SmallDoge/stable_dataset_processed · Datasets at Hugging Face

input_ids listlengths 1 2.05k	attention_mask listlengths 1 2.05k
[ 4532, 2064, 540, 519, 3735, 8374, 540, 538, 2550, 5701, 609, 454, 2784, 2747, 3797, 585, 16658, 302, 3942, 25153, 26217, 540, 519, 29897, 14677, 1460, 563, 4504, 808, 7101, 9332, 2201, 3712, 22776, 4284, 476, 3953, 281, 12553, 280, 268, 9873, 271, 267, 476, 1960, 276, 563, 2764, 269, 13053, 26146, 12789, 267, 28927, 3298, 11083, 267, 1744, 574, 3385, 670, 267, 1696, 620, 281, 24942, 32646, 1260, 553, 607, 454, 16149, 23872, 683, 21182, 916, 1739, 6689, 2860, 269, 9435, 454, 3066, 269, 25109, 3062, 681, 298, 267, 918, 788, 1676, 808, 299, 267, 7338, 11553, 267, 1696, 620, 281, 11671, 17595, 12278, 454, 10818, 532, 540, 15000, 540, 6689, 1199, 1638, 984, 18431, 5448, 19747, 547, 454, 516, 576, 633, 6671, 610, 4389, 1673, 846, 1835, 8643, 2214, 1400, 23735, 2747, 281, 589, 454, 303, 8824, 2201, 19223, 6828, 1353, 269, 808, 7885, 2201, 3712, 476, 1626, 281, 15094, 274, 268, 15094, 279, 267, 476, 1960, 279, 563, 1789, 269, 661, 604, 601, 623, 297, 267, 667, 4689, 1091, 517, 9399, 267, 7338, 11553, 281, 15863, 540, 3395, 5642, 547, 454, 597, 2784, 2747, 281, 589, 6069, 3735, 2360, 18176, 1062, 269, 2271, 808, 7101, 9332, 454, 4002, 3712, 22776, 4284, 476, 4029, 281, 9873, 272, 268, 9873, 278, 267, 476, 1960, 276, 563, 4029, 269, 18706, 8014, 808, 305, 267, 6762, 614, 12463, 267, 623, 10098, 589, 297, 267, 1696, 620, 281, 24658, 268, 3849, 686, 18081, 11142, 454, 5793, 13905, 281, 2776, 14083, 4791, 7422, 269, 9435, 476, 3607, 281, 280, 5379, 268, 280, 5392, 267, 476, 3192, 276, 563, 3953, 269, 30110, 4861, 32518, 281, 5004, 540, 2038, 22533, 32095, 326, 9469, 2068, 281, 589, 454, 11666, 5224, 4720, 269, 12054, 514, 2201, 3712, 476, 1839, 281, 5325, 277, 268, 4366, 273, 267, 476, 1960, 279, 563, 3451, 269, 18774, 2006, 590, 267, 15636, 333, 1157, 19845, 281, 25745, 1591, 22930, 281, 1323, 7778, 540, 519, 454, 17218, 2360, 540, 11118, 582, 2135, 1231, 269, 2271, 808, 7101, 9332, 2201, 3712, 22776, 4284, 476, 273, 281, 8687, 267, 476, 3192, 278, 563, 4097, 269, 8709, 3541, 918, 690, 601, 589, 297, 281, 31469, 540, 3735, 5982, 5945, 538, 519, 454, 4944, 1400, 10260, 267, 538, 2725, 2106, 11555, 267, 31864, 1667, 15679, 281, 24658, 10334, 538, 9435, 454, 10932, 267, 6032, 476, 5379, 272, 268, 30420, 269, 1715, 3840, 267, 681, 13273, 4964, 267, 476, 2735, 271, 563, 3374, 269, 4414, 28727, 11404, 267, 9412, 6202, 590, 267, 932, 2426, 23404, 267, 1696, 620, 281, 12192, 589, 29620, 454, 2784, 2747, 14001, 13969, 517, 4345, 538, 14148, 269, 808, 25326, 337, 476, 12553, 281, 14917, 272, 268, 14917, 275, 267, 476, 1960, 279, 563, 3607, 269, 2098, 527, 23364, 681, 297, 267, 918, 582, 331, 4752, 681, 300, 267, 2098, 26907, 570, 267, 1696, 620, 281, 4825, 3626, 545, 3679, 22629, 454, 1993, 17727, 4157, 514, 268, 272, 13251, 17727, 4157, 514, 268, 277, 2504, 676, 1480, 5761, 454, 325, 756, 549, 4565, 6814, 269, 808, 16332, 565, 476, 13923, 281, 15221, 280, 268, 16318, 278, 267, 476, 1960, 275, 563, 4391, 269, 20484, 715, 267, 590, 29229, 918, 300, 281, 1290, 4124, 540, 782, 10942, 545, 5642, 20768, 454, 10520, 8690, 566, 269, 4354, 337, 25709, 12920, 520, 565, 476, 272, 281, 32076, 268, 30329, 267, 476, 1960, 275, 563, 4343, 269, 2561, 601, 29231, 21598, 281, 634, 3310, 540, 2698, 9570, 267, 6824, 566, 267, 9570, 454, 3433, 267, 543, 3892, 540, 2698, 1560, 23735, 2747, 593, 5642, 20768, 454, 10520, 8690, 566, 269, 12054, 514, 2201, 3712, 476, 736, 630, 26625, 331, 476, 275, 2567, 274, 268, 1015, 267, 476, 1960, 274, 563, 4375, 269, 16511, 520, 22088, 674, 267, 717, 1640, 15001, 328, 717, 267, 623, 11970, 589, 1696, 620, 281, 17623, 2360, 538, 454, 18244, 1310, 5642, 20768, 24328, 281, 589, 2689, 269, 12794, 14670, 860, 807, 454, 2412, 269, 5453, 671, 517, 23140, 281, 634, 10237, 11893, 11043, 4493, 540, 2698, 1560, 23735, 2747, 269, 5696, 454, 297, 7101, 2723, 476, 3583, 281, 6344, 275, 268, 6344, 278, 267, 476, 1960, 278, 563, 6078, 269, 13643, 15829, 267, 8845, 667, 267, 21582, 534, 681, 267, 1696, 620, 281, 2806, 7538, 2234, 3930, 27383, 540, 454, 569, 332, 874, 14231, 689, 6089, 2860, 2550, 609, 7050, 3339, 5160, 454, 17043, 720, 1310, 2234, 23956, 281, 26537, 25593, 32623, 5928, 1310, 1970, 9570, 268, 3433, 454, 597, 2784, 2747, 269, 2271, 808, 7101, 9332, 22776, 476, 6858, 281, 31982, 268, 276, 2764, 267, 476, 1960, 276, 563, 5655, 269, 681, 4461, 599, 808, 267, 21960, 22641, 717, 281, 16453, 5160, 2234, 3930, 27383, 538, 6089, 454, 4754, 1356, 2550, 269, 2271, 808, 7101, 9332, 2201, 3712, 22776, 4284, 476, 4029, 281, 26552, 268, 30306, 267, 476, 1960, 276, 563, 6246, 269, 7935, 1188, 26146, 267, 570, 27462, 20793, 267, 717, 792, 320, 674, 289, 267, 1696, 620, 281, 17316, 549, 4565, 770, 2234, 3930, 27383, 454, 341, 338, 8650, 543, 3735, 3339, 2960, 6114, 538, 2550, 5701, 585, 454, 3691, 770, 2860, 269, 2271, 808, 7101, 9332, 2201, 3712, 22776, 4284, 476, 3953, 281, 15389, 272, 268, 15389, 280, 267, 476, 1960, 276, 563, 4510, 269, 21960, 22641, 28047, 267, 681, 4461, 599, 808, 305, 281, 1473, 25934, 540, 533, 7871, 3940, 676, 18325, 454, 2784, 2747, 538, 9726, 22889, 3515, 689, 6089, 2860, 2550, 269, 5696, 808, 454, 4692, 1356, 476, 7761, 281, 11820, 277, 268, 8099, 272, 267, 476, 1960, 276, 563, 3393, 269, 14480, 560, 808, 267, 2983, 321, 28496, 661, 267, 3026, 889, 21516, 590, 281, 2052, 606, 5393, 11506, 454, 2784, 3930, 27383, 538, 2550, 581, 6444, 676, 519, 538, 20117, 4152, 540, 454, 569, 332, 874, 14231, 286, 18135, 25632, 550, 615, 2201, 330, 565, 476, 14378, 281, 6812, 272, 268, 6812, 277, 267, 476, 1960, 276, 563, 5379, 269, 8092, 9460, 281, 5525, 540, 2860, 543, 5982, 9570, 1851, 10570, 10514, 454, 31162, 341, 643, 832, 281, 634, 1383, 540, 6089, 2860, 269, 808, 24717, 476, 28638, 281, 29710, 268, 2412, 278, 267, 476, 1960, 276, 563, 5325, 269, 623, 15127, 21096, 267, 1744, 574, 714, 340, 962, 267, 2776, 8725, 667, 299, 267, 1696, 620, 281, 5525, 540, 519, 9019, 454, 1993, 10570, 10514, 15000, 281, 7797, 476, 1321, 267, 3487, 594, 269, 9435, 281, 476, 4198, 271, 268, 1960, 271, 563, 20238, 9332, 1763, 476, 16409, 281, 272, 268, 2767, 267, 476, 1960, 277, 563, 4366, 269, 932, 871, 4599, 677, 344, 681, 267, 590, 1678, 15546, 541, 18885, 534, 918, 281, 9435, 32739, 2676, 2784, 3930, 27383, 267, 543, 519, 1981, 540, 5982, 14001, 11871, 281, 4083, 269, 589, 454, 300, 754, 27318, 2582, 2000, 1371, 2203, 540, 2860, 32739, 543, 454, 2784, 3930, 27383, 585, 17782, 2860, 4220, 538, 5095, 269, 7101, 9332, 454, 4910, 476, 16960, 281, 27840, 268, 22145, 267, 476, 1960, 276, 563, 5392, 269, 17547, 11985, 6441, 27267, 6339, 667, 267, 29457, 5362, 589, 281, 2311, 1314, 807, 22007, 30231, 624, 14901, 281, 1548, 1764, 538, 454, 30570, 593, 19223, 286, 18409, 9435, 630, 13640, 529, 264, 476, 8064, 281, 277, 3393, 268, 20981, 267, 476, 1960, 273, 563, 2004, 269, 8065, 661, 297, 267, 5576, 858, 623, 289, 267, 670, 3471, 23817, 267, 1696, 620, 281, 589, 16861, 1867, 912, 293, 15968, 540, 589, 6874, 10636, 27340, 4925, 1851, 17150, 2860, 2550, 609, 454, 572, 3164, 3735, 6114, 547, 5982, 3797, 269, 9435, 808, 2233, 2549, 454, 7906, 269, 10162, 320, 645, 267, 15196, 323, 21191, 267, 5292, 857, 330, 267, 1696, 620, 281, 12891, 5287, 21532, 6014, 2551, 454, 325, 7528, 4293, 585, 1455, 13592, 538, 19836, 7563, 272, 543, 19836, 7563, 273, 269, 14844, 2637, 564, 454, 7367, 269, 9741, 808, 289, 281, 24658, 14001, 4719, 16132, 269, 2271, 808, 7101, 9332, 454, 289, 2723, 476, 10619, 281, 5780, 274, 268, 6858, 272, 267, 476, 1960, 279, 563, 7871, 269, 9741, 808, 289, 267, 18491, 553, 11867, 670, 267, 26172, 523, 940, 570, 1696, 620, 281, 24658, 14001, 454, 2102, 5669, 16132, 281, 5548, 26359, 4573, 10402, 545, 543, 11118, 21925, 2360, 540, 454, 343, 17530, 543, 13672, 5536, 269, 7101, 9332, 1763, 476, 16825, 281, 26482, 268, 28906, 267, 476, 1960, 278, 563, 7918, 269, 18961, 700, 297, 267, 11969, 619, 6261, 12317, 3464, 517, 717, 267, 2473, 340, 589, 267, 1696, 620, 281, 28080, 9643, 11118, 32194, 454, 597, 2784, 2747, 609, 13672, 5536, 28901, 13592, 538, 27899, 454, 3250, 338, 269, 28540, 14844, 331, 6298, 2233, 7330, 476, 9834, 281, 275, 4817, 280, 268, 5392, 277, 275, 267, 476, 1960, 280, 563, 4649, 269, 589, 3960, 600, 661, 296, 267, 632, 24729, 539, 334, 15382, 267, 6153, 532, 570, 267, 1696, 620, 281, 3955, 14978, 454, 23890, 568, 3238, 538, 519, 676, 1056, 518, 7939, 540, 5444, 454, 10339, 1833, 538, 1480, 2281, 6534, 547, 1360, 1970, 2770, 1878, 540, 13672, 454, 4820, 2873, 269, 7101, 9332, 1763, 476, 5611, 281, 5392, 278, 268, 27843, 267, 476, 1960, 279, 563, 6321, 269, 18774, 2006, 590, 267, 1284, 747, 1088, 29231, 681, 305, 281, 24658, 593, 19223, 269, 808, 24717, 454, 6872, 269, 966, 6359, 599, 752, 20783, 590, 267, 16441, 11632, 281, 23840, 540, 1614, 21021, 454, 935, 845, 531, 5982, 3797, 281, 18370, 11072, 267, 3255, 267, 543, 454, 577, 718, 10622, 269, 2271, 808, 7101, 9332, 2201, 3712, 22776, 4284, 476, 3451, 281, 280, 8064, 268, 7176, 274, 267, 476, 1960, 276, 563, 6812, 269, 853, 20415, 651, 631, 267, 774, 1868, 18074, 281, 15214, 325, 3555, 730, 2234, 23956, 540, 1480, 454, 339, 636, 832, 281, 11137, 540, 519, 19747, 4791, 8062, 269, 2271, 808, 7101, 9332, 454, 4002, 3712, 22776, 4284, 476, 4391, 281, 28796, 268, 29045, 267, 476, 1960, 278, 563, 6795, 269, 2672, 527, 670, 267, 772, 4471, 631, 281, 1160, 2023, 20832, 538, 5982, 3797, 269, 808, 14844, 331, 9435, 454, 9743, 476, 10019, 281, 476, 14028, 268, 13932, 267, 476, 1960, 273, 563, 2568, 269, 23821, 710, 589, 297, 281, 533, 7871, 267, 519, 10408, 10766, 24010, 585, 2208, 269, 8426, 454, 8618, 269, 6754, 990, 747, 17985, 267, 570, 665, 5414, 985, 7288, 667, 303, 267, 19134, 6202, 23435, 281, 1879, 2638, 9557, 3111, 563, 28053, 476, 6434, 281, 476, 25628, 268, 25834, 267, 476, 1960, 278, 563, 7830, 269, 918, 770, 534, 15406, 281, 17449, 7350, 540, 519, 1591, 281, 634, 1591, 4783, 267, 538, 454, 5719, 309, 7534, 966, 307, 267, 18774, 2006, 590, 267, 25347, 6199, 14408, 630, 2644, 2567, 9435, 269, 14362, 543, 454, 20797, 540, 2201, 19223, 267, 476, 276, 628, 1196, 267, 6032, 476, 13199, 268, 16328, 269, 15740, 2676, 8287, 269, 28865, 570, 281, 2201, 19817, 4710, 514, 5121, 269, 8426, 476, 6434, 281, 18357, 268, 31798, 267, 476, 1960, 278, 563, 5038, 269, 3131, 9469, 6789, 267, 590, 1181, 667, 293, 281, 17449, 7350, 540, 2860, 912, 4002, 322, 4094, 525, 267, 538, 1546, 309, 7534, 966, 307, 267, 18774, 2006, 590, 267, 25347, 6199, 14408, 281, 9435, 269, 14362, 454, 663, 6657, 540, 2201, 19223, 267, 476, 276, 628, 1196, 267, 6032, 476, 8064, 268, 9083, 269, 15740, 2676, 4792, 269, 4477, 3387, 549, 758, 9823, 267, 9986, 858, 589, 267, 18582, 2125, 808, 289, 281, 10507, 1606, 1113, 338, 540, 5365, 454, 10520, 9134, 267, 538, 1546, 309, 7534, 966, 307, 267, 18774, 2006, 590, 267, 25347, 6199, 14408, 281, 9435, 912, 7468, 514, 3321, 543, 6657, 540, 2201, 19223, 267, 476, 276, 628, 1196, 267, 6032, 476, 3374, 268, 5379, 269, 15740, 2676, 5780, 269, 932, 7776, 667, 307, 267, 918, 832, 1889, 9807, 590, 297, 281, 7460, 299, 268, 273, 1920, 281, 3204, 22399, 540, 1591, 2669, 563, 2304, 20692, 4860, 16332, 565, 476, 1626, 281, 4375, 276, 268, 275, 866, 267, 476, 1960, 279, 563, 6858, 269, 966, 14513, 667, 299, 281, 595, 3633, 1492, 3791, 7504, 2006, 540, 30091, 269, 8426, 454, 6924, 269, 18491, 1092, 590, 281, 7442, 9953, 2670, 676, 2669, 3815, 269, 8426, 476, 6434, 281, 28307, 268, 3607, 277, 267, 476, 1960, 278, 563, 7597, 269, 2725, 2106, 11555, 267, 5153, 2380, 31446, 267, 6660, 553, 700, 281, 5358, 4364, 1591, 2669, 543, 454, 2784, 1470, 637, 2700, 269, 9435, 5450, 770, 12118, 4860, 476, 1428, 281, 15686, 268, 14530 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 5814, 2979, 454, 6050, 815, 1496, 1467, 14714, 8692, 3890, 585, 1899, 538, 1930, 2891, 6358, 2580, 1412, 337, 10807, 2639, 332, 13293, 815, 1496, 842, 263, 1467, 264, 585, 1899, 538, 3515, 952, 1899, 2639, 30669, 815, 1496, 4118, 269, 28776, 9852, 1315, 476, 274, 264, 910, 476, 273, 585, 544, 538, 13999, 2639, 2745, 4433, 636, 6600, 340, 1564, 4297, 0, 1598, 272, 284, 3863, 17750, 4590, 1477, 1598, 273, 284, 3863, 17750, 4590, 1477, 4289, 284, 9131, 272, 12887, 273, 12887, 274, 12887, 275, 12887, 276, 12887, 277, 12887, 278, 12887, 279, 12887, 280, 12887, 271, 23300, 1477, 604, 1193, 272, 538, 1592, 912, 453, 1477, 825, 1820, 3488, 11767, 519, 4570, 3403, 5073, 1477, 19197, 1193, 273, 538, 1592, 912, 453, 1477, 825, 1820, 3488, 11767, 519, 4570, 3403, 5073, 1477, 12828, 912, 17264, 1477, 825, 1250, 1598, 284, 1598, 272, 266, 1598, 273, 454, 2018, 1477, 825, 1820, 1250, 1598, 0, 1598, 272, 284, 3863, 17750, 4590, 1477, 1598, 273, 284, 3863, 17750, 4590, 1477, 3240, 1598, 272, 284, 6352, 19304, 272, 994, 1477, 3240, 1598, 273, 284, 6352, 19304, 273, 264, 457, 692, 604, 30044, 1598, 272, 2525, 3240, 1598, 273, 2187, 453, 1477, 825, 1820, 1193, 272, 457, 692, 19197, 30044, 1598, 272, 285, 3240, 1598, 273, 2187, 453, 1477, 825, 1820, 1193, 272, 454, 1477, 12828, 912, 453, 1477, 825, 1820, 1193, 273, 0, 5814, 5299, 692, 308, 2793, 7704, 22218, 3633, 815, 476, 271, 454, 13993, 19272, 815, 476, 272, 454, 20062, 25492, 815, 476, 273, 454, 309, 3041, 3951, 3633, 815, 476, 274, 454, 9898, 305, 3951, 12088, 318, 13993, 19272, 815, 476, 275, 454, 9898, 305, 3951, 12088, 318, 20062, 25492, 815, 476, 276, 692, 5035, 8641, 912, 825, 5727, 288, 2241, 3768, 20526, 3113, 27969, 692, 825, 1219, 6449, 8181, 9191, 1345, 267, 5044, 2187, 1038, 5727, 9743, 21468, 919, 513, 1007, 3113, 689, 513, 2016, 476, 273, 291, 268, 6783, 780, 1038, 14803, 3701, 912, 1038, 5044, 4534, 634, 476, 273, 291, 268, 6783, 540, 2418, 547, 4020, 519, 3113, 689, 454, 1038, 29185, 1038, 1582, 8542, 3941, 815, 29129, 1038, 6843, 26161, 815, 20886, 11966, 8443, 3910, 1871, 264, 585, 1871, 538, 4737, 316, 585, 4737, 538, 5044, 6540, 1038, 585, 586, 267, 4737, 538, 26246, 27316, 26161, 2187, 2018, 585, 1535, 267, 6843, 538, 26246, 21405, 2187, 3546, 30256, 815, 29129, 3546, 952, 586, 3436, 476, 271, 912, 7386, 30256, 6910, 27316, 26161, 314, 344, 910, 476, 272, 6012, 343, 7481, 3546, 952, 586, 2999, 7003, 27316, 26161, 264, 910, 476, 272, 912, 7386, 30256, 6910, 27316, 26161, 314, 344, 1341, 476, 272, 6012, 343, 7481, 3546, 952, 1535, 3436, 476, 271, 912, 7386, 30256, 6910, 27316, 26161, 314, 344, 6012, 343, 910, 476, 272, 7481, 3546, 952, 1535, 2999, 7003, 21405, 264, 910, 476, 272, 912, 7386, 30256, 6910, 27316, 26161, 314, 344, 6012, 343, 1341, 476, 272, 20285, 3546, 6843, 269, 31371, 321, 2293, 815, 30256, 692, 1038, 585, 4737, 538, 6843, 26161, 912, 2018, 585, 6843, 538, 4737, 912, 3546, 1582, 8542, 3941, 6910, 27316, 9239, 5035, 19219, 912, 825, 5727, 288, 2241, 6843, 538, 606, 3768, 20526, 3113, 27969, 692, 825, 1219, 6449, 8181, 9191, 1345, 267, 30256, 267, 1871, 2187, 1038, 5727, 9743, 21468, 919, 513, 1007, 6843, 609, 606, 5044, 540, 30256, 543, 513, 1871, 780, 1038, 14803, 3701, 912, 1038, 30256, 4534, 634, 6843, 1592, 540, 30256, 454, 1038, 1871, 4534, 634, 6843, 1871, 454, 1038, 29185, 1038, 1582, 269, 31371, 321, 2293, 815, 30256, 454, 1038, 1582, 27841, 815, 1871, 7531, 3698, 1293, 318, 614, 761, 800, 263, 18429, 2187, 825, 5727, 15575, 338, 519, 8513, 6417, 676, 519, 5716, 780, 825, 14803, 3701, 912, 825, 10007, 4534, 634, 476, 273, 291, 268, 6783, 540, 10007, 1141, 476, 272, 815, 3109, 267, 476, 273, 815, 3043, 543, 476, 271, 815, 1100, 6149, 454, 825, 29185, 825, 3113, 815, 8641, 263, 18429, 2020, 825, 1948, 1284, 6338, 519, 1007, 1871, 476, 274, 799, 1797, 519, 6843, 814, 1044, 10272, 855, 568, 711, 851, 540, 513, 6345, 781, 8513, 454, 825, 585, 6843, 538, 3113, 8542, 3941, 912, 1038, 952, 6843, 27841, 2652, 966, 3041, 3951, 3633, 912, 2018, 3136, 692, 1038, 1948, 19219, 814, 711, 2943, 1044, 10272, 454, 1038, 952, 6843, 27841, 2652, 772, 2793, 7704, 22218, 3633, 912, 2018, 6449, 4148, 797, 27316, 2020, 825, 8513, 15575, 14937, 815, 476, 271, 454, 825, 8513, 15575, 19669, 815, 476, 271, 454, 825, 8513, 815, 5299, 19709, 788, 32476, 263, 18429, 2020, 825, 585, 6843, 538, 3113, 8542, 3941, 912, 1038, 952, 6843, 27841, 2652, 570, 2207, 305, 3951, 12088, 318, 13993, 19272, 912, 2018, 8513, 15575, 14937, 6834, 476, 272, 454, 1038, 8640, 6843, 27841, 2652, 570, 2207, 305, 3951, 12088, 318, 20062, 25492, 912, 2018, 8513, 15575, 19669, 6834, 476, 272, 692, 825, 4994, 815, 476, 271, 692, 825, 585, 586, 267, 4737, 538, 26246, 263, 614, 761, 800, 2187, 1038, 585, 1535, 267, 9041, 538, 26246, 21405, 2187, 2018, 8513, 314, 344, 6012, 343, 316, 815, 3113, 8542, 3941, 27709, 4940, 7407, 454, 2018, 4994, 6834, 476, 272, 692, 825, 2132, 1496, 614, 761, 800, 15575, 14937, 267, 8513, 15575, 19669, 267, 8513, 6540, 454, 3698, 6449, 4148, 797, 263, 11034, 2187, 825, 5727, 8110, 13257, 513, 2241, 3178, 23867, 3406, 585, 782, 11105, 9136, 1510, 10007, 267, 4358, 689, 519, 2016, 6843, 563, 825, 1403, 649, 5734, 513, 3109, 6149, 267, 1665, 3388, 607, 3109, 8513, 563, 825, 1403, 649, 5734, 513, 3043, 6149, 267, 1665, 3388, 607, 3043, 8513, 563, 825, 1403, 649, 5734, 1312, 267, 621, 781, 9444, 780, 825, 14803, 3701, 912, 825, 1376, 4534, 634, 4358, 6843, 454, 825, 29185, 825, 10518, 815, 1496, 11034, 2639, 825, 10272, 815, 11713, 825, 3109, 815, 8771, 454, 825, 3043, 815, 8771, 692, 825, 1247, 10518, 912, 1038, 6843, 815, 10518, 21014, 4590, 1038, 6843, 27841, 815, 966, 3041, 3951, 3633, 454, 1038, 10272, 6910, 27316, 2020, 1038, 585, 16705, 538, 6843, 269, 31371, 321, 2293, 912, 2018, 952, 16705, 27841, 2652, 772, 2793, 7704, 22218, 3633, 912, 3546, 10518, 6910, 263, 31371, 13118, 994, 2018, 8640, 16705, 27841, 2652, 19154, 19272, 912, 3546, 3109, 815, 6936, 454, 2018, 8640, 16705, 27841, 2652, 18040, 25492, 912, 3546, 3043, 815, 6936, 692, 825, 1948, 1677, 5094, 8513, 689, 519, 10007, 649, 1689, 3109, 689, 476, 272, 547, 476, 275, 543, 3043, 689, 476, 273, 547, 476, 276, 454, 825, 585, 6843, 538, 10272, 912, 1038, 952, 3109, 543, 711, 3043, 912, 2018, 6843, 27841, 815, 570, 2207, 305, 3951, 12088, 318, 13993, 19272, 454, 1038, 8640, 3043, 543, 711, 3109, 912, 2018, 6843, 27841, 815, 570, 2207, 305, 3951, 12088, 318, 20062, 25492, 692, 258, 5228, 2721, 1104, 10439, 32317, 454, 258, 18429, 815, 1496, 454, 258, 825, 1496, 271, 267, 476, 271, 267, 476, 272, 267, 476, 271, 267, 476, 271, 267, 476, 271, 267, 476, 271, 267, 476, 271, 267, 476, 271, 267, 476, 271, 267, 476, 271, 267, 476, 271, 267, 476, 271, 267, 476, 271, 267, 476, 271, 267, 476, 271, 267, 476, 271, 267, 476, 271, 267, 476, 271, 16689, 258, 825, 1496, 271, 267, 476, 271, 267, 476, 272, 267, 476, 271, 267, 476, 271, 267, 476, 271, 267, 476, 271, 267, 476, 271, 267, 476, 271, 267, 476, 271, 267, 476, 271, 267, 476, 271, 267, 476, 271, 267, 476, 271, 267, 476, 271, 267, 476, 271, 267, 476, 271, 267, 476, 271, 267, 476, 271, 16689, 258, 825, 1496, 271, 267, 476, 271, 267, 476, 272, 267, 476, 271, 267, 476, 271, 267, 476, 271, 267, 476, 271, 267, 476, 271, 267, 476, 271, 267, 476, 271, 267, 476, 271, 267, 476, 271, 267, 476, 271, 267, 476, 271, 267, 476, 271, 267, 476, 271, 267, 476, 271, 267, 476, 271, 267, 476, 271, 16689, 258, 825, 1496, 272, 267, 476, 272, 267, 476, 271, 267, 476, 271, 267, 476, 271, 267, 476, 271, 267, 476, 271, 267, 476, 271, 267, 476, 271, 267, 476, 271, 267, 476, 271, 267, 476, 271, 267, 476, 271, 267, 476, 271, 267, 476, 271, 267, 476, 271, 267, 476, 271, 267, 476, 271, 267, 476, 271, 16689, 258, 825, 1496, 271, 267, 476, 271, 267, 476, 271, 267, 476, 271, 267, 476, 271, 267, 476, 271, 267, 476, 271, 267, 476, 271, 267, 476, 271, 267, 476, 271, 267, 476, 271, 267, 476, 271, 267, 476, 271, 267, 476, 271, 267, 476, 271, 267, 476, 271, 267, 476, 271, 267, 476, 271, 267, 476, 271, 16689, 258, 825, 1496, 271, 267, 476, 271, 267, 476, 271, 267, 476, 271, 267, 476, 271, 267, 476, 271, 267, 476, 271, 267, 476, 271, 267, 476, 271, 267, 476, 271, 267, 476, 271, 267, 476, 271, 267, 476, 271, 267, 476, 271, 267, 476, 271, 267, 476, 271, 267, 476, 271, 267, 476, 271, 267, 476, 271, 16689, 258, 825, 1496, 271, 267, 476, 271, 267, 476, 271, 267, 476, 271, 267, 476, 271, 267, 476, 271, 267, 476, 273, 267, 476, 271, 267, 476, 271, 267, 476, 271, 267, 476, 271, 267, 476, 271, 267, 476, 271, 267, 476, 271, 267, 476, 271, 267, 476, 271, 267, 476, 271, 267, 476, 271, 267, 476, 271, 16689, 258, 825, 1496, 271, 267, 476, 271, 267, 476, 271, 267, 476, 271, 267, 476, 271, 267, 476, 271, 267, 476, 271, 267, 476, 271, 267, 476, 271, 267, 476, 271, 267, 476, 271, 267, 476, 271, 267, 476, 271, 267, 476, 271, 267, 476, 271, 267, 476, 271, 267, 476, 271, 267, 476, 271, 267, 476, 271, 16689, 258, 825, 1496, 271, 267, 476, 271, 267, 476, 271, 267, 476, 271, 267, 476, 271, 267, 476, 271, 267, 476, 271, 267, 476, 271, 267, 476, 271, 267, 476, 271, 267, 476, 271, 267, 476, 271, 267, 476, 271, 267, 476, 271, 267, 476, 271, 267, 476, 271, 267, 476, 271, 267, 476, 271, 267, 476, 271, 16689, 258, 825, 1496, 271, 267, 476, 271, 267, 476, 271, 267, 476, 271, 267, 476, 271, 267, 476, 271, 267, 476, 271, 267, 476, 272, 267, 476, 271, 267, 476, 271, 267, 476, 271, 267, 476, 271, 267, 476, 271, 267, 476, 271, 267, 476, 271, 267, 476, 271, 267, 476, 271, 267, 476, 271, 267, 476, 271, 16689, 258, 825, 1496, 271, 267, 476, 271, 267, 476, 271, 267, 476, 271, 267, 476, 271, 267, 476, 271, 267, 476, 271, 267, 476, 271, 267, 476, 271, 267, 476, 271, 267, 476, 271, 267, 476, 271, 267, 476, 271, 267, 476, 271, 267, 476, 271, 267, 476, 271, 267, 476, 271, 267, 476, 271, 267, 476, 271, 16689, 258, 825, 1496, 271, 267, 476, 271, 267, 476, 271, 267, 476, 271, 267, 476, 271, 267, 476, 271, 267, 476, 271, 267, 476, 271, 267, 476, 271, 267, 476, 271, 267, 476, 271, 267, 476, 271, 267, 476, 271, 267, 476, 271, 267, 476, 271, 267, 476, 271, 267, 476, 271, 267, 476, 271, 267, 476, 271, 16689, 258, 825, 1496, 271, 267, 476, 271, 267, 476, 271, 267, 476, 273, 267, 476, 271, 267, 476, 271, 267, 476, 271, 267, 476, 271, 267, 476, 271, 267, 476, 271, 267, 476, 271, 267, 476, 271, 267, 476, 271, 267, 476, 271, 267, 476, 271, 267, 476, 271, 267, 476, 271, 267, 476, 271, 267, 476, 271, 16689, 258, 825, 1496, 271, 267, 476, 271, 267, 476, 273, 267, 476, 271, 267, 476, 273, 267, 476, 271, 267, 476, 271, 267, 476, 271, 267, 476, 271, 267, 476, 271, 267, 476, 271, 267, 476, 271, 267, 476, 271, 267, 476, 271, 267, 476, 271, 267, 476, 271, 267, 476, 271, 267, 476, 271, 267, 476, 271, 16689, 258, 825, 1496, 271, 267, 476, 271, 267, 476, 271, 267, 476, 273, 267, 476, 272, 267, 476, 271, 267, 476, 271, 267, 476, 271, 267, 476, 271, 267, 476, 271, 267, 476, 271, 267, 476, 271, 267, 476, 271, 267, 476, 271, 267, 476, 271, 267, 476, 271, 267, 476, 271, 267, 476, 271, 267, 476, 271, 16689, 258, 825, 1496, 271, 267, 476, 271, 267, 476, 271, 267, 476, 271, 267, 476, 271, 267, 476, 271, 267, 476, 271, 267, 476, 271, 267, 476, 271, 267, 476 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 264, 634, 5207, 2597, 568, 476, 274, 269, 272, 4846, 563, 31702, 264, 634, 9803, 2597, 568, 476, 273, 269, 272, 4846, 563, 263, 643, 264, 634, 2039, 568, 476, 274, 269, 272, 315, 314, 10559, 316, 273, 269, 272, 267, 1775, 4318, 269, 476, 272, 4846, 563, 17635, 264, 634, 1297, 540, 9002, 4535, 593, 602, 1554, 568, 476, 1428, 563, 263, 12858, 264, 634, 1297, 540, 9002, 4171, 12035, 616, 2630, 476, 273, 269, 276, 4846, 568, 476, 275, 630, 328, 4318, 269, 476, 273, 269, 275, 267, 476, 273, 269, 274, 267, 476, 273, 269, 273, 267, 476, 273, 269, 272, 1916, 17635, 4512, 264, 634, 1297, 540, 9002, 4171, 12035, 616, 811, 982, 476, 273, 269, 279, 4846, 568, 476, 275, 630, 328, 4318, 269, 476, 274, 269, 272, 267, 476, 274, 269, 271, 267, 476, 273, 269, 280, 267, 476, 273, 269, 280, 1916, 17635, 13839, 264, 634, 1297, 540, 9002, 4171, 2597, 568, 476, 273, 269, 279, 4846, 568, 476, 273, 563, 21581, 20861, 338, 1280, 2353, 23527, 454, 268, 25944, 540, 4578, 0, 298, 531, 1084, 326, 14086, 1325, 600, 520, 3131, 639, 21036, 534, 623, 1068, 3711, 22462, 15506, 889, 4673, 454, 20091, 8223, 5755, 5599, 8302, 2789, 3903, 17576, 7723, 5599, 7044, 538, 533, 8140, 7663, 659, 5373, 540, 513, 1871, 6908, 11837, 538, 519, 5599, 2872, 6149, 5599, 3937, 9467, 1382, 3584, 538, 5599, 5599, 3937, 585, 9042, 538, 563, 10870, 531, 14086, 6096, 9752, 8249, 454, 3519, 13935, 513, 476, 272, 22240, 2542, 8574, 593, 30517, 8695, 543, 5755, 332, 1149, 1282, 519, 4853, 4838, 269, 2467, 568, 849, 835, 2542, 8223, 4976, 267, 543, 513, 3610, 1883, 269, 4467, 11772, 542, 2055, 616, 3020, 610, 7301, 2789, 3903, 543, 1930, 8694, 267, 543, 1331, 1312, 21055, 543, 1102, 22460, 2055, 563, 21296, 14893, 5450, 718, 21395, 19139, 11929, 5999, 454, 21296, 3903, 12669, 21395, 5542, 981, 2055, 267, 8302, 4148, 1662, 3758, 14273, 689, 9042, 538, 5045, 21562, 2407, 1257, 540, 2442, 11418, 476, 4198, 275, 268, 3422, 274, 737, 617, 328, 21287, 543, 1489, 3758, 21305, 3301, 3284, 330, 2146, 3301, 20444, 1673, 657, 524, 323, 268, 668, 3301, 524, 323, 268, 668, 3301, 5399, 563, 296, 601, 1206, 7335, 631, 10248, 10361, 902, 14288, 1656, 454, 1103, 519, 476, 1408, 1206, 2542, 3296, 267, 972, 616, 2356, 476, 1691, 1114, 2010, 540, 2055, 855, 585, 1142, 2542, 1257, 267, 596, 949, 1205, 476, 274, 610, 476, 275, 1114, 2010, 547, 2626, 269, 2791, 1522, 1205, 3020, 7301, 711, 2016, 267, 9811, 1100, 711, 2016, 267, 11264, 513, 4845, 267, 12805, 513, 16144, 610, 2789, 3903, 547, 2012, 1175, 513, 1906, 563, 8660, 7454, 594, 601, 1206, 7335, 16103, 594, 601, 1206, 7335, 7335, 454, 22261, 476, 2918, 267, 476, 1001, 275, 910, 1114, 5751, 585, 1312, 4081, 543, 2489, 911, 532, 9074, 20193, 568, 1175, 585, 707, 2542, 2259, 2529, 2465, 811, 2093, 827, 476, 1408, 1206, 2542, 267, 2542, 2259, 267, 476, 1408, 1206, 563, 10870, 531, 4400, 3427, 3047, 3163, 7689, 6096, 454, 10870, 531, 1164, 1153, 3618, 2257, 6185, 529, 2452, 532, 782, 3211, 1644, 547, 910, 5755, 1164, 1153, 3618, 2257, 15030, 3311, 19298, 616, 812, 332, 1456, 1343, 7739, 1464, 3942, 1626, 9188, 1600, 29798, 267, 2257, 12826, 2055, 753, 9955, 585, 3618, 2257, 267, 3618, 2257, 267, 5755, 1648, 267, 2073, 3184, 476, 272, 4367, 547, 3618, 2257, 267, 4704, 7515, 585, 2168, 4259, 24160, 2257, 267, 1648, 8925, 27972, 2763, 960, 563, 5379, 5729, 6196, 17719, 9605, 8033, 1132, 1677, 3911, 27212, 8866, 454, 293, 677, 344, 29350, 1296, 3516, 3844, 807, 267, 513, 1507, 4884, 4092, 538, 7532, 7266, 1537, 4050, 11796, 1031, 547, 581, 513, 14297, 5755, 2173, 1456, 4884, 609, 936, 476, 273, 267, 4335, 7264, 269, 9213, 267, 621, 568, 711, 1256, 7396, 538, 1034, 7851, 543, 922, 2551, 814, 546, 13388, 1194, 1524, 547, 476, 1015, 267, 7064, 547, 513, 3595, 602, 3112, 581, 24773, 1639, 563, 296, 601, 1206, 4937, 9751, 7335, 17130, 7392, 476, 272, 13038, 454, 296, 601, 1206, 2489, 2866, 2542, 4305, 1826, 476, 272, 2789, 3903, 2534, 3610, 4967, 6609, 606, 2534, 547, 6338, 2789, 31547, 1826, 2055, 543, 513, 5650, 585, 16460, 873, 2529, 330, 1571, 2919, 616, 1236, 21148, 267, 17655, 267, 2542, 538, 1469, 543, 22950, 337, 2084, 563, 301, 9528, 1014, 14086, 15278, 715, 32508, 21280, 17934, 879, 13280, 454, 303, 9426, 540, 5599, 6080, 538, 562, 12342, 2542, 8223, 5755, 5599, 8302, 2789, 3903, 12353, 5755, 5599, 4393, 2029, 3549, 5755, 5599, 17074, 9477, 2504, 543, 1942, 521, 321, 332, 5599, 543, 4070, 19580, 1071, 561, 11575, 19386, 543, 5599, 8030, 799, 568, 6976, 2362, 5599, 16491, 906, 543, 741, 3096, 563, 20091, 24366, 15021, 14086, 13038, 14893, 454, 4467, 1440, 2380, 542, 632, 3288, 11000, 5755, 5599, 2789, 3903, 267, 1660, 2378, 597, 5755, 5599, 28887, 910, 575, 629, 686, 22088, 1105, 527, 564, 1729, 8160, 639, 2378, 597, 5755, 5599, 267, 28887, 9043, 21688, 1091, 1706, 1660, 2378, 597, 5755, 5599, 267, 28887, 9043, 1660, 2378, 597, 5755, 5599, 267, 28887, 9043, 5140, 5599, 11493, 12227, 2472, 610, 2504, 1899, 1374, 267, 519, 2754, 568, 8149, 547, 2679, 519, 24349, 6216, 9553, 11493, 543, 4393, 12227, 267, 5631, 563, 14737, 1968, 14409, 19783, 13038, 14893, 7726, 454, 21296, 3903, 2243, 8302, 8160, 514, 1968, 4393, 8302, 2789, 3903, 2243, 2789, 3903, 2243, 5599, 900, 326, 710, 1359, 544, 333, 544, 333, 476, 21497, 16460, 513, 2243, 476, 277, 5650, 585, 16460, 513, 2789, 3903, 1826, 2243, 513, 547, 2824, 707, 2626, 4945, 593, 519, 7735, 811, 3877, 1205, 3902, 5599, 543, 7777, 4393, 981, 16551, 562, 576, 525, 6640, 8400, 563, 294, 1090, 3405, 1656, 18500, 24911, 16582, 29329, 454, 13695, 1090, 16582, 568, 606, 14460, 678, 11701, 11175, 543, 5755, 5599, 2146, 593, 519, 2895, 28396, 540, 521, 1998, 321, 731, 267, 6862, 3118, 20193, 729, 8547, 676, 2220, 539, 523, 538, 476, 4489, 271, 543, 4421, 547, 519, 865, 341, 2884, 9769, 538, 476, 4572, 278, 10422, 344, 1090, 16582, 6013, 693, 519, 3723, 540, 519, 536, 4068, 325, 329, 867, 523, 593, 519, 6532, 540, 838, 1080, 828, 2102, 543, 568, 3957, 585, 519, 18158, 11057, 7823, 476, 272, 547, 519, 4884, 563, 14737, 1968, 14409, 19783, 13038, 14893, 7726, 454, 14737, 1968, 4393, 8302, 2789, 3903, 2243, 8160, 514, 1968, 4393, 8302, 2789, 3903, 2243, 7777, 4393, 8302, 2789, 3903, 2243, 7777, 4393, 3684, 10265, 8302, 17453, 13409, 4393, 4401, 22714, 8302, 6149, 5985, 811, 2789, 3903, 2055, 593, 5599, 543, 7777, 2789, 3903, 2055, 593, 5599, 543, 7777, 4393, 713, 568, 606, 2653, 4557, 2243, 563, 296, 601, 1206, 7335, 594, 601, 1206, 715, 514, 10937, 454, 296, 601, 1206, 2542, 2259, 2055, 268, 2789, 3903, 2055, 1923, 4358, 707, 1378, 3872, 1565, 8998, 269, 2080, 568, 513, 8574, 585, 8026, 476, 1408, 1206, 2542, 1983, 2529, 9876, 519, 2055, 543, 1265, 519, 4640, 585, 563, 290, 10984, 545, 10610, 3400, 5407, 11831, 7085, 645, 321, 1372, 545, 565, 2993, 454, 290, 10984, 545, 1560, 1178, 5407, 8860, 1984, 5721, 642, 539, 22863, 5861, 10984, 545, 1560, 1178, 5407, 8860, 1984, 554, 9222, 1236, 30639, 1688, 6995, 32291, 1984, 2689, 711, 1279, 1310, 1775, 8815, 547, 2328, 519, 2689, 1775, 4607, 513, 1612, 4897, 693, 1250, 7450, 21163, 689, 513, 2864, 10694, 6765, 812, 945, 1185, 803, 1129, 585, 835, 554, 9222, 1236, 30639, 1688, 25342, 32291, 1984, 865, 1775, 1705, 543, 602, 338, 950, 1775, 3893, 547, 1491, 513, 6251, 1413, 693, 713, 2370, 8261, 563, 10890, 18171, 1841, 2986, 7108, 14086, 769, 2037, 30253, 454, 10890, 10898, 540, 4154, 5599, 538, 679, 30253, 269, 1805, 821, 8302, 13324, 543, 6287, 539, 676, 533, 1729, 10822, 336, 5599, 15118, 476, 4905, 476, 1001, 274, 6149, 8302, 13324, 543, 6287, 539, 676, 8778, 528, 535, 2801, 721, 320, 28887, 582, 847, 528, 4224, 19854, 2848, 1597, 1138, 338, 795, 337, 536, 32569, 530, 2431, 546, 777, 520, 16988, 554, 1173, 320, 1018, 568, 519, 2597, 540, 3328, 4224, 8302, 8302, 8302, 3684, 585, 9042, 530, 2431, 4224, 8302, 3937, 10950, 563, 9288, 520, 25416, 7557, 514, 655, 738, 604, 23341, 454, 2414, 1030, 331, 2542, 8223, 827, 5599, 269, 2414, 1030, 331, 2542, 8223, 827, 5599, 269, 2414, 1030, 331, 2542, 8223, 827, 5599, 7553, 267, 547, 1030, 331, 621, 335, 3296, 476, 274, 2542, 8223, 552, 1206, 713, 3296, 568, 2966, 547, 2268, 519, 2702, 547, 1224, 543, 1174, 2110, 15102, 2147, 538, 1888, 543, 2511, 8160, 1456, 8223, 4976, 538, 829, 628, 563, 300, 527, 1090, 9298, 7414, 6341, 644, 5028, 7354, 752, 514, 15021, 17719, 5741, 454, 20091, 8223, 5755, 5599, 2789, 3903, 19403, 532, 8223, 5755, 5599, 2789, 3903, 2073, 2542, 8223, 5755, 5599, 2789, 3903, 267, 2073, 28887, 5378, 1090, 9298, 533, 6680, 7663, 644, 5028, 6845, 752, 514, 5755, 9553, 1788, 11482, 633, 10004, 7117, 584, 534, 29907, 5055, 9553, 910, 737, 810, 324, 3073, 563, 300, 710, 9605, 8033, 1132, 1677, 22210, 2991, 476, 5379, 13012, 8866, 5240, 454, 8702, 547, 3844, 807, 267, 513, 1507, 4884, 4092, 538, 7532, 268, 3844, 4050, 11796, 12171, 677, 344, 29350, 1296, 3516, 267, 713, 1031, 547, 581, 513, 14297, 5755, 2173, 1456, 4884, 609, 936, 476, 273, 267, 4335, 7264, 269, 9213, 267, 3844, 807, 568, 711, 1256, 7396, 538, 1034, 7851, 543, 922, 2551, 814, 546, 13388, 1194, 1524, 547, 4557, 267, 7064, 547, 513, 3595, 602, 3112, 581, 24773, 1639, 563, 10870, 531, 14086, 15051, 10046, 15873, 8834, 327, 592, 2917, 454, 10870, 531, 5599, 2095, 6516, 910, 536, 321, 18586, 16766, 5861, 334, 531, 5599, 4238, 2095, 5750, 269, 5611, 1220, 339, 874, 25865, 1076, 11493, 2030, 642, 28126, 568, 606, 1271, 5599, 13143, 2197, 538, 607, 807, 267, 2523, 519, 13143, 566, 540, 14680, 267, 4401, 7626, 267, 5755, 267, 25342, 543, 540, 5755, 5599, 1184, 2095, 5750, 563, 5226, 714, 8018, 18567, 2986, 26187, 559, 17540, 1564, 454, 763, 2789, 31547, 2055, 786, 1449, 596, 593, 19403, 532, 8223, 910, 2327, 602, 596, 2721, 519, 1034, 1271, 1344, 689, 519, 1644, 3992, 593, 4162, 540, 269, 0, 16215, 26162, 13216, 17773, 11872, 15580, 4569, 7089, 23281, 454, 16215, 26162, 13216, 17773, 11872, 15580, 4569, 7089, 23281, 563, 2690, 1383, 267, 1711, 513, 1650, 2796, 585, 267, 543, 946, 513, 3308, 6824, 2203, 547, 1397, 519, 23479, 269, 946, 519, 2078, 1063, 8691, 543, 6498, 547, 2491, 602, 1317, 269, 13216, 8454, 4266, 1974, 14458, 1142, 4082, 269, 3738, 3738, 524, 678, 512, 4944, 562, 341, 4240, 323, 331, 563, 17273, 7688, 2055, 2966, 2708, 1053, 1377, 17117, 12753, 1770, 3928, 2557, 3450, 2979, 476, 278, 628, 3446, 269, 13216, 6824, 3989, 19362, 14009, 8454, 2979, 269, 13216, 8454, 19297, 3845, 1565, 6898, 6281, 2979, 269, 5564, 28745, 8454, 4976, 3211, 269, 5149, 2557, 1950, 8454, 4305, 6486, 12805, 3014, 269, 476, 278, 628, 3446, 1455, 4295, 2689, 1647, 1153, 2979, 3211, 269, 13216, 8454, 1770, 3928, 3992, 22753, 3059, 1820, 2979, 269, 0, 4407, 596, 616, 1603, 519, 4367, 540, 707, 269, 6338, 707, 1292, 269, 519, 4367, 568, 711, 519, 3296, 540, 519, 1557, 538, 799, 596, 8806, 6338, 519, 1888, 267, 621, 849, 6799, 513, 9735, 4316, 547, 1205, 519, 5467, 1655, 1382, 1957, 3584, 554, 10541, 593, 707, 1491, 593, 519, 2140, 256, 11004, 568, 1100, 4542, 2010, 540, 1603, 538, 7005, 585, 513, 3811, 1557, 267, 543, 519, 1655, 3283, 786, 2141, 581, 538, 707, 2511, 267, 609, 707, 1166, 1515, 543, 707, 1378, 10761, 1107, 2705, 1775, 9364, 899, 547, 2671, 1870, 6989, 4566, 930, 4388, 689, 1250, 1995, 593, 875, 269, 1312, 875, 547, 2328, 513, 4367, 585, 513, 1557, 1058, 581, 1100, 811, 5098, 3948, 12819, 1557, 982, 513, 1906, 5220, 269, 713, 4214, 1568, 607, 606, 4367, 547, 519, 5098, 269, 519, 4367, 5037, 12799, 32141, 513, 1966, 543, 9382, 922, 875, 547, 2328, 513, 4367, 585, 513, 1557, 3123, 543, 4539, 269, 1577, 781, 1205, 269, 519, 1101, 1899, 568, 707, 4960, 547, 875, 547, 2328, 513, 4367, 585, 513, 1557, 10544, 519, 5467, 543, 1491, 269, 2034, 267, 621, 3947, 707, 5467, 513, 269, 1247, 9236, 1919, 267, 519, 1034, 2500, 1259, 568, 1184, 1557, 1806, 1863, 547, 1118, 513, 1592, 540, 3604, 543, 10486 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 7705, 281, 19850, 7585, 256, 5620, 596, 2479, 4862, 540, 2672, 325, 1143, 286, 898, 781, 513, 1826, 540, 7793, 6291, 1369, 5771, 602, 6212, 593, 5289, 1646, 998, 2648, 267, 31658, 267, 543, 1582, 16162, 23002, 780, 7692, 281, 670, 7825, 267, 594, 1589, 594, 723, 269, 1809, 1018, 1281, 602, 1611, 4010, 286, 1215, 798, 789, 2259, 2648, 543, 31658, 2496, 8334, 281, 4270, 267, 1577, 803, 2285, 596, 606, 1383, 269, 5994, 952, 2576, 18417, 536, 22981, 883, 596, 1247, 6972, 1524, 519, 10689, 3118, 693, 1153, 269, 4107, 1004, 1131, 4440, 1745, 20714, 539, 267, 1318, 286, 1809, 513, 2672, 25206, 1522, 1294, 602, 4090, 607, 606, 4316, 547, 1397, 8296, 543, 19807, 1107, 7907, 602, 666, 948, 721, 1332, 32375, 780, 7692, 281, 7937, 267, 594, 1205, 621, 269, 1924, 3079, 540, 3478, 14220, 267, 789, 2119, 547, 581, 2186, 543, 1174, 602, 3025, 2306, 9073, 3006, 269, 2334, 4992, 899, 1434, 5796, 2439, 8334, 281, 22549, 256, 1656, 1934, 781, 1776, 3364, 281, 8026, 1582, 16162, 23002, 1797, 9013, 938, 4555, 267, 4664, 267, 543, 3527, 865, 602, 649, 666, 3251, 5059, 593, 1373, 15962, 543, 17519, 2509, 1866, 780, 7692, 281, 2052, 596, 2285, 803, 513, 1483, 3734, 9183, 1141, 594, 1223, 946, 713, 2856, 2496, 8334, 281, 17610, 256, 2913, 781, 2161, 596, 2731, 1616, 547, 4444, 519, 5767, 3381, 3014, 267, 855, 707, 3237, 2995, 596, 602, 596, 991, 547, 4688, 2724, 585, 1945, 811, 1271, 269, 5502, 540, 19163, 609, 873, 610, 31205, 9140, 519, 3014, 19037, 267, 596, 6430, 547, 2463, 741, 3375, 543, 960, 2182, 547, 7118, 2614, 2724, 585, 1312, 519, 2556, 6221, 543, 519, 3014, 269, 1635, 3257, 713, 267, 596, 2811, 6029, 1582, 16162, 23002, 543, 15657, 780, 7692, 281, 26272, 267, 602, 2965, 2306, 513, 2603, 540, 2631, 269, 4634, 1498, 594, 4769, 1405, 1205, 519, 3014, 1318, 2476, 267, 594, 4121, 9639, 543, 5539, 269, 8729, 267, 7705, 256, 1684, 596, 1589, 972, 616, 824, 2081, 547, 1020, 1250, 2247, 267, 1560, 267, 543, 6891, 2496, 8334, 281, 25999, 256, 1703, 616, 9118, 2853, 856, 972, 267, 899, 9066, 267, 10649, 267, 2542, 267, 1603, 267, 543, 1256, 7836, 942, 538, 2470, 269, 1411, 1175, 991, 547, 1265, 1018, 1568, 1655, 585, 596, 543, 6529, 609, 621, 269, 5457, 267, 3384, 6000, 3217, 942, 267, 4674, 267, 543, 6266, 540, 2259, 780, 7692, 281, 23010, 267, 594, 7058, 4986, 2501, 2653, 269, 1809, 594, 6415, 9599, 547, 1376, 3695, 1007, 2081, 547, 1451, 543, 1332, 2439, 8334, 281, 2725, 1932, 267, 7585, 256, 8625, 267, 649, 666, 1831, 5923, 518, 267, 6793, 267, 543, 811, 17519, 2043, 269, 0, 2080, 568, 606, 1349, 689, 513, 2546, 912, 257, 9743, 16226, 513, 1224, 16217, 19241, 27528, 814, 547, 1210, 513, 476, 274, 291, 1439, 689, 513, 1082, 2040, 547, 519, 4604, 3336, 269, 589, 15568, 1604, 568, 519, 835, 799, 554, 1938, 2901, 4901, 642, 5866, 263, 4457, 2203, 264, 610, 1448, 3877, 263, 3443, 322, 1136, 9936, 1436, 264, 538, 930, 1062, 269, 769, 713, 3919, 267, 649, 616, 593, 11173, 1767, 2798, 799, 616, 10319, 547, 513, 10724, 610, 513, 3609, 267, 543, 593, 9138, 3791, 3655, 684, 553, 5196, 513, 10316, 2062, 5320, 269, 4014, 519, 6852, 2669, 3297, 519, 6263, 18453, 10841, 754, 839, 4080, 519, 1299, 547, 4152, 1753, 267, 621, 8255, 711, 849, 1044, 585, 993, 23035, 811, 2582, 3597, 2516, 263, 1114, 607, 10368, 267, 1357, 267, 9936, 610, 15349, 4647, 16103, 1070, 3655, 26915, 14686, 3688, 267, 1519, 5769, 1433, 7410, 267, 8989, 21957, 3457, 267, 20414, 5777, 543, 1394, 269, 1224, 547, 713, 2272, 2882, 1305, 13752, 1317, 649, 917, 596, 616, 21338, 4720, 2477, 547, 4413, 519, 679, 25252, 924, 269, 7490, 29553, 6131, 602, 1489, 543, 10832, 1118, 3812, 593, 707, 10554, 543, 602, 596, 13822, 827, 3168, 873, 689, 3441, 269, 14360, 676, 32309, 311, 267, 5549, 269, 901, 2070, 554, 3010, 2237, 513, 2143, 17187, 5188, 1644, 547, 519, 1349, 1657, 267, 2519, 593, 834, 306, 18860, 1143, 257, 607, 851, 540, 834, 289, 7495, 312, 267, 631, 18853, 1299, 9501, 7644, 3951, 1315, 3733, 560, 6291, 2580, 6098, 693, 1453, 547, 4001, 873, 1455, 2631, 269, 634, 5188, 1058, 4125, 1079, 3197, 267, 7705, 543, 7585, 267, 7234, 4948, 3871, 543, 1818, 3664, 1759, 593, 1455, 2631, 269, 2422, 2241, 2474, 543, 513, 2067, 267, 2502, 3159, 269, 24372, 2521, 547, 281, 8528, 268, 19308, 2055, 543, 4267, 602, 12172, 519, 1888, 543, 1683, 4052, 1806, 543, 3137, 540, 1946, 1919, 4755, 267, 2014, 7146, 13716, 3347, 267, 543, 875, 1004, 3335, 2170, 538, 891, 3871, 269, 3097, 268, 20864, 7653, 602, 2154, 1620, 15749, 8100, 543, 13865, 10881, 547, 8207, 13509, 269, 3097, 2710, 711, 2446, 519, 1357, 1349, 543, 11716, 3877, 13061, 547, 519, 1888, 269, 0, 3848, 476, 1691, 281, 654, 5893, 19369, 910, 16871, 24956, 545, 11576, 7081, 538, 13751, 4530, 574, 3415, 692, 7072, 692, 763, 1148, 540, 7198, 7041, 6013, 693, 519, 10167, 540, 2792, 267, 6530, 267, 543, 1876, 269, 769, 713, 3184, 267, 649, 786, 5490, 883, 519, 14960, 540, 8600, 22168, 585, 4693, 1247, 10771, 519, 2956, 540, 8508, 8076, 2283, 7081, 538, 3656, 21981, 269, 634, 4367, 540, 713, 23349, 1935, 949, 6318, 2055, 827, 922, 10083, 282, 2705, 267, 5373, 4296, 1063, 9583, 19635, 11890, 1419, 5012, 547, 5499, 2994, 543, 7096, 4030, 269, 1635, 3695, 875, 19713, 835, 781, 2283, 783, 1648, 666, 3986, 7198, 17258, 543, 1764, 267, 596, 786, 2744, 3407, 2645, 585, 2500, 6041, 538, 5480, 780, 4089, 476, 272, 281, 4197, 11576, 7081, 543, 11557, 7081, 692, 2414, 2253, 938, 3460, 267, 621, 568, 2629, 547, 3715, 2312, 8847, 540, 2283, 7081, 543, 14920, 1369, 519, 2796, 540, 7198, 7041, 269, 2755, 891, 2474, 616, 3006, 1031, 30430, 267, 789, 4163, 3982, 25664, 725, 269, 4340, 547, 16026, 630, 1001, 279, 1070, 14920, 4016, 547, 519, 4082, 540, 835, 781, 4008, 3961, 267, 10066, 267, 543, 7287, 998, 15982, 3347, 543, 5615, 269, 2201, 519, 824, 1688, 267, 2283, 7081, 18575, 15398, 4656, 543, 7071, 585, 5418, 553, 9092, 2833, 6508, 689, 1585, 12823, 1765, 339, 13224, 267, 6492, 267, 9329, 267, 8289, 267, 543, 3280, 780, 28274, 713, 5943, 547, 7198, 7041, 3322, 13057, 2043, 4724, 17034, 741, 6418, 2200, 540, 6015, 267, 1582, 18221, 267, 543, 3929, 4987, 269, 1452, 7907, 3565, 547, 8903, 16499, 23888, 16135, 538, 19969, 543, 13438, 267, 7551, 5807, 3972, 1851, 29632, 832, 780, 4089, 476, 273, 281, 13891, 6064, 532, 3733, 2195, 28259, 532, 11576, 7081, 543, 13751, 4530, 574, 3415, 692, 6524, 23312, 2417, 267, 1577, 721, 2232, 930, 1455, 20887, 4478, 2283, 7081, 543, 922, 1909, 538, 3656, 21981, 1384, 300, 2814, 1948, 272, 281, 5890, 7675, 2283, 7081, 1226, 919, 547, 16789, 2932, 610, 2623, 563, 3725, 1275, 281, 1879, 8756, 539, 14013, 267, 2283, 783, 1648, 10597, 1093, 1047, 267, 4527, 267, 543, 30373, 1765, 718, 1898, 3334, 540, 2500, 2792, 538, 513, 5480, 3336, 4259, 780, 300, 2814, 1948, 273, 281, 11576, 7081, 814, 1100, 1747, 538, 3318, 5054, 971, 607, 10470, 563, 3725, 1275, 281, 7073, 3656, 18659, 5431, 519, 1871, 540, 9423, 267, 6568, 267, 543, 8887, 1464, 7258, 2757, 17720, 2553, 269, 4498, 1145, 532, 835, 781, 2283, 7081, 6087, 22168, 547, 1921, 811, 7184, 609, 741, 6386, 267, 2810, 519, 10171, 540, 15028, 4093, 780, 300, 2814, 1948, 274, 281, 18964, 2283, 7081, 7512, 27105, 610, 29959, 21981, 563, 3725, 1275, 281, 674, 29183, 9758, 2283, 783, 4276, 8992, 26126, 543, 1582, 26190, 267, 6038, 3056, 547, 1854, 518, 6589, 602, 13469, 609, 19700, 780, 4089, 476, 274, 281, 9828, 585, 4980, 22899, 11576, 783, 17607, 538, 654, 5893, 19369, 692, 3086, 602, 649, 723, 3181, 6064, 539, 11342, 14868, 3823, 2283, 7081, 543, 3656, 21981, 267, 1577, 721, 4983, 4052, 2409, 585, 14237, 2283, 783, 4656, 1282, 7198, 7041, 7886, 1384, 272, 269, 24238, 9066, 281, 6651, 22168, 998, 11009, 5751, 2966, 547, 2333, 1560, 9637, 543, 1140, 2317, 618, 547, 741, 10450, 269, 6270, 2853, 5512, 2043, 547, 7148, 883, 741, 17916, 2283, 783, 19367, 267, 5009, 9350, 1145, 543, 9355, 896, 2604, 780, 273, 269, 22165, 327, 1740, 281, 17546, 2620, 267, 26202, 15122, 7244, 2553, 602, 7520, 11005, 543, 10704, 1145, 269, 7743, 7362, 1852, 5688, 3278, 13047, 6765, 267, 7700, 547, 24808, 543, 2502, 5711, 14245, 780, 274, 269, 19257, 337, 1681, 543, 13147, 10107, 281, 11559, 22168, 547, 2259, 8272, 337, 1681, 2168, 17267, 543, 11913, 3270, 540, 3811, 3868, 2209, 269, 9866, 6326, 875, 1866, 608, 8775, 8746, 2283, 7081, 2488, 15889, 3631, 585, 6454, 780, 275, 269, 10020, 2452, 7653, 281, 18918, 22168, 538, 20533, 5480, 3336, 4205, 267, 3850, 873, 547, 4603, 609, 1114, 12331, 540, 22192, 2792, 269, 594, 614, 894, 5955, 5849, 6024, 2208, 543, 1646, 780, 276, 269, 9608, 1242, 14751, 725, 281, 25085, 22168, 676, 13167, 25191, 14751, 725, 602, 8661, 741, 2189, 9342, 543, 7207, 269, 8617, 17279, 1128, 1571, 1582, 12431, 4269, 543, 6043, 780, 6962, 692, 21615, 571, 1424, 8076, 2283, 7081, 3091, 513, 3209, 2943, 14984, 1935, 547, 7198, 7041, 267, 30015, 2043, 609, 519, 1983, 2556, 547, 5838, 9159, 16499, 23888, 12082, 538, 5168, 543, 13438, 269, 1306, 2413, 3656, 4648, 6330, 606, 5051, 1950, 5251, 267, 6220, 4244, 5380, 3587, 4105, 547, 1967, 269, 1635, 14637, 2283, 783, 4656, 267, 9439, 6536, 3972, 267, 6278, 267, 543, 3310, 1765, 322, 15560, 2609, 538, 5935, 21139, 11994, 543, 6117, 5551, 2013, 4093, 269, 0, 2080, 568, 606, 1349, 689, 513, 2546, 912, 24281, 2221, 779, 3728, 19550, 2486, 267, 1082, 2021, 616, 4743, 30890, 689, 741, 2283, 7081, 543, 14920, 269, 2060, 11112, 16131, 267, 6848, 6788, 267, 543, 2123, 538, 572, 15247, 267, 621, 666, 581, 4101, 547, 4628, 9784, 543, 2263, 835, 779, 2283, 7081, 269, 1717, 267, 972, 568, 513, 3532, 3070, 602, 666, 948, 2021, 556, 6618, 609, 741, 2283, 7081, 543, 1995, 12257, 538, 513, 1007, 543, 16779, 1259, 1107, 17849, 513, 4775, 26603, 677, 538, 9628, 563, 1103, 2101, 4872, 899, 9628, 267, 4775, 26603, 2176, 2709, 513, 15739, 564, 543, 29413, 3028, 602, 6212, 593, 16180, 519, 13821, 543, 2115, 540, 741, 7218, 269, 1809, 3564, 1175, 2168, 12257, 267, 17849, 513, 4775, 26603, 677, 666, 849, 581, 513, 13710, 1995, 585, 2021, 269, 898, 2636, 873, 547, 1577, 979, 540, 7409, 1431, 267, 9784, 741, 13821, 267, 543, 11884, 2263, 741, 2283, 7081, 1510, 1022, 10385, 610, 6788, 269, 901, 2376, 786, 4685, 4514, 883, 519, 1523, 540, 21704, 532, 547, 835, 779, 2283, 7081, 609, 513, 4775, 26603, 677, 267, 18167, 883, 519, 2640, 267, 20887, 267, 543, 3106, 3344, 540, 9001, 3010, 2237, 606, 3573, 543, 2143, 1576, 1770, 538, 513, 1837, 585, 2852, 1053, 1644, 547, 519, 1349, 1657, 267, 2519, 593, 834, 310, 5893, 19369, 257, 607, 851, 540, 834, 30311, 1315, 19750, 20929, 2668, 1684, 711, 1175, 1592, 2035, 267, 855, 1020, 1142, 835, 538, 1469, 1354, 3001, 547, 519, 1985, 267, 607, 649, 4225, 3178, 540, 1620, 543, 3102, 3408, 540, 519, 1641, 2339, 936, 4560, 780, 2521, 547, 1384, 268, 3550, 538, 3829, 3795, 540, 519, 2035, 563, 268, 2422, 513, 2239, 267, 2219, 4538, 2511, 563, 268, 4045, 519, 1888, 609, 1699, 3466, 267, 1483, 3734, 1806, 267, 610, 2487, 2090, 563, 2710, 711, 1331, 513, 2140, 267, 2606, 2453, 267, 610, 2592, 269, 3503, 519, 1543, 2047, 269, 0, 6092, 5149, 281, 7073, 2817, 1143, 543, 3557, 19725, 538, 519, 5664, 5101, 692, 1103, 713, 1770, 267, 649, 786, 2263, 875, 2477, 538, 519, 5664, 5101, 941, 4646, 543, 1946, 930, 1004, 972, 1745, 9244, 4448, 547, 891, 1007, 6082, 269, 901, 1523, 568, 1572, 18541, 269, 5620, 596, 2479, 4862, 707, 1920, 2911, 827, 1141, 789, 2097, 689, 286, 9320, 789, 616, 8385, 689, 1776, 2197, 256, 4270, 267, 1175, 899, 707, 1920, 1522, 2697, 609, 741, 1753, 2197, 267, 1082, 1004, 1472, 519, 1158, 1745, 513, 2178, 4276, 547, 741, 1378, 4182, 269, 2913, 781, 4685, 883, 1620, 2413, 18541, 543, 1533, 5250, 538, 519, 5664, 5101, 2439, 1432, 568, 18541, 888, 2411, 21387, 13233, 1143, 568, 950, 1004, 2671, 513, 1455, 3961, 1759, 593, 1919, 899 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 972, 538, 476, 5908, 271, 269, 634, 1858, 729, 1641, 547, 13350, 14700, 689, 519, 918, 1716, 5211, 267, 799, 13026, 1018, 568, 1631, 519, 25708, 1858, 267, 4810, 17061, 540, 13663, 563, 1103, 476, 5908, 273, 267, 29070, 17160, 25626, 2476, 519, 3312, 11175, 8547, 538, 476, 5908, 271, 676, 519, 4436, 23899, 4168, 645, 2129, 3534, 269, 7324, 1346, 13631, 547, 519, 1858, 676, 519, 4993, 4154, 19060, 729, 7338, 22823, 267, 513, 15818, 543, 5449, 3935, 601, 538, 519, 17740, 807, 540, 11882, 267, 1010, 1753, 1533, 269, 22823, 6410, 547, 519, 8492, 540, 519, 918, 1716, 5211, 538, 476, 5908, 274, 267, 693, 1018, 2968, 1634, 607, 22823, 781, 12197, 267, 799, 2968, 513, 3247, 1478, 585, 17631, 269, 1635, 476, 6942, 271, 267, 609, 513, 2551, 540, 476, 7785, 267, 1018, 568, 1631, 1634, 607, 645, 5474, 7615, 729, 4742, 519, 9030, 4884, 538, 918, 1716, 6019, 269, 769, 476, 6942, 274, 267, 645, 5474, 7615, 729, 11368, 607, 513, 2749, 267, 676, 476, 6942, 275, 267, 621, 8719, 519, 12955, 4884, 540, 32147, 559, 1695, 607, 519, 10315, 10160, 269, 12138, 24759, 729, 21534, 607, 519, 2749, 22153, 531, 267, 513, 812, 835, 14787, 1131, 4766, 607, 834, 1862, 606, 2025, 812, 676, 519, 942, 646, 2968, 15794, 531, 540, 645, 5474, 7615, 267, 646, 15336, 609, 513, 29647, 269, 1809, 646, 729, 513, 13573, 3089, 1014, 267, 513, 13561, 812, 609, 513, 7784, 267, 711, 15877, 538, 11036, 543, 4199, 950, 519, 7099, 6410, 1864, 1701, 6355, 5443, 543, 1866, 3459, 547, 26416, 24759, 267, 18085, 1678, 2730, 543, 1164, 26370, 538, 1010, 2126, 540, 873, 563, 310, 13589, 547, 3595, 1864, 855, 4250, 532, 1065, 5142, 1023, 267, 789, 3357, 909, 609, 513, 10325, 547, 771, 4532, 2734, 622, 6028, 1864, 1510, 606, 16108, 269, 4340, 547, 2199, 14787, 31408, 717, 807, 519, 2749, 729, 17528, 547, 2445, 519, 9204, 621, 2877, 585, 2533, 269, 769, 476, 6942, 277, 267, 519, 2749, 20366, 547, 771, 4532, 2734, 622, 269, 1280, 519, 1985, 476, 2420, 1296, 267, 513, 12504, 781, 14643, 7307, 519, 2146, 269, 1635, 476, 6642, 271, 267, 519, 4884, 1185, 513, 2551, 540, 476, 3199, 272, 267, 676, 476, 6245, 271, 267, 621, 1185, 513, 2551, 540, 476, 273, 267, 277, 2918, 269, 24779, 689, 7147, 267, 17039, 543, 8828, 4993, 4547, 1007, 7264, 267, 945, 941, 6964, 676, 519, 3282, 2872, 282, 519, 2749, 556, 4532, 2734, 730, 593, 5130, 476, 1556, 267, 476, 6245, 279, 269, 2201, 5147, 476, 2641, 267, 476, 4198, 273, 267, 606, 13091, 13351, 693, 476, 275, 281, 7367, 993, 7414, 4303, 2775, 5384, 282, 519, 13091, 267, 799, 6027, 476, 278, 269, 276, 593, 519, 4090, 9588, 4336, 543, 729, 5433, 689, 5842, 12770, 547, 519, 11204, 8473, 267, 10032, 519, 7404, 2950, 540, 1855, 327, 778, 777, 328, 543, 1488, 9109, 269, 634, 13091, 781, 16160, 3196, 18761, 10412, 4610, 883, 772, 5546, 267, 1793, 573, 513, 13105, 540, 519, 1855, 327, 778, 777, 328, 15142, 2066, 782, 2185, 28961, 540, 519, 23374, 27953, 267, 25540, 513, 1216, 13486, 2870, 513, 8755, 6360, 267, 10032, 519, 16456, 25310, 538, 519, 7823, 5832, 563, 289, 5474, 7615, 729, 838, 1563, 269, 589, 1804, 1310, 3333, 1442, 7018, 593, 5147, 476, 3066, 267, 1705, 5634, 11265, 3441, 267, 855, 6659, 12194, 602, 519, 2095, 540, 519, 29443, 656, 11860, 1716, 22575, 1223, 581, 5906, 569, 12012, 14700, 519, 2749, 543, 4478, 2127, 269, 2991, 3333, 4169, 267, 585, 519, 1985, 3923, 267, 1185, 1831, 3339, 547, 645, 5474, 7615, 7264, 2394, 267, 593, 4864, 476, 2420, 693, 476, 274, 281, 5655, 10681, 267, 513, 476, 276, 269, 279, 13091, 13351, 2047, 896, 519, 4884, 781, 4099, 538, 519, 1034, 29822, 20651, 1858, 540, 519, 7013, 5842, 808, 10394, 23936, 9503, 269, 9050, 1004, 5747, 538, 519, 1310, 3333, 1442, 267, 930, 540, 519, 4884, 781, 8978, 3889, 13455, 5230, 3441, 269, 9737, 476, 3192, 271, 543, 476, 1001, 271, 267, 645, 5474, 7615, 8057, 476, 6110, 9077, 1818, 621, 835, 540, 519, 16595, 21212, 4872, 538, 4993, 269, 645, 5474, 7615, 781, 2673, 16133, 547, 7823, 10596, 519, 1855, 329, 517, 10426, 593, 3955, 8063, 476, 276, 1063, 519, 11968, 13353, 1558, 24227, 543, 519, 3844, 5842, 808, 10394, 23936, 9503, 267, 814, 1500, 519, 2749, 513, 6237, 6283, 13398, 269, 769, 476, 1960, 271, 267, 645, 5474, 7615, 729, 835, 540, 476, 1015, 772, 269, 590, 269, 2950, 547, 4309, 519, 2353, 29958, 320, 4975, 13815, 689, 519, 2817, 595, 15960, 13477, 269, 769, 476, 1001, 271, 267, 519, 645, 5474, 7615, 631, 6347, 1185, 513, 14407, 23195, 1587, 540, 1269, 3066, 269, 5379, 277, 5479, 267, 1818, 621, 519, 476, 10463, 6113, 28376, 23195, 4346, 538, 519, 2136, 2276, 563, 289, 5474, 7615, 6013, 2282, 519, 7013, 834, 4243, 525, 21539, 257, 1439, 540, 519, 5842, 808, 10394, 23936, 9503, 267, 609, 519, 7013, 9133, 540, 519, 23683, 21600, 1175, 547, 519, 7532, 269, 634, 2749, 7182, 8831, 547, 519, 14938, 334, 807, 2817, 11206, 267, 693, 519, 3723, 540, 519, 5682, 1817, 333, 13738, 16186, 543, 693, 519, 679, 454, 763, 4993, 11344, 29607, 267, 610, 519, 11344, 29607, 267, 568, 513, 2249, 540, 29607, 5065, 547, 4993, 269, 634, 11344, 29607, 568, 5065, 547, 13642, 24410, 339, 15880, 267, 26439, 334, 15880, 267, 519, 3162, 674, 1251, 918, 1716, 5211, 267, 621, 568, 519, 1533, 3165, 540, 4993, 269, 634, 4993, 11344, 29607, 568, 1644, 547, 1079, 22774, 29607, 28849, 282, 519, 9741, 918, 1716, 11344, 29607, 267, 1336, 538, 519, 9741, 918, 1716, 5211, 16935, 267, 519, 918, 1716, 5211, 22774, 29607, 267, 1336, 538, 519, 918, 1716, 5211, 1062, 269, 8625, 267, 891, 1614, 29607, 1106, 1018, 568, 3006, 5219, 547, 607, 519, 834, 326, 1245, 523, 29607, 1950, 21968, 519, 11344, 29607, 729, 4330, 607, 513, 28849, 540, 519, 13687, 2249, 267, 609, 513, 2012, 6428, 15879, 1250, 330, 1170, 989, 7699, 1532, 517, 7534, 267, 621, 568, 1869, 2808, 513, 28849, 2059, 609, 1896, 824, 22774, 29607, 28849, 1634, 607, 2699, 7171, 29607, 269, 12551, 26015, 543, 519, 18280, 690, 540, 674, 8460, 2705, 1631, 1592, 744, 269, 989, 340, 629, 517, 7534, 607, 606, 4830, 2249, 2864, 982, 607, 28849, 540, 744, 269, 1250, 330, 1170, 269, 2755, 594, 2316, 306, 8638, 744, 269, 544, 269, 3043, 328, 543, 744, 269, 544, 269, 575, 559, 6975, 328, 607, 28849, 540, 744, 269, 1250, 330, 1170, 267, 744, 269, 989, 340, 629, 517, 7534, 3079, 568, 7396, 607, 513, 2407, 2249, 269, 634, 11344, 29607, 814, 11344, 1166, 3471, 609, 2699, 267, 8880, 13164, 2059, 519, 14694, 3515, 593, 1142, 2427, 543, 827, 476, 1015, 4158, 267, 24814, 7436, 593, 1142, 2427, 563, 291, 832, 531, 543, 1387, 27634, 723, 3043, 3056, 8728, 269, 769, 741, 5065, 7226, 267, 4079, 2039, 689, 476, 277, 547, 476, 1321, 6279, 1279, 269, 12551, 936, 476, 1321, 6279, 616, 2808, 1804, 269, 13642, 29607, 602, 723, 1044, 1098, 680, 5896, 547, 12647, 723, 1044, 6592, 909, 547, 476, 1556, 6550, 282, 519, 11344, 29607, 1058, 581, 13747, 689, 519, 3957, 11344, 22774, 29607, 1634, 607, 519, 5493, 558, 3626, 29607, 269, 634, 11344, 22774, 568, 513, 2681, 14583, 540, 519, 22774, 29607, 282, 519, 11344, 29607, 568, 1336, 693, 6173, 725, 689, 476, 277, 267, 279, 3445, 3952, 547, 476, 1015, 267, 1822, 3952, 1657, 4262, 1377, 267, 568, 5065, 1152, 547, 4993, 781, 7013, 23683, 21600, 10239, 269, 31072, 540, 922, 5065, 2039, 538, 4993, 267, 13642, 29607, 616, 811, 1336, 538, 4963, 13196, 543, 524, 872, 802, 538, 19069, 2127, 1472, 476, 1015, 267, 4335, 1700, 1321, 267, 1822, 257, 266, 3564, 476, 1321, 267, 4335, 257, 266, 10596, 602, 616, 711, 1780, 762, 1510, 16081, 335, 976, 267, 4672, 17887, 267, 887, 6647, 2394, 1310, 519, 19549, 540, 5147, 267, 741, 9053, 1216, 2837, 568, 476, 6812, 547, 476, 7830, 11019, 293, 855, 789, 666, 20496, 5210, 538, 28811, 12535, 593, 519, 918, 1716, 17934, 879, 607, 1164, 607, 476, 3583, 11019, 293, 865, 1279, 607, 1346, 7297, 3579, 1282, 519, 3781, 269, 634, 1152, 824, 2249, 540, 3165, 6805, 547, 519, 5065, 2039, 540, 4993, 11344, 29607, 568, 519, 15762, 26963, 334, 647, 14982, 563, 763, 29131, 10794, 1299, 12551, 4972, 1533, 2594, 11344, 29607, 6027, 476, 2764, 538, 543, 26693, 476, 1556, 269, 1839, 18470, 267, 9575, 538, 13648, 8235, 267, 29131, 538, 476, 3707, 279, 269, 634, 30312, 11902, 834, 5472, 6874, 871, 548, 20099, 16680, 257, 585, 744, 269, 544, 269, 989, 340, 629, 517, 7534, 6027, 476, 2641, 538, 9575, 538, 13642, 8235, 267, 29131, 538, 476, 1001, 273, 269, 744, 269, 544, 269, 989, 340, 629, 517, 7534, 568, 5065, 547, 519, 7013, 23683, 21600, 267, 1519, 519, 5580, 3914, 543, 29815, 2456, 540, 519, 3162, 674, 1251, 540, 519, 918, 1716, 5211, 267, 13642, 24410, 339, 15880, 543, 922, 29815, 2456, 269, 898, 814, 1044, 5189, 538, 7366, 540, 12647, 543, 12535, 3544, 519, 5065, 2039, 267, 1498, 1034, 540, 891, 5095, 1705, 711, 2063, 610, 10316, 1242, 609, 2759, 628, 9130, 29607, 543, 824, 28849, 540, 22774, 29607, 269, 769, 476, 6245, 273, 519, 4993, 11344, 29607, 729, 4330, 676, 6424, 853, 1551, 16888, 267, 519, 1101, 5518, 540, 18628, 2160, 267, 607, 6428, 15879, 1250, 330, 1170, 989, 7699, 1532, 517, 7534, 282, 519, 3165, 729, 3957, 1310, 519, 3397, 7699, 12844, 7534, 4826, 6420, 1141, 519, 1101, 15013, 941, 6394, 267, 693, 519, 5023, 540, 26439, 334, 15880, 267, 693, 519, 524, 9127, 781, 1476, 26475, 609, 519, 918, 1716, 5211, 269, 589, 2540, 789, 941, 7396, 607, 2201, 14585, 1506, 333, 577, 639, 1250, 330, 1170, 989, 340, 629, 517, 7534, 538, 2142, 18255, 651, 781, 7111, 29607, 540, 7262, 3345, 3013, 563, 1103, 476, 5002, 275, 26791, 11977, 6519, 28078, 547, 1010, 3659, 5518, 31187, 17619, 267, 602, 936, 325, 5109, 1223, 1291, 547, 14486, 540, 519, 11344, 29607, 269, 769, 6519, 781, 3209, 634, 15142, 267, 646, 5206, 827, 519, 12219, 11344, 29607, 593, 4993, 779, 918, 1716, 17934, 879, 269, 17619, 3838, 6519, 779, 6161, 543, 267, 998, 772, 269, 590, 269, 12551, 30934, 6723, 631, 269, 645, 10183, 267, 771, 6312, 3481, 29489, 19258, 517, 25303, 17451, 10458, 540, 519, 772, 269, 590, 269, 13163, 540, 30656, 547, 1353, 519, 3510, 269, 769, 476, 5002, 277, 17451, 10458, 3370, 634, 13642, 24410, 339, 540, 519, 8828, 4400, 590, 1512, 6652, 269, 9122, 593, 19916, 267, 17451, 10458, 4330, 2185, 3029, 540, 713, 5065, 3165, 281, 6428, 15879, 887, 846, 15414, 328, 689, 13642, 24410, 339, 15880, 267, 6428, 15879, 989, 340, 629, 517, 7534, 689, 7404, 3162, 674, 1251, 540, 519, 918, 1716, 5211, 267, 6428, 15879, 3043, 328, 689, 519, 9741, 918, 1716, 5211, 267, 6428, 15879, 575, 559, 6975, 328, 267, 519, 918, 1716, 5211, 22774, 269, 18726, 2090, 723, 2094, 5587, 1881, 1614, 2516, 540, 29607, 5065, 547, 519, 918, 1716, 5211, 281, 4993, 11344, 29607, 5065, 547, 519, 3162, 674, 1251, 918, 1716, 5211, 543, 13642, 24410, 339, 15880, 267, 9741, 918, 1716, 5211, 11344, 29607, 267, 918, 1716, 5211, 22774, 29607, 269, 13012, 540, 21467, 343, 680, 334, 2787, 543, 6735, 609, 16678, 2249, 723, 4547, 11344, 29607, 547, 519, 1490, 1074, 540, 1373, 11280, 607, 834, 628, 805, 2989, 8487, 4504, 22004, 2156, 758, 29607, 856, 4818, 23176, 873, 585, 1426, 267, 5189, 6960, 29607, 10352, 593, 873, 543, 5189, 22774, 29607, 10316, 1125, 609, 873, 267, 14124, 519, 5065, 5444, 7535, 998, 703, 5766, 1833, 269, 7377, 2827, 723, 1044, 538, 11931, 7771, 585, 5756, 269, 769, 476, 3192, 279, 519, 13642, 24410, 339, 8187, 15227, 729, 3964, 1369, 769, 14623, 2817, 11206, 543, 14938, 334, 807, 2817, 11206, 267, 7863, 519, 5580, 7297, 515, 1091, 540, 519, 918, 1716, 5211, 543, 3162, 674, 1251, 918, 1716, 5211, 269, 769, 5181, 476, 1220, 275, 267, 519, 4993, 4972, 540, 12551, 543, 10794, 9896, 606, 6876, 609, 5313, 8041, 547, 960, 593, 19620, 1394, 28029, 787, 7226, 8697, 676, 936, 6588, 4506, 689, 12418, 543, 13265, 267, 607, 851, 540, 513, 3102, 5726, 4640, 282, 519, 2475, 29510, 15661, 2920, 11280, 519, 454, 4537, 27553, 10557, 717, 17311, 568, 606, 1977, 22267, 7674 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 29372, 267, 543, 15293, 28725, 269, 1452, 11975, 616, 13631, 547, 20097, 676, 1585, 10291, 267, 971, 607, 20416, 610, 3308, 15128, 269, 1677, 7413, 32456, 1981, 267, 4775, 16015, 723, 7960, 1896, 2994, 269, 17616, 267, 789, 2824, 21224, 6753, 5402, 267, 1419, 7446, 2127, 609, 10053, 10664, 610, 11506, 14099, 602, 1683, 930, 1377, 540, 10703, 531, 618, 689, 1761, 11975, 269, 19627, 267, 16015, 4749, 31491, 720, 741, 20097, 676, 8720, 873, 609, 5070, 610, 11935, 1310, 18413, 5798, 269, 901, 2623, 6971, 519, 10171, 540, 7020, 676, 11617, 10122, 11975, 563, 2414, 2417, 1174, 875, 1114, 2188, 3310, 9566, 1967, 3928, 538, 1585, 14854, 2249, 267, 2015, 519, 1739, 912, 268, 634, 4527, 540, 5841, 8654, 2282, 21224, 17822, 814, 1044, 1336, 547, 771, 528, 1304, 24011, 13530, 950, 789, 10836, 689, 741, 20097, 269, 901, 2164, 538, 2799, 9019, 3928, 1813, 547, 32456, 610, 25874, 1354, 8757, 519, 5836, 563, 268, 26066, 1646, 2238, 666, 7369, 11824, 9249, 998, 11761, 610, 9552, 540, 10664, 3382, 267, 3056, 547, 2799, 4598, 543, 13438, 547, 11975, 563, 268, 8693, 1689, 5222, 593, 2837, 20816, 949, 1860, 24011, 1782, 3023, 12753, 2094, 1082, 14854, 2249, 8858, 2837, 17466, 3023, 8990, 563, 268, 12833, 5297, 2249, 31047, 10460, 606, 3606, 3463, 607, 789, 7519, 5065, 8134, 543, 5732, 2333, 23246, 11606, 563, 8368, 476, 272, 281, 11790, 14118, 9760, 25725, 29321, 11773, 454, 347, 25369, 31786, 1475, 295, 2255, 1782, 771, 528, 1304, 566, 2008, 347, 10870, 770, 531, 4886, 1475, 295, 629, 18945, 27327, 2008, 347, 20458, 7827, 1475, 307, 17687, 2360, 593, 3023, 8990, 2008, 347, 1103, 15230, 15661, 1475, 19102, 1078, 23246, 11606, 2008, 8139, 519, 4205, 1063, 891, 2188, 543, 741, 1198, 593, 9566, 1967, 3928, 568, 4105, 585, 3384, 2500, 5726, 2994, 269, 1635, 10893, 32456, 1981, 998, 7226, 2359, 267, 4227, 27643, 18063, 267, 543, 7598, 3800, 547, 11574, 2916, 1689, 5222, 267, 649, 666, 3986, 14854, 10285, 1967, 563, 1103, 519, 7766, 3296, 827, 18323, 7939, 1282, 29164, 267, 649, 786, 2263, 875, 2825, 2175, 1860, 519, 1646, 540, 14854, 24201, 1369, 20097, 269, 634, 1852, 540, 9566, 5210, 4249, 513, 2629, 1909, 538, 8159, 24011, 1782, 6668, 543, 2551, 6384, 563, 307, 17687, 7939, 1282, 29164, 454, 307, 31103, 3115, 3174, 281, 29362, 585, 519, 25725, 543, 32202, 18857, 1284, 1962, 532, 454, 314, 2316, 307, 4041, 316, 18323, 7939, 1282, 29164, 454, 314, 15045, 3198, 10485, 3582, 316, 11109, 8268, 519, 4070, 540, 20097, 538, 519, 3105, 3296, 267, 649, 1631, 2490, 938, 3007, 547, 1776, 2629, 2460, 540, 14854, 12093, 281, 2837, 7939, 1282, 29164, 563, 18823, 889, 566, 2837, 4249, 513, 2565, 1909, 538, 8159, 519, 3023, 5223, 540, 24011, 13530, 269, 1280, 1383, 267, 538, 513, 1353, 5342, 593, 15195, 16015, 267, 3173, 1336, 602, 5798, 17861, 730, 693, 2539, 5210, 630, 19925, 476, 2918, 9180, 264, 3812, 15866, 5256, 15556, 267, 1247, 2362, 5210, 630, 19925, 476, 3953, 9180, 264, 8507, 538, 4775, 1532, 328, 1078, 3023, 12753, 269, 901, 7613, 267, 1634, 607, 2837, 17466, 3023, 8990, 630, 15056, 1070, 8711, 519, 8417, 540, 14854, 24201, 547, 2825, 2175, 563, 314, 289, 8085, 4041, 307, 18161, 19860, 700, 8780, 2639, 2414, 2417, 9414, 519, 1764, 540, 2837, 593, 25782, 1646, 912, 268, 4400, 5210, 666, 17108, 25782, 2208, 855, 949, 849, 2333, 9019, 3928, 563, 268, 1160, 14075, 539, 4598, 547, 3665, 3002, 666, 1291, 547, 9402, 7387, 1646, 610, 1256, 2669, 563, 268, 590, 5844, 2242, 538, 2837, 1369, 519, 9566, 666, 2014, 11095, 17244, 563, 268, 15346, 518, 5210, 1282, 2038, 5933, 540, 29164, 949, 1267, 538, 16607, 554, 10248, 610, 4130, 13355, 24011, 13530, 563, 347, 18823, 889, 566, 18323, 1475, 29189, 22472, 2008, 1607, 3349, 5693, 9727, 875, 1114, 9832, 540, 29164, 5210, 3310, 519, 4611, 3023, 5223, 1851, 24011, 13530, 269, 898, 19156, 519, 10347, 3666, 2838, 585, 3811, 10285, 4093, 543, 11363, 519, 991, 585, 5726, 3646, 6322, 693, 8497, 6099, 21224, 9249, 563, 1103, 5758, 267, 1620, 543, 5883, 2837, 7939, 1282, 29164, 568, 1898, 585, 4180, 2635, 5095, 540, 16015, 269, 634, 16799, 1063, 19355, 5210, 543, 25782, 1646, 814, 2484, 23568, 6286, 711, 1152, 585, 1367, 2249, 855, 849, 585, 5117, 6384, 607, 513, 2898, 269, 769, 1769, 540, 891, 4681, 267, 1577, 721, 1631, 5490, 883, 519, 1985, 3942, 540, 14854, 12093, 281, 25782, 1646, 563, 314, 15045, 3198, 10485, 3582, 316, 2060, 513, 6109, 9787, 593, 2837, 7939, 1282, 29164, 267, 649, 1631, 6521, 938, 1445, 547, 519, 6946, 1184, 540, 25782, 1646, 563, 307, 17687, 7939, 1282, 29164, 568, 513, 2629, 3815, 538, 8159, 519, 3811, 1646, 540, 14854, 24201, 269, 634, 3105, 3296, 12006, 875, 2837, 5540, 25782, 2208, 543, 3023, 8990, 267, 855, 1631, 1577, 779, 5490, 883, 519, 4241, 1184, 540, 25782, 1646, 3294, 563, 7628, 29164, 267, 14854, 5798, 10929, 1896, 5933, 540, 1646, 1354, 554, 10248, 269, 901, 1184, 3335, 3217, 9170, 689, 476, 3393, 547, 476, 3445, 2395, 267, 4470, 593, 519, 2249, 543, 2825, 2175, 269, 1677, 9414, 713, 267, 1577, 779, 2015, 519, 19858, 2013, 1353, 540, 8298, 3455, 3650, 16015, 630, 22512, 1777, 320, 1416, 1777, 320, 1040, 10801, 741, 29164, 1974, 267, 8298, 3455, 3650, 24201, 3356, 998, 3982, 5933, 971, 607, 1579, 822, 720, 267, 8819, 337, 1637, 267, 1418, 14003, 267, 543, 6368, 267, 24011, 1782, 5250, 563, 21615, 787, 657, 1020, 6385, 1369, 741, 8825, 16115, 269, 7581, 822, 720, 7436, 519, 3355, 6498, 540, 2281, 1310, 22289, 1247, 8819, 337, 1637, 3322, 1591, 9194, 543, 15285, 547, 1106, 10351, 6106, 269, 5029, 14003, 1287, 5205, 9290, 607, 8219, 2253, 547, 1491, 3337, 543, 1599, 269, 7053, 267, 1310, 11264, 891, 6946, 11095, 3157, 267, 24011, 13530, 10836, 689, 741, 5798, 17850, 338, 4712, 547, 6330, 741, 1259, 2509, 519, 5836, 563, 2414, 18427, 606, 3929, 3210, 3823, 519, 13438, 5185, 676, 14854, 24201, 1282, 29164, 267, 1934, 568, 513, 16886, 1448, 1592, 10223, 930, 2591, 789, 7237, 912, 268, 17290, 4027, 1996, 11975, 563, 268, 12246, 1061, 2225, 547, 2837, 15088, 563, 268, 23977, 1676, 1464, 547, 13596, 610, 3676, 563, 268, 15783, 4220, 15054, 676, 1480, 2238, 2282, 21224, 4609, 563, 12234, 267, 585, 2417, 1764, 593, 3988, 685, 4664, 827, 519, 6526, 1006, 540, 14854, 24011, 13530, 685, 6668, 3460, 267, 2630, 568, 513, 3349, 15386, 1585, 6937, 789, 3068, 693, 1114, 5933, 912, 347, 301, 20535, 1475, 303, 1042, 2209, 1475, 24965, 1027, 804, 8553, 1967, 2008, 347, 18823, 889, 566, 1475, 307, 17687, 15088, 1475, 6781, 7538, 1646, 2008, 347, 8070, 268, 1002, 577, 1475, 20332, 11975, 1475, 11947, 9019, 3928, 2008, 2026, 649, 2263, 519, 11944, 540, 24011, 13530, 538, 519, 7766, 3296, 267, 621, 568, 2629, 547, 1174, 875, 891, 11095, 5933, 1305, 519, 5748, 585, 741, 6668, 543, 9542, 269, 634, 6946, 3157, 602, 2049, 1369, 519, 14854, 5798, 3337, 711, 1152, 1367, 16015, 685, 2729, 855, 849, 3565, 547, 4509, 2635, 5095, 540, 891, 7415, 7068, 538, 938, 8134, 563, 28770, 10885, 540, 24011, 13530, 454, 21615, 787, 4577, 1646, 568, 513, 2629, 3942, 538, 519, 10285, 4783, 540, 16015, 543, 12475, 334, 2478, 269, 4438, 713, 1184, 267, 519, 6992, 1242, 5798, 10929, 1713, 2242, 607, 789, 1020, 883, 4628, 4646, 24011, 13530, 269, 4197, 519, 14960, 540, 25782, 1646, 666, 1683, 3407, 4030, 883, 519, 1272, 4783, 540, 891, 20641, 563, 2690, 3236, 267, 1577, 779, 2015, 519, 2013, 1353, 540, 519, 16463, 3724, 4262, 14854, 630, 291, 1069, 28970, 569, 338, 1351, 807, 576, 320, 1040, 901, 2249, 568, 1634, 585, 922, 2189, 10285, 4640, 267, 1141, 8951, 2482, 741, 5798, 593, 22501, 17822, 269, 4495, 9788, 267, 891, 5798, 616, 2451, 547, 17861, 622, 896, 519, 14246, 540, 519, 3141, 269, 3683, 513, 1974, 540, 1896, 4374, 267, 606, 5044, 540, 12214, 3157, 1491, 1747, 1369, 1142, 4212, 267, 3056, 547, 519, 5250, 543, 2208, 540, 1585, 4105, 8219, 543, 3889, 563, 2414, 1732, 10146, 891, 11095, 2242, 267, 1934, 616, 930, 1883, 3344, 2404, 609, 14854, 21872, 1646, 912, 268, 22050, 337, 1637, 281, 901, 3355, 5123, 3322, 519, 7004, 540, 513, 2582, 2000, 599, 1229, 19046, 3121, 883, 513, 8819, 337, 3121, 12544, 3818, 2000, 599, 1229, 2497, 602, 3029, 1114, 10351, 6106, 4758, 4473, 547, 1808, 8031, 563, 268, 5029, 14003, 281, 1306, 24201, 3356, 2417, 538, 741, 1646, 267, 1418, 14003, 4386, 269, 901, 6946, 1184, 2164, 538, 519, 5250, 543, 15285, 540, 2101, 8219, 971, 607, 2295, 267, 9641, 267, 2634, 267, 543, 17873, 563, 268, 2836, 322, 2305, 281, 6271, 2565, 2460, 1282, 25782, 1646, 568, 18287, 2305, 9789, 18254, 540, 7513, 20919, 5196, 3384, 7633, 610, 16115, 269, 2836, 322, 2305, 2488, 7293, 8699, 543, 4027, 547, 17866, 8031, 1996, 5007, 12503, 610, 5222, 563, 268, 5450, 18982, 2670, 281, 769, 1978, 2249, 899, 15195, 16015, 630, 324, 3052, 1421, 932, 787, 9895, 903, 3182, 320, 1070, 23009, 2670, 3217, 1747, 1310, 554, 10248, 269, 2311, 713, 3942, 267, 2168, 14759, 2049, 602, 1450, 873, 547, 3082, 689, 606, 12748, 6197, 607, 16793, 547, 513, 811, 18714, 835, 607, 4079, 563, 2414, 5490, 4514, 883, 1620, 25782, 1646, 538, 16015, 543, 12475, 334, 2478, 267, 621, 949, 581, 5363, 547, 3277, 547, 7305, 476, 272, 2630, 912, 18871, 548, 822, 720, 1475, 15900, 1591, 15523, 1739, 22289, 602, 2285, 4473, 547, 513, 19046, 3121, 8198, 347, 294, 770, 337, 1637, 1475, 13528, 566, 540, 519, 1614, 3119, 10351, 6106, 281, 28341, 25866, 267, 8544, 25866, 267, 543, 1439, 25866, 8198, 347, 16391, 14003, 1475, 17843, 2747, 543, 1646, 540, 2101, 8219, 543, 3889, 8198, 347, 295, 10248, 1475, 28770, 10885, 540, 4628, 4646, 24011, 13530, 689, 741, 5798, 8198, 1607, 3349, 2488, 513, 13151, 3307, 7650, 540, 519, 1585, 5933, 3238, 538, 25782, 1646, 563, 2026, 649, 2263, 2417, 883, 519, 1272, 4783, 540, 16015, 543, 12475, 334, 2478, 267, 938, 3007, 1631, 7140, 547, 519, 1888, 540, 15366, 1416, 540, 24011, 13530, 269, 4197, 875, 891, 20641, 1683, 585, 741, 15556, 1310, 554, 10248, 568, 1898, 585, 11543, 513, 3102, 1620, 540, 741, 10285, 2994, 543, 6668, 6127, 563, 21122, 531, 1416, 540, 24011, 13530, 454, 9558, 819, 532, 689, 519, 3105, 3296, 593, 519, 11944, 540, 24011, 13530, 267, 649, 1631, 5490, 883, 519, 4241, 7706, 540, 21224, 2623, 538, 16015, 543, 12475, 334, 2478, 269, 1677, 9414, 713, 7613, 267, 1577, 779, 2015, 513, 2013, 1353, 5473, 513, 4775, 2845, 3455, 3650, 14854, 630, 22512, 1777, 320, 1416, 1777, 320, 264, 3957, 645, 7578, 563, 301, 20535, 5615, 4268, 2066, 1114, 2249, 267, 855, 789, 3622, 4125, 1896, 1455, 5933, 912, 268, 29922, 606, 3617, 4087, 281, 1879, 8600, 547, 2482, 1200, 5798, 267, 645, 7578, 23939, 12220, 1761, 21224, 4609, 2059, 519, 22501, 17822, 269, 2701, 11394, 2127, 609, 6099, 5070, 2837, 543, 7509, 2157, 547, 2327, 3811, 29164, 563, 268, 6226, 3101, 519, 9566, 281, 4495, 645, 7578, 814, 6074, 513, 5078, 5544, 267, 1352, 5956, 20857, 1210, 1200, 3532, 1166, 26802, 269, 2060, 7415, 8856, 267, 1352, 5932, 513, 2620, 13570, 602, 786, 16102, 1200, 10475, 804, 8553, 689, 11975, 543, 2825, 2188, 563, 268, 700, 11691, 5798, 281, 2991, 11264, 519, 26995, 1184, 267, 645, 7578, 5402, 12074, 1142, 1367, 4212, 883, 519, 9566, 12068, 269, 8298, 3455, 3650, 16015, 3335, 2482, 1472, 476, 1911, 547, 476, 14695, 5798, 829, 804, 8553, 267, 3246, 2104, 5481, 609, 15792, 4316, 585, 6668, 563, 1607, 21224, 2623, 568, 711, 2189, 547, 645, 7578, 282, 1082, 14854, 543, 12475, 18857, 2249, 8858, 2147, 3270, 950, 621, 2501, 547, 12093, 269, 1677, 2417, 5031, 741, 2956, 538, 8497, 891, 15999, 7068, 267, 1577, 721, 2263, 930, 1883, 4128, 1946, 1620, 21224, 2623, 568, 2629, 912, 268, 11094, 3646, 281, 1635, 4974, 21224, 6208, 267, 5726, 1235, 666, 2697, 2565, 9249, 602, 991, 4027, 543, 2936, 3800, 547, 2327, 2922, 9960, 12406, 585, 891, 20641, 563, 268, 11310, 540, 2551, 6384, 281, 4197, 1141, 16015, 543, 12475, 334, 2478, 4782, 547, 9566, 2636, 3173, 547, 7447, 2551, 7306, 811, 8308, 543, 6895, 2242, 936, 942, 563, 268, 8693, 1689, 1382, 281, 715, 20535, 2623, 2488, 3407, 5813, 883, 875, 8375, 5210, 1764, 10285, 1967, 3928, 1851, 891, 4411, 15918, 797, 539, 2831, 563, 268, 12409, 3255 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 6637, 476, 1626, 281, 10289, 8535, 998, 966, 5914, 32310, 692, 5970, 596, 2479, 8068, 875, 930, 2206, 619, 3100, 547, 723, 2789, 9739, 286, 1358, 666, 6467, 1063, 3280, 532, 1164, 543, 2011, 344, 267, 899, 513, 6177, 13465, 267, 547, 2620, 543, 3532, 267, 899, 513, 17794, 887, 2130, 256, 901, 5863, 2702, 568, 1813, 547, 1945, 1572, 13047, 14261, 780, 2414, 1174, 1018, 13047, 14261, 1797, 267, 1577, 781, 1101, 2911, 827, 707, 5639, 4216, 267, 849, 1634, 607, 519, 561, 28449, 269, 18738, 707, 561, 28449, 616, 1079, 6263, 6091, 1572, 13047, 27871, 602, 5854, 622, 950, 596, 3717, 610, 2206, 269, 1635, 14577, 519, 8082, 543, 11098, 540, 891, 27871, 267, 596, 1711, 1114, 4992, 1107, 713, 568, 1141, 13047, 14261, 2501, 883, 1404, 2439, 5331, 2348, 513, 1305, 540, 2679, 7161, 609, 8795, 7306, 269, 1411, 666, 1628, 3889, 1210, 1152, 835, 2450, 3625, 267, 855, 952, 596, 9192, 873, 8335, 267, 596, 1205, 2189, 3889, 269, 6684, 267, 13047, 14261, 2636, 721, 547, 946, 1585, 10659, 540, 938, 13047, 27871, 547, 3132, 3982, 2010, 540, 4992, 269, 1452, 3604, 1267, 538, 2185, 1292, 13047, 27861, 281, 13047, 26650, 267, 1110, 531, 630, 3832, 560, 264, 11578, 267, 535, 1023, 564, 1729, 630, 3650, 264, 11578, 267, 543, 27646, 11578, 780, 4131, 781, 2263, 1142, 835, 1384, 272, 269, 2878, 309, 5914, 674, 787, 4995, 4746, 1572, 1350, 582, 2145, 26650, 610, 13942, 13093, 566, 267, 713, 9803, 11578, 5932, 513, 1402, 4771, 610, 678, 3430, 1782, 3280, 693, 519, 1394, 540, 707, 11563, 269, 6056, 540, 2576, 708, 23550, 513, 3684, 7784, 610, 4358, 513, 27576, 2599, 910, 1346, 18574, 569, 4992, 2099, 13047, 26650, 269, 2755, 649, 1810, 1405, 3335, 946, 713, 11578, 1247, 6340, 610, 13465, 267, 3006, 2206, 619, 8415, 621, 585, 2027, 2360, 780, 7078, 281, 8347, 21757, 707, 11563, 9900, 267, 9878, 3007, 547, 519, 18388, 532, 14815, 538, 707, 8405, 269, 2334, 781, 13047, 26650, 2439, 273, 269, 2878, 9556, 531, 19193, 1262, 630, 10193, 1634, 607, 9221, 5639, 2567, 4107, 1004, 5097, 946, 741, 1110, 531, 5639, 1282, 2834, 4633, 543, 4948, 2238, 269, 1879, 596, 5873, 2576, 6158, 10978, 569, 610, 6612, 2299, 267, 789, 2811, 2693, 1210, 741, 1110, 531, 11578, 269, 7327, 619, 2308, 713, 2178, 543, 2407, 1532, 617, 1221, 3280, 585, 1082, 2442, 8964, 780, 7078, 281, 17166, 834, 31435, 257, 3196, 2685, 607, 952, 3843, 547, 3914, 2576, 2484, 2476, 269, 18564, 519, 22298, 2298, 540, 707, 5639, 910, 602, 781, 1110, 531, 5639, 2439, 274, 269, 2878, 293, 1023, 564, 1729, 19193, 1262, 630, 528, 2212, 5639, 2567, 17451, 6836, 13147, 10107, 513, 20419, 1915, 609, 513, 2706, 1164, 1790, 17097, 2695, 324, 21294, 5639, 286, 932, 1734, 616, 596, 1031, 707, 535, 1023, 564, 1729, 11578, 256, 10705, 2404, 609, 4775, 521, 641, 3757, 657, 610, 5256, 4557, 832, 543, 4831, 1084, 832, 267, 535, 1023, 564, 1729, 2164, 689, 17159, 13047, 10260, 8082, 3850, 1152, 9864, 3346, 2059, 741, 3259, 780, 7078, 281, 9966, 519, 19820, 540, 834, 23562, 30257, 3828, 30257, 9741, 10060, 2437, 1287, 2119, 547, 979, 2362, 8486, 3481, 982, 8912, 269, 1403, 596, 8011, 267, 596, 1175, 9411, 519, 7706, 540, 535, 1023, 564, 1729, 2439, 275, 269, 2878, 2662, 16824, 19193, 4995, 1306, 922, 2012, 5267, 267, 713, 5207, 11578, 20998, 513, 27646, 6438, 3280, 3812, 676, 3665, 30034, 543, 15198, 540, 519, 13047, 27871, 269, 8307, 513, 1906, 2043, 1765, 2865, 28020, 22968, 22256, 3057, 11672, 5516, 344, 1765, 4754, 1569, 713, 4686, 30829, 2039, 780, 12244, 281, 19415, 547, 19827, 10023, 5159, 15386, 1114, 13047, 27861, 269, 11559, 1362, 4901, 7114, 799, 2694, 4866, 547, 1142, 7121, 269, 1280, 1383, 267, 6432, 547, 18724, 2284, 20279, 781, 834, 296, 4024, 11408, 11146, 1411, 257, 10223, 1200, 5912, 1063, 9221, 543, 2212, 9739, 269, 2107, 2972, 7812, 12722, 781, 834, 3891, 531, 519, 2622, 257, 13031, 1010, 5347, 6521, 883, 535, 1023, 564, 1729, 269, 1656, 6368, 267, 14952, 693, 3057, 11672, 5516, 344, 781, 834, 10387, 19600, 257, 11744, 11141, 6165, 540, 27646, 11578, 780, 3528, 1620, 13047, 14261, 267, 649, 5660, 519, 10848, 3238, 538, 2870, 2575, 543, 11589, 4664, 998, 5152, 269, 1924, 1985, 942, 596, 6432, 547, 2575, 267, 2628, 2673, 3007, 547, 519, 9739, 543, 1294, 952, 596, 666, 2697, 1022, 10593, 1851, 891, 4241, 13047, 9832, 256, 0, 2080, 568, 606, 1349, 689, 513, 2546, 281, 834, 4596, 309, 21068, 8863, 2975, 8980, 302, 5889, 261, 258, 343, 736, 3722, 282, 261, 258, 343, 18891, 273, 282, 306, 654, 12239, 590, 18510, 7838, 7034, 454, 23077, 16249, 10396, 5990, 667, 8104, 454, 9915, 4488, 24361, 595, 22664, 11123, 22400, 18161, 302, 6224, 454, 291, 3198, 10911, 2177, 2562, 717, 4353, 2464, 2475, 589, 570, 21788, 454, 288, 595, 772, 590, 570, 744, 631, 670, 744, 631, 661, 654, 594, 570, 670, 595, 772, 700, 307, 772, 681, 589, 700, 590, 594, 717, 715, 594, 674, 594, 595, 589, 715, 595, 661, 454, 299, 633, 5020, 3203, 2685, 14970, 621, 1934, 1743, 1722, 9188, 793, 338, 2593, 454, 298, 527, 7770, 1299, 24872, 22456, 454, 290, 700, 594, 661, 715, 570, 674, 744, 595, 772, 590, 661, 667, 667, 661, 590, 594, 717, 715, 12882, 261, 258, 343, 1001, 292, 282, 391, 502, 590, 594, 715, 595, 661, 476, 272, 476, 280, 476, 279, 476, 278, 269, 717, 700, 661, 715, 661, 700, 700, 312, 715, 2073, 594, 700, 700, 594, 715, 744, 594, 590, 476, 279, 476, 279, 476, 279, 1547, 476, 275, 476, 273, 476, 273, 1547, 476, 271, 476, 272, 476, 272, 476, 271, 454, 2005, 779, 711, 827, 519, 10278, 267, 898, 779, 827, 23630, 519, 6788, 634, 10278, 585, 11005, 267, 16134, 543, 13418, 269, 2060, 1614, 5195, 540, 15999, 3043, 22501, 17822, 543, 17288, 19317, 9475, 540, 23594, 1222, 17075, 267, 621, 779, 2760, 1044, 4443, 547, 1289, 513, 1747, 1753, 269, 3776, 1360, 1378, 623, 2863, 320, 2052, 320, 4139, 23076, 18715, 606, 4674, 1652, 3460, 689, 519, 23525, 547, 519, 25211, 540, 938, 589, 8150, 12866, 27339, 13815, 20421, 32202, 32256, 7345, 23392, 543, 634, 4639, 514, 623, 2863, 659, 3570, 1763, 677, 1299, 11833, 563, 294, 14442, 334, 623, 2863, 659, 3570, 22842, 476, 2004, 1296, 8149, 547, 4264, 9235, 538, 519, 29401, 6243, 269, 32202, 32256, 7345, 23392, 267, 634, 4639, 514, 623, 2863, 659, 3570, 6231, 8620, 606, 2502, 543, 3015, 1576, 1770, 538, 513, 1837, 585, 1647, 1153, 1053, 1644, 547, 519, 1349, 1657, 267, 2519, 593, 631, 4785, 2975, 1315, 19019, 1299, 5530, 1315, 20429, 1315, 966, 5914, 32310, 269, 898, 1058, 581, 3358, 585, 1647, 1153, 1053, 1510, 1991, 1702, 593, 519, 1888, 780, 2521, 547, 1384, 268, 3629, 2143, 3137, 267, 2057, 2930, 3822, 267, 543, 1459, 519, 2093, 538, 513, 3551, 267, 2239, 3159, 563, 268, 3417, 1806, 547, 1118, 519, 1641, 3839, 543, 3078, 585, 1762, 1647, 1153, 1053, 269, 3097, 268, 1684, 711, 2446, 519, 1357, 1349, 538, 519, 1837, 543, 798, 711, 1331, 513, 2140, 610, 2606, 2453, 267, 596, 1058, 2328, 519, 1543, 2047, 269, 0, 769, 1394, 326, 2459, 517, 267, 18644, 543, 2215, 532, 616, 1079, 2629, 2994, 1031, 547, 2744, 606, 5413, 936, 707, 18545, 269, 1452, 12485, 4125, 22392, 519, 13307, 540, 2638, 619, 593, 519, 4604, 547, 3625, 707, 18545, 781, 7575, 1247, 8195, 2870, 3255, 585, 3054, 269, 2913, 721, 5490, 4514, 883, 891, 2553, 543, 2263, 875, 789, 3565, 547, 519, 2949, 29863, 1995, 780, 1262, 295, 9231, 16001, 4263, 922, 4295, 267, 18644, 4016, 547, 519, 957, 540, 13941, 513, 2638, 518, 593, 606, 18545, 781, 1025, 582, 630, 534, 1367, 2638, 518, 30939, 513, 1448, 1070, 7551, 11488, 621, 547, 519, 3046, 269, 901, 2962, 3927, 18788, 519, 18545, 781, 4062, 689, 519, 4604, 2394, 789, 5066, 513, 1297, 602, 2636, 873, 547, 556, 268, 10938, 519, 2638, 518, 5196, 519, 4604, 269, 670, 9231, 568, 513, 3532, 4640, 950, 13401, 7157, 1317, 621, 7519, 338, 707, 18545, 781, 3356, 543, 4229, 873, 547, 1445, 593, 556, 268, 550, 1359, 741, 4773, 2864, 982, 2679, 2798, 543, 14027, 2509, 12946, 1055, 780, 2414, 11694, 519, 7145, 540, 713, 4480, 267, 2015, 14139, 519, 1739, 4485, 1384, 265, 2878, 307, 13759, 1164, 17032, 1025, 1824, 4995, 13667, 547, 5734, 1025, 1824, 4092, 593, 1883, 2798, 602, 1131, 3648, 1764, 707, 18545, 781, 2702, 547, 1628, 6305, 3889, 610, 4434, 741, 824, 2638, 619, 269, 1280, 1383, 267, 3077, 1154, 1025, 1824, 593, 2798, 11105, 547, 4540, 22136, 610, 17527, 2798, 786, 1118, 621, 811, 2352, 585, 707, 18545, 547, 9156, 563, 265, 2878, 14611, 1555, 8112, 4995, 2142, 13533, 540, 707, 1378, 17568, 1310, 22589, 513, 5734, 269, 5269, 2386, 596, 2226, 2614, 10688, 547, 4431, 547, 1022, 4831, 3430, 2931, 610, 11941, 707, 18545, 1522, 1118, 538, 3210, 269, 3680, 6028, 2565, 10616, 538, 707, 2497, 602, 1223, 581, 3362, 6098, 563, 265, 2878, 12901, 4602, 622, 29156, 4995, 1879, 12902, 29156, 267, 2141, 2015, 1312, 519, 2040, 4364, 1871, 543, 519, 7368, 1871, 540, 519, 18062, 269, 8935, 7632, 2709, 2799, 7399, 585, 1818, 16125, 267, 865, 1491, 2407, 5413, 540, 891, 20061, 8164, 2009, 269, 1717, 267, 849, 3635, 13657, 711, 547, 16616, 707, 1378, 2638, 619, 11032, 947, 3320, 1282, 971, 8942, 780, 1262, 22958, 532, 16001, 288, 6305, 568, 513, 15654, 3126, 540, 13026, 2798, 602, 9673, 1206, 606, 18545, 781, 3350, 543, 1569, 547, 1808, 2127, 540, 519, 4604, 269, 8490, 513, 6305, 3322, 21825, 11093, 2638, 619, 593, 20422, 2798, 267, 8108, 513, 11064, 602, 17837, 1590, 6330, 1472, 610, 2736, 998, 269, 1635, 14335, 2500, 22136, 267, 596, 3970, 707, 18545, 781, 3681, 543, 1711, 3255, 547, 18645, 3606, 2798, 610, 5965, 585, 7703, 11325, 780, 2080, 616, 930, 4388, 585, 3811, 2215, 532, 1384, 265, 2878, 26368, 4998, 6753, 4995, 10312, 593, 14335, 22136, 538, 6810, 540, 519, 4604, 1141, 789, 666, 2014, 1713, 17522, 547, 707, 18545, 781, 4566, 269, 27814, 267, 2832, 547, 3715, 22136, 2282, 707, 18545, 781, 12979, 1819, 2638, 619, 610, 2059, 10092, 3056, 2509, 741, 3119, 6662, 630, 324, 3052, 1421, 741, 476, 272, 15304, 1916, 265, 2878, 1805, 21880, 6533, 4617, 9634, 4995, 1306, 596, 1628, 707, 6305, 267, 2327, 602, 972, 616, 1100, 7925, 2798, 1369, 519, 2497, 602, 1223, 581, 3362, 6098, 676, 707, 18545, 269, 16237, 6533, 4617, 9634, 676, 4946, 3063, 2638, 619, 547, 1346, 7158, 610, 17923, 873, 609, 1489, 689, 7404, 2798, 563, 265, 2878, 3849, 2194, 1759, 593, 2796, 4995, 25506, 950, 621, 949, 581, 6225, 547, 17303, 10205, 610, 12189, 707, 6305, 952, 3257, 865, 5932, 1007, 3255, 11992, 593, 519, 4604, 269, 21253, 2225, 538, 15268, 547, 4657, 6381, 568, 1898, 585, 4509, 1852, 2429, 519, 3014, 780, 3528, 13215, 519, 1148, 540, 18644, 543, 2215, 532, 267, 596, 3986, 707, 7580, 3206, 543, 3375, 6194, 5759, 538, 1394, 326, 2459, 517, 269, 14146, 532, 891, 2553, 6087, 596, 547, 11851, 2604, 593, 707, 17837, 267, 31194, 593, 741, 9073, 267, 543, 6038, 2333, 707, 8458, 540, 10888, 269, 5548, 1324, 2620, 883, 891, 3344, 540, 519, 3014, 11942, 513, 21950, 1620, 540, 1394, 326, 2459, 517, 11707, 543, 8309, 547, 513, 811, 2502, 543, 14785, 4730, 1995, 269, 0, 2080, 568, 606, 1349, 689, 513, 2546, 912, 257, 289, 564, 18458, 4563, 329, 871, 13095, 1091, 30080, 454, 1103, 332, 1039, 527, 517, 331, 267, 4730, 7270, 602, 946, 513, 30908, 560, 1389, 2203, 899, 932, 3518, 320, 16629, 3626, 666, 16155, 5512, 25877, 11080, 585, 2724, 26065, 269, 1924, 1018, 2409, 1281, 519, 9952, 3109, 329, 871, 16045, 946, 547, 10726, 519, 593, 1899, 25877, 267, 1577, 4805, 519, 1543, 1570, 2326, 269, 3807, 28492, 891, 616, 9120, 6310, 15004, 799, 838, 527, 856, 17542, 540, 2338, 829, 2034, 267, 602, 1058, 711, 581, 513, 2601, 585, 15372, 269, 634, 10243, 568, 1851, 519, 5207, 538, 519, 593, 11060, 13989, 2872, 563, 7021, 476, 273, 269, 276, 17644, 9669, 914, 338, 1500, 676, 5716, 723, 547, 581, 5116, 593, 8766, 12918, 2362, 982, 610, 3160, 547, 476, 272, 269, 1015, 269, 1403, 519, 3683, 476, 273, 269, 276, 17644, 9669, 616, 17479, 538, 513, 3575, 7328, 1505, 267 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1174, 1142, 3693, 1577, 803, 2671, 930, 2081, 28001, 1143, 16621, 873, 883, 3232, 1272, 543, 12738, 1384, 2162, 21344, 6052, 10046, 692, 3528, 9301, 519, 16799, 1851, 891, 2609, 267, 28001, 1235, 3494, 789, 666, 2226, 1697, 1648, 2095, 630, 304, 328, 1040, 1280, 1383, 267, 952, 835, 7959, 22376, 1375, 880, 630, 1729, 334, 1454, 3047, 1070, 8026, 2238, 4448, 547, 9605, 1223, 3142, 1394, 11466, 780, 2162, 23046, 13756, 692, 5278, 7067, 23857, 4019, 519, 3741, 540, 18961, 2473, 532, 269, 3600, 1575, 9417, 584, 1235, 7696, 19271, 2059, 5789, 573, 2103, 7222, 547, 1978, 8219, 6766, 676, 1880, 2609, 269, 4935, 267, 5466, 20817, 5012, 547, 4824, 1072, 780, 2162, 674, 1263, 1744, 14241, 692, 293, 3599, 25786, 11647, 1759, 593, 1627, 328, 4287, 286, 9373, 674, 1263, 1744, 14241, 267, 1141, 9439, 21825, 1747, 3615, 2687, 547, 519, 12866, 15689, 3069, 547, 3986, 2318, 1648, 10009, 3330, 5656, 780, 6962, 454, 29603, 8139, 519, 12866, 15689, 538, 28001, 1143, 10741, 909, 513, 2898, 1007, 5133, 593, 19825, 2470, 267, 1480, 2623, 267, 543, 17035, 269, 8921, 942, 950, 11287, 519, 4657, 12405, 610, 10452, 593, 2123, 7592, 267, 3314, 519, 10752, 540, 8381, 267, 9605, 267, 3047, 267, 19045, 267, 543, 4826, 269, 1358, 7618, 721, 602, 3388, 538, 1272, 568, 10562, 543, 7683, 9687, 269, 0, 2080, 568, 606, 1349, 689, 513, 2546, 912, 257, 3279, 334, 1143, 7269, 676, 476, 6344, 271, 2781, 454, 267, 28001, 1143, 2523, 8032, 519, 1646, 540, 26960, 630, 313, 523, 264, 13221, 267, 10962, 2609, 899, 519, 1523, 540, 2067, 1145, 267, 1253, 6412, 540, 27403, 543, 1257, 267, 543, 8561, 593, 8508, 834, 10472, 1272, 257, 543, 2713, 538, 519, 834, 22336, 2173, 30291, 257, 907, 634, 2165, 546, 14504, 334, 10202, 14504, 582, 14243, 630, 421, 479, 497, 10533, 492, 23523, 496, 282, 1412, 31742, 518, 540, 28001, 1143, 30670, 609, 519, 2495, 540, 834, 307, 7776, 626, 257, 607, 834, 26792, 4759, 610, 1825, 591, 540, 28001, 1143, 2580, 568, 513, 2413, 8798, 602, 4422, 1394, 547, 519, 4367, 540, 519, 5375, 7121, 540, 834, 6716, 2213, 4984, 257, 538, 3624, 538, 519, 476, 736, 628, 2540, 267, 855, 621, 814, 1100, 4644, 585, 1034, 540, 4457, 2486, 538, 799, 28001, 1143, 5170, 547, 581, 606, 834, 4650, 257, 540, 519, 3677, 1560, 540, 4457, 4984, 269, 28001, 1143, 814, 1185, 513, 7096, 3310, 593, 4457, 2528, 538, 519, 1576, 540, 519, 5553, 543, 28001, 1235, 630, 421, 479, 497, 417, 352, 360, 282, 546, 14504, 25493, 267, 834, 5733, 1562, 540, 519, 28001, 19823, 513, 2140, 12926, 11911, 1152, 547, 519, 23464, 543, 711, 547, 741, 2482, 13794, 267, 2356, 1491, 1416, 547, 4063, 519, 11984, 1063, 741, 9161, 2245, 543, 519, 2853, 540, 4457, 12563, 4984, 543, 1875, 6874, 7776, 626, 31546, 659, 592, 3010, 2237, 606, 2502, 543, 3015, 1576, 1770, 538, 513, 1837, 585, 1647, 1153, 1053, 1644, 547, 519, 1349, 1657, 267, 2519, 593, 834, 763, 12866, 15689, 1262, 630, 310, 340, 2473, 532, 17983, 607, 851, 540, 834, 32628, 1315, 28001, 1143, 2668, 634, 1543, 1058, 581, 3358, 585, 1647, 1153, 1053, 1510, 1991, 1702, 540, 519, 1888, 780, 2521, 547, 1384, 268, 3629, 2143, 3137, 267, 2057, 2930, 3822, 267, 543, 1459, 519, 2093, 538, 513, 3551, 267, 2239, 3159, 563, 268, 3417, 1806, 547, 1118, 519, 1641, 3839, 543, 3078, 585, 1762, 1647, 1153, 1053, 563, 268, 3680, 4304, 519, 1357, 1349, 538, 519, 1837, 269, 1684, 711, 1331, 513, 2140, 610, 2606, 2453, 269, 3399, 1603, 519, 1543, 2047, 269, 0, 8702, 547, 938, 10344, 1362, 256, 769, 713, 1770, 267, 649, 786, 2263, 519, 4241, 1158, 540, 3059, 3239, 11049, 1210, 513, 4480, 1572, 834, 32098, 5025, 2264, 4825, 537, 4221, 1701, 1411, 1810, 1405, 991, 1022, 1991, 1995, 609, 8666, 11049, 282, 649, 3513, 1376, 689, 15072, 543, 960, 938, 1259, 909, 1927, 780, 5331, 2921, 513, 4605, 540, 707, 2828, 1282, 12424, 267, 855, 972, 781, 513, 16297, 532, 1843, 538, 519, 4282, 12544, 17885, 10822, 610, 6148, 513, 30065, 2915, 29595, 1472, 269, 2060, 12474, 5025, 2264, 4825, 537, 4221, 267, 649, 666, 4012, 1227, 4894, 1346, 13311, 3615, 543, 5372, 873, 609, 12805, 2609, 689, 824, 2694, 540, 519, 8666, 269, 634, 1267, 286, 589, 3501, 25135, 14653, 602, 5654, 607, 1498, 621, 729, 3144, 676, 513, 605, 2439, 2080, 781, 1018, 596, 3513, 1451, 538, 713, 1770, 1384, 1262, 4089, 476, 272, 281, 4197, 7913, 16103, 1299, 17421, 3798, 1746, 12533, 2171, 3513, 2253, 676, 7234, 519, 9238, 540, 3059, 2592, 543, 1946, 789, 3006, 2154, 5905, 13522, 269, 3973, 267, 649, 3513, 6338, 1898, 2474, 899, 19641, 267, 6571, 267, 543, 2681, 12632, 269, 5213, 1405, 5855, 827, 3478, 16397, 282, 1589, 540, 891, 2035, 607, 2679, 7161, 585, 707, 2104, 1196, 1080, 780, 1262, 4089, 476, 273, 281, 24531, 12474, 5025, 2264, 13088, 12533, 9202, 267, 649, 4685, 883, 519, 1187, 851, 1107, 3695, 519, 3532, 12474, 5025, 2264, 2645, 3710, 1318, 883, 2442, 3301, 899, 23489, 26598, 269, 4635, 2241, 1900, 8386, 9912, 5528, 267, 649, 3513, 3391, 596, 998, 1585, 7653, 971, 607, 9427, 13311, 3688, 610, 11423, 8900, 5624, 1247, 4509, 2067, 2164, 780, 1262, 12244, 5093, 1280, 2259, 267, 2119, 13830, 930, 6337, 693, 1753, 610, 3544, 543, 3142, 873, 547, 1362, 269, 8625, 267, 1577, 781, 1294, 875, 1082, 19240, 649, 666, 9004, 1210, 12474, 5025, 2264, 2553, 2439, 1262, 4089, 476, 274, 281, 16792, 3203, 2065, 4469, 1515, 12533, 5629, 596, 1745, 6899, 2324, 609, 12474, 5025, 2264, 2645, 267, 649, 3513, 1397, 596, 875, 547, 1039, 3860, 1166, 4202, 547, 707, 5961, 269, 5994, 7432, 606, 8723, 23863, 883, 513, 18198, 6429, 4904, 609, 7524, 4778, 610, 1818, 513, 20585, 6607, 1413, 10565, 609, 1175, 513, 1906, 30390, 269, 19196, 1243, 2943, 2496, 1262, 19061, 5093, 7994, 835, 540, 707, 12995, 6337, 543, 4019, 1114, 7499, 6163, 547, 1711, 2789, 8747, 269, 10558, 707, 13144, 547, 519, 1362, 543, 2491, 799, 4528, 22587, 547, 596, 1034, 543, 1946, 780, 3528, 13215, 12474, 5025, 2264, 4825, 537, 4221, 267, 596, 3513, 12260, 11995, 7399, 950, 7393, 707, 11147, 269, 3502, 1152, 786, 713, 5578, 2087, 707, 1378, 25135, 32718, 267, 855, 621, 1522, 1256, 8300, 1866, 547, 4584, 909, 513, 8254, 1932, 256, 8414, 11049, 267, 543, 3314, 267, 1169, 4274, 729, 2899, 513, 19444, 1175, 899, 596, 269, 0, 2080, 568, 606, 1349, 689, 513, 2546, 281, 834, 1428, 7454, 26598, 3883, 585, 7353, 20802, 547, 6258, 538, 476, 1708, 274, 454, 6624, 993, 622, 2720, 543, 3318, 21706, 267, 11432, 1359, 1141, 547, 12398, 519, 1655, 2835, 585, 1565, 23489, 26598, 269, 1284, 4076, 12290, 513, 9522, 540, 9058, 23489, 26598, 2835, 269, 4653, 267, 649, 723, 7396, 519, 1283, 476, 1428, 2835, 602, 649, 2219, 616, 519, 1655, 2835, 547, 1451, 26598, 2609, 269, 1924, 952, 596, 2461, 1007, 547, 26598, 267, 610, 3274, 6999, 547, 1491, 707, 9345, 547, 1776, 1377, 267, 891, 2835, 666, 948, 596, 7494, 547, 11886, 707, 5326, 269, 1452, 2835, 1683, 596, 609, 3102, 1259, 547, 1451, 740, 12786, 6337, 7749, 563, 272, 269, 18104, 30488, 6651, 1677, 29923, 26598, 1656, 12861, 2622, 4147, 16071, 454, 21900, 657, 7749, 281, 18104, 30488, 6651, 1677, 29923, 26598, 1656, 12861, 2622, 4147, 16071, 2982, 596, 519, 25229, 9323, 540, 25291, 772, 1186, 267, 28389, 906, 267, 543, 7822, 4856, 516, 2388, 547, 1118, 707, 11147, 11613, 5863, 563, 2791, 3580, 4137, 856, 875, 547, 8415, 5373, 2645, 267, 585, 1383, 267, 519, 5862, 19943, 267, 15513, 267, 3337, 543, 1899, 15457, 520, 4926, 269, 901, 1433, 849, 2337, 596, 547, 8415, 6231, 8620, 606, 2502, 543, 3015, 1576, 1770, 538, 513, 1837, 585, 1647, 1153, 1053, 1644, 547, 519, 1349, 1657, 267, 2519, 593, 11682, 5588, 24209, 1315, 9828, 1315, 7913, 1315, 12474, 5025, 2264, 4825, 537, 4221, 269, 898, 1058, 581, 3358, 585, 1647, 1153, 1053, 1510, 1991, 1702, 593, 519, 1888, 780, 2521, 547, 1384, 268, 3629, 2143, 3137, 267, 2057, 2930, 3822, 267, 543, 1459, 519, 2093, 538, 513, 3551, 267, 2239, 3159, 563, 268, 3417, 1806, 547, 1118, 519, 1641, 3839, 543, 3078, 585, 1762, 1647, 1153, 1053, 269, 3097, 268, 1684, 711, 2446, 519, 1357, 1349, 538, 519, 1837, 543, 798, 711, 1331, 513, 2140, 610, 2606, 2453, 267, 596, 1058, 2328, 519, 1543, 2047, 269, 0, 6637, 7170, 281, 8111, 12829, 8293, 573, 256, 4197, 4239, 641, 4926, 262, 9214, 323, 1043, 11106, 692, 5970, 596, 2479, 4862, 540, 606, 12354, 22455, 1354, 286, 1403, 865, 267, 596, 1522, 917, 602, 891, 4241, 2831, 2661, 538, 519, 5836, 543, 666, 1689, 4778, 269, 1809, 1705, 596, 917, 602, 12354, 641, 4926, 616, 2965, 2808, 2731, 5100, 1851, 4262, 7068, 286, 2913, 781, 4685, 4514, 883, 1018, 2306, 12354, 641, 4926, 865, 2027, 950, 621, 2501, 547, 741, 12058, 543, 2623, 2439, 5575, 1919, 1101, 910, 1577, 781, 2911, 827, 1141, 12354, 641, 4926, 3514, 538, 519, 3662, 10806, 269, 1411, 949, 1589, 602, 12354, 641, 4926, 616, 899, 2462, 267, 5216, 6122, 13949, 3165, 267, 855, 789, 5749, 1405, 3833, 256, 5502, 540, 2348, 7633, 610, 10253, 899, 3165, 267, 12354, 641, 4926, 723, 2571, 4703, 609, 1100, 7729, 30416, 693, 782, 269, 901, 2636, 873, 547, 25837, 998, 6263, 18015, 543, 1212, 341, 1182, 538, 7725, 547, 12404, 689, 11975, 630, 528, 14229, 752, 909, 593, 5667, 639, 1051, 532, 10352, 1040, 1358, 4866, 547, 513, 1895, 1572, 524, 31525, 641, 16104, 267, 2059, 609, 824, 10995, 4262, 17743, 619, 971, 607, 2695, 1749, 543, 2759, 1479, 8127, 780, 3086, 602, 649, 1174, 811, 827, 1018, 606, 12354, 22455, 5654, 899, 267, 1577, 781, 2263, 922, 6909, 2634, 12741, 269, 1323, 12354, 22455, 814, 1614, 12271, 267, 4544, 1973, 267, 543, 835, 1292, 2634, 1107, 7168, 3579, 267, 1318, 286, 1717, 267, 972, 781, 1256, 811, 2469, 593, 3330, 922, 2212, 982, 1175, 602, 256, 3962, 6186, 3568, 9910, 1532, 23230, 1572, 14228, 20377, 267, 3850, 1142, 18215, 547, 957, 10446, 543, 4194, 2042, 676, 3294, 256, 5994, 952, 707, 7916, 1223, 1589, 585, 2933, 2439, 3383, 1946, 1281, 1373, 2111, 547, 1847, 543, 1966, 1606, 9876, 14350, 2339, 865, 1454, 585, 606, 12354, 22455, 286, 4270, 267, 2015, 713, 1383, 281, 4952, 596, 2811, 606, 12354, 22455, 3843, 547, 1930, 513, 20220, 2407, 540, 26345, 16152, 269, 2060, 707, 2178, 29186, 619, 543, 8465, 1560, 267, 596, 8936, 835, 6186, 547, 3180, 5196, 1945, 19756, 1247, 1776, 6186, 1568, 24091, 547, 6335, 1055, 519, 19984, 269, 11531, 267, 930, 540, 707, 824, 7916, 1832, 4585, 585, 1761, 6937, 7404, 269, 2353, 713, 1617, 527, 27965, 20502, 1175, 875, 15931, 543, 26227, 606, 12354, 22455, 5963, 568, 2439, 3719, 7227, 267, 972, 781, 811, 256, 3502, 1152, 798, 12354, 641, 4926, 4159, 11141, 2168, 905, 1846, 1813, 547, 741, 4987, 267, 855, 789, 849, 8858, 1950, 5615, 1419, 2404, 609, 2362, 3206, 1983, 269, 1280, 3236, 267, 3173, 723, 4767, 12354, 641, 4926, 1210, 2645, 899, 17310, 7387, 30556, 607, 24181, 610, 15720, 9634, 269, 13185, 827, 4199, 6888, 2439, 12914, 641, 4926, 666, 1256, 5431, 1367, 3425, 945, 1416, 585, 873, 538, 6864, 926, 4548, 269, 2368, 30157, 2671, 2984, 540, 4620, 12354, 641, 4926, 9301, 741, 5172, 1480, 2828, 1310, 3275, 6306, 543, 28551, 873, 27145, 2390, 2132, 269, 1924, 1985, 942, 596, 3643, 606, 16983, 267, 1491, 513, 4090, 547, 5660, 519, 5863, 5042, 5759, 540, 891, 8049, 1814, 1562, 2439, 1103, 3932, 267, 12354, 641, 4926, 2760, 24044, 547, 993, 10270, 721, 609, 741, 4230, 15929, 6457, 543, 1966, 9010, 7207, 269, 3245, 3001, 8238, 558, 3585, 547, 9001, 2200, 21176, 267, 891, 13755, 6804, 3083, 625, 6961, 602, 3006, 3168, 1114, 5012, 547, 5499, 3435, 269, 5808, 6487, 1018, 1007, 8906, 24098, 721, 607, 649, 3136, 1565, 827, 891, 2706, 5100, 2695, 1749, 540, 519, 2620, 286, 0, 2080, 568, 606, 1349, 689, 513, 2546, 281, 834, 2710, 4239, 22455, 5620, 717, 1571, 281, 4239, 641, 4926, 616, 30811, 543, 28430, 7068, 602, 9468, 519, 17909, 540, 938, 12084, 267, 9159, 519, 9345, 540, 7286, 12439, 543, 3744, 7567, 269, 2290, 540, 519, 10578, 3344, 540, 12354, 22455, 7350, 568, 741, 1505, 540, 19344, 563, 2414, 2626, 713, 2243, 267 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1677, 6820, 654, 9879, 267, 1715, 3194, 21909, 338, 454, 16829, 281, 4989, 476, 3066, 267, 476, 1001, 273, 0, 2177, 14877, 2098, 2207, 302, 27334, 289, 2177, 10396, 14877, 2098, 2207, 302, 27334, 289, 2177, 10396, 14877, 2098, 2207, 302, 27334, 289, 2177, 10396, 700, 312, 2098, 2207, 302, 27334, 289, 2177, 10396, 14877, 2098, 2207, 302, 27334, 289, 2177, 10396, 14877, 2098, 2207, 302, 454, 20041, 519, 5790, 563, 272, 269, 17547, 8380, 3327, 454, 25321, 309, 8991, 12778, 540, 1648, 454, 26903, 4750, 5239, 476, 1220, 280, 8693, 9197, 4875, 590, 31902, 898, 5455, 269, 8940, 8542, 1155, 2593, 30406, 270, 1220, 280, 270, 271, 3445, 275, 3066, 270, 21459, 270, 3393, 279, 11820, 275, 320, 11258, 25519, 1081, 568, 11562, 5896, 538, 2921, 10371, 2418, 607, 9072, 585, 3375, 6194, 269, 4263, 4380, 8879, 2910, 273, 9830, 616, 4867, 693, 476, 29496, 533, 4877, 6230, 1421, 663, 1256, 952, 649, 1223, 2322, 606, 1439, 547, 938, 5434, 1631, 267, 513, 521, 14184, 6824, 540, 2910, 273, 1131, 2611, 538, 519, 5790, 585, 27453, 630, 301, 520, 269, 3115, 269, 29725, 269, 7827, 476, 273, 267, 476, 14444, 1700, 15647, 282, 476, 1220, 279, 1040, 28791, 649, 1265, 513, 1259, 540, 647, 9535, 2910, 273, 856, 540, 519, 5790, 630, 16631, 476, 23283, 267, 476, 13679, 275, 1700, 13679, 276, 282, 476, 1220, 280, 1070, 13059, 547, 476, 12573, 533, 4877, 6230, 269, 1369, 513, 942, 1922, 9347, 602, 568, 4143, 547, 3375, 24237, 786, 581, 1134, 562, 662, 7543, 11053, 1173, 1115, 666, 782, 1932, 3362, 581, 1031, 547, 17854, 4797, 2825, 12159, 593, 519, 4493, 602, 621, 568, 1369, 606, 11807, 2039, 630, 26903, 476, 5379, 272, 267, 476, 4510, 278, 1700, 275, 4366, 282, 476, 1220, 280, 1040, 2334, 781, 2523, 3020, 540, 1279, 3856, 3853, 267, 4171, 8458, 540, 1373, 1558, 666, 1405, 581, 6027, 676, 1459, 6377, 7180, 563, 22897, 269, 2910, 273, 2011, 10868, 563, 2414, 723, 1022, 4960, 540, 16069, 2518, 8337, 689, 2810, 267, 6082, 1590, 1544, 547, 3247, 519, 5434, 540, 782, 1279, 9434, 630, 514, 519, 5790, 264, 8511, 9362, 269, 901, 568, 711, 7543, 267, 621, 1281, 711, 1611, 519, 1439, 540, 10340, 630, 29514, 2916, 1689, 1281, 1040, 2334, 781, 1317, 621, 568, 1175, 513, 2339, 540, 15175, 4066, 543, 6464, 547, 4642, 3327, 543, 1875, 6757, 8925, 602, 2291, 2907, 563, 2171, 616, 5143, 602, 547, 2569, 5434, 1131, 581, 1360, 14427, 269, 901, 568, 519, 7887, 2916, 1689, 9114, 856, 972, 543, 1034, 1004, 723, 15468, 585, 621, 563, 2005, 1131, 711, 1942, 4376, 269, 634, 5168, 568, 3384, 1022, 1007, 2029, 568, 513, 5458, 2804, 5818, 563, 763, 2518, 4642, 3327, 1646, 543, 556, 23923, 618, 1131, 581, 519, 6574, 2804, 543, 7694, 5818, 2479, 563, 2467, 568, 538, 1840, 513, 5458, 7525, 1942, 9494, 689, 16069, 519, 6757, 2011, 543, 1216, 5533, 540, 8093, 10173, 269, 634, 1942, 547, 938, 1072, 543, 689, 1072, 2126, 568, 11999, 563, 313, 3266, 12539, 3163, 547, 20023, 12539, 15863, 454, 273, 269, 3399, 2921, 3327, 454, 719, 540, 519, 5790, 563, 2414, 5512, 1022, 5786, 540, 2221, 781, 21472, 5834, 540, 11626, 3327, 8166, 543, 519, 1279, 3856, 32278, 540, 11626, 3327, 8166, 267, 519, 2257, 540, 4642, 3327, 5434, 7569, 513, 2698, 10682, 540, 782, 8093, 4492, 1648, 676, 2973, 4642, 3327, 543, 2479, 331, 8463, 1648, 269, 769, 513, 2262, 7503, 540, 519, 1158, 781, 1648, 3761, 563, 763, 3239, 689, 513, 7791, 1648, 1867, 676, 519, 2229, 540, 5125, 930, 1296, 3516, 2982, 602, 1169, 2707, 540, 7791, 1648, 666, 1683, 811, 982, 519, 1158, 781, 991, 540, 1648, 269, 634, 1867, 7229, 7791, 1648, 1761, 729, 476, 4968, 271, 2053, 982, 519, 1648, 10057, 676, 519, 1158, 563, 2690, 519, 2250, 476, 1789, 1296, 1875, 3766, 21194, 14540, 543, 21237, 6608, 723, 15469, 519, 5726, 540, 1648, 267, 799, 15069, 1590, 4755, 269, 10251, 1282, 519, 13319, 540, 2479, 3467, 519, 3677, 8093, 4492, 1648, 10438, 4066, 267, 1648, 7503, 5726, 814, 1500, 2370, 3356, 267, 1256, 1498, 782, 519, 2409, 547, 798, 865, 723, 1044, 2139, 585, 513, 942, 563, 763, 17888, 1935, 547, 2569, 3327, 5434, 568, 519, 5786, 538, 3327, 8515, 267, 799, 568, 606, 1648, 5726, 13461, 593, 1648, 4398, 1935, 269, 1809, 621, 568, 7543, 547, 3035, 4642, 3327, 1100, 2339, 875, 3811, 649, 616, 538, 5355, 8093, 4492, 1648, 4398, 269, 1548, 538, 4890, 1249, 814, 1044, 8345, 607, 513, 1267, 540, 2810, 568, 602, 2518, 5434, 723, 2799, 1390, 3327, 8515, 269, 713, 568, 1317, 5355, 3327, 8515, 814, 1100, 1198, 593, 14051, 8093, 4492, 1648, 543, 4066, 602, 946, 8093, 4492, 1648, 563, 3383, 649, 723, 547, 723, 1312, 5726, 540, 1648, 543, 7503, 540, 1648, 563, 20288, 23667, 910, 898, 568, 3622, 5156, 602, 649, 666, 1491, 3327, 8166, 856, 540, 519, 5790, 676, 9544, 811, 7733, 269, 10251, 585, 519, 6604, 540, 2518, 2916, 31685, 267, 713, 568, 513, 10151, 3070, 269, 634, 3327, 4783, 11414, 721, 602, 519, 18714, 3327, 4783, 3322, 15591, 540, 3039, 2371, 2921, 3327, 8166, 856, 540, 519, 5790, 269, 674, 30480, 621, 607, 3327, 585, 1648, 946, 543, 2030, 2208, 630, 663, 538, 519, 1184, 16089, 5135, 547, 519, 2011, 1040, 1809, 713, 568, 1175, 835, 3368, 540, 519, 3327, 4783, 910, 519, 824, 3368, 4386, 950, 2371, 9178, 543, 5884, 543, 1287, 519, 3327, 568, 8120, 547, 519, 5790, 607, 3327, 8166, 269, 3683, 519, 1279, 2165, 519, 3327, 568, 1175, 13381, 269, 5983, 7370, 798, 711, 16173, 3327, 7989, 600, 1836, 4849, 676, 4742, 8093, 3327, 630, 30669, 1916, 1103, 519, 6516, 1657, 2451, 972, 616, 1079, 1648, 2959, 3769, 602, 2269, 9536, 548, 519, 4642, 3327, 1648, 543, 3327, 32749, 1648, 7941, 563, 301, 13086, 1648, 568, 835, 269, 17437, 1379, 5108, 1281, 711, 12520, 3327, 8166, 607, 513, 12343, 540, 1648, 5108, 269, 3327, 8166, 2460, 540, 6046, 1379, 568, 538, 519, 4070, 693, 519, 1379, 2030, 269, 4014, 519, 11685, 547, 6046, 1648, 538, 2489, 814, 17808, 741, 4070, 267, 596, 2087, 5481, 540, 6046, 1648, 2523, 1507, 8397, 6046, 1648, 18402, 12520, 1360, 1454, 1447, 3327, 8166, 538, 519, 4070, 543, 789, 616, 849, 10930, 269, 15069, 519, 2856, 1232, 2174, 2153, 532, 4540, 6046, 1648, 2371, 8259, 606, 1367, 2030, 568, 1336, 547, 581, 1412, 296, 6415, 2922, 547, 7500, 262, 2306, 1100, 2631, 585, 19086, 2518, 2916, 1689, 269, 634, 1279, 8573, 7342, 6046, 1648, 1544, 13978, 538, 5106, 519, 1447, 568, 519, 3327, 11640, 540, 519, 1379, 2371, 10715, 269, 1403, 519, 6046, 1648, 1544, 568, 3144, 856, 540, 10243, 593, 519, 4493, 540, 1857, 10182, 543, 602, 1804, 2179, 540, 1648, 568, 8719, 676, 5755, 30187, 1648, 513, 1804, 2179, 540, 4642, 3327, 1648, 814, 1044, 8719, 676, 519, 5207, 3327, 32749, 2707, 540, 1648, 269, 634, 2063, 2262, 568, 602, 972, 568, 1100, 1981, 540, 6046, 1648, 5108, 21006, 10340, 10678, 8103, 543, 10678, 1034, 1272, 593, 3047, 269, 8033, 5224, 609, 5755, 30187, 5108, 786, 1034, 6157, 798, 602, 563, 18693, 558, 817, 1648, 568, 519, 824, 1648, 2707, 538, 519, 6516, 2269, 9536, 1782, 4642, 3327, 267, 4642, 32749, 563, 23530, 7353, 19661, 545, 666, 454, 1889, 564, 476, 1911, 260, 1158, 1648, 454, 12047, 663, 609, 1447, 982, 476, 272, 14999, 16447, 781, 2244, 269, 13431, 293, 3967, 476, 1001, 274, 454, 300, 3951, 814, 5462, 24232, 1648, 1761, 568, 2362, 676, 9753, 540, 9588, 982, 1158, 946, 563, 1001, 273, 1382, 9060, 972, 568, 2614, 2842, 1648, 1761, 547, 1379, 519, 1158, 1896, 2053, 936, 563, 20751, 476, 3393, 7643, 267, 519, 3047, 11392, 2614, 3859, 1648, 547, 4628, 2743, 519, 1158, 779, 3003, 1648, 2115, 585, 602, 1554, 563, 13328, 7791, 1648, 6820, 6052, 8416, 0, 299, 525, 15487, 1143, 729, 1634, 607, 835, 540, 4638, 24017, 538, 519, 6259, 2146, 538, 840, 268, 26576, 545, 5736, 10371, 898, 568, 2693, 602, 930, 540, 24139, 1143, 593, 519, 15518, 566, 540, 6259, 10462, 630, 3725, 539, 18301, 2494, 987, 4275, 538, 12925, 693, 513, 3845, 540, 2947, 12919, 5045, 540, 27173, 17304, 543, 519, 1004, 540, 519, 10271, 264, 7902, 519, 1101, 3364, 602, 7153, 689, 519, 10539, 538, 2474, 540, 17195, 538, 519, 5493, 2167, 540, 2494, 987, 4275, 269, 21965, 6068, 13130, 519, 8250, 540, 715, 340, 685, 2006, 8633, 267, 3751, 540, 10539, 630, 276, 3199, 268, 2568, 273, 544, 269, 2991, 519, 2669, 540, 1200, 9393, 2311, 571, 696, 543, 513, 8004, 27694, 267, 1634, 538, 922, 2012, 1070, 513, 2098, 541, 32142, 1325, 312, 600, 600, 1695, 630, 572, 518, 585, 1310, 513, 4807, 689, 570, 11047, 267, 808, 611, 529, 729, 5143, 621, 729, 519, 5813, 3364, 540, 519, 15292, 540, 1614, 2395, 543, 29041, 676, 1383, 267, 968, 296, 1294, 519, 4544, 798, 557, 968, 264, 543, 19300, 752, 15925, 269, 670, 1168, 8636, 729, 519, 1101, 4807, 538, 519, 6259, 4807, 269, 3973, 621, 3262, 24139, 1143, 1851, 2021, 563, 1103, 519, 5736, 540, 519, 2836, 13023, 622, 543, 519, 1325, 636, 599, 344, 611, 1974, 543, 609, 519, 7287, 547, 723, 26697, 24139, 1143, 2442, 1242, 538, 519, 2749, 269, 898, 568, 1767, 602, 3377, 540, 621, 6603, 1250, 20122, 773, 1325, 24703, 2088, 630, 320, 4807, 561, 755, 995, 1166, 1563, 609, 6107, 5030, 538, 519, 942, 950, 3057, 9774, 16481, 333, 620, 6953, 752, 600, 729, 620, 323, 9007, 540, 519, 2749, 10371, 6026, 2021, 634, 1148, 540, 6612, 328, 789, 1572, 1200, 18832, 543, 606, 324, 1352, 1185, 1082, 22888, 1256, 538, 519, 2063, 1032, 6040, 10371, 543, 29041, 676, 606, 1383, 538, 6107, 729, 5143, 968, 7224, 6107, 568, 899, 20122, 773, 9232, 264, 14406, 547, 519, 2021, 540, 519, 2749, 543, 1767, 547, 873, 281, 968, 296, 4862, 4547, 1945, 1007, 1694, 1572, 15776, 15487, 1143, 1744, 752, 609, 621, 596, 5372, 812, 1848, 789, 5143, 1200, 281, 968, 1607, 568, 711, 519, 2495, 267, 855, 621, 568, 1732, 982, 513, 18052, 538, 799, 519, 29317, 1848, 2701, 1767, 281, 9232, 798, 711, 18174, 539, 676, 324, 519, 632, 21082, 585, 2367, 3034, 1103, 519, 2806, 21353, 573, 5736, 267, 799, 930, 3173, 1289, 519, 4638, 1686, 540, 519, 29240, 267, 968, 1492, 5736, 540, 3023, 2223, 543, 607, 972, 941, 7125, 689, 4638, 26697, 610, 547, 32270, 267, 814, 7153, 513, 1007, 1895, 540, 2021, 10912, 585, 519, 15776, 15487, 1143, 1744, 752, 269, 1809, 519, 6370, 1063, 3023, 543, 24139, 1143, 269, 2368, 2021, 1376, 2348, 26697, 543, 4043, 547, 24139, 1143, 267, 543, 1866, 1376, 609, 24139, 1143, 547, 26697, 267, 543, 581, 538, 24139, 1143, 568, 2356, 538, 4638, 26697, 281, 6068, 267, 24158, 267, 543, 960, 593, 1142, 543, 3083, 2305, 14031, 865, 607, 547, 581, 11807, 269, 1306, 789, 2322, 519, 26697, 543, 7091, 3912, 2010, 2081, 267, 1306, 1134, 607, 2322, 28972, 547, 1744, 752, 538, 875, 547, 581, 15776, 321, 2103, 1547, 901, 729, 519, 8551, 267, 4553, 5702, 538, 519, 3638, 18211, 7100, 267, 2864, 982, 538, 519, 2539, 5049, 269, 769, 519, 2539, 5049, 1919, 941, 711, 27507, 540, 5175, 3258, 640, 693, 2053, 563, 1103, 519, 1433, 540, 630, 6826, 327, 3023, 264, 689, 513, 5256, 24139, 1143, 269, 769, 519, 1433, 513, 17552, 5371, 630, 288, 14265, 1047, 609, 6068, 3283, 264, 585, 590, 2742, 565, 10822, 962, 320, 27256, 10822, 2806, 21353, 21185, 4754, 945, 723, 5747, 538, 476, 6872, 277, 589, 295, 1107, 272, 476, 5197, 5084, 267, 2854, 676, 519, 13584, 540, 519, 32595, 1627, 559, 326, 707, 26512, 25234, 337, 16481, 333, 918, 4673, 1488, 16435, 534, 267, 519, 5067, 540, 6424, 5484, 4787, 2006, 10822, 6650, 1721, 622, 267, 543, 1118, 621, 538, 1079, 2694, 267, 13991, 3848, 17886, 547, 2446, 519, 2601, 538, 519, 9258, 2368, 1004, 7195, 321, 1695, 827, 519, 2067, 1576, 267, 543, 930, 17079, 13283, 8797, 7911, 593, 519, 1699, 543, 519, 13283, 540, 930, 715, 529, 9774, 11493, 269, 1306, 1134, 607, 538, 519, 1433, 968, 320, 3802, 737, 1716, 1564, 609, 4986, 538, 519, 1433, 892, 30277, 10822, 1411, 572, 325, 16816, 822, 2444, 515, 21185, 4754, 546, 269, 476, 4792, 272, 661, 1107, 476, 10219, 274, 269, 634, 10564, 267, 543, 2278, 540, 968, 1345, 24886, 2108 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 320, 27430, 6889, 10059, 2517, 4178, 6983, 25699, 2593, 270, 1708, 271, 270, 6349, 270, 2918, 270, 27700, 270, 13582, 5264, 3766, 553, 15041, 3827, 3146, 18571, 27651, 11258, 257, 3077, 6889, 318, 29734, 22969, 338, 904, 9572, 320, 285, 519, 1657, 834, 6312, 1181, 6585, 3020, 538, 2477, 1141, 1004, 6140, 5397, 269, 898, 2731, 5673, 593, 519, 2197, 543, 7082, 2623, 972, 1701, 9572, 335, 12481, 335, 285, 763, 3173, 2328, 602, 713, 1032, 7146, 8584, 28451, 1279, 1353, 24864, 1394, 593, 3105, 1382, 602, 6811, 2228, 10918, 547, 581, 1732, 538, 2474, 540, 23435, 294, 29066, 27135, 335, 12481, 335, 2511, 6889, 332, 1173, 514, 268, 3847, 281, 476, 736, 29210, 282, 22969, 257, 5445, 723, 267, 2705, 267, 3379, 519, 23435, 294, 5434, 829, 10918, 2680, 543, 1705, 711, 2015, 519, 3095, 1063, 519, 10685, 9055, 543, 519, 11127, 2450, 267, 799, 5012, 547, 513, 1114, 3932, 982, 602, 540, 519, 1699, 1353, 1701, 9572, 335, 12481, 335, 285, 15697, 10685, 568, 1141, 13418, 959, 7927, 1604, 281, 1004, 4043, 547, 1931, 835, 6221, 693, 513, 942, 950, 10918, 593, 6986, 6345, 4609, 267, 6466, 789, 6006, 909, 593, 2789, 3688, 950, 9683, 513, 4558, 269, 3117, 28366, 786, 3006, 1931, 513, 1297, 540, 5094, 3688, 936, 519, 1576, 540, 513, 3018, 2864, 982, 1818, 835, 7552, 547, 6718, 3388, 789, 991, 269, 21742, 335, 12481, 335, 285, 4407, 3039, 532, 3646, 676, 2228, 21625, 616, 1271, 267, 2394, 513, 6521, 538, 7082, 10182, 2242, 267, 519, 1699, 3327, 11640, 786, 581, 513, 2182, 21677, 547, 7753, 269, 8835, 568, 3843, 547, 723, 621, 1312, 2081, 1765, 21666, 6954, 543, 13418, 29279, 11652, 519, 2979, 3884, 1405, 4946, 909, 269, 1403, 596, 991, 547, 1931, 1919, 267, 798, 621, 2228, 267, 855, 2119, 547, 19597, 622, 707, 16306, 607, 1454, 607, 2009, 27135, 335, 12481, 335, 285, 734, 9572, 335, 12481, 335, 12481, 655, 285, 26835, 538, 5905, 609, 667, 699, 330, 593, 2999, 320, 27430, 6889, 10674, 2517, 4178, 6745, 342, 7867, 2593, 7933, 699, 330, 2041, 637, 257, 3077, 6889, 318, 29734, 22969, 23562, 7867, 9572, 320, 285, 267, 2999, 320, 27430, 6889, 10059, 2517, 4178, 269, 2183, 1504, 2593, 22230, 699, 330, 6826, 637, 25346, 1260, 257, 3077, 6889, 318, 29734, 22969, 293, 864, 1504, 9572, 320, 285, 543, 2999, 320, 27430, 6889, 10059, 2517, 323, 699, 330, 2041, 637, 16553, 23637, 2593, 270, 257, 3077, 6889, 318, 29734, 22969, 8138, 23637, 9572, 320, 20101, 3571, 1985, 1433, 568, 9572, 655, 285, 834, 283, 655, 285, 295, 3266, 781, 667, 846, 281, 634, 8865, 1280, 623, 1910, 32676, 923, 538, 681, 3770, 543, 10657, 1701, 9572, 655, 20565, 335, 11417, 32247, 12150, 3207, 538, 1453, 729, 2404, 609, 2618, 5328, 2833, 538, 18273, 267, 2687, 547, 513, 2487, 1353, 856, 540, 519, 2160, 540, 27257, 781, 3427, 540, 10017, 269, 0, 14187, 27450, 623, 275, 297, 9462, 30904, 454, 8702, 547, 519, 12729, 476, 275, 9754, 269, 5620, 513, 1413, 693, 930, 540, 519, 818, 974, 30440, 2630, 912, 19350, 616, 519, 4247, 585, 13628, 563, 6637, 476, 1724, 630, 1492, 3803, 3184, 14386, 540, 2048, 305, 30689, 593, 519, 681, 2086, 720, 685, 814, 1044, 23345, 547, 30581, 269, 594, 4126, 596, 10150, 6217, 519, 1433, 269, 5620, 513, 1589, 827, 519, 2055, 2630, 912, 268, 9894, 519, 1433, 723, 606, 2500, 10678, 286, 11512, 707, 2626, 563, 268, 6904, 851, 540, 519, 1433, 1705, 596, 899, 519, 1655, 286, 4208, 888, 268, 1403, 596, 1223, 27682, 519, 10678, 267, 875, 1131, 519, 1650, 1439, 888, 268, 5808, 1131, 596, 4363, 713, 1433, 547, 888, 299, 15660, 1284, 616, 1565, 547, 3533, 543, 8308, 11291, 8691, 5013, 563, 291, 2905, 27450, 7420, 281, 3432, 339, 1963, 268, 273, 630, 272, 994, 300, 843, 281, 2347, 835, 3432, 3349, 563, 8967, 5390, 281, 2347, 1079, 3432, 7515, 563, 31640, 281, 2347, 1079, 3432, 3349, 267, 942, 1142, 835, 543, 2119, 547, 10726, 707, 1101, 942, 563, 299, 15660, 1107, 1284, 616, 1565, 547, 1265, 519, 1942, 540, 2789, 3688, 543, 960, 856, 519, 1689, 563, 291, 2905, 13174, 17130, 281, 7994, 513, 28306, 328, 4161, 689, 519, 1592, 2630, 912, 300, 843, 281, 623, 15014, 476, 18231, 454, 8967, 5390, 281, 623, 15014, 476, 30116, 454, 31640, 281, 623, 15014, 476, 28434, 454, 299, 15660, 281, 1284, 616, 1565, 547, 1174, 875, 543, 950, 547, 946, 19980, 1886, 1127, 547, 1397, 15896, 563, 291, 2905, 17402, 17130, 281, 7427, 519, 3095, 543, 2347, 11314, 476, 274, 912, 8855, 547, 1224, 513, 1433, 540, 707, 3903, 585, 12257, 1169, 1554, 585, 476, 1789, 3764, 563, 299, 15660, 281, 1284, 616, 1565, 547, 946, 818, 974, 30440, 547, 1451, 827, 519, 2250, 563, 307, 8084, 17130, 281, 7427, 519, 3095, 2630, 547, 1451, 827, 519, 14564, 538, 6628, 912, 307, 2532, 281, 1284, 723, 2813, 513, 12729, 476, 275, 9754, 540, 818, 974, 30440, 547, 2995, 721, 827, 4936, 1686, 269, 1284, 723, 930, 4190, 19821, 923, 267, 2178, 6186, 712, 543, 2143, 3631, 540, 4936, 3889, 269, 1717, 267, 950, 818, 974, 30440, 616, 7363, 5116, 538, 513, 9754, 267, 8436, 666, 1224, 513, 2110, 1344, 3556, 547, 1265, 856, 811, 827, 621, 269, 2659, 4305, 568, 547, 2328, 513, 9754, 1344, 3556, 547, 581, 3773, 547, 707, 818, 974, 2399, 689, 2063, 3018, 563, 268, 2659, 9754, 3556, 1058, 581, 827, 3368, 513, 2985, 540, 589, 275, 1957, 563, 268, 12729, 476, 275, 1875, 268, 10864, 582, 328, 1963, 630, 18484, 1406, 7340, 707, 25777, 13002, 26695, 268, 15681, 519, 5467, 1141, 519, 818, 974, 2399, 729, 1336, 563, 268, 15681, 519, 5467, 827, 519, 1826, 540, 1268, 945, 11262, 519, 818, 974, 2399, 563, 268, 15681, 519, 5467, 1018, 519, 818, 974, 2399, 1131, 723, 1044, 1031, 585, 563, 299, 15660, 281, 1284, 616, 1565, 547, 1020, 938, 8516, 563, 291, 2905, 623, 9950, 17130, 281, 3442, 513, 3232, 4305, 547, 4161, 3054, 2336, 2252, 596, 666, 1406, 1569, 1022, 540, 519, 6402, 610, 723, 1022, 2055, 267, 5225, 2307, 593, 30581, 9462, 30904, 454, 5970, 513, 17681, 13628, 808, 18804, 808, 580, 16744, 335, 32332, 9462, 30904, 0, 18871, 8707, 23531, 4939, 1475, 21206, 10049, 3131, 18741, 334, 2008, 347, 24109, 7190, 1475, 1724, 1475, 24791, 3852, 495, 1475, 1428, 269, 1822, 594, 308, 2008, 347, 13707, 21193, 4088, 748, 15240, 1734, 1475, 1626, 1475, 24791, 269, 667, 274, 1475, 274, 269, 1822, 594, 308, 2008, 347, 13707, 11041, 267, 9600, 1475, 274, 1475, 24791, 269, 661, 1475, 1839, 8406, 2008, 347, 13707, 17316, 9317, 15240, 1734, 1475, 279, 267, 274, 1475, 293, 518, 5300, 1475, 1839, 8406, 2008, 347, 13707, 12891, 1475, 279, 1475, 300, 22462, 3150, 267, 1475, 2004, 8406, 2008, 763, 3049, 568, 2016, 547, 5144, 2504, 16933, 269, 634, 2179, 540, 3049, 568, 5462, 676, 519, 13184, 3942, 630, 323, 787, 1974, 267, 5144, 2504, 267, 3092, 13776, 519, 1560, 2597, 540, 2831, 543, 519, 1377, 540, 2504, 563, 4263, 519, 4098, 540, 3049, 26587, 2027, 1416, 1058, 581, 3144, 547, 7930, 740, 320, 1632, 547, 519, 3049, 676, 519, 16933, 269, 634, 1459, 3049, 568, 2016, 538, 14966, 609, 21432, 3662, 3049, 610, 2831, 602, 2097, 856, 693, 27892, 269, 634, 3049, 1058, 581, 3323, 476, 1015, 2395, 1354, 649, 22135, 269, 901, 3049, 1281, 711, 2270, 3662, 7912, 543, 11955, 269, 0, 23430, 540, 3047, 3590, 3163, 454, 17471, 1279, 24331, 3114, 12331, 9599, 538, 513, 476, 274, 5937, 7998, 3560, 2203, 281, 31854, 2214, 8879, 715, 454, 268, 8191, 4433, 2567, 670, 24175, 267, 9947, 334, 454, 268, 2398, 1430, 267, 7812, 808, 454, 268, 1696, 620, 563, 13775, 5680, 19715, 10059, 2517, 8742, 3820, 270, 1015, 269, 9083, 280, 270, 1220, 280, 21923, 271, 5655, 25838, 454, 763, 1079, 13074, 24331, 267, 2101, 3114, 3210, 3270, 630, 324, 3394, 332, 3941, 264, 540, 519, 5790, 267, 23993, 715, 273, 302, 543, 8863, 275, 267, 616, 4857, 609, 519, 772, 5746, 7998, 20675, 1636, 2203, 1210, 513, 5276, 1242, 630, 301, 273, 302, 267, 12971, 586, 2073, 744, 274, 267, 8863, 275, 267, 670, 273, 302, 9984, 17882, 585, 14404, 2214, 8879, 7998, 543, 9138, 7708, 1842, 335, 8879, 9271, 269, 1306, 538, 3105, 476, 272, 291, 543, 476, 273, 291, 2090, 267, 891, 2540, 17489, 476, 274, 291, 13502, 1397, 602, 519, 552, 1922, 13783, 9178, 942, 540, 513, 715, 273, 302, 32677, 566, 630, 332, 1712, 268, 272, 281, 476, 10482, 269, 275, 586, 264, 3361, 676, 513, 13942, 12998, 540, 715, 273, 302, 568, 476, 1015, 26188, 10156, 982, 519, 715, 273, 302, 11626, 10715, 630, 14093, 269, 273, 586, 1040, 901, 7154, 268, 272, 666, 849, 581, 9599, 676, 8863, 275, 655, 3827, 1813, 547, 8863, 275, 14114, 274, 14404, 2214, 8879, 7998, 281, 513, 13942, 12998, 540, 476, 1911, 570, 326, 8863, 275, 5932, 513, 1341, 271, 269, 272, 570, 326, 715, 273, 302, 32677, 566, 538, 7154, 268, 272, 609, 513, 476, 10482, 3917, 337, 552, 1922, 13783, 9178, 942, 267, 3976, 2810, 519, 8863, 275, 2518, 8337, 1761, 676, 476, 272, 269, 273, 10065, 20290, 782, 540, 519, 476, 1911, 570, 326, 8863, 275, 5526, 538, 7154, 268, 273, 630, 1015, 269, 272, 586, 1040, 0, 16248, 18873, 540, 9198, 13920, 454, 2750, 3250, 532, 538, 519, 11419, 540, 4758, 454, 3080, 540, 519, 1034, 3532, 1806, 540, 28908, 538, 23075, 568, 1336, 538, 519, 19980, 548, 6754, 779, 2034, 4484, 547, 519, 5939, 538, 519, 2749, 540, 29833, 269, 769, 519, 6679, 18627, 540, 3848, 476, 279, 267, 6754, 1463, 338, 519, 3007, 540, 519, 10271, 538, 29833, 547, 519, 1383, 540, 519, 10271, 538, 24765, 8205, 267, 543, 646, 10416, 3081, 267, 968, 10287, 741, 1383, 3034, 26469, 10741, 3848, 476, 279, 609, 891, 1913, 281, 968, 4517, 1631, 267, 14552, 543, 19946, 267, 649, 1616, 596, 547, 917, 827, 519, 11419, 602, 2696, 814, 2016, 519, 24765, 20897, 13039, 269, 769, 519, 22984, 540, 513, 1360, 4049, 4693, 267, 741, 24492, 532, 7772, 543, 741, 3665, 6710, 1134, 539, 909, 538, 3638, 28908, 892, 630, 273, 29833, 2103, 476, 279, 281, 272, 268, 273, 1916, 2414, 8275, 519, 1379, 540, 6754, 779, 1913, 267, 596, 723, 547, 1174, 519, 6381, 540, 519, 24765, 20897, 21071, 269, 6754, 1767, 789, 941, 7680, 968, 320, 1360, 4049, 4693, 1848, 634, 4693, 789, 11402, 729, 899, 513, 11493, 2604, 3361, 676, 513, 4999, 540, 741, 6710, 543, 20655, 563, 763, 968, 335, 20191, 892, 891, 21071, 4810, 729, 865, 3983, 602, 649, 1522, 1226, 622, 621, 547, 18644, 4224, 5377, 269, 8616, 267, 5103, 741, 6710, 543, 20655, 267, 891, 10271, 941, 4904, 609, 968, 1478, 6503, 532, 7772, 892, 602, 968, 6202, 539, 909, 538, 3638, 28908, 1848, 15439, 2322, 267, 519, 24765, 517, 2103, 685, 24492, 532, 7772, 8507, 538, 24492, 532, 28908, 563, 1692, 568, 602, 1256, 2009, 286, 3689, 267, 621, 729, 2009, 1317, 789, 1185, 7680, 519, 13321, 1379, 540, 2696, 779, 11419, 269, 7638, 572, 476, 272, 6645, 721, 827, 519, 11419, 2696, 1185, 2016, 547, 519, 24765, 20897, 13039, 269, 5822, 267, 789, 11967, 538, 2696, 779, 22556, 269, 1358, 5156, 2696, 267, 3972, 532, 538, 3571, 5132, 6888, 543, 2702, 547, 2743, 741, 1378, 2115, 269, 13298, 982, 12561, 513, 20317, 14820, 267, 789, 17947, 606, 11606, 14820, 602, 1134, 539, 909, 538, 7772, 543, 28908, 563, 2467, 514, 6013, 938, 1101, 3992, 269, 1924, 1419, 649, 2490, 938, 1445, 27808, 950, 649, 3068, 2042, 269, 1809, 519, 24765, 20897, 21071, 5828, 741, 1445, 21286, 4724, 1866, 269, 2696, 6905, 11419, 547, 873, 267, 543, 1287, 789, 6905, 11419, 547, 1866, 998, 741, 24492, 532, 28908, 269, 6754, 4769, 1406, 3247, 972, 269, 1261, 4797, 676, 10503, 1175, 875, 1454, 519, 24765, 517, 2103, 685, 7772, 24492, 539, 538, 28908, 563, 2108, 2690, 594, 1449, 1518, 602, 789, 5795, 607, 1454, 607, 789, 941, 2111, 267, 543, 1256, 3564, 741, 2702, 269, 9980, 790, 569, 593, 741, 1378, 267, 789, 2712, 326, 1836, 5418, 12184, 609, 721, 585, 519, 17979, 540, 4687, 538, 713, 3028, 547, 519, 7083, 779, 1004, 269, 1656, 789, 25295, 938, 6788, 281, 1358, 5795, 2933, 1101, 540, 782, 547, 519, 7083, 267, 543, 1287, 676, 519, 786, 540, 2696, 849, 547, 721 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 942, 950, 1034, 540, 2221, 779, 3621, 1702, 568, 2813, 538, 1382, 2516, 267, 519, 2278, 556, 4621, 11107, 519, 1514, 1915, 540, 2257, 547, 2232, 519, 2243, 540, 2436, 29050, 2813, 1702, 1058, 581, 2808, 607, 7104, 9740, 267, 543, 952, 865, 267, 538, 799, 2631, 269, 26157, 10952, 2079, 609, 12007, 12170, 14374, 267, 713, 1433, 2488, 513, 13354, 2013, 1353, 540, 1395, 334, 268, 543, 15834, 1382, 2516, 267, 5356, 5813, 883, 519, 1554, 3562, 6377, 2259, 540, 3744, 269, 634, 1433, 2882, 2361, 7422, 543, 11042, 609, 3744, 547, 1459, 606, 10686, 1227, 268, 3033, 539, 5133, 593, 1454, 11546, 321, 730, 2055, 7282, 1382, 2516, 685, 6498, 540, 4074, 267, 1894, 540, 19815, 2438, 13829, 543, 3972, 563, 292, 767, 2088, 2725, 345, 531, 2088, 3400, 584, 454, 17359, 7956, 12232, 5487, 929, 15530, 775, 632, 3288, 544, 18863, 7469, 648, 862, 324, 23314, 5042, 1696, 862, 324, 23314, 8231, 1446, 546, 753, 561, 685, 525, 10628, 632, 3288, 2792, 4480, 1696, 2172, 604, 1664, 1609, 11552, 20527, 341, 2064, 1167, 27641, 269, 3474, 682, 536, 807, 529, 632, 844, 601, 13196, 7422, 267, 524, 564, 2376, 694, 15974, 632, 10411, 745, 790, 3288, 24235, 632, 21244, 32511, 340, 7315, 13276, 517, 3288, 638, 16279, 3288, 544, 18863, 7469, 648, 1609, 796, 2379, 10360, 14734, 16725, 26982, 575, 23662, 928, 682, 544, 27475, 964, 818, 974, 30440, 1208, 1622, 1696, 546, 685, 514, 1203, 528, 1512, 536, 686, 11726, 22777, 8350, 535, 517, 2388, 26955, 1084, 1132, 1612, 13767, 548, 268, 857, 546, 753, 682, 544, 27475, 2172, 604, 1664, 1696, 964, 562, 537, 767, 956, 4066, 563, 17359, 7956, 12232, 901, 2376, 12857, 547, 519, 21044, 9165, 543, 519, 4930, 540, 713, 2027, 3390, 543, 621, 6941, 930, 1271, 2165, 514, 1670, 21441, 540, 519, 17685, 8590, 1382, 2361, 269, 634, 2949, 2832, 540, 713, 3390, 568, 547, 2263, 519, 32032, 2081, 547, 4019, 543, 547, 2992, 2390, 12007, 1382, 2409, 538, 519, 2796, 540, 17685, 8590, 2792, 269, 901, 10522, 1312, 513, 4901, 540, 9758, 4162, 540, 17685, 8590, 12007, 1382, 607, 1134, 607, 8942, 547, 2697, 1455, 2934, 543, 3095, 1137, 540, 713, 2027, 1858, 609, 811, 2489, 4612, 894, 1382, 5389, 896, 519, 834, 3518, 20255, 257, 540, 12007, 1514, 1382, 269, 772, 305, 301, 281, 2712, 333, 281, 333, 16818, 281, 1372, 281, 18733, 275, 1922, 336, 338, 271, 3445, 16328, 273, 454, 17359, 7956, 12232, 769, 4873, 476, 1220, 275, 267, 606, 4274, 17130, 10414, 267, 12912, 676, 519, 2817, 3194, 7027, 4516, 543, 669, 8529, 676, 3220, 269, 6424, 16200, 267, 3357, 1927, 538, 31747, 547, 1544, 513, 2817, 17072, 607, 519, 1445, 540, 519, 2817, 13693, 566, 593, 7457, 547, 11660, 3194, 4578, 269, 634, 17072, 267, 799, 729, 4371, 538, 5437, 476, 1220, 275, 267, 4547, 1927, 811, 982, 29235, 8225, 3401, 538, 3621, 1382, 267, 1239, 2359, 267, 1382, 7245, 267, 7214, 3959, 543, 824, 22317, 2127, 269, 901, 2376, 6799, 513, 3102, 2689, 540, 519, 2152, 267, 543, 519, 3255, 543, 519, 2591, 4857, 1282, 519, 17072, 269, 13216, 543, 3638, 14249, 540, 3621, 12240, 616, 4657, 875, 1382, 568, 5342, 267, 3432, 532, 519, 6602, 543, 5137, 540, 1007, 2035, 269, 16842, 1569, 786, 17108, 971, 2242, 1256, 811, 267, 2870, 824, 1007, 3255, 269, 2060, 519, 4999, 540, 12240, 1369, 543, 1851, 10459, 543, 2477, 267, 4909, 682, 2355, 538, 1702, 786, 2049, 602, 786, 2981, 938, 1620, 540, 1272, 267, 519, 1158, 543, 519, 7122, 269, 634, 8225, 1382, 2146, 568, 7255, 676, 519, 991, 547, 1491, 16190, 2962, 547, 3082, 547, 519, 8101, 2242, 2838, 676, 519, 3621, 13055, 269, 5221, 1100, 3084, 1239, 11091, 3919, 6818, 267, 949, 4966, 3494, 602, 513, 3084, 4640, 593, 1239, 1569, 610, 4507, 2115, 547, 581, 2919, 267, 543, 602, 513, 834, 10574, 17130, 10414, 257, 581, 2813, 547, 5965, 513, 2407, 3084, 6388, 4640, 269, 4495, 971, 513, 3084, 4640, 568, 17618, 6462, 267, 621, 568, 6069, 602, 513, 6131, 3084, 5989, 267, 17895, 8271, 1572, 834, 10574, 4516, 2580, 581, 3964, 267, 547, 8263, 2949, 5718, 538, 519, 1646, 543, 11056, 540, 513, 7580, 1544, 563, 3725, 344, 267, 667, 269, 1496, 306, 663, 807, 2817, 6997, 1421, 19186, 340, 20960, 4302, 267, 28679, 630, 18197, 2276, 5148, 24138, 267, 654, 269, 1496, 6124, 6792, 3557, 1133, 643, 1421, 20098, 14265, 806, 267, 28679, 630, 18197, 2276, 5148, 17664, 267, 631, 563, 288, 1505, 585, 811, 7561, 9001, 519, 4908, 19961, 21248, 585, 1239, 6771, 568, 4843, 269, 7351, 2230, 543, 2039, 2792, 1949, 946, 25244, 543, 8193, 14565, 602, 10141, 476, 271, 269, 276, 547, 476, 272, 269, 271, 11353, 829, 2034, 829, 670, 1068, 345, 540, 5925, 4908, 19961, 269, 634, 3804, 538, 713, 700, 11403, 291, 1788, 568, 547, 2333, 519, 19961, 13345, 676, 14139, 4359, 3059, 10618, 2553, 269, 901, 568, 2944, 609, 2370, 610, 1100, 2333, 538, 519, 10141, 1379, 799, 568, 2356, 1360, 3908, 593, 23197, 1949, 269, 1855, 5446, 609, 1715, 6792, 3557, 2160, 267, 606, 6388, 540, 1726, 961, 529, 27573, 25244, 630, 12839, 300, 1070, 513, 8193, 543, 25244, 10325, 10660, 1229, 676, 772, 978, 518, 2692, 324, 1188, 267, 729, 2919, 585, 713, 3498, 543, 20533, 593, 513, 2780, 269, 570, 13967, 2488, 513, 1797, 585, 28761, 23142, 1239, 1247, 8195, 2810, 19961, 4398, 269, 634, 15163, 568, 2799, 17513, 6988, 269, 769, 1880, 267, 519, 1726, 961, 529, 1232, 18344, 3340, 1164, 18286, 267, 3498, 10391, 3059, 5365, 4393, 630, 9169, 303, 264, 13365, 269, 589, 1062, 3070, 1759, 593, 519, 19120, 8333, 966, 3438, 6798, 1232, 18344, 543, 519, 22630, 577, 760, 667, 9915, 17513, 13365, 568, 4843, 563, 294, 1495, 619, 523, 267, 700, 269, 595, 563, 303, 9438, 532, 2916, 1689, 267, 3384, 2200, 30396, 267, 543, 19086, 2067, 9651, 1981, 616, 1950, 15834, 2591, 538, 519, 2520, 657, 31190, 602, 2154, 519, 5610, 540, 1239, 543, 1702, 689, 19635, 10459, 543, 10253, 269, 901, 2186, 540, 15834, 2257, 666, 1152, 8853, 952, 3621, 2950, 960, 1927, 543, 15666, 547, 1455, 4441, 540, 3621, 8699, 267, 7881, 267, 1239, 2359, 267, 1225, 566, 267, 543, 4687, 269, 3163, 543, 1239, 1510, 8699, 543, 7881, 666, 2144, 1712, 519, 1360, 5958, 540, 519, 3621, 13055, 543, 5732, 2800, 2486, 543, 519, 4541, 269, 769, 24014, 1981, 9382, 540, 2067, 10898, 666, 1291, 547, 4057, 5079, 538, 4070, 267, 6142, 267, 543, 6595, 3210, 269, 5549, 8091, 4879, 540, 7777, 2200, 666, 22625, 513, 2754, 267, 6861, 513, 2199, 4346, 267, 543, 8764, 622, 606, 5117, 269, 901, 1957, 6799, 1883, 7881, 543, 8699, 2055, 19610, 609, 519, 2101, 3334, 540, 519, 1382, 1239, 1272, 4783, 269, 634, 2055, 666, 581, 1031, 676, 519, 11001, 1282, 519, 3621, 1184, 547, 948, 2327, 519, 8699, 543, 7881, 540, 741, 1382, 543, 15984, 547, 3280, 1239, 2359, 2259, 269, 5999, 1331, 9270, 585, 1930, 267, 10319, 2257, 267, 799, 568, 21739, 4657, 519, 5539, 540, 3744, 3823, 1239, 4687, 543, 10063, 322, 2225, 269, 634, 8313, 540, 3119, 1239, 267, 2409, 267, 3631, 267, 3301, 267, 543, 32262, 1590, 1831, 513, 2343, 540, 2257, 269, 1703, 616, 849, 2055, 602, 5401, 519, 10196, 547, 1589, 827, 519, 4324, 540, 741, 960, 547, 2486, 282, 4180, 9698, 267, 2463, 267, 543, 14619, 538, 2324, 609, 1866, 282, 543, 2141, 20678, 585, 19969, 267, 17284, 267, 543, 11413, 563, 298, 7795, 333, 580, 330, 267, 9986, 2378, 282, 645, 7238, 750, 333, 267, 589, 26413, 631, 282, 1234, 25534, 267, 808, 839, 282, 5576, 7564, 2536, 267, 769, 2998, 282, 645, 20672, 2401, 267, 589, 1598, 573, 282, 808, 826, 696, 1676, 267, 4460, 639, 282, 717, 601, 1457, 4565, 558, 267, 4569, 5362, 282, 670, 732, 526, 5633, 267, 590, 580, 5090, 454, 763, 5610, 540, 3621, 1382, 883, 2564, 2069, 568, 513, 4922, 5941, 1888, 269, 4107, 1382, 2866, 3292, 616, 6035, 593, 513, 17319, 4493, 269, 769, 5125, 267, 621, 568, 16601, 547, 2347, 513, 25719, 5098, 547, 3489, 519, 4081, 2140, 834, 4777, 2758, 2668, 634, 4128, 1946, 1053, 1376, 513, 12031, 1788, 543, 519, 3310, 540, 713, 1788, 593, 741, 15938, 2090, 543, 2663, 4876, 5079, 616, 711, 1134, 1634, 269, 901, 1353, 729, 5342, 693, 2947, 4436, 9945, 538, 476, 1220, 274, 267, 609, 513, 2698, 540, 476, 275, 4391, 11359, 4458, 1053, 10283, 538, 621, 269, 589, 3044, 2213, 18102, 729, 1031, 547, 2307, 5171, 827, 741, 1699, 610, 8737, 12031, 630, 16766, 589, 1070, 513, 12031, 789, 1185, 19944, 4240, 630, 16766, 645, 264, 610, 1946, 789, 1185, 2760, 3323, 513, 12031, 1788, 630, 16766, 595, 1040, 634, 1079, 1034, 1271, 4128, 585, 1053, 689, 1895, 589, 547, 1376, 513, 12031, 941, 834, 15517, 538, 519, 1888, 257, 543, 834, 7349, 720, 585, 2816, 3156, 2668, 22702, 609, 1895, 645, 267, 789, 5018, 834, 574, 2889, 1386, 2702, 547, 9691, 813, 571, 1047, 3621, 2090, 257, 543, 834, 4777, 532, 3621, 960, 10446, 257, 3648, 811, 1419, 607, 513, 1267, 540, 2324, 593, 741, 12031, 269, 18786, 513, 12031, 1788, 2038, 1282, 15938, 2090, 729, 17047, 609, 513, 1447, 3811, 6364, 269, 5047, 267, 2324, 593, 513, 12031, 3648, 4389, 942, 6170, 593, 15938, 2090, 269, 4841, 689, 1895, 595, 3957, 519, 834, 1740, 2903, 540, 15938, 2090, 257, 543, 834, 7224, 942, 257, 1034, 4749, 607, 4128, 585, 711, 2348, 3323, 513, 12031, 269, 4841, 945, 723, 1044, 2324, 6707, 593, 513, 12031, 2557, 3688, 3823, 519, 11601, 540, 3621, 1382, 1983, 3648, 811, 9797, 267, 543, 7589, 538, 15938, 2090, 4667, 547, 581, 11874, 4299, 676, 2324, 593, 513, 12031, 1788, 269, 4475, 267, 2596, 2866, 538, 3621, 1382, 12191, 1058, 1831, 606, 7471, 851, 540, 519, 2564, 15938, 6437, 267, 1247, 2027, 3292, 1058, 581, 6035, 585, 1053, 609, 513, 1880, 1719, 538, 3621, 1382, 454, 291, 686, 612, 523, 267, 589, 5919, 590, 3326, 773, 267, 6754, 282, 667, 6686, 6202, 267, 29849, 454, 1607, 3184, 26564, 519, 18759, 540, 513, 10196, 3742, 538, 9804, 2792, 827, 519, 991, 540, 5683, 9270, 538, 6639, 1382, 269, 1323, 23904, 4214, 540, 7881, 267, 1373, 519, 1148, 547, 1118, 1434, 946, 540, 2029, 267, 568, 6069, 602, 11363, 519, 8209, 9525, 540, 711, 454, 297, 2158, 267, 570, 878, 807, 590, 563, 298, 3317, 996, 8738, 651, 781, 2035, 540, 20116, 267, 5559, 32236, 267, 2165, 514, 2065, 13819, 630, 704, 24632, 12086, 1070, 543, 8446, 616, 1031, 538, 713, 1957, 547, 17854, 543, 1463, 17685, 8590, 2792, 1382, 269, 8422, 17685, 8590, 16097, 734, 322, 8590, 4756, 2079, 267, 2499, 1113, 2079, 267, 543, 17801, 558, 1385, 1108, 734, 732, 8947, 538, 519, 1957, 1210, 891, 2035, 269, 7498, 4517, 3205, 267, 14732, 670, 5919, 1656, 11524, 454, 5327, 32606, 519, 5274, 9442, 3194, 10418, 15511, 18482, 269, 634, 6538, 5161, 540, 936, 476, 10384, 1098, 8282, 543, 27573, 19929, 689, 8424, 540, 10529, 9907, 689, 476, 278, 268, 1691, 269, 634, 10529, 616, 6592, 936, 476, 273, 1296, 1247, 21365, 18756, 1966, 9010, 4247, 267, 543, 519, 1482, 8424, 540, 10529, 616, 6592, 936, 476, 273, 1296, 21365, 476, 1015, 1114, 7498, 21609, 619, 267, 27692, 282, 6182, 684, 580, 267, 30038, 20811, 589, 563, 5475, 24152, 15594, 3069, 630, 935, 24632, 1436, 543, 4162, 1070, 513, 1353, 8947, 8456, 4724, 2152, 2348, 547, 798, 609, 15594, 14172, 543, 519, 4610, 540, 19761, 543, 2792, 267, 3226, 12570, 519, 14496, 540, 519, 6671, 7326, 602, 2021, 616, 15695, 1996, 3257, 15594, 1382, 269, 634, 5396, 941, 513, 1625, 1842, 633, 7498, 289, 584, 8208, 339, 267, 661, 269, 681, 5919, 20289, 656, 344, 267, 715, 269, 918, 5919, 1546, 294, 10174, 267, 681, 269, 631, 563, 31535, 707, 3755, 568, 513, 2565, 851, 540, 3384, 4376, 547, 581, 1031, 610, 4810, 676, 513, 1480, 1373, 269, 14871, 11042, 267, 3460, 7851, 267, 543, 1268, 553, 616, 782, 2553, 4122, 6964, 538, 1480, 19721, 1374, 2853, 1317, 789, 723, 8810, 2500, 585, 26655, 519, 1374, 540, 2472, 543, 2533, 602, 2743, 519, 2115, 540, 3755, 269, 3509, 1875, 17393, 793, 619, 616, 23387, 540, 519, 28252, 540, 1268, 553, 543, 3460, 7851, 269, 12207, 945, 616, 5461, 538, 3384, 811, 2500, 2472, 543, 2792, 666, 9772, 543, 2308, 3593, 19721 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 9058, 8906, 269, 6884, 267, 1346, 14191, 547, 721, 3180, 6456, 15421, 5827, 540, 2870, 28986, 269, 6787, 1480, 610, 3662, 267, 2462, 610, 1507, 267, 4896, 666, 3565, 9797, 547, 741, 2950, 543, 19644, 5389, 269, 8414, 14812, 256, 0, 2080, 568, 606, 1349, 689, 513, 2546, 912, 257, 2691, 9568, 16716, 593, 835, 4411, 8285, 18832, 267, 621, 779, 909, 547, 17491, 700, 2794, 267, 513, 2370, 29152, 28419, 267, 547, 948, 13244, 4688, 8285, 256, 21661, 519, 1158, 593, 713, 669, 11035, 3781, 267, 8695, 543, 6690, 616, 7996, 585, 13244, 547, 865, 541, 936, 741, 22908, 609, 1010, 10760, 556, 785, 17621, 543, 3142, 6799, 267, 17711, 267, 543, 9162, 269, 1809, 950, 6196, 12142, 19162, 543, 1010, 2319, 540, 556, 785, 17621, 2887, 7210, 1282, 741, 3781, 569, 8184, 267, 621, 779, 909, 547, 519, 16933, 593, 519, 3244, 332, 976, 3484, 547, 4688, 519, 1554, 563, 306, 9017, 512, 15085, 1010, 23472, 267, 32125, 556, 785, 17621, 538, 519, 7123, 543, 5734, 2583, 909, 519, 16933, 547, 7485, 519, 11739, 662, 269, 898, 4667, 899, 519, 16933, 616, 4712, 547, 8038, 267, 855, 950, 13244, 13290, 547, 1931, 873, 909, 267, 646, 30877, 646, 779, 4503, 1010, 5639, 256, 898, 779, 909, 547, 17491, 700, 2794, 547, 1289, 856, 1142, 540, 519, 16933, 685, 4408, 538, 1010, 10978, 5639, 543, 948, 13244, 5838, 519, 6799, 547, 1453, 10876, 563, 1607, 1427, 2454, 540, 519, 2085, 6040, 13957, 6969, 8285, 6648, 568, 2386, 547, 1831, 513, 5929, 3294, 609, 922, 2868, 569, 267, 795, 14709, 267, 15319, 6253, 549, 730, 13244, 543, 2370, 29152, 17491, 700, 2794, 945, 17990, 8285, 585, 3025, 563, 10666, 519, 8191, 454, 299, 3010, 2237, 606, 2502, 543, 3015, 1576, 1770, 538, 513, 1837, 585, 1647, 1153, 1053, 1644, 547, 519, 1349, 1657, 267, 2519, 593, 834, 9199, 1885, 543, 31654, 1682, 257, 607, 851, 540, 834, 16300, 13493, 1315, 32733, 1299, 18270, 725, 1315, 12390, 4157, 27204, 2668, 634, 1543, 1058, 581, 3358, 585, 1647, 1153, 1053, 1510, 1991, 1702, 540, 519, 1888, 780, 2521, 547, 1384, 268, 3629, 2143, 3137, 267, 2057, 2930, 3822, 267, 543, 1459, 519, 2093, 538, 513, 3551, 267, 2239, 3159, 563, 268, 3417, 1806, 547, 1118, 519, 1641, 3839, 543, 3078, 585, 1762, 1647, 1153, 1053, 563, 268, 3680, 4304, 519, 1357, 1349, 538, 519, 1837, 269, 1684, 711, 1331, 513, 2140, 610, 2606, 2453, 269, 3399, 1603, 519, 1543, 2047, 269, 0, 5403, 5937, 529, 2120, 24486, 18401, 12020, 281, 589, 4591, 2065, 13979, 2509, 22990, 1304, 18877, 692, 7072, 692, 1103, 519, 21987, 540, 513, 9568, 267, 2950, 616, 1419, 2451, 21679, 609, 519, 18447, 4305, 540, 31811, 741, 5989, 269, 634, 6595, 2359, 2361, 17767, 602, 713, 6051, 5123, 568, 513, 2565, 795, 15802, 1141, 3664, 1500, 666, 2901, 7794, 610, 2417, 14020, 2146, 30840, 269, 901, 3184, 12538, 883, 2022, 16162, 2120, 5989, 6051, 4058, 267, 10771, 519, 2956, 540, 13784, 267, 6940, 267, 543, 5647, 269, 1635, 3695, 1883, 2035, 267, 1655, 2853, 267, 543, 4207, 2591, 267, 649, 2832, 547, 16491, 2104, 6595, 9946, 609, 519, 1702, 2838, 547, 6536, 14388, 2950, 5827, 540, 29056, 14488, 780, 8139, 5403, 5937, 529, 2120, 24486, 18401, 12020, 692, 4263, 922, 4295, 267, 2022, 16162, 2120, 5989, 6051, 4058, 4016, 547, 519, 1184, 676, 799, 4299, 22875, 18928, 2708, 3441, 267, 3715, 14422, 267, 21138, 2200, 267, 543, 2936, 3800, 6322, 693, 19620, 4105, 2533, 543, 6703, 1739, 513, 21472, 2680, 269, 6270, 2621, 949, 7854, 2067, 10898, 899, 24377, 267, 17160, 267, 23967, 267, 16767, 267, 610, 6639, 12469, 971, 607, 3114, 29908, 267, 6880, 3430, 2931, 267, 610, 5989, 14286, 269, 17859, 540, 519, 24254, 10071, 267, 891, 9333, 752, 902, 28173, 6297, 11558, 1851, 1585, 8639, 267, 1519, 2229, 8041, 267, 4357, 5823, 9988, 267, 18758, 3906, 267, 543, 12936, 4961, 780, 763, 10020, 540, 32213, 5071, 538, 5403, 5937, 529, 2120, 18401, 692, 2304, 8537, 1935, 547, 2022, 16162, 2120, 5989, 6051, 5849, 602, 782, 2818, 540, 2486, 723, 3160, 1569, 547, 1898, 2533, 543, 3255, 1282, 519, 31811, 1184, 269, 11790, 971, 607, 2085, 267, 4008, 3961, 267, 5198, 267, 14940, 267, 14227, 4567, 267, 543, 2702, 1590, 581, 3144, 883, 2272, 950, 1106, 6819, 2994, 585, 11808, 269, 23299, 547, 798, 865, 4220, 12615, 908, 4540, 13103, 543, 14944, 1456, 2949, 2146, 8171, 269, 1280, 3236, 267, 10714, 532, 3015, 6283, 3681, 949, 17225, 2043, 609, 10688, 23043, 689, 17034, 3782, 6703, 610, 7694, 7740, 267, 7551, 31328, 9979, 540, 6710, 543, 17181, 780, 288, 8037, 1383, 540, 8537, 1374, 538, 2259, 2501, 689, 1715, 20252, 2022, 6953, 584, 13606, 15576, 27444, 269, 1306, 851, 540, 519, 2749, 781, 26016, 1436, 3646, 267, 24990, 11368, 8471, 1374, 3741, 883, 8027, 7835, 267, 1857, 5624, 267, 543, 18302, 1949, 269, 1452, 12381, 3769, 30523, 15155, 1186, 267, 28241, 22338, 585, 11617, 15176, 19516, 20379, 267, 543, 28253, 4831, 339, 3591, 23695, 547, 8795, 15627, 543, 5759, 269, 1635, 8508, 13784, 267, 1715, 20252, 27838, 513, 811, 12581, 1604, 20009, 547, 1279, 3856, 6051, 543, 6043, 780, 306, 7739, 1464, 19047, 538, 5403, 5937, 529, 2120, 24486, 18401, 692, 2026, 2916, 1689, 14556, 5809, 3665, 4365, 2621, 267, 6220, 4264, 2853, 883, 2022, 16162, 2120, 5989, 6051, 814, 1831, 5051, 14063, 269, 12655, 4485, 3343, 547, 7413, 2825, 5222, 1247, 21924, 4199, 4398, 267, 13916, 267, 543, 15325, 269, 6201, 540, 971, 2994, 1331, 9001, 3039, 2679, 2326, 267, 7598, 1648, 18026, 4066, 267, 8497, 1930, 2230, 267, 543, 5009, 11741, 4683, 1646, 3270, 780, 3080, 2013, 1353, 10223, 519, 2640, 540, 4264, 2022, 16162, 2120, 6051, 568, 519, 16646, 4674, 538, 13983, 839, 7921, 267, 17857, 1739, 513, 14042, 28575, 538, 476, 1220, 278, 269, 2871, 3660, 676, 513, 7029, 547, 4742, 513, 2203, 3039, 2146, 267, 2199, 3401, 7550, 22608, 4808, 8260, 908, 19845, 3633, 1773, 11294, 636, 13995, 585, 18513, 5656, 267, 7791, 1648, 2959, 267, 543, 7347, 7088, 4248, 2359, 1949, 269, 9182, 267, 13983, 839, 7921, 814, 7153, 607, 513, 13009, 4565, 1794, 518, 538, 4264, 556, 31141, 267, 19788, 3486, 3007, 543, 11121, 824, 2950, 547, 1246, 9290, 780, 299, 1197, 1645, 30404, 16370, 585, 24046, 26504, 692, 18770, 1734, 538, 2029, 3136, 547, 3337, 519, 5251, 540, 6595, 2359, 267, 5356, 3209, 3435, 585, 7393, 840, 16162, 2120, 17846, 267, 3210, 7207, 267, 543, 2022, 16162, 2120, 6051, 4238, 269, 2368, 6932, 10124, 26405, 547, 22499, 2022, 16162, 2120, 5989, 6051, 1331, 1384, 272, 269, 12829, 8596, 543, 14164, 3457, 281, 7464, 6066, 5464, 1949, 5512, 2038, 7020, 540, 1761, 6937, 267, 7175, 16190, 6304, 543, 4227, 29987, 2404, 609, 18203, 269, 3958, 267, 5100, 21870, 11126, 1379, 3892, 5121, 267, 4180, 3608, 14305, 540, 3908, 2200, 1282, 856, 1137, 563, 273, 269, 1133, 2006, 2740, 19666, 6472, 630, 308, 16787, 338, 2567, 4746, 1634, 607, 19025, 267, 772, 16787, 338, 7520, 4028, 4879, 540, 8697, 2127, 267, 3246, 1164, 22822, 11052, 543, 1239, 585, 5483, 3375, 6194, 269, 5015, 267, 789, 666, 4217, 538, 12419, 7727, 547, 2182, 3562, 3146, 778, 6753, 610, 24317, 3937, 585, 7816, 4247, 563, 274, 269, 14464, 4987, 630, 9590, 264, 543, 3684, 1565, 630, 7876, 2567, 21023, 633, 12642, 13324, 676, 3642, 270, 7876, 6620, 3986, 32638, 4656, 267, 20928, 4199, 14305, 267, 543, 1217, 7580, 9541, 538, 5989, 18175, 10232, 269, 5047, 267, 891, 2645, 666, 11880, 924, 3441, 16759, 3157, 267, 23960, 6142, 6811, 4393, 543, 2883, 6351, 23425, 563, 275, 269, 14044, 4641, 630, 23623, 264, 543, 21284, 4641, 630, 2752, 2567, 8056, 619, 633, 2866, 13502, 6035, 998, 15283, 270, 2752, 5867, 24772, 13781, 23982, 267, 4180, 16169, 538, 7463, 1983, 2838, 585, 2022, 16162, 2120, 6051, 3646, 269, 5015, 267, 891, 4066, 1489, 1857, 6278, 7341, 267, 3850, 4961, 547, 14650, 6069, 4566, 543, 5639, 4145, 1354, 6388, 780, 6962, 692, 8070, 16162, 2120, 5989, 6051, 4058, 4564, 1312, 606, 10373, 4161, 543, 606, 26080, 4316, 585, 13321, 7925, 2950, 883, 14388, 3283, 269, 1635, 12561, 8537, 6272, 267, 22299, 532, 6940, 267, 543, 16107, 5499, 4066, 267, 6595, 9946, 666, 11349, 5054, 602, 2149, 741, 11317, 689, 2800, 1247, 5807, 1514, 9698, 267, 2804, 13884, 267, 543, 8733, 19642, 269, 21150, 1046, 532, 593, 713, 3460, 3340, 22509, 697, 267, 5698, 267, 543, 513, 32344, 11428, 547, 6024, 6454, 1107, 2418, 602, 9114, 693, 519, 2295, 540, 2500, 6595, 2359, 2069, 543, 2259, 269, 0, 2080, 568, 606, 1349, 689, 513, 2546, 912, 3269, 1607, 568, 10691, 513, 4530, 281, 4024, 519, 13780, 781, 17073, 1325, 1068, 3590, 5548, 1853, 519, 5518, 781, 24606, 547, 519, 5398, 24350, 14818, 574, 3415, 540, 3627, 681, 269, 966, 2795, 333, 267, 17348, 17367, 454, 13233, 7027, 593, 26225, 630, 301, 7374, 994, 8138, 1260, 2466, 6590, 593, 9483, 4886, 267, 5398, 29844, 2676, 663, 17073, 5004, 454, 9558, 1636, 566, 543, 24486, 9730, 454, 308, 2529, 269, 5600, 540, 24929, 454, 22154, 568, 10691, 513, 4530, 281, 4024, 519, 13780, 779, 17073, 1325, 1068, 3590, 5548, 1853, 519, 5518, 779, 24606, 547, 519, 5398, 18313, 26607, 11888, 267, 5181, 476, 1789, 267, 476, 1220, 280, 454, 21327, 278, 14105, 14315, 5600, 8433, 8490, 454, 16039, 269, 17348, 30513, 267, 681, 21403, 16588, 667, 27927, 5174, 531, 691, 267, 543, 16840, 540, 519, 5600, 18815, 543, 24486, 4427, 1260, 2466, 6590, 593, 9483, 4886, 267, 5398, 29844, 267, 543, 17073, 5004, 912, 4002, 15773, 540, 519, 2817, 7027, 593, 26225, 267, 9684, 596, 585, 519, 4316, 547, 1683, 2854, 21981, 547, 519, 4427, 1260, 2466, 6590, 585, 519, 6217, 2221, 269, 4014, 519, 7027, 779, 2487, 1867, 3091, 2079, 543, 9659, 3609, 7840, 3823, 519, 3003, 1272, 4783, 540, 513, 9568, 267, 649, 3970, 3010, 2237, 606, 3573, 543, 2143, 1576, 1770, 538, 513, 1837, 585, 2852, 1053, 1644, 547, 519, 1349, 1657, 267, 2519, 593, 834, 8070, 5937, 529, 2120, 24486, 18401, 12020, 257, 607, 851, 540, 834, 31900, 1299, 22957, 1315, 17073, 5004, 2668, 1684, 711, 1175, 1592, 2035, 267, 855, 1020, 1142, 835, 538, 1469, 1354, 3001, 547, 519, 1985, 267, 607, 649, 4225, 3178, 540, 1620, 543, 3102, 3408, 540, 519, 1641, 2339, 936, 4560, 780, 2521, 547, 1384, 268, 3550, 538, 3829, 3795, 540, 519, 2035, 563, 268, 2422, 513, 2239, 267, 2219, 4538, 2511, 563, 268, 4045, 519, 1888, 609, 1699, 3466, 267, 1483, 3734, 1806, 267, 610, 2487, 2090, 563, 2710, 711, 1331, 513, 2140, 267, 2606, 2453, 267, 610, 2592, 269, 3503, 519, 1543, 2047, 269, 0, 3848, 476, 1015, 281, 715, 27658, 3203, 543, 24484, 902, 910, 589, 6733, 693, 5020, 28259, 539, 676, 4826, 692, 8702, 267, 12703, 17701, 256, 1411, 2811, 827, 547, 7832, 593, 606, 7499, 3460, 998, 942, 267, 1141, 596, 786, 3605, 6909, 562, 27658, 1148, 6273, 676, 1272, 2282, 1390, 4703, 540, 1216, 269, 901, 3184, 6212, 593, 1079, 15999, 12647, 536, 867, 1359, 519, 4190, 1533, 540, 16855, 1107, 8235, 12309, 543, 8235, 32493, 269, 2913, 781, 4685, 1318, 538, 2439, 1262, 4089, 476, 272, 281, 17553, 590, 841, 609, 715, 27658, 3203, 4373, 5970, 596, 2479, 16545, 1018, 621, 1131, 581, 899, 547, 13743, 2066, 5318, 7297, 286, 10801, 1686, 267, 1004, 723, 1031, 16996, 543, 9635, 547, 2951, 267, 4123, 5370, 267, 543, 2263, 1007, 3338, 269, 1306, 789, 1705, 267, 5159, 9676, 741, 15322, 538, 10367, 4904, 609, 10578, 3877, 269, 1452, 1568, 540, 1148, 2995, 721, 4241, 2984, 827, 938, 11937, 262, 3347, 609, 519, 1216, 780, 265, 7078, 17041, 5994, 5870, 513, 7874, 544, 1069, 4660, 1247, 15385, 519, 5836, 269, 2334, 781, 10502, 1018, 5949, 538, 17713, 23323, 528, 13153, 20918, 23264, 339, 781, 7206, 834, 288, 631, 1069, 4660, 2037, 577, 13589, 513, 1530, 2378, 13145, 2437, 2813, 1259, 1394, 538, 476, 7277, 273, 256, 898, 2982, 721, 1175, 835, 1383, 540, 519, 9589, 8941, 1336, 1369, 562, 27658, 1148, 780, 1262, 4089, 476, 273, 281, 20283, 1412, 305, 895, 519, 4279, 20463, 4373, 3086, 1577, 781, 1205, 1808, 543, 1445, 593, 1346, 23836, 4703, 540, 1216, 649, 5018, 4505, 269, 9894, 596, 917, 602, 519, 4279, 20463, 2270, 5176, 835, 1922, 604, 628, 540, 3047, 781, 4195, 2627, 1216, 286, 2334, 1797, 972, 729, 7899, 540, 6667, 585, 5159, 3168, 547, 7001, 10875 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 998, 513, 2013, 1353, 540, 1160, 21745, 344, 4569, 10794, 454, 265, 21414, 519, 2640, 543, 19363, 540, 1210, 3059, 2645, 538, 6128, 2069, 692, 7072, 912, 1103, 2221, 781, 1158, 267, 2029, 814, 1831, 606, 7533, 851, 540, 1169, 2460, 540, 1272, 267, 1519, 2069, 269, 2060, 519, 4473, 540, 3872, 11080, 5867, 971, 607, 1160, 21745, 344, 4569, 10794, 267, 972, 814, 1044, 513, 3395, 1719, 538, 6220, 13708, 2305, 883, 6128, 2069, 269, 901, 1770, 786, 5490, 883, 519, 1523, 540, 6310, 9781, 543, 1966, 9010, 2994, 1247, 7421, 519, 7145, 540, 1210, 13708, 2305, 607, 513, 3450, 1907, 998, 513, 2013, 1353, 540, 1160, 21745, 344, 4569, 10794, 780, 4089, 476, 272, 281, 19556, 21290, 543, 9046, 4149, 6295, 11150, 454, 12385, 3012, 673, 9781, 3322, 2870, 7493, 11269, 540, 1483, 8996, 3871, 547, 5659, 1950, 2042, 269, 634, 1184, 2882, 7114, 4143, 4632, 267, 14335, 4834, 267, 6061, 891, 4834, 267, 16208, 2164, 267, 543, 4570, 908, 3631, 1996, 4890, 1239, 269, 2201, 519, 824, 1688, 267, 1966, 9010, 2994, 3277, 547, 2553, 1031, 547, 4194, 6310, 2042, 7561, 269, 1452, 2994, 949, 4125, 16759, 267, 5373, 12222, 267, 3168, 585, 3270, 267, 2324, 18807, 267, 610, 14874, 7399, 269, 769, 713, 3296, 267, 649, 786, 2263, 1585, 6310, 9781, 4485, 543, 1966, 9010, 2994, 780, 4089, 476, 273, 281, 11137, 540, 1160, 21745, 344, 4569, 10794, 454, 3682, 21745, 344, 4569, 10794, 568, 606, 13261, 1565, 3760, 2966, 585, 918, 268, 279, 1053, 602, 10905, 2609, 540, 1909, 25178, 532, 3756, 630, 14641, 294, 264, 543, 6437, 268, 7955, 539, 2979, 2055, 269, 4841, 1711, 1285, 520, 1513, 543, 7832, 593, 1391, 338, 8506, 873, 547, 2626, 2979, 2055, 693, 741, 1377, 269, 11334, 666, 21160, 2875, 10467, 1759, 593, 1808, 3584, 267, 3950, 3356, 267, 543, 2697, 2127, 1141, 6304, 1522, 581, 2556, 269, 1284, 786, 4983, 875, 1160, 21745, 344, 4569, 10794, 26779, 6310, 9781, 543, 1966, 9010, 2994, 1369, 922, 5943, 780, 4089, 476, 274, 281, 11588, 540, 4635, 7913, 13088, 538, 9119, 4065, 454, 19445, 2645, 2709, 3875, 5383, 950, 11368, 883, 6128, 6044, 269, 1358, 1683, 3255, 585, 10531, 1565, 2833, 267, 7525, 5955, 267, 2799, 6278, 267, 543, 4824, 10333, 269, 1635, 6313, 1382, 2090, 5342, 593, 1160, 21745, 344, 4569, 10794, 267, 649, 786, 1865, 519, 1764, 540, 971, 2645, 593, 2875, 9740, 267, 8404, 267, 543, 6015, 2157, 780, 4089, 476, 275, 281, 8571, 10587, 540, 4635, 7913, 13088, 538, 9119, 4065, 454, 4407, 3059, 2645, 723, 1082, 2640, 267, 789, 849, 1459, 2591, 269, 1280, 3236, 267, 7050, 5496, 942, 1223, 1291, 547, 8519, 3007, 21269, 267, 25161, 2623, 267, 543, 4389, 1514, 5872, 1983, 269, 5047, 267, 21376, 1569, 547, 3457, 543, 14479, 2152, 22652, 4540, 13103, 1851, 6267, 269, 3414, 2079, 540, 12170, 2963, 267, 649, 786, 6218, 1761, 17498, 1938, 2404, 609, 1210, 3059, 2645, 899, 1160, 21745, 344, 4569, 10794, 538, 6128, 2069, 780, 4089, 476, 276, 281, 7454, 13756, 585, 20074, 31133, 2305, 538, 9119, 19019, 454, 2414, 11694, 519, 1761, 540, 13708, 2305, 538, 6128, 2069, 267, 7855, 1058, 2015, 1896, 1655, 2853, 269, 17616, 267, 26936, 3756, 609, 1225, 14152, 6859, 5849, 602, 1053, 4497, 538, 6209, 2238, 13988, 609, 1565, 3853, 269, 19627, 267, 21934, 13783, 1489, 2337, 30497, 5716, 1628, 13654, 1702, 7930, 269, 14936, 267, 5009, 1582, 30625, 6087, 1053, 547, 6895, 741, 1378, 3356, 3927, 269, 10801, 713, 3296, 267, 649, 786, 7291, 4808, 585, 3811, 6388, 540, 13708, 1881, 6128, 4245, 780, 6962, 912, 1607, 1770, 8268, 519, 10167, 1063, 6310, 9781, 267, 1966, 9010, 2994, 267, 543, 13708, 2305, 676, 4974, 1160, 21745, 344, 4569, 10794, 269, 1306, 7855, 5051, 9772, 6639, 10124, 267, 2565, 6268, 540, 1312, 26350, 543, 25354, 3587, 1898, 269, 11086, 267, 11495, 513, 3666, 1063, 2757, 24099, 2409, 543, 3209, 4485, 2636, 721, 547, 10244, 2029, 781, 1379, 1510, 18731, 4295, 3741, 30343, 2500, 6128, 6044, 269, 0, 2080, 568, 606, 1349, 689, 513, 2546, 281, 834, 3682, 21745, 344, 4569, 10794, 5623, 1107, 10374, 4528, 1107, 594, 5795, 2724, 547, 513, 24928, 593, 519, 4950, 585, 606, 22010, 547, 1160, 21745, 344, 4569, 3014, 267, 513, 2979, 1982, 602, 594, 7012, 1406, 7620, 513, 10178, 540, 543, 585, 1945, 602, 594, 2907, 1185, 519, 1863, 4528, 540, 563, 16524, 4528, 1107, 594, 946, 5020, 540, 12049, 2979, 609, 1250, 1753, 1153, 539, 476, 1015, 1032, 2025, 269, 1261, 14560, 621, 855, 519, 6765, 540, 938, 1985, 1433, 1185, 1044, 16607, 269, 1924, 594, 4956, 547, 946, 713, 607, 513, 4960, 547, 1449, 930, 2228, 2979, 3292, 538, 519, 29291, 269, 1160, 21745, 344, 10794, 1373, 835, 540, 873, 269, 3367, 593, 585, 1250, 1160, 21745, 344, 4569, 10794, 2689, 2336, 4504, 18166, 1250, 1160, 21745, 344, 4569, 10794, 5623, 454, 296, 8910, 4862, 1866, 986, 557, 827, 1160, 21745, 344, 4569, 855, 594, 6557, 711, 2356, 513, 10178, 540, 13708, 1881, 2979, 267, 607, 1419, 3214, 6108, 1932, 1454, 942, 4730, 3330, 519, 3014, 543, 711, 2614, 942, 968, 4118, 532, 892, 10758, 3214, 1175, 1589, 519, 3756, 616, 561, 877, 1317, 519, 3014, 1404, 568, 711, 607, 1434, 607, 8726, 519, 5767, 2462, 3014, 18638, 3364, 568, 789, 899, 4730, 563, 5475, 3843, 513, 1906, 824, 3292, 1107, 9039, 540, 799, 24330, 1250, 5067, 1107, 594, 6368, 3893, 5180, 547, 4259, 1864, 909, 593, 1160, 21745, 344, 6231, 2237, 606, 3573, 543, 2143, 1576, 1770, 538, 513, 1837, 585, 2852, 1053, 1644, 547, 519, 1349, 1657, 267, 2519, 593, 9358, 7582, 22723, 13493, 1315, 9119, 1315, 4937, 1315, 19556, 21290, 543, 9046, 4149, 6295, 11150, 269, 1684, 711, 1175, 1592, 2035, 267, 855, 1020, 1142, 835, 538, 1469, 1354, 3001, 547, 519, 1985, 267, 607, 649, 4225, 3178, 540, 1620, 543, 3102, 3408, 540, 519, 1641, 2339, 936, 4560, 563, 2521, 547, 1384, 268, 3550, 538, 3829, 3795, 540, 519, 2035, 563, 268, 2422, 513, 2239, 2219, 4538, 2511, 563, 268, 4045, 519, 1888, 609, 1699, 3466, 267, 1483, 3734, 1806, 267, 610, 2487, 2090, 563, 2710, 711, 1331, 513, 2140, 267, 2606, 2453, 610, 2592, 269, 3503, 519, 1543, 2047, 269, 0, 3848, 7170, 281, 634, 11635, 21696, 281, 1215, 21805, 338, 7169, 1242, 3013, 692, 1103, 713, 3184, 267, 596, 786, 1451, 827, 835, 540, 519, 1034, 1713, 6639, 7760, 538, 1977, 1686, 910, 519, 1646, 540, 16456, 338, 256, 6969, 6517, 267, 14742, 267, 610, 16996, 267, 972, 729, 519, 834, 27860, 21696, 2437, 513, 3532, 3684, 602, 4957, 875, 1004, 5030, 267, 5249, 267, 543, 5129, 269, 1924, 10544, 707, 3206, 11503, 543, 1577, 781, 4685, 883, 519, 13858, 1650, 540, 16456, 7269, 2066, 519, 2136, 2276, 2439, 4089, 476, 272, 281, 1548, 616, 21805, 338, 888, 305, 841, 30030, 616, 5121, 540, 13475, 609, 14884, 4881, 593, 1283, 269, 3004, 1231, 2874, 540, 21525, 582, 1161, 630, 1492, 2599, 264, 17444, 1896, 7923, 6472, 1572, 16749, 6517, 610, 1286, 17699, 269, 1452, 6472, 666, 4163, 15915, 267, 26708, 630, 16591, 338, 1070, 13875, 267, 543, 811, 256, 5994, 1373, 2111, 547, 2951, 1279, 9883, 1510, 3478, 13110, 282, 4992, 899, 9059, 267, 1318, 286, 4270, 267, 7064, 547, 16456, 338, 267, 621, 2968, 513, 4641, 2439, 4089, 476, 273, 281, 589, 16684, 3778, 540, 7216, 12565, 1811, 454, 6524, 519, 8798, 540, 9252, 9817, 267, 2038, 7841, 1811, 16941, 593, 9640, 610, 8904, 547, 1847, 18535, 2059, 11308, 610, 4401, 986, 2812, 269, 1717, 267, 891, 1949, 7948, 1405, 3560, 5370, 1360, 3533, 610, 936, 1390, 9883, 269, 2334, 782, 4957, 950, 3703, 11653, 9400, 7066, 341, 603, 1157, 3710, 519, 1101, 3811, 2407, 8397, 2324, 16749, 9252, 21525, 12067, 538, 476, 5197, 275, 269, 898, 7012, 1405, 1279, 2394, 4892, 9575, 2842, 540, 713, 1007, 2029, 543, 3323, 2679, 741, 1378, 16456, 338, 780, 4089, 476, 274, 281, 8490, 519, 3689, 772, 2529, 269, 21805, 338, 454, 25567, 320, 781, 1101, 4013, 16456, 8118, 1063, 22768, 543, 11882, 538, 476, 8146, 271, 269, 1635, 519, 4571, 268, 5197, 271, 338, 267, 1082, 4872, 1630, 16556, 4296, 547, 24567, 7841, 5121, 267, 3850, 585, 5488, 6283, 540, 1004, 543, 2472, 982, 2479, 1354, 269, 1306, 11175, 9450, 31023, 267, 865, 1705, 519, 991, 585, 6325, 3444, 28029, 787, 6402, 1107, 4283, 519, 3690, 11666, 1581, 21805, 780, 4089, 476, 275, 281, 700, 11691, 570, 13715, 21661, 8033, 757, 454, 4467, 921, 1540, 538, 476, 5908, 280, 267, 519, 3690, 11666, 1581, 21805, 21401, 689, 15345, 21036, 267, 27228, 267, 547, 15762, 26963, 334, 267, 4993, 269, 4706, 4070, 2838, 10373, 4674, 267, 2200, 267, 543, 9316, 1851, 5215, 540, 4600, 267, 1519, 4457, 11082, 945, 5185, 7130, 2943, 829, 572, 30099, 998, 10792, 2175, 269, 4495, 8737, 267, 713, 4702, 14952, 3648, 4389, 2951, 942, 1063, 5032, 338, 689, 3275, 547, 6071, 2395, 2439, 4089, 476, 276, 281, 8177, 540, 21805, 338, 593, 5980, 454, 305, 841, 30030, 9927, 3232, 1272, 676, 1818, 621, 4443, 585, 3885, 547, 22653, 924, 267, 4213, 547, 1332, 267, 543, 2950, 547, 8853, 269, 1358, 849, 19658, 9235, 267, 7175, 8049, 4961, 547, 2263, 3338, 2484, 2476, 689, 1753, 269, 5047, 267, 789, 23185, 22713, 267, 2870, 6009, 543, 7700, 547, 2804, 2208, 780, 4913, 267, 3356, 3884, 1405, 2141, 3501, 269, 21805, 338, 3006, 19774, 7111, 1977, 11031, 267, 5258, 3484, 4133, 267, 543, 15054, 3106, 4220, 1813, 547, 10913, 610, 30762, 269, 6736, 891, 2591, 267, 1498, 267, 519, 1764, 540, 16456, 338, 3788, 26837, 4192, 780, 14945, 3086, 602, 596, 723, 4121, 827, 519, 4241, 1686, 540, 16456, 338, 267, 1589, 827, 1018, 938, 2729, 1131, 1413, 899, 2221, 952, 713, 5499, 2029, 22821, 1405, 2097, 2059, 269, 14348, 16314, 532, 538, 11397, 2829, 581, 607, 28125, 286, 16393, 6080, 723, 2919, 693, 971, 4028, 11250, 286, 2755, 1100, 835, 6487, 585, 2386, 267, 835, 3364, 568, 1978, 281, 21805, 338, 19117, 3013, 543, 2451, 606, 30170, 1665, 593, 922, 5251, 543, 2528, 269, 0, 2080, 568, 606, 1349, 689, 513, 2546, 912, 257, 3528, 5213, 11146, 454, 763, 1101, 19379, 543, 678, 4545, 1667, 538, 12548, 779, 7823, 2197, 31030, 593, 519, 11315, 9897, 602, 4448, 873, 547, 1142, 824, 543, 547, 519, 1158, 3564, 269, 15019, 12496, 540, 7262, 1686, 3180, 602, 16456, 338, 267, 799, 3357, 547, 519, 7823, 2197, 538, 519, 476, 6642, 271, 338, 267, 5795, 519, 3148, 606, 2804, 5818, 602, 530, 6782, 9897, 1185, 8959, 547, 4625, 17908, 563, 3719, 519, 7823, 4639, 2760, 1223, 581, 16876, 547, 519, 11507, 543, 16131, 602, 1500, 519, 986, 2812, 971, 513, 11636, 3196, 538, 1454, 540, 717, 843, 539, 6520, 3013, 269, 634, 7823, 7178, 14612, 513, 811, 4830, 4155, 267, 543, 1256, 1354, 519, 4417, 540, 519, 18914, 267, 513, 932, 3530, 2465, 6019, 678, 4545, 615, 543, 22267, 21490, 519, 1259, 547, 513, 2413, 19814, 1062, 269, 901, 3923, 267, 649, 5431, 519, 18517, 540, 7338, 16962, 661, 327, 9071, 691, 267, 945, 267, 476, 1911, 1296, 3516, 267, 5280, 3715, 519, 8116, 649, 917, 2221, 607, 519, 12548, 4972, 540, 18815, 563, 307, 269, 808, 269, 661, 327, 9071, 691, 729, 4535, 538, 7027, 18671, 742, 338, 267, 19578, 538, 476, 6977, 280, 269, 3571, 3237, 941, 689, 13325, 543, 941, 16144, 585, 519, 4154, 538, 12548, 530, 3010, 2237, 606, 2502, 543, 3015, 1576, 1770, 538, 513, 1837, 585, 1647, 1153, 1053, 1644, 547, 519, 1349, 1657, 267, 2519, 593, 834, 14946, 618, 540, 21805, 338, 257, 607, 851, 540, 834, 31900, 1299, 22957, 1315, 3778, 2668, 634, 1543, 1058, 581, 3358, 585, 1647, 1153, 1053, 1510, 1991, 1702, 540, 519, 1888, 780, 2521, 547, 1384, 268, 3629, 2143, 3137, 267, 2057, 2930, 3822, 267, 543, 1459, 519, 2093, 538, 513, 3551, 267, 2239, 3159, 563, 268, 3417, 1806, 547, 1118, 519, 1641, 3839, 543, 3078, 585, 1762, 1647, 1153, 1053, 563, 268, 3680, 4304, 519, 1357, 1349, 538, 519, 1837, 269, 1684, 711, 1331, 513, 2140, 610, 2606, 2453, 269, 3399, 1603, 519, 1543, 2047, 269, 0, 8080, 547, 938, 5986, 7045, 1141, 649, 3513, 2263, 519, 4241, 1158, 540, 2604, 5986, 256, 4653, 267, 649, 786, 1445, 593, 2870, 8949, 1567, 2714, 657, 543, 10286, 8286, 1210, 713, 2189, 1505, 269, 5213, 1405, 5855, 952, 596, 10093, 1405 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 630, 320, 318, 272, 513, 318, 273, 910, 536, 318, 272, 536, 318, 273, 264, 1341, 1775, 630, 320, 318, 272, 536, 318, 273, 1341, 536, 318, 272, 513, 318, 273, 264, 3738, 263, 630, 320, 318, 272, 513, 318, 273, 910, 536, 318, 272, 536, 318, 273, 264, 910, 1775, 630, 320, 318, 272, 536, 318, 273, 1341, 536, 318, 272, 513, 318, 273, 264, 3738, 9681, 2330, 263, 320, 318, 272, 317, 273, 1341, 536, 318, 272, 317, 273, 264, 630, 320, 318, 273, 317, 273, 1341, 536, 318, 273, 317, 273, 264, 815, 630, 320, 318, 272, 513, 318, 273, 910, 536, 318, 272, 536, 318, 273, 8203, 273, 1341, 630, 320, 318, 272, 536, 318, 273, 1341, 536, 318, 272, 513, 318, 273, 8203, 273, 9681, 9827, 267, 2094, 519, 1587, 540, 1079, 2338, 952, 519, 3017, 540, 519, 10945, 540, 3368, 741, 2040, 543, 3368, 741, 3017, 10484, 2330, 263, 320, 318, 272, 317, 273, 1341, 536, 318, 272, 317, 273, 7565, 320, 318, 273, 317, 273, 1341, 536, 318, 273, 317, 273, 264, 815, 16733, 320, 318, 272, 317, 273, 1341, 536, 318, 272, 317, 273, 1341, 513, 318, 273, 317, 273, 1341, 536, 318, 273, 317, 273, 8358, 273, 8203, 273, 910, 16733, 320, 318, 272, 317, 273, 1341, 536, 318, 272, 317, 273, 910, 513, 318, 272, 317, 273, 910, 321, 318, 272, 317, 273, 8358, 273, 8203, 273, 9681, 13295, 30967, 320, 318, 272, 513, 318, 273, 910, 536, 318, 272, 536, 318, 273, 8203, 273, 1341, 630, 320, 318, 272, 536, 318, 273, 1341, 536, 318, 272, 513, 318, 273, 8203, 273, 815, 16733, 320, 318, 272, 317, 273, 1341, 536, 318, 272, 317, 273, 1341, 513, 318, 273, 317, 273, 1341, 536, 318, 273, 317, 273, 8358, 273, 8203, 273, 910, 16733, 320, 318, 272, 317, 273, 1341, 536, 318, 272, 317, 273, 910, 513, 318, 272, 317, 273, 910, 321, 318, 272, 317, 273, 8358, 273, 8203, 273, 9681, 2330, 263, 320, 318, 272, 513, 318, 273, 910, 536, 318, 272, 536, 318, 273, 8203, 273, 1341, 630, 320, 318, 272, 536, 318, 273, 1341, 536, 318, 272, 513, 318, 273, 8203, 273, 1341, 16733, 320, 318, 272, 317, 273, 1341, 536, 318, 272, 317, 273, 910, 513, 318, 272, 317, 273, 910, 321, 318, 272, 317, 273, 8358, 273, 8203, 273, 815, 16733, 320, 318, 272, 317, 273, 1341, 536, 318, 272, 317, 273, 1341, 513, 318, 273, 317, 273, 1341, 536, 318, 273, 317, 273, 8358, 273, 8203, 273, 9681, 259, 263, 320, 318, 272, 513, 318, 273, 910, 536, 318, 272, 536, 318, 273, 8203, 273, 1341, 630, 320, 318, 272, 536, 318, 273, 1341, 536, 318, 272, 513, 318, 273, 8203, 273, 259, 711, 723, 14230, 476, 273, 950, 5258, 676, 476, 275, 780, 6546, 568, 1946, 621, 568, 2838, 602, 711, 1312, 18159, 320, 318, 272, 513, 318, 273, 910, 536, 318, 272, 536, 318, 273, 7751, 543, 18159, 320, 318, 272, 536, 318, 273, 1341, 536, 318, 272, 513, 318, 273, 7751, 581, 9642, 780, 298, 1069, 527, 692, 8894, 2710, 596, 917, 602, 596, 666, 946, 1855, 311, 1934, 286, 594, 3773, 13362, 4191, 543, 19156, 865, 594, 1223, 1224, 1018, 596, 5206, 910, 594, 4126, 594, 2322, 873, 782, 538, 519, 1318, 4025, 269, 1107, 1109, 294, 518, 787, 3733, 3205, 4119, 476, 1724, 1412, 1321, 693, 476, 274, 281, 6349, 0, 258, 26592, 25705, 1107, 10934, 540, 4095, 11662, 29242, 2439, 1001, 275, 318, 304, 24520, 476, 1015, 269, 1109, 763, 4786, 540, 519, 4095, 11662, 540, 29242, 2982, 875, 922, 1858, 666, 581, 4114, 13846, 1210, 513, 2241, 2786, 20933, 3337, 269, 634, 3337, 814, 1079, 6252, 5011, 476, 6321, 272, 543, 476, 21327, 5998, 1279, 269, 634, 824, 5011, 616, 476, 5197, 543, 476, 21076, 5998, 1279, 269, 4706, 6252, 5011, 616, 476, 1911, 5998, 6306, 780, 7617, 835, 540, 519, 1739, 5036, 540, 9273, 786, 2285, 519, 1655, 19406, 540, 519, 1858, 540, 29242, 538, 4009, 12919, 2496, 263, 272, 264, 630, 5197, 1341, 476, 21076, 1341, 476, 6321, 272, 1341, 476, 21327, 12684, 1911, 454, 263, 273, 264, 476, 5197, 265, 21076, 1341, 476, 6321, 272, 265, 21327, 454, 263, 274, 264, 476, 1911, 2608, 263, 6321, 272, 266, 21327, 270, 273, 994, 263, 275, 264, 630, 1911, 270, 273, 264, 2608, 630, 21327, 1341, 476, 6321, 272, 2020, 9172, 281, 476, 1109, 763, 11662, 568, 513, 476, 1109, 339, 7275, 345, 1756, 630, 638, 7310, 10561, 609, 835, 6292, 540, 6252, 3515, 5148, 621, 666, 581, 6537, 607, 2630, 1384, 22704, 540, 519, 25671, 1756, 815, 630, 272, 270, 273, 264, 2608, 630, 8999, 540, 519, 6252, 5011, 264, 2608, 3845, 1063, 519, 6252, 5011, 815, 630, 272, 270, 273, 31618, 21327, 266, 476, 6321, 272, 12684, 1911, 269, 26840, 630, 275, 1040, 0, 258, 16387, 20131, 692, 1607, 16387, 20131, 7727, 1900, 8386, 9912, 5528, 585, 6061, 782, 2979, 13542, 269, 1284, 666, 4194, 2979, 2262, 2042, 780, 1012, 634, 7454, 16387, 20131, 692, 10481, 5852, 20131, 568, 513, 6310, 6293, 602, 20674, 547, 4194, 2979, 4834, 269, 5517, 1681, 7223, 568, 513, 1184, 540, 4466, 519, 2188, 540, 513, 1297, 269, 634, 2188, 540, 513, 1297, 616, 519, 2338, 602, 666, 7941, 621, 14961, 269, 1280, 1383, 267, 519, 2188, 540, 476, 277, 616, 476, 272, 267, 476, 273, 267, 476, 274, 267, 543, 476, 277, 269, 634, 2188, 540, 476, 1321, 616, 476, 272, 267, 476, 273, 267, 476, 274, 267, 476, 275, 267, 476, 277, 267, 543, 476, 1321, 269, 5517, 1681, 7223, 568, 513, 1184, 540, 4466, 519, 2188, 540, 606, 15821, 4082, 269, 634, 2188, 540, 606, 15821, 4082, 616, 519, 2474, 602, 666, 581, 16611, 1927, 547, 3132, 519, 10339, 1833, 269, 1280, 1383, 267, 519, 2188, 540, 1535, 317, 273, 20742, 317, 273, 616, 630, 343, 20742, 7565, 343, 3917, 1040, 5517, 1681, 7223, 568, 513, 1184, 540, 4466, 519, 2188, 540, 513, 9971, 269, 634, 2188, 540, 513, 9971, 616, 519, 2474, 602, 666, 581, 16611, 1927, 547, 3132, 519, 9971, 269, 1280, 1383, 267, 519, 2188, 540, 1535, 317, 273, 266, 273, 343, 266, 272, 616, 630, 343, 266, 272, 7565, 343, 266, 272, 1040, 5517, 1681, 7223, 568, 513, 1184, 540, 4466, 519, 6574, 1455, 3815, 540, 1079, 610, 811, 2474, 269, 634, 6574, 1455, 3815, 540, 1079, 610, 811, 2474, 568, 519, 4102, 1297, 602, 666, 7941, 782, 540, 519, 2474, 14961, 269, 1280, 1383, 267, 519, 6574, 1455, 3815, 540, 476, 2190, 543, 476, 3607, 568, 476, 1321, 269, 5517, 1681, 7223, 568, 513, 1184, 540, 28976, 606, 15821, 4082, 676, 28809, 856, 519, 6574, 1455, 3815, 689, 1142, 2165, 269, 1280, 1383, 267, 952, 596, 723, 606, 4082, 971, 607, 476, 273, 343, 317, 273, 266, 277, 343, 266, 275, 267, 596, 666, 3815, 856, 476, 273, 547, 14458, 621, 547, 1535, 263, 273, 343, 266, 274, 11924, 273, 263, 273, 1040, 5517, 1681, 7223, 568, 513, 1184, 799, 666, 581, 1031, 547, 4194, 4834, 543, 1949, 540, 4834, 269, 1677, 3815, 606, 3830, 267, 596, 991, 547, 1265, 1079, 2338, 602, 9062, 547, 2285, 596, 519, 11664, 538, 4395, 540, 519, 4756, 630, 1492, 1297, 538, 4395, 540, 1535, 1070, 543, 1039, 909, 547, 2285, 596, 519, 3586, 2165, 630, 1492, 1297, 693, 519, 1439, 1040, 1280, 1383, 281, 476, 273, 343, 317, 273, 268, 276, 343, 266, 274, 284, 271, 666, 581, 1249, 1819, 607, 630, 273, 343, 268, 274, 7565, 343, 268, 272, 6661, 271, 1677, 4194, 513, 1062, 540, 4834, 676, 28809, 267, 596, 991, 547, 1265, 1079, 2338, 602, 9062, 547, 2285, 596, 835, 540, 707, 14170, 630, 320, 610, 536, 1070, 543, 1039, 909, 547, 2285, 596, 835, 1993, 707, 21635, 630, 322, 610, 546, 1040, 1280, 1383, 281, 476, 273, 343, 20742, 284, 276, 476, 274, 343, 3917, 15871, 272, 666, 581, 1249, 1819, 607, 630, 273, 343, 20742, 7565, 274, 343, 3917, 6661, 263, 276, 7565, 268, 272, 264, 476, 276, 15383, 15871, 276, 476, 280, 343, 317, 273, 268, 276, 284, 3393, 476, 280, 16282, 1532, 15871, 322, 1411, 666, 1287, 4194, 585, 1535, 543, 586, 1210, 2901, 1505, 269, 1403, 596, 1616, 547, 1451, 811, 827, 28809, 7223, 267, 972, 616, 1082, 2200, 2139, 2228, 543, 538, 8021, 269, 1703, 616, 849, 1082, 3301, 3292, 602, 666, 948, 596, 609, 713, 1184, 269, 5517, 1681, 7223, 568, 513, 1184, 602, 666, 581, 1031, 547, 4194, 4834, 543, 1949, 540, 4834, 269, 1635, 28809, 856, 519, 6574, 1455, 3815, 689, 1142, 2165, 267, 596, 666, 14458, 606, 4082, 610, 3830, 269, 1411, 666, 849, 946, 28809, 547, 4194, 1949, 540, 4834, 676, 4466, 1079, 2338, 602, 9062, 547, 2285, 596, 835, 11664, 543, 1039, 909, 547, 2285, 596, 835, 3586, 2165, 269, 1703, 616, 1082, 2200, 2139, 952, 596, 1616, 547, 1451, 811, 827, 28809, 7223, 269, 12229, 3292, 666, 849, 948, 609, 713, 1184, 780, 2691, 621, 2501, 547, 2979, 267, 1169, 2875, 1223, 946, 513, 2370, 3063, 948, 689, 942, 547, 942, 269, 6787, 596, 2811, 10010, 547, 1174, 513, 1523, 610, 1175, 991, 513, 2370, 3063, 2259, 267, 2661, 2979, 948, 666, 1118, 782, 519, 3017, 269, 1703, 616, 513, 1297, 540, 1114, 2081, 547, 1205, 2661, 2979, 948, 267, 1519, 2228, 23468, 543, 6780, 948, 7270, 269, 1717, 267, 835, 540, 519, 1655, 2081, 547, 1205, 2661, 2979, 948, 568, 998, 513, 16335, 813, 269, 1703, 616, 513, 1297, 540, 1390, 8924, 602, 2709, 2661, 2979, 948, 267, 543, 789, 666, 581, 513, 12468, 11232, 950, 596, 2811, 12758, 593, 513, 1966, 269, 2060, 606, 813, 267, 596, 666, 1205, 948, 538, 1483, 6066, 689, 513, 20131, 945, 6487, 875, 547, 2491, 1919, 5693, 269, 9578, 267, 596, 666, 946, 519, 813, 9170, 267, 865, 596, 666, 1205, 948, 2436, 596, 2811, 693, 1753, 610, 593, 519, 979, 269, 1403, 596, 2811, 3168, 585, 2661, 2979, 948, 267, 581, 2386, 547, 2638, 856, 930, 540, 519, 1390, 813, 3681, 2139, 780, 2710, 532, 2979, 6780, 666, 581, 4101, 543, 24858, 269, 1717, 267, 972, 616, 930, 2081, 547, 1118, 621, 1447, 11213, 269, 3689, 267, 621, 568, 1271, 547, 1711, 513, 9602, 267, 796, 5793, 32152, 2230, 538, 799, 547, 960, 269, 901, 786, 948, 7413, 19240, 543, 1450, 596, 547, 1445, 593, 519, 4305, 693, 1688, 269, 19627, 267, 1491, 519, 942, 547, 1224, 519, 5528, 5402, 543, 1174, 1018, 568, 1373, 4280, 1354, 4098, 519, 7084, 269, 901, 786, 4688, 596, 942, 543, 17140, 538, 519, 1279, 2196, 269, 7053, 267, 952, 596, 1205, 12758, 267, 1810, 1405, 581, 12922, 547, 2307, 585, 948, 269, 6787, 621, 781, 513, 3659, 267, 513, 2385, 267, 610, 513, 20131, 267, 1776, 1305, 540, 4064, 666, 1419, 5544, 519, 3070, 547, 513, 1966, 811, 3362, 982, 596, 666, 269, 2060, 513, 2370, 4674, 543, 9639, 267, 2979, 6780, 666, 581, 22482, 2439, 299, 633, 2979, 948, 568, 513, 1390, 4199, 585, 1053, 945, 616, 10010, 609, 2979, 269, 898, 666, 581, 2352, 547, 1832, 909, 609, 519, 10605, 540, 513, 4928, 267, 543, 14970, 2979, 948, 2488, 1053, 609, 519, 4316, 547, 1205, 835, 6823, 14633, 6351, 689, 513, 20131, 269, 14970, 2979, 948, 568, 2523, 6225, 585, 1053, 945, 616, 3308, 6267, 269, 9861, 2111, 547, 1294, 519, 2035, 7152, 2661, 666, 1118, 513, 2462, 3017, 538, 1620, 269, 14970, 2979, 948, 568, 849, 10375, 585, 1053, 945, 723, 11112, 16131, 269, 570, 12781, 616, 2139, 693, 782, 3108, 267, 543, 7886, 666, 581, 16516, 1472, 824, 19647, 269, 6787, 596, 2811, 10010, 609, 9511, 610, 1175, 991, 513, 2370, 3063, 948, 267, 14970, 2979, 948, 568, 513, 1390, 4199, 780, 1012, 6435, 609, 2979, 692, 8649, 5074, 2856, 256, 1411, 666, 1491, 513, 4605, 540, 707, 2979, 1966, 543, 621, 786, 4194, 621, 585, 596, 543, 3391, 596, 998, 519, 1184, 540, 6061, 621, 269, 1411, 666, 3442, 1063, 2409, 540, 6061, 952, 596, 1810, 1405, 899, 519, 835, 621, 3096, 269, 898, 849, 814, 606, 5863, 9498, 799, 596, 666, 849, 946, 547, 4194, 707, 2042, 780, 23173, 8759, 8065, 692, 296, 700, 10976, 292, 713, 813, 865, 1454, 269, 898, 2337, 803, 609, 2979, 6780, 594, 1810, 1405, 1174, 543, 1287, 6941 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 4090, 9731, 763, 3606, 5755, 689, 28740, 31322, 568, 6697, 547, 3592, 476, 1015, 829, 1298, 540, 519, 3592, 476, 272, 16818, 19726, 519, 3148, 3812, 538, 476, 1708, 271, 269, 634, 2197, 779, 1283, 5755, 6721, 11662, 540, 22767, 3495, 5143, 476, 7176, 15183, 547, 6318, 3977, 4390, 676, 476, 4649, 269, 274, 332, 19726, 12422, 267, 1234, 26407, 4080, 563, 5649, 811, 1934, 269, 0, 2467, 568, 513, 2565, 991, 547, 1445, 593, 1818, 3356, 593, 1646, 585, 519, 936, 476, 272, 269, 279, 5479, 1762, 1004, 538, 519, 1158, 269, 634, 2518, 15272, 4886, 12039, 630, 312, 14888, 264, 543, 7797, 1107, 513, 10516, 689, 519, 20448, 547, 519, 1158, 1107, 568, 513, 1907, 799, 2337, 721, 547, 6895, 2242, 538, 519, 3510, 540, 1762, 1004, 282, 21028, 741, 7418, 547, 519, 1158, 282, 543, 1489, 873, 607, 649, 782, 11654, 519, 12655, 4886, 17644, 630, 16256, 19199, 1916, 7437, 713, 3896, 596, 786, 581, 2111, 547, 2263, 519, 8464, 602, 476, 8687, 2477, 723, 4607, 593, 519, 476, 1708, 271, 962, 14888, 1759, 593, 3356, 1500, 585, 6107, 476, 1428, 1107, 476, 3066, 1296, 2025, 538, 476, 277, 2127, 281, 2069, 267, 7694, 543, 4316, 267, 1072, 543, 1134, 5630, 267, 7862, 543, 10014, 267, 2797, 543, 18523, 7589, 543, 4708, 543, 3354, 563, 763, 962, 14888, 6060, 568, 513, 1297, 1063, 476, 271, 543, 476, 272, 267, 609, 513, 6060, 540, 476, 272, 8204, 519, 5207, 1377, 540, 6107, 1646, 269, 18831, 723, 1044, 19882, 883, 6688, 540, 968, 854, 1164, 5608, 968, 14683, 5608, 968, 4364, 1756, 892, 543, 968, 869, 892, 2157, 540, 6107, 1646, 269, 901, 11008, 5314, 9356, 519, 2990, 540, 513, 2197, 593, 513, 8552, 8151, 689, 968, 7758, 8271, 1434, 892, 547, 968, 7758, 8271, 4057, 6100, 634, 18176, 1062, 568, 519, 1482, 607, 519, 835, 602, 24598, 1231, 519, 5274, 4886, 12039, 269, 634, 476, 1708, 271, 962, 14888, 6688, 676, 6060, 616, 912, 347, 25583, 540, 15272, 4886, 1475, 30360, 16186, 2008, 763, 962, 14888, 18793, 454, 763, 476, 1708, 271, 962, 14888, 729, 8242, 676, 519, 4659, 540, 13188, 543, 13458, 630, 296, 7968, 264, 543, 6462, 676, 938, 4891, 519, 2136, 8315, 15510, 10406, 267, 20648, 4659, 585, 10803, 267, 4139, 23267, 9257, 630, 6579, 302, 1070, 2622, 2657, 25944, 630, 21766, 264, 543, 519, 2622, 7813, 269, 1284, 9684, 519, 20448, 15272, 7027, 267, 519, 3979, 5742, 543, 13222, 689, 6608, 267, 543, 1382, 5238, 945, 3177, 15418, 998, 519, 962, 14888, 14502, 6828, 540, 20226, 269, 0, 8310, 3018, 30857, 8242, 922, 3113, 585, 9477, 519, 10865, 2534, 540, 10877, 26105, 593, 519, 6129, 779, 7298, 21571, 269, 12989, 568, 602, 8242, 3113, 267, 23064, 676, 803, 547, 1397, 519, 2250, 543, 1007, 3859, 4783, 11236, 563, 763, 3113, 1657, 814, 1044, 9168, 547, 1397, 519, 11236, 540, 519, 3859, 2257, 2146, 585, 1312, 519, 3105, 543, 14232, 3859, 5021, 338, 269, 634, 3039, 14258, 1397, 519, 2146, 779, 1079, 3312, 11236, 689, 4989, 476, 1220, 278, 585, 519, 3105, 5021, 267, 609, 3368, 519, 3744, 17782, 513, 1360, 2178, 5021, 543, 3368, 17782, 513, 4617, 835, 269, 634, 4544, 7455, 568, 741, 15428, 2904, 476, 1220, 280, 12605, 269, 634, 2699, 7455, 568, 519, 1007, 12605, 267, 1101, 11540, 676, 30857, 538, 4989, 476, 1708, 271, 563, 10303, 540, 519, 1374, 540, 713, 3113, 267, 2847, 2086, 539, 676, 30857, 538, 4989, 267, 621, 568, 2352, 693, 713, 4336, 2443, 799, 585, 2796, 2982, 1312, 519, 2250, 4783, 543, 519, 10567, 2104, 4783, 2443, 547, 1294, 519, 1840, 540, 519, 4989, 10877, 13607, 2698, 267, 950, 3379, 547, 2063, 3923, 779, 3113, 269, 11565, 803, 267, 621, 568, 972, 269, 769, 4989, 10877, 13607, 2534, 4682, 909, 267, 855, 959, 643, 6053, 865, 267, 609, 1152, 2185, 10877, 26105, 1282, 519, 3923, 267, 1614, 540, 799, 1185, 513, 6419, 8701, 640, 26471, 873, 547, 519, 1985, 3859, 5021, 563, 763, 3859, 5934, 3788, 1360, 2620, 267, 4514, 982, 519, 1360, 2620, 3105, 5934, 267, 543, 7654, 519, 2547, 3742, 538, 1079, 4627, 1296, 269, 634, 4527, 2705, 540, 811, 10877, 26105, 585, 519, 1007, 4783, 18791, 519, 20772, 602, 649, 786, 711, 581, 10024, 513, 6264, 5934, 267, 609, 1100, 10877, 26105, 585, 5756, 269, 898, 1175, 5526, 602, 267, 607, 10567, 267, 519, 1985, 3859, 5021, 786, 581, 513, 1360, 4617, 835, 563, 1692, 713, 4617, 2534, 786, 1198, 519, 2916, 3788, 606, 7164, 269, 769, 519, 2250, 267, 971, 607, 519, 4617, 5021, 602, 1175, 8694, 607, 1134, 607, 1282, 2250, 4617, 5021, 338, 693, 519, 4098, 540, 519, 476, 5197, 271, 338, 543, 519, 476, 5002, 271, 338, 267, 519, 3047, 779, 2916, 22799, 269, 898, 849, 22799, 1282, 519, 9741, 10979, 6520, 538, 519, 476, 8182, 271, 338, 267, 1282, 519, 2063, 6264, 5934, 563, 15371, 519, 1482, 786, 4755, 538, 519, 1985, 8717, 3788, 7164, 269, 6820, 8337, 15628, 786, 3409, 7543, 267, 649, 616, 782, 2469, 547, 5884, 689, 23986, 908, 269, 634, 1239, 585, 519, 2250, 8717, 18327, 873, 4636, 267, 1498, 538, 519, 4947, 1296, 789, 1522, 581, 642, 785, 5344, 563, 5472, 649, 666, 798, 568, 7227, 267, 2628, 3007, 547, 519, 1239, 267, 543, 1118, 938, 8753, 689, 602, 563, 8923, 2015, 1810, 908, 547, 19992, 519, 4563, 267, 676, 4758, 2901, 513, 835, 6066, 9295, 610, 513, 2834, 20478, 267, 607, 13890, 538, 519, 9133, 20220, 2630, 269, 2659, 1489, 786, 1450, 803, 547, 3136, 8720, 2257, 543, 2528, 607, 594, 723, 585, 519, 2250, 8938, 1296, 267, 4830, 543, 1863, 689, 1022, 3544, 3310, 563, 7312, 1489, 568, 1256, 811, 1898, 547, 803, 1317, 594, 1832, 713, 3135, 1863, 689, 22099, 543, 798, 711, 7119, 538, 18348, 1514, 2923, 3549, 899, 5616, 267, 12108, 267, 543, 9365, 269, 594, 4096, 28025, 593, 519, 1463, 1489, 540, 1250, 3988, 563, 2791, 666, 1683, 602, 1489, 547, 19992, 634, 4563, 609, 513, 9295, 3842, 4793, 516, 517, 610, 9796, 21595, 269, 1677, 946, 4793, 516, 517, 267, 979, 547, 1250, 3896, 972, 543, 4584, 835, 540, 2947, 10865, 20478, 5666, 267, 610, 676, 1818, 513, 835, 6066, 21856, 269, 1280, 9796, 21595, 4945, 835, 540, 519, 1739, 16181, 912, 2252, 4793, 516, 517, 610, 9796, 25659, 1810, 1405, 960, 585, 596, 267, 596, 666, 1489, 19992, 634, 4563, 2047, 676, 11488, 707, 21856, 676, 2638, 267, 2628, 762, 547, 7917, 2098, 20810, 2006, 267, 547, 454, 6826, 16442, 634, 4563, 454, 322, 270, 334, 7917, 2098, 20810, 2006, 454, 290, 677, 16619, 267, 589, 313, 476, 5952, 277, 7367, 0, 2690, 1053, 267, 2542, 21711, 568, 513, 1883, 3693, 540, 741, 2069, 269, 1879, 1053, 666, 1224, 2770, 1836, 267, 741, 8223, 540, 519, 1257, 4679, 269, 901, 1797, 789, 616, 2111, 547, 1174, 1018, 789, 616, 2542, 811, 5693, 267, 799, 5012, 547, 811, 4977, 1620, 543, 1732, 12802, 563, 2026, 1134, 607, 29000, 8223, 267, 2542, 21711, 5849, 1053, 616, 811, 7722, 609, 519, 1257, 543, 811, 12592, 547, 1224, 269, 1879, 596, 616, 2111, 547, 1224, 2770, 1836, 267, 519, 957, 540, 2542, 3587, 2484, 811, 11791, 269, 1280, 713, 2601, 267, 31402, 3988, 616, 811, 2693, 547, 8362, 3343, 856, 2835, 547, 1224, 267, 1312, 585, 12257, 543, 4081, 1565, 269, 1809, 1018, 4010, 568, 2542, 21711, 543, 1946, 568, 621, 1271, 888, 1432, 568, 2542, 21711, 888, 20091, 21711, 4016, 547, 606, 1367, 779, 2702, 547, 1224, 8308, 543, 609, 3432, 543, 1697, 4082, 269, 2755, 2542, 21711, 4016, 1312, 547, 2542, 16965, 543, 547, 835, 779, 1582, 267, 621, 666, 581, 1034, 3362, 12290, 676, 6998, 513, 2875, 547, 1224, 856, 10978, 563, 2252, 519, 2875, 14509, 7444, 267, 588, 3518, 956, 936, 513, 2262, 267, 610, 17337, 5220, 538, 1952, 10187, 2299, 267, 621, 949, 5815, 4389, 2542, 21711, 269, 17957, 267, 952, 513, 2875, 568, 2111, 547, 1224, 609, 3617, 3432, 543, 8591, 703, 29396, 543, 4082, 267, 741, 2542, 21711, 568, 2693, 547, 581, 3648, 2362, 563, 3963, 1281, 2542, 21711, 2339, 888, 288, 2875, 779, 2702, 547, 1224, 2770, 1836, 814, 513, 2101, 1764, 593, 741, 2069, 269, 634, 2838, 2542, 4679, 3648, 693, 1053, 685, 1935, 5580, 10026, 1153, 267, 865, 4057, 2542, 21711, 666, 1267, 538, 1053, 9991, 3297, 563, 8170, 1576, 267, 607, 1053, 3356, 2417, 998, 519, 2069, 1062, 267, 519, 2179, 540, 2838, 2542, 4679, 28354, 269, 5015, 267, 519, 7411, 540, 519, 1257, 1053, 946, 4679, 9935, 563, 2252, 1053, 616, 8572, 547, 1224, 2770, 1836, 267, 789, 786, 1265, 621, 1454, 9875, 547, 10146, 1257, 269, 901, 1419, 5012, 547, 1053, 9991, 3297, 741, 9905, 543, 7508, 741, 1565, 6859, 269, 1306, 4057, 2542, 21711, 568, 1419, 10630, 676, 3500, 2542, 3432, 267, 1053, 786, 849, 1265, 621, 9875, 547, 1205, 998, 519, 2179, 540, 2542, 602, 568, 2838, 2429, 741, 4081, 11678, 563, 10743, 609, 513, 1164, 2557, 540, 2542, 21711, 786, 581, 2111, 547, 1224, 519, 5931, 2838, 1454, 811, 3533, 855, 267, 2629, 569, 267, 789, 786, 723, 513, 1732, 1620, 540, 1018, 789, 616, 2542, 269, 901, 568, 3335, 10630, 538, 26556, 2157, 543, 10781, 267, 799, 568, 835, 540, 519, 4128, 1946, 2542, 21711, 568, 865, 1271, 563, 32575, 2542, 21711, 7965, 454, 2005, 568, 1898, 602, 3610, 543, 3237, 2697, 950, 1053, 723, 2152, 609, 2542, 21711, 269, 634, 19692, 602, 21711, 2994, 666, 581, 1031, 547, 3986, 513, 2875, 779, 2542, 5759, 267, 519, 1447, 4960, 972, 568, 540, 873, 10010, 547, 2347, 1362, 1740, 543, 6780, 563, 11795, 2159, 625, 609, 2542, 21711, 666, 1459, 538, 513, 1297, 540, 2081, 855, 519, 1034, 1455, 616, 912, 268, 14171, 513, 1279, 942, 547, 1224, 513, 8574, 454, 268, 11109, 1100, 5114, 547, 519, 1257, 950, 2542, 454, 268, 853, 559, 1540, 2542, 267, 3006, 609, 11991, 533, 13415, 1063, 1913, 454, 268, 25021, 835, 779, 5023, 950, 2542, 3623, 1836, 267, 607, 952, 11913, 1944, 519, 1913, 454, 268, 853, 22824, 936, 1913, 267, 3226, 950, 2542, 16965, 454, 268, 9293, 616, 711, 5116, 883, 6209, 4559, 454, 268, 1879, 2542, 16965, 267, 972, 568, 1100, 1689, 538, 703, 29396, 454, 268, 3502, 2921, 513, 2736, 1063, 9433, 610, 5220, 454, 268, 717, 1115, 21616, 950, 2542, 454, 4407, 3237, 949, 5469, 741, 1126, 779, 7965, 3842, 8343, 267, 3610, 666, 849, 946, 10526, 547, 3313, 513, 2875, 779, 5711, 2542, 21711, 269, 589, 2875, 949, 581, 4280, 547, 1224, 16965, 267, 585, 1383, 267, 543, 741, 4116, 786, 2268, 875, 1082, 1913, 789, 1224, 8308, 1369, 513, 835, 18826, 942, 18134, 563, 268, 15206, 476, 1015, 1913, 829, 8792, 454, 268, 5664, 540, 6103, 2290, 476, 2537, 1913, 829, 8792, 454, 268, 5664, 540, 6103, 5565, 476, 7761, 1913, 829, 8792, 454, 268, 5664, 540, 6103, 8422, 476, 10844, 1913, 829, 8792, 454, 268, 5664, 540, 6103, 9050, 476, 12208, 1913, 829, 8792, 454, 268, 5664, 540, 6103, 12866, 476, 9610, 1913, 829, 8792, 454, 5804, 3446, 2947, 27477, 267, 513, 2875, 779, 2542, 21711, 1058, 6923, 2333, 2509, 519, 3328, 1297, 540, 4977, 1913, 829, 8792, 585, 4079, 267, 799, 568, 476, 1220, 268, 7742, 563, 18719, 1324, 21711, 538, 2542, 454, 5472, 1053, 786, 581, 6026, 875, 547, 1224, 2770, 1836, 267, 4352, 930, 949, 2154, 811, 6351, 982, 1866, 269, 12071, 1890, 2994, 616, 1031, 2429, 1153, 547, 2327, 513, 1126, 779, 2542, 21711, 568, 3328, 610, 1657, 267, 610, 538, 1899, 609, 741, 1378, 9072, 563, 2467, 616, 513, 3099, 540, 2542, 21711, 2238, 602, 616, 1031, 538, 519, 4928, 547, 3986, 1053, 685, 5759, 563, 16248, 540, 519, 1034, 1455, 2542, 21711, 2994, 616, 912, 268, 15901, 730, 2542, 454, 268, 11819, 9781, 454, 268, 18776, 5464, 454, 10743, 616, 9415, 547, 1224, 519, 1482, 1570, 14578, 2394, 741, 6111, 267, 4082, 267, 543, 703, 29396, 616, 8476, 269, 1306, 1053, 1831, 811, 5432, 609, 519, 1257, 267, 741, 2702, 547, 1224, 621, 2770, 1836, 10607, 543, 741, 6015, 568, 5818, 539, 1932, 563, 30108, 9781, 666, 1491, 1585, 3029, 267, 1519, 912, 268, 23866, 29374, 2542, 454, 268, 25398, 29374, 2542, 454, 268, 11819, 29374, 2542, 454, 268, 27096, 673, 23666, 454, 12179, 2875, 945, 814, 513, 1434, 2631, 540, 4098, 4992, 543, 693, 2547, 15823, 8289, 1913, 666 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 540, 922, 10066, 543, 4087, 780, 1262, 20245, 17607, 5093, 2598, 2821, 540, 23987, 2326, 19100, 267, 9657, 8164, 2009, 780, 1262, 3721, 476, 276, 281, 12305, 1715, 4406, 557, 25951, 4373, 12648, 519, 1007, 11896, 5614, 543, 7696, 621, 883, 519, 2953, 2990, 267, 4180, 1697, 10066, 780, 265, 1325, 793, 519, 5614, 27810, 609, 519, 11896, 6565, 563, 453, 266, 7638, 1518, 519, 5614, 568, 27206, 2879, 1872, 569, 1510, 7050, 3196, 563, 265, 26431, 10920, 12304, 519, 11896, 5614, 26468, 1907, 1247, 5329, 519, 5614, 538, 1747, 563, 453, 266, 19321, 1852, 1282, 10920, 16054, 547, 2061, 6727, 5322, 780, 1262, 5938, 600, 1740, 5093, 11622, 622, 609, 1866, 950, 2324, 593, 1950, 3785, 267, 4687, 9021, 543, 6791, 780, 1262, 3721, 476, 277, 281, 1234, 13318, 718, 4406, 557, 11354, 4825, 664, 619, 4373, 20278, 519, 1007, 11677, 518, 936, 519, 11896, 5614, 267, 26936, 621, 7157, 780, 265, 27387, 519, 5892, 6569, 30021, 1394, 883, 1747, 267, 9395, 2287, 621, 18172, 563, 453, 266, 15233, 9543, 267, 5812, 3196, 547, 2057, 4174, 6137, 16060, 563, 265, 570, 697, 523, 519, 30021, 538, 513, 5182, 4806, 630, 31259, 2287, 835, 561, 1872, 5594, 267, 1287, 3001, 547, 519, 1985, 264, 547, 2226, 1256, 2604, 780, 1262, 31636, 10341, 5093, 22682, 2769, 3054, 950, 7713, 2152, 610, 31392, 6351, 267, 9319, 13509, 780, 23558, 256, 1411, 4312, 6707, 4957, 707, 1101, 11896, 5614, 2439, 2026, 596, 3136, 3695, 938, 8748, 4541, 267, 3314, 547, 3251, 8049, 267, 3082, 547, 1007, 3871, 267, 543, 3343, 5583, 950, 2556, 269, 8414, 1565, 267, 3659, 256, 0, 2237, 513, 1279, 543, 1360, 2143, 5850, 593, 834, 27087, 4406, 557, 25951, 257, 538, 519, 2511, 540, 14392, 547, 606, 9813, 3957, 7705, 945, 1175, 15354, 593, 3047, 543, 814, 4642, 1702, 540, 519, 1158, 543, 1480, 4205, 269, 3417, 538, 3829, 3137, 585, 1142, 1900, 543, 782, 519, 2596, 1344, 827, 519, 2168, 543, 1480, 4205, 3238, 269, 1684, 711, 1289, 7705, 606, 9813, 269 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 281, 10439, 1047, 2565, 5989, 1239, 563, 268, 7689, 476, 278, 281, 10576, 1271, 1344, 1949, 543, 2708, 741, 2956, 563, 268, 7689, 476, 279, 281, 10576, 543, 20272, 519, 32144, 687, 543, 29444, 540, 1344, 1949, 563, 268, 7689, 476, 280, 281, 10312, 593, 811, 2565, 2533, 543, 3922, 1047, 707, 2238, 563, 268, 7689, 476, 1015, 281, 10576, 6937, 543, 16426, 563, 268, 7689, 476, 1556, 281, 8178, 519, 1764, 540, 3028, 21463, 563, 268, 7689, 476, 1321, 281, 8178, 519, 4220, 2404, 609, 519, 3028, 543, 1344, 1062, 563, 268, 7689, 476, 1724, 281, 25956, 519, 2556, 3354, 3800, 563, 268, 7689, 476, 1691, 281, 8073, 513, 8647, 13539, 547, 2149, 595, 2862, 563, 268, 7689, 476, 1428, 281, 7427, 6042, 547, 2087, 519, 6880, 6043, 540, 2565, 5989, 2533, 563, 268, 7689, 476, 1626, 281, 8178, 519, 3354, 1377, 540, 707, 1344, 1949, 3054, 543, 2307, 5007, 4966, 547, 2708, 873, 607, 1134, 563, 268, 7689, 476, 1704, 281, 2480, 534, 5121, 3054, 543, 2307, 5007, 4966, 547, 11571, 873, 607, 1134, 547, 1265, 519, 1949, 602, 12582, 1406, 581, 4448, 547, 519, 5769, 855, 1869, 616, 563, 268, 7689, 476, 1240, 281, 16259, 1870, 15364, 543, 9568, 6051, 4566, 543, 1449, 873, 693, 10257, 11996, 563, 268, 7689, 476, 866, 281, 19372, 6325, 1894, 543, 2226, 873, 563, 268, 7689, 476, 736, 281, 9523, 1344, 543, 581, 513, 851, 540, 5121, 1141, 1344, 568, 3838, 563, 268, 7689, 476, 2641, 281, 21541, 1004, 547, 1118, 2386, 789, 616, 3222, 540, 6880, 6937, 543, 917, 519, 2953, 7180, 563, 268, 7689, 476, 2420, 281, 1403, 519, 595, 2862, 4027, 1062, 1281, 711, 960, 607, 9709, 610, 2285, 519, 5551, 3977, 267, 1118, 9283, 563, 268, 7689, 476, 2537, 281, 2142, 5423, 547, 1683, 2565, 5989, 2533, 1510, 8668, 1949, 269, 1403, 2009, 267, 2569, 13829, 593, 8668, 1949, 269, 1403, 2009, 267, 1282, 513, 6433, 267, 1683, 2565, 2533, 693, 4389, 10342, 543, 5924, 538, 4389, 12531, 269, 0, 20124, 689, 5440, 2762, 540, 6833, 4592, 538, 12670, 454, 2568, 962, 292, 12678, 17985, 302, 454, 9213, 5125, 568, 26621, 1346, 16586, 945, 8362, 10353, 13303, 28112, 15967, 269, 476, 2568, 1296, 3516, 2221, 519, 1034, 4583, 4729, 547, 6146, 29747, 13609, 609, 513, 5618, 13826, 10514, 729, 13986, 676, 2051, 269, 1849, 9476, 3400, 325, 2480, 1156, 330, 13153, 853, 879, 742, 28086, 1299, 930, 540, 1010, 10492, 269, 853, 879, 742, 28086, 5116, 519, 10514, 538, 513, 10554, 4055, 609, 13609, 267, 855, 950, 519, 13303, 6205, 23012, 519, 19046, 267, 519, 18211, 4531, 520, 543, 1010, 16649, 2176, 941, 18486, 543, 13401, 269, 901, 4729, 568, 1175, 835, 1383, 540, 4550, 9539, 21532, 4187, 676, 16586, 269, 853, 879, 742, 28086, 1071, 15926, 2869, 2209, 20727, 269, 2637, 269, 7009, 940, 13153, 570, 637, 1188, 578, 543, 20727, 269, 2637, 269, 17713, 744, 3122, 941, 2907, 28321, 607, 2038, 607, 476, 4350, 275, 547, 3142, 13609, 1524, 269, 769, 22540, 267, 1053, 4646, 634, 6519, 14986, 3350, 267, 26084, 30732, 7410, 28409, 834, 10139, 633, 4187, 257, 4358, 538, 476, 3707, 273, 269, 29581, 3578, 6276, 13153, 20703, 339, 651, 781, 918, 516, 529, 879, 17781, 3323, 2324, 538, 5728, 547, 1439, 519, 28983, 1222, 538, 476, 3707, 271, 269, 6145, 853, 879, 742, 28086, 267, 13153, 570, 637, 1188, 578, 267, 744, 3122, 267, 13153, 20703, 339, 651, 543, 519, 21246, 1023, 540, 634, 6519, 14986, 941, 2901, 13401, 676, 519, 21647, 610, 8149, 11980, 269, 4436, 5518, 9710, 560, 918, 4141, 327, 2401, 688, 6150, 519, 5147, 476, 736, 4729, 1562, 607, 834, 6312, 686, 1824, 257, 607, 834, 16269, 1705, 1018, 789, 1705, 585, 5125, 267, 585, 519, 1582, 9113, 1051, 540, 938, 2197, 543, 585, 513, 1732, 2104, 1701, 0, 29638, 5107, 543, 3347, 1369, 3885, 1557, 454, 23991, 267, 7365, 267, 543, 4008, 5107, 3594, 281, 1271, 729, 519, 1920, 538, 519, 1514, 3347, 540, 875, 723, 17788, 531, 5107, 4957, 1369, 519, 1920, 269, 476, 736, 8650, 1557, 12987, 593, 4008, 5107, 585, 2404, 609, 1142, 4008, 519, 2078, 1063, 3023, 543, 4008, 5107, 281, 875, 3885, 543, 7365, 269, 17291, 2635, 3347, 4008, 5107, 1299, 3347, 8263, 5539, 607, 519, 968, 30103, 7773, 1676, 892, 540, 519, 1920, 581, 9308, 10694, 269, 1284, 616, 538, 3018, 8370, 540, 713, 19496, 17489, 4081, 1603, 1362, 543, 621, 568, 942, 547, 2253, 4058, 585, 519, 2034, 1557, 7084, 649, 723, 1224, 1614, 4930, 593, 4008, 5107, 543, 5941, 269, 4828, 593, 2757, 4008, 1909, 3045, 773, 23296, 19924, 698, 601, 544, 3464, 561, 826, 321, 2041, 327, 639, 523, 3284, 1893, 543, 5888, 476, 1789, 23891, 4231, 267, 476, 1001, 274, 14920, 543, 4008, 281, 1018, 568, 519, 1198, 540, 15366, 3347, 593, 513, 269, 634, 5107, 540, 19052, 7819, 18971, 723, 22888, 543, 3347, 723, 1044, 540, 519, 5107, 602, 19052, 7819, 18971, 1404, 1369, 3885, 269, 31932, 519, 942, 547, 4283, 883, 1279, 3856, 3347, 267, 4008, 5107, 538, 741, 3885, 3932, 4008, 5107, 4008, 5107, 538, 7365, 543, 519, 1920, 563, 29638, 5107, 538, 519, 7819, 1920, 875, 519, 4008, 5107, 4268, 1369, 19052, 4008, 5107, 543, 6788, 568, 513, 2629, 3693, 538, 1920, 3347, 269, 17716, 3023, 1920, 1272, 713, 1557, 8385, 729, 543, 972, 568, 513, 2603, 4636, 609, 3023, 626, 1360, 12145, 4008, 5107, 267, 14054, 14868, 543, 4008, 269, 2060, 9038, 543, 8951, 1369, 513, 2016, 2021, 267, 2367, 267, 543, 519, 4657, 1909, 540, 4008, 538, 11776, 3347, 609, 1920, 543, 2828, 538, 269, 1703, 568, 513, 16795, 4687, 540, 4008, 5107, 1369, 519, 4687, 540, 4008, 5107, 1369, 519, 1920, 540, 4008, 16526, 538, 7008, 3347, 269, 13834, 8635, 1557, 676, 799, 616, 6161, 585, 519, 10103, 543, 4835, 543, 3929, 12602, 1369, 519, 1920, 6026, 547, 3398, 519, 4008, 268, 14337, 15523, 563, 23991, 4008, 5107, 1382, 1957, 5107, 568, 4105, 585, 782, 1346, 5461, 538, 519, 15257, 540, 1920, 543, 3347, 17161, 1920, 4008, 543, 1557, 269, 13834, 5107, 543, 519, 1920, 1557, 18949, 1082, 540, 519, 2093, 7282, 1920, 543, 741, 5107, 1369, 602, 519, 1920, 4008, 5107, 543, 3347, 269, 5274, 14920, 4008, 5107, 538, 4008, 5107, 538, 13314, 15257, 1557, 13561, 543, 2724, 20536, 540, 519, 1920, 1082, 3494, 602, 519, 1514, 4008, 7934, 269, 6468, 4008, 5107, 538, 2486, 1557, 4008, 5107, 1369, 513, 3673, 626, 2486, 789, 1265, 3106, 538, 3850, 519, 5256, 547, 20441, 519, 2078, 519, 22347, 1170, 633, 563, 29638, 5107, 616, 5094, 3270, 789, 3833, 25747, 6659, 3885, 543, 543, 11442, 18114, 267, 782, 540, 799, 948, 5965, 873, 547, 957, 1369, 2757, 5256, 4008, 269, 589, 3992, 1544, 689, 1272, 4058, 2069, 281, 513, 6107, 1646, 1982, 3483, 281, 547, 4983, 875, 4008, 5107, 1860, 3347, 2326, 281, 6205, 781, 4199, 267, 4008, 1909, 2013, 2090, 269, 4828, 4008, 5107, 1453, 1451, 689, 741, 1557, 270, 3410, 1957, 281, 4008, 5107, 1557, 543, 1453, 6367, 13054, 1152, 476, 1015, 2600, 540, 3885, 519, 1909, 269, 3367, 713, 1557, 593, 1210, 1570, 689, 6221, 543, 11992, 267, 2708, 519, 2070, 602, 4008, 5107, 543, 3347, 723, 3964, 1369, 519, 1920, 543, 519, 563, 29638, 5107, 543, 3347, 1369, 3885, 1557, 454, 32487, 1644, 547, 1920, 267, 7365, 267, 543, 4008, 5107, 538, 519, 4008, 1909, 7084, 1369, 519, 1920, 540, 2078, 568, 519, 3668, 540, 835, 2385, 1909, 269, 13834, 5107, 543, 3347, 1369, 3885, 1114, 1914, 5505, 723, 1185, 1114, 5784, 547, 2436, 17788, 531, 5107, 723, 1831, 3160, 563, 29638, 5107, 543, 3347, 723, 1831, 811, 3160, 538, 2413, 1920, 1272, 1557, 3732, 1753, 1557, 5439, 4008, 5107, 543, 3347, 723, 1831, 811, 3160, 538, 2413, 1920, 1272, 269, 23549, 896, 713, 1888, 3382, 1007, 1382, 593, 5256, 1922, 24580, 3347, 267, 4008, 6498, 540, 4074, 538, 3885, 1315, 4008, 1299, 14920, 1007, 5107, 538, 960, 543, 269, 9137, 827, 4008, 5107, 538, 1920, 543, 519, 2956, 540, 9301, 4008, 5107, 605, 330, 1968, 659, 558, 21189, 4930, 593, 1920, 543, 2078, 1851, 1920, 2818, 269, 13834, 1909, 7130, 949, 581, 2808, 676, 2021, 543, 4008, 5107, 15257, 1557, 543, 519, 2360, 540, 4008, 5107, 538, 6935, 547, 6689, 267, 1920, 1272, 269, 4317, 3123, 4008, 5107, 4965, 1072, 543, 4965, 543, 875, 789, 9305, 547, 4008, 5107, 1369, 513, 2757, 6498, 540, 5107, 538, 519, 1920, 563, 29638, 5107, 543, 3347, 1369, 3885, 1114, 1914, 5505, 723, 1185, 1114, 5784, 547, 2436, 17788, 531, 5107, 723, 1831, 3160, 3173, 723, 6027, 1114, 3344, 540, 269, 901, 1557, 593, 4008, 5107, 543, 11475, 729, 2854, 538, 8878, 540, 2021, 1451, 1946, 1082, 540, 519, 26608, 18727, 4978, 2486, 814, 827, 2021, 616, 7301, 269, 10017, 3584, 585, 707, 1382, 4574, 3347, 543, 519, 1920, 4008, 1369, 519, 1888, 540, 4008, 596, 666, 4008, 3961, 543, 4008, 5107, 538, 269, 10749, 1644, 547, 1920, 543, 4008, 476, 272, 2078, 7965, 609, 9905, 267, 1920, 2790, 519, 4008, 1909, 7084, 1369, 519, 1920, 12090, 689, 269, 4635, 1570, 689, 6221, 476, 273, 321, 543, 11992, 267, 2708, 519, 2070, 602, 4008, 5107, 543, 3347, 723, 1831, 811, 3160, 538, 2413, 1920, 1272, 476, 2190, 7436, 269, 6987, 847, 338, 689, 713, 3561, 4367, 4983, 519, 2070, 602, 4008, 5107, 543, 3347, 723, 1831, 811, 3160, 538, 2413, 1920, 1272, 538, 519, 1576, 540, 1686, 267, 2486, 814, 8810, 547, 269 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 7585, 267, 7234, 4948, 3871, 543, 1818, 3664, 1759, 593, 1455, 2631, 269, 2422, 2241, 2474, 543, 513, 2067, 267, 2502, 3159, 269, 24372, 2521, 547, 281, 8528, 268, 19308, 2055, 543, 4267, 602, 12172, 519, 1888, 543, 1683, 4052, 1806, 543, 3137, 540, 1946, 1919, 4755, 267, 2014, 7146, 13716, 3347, 267, 543, 875, 1004, 3335, 2170, 538, 891, 3871, 269, 3097, 268, 20864, 7653, 602, 2154, 1620, 15749, 8100, 543, 13865, 10881, 547, 8207, 13509, 269, 3097, 2710, 711, 2446, 519, 1357, 1349, 543, 11716, 3877, 13061, 547, 519, 1888, 269, 0, 17138, 281, 1215, 547, 5192, 8837, 476, 278, 31597, 692, 20360, 3298, 476, 278, 31597, 568, 606, 5665, 1062, 2919, 676, 9786, 607, 851, 540, 922, 8837, 476, 278, 3126, 269, 898, 3091, 4359, 2934, 602, 8597, 547, 1312, 1753, 543, 1870, 3755, 7567, 269, 901, 3391, 786, 3802, 596, 998, 13844, 713, 4528, 540, 519, 3301, 1247, 3246, 9488, 3137, 543, 3730, 4388, 2059, 519, 1259, 269, 7490, 4063, 602, 11449, 610, 23842, 9758, 12215, 540, 8837, 476, 278, 31597, 5849, 6099, 2773, 267, 3354, 10311, 267, 543, 2930, 1489, 689, 9786, 780, 1262, 3721, 476, 272, 281, 14419, 2659, 8950, 781, 3281, 520, 2225, 12533, 6524, 16565, 8837, 476, 278, 31597, 267, 2638, 952, 707, 2780, 666, 2196, 621, 12347, 269, 16731, 519, 4013, 9786, 3896, 547, 1569, 741, 1863, 8837, 476, 278, 5455, 14079, 20180, 528, 1907, 269, 8281, 543, 3888, 519, 1982, 267, 1287, 11571, 707, 1062, 585, 1761, 2152, 269, 634, 25129, 786, 2697, 1022, 8800, 610, 3301, 3334, 602, 949, 991, 18175, 15665, 1354, 10380, 780, 1262, 3721, 476, 273, 281, 7994, 2659, 6396, 540, 21733, 9974, 12533, 2467, 616, 1079, 3119, 2409, 547, 3489, 8837, 476, 278, 31597, 910, 2168, 23861, 6718, 610, 3059, 4647, 269, 4825, 841, 8637, 4163, 4216, 539, 8747, 5627, 1587, 10569, 543, 10380, 25923, 282, 2705, 267, 8244, 1522, 581, 3908, 1813, 547, 2085, 269, 7913, 28085, 616, 4922, 3015, 3842, 2228, 2344, 17541, 899, 8835, 267, 3026, 933, 1375, 267, 610, 2047, 689, 9786, 630, 21671, 1247, 7727, 2063, 1040, 11408, 2327, 519, 29449, 2488, 16048, 543, 1875, 7721, 18944, 1587, 10569, 780, 1262, 3721, 476, 274, 281, 27619, 8837, 476, 278, 31597, 12533, 5629, 596, 723, 6074, 707, 9053, 11601, 1505, 267, 8399, 609, 519, 11834, 1739, 3044, 552, 19645, 5773, 269, 5901, 3950, 540, 2256, 328, 14186, 543, 1045, 7860, 2094, 789, 2270, 1898, 1344, 971, 607, 1931, 2338, 543, 7389, 269, 1452, 6054, 4196, 607, 6169, 540, 9562, 543, 948, 8207, 2104, 13882, 3823, 16306, 780, 1262, 3721, 476, 275, 281, 5136, 1555, 519, 8605, 6206, 12533, 26796, 3811, 12032, 540, 707, 6718, 267, 23074, 519, 2189, 1587, 1883, 3177, 2901, 9308, 610, 25274, 269, 1280, 10685, 12215, 267, 1265, 519, 476, 1839, 7302, 541, 1461, 21229, 534, 10179, 545, 3009, 9102, 593, 519, 3544, 540, 519, 4216, 610, 3330, 519, 11183, 7258, 519, 10380, 2923, 269, 1403, 12349, 25274, 267, 1413, 585, 4757, 539, 21533, 5627, 519, 1587, 1883, 610, 1569, 621, 998, 707, 2272, 593, 519, 22673, 781, 3896, 269, 16440, 713, 2629, 4062, 540, 1344, 18172, 22356, 543, 2057, 4687, 621, 15597, 547, 2061, 21568, 780, 1262, 3721, 476, 276, 281, 8281, 12305, 566, 9012, 12533, 2252, 596, 11751, 513, 3059, 5299, 267, 4647, 519, 18869, 3239, 3758, 7222, 547, 8837, 476, 278, 31597, 689, 519, 3095, 3177, 676, 519, 22673, 269, 2422, 11967, 2959, 1152, 547, 2057, 18453, 4220, 2404, 609, 19266, 730, 1543, 269, 1323, 18869, 3758, 568, 606, 3169, 18187, 320, 540, 513, 7131, 22230, 13748, 10710, 607, 835, 2582, 3758, 799, 2115, 10868, 1210, 7463, 2645, 899, 12736, 305, 2752, 267, 476, 278, 19053, 760, 267, 610, 5295, 3041, 302, 269, 17968, 267, 1711, 18849, 762, 18292, 11479, 1210, 681, 18860, 639, 610, 6167, 564, 321, 2393, 514, 780, 1262, 3721, 476, 277, 281, 8073, 7982, 5725, 12533, 29490, 19307, 1271, 1239, 1991, 547, 4358, 519, 10380, 1184, 269, 1133, 1150, 16308, 6381, 1223, 1291, 547, 23139, 32280, 610, 2530, 540, 6119, 1282, 14764, 269, 3958, 267, 2348, 1394, 5725, 6087, 4443, 6051, 2022, 2987, 560, 718, 566, 780, 1262, 3721, 476, 278, 281, 10670, 18610, 12305, 566, 12533, 27916, 691, 707, 7193, 543, 7696, 519, 23861, 610, 11690, 538, 519, 5423, 18292, 5397, 269, 645, 2393, 689, 519, 17332, 5420, 2356, 2944, 676, 10296, 674, 1015, 267, 674, 1321, 267, 18521, 267, 610, 5548, 4470, 2390, 10672, 5468, 269, 7427, 593, 31653, 12987, 2394, 8757, 519, 1412, 9743, 718, 3767, 262, 4781, 269, 8564, 11426, 630, 28723, 264, 3079, 540, 5455, 14079, 585, 15777, 10380, 14874, 3105, 13013, 24790, 269, 2353, 11229, 2556, 12210, 2230, 267, 3898, 15652, 4433, 1070, 543, 20006, 519, 4890, 3888, 618, 780, 1262, 3721, 476, 279, 281, 2920, 10675, 8837, 476, 278, 31597, 12533, 5475, 10380, 20147, 6707, 267, 19334, 8837, 476, 278, 31597, 1369, 476, 1789, 2395, 1210, 519, 5833, 1587, 1883, 269, 13782, 622, 3590, 16544, 3436, 2920, 10675, 8837, 1631, 269, 9373, 519, 1587, 1883, 950, 19430, 267, 4945, 8921, 267, 543, 2347, 11852, 3268, 269, 4762, 3305, 3811, 11852, 3842, 1402, 1575, 5048, 17548, 834, 20360, 3298, 568, 15181, 3010, 1103, 3932, 267, 3478, 8837, 476, 278, 31597, 3322, 1896, 2565, 5933, 8506, 6297, 3007, 543, 7041, 269, 1635, 20170, 14553, 547, 891, 13890, 3268, 267, 3755, 10018, 5347, 13289, 883, 9001, 713, 7347, 5665, 1062, 5356, 3875, 2640, 936, 4505, 23200, 269, 0, 2237, 513, 1279, 543, 1360, 2143, 5850, 593, 834, 7476, 8837, 476, 278, 31597, 257, 538, 519, 2511, 540, 14392, 269, 3417, 538, 3829, 3137, 585, 1142, 1900, 543, 875, 621, 2337, 3035, 519, 5551, 6364, 267, 1519, 1883, 4388, 543, 4808, 269, 3550, 9355, 543, 16566, 267, 3850, 3988, 547, 3362, 1246, 543, 4019, 519, 5528, 269, 1684, 711, 946, 2592, 269, 0, 5149, 7170, 281, 9147, 4457, 667, 2106, 770, 625, 281, 589, 18043, 5530, 540, 3624, 781, 8466, 4886, 998, 922, 11683, 661, 6652, 692, 16215, 4985, 281, 901, 1770, 786, 5490, 883, 519, 3638, 1686, 540, 3504, 3624, 676, 3695, 1896, 540, 922, 1034, 9565, 30552, 2880, 21971, 269, 3414, 713, 1353, 267, 1053, 786, 2744, 606, 7071, 585, 875, 891, 3982, 5712, 8032, 3624, 781, 2686, 267, 2797, 267, 543, 1514, 1646, 269, 5015, 267, 789, 786, 1174, 519, 9434, 1764, 540, 3504, 3624, 593, 4207, 2486, 543, 922, 11972, 10083, 538, 2221, 781, 2518, 2796, 780, 296, 269, 2473, 807, 19092, 630, 15132, 320, 476, 21709, 271, 1700, 8182, 271, 14514, 2567, 700, 11691, 519, 25043, 540, 31511, 454, 288, 269, 19372, 618, 540, 6683, 267, 12669, 21395, 267, 543, 4739, 2027, 3074, 454, 289, 269, 9622, 10885, 540, 21712, 7239, 267, 21438, 6608, 267, 543, 2854, 5638, 454, 290, 269, 19088, 1670, 8129, 543, 10859, 268, 5586, 754, 776, 4567, 538, 3140, 5931, 454, 291, 269, 16329, 1670, 2963, 5885, 519, 6228, 540, 519, 2473, 807, 19092, 454, 292, 269, 10313, 11143, 1063, 2038, 4457, 10340, 543, 824, 3504, 12977, 630, 324, 3052, 1421, 27859, 267, 5527, 267, 1473, 639, 9503, 994, 293, 269, 7073, 6286, 281, 1215, 1281, 938, 1620, 540, 3504, 3624, 3310, 11994, 540, 922, 4207, 4644, 888, 0, 2080, 568, 606, 1349, 689, 513, 2546, 912, 10454, 6764, 6372, 1763, 26443, 281, 634, 6936, 9452, 540, 606, 29055, 11848, 23874, 454, 257, 2304, 9058, 3020, 7045, 9661, 269, 1547, 1547, 1547, 4934, 9227, 15923, 1603, 602, 1862, 1224, 811, 454, 17413, 15618, 476, 1001, 273, 454, 17504, 4032, 476, 6078, 267, 3374, 280, 454, 268, 7956, 29203, 454, 268, 22858, 850, 5426, 281, 476, 14096, 271, 299, 454, 268, 11083, 5308, 7335, 5426, 281, 476, 279, 269, 273, 454, 268, 8121, 13658, 10606, 454, 268, 13658, 476, 14631, 276, 1724, 267, 476, 279, 8121, 18745, 454, 268, 3683, 7804, 633, 7913, 3883, 19672, 10812, 593, 10369, 2897, 454, 268, 13595, 10361, 902, 454, 268, 1234, 785, 17621, 734, 2704, 10939, 734, 14532, 734, 17315, 8736, 3332, 454, 268, 19565, 27140, 1923, 23874, 1299, 13491, 20445, 454, 268, 1733, 2718, 9635, 734, 16914, 6342, 734, 2704, 10939, 734, 289, 5535, 267, 8672, 734, 17315, 8736, 3332, 454, 268, 1733, 2718, 9635, 454, 268, 476, 866, 628, 2540, 454, 268, 4446, 992, 267, 8672, 630, 2704, 10939, 994, 268, 19565, 27140, 1923, 3778, 1923, 2136, 2276, 910, 476, 866, 628, 11416, 454, 268, 1733, 2718, 734, 2704, 10939, 734, 289, 5535, 267, 8672, 734, 14532, 734, 17315, 8736, 3332, 454, 268, 3683, 1633, 28057, 30609, 819, 630, 6245, 278, 268, 6245, 279, 264, 734, 17315, 8736, 3332, 454, 268, 4446, 992, 267, 8672, 630, 2704, 10939, 264, 734, 14532, 734, 866, 628, 2540, 734, 17315, 8736, 3332, 563, 268, 19565, 27140, 1923, 18815, 1923, 4425, 1846, 267, 590, 4721, 1299, 7201, 4248, 14958, 454, 268, 19594, 630, 306, 1222, 994, 268, 4446, 992, 267, 8672, 454, 268, 1763, 322, 1132, 734, 2704, 10939, 734, 14532, 734, 3010, 2237, 606, 3573, 543, 2143, 1576, 1770, 538, 513, 1837, 585, 2852, 1053, 1644, 547, 519, 1349, 1657, 267, 2519, 593, 834, 26123, 4457, 667, 2106, 770, 625, 257, 607, 851, 540, 834, 16300, 13493, 1315, 3778, 1315, 5607, 2668, 1684, 711, 1175, 1592, 2035, 267, 855, 1020, 1142, 835, 538, 1469, 1354, 3001, 547, 519, 1985, 267, 607, 649, 4225, 3178, 540, 1620, 543, 3102, 3408, 540, 519, 1641, 2339, 936, 4560, 780, 2521, 547, 1384, 268, 3550, 538, 3829, 3795, 540, 519, 2035, 563, 268, 2422, 513, 2239, 267, 2219, 4538, 2511, 563, 268, 4045, 519, 1888, 609, 1699, 3466, 267, 1483, 3734, 1806, 267, 610, 2487, 2090, 563, 2710, 711, 1331, 513, 2140, 267, 2606, 2453, 267, 610, 2592, 269, 3503, 519, 1543, 2047, 269, 0, 4495, 2390, 513, 942, 267, 538, 513, 1507, 4884, 3957, 24442, 6807, 267, 5030, 1079, 1655, 2828, 267, 6341, 13183, 320, 543, 25455, 269, 5637, 1185, 1175, 21783, 689, 1164, 1153, 543, 941, 11235, 547, 7832, 593, 1007, 9035, 269, 2755, 25455, 729, 1305, 593, 11836, 519, 13149, 17620, 267, 6341, 13183, 320, 849, 5433, 6537, 547, 4196, 1200, 2197, 855, 5185, 2189, 2591, 1813, 547, 1200, 4008, 780, 21579, 13183, 320, 281, 834, 296, 2731, 1616, 547, 6443, 519, 3057, 1149, 899, 596, 267, 25455, 267, 855, 594, 4862, 621, 781, 1454, 9875, 585, 2021, 3010, 297, 820, 281, 834, 6546, 781, 3020, 267, 6341, 269, 1809, 3314, 267, 3025, 8188, 2591, 269, 5213, 1405, 1577, 602, 3247, 596, 15323, 291, 17827, 711, 547, 1394, 1524, 3362, 267, 6341, 13183, 320, 3459, 11826, 2866, 7258, 25455, 547, 1628, 1200, 4222, 543, 26176, 2088, 269, 2701, 7691, 2038, 593, 602, 5870, 519, 1482, 2168, 4170, 607, 2367, 1131, 8197, 581, 4101, 269, 11048, 267, 1352, 7283, 32344, 538, 1200, 20440, 269, 8528, 3080, 1554, 267, 1310, 4374, 540, 7920, 23736, 267, 3213, 778, 9652, 14059, 873, 1282, 741, 15904, 8400, 780, 10870, 778, 9652, 281, 834, 2791, 1079, 616, 1818, 1390, 3356, 256, 5901, 11319, 707, 2383, 269, 5457, 267, 20408, 9465, 568, 851, 540, 1272, 267, 2436, 1934, 610, 538, 519, 3057, 1149, 3010, 12507, 2195, 5293, 267, 543, 1247, 25455, 30774, 12347, 998, 1010, 3498, 1184, 267, 6341, 13183, 320, 11402, 23665, 269, 4173, 3355, 3156, 3893, 15653, 7466, 1317, 1352, 7948, 1405, 2743, 519, 5021, 7485, 5346, 10421, 910, 1945, 1034, 9038, 1223, 3035, 24672, 269, 8061, 770, 730, 2943, 3768, 2678, 1042, 267, 1352, 8179, 948, 689, 25455, 543, 3213, 778, 9652, 780, 297, 820, 6700, 2519, 593, 4244, 5751, 547, 2087, 1200, 2949, 5580, 1560, 4222, 269, 2991, 6220, 1346, 2242, 883, 1200, 6296, 267, 6341, 13183, 320, 13986, 519, 7485, 13522, 2899, 1586, 269, 10251, 267, 5103, 1200, 29287, 3646, 267, 1352, 1869, 8593, 2110, 540, 519, 2838, 1297, 780, 11514, 24711, 2989, 267, 1352, 1476, 3660, 538, 25455, 827, 4743, 17204, 543, 20402, 952, 1352, 1500, 519, 1318, 3375, 269, 11576, 532, 1200, 11605, 267, 25455, 15527, 1489, 1947, 780, 297, 820, 281, 834, 21579, 267, 1967, 3884, 1405, 2141, 827, 8236, 1018, 1866, 2503, 269, 898, 781, 827, 3257, 707, 1655, 543, 9363, 8149, 269, 1411, 4312, 2907, 6273, 803, 543, 1866, 1472, 596, 676, 8840, 7496, 543, 32222, 547, 2285, 909, 3010, 300, 3437, 676, 25455, 781, 1913, 267, 6341, 4956, 547, 9029, 519, 3375, 3079, 540, 4758, 909, 269, 769, 1200, 9029, 4484, 267, 1352, 12006, 1200, 11428, 267, 5812, 6454, 267 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 256, 2336, 825, 1250, 24092, 1242, 815, 1250, 13614, 11795, 2397, 6155, 643, 30044, 24092, 28319, 2747, 267, 7852, 815, 1412, 4900, 10807, 476, 1948, 1568, 589, 10498, 11974, 856, 4737, 1298, 878, 10691, 9587, 454, 825, 1948, 1250, 24092, 1242, 815, 1250, 13614, 11795, 2397, 6155, 643, 30044, 24092, 28319, 2747, 267, 7852, 815, 1412, 3712, 8435, 10807, 476, 1948, 1281, 10691, 960, 454, 825, 1820, 2891, 20598, 1125, 318, 4900, 910, 1250, 24092, 1242, 9847, 19515, 825, 1820, 30044, 24092, 1242, 994, 825, 1820, 2891, 15419, 825, 2132, 7183, 7531, 20598, 1125, 14116, 10232, 32470, 994, 20598, 1125, 318, 4900, 14116, 10232, 32470, 2020, 692, 0, 692, 12163, 20598, 11539, 9819, 11000, 4967, 454, 31596, 781, 11885, 14714, 323, 3890, 910, 9949, 568, 2551, 3044, 11539, 910, 834, 9536, 1993, 815, 476, 271, 257, 910, 782, 8464, 1634, 2551, 10691, 3732, 910, 29817, 1088, 781, 15494, 5508, 293, 3097, 335, 7701, 781, 5774, 320, 14714, 323, 3890, 910, 9949, 568, 3732, 672, 3044, 11539, 910, 834, 9536, 1993, 815, 476, 272, 257, 476, 29817, 1088, 781, 15494, 10396, 454, 1877, 649, 616, 1210, 476, 4578, 20988, 4019, 3890, 1599, 910, 649, 1616, 547, 957, 593, 661, 21815, 23333, 9331, 301, 454, 2254, 1210, 4578, 20988, 4019, 14090, 3890, 1599, 910, 13333, 593, 782, 9587, 454, 326, 603, 889, 834, 335, 663, 553, 910, 4578, 20988, 910, 10022, 910, 4994, 2012, 910, 1327, 267, 24924, 665, 910, 4019, 3890, 960, 593, 1142, 6241, 4840, 20701, 5814, 21795, 607, 19073, 692, 326, 10232, 32470, 815, 19073, 6185, 1092, 20988, 18692, 825, 1239, 28121, 262, 1410, 600, 272, 9166, 1496, 6246, 267, 476, 10037, 267, 476, 4281, 267, 476, 4037, 267, 476, 8660, 267, 476, 3583, 267, 476, 11011, 267, 476, 4792, 267, 476, 7176, 267, 476, 9262, 16689, 16875, 1412, 1410, 600, 273, 9166, 1496, 2190, 267, 476, 8287, 267, 476, 6321, 267, 476, 6321, 267, 476, 6858, 267, 476, 7906, 267, 476, 8064, 267, 476, 5379, 267, 476, 7761, 267, 476, 2568, 316, 348, 2676, 825, 4994, 284, 9131, 4517, 516, 3299, 1412, 289, 14019, 3299, 1412, 2419, 5142, 3299, 1412, 25405, 3299, 1412, 10387, 559, 1470, 3299, 3097, 19930, 1412, 293, 1042, 3299, 1412, 294, 516, 3279, 3299, 1412, 295, 3784, 339, 3299, 1412, 296, 7079, 3299, 1412, 22832, 23300, 2020, 258, 7827, 8771, 547, 6936, 585, 713, 3625, 540, 3009, 547, 1294, 1018, 621, 1281, 692, 258, 4578, 20988, 4019, 4590, 604, 8771, 912, 825, 1219, 6460, 14682, 10232, 318, 2017, 557, 263, 1410, 600, 14682, 10232, 2187, 1038, 1948, 17455, 553, 814, 513, 536, 738, 2987, 1599, 602, 786, 1685, 713, 9819, 454, 1038, 1948, 901, 786, 2285, 519, 5377, 476, 271, 260, 547, 476, 1015, 260, 540, 1053, 519, 3446, 1412, 293, 22779, 1038, 1948, 476, 1015, 260, 547, 476, 736, 260, 519, 3446, 1412, 291, 3299, 543, 865, 593, 269, 1411, 666, 1224, 811, 827, 454, 1038, 1948, 519, 7117, 12827, 3890, 1599, 1934, 912, 1038, 1948, 5291, 2517, 335, 663, 553, 4877, 11770, 1092, 3820, 9706, 663, 553, 1673, 665, 338, 23995, 762, 270, 10090, 730, 9706, 663, 553, 269, 336, 12827, 11258, 454, 1038, 2132, 19073, 269, 336, 12827, 263, 1410, 600, 14682, 10232, 2676, 4449, 11434, 1496, 271, 267, 476, 271, 269, 272, 267, 476, 271, 269, 273, 267, 476, 271, 269, 276, 267, 476, 271, 269, 279, 267, 476, 272, 16689, 4449, 11434, 10297, 284, 9131, 293, 3299, 1412, 291, 3299, 1412, 290, 3299, 1412, 289, 3299, 1412, 288, 262, 7481, 13872, 825, 1948, 7117, 12827, 3890, 13333, 593, 513, 1592, 267, 5044, 267, 610, 10022, 269, 901, 568, 519, 454, 825, 1948, 1267, 540, 4881, 519, 1599, 593, 513, 2582, 6241, 540, 519, 454, 825, 1948, 4578, 20988, 563, 825, 1948, 1820, 6460, 14682, 10232, 318, 2017, 557, 14116, 10232, 32470, 9131, 1410, 600, 272, 262, 7481, 825, 1820, 2891, 5602, 825, 1820, 2891, 935, 3200, 14682, 10232, 318, 2017, 557, 14116, 10232, 32470, 9131, 1410, 600, 272, 11172, 9847, 19515, 825, 1820, 263, 935, 3200, 14682, 10232, 318, 2017, 557, 14116, 10232, 32470, 9131, 1410, 600, 272, 11172, 4917, 825, 1820, 2891, 15419, 825, 1948, 7117, 12827, 3890, 1281, 711, 960, 593, 4578, 293, 29707, 267, 855, 649, 666, 946, 4019, 4590, 825, 1948, 547, 1289, 519, 1599, 593, 1142, 6241, 14384, 454, 825, 1948, 1820, 9344, 32470, 269, 1952, 569, 263, 935, 3200, 14682, 10232, 318, 2017, 557, 994, 825, 1820, 2891, 326, 10232, 32470, 269, 1952, 569, 263, 935, 3200, 14682, 10232, 318, 2017, 557, 264, 9847, 19515, 825, 1820, 14116, 10232, 32470, 269, 1952, 569, 263, 935, 3200, 14682, 10232, 318, 2017, 557, 11723, 8931, 3698, 3044, 1125, 29254, 2187, 825, 23288, 825, 19130, 538, 713, 1599, 547, 3044, 1125, 1142, 6241, 630, 30995, 1142, 6241, 1589, 4019, 3890, 10691, 4019, 14090, 3890, 30995, 994, 825, 540, 519, 2016, 4578, 20988, 269, 1677, 3044, 1125, 513, 4756, 267, 6460, 1142, 1871, 547, 519, 454, 825, 1297, 540, 3044, 24017, 621, 568, 1657, 610, 2630, 519, 1611, 563, 825, 23288, 8931, 825, 1948, 1820, 2891, 6943, 29254, 264, 910, 15079, 2668, 8971, 263, 6943, 29254, 21875, 825, 1948, 1826, 29254, 264, 910, 2999, 5035, 1412, 335, 663, 553, 6983, 648, 8807, 9347, 6185, 1092, 20988, 262, 11417, 8931, 825, 1820, 2891, 5602, 825, 1820, 2891, 4206, 9847, 19515, 825, 1820, 29254, 994, 825, 1820, 2891, 5602, 8931, 825, 1820, 2891, 4206, 32557, 3890, 9847, 19515, 825, 1820, 29254, 32557, 15405, 825, 1820, 2891, 5602, 8931, 825, 1820, 2891, 4206, 14714, 323, 3890, 9847, 19515, 825, 1820, 29254, 14714, 323, 15405, 825, 1820, 2891, 5602, 8931, 825, 1820, 2891, 4206, 28827, 9847, 19515, 825, 1820, 29254, 28827, 994, 825, 1820, 2891, 5602, 8931, 825, 1948, 17034, 5774, 320, 4578, 20988, 267, 10022, 267, 1327, 267, 4994, 2012, 3097, 825, 1820, 2891, 4206, 7456, 665, 9131, 289, 14019, 28710, 17093, 7456, 665, 9131, 289, 14019, 262, 6012, 271, 3910, 17093, 7456, 665, 9131, 289, 14019, 262, 6012, 272, 316, 5602, 825, 1820, 29254, 7456, 665, 9131, 289, 14019, 262, 7481, 825, 1948, 2745, 2891, 6943, 29254, 7456, 665, 9131, 289, 14019, 262, 8079, 910, 15079, 2668, 8971, 263, 6943, 29254, 7456, 665, 9131, 289, 14019, 11172, 21875, 825, 1948, 6943, 29254, 7456, 665, 9131, 289, 14019, 262, 8079, 910, 2999, 5035, 1412, 335, 663, 553, 6983, 648, 4732, 7685, 2529, 7685, 262, 11417, 825, 1820, 29254, 7456, 665, 9131, 289, 14019, 262, 6012, 271, 7481, 825, 1820, 29254, 7456, 665, 9131, 289, 14019, 262, 6012, 272, 7481, 825, 1820, 2891, 5602, 8931, 825, 1948, 17034, 5774, 320, 4578, 20988, 267, 10022, 267, 24924, 665, 267, 4994, 1297, 22322, 825, 1820, 2891, 4206, 269, 559, 665, 314, 271, 316, 9847, 19515, 825, 1820, 29254, 269, 559, 665, 314, 271, 7481, 825, 1820, 2891, 15419, 8931, 825, 8173, 825, 3044, 11539, 9819, 11000, 4967, 454, 825, 11885, 781, 11885, 14714, 323, 3890, 910, 9949, 568, 2551, 3044, 11539, 910, 834, 9536, 1993, 815, 476, 271, 257, 910, 782, 8464, 1634, 2551, 10691, 3732, 910, 29817, 1088, 781, 15494, 5508, 293, 3097, 825, 5774, 320, 781, 5774, 320, 14714, 323, 3890, 910, 9949, 568, 3732, 672, 3044, 11539, 910, 834, 9536, 1993, 815, 476, 272, 257, 476, 29817, 1088, 781, 15494, 10396, 454, 825, 1934, 649, 616, 1210, 476, 4578, 20988, 4019, 3890, 1599, 910, 649, 1616, 547, 957, 593, 661, 21815, 23333, 9331, 301, 454, 825, 711, 1210, 4578, 20988, 4019, 14090, 3890, 1599, 910, 13333, 593, 782, 9587, 454, 825, 29185, 825, 1948, 21795, 910, 9949, 546, 323, 1993, 284, 272, 3732, 711, 2551, 910, 1934, 649, 723, 519, 3003, 2551, 865, 910, 546, 323, 1993, 284, 271, 3097, 825, 13387, 10574, 20988, 815, 630, 4206, 910, 17093, 32557, 28829, 1315, 17093, 14714, 323, 5560, 323, 1993, 284, 271, 994, 825, 1820, 2891, 20598, 1242, 10574, 20988, 9847, 19515, 825, 1820, 263, 20598, 1242, 10574, 20988, 994, 825, 1820, 2891, 5602, 8931, 13872, 825, 2132, 7183, 692, 3698, 3044, 1125, 272, 29254, 2187, 825, 23288, 825, 19130, 538, 713, 1599, 547, 3044, 1125, 1142, 6241, 630, 30995, 1142, 6241, 1589, 4019, 3890, 10691, 4019, 14090, 3890, 30995, 994, 825, 540, 519, 2016, 4578, 20988, 269, 1677, 3044, 1125, 513, 4756, 267, 6460, 1142, 1871, 547, 519, 454, 825, 1297, 540, 3044, 24017, 621, 568, 1657, 610, 2630, 519, 1611, 563, 825, 23288, 825, 1948, 1820, 2891, 6943, 29254, 264, 910, 15079, 2668, 8971, 263, 6943, 29254, 21875, 825, 1948, 1826, 29254, 264, 910, 2999, 5035, 1412, 335, 663, 553, 6983, 648, 8807, 9347, 6185, 1092, 20988, 262, 11417, 8931, 825, 8173, 825, 3044, 11539, 9819, 11000, 4967, 454, 825, 11885, 781, 11885, 14714, 323, 3890, 910, 9949, 568, 2551, 3044, 11539, 910, 834, 9536, 1993, 815, 476, 271, 257, 910, 782, 8464, 1634, 2551, 10691, 3732, 910, 29817, 1088, 781, 15494, 5508, 293, 3097, 825, 5774, 320, 781, 5774, 320, 14714, 323, 3890, 910, 9949, 568, 3732, 672, 3044, 11539, 910, 834, 9536, 1993, 815, 476, 272, 257, 476, 29817, 1088, 781, 15494, 10396, 454, 825, 1934, 649, 616, 1210, 476, 4578, 20988, 4019, 3890, 1599, 910, 649, 1616, 547, 957, 593, 661, 21815, 23333, 9331, 301, 454, 825, 711, 1210, 4578, 20988, 4019, 14090, 3890, 1599, 910, 13333, 593, 782, 9587, 454, 825, 29185, 825, 1948, 21795, 910, 9949, 546, 323, 1993, 284, 272, 3732, 711, 2551, 910, 1934, 649, 723, 519, 3003, 2551, 865, 910, 546, 323, 1993, 284, 271, 3097, 825, 13387, 10574, 20988, 815, 630, 4206, 910, 17093, 32557, 28829, 1315, 17093, 14714, 323, 5560, 323, 1993, 284, 271, 994, 825, 1820, 2891, 20598, 1242, 10574, 20988, 9847, 19515, 825, 1820, 263, 20598, 1242, 10574, 20988, 994, 825, 1820, 2891, 5602, 8931, 13872, 825, 2132, 7183, 692, 258, 3044, 1125, 14116, 10232, 32470, 994, 2745, 2891, 9340, 9340, 9340, 9340, 9340, 1556, 326, 10232, 32470, 269, 1952, 569, 263, 20598, 1125, 272, 264, 9847, 19515, 2745, 14116, 10232, 32470, 269, 1952, 569, 263, 20598, 1125, 272, 4917, 2745, 2891, 19442, 19442, 19442, 19442, 19442, 15419, 326, 10232, 32470, 269, 1952, 569, 263, 20598, 1125, 272, 994, 2745, 2891, 18357, 18357, 18357, 18357, 3451, 326, 10232, 32470, 269, 1952, 569, 263, 20598, 1125, 272, 264, 9847, 19515, 258, 1820, 14116, 10232, 32470, 269, 1952, 569, 263, 20598, 1125, 272, 4917, 2745, 2891, 29900, 29900, 29900, 29900, 5602, 672, 692, 2745, 2891, 5602, 343, 815, 476, 276, 454, 2745, 2891, 343, 910, 15079, 2668, 8971, 3287, 4917, 2745, 2891, 6943, 3287, 264, 910, 15079, 2668, 8971, 263, 6943, 3287, 21875, 2745, 2891, 5602, 0, 454, 5814, 21795, 607, 19073, 692, 258, 4019, 1547, 1952, 569, 513, 1599, 547, 513, 19073, 5774, 320, 3126, 8528, 258, 7827, 8771, 547, 6936, 547, 1294, 1018, 519, 1739, 3625, 540, 3009, 1281, 692, 258, 7151, 21795, 4019, 3890, 6165, 630, 24392, 713, 1223, 723, 1044, 2944, 454, 258, 1510, 4019, 3890, 1210, 6152, 1242, 4238, 994, 604, 6936, 912, 825, 521, 815, 19073, 2529, 7685, 8443, 272, 267, 476, 273, 267, 476, 274, 267, 476, 275, 267, 476, 276, 7481, 8931, 825, 1219, 1039, 318, 821, 3287, 2187, 1038, 2132, 1535, 1341, 476, 272, 22562, 825, 1820, 9497, 338, 269, 1952, 569, 263, 5417, 318, 821, 264, 9847, 5602, 825, 1820, 630, 338, 269, 1952, 569, 263, 5417, 318, 821, 4917, 8931, 2745, 2891, 15419, 12849, 815, 19073, 2529, 7685, 8443, 454, 825, 1412, 4517, 516, 3397, 817, 328, 22779, 825, 1412, 289, 14019, 645, 4637, 22779, 825, 1412, 13731, 9372, 19090, 22779, 825, 1412, 25405, 1408, 4347, 4141, 22779, 825, 1412, 10387, 559, 1470, 661, 4614, 557, 345, 22779, 825, 1412, 293, 1042, 4469, 842, 7723, 22779, 825, 1412, 294, 516, 3279, 12275, 2692, 22779, 825, 1412, 295, 3784, 339, 670, 3784, 339, 22779, 825, 1412, 296, 7079, 594, 569, 577, 22779, 825, 1412, 22832, 20717, 576, 22779, 825, 1412, 11390, 4275, 26427, 2917, 22779, 825, 1412, 299, 12251, 28818, 22779, 825, 1412, 300, 833, 3733, 619, 22779, 825, 1412, 301, 1157, 715, 565, 974, 22779, 825, 1412, 302, 21424, 14642, 20860, 22779, 825, 1412, 303, 32631, 20266, 27591, 22779, 825, 1412, 5226, 597, 19434, 2372, 597, 22641, 22779, 825, 1412, 305, 778, 6130, 14105, 22779, 825, 1412, 306, 639, 534, 7203, 9646, 22779, 825, 1412, 307, 2088, 25306, 22779, 825, 1412, 308, 7666, 996, 7984, 321, 2088, 22779, 825, 1412, 309, 1550, 966, 2795, 333, 22779, 825 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 540, 3023, 10391, 3270, 540, 2937, 2623, 12346, 593, 4638, 15285, 540, 519, 2634, 1472, 519, 942, 540, 4332, 267, 25358, 676, 1449, 7781, 10399, 538, 9038, 1107, 543, 3668, 23476, 538, 8951, 269, 2755, 621, 729, 8385, 5156, 602, 16891, 611, 531, 10399, 1404, 513, 17033, 1437, 1049, 1909, 693, 23648, 267, 2090, 538, 519, 2038, 476, 2641, 560, 2540, 1683, 1806, 1141, 519, 12557, 543, 3448, 2157, 540, 16891, 611, 531, 10399, 11851, 1279, 18835, 267, 610, 10721, 2360, 593, 2634, 543, 2623, 269, 769, 713, 1259, 267, 15730, 4598, 547, 16891, 611, 531, 10399, 666, 32427, 622, 2634, 543, 1560, 2242, 538, 796, 2581, 543, 538, 930, 2665, 19820, 875, 519, 2634, 20781, 547, 16891, 611, 531, 10399, 538, 15296, 269, 25408, 267, 1082, 540, 519, 2360, 540, 23648, 593, 2623, 949, 2049, 18549, 676, 19249, 8417, 547, 2825, 2621, 543, 606, 11248, 779, 2702, 547, 4431, 547, 610, 1451, 689, 1995, 269, 1452, 4030, 689, 519, 3662, 3332, 1683, 513, 5943, 585, 1620, 875, 23648, 949, 3310, 519, 30553, 540, 1950, 5615, 543, 12189, 1981, 610, 6043, 547, 2790, 1072, 4713, 1282, 1480, 18273, 269, 769, 2040, 267, 23648, 25998, 609, 11976, 267, 2038, 1272, 10721, 2360, 540, 16891, 611, 531, 10399, 267, 1995, 267, 543, 1565, 3157, 547, 3337, 2623, 538, 15296, 563, 21196, 3534, 700, 269, 589, 591, 8636, 267, 31929, 590, 269, 24125, 2426, 267, 543, 14732, 2098, 269, 32298, 454, 763, 1110, 17419, 3310, 540, 3023, 10399, 593, 8650, 1928, 267, 5312, 1928, 4713, 267, 543, 1928, 2359, 814, 1044, 4080, 585, 936, 5722, 5756, 269, 634, 1198, 540, 10399, 593, 1928, 568, 5693, 23576, 676, 519, 21318, 540, 5312, 1928, 4713, 602, 616, 811, 1455, 538, 2021, 267, 971, 607, 15677, 543, 26043, 267, 9389, 558, 663, 24212, 4745, 4524, 267, 8886, 762, 15108, 6794, 267, 5312, 23856, 1928, 267, 4017, 668, 9234, 22468, 267, 27131, 12263, 267, 543, 30169, 269, 11153, 540, 891, 1928, 4713, 849, 11385, 622, 538, 1928, 8515, 936, 519, 18492, 4783, 267, 1519, 15677, 543, 26043, 543, 9389, 558, 663, 24212, 4745, 4524, 269, 634, 3023, 32104, 10399, 630, 652, 4088, 267, 1322, 6856, 821, 267, 543, 19697, 264, 607, 1134, 607, 930, 26733, 10399, 630, 335, 1503, 716, 514, 267, 3404, 12682, 665, 514, 267, 543, 21729, 641, 816, 514, 264, 723, 1044, 5532, 547, 1928, 676, 1312, 4791, 543, 840, 30570, 1382, 269, 1160, 2471, 614, 821, 543, 19697, 616, 4922, 7608, 607, 2348, 8825, 2360, 1996, 1928, 267, 1247, 519, 3332, 593, 21110, 5359, 1312, 12615, 566, 543, 22887, 6672, 540, 1928, 269, 1160, 331, 716, 514, 568, 4080, 547, 9594, 1928, 267, 1247, 3404, 12682, 665, 514, 543, 21729, 641, 816, 514, 723, 1387, 2471, 545, 3601, 538, 1312, 28486, 269, 8307, 538, 519, 2063, 1079, 5756, 723, 5778, 27023, 1235, 13175, 547, 19586, 519, 1950, 26715, 543, 7636, 6127, 5817, 519, 1463, 2360, 540, 3023, 10399, 543, 6127, 723, 1044, 4080, 538, 1312, 519, 3844, 543, 15672, 8401, 1949, 269, 31469, 1331, 2047, 610, 18549, 13389, 13364, 543, 9357, 9055, 593, 10444, 11409, 267, 1437, 908, 1928, 2300, 527, 2218, 610, 1928, 7409, 7480, 7740, 538, 519, 2634, 267, 543, 4227, 12982, 18657, 2209, 269, 6736, 2487, 3356, 267, 972, 3788, 1713, 15784, 543, 2591, 538, 519, 2361, 543, 519, 9583, 5418, 3999, 22241, 1909, 21110, 4249, 593, 1928, 3788, 24813, 269, 7351, 1702, 540, 519, 2360, 540, 3023, 10399, 593, 1928, 814, 3366, 547, 519, 24567, 540, 4008, 2861, 4915, 267, 543, 11543, 2417, 5813, 786, 1291, 547, 1454, 2877, 6454, 538, 1928, 2359, 538, 2021, 563, 24171, 674, 269, 4223, 515, 329, 322, 5414, 330, 543, 4569, 5362, 674, 269, 654, 1716, 564, 454, 18128, 1828, 814, 3812, 5318, 24466, 543, 8965, 4763, 10838, 7786, 267, 1519, 1360, 3811, 14624, 547, 513, 3309, 2039, 540, 8733, 12137, 1127, 17364, 519, 12289, 540, 519, 6607, 676, 10760, 7786, 267, 519, 17875, 1782, 6197, 593, 630, 528, 2630, 264, 519, 3618, 267, 543, 519, 630, 9895, 328, 268, 264, 320, 638, 1738, 1272, 593, 630, 528, 2630, 264, 519, 1216, 2627, 269, 15043, 519, 2702, 547, 1349, 513, 31062, 2179, 540, 3730, 1344, 689, 741, 1604, 729, 2629, 585, 4180, 519, 6668, 540, 1082, 5521, 2249, 269, 19484, 7786, 7048, 8185, 593, 513, 4999, 540, 1114, 3308, 543, 1875, 23724, 783, 10291, 547, 28761, 7259, 896, 513, 2647, 8552, 540, 2825, 2175, 1247, 9319, 11975, 269, 634, 4806, 540, 31085, 8701, 1242, 1236, 2643, 697, 602, 2164, 689, 22502, 540, 7943, 538, 519, 5790, 568, 835, 1271, 4044, 1049, 29692, 602, 1082, 7786, 666, 3713, 269, 3371, 649, 17412, 3356, 1500, 4724, 1620, 875, 1114, 5521, 2249, 2631, 8701, 1242, 1769, 269, 3689, 267, 649, 1459, 8965, 2090, 609, 968, 25152, 892, 5521, 4044, 2209, 630, 25218, 268, 2897, 585, 6162, 267, 899, 9932, 32048, 610, 9390, 17605, 1070, 607, 1134, 607, 7786, 602, 7048, 593, 8701, 1242, 1769, 547, 2087, 811, 968, 21353, 545, 892, 10066, 1983, 630, 3697, 546, 2426, 22404, 1040, 5822, 267, 649, 1683, 606, 7650, 936, 519, 26715, 4493, 540, 519, 8701, 1242, 1769, 7020, 1062, 602, 891, 7786, 946, 267, 607, 1134, 607, 519, 5817, 8849, 5547, 787, 269, 12059, 267, 649, 11168, 519, 2956, 540, 12214, 2090, 630, 19491, 5268, 903, 5735, 267, 607, 1134, 607, 16220, 23876, 2534, 10832, 267, 538, 667, 4592, 32166, 264, 585, 1620, 1312, 519, 2497, 543, 1599, 540, 8701, 1242, 1769, 5547, 787, 538, 519, 5521, 2634, 269, 1284, 849, 1865, 519, 2956, 540, 606, 4244, 2707, 540, 8701, 1242, 1769, 602, 666, 581, 9571, 676, 1082, 7786, 281, 31085, 8701, 1242, 1769, 10630, 1055, 21743, 7252, 899, 1216, 4564, 606, 1271, 2825, 3815, 267, 2943, 519, 14169, 543, 17550, 540, 5817, 11387, 2611, 18106, 569, 6956, 563, 300, 7752, 342, 670, 269, 27213, 267, 7812, 320, 590, 9950, 269, 10753, 1111, 267, 667, 9222, 8805, 698, 1676, 267, 543, 681, 11047, 639, 590, 269, 22642, 523, 454, 2662, 7416, 619, 630, 341, 2320, 1170, 2801, 264, 616, 7986, 593, 519, 2879, 719, 540, 1082, 11864, 267, 1312, 18714, 543, 12748, 269, 634, 10747, 4183, 540, 31953, 619, 568, 602, 789, 616, 12082, 538, 1804, 32235, 609, 10053, 10444, 7961, 3569, 267, 11303, 676, 14859, 18133, 11057, 1973, 5609, 4926, 269, 2368, 2249, 267, 1519, 14148, 543, 8983, 267, 723, 14969, 16757, 1852, 540, 741, 31953, 619, 543, 2263, 741, 1604, 676, 1818, 24754, 1394, 7146, 16519, 628, 968, 3369, 529, 6362, 892, 5322, 269, 1733, 529, 6362, 5322, 616, 3483, 2685, 1110, 4327, 2687, 547, 1808, 8965, 3853, 12462, 5562, 15392, 26158, 634, 2596, 22090, 6362, 11733, 568, 6417, 676, 513, 6566, 19318, 1950, 538, 519, 13591, 1427, 7781, 5250, 563, 27650, 31953, 518, 11409, 630, 303, 310, 28213, 1070, 609, 1591, 4703, 538, 519, 4645, 655, 1400, 14228, 331, 542, 267, 7961, 969, 622, 1896, 5049, 540, 2964, 648, 21082, 8229, 30804, 538, 519, 31953, 518, 21155, 548, 269, 11115, 582, 4920, 9134, 5473, 26629, 15605, 273, 9357, 9055, 20964, 519, 4909, 2168, 6786, 602, 519, 31953, 619, 5968, 547, 519, 2634, 269, 623, 310, 301, 26389, 616, 15427, 676, 7344, 4229, 2404, 609, 1312, 519, 22090, 6362, 5163, 3294, 543, 31953, 518, 268, 15953, 3346, 269, 1733, 529, 6362, 568, 2404, 609, 16931, 658, 543, 4887, 19432, 4229, 602, 5397, 623, 310, 301, 2534, 269, 1733, 7416, 518, 268, 15953, 3346, 3123, 31953, 619, 547, 18846, 267, 543, 623, 310, 301, 2534, 568, 9141, 5097, 676, 519, 2404, 4232, 2218, 3196, 12462, 321, 2056, 4090, 892, 1916, 306, 29022, 6786, 689, 519, 623, 310, 28213, 616, 3535, 539, 547, 1082, 2694, 540, 519, 12042, 28090, 267, 4571, 28090, 267, 543, 2062, 28090, 269, 23155, 26799, 11444, 10141, 1344, 827, 31953, 518, 4229, 547, 9300, 574, 19318, 16794, 269, 2311, 1142, 2634, 980, 267, 555, 15401, 545, 267, 543, 9729, 673, 1377, 540, 891, 11444, 267, 972, 616, 835, 610, 811, 7851, 540, 519, 31953, 518, 5044, 267, 9967, 540, 1591, 13421, 12462, 8663, 14843, 892, 538, 519, 3119, 1474, 520, 657, 29022, 16794, 264, 4171, 8901, 11460, 10502, 19141, 602, 540, 519, 31953, 619, 593, 519, 2879, 719, 269, 1717, 267, 519, 2949, 6189, 540, 519, 31953, 518, 268, 22529, 633, 4525, 540, 519, 2634, 1062, 568, 1655, 6353, 676, 1617, 850, 767, 10444, 2173, 19318, 5955, 17787, 269, 4706, 10578, 7350, 267, 538, 4999, 609, 25368, 3601, 607, 513, 2203, 10444, 1062, 267, 814, 1500, 519, 31953, 518, 1062, 519, 3760, 585, 25761, 4030, 883, 2634, 1599, 563, 306, 629, 571, 700, 269, 21890, 514, 543, 10496, 14979, 631, 269, 5576, 8705, 345, 454, 29189, 568, 513, 6211, 4756, 602, 5540, 4761, 6114, 547, 1312, 1582, 543, 4914, 26898, 630, 324, 3052, 1421, 15451, 5563, 264, 538, 519, 3844, 8401, 1062, 630, 290, 10064, 264, 607, 1134, 607, 538, 15672, 8219, 269, 634, 3023, 540, 606, 1367, 568, 3989, 676, 519, 11186, 8990, 540, 519, 3023, 15954, 267, 519, 3919, 540, 519, 10285, 8219, 267, 543, 519, 7766, 3023, 32104, 9449, 2157, 538, 9038, 543, 8951, 269, 11557, 568, 3982, 689, 4008, 267, 799, 2882, 1582, 268, 1211, 2305, 607, 1373, 513, 5256, 610, 4775, 607, 1134, 607, 5615, 543, 2238, 602, 616, 5462, 676, 2486, 610, 2528, 538, 3425, 269, 22503, 543, 4775, 3604, 538, 6375, 1670, 6114, 949, 581, 6766, 676, 1312, 3023, 543, 4008, 267, 609, 3023, 7700, 547, 519, 12214, 543, 26715, 3604, 602, 3310, 4598, 267, 6284, 267, 24999, 267, 543, 1256, 6771, 540, 17973, 538, 9038, 543, 8951, 269, 1635, 4334, 267, 4008, 949, 2992, 5615, 602, 3310, 4598, 547, 17973, 267, 1569, 547, 1072, 1416, 267, 610, 1072, 5498, 22701, 5615, 602, 18549, 1860, 519, 1576, 540, 3968, 538, 9038, 543, 8951, 269, 9282, 1312, 3023, 543, 4008, 3310, 519, 4761, 3210, 267, 519, 1445, 540, 713, 2376, 568, 519, 6211, 2188, 602, 3310, 6375, 1670, 3604, 1063, 519, 28486, 538, 1312, 519, 595, 10064, 543, 15672, 8031, 547, 7369, 519, 1576, 540, 3676, 2066, 519, 1272, 12732, 563, 8139, 540, 519, 2634, 6127, 15725, 10285, 5615, 538, 4775, 8047, 2831, 814, 1044, 29211, 7494, 676, 938, 1702, 540, 21110, 13364, 538, 519, 2634, 269, 14523, 1054, 15401, 545, 11409, 602, 2769, 519, 5444, 585, 21110, 13805, 268, 10401, 10038, 2534, 538, 519, 8849, 5547, 585, 519, 14724, 4775, 10285, 3210, 267, 18459, 2670, 2623, 269, 769, 2490, 267, 1082, 540, 519, 32239, 11378, 547, 519, 2565, 20968, 15401, 545, 11409, 723, 1044, 6594, 1210, 32661, 903, 8344, 543, 5778, 23755, 2553, 269, 634, 909, 3333, 582, 540, 782, 540, 891, 2090, 568, 602, 18459, 2670, 2623, 6799, 519, 1655, 6956, 1305, 540, 6127, 585, 1022, 27899, 2623, 563, 297, 659, 13196, 645, 953, 1794, 691, 543, 27068, 674, 269, 11831, 454, 2005, 568, 1134, 3964, 602, 19697, 689, 1449, 7781, 5169, 4249, 513, 2565, 1909, 538, 519, 11852, 540, 5256, 4638, 2623, 538, 1034, 267, 952, 711, 782, 267, 9451, 24260, 2249, 269, 1452, 2360, 1491, 1747, 547, 513, 1804, 6708, 538, 519, 840, 641, 6776, 1858, 4352, 824, 2634, 4609, 616, 15069, 849, 26582, 269, 769, 922, 3077, 2127, 267, 19697, 568, 8362, 8311, 1242, 2901, 883, 21110, 545, 543, 543, 4088, 545, 28335, 602, 723, 1808, 8965, 2360, 610, 883, 29680, 31571, 269, 1452, 14759, 2901, 24244, 519, 8965, 2534, 540, 19697, 610, 267, 4244, 569, 267, 10307, 547, 606, 29680, 7623, 26632, 919, 1022, 6211, 1198, 269, 1656, 5766, 839, 543, 1609, 5766, 839, 1287, 12622, 547, 6046, 13364, 602, 1110, 3634, 519, 16606, 540, 1808, 6090, 269, 901, 1184, 568, 6417, 676, 513, 3099, 540, 1071, 19840, 643, 2209, 543, 1071, 3146, 12304, 832, 602, 267, 6606, 267, 3986, 610, 21391, 891, 13973, 1308, 3157, 269, 769, 1840, 267, 2487, 960, 814, 3254, 602, 519, 2504, 540, 1609, 5766, 839, 676, 2634, 12906, 520, 848, 666, 581, 1110, 4327, 1369, 3764, 676, 2242, 538, 8849, 2534, 543, 602, 891, 4028, 2242, 538, 5778, 652, 4088, 2504, 1764, 4638, 2623, 267, 538, 1880, 4638, 8404, 1369, 519, 1482, 942, 7406, 269, 6480, 5766, 839, 3976, 1860, 1808, 3344, 540, 5256, 4638, 2623, 538, 1079, 1114, 942, 14604, 3842, 1079, 2010, 540, 6127, 602, 616, 4625, 1114, 269, 13038, 2055, 2611, 1930, 7282, 519, 10408, 2634, 6127, 602, 1199, 5573, 19697, 2962, 593, 5256, 4638, 2623, 563, 31800, 517, 329, 5622, 962 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 602, 519, 2278, 5185, 269, 3097, 268, 14506, 543, 5813, 281, 1439, 609, 513, 6571, 602, 3091, 513, 1007, 1620, 267, 513, 2631, 540, 2146, 267, 610, 513, 2123, 13414, 267, 1454, 899, 519, 8753, 6537, 538, 8468, 5717, 563, 9359, 519, 1650, 1318, 2476, 269, 1684, 711, 1376, 609, 5220, 899, 476, 834, 5629, 2390, 513, 942, 257, 607, 713, 568, 513, 14703, 2022, 543, 711, 513, 3209, 267, 596, 1058, 849, 2057, 4358, 609, 5929, 5220, 899, 834, 288, 1906, 1296, 3516, 257, 610, 834, 288, 1906, 1296, 1394, 2580, 581, 3860, 269, 0, 2878, 16215, 476, 277, 281, 19871, 7177, 538, 16522, 4854, 10334, 4373, 265, 7072, 22177, 5331, 1373, 2111, 547, 11653, 5946, 602, 666, 4196, 607, 3810, 6213, 543, 1808, 19777, 839, 832, 5827, 540, 16326, 2825, 14107, 267, 2068, 31036, 267, 610, 1256, 2860, 2281, 1369, 3764, 910, 782, 1510, 8506, 7199, 8047, 3937, 269, 901, 12316, 1523, 6013, 693, 519, 2295, 540, 10991, 7350, 267, 1141, 6211, 1949, 616, 2699, 525, 11220, 543, 20979, 585, 3209, 3252, 998, 4719, 12381, 269, 769, 713, 1770, 267, 649, 786, 5490, 883, 519, 4241, 1158, 540, 3940, 4702, 267, 4481, 3695, 922, 1909, 538, 3384, 5969, 12967, 19777, 16428, 4066, 269, 1284, 3513, 2253, 676, 7234, 4909, 3741, 5817, 3940, 2497, 543, 1599, 267, 4553, 676, 606, 6514, 540, 1585, 2994, 6964, 538, 3940, 1374, 543, 11938, 269, 7053, 267, 649, 786, 2263, 875, 891, 2553, 723, 1044, 4294, 547, 1711, 9190, 19777, 839, 832, 585, 4028, 7020, 540, 1216, 17694, 267, 3246, 513, 8903, 1383, 540, 3940, 4702, 781, 13710, 1761, 780, 1262, 4089, 476, 272, 281, 4197, 19871, 12856, 1299, 9577, 4373, 2414, 3927, 11653, 5946, 267, 621, 568, 1898, 1101, 547, 1174, 741, 7293, 3919, 543, 6198, 3601, 269, 2311, 519, 1034, 2596, 1377, 267, 5946, 2874, 540, 11254, 3679, 11800, 1634, 607, 1135, 4286, 696, 1938, 799, 16784, 883, 1950, 1614, 8820, 3889, 5462, 676, 741, 2189, 9696, 269, 1452, 3889, 5512, 5946, 547, 1685, 3309, 5107, 8151, 689, 679, 9195, 1738, 3032, 4519, 547, 7636, 6284, 2621, 2565, 585, 15202, 11444, 269, 6206, 3344, 540, 3940, 6189, 1331, 3119, 630, 3133, 334, 3679, 5311, 1070, 6281, 630, 10382, 13463, 997, 525, 267, 16061, 1606, 19298, 1070, 24596, 630, 22764, 8820, 3337, 1070, 543, 844, 15715, 776, 630, 20123, 2118, 1016, 28493, 264, 3889, 269, 1635, 22392, 891, 2934, 267, 3744, 666, 7369, 3940, 2623, 543, 20688, 873, 585, 5551, 3156, 780, 1262, 4089, 476, 273, 281, 11150, 585, 19871, 5071, 1299, 26659, 4373, 10521, 1292, 4485, 20441, 4207, 3940, 4702, 16097, 281, 7787, 1374, 543, 9859, 4720, 269, 21929, 1374, 3322, 1818, 6098, 2242, 547, 513, 3940, 781, 5311, 1759, 593, 1702, 540, 922, 2497, 543, 7271, 267, 1247, 9859, 4720, 13147, 923, 2067, 5542, 3157, 676, 10451, 1804, 8021, 540, 30354, 5946, 543, 8939, 1346, 609, 4824, 4162, 269, 589, 10316, 1935, 9256, 1312, 2409, 1419, 11729, 6099, 2164, 1813, 547, 5348, 1120, 2065, 2640, 6508, 689, 10128, 12985, 11236, 543, 8097, 9584, 269, 11153, 2645, 543, 2553, 4122, 1031, 538, 3940, 4702, 1331, 3135, 30928, 4573, 10402, 8412, 267, 6389, 2220, 6260, 267, 5399, 4070, 267, 943, 720, 4159, 267, 13803, 2627, 4159, 267, 1164, 28443, 1584, 9584, 29508, 267, 543, 1985, 22831, 15971, 780, 1262, 4089, 476, 274, 281, 645, 17424, 645, 3930, 839, 832, 281, 10241, 540, 19871, 7177, 4373, 3080, 3078, 3498, 540, 3940, 4702, 538, 10991, 7350, 568, 519, 1646, 540, 9190, 19777, 839, 832, 585, 4028, 7020, 540, 2825, 17694, 269, 1306, 12006, 538, 519, 4367, 267, 4551, 4865, 7915, 15392, 7207, 19962, 547, 741, 2702, 547, 2170, 609, 1585, 6675, 3842, 7463, 13805, 5946, 269, 3414, 4719, 14842, 267, 891, 5065, 8596, 666, 581, 8476, 610, 1065, 584, 12723, 547, 4431, 547, 3077, 2555, 5052, 540, 1719, 267, 971, 607, 5230, 8407, 267, 5214, 7135, 267, 610, 13596, 269, 1280, 3236, 267, 3173, 5063, 7152, 602, 18521, 615, 747, 807, 19546, 1223, 581, 22041, 547, 2769, 513, 9168, 8585, 305, 16606, 3815, 17841, 547, 28227, 267, 7175, 3728, 543, 4977, 3067, 2305, 540, 713, 6757, 3693, 538, 1216, 5439, 630, 299, 24926, 1696, 620, 1421, 476, 1001, 280, 1040, 6684, 267, 824, 2516, 723, 10244, 539, 3940, 4702, 3741, 547, 4020, 2898, 16052, 19777, 839, 832, 585, 1483, 6066, 5464, 540, 6491, 878, 12547, 3154, 2157, 630, 16675, 6229, 1696, 620, 1421, 476, 1001, 278, 264, 543, 27187, 4283, 3821, 1583, 990, 541, 14977, 874, 574, 584, 1756, 7020, 630, 313, 28702, 1696, 620, 1421, 476, 1001, 279, 1040, 11814, 1947, 267, 891, 8441, 20838, 519, 10373, 9153, 4371, 676, 3940, 4702, 585, 30507, 19777, 14819, 2029, 2066, 3875, 6080, 780, 1262, 6962, 4373, 9961, 713, 1770, 267, 649, 723, 8268, 519, 6385, 9687, 2361, 540, 3940, 4702, 543, 922, 4644, 538, 5935, 2104, 23484, 1369, 10991, 7350, 269, 3245, 13654, 2035, 12044, 3940, 2497, 543, 1599, 547, 4359, 2994, 6964, 538, 8888, 16419, 19777, 839, 832, 267, 649, 723, 2938, 875, 15834, 21769, 1063, 2780, 2257, 267, 11976, 267, 7998, 267, 6323, 267, 543, 4702, 3136, 547, 7903, 6302, 543, 12260, 13778, 3255, 585, 5647, 269, 11569, 267, 607, 1382, 3646, 14556, 1518, 543, 6639, 7760, 17108, 267, 972, 568, 2370, 8969, 602, 3940, 4702, 786, 2611, 693, 519, 21282, 540, 3621, 6602, 267, 6117, 13710, 1689, 2066, 9922, 17364, 3782, 267, 6683, 267, 1648, 2504, 267, 543, 3564, 269, 0, 2080, 568, 606, 1349, 689, 513, 2546, 912, 257, 20524, 811, 689, 26467, 517, 454, 306, 24678, 10334, 538, 519, 7464, 2622, 281, 12039, 1948, 10619, 454, 300, 17853, 19777, 839, 832, 3713, 1216, 17694, 538, 476, 274, 3764, 563, 296, 6557, 856, 593, 16314, 713, 3018, 267, 865, 1100, 20394, 1985, 11728, 269, 8729, 585, 2542, 2336, 289, 22160, 616, 3532, 267, 2370, 6191, 269, 1358, 4076, 1044, 22041, 547, 3713, 2825, 17694, 267, 5544, 12982, 6786, 3330, 519, 1560, 267, 543, 2048, 338, 333, 858, 685, 856, 1978, 11871, 538, 8983, 269, 594, 4076, 2854, 827, 1142, 540, 891, 3156, 693, 930, 1448, 267, 543, 519, 1982, 332, 1464, 540, 1272, 26208, 803, 1169, 942, 563, 1103, 1210, 4551, 607, 2713, 19777, 839, 832, 267, 1498, 267, 649, 616, 21739, 3908, 269, 10334, 568, 3500, 269, 898, 3217, 693, 2547, 476, 1789, 3764, 585, 513, 3940, 547, 3713, 513, 5365, 267, 20794, 602, 5048, 883, 513, 1591, 267, 3132, 544, 23978, 17683, 513, 24638, 3940, 267, 543, 1071, 518, 576, 10775, 22199, 547, 1118, 513, 3940, 602, 513, 10196, 666, 3713, 896, 513, 17209, 563, 763, 5326, 568, 547, 1118, 4551, 602, 666, 3713, 1022, 8311, 924, 538, 3764, 267, 609, 1100, 16681, 3937, 2838, 563, 2690, 513, 1007, 1353, 538, 7186, 267, 3173, 689, 19676, 1133, 328, 3010, 2237, 606, 3573, 543, 2143, 1576, 1770, 538, 513, 1837, 585, 2852, 1053, 1644, 547, 519, 1349, 1657, 267, 2519, 593, 834, 3682, 12888, 7177, 257, 607, 851, 540, 834, 306, 11799, 1315, 30911, 2668, 1684, 711, 1175, 1592, 2035, 267, 855, 1020, 1142, 835, 538, 1469, 1354, 3001, 547, 519, 1985, 267, 607, 649, 4225, 3178, 540, 1620, 543, 3102, 3408, 540, 519, 1641, 2339, 936, 4560, 780, 2521, 547, 1384, 268, 3550, 538, 3829, 3795, 540, 519, 2035, 563, 268, 2422, 513, 2239, 267, 2219, 4538, 2511, 563, 268, 4045, 519, 1888, 609, 1699, 3466, 267, 1483, 3734, 1806, 267, 610, 2487, 2090, 563, 2710, 711, 1331, 513, 2140, 267, 2606, 2453, 267, 610, 2592, 269, 3503, 519, 1543, 2047, 269, 0, 3848, 476, 277, 281, 2904, 534, 595, 659, 7776, 26492, 692, 5331, 521, 6235, 513, 27598, 267, 3638, 10217, 4235, 602, 781, 1044, 10150, 585, 5215, 540, 1296, 256, 901, 3184, 786, 1491, 596, 593, 513, 8949, 7045, 998, 942, 547, 3605, 875, 519, 1004, 540, 519, 2904, 534, 10340, 1031, 524, 659, 7776, 10365, 547, 1711, 5023, 22476, 13000, 543, 1271, 12738, 269, 1924, 10544, 707, 24203, 976, 543, 1577, 781, 4685, 883, 713, 17705, 1686, 3992, 2439, 4089, 476, 272, 281, 7316, 621, 782, 23548, 534, 1107, 634, 8092, 540, 17286, 9366, 2098, 20529, 692, 5978, 1650, 6238, 538, 513, 18932, 267, 9341, 22986, 4092, 538, 7013, 6792, 1572, 519, 17286, 9366, 2098, 20529, 630, 1088, 8686, 7795, 555, 2129, 268, 651, 327, 1040, 898, 781, 1753, 547, 26009, 10239, 10145, 9643, 538, 7524, 18707, 540, 3039, 543, 31523, 609, 1272, 269, 1280, 811, 982, 476, 275, 267, 1822, 1296, 267, 891, 15417, 3338, 723, 3177, 3501, 2175, 585, 3395, 1945, 5963, 9589, 281, 524, 659, 7776, 4054, 269, 1452, 4054, 3132, 1804, 267, 11176, 11057, 10540, 338, 4904, 609, 524, 659, 7776, 10365, 9789, 1292, 12146, 538, 835, 540, 938, 5172, 13000, 2221, 281, 10217, 2439, 4089, 476, 273, 281, 7581, 591, 1323, 6827, 832, 1107, 634, 2098, 20529, 543, 9986, 332, 1815, 6406, 3074, 692, 16524, 1354, 972, 941, 5259, 15806, 610, 3864, 3744, 267, 972, 5030, 1079, 2516, 540, 11212, 10995, 1004, 1318, 1934, 538, 519, 17113, 281, 519, 2098, 20529, 543, 741, 11937, 267, 519, 9986, 332, 1815, 338, 269, 3502, 1152, 1705, 789, 1628, 11141, 4872, 543, 26829, 267, 855, 789, 849, 6594, 519, 6801, 543, 2813, 6946, 30300, 1513, 547, 3950, 942, 269, 2201, 1283, 540, 602, 267, 789, 4362, 875, 547, 2981, 524, 659, 7776, 10365, 883, 513, 29915, 908, 4235, 789, 3957, 834, 330, 752, 1177, 2437, 799, 4371, 1390, 4644, 538, 741, 2528, 780, 12244, 22830, 281, 8073, 2659, 13574, 25038, 454, 8794, 1957, 10824, 267, 12508, 267, 543, 5569, 267, 1374, 513, 2241, 11706, 1759, 593, 1018, 596, 917, 827, 519, 2904, 534, 7043, 4032, 11706, 610, 824, 6805, 30300, 1513, 269, 9181, 875, 9477, 942, 5280, 519, 606, 857, 757, 1544, 6694, 2238, 899, 9544, 543, 16276, 7031, 780, 4089, 476, 274, 281, 589, 24656, 569, 717, 3424, 1107, 28688, 3220, 3855, 585, 20858, 1023, 692, 24137, 4464, 547, 519, 12625, 540, 5053, 9518, 626, 611, 832, 3366, 676, 670, 1716, 17505, 23634, 15530, 538, 476, 14681, 280, 269, 1261, 1558, 609, 519, 25069, 322, 17169, 7720, 551, 14162, 6373, 267, 945, 4843, 1864, 609, 513, 2027, 1521, 1107, 513, 29413, 267, 25970, 10217, 4235, 1634, 607, 1535, 665, 13331, 331, 630, 19651, 18396, 324, 5025, 30045, 307, 1040, 17214, 689, 2666, 524, 659, 7776, 10365, 6404, 609, 1216, 267, 31625, 18717, 267, 9932, 267, 543, 1585, 14546, 267, 713, 10143, 598, 1723, 794, 6039, 607, 1312, 513, 24253, 20892, 543, 513, 3090, 540, 5763, 543, 1379, 1851, 519, 28665, 269, 17652, 2614, 267, 713, 632, 937, 762, 4235, 1131, 1265, 922, 1259, 2066, 519, 5836, 543, 883, 519, 12271, 540, 1004, 1472, 519, 8608, 780, 12244, 22830, 281, 5071, 2659, 9576, 30094, 720, 454, 21886, 5971, 1053, 547, 4952, 789, 616, 28370, 538, 519, 25069, 322, 10504, 269, 12833, 924, 873, 547, 2721, 543, 6003, 5820, 585, 741, 2189, 267, 1875, 17038, 4022, 545, 10424, 20892, 1210, 2139, 5613, 267, 11922, 267, 543, 14546, 269, 4841, 949, 1256, 1616, 547, 2119, 973, 11661, 741, 10346, 693, 1753, 896, 2385, 15569, 780, 4089, 476, 275, 281, 3465, 6326, 3778, 1107, 7073, 21964, 540, 9147, 9828, 692, 10214, 1498, 649, 1100, 3476, 946, 6149, 2645, 610, 8860, 10007, 1572, 1558, 919, 547, 1184, 524, 659, 7776, 10365, 267, 1082, 3344, 540, 2757, 10217, 2504, 2611, 9800, 2221, 269, 3203, 16388, 531, 10217, 15670, 1869, 887, 770, 543, 20836, 524, 659, 7776, 10365, 1454, 899, 741, 3504, 13413, 1247, 14139, 2413, 2553, 547, 13217, 10366, 543, 9403, 269, 1635, 9256, 2250, 7326, 609, 1007, 10124, 267, 649, 3136, 547, 2972, 519, 1642, 2074, 540, 10217, 1175, 607, 519, 2904, 753, 1705, 865, 1279, 3516, 780, 12244, 22830, 281, 570, 4292, 4530, 18948, 454, 16391, 1125, 513, 6492, 1449, 1063, 4853, 543, 1148, 16388, 958, 18705, 669, 4377, 919, 269, 5620, 1053, 5635, 11183, 267, 24710, 267, 8137, 4967, 267, 543, 9403, 269, 11559, 4901, 827, 3604, 538, 4393, 2409, 543, 1946, 930, 4782, 835, 1826, 936, 1776, 780, 310, 1905, 5455, 1384, 3528, 3695, 519, 4241, 1686, 3297, 2904, 534, 524, 659, 7776, 5389, 267, 649, 2744, 513, 4514, 7071, 585, 713, 11537, 1521, 543, 1346, 945, 16916, 621, 2429, 5553, 269, 1284, 4126, 596, 1745, 6273, 547, 1451, 811, 827, 6237, 3536, 689, 519, 17113, 543, 2671, 707, 16012, 1702, 609, 1920, 543, 2828, 256, 0, 2080, 568, 606, 1349, 689, 513 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 454, 258, 1363, 2132, 804, 338, 14857, 27349, 692, 258, 524, 1156, 815, 589, 3488, 7770, 3299, 2537, 994, 258, 536, 756, 328, 815, 589, 3488, 10292, 10292, 3299, 476, 2190, 994, 258, 1820, 6262, 1156, 267, 536, 756, 328, 994, 258, 1820, 6262, 1156, 20508, 264, 476, 1948, 476, 25263, 504, 420, 351, 360, 26109, 484, 25203, 500, 454, 258, 1820, 6357, 756, 328, 20508, 2020, 258, 6449, 18091, 1029, 476, 23746, 23284, 418, 505, 368, 418, 498, 373, 10254, 353, 13161, 511, 2525, 476, 7511, 25913, 19764, 493, 20992, 10254, 353, 13161, 511, 29219, 12486, 476, 12571, 355, 10254, 503, 20992, 10254, 353, 13161, 511, 19540, 483, 11858, 502, 17295, 364, 417, 507, 478, 454, 258, 1362, 589, 912, 258, 672, 1219, 6449, 8181, 9191, 1345, 267, 2012, 267, 2085, 2187, 258, 1363, 1582, 20508, 815, 2012, 454, 258, 1363, 1582, 269, 720, 815, 2085, 454, 16482, 258, 672, 1948, 13127, 506, 357, 13213, 505, 27310, 2652, 476, 10254, 353, 13161, 511, 28793, 8147, 25263, 504, 19867, 356, 27310, 30244, 14748, 16583, 30936, 454, 258, 672, 1219, 6449, 18091, 9191, 1345, 267, 824, 2567, 476, 1948, 13127, 28187, 31563, 4970, 353, 14748, 14395, 508, 28032, 489, 7511, 31271, 508, 26233, 356, 29219, 25203, 372, 419, 511, 487, 8147, 16533, 365, 25203, 372, 419, 511, 487, 454, 258, 1363, 2132, 6936, 952, 1582, 14857, 18743, 1029, 2652, 824, 14857, 18743, 1029, 3116, 8771, 454, 258, 513, 815, 589, 3488, 7770, 3299, 476, 2537, 994, 258, 536, 815, 589, 3488, 7770, 3299, 476, 2537, 994, 16482, 258, 1820, 5416, 2525, 321, 264, 476, 1948, 13127, 28187, 31563, 418, 366, 350, 20069, 6449, 18091, 1029, 476, 25913, 25622, 12486, 476, 10254, 503, 10254, 353, 13161, 511, 19540, 483, 11858, 502, 17295, 364, 417, 507, 478, 8147, 20069, 10254, 503, 19867, 356, 27310, 1029, 18091, 1029, 25913, 25622, 692, 258, 6449, 327, 1662, 1029, 476, 13127, 497, 486, 27747, 490, 454, 258, 476, 12916, 379, 23523, 501, 31271, 508, 26233, 356, 29219, 25203, 372, 12571, 490, 28793, 8147, 417, 497, 486, 27747, 490, 17295, 364, 417, 507, 478, 420, 25693, 25203, 372, 12571, 490, 454, 258, 1305, 476, 28032, 507, 420, 369, 500, 28098, 420, 365, 350, 7511, 327, 1662, 13127, 23687, 552, 336, 454, 5035, 589, 912, 825, 1219, 6449, 8181, 9191, 1345, 267, 2012, 267, 2085, 2187, 1038, 1582, 20508, 815, 2012, 454, 1038, 1582, 269, 720, 815, 2085, 692, 825, 1219, 6449, 327, 1662, 9191, 1345, 2187, 1038, 2132, 19474, 4311, 20508, 266, 1345, 269, 720, 2020, 825, 1219, 6449, 18091, 9191, 1345, 267, 824, 2187, 1038, 952, 1582, 14857, 18743, 1029, 2652, 824, 14857, 18743, 1029, 912, 2018, 2132, 6936, 454, 1038, 2132, 8771, 692, 320, 815, 589, 3488, 7770, 3299, 1412, 2537, 5073, 321, 815, 589, 3488, 7770, 3299, 1412, 2537, 5073, 2745, 22607, 1662, 5416, 1070, 19474, 6357, 4917, 2745, 263, 3553, 9230, 320, 14720, 30727, 476, 1948, 476, 28032, 507, 420, 369, 500, 19540, 483, 419, 377, 362, 16583, 30936, 6449, 327, 1662, 1029, 13127, 23687, 6449, 18091, 1029, 0, 258, 9041, 265, 318, 8193, 281, 583, 325, 268, 279, 9041, 265, 29390, 1029, 10461, 1029, 815, 1412, 321, 6929, 7055, 1029, 11845, 1029, 815, 1412, 1001, 280, 270, 273, 270, 2764, 476, 16573, 279, 476, 2537, 281, 1704, 262, 7531, 258, 29635, 369, 489, 29219, 13213, 494, 28997, 501, 18809, 454, 258, 561, 529, 272, 815, 1496, 272, 267, 273, 267, 274, 267, 9131, 328, 12887, 331, 913, 12887, 9767, 28710, 1412, 321, 5074, 320, 23300, 258, 561, 529, 273, 815, 561, 529, 272, 476, 1948, 17276, 488, 488, 5894, 273, 18263, 509, 418, 490, 485, 12571, 495, 5894, 272, 7511, 19540, 483, 11858, 502, 17295, 364, 417, 507, 478, 8147, 19867, 478, 23284, 5894, 273, 7511, 29219, 4970, 492, 5894, 272, 7511, 29219, 25263, 504, 25203, 372, 419, 511, 487, 692, 12163, 17276, 489, 371, 420, 368, 507, 16088, 454, 825, 476, 28578, 23989, 25520, 21211, 10429, 372, 418, 489, 354, 20069, 418, 489, 371, 420, 368, 507, 25913, 25622, 8147, 23746, 9463, 502, 12255, 29004, 362, 32352, 417, 508, 489, 454, 17276, 369, 483, 418, 489, 371, 420, 368, 507, 5299, 3097, 825, 13127, 363, 373, 30678, 418, 369, 483, 418, 489, 371, 420, 368, 507, 26033, 490, 420, 357, 478, 8147, 9463, 359, 15159, 21928, 19540, 483, 11858, 502, 18809, 13161, 364, 10254, 505, 417, 375, 374, 29072, 22047, 419, 358, 374, 25426, 368, 11858, 502, 418, 498, 378, 13161, 364, 28578, 23989, 8147, 12916, 484, 13161, 364, 26033, 479, 28578, 23989, 18809, 7511, 19867, 478, 20069, 30317, 27381, 510, 15159, 10429, 361, 10429, 365, 7511, 5405, 505, 30244, 418, 482, 493, 417, 495, 367, 419, 507, 478, 19867, 478, 20069, 19540, 483, 421, 481, 357, 30317, 27381, 510, 7511, 454, 825, 13127, 484, 483, 11858, 502, 17295, 364, 417, 507, 478, 15159, 13601, 21550, 371, 7511, 8147, 15159, 12571, 490, 22047, 30317, 27381, 510, 454, 12163, 258, 561, 529, 272, 815, 1496, 272, 267, 273, 267, 274, 267, 9131, 328, 12887, 331, 913, 12887, 9767, 28710, 1412, 321, 5074, 320, 23300, 258, 561, 529, 273, 815, 561, 529, 272, 6983, 4878, 4590, 258, 1820, 263, 573, 263, 5894, 272, 1070, 7329, 263, 5894, 273, 4297, 11434, 1948, 561, 529, 272, 4970, 492, 5894, 273, 7511, 19540, 483, 11858, 502, 17295, 364, 417, 507, 478, 15159, 21251, 12571, 490, 7511, 454, 258, 1820, 263, 573, 263, 5894, 272, 314, 274, 25818, 7329, 263, 5894, 273, 314, 274, 316, 4297, 1948, 476, 12916, 484, 10429, 370, 19540, 483, 421, 481, 357, 19867, 478, 20069, 30317, 27381, 510, 7511, 19540, 483, 11858, 502, 17295, 364, 417, 507, 478, 10524, 491, 25203, 372, 12571, 490, 692, 12163, 418, 371, 365, 418, 489, 371, 420, 368, 507, 5299, 19709, 788, 32476, 263, 5894, 272, 994, 825, 476, 4970, 492, 418, 369, 483, 418, 489, 371, 420, 368, 507, 7511, 25060, 374, 10254, 360, 16088, 454, 1038, 13127, 484, 483, 421, 481, 357, 7511, 23746, 9463, 502, 12255, 29004, 362, 32352, 417, 508, 489, 7511, 30317, 27381, 510, 7511, 19540, 483, 11858, 502, 17295, 364, 417, 507, 478, 418, 489, 371, 420, 368, 507, 31176, 491, 12571, 492, 15159, 21251, 12571, 490, 7511, 8147, 30244, 418, 482, 493, 417, 495, 367, 419, 507, 478, 19540, 483, 11858, 502, 13161, 364, 19764, 478, 20001, 509, 29072, 11858, 502, 417, 480, 357, 419, 358, 374, 25426, 368, 5405, 505, 10429, 370, 12916, 503, 4970, 492, 418, 369, 483, 418, 489, 371, 420, 368, 507, 13601, 21550, 371, 454, 12163, 5814, 5299, 454, 5894, 272, 815, 1496, 272, 267, 273, 267, 274, 267, 9131, 328, 12887, 331, 913, 12887, 9767, 28710, 1412, 321, 5074, 320, 23300, 5894, 273, 815, 5299, 19709, 788, 32476, 263, 5894, 272, 994, 2745, 263, 573, 263, 5894, 272, 1070, 7329, 263, 5894, 273, 4297, 567, 1948, 17276, 371, 365, 418, 489, 371, 420, 368, 507, 4970, 353, 14748, 28578, 23989, 7511, 19540, 483, 11858, 502, 17295, 364, 417, 507, 478, 15159, 21251, 12571, 490, 7511, 8147, 30244, 4970, 492, 418, 369, 483, 418, 489, 371, 420, 368, 507, 13601, 21550, 371, 454, 2745, 263, 573, 263, 5894, 272, 314, 272, 25818, 7329, 263, 5894, 273, 314, 272, 316, 4297, 1948, 476, 10429, 370, 18809, 21251, 23746, 9463, 502, 12255, 29004, 362, 7511, 19540, 483, 11858, 502, 17295, 364, 417, 507, 478, 10524, 491, 25203, 372, 12571, 490, 8147, 30244, 4970, 492, 418, 369, 483, 418, 489, 371, 420, 368, 507, 13601, 21550, 371, 454, 2745, 263, 573, 263, 5894, 272, 314, 274, 25818, 7329, 263, 5894, 273, 314, 274, 316, 4297, 1948, 476, 12916, 484, 10429, 370, 18809, 23746, 9463, 502, 12255, 29004, 362, 7511, 19540, 483, 11858, 502, 17295, 364, 417, 507, 478, 15159, 21251, 12571, 490, 7511, 8147, 30244, 15159, 4970, 492, 418, 369, 483, 418, 489, 371, 420, 368, 507, 7511, 25060, 374, 10254, 360, 19638, 692, 0, 12163, 21251, 23746, 9463, 502, 12255, 29004, 362, 32352, 417, 508, 489, 16088, 24042, 267, 536, 944, 267, 1193, 267, 703, 825, 476, 955, 23746, 417, 497, 486, 27747, 490, 454, 476, 476, 23746, 9463, 502, 12255, 29004, 362, 32352, 417, 508, 489, 16088, 1592, 8147, 18743, 8147, 1305, 8587, 476, 955, 28098, 10429, 370, 13213, 505, 27310, 13213, 485, 12571, 482, 26175, 491, 25913, 25622, 12571, 492, 8147, 10429, 370, 29219, 10951, 361, 420, 374, 360, 15159, 420, 351, 360, 418, 498, 373, 9463, 502, 7511, 692, 18743, 16088, 20721, 510, 31365, 7511, 268, 418, 366, 350, 20069, 27381, 351, 19764, 499, 454, 825, 476, 272, 269, 1883, 417, 379, 483, 421, 350, 375, 20992, 21251, 23746, 9463, 502, 12255, 29004, 362, 32352, 417, 508, 489, 454, 825, 476, 273, 269, 1871, 418, 366, 350, 20069, 12255, 29004, 362, 32352, 417, 508, 489, 30522, 494, 10254, 370, 692, 825, 476, 25263, 502, 30536, 16088, 454, 1038, 476, 272, 269, 11590, 490, 26166, 418, 509, 354, 19867, 378, 418, 509, 354, 13644, 351, 454, 1038, 476, 273, 269, 27962, 19404, 493, 10429, 367, 419, 367, 375, 417, 508, 489, 12255, 29004, 362, 692, 18743, 16088, 417, 351, 508, 10254, 510, 418, 498, 373, 418, 509, 354, 454, 825, 13127, 351, 508, 16088, 454, 1038, 476, 272, 269, 9598, 9131, 4486, 11172, 815, 1871, 476, 13127, 28187, 31563, 4486, 21251, 11858, 502, 21928, 8147, 10254, 503, 13161, 364, 417, 351, 508, 5405, 505, 454, 4449, 3546, 13127, 28187, 31563, 4486, 26266, 366, 11858, 502, 21928, 8147, 10254, 503, 26109, 484, 25203, 500, 454, 1038, 476, 273, 269, 9598, 15630, 29239, 3488, 4486, 3299, 546, 264, 825, 13127, 28187, 31563, 4486, 21251, 11858, 502, 21928, 8147, 10254, 503, 13161, 364, 417, 351, 508, 1871, 284, 323, 454, 4449, 13376, 13127, 28187, 31563, 4486, 26266, 366, 11858, 502, 21928, 8147, 10254, 503, 418, 366, 350, 20069, 30853, 17958, 8147, 21251, 418, 488, 354, 421, 498, 503, 454, 825, 476, 10254, 510, 16088, 454, 1038, 476, 272, 269, 9598, 21014, 31107, 267, 546, 264, 476, 10254, 510, 30522, 353, 4486, 28098, 18021, 498, 7511, 421, 498, 362, 29219, 8147, 20069, 13213, 498, 18713, 508, 29219, 8147, 13213, 498, 18713, 508, 29219, 20992, 7407, 29219, 25707, 23351, 1883, 21251, 11858, 502, 21928, 10254, 503, 13213, 498, 18713, 508, 323, 8147, 421, 375, 502, 18777, 353, 20992, 14085, 454, 1038, 476, 273, 269, 9598, 21014, 14403, 3890, 567, 28859, 504, 493, 10951, 374, 10254, 510, 30522, 353, 13601, 28098, 421, 498, 362, 29219, 5405, 505, 20069, 13213, 498, 18713, 508, 29219, 8147, 20992, 420, 351, 360, 10254, 510, 30522, 353, 7511, 273, 2389, 340, 921, 454, 1038, 476, 274, 269, 1642, 9598, 9131, 4486, 11172, 476, 476, 10254, 510, 30522, 353, 4486, 28098, 18021, 498, 7511, 421, 498, 362, 29219, 8147, 18263, 509, 23746, 23284, 10254, 510, 30522, 353, 10533, 368, 14748, 21211, 10429, 372, 454, 23351, 1883, 21251, 11858, 502, 21928, 10254, 503, 418, 488, 354, 421, 498, 503, 454, 1038, 476, 275, 269, 9598, 269, 27234, 3890, 672, 17276, 372, 483, 419, 358, 374, 21211, 10429, 372, 454, 825, 17276, 498, 373, 16088, 454, 1038, 476, 272, 269, 9598, 9131, 4486, 11172, 815, 1871, 476, 13127, 28187, 31563, 4486, 21251, 11858, 502, 21928, 8147, 10254, 503, 13161, 364, 417, 351, 508, 5405, 505, 454, 4449, 3546, 13127, 28187, 31563, 4486, 26266, 366, 11858, 502, 21928, 8147, 10254, 503, 26109, 484, 25203, 500, 454, 1038, 476, 273, 269, 2025, 18380, 269, 26303, 28956, 18380, 264, 825, 476, 17958, 2908, 18380, 418, 505, 368, 13161, 364, 1245, 18380, 267, 20069, 19404, 491, 14035, 491, 7511, 4486, 16043, 500, 1245, 18380, 18809, 21251, 11858, 502, 21928, 7511, 4486, 8147, 10254, 503, 418, 505, 368, 13161, 364, 20992, 2908, 18380, 18809, 7511, 421, 498, 362, 29219, 454, 825, 17276, 509, 354, 16088, 454, 1038, 476, 272, 269, 9598, 10947, 3488, 4486, 3299, 546, 264, 567, 476, 13213, 498, 18713, 508, 7407, 267, 13127, 28187, 31563, 30244, 14748, 4486, 21251, 11858, 502, 21928, 8147, 10254, 503, 13213, 498, 18713, 508, 323, 8147, 323, 7511, 421, 375, 502, 18777, 353, 29219, 20992, 14085, 454, 1038, 476, 273, 269, 9598, 269, 12399, 3890, 476, 9598, 269, 11161, 3890, 567, 9598, 29096, 4590, 23526, 1883, 19930, 1871, 8587, 18011, 4486, 3299, 1412, 7407, 17210, 2018, 585, 1883, 267, 1871, 538, 9598, 29096, 263, 2567, 567, 9847, 28859, 479, 491, 31308, 484, 21211, 10429, 372, 421, 498, 362, 29219, 454, 20701, 323, 545, 815 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 267, 543, 10452, 593, 519, 1259, 4755, 560, 766, 543, 3903, 3313, 519, 8846, 2729, 1491, 267, 7917, 17848, 12958, 513, 9066, 593, 3961, 12979, 1819, 538, 606, 17581, 538, 1913, 543, 2592, 540, 513, 4571, 2389, 342, 12351, 10601, 1272, 563, 1103, 476, 7277, 279, 3377, 540, 519, 6602, 540, 4154, 538, 4993, 15427, 606, 11999, 5951, 540, 900, 12568, 4724, 519, 7414, 269, 700, 3293, 676, 519, 9153, 540, 13284, 1127, 267, 5215, 540, 13896, 2451, 3297, 519, 7733, 267, 4764, 267, 543, 15417, 3037, 540, 519, 9456, 2136, 2276, 538, 3870, 540, 519, 11315, 13463, 1233, 3338, 540, 519, 1977, 4639, 269, 634, 10565, 14099, 789, 17388, 547, 3444, 568, 865, 5432, 547, 721, 1631, 602, 621, 568, 2182, 547, 4952, 875, 31029, 1765, 16838, 5601, 325, 832, 2586, 1765, 1080, 22406, 4224, 8188, 543, 3046, 1066, 24301, 8604, 547, 938, 2062, 321, 8986, 563, 26773, 10003, 4639, 6770, 741, 5133, 12667, 569, 547, 1272, 267, 22805, 1927, 519, 12473, 936, 1633, 3460, 540, 519, 4988, 530, 6782, 14884, 543, 519, 8903, 1650, 540, 519, 5251, 789, 11402, 269, 14171, 3988, 2059, 519, 476, 273, 267, 1822, 28902, 4993, 20417, 267, 3223, 603, 9253, 323, 22844, 3096, 519, 1019, 2456, 543, 5022, 540, 519, 13896, 2933, 32737, 1134, 607, 519, 9118, 3108, 646, 814, 6170, 1739, 519, 13009, 23121, 7866, 875, 519, 20569, 543, 11585, 540, 519, 4639, 2047, 4299, 938, 4182, 779, 31023, 7269, 269, 1261, 10274, 721, 998, 513, 1351, 2607, 730, 5251, 540, 4718, 1729, 1054, 10239, 267, 1739, 519, 803, 4526, 12535, 602, 6039, 607, 3076, 3894, 998, 606, 25545, 2244, 267, 782, 519, 1259, 547, 4993, 3294, 267, 1141, 2458, 4575, 29684, 10824, 2813, 18198, 29278, 543, 12630, 519, 4154, 602, 561, 3293, 17631, 7178, 538, 519, 1101, 1747, 563, 2108, 21446, 919, 16900, 1063, 12667, 6589, 540, 519, 476, 866, 628, 10601, 3460, 543, 561, 16112, 3137, 540, 519, 17027, 2621, 602, 8032, 519, 5251, 14612, 269, 1547, 1547, 1547, 634, 5467, 2501, 2476, 609, 1312, 606, 7071, 585, 519, 818, 706, 748, 3444, 9762, 514, 1581, 530, 6782, 3460, 543, 606, 1620, 540, 519, 2621, 602, 2813, 971, 513, 5318, 543, 2352, 5251, 1848, 1765, 299, 3869, 4750, 454, 2108, 314, 300, 15505, 22844, 316, 14405, 593, 1010, 3318, 1702, 547, 2491, 519, 20569, 540, 519, 4639, 267, 6029, 875, 5553, 540, 17027, 2534, 1185, 513, 1463, 1198, 593, 519, 11507, 3144, 676, 519, 17631, 269, 1547, 1547, 1547, 9253, 323, 22844, 2488, 513, 3209, 2272, 540, 519, 4102, 936, 1633, 9194, 2094, 519, 12724, 3547, 1848, 1765, 16631, 5240, 454, 30875, 16817, 29124, 729, 835, 540, 519, 1101, 3318, 2520, 5505, 538, 519, 2136, 2276, 269, 1261, 9859, 1079, 540, 519, 9998, 1533, 17027, 12220, 734, 6124, 14948, 543, 12425, 734, 514, 519, 4571, 268, 8146, 271, 338, 269, 3571, 2101, 1719, 729, 12425, 267, 609, 922, 29630, 1014, 15142, 267, 799, 29124, 4718, 607, 1390, 26642, 540, 24348, 4224, 269, 1261, 1517, 1882, 602, 606, 7664, 540, 891, 26642, 1131, 1291, 547, 606, 1620, 540, 519, 6422, 3157, 602, 1185, 8032, 519, 3618, 269, 3245, 29124, 262, 3646, 547, 2491, 891, 12425, 26642, 3357, 519, 1101, 19918, 1977, 3069, 540, 7823, 15038, 267, 513, 3069, 602, 29124, 13948, 2808, 1010, 1034, 1713, 9740, 563, 763, 4400, 4133, 2552, 7337, 344, 568, 513, 3638, 543, 829, 21082, 2272, 540, 519, 3791, 543, 2063, 2101, 15539, 538, 13524, 10601, 20569, 31827, 689, 519, 960, 540, 11184, 14339, 15104, 631, 3420, 2581, 269, 634, 4505, 8061, 20897, 543, 18095, 6929, 4149, 559, 584, 1014, 27900, 10704, 593, 2436, 519, 31324, 540, 8061, 517, 543, 12986, 1058, 581, 9286, 676, 12776, 1670, 610, 12779, 2632, 1670, 7355, 267, 855, 519, 4400, 4133, 15539, 21256, 689, 519, 7965, 519, 13677, 4400, 4133, 4843, 547, 2520, 5505, 945, 941, 1175, 1565, 547, 21264, 519, 1360, 1950, 3157, 540, 7823, 2679, 543, 23009, 1143, 269, 6424, 6196, 5797, 323, 5205, 713, 15784, 883, 519, 2063, 1296, 540, 519, 13524, 2540, 267, 607, 20569, 729, 9927, 676, 2810, 3318, 1436, 543, 676, 519, 1646, 540, 1007, 2361, 543, 8047, 2553, 269, 769, 10213, 713, 1650, 267, 6196, 5797, 323, 781, 2832, 568, 547, 5659, 875, 3621, 1702, 568, 9112, 1369, 513, 8013, 3621, 2146, 1765, 6011, 3069, 267, 12170, 4681, 267, 543, 1514, 2188, 2170, 538, 519, 5250, 540, 1702, 563, 24874, 5797, 323, 3096, 31150, 1570, 543, 1010, 1378, 3573, 16646, 540, 519, 13524, 10601, 2361, 1740, 538, 513, 2013, 1353, 6029, 875, 2143, 7851, 543, 6810, 1500, 621, 2009, 547, 1174, 519, 24215, 1950, 17027, 2497, 540, 519, 4400, 4133, 454, 2304, 17170, 1840, 547, 519, 1686, 540, 20569, 267, 634, 4400, 4133, 2552, 7337, 344, 849, 2306, 1271, 7418, 547, 938, 1620, 540, 519, 1514, 543, 12497, 3157, 540, 3621, 960, 267, 2523, 538, 2053, 540, 12699, 15539, 563, 301, 4899, 18096, 779, 12984, 2255, 15142, 616, 2442, 18353, 585, 9205, 12439, 538, 1169, 4005, 269, 1452, 10239, 4473, 20498, 569, 689, 519, 5266, 6366, 14860, 6989, 547, 24369, 19589, 936, 476, 1556, 267, 1822, 3952, 538, 15038, 269, 1323, 3606, 562, 31106, 19589, 4473, 811, 982, 476, 1015, 267, 1822, 3952, 538, 15038, 269, 4014, 1082, 19482, 10274, 2291, 585, 519, 12984, 2255, 15142, 267, 972, 814, 1044, 1100, 3391, 1433, 602, 6212, 593, 519, 27230, 2934, 7298, 689, 519, 18162, 1765, 2863, 559, 1631, 563, 24309, 676, 513, 6444, 6392, 593, 519, 20569, 540, 519, 12984, 2255, 15142, 267, 713, 3391, 568, 5921, 547, 10802, 519, 1995, 540, 9205, 12439, 945, 1616, 547, 1174, 519, 17027, 1686, 543, 1646, 540, 519, 12984, 2255, 2039, 269, 634, 1101, 3296, 540, 519, 1433, 12857, 519, 2101, 17027, 942, 5712, 9789, 2594, 540, 7823, 2679, 2621, 689, 9510, 547, 21836, 267, 519, 2360, 540, 12620, 2747, 267, 543, 519, 1646, 540, 519, 1459, 27177, 269, 898, 1287, 5205, 609, 513, 10855, 13009, 3391, 585, 1142, 2101, 13009, 1062, 267, 1519, 7085, 15880, 543, 3026, 742, 338, 595, 1415, 976, 267, 6778, 10493, 639, 267, 9741, 543, 8262, 29158, 6229, 595, 1415, 976, 267, 543, 13852, 338, 24258, 269, 20417, 3259, 267, 15038, 2744, 267, 3448, 7411, 267, 543, 2101, 17027, 2934, 616, 13890, 585, 1142, 13009, 269, 3767, 596, 666, 30382, 891, 18162, 609, 519, 4267, 547, 782, 707, 27230, 2055, 1318, 693, 707, 31840, 563, 288, 3778, 2986, 30578, 454, 294, 2129, 879, 267, 28792, 31089, 7970, 2160, 4964, 267, 476, 1960, 272, 7732, 540, 6837, 1627, 292, 1556, 14371, 5038, 476, 1960, 272, 1923, 1546, 28838, 27252, 476, 20862, 269, 280, 454, 257, 3528, 2484, 519, 1655, 2110, 4367, 547, 519, 1686, 540, 20569, 538, 1820, 383, 494, 383, 494, 528, 856, 540, 621, 267, 585, 602, 2339, 269, 1703, 568, 3274, 1100, 824, 835, 31891, 4367, 547, 519, 2898, 30908, 540, 519, 1686, 540, 20569, 602, 835, 666, 9108, 4363, 547, 1053, 269, 2859, 982, 602, 267, 717, 2129, 879, 781, 5133, 568, 24253, 569, 2518, 269, 634, 2296, 7160, 568, 811, 982, 1175, 513, 8144, 281, 519, 2961, 334, 3960, 529, 543, 519, 2278, 723, 32524, 547, 12172, 543, 4228, 519, 960, 543, 547, 1331, 519, 4967, 31360, 689, 519, 3312, 3943, 7160, 1701, 383, 494, 383, 494, 32354, 23052, 19213, 454, 257, 294, 2129, 879, 6941, 267, 2864, 982, 22281, 338, 269, 22419, 786, 581, 1134, 1606, 5703, 676, 519, 2278, 781, 1416, 538, 4259, 519, 6626, 7214, 2796, 602, 11303, 606, 2856, 610, 513, 1268, 269, 22252, 894, 543, 18398, 693, 519, 1482, 942, 1547, 1547, 1547, 519, 1433, 19262, 513, 2647, 5304, 1701, 383, 494, 383, 494, 298, 3317, 731, 645, 269, 645, 1251, 267, 3047, 7070, 3778, 454, 257, 23850, 5097, 609, 519, 2875, 543, 2489, 5467, 538, 2247, 1547, 1547, 1547, 713, 1547, 1547, 1547, 8098, 4275, 29087, 11741, 543, 13181, 1547, 1547, 1547, 2272, 540, 519, 1686, 540, 20569, 26350, 519, 3007, 540, 5640, 607, 1134, 269, 898, 7319, 12923, 1312, 607, 513, 13801, 4367, 547, 519, 1641, 543, 607, 606, 4612, 633, 1557, 593, 930, 540, 922, 1292, 4798, 1701, 383, 494, 383, 494, 298, 3317, 996, 13177, 267, 1772, 529, 454, 1607, 1433, 568, 676, 2484, 519, 1655, 1686, 540, 20569, 2139, 269, 898, 5956, 609, 519, 16380, 543, 7475, 609, 18626, 20847, 543, 6676, 23033, 9582, 269, 28792, 717, 2129, 879, 849, 5654, 693, 519, 2038, 6436, 540, 519, 5250, 540, 519, 1158, 543, 1287, 7575, 547, 10952, 9840, 936, 10239, 267, 15455, 267, 519, 24627, 267, 22747, 267, 543, 9979, 540, 3618, 1686, 602, 840, 31039, 519, 2520, 5505, 543, 27563, 540, 519, 3735, 22733, 543, 13524, 2540, 269, 2991, 7234, 519, 3735, 13524, 10601, 28051, 540, 6436, 827, 519, 6127, 540, 2242, 538, 519, 3618, 267, 646, 20147, 609, 606, 2272, 540, 14206, 2540, 20569, 781, 3621, 4838, 563, 296, 16305, 781, 4224, 2594, 568, 519, 1587, 540, 811, 982, 1614, 5479, 1296, 540, 17027, 3157, 269, 634, 1533, 28815, 2789, 14501, 540, 18626, 12620, 2747, 1282, 519, 20167, 626, 18152, 10979, 6520, 267, 543, 519, 2063, 27224, 1427, 8972, 689, 19578, 513, 6071, 630, 613, 10999, 6340, 264, 12964, 8536, 1296, 3516, 269, 13405, 547, 602, 267, 19421, 540, 15798, 3357, 543, 4682, 267, 6028, 3297, 14680, 15135, 609, 3638, 8093, 5638, 269, 700, 2313, 5755, 2220, 10102, 267, 30644, 561, 6210, 976, 267, 1490, 4176, 30520, 267, 11999, 782, 12320, 658, 23617, 267, 3504, 20711, 1206, 267, 543, 27726, 2776, 322, 3711, 6929, 7823, 26797, 782, 2451, 741, 1665, 269, 769, 19578, 781, 24959, 12815, 267, 31722, 18722, 3947, 721, 606, 909, 3562, 15082, 543, 1134, 26455, 2272, 540, 519, 1533, 781, 5318, 17027, 1686, 689, 519, 2776, 322, 3711, 6929, 998, 519, 1439, 540, 519, 4279, 10979, 6520, 563, 4517, 3205, 3217, 721, 593, 513, 3460, 18807, 883, 942, 547, 2263, 19578, 781, 4224, 7146, 1606, 539, 2939, 2594, 269, 769, 519, 11397, 2250, 267, 22300, 19578, 729, 4988, 609, 13719, 15798, 282, 598, 26448, 7733, 25577, 538, 2127, 3564, 519, 18626, 22260, 282, 543, 513, 2647, 3099, 540, 2831, 11478, 267, 1519, 15958, 31788, 267, 7882, 1054, 267, 1660, 330, 3404, 267, 9649, 581, 11232, 267, 4342, 601, 267, 543, 9649, 1793, 1054, 563, 763, 4527, 540, 3425, 666, 581, 14360, 1394, 547, 519, 19232, 334, 268, 24465, 8884, 267, 476, 280, 267, 4335, 547, 476, 278, 267, 4335, 1296, 3516, 269, 19578, 538, 19232, 32223, 942, 4810, 3875, 9381, 10750, 543, 13719, 7286, 5054, 269, 7216, 538, 519, 2776, 322, 3711, 6929, 267, 19578, 729, 851, 540, 3504, 7823, 26797, 538, 799, 25342, 543, 824, 7725, 941, 4646, 1134, 2630, 519, 3618, 781, 2627, 563, 763, 15113, 543, 23898, 540, 519, 8316, 4486, 324, 3557, 616, 711, 2479, 331, 8463, 950, 9763, 689, 519, 5133, 540, 27230, 942, 269, 15788, 267, 19578, 781, 27230, 6241, 5638, 606, 9058, 7004, 936, 811, 982, 1614, 5479, 1296, 269, 31722, 18722, 781, 1527, 2224, 569, 11609, 4320, 2488, 513, 3102, 543, 3015, 5619, 540, 519, 1533, 781, 7415, 17027, 2250, 563, 2690, 5553, 267, 5333, 814, 1279, 1044, 519, 1158, 779, 6574, 9174, 26148, 2197, 269, 4706, 25299, 616, 519, 2518, 4154, 3044, 267, 17028, 7458, 676, 19216, 267, 543, 922, 3094, 655, 1136, 4525, 1142, 2709, 2189, 512, 8463, 2833, 267, 689, 519, 24996, 540, 645, 867, 324, 14513, 547, 519, 10874, 787, 4967, 540, 519, 10753, 790, 9503, 269, 4014, 18812, 3099, 267, 2916, 267, 543, 519, 5578, 540, 519, 3094, 655, 6033, 616, 1898, 538, 1818, 1434, 9174, 267, 519, 5748, 540, 513, 9174, 779, 1915, 568, 519, 3037, 538, 799, 922, 18683, 616, 6738, 269, 5808, 1223, 1732, 3391, 721, 998, 519, 2078, 1063, 519, 3943, 2244, 543, 519, 9174, 982, 513, 2520, 6048, 267, 2576, 945, 7184, 17358, 519, 2257, 3297, 519, 3037, 286, 9373, 10196, 8176, 7671, 601, 563, 1103, 8092, 543, 29879, 267, 7671, 601, 3217, 3988, 593, 513, 4663, 540, 519, 3943, 3094, 655, 1136, 4525, 547, 9414, 875, 519, 3037, 267, 5817, 5127, 13702, 267, 8323, 267, 543, 2890, 30873, 3337, 519, 7209, 540, 513, 9174, 269, 634, 1433, 779, 12964, 11271, 1142, 1445, 538, 3178, 593, 513, 1114, 3148, 267, 1519, 519, 10753, 790, 9503, 267, 1325, 338, 864, 267, 26990, 1495, 344, 267, 19598, 27158, 267, 3038, 775, 267, 519, 10910, 20110, 928, 14860, 267, 543, 645, 867, 324, 14513, 267, 547, 2263, 519 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1355, 543, 1866, 3413, 12787, 1312, 7013, 543, 7187, 8280, 7371, 12742, 269, 6419, 2095, 568, 5087, 1189, 267, 1818, 7187, 8280, 7371, 8879, 3676, 267, 17611, 269, 932, 565, 5028, 543, 519, 3171, 951, 8338, 269, 3345, 1606, 1926, 21571, 3604, 538, 2470, 941, 4922, 4767, 1282, 713, 1974, 540, 1977, 2067, 1686, 3408, 543, 12319, 269, 901, 1932, 1131, 723, 6462, 4521, 5459, 779, 8280, 7371, 8879, 3604, 23350, 269, 8832, 21571, 1230, 11717, 759, 1231, 616, 20202, 543, 2760, 3819, 4625, 267, 7013, 21571, 759, 1231, 616, 4628, 15018, 543, 1875, 3613, 1157, 344, 630, 19817, 1023, 543, 546, 2459, 1513, 1070, 1813, 547, 513, 2582, 2168, 3114, 6125, 682, 325, 628, 663, 630, 333, 2180, 9984, 337, 12915, 663, 4433, 1926, 264, 3017, 282, 713, 568, 1419, 5532, 547, 519, 1351, 2723, 529, 1198, 543, 3177, 2417, 1489, 585, 4521, 5459, 779, 6419, 3069, 1282, 713, 1974, 540, 7920, 2941, 531, 1673, 2459, 541, 6080, 1646, 563, 1692, 713, 5129, 883, 4521, 5459, 779, 1390, 6602, 540, 519, 968, 303, 663, 2438, 31515, 3069, 892, 6923, 5205, 563, 4263, 519, 942, 540, 3627, 8725, 779, 8313, 267, 7917, 4521, 5459, 729, 2324, 607, 519, 28018, 528, 29731, 538, 5279, 540, 4509, 3703, 6413, 4559, 1472, 519, 1158, 269, 3571, 13327, 320, 16831, 1137, 5795, 1864, 519, 3255, 2877, 547, 7747, 519, 1585, 2068, 3270, 538, 824, 2477, 269, 589, 1455, 2631, 7664, 729, 782, 602, 646, 2877, 547, 9305, 519, 8795, 4234, 6421, 543, 1279, 6421, 547, 7187, 21571, 543, 7013, 21571, 2068, 3270, 269, 1809, 972, 941, 1346, 7422, 646, 1500, 602, 4769, 1406, 1246, 519, 20337, 3562, 1790, 1961, 2095, 3270, 10567, 676, 519, 2916, 20173, 3069, 4805, 267, 865, 646, 1131, 723, 3144, 891, 3255, 547, 9305, 519, 3652, 602, 10787, 611, 599, 779, 960, 22466, 3823, 513, 2009, 2078, 1063, 1978, 3676, 543, 519, 3618, 779, 6419, 4806, 269, 7102, 7851, 602, 941, 3812, 607, 513, 1267, 540, 10787, 611, 599, 779, 6436, 941, 5612, 10858, 547, 4521, 5459, 779, 7422, 267, 538, 1880, 3823, 519, 5615, 540, 26601, 5028, 543, 8611, 2068, 3270, 2687, 547, 1010, 3069, 563, 763, 1739, 568, 513, 4159, 540, 4521, 5459, 779, 6855, 6329, 4786, 267, 607, 621, 729, 8385, 3370, 630, 320, 3787, 1769, 543, 10169, 968, 325, 690, 4445, 25257, 609, 513, 4786, 540, 519, 3618, 779, 6419, 4610, 3069, 607, 621, 568, 4867, 17814, 269, 634, 10486, 585, 891, 3270, 616, 6654, 563, 8489, 553, 693, 1101, 1250, 6898, 693, 2053, 8604, 23019, 267, 543, 1360, 1454, 3069, 1759, 267, 519, 16726, 540, 4521, 5459, 779, 4786, 547, 519, 3618, 779, 11275, 1143, 4786, 782, 904, 971, 4145, 269, 1548, 2798, 856, 519, 1249, 602, 4521, 5459, 779, 3069, 568, 513, 1463, 1267, 540, 10787, 611, 599, 779, 960, 568, 519, 16726, 540, 519, 1079, 5036, 540, 5248, 1149, 630, 6518, 1152, 5594, 1689, 609, 942, 1070, 538, 1880, 741, 512, 893, 338, 543, 31393, 630, 5471, 11136, 1670, 2474, 2356, 4294, 547, 3046, 6248, 3515, 1040, 901, 6645, 721, 646, 1759, 1010, 17455, 2438, 31515, 7869, 593, 10787, 611, 599, 779, 4031, 540, 11275, 334, 3887, 10431, 640, 585, 519, 4541, 3618, 267, 543, 519, 5248, 1149, 4786, 713, 3069, 13087, 7047, 20802, 547, 3132, 1759, 593, 519, 6419, 15393, 18063, 563, 19177, 11904, 902, 540, 519, 3047, 779, 6419, 2361, 267, 2250, 543, 1459, 1820, 902, 630, 1492, 9510, 568, 538, 519, 5580, 2451, 1040, 8074, 519, 2078, 1063, 4287, 543, 568, 665, 6050, 538, 5580, 2451, 3239, 282, 519, 2539, 1318, 3239, 568, 513, 14805, 566, 540, 1346, 3345, 547, 3162, 568, 665, 6050, 269, 1452, 18613, 4521, 5459, 779, 6855, 568, 665, 6050, 14745, 563, 25187, 5459, 779, 4786, 568, 4843, 1934, 1210, 513, 4023, 547, 4057, 4528, 540, 519, 4786, 602, 729, 1336, 538, 5907, 1106, 269, 589, 1454, 811, 1850, 1043, 543, 24669, 4528, 540, 713, 4786, 729, 3812, 676, 513, 1390, 23507, 337, 543, 1246, 518, 540, 4521, 5459, 779, 960, 267, 16362, 543, 17030, 4115, 7917, 5261, 21634, 7219, 269, 634, 1739, 616, 4521, 5459, 779, 4786, 10268, 11105, 547, 21634, 7219, 779, 4786, 912, 293, 601, 7219, 779, 4786, 18995, 4521, 5459, 779, 568, 665, 6050, 454, 5415, 593, 713, 3069, 786, 581, 5941, 593, 1776, 2985, 563, 1103, 519, 29291, 267, 1294, 606, 1383, 540, 835, 540, 4521, 5459, 779, 3370, 3594, 593, 713, 1888, 593, 1776, 2985, 269, 0, 296, 723, 11540, 827, 519, 3390, 540, 17096, 543, 10677, 1876, 269, 1773, 698, 14705, 779, 1764, 538, 2069, 568, 547, 2569, 2875, 1603, 547, 11049, 3079, 540, 1603, 269, 3509, 2053, 267, 1053, 616, 15458, 593, 519, 4214, 540, 17096, 543, 602, 779, 1946, 621, 4386, 563, 4002, 4864, 476, 1240, 267, 476, 1001, 275, 267, 693, 519, 5303, 11627, 725, 543, 16677, 698, 9609, 10554, 693, 674, 637, 7224, 3557, 267, 594, 786, 1459, 518, 513, 16968, 827, 519, 11925, 282, 11925, 602, 513, 26393, 543, 594, 723, 6035, 2094, 476, 1220, 277, 269, 1358, 723, 606, 1764, 267, 693, 2547, 607, 4080, 676, 519, 1053, 543, 676, 938, 840, 543, 2022, 2389, 3949, 563, 22033, 593, 519, 1357, 568, 1863, 585, 4896, 547, 946, 269, 2334, 779, 1018, 594, 4076, 4862, 1053, 2161, 689, 942, 547, 942, 269, 898, 568, 5266, 2653, 547, 3181, 6064, 602, 7242, 676, 7234, 17082, 779, 2924, 896, 10677, 1876, 563, 1432, 779, 811, 4101, 568, 4543, 12200, 2697, 602, 1482, 6240, 281, 649, 917, 972, 779, 513, 513, 10677, 1876, 269, 1284, 917, 972, 779, 606, 9868, 547, 602, 1876, 1572, 4023, 946, 269, 1548, 568, 811, 2352, 568, 547, 3313, 2436, 938, 2932, 13352, 1369, 519, 4214, 540, 4023, 946, 16638, 519, 2376, 5620, 5441, 5584, 832, 28161, 7913, 623, 29521, 29845, 12448, 932, 578, 267, 808, 6185, 1421, 11828, 713, 1360, 3390, 269, 29550, 543, 12200, 723, 1044, 647, 539, 585, 1519, 10677, 539, 1570, 538, 552, 9113, 12883, 267, 585, 25718, 7044, 689, 4670, 547, 3059, 3898, 630, 10813, 6369, 4465, 602, 835, 264, 543, 585, 7857, 1944, 2835, 269, 1306, 519, 2376, 4967, 267, 972, 616, 1896, 2188, 10470, 2015, 538, 8159, 2436, 513, 946, 13054, 4023, 946, 267, 1519, 519, 3483, 543, 1826, 540, 946, 267, 519, 2179, 540, 946, 543, 519, 1761, 1764, 25718, 1131, 723, 593, 519, 2344, 269, 3509, 29550, 25058, 7270, 547, 21528, 12200, 630, 663, 1053, 264, 3313, 4023, 946, 630, 5408, 552, 3052, 269, 519, 14645, 13068, 766, 4741, 779, 6744, 4289, 1916, 1607, 1281, 6318, 513, 2243, 594, 4076, 6659, 1354, 281, 12582, 1406, 10677, 1876, 581, 4957, 547, 2232, 519, 1007, 2081, 1344, 568, 1500, 2139, 286, 9701, 333, 1406, 7044, 267, 607, 3059, 1344, 267, 581, 11720, 539, 8335, 286, 9701, 10677, 1876, 581, 4957, 547, 1118, 621, 4443, 585, 7855, 547, 946, 10677, 539, 1344, 538, 519, 4690, 540, 2417, 532, 1702, 286, 594, 2015, 621, 513, 1390, 5360, 2939, 952, 2576, 3096, 1018, 594, 4076, 2813, 630, 527, 779, 1869, 513, 4686, 12136, 267, 1498, 32656, 594, 1131, 899, 11760, 618, 267, 865, 1866, 666, 1265, 543, 946, 621, 267, 855, 1745, 1100, 17185, 547, 29677, 1310, 2576, 945, 1031, 1018, 594, 2813, 563, 25898, 594, 1745, 8335, 952, 602, 2576, 729, 711, 606, 19829, 267, 855, 513, 18294, 602, 1500, 2724, 689, 1250, 960, 286, 31598, 16927, 8910, 2503, 602, 18294, 547, 1683, 803, 930, 13180, 267, 602, 1259, 649, 1223, 1312, 2671, 538, 519, 7443, 1500, 269, 2859, 11932, 267, 1498, 267, 1250, 960, 267, 1250, 1913, 267, 1018, 594, 4076, 2919, 267, 814, 711, 1044, 2919, 538, 10072, 269, 594, 723, 11542, 593, 519, 17525, 540, 23766, 547, 1205, 1141, 594, 993, 2221, 269, 1924, 267, 594, 993, 6126, 547, 2671, 543, 948, 1866, 1451, 563, 1103, 519, 2376, 267, 1684, 4841, 5620, 14645, 547, 741, 13574, 11872, 267, 18238, 320, 28828, 345, 26564, 519, 7440, 605, 543, 598, 585, 1053, 26539, 741, 1362, 4967, 269, 634, 1808, 6161, 729, 602, 1053, 941, 14202, 532, 519, 4967, 5196, 7270, 543, 267, 538, 930, 2665, 267, 1625, 1636, 532, 547, 6133, 873, 563, 5575, 267, 1058, 1053, 723, 513, 10677, 538, 741, 1378, 4967, 286, 25999, 2336, 10743, 685, 4967, 616, 10677, 539, 676, 519, 1053, 543, 1053, 1058, 581, 2111, 547, 798, 4376, 789, 1616, 609, 873, 267, 1519, 6133, 873, 630, 24392, 4993, 1876, 2306, 602, 10363, 264, 610, 2022, 873, 593, 513, 3896, 269, 2991, 782, 267, 950, 1053, 1491, 4967, 267, 789, 2461, 4946, 741, 12496, 540, 1018, 741, 16929, 1459, 538, 5049, 269, 901, 568, 3020, 2436, 519, 1053, 5299, 689, 513, 12200, 2173, 1897, 3177, 7291, 610, 2436, 1053, 1711, 543, 7291, 519, 4967, 9003, 689, 15872, 610, 824, 14245, 269, 1656, 4967, 18189, 1125, 1018, 1053, 4862, 267, 865, 789, 666, 946, 873, 547, 1353, 267, 547, 1353, 609, 1866, 538, 519, 1362, 543, 547, 948, 1053, 945, 1705, 711, 7390, 1362, 563, 3383, 267, 1946, 519, 535, 1380, 286, 20513, 3494, 602, 519, 4967, 1053, 1491, 1282, 1362, 616, 1759, 593, 16929, 685, 7214, 3959, 269, 2334, 7214, 3959, 568, 519, 12200, 2818, 685, 538, 11665, 6881, 540, 1382, 630, 27271, 264, 610, 824, 1344, 602, 519, 12200, 2818, 723, 2919, 936, 942, 543, 1419, 693, 1390, 4674, 543, 13258, 269, 1809, 1577, 779, 4983, 602, 1448, 811, 5702, 269, 4107, 12200, 1705, 711, 1711, 713, 1702, 10446, 1700, 16269, 2813, 621, 676, 968, 9227, 593, 519, 17525, 540, 23766, 892, 538, 741, 4610, 543, 2679, 593, 1346, 23766, 685, 1382, 543, 1702, 269, 4014, 519, 16929, 1459, 741, 968, 339, 820, 892, 593, 519, 1702, 543, 519, 12200, 779, 6881, 568, 3976, 10677, 762, 11305, 9728, 539, 543, 3407, 267, 602, 3085, 1406, 1611, 602, 519, 1053, 3112, 10677, 741, 968, 339, 820, 892, 593, 519, 1344, 269, 3962, 1367, 779, 7664, 540, 519, 1344, 814, 1871, 7146, 10677, 1876, 14998, 602, 1871, 547, 581, 6870, 563, 1607, 12651, 513, 3677, 3390, 267, 1498, 267, 519, 3390, 540, 968, 32474, 892, 538, 2489, 543, 519, 10677, 1876, 538, 1880, 269, 769, 2069, 267, 649, 2611, 12311, 4765, 547, 519, 10206, 602, 1702, 29084, 9003, 1369, 519, 1625, 1613, 540, 519, 14357, 269, 6056, 827, 621, 267, 1498, 269, 4340, 547, 5616, 267, 972, 616, 5176, 476, 9873, 2929, 2835, 630, 663, 621, 4566, 547, 7857, 1125, 782, 540, 873, 1040, 1306, 540, 4864, 476, 1001, 271, 267, 5616, 814, 7857, 1242, 5111, 476, 1321, 2929, 269, 2334, 1281, 711, 1331, 824, 1568, 267, 971, 607, 9263, 24595, 4930, 2139, 538, 1957, 543, 5907, 3898, 269, 898, 779, 7543, 585, 1022, 835, 12200, 4759, 547, 723, 17117, 936, 1022, 1713, 851, 540, 602, 269, 769, 1249, 267, 602, 779, 519, 2601, 602, 3450, 1344, 543, 3059, 7924, 568, 865, 1271, 32717, 779, 711, 1152, 2348, 930, 1702, 602, 779, 1271, 267, 621, 779, 8449, 1271, 547, 581, 2111, 547, 1265, 543, 9691, 6268, 519, 1344, 602, 779, 2139, 10876, 563, 7197, 540, 721, 538, 2362, 2069, 4001, 3297, 6806, 9885, 269, 1284, 4283, 519, 4928, 543, 519, 3450, 543, 1565, 602, 4386, 3297, 602, 7450, 568, 513, 5728, 1063, 519, 4116, 543, 519, 1053, 538, 602, 1576, 269, 1879, 1053, 9096, 602, 1576, 267, 789, 616, 547, 10836, 609, 3152, 1702, 982, 950, 789, 9411, 269, 1656, 594, 4126, 602, 779, 3020, 269, 30785, 4879, 666, 948, 12200, 3313, 2436, 602, 814, 7018, 563, 21953, 1569, 547, 1344, 814, 4957, 543, 865, 267, 1932, 267, 1590, 12200, 779, 1909, 269, 634, 973, 2787, 543, 590, 7095, 1505, 540, 15819, 865, 2442, 1282, 24198, 685, 942, 729, 1759, 593, 519, 2856, 602, 24198, 1185, 968, 1348, 782, 519, 2835, 892, 543, 607, 646, 4843, 1010, 610, 2218, 646, 20402, 1010, 1053, 547, 2327, 602, 789, 941, 968, 1326, 1154, 621, 2223, 14356, 1317, 519, 1053, 22821, 1406, 968, 1348, 782, 519, 2835, 1848, 3767, 267, 1053, 723, 1569, 547, 519, 2835, 543, 1569, 547, 513, 2647, 3099, 540, 3059, 2200, 29931, 323, 1043, 543, 1875, 29931, 323, 1043, 269, 1306, 2029, 5170, 547, 2087, 267, 1053, 786, 581, 2111, 547, 946, 741, 1591, 11436, 547, 1569, 2484, 811, 2200, 982, 519, 12200, 269, 20513, 779, 1909, 1590, 1689, 547, 835, 540, 21528, 1053, 6218, 543, 4383, 602, 1344, 267, 538, 1840, 547, 8429, 593, 519, 1883, 2035 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 519, 1788, 786, 581, 17808, 267, 971, 607, 513, 3860, 1523, 13170, 585, 513, 6725, 5859, 269, 11947, 2775, 519, 1439, 540, 513, 5123, 610, 3942, 269, 2560, 20128, 2775, 513, 2101, 2680, 610, 5838, 762, 269, 2560, 10312, 593, 18644, 3853, 543, 1883, 2164, 563, 1692, 798, 596, 1544, 513, 1788, 15415, 888, 11073, 1467, 707, 1788, 5618, 267, 1519, 3853, 267, 942, 18134, 267, 543, 29444, 269, 2560, 5903, 856, 782, 540, 519, 3268, 596, 991, 547, 2347, 707, 1788, 269, 2560, 6480, 1493, 875, 1454, 942, 1142, 1900, 786, 1491, 547, 1628, 856, 707, 15415, 269, 2560, 10934, 856, 29444, 543, 5311, 540, 3268, 269, 2560, 8571, 707, 15415, 269, 2560, 9523, 621, 609, 8639, 21457, 3688, 7498, 1432, 568, 1788, 1272, 4783, 888, 1432, 568, 513, 5741, 5020, 18888, 286, 634, 1788, 1272, 4783, 568, 513, 476, 275, 9912, 5943, 2966, 547, 948, 1788, 9946, 3391, 741, 3785, 6707, 689, 1376, 547, 9096, 269, 634, 3483, 540, 519, 1788, 1272, 4783, 568, 547, 1711, 606, 2653, 547, 1246, 5943, 547, 3391, 3785, 563, 1432, 568, 1788, 1272, 4783, 609, 1383, 888, 763, 5741, 5020, 18888, 5161, 540, 2185, 1292, 11775, 998, 799, 519, 5741, 15440, 543, 1010, 2319, 2119, 547, 3035, 519, 6859, 602, 519, 1788, 3294, 5036, 269, 634, 2185, 11775, 602, 1665, 519, 1272, 540, 519, 1788, 616, 281, 17748, 1315, 1376, 267, 4058, 267, 11056, 1315, 6388, 543, 19479, 563, 1432, 2306, 513, 1434, 1788, 9614, 888, 2414, 581, 513, 5963, 1390, 1788, 9614, 267, 596, 1590, 581, 513, 7580, 1870, 7649, 4628, 642, 6479, 538, 10721, 1967, 2443, 543, 581, 2111, 547, 5066, 609, 17149, 22303, 269, 2560, 3502, 1152, 798, 789, 14892, 3785, 1369, 9165, 267, 789, 616, 18177, 267, 7580, 1870, 4891, 4628, 642, 6479, 538, 10721, 1967, 563, 1692, 798, 594, 1205, 856, 540, 513, 1788, 888, 306, 11691, 1100, 798, 779, 543, 1810, 685, 1206, 2710, 2995, 519, 1268, 596, 3580, 1205, 1394, 547, 873, 269, 2560, 1684, 1413, 693, 519, 2462, 4605, 269, 2560, 1684, 5031, 519, 1871, 540, 707, 960, 543, 540, 707, 942, 269, 2560, 1684, 581, 7682, 633, 543, 8746, 269, 2560, 1684, 4584, 707, 12959, 269, 2560, 5213, 1406, 627, 710, 827, 2348, 1932, 1454, 960, 269, 2560, 5213, 1406, 2285, 968, 527, 779, 711, 538, 1250, 4305, 6609, 892, 607, 513, 2601, 547, 20549, 606, 7084, 21457, 3688, 2507, 31220, 1432, 616, 519, 476, 276, 5933, 540, 513, 1788, 888, 14946, 539, 676, 519, 5741, 5004, 4659, 630, 303, 11085, 1070, 519, 2947, 11775, 540, 1788, 2359, 1331, 17748, 543, 22612, 267, 4058, 267, 11056, 267, 2773, 270, 3000, 13501, 267, 543, 1788, 2673, 563, 1432, 568, 513, 2241, 1788, 1544, 888, 288, 1788, 1544, 267, 849, 1634, 607, 513, 1788, 2359, 1544, 267, 568, 513, 3561, 602, 3568, 513, 1788, 9165, 543, 6662, 269, 898, 568, 1034, 4122, 6719, 538, 519, 1106, 540, 513, 575, 656, 339, 5750, 547, 1118, 621, 2653, 547, 5968, 547, 8639, 563, 1692, 798, 596, 6430, 593, 513, 1788, 888, 2026, 596, 7832, 593, 519, 5542, 1184, 267, 1118, 2386, 547, 2015, 2947, 1883, 2798, 281, 28444, 675, 602, 519, 1788, 20383, 609, 707, 10721, 4640, 269, 2560, 10576, 513, 1788, 22299, 269, 2560, 18430, 606, 10721, 610, 2825, 4879, 269, 2560, 8178, 707, 2200, 269, 2560, 10576, 707, 6724, 585, 1967, 563, 1692, 798, 596, 1291, 513, 3811, 1788, 888, 763, 1739, 2947, 3268, 786, 1291, 547, 513, 10888, 1788, 2319, 2529, 307, 7968, 21450, 1107, 19372, 519, 12243, 269, 634, 1101, 1900, 568, 547, 3715, 519, 1788, 2359, 2319, 269, 2560, 5254, 7968, 29375, 302, 1107, 11120, 4106, 622, 13229, 9442, 269, 2560, 5254, 7968, 8946, 12767, 1107, 11559, 21664, 269, 2560, 5254, 7968, 674, 21788, 1107, 20504, 543, 28509, 10819, 269, 2560, 5254, 7968, 674, 25893, 1107, 23779, 543, 25166, 731, 563, 1432, 616, 519, 3670, 11775, 540, 1788, 2359, 888, 4322, 1331, 8600, 1688, 9248, 267, 2866, 519, 1439, 3755, 267, 4259, 909, 1489, 2319, 267, 1603, 1788, 1867, 267, 10442, 519, 1788, 267, 22151, 547, 519, 7255, 2319, 543, 24905, 1782, 519, 1788, 269, 634, 3670, 25686, 2203, 568, 2966, 593, 519, 4341, 1107, 2048, 20459, 1354, 596, 957, 17483, 1692, 798, 596, 4383, 513, 1788, 689, 1376, 547, 9096, 888, 23945, 2659, 5741, 26368, 707, 1788, 269, 2560, 16294, 3853, 543, 6859, 269, 2560, 16294, 4247, 269, 2560, 12706, 707, 2319, 269, 2560, 2142, 3222, 540, 1022, 1788, 6146, 619, 269, 2560, 8073, 513, 15415, 269, 2560, 5192, 5955, 269, 2560, 17797, 707, 1544, 9935, 563, 1432, 568, 519, 1655, 1259, 547, 4383, 513, 1788, 888, 1015, 18467, 5741, 2494, 6162, 13773, 5029, 1242, 13729, 6788, 2038, 269, 3245, 519, 4098, 267, 596, 1058, 1577, 707, 2319, 610, 5520, 917, 1018, 707, 6788, 585, 519, 1788, 616, 269, 2560, 16294, 9165, 269, 2560, 7427, 513, 10959, 269, 2560, 5623, 3356, 1996, 513, 1788, 1544, 269, 2560, 5590, 942, 7182, 269, 2560, 20821, 4749, 269, 2560, 3763, 606, 2500, 25937, 1062, 269, 2560, 31478, 569, 15518, 622, 4247, 21457, 3688, 7498, 1432, 616, 519, 476, 275, 11775, 540, 1788, 2359, 888, 2467, 616, 476, 275, 1788, 1272, 4783, 11775, 281, 22612, 267, 4058, 267, 11056, 267, 543, 19479, 563, 1432, 1058, 513, 1788, 1544, 1331, 888, 763, 1788, 1544, 3335, 6227, 3584, 1031, 538, 519, 1788, 11056, 1062, 543, 2882, 519, 1739, 1292, 3344, 281, 9928, 2100, 2359, 10611, 3225, 790, 906, 2359, 2529, 3832, 7191, 2359, 12171, 514, 2574, 2359, 269, 26660, 2359, 269, 4910, 1830, 2359, 269, 1805, 820, 14516, 2359, 1107, 1715, 689, 6751, 289, 10498, 476, 276, 5861, 2174, 684, 10716, 2359, 21457, 3688, 2507 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 267, 610, 2592, 269, 3503, 519, 1543, 2047, 269, 0, 3848, 476, 278, 281, 8693, 268, 5715, 340, 1027, 26066, 18171, 1841, 543, 29675, 13786, 525, 692, 7072, 692, 20458, 1689, 814, 1831, 513, 10296, 2518, 3390, 602, 13514, 1713, 6937, 547, 1585, 3344, 540, 938, 1604, 543, 2486, 269, 2290, 971, 3463, 568, 519, 2799, 4908, 543, 8515, 540, 3665, 4365, 2621, 267, 799, 723, 4049, 4539, 585, 9381, 8134, 269, 1452, 8134, 616, 3810, 11327, 543, 3407, 1949, 602, 1489, 3309, 7286, 1272, 543, 1683, 3875, 2640, 547, 3425, 267, 1519, 1426, 11865, 267, 7088, 4027, 267, 543, 2686, 2418, 269, 1717, 267, 789, 616, 849, 1851, 519, 1034, 7925, 547, 2916, 1689, 1813, 547, 741, 1970, 15038, 543, 4598, 547, 4262, 1377, 4473, 267, 7088, 1147, 2471, 267, 543, 824, 9381, 10898, 269, 901, 3184, 12538, 883, 519, 5222, 540, 2916, 14001, 9381, 10898, 543, 7710, 1761, 9542, 2994, 547, 3986, 6043, 538, 891, 2565, 1949, 780, 8139, 26066, 23270, 338, 543, 4256, 7896, 692, 10870, 770, 531, 8134, 7854, 513, 3376, 2039, 540, 9249, 267, 1519, 1609, 340, 2456, 267, 6070, 23047, 1127, 267, 694, 698, 14993, 803, 27595, 267, 14147, 18625, 267, 543, 22600, 17311, 7733, 269, 1358, 616, 6353, 676, 2189, 2825, 2175, 1141, 15195, 543, 6070, 4248, 3575, 267, 2870, 513, 6422, 543, 11327, 1062, 602, 7028, 10731, 2030, 543, 3662, 1272, 269, 26066, 8134, 1683, 1898, 5370, 543, 2533, 267, 1519, 21996, 2504, 267, 1216, 19288, 267, 3327, 3524, 652, 1674, 267, 11761, 1852, 267, 543, 16351, 3255, 269, 769, 1840, 267, 789, 4196, 607, 1271, 10889, 619, 1996, 2067, 12469, 267, 4227, 5951, 1648, 1282, 15420, 543, 31364, 9381, 2950, 689, 14700, 543, 11761, 780, 19808, 9711, 540, 8693, 268, 5715, 340, 1027, 26066, 18171, 1841, 692, 763, 2810, 4908, 543, 10335, 540, 2916, 5829, 10898, 10460, 2101, 2591, 547, 9381, 8134, 262, 2702, 547, 1599, 3927, 543, 30396, 269, 7256, 1377, 4473, 267, 3361, 5097, 676, 13621, 4672, 9212, 543, 22260, 543, 8143, 7269, 540, 5836, 7297, 267, 666, 1267, 538, 32132, 18956, 267, 7226, 12159, 267, 543, 2799, 6360, 1981, 269, 6684, 267, 811, 7928, 543, 7920, 15420, 666, 1291, 547, 14042, 7088, 1147, 2471, 267, 14124, 6329, 267, 543, 1164, 12798, 602, 22652, 9381, 11761, 543, 7519, 8733, 3252, 269, 5047, 267, 2242, 538, 13247, 3270, 543, 2837, 20816, 949, 1860, 1216, 2298, 267, 24952, 2157, 267, 543, 8770, 8244, 267, 2417, 2566, 532, 9381, 7103, 543, 19249, 2146, 3889, 780, 3849, 2194, 532, 547, 26066, 18171, 1841, 281, 12694, 543, 19662, 692, 11693, 519, 3395, 6937, 547, 9381, 8134, 689, 2916, 1689, 267, 621, 568, 2629, 547, 2263, 543, 2936, 2500, 9542, 3800, 602, 3895, 6043, 543, 7413, 2942, 5222, 269, 2368, 2009, 4485, 1331, 1384, 265, 2494, 3042, 4825, 805, 281, 1635, 3850, 5032, 6050, 547, 22109, 2244, 1189, 998, 9709, 882, 6327, 540, 1646, 2476, 689, 7925, 10851, 267, 7307, 18956, 2488, 513, 14942, 4640, 585, 8383, 908, 8375, 15798, 1247, 8497, 1898, 8134, 269, 4014, 20833, 4101, 543, 14427, 267, 7307, 18956, 3091, 1279, 3856, 3435, 585, 7863, 1312, 1514, 543, 8733, 1949, 563, 265, 7177, 10298, 281, 10434, 4702, 3681, 899, 23772, 8712, 267, 682, 557, 525, 267, 543, 2736, 31662, 666, 2149, 2919, 2127, 543, 2569, 11761, 4220, 269, 1717, 267, 789, 1419, 15936, 609, 2067, 3157, 543, 949, 14207, 9381, 5117, 1072, 676, 28142, 11159, 3350, 543, 22212, 3289, 25233, 6384, 269, 4475, 267, 6297, 7156, 1058, 581, 2016, 547, 8939, 3617, 6753, 543, 6272, 602, 2057, 8801, 2360, 593, 7404, 9249, 563, 265, 26954, 26198, 281, 23488, 22626, 8697, 610, 28811, 9381, 9249, 267, 971, 607, 19126, 543, 23690, 3122, 18625, 267, 666, 948, 11574, 930, 540, 519, 8801, 5222, 2404, 609, 4262, 1377, 4473, 543, 7088, 1147, 2471, 269, 1280, 3236, 267, 17468, 6070, 332, 1513, 1127, 666, 17280, 5951, 2962, 267, 15972, 21439, 267, 543, 2226, 1216, 2298, 267, 7551, 7393, 2949, 9381, 6043, 563, 265, 26291, 543, 8889, 15753, 3311, 281, 21988, 6388, 540, 13261, 2359, 2853, 3340, 7347, 10350, 10850, 543, 4507, 602, 7520, 5698, 2066, 1114, 9922, 267, 8639, 267, 543, 8901, 10253, 269, 15043, 2312, 4808, 267, 6042, 267, 543, 15314, 693, 2199, 267, 6237, 267, 543, 3084, 2157, 666, 2327, 20291, 3646, 2509, 8236, 4264, 4093, 585, 1312, 14227, 543, 8733, 1949, 780, 6962, 692, 1103, 3932, 267, 2916, 14001, 9381, 10898, 2099, 1713, 2591, 585, 9381, 8134, 5001, 267, 26089, 14849, 3007, 543, 2962, 269, 3414, 5483, 3375, 6194, 267, 7580, 4058, 267, 543, 5499, 2359, 4485, 267, 972, 568, 9645, 9165, 585, 2679, 14388, 543, 14762, 9381, 5054, 602, 3136, 547, 5838, 4105, 5370, 543, 2533, 585, 2104, 5481, 269, 0, 2080, 568, 606, 1349, 689, 513, 2546, 281, 834, 3918, 26177, 1923, 8222, 281, 1015, 269, 20385, 4510, 270, 2181, 21646, 1708, 20542, 269, 30033, 273, 18192, 272, 454, 20428, 281, 7025, 1656, 3047, 7070, 267, 7025, 3163, 27511, 281, 29675, 282, 8693, 1689, 282, 26066, 10898, 282, 26066, 8134, 282, 23977, 1676, 1464, 454, 15697, 281, 476, 277, 5239, 476, 1708, 274, 630, 1556, 281, 7367, 281, 7367, 595, 12239, 994, 10870, 770, 531, 8134, 1683, 513, 2647, 2039, 540, 5370, 543, 2533, 585, 519, 2729, 540, 1480, 7919, 543, 12748, 2249, 269, 11048, 267, 2916, 14001, 3665, 2621, 2014, 13778, 5222, 593, 891, 2127, 267, 1128, 580, 908, 513, 5786, 540, 12748, 5370, 543, 2533, 267, 9552, 540, 5989, 267, 543, 2530, 540, 1480, 2729, 269, 9747, 267, 713, 2689, 11567, 519, 5222, 540, 2916, 14001, 9381, 10898, 543, 9542, 6114, 269, 589, 9836, 2689, 1505, 729, 1031, 547, 2232, 519, 6859, 540, 713, 3332, 2689, 269, 634, 1292, 1239, 2959, 941, 3194, 19835, 267, 5616, 10104, 267, 2480, 22455, 267, 5680, 540, 3163, 267, 543, 32253, 12240, 269, 589, 2698, 540, 476, 2412, 1382, 4930, 630, 1001, 273, 268, 1708, 274, 264, 941, 5697, 1210, 519, 2776, 31084, 27561, 27294, 585, 3590, 1738, 17352, 543, 26426, 268, 26046, 630, 11266, 3041, 7246, 476, 1708, 271, 264, 544, 6231, 2237, 606, 3573, 543, 2143, 1576, 1770, 538, 513, 1837, 585, 2852, 1053, 1644, 547, 519, 1349, 1657, 267, 2519, 593, 13316, 1315, 6820, 654, 9879, 1299, 8693, 7827, 1315, 16661, 6987, 23767, 269, 1684, 711, 1175, 1592, 2035, 267, 855, 1020, 1142, 835, 538, 1469, 1354, 3001, 547, 519, 1985, 267, 607, 649, 4225, 3178, 540, 1620, 543, 3102, 3408, 540, 519, 1641, 2339, 936, 4560, 563, 2521, 547, 1384, 268, 3550, 538, 3829, 3795, 540, 519, 2035, 563, 268, 2422, 513, 2239, 2219, 4538, 2511, 563, 268, 4045, 519, 1888, 609, 1699, 3466, 267, 1483, 3734, 1806, 267, 610, 2487, 2090, 563, 2710, 711, 1331, 513, 2140, 267, 2606, 2453, 610, 2592, 269, 3503, 519, 1543, 2047, 269, 0, 6092, 5149, 281, 18650, 17020, 853, 4958, 4221, 20113, 585, 16200, 518, 4053, 3380, 543, 17434, 338, 692, 22706, 5426, 281, 5664, 3427, 630, 277, 628, 910, 476, 279, 628, 6103, 2020, 7072, 912, 1103, 713, 1576, 1770, 267, 649, 3513, 2263, 4187, 6512, 15198, 5751, 267, 799, 616, 1390, 2081, 547, 7794, 707, 6091, 543, 2087, 519, 8112, 540, 707, 10549, 269, 1452, 5751, 946, 13412, 13164, 1572, 4187, 13164, 267, 3246, 1114, 2157, 540, 8082, 4470, 593, 875, 1454, 596, 12701, 873, 269, 1635, 6220, 891, 2241, 2943, 2500, 5322, 883, 707, 3232, 6296, 267, 596, 3513, 1831, 6793, 267, 811, 8465, 267, 543, 1447, 12155, 547, 7063, 256, 1284, 3513, 849, 1865, 835, 1271, 4745, 538, 1880, 1107, 519, 12597, 1107, 543, 922, 1292, 5885, 3889, 267, 971, 607, 28587, 267, 1519, 519, 31443, 32097, 30301, 630, 10157, 299, 6393, 8893, 476, 272, 281, 1548, 3657, 700, 580, 14613, 543, 4208, 3657, 1358, 12830, 888, 299, 580, 14613, 616, 9157, 267, 32248, 13164, 8220, 7633, 1927, 693, 10549, 269, 4256, 3119, 1599, 568, 547, 2061, 7050, 5163, 1063, 1346, 4448, 7633, 269, 901, 2337, 2226, 6617, 1282, 1585, 2238, 899, 4881, 267, 17259, 267, 610, 1256, 1175, 7555, 1869, 269, 1703, 616, 1896, 28587, 1472, 1142, 540, 938, 2101, 10549, 282, 930, 1683, 24364, 6617, 1247, 1866, 3970, 2427, 1811, 20517, 269, 2290, 1383, 568, 519, 631, 12710, 267, 4092, 3330, 519, 12597, 4745, 269, 898, 1568, 7258, 1614, 824, 1883, 28587, 547, 1832, 707, 12597, 7123, 950, 3001, 610, 4657, 4287, 3533, 780, 8893, 476, 273, 281, 4197, 918, 26234, 22845, 543, 5871, 20070, 3753, 454, 7312, 12597, 568, 1500, 909, 540, 2185, 1292, 2694, 281, 3185, 584, 630, 628, 662, 5642, 1070, 512, 28992, 630, 3333, 514, 14752, 1070, 1273, 7578, 630, 330, 928, 1815, 777, 1070, 543, 20162, 269, 15316, 28844, 267, 6091, 267, 543, 28587, 3295, 891, 7633, 547, 10110, 8710, 267, 24644, 5322, 267, 543, 7520, 5347, 19755, 543, 2786, 2287, 3527, 269, 10251, 267, 1813, 547, 1164, 1764, 610, 6335, 532, 4229, 267, 19704, 666, 3006, 7985, 3441, 267, 3056, 547, 11213, 2175, 610, 7063, 269, 1975, 23230, 547, 519, 631, 12710, 2049, 950, 519, 30301, 4991, 21401, 3564, 922, 3339, 2039, 540, 5163, 267, 1419, 4611, 689, 1463, 9514, 338, 610, 26101, 2244, 902, 780, 8893, 476, 274, 281, 11588, 540, 4635, 18650, 645, 1343, 585, 853, 4958, 4221, 543, 16237, 28517, 454, 4910, 2700, 13164, 2709, 3875, 5383, 936, 2757, 1863, 12035, 1317, 789, 1450, 16795, 4679, 538, 7411, 676, 14577, 519, 2179, 540, 3196, 2838, 547, 12701, 873, 269, 3958, 267, 2094, 789, 9260, 1985, 547, 4986, 267, 24317, 543, 13936, 873, 568, 11212, 2653, 269, 1879, 1210, 4187, 13164, 585, 15198, 543, 14304, 267, 1445, 593, 3500, 267, 6417, 5322, 2864, 982, 2656, 267, 28478, 5652, 3283, 269, 11408, 3314, 547, 3636, 909, 1354, 4358, 1022, 3635, 20786, 267, 23679, 998, 1769, 28491, 2238, 899, 6972, 610, 28185, 3101, 780, 8893, 476, 275, 281, 12726, 18650, 17020, 853, 4958, 2583, 585, 2659, 6181, 338, 543, 918, 928, 525, 454, 2080, 616, 1614, 19444, 7888, 4187, 6512, 5751, 13389, 707, 7953, 543, 19704, 1384, 272, 269, 1530, 730, 8621, 11415, 4354, 331, 281, 23063, 1524, 609, 1312, 7953, 6905, 4464, 267, 16833, 519, 4187, 6512, 1472, 519, 11084, 540, 707, 3952, 267, 3180, 5196, 2901, 1439, 540, 519, 6512, 267, 1287, 18846, 707, 19704, 2509, 707, 9221, 7444, 269, 9524, 1079, 5036, 540, 4557, 10221, 1431, 563, 273, 269, 30557, 31177, 2806, 9134, 281, 31230, 519, 6512, 1472, 1312, 17094, 956, 267, 1796, 7381, 609, 3952, 12048, 2914, 5954, 6306, 267, 6521, 2597, 5196, 835, 1850, 267, 1287, 12740, 519, 6587, 1850, 21286, 1996, 519, 4187, 2394, 6252, 609, 519, 6989, 269, 13159, 1079, 5036, 540, 19939, 1065, 338, 829, 2427, 563, 274, 269, 12910, 1400, 918, 26234, 22362, 281, 24344, 569, 17063, 835, 1439, 540, 519, 4187, 6512, 547, 513, 19335, 1843, 2630, 22765, 4463, 267, 8520, 519, 824, 1439, 1472, 707, 21721, 267, 3068, 2476, 689, 519, 19671, 1448, 267, 8831, 707, 1850, 18807, 1996, 519, 4187, 267, 4509, 24933, 3346, 2429, 269, 19244, 8938, 2053, 1354, 15175, 5011, 780, 6962, 912, 3528, 10128, 4187, 6512, 15198, 5751, 883, 707, 2834, 15904, 13467, 267, 596, 666, 3986, 4887, 4222, 267, 2333, 4745, 10688, 267, 543, 6175, 1761, 4220, 540, 7063, 899, 838, 11712, 631, 12710, 338, 269, 5457, 2141, 547, 5077, 609, 4648, 899, 2168, 16293, 952, 7680, 10770, 1928, 610, 9636, 267, 2523, 1310, 10913, 5473, 8813, 610, 5222, 269, 2060, 11428, 543, 11007, 267, 4166, 2614, 267, 596, 3513, 2972, 4824, 8516, 2157, 543, 2949, 8171, 256, 0, 2080, 568, 606, 1349, 689, 513, 2546, 912, 257, 10157, 299, 28864, 1923, 667, 749, 6229, 267, 17834, 8447, 10657, 454, 10157, 299, 28864, 538, 667, 749, 6229, 267, 17834, 269, 1403, 2576, 4249, 5026, 610, 22851, 538, 824, 2168, 2534, 267, 4743, 602, 6727, 968, 16647, 892, 538, 741, 12597, 5932, 513, 2603, 540, 4160, 281, 9894, 594, 3614, 675, 1250, 631, 12710, 286, 1772, 621, 1713, 286, 1215, 1279, 786, 621, 1491, 547, 9156, 286, 4024, 594, 723, 547, 18385, 2285, 909, 519, 1919, 594, 2648, 3257, 286, 2311, 16547, 525, 8447, 10657, 538, 667, 749, 6229, 267, 17834, 267, 782, 540, 938, 2168, 543, 17163, 16293, 616, 6131, 547, 3478, 938, 2550, 1394, 547, 519, 2238, 789, 2648, 1034, 269, 2755, 649, 666, 1406, 267, 649, 666, 948, 2327, 596, 1205, 1394, 547, 4743, 899, 3054, 609, 2922, 267, 2500, 5574, 269, 8447, 3797, 814, 1044, 3254, 942, 543 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1715, 589, 2513, 819, 281, 654, 9950, 11065, 269, 13660, 4425, 529, 543, 519, 4563, 4317, 20227, 2223, 676, 27722, 16910, 31151, 630, 4462, 542, 634, 1670, 12054, 2435, 543, 12052, 2160, 1040, 634, 17404, 779, 6609, 5205, 912, 763, 3109, 1514, 22258, 7153, 689, 519, 8194, 540, 25608, 547, 2307, 1018, 513, 968, 2908, 20552, 892, 1131, 2154, 538, 1977, 2486, 269, 898, 2968, 606, 1271, 2245, 540, 3909, 2219, 543, 4187, 267, 4543, 547, 1711, 606, 4244, 1857, 12106, 540, 16934, 9739, 543, 3246, 519, 7214, 24598, 25751, 540, 519, 3540, 2924, 3350, 269, 901, 2245, 814, 1044, 12517, 15763, 267, 5103, 922, 10373, 9371, 563, 1103, 713, 14262, 960, 267, 27722, 16910, 31151, 6257, 519, 2038, 1686, 540, 519, 3109, 1514, 22258, 689, 922, 13524, 10601, 15713, 547, 922, 2673, 7681, 538, 519, 14206, 2540, 609, 654, 269, 661, 269, 645, 269, 13660, 4425, 529, 269, 1261, 3091, 513, 1007, 5133, 593, 2413, 8567, 543, 519, 3540, 2924, 5736, 676, 30431, 908, 519, 2245, 540, 1514, 5126, 18381, 543, 17933, 602, 3366, 547, 9410, 13162, 3751, 12789, 563, 296, 729, 20938, 547, 4309, 7905, 3627, 31864, 974, 779, 1007, 4320, 267, 5950, 4505, 713, 1032, 267, 634, 5375, 8865, 585, 3933, 690, 18081, 3683, 12443, 326, 18081, 267, 538, 799, 267, 609, 693, 2547, 3368, 606, 3750, 15483, 539, 693, 519, 4947, 3656, 733, 3949, 936, 21657, 13904, 7365, 267, 3627, 7710, 519, 1739, 2055, 912, 1432, 568, 519, 5375, 2245, 779, 2013, 585, 1395, 690, 18081, 936, 21657, 18081, 267, 543, 568, 602, 2013, 1869, 20310, 538, 513, 2022, 21524, 1716, 543, 2518, 1242, 1158, 286, 3657, 972, 18481, 8903, 4128, 547, 6001, 5375, 4031, 1996, 21657, 18081, 267, 543, 568, 713, 513, 14909, 3609, 2016, 519, 2518, 3466, 2476, 689, 21657, 18081, 543, 2016, 519, 1514, 267, 2804, 267, 543, 5626, 2175, 602, 1419, 7390, 922, 2259, 286, 2107, 267, 616, 972, 18481, 8903, 4128, 267, 18949, 539, 538, 851, 689, 519, 2245, 267, 547, 2226, 543, 1256, 7794, 891, 4550, 1790, 8432, 326, 18081, 3800, 267, 538, 851, 607, 606, 4674, 547, 26558, 523, 519, 2518, 27757, 540, 713, 2259, 888, 296, 4076, 1152, 1185, 513, 4960, 547, 16145, 693, 519, 1433, 855, 689, 602, 2656, 11571, 267, 621, 5526, 602, 519, 3119, 1175, 5874, 4359, 538, 519, 1433, 607, 513, 3140, 2339, 585, 1395, 690, 18081, 936, 21657, 18081, 9305, 547, 968, 329, 2002, 15366, 5092, 538, 1453, 892, 543, 4180, 968, 7474, 2367, 543, 2021, 616, 5701, 609, 3160, 15683, 543, 2463, 1369, 519, 6469, 12106, 2223, 519, 8545, 7954, 540, 799, 267, 519, 1433, 6811, 267, 968, 1952, 15533, 547, 10085, 19631, 1482, 20967, 15185, 267, 945, 723, 6591, 2810, 2924, 538, 519, 4639, 538, 2487, 1296, 267, 1519, 519, 1318, 547, 19533, 543, 547, 2385, 538, 930, 4025, 3034, 763, 1433, 568, 30140, 543, 3638, 569, 2143, 543, 3102, 267, 609, 11271, 1519, 968, 5804, 12443, 326, 18081, 547, 3933, 690, 18081, 538, 17194, 2223, 968, 763, 8865, 585, 3933, 690, 18081, 3683, 12443, 326, 18081, 538, 519, 5783, 12429, 338, 2223, 968, 28139, 326, 18081, 538, 519, 16572, 540, 3557, 543, 5783, 538, 519, 3689, 7085, 3317, 1756, 2223, 968, 28139, 326, 13904, 31401, 538, 7216, 17557, 1143, 2223, 543, 968, 763, 27565, 21654, 8865, 18830, 12443, 326, 18081, 3034, 1103, 5412, 267, 10228, 2160, 4964, 786, 5305, 968, 1805, 768, 532, 27098, 281, 6554, 14780, 1749, 593, 16241, 18877, 892, 676, 26573, 589, 269, 19159, 630, 299, 600, 541, 2160, 264, 543, 19626, 808, 269, 6022, 1067, 630, 3519, 322, 867, 807, 2160, 1040, 634, 17404, 779, 6609, 5205, 912, 4407, 5640, 267, 2923, 267, 543, 519, 1857, 949, 581, 3222, 540, 513, 1906, 9058, 2229, 986, 1749, 593, 3909, 2950, 267, 971, 607, 519, 772, 2529, 269, 5313, 986, 573, 593, 519, 25032, 6424, 2103, 538, 476, 1960, 274, 267, 1360, 1906, 1004, 616, 3222, 540, 519, 9165, 543, 4908, 609, 799, 891, 986, 1749, 2049, 269, 11374, 519, 7147, 1533, 986, 573, 593, 519, 27284, 626, 5783, 540, 700, 2660, 6377, 29513, 538, 476, 1220, 279, 267, 4589, 26573, 19159, 543, 19626, 6022, 1067, 4956, 547, 1353, 891, 986, 1749, 538, 519, 14919, 1700, 337, 1430, 982, 607, 1367, 2665, 1700, 2421, 10655, 1239, 593, 986, 1749, 602, 723, 3144, 1747, 936, 519, 2063, 3670, 5756, 269, 1358, 1705, 713, 1312, 547, 3715, 585, 519, 1101, 942, 606, 21287, 540, 986, 3660, 2516, 267, 543, 547, 3313, 952, 1022, 3270, 1223, 581, 4857, 269, 4634, 789, 941, 14281, 693, 741, 4681, 282, 972, 941, 2484, 811, 986, 1749, 982, 4397, 267, 543, 519, 5318, 5354, 540, 873, 1185, 7018, 2094, 476, 1960, 271, 267, 10452, 513, 8325, 267, 3592, 12825, 2333, 269, 1548, 1223, 2272, 585, 713, 6727, 543, 10565, 2333, 538, 1533, 1852, 540, 12102, 10764, 888, 1103, 23566, 532, 27098, 267, 19159, 543, 6022, 1067, 8044, 602, 519, 2799, 946, 540, 891, 1164, 16151, 543, 3665, 2010, 540, 11268, 14687, 547, 9450, 3919, 543, 7341, 676, 17837, 540, 23349, 10764, 269, 14640, 2275, 738, 3906, 1683, 7580, 968, 325, 29707, 892, 602, 5581, 1761, 7526, 610, 2042, 538, 513, 2016, 2146, 607, 20244, 5906, 267, 543, 4020, 6386, 602, 2721, 593, 11475, 540, 1126, 543, 4638, 6057, 267, 2634, 31290, 267, 543, 1256, 2527, 11980, 269, 634, 6098, 1895, 568, 1500, 547, 2408, 811, 5906, 982, 621, 568, 267, 4611, 538, 606, 936, 516, 9146, 676, 8128, 269, 19159, 543, 6022, 1067, 2263, 519, 6286, 540, 15398, 1533, 1065, 1833, 543, 1852, 540, 12102, 10764, 538, 606, 5051, 18371, 267, 2518, 1242, 1158, 269, 2311, 513, 942, 540, 6385, 13346, 22097, 1369, 5375, 7239, 713, 1433, 1309, 1903, 1996, 1533, 1852, 540, 12790, 2516, 543, 3091, 5813, 827, 1946, 519, 6114, 547, 891, 2516, 568, 1419, 865, 5114, 776, 563, 1103, 5181, 267, 30296, 5950, 968, 13750, 543, 13780, 5174, 5648, 538, 9031, 281, 15332, 5771, 543, 8232, 892, 12995, 676, 23011, 667, 269, 7043, 630, 292, 6141, 12309, 2160, 1070, 717, 584, 9618, 25659, 19453, 630, 17206, 540, 5507, 1070, 962, 684, 553, 6341, 611, 630, 17206, 540, 17659, 5112, 267, 5177, 1070, 543, 27950, 13669, 15318, 630, 17206, 540, 3162, 600, 17980, 267, 5177, 1040, 634, 17404, 779, 6609, 5205, 912, 9824, 580, 542, 267, 5208, 267, 543, 14940, 616, 782, 23091, 538, 519, 1686, 540, 9031, 269, 634, 1303, 3402, 618, 540, 15354, 4690, 267, 10512, 1242, 998, 5208, 267, 6803, 3961, 267, 543, 1379, 998, 20422, 20816, 814, 2813, 513, 1062, 540, 2048, 10461, 9107, 7817, 16117, 10200, 901, 1433, 3091, 13354, 267, 8978, 626, 267, 543, 23499, 5784, 593, 519, 1909, 540, 3961, 6214, 538, 519, 1646, 540, 9031, 563, 289, 2590, 532, 1927, 5380, 593, 519, 6384, 540, 1533, 20671, 267, 519, 1433, 2488, 4030, 883, 4207, 3157, 540, 3084, 16311, 566, 799, 616, 2629, 569, 4299, 676, 741, 2126, 538, 519, 1158, 2923, 267, 543, 676, 519, 6547, 789, 29360, 1369, 606, 5051, 2518, 2213, 1135, 640, 269, 898, 27180, 519, 6043, 540, 15354, 31794, 547, 2797, 543, 1514, 1689, 267, 543, 267, 538, 519, 1296, 1310, 15652, 267, 5654, 693, 519, 1764, 593, 2244, 3180, 902, 540, 2551, 4483, 269, 898, 4422, 593, 547, 1865, 3909, 9163, 543, 741, 1909, 538, 1312, 519, 4070, 540, 3084, 3961, 543, 538, 519, 1646, 540, 3392, 31791, 269, 634, 1433, 8711, 875, 14940, 543, 3961, 6214, 616, 606, 11972, 15262, 538, 9031, 328, 6214, 267, 543, 1946, 789, 616, 5051, 3532, 543, 9565, 563, 2304, 16367, 4015, 593, 513, 2039, 540, 5380, 593, 519, 6384, 540, 3961, 6214, 543, 519, 4182, 15581, 267, 713, 1433, 593, 9031, 786, 581, 513, 3730, 9295, 547, 3162, 7489, 15348, 267, 3162, 7489, 3778, 267, 543, 9099, 5525, 269 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 538, 6989, 3966, 4827, 6941, 519, 834, 572, 520, 540, 519, 27890, 257, 6454, 538, 20765, 602, 649, 5433, 1310, 16459, 1016, 18134, 28339, 269, 3776, 855, 1206, 941, 12777, 811, 16119, 4448, 547, 519, 669, 817, 529, 540, 519, 1286, 267, 1818, 519, 1286, 1745, 13888, 518, 543, 17212, 1324, 519, 2566, 593, 519, 6989, 3966, 269, 2561, 30068, 267, 519, 2338, 8815, 609, 938, 834, 8117, 339, 30552, 334, 30882, 4415, 519, 1286, 1394, 593, 519, 2666, 267, 649, 2268, 519, 3845, 1063, 1079, 2798, 593, 519, 10160, 646, 454, 2414, 18082, 519, 10160, 4410, 781, 4452, 593, 519, 6989, 3966, 2483, 1862, 933, 2990, 513, 6989, 13544, 896, 519, 9920, 781, 2451, 3146, 541, 10160, 2173, 870, 30021, 269, 0, 4407, 17842, 9367, 616, 3006, 2656, 547, 28994, 756, 531, 1125, 2025, 5656, 547, 1118, 1259, 585, 21743, 1007, 7873, 657, 267, 1689, 568, 1419, 811, 12620, 6053, 533, 3166, 267, 607, 835, 666, 1294, 689, 519, 2592, 593, 519, 6821, 540, 519, 17842, 19964, 607, 851, 540, 922, 968, 16908, 593, 519, 25373, 892, 8858, 269, 1975, 13899, 676, 513, 2487, 11601, 540, 6337, 676, 594, 9366, 534, 918, 582, 6160, 5652, 267, 2895, 22999, 270, 31688, 19212, 18536, 595, 17026, 1231, 2036, 539, 998, 519, 21517, 685, 588, 2931, 547, 1711, 606, 8858, 6029, 17842, 8265, 10344, 779, 2540, 6040, 5072, 269, 1452, 6337, 1397, 519, 4720, 540, 519, 7944, 540, 962, 21789, 543, 10348, 563, 272, 269, 2296, 19366, 674, 15030, 269, 631, 1157, 548, 628, 11445, 924, 630, 7277, 280, 1700, 4572, 276, 264, 2879, 11474, 713, 17576, 269, 6736, 1210, 606, 818, 706, 748, 1804, 268, 8971, 8254, 609, 4439, 5652, 4837, 13807, 622, 2258, 2510, 267, 646, 10660, 1229, 519, 1523, 540, 8265, 10344, 5176, 1614, 5756, 1354, 621, 729, 31002, 607, 971, 563, 273, 269, 968, 1607, 568, 519, 4098, 540, 5201, 1934, 2223, 3081, 519, 1397, 779, 1225, 1807, 267, 18536, 595, 17026, 1231, 563, 274, 269, 4634, 538, 519, 476, 5197, 271, 338, 267, 519, 10348, 543, 962, 21789, 10167, 729, 524, 913, 1540, 5010, 2666, 269, 634, 22070, 7944, 24428, 17722, 11918, 625, 517, 779, 7802, 4558, 2394, 513, 3595, 538, 476, 6245, 276, 269, 30227, 16202, 517, 2879, 520, 3481, 909, 513, 3625, 540, 5656, 593, 962, 21789, 9335, 267, 3001, 1010, 6300, 1934, 676, 519, 4571, 268, 6642, 271, 338, 563, 275, 269, 634, 17842, 9335, 24020, 267, 513, 4990, 540, 7504, 1673, 22148, 840, 3613, 22901, 8364, 3028, 267, 9250, 593, 962, 21789, 9335, 538, 476, 6642, 276, 269, 968, 10144, 1175, 6410, 827, 11884, 9789, 516, 729, 1100, 1931, 593, 519, 10754, 267, 2731, 3034, 276, 269, 1635, 713, 1448, 267, 31167, 2023, 779, 4829, 1796, 693, 476, 6642, 962, 21789, 853, 269, 1185, 4957, 3946, 543, 14440, 24237, 717, 712, 26792, 267, 15604, 267, 543, 2274, 25977, 1185, 6410, 538, 563, 277, 269, 21238, 808, 269, 21942, 630, 6642, 277, 1700, 4198, 276, 264, 729, 12912, 519, 570, 12839, 779, 1101, 4013, 23031, 538, 476, 4572, 273, 269, 4014, 1010, 15752, 941, 547, 3561, 519, 27503, 18302, 1062, 267, 646, 538, 30541, 1836, 9676, 519, 1295, 583, 23706, 540, 8265, 1272, 538, 17842, 563, 278, 269, 623, 8491, 9897, 267, 606, 2333, 538, 10081, 6808, 267, 543, 519, 9642, 7504, 1673, 22148, 6174, 6825, 519, 14297, 2749, 1272, 693, 519, 4098, 540, 519, 4279, 12870, 563, 279, 269, 634, 1101, 26741, 10290, 779, 3099, 4558, 538, 4516, 3576, 936, 11918, 625, 517, 779, 2679, 538, 476, 4489, 273, 267, 1175, 5045, 540, 519, 7444, 9750, 16202, 517, 779, 1950, 563, 280, 269, 5295, 12904, 585, 519, 1631, 268, 2412, 4458, 6040, 3167, 8265, 8364, 1062, 1835, 1170, 29589, 539, 1657, 519, 10167, 563, 1015, 269, 2052, 13824, 740, 4291, 661, 10611, 269, 6519, 630, 6245, 280, 1700, 3192, 279, 264, 8929, 713, 6429, 540, 519, 962, 21789, 9335, 26864, 267, 513, 1857, 1606, 10628, 4603, 602, 4718, 519, 8265, 8118, 909, 547, 19516, 20379, 543, 4830, 21527, 585, 513, 1906, 4374, 538, 519, 28782, 1063, 476, 3192, 272, 543, 476, 3192, 276, 563, 1556, 269, 589, 555, 1941, 538, 16202, 517, 779, 2427, 267, 31167, 2023, 779, 2679, 30147, 7283, 6870, 676, 513, 16083, 602, 621, 2760, 581, 4421, 547, 519, 16202, 517, 1920, 1765, 327, 748, 539, 513, 1234, 527, 2006, 779, 855, 17477, 519, 3312, 6189, 689, 519, 476, 5197, 271, 338, 563, 1321, 269, 12866, 1296, 1310, 713, 8666, 729, 3144, 267, 538, 476, 3192, 278, 267, 519, 1101, 3942, 540, 519, 17842, 16202, 517, 10418, 8118, 269, 5565, 1296, 2663, 519, 14230, 540, 519, 16202, 517, 779, 1950, 729, 14324, 1524, 547, 1118, 1259, 585, 519, 7013, 3368, 540, 519, 7372, 10918, 8998, 563, 1724, 269, 17183, 18302, 1185, 6410, 11895, 538, 476, 4198, 275, 267, 2059, 609, 519, 8652, 3515, 563, 1691, 269, 634, 10381, 3766, 337, 831, 16538, 4478, 26741, 10290, 779, 1131, 5555, 581, 17468, 547, 922, 2490, 6361, 7308, 10601, 1413, 538, 519, 476, 1960, 271, 338, 563, 1428, 269, 634, 15588, 7615, 24804, 2679, 693, 476, 273, 10348, 853, 269, 661, 1421, 799, 729, 3710, 538, 476, 1220, 274, 267, 25601, 519, 11599, 7813, 540, 27292, 3655, 9809, 1228, 689, 476, 4489, 271, 563, 2108, 16908, 593, 519, 25373, 281, 476, 1911, 13012, 540, 9335, 22878, 538, 17842, 892, 8255, 547, 2904, 476, 1001, 275, 693, 519, 4975, 540, 17842, 19964, 267, 476, 14838, 1975, 611, 2088, 681, 323, 1421, 476, 275, 1626, 268, 4375, 278, 268, 5881, 278, 279, 267, 8731, 15193, 28022, 270, 1105, 1161, 269, 0, 1432, 2052, 1411, 1684, 2060, 589, 11683, 769, 9119, 888, 12385, 24136, 568, 513, 10409, 2534, 609, 513, 2312, 543, 5730, 2792, 540, 2495, 267, 538, 799, 621, 2141, 814, 513, 22979, 540, 519, 6169, 269, 9119, 2488, 513, 2647, 3099, 540, 1983, 267, 2059, 609, 4282, 543, 3069, 540, 2259, 602, 949, 581, 1031, 547, 11654, 10927, 960, 267, 1382, 267, 3450, 538, 6281, 3506, 267, 543, 1585, 2010, 540, 6080, 563, 12385, 24136, 630, 289, 6993, 269, 23422, 264, 12385, 24136, 630, 289, 2529, 269, 23422, 264, 12385, 24136, 2598, 4740, 5811, 630, 289, 2529, 269, 23422, 264, 32417, 630, 289, 6993, 269, 23422, 264, 32417, 630, 289, 2529, 269, 23422, 994, 263, 2414, 1382, 891, 10643, 543, 811, 979, 547, 281, 630, 30999, 1575, 1049, 31326, 18361, 264, 543, 1294, 519, 1644, 1820, 2200, 538, 519, 19396, 7896, 7732, 1916, 6097, 547, 519, 454, 13233, 5948, 540, 30793, 2471, 543, 14146, 619, 630, 2793, 4753, 264, 14400, 476, 1001, 272, 6428, 776, 454, 20776, 3272, 267, 4098, 23269, 585, 20021, 609, 513, 25328, 540, 8551, 610, 513, 25328, 454, 1993, 3163, 4110, 538, 9119, 1376, 693, 827, 1269, 7871, 267, 280, 1691, 563, 2690, 811, 1344, 593, 23269, 4945, 1934, 454, 10112, 1539, 725, 616, 1271, 547, 2263, 1317, 1082, 2709, 2875, 2818, 4721, 454, 663, 666, 2285, 596, 1569, 547, 824, 4648, 543, 741, 2833, 267, 1382, 2676, 935, 3685, 610, 13186, 3255, 267, 3318, 1646, 543, 1034, 454, 5814, 14688, 2816, 12240, 6993, 8434, 9119, 5980, 4139, 454, 8002, 340, 25106, 5948, 19556, 5948, 540, 3013, 2817, 7027, 540, 11334, 540, 9119, 306, 1539, 1214, 585, 11633, 1299, 11930, 9119, 454, 528, 13096, 629, 1162, 5291, 2517, 4178, 269, 716, 340, 25106, 719, 14006, 2593, 270, 10674, 2517, 4178, 269, 716, 4231, 2593, 270, 10674, 2517, 3249, 619, 6983, 553, 716, 3820, 10774, 727, 27651, 6983, 325, 332, 286, 338, 924, 16182, 284, 28434, 280, 10674, 2517, 4178, 8807, 514, 2574, 329, 984, 23810, 2593, 270, 10674, 2517, 4178, 19544, 580, 22363, 329, 10849, 2593, 270, 10674, 2517, 4178, 12459, 10849, 842, 1335, 2292, 2593, 270, 10674, 2517, 4178, 269, 4118, 18191, 10849, 2593, 270, 19651, 21703, 286, 338, 924, 284, 4118, 261, 322, 660, 284, 639, 261, 333, 284, 1911, 1822, 10674, 2517, 4178, 269, 4118, 5035, 1881, 338, 3820, 11305, 270, 14142, 6983, 325, 332, 286, 338, 924, 16182, 284, 4572, 276, 10674, 2517, 4178, 269, 4118, 329, 10849, 3820, 10768, 10849, 286, 329, 984, 4289, 955, 268, 2412, 10674, 2517, 4178, 269, 810, 320, 3820, 270, 3249, 619, 270, 1633, 532, 269, 5684, 343, 454, 26222, 15789, 910, 9457, 454, 1993, 3163, 538, 9119, 543, 824, 1644, 3292, 17206, 540, 3345, 454, 293, 3271, 5866, 293, 3271, 5866, 9533, 2160, 293, 3271, 5866, 4139, 2160, 293, 3271, 5866, 3557, 2160, 17206, 540, 6239, 454, 293, 3271, 5866, 17206, 540, 8419, 17206, 540, 24543, 17206, 540, 3162, 8419, 17206, 540, 4639, 8419, 454, 13233, 15789, 1107, 9457, 540, 3163, 538, 9119, 543, 824, 1644, 3292, 17206, 540, 17665, 17206, 540, 11908, 454, 8448, 2200, 585, 10927, 1982, 1382, 10674, 2517, 4178, 3052, 571, 1091, 1041, 338, 2593, 270, 5291, 2517, 4178, 4877, 4394, 976, 2593, 270, 5291, 2517, 4178, 269, 1440, 4532, 17662, 516, 1613, 2593, 13045, 29791, 1677, 6167, 293, 5358, 454, 15648, 9736, 476, 1001, 273, 2160, 540, 3345, 8419, 272, 6167, 293, 20000, 1923, 12722, 6807, 267, 18919, 476, 27088, 2190, 1923, 25439, 281, 630, 3445, 275, 264, 476, 30663, 268, 1911, 271, 454, 23086, 1923, 17073, 1923, 21041, 1923, 22769, 11514, 1464, 6452, 7951, 725, 0, 268, 8682, 1790, 3326, 3215, 2428, 3529, 454, 268, 5900, 847, 633, 543, 1164, 1532, 3757, 4221, 454, 268, 21277, 806, 1804, 267, 6960, 267, 6653, 10808, 454, 268, 8682, 1922, 1068, 850, 282, 2030, 1079, 4054, 585, 1655, 2164, 454, 268, 700, 17999, 2428, 540, 782, 554, 1157, 1559, 454, 268, 717, 4900, 476, 2568, 262, 547, 476, 3199, 3299, 476, 2412, 262, 3262, 454, 268, 2098, 2158, 476, 276, 547, 476, 279, 454, 268, 2052, 1405, 6928, 547, 281, 31650, 267, 589, 313, 267, 11404, 267, 31254, 267, 28679, 267, 29255, 454, 313, 2158, 476, 276, 910, 476, 279, 454, 763, 26425, 321, 1046, 670, 1157, 800, 666, 581, 4397, 547, 1332, 538, 519, 10851, 3254, 538, 2681, 538, 519, 818, 321, 867, 599, 3820, 7997, 4786, 269, 26177, 30684, 454, 763, 26425, 321, 1046, 670, 1157, 800, 8813, 883, 519, 1739, 1826, 4433, 2567, 25326, 19029, 454, 2568, 262, 910, 476, 3199, 262, 4400, 454, 763, 26425, 321, 1046, 670, 1157, 800, 9428, 547, 581, 476, 2568, 262, 910, 476, 3199, 262, 3952, 538, 4463, 563, 763, 26425, 321, 1046, 670, 1157, 800, 814, 513, 3262, 540, 827, 476, 2412, 262, 693, 2407, 15657, 563, 1607, 3529, 9428, 693, 513, 3500, 2208, 2557, 269, 1496, 5415, 827, 713, 24358, 1607, 554, 1157, 800, 1281, 1134, 538, 2407, 3141, 563, 763, 26425, 321, 1046, 670, 1157, 800, 9428, 538, 15755, 267, 22279, 267, 10980, 27031, 267, 3138, 18081, 267, 5848, 267, 3638, 267, 22501, 267, 6632, 267, 10036, 11934, 563, 1607, 554, 1157, 800, 814, 24814, 267, 17031, 3337, 563, 288, 5065, 540, 5848, 5377, 4133, 543, 6360, 680, 1622, 540, 519, 2136, 2276, 267, 519, 26425, 321, 1046, 670, 1157, 800, 781, 3574, 568, 2182, 543, 2178, 267, 543, 922, 2428, 568, 17028, 7458, 585, 922, 29284, 269, 589, 9157, 543, 19756, 3529, 267, 621, 814, 513, 1272, 12732, 540, 476, 3199, 610, 811, 1296, 269, 19029, 6738, 689, 6079, 786, 7703, 1804, 6960, 6653, 10808, 538, 476, 1015, 268, 1321, 1296, 269, 634, 1804, 2428, 568, 513, 7320, 5172, 563, 763, 3762, 540, 519, 26425, 321, 1046, 670, 1157, 800, 616, 13881, 676, 13650, 543, 824, 26292, 1247, 519, 10808, 616, 10057, 676, 13650, 267, 7703, 267, 29372, 267, 17544, 267, 25277, 267, 13863, 332, 16218, 267, 3552, 21429, 267, 543, 824, 2831, 269, 21277, 806, 22060, 543, 5924, 14947, 267, 3976, 3246, 6484, 585, 10987, 538, 2038, 547, 3735, 5614, 563, 303, 4883, 2299, 7623, 267, 476, 276, 268, 280, 6978, 7410, 267, 476, 1015, 27324, 2190, 257, 1279, 267, 4158, 5835, 25984, 593, 1283, 563, 29209, 267, 24814, 267, 476, 272, 270, 275, 257, 5394, 8152, 330, 6227, 513, 2182, 267, 1769, 6960, 7387, 267, 476, 272, 476, 274, 270, 275, 27324, 273, 476, 272, 270, 273, 257, 609, 476, 275, 268, 277, 834, 1026, 338, 1701, 634, 1804, 17830, 568, 6653, 269, 28610, 538, 2887, 563, 2304, 10694, 267, 1164, 1532, 3757, 4221, 3529, 269, 700, 10105, 5848, 3037, 269, 717, 4900, 476, 2568, 262, 547, 476, 3199, 3299, 476, 2412, 262, 3262, 269, 4279, 7320, 1426, 2707, 609, 519, 10808, 1373, 10057, 676, 13650, 267, 7703, 267 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 276, 17622, 896, 519, 8303, 15716, 267, 649, 616, 1869, 2469, 547, 1294, 2362, 5210, 269, 1717, 267, 789, 786, 711, 581, 607, 1164, 607, 538, 519, 10782, 2013, 7653, 267, 1141, 649, 10093, 1405, 7307, 547, 20818, 513, 3970, 269, 1656, 713, 1797, 711, 1152, 513, 7833, 8337, 538, 2230, 543, 942, 855, 849, 3665, 9259, 899, 1346, 649, 723, 2907, 14754, 269, 6270, 3697, 9259, 786, 581, 7133, 27597, 607, 1134, 267, 543, 519, 3510, 786, 22009, 609, 519, 3395, 8511, 3154, 5434, 269, 5272, 20870, 4110, 538, 519, 2518, 3328, 18922, 883, 28555, 3002, 30335, 543, 27597, 786, 581, 538, 585, 811, 7920, 267, 811, 7928, 543, 811, 10770, 3002, 30335, 269, 1452, 786, 849, 2014, 23967, 4352, 711, 899, 1346, 7133, 519, 11335, 2477, 267, 10255, 267, 7013, 5333, 610, 17577, 4799, 763, 7194, 540, 519, 14368, 1670, 25887, 1063, 476, 1001, 278, 543, 476, 1708, 273, 538, 27597, 5031, 519, 8515, 267, 4908, 543, 9962, 1858, 4988, 676, 519, 5906, 9259, 609, 606, 1764, 936, 519, 1514, 20300, 2534, 269, 769, 476, 1708, 273, 4805, 267, 476, 9873, 4365, 25887, 941, 9783, 267, 856, 540, 799, 2947, 941, 8943, 4414, 269, 681, 5699, 1614, 8536, 3767, 26511, 25887, 941, 9783, 856, 540, 799, 476, 4817, 8943, 4414, 269, 2311, 519, 1482, 942, 267, 519, 476, 1708, 272, 268, 1708, 273, 10980, 729, 513, 3476, 835, 267, 799, 14556, 1881, 689, 835, 3923, 547, 519, 824, 543, 5555, 4299, 3592, 782, 519, 2197, 781, 6694, 4525, 563, 15648, 9736, 1547, 2353, 2924, 11603, 0, 290, 809, 476, 272, 11013, 17436, 267, 4988, 267, 538, 513, 1507, 2179, 540, 14495, 2892, 1540, 1216, 2394, 26546, 2389, 2658, 269, 3371, 779, 875, 1279, 547, 3434, 17436, 593, 519, 23041, 1283, 4470, 593, 875, 789, 2461, 2759, 281, 476, 278, 547, 476, 280, 3764, 585, 476, 26528, 20878, 21100, 269, 476, 275, 547, 476, 277, 3764, 585, 17446, 563, 1692, 798, 596, 917, 950, 17436, 616, 23017, 888, 293, 650, 513, 1494, 609, 1175, 2614, 1216, 547, 3382, 519, 31577, 543, 3142, 621, 547, 513, 14974, 269, 5410, 519, 17436, 547, 519, 14495, 1216, 543, 3382, 519, 1494, 609, 513, 19984, 269, 2991, 476, 276, 3764, 267, 2638, 519, 17436, 676, 23578, 835, 540, 873, 609, 513, 23643, 269, 1403, 519, 512, 1149, 13472, 3362, 883, 519, 31577, 267, 1287, 789, 2461, 8737, 14495, 563, 7617, 3217, 3476, 547, 14974, 17436, 610, 12277, 888, 23777, 1227, 12277, 1491, 3476, 547, 3434, 982, 17436, 269, 1677, 1118, 2386, 519, 5388, 616, 8737, 693, 519, 1482, 942, 267, 2759, 519, 12277, 4130, 547, 3432, 741, 887, 8463, 2059, 563, 1692, 798, 596, 21352, 17436, 888, 7922, 534, 4221, 267, 610, 13148, 14495, 513, 10448, 585, 513, 1906, 3764, 538, 5667, 531, 1540, 1216, 267, 2571, 839, 17436, 1175, 2614, 547, 2196, 513, 17180, 998, 873, 267, 855, 3085, 1406, 3002, 519, 7740, 267, 865, 621, 3085, 1406, 7369, 741, 8137, 269, 20780, 513, 1494, 540, 1216, 547, 513, 12902, 14974, 269, 681, 20600, 519, 17436, 896, 3579, 4881, 1216, 543, 15237, 519, 25568, 1055, 267, 952, 1459, 563, 1692, 1279, 798, 17436, 1491, 547, 21352, 538, 17339, 888, 12671, 476, 1015, 3764, 306, 675, 256, 3212, 601, 519, 2961, 12783, 269, 9255, 538, 513, 1804, 14495, 6006, 1494, 540, 1216, 609, 2614, 1216, 547, 3382, 269, 4425, 559, 585, 827, 476, 1015, 3764, 2394, 4625, 23643, 13035, 563, 4692, 596, 22848, 809, 17436, 888, 2691, 5265, 11273, 267, 17436, 1058, 2611, 6505, 10538, 267, 1498, 741, 2681, 666, 28201, 10169, 950, 22848, 10541, 269, 3683, 322, 8504, 666, 849, 2014, 8770, 2530, 563, 3674, 621, 1434, 547, 14974, 17436, 888, 288, 281, 8786, 267, 11273, 17436, 616, 811, 14312, 267, 855, 596, 1869, 1205, 7899, 540, 5567, 689, 6151, 17436, 269, 18181, 267, 2523, 12675, 14495, 267, 1281, 2569, 519, 6171, 1543, 540, 5388, 269, 2560, 1717, 267, 585, 1034, 5388, 267, 2523, 1346, 3638, 538, 6171, 595, 267, 621, 779, 1655, 547, 1832, 8022, 547, 513, 5934, 563, 1692, 1279, 798, 17436, 543, 22282, 1491, 547, 14974, 888, 22517, 4979, 7935, 19233, 543, 2961, 12783, 454, 29493, 22282, 883, 476, 272, 20878, 1166, 648, 1206, 543, 20105, 17436, 883, 476, 272, 270, 279, 268, 547, 476, 272, 270, 275, 20878, 21100, 547, 14974, 519, 1079, 1927, 282, 3434, 585, 476, 276, 3764, 610, 2394, 5388, 616, 23643, 13035, 267, 28817, 12212, 563, 7617, 5388, 3434, 519, 16595, 888, 29662, 19233, 267, 28471, 31884, 267, 17436, 267, 3039, 10365, 267, 607, 32651, 267, 1148, 747, 10280, 267, 12277, 267, 1990, 1075, 577, 7236, 267, 536, 758, 669, 1195, 267, 543, 1082, 824, 5266, 19756, 5388, 9252, 1134, 269, 1948, 8967, 3019, 31738, 281, 1280, 14580, 3058, 543, 2848, 5446, 267, 596, 666, 3432, 909, 519, 1216, 14495, 1184, 676, 1210, 513, 1216, 15245, 610, 538, 513, 4837, 12877, 516, 343, 538, 519, 17196, 563, 1432, 3536, 1376, 1055, 538, 14495, 1216, 888, 2080, 779, 513, 26478, 685, 1325, 2006, 659, 5728, 865, 596, 3580, 2141, 3314, 281, 29641, 602, 1332, 1657, 2666, 630, 28369, 267, 17112, 267, 8970, 264, 1107, 1039, 547, 14495, 1216, 269, 29641, 602, 1332, 2630, 2666, 630, 10174, 5388, 267, 12277, 264, 1107, 1376, 1055, 538, 4411, 1216, 563, 1692, 1279, 1281, 621, 1491, 547, 21352, 17436, 538, 14495, 1216, 888, 9359, 513, 14036, 3966, 540, 1216, 547, 14974, 269, 3212, 601, 543, 20105, 519, 17436, 883, 476, 272, 270, 275, 20878, 21100, 593, 519, 9186, 630, 10972, 6782, 958, 1040, 4495, 519, 1216, 568, 14495, 267, 1039, 519, 17436, 543, 14974, 585, 476, 275, 547, 476, 276, 3764, 2394, 1175, 26546, 13035, 630, 14075, 518, 952, 596, 4782, 873, 547, 581, 811, 13035, 1916, 4692, 594, 21352, 17436, 538, 519, 17196, 888, 20278, 17436, 543, 1216, 538, 513, 476, 272, 268, 272, 270, 273, 268, 336, 339, 269, 17196, 1606, 12522, 8670, 269, 15147, 543, 17196, 593, 1164, 585, 476, 274, 268, 276, 3764, 610, 2394, 26546, 2389, 2658, 563, 3674, 621, 5488, 547, 14974, 610, 9252, 17436, 888, 23744, 6340, 267, 950, 5986, 5388, 267, 2848, 5446, 568, 30074, 547, 14495, 269, 6008, 3139, 5388, 2611, 5094, 689, 519, 3905, 1216, 267, 3850, 873, 547, 11677, 811, 5567, 563, 1692, 1279, 1281, 621, 1491, 547, 14974, 17436, 538, 17339, 888, 1103, 513, 14036, 3966, 267, 3142, 26185, 547, 513, 14974, 269, 5410, 519, 6967, 5820, 282, 2132, 547, 513, 14974, 269, 21079, 3002, 282, 15147, 543, 31652, 585, 476, 276, 268, 278, 3764, 610, 2394, 17436, 616, 13035, 563, 1692, 1279, 1281, 621, 1491, 585, 17436, 547, 21352, 888, 1103, 513, 1804, 1094, 1393, 3443, 610, 2620, 1236, 32576, 609, 513, 9395, 1922, 9231, 19984, 267, 1747, 519, 17436, 267, 1216, 267, 6070, 267, 543, 14723, 269, 20780, 519, 1216, 547, 513, 14974, 267, 1287, 3382, 519, 3443, 543, 2569, 519, 3002, 547, 5420, 1970, 269, 13648, 585, 476, 278, 547, 476, 279, 3764, 267, 2394, 519, 17436, 1175, 3914, 23643, 13035, 630, 18484, 1406, 1577, 873, 2490, 1660, 1506, 1916, 2710, 596, 3434, 17436, 1354, 8380, 538, 17339, 888, 9359, 676, 1094, 583, 2946, 532, 19637, 267, 13342, 267, 6148, 13767, 2044, 267, 1287, 4946, 519, 1216, 543, 10365, 267, 543, 31652, 532, 269, 5410, 519, 17436, 538, 519, 2063, 3368, 5662, 610, 865, 610, 950, 519, 10365, 616, 2673, 547, 13035, 269, 2334, 1259, 519, 17436, 786, 2097, 856, 11273, 855, 711, 1660, 1506, 269, 0, 16032, 11061, 918, 1080, 585, 8866, 630, 1721, 5272, 6520, 26695, 16631, 269, 11061, 269, 1452, 616, 519, 2679, 7161, 602, 948, 721, 2626, 2055, 827, 519, 1158, 1472, 721, 269, 1403, 707, 1126, 568, 6998, 267, 968, 3963, 1281, 513, 18962, 1011, 1712, 610, 968, 1692, 798, 3762, 1689, 2681, 9495, 1287, 596, 723, 513, 10196, 538, 519, 1818, 563, 8923, 948, 707, 1126, 2626, 891, 2055, 676, 10962, 873, 547, 519, 1158, 540, 7998, 563, 763, 1655, 1259, 547, 798, 602, 568, 676, 1210, 7998, 5036, 256, 11061, 5036, 616, 513, 8748, 1259, 547, 2263, 543, 1451, 1510, 621, 1373, 968, 321, 1681, 3034, 2252, 596, 8910, 899, 547, 1224, 519, 23138, 779, 3391, 827, 7998, 5036, 267, 602, 779, 1524, 2630, 563, 12749, 476, 279, 11061, 5036, 585, 8866, 454, 2171, 723, 1336, 1018, 649, 2015, 519, 1655, 5216, 7998, 5036, 585, 707, 10026, 543, 1647, 1153, 27070, 1453, 609, 513, 2898, 2039, 540, 7998, 5036, 563, 2252, 596, 8910, 899, 547, 4685, 4514, 609, 707, 3214, 609, 7998, 267, 649, 1336, 513, 1390, 4199, 585, 3450, 7998, 547, 3214, 936, 693, 267, 6314, 275, 330, 1749, 563, 27288, 3163, 1107, 4530, 570, 4209, 11061, 6997, 454, 18439, 2257, 519, 1259, 621, 568, 5497, 1107, 3946, 6823, 269, 2060, 519, 8187, 3163, 11061, 2978, 267, 707, 10026, 2875, 786, 2263, 13241, 538, 513, 1187, 543, 2189, 2081, 563, 4415, 936, 476, 2004, 6901, 3695, 782, 5686, 540, 2067, 9259, 267, 707, 1126, 786, 723, 1187, 585, 2395, 269, 8073, 513, 8511, 610, 1374, 513, 23419, 17689, 269, 1703, 568, 1945, 585, 1169, 1126, 563, 1607, 1305, 729, 2966, 676, 1483, 3744, 945, 917, 875, 547, 1491, 1950, 2035, 543, 2736, 873, 1524, 269, 1411, 4465, 1406, 723, 1022, 811, 19309, 24925, 2395, 609, 713, 7998, 1305, 1472, 563, 13425, 8244, 540, 519, 4530, 570, 4209, 11061, 6997, 593, 8835, 1934, 563, 3963, 1284, 11146, 898, 912, 268, 24956, 545, 2257, 6901, 454, 268, 14168, 547, 1224, 5528, 454, 268, 3683, 476, 2004, 1187, 6901, 454, 268, 17949, 762, 2257, 585, 6502, 476, 279, 268, 1321, 454, 312, 21822, 8582, 590, 4596, 14154, 7690, 11061, 5590, 454, 4504, 28558, 519, 1762, 8004, 538, 707, 1272, 547, 519, 13300, 540, 2257, 269, 634, 962, 21822, 8582, 590, 4596, 14154, 11061, 14173, 2982, 602, 6690, 666, 581, 3744, 267, 1932, 269, 2060, 2502, 543, 3860, 6901, 267, 596, 4465, 1406, 1205, 19252, 563, 1607, 6539, 568, 519, 3501, 3391, 547, 3695, 3114, 6547, 267, 7636, 5163, 267, 2837, 267, 543, 865, 1454, 269, 2060, 1164, 7779, 7727, 543, 513, 1483, 2978, 21641, 267, 596, 786, 1831, 513, 2407, 1922, 1194, 3022, 10196, 538, 1100, 942, 563, 763, 2978, 21641, 3947, 596, 519, 4316, 547, 9192, 707, 6612, 585, 1148, 609, 519, 2502, 1158, 540, 2257, 269, 15012, 7366, 540, 824, 6690, 607, 789, 1332, 607, 3744, 563, 8450, 519, 1699, 3902, 593, 8835, 1934, 563, 3963, 1284, 11146, 898, 912, 268, 654, 517, 519, 14268, 685, 14893, 589, 2264, 6730, 519, 7454, 12409, 13815, 23625, 454, 268, 3683, 476, 866, 10477, 6901, 609, 519, 2702, 547, 1256, 1711, 741, 1378, 454, 268, 12706, 338, 707, 20766, 6015, 454, 268, 17828, 585, 6690, 476, 279, 268, 1321, 454, 298, 629, 7112, 4112, 657, 633, 3163, 6997, 14173, 454, 30706, 4941, 547, 1294, 513, 18962, 1011, 1712, 286, 9320, 9496, 1055, 513, 15177, 883, 2230, 286, 2060, 519, 918, 5723, 302, 6865, 6997, 14173, 267, 596, 666, 798, 1175, 602, 269, 2060, 936, 476, 1839, 1011, 5317, 6901, 267, 596, 786, 2760, 581, 19252, 563, 1607, 2978, 6539, 568, 513, 1187, 543, 2922, 1259, 547, 1205, 782, 602, 20008, 5346, 1648, 856, 269, 10361, 3544, 593, 513, 8799, 1554, 543, 1628, 513, 15177, 610, 513, 3595, 16513, 17891, 269, 2353, 891, 6901, 786, 4001, 596, 827, 3114, 6547, 543, 14759, 538, 519, 1034, 1187, 1259, 563, 16631, 3085, 1406, 723, 547, 581, 19309, 609, 713, 6539, 1472, 269, 9578, 267, 3237, 2648, 602, 713, 6539, 6941, 519, 1946, 3297, 1142, 4603, 269, 901, 568, 811, 982, 1175, 513, 11442, 282, 621, 779, 606, 2069, 563, 13425, 8244, 540, 519, 28763, 7112, 6997, 14173, 593, 8835, 1934, 563, 3963, 1284, 11146, 898, 912, 268, 589, 2706, 2143, 2978, 3391, 454, 268, 4400, 7779, 6901, 543, 2326, 454, 268, 2422, 621, 693, 1753, 610, 1153, 454, 268, 30318, 585, 1453, 6502, 476, 279, 543, 4587, 454, 19185, 585, 1187, 2257, 2238, 585, 3214, 286, 7490, 1491, 513, 1413, 693, 938, 2376, 267, 5843, 2675, 2100, 11242, 585, 8866, 1107, 8342, 31401, 8866, 4024, 11146, 563, 9596, 1299, 1849, 12494, 3163, 14173, 585, 8866, 454, 9596, 1299, 1849, 12494, 3884, 1406, 1175, 513, 2257, 6539, 269, 898, 568, 3108, 540, 1187, 602, 3895, 2565, 3206, 543, 2257, 538, 2189, 2081, 269, 2142, 5423, 547, 723, 707, 2247, 27762, 267, 891, 476, 2641, 3946, 6823, 267, 1164, 20589, 6901, 563, 294 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 267, 607, 538, 519, 2013, 1657, 264, 1317, 741, 8244, 666, 1860, 519, 1788, 21852, 563, 13420, 3612, 269, 16811, 568, 4749, 12349, 693, 5662, 569, 3928, 610, 814, 606, 5662, 569, 2557, 7923, 547, 621, 952, 621, 568, 11262, 24323, 563, 2252, 11449, 2326, 568, 2556, 585, 519, 1788, 267, 741, 1942, 568, 4749, 2241, 547, 7447, 1210, 3370, 5777, 610, 9193, 666, 581, 20335, 689, 14273, 563, 2005, 2114, 609, 6378, 3790, 267, 899, 513, 1016, 4186, 847, 528, 269, 901, 568, 513, 5595, 24737, 3022, 1198, 1317, 513, 1016, 4186, 847, 528, 779, 9276, 616, 6378, 267, 855, 789, 2612, 9876, 596, 540, 5539, 585, 519, 1788, 779, 15415, 543, 2298, 269, 4746, 267, 596, 1590, 1224, 519, 1507, 1820, 2094, 6382, 267, 519, 10997, 1522, 711, 581, 3833, 607, 968, 3553, 892, 607, 596, 3494, 563, 258, 274, 269, 12754, 5426, 532, 454, 2791, 616, 2838, 585, 476, 279, 3108, 593, 11016, 543, 476, 279, 3108, 593, 11728, 540, 3018, 476, 272, 269, 2201, 1978, 2395, 267, 596, 616, 711, 2139, 585, 476, 279, 3108, 1317, 596, 960, 513, 2407, 6066, 2816, 269, 2659, 4199, 11706, 6920, 602, 596, 616, 28998, 538, 1788, 2359, 1612, 28917, 269, 1306, 513, 1267, 267, 649, 1590, 30337, 519, 11647, 563, 27287, 11202, 6396, 5741, 5004, 454, 763, 2565, 8905, 568, 519, 1788, 779, 13074, 5832, 540, 22524, 8817, 4247, 267, 2687, 547, 1788, 9946, 269, 5741, 9946, 666, 811, 11593, 4225, 960, 267, 1711, 10853, 4626, 564, 1963, 267, 2226, 3785, 685, 23348, 267, 543, 24390, 610, 9004, 17799, 676, 7114, 519, 1898, 2619, 563, 3528, 7893, 519, 942, 1063, 519, 1376, 540, 519, 1101, 4305, 543, 519, 9096, 540, 519, 2063, 6221, 593, 519, 2565, 2619, 267, 1788, 9946, 666, 3715, 519, 2949, 8653, 540, 519, 1788, 563, 26794, 540, 519, 11879, 11202, 6396, 454, 763, 1739, 616, 519, 1292, 5383, 540, 1210, 519, 2565, 2619, 1505, 602, 1788, 9946, 1058, 581, 3222, 540, 912, 258, 272, 269, 20865, 9442, 454, 27287, 2619, 1505, 16131, 1289, 585, 5955, 689, 1271, 8639, 693, 1169, 3942, 540, 519, 1788, 779, 14438, 269, 634, 15415, 3587, 811, 10853, 543, 4396, 689, 519, 856, 3553, 950, 519, 1983, 540, 3309, 2319, 2818, 543, 1016, 4186, 847, 832, 267, 971, 607, 16413, 267, 3167, 2103, 267, 543, 4070, 9946, 267, 616, 5916, 563, 258, 273, 269, 26875, 1436, 568, 17214, 3244, 16980, 454, 7712, 1788, 9946, 666, 1732, 5581, 14422, 543, 5173, 519, 10581, 540, 1142, 960, 676, 7114, 519, 2565, 2619, 563, 15239, 2275, 15560, 2238, 723, 513, 2318, 10581, 267, 6466, 1271, 2619, 4247, 723, 4642, 6083, 1846, 269, 30581, 666, 3313, 519, 10862, 540, 1142, 4305, 676, 12719, 922, 10581, 269, 634, 10862, 4679, 607, 519, 10581, 11081, 563, 258, 274, 269, 16842, 2480, 1117, 30389, 6452, 5596, 454, 763, 2565, 2619, 1935, 568, 513, 1134, 2000, 27419, 543, 4096, 762, 1907, 585, 7393, 1788, 8430, 6111, 269, 634, 5358, 16214, 543, 5623, 26435, 630, 303, 12224, 1070, 1776, 1788, 2359, 1907, 602, 11226, 6887, 538, 21501, 2949, 1788, 942, 267, 568, 1419, 1031, 538, 512, 30802, 609, 8713, 300, 269, 5741, 9946, 666, 3132, 519, 1034, 5730, 23004, 676, 9256, 623, 12224, 543, 2565, 2619, 2409, 563, 258, 275, 269, 20865, 11485, 24544, 454, 10303, 2565, 2619, 16131, 5693, 1397, 875, 8200, 4247, 9305, 547, 835, 1776, 267, 1788, 9946, 616, 1732, 2111, 547, 18783, 519, 678, 21451, 4539, 540, 17799, 269, 22702, 547, 824, 1949, 602, 1810, 1406, 4383, 29444, 267, 519, 2565, 2619, 1505, 3947, 596, 811, 8458, 547, 1118, 2242, 2038, 593, 543, 8952, 811, 26208, 689, 8345, 563, 258, 276, 269, 16842, 11154, 1464, 454, 27287, 2619, 1505, 3060, 12222, 2285, 1788, 9946, 519, 2645, 789, 991, 547, 3533, 4188, 519, 8430, 950, 1919, 1810, 1406, 979, 607, 4397, 269, 5741, 9946, 666, 946, 3301, 602, 666, 18082, 519, 2360, 540, 1114, 2242, 547, 5635, 2164, 543, 3442, 519, 1655, 3070, 269, 634, 3301, 2636, 596, 547, 3533, 973, 531, 1529, 622, 519, 8430, 267, 2687, 547, 623, 788, 3019, 563, 258, 277, 269, 20523, 10439, 8177, 454, 19061, 9946, 949, 3533, 10146, 513, 1788, 779, 4626, 564, 762, 543, 3356, 676, 1210, 2565, 2619, 1505, 3060, 12222, 543, 717, 656, 339, 5750, 11269, 540, 2565, 2619, 16131, 269, 5741, 9946, 543, 2319, 2818, 666, 723, 513, 811, 16022, 2631, 540, 513, 1788, 779, 18330, 676, 1210, 891, 3308, 2645, 982, 789, 1522, 581, 2111, 547, 946, 513, 1447, 11617, 18398, 4781, 563, 1692, 568, 519, 11879, 11202, 6396, 6726, 730, 888, 2080, 779, 875, 547, 16924, 3313, 519, 2565, 2619, 538, 1788, 2359, 269, 1403, 596, 1810, 1406, 946, 1788, 2359, 3301, 610, 1175, 1616, 547, 5595, 27902, 3388, 2676, 268, 5903, 782, 540, 707, 4247, 610, 2238, 267, 1818, 4063, 540, 741, 3347, 543, 546, 15342, 563, 268, 8073, 513, 8430, 3060, 6516, 267, 799, 2982, 519, 3347, 1063, 707, 4247, 538, 513, 3308, 6073, 563, 268, 634, 942, 621, 786, 1491, 547, 9096, 1142, 2619, 998, 519, 6516, 666, 581, 7229, 676, 17609, 782, 1761, 10092, 543, 4946, 909, 519, 8653, 540, 1142, 2534, 563, 268, 2659, 2565, 2619, 568, 519, 835, 609, 519, 13074, 2949, 8653, 563, 268, 634, 5383, 540, 2565, 8905, 2079, 538, 1788, 2359, 454, 268, 2991, 596, 723, 5462, 519, 2565, 2619, 585, 707, 1788, 267, 596, 666, 6385, 3313, 563, 268, 2436, 513, 8488, 786, 723, 606, 1198, 593, 519, 3003, 1788, 543, 1491, 3617, 2962, 563, 268, 1677, 15814, 2200, 267, 596, 1522, 27185, 821, 1447, 1271, 6009, 543, 1683, 811, 10862, 547, 4247, 602, 616, 593, 519, 2565, 2619, 563, 1432, 568, 519, 20828, 540, 519, 11879, 11202, 6396, 888, 763, 2565, 2619, 1505, 729, 2813, 676, 13660, 303, 2632, 538, 519, 476, 4198, 271, 338, 269, 634, 12191, 729, 7620, 8246, 676, 519, 3114, 2872, 547, 1711, 519, 10991, 12285, 1634, 607, 683, 641, 16867, 269, 8713, 300, 29765, 1646, 676, 6908, 23164, 2504, 543, 5826, 563, 19350, 568, 513, 811, 9488, 7778, 540, 1142, 540, 891, 5383, 540, 519, 2565, 8905, 1935, 563, 258, 272, 269, 11822, 20907, 5004, 454, 3528, 4227, 2695, 663, 1229, 942, 267, 799, 4679, 519, 1942, 540, 707, 1480, 543, 824, 2200, 267, 596, 666, 2327, 519, 1788, 568, 6192, 593, 8430, 269, 1411, 666, 1847, 10986, 547, 2565, 2619, 4247, 267, 585, 3236, 267, 952, 972, 568, 10581, 942, 4478, 835, 2534, 269, 901, 786, 2759, 1524, 593, 7199, 11112, 960, 543, 7329, 548, 942, 563, 258, 273, 269, 30785, 2480, 1117, 30389, 454, 19061, 9946, 666, 5402, 3651, 10986, 547, 2238, 602, 723, 10581, 942, 267, 538, 1840, 547, 9427, 873, 689, 1346, 609, 513, 2603, 540, 10581, 942, 607, 3617, 269, 1280, 1383, 267, 789, 949, 3651, 10581, 942, 3785, 547, 5520, 945, 616, 1869, 538, 519, 1565, 1184, 865, 602, 789, 666, 1491, 741, 942, 13215, 1007, 1983, 563, 258, 274, 269, 5741, 5004, 2334, 1772, 3244, 16980, 454, 763, 2565, 2619, 1505, 17337, 513, 1788, 883, 519, 6263, 5933, 2838, 547, 9096, 621, 267, 2864, 982, 3168, 693, 513, 2462, 267, 1950, 1788, 607, 513, 2898, 269, 898, 3587, 12863, 547, 4383, 2200, 267, 23348, 267, 543, 13007, 950, 1788, 9946, 13404, 593, 5883, 513, 1788, 593, 513, 4305, 8386, 2389, 2532, 4493, 607, 519, 1788, 8441, 563, 258, 275, 269, 13229, 12754, 5004, 454, 763, 2565, 8905, 1505, 6087, 1788, 9946, 547, 22942, 519, 21852, 585, 1169, 4305, 543, 267, 18867, 267, 519, 2200, 2838, 547, 14892, 873, 269, 1306, 513, 1267, 267, 621, 568, 2241, 547, 3313, 1141, 2200, 1058, 581, 21248, 538, 1931, 540, 10862, 693, 1022, 2016, 3942, 540, 519, 1788, 269, 1548, 779, 811, 267, 621, 568, 2241, 547, 2697, 950, 2200, 666, 581, 11651, 1540, 2476, 689, 6009, 602, 666, 7227, 865, 789, 666, 581, 6964, 547, 9096, 811, 14849, 3283, 563, 1432, 568, 11879, 11202, 6396, 1299, 623, 12224, 286, 888, 14240, 540, 623, 12224, 454, 25284, 630, 19061, 264, 16214, 543, 5623, 26435, 630, 303, 12224, 264, 568, 513, 4480, 1031, 547, 6218, 3785, 269, 4706, 3483, 568, 547, 948, 1788, 9946, 1544, 267, 10891, 267, 8430, 267, 11282, 267, 543, 1827, 741, 960, 269, 901, 1982, 20674, 538, 26762, 519, 12191, 1031, 547, 2347, 513, 1788, 543, 538, 8159, 519, 2547, 2179, 540, 942, 2556, 547, 9096, 519, 3003, 1788, 269, 623, 12224, 729, 2813, 538, 519, 476, 4198, 271, 338, 609, 519, 9837, 540, 4227, 1788, 942, 543, 13258, 563, 14240, 540, 8713, 300, 454, 288, 1134, 8153, 1788, 9781, 4480, 538, 1788, 2359, 568, 519, 11879, 11202, 6396, 267, 610, 8713, 300, 269, 898, 568, 513, 4199, 268, 6748, 5690, 602, 6276, 23765, 543, 21546, 21701, 2813, 538, 519, 476, 4198, 271, 338, 563, 763, 1292, 3804, 540, 8713, 300, 538, 3785, 568, 547, 4137, 856, 799, 4247, 616, 1271, 543, 799, 5749, 1406, 865, 602, 7526, 666, 581, 14284, 543, 4420, 6352, 1815, 802, 666, 581, 4389, 563, 1432, 568, 519, 16338, 9737, 8713, 300, 1299, 623, 12224, 888, 8139, 875, 1279, 513, 1978, 4305, 786, 1491, 568, 519, 4909, 11984, 1063, 623, 12224, 543, 519, 11879, 11202, 269, 17130, 546, 15342, 616, 20093, 1738, 609, 623, 12224, 267, 26089, 519, 946, 540, 513, 2203, 547, 9472, 942, 269, 589, 5458, 5870, 610, 513, 4070, 1788, 616, 1079, 1806, 540, 3785, 1141, 513, 2565, 2619, 568, 811, 6225, 2094, 4305, 3259, 949, 581, 10567, 3362, 563, 268, 12020, 267, 20319, 267, 12180, 267, 25640, 267, 543, 5883, 20437, 2238, 616, 2944, 1210, 519, 1788, 2359, 4480, 1634, 607, 623, 12224, 269, 769, 8713, 300, 267, 1134, 20452, 2238, 616, 9709, 267, 16516, 267, 6896, 267, 20291, 267, 543, 6417, 269, 8713, 300, 568, 513, 8579, 1505, 540, 1788, 2359, 563, 268, 623, 12224, 568, 513, 1505, 540, 942, 2359, 543, 4058, 269, 9521, 8713, 300, 267, 513, 4480, 585, 942, 543, 1942, 2359, 563, 268, 769, 4334, 547, 8713, 300, 267, 799, 2919, 607, 513, 2679, 1788, 267, 623, 12224, 7153, 607, 513, 1382, 543, 1646, 11036, 563, 8489, 568, 11879, 11202, 13242, 888, 763, 8713, 300, 1935, 3006, 5219, 547, 607, 968, 322, 15560, 2619, 2079, 892, 630, 290, 5183, 1070, 3322, 14335, 513, 3060, 6516, 547, 9414, 519, 1931, 538, 799, 4247, 1590, 581, 5645, 856, 538, 1931, 547, 2347, 513, 1788, 269, 4495, 891, 960, 9696, 610, 11444, 723, 1044, 1500, 267, 741, 13080, 616, 23125, 856, 538, 1931, 547, 1265, 519, 1034, 1271, 2619, 267, 799, 11887, 875, 1279, 519, 2898, 1788, 786, 1491, 563, 1432, 616, 519, 476, 274, 4790, 571, 6493, 888, 2080, 616, 519, 1614, 2010, 540, 10148, 596, 991, 547, 4308, 609, 912, 258, 272, 269, 5384, 4790, 571, 842, 454, 763, 2165, 968, 5503, 23061, 892, 4016, 547, 519, 1788, 779, 15415, 585, 12032, 267, 799, 2882, 519, 1813, 7389, 585, 1142, 1788, 5123, 543, 519, 4266, 593, 799, 519, 3803, 5838, 762, 786, 581, 1500, 2139, 563, 258, 273, 269, 2480, 2100, 4790, 571, 842, 454, 763, 1808, 6859, 267, 5838, 1963, 267, 2934, 267, 543, 3252, 540, 513, 1788, 616, 3989, 676, 922, 9165, 269, 1656, 849, 2059, 609, 519, 11645, 2556, 547, 2347, 621, 563, 258, 274, 269, 8779, 4790, 571, 842, 454, 5472, 540, 519, 2883, 2200, 2838, 547, 9096, 519, 1788, 593, 8430, 543, 1369, 922, 1305, 9165, 616, 3769, 538, 519, 1788, 1942, 267, 1419, 1634, 607, 519, 1788, 779, 6578, 269, 5457, 602, 1942, 2882, 711, 1175, 519, 2724, 6170, 593, 5370, 855, 849, 519, 3902, 540, 4074, 267, 21527, 267, 2298, 1852, 267, 543, 824, 2609, 563, 1432, 616, 519, 18567, 540, 519, 11879, 11202, 6396, 888, 258, 272, 269, 4107, 7216, 3399, 8648, 563, 15612, 908, 875, 1279, 1142, 4305, 786, 1491, 568, 519, 1985, 3942, 269, 4746, 267, 596, 1522, 607, 1134, 1491, 513, 3018, 547, 6430, 593, 513, 16475, 8502, 1310, 15388, 707, 7399, 543, 19142, 909, 585, 707, 1283, 4584, 269, 898, 666, 1491, 2947, 3764, 547, 3442, 513, 15745, 269, 898, 666, 1491, 606, 5662, 547, 3442, 513, 10959, 563, 258, 273, 269, 4107, 2487, 3399, 8648, 563, 3528, 18946, 519, 942, 2838, 547, 2347, 519, 1459, 960, 689, 519, 9998, 1376, 942, 585, 519, 1985, 6221, 593, 519, 1592, 267, 596, 666, 1205, 519, 5767, 1376, 942, 585, 1022, 4305, 593, 519, 1592, 269, 634 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 538, 835, 2034, 707, 12475, 8759, 786, 6633, 543, 6492, 1659, 995, 269, 1703, 616, 1082, 2081, 547, 556, 17742, 12475, 25022, 267, 543, 621, 3085, 1406, 2339, 799, 835, 596, 946, 607, 1279, 607, 596, 1810, 1406, 1577, 873, 979, 547, 3653, 563, 763, 7912, 12475, 8759, 267, 635, 611, 516, 547, 519, 8970, 12475, 8759, 267, 814, 513, 1454, 10156, 1686, 269, 634, 7912, 12475, 8759, 12090, 538, 519, 1533, 540, 12312, 7702, 267, 519, 3694, 321, 21488, 540, 6792, 269, 6145, 922, 22959, 11218, 267, 519, 7912, 12475, 8759, 630, 339, 677, 8759, 632, 3771, 2088, 264, 814, 1082, 3344, 267, 7306, 267, 543, 6163, 269, 898, 568, 1455, 538, 7187, 6792, 543, 538, 519, 27623, 2136, 2276, 855, 711, 693, 782, 1134, 1634, 1472, 6792, 4975, 563, 1103, 3162, 7147, 7912, 12475, 25022, 616, 1507, 543, 5394, 269, 769, 4639, 7147, 789, 616, 5420, 13355, 269, 769, 4993, 621, 779, 513, 7848, 267, 1498, 2462, 267, 6094, 2010, 2392, 558, 3729, 269, 769, 12312, 7702, 543, 11105, 14151, 267, 12475, 25022, 632, 3771, 2088, 616, 1804, 1765, 324, 697, 8696, 6279, 538, 8006, 269, 1703, 789, 616, 25649, 543, 2322, 1985, 547, 707, 6676, 267, 899, 23040, 9469, 269, 634, 2063, 942, 594, 729, 538, 27925, 267, 3079, 540, 6998, 585, 513, 2915, 27932, 9126, 594, 4280, 585, 606, 3063, 12475, 8759, 547, 4163, 519, 2451, 13569, 538, 269, 13536, 602, 3781, 594, 1185, 513, 9735, 3276, 761, 334, 585, 513, 15165, 269, 1879, 513, 3276, 761, 334, 568, 22304, 543, 6039, 609, 1368, 659, 600, 1961, 543, 521, 1023, 320, 593, 1283, 621, 3587, 513, 16403, 747, 18553, 563, 14503, 712, 12475, 25022, 27253, 5488, 982, 8970, 12475, 25022, 267, 1498, 789, 798, 1118, 8748, 32409, 267, 1256, 693, 4928, 2837, 269, 594, 3314, 2469, 547, 1153, 609, 513, 3276, 761, 334, 632, 32711, 714, 334, 598, 27280, 341, 657, 630, 300, 1410, 4618, 30725, 720, 543, 5798, 264, 28969, 1250, 6960, 12899, 9126, 543, 737, 327, 13403, 27890, 269, 21661, 519, 1153, 13452, 2893, 1250, 3659, 2672, 5414, 609, 1200, 20858, 29124, 12899, 4216, 267, 838, 3739, 24113, 7423, 543, 21297, 689, 1200, 3043, 1532, 1348, 26889, 5196, 1200, 28448, 20399, 10571, 269, 1280, 3214, 267, 2686, 3604, 616, 3006, 711, 865, 1804, 1310, 782, 563, 2414, 1118, 1079, 18797, 7912, 12475, 25022, 596, 991, 476, 272, 11013, 540, 521, 26661, 3043, 7912, 267, 476, 273, 18324, 9398, 540, 6070, 267, 476, 26528, 7484, 540, 561, 731, 267, 543, 476, 272, 7484, 540, 3636, 1216, 269, 9255, 519, 7912, 538, 513, 12826, 543, 2759, 538, 519, 561, 731, 607, 952, 596, 941, 1818, 2650, 322, 6412, 269, 19837, 9876, 519, 6070, 538, 519, 1216, 267, 1039, 602, 7848, 547, 519, 7912, 543, 561, 731, 547, 1118, 513, 726, 4192, 14859, 267, 543, 9054, 611, 621, 2394, 621, 568, 2571, 543, 13412, 269, 13983, 848, 707, 3946, 543, 1106, 14859, 11084, 476, 272, 16006, 6279, 538, 8006, 610, 5594, 8273, 269, 2201, 513, 1166, 10696, 4604, 267, 946, 513, 12902, 8930, 547, 5066, 856, 1142, 14859, 3440, 547, 693, 2547, 476, 279, 6279, 538, 8006, 269, 630, 2791, 666, 1406, 946, 513, 12475, 8759, 2046, 1317, 540, 519, 22786, 540, 519, 14859, 4700, 13648, 519, 12475, 25022, 593, 606, 4401, 1989, 1497, 936, 5420, 3002, 267, 607, 596, 1131, 8970, 12475, 25022, 563, 4415, 713, 1482, 11600, 1250, 544, 600, 5451, 1131, 3006, 1118, 521, 30249, 760, 25022, 269, 3689, 1352, 1131, 5066, 476, 272, 26528, 20878, 11084, 540, 14859, 1360, 6094, 267, 20105, 873, 16741, 2511, 883, 2185, 4773, 267, 543, 1287, 26650, 519, 12311, 2471, 269, 2991, 1951, 1456, 891, 25858, 344, 29535, 9313, 1352, 1131, 5066, 873, 538, 4006, 543, 24036, 610, 13248, 9932, 593, 873, 269, 630, 2791, 666, 849, 1118, 2898, 10568, 12475, 25022, 267, 855, 1810, 1406, 2119, 547, 26650, 891, 585, 521, 30249, 760, 25022, 282, 519, 14859, 568, 1932, 21432, 8094, 5629, 596, 917, 519, 3083, 625, 540, 1312, 8970, 543, 7912, 12475, 25022, 267, 596, 949, 723, 8373, 14045, 799, 596, 4782, 269, 2659, 3903, 786, 4096, 14356, 593, 2245, 630, 16341, 10346, 1289, 585, 513, 1880, 1826, 264, 543, 14356, 593, 707, 7099, 269, 1403, 596, 616, 513, 1072, 1426, 13982, 596, 786, 581, 20938, 547, 5873, 602, 519, 8970, 12475, 8759, 814, 1100, 6070, 267, 15459, 9600, 267, 610, 29089, 2510, 269, 13379, 5349, 7129, 1058, 917, 602, 4470, 593, 2450, 267, 519, 3328, 8970, 12475, 8759, 814, 689, 476, 3374, 547, 476, 2004, 8477, 267, 1247, 513, 7912, 12475, 8759, 814, 476, 2537, 547, 476, 4792, 8477, 267, 4470, 1586, 593, 2450, 543, 875, 1454, 561, 731, 568, 1031, 269, 630, 1805, 648, 1532, 4454, 12475, 25022, 4043, 547, 723, 1447, 561, 731, 4700, 1635, 6476, 267, 513, 3368, 20878, 20105, 540, 3043, 3694, 814, 476, 3583, 8477, 269, 1306, 596, 666, 1294, 267, 596, 616, 1732, 1055, 609, 513, 12475, 8759, 563, 2691, 594, 729, 538, 519, 3028, 543, 519, 1152, 12475, 25022, 594, 1223, 1205, 941, 12891, 2917, 779, 27574, 6216, 267, 689, 4432, 17131, 334, 267, 1250, 3993, 3576, 533, 640, 593, 803, 543, 544, 9229, 4195, 3283, 2027, 6765, 269, 630, 6546, 729, 8938, 1296, 3516, 267, 950, 2027, 6765, 729, 2965, 2027, 543, 9447, 4700, 594, 15874, 519, 19471, 12475, 25022, 865, 1454, 602, 1352, 6035, 547, 1205, 803, 1250, 1390, 268, 13550, 779, 11600, 585, 12475, 8759, 12897, 267, 855, 594, 31372, 1932, 1279, 547, 1246, 909, 269, 570, 17144, 715, 2088, 5747, 2063, 1032, 693, 519, 2085, 540, 476, 11463, 267, 2921, 519, 11600, 609, 1200, 269, 594, 666, 1406, 2671, 519, 12475, 8759, 23739, 11600, 267, 855, 594, 666, 798, 519, 1985, 1655, 3364, 543, 1780, 2059, 930, 824, 1920, 29202, 563, 1103, 11204, 5321, 621, 568, 519, 2688, 547, 4688, 782, 519, 1554, 6040, 12475, 25022, 543, 3443, 1922, 787, 873, 269, 2776, 560, 334, 256, 570, 739, 27885, 630, 339, 739, 611, 26320, 267, 952, 789, 2461, 1507, 1040, 2334, 568, 1946, 972, 568, 2141, 513, 12826, 540, 12475, 8759, 13365, 543, 3905, 14036, 538, 11204, 14060, 269, 630, 8170, 1576, 267, 713, 568, 711, 547, 2161, 602, 789, 616, 1500, 689, 19108, 779, 12475, 25022, 8094, 7069, 3993, 779, 5172, 1259, 540, 1210, 588, 1446, 12475, 25022, 568, 538, 12475, 8759, 17339, 269, 3689, 1352, 2306, 9269, 610, 14132, 26185, 609, 14274, 543, 14546, 585, 8137, 269, 2701, 2141, 8591, 513, 21686, 540, 635, 16394, 630, 322, 6058, 1070, 799, 2306, 519, 3017, 609, 513, 2603, 540, 11204, 27130, 269, 634, 12475, 25022, 616, 546, 5367, 267, 22304, 267, 27071, 267, 543, 3773, 547, 519, 26633, 540, 17339, 693, 519, 2063, 4090, 865, 519, 13365, 4465, 1406, 1205, 521, 690, 4445, 563, 5194, 1390, 11600, 585, 31629, 12475, 25022, 568, 11549, 6759, 526, 580, 553, 1765, 300, 1410, 4618, 1319, 15605, 11084, 269, 17166, 596, 723, 513, 18797, 588, 1446, 12475, 25022, 269, 1411, 20836, 873, 609, 513, 27341, 543, 11641, 548, 610, 538, 513, 1426, 16267, 267, 610, 585, 811, 13597, 267, 946, 513, 1558, 622, 630, 320, 11204, 27341, 1500, 689, 11315, 15027, 6149, 1040, 3973, 596, 1039, 476, 272, 4212, 267, 476, 26528, 23188, 540, 6070, 267, 476, 16006, 7484, 540, 1989, 730, 3043, 10381, 630, 7945, 607, 16027, 779, 10381, 1070, 543, 476, 16006, 7484, 540, 3905, 5144, 543, 13489, 269, 4676, 3419, 4733, 519, 14859, 585, 606, 12784, 610, 16074, 547, 1450, 519, 12475, 8759, 5536, 547, 21352, 269, 13536, 602, 1554, 610, 519, 1985, 6640, 9054, 611, 519, 14859, 1134, 543, 1039, 811, 5144, 952, 2556, 269, 3245, 713, 14859, 1118, 513, 18797, 1507, 11084, 267, 519, 11549, 6759, 526, 580, 553, 269, 769, 513, 31068, 3443, 3002, 561, 731, 630, 26211, 2287, 786, 798, 267, 855, 561, 731, 568, 811, 8076, 264, 543, 26650, 519, 11549, 6759, 526, 580, 553, 2394, 789, 616, 11344, 6960, 269, 667, 1778, 1134, 543, 789, 616, 4712, 547, 581, 3773, 547, 17339, 282, 22872, 524, 559, 656, 549, 630, 322, 9461, 6387, 264, 2306, 606, 10694, 547, 6137, 563, 291, 10005, 17394, 779, 634, 32202, 8759, 3883, 630, 19604, 704, 1299, 18007, 264, 3947, 8846, 585, 513, 21318, 540, 1292, 8286, 1210, 12475, 25022, 563, 31640, 5510, 519, 4964, 525, 454, 27745, 333, 1406, 1118, 513, 12475, 8759, 952, 707, 1272, 31030, 593, 621, 286, 4039, 1314, 1765, 15276, 568, 693, 1688, 563, 763, 13128, 2892, 614, 693, 4432, 8895, 785, 334, 12475, 8759, 12051, 568, 711, 2324, 1318, 2221, 267, 865, 6307, 21586, 329, 553, 568, 2892, 1154, 562, 778, 334, 13365, 269, 1744, 6033, 538, 1688, 267, 1352, 6763, 676, 519, 23740, 12966, 267, 21066, 20057, 1782, 519, 13365, 607, 789, 10836, 689, 513, 2620, 19339, 26650, 518, 519, 2450, 540, 513, 5292, 802, 342, 10402, 269, 6307, 568, 835, 540, 519, 1906, 1480, 7919, 3238, 538, 513, 3810, 12747, 1184, 602, 7140, 856, 1765, 22336, 1554, 1765, 1704, 267, 1822, 18797, 8970, 12475, 25022, 267, 476, 10384, 271, 4557, 268, 8784, 15004, 540, 13365, 267, 476, 6110, 271, 10833, 540, 512, 23147, 16115, 267, 543, 476, 1724, 267, 1822, 18797, 3043, 7912, 543, 2898, 10568, 7912, 12475, 25022, 563, 11073, 540, 835, 1804, 543, 1079, 1507, 5656, 538, 519, 11204, 1977, 3296, 540, 5101, 21388, 267, 4432, 8895, 785, 334, 7727, 12475, 25022, 547, 17365, 8637, 267, 14060, 267, 543, 3506, 538, 21388, 267, 28543, 267, 20279, 267, 543, 5101, 7147, 269, 898, 1256, 814, 513, 1507, 2671, 540, 519, 2344, 538, 5842, 21293, 267, 519, 17019, 12475, 8759, 3854, 540, 7147, 563, 2414, 1900, 3330, 513, 12475, 8759, 12051, 568, 547, 581, 11207, 27153, 538, 519, 9329, 540, 8970, 269, 25980, 1310, 596, 4734, 267, 519, 24710, 804, 902, 547, 707, 9660, 543, 25361, 707, 19911, 337, 2812, 269, 21894, 596, 3548, 585, 12899, 610, 12129, 602, 1554, 16919, 25861, 569, 899, 513, 12475, 8759, 269, 9540, 4898, 269, 10801, 519, 1554, 693, 4432, 8895, 785, 334, 779, 2571, 12475, 8759, 6498, 267, 8970, 568, 7683, 1373, 11843, 689, 519, 476, 2412, 267, 1822, 1790, 895, 4859, 7382, 547, 5986, 642, 1846, 602, 1413, 899, 1507, 5755, 6517, 269, 1703, 519, 737, 1716, 1564, 616, 1138, 332, 1229, 585, 13977, 547, 24239, 3764, 609, 1216, 543, 5986, 17263, 16760, 18654, 269, 630, 763, 18654, 267, 513, 2757, 19605, 4440, 2094, 2904, 534, 2053, 267, 23465, 609, 519, 8970, 547, 2285, 519, 11792, 320, 519, 1697, 11007, 267, 3432, 909, 519, 5986, 1184, 267, 543, 2333, 15808, 1272, 269, 32202, 25022, 602, 786, 581, 14023, 730, 610, 1031, 1318, 2476, 723, 1447, 18654, 543, 4061, 513, 811, 10347, 6492, 8094, 5475, 9023, 585, 12964, 547, 29933, 3108, 267, 519, 8970, 7848, 568, 2666, 547, 11792, 320, 538, 513, 6149, 32291, 269, 26682, 1287, 7561, 3049, 519, 11792, 320, 883, 513, 5577, 704, 689, 799, 621, 568, 7142, 1063, 1079, 5066, 619, 269, 1306, 519, 9212, 540, 14859, 10836, 267, 789, 616, 28426, 30000, 883, 21448, 676, 2847, 6295, 5884, 2759, 1562, 269, 589, 23740, 12966, 1854, 526, 956, 519, 28283, 998, 513, 3154, 14089, 585, 17288, 547, 29235, 7643, 543, 12772, 519, 11273, 12475, 25022, 5196, 513, 5832, 23740, 602, 9505, 14782, 873, 1394, 543, 8521, 2394, 789, 3579, 269, 2311, 519, 1439, 540, 519, 1899, 267, 2947, 2021, 1293, 267, 521, 871, 267, 543, 4216, 513, 18797, 610, 811, 12475, 25022, 693, 513, 942, 563, 2691, 621, 779, 12899, 5503, 693, 519, 2030, 267, 519, 23740, 26797, 616, 1869, 269, 634, 4600, 267, 538, 741, 24203, 976, 543, 4552, 26506, 267, 1930, 519, 561, 31708, 789, 723, 4547, 269, 589, 2243, 4386, 547, 519, 13680, 593, 19972, 518, 281, 1131, 4896, 945, 1568, 538, 513, 12475, 8759, 12051, 32380, 3548, 513, 12475, 8759, 1765, 1197, 286, 634, 2626, 568, 2312, 269, 769, 519, 1647, 540, 519, 3349, 616, 1079, 4195, 15004, 540, 519, 20614, 540, 519, 2777, 269, 0, 20225, 269, 476, 1789, 1765, 295, 7419, 16249, 307, 2177, 2443, 3933, 1105, 17984, 1522, 1413, 10347, 267, 855, 789, 2811, 2111, 547, 3460, 689, 3345, 3013, 547, 6792, 1282, 15489, 267, 1419, 609, 519, 948, 540, 3744, 543, 2470, 12439, 563, 7804, 269, 19375, 23894, 568, 1312, 563, 6826, 1188, 267, 8689, 540, 519, 11122, 2218, 693, 519, 15391, 15838, 7467, 540, 3203, 267, 11148, 547, 30746, 543, 267, 950, 519, 942, 568 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 454, 259, 273, 1535, 1341, 476, 277, 815, 476, 1015, 14204, 321, 994, 8138, 339, 847, 1269, 277, 259, 689, 1312, 5011, 540, 519, 3830, 454, 259, 273, 1535, 1341, 476, 277, 1422, 10233, 346, 1042, 2410, 268, 476, 277, 348, 815, 476, 1015, 1422, 10233, 346, 1042, 2410, 268, 476, 277, 21456, 8245, 680, 1518, 454, 259, 273, 1535, 815, 476, 275, 14204, 19667, 728, 1312, 5011, 540, 519, 3830, 676, 1269, 273, 14204, 259, 273, 1535, 1422, 10233, 346, 1042, 7346, 15965, 476, 273, 348, 815, 476, 275, 1422, 10233, 346, 1042, 7346, 15965, 476, 273, 21456, 8245, 680, 1518, 454, 259, 343, 815, 476, 273, 259, 568, 519, 8700, 540, 519, 13551, 4677, 267, 8754, 1269, 310, 815, 476, 273, 14204, 322, 994, 3080, 1259, 547, 2638, 938, 9273, 568, 547, 5173, 519, 15943, 540, 519, 14328, 4677, 563, 259, 303, 815, 476, 273, 1422, 9392, 700, 1341, 476, 273, 1422, 9392, 654, 8607, 1422, 29911, 815, 476, 273, 1422, 9392, 476, 274, 1341, 476, 273, 1422, 9392, 476, 273, 815, 476, 277, 1341, 476, 275, 815, 476, 1015, 14204, 6518, 14687, 547, 519, 2016, 15943, 1269, 303, 815, 476, 1015, 16859, 1012, 476, 1015, 910, 3213, 15453, 1773, 2033, 692, 22069, 1903, 692, 7367, 269, 513, 264, 5231, 18159, 271, 267, 272, 7751, 568, 4092, 593, 519, 2318, 2427, 540, 519, 586, 14289, 454, 321, 264, 5231, 1269, 8987, 273, 16427, 274, 7751, 568, 4092, 538, 9076, 656, 476, 274, 454, 322, 264, 5231, 18159, 273, 267, 280, 7751, 568, 4092, 538, 9076, 656, 476, 272, 454, 323, 264, 5231, 1269, 8987, 275, 267, 277, 7751, 568, 4092, 538, 9076, 656, 476, 273, 454, 324, 264, 5231, 18159, 274, 16427, 275, 7751, 568, 4092, 538, 9076, 656, 476, 275, 454, 325, 264, 5231, 1269, 8987, 274, 267, 271, 7751, 568, 4092, 593, 519, 2942, 2427, 540, 519, 1535, 14289, 692, 7871, 269, 1269, 288, 815, 11196, 272, 267, 272, 7751, 454, 259, 289, 815, 630, 271, 16427, 272, 7751, 454, 259, 290, 815, 630, 273, 267, 271, 7751, 454, 259, 291, 815, 630, 274, 267, 272, 7751, 454, 259, 292, 815, 11196, 273, 16427, 272, 7751, 454, 259, 293, 284, 630, 274, 16427, 273, 7751, 454, 259, 294, 815, 630, 271, 267, 274, 7751, 454, 259, 295, 815, 630, 271, 267, 271, 22491, 7918, 269, 513, 264, 1280, 5231, 1269, 339, 815, 476, 271, 259, 2073, 1269, 323, 815, 476, 271, 14204, 2690, 5231, 1269, 339, 815, 476, 272, 259, 5662, 5231, 1109, 267, 476, 1741, 1269, 323, 815, 476, 276, 259, 5998, 454, 2690, 5231, 1269, 339, 815, 476, 273, 815, 476, 272, 1341, 476, 272, 259, 3108, 5231, 1109, 267, 476, 1741, 1269, 323, 815, 476, 276, 1341, 476, 276, 815, 476, 1015, 259, 5998, 454, 2690, 5231, 1269, 339, 815, 476, 274, 815, 476, 272, 1341, 476, 272, 1341, 476, 272, 259, 3108, 5231, 1109, 267, 476, 1741, 1269, 323, 815, 476, 276, 1341, 476, 276, 1341, 476, 276, 815, 476, 1428, 259, 5998, 454, 2690, 5231, 1269, 339, 815, 476, 275, 815, 476, 272, 1341, 476, 272, 1341, 476, 272, 1341, 476, 272, 259, 3108, 5231, 1109, 267, 476, 1741, 1269, 323, 815, 476, 276, 1341, 476, 276, 1341, 476, 276, 1341, 476, 276, 815, 476, 736, 259, 5998, 454, 2690, 5231, 1269, 339, 815, 476, 276, 815, 476, 272, 1341, 476, 272, 1341, 476, 272, 1341, 476, 272, 1341, 476, 272, 259, 3108, 5231, 1109, 267, 476, 1741, 1269, 323, 815, 476, 276, 1341, 476, 276, 1341, 476, 276, 1341, 476, 276, 1341, 476, 276, 815, 476, 1839, 259, 5998, 16317, 321, 264, 634, 2798, 593, 519, 3349, 1657, 616, 28367, 2630, 543, 519, 2798, 616, 8678, 547, 2285, 513, 1899, 780, 780, 1012, 476, 1556, 910, 21153, 8017, 692, 22069, 1903, 692, 4649, 269, 634, 1297, 1899, 609, 2418, 3238, 538, 519, 2016, 16526, 568, 3254, 2630, 780, 2691, 9236, 1079, 2338, 1210, 519, 1297, 267, 519, 1297, 593, 519, 2451, 568, 4130, 982, 519, 1297, 593, 519, 1318, 454, 320, 264, 5231, 1269, 268, 275, 1422, 2741, 476, 271, 259, 7545, 2073, 7545, 3020, 1317, 1269, 268, 275, 259, 568, 547, 519, 2451, 540, 1269, 271, 14204, 321, 264, 5231, 1269, 271, 1422, 25885, 476, 275, 259, 7545, 2073, 7545, 7301, 1317, 1269, 271, 259, 568, 547, 519, 2451, 540, 1269, 275, 14204, 322, 264, 5231, 1269, 268, 277, 1422, 2741, 910, 275, 259, 7545, 2073, 7545, 3020, 1317, 1269, 268, 277, 259, 568, 547, 519, 2451, 540, 1269, 268, 275, 14204, 323, 264, 5231, 1269, 268, 277, 1422, 25885, 476, 276, 259, 7545, 2073, 7545, 7301, 1317, 1269, 268, 277, 259, 568, 547, 519, 2451, 540, 1269, 276, 14204, 324, 264, 5231, 1269, 271, 1422, 2741, 476, 277, 259, 7545, 2073, 7545, 3020, 1317, 1269, 271, 259, 568, 547, 519, 2451, 540, 1269, 277, 6911, 1012, 476, 1321, 910, 16387, 692, 22069, 1903, 692, 6321, 269, 634, 2040, 540, 782, 4835, 7285, 540, 513, 6906, 568, 3160, 547, 454, 321, 264, 5231, 1269, 5197, 17353, 15132, 31859, 6872, 269, 769, 519, 2016, 4137, 267, 7285, 4399, 4120, 589, 15477, 259, 543, 4399, 4120, 645, 8016, 259, 616, 454, 321, 264, 5231, 4675, 11915, 780, 6812, 269, 513, 264, 5231, 4399, 4120, 589, 15477, 31046, 1422, 3667, 346, 663, 348, 31046, 1422, 4120, 11298, 293, 1422, 15153, 259, 2073, 10691, 26432, 7285, 454, 321, 264, 5231, 4399, 4120, 645, 8016, 31046, 1422, 3667, 346, 663, 348, 31046, 1422, 4120, 661, 29996, 1422, 15153, 259, 2073, 26432, 7285, 454, 322, 264, 5231, 4399, 4120, 2910, 291, 31046, 1422, 3667, 346, 663, 348, 31046, 1422, 4120, 674, 15477, 259, 2073, 10691, 26432, 7285, 454, 323, 264, 5231, 4399, 4120, 674, 15477, 31046, 1422, 3667, 346, 663, 348, 31046, 1422, 4120, 2910, 292, 1422, 15153, 259, 2073, 26432, 7285, 454, 324, 264, 5231, 4399, 4120, 589, 8016, 31046, 1422, 3667, 346, 663, 348, 31046, 1422, 4120, 11298, 292, 1422, 15153, 259, 2073, 10691, 26432, 7285, 454, 325, 264, 5231, 4399, 4120, 645, 7495, 31046, 1422, 3667, 346, 663, 348, 31046, 1422, 4120, 661, 29151, 259, 2073, 26432, 7285, 692, 6795, 269, 5231, 12315, 519, 1297, 540, 5011, 540, 1142, 540, 519, 12166, 5515, 7396, 2630, 563, 320, 264, 5231, 19999, 6782, 2433, 476, 1741, 476, 276, 5011, 454, 321, 264, 5231, 3004, 19649, 1355, 2433, 476, 1741, 476, 275, 5011, 454, 322, 264, 5231, 21121, 2433, 476, 1741, 476, 274, 5011, 454, 322, 264, 5231, 918, 924, 2433, 476, 1741, 476, 275, 5011, 692, 2568, 269, 536, 264, 5565, 7285, 616, 3160, 543, 519, 6587, 5011, 547, 519, 3160, 7285, 616, 3160, 780, 8618, 269, 4399, 3667, 346, 8110, 9014, 348, 815, 476, 273, 1422, 9392, 1422, 3667, 346, 26319, 348, 1341, 476, 273, 1422, 9392, 1422, 3667, 346, 12296, 348, 815, 476, 273, 1422, 9392, 476, 1015, 1341, 476, 273, 1422, 9392, 476, 276, 815, 476, 736, 1341, 476, 1015, 815, 476, 1789, 259, 4699, 692, 7830, 269, 1269, 22704, 815, 476, 274, 269, 1691, 1422, 9392, 1422, 3667, 346, 31709, 11892, 273, 815, 476, 274, 269, 1691, 1422, 9392, 630, 272, 8203, 273, 815, 476, 274, 269, 1691, 259, 4009, 7397, 780, 8287, 269, 4595, 13235, 291, 568, 513, 13551, 267, 5084, 292, 568, 513, 1318, 6906, 269, 634, 1858, 540, 519, 26484, 2627, 949, 581, 7229, 676, 18946, 519, 1858, 540, 519, 1318, 6906, 5084, 292, 689, 519, 1858, 540, 519, 13551, 13235, 291, 563, 22704, 540, 1318, 6906, 5084, 292, 4399, 15153, 815, 1422, 2765, 346, 272, 2410, 273, 348, 1422, 9392, 1422, 28235, 346, 14701, 348, 1422, 9392, 1422, 28235, 346, 4696, 348, 815, 1422, 2765, 346, 272, 2410, 273, 348, 1422, 9392, 476, 273, 1422, 9392, 476, 278, 815, 476, 278, 259, 16302, 17744, 454, 22704, 540, 13551, 13235, 291, 4399, 15153, 815, 1422, 28235, 346, 5723, 348, 1422, 9392, 1422, 28235, 346, 4696, 348, 815, 476, 1015, 1422, 9392, 476, 278, 815, 476, 3583, 259, 16302, 17744, 454, 22704, 540, 26484, 2627, 815, 9351, 540, 13551, 13235, 291, 910, 9351, 540, 1318, 6906, 5084, 292, 4399, 15153, 815, 476, 3583, 910, 476, 278, 815, 476, 8287, 259, 16302, 17744, 454, 9616, 602, 519, 26484, 3148, 4171, 1858, 568, 7229, 1657, 568, 513, 25671, 1355, 543, 922, 1858, 949, 581, 7229, 1210, 519, 4542, 585, 519, 1858, 540, 513, 25671, 1355, 780, 1012, 476, 1724, 910, 8422, 667, 7645, 22955, 692, 22069, 1903, 692, 5038, 269, 7089, 540, 3798, 2471, 4399, 15153, 815, 476, 275, 1341, 476, 275, 1341, 476, 275, 815, 476, 1321, 14204, 10831, 540, 674, 2167, 4399, 15153, 815, 476, 272, 1341, 476, 272, 1341, 476, 275, 815, 476, 277, 6911, 4792, 269, 513, 994, 22704, 540, 519, 25965, 13235, 291, 4399, 15153, 815, 476, 277, 1422, 9392, 476, 275, 815, 476, 2190, 259, 16302, 4559, 454, 22704, 540, 519, 25965, 5084, 4047, 4399, 15153, 815, 476, 275, 1422, 9392, 476, 1015, 815, 476, 2412, 259, 16302, 4559, 454, 22704, 540, 519, 25965, 9823, 21203, 4399, 15153, 815, 476, 277, 1422, 9392, 476, 1015, 815, 476, 2568, 259, 16302, 4559, 454, 321, 994, 763, 2627, 1858, 1269, 288, 259, 540, 519, 14328, 24388, 568, 3160, 547, 29375, 21201, 519, 2040, 540, 519, 2127, 540, 519, 25965, 13235, 291, 267, 5084, 4047, 543, 9823, 21203, 563, 259, 288, 815, 476, 273, 1422, 9392, 630, 2190, 266, 2412, 266, 2568, 264, 815, 476, 27886, 259, 16302, 4559, 454, 322, 994, 24127, 4399, 15153, 815, 476, 277, 1422, 9392, 476, 275, 1422, 9392, 476, 1015, 815, 476, 13301, 259, 7750, 539, 4559, 692, 5780, 269, 634, 4320, 568, 2016, 676, 519, 1587, 540, 519, 1858, 1269, 320, 259, 540, 519, 1318, 6906, 13235, 543, 519, 3259, 540, 519, 24388, 4399, 28235, 346, 28425, 21456, 17798, 519, 3830, 454, 259, 2190, 815, 513, 1422, 9392, 1422, 28235, 346, 28425, 21456, 763, 1858, 1269, 320, 259, 540, 519, 1318, 6906, 13235, 4399, 15153, 815, 1422, 2765, 346, 272, 2410, 273, 348, 1422, 9392, 476, 275, 1422, 9392, 476, 274, 815, 476, 277, 14204, 27802, 3482, 1269, 320, 259, 676, 922, 1871, 538, 519, 3830, 454, 259, 2190, 815, 476, 277, 31046, 1422, 28235, 346, 28425, 21456, 19667, 728, 1312, 5011, 540, 519, 3830, 676, 1269, 277, 259, 543, 4194, 585, 4399, 28235, 346, 28425, 4151, 547, 3489, 454, 7445, 28235, 346, 28425, 348, 815, 476, 275, 14204, 763, 2698, 2627, 1858, 568, 2016, 676, 519, 2040, 540, 519, 2127, 540, 782, 476, 276, 8188, 2433, 519, 1079, 1318, 12730, 543, 519, 476, 274, 25965, 454, 763, 2698, 2627, 1858, 4399, 15153, 815, 630, 277, 1341, 476, 277, 264, 1341, 630, 275, 1422, 9392, 476, 275, 1341, 476, 274, 1422, 9392, 476, 275, 1341, 476, 276, 1422, 9392, 476, 275, 264, 815, 476, 2568, 259, 16302, 4559, 692, 1012, 476, 1691, 910, 4578, 543, 28977, 692, 22069, 1903, 692, 6858, 269, 7089, 540, 3108, 829, 1554, 454, 31388, 2433, 476, 274, 3108, 454, 307, 11698, 2433, 476, 274, 3108, 454, 26607, 11888, 2433, 476, 273, 3108, 454, 32637, 2433, 476, 275, 3108, 454, 293, 27518, 2433, 476, 274, 3108, 454, 13707, 1297, 540, 3108, 4399, 15153, 815, 476, 274, 1341, 476, 274, 1341, 476, 273, 1341, 476, 275, 1341, 476, 274, 815, 476, 1428, 6911, 6924, 269, 513, 994, 5804, 519, 27008, 267, 1269, 274, 259, 1053, 20639, 538, 519, 2039, 476, 3445, 268, 4200, 563, 321, 994, 5804, 519, 27008, 267, 1269, 278, 259, 1053, 20639, 538, 519, 2039, 476, 3199, 268, 8660, 543, 1269, 275, 259, 1053, 20639, 538, 519, 2039, 476, 2568, 268, 7597, 563, 17798, 454, 259, 278, 910, 476, 275, 815, 476, 274, 259, 811, 1053, 20639, 538, 519, 2039, 476, 3199, 268, 8660, 982, 1053, 945, 20639, 538, 519, 2039, 476, 2568, 268, 7597, 780, 1012, 476, 1428, 910, 10803, 692, 22069, 1903, 692, 7597, 269, 700, 17999, 1239, 1871, 4399, 282, 815, 476, 278, 14204, 22102, 652, 1239, 1871, 4399, 282, 815, 476, 272, 14204, 9792, 815, 700, 1173, 1115, 1239, 1871, 910, 9540, 652, 1239, 1871, 4399, 282, 815, 476, 278, 910, 476, 272, 815, 476, 277, 14204, 11743, 4399, 6234, 815, 1422, 2765, 346, 272, 1341, 476, 275, 1341, 476, 273, 1341, 476, 273, 1341, 476, 274, 1341, 476, 273, 1341, 476, 278, 2410, 278, 348, 815, 1422, 2765, 346, 2641, 2410, 278, 348, 815, 476, 274, 14204 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1445, 593, 21475, 6261, 6680, 14147, 18625, 267, 649, 2689, 1018, 568, 1634, 827, 519, 5817, 3157, 540, 24549, 800, 543, 14147, 17038, 6549, 6735, 602, 6038, 1860, 519, 2702, 540, 27712, 547, 1332, 267, 6414, 267, 543, 25579, 880, 2933, 269, 1284, 1287, 9691, 2708, 2963, 540, 7145, 610, 6382, 540, 24549, 648, 2359, 1369, 7286, 6870, 2127, 630, 6573, 2026, 264, 547, 1732, 1174, 1946, 1082, 12463, 2026, 723, 711, 4824, 4093, 585, 27712, 267, 543, 811, 11932, 547, 2697, 519, 6381, 538, 799, 602, 1106, 540, 2359, 1131, 581, 1034, 2693, 547, 581, 2500, 269, 4173, 321, 643, 648, 2359, 568, 711, 513, 3443, 25445, 267, 855, 814, 519, 1761, 547, 3986, 14147, 11818, 18094, 538, 519, 1318, 6381, 269, 8409, 1331, 602, 281, 630, 328, 264, 15534, 2359, 267, 972, 568, 606, 968, 531, 6549, 1966, 892, 1107, 1775, 4318, 1421, 13385, 24549, 800, 547, 2226, 13479, 538, 2829, 602, 616, 22480, 610, 6225, 585, 27712, 282, 543, 630, 4512, 264, 2359, 3527, 616, 2111, 547, 2333, 2121, 24549, 800, 269, 1306, 2799, 1351, 718, 643, 800, 568, 513, 5732, 7839, 2942, 12343, 540, 2359, 267, 649, 2015, 930, 540, 519, 6381, 538, 799, 602, 568, 1034, 2693, 547, 581, 513, 1966, 607, 1134, 607, 1761, 3435, 269, 5221, 519, 2942, 2360, 540, 1978, 13479, 616, 6574, 585, 14147, 11175, 543, 2038, 12272, 11208, 267, 621, 949, 581, 602, 4509, 6190, 24549, 800, 568, 3226, 1271, 538, 5009, 6051, 689, 16160, 2621, 971, 607, 2527, 6926, 2286, 269, 4935, 267, 24549, 648, 2359, 666, 723, 513, 1909, 547, 1404, 607, 851, 540, 513, 9962, 4640, 547, 4383, 543, 2569, 519, 6937, 602, 4867, 6650, 559, 14147, 18625, 563, 288, 4657, 2916, 568, 6117, 5051, 1455, 543, 12675, 7286, 3002, 30335, 630, 300, 295, 310, 338, 264, 543, 891, 3665, 2621, 723, 1631, 1044, 4922, 13006, 547, 16094, 1764, 7286, 8134, 11451, 269, 1717, 267, 631, 295, 310, 338, 723, 10355, 1044, 2808, 950, 6313, 2837, 14001, 12159, 540, 14147, 11818, 8134, 269, 3371, 649, 2015, 3665, 267, 22297, 8143, 22114, 267, 29005, 1369, 6626, 4679, 538, 4262, 2627, 2837, 267, 799, 11886, 519, 17046, 7355, 585, 631, 295, 310, 338, 269, 1452, 8650, 543, 7920, 2621, 267, 5219, 547, 1934, 607, 631, 295, 310, 28326, 26105, 267, 616, 711, 2141, 1134, 6719, 538, 519, 1699, 5943, 1031, 547, 4766, 14147, 6926, 2286, 267, 855, 798, 723, 3982, 8733, 4093, 267, 1519, 7839, 6926, 2286, 267, 543, 4028, 2527, 9019, 540, 2322, 8271, 5687, 958, 27031, 14147, 2249, 269, 634, 2168, 10256, 540, 891, 22297, 28326, 26105, 616, 5941, 1934, 267, 543, 538, 3257, 865, 649, 1459, 513, 3102, 7811, 5943, 602, 6402, 519, 6211, 6114, 540, 519, 14147, 8666, 15134, 657, 2096, 25027, 11248, 547, 3665, 8143, 2566, 543, 8733, 2242, 593, 18625, 607, 513, 12343, 540, 631, 295, 310, 28326, 26105, 269, 1284, 4766, 875, 519, 4028, 12614, 540, 1164, 5210, 11479, 7525, 3002, 3613, 816, 13251, 10408, 3441, 267, 11566, 6127, 602, 1131, 6382, 11574, 519, 1764, 540, 7930, 19017, 8143, 2566, 269, 634, 3636, 1604, 267, 543, 2799, 1769, 21774, 540, 519, 14147, 22403, 1813, 547, 519, 2530, 540, 14147, 8031, 267, 13745, 609, 14147, 5160, 9178, 1489, 4028, 15451, 2208, 538, 519, 20258, 2890, 523, 1444, 267, 4611, 538, 519, 4922, 11389, 322, 1758, 1242, 12343, 540, 4028, 9178, 267, 543, 23979, 540, 519, 14147, 7729, 30416, 269, 901, 18965, 23979, 540, 14147, 7729, 30416, 593, 513, 11818, 4336, 17225, 519, 6051, 540, 14147, 5095, 543, 2333, 519, 10171, 540, 5123, 10593, 4724, 3473, 531, 17282, 269, 1284, 2303, 602, 631, 295, 310, 28326, 26105, 267, 998, 6117, 4028, 3002, 14001, 9019, 267, 14207, 18625, 685, 7293, 10850, 547, 519, 1033, 337, 2939, 540, 1279, 2165, 6051, 269, 1284, 15974, 602, 631, 295, 310, 28326, 26105, 581, 2808, 607, 513, 3982, 1362, 540, 8143, 2566, 2621, 538, 14147, 18625, 267, 543, 602, 519, 1699, 5943, 1031, 547, 4766, 14147, 6926, 2286, 543, 2527, 9019, 581, 9450, 547, 1331, 891, 269, 1284, 20882, 2417, 1382, 883, 875, 14147, 9019, 5540, 6915, 518, 8531, 676, 14147, 1439, 14663, 338, 563, 17357, 1023, 543, 29008, 525, 538, 22586, 2620, 5498, 320, 5054, 616, 5748, 2249, 2022, 4327, 547, 3986, 2199, 4763, 676, 2810, 1979, 8328, 7226, 30846, 543, 23429, 2199, 3327, 15203, 269, 1452, 1883, 2516, 616, 3810, 7925, 547, 18063, 630, 324, 3052, 1421, 911, 342, 1782, 267, 5599, 267, 543, 5533, 264, 543, 616, 12219, 676, 27763, 2242, 538, 5836, 2175, 5532, 547, 2916, 1689, 630, 29403, 2305, 267, 8337, 267, 543, 632, 2135, 4723, 566, 1040, 4495, 8697, 676, 911, 342, 1782, 610, 824, 18063, 267, 973, 20325, 1436, 543, 1036, 9512, 949, 2154, 5553, 610, 3476, 267, 10223, 519, 991, 585, 19642, 540, 891, 2620, 5498, 320, 14147, 543, 26703, 2950, 630, 9169, 5425, 12336, 1040, 1677, 713, 1439, 267, 519, 6940, 540, 26712, 5425, 12336, 949, 581, 8476, 711, 1152, 676, 7863, 4540, 2950, 267, 855, 849, 1065, 641, 6819, 22841, 2127, 1210, 3742, 11808, 2409, 269, 3371, 267, 649, 1867, 835, 540, 519, 1101, 2090, 547, 2263, 2409, 547, 11177, 2620, 5498, 320, 14147, 5095, 676, 6037, 20814, 14147, 15998, 540, 2789, 14147, 2249, 269, 645, 3757, 2583, 540, 2620, 5498, 320, 27712, 941, 6394, 676, 681, 10976, 689, 476, 8517, 547, 476, 9873, 271, 544, 3178, 1055, 3844, 4993, 543, 9070, 730, 883, 2789, 15998, 2899, 693, 519, 2627, 269, 1452, 15998, 941, 1287, 7923, 547, 968, 322, 7394, 17428, 892, 1210, 1079, 1114, 2409, 543, 5116, 538, 519, 1482, 7226, 547, 2708, 741, 12272, 11208, 630, 333, 815, 476, 13647, 2698, 15998, 267, 562, 815, 476, 278, 26908, 267, 562, 815, 476, 278, 17293, 2516, 1040, 6399, 12272, 11208, 585, 782, 6037, 11343, 14147, 15998, 4767, 1369, 519, 1101, 476, 18458, 2395, 729, 3980, 376, 7367, 9077, 609, 519, 5207, 9019, 9648, 538, 519, 1101, 476, 274, 3275, 269, 769, 1840, 547, 606, 3355, 13796, 8417, 267, 6668, 540, 14147, 15998, 9867, 676, 13613, 1505, 543, 1851, 2249, 269, 2353, 14147, 15998, 7923, 547, 14147, 17428, 1210, 23407, 13218, 5747, 267, 1247, 1346, 7923, 676, 9160, 8507, 538, 11186, 12272, 11208, 936, 942, 269, 634, 8545, 1505, 8507, 538, 476, 3199, 1700, 1911, 260, 23650, 12272, 11208, 1310, 476, 272, 1032, 585, 4856, 718, 1756, 838, 1421, 700, 650, 760, 520, 1127, 838, 1421, 543, 27997, 807, 737, 1993, 1355, 328, 267, 476, 1321, 1700, 2004, 260, 585, 519, 19348, 27712, 23715, 6737, 529, 1170, 335, 269, 543, 1772, 573, 7578, 17895, 659, 4918, 267, 543, 476, 271, 1700, 2004, 260, 585, 519, 19389, 326, 636, 27712, 3474, 698, 3073, 807, 818, 321, 648, 320, 543, 27584, 690, 698, 3073, 807, 28471, 604, 3271, 320, 269, 1452, 3355, 2164, 5815, 3604, 538, 22740, 8481, 547, 13003, 532, 2409, 1851, 14147, 2249, 267, 855, 849, 2303, 602, 1065, 641, 1637, 3646, 949, 17108, 519, 6051, 540, 22841, 26712, 5425, 12336, 563, 19931, 7286, 6288, 2359, 543, 4027, 540, 14147, 18625, 666, 1152, 4755, 952, 9946, 723, 7850, 1702, 540, 11818, 1072, 543, 1858, 269, 1717, 267, 13844, 971, 1344, 568, 4074, 14021, 543, 2352, 609, 3908, 7616, 543, 942, 269, 24035, 6744, 17111, 729, 7722, 676, 4972, 540, 13149, 20088, 17111, 547, 4786, 519, 14147, 18625, 4478, 23621, 2674, 6816, 13149, 5244, 543, 3561, 1072, 4567, 543, 3135, 1808, 6937, 269, 1677, 3035, 713, 267, 649, 8246, 519, 24035, 6744, 5619, 1505, 267, 513, 2241, 267, 4028, 543, 11455, 13387, 11818, 5464, 7014, 1759, 593, 3621, 3741, 269, 901, 1505, 568, 5078, 1141, 7482, 543, 942, 616, 3908, 269, 589, 2698, 540, 476, 4817, 4609, 4478, 23621, 2674, 6816, 941, 23500, 609, 519, 6351, 540, 14468, 24035, 6744, 19889, 291, 1853, 13538, 543, 13222, 689, 2199, 8639, 269, 901, 12504, 2257, 1935, 9863, 3811, 543, 6383, 513, 15977, 4786, 13031, 513, 3017, 538, 519, 1072, 540, 14147, 18625, 1063, 519, 7178, 543, 7532, 5011, 540, 23621, 2674, 6816, 267, 1141, 519, 4639, 1185, 2999, 1839, 260, 2661, 14147, 3382, 607, 3379, 547, 3436, 2004, 260, 593, 519, 5101, 269, 10395, 1441, 609, 1239, 593, 13525, 3165, 543, 29068, 267, 607, 1134, 607, 1480, 543, 2067, 5222, 267, 519, 2164, 2303, 602, 23621, 2674, 6816, 1058, 581, 9674, 883, 1614, 10058, 5726, 10862, 10851, 547, 3986, 2359, 2994, 540, 713, 7286, 6288, 269, 901, 568, 606, 1383, 540, 606, 5499, 1259, 547, 4497, 543, 4125, 2199, 8639, 538, 4058, 5726, 543, 2359, 2994, 563, 1607, 1353, 5359, 593, 519, 27811, 5638, 630, 349, 476, 2190, 544, 3178, 264, 540, 14147, 6926, 2286, 538, 513, 6923, 2837, 3613, 762, 1604, 630, 285, 476, 2918, 11019, 290, 609, 606, 12499, 268, 2335, 783, 13260, 540, 9625, 476, 273, 11019, 290, 1070, 799, 729, 6592, 1282, 513, 2527, 6926, 2286, 2680, 538, 519, 12725, 8789, 267, 7372, 521, 13406, 716, 15687, 14147, 590, 3187, 770, 16699, 588, 749, 1092, 538, 20337, 658, 7297, 540, 8478, 630, 14684, 9533, 1040, 1323, 954, 268, 2335, 783, 2079, 630, 1220, 273, 1700, 1001, 278, 264, 8612, 602, 713, 6926, 2286, 2680, 729, 1644, 547, 22114, 538, 4262, 2627, 2837, 630, 306, 4306, 264, 602, 3366, 547, 519, 3636, 652, 1032, 630, 1001, 271, 264, 538, 713, 2540, 630, 272, 547, 476, 272, 269, 278, 11019, 290, 1657, 3328, 1040, 6270, 22114, 3361, 3002, 2566, 630, 2764, 269, 276, 1700, 3066, 269, 276, 11019, 290, 264, 538, 713, 20337, 658, 1604, 602, 8507, 538, 513, 6926, 2286, 2680, 269, 3776, 2164, 2303, 602, 519, 2333, 538, 590, 4306, 267, 1970, 8514, 7190, 267, 543, 4617, 12798, 949, 723, 19500, 1927, 547, 1860, 891, 2566, 2389, 26985, 27712, 538, 8589, 18625, 269, 634, 20337, 658, 23795, 540, 8478, 568, 6353, 676, 1970, 12499, 268, 2335, 783, 543, 954, 268, 2335, 783, 7648, 538, 590, 4306, 267, 799, 5267, 602, 519, 590, 269, 588, 749, 1092, 27712, 1934, 949, 581, 1035, 743, 574, 520, 1242, 547, 891, 7123, 2175, 543, 267, 18867, 267, 723, 513, 2539, 6926, 2286, 12939, 1317, 540, 2539, 3140, 3002, 2566, 563, 291, 329, 756, 719, 1014, 14147, 18625, 616, 14605, 6594, 267, 855, 616, 540, 2565, 2956, 547, 9235, 543, 1148, 16388, 531, 10068, 538, 713, 1507, 3384, 4182, 269, 769, 476, 1001, 275, 543, 476, 1001, 277, 649, 5645, 856, 519, 1034, 3102, 5619, 540, 30622, 756, 719, 1014, 18625, 547, 4266, 267, 543, 1459, 1239, 593, 741, 14498, 267, 1072, 543, 7447, 741, 13438, 547, 2104, 14147, 6926, 2286, 543, 27643, 5222, 269, 24035, 1826, 9867, 689, 1950, 11818, 21272, 6534, 547, 2842, 543, 6329, 2059, 519, 13323, 540, 1520, 523, 267, 547, 7522, 535, 2590, 532, 18625, 11105, 547, 519, 2620, 1352, 2741, 1229, 7297, 540, 519, 13323, 540, 570, 29951, 2227, 269, 15845, 5267, 602, 538, 519, 2250, 476, 3374, 1296, 519, 18625, 723, 711, 5892, 4810, 4049, 14147, 6926, 2286, 610, 1713, 1480, 5222, 267, 609, 1082, 18625, 2348, 2635, 543, 3309, 14147, 543, 3165, 5095, 269, 6399, 14147, 3382, 729, 1164, 630, 7367, 8472, 543, 3165, 31174, 1137, 941, 13856, 676, 13278, 344, 3077, 2249, 543, 24549, 2803, 269, 1717, 267, 8375, 4262, 2627, 5210, 630, 306, 4306, 338, 264, 543, 4028, 2487, 9381, 1646, 2238, 538, 30622, 756, 719, 328, 616, 2693, 2104, 6937, 547, 891, 5266, 2150, 31189, 18625, 563, 10908, 984, 958, 267, 14147, 18625, 616, 9714, 532, 6385, 1813, 547, 519, 5916, 1764, 540, 2647, 8397, 27643, 2238, 543, 2916, 1689, 269, 6684, 267, 14147, 18625, 538, 3127, 616, 6849, 606, 16650, 3463, 1317, 540, 14556, 1881, 2825, 12159, 267, 799, 2591, 11818, 5117, 6043, 543, 8739, 268, 1815, 1670, 6617, 269, 21298, 267, 29583, 339, 269, 540, 3127, 814, 3144, 909, 519, 2048, 306, 26196, 300, 8403, 19510, 685, 17935, 547, 2333, 922, 2823, 4390, 676, 519, 7269, 540, 4540, 16788, 267, 4070, 540, 1896, 1007, 16788, 543, 24027, 5989, 1646, 676, 476, 1708, 276, 269, 14271, 1120, 2065, 1764, 540, 9381, 1646, 13745, 609, 519, 593, 268, 4707, 2825, 2242, 568, 16363, 547, 17108, 14147, 11818, 12159, 538, 4095, 18625, 269, 4475, 267, 519, 1459, 2376, 6663, 547, 5031, 519, 23473, 540, 2318, 6304, 543, 22612, 540, 1279, 3856, 11455, 14147, 11818, 11808, 1982, 607, 606, 3742, 11818, 2359, 1907, 269, 13966, 609, 6671, 2359, 2853, 267, 11818, 11808, 1982, 1223, 1225, 18571, 2417, 11818, 12159, 543, 786, 2327 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 3856, 3435, 616, 1210, 3282, 10110, 550, 2923, 3330, 540, 9126, 12086, 267, 2810, 519, 20119, 547, 536, 5407, 5223, 543, 538, 930, 4049, 2665, 8920, 5024, 519, 8764, 656, 609, 4195, 3049, 563, 27770, 626, 675, 694, 9429, 883, 519, 1753, 998, 519, 16538, 6821, 1447, 2693, 609, 28778, 5862, 269, 22452, 540, 28778, 5862, 4670, 547, 1164, 11195, 610, 7509, 16172, 1310, 5862, 814, 12015, 267, 2523, 952, 972, 729, 16283, 2627, 7041, 269, 1403, 28338, 979, 1524, 547, 519, 14041, 281, 17179, 519, 2707, 540, 7509, 267, 952, 2009, 269, 0, 294, 1430, 532, 1472, 519, 3595, 2897, 1282, 21617, 3275, 2488, 4313, 585, 1082, 8225, 3885, 269, 2060, 3595, 17541, 543, 3574, 560, 7174, 267, 1498, 789, 3142, 14246, 789, 2097, 609, 3106, 3800, 602, 649, 991, 547, 1246, 269, 1284, 1590, 1589, 827, 16403, 2284, 11642, 267, 2679, 9479, 267, 8673, 32302, 267, 3595, 24773, 29913, 543, 1697, 5665, 5773, 269, 3371, 616, 930, 1919, 547, 1589, 827, 713, 8022, 4005, 912, 268, 634, 946, 540, 513, 3154, 3595, 2897, 814, 1044, 513, 2442, 4244, 547, 3574, 1532, 9506, 3595, 17541, 2523, 538, 18960, 5321, 269, 13937, 3595, 17541, 616, 2653, 547, 946, 282, 1683, 606, 8216, 3595, 693, 519, 2490, 540, 513, 6467, 267, 543, 7472, 3002, 3533, 269, 1809, 891, 3595, 17541, 1205, 3905, 1360, 3533, 543, 666, 581, 513, 8594, 1472, 1453, 269, 9605, 17541, 543, 3574, 560, 7174, 616, 519, 2034, 3056, 2014, 540, 17236, 538, 1453, 563, 268, 8073, 513, 11064, 1472, 1022, 3595, 1747, 547, 1832, 1453, 543, 10130, 513, 2922, 3845, 693, 782, 2053, 563, 268, 1280, 3154, 3595, 17541, 2141, 1118, 2386, 519, 18723, 568, 2312, 4544, 269, 1403, 621, 779, 5835, 610, 10538, 267, 1289, 513, 3028, 3318, 563, 268, 3680, 4881, 707, 3595, 2897, 693, 519, 1482, 942, 607, 824, 14233, 602, 5887, 547, 519, 3544, 547, 2057, 3327, 24785, 1628, 5346, 269, 901, 2882, 3844, 12511, 1949, 267, 9660, 3819, 619, 610, 519, 10051, 26372, 2039, 269, 26121, 782, 540, 891, 14233, 693, 2899, 666, 16765, 1314, 707, 5887, 532, 1062, 865, 602, 930, 3327, 24785, 1223, 13451, 883, 519, 1753, 563, 268, 17546, 1453, 827, 519, 8594, 540, 3595, 543, 2760, 4734, 873, 4805, 2282, 513, 3595, 2897, 610, 3574, 560, 913, 563, 268, 9255, 22799, 607, 1127, 538, 513, 2790, 8708, 13964, 543, 2476, 689, 4376, 602, 1223, 6633, 269, 8307, 26565, 540, 519, 607, 1127, 950, 789, 723, 4625, 22799, 563, 268, 15188, 1957, 267, 3574, 543, 824, 1166, 30100, 2326, 2476, 689, 519, 3574, 560, 913, 563, 268, 22210, 3819, 19023, 3574, 267, 799, 7472, 811, 3002, 543, 849, 11151, 865, 582, 630, 920, 657, 1774, 264, 1628, 5346, 563, 268, 5901, 513, 3595, 24773, 8718, 538, 513, 3844, 4087, 538, 519, 2777, 269, 5269, 2386, 782, 1920, 2818, 917, 1141, 621, 779, 4092, 563, 268, 9255, 8673, 22572, 2429, 519, 2777, 543, 723, 835, 4092, 538, 519, 1482, 4055, 607, 519, 3574, 560, 913, 269, 5269, 513, 4356, 547, 1449, 5781, 563, 268, 898, 568, 5227, 602, 596, 723, 707, 16403, 2284, 13761, 270, 30236, 539, 693, 2547, 476, 273, 2053, 513, 1032, 563, 2467, 568, 4986, 1071, 345, 1512, 982, 513, 3636, 267, 6505, 3595, 593, 513, 669, 11035, 3781, 607, 1279, 607, 596, 616, 3257, 621, 1318, 269, 0, 268, 4569, 7215, 3446, 476, 274, 6780, 543, 19551, 2626, 1883, 454, 268, 4569, 7215, 6780, 543, 19551, 3446, 476, 276, 4320, 476, 273, 454, 268, 11120, 738, 324, 964, 32731, 637, 1696, 964, 7070, 9966, 664, 525, 1649, 631, 24202, 1731, 16629, 629, 331, 4545, 320, 20620, 13043, 7215, 3446, 476, 274, 6780, 543, 19551, 2626, 1883, 454, 16914, 826, 559, 282, 14581, 543, 19551, 3446, 476, 276, 2626, 1883, 269, 631, 269, 8745, 269, 7427, 891, 4267, 1318, 269, 476, 736, 476, 866, 267, 9925, 267, 3992, 476, 274, 267, 513, 1279, 269, 1215, 1082, 286, 476, 6246, 1107, 949, 4569, 1547, 663, 454, 4517, 21501, 2979, 3211, 476, 275, 628, 6780, 2979, 3211, 2626, 2262, 2042, 10213, 942, 3211, 585, 9656, 2681, 2262, 3211, 585, 9656, 8691, 3446, 17447, 3211, 2979, 3211, 585, 476, 279, 628, 17603, 1603, 8454, 607, 17447, 3211, 2979, 11777, 3211, 2979, 8691, 5013, 1876, 2165, 1957, 1187, 3791, 3446, 2979, 3211, 269, 4569, 25285, 16877, 4267, 547, 2979, 519, 4295, 2609, 540, 741, 6044, 267, 609, 6310, 2259, 543, 1565, 3356, 687, 7471, 883, 1169, 3314, 269, 2382, 14688, 3651, 12031, 1093, 525, 773, 536, 659, 561, 267, 17118, 267, 543, 4255, 609, 13128, 18176, 543, 1483, 6066, 8989, 8838, 1308, 2123, 1353, 4566, 585, 1053, 1210, 6304, 512, 3415, 1395, 339, 3570, 1557, 23918, 918, 2908, 2023, 11154, 633, 3525, 525, 269, 4569, 14581, 8382, 6206, 18224, 532, 540, 2164, 269, 20985, 2994, 20741, 2631, 6194, 563, 1607, 5863, 3135, 267, 799, 2882, 4810, 1870, 585, 476, 280, 1296, 267, 568, 835, 540, 519, 3056, 7966, 9313, 593, 519, 5769, 269, 14581, 543, 19551, 3446, 476, 276, 2626, 1883, 1318, 269, 1215, 1082, 286, 4569, 7215, 1608, 4727, 6780, 543, 19551, 6902, 930, 1053, 519, 4116, 1223, 2161, 267, 476, 280, 1296, 269, 5410, 621, 568, 30507, 519, 2953, 593, 799, 1775, 2638, 707, 21189, 281, 21619, 21685, 568, 5497, 547, 1569, 3446, 476, 276, 676, 562, 26138, 282, 4569, 25285, 14581, 1656, 5457, 532, 6103, 476, 276, 12226, 2979, 7215, 1455, 4295, 3446, 476, 276, 2626, 1883, 2443, 30991, 912, 298, 7159, 4802, 2042, 7689, 476, 273, 282, 535, 282, 4879, 3391, 269, 4107, 1053, 547, 1820, 9124, 269, 2859, 4245, 11783, 7170, 281, 2470, 2979, 2626, 10569, 3177, 563, 18184, 1841, 585, 3885, 2979, 269, 7170, 281, 1449, 2626, 1883, 2035, 543, 1688, 538, 2875, 2534, 1433, 3568, 2262, 2042, 609, 8454, 610, 2362, 547, 891, 7223, 476, 272, 269, 9373, 532, 7215, 6780, 543, 19551, 3817, 269, 5457, 532, 267, 562, 4912, 476, 279, 269, 5192, 811, 1344, 563, 2690, 554, 332, 327, 6780, 2531, 7149, 1310, 17469, 942, 538, 2979, 2259, 540, 1957, 269, 1656, 2298, 3028, 256, 15618, 281, 4945, 2630, 267, 2019, 269, 3629, 19551, 547, 606, 5007, 3135, 269, 7731, 5022, 1832, 713, 1966, 2630, 547, 1820, 3817, 585, 6780, 6780, 10467, 543, 5215, 476, 273, 267, 4320, 476, 273, 267, 3446, 2385, 563, 13043, 7215, 6780, 543, 19551, 3446, 476, 276, 4320, 476, 273, 454, 16914, 826, 559, 14581, 543, 19551, 3446, 476, 276, 2626, 1883, 269, 7427, 891, 4267, 1318, 563, 293, 659, 738, 324, 964, 32731, 637, 1696, 964, 7070, 9966, 664, 525, 1649, 631, 24202, 1731, 16629, 629, 331, 4545, 320, 910, 0, 2414, 4266, 267, 1585, 4719, 12889, 10556, 532, 519, 19777, 11853, 540, 11178, 9449, 723, 1044, 4857, 269, 1452, 22787, 26945, 4713, 1267, 689, 13592, 540, 6090, 3238, 538, 1082, 3268, 540, 11178, 9449, 10282, 267, 4859, 267, 21131, 267, 6765, 267, 610, 13345, 269, 769, 4334, 547, 11178, 7988, 327, 768, 517, 14003, 267, 519, 1714, 1075, 9179, 540, 519, 5817, 1696, 5735, 540, 1034, 2665, 540, 11178, 7988, 2102, 8412, 568, 1454, 1447, 6956, 269, 898, 568, 6700, 602, 4719, 2188, 1522, 1404, 513, 1909, 538, 930, 2665, 540, 11178, 7988, 2102, 8412, 543, 519, 1655, 11134, 6090, 3238, 616, 1346, 17683, 16606, 2188, 1634, 547, 1404, 513, 1909, 538, 519, 25782, 1646, 540, 519, 11178, 14189, 269, 5047, 267, 1167, 867, 766, 585, 11178, 7988, 2102, 8412, 568, 519, 4341, 585, 1395, 27340, 5328, 21054, 607, 5063, 4080, 543, 713, 949, 1267, 689, 27981, 2045, 9259, 267, 2038, 30717, 13592, 267, 610, 2022, 5414, 326, 5328, 2621, 269, 769, 519, 3803, 851, 540, 713, 2689, 519, 7636, 12889, 3238, 538, 5946, 602, 3560, 11178, 9449, 538, 519, 10009, 616, 4330, 281, 16815, 6918, 710, 1532, 4193, 5895, 6081, 630, 307, 289, 294, 1070, 17464, 560, 790, 339, 514, 543, 11549, 6058, 267, 602, 949, 581, 2404, 609, 12012, 11178, 1599, 4255, 543, 824, 2619, 11043, 2175, 971, 607, 26887, 1355, 5328, 4874, 928, 1755, 15797, 269, 0, 24718, 543, 13760, 281, 589, 5545, 20309, 22054, 23694, 9218, 454, 1607, 1433, 568, 585, 5545, 1893, 6267, 14971, 547, 3914, 606, 4359, 1377, 2676, 3598, 2996, 945, 616, 2907, 693, 606, 4359, 1377, 267, 5545, 1893, 16929, 3238, 538, 3450, 4359, 5545, 2676, 663, 1346, 5461, 538, 519, 5545, 1893, 563, 3080, 2101, 1883, 547, 13215, 4359, 7400, 5545, 568, 519, 11601, 540, 2769, 1308, 4845, 3270, 602, 1331, 2022, 6570, 531, 5536, 563, 4913, 267, 21594, 543, 519, 899, 10355, 3382, 971, 2769, 1308, 4845, 3270, 563, 12234, 267, 711, 1152, 6267, 855, 1256, 5545, 1893, 16929, 723, 513, 2352, 942, 23243, 1063, 7215, 609, 2147, 3029, 610, 10096, 563, 1607, 1433, 2882, 13366, 585, 476, 3607, 274, 2596, 7215, 563, 4322, 7215, 616, 15044, 676, 2495, 543, 1331, 1383, 5220, 2676, 14708, 2312, 741, 31792, 633, 3347, 563, 763, 1433, 849, 2306, 4704, 547, 476, 29710, 6508, 7215, 602, 616, 7648, 593, 891, 2596, 7215, 563, 26589, 609, 519, 2495, 540, 1142, 4082, 267, 621, 568, 849, 3379, 543, 4334, 539, 609, 1866, 602, 723, 2147, 3029, 543, 10096, 2676, 30161, 8724, 873, 538, 2081, 602, 1450, 596, 547, 1174, 519, 7294, 3604, 538, 2495, 563, 272, 281, 634, 6099, 8675, 540, 22192, 4845, 3270, 585, 4359, 5545, 6267, 543, 5545, 16929, 563, 273, 281, 22291, 834, 21353, 545, 7215, 257, 602, 616, 519, 5748, 540, 4359, 5545, 563, 274, 281, 3281, 4100, 2596, 543, 6508, 7215, 547, 824, 7215, 865, 602, 596, 666, 4487, 741, 946, 563, 275, 281, 589, 5763, 540, 1383, 5220, 602, 616, 2653, 585, 6267, 547, 1174, 543, 3730, 585, 16929, 563, 276, 281, 20450, 607, 513, 4549, 2218, 1433, 585, 519, 5545, 6441, 4833, 4515, 11351, 4530, 543, 22410, 585, 5545, 2160, 1520, 3939, 585, 4139, 4841, 563, 11947, 7547, 476, 278, 4792, 2596, 4845, 3270, 602, 1106, 519, 4493, 540, 4359, 5545, 563, 5825, 619, 786, 1451, 2953, 2495, 543, 6165, 676, 9236, 3688, 609, 2147, 4845, 3270, 563, 763, 3099, 540, 1114, 1383, 5220, 267, 1519, 11234, 6165, 786, 581, 5363, 585, 3755, 269, 0, 291, 11190, 25605, 630, 289, 20315, 299, 4696, 2464, 295, 2567, 634, 27079, 8232, 10414, 630, 7034, 293, 264, 18611, 593, 519, 3127, 5174, 836, 14994, 8473, 5654, 1310, 519, 590, 7431, 17018, 4302, 1934, 799, 568, 4092, 1369, 513, 3845, 540, 8806, 835, 9481, 516, 689, 5689, 6767, 8664, 538, 4639, 19377, 563, 763, 9923, 4302, 729, 3710, 1282, 519, 12081, 540, 29001, 670, 1380, 664, 20961, 267, 1063, 476, 14983, 274, 543, 476, 14681, 280, 267, 538, 519, 3965, 540, 1010, 15962, 7385, 590, 7431, 269, 634, 9923, 4302, 267, 799, 814, 1044, 3710, 538, 513, 2698, 1858, 540, 476, 3393, 7397, 267, 568, 513, 3501, 1383, 540, 519, 6189, 11342, 1354, 519, 15652, 540, 19377, 563, 763, 1488, 3832, 1670, 4972, 540, 16273, 814, 1044, 3168, 1310, 519, 10120, 2497, 2094, 519, 7332, 2173, 1994, 640, 2197, 6913, 5191, 538, 476, 3192, 272, 563, 10521, 10854, 14435, 6062, 7980, 267, 18279, 15011, 12011, 3291, 514, 808, 1695, 836, 597, 543, 11683, 715, 1690, 332, 592, 267, 4503, 741, 2729, 1282, 519, 476, 3192, 272, 2112, 269, 769, 513, 24744, 547, 519, 1079, 7980, 267, 519, 16273, 2229, 9112, 513, 18189, 1369, 519, 22402, 540, 519, 9923, 4302, 799, 814, 1631, 723, 1831, 513, 15805, 5544, 563, 763, 29172, 293, 10265, 753, 11540, 693, 519, 8473, 1832, 9395, 15500, 543, 2932, 2834, 535, 5142, 6362, 540, 1004, 945, 2628, 513, 3643, 547, 519, 9923, 4302, 538, 1931, 547, 3247, 1022, 4990, 540, 10363, 2238, 543, 3444, 8473, 10963, 563, 10144, 689, 5689, 6767, 1034, 1419, 3643, 713, 1747, 1310, 7677, 5109, 782, 6101, 885, 693, 519, 7471, 2638, 2022, 540, 29172, 293, 543, 27079, 2871, 1841, 16273, 630, 289, 16412, 1916, 13126, 281, 8648, 540, 3127, 0, 763, 2597, 540, 476, 1911, 729, 1667, 543, 1297, 540, 729, 1667, 538, 476, 1911, 575, 1058, 581, 7229, 563, 763, 1966, 568, 1759, 593, 1770, 776, 1505, 269, 1403, 2597, 540, 476, 272, 729, 615, 568, 2016, 267, 2597, 540, 2161, 562, 729, 1667, 786, 581, 562, 2053, 519, 2597, 540, 476, 272, 729, 615, 269, 6684, 267, 689, 2597, 540, 476, 272, 729, 615, 538, 10101, 267, 1297, 540, 729, 1667, 538, 476, 272, 575, 666, 581, 7229, 543, 1297, 540, 729, 1667, 538, 1535, 10101 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 915, 10855, 1557, 715, 338, 8421, 562, 810, 321, 915, 10855, 1557, 2357, 8208, 339, 23176, 1592, 324, 2529, 1539, 1108, 10749, 910, 24205, 543, 15215, 7170, 20099, 7822, 28951, 2433, 24205, 543, 15215, 4828, 910, 901, 1957, 568, 689, 513, 18216, 4301, 15594, 779, 269, 2171, 723, 1044, 1603, 15257, 3594, 543, 1382, 4574, 2094, 476, 1220, 275, 269, 24205, 540, 4984, 3594, 282, 24205, 540, 7328, 3594, 282, 24205, 540, 960, 3594, 4732, 1539, 1108, 3594, 593, 4984, 4828, 827, 15257, 543, 19795, 540, 4984, 269, 2098, 611, 773, 1159, 603, 4657, 1250, 2247, 17573, 3594, 593, 5718, 12171, 1638, 1257, 540, 834, 5804, 7665, 32544, 281, 10749, 538, 15257, 257, 2598, 23002, 543, 4077, 1143, 320, 267, 476, 26783, 3487, 8633, 281, 23781, 24702, 2473, 299, 634, 4317, 10017, 540, 519, 2622, 9671, 687, 7868, 5843, 1606, 1539, 1108, 540, 15215, 281, 16241, 13756, 267, 11814, 633, 543, 10572, 269, 676, 11969, 718, 19811, 269, 1548, 798, 1004, 798, 950, 789, 798, 4984, 286, 23883, 267, 1018, 1547, 2304, 1557, 610, 1957, 593, 24205, 540, 15215, 538, 4937, 13517, 269, 24205, 540, 15215, 568, 519, 1353, 540, 519, 4978, 267, 590, 8491, 10749, 269, 16440, 707, 3594, 9950, 1087, 904, 24205, 540, 15215, 269, 24205, 540, 15215, 11000, 4967, 269, 519, 15257, 540, 4984, 568, 849, 7255, 609, 1480, 5872, 20136, 1863, 24205, 1557, 593, 4828, 281, 24205, 568, 3501, 1044, 1524, 547, 5198, 610, 4984, 4929, 635, 270, 612, 904, 4882, 1539, 1108, 270, 22967, 1606, 1539, 1108, 563, 30348, 894, 5098, 3948, 827, 3854, 10751, 454, 323, 1170, 10488, 581, 320, 636, 1105, 9820, 544, 926, 720, 4453, 16619, 454, 8586, 707, 14172, 1557, 0, 1607, 6648, 676, 29122, 15470, 568, 2943, 1776, 1434, 1383, 540, 11052, 538, 519, 2034, 1899, 267, 519, 10564, 3096, 4158, 2395, 267, 799, 568, 606, 3236, 540, 519, 946, 540, 3308, 11052, 538, 519, 8772, 1899, 267, 519, 11953, 267, 18854, 22363, 3529, 3096, 519, 11052, 540, 8289, 269, 22569, 2044, 568, 519, 2165, 585, 5515, 540, 4633, 610, 1913, 602, 1711, 2178, 2790, 5961, 543, 17915, 1510, 621, 267, 513, 6648, 781, 2093, 3100, 1447, 13267, 547, 519, 5467, 267, 607, 588, 1196, 2072, 6280, 7005, 7548, 24636, 737, 18721, 7867, 32625, 547, 12927, 741, 6835, 267, 15023, 2308, 17391, 267, 31830, 2218, 269, 3509, 1434, 1806, 540, 11052, 543, 27461, 1893, 666, 581, 1336, 538, 5609, 2996, 538, 519, 3946, 540, 606, 14220, 5601, 267, 513, 28005, 517, 9447, 676, 538, 6648, 1948, 7176, 277, 267, 513, 7522, 269, 22569, 2044, 568, 519, 1883, 602, 796, 331, 4169, 519, 1650, 585, 519, 5467, 1776, 1259, 547, 5401, 519, 946, 540, 11052, 568, 547, 1491, 513, 2110, 1650, 267, 2356, 5708, 267, 543, 547, 1900, 883, 519, 1915, 781, 1158, 676, 5373, 1018, 519, 1915, 12034, 563, 3412, 698, 2044, 267, 10852, 569, 2442, 538, 6965, 543, 849, 538, 12416, 267, 666, 581, 1031, 538, 1022, 2186, 540, 3860, 1603, 621, 8591, 593, 519, 15312, 540, 1022, 4062, 540, 1603, 621, 568, 513, 269, 22569, 2044, 2609, 540, 513, 6648, 602, 1045, 5803, 1022, 540, 519, 2947, 12823, 547, 1711, 513, 1305, 540, 2790, 2592, 4481, 267, 1210, 12667, 610, 27461, 1893, 547, 2099, 2093, 267, 3615, 267, 610, 3527, 269, 10906, 24649, 781, 6965, 2242, 4948, 10207, 547, 12667, 11052, 24649, 814, 513, 16994, 3750, 585, 1469, 607, 1352, 17838, 519, 3308, 2592, 602, 1352, 12034, 883, 1913, 540, 19621, 1893, 602, 5932, 12667, 2592, 538, 519, 5467, 781, 2247, 269, 22569, 2044, 1031, 538, 1183, 1846, 262, 9954, 2178, 11052, 568, 519, 4493, 540, 2497, 538, 1082, 9954, 21055, 543, 14165, 673, 11052, 1913, 5351, 519, 5467, 609, 16208, 519, 1292, 563, 1103, 1196, 3258, 782, 534, 1093, 324, 781, 519, 986, 1597, 267, 1093, 324, 11394, 547, 2995, 519, 1650, 540, 606, 30748, 1242, 812, 945, 568, 1253, 571, 9853, 609, 519, 8823, 540, 513, 11537, 2021, 676, 519, 2012, 540, 7003, 648, 269, 22569, 2044, 281, 513, 1455, 2165, 540, 4756, 2495, 267, 11052, 2882, 519, 2790, 5961, 602, 3988, 1995, 609, 513, 8574, 540, 3332, 621, 19752, 782, 519, 10444, 11994, 5219, 547, 538, 513, 6648, 267, 2436, 676, 21055, 6609, 267, 782, 4288, 267, 1138, 850, 267, 610, 14165, 269, 17826, 781, 1893, 6965, 3096, 1893, 538, 1082, 1114, 2081, 676, 711, 6005, 519, 2553, 15023, 946, 609, 11052, 10750, 543, 2241, 267, 11052, 568, 519, 2262, 1031, 547, 269, 31888, 2356, 2270, 2789, 19621, 2474, 543, 3457, 899, 11052, 519, 6965, 1806, 8659, 538, 713, 3135, 1419, 3095, 547, 824, 6965, 3457, 540, 799, 602, 6648, 5713, 607, 606, 1383, 2705, 267, 649, 1683, 2189, 1806, 585, 1142, 6965, 2165, 16382, 2009, 269, 15766, 908, 11052, 543, 13513, 538, 522, 1372, 547, 15489, 875, 798, 519, 2592, 540, 519, 6648, 948, 1711, 513, 4334, 1063, 3350, 543, 1869, 1145, 1183, 1846, 3096, 1454, 1268, 2305, 538, 713, 522, 1372, 563, 3412, 698, 2044, 568, 519, 1184, 540, 1210, 12667, 267, 10855, 1913, 547, 2285, 519, 5467, 513, 2143, 4605, 540, 1018, 568, 2469, 593, 538, 707, 1603, 865, 602, 789, 666, 3362, 4605, 267, 610, 14650, 267, 621, 538, 741, 1378, 2247, 1224, 7366, 540, 9954, 267, 2854, 676, 1762, 1379, 15023, 267, 602, 2308, 11052, 269, 7689, 7650, 1053, 4983, 13275, 1025, 820, 781, 6648, 513, 8914, 3529, 543, 5373, 2893, 534, 608, 738, 532, 936, 552, 557, 267, 7421, 519, 13513, 267, 23199, 267, 543, 11052, 1031, 16269, 2697, 4798, 8268, 538, 519, 6648, 543, 5373, 543, 1287, 2328, 3312, 9954, 827, 519, 1482, 6249, 538, 513, 2413, 6377, 4259, 269, 3794, 27443, 2165, 281, 11052, 11052, 568, 519, 2012, 2016, 547, 519, 2609, 538, 513, 6648, 602, 8141, 1055, 519, 12823, 5103, 3239, 1373, 513, 28395, 585, 4605, 267, 2592, 991, 711, 269, 22569, 2044, 9954, 2630, 616, 1806, 540, 9954, 827, 11052, 713, 1592, 540, 11052, 9954, 568, 7768, 540, 519, 1568, 540, 2413, 3486, 10564, 2818, 540, 6965, 338, 19281, 1224, 2110, 267, 1279, 267, 1655, 267, 4583, 267, 543, 2413, 1806, 540, 11052, 6965, 713, 1592, 540, 1568, 827, 11052, 568, 606, 5140, 4199, 585, 563, 1103, 9378, 639, 646, 2033, 344, 781, 6648, 20857, 267, 519, 10584, 6257, 1010, 11937, 262, 20857, 1210, 11052, 543, 15109, 1010, 1378, 1603, 607, 1010, 1106, 540, 20857, 519, 10584, 5956, 676, 26159, 513, 811, 269, 22569, 2044, 14556, 5809, 519, 1764, 540, 519, 10564, 781, 1913, 607, 646, 2982, 721, 609, 1010, 1913, 2864, 982, 1175, 10213, 721, 1018, 646, 7959, 5152, 18405, 616, 2407, 540, 11052, 713, 568, 606, 21626, 689, 840, 331, 26360, 267, 606, 11052, 6648, 676, 512, 521, 1714, 3999, 596, 666, 3592, 1294, 543, 5873, 519, 7504, 2848, 5446, 543, 16826, 532, 543, 9329, 519, 269, 17826, 676, 29827, 10153, 1853, 267, 1519, 519, 3460, 6965, 676, 29827, 10153, 1853, 519, 3460, 835, 1554, 596, 6368, 6785, 1018, 596, 1185, 547, 798, 267, 543, 3459, 267, 1498, 519, 9739, 269, 22569, 2044, 9954, 891, 9954, 1711, 12667, 5961, 998, 519, 946, 540, 1893, 952, 596, 2972, 513, 1434, 1650, 267, 596, 786, 2648, 713, 2027, 4015, 689, 519, 5830, 693, 1250, 2262, 530, 19123, 563, 3412, 698, 2044, 538, 519, 6648, 616, 972, 6405, 2592, 610, 5961, 602, 519, 10564, 6499, 3988, 547, 1294, 616, 519, 5961, 2813, 676, 1797, 540, 16198, 2443, 585, 3236, 267, 14165, 610, 1138, 850, 269, 22569, 2044, 4214, 267, 519, 5250, 540, 2790, 2592, 267, 5515, 267, 610, 6010, 8864, 525, 540, 1919, 267, 610, 540, 971, 2592, 15217, 281, 519, 3897, 11052, 540, 513, 5326, 1294, 811, 269, 769, 519, 986, 1597, 1196, 3258, 782, 534, 1093, 324, 3096, 11052, 547, 1450, 519, 5467, 547, 4283, 519, 1158, 540, 519, 1762, 10564, 267, 547, 11240, 538, 519, 32408, 1336, 1369, 538, 713, 6648, 1196, 3258, 782, 534, 269, 0, 1692, 547, 1374, 543, 6218, 1382, 538, 2069, 454, 288, 1382, 1374, 568, 3274, 513, 1544, 585, 10647, 1382, 621, 568, 513, 29685, 585, 875, 596, 786, 2932, 707, 1982, 6268, 8939, 519, 3617, 1374, 543, 2324, 998, 543, 11264, 513, 1134, 2219, 856, 7954, 1544, 2488, 513, 2178, 5748, 585, 8236, 513, 3811, 543, 13181, 1982, 6268, 269, 1215, 547, 1374, 543, 6218, 1382, 538, 2069, 2488, 513, 3102, 4367, 547, 3872, 1382, 519, 1257, 6227, 519, 1034, 4922, 1031, 1382, 16097, 543, 11828, 1142, 1900, 538, 519, 1382, 1184, 538, 1469, 1900, 8386, 9912, 2079, 540, 1483, 1382, 2090, 2488, 1053, 269, 1215, 547, 1374, 543, 6218, 1382, 538, 2069, 676, 9808, 523, 30448, 267, 13544, 678, 267, 476, 1220, 274, 267, 26818, 326, 3863, 3620, 650, 2362, 2069, 7160, 267, 538, 7005, 910, 476, 276, 628, 1196, 269, 1215, 547, 1374, 543, 6218, 1382, 538, 2069, 476, 280, 628, 7160, 676, 13544, 9808, 523, 30448, 543, 17404, 26818, 326, 3863, 3620, 650, 2362, 2069, 4688, 909, 547, 476, 3199, 260, 676, 7446, 519, 552, 3667, 1504, 4781, 585, 568, 16818, 281, 476, 7818, 23669, 4281, 274, 16328, 280, 267, 476, 23669, 4281, 274, 16328, 280, 563, 10932, 2409, 568, 513, 1257, 676, 1743, 13171, 9372, 561, 646, 742, 1676, 602, 6212, 593, 519, 9238, 540, 1382, 1374, 543, 519, 2565, 2079, 540, 3318, 1382, 538, 519, 1514, 9443, 689, 3384, 513, 3069, 267, 8939, 5396, 267, 543, 4152, 5396, 547, 7900, 8579, 2079, 543, 1603, 519, 1382, 1867, 269, 4065, 1788, 6268, 910, 1374, 606, 6268, 1907, 281, 6268, 1374, 24920, 606, 6268, 1544, 6054, 519, 3877, 540, 707, 6268, 1374, 2914, 1002, 1344, 596, 991, 547, 1118, 5483, 3664, 543, 875, 596, 786, 979, 827, 11018, 602, 1344, 269, 1215, 547, 1374, 543, 6218, 1382, 538, 2069, 1007, 26294, 26818, 326, 3863, 3620, 650, 3549, 575, 3530, 28478, 787, 575, 630, 2735, 274, 264, 2489, 2069, 2221, 7254, 535, 4920, 8646, 11067, 2023, 561, 5064, 281, 795, 657, 8124, 1532, 817, 21101, 554, 573, 686, 5984, 606, 612, 320, 989, 5886, 630, 1001, 273, 264, 4928, 2359, 1031, 676, 519, 11000, 3464, 540, 14021, 1576, 630, 545, 264, 693, 7005, 2069, 8257, 540, 3450, 2866, 269, 8281, 875, 547, 1374, 543, 6218, 1382, 538, 2069, 875, 547, 1374, 543, 7824, 875, 547, 1711, 7824, 6119, 2870, 513, 7824, 3758, 568, 513, 1390, 1259, 547, 2671, 707, 2093, 543, 547, 1118, 2386, 602, 789, 563, 1805, 534, 5112, 8021, 262, 4013, 2228, 3406, 1907, 585, 2835, 267, 2923, 267, 13746, 267, 12240, 267, 2229, 6054, 543, 811, 269, 30325, 9008, 610, 16979, 3593, 267, 24963, 2327, 519, 3926, 568, 4448, 609, 707, 1018, 338, 1952, 269, 1215, 547, 1374, 543, 6218, 1382, 538, 2069, 5789, 1575, 31703, 4140, 592, 1207, 31343, 4050, 601, 23790, 546, 15401, 19915, 836, 20805, 573, 1731, 534, 737, 776, 320, 13544, 678, 9808, 523, 30448, 267, 2343, 534, 552, 3774, 523, 267, 15854, 927, 523, 554, 1728, 684, 21583, 546, 3438, 4226, 16988, 522, 548, 327, 26818, 1178, 342, 14629, 267, 1007, 26294, 721, 320, 1207, 31343, 538, 328, 1768, 323, 21105, 546, 926, 476, 280, 9126, 1014, 21583, 546, 756, 698, 328, 2367, 329, 14508, 476, 1839, 3777, 267, 586, 7159, 340, 281, 851, 476, 272, 281, 4367, 547, 1382, 519, 2470, 540, 1382, 851, 476, 273, 281, 519, 9238, 540, 3872, 1382, 519, 1382, 269, 19672, 827, 1007, 875, 547, 1374, 543, 6218, 1382, 538, 2069, 476, 1015, 324, 9808, 523, 30448, 476, 1015, 628, 7160, 581, 519, 1101, 547, 2328, 513, 2689, 1007, 875, 547, 1374, 543, 6218, 1382, 538, 2069, 476, 1015, 324, 9808, 523, 30448, 476, 1015, 628, 7160, 6221, 1344, 2783, 281, 6216, 1007, 7274, 281, 476, 279, 2139, 1315, 476, 274, 4421, 269, 9122, 593, 519, 1433, 267, 1299, 875, 547, 1374, 543, 6218, 1382, 538, 2069, 476, 279, 628, 7160, 267, 676, 9808, 523, 30448, 267, 3774, 523, 267, 1728, 684, 1931, 713, 1557, 1934, 1631, 543, 1205, 513, 10958, 649, 616, 519, 3056, 4081, 10467, 1603, 2754, 267, 4444, 713, 7084, 610, 1022, 824, 7084, 689, 721, 543, 649, 786, 10018, 606, 513, 266, 3446, 563, 1692, 547, 1374, 543, 6218, 1382, 538, 2069, 2488, 513, 3102, 4367, 547, 3872, 1382, 519, 1257, 6227, 519, 1034, 4922, 1031, 1382, 16097, 543, 11828, 1142, 1900, 538, 519, 1382, 1184, 538, 1469, 269, 3848, 476, 279, 6268, 1382, 1374, 281, 3681, 10442, 2069, 1299, 2866, 2533, 281, 513, 29194 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 5856, 267, 3217, 721, 593, 5339, 15322, 4904, 609, 9644, 267, 4987, 267, 543, 18854, 269, 2060, 1200, 16994, 7422, 543, 15931, 18340, 267, 1352, 21810, 8723, 3871, 883, 9058, 8090, 269, 1403, 596, 2648, 1565, 1945, 1007, 1247, 28617, 856, 10978, 267, 1287, 4432, 604, 15506, 3861, 779, 2835, 616, 3501, 585, 596, 2439, 303, 523, 601, 2100, 700, 1947, 267, 513, 3703, 2278, 267, 17134, 1218, 3988, 609, 1200, 27610, 9423, 538, 1312, 2407, 27480, 9089, 543, 2110, 2984, 269, 6787, 1352, 779, 18167, 883, 519, 10848, 540, 1480, 2470, 610, 6313, 519, 14960, 540, 3965, 267, 1200, 1913, 2141, 4734, 606, 30170, 1665, 593, 1346, 945, 4497, 609, 873, 269, 1955, 21670, 3054, 538, 1200, 8941, 543, 3605, 1946, 1352, 779, 2808, 513, 4487, 540, 1200, 4739, 780, 15563, 267, 962, 12011, 684, 9149, 8843, 1200, 7415, 1272, 3460, 998, 1200, 2295, 325, 3881, 29946, 269, 18004, 538, 3624, 543, 1631, 2713, 538, 3013, 267, 1352, 3091, 4030, 883, 11776, 267, 2790, 1072, 267, 543, 4466, 835, 779, 1747, 538, 519, 1158, 269, 4173, 6151, 19969, 5713, 607, 6667, 585, 4896, 5275, 24176, 610, 5583, 1282, 4101, 2053, 780, 2026, 596, 666, 1294, 267, 2542, 10741, 9885, 547, 9118, 7399, 543, 12857, 596, 547, 9058, 1004, 267, 4025, 267, 543, 2093, 269, 1924, 4584, 909, 513, 1433, 2221, 543, 1376, 3695, 782, 519, 9735, 10600, 7996, 1175, 585, 596, 256, 0, 2080, 568, 606, 1349, 689, 513, 2546, 912, 257, 7212, 476, 1001, 277, 814, 20335, 513, 3983, 22850, 267, 972, 941, 267, 693, 519, 1360, 2547, 267, 513, 2603, 540, 5140, 2835, 3370, 269, 1809, 713, 1032, 256, 7734, 689, 6723, 590, 16184, 619, 267, 681, 2135, 2033, 22985, 267, 670, 926, 31311, 345, 745, 267, 808, 8160, 269, 3213, 28856, 2465, 267, 24981, 595, 23677, 267, 20908, 332, 2106, 24156, 286, 589, 4503, 12377, 676, 19863, 324, 21025, 599, 286, 589, 3209, 676, 4432, 604, 15506, 3861, 286, 10374, 2984, 676, 6755, 601, 2100, 700, 1947, 286, 589, 17728, 676, 962, 12011, 684, 9149, 286, 7734, 689, 1100, 7864, 982, 2185, 7085, 687, 5234, 619, 286, 898, 781, 513, 21649, 269, 1284, 4126, 519, 1739, 1592, 540, 476, 3199, 1606, 15036, 14232, 2835, 533, 10134, 596, 909, 585, 519, 630, 14140, 3368, 540, 519, 264, 1007, 1032, 269, 1411, 3513, 5469, 602, 649, 4312, 556, 10687, 321, 1441, 938, 5708, 543, 15923, 8638, 267, 10771, 5708, 607, 538, 519, 2250, 269, 1656, 267, 11173, 513, 2245, 649, 3323, 713, 2887, 267, 649, 3513, 581, 3257, 9910, 12744, 338, 693, 519, 4098, 540, 1142, 3923, 4534, 1577, 721, 917, 952, 972, 616, 824, 1919, 649, 1058, 581, 3168, 4464, 547, 269, 630, 2252, 596, 616, 513, 2462, 10178, 540, 938, 1979, 268, 2335, 783, 2776, 1613, 338, 543, 1265, 3054, 13288, 547, 873, 1032, 15778, 267, 5225, 2015, 5885, 938, 3646, 676, 4742, 513, 4759, 14386, 5130, 5262, 2159, 6468, 676, 681, 2135, 2033, 22985, 281, 22985, 814, 1185, 606, 3010, 2237, 606, 2502, 543, 3015, 1576, 1770, 538, 513, 1837, 585, 1647, 1153, 1053, 1644, 547, 519, 1349, 1657, 269, 634, 1543, 1058, 581, 3358, 585, 1647, 1153, 1053, 1510, 1991, 1702, 540, 519, 1888, 780, 2521, 547, 1384, 268, 3629, 2143, 3137, 267, 2057, 2930, 3822, 267, 543, 1459, 519, 2093, 538, 513, 3551, 267, 2239, 3159, 563, 268, 3417, 1806, 547, 1118, 519, 1641, 3839, 543, 3078, 585, 1762, 1647, 1153, 1053, 563, 268, 3680, 4304, 519, 1357, 1349, 538, 519, 1837, 269, 1684, 711, 1331, 513, 2140, 610, 2606, 2453, 269, 3399, 1603, 519, 1543, 2047, 269, 0, 8080, 547, 938, 3992, 827, 2462, 9541, 543, 875, 789, 666, 1689, 4872, 256, 4653, 267, 649, 3513, 2263, 513, 4241, 1383, 827, 4566, 547, 2087, 513, 851, 540, 595, 1251, 267, 8581, 1634, 607, 519, 834, 309, 1112, 20187, 22588, 1701, 589, 1895, 1572, 26344, 12182, 1564, 17290, 6499, 547, 1902, 24843, 2004, 2929, 630, 7474, 781, 936, 1269, 6321, 2929, 14386, 883, 713, 1858, 269, 2913, 781, 4685, 4514, 883, 1018, 602, 1797, 543, 1946, 621, 781, 865, 3579, 2439, 5331, 596, 723, 930, 2724, 10710, 909, 267, 543, 596, 1616, 547, 946, 621, 547, 1628, 1945, 2731, 2027, 538, 707, 4884, 1765, 31138, 602, 1004, 786, 2972, 9683, 543, 1210, 585, 1296, 547, 2097, 269, 2334, 781, 4010, 1018, 26344, 12182, 1564, 17290, 568, 3257, 256, 1358, 1378, 1614, 20730, 2907, 267, 855, 1631, 789, 1616, 547, 1711, 1256, 811, 5624, 585, 8436, 547, 3251, 1247, 3695, 595, 1251, 780, 2467, 616, 1079, 2694, 547, 741, 1544, 269, 3689, 267, 789, 1616, 547, 22058, 622, 630, 25785, 909, 264, 543, 4228, 630, 24708, 8273, 264, 519, 4540, 5450, 1886, 1961, 23392, 269, 901, 1797, 21130, 922, 1374, 267, 1818, 2386, 3388, 1568, 1134, 267, 543, 4946, 811, 11623, 585, 14538, 269, 6056, 827, 952, 596, 1185, 606, 2025, 11442, 602, 596, 6068, 267, 855, 621, 2877, 930, 18203, 543, 3063, 4773, 547, 1118, 621, 1256, 1732, 269, 1411, 1223, 2285, 621, 513, 4195, 10359, 540, 5862, 267, 4368, 1022, 7745, 2694, 267, 543, 1039, 1187, 17960, 547, 3986, 707, 1404, 5503, 1995, 269, 2334, 781, 899, 1018, 781, 8345, 609, 519, 5450, 1886, 1961, 23392, 2439, 30772, 267, 26344, 12182, 1564, 17290, 814, 4566, 547, 4020, 630, 28265, 264, 513, 6216, 20642, 15678, 7404, 269, 898, 786, 581, 2413, 543, 31042, 267, 13267, 547, 1346, 945, 2648, 31933, 6272, 269, 5994, 2348, 513, 21743, 1007, 31942, 602, 814, 1175, 1044, 5950, 22924, 5654, 5863, 267, 7959, 1390, 547, 3180, 267, 543, 2501, 14095, 609, 2934, 1100, 824, 3926, 814, 269, 2334, 781, 2147, 547, 1018, 1412, 763, 631, 262, 15678, 786, 2709, 2439, 4322, 1079, 20730, 4465, 1405, 1175, 1796, 4805, 282, 789, 3513, 581, 4448, 998, 13123, 269, 2290, 786, 581, 1500, 540, 4837, 267, 3850, 4190, 5784, 1063, 1312, 5656, 269, 6271, 835, 786, 1921, 1412, 763, 631, 262, 15678, 547, 519, 5450, 1886, 1961, 23392, 693, 519, 1101, 6989, 1377, 267, 4758, 14538, 2653, 1569, 547, 782, 2139, 29319, 269, 16514, 8220, 1079, 6181, 334, 5036, 1927, 16900, 267, 2870, 513, 3677, 2497, 2407, 540, 7399, 780, 5472, 891, 9283, 1611, 972, 786, 581, 1472, 476, 6110, 1007, 15678, 11623, 538, 519, 2295, 540, 595, 1251, 781, 3140, 10116, 269, 9578, 267, 789, 2811, 849, 2679, 513, 1804, 11895, 18736, 25880, 1572, 513, 834, 29602, 25810, 1286, 6288, 2437, 4180, 7899, 540, 2230, 585, 3025, 9683, 519, 1858, 780, 1103, 5758, 267, 950, 2576, 16976, 547, 1118, 513, 1713, 5092, 899, 713, 538, 513, 2749, 267, 621, 6770, 2318, 2242, 543, 10761, 269, 3502, 1152, 1281, 621, 948, 4482, 14666, 267, 855, 621, 849, 5932, 6009, 543, 25242, 2199, 4213, 269, 1924, 1985, 942, 596, 1294, 1835, 6951, 610, 4600, 22058, 908, 513, 2679, 538, 707, 4884, 267, 3314, 519, 1761, 1434, 1919, 602, 1522, 2097, 856, 540, 971, 3785, 269, 3767, 979, 6619, 543, 2671, 713, 1650, 609, 707, 2828, 267, 7234, 2081, 596, 1131, 26016, 1125, 2127, 538, 707, 2146, 256, 0, 2080, 568, 606, 1349, 689, 513, 2546, 912, 257, 5522, 753, 585, 513, 24843, 2004, 2929, 5092, 538, 519, 5450, 1886, 1961, 23392, 676, 26344, 12182, 1564, 17290, 1107, 519, 5411, 540, 519, 5450, 1886, 1961, 23392, 267, 595, 1251, 4139, 23392, 543, 595, 1251, 23076, 23392, 1107, 2099, 513, 2189, 1646, 4316, 267, 15202, 513, 25174, 538, 595, 1251, 2749, 779, 8978, 16972, 22588, 563, 307, 3419, 517, 12182, 1564, 17290, 786, 16172, 10505, 513, 4058, 3498, 547, 595, 1251, 4975, 7027, 585, 519, 11599, 1788, 799, 786, 1331, 519, 6213, 1201, 7875, 7321, 543, 7269, 540, 519, 5450, 1886, 1961, 15678, 267, 1927, 609, 519, 4070, 540, 513, 1007, 267, 4207, 4683, 15678, 1572, 2048, 763, 631, 8730, 799, 786, 581, 3710, 593, 606, 11105, 3135, 2282, 4498, 2917, 9335, 563, 763, 1079, 20730, 786, 581, 5532, 676, 513, 4837, 2545, 755, 8565, 8115, 2066, 4498, 2917, 9335, 267, 609, 606, 20583, 8115, 693, 1101, 6989, 1377, 267, 16046, 2048, 763, 631, 685, 15678, 547, 519, 5450, 1886, 1961, 23392, 3246, 2653, 1569, 585, 14538, 547, 782, 15678, 6703, 269, 634, 2949, 1646, 786, 5838, 811, 982, 476, 6110, 15678, 5127, 7741, 538, 519, 2295, 540, 519, 8978, 16972, 22588, 267, 538, 1840, 547, 513, 5595, 25810, 1286, 17328, 3010, 2237, 606, 2502, 543, 3015, 1576, 1770, 538, 513, 1837, 585, 1647, 1153, 1053, 1644, 547, 519, 1349, 1657, 269, 634, 1543, 1058, 581, 3358, 585, 1647, 1153, 1053, 1510, 1991, 1702, 540, 519, 1888, 780, 2521, 547, 1384, 268, 3629, 2143, 3137, 267, 2057, 2930, 3822, 267, 543, 1459, 519, 2093, 538, 513, 3551, 267, 2239, 3159, 563, 268, 3417, 1806, 547, 1118, 519, 1641, 3839, 543, 3078, 585, 1762, 1647, 1153, 1053, 563, 268, 3680, 4304, 519, 1357, 1349, 538, 519, 1837, 269, 1684, 711, 1331, 513, 2140, 610, 2606, 2453, 269, 3399, 1603, 519, 1543, 2047, 269, 0, 4495, 2390, 513, 942, 267, 972, 729, 513, 7874, 14368, 6048, 3957, 15608, 31864, 974, 269, 15608, 6068, 4974, 519, 4365, 543, 4687, 1018, 646, 4121, 609, 1866, 269, 1879, 646, 4718, 2462, 15420, 4947, 267, 646, 1131, 2995, 3025, 547, 3251, 2922, 3330, 780, 3080, 1554, 267, 15608, 4862, 602, 513, 2462, 6777, 10445, 729, 4947, 269, 1261, 6785, 621, 729, 2469, 547, 581, 513, 834, 572, 3164, 4365, 2680, 1701, 2334, 1797, 621, 781, 513, 2731, 2178, 2186, 540, 7088, 269, 898, 1522, 1118, 1004, 1745, 18901, 610, 14126, 269, 1809, 267, 1175, 899, 950, 649, 5957, 938, 4764, 1723, 1846, 1282, 513, 2370, 17643, 267, 972, 616, 1919, 649, 666, 798, 547, 3251, 2922, 1282, 4049, 4365, 2621, 1932, 2439, 297, 4141, 4941, 547, 948, 1004, 1174, 811, 827, 713, 6777, 10445, 267, 865, 646, 5249, 2182, 547, 1711, 1187, 7044, 543, 5961, 7713, 875, 1454, 6777, 547, 2503, 543, 875, 1279, 621, 1131, 2063, 269, 3973, 267, 646, 3838, 891, 609, 7641, 10473, 782, 936, 519, 1747, 256, 634, 7641, 14368, 5505, 1031, 873, 547, 1397, 3214, 543, 6738, 13522, 1018, 789, 2877, 547, 917, 1354, 519, 6777, 8452, 780, 2710, 596, 3314, 4730, 3544, 593, 513, 6777, 344, 1554, 286, 4270, 267, 4952, 952, 972, 941, 14298, 631, 308, 6224, 19301, 8582, 602, 596, 7948, 1405, 1256, 1294, 707, 3659, 7555, 1318, 1985, 547, 596, 256, 6884, 267, 4049, 6777, 28323, 1572, 834, 4565, 11170, 1841, 257, 3142, 602, 1454, 6777, 269, 1358, 849, 2097, 609, 2706, 2178, 12798, 602, 9514, 519, 6777, 1472, 543, 1118, 621, 2182, 547, 1294, 4376, 269, 2334, 781, 1946, 621, 781, 1271, 547, 6432, 547, 15608, 543, 519, 824, 14368, 5505, 950, 789, 2161, 547, 3251, 16280, 1282, 513, 1025, 11170, 731, 910, 649, 1810, 1405, 1616, 4896, 3478, 4503, 538, 782, 602, 6777, 2439, 3086, 267, 1577, 781, 1589, 827, 1776, 1826, 540, 4049, 4365, 2680, 281, 24377, 269, 15049, 21814, 616, 3532, 15420, 602, 1106, 936, 12084, 543, 3142, 6266, 540, 2842, 6730, 4764, 269, 5994, 1373, 9575, 3544, 1247, 835, 540, 1346, 16125, 256, 1411, 9364, 1205, 27762, 2476, 676, 519, 18979, 12798, 543, 546, 27221, 676, 519, 5230, 4764, 269, 3807, 899, 609, 1025, 11170, 1841, 267, 621, 781, 2629, 547, 2628, 3007, 547, 519, 14368, 5505, 1282, 19996, 4005, 269, 1403, 789, 2161, 835, 568, 4947, 267, 621, 781, 1655, 547, 3251, 18241, 3330, 2394, 621, 10596, 780, 299, 3089, 1176, 267, 15608, 31864, 974, 6026, 721, 1082, 2081, 547, 5965, 585, 4049, 4365, 2621, 998, 7641, 2982, 543, 3872, 2326, 269, 1635, 6616, 1018, 547, 798, 6619, 540, 942, 267, 649, 666, 1832, 6000, 267, 2828, 267, 543, 1920, 2818, 2922, 950, 2462, 15420, 5066, 538, 269, 1656, 3884, 1405, 621, 5863, 602, 2576, 899, 15608, 4991, 547, 1353, 1945, 607, 3579, 607, 519, 4365, 1169, 2582, 1554, 286, 9320, 14693, 9358, 786, 1831, 8049, 827, 2470, 543, 3605, 1007, 2081, 547, 1451, 827, 543, 2671, 922, 13300, 2439, 3383, 3314, 267, 2436, 621, 781, 986, 1456, 267, 26124, 267, 610, 6777, 532, 3544, 267, 972, 781, 2141, 1945, 4277, 8345, 538, 519, 6607, 1657, 721, 269, 5901, 6998, 2055, 267, 3695, 267, 543, 1565, 827, 519, 6909, 1158, 1472, 596, 256, 0, 2080, 568, 606, 1349, 689, 513, 2546, 281, 834, 297, 4141, 31864, 974, 568, 513, 5449, 14368, 6048, 543, 2257, 3868, 1807, 945, 814, 1185, 513, 7415, 4876, 538 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 520, 9366, 262, 1281, 711, 27167, 602, 519, 13144, 540, 513, 9608, 9861, 616, 8209, 3186, 1192, 1043, 543, 1875, 268, 564, 1716, 531, 865, 607, 547, 15936, 6038, 609, 519, 18163, 14496, 540, 519, 28174, 553, 269, 1306, 5018, 538, 29447, 583, 328, 910, 519, 28174, 553, 616, 519, 1360, 7362, 540, 519, 31597, 18266, 610, 23347, 2006, 282, 28174, 553, 616, 3976, 3361, 543, 2813, 267, 538, 519, 2631, 540, 23314, 630, 822, 597, 321, 327, 6072, 264, 676, 23347, 2006, 267, 519, 9608, 23347, 2006, 267, 945, 568, 1863, 689, 1169, 7872, 540, 8919, 543, 5470, 543, 568, 519, 18678, 6392, 263, 2194, 320, 1040, 4935, 267, 519, 28174, 553, 616, 3976, 538, 966, 718, 629, 327, 924, 6138, 267, 9444, 533, 4768, 2224, 5984, 630, 2254, 2813, 676, 1022, 1373, 264, 6862, 3284, 4768, 2224, 5984, 630, 553, 966, 20364, 568, 519, 1106, 540, 23347, 2006, 799, 568, 18163, 1040, 28174, 553, 616, 519, 7784, 320, 268, 745, 11985, 540, 23347, 2006, 543, 3976, 1175, 899, 23347, 2006, 267, 28174, 553, 616, 849, 18163, 269, 28174, 553, 616, 1582, 268, 650, 636, 3215, 543, 666, 1152, 13148, 8915, 538, 519, 8186, 540, 2893, 339, 341, 11986, 7919, 630, 328, 4318, 269, 681, 880, 529, 264, 538, 519, 1533, 540, 7663, 611, 6062, 563, 299, 3907, 2065, 6138, 540, 966, 14037, 6478, 454, 763, 1657, 4901, 827, 519, 2470, 540, 28174, 553, 543, 741, 1102, 718, 1043, 14496, 5012, 721, 547, 519, 1985, 1271, 1966, 267, 519, 1966, 540, 519, 10409, 2792, 5473, 1318, 1620, 540, 519, 2495, 540, 1913, 543, 5220, 607, 28078, 676, 873, 269, 2353, 519, 1614, 3344, 540, 1412, 14588, 3663, 262, 642, 714, 519, 5022, 630, 12534, 3534, 1070, 519, 2262, 630, 335, 3385, 264, 543, 519, 4845, 630, 341, 752, 5984, 264, 616, 8449, 18163, 543, 4061, 6209, 538, 1169, 2463, 269, 1717, 267, 621, 568, 519, 4845, 267, 799, 568, 606, 31174, 720, 540, 1913, 267, 602, 568, 22192, 540, 513, 2407, 518, 543, 2347, 2495, 1498, 621, 1131, 581, 2192, 16479, 547, 32230, 540, 621, 538, 10072, 540, 519, 1913, 269, 769, 4641, 267, 519, 4845, 568, 2141, 538, 572, 704, 762, 689, 922, 1913, 602, 1106, 519, 1898, 2474, 540, 922, 2495, 269, 4475, 267, 519, 5022, 267, 519, 1913, 543, 519, 5220, 267, 1142, 540, 799, 568, 18163, 585, 1373, 519, 23314, 540, 23347, 2006, 568, 9176, 609, 543, 22192, 540, 2495, 269, 634, 1360, 2856, 540, 782, 20814, 811, 610, 1447, 4644, 547, 1022, 835, 540, 873, 568, 13061, 543, 2495, 1652, 269, 769, 966, 718, 629, 327, 781, 1062, 267, 1312, 519, 31717, 630, 12112, 7701, 264, 543, 519, 9864, 630, 4621, 12371, 540, 2694, 264, 3344, 540, 17939, 6767, 616, 6444, 593, 519, 4493, 540, 519, 14985, 540, 5164, 3291, 17495, 327, 1301, 553, 2001, 520, 9366, 269, 5272, 4845, 9275, 676, 721, 568, 267, 538, 4641, 267, 606, 19039, 766, 540, 2696, 945, 568, 1010, 10143, 7328, 14753, 873, 998, 721, 269, 4475, 267, 782, 5220, 267, 581, 789, 642, 4660, 11986, 610, 561, 879, 330, 11986, 616, 519, 5220, 540, 519, 2696, 269, 1809, 971, 513, 3069, 1131, 1611, 513, 2347, 3045, 592, 618, 540, 519, 11984, 1063, 1412, 20777, 262, 543, 1412, 514, 20777, 262, 543, 1522, 1175, 6961, 602, 5470, 928, 748, 9794, 906, 267, 1373, 5220, 9275, 676, 2696, 267, 616, 849, 11613, 4570, 269, 634, 2626, 547, 713, 1966, 568, 602, 1498, 519, 2898, 540, 1893, 568, 513, 23314, 543, 642, 1731, 761, 328, 540, 1412, 25537, 3299, 519, 10700, 26453, 6767, 267, 519, 7915, 14496, 540, 513, 4845, 952, 3857, 7007, 676, 519, 7681, 540, 971, 1480, 12889, 607, 1642, 4288, 630, 321, 327, 18769, 1070, 2790, 22178, 1465, 630, 335, 1090, 3385, 264, 1102, 716, 6672, 630, 341, 760, 1537, 2354, 320, 264, 543, 13546, 11797, 540, 12823, 269, 898, 568, 1813, 547, 519, 7681, 540, 519, 12889, 267, 602, 519, 20244, 4570, 4845, 568, 10736, 883, 606, 23380, 543, 5470, 928, 748, 27790, 269, 769, 1010, 10143, 7328, 267, 519, 7083, 11731, 610, 10703, 1023, 519, 824, 2495, 540, 513, 1412, 5320, 262, 543, 28107, 1152, 602, 799, 568, 1031, 538, 8723, 27217, 1612, 28917, 3976, 2870, 513, 11984, 1063, 519, 10096, 540, 1114, 1412, 6919, 3299, 1412, 24393, 262, 543, 1412, 338, 550, 1878, 262, 585, 27217, 6165, 269, 2353, 1913, 610, 5220, 616, 267, 538, 4641, 267, 4412, 8215, 676, 2696, 781, 2019, 819, 543, 789, 6038, 3277, 547, 13924, 18549, 998, 519, 7961, 10179, 762, 4408, 543, 3029, 676, 799, 1261, 5039, 531, 3278, 13924, 1345, 269, 634, 28174, 553, 543, 519, 17939, 6767, 998, 741, 7915, 1494, 1890, 6038, 4766, 23347, 2006, 543, 3571, 22505, 538, 1585, 2081, 563, 5472, 5220, 540, 519, 28174, 553, 723, 3160, 14496, 454, 2304, 1271, 2243, 602, 7031, 909, 568, 2436, 782, 966, 14037, 1913, 543, 5220, 616, 8449, 4570, 610, 711, 269, 4340, 547, 966, 718, 629, 3873, 267, 782, 966, 14037, 1913, 267, 5220, 267, 818, 628, 822, 27885, 267, 538, 1312, 918, 12609, 10275, 7701, 543, 21859, 3570, 10275, 7701, 13980, 540, 28174, 553, 267, 616, 8449, 4570, 543, 972, 568, 1100, 24134, 538, 6236, 519, 835, 607, 3119, 543, 519, 824, 607, 6281, 269, 634, 28174, 553, 607, 513, 2898, 1519, 519, 6341, 327, 26320, 267, 1488, 1415, 752, 553, 267, 543, 519, 772, 20725, 6758, 1775, 4318, 269, 1312, 918, 12609, 10275, 7701, 543, 808, 333, 3570, 10275, 7701, 1058, 581, 8499, 6594, 585, 13844, 513, 1697, 5813, 883, 519, 10700, 2470, 540, 18266, 269, 4340, 547, 966, 718, 629, 3873, 267, 918, 12609, 2173, 574, 4461, 320, 568, 711, 21087, 2065, 547, 808, 333, 3570, 2173, 574, 4461, 320, 607, 9277, 676, 6341, 330, 4673, 282, 538, 5168, 267, 519, 1079, 631, 574, 4461, 553, 616, 14911, 543, 20102, 5363, 563, 763, 4406, 7190, 540, 11310, 538, 966, 718, 629, 3873, 1153, 540, 28174, 9017, 454, 1432, 568, 519, 10018, 602, 1702, 607, 4299, 676, 519, 5106, 540, 891, 533, 1090, 11446, 630, 1889, 753, 540, 1702, 264, 568, 4570, 693, 782, 286, 769, 824, 1913, 267, 875, 666, 835, 581, 2386, 519, 1702, 267, 538, 4641, 267, 568, 32514, 894, 540, 519, 1483, 3197, 267, 16551, 543, 1106, 540, 922, 1843, 286, 6496, 713, 22979, 9114, 538, 519, 1360, 2470, 540, 519, 3812, 1702, 3294, 610, 568, 621, 547, 581, 642, 13224, 338, 2378, 539, 676, 2104, 1351, 13681, 2610, 609, 824, 2959, 543, 2175, 286, 901, 1966, 540, 519, 14496, 540, 1702, 267, 607, 22294, 540, 4095, 26381, 1670, 2079, 267, 814, 1044, 12193, 538, 519, 1114, 10952, 1949, 676, 759, 15659, 547, 835, 540, 519, 2185, 4244, 3435, 563, 268, 5776, 3144, 676, 6341, 330, 1506, 553, 281, 634, 6341, 330, 1506, 553, 3494, 602, 1312, 519, 14496, 543, 1045, 531, 7190, 540, 519, 1702, 568, 1582, 3491, 1386, 630, 12364, 1092, 327, 994, 268, 5776, 3144, 676, 715, 2967, 344, 599, 1731, 553, 281, 634, 715, 2967, 344, 599, 1731, 553, 3494, 602, 1312, 14496, 543, 1045, 531, 7190, 540, 519, 1702, 814, 547, 581, 20240, 608, 27238, 543, 998, 824, 2959, 630, 1706, 1092, 327, 1916, 268, 5776, 3144, 676, 13391, 3291, 13757, 281, 634, 13391, 3291, 13757, 1589, 602, 1412, 514, 1998, 7190, 262, 568, 1582, 17272, 1211, 6466, 1412, 1998, 7190, 262, 568, 9863, 608, 27238, 630, 1706, 1092, 327, 1916, 268, 5776, 3144, 676, 631, 574, 4461, 752, 553, 630, 18485, 1625, 9366, 543, 579, 1777, 4673, 2567, 634, 3610, 540, 966, 20364, 267, 602, 568, 631, 574, 4461, 752, 553, 2226, 602, 14496, 568, 1582, 3491, 1386, 855, 1045, 531, 7190, 3340, 5007, 6169, 563, 268, 5776, 3144, 676, 966, 718, 629, 3873, 281, 634, 966, 718, 629, 327, 924, 3069, 593, 519, 2243, 540, 519, 14496, 540, 1702, 568, 899, 513, 2021, 945, 568, 3368, 1762, 543, 3368, 2025, 282, 519, 1483, 2953, 2626, 547, 713, 1966, 568, 547, 11760, 602, 1498, 1702, 568, 20244, 1582, 268, 20777, 2943, 1141, 621, 568, 3361, 543, 568, 896, 519, 3310, 540, 3965, 922, 14496, 1058, 581, 4956, 1152, 1310, 30599, 4011, 908, 922, 11240, 725, 609, 824, 970, 8735, 748, 630, 6781, 268, 2169, 571, 264, 20209, 1878, 267, 2175, 543, 5013, 540, 1702, 1317, 13829, 593, 3965, 543, 519, 2250, 1606, 4461, 22894, 553, 1360, 1419, 5012, 711, 1152, 547, 23696, 2534, 855, 547, 1642, 4288, 1932, 269, 4935, 267, 519, 14496, 540, 1702, 827, 1022, 1995, 762, 1843, 630, 24792, 2033, 264, 1058, 581, 24019, 676, 824, 970, 8735, 748, 20209, 1878, 269, 1717, 267, 2094, 23347, 2006, 568, 1152, 1995, 762, 676, 2893, 339, 341, 11986, 12823, 267, 519, 1152, 1259, 547, 19472, 519, 1702, 827, 13924, 568, 998, 28174, 553, 676, 6236, 621, 607, 1582, 268, 20777, 269, 0, 294, 1905, 515, 928, 910, 513, 1395, 565, 9707, 540, 3327, 8444, 29822, 14095, 538, 513, 9932, 18474, 24775, 910, 729, 9678, 585, 519, 1101, 942, 538, 476, 1220, 275, 543, 267, 2094, 1287, 267, 814, 3964, 3294, 607, 835, 540, 519, 1034, 7415, 2326, 2139, 547, 27772, 2339, 3744, 2221, 269, 7869, 25221, 513, 2898, 8552, 540, 6419, 9259, 538, 22130, 267, 1519, 1896, 6127, 585, 17271, 7542, 668, 24599, 1143, 543, 8095, 268, 867, 1359, 2360, 602, 8451, 1813, 547, 922, 1970, 1673, 574, 3290, 1275, 543, 3810, 8966, 5907, 3601, 630, 324, 3052, 269, 4144, 2350, 6438, 8552, 1040, 769, 713, 8097, 960, 267, 590, 12702, 2839, 630, 21841, 17238, 532, 17747, 3955, 12401, 27620, 264, 6419, 7403, 723, 1044, 5645, 856, 538, 22130, 22495, 919, 609, 13999, 909, 547, 9881, 486, 8406, 5833, 676, 24318, 21319, 608, 9110, 2747, 540, 3810, 20218, 7510, 26299, 6776, 27948, 630, 295, 8008, 294, 264, 538, 715, 2173, 14007, 1790, 10455, 1503, 573, 821, 630, 301, 6573, 1040, 2480, 8911, 6475, 22794, 630, 306, 4932, 264, 543, 2473, 11920, 32250, 6901, 7000, 602, 519, 22495, 919, 616, 1500, 540, 1232, 537, 9482, 22130, 16358, 2572, 609, 6093, 1166, 820, 2450, 2630, 476, 2004, 16354, 269, 26994, 3196, 22794, 630, 28425, 300, 264, 7403, 5645, 856, 585, 22130, 7080, 5014, 24797, 5196, 513, 13961, 302, 273, 14041, 4847, 519, 6284, 540, 6094, 16358, 2572, 1997, 762, 547, 2582, 543, 5595, 2000, 9707, 22130, 269, 2473, 11920, 12165, 633, 28264, 630, 311, 27184, 264, 543, 6475, 12165, 633, 32250, 630, 3633, 311, 264, 9672, 519, 22495, 919, 3114, 19454, 609, 9000, 540, 8407, 543, 5924, 6419, 538, 7501, 269, 623, 2077, 710, 22495, 919, 8858, 4354, 773, 4164, 24599, 1143, 18476, 2630, 9881, 486, 476, 2004, 918, 267, 799, 8309, 547, 827, 835, 4090, 829, 16358, 924, 693, 476, 273, 918, 269, 634, 22495, 919, 616, 9244, 5603, 8568, 267, 4352, 513, 6175, 540, 519, 5603, 8568, 18687, 676, 827, 1614, 2053, 609, 2463, 547, 27948, 729, 4767, 585, 4610, 4294, 13902, 569, 547, 519, 705, 7077, 269, 634, 1482, 22130, 22495, 919, 941, 6964, 607, 513, 4704, 1062, 547, 1353, 11275, 1143, 540, 1448, 12889, 267, 971, 607, 14806, 710, 740, 520, 1682, 543, 7477, 17473, 6383, 998, 9357, 23735, 2747, 269, 634, 796, 3711, 27631, 8095, 1871, 808, 284, 272, 270, 273, 1336, 585, 1312, 2249, 540, 12889, 25495, 7811, 6788, 269, 769, 519, 2013, 540, 14806, 710, 8444, 513, 6419, 4090, 540, 476, 272, 18725, 289, 829, 9881, 486, 476, 1911, 271, 740, 520, 1682, 729, 5833, 267, 2404, 547, 519, 12402, 540, 14806, 710, 547, 12440, 538, 22130, 269, 28820, 17473, 3812, 513, 1871, 540, 519, 6419, 4090, 1454, 6251, 547, 519, 4397, 476, 272, 18725, 289, 585, 1448, 12889, 269, 3143, 1129, 540, 8919, 1644, 7542, 668, 24599, 1143, 729, 4767, 269, 2201, 519, 824, 1688, 267, 938, 1353, 5340, 593, 24857, 5336, 31813, 670, 8008, 294, 14848, 630, 1492, 1482, 7550, 585, 519, 21753, 540, 938, 22130, 22495, 919, 1070, 7000, 7542, 11424, 6786, 909, 547, 476, 274, 4501, 503, 1015, 268, 274, 900, 340, 17320, 269, 645, 2931, 322, 30568, 6475, 22794, 630, 18778, 1070, 5340, 7258, 11581, 311, 3114, 2079, 267, 9672, 602, 519, 4767, 6419, 7180, 568, 1813, 547, 7542, 11424, 538, 7501, 267, 971, 607, 11275, 924, 543, 5707, 8457, 2173, 24599, 924, 269, 4475, 267, 4617, 543, 14605, 10063, 24862, 7542, 11424, 6438, 6786, 538, 22130, 22495, 919, 941, 11911, 547, 519, 1482, 8764, 725, 1459, 538 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 12163, 16524, 652, 6022, 30308, 454, 11693, 513, 5569, 799, 5161, 540, 27608, 610, 26627, 27664, 5022, 267, 1265, 519, 3259, 540, 519, 13074, 5493, 785, 27689, 602, 666, 581, 3710, 609, 1346, 5022, 780, 1607, 568, 2013, 6213, 267, 585, 1383, 834, 288, 320, 257, 568, 711, 2808, 513, 5493, 30308, 1934, 780, 9616, 912, 10112, 2541, 519, 3259, 540, 2016, 5569, 786, 711, 9765, 476, 272, 267, 18089, 780, 7078, 1384, 19152, 912, 257, 629, 764, 764, 9536, 5016, 20479, 912, 278, 692, 15008, 912, 3080, 13074, 5493, 30308, 602, 666, 581, 3710, 568, 834, 323, 764, 3147, 323, 2580, 4171, 3259, 568, 476, 278, 563, 12163, 5035, 8827, 912, 825, 1219, 13074, 21595, 30308, 4311, 267, 521, 281, 1193, 264, 9847, 703, 912, 1038, 1293, 815, 1496, 271, 30297, 7367, 454, 1038, 585, 1347, 538, 521, 912, 2018, 607, 857, 328, 815, 3921, 263, 10420, 994, 2018, 952, 607, 857, 328, 3436, 476, 5038, 543, 607, 857, 328, 2999, 476, 11011, 912, 3546, 1293, 314, 30913, 328, 268, 4792, 316, 23785, 272, 454, 2018, 3116, 912, 3546, 1293, 27007, 30913, 328, 268, 9032, 11924, 1839, 316, 23785, 272, 454, 1038, 1820, 4433, 636, 6262, 870, 4917, 1038, 10917, 318, 1245, 815, 1496, 271, 2639, 1038, 1256, 318, 637, 815, 476, 271, 454, 1038, 1256, 318, 21671, 18989, 454, 1038, 585, 1775, 538, 1293, 912, 2018, 952, 1775, 260, 273, 2652, 271, 912, 3546, 1256, 318, 637, 23785, 328, 454, 2018, 3116, 912, 3546, 1256, 318, 21671, 815, 8771, 454, 3546, 1256, 318, 637, 23785, 328, 268, 272, 692, 1038, 952, 1256, 318, 21671, 912, 2018, 2132, 1256, 318, 637, 454, 1038, 3116, 912, 2018, 2132, 1256, 318, 637, 266, 272, 19638, 28128, 815, 8827, 4590, 2745, 263, 28128, 7456, 784, 652, 21595, 30308, 2891, 6277, 257, 4297, 0, 12163, 14737, 3065, 10606, 540, 9577, 595, 8712, 547, 5269, 27010, 26275, 454, 27165, 20504, 539, 281, 271, 454, 27165, 570, 3072, 281, 271, 454, 13707, 20504, 539, 281, 271, 454, 13707, 4427, 332, 3827, 281, 271, 454, 11795, 22187, 281, 8469, 1756, 7531, 7312, 4305, 568, 547, 1106, 606, 8870, 5044, 15358, 689, 606, 3355, 5044, 540, 21325, 2855, 602, 568, 519, 1482, 2450, 607, 15358, 780, 27987, 519, 5934, 1297, 540, 1599, 7125, 547, 1118, 15358, 689, 2855, 780, 763, 2626, 568, 16798, 547, 3514, 538, 513, 476, 3953, 19229, 9896, 8870, 780, 8528, 7078, 476, 272, 1384, 19152, 281, 15358, 815, 1496, 272, 267, 276, 2639, 20479, 281, 476, 276, 454, 15008, 281, 9214, 618, 676, 476, 272, 630, 16149, 3693, 2567, 1496, 271, 267, 476, 271, 316, 547, 1205, 1496, 271, 267, 476, 272, 316, 630, 272, 5106, 1916, 291, 19302, 782, 519, 2609, 281, 1496, 271, 267, 476, 272, 316, 9847, 1496, 271, 267, 476, 273, 316, 9847, 1496, 271, 267, 476, 275, 316, 630, 273, 4238, 1916, 19102, 618, 676, 476, 272, 630, 18485, 2609, 264, 476, 1496, 271, 267, 476, 275, 316, 9847, 1496, 272, 267, 476, 275, 316, 9847, 1496, 272, 267, 476, 276, 316, 630, 273, 4238, 1916, 13707, 540, 4238, 281, 476, 272, 1341, 476, 273, 1341, 476, 273, 815, 476, 276, 563, 7078, 476, 273, 1384, 19152, 281, 15358, 815, 1496, 273, 267, 273, 2639, 20479, 281, 476, 274, 454, 15008, 281, 9214, 618, 676, 476, 272, 630, 18485, 2609, 264, 1496, 271, 267, 476, 271, 316, 9847, 1496, 271, 267, 476, 272, 316, 9847, 1496, 272, 267, 476, 272, 316, 630, 273, 4238, 1916, 291, 19302, 782, 519, 2609, 281, 1496, 272, 267, 476, 272, 316, 9847, 1496, 273, 267, 476, 273, 316, 630, 272, 5106, 1916, 13707, 540, 4238, 281, 476, 273, 1341, 476, 272, 815, 476, 274, 563, 7078, 476, 274, 1384, 19152, 281, 15358, 815, 1496, 275, 267, 273, 267, 276, 2639, 20479, 281, 476, 277, 454, 15008, 281, 630, 30976, 25011, 271, 267, 271, 267, 271, 316, 9847, 1496, 272, 267, 271, 267, 271, 316, 9847, 1496, 272, 267, 271, 267, 272, 316, 9847, 1496, 273, 267, 271, 267, 273, 316, 9847, 1496, 273, 267, 272, 267, 273, 316, 9847, 1496, 275, 267, 273, 267, 275, 316, 9847, 1496, 275, 267, 273, 267, 276, 28488, 333, 4548, 1916, 7078, 476, 275, 1384, 19152, 281, 15358, 815, 1496, 274, 267, 273, 267, 273, 267, 275, 2639, 20479, 281, 476, 278, 454, 7078, 476, 276, 1384, 19152, 281, 15358, 815, 1496, 273, 267, 275, 267, 279, 267, 1626, 2639, 20479, 281, 476, 279, 454, 8528, 3519, 14259, 6493, 1384, 272, 10922, 15358, 32324, 10922, 476, 1015, 317, 276, 454, 271, 10922, 15358, 5157, 316, 10922, 476, 1015, 317, 280, 454, 20701, 5035, 8827, 912, 825, 1219, 10246, 1597, 4311, 267, 15358, 2187, 1038, 10917, 18989, 454, 1038, 585, 1775, 538, 2039, 12759, 25225, 15892, 2018, 952, 15358, 5157, 316, 4939, 273, 11203, 271, 912, 3546, 2132, 8771, 28329, 1038, 2132, 10917, 7531, 825, 1219, 1295, 23330, 725, 4311, 267, 15358, 2187, 1038, 1293, 284, 271, 454, 1038, 562, 284, 6352, 25225, 994, 1038, 4642, 19571, 17342, 271, 30297, 333, 454, 1038, 1820, 25225, 994, 1038, 1247, 263, 14706, 19571, 11203, 15358, 2187, 2018, 585, 1775, 538, 2039, 3799, 2187, 3546, 952, 15358, 5157, 316, 260, 273, 2652, 272, 543, 15358, 5157, 316, 256, 284, 271, 543, 4642, 19571, 11203, 15358, 912, 7386, 15358, 5157, 316, 268, 284, 272, 454, 7386, 1293, 23785, 272, 454, 4449, 8931, 2018, 1820, 25225, 267, 1293, 994, 2018, 952, 1582, 269, 4150, 1597, 25225, 264, 543, 4642, 19571, 11203, 15358, 912, 3546, 15358, 17342, 703, 9217, 270, 273, 264, 585, 1775, 538, 15358, 2639, 3546, 1293, 23785, 272, 454, 2018, 1820, 25225, 267, 1293, 994, 27030, 4449, 672, 692, 1038, 2132, 1293, 7531, 28128, 284, 11405, 4590, 2745, 263, 28128, 269, 2381, 23330, 725, 8443, 273, 267, 275, 267, 279, 267, 1626, 316, 4297, 0, 12163, 785, 2353, 13660, 27289, 538, 606, 26275, 454, 11693, 606, 5044, 540, 9981, 267, 476, 272, 18016, 513, 5157, 316, 18016, 562, 630, 333, 815, 2450, 540, 5044, 1070, 930, 2609, 2408, 7466, 543, 1866, 2408, 2899, 780, 8340, 782, 519, 2609, 602, 2408, 7466, 538, 713, 5044, 780, 27745, 596, 798, 621, 1510, 3063, 2230, 543, 538, 744, 3799, 264, 678, 29025, 2496, 7078, 912, 19152, 912, 314, 275, 267, 274, 267, 273, 267, 278, 267, 279, 267, 273, 267, 274, 267, 272, 6540, 20479, 912, 314, 273, 267, 274, 2639, 12163, 5814, 2979, 454, 5035, 8827, 912, 825, 1219, 1265, 291, 340, 27289, 4311, 267, 15358, 2187, 1038, 1267, 17342, 2639, 1038, 585, 1775, 538, 2039, 12759, 25225, 15892, 2018, 4994, 815, 2612, 25225, 5157, 8079, 910, 272, 454, 2018, 952, 630, 333, 4548, 27709, 316, 2999, 476, 271, 2187, 3546, 1267, 6910, 263, 8161, 266, 272, 994, 2018, 1948, 6665, 1243, 4994, 4957, 547, 519, 2942, 1871, 454, 2018, 15358, 27709, 316, 15871, 333, 4548, 27709, 2639, 2018, 1948, 2745, 25225, 267, 1775, 267, 4994, 994, 1038, 2132, 1267, 454, 28128, 815, 8827, 4590, 2745, 263, 28128, 26098, 291, 340, 27289, 8443, 275, 267, 274, 267, 273, 267, 278, 267, 279, 267, 273, 267, 274, 267, 272, 316, 4297, 0, 5228, 10070, 1104, 22388, 19638, 3698, 4015, 325, 15635, 29495, 272, 267, 8675, 272, 267, 1883, 272, 267, 1130, 272, 267, 20952, 267, 1592, 272, 2187, 825, 1948, 3503, 707, 3009, 1934, 454, 825, 1257, 29999, 815, 15044, 29495, 272, 21858, 2891, 27328, 825, 1820, 5560, 1112, 18154, 3300, 29495, 29999, 21875, 825, 1820, 263, 1883, 272, 267, 1130, 272, 267, 1592, 272, 994, 8931, 825, 4831, 272, 815, 476, 22388, 5560, 5315, 272, 994, 825, 4831, 273, 815, 22388, 263, 4765, 10631, 2020, 825, 4831, 272, 16553, 339, 847, 6262, 3300, 273, 994, 825, 1820, 5560, 1112, 6262, 3300, 272, 11723, 825, 9598, 274, 28121, 8679, 825, 1775, 284, 271, 454, 825, 585, 1535, 11971, 538, 630, 32502, 31107, 272, 267, 1998, 272, 15892, 1038, 952, 1775, 11203, 272, 281, 13872, 2018, 9598, 274, 20572, 24557, 344, 454, 1038, 1775, 23785, 272, 28329, 825, 9598, 274, 314, 4486, 272, 314, 272, 14963, 284, 1998, 272, 314, 272, 2639, 825, 1820, 5560, 1112, 274, 2020, 825, 9598, 275, 28121, 8679, 825, 9642, 17342, 2639, 825, 1256, 17342, 2639, 825, 585, 1990, 538, 1592, 272, 912, 1038, 952, 1990, 260, 273, 2525, 271, 912, 2018, 1256, 6910, 18750, 994, 1038, 3116, 912, 2018, 9642, 6910, 18750, 994, 825, 952, 7003, 263, 15957, 264, 3436, 476, 271, 912, 1038, 9598, 275, 9131, 15957, 11172, 284, 15957, 692, 825, 952, 7003, 16216, 1597, 264, 3436, 271, 912, 1038, 9598, 275, 9131, 16838, 11172, 284, 16838, 454, 825, 1820, 5560, 1112, 275, 9239, 3712, 3005, 325, 15635, 2891, 6011, 1082, 2053, 1281, 1142, 2262, 1397, 909, 538, 713, 4845, 2262, 2053, 1142, 1142, 2262, 2580, 27835, 272, 9166, 476, 274, 267, 1412, 273, 9166, 476, 275, 267, 1412, 1321, 9166, 476, 273, 267, 1412, 1691, 9166, 476, 277, 9574, 18358, 320, 3299, 1412, 321, 3299, 1412, 322, 11172, 2073, 314, 272, 267, 476, 273, 267, 476, 274, 3910, 27835, 272, 9166, 476, 271, 267, 1412, 1691, 9166, 476, 273, 9574, 1496, 272, 267, 476, 274, 267, 476, 276, 267, 476, 278, 267, 476, 280, 267, 476, 1015, 8079, 0, 12163, 25699, 18258, 692, 3519, 13935, 1362, 4214, 540, 8849, 3060, 454, 663, 930, 3730, 3252, 454, 20701, 5814, 11885, 607, 5286, 692, 5035, 715, 301, 912, 825, 8173, 825, 22532, 3060, 1362, 4214, 454, 825, 8173, 825, 1219, 6449, 8181, 9191, 1345, 2187, 1038, 8173, 1038, 19461, 1047, 9949, 1942, 1599, 543, 11852, 454, 1038, 8173, 1038, 1582, 6983, 739, 6958, 15635, 815, 28065, 21798, 454, 1038, 1582, 269, 716, 10474, 6958, 15635, 815, 590, 31451, 454, 1038, 1582, 8807, 1400, 318, 716, 10474, 815, 590, 31451, 692, 825, 1219, 1305, 6831, 739, 4311, 267, 1942, 6958, 15635, 2187, 1038, 8173, 1038, 30498, 519, 1942, 1599, 547, 1945, 824, 982, 9949, 563, 1038, 1942, 6958, 15635, 1058, 581, 513, 1362, 5627, 1412, 325, 333, 262, 543, 1412, 23169, 262, 11979, 2409, 454, 1038, 8173, 1038, 1582, 6983, 739, 6958, 15635, 815, 1942, 6958, 15635, 692, 825, 1219, 1305, 318, 716, 10474, 4311, 267, 957, 6958, 15635, 2187, 1038, 8173, 1038, 30498, 11852, 1599, 563, 1038, 18771, 581, 513, 1362, 5627, 1412, 325, 333, 262, 543, 1412, 1457, 643, 262, 11979, 2409, 454, 1038, 8173, 1038, 1582, 269, 716, 10474, 6958, 15635, 815, 957, 6958, 15635, 692, 825, 1219, 1305, 6958, 1400, 318, 716, 10474, 4311, 267, 3803, 318, 716, 6958, 15635, 2187, 1038, 8173, 1038, 30498, 3803, 11852, 1599, 563, 1038, 18771, 581, 513, 1362, 5627, 1412, 325, 333, 262, 543, 1412, 1457, 643, 262, 11979, 2409, 454, 1038, 8173, 1038, 1582, 8807, 1400, 318, 716, 10474, 815, 3803, 318, 716, 6958, 15635, 692, 825, 1219, 1305, 9078, 16558, 4311, 267, 6106, 2187, 1038, 8173, 1038, 570, 1389, 1592, 540, 9981, 1496, 320, 267, 536, 267, 524, 267, 3267, 2639, 1038, 543, 5036, 519, 6106, 540, 519, 3060, 547, 581, 540, 2450, 513, 267, 536, 267, 524, 267, 4429, 1038, 8173, 1038, 1582, 8542, 636, 9078, 16558, 815, 7003, 10857, 16558, 994, 1038, 1582, 7456, 9707, 5334, 3278, 815, 6106, 692, 825, 1219, 2332, 318, 30135, 318, 663, 318, 6798, 1162, 4311, 2187, 1038, 8173, 1038, 19461, 2478, 519, 12035, 543, 12886, 540, 519, 3060, 454, 1038, 1210, 3044, 3339, 3892, 454, 1038, 8173, 1038, 1948, 12886, 711, 1305, 585, 1101, 4494, 454, 1038, 1582, 269, 6798, 1162, 815, 1496, 12639, 20179, 20120, 333, 10857, 267, 476, 272, 264, 585, 561, 538, 1582, 7456, 9707, 5334, 3278, 314, 272, 281, 27663, 1038, 1582, 269, 30135, 815, 1496, 12639, 20179, 20120, 333, 10857, 273, 267, 561, 272, 8358, 12639, 28460, 10857, 272, 264, 585, 561, 272, 267, 561, 273, 538, 454, 3546, 23407, 4311, 7456, 9707, 5334, 3278, 11468, 268, 272, 3910, 1582, 7456, 9707, 5334, 3278, 314, 272, 281, 8079, 6540, 825, 1219, 2332, 318, 30135, 318, 663, 318, 6798, 1162, 9078, 1618, 4311, 2187, 1038, 8173, 1038, 19461, 2478, 519, 12035, 543, 12886, 540, 519, 3060, 454, 1038, 1210, 3044, 3339, 3892, 454, 1038, 8074, 602, 713, 1419, 3947, 1360, 1804, 1437, 725, 543, 568, 711, 454, 1038, 5227, 563, 1038, 8173, 1038, 1948, 12886, 711, 1305, 585, 1101, 4494, 454, 1038, 1582, 269, 6798, 1162, 815, 1496, 12639, 20179, 20120, 333, 10857, 267, 476, 272, 264, 585, 561, 538, 1582 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 269, 15233, 547, 2960, 563, 292, 1186, 558, 17865, 7027, 8940, 269, 10134, 1682, 5306, 322, 1735, 4290, 3820, 454, 27751, 593, 12559, 26975, 540, 13101, 23253, 630, 292, 1186, 558, 20919, 264, 2066, 519, 2960, 3220, 681, 295, 654, 2130, 3427, 540, 645, 3930, 31190, 267, 2160, 540, 27257, 269, 645, 1428, 476, 273, 22721, 267, 772, 14389, 269, 18078, 17106, 11333, 3820, 454, 8505, 1143, 267, 1323, 26184, 7420, 547, 6715, 13577, 6925, 269, 3487, 4083, 281, 6481, 5004, 623, 1551, 529, 631, 269, 918, 1342, 267, 12854, 20010, 6925, 5623, 2073, 11730, 476, 278, 267, 7089, 476, 277, 267, 476, 1220, 273, 5291, 2517, 4178, 8542, 322, 15501, 2593, 270, 14895, 270, 8505, 1143, 260, 736, 22025, 1113, 260, 736, 6944, 1026, 21881, 260, 736, 26502, 15005, 0, 10387, 1176, 5682, 324, 7195, 577, 4607, 519, 476, 3707, 277, 17587, 13458, 15356, 563, 9213, 267, 1247, 2542, 1433, 8039, 538, 519, 654, 306, 297, 267, 649, 4718, 14667, 5018, 269, 634, 6249, 540, 519, 2835, 1373, 12649, 18808, 609, 519, 14232, 11812, 540, 519, 476, 866, 628, 14821, 540, 519, 772, 2529, 269, 9139, 563, 11693, 1200, 21519, 267, 649, 9289, 952, 1352, 729, 513, 13956, 656, 540, 8861, 630, 294, 731, 1676, 264, 7195, 577, 945, 5030, 538, 30094, 569, 267, 10790, 269, 898, 7140, 856, 602, 1352, 568, 267, 607, 3254, 538, 713, 26264, 21698, 9043, 269, 2368, 6011, 267, 649, 14406, 1200, 538, 938, 4505, 5619, 543, 723, 3773, 1200, 547, 519, 1592, 540, 7338, 8493, 1676, 18939, 593, 9504, 563, 15463, 3237, 941, 14731, 966, 1120, 23888, 7195, 577, 543, 31130, 12756, 715, 1195, 525, 269, 1284, 786, 581, 3168, 693, 519, 1920, 513, 2370, 6251, 607, 1134, 607, 3478, 811, 883, 713, 267, 543, 2404, 267, 1641, 2339, 269, 4173, 9905, 1131, 723, 1044, 540, 519, 5108, 540, 7788, 781, 20516, 945, 729, 513, 22206, 4048, 626, 563, 8170, 3735, 267, 649, 723, 3323, 547, 1413, 693, 519, 772, 2529, 269, 5481, 609, 513, 1715, 4789, 4704, 269, 1284, 917, 602, 9098, 729, 1934, 1991, 547, 623, 569, 17625, 269, 1306, 1134, 267, 649, 786, 2015, 519, 1995, 540, 824, 2477, 563, 10387, 1176, 1131, 723, 1044, 519, 476, 279, 628, 610, 476, 280, 628, 5108, 540, 519, 12590, 3099, 563, 763, 476, 276, 628, 3576, 519, 20015, 660, 540, 519, 7169, 609, 930, 540, 519, 476, 275, 628, 941, 1869, 1934, 607, 519, 4587, 5108, 269, 898, 729, 519, 476, 278, 628, 5108, 602, 3459, 547, 3489, 519, 12587, 540, 519, 1007, 2197, 538, 3964, 2127, 609, 1866, 14178, 519, 2197, 998, 8062, 540, 20281, 2713, 269, 1284, 666, 1413, 693, 519, 2663, 5481, 267, 1932, 563, 15987, 621, 949, 3100, 602, 649, 616, 6236, 519, 1434, 2053, 267, 649, 5431, 602, 2101, 2042, 1869, 11478, 936, 713, 942, 1974, 4171, 3070, 1131, 2097, 2663, 610, 568, 1869, 533, 2056, 563, 7230, 10225, 281, 3525, 1881, 281, 476, 5400, 270, 2764, 270, 1708, 271, 454, 5400, 270, 1691, 270, 1708, 271, 4534, 13191, 5410, 4461, 729, 519, 1101, 1977, 4807, 547, 3094, 519, 17587, 13458, 15356, 538, 476, 4350, 272, 269, 4173, 22660, 4607, 1010, 2244, 9886, 689, 5261, 24282, 269, 13191, 781, 3237, 6410, 547, 7187, 13325, 538, 476, 7277, 275, 563, 5400, 270, 1626, 270, 1708, 271, 4534, 2201, 3257, 930, 1382, 593, 14667, 267, 594, 1294, 602, 1200, 22660, 781, 2985, 814, 1044, 12995, 269, 898, 568, 606, 1383, 602, 649, 1223, 1246, 281, 3627, 7195, 577, 269, 18564, 602, 891, 2038, 4515, 3796, 616, 1373, 9141, 676, 519, 4279, 24779, 5741, 269, 1284, 267, 519, 570, 14899, 267, 616, 4543, 12575, 519, 9043, 585, 7338, 630, 5408, 1318, 10624, 1040, 0, 6826, 10558, 267, 19415, 543, 4676, 2224, 547, 581, 8125, 550, 454, 763, 2621, 540, 713, 3923, 4478, 519, 12638, 540, 6723, 4469, 20477, 543, 519, 1857, 856, 322, 787, 602, 4553, 814, 1082, 540, 721, 21679, 609, 1018, 649, 666, 798, 547, 581, 851, 540, 519, 3070, 543, 581, 606, 909, 1056, 518, 585, 5126, 267, 9698, 267, 4550, 268, 2350, 1143, 267, 543, 3356, 269, 901, 568, 513, 2603, 585, 1053, 547, 1184, 267, 2523, 538, 10072, 1282, 513, 6855, 9808, 9853, 609, 922, 10462, 543, 12194, 269, 4841, 949, 3914, 856, 547, 596, 609, 2055, 267, 4145, 267, 10845, 267, 17140, 267, 543, 16236, 563, 2026, 7855, 267, 649, 723, 513, 5539, 547, 4225, 938, 1053, 262, 5030, 2833, 538, 26655, 519, 1898, 2055, 649, 2232, 538, 938, 6437, 269, 634, 8810, 2853, 32486, 538, 519, 1647, 543, 1164, 1153, 524, 643, 923, 10421, 607, 1134, 607, 519, 1007, 13325, 1514, 2090, 4441, 1489, 971, 18129, 269, 1284, 798, 711, 723, 782, 540, 519, 4267, 267, 855, 649, 666, 581, 1459, 585, 938, 1053, 267, 6432, 547, 741, 4145, 267, 543, 20549, 547, 581, 14980, 269, 1656, 538, 891, 15377, 267, 649, 666, 2203, 585, 938, 1053, 602, 621, 568, 15502, 547, 581, 13347, 543, 18901, 1247, 7234, 1018, 649, 666, 798, 538, 938, 2950, 547, 1491, 5483, 2962, 585, 11528, 1689, 563, 14807, 2209, 798, 711, 991, 547, 25500, 891, 7297, 4805, 269, 3509, 18523, 1565, 4891, 723, 2813, 7028, 585, 891, 24360, 2053, 563, 290, 643, 923, 769, 634, 5664, 6732, 14400, 19113, 10022, 454, 268, 10765, 13325, 5746, 341, 923, 3820, 5816, 2022, 902, 723, 3838, 4555, 827, 5668, 27701, 519, 21931, 543, 1472, 875, 11572, 20309, 568, 3776, 15484, 585, 27834, 563, 268, 834, 4131, 781, 3619, 1703, 281, 10435, 513, 8865, 585, 17813, 267, 23532, 640, 543, 513, 700, 1882, 595, 643, 923, 13979, 547, 595, 15960, 4065, 257, 568, 513, 1867, 538, 799, 519, 4589, 595, 4331, 28137, 267, 15608, 918, 1695, 928, 267, 543, 25014, 3821, 21244, 1118, 519, 2013, 602, 267, 834, 322, 15960, 7855, 543, 15156, 1590, 2327, 602, 3007, 547, 5198, 267, 3961, 267, 543, 519, 5030, 2833, 540, 6107, 616, 3844, 2609, 540, 18523, 2069, 3646, 2443, 1018, 649, 1289, 700, 1882, 595, 643, 923, 4799, 268, 3798, 583, 18701, 2813, 513, 6651, 547, 24054, 543, 14640, 7304, 659, 1143, 585, 30451, 563, 268, 634, 13325, 14195, 7467, 543, 4065, 4741, 814, 3370, 513, 4762, 1258, 1154, 670, 622, 15484, 18145, 563, 268, 9752, 570, 16260, 5063, 3370, 513, 5816, 609, 2200, 1572, 834, 288, 742, 15256, 4563, 22032, 9453, 1473, 24976, 23247, 4799, 268, 674, 5217, 3778, 543, 3776, 2383, 814, 2994, 543, 2200, 585, 834, 293, 29183, 513, 14484, 633, 15858, 257, 543, 3370, 513, 3210, 547, 2487, 2621, 563, 268, 715, 6311, 292, 3370, 834, 2467, 1772, 3143, 7442, 11823, 15858, 281, 8249, 585, 9752, 538, 1452, 8648, 4799, 268, 634, 2817, 7467, 540, 3979, 1977, 3778, 543, 9177, 1175, 3370, 741, 834, 307, 22736, 6168, 17813, 257, 1357, 22045, 563, 268, 4427, 18285, 547, 519, 5240, 17402, 5741, 781, 20394, 834, 763, 590, 3424, 257, 547, 1205, 12353, 10311, 547, 948, 596, 4990, 998, 32422, 267, 11876, 31320, 267, 543, 824, 25749, 827, 1699, 2621, 563, 268, 4065, 10432, 3838, 476, 1428, 15858, 8249, 585, 9181, 532, 32641, 267, 2717, 6005, 267, 543, 14308, 563, 268, 918, 304, 3633, 814, 513, 5816, 2022, 13760, 267, 6258, 267, 543, 2920, 281, 9752, 769, 519, 11068, 560, 540, 7136, 5019, 3949, 585, 4563, 22032, 585, 1489, 1472, 4116, 8086, 267, 2875, 4901, 267, 543, 4928, 1514, 15041, 10899, 1134, 5630, 563, 268, 634, 9533, 5063, 3370, 713, 2219, 4538, 4062, 593, 834, 1432, 14640, 7304, 659, 626, 11334, 798, 7756, 569, 4799, 268, 9628, 15332, 5063, 18799, 513, 1357, 14373, 267, 834, 4462, 17569, 532, 6519, 17658, 850, 613, 281, 1215, 547, 2142, 513, 6519, 1325, 569, 543, 606, 14640, 7304, 659, 626, 2437, 543, 26940, 513, 32367, 547, 1489, 713, 960, 563, 268, 3220, 269, 28120, 4144, 17951, 601, 334, 267, 519, 2278, 540, 834, 19669, 32746, 1006, 2437, 729, 26906, 676, 29849, 23720, 267, 3798, 269, 667, 1421, 19608, 8111, 23734, 550, 270, 32459, 7625, 540, 5345, 534, 8725, 24104, 1222, 4400, 3427, 269, 769, 1769, 540, 1699, 2621, 267, 713, 7731, 11059, 8416, 1357, 14373, 9619, 7965, 7234, 7292, 13253, 543, 10168, 267, 11528, 10168, 267, 543, 875, 547, 1184, 543, 5431, 835, 781, 1378, 17499, 9186, 563, 2005, 568, 711, 1932, 3735, 547, 11578, 585, 519, 2034, 3368, 540, 519, 13325, 290, 643, 923, 3820, 4832, 19113, 3126, 547, 1489, 519, 476, 277, 268, 1321, 524, 643, 923, 31433, 269, 15012, 519, 15966, 768, 1157, 7690, 543, 519, 13325, 595, 643, 923, 19019, 531, 3213, 2851, 585, 513, 3126, 540, 1357, 21577, 2966, 547, 3986, 4116, 2259, 609, 519, 1543, 1702, 543, 8810, 2853, 540, 18523, 2069, 563, 10376, 8400, 3217, 1747, 593, 13723, 6640, 689, 476, 280, 281, 1789, 1700, 1015, 281, 1789, 513, 6230, 269, 543, 2882, 513, 1543, 4274, 6881, 593, 513, 2824, 1888, 543, 513, 2243, 543, 2626, 8400, 609, 13325, 595, 643, 923, 19019, 531, 3213, 2851, 269, 30451, 666, 6443, 2661, 547, 2170, 609, 14747, 543, 2307, 2055, 610, 4585, 513, 10916, 540, 1142, 8400, 563, 10376, 1357, 14373, 568, 1863, 267, 543, 5171, 949, 1528, 547, 7118, 1079, 19113, 17099, 829, 1357, 14373, 585, 11264, 513, 2022, 268, 19986, 14373, 3498, 2534, 563, 2252, 596, 14406, 938, 4873, 1357, 21577, 593, 519, 4197, 519, 13325, 595, 643, 923, 13495, 919, 267, 7351, 543, 2552, 7337, 658, 17136, 9181, 687, 267, 3244, 2827, 540, 14891, 22948, 267, 610, 6796, 4804, 998, 769, 11526, 11059, 267, 3643, 938, 15099, 5071, 15484, 18145, 585, 513, 1357, 14373, 10916, 543, 2200, 1472, 1142, 1888, 563, 288, 6609, 585, 14232, 1357, 21577, 543, 1344, 547, 11578, 585, 519, 1863, 3318, 1646, 17099, 998, 519, 13660, 17273, 13636, 8433, 540, 4065, 568, 2139, 998, 519, 14261, 6402, 2630, 563, 290, 643, 923, 538, 519, 5664, 6732, 19113, 21480, 454, 1607, 19113, 4316, 568, 1500, 2009, 676, 519, 21464, 1489, 540, 519, 7917, 681, 269, 15966, 768, 1157, 7690, 22640, 5358, 563, 6124, 12754, 281, 1715, 12754, 281, 13325, 595, 643, 923, 15099, 5071, 15484, 18145, 454, 6701, 596, 3168, 585, 1007, 2200, 547, 3986, 707, 524, 643, 923, 4928, 286, 1684, 596, 991, 2326, 547, 2743, 519, 1007, 1647, 1153, 524, 643, 923, 23626, 286, 3776, 1007, 15099, 5071, 15484, 18145, 568, 513, 1390, 1747, 547, 1376, 269, 1284, 6394, 2200, 585, 18523, 1565, 4891, 689, 2066, 519, 4182, 547, 1921, 596, 609, 519, 1655, 1543, 543, 27380, 563, 763, 15099, 5071, 15484, 18145, 568, 6896, 267, 585, 8897, 540, 946, 267, 883, 519, 1739, 6810, 912, 268, 5623, 519, 21976, 540, 519, 595, 643, 923, 13495, 622, 454, 268, 18430, 513, 595, 15960, 10748, 527, 540, 2659, 15099, 454, 268, 8073, 513, 8693, 585, 595, 15960, 4804, 454, 268, 7351, 543, 2552, 7337, 658, 17136, 9181, 687, 454, 268, 3244, 2827, 540, 14891, 22948, 454, 268, 6796, 4804, 998, 769, 11526, 11059, 454, 268, 6034, 19019, 540, 14891, 30543, 454, 13425, 1394, 1419, 607, 2200, 616, 3773, 12353, 563, 10403, 19113, 19662, 689, 519, 13325, 14195, 7467, 543, 4065, 4741, 454, 763, 13325, 14195, 7467, 543, 4065, 4741, 568, 11836, 13325, 290, 643, 923, 3820, 547, 1683, 1079, 2228, 3318, 1646, 3255, 538, 5147, 547, 2743, 519, 1647, 1153, 524, 643, 923, 543, 11806, 266, 1686, 31433, 269, 3962, 6679, 568, 1863, 269, 1401, 14032, 4296, 786, 581, 1500, 547, 519, 13325, 4317, 3163, 11621, 267, 543, 519, 13325, 595, 643, 923, 31433, 4317, 16508, 4804, 14847, 4293, 543, 519, 12253, 5459, 17563, 585, 13229, 9752, 269, 19893, 949, 7118, 1614, 3318, 1646, 17099, 585, 11264, 513, 2022, 268, 19986, 14373, 3498, 2534, 269, 2290, 5491, 5662, 786, 581, 2016, 547, 5171, 945, 798, 711, 2347, 519, 29433, 2534, 563, 15288, 21815, 5058, 595, 4353, 12903, 8946, 4629, 308, 21203, 25886, 268, 700, 8577, 2177, 306, 20978, 5990, 670, 5357, 302, 7563, 19851, 454, 307, 11698, 267, 5147, 476, 1691, 267, 476, 1708, 271, 267, 476, 280, 281, 1789, 1700, 1556, 281, 876, 513, 6230, 1421, 24110, 476, 277, 268, 1321, 454, 763, 13325, 595, 643, 923, 13495, 622, 267, 9241, 9450, 547, 1331, 9344, 476, 277, 268, 279, 267, 2488, 15792, 3255, 547, 2721, 689, 519, 4245, 540, 1686, 547, 4001, 1053, 875, 547, 581, 5483, 267, 7722, 4961, 269, 769, 713, 13186, 267, 5171, 786, 2263, 519, 9836, 3646, 17298, 538, 13303, 5125, 547, 14816, 6014, 4961, 540, 741, 3540 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 563, 257, 7021, 942, 267, 3141, 14315, 666, 1291, 547, 2960, 2860, 267, 865, 621, 779, 2731, 1271, 547, 2149, 6000, 543, 938, 2960, 689, 519, 3141, 676, 9849, 513, 1164, 3815, 9501, 293, 1032, 15778, 267, 855, 2523, 538, 519, 4832, 267, 547, 2149, 689, 519, 11158, 289, 12345, 602, 2014, 6633, 563, 257, 16100, 585, 513, 3376, 8552, 630, 18485, 11158, 288, 543, 11158, 289, 264, 1164, 3815, 3795, 267, 865, 9501, 293, 476, 1789, 610, 23679, 476, 2004, 267, 543, 31272, 569, 1169, 1079, 3108, 610, 811, 1419, 952, 596, 616, 10977, 563, 24679, 568, 1271, 547, 581, 3222, 602, 596, 1058, 1832, 1453, 896, 519, 2085, 540, 3670, 3275, 856, 540, 519, 3141, 4625, 543, 3382, 873, 538, 3141, 4027, 7802, 952, 693, 782, 2009, 4799, 9515, 3773, 281, 834, 26422, 14315, 568, 899, 1022, 824, 6633, 602, 596, 1995, 593, 519, 2960, 543, 594, 4076, 2938, 4049, 2665, 540, 3141, 14315, 538, 1250, 13382, 16758, 267, 1141, 649, 991, 547, 946, 28335, 543, 900, 3326, 1801, 547, 1521, 621, 269, 898, 779, 1271, 547, 581, 3141, 1606, 12522, 543, 917, 519, 2947, 590, 338, 540, 3141, 3106, 4799, 763, 2947, 590, 338, 616, 912, 20228, 760, 593, 513, 512, 6879, 7398, 454, 20228, 641, 593, 9501, 293, 5781, 454, 20228, 777, 593, 513, 3376, 1490, 574, 4364, 11058, 454, 20228, 728, 593, 23475, 28904, 454, 4537, 1228, 8164, 2009, 454, 5194, 3978, 1072, 9651, 593, 3905, 2395, 568, 3002, 560, 6593, 267, 799, 4523, 950, 707, 1560, 568, 8572, 547, 1852, 922, 2837, 269, 898, 666, 581, 1360, 3978, 543, 1291, 547, 1418, 3441, 563, 10454, 1292, 2589, 540, 3002, 560, 6593, 616, 513, 1164, 2837, 267, 865, 513, 2837, 540, 476, 2412, 290, 610, 811, 563, 257, 10144, 4043, 547, 1205, 513, 2370, 11821, 267, 610, 723, 606, 12012, 2790, 1533, 269, 1358, 1522, 849, 723, 2242, 538, 741, 24852, 267, 15353, 543, 13481, 568, 3833, 1455, 267, 543, 1166, 19813, 2960, 971, 607, 2699, 1750, 4060, 563, 24281, 811, 4049, 2665, 267, 789, 949, 723, 4028, 7244, 543, 513, 17040, 2295, 2557, 269, 898, 779, 2731, 1271, 547, 581, 3222, 540, 891, 952, 1004, 723, 11124, 689, 513, 3983, 3141, 14315, 538, 519, 4832, 3275, 4799, 2252, 596, 723, 4191, 610, 2589, 540, 3002, 560, 6593, 267, 596, 991, 547, 1294, 513, 4387, 607, 4166, 607, 2009, 269, 19402, 596, 666, 1294, 513, 4387, 267, 596, 1058, 3251, 538, 513, 26484, 1858, 267, 543, 1747, 4411, 6632, 12308, 338, 593, 707, 2960, 547, 3579, 621, 1524, 563, 9743, 8183, 7711, 20142, 7456, 19313, 743, 28649, 7711, 20142, 331, 879, 4048, 335, 454, 7476, 519, 5767, 19954, 29262, 24657, 2786, 547, 707, 28600, 585, 1863, 676, 19142, 909, 547, 938, 20394, 0, 307, 584, 4486, 781, 661, 6113, 25830, 281, 12356, 3893, 547, 3013, 1354, 19090, 17954, 1136, 5240, 454, 15912, 281, 11894, 267, 19090, 454, 307, 24642, 880, 5518, 25547, 335, 570, 599, 344, 760, 661, 6113, 25830, 568, 19101, 602, 7332, 25501, 6603, 519, 17113, 811, 982, 476, 4968, 1296, 1354, 24413, 18332, 19090, 563, 11854, 1136, 14349, 693, 513, 11018, 540, 7332, 3401, 689, 5824, 3013, 267, 661, 6113, 25830, 1767, 602, 3346, 1063, 5771, 543, 5824, 3013, 7389, 547, 519, 476, 1321, 628, 2540, 563, 24679, 568, 16957, 602, 519, 1977, 11782, 729, 4362, 676, 19090, 538, 476, 14983, 273, 2437, 661, 6113, 25830, 1767, 269, 834, 1103, 1249, 267, 7332, 25501, 6603, 519, 1977, 11782, 476, 27183, 1296, 1354, 19090, 267, 538, 476, 14056, 279, 4799, 1260, 906, 13324, 676, 2598, 638, 338, 454, 268, 11657, 776, 593, 519, 7831, 32013, 26676, 547, 27336, 633, 538, 519, 2136, 2276, 570, 1389, 593, 5999, 540, 17341, 1944, 13787, 626, 20222, 454, 268, 634, 26789, 8416, 540, 3687, 8651, 543, 681, 13741, 529, 589, 4575, 2806, 10407, 7457, 6969, 681, 4141, 454, 268, 2311, 922, 476, 2004, 628, 1234, 684, 542, 267, 5487, 681, 18054, 1133, 5866, 1306, 802, 1215, 547, 10426, 519, 8776, 577, 454, 268, 2475, 10598, 937, 540, 17896, 22656, 568, 538, 519, 5240, 267, 855, 519, 6301, 8466, 20556, 814, 1044, 18816, 454, 268, 4024, 590, 4596, 307, 4785, 4860, 529, 527, 519, 5822, 4147, 22893, 1222, 540, 1977, 6341, 334, 753, 888, 268, 5395, 613, 344, 7101, 7770, 14150, 593, 30922, 781, 22994, 16478, 16594, 454, 268, 589, 25227, 16024, 1014, 781, 2549, 4226, 1190, 681, 996, 9722, 540, 7111, 1977, 3778, 8571, 338, 16217, 1047, 543, 29576, 454, 268, 2817, 19964, 1401, 22128, 12694, 519, 8585, 527, 7095, 267, 14891, 3733, 2195, 540, 1977, 11846, 454, 268, 634, 4347, 324, 520, 540, 14740, 15348, 454, 268, 1215, 8211, 1108, 25609, 3013, 781, 7348, 593, 519, 2622, 0, 1103, 519, 26969, 676, 12025, 23519, 267, 3214, 786, 1451, 547, 2697, 543, 6474, 519, 3615, 2687, 547, 741, 2450, 269, 769, 713, 23519, 267, 3214, 786, 1451, 827, 519, 1523, 540, 1507, 267, 5420, 267, 543, 2462, 2450, 269, 901, 786, 948, 3214, 547, 2744, 3407, 1702, 543, 1628, 741, 3308, 7130, 1983, 563, 26368, 1635, 5565, 16544, 1948, 4905, 1107, 631, 10248, 4518, 1504, 454, 31374, 1635, 4147, 1948, 4905, 1107, 590, 15659, 4518, 1504, 454, 290, 22511, 634, 24436, 18786, 2060, 634, 9717, 22843, 454, 300, 2255, 634, 24436, 476, 273, 1107, 631, 10248, 4518, 1504, 454, 300, 2255, 5381, 24436, 476, 272, 1107, 631, 10248, 4518, 1504, 454, 290, 22511, 634, 23893, 24436, 476, 272, 1107, 631, 10248, 4518, 1504, 454, 21010, 519, 667, 1824, 454, 21010, 634, 667, 1824, 476, 272, 547, 476, 2004, 1107, 11314, 4518, 1504, 454, 300, 2255, 7822, 18963, 4518, 1504, 1948, 4905, 1107, 7822, 519, 25609, 454, 5825, 20713, 610, 4757, 2232, 27661, 299, 739, 707, 10957, 888, 10387, 841, 2232, 2608, 0, 2791, 666, 1451, 827, 707, 11937, 676, 13844, 634, 476, 1015, 628, 772, 2529, 269, 17227, 269, 634, 14829, 786, 2307, 596, 1896, 2055, 547, 1451, 811, 827, 707, 1920, 1686, 269, 1280, 1383, 267, 952, 596, 2461, 3168, 585, 513, 2594, 540, 606, 19366, 1920, 267, 596, 666, 1265, 856, 2436, 707, 22660, 729, 513, 2067, 1242, 772, 2529, 269, 12504, 610, 952, 789, 941, 4535, 13383, 269, 634, 476, 4489, 271, 14829, 786, 849, 1592, 741, 5198, 269, 1411, 666, 1265, 856, 2436, 789, 941, 4457, 267, 5545, 267, 4095, 267, 25109, 16201, 267, 1979, 24055, 3109, 543, 3043, 267, 610, 4033, 563, 763, 14829, 786, 849, 2995, 596, 2436, 707, 22660, 729, 513, 6406, 2782, 25982, 269, 769, 519, 14829, 267, 4914, 23899, 9038, 936, 476, 2004, 1296, 2025, 941, 4280, 952, 789, 6039, 269, 19452, 267, 585, 1346, 945, 6294, 3603, 547, 519, 2136, 2276, 1354, 476, 5908, 276, 267, 596, 666, 3605, 2436, 707, 22660, 729, 513, 26956, 540, 2112, 269, 634, 1344, 786, 849, 2995, 596, 2436, 707, 22660, 729, 9310, 267, 1185, 1453, 267, 610, 7283, 513, 30612, 563, 1103, 1840, 547, 4408, 543, 7389, 267, 519, 14829, 849, 12134, 2436, 707, 22660, 729, 9310, 269, 634, 2243, 540, 2436, 707, 22660, 729, 9310, 610, 11097, 15735, 568, 1271, 547, 596, 1317, 621, 786, 2995, 596, 875, 1082, 1453, 941, 4535, 543, 5030, 609, 602, 1268, 269, 1403, 596, 666, 1265, 891, 1453, 267, 596, 666, 946, 741, 4408, 547, 6445, 856, 707, 1920, 3529, 543, 1451, 811, 827, 707, 22660, 779, 1272, 563, 4407, 519, 476, 5002, 271, 14829, 1152, 4280, 827, 519, 1032, 540, 4332, 543, 3923, 267, 519, 476, 4489, 271, 17227, 6569, 713, 2243, 269, 898, 849, 4280, 2436, 513, 1268, 729, 18555, 8276, 1393, 610, 9420, 693, 519, 942, 540, 519, 14829, 269, 1411, 666, 3406, 585, 3877, 899, 891, 676, 1210, 3733, 15463, 5146, 779, 3406, 2599, 269, 1411, 666, 1256, 3406, 676, 12183, 12849, 610, 2012, 7648, 689, 824, 4654, 269, 1403, 596, 2461, 5461, 538, 707, 11937, 267, 596, 1058, 2119, 547, 3406, 519, 476, 4489, 271, 14829, 269 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 519, 26083, 630, 7853, 264, 540, 707, 6928, 1210, 707, 2759, 8083, 543, 4946, 12927, 906, 609, 1402, 338, 1834, 16853, 610, 21491, 6506, 269, 14190, 942, 585, 519, 15441, 547, 3819, 4625, 1354, 3001, 593, 563, 275, 269, 8073, 519, 544, 6814, 676, 5969, 543, 5935, 811, 1402, 338, 1834, 16853, 610, 21491, 6506, 269, 5900, 778, 873, 18172, 547, 519, 16064, 630, 9008, 2627, 264, 540, 707, 6928, 563, 276, 269, 5071, 543, 8936, 519, 521, 5661, 1210, 6094, 5958, 267, 1957, 267, 610, 5068, 9212, 269, 1411, 949, 1616, 547, 1039, 12673, 610, 20612, 585, 6551, 3101, 630, 6050, 8220, 519, 544, 6814, 1916, 277, 269, 7053, 267, 1628, 707, 1019, 528, 4821, 6429, 256, 7994, 513, 4282, 543, 1039, 2609, 971, 607, 1216, 267, 2244, 267, 5656, 267, 610, 1256, 6263, 5515, 547, 2347, 707, 1650, 269, 2142, 3860, 2439, 23558, 256, 1411, 1631, 4865, 3407, 1983, 538, 6928, 9781, 543, 1019, 528, 4821, 5137, 269, 9523, 707, 960, 609, 2828, 543, 1920, 267, 543, 3136, 3695, 519, 4241, 1158, 540, 17535, 1686, 256, 0, 2080, 568, 606, 1349, 689, 513, 2546, 912, 10454, 3509, 631, 13952, 538, 6301, 345, 454, 1103, 519, 6264, 4336, 540, 1919, 267, 476, 273, 267, 1822, 1296, 568, 855, 513, 10286, 540, 5070, 269, 634, 1686, 540, 6301, 345, 543, 519, 3788, 540, 922, 1079, 27453, 616, 1134, 1673, 29545, 538, 811, 982, 513, 18797, 15882, 269, 20056, 1836, 1790, 10517, 1563, 15225, 267, 1134, 27787, 1489, 2326, 267, 3946, 727, 5931, 267, 8778, 338, 543, 2835, 543, 2413, 954, 268, 5562, 3937, 2417, 3986, 9754, 268, 4707, 538, 6301, 345, 269, 5221, 1454, 593, 4159, 729, 1336, 972, 267, 543, 607, 835, 666, 1869, 3643, 519, 4609, 543, 4749, 1294, 24790, 799, 15068, 267, 891, 15882, 616, 2027, 269, 901, 4059, 2329, 561, 1742, 606, 3606, 4110, 540, 4641, 547, 519, 1272, 543, 2053, 540, 6301, 345, 779, 2250, 269, 6250, 1746, 519, 4884, 779, 1082, 3078, 15882, 568, 899, 2921, 513, 3460, 998, 2686, 543, 2067, 1686, 563, 763, 8092, 525, 332, 5237, 1107, 835, 540, 519, 9510, 15882, 538, 5125, 454, 2005, 8075, 519, 1034, 1271, 1148, 4015, 540, 519, 28039, 514, 1633, 6022, 520, 3729, 267, 1851, 799, 616, 9058, 3688, 689, 4936, 6301, 345, 6580, 689, 519, 476, 272, 560, 547, 476, 275, 628, 11416, 269, 1879, 513, 9754, 10525, 29810, 15225, 6580, 689, 519, 12942, 3397, 3010, 2237, 606, 2502, 543, 3015, 1576, 1770, 538, 513, 1837, 585, 1647, 1153, 1053, 1644, 547, 519, 1349, 1657, 267, 2519, 593, 834, 306, 1222, 21290, 543, 667, 1640, 24252, 257, 607, 851, 540, 834, 15045, 3198, 9915, 18306, 9569, 1315, 590, 4721, 1299, 26676, 20761, 1315, 11625, 3645, 2668, 634, 1543, 1058, 581, 3358, 585, 1647, 1153, 1053, 1510, 1991, 1702, 540, 519, 1888, 780, 2521, 547, 1384, 268, 3629, 2143, 3137, 267, 2057, 2930, 3822, 267, 543, 1459, 519, 2093, 538, 513, 3551, 267, 2239, 3159, 563, 268, 3417, 1806, 547, 1118, 519, 1641, 3839, 543, 3078, 585, 1762, 1647, 1153, 1053, 563, 268, 3680, 4304, 519, 1357, 1349, 538, 519, 1837, 269, 1684, 711, 1331, 513, 2140, 610, 2606, 2453, 269, 3399, 1603, 519, 1543, 2047, 269, 0, 7170, 281, 4197, 4139, 24779, 538, 938, 4045, 539, 2622, 692, 7072, 912, 5331, 596, 1185, 2828, 782, 1472, 519, 1158, 910, 538, 14297, 4872, 899, 19519, 267, 18241, 10034, 538, 16848, 267, 18512, 14252, 538, 8478, 256, 1215, 3579, 1131, 621, 581, 547, 1451, 827, 741, 4529, 267, 5389, 267, 543, 2081, 540, 1272, 286, 3767, 4952, 952, 789, 1223, 2097, 3643, 707, 4884, 267, 2671, 741, 2833, 267, 543, 10802, 707, 2146, 269, 2334, 781, 1018, 3486, 9194, 5654, 899, 256, 898, 1797, 1004, 3001, 2066, 2477, 547, 1376, 513, 1007, 1272, 267, 543, 621, 4249, 513, 1713, 1909, 538, 5935, 938, 10562, 1158, 269, 4653, 267, 649, 786, 2263, 875, 2797, 2257, 2337, 721, 1174, 713, 4241, 7613, 1572, 3486, 9194, 780, 4089, 476, 272, 281, 1548, 568, 4139, 24779, 888, 300, 12568, 4016, 547, 519, 3350, 540, 1004, 689, 835, 1747, 547, 1776, 267, 2901, 1369, 513, 2197, 610, 2066, 10665, 269, 1879, 11570, 1847, 1063, 6082, 267, 621, 3587, 1412, 514, 1181, 1049, 9194, 9538, 4658, 949, 3442, 547, 22109, 1813, 547, 1585, 4128, 971, 607, 5275, 1732, 2816, 3255, 267, 22653, 1746, 609, 1920, 2818, 267, 29400, 4655, 267, 610, 7680, 1007, 9035, 256, 3807, 899, 950, 3885, 882, 11229, 547, 513, 1114, 2749, 610, 1533, 267, 891, 2043, 4734, 3297, 741, 5321, 547, 1628, 513, 1007, 1272, 11992, 780, 4089, 476, 273, 281, 15348, 1299, 17423, 10435, 454, 13356, 2888, 3823, 945, 666, 4283, 513, 2197, 267, 1946, 267, 543, 896, 1018, 2175, 4125, 1082, 2797, 2188, 269, 22749, 1711, 3652, 602, 3666, 2640, 899, 13781, 2208, 543, 2686, 4763, 1996, 1761, 2591, 899, 2799, 3747, 585, 2200, 543, 16369, 7965, 269, 1452, 3664, 1764, 1312, 519, 11082, 543, 519, 2950, 22205, 873, 267, 1818, 621, 1898, 585, 14519, 547, 10880, 513, 4023, 543, 1175, 3666, 780, 12244, 5384, 281, 5994, 1373, 513, 3609, 20536, 282, 1865, 1018, 4808, 596, 1131, 3715, 585, 11776, 538, 707, 3148, 543, 2015, 519, 2360, 593, 3025, 3238, 269, 9523, 707, 4555, 609, 15032, 2439, 4089, 476, 274, 281, 5295, 995, 24812, 1299, 12367, 454, 28770, 3101, 11615, 5001, 1522, 3310, 1141, 20404, 6430, 547, 7017, 1524, 269, 1280, 3236, 267, 811, 1004, 949, 1904, 547, 1847, 547, 4025, 899, 3624, 610, 3127, 585, 7694, 16548, 269, 6684, 267, 2919, 2477, 4482, 1346, 3168, 585, 1164, 4441, 540, 2713, 543, 1514, 3354, 1949, 269, 5015, 267, 1875, 3766, 21194, 3906, 849, 1404, 2629, 5107, 538, 21528, 20404, 1282, 19268, 25557, 676, 3246, 4105, 2533, 543, 14957, 585, 741, 2924, 780, 4089, 476, 275, 281, 28304, 31875, 454, 300, 580, 7992, 18368, 3884, 1405, 2141, 2653, 269, 2368, 6608, 20818, 9993, 1759, 593, 1896, 2188, 267, 1519, 1983, 267, 2069, 2157, 267, 610, 1256, 22874, 269, 3958, 267, 2916, 1689, 543, 7526, 666, 3196, 4955, 5928, 855, 4466, 2922, 688, 26223, 3788, 4101, 269, 1306, 3743, 4961, 267, 1620, 891, 10848, 6087, 721, 547, 26003, 1125, 609, 20404, 543, 12167, 585, 4507, 5009, 13784, 543, 3160, 4316, 780, 6962, 912, 18698, 3486, 9194, 814, 2016, 721, 4030, 883, 519, 6946, 4296, 1119, 532, 938, 3309, 2943, 3838, 1158, 1927, 269, 1635, 26762, 519, 6214, 3297, 9194, 3270, 543, 3466, 267, 649, 1831, 5483, 5171, 5827, 540, 5807, 2318, 5188, 543, 3435, 4478, 713, 2565, 3390, 269, 5457, 267, 1169, 1268, 11438, 2189, 2984, 543, 15421, 1107, 1577, 781, 8661, 938, 3604, 1247, 8508, 938, 1455, 8103, 269, 0, 2080, 568, 606, 1349, 689, 513, 2546, 912, 10454, 4139, 11572, 3163, 5948, 630, 296, 4916, 288, 1070, 609, 519, 1489, 540, 519, 6554, 540, 2372, 2946, 13069, 267, 538, 11450, 609, 19270, 867, 807, 2160, 543, 538, 5698, 609, 519, 23951, 2784, 1520, 523, 21516, 7690, 630, 298, 3008, 264, 543, 519, 20523, 5336, 2632, 9418, 543, 20563, 8371, 540, 519, 2136, 8315, 5948, 538, 4516, 267, 568, 8066, 513, 5691, 10554, 593, 519, 12694, 543, 18370, 11072, 585, 519, 8892, 540, 5564, 10561, 1143, 547, 8661, 519, 476, 4037, 628, 16683, 540, 519, 15713, 540, 519, 2136, 8315, 563, 763, 2680, 568, 2921, 1747, 476, 866, 268, 2641, 5239, 476, 1708, 271, 547, 14626, 728, 609, 519, 3923, 17489, 16873, 540, 6167, 4037, 267, 799, 568, 547, 19411, 622, 538, 1715, 3840, 593, 6167, 4139, 4303, 267, 476, 2190, 5239, 563, 763, 2136, 8315, 1062, 568, 6849, 1008, 23148, 543, 1219, 4800, 689, 930, 2276, 267, 543, 922, 8647, 3006, 630, 528, 1419, 264, 8761, 513, 3668, 540, 4398, 269, 24021, 7060, 616, 8375, 538, 1114, 4525, 540, 519, 1158, 267, 9583, 17935, 693, 4831, 4472, 3496, 519, 4540, 2518, 1931, 269, 5047, 267, 1007, 2152, 616, 5051, 11543, 3007, 538, 519, 1617, 10561, 1143, 1062, 267, 3010, 2237, 606, 2502, 543, 3015, 1576, 1770, 538, 513, 1837, 585, 1647, 1153, 1053, 1644, 547, 519, 1349, 1657, 267, 2519, 593, 834, 17220, 24779, 257, 607, 851, 540, 834, 303, 27773, 13316, 1315, 32501, 2668, 634, 1543, 1058, 581, 3358, 585, 1647, 1153, 1053, 1510, 1991, 1702, 540, 519, 1888, 780, 2521, 547, 1384, 268, 3629, 2143, 3137, 267, 2057, 2930, 3822, 267, 543, 1459, 519, 2093, 538, 513, 3551, 267, 2239, 3159, 563, 268, 3417, 1806, 547, 1118, 519, 1641, 3839, 543, 3078, 585, 1762, 1647, 1153, 1053, 563, 268, 3680, 4304, 519, 1357, 1349, 538, 519, 1837, 269, 1684, 711, 1331, 513, 2140, 610, 2606, 2453, 269, 3399, 1603, 519, 1543, 2047, 269 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 514, 10458, 267, 808, 269, 630, 1708, 272, 1040, 14856, 4713, 1282, 519, 524, 10604, 268, 866, 6855, 269, 645, 332, 329, 269, 8222, 281, 1015, 269, 13647, 277, 11486, 332, 329, 8542, 9965, 278, 454, 303, 1046, 8657, 779, 2068, 630, 11520, 264, 568, 519, 2034, 1034, 1455, 31895, 17654, 2068, 267, 4867, 7133, 5176, 835, 2929, 2043, 2429, 519, 2136, 2276, 4805, 272, 269, 6736, 922, 829, 11663, 4369, 267, 1100, 5574, 4867, 2291, 547, 993, 601, 1640, 622, 519, 5817, 3157, 540, 31895, 523, 3130, 267, 609, 4540, 11257, 2519, 17033, 593, 10835, 2359, 273, 269, 634, 3483, 540, 713, 2689, 568, 547, 1683, 513, 31858, 25271, 4901, 540, 519, 6127, 8246, 676, 2185, 3119, 2126, 3681, 1107, 476, 272, 264, 14278, 8839, 267, 476, 273, 264, 5444, 3797, 267, 476, 274, 264, 2620, 2634, 14242, 267, 543, 476, 275, 264, 6565, 1591, 3797, 282, 547, 4983, 1382, 3823, 519, 3106, 543, 12117, 540, 1142, 282, 543, 547, 1305, 8521, 606, 2963, 2861, 16252, 585, 2104, 1382, 267, 5092, 267, 1646, 267, 543, 2126, 269, 2991, 17265, 1382, 3823, 519, 3106, 267, 12588, 267, 543, 2404, 8801, 2621, 585, 1142, 540, 519, 2185, 11257, 267, 594, 2303, 602, 513, 5916, 7245, 540, 519, 3075, 700, 1673, 30249, 609, 513, 17585, 320, 11546, 8364, 7901, 2643, 848, 28166, 543, 5444, 3797, 15225, 519, 6574, 1761, 585, 2104, 1646, 2016, 2164, 538, 1480, 4791, 8062, 543, 5266, 1970, 1981, 540, 8801, 2621, 563, 303, 1046, 8657, 779, 2068, 568, 513, 5312, 28115, 894, 14715, 4524, 609, 2038, 2589, 1519, 536, 2784, 344, 330, 1149, 807, 267, 12152, 528, 267, 543, 16171, 540, 32376, 274, 269, 13536, 5933, 540, 519, 2068, 8915, 538, 7928, 3968, 267, 19576, 779, 2068, 12110, 267, 543, 1256, 2669, 275, 269, 2755, 519, 3123, 540, 19113, 616, 7164, 267, 2101, 27690, 12508, 1331, 23979, 540, 4571, 28090, 17585, 3133, 21544, 11409, 538, 519, 6086, 807, 562, 580, 571, 543, 606, 11606, 540, 10197, 344, 4703, 538, 519, 6967, 6086, 807, 562, 580, 571, 22006, 11409, 276, 269, 19113, 568, 6353, 7361, 676, 22006, 10638, 538, 922, 3355, 5933, 267, 799, 27372, 547, 2014, 1312, 5179, 543, 1875, 332, 19318, 2589, 607, 519, 4524, 22264, 269, 19113, 14001, 2669, 540, 6086, 807, 562, 580, 571, 22006, 11409, 7988, 2958, 12885, 519, 3977, 540, 519, 3003, 21828, 14228, 20377, 5547, 267, 513, 2634, 3148, 1271, 585, 5179, 1852, 277, 269, 634, 5895, 639, 23080, 573, 639, 2028, 639, 630, 25897, 328, 264, 543, 6086, 807, 562, 580, 571, 16163, 1427, 10306, 1092, 630, 17928, 337, 264, 1831, 5409, 5562, 607, 513, 1267, 540, 21022, 4174, 7614, 22629, 269, 901, 568, 2417, 8476, 676, 15398, 2300, 527, 2218, 11378, 689, 519, 1016, 11209, 25271, 13540, 630, 4306, 301, 264, 602, 1267, 689, 8519, 7409, 7480, 1852, 689, 519, 5895, 639, 23080, 573, 639, 5007, 630, 294, 8248, 264, 278, 630, 8201, 476, 272, 321, 1040, 634, 7988, 28832, 540, 21828, 14228, 20377, 3977, 568, 2808, 547, 581, 519, 2101, 2014, 3297, 519, 3350, 4713, 2404, 609, 19113, 267, 543, 4061, 568, 519, 3135, 602, 1034, 19113, 5574, 616, 6098, 269, 769, 713, 2689, 267, 594, 1445, 593, 11257, 6322, 693, 8156, 519, 2360, 540, 5179, 21324, 267, 12077, 7988, 330, 1149, 807, 267, 1739, 519, 7771, 540, 562, 580, 15543, 686, 7614, 22006, 11409, 563, 7212, 1100, 2068, 21524, 4328, 2126, 585, 19113, 4867, 6818, 267, 31916, 11257, 971, 607, 14278, 8839, 543, 2620, 2634, 14242, 723, 1044, 6964, 547, 2087, 519, 2298, 540, 1272, 585, 8995, 2043, 273, 269, 634, 3075, 700, 1673, 30249, 267, 1419, 1071, 611, 3439, 1229, 609, 17585, 320, 11546, 8364, 7901, 2643, 848, 20127, 971, 607, 2961, 321, 573, 30249, 267, 1568, 676, 2810, 519, 21022, 22006, 3761, 547, 519, 4174, 23628, 630, 8201, 476, 272, 321, 267, 594, 1040, 898, 814, 1044, 3964, 607, 519, 4154, 3044, 540, 11257, 543, 568, 1631, 11311, 547, 5176, 1169, 19113, 3461, 2390, 5868, 279, 269, 6271, 811, 5063, 3964, 2126, 568, 2620, 2634, 14242, 630, 291, 7034, 1070, 799, 7740, 1472, 519, 15498, 566, 540, 22809, 2966, 547, 10038, 9402, 2534, 538, 519, 13382, 328, 543, 5254, 301, 3361, 676, 12150, 17585, 3133, 21544, 2157, 630, 8201, 476, 272, 321, 267, 4083, 1916, 4407, 1312, 540, 891, 5574, 2709, 9354, 1871, 267, 1142, 2097, 609, 741, 1378, 1305, 540, 8374, 269, 700, 1673, 30249, 19380, 519, 2702, 547, 16401, 19576, 1014, 5179, 2589, 14961, 2429, 519, 1554, 267, 799, 6038, 5012, 547, 7928, 15088, 538, 10835, 6881, 1634, 607, 593, 543, 1055, 2829, 280, 282, 17585, 320, 11546, 8364, 7901, 2643, 848, 20127, 630, 291, 17584, 16927, 264, 616, 1419, 13950, 609, 700, 5937, 30249, 547, 993, 601, 1640, 622, 1055, 15581, 2360, 1015, 269, 667, 7034, 849, 5526, 7620, 2500, 267, 855, 3340, 12362, 5778, 338, 29864, 609, 513, 1164, 1981, 540, 4049, 8801, 2621, 1556, 563, 11693, 519, 2152, 609, 12117, 543, 2427, 2360, 540, 14278, 6139, 1905, 625, 543, 667, 7034, 267, 972, 6818, 513, 3395, 3747, 585, 824, 2126, 3681, 269, 10765, 4030, 538, 2126, 4610, 971, 607, 5444, 3797, 543, 6565, 1591, 3797, 849, 2709, 17105, 4126, 585, 811, 2500, 9354, 4093, 269, 22319, 3797, 630, 8201, 476, 272, 321, 267, 8633, 264, 9072, 519, 4174, 23628, 538, 13922, 540, 7393, 519, 4082, 540, 1978, 6090, 602, 666, 909, 2958, 3634, 22006, 267, 4061, 19086, 2589, 3361, 676, 8519, 22006, 9830, 269, 25745, 1591, 3797, 630, 8201, 476, 272, 321, 267, 10001, 264, 6663, 547, 15498, 9862, 6565, 2281, 547, 5372, 8697, 17585, 3133, 21544, 11409, 267, 7551, 15558, 1154, 519, 2360, 540, 22006, 10638, 563, 1103, 713, 2689, 267, 4093, 616, 3067, 1881, 998, 8791, 8633, 540, 519, 1133, 1881, 19576, 779, 8376, 28951, 17361, 630, 16810, 11403, 306, 1070, 513, 12773, 1907, 1031, 538, 799, 2362, 8464, 5330, 547, 3152, 10335, 540, 5179, 2589, 538, 2068, 11144, 1321, 269, 9717, 741, 5266, 1164, 12117, 543, 1970, 12136, 540, 8801, 2621, 267, 594, 4363, 602, 513, 12242, 1935, 540, 5444, 3797, 609, 519, 5061, 700, 1673, 30249, 543, 2961, 321, 573, 30249, 581, 8246, 607, 513, 15977, 2619, 585, 2126, 543, 1382, 563, 8201, 476, 272, 281, 22217, 1881, 28176, 6516, 540, 21828, 14228, 20377, 5547, 787, 538, 3339, 630, 288, 264, 543, 6288, 8657, 1014, 630, 289, 264, 2829, 269, 3131, 12993, 546, 10449, 2099, 7409, 7480, 20327, 267, 1247, 21985, 2099, 2300, 527, 2218, 20327, 267, 609, 519, 3448, 11098, 540, 1142, 1899, 1373, 22566, 540, 519, 9588, 540, 1198, 269, 7108, 10580, 5815, 4525, 538, 799, 1142, 9757, 2126, 6411, 269, 634, 9000, 540, 22006, 11409, 2164, 538, 30759, 689, 519, 13382, 328, 543, 19301, 337, 2059, 609, 8519, 7409, 7480, 1852, 540, 519, 717, 8248, 563, 8170, 519, 1906, 4540, 5574, 540, 19113, 267, 14278, 8839, 568, 2808, 519, 3119, 3903, 267, 13950, 2901, 607, 513, 1796, 17038, 821, 2126, 610, 607, 513, 15977, 31458, 2390, 799, 3606, 11257, 616, 13950, 269, 634, 3804, 540, 1034, 19113, 14453, 5574, 568, 547, 25579, 880, 32033, 22006, 9830, 538, 519, 4174, 23628, 282, 2705, 267, 22006, 3294, 568, 513, 1216, 30320, 11140, 543, 4061, 24835, 762, 540, 11579, 7992, 519, 1973, 1532, 1778, 11064, 630, 17668, 289, 264, 952, 28041, 30375, 269, 700, 1673, 30249, 267, 513, 22006, 24888, 267, 568, 513, 4122, 11311, 3075, 602, 666, 1780, 998, 519, 645, 17668, 267, 3850, 585, 19718, 676, 2634, 17585, 3133, 21544, 11409, 543, 7503, 547, 22006, 1724, 269, 1677, 2417, 2333, 22006, 9830, 267, 17585, 320, 11546, 8364, 7901, 2643, 848, 20127, 630, 291, 17584, 16927, 264, 971, 607, 645, 27660, 1794, 728, 543, 2961, 321, 573, 30249, 616, 1419, 8195, 13950, 547, 6175, 519, 15672, 15059, 540, 700, 1673, 30249, 676, 1439, 18100, 17585, 320, 11546, 8364, 7901, 2643, 848, 1015, 563, 22873, 658, 7245, 540, 700, 1673, 30249, 543, 667, 17584, 268, 3674, 568, 4122, 6353, 676, 8101, 993, 601, 1640, 566, 540, 6288, 8657, 1014, 2589, 543, 1164, 7109, 1464, 269, 1306, 513, 11347, 1383, 267, 835, 19747, 267, 5595, 15918, 785, 5650, 6417, 1353, 1336, 602, 2550, 8391, 476, 7785, 8406, 540, 3232, 700, 1673, 30249, 543, 2961, 321, 573, 30249, 20639, 606, 3328, 540, 476, 280, 269, 273, 2798, 2539, 593, 519, 2698, 24505, 11403, 306, 476, 5655, 4374, 1310, 2126, 3323, 3379, 547, 741, 15977, 6060, 1354, 4358, 269, 4329, 267, 1776, 4693, 4974, 2360, 693, 476, 9083, 4374, 1336, 513, 1611, 3017, 540, 476, 280, 269, 279, 4559, 1691, 269, 11916, 1239, 689, 713, 543, 824, 2090, 275, 267, 1428, 267, 1626, 6920, 602, 700, 1673, 30249, 543, 667, 17584, 268, 3674, 1404, 513, 1713, 1909, 538, 4227, 19576, 779, 8376, 2589, 563, 4407, 5916, 7245, 540, 700, 1673, 30249, 543, 667, 17584, 268, 3674, 814, 513, 1279, 1686, 540, 3811, 946, 538, 8156, 19113, 267, 14278, 1670, 909, 28832, 540, 22006, 814, 922, 7182, 269, 9717, 519, 21800, 7245, 540, 513, 667, 17584, 16927, 267, 700, 1673, 30249, 814, 513, 3368, 3734, 540, 1152, 476, 272, 269, 276, 547, 476, 273, 3108, 269, 4935, 267, 519, 8653, 540, 2962, 6238, 693, 1472, 476, 273, 547, 476, 275, 3108, 1354, 13302, 1813, 547, 519, 21324, 540, 17585, 3133, 21544, 27090, 4859, 5759, 1704, 269, 901, 4028, 3032, 29440, 540, 22006, 5012, 547, 24421, 8684, 14242, 543, 22522, 6765, 547, 13364, 267, 799, 538, 2490, 2164, 538, 513, 2647, 2039, 540, 7988, 330, 1149, 5362, 543, 2799, 5179, 8374, 538, 519, 1055, 15581, 1240, 269, 769, 519, 27069, 4693, 267, 2663, 2164, 6542, 513, 476, 2412, 260, 4960, 540, 2799, 5179, 8374, 1310, 513, 1974, 540, 476, 275, 547, 476, 277, 1296, 1813, 538, 851, 547, 700, 1673, 30249, 779, 24421, 8684, 14242, 543, 849, 2949, 2068, 11144, 1015, 269, 11150, 585, 4227, 519, 1055, 1533, 543, 14178, 519, 2500, 3259, 540, 2126, 1331, 2810, 519, 18262, 540, 17585, 3133, 21544, 6646, 267, 4946, 1776, 17585, 3133, 21544, 6646, 267, 9570, 6824, 566, 267, 610, 4946, 524, 622, 3273, 14114, 2173, 14007, 10520, 2536, 848, 20127, 630, 26376, 30454, 264, 610, 1395, 334, 8533, 12444, 848, 1826, 645, 20127, 630, 7246, 15477, 3674, 264, 547, 21391, 519, 15059, 540, 700, 1673, 30249, 543, 22006, 543, 10804, 741, 2360, 866, 563, 1103, 2489, 267, 5444, 3797, 18271, 9354, 6090, 547, 1521, 4713, 676, 31925, 267, 13868, 267, 610, 3623, 9760, 26843, 6090, 736, 269, 769, 2474, 540, 519, 2126, 540, 3350, 4713, 899, 19576, 779, 267, 621, 3335, 3091, 16496, 11808, 540, 22006, 5834, 547, 519, 4174, 23628, 998, 519, 909, 28832, 540, 17585, 3133, 21544, 15202, 2641, 269, 2755, 972, 616, 2789, 2081, 547, 17982, 5444, 11257, 267, 1034, 1118, 946, 540, 1875, 3146, 2364, 908, 10194, 10321, 267, 971, 607, 513, 21921, 5364, 20722, 334, 23938, 3644, 630, 8150, 309, 264, 543, 21378, 643, 6400, 267, 547, 5838, 5574, 547, 6098, 2127, 2420, 563, 2467, 616, 1079, 5444, 11257, 4867, 538, 7156, 585, 519, 2126, 540, 19113, 2589, 267, 1312, 540, 799, 960, 547, 3077, 2147, 7636, 11444, 538, 519, 2634, 269, 634, 1101, 267, 589, 668, 1738, 700, 5025, 2381, 334, 18729, 5463, 541, 7901, 2643, 848, 630, 288, 4696, 290, 264, 5444, 3797, 267, 3322, 20133, 558, 1227, 17122, 9360, 540, 519, 589, 4696, 290, 11747, 602, 6087, 606, 2799, 2557, 540, 7503, 689, 700, 1673, 30249, 547, 22006, 538, 1098, 706, 1027, 2281, 2641, 269, 32192, 3077, 519, 2022, 268, 5570, 1170, 1116, 4174, 23628, 267, 519, 3077, 540, 519, 562, 580, 15543, 686, 7614, 22006, 11409, 602, 5884, 1055, 1282, 19113, 269, 634, 5420, 838, 4176, 11409, 540, 519, 2022, 268, 5570, 1170, 1116, 4174, 23628, 798, 711, 632, 2102, 4733, 1282, 19576, 779, 267, 543, 3105, 2090, 723, 30833, 519, 1761, 585, 891, 2281, 547, 2769, 1098, 2102, 525, 585, 6905, 5712, 540, 942, 2537, 563, 763, 2034, 3797, 18271, 513, 5916, 1935, 540, 589, 4696, 290, 609, 519, 6090, 1119, 4592, 710, 18038, 2643, 848, 630, 8025, 264, 543, 1368, 534, 27343, 2468, 874, 24043, 7814, 334, 5139, 1503, 848, 594, 630, 294, 6224, 272, 1040, 8946, 17838, 700, 268, 1399, 4592, 710, 547, 700, 1673, 30249, 267, 1247, 717, 6224, 272, 10776, 8240, 519, 10282, 540, 519, 1898, 1119, 4592, 710, 18038, 2643, 848, 1071, 26476, 267, 25543, 5139, 549, 6798, 16239, 514, 269, 9521, 519, 589, 4696, 290, 5444 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 11522, 26251, 267, 596, 666, 2119, 936, 7308, 23716, 11522, 21360, 602, 3568, 11522, 16401, 1218, 610, 2503, 528, 1218, 269, 7427, 519, 18262, 5528, 5402, 543, 5077, 707, 4387, 952, 596, 723, 1022, 2564, 2175, 610, 1491, 1022, 6527, 563, 7804, 9722, 7899, 540, 12862, 899, 1216, 267, 7401, 267, 610, 17339, 666, 948, 1832, 707, 7929, 1062, 19872, 543, 2569, 23472, 269, 3680, 14933, 543, 4568, 267, 799, 666, 13204, 3433, 707, 1560, 563, 305, 20535, 543, 3478, 2614, 3207, 666, 948, 707, 1560, 4339, 5563, 543, 2569, 23472, 269, 3680, 588, 1066, 6681, 2238, 602, 666, 22009, 707, 11522, 563, 8794, 513, 18519, 8595, 610, 11517, 6500, 666, 948, 5848, 584, 1125, 707, 28296, 543, 2569, 23472, 269, 5269, 2386, 547, 2973, 707, 18519, 8595, 5781, 547, 2057, 9044, 610, 4551, 2208, 563, 1691, 269, 3680, 7054, 761, 1218, 454, 22879, 4598, 547, 8886, 1218, 899, 8673, 267, 7452, 267, 610, 14947, 602, 666, 22009, 707, 11522, 269, 23203, 513, 9633, 952, 596, 723, 547, 979, 3544, 538, 26130, 2127, 563, 1428, 269, 6481, 9615, 454, 2252, 707, 11522, 16569, 585, 811, 982, 1079, 4374, 610, 568, 10483, 676, 824, 2589, 899, 8611, 267, 9221, 1928, 267, 610, 7411, 7244, 267, 596, 1058, 3343, 2564, 2126, 269, 2659, 4387, 666, 13209, 519, 5817, 2014, 540, 707, 11522, 543, 21559, 11216, 610, 824, 6527, 952, 2556, 563, 6930, 503, 489, 32279, 18542, 5999, 630, 11902, 17988, 994, 272, 269, 2052, 23472, 581, 513, 1129, 540, 1945, 3978, 888, 8133, 267, 23472, 666, 581, 513, 10835, 540, 3978, 2175, 899, 16415, 267, 32583, 267, 610, 5761, 2860, 269, 1403, 707, 11522, 26251, 585, 811, 982, 1079, 4374, 610, 568, 10483, 676, 824, 2589, 899, 8611, 267, 9221, 1928, 267, 610, 7411, 7244, 267, 596, 1058, 3343, 2564, 2126, 563, 273, 269, 1215, 1279, 1058, 513, 11522, 2063, 888, 288, 11522, 666, 2063, 585, 513, 1906, 2395, 547, 513, 1906, 4374, 267, 4470, 593, 519, 5817, 2014, 269, 1403, 707, 11522, 16569, 585, 811, 982, 1079, 4374, 610, 568, 10483, 676, 824, 2589, 899, 8611, 267, 9221, 1928, 267, 610, 7411, 7244, 267, 596, 1058, 3343, 2564, 2126, 563, 274, 269, 2052, 594, 6952, 513, 11522, 689, 2576, 3116, 888, 8133, 267, 11522, 338, 666, 581, 21380, 267, 2523, 952, 789, 616, 3361, 676, 10194, 610, 9190, 5563, 269, 1411, 666, 2569, 707, 1981, 540, 20414, 513, 11522, 676, 11067, 707, 3946, 4749, 543, 9319, 2673, 3346, 609, 1004, 945, 616, 7210, 563, 275, 269, 1215, 666, 594, 2061, 513, 11522, 888, 2791, 666, 2569, 707, 1981, 540, 3478, 513, 11522, 676, 4509, 1434, 9882, 267, 9319, 4598, 547, 8886, 1218, 267, 3478, 18764, 1996, 2770, 543, 945, 14563, 11522, 267, 543, 14304, 707, 4761, 1062, 609, 513, 2635, 2732, 267, 3635, 267, 543, 3207, 563, 276, 269, 1772, 23472, 513, 10835, 540, 5046, 268, 866, 888, 8133, 267, 23472, 568, 835, 540, 519, 1034, 1455, 2589, 540, 5046, 268, 866, 267, 2059, 609, 8611, 267, 9854, 267, 543, 7411, 7244, 269, 1403, 596, 723, 2589, 540, 5046, 268, 866, 267, 596, 1058, 1582, 268, 18066, 622, 267, 1205, 7318, 267, 543, 1246, 519, 4808, 540, 707, 2199, 1072, 8128, 563, 277, 269, 2052, 594, 4235, 4568, 1247, 594, 723, 513, 11522, 888, 2005, 568, 1655, 547, 2057, 4568, 950, 596, 723, 513, 11522, 1317, 621, 666, 13204, 3433, 707, 1560, 543, 22009, 707, 2589, 563, 278, 269, 2052, 594, 3635, 950, 594, 723, 513, 11522, 888, 2005, 568, 1655, 547, 2057, 588, 1066, 6681, 2238, 950, 596, 723, 513, 11522, 1317, 621, 666, 22009, 707, 2589, 543, 1118, 596, 1745, 13110, 269, 22918, 548, 2238, 899, 10649, 610, 6972, 666, 948, 596, 3251, 3742, 1510, 8380, 1932, 1454, 8833, 593, 707, 1560, 563, 6930, 495, 491, 10390, 281, 6875, 11059, 3767, 2336, 3086, 602, 596, 723, 4121, 827, 519, 3123, 267, 2010, 267, 543, 14319, 585, 513, 11522, 267, 621, 779, 942, 547, 1491, 2962, 543, 2161, 1434, 25742, 547, 707, 11522, 585, 1434, 256, 5457, 547, 2697, 519, 1826, 540, 11522, 596, 723, 267, 2119, 519, 1753, 14319, 267, 4235, 7899, 540, 12862, 267, 1964, 267, 543, 3343, 2564, 2126, 952, 2556, 269, 5213, 1406, 1577, 513, 11522, 7519, 707, 3232, 1272, 543, 17225, 707, 7607, 269, 7427, 891, 4388, 543, 1491, 1416, 540, 707, 7929, 1072, 563, 6930, 497, 507, 1849, 3151, 543, 2598, 25068, 454, 14188, 596, 585, 2542, 938, 2376, 593, 875, 547, 1205, 7759, 540, 513, 11522, 269, 1284, 4126, 602, 596, 723, 1336, 621, 13181, 543, 5363, 269, 7490, 4063, 602, 519, 1344, 538, 713, 2376, 568, 585, 3872, 5301, 1152, 543, 1058, 711, 581, 1031, 607, 513, 12990, 585, 2564, 5796, 267, 5868, 267, 610, 2126, 269, 11408, 5077, 707, 4387, 610, 3782, 8502, 1354, 3843, 1022, 1753, 14319, 610, 6527, 269, 1284, 616, 711, 3743, 585, 1022, 14796, 610, 4539, 602, 949, 8451, 689, 1739, 519, 5796, 538, 713, 2376, 269, 0, 2252, 596, 2461, 899, 1034, 1004, 267, 596, 4440, 917, 875, 547, 1689, 24039, 538, 513, 3044, 1286, 267, 855, 1018, 827, 952, 596, 723, 513, 8261, 6771, 286, 769, 713, 2376, 267, 649, 3580, 1397, 596, 875, 547, 1689, 24039, 538, 513, 8261, 1286, 1107, 1256, 952, 596, 2461, 711, 1360, 1434, 693, 621, 2336, 294, 792, 1744, 14823, 17943, 454, 2252, 596, 2461, 899, 1034, 1004, 267, 707, 1101, 1995, 609, 10591, 13346, 729, 2693, 538, 513, 1286, 609, 606, 13128, 6771, 269, 769, 513, 8261, 1286, 267, 24039, 616, 4957, 676, 15914, 519, 6771, 11573, 6023, 630, 528, 533, 5417, 956, 264, 547, 1689, 519, 10591, 269, 901, 2376, 786, 948, 596, 1205, 909, 547, 3432, 593, 875, 10591, 13346, 1568, 538, 513, 8261, 1286, 267, 543, 875, 547, 798, 621, 9108, 543, 7561, 563, 2691, 596, 1376, 707, 2599, 538, 513, 8261, 1286, 267, 519, 6771, 786, 2356, 581, 538, 968, 335, 1046, 892, 630, 514, 9243, 1040, 1677, 979, 883, 1101, 10591, 267, 596, 1131, 17967, 519, 6771, 11573, 6023, 630, 528, 533, 5417, 956, 264, 547, 519, 2451, 267, 2509, 968, 272, 1848, 1677, 979, 883, 2034, 10591, 267, 596, 1131, 17967, 621, 547, 519, 1318, 267, 2509, 968, 273, 1848, 634, 1482, 4422, 585, 3791, 998, 11359, 24039, 269, 1411, 666, 849, 27464, 609, 519, 8868, 1247, 538, 891, 24039, 676, 7432, 621, 538, 513, 1880, 4287, 563, 2252, 596, 2479, 1205, 12758, 538, 835, 540, 891, 24039, 267, 1810, 1406, 11784, 256, 1703, 616, 1896, 1919, 596, 666, 798, 547, 1205, 856, 540, 8373, 912, 272, 264, 8347, 2847, 1324, 707, 2599, 269, 901, 786, 3006, 6521, 24039, 593, 922, 1378, 952, 707, 1286, 568, 538, 1434, 2783, 543, 519, 804, 8553, 568, 2324, 5265, 563, 273, 264, 1403, 602, 3085, 1406, 960, 267, 2119, 8380, 707, 1286, 883, 9243, 454, 1692, 547, 7827, 717, 8986, 538, 513, 15015, 2961, 454, 2419, 4474, 24039, 538, 513, 8261, 1286, 666, 581, 16602, 267, 855, 609, 513, 2370, 2259, 621, 3587, 2653, 269, 3371, 616, 2185, 4388, 547, 948, 596, 1205, 3323, 912, 272, 269, 5192, 538, 519, 2953, 1286, 2990, 269, 769, 513, 8261, 1286, 267, 519, 10591, 7901, 568, 4092, 693, 519, 4395, 540, 519, 1286, 269, 1677, 1689, 24039, 267, 596, 1101, 991, 547, 1205, 883, 519, 2953, 6117, 2990, 269, 901, 1797, 602, 707, 10160, 1058, 581, 14661, 865, 602, 707, 3952, 616, 6366, 593, 519, 2666, 543, 707, 25637, 616, 1377, 609, 519, 8868, 563, 273, 269, 9255, 707, 1688, 593, 519, 20347, 29465, 269, 4495, 596, 2461, 538, 519, 2953, 6117, 2990, 267, 1747, 707, 824, 1688, 593, 519, 20347, 29465, 547, 3247, 519, 1286, 269, 901, 786, 2327, 602, 596, 4465, 1406, 18417, 5734, 519, 5787, 1807, 950, 3843, 547, 1689, 24039, 563, 274, 269, 700, 11229, 519, 10591, 11573, 269, 2201, 930, 6517, 267, 519, 10591, 11573, 568, 4092, 1985, 547, 610, 3297, 519, 23376, 8868, 269, 4855, 713, 11573, 543, 7485, 621, 2786, 909, 630, 528, 1524, 952, 596, 2461, 538, 1101, 10591, 1040, 2142, 2386, 547, 3180, 5196, 621, 1247, 596, 1689, 24039, 2336, 275, 269, 7827, 24039, 676, 13346, 707, 3723, 883, 1747, 2630, 519, 10591, 11573, 269, 1879, 596, 1294, 968, 272, 892, 610, 968, 273, 892, 2408, 1985, 547, 519, 10591, 1297, 593, 519, 3866, 267, 6521, 707, 3723, 883, 1747, 543, 5305, 454, 294, 792, 1744, 14823, 9669, 585, 15015, 28298, 23663, 454, 2419, 4474, 24039, 538, 513, 8261, 1286, 666, 581, 513, 3787, 540, 513, 4161, 267, 855, 609, 930, 2259, 596, 666, 1205, 519, 13793, 540, 621, 269, 3371, 616, 930, 4388, 547, 948, 596, 6521, 10591, 12347, 543, 7561, 912, 272, 269, 5192, 1031, 547, 519, 1745, 540, 519, 10591, 6442, 614, 269, 1411, 3580, 991, 547, 946, 707, 3946, 543, 11263, 547, 1852, 519, 10591, 6442, 614, 267, 865, 621, 779, 1271, 547, 1205, 1031, 547, 519, 1259, 621, 7959, 543, 13333, 563, 273, 269, 5213, 1406, 19060, 950, 4657, 24039, 269, 6875, 707, 942, 543, 979, 998, 1142, 10591, 5402, 267, 1818, 2386, 596, 2461, 538, 519, 1318, 835, 1354, 3001, 593, 547, 519, 1985, 563, 274, 269, 6657, 13346, 1247, 18736, 610, 538, 3500, 2173, 8221, 6808, 269, 901, 786, 948, 596, 1205, 6899, 609, 875, 519, 10591, 6442, 614, 1568, 543, 1118, 13346, 593, 519, 4155, 23704, 543, 1447, 3454, 532, 563, 275, 269, 5901, 707, 3946, 2973, 543, 1863, 689, 11041, 543, 31294, 269, 901, 786, 948, 2087, 707, 17945, 593, 519, 6442, 614, 267, 3246, 1732, 1852, 950, 13346, 24039, 563, 294, 792, 1744, 14823, 9669, 585, 4201, 11703, 28298, 23663, 454, 2252, 596, 2461, 6117, 513, 8261, 1286, 267, 972, 616, 930, 2596, 4388, 602, 786, 948, 596, 1689, 24039, 12347, 543, 3362, 563, 5575, 267, 1118, 2386, 707, 1688, 568, 2786, 950, 596, 6521, 519, 24039, 269, 5213, 1406, 13029, 909, 707, 1688, 610, 6186, 1765, 3286, 1577, 621, 1847, 6923, 563, 13553, 267, 3314, 547, 946, 707, 14853, 547, 6521, 519, 10591, 3333, 3424, 883, 519, 5551, 2990, 269, 1411, 1810, 1406, 991, 547, 946, 707, 11263, 563, 4517, 6368, 267, 581, 3461, 269, 898, 949, 1491, 513, 1906, 13290, 547, 1205, 1031, 547, 519, 1184, 267, 855, 5555, 596, 3580, 581, 13346, 24039, 899, 513, 605, 2336, 294, 792, 1744, 14823, 9669, 585, 7756, 32010, 17148, 454, 2467, 616, 513, 1906, 1114, 2081, 547, 1689, 24039, 538, 513, 8261, 1286, 267, 4470, 593, 707, 6117, 2175, 269, 3371, 616, 930, 4388, 547, 948, 596, 10591, 909, 585, 1022, 5397, 912, 2691, 32010, 593, 519, 23681, 454, 2691, 6117, 593, 519, 19814, 267, 621, 779, 3622, 4443, 547, 1689, 24039, 1210, 707, 3946, 269, 15439, 6521, 707, 1318, 1688, 547, 519, 10591, 11573, 543, 6521, 519, 8868, 547, 519, 5551, 10591, 609, 707, 2451, 1688, 563, 2691, 32010, 538, 2749, 6808, 454, 2691, 6117, 538, 2749, 6808, 267, 621, 666, 581, 811, 2352, 547, 1689, 24039, 1210, 1175, 707, 3946, 269, 769, 713, 3510, 267, 621, 779, 5363, 547, 946, 835, 540, 1079, 10591, 6442, 1562, 15841, 593, 519, 23376, 8868, 269, 634, 1101, 6442, 614, 568, 3335, 1031, 585, 2267, 2358, 538, 9243, 267, 1247, 519, 2034, 6442, 614, 13071, 596, 1689, 24039, 1247, 6117, 269, 0, 19604, 1145, 532, 519, 1379, 540, 23654, 4317, 26930, 585, 15474, 8177, 543, 2657, 454, 2005, 779, 4742, 811, 543, 811, 7805, 602, 4213, 666, 1100, 3476, 581, 3811, 1510, 2921, 883, 7156, 875, 741, 2472, 543, 2533, 1764, 2486, 543, 513, 2754, 779, 2949, 1072, 269, 23654, 4317, 26930, 630, 5425, 305, 264, 568, 513, 2165, 1031, 547, 5581, 3549, 543, 3157, 602, 2832, 547, 2087, 519, 2729, 540, 1004, 267, 2149, 519, 1604, 267, 543, 1711, 513, 811, 4264, 2486, 269, 4498, 1145, 532, 519, 1379, 540, 23654, 4317, 26930, 585, 2318, 1764, 543, 1072, 568, 1898, 585, 519, 3549, 540, 2221, 547, 581, 3811, 543, 5683, 563, 1432, 568, 23654, 4317, 26930, 888, 4263, 922, 4295, 267, 23654, 4317, 26930, 568, 782, 827, 4213, 1818, 3664, 602, 616, 1434, 585, 741, 5520, 267, 5561, 267, 543, 519, 1604, 269, 898, 779, 711, 1152, 827, 9319, 2942, 3527, 267, 855, 849, 13197, 2318, 3527, 602, 786, 2087, 519, 1158, 649, 782, 2661, 538, 269, 2368, 19647, 513, 2754, 1522, 1118, 547, 23654, 4317, 26930, 1131, 581, 547, 1902, 538, 7791, 1648, 267, 2569, 3327, 5434 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 795, 3436, 910, 272, 543, 1775, 2999, 795, 10778, 1038, 4990, 8217, 6910, 16325, 8266, 5157, 7481, 1038, 4990, 8217, 6910, 16325, 8266, 14728, 7481, 1038, 1775, 284, 328, 266, 272, 454, 1038, 795, 284, 329, 268, 272, 454, 825, 952, 7003, 16325, 8266, 264, 4939, 476, 273, 11203, 476, 271, 10778, 1038, 4990, 8217, 6910, 16325, 8266, 5157, 7481, 825, 2132, 4990, 8217, 692, 6358, 8217, 17342, 280, 267, 274, 267, 273, 267, 277, 267, 276, 267, 278, 267, 272, 267, 275, 267, 279, 2639, 2745, 2891, 763, 3312, 1592, 568, 2433, 2580, 3403, 8217, 994, 2745, 2891, 763, 15044, 1592, 568, 14307, 4990, 8266, 9272, 8217, 11723, 0, 3240, 23952, 815, 1193, 9272, 2891, 11767, 519, 5569, 281, 27328, 3240, 8217, 815, 1250, 23952, 21858, 2891, 2437, 994, 8999, 318, 3240, 8217, 815, 476, 271, 3248, 1721, 1775, 538, 1250, 8217, 10778, 825, 2040, 318, 3240, 8217, 6834, 10581, 9217, 994, 2745, 4433, 636, 318, 3240, 8217, 994, 0, 5814, 4351, 692, 3698, 1292, 14682, 600, 1076, 10031, 825, 1267, 815, 4351, 27110, 263, 271, 267, 3607, 994, 825, 2132, 1267, 692, 3698, 13193, 30592, 22674, 712, 28840, 2187, 825, 2699, 815, 1496, 272, 267, 274, 267, 276, 267, 278, 267, 280, 267, 1321, 267, 1691, 267, 1626, 267, 1240, 267, 866, 267, 2641, 267, 2537, 267, 1839, 267, 2767, 267, 1789, 267, 3953, 267, 4097, 267, 3607, 2639, 825, 1025, 330, 815, 1496, 273, 267, 275, 267, 277, 267, 279, 267, 1015, 267, 1556, 267, 1724, 267, 1428, 267, 1704, 267, 736, 267, 2420, 267, 2190, 267, 2918, 267, 2764, 267, 3066, 267, 4029, 267, 3451, 267, 3374, 2639, 825, 952, 1297, 2652, 476, 271, 912, 1038, 2132, 834, 13582, 4840, 825, 8640, 1297, 538, 2699, 912, 1038, 2132, 834, 1042, 4840, 825, 8640, 1297, 538, 1025, 330, 912, 1038, 2132, 834, 18872, 4840, 825, 3116, 912, 1038, 1820, 9497, 527, 13264, 5602, 1038, 2132, 476, 271, 692, 258, 1219, 6742, 9638, 553, 836, 267, 10233, 267, 3077, 267, 7482, 2187, 258, 672, 14404, 326, 815, 834, 24938, 532, 1446, 4840, 258, 672, 1376, 815, 7482, 454, 258, 672, 3094, 815, 476, 271, 454, 258, 672, 2530, 815, 476, 271, 454, 258, 672, 21448, 815, 476, 271, 454, 258, 672, 914, 815, 32488, 836, 454, 258, 672, 1247, 16733, 325, 1495, 338, 2999, 3077, 264, 543, 630, 325, 1495, 338, 3436, 476, 271, 15892, 258, 1363, 952, 2681, 11203, 31133, 1076, 10031, 258, 17264, 1820, 6600, 1495, 338, 994, 258, 17264, 1820, 6357, 564, 994, 258, 17264, 7482, 20699, 914, 454, 258, 17264, 914, 2608, 284, 476, 273, 454, 258, 17264, 2530, 6834, 476, 272, 454, 258, 17264, 21448, 6834, 476, 272, 454, 258, 17264, 1820, 9497, 32039, 1695, 2073, 14255, 1731, 514, 32488, 22462, 18121, 257, 1341, 1193, 6357, 564, 264, 1341, 834, 264, 5602, 258, 1363, 3116, 912, 258, 17264, 1820, 6600, 1495, 338, 994, 258, 17264, 1820, 6357, 564, 994, 258, 17264, 7482, 6834, 914, 454, 258, 17264, 3094, 6834, 476, 272, 454, 258, 17264, 21448, 6834, 476, 272, 454, 258, 17264, 914, 284, 335, 553, 836, 454, 258, 17264, 1820, 9497, 5443, 836, 2073, 2881, 684, 514, 32488, 22462, 18121, 257, 1341, 1193, 6357, 564, 264, 1341, 834, 264, 5602, 258, 672, 952, 7482, 13843, 3077, 912, 258, 1363, 1820, 9497, 5443, 836, 2073, 2698, 546, 3726, 815, 834, 1341, 1193, 6600, 1495, 338, 4917, 258, 1363, 1820, 9497, 20135, 678, 27475, 815, 476, 834, 1341, 1193, 263, 1037, 338, 4917, 258, 1363, 1948, 546, 22182, 19304, 520, 326, 1341, 834, 2437, 1341, 1193, 263, 11034, 264, 1341, 834, 2437, 1341, 1193, 6025, 13759, 264, 1341, 834, 2437, 1341, 1193, 263, 10233, 264, 1341, 834, 2437, 1341, 1193, 263, 7773, 264, 1341, 834, 2437, 1341, 1193, 10857, 1601, 264, 1341, 834, 2437, 1341, 1193, 263, 1037, 338, 264, 1341, 834, 2437, 1341, 1193, 6600, 1495, 338, 264, 1341, 27719, 333, 5602, 258, 672, 3116, 912, 258, 1363, 1820, 9497, 321, 836, 337, 583, 256, 579, 836, 694, 22894, 836, 815, 834, 1341, 1193, 6600, 1495, 338, 4917, 258, 1363, 1948, 546, 22182, 19304, 520, 326, 1341, 834, 2437, 1341, 1193, 263, 11034, 264, 1341, 834, 2437, 1341, 1193, 6025, 13759, 264, 1341, 834, 2437, 1341, 1193, 263, 10233, 264, 1341, 834, 2437, 1341, 1193, 263, 7773, 264, 1341, 834, 2437, 1341, 1193, 10857, 1601, 264, 1341, 834, 2437, 1341, 1193, 263, 1037, 338, 264, 1341, 834, 2437, 1341, 1193, 6600, 1495, 338, 264, 1341, 27719, 333, 5602, 8931, 258, 1219, 3339, 10734, 564, 10031, 672, 692, 8181, 6958, 1495, 815, 476, 1911, 454, 321, 564, 815, 834, 1042, 5016, 321, 23293, 8548, 2292, 815, 476, 272, 454, 15893, 24512, 815, 11713, 1721, 1775, 538, 2039, 263, 271, 267, 276, 2187, 825, 1297, 24512, 6910, 9852, 664, 14682, 600, 1076, 3890, 9239, 3698, 3339, 10734, 564, 28840, 24512, 2073, 2332, 6958, 1495, 2073, 25919, 8548, 2292, 2187, 825, 585, 1297, 538, 1297, 24512, 912, 1038, 25919, 318, 2897, 815, 13193, 30592, 22674, 712, 28840, 994, 1038, 1820, 6357, 23293, 318, 2897, 994, 1038, 952, 25919, 318, 2897, 2652, 914, 912, 2018, 1820, 2891, 7773, 5602, 2018, 2332, 6958, 1495, 815, 2332, 6958, 1495, 1341, 25919, 8548, 2292, 454, 1038, 3116, 912, 2018, 2332, 6958, 1495, 815, 2332, 6958, 1495, 910, 25919, 8548, 2292, 454, 2018, 1820, 2891, 331, 846, 5602, 672, 692, 2745, 263, 8181, 6958, 1495, 2020, 0, 5814, 2979, 454, 5814, 1770, 11687, 692, 3698, 32065, 310, 5416, 14720, 2187, 1038, 2132, 703, 263, 11274, 5416, 265, 321, 1315, 2979, 3052, 7251, 5416, 14720, 4297, 2020, 5035, 674, 2350, 912, 825, 5727, 298, 331, 14505, 1065, 30959, 550, 340, 329, 384, 483, 8619, 579, 22119, 600, 7288, 27969, 692, 825, 1219, 6449, 8181, 9191, 1345, 267, 1535, 284, 271, 267, 586, 284, 272, 2187, 1038, 1948, 1975, 3863, 323, 345, 18081, 267, 524, 5414, 586, 284, 271, 563, 1038, 1582, 11859, 815, 1535, 454, 1038, 1582, 13885, 815, 586, 454, 1038, 952, 12169, 2652, 476, 271, 2187, 2018, 6318, 28759, 3488, 300, 1014, 1144, 1731, 562, 773, 4779, 2763, 676, 322, 887, 1233, 344, 476, 271, 17210, 825, 1219, 14458, 4311, 2187, 1038, 952, 263, 529, 27349, 4311, 267, 842, 15892, 19930, 2132, 1582, 454, 1038, 546, 345, 1408, 815, 2979, 3052, 7251, 4311, 11859, 267, 1345, 13885, 994, 1038, 1535, 815, 703, 4311, 11859, 7933, 345, 1408, 994, 1038, 586, 815, 703, 4311, 13885, 7933, 345, 1408, 994, 1038, 674, 343, 284, 293, 2350, 3287, 11971, 994, 1038, 2132, 674, 343, 11434, 692, 825, 1219, 6449, 1598, 9191, 1345, 2567, 1038, 1948, 1990, 342, 2350, 320, 834, 343, 30819, 257, 561, 889, 834, 343, 257, 546, 5055, 586, 284, 272, 454, 1038, 952, 4311, 13885, 2652, 476, 272, 2187, 2018, 2132, 834, 346, 271, 348, 2668, 8971, 4311, 11859, 994, 1038, 3116, 912, 2018, 2132, 834, 346, 271, 348, 270, 346, 272, 348, 2668, 8971, 4311, 11859, 267, 1345, 13885, 994, 13872, 825, 1219, 6449, 516, 1440, 9191, 1345, 2567, 1363, 1948, 1990, 342, 2350, 320, 834, 293, 2350, 3287, 267, 586, 264, 4840, 1038, 2132, 834, 293, 2350, 20719, 271, 9574, 346, 272, 16585, 2668, 8971, 4311, 11859, 267, 1345, 13885, 994, 825, 1948, 5124, 476, 273, 454, 825, 1948, 3698, 6449, 322, 5404, 9191, 1345, 267, 824, 2567, 1780, 476, 1948, 4699, 335, 263, 2765, 272, 267, 535, 2350, 273, 2020, 825, 1948, 5124, 476, 273, 269, 278, 1775, 5124, 476, 274, 454, 825, 1219, 6449, 18091, 9191, 1345, 267, 824, 2187, 1038, 952, 263, 529, 27349, 263, 1278, 267, 842, 15892, 2018, 2132, 476, 271, 454, 1038, 3116, 912, 2018, 535, 272, 815, 1582, 4732, 574, 680, 1518, 4590, 2018, 535, 273, 815, 824, 4732, 574, 680, 1518, 4590, 2018, 2132, 535, 272, 11859, 2652, 535, 273, 11859, 543, 535, 272, 13885, 2652, 535, 273, 13885, 692, 825, 1219, 6449, 928, 9191, 1345, 267, 824, 2187, 1038, 2132, 711, 1582, 2652, 824, 692, 825, 1219, 6449, 2741, 9191, 1345, 267, 824, 2187, 1038, 530, 1408, 815, 32065, 310, 4311, 13885, 267, 1278, 13885, 994, 1038, 1535, 272, 815, 1582, 11859, 2608, 630, 342, 1408, 270, 1345, 13885, 994, 1038, 1535, 273, 815, 824, 11859, 2608, 630, 342, 1408, 270, 1278, 13885, 994, 1038, 2132, 630, 343, 272, 2999, 1535, 273, 2020, 825, 1219, 6449, 548, 9191, 1345, 267, 824, 2187, 1038, 530, 1408, 815, 32065, 310, 4311, 13885, 267, 1278, 13885, 994, 1038, 1535, 272, 815, 1582, 11859, 2608, 630, 342, 1408, 270, 1345, 13885, 994, 1038, 1535, 273, 815, 824, 11859, 2608, 630, 342, 1408, 270, 1278, 13885, 994, 1038, 2132, 630, 343, 272, 10922, 1535, 273, 2020, 825, 1948, 3698, 6449, 25885, 9191, 1345, 267, 824, 2567, 1780, 692, 825, 1948, 3698, 6449, 613, 9191, 1345, 267, 824, 2567, 1780, 692, 825, 1219, 6449, 5417, 9191, 1345, 267, 824, 2567, 476, 1948, 535, 2350, 272, 266, 2765, 273, 267, 535, 2350, 266, 842, 454, 1038, 952, 263, 529, 27349, 263, 1278, 267, 842, 15892, 2018, 674, 344, 815, 674, 2350, 4311, 13885, 2608, 824, 1341, 1582, 11859, 267, 1345, 13885, 994, 2018, 674, 344, 815, 674, 344, 4732, 574, 680, 1518, 4590, 2018, 2132, 674, 344, 454, 1038, 3116, 912, 2018, 530, 1408, 815, 32065, 310, 4311, 13885, 267, 1278, 13885, 994, 2018, 1535, 272, 815, 1582, 11859, 2608, 630, 342, 1408, 270, 1345, 13885, 994, 2018, 1535, 273, 815, 824, 11859, 2608, 630, 342, 1408, 270, 1278, 13885, 994, 2018, 586, 272, 815, 530, 1408, 454, 2018, 674, 343, 815, 674, 2350, 17301, 3287, 272, 21147, 273, 1070, 703, 12169, 272, 4917, 2018, 674, 343, 815, 674, 343, 4732, 574, 680, 1518, 4590, 2018, 2132, 674, 343, 28329, 825, 6449, 2784, 323, 1029, 815, 6449, 5417, 1029, 23526, 1948, 703, 266, 2765, 692, 825, 1219, 6449, 11357, 9191, 1345, 267, 824, 2567, 567, 1948, 535, 2350, 272, 1922, 2350, 273, 267, 535, 2350, 10784, 454, 1038, 952, 263, 529, 27349, 263, 1278, 267, 842, 15892, 2018, 674, 344, 815, 674, 2350, 4311, 11859, 910, 630, 1345, 13885, 2608, 824, 1070, 1345, 13885, 994, 2018, 674, 344, 815, 674, 344, 4732, 574, 680, 1518, 4590, 2018, 2132, 674, 344, 454, 1038, 3116, 912, 2018, 530, 1408, 815, 32065, 310, 4311, 13885, 267, 1278, 13885, 994, 2018, 1535, 272, 815, 1582, 11859, 2608, 630, 342, 1408, 270, 1345, 13885, 994, 2018, 1535, 273, 815, 824, 11859, 2608, 630, 342, 1408, 270, 1278, 13885, 994, 2018, 586, 272, 815, 530, 1408, 454, 2018, 674, 343, 815, 674, 2350, 17301, 3287, 272, 14870, 273, 1070, 703, 12169, 272, 4917, 2018, 674, 343, 815, 674, 343, 4732, 574, 680, 1518, 4590, 2018, 2132, 674, 343, 454, 825, 1219, 6449, 3464, 889, 9191, 1345, 267, 824, 2567, 8587, 1948, 703, 1922, 2350, 454, 1038, 1948, 4691, 1690, 1582, 795, 652, 535, 2350, 267, 513, 824, 795, 652, 703, 2336, 1038, 2132, 674, 2350, 4311, 13885, 2608, 824, 910, 1582, 11859, 267, 1582, 13885, 2020, 825, 1219, 6449, 332, 592, 9191, 1345, 267, 824, 2567, 1948, 535, 2350, 272, 265, 2765, 273, 267, 535, 2350, 265, 842, 454, 1038, 952, 263, 529, 27349, 263, 1278, 267, 842, 15892, 2018, 674, 344, 815, 674, 2350, 4311, 11859, 2608, 824, 267, 1345, 13885, 994, 2018, 674, 344, 815, 674, 344, 4732, 574, 680, 1518, 4590, 2018, 2132, 674, 344, 454, 1038, 3116, 912, 2018, 1535, 272, 815, 1582, 11859, 2608, 824, 11859, 454, 2018, 586, 272, 815, 1582, 13885, 2608, 824, 13885, 454, 2018, 674, 343, 815, 674, 2350, 3287, 272, 11971, 272, 994, 2018, 674, 343, 815, 674, 343, 4732, 574, 680, 1518, 4590, 2018, 2132, 674, 343, 454, 825, 6449, 3944, 592, 1029, 815, 6449, 332, 592, 1029, 23526, 1948, 703, 265, 2765, 692, 258, 825, 1219, 6449, 15965, 9191, 1345, 267, 824, 2567, 567, 1948, 535, 2350, 272, 270, 2765, 273, 267, 535, 2350, 270, 842, 267, 5124, 476, 273, 692, 258, 825, 1219, 6449, 6113, 643, 9191, 1345, 267, 824, 2567, 1780, 1948, 703, 270, 2765, 267, 5124, 476, 273, 692, 825, 1219, 6449, 339, 29471, 643, 9191, 1345, 267, 824, 2567, 567, 1948, 535, 2350, 272, 270, 2765, 273, 267, 535, 2350, 270, 842, 267, 5124, 476, 274, 454, 1038, 952, 263, 529, 27349, 263, 1278, 267, 842, 15892, 2018, 952, 263, 1278, 2652, 476, 271, 2187, 3546, 6318, 28759, 3488, 301, 773, 4779, 345, 3534, 546 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 289, 312, 681, 9680, 667, 8582, 10064, 454, 307, 18967, 3996, 700, 4774, 2729, 538, 606, 1035, 1941, 1164, 538, 519, 8371, 540, 513, 4279, 18718, 10326, 269, 4173, 3529, 18795, 593, 513, 5679, 3326, 6772, 8504, 26121, 5211, 267, 543, 1352, 543, 1200, 2828, 723, 1614, 9035, 281, 634, 27392, 945, 4503, 1010, 11370, 3960, 267, 27124, 7219, 18844, 267, 543, 21667, 3619, 846, 543, 519, 21009, 268, 1122, 326, 269, 3689, 789, 948, 519, 13520, 945, 4503, 1010, 18388, 1107, 2879, 698, 3022, 593, 513, 555, 1941, 10362, 547, 1989, 17056, 6004, 269, 595, 716, 639, 256, 3973, 789, 3643, 519, 2777, 540, 25882, 595, 821, 543, 3212, 3899, 8000, 543, 13743, 1524, 547, 519, 4262, 547, 2150, 4120, 4239, 22455, 1107, 646, 779, 1932, 1762, 547, 1293, 1010, 7953, 5265, 543, 4991, 873, 6404, 909, 256, 13536, 789, 3460, 547, 519, 16176, 344, 15142, 547, 5873, 689, 10793, 29778, 1018, 2186, 540, 1373, 646, 2731, 568, 267, 543, 10793, 6645, 519, 10565, 9661, 540, 875, 646, 3357, 547, 581, 269, 7053, 267, 1310, 1082, 9035, 2462, 543, 1507, 789, 1265, 856, 945, 519, 1483, 3993, 540, 519, 3368, 268, 1122, 326, 568, 267, 519, 835, 21667, 3619, 846, 1336, 538, 519, 16095, 543, 568, 5462, 547, 24011, 2059, 609, 1200, 1378, 5798, 563, 4322, 616, 2241, 267, 17608, 543, 9589, 8941, 1305, 538, 2470, 269, 9966, 5387, 267, 3325, 1370, 267, 521, 1481, 710, 543, 546, 2651, 267, 789, 616, 5078, 585, 2542, 547, 1762, 1453, 630, 11779, 7124, 547, 3446, 476, 274, 264, 610, 585, 1762, 1453, 547, 1224, 630, 326, 10232, 476, 272, 1107, 476, 275, 1040, 0, 308, 293, 12207, 11622, 908, 547, 17372, 29956, 15302, 454, 763, 4741, 585, 17449, 31814, 729, 3964, 538, 5239, 540, 476, 1220, 271, 547, 18005, 3142, 1927, 11763, 2068, 3173, 543, 19353, 689, 519, 30793, 2471, 540, 19239, 3588, 267, 6925, 543, 27259, 6925, 563, 290, 10938, 585, 7636, 8762, 5735, 454, 763, 4741, 585, 17449, 31814, 3854, 3278, 543, 13976, 2390, 519, 3056, 6316, 1382, 540, 519, 1459, 4295, 540, 23712, 3173, 563, 22487, 585, 7636, 8762, 5735, 454, 19733, 568, 513, 1713, 5692, 540, 519, 4099, 543, 568, 15491, 563, 763, 991, 585, 3194, 454, 1103, 2739, 1190, 15302, 29956, 3676, 616, 1851, 519, 1034, 2565, 1072, 2042, 5001, 269, 1234, 15041, 1120, 532, 11763, 8069, 267, 607, 1134, 607, 1007, 15084, 15033, 12490, 267, 1118, 11763, 3676, 513, 2101, 1072, 1966, 563, 12441, 596, 917, 286, 717, 636, 2068, 814, 1044, 5532, 547, 513, 3099, 540, 824, 1072, 2042, 267, 1519, 281, 2295, 2068, 543, 2295, 6285, 3987, 543, 922, 1852, 8482, 27131, 12263, 454, 12901, 574, 15412, 10118, 543, 17261, 1149, 9453, 4028, 1646, 540, 17059, 15412, 10118, 543, 10074, 267, 649, 3068, 606, 5736, 540, 20427, 2799, 24896, 543, 9019, 689, 11763, 3676, 563, 302, 1537, 6375, 1108, 8276, 15412, 5735, 1382, 1895, 454, 15812, 14355, 10985, 454, 763, 16316, 20051, 540, 519, 17327, 16332, 1108, 19072, 15412, 5735, 3194, 6828, 568, 849, 1634, 607, 519, 4460, 14355, 10985, 538, 8956, 540, 922, 13653, 267, 4460, 14355, 267, 1912, 6185, 269, 630, 4198, 271, 1700, 1220, 271, 264, 0, 2419, 659, 3415, 538, 717, 19724, 454, 30875, 8830, 3250, 630, 1551, 269, 18148, 2826, 1084, 994, 303, 584, 3250, 281, 18004, 5181, 476, 1015, 267, 476, 13679, 280, 267, 538, 31689, 267, 4789, 282, 5747, 972, 5437, 476, 2641, 267, 476, 15433, 276, 2826, 1084, 281, 18004, 5437, 476, 2420, 267, 476, 4489, 274, 267, 538, 8899, 652, 21510, 267, 4789, 282, 5747, 5412, 476, 275, 267, 476, 3192, 277, 267, 538, 25548, 324, 15734, 267, 4789, 454, 30875, 8830, 3250, 267, 835, 540, 519, 1034, 12021, 25803, 538, 4789, 779, 1686, 267, 729, 519, 1418, 626, 693, 519, 30989, 9576, 543, 31689, 30745, 267, 1141, 646, 568, 12617, 269, 1261, 5206, 585, 519, 5939, 267, 585, 519, 14364, 267, 543, 585, 1169, 2186, 540, 4357, 2773, 269, 6145, 20787, 691, 543, 21780, 1564, 810, 18255, 267, 646, 1185, 513, 1279, 543, 11327, 4876, 602, 729, 27772, 883, 513, 10715, 540, 1152, 13977, 29350, 1296, 269, 1261, 729, 519, 1152, 21917, 1354, 808, 269, 590, 269, 29732, 4171, 960, 568, 3769, 538, 519, 556, 13630, 800, 540, 519, 1623, 21620, 32316, 269, 8830, 3250, 568, 1655, 1634, 547, 2221, 779, 9458, 585, 519, 3357, 334, 5920, 1010, 2575, 2306, 538, 18148, 2826, 1084, 779, 8479, 12287, 779, 6651, 547, 519, 2107, 3832, 14259, 563, 27001, 476, 15433, 271, 543, 476, 15433, 276, 4805, 267, 8830, 3250, 7768, 2575, 585, 3592, 15823, 4249, 282, 519, 2575, 729, 865, 3573, 267, 538, 930, 2665, 267, 607, 12303, 547, 6460, 519, 4249, 883, 1766, 553, 269, 3571, 15747, 2575, 2882, 5216, 647, 2572, 543, 1082, 2110, 4773, 585, 3771, 1186, 747, 867, 267, 1079, 5036, 540, 2468, 334, 5067, 21648, 3370, 538, 476, 12739, 274, 267, 543, 2663, 267, 513, 4015, 540, 20646, 553, 5362, 799, 646, 5206, 1472, 476, 12739, 271, 563, 303, 584, 3250, 7768, 519, 932, 659, 3415, 585, 606, 26254, 540, 3423, 338, 267, 6367, 539, 5569, 539, 7405, 609, 1954, 1206, 267, 3335, 4371, 19794, 899, 1591, 657, 610, 5595, 536, 13293, 269, 10251, 267, 519, 4266, 950, 8830, 3250, 7768, 713, 932, 659, 3415, 267, 606, 4830, 960, 267, 568, 711, 1634, 267, 855, 5310, 621, 4646, 851, 540, 930, 10071, 531, 2575, 646, 5206, 585, 513, 1404, 610, 930, 824, 1808, 8317, 269, 589, 669, 659, 3415, 630, 293, 337, 269, 669, 13154, 928, 898, 1421, 524, 13519, 935, 320, 264, 5161, 540, 513, 3126, 540, 7648, 936, 513, 7368, 18369, 1899, 4137, 1634, 607, 26723, 514, 6737, 269, 634, 960, 779, 2140, 568, 8966, 543, 4667, 547, 581, 2189, 281, 621, 1131, 723, 1044, 4397, 547, 1289, 519, 5888, 2048, 577, 13154, 928, 685, 1310, 519, 3943, 563, 303, 584, 3250, 779, 1034, 25442, 23507, 337, 729, 18148, 2826, 1084, 267, 945, 9862, 713, 22192, 932, 659, 3415, 538, 851, 547, 24559, 5716, 543, 9458, 609, 1010, 13747, 31317, 779, 2575, 269, 1323, 5216, 24578, 5501, 18369, 3948, 602, 519, 2539, 12673, 6338, 5713, 607, 519, 5748, 585, 29933, 7648, 269, 769, 930, 540, 519, 7648, 267, 519, 18369, 4137, 5526, 538, 519, 2362, 8686, 334, 5367, 7405, 269, 8830, 3250, 2968, 519, 2063, 2101, 4137, 547, 2263, 713, 1880, 3898, 269, 1261, 2813, 1010, 2575, 693, 519, 27139, 4090, 950, 519, 4587, 3423, 1920, 540, 7405, 729, 4098, 547, 6556, 547, 519, 811, 13085, 4626, 3691, 540, 3423, 1231, 563, 289, 9287, 6192, 519, 11460, 585, 5569, 14415, 564, 538, 476, 3707, 279, 543, 15428, 621, 585, 5569, 32316, 538, 476, 3422, 274, 269, 1261, 8359, 711, 547, 7369, 8830, 3250, 779, 3312, 1931, 540, 4967, 267, 855, 267, 844, 7627, 17722, 28818, 267, 25282, 513, 968, 920, 323, 1043, 6422, 2497, 543, 11007, 540, 12297, 1540, 18819, 543, 3892, 540, 2694, 1848, 2826, 1084, 5206, 281, 968, 763, 6249, 267, 1101, 540, 782, 538, 519, 536, 13293, 267, 7575, 538, 513, 1533, 569, 6752, 689, 513, 1164, 547, 513, 1970, 717, 269, 898, 568, 7368, 1082, 2053, 538, 519, 18369, 609, 8795, 18282, 1657, 269, 898, 1287, 6238, 3001, 1472, 519, 32316, 269, 1703, 568, 513, 844, 11232, 1496, 324, 12915, 4063, 316, 4528, 609, 5230, 22334, 1657, 621, 267, 799, 2488, 519, 1570, 585, 1896, 10221, 1431, 269, 1703, 616, 930, 1863, 543, 1110, 6819, 8747, 540, 621, 267, 543, 513, 8220, 8574, 5012, 547, 513, 3196, 995, 543, 24754, 3948, 538, 717, 5634, 1848, 4340, 547, 2826, 1084, 267, 519, 960, 20147, 609, 968, 320, 1273, 4854, 8390, 267, 609, 21177, 10859, 6709, 28316, 630, 338, 4869, 7570, 4967, 1070, 543, 7368, 2048, 7809, 685, 1765, 303, 584, 3250, 779, 1378, 6044, 3034, 2419, 659, 3415, 568, 20639, 585, 12673, 538, 2185, 2694, 563, 293, 13083, 8535, 689, 519, 3703, 1772, 956, 454, 19906, 269, 20636, 21642, 31763, 564, 994, 763, 20636, 21642, 31763, 564, 814, 6074, 1312, 3703, 543, 29735, 26107, 585, 713, 5542, 269, 1358, 723, 6074, 12563, 2575, 267, 799, 789, 723, 1336, 538, 968, 718, 519, 1507, 4025, 269, 898, 568, 2199, 2575, 267, 855, 607, 971, 568, 849, 519, 2575, 540, 10876, 543, 3025, 1848, 769, 891, 2025, 23964, 267, 789, 723, 1336, 968, 9404, 1619, 5898, 543, 3178, 892, 543, 723, 1500, 12417, 267, 865, 602, 789, 1522, 267, 538, 741, 1913, 267, 968, 28410, 873, 998, 519, 5420, 540, 938, 5569, 14415, 564, 892, 609, 968, 1492, 2856, 540, 2261, 11538, 1079, 2241, 855, 3532, 1919, 267, 12563, 2575, 543, 519, 5569, 14415, 564, 1848, 4329, 267, 968, 2171, 1336, 513, 19619, 540, 5863, 26107, 1107, 543, 649, 4126, 596, 786, 2972, 1018, 649, 1705, 547, 873, 1848, 13018, 267, 538, 6340, 540, 519, 29735, 23964, 267, 519, 26712, 304, 814, 1336, 713, 2575, 547, 581, 968, 13678, 921, 267, 609, 513, 5905, 540, 16678, 14264, 3273, 344, 3034, 21803, 31763, 564, 3143, 269, 476, 1691, 267, 538, 667, 19724, 267, 667, 269, 476, 279, 1015, 12462, 5719, 987, 543, 519, 631, 4660, 523, 892, 994, 29820, 5130, 476, 4029, 267, 476, 9692, 278, 267, 538, 21499, 282, 5747, 972, 5437, 476, 866, 267, 476, 9264, 279, 454, 19913, 340, 6975, 729, 711, 7164, 1282, 1010, 2110, 10715, 267, 855, 2760, 2731, 1185, 606, 1271, 1747, 538, 1857, 7574, 1272, 269, 1261, 5747, 1152, 28465, 3275, 1310, 2142, 29348, 779, 2669, 267, 855, 519, 1079, 25803, 20948, 1114, 966, 1329, 19063, 269, 5576, 340, 6975, 267, 7429, 15917, 323, 333, 267, 20787, 691, 267, 543, 2142, 29348, 267, 1185, 1100, 1489, 689, 14547, 3885, 269, 4014, 646, 1185, 930, 9565, 2828, 267, 646, 5030, 6140, 607, 513, 2539, 1362, 966, 1329, 333, 3150, 267, 543, 1010, 2241, 6197, 1522, 581, 17941, 968, 22517, 1335, 1014, 1848, 1261, 7249, 27935, 609, 2828, 1010, 2085, 267, 1082, 16805, 543, 930, 689, 14547, 3885, 267, 543, 789, 13984, 1857, 7574, 2621, 543, 25343, 519, 4583, 12372, 267, 2523, 2142, 29348, 267, 689, 513, 3845, 563, 5226, 691, 564, 3143, 269, 476, 1691, 267, 1634, 607, 968, 5719, 987, 543, 519, 631, 4660, 523, 2223, 729, 1101, 5340, 538, 5130, 476, 9264, 277, 538, 519, 966, 1329, 333, 3150, 1753, 540, 1079, 23153, 12372, 267, 20913, 543, 30686, 27725, 518, 269, 901, 4190, 14415, 564, 267, 799, 5576, 340, 6975, 5206, 267, 610, 693, 2547, 3459, 538, 476, 9264, 275, 267, 568, 3078, 585, 922, 11733, 543, 9165, 267, 855, 621, 729, 711, 3226, 3811, 693, 1101, 269, 769, 1249, 267, 519, 1101, 3423, 21442, 22695, 1794, 5576, 6269, 11961, 662, 540, 519, 1340, 539, 5576, 6269, 11961, 662, 31763, 564, 799, 6566, 328, 1229, 1082, 540, 2142, 29348, 779, 14415, 1115, 267, 1185, 8373, 4730, 519, 1101, 30413, 851, 1317, 540, 1010, 4359, 2085, 543, 5360, 7134, 547, 5576, 340, 6975, 1310, 519, 1404, 28443, 267, 968, 29662, 750, 267, 713, 568, 4986, 693, 782, 267, 1577, 1134, 4805, 281, 6529, 547, 707, 700, 1221, 518, 1848, 8616, 5576, 340, 6975, 267, 945, 5206, 19939, 5569, 14415, 1115, 538, 782, 267, 7768, 835, 811, 1310, 713, 835, 269, 4014, 646, 2366, 621, 2059, 609, 1079, 824, 14415, 1115, 267, 1614, 1766, 553, 267, 513, 2527, 267, 543, 513, 1623, 21620, 547, 519, 17404, 5576, 2714, 267, 5576, 2714, 8120, 873, 782, 267, 1065, 2391, 602, 5576, 340, 6975, 779, 3902, 729, 1454, 1932, 1164, 267, 543, 602, 646, 1058, 968, 338, 754, 873, 1945, 1447, 2352, 538, 4443, 10569, 1848, 634, 1267, 281, 519, 14415, 564, 729, 711, 3370, 2394, 1310, 5576, 340, 6975, 779, 2669, 269, 2290, 4207, 2689, 689, 519, 1284, 31483, 4053, 1731, 23653, 3832, 661, 559, 14006, 538, 476, 9264, 277, 267, 693, 2547, 267, 729, 2110, 543, 6653, 15663, 602, 538, 2773, 519, 4062, 1185, 968, 1492, 5207, 7499, 20089, 267, 1547, 1547, 1547, 5693, 6829, 269, 4515, 895, 4743, 267, 3196, 543, 19259, 267, 4644, 543, 21755, 543, 19621, 3595, 21656, 1496, 527, 316, 3034, 763, 1279, 1101, 3350, 267, 1325, 5586, 549, 267, 9727, 1390, 1379, 543, 568, 1312, 10565, 543, 13249, 269, 769, 621, 267, 5576, 340, 6975, 849, 10525, 1010, 17117, 540, 25244, 269, 5221, 621, 3568, 865, 1082, 2093, 267, 6754, 26186, 603, 338, 814, 29499, 593, 519, 17784, 339, 4137, 267, 799, 5546, 519, 21044 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 901, 1650, 827, 513, 3068, 1652, 8970, 8152, 330, 6564, 6941, 519, 2495, 540, 3020, 5898, 269, 634, 1257, 729, 2919, 585, 10026, 1377, 1053, 1565, 519, 15011, 1177, 330, 1893, 269, 15011, 1177, 330, 1893, 1152, 269, 1703, 568, 1100, 2296, 8144, 3177, 269, 1323, 5140, 3450, 4199, 585, 4896, 1565, 918, 2033, 26387, 520, 820, 15011, 1177, 330, 269, 0, 23797, 5511, 5525, 540, 11848, 26467, 630, 283, 328, 285, 289, 648, 690, 611, 639, 1767, 320, 9572, 328, 285, 264, 12140, 281, 12830, 6052, 853, 2803, 538, 519, 11848, 5253, 5680, 454, 288, 1375, 2958, 725, 540, 11848, 13798, 630, 289, 648, 690, 611, 639, 1767, 320, 264, 538, 19395, 7345, 267, 593, 519, 7013, 5032, 540, 12397, 13665, 529, 6816, 267, 19903, 2120, 14675, 941, 6594, 609, 13278, 344, 1035, 24065, 923, 2553, 538, 476, 2735, 280, 543, 476, 1960, 271, 269, 715, 976, 1041, 532, 3165, 941, 849, 8947, 538, 1896, 12397, 13665, 529, 543, 8061, 517, 6816, 536, 904, 269, 4014, 17974, 5365, 27864, 1369, 519, 3506, 31965, 11606, 9193, 630, 19587, 949, 9765, 476, 2004, 15992, 7403, 538, 476, 2735, 280, 8612, 602, 1079, 10015, 725, 540, 2937, 11848, 13798, 1927, 16922, 693, 2547, 476, 12010, 2929, 2043, 269, 10395, 1441, 2627, 1858, 540, 891, 1079, 3506, 729, 476, 6795, 25614, 267, 543, 2698, 13947, 729, 476, 1789, 476, 278, 1428, 19726, 630, 26392, 512, 270, 3873, 1040, 6399, 5860, 538, 835, 1153, 729, 476, 11011, 3165, 11305, 340, 544, 269, 769, 519, 824, 621, 729, 476, 28906, 3165, 11305, 340, 544, 267, 1142, 3165, 30939, 513, 2230, 6697, 547, 827, 835, 1560, 3259, 7750, 539, 269, 589, 4130, 1153, 6594, 538, 519, 1482, 4087, 513, 1032, 2663, 1185, 513, 1611, 5860, 540, 476, 7761, 3165, 11305, 340, 544, 269, 6399, 3259, 540, 2121, 2275, 2194, 3293, 3165, 689, 602, 1153, 729, 476, 1240, 269, 278, 4699, 630, 26950, 1070, 543, 1611, 2597, 729, 476, 4510, 269, 276, 575, 269, 3427, 2627, 1858, 729, 827, 476, 275, 269, 277, 25614, 267, 543, 621, 8659, 606, 6059, 476, 27543, 276, 512, 540, 13947, 630, 277, 1626, 512, 270, 3873, 1040, 9717, 602, 1713, 9830, 540, 13947, 7018, 538, 713, 1507, 6712, 540, 519, 19903, 2120, 14675, 3148, 267, 649, 11943, 602, 267, 538, 3069, 267, 6190, 13947, 729, 3524, 652, 1229, 538, 3165, 3506, 1369, 519, 3148, 547, 1489, 1648, 8928, 998, 519, 1426, 1357, 269, 3600, 15064, 7403, 8612, 602, 3165, 693, 513, 1153, 6316, 941, 3677, 630, 339, 13759, 4222, 1496, 4811, 316, 815, 910, 4510, 269, 278, 28108, 267, 6697, 2450, 815, 476, 866, 269, 274, 4699, 264, 982, 20060, 1041, 532, 3165, 11992, 630, 4811, 815, 910, 7871, 269, 275, 28108, 267, 6697, 2450, 815, 476, 279, 269, 275, 4699, 1040, 25672, 25762, 11606, 2282, 513, 1153, 729, 6825, 569, 4389, 269, 14033, 12397, 13665, 529, 6816, 267, 1141, 1216, 5210, 2429, 519, 1216, 6241, 941, 3436, 268, 272, 269, 274, 595, 267, 3165, 941, 16559, 689, 2627, 547, 5377, 269, 1809, 2282, 8061, 517, 6816, 267, 3165, 941, 1455, 1152, 538, 15911, 2627, 7297, 630, 285, 273, 269, 271, 595, 264, 1657, 513, 6825, 5687, 665, 1467, 693, 827, 476, 3374, 544, 267, 855, 711, 4514, 267, 1141, 1216, 2837, 729, 910, 272, 269, 276, 595, 269, 0, 2171, 723, 9619, 519, 1966, 540, 519, 17478, 540, 1591, 1899, 1137, 1282, 519, 1646, 540, 20162, 543, 4887, 538, 519, 7105, 18215, 5229, 269, 634, 1739, 6901, 6542, 602, 2038, 18215, 19512, 2874, 540, 693, 2547, 1079, 4830, 1016, 16647, 2827, 540, 8149, 24888, 2281, 734, 29006, 538, 630, 320, 264, 519, 1250, 8328, 543, 630, 321, 264, 519, 669, 1180, 4088, 545, 22871, 734, 6518, 666, 581, 9308, 9674, 269, 19204, 5833, 689, 3942, 476, 736, 267, 476, 2641, 267, 543, 476, 2420, 18215, 19512, 941, 31796, 585, 476, 276, 554, 538, 519, 4527, 540, 513, 1395, 16438, 4689, 17193, 602, 729, 8385, 9678, 585, 922, 2702, 547, 1033, 778, 4776, 5166, 6053, 1250, 8328, 2281, 689, 29414, 14290, 269, 634, 1033, 3737, 18215, 5229, 2281, 941, 6394, 543, 4562, 730, 538, 3339, 5420, 269, 10738, 476, 273, 546, 5176, 782, 540, 519, 4562, 730, 2281, 1185, 21630, 883, 1250, 29793, 6814, 543, 1250, 582, 25683, 282, 1100, 669, 1180, 549, 4565, 6814, 21630, 538, 891, 4529, 269, 769, 4334, 267, 519, 3312, 740, 6254, 2551, 602, 7283, 1310, 519, 17193, 14001, 1033, 16670, 540, 519, 1250, 8328, 2281, 21630, 7361, 883, 20162, 543, 729, 27507, 540, 4887, 269, 681, 8960, 519, 17193, 1673, 564, 3737, 2281, 630, 328, 4318, 1421, 18187, 908, 1250, 8328, 840, 15479, 832, 543, 2022, 2466, 5328, 1250, 29793, 6814, 264, 538, 5420, 1634, 547, 3895, 669, 1180, 4088, 8412, 1705, 711, 16578, 891, 2281, 547, 669, 1180, 337, 1518, 269, 17957, 267, 556, 2130, 519, 7923, 24888, 2281, 630, 328, 4318, 1421, 669, 1180, 4088, 545, 840, 15479, 832, 264, 538, 5420, 1634, 547, 3895, 1250, 14003, 1705, 711, 16578, 891, 2281, 547, 10929, 1250, 14003, 269, 634, 17046, 1395, 31265, 730, 1250, 29793, 6814, 543, 1617, 514, 16197, 730, 1250, 582, 25683, 941, 4857, 676, 4887, 10391, 12489, 1996, 1769, 5789, 3912, 28009, 610, 964, 2381, 267, 6466, 519, 17046, 669, 1180, 549, 4565, 6814, 941, 4857, 676, 513, 1395, 16438, 4689, 17193, 1996, 519, 23128, 27979, 23253, 11800, 540, 519, 20162, 10391, 9829, 730, 2926, 16570, 4754, 269, 1452, 4681, 616, 14648, 607, 5885, 519, 22871, 8367, 538, 799, 519, 15285, 1982, 540, 513, 1591, 568, 5462, 676, 1797, 540, 18302, 998, 735, 25902, 540, 513, 22871, 563, 20225, 9653, 540, 24888, 1250, 8328, 543, 669, 1180, 4088, 545, 2281, 538, 2038, 18215, 5229, 8544, 523, 16408, 1889, 676, 513, 1395, 16438, 4689, 17193, 563, 268, 14358, 27748, 14358, 454, 268, 7300, 13017, 14457, 454, 268, 9523, 27748, 9523, 454, 268, 9612, 13505, 454, 297, 590, 21692, 267, 589, 9710, 21032, 267, 631, 7414, 328, 267, 670, 4591, 339, 10045, 282, 9484, 9653, 540, 24888, 1250, 8328, 543, 669, 1180, 4088, 545, 2281, 538, 2038, 18215, 5229, 8544, 523, 16408, 1889, 676, 513, 1395, 16438, 4689, 17193, 907, 808, 8426, 22776, 476, 272, 5437, 476, 2735, 275, 282, 476, 4200, 630, 276, 2567, 476, 6977, 277, 1700, 5908, 277, 269, 8222, 281, 4179, 2517, 8742, 3820, 270, 1015, 269, 10482, 274, 10768, 322, 321, 269, 4200, 269, 276, 269, 6977, 277, 454, 12606, 11239, 3758, 281, 0, 5416, 264, 25756, 28538, 728, 630, 321, 264, 12539, 771, 5285, 728, 630, 322, 264, 21193, 4088, 959, 604, 1663, 528, 728, 630, 323, 264, 1912, 6664, 11501, 20008, 2378, 1663, 528, 728, 454, 13480, 5153, 676, 5153, 454, 2414, 2012, 513, 7636, 7623, 267, 649, 1832, 519, 2012, 540, 519, 1101, 3693, 607, 28104, 543, 1152, 1039, 513, 18772, 547, 621, 952, 972, 568, 811, 982, 835, 11046, 540, 602, 3693, 538, 519, 7623, 269, 1280, 519, 2034, 3693, 538, 519, 7623, 267, 649, 1039, 513, 18772, 547, 519, 2012, 540, 519, 3693, 10452, 875, 1082, 8444, 540, 602, 3693, 616, 538, 519, 7623, 269, 1284, 849, 1689, 519, 10678, 547, 1269, 268, 728, 10608, 630, 320, 264, 769, 713, 7623, 267, 972, 568, 835, 7250, 11046, 543, 835, 28538, 710, 11046, 269, 670, 27778, 568, 4122, 1634, 607, 7250, 28538, 728, 267, 855, 621, 666, 849, 581, 1572, 7250, 1395, 984, 668, 728, 269, 630, 321, 264, 769, 713, 7623, 267, 972, 568, 835, 3327, 11046, 543, 1079, 16247, 8444, 269, 1284, 2012, 568, 3327, 771, 5285, 728, 269, 630, 322, 264, 769, 713, 7623, 267, 972, 568, 835, 9436, 11046, 543, 1614, 14806, 710, 8444, 269, 4706, 2012, 568, 9436, 959, 604, 1663, 528, 728, 269, 630, 323, 264, 1284, 723, 835, 16903, 11046, 543, 2947, 8444, 540, 14806, 710, 269, 4706, 2012, 568, 16903, 20008, 2378, 1663, 528, 728, 269, 0, 293, 1716, 663, 10609, 333, 641, 742, 779, 2274, 5800, 11681, 632, 12540, 21838, 924, 543, 5487, 590, 874, 16636, 676, 674, 2946, 997, 1329, 681, 3591, 267, 1312, 9715, 676, 519, 3751, 645, 7596, 537, 514, 7690, 267, 616, 593, 10211, 547, 12670, 779, 1325, 974, 2817, 6549, 24809, 2394, 476, 1704, 5130, 476, 1708, 272, 269, 634, 1568, 7703, 21981, 547, 519, 1713, 1909, 5129, 676, 19934, 538, 519, 1646, 540, 29526, 538, 2342, 563, 763, 1439, 540, 519, 476, 866, 628, 2540, 14754, 519, 4332, 540, 513, 1007, 7499, 3350, 602, 729, 6353, 676, 2283, 7081, 267, 9814, 543, 19450, 640, 267, 607, 1134, 607, 513, 1978, 22906, 585, 9059, 269, 29761, 267, 1373, 4092, 4571, 17574, 1063, 4279, 6628, 543, 519, 1964, 540, 25550, 2342, 267, 729, 513, 2442, 5870, 1747, 585, 5159, 540, 519, 1974, 543, 19934, 3976, 2968, 1945, 540, 513, 13398, 585, 519, 1646, 540, 29526, 538, 2342, 563, 4415, 1010, 5800, 11681, 632, 12540, 21838, 924, 267, 22513, 663, 10609, 333, 641, 742, 5189, 519, 3239, 540, 519, 12357, 4807, 267, 513, 6249, 602, 1131, 1831, 3844, 547, 13507, 626, 5159, 269, 634, 4807, 538, 519, 7206, 568, 10609, 333, 641, 742, 779, 1378, 11078, 543, 544, 2224, 267, 12540, 21838, 924, 267, 7247, 646, 6719, 607, 519, 4998, 267, 855, 849, 12357, 543, 538, 17739, 1043, 4807, 563, 14582, 15001, 29526, 568, 3226, 10058, 998, 922, 2392, 850, 794, 585, 5672, 629, 516, 543, 1232, 611, 550, 5396, 269, 1323, 1383, 568, 5487, 590, 874, 16636, 630, 1492, 21058, 590, 874, 514, 343, 264, 676, 674, 2946, 997, 1329, 681, 3591, 267, 799, 646, 13556, 585, 519, 4015, 540, 2984, 15776, 4144, 21966, 2294, 267, 2854, 676, 808, 2737, 4446, 21161, 546, 685, 288, 675, 341, 11035, 269, 634, 960, 4564, 513, 4807, 554, 19982, 513, 6149, 838, 327, 514, 343, 267, 855, 945, 568, 1373, 838, 1221, 2390, 676, 30616, 267, 21039, 607, 513, 667, 22929, 269, 681, 3591, 25868, 1010, 1974, 779, 6891, 540, 29678, 676, 20498, 569, 1997, 908, 2283, 7081, 543, 24896, 269, 0, 763, 476, 6078, 5174, 12284, 8929, 713, 21933, 1664, 8523, 1175, 8090, 1310, 13472, 1948, 276, 729, 3144, 269, 2368, 811, 4628, 2919, 19711, 21650, 666, 581, 2938, 538, 519, 1482, 19384, 7088, 269, 1879, 519, 8375, 15921, 15252, 9587, 2743, 519, 21050, 18108, 267, 610, 3490, 540, 519, 14404, 14459, 267, 693, 827, 476, 2004, 267, 1822, 3952, 267, 789, 3914, 513, 18109, 543, 666, 1100, 3476, 4473, 26255, 14688, 676, 28681, 269, 634, 7123, 2837, 540, 519, 14404, 14459, 16401, 525, 2417, 740, 328, 629, 1738, 607, 1417, 540, 7509, 602, 814, 1044, 9141, 998, 519, 7708, 1842, 335, 1877, 676, 519, 476, 279, 1700, 1556, 4110, 8276, 850, 561, 8985, 2557, 269, 5502, 267, 4672, 12269, 3262, 23276, 883, 519, 6905, 4963, 6350, 9843, 2938, 538, 713, 8523, 267, 8108, 519, 968, 534, 341, 559, 9843, 892, 602, 649, 2697, 689, 519, 2666, 269, 634, 32067, 267, 13692, 344, 1646, 1472, 519, 8728, 269, 1993, 930, 540, 519, 19711, 21650, 568, 12620, 2747, 734, 4248, 11517, 538, 519, 6531, 568, 7432, 547, 4672, 693, 1164, 15820, 563, 4306, 306, 476, 6078, 5174, 267, 5988, 476, 2735, 275, 269, 16514, 1948, 1556, 268, 6078, 268, 23056, 278, 269 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 17903, 3546, 1247, 6936, 6769, 7386, 579, 324, 828, 933, 529, 2426, 15883, 564, 3394, 815, 703, 9272, 2891, 1692, 1454, 2724, 798, 596, 1616, 547, 2628, 719, 8119, 17903, 7386, 952, 1582, 14857, 27665, 318, 25270, 910, 579, 324, 828, 933, 529, 2426, 15883, 564, 3394, 2999, 476, 271, 6769, 13376, 1820, 2891, 2791, 798, 711, 723, 2614, 2724, 593, 707, 4871, 2272, 10590, 3418, 13376, 1820, 4311, 14857, 27665, 318, 25270, 10142, 7386, 3116, 6769, 13376, 1582, 14857, 27665, 318, 25270, 815, 1582, 14857, 27665, 318, 25270, 910, 579, 324, 828, 933, 529, 2426, 15883, 564, 3394, 1477, 13376, 2736, 1477, 1038, 4849, 6769, 2018, 1820, 2891, 1103, 20777, 3403, 257, 10142, 825, 1219, 7555, 24576, 3698, 4311, 2567, 1948, 323, 21516, 879, 1111, 4048, 1477, 1038, 2119, 6769, 2018, 7555, 4650, 815, 3403, 2891, 2710, 596, 1616, 547, 1118, 513, 7555, 1931, 8119, 3418, 2018, 952, 7555, 4650, 2652, 834, 8133, 257, 610, 7555, 4650, 2652, 834, 13433, 257, 610, 7555, 4650, 2652, 834, 312, 2668, 12294, 3890, 2433, 1477, 3546, 7555, 318, 4650, 318, 6518, 318, 27665, 815, 703, 9272, 2891, 13911, 538, 519, 4871, 2272, 1297, 540, 519, 824, 4871, 2272, 8227, 1701, 17903, 3546, 1247, 6936, 6769, 7386, 7555, 318, 4650, 318, 6518, 318, 27665, 815, 703, 9272, 2891, 1692, 1454, 2724, 798, 596, 1616, 547, 2628, 719, 8119, 17903, 7386, 952, 1582, 14857, 27665, 318, 25270, 910, 7555, 318, 4650, 318, 6518, 318, 27665, 2999, 476, 271, 6769, 13376, 1820, 2891, 2791, 798, 711, 723, 2614, 2724, 593, 707, 4871, 2272, 10590, 3418, 13376, 1820, 4311, 14857, 27665, 318, 25270, 10142, 7386, 3116, 6769, 13376, 1582, 14857, 27665, 318, 25270, 815, 1582, 14857, 27665, 318, 25270, 910, 7555, 318, 4650, 318, 6518, 318, 27665, 1477, 13376, 2736, 1477, 1038, 4849, 6769, 2018, 1820, 2891, 1103, 20777, 3403, 257, 10142, 825, 1219, 2367, 826, 4311, 8029, 1038, 2824, 318, 5443, 826, 815, 3403, 2891, 1432, 798, 596, 1616, 547, 798, 8119, 1477, 4449, 17264, 27719, 333, 5327, 17763, 527, 263, 272, 9385, 339, 28324, 719, 263, 273, 17983, 1477, 4449, 17264, 27719, 333, 9558, 2536, 263, 274, 9385, 339, 18184, 532, 1931, 263, 275, 264, 14744, 1038, 952, 2824, 318, 5443, 826, 2652, 834, 272, 257, 610, 2824, 318, 5443, 826, 2652, 834, 5327, 17763, 527, 257, 610, 2824, 318, 5443, 826, 2652, 834, 9188, 17763, 527, 257, 6769, 2018, 1582, 6155, 788, 21627, 3698, 14052, 2018, 2944, 815, 8771, 1477, 2018, 1247, 711, 2944, 6769, 3546, 3136, 324, 815, 3403, 2891, 2710, 596, 1616, 547, 798, 1945, 3116, 8119, 3418, 3546, 952, 3136, 324, 2652, 834, 8133, 257, 610, 3136, 324, 2652, 834, 13433, 9899, 1948, 528, 834, 312, 2668, 12294, 28399, 7386, 1948, 2745, 2891, 11687, 14744, 7386, 1948, 323, 821, 815, 6936, 1477, 7386, 1582, 269, 5443, 826, 31476, 3546, 8640, 3136, 324, 2652, 834, 5591, 257, 610, 3136, 324, 2652, 834, 7224, 9899, 258, 610, 834, 301, 2668, 12294, 28399, 7386, 1820, 2891, 5970, 513, 1434, 1554, 14744, 7386, 1948, 323, 821, 815, 6936, 1477, 7386, 14827, 31476, 3546, 3116, 6769, 7386, 1820, 2891, 1103, 20777, 3403, 14744, 5897, 1038, 8640, 2824, 318, 5443, 826, 2652, 834, 273, 257, 610, 2824, 318, 5443, 826, 2652, 834, 28324, 719, 257, 610, 2824, 318, 5443, 826, 2652, 834, 335, 599, 719, 257, 6769, 2018, 1582, 4877, 11691, 719, 3698, 31476, 1038, 8640, 2824, 318, 5443, 826, 2652, 834, 274, 257, 610, 2824, 318, 5443, 826, 2652, 834, 9558, 2536, 257, 610, 2824, 318, 5443, 826, 2652, 834, 10520, 2536, 257, 6769, 2018, 1582, 6745, 4920, 2536, 3698, 14052, 1038, 8640, 2824, 318, 5443, 826, 2652, 834, 275, 257, 610, 2824, 318, 5443, 826, 2652, 834, 18184, 532, 1931, 257, 610, 2824, 318, 5443, 826, 2652, 834, 9227, 1931, 257, 6769, 2018, 1582, 269, 9227, 24576, 3698, 31476, 1038, 8640, 2824, 318, 5443, 826, 2652, 834, 276, 257, 610, 2824, 318, 5443, 826, 2652, 834, 19651, 2272, 3666, 257, 610, 2824, 318, 5443, 826, 2652, 834, 17004, 2272, 3666, 257, 6769, 2018, 1780, 258, 24709, 602, 1397, 525, 2272, 3666, 5897, 1038, 8640, 2824, 318, 5443, 826, 2652, 834, 277, 257, 610, 2824, 318, 5443, 826, 2652, 834, 19651, 2272, 8227, 5468, 257, 610, 2824, 318, 5443, 826, 2652, 834, 17004, 2272, 8227, 5468, 257, 6769, 2018, 1780, 258, 24709, 602, 1397, 525, 2272, 8227, 5468, 5897, 1038, 8640, 2824, 318, 5443, 826, 2652, 834, 278, 257, 610, 2824, 318, 5443, 826, 2652, 834, 1689, 2272, 8227, 5468, 257, 610, 2824, 318, 5443, 826, 2652, 834, 1689, 2272, 8227, 5468, 257, 6769, 2018, 1780, 258, 24709, 602, 2242, 2272, 8227, 5468, 24653, 3240, 318, 27665, 318, 26782, 815, 7813, 28398, 302, 1233, 518, 12218, 14052, 3240, 28398, 815, 7813, 28398, 31476, 28744, 30044, 28398, 269, 8873, 28398, 14813, 334, 3890, 3418, 28744, 30044, 28398, 6155, 788, 21627, 3698, 3890, 3418, 28744, 30044, 318, 27665, 318, 26782, 269, 27665, 318, 26782, 318, 3698, 28829, 1948, 29592, 2367, 826, 1711, 2272, 1477, 2745, 30044, 28398, 269, 5443, 826, 3890, 3418, 28744, 30044, 28398, 269, 8873, 28398, 14813, 334, 3890, 3418, 258, 7224, 1013, 32218, 341, 3326, 754, 564, 1477, 0, 18411, 25284, 281, 13698, 312, 292, 20677, 12525, 18185, 6874, 1314, 5729, 476, 1626, 270, 1704, 454, 12041, 281, 28234, 321, 597, 667, 1460, 527, 454, 14630, 281, 476, 1704, 270, 6734, 270, 1001, 277, 454, 20373, 281, 6726, 919, 5177, 4880, 6428, 2456, 1310, 20952, 532, 13698, 312, 292, 267, 623, 3290, 543, 4147, 476, 272, 715, 2975, 585, 476, 1001, 277, 270, 1704, 12525, 5729, 543, 2636, 454, 1492, 2164, 547, 581, 2854, 856, 547, 9786, 268, 2750, 4897, 585, 2417, 2079, 543, 5750, 532, 454, 18411, 5814, 1930, 6853, 343, 331, 454, 18257, 31711, 12525, 4858, 1188, 1115, 543, 26162, 18411, 339, 1314, 10403, 24154, 1188, 564, 284, 8099, 876, 269, 271, 454, 339, 1314, 24154, 1188, 564, 21995, 31948, 299, 1077, 284, 8099, 4905, 269, 271, 454, 339, 1314, 24154, 1188, 564, 21995, 31948, 295, 27941, 284, 17168, 876, 269, 271, 454, 339, 1314, 24154, 1188, 564, 295, 27941, 31948, 299, 1077, 284, 17168, 4905, 269, 271, 454, 339, 1314, 24154, 1188, 564, 21206, 31948, 299, 1077, 284, 5611, 1822, 269, 271, 454, 339, 1314, 24154, 1188, 564, 21995, 284, 271, 269, 273, 454, 339, 1314, 24154, 1188, 564, 295, 27941, 284, 271, 269, 275, 454, 339, 1314, 24154, 1188, 564, 21206, 284, 271, 269, 3393, 454, 18257, 31711, 4147, 476, 272, 2817, 15928, 4858, 1188, 1115, 543, 26162, 18411, 25712, 1320, 11611, 284, 3199, 277, 271, 269, 271, 454, 25712, 21995, 31948, 308, 3899, 21918, 527, 284, 25396, 876, 269, 271, 454, 25712, 21995, 31948, 284, 271, 269, 1321, 454, 25712, 6781, 913, 21995, 31948, 284, 271, 269, 6349, 454, 18257, 24280, 12525, 5131, 9608, 14190, 766, 18411, 3698, 2123, 2704, 869, 766, 4433, 531, 776, 2187, 825, 5786, 26476, 815, 630, 15680, 776, 268, 1911, 1822, 8358, 273, 269, 271, 454, 825, 952, 14057, 285, 1911, 1822, 912, 1038, 2123, 9994, 766, 284, 339, 1314, 10403, 24154, 1188, 564, 3146, 9134, 26476, 454, 1038, 2132, 3193, 263, 271, 267, 26051, 9994, 766, 994, 825, 3116, 912, 1038, 2132, 3454, 10403, 24154, 1188, 564, 454, 18257, 24280, 4147, 476, 272, 2817, 15928, 18411, 3698, 3084, 11900, 4269, 4433, 531, 776, 2187, 825, 952, 14057, 10922, 22078, 1320, 11611, 912, 1038, 715, 11900, 4269, 815, 476, 271, 269, 271, 454, 1038, 2132, 715, 11900, 4269, 454, 825, 8640, 14057, 285, 25712, 1320, 11611, 543, 14057, 27045, 25712, 21995, 31948, 308, 3899, 21918, 527, 912, 1038, 715, 11900, 4269, 14352, 15680, 776, 9539, 296, 1320, 11611, 12684, 25712, 21995, 31948, 454, 1038, 2132, 715, 11900, 4269, 454, 825, 8640, 14057, 285, 25712, 21995, 31948, 308, 3899, 21918, 527, 912, 1038, 715, 11900, 4269, 21995, 14352, 25712, 21995, 31948, 308, 3899, 21918, 527, 9539, 296, 1320, 11611, 12684, 25712, 21995, 31948, 454, 1038, 715, 2862, 985, 4269, 6781, 913, 21995, 14352, 15680, 776, 9539, 296, 21995, 31948, 308, 3899, 21918, 527, 12684, 25712, 6781, 913, 21995, 31948, 454, 1038, 715, 11900, 4269, 284, 301, 11900, 4269, 21995, 266, 301, 2862, 985, 4269, 6781, 913, 21995, 454, 1038, 2132, 715, 11900, 4269, 454, 18257, 24280, 2121, 21946, 776, 281, 14407, 21946, 776, 910, 27404, 910, 715, 11900, 4269, 910, 4747, 307, 1314, 18411, 3698, 2121, 21946, 776, 14116, 1484, 25486, 783, 21946, 776, 28872, 3290, 8110, 1417, 2187, 825, 1948, 14407, 25486, 783, 21946, 776, 284, 15615, 263, 3863, 17750, 2891, 921, 848, 4283, 14407, 5993, 14057, 24097, 333, 27363, 825, 1948, 27404, 8110, 1417, 284, 15615, 263, 3863, 17750, 2891, 921, 848, 4283, 6871, 540, 27404, 6976, 281, 1422, 333, 27328, 825, 27404, 284, 326, 1484, 25486, 783, 21946, 776, 265, 335, 3290, 8110, 1417, 454, 825, 3454, 762, 21946, 776, 284, 326, 1484, 25486, 783, 21946, 776, 1790, 3290, 454, 825, 3454, 762, 13707, 284, 339, 1314, 762, 21946, 776, 1790, 5966, 2704, 869, 766, 14116, 1484, 25486, 783, 21946, 776, 994, 825, 9204, 21995, 284, 339, 1314, 24154, 1188, 564, 21995, 31948, 295, 27941, 265, 339, 1314, 24154, 1188, 564, 21995, 1948, 1952, 15533, 547, 2063, 1079, 2665, 454, 825, 952, 3454, 762, 13707, 10922, 476, 271, 912, 1038, 2698, 1103, 2492, 307, 1314, 815, 476, 271, 454, 1038, 2132, 14407, 25486, 783, 21946, 776, 28872, 3290, 8110, 1417, 28872, 3290, 19885, 1049, 11900, 4269, 14116, 1484, 25486, 783, 21946, 776, 1070, 20135, 1103, 2492, 307, 1314, 25722, 1314, 762, 21946, 776, 5991, 1049, 11900, 4269, 14116, 1484, 25486, 783, 21946, 776, 994, 825, 8640, 3454, 762, 13707, 3436, 476, 271, 543, 3454, 762, 13707, 283, 339, 1314, 24154, 1188, 564, 295, 27941, 31948, 299, 1077, 912, 1038, 2698, 1103, 2492, 307, 1314, 284, 339, 1314, 762, 13707, 265, 339, 1314, 24154, 1188, 564, 21995, 454, 1038, 2132, 14407, 25486, 783, 21946, 776, 28872, 3290, 8110, 1417, 28872, 3290, 19885, 1049, 11900, 4269, 14116, 1484, 25486, 783, 21946, 776, 1070, 20135, 1103, 2492, 307, 1314, 25722, 1314, 762, 21946, 776, 2389, 4973, 1103, 2492, 307, 1314, 5991, 1049, 11900, 4269, 14116, 1484, 25486, 783, 21946, 776, 994, 825, 8640, 3454, 762, 13707, 285, 284, 339, 1314, 24154, 1188, 564, 295, 27941, 31948, 299, 1077, 543, 3454, 762, 13707, 27045, 339, 1314, 24154, 1188, 564, 21206, 31948, 299, 1077, 912, 1038, 3454, 762, 295, 27941, 284, 339, 1314, 762, 13707, 2389, 1314, 24154, 1188, 564, 21995, 31948, 295, 27941, 454, 1038, 9204, 295, 27941, 284, 339, 1314, 762, 295, 27941, 265, 339, 1314, 24154, 1188, 564, 295, 27941, 454, 1038, 2698, 1103, 2492, 307, 1314, 284, 339, 31320, 21995, 266, 339, 31320, 295, 27941, 454, 1038, 2132, 14407, 25486, 783, 21946, 776, 28872, 3290, 8110, 1417, 28872, 3290, 19885, 1049, 11900, 4269, 14116, 1484, 25486, 783, 21946, 776, 1070, 20135, 1103, 2492, 307, 1314, 25722, 1314, 762, 21946, 776, 2389, 4973, 1103, 2492, 307, 1314, 5991, 1049, 11900, 4269, 14116, 1484, 25486, 783, 21946, 776, 994, 825, 3116, 912, 1038, 9204, 295, 27941, 14352, 339, 1314, 24154, 1188, 564, 21206, 31948, 299, 1077, 2389, 1314, 24154, 1188, 564, 21995, 31948, 295, 27941, 12684, 339, 1314, 24154, 1188, 564, 295, 27941, 454, 1038, 3454, 762, 21206, 284, 339, 1314, 762, 13707, 2389, 1314, 24154, 1188, 564, 21206, 31948, 299, 1077, 454, 1038, 9204, 21206, 284, 339, 1314, 762, 21206, 265, 339, 1314, 24154, 1188, 564, 21206, 454, 1038, 2698, 1103, 2492, 307, 1314, 284, 339, 31320, 21995, 266, 339, 31320, 295, 27941, 266, 339, 31320, 21206, 454, 1038, 2132, 14407, 25486, 783, 21946, 776, 28872, 3290, 8110, 1417, 28872, 3290, 19885, 1049, 11900, 4269, 14116, 1484, 25486, 783, 21946, 776, 1070, 20135, 1103, 2492, 307, 1314, 25722, 1314, 762, 21946, 776, 2389, 4973, 1103, 2492, 307, 1314, 5991, 1049, 11900, 4269, 14116, 1484, 25486, 783, 21946, 776, 994, 18257, 2237, 519, 3758, 856, 547, 9786, 268, 2750, 4897, 1210, 519, 1930, 6853, 343, 331, 5399, 18411, 3698, 2328, 318, 29798, 10031, 825, 23445, 284, 271, 269, 10219, 454, 825, 530, 321, 284, 13449, 6853, 343, 331, 269, 13480, 1504, 4590, 825, 6656, 284, 342, 321, 10947, 5334, 18694, 318, 2421, 12173, 3488, 9515, 564, 5073, 825, 6656, 9131, 288, 272, 11172, 8782, 294, 1484, 6428, 776, 7055, 825, 6656, 9131, 289, 272, 11172, 8782, 303, 3290, 20587, 7055, 825, 6656, 9131, 290, 272, 11172, 8782, 303, 3290, 7055, 825, 6656, 9131 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 609, 922, 2818, 547, 3986, 15324, 3800, 1759, 593, 606, 2802, 545, 540, 4187, 547, 17536, 1182, 269, 18321, 2861, 3906, 723, 606, 5683, 17185, 547, 9691, 960, 593, 24905, 1782, 519, 5906, 4296, 1063, 4984, 543, 2528, 602, 2124, 326, 919, 2021, 547, 519, 4357, 12106, 267, 1141, 5208, 1034, 4749, 4386, 269, 5668, 27701, 2686, 8155, 543, 11475, 602, 616, 7873, 11238, 610, 1175, 4328, 5208, 1996, 2021, 543, 1004, 540, 1875, 8410, 14127, 4638, 10066, 568, 2629, 547, 3895, 1480, 2924, 585, 782, 563, 301, 528, 19886, 5783, 22707, 1923, 12056, 5132, 11051, 593, 13834, 2861, 20222, 630, 16412, 309, 994, 293, 4883, 5783, 22707, 1923, 25947, 8171, 998, 2069, 454, 22146, 22707, 1923, 769, 5208, 649, 7340, 945, 649, 941, 454, 16898, 29974, 636, 3316, 334, 1923, 3955, 17304, 603, 16684, 593, 13834, 15369, 20222, 454, 22146, 22707, 1923, 700, 8221, 835, 1776, 267, 513, 13400, 4901, 32367, 593, 26838, 309, 454, 16898, 19137, 1923, 9452, 540, 16593, 281, 674, 18017, 5208, 1996, 2021, 538, 26288, 0, 20373, 2433, 1215, 798, 596, 2268, 1379, 3815, 888, 12585, 2433, 623, 284, 476, 272, 269, 10695, 265, 309, 265, 296, 265, 26714, 287, 1141, 623, 568, 1379, 966, 568, 6453, 594, 568, 1699, 2910, 306, 7711, 568, 623, 12171, 2910, 306, 287, 284, 623, 14370, 272, 269, 10695, 265, 309, 265, 296, 264, 538, 824, 1259, 5430, 7711, 815, 3020, 1379, 270, 1952, 1861, 1379, 454, 20373, 2433, 1548, 568, 519, 946, 540, 1379, 3815, 15494, 888, 20373, 2433, 2052, 596, 723, 513, 1379, 3815, 3152, 982, 476, 272, 888, 12585, 2433, 1284, 3112, 723, 1379, 3815, 3152, 982, 476, 272, 269, 1306, 621, 568, 513, 2268, 540, 25482, 540, 5086, 1063, 6453, 543, 1699, 563, 20373, 2433, 1548, 568, 519, 1655, 1379, 3815, 888, 12585, 2433, 898, 568, 9322, 1379, 3815, 855, 2352, 547, 3035, 538, 6422, 13907, 454, 20373, 2433, 1548, 568, 1379, 3815, 5086, 286 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 267, 621, 779, 2182, 711, 547, 5469, 519, 6653, 32709, 4947, 689, 519, 10477, 4829, 6763, 269, 2060, 936, 476, 736, 268, 3199, 1114, 8677, 540, 4829, 267, 891, 2010, 540, 4829, 723, 24964, 5215, 540, 5195, 689, 741, 3312, 554, 32528, 543, 616, 7996, 547, 581, 851, 540, 938, 17175, 16152, 563, 763, 5812, 3761, 540, 2518, 3132, 814, 11292, 721, 513, 1032, 15778, 3761, 540, 8949, 4829, 267, 2943, 621, 814, 24401, 6150, 938, 25903, 538, 19825, 12119, 3132, 563, 293, 8816, 543, 3132, 6492, 1655, 950, 789, 616, 538, 4005, 1107, 789, 616, 1454, 21950, 538, 6492, 543, 1419, 6492, 1114, 689, 1346, 1099, 10999, 12873, 10366, 269, 3371, 616, 476, 1015, 2010, 540, 4829, 602, 616, 6738, 538, 15173, 15158, 610, 538, 15231, 2127, 538, 7013, 3624, 269, 9105, 585, 891, 3132, 693, 707, 2199, 9240, 6203, 1282, 741, 22691, 12405, 543, 2972, 519, 1655, 540, 519, 2927, 640, 10366, 2336, 347, 272, 269, 21060, 630, 418, 509, 367, 418, 358, 503, 994, 13510, 9005, 782, 1032, 5180, 609, 8445, 7727, 1063, 5239, 543, 4989, 267, 24453, 616, 519, 3143, 269, 476, 272, 9513, 4829, 538, 15173, 15158, 269, 1358, 616, 2523, 2442, 1851, 4587, 5481, 267, 1317, 621, 568, 4922, 1634, 676, 22242, 607, 513, 6171, 595, 2707, 602, 666, 2061, 543, 13468, 2589, 540, 4411, 543, 2770, 269, 634, 6455, 2557, 3788, 1164, 267, 1256, 1498, 538, 2487, 1296, 824, 4829, 723, 1044, 15469, 585, 741, 1072, 2640, 269, 1280, 1383, 267, 1368, 6072, 267, 11993, 543, 13099, 11535, 616, 1631, 849, 1634, 585, 741, 1164, 12192, 595, 1543, 563, 347, 273, 269, 13495, 18288, 21060, 630, 418, 509, 495, 1315, 17276, 358, 502, 994, 2026, 835, 540, 519, 1455, 20521, 4829, 3812, 538, 932, 7776, 345, 17924, 4975, 610, 2473, 514, 327, 14241, 10588, 538, 7013, 3624, 267, 8260, 18288, 10538, 568, 513, 14583, 540, 10538, 602, 568, 1454, 4130, 267, 13035, 543, 4418, 2678, 538, 6492, 269, 1358, 616, 2356, 2139, 1472, 5239, 267, 609, 8445, 12405, 1063, 5412, 543, 11354, 16635, 269, 1358, 616, 849, 4922, 2139, 1282, 4457, 1715, 5729, 267, 2094, 922, 12332, 968, 330, 600, 892, 18922, 547, 4154, 538, 519, 22616, 2158, 324, 13172, 563, 8448, 982, 1373, 513, 22273, 5534, 267, 519, 12015, 890, 1564, 540, 519, 8260, 18288, 24453, 616, 849, 2808, 513, 3407, 16392, 10786, 538, 5607, 269, 634, 12015, 890, 1564, 1572, 968, 7770, 14039, 892, 2270, 512, 1052, 4958, 514, 543, 8821, 850, 339, 514, 267, 799, 616, 20521, 32064, 6950, 1634, 585, 2178, 3601, 538, 4550, 13611, 267, 1973, 6077, 14304, 543, 11522, 5786, 269, 1358, 616, 4922, 1031, 538, 4457, 4915, 547, 4339, 1055, 11522, 338, 267, 897, 1091, 543, 10447, 269, 4706, 10826, 568, 1454, 3152, 950, 789, 616, 6740, 3476, 1354, 1373, 1031, 1107, 519, 4587, 519, 890, 1564, 267, 519, 811, 10475, 789, 616, 563, 347, 274, 269, 19748, 517, 630, 418, 359, 372, 418, 359, 361, 994, 3519, 8877, 519, 1034, 12192, 595, 1851, 782, 20521, 5613, 267, 621, 568, 513, 2442, 4829, 3773, 547, 10425, 630, 324, 3052, 269, 476, 5367, 11993, 7401, 264, 538, 15173, 15158, 269, 634, 1079, 1455, 8677, 12630, 538, 15173, 15158, 616, 4457, 19790, 976, 543, 5375, 19790, 976, 269, 4457, 19790, 976, 723, 5394, 267, 6109, 2960, 543, 513, 1279, 1560, 267, 1247, 5375, 5214, 19790, 976, 616, 1454, 4130, 538, 2450, 267, 899, 519, 24558, 27482, 19790, 976, 269, 1358, 616, 2356, 19122, 12725, 538, 4864, 543, 5181, 563, 347, 275, 269, 631, 24546, 630, 420, 488, 496, 31563, 994, 4415, 4627, 540, 8677, 267, 689, 20034, 13355, 5613, 547, 1346, 1454, 3677, 538, 2450, 899, 513, 1507, 5283, 517, 267, 27335, 568, 513, 12119, 4829, 602, 814, 1044, 1500, 2139, 782, 1032, 5180, 538, 7013, 3624, 269, 28611, 13881, 4195, 267, 621, 568, 835, 540, 519, 1034, 7678, 344, 267, 6484, 958, 3638, 4829, 585, 1585, 4457, 11951, 267, 1519, 12608, 9088, 267, 28916, 267, 10425, 543, 1256, 29902, 8286, 269, 4706, 1377, 540, 5567, 9775, 4470, 593, 27335, 8677, 267, 855, 789, 782, 2270, 1164, 2157, 540, 12498, 21307, 582, 2940, 602, 666, 948, 2087, 11315, 267, 1166, 21294, 2960, 543, 5818, 4761, 1062, 563, 347, 276, 269, 14465, 3570, 630, 421, 355, 503, 420, 499, 487, 994, 2026, 835, 540, 519, 9510, 16916, 10786, 17675, 21064, 267, 621, 568, 513, 4829, 5065, 547, 14913, 5607, 269, 898, 568, 849, 835, 540, 519, 4102, 4829, 3812, 11451, 609, 1082, 8677, 269, 634, 1034, 2442, 2010, 6738, 538, 15173, 15158, 1331, 968, 24456, 664, 19337, 5608, 968, 290, 822, 754, 880, 14465, 3570, 5608, 968, 299, 2426, 962, 320, 669, 26820, 5608, 968, 1320, 2967, 19337, 5608, 543, 968, 289, 17879, 19337, 9731, 1103, 4457, 2245, 267, 7233, 664, 14465, 3570, 568, 5156, 547, 723, 811, 4105, 1648, 543, 2640, 1813, 547, 922, 6632, 3959, 267, 4061, 621, 568, 513, 19463, 1826, 6738, 538, 1082, 14252, 540, 1715, 17197, 1559, 267, 15173, 15158, 269, 10871, 11396, 2356, 7556, 7233, 664, 20397, 950, 789, 616, 3039, 1063, 4873, 543, 5239, 563, 1103, 2489, 267, 20397, 1184, 513, 4411, 3959, 538, 4457, 4915, 602, 568, 1434, 585, 519, 7181, 269, 898, 2337, 3132, 1560, 12862, 267, 2569, 4835, 3002, 543, 5848, 523, 24026, 269, 6762, 538, 11379, 267, 20397, 666, 2226, 519, 1480, 1591, 3252, 543, 519, 1560, 779, 3679, 1532, 848, 3666, 267, 2087, 13487, 1599, 267, 2539, 1973, 2604, 543, 865, 6139, 519, 13285, 563, 347, 277, 269, 10370, 3832, 324, 630, 420, 491, 498, 22909, 507, 994, 30943, 547, 7013, 3624, 267, 621, 568, 513, 4832, 4829, 602, 568, 6738, 593, 28033, 4054, 609, 1100, 811, 982, 476, 1015, 332, 538, 4463, 269, 898, 568, 2356, 19122, 1063, 2904, 543, 5147, 269, 26597, 11430, 3832, 324, 28212, 616, 1336, 538, 519, 2871, 836, 323, 784, 11662, 269, 1358, 616, 1360, 6653, 609, 513, 27536, 9329, 543, 616, 1419, 3773, 538, 1082, 1114, 18397, 8286, 563, 1103, 2757, 4457, 4915, 267, 11430, 3832, 324, 568, 1634, 585, 922, 968, 17742, 892, 3959, 585, 4758, 4835, 3002, 267, 865, 835, 1058, 711, 8532, 713, 4829, 23494, 269, 898, 568, 15695, 711, 547, 8532, 811, 982, 476, 280, 4773, 3232, 269, 4706, 10347, 17642, 880, 4195, 17870, 666, 581, 1434, 585, 20993, 1648, 543, 5355, 1973, 10009, 269, 898, 666, 849, 948, 547, 7794, 519, 4761, 1062, 543, 2087, 838, 22220, 10638, 267, 799, 3123, 5312, 13165, 563, 347, 278, 269, 7043, 534, 630, 421, 378, 491, 419, 506, 376, 994, 30943, 547, 3624, 543, 3127, 267, 7043, 534, 9428, 538, 28033, 4054, 609, 6502, 909, 547, 476, 3199, 1107, 476, 1911, 1296, 2025, 269, 898, 568, 513, 2442, 4832, 4829, 538, 15173, 15158, 609, 18009, 2287, 5712, 538, 5147, 543, 4864, 269, 4107, 7043, 753, 538, 15173, 15158, 616, 16865, 543, 540, 513, 3099, 3957, 968, 293, 8500, 534, 892, 602, 568, 1804, 538, 4829, 2450, 267, 609, 1507, 6079, 543, 5394, 17870, 269, 769, 2199, 4584, 3917, 712, 268, 1144, 11396, 267, 835, 666, 849, 1265, 513, 3099, 602, 568, 1507, 538, 4829, 2450, 609, 2462, 5452, 269, 1452, 1507, 5214, 1279, 753, 616, 3812, 689, 2025, 4054, 609, 17870, 602, 568, 811, 23599, 543, 24253, 538, 6492, 563, 28074, 899, 519, 11430, 3832, 324, 267, 1279, 534, 568, 2219, 547, 2285, 4835, 968, 17742, 892, 543, 835, 1058, 711, 8532, 621, 23494, 269, 4340, 547, 4457, 4915, 267, 621, 666, 581, 1031, 547, 3986, 519, 2295, 543, 838, 22220, 267, 16138, 880, 519, 13285, 543, 7794, 519, 1560, 1310, 4576, 269, 898, 666, 849, 581, 1031, 585, 8156, 8411, 770, 1156, 807, 267, 7340, 6888, 267, 20026, 267, 2295, 27621, 14591, 267, 17350, 543, 2367, 16964, 698, 807, 563, 347, 279, 269, 10753, 638, 520, 630, 22909, 485, 23521, 371, 994, 23192, 689, 8828, 3624, 267, 621, 568, 2139, 1282, 3735, 5162, 610, 2038, 5614, 269, 898, 568, 4122, 10057, 4195, 610, 607, 25888, 267, 21297, 610, 1769, 21360, 269, 898, 568, 4922, 1634, 585, 922, 2702, 547, 844, 26067, 19818, 543, 865, 1054, 519, 11563, 267, 4061, 621, 568, 513, 2442, 12146, 585, 11522, 12772, 610, 21360, 269, 13268, 539, 609, 12498, 21307, 582, 2940, 267, 4731, 545, 3679, 267, 3632, 878, 3679, 267, 6171, 645, 272, 543, 6171, 595, 267, 3138, 638, 520, 814, 519, 2702, 547, 9004, 9854, 267, 2061, 897, 1091, 543, 3083, 1518, 2960, 269, 898, 666, 849, 948, 4894, 943, 5586, 332, 543, 14867, 11522, 338, 950, 11273, 607, 513, 17339, 267, 1927, 609, 4457, 30646, 543, 535, 761, 16736, 15620, 269, 6271, 2241, 8945, 568, 547, 3575, 621, 538, 3905, 1216, 609, 9932, 563, 347, 280, 269, 654, 600, 701, 324, 630, 421, 375, 481, 7461, 362, 994, 30943, 547, 7013, 3624, 267, 621, 568, 19497, 1634, 607, 968, 290, 5055, 639, 6511, 561, 753, 1756, 6100, 717, 3497, 538, 9244, 1085, 5034, 28033, 4054, 538, 1507, 18812, 6438, 13421, 267, 530, 600, 701, 324, 18009, 839, 1282, 4873, 543, 5147, 538, 1082, 15173, 15158, 2199, 11396, 269, 2060, 513, 30993, 5594, 1114, 1851, 519, 8677, 267, 922, 6653, 543, 11877, 17145, 568, 4122, 1031, 538, 4457, 4915, 269, 654, 600, 701, 324, 17870, 666, 948, 4894, 943, 5586, 332, 543, 3895, 12536, 267, 543, 666, 581, 25496, 585, 946, 538, 14304, 519, 7181, 269, 634, 3762, 267, 5072, 543, 5452, 540, 530, 600, 701, 324, 849, 723, 824, 16392, 2418, 267, 1818, 621, 513, 3810, 9833, 4829, 563, 347, 1015, 269, 4095, 979, 846, 9440, 630, 418, 366, 373, 13200, 502, 31878, 994, 13528, 28861, 1634, 607, 968, 303, 1506, 961, 13183, 639, 2377, 997, 320, 5608, 621, 9428, 538, 18812, 6438, 13421, 538, 28301, 4054, 609, 3529, 15627, 7363, 476, 272, 1107, 476, 274, 15432, 1164, 269, 634, 15708, 616, 827, 476, 272, 269, 276, 4699, 8006, 538, 2450, 543, 723, 1769, 3039, 880, 5835, 2681, 602, 7140, 2699, 950, 18009, 2989, 269, 2060, 513, 6653, 543, 11877, 1310, 339, 4292, 267, 789, 616, 7363, 13881, 4195, 610, 607, 2892, 1540, 610, 12873, 1106, 563, 1103, 2474, 540, 2757, 4457, 4915, 267, 4095, 979, 846, 9440, 568, 1634, 547, 723, 513, 4411, 3959, 585, 21757, 4835, 3002, 543, 17212, 1324, 15319, 11563, 269, 898, 666, 948, 5848, 523, 9641, 267, 3247, 11522, 338, 543, 1521, 3987, 269, 634, 3762, 540, 519, 4095, 979, 846, 9440, 616, 849, 1031, 607, 16392, 2126, 538, 17212, 1324, 14927, 1145, 267, 1019, 675, 6776, 3797, 267, 30046, 543, 26253, 269, 634, 3762, 616, 6394, 1282, 4832, 543, 2038, 2887, 1247, 519, 4829, 568, 19122, 1282, 15489, 543, 5162, 563, 296, 786, 6338, 811, 4829, 602, 568, 6738, 538, 15173, 15158, 267, 610, 538, 15231, 2127, 538, 519, 7013, 3624, 538, 2999, 320, 513, 284, 3269, 4947, 4930, 269, 0, 2704, 26891, 10824, 543, 6656, 27810, 616, 4646, 676, 8429, 11956, 1063, 20061, 896, 2604, 547, 1118, 621, 3476, 543, 25182, 538, 519, 4287, 538, 799, 621, 568, 6410, 269, 1325, 26891, 10824, 616, 835, 540, 519, 4909, 3029, 6964, 538, 4496, 2324, 2094, 789, 666, 581, 2759, 543, 18761, 883, 1585, 5546, 543, 7306, 269, 1325, 26891, 10824, 616, 2442, 1813, 547, 741, 1164, 8112, 267, 1942, 7145, 267, 543, 2647, 2039, 540, 3681, 269, 1325, 26891, 10824, 616, 4122, 2139, 538, 9344, 540, 476, 8099, 271, 6953, 1691, 267, 476, 31746, 273, 6953, 3953, 267, 476, 4968, 274, 6953, 1691, 267, 543, 476, 2568, 277, 272, 6874, 277, 269, 6103, 476, 4968, 274, 6953, 1691, 11956, 10824, 616, 6793, 543, 8246, 538, 13875, 10833, 267, 10178, 19059, 267, 13688, 267, 543, 19970, 1115, 269, 6103, 476, 31746, 273, 6953, 3953, 568, 519, 16999, 543, 6964, 538, 2604, 8043, 267, 543, 519, 5663, 540, 16669, 669, 817, 529, 1949, 269, 6684, 267, 3446, 476, 2568, 277, 272, 6874, 277, 568, 14809, 11259, 267, 3362, 28891, 2111, 543, 2178, 267, 855, 621, 19380, 930, 540, 922, 4222, 1247, 13841, 269, 901, 3446, 540, 11956, 6676, 568, 8246, 538, 2413, 8484, 3889, 269, 1325, 26891, 6676, 568, 2139, 585, 513, 2647, 2039, 540, 23212, 267, 476, 3583, 278, 276, 1373, 519, 1034, 4122, 1031, 18585, 269, 901, 18585, 568, 4122, 6964, 538, 23825, 543, 7286, 6080, 269, 1325, 26891, 6656, 27810, 616, 8246, 585, 513, 2647, 2039, 540, 3156, 269, 898, 568, 6964, 538, 14903, 4703, 538, 519, 16669, 5823, 1247 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1945, 811, 899, 968, 14585, 22046, 775, 540, 6101, 543, 11347, 2609, 538, 1148, 3034, 1103, 12416, 649, 2743, 609, 971, 8847, 607, 561, 758, 822, 337, 1777, 320, 12845, 4157, 541, 3570, 267, 968, 31742, 532, 519, 3350, 630, 528, 5106, 264, 540, 519, 1158, 2223, 543, 586, 334, 2048, 344, 600, 5260, 321, 6409, 334, 561, 758, 553, 5984, 2560, 28571, 344, 600, 621, 344, 705, 327, 573, 12011, 622, 267, 968, 6518, 1374, 919, 519, 17271, 2470, 540, 519, 1158, 31865, 610, 1586, 267, 1018, 568, 547, 581, 17820, 593, 519, 3942, 568, 1285, 553, 628, 3570, 267, 968, 1718, 1431, 892, 610, 968, 655, 10899, 3871, 2223, 610, 519, 5869, 267, 681, 4821, 267, 610, 519, 899, 267, 568, 2219, 540, 607, 519, 2203, 267, 606, 20915, 320, 269, 769, 3624, 267, 538, 519, 3791, 17374, 540, 670, 338, 773, 327, 14208, 267, 649, 723, 968, 6097, 547, 2470, 630, 342, 340, 267, 476, 14096, 6507, 264, 1118, 3337, 630, 26387, 532, 267, 476, 5379, 272, 278, 264, 27535, 543, 519, 1455, 2663, 8360, 554, 28410, 521, 24175, 267, 968, 4537, 1901, 3146, 5145, 28917, 2223, 538, 519, 1482, 1259, 4667, 547, 5581, 1148, 607, 606, 32649, 540, 7186, 269, 769, 3567, 267, 1530, 9564, 267, 519, 1390, 2278, 543, 10404, 540, 3143, 267, 31234, 602, 519, 6575, 540, 2575, 543, 15472, 2874, 7357, 538, 32649, 630, 3000, 558, 2033, 1916, 4913, 267, 952, 649, 15475, 602, 782, 713, 10522, 513, 17748, 540, 1148, 607, 1945, 5275, 922, 19870, 538, 519, 14282, 2009, 4485, 547, 21903, 649, 4927, 581, 7494, 19451, 269, 898, 786, 2408, 27057, 602, 649, 1058, 20093, 8449, 538, 1139, 3151, 602, 1306, 328, 1738, 1148, 4564, 606, 968, 728, 531, 892, 1158, 267, 513, 1158, 968, 728, 531, 1242, 892, 538, 519, 2442, 630, 338, 550, 14939, 267, 3909, 264, 2631, 540, 519, 1913, 267, 602, 568, 267, 3501, 539, 610, 1121, 1245, 539, 683, 13145, 547, 519, 2295, 779, 7287, 282, 799, 941, 621, 865, 1522, 581, 4330, 607, 513, 1025, 5684, 1335, 344, 1996, 519, 7198, 540, 17828, 15232, 267, 543, 513, 524, 2106, 673, 28595, 540, 1272, 3294, 269, 1284, 4927, 1265, 602, 1306, 328, 1738, 1148, 568, 4998, 538, 519, 6310, 2631, 282, 899, 7186, 630, 333, 520, 3120, 562, 4405, 753, 1070, 711, 538, 5920, 630, 341, 714, 269, 602, 540, 1671, 562, 4405, 1092, 1070, 855, 538, 5106, 563, 2005, 1058, 581, 7691, 602, 689, 519, 4095, 630, 5471, 7469, 9713, 264, 543, 7647, 2880, 2798, 540, 2070, 267, 16148, 543, 6662, 616, 711, 9048, 935, 4290, 762, 6688, 267, 835, 540, 799, 1590, 581, 9833, 607, 1483, 547, 519, 17181, 540, 519, 824, 269, 18712, 630, 25823, 5984, 264, 7449, 1235, 972, 1141, 519, 4111, 1043, 543, 24534, 2743, 538, 519, 1455, 9322, 540, 1373, 267, 543, 3112, 581, 2219, 540, 607, 4540, 538, 3294, 3544, 543, 6306, 689, 267, 855, 2864, 607, 267, 1702, 610, 5075, 267, 602, 568, 267, 1152, 538, 1249, 563, 5472, 713, 568, 849, 22466, 538, 519, 7647, 2880, 4214, 540, 5168, 607, 740, 2801, 638, 26559, 556, 328, 1696, 6457, 639, 267, 17127, 779, 3961, 540, 519, 9997, 609, 1018, 621, 6487, 267, 610, 2687, 547, 853, 7338, 267, 968, 32474, 2501, 827, 538, 865, 2484, 607, 519, 1843, 1634, 568, 1369, 519, 917, 518, 892, 630, 8999, 269, 634, 565, 1421, 594, 267, 1627, 269, 476, 6795, 267, 589, 269, 476, 273, 1070, 538, 9097, 27171, 547, 519, 17748, 540, 1702, 543, 1373, 607, 4830, 6411, 267, 799, 1448, 540, 2070, 568, 1152, 25401, 267, 543, 711, 5612, 267, 4570, 269, 25927, 908, 713, 689, 5626, 547, 24396, 2474, 267, 649, 1058, 2161, 711, 602, 2696, 814, 1702, 267, 855, 602, 11310, 630, 303, 675, 2271, 5878, 267, 16217, 329, 3534, 264, 568, 835, 540, 519, 4408, 540, 2696, 630, 15367, 568, 6986, 957, 5148, 610, 21042, 903, 1227, 267, 676, 606, 8446, 540, 9861, 630, 338, 520, 264, 609, 11106, 630, 31842, 1070, 607, 538, 519, 1134, 8153, 6677, 22760, 566, 5485, 2275, 527, 12845, 7701, 630, 3602, 621, 568, 13974, 22466, 602, 2648, 7449, 1235, 1152, 538, 519, 957, 540, 2648, 267, 711, 538, 519, 24158, 610, 11537, 855, 538, 5742, 563, 3086, 607, 547, 521, 7310, 1910, 320, 281, 21055, 10096, 616, 1623, 23724, 2225, 267, 598, 1606, 25630, 640, 282, 6281, 10096, 267, 11558, 267, 21658, 269, 2334, 12716, 521, 7310, 1910, 320, 1281, 711, 17538, 2067, 1143, 267, 2357, 529, 574, 559, 3363, 267, 14745, 267, 610, 21903, 538, 1022, 21603, 2631, 568, 18481, 3254, 676, 519, 1249, 602, 538, 4095, 8638, 540, 2188, 1898, 547, 7206, 621, 568, 3592, 2141, 5018, 609, 623, 1090, 3570, 267, 968, 322, 761, 19118, 540, 5168, 2223, 1934, 968, 728, 531, 8167, 31865, 538, 519, 4095, 6436, 540, 1702, 12170, 8343, 630, 7468, 520, 344, 6545, 320, 264, 607, 23478, 1152, 513, 1449, 267, 543, 711, 519, 1570, 540, 3069, 267, 568, 9833, 607, 519, 2547, 4570, 10838, 519, 1585, 533, 1090, 11446, 269, 623, 1090, 3570, 786, 581, 5941, 811, 4628, 2630, 282, 1934, 621, 786, 3411, 823, 547, 1448, 856, 602, 519, 3586, 7681, 540, 521, 7310, 1910, 320, 543, 623, 1090, 3570, 538, 8638, 540, 519, 30304, 538, 10367, 267, 585, 1383, 519, 14520, 7799, 2125, 267, 840, 11079, 938, 4758, 547, 2901, 2165, 513, 2495, 6366, 569, 17591, 532, 602, 540, 519, 824, 269, 26758, 1106, 543, 2067, 3337, 267, 4352, 3982, 538, 6240, 267, 941, 711, 22885, 607, 538, 5570, 839, 9092, 267, 855, 2864, 607, 14626, 1211, 538, 519, 1455, 9322, 540, 519, 3090, 563, 1103, 31898, 7595, 267, 521, 7310, 1910, 320, 568, 11609, 676, 519, 1383, 968, 763, 1762, 812, 568, 513, 17794, 892, 630, 289, 28496, 337, 2466, 571, 267, 2806, 327, 573, 3873, 8686, 337, 26152, 2173, 27074, 6390, 267, 533, 269, 1704, 267, 543, 4122, 20926, 11992, 5148, 543, 713, 21658, 1360, 1134, 9727, 1018, 568, 2731, 5921, 676, 12716, 968, 574, 2787, 6100, 23849, 889, 663, 16852, 267, 2806, 327, 573, 327, 1301, 752, 6242, 267, 26577, 267, 623, 748, 7562, 267, 26076, 269, 476, 18231, 267, 476, 27005, 267, 6941, 519, 6935, 540, 1702, 630, 341, 6359, 333, 3570, 264, 547, 922, 1843, 676, 6031, 602, 1702, 14340, 1152, 538, 519, 957, 540, 6616, 267, 676, 606, 7525, 21939, 630, 339, 611, 752, 541, 1092, 264, 547, 922, 1843, 267, 9444, 917, 518, 6862, 1634, 4540, 6306, 689, 519, 957, 540, 1702, 563, 763, 2470, 540, 519, 21939, 630, 339, 611, 752, 541, 1092, 264, 568, 11609, 676, 519, 521, 7310, 1910, 320, 540, 6079, 543, 4829, 267, 799, 568, 835, 540, 23483, 1757, 1275, 269, 634, 27526, 11535, 13305, 320, 2478, 11986, 4214, 540, 521, 7310, 1910, 320, 630, 638, 6838, 676, 30605, 2871, 24473, 267, 3778, 540, 4095, 13898, 267, 594, 267, 476, 28760, 264, 642, 714, 269, 512, 611, 321, 327, 4883, 520, 557, 2893, 328, 512, 611, 326, 1092, 1532, 327, 8500, 617, 9618, 2173, 822, 3430, 600, 267, 568, 12777, 968, 1492, 2783, 540, 8508, 538, 3294, 1919, 540, 513, 32032, 2470, 799, 616, 3982, 689, 3294, 2223, 610, 811, 13713, 519, 2783, 540, 968, 1211, 640, 538, 3017, 3034, 306, 7310, 1910, 320, 568, 1287, 968, 13678, 559, 3363, 2223, 855, 2864, 971, 607, 568, 22466, 676, 968, 13678, 850, 892, 982, 676, 968, 13678, 592, 659, 5300, 1848, 898, 568, 538, 1249, 6654, 602, 519, 6010, 8864, 1063, 4376, 543, 1022, 6041, 540, 621, 3112, 581, 513, 6010, 8864, 540, 2470, 267, 855, 1590, 581, 12746, 673, 610, 32055, 267, 610, 1312, 540, 891, 269, 1548, 519, 6041, 708, 527, 919, 568, 519, 2856, 610, 2249, 540, 519, 3364, 267, 676, 799, 621, 568, 1634, 6457, 1302, 267, 2864, 982, 519, 6219, 540, 519, 3364, 607, 621, 568, 9228, 676, 519, 12823, 563, 306, 7310, 1910, 320, 267, 968, 6665, 783, 19359, 2223, 814, 18562, 1044, 4122, 31495, 2181, 1540, 607, 2348, 547, 798, 609, 1079, 23079, 267, 602, 540, 519, 960, 540, 1148, 543, 602, 540, 519, 2203, 269, 898, 4016, 267, 2965, 267, 547, 513, 2298, 28025, 1582, 8410, 22633, 1369, 519, 960, 540, 1148, 3294, 267, 513, 19359, 540, 2790, 543, 2283, 1049, 2188, 538, 519, 960, 269, 901, 19359, 568, 8197, 26922, 547, 519, 19359, 540, 1268, 543, 6219, 538, 519, 3364, 547, 581, 968, 574, 18469, 31865, 855, 519, 1843, 543, 519, 960, 540, 1148, 616, 10446, 5462, 267, 1142, 547, 922, 1378, 1434, 267, 543, 9308, 538, 5570, 839, 9092, 267, 1373, 519, 1482, 1152, 607, 547, 1826, 563, 306, 7310, 1910, 320, 607, 519, 2666, 630, 335, 2784, 327, 3570, 264, 540, 7206, 949, 581, 3379, 547, 19300, 640, 320, 607, 519, 1560, 630, 306, 926, 571, 264, 540, 6965, 267, 9846, 3989, 607, 519, 968, 4621, 550, 540, 3280, 543, 2495, 892, 630, 338, 629, 323, 14390, 320, 1070, 543, 547, 32646, 1575, 5984, 267, 3954, 7627, 519, 2460, 783, 11558, 540, 1523, 543, 829, 1061, 1898, 547, 1702, 269, 22353, 267, 519, 10421, 540, 521, 7310, 1910, 320, 1281, 711, 8806, 711, 23868, 519, 6101, 3693, 538, 1148, 267, 855, 9797, 31234, 519, 13766, 540, 513, 6677, 867, 540, 3182, 3645, 543, 6101, 2609, 269, 634, 2898, 1448, 540, 2070, 13890, 1657, 568, 2907, 22466, 538, 519, 918, 9476, 527, 13403, 772, 3966, 529, 611, 267, 8633, 267, 476, 279, 267, 1141, 519, 2283, 1049, 543, 4111, 1043, 630, 845, 531, 264, 2609, 540, 5920, 616, 13747, 607, 536, 327, 25917, 2173, 21358, 543, 9299, 329, 3534, 2173, 21358, 267, 543, 621, 568, 7682, 539, 602, 968, 339, 745, 569, 267, 689, 2901, 4805, 267, 1100, 2460, 630, 745, 11985, 264, 31049, 1131, 581, 3812, 269, 0, 19617, 2730, 2025, 22251, 1185, 4843, 1148, 540, 3618, 2348, 1079, 9352, 6801, 734, 704, 4257, 11021, 602, 519, 606, 857, 757, 1185, 1634, 1945, 602, 649, 1810, 1405, 269, 1280, 3236, 267, 519, 1412, 309, 1195, 333, 747, 2494, 11245, 262, 630, 9610, 271, 781, 264, 1185, 11609, 513, 9352, 3141, 1062, 593, 1896, 540, 922, 3817, 269, 30180, 1524, 519, 15529, 8559, 609, 721, 593, 12423, 519, 2495, 540, 891, 1079, 10877, 269, 2353, 540, 938, 2835, 1101, 1459, 513, 9522, 540, 4396, 2963, 593, 519, 6450, 639, 4605, 13410, 543, 1287, 11884, 3801, 547, 796, 24160, 519, 2495, 540, 1346, 11580, 998, 930, 2864, 6264, 559, 13228, 550, 6436, 269, 12876, 9963, 267, 713, 1880, 15529, 8559, 4422, 1256, 4514, 982, 519, 1866, 563, 23763, 547, 1232, 1712, 519, 23876, 1412, 309, 1195, 333, 747, 2494, 11245, 262, 286, 901, 1433, 20205, 4267, 734, 663, 8591, 513, 2189, 8095, 593, 519, 12383, 540, 519, 1079, 10877, 269, 898, 568, 513, 1390, 4605, 2861, 23555, 5758, 7650, 540, 519, 2963, 540, 519, 8144, 540, 519, 23876, 1412, 309, 1195, 333, 747, 2494, 11245, 25692, 295, 611, 972, 1044, 6450, 639, 4605, 2262, 13410, 538, 519, 11247, 540, 519, 1412, 309, 1195, 333, 747, 2494, 11245, 262, 11021, 602, 938, 3141, 814, 513, 9352, 18618, 286, 4429, 7049, 516, 281, 3163, 1299, 4569, 20099, 281, 476, 276, 1240, 9664, 630, 1015, 267, 6872, 274, 22995, 264, 700, 2056, 281, 3502, 2037, 12574, 1520, 4765, 281, 4119, 476, 276, 628, 267, 476, 1708, 271, 454, 1607, 1433, 26564, 519, 2164, 540, 476, 274, 1296, 540, 6694, 543, 26216, 10411, 10614, 3646, 543, 4294, 1382, 5342, 2047, 538, 519, 4299, 2127, 540, 30738, 2313, 9874, 1739, 519, 4279, 5101, 3567, 32495, 820, 269, 898, 6257, 3728, 543, 2500, 25954, 2409, 543, 4066, 689, 23329, 543, 5982, 14796, 267, 7152, 998, 519, 10319, 3646, 540, 3173, 267, 1053, 267, 2199, 6705, 267, 4104, 5411, 267, 543, 25772, 10356, 896, 519, 19519, 2160, 540, 11982, 5101, 3567, 26859, 5741, 269, 3117, 12371, 540, 2185, 2694, 267, 519, 1101, 851, 540, 519, 1433, 2488, 606, 7650, 540, 519, 3441, 543, 3800, 3144, 547, 7753, 873, 676, 519, 2199, 25772, 543, 519, 19519, 2160, 540, 11982, 269, 634, 2034, 851, 6799, 1239, 543, 2164, 540, 6694, 6051, 689, 519, 23329, 4534, 585, 1383, 267, 5464, 1949, 267, 16646, 3631, 267, 543, 10375, 267, 1970, 21057, 2409, 2919, 585, 519, 11808, 540, 23329, 1673, 600, 3042, 533, 23098, 4610, 269, 634, 3791, 851, 6212, 593, 6051, 689, 4429, 7049, 516, 281, 3163, 1299, 4569 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 563, 2252, 513, 1268, 568, 2469, 585, 1022, 14691, 2022, 610, 513, 5816, 1287, 789, 1522, 723, 8068, 875, 27723, 519, 5752, 1893, 814, 6738, 1369, 519, 2250, 1906, 1296, 563, 12988, 538, 476, 1001, 277, 9226, 814, 8719, 808, 16787, 288, 538, 1169, 1153, 543, 12621, 543, 602, 779, 1141, 519, 4473, 540, 9226, 3576, 1747, 563, 3719, 782, 649, 782, 917, 952, 972, 616, 5294, 972, 786, 581, 931, 849, 269, 3767, 596, 1590, 581, 3206, 1946, 782, 540, 513, 6727, 9226, 18965, 538, 971, 513, 4028, 1259, 269, 4208, 711, 595, 10030, 1946, 711, 808, 16787, 288, 7097, 3009, 888, 23911, 568, 513, 26460, 585, 1346, 945, 616, 1007, 547, 519, 8193, 1158, 269, 898, 3947, 596, 519, 2702, 547, 11716, 519, 24631, 1919, 2864, 1445, 593, 519, 3730, 543, 3078, 1919, 563, 2690, 3236, 5124, 814, 519, 2702, 547, 2196, 2789, 3292, 1510, 4657, 1022, 3344, 7429, 824, 5752, 4654, 269, 4270, 267, 952, 596, 616, 513, 808, 16787, 288, 17354, 1287, 596, 666, 2285, 519, 10872, 513, 9240, 990, 344, 9403, 563, 3719, 9367, 798, 711, 2141, 4782, 9240, 990, 1465, 269, 5124, 3091, 596, 2647, 3914, 538, 29026, 267, 8021, 267, 5943, 543, 11890, 899, 4578, 2257, 267, 3684, 1565, 543, 1357, 1646, 563, 3963, 1058, 596, 979, 585, 9226, 538, 476, 1708, 272, 888, 2252, 596, 616, 8348, 547, 1451, 9226, 855, 711, 2386, 1946, 596, 1616, 547, 979, 585, 621, 267, 1287, 1934, 616, 2947, 12006, 4128, 540, 1946, 596, 1058, 581, 2469, 585, 9226, 538, 476, 1708, 272, 269, 13298, 2469, 585, 1022, 824, 5752, 4654, 899, 808, 16787, 288, 610, 595, 10030, 563, 300, 22389, 4804, 814, 6738, 6385, 538, 519, 2063, 7008, 540, 1296, 269, 898, 568, 4657, 3388, 649, 1294, 1472, 721, 563, 2704, 326, 3596, 916, 616, 4742, 10427, 1554, 676, 1554, 269, 634, 1655, 1383, 540, 3684, 1565, 568, 24440, 3406, 5690, 563, 11386, 3406, 5690, 1775, 529, 4543, 1142, 540, 721, 676, 3246, 721, 519, 4890, 1267, 585, 1018, 649, 616, 24584, 269, 3502, 1152, 713, 267, 621, 849, 814, 513, 10004, 4216, 547, 3391, 721, 607, 1134, 267, 538, 2013, 649, 3068, 1022, 4990, 540, 2152, 610, 7965, 563, 1607, 5690, 568, 5039, 531, 950, 621, 2501, 547, 3684, 1565, 1893, 269, 5124, 2306, 713, 1184, 1454, 4443, 563, 11039, 267, 1498, 972, 616, 1082, 3684, 1565, 8021, 2139, 538, 28162, 269, 1809, 596, 786, 1265, 811, 1543, 538, 9226, 563, 6546, 779, 1946, 476, 280, 856, 540, 476, 1015, 9367, 4782, 9226, 950, 621, 2501, 547, 4578, 2257, 610, 10724, 1565, 563, 763, 1434, 2025, 1646, 568, 1776, 2601, 1946, 513, 1268, 1058, 979, 585, 9226, 269, 898, 3091, 513, 2647, 2039, 540, 8021, 543, 10850, 899, 30622, 24546, 543, 4469, 2532, 799, 2306, 1357, 1646, 811, 4443, 543, 6899, 563, 763, 4305, 267, 799, 3217, 3108, 538, 23285, 267, 1175, 3217, 513, 1906, 3764, 609, 5124, 269, 898, 568, 849, 1031, 538, 513, 2603, 540, 1357, 16150, 532, 563, 5278, 540, 519, 2442, 7270, 616, 968, 16446, 9016, 892, 519, 3003, 5752, 540, 23749, 814, 1044, 2944, 1210, 5124, 563, 10574, 2257, 568, 835, 540, 519, 1292, 4128, 1946, 782, 519, 23501, 616, 1565, 9226, 269, 2776, 16227, 9226, 729, 1031, 585, 2679, 3156, 543, 585, 1603, 20072, 585, 12957, 563, 3719, 1631, 9226, 814, 10575, 26661, 519, 2898, 1007, 7678, 540, 4578, 3163, 269, 5358, 11302, 610, 519, 4578, 3163, 1004, 4782, 9226, 936, 1022, 824, 1893, 269, 5124, 16134, 267, 1390, 2146, 543, 7207, 547, 5173, 5458, 2338, 540, 9273, 267, 2306, 621, 513, 6325, 2707, 563, 5278, 540, 519, 4583, 9226, 543, 5943, 799, 616, 2442, 538, 1239, 2257, 4610, 616, 2433, 8894, 268, 17455, 553, 799, 568, 1031, 585, 1239, 2079, 454, 268, 715, 17056, 799, 568, 1031, 585, 6613, 20143, 543, 3621, 9273, 563, 268, 32287, 543, 1530, 629, 1941, 799, 568, 1031, 585, 4578, 10439, 1436, 563, 268, 2233, 18145, 2443, 6258, 799, 568, 10724, 4804, 5678, 454, 268, 32150, 6503, 543, 918, 10327, 799, 568, 1031, 585, 3684, 543, 2620, 1565, 563, 763, 2165, 14464, 11106, 610, 3642, 19752, 519, 2104, 540, 519, 4947, 5736, 563, 4467, 1584, 619, 543, 26682, 616, 1031, 547, 5173, 5230, 9273, 693, 513, 1025, 5074, 3432, 269, 1809, 1631, 2462, 14540, 2073, 13318, 13699, 543, 3173, 616, 4058, 547, 1711, 606, 10995, 3684, 799, 786, 1685, 4247, 899, 3425, 798, 563, 1103, 519, 1279, 2196, 6191, 786, 581, 5827, 2614, 547, 1174, 3425, 685, 8186, 543, 4664, 543, 741, 4654, 607, 1134, 269, 1635, 1210, 9226, 267, 23501, 666, 798, 782, 891, 8631, 799, 941, 711, 2009, 1354, 563, 5278, 540, 519, 9226, 8021, 799, 616, 1031, 547, 1628, 5841, 4987, 616, 281, 8894, 268, 715, 299, 307, 298, 2443, 7849, 1893, 32367, 585, 7849, 1893, 4393, 563, 268, 7046, 4211, 309, 2443, 7046, 2707, 8950, 5075, 5399, 563, 268, 918, 10327, 2443, 12213, 4804, 7732, 563, 268, 9786, 15465, 15484, 2443, 14173, 2443, 12213, 1565, 5943, 563, 23911, 2306, 519, 1272, 540, 513, 27732, 4443, 676, 3678, 908, 22696, 6137, 513, 3896, 269, 898, 666, 581, 1031, 547, 2445, 1239, 267, 12957, 540, 1449, 2665, 538, 3301, 1646, 2127, 267, 543, 2870, 13128, 27217, 5604, 4247, 563, 23911, 814, 519, 2702, 547, 1224, 610, 547, 1205, 1569, 547, 782, 519, 6119, 543, 32766, 799, 17990, 513, 2603, 540, 2053, 585, 519, 23501, 610, 519, 9367, 689, 3257, 16625, 960, 563, 763, 2186, 540, 5399, 610, 519, 5943, 1031, 538, 28290, 616, 281, 8894, 268, 31584, 17563, 454, 268, 17286, 22431, 5124, 563, 17798, 267, 676, 2469, 547, 519, 2798, 649, 666, 3362, 1205, 513, 2312, 2070, 602, 9226, 568, 1454, 811, 6325, 543, 3608, 585, 519, 23501, 538, 519, 1279, 2196, 563, 1692, 596, 666, 1451, 5124, 454, 2467, 616, 3670, 2081, 676, 799, 596, 666, 1451, 9226, 563, 268, 16237, 6533, 519, 9238, 2443, 898, 782, 6238, 609, 519, 9238, 513, 1268, 610, 513, 27732, 1058, 1451, 543, 1174, 519, 2035, 543, 519, 2474, 540, 519, 5752, 1893, 1354, 519, 3593, 4422, 585, 1565, 563, 268, 9457, 519, 8629, 2443, 18112, 5034, 14691, 2443, 8629, 2443, 18112, 5034, 5752, 568, 513, 1259, 540, 6061, 782, 2042, 676, 3206, 827, 519, 1483, 1158, 2152, 538, 519, 1106, 540, 3615, 543, 5049, 563, 268, 6258, 3375, 1818, 543, 1852, 2095, 2443, 2991, 596, 616, 2944, 609, 519, 9238, 519, 27732, 1058, 979, 585, 519, 3375, 1818, 538, 5752, 1893, 563, 268, 6657, 14691, 2443, 1677, 1118, 3054, 513, 1434, 27732, 596, 991, 547, 2285, 3054, 519, 3003, 1554, 6061, 1114, 6688, 540, 2042, 269, 1924, 267, 547, 581, 513, 1434, 27732, 2259, 568, 16601, 563, 268, 12861, 707, 1378, 1357, 813, 676, 1210, 5943, 2443, 769, 971, 513, 14691, 1604, 267, 519, 1982, 585, 7746, 2427, 568, 1031, 538, 9226, 563, 268, 15775, 3054, 547, 960, 593, 5124, 3785, 2443, 589, 5358, 1067, 1058, 979, 585, 519, 9226, 3785, 543, 1628, 741, 1378, 2093, 269, 898, 786, 5818, 519, 1268, 607, 1134, 547, 1628, 519, 4876, 540, 519, 1268, 543, 1118, 519, 1268, 513, 1434, 5358, 1067, 563, 1103, 4653, 779, 942, 972, 568, 513, 5318, 2208, 538, 9226, 5752, 1893, 538, 1169, 5823, 543, 538, 1169, 2872, 269, 1924, 7446, 971, 14691, 1893, 786, 9090, 948, 596, 1831, 513, 1434, 27732, 563, 28775, 713, 2376, 814, 5818, 539, 513, 2370, 3787, 540, 707, 1702, 827, 9226, 269, 1403, 596, 1616, 547, 1224, 811, 827, 3642, 267, 1224, 938, 2376, 827, 3096, 540, 513, 328, 538, 6080, 563, 9596, 5124, 689, 2872, 7721, 704, 1206, 269, 3643, 1934, 2433, 5680, 20142, 1571, 0, 16675, 8111, 16639, 971, 607, 9454, 592, 2088, 267, 932, 331, 648, 12848, 267, 543, 9791, 8566, 2240, 13641, 2801, 782, 2270, 28060, 267, 3940, 267, 6171, 645, 268, 1321, 267, 1898, 9761, 3679, 717, 6369, 267, 10250, 6886, 543, 824, 5567, 538, 513, 1106, 602, 568, 3362, 15849, 23624, 676, 519, 1480, 1560, 269, 5682, 18274, 269, 898, 2337, 547, 1625, 1518, 519, 6797, 543, 9004, 13802, 689, 1426, 21187, 267, 13851, 267, 18168, 267, 543, 5061, 269, 898, 568, 849, 5363, 538, 9427, 5230, 8407, 689, 519, 1560, 269, 769, 2474, 540, 3935, 1072, 267, 28060, 568, 513, 2067, 1884, 1047, 10364, 547, 519, 15499, 8778, 269, 898, 2337, 3247, 519, 2208, 543, 1646, 540, 6757, 4551, 538, 519, 3935, 543, 2429, 519, 1560, 269, 25914, 19780, 17212, 1407, 19228, 676, 5009, 2962, 538, 519, 6091, 540, 519, 3935, 6821, 269, 898, 849, 2337, 25580, 8697, 3935, 5160, 543, 9004, 22024, 19221, 689, 16789, 2732, 269, 769, 31911, 267, 3039, 2706, 3536, 723, 5280, 10038, 1973, 4006, 543, 8488, 18965, 1646, 540, 9025, 2068, 676, 4227, 519, 18687, 540, 25928, 8501, 547, 16617, 269, 901, 568, 1713, 2094, 621, 568, 519, 12444, 1242, 8501, 602, 804, 9233, 938, 16209, 269, 9454, 592, 2088, 543, 9791, 8566, 2240, 13641, 2801, 723, 1279, 1044, 1031, 547, 2333, 1648, 267, 1521, 2860, 543, 5312, 9854, 267, 543, 3622, 12954, 519, 4761, 1062, 269, 1703, 779, 2614, 1719, 538, 2890, 14607, 2801, 602, 25710, 32214, 267, 27179, 267, 543, 6375, 739, 574, 17419, 21555, 689, 519, 2706, 3039, 3536, 723, 1044, 9678, 543, 31601, 269, 769, 1896, 1382, 2090, 267, 9454, 592, 2088, 814, 1044, 3254, 547, 6175, 27831, 1938, 543, 8501, 269, 589, 1880, 9454, 592, 2088, 30713, 21839, 728, 814, 1044, 3254, 547, 948, 1832, 16209, 2973, 676, 7303, 519, 2208, 540, 10077, 5160, 543, 30034, 519, 1973, 269, 769, 513, 1353, 689, 519, 6481, 5441, 540, 9098, 267, 932, 331, 648, 12848, 729, 13950, 547, 513, 1895, 540, 1164, 1973, 12503, 2550, 609, 1100, 824, 4915, 269, 11778, 4951, 602, 932, 331, 648, 12848, 22485, 1973, 2604, 547, 3339, 2157, 585, 476, 1839, 260, 540, 519, 1895, 269, 11524, 4810, 930, 6175, 543, 9039, 540, 519, 2550, 1185, 606, 2333, 538, 1973, 2604, 607, 1131, 581, 4397, 952, 932, 331, 648, 12848, 3177, 1100, 4324, 269, 9454, 592, 2088, 267, 932, 331, 648, 12848, 267, 9791, 5682, 13641, 2801, 543, 824, 3039, 15988, 797, 338, 616, 2139, 693, 1072, 1426, 8637, 269, 20152, 20736, 560, 568, 513, 28571, 1755, 12949, 545, 4387, 945, 22595, 634, 5682, 5600, 267, 513, 6171, 267, 10786, 543, 1072, 1426, 4558, 538, 28224, 267, 7147, 269, 0, 289, 992, 731, 6019, 7256, 570, 4669, 956, 454, 5353, 320, 16015, 616, 7286, 20641, 602, 723, 1044, 1472, 2094, 519, 942, 540, 519, 17878, 267, 936, 476, 8099, 2929, 1296, 3516, 269, 4653, 267, 972, 616, 5722, 2249, 540, 4262, 16015, 5001, 543, 519, 2947, 2249, 1336, 538, 8419, 616, 6870, 676, 5313, 1876, 269, 645, 992, 731, 6019, 14014, 4262, 16015, 676, 5885, 3646, 547, 18359, 741, 21224, 543, 538, 21226, 9249, 563, 289, 992, 731, 6019, 814, 476, 2918, 5195, 540, 23795, 267, 476, 2190, 5195, 540, 799, 616, 16913, 585, 14854, 21224, 2534, 676, 519, 645, 992, 731, 6019, 7256, 25725, 11094, 5358, 630, 6195, 4306, 9573, 1040, 645, 992, 731, 6019, 568, 2808, 513, 968, 4364, 1756, 29213, 892, 21224, 1858, 676, 519, 8419, 12551, 543, 13812, 11094, 8189, 543, 14747, 606, 3328, 540, 476, 273, 267, 1822, 20097, 12422, 563, 6195, 4306, 9573, 7351, 715, 20535, 570, 582, 1023, 454, 265, 2026, 540, 476, 275, 270, 1789, 270, 2641, 269, 715, 20535, 9103, 1023, 2992, 476, 2190, 5195, 540, 645, 992, 731, 6019, 779, 23795, 267, 27195, 519, 3220, 269, 966, 517, 667, 269, 631, 714, 749, 7232, 3121, 9652, 3557, 5244, 267, 543, 616, 519, 1034, 2487, 2338, 4080, 676, 519, 7460, 4306, 9573, 269, 4578, 616, 16861, 269, 0, 31807, 523, 657, 589, 2231, 30609, 819, 267, 18335, 910, 476, 1789, 7325, 476, 6245, 271, 454, 11900, 18675, 267, 538, 1018, 568, 1631, 519, 14861, 710, 6243, 267, 7389, 11360, 547, 519, 561, 277, 628, 11416, 267, 950, 1325, 12534, 715, 2317, 345, 519, 5053, 17135, 729, 1244, 2216, 23690, 519, 13794, 540, 6742, 710, 345, 594, 1537, 320, 267, 543, 2663, 25855, 547, 8050, 607, 513, 26956, 269, 4595, 713, 2038, 4266, 1082, 26201, 723, 3144, 1747, 585, 519, 1852, 540, 519, 2229, 563, 1103, 5147, 476, 6245, 271, 1869, 1776, 4838, 729, 538, 3356, 538, 519, 11662, 540, 11370, 523, 4141, 15718, 637, 267, 543, 513, 1507, 1033, 16670, 540, 3057, 1149, 729, 15354, 585, 519, 4027, 540, 519, 1977, 3117 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 7495, 14510, 267, 10902, 269, 23985, 3730, 610, 3407, 269, 1496, 5228, 476, 1428, 628, 524, 24358, 4596, 12613, 7495, 14510, 267, 10902, 269, 630, 984, 26207, 264, 8682, 29027, 282, 2123, 13418, 610, 5413, 269, 1496, 1626, 628, 268, 866, 628, 524, 24358, 4596, 12613, 7495, 14510, 267, 10902, 269, 630, 31754, 264, 21984, 2326, 267, 6694, 543, 824, 3119, 2472, 607, 3615, 540, 1804, 8397, 9467, 538, 7463, 15377, 563, 4596, 12613, 7495, 14510, 267, 10902, 269, 630, 5658, 7566, 264, 25613, 27075, 7007, 5370, 6353, 676, 513, 1970, 7443, 14345, 267, 607, 13747, 689, 6216, 539, 2472, 563, 4596, 12613, 7495, 14510, 267, 10902, 269, 630, 11321, 343, 1143, 264, 32506, 799, 814, 1312, 513, 946, 17032, 543, 606, 5385, 17032, 563, 4596, 12613, 7495, 14510, 12327, 6224, 3198, 12283, 267, 10902, 269, 630, 325, 12099, 264, 630, 698, 3472, 675, 264, 1323, 3919, 5665, 896, 513, 1305, 540, 676, 331, 9155, 6322, 693, 5009, 4123, 538, 835, 610, 811, 21113, 676, 3246, 2533, 543, 3652, 585, 519, 2932, 540, 4123, 563, 4596, 12613, 7495, 14510, 12327, 6224, 20315, 2464, 267, 10902, 269, 1773, 1116, 540, 20161, 5385, 454, 4596, 12613, 7495, 14510, 27107, 298, 4953, 267, 10902, 269, 589, 2344, 1141, 6151, 610, 3119, 2472, 616, 22121, 563, 4596, 12613, 7495, 14510, 19294, 2969, 267, 10902, 269, 29133, 602, 568, 3812, 543, 7856, 593, 606, 4853, 4336, 267, 543, 666, 581, 11751, 543, 4421, 593, 519, 20161, 6990, 454, 4596, 12613, 7495, 14510, 19294, 2969, 267, 10902, 269, 630, 4785, 264, 630, 13768, 264, 29133, 7856, 998, 519, 22340, 20161, 1426, 3892, 1982, 454, 4596, 12613, 7495, 14510, 267, 10902, 269, 15080, 540, 16450, 563, 24552, 616, 2141, 3478, 6671, 1242, 547, 930, 6281, 2495, 269, 898, 568, 835, 540, 519, 1568, 540, 6965, 547, 1491, 519, 1854, 1218, 538, 26692, 543, 3142, 873, 1394, 547, 741, 1318, 12823, 269, 0, 310, 4292, 1299, 1234, 7094, 539, 10049, 538, 22493, 5303, 454, 280, 270, 1724, 270, 1001, 275, 5788, 22493, 27822, 282, 11957, 1299, 6396, 540, 9657, 282, 1234, 7094, 539, 2326, 689, 6405, 3653, 269, 26402, 540, 1635, 1790, 20094, 538, 22493, 5303, 269, 23113, 1500, 540, 13381, 2326, 269, 31875, 538, 519, 946, 540, 1234, 7094, 539, 10049, 563, 3725, 7094, 539, 4070, 543, 23542, 819, 6405, 3653, 607, 14919, 454, 1704, 2904, 476, 1001, 280, 3267, 3267, 23542, 819, 3653, 630, 7374, 310, 264, 9424, 4929, 606, 8801, 1198, 593, 519, 1604, 269, 634, 946, 540, 971, 3653, 607, 13381, 14919, 538, 6405, 2483, 14457, 264, 634, 13139, 1436, 540, 1234, 7094, 539, 10049, 585, 22493, 543, 454, 22261, 476, 2764, 267, 476, 1001, 279, 2443, 1234, 7094, 539, 2326, 971, 607, 13381, 6405, 14919, 610, 13381, 15839, 14919, 689, 4070, 543, 23542, 819, 3653, 267, 3653, 4837, 689, 4429, 516, 7094, 539, 6405, 13445, 454, 3725, 7094, 539, 22493, 269, 9502, 281, 2182, 2989, 6405, 602, 814, 1044, 9268, 585, 19074, 267, 2356, 607, 14919, 11607, 589, 5746, 22493, 12910, 11659, 269, 634, 2601, 585, 9657, 568, 519, 5786, 540, 3653, 538, 1931, 547, 2149, 2470, 1996, 5533, 267, 519, 2810, 17732, 540, 5078, 546, 18804, 12406, 267, 543, 547, 4688, 1648, 543, 2067, 2200, 563, 763, 476, 30329, 593, 1234, 7094, 539, 22493, 281, 21964, 267, 11588, 267, 543, 1215, 1677, 1923, 744, 4506, 320, 454, 3519, 4740, 3653, 3217, 909, 513, 1713, 6712, 540, 26071, 267, 543, 1082, 3112, 13918, 922, 2450, 543, 4320, 269, 27822, 8952, 891, 2326, 856, 540, 519, 25087, 4429, 303, 18166, 5682, 22493, 676, 4635, 1234, 7094, 539, 10049, 538, 32329, 454, 15037, 476, 1321, 267, 476, 1708, 271, 2443, 769, 713, 1353, 267, 10682, 540, 9160, 543, 519, 2067, 27960, 1031, 538, 6405, 676, 1234, 7094, 539, 3213, 12838, 20548, 26021, 630, 305, 7563, 264, 543, 595, 10984, 545, 17904, 4429, 14457, 264, 2422, 540, 3653, 2326, 538, 6405, 281, 589, 2689, 454, 7712, 6405, 568, 835, 540, 519, 1655, 2081, 547, 1491, 538, 3653, 2326, 267, 952, 602, 814, 1100, 1713, 2942, 2360, 593, 6405, 3601, 267, 621, 568, 606, 3608, 2268, 547, 3914, 513, 4264, 1646, 4429, 3725, 7094, 539, 17904, 10049, 538, 22493, 14716, 281, 24021, 454, 3725, 7094, 539, 17904, 10049, 538, 22493, 14716, 281, 24021, 3194, 543, 19662, 281, 476, 7818, 13923, 28670, 23283, 278, 281, 3163, 1299, 7177, 7734, 563, 3918, 290, 312, 12710, 5058, 5508, 654, 3008, 15288, 12164, 290, 3918, 15288, 910, 634, 20472, 528, 454, 3725, 19464, 540, 3653, 6405, 568, 2944, 547, 19074, 519, 6405, 6299, 1076, 607, 27960, 538, 3267, 4635, 13381, 1570, 607, 18574, 6971, 519, 991, 585, 18574, 5599, 563, 300, 3951, 1053, 6830, 1518, 6405, 676, 4946, 13381, 5068, 1923, 20037, 5240, 454, 1839, 4239, 476, 1001, 278, 3267, 20037, 1053, 723, 2919, 513, 1106, 540, 6405, 1210, 13381, 5068, 1216, 14569, 269, 634, 1007, 1570, 568, 476, 736, 2600, 6793, 982, 2757, 6405, 543, 3267, 901, 814, 519, 1761, 547, 7485, 5068, 25087, 3653, 856, 540, 519, 25087, 4429, 1492, 2422, 540, 1234, 7094, 539, 10049, 538, 29844, 543, 23113, 910, 681, 11223, 300, 454, 17746, 2315, 543, 5915, 565, 819, 17904, 281, 1234, 7094, 539, 20548, 2958, 919, 2608, 4937, 13979, 3267, 27822, 17904, 538, 24533, 9122, 10049, 281, 513, 24356, 6396, 8191, 4433, 2567, 7261, 337, 4429, 1952, 997, 566, 540, 3653, 13381, 1570, 538, 6405, 454, 516, 13094, 28372, 543, 13381, 6405, 14919, 269, 634, 27391, 531, 3653, 5823, 3568, 6225, 2326, 585, 519, 4070, 2872, 1519, 32072, 4429, 8196, 540, 1234, 7094, 539, 543, 17904, 10049, 538, 24533, 22493, 454, 8196, 540, 1234, 7094, 539, 543, 17904, 10049, 538, 24533, 22493, 609, 3487, 658, 1234, 10293, 540, 20548, 26021, 543, 24533, 910, 2854, 676, 623, 1177, 534, 19300, 340, 2073, 31670, 592, 918, 8457, 329, 807, 2073, 1325, 758, 681, 541, 582, 31843, 3370, 593, 476, 1001, 280, 270, 6021, 270, 6349, 4647, 2407, 2376, 609, 4704, 1239, 543, 14327, 454, 763, 13345, 540, 10357, 7888, 13381, 8869, 689, 454, 3725, 7094, 539, 8869, 630, 14641, 264, 568, 519, 1292, 676, 1790, 6055, 538, 519, 556, 17474, 540, 4070, 543, 23542, 819, 630, 290, 22936, 264, 3653, 269, 589, 1560, 540, 3332, 593, 519, 946, 540, 681, 303, 607, 24045, 9160, 25875, 2326, 630, 306, 13967, 338, 264, 538, 6405, 568, 4867, 2139, 267, 6466, 513, 2143, 2689, 593, 519, 3601, 540, 681, 303, 6405, 814, 1044, 15877, 2394, 1631, 563, 17843, 18467, 547, 2422, 1234, 7094, 539, 22493, 1923, 5851, 20929, 1923, 24700, 19835, 454, 17843, 18467, 547, 2422, 1234, 7094, 539, 22493, 269, 14716, 543, 23542, 819, 3785, 666, 1711, 1804, 9424, 540, 3653, 2679, 2326, 267, 799, 1419, 1439, 909, 538, 519, 25087, 269, 13518, 540, 713, 1570, 666, 3267, 0, 1432, 568, 519, 1651, 28271, 540, 4906, 888, 18823, 28271, 2073, 3844, 4168, 14985, 602, 2696, 2968, 17145, 267, 602, 2696, 10924, 513, 1480, 2470, 543, 2968, 513, 812, 538, 519, 1106, 540, 4906, 2441, 2073, 519, 12312, 540, 2696, 543, 519, 2034, 1268, 540, 519, 27076, 269, 2441, 729, 5963, 2696, 543, 5963, 812, 563, 1432, 1281, 5549, 28271, 1611, 538, 4984, 888, 763, 1651, 28271, 568, 519, 4168, 3661, 602, 2696, 3576, 1480, 1106, 676, 4742, 4906, 269, 5549, 28271, 12777, 1797, 2048, 1729, 1491, 593, 17145, 17483, 1432, 568, 519, 7826, 5939, 2070, 593, 556, 4532, 28271, 888, 763, 7826, 5783, 1281, 711, 3494, 538, 556, 4532, 28271, 2073, 799, 621, 14621, 607, 1373, 22424, 26702, 609, 2669, 269, 16480, 267, 519, 3401, 540, 1978, 3392, 338, 538, 519, 5939, 723, 6026, 602, 789, 616, 556, 4532, 7568, 725, 540, 6307, 1107, 585, 1383, 267, 21322, 6261, 879, 548, 717, 580, 340, 27056, 540, 519, 8136, 540, 6307, 543, 12756, 14731, 345, 6390, 540, 519, 5449, 12756, 341, 2572, 563, 1432, 616, 519, 476, 275, 4128, 585, 1651, 28271, 888, 24404, 916, 538, 713, 1305, 630, 476, 275, 3738, 2601, 476, 272, 269, 547, 4688, 721, 676, 11028, 4290, 532, 721, 609, 2696, 269, 2601, 476, 273, 269, 547, 7866, 2696, 779, 2648, 547, 721, 269, 2601, 476, 274, 269, 547, 1397, 721, 513, 3501, 2203, 540, 2868, 1465, 269, 2601, 476, 275, 1547, 547, 1118, 721, 968, 4820, 5474, 540, 519, 10143, 2470, 892, 263, 273, 8834, 476, 272, 281, 476, 275, 3738, 268, 514, 824, 1913, 547, 968, 15965, 514, 1125, 892, 721, 563, 1432, 1281, 519, 6426, 3081, 827, 1651, 28271, 888, 11243, 569, 602, 2441, 729, 12777, 1312, 2048, 306, 517, 540, 2494, 685, 689, 1010, 14774, 2427, 267, 543, 849, 12777, 2048, 306, 517, 540, 2696, 2048, 593, 1010, 533, 11189, 2427, 269, 634, 1523, 540, 519, 1651, 28271, 2443, 892, 1492, 6478, 2968, 17145, 543, 546, 342, 3881, 1851, 721, 892, 1765, 729, 6956, 607, 519, 21055, 2262, 610, 27291, 540, 623, 338, 269, 476, 3451, 281, 277, 2348, 1044, 1500, 1480, 676, 513, 20424, 4332, 563, 1432, 1554, 568, 4906, 14512, 888, 3674, 4906, 5963, 519, 12312, 540, 2696, 888, 13731, 4906, 2073, 519, 12312, 540, 2696, 2073, 568, 2696, 543, 2494, 281, 2696, 1354, 782, 10600, 267, 812, 538, 938, 1158, 269, 1809, 2094, 646, 568, 519, 1152, 12312, 540, 2696, 2073, 676, 2470, 543, 711, 676, 11419, 267, 646, 2968, 849, 519, 12312, 540, 2494, 602, 646, 1522, 581, 2407, 540, 11419, 607, 1134, 563, 3963, 1705, 4906, 723, 547, 5884, 547, 4688, 721, 888, 2690, 873, 519, 2669, 540, 4906, 729, 851, 540, 513, 10143, 1544, 547, 4688, 8103, 269, 634, 2669, 543, 24446, 540, 713, 835, 812, 568, 693, 519, 1360, 2295, 540, 519, 4168, 5132, 269, 1280, 10271, 621, 568, 998, 4906, 779, 2669, 602, 1004, 779, 7745, 2078, 609, 2696, 568, 17468, 269, 901, 568, 1634, 607, 519, 2311, 821, 618, 563, 3963, 568, 1651, 28271, 1271, 538, 8567, 888, 288, 3661, 538, 519, 1684, 551, 9068, 540, 519, 5549, 28271, 568, 1271, 547, 10271, 1317, 621, 1797, 602, 2696, 267, 607, 4906, 267, 666, 1174, 1018, 621, 1797, 547, 581, 1480, 269, 898, 849, 6087, 10271, 547, 723, 267, 998, 4906, 267, 513, 2123, 2078, 609, 2696, 563, 2710, 23597, 3494, 538, 1212, 332, 566, 888, 305, 727, 630, 290, 13585, 264, 634, 28912, 9307, 13638, 602, 23597, 949, 581, 1212, 332, 730, 855, 1058, 711, 723, 741, 607, 1127, 16559, 693, 4262, 610, 6854, 538, 2712, 985, 693, 1753, 269, 4340, 547, 1007, 4808, 689, 519, 28912, 779, 11705, 337, 1400, 5604, 267, 1212, 332, 730, 3788, 1058, 581, 6854, 538, 513, 968, 338, 659, 1042, 1747, 892, 971, 607, 513, 5939, 28200, 563, 1432, 1281, 519, 7826, 5783, 4001, 827, 1272, 1310, 2669, 888, 22146, 4978, 827, 1272, 1310, 2669, 616, 1759, 593, 519, 24446, 540, 4906, 2441, 269, 10271, 3494, 602, 4906, 685, 2669, 543, 24446, 616, 851, 540, 2696, 779, 10143, 1544, 585, 30768, 269, 3414, 1010, 2669, 593, 519, 3444, 267, 4906, 17188, 519, 15163, 585, 30768, 779, 5609, 543, 30768, 779, 2078, 609, 2696, 568, 17468, 563, 2710, 23597, 3494, 538, 4720, 888, 9213, 267, 519, 5783, 7028, 519, 2065, 4720, 630, 1143, 1070, 849, 1634, 607, 12105, 5137, 267, 4352, 23597, 616, 1863, 711, 547, 3494, 538, 1022, 851, 540, 12105, 3069, 269, 1358, 4001, 519, 1249, 602, 4720, 4386, 543, 519, 2413, 12105, 10282, 267, 799, 568, 519, 3621, 3069, 602, 6941, 875, 4720, 23131, 563, 1432, 1281, 5549, 28271, 1611, 888, 29825, 269, 606, 1651, 7568, 622, 1373, 610, 1106, 269, 513, 2713, 1373, 18220, 532, 513, 25976, 610, 6891, 269, 13429, 540, 1480, 1106, 610, 2470, 269, 519, 14985, 602, 519, 2034, 1268, 540, 519, 27076, 10924, 1480, 1106, 538, 519, 1268, 540, 4906, 2441, 543, 568, 4625, 1312, 2696, 543, 812, 563, 1432, 616, 1079, 3344, 540, 519, 32488, 577, 531, 9814, 888, 763, 17131, 577, 531, 9814, 568, 835, 540, 519, 3844, 2035, 540, 7826, 5132, 11341, 547, 519, 1686, 540, 20778, 269, 4706, 1292, 1641, 568, 519, 6612, 267, 2669, 267, 543, 1763, 18675, 540, 4906, 2441, 1107, 519, 960, 602, 2696, 519, 12429, 2366, 3571, 12312, 547, 9585, 593, 3618, 269, 0, 26926, 483, 26926, 483, 26926, 483, 589, 10370, 327, 332, 874, 1738, 2398, 1146, 2334, 29452, 3763, 634, 21210, 3590, 1772, 634, 11020, 569, 11109, 13038, 570, 16201, 657, 16237, 6533, 2659, 21210, 3590, 15850, 21210, 3590, 6496, 17491, 6435, 2659, 21210, 3590, 2052, 594, 6875 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 294, 264, 19047, 454, 453, 266, 14992, 5665, 1369, 519, 2973, 1648, 2230, 3068, 2810, 2604, 547, 6542, 741, 7029, 547, 6940, 543, 3743, 9746, 2623, 269, 769, 713, 9074, 267, 649, 786, 26819, 519, 3334, 540, 11483, 305, 543, 11536, 294, 2994, 267, 20515, 1655, 2853, 543, 1761, 25354, 2059, 519, 1259, 269, 8865, 2090, 10023, 7986, 10909, 786, 948, 30881, 891, 2035, 2417, 563, 265, 21602, 476, 277, 281, 24021, 6355, 17738, 543, 28521, 20837, 338, 454, 453, 266, 21826, 569, 19394, 2029, 3790, 543, 15028, 4507, 723, 8118, 909, 3209, 18817, 585, 10451, 8907, 538, 519, 2973, 1648, 2872, 269, 901, 9074, 786, 5619, 5499, 1870, 3631, 971, 607, 2146, 3859, 267, 5691, 1379, 2371, 267, 9263, 3562, 24406, 518, 1648, 9467, 5867, 267, 3838, 10688, 2533, 267, 543, 9764, 4346, 4485, 269, 4841, 786, 2744, 3946, 6823, 1995, 10442, 519, 23250, 540, 7598, 891, 3631, 538, 1585, 8658, 563, 265, 21602, 476, 278, 281, 5685, 3496, 11162, 6052, 18768, 454, 453, 266, 7457, 532, 3854, 3788, 513, 1713, 4161, 585, 1082, 2973, 1648, 11639, 543, 3549, 5275, 547, 4336, 4238, 269, 901, 9074, 786, 4685, 2620, 883, 14104, 6127, 971, 607, 14679, 3854, 267, 7715, 4206, 27448, 267, 1857, 6990, 267, 3039, 7554, 267, 543, 6556, 6523, 269, 19893, 786, 1020, 513, 3102, 1620, 540, 519, 4220, 267, 2640, 267, 543, 4123, 26160, 2404, 609, 1142, 4781, 563, 265, 21602, 476, 279, 281, 7913, 1436, 543, 4578, 24630, 538, 11162, 6052, 15051, 454, 453, 266, 634, 3059, 4838, 814, 9927, 6080, 5001, 267, 543, 2973, 1648, 568, 1100, 9868, 269, 901, 9074, 786, 8495, 6932, 3466, 1644, 547, 5841, 4987, 267, 3684, 1565, 267, 9893, 267, 4950, 540, 1919, 630, 31166, 1070, 543, 2462, 1239, 12642, 269, 7464, 8996, 3156, 2066, 519, 3003, 1871, 5832, 1107, 689, 4058, 543, 1374, 547, 5106, 543, 5826, 1107, 786, 4196, 547, 20838, 519, 13710, 1764, 540, 7857, 1436, 593, 2973, 1648, 16904, 563, 265, 21602, 476, 280, 281, 16890, 4721, 543, 21664, 585, 2480, 2718, 8177, 454, 453, 266, 3143, 2582, 11769, 6585, 782, 519, 4267, 950, 21947, 609, 1950, 2591, 971, 607, 1232, 12365, 1944, 519, 2518, 4346, 269, 4475, 267, 7580, 12352, 1063, 6608, 267, 1875, 2889, 22327, 267, 4081, 5238, 267, 543, 4357, 13055, 616, 4105, 585, 8236, 6209, 3356, 4724, 1455, 3853, 269, 769, 713, 9074, 267, 5171, 786, 1353, 3811, 21769, 1063, 19635, 3906, 543, 2697, 4245, 4121, 585, 2104, 18129, 563, 265, 21602, 476, 1015, 281, 8892, 12367, 543, 19396, 11202, 1811, 538, 11162, 6052, 454, 453, 266, 1306, 519, 2973, 1648, 5823, 5170, 547, 9921, 267, 1007, 3255, 8451, 7258, 29886, 2591, 269, 901, 3803, 9074, 786, 22401, 883, 519, 12627, 3440, 267, 5356, 4030, 883, 6932, 3466, 5935, 519, 2872, 543, 1179, 6819, 593, 2009, 23484, 610, 26688, 4229, 30443, 6362, 1472, 519, 7944, 269, 1230, 9690, 569, 267, 649, 786, 2992, 593, 4876, 11444, 1930, 547, 20021, 540, 713, 1576, 543, 7291, 3268, 585, 22745, 513, 16180, 543, 14785, 3318, 18330, 780, 10112, 20156, 10613, 454, 2411, 13430, 9961, 519, 1576, 267, 1053, 786, 7119, 538, 1896, 2010, 540, 10526, 2966, 547, 1449, 8223, 267, 3498, 267, 10282, 267, 543, 6268, 540, 1576, 2326, 269, 13018, 267, 21249, 786, 2874, 540, 519, 1739, 3334, 1384, 265, 2878, 27396, 566, 4995, 15765, 6278, 538, 1362, 5717, 543, 1895, 960, 568, 1898, 585, 21924, 1565, 4093, 269, 8617, 20343, 543, 12905, 12032, 540, 10467, 3565, 9797, 2509, 7589, 9344, 563, 265, 2878, 5226, 714, 8240, 4995, 10374, 17118, 13950, 1282, 15872, 786, 2327, 602, 1053, 9787, 4909, 2035, 5189, 2429, 519, 1576, 269, 13658, 2055, 949, 2721, 689, 13220, 267, 7044, 267, 610, 2661, 23405, 563, 265, 2878, 19111, 5525, 4995, 16792, 7811, 1702, 547, 1483, 8996, 7653, 10597, 12802, 543, 8992, 2565, 3206, 269, 3962, 9074, 3568, 835, 610, 811, 2013, 2090, 8506, 1053, 547, 13209, 2042, 267, 15974, 3435, 267, 543, 9718, 7840, 1759, 593, 4396, 2963, 563, 265, 2878, 19061, 4518, 4995, 11554, 14350, 610, 538, 2516, 267, 1053, 786, 2347, 1079, 2101, 3785, 2966, 547, 13686, 17117, 540, 4143, 1983, 1115, 9715, 1282, 519, 1576, 269, 26346, 5528, 267, 19325, 267, 543, 6299, 7879, 3177, 538, 1813, 942, 5512, 1053, 547, 1544, 6619, 543, 21138, 6190, 4674, 9935, 563, 453, 266, 2608, 19061, 476, 272, 15846, 27588, 513, 19858, 2973, 1648, 1788, 6220, 2930, 267, 2883, 267, 543, 9431, 9270, 3248, 453, 266, 2608, 19061, 476, 273, 15846, 15043, 513, 979, 3562, 27360, 564, 4640, 585, 513, 3209, 2973, 1648, 1587, 610, 3028, 563, 265, 2878, 29806, 22410, 4995, 2311, 519, 3932, 540, 519, 2165, 267, 1053, 786, 1694, 585, 513, 3102, 981, 4152, 11291, 267, 1620, 267, 543, 3498, 540, 1883, 2035, 11402, 2429, 519, 1576, 780, 294, 15665, 16505, 6658, 454, 2411, 692, 2414, 3313, 3803, 4484, 9344, 267, 16929, 786, 2308, 519, 1739, 6871, 2597, 532, 1062, 1384, 347, 3281, 9426, 4449, 567, 1923, 13379, 1363, 11406, 347, 10900, 955, 268, 347, 1366, 9339, 268, 2008, 347, 30880, 23526, 1923, 476, 1015, 260, 2018, 11406, 347, 13658, 8240, 4449, 672, 1923, 476, 1428, 260, 2018, 11406, 347, 8865, 5525, 3546, 1923, 476, 1789, 260, 2018, 11406, 347, 5741, 4518, 4449, 1923, 476, 1789, 260, 2018, 11406, 347, 15937, 11929, 4449, 476, 1923, 476, 1428, 260, 2018, 1923, 692, 2750, 1051, 725, 543, 8249, 454, 10900, 13430, 10743, 19801, 538, 713, 1576, 616, 4397, 547, 4142, 6510, 5111, 1614, 3108, 829, 3018, 3544, 540, 16516, 1362, 2053, 547, 2689, 8655, 2542, 2326, 267, 4585, 14292, 7044, 267, 12840, 609, 2319, 10863, 267, 543, 2347, 6780, 4247, 269, 2755, 1582, 30928, 1565, 3029, 519, 22449, 540, 2937, 2069, 267, 1964, 21407, 602, 15792, 5583, 267, 5955, 267, 543, 19015, 24098, 1346, 8348, 547, 1902, 942, 543, 4674, 883, 28798, 741, 4739, 780, 16966, 1043, 3842, 2052, 11663, 267, 519, 2228, 1565, 3760, 8246, 676, 938, 9872, 267, 1053, 786, 1265, 6402, 547, 2838, 5931, 267, 24045, 4930, 267, 19180, 2200, 267, 4901, 12545, 267, 3446, 2835, 267, 30300, 1513, 267, 11382, 29422, 267, 543, 824, 22317, 1344, 269, 9701, 1022, 2152, 8451, 3823, 10333, 267, 10342, 267, 610, 32636, 267, 798, 711, 19292, 547, 3914, 856, 547, 519, 8668, 6435, 30325, 610, 3343, 6351, 689, 707, 14357, 4433, 6393, 6962, 454, 29603, 3528, 11264, 713, 11826, 2943, 2502, 6437, 10704, 1472, 4294, 1806, 543, 15826, 9382, 267, 1053, 4927, 10836, 1732, 5423, 547, 10994, 10296, 2825, 4145, 6849, 8103, 2221, 269, 2060, 8990, 267, 5698, 267, 5876, 267, 543, 6612, 267, 649, 1413, 4464, 547, 25054, 593, 713, 7214, 7045, 1927, 269, 2913, 721, 2253, 256, 0, 2237, 513, 1279, 543, 1360, 2143, 1576, 1770, 585, 513, 1837, 593, 834, 27662, 6052, 19662, 281, 6355, 17738, 543, 11627, 725, 257, 5497, 585, 2852, 1053, 563, 2171, 616, 4867, 1603, 519, 1101, 3184, 281, 834, 272, 269, 4985, 8487, 2171, 723, 2907, 4988, 519, 1739, 1016, 26972, 538, 519, 1699, 3184, 281, 834, 272, 269, 272, 269, 9502, 540, 8693, 15306, 2580, 834, 272, 269, 273, 269, 11957, 540, 11162, 6052, 19662, 8487, 2237, 519, 1007, 1016, 15492, 11331, 834, 272, 269, 274, 269, 11137, 540, 519, 1576, 257, 1247, 3843, 547, 581, 912, 268, 21004, 910, 596, 1711, 4101, 9499, 602, 3382, 519, 1570, 538, 3178, 563, 268, 12056, 910, 707, 9499, 723, 513, 2239, 9095, 543, 2502, 3159, 267, 899, 519, 1603, 540, 7812, 11066, 563, 268, 11930, 910, 596, 946, 1808, 543, 4052, 1806, 269, 1280, 1383, 267, 952, 519, 1888, 568, 5610, 538, 11810, 267, 1331, 4834, 543, 15997, 540, 519, 1523, 596, 2811, 3450, 269, 1306, 1776, 1383, 267, 952, 519, 1888, 568, 519, 1686, 540, 519, 2136, 2276, 267, 1331, 7389, 267, 4408, 267, 543, 1883, 2621, 563, 8855, 547, 1118, 1543, 6098, 693, 2852, 1053, 267, 945, 949, 723, 930, 13654, 1702, 855, 616, 711, 4966, 538, 519, 2361, 269, 634, 1570, 1058, 581, 2143, 543, 2219, 4538, 269 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 25720, 25720, 25720, 25720, 25720, 25720, 25720, 25720, 25720, 25720, 25720, 25720, 25720, 25720, 25720, 25720, 25720, 25720, 25720, 25720, 25720, 25720, 25720, 25720, 25720, 25720, 25720, 25720, 25720, 25720, 25720, 25720, 25720, 25720, 25720, 25720, 25720, 25720, 25720, 25720, 25720, 25720, 25720, 25720, 25720, 25720, 25720, 25720, 25720, 25720, 25720, 25720, 25720, 25720, 25720, 25720, 25720, 25720, 25720, 25720, 25720, 25720, 25720, 25720, 25720, 25720, 25720, 25720, 25720, 25720, 25720, 25720, 25720, 25720, 25720, 25720, 25720, 25720, 25720, 25720, 25720, 25720, 25720, 25720, 25720, 25720, 25720, 25720, 25720, 25720, 25720, 25720, 25720, 25720, 25720, 25720, 25720, 25720, 25720, 25720, 25720, 25720, 25720, 25720, 25720, 25720, 25720, 25720, 25720, 25720, 25720, 25720, 25720, 25720, 25720, 25720, 25720, 25720, 25720, 25720, 25720, 25720, 25720, 25720, 25720, 25720, 25720, 25720, 25720, 25720, 25720, 25720, 25720, 25720, 25720, 25720, 25720, 25720, 25720, 25720, 25720, 25720, 25720, 25720, 25720, 25720, 25720, 25720, 25720, 25720, 25720, 25720, 25720, 25720, 25720, 25720, 25720, 25720, 25720, 25720, 25720, 25720, 25720, 25720, 25720, 25720, 25720, 25720, 25720, 25720, 25720, 25720, 25720, 25720, 25720, 25720, 25720, 25720, 25720, 25720, 25720, 25720, 25720, 25720, 25720, 25720, 25720, 25720, 25720, 25720, 25720, 25720, 25720, 25720, 25720, 25720, 25720, 25720, 25720, 25720, 25720, 25720, 25720, 25720, 25720, 25720, 25720, 25720, 25720, 25720, 25720, 25720, 25720, 25720, 25720, 25720, 25720, 25720, 25720, 25720, 25720, 25720, 25720, 25720, 25720, 25720, 25720, 25720, 25720, 25720, 25720, 25720, 25720, 25720, 25720, 25720, 25720, 25720, 25720, 25720, 25720, 25720, 25720, 25720, 25720, 25720, 25720, 25720, 25720, 25720, 25720, 25720, 25720, 25720, 25720, 25720, 25720, 25720, 25720, 25720, 25720, 25720, 25720, 25720, 25720, 25720, 25720, 288, 0, 2080, 568, 606, 1349, 689, 513, 2546, 912, 24679, 6501, 1920, 5389, 3180, 513, 2027, 1747, 538, 519, 12271, 540, 1082, 267, 607, 789, 979, 3564, 6071, 9821, 543, 12738, 269, 1452, 5389, 1404, 513, 2629, 1909, 538, 8497, 2686, 6561, 543, 14304, 1920, 7554, 269, 2290, 971, 2245, 602, 6585, 1390, 4644, 568, 10732, 12129, 267, 799, 568, 811, 982, 1175, 513, 7594, 269, 898, 5713, 607, 513, 942, 585, 5481, 547, 2097, 1927, 267, 2671, 2757, 7969, 10346, 267, 543, 1780, 1524, 2984, 543, 7326, 563, 763, 2956, 540, 10732, 12129, 6013, 538, 519, 11018, 540, 5481, 267, 1141, 22594, 267, 3237, 267, 543, 1453, 2097, 1927, 547, 2671, 513, 7594, 543, 1921, 593, 513, 4514, 1377, 269, 898, 2636, 1920, 2818, 547, 6125, 267, 6952, 909, 593, 1142, 824, 779, 2729, 267, 543, 1711, 9434, 8823, 269, 13966, 2515, 519, 8949, 1426, 267, 10732, 12129, 568, 606, 4316, 585, 4687, 2984, 543, 8429, 1524, 5389, 602, 723, 1044, 19644, 585, 5481, 563, 4913, 267, 7969, 1920, 5389, 8831, 3564, 10732, 12129, 269, 14080, 633, 16873, 267, 5993, 1920, 7477, 725, 267, 4332, 17058, 267, 3045, 1392, 2456, 267, 543, 556, 3010, 2237, 606, 2502, 543, 3015, 1576, 1770, 538, 513, 1837, 585, 1647, 1153, 1053, 1644, 547, 519, 1349, 1657, 267, 2519, 593, 834, 24292, 11595, 257, 607, 851, 540, 834, 16300, 16337, 1315, 7731, 1315, 5564, 3394, 518, 1049, 2668, 634, 1543, 1058, 581, 3358, 585, 1647, 1153, 1053, 1510, 1991, 1702, 540, 519, 1888, 780, 2521, 547, 1384, 268, 3629, 2143, 3137, 267, 2057, 2930, 3822, 267, 543, 1459, 519, 2093, 538, 513, 3551, 267, 2239, 3159, 563, 268, 3417, 1806, 547, 1118, 519, 1641, 3839, 543, 3078, 585, 1762, 1647, 1153, 1053, 563, 268, 3680, 4304, 519, 1357, 1349, 538, 519, 1837, 269, 1684, 711, 1331, 513, 2140, 610, 2606, 2453, 269, 3399, 1603, 519, 1543, 2047, 269 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 789, 1810, 1405, 4866, 269, 1677, 2149, 6000, 1996, 5739, 4551, 267, 7189, 1419, 21559, 11216, 267, 799, 616, 6527, 2966, 4481, 547, 6146, 610, 21391, 9190, 2208, 269, 1717, 267, 936, 942, 267, 930, 4551, 1831, 11259, 547, 11216, 267, 2495, 789, 1265, 2081, 547, 7639, 5103, 519, 4915, 269, 901, 7613, 814, 3366, 547, 4165, 574, 17853, 18650, 630, 4456, 305, 1070, 835, 540, 2221, 781, 1034, 10296, 1072, 4145, 780, 2414, 10994, 7537, 305, 267, 30511, 1071, 1922, 15903, 1849, 1478, 12713, 534, 3315, 3749, 12229, 538, 8050, 269, 1261, 543, 1010, 2319, 2919, 3642, 14617, 2645, 602, 5659, 1239, 689, 513, 3684, 1572, 631, 3201, 14888, 7136, 15190, 668, 2678, 269, 901, 3926, 2337, 2697, 1114, 2010, 540, 6675, 1369, 9190, 2281, 269, 1635, 9236, 891, 7636, 9416, 21646, 1063, 1585, 4551, 2249, 267, 1849, 1478, 781, 3301, 30193, 11259, 3283, 689, 1875, 15033, 3283, 3533, 543, 8308, 780, 4002, 519, 824, 2427, 540, 519, 9533, 267, 22189, 1568, 693, 769, 10075, 520, 1460, 538, 519, 2136, 2276, 269, 4635, 2147, 2553, 267, 646, 6212, 593, 2870, 4028, 10368, 4255, 547, 3313, 952, 2576, 781, 3968, 568, 10194, 610, 9190, 269, 18833, 713, 3017, 2038, 593, 5849, 2550, 4309, 3617, 2126, 267, 4227, 11991, 15084, 6165, 543, 23646, 1524, 519, 1646, 540, 7537, 305, 780, 3383, 1946, 1281, 1022, 540, 713, 2339, 547, 721, 286, 4197, 875, 3642, 20674, 3173, 538, 4974, 17973, 2488, 5813, 883, 2104, 2564, 7760, 269, 5994, 9683, 707, 4387, 609, 2770, 6438, 2589, 269, 5502, 540, 7058, 1740, 543, 2789, 11564, 267, 513, 2656, 1449, 8761, 2436, 621, 781, 1813, 547, 513, 3644, 610, 4551, 269, 1403, 9190, 267, 519, 2164, 1522, 849, 1397, 799, 15084, 1131, 960, 1655, 267, 10893, 922, 21568, 269, 1452, 7399, 6542, 875, 2629, 1382, 899, 30511, 262, 543, 22189, 781, 568, 538, 5935, 14182, 781, 3782, 5251, 780, 2026, 596, 979, 827, 707, 1554, 267, 3314, 519, 31305, 12325, 543, 5636, 1622, 4478, 721, 1107, 519, 22800, 17973, 269, 3414, 5499, 4485, 899, 3642, 267, 945, 6487, 1018, 11580, 649, 949, 12260, 827, 891, 14263, 9908, 7919, 543, 875, 789, 1764, 938, 2729, 256, 0, 2080, 568, 606, 1349, 689, 513, 2546, 912, 257, 25603, 938, 19264, 817, 611, 832, 476, 272, 268, 5611, 454, 299, 7572, 2494, 1356, 320, 623, 2444, 783, 568, 1071, 1922, 10133, 543, 16628, 540, 1849, 1478, 12713, 534, 3315, 3749, 12229, 538, 8050, 269, 1849, 1478, 10953, 14464, 11106, 2861, 6620, 585, 519, 3728, 267, 29765, 8446, 540, 21734, 4187, 6127, 269, 4256, 1935, 568, 1759, 593, 29227, 631, 3201, 14888, 7136, 15190, 668, 4479, 1239, 547, 9553, 519, 6456, 1344, 602, 24508, 759, 26938, 689, 6213, 12490, 269, 1849, 1478, 3523, 919, 609, 1896, 1271, 3864, 10506, 543, 723, 4607, 6284, 689, 9167, 670, 1708, 271, 14828, 543, 519, 22749, 540, 8050, 543, 1656, 531, 1075, 807, 269, 30511, 685, 9021, 538, 519, 2754, 1331, 10324, 4247, 547, 2936, 1279, 3856, 4640, 543, 1818, 2386, 602, 3025, 568, 6126, 543, 4847, 547, 798, 741, 960, 543, 2769, 741, 5876, 547, 519, 5207, 4110, 269, 30511, 568, 4628, 3222, 540, 519, 2956, 540, 519, 4161, 649, 616, 782, 6849, 609, 7537, 305, 543, 4628, 8149, 547, 2285, 938, 7887, 4674, 547, 948, 8165, 621, 563, 297, 517, 11936, 4936, 3298, 5652, 568, 3213, 6363, 10133, 543, 2910, 302, 540, 769, 10075, 520, 1460, 538, 519, 7330, 269, 3571, 2754, 594, 3010, 2237, 606, 2502, 543, 3015, 1576, 1770, 538, 513, 1837, 585, 1647, 1153, 1053, 1644, 547, 519, 1349, 1657, 267, 2519, 593, 834, 300, 15412, 5735, 257, 607, 851, 540, 834, 16300, 13493, 1315, 3163, 1299, 7186, 1315, 10334, 2668, 634, 1543, 1058, 581, 3358, 585, 1647, 1153, 1053, 1510, 1991, 1702, 540, 519, 1888, 780, 2521, 547, 1384, 268, 3629, 2143, 3137, 267, 2057, 2930, 3822, 267, 543, 1459, 519, 2093, 538, 513, 3551, 267, 2239, 3159, 563, 268, 3417, 1806, 547, 1118, 519, 1641, 3839, 543, 3078, 585, 1762, 1647, 1153, 1053, 563, 268, 3680, 4304, 519, 1357, 1349, 538, 519, 1837, 269, 1684, 711, 1331, 513, 2140, 610, 2606, 2453, 269, 3399, 1603, 519, 1543, 2047, 269, 0, 769, 519, 5318, 5251, 540, 1480, 2833, 267, 1906, 3344, 616, 607, 1950, 543, 15491, 607, 1920, 6384, 543, 14375, 3347, 269, 1452, 6946, 3103, 540, 4276, 1404, 513, 1713, 1909, 538, 5935, 938, 9163, 267, 1582, 12656, 8526, 267, 3929, 8171, 267, 543, 2949, 1646, 269, 1280, 1453, 609, 2027, 2115, 267, 891, 3347, 1419, 3180, 1256, 3152, 4644, 1813, 547, 519, 2189, 2591, 789, 3068, 269, 1306, 971, 267, 621, 3587, 2629, 547, 4983, 543, 1174, 519, 1585, 7516, 540, 1920, 543, 3347, 267, 3226, 538, 6935, 547, 12003, 609, 3929, 2591, 543, 16236, 780, 272, 269, 634, 25043, 540, 7731, 18868, 543, 3955, 26051, 17716, 692, 4263, 922, 4295, 267, 513, 1920, 4564, 513, 4909, 1514, 9872, 16922, 540, 2043, 945, 2671, 4719, 13218, 267, 9772, 633, 7554, 267, 610, 6074, 19647, 269, 10738, 713, 15982, 1895, 267, 2818, 6330, 3232, 1272, 1927, 267, 8108, 3270, 540, 5872, 602, 2901, 7794, 610, 2144, 1712, 22686, 7554, 269, 14265, 1017, 3334, 540, 2318, 1920, 6384, 1331, 1930, 2792, 267, 8994, 2463, 267, 6568, 267, 3838, 2418, 267, 543, 2648, 269, 1879, 8647, 5688, 958, 267, 3885, 4196, 607, 2922, 688, 26223, 1141, 2818, 1745, 12595, 267, 6462, 267, 543, 7608, 5103, 1022, 7915, 3604, 610, 1367, 9620, 780, 11328, 26051, 3347, 8831, 3564, 519, 32604, 540, 7525, 1920, 4559, 267, 21214, 17052, 267, 11509, 12352, 267, 3318, 24816, 267, 543, 2146, 4296, 269, 5381, 547, 1920, 6384, 267, 3811, 14375, 3347, 554, 16636, 2390, 3972, 267, 19969, 267, 2500, 2792, 267, 543, 25262, 640, 269, 5047, 267, 14237, 513, 3309, 3060, 540, 11215, 3347, 8309, 3648, 547, 2790, 1072, 6043, 267, 5807, 13916, 267, 543, 29103, 1359, 12003, 6127, 1282, 4101, 2053, 780, 273, 269, 19484, 16508, 12694, 1369, 19198, 543, 17716, 692, 14399, 609, 2027, 2115, 4749, 7237, 2189, 3929, 23665, 31827, 689, 2188, 971, 607, 2168, 7687, 267, 5042, 23043, 267, 1565, 9124, 267, 610, 8965, 4713, 269, 18601, 891, 2591, 19329, 10319, 3646, 1851, 3237, 267, 7855, 267, 3782, 7426, 267, 543, 824, 16539, 6105, 269, 1677, 3927, 1489, 4299, 6107, 267, 3885, 1590, 1101, 11760, 543, 19472, 741, 4664, 267, 8716, 4082, 1247, 8195, 3450, 3617, 12003, 2994, 780, 3080, 1935, 3322, 7598, 513, 9342, 2861, 5133, 267, 10771, 1142, 1126, 781, 17916, 15421, 543, 5759, 2864, 982, 23029, 9003, 593, 19518, 269, 1635, 14637, 2127, 540, 16169, 267, 15637, 948, 5818, 1582, 12635, 543, 3895, 513, 2631, 540, 22920, 267, 7551, 7393, 3929, 6617, 269, 5015, 267, 6220, 2963, 2861, 9354, 2553, 1107, 971, 607, 5042, 15515, 24173, 3797, 630, 30274, 1070, 13172, 673, 2623, 3797, 630, 291, 6630, 1070, 610, 11009, 2853, 1107, 666, 16491, 1312, 1453, 543, 4079, 609, 1898, 2645, 585, 10188, 21500, 543, 15725, 4664, 780, 274, 269, 19737, 717, 4361, 543, 13809, 23800, 1369, 19198, 543, 17716, 692, 294, 4471, 1324, 13054, 1776, 8471, 2943, 7184, 13857, 25246, 540, 1480, 6228, 269, 2755, 1034, 4122, 2404, 609, 2669, 267, 2530, 666, 8915, 3842, 16221, 3029, 1519, 16028, 267, 882, 6327, 267, 2816, 26694, 267, 610, 21022, 2168, 4390, 269, 17859, 540, 1808, 6381, 267, 581, 516, 29713, 5222, 1169, 4759, 540, 513, 1920, 610, 2078, 3060, 267, 5732, 24254, 22107, 8172, 2360, 602, 26871, 828, 622, 2066, 2789, 11890, 780, 22546, 1947, 4393, 16236, 3340, 942, 267, 9639, 267, 543, 8296, 269, 18964, 1930, 5188, 827, 4606, 267, 4555, 267, 543, 4145, 16881, 7067, 676, 4570, 908, 1367, 2833, 543, 5009, 17604, 8015, 7104, 28194, 269, 12056, 538, 18189, 1436, 12738, 1107, 2436, 6101, 18428, 610, 13016, 6411, 540, 1121, 27320, 1107, 849, 5713, 513, 4105, 1599, 538, 14344, 4503, 6068, 3283, 543, 8497, 19644, 8823, 269, 14936, 267, 5275, 5007, 2200, 971, 607, 13508, 2533, 267, 1489, 2516, 267, 610, 3872, 2326, 949, 6961, 6225, 538, 11160, 13586, 4540, 12003, 25479, 2231, 543, 5807, 2022, 10177, 9964, 2208, 780, 275, 269, 7351, 12367, 543, 3194, 28454, 692, 13146, 7760, 538, 2029, 723, 721, 22363, 538, 5499, 4485, 547, 5466, 1920, 543, 2078, 2591, 267, 3226, 3823, 1453, 609, 2027, 2115, 269, 17791, 8234, 5867, 1631, 5512, 6552, 1569, 547, 7463, 11257, 267, 9750, 3914, 543, 4227, 7496, 547, 2126, 269, 14044, 4641, 4066, 13974, 2709, 15138, 23913, 1565, 3255, 267, 3850, 3755, 547, 2259, 1007, 1983, 1369, 20533, 5054, 20009, 547, 17634, 543, 17117, 780, 19602, 267, 24567, 1382, 5170, 547, 22113, 3209, 4030, 4478, 22686, 3347, 543, 3929, 8171, 269, 589, 476, 1708, 271, 1353, 3370, 538, 519, 4750, 540, 25141, 543, 7731, 7000, 602, 18971, 262, 9525, 538, 12391, 585, 1453, 609, 9124, 9797, 6766, 11299, 262, 5626, 16369, 267, 25967, 1681, 519, 2956, 540, 12581, 6498, 540, 4074, 1369, 10820, 21679, 609, 3606, 11928, 1516, 7569, 269, 3958, 267, 6932, 13753, 883, 27981, 7497, 2303, 1761, 18817, 585, 3358, 6304, 2994, 13389, 5444, 4082, 25244, 267, 5356, 4126, 585, 4824, 10835, 2359, 543, 2298, 540, 1272, 3986, 906, 780, 276, 269, 10390, 692, 32382, 1920, 6384, 543, 14375, 3347, 6799, 513, 15400, 3460, 678, 1057, 609, 12587, 543, 2591, 7567, 269, 1280, 1453, 609, 2027, 2115, 29270, 3929, 23665, 543, 16236, 2833, 267, 11215, 5121, 1831, 16832, 22225, 12765, 7675, 6043, 543, 9542, 269, 3414, 18532, 14713, 540, 2635, 3347, 8547, 2390, 3972, 267, 2792, 267, 543, 8994, 1620, 267, 3885, 543, 2950, 666, 6536, 6099, 1646, 267, 6830, 1518, 3929, 14425, 267, 543, 7520, 7067, 8015, 14488, 269, 0, 2080, 568, 606, 1349, 689, 513, 2546, 281, 834, 30531, 16908, 267, 513, 2442, 1272, 11191, 3014, 267, 2636, 5716, 547, 2661, 3059, 2729, 4904, 609, 10761, 543, 2591, 269, 2290, 2101, 2460, 540, 519, 3014, 568, 5883, 3347, 543, 1920, 6384, 267, 799, 666, 7494, 1764, 513, 6345, 779, 1995, 543, 4093, 269, 901, 538, 3829, 3391, 786, 2263, 519, 14960, 540, 9779, 16908, 779, 2078, 543, 1920, 1062, 267, 3246, 3407, 4030, 883, 875, 547, 2226, 2635, 4296, 267, 960, 998, 1272, 2621, 267, 543, 1628, 513, 6793, 5691, 1920, 563, 1103, 9779, 16908, 267, 5716, 723, 519, 4316, 547, 1106, 3347, 609, 5691, 2828, 267, 4891, 267, 543, 1920, 2818, 267, 1142, 609, 741, 3982, 14789, 543, 21274, 269, 3807, 899, 538, 1483, 3734, 267, 2635, 3347, 538, 519, 3014, 2154, 1620, 267, 2792, 267, 543, 14207, 269, 1635, 2519, 593, 519, 2609, 602, 3565, 547, 3811, 4296, 267, 5716, 666, 11694, 741, 18399, 543, 1711, 513, 3059, 1272, 4502, 2713, 563, 19465, 543, 16237, 28517, 17716, 538, 9779, 16908, 454, 2414, 1628, 543, 2226, 513, 2178, 8887, 328, 6231, 2237, 606, 3573, 543, 2143, 1576, 1770, 538, 513, 1837, 585, 2852, 1053, 1644, 547, 519, 1349, 1657, 267, 2519, 593, 674, 4456, 6579, 312, 1299, 23781, 9569, 17239, 296, 4916, 1315, 5753, 609, 7981, 20126, 1315, 10515, 532, 609, 16508, 12694, 543, 717, 4361, 269, 1684, 711, 1175, 1592, 2035, 267, 855, 1020, 1142, 835, 538, 1469, 1354, 3001, 547, 519, 1985, 267, 607, 649, 4225, 3178, 540, 1620, 543, 3102, 3408, 540, 519, 1641, 2339, 936, 4560, 563, 2521, 547, 1384, 268, 3550, 538, 3829, 3795, 540, 519, 2035, 563, 268, 2422, 513, 2239, 2219, 4538, 2511, 563, 268, 4045, 519, 1888, 609, 1699, 3466, 267, 1483, 3734, 1806, 267, 610, 2487, 2090, 563, 2710, 711, 1331, 513, 2140, 267, 2606, 2453, 610, 2592, 269, 3503, 519, 1543, 2047, 269, 0, 7705, 281, 19850, 7585, 267, 723, 596, 2479, 2219, 827, 9683, 7977, 286, 594, 4312, 4862, 621, 781, 2407, 540, 5863, 1686, 543, 3579, 8631, 547, 1294, 2439, 7692, 281, 26419, 286, 6145, 1018, 2186, 540, 1686, 2496, 8334, 281, 4270, 267, 7977, 814, 1044, 1472, 585, 513, 2731, 1279, 942, 267, 865, 789, 723, 6266, 540, 2025, 5656, 543, 11247, 269, 1280, 1383, 267, 789, 723, 519, 2051, 657, 572, 636, 267, 799, 568, 1141, 1350, 14508, 2209, 1031, 547, 4339, 1142, 824, 538, 4395, 540, 513, 2462, 15624, 2439, 7692, 281, 5808, 320, 267, 602, 4992, 15813, 256, 1809, 1946, 1131, 1004, 1616, 547, 4585, 824, 1004, 8165, 2496, 8334, 281, 2334, 781, 1175, 1018, 789, 1705, 1394, 1287, 269, 4658, 17329, 547, 1294, 945, 729, 519, 16999, 543, 2909, 4034, 269, 898, 781, 1271, 547, 3314, 602, 1114, 2053, 1185 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 5984, 2480, 515, 22611, 269, 5381, 547, 15751, 267, 670, 9007, 5249, 607, 513, 17002, 538, 1715, 3840, 282, 646, 1185, 1100, 9939, 609, 1010, 26136, 543, 3366, 606, 29043, 1272, 269, 769, 21658, 547, 519, 2480, 515, 22611, 1920, 519, 681, 1054, 779, 6410, 689, 27201, 270, 645, 992, 985, 6807, 547, 519, 13722, 5101, 17121, 538, 1715, 3840, 563, 21837, 568, 13269, 607, 513, 6213, 1126, 267, 856, 571, 3022, 676, 519, 4638, 2833, 646, 2306, 610, 22168, 269, 769, 519, 8772, 3184, 540, 519, 1433, 621, 568, 24955, 945, 4564, 681, 1054, 950, 646, 6822, 340, 806, 6424, 779, 23013, 538, 519, 25810, 269, 1879, 3379, 547, 519, 2278, 779, 1378, 1272, 267, 519, 3209, 11392, 513, 1007, 543, 1114, 4644, 269, 11910, 621, 12619, 666, 581, 2808, 513, 2413, 626, 3801, 540, 513, 1654, 6150, 26249, 563, 274, 269, 634, 12474, 540, 519, 1433, 454, 24445, 621, 12619, 568, 5258, 883, 513, 7139, 4084, 543, 2185, 2694, 281, 3883, 594, 634, 8426, 541, 267, 3883, 4083, 634, 16514, 267, 3883, 8633, 634, 15021, 543, 3883, 10001, 634, 12565, 269, 634, 7139, 4084, 6257, 519, 12625, 540, 6424, 543, 1010, 3993, 2637, 5984, 538, 1715, 3840, 950, 646, 568, 827, 476, 1240, 3923, 2025, 269, 898, 3568, 519, 22653, 542, 540, 519, 1920, 267, 606, 693, 2988, 673, 22653, 542, 538, 799, 519, 4651, 15751, 2907, 3217, 519, 2990, 540, 606, 796, 331, 8221, 543, 10795, 812, 563, 763, 8426, 541, 6257, 6424, 779, 1272, 538, 645, 992, 985, 6807, 950, 646, 568, 827, 2947, 1296, 2025, 269, 15751, 779, 16111, 2530, 540, 6009, 267, 7526, 609, 519, 7023, 1453, 543, 700, 17458, 779, 31593, 538, 519, 2480, 515, 22611, 1920, 616, 1152, 513, 1906, 3344, 602, 31083, 20760, 6424, 779, 2833, 269, 1261, 4667, 8572, 547, 2743, 1010, 4651, 779, 6788, 267, 3085, 1406, 1265, 2828, 3362, 543, 1010, 4555, 11457, 1472, 1010, 3993, 269, 769, 1840, 15751, 779, 1152, 3659, 700, 17458, 267, 513, 4604, 518, 693, 519, 2480, 515, 541, 3149, 685, 12129, 3349, 267, 13290, 547, 1118, 8441, 593, 2637, 5984, 269, 1879, 6424, 12034, 700, 17458, 4283, 1010, 1753, 267, 646, 554, 1938, 538, 519, 1591, 541, 855, 4166, 1965, 7870, 19225, 2989, 543, 8255, 2476, 269, 1261, 568, 4503, 543, 1010, 3993, 814, 547, 30321, 1864, 689, 519, 7128, 6728, 563, 2691, 15751, 9060, 513, 1007, 2816, 693, 519, 4098, 540, 634, 16514, 267, 519, 2480, 515, 541, 3149, 1847, 689, 645, 992, 985, 6807, 547, 519, 13722, 5101, 17121, 1141, 519, 6967, 2694, 540, 519, 1433, 616, 1305, 269, 590, 2210, 830, 2663, 2637, 5984, 779, 7820, 11078, 7137, 15925, 6294, 6233, 543, 13978, 609, 519, 1920, 269, 4173, 3251, 3123, 4049, 8373, 609, 6424, 779, 4651, 267, 855, 5555, 1352, 9060, 9887, 513, 9393, 543, 3762, 269, 6969, 1200, 7365, 7137, 15925, 12909, 2637, 5984, 883, 13031, 519, 2601, 1946, 1352, 9310, 15751, 269, 6424, 23986, 1513, 1010, 3993, 779, 1476, 11970, 281, 1879, 1352, 729, 1309, 269, 476, 1240, 1296, 2025, 267, 2637, 5984, 1185, 513, 2648, 26035, 609, 513, 4168, 267, 606, 1418, 626, 269, 2701, 729, 1336, 856, 543, 7142, 547, 2736, 909, 519, 2078, 543, 1265, 513, 6014, 9393, 269, 2637, 5984, 6645, 851, 540, 519, 1650, 538, 14470, 547, 3247, 6424, 689, 6947, 267, 855, 646, 3096, 519, 11353, 646, 17358, 547, 6427, 1010, 1378, 4528, 540, 519, 1650, 563, 1607, 1957, 786, 1445, 593, 519, 2034, 3368, 540, 11910, 621, 3207, 269, 3883, 8633, 4607, 922, 2012, 689, 513, 1650, 6424, 30650, 538, 524, 1117, 518, 267, 513, 6014, 1153, 547, 799, 646, 568, 2366, 547, 1451, 12355, 269, 6969, 519, 4064, 540, 2696, 267, 23109, 5905, 30037, 779, 17534, 609, 5755, 547, 1625, 1518, 1864, 269, 6424, 779, 31117, 609, 519, 4062, 540, 5755, 543, 519, 13411, 1769, 602, 10237, 919, 689, 621, 786, 1246, 519, 7911, 2394, 519, 1439, 540, 519, 3209, 543, 1291, 547, 519, 2413, 626, 6172, 1314, 538, 519, 4050, 738, 1493, 3184, 269, 2201, 519, 1554, 540, 30687, 267, 6424, 15211, 513, 1906, 10754, 2476, 689, 1010, 1753, 547, 6633, 519, 669, 636, 6308, 267, 519, 2611, 10249, 540, 682, 822, 2989, 3694, 267, 593, 519, 2703, 802, 269, 1261, 568, 9676, 676, 513, 1895, 540, 9721, 8695, 945, 3196, 1864, 547, 12235, 513, 4062, 540, 4401, 883, 519, 8265, 8364, 13475, 593, 570, 5460, 9335, 269, 634, 3167, 5279, 540, 519, 13475, 11199, 14186, 609, 513, 8755, 543, 6424, 11099, 646, 814, 2938, 519, 1482, 1769, 607, 30037, 1705, 630, 305, 1054, 476, 26839, 268, 25090, 1916, 1103, 519, 8772, 851, 540, 519, 3209, 267, 6424, 10742, 24955, 267, 513, 14470, 7911, 2713, 538, 519, 8378, 267, 543, 3587, 2828, 609, 1864, 269, 6424, 8098, 2231, 24955, 543, 568, 1360, 24330, 676, 24955, 779, 22590, 607, 1134, 607, 676, 1010, 2623, 269, 1879, 646, 6645, 24955, 827, 1010, 4587, 23013, 6480, 615, 267, 519, 4587, 7911, 12410, 806, 6424, 547, 948, 1864, 2743, 519, 8004, 538, 5728, 269, 769, 5385, 646, 3091, 6424, 513, 887, 338, 776, 267, 1317, 646, 814, 8068, 6424, 779, 25621, 585, 3909, 3688, 269, 1809, 6424, 568, 28280, 676, 519, 7237, 538, 1010, 23013, 779, 25810, 543, 7904, 525, 950, 519, 1614, 1453, 616, 4362, 676, 1010, 2034, 23013, 2717, 569, 269, 1261, 4422, 547, 524, 1117, 518, 543, 1869, 4299, 689, 519, 2621, 6645, 1010, 14558, 328, 606, 11827, 1650, 2687, 547, 799, 1010, 3237, 616, 1152, 1010, 6536, 3237, 267, 1010, 6211, 3993, 568, 4666, 543, 1010, 1483, 4651, 729, 513, 8425, 850, 563, 8867, 334, 779, 7237, 609, 6480, 615, 267, 607, 1134, 607, 519, 11827, 1650, 1267, 538, 513, 20296, 1935, 2509, 519, 3803, 11271, 269, 634, 14558, 328, 16976, 547, 1217, 6424, 779, 3237, 827, 519, 7911, 779, 1702, 543, 11564, 519, 2480, 515, 541, 3149, 269, 6480, 615, 779, 4651, 267, 1102, 584, 7007, 676, 1010, 8250, 779, 2623, 543, 6424, 779, 851, 538, 519, 2898, 2680, 267, 849, 16976, 547, 3643, 519, 2480, 515, 541, 3149, 269, 1879, 15751, 11392, 519, 3377, 646, 25001, 513, 21915, 5300, 543, 6238, 547, 2285, 6424, 513, 4049, 25588, 269, 634, 7911, 666, 9101, 609, 519, 948, 540, 1010, 3993, 543, 554, 1938, 269, 769, 3406, 585, 519, 10143, 1769, 799, 646, 11099, 547, 723, 2938, 593, 30687, 267, 646, 25001, 606, 4401, 1019, 3899, 883, 519, 13475, 593, 570, 5460, 9335, 267, 855, 713, 942, 646, 568, 9575, 676, 519, 3167, 11166, 543, 19380, 1010, 9637, 269, 1261, 568, 10710, 543, 950, 646, 7024, 1753, 10483, 676, 513, 7128, 11464, 543, 513, 4387, 267, 1010, 4651, 4667, 547, 5855, 827, 1010, 5067, 585, 519, 1101, 942, 538, 1010, 1272, 269, 634, 3209, 7475, 609, 519, 7911, 9991, 18069, 25356, 569, 563, 275, 269, 14740, 538, 11910, 621, 12619, 454, 21837, 267, 519, 16502, 540, 11910, 621, 12619, 267, 9428, 909, 538, 606, 1604, 540, 1114, 9163, 799, 681, 1054, 5932, 998, 519, 6014, 14940, 543, 4984, 593, 519, 835, 1688, 267, 998, 4654, 543, 4683, 2833, 593, 519, 824, 1688, 269, 901, 3184, 786, 5659, 519, 1114, 21384, 540, 3961, 4330, 538, 519, 3209, 563, 275, 269, 272, 6014, 11082, 538, 1715, 3840, 454, 27001, 519, 1296, 476, 6245, 280, 543, 476, 4572, 275, 3592, 1079, 2929, 6014, 11082, 9411, 519, 2136, 2276, 540, 3013, 269, 630, 294, 629, 3147, 807, 476, 9610, 4700, 681, 1054, 729, 835, 540, 873, 543, 865, 729, 519, 535, 1112, 633, 2480, 515, 22611, 1920, 538, 1010, 3209, 11910, 621, 12619, 269, 6014, 11082, 941, 5631, 15076, 689, 8109, 2342, 267, 2523, 6576, 630, 294, 629, 3147, 807, 476, 15221, 1040, 1358, 19679, 689, 606, 4550, 4149, 655, 12792, 1604, 538, 799, 789, 941, 24193, 547, 1378, 2244, 543, 7142, 547, 6443, 519, 6739, 7952, 269, 2311, 519, 4098, 540, 519, 476, 736, 628, 2540, 267, 1896, 533, 690, 668, 338, 519, 4250, 540, 2797, 31989, 540, 7642, 538, 6576, 3361, 1776, 5951, 540, 11776, 267, 2523, 547, 3013, 630, 291, 27903, 7322, 267, 543, 1234, 574, 619, 269, 5780, 1916, 763, 11082, 14612, 936, 519, 9533, 538, 5458, 9252, 2692, 1846, 543, 9411, 519, 2136, 2276, 3842, 32762, 6816, 269, 4107, 540, 519, 6014, 11082, 2705, 7283, 538, 1715, 3840, 267, 1141, 519, 968, 314, 2507, 316, 865, 10777, 15399, 1144, 7642, 945, 1185, 8452, 4505, 689, 5125, 543, 3844, 2342, 31218, 892, 1185, 2907, 3964, 513, 6014, 2146, 269, 8409, 7642, 945, 2451, 519, 4683, 1604, 547, 2661, 538, 519, 24781, 968, 314, 2507, 316, 1705, 711, 723, 513, 2929, 13807, 639, 4295, 5554, 542, 1235, 547, 1489, 513, 2407, 543, 17031, 2146, 1272, 892, 543, 4130, 2950, 968, 314, 2507, 316, 3274, 1223, 711, 1683, 519, 2686, 543, 3872, 3255, 607, 1134, 607, 519, 6014, 2631, 540, 2146, 865, 1898, 547, 891, 7532, 3864, 30226, 619, 892, 630, 291, 27903, 7322, 267, 543, 1234, 574, 619, 476, 6858, 1916, 1103, 4334, 547, 7969, 11082, 945, 2451, 2342, 968, 1721, 519, 1034, 851, 2192, 30185, 543, 5667, 330, 2683, 892, 630, 291, 27903, 7322, 267, 543, 1234, 574, 619, 476, 6872, 1070, 519, 5354, 540, 1118, 6014, 11082, 1223, 581, 968, 5035, 1881, 607, 9952, 4600, 892, 630, 291, 27903, 7322, 267, 543, 1234, 574, 619, 476, 6872, 1040, 4107, 540, 873, 3323, 2324, 538, 28630, 15327, 610, 865, 10777, 2048, 338, 933, 1846, 10914, 685, 630, 306, 528, 514, 476, 6795, 1070, 24284, 1141, 11082, 5249, 896, 1360, 3983, 2175, 585, 1970, 13848, 269, 898, 7012, 1406, 8966, 602, 513, 1007, 11832, 1185, 547, 2628, 585, 1010, 7694, 610, 968, 13195, 9277, 547, 960, 1079, 4374, 585, 4986, 31218, 892, 630, 306, 528, 514, 476, 6872, 1040, 634, 14226, 540, 9241, 8452, 11082, 729, 1455, 1870, 3609, 269, 7201, 971, 6381, 519, 1249, 602, 15751, 2480, 515, 22611, 2115, 513, 3476, 1974, 540, 942, 547, 1265, 606, 3617, 7694, 607, 513, 10683, 9920, 593, 1010, 1378, 3587, 10250, 762, 563, 268, 2372, 1774, 1957, 454, 268, 25328, 22186, 541, 2088, 661, 1457, 630, 12041, 1070, 476, 1001, 271, 267, 8361, 681, 1054, 834, 24445, 621, 3207, 257, 910, 606, 5811, 267, 22540, 267, 16998, 2562, 7638, 25419, 267, 4179, 2517, 4178, 3052, 12541, 2593, 7933, 17805, 270, 14378, 4817, 280, 0, 5327, 32606, 875, 547, 1374, 543, 1628, 519, 4518, 2006, 16353, 31584, 269, 901, 20716, 6417, 3760, 2934, 476, 275, 1790, 19991, 3760, 7387, 267, 476, 279, 16357, 5397, 14743, 267, 543, 1079, 1164, 2389, 528, 4302, 21431, 268, 613, 541, 16546, 269, 16503, 6233, 875, 547, 27043, 519, 2048, 15318, 1210, 2653, 547, 1265, 2694, 269, 476, 2764, 3817, 540, 1344, 3823, 3760, 4070, 267, 5179, 10380, 267, 5925, 31092, 22812, 576, 1853, 267, 543, 5907, 17120, 269, 22291, 2694, 8638, 543, 28176, 269, 3117, 1235, 540, 2143, 1257, 543, 2681, 6337, 538, 14103, 3898, 602, 666, 581, 10268, 543, 9102, 689, 707, 11422, 269, 32577, 2975, 853, 2086, 1843, 3009, 849, 3769, 267, 4712, 585, 15205, 547, 513, 3474, 718, 1314, 29172, 272, 853, 2086, 563, 2791, 949, 849, 899, 912, 1103, 713, 3992, 267, 649, 3136, 593, 609, 2870, 513, 4604, 1374, 609, 519, 28176, 649, 2813, 538, 519, 2063, 1896, 4245, 269, 1284, 786, 3382, 1862, 0, 7883, 532, 7982, 547, 2836, 328, 256, 5901, 10289, 4347, 11367, 256, 16376, 12475, 334, 2478, 689, 513, 9212, 6371, 2627, 2073, 6366, 4224, 2073, 6405, 689, 513, 26745, 269, 5565, 28849, 616, 3622, 6444, 269, 32202, 18857, 1249, 9212, 269, 3776, 3896, 2488, 1569, 547, 23291, 2030, 267, 5726, 267, 2073, 3662, 18915, 1344, 2200, 269, 670, 16636, 3724, 12475, 18857, 269, 4325, 1188, 1194, 268, 22087, 331, 6016, 268, 32202, 18857, 268, 5517, 268, 16847, 563, 18744, 519, 3979, 838, 13899, 12475, 18857, 568, 1249, 3677, 269, 4658, 540, 519, 19164, 269, 32202, 18857, 13317, 20180, 832, 568, 606, 5092, 9614, 21751, 538, 7396, 1648, 9541, 269, 769, 930, 2694, 540, 5607, 16015, 616, 2808, 513, 29535, 2329, 2073, 10122, 9212, 568, 513, 2462, 1966, 585, 1082, 12475, 18857, 14854, 2249, 538, 519, 3552, 269, 2274, 16985, 32202, 18857, 630, 853, 10176, 28970, 569, 338, 1496, 2983, 665, 3559, 821, 316, 533, 731, 23653, 264, 634, 682, 16985, 12475, 18857, 568, 519, 2034, 4102, 12475, 18857, 5065, 547, 4000, 563, 293, 880, 17039, 267, 3345, 10491, 267, 11908, 267, 8419, 267, 17896 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 2421, 4024, 267, 476, 279, 2918, 332, 747, 10247, 454, 288, 2875, 4337, 1149, 1272, 538, 519, 2104, 563, 2421, 7917, 267, 476, 279, 2918, 6224, 296, 454, 288, 6648, 602, 7710, 519, 9620, 540, 9553, 4600, 563, 2421, 1234, 577, 629, 570, 1421, 476, 279, 2918, 17584, 454, 1607, 6648, 3217, 513, 30642, 1935, 547, 10503, 513, 6429, 563, 2421, 3223, 10042, 267, 476, 279, 2918, 332, 747, 10247, 454, 2304, 834, 296, 589, 3245, 257, 6648, 269, 2296, 543, 5053, 8747, 3769, 563, 2421, 13966, 330, 1941, 267, 476, 279, 2918, 1715, 20252, 454, 1103, 713, 6571, 6273, 676, 519, 834, 25147, 25126, 257, 3992, 543, 14295, 3019, 8416, 1650, 4580, 267, 649, 1451, 602, 7429, 729, 29422, 10733, 332, 625, 267, 972, 568, 1100, 1163, 19418, 4266, 585, 1818, 993, 1742, 563, 2421, 808, 2131, 11535, 267, 476, 279, 2918, 11785, 454, 288, 2875, 9356, 593, 1018, 621, 3217, 547, 1796, 909, 547, 13032, 625, 543, 3717, 909, 585, 1866, 563, 2421, 10793, 267, 6103, 476, 276, 267, 476, 279, 2918, 1715, 20252, 454, 1103, 713, 13973, 267, 513, 2875, 8843, 1614, 2312, 3527, 547, 1796, 909, 547, 13032, 625, 563, 2421, 19869, 1731, 629, 597, 267, 2085, 476, 279, 267, 476, 279, 2918, 9049, 303, 454, 1607, 6648, 3096, 519, 476, 272, 560, 1268, 1448, 6361, 268, 1613, 547, 1397, 1018, 1272, 5654, 899, 585, 513, 16025, 678, 25114, 333, 820, 563, 2421, 24898, 267, 476, 279, 2918, 332, 747, 10247, 454, 288, 1360, 3621, 1427, 2454, 540, 1946, 17878, 4682, 17255, 563, 2421, 2997, 320, 570, 817, 514, 926, 267, 476, 279, 2918, 11785, 454, 288, 11648, 10071, 593, 519, 1153, 1668, 621, 2583, 922, 1259, 856, 563, 2421, 15011, 3139, 674, 1421, 476, 279, 2918, 9049, 303, 454, 1607, 6648, 3096, 10855, 1893, 547, 4734, 519, 5467, 10881, 827, 519, 3662, 621, 568, 18995, 563, 2421, 22398, 529, 267, 476, 279, 2918, 29369, 290, 454, 4002, 519, 4541, 9370, 267, 2098, 4141, 1590, 14710, 519, 27459, 650, 664, 2098, 17789, 1941, 547, 1285, 3188, 1200, 1920, 256, 27016, 1765, 13195, 621, 782, 513, 5326, 888, 2421, 24006, 267, 476, 279, 2918, 29369, 290, 454, 288, 2875, 9356, 593, 741, 2833, 609, 11648, 543, 875, 789, 3580, 1491, 513, 1796, 538, 519, 2104, 563, 2421, 2274, 12858, 267, 476, 279, 2918, 29369, 290, 454, 2304, 5169, 1650, 585, 2635, 1426, 267, 5473, 606, 12473, 6370, 1063, 1625, 3272, 528, 540, 1164, 1922, 28229, 8970, 21360, 267, 30370, 31780, 267, 543, 513, 24123, 6512, 540, 22730, 563, 2421, 15310, 9874, 267, 476, 279, 2918, 332, 747, 10247, 454, 288, 1592, 6648, 827, 513, 4190, 4055, 543, 513, 4190, 1920, 538, 1312, 2296, 543, 5053, 563, 2421, 8575, 807, 590, 8986, 267, 476, 279, 2918, 332, 747, 10247, 454, 1607, 2875, 6257, 3078, 1919, 519, 2104, 786, 3142, 267, 899, 6173, 2209, 602, 666, 3914, 2230, 2336, 2421, 2506, 28609, 267, 476, 279, 2918, 17584, 454, 288, 2123, 2239, 827, 513, 13035, 1101, 8289, 532, 1063, 14552, 593, 513, 1920, 7552, 547, 4432, 30571, 563, 2421, 5681, 11535, 267, 476, 279, 2918, 9049, 303, 454, 1607, 6648, 3096, 12746, 625, 547, 4766, 1114, 3615, 519, 5856, 1131, 899, 547, 581, 563, 2421, 23723, 320, 267, 476, 279, 2918, 29369, 290, 454, 2304, 834, 296, 2549, 3245, 257, 15705, 1268, 320, 6648, 563, 2421, 26056, 267, 476, 279, 2918, 6224, 296, 454, 2704, 1329, 28749, 543, 513, 1762, 7911, 585, 613, 513, 11505, 936, 513, 10565, 3126, 540, 2621, 563, 2421, 4432, 1014, 632, 15182, 267, 476, 279, 2918, 29369, 290, 454, 288, 6648, 602, 6212, 593, 2681, 543, 18922, 621, 883, 10444, 3877, 563, 2421, 589, 569, 1087, 320, 267, 24910, 267, 29775, 822, 334, 267, 11835, 576, 14979, 267, 543, 28792, 267, 476, 279, 2918, 6369, 454, 1103, 2257, 1362, 267, 15117, 519, 631, 4842, 648, 2306, 1187, 540, 2961, 5055, 519, 654, 3558, 585, 1210, 9059, 267, 543, 513, 1906, 676, 1056, 619, 1900, 538, 547, 1491, 513, 1796, 1996, 11648, 563, 292, 3149, 773, 267, 476, 279, 2918, 1715, 20252, 454, 1103, 713, 6648, 267, 513, 2875, 22842, 23141, 563, 2421, 22398, 529, 267, 476, 279, 2918, 332, 747, 10247, 454, 1607, 2875, 6257, 1018, 621, 1131, 581, 899, 547, 1831, 519, 1101, 4775, 7022, 267, 5859, 532, 593, 2069, 585, 782, 267, 3659, 17067, 8456, 267, 811, 1426, 543, 8027, 267, 543, 6777, 2395, 2336, 2421, 595, 3559, 22855, 267, 476, 279, 2918, 29369, 290, 454, 2304, 27268, 2987, 743, 1441, 2875, 10596, 593, 741, 5172, 4388, 585, 2348, 1187, 1354, 11359, 3446, 6238, 563, 2421, 1234, 13433, 267, 476, 279, 2918, 29369, 290, 454, 288, 3860, 2361, 3391, 547, 519, 9456, 12457, 29160, 563, 2421, 19664, 4469, 2803, 966, 1794, 4302, 345, 267, 476, 279, 2918, 4406, 16780, 807, 454, 1607, 6648, 14550, 519, 7145, 540, 10855, 1893, 563, 2421, 772, 2742, 267, 476, 279, 2918, 29369, 290, 454, 288, 18854, 1399, 1305, 540, 18174, 16513, 4584, 1575, 3515, 563, 2421, 8277, 1467, 267, 476, 279, 2918, 17584, 454, 288, 2123, 2239, 827, 513, 12322, 773, 267, 6263, 3787, 540, 30983, 585, 513, 1007, 4816, 11078, 7432, 883, 2648, 563, 2421, 7917, 267, 476, 279, 2918, 6224, 296, 454, 288, 4015, 540, 688, 1731, 639, 17364, 2835, 543, 14421, 1108, 563, 2421, 24910, 267, 476, 279, 2918, 6369, 454, 288, 4484, 689, 519, 2278, 547, 519, 2278, 593, 19825, 1312, 519, 23349, 543, 6671, 2694, 540, 13951, 563, 2421, 6660, 334, 267, 476, 279, 2918, 29369, 290, 454, 288, 3860, 5169, 1650, 538, 799, 513, 27732, 8195, 5932, 1272, 543, 7350, 538, 513, 1982, 563, 2421, 595, 1446, 662, 267, 476, 279, 2918, 6369, 454, 288, 4484, 5356, 513, 13801, 2943, 8903, 1592, 540, 782, 602, 19179, 1080, 538, 15829, 563, 2421, 23723, 320, 267, 476, 279, 2918, 29369, 290, 454, 1103, 713, 6648, 267, 513, 2875, 7710, 1312, 519, 2938, 543, 31305, 7060, 540, 513, 15705, 563, 2421, 3223, 10042, 590, 20166, 1421, 476, 279, 2918, 332, 747, 10247, 454, 2304, 968, 296, 2549, 3245, 892, 6648, 827, 3395, 909, 538, 24354, 563, 2421, 13669, 807, 267, 476, 279, 2918, 29369, 290, 454, 288, 3860, 2361, 3391, 547, 7256, 2913, 21949, 563, 2421, 2806, 19734, 553, 597, 267, 476, 279, 2918, 9049, 303, 454, 1607, 6648, 8843, 1018, 2576, 1522, 1995, 593, 19343, 563, 2421, 808, 531, 523, 267, 476, 279, 2918, 29369, 290, 454, 288, 3126, 540, 15705, 688, 30884, 6273, 676, 4702, 5728, 561, 4202, 563, 2421, 6428, 2742, 267, 6103, 476, 276, 267, 476, 279, 2918, 11785, 454, 288, 2875, 19595, 9887, 540, 519, 1082, 2081, 1352, 31438, 454, 2421, 715, 7614, 773, 267, 476, 279, 2918, 4406, 16780, 807, 454, 288, 11600, 585, 875, 547, 1711, 513, 19416, 986, 3899, 563, 2421, 22189, 5211, 320, 18937, 541, 549, 267, 476, 279, 2918, 4406, 16780, 807, 454, 1607, 6648, 22842, 543, 22378, 985, 513, 512, 23147, 563, 2421, 8841, 267, 476, 279, 2918, 4406, 16780, 807, 454, 2304, 522, 1372, 547, 2142, 753, 267, 19676, 267, 543, 26560, 563, 2421, 674, 9820, 320, 267, 2085, 476, 280, 267, 476, 279, 2918, 9049, 303, 454, 1607, 6648, 11339, 689, 519, 5133, 540, 513, 16217, 21961, 1744, 17415, 10060, 8768, 267, 24223, 513, 1554, 538, 922, 1272, 563, 2421, 10548, 520, 9567, 773, 267, 476, 279, 2918, 17584, 454, 288, 2875, 8843, 8823, 540, 28006, 689, 717, 25995, 547, 513, 1007, 1753, 538, 519, 2136, 2276, 267, 2347, 609, 513, 6777, 344, 7237, 563, 2421, 962, 732, 569, 267, 476, 279, 2918, 332, 747, 10247, 454, 288, 6648, 827, 6264, 2742, 269, 2296, 543, 5053, 8747, 3769, 563, 2421, 30546, 267, 476, 279, 2918, 6224, 296, 454, 763, 1650, 540, 513, 10715, 1765, 32173, 958, 563, 2421, 700, 559, 10005, 267, 476, 279, 2918, 17584, 454, 1607, 2875, 779, 2295, 12577, 2123, 2239, 6257, 1018, 621, 666, 1745, 899, 547, 723, 707, 3237, 1205, 32682, 1027, 563, 2421, 966, 14489, 320, 267, 476, 279, 2918, 6224, 296, 454, 288, 20599, 781, 6296, 7552, 585, 27966, 26889, 5820, 2164, 538, 513, 7745, 6186, 2336, 2421, 962, 15756, 17844, 267, 476, 279, 2918, 6369, 454, 1103, 713, 6571, 6273, 676, 519, 834, 25147, 25126, 257, 3992, 543, 14295, 3019, 8416, 1650, 4580, 267, 649, 1451, 875, 513, 15826, 9983, 666, 6505, 523, 513, 3659, 781, 1554, 563, 2421, 27118, 267, 476, 279, 2918, 17584, 454, 288, 2875, 16137, 606, 1271, 3992, 827, 9363, 9350, 1247, 22281, 532, 513, 7552, 547, 29106, 12567, 602, 3303, 4705, 856, 540, 1852, 2336, 2421, 5981, 320, 267, 476, 279, 2918, 332, 747, 10247, 454, 288, 6648, 602, 16919, 899, 14723, 18223, 16741, 563, 2421, 3057, 1723, 267, 476, 279, 2918, 6369, 454, 288, 5496, 2452, 827, 513, 7077, 16154, 543, 606, 12473, 3460, 547, 6792, 267, 609, 513, 6335, 2336, 2421, 631, 1229, 603, 267, 476, 279, 2918, 332, 747, 10247, 454, 288, 6648, 827, 8608, 13355, 9909, 563, 2421, 700, 2088, 267, 476, 279, 2918, 4406, 16780, 807, 454, 288, 3765, 2151, 31773, 11600, 10912, 585, 476, 274, 26486, 540, 17711, 267, 476, 1015, 17529, 540, 711, 28617, 267, 543, 476, 1911, 17529, 540, 3993, 563, 2421, 16653, 328, 700, 1421, 476, 279, 2918, 17584, 454, 1103, 713, 6648, 267, 519, 2278, 11828, 741, 8129, 998, 14165, 563, 2421, 654, 842, 320, 267, 476, 279, 2918, 17584, 454, 288, 13801, 855, 1898, 1592, 540, 6668, 4388, 538, 519, 2680, 540, 513, 6653, 9568, 563, 2421, 18238, 267, 476, 279, 2918, 6224, 296, 454, 1607, 2875, 22281, 338, 513, 14070, 10004, 609, 6723, 6115, 827, 519, 1977, 7169, 936, 513, 7594, 563, 2421, 715, 7614, 807, 267, 476, 279, 2918, 6224, 296, 454, 288, 1650, 5143, 676, 1200, 22516, 5012, 5975, 1399, 593, 513, 3460, 1141, 5708, 543, 4641, 2458, 728, 563, 2421, 3244, 821, 267, 476, 279, 2918, 332, 747, 10247, 454, 288, 6648, 827, 19825, 4054, 543, 1946, 649, 1058, 1353, 873, 563, 2421, 9986, 14746, 267, 476, 279, 2918, 29369, 290, 454, 2304, 1605, 4445, 585, 8970, 563, 2421, 661, 327, 1889, 569, 267, 476, 279, 2918, 6224, 296, 454, 288, 2629, 4413, 633, 585, 4896, 4730, 513, 1164, 3613, 1389, 3014, 540, 834, 295, 728, 543, 16418, 8487, 2421, 6428, 574, 520, 537, 267, 476, 279, 2918, 29369, 290, 454, 29310, 267, 513, 27959, 609, 2706, 335, 10183, 543, 606, 29152, 2389, 29354, 20933, 330, 1157, 1590, 4688, 519, 4622, 543, 15596, 540, 10806, 2311, 541, 3821, 2336, 2421, 595, 3511, 534, 267, 476, 279, 2918, 29369, 290, 454, 288, 3860, 2361, 3391, 547, 513, 631, 712, 940, 1849, 334, 752, 18173, 945, 2729, 538, 1715, 3840, 4975, 563, 2421, 18581, 267, 476, 279, 2918, 11785, 454, 11900, 18944, 676, 11518, 20943, 2284, 781, 4144, 776, 540, 513, 654, 574, 6853, 17718, 267, 713, 4062, 3568, 513, 3126, 540, 4760, 13366, 543, 3652, 585, 513, 1007, 7328, 676, 535, 1112, 25875, 8331, 1766, 894, 32652, 590, 2466, 1399, 563, 2421, 21322, 267, 476, 279, 2918, 6224, 296, 454, 288, 24564, 3957, 27991, 2917, 17990, 519, 2831, 540, 519, 4104, 689, 606, 9409, 9457, 2336, 2421, 10878, 23449, 267, 476, 279, 2918, 332, 747, 10247, 454, 288, 630, 2865, 569, 264, 2648, 4484, 547, 513, 737, 12685, 328, 609, 8949, 11052, 563, 2421, 21142, 267, 476, 279, 2918, 17584, 454, 1607, 6648, 6257, 519, 4555, 540, 14000, 563, 2421, 645, 2001, 534, 700, 10044, 267, 476, 279, 2918, 332, 747, 10247, 454, 1103, 713, 6648, 267, 513, 2875, 12667, 569, 22281, 338, 8384, 634, 7201, 339, 6033, 1685, 513, 15040, 669, 10280, 4594, 593, 654, 6135, 548, 10048, 807, 269, 18838, 538, 5053, 543, 2296, 563, 2421, 700, 8160, 1421, 476, 279, 2918, 6224, 296, 454, 763, 1650, 540, 513, 24949, 15293, 3957, 7788, 9278, 267, 513, 1544, 547, 32043, 777, 1453, 593, 19343, 267, 543, 606, 12691, 7237, 602, 8761, 519, 3020, 2470, 540, 11505, 563, 2421, 4432, 6511, 267, 476, 279, 2918, 332, 747, 10247, 454, 1320, 9722, 540, 22216, 787, 3213, 651, 9067, 17953, 267, 2146, 267, 543, 15472, 267, 713, 15669, 22842, 1272, 689, 741, 4395, 588, 17274, 563, 2421, 4168, 267, 476, 279, 2918, 1715, 20252, 454, 1607, 6648, 3096, 1268, 2305, 547, 6338, 519, 5304, 547, 606, 14462, 543, 922, 23013, 267, 11518, 563, 2421, 667, 7469, 928, 267, 476, 279, 2918, 4406, 16780 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 277, 476, 278, 269, 9502, 476, 272, 269, 1704, 634, 1305, 540, 2009, 2418, 585, 513, 4351, 4756, 568, 5219, 607, 513, 2039, 540, 320, 4351, 4756, 269, 7078, 476, 272, 269, 1321, 6333, 519, 1739, 6901, 540, 4351, 4632, 267, 5581, 519, 12690, 4756, 267, 2697, 519, 2039, 585, 1142, 4351, 4756, 267, 543, 19665, 621, 607, 15768, 610, 11666, 6681, 269, 476, 272, 269, 16212, 513, 11777, 476, 273, 269, 19184, 513, 5884, 2394, 513, 476, 277, 5526, 476, 274, 269, 2298, 14791, 540, 513, 695, 3612, 540, 14475, 3688, 269, 476, 275, 269, 12625, 540, 6075, 547, 513, 4871, 14240, 476, 272, 269, 1240, 2913, 581, 519, 4351, 2230, 585, 930, 4351, 4603, 269, 1280, 1022, 2680, 3698, 1441, 593, 2073, 2398, 3890, 568, 513, 1599, 799, 3651, 338, 513, 1297, 547, 519, 2680, 269, 2398, 10490, 264, 568, 1572, 519, 22238, 1464, 540, 2680, 589, 3177, 519, 1739, 2175, 3180, 281, 263, 320, 7565, 321, 7565, 322, 264, 23536, 1464, 568, 1031, 547, 22945, 519, 10171, 267, 610, 4960, 267, 602, 606, 2680, 786, 2049, 609, 842, 515, 3732, 2230, 269, 476, 278, 476, 279, 269, 24269, 513, 3732, 5161, 540, 715, 2009, 4093, 2073, 519, 5506, 540, 1142, 6364, 568, 272, 21610, 31628, 332, 476, 272, 269, 278, 17438, 32492, 16390, 4131, 589, 543, 645, 2621, 3989, 593, 513, 3732, 2230, 2073, 543, 1577, 2715, 288, 272, 267, 589, 273, 267, 2073, 1323, 348, 581, 513, 4015, 1993, 2621, 3989, 593, 1547, 3973, 5416, 7565, 321, 7565, 322, 7565, 323, 7565, 324, 7565, 325, 264, 17357, 3326, 776, 476, 272, 269, 272, 5742, 540, 8422, 610, 2859, 15638, 4131, 589, 267, 645, 267, 595, 543, 667, 581, 2621, 3989, 593, 513, 3732, 2230, 1547, 3973, 267, 7468, 263, 589, 645, 595, 3738, 815, 2398, 263, 589, 264, 1341, 2398, 263, 645, 3738, 1341, 2398, 18154, 3738, 2398, 263, 589, 645, 3738, 2398, 263, 589, 595, 3738, 2398, 263, 645, 595, 3738, 1341, 2398, 263, 589, 645, 595, 3738, 663, 7468, 263, 589, 645, 595, 667, 3738, 815, 2398, 263, 589, 264, 1341, 2398, 263, 645, 264, 1341, 2398, 18154, 3738, 1341, 2398, 263, 667, 264, 2398, 263, 589, 645, 264, 2398, 263, 589, 595, 3738, 2398, 263, 589, 667, 3738, 2398, 263, 645, 595, 3738, 2398, 263, 645, 667, 264, 2398, 18154, 667, 264, 1341, 2398, 263, 589, 645, 595, 3738, 1341, 2398, 263, 589, 645, 667, 264, 1341, 2398, 263, 645, 595, 667, 264, 1341, 2398, 263, 589, 645, 595, 667, 3738, 7078, 476, 272, 269, 1556, 2913, 589, 267, 645, 543, 595, 581, 2621, 3989, 593, 513, 3732, 2230, 2398, 10490, 264, 815, 476, 271, 269, 1789, 7468, 16360, 322, 264, 815, 476, 271, 269, 2568, 7468, 18154, 264, 815, 476, 271, 269, 736, 7468, 10490, 645, 264, 815, 476, 271, 269, 2004, 7468, 263, 645, 595, 3738, 815, 476, 271, 269, 4962, 288, 543, 595, 616, 20102, 12600, 15253, 1393, 519, 1739, 17831, 5416, 264, 2398, 16360, 264, 476, 279, 476, 280, 269, 630, 321, 264, 2398, 263, 645, 595, 3738, 815, 630, 322, 264, 2398, 263, 589, 645, 3738, 630, 323, 264, 2398, 263, 589, 595, 3738, 630, 324, 264, 2398, 263, 589, 595, 3738, 630, 325, 264, 2398, 263, 645, 595, 524, 3738, 630, 326, 264, 2398, 263, 589, 645, 595, 3738, 815, 272, 269, 274, 14412, 10521, 2621, 616, 4830, 952, 1022, 835, 540, 519, 1739, 6697, 6898, 568, 3020, 476, 280, 476, 1015, 269, 630, 272, 264, 623, 10490, 21270, 264, 815, 623, 10490, 264, 630, 273, 264, 623, 16360, 24820, 264, 815, 623, 16360, 264, 630, 274, 264, 623, 630, 589, 645, 3738, 815, 623, 630, 589, 264, 623, 630, 645, 3738, 7151, 476, 273, 269, 3066, 630, 1504, 960, 538, 1362, 264, 272, 269, 275, 16448, 531, 17438, 14240, 476, 272, 269, 866, 269, 2913, 589, 543, 645, 2621, 5581, 593, 513, 3732, 2230, 645, 1547, 1284, 3277, 547, 7468, 10490, 21270, 264, 607, 519, 19585, 5506, 540, 2680, 2016, 519, 12136, 540, 2680, 645, 267, 1141, 7468, 263, 8028, 1923, 645, 264, 815, 22238, 1464, 540, 711, 589, 2016, 645, 476, 1015, 476, 1556, 269, 4063, 602, 2398, 10490, 21270, 322, 264, 476, 272, 6261, 337, 10490, 21270, 264, 7078, 476, 272, 269, 1321, 288, 19202, 5663, 9744, 568, 6417, 538, 513, 6073, 971, 602, 476, 273, 260, 540, 2006, 3011, 3293, 13365, 616, 16271, 547, 1164, 2157, 540, 12526, 269, 1403, 513, 13863, 568, 16271, 547, 14683, 2157, 540, 12526, 267, 972, 568, 513, 476, 1321, 260, 4960, 602, 621, 786, 3111, 4152, 269, 1548, 568, 519, 22238, 1464, 602, 513, 13863, 568, 16271, 547, 1164, 2157, 540, 12526, 543, 14543, 2390, 4255, 286, 322, 284, 325, 284, 7468, 263, 11947, 524, 1377, 264, 815, 7468, 263, 293, 841, 1923, 1164, 524, 1377, 264, 815, 7468, 263, 15598, 264, 815, 7078, 476, 272, 269, 1724, 2304, 2011, 2298, 1449, 568, 2966, 547, 3713, 519, 4527, 540, 1079, 6675, 630, 332, 1961, 9908, 476, 272, 543, 332, 1961, 9908, 476, 273, 1040, 476, 1704, 260, 540, 782, 5439, 2270, 1312, 6675, 267, 543, 476, 4366, 260, 540, 782, 5439, 2270, 332, 1961, 9908, 476, 272, 269, 1403, 513, 3732, 3568, 11140, 476, 272, 267, 1018, 568, 519, 5506, 602, 621, 849, 3568, 332, 1961, 9908, 476, 273, 286, 300, 272, 815, 11140, 476, 272, 300, 273, 815, 11140, 476, 273, 7468, 29687, 272, 300, 273, 264, 815, 7468, 29687, 272, 264, 815, 7468, 29687, 273, 23277, 272, 264, 815, 31628, 332, 476, 272, 269, 279, 16544, 540, 16448, 531, 17438, 4131, 589, 543, 645, 581, 1875, 268, 24105, 2680, 3989, 593, 513, 3732, 2230, 1547, 3973, 630, 320, 264, 1403, 589, 543, 645, 616, 20102, 12600, 1287, 2398, 10490, 21270, 264, 815, 476, 271, 630, 321, 264, 1403, 589, 645, 1287, 2398, 10490, 21270, 264, 285, 284, 7468, 10490, 264, 1556, 476, 1321, 269, 630, 322, 264, 1403, 645, 589, 1287, 2398, 10490, 21270, 264, 815, 272, 31628, 332, 476, 272, 269, 280, 4521, 540, 11192, 17438, 3487, 476, 272, 4131, 589, 543, 645, 581, 2621, 3989, 593, 513, 3732, 2230, 589, 2073, 645, 2073, 645, 322, 1547, 3973, 7078, 476, 272, 269, 1428, 288, 1978, 6191, 2773, 666, 581, 6353, 676, 519, 2298, 540, 513, 1883, 5057, 269, 11463, 260, 540, 6191, 609, 513, 26843, 1883, 5057, 786, 3111, 269, 24641, 1152, 476, 272, 260, 540, 332, 778, 1149, 530, 328, 0, 258, 8249, 692, 2108, 291, 3496, 892, 512, 11804, 548, 538, 4642, 575, 1107, 13772, 513, 3381, 540, 513, 570, 11804, 548, 607, 621, 29226, 827, 922, 13591, 7852, 267, 4929, 519, 10047, 547, 581, 18633, 269, 630, 2304, 1843, 602, 30809, 827, 922, 13074, 610, 20125, 7852, 568, 7123, 267, 10047, 2059, 519, 13591, 7852, 568, 18633, 24355, 291, 528, 18333, 8621, 650, 15072, 8095, 1107, 13772, 607, 16910, 18333, 8621, 650, 6238, 18343, 7444, 543, 11250, 909, 950, 1352, 11081, 1200, 16070, 24880, 269, 901, 9727, 519, 5726, 540, 16070, 11610, 780, 258, 1912, 4953, 21344, 2920, 29896, 692, 2521, 547, 1832, 513, 11573, 538, 3666, 676, 11093, 3688, 540, 1114, 13999, 693, 1114, 6753, 2476, 689, 519, 3505, 322, 5300, 269, 901, 11191, 568, 12286, 538, 519, 24364, 5163, 2978, 538, 11682, 312, 10485, 268, 8099, 271, 780, 258, 1912, 4953, 32322, 543, 2107, 23605, 29896, 692, 8450, 1018, 4523, 547, 1298, 686, 7065, 531, 3196, 543, 8126, 1113, 6991, 10321, 607, 596, 1404, 1472, 609, 519, 13999, 540, 513, 5182, 543, 922, 4541, 780, 258, 11473, 3690, 5296, 692, 15916, 972, 256, 8080, 547, 11000, 476, 279, 281, 24364, 5163, 2439, 305, 582, 1049, 5163, 568, 782, 827, 1919, 602, 267, 1134, 267, 17967, 256, 1924, 2484, 267, 938, 4901, 814, 1044, 5059, 593, 6037, 1049, 5163, 281, 5163, 2059, 513, 2786, 1899, 269, 1809, 6037, 1049, 5163, 666, 1406, 948, 721, 547, 1174, 1919, 899, 17919, 14743, 267, 6367, 1782, 11084, 267, 4137, 1236, 11596, 267, 4412, 25527, 267, 610, 1256, 519, 5163, 540, 6801, 543, 10785, 269, 1284, 991, 1007, 2035, 547, 948, 721, 1174, 24364, 5163, 780, 10376, 540, 519, 1739, 2035, 786, 581, 5941, 538, 713, 3381, 281, 24364, 3432, 267, 8126, 1113, 6991, 267, 24364, 10231, 267, 24364, 24880, 267, 18165, 267, 4099, 540, 2527, 267, 6617, 267, 16070, 11610, 267, 1298, 686, 7065, 531, 3196, 267, 543, 1298, 686, 7065, 531, 10231, 780, 1012, 15585, 1049, 3432, 692, 305, 582, 1049, 3432, 6645, 721, 875, 3533, 630, 528, 7444, 264, 1945, 29226, 827, 606, 7852, 269, 1109, 763, 3090, 585, 24364, 3432, 568, 519, 27608, 5259, 4484, 15060, 267, 799, 5654, 899, 513, 2695, 580, 16744, 530, 269, 1703, 616, 1082, 1114, 4559, 602, 649, 1223, 946, 585, 24364, 3432, 267, 4470, 593, 875, 649, 1616, 547, 2268, 513, 10047, 780, 3080, 1259, 649, 666, 2268, 24364, 3432, 568, 676, 8159, 875, 1082, 32186, 267, 610, 26201, 267, 606, 1843, 2306, 538, 606, 8884, 540, 942, 780, 21156, 267, 649, 666, 946, 5232, 607, 513, 2268, 540, 24364, 5163, 269, 15585, 1049, 3432, 1131, 4061, 2268, 875, 1082, 5232, 606, 1843, 29226, 538, 606, 8884, 540, 942, 269, 1703, 616, 476, 11740, 5232, 538, 835, 2407, 10047, 780, 7661, 267, 649, 666, 946, 32494, 607, 513, 2268, 540, 24364, 5163, 269, 15585, 1049, 3432, 1131, 4061, 2268, 875, 1082, 32494, 606, 1843, 29226, 538, 606, 8884, 540, 942, 269, 1703, 616, 476, 273, 14039, 32494, 538, 835, 2407, 10047, 780, 11997, 267, 4559, 585, 24364, 3432, 666, 1331, 281, 26201, 829, 8792, 267, 5232, 829, 2034, 267, 610, 32494, 829, 2034, 780, 4131, 779, 1491, 513, 1413, 693, 606, 1383, 780, 288, 2520, 739, 566, 776, 9682, 25057, 519, 3047, 693, 513, 3845, 971, 602, 621, 5526, 711, 547, 1847, 609, 2463, 547, 3615, 593, 519, 2666, 269, 1323, 20626, 7555, 2047, 18284, 519, 9682, 1131, 711, 581, 2111, 547, 1294, 1022, 5163, 540, 602, 9682, 780, 2171, 666, 5173, 519, 24364, 3432, 540, 513, 2520, 739, 566, 776, 9682, 267, 6616, 602, 621, 2306, 513, 2347, 10739, 540, 519, 3047, 1169, 476, 2190, 3108, 269, 5221, 476, 2190, 3108, 568, 3160, 547, 476, 272, 267, 24496, 3764, 267, 649, 666, 2161, 602, 513, 2520, 739, 566, 776, 9682, 814, 513, 24364, 3432, 540, 476, 272, 4838, 5258, 676, 476, 272, 267, 24496, 3764, 267, 610, 476, 277, 269, 11463, 2053, 476, 1015, 547, 519, 910, 275, 26201, 829, 8792, 780, 1103, 2474, 540, 5232, 829, 2034, 267, 649, 917, 602, 513, 2520, 739, 566, 776, 9682, 2306, 476, 11740, 5232, 630, 821, 10739, 264, 1169, 476, 10436, 267, 24496, 7643, 269, 634, 24364, 3432, 1131, 4061, 581, 476, 271, 269, 21916, 5232, 829, 2034, 780, 2252, 649, 4941, 547, 946, 32494, 829, 2034, 267, 649, 666, 1491, 476, 273, 14039, 543, 7941, 676, 476, 10436, 267, 24496, 7643, 267, 4947, 909, 609, 513, 24364, 3432, 540, 476, 278, 269, 2767, 2053, 476, 1015, 547, 519, 910, 276, 32494, 829, 2034, 780, 1012, 19358, 1113, 6991, 692, 5970, 596, 2479, 678, 5200, 593, 513, 5789, 787, 30559, 15778, 610, 513, 1286, 537, 1088, 286, 634, 1259, 649, 1995, 3432, 593, 513, 15914, 3760, 814, 547, 798, 609, 711, 1152, 519, 24364, 3432, 540, 519, 11878, 267, 855, 849, 593, 875, 2484, 649, 616, 689, 519, 4099, 540, 10047, 269, 901, 7274, 568, 1572, 8126, 1113, 6991, 269, 2755, 24364, 3432, 568, 3586, 10876, 2059, 513, 15914, 1843, 267, 519, 8126, 1113, 6991, 568, 711, 780, 307, 836, 1113, 6991, 568, 7168, 1454, 1175, 899, 519, 6991, 649, 4076, 5941, 538, 3105, 15872, 269, 634, 3090, 568, 513, 27608, 642, 267, 543, 594, 949, 946, 513, 31941, 540, 570, 547, 1118, 621, 2312, 602, 621, 779, 513, 8126, 1113, 6991, 269, 634, 4559, 602, 649, 946, 616, 544, 4882, 780, 2414, 5173, 8126, 1113, 6991, 267, 649, 991, 547, 3313, 519, 4890, 3845, 602, 606, 1843, 7575, 607, 621, 12599, 2059, 519, 18343, 1843, 829, 1770, 540, 942, 780, 763, 3845, 1472, 513, 5858, 568, 1634, 607, 519, 18592, 269, 898, 568, 3160, 547, 476, 273, 265, 7032, 265, 337, 267, 1141, 678, 568, 519, 8953, 540, 519, 5858, 780, 11997, 267, 519, 9588, 540, 519, 8126, 1113, 6991, 786, 581, 3160, 547, 476, 273, 1535, 14039, 1535, 519, 3845, 621, 568, 689, 519, 4099, 540, 10047, 267, 5258, 676, 875 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 13328, 4204, 267, 2185, 538, 8536, 1004, 896, 519, 2085, 540, 476, 736, 723, 1826, 476, 272, 3987, 269, 898, 568, 519, 1034, 1455, 10894, 2068, 538, 1453, 543, 10708, 269, 8307, 827, 835, 538, 4557, 540, 1346, 4299, 814, 513, 2673, 3448, 609, 519, 2068, 269, 901, 1797, 602, 1826, 476, 272, 3987, 666, 1860, 1022, 1126, 269, 1403, 9571, 2038, 267, 7189, 666, 6895, 543, 1521, 519, 3676, 3927, 269, 1717, 267, 538, 1082, 2665, 267, 519, 2068, 1281, 711, 1831, 1634, 2394, 513, 4049, 547, 1272, 18446, 10894, 3541, 841, 618, 4386, 269, 901, 1419, 5012, 547, 14021, 2564, 2126, 267, 513, 3476, 30674, 267, 513, 25013, 1973, 4006, 1852, 4611, 538, 606, 2799, 1981, 540, 6281, 3676, 267, 543, 1360, 1164, 3790, 585, 519, 3782, 1062, 563, 306, 920, 2287, 607, 3044, 1416, 454, 14071, 1616, 547, 2149, 607, 1082, 1453, 607, 2009, 689, 3978, 10894, 3541, 841, 906, 269, 901, 568, 1152, 2009, 609, 1826, 476, 272, 3987, 32182, 269, 4475, 267, 649, 9244, 1489, 547, 1331, 2038, 1673, 564, 1254, 4255, 538, 3044, 2564, 1416, 5608, 3081, 8834, 3600, 1156, 22138, 267, 835, 540, 519, 1353, 3401, 693, 29581, 3128, 16379, 22540, 563, 2414, 4266, 267, 1152, 1360, 1906, 2090, 723, 5340, 513, 2551, 17253, 9584, 585, 2038, 5933, 540, 1826, 476, 272, 3987, 269, 634, 2605, 272, 6767, 1353, 3366, 676, 29581, 3128, 16379, 22540, 32195, 713, 7934, 281, 4595, 476, 1001, 276, 267, 1453, 9907, 476, 273, 268, 276, 1296, 538, 28554, 7559, 267, 5125, 267, 1223, 723, 741, 1973, 7318, 585, 865, 10777, 568, 2280, 10081, 656, 756, 3672, 269, 634, 12489, 616, 4191, 540, 606, 6553, 543, 9552, 540, 519, 7378, 26148, 12498, 2281, 540, 519, 18558, 269, 901, 1259, 267, 3173, 666, 3713, 606, 2038, 3942, 540, 1826, 476, 272, 3987, 1296, 1354, 7378, 10638, 543, 11506, 1973, 4006, 2157, 2049, 609, 2589, 540, 519, 2068, 269, 769, 5698, 609, 476, 6924, 273, 12963, 2103, 543, 476, 1626, 12963, 3987, 19190, 538, 28554, 7559, 267, 476, 3445, 267, 277, 3953, 1453, 941, 7318, 1369, 519, 1101, 2185, 1296, 540, 519, 2605, 272, 6767, 1353, 282, 476, 18231, 1453, 630, 271, 269, 4029, 2600, 264, 941, 8995, 609, 606, 2038, 3942, 540, 1826, 476, 272, 3987, 563, 22025, 1113, 3790, 585, 519, 3782, 1062, 454, 1103, 519, 1699, 2079, 267, 519, 3173, 7447, 519, 3790, 540, 519, 9584, 269, 10738, 519, 2605, 272, 6767, 1353, 267, 519, 3790, 829, 1126, 729, 1472, 476, 2764, 20789, 338, 269, 1403, 32182, 941, 547, 581, 3769, 538, 3044, 2564, 1416, 267, 519, 3173, 8263, 602, 519, 2179, 1223, 2569, 547, 827, 476, 2420, 20789, 338, 829, 1126, 29971, 563, 763, 1942, 2079, 6227, 519, 27147, 267, 4393, 543, 2079, 540, 519, 1973, 5439, 267, 607, 1134, 607, 519, 2792, 540, 519, 2164, 269, 898, 849, 2882, 9276, 585, 4255, 547, 2708, 519, 12498, 1591, 1599, 543, 1973, 4006, 1377, 267, 607, 1134, 607, 585, 6604, 2866, 543, 13508, 585, 4299, 1453, 543, 741, 3885, 563, 2108, 7212, 938, 9382, 616, 1641, 547, 930, 1377, 540, 10462, 267, 789, 1683, 513, 25162, 585, 519, 4397, 6388, 1942, 540, 9584, 2223, 6941, 7812, 700, 25404, 267, 849, 513, 1353, 6205, 693, 29581, 3128, 16379, 22540, 269, 968, 9202, 267, 649, 2832, 547, 6218, 519, 1279, 3856, 5223, 540, 9584, 3790, 267, 1761, 1942, 9806, 998, 519, 6604, 540, 10894, 3541, 841, 618, 543, 922, 4539, 267, 543, 5732, 2799, 2298, 540, 1272, 609, 513, 1826, 476, 272, 3987, 9584, 3379, 547, 519, 3790, 543, 2298, 540, 1272, 1510, 513, 9584, 1848, 0, 288, 24677, 6361, 28129, 630, 2710, 306, 264, 4323, 568, 513, 1106, 540, 6880, 3430, 871, 538, 799, 513, 17351, 17076, 8942, 547, 1118, 513, 2780, 610, 824, 3926, 28998, 547, 922, 5497, 3755, 676, 27200, 922, 8912, 5106, 563, 288, 24677, 540, 3028, 4323, 568, 835, 538, 799, 513, 2780, 17160, 513, 7746, 609, 27427, 543, 772, 7894, 21168, 269, 589, 667, 2710, 306, 14213, 4386, 950, 1896, 1949, 10131, 1684, 306, 6285, 593, 513, 2582, 1062, 269, 634, 6098, 3060, 568, 1287, 538, 1495, 730, 609, 21168, 689, 513, 3099, 540, 2959, 269, 667, 2710, 306, 568, 519, 1482, 607, 1684, 306, 267, 4352, 711, 782, 1684, 306, 568, 519, 1482, 607, 667, 2710, 306, 563, 288, 9324, 658, 6361, 4149, 16291, 630, 2710, 306, 264, 4323, 568, 835, 602, 8942, 547, 3142, 513, 3684, 610, 3060, 547, 513, 26699, 267, 17021, 621, 11389, 778, 762, 547, 922, 5497, 3755, 269, 1684, 306, 6285, 960, 676, 538, 1495, 908, 519, 3077, 609, 6808, 610, 12419, 621, 1344, 602, 3123, 621, 547, 16154, 563, 24426, 828, 5983, 985, 923, 9457, 5035, 609, 24732, 593, 1565, 0, 2414, 15518, 622, 568, 547, 2285, 2576, 3116, 5539, 543, 6392, 547, 14892, 513, 4305, 267, 855, 596, 11677, 2949, 5539, 585, 519, 7084, 781, 12032, 269, 7102, 13539, 2640, 689, 15518, 566, 540, 6392, 2094, 621, 16877, 5520, 610, 2319, 2818, 563, 19931, 15518, 566, 17990, 942, 267, 2337, 596, 543, 707, 2319, 1332, 607, 4648, 267, 22316, 596, 547, 4383, 3677, 6887, 267, 543, 4665, 919, 5520, 543, 2319, 2818, 547, 798, 1732, 960, 269, 1546, 5586, 566, 568, 513, 2629, 31707, 5578, 547, 1020, 1282, 519, 1576, 540, 707, 4876, 563, 2691, 513, 9614, 3947, 1880, 9021, 547, 741, 5234, 267, 713, 568, 5219, 547, 607, 15518, 566, 269, 2494, 6162, 1863, 909, 942, 547, 1445, 593, 2362, 17032, 4238, 676, 15518, 908, 1978, 9021, 547, 2319, 2818, 267, 1247, 849, 5329, 5520, 12592, 609, 2799, 13190, 563, 5719, 5586, 908, 9021, 6087, 3906, 547, 1445, 593, 519, 1919, 602, 2339, 811, 543, 1205, 811, 856, 540, 741, 5520, 269, 898, 849, 2337, 873, 4383, 519, 24913, 338, 540, 5520, 543, 2333, 7607, 563, 2252, 596, 1616, 707, 2319, 2818, 547, 798, 513, 1434, 2816, 267, 621, 779, 1271, 585, 873, 547, 1745, 899, 789, 723, 519, 13190, 543, 1489, 789, 991, 281, 0, 4263, 7665, 328, 288, 1749, 267, 649, 1419, 1205, 2055, 689, 5561, 945, 616, 11449, 513, 8289, 4217, 633, 1587, 585, 513, 3659, 610, 6068, 835, 269, 2290, 540, 519, 1034, 2442, 2055, 649, 616, 4280, 568, 267, 834, 1432, 568, 519, 3017, 1063, 21901, 543, 1970, 5075, 8119, 634, 2626, 547, 602, 2243, 568, 1271, 547, 938, 5561, 945, 1616, 547, 1118, 2386, 789, 3442, 519, 1318, 1587, 563, 3383, 267, 1577, 781, 5490, 883, 519, 3017, 1063, 3308, 15717, 543, 21901, 563, 1432, 568, 519, 3017, 1063, 3308, 15717, 543, 21901, 888, 1103, 519, 2136, 2276, 267, 972, 616, 2185, 2474, 1031, 547, 4766, 1114, 2157, 540, 5075, 15717, 543, 21901, 912, 268, 3487, 6053, 8289, 539, 454, 268, 8899, 5075, 454, 268, 6181, 958, 9420, 454, 268, 570, 582, 958, 9420, 454, 8512, 6053, 8289, 539, 1797, 513, 1268, 814, 9864, 5075, 267, 2901, 538, 835, 610, 1312, 4064, 563, 20181, 5075, 4016, 547, 513, 4049, 3308, 15717, 538, 799, 3308, 1035, 8462, 568, 476, 736, 270, 3583, 610, 25013, 538, 519, 1732, 5498, 4370, 3750, 543, 3112, 2087, 609, 14296, 610, 17066, 563, 26765, 958, 9420, 1797, 513, 1268, 814, 513, 22621, 5075, 540, 476, 736, 270, 1220, 538, 741, 1655, 5498, 4370, 3750, 269, 1403, 3308, 11226, 971, 607, 14296, 666, 2953, 513, 1268, 779, 5075, 547, 476, 736, 270, 736, 267, 789, 616, 711, 2808, 16155, 9420, 563, 307, 582, 958, 9420, 4016, 547, 513, 2347, 2530, 540, 8289, 269, 32559, 1145, 568, 513, 2783, 538, 799, 513, 1268, 666, 1406, 1294, 4376, 1317, 540, 8628, 15717, 547, 741, 32416, 267, 2436, 621, 581, 3361, 676, 2068, 267, 5945, 267, 610, 4332, 454, 18455, 9420, 610, 11617, 15176, 3884, 1406, 827, 1018, 1004, 666, 610, 3112, 798, 563, 2005, 779, 827, 1565, 519, 1655, 1259, 547, 9585, 8726, 3853, 789, 1305, 856, 547, 3035, 2336, 18455, 11617, 15176, 610, 9420, 3085, 1406, 1611, 835, 666, 1406, 2661, 513, 3339, 1272, 269, 2201, 519, 14669, 256, 8729, 547, 519, 1360, 1082, 5863, 267, 13561, 2645, 543, 11226, 2966, 585, 4830, 4948, 2713, 267, 11617, 15176, 543, 9420, 11570, 979, 547, 960, 267, 979, 547, 519, 9413, 267, 2263, 1007, 2694, 540, 4884, 267, 960, 856, 693, 14934, 916, 4534, 3388, 543, 4376, 513, 8289, 539, 1268, 1281, 2336, 30054, 18612, 5426, 5489, 10725, 1475, 4858, 4068, 476, 1708, 273, 25038, 2060, 454, 1708, 273, 623, 12714, 25038, 454, 30106, 22736, 570, 1901, 12763, 454, 31340, 580, 573, 595, 2033, 2060, 454, 290, 549, 758, 7435, 548, 910, 476, 4343, 6279, 0, 2005, 779, 513, 19433, 281, 519, 3237, 543, 19393, 945, 2196, 5196, 519, 2361, 540, 1404, 547, 1349, 513, 6107, 6345, 1310, 513, 24743, 3562, 268, 3559, 5471, 3346, 5945, 616, 519, 1482, 3283, 945, 695, 2607, 1055, 4832, 3002, 1282, 11176, 3786, 607, 513, 678, 924, 540, 8574, 269, 2311, 1034, 267, 789, 1522, 19184, 606, 3063, 11480, 540, 1216, 693, 513, 6345, 563, 10673, 1406, 1293, 593, 602, 547, 2063, 269, 589, 3395, 4656, 540, 519, 12178, 540, 3002, 560, 6593, 543, 513, 7222, 1620, 602, 621, 666, 581, 14603, 568, 2921, 3597, 269, 1656, 607, 11176, 6887, 630, 553, 1134, 607, 17869, 2695, 6758, 543, 6512, 2818, 264, 2212, 585, 741, 2866, 13122, 630, 514, 799, 789, 6108, 1713, 942, 593, 9205, 4610, 1070, 621, 779, 1945, 602, 568, 2469, 547, 581, 1107, 952, 711, 1283, 540, 2247, 1107, 693, 2547, 2673, 547, 519, 4395, 269, 1656, 5411, 540, 1346, 2621, 267, 607, 1134, 607, 824, 9205, 5026, 899, 2571, 4252, 543, 13836, 267, 991, 547, 581, 4712, 563, 763, 15544, 585, 8376, 6513, 630, 24922, 264, 32245, 513, 1592, 540, 2589, 1107, 543, 6700, 3527, 547, 581, 3144, 1107, 538, 519, 2680, 540, 3002, 5829, 10108, 543, 2712, 2471, 4896, 609, 9205, 2238, 547, 24559, 2933, 609, 873, 563, 6097, 547, 519, 7502, 1512, 6019, 630, 293, 3271, 5866, 264, 5240, 6261, 816, 267, 519, 2817, 4741, 585, 9697, 770, 13116, 11846, 28864, 814, 1382, 10834, 602, 689, 476, 1960, 276, 547, 476, 1001, 276, 267, 476, 8618, 11176, 5716, 5747, 689, 3002, 8482, 630, 5379, 1164, 1153, 267, 476, 1556, 2852, 267, 1079, 3318, 267, 543, 1079, 6896, 6107, 1040, 715, 27197, 2600, 540, 6592, 3002, 8482, 7972, 7018, 1282, 2259, 563, 8601, 713, 267, 8387, 538, 519, 24106, 1533, 616, 8165, 606, 15081, 650, 6370, 609, 1153, 16984, 547, 4831, 519, 1966, 563, 763, 8419, 4400, 3427, 26465, 545, 5948, 7150, 621, 1131, 1152, 23626, 2596, 1272, 22766, 3937, 538, 2013, 540, 3002, 8482, 952, 5143, 547, 798, 865, 676, 1876, 16234, 269, 8419, 7354, 269, 22186, 22220, 10426, 573, 27622, 540, 10878, 1255, 1767, 1352, 814, 13175, 2324, 593, 9086, 547, 23626, 1569, 547, 4672, 8685, 338, 585, 6345, 21599, 538, 2665, 540, 3002, 8482, 1310, 519, 1533, 8116, 20366, 711, 547, 2154, 519, 3044, 3937, 610, 2027, 5687, 18852, 267, 1634, 607, 6632, 15941, 8608, 5687, 18852, 630, 310, 294, 6630, 338, 264, 602, 2268, 3002, 2566, 563, 14881, 6557, 2469, 547, 1694, 1524, 936, 519, 4832, 543, 1294, 952, 594, 666, 960, 609, 519, 7681, 865, 602, 649, 666, 4739, 513, 3915, 602, 1568, 585, 3025, 543, 6104, 8460, 938, 3804, 540, 1818, 2386, 1053, 5749, 1406, 2469, 547, 5884, 689, 3002, 8482, 2223, 10426, 573, 27622, 1767, 538, 513, 4873, 476, 1321, 3377, 2376, 269, 968, 2005, 779, 1271, 602, 649, 960, 1927, 3034, 8967, 584, 2590, 519, 9086, 593, 568, 519, 3965, 540, 513, 1164, 1153, 11176, 6345, 945, 729, 3144, 1055, 1272, 1489, 2063, 4832, 1739, 1010, 3002, 14001, 12900, 693, 513, 2259, 269, 2098, 778, 776, 2717, 11420, 6199, 779, 4295, 2837, 10805, 476, 13040, 5232, 585, 811, 982, 606, 5662, 267, 593, 513, 1554, 609, 513, 24817, 1164, 540, 476, 10844, 563, 2304, 2376, 538, 1280, 15816, 7074, 2676, 23178, 12448, 6182, 684, 7322, 540, 519, 2160, 540, 11908, 630, 308, 16598, 264, 568, 606, 3486, 4274, 593, 4365, 543, 3002, 5829, 2152, 269, 769, 476, 1001, 273, 267, 646, 543, 9164, 3370, 513, 6594, 15663, 602, 3002, 5829, 11176, 7972, 2468, 9482, 1063, 476, 1960, 275, 543, 476, 1220, 280, 267, 543, 519, 1533, 540, 11908, 3366, 519, 1259, 269, 4256, 1353, 2919, 513, 3084, 6538, 609, 1344, 593, 11195, 267, 2837, 267, 942, 540, 1554, 543, 10305, 630, 19417, 267, 2597, 267, 2990, 264 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 509, 354, 19867, 378, 28578, 23989, 20069, 31365, 8147, 20881, 480, 17958, 26233, 356, 31006, 417, 354, 377, 454, 258, 22614, 362, 501, 25622, 26233, 507, 420, 371, 363, 16088, 421, 479, 491, 31308, 484, 28578, 23989, 19867, 478, 20069, 30317, 27381, 510, 8147, 418, 509, 354, 19867, 378, 4970, 492, 25203, 362, 21550, 485, 29219, 25203, 372, 419, 511, 487, 7511, 30317, 27381, 510, 8147, 21251, 28884, 418, 365, 480, 28578, 23989, 30317, 27381, 510, 20069, 31365, 8147, 21251, 28884, 418, 365, 480, 28578, 23989, 30317, 27381, 510, 18713, 374, 27936, 12255, 29004, 362, 32352, 417, 508, 489, 8147, 28997, 501, 25622, 11590, 489, 10524, 370, 14035, 491, 23521, 480, 18021, 355, 27818, 302, 3799, 264, 24724, 454, 3698, 9696, 2514, 10857, 267, 544, 321, 2187, 825, 544, 815, 544, 321, 454, 825, 1948, 476, 18777, 364, 25051, 499, 30006, 498, 20001, 481, 418, 361, 350, 12255, 454, 825, 735, 19571, 815, 476, 271, 454, 825, 1948, 476, 18777, 364, 25051, 499, 13213, 498, 18713, 508, 14756, 497, 31563, 421, 505, 484, 454, 825, 1267, 815, 9598, 4590, 825, 1948, 476, 20001, 373, 419, 499, 490, 10254, 353, 13161, 511, 8147, 21251, 30006, 498, 20001, 481, 25203, 368, 26406, 354, 27447, 24731, 14756, 497, 31563, 454, 825, 952, 7003, 10857, 264, 2652, 476, 271, 912, 1038, 1267, 9131, 4818, 19571, 11172, 815, 476, 271, 454, 1038, 1267, 9131, 5417, 816, 11172, 815, 910, 272, 454, 1038, 2132, 1267, 454, 825, 585, 1775, 538, 2039, 12759, 10857, 15892, 1038, 952, 544, 2652, 561, 5157, 14158, 2018, 735, 19571, 6834, 476, 272, 454, 2018, 1267, 9131, 4818, 19571, 11172, 815, 735, 19571, 454, 2018, 1267, 9131, 5417, 816, 11172, 815, 1775, 454, 2018, 2132, 1267, 454, 1038, 3116, 912, 2018, 735, 19571, 6834, 476, 272, 454, 2018, 1267, 9131, 4818, 19571, 11172, 815, 735, 19571, 454, 2018, 1775, 6834, 476, 272, 454, 825, 1948, 22614, 505, 362, 21550, 485, 29219, 10951, 359, 19867, 378, 28996, 8147, 13213, 498, 18713, 508, 421, 498, 503, 13644, 363, 419, 510, 479, 454, 825, 1267, 9131, 5417, 816, 11172, 815, 910, 272, 454, 825, 2132, 1267, 7531, 258, 13127, 371, 362, 29219, 418, 509, 354, 19867, 378, 25622, 7987, 494, 11590, 490, 26166, 418, 509, 354, 19867, 378, 7511, 418, 498, 373, 13213, 505, 417, 508, 489, 8147, 20881, 480, 17958, 30678, 418, 509, 354, 19867, 378, 23989, 29219, 26166, 27747, 481, 417, 507, 485, 25060, 478, 267, 418, 509, 354, 19867, 378, 421, 505, 484, 12571, 486, 30006, 498, 20001, 481, 27962, 7987, 495, 454, 258, 22614, 362, 501, 25622, 29830, 373, 30536, 16088, 21251, 31801, 367, 27936, 8147, 29830, 373, 418, 362, 488, 418, 481, 483, 19540, 369, 31284, 30006, 498, 11590, 490, 26166, 418, 509, 354, 19867, 378, 10533, 486, 27064, 485, 421, 360, 502, 454, 258, 22614, 362, 501, 25622, 26233, 507, 420, 371, 363, 16088, 21550, 373, 29004, 362, 25203, 362, 21550, 485, 29219, 21928, 418, 509, 354, 19867, 378, 420, 490, 481, 18713, 368, 7511, 26166, 27747, 481, 25060, 374, 25426, 368, 9463, 500, 30006, 498, 20001, 481, 29219, 8147, 20881, 494, 27882, 354, 419, 376, 358, 16533, 493, 418, 509, 354, 19867, 378, 420, 490, 481, 18713, 368, 8147, 23284, 10951, 509, 16583, 493, 16533, 495, 418, 509, 354, 13644, 351, 30006, 498, 20001, 481, 418, 361, 350, 12255, 454, 3698, 7696, 14142, 10857, 267, 544, 321, 2187, 825, 544, 815, 544, 321, 454, 825, 1948, 17276, 509, 354, 13644, 351, 28578, 23989, 12916, 492, 29219, 27381, 351, 19764, 499, 454, 825, 1524, 815, 476, 271, 454, 825, 1948, 17276, 509, 354, 13644, 351, 28578, 23989, 421, 360, 502, 29219, 27381, 351, 19764, 499, 454, 825, 909, 815, 7003, 10857, 264, 910, 476, 272, 454, 825, 1948, 476, 13213, 498, 18713, 508, 14756, 497, 31563, 421, 505, 484, 454, 825, 1267, 815, 9598, 4590, 825, 1948, 476, 20001, 373, 419, 499, 490, 10254, 353, 13161, 511, 8147, 21251, 30006, 498, 20001, 481, 25203, 368, 26406, 354, 27447, 24731, 14756, 497, 31563, 454, 825, 952, 7003, 10857, 264, 2652, 476, 271, 912, 1038, 1267, 9131, 5417, 816, 11172, 815, 910, 272, 454, 1038, 1267, 9131, 4818, 19571, 11172, 815, 476, 271, 454, 1038, 2132, 1267, 454, 825, 1948, 17276, 509, 354, 13644, 351, 28578, 23989, 30006, 498, 20001, 481, 29219, 27381, 351, 19764, 499, 314, 27381, 351, 19764, 499, 30536, 20881, 487, 418, 489, 358, 28032, 507, 29004, 362, 15159, 418, 509, 354, 19867, 378, 29219, 21928, 418, 509, 354, 19867, 378, 25060, 374, 25426, 368, 7511, 26166, 27747, 481, 418, 481, 483, 19540, 369, 2639, 825, 952, 561, 314, 1575, 316, 910, 561, 314, 6658, 316, 3436, 476, 271, 912, 1038, 4571, 815, 1524, 1341, 2979, 269, 28776, 9230, 332, 910, 561, 314, 6658, 8079, 1315, 630, 331, 314, 1575, 316, 910, 561, 314, 6658, 8079, 2608, 630, 1575, 910, 1524, 4917, 825, 3116, 912, 1038, 4571, 815, 2979, 269, 576, 559, 9230, 6658, 1341, 909, 264, 1315, 476, 273, 994, 825, 1948, 476, 18777, 364, 25051, 499, 418, 509, 354, 13644, 351, 30006, 498, 20001, 481, 418, 361, 350, 12255, 454, 825, 735, 19571, 815, 476, 271, 454, 825, 952, 544, 2999, 561, 314, 6658, 316, 610, 544, 3436, 561, 314, 1575, 14158, 1038, 1267, 9131, 4818, 19571, 11172, 815, 476, 271, 454, 825, 1948, 476, 20001, 373, 419, 499, 490, 10254, 353, 13161, 511, 8147, 417, 28187, 31563, 418, 509, 354, 19867, 378, 29219, 420, 370, 483, 24731, 418, 509, 354, 19867, 378, 420, 490, 481, 18713, 368, 8147, 21251, 30006, 498, 20001, 481, 8147, 25203, 368, 26406, 354, 420, 371, 367, 24731, 23523, 359, 27064, 363, 454, 825, 1247, 1524, 10922, 909, 912, 1038, 1948, 22614, 505, 362, 21550, 485, 29219, 19867, 378, 28996, 8147, 418, 509, 354, 19867, 378, 23946, 370, 27447, 24731, 21588, 361, 22047, 420, 351, 360, 27936, 12916, 491, 7511, 25203, 362, 21550, 485, 29219, 454, 1038, 952, 544, 2652, 561, 314, 13232, 14158, 2018, 735, 19571, 6834, 476, 272, 454, 2018, 1267, 9131, 4818, 19571, 11172, 815, 735, 19571, 454, 2018, 1267, 9131, 5417, 816, 11172, 815, 4571, 454, 2018, 2132, 1267, 454, 1038, 1948, 22614, 505, 362, 21550, 485, 29219, 30006, 498, 25051, 497, 31176, 491, 30006, 498, 20001, 481, 29219, 16533, 493, 8147, 16533, 484, 421, 360, 502, 29219, 27381, 351, 19764, 499, 31176, 491, 26175, 375, 420, 485, 367, 25051, 497, 31176, 491, 30006, 498, 20001, 481, 29219, 454, 1038, 8640, 544, 2999, 561, 314, 13232, 14158, 2018, 735, 19571, 6834, 476, 272, 454, 2018, 909, 815, 4571, 910, 476, 272, 454, 2018, 1948, 476, 14756, 497, 31563, 29219, 12571, 495, 31284, 9463, 500, 10533, 368, 454, 2018, 952, 561, 314, 1575, 316, 910, 561, 314, 6658, 316, 3436, 476, 271, 912, 3546, 4571, 815, 1524, 1341, 2979, 269, 28776, 9230, 332, 910, 561, 314, 6658, 8079, 1315, 630, 331, 314, 1575, 316, 910, 561, 314, 6658, 8079, 2608, 630, 1575, 910, 1524, 4917, 2018, 3116, 912, 3546, 4571, 815, 2979, 269, 576, 559, 9230, 6658, 1341, 909, 264, 1315, 476, 273, 994, 2018, 1267, 9131, 4818, 19571, 11172, 815, 735, 19571, 454, 1038, 1948, 22614, 505, 362, 21550, 485, 29219, 30006, 498, 25051, 497, 31176, 491, 30006, 498, 20001, 481, 29219, 27962, 8147, 16533, 484, 12916, 492, 29219, 27381, 351, 19764, 499, 12571, 492, 26175, 375, 420, 485, 367, 25051, 497, 31176, 491, 30006, 498, 20001, 481, 29219, 454, 1038, 3116, 912, 2018, 735, 19571, 6834, 476, 272, 454, 2018, 1524, 815, 4571, 1341, 476, 272, 454, 2018, 952, 561, 314, 1575, 316, 910, 561, 314, 6658, 316, 3436, 476, 271, 912, 3546, 4571, 815, 1524, 1341, 2979, 269, 28776, 9230, 332, 910, 561, 314, 6658, 8079, 1315, 630, 331, 314, 1575, 316, 910, 561, 314, 6658, 8079, 2608, 630, 1575, 910, 1524, 4917, 2018, 3116, 912, 3546, 4571, 815, 2979, 269, 576, 559, 9230, 6658, 1341, 909, 264, 1315, 476, 273, 994, 2018, 1267, 9131, 4818, 19571, 11172, 815, 735, 19571, 454, 825, 1948, 22614, 505, 362, 21550, 485, 29219, 10951, 359, 19867, 378, 28996, 8147, 13213, 498, 18713, 508, 421, 498, 503, 13644, 363, 419, 510, 479, 454, 825, 1267, 9131, 5417, 816, 11172, 815, 910, 272, 454, 825, 2132, 1267, 7531, 258, 13127, 484, 496, 21796, 350, 26406, 496, 31365, 454, 258, 22614, 362, 501, 25622, 29830, 373, 30536, 16088, 31801, 367, 27936, 28997, 501, 25622, 454, 258, 22614, 362, 501, 25622, 26233, 507, 420, 371, 363, 16088, 30006, 493, 421, 479, 491, 31308, 484, 13601, 421, 479, 491, 8147, 421, 25693, 25263, 504, 418, 488, 488, 29219, 31006, 27962, 7511, 20881, 487, 418, 489, 358, 24731, 23521, 354, 8147, 23946, 370, 16533, 484, 28578, 23989, 18809, 30317, 27381, 510, 10533, 368, 419, 494, 484, 7511, 31271, 478, 421, 481, 357, 20069, 31365, 454, 3698, 18616, 677, 10857, 2187, 825, 4994, 815, 7003, 10857, 994, 825, 1775, 815, 476, 271, 454, 825, 1948, 13127, 353, 500, 31271, 480, 23523, 359, 27064, 363, 268, 26406, 356, 10254, 370, 25203, 362, 31176, 491, 26406, 496, 31365, 29219, 7511, 12916, 491, 419, 377, 362, 454, 825, 1247, 1775, 2999, 4994, 912, 1038, 795, 815, 1775, 1341, 476, 272, 454, 1038, 1948, 13127, 484, 483, 31271, 480, 23523, 359, 27064, 363, 268, 26406, 356, 10254, 370, 30006, 498, 20001, 481, 29219, 7511, 12916, 491, 419, 377, 362, 454, 1038, 1247, 795, 2999, 4994, 912, 2018, 952, 561, 5157, 316, 13843, 561, 14728, 14158, 3546, 10917, 815, 561, 14728, 2639, 3546, 561, 14728, 316, 815, 561, 5157, 2639, 3546, 561, 5157, 316, 815, 10917, 454, 2018, 795, 815, 795, 1341, 476, 272, 454, 1038, 1775, 815, 1775, 1341, 476, 272, 454, 825, 2132, 561, 7531, 258, 13127, 379, 360, 20881, 509, 26406, 496, 31365, 28997, 501, 25622, 454, 258, 22614, 362, 501, 25622, 29830, 373, 30536, 16088, 31801, 367, 27936, 28997, 501, 25622, 8147, 19540, 496, 21796, 350, 26406, 496, 31365, 28997, 501, 25622, 7511, 418, 498, 373, 13213, 505, 454, 258, 22614, 362, 501, 25622, 26233, 507, 420, 371, 363, 16088, 20881, 487, 418, 489, 358, 22047, 30006, 498, 20001, 481, 29219, 8147, 16533, 484, 23523, 483, 26406, 496, 31365, 28578, 23989, 10533, 368, 419, 494, 484, 29873, 16533, 493, 29219, 421, 505, 484, 12571, 486, 25520, 27962, 29219, 421, 505, 484, 12571, 486, 8147, 419, 482, 370, 12571, 492, 21928, 16533, 493, 29219, 421, 505, 484, 12571, 486, 25520, 27962, 29219, 421, 505, 484, 12571, 486, 19404, 491, 14035, 491, 10254, 496, 26166, 25913, 25622, 8147, 25203, 368, 28996, 30006, 493, 14748, 10254, 496, 26166, 10524, 483, 11858, 502, 22047, 30317, 27381, 510, 8147, 26406, 496, 31365, 14756, 497, 23521, 509, 454, 258, 13127, 379, 360, 20881, 509, 26406, 496, 31365, 15159, 27064, 364, 11858, 502, 26266, 366, 419, 509, 354, 10533, 486, 27064, 485, 31006, 417, 354, 377, 8147, 18021, 498, 17958, 18809, 24731, 27064, 364, 31006, 14035, 504, 7511, 26406, 496, 31365, 28997, 501, 25622, 454, 3698, 844, 6506, 677, 5560, 1144, 267, 579, 704, 267, 561, 2187, 825, 1948, 476, 9463, 502, 19404, 493, 328, 26406, 356, 10254, 370, 10254, 496, 26166, 420, 485, 359, 25060, 374, 25426, 368, 7511, 421, 479, 491, 31308, 484, 418, 497, 491, 30853, 454, 825, 1775, 815, 1524, 1341, 476, 272, 454, 825, 1948, 28859, 479, 491, 31308, 484, 332, 18777, 364, 25051, 499, 25060, 374, 25426, 368, 19540, 483, 16533, 493, 30678, 10254, 496, 26166, 29219, 7511, 12916, 491, 419, 377, 362, 454, 825, 544, 815, 1524, 454, 825, 1948, 13127, 376, 480, 27747, 372, 10254, 353, 13161, 511, 8147, 23523, 483, 26406, 496, 31365, 25060, 374, 25426, 368, 421, 360, 502, 12916, 492, 17295, 364, 417, 507, 478, 24731, 421, 498, 503, 454, 825, 952, 1524, 13843, 579, 704, 912, 1038, 2132, 561, 454, 825, 1948, 476, 10254, 507, 417, 356, 489, 25060, 500, 418, 497, 491, 30853, 8147, 21928, 4289, 18809, 421, 504, 493, 10951, 374, 20881, 487, 418, 489, 358, 22047, 10254, 496, 26166, 29219, 454, 825, 23396, 5560, 1144, 267, 4351, 27110, 5560, 1144, 267, 579, 704, 1070, 561, 994, 825, 1948, 28859, 350, 374, 31365, 421, 479, 491, 31308, 484, 23523, 483, 26406, 496, 31365, 28578, 23989, 8147, 418, 509, 354, 19867, 378, 30006, 498, 10254, 496, 26166, 29219, 16533, 493, 7511, 30317, 27381, 510, 12916, 491, 419, 377, 362, 8147, 23946, 370, 11590, 353, 29004, 351, 454, 825, 1247, 1775, 10922, 579, 704, 912, 1038, 952, 561, 5157 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 6108, 267, 543, 646, 729, 29802, 538, 519, 3296, 540, 519, 5411, 540, 519, 23339, 269, 594, 16818, 620, 268, 3412, 611, 620, 6953, 534, 4472, 328, 630, 323, 269, 476, 10482, 280, 589, 295, 264, 3081, 910, 538, 1412, 20112, 715, 10212, 1115, 262, 910, 1936, 908, 713, 4498, 21105, 1650, 267, 609, 922, 6891, 540, 17604, 602, 30813, 666, 7173, 841, 952, 972, 568, 2576, 945, 10607, 519, 9997, 3609, 538, 2053, 540, 11605, 543, 26182, 873, 547, 4194, 741, 16839, 912, 257, 314, 2704, 6953, 541, 21105, 316, 10371, 568, 538, 7890, 1510, 12129, 267, 865, 950, 646, 2968, 32467, 609, 519, 1033, 664, 4315, 538, 519, 6640, 11755, 267, 543, 646, 1500, 1121, 27320, 540, 873, 883, 513, 803, 2131, 1145, 267, 543, 646, 26017, 3025, 945, 1185, 13881, 1945, 689, 1010, 1920, 547, 1612, 3315, 2763, 1864, 32372, 6740, 621, 1070, 865, 950, 621, 729, 29869, 646, 26017, 873, 547, 8831, 4189, 1426, 32372, 7305, 1070, 865, 3025, 17696, 538, 7890, 543, 9053, 513, 2603, 267, 865, 646, 26017, 873, 547, 695, 841, 621, 267, 543, 646, 7281, 539, 585, 873, 693, 29869, 543, 10288, 873, 547, 3207, 543, 1964, 267, 1287, 646, 7281, 539, 585, 873, 543, 1500, 1121, 27320, 540, 873, 547, 25448, 267, 1287, 646, 7281, 539, 585, 873, 538, 25448, 543, 4843, 1018, 646, 13984, 282, 543, 646, 7283, 899, 713, 269, 2201, 519, 3791, 1554, 267, 646, 26017, 873, 547, 1413, 883, 519, 1533, 540, 1346, 945, 941, 29802, 267, 543, 3025, 945, 729, 29802, 585, 1447, 982, 513, 4627, 1590, 2628, 1864, 835, 540, 873, 543, 14183, 1010, 30347, 543, 1205, 1864, 856, 267, 543, 26697, 3357, 856, 2073, 5808, 3357, 856, 543, 3459, 5275, 20778, 689, 519, 2451, 267, 543, 18423, 3670, 3275, 538, 7890, 267, 543, 589, 20602, 7699, 1864, 543, 3576, 1864, 856, 269, 27029, 5278, 15438, 267, 2379, 806, 267, 543, 1004, 540, 1434, 15884, 723, 1439, 15735, 1439, 578, 906, 543, 17052, 585, 7836, 593, 14586, 267, 971, 607, 519, 13653, 540, 519, 570, 592, 684, 573, 1533, 538, 5527, 267, 30277, 594, 16818, 570, 592, 684, 630, 323, 269, 476, 17734, 589, 295, 1070, 945, 1031, 547, 968, 24708, 476, 4335, 14586, 1169, 3923, 5608, 607, 594, 16818, 10609, 12245, 684, 5018, 538, 1010, 1686, 269, 1879, 519, 13862, 19036, 540, 2696, 1325, 5025, 6277, 14515, 630, 323, 269, 476, 277, 2537, 589, 295, 264, 519, 17599, 540, 519, 1608, 13023, 622, 538, 20045, 24863, 611, 538, 519, 1032, 476, 25118, 589, 295, 267, 968, 1492, 9794, 5795, 4557, 8536, 7188, 1513, 547, 2628, 1055, 519, 22440, 540, 519, 4057, 538, 7890, 31865, 607, 519, 14787, 594, 16818, 570, 580, 686, 645, 31651, 630, 323, 269, 476, 9262, 275, 589, 295, 264, 6645, 721, 538, 519, 1412, 4910, 1830, 540, 9877, 1145, 23823, 296, 16818, 22105, 327, 787, 645, 31651, 849, 5018, 910, 538, 1412, 2704, 5336, 534, 15595, 1325, 4149, 2378, 328, 262, 910, 602, 519, 631, 600, 1663, 330, 29001, 7805, 540, 623, 745, 14150, 630, 323, 269, 476, 3199, 272, 589, 295, 264, 834, 13195, 2141, 1793, 4381, 1229, 538, 519, 2395, 540, 1010, 521, 23546, 622, 593, 1142, 1554, 540, 519, 3923, 540, 30782, 8938, 19317, 16933, 267, 11273, 543, 2016, 17493, 609, 6986, 3043, 3694, 593, 3267, 29277, 619, 267, 3025, 814, 513, 11013, 540, 5779, 32372, 476, 14596, 10101, 264, 11273, 543, 1614, 3138, 2314, 269, 834, 16449, 891, 24960, 1235, 568, 519, 2212, 24490, 540, 519, 631, 600, 1663, 330, 7952, 538, 22176, 653, 334, 19869, 31608, 10822, 631, 1662, 330, 712, 1325, 6953, 531, 29422, 630, 323, 269, 476, 278, 4281, 589, 295, 1040, 594, 16818, 670, 1690, 541, 1325, 268, 2026, 336, 531, 8643, 630, 323, 269, 476, 5952, 273, 589, 295, 264, 910, 538, 1325, 5937, 584, 541, 1325, 11860, 29546, 1695, 910, 1767, 602, 646, 968, 6365, 909, 1496, 332, 2292, 316, 593, 1346, 29802, 689, 519, 1744, 7559, 32372, 14586, 540, 2027, 5168, 3738, 1358, 941, 1354, 538, 519, 4658, 540, 17235, 29277, 269, 27029, 4913, 267, 1325, 5336, 26698, 10961, 328, 630, 323, 269, 476, 279, 3393, 589, 295, 264, 6257, 910, 538, 1412, 2181, 2286, 543, 7156, 262, 910, 513, 6429, 1114, 689, 713, 4313, 532, 540, 519, 632, 680, 22789, 2175, 540, 14586, 543, 29405, 532, 741, 15683, 282, 646, 3081, 281, 834, 2026, 585, 519, 1412, 19789, 529, 30813, 3299, 519, 3765, 325, 28232, 540, 741, 1004, 568, 711, 4330, 267, 543, 741, 4971, 2968, 4583, 602, 789, 979, 856, 609, 519, 8069, 538, 519, 4401, 1256, 1358, 24917, 32372, 581, 21794, 264, 1247, 789, 941, 3458, 5446, 538, 519, 10754, 281, 14000, 256, 1548, 596, 2285, 17493, 547, 873, 1281, 711, 1205, 873, 4849, 585, 1018, 4422, 883, 741, 7181, 338, 267, 543, 782, 519, 17493, 602, 1004, 2743, 585, 873, 568, 3144, 676, 519, 20758, 523, 543, 519, 17294, 779, 8069, 267, 543, 1346, 945, 1705, 711, 14183, 873, 27105, 538, 1010, 10751, 267, 543, 789, 616, 18562, 1031, 538, 533, 1054, 3421, 543, 538, 1496, 19465, 316, 29844, 543, 865, 593, 689, 2182, 960, 267, 543, 8069, 20882, 873, 269, 1403, 741, 960, 568, 936, 267, 789, 786, 2132, 594, 723, 547, 581, 29802, 538, 741, 4401, 1510, 8023, 4376, 269, 27029, 7468, 2581, 619, 538, 930, 2127, 941, 2838, 547, 2628, 513, 3232, 610, 10865, 28370, 1256, 952, 789, 5833, 621, 676, 581, 21794, 267, 799, 568, 1572, 519, 1412, 1440, 2581, 3375, 262, 610, 1412, 1440, 2581, 10018, 3299, 799, 568, 602, 513, 1268, 3743, 585, 1010, 13429, 540, 7890, 7245, 13668, 513, 1804, 2040, 547, 581, 6976, 547, 519, 6392, 267, 3177, 602, 646, 28099, 655, 621, 5595, 676, 9204, 13684, 593, 1864, 29277, 619, 1590, 1205, 873, 10792, 569, 8206, 256, 594, 16818, 22105, 327, 787, 645, 31651, 3081, 910, 538, 1412, 763, 24761, 25578, 262, 910, 602, 29001, 1325, 9539, 553, 597, 17124, 16481, 333, 1627, 531, 1177, 684, 630, 323, 269, 476, 278, 6078, 589, 295, 264, 834, 13195, 14275, 1881, 3267, 602, 729, 711, 11311, 538, 30813, 267, 543, 621, 568, 1496, 7474, 316, 585, 3025, 945, 729, 29802, 910, 1256, 585, 835, 4090, 910, 513, 4627, 546, 597, 327, 4461, 824, 982, 1018, 646, 535, 1441, 269, 1656, 3267, 1352, 814, 513, 6841, 528, 602, 568, 2838, 540, 782, 30813, 269, 834, 901, 568, 5103, 519, 1249, 602, 519, 29632, 1235, 1767, 602, 834, 1492, 13848, 540, 519, 7890, 9856, 32372, 519, 20758, 523, 264, 3267, 910, 607, 519, 13848, 540, 519, 9794, 781, 513, 1938, 910, 2097, 689, 519, 1753, 540, 2724, 2580, 607, 4956, 676, 620, 6953, 3430, 629, 620, 5336, 531, 5942, 630, 323, 269, 476, 4817, 275, 589, 295, 264, 538, 519, 13669, 757, 540, 22191, 324, 563, 347, 6624, 5712, 540, 9099, 1686, 14754, 519, 1104, 540, 22266, 25711, 2553, 538, 30813, 540, 1114, 12977, 630, 25791, 2923, 4609, 10245, 763, 13340, 540, 29813, 4900, 454, 763, 7092, 540, 519, 14586, 1705, 711, 3247, 950, 789, 941, 28653, 676, 8023, 543, 7836, 267, 855, 2864, 25412, 22717, 593, 873, 1247, 789, 941, 29802, 543, 2324, 538, 2182, 4074, 269, 2201, 1283, 540, 602, 267, 789, 941, 967, 27075, 547, 873, 950, 741, 2338, 941, 19017, 269, 30277, 10822, 1325, 5336, 644, 629, 337, 267, 519, 5856, 630, 307, 476, 17734, 589, 295, 1070, 1936, 730, 602, 646, 729, 16207, 538, 513, 7890, 30277, 594, 16818, 570, 592, 684, 538, 5527, 267, 543, 646, 729, 513, 1360, 7522, 7890, 834, 514, 799, 646, 2813, 543, 1866, 609, 835, 1776, 267, 543, 646, 729, 19526, 909, 609, 721, 607, 513, 16170, 537, 514, 543, 646, 1705, 711, 1265, 513, 1747, 547, 1694, 538, 267, 865, 646, 1767, 281, 744, 1004, 256, 594, 729, 12922, 540, 3388, 4849, 602, 594, 2760, 21787, 602, 594, 723, 1100, 1747, 538, 519, 2666, 538, 30693, 594, 1694, 538, 621, 1656, 972, 568, 1100, 1981, 547, 602, 267, 865, 3343, 9675, 538, 2696, 689, 938, 2783, 563, 763, 2409, 540, 12475, 1005, 14586, 9867, 1063, 25588, 267, 627, 6235, 267, 8840, 4522, 267, 17873, 267, 16304, 267, 543, 1866, 269, 634, 2663, 6502, 6785, 1007, 543, 23773, 2010, 540, 25711, 540, 14586, 267, 971, 607, 562, 9430, 267, 607, 519, 1268, 547, 581, 12475, 3293, 729, 5116, 593, 513, 4604, 540, 3574, 5423, 538, 519, 1106, 540, 513, 3444, 267, 543, 621, 729, 1572, 26878, 11047, 540, 519, 1412, 18524, 3299, 538, 799, 519, 17873, 540, 519, 1268, 941, 554, 2459, 1229, 609, 18969, 543, 1419, 8694, 519, 1272, 540, 519, 562, 9229, 547, 2669, 8206, 2336, 296, 16818, 2494, 345, 584, 5018, 910, 538, 519, 834, 299, 16388, 1325, 5025, 4599, 257, 910, 930, 25711, 6191, 538, 7890, 267, 543, 646, 5018, 1851, 873, 513, 1907, 1572, 834, 2704, 5336, 26698, 339, 4673, 281, 1325, 6363, 8403, 32142, 2437, 799, 568, 513, 3529, 538, 799, 972, 616, 23563, 267, 1169, 18670, 2687, 547, 519, 2450, 540, 519, 1850, 4390, 267, 538, 799, 519, 7953, 540, 519, 1033, 664, 4315, 616, 9411, 269, 1496, 7617, 316, 568, 6508, 689, 1412, 320, 5721, 6682, 1564, 262, 1317, 789, 616, 16290, 538, 835, 5721, 267, 804, 22981, 1927, 267, 741, 7953, 538, 18137, 7745, 909, 2687, 547, 519, 2450, 540, 741, 2344, 563, 10303, 540, 891, 3765, 30514, 2175, 267, 519, 14586, 941, 693, 1082, 2053, 18388, 532, 609, 741, 1928, 543, 15148, 1154, 1996, 741, 3765, 30514, 2729, 267, 1287, 1919, 2919, 547, 5706, 519, 21569, 518, 543, 2119, 547, 9101, 538, 3406, 540, 5191, 269, 10705, 267, 891, 8942, 941, 28336, 269, 594, 16818, 1325, 11219, 1177, 17844, 22281, 338, 910, 538, 519, 1412, 10585, 262, 910, 602, 538, 519, 1032, 476, 27420, 589, 295, 267, 834, 1492, 1004, 540, 519, 1007, 7890, 1496, 514, 20045, 24863, 611, 316, 678, 3999, 539, 543, 6172, 5523, 909, 519, 20545, 267, 887, 1372, 621, 3267, 519, 7128, 8227, 543, 10692, 873, 4799, 7468, 2581, 619, 941, 849, 2921, 5413, 540, 3354, 2736, 23957, 3330, 519, 4872, 547, 25176, 543, 25176, 267, 607, 649, 4718, 538, 519, 4838, 540, 5130, 476, 1839, 267, 476, 1001, 272, 538, 5527, 543, 11992, 269, 1879, 595, 23879, 11303, 519, 1032, 476, 8064, 272, 589, 295, 540, 519, 2379, 806, 15852, 519, 631, 600, 1663, 330, 29001, 7805, 20034, 267, 543, 3025, 729, 1978, 602, 646, 729, 17204, 269, 13924, 1345, 10371, 1261, 20374, 543, 519, 1004, 7283, 513, 4254, 267, 543, 519, 14586, 2759, 741, 9993, 609, 513, 1412, 30036, 21204, 540, 1744, 600, 599, 601, 262, 543, 13264, 519, 7450, 540, 30693, 543, 4682, 856, 10371, 1421, 543, 1100, 835, 4941, 873, 547, 2490, 3025, 1394, 593, 741, 1378, 267, 543, 865, 1705, 519, 1004, 945, 6854, 519, 546, 841, 600, 543, 519, 1004, 540, 1325, 7304, 1695, 9346, 7890, 563, 1103, 519, 8090, 540, 922, 10845, 543, 4838, 267, 519, 13999, 941, 2111, 547, 14710, 519, 2199, 8128, 267, 2736, 519, 9885, 540, 30813, 267, 543, 5305, 519, 14586, 267, 607, 519, 1004, 540, 20045, 24863, 611, 1705, 538, 519, 1032, 476, 29616, 589, 295, 950, 789, 15148, 1540, 1996, 519, 2806, 21353, 573, 14012, 8621, 573, 10822, 2806, 21353, 620, 11860, 1817, 553, 8643, 630, 323, 269, 476, 25313, 589, 295, 264, 834, 20357, 540, 519, 1164, 5777, 10371, 1421, 543, 519, 29001, 10692, 873, 693, 519, 7450, 540, 519, 1899, 269, 10371, 1310, 519, 1857, 8118, 30813, 269, 27029, 4407, 1004, 540, 1585, 5049, 3136, 547, 7985, 689, 519, 7890, 1208, 559, 2747, 267, 922, 26032, 267, 543, 922, 1279, 2395, 543, 17334, 267, 519, 8090, 540, 5305, 941, 741, 5207, 17050, 269, 634, 4128, 585, 519, 5305, 540, 14586, 9867, 2687, 547, 2797, 267, 2804, 543, 3909, 6381, 267, 930, 540, 7247, 941, 5950, 538, 8956, 540, 519, 2212, 540, 519, 16958, 543, 922, 9972, 8387, 267, 2523, 593, 519, 8317, 540, 741, 15038, 269, 1325, 5937, 327, 1695, 29422, 3081, 910, 538, 1412, 14532, 540, 5771, 262, 910, 602, 519, 772, 16673, 344, 611, 1608, 13023, 590, 2544, 27332, 10822, 19869, 620, 5336, 531, 1731, 630, 323, 269, 476, 4200, 589, 295, 264, 8118, 1010, 1608, 13023, 622, 609, 834, 325, 710, 543, 20177, 5386, 267, 1317, 646, 8120, 20494, 341, 1734, 547, 922, 1004, 10371, 1421, 543, 3576, 856, 519, 14586, 945, 941, 538, 5178 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 543, 723, 1296, 540, 1995, 538, 3246, 519, 1416, 543, 1604, 585, 1004, 547, 9156, 269, 1403, 596, 610, 2576, 596, 917, 568, 4712, 547, 1491, 519, 1101, 1900, 547, 5191, 267, 649, 616, 1175, 513, 6049, 1289, 2476, 563, 1692, 7043, 6496, 8943, 710, 13773, 769, 2659, 3590, 888, 1692, 1677, 5489, 2135, 3245, 631, 15097, 454, 11749, 1756, 543, 15850, 0, 1692, 798, 596, 4766, 7099, 538, 606, 1148, 888, 300, 797, 281, 1103, 1148, 7071, 267, 519, 2489, 5790, 267, 610, 1533, 540, 2247, 543, 4606, 267, 602, 513, 960, 540, 1148, 12958, 269, 1280, 1383, 267, 519, 7099, 540, 513, 7206, 1223, 581, 23892, 610, 22471, 559, 267, 4158, 610, 17615, 563, 1432, 568, 1148, 4214, 1557, 888, 9209, 666, 581, 4555, 267, 12716, 13144, 267, 7574, 15885, 267, 610, 25287, 2762, 269, 3203, 666, 581, 2938, 267, 4862, 267, 543, 5924, 5433, 269, 3203, 568, 6405, 543, 7493, 267, 693, 519, 1482, 942, 269, 3203, 568, 4082, 543, 7553, 563, 1692, 798, 596, 4766, 606, 1148, 2511, 888, 276, 9669, 585, 2677, 21564, 606, 30310, 13910, 454, 268, 14674, 519, 2511, 607, 952, 596, 941, 6158, 547, 2576, 945, 7948, 1406, 1294, 621, 563, 268, 14674, 519, 7099, 540, 519, 11247, 607, 1134, 607, 519, 3308, 4162, 563, 268, 11408, 2446, 519, 4778, 267, 855, 1118, 2386, 596, 946, 1913, 602, 4766, 519, 4778, 543, 741, 1198, 563, 268, 10925, 3054, 538, 519, 14820, 540, 519, 3328, 1268, 563, 268, 3203, 3884, 1406, 12809, 563, 1692, 798, 596, 4766, 1434, 1148, 888, 8196, 1913, 971, 607, 561, 755, 9317, 267, 14692, 344, 267, 32689, 267, 17953, 344, 267, 543, 15459, 950, 10503, 4778, 269, 634, 3328, 1268, 786, 1294, 707, 11247, 538, 513, 1114, 1769, 952, 596, 4766, 621, 1210, 1913, 602, 1921, 707, 11247, 547, 519, 9329, 543, 4743, 540, 4948, 3615, 563, 1432, 616, 519, 2596, 2609, 540, 6575, 888, 292, 6123, 540, 1148, 616, 30031, 2934, 602, 616, 3769, 1369, 606, 1148, 4062, 547, 948, 519, 7376, 5968, 269, 634, 5722, 1034, 1455, 2609, 1331, 1899, 267, 3337, 267, 9403, 267, 1106, 267, 2230, 267, 7990, 543, 1871, 267, 609, 519, 23937, 540, 1665, 1818, 267, 543, 1570, 640, 563, 1692, 1281, 1148, 948, 1053, 538, 1153, 888, 9209, 3292, 723, 519, 1761, 547, 948, 2087, 513, 2875, 779, 3965, 543, 5834, 1983, 267, 1020, 3375, 6194, 543, 2565, 3206, 1983, 267, 3986, 2792, 543, 6947, 1983, 267, 855, 849, 5000, 1445, 543, 9015, 269, 1323, 6575, 2069, 666, 849, 948, 513, 2875, 547, 2087, 1582, 12635, 543, 1514, 1983, 563, 1432, 616, 519, 476, 277, 1292, 2609, 540, 1148, 888, 292, 4041, 300, 19006, 5508, 26353, 281, 634, 3308, 3334, 540, 2681, 267, 1106, 267, 1899, 267, 3337, 267, 2230, 267, 9403, 267, 543, 1871, 563, 3963, 798, 649, 991, 1148, 538, 3506, 888, 9209, 6044, 2337, 1453, 609, 519, 1646, 540, 5179, 1983, 267, 1893, 1983, 267, 1514, 1983, 267, 3375, 6194, 267, 1981, 23824, 267, 543, 6427, 4369, 269, 10439, 6575, 4001, 6267, 827, 2681, 267, 11768, 267, 5133, 267, 543, 3666, 281, 782, 2553, 602, 616, 2556, 538, 14245, 630, 6665, 783, 267, 3059, 264, 540, 4081, 960, 563, 3963, 2575, 543, 1148, 568, 1271, 547, 2069, 888, 2005, 2337, 1053, 3251, 538, 1153, 267, 4679, 8404, 267, 10607, 8456, 543, 20343, 267, 543, 10607, 4081, 2773, 269, 4340, 547, 4892, 585, 519, 8551, 267, 513, 2875, 3238, 538, 519, 6575, 568, 281, 476, 275, 343, 811, 2693, 547, 581, 6444, 585, 4081, 9740, 269, 476, 275, 343, 811, 2693, 547, 7119, 538, 513, 2979, 610, 2257, 4023, 269, 0, 2691, 3075, 1673, 2607, 5872, 568, 19408, 547, 519, 3461, 543, 1058, 581, 14284, 454, 3528, 7905, 667, 345, 592, 330, 604, 2993, 19869, 592, 681, 1794, 752, 454, 8310, 10432, 267, 513, 8501, 268, 869, 1359, 6216, 3957, 26100, 984, 599, 729, 17049, 18487, 1739, 513, 2147, 1847, 5001, 630, 301, 4306, 267, 4119, 476, 1015, 1040, 634, 3375, 547, 3247, 1210, 519, 6646, 585, 519, 2126, 540, 5409, 28309, 573, 8598, 8507, 689, 519, 23930, 689, 519, 2475, 5253, 543, 10684, 10029, 630, 293, 6395, 264, 602, 476, 4029, 7972, 941, 5532, 547, 519, 946, 540, 519, 3075, 538, 519, 2475, 267, 896, 513, 1114, 2012, 267, 7345, 3712, 269, 898, 4016, 547, 519, 1482, 3742, 12146, 267, 524, 518, 643, 770, 11294, 563, 763, 2754, 7345, 518, 9307, 519, 17319, 15639, 540, 782, 13121, 1137, 540, 519, 3075, 1813, 547, 2810, 5359, 540, 2427, 2360, 5473, 16757, 8467, 630, 337, 4725, 3256, 344, 565, 1736, 1040, 681, 4725, 3256, 344, 565, 1736, 568, 513, 2783, 602, 2164, 538, 4887, 1591, 15059, 543, 5305, 540, 519, 9115, 540, 4887, 2281, 883, 519, 18072, 563, 11847, 9285, 569, 2589, 540, 678, 4725, 3256, 344, 565, 1736, 1331, 4887, 1928, 267, 8467, 267, 31926, 267, 4731, 320, 1047, 267, 8611, 267, 4158, 10729, 267, 15353, 267, 543, 13481, 563, 763, 1928, 949, 4125, 1808, 2516, 540, 6091, 540, 949, 581, 2489, 2213, 2429, 519, 1560, 269, 4107, 4749, 267, 519, 3238, 4887, 2516, 616, 519, 1608, 1407, 543, 2539, 1394, 269, 1717, 267, 930, 2550, 1867, 1100, 2589, 540, 4887, 5945, 269, 769, 4686, 2665, 519, 5945, 568, 865, 4049, 602, 2550, 1020, 17669, 5821, 543, 824, 1418, 5821, 267, 799, 666, 581, 14603, 563, 293, 7614, 678, 4725, 3256, 344, 565, 1736, 2404, 609, 519, 3075, 946, 723, 1044, 4080, 1034, 4749, 950, 1031, 693, 2362, 13066, 630, 520, 519, 476, 271, 269, 279, 16936, 9570, 1070, 610, 950, 1031, 538, 11361, 2550, 563, 5415, 865, 267, 950, 1031, 538, 4999, 609, 1776, 20188, 16715, 3742, 12146, 267, 17576, 325, 756, 549, 7588, 630, 25912, 2012, 267, 700, 641, 573, 1040, 769, 1249, 267, 476, 1321, 540, 519, 476, 4029, 15111, 2669, 5359, 3238, 598, 1260, 26938, 17576, 325, 756, 549, 7588, 946, 563, 30535, 2921, 519, 3075, 543, 7680, 4887, 1928, 610, 616, 849, 2921, 17576, 325, 756, 549, 7588, 1058, 19944, 826, 2921, 621, 5612, 543, 5077, 741, 10629, 269, 1703, 616, 2947, 824, 2493, 1231, 2139, 543, 949, 581, 2808, 607, 8925, 547, 26100, 984, 599, 20324, 599, 3712, 267, 12077, 281, 561, 990, 770, 11294, 630, 25912, 2012, 267, 2725, 341, 659, 528, 1070, 9299, 341, 770, 11294, 630, 303, 9545, 778, 565, 1070, 1138, 341, 770, 11294, 630, 313, 665, 528, 1070, 2770, 341, 770, 11294, 630, 299, 525, 3712, 1070, 543, 693, 528, 341, 770, 11294, 630, 299, 760, 3218, 1916, 763, 17049, 3075, 267, 524, 518, 643, 770, 11294, 267, 12851, 547, 513, 1895, 4122, 5219, 547, 607, 834, 560, 520, 1231, 2668, 6465, 1231, 2539, 8501, 2157, 676, 17527, 513, 1808, 11747, 538, 519, 1560, 602, 568, 3238, 538, 519, 19523, 660, 4185, 540, 8501, 269, 2755, 782, 2493, 1231, 723, 1044, 2404, 609, 1360, 4686, 5359, 540, 678, 4725, 3256, 344, 565, 1736, 267, 2665, 540, 14603, 678, 4725, 3256, 344, 565, 1736, 538, 7681, 609, 519, 946, 540, 26100, 984, 599, 20324, 599, 3712, 723, 1044, 4080, 3648, 811, 4749, 982, 585, 824, 9516, 2493, 1231, 267, 2523, 5473, 17576, 325, 756, 549, 7588, 563, 6097, 547, 7345, 518, 5103, 922, 28007, 5116, 593, 1587, 1095, 21564, 1344, 6656, 1996, 1071, 25535, 5524, 609, 17576, 325, 756, 549, 7588, 267, 543, 1615, 340, 766, 540, 5022, 547, 3782, 4648, 9963, 1996, 21276, 946, 540, 891, 1079, 5061, 267, 621, 4797, 547, 4309, 5359, 540, 678, 4725, 3256, 344, 565, 1736, 950, 17576, 325, 756, 549, 7588, 568, 11311, 607, 513, 1071, 2173, 539, 1709, 563, 2252, 713, 14336, 566, 568, 3020, 621, 568, 1034, 23892, 547, 4063, 602, 972, 616, 1346, 711, 7255, 693, 782, 827, 3106, 540, 741, 2550, 538, 1071, 25535, 21564, 971, 14984, 11955, 563, 1607, 4611, 7613, 3622, 1634, 607, 834, 323, 2607, 1673, 2607, 4205, 257, 568, 606, 7938, 1551, 5896, 543, 2057, 762, 1981, 602, 2115, 3318, 3007, 269, 901, 568, 2523, 950, 811, 982, 835, 5061, 616, 1031, 693, 1022, 835, 942, 267, 8197, 513, 1360, 1455, 2259, 538, 519, 14570, 1014, 3782, 6429, 563, 27775, 2105, 3896, 281, 5291, 2517, 4178, 8807, 6767, 10993, 11305, 1457, 7933, 2607, 270, 8882, 641, 720, 11486, 599, 3712, 11486, 599, 3712, 268, 32142, 21867, 269 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1788, 786, 581, 519, 1641, 540, 513, 4947, 1557, 269, 1280, 938, 5301, 2221, 267, 649, 3580, 723, 547, 1847, 593, 547, 519, 476, 274, 6113, 2540, 267, 693, 799, 1448, 5664, 15107, 517, 1143, 1185, 5912, 539, 547, 3026, 6955, 26293, 1143, 267, 543, 621, 779, 538, 713, 5736, 649, 1265, 519, 960, 540, 519, 31188, 1014, 267, 3026, 6955, 26293, 626, 14544, 267, 543, 5783, 12429, 2107, 3394, 540, 28641, 563, 7775, 3394, 729, 28020, 533, 1190, 543, 30140, 30508, 267, 543, 1010, 3310, 593, 519, 1646, 540, 8567, 3112, 581, 936, 26061, 269, 1306, 513, 2427, 4063, 267, 519, 1603, 540, 713, 12558, 11385, 730, 1063, 5712, 540, 1382, 543, 5712, 540, 5888, 267, 607, 568, 1419, 519, 2013, 585, 803, 267, 543, 950, 594, 3893, 547, 519, 1568, 540, 2107, 3394, 267, 594, 1336, 2576, 945, 729, 267, 689, 1010, 5133, 607, 606, 2038, 4168, 267, 2047, 16460, 1082, 540, 519, 3169, 2055, 594, 1185, 15054, 4505, 538, 519, 1603, 1184, 267, 1419, 26159, 519, 1360, 1482, 18627, 689, 519, 27403, 602, 594, 1185, 269, 594, 5433, 3592, 607, 1498, 594, 941, 2348, 513, 6643, 609, 1864, 267, 543, 1010, 4267, 267, 607, 594, 6557, 2386, 596, 3580, 1265, 267, 616, 4241, 269, 1261, 729, 1100, 24928, 547, 519, 7965, 540, 8144, 281, 1851, 1010, 1034, 12021, 1568, 729, 519, 1261, 343, 320, 680, 320, 267, 513, 2262, 16519, 30087, 6476, 1063, 519, 3312, 12355, 6426, 267, 513, 6037, 28375, 540, 713, 1257, 883, 519, 5259, 267, 519, 20029, 340, 698, 842, 267, 543, 1614, 824, 5259, 16627, 563, 296, 5097, 5249, 689, 2107, 3394, 779, 1433, 2201, 14362, 267, 519, 1101, 9836, 4168, 18381, 269, 19759, 569, 267, 519, 3312, 5259, 1257, 540, 602, 960, 568, 3592, 7357, 4503, 282, 1018, 649, 723, 2221, 568, 513, 5824, 8144, 676, 519, 476, 275, 628, 2540, 4936, 31188, 1014, 570, 10455, 2335, 3780, 681, 18860, 19434, 267, 513, 8144, 799, 568, 711, 528, 13124, 21107, 267, 607, 681, 18860, 19434, 6322, 547, 1118, 2107, 3394, 811, 5493, 23534, 547, 1346, 540, 1010, 1554, 269, 3733, 5299, 568, 606, 2296, 8144, 689, 519, 5824, 267, 543, 2882, 519, 5824, 1257, 267, 607, 1134, 607, 1018, 15998, 540, 519, 5259, 616, 1869, 2139, 269, 1809, 1256, 952, 519, 6810, 3823, 519, 9997, 616, 811, 681, 18860, 19434, 982, 2107, 3394, 267, 789, 1869, 2285, 721, 513, 1434, 4605, 540, 519, 1523, 540, 519, 9997, 607, 922, 1620, 7960, 1851, 519, 10271, 540, 25196, 269, 1656, 607, 519, 5824, 1913, 1918, 320, 543, 6891, 639, 4786, 2864, 28426, 5196, 519, 9757, 5259, 1913, 20369, 3832, 543, 533, 928, 6373, 267, 519, 1840, 540, 513, 8772, 1893, 547, 938, 2090, 22508, 2299, 8591, 2370, 3606, 6988, 563, 7775, 3394, 729, 5693, 5432, 609, 17127, 267, 607, 646, 11225, 519, 9997, 607, 602, 799, 7727, 2713, 1919, 609, 519, 31399, 625, 540, 8226, 543, 3350, 267, 607, 17127, 1705, 538, 1546, 1323, 9874, 267, 2324, 689, 519, 3355, 1095, 6269, 3789, 602, 519, 9997, 568, 602, 799, 2306, 2713, 1919, 1114, 689, 1875, 2000, 1516, 1919, 269, 2107, 3394, 849, 19528, 2274, 10903, 16307, 476, 1704, 281, 1691, 281, 968, 2690, 519, 1272, 540, 1169, 13442, 2443, 922, 1973, 568, 922, 1272, 282, 4061, 594, 723, 1767, 547, 519, 1004, 540, 5840, 281, 1411, 4927, 711, 3548, 519, 1973, 540, 1022, 13442, 267, 585, 519, 1272, 540, 1169, 13442, 568, 922, 1973, 282, 945, 1197, 22655, 621, 4927, 581, 2759, 1055, 1848, 5020, 568, 21235, 689, 519, 12355, 683, 325, 21983, 2443, 585, 799, 267, 596, 3580, 11291, 267, 968, 5158, 892, 568, 4440, 519, 1034, 19038, 2296, 8144, 2443, 883, 519, 5259, 20369, 3832, 538, 519, 20029, 340, 698, 842, 267, 543, 1287, 681, 18860, 19434, 14906, 619, 2107, 3394, 779, 946, 540, 20369, 3832, 607, 1918, 320, 269, 2107, 3394, 849, 19528, 19606, 476, 273, 281, 278, 267, 519, 1101, 14235, 594, 20926, 538, 713, 12558, 267, 855, 8049, 569, 267, 602, 14088, 2968, 513, 20369, 3832, 2864, 982, 2348, 1044, 28093, 4240, 609, 513, 20369, 3832, 3085, 1406, 3100, 547, 11578, 547, 2107, 3394, 607, 1373, 1713, 563, 7775, 3394, 1336, 519, 1482, 15739, 32735, 538, 6754, 602, 594, 1705, 267, 543, 8100, 519, 1482, 14235, 267, 476, 272, 29833, 2103, 476, 273, 281, 1691, 269, 1261, 22617, 956, 609, 621, 513, 3787, 543, 1287, 4667, 547, 7017, 883, 519, 6754, 710, 543, 840, 4149, 7095, 1620, 267, 855, 1287, 29156, 1394, 547, 8373, 713, 1620, 609, 476, 272, 8834, 476, 272, 281, 280, 281, 968, 2507, 1721, 596, 616, 8391, 519, 6364, 540, 707, 5132, 267, 519, 20778, 540, 707, 20339, 1496, 10043, 3832, 316, 1848, 968, 2252, 519, 9997, 9444, 533, 7590, 6862, 521, 902, 609, 519, 13336, 2223, 2107, 3394, 11339, 267, 26159, 476, 272, 29833, 2103, 476, 1691, 281, 1691, 267, 968, 6011, 4927, 621, 4126, 585, 20778, 9495, 630, 1001, 278, 267, 533, 269, 476, 25375, 1040, 901, 15739, 32735, 3085, 1406, 10460, 1022, 8373, 585, 721, 1317, 649, 917, 602, 519, 12591, 540, 6754, 543, 519, 29660, 788, 15572, 545, 12591, 11911, 547, 8834, 941, 2854, 676, 1114, 1004, 945, 1522, 723, 1185, 1114, 24300, 540, 519, 9997, 267, 855, 585, 2107, 3394, 267, 1312, 540, 891, 18627, 941, 851, 540, 1102, 718, 1043, 27403, 543, 2877, 547, 581, 11028, 4290, 539, 609, 1142, 824, 563, 7775, 3394, 6104, 8460, 713, 21047, 538, 519, 1739, 1259, 281, 1101, 267, 2696, 568, 3595, 269, 3955, 31147, 513, 21318, 540, 18627, 267, 2107, 3394, 17358, 519, 6219, 540, 2696, 547, 581, 3595, 269, 5822, 267, 15623, 476, 2190, 281, 1321, 3081, 602, 968, 2507, 20357, 540, 519, 2333, 540, 1876, 16531, 267, 519, 2648, 540, 1082, 786, 1332, 4411, 892, 630, 301, 11965, 309, 1040, 2107, 3394, 8100, 824, 18627, 2443, 930, 540, 799, 3100, 547, 723, 1044, 6537, 689, 2959, 602, 616, 1631, 7164, 547, 721, 2443, 547, 5815, 602, 267, 538, 13076, 609, 2696, 779, 1373, 3595, 267, 4411, 1145, 6920, 3845, 689, 2696, 269, 634, 8061, 559, 267, 646, 4967, 267, 568, 1572, 513, 1583, 25871, 267, 799, 568, 4411, 15918, 797, 539, 269, 1261, 1287, 7140, 547, 18573, 779, 5188, 595, 7806, 2643, 639, 547, 2303, 602, 519, 1360, 2262, 20369, 3832, 6920, 513, 968, 322, 944, 532, 1524, 689, 513, 811, 10143, 610, 1732, 2783, 892, 630, 7775, 3394, 267, 476, 1001, 278, 267, 533, 269, 476, 23211, 282, 543, 18573, 267, 595, 7806, 2643, 639, 267, 476, 274, 4200, 1040, 594, 6999, 594, 1185, 811, 4055, 547, 2911, 827, 519, 595, 7806, 2643, 639, 1317, 621, 779, 513, 2731, 4241, 5188, 585, 1346, 5461, 538, 519, 6138, 540, 1893, 267, 855, 538, 2489, 267, 621, 27180, 2436, 519, 20803, 540, 1919, 568, 17062, 610, 952, 621, 568, 11461, 676, 930, 4909, 3741, 267, 971, 607, 2107, 3394, 5267, 563, 1432, 713, 782, 2501, 1524, 547, 568, 602, 267, 547, 2107, 3394, 267, 9997, 543, 6891, 616, 1079, 1114, 1913, 585, 519, 1482, 3364, 607, 621, 6818, 538, 1079, 1114, 2829, 267, 1175, 607, 4672, 543, 1216, 616, 1079, 1114, 1913, 585, 519, 1482, 6219, 538, 1114, 3029, 269, 31522, 799, 568, 5265, 3636, 539, 676, 519, 3595, 540, 2696, 568, 5265, 1572, 6891, 267, 543, 6891, 799, 814, 267, 585, 8726, 2601, 267, 4503, 930, 540, 2696, 779, 14246, 543, 22799, 547, 513, 14758, 1533, 568, 5265, 1572, 9997, 267, 543, 9997, 568, 10710, 676, 519, 11419, 540, 4906, 2441, 676, 1373, 9927, 883, 6891, 563, 3086, 267, 2107, 3394, 779, 1620, 540, 519, 9997, 568, 2731, 2484, 811, 1950, 982, 594, 4076, 1044, 2111, 547, 5815, 538, 519, 942, 2139, 547, 803, 1934, 267, 543, 594, 666, 1406, 2161, 602, 594, 6557, 4628, 31235, 609, 621, 538, 1022, 2013, 281, 899, 594, 1767, 267, 2107, 3394, 729, 606, 30140, 30508, 5856, 267, 543, 594, 4076, 1152, 1044, 2111, 547, 1224, 2201, 14362, 543, 930, 824, 6281, 1570, 538, 519, 942, 2139, 547, 803, 547, 1382, 585, 713, 1557, 269, 3571, 2093, 1522, 3280, 513, 3787, 535, 4545, 3814, 950, 594, 7873, 1619, 873, 883, 971, 513, 533, 603, 344, 3898, 267, 855, 519, 6708, 543, 9488, 1145, 540, 1010, 1382, 568, 2731, 3833, 7415, 267, 2523, 2016, 519, 942, 1974, 538, 799, 646, 5206, 267, 543, 594, 1265, 1010, 2093, 547, 723, 513, 1978, 19621, 5898, 269, 1809, 585, 938, 5301, 1934, 267, 519, 1448, 3884, 1406, 547, 1831, 4628, 31235, 609, 2107, 3394, 779, 1880, 1620, 540, 519, 9997, 2443, 602, 11562, 1218, 606, 1557, 538, 3294, 2443, 865, 1454, 607, 547, 1205, 513, 1413, 693, 519, 1184, 676, 799, 519, 1523, 540, 519, 9997, 28953, 689, 519, 3504, 16380, 547, 519, 18774, 523, 2065, 7642, 543, 2038, 10271, 998, 519, 5420, 540, 519, 5259, 1893, 267, 609, 519, 13922, 540, 16565, 513, 1732, 1620, 540, 519, 1523, 540, 519, 9997, 607, 649, 7237, 621, 538, 938, 4207, 1158, 563, 17582, 24764, 610, 4676, 22235, 454, 294, 12646, 267, 667, 269, 654, 269, 630, 10955, 12175, 630, 1001, 271, 1040, 634, 5931, 540, 2038, 5259, 6138, 281, 634, 2347, 15998, 543, 5697, 16499, 23888, 540, 519, 2101, 1095, 4531, 18267, 269, 11062, 2160, 4964, 563, 294, 7949, 267, 631, 269, 630, 1001, 273, 1040, 634, 1686, 540, 3504, 5840, 269, 1284, 16582, 26709, 543, 12832, 565, 5459, 563, 299, 648, 333, 345, 267, 670, 269, 630, 1220, 280, 1040, 9147, 28636, 540, 31522, 269, 769, 661, 269, 715, 269, 2098, 531, 3279, 630, 10955, 13776, 634, 18628, 15610, 540, 13898, 630, 11764, 1067, 476, 1220, 280, 1040, 5450, 7469, 12695, 3194, 6997, 267, 18628, 2160, 269, 4179, 2517, 680, 6737, 14714, 534, 5112, 12975, 270, 1105, 1161, 4882, 636, 1220, 280, 270, 550, 1845, 270, 534, 2615, 1606, 9567, 13045, 7775, 3394, 269, 630, 1001, 278, 1040, 2107, 3394, 281, 2201, 1101, 3741, 630, 297, 269, 2142, 15590, 267, 3798, 5919, 3689, 7160, 1040, 10228, 2160, 4964, 563, 5522, 6737, 267, 23101, 267, 808, 269, 631, 1421, 1299, 670, 8553, 8657, 267, 667, 269, 590, 269, 630, 1960, 278, 1040, 13159, 1568, 269, 27725, 9116, 6583, 563, 307, 1987, 267, 808, 269, 667, 269, 630, 1001, 274, 267, 4728, 476, 2420, 1040, 1548, 519, 6426, 590, 904, 6168, 12280, 267, 2991, 5158, 543, 519, 8892, 269, 634, 6014, 4936, 2622, 540, 4906, 269, 4179, 2517, 335, 1137, 26509, 764, 12975, 10768, 1868, 2389, 1987, 270, 534, 2615, 268, 9080, 15308, 270, 1372, 987, 8584, 1123, 5158, 1922, 1956, 13045, 19669, 3650, 267, 589, 269, 715, 1421, 26186, 514, 267, 667, 269, 681, 1421, 1299, 15593, 10767, 928, 267, 667, 269, 654, 269, 630, 3192, 279, 1040, 6713, 543, 4641, 281, 1323, 1557, 538, 14421, 1108, 630, 28557, 539, 1196, 1040, 5131, 4964, 269, 0, 22879, 532, 513, 25161, 6197, 568, 1898, 547, 3895, 10009, 543, 2569, 3723, 11926, 269, 19452, 267, 1739, 513, 7059, 543, 1970, 1606, 5306, 2732, 666, 849, 948, 721, 2087, 519, 2783, 563, 5415, 1455, 538, 4587, 1004, 267, 9176, 2021, 543, 25161, 5520, 267, 6553, 540, 519, 2539, 17119, 885, 666, 581, 1928, 1652, 610, 3142, 1585, 8374, 269, 1284, 3277, 5631, 547, 519, 865, 10777, 11926, 540, 519, 3952, 563, 763, 1966, 4386, 950, 5714, 13976, 909, 25983, 958, 538, 519, 26300, 527, 658, 2230, 630, 4385, 607, 30046, 1040, 769, 713, 2376, 649, 786, 2995, 596, 875, 547, 2569, 3723, 11926, 563, 3963, 1281, 3723, 11926, 2049, 888, 12024, 519, 7953, 543, 17094, 956, 267, 11926, 543, 11926, 540, 519, 3952, 666, 581, 3361, 676, 912, 268, 634, 14968, 454, 268, 11109, 513, 1973, 8052, 454, 268, 1323, 3968, 454, 268, 26890, 514, 2042, 630, 16269, 3112, 6802, 1973, 5265, 994, 268, 20767, 23358, 6197, 454, 268, 1323, 5106, 454, 268, 7043, 15143, 676, 7077, 630, 528, 1022, 1797, 540, 3560, 994, 268, 634, 18492, 4783, 454, 268, 1488, 614, 658, 13119, 454, 268, 9839, 5821, 454, 268, 11412, 531, 1202, 340, 11797, 454, 268, 20506, 5821, 454, 268, 14171, 6527, 267, 971, 607, 31520, 610, 4332, 1852, 454, 268, 14272, 18875, 543, 26852, 454, 763, 7271, 540, 5250, 568, 606, 19261, 540, 519, 3339, 5385, 540, 12862, 1063, 519, 703, 2350, 777, 16736, 543, 26300, 527, 658, 2230, 538, 519, 2539, 17873, 269, 901, 5385, 568, 519, 1267, 540, 1079, 12503, 602, 957, 538, 6587, 8846, 281 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 763, 667, 1075, 520, 729, 1101, 20511, 539, 538, 15212, 811, 982, 476, 6110, 1296, 3516, 269, 4653, 779, 476, 272, 546, 1075, 520, 11113, 2671, 602, 6561, 267, 1498, 1034, 941, 20511, 539, 538, 2487, 5756, 269, 769, 1840, 547, 5356, 9758, 3140, 1719, 267, 519, 11113, 616, 513, 1360, 20522, 1259, 547, 4444, 968, 325, 3555, 531, 892, 21092, 4154, 563, 10376, 667, 1075, 520, 3568, 1547, 8099, 278, 512, 5797, 12063, 338, 540, 4154, 1543, 563, 9213, 779, 22341, 476, 272, 667, 1075, 520, 11113, 4183, 519, 11861, 540, 14890, 30686, 9478, 594, 267, 945, 556, 11220, 13980, 540, 6239, 543, 8109, 2342, 689, 476, 7277, 279, 1107, 476, 4489, 277, 269, 634, 9258, 568, 16826, 539, 609, 519, 22341, 3213, 520, 540, 1488, 916, 1657, 519, 5595, 32567, 11440, 23914, 563, 6624, 15212, 476, 272, 667, 1075, 520, 11777, 4163, 513, 476, 4489, 276, 4266, 1107, 519, 1032, 1354, 30686, 9478, 594, 779, 2669, 267, 543, 519, 3803, 1032, 519, 11777, 729, 9783, 585, 4123, 269, 476, 4489, 276, 7108, 667, 1075, 1846, 616, 1964, 686, 7719, 269, 27819, 476, 272, 2929, 540, 519, 11113, 941, 9783, 689, 476, 4572, 271, 1107, 476, 4350, 277, 269, 476, 272, 667, 1075, 1846, 616, 3812, 607, 4013, 1964, 686, 7719, 676, 519, 22341, 631, 842, 547, 713, 1554, 563, 291, 8553, 476, 272, 667, 1075, 520, 11113, 616, 849, 5219, 547, 607, 10656, 12928, 2074, 269, 1358, 4183, 513, 27585, 538, 24915, 609, 513, 18156, 538, 835, 1688, 543, 21985, 538, 519, 824, 26142, 454, 13828, 11113, 4163, 930, 1390, 1686, 543, 972, 616, 1906, 2081, 547, 4444, 1507, 4154, 11113, 585, 1447, 2336, 1262, 763, 4890, 11113, 6272, 543, 7389, 25855, 786, 4268, 1759, 593, 11891, 8244, 1262, 0, 30475, 281, 30003, 3778, 4828, 5999, 307, 550, 894, 19080, 15048, 1280, 2806, 10407, 293, 867, 7690, 16844, 590, 910, 19837, 10488, 14187, 25966, 5345, 559, 4828, 763, 3974, 31158, 1578, 618, 14886, 13625, 2201, 2806, 25344, 1692, 1677, 3503, 589, 6355, 4643, 1280, 589, 3399, 1575, 7577, 296, 12036, 2782, 3194, 7433, 454, 16485, 873, 547, 979, 2476, 543, 4647, 519, 813, 593, 513, 1920, 1775, 22087, 610, 1256, 593, 835, 540, 741, 1378, 3457, 630, 6518, 789, 4440, 1378, 2336, 1765, 30524, 1175, 1900, 538, 543, 1118, 519, 3943, 9597, 330, 1465, 513, 2370, 20501, 286, 6787, 596, 991, 547, 3533, 2285, 3054, 513, 8239, 2638, 610, 1616, 547, 5873, 513, 7294, 1523, 6045, 538, 1007, 2474, 267, 519, 4609, 2630, 786, 1305, 596, 909, 585, 5488, 1565, 543, 1279, 3410, 3943, 1967, 563, 22826, 3943, 666, 581, 7168, 16602, 2523, 693, 713, 942, 540, 519, 1032, 267, 607, 8285, 543, 519, 1715, 5729, 607, 21128, 585, 1053, 563, 21430, 1919, 899, 6780, 1187, 543, 7317, 585, 519, 1053, 666, 581, 2182, 267, 607, 1034, 540, 519, 1053, 723, 9219, 539, 856, 585, 519, 9702, 6001, 725, 269, 14171, 2407, 5413, 540, 9702, 942, 543, 1753, 942, 585, 519, 1053, 568, 865, 1271, 782, 1032, 1472, 267, 1256, 952, 789, 798, 13842, 6780, 10467, 563, 2252, 713, 3884, 1406, 1945, 596, 1589, 786, 581, 3730, 585, 519, 1053, 267, 2307, 873, 547, 946, 519, 14501, 547, 2263, 519, 2528, 540, 3943, 2713, 543, 4063, 1524, 930, 540, 519, 1919, 789, 5469, 689, 519, 14501, 547, 1018, 568, 1114, 547, 519, 2475, 610, 5177, 2528, 269, 2353, 540, 891, 7840, 786, 948, 513, 1390, 4308, 2509, 1620, 875, 547, 3651, 1187, 18008, 6780, 538, 707, 3943, 5049, 563, 10743, 786, 1831, 811, 25981, 543, 7722, 1282, 4245, 607, 789, 1294, 3356, 538, 741, 1378, 960, 269, 0, 268, 1772, 19109, 10294, 513, 1533, 540, 6595, 888, 268, 1548, 568, 513, 4365, 1533, 540, 6595, 888, 268, 1548, 568, 519, 2495, 540, 6595, 2359, 888, 268, 1548, 616, 519, 476, 274, 3268, 538, 519, 6595, 2962, 1544, 888, 268, 1548, 616, 519, 2157, 540, 6595, 3210, 888, 268, 1548, 17521, 538, 918, 312, 616, 538, 513, 1533, 540, 6595, 888, 268, 4208, 568, 17996, 538, 513, 1533, 540, 6595, 888, 268, 1548, 798, 649, 1611, 676, 1533, 540, 6595, 888, 268, 1548, 1281, 513, 1533, 540, 6595, 585, 513, 19996, 1611, 888, 268, 1548, 17521, 538, 918, 312, 616, 27876, 888, 268, 1772, 8402, 6807, 538, 1533, 540, 6595, 888, 268, 13201, 19109, 1044, 10294, 513, 9568, 1858, 888, 268, 1548, 1281, 621, 1611, 950, 513, 3084, 1533, 540, 6595, 568, 10294, 888, 268, 1548, 616, 519, 476, 275, 11775, 540, 6595, 2359, 888, 268, 1548, 616, 519, 476, 276, 11775, 540, 6595, 2359, 888, 268, 1548, 616, 519, 476, 273, 2010, 540, 18002, 888, 268, 1548, 616, 519, 476, 274, 2157, 540, 9568, 888, 268, 1548, 616, 519, 1614, 2157, 540, 6595, 888, 3674, 19109, 10294, 513, 1533, 540, 6595, 888, 263, 310, 6347, 313, 264, 1107, 17996, 17135, 29871, 29817, 515, 541, 10294, 513, 3557, 540, 17073, 1813, 547, 5393, 5230, 11811, 2066, 519, 1455, 17314, 2429, 519, 15964, 563, 3891, 1500, 519, 17083, 10732, 10543, 10756, 1432, 568, 513, 4365, 1533, 540, 6595, 888, 288, 1533, 540, 6595, 568, 606, 11889, 1900, 602, 2278, 3278, 519, 946, 540, 1533, 2200, 547, 5351, 538, 7088, 3210, 3646, 563, 1432, 568, 519, 2495, 540, 6595, 2359, 888, 24978, 267, 17846, 267, 543, 6051, 28770, 11765, 2359, 568, 519, 3919, 543, 2359, 540, 519, 2200, 543, 9021, 585, 7231, 609, 782, 19493, 3344, 540, 18002, 630, 2181, 335, 1563, 1145, 267, 3210, 267, 17846, 267, 543, 6051, 1040, 634, 2832, 568, 547, 2569, 519, 5739, 2360, 540, 782, 10898, 267, 1519, 12469, 563, 1432, 616, 519, 476, 274, 3268, 538, 519, 6595, 2962, 1544, 888, 274, 17778, 547, 8073, 606, 17073, 5345, 659, 6672, 4643, 29991, 27549, 5773, 543, 6595, 9101, 8905, 10467, 269, 2560, 25956, 513, 2312, 5832, 540, 4971, 543, 25084, 540, 519, 1268, 17101, 547, 1931, 606, 27549, 269, 2560, 8073, 5773, 547, 2272, 585, 782, 5520, 1310, 606, 6595, 27549, 563, 1432, 616, 519, 2157, 540, 6595, 3210, 888, 28770, 11765, 15863, 2920, 10474, 20946, 25583, 476, 274, 568, 519, 9803, 1377, 540, 11852, 269, 15509, 1641, 2339, 4966, 547, 1291, 519, 3210, 609, 741, 1982, 5234, 269, 2560, 5426, 476, 273, 3322, 513, 1804, 1297, 540, 5234, 689, 519, 4143, 1982, 1858, 543, 689, 519, 661, 8016, 269, 2560, 5426, 476, 272, 568, 519, 5207, 1377, 267, 8506, 513, 476, 2190, 270, 278, 8116, 17253, 4674, 563, 1432, 17521, 538, 918, 312, 616, 538, 513, 1533, 540, 6595, 888, 1607, 6640, 267, 513, 2698, 540, 476, 1724, 17521, 543, 4872, 723, 10294, 2829, 540, 6595, 267, 1519, 22165, 327, 8636, 267, 595, 9994, 599, 267, 8865, 344, 267, 11875, 328, 2714, 267, 6480, 650, 267, 9652, 267, 918, 2254, 339, 267, 7395, 4752, 514, 267, 744, 9749, 2917, 267, 31473, 543, 623, 833, 17521, 543, 519, 4872, 540, 10266, 1206, 6807, 543, 590, 3315, 619, 6807, 563, 3963, 568, 17996, 538, 513, 1533, 540, 6595, 888, 294, 990, 269, 29871, 29817, 515, 541, 814, 10294, 513, 1533, 540, 6595, 1739, 5393, 5230, 11811, 602, 1642, 1872, 539, 17996, 936, 519, 15964, 269, 968, 3528, 30418, 513, 1533, 540, 6595, 267, 649, 666, 20834, 1125, 519, 1533, 2200, 2877, 547, 1489, 519, 4872, 543, 17521, 4299, 676, 713, 5230, 11811, 2223, 29817, 515, 541, 1767, 538, 513, 3377, 5305, 563, 1432, 798, 649, 1611, 676, 1533, 540, 6595, 888, 17504, 3029, 281, 2829, 540, 6595, 269, 1293, 762, 10902, 269, 1403, 513, 2229, 610, 824, 6392, 32141, 513, 1533, 540, 6595, 538, 606, 1858, 267, 621, 12857, 2027, 3800, 971, 607, 2799, 7060, 585, 519, 7128, 610, 7952, 267, 2356, 1317, 540, 3540, 4524, 610, 1317, 540, 513, 2067, 9568, 971, 607, 606, 13091, 563, 1432, 1281, 513, 1533, 540, 6595, 585, 513, 19996, 1611, 888, 288, 1533, 540, 6595, 568, 513, 3510, 799, 2636, 519, 2229, 2333, 7060, 538, 519, 1858, 269, 898, 666, 581, 10294, 585, 513, 1297, 540, 4128, 1519, 3540, 19727, 610, 513, 2067, 9568, 269, 2560, 968, 28770, 11765, 8825, 3800, 267, 3908, 547, 1463, 8549, 6351, 267, 786, 581, 3177, 693, 476, 1911, 2600, 8549, 7616, 3034, 1432, 17521, 538, 918, 312, 616, 27876, 888, 15575, 625, 4299, 1331, 22165, 327, 8636, 267, 595, 9994, 599, 267, 8865, 344, 267, 11875, 328, 2714, 267, 6480, 650, 267, 9652, 267, 918, 2254, 339, 267, 7395, 4752, 514, 267, 744, 9749, 2917, 267, 31473, 267, 543, 623, 833, 17521, 2059, 609, 519, 4872, 540, 10266, 1206, 6807, 543, 590, 3315, 619, 6807, 563, 3674, 8402, 6807, 538, 1533, 540, 6595, 888, 763, 25650, 540, 8402, 6807, 814, 10294, 513, 1533, 540, 6595, 585, 519, 5450, 549, 6619, 540, 513, 3138, 4040, 3375, 538, 519, 6601, 30358, 13177, 2013, 269, 2560, 26302, 15535, 674, 29531, 1767, 621, 2636, 1864, 547, 3635, 1022, 540, 1010, 6595, 7060, 267, 1519, 1346, 547, 16926, 610, 4579, 585, 2533, 267, 543, 7598, 1225, 325, 31974, 543, 824, 9993, 563, 31549, 19109, 1044, 10294, 513, 9568, 1858, 888, 9213, 267, 5518, 9478, 681, 269, 24068, 267, 12789, 269, 10294, 602, 513, 2101, 9568, 6818, 538, 519, 20448, 540, 17996, 543, 10288, 8549, 6351, 547, 7110, 1455, 17314, 543, 2199, 6051, 3646, 538, 519, 2127, 4299, 676, 4049, 15420, 267, 14700, 267, 26949, 1938, 267, 543, 16095, 16435, 1938, 689, 5988, 476, 2767, 547, 4728, 476, 1691, 267, 476, 1708, 272, 563, 1432, 1281, 621, 1611, 950, 513, 3084, 1533, 540, 6595, 568, 10294, 888, 1432, 568, 513, 3557, 540, 17073, 286, 634, 17135, 32141, 513, 3557, 540, 17073, 950, 646, 24172, 11099, 513, 9568, 814, 7018, 610, 949, 581, 31873, 602, 568, 4049, 2614, 547, 2154, 3557, 5351, 547, 7110, 2199, 2200, 538, 7303, 610, 10970, 11868, 14796, 267, 2530, 267, 27465, 610, 7092, 563, 1432, 616, 519, 476, 275, 11775, 540, 6595, 2359, 888, 28770, 11765, 9946, 1589, 540, 12469, 607, 18596, 2621, 609, 2185, 11775, 281, 14600, 12720, 267, 16721, 1563, 1145, 267, 15863, 267, 543, 18401, 563, 1432, 616, 519, 476, 276, 11775, 540, 6595, 2359, 888, 7093, 3685, 267, 17846, 267, 23982, 267, 3210, 543, 6051, 616, 519, 2947, 3268, 540, 17073, 5004, 269, 7093, 3685, 269, 589, 2388, 3144, 547, 2057, 606, 10071, 269, 2560, 14600, 12720, 269, 2560, 16721, 1563, 1145, 269, 2560, 15863, 269, 2560, 18401, 563, 1432, 616, 519, 476, 273, 2010, 540, 18002, 888, 2080, 616, 519, 1034, 1455, 2010, 540, 18002, 543, 875, 547, 4431, 547, 873, 6993, 764, 6342, 269, 6452, 6342, 2097, 538, 1082, 3029, 269, 2560, 2271, 30102, 20222, 543, 15053, 269, 1703, 616, 1082, 10913, 3361, 17543, 676, 3425, 269, 2560, 7849, 2598, 7539, 269, 7849, 12469, 723, 1082, 3029, 269, 2560, 25895, 2598, 7539, 12282, 592, 476, 1240, 267, 476, 1001, 280, 454, 1432, 616, 519, 476, 274, 2157, 540, 9568, 888, 11514, 7539, 616, 19040, 883, 1614, 20946, 12077, 282, 5634, 267, 2101, 543, 21472, 12469, 563, 1432, 616, 519, 1614, 2157, 540, 6595, 888, 8867, 12069, 540, 17073, 25583, 476, 272, 269, 19724, 281, 1323, 10071, 5473, 513, 3908, 1858, 602, 3123, 8766, 1764, 610, 954, 8306, 547, 519, 13464, 269, 2560, 5426, 476, 273, 269, 3525, 4733, 281, 589, 1713, 6595, 602, 7519, 338, 606, 3003, 6989, 610, 2679, 543, 602, 949, 2154, 6351, 689, 5007, 3906, 269, 2560, 5426, 476, 274, 269, 0, 19365, 9956, 630, 12041, 540, 19151, 543, 19201, 264, 19365, 9956, 630, 321, 2194, 2213, 476, 2918, 4989, 476, 14444, 275, 264, 729, 606, 2296, 10564, 543, 31075, 267, 4922, 9833, 607, 519, 6574, 5856, 538, 519, 2296, 1893, 543, 519, 10600, 840, 15041, 5799, 5559, 520, 626, 269, 1261, 568, 1419, 1572, 1621, 4133, 3084, 10564, 543, 519, 645, 731, 540, 2997, 517, 630, 528, 3274, 634, 645, 731, 1040, 3571, 17005, 1568, 2874, 540, 476, 4343, 4249, 267, 476, 15150, 5067, 26506, 267, 1079, 1279, 2239, 9954, 267, 543, 1896, 824, 9954, 269, 3571, 4249, 723, 1044, 12261, 883, 1169, 2101, 2713, 1893, 267, 543, 616, 5340, 811, 1419, 982, 1346, 540, 1022, 824, 31075, 563, 4537, 6832, 729, 4535, 543, 6659, 538, 31854, 5112, 5346, 517, 5025, 341, 517, 269, 18623, 3494, 602, 646, 5747, 593, 1010, 15823, 29364, 14512, 267, 14626, 4575, 609, 853, 6723, 779, 4303, 563, 4263, 519, 2085, 540, 476, 1240, 646, 9310, 14732, 670, 987, 12537, 267, 945, 16004, 1864, 1614, 1453, 281 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 519, 936, 4557, 8536, 10991, 543, 563, 299, 3855, 547, 1344, 827, 1426, 21187, 543, 1426, 19605, 4620, 1431, 269, 5253, 3106, 543, 14791, 3028, 1451, 827, 1426, 21187, 538, 5779, 543, 16738, 2472, 267, 1519, 741, 4214, 267, 1686, 267, 7939, 543, 811, 513, 29395, 540, 4122, 1031, 21187, 543, 2474, 568, 849, 3177, 269, 4014, 519, 2179, 540, 21187, 538, 938, 1426, 568, 3478, 513, 3787, 856, 540, 1688, 630, 11004, 616, 811, 982, 476, 277, 267, 1822, 1426, 21187, 9516, 585, 946, 538, 519, 1426, 2872, 1070, 1210, 5820, 547, 2087, 610, 3986, 1426, 814, 1044, 519, 2343, 585, 5553, 596, 949, 723, 1224, 827, 519, 12178, 540, 8380, 10991, 269, 5253, 21187, 1557, 910, 1303, 6412, 707, 4574, 547, 519, 1034, 16805, 5830, 3479, 707, 1867, 547, 3318, 5640, 2324, 538, 519, 2754, 1303, 6412, 707, 1957, 547, 721, 543, 649, 786, 798, 938, 1655, 585, 596, 269, 1403, 596, 616, 7255, 827, 799, 21187, 949, 581, 1434, 610, 5906, 547, 707, 1072, 267, 581, 2386, 547, 1224, 519, 6003, 593, 519, 1587, 1354, 596, 6718, 621, 930, 21187, 1247, 1031, 547, 8190, 543, 2061, 1426, 689, 24401, 4979, 267, 849, 1683, 2640, 799, 616, 1271, 547, 1434, 1072, 930, 2014, 13027, 6547, 547, 1004, 945, 723, 11959, 610, 703, 11217, 1734, 563, 10403, 3594, 689, 536, 691, 548, 2421, 1923, 581, 1210, 1250, 8516, 5493, 3896, 602, 519, 7548, 607, 1683, 803, 609, 547, 948, 803, 1832, 3950, 540, 1250, 3232, 1426, 543, 20892, 6981, 269, 5253, 21187, 1223, 581, 13818, 547, 1072, 2042, 3361, 676, 519, 21187, 891, 3536, 2270, 865, 952, 606, 936, 629, 1495, 766, 540, 9770, 3884, 1405, 2601, 2614, 585, 596, 547, 14736, 519, 9268, 1426, 269, 5851, 1315, 1857, 1072, 2079, 1315, 476, 2004, 10265, 323, 549, 653, 5944, 6757, 1426, 5820, 1299, 5841, 21187, 547, 2057, 1034, 540, 519, 5820, 602, 596, 1058, 2057, 2887, 883, 835, 540, 1614, 2127, 281, 1426, 21187, 267, 5841, 6653, 22211, 543, 5841, 4778, 811, 543, 811, 4966, 616, 3858, 532, 602, 596, 616, 563, 2026, 4820, 877, 568, 513, 5906, 3114, 1426, 19605, 267, 972, 616, 1082, 14546, 543, 2067, 543, 10991, 10366, 602, 3142, 856, 519, 1655, 538, 519, 8137, 540, 1426, 930, 1426, 21187, 723, 811, 982, 835, 946, 1426, 21187, 616, 7396, 2687, 547, 741, 5107, 1806, 540, 519, 1034, 1455, 5107, 2687, 269, 15053, 995, 1426, 21187, 910, 5739, 1426, 29089, 2510, 1299, 3114, 1426, 4778, 782, 891, 5906, 1426, 21187, 616, 1360, 11342, 538, 782, 12204, 540, 31567, 6653, 2989, 2472, 519, 1152, 1259, 547, 3251, 2922, 568, 547, 917, 1018, 5739, 1426, 21187, 267, 596, 616, 13027, 547, 267, 2057, 1346, 1880, 269, 12989, 568, 606, 1557, 593, 1426, 21187, 689, 4550, 3594, 267, 707, 2707, 585, 1382, 4574, 267, 3594, 267, 543, 2165, 1957, 1806, 1426, 21187, 666, 581, 6225, 610, 5732, 5739, 6878, 5921, 547, 3986, 610, 8190, 519, 3536, 649, 3548, 4948, 269, 0, 1692, 547, 2328, 606, 1557, 268, 5618, 3594, 543, 946, 519, 3741, 547, 4228, 547, 3476, 3594, 270, 1256, 513, 5098, 596, 1522, 849, 6999, 547, 2638, 519, 3381, 593, 5967, 4480, 630, 852, 593, 713, 8756, 1932, 269, 1215, 547, 2328, 513, 5758, 267, 2079, 267, 543, 3210, 1557, 1957, 609, 1806, 8242, 593, 949, 476, 1704, 267, 476, 1001, 278, 32597, 7548, 561, 2106, 928, 1775, 723, 547, 2328, 606, 1557, 609, 6392, 267, 666, 596, 18973, 803, 1946, 1826, 540, 1913, 1775, 666, 946, 547, 1397, 1250, 1448, 676, 519, 1259, 519, 1888, 568, 7231, 1344, 2029, 1250, 1362, 568, 11295, 865, 602, 1250, 1053, 723, 547, 1544, 269, 589, 1870, 1544, 568, 1259, 547, 1397, 602, 596, 616, 538, 519, 1870, 547, 1118, 2724, 6338, 519, 2754, 543, 519, 1587, 4882, 16291, 2856, 585, 519, 1007, 14679, 17784, 521, 3781, 8630, 568, 513, 1007, 2754, 602, 786, 2709, 1164, 2298, 2533, 547, 922, 7218, 269, 5272, 1557, 2115, 606, 1557, 1544, 596, 9327, 1406, 979, 593, 513, 4155, 7552, 1510, 513, 4786, 543, 3594, 616, 1175, 519, 1482, 1354, 707, 7141, 6238, 1603, 606, 1557, 789, 1058, 1118, 513, 2656, 1544, 540, 1018, 789, 2461, 2469, 547, 2328, 827, 563, 1692, 547, 1118, 606, 1557, 1544, 538, 1175, 476, 276, 3764, 519, 8654, 2360, 1031, 948, 1397, 519, 4259, 568, 13777, 22618, 1383, 910, 530, 984, 29087, 5496, 950, 13289, 883, 519, 5119, 519, 1557, 1544, 2630, 568, 585, 513, 19858, 1557, 2243, 827, 519, 4670, 2048, 1492, 5119, 685, 543, 519, 4670, 779, 4259, 621, 1058, 2285, 596, 513, 1434, 2856, 540, 875, 269, 901, 960, 6663, 547, 1397, 20485, 1018, 596, 723, 4121, 1282, 519, 19496, 543, 849, 2982, 707, 2702, 547, 1382, 267, 5659, 267, 1118, 6898, 267, 543, 1106, 9266, 8753, 1018, 2640, 798, 1775, 1205, 952, 596, 2328, 1250, 1557, 585, 803, 1367, 543, 3860, 4485, 1164, 7779, 960, 1759, 593, 707, 5528, 269, 15618, 281, 1395, 267, 476, 5881, 949, 476, 1001, 279, 875, 547, 2328, 606, 1557, 1544, 519, 2702, 547, 2328, 513, 1434, 1557, 5956, 609, 6297, 543, 3608, 4058, 713, 1797, 602, 519, 7041, 543, 1382, 540, 606, 1557, 616, 607, 1271, 267, 952, 711, 811, 865, 267, 982, 519, 4890, 1603, 563, 13625, 2497, 1317, 3594, 616, 9247, 5276, 9789, 344, 2709, 835, 2856, 693, 513, 942, 9789, 344, 1590, 1459, 741, 2093, 538, 519, 1931, 602, 2306, 1034, 2631, 547, 513, 5467, 6707, 1785, 1005, 606, 1557, 1797, 11504, 547, 513, 5467, 781, 7954, 269, 901, 4183, 568, 711, 2139, 1318, 1631, 5225, 2119, 1586, 2663, 269, 634, 1557, 4786, 568, 606, 7317, 8642, 28013, 602, 6087, 1053, 547, 10891, 543, 7291, 741, 2093, 585, 606, 21141, 267, 4214, 531, 267, 610, 10855, 1557, 269, 5153, 2328, 513, 1544, 585, 707, 1557, 596, 1058, 1544, 707, 1557, 883, 1614, 1292, 6810, 281, 519, 4367, 267, 519, 1560, 543, 519, 3932, 519, 4367, 1058, 13713, 2491, 1018, 596, 616, 3843, 547, 3035, 538, 519, 1557, 563, 13625, 1544, 2140, 281, 1496, 785, 6510, 1934, 519, 2140, 596, 723, 6074, 316, 5225, 1745, 1863, 547, 2097, 543, 1865, 707, 7291, 1544, 609, 803, 267, 2523, 952, 596, 616, 711, 1978, 2436, 713, 3942, 786, 711, 1397, 538, 519, 3803, 1557, 267, 6466, 28303, 1500, 547, 513, 2407, 8908, 616, 1419, 6654, 538, 519, 8737, 1587, 269, 19396, 1544, 1383, 476, 273, 2390, 22692, 1775, 6999, 547, 2253, 513, 4876, 538, 1514, 2533, 1775, 6415, 711, 4010, 2386, 799, 2460, 1775, 1131, 899, 547, 979, 883, 267, 855, 1775, 723, 519, 1034, 1719, 538, 1453, 543, 3885, 269, 1215, 547, 2328, 1434, 1557, 1544, 547, 2328, 1434, 1557, 4574, 1797, 547, 1246, 519, 2953, 3889, 538, 21882, 606, 2376, 2356, 267, 1053, 616, 5185, 609, 519, 14196, 827, 875, 789, 666, 2965, 2328, 3594, 593, 519, 1134, 31465, 3584, 1739, 519, 3898, 7150, 676, 519, 4116, 563, 288, 1434, 1557, 1544, 2337, 596, 6582, 707, 2093, 25401, 543, 3251, 593, 3950, 1282, 519, 1603, 1184, 707, 1544, 1058, 1533, 875, 596, 2811, 2469, 547, 6961, 707, 4661, 267, 1519, 519, 2963, 596, 2811, 2469, 547, 946, 269, 2859, 982, 1082, 824, 2010, 540, 3594, 267, 10855, 3594, 11441, 547, 1711, 513, 7184, 3238, 543, 12667, 1995, 585, 519, 5467, 1390, 10855, 3594, 3035, 713, 1860, 711, 998, 5013, 543, 7194, 855, 676, 1210, 2143, 7422, 543, 11673, 269, 4635, 513, 2095, 24577, 543, 3349, 547, 1118, 606, 7084, 1544, 3942, 476, 3393, 513, 2596, 1557, 2497, 1210, 513, 3349, 547, 1118, 606, 3355, 7084, 1544, 2596, 1867, 2497, 2140, 270, 23896, 1169, 1557, 2140, 3568, 606, 8763, 610, 17697, 2243, 707, 1557, 1058, 1445, 593, 16460, 602, 2243, 1018, 786, 707, 1557, 1397, 269, 4828, 4786, 910, 1224, 16261, 996, 1074, 563, 1692, 547, 2328, 606, 1557, 3670, 2694, 281, 1603, 707, 1557, 2847, 2358, 707, 1557, 1603, 513, 10388, 1557, 1603, 606, 16878, 1557, 2328, 513, 2239, 1557, 1557, 948, 2146, 7117, 261, 320, 2429, 707, 4081, 4876, 267, 596, 786, 1419, 581, 4280, 547, 2328, 3594, 596, 949, 723, 547, 960, 593, 606, 8655, 1557, 585, 1362, 267, 4283, 606, 1557, 16311, 610, 2328, 3594, 585, 2852, 23504, 269, 1403, 596, 616, 1603, 513, 4876, 3853, 1557, 267, 1224, 593, 547, 1451, 875, 1082, 10927, 543, 15938, 3292, 2154, 606, 1557, 593, 707, 1272, 267, 2123, 4690, 543, 4876, 3853, 585, 803, 267, 1775, 666, 3362, 24808, 1250, 3853, 538, 513, 1906, 5220, 269, 16373, 1544, 513, 6725, 1544, 568, 513, 2143, 267, 21503, 543, 2854, 1867, 602, 513, 1870, 3096, 538, 1931, 547, 7291, 519, 3527, 602, 1058, 581, 3144, 547, 5561, 543, 7218, 543, 3800, 3144, 547, 22321, 873, 547, 6718, 519, 1587, 269, 1215, 547, 2328, 606, 7291, 2947, 2694, 281, 3732, 14592, 4058, 707, 7291, 1785, 1005, 707, 7291, 12180, 707, 2093, 3803, 1944, 707, 7291, 2146, 7117, 261, 320, 606, 7291, 568, 513, 1390, 1259, 547, 10891, 2093, 543, 1344, 585, 513, 4633, 267, 606, 1557, 267, 513, 3209, 267, 610, 513, 1353, 3391, 1759, 593, 707, 1362, 4967, 563, 288, 5929, 3898, 585, 15885, 568, 519, 2947, 24733, 4588, 1557, 621, 568, 711, 519, 1152, 3898, 585, 1603, 606, 1557, 267, 540, 1576, 267, 855, 621, 568, 513, 3730, 2203, 585, 596, 547, 1832, 538, 2247, 267, 2523, 607, 596, 2253, 547, 1020, 707, 5888, 1983, 269, 634, 1101, 1557, 568, 513, 3044, 5172, 1433, 1557, 1010, 2034, 267, 827, 1010, 5172, 4116, 267, 4422, 883, 811, 3178, 543, 8761, 811, 827, 519, 11134, 267, 602, 646, 21593, 1565, 267, 8098, 2231, 4830, 2219, 267, 543, 4566, 547, 1353, 1686, 269, 29149, 1557, 4214, 513, 10855, 1557, 568, 513, 1826, 540, 1603, 538, 799, 596, 4766, 513, 3364, 267, 2680, 267, 1184, 610, 1268, 519, 1292, 3804, 540, 713, 1826, 540, 1557, 568, 547, 1711, 513, 12667, 1995, 585, 519, 5467, 543, 2285, 873, 513, 811, 538, 3829, 1620, 540, 519, 1557, 779, 1641, 269, 12726, 1557, 630, 8517, 1913, 264, 585, 519, 7084, 2243, 543, 2079, 267, 1294, 3732, 1557, 476, 272, 630, 527, 1070, 3506, 991, 513, 960, 762, 1544, 547, 4628, 11753, 621, 883, 782, 3344, 540, 519, 6437, 865, 1053, 616, 6026, 875, 267, 1946, 267, 543, 950, 547, 946, 2029, 547, 2417, 3986, 741, 1565, 269, 0, 19370, 1738, 8847, 540, 17035, 538, 1382, 713, 1935, 568, 1419, 5532, 547, 11050, 1382, 2409, 585, 946, 538, 1072, 1382, 2139, 693, 1547, 6396, 1670, 8989, 538, 12007, 267, 11050, 267, 543, 6404, 2409, 1072, 2533, 1382, 4930, 1353, 676, 1210, 1114, 2409, 585, 1547, 4985, 547, 11050, 1382, 2409, 2278, 281, 2016, 602, 972, 568, 849, 10462, 267, 713, 1797, 602, 519, 7681, 5526, 896, 513, 3099, 540, 1114, 4586, 308, 330, 612, 904, 1260, 972, 616, 1082, 8847, 2139, 585, 11050, 1382, 2016, 676, 1114, 4589, 620, 328, 15676, 543, 1368, 526, 3205, 630, 1220, 273, 264, 723, 4330, 519, 11050, 1382, 2409, 1360, 1134, 620, 328, 15676, 543, 1368, 526, 3205, 630, 1220, 273, 264, 723, 4330, 519, 11050, 1382, 2409, 1360, 1134, 269, 26592, 267, 12007, 267, 543, 6404, 1382, 2409, 538, 4702, 2069, 11050, 1382, 6272, 2090, 602, 723, 8947, 875, 1114, 1547, 26592, 1382, 1018, 568, 11050, 1382, 11007, 540, 891, 2338, 2066, 1114, 8658, 6148, 519, 5619, 729, 1152, 2016, 547, 2575, 4586, 16675, 1930, 1569, 4589, 666, 2671, 741, 1382, 538, 513, 3099, 540, 1114, 2081, 543, 3116, 22609, 814, 513, 1297, 540, 3039, 1930, 1569, 3681, 2139, 649, 4363, 4589, 1294, 938, 3039, 1930, 1569, 2985, 585, 2417, 1344, 269, 15316, 4214, 540, 1382, 2409, 676, 1585, 4589, 5587, 651, 543, 5587, 651, 281, 1382, 568, 513, 6297, 267, 9836, 543, 6662, 7634, 5342, 547, 3489, 4570, 5013, 267, 2721, 8753, 543, 3964, 3741, 3823, 606, 30753, 1966, 538, 930, 2361, 540, 1702, 269, 19120, 5511, 543, 11050, 1382, 6272, 616, 811, 2147, 982, 1114, 513, 1360, 2596, 4214, 540, 17779, 568, 267, 968, 628, 902, 2291, 1152, 538, 519, 1483, 1158, 892, 543, 1547, 1412, 1998, 7190, 262, 538, 12007, 543, 11050, 1382, 519, 2039, 540, 8847, 2016, 676, 3056, 4589, 5542, 540, 1114, 4589, 1603, 689, 1114, 1547, 7799, 14591, 543, 8467, 540, 11050, 1382, 2409, 2016, 519, 1935, 2877, 547, 1142, 540, 891, 3237, 547, 2491, 519, 1353, 3483, 2139, 693, 281, 5291, 4586, 30547, 543, 4214, 540, 1382, 1374, 1826 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 835, 540, 519, 1101, 1919, 602, 1082, 1004, 1451, 693, 1153, 607, 1453, 563, 306, 19414, 13043, 4792, 13553, 9990, 8382, 7659, 306, 19414, 13043, 277, 270, 276, 568, 2966, 585, 1053, 538, 3446, 476, 276, 267, 610, 3446, 476, 277, 1053, 945, 616, 10010, 609, 2979, 269, 901, 590, 19414, 295, 2345, 1041, 14173, 2882, 281, 9906, 7956, 282, 476, 6344, 4245, 267, 476, 1321, 13753, 267, 476, 278, 1321, 269, 476, 1220, 271, 585, 323, 535, 5611, 4550, 17403, 19268, 27260, 7476, 5131, 590, 19414, 4569, 6092, 476, 274, 8382, 6206, 3292, 269, 4569, 29329, 476, 274, 11414, 6310, 2035, 998, 13181, 4245, 267, 5363, 12222, 267, 543, 7317, 2238, 543, 13753, 269, 590, 19414, 4569, 6092, 476, 274, 590, 19414, 4569, 6092, 476, 273, 590, 19414, 2979, 3292, 3132, 8746, 1053, 945, 616, 711, 1152, 2111, 547, 7157, 12337, 267, 855, 849, 547, 4019, 269, 590, 19414, 2979, 476, 276, 628, 3446, 2626, 1883, 7824, 476, 4905, 590, 19414, 4569, 9255, 618, 4530, 5664, 24110, 630, 276, 270, 275, 998, 10789, 476, 272, 270, 273, 264, 476, 6349, 590, 19414, 4569, 9255, 618, 4530, 910, 10789, 476, 272, 476, 6734, 590, 19414, 4569, 9255, 618, 4530, 910, 10789, 476, 273, 476, 6860, 590, 19414, 4569, 9255, 618, 4530, 910, 16592, 24110, 476, 4962, 10691, 292, 2433, 12832, 1961, 519, 4569, 15248, 1281, 711, 4867, 1683, 3381, 4245, 585, 24110, 918, 268, 273, 543, 20145, 269, 2626, 1883, 519, 2531, 514, 4618, 267, 1094, 343, 517, 2979, 1576, 476, 273, 2875, 7160, 7824, 1863, 4647, 267, 1094, 343, 517, 2979, 1576, 476, 273, 2626, 1883, 3992, 476, 278, 267, 1094, 343, 517, 2979, 1576, 476, 273, 7824, 2262, 12304, 635, 267, 3435, 547, 1094, 343, 517, 2979, 1576, 476, 272, 476, 7818, 14689, 15221, 4281, 274, 276, 1863, 267, 4647, 1094, 343, 517, 2979, 3992, 476, 8064, 1576, 476, 273, 4267, 7824, 267, 1863, 7824, 2979, 1576, 476, 273, 2626, 1883, 25877, 3530, 8270, 919, 275, 340, 1071, 20410, 267, 1094, 343, 517, 563, 306, 19414, 4569, 476, 277, 270, 276, 27800, 8382, 6206, 269, 676, 3627, 590, 19414, 1923, 3967, 476, 272, 267, 476, 1220, 275, 269, 476, 276, 269, 271, 856, 540, 476, 276, 6801, 476, 272, 269, 28980, 269, 590, 19414, 20145, 476, 273, 526, 9990, 18873, 543, 8382, 6206, 630, 13553, 264, 1496, 26261, 3724, 316, 3967, 476, 272, 267, 476, 1220, 278, 269, 3267, 7300, 282, 3883, 5678, 269, 2296, 282, 4139, 1744, 6235, 269, 4139, 1744, 6235, 4432, 580, 1043, 282, 16448, 269, 1715, 282, 13242, 282, 2997, 22355, 269, 6723, 6115, 9142, 269, 476, 25375, 278, 590, 269, 476, 4968, 271, 661, 269, 853, 269, 6723, 267, 18096, 476, 279, 5325, 3445, 269, 476, 31973, 268, 6858, 274, 268, 23417, 273, 269, 1627, 16412, 298, 4792, 4888, 14684, 2207, 26395, 312, 11123, 14408, 311, 2177, 13878, 295, 476, 275, 16998, 32767, 476, 272, 11711, 7392, 7300, 4888, 14684, 2207, 26395, 312, 11123, 14408, 311, 2177, 13878, 295, 476, 275, 16998, 32767, 1879, 18825, 1058, 979, 547, 519, 2835, 8637, 267, 3406, 5748, 676, 6300, 267, 15808, 676, 15808, 267, 621, 568, 538, 4641, 16609, 269, 901, 568, 1946, 649, 522, 23807, 478, 518, 519, 1433, 735, 559, 725, 538, 713, 3896, 269, 898, 786, 632, 16667, 333, 7019, 8897, 596, 547, 1294, 3391, 4888, 14684, 2207, 26395, 312, 11123, 14408, 311, 2177, 13878, 295, 476, 275, 16998, 32767, 563, 12606, 590, 19414, 4569, 476, 276, 476, 275, 18873, 590, 19414, 4569, 476, 276, 476, 275, 18873, 901, 590, 19414, 4569, 23467, 1041, 476, 7918, 18873, 543, 6096, 1433, 568, 851, 540, 519, 590, 19414, 4569, 476, 7918, 6437, 585, 8772, 3446, 1053, 543, 2488, 29433, 5013, 2259, 4255, 585, 1142, 3992, 607, 1134, 607, 476, 2537, 19469, 4255, 602, 3382, 1169, 476, 276, 268, 1015, 4245, 269, 2999, 321, 285, 306, 19414, 9572, 321, 285, 2999, 321, 285, 13043, 9572, 321, 285, 2999, 321, 285, 22706, 9572, 321, 285, 476, 275, 269, 589, 4510, 309, 309, 294, 14408, 311, 2177, 13878, 295, 2910, 7838, 10345, 476, 273, 4888, 14684, 2207, 26395, 312, 10396, 299, 12114, 17676, 476, 274, 476, 274, 2407, 6066, 610, 607, 513, 7110, 547, 4928, 2069, 24568, 782, 2157, 540, 2542, 267, 1603, 267, 1686, 267, 11585, 267, 6128, 267, 2257, 267, 585, 268, 552, 793, 4654, 267, 20116, 267, 7954, 267, 1148, 267, 543, 2575, 267, 7488, 540, 707, 1378, 19038, 3363, 538, 1346, 5396, 269, 23897, 1343, 540, 3237, 543, 4001, 268, 563, 306, 19414, 10789, 476, 273, 23467, 1041, 14173, 609, 10298, 15015, 267, 476, 274, 6113, 9990, 634, 6539, 2882, 281, 9906, 30930, 8382, 6206, 1107, 713, 1433, 3274, 2488, 2626, 10569, 547, 519, 2875, 2259, 5036, 630, 5228, 519, 1257, 264, 543, 519, 1449, 2055, 630, 5228, 519, 1449, 27412, 264, 10298, 15015, 1107, 713, 2835, 2982, 519, 1900, 8386, 9912, 3435, 547, 519, 2259, 5036, 543, 1449, 2055, 269, 22982, 513, 2638, 1665, 547, 1448, 519, 2626, 1141, 2877, 269, 17677, 2638, 782, 519, 6445, 762, 4610, 547, 2327, 2407, 8856, 269, 22982, 519, 6178, 15484, 547, 1711, 543, 1039, 707, 5907, 15040, 547, 1129, 3086, 519, 590, 19414, 2979, 6780, 9212, 1106, 269, 4964, 667, 821, 1310, 596, 9096, 519, 1106, 269, 3767, 596, 3513, 581, 2111, 547, 1820, 267, 4647, 267, 610, 2671, 519, 3561, 269, 8058, 532, 476, 272, 910, 476, 1428, 540, 476, 9340, 1496, 9202, 3436, 4940, 11628, 4569, 8382, 6206, 1299, 18873, 630, 273, 526, 9990, 264, 1269, 866, 269, 2004, 1142, 269, 11628, 4569, 23467, 1041, 14173, 630, 273, 526, 9990, 264, 1280, 22312, 281, 595, 4041, 303, 270, 9169, 4306, 3341, 2326, 543, 811, 256, 910, 595, 4041, 303, 17072, 590, 19414, 11628, 9119, 267, 476, 273, 526, 7160, 267, 9768, 1948, 269, 22291, 2875, 1257, 267, 4255, 267, 2626, 1883, 543, 3070, 8261, 269, 1269, 3393, 563, 290, 274, 5484, 577, 5658, 4530, 476, 274, 5623, 8382, 6206, 281, 11711, 12025, 281, 476, 6200, 737, 321, 15545, 2368, 540, 519, 3211, 585, 713, 1523, 616, 13488, 609, 519, 1119, 4242, 839, 1272, 568, 513, 3460, 649, 2661, 835, 590, 19414, 2979, 476, 9262, 4255, 543, 2626, 1883, 476, 274, 6113, 7160, 3134, 889, 590, 19414, 2979, 476, 9262, 4255, 543, 2626, 1883, 476, 274, 6113, 7160, 7824, 590, 19414, 2979, 476, 9262, 9542, 585, 2027, 5095, 2626, 590, 19414, 4116, 585, 269, 476, 272, 268, 276, 4792, 6507, 268, 6187, 279, 268, 275, 634, 4530, 269, 590, 19414, 4569, 476, 276, 270, 275, 7956, 3883, 543, 8249, 269, 4787, 760, 547, 1292, 1543, 269, 9603, 547, 513, 9709, 1379, 856, 720, 593, 11016, 267, 476, 272, 270, 1691, 267, 1063, 476, 279, 600, 268, 272, 10975, 623, 4306, 267, 3267, 590, 19414, 4569, 476, 7918, 28924, 16086, 15005, 4647, 269, 476, 278, 269, 272, 300, 1547, 590, 19414, 4569, 476, 7918, 30930, 15005, 563, 306, 19414, 2979, 476, 279, 270, 278, 609, 840, 7223, 2626, 1883, 7824, 476, 1001, 278, 4647, 7824, 2407, 634, 9906, 9990, 7956, 3096, 513, 1079, 12258, 528, 2985, 11768, 269, 634, 1152, 3017, 568, 267, 596, 666, 3362, 23249, 267, 556, 13388, 543, 3728, 268, 3453, 519, 11000, 267, 1565, 693, 707, 1378, 10605, 269, 9119, 13043, 538, 10312, 267, 6092, 476, 273, 306, 19414, 4569, 6092, 476, 274, 306, 19414, 4569, 6092, 476, 273, 306, 19414, 4569, 29329, 476, 276, 590, 19414, 4569, 568, 2653, 547, 1544, 543, 14785, 547, 4001, 269, 634, 1445, 593, 3246, 3610, 609, 2994, 585, 3384, 606, 1620, 540, 670, 8582, 543, 654, 14176, 2979, 1568, 13976, 513, 4396, 5748, 585, 2362, 7400, 6128, 269, 910, 21629, 269, 3721, 676, 1900, 563, 17572, 7392, 7300, 590, 19414, 4569, 476, 10602, 476, 275, 628, 9990, 8382, 6206, 590, 19414, 4569, 476, 10602, 476, 275, 628, 9990, 8382, 6206, 24722, 1418, 540, 519, 1433, 4123, 540, 519, 2136, 8003, 2529, 19414, 4569, 568, 2653, 547, 1544, 269, 21942, 476, 275, 628, 6103, 4569, 4518, 1504, 15434, 7219, 910, 6380, 1087, 269, 916, 340, 12975, 269, 18224, 532, 1283, 476, 279, 3211, 1336, 585, 910, 21942, 6103, 476, 276, 4569, 2529, 727, 540, 519, 3211, 585, 713, 1523, 616, 623, 8986, 976, 2979, 1433, 476, 274, 6113, 3446, 27260, 268, 5700, 1018, 596, 917, 454, 268, 898, 781, 13777, 850, 547, 3589, 519, 4346, 543, 1719, 3928, 454, 268, 1411, 723, 7899, 540, 942, 547, 2697, 543, 5431, 11108, 3549, 454, 268, 3680, 1279, 15833, 454, 268, 6153, 2359, 568, 1360, 1271, 910, 4444, 1434, 4213, 454, 268, 2142, 8465, 543, 18803, 267, 543, 1451, 689, 9073, 454, 268, 6969, 596, 1118, 513, 6718, 267, 596, 1058, 581, 2111, 547, 2491, 1946, 596, 616, 9140, 454, 268, 1703, 781, 2141, 1945, 547, 5855, 827, 910, 798, 596, 917, 1018, 621, 568, 888, 306, 19414, 10789, 476, 273, 23467, 268, 1041, 13268, 564, 476, 274, 6113, 9990, 476, 3953, 1449, 3029, 585, 5321, 268, 1041, 532, 267, 543, 4267, 547, 782, 4255, 267, 543, 2875, 1257, 26247, 1966, 5036, 269, 6103, 5426, 476, 280, 268, 1321, 590, 19414, 4569, 568, 2653, 547, 1544, 543, 14785, 547, 4001, 269, 634, 1445, 593, 1364, 268, 532, 3610, 609, 1193, 622, 3766, 625, 585, 3384, 606, 796, 268, 1457, 9227, 540, 670, 8582, 543, 654, 14176, 2979, 1568, 13976, 513, 4396, 5748, 269, 590, 19414, 4569, 29329, 476, 276, 8382, 6206, 568, 2649, 1043, 538, 938, 3059, 5399, 606, 2228, 1569, 547, 621, 568, 1305, 607, 1857, 5330, 5944, 596, 666, 4647, 621, 14678, 269, 3776, 3059, 5399, 17990, 538, 6687, 691, 2477, 267, 3850, 596, 547, 1205, 519, 1034, 1447, 26125, 2053, 547, 4647, 1022, 540, 938, 2835, 1985, 713, 835, 269, 631, 699, 569, 1767, 267, 519, 590, 19414, 4569, 269, 11711, 7392, 7300, 590, 19414, 4569, 476, 10602, 476, 275, 628, 9990, 8382, 6206, 590, 19414, 4569, 476, 10602, 476, 275, 628, 9990, 8382, 6206, 24722, 1418, 540, 519, 1433, 4123, 540, 519, 2136, 8003, 2529, 19414, 4569, 568, 2653, 547, 1544, 269, 21942, 476, 275, 628, 6103, 4569, 4518, 1504, 15434, 7219, 910, 6380, 1087, 269, 916, 340, 12975, 269, 18224, 532, 1283, 476, 279, 3211, 1336, 585, 910, 21942, 6103, 476, 276, 4569, 2529, 727, 540, 519, 3211, 585, 713, 1523, 616, 623, 8986, 976, 2979, 1433, 476, 274, 6113, 3446, 27260, 338, 7219, 1472, 25449, 568, 3043, 269, 7887, 25880, 538, 575, 3279, 476, 276, 269, 11289, 596, 7357, 1454, 585, 23842, 6206, 8382, 476, 276, 29329, 4569, 590, 19414, 8160, 599, 2041, 596, 723, 1702, 602, 267, 1004, 723, 1413, 3875, 1974, 585, 741, 5172, 2835, 609, 713, 6206, 8382, 476, 276, 29329, 4569, 590, 19414, 267, 855, 1439, 2921, 1747, 538, 5739, 28085, 10611, 1430, 982, 11981, 513, 19509, 928, 19545, 2663, 982, 513, 544, 1872, 540, 1071, 23807, 478, 2465, 538, 519, 12784, 269, 590, 19414, 4569, 9255, 618, 6651, 269, 590, 19414, 2835, 616, 5578, 7400, 2835, 267, 711, 3446, 7400, 2835, 269, 898, 568, 1898, 602, 1142, 2875, 581, 5116, 538, 519, 1257, 602, 10742, 1010, 610, 1200, 5578, 1377, 269, 11773, 609, 835, 590, 19414, 1433, 9244, 5267, 1967, 609, 519, 1985, 590, 19414, 1433, 269, 634, 1739, 590, 19414, 13307, 1449, 3391, 949, 581, 1031, 547, 7447, 799, 1433, 513, 2875, 563, 306, 19414, 2979, 476, 275, 628, 3446, 2626, 1883, 7824, 590, 19414, 4569, 2907, 814, 513, 3126, 540, 2835, 585, 9656, 998, 3791, 3446, 267, 543, 1776, 3126, 602, 5956, 609, 4569, 476, 276, 270, 275, 585, 8772, 3446, 543, 5170, 909, 998, 20145, 269, 3267, 590, 19414, 4569, 29329, 476, 274, 267, 476, 275, 2073, 543, 476, 276, 941, 2854, 676, 15537, 670, 820, 543, 267, 18867, 267, 616, 811, 2147, 547, 519, 5580, 1377, 2835, 982, 269, 590, 19414, 2979, 476, 279, 270, 278, 609, 840, 7223, 2626, 1883, 7824, 476, 1001, 278, 4647, 7824, 2407, 634, 9906, 9990, 7956, 3096, 513, 1079, 12258, 528, 2985, 11768, 269, 634, 1152, 3017, 568, 267, 596, 666, 3362, 23249, 267, 556, 13388, 543, 3728, 268, 3453, 519, 11000, 267, 1565, 693, 707, 1378, 10605, 269, 10298, 15015, 590, 19414, 4569, 29329, 476, 274, 10298, 15015, 9768, 281, 7818, 268, 272, 268, 7785, 268, 23283, 7367, 268, 277, 634, 10298, 15015, 3568, 519, 3435, 585, 519, 9906, 30930, 269, 1411, 786, 991, 519, 10298, 267, 7457, 5131, 590, 19414, 4569, 6092, 476, 274 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 5109, 1010, 7015, 781, 9371, 267, 610, 2611, 14980, 543, 28511, 519, 7242, 540, 24123, 15093, 2496, 289, 528, 2471, 262, 1650, 12651, 1271, 2055, 827, 519, 2078, 1063, 3140, 3965, 543, 2797, 26117, 269, 1635, 20747, 2590, 519, 3515, 1063, 1249, 543, 5708, 267, 646, 20217, 3988, 547, 23827, 622, 519, 2081, 538, 799, 8789, 6386, 616, 9112, 543, 9738, 1107, 4030, 602, 2611, 4143, 2221, 267, 607, 7239, 3136, 21679, 609, 23543, 540, 2250, 32012, 885, 543, 5571, 9620, 585, 5126, 780, 307, 9506, 1631, 547, 519, 6249, 540, 4187, 267, 649, 1265, 1100, 17732, 540, 11121, 8941, 540, 10100, 543, 6043, 2429, 3162, 1977, 3332, 269, 3245, 9678, 6411, 540, 1219, 4800, 547, 27789, 5322, 585, 1689, 267, 891, 6386, 20838, 519, 13710, 1761, 540, 7104, 2962, 543, 1367, 8116, 269, 1358, 849, 7866, 519, 1164, 30367, 3238, 538, 4101, 31737, 1949, 540, 1379, 267, 607, 1134, 607, 519, 24279, 2838, 547, 3142, 827, 6209, 3356, 780, 13706, 267, 585, 3236, 267, 1772, 8475, 2353, 29868, 781, 3209, 834, 763, 5600, 540, 519, 9454, 1080, 2437, 799, 12225, 2873, 519, 2729, 540, 1614, 5481, 540, 2021, 9624, 16266, 781, 24360, 5912, 689, 9111, 547, 28983, 1222, 896, 4937, 4864, 334, 18237, 665, 2867, 269, 6239, 547, 519, 1650, 568, 27262, 1642, 966, 4150, 267, 513, 804, 1515, 341, 1195, 656, 1319, 686, 1105, 945, 3096, 1200, 2189, 5759, 547, 6330, 519, 13346, 2797, 5251, 543, 2149, 1200, 1920, 689, 2800, 269, 3414, 27262, 781, 4064, 267, 649, 7198, 1312, 519, 14042, 4539, 540, 1533, 5208, 543, 519, 9058, 4390, 540, 8723, 1004, 547, 5706, 15746, 780, 5472, 29868, 781, 960, 5713, 607, 513, 3532, 12576, 602, 4187, 3217, 1082, 3029, 1107, 689, 9602, 6411, 540, 1016, 11437, 547, 1857, 23405, 540, 29926, 269, 5047, 267, 621, 8711, 519, 2629, 1909, 5129, 676, 2021, 538, 20834, 1944, 2950, 543, 6117, 1514, 7004, 267, 1256, 538, 519, 3068, 540, 9583, 31837, 25236, 762, 12918, 780, 2026, 649, 9959, 938, 3408, 540, 28983, 1222, 543, 4187, 538, 3162, 1977, 5708, 267, 621, 3587, 2312, 602, 891, 5931, 3180, 3407, 4245, 585, 10188, 519, 10848, 540, 1379, 543, 6214, 538, 938, 1378, 942, 269, 6787, 29270, 519, 29886, 2360, 540, 19525, 267, 21679, 609, 519, 2591, 15054, 676, 14051, 267, 610, 8396, 1154, 8375, 2278, 23540, 5001, 267, 972, 568, 1454, 547, 1451, 689, 519, 3148, 781, 3638, 5339, 2245, 780, 3528, 2502, 609, 891, 1568, 9691, 267, 649, 666, 11349, 513, 4514, 7071, 585, 519, 6946, 7544, 1063, 17282, 543, 1219, 4800, 267, 607, 1134, 607, 513, 17105, 7029, 547, 5807, 811, 12581, 543, 1175, 7239, 269, 1656, 5310, 1034, 11932, 267, 649, 786, 3605, 602, 1369, 1142, 540, 721, 6013, 519, 1761, 547, 1118, 513, 3017, 1107, 2436, 998, 1507, 17267, 540, 17604, 610, 12050, 6411, 540, 4187, 269, 0, 2080, 568, 606, 1349, 689, 513, 2546, 912, 257, 23895, 5816, 679, 31423, 826, 2587, 5055, 1047, 267, 19217, 2946, 1612, 4856, 514, 928, 4077, 30592, 267, 4515, 525, 572, 584, 546, 685, 836, 5055, 529, 14193, 10370, 322, 19902, 1325, 664, 2051, 553, 632, 3026, 951, 1609, 1303, 328, 27056, 618, 678, 2946, 23653, 2946, 1612, 964, 20527, 331, 11726, 1407, 632, 20941, 2207, 4911, 5055, 529, 630, 299, 836, 1132, 267, 700, 8636, 2946, 337, 2137, 1696, 6406, 31907, 661, 13700, 836, 11726, 637, 1696, 681, 2946, 326, 1308, 525, 1040, 299, 525, 4930, 606, 857, 839, 23835, 476, 18863, 2946, 20527, 322, 761, 338, 1612, 8350, 20527, 331, 11726, 1407, 632, 19845, 4041, 630, 299, 8636, 2946, 337, 1155, 679, 18999, 826, 661, 13700, 836, 27056, 1040, 299, 525, 535, 2246, 525, 683, 521, 2632, 32488, 512, 719, 525, 1351, 3419, 2946, 525, 13248, 2900, 3455, 8350, 13755, 5886, 2019, 2632, 15530, 1696, 13248, 10063, 790, 964, 2175, 678, 2946, 21304, 546, 685, 583, 559, 5314, 964, 856, 2812, 1003, 2946, 686, 13196, 546, 753, 796, 2796, 324, 1313, 516, 6446, 1085, 7637, 790, 12991, 748, 642, 748, 556, 1067, 322, 687, 1810, 322, 13248, 12911, 516, 18656, 10885, 563, 291, 1853, 7217, 568, 513, 3209, 689, 519, 7819, 2278, 7638, 517, 3821, 681, 1054, 269, 898, 814, 1044, 3370, 538, 476, 1001, 272, 543, 621, 568, 851, 540, 519, 5339, 9135, 540, 29711, 807, 269, 901, 1433, 568, 519, 1101, 540, 513, 3811, 959, 559, 9609, 269, 1284, 616, 538, 513, 2022, 268, 777, 32565, 2749, 267, 19497, 9628, 269, 3371, 568, 519, 1650, 540, 519, 1433, 10778, 6826, 520, 29029, 13405, 267, 1572, 2558, 529, 267, 568, 519, 1292, 1915, 540, 713, 3209, 269, 2701, 5030, 538, 513, 2486, 5258, 883, 476, 276, 1249, 687, 267, 2687, 547, 519, 12880, 7209, 911, 328, 3010, 2237, 606, 3573, 543, 2143, 1576, 1770, 538, 513, 1837, 585, 2852, 1053, 1644, 547, 519, 1349, 1657, 267, 2519, 593, 834, 291, 1112, 2209, 1222, 543, 18650, 538, 3162, 1977, 11470, 257, 607, 851, 540, 834, 11227, 1315, 2622, 9085, 1315, 3162, 3013, 630, 14197, 29215, 1684, 711, 1175, 1592, 2035, 267, 855, 1020, 1142, 835, 538, 1469, 1354, 3001, 547, 519, 1985, 267, 607, 649, 4225, 3178, 540, 1620, 543, 3102, 3408, 540, 519, 1641, 2339, 936, 4560, 780, 2521, 547, 1384, 268, 3550, 538, 3829, 3795, 540, 519, 2035, 563, 268, 2422, 513, 2239, 267, 2219, 4538, 2511, 563, 268, 4045, 519, 1888, 609, 1699, 3466, 267, 1483, 3734, 1806, 267, 610, 2487, 2090, 563, 2710, 711, 1331, 513, 2140, 267, 2606, 2453, 267, 610, 2592, 269, 3503, 519, 1543, 2047, 269, 0, 769, 519, 2462, 2749, 540, 21388, 267, 7147, 267, 5030, 513, 1895, 540, 11112, 581, 28316, 3957, 7033, 828, 267, 12706, 518, 267, 543, 932, 529, 601, 518, 269, 1358, 941, 851, 540, 519, 9735, 2319, 693, 7147, 8564, 2142, 11232, 12706, 619, 267, 513, 4070, 2754, 602, 729, 1634, 782, 936, 585, 741, 19756, 21394, 256, 1809, 25015, 267, 789, 1185, 1044, 3206, 827, 1945, 1360, 1271, 910, 7863, 519, 4190, 4104, 1753, 789, 3838, 609, 1082, 824, 2831, 676, 4227, 3653, 543, 5009, 6940, 780, 3080, 13566, 6640, 267, 1247, 544, 684, 4221, 593, 930, 17705, 13626, 267, 7033, 828, 1767, 267, 968, 293, 12188, 267, 1705, 596, 917, 602, 3425, 12235, 2476, 6634, 540, 9748, 540, 2326, 1169, 1032, 1282, 4070, 286, 594, 1589, 649, 666, 948, 1689, 602, 17373, 27837, 267, 12706, 518, 3773, 267, 968, 2171, 1223, 946, 811, 13381, 543, 909, 7094, 539, 3688, 538, 938, 13976, 256, 898, 1131, 4688, 2200, 6730, 1832, 1919, 856, 540, 26071, 14325, 2419, 529, 601, 518, 21330, 31113, 269, 968, 4517, 7058, 1018, 286, 1284, 666, 1397, 3025, 875, 5863, 621, 568, 950, 649, 9337, 938, 3896, 256, 2913, 781, 1711, 513, 2027, 1747, 1572, 2048, 292, 1723, 18768, 8730, 2407, 540, 5961, 11744, 875, 649, 1065, 17123, 2025, 18646, 267, 14569, 267, 23691, 1107, 1256, 7745, 19269, 10590, 4256, 1544, 3459, 2921, 3337, 780, 5445, 3893, 547, 960, 1318, 2476, 267, 10655, 2984, 540, 6126, 5561, 945, 15874, 741, 10357, 7888, 2409, 269, 2290, 7817, 3957, 8293, 597, 7758, 5206, 267, 834, 307, 1410, 553, 8564, 2142, 11232, 12706, 619, 5828, 1250, 22938, 883, 513, 18241, 3529, 5264, 256, 3767, 594, 1745, 1390, 6616, 602, 3079, 540, 10678, 909, 538, 513, 29746, 267, 1346, 2326, 1336, 1007, 3483, 3010, 2026, 2395, 4682, 676, 267, 519, 2468, 334, 2813, 606, 3750, 2275, 10248, 20927, 10023, 513, 20446, 1500, 7357, 540, 13381, 2326, 269, 7201, 17231, 267, 789, 5116, 513, 12445, 3046, 16046, 547, 19889, 18768, 267, 799, 12006, 1142, 1788, 781, 9058, 3334, 269, 589, 1289, 3562, 268, 9146, 14376, 8436, 547, 6443, 741, 3039, 5692, 780, 3719, 1287, 3357, 519, 6397, 6335, 269, 4658, 6068, 741, 5499, 6272, 865, 1454, 602, 4166, 2614, 267, 3747, 585, 4264, 5656, 2799, 14831, 3585, 256, 901, 5921, 2324, 7466, 607, 2182, 267, 4466, 1256, 811, 2081, 547, 22120, 543, 18359, 3407, 2200, 269, 1656, 3006, 267, 789, 5185, 2591, 2059, 519, 1259, 1317, 9256, 5876, 543, 2825, 5539, 7012, 1405, 2141, 2653, 780, 32701, 267, 7033, 828, 267, 12706, 518, 267, 543, 932, 529, 601, 518, 7283, 5462, 547, 1118, 513, 3017, 267, 18445, 602, 8990, 267, 9345, 267, 543, 12391, 585, 2470, 5963, 17188, 1055, 538, 1818, 519, 1158, 513, 1732, 1747, 585, 721, 782, 269, 0, 2237, 606, 3872, 1650, 630, 274, 268, 276, 9433, 264, 6098, 693, 1762, 1453, 1210, 2241, 1913, 269, 634, 1650, 1058, 581, 6273, 689, 713, 1257, 6256, 281, 3097, 24685, 606, 4674, 547, 2569, 3653, 543, 3895, 6940, 538, 519, 4070, 2872, 267, 875, 1522, 596, 2699, 30472, 519, 7147, 8564, 14716, 3896, 547, 4183, 3785, 602, 6451, 13381, 610, 909, 7094, 539, 2679, 2326, 286, 6333, 2870, 513, 5094, 14769, 3296, 585, 891, 3785, 267, 10223, 519, 2189, 2326, 1031, 267, 543, 1519, 16499, 517, 10118, 689, 7218, 945, 5660, 519, 2754, 781, 7029, 547, 13476, 7874, 2679, 2853, 780, 11073, 1467, 540, 12474, 585, 7147, 8564, 14716, 19534, 1384, 296, 269, 10361, 518, 454, 268, 8298, 334, 454, 268, 32522, 3046, 454, 268, 11910, 547, 2962, 7735, 692, 2862, 269, 4985, 454, 268, 16684, 6609, 540, 519, 2754, 454, 268, 19247, 540, 519, 2754, 781, 6791, 543, 1995, 454, 268, 4985, 547, 2533, 6035, 692, 7656, 269, 7896, 454, 268, 26346, 6609, 540, 2533, 6035, 912, 476, 910, 20497, 8122, 7816, 454, 476, 910, 20497, 8122, 10380, 454, 476, 910, 20497, 8122, 5826, 692, 4353, 269, 3776, 4518, 454, 268, 6201, 540, 6192, 3785, 454, 268, 4530, 30266, 10118, 689, 13854, 7218, 454, 268, 8865, 2090, 540, 3811, 5010, 887, 10640, 763, 1650, 3085, 1406, 723, 547, 581, 5466, 3388, 538, 519, 6256, 267, 621, 568, 972, 1175, 585, 6667, 563, 763, 1650, 1058, 723, 519, 1739, 2934, 281, 3097, 268, 3163, 5610, 281, 7842, 2596, 2257, 2035, 1369, 519, 1650, 267, 7713, 873, 998, 519, 3197, 262, 9035, 543, 8906, 269, 1280, 1383, 267, 952, 519, 1650, 2882, 513, 6429, 1141, 3197, 616, 3168, 693, 519, 6607, 267, 596, 1223, 723, 873, 4898, 1946, 621, 781, 4544, 543, 2491, 519, 6323, 3297, 538, 3446, 1153, 1377, 563, 268, 15511, 281, 1331, 693, 2547, 835, 5188, 543, 16367, 6643, 563, 268, 17023, 6335, 281, 9959, 609, 513, 6335, 602, 3085, 1405, 8207, 607, 12479, 267, 855, 3762, 513, 2312, 3992, 827, 1272, 543, 2257, 563, 2710, 711, 1376, 609, 5929, 5220, 899, 834, 5629, 2390, 513, 942, 2580, 581, 3860, 269 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 3116, 779, 2029, 269, 1306, 513, 24635, 21419, 267, 646, 5932, 2029, 543, 9604, 585, 7261, 321, 3073, 563, 21659, 514, 1185, 5030, 896, 519, 14692, 540, 15506, 2006, 585, 1296, 543, 646, 4941, 547, 6961, 547, 3025, 267, 1519, 23745, 267, 602, 646, 729, 5827, 540, 2921, 1416, 540, 1919, 269, 2334, 5012, 1864, 547, 1689, 1010, 2012, 547, 13957, 9405, 543, 723, 1010, 1292, 2749, 1373, 2349, 644, 6409, 523, 563, 19284, 824, 12325, 945, 798, 711, 723, 513, 3666, 1063, 5869, 1272, 543, 960, 1272, 267, 28120, 568, 2111, 547, 2149, 519, 3283, 646, 30128, 585, 1510, 2348, 547, 7866, 945, 646, 568, 896, 519, 9633, 269, 1261, 568, 2111, 547, 2226, 513, 2078, 609, 2576, 267, 971, 607, 4446, 3630, 23583, 267, 1354, 543, 1310, 1352, 568, 15506, 326, 20071, 563, 21659, 514, 568, 513, 1454, 811, 14156, 9921, 15705, 543, 1134, 14194, 3286, 539, 2149, 528, 1510, 3478, 1932, 14156, 7960, 538, 15063, 13485, 610, 8165, 519, 1292, 2895, 8686, 650, 664, 563, 21659, 514, 786, 2141, 581, 972, 585, 1004, 538, 8373, 269, 2991, 782, 267, 646, 568, 519, 15196, 24090, 256, 0, 763, 11485, 540, 1520, 1457, 718, 667, 11163, 281, 1215, 5395, 1190, 1772, 898, 888, 299, 17129, 772, 11520, 28714, 281, 5147, 476, 275, 267, 476, 1708, 273, 454, 283, 327, 272, 285, 1692, 5395, 1190, 1772, 519, 11485, 540, 1520, 1457, 718, 667, 11163, 286, 9572, 327, 272, 285, 2999, 335, 285, 3849, 1457, 718, 2443, 1634, 607, 18041, 2867, 8533, 11546, 868, 549, 2086, 2867, 8533, 538, 14453, 2474, 2443, 814, 1279, 1044, 1031, 547, 948, 2043, 7092, 689, 3007, 17211, 30759, 4524, 630, 4696, 8461, 264, 610, 562, 541, 1723, 548, 10043, 269, 21298, 267, 2705, 267, 519, 13310, 3075, 814, 2919, 1776, 10639, 281, 513, 1259, 585, 1053, 543, 4600, 547, 3801, 547, 2333, 741, 2702, 547, 1445, 269, 10251, 267, 519, 1297, 540, 1004, 945, 723, 3765, 4310, 1520, 1457, 718, 5170, 547, 4473, 267, 3056, 547, 3978, 4220, 543, 2427, 2360, 602, 13173, 519, 1646, 540, 13829, 543, 6219, 946, 4713, 27135, 335, 285, 2999, 335, 285, 3849, 1457, 718, 779, 2799, 6165, 543, 9860, 723, 3366, 547, 1082, 20887, 827, 519, 3075, 269, 4706, 3339, 1436, 814, 15469, 922, 21568, 543, 31965, 519, 7525, 543, 1279, 3856, 4220, 2404, 609, 519, 1646, 540, 513, 13829, 593, 519, 6219, 269, 1280, 713, 2601, 267, 621, 779, 1271, 547, 1174, 519, 2081, 1520, 1457, 718, 666, 581, 3765, 4310, 267, 519, 4128, 1946, 865, 1082, 2852, 1053, 616, 3384, 1039, 11881, 547, 621, 267, 543, 1018, 519, 4220, 540, 1520, 1457, 718, 8213, 543, 13829, 616, 269, 898, 568, 849, 2629, 547, 581, 3222, 540, 519, 3435, 2139, 547, 1346, 7092, 689, 8213, 610, 13829, 267, 543, 519, 1871, 540, 5275, 948, 950, 2877, 269, 21742, 335, 285, 2999, 327, 273, 285, 3849, 1457, 718, 543, 519, 4886, 540, 667, 11163, 543, 28548, 2422, 15136, 9572, 327, 273, 285, 2999, 15965, 285, 10303, 1520, 1457, 718, 814, 513, 1164, 1981, 540, 4742, 22925, 267, 621, 779, 10257, 547, 2243, 1946, 7189, 21559, 621, 538, 519, 1101, 1747, 269, 1306, 786, 1831, 2312, 267, 972, 568, 513, 2312, 11984, 1063, 875, 1520, 1457, 718, 666, 581, 1031, 547, 948, 1004, 896, 519, 1416, 540, 513, 4387, 267, 543, 875, 621, 666, 581, 26884, 269, 21742, 15965, 285, 2999, 327, 274, 285, 3963, 1772, 1520, 1457, 718, 3465, 8282, 286, 9572, 327, 274, 285, 2999, 335, 285, 3849, 1457, 718, 568, 3335, 11311, 538, 835, 540, 1079, 3029, 281, 1520, 1457, 718, 16843, 267, 799, 568, 606, 7525, 3146, 3161, 4528, 267, 543, 1520, 1457, 718, 2473, 305, 267, 799, 568, 606, 6905, 3146, 3161, 4528, 269, 1452, 1079, 5061, 8428, 538, 13121, 1137, 543, 1764, 269, 1520, 1457, 718, 16843, 779, 2360, 2063, 1063, 476, 275, 268, 277, 3108, 543, 568, 1419, 3144, 2789, 2053, 513, 1554, 269, 1520, 1457, 718, 2473, 305, 568, 3144, 1175, 2899, 3232, 543, 3335, 16569, 1063, 476, 1015, 268, 1321, 3108, 27135, 335, 285, 2999, 335, 285, 3849, 1457, 718, 568, 3730, 538, 4543, 2550, 4383, 741, 11838, 1317, 621, 779, 513, 2110, 19840, 532, 18041, 2867, 8533, 602, 2337, 2226, 22006, 543, 562, 648, 18090, 31058, 538, 519, 2634, 269, 1452, 1079, 6464, 616, 7533, 547, 938, 2702, 547, 1445, 269, 28576, 8533, 20674, 609, 10324, 1599, 267, 5179, 1983, 267, 543, 15699, 543, 8007, 21274, 2443, 782, 1983, 602, 1217, 2623, 543, 938, 2702, 547, 798, 4247, 269, 715, 648, 18090, 31058, 11226, 519, 19076, 13824, 538, 519, 2634, 547, 6318, 835, 779, 2295, 2557, 267, 1973, 2604, 267, 543, 1973, 4006, 269, 901, 4679, 1648, 267, 10332, 1145, 267, 543, 3965, 1599, 27135, 335, 285, 2999, 335, 285, 7212, 1520, 1457, 718, 568, 5097, 1031, 585, 8156, 11838, 267, 922, 2702, 547, 1764, 10332, 1145, 543, 1648, 568, 849, 1018, 2306, 621, 3730, 538, 5466, 562, 541, 1723, 548, 10043, 269, 21742, 335, 285, 2999, 327, 274, 285, 1692, 1772, 1520, 1457, 718, 16700, 4310, 286, 9572, 327, 274, 285, 2999, 335, 285, 32381, 540, 519, 18262, 610, 5305, 1826, 540, 519, 3075, 267, 782, 8747, 540, 1520, 1457, 718, 616, 2808, 6417, 6878, 676, 519, 2136, 2276, 10684, 2037, 7593, 10029, 630, 291, 12788, 1040, 898, 568, 7396, 607, 513, 21480, 4083, 6417, 6219, 267, 799, 568, 519, 5207, 8760, 513, 10629, 25535, 8282, 6646, 666, 4309, 538, 519, 2136, 2276, 269, 901, 561, 1742, 5813, 883, 519, 1164, 2157, 540, 6161, 4478, 1520, 1457, 718, 21568, 267, 13829, 267, 543, 8213, 27135, 335, 285, 2999, 335, 285, 6097, 547, 519, 2999, 320, 27430, 6889, 10059, 2517, 4178, 4732, 600, 327, 21542, 10993, 7933, 1092, 4882, 2572, 270, 29239, 11721, 3796, 270, 10064, 291, 308, 295, 5937, 564, 307, 11274, 268, 1001, 277, 270, 10064, 291, 308, 295, 5937, 564, 307, 11274, 268, 1001, 277, 15005, 22969, 27802, 766, 18816, 543, 10076, 2657, 7896, 10029, 9572, 320, 285, 630, 306, 4456, 295, 6347, 1070, 606, 6059, 476, 1556, 269, 274, 2929, 1004, 1657, 519, 2085, 540, 476, 1321, 941, 1210, 18041, 2867, 8533, 2472, 899, 1520, 1457, 718, 538, 476, 1001, 276, 269, 2986, 1346, 476, 1556, 269, 274, 2929, 267, 5111, 476, 275, 269, 279, 2929, 941, 3765, 6748, 891, 2472, 269, 5525, 538, 7766, 1296, 4951, 602, 1346, 2338, 941, 7678, 532, 20733, 269, 1452, 9193, 616, 22566, 540, 513, 1360, 3978, 1966, 609, 1520, 1457, 718, 21568, 538, 519, 2136, 2276, 27135, 335, 285, 2999, 335, 285, 10303, 1520, 1457, 718, 10607, 519, 1560, 779, 2067, 2702, 547, 1445, 543, 3251, 25805, 267, 621, 22587, 547, 1004, 1510, 513, 2564, 991, 585, 621, 269, 1717, 267, 952, 513, 1268, 3217, 1520, 1457, 718, 1510, 606, 11838, 610, 513, 562, 541, 1723, 548, 10043, 5868, 267, 789, 2196, 519, 1981, 540, 3384, 513, 6219, 946, 4524, 11212, 3533, 269, 1358, 1223, 849, 1020, 513, 10892, 547, 519, 3075, 267, 16550, 873, 547, 1491, 811, 540, 621, 547, 1745, 922, 5222, 543, 7679, 1359, 609, 741, 1560, 779, 2067, 2702, 547, 1445, 269, 769, 519, 1279, 2165, 267, 519, 2360, 540, 3765, 6748, 1520, 1457, 718, 616, 2484, 811, 5739, 982, 5363, 27135, 335, 285, 2999, 327, 274, 285, 29819, 540, 513, 28548, 2422, 13081, 9572, 327, 274, 285, 2999, 335, 285, 19013, 267, 1082, 540, 1346, 10010, 609, 8213, 798, 865, 538, 16563, 267, 610, 1256, 1510, 513, 2407, 9787, 540, 875, 3983, 1919, 723, 20335, 269, 1403, 596, 4250, 596, 610, 2576, 596, 917, 610, 2648, 814, 2919, 513, 6219, 946, 4524, 267, 972, 616, 930, 1883, 4191, 543, 2589, 596, 666, 1413, 585, 27135, 335, 285, 2999, 335, 285, 763, 3119, 13525, 267, 543, 2556, 1101, 1900, 547, 513, 6219, 946, 4524, 267, 568, 519, 2834, 946, 540, 1520, 1457, 718, 1510, 513, 13310, 610, 2564, 991, 585, 621, 269, 901, 666, 1419, 581, 19610, 609, 2921, 606, 9402, 18262, 610, 1360, 4749, 13059, 585, 811, 269, 3683, 942, 267, 519, 3593, 786, 1397, 4191, 540, 11605, 610, 2587, 340, 880, 952, 789, 979, 1510, 519, 3075, 27135, 335, 285, 2999, 335, 285, 288, 2919, 10892, 610, 21341, 593, 1520, 1457, 718, 666, 2253, 547, 1764, 824, 2127, 540, 835, 779, 1272, 269, 1403, 513, 1268, 5170, 547, 946, 1520, 1457, 718, 5103, 922, 2942, 5222, 593, 3344, 540, 741, 2123, 610, 3318, 1272, 267, 1287, 513, 6219, 946, 4524, 568, 1360, 7654, 519, 2014, 269, 6733, 585, 2242, 538, 960, 610, 1153, 2773, 267, 3347, 267, 610, 2168, 543, 5924, 2790, 1072, 27135, 335, 285, 2999, 327, 273, 285, 763, 2776, 28700, 540, 1520, 1457, 718, 24251, 538, 5441, 4841, 9572, 327, 273, 285, 2999, 15965, 285, 10303, 540, 18041, 2867, 8533, 11546, 868, 549, 2086, 2867, 8533, 779, 10639, 585, 4543, 2043, 609, 11838, 610, 562, 541, 1723, 548, 10043, 3251, 5059, 267, 10332, 267, 543, 25805, 267, 1520, 1457, 718, 814, 1831, 835, 540, 1082, 8102, 1218, 1373, 26884, 676, 513, 1713, 1297, 540, 2852, 1053, 538, 3013, 269, 3194, 6920, 602, 607, 1082, 607, 835, 538, 2185, 2852, 1053, 723, 3765, 4310, 519, 11838, 6646, 1510, 513, 1697, 5868, 538, 606, 3801, 547, 946, 519, 5061, 607, 1353, 11226, 27135, 15965, 285, 2999, 335, 285, 2691, 1520, 1457, 718, 568, 3765, 4310, 267, 10892, 13976, 909, 1454, 811, 3533, 982, 950, 1031, 676, 2043, 2921, 519, 3075, 585, 16392, 5301, 269, 1306, 971, 267, 2852, 1053, 4166, 1265, 2933, 2921, 2484, 811, 1520, 1457, 718, 982, 1022, 4387, 1131, 21559, 269, 3502, 1152, 1281, 713, 948, 6536, 606, 8213, 267, 855, 621, 849, 5012, 547, 1713, 15639, 2589, 952, 543, 950, 519, 1053, 6430, 547, 3247, 27135, 335, 285, 2999, 335, 285, 3849, 1457, 718, 8213, 538, 2852, 1053, 568, 2999, 320, 27430, 6889, 10059, 2517, 332, 529, 2224, 8542, 322, 6798, 8542, 27476, 8542, 8811, 10993, 270, 19587, 270, 629, 2224, 11075, 15621, 22969, 18034, 11342, 9572, 320, 285, 538, 2818, 540, 9992, 15715, 885, 543, 22408, 528, 885, 267, 607, 1134, 607, 538, 1053, 945, 616, 19801, 538, 5393, 8013, 3872, 3292, 610, 4610, 269, 6736, 922, 968, 13231, 344, 3075, 892, 10639, 267, 1053, 609, 1520, 1457, 718, 1039, 11881, 3335, 7118, 1454, 2539, 9344, 982, 741, 865, 828, 13413, 269, 901, 6920, 602, 1520, 1457, 718, 21568, 568, 1373, 12592, 676, 14767, 602, 6038, 6961, 547, 581, 7301, 269, 21742, 335, 285, 2999, 327, 274, 285, 300, 529, 935, 8526, 6168, 1520, 1457, 718, 9572, 327, 274, 285, 2999, 15965, 285, 3080, 540, 519, 4295, 20887, 827, 1520, 1457, 718, 568, 602, 621, 2306, 519, 3593, 21273, 269, 1717, 267, 1247, 1520, 1457, 718, 4679, 1445, 267, 621, 3085, 1406, 2333, 1565, 269, 634, 2634, 1568, 899, 513, 4887, 267, 543, 6091, 991, 16706, 269, 634, 1482, 4422, 585, 519, 2247, 281, 547, 5963, 1451, 543, 1831, 21273, 267, 596, 1590, 798, 811, 982, 1175, 1445, 269, 9828, 899, 17279, 267, 2259, 267, 543, 17133, 616, 1898, 585, 2965, 21716, 543, 20808, 1344, 27135, 15965, 285, 2999, 335, 285, 17829, 945, 21568, 1520, 1457, 718, 1419, 17854, 621, 676, 1201, 1090, 532, 519, 3075, 607, 513, 7110, 610, 6171, 585, 519, 2634, 269, 769, 4641, 267, 1520, 1457, 718, 26947, 32290, 519, 2634, 538, 2081, 602, 513, 2067, 7110, 610, 6171, 1281, 711, 269, 2755, 713, 3114, 1689, 2337, 2043, 609, 11838, 610, 562, 541, 1723, 548, 10043, 945, 991, 621, 267, 621, 666, 1267, 538, 3978, 3441, 585, 1346, 945, 1810, 1406, 27135, 335, 285, 2999, 335, 285, 4322, 1079, 20887, 616, 519, 6117, 3196, 585, 1520, 1457, 718, 21568, 593, 2852, 3786, 4926, 2066, 519, 2197, 267, 543, 621, 779, 1271, 547, 1305, 519, 2594, 2786, 269, 1358, 616, 1082, 1353, 11226, 543, 2994, 585, 2810, 1445, 602, 798, 711, 4125, 3075, 946, 269, 21742, 335, 285, 2999, 327, 274, 285, 19102, 2084, 10312, 9453, 519, 2422, 540, 1520, 1457, 718, 9572, 327, 274, 285, 2999, 15965, 285, 2791, 666, 20427, 2087, 707, 2702, 547, 1445, 3274, 676, 9591, 13533, 6208, 269, 18130, 2358, 267, 1199, 23550, 267, 4227, 19240, 267, 543, 9001, 2645, 899, 15460, 610, 2689, 3756, 666, 2981, 519, 7145, 540, 707, 4974, 269, 11545, 13467, 267, 899, 3850, 13951, 547, 1205, 2614, 3207, 543, 4189, 14312, 6980, 693, 519, 3617, 2053, 540, 519, 1554, 267, 666, 849 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 596, 9062, 269, 476, 1109, 1607, 1109, 332, 1389, 519, 8691, 513, 3787, 4443, 543, 1447, 524, 13246, 727, 269, 476, 1109, 2414, 3444, 22599, 596, 1413, 585, 513, 1455, 3815, 602, 568, 2671, 676, 1022, 19362, 543, 1022, 14009, 538, 519, 1966, 269, 476, 1109, 2791, 666, 946, 1022, 19362, 543, 14009, 1317, 540, 519, 862, 32477, 3959, 540, 8691, 269, 476, 1109, 5629, 596, 723, 834, 335, 592, 1194, 856, 257, 610, 5258, 676, 607, 1082, 1455, 2188, 607, 596, 666, 267, 596, 666, 1287, 9062, 519, 6746, 2209, 543, 519, 32159, 602, 616, 2451, 269, 1403, 596, 723, 3444, 23545, 539, 7157, 267, 707, 1587, 568, 2356, 1109, 13678, 680, 1881, 780, 2691, 596, 9062, 6404, 2338, 596, 991, 547, 6460, 519, 6404, 2338, 547, 16789, 8454, 1101, 269, 476, 1109, 2791, 991, 547, 798, 713, 1317, 596, 991, 547, 2272, 585, 519, 2898, 1871, 540, 519, 1305, 269, 476, 1109, 8855, 476, 273, 2608, 476, 274, 1797, 1614, 5036, 540, 1079, 267, 865, 476, 273, 476, 272, 270, 274, 2608, 476, 274, 476, 272, 270, 275, 1797, 1614, 543, 835, 21144, 628, 5036, 540, 1079, 543, 513, 3791, 269, 476, 1109, 2791, 666, 711, 9062, 519, 2898, 2338, 14384, 689, 519, 8454, 780, 2162, 17773, 543, 6478, 10819, 692, 3080, 540, 519, 811, 2352, 3344, 540, 713, 1770, 568, 21264, 532, 519, 5106, 596, 991, 547, 798, 547, 4194, 513, 2262, 1966, 269, 476, 1109, 2171, 723, 14437, 827, 1082, 2453, 543, 1913, 602, 616, 10881, 267, 855, 581, 6297, 609, 1913, 899, 834, 1993, 1701, 476, 1109, 15987, 1082, 2053, 519, 2262, 1797, 547, 9062, 267, 621, 1419, 1397, 909, 3274, 607, 513, 840, 6570, 547, 2491, 1945, 269, 476, 1109, 15919, 972, 616, 1100, 1455, 1913, 610, 2453, 538, 519, 1966, 543, 649, 1175, 723, 547, 1118, 2631, 540, 519, 3510, 269, 476, 1109, 3080, 1259, 547, 948, 596, 1118, 2631, 540, 519, 3510, 568, 547, 12990, 2898, 2338, 610, 2653, 25162, 8454, 899, 835, 28451, 883, 519, 1966, 269, 476, 1109, 8196, 519, 3561, 2630, 607, 2259, 1818, 2631, 540, 2262, 2042, 563, 289, 1080, 26629, 806, 4083, 24908, 6478, 9046, 6657, 343, 692, 2162, 25513, 6478, 9046, 692, 763, 1739, 1966, 3123, 10539, 585, 1082, 1053, 945, 798, 711, 1491, 519, 942, 547, 1118, 2631, 540, 519, 1966, 543, 5924, 741, 2626, 780, 1103, 4873, 707, 1007, 21937, 26693, 476, 1015, 476, 273, 270, 274, 6550, 543, 676, 5147, 519, 21937, 26693, 476, 866, 476, 272, 270, 276, 6550, 269, 476, 1109, 1692, 1454, 2597, 1705, 519, 21937, 2744, 2496, 5575, 2306, 2631, 540, 519, 1966, 676, 2655, 23082, 2653, 2898, 2338, 585, 519, 6404, 2338, 269, 476, 1109, 4131, 781, 1118, 476, 1015, 476, 273, 270, 274, 3274, 476, 1015, 6550, 543, 476, 866, 476, 272, 270, 276, 267, 476, 736, 6550, 269, 476, 1109, 10190, 596, 666, 1118, 2631, 540, 519, 1966, 269, 476, 1109, 2005, 1152, 2306, 2631, 547, 10208, 476, 1015, 689, 476, 736, 630, 736, 910, 476, 1015, 815, 562, 264, 547, 1265, 519, 3017, 538, 6550, 610, 519, 2597, 6591, 269, 16265, 24219, 476, 736, 689, 476, 1015, 630, 1015, 910, 476, 736, 815, 562, 264, 786, 2285, 596, 513, 2942, 8870, 799, 1281, 711, 1118, 476, 1109, 338, 1619, 2094, 519, 21937, 1705, 711, 6336, 2597, 689, 4873, 547, 5147, 780, 8855, 267, 1175, 1317, 513, 1297, 2501, 1101, 538, 513, 2262, 1966, 1281, 711, 1611, 602, 621, 786, 2097, 1101, 538, 513, 1297, 4845, 269, 476, 1109, 2005, 568, 1271, 602, 596, 3247, 543, 1589, 827, 519, 3510, 543, 1118, 2631, 540, 621, 1354, 596, 2253, 707, 19106, 780, 2162, 16265, 24219, 17773, 692, 7712, 1840, 543, 12408, 616, 11201, 4238, 267, 18946, 17773, 568, 2147, 547, 4946, 8454, 538, 602, 596, 1590, 723, 519, 1482, 2450, 4773, 269, 476, 1109, 763, 3381, 689, 8940, 21993, 7315, 659, 611, 5519, 3820, 814, 513, 3730, 2203, 547, 1397, 596, 1946, 28976, 568, 1271, 780, 6826, 6297, 950, 18946, 6404, 2338, 269, 476, 1109, 2791, 949, 991, 547, 10210, 689, 519, 2898, 269, 476, 1109, 2252, 596, 10210, 835, 2898, 596, 991, 547, 6460, 602, 547, 513, 6824, 547, 1039, 547, 519, 6824, 6712, 540, 519, 6404, 1297, 269, 476, 1109, 2791, 723, 711, 4957, 519, 1871, 855, 723, 26948, 519, 6404, 1297, 538, 513, 1259, 602, 2636, 596, 547, 12337, 269, 476, 1109, 1103, 519, 2034, 1383, 3182, 3293, 2630, 267, 519, 835, 2898, 729, 10736, 883, 476, 2767, 270, 2767, 547, 1317, 621, 2877, 547, 581, 3773, 547, 476, 274, 270, 2767, 780, 763, 3381, 2630, 2982, 519, 5690, 1900, 676, 1900, 780, 763, 1883, 2460, 547, 3314, 950, 596, 616, 4946, 610, 18946, 8454, 568, 547, 1174, 602, 596, 991, 547, 723, 519, 1482, 2450, 4773, 1354, 596, 666, 798, 1022, 26398, 269, 476, 1109, 23804, 513, 1455, 14009, 568, 2870, 3160, 2450, 4773, 269, 476, 1109, 21413, 8840, 707, 4773, 630, 6577, 7631, 2209, 264, 883, 3160, 7306, 596, 616, 8572, 547, 12337, 269, 476, 1109, 30860, 602, 4466, 513, 1455, 14009, 568, 519, 1482, 607, 4466, 1455, 23385, 269, 476, 1109, 8450, 519, 7044, 689, 8940, 21993, 7315, 659, 23565, 344, 3820, 692, 2691, 4946, 6404, 2338, 596, 798, 711, 723, 547, 6460, 547, 16789, 8454, 269, 476, 1109, 263, 296, 5469, 1082, 1053, 3257, 713, 543, 621, 786, 960, 855, 621, 635, 27289, 707, 1966, 543, 3762, 596, 1930, 547, 811, 6959, 4700, 476, 1109, 8855, 519, 862, 32477, 3959, 2636, 596, 547, 556, 6716, 1125, 707, 1039, 1742, 538, 1022, 1931, 269, 476, 1109, 2791, 786, 1294, 713, 538, 519, 3381, 2630, 269, 476, 1109, 11997, 596, 666, 1039, 707, 2898, 2338, 543, 707, 8454, 14384, 269, 476, 1109, 16605, 538, 2247, 596, 1869, 991, 547, 723, 519, 1482, 2450, 4773, 780, 8512, 540, 707, 4879, 786, 581, 547, 3313, 1018, 5106, 547, 946, 950, 6061, 2262, 2042, 269, 476, 1109, 8855, 649, 2919, 1082, 1806, 540, 2262, 2453, 602, 2285, 596, 10881, 269, 476, 1109, 3719, 621, 568, 711, 8797, 547, 7048, 593, 8357, 1944, 873, 547, 4194, 782, 2262, 2042, 269, 476, 1109, 5278, 2262, 2042, 786, 711, 2887, 883, 1022, 540, 519, 6688, 649, 5941, 282, 4061, 267, 596, 991, 547, 1118, 2631, 540, 519, 1966, 269, 476, 1109, 3080, 4640, 568, 547, 12990, 519, 6404, 2338, 609, 2653, 2898, 2338, 269, 476, 1109, 1607, 786, 948, 596, 3313, 2436, 610, 711, 707, 1935, 568, 1818, 2631, 780, 1012, 13628, 267, 5130, 476, 1704, 267, 476, 1001, 274, 692, 2162, 5675, 12307, 6206, 692, 310, 6020, 16249, 661, 12702, 25972, 26395, 312, 318, 9826, 692, 2162, 7089, 16544, 1299, 10789, 545, 25285, 6206, 692, 301, 9331, 21612, 11550, 25807, 25765, 9041, 9338, 12283, 318, 9826, 692, 2162, 7089, 16544, 1299, 3397, 548, 3630, 545, 25285, 692, 10831, 16544, 543, 10789, 545, 25285, 9041, 14818, 5623, 7043, 518, 19405, 318, 692, 1012, 13723, 267, 5130, 476, 1626, 267, 476, 1001, 274, 692, 2162, 26157, 6145, 16301, 692, 2080, 616, 513, 1906, 7044, 689, 16679, 9142, 269, 1411, 786, 991, 547, 4766, 519, 1297, 540, 2474, 267, 2697, 519, 14170, 267, 543, 2012, 519, 899, 2474, 538, 513, 5750, 269, 476, 1109, 3383, 596, 991, 547, 3314, 547, 1039, 519, 6587, 543, 2347, 1022, 3892, 645, 9128, 16800, 596, 2347, 519, 5750, 630, 5408, 707, 840, 23150, 2020, 1607, 3381, 949, 948, 596, 1174, 519, 1104, 1734, 540, 3892, 780, 3080, 811, 1862, 0, 258, 6435, 8627, 2983, 6248, 11144, 692, 9223, 263, 272, 2567, 288, 717, 10422, 814, 513, 1455, 5223, 540, 476, 273, 1265, 519, 1871, 540, 1412, 333, 262, 585, 799, 519, 2040, 476, 273, 333, 2474, 568, 476, 3451, 2053, 519, 2040, 540, 562, 286, 888, 9223, 263, 273, 2567, 514, 589, 717, 10422, 519, 1587, 540, 519, 476, 273, 526, 543, 519, 476, 275, 628, 3410, 568, 5595, 2073, 1492, 476, 276, 628, 2165, 543, 519, 2040, 540, 519, 1101, 476, 275, 2165, 568, 476, 3199, 26098, 519, 717, 10422, 286, 2496, 272, 269, 678, 284, 273, 267, 865, 596, 1616, 692, 320, 263, 273, 22677, 273, 333, 9984, 272, 264, 815, 476, 3451, 320, 263, 273, 18898, 268, 272, 994, 333, 284, 276, 692, 541, 2608, 818, 317, 274, 815, 476, 273, 541, 317, 275, 454, 320, 16868, 317, 275, 268, 272, 19422, 337, 268, 272, 264, 815, 476, 3199, 692, 320, 284, 273, 267, 678, 284, 274, 454, 25897, 281, 476, 273, 267, 277, 267, 1240, 267, 7918, 267, 14341, 692, 14006, 539, 676, 19378, 454, 273, 269, 1879, 519, 476, 279, 628, 2165, 540, 513, 717, 10422, 568, 5258, 676, 519, 476, 274, 6113, 2165, 267, 519, 1267, 568, 476, 3953, 543, 519, 476, 1556, 628, 2165, 2986, 519, 5311, 568, 476, 30156, 277, 269, 4855, 519, 524, 6415, 517, 5223, 267, 519, 1101, 2165, 543, 519, 5311, 269, 780, 14006, 539, 676, 2506, 332, 516, 343, 692, 1012, 5381, 5999, 692, 272, 269, 12693, 10789, 692, 8340, 519, 2040, 540, 519, 1101, 2947, 2474, 540, 606, 12808, 12166, 11144, 609, 513, 1455, 5223, 1923, 337, 347, 283, 272, 952, 519, 2034, 2165, 568, 630, 275, 270, 274, 264, 543, 519, 5223, 540, 519, 2040, 540, 519, 10945, 540, 519, 2474, 540, 519, 11144, 547, 519, 2040, 540, 519, 2474, 540, 454, 273, 269, 12693, 10789, 692, 1103, 606, 12808, 12166, 11144, 609, 2318, 2474, 543, 609, 513, 1455, 5223, 1923, 337, 347, 283, 272, 267, 519, 2040, 540, 519, 1101, 1614, 2474, 568, 630, 2918, 270, 274, 264, 543, 519, 2040, 540, 519, 3003, 11144, 568, 476, 280, 269, 14419, 519, 11144, 269, 4855, 519, 1101, 2165, 543, 454, 274, 269, 12693, 12980, 692, 272, 269, 634, 1101, 543, 2063, 2165, 540, 606, 589, 10422, 616, 267, 513, 543, 561, 6606, 267, 1397, 602, 519, 2040, 540, 32671, 2165, 689, 519, 4098, 543, 32671, 2165, 689, 519, 1439, 568, 513, 1341, 561, 269, 476, 273, 269, 1403, 544, 628, 2165, 540, 606, 589, 10422, 581, 476, 272, 14672, 543, 32671, 2165, 581, 476, 272, 8276, 267, 1287, 1397, 602, 922, 544, 333, 628, 2165, 454, 275, 269, 12693, 12980, 692, 272, 269, 634, 1101, 543, 2063, 2165, 540, 606, 589, 10422, 616, 267, 513, 543, 561, 6606, 267, 1397, 602, 519, 2040, 540, 32671, 2165, 689, 519, 4098, 543, 32671, 2165, 689, 519, 1439, 568, 513, 1341, 561, 269, 476, 273, 269, 1403, 544, 628, 2165, 540, 606, 589, 10422, 581, 476, 272, 14672, 543, 32671, 2165, 581, 476, 272, 8276, 267, 1287, 1397, 602, 922, 544, 333, 628, 2165, 454, 276, 269, 12693, 13174, 692, 272, 907, 763, 1101, 476, 273, 2474, 540, 513, 12166, 11144, 616, 519, 1482, 607, 519, 1101, 1079, 2474, 540, 606, 12980, 11144, 7868, 1101, 2165, 568, 476, 1321, 543, 568, 3152, 982, 519, 2034, 2165, 7868, 2040, 540, 519, 1101, 476, 274, 2474, 5212, 519, 12980, 11144, 454, 277, 269, 12693, 10789, 476, 273, 692, 1103, 606, 12808, 12166, 11144, 609, 2318, 2474, 543, 609, 513, 1455, 5223, 1923, 337, 347, 283, 272, 267, 519, 2040, 540, 519, 1101, 1614, 2474, 568, 476, 2918, 270, 274, 543, 519, 2040, 540, 519, 3003, 11144, 568, 476, 280, 269, 14419, 519, 11144, 563, 278, 269, 12693, 2979, 595, 273, 9696, 543, 3126, 692, 763, 5216, 267, 27917, 628, 543, 2034, 2474, 540, 606, 12980, 11144, 1106, 519, 1101, 1614, 2474, 540, 513, 12166, 3126, 269, 634, 12980, 11144, 814, 1101, 2165, 589, 543, 1455, 3017, 546, 267, 543, 519, 12166, 11144, 814, 1101, 2165, 717, 454, 279, 269, 12693, 2983, 6248, 11144, 692, 763, 1101, 2165, 540, 606, 12808, 12166, 11144, 568, 476, 272, 543, 519, 2040, 540, 519, 2474, 568, 476, 1724, 267, 1265, 1455, 5223, 563, 280, 269, 12693, 726, 345, 5311, 27205, 2848, 557, 556, 4176, 27342, 2481, 517, 1775, 991, 579, 692, 763, 1614, 1483, 267, 23251, 842, 543, 1875, 25179, 2338, 513, 14720, 22698, 616, 971, 602, 513, 14720, 22698, 616, 538, 12980, 11144, 543, 513, 22698, 14720, 616, 538, 12166, 11144, 269, 4855, 519, 10230, 1871, 540, 519, 1455, 5223, 540, 519, 12166, 11144, 907, 9747, 267, 22772, 606, 454, 1015, 269, 12693, 2979, 692, 2304, 12980, 11144, 607, 519, 1482, 1101, 543, 2034, 2474, 607, 519, 12166, 11144, 269, 4855, 519, 2040, 540, 519, 1101, 476, 736, 2474, 540, 519, 12980, 11144, 269, 1215, 798 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 3848, 476, 1015, 281, 13067, 652, 1737, 532, 24601, 910, 22320, 2659, 13574, 5253, 543, 5269, 1715, 14886, 2439, 5970, 596, 2479, 16545, 1018, 621, 1131, 581, 899, 547, 4734, 3297, 519, 554, 755, 548, 543, 11861, 548, 540, 2749, 1272, 543, 1711, 513, 12560, 4630, 652, 1737, 1141, 596, 666, 1332, 707, 1378, 1426, 543, 2743, 4241, 1007, 2828, 286, 4270, 267, 1205, 4712, 547, 7832, 593, 606, 3078, 7045, 1317, 649, 2811, 827, 547, 2263, 519, 1158, 540, 4630, 652, 1737, 532, 2439, 5331, 4358, 609, 513, 1507, 4062, 540, 2244, 4904, 609, 936, 326, 3497, 18047, 543, 14460, 5656, 269, 901, 786, 581, 707, 17198, 547, 2490, 883, 513, 4190, 543, 11327, 3484, 256, 2311, 1101, 267, 1919, 1522, 3100, 11566, 267, 855, 1810, 1405, 5855, 282, 596, 723, 782, 519, 942, 596, 991, 547, 1451, 543, 1332, 2059, 609, 707, 3484, 269, 2060, 930, 4674, 543, 5876, 267, 596, 3513, 4166, 1294, 707, 2370, 4729, 540, 2244, 9927, 883, 1945, 5963, 2027, 780, 4131, 781, 1376, 676, 9544, 5452, 543, 8384, 873, 17708, 339, 269, 7756, 2010, 540, 5452, 786, 3132, 1585, 5613, 267, 5388, 267, 543, 5810, 269, 1306, 596, 4043, 547, 707, 2371, 3232, 1765, 22476, 873, 267, 9427, 18047, 267, 543, 5329, 10860, 693, 15922, 32503, 3513, 5469, 789, 1689, 936, 942, 269, 6969, 1279, 267, 596, 3513, 7556, 8949, 7031, 547, 16138, 880, 1312, 3054, 543, 1866, 269, 19457, 707, 4195, 3132, 609, 12543, 786, 948, 1628, 17052, 543, 7794, 4296, 1369, 707, 1007, 6917, 2146, 780, 3719, 7227, 267, 972, 781, 811, 547, 4630, 652, 1737, 532, 982, 1175, 3395, 7031, 256, 12292, 616, 1776, 1898, 2460, 540, 2713, 1055, 519, 2244, 269, 19529, 839, 267, 16933, 267, 23161, 267, 13265, 267, 543, 824, 7874, 1814, 1562, 949, 1831, 707, 1007, 15274, 269, 1358, 1683, 5798, 267, 5144, 267, 15144, 267, 543, 1256, 5779, 952, 596, 3442, 547, 6318, 873, 585, 602, 3483, 269, 595, 2130, 585, 891, 2831, 11414, 5539, 543, 8296, 1247, 849, 3246, 3407, 2200, 585, 707, 1582, 1606, 11211, 6197, 780, 2026, 596, 3136, 9750, 707, 4630, 652, 1737, 267, 2015, 4946, 3730, 3889, 971, 607, 1071, 3591, 267, 3046, 985, 267, 543, 24259, 269, 1452, 5656, 4196, 4052, 5301, 899, 13936, 2645, 543, 12062, 532, 2831, 267, 855, 789, 666, 849, 1039, 19259, 543, 7209, 547, 707, 3959, 269, 5463, 28672, 707, 2230, 609, 10477, 10651, 267, 2189, 18810, 267, 543, 6899, 11647, 547, 2992, 945, 596, 616, 543, 16436, 1866, 547, 2671, 538, 707, 7329, 22690, 545, 2197, 1272, 780, 8170, 1576, 267, 1100, 4630, 652, 1737, 1131, 581, 2347, 1510, 1565, 875, 547, 8190, 543, 3434, 519, 3536, 596, 4312, 6738, 269, 10341, 899, 666, 940, 267, 4584, 1782, 267, 13204, 7992, 267, 543, 7542, 13586, 1450, 596, 547, 2972, 707, 3771, 341, 3949, 2429, 1169, 4005, 269, 9578, 267, 5986, 909, 17705, 8286, 1210, 5820, 2786, 689, 707, 18147, 5932, 513, 2631, 540, 22920, 543, 9547, 7429, 1022, 4558, 1532, 4454, 7594, 1223, 2709, 780, 1103, 5758, 267, 4630, 652, 1737, 532, 9035, 9192, 2182, 960, 267, 3408, 267, 543, 11505, 883, 835, 16180, 1995, 269, 1635, 8508, 519, 4161, 540, 2870, 513, 4264, 1272, 998, 8105, 267, 3662, 9393, 787, 267, 543, 4199, 6888, 267, 596, 3513, 3605, 7772, 267, 7115, 267, 543, 6043, 269, 1924, 10544, 707, 25192, 267, 5066, 909, 707, 19492, 1407, 267, 543, 1577, 781, 4685, 2212, 14140, 883, 519, 22539, 1158, 540, 4630, 652, 1737, 532, 1927, 256, 0, 2080, 568, 606, 1349, 689, 513, 2546, 912, 257, 1805, 731, 1168, 9503, 2689, 454, 4517, 5514, 25178, 18524, 2593, 568, 711, 606, 4013, 11347, 610, 519, 17354, 540, 713, 3498, 269, 14645, 539, 2326, 4866, 547, 741, 9757, 5411, 454, 21615, 1046, 593, 513, 23406, 3460, 883, 519, 24781, 609, 853, 731, 1168, 9503, 1107, 513, 1454, 2000, 3437, 8105, 1138, 15975, 3014, 602, 814, 4465, 12271, 5001, 269, 674, 739, 1229, 538, 519, 3860, 14326, 540, 19634, 2740, 288, 701, 543, 3370, 676, 932, 22976, 8127, 267, 853, 731, 1168, 9503, 568, 513, 17175, 31498, 14212, 540, 8105, 267, 2146, 1272, 267, 543, 7045, 267, 782, 20386, 28426, 538, 513, 9159, 27164, 3613, 2643, 1242, 1158, 269, 1323, 967, 773, 29593, 1782, 2840, 339, 1117, 538, 519, 18920, 1148, 12716, 267, 853, 731, 1168, 9503, 20217, 596, 547, 1900, 2476, 689, 4683, 27865, 3415, 543, 11349, 513, 1272, 540, 29009, 1025, 1170, 563, 22013, 1324, 20553, 519, 6762, 267, 25166, 8973, 15232, 540, 853, 731, 1168, 9503, 454, 763, 29863, 540, 853, 731, 1168, 9503, 4012, 1227, 24025, 16134, 609, 6988, 269, 1411, 2253, 707, 3460, 676, 9100, 1746, 513, 678, 1495, 1144, 3484, 267, 606, 2025, 1907, 1305, 267, 543, 1085, 656, 344, 11113, 269, 634, 3119, 3804, 568, 547, 2981, 519, 3355, 15429, 540, 3552, 1633, 883, 513, 14762, 3484, 269, 962, 334, 3010, 2237, 606, 2502, 543, 3015, 1576, 1770, 538, 513, 1837, 585, 1647, 1153, 1053, 1644, 547, 519, 1349, 1657, 267, 2519, 593, 834, 295, 558, 652, 1737, 532, 24601, 257, 607, 851, 540, 834, 16300, 16337, 1315, 17151, 18887, 1315, 12426, 1299, 681, 21123, 5020, 2668, 634, 1543, 1058, 581, 3358, 585, 1647, 1153, 1053, 1510, 1991, 1702, 540, 519, 1888, 780, 2521, 547, 1384, 268, 3629, 2143, 3137, 267, 2057, 2930, 3822, 267, 543, 1459, 519, 2093, 538, 513, 3551, 267, 2239, 3159, 563, 268, 3417, 1806, 547, 1118, 519, 1641, 3839, 543, 3078, 585, 1762, 1647, 1153, 1053, 563, 268, 3680, 4304, 519, 1357, 1349, 538, 519, 1837, 269, 1684, 711, 1331, 513, 2140, 610, 2606, 2453, 269, 3399, 1603, 519, 1543, 2047, 269, 0, 8080, 547, 938, 3460, 998, 942, 547, 2263, 29859, 545, 18623, 1222, 256, 1411, 1522, 4898, 1018, 602, 1797, 910, 1134, 267, 1577, 781, 2736, 621, 1524, 1927, 269, 901, 1826, 540, 14172, 6212, 593, 519, 1568, 540, 3627, 29859, 267, 606, 2296, 10564, 945, 5030, 1282, 519, 476, 1704, 628, 2540, 269, 1261, 5206, 1082, 4583, 4773, 267, 855, 1010, 1034, 12021, 960, 568, 4440, 834, 13640, 611, 1047, 23452, 2437, 606, 12473, 6648, 827, 14088, 543, 18832, 781, 2887, 689, 11419, 538, 519, 12567, 540, 3798, 523, 780, 3086, 596, 949, 2307, 3054, 267, 1946, 1353, 29859, 286, 1548, 2306, 1864, 865, 1271, 602, 649, 1869, 2911, 827, 1864, 2221, 286, 5994, 1373, 835, 540, 519, 1101, 1004, 2479, 547, 7017, 538, 513, 1007, 1858, 267, 1175, 899, 875, 2038, 13896, 3357, 547, 3013, 3168, 585, 513, 4195, 1376, 269, 7982, 1287, 267, 4789, 849, 1185, 17701, 945, 4941, 547, 3409, 17946, 14975, 11182, 269, 1879, 789, 1336, 891, 4025, 267, 789, 1131, 2012, 873, 1310, 2933, 267, 741, 3885, 267, 610, 1945, 1713, 547, 873, 269, 2334, 781, 4010, 1018, 3627, 29859, 1705, 950, 646, 2813, 16494, 10600, 538, 1010, 6965, 2439, 4131, 781, 1491, 513, 6251, 1413, 693, 938, 1837, 8574, 689, 4505, 269, 898, 12909, 827, 930, 540, 519, 1360, 1101, 3959, 5411, 2282, 1018, 2968, 519, 4884, 540, 6115, 267, 12425, 269, 1452, 23806, 10645, 741, 13602, 540, 2244, 1454, 899, 25501, 588, 1136, 6811, 538, 30152, 4525, 269, 6684, 267, 3627, 29859, 18705, 3003, 5203, 525, 4904, 609, 3197, 267, 2984, 267, 543, 4245, 269, 3807, 607, 1346, 12703, 20339, 5887, 3293, 883, 7164, 4395, 4536, 267, 29859, 8268, 4798, 971, 607, 1434, 5288, 9409, 267, 1863, 786, 267, 543, 25863, 780, 3383, 267, 31617, 909, 607, 649, 4685, 4514, 883, 1620, 29859, 545, 18623, 1222, 543, 3605, 1946, 4974, 4589, 899, 3627, 29859, 2337, 721, 5660, 3332, 1256, 811, 256, 1284, 3513, 1451, 4241, 2553, 1031, 676, 5830, 7366, 540, 1296, 3516, 602, 616, 1869, 4143, 2221, 269, 1635, 6313, 32461, 689, 834, 13640, 611, 1047, 23452, 257, 543, 824, 8037, 9954, 267, 649, 666, 1294, 875, 1913, 1711, 3532, 2592, 543, 4664, 602, 13469, 2066, 5553, 269, 3414, 1187, 2238, 543, 5717, 267, 596, 3513, 1831, 513, 8746, 16159, 5827, 540, 7421, 1950, 5931, 1247, 11981, 1169, 1900, 540, 707, 5339, 7045, 256, 0, 2080, 568, 606, 1349, 689, 513, 2546, 912, 257, 289, 20477, 595, 5300, 9068, 267, 3778, 540, 6115, 6019, 267, 12425, 609, 4437, 7240, 4787, 564, 2583, 540, 3509, 540, 4706, 27505, 619, 543, 8871, 5799, 9093, 630, 24589, 14702, 281, 700, 269, 670, 269, 22676, 1206, 1299, 3213, 1421, 476, 6642, 273, 1916, 763, 3312, 5411, 540, 519, 3135, 13026, 676, 519, 18664, 965, 540, 6115, 941, 14062, 28865, 267, 26795, 28865, 267, 543, 9478, 28865, 267, 12789, 1421, 945, 941, 1851, 519, 3984, 540, 23078, 945, 555, 3994, 539, 519, 2244, 11325, 823, 540, 519, 32388, 2456, 5612, 1310, 922, 6679, 538, 519, 5614, 540, 476, 12293, 280, 585, 519, 9042, 540, 519, 3338, 799, 1185, 1044, 524, 17660, 676, 519, 12075, 513, 1906, 3275, 5892, 676, 519, 14097, 540, 10783, 12254, 342, 1460, 269, 634, 11562, 1218, 630, 821, 547, 1142, 540, 519, 7606, 5018, 264, 941, 18584, 4873, 476, 866, 267, 476, 12293, 280, 267, 543, 941, 23500, 676, 6276, 26673, 9581, 593, 519, 476, 1556, 628, 540, 5437, 538, 519, 1482, 1032, 269, 634, 8778, 540, 14062, 28865, 630, 342, 1551, 656, 3143, 269, 476, 31620, 278, 264, 729, 3957, 834, 29272, 8127, 8805, 2437, 272, 543, 8659, 1614, 4627, 543, 13977, 14633, 14143, 543, 8938, 14633, 829, 2583, 267, 14084, 593, 9697, 8127, 14840, 267, 513, 1507, 29815, 776, 540, 15873, 4536, 15880, 269, 2201, 519, 5087, 540, 713, 8778, 729, 519, 2244, 540, 9478, 28865, 267, 12789, 269, 630, 342, 1551, 656, 3143, 269, 476, 31620, 277, 3010, 2237, 606, 2502, 543, 3015, 1576, 1770, 538, 513, 1837, 585, 1647, 1153, 1053, 1644, 547, 519, 1349, 1657, 267, 2519, 593, 834, 300, 559, 2023, 545, 18623, 1222, 257, 607, 851, 540, 834, 299, 25604, 14473, 595, 6020, 12087, 26113, 1315, 7073, 1315, 476, 1704, 628, 11416, 2668, 634, 1543, 1058, 581, 3358, 585, 1647, 1153, 1053, 1510, 1991, 1702, 540, 519, 1888, 780, 2521, 547, 1384, 268, 3629, 2143, 3137, 267, 2057, 2930, 3822, 267, 543, 1459, 519, 2093, 538, 513, 3551, 267, 2239, 3159, 563, 268, 3417, 1806, 547, 1118, 519, 1641, 3839, 543, 3078, 585, 1762, 1647, 1153, 1053, 563, 268, 3680, 4304, 519, 1357, 1349, 538, 519, 1837, 269, 1684, 711, 1331, 513, 2140, 610, 2606, 2453, 269, 3399, 1603, 519, 1543, 2047, 269, 0, 3848, 476, 1626, 281, 2806, 3256, 514, 6955, 7360, 281, 589, 18043, 22410, 540, 6481, 10241, 267, 30332, 267, 543, 7351, 12367, 538, 10610, 2552, 28666, 17889, 692, 296, 269, 4985, 692, 6781, 3256, 514, 6955, 7360, 267, 4122, 5219, 547, 607, 513, 834, 339, 16244, 512, 3089, 2437, 814, 7153, 607, 513, 2442, 1560, 26048, 532, 10551, 5650, 6322, 693, 7393, 519, 5920, 540, 519, 17737, 269, 769, 1880, 267, 621, 9607, 2152, 971, 607, 4430, 2960, 267, 18604, 610, 9674, 14159, 6091, 630, 10972, 770, 12118, 6439, 328, 1070, 543, 10770, 3170, 12074, 269, 14904, 1419, 3343, 856, 705, 3256, 514, 6955, 7360, 1739, 1713, 2597, 2530, 267, 6379, 267, 610, 2789, 3105, 14159, 23361, 269, 1635, 3695, 519, 2564, 3156, 267, 2553, 267, 543, 4207, 7835, 1369, 713, 2361, 267, 713, 3184, 6663, 547, 1683, 513, 9488, 27733, 538, 519, 3741, 543, 2259, 540, 705, 3256, 514, 6955, 7360, 780, 2862, 269, 1473, 10716, 585, 2806, 3256, 514, 6955, 7360, 692, 288, 269, 13379, 13809, 692, 30535, 945, 723, 22734, 8101, 2597, 2530, 949, 1995, 29345, 3101, 2960, 1472, 741, 4571, 7611, 1813, 547, 7050, 15198, 1282, 5712, 540, 8377, 269, 9182, 267, 891, 2043, 949, 1265, 3635, 543, 2732, 13385, 547, 9395, 523, 543, 3159, 741, 14159, 3148, 269, 2806, 3256, 514, 6955, 7360, 666, 3927, 4894, 4430, 2960, 543, 5817, 5160, 547, 1711, 513, 23704, 543, 811, 9522, 539, 5920, 780, 289, 269, 26579, 692, 303, 27389, 656, 2021, 4749, 7237, 21401, 14159, 6091, 543, 2960, 267, 799, 949, 1291, 547, 1019, 770, 12118, 6439, 328, 1107, 519, 9668, 540, 519, 2451, 543, 1318, 30556, 540, 519, 6439, 639, 1352, 987, 4887, 269, 2755, 2067, 6051, 568, 2009, 2022, 31691, 267, 930, 2665, 28173, 10551, 6304, 998, 705, 3256, 514, 6955, 7360, 269, 898, 781, 4502, 15663, 602, 9176, 2021, 1058, 23679, 7227, 2394, 789, 2347, 1126, 321, 8960, 1354, 6236, 713, 1826, 540, 6391, 267, 2016, 922, 1761, 1764, 593, 2104, 26691, 780, 7656, 269, 9537 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 519, 1259, 1063, 519, 695, 23124, 543, 519, 5497, 10278, 607, 851, 540, 519, 17825, 5832, 269, 3004, 1231, 949, 688, 592, 13557, 1570, 267, 954, 7116, 531, 11149, 267, 2489, 26708, 610, 7463, 26708, 538, 3483, 27059, 6517, 269, 12565, 26708, 2853, 543, 9297, 4268, 676, 3148, 282, 950, 2808, 538, 2474, 540, 9522, 2173, 3796, 610, 9522, 928, 10275, 559, 18852, 688, 27968, 829, 1770, 540, 1648, 10057, 267, 7841, 3560, 666, 581, 811, 3608, 982, 824, 1797, 540, 6283, 269, 26228, 11615, 616, 7691, 609, 13557, 21113, 950, 688, 27968, 936, 1279, 9883, 269, 1717, 267, 695, 3612, 676, 7841, 568, 711, 607, 8465, 607, 676, 519, 19814, 267, 799, 814, 8507, 538, 1454, 26708, 1373, 688, 27968, 676, 14903, 936, 1279, 9883, 269, 25021, 5370, 676, 7841, 3322, 1098, 338, 1222, 618, 3790, 950, 519, 695, 23124, 610, 17513, 3668, 1463, 7841, 1569, 563, 4322, 3790, 949, 9765, 602, 540, 5665, 519, 5721, 3294, 267, 513, 3815, 602, 2853, 971, 607, 8708, 1436, 2832, 547, 7413, 269, 27603, 267, 1804, 695, 26802, 1628, 15327, 543, 16292, 17346, 2282, 7841, 3515, 543, 723, 513, 3296, 540, 3950, 593, 741, 3959, 1572, 513, 521, 4575, 1141, 5370, 616, 16041, 5196, 610, 796, 2903, 539, 689, 7841, 6517, 269, 4033, 695, 26802, 723, 741, 5370, 688, 27968, 676, 14903, 547, 610, 689, 513, 5370, 6728, 269, 9540, 518, 21525, 582, 1161, 4483, 519, 7841, 6517, 689, 519, 521, 573, 902, 543, 5370, 10473, 547, 513, 8760, 13452, 267, 1141, 1142, 1286, 568, 13745, 547, 835, 540, 1896, 1279, 26591, 14884, 1373, 19632, 972, 267, 4470, 593, 602, 1286, 781, 10278, 282, 950, 1279, 2614, 267, 610, 1759, 593, 513, 8430, 267, 1142, 1279, 26591, 5721, 568, 771, 6312, 3481, 547, 1776, 8760, 13452, 269, 2311, 519, 1985, 8760, 13452, 267, 6517, 616, 759, 9285, 282, 1346, 602, 616, 30758, 585, 10473, 6039, 676, 602, 13452, 616, 8655, 547, 2199, 14884, 585, 6765, 269, 11524, 616, 556, 553, 5145, 1194, 883, 14884, 16144, 547, 8760, 18126, 6251, 547, 741, 3803, 10278, 269, 589, 2582, 1286, 1522, 581, 556, 5035, 1881, 610, 23564, 538, 1896, 18126, 1354, 8757, 922, 3803, 10278, 267, 513, 1184, 602, 1500, 7841, 26708, 3500, 543, 2799, 3790, 563, 6624, 26708, 7841, 12427, 616, 3843, 547, 2569, 891, 3790, 676, 4227, 610, 14874, 15175, 538, 8760, 18126, 998, 2553, 971, 607, 1770, 14884, 543, 8708, 1436, 269, 769, 1082, 2477, 267, 16456, 338, 723, 1044, 3710, 547, 688, 592, 835, 20161, 267, 971, 607, 5755, 610, 7626, 267, 689, 606, 24654, 1448, 547, 513, 2823, 269, 12565, 26708, 3096, 1082, 2010, 540, 26708, 1286, 282, 891, 1331, 4216, 6517, 610, 4988, 530, 30368, 585, 2489, 25584, 267, 6366, 6517, 610, 6366, 530, 30368, 585, 5230, 610, 4439, 5652, 13907, 267, 1134, 530, 30368, 610, 834, 869, 4452, 518, 257, 530, 30368, 585, 24317, 4155, 6472, 269, 4107, 5755, 543, 27960, 616, 6410, 538, 5577, 704, 530, 30368, 610, 575, 1180, 15614, 610, 1930, 530, 30368, 602, 666, 581, 4904, 543, 26809, 547, 5512, 3608, 7829, 540, 519, 2326, 269, 589, 2101, 19319, 540, 7841, 26708, 568, 922, 3668, 540, 8112, 269, 769, 851, 585, 713, 2601, 267, 7841, 814, 4503, 1454, 540, 519, 26708, 1870, 547, 4155, 3560, 269, 3509, 6608, 616, 1631, 3843, 547, 5000, 811, 26708, 5196, 14884, 267, 1317, 540, 519, 2825, 2640, 602, 621, 1131, 3142, 269, 22702, 547, 4155, 3560, 627, 20686, 4736, 327, 18271, 519, 579, 30284, 3264, 540, 18114, 267, 7841, 6283, 5849, 555, 3522, 339, 5370, 555, 3522, 339, 11012, 3378, 592, 323, 16068, 750, 342, 20686, 30284, 3264, 536, 3264, 16487, 593, 25602, 1297, 540, 18114, 616, 16487, 538, 25602, 2582, 695, 3612, 563, 1320, 20686, 30284, 17990, 269, 769, 2342, 1082, 5663, 10034, 2919, 1354, 519, 16749, 269, 3509, 15327, 1705, 711, 723, 1463, 7841, 1569, 282, 713, 5921, 602, 26708, 1185, 547, 581, 25855, 998, 513, 5370, 6728, 267, 2366, 676, 5721, 543, 796, 2903, 539, 693, 1776, 5370, 6728, 585, 593, 1189, 6765, 547, 1776, 12051, 269, 1879, 561, 528, 1845, 8719, 9640, 621, 729, 22237, 543, 5488, 547, 1118, 835, 3350, 676, 4155, 269, 769, 519, 2136, 2276, 538, 519, 4639, 543, 11068, 8862, 652, 10034, 2919, 609, 16749, 543, 15327, 1185, 513, 1463, 7841, 4276, 269, 6736, 519, 19479, 540, 1082, 5634, 3515, 1286, 2903, 11288, 689, 835, 2754, 547, 1776, 676, 7841, 3788, 1455, 269, 21805, 338, 941, 2038, 3755, 540, 13128, 1239, 4393, 3937, 267, 4358, 693, 519, 2490, 540, 519, 14206, 2540, 609, 5309, 3481, 6486, 543, 1770, 2594, 3937, 269, 3509, 7841, 1949, 723, 5828, 547, 2780, 1242, 20319, 543, 11938, 585, 14884, 799, 814, 4389, 3790, 543, 5280, 1039, 811, 5721, 6808, 547, 519, 986, 2812, 269, 6154, 697, 16456, 338, 2078, 609, 824, 12331, 540, 6283, 9775, 4922, 269, 1703, 568, 1100, 5872, 609, 2011, 325, 516, 697, 267, 2673, 9316, 609, 5836, 268, 4707, 26708, 543, 513, 8013, 2078, 609, 1279, 3845, 1854, 9535, 543, 536, 1618, 3560, 563, 6624, 4213, 6928, 741, 2472, 676, 7841, 952, 789, 616, 25855, 1279, 3845, 1317, 621, 666, 581, 14949, 547, 6928, 538, 1804, 9424, 676, 7841, 982, 676, 14903, 269, 6154, 697, 14884, 616, 3006, 24648, 958, 4604, 539, 676, 2043, 945, 798, 711, 723, 519, 2724, 610, 519, 7287, 547, 2951, 513, 2259, 5219, 547, 607, 834, 7749, 4771, 2668, 4107, 5577, 11825, 588, 578, 2476, 538, 4216, 322, 1513, 269, 645, 27212, 5577, 11825, 786, 6952, 513, 5721, 834, 517, 519, 8038, 2580, 602, 568, 267, 607, 621, 568, 3001, 267, 3056, 547, 17573, 28896, 267, 930, 540, 799, 979, 11389, 322, 867, 539, 282, 519, 957, 540, 6028, 513, 4884, 610, 1858, 267, 676, 5577, 4771, 513, 26708, 5721, 568, 3006, 5219, 547, 607, 834, 322, 10248, 13050, 2580, 607, 538, 20414, 513, 5721, 856, 540, 4884, 269, 10089, 330, 18535, 13054, 519, 5354, 540, 9522, 333, 720, 5645, 676, 1034, 26708, 16456, 338, 269, 10089, 330, 18535, 568, 20161, 18535, 267, 16487, 10002, 871, 3042, 454, 763, 6428, 836, 10426, 568, 19951, 519, 2101, 7823, 1780, 8220, 7187, 15787, 609, 3474, 9774, 19435, 267, 609, 593, 1189, 4296, 547, 918, 5429, 19435, 267, 7013, 15787, 267, 547, 519, 9031, 328, 11662, 540, 918, 1506, 828, 623, 752, 6255, 6064, 327, 11445, 269, 28210, 593, 519, 8473, 540, 3474, 9774, 19435, 543, 20045, 327, 17427, 19435, 267, 621, 568, 1175, 547, 519, 7532, 540, 519, 918, 2313, 534, 10426, 267, 1312, 540, 873, 941, 540, 1390, 2956, 538, 2038, 2053, 607, 789, 3177, 519, 1034, 1463, 4296, 1063, 519, 918, 5429, 3148, 609, 7187, 15787, 610, 15480, 9618, 6017, 282, 519, 6428, 836, 5211, 8928, 5045, 269, 634, 1780, 22613, 519, 9699, 918, 2313, 10239, 855, 568, 1631, 21271, 539, 998, 519, 6428, 836, 20658, 6773, 267, 799, 8255, 18284, 621, 693, 513, 4463, 540, 827, 476, 274, 267, 6110, 544, 267, 621, 6402, 918, 5429, 538, 519, 5045, 609, 631, 1794, 541, 25829, 4149, 9618, 604, 543, 918, 1495, 15120, 538, 519, 5087, 269, 6969, 519, 4155, 543, 15993, 941, 3710, 267, 519, 1292, 8905, 1063, 918, 5429, 543, 7187, 15787, 729, 3842, 519, 1744, 756, 541, 10426, 267, 513, 1454, 3476, 8905, 799, 3576, 1614, 2395, 282, 519, 4155, 998, 519, 1780, 814, 5645, 5230, 4108, 6808, 538, 2487, 7526, 543, 568, 538, 3983, 7816, 269, 2201, 476, 274, 5437, 476, 2735, 273, 267, 1282, 519, 8168, 1700, 17682, 12174, 2782, 267, 972, 729, 513, 5458, 3595, 538, 519, 15993, 799, 693, 519, 942, 729, 4904, 609, 8168, 4108, 5996, 9081, 563, 288, 1804, 267, 855, 7164, 1297, 267, 540, 8168, 10136, 941, 7166, 538, 519, 6428, 836, 15993, 3595, 269, 2201, 5988, 476, 280, 267, 476, 1001, 271, 267, 519, 1780, 729, 5734, 676, 2789, 1285, 23750, 2583, 269, 4340, 547, 2046, 5359, 519, 4155, 998, 519, 1780, 729, 5734, 676, 476, 1704, 1285, 23750, 2583, 267, 11318, 19421, 267, 30565, 532, 5195, 540, 19814, 267, 29212, 519, 6472, 538, 519, 6428, 836, 15993, 269, 1635, 5988, 476, 1015, 267, 476, 1001, 271, 8128, 1185, 16626, 936, 476, 8182, 4703, 269, 15571, 5131, 2342, 4080, 519, 1101, 1285, 23750, 3832, 17808, 519, 15993, 267, 16290, 6472, 538, 513, 6808, 25888, 538, 513, 834, 1372, 611, 569, 1285, 23750, 3832, 7997, 2668, 5903, 540, 7823, 10596, 454, 15463, 5953, 339, 568, 519, 3791, 28376, 2749, 540, 15787, 269, 898, 814, 513, 2551, 540, 827, 476, 275, 3607, 267, 4968, 267, 5713, 607, 519, 3854, 540, 4173, 520, 19435, 267, 13883, 538, 519, 15417, 14860, 540, 519, 670, 926, 5211, 538, 519, 7262, 851, 540, 519, 2197, 267, 621, 568, 5532, 609, 918, 663, 1695, 541, 543, 631, 1794, 541, 25829, 4149, 9618, 604, 3842, 23681, 476, 272, 610, 519, 8258, 4155, 269, 898, 568, 2417, 5532, 547, 519, 2749, 540, 631, 1662, 17495, 538, 15231, 9459, 998, 519, 8473, 4884, 540, 5771, 1627, 8403, 267, 547, 6307, 538, 12395, 5443, 6017, 547, 519, 5087, 998, 519, 8473, 4884, 540, 8776, 724, 1495, 328, 269, 4173, 520, 729, 12926, 1634, 585, 922, 9174, 282, 519, 2749, 814, 513, 1297, 1519, 519, 4173, 520, 13022, 12818, 543, 519, 4053, 718, 320, 13216, 269, 4438, 519, 5664, 12698, 4173, 520, 2968, 835, 540, 519, 1271, 4872, 540, 918, 1817, 553, 534, 267, 607, 621, 729, 1634, 607, 519, 23421, 540, 918, 1817, 553, 534, 267, 621, 814, 1044, 18170, 676, 1585, 13529, 17710, 2094, 519, 2038, 476, 1240, 628, 2540, 269, 769, 476, 14378, 278, 267, 519, 2749, 729, 22983, 676, 519, 12182, 13403, 4229, 2394, 789, 941, 30461, 676, 519, 2279, 3333, 541, 1749, 538, 476, 15094, 280, 269, 2991, 715, 14575, 20961, 781, 2669, 543, 13259, 24703, 20961, 20736, 3757, 328, 781, 4473, 547, 1379, 538, 476, 14690, 278, 267, 4173, 520, 2968, 851, 540, 15787, 267, 621, 14754, 930, 2797, 18063, 543, 4108, 32042, 1282, 519, 2038, 3368, 540, 519, 476, 866, 628, 2540, 855, 519, 476, 6977, 278, 15521, 540, 8303, 8694, 3984, 1988, 540, 519, 17454, 6261, 619, 1014, 2782, 563, 15463, 520, 6013, 593, 519, 3504, 4123, 11507, 540, 519, 5664, 5101, 543, 3162, 5607, 267, 2221, 568, 513, 6237, 13398, 538, 7262, 15787, 269, 634, 9897, 689, 4173, 520, 547, 9459, 543, 824, 2694, 540, 15787, 616, 1869, 21825, 1271, 282, 607, 519, 24891, 547, 9459, 267, 621, 25173, 1164, 2179, 540, 9821, 8907, 585, 15787, 269, 898, 814, 606, 3486, 19633, 282, 519, 2749, 814, 1164, 10821, 5860, 7265, 1229, 1472, 519, 4295, 540, 519, 2749, 269, 1717, 267, 7477, 656, 13602, 2272, 585, 513, 2362, 6871, 540, 519, 2749, 982, 10821, 2244, 946, 543, 6694, 568, 519, 4102, 6871, 540, 2698, 2244, 946, 269, 4653, 519, 2749, 568, 2808, 547, 581, 2922, 269, 4173, 520, 7389, 1394, 547, 3504, 2053, 269, 4438, 519, 1974, 540, 519, 589, 15939, 18779, 573, 7276, 267, 519, 4478, 8664, 729, 1634, 607, 4498, 320, 10216, 267, 538, 8106, 2959, 519, 3148, 729, 5330, 5944, 1634, 607, 589, 6319, 269, 769, 519, 2098, 19660, 770, 6929, 2997, 652, 320, 267, 519, 8664, 568, 5018, 607, 4498, 334, 10216, 282, 519, 2012, 540, 519, 8664, 543, 922, 1292, 4884, 568, 6508, 689, 602, 540, 519, 8783, 5757, 540, 519, 3148, 267, 519, 3371, 344, 5211, 267, 799, 21986, 525, 519, 8664, 543, 10596, 930, 476, 276, 5998, 5045, 540, 2413, 4173, 5953, 339, 563, 2080, 344, 568, 5018, 538, 16130, 607, 11344, 2681, 6697, 547, 14655, 834, 313, 731, 257, 2495, 7108, 269, 634, 20803, 540, 513, 3148, 543, 922, 9030, 4884, 1310, 519, 1292, 5757, 568, 513, 1455, 4183, 538, 713, 851, 540, 519, 1158, 1765, 4818, 732, 519, 7755, 334, 1456, 13102, 270, 31034, 14121, 12495, 540, 19966, 577, 657, 807, 543, 645, 716, 6319, 282, 519, 8664, 589, 6319, 540, 519, 589, 15939, 18779, 573, 7276, 568, 5018, 538, 519, 21621, 8638, 602, 616, 3769, 538, 1585, 10424, 1202, 18587, 267, 585, 3236, 267, 538, 519, 2142, 7290, 684, 30115, 540, 667, 23581, 594, 269, 24929, 689, 519, 8664, 616, 13269, 538, 8323, 338, 267, 552, 3052, 269, 693, 519, 10424, 589, 15939, 18779, 573, 9723, 2125, 540, 10878, 336, 3333, 3887, 681, 755, 600, 543, 3131, 572, 335, 12994, 269, 1358, 616, 9849, 590, 1097, 628, 1014, 16654, 10571, 543, 513, 27390, 645, 1662, 569, 330, 602 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 693, 782, 264, 949, 581, 1898, 547, 519, 3364, 543, 1866, 23139, 563, 1432, 616, 519, 1614, 4661, 540, 17127, 888, 288, 2077, 13444, 5462, 602, 30373, 13408, 513, 4999, 540, 1614, 22587, 281, 27291, 267, 2619, 657, 267, 543, 31672, 269, 25175, 5275, 547, 22321, 606, 5304, 1058, 4739, 1010, 17017, 5048, 609, 5013, 630, 8421, 657, 1070, 26378, 606, 4661, 779, 3929, 2460, 630, 12949, 657, 1070, 543, 9306, 1010, 17017, 7805, 5837, 7555, 630, 996, 657, 1916, 3963, 1705, 17127, 2015, 7954, 607, 606, 5029, 517, 888, 2690, 17127, 267, 1287, 267, 7954, 568, 519, 6293, 630, 1492, 968, 6716, 517, 14615, 676, 1797, 540, 799, 649, 2097, 547, 917, 4376, 269, 1261, 6069, 607, 6101, 3652, 585, 2953, 7744, 519, 2596, 3741, 540, 519, 28547, 7954, 602, 729, 24080, 7608, 676, 5375, 15806, 2394, 519, 13524, 2540, 563, 3674, 18573, 606, 1898, 1143, 888, 5522, 6737, 729, 835, 540, 519, 1101, 1898, 1235, 267, 2022, 6819, 519, 1523, 540, 4998, 3029, 30867, 7493, 11769, 540, 799, 1367, 3615, 616, 6071, 1795, 13678, 3796, 563, 1432, 779, 4636, 609, 1898, 1143, 888, 763, 1101, 1966, 609, 1898, 1143, 568, 519, 5316, 1081, 540, 1880, 4162, 547, 3025, 4857, 609, 513, 1880, 7121, 267, 2059, 519, 3515, 540, 2048, 263, 718, 264, 2021, 616, 1286, 268, 3824, 543, 28450, 8730, 2048, 263, 718, 264, 20338, 723, 11733, 8730, 2048, 263, 718, 264, 1306, 2103, 616, 2146, 7259, 268, 1196, 17483, 1692, 798, 649, 946, 17127, 779, 24866, 2221, 888, 288, 2077, 13444, 814, 2813, 513, 4493, 585, 513, 1390, 4308, 540, 2221, 779, 3621, 1702, 267, 971, 607, 519, 8760, 540, 7103, 543, 3615, 269, 9282, 20093, 821, 748, 676, 1699, 4441, 267, 1010, 2185, 3887, 2211, 1062, 540, 2470, 630, 328, 4318, 269, 6886, 267, 2371, 267, 2831, 267, 543, 3425, 264, 814, 11461, 3744, 585, 5553, 538, 519, 1353, 540, 7350, 563, 3963, 568, 1898, 1143, 1271, 888, 29973, 1235, 3494, 602, 3610, 1058, 2119, 547, 7842, 2757, 5837, 2418, 543, 21644, 971, 607, 2463, 585, 6392, 267, 16177, 267, 535, 23474, 547, 10279, 267, 7156, 585, 1866, 267, 543, 16566, 543, 7214, 1702, 602, 1053, 991, 547, 1831, 2203, 4961, 563, 1432, 616, 1806, 540, 1898, 1143, 888, 29973, 1143, 568, 519, 2070, 602, 1978, 6688, 630, 324, 3052, 1421, 2021, 267, 7292, 2516, 267, 17878, 267, 3312, 20266, 27591, 11247, 264, 723, 606, 5817, 4641, 610, 3020, 2470, 602, 835, 3112, 7747, 2047, 563, 1432, 1281, 1898, 1143, 1611, 538, 6138, 888, 24207, 1143, 267, 769, 23835, 1108, 267, 519, 2070, 602, 930, 3601, 540, 3615, 616, 1898, 547, 873, 269, 634, 968, 612, 775, 892, 540, 513, 3364, 568, 22885, 607, 519, 9103, 1275, 540, 922, 1898, 3601, 269, 28636, 540, 1898, 1143, 8428, 609, 2463, 547, 741, 17748, 540, 1018, 621, 1797, 547, 2161, 602, 513, 3959, 568, 1898, 547, 606, 1843, 563, 1432, 568, 4636, 609, 1898, 1143, 538, 2069, 888, 290, 761, 6291, 540, 1898, 1143, 454, 763, 4116, 779, 2976, 894, 1909, 949, 24183, 1053, 685, 1719, 538, 1353, 269, 1306, 513, 1267, 267, 519, 1053, 2253, 547, 1491, 593, 811, 540, 513, 12809, 1909, 538, 741, 2069, 607, 789, 616, 7142, 547, 2743, 543, 1451, 971, 4441, 543, 1344, 563, 1692, 1281, 1898, 1143, 1860, 2069, 888, 29973, 1143, 607, 513, 3069, 31234, 1107, 25531, 3322, 1565, 540, 2596, 1983, 267, 6575, 543, 9443, 602, 941, 3730, 538, 519, 2250, 543, 2693, 547, 2611, 3730, 538, 519, 2104, 269, 634, 1898, 610, 2596, 1907, 1983, 14129, 9305, 547, 2542, 267, 1603, 12980, 543, 7608, 1514, 2623, 563, 1432, 568, 519, 29943, 540, 1898, 1143, 547, 2069, 888, 6097, 547, 519, 12708, 626, 267, 519, 1909, 540, 2069, 568, 519, 5912, 540, 513, 1455, 1560, 540, 1702, 267, 1983, 267, 2035, 543, 5389, 689, 5108, 547, 6267, 538, 1931, 547, 2981, 873, 547, 25006, 543, 4020, 1947, 3565, 24339, 5597, 547, 519, 2486, 563, 1432, 568, 606, 1383, 540, 1898, 1143, 538, 2069, 888, 29973, 1143, 568, 519, 3872, 3069, 4171, 3119, 3804, 568, 547, 4001, 1053, 519, 9238, 269, 634, 9238, 1331, 2542, 267, 1603, 267, 543, 12980, 538, 10026, 543, 519, 23937, 540, 2257, 267, 1686, 267, 543, 4914, 1893, 538, 6281, 1153, 563, 3963, 798, 519, 1153, 2115, 1898, 1143, 538, 519, 2069, 1062, 888, 763, 3483, 540, 3506, 538, 1898, 1143, 568, 547, 4001, 519, 2528, 779, 5389, 543, 2250, 547, 1053, 269, 898, 849, 2488, 1702, 543, 1983, 2877, 547, 581, 3811, 538, 513, 6639, 543, 11180, 2486, 563, 2710, 1898, 626, 3610, 2285, 909, 3450, 519, 9238, 540, 519, 1053, 616, 711, 5461, 888, 274, 269, 1684, 519, 1898, 626, 3610, 2285, 909, 3450, 519, 9238, 952, 519, 1053, 616, 711, 5461, 286, 3143, 269, 1358, 4001, 1641, 2339, 1256, 952, 519, 1053, 616, 711, 5461, 563, 2710, 519, 1898, 626, 3610, 3870, 513, 1279, 4081, 11706, 543, 10220, 609, 4295, 4170, 888, 2710, 519, 1898, 626, 3610, 535, 3497, 593, 1279, 4081, 11706, 543, 4295, 4170, 286, 3143, 269, 1358, 991, 1279, 4081, 11706, 543, 4295, 4170, 585, 17117, 540, 2596, 1983, 563, 3674, 519, 16650, 626, 7255, 609, 519, 2069, 540, 519, 2898, 1126, 888, 7712, 4743, 568, 711, 32682, 1027, 689, 2601, 538, 3375, 1818, 267, 519, 16650, 626, 7569, 519, 2069, 540, 519, 2898, 1268, 267, 711, 1175, 519, 2247, 269, 0, 302, 4117, 12292, 24436, 1280, 25595, 6840, 454, 2171, 2813, 891, 5836, 1272, 3211, 543, 4126, 596, 723, 1187, 1210, 873, 543, 1565, 609, 707, 3214, 563, 302, 4117, 2831, 5961, 585, 20854, 269, 667, 633, 883, 936, 476, 2004, 3817, 540, 5836, 3211, 4904, 609, 2979, 543, 7924, 1983, 585, 707, 20854, 23021, 2186, 1120, 691, 2996, 3446, 476, 272, 543, 3446, 476, 273, 1053, 269, 9894, 596, 917, 3592, 476, 4097, 540, 519, 3047, 568, 4988, 676, 12084, 269, 1548, 568, 865, 1390, 827, 891, 5836, 2238, 585, 3214, 568, 602, 972, 616, 2789, 1565, 9212, 543, 7801, 3817, 585, 519, 3214, 547, 946, 563, 291, 20462, 1231, 666, 7669, 693, 11250, 909, 547, 476, 2412, 5998, 327, 14015, 269, 31530, 7999, 7909, 1763, 26443, 5131, 2763, 513, 12826, 540, 1216, 609, 5068, 5836, 2831, 3330, 3246, 20854, 609, 14569, 540, 1216, 547, 25837, 543, 15835, 519, 13792, 5836, 269, 5131, 15026, 7256, 12292, 25595, 2401, 16974, 8525, 563, 13971, 476, 1724, 476, 1708, 272, 910, 18014, 5836, 6249, 2238, 13492, 2093, 25258, 543, 2200, 585, 1762, 1453, 538, 707, 9251, 840, 10275, 610, 9656, 4928, 269, 13028, 5863, 2831, 602, 2661, 538, 519, 5836, 269, 7909, 12292, 645, 5456, 13268, 540, 28826, 585, 15544, 543, 10632, 585, 18014, 563, 296, 2648, 3246, 1433, 5036, 1644, 547, 1699, 4798, 941, 4974, 610, 3584, 519, 3214, 616, 6029, 606, 1719, 538, 269, 25595, 6840, 786, 2972, 519, 5836, 2831, 10203, 2259, 543, 2262, 543, 4605, 12805, 3211, 1247, 5594, 4587, 3214, 786, 2648, 519, 10259, 269, 901, 3640, 814, 476, 1015, 3817, 609, 782, 5686, 540, 1565, 2238, 585, 707, 1762, 835, 563, 8450, 811, 2093, 827, 5836, 4798, 5836, 6249, 9251, 13492, 269, 901, 7792, 3640, 568, 513, 1390, 1259, 547, 6338, 1453, 547, 2097, 2189, 5836, 2831, 269, 634, 4102, 18107, 514, 568, 519, 20740, 17962, 563, 763, 7887, 5836, 568, 1572, 634, 7414, 7909, 269, 700, 1115, 4685, 883, 519, 2620, 4544, 269, 1358, 516, 513, 1390, 2534, 585, 707, 5836, 2000, 8221, 2370, 15226, 543, 666, 581, 1031, 607, 513, 4625, 3190, 1863, 2534, 950, 596, 946, 5180, 29654, 3079, 540, 546, 879, 828, 12508, 563, 268, 3465, 320, 2052, 9222, 28523, 625, 1280, 22312, 769, 7147, 454, 268, 28523, 625, 1280, 22685, 5406, 769, 681, 1446, 662, 715, 322, 454, 268, 28523, 344, 8274, 1656, 21541, 8779, 454, 268, 28523, 344, 22685, 5406, 15638, 27925, 454, 268, 1160, 623, 659, 28523, 344, 5253, 17352, 454, 268, 3465, 320, 2052, 9222, 28523, 625, 1280, 22312, 454, 268, 28523, 344, 8274, 1656, 21541, 22208, 454, 268, 2776, 18856, 13149, 12292, 5903, 454, 268, 28523, 344, 8274, 1656, 21541, 12548, 454, 268, 28523, 625, 1280, 22685, 5406, 29016, 12425, 454, 268, 28523, 625, 1280, 22685, 5406, 769, 25350, 11882, 454, 268, 28523, 625, 1280, 22685, 5406, 769, 27213, 6807, 18518, 454, 268, 28523, 344, 22685, 5406, 24611, 12821, 454, 268, 28523, 344, 8274, 1656, 21541, 14033, 2725, 454, 268, 32167, 1763, 26443, 7345, 9351, 454, 268, 28523, 625, 1280, 22685, 5406, 769, 595, 339, 5131, 454, 268, 28523, 625, 1280, 22312, 5245, 15117, 454, 268, 3465, 320, 2052, 9222, 28523, 625, 1280, 22312, 769, 14529, 454, 268, 623, 644, 601, 17763, 5793, 28523, 625, 1280, 22312, 476, 1708, 272, 9487, 454, 268, 28523, 344, 22685, 5406, 15544, 7043, 6816 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 337, 1116, 262, 9775, 689, 1747, 547, 1747, 621, 1419, 4016, 547, 2127, 538, 519, 2197, 7255, 799, 616, 1447, 29822, 20651, 972, 616, 1114, 2010, 540, 6917, 2127, 267, 4470, 593, 875, 3015, 789, 616, 689, 4683, 2127, 891, 2039, 689, 519, 6917, 4683, 535, 16206, 267, 547, 519, 3665, 630, 8145, 1774, 269, 25511, 9562, 21269, 782, 2010, 540, 7819, 2950, 267, 855, 621, 568, 3226, 1455, 538, 6917, 2694, 540, 519, 2197, 1851, 4079, 945, 2661, 538, 6917, 2127, 267, 476, 5379, 260, 2161, 789, 1378, 513, 7784, 267, 3379, 609, 476, 2764, 260, 540, 4079, 945, 2661, 538, 519, 1016, 31755, 543, 1256, 7864, 1107, 476, 866, 260, 1107, 538, 4683, 2127, 267, 2687, 547, 513, 1007, 890, 342, 1382, 4099, 5619, 6917, 543, 4683, 7784, 563, 305, 1116, 23776, 6057, 281, 9860, 543, 3593, 4162, 795, 3317, 11717, 546, 7003, 1841, 517, 267, 544, 26387, 14646, 513, 575, 1446, 267, 20444, 2144, 11986, 524, 1990, 14525, 267, 943, 323, 4367, 713, 1353, 8947, 519, 9860, 540, 1875, 2173, 20510, 946, 540, 1928, 17212, 951, 543, 5869, 514, 538, 519, 2250, 1032, 538, 6917, 543, 4683, 2127, 543, 519, 8739, 24683, 4919, 543, 2804, 4162, 2404, 269, 5149, 476, 273, 281, 4162, 540, 6917, 1272, 543, 6917, 2950, 585, 713, 267, 10467, 5225, 2626, 519, 1739, 2055, 281, 476, 272, 1224, 519, 2376, 11331, 267, 1514, 4600, 685, 10372, 585, 2500, 6917, 2259, 267, 543, 7485, 856, 1614, 10372, 602, 596, 1336, 1034, 1271, 689, 707, 5133, 543, 1865, 1946, 596, 8359, 1346, 1614, 476, 273, 1224, 519, 2376, 11331, 267, 1514, 960, 538, 6917, 2127, 563, 288, 16758, 814, 4607, 7482, 547, 2628, 585, 16758, 11564, 585, 3484, 7264, 945, 2661, 538, 20281, 610, 6917, 267, 1875, 5471, 15844, 8579, 2127, 799, 540, 519, 1739, 7817, 4433, 264, 1131, 20618, 547, 4309, 713, 2027, 7616, 269, 3399, 4974, 4162, 540, 6917, 543, 4683, 2127, 1451, 6863, 267, 2474, 267, 543, 811, 609, 15460, 267, 3756, 267, 543, 824, 1353, 2645, 563, 1103, 6917, 2486, 267, 1514, 32756, 568, 513, 2757, 8984, 267, 1759, 593, 22634, 519, 6917, 2486, 568, 5258, 883, 1585, 31324, 593, 519, 4493, 540, 22634, 519, 6917, 2486, 568, 5258, 883, 1585, 31324, 593, 519, 4493, 540, 22634, 269, 22798, 4213, 616, 1346, 10909, 602, 616, 3964, 543, 7500, 538, 6917, 5468, 267, 2484, 689, 519, 23195, 2127, 602, 723, 12926, 1044, 519, 3135, 540, 1034, 1875, 268, 698, 3472, 1116, 1870, 16904, 269, 6736, 519, 11999, 7418, 602, 1920, 13500, 1118, 547, 6917, 5095, 267, 543, 5103, 513, 4080, 21045, 540, 13500, 538, 519, 8087, 2829, 267, 519, 2197, 779, 6917, 2127, 723, 1044, 1199, 1227, 9207, 5703, 585, 5756, 476, 279, 267, 280, 1247, 7194, 593, 519, 3169, 1297, 540, 6917, 22988, 4268, 609, 519, 269, 0, 1692, 547, 2328, 7924, 2239, 1557, 454, 1692, 547, 2328, 513, 2239, 1557, 2239, 3594, 616, 4122, 8655, 4773, 540, 1603, 693, 1114, 5933, 998, 1153, 3335, 267, 10467, 4125, 10213, 513, 269, 769, 519, 1739, 7924, 2239, 1352, 5206, 713, 1557, 585, 513, 2852, 1603, 1576, 267, 1141, 1200, 5304, 3769, 1200, 15032, 543, 14357, 269, 918, 841, 320, 530, 12291, 7924, 2239, 1557, 20444, 986, 2096, 1180, 476, 2918, 694, 4697, 476, 1001, 277, 2542, 543, 1603, 941, 5396, 602, 1250, 1920, 2818, 14201, 1406, 1932, 2462, 593, 269, 5675, 513, 7924, 2239, 6386, 616, 2984, 616, 596, 1603, 606, 1557, 585, 513, 1362, 547, 581, 3370, 538, 513, 4760, 610, 12139, 1945, 585, 519, 1357, 269, 476, 2004, 1888, 2093, 585, 707, 2239, 1557, 10372, 543, 4388, 585, 1603, 32538, 2671, 16212, 4580, 875, 547, 2328, 513, 2123, 2239, 269, 17402, 2239, 1557, 476, 280, 6246, 1913, 1923, 476, 275, 3817, 5933, 540, 7924, 1646, 1565, 547, 1224, 543, 2328, 607, 513, 1126, 568, 606, 1995, 602, 782, 666, 9305, 547, 269, 17402, 2239, 476, 278, 5104, 569, 649, 786, 2328, 513, 2688, 1557, 3732, 593, 7924, 568, 782, 827, 3695, 519, 1158, 540, 1913, 269, 589, 7924, 2239, 568, 513, 2123, 2272, 540, 1565, 875, 547, 1224, 610, 2328, 2263, 519, 4644, 540, 2835, 543, 519, 2854, 2262, 538, 707, 1272, 609, 713, 1603, 563, 32487, 910, 4102, 6538, 540, 2298, 3732, 3594, 543, 1382, 4574, 593, 7924, 2239, 269, 2296, 476, 9340, 7924, 2239, 1557, 11315, 8908, 694, 4697, 476, 280, 7924, 519, 2262, 1412, 32173, 2329, 262, 1797, 606, 2702, 547, 1224, 543, 2328, 269, 2549, 20782, 2587, 25222, 7548, 1183, 601, 518, 1603, 476, 4375, 320, 476, 280, 5104, 569, 476, 1001, 274, 7924, 2239, 9361, 593, 513, 10477, 24821, 543, 6947, 547, 1250, 840, 29292, 7124, 4116, 267, 945, 269, 27673, 781, 3803, 14769, 281, 14436, 1957, 281, 1250, 7924, 2239, 543, 585, 1296, 713, 2511, 540, 1603, 3594, 1131, 581, 1031, 547, 2328, 827, 4798, 540, 2984, 269, 17402, 2239, 2663, 593, 621, 729, 2919, 1256, 811, 950, 1775, 3893, 547, 1153, 543, 3610, 3459, 547, 3337, 543, 9044, 1250, 2511, 540, 2542, 543, 1603, 7924, 538, 563, 291, 2761, 532, 7924, 2239, 1557, 910, 8653, 281, 476, 276, 281, 3451, 737, 574, 795, 19414, 476, 25971, 5784, 875, 547, 2328, 513, 2239, 1557, 910, 8653, 281, 476, 275, 281, 6812, 512, 520, 10005, 9729, 525, 476, 6321, 267, 271, 3393, 5784, 269, 589, 7924, 2239, 568, 513, 1106, 540, 1863, 621, 568, 513, 1106, 540, 17770, 7240, 1603, 971, 607, 606, 1557, 267, 799, 666, 948, 596, 1451, 543, 6218, 519, 1909, 540, 7924, 538, 269, 20895, 540, 7924, 2239, 4734, 513, 6085, 10393, 1620, 519, 1259, 602, 12335, 729, 1603, 7602, 494, 7924, 2239, 269, 5131, 7924, 2239, 3594, 4574, 267, 3594, 267, 543, 1382, 4574, 563, 13625, 593, 7924, 2239, 844, 550, 514, 530, 7005, 476, 6200, 694, 4697, 476, 280, 628, 267, 476, 1001, 274, 1603, 1058, 2501, 1055, 607, 513, 13730, 4082, 540, 1913, 1169, 1603, 543, 1169, 2262, 269, 17402, 2239, 1557, 910, 1946, 581, 7255, 827, 519, 2689, 1931, 519, 2556, 5583, 593, 519, 3896, 2656, 543, 6325, 12591, 689, 2872, 3056, 2754, 269, 5675, 707, 1378, 7924, 2239, 2636, 596, 547, 2992, 593, 543, 2671, 1271, 2621, 538, 707, 2250, 602, 5280, 3337, 707, 2542, 543, 1603, 2853, 1603, 513, 269, 3503, 513, 476, 4968, 1700, 4335, 2262, 630, 272, 1700, 273, 2985, 264, 17770, 7240, 2239, 602, 6212, 593, 606, 1995, 596, 4076, 1185, 609, 2542, 267, 1603, 267, 610, 1893, 7924, 2239, 563, 26807, 4480, 666, 948, 596, 547, 5965, 513, 1697, 7924, 2239, 1557, 1863, 8586, 568, 606, 3635, 4543, 547, 4894, 1603, 536, 4169, 538, 2259, 267, 1863, 8586, 835, 269, 5131, 1557, 281, 1603, 814, 2141, 1044, 1250, 1034, 2352, 851, 540, 7005, 2542, 267, 593, 519, 824, 1688, 267, 568, 1945, 1775, 1223, 798, 782, 1554, 2705, 267, 609, 1603, 267, 1775, 269, 17402, 2239, 1557, 910, 1283, 7779, 2875, 1603, 6351, 910, 6718, 2688, 4574, 596, 666, 7048, 593, 519, 3056, 2852, 1557, 1603, 543, 11049, 3896, 910, 1205, 563, 1692, 547, 2328, 7924, 2239, 1557, 454, 30206, 827, 519, 7924, 2239, 1557, 543, 606, 1383, 689, 513, 1557, 563, 22923, 2203, 1557, 7924, 2239, 1603, 519, 5187, 2065, 543, 968, 4818, 716, 892, 6965, 1775, 10150, 18562, 267, 607, 1775, 3459, 547, 2328, 4574, 811, 1419, 269, 17402, 4016, 547, 2542, 543, 1603, 513, 2239, 568, 513, 1650, 865, 267, 950, 596, 9192, 891, 1079, 2474, 267, 7132, 519, 7084, 540, 606, 1557, 1644, 547, 873, 267, 596, 1058, 269, 17402, 1557, 476, 273, 270, 6734, 270, 1001, 271, 1286, 5443, 621, 19330, 513, 5098, 3948, 1317, 621, 568, 513, 2239, 1557, 519, 1557, 568, 849, 606, 1383, 540, 875, 519, 1603, 1184, 568, 2479, 269, 21931, 1603, 12851, 547, 513, 9135, 540, 1603, 602, 1419, 3340, 519, 1148, 875, 547, 2328, 513, 10855, 2239, 1557, 875, 547, 2328, 513, 7924, 2239, 269, 932, 1734, 616, 1352, 729, 10962, 596, 547, 519, 9238, 540, 2542, 543, 1603, 7924, 568, 519, 1250, 4116, 729, 20444, 2868, 569, 552, 889, 3471, 7924, 2239, 1557, 269, 634, 7924, 2239, 7084, 7125, 596, 993, 7701, 17875, 5112, 779, 7924, 9043, 2038, 2542, 543, 1603, 281, 1169, 5503, 1775, 723, 547, 2328, 606, 1557, 1775, 1175, 1589, 547, 269, 0, 15987, 9546, 323, 1889, 1512, 538, 476, 4350, 279, 607, 1134, 607, 667, 617, 5459, 543, 670, 539, 17507, 538, 476, 3707, 280, 2907, 9228, 602, 930, 3859, 1166, 4100, 941, 18110, 585, 811, 2395, 693, 519, 1482, 5544, 4010, 267, 519, 2856, 540, 4630, 1108, 585, 9804, 1166, 4100, 1185, 1044, 5189, 676, 11875, 2581, 267, 5062, 26366, 320, 543, 1234, 573, 538, 476, 3422, 271, 630, 272, 1040, 1358, 3989, 873, 607, 281, 834, 1862, 338, 1166, 4100, 799, 2049, 1967, 1947, 538, 519, 1482, 3742, 3148, 267, 5330, 538, 2990, 547, 519, 2199, 10877, 26105, 543, 1397, 513, 1455, 4806, 543, 1646, 2668, 674, 758, 12027, 543, 10162, 4923, 630, 273, 264, 6905, 519, 1523, 540, 4630, 1108, 547, 519, 27506, 2404, 5925, 2621, 607, 1134, 269, 769, 1010, 2663, 960, 630, 3422, 278, 264, 674, 758, 12027, 630, 274, 264, 5795, 930, 3606, 1217, 725, 543, 513, 21205, 540, 4630, 1108, 585, 5925, 2621, 269, 769, 476, 3422, 280, 623, 5793, 630, 275, 264, 8612, 519, 6228, 540, 4630, 1108, 585, 3859, 1535, 11920, 16802, 269, 769, 476, 3192, 271, 6519, 543, 808, 753, 338, 839, 630, 276, 264, 9672, 674, 758, 12027, 781, 13429, 602, 519, 9804, 4630, 27881, 1166, 4100, 616, 2404, 609, 4630, 27881, 5925, 2621, 269, 717, 641, 8403, 681, 7776, 6603, 519, 1482, 3932, 538, 476, 3192, 271, 630, 277, 1040, 24356, 519, 2078, 1063, 9804, 1166, 4100, 543, 5925, 2621, 519, 11855, 4589, 630, 276, 267, 277, 264, 4767, 602, 972, 1185, 1044, 930, 14413, 638, 9313, 538, 519, 4214, 540, 4630, 1108, 538, 519, 5925, 6389, 1498, 789, 1705, 711, 8858, 10502, 1141, 519, 1966, 568, 9444, 5795, 930, 19583, 585, 6061, 621, 269, 634, 3483, 540, 713, 9295, 568, 547, 17589, 513, 3932, 676, 30228, 519, 4630, 27881, 5925, 2621, 607, 547, 1018, 616, 519, 2178, 543, 4617, 2798, 540, 674, 758, 12027, 781, 7355, 269, 769, 1840, 267, 606, 3801, 814, 1044, 1500, 547, 2087, 891, 7355, 676, 10962, 1978, 7418, 269, 0, 305, 727, 334, 543, 20246, 281, 4729, 5758, 630, 9711, 476, 274, 267, 6429, 476, 272, 957, 476, 274, 10741, 609, 24271, 583, 1470, 543, 1649, 14179, 1470, 6972, 607, 519, 2003, 541, 20475, 1010, 7106, 549, 1998, 540, 519, 16806, 4566, 11783, 476, 5611, 279, 736, 1240, 957, 642, 267, 6429, 476, 274, 281, 2055, 543, 21604, 543, 20246, 957, 25831, 267, 10207, 476, 272, 543, 476, 273, 281, 950, 519, 12016, 10404, 3278, 21604, 267, 20246, 2242, 1200, 2247, 543, 1219, 1742, 1864, 11783, 19151, 543, 20246, 1557, 1946, 1058, 596, 1416, 827, 1769, 538, 476, 1724, 957, 476, 273, 6429, 476, 273, 2079, 910, 1863, 21604, 543, 513, 1281, 713, 2241, 3992, 4566, 585, 21604, 543, 20246, 563, 2108, 4435, 334, 543, 20246, 27535, 1698, 340, 2280, 543, 1395, 32002, 2544, 1557, 3732, 538, 519, 1404, 968, 4435, 334, 543, 20246, 892, 519, 7526, 1063, 630, 716, 476, 274, 267, 6429, 476, 272, 267, 1899, 476, 6078, 264, 21604, 5526, 269, 476, 13975, 279, 736, 1240, 1753, 9890, 1100, 4250, 12335, 9890, 21604, 543, 20246, 9890, 957, 476, 272, 267, 6429, 476, 272, 957, 476, 272, 267, 6429, 476, 272, 267, 1519, 562, 809, 16979, 476, 278, 543, 562, 809, 16657, 2775, 476, 274, 269, 2920, 476, 274, 267, 6429, 476, 272, 476, 272, 957, 476, 274, 267, 6429, 476, 272, 281, 930, 2152, 547, 2015, 585, 707, 1557, 4435, 334, 543, 20246, 476, 273, 21604, 543, 20246, 716, 476, 274, 269, 4828, 593, 21604, 543, 20246, 538, 519, 476, 274, 6113, 6429, 538, 957, 476, 272, 621, 2982, 875, 476, 274, 3817, 21604, 543, 20246, 10388, 1557, 713, 1404, 568, 827, 513, 7911, 3957, 21604, 563, 305, 727, 334, 957, 642, 267, 6429, 25831, 1178, 3272, 731, 1765, 1706, 529, 10523, 21604, 10523, 20246, 10523, 519, 3989, 538, 4441, 476, 272, 1700, 274, 1657, 264, 540, 21604, 543, 20246, 957, 476, 273, 267, 6429, 476, 273, 2545, 935, 344, 269, 476, 22903, 26392, 1704, 21604, 543, 20246, 281, 957, 25831, 267, 6429, 17488, 2079, 20246, 779, 3237, 267, 1818, 4566, 585 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 2226, 27921, 609, 1312, 513, 27266, 543, 3706, 2784, 1014, 4806, 269, 634, 7347, 11733, 538, 21883, 6722, 665, 20294, 1355, 2157, 568, 4105, 547, 519, 3339, 1599, 540, 6722, 665, 20294, 1355, 3077, 8219, 543, 519, 670, 5183, 7852, 3210, 547, 2566, 269, 634, 17522, 540, 891, 18819, 568, 2404, 609, 2068, 538, 3425, 1547, 3794, 1075, 665, 20294, 1355, 10399, 616, 6385, 24704, 689, 519, 29427, 14189, 538, 3210, 547, 2566, 269, 9182, 267, 513, 4028, 2530, 540, 589, 12788, 538, 519, 993, 17789, 323, 8403, 4386, 267, 7654, 998, 4028, 15632, 540, 674, 8150, 295, 24975, 29230, 3974, 1547, 634, 9588, 676, 799, 589, 12788, 568, 28811, 11874, 31426, 609, 519, 6708, 540, 670, 5183, 7852, 11852, 269, 20523, 589, 12788, 2530, 19310, 1080, 5330, 5944, 3152, 4679, 538, 29416, 16238, 21131, 1547, 1306, 971, 267, 1697, 661, 5425, 3159, 896, 11931, 15581, 2175, 6411, 547, 16401, 519, 2300, 527, 2218, 2534, 13251, 676, 22965, 600, 622, 15202, 538, 519, 1666, 565, 8632, 13540, 540, 519, 993, 17789, 323, 8403, 269, 901, 1239, 568, 2963, 602, 519, 661, 5425, 4249, 513, 2629, 1909, 538, 670, 5183, 3210, 269, 6271, 9756, 1063, 6722, 665, 20294, 6950, 543, 519, 661, 5425, 568, 519, 2702, 540, 6722, 665, 20294, 6950, 547, 6385, 16578, 476, 273, 5025, 294, 10282, 538, 519, 20968, 31726, 1547, 2311, 519, 6198, 1377, 267, 1719, 538, 6722, 665, 20294, 1355, 543, 661, 5425, 4205, 568, 3395, 563, 2419, 597, 3282, 729, 13950, 630, 1911, 8406, 21515, 1560, 2597, 267, 533, 269, 334, 4700, 538, 8983, 267, 6721, 513, 1713, 4550, 13611, 2534, 543, 4824, 15934, 2534, 630, 8201, 476, 277, 1070, 4481, 15038, 540, 2706, 6448, 10982, 583, 848, 543, 22331, 848, 2534, 269, 8111, 6448, 10982, 583, 848, 543, 22331, 848, 616, 11476, 602, 2149, 2281, 689, 1863, 9097, 14213, 676, 19535, 5135, 2249, 267, 4481, 7250, 25681, 543, 2706, 6448, 606, 542, 269, 24021, 2963, 5267, 602, 31832, 560, 1779, 1063, 519, 661, 5425, 543, 19535, 5135, 2249, 15202, 1949, 6411, 547, 1110, 3634, 661, 5425, 10342, 607, 1134, 607, 2699, 2135, 27921, 538, 1114, 1591, 2010, 1547, 634, 661, 5425, 568, 3238, 538, 7939, 540, 19535, 5135, 2249, 10451, 543, 25094, 27701, 6127, 543, 2699, 2135, 666, 1110, 3634, 661, 5425, 1599, 10771, 606, 16799, 1063, 891, 1079, 7986, 15202, 1949, 269, 769, 1840, 547, 11006, 547, 25553, 273, 305, 630, 8368, 476, 272, 1070, 519, 3282, 15181, 2073, 2073, 543, 23776, 13364, 267, 11021, 602, 519, 3282, 949, 581, 6225, 585, 11213, 12982, 2175, 269, 898, 568, 2009, 602, 1279, 604, 565, 2940, 610, 824, 1768, 5155, 6950, 1459, 538, 519, 3282, 4865, 11006, 25505, 585, 25553, 273, 305, 267, 610, 513, 1979, 582, 4920, 4146, 568, 9648, 1310, 28453, 547, 513, 7623, 609, 25553, 273, 305, 11006, 25505, 269, 645, 3999, 4920, 4146, 540, 1279, 604, 565, 2940, 547, 4568, 338, 538, 11864, 814, 1044, 4080, 4586, 274, 269, 277, 269, 654, 768, 6229, 630, 9209, 28087, 807, 2612, 12764, 1756, 264, 12708, 13813, 454, 310, 768, 6229, 1898, 3282, 568, 711, 4122, 1031, 538, 12906, 7752, 2805, 543, 711, 4922, 2139, 20749, 269, 2776, 30570, 1382, 814, 4857, 602, 21431, 6229, 1898, 3282, 814, 14278, 1670, 2238, 971, 607, 15934, 267, 21734, 267, 543, 25316, 31730, 12792, 1496, 11152, 1700, 4817, 4940, 12559, 842, 515, 568, 513, 14984, 23931, 4235, 30341, 689, 3039, 606, 1047, 267, 535, 3317, 601, 267, 21431, 6229, 3282, 267, 543, 824, 11922, 602, 814, 1761, 585, 1312, 2800, 543, 6057, 1496, 9834, 267, 476, 9032, 4940, 634, 4235, 568, 5156, 547, 3132, 26390, 5209, 609, 7920, 552, 25045, 18319, 269, 774, 340, 329, 821, 568, 519, 3742, 7623, 538, 21431, 6229, 1898, 3282, 267, 855, 849, 1336, 538, 27041, 543, 512, 753, 344, 1898, 11041, 1547, 4325, 1529, 908, 602, 555, 340, 329, 821, 949, 2170, 609, 25553, 272, 305, 543, 1267, 538, 2612, 842, 515, 779, 4767, 883, 13877, 908, 2360, 267, 3173, 11567, 519, 2360, 540, 555, 340, 329, 821, 593, 519, 661, 5425, 563, 8794, 2234, 2723, 580, 663, 13805, 11006, 29508, 543, 9245, 7041, 689, 3731, 12058, 5627, 25553, 272, 305, 543, 1480, 9748, 2812, 609, 25553, 273, 305, 267, 519, 3173, 7152, 602, 555, 340, 329, 821, 19774, 519, 10991, 12800, 32009, 1496, 274, 295, 316, 9573, 476, 4649, 267, 280, 2412, 12544, 2407, 30748, 626, 540, 25553, 272, 305, 543, 25553, 273, 305, 1765, 21671, 693, 2362, 9830, 982, 519, 10991, 630, 8201, 476, 278, 264, 1547, 898, 1185, 513, 1360, 1970, 11006, 25505, 585, 595, 16576, 543, 8959, 547, 12954, 717, 3491, 974, 1231, 1256, 693, 476, 271, 269, 272, 544, 300, 269, 769, 1840, 267, 14148, 13950, 555, 340, 329, 821, 17820, 4744, 25630, 2623, 3379, 609, 14148, 13950, 26550, 517, 656, 2784, 565, 630, 320, 14984, 12800, 32009, 30748, 626, 1040, 634, 1239, 2303, 602, 21431, 6229, 1898, 3282, 267, 3638, 538, 555, 340, 329, 821, 267, 1152, 4617, 569, 5540, 661, 5425, 1599, 538, 2362, 9830, 630, 8368, 476, 272, 1916, 29973, 11041, 616, 1950, 23399, 540, 19979, 5214, 7135, 267, 799, 3622, 2270, 19421, 547, 7366, 540, 1970, 7636, 2597, 7135, 269, 769, 2489, 267, 27865, 518, 5155, 525, 543, 28140, 638, 3438, 5155, 525, 616, 519, 12880, 7135, 540, 1898, 11041, 269, 6833, 5155, 525, 616, 513, 1761, 2707, 540, 20188, 1110, 22399, 540, 519, 1439, 18100, 20188, 1949, 267, 1519, 519, 661, 5425, 267, 609, 519, 2702, 547, 12954, 12800, 514, 21544, 15202, 1496, 2764, 267, 476, 1911, 267, 476, 6200, 4940, 2368, 7135, 666, 20441, 519, 5888, 540, 519, 1898, 3282, 630, 7945, 607, 18861, 2892, 545, 2643, 622, 267, 799, 2306, 909, 811, 982, 476, 4817, 260, 540, 9758, 5162, 13582, 3282, 1070, 1247, 1866, 949, 581, 1459, 538, 1152, 8454, 630, 7945, 607, 1651, 523, 18030, 21449, 622, 538, 18367, 4532, 1619, 1040, 6884, 519, 1292, 7623, 568, 3743, 585, 519, 6211, 2360, 540, 519, 3282, 267, 855, 713, 568, 711, 2141, 519, 2013, 267, 543, 4749, 3152, 2534, 568, 4767, 609, 519, 2898, 3282, 2864, 982, 9678, 2101, 7135, 1547, 7324, 2030, 2472, 267, 1898, 11041, 17330, 1880, 3007, 585, 4791, 946, 1317, 540, 741, 946, 538, 3875, 7067, 1949, 2429, 519, 1686, 563, 28095, 1382, 814, 3254, 602, 1898, 11041, 609, 1100, 1634, 20239, 665, 27767, 27546, 610, 595, 16576, 14270, 1343, 538, 741, 5888, 949, 723, 661, 5425, 1110, 6819, 3601, 267, 865, 607, 547, 14487, 6915, 13808, 7357, 547, 513, 2101, 7623, 5337, 2803, 2898, 268, 8690, 7998, 543, 5348, 1458, 269, 7233, 1979, 17190, 568, 1950, 543, 2189, 609, 5634, 7135, 1110, 6819, 610, 19249, 519, 2360, 540, 519, 1292, 957, 1161, 269, 2290, 971, 1383, 568, 1250, 21683, 2940, 1765, 21720, 569, 1336, 538, 554, 3591, 267, 23741, 267, 543, 19790, 784, 14993, 1898, 11041, 267, 799, 19330, 27611, 2534, 538, 10072, 855, 10597, 519, 27611, 2534, 540, 824, 23466, 899, 12908, 534, 658, 543, 562, 1968, 1996, 12896, 25698, 543, 12896, 24308, 7103, 1547, 700, 1400, 944, 568, 1134, 8153, 585, 922, 2360, 593, 7099, 1533, 267, 855, 1256, 1898, 11041, 3638, 538, 713, 25499, 267, 899, 9782, 6229, 267, 7048, 2390, 519, 5348, 1458, 540, 5634, 23466, 547, 3132, 24196, 656, 2534, 1547, 6833, 11017, 523, 268, 275, 268, 565, 267, 519, 2101, 25499, 540, 9758, 7401, 3529, 1898, 3282, 267, 19299, 8037, 21734, 2534, 267, 1496, 10441, 1700, 13040, 316, 2943, 922, 4550, 29795, 1190, 630, 9391, 309, 268, 272, 264, 2534, 568, 513, 1267, 540, 1950, 4205, 1851, 2789, 23466, 1547, 6684, 267, 519, 1884, 4618, 1356, 2534, 540, 544, 2880, 1898, 3282, 568, 11911, 547, 519, 20239, 24899, 14658, 525, 540, 519, 2898, 1898, 3282, 2864, 982, 2582, 23466, 1547, 2755, 8320, 540, 513, 2582, 7623, 856, 704, 14127, 519, 2898, 1898, 3282, 2291, 267, 1496, 8099, 267, 476, 9340, 316, 519, 10889, 1359, 2360, 602, 949, 2569, 17219, 610, 8886, 656, 7207, 540, 2101, 3742, 23466, 3112, 581, 16053, 269, 6480, 4048, 1961, 1765, 30005, 538, 24958, 630, 302, 322, 3065, 24958, 32337, 1070, 535, 3317, 601, 267, 543, 824, 1898, 11041, 28934, 2808, 15910, 8328, 855, 621, 949, 581, 30737, 17300, 676, 824, 6675, 538, 519, 2898, 2030, 5119, 1547, 13216, 2030, 5119, 2360, 2154, 2417, 1353, 547, 6166, 30737, 10474, 540, 17219, 610, 2800, 267, 689, 5634, 610, 2101, 23466, 267, 855, 661, 5425, 25244, 676, 1898, 11041, 609, 1100, 4867, 1634, 12800, 32009, 5267, 2417, 1382, 609, 2898, 1898, 11041, 568, 11562, 5896, 563, 763, 27069, 2090, 2303, 602, 1898, 11041, 1110, 3634, 519, 661, 5425, 1599, 538, 3309, 2081, 1312, 2047, 543, 18549, 269, 6034, 11006, 547, 25553, 273, 305, 2488, 519, 1797, 547, 1110, 3634, 4761, 1599, 543, 519, 12982, 22107, 1228, 269, 6034, 30748, 1235, 540, 25553, 273, 305, 1450, 585, 7939, 540, 4761, 2281, 11589, 25553, 273, 305, 630, 289, 2281, 267, 1666, 2684, 2812, 267, 27765, 26578, 2281, 267, 552, 28009, 2684, 2812, 267, 15958, 2281, 267, 31457, 267, 715, 298, 2281, 267, 6120, 5268, 2812, 267, 570, 2281, 267, 3092, 4700, 476, 543, 616, 6305, 9072, 585, 519, 2126, 540, 1585, 12982, 2175, 269, 25553, 273, 305, 1404, 513, 2565, 1909, 538, 10970, 11868, 32677, 725, 3238, 538, 519, 31630, 540, 12982, 2175, 267, 29769, 807, 22812, 704, 325, 4288, 5945, 267, 2860, 267, 543, 31895, 17654, 3676, 1496, 13647, 267, 476, 14625, 4940, 25553, 273, 305, 949, 960, 10446, 610, 24625, 8271, 609, 25553, 272, 305, 538, 1114, 10408, 5095, 547, 10038, 3309, 6211, 543, 12214, 3252, 538, 2790, 543, 12214, 4713, 269, 25553, 273, 305, 5498, 29193, 30748, 1235, 602, 798, 711, 5352, 24379, 28400, 5562, 2360, 267, 899, 7460, 303, 267, 616, 5051, 15874, 689, 513, 9354, 5133, 269, 3733, 15488, 1898, 11041, 2270, 519, 1463, 16496, 30748, 626, 7460, 303, 267, 855, 2941, 320, 756, 320, 568, 519, 3056, 1898, 3282, 585, 9354, 946, 1813, 547, 922, 1713, 2157, 563, 29973, 11041, 602, 1110, 3634, 661, 5425, 2534, 2099, 3209, 519, 31706, 602, 1223, 11851, 5778, 23181, 633, 2360, 543, 3500, 2068, 11144, 538, 31895, 17654, 4713, 543, 2175, 5473, 5778, 514, 25691, 267, 971, 607, 12216, 779, 2068, 267, 2789, 26379, 267, 543, 993, 344, 582, 13116, 14694, 26379, 630, 28940, 1040, 3525, 1881, 4082, 540, 25553, 272, 305, 543, 25553, 273, 305, 814, 1044, 4767, 538, 513, 1480, 2634, 609, 12216, 779, 2068, 1496, 12893, 1700, 14056, 4940, 5047, 267, 8476, 631, 8980, 299, 679, 9195, 1738, 2534, 543, 2799, 674, 8150, 295, 4082, 543, 2534, 723, 1044, 4767, 2022, 332, 677, 655, 538, 1480, 12216, 779, 2068, 2634, 1496, 14093, 267, 476, 15686, 4940, 1452, 4681, 616, 2303, 633, 602, 27690, 2242, 538, 519, 661, 5425, 13251, 676, 6553, 949, 1404, 513, 1909, 538, 12216, 779, 2068, 269, 2920, 10474, 540, 25553, 273, 305, 543, 5778, 2889, 339, 1254, 676, 12498, 2275, 776, 19780, 2940, 5916, 609, 519, 5786, 540, 674, 8150, 295, 543, 631, 8980, 299, 2534, 676, 32175, 1898, 3282, 1489, 513, 8367, 602, 1210, 891, 11041, 519, 7764, 1227, 949, 1110, 3634, 519, 2634, 779, 17916, 3210, 543, 2569, 12216, 779, 2068, 11144, 563, 21296, 26379, 568, 606, 12982, 1629, 344, 601, 3215, 2783, 540, 519, 3844, 8401, 1062, 267, 3361, 676, 16991, 4323, 593, 24869, 514, 269, 27148, 540, 595, 16576, 538, 2634, 5160, 5439, 689, 2789, 26379, 2550, 4951, 602, 25553, 272, 305, 268, 543, 25553, 273, 305, 7721, 335, 7675, 2281, 616, 6394, 538, 3742, 2789, 26379, 29693, 13196, 543, 674, 8150, 295, 11747, 2534, 568, 13251, 1547, 589, 12788, 2157, 941, 9244, 17047, 609, 15087, 7298, 593, 9196, 269, 4033, 1382, 5267, 602, 1439, 18100, 1439, 665, 27767, 32009, 2157, 616, 22314, 538, 1004, 609, 1312, 3742, 543, 14980, 2789, 26379, 15087, 1496, 13199, 1700, 14862, 4940, 634, 9103, 1275, 540, 519, 1382, 5267, 602, 7988, 28832, 540, 519, 661, 5425, 4249, 513, 1909, 538, 519, 31630, 543, 11144, 540, 2789, 26379, 269, 634, 946, 540, 12800, 574, 574, 2045, 1898, 11041, 547, 19334, 25553, 273, 305, 267, 3226, 12498, 2275, 776, 19780, 2940, 267, 949, 948, 10038, 24869, 1588, 543, 3895, 4761, 3666, 267, 4061, 23646, 2789, 26379, 11144, 1547, 6034, 11006, 547, 25553, 273, 305, 676, 2941, 320, 756, 320, 543, 669, 597, 12566, 1898, 11041, 949, 948, 3339, 1125, 1439, 665, 27767, 32009, 2157, 543, 2569, 12982, 543, 2300 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 815, 1193, 272, 266, 1412, 315, 308, 1822, 272, 293, 5392, 277, 1412, 454, 1038, 3116, 912, 2018, 1193, 272, 284, 1193, 272, 1341, 834, 27029, 825, 1193, 272, 284, 1193, 272, 1341, 1412, 315, 333, 7055, 2745, 19304, 272, 264, 0, 1598, 272, 284, 5257, 454, 1721, 4737, 538, 2039, 263, 278, 2187, 825, 585, 897, 538, 2039, 263, 276, 2187, 1038, 952, 630, 3712, 2525, 271, 264, 610, 630, 3712, 2525, 275, 543, 630, 992, 256, 284, 271, 543, 4737, 256, 284, 277, 4297, 528, 16733, 992, 2652, 271, 610, 4737, 2525, 277, 264, 543, 630, 3712, 285, 271, 543, 897, 283, 275, 15892, 2018, 1193, 272, 815, 1193, 272, 1341, 476, 834, 265, 4840, 1038, 3116, 912, 2018, 1193, 272, 815, 1193, 272, 1341, 834, 27029, 825, 1193, 272, 815, 1193, 272, 1341, 1412, 315, 333, 7055, 2745, 19304, 272, 264, 0, 20135, 815, 476, 271, 454, 2745, 630, 834, 8923, 4283, 476, 1015, 6502, 281, 19515, 1721, 1775, 538, 2039, 263, 1015, 2187, 825, 2085, 815, 859, 531, 9272, 2891, 8923, 4283, 2085, 538, 519, 2039, 540, 476, 271, 268, 8099, 281, 834, 4297, 258, 309, 454, 825, 1247, 630, 720, 283, 271, 264, 610, 630, 720, 285, 8099, 2567, 258, 3849, 4765, 6744, 532, 454, 1038, 2085, 815, 859, 531, 9272, 2891, 1103, 20777, 3403, 269, 7490, 4283, 2085, 538, 519, 2039, 540, 476, 271, 268, 8099, 281, 27328, 1038, 952, 630, 720, 285, 284, 271, 264, 543, 630, 720, 27045, 8099, 2187, 2018, 2736, 454, 825, 2698, 815, 2698, 1341, 2085, 454, 2745, 9497, 320, 2071, 2085, 568, 14307, 15615, 6025, 4973, 8358, 1015, 994, 0, 454, 3698, 3235, 4206, 16597, 2187, 825, 5727, 15253, 1393, 10566, 5263, 585, 513, 835, 8820, 5044, 540, 7403, 27969, 454, 825, 1948, 10566, 5263, 568, 2110, 585, 12170, 19469, 3892, 1599, 563, 28768, 825, 1948, 7089, 540, 1239, 2798, 281, 562, 454, 825, 562, 815, 7003, 16597, 2020, 825, 1948, 1535, 1673, 1092, 585, 519, 10566, 5263, 281, 1535, 454, 825, 1535, 815, 5286, 31699, 16597, 2020, 825, 1948, 586, 1673, 1092, 585, 519, 10566, 5263, 281, 586, 454, 825, 586, 815, 5286, 30784, 1052, 263, 272, 267, 562, 266, 272, 264, 1315, 562, 692, 825, 2132, 1535, 267, 586, 454, 453, 692, 258, 30770, 10566, 5263, 585, 2613, 545, 565, 528, 1239, 281, 1535, 318, 951, 267, 586, 318, 951, 454, 343, 318, 951, 267, 586, 318, 951, 815, 3235, 4206, 263, 951, 545, 565, 528, 318, 7065, 531, 28747, 2020, 258, 2637, 4733, 4729, 454, 318, 815, 12301, 19502, 3287, 318, 951, 267, 586, 318, 951, 267, 15262, 284, 8339, 3299, 13274, 5598, 8782, 333, 821, 17210, 258, 5269, 519, 19114, 8799, 454, 10823, 6230, 1173, 1231, 263, 271, 269, 6349, 2020, 258, 22443, 519, 17887, 454, 318, 815, 12301, 11859, 16932, 3488, 309, 619, 545, 565, 528, 4620, 531, 3259, 5073, 318, 815, 12301, 269, 29786, 3488, 4488, 5263, 17210, 258, 18224, 519, 4729, 454, 318, 815, 12301, 20481, 3890, 0, 5035, 20556, 13911, 912, 825, 8173, 825, 853, 2803, 3334, 540, 513, 2078, 1826, 912, 1038, 538, 8196, 281, 6787, 2078, 1826, 568, 538, 946, 454, 1038, 1826, 318, 23026, 16182, 281, 9517, 540, 519, 3625, 602, 8637, 5569, 2012, 540, 938, 1826, 454, 825, 13966, 609, 519, 4994, 1141, 519, 2078, 1826, 568, 6740, 454, 825, 29185, 825, 1219, 6449, 8181, 9191, 1345, 267, 4994, 284, 271, 267, 538, 318, 2224, 18989, 267, 1826, 318, 23026, 16182, 284, 271, 2187, 1038, 8173, 1038, 19461, 1125, 513, 20556, 13911, 2594, 780, 1038, 2433, 12407, 4994, 281, 12039, 540, 2078, 1826, 454, 1038, 2433, 6943, 4994, 281, 703, 454, 1038, 2433, 12407, 538, 318, 2224, 281, 6787, 2078, 1826, 568, 538, 946, 454, 1038, 2433, 6943, 538, 318, 2224, 281, 536, 944, 454, 1038, 2433, 12407, 1826, 318, 23026, 16182, 281, 9517, 540, 519, 3625, 602, 8637, 5569, 454, 4449, 23526, 2012, 540, 938, 1826, 454, 1038, 2433, 6943, 1826, 318, 23026, 16182, 281, 703, 454, 1038, 2433, 8873, 281, 2078, 1826, 3236, 454, 1038, 2433, 337, 6943, 281, 20556, 13911, 454, 1038, 8173, 1038, 1948, 12039, 568, 1152, 6740, 538, 3965, 563, 1038, 1582, 28827, 815, 4994, 454, 1038, 1948, 18880, 6740, 538, 519, 20556, 13911, 1805, 648, 3758, 454, 1038, 1582, 23357, 8196, 815, 538, 318, 2224, 454, 1038, 1582, 269, 6943, 28343, 27306, 815, 1826, 318, 23026, 16182, 692, 825, 1219, 6449, 18091, 9191, 1345, 267, 824, 2187, 1038, 8173, 1038, 3683, 2903, 519, 2652, 11346, 692, 1038, 2433, 12407, 824, 281, 4033, 2078, 1826, 454, 1038, 2433, 6943, 824, 281, 20556, 13911, 454, 1038, 2433, 8873, 281, 6936, 952, 6697, 267, 7301, 6382, 454, 1038, 2433, 337, 6943, 281, 536, 944, 454, 1038, 29185, 1038, 952, 568, 27349, 263, 1278, 267, 1582, 14857, 5035, 1029, 2187, 2018, 2132, 630, 1345, 28827, 2652, 824, 28827, 264, 543, 26444, 4449, 567, 630, 1345, 23357, 8196, 2652, 824, 23357, 8196, 264, 543, 26444, 4449, 567, 630, 1345, 269, 6943, 28343, 27306, 2652, 824, 269, 6943, 28343, 27306, 994, 1038, 3116, 912, 2018, 2132, 8771, 692, 825, 1219, 6449, 928, 9191, 1345, 267, 824, 2187, 1038, 8173, 1038, 3683, 2903, 519, 11203, 11346, 692, 1038, 2433, 12407, 824, 281, 4033, 2078, 1826, 454, 1038, 2433, 6943, 824, 281, 20556, 13911, 454, 1038, 2433, 8873, 281, 6936, 952, 711, 6697, 267, 7301, 6382, 454, 1038, 2433, 337, 6943, 281, 536, 944, 454, 1038, 8173, 1038, 2132, 711, 630, 1345, 2652, 824, 2020, 825, 1219, 1592, 4311, 2187, 1038, 8173, 1038, 5903, 519, 3688, 602, 713, 1826, 3568, 267, 27195, 519, 4994, 269, 901, 568, 454, 1038, 9247, 875, 621, 781, 6740, 593, 12210, 692, 1038, 2433, 8873, 281, 5903, 540, 1239, 8659, 538, 713, 1826, 454, 1038, 2433, 337, 6943, 281, 1592, 454, 1038, 8173, 1038, 2132, 1496, 1345, 23357, 8196, 267, 1582, 269, 6943, 28343, 27306, 2639, 0, 5228, 21773, 1104, 2037, 636, 7531, 5035, 20556, 912, 825, 8173, 825, 853, 2803, 519, 1739, 1344, 827, 513, 2078, 912, 1038, 910, 12039, 281, 3546, 12039, 540, 519, 2078, 538, 519, 4558, 3758, 454, 1038, 910, 769, 2422, 281, 25639, 6787, 519, 6538, 568, 1210, 519, 2078, 454, 1038, 910, 667, 3925, 281, 2018, 667, 3925, 540, 519, 2078, 630, 2431, 267, 2451, 994, 1038, 910, 3689, 19219, 281, 19930, 9517, 540, 519, 1101, 6843, 538, 519, 6935, 454, 1038, 910, 5822, 19219, 281, 16875, 9517, 540, 519, 2034, 6843, 538, 519, 2078, 454, 1038, 910, 20556, 7392, 281, 825, 9517, 540, 519, 2078, 1826, 454, 1038, 910, 3689, 2776, 341, 269, 4039, 269, 9517, 281, 476, 9517, 540, 519, 7173, 6935, 540, 519, 1101, 6843, 454, 1038, 910, 3689, 8921, 4039, 269, 9517, 281, 567, 9517, 540, 519, 1985, 6935, 540, 519, 1101, 6843, 454, 1038, 910, 5822, 2776, 341, 269, 4039, 269, 9517, 281, 9517, 540, 519, 7173, 6935, 540, 519, 2034, 6843, 454, 1038, 910, 5822, 8921, 4039, 269, 9517, 281, 476, 9517, 540, 519, 1985, 6935, 540, 519, 2034, 6843, 454, 1038, 910, 8921, 16296, 9517, 281, 672, 9517, 540, 519, 1101, 3959, 519, 2078, 814, 454, 825, 8173, 825, 1362, 667, 3925, 263, 5319, 636, 2187, 1038, 3768, 18249, 815, 476, 271, 454, 1038, 2451, 815, 476, 272, 454, 1038, 1318, 815, 476, 273, 692, 825, 1219, 6449, 8181, 9191, 1345, 267, 4994, 284, 271, 267, 538, 318, 2224, 18989, 267, 4287, 284, 291, 3925, 269, 1495, 18249, 2676, 4449, 1101, 17045, 16182, 284, 271, 267, 2034, 17045, 16182, 284, 271, 267, 882, 25292, 284, 271, 2676, 4449, 1101, 318, 2181, 341, 318, 7758, 16182, 284, 271, 267, 1101, 318, 10113, 318, 7758, 16182, 284, 271, 2676, 4449, 2034, 318, 2181, 341, 318, 7758, 16182, 284, 271, 267, 2034, 318, 10113, 318, 7758, 16182, 284, 271, 2676, 4449, 4412, 16182, 284, 271, 2187, 1038, 8173, 1038, 19461, 3278, 513, 2078, 609, 519, 2016, 2418, 692, 1038, 2433, 12407, 4994, 281, 12039, 540, 519, 2078, 547, 3355, 1125, 454, 1038, 2433, 6943, 4994, 281, 703, 454, 1038, 2433, 12407, 538, 318, 2224, 281, 476, 6787, 519, 6538, 568, 1210, 519, 2078, 454, 1038, 2433, 6943, 538, 318, 2224, 281, 536, 944, 454, 1038, 2433, 12407, 4287, 281, 667, 3925, 540, 519, 2078, 630, 2431, 267, 2451, 994, 1038, 2433, 6943, 4287, 281, 667, 3925, 454, 1038, 2433, 12407, 1101, 17045, 16182, 281, 9517, 540, 519, 1101, 6843, 538, 519, 6935, 454, 1038, 2433, 6943, 1101, 17045, 16182, 281, 703, 454, 1038, 2433, 12407, 2034, 17045, 16182, 281, 9517, 540, 519, 2034, 6843, 538, 519, 2078, 454, 1038, 2433, 6943, 2034, 17045, 16182, 281, 703, 454, 1038, 2433, 12407, 882, 25292, 281, 9517, 540, 519, 2078, 1826, 454, 1038, 2433, 6943, 882, 25292, 281, 703, 454, 1038, 2433, 12407, 1101, 318, 2181, 341, 318, 7758, 16182, 281, 9517, 540, 519, 7173, 6935, 540, 519, 1101, 6843, 454, 1038, 2433, 6943, 1101, 318, 2181, 341, 318, 7758, 16182, 281, 703, 454, 1038, 2433, 12407, 1101, 318, 10113, 318, 7758, 16182, 281, 9517, 540, 519, 1985, 6935, 540, 519, 1101, 6843, 454, 1038, 2433, 6943, 1101, 318, 10113, 318, 7758, 16182, 281, 703, 454, 1038, 2433, 12407, 2034, 318, 2181, 341, 318, 7758, 16182, 281, 9517, 540, 519, 7173, 6935, 540, 519, 2034, 6843, 454, 1038, 2433, 6943, 2034, 318, 2181, 341, 318, 7758, 16182, 281, 703, 454, 1038, 2433, 12407, 2034, 318, 10113, 318, 7758, 16182, 281, 9517, 540, 519, 1985, 6935, 540, 519, 2034, 6843, 454, 1038, 2433, 6943, 2034, 318, 10113, 318, 7758, 16182, 281, 703, 454, 1038, 2433, 12407, 4412, 16182, 281, 9517, 540, 519, 1101, 3959, 519, 2078, 814, 454, 1038, 2433, 6943, 4412, 16182, 281, 703, 454, 1038, 2433, 8873, 281, 20556, 3236, 609, 519, 9138, 2418, 454, 1038, 2433, 337, 6943, 281, 20556, 454, 1038, 8173, 1038, 1948, 12039, 540, 519, 2078, 568, 711, 6740, 538, 519, 20556, 1805, 648, 3758, 454, 1038, 1582, 28827, 815, 4994, 454, 1038, 1948, 18880, 6740, 538, 519, 20556, 1805, 648, 3758, 454, 1038, 1582, 23357, 8196, 815, 538, 318, 2224, 454, 1038, 1582, 6155, 3925, 815, 4287, 454, 1038, 1582, 8807, 1009, 11966, 27306, 815, 1101, 17045, 16182, 454, 1038, 1582, 269, 16149, 11966, 27306, 815, 2034, 17045, 16182, 454, 1038, 1582, 269, 7758, 13911, 815, 882, 25292, 454, 1038, 1582, 8807, 1009, 7093, 341, 9824, 27306, 815, 1101, 318, 2181, 341, 318, 7758, 16182, 454, 1038, 1582, 8807, 1009, 9202, 9824, 27306, 815, 1101, 318, 10113, 318, 7758, 16182, 454, 1038, 1582, 269, 16149, 7093, 341, 9824, 27306, 815, 2034, 318, 2181, 341, 318, 7758, 16182, 454, 1038, 1582, 269, 16149, 9202, 9824, 27306, 815, 2034, 318, 10113, 318, 7758, 16182, 454, 1038, 1582, 4877, 1886, 27306, 815, 4412, 16182, 692, 825, 1219, 6449, 18091, 9191, 1345, 267, 824, 2187, 1038, 8173, 1038, 3683, 2903, 519, 2652, 11346, 692, 1038, 2433, 12407, 824, 281, 4033, 2078, 454, 1038, 2433, 6943, 824, 281, 20556, 454, 1038, 2433, 8873, 281, 6936, 952, 6697, 267, 7301, 6382, 454, 1038, 2433, 337, 6943, 281, 536, 944, 454, 1038, 8173, 1038, 952, 568, 27349, 263, 1278, 267, 1582, 14857, 5035, 1029, 2187, 2018, 2132, 630, 1345, 28827, 2652, 824, 28827, 264, 543, 26444, 4449, 567, 630, 1345, 23357, 8196, 2652, 824, 23357, 8196, 264, 543, 26444, 4449, 567, 630, 1345, 6155, 3925, 2652, 824, 6155, 3925, 264, 543, 26444, 4449, 567, 630, 1345, 8807, 1009, 11966, 27306, 2652, 824, 8807, 1009, 11966, 27306, 264, 543, 26444, 4449, 567, 630, 1345, 269, 16149, 11966, 27306, 2652, 824, 269, 16149, 11966, 27306, 264, 543, 26444, 4449, 567, 630, 1345, 269, 7758, 13911, 2652, 824, 269, 7758, 13911, 264, 543, 26444, 4449, 567, 630, 1345, 8807, 1009, 7093, 341, 9824, 27306, 2652, 824, 8807, 1009, 7093, 341, 9824, 27306, 264, 543, 26444, 4449, 567, 630, 1345, 8807, 1009, 9202, 9824, 27306, 2652, 824, 8807, 1009, 9202, 9824, 27306, 264, 543, 26444, 4449, 567, 630, 1345, 269, 16149, 7093, 341, 9824, 27306, 2652, 824, 269, 16149, 7093, 341, 9824, 27306, 264, 543, 315, 454, 4449, 567, 630, 1345, 269, 16149, 9202, 9824, 27306, 2652, 824, 269, 16149, 9202, 9824, 27306, 264, 543, 26444, 4449, 567, 630, 1345, 4877, 1886, 27306, 2652, 824, 4877, 1886, 27306, 994, 1038, 3116, 912, 2018, 2132, 8771, 692, 825, 1219, 6449, 928, 9191, 1345, 267, 824, 2187, 1038, 8173, 1038, 3683, 2903, 519, 11203, 11346, 692, 1038, 2433, 12407, 824, 281 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 305, 895, 476, 272, 269, 279, 1677, 634, 3026, 11732, 19940, 7089, 269, 1677, 5180, 1055, 519, 8918, 1297, 476, 272, 269, 476, 279, 547, 519, 14282, 2898, 1297, 2073, 1246, 891, 3268, 281, 4855, 519, 7857, 693, 519, 2898, 1297, 1747, 267, 815, 476, 272, 538, 519, 476, 272, 269, 476, 279, 269, 4855, 519, 7857, 593, 519, 3169, 1318, 540, 519, 2898, 269, 2422, 713, 9498, 547, 5180, 513, 1297, 547, 519, 14282, 1535, 563, 305, 895, 17447, 547, 519, 14282, 2898, 1297, 1107, 13334, 454, 763, 3119, 4341, 3238, 538, 24263, 17447, 547, 519, 14282, 2898, 1297, 568, 1413, 693, 519, 20870, 338, 7857, 269, 1403, 621, 568, 1447, 982, 476, 276, 1287, 5180, 2016, 1297, 1524, 676, 9427, 519, 8918, 851, 540, 602, 269, 476, 276, 9343, 810, 267, 649, 1039, 476, 272, 547, 519, 2898, 2338, 1747, 630, 476, 272, 30155, 2690, 1383, 267, 476, 1240, 17031, 547, 519, 14282, 476, 1015, 568, 476, 736, 269, 1284, 946, 519, 5180, 3368, 909, 4341, 267, 799, 1797, 602, 1022, 13218, 616, 2141, 17031, 909, 11783, 1403, 1210, 30268, 1037, 532, 269, 547, 16838, 630, 1492, 9949, 264, 519, 1871, 568, 17031, 547, 519, 14282, 1256, 1297, 630, 272, 269, 476, 276, 568, 17031, 547, 476, 273, 267, 855, 476, 273, 269, 476, 276, 568, 849, 17031, 547, 476, 273, 1916, 305, 15929, 31353, 547, 519, 14282, 2898, 454, 6200, 9343, 604, 519, 20870, 7857, 630, 14140, 1297, 1354, 8918, 1448, 264, 540, 519, 1297, 568, 3152, 982, 610, 3160, 547, 476, 276, 649, 5180, 909, 543, 1039, 476, 272, 547, 3283, 540, 1297, 267, 952, 519, 20870, 7857, 540, 519, 1297, 568, 1447, 269, 1677, 5180, 519, 14282, 2898, 1297, 649, 723, 930, 3652, 269, 1403, 649, 1246, 1346, 3652, 1900, 676, 1900, 267, 596, 666, 5180, 519, 2898, 1297, 7157, 543, 3362, 563, 763, 7857, 630, 338, 264, 1310, 519, 630, 476, 272, 264, 616, 8719, 676, 269, 1548, 568, 476, 272, 269, 476, 279, 17031, 547, 519, 14282, 3283, 1205, 519, 4267, 596, 991, 267, 1631, 256, 700, 337, 9801, 5112, 278, 8618, 561, 337, 9801, 5112, 278, 8618, 476, 1556, 270, 5881, 270, 1001, 277, 6128, 1647, 1153, 12943, 1018, 568, 476, 272, 269, 476, 279, 269, 1411, 17031, 547, 519, 14282, 4627, 2195, 1747, 563, 1692, 1677, 18471, 1677, 634, 3026, 11732, 19940, 7089, 630, 5141, 657, 652, 6715, 518, 994, 2414, 5180, 547, 519, 14282, 2898, 596, 786, 991, 547, 2759, 519, 1297, 1055, 1310, 519, 4559, 6241, 267, 865, 2322, 513, 1899, 538, 1310, 519, 8918, 1448, 269, 1403, 519, 1297, 1310, 519, 1899, 630, 339, 5460, 338, 264, 568, 1447, 982, 476, 276, 5180, 519, 1297, 1524, 267, 543, 952, 519, 1297, 568, 476, 276, 610, 1657, 5180, 519, 1297, 269, 1924, 538, 1383, 476, 272, 596, 991, 547, 5180, 476, 10463, 269, 22550, 275, 547, 519, 14282, 2898, 1297, 269, 4595, 519, 1297, 538, 519, 20870, 338, 6241, 568, 1447, 982, 476, 276, 519, 1297, 568, 17031, 1524, 547, 476, 10463, 269, 769, 1383, 476, 273, 596, 786, 991, 547, 5180, 476, 28510, 269, 278, 2641, 5952, 547, 519, 14282, 2898, 269, 4595, 519, 1297, 538, 519, 20870, 338, 6241, 568, 476, 276, 610, 1657, 1287, 596, 5180, 519, 1297, 909, 547, 476, 28071, 563, 1607, 3381, 786, 13599, 707, 827, 681, 15929, 547, 519, 3026, 11732, 19940, 7089, 269, 681, 15929, 31353, 3381, 281, 596, 32353, 2593, 11320, 2255, 286, 341, 284, 345, 331, 299, 277, 292, 336, 274, 296, 327, 301, 304, 454, 293, 23341, 10341, 13174, 5426, 476, 272, 454, 305, 15929, 547, 519, 3026, 11732, 19940, 7089, 609, 31353, 454, 8702, 547, 681, 15929, 547, 519, 3026, 11732, 19940, 7089, 609, 31353, 609, 6004, 269, 808, 256, 10261, 948, 609, 875, 547, 5180, 17447, 547, 519, 14282, 2898, 1297, 286, 1411, 2811, 538, 519, 1318, 1747, 256, 6787, 596, 2811, 1175, 4358, 856, 267, 610, 991, 513, 2656, 18589, 615, 267, 713, 568, 519, 3381, 585, 596, 952, 596, 2811, 3168, 585, 24263, 17447, 547, 519, 14282, 2898, 1297, 948, 269, 6004, 269, 808, 786, 979, 998, 1806, 543, 2491, 519, 3268, 540, 24263, 17447, 547, 519, 14282, 2898, 1297, 269, 6168, 4569, 609, 6004, 269, 808, 281, 901, 8756, 3091, 14292, 7044, 16634, 18471, 476, 272, 269, 279, 1677, 634, 3026, 11732, 19940, 7089, 563, 305, 895, 476, 272, 269, 279, 1677, 634, 3026, 11732, 19940, 7089, 269, 634, 476, 273, 538, 519, 4627, 2195, 1747, 21448, 909, 547, 476, 274, 1317, 519, 7857, 547, 519, 1318, 538, 519, 8536, 2195, 1747, 568, 476, 279, 269, 1548, 568, 476, 1704, 269, 476, 277, 17031, 547, 519, 14282, 835, 286, 681, 15903, 547, 519, 14282, 2898, 1297, 267, 476, 1704, 269, 476, 277, 568, 5111, 3160, 547, 476, 1240, 269, 0, 289, 8344, 4162, 540, 519, 1093, 1231, 9116, 807, 8833, 540, 645, 28087, 807, 9184, 659, 328, 2637, 333, 611, 3780, 941, 11567, 593, 1093, 1231, 9116, 807, 676, 8047, 6901, 693, 2947, 5210, 630, 9792, 281, 476, 1626, 9180, 268, 2764, 9180, 1040, 769, 1840, 267, 519, 1198, 540, 556, 2130, 645, 269, 9184, 659, 328, 593, 519, 1079, 2030, 2249, 267, 12832, 582, 10005, 9184, 659, 636, 630, 339, 984, 8829, 264, 630, 22069, 534, 19687, 264, 543, 661, 25045, 12643, 807, 5102, 7815, 3234, 320, 630, 292, 25045, 12643, 807, 576, 2801, 264, 630, 17763, 1231, 9116, 807, 264, 729, 11567, 269, 634, 2837, 1673, 2570, 4293, 941, 3964, 585, 519, 11095, 942, 585, 5798, 543, 4212, 3562, 14194, 738, 5123, 267, 11174, 9019, 267, 2937, 4775, 1272, 1606, 3966, 267, 840, 268, 990, 760, 3789, 1974, 267, 2085, 10391, 905, 322, 1495, 640, 267, 543, 3023, 268, 7806, 1470, 269, 634, 2539, 2837, 29676, 585, 4212, 23923, 618, 267, 1646, 689, 4212, 547, 2937, 543, 585, 9065, 760, 3789, 531, 4079, 941, 6059, 607, 1134, 607, 519, 2539, 2837, 12939, 585, 9065, 760, 3789, 269, 634, 29676, 941, 476, 1321, 9180, 267, 476, 1691, 9180, 267, 476, 279, 9180, 543, 476, 1691, 9180, 267, 6606, 269, 17378, 23923, 618, 2838, 476, 14695, 1554, 1673, 1122, 4181, 543, 519, 3003, 1646, 883, 4079, 476, 27628, 1554, 1673, 1122, 4181, 269, 18200, 1275, 729, 5207, 693, 476, 1626, 9180, 267, 1373, 476, 866, 269, 274, 260, 538, 519, 4212, 22533, 543, 476, 4817, 260, 689, 4212, 547, 2937, 269, 634, 840, 268, 990, 760, 3789, 1974, 543, 519, 2937, 1272, 1606, 3966, 941, 476, 2412, 543, 476, 11740, 1554, 1673, 1122, 4181, 269, 634, 2085, 10391, 905, 322, 1495, 640, 540, 645, 269, 9184, 659, 328, 729, 4330, 676, 513, 2837, 17466, 2203, 269, 634, 5021, 3232, 905, 322, 1495, 640, 2557, 729, 25189, 1310, 476, 2568, 543, 476, 10219, 1554, 1673, 1122, 4181, 585, 645, 269, 9184, 659, 328, 556, 1563, 593, 10269, 543, 1093, 1231, 9116, 807, 267, 6606, 269, 634, 905, 322, 1495, 640, 729, 5207, 585, 645, 269, 9184, 659, 328, 556, 1563, 593, 1093, 1231, 9116, 807, 269, 634, 3023, 268, 7806, 1470, 729, 538, 12797, 540, 8951, 693, 543, 1657, 476, 866, 9180, 543, 2799, 609, 2837, 269, 6480, 23660, 540, 519, 2121, 10285, 2557, 267, 519, 17271, 2557, 540, 2333, 267, 519, 13113, 2557, 540, 2333, 267, 519, 1611, 5108, 942, 543, 519, 30945, 942, 941, 5833, 269, 589, 2318, 5276, 2078, 729, 1336, 1063, 678, 544, 543, 2837, 267, 519, 2418, 8151, 689, 476, 271, 269, 9826, 273, 693, 476, 1626, 9180, 547, 476, 271, 269, 14695, 274, 693, 476, 2764, 9180, 563, 5522, 1218, 1102, 6479, 609, 513, 2582, 24549, 648, 2249, 666, 4482, 2067, 14763, 998, 519, 12998, 540, 24549, 648, 8114, 1027, 2030, 2019, 520, 3796, 630, 295, 7709, 26394, 1040, 1717, 267, 896, 2067, 2175, 2371, 616, 1419, 16091, 676, 811, 982, 835, 24549, 648, 2249, 269, 1284, 11567, 519, 10153, 16371, 3210, 540, 513, 2489, 626, 11975, 5839, 1503, 2684, 639, 1608, 580, 16394, 639, 547, 14723, 1102, 6479, 609, 1079, 1606, 13607, 1540, 17178, 21746, 267, 31679, 337, 1415, 577, 639, 2712, 6776, 2801, 267, 610, 3039, 890, 778, 21428, 573, 267, 3733, 345, 639, 1086, 545, 2801, 267, 5288, 269, 2371, 1102, 6479, 609, 1312, 24549, 648, 2249, 538, 513, 962, 2389, 4209, 10153, 2399, 10309, 1305, 909, 269, 769, 1840, 267, 519, 23466, 540, 19979, 24025, 689, 2371, 6534, 547, 2789, 610, 2582, 24549, 800, 941, 4857, 676, 3154, 24885, 2762, 2173, 817, 26563, 4479, 630, 24774, 5336, 306, 1040, 634, 8272, 573, 12961, 4951, 513, 6793, 3210, 547, 2019, 520, 3796, 19501, 689, 2371, 8195, 1102, 6479, 609, 17178, 21746, 543, 30293, 982, 547, 1346, 19501, 689, 2371, 1102, 6479, 676, 1175, 835, 24549, 648, 267, 28000, 540, 519, 2249, 269, 10395, 1441, 609, 2164, 689, 3105, 2090, 896, 2147, 2175, 649, 18505, 602, 713, 729, 513, 5114, 547, 24549, 648, 13251, 2030, 2019, 520, 3796, 269, 634, 717, 290, 5336, 306, 2079, 4951, 602, 2582, 24549, 800, 13251, 519, 5305, 540, 476, 2420, 3606, 7135, 607, 3379, 609, 519, 2019, 520, 3796, 19501, 689, 2973, 2371, 269, 26592, 9382, 7000, 602, 519, 2179, 540, 19979, 24025, 19501, 689, 14723, 1102, 6479, 676, 1312, 24549, 2803, 729, 3648, 2362, 982, 602, 689, 14723, 1102, 6479, 676, 513, 2582, 24549, 648, 269, 5047, 267, 1079, 2189, 6878, 941, 17895, 8271, 4857, 630, 5976, 513, 5506, 540, 476, 11463, 260, 543, 476, 11011, 9077, 6606, 264, 538, 2019, 520, 3796, 19501, 676, 2789, 24549, 800, 8697, 2371, 281, 513, 268, 4506, 756, 699, 928, 543, 546, 1712, 1097, 331, 21449, 622, 563, 3849, 738, 15325, 267, 11095, 942, 543, 11174, 9019, 540, 7402, 1513, 807, 1106, 6242, 717, 25301, 630, 295, 2096, 523, 30601, 281, 7442, 3559, 514, 13160, 264, 8934, 527, 1944, 519, 7313, 1231, 9116, 807, 13001, 560, 1778, 540, 645, 28087, 807, 9184, 659, 328, 630, 294, 3317, 611, 3780, 264, 630, 295, 558, 30601, 281, 589, 2917, 16967, 13160, 264, 593, 7313, 1231, 9116, 807, 630, 292, 25045, 12643, 807, 5102, 7815, 3234, 320, 4024, 323, 4700, 941, 11567, 538, 8047, 6901, 693, 1614, 5210, 281, 476, 1626, 11019, 290, 267, 476, 2420, 11019, 290, 543, 476, 2764, 11019, 290, 269, 5015, 267, 519, 8934, 527, 1355, 781, 13283, 585, 1114, 12586, 1998, 5933, 540, 519, 3043, 12187, 729, 5462, 693, 476, 2190, 269, 276, 11019, 290, 269, 634, 14438, 540, 661, 269, 1106, 6242, 8519, 609, 2837, 689, 835, 3923, 693, 476, 1626, 11019, 290, 547, 8370, 2395, 693, 476, 2764, 11019, 290, 269, 589, 2539, 2837, 12939, 540, 476, 1556, 11019, 290, 585, 2937, 1646, 729, 1336, 269, 634, 1646, 540, 11174, 8934, 527, 6950, 538, 645, 269, 9184, 659, 328, 16768, 811, 982, 1079, 3275, 693, 519, 9803, 2837, 267, 855, 729, 1152, 476, 1691, 2395, 950, 2837, 729, 476, 2764, 11019, 290, 269, 634, 2539, 2837, 12939, 585, 1799, 1155, 1646, 729, 476, 1724, 269, 274, 11019, 290, 267, 27548, 606, 3328, 540, 476, 21709, 1554, 13001, 19592, 4181, 585, 519, 12032, 540, 1646, 883, 4079, 269, 19565, 9019, 729, 1164, 267, 8795, 689, 827, 476, 2004, 260, 693, 476, 1626, 11019, 290, 547, 827, 476, 1789, 260, 693, 476, 2420, 11019, 290, 543, 476, 2764, 11019, 290, 269, 661, 269, 1106, 6242, 9053, 547, 9065, 760, 21627, 538, 519, 476, 275, 628, 1128, 541, 543, 3341, 1575, 531, 5933, 540, 645, 269, 9184, 659, 328, 4553, 676, 519, 476, 273, 526, 543, 476, 274, 6113, 1128, 1513, 269, 634, 13283, 585, 519, 7782, 531, 3942, 729, 1970, 269, 634, 8934, 527, 1355, 1031, 782, 1128, 1513, 540, 519, 3043, 12187, 585, 3984, 16567, 267, 609, 1100, 7805, 3604, 1063, 519, 5933, 269, 634, 3328, 8653, 540, 519, 9065, 760, 3789, 14302, 729, 2185, 3764, 269, 5915, 4919, 6724, 941, 7229, 689, 1272, 7515, 9112, 689, 519, 1239, 269, 634, 17271, 2557, 540, 2333, 630, 3944, 264, 543, 519, 2121, 10285, 2557, 630, 305, 271, 264, 2799, 609, 2837, 689, 476, 271, 269, 271, 2767, 280, 1554, 6629, 272, 693, 476, 1626, 11019, 290, 547, 476, 271, 269, 24487, 279, 1554, 6629, 272, 693, 476, 2764, 11019, 290, 543, 689, 827, 476, 1321, 693, 476, 1626, 11019, 290, 547, 827, 476, 5780, 693, 476, 2764, 11019, 290, 267, 6606, 563, 763, 1272, 3349, 4162, 540, 519, 4874, 874, 698, 748, 8272, 573, 5839, 1503, 2684 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 615, 28357, 4031, 269, 17957, 267, 824, 6082, 899, 4516, 543, 5125, 723, 20888, 3677, 2338, 540, 26219, 15076, 998, 4357, 13384, 11208, 3292, 543, 19268, 25557, 7341, 780, 4089, 476, 276, 281, 15783, 10298, 454, 11754, 7675, 519, 26219, 21345, 6433, 3340, 1279, 3856, 7029, 543, 1617, 10561, 5698, 269, 25792, 3435, 4125, 14304, 3486, 23372, 547, 3035, 513, 4264, 24044, 13933, 282, 2810, 7616, 585, 19493, 5351, 3906, 3246, 2565, 1489, 547, 15076, 282, 10115, 538, 3872, 3255, 585, 1453, 4299, 676, 7142, 12761, 282, 5807, 2804, 1646, 538, 3984, 2950, 547, 2569, 6735, 585, 2200, 282, 543, 3384, 4244, 11444, 585, 3656, 9194, 269, 1635, 7598, 891, 2994, 267, 519, 2518, 2146, 666, 960, 1927, 547, 11574, 519, 7092, 3361, 676, 713, 5571, 31685, 780, 6962, 912, 8139, 519, 26219, 21345, 6433, 3322, 6313, 922, 3140, 5072, 267, 7421, 2797, 6384, 267, 6236, 14227, 5222, 267, 543, 10442, 6069, 3435, 269, 3414, 2502, 609, 713, 1950, 3390, 267, 1053, 786, 11349, 6568, 543, 8296, 585, 1346, 4171, 2729, 723, 1044, 909, 2105, 676, 5208, 543, 20655, 269, 5047, 267, 789, 786, 1451, 875, 7104, 2962, 543, 5483, 3375, 6194, 666, 3565, 547, 2679, 513, 811, 12581, 1158, 1141, 1169, 1268, 814, 519, 4316, 547, 8853, 269, 0, 2080, 568, 606, 1349, 689, 513, 2546, 912, 257, 291, 877, 14472, 531, 785, 9370, 6577, 454, 10112, 1539, 622, 29533, 267, 4000, 19510, 693, 932, 987, 600, 5600, 630, 763, 9576, 4659, 540, 4139, 16457, 1040, 2701, 729, 9167, 7981, 11724, 894, 585, 20528, 689, 5181, 476, 1001, 271, 2394, 5239, 476, 1001, 274, 563, 763, 20404, 945, 616, 1981, 532, 741, 2729, 538, 1931, 547, 1205, 547, 2342, 2097, 689, 16850, 267, 594, 21531, 267, 15787, 855, 849, 519, 24125, 540, 4000, 269, 9167, 814, 9250, 267, 538, 476, 1001, 275, 267, 968, 1492, 10609, 691, 537, 332, 1184, 5608, 513, 1788, 799, 2832, 568, 547, 4339, 1996, 10363, 9194, 689, 713, 3148, 269, 634, 9167, 1935, 547, 9316, 609, 513, 12512, 267, 799, 568, 2938, 267, 676, 1082, 6608, 267, 607, 3743, 585, 10363, 9194, 543, 1480, 19338, 267, 814, 2016, 4473, 547, 513, 18512, 7521, 563, 763, 9167, 568, 6849, 606, 13778, 27614, 540, 15076, 543, 20404, 689, 4000, 543, 519, 5664, 5101, 267, 609, 7366, 540, 5215, 21945, 593, 2342, 779, 24528, 267, 1981, 532, 741, 2729, 547, 9101, 689, 10795, 4655, 267, 20655, 543, 6710, 538, 3406, 540, 513, 1732, 2104, 269, 5221, 540, 519, 22406, 9588, 540, 519, 26219, 21345, 6433, 267, 5375, 2923, 3795, 538, 2487, 1395, 339, 3010, 2237, 606, 3573, 543, 2143, 1576, 1770, 538, 513, 1837, 585, 2852, 1053, 1644, 547, 519, 1349, 1657, 267, 2519, 593, 834, 306, 344, 6929, 25083, 324, 19822, 257, 607, 851, 540, 834, 28765, 22723, 13493, 1315, 23089, 1315, 5664, 5101, 2668, 1684, 711, 1175, 1592, 2035, 267, 855, 1020, 1142, 835, 538, 1469, 1354, 3001, 547, 519, 1985, 267, 607, 649, 4225, 3178, 540, 1620, 543, 3102, 3408, 540, 519, 1641, 2339, 936, 4560, 780, 2521, 547, 1384, 268, 3550, 538, 3829, 3795, 540, 519, 2035, 563, 268, 2422, 513, 2239, 267, 2219, 4538, 2511, 563, 268, 4045, 519, 1888, 609, 1699, 3466, 267, 1483, 3734, 1806, 267, 610, 2487, 2090, 563, 2710, 711, 1331, 513, 2140, 267, 2606, 2453, 267, 610, 2592, 269, 3503, 519, 1543, 2047, 269, 0, 3848, 476, 1015, 281, 1133, 16225, 532, 10515, 6776, 3203, 910, 634, 18903, 19992, 9147, 7734, 692, 5970, 596, 2479, 4371, 606, 2025, 1433, 538, 707, 3946, 543, 14952, 539, 693, 922, 4070, 286, 1215, 1281, 621, 4383, 547, 1832, 782, 922, 3817, 16856, 267, 1175, 7996, 547, 2671, 2984, 689, 5553, 3516, 286, 4270, 267, 1250, 8284, 1686, 12439, 267, 5965, 547, 4685, 883, 519, 4241, 7706, 540, 10515, 6776, 3203, 543, 12260, 519, 11580, 3297, 3504, 1433, 14708, 2439, 6524, 11362, 883, 10515, 6776, 3203, 4481, 267, 1577, 781, 1101, 2263, 875, 3425, 5912, 539, 689, 524, 13246, 727, 20801, 338, 547, 811, 10375, 2835, 269, 2480, 2651, 338, 941, 1500, 540, 1279, 9212, 267, 2901, 18705, 689, 13099, 344, 6350, 610, 533, 1105, 618, 267, 799, 1131, 1287, 581, 18202, 909, 1107, 3833, 3579, 8197, 256, 1717, 267, 4466, 513, 1880, 4062, 540, 1344, 1369, 971, 513, 20801, 1223, 6961, 4101, 543, 942, 21791, 269, 1677, 14458, 1919, 267, 1004, 11827, 1018, 2968, 1634, 607, 519, 1412, 322, 617, 1410, 9538, 16514, 1945, 2147, 547, 2221, 781, 21641, 282, 5094, 3762, 3808, 2059, 835, 6316, 267, 2870, 513, 11741, 543, 3593, 7888, 3898, 269, 901, 19782, 1190, 8798, 21490, 519, 1259, 585, 1713, 7760, 538, 3332, 11091, 543, 10333, 780, 3086, 267, 1577, 721, 3460, 1394, 538, 942, 1472, 519, 2034, 2540, 9460, 267, 1141, 5527, 11542, 607, 519, 2295, 1633, 540, 2038, 8567, 269, 4438, 713, 5736, 267, 2199, 5159, 2919, 741, 2189, 2511, 267, 1572, 10515, 6776, 3203, 267, 6353, 676, 6946, 3270, 267, 7524, 4778, 267, 543, 4154, 6978, 30996, 880, 906, 269, 1452, 7499, 2609, 1336, 741, 3501, 17198, 538, 10723, 5931, 267, 7393, 5289, 2833, 998, 3308, 9423, 269, 7324, 1585, 13144, 11911, 547, 10515, 6776, 3203, 267, 835, 31438, 3226, 6505, 281, 519, 2504, 540, 12622, 902, 585, 3909, 22251, 780, 5331, 3054, 1373, 513, 1085, 11171, 610, 606, 7376, 1282, 1346, 2053, 269, 1411, 616, 2016, 513, 4305, 547, 1711, 513, 9434, 15266, 547, 5132, 1210, 3662, 2960, 267, 32028, 8142, 267, 11308, 12545, 267, 543, 2067, 23416, 269, 1548, 1131, 596, 1374, 286, 14190, 803, 547, 3802, 596, 998, 1142, 5057, 540, 891, 15999, 13144, 780, 5575, 267, 9952, 4600, 5423, 3662, 32675, 676, 7738, 267, 16150, 532, 267, 543, 5969, 873, 1524, 547, 2450, 269, 4495, 5701, 267, 789, 9927, 883, 1139, 548, 533, 1105, 618, 267, 4712, 547, 4309, 1913, 540, 7326, 543, 20174, 269, 3973, 3357, 519, 4074, 1190, 1184, 540, 25718, 13411, 20072, 5196, 1367, 3817, 23939, 269, 4793, 1466, 729, 1883, 1934, 2094, 1022, 12161, 5921, 4358, 936, 2439, 5629, 23652, 267, 891, 10475, 3817, 2877, 4027, 543, 3919, 269, 4935, 267, 11308, 6227, 941, 20077, 267, 1419, 24224, 609, 12166, 18305, 6273, 676, 2470, 610, 7493, 2035, 269, 6931, 523, 16060, 6039, 607, 519, 2178, 22449, 8066, 3388, 1927, 269, 4635, 513, 4480, 1572, 5832, 19173, 267, 519, 19771, 540, 25649, 3817, 941, 5532, 547, 1106, 513, 4396, 12636, 269, 7053, 267, 519, 3498, 540, 10477, 16560, 2609, 3826, 1117, 1272, 883, 891, 25704, 267, 1818, 873, 3020, 16782, 4502, 8497, 780, 7437, 4974, 10515, 6776, 3203, 267, 649, 2744, 3407, 4030, 883, 3140, 2553, 1031, 547, 8190, 1480, 1702, 1247, 8098, 3931, 4190, 1568, 540, 26274, 269, 1635, 1565, 827, 1114, 2326, 543, 3157, 3238, 538, 14335, 3504, 2835, 267, 649, 666, 5660, 519, 4674, 16539, 538, 17420, 2686, 6561, 585, 2104, 5481, 269, 1924, 1985, 942, 596, 3180, 513, 1433, 267, 3314, 519, 6909, 3460, 621, 814, 1044, 593, 1107, 689, 18803, 20297, 607, 20801, 338, 547, 4742, 10427, 9479, 3808, 676, 519, 2648, 543, 5578, 540, 9118, 2043, 2429, 1686, 269, 0, 2080, 568, 606, 1349, 689, 513, 2546, 912, 257, 30706, 13603, 909, 513, 1433, 543, 2219, 267, 968, 20756, 267, 875, 798, 782, 891, 3817, 3251, 1927, 1510, 9991, 6306, 9495, 898, 779, 899, 972, 779, 930, 5728, 9059, 8345, 3330, 256, 1656, 538, 938, 1158, 540, 2220, 31441, 13819, 543, 3059, 14509, 267, 713, 1522, 3100, 899, 513, 6263, 1469, 269, 1809, 267, 19315, 7911, 267, 950, 602, 835, 2629, 2985, 689, 707, 979, 3562, 3434, 1504, 610, 602, 2915, 3887, 1563, 3209, 6238, 547, 530, 984, 1076, 286, 7754, 545, 7154, 256, 667, 633, 609, 803, 883, 519, 1158, 540, 1433, 321, 4193, 267, 543, 1577, 779, 19586, 713, 9814, 1927, 563, 9349, 321, 4193, 286, 898, 779, 513, 3575, 540, 1148, 543, 2257, 269, 9664, 1205, 694, 1233, 267, 1350, 4240, 267, 610, 1256, 25411, 9482, 267, 1287, 2879, 1872, 569, 20386, 909, 538, 513, 19756, 3382, 269, 966, 11798, 14504, 256, 2659, 1433, 779, 4712, 585, 930, 3978, 2542, 563, 11771, 1231, 540, 3883, 321, 4193, 454, 30706, 9289, 875, 649, 6410, 689, 1346, 1279, 267, 16602, 20801, 338, 547, 13561, 2835, 286, 2913, 779, 2520, 2131, 856, 513, 3787, 593, 713, 2336, 3383, 267, 20801, 338, 941, 519, 744, 19199, 269, 6056, 1279, 9212, 630, 18478, 540, 13099, 344, 6350, 610, 533, 1105, 618, 264, 18202, 909, 269, 8111, 3579, 267, 855, 4952, 3843, 547, 1265, 513, 1808, 1899, 538, 602, 256, 589, 3787, 540, 513, 31484, 548, 267, 1318, 286, 9373, 519, 13798, 1410, 256, 898, 779, 899, 519, 12498, 4528, 540, 938, 2413, 1433, 269, 8525, 3010, 2237, 606, 2502, 543, 3015, 1576, 1770, 538, 513, 1837, 585, 1647, 1153, 1053, 1644, 547, 519, 1349, 1657, 267, 2519, 593, 834, 290, 641, 6776, 3203, 257, 607, 851, 540, 834, 11286, 1315, 3778, 1315, 9147, 1299, 18190, 2668, 634, 1543, 1058, 581, 3358, 585, 1647, 1153, 1053, 1510, 1991, 1702, 540, 519, 1888, 780, 2521, 547, 1384, 268, 3629, 2143, 3137, 267, 2057, 2930, 3822, 267, 543, 1459, 519, 2093, 538, 513, 3551, 267, 2239, 3159, 563, 268, 3417, 1806, 547, 1118, 519, 1641, 3839, 543, 3078, 585, 1762, 1647, 1153, 1053, 563, 268, 3680, 4304, 519, 1357, 1349, 538, 519, 1837, 269, 1684, 711, 1331, 513, 2140, 610, 2606, 2453, 269, 3399, 1603, 519, 1543, 2047, 269, 0, 3848, 476, 272, 281, 4985, 547, 17389, 1325, 613, 30944, 543, 17389, 20492, 692, 1103, 519, 5318, 5251, 540, 2413, 6128, 267, 1079, 954, 22366, 21437, 910, 17389, 620, 613, 30944, 543, 17389, 2516, 910, 723, 7153, 607, 11358, 22225, 30343, 938, 1620, 540, 6024, 1623, 5471, 1845, 269, 1452, 9988, 1265, 7096, 3156, 2066, 1585, 10459, 267, 1519, 6323, 630, 3602, 789, 4766, 5726, 4031, 1070, 4702, 630, 514, 1852, 1949, 543, 17562, 1070, 543, 2780, 2257, 630, 1721, 25563, 1040, 634, 6662, 540, 713, 3184, 568, 547, 2482, 519, 24536, 585, 3695, 519, 1623, 25027, 2078, 1063, 891, 1079, 3532, 7493, 687, 780, 272, 269, 272, 21070, 28805, 543, 1325, 613, 30944, 692, 2171, 2253, 676, 11291, 532, 930, 2596, 8847, 17640, 547, 6152, 5624, 543, 620, 613, 30944, 269, 9717, 513, 2361, 674, 630, 25669, 267, 519, 1483, 2338, 681, 610, 1950, 2338, 595, 1070, 513, 6152, 2230, 966, 936, 674, 5161, 540, 513, 1305, 540, 10321, 6806, 896, 1840, 543, 22185, 8691, 4238, 17598, 1978, 24936, 1682, 602, 2327, 2497, 543, 11007, 269, 1323, 7223, 589, 936, 674, 11160, 906, 713, 5943, 676, 6220, 513, 21536, 710, 541, 1587, 267, 1775, 4318, 1421, 513, 4786, 2433, 589, 6398, 589, 9890, 589, 971, 602, 1384, 9217, 264, 4889, 18356, 281, 630, 320, 2608, 536, 264, 2608, 524, 815, 513, 2608, 630, 321, 2608, 524, 1070, 3980, 478, 513, 267, 536, 267, 524, 17995, 589, 3248, 23870, 264, 20518, 583, 2032, 530, 25331, 6745, 269, 6152, 1840, 281, 513, 2608, 630, 321, 1341, 524, 264, 815, 513, 2608, 536, 1341, 513, 2608, 524, 267, 630, 320, 1341, 536, 264, 2608, 524, 815, 513, 2608, 524, 1341, 536, 2608, 524, 267, 3980, 478, 513, 267, 536, 267, 524, 17995, 589, 3248, 31702, 264, 3281, 520, 2225, 609, 9470, 1513, 281, 678, 2608, 263, 320, 2608, 536, 264, 815, 630, 337, 2608, 513, 264, 2608, 536, 815, 513, 2608, 630, 337, 2608, 536, 1070, 3980, 478, 678, 17995, 674, 267, 513, 267, 536, 17995, 589, 780, 13010, 267, 950, 9280, 609, 606, 3606, 3959, 1634, 607, 862, 583, 18356, 630, 320, 2608, 536, 815, 536, 2608, 513, 267, 3980, 478, 513, 267, 536, 17995, 589, 1070, 519, 7223, 3587, 1997, 894, 269, 1717, 267, 21177, 713, 10421, 5012, 721, 1524, 513, 4241, 2619, 2509, 1875, 12431, 1539, 894, 620, 613, 30944, 267, 1141, 1761, 22114, 899, 1884, 545, 2174, 583, 18356, 630, 320, 2608, 536, 815, 910, 321, 2608, 513, 267, 3980, 478, 513, 267, 536, 17995, 589, 264, 8451, 267, 4259, 519, 3942, 585, 2417, 29293, 780, 272, 269, 273, 28038, 17389, 1325, 613, 30944, 692, 301, 3139, 1310, 20153, 639, 17389, 267, 945, 10660, 1229, 741, 1353, 538, 519, 3735, 13524, 2540, 267, 17389, 620, 613, 30944, 2099, 31208, 2572, 2711, 14759, 1369, 513, 2016, 17389, 1895, 630, 6518, 4927, 581, 5189, 16172, 1040, 4813, 958, 3989, 267, 513, 17389, 7223, 575, 936, 674, 568, 606, 7223, 1439, 15735, 609, 513 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 568, 5631, 7768, 540, 513, 3984, 267, 606, 10763, 3684, 267, 513, 10178, 267, 513, 8737, 28237, 7814, 821, 21689, 267, 513, 5386, 335, 32535, 7814, 821, 21689, 543, 2011, 28954, 269, 2986, 873, 267, 519, 3984, 568, 1500, 909, 540, 513, 7406, 267, 606, 29504, 2019, 1393, 267, 513, 15524, 767, 16405, 267, 1547, 16753, 811, 454, 22998, 6240, 543, 3498, 2039, 540, 11425, 1984, 318, 576, 618, 4429, 305, 617, 1984, 568, 513, 2186, 540, 1984, 4171, 8860, 1560, 568, 5374, 11493, 540, 21432, 9274, 543, 16496, 4027, 540, 5386, 9274, 267, 666, 581, 1031, 607, 513, 1101, 1362, 1930, 15132, 3726, 8860, 267, 4922, 1031, 538, 5841, 5070, 267, 3492, 15249, 267, 3114, 2030, 267, 3167, 1379, 543, 824, 13623, 540, 519, 1101, 1362, 8860, 267, 1587, 9325, 2450, 616, 1614, 5686, 540, 2489, 11425, 1984, 3267, 16753, 811, 454, 30761, 7085, 11809, 784, 329, 26820, 14086, 7557, 10320, 454, 763, 11554, 20232, 540, 11831, 7085, 281, 901, 3684, 568, 513, 22403, 4806, 3440, 1984, 609, 8880, 20425, 7432, 10591, 267, 9141, 676, 9018, 10591, 543, 1079, 5577, 11825, 269, 634, 1570, 4422, 547, 519, 1101, 5577, 704, 1310, 519, 3303, 2718, 676, 519, 844, 650, 14788, 689, 519, 8023, 3937, 269, 16753, 811, 454, 275, 270, 1691, 270, 1220, 280, 6440, 11831, 1984, 267, 4252, 17819, 3684, 267, 4252, 8860, 12227, 11831, 1984, 630, 323, 787, 610, 6632, 1184, 264, 13335, 281, 11831, 1984, 568, 519, 1883, 3937, 585, 8860, 1310, 519, 11493, 1184, 267, 799, 568, 4922, 1031, 538, 519, 5478, 6080, 267, 971, 607, 9160, 267, 3623, 6510, 267, 1007, 2679, 1570, 267, 18195, 800, 1570, 267, 13226, 267, 7542, 9317, 4496, 267, 1875, 2536, 9317, 4496, 543, 4837, 23907, 543, 666, 581, 1031, 585, 519, 3819, 543, 6632, 3267, 16753, 811, 454, 1440, 4532, 2118, 543, 2324, 540, 3440, 1984, 538, 575, 327, 3570, 454, 23895, 618, 1984, 2324, 6240, 1547, 11831, 7085, 22391, 18704, 8734, 476, 1789, 476, 1001, 276, 289, 17920, 631, 21135, 476, 274, 570, 21764, 5508, 28132, 7728, 21850, 29767, 667, 9128, 2562, 296, 3582, 32577, 2975, 11553, 2562, 5746, 303, 4041, 12164, 22552, 10813, 3582, 20796, 32578, 5084, 309, 19611, 8980, 2464, 6730, 20591, 4696, 309, 19611, 8980, 2464, 6673, 12195, 2975, 25972, 661, 12702, 25972, 476, 275, 645, 17920, 631, 21135, 21850, 29767, 898, 568, 3608, 1907, 585, 8860, 1082, 2326, 883, 5386, 8869, 1703, 616, 1079, 2010, 540, 8860, 519, 3819, 1547, 16753, 811, 454, 22998, 20232, 2986, 30623, 541, 7085, 1923, 19783, 24759, 267, 595, 821, 4429, 15507, 2324, 8034, 794, 540, 17200, 1984, 8302, 547, 1265, 707, 991, 269, 1547, 2324, 6240, 540, 6151, 1984, 538, 9160, 2030, 5147, 476, 1015, 267, 476, 1001, 273, 267, 22227, 5510, 786, 1984, 2324, 6240, 1107, 595, 14875, 5599, 3498, 1548, 1772, 11831, 7085, 1656, 4706, 11554, 20232, 286, 1547, 16753, 811, 454, 30761, 7085, 19783, 454, 30761, 7085, 269, 7392, 2433, 14086, 8869, 2504, 18452, 12025, 2433, 476, 1708, 276, 7825, 6713, 539, 10049, 2433, 11635, 7626, 10241, 2433, 24533, 267, 5755, 267, 1379, 2030, 964, 5285, 584, 1436, 267, 12669, 21395, 267, 6149, 2872, 267, 1875, 5471, 28351, 7777, 267, 4070, 1570, 267, 23907, 269, 11137, 21188, 17972, 21188, 11554, 20232, 21188, 10410, 5874, 21188, 634, 3440, 1984, 568, 513, 1883, 3937, 547, 20836, 519, 16760, 2326, 267, 543, 519, 3440, 1984, 568, 4922, 3267, 16753, 811, 454, 22998, 20232, 2986, 26432, 9995, 7085, 454, 11529, 6240, 540, 7299, 5070, 1984, 269, 6240, 540, 20425, 8860, 15599, 2089, 1149, 1547, 6240, 540, 20425, 8860, 15599, 2089, 1149, 269, 887, 806, 543, 3937, 538, 9160, 2872, 1018, 568, 519, 1034, 7199, 7299, 1984, 5599, 8302, 3937, 1547, 3267, 5070, 3440, 1984, 2324, 6240, 7824, 13334, 476, 1015, 3967, 476, 1001, 275, 5070, 3440, 1984, 2324, 6240, 7824, 3267, 16753, 811, 454, 30761, 7085, 11879, 17726, 25115, 14409, 5450, 718, 21395, 454, 288, 11831, 7085, 11879, 17726, 630, 716, 1302, 3440, 267, 11425, 267, 17985, 610, 590, 8980, 264, 568, 519, 3432, 693, 799, 519, 25916, 531, 4229, 3160, 14965, 4229, 693, 519, 1984, 7387, 5257, 338, 3330, 2627, 543, 1100, 11084, 786, 2887, 689, 922, 2990, 5196, 519, 7387, 269, 634, 11052, 2630, 2337, 2491, 1018, 4422, 593, 3330, 513, 1984, 607, 3432, 9775, 269, 2422, 938, 2228, 4542, 634, 1984, 3432, 568, 3335, 3989, 607, 519, 2600, 540, 519, 11933, 3749, 3267, 16753, 811, 454, 22998, 20232, 540, 1230, 14846, 11831, 7085, 14086, 4429, 272, 269, 1879, 519, 3440, 1984, 13333, 693, 3339, 3432, 267, 3440, 1984, 1560, 786, 1847, 9764, 569, 2687, 547, 922, 4087, 3330, 519, 1984, 8546, 269, 476, 273, 269, 1703, 616, 1079, 5686, 540, 3350, 10092, 538, 1984, 8546, 585, 3440, 1984, 281, 835, 568, 519, 3440, 1984, 7575, 16057, 2059, 609, 519, 22902, 2687, 547, 519, 3950, 540, 3492, 878, 9095, 338, 269, 16753, 811, 454, 30761, 1984, 267, 299, 830, 3440, 1984, 267, 13051, 1030, 545, 2747, 3440, 1984, 267, 576, 618, 4429, 307, 784, 329, 807, 11633, 16811, 6212, 593, 3440, 1984, 8860, 2872, 267, 9160, 2679, 2326, 267, 12669, 17790, 26005, 267, 27414, 29137, 3937, 7299, 8860, 5663, 267, 5122, 12957, 267, 1788, 1374, 543, 4070, 267, 3092, 269, 15733, 543, 2533, 3382, 811, 982, 476, 2568, 2477, 543, 4525, 267, 3246, 5561, 609, 7471, 267, 782, 1037, 267, 3318, 1788, 3435, 269, 16753, 811, 454, 26581, 7434, 11831, 25416, 7085, 13583, 25033, 267, 11831, 7085, 4429, 763, 11554, 20232, 540, 11831, 7085, 281, 901, 3684, 568, 513, 22403, 4806, 3440, 1984, 609, 8880, 20425, 7432, 10591, 267, 5397, 676, 9018, 10591, 543, 1079, 5577, 11825, 269, 634, 1570, 4422, 547, 519, 1101, 5577, 704, 1310, 519, 3303, 2718, 676, 519, 844, 650, 14788, 689, 519, 8023, 3937, 269, 16753, 811, 454, 22998, 20232, 2986, 21984, 7085, 18741, 333, 7233, 454, 11529, 540, 6151, 1984, 10178, 538, 9160, 2030, 1107, 533, 8140, 8302, 267, 7723, 10371, 717, 6081, 3684, 538, 24533, 6151, 2326, 4393, 2030, 267, 2324, 540, 6151, 1984, 10178, 538, 9160, 2030, 269, 1547, 11529, 6240, 540, 3440, 1984, 1031, 538, 9160, 2504, 269, 8437, 13378, 3767, 16753, 811, 454, 576, 618, 1984, 2324, 6240, 538, 15242, 454, 576, 618, 1984, 2324, 6240, 538, 15242, 269, 24533, 25416, 634, 6240, 540, 717, 3433, 2598, 8408, 8860, 568, 5176, 24080, 9862, 538, 519, 9160, 8860, 2872, 717, 3433, 2598, 8408, 11831, 24759, 616, 519, 4341, 2864, 982, 519, 9868, 14339, 24759, 585, 6151, 543, 9096, 8860, 2253, 547, 4283, 519, 4605, 700, 24147, 543, 3677, 8006, 14200, 1831, 1455, 700, 9975, 3267, 16753, 811, 454, 1440, 4532, 2118, 2324, 540, 6151, 1984, 2274, 6022, 9820, 5918, 22900, 454, 1440, 4532, 2118, 2324, 540, 3440, 6151, 1984, 10424, 322, 29266, 16766, 269, 6151, 1984, 538, 9160, 2030, 2324, 6240, 269, 901, 3440, 1984, 568, 5631, 1031, 585, 8860, 6151, 2326, 543, 3803, 2472, 538, 9160, 2030, 898, 267, 30761, 7085, 11554, 20232, 4741, 5397, 543, 2427, 5397, 616, 1079, 1455, 5397, 12331, 585, 513, 3440, 1984, 4741, 5397, 8860, 1984, 1797, 519, 5179, 14788, 1547, 16753, 811, 454, 22998, 6240, 543, 3498, 2039, 540, 11425, 1984, 318, 576, 618, 4429, 4913, 267, 950, 519, 11425, 1984, 568, 1031, 585, 5386, 8860, 267, 519, 8860, 30704, 640, 568, 1447, 982, 267, 519, 2504, 4390, 540, 519, 11425, 1984, 568, 711, 607, 1804, 607, 602, 540, 519, 3440, 1984, 540, 519, 1482, 20487, 269, 5221, 540, 922, 1507, 7829, 4390, 543, 7522, 3498, 2039, 267, 519, 11425, 1984, 568, 2484, 1447, 538, 3747, 982, 519, 3440, 1984, 269, 16753, 811 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 630, 4429, 288, 2890, 6921, 658, 1591, 5713, 607, 513, 4395, 11060, 2366, 787, 267, 5464, 922, 10450, 585, 19035, 2238, 543, 2326, 676, 2625, 532, 3267, 2349, 12177, 13805, 538, 12058, 4761, 2281, 27669, 1325, 345, 8583, 619, 538, 8983, 267, 1353, 9060, 269, 3267, 5843, 6921, 807, 267, 799, 13822, 827, 476, 1015, 268, 1428, 2600, 540, 782, 519, 2281, 538, 519, 2634, 267, 2965, 18613, 4761, 2281, 14320, 811, 3267, 1809, 922, 2653, 547, 7556, 1804, 2338, 540, 741, 2673, 30980, 267, 4761, 2281, 1572, 31457, 269, 1452, 2281, 32694, 4429, 1862, 4761, 2281, 949, 7048, 593, 513, 13805, 547, 5365, 513, 4831, 3430, 871, 269, 634, 4681, 949, 1291, 547, 1732, 5061, 547, 4339, 5563, 269, 3267, 4270, 2492, 10418, 585, 8426, 5336, 520, 3700, 3194, 267, 6481, 3194, 7027, 267, 3864, 5742, 267, 543, 2817, 4659, 540, 2657, 269, 3267, 21210, 2281, 7048, 593, 13805, 547, 5365, 4831, 3430, 871, 593, 26220, 17494, 269, 670, 8991, 4047, 312, 267, 14529, 269, 910, 21210, 2281, 267, 1572, 31457, 267, 949, 3267, 24295, 29620, 4761, 3210, 540, 30746, 543, 2371, 269, 2608, 6630, 301, 14970, 289, 5456, 1397, 3967, 269, 476, 1724, 5544, 7547, 2702, 9845, 267, 4764, 4104, 4429, 28053, 2627, 4082, 540, 519, 595, 274, 321, 14727, 275, 321, 13805, 630, 10135, 272, 264, 14014, 4457, 8423, 3122, 9065, 776, 2281, 689, 561, 1736, 676, 1480, 9148, 269, 808, 3267, 7388, 618, 13805, 476, 272, 20127, 585, 6604, 540, 4761, 24975, 2699, 1591, 9552, 281, 1761, 946, 538, 13816, 4288, 3797, 269, 3267, 7388, 618, 13805, 476, 272, 20127, 585, 6604, 540, 4761, 24975, 2699, 1591, 9552, 281, 1761, 946, 538, 13816, 4288, 3797, 269, 3267, 7388, 618, 13805, 476, 272, 20127, 585, 6604, 540, 4761, 24975, 2699, 1591, 9552, 281, 1761, 946, 538, 13816, 4288, 3797, 4429, 301, 527, 878, 12547, 2504, 538, 17669, 2281, 676, 4761, 23838, 281, 1909, 540, 10252, 1162, 543, 6046, 3815, 268, 24681, 289, 269, 26640, 2271, 269, 476, 7830, 281, 1708, 273, 269, 3267, 14298, 5425, 666, 849, 12314, 609, 1114, 13364, 267, 971, 607, 2208, 10399, 267, 570, 1591, 543, 645, 1591, 3397, 13364, 630, 277, 267, 476, 278, 267, 476, 279, 267, 476, 280, 267, 476, 1015, 267, 476, 1556, 267, 3267, 5637, 10252, 1162, 616, 26582, 538, 15202, 3842, 570, 1591, 543, 645, 1591, 3397, 13364, 543, 16384, 294, 13364, 630, 293, 322, 24556, 305, 264, 630, 1704, 267, 476, 1240, 1070, 3976, 11021, 3267, 4675, 816, 832, 540, 7261, 339, 758, 710, 6178, 2718, 3204, 3634, 674, 322, 1234, 1061, 528, 6178, 2718, 543, 8426, 2920, 10474, 1282, 21210, 11412, 531, 28864, 269, 25844, 523, 717, 6759, 1889, 345, 268, 4429, 1862, 3173, 9060, 602, 519, 4761, 2281, 540, 519, 2634, 1572, 2890, 6921, 807, 1404, 513, 2629, 1909, 538, 2634, 1646, 1282, 3267, 21210, 1591, 18309, 540, 22006, 13364, 949, 1110, 3634, 8965, 2242, 538, 18273, 269, 676, 12590, 4937, 11233, 3267, 21210, 1591, 18309, 540, 22006, 13364, 949, 1110, 3634, 8965, 2242, 538, 18273, 269, 3267, 27375, 281, 21210, 1591, 18309, 540, 22006, 13364, 949, 1110, 3634, 8965, 2242, 538, 18273, 630, 1001, 279, 267, 5181, 476, 1839, 264, 4429, 290, 12682, 25570, 570, 2281, 946, 7344, 3196, 547, 14984, 5573, 3077, 1591, 11318, 269, 8426, 269, 476, 13679, 281, 1911, 268, 8099, 269, 8222, 281, 1015, 269, 6200, 277, 10768, 269, 3250, 269, 1001, 277, 269, 4905, 269, 28512, 269, 3267, 10886, 1436, 540, 6422, 957, 514, 12205, 609, 570, 16052, 13805, 2890, 743, 31255, 538, 3119, 570, 2281, 269, 808, 269, 8426, 2233, 269, 476, 10219, 281, 278, 3374, 268, 278, 5655, 269, 3267, 29325, 928, 514, 12454, 3560, 540, 570, 1591, 13805, 2890, 743, 31255, 21560, 4761, 5348, 8985, 5250, 543, 570, 1591, 11852, 269, 16332, 640, 269, 476, 4097, 3267, 4813, 514, 24378, 957, 3912, 28009, 9095, 338, 4412, 601, 570, 1591, 13805, 2890, 743, 13831, 3350, 693, 519, 4761, 5348, 8985, 269, 7348, 10758, 290, 2839, 28483, 4429, 14303, 32009, 29930, 268, 3725, 1061, 832, 630, 305, 311, 20745, 13580, 538, 14264, 14231, 547, 1852, 11158, 305, 14001, 2960, 4761, 6114, 543, 1591, 6668, 269, 11153, 540, 891, 3267, 901, 9241, 1673, 4593, 2642, 1909, 540, 30636, 1355, 13805, 15202, 538, 4761, 13178, 666, 581, 6594, 538, 1114, 2010, 540, 2860, 3267, 3776, 1459, 1353, 3096, 513, 5160, 10391, 5444, 705, 3175, 4640, 547, 21656, 513, 3209, 1909, 540, 1826, 4083, 6046, 13364, 1496, 3267, 971, 607, 15202, 689, 824, 1591, 2010, 267, 666, 3310, 27441, 11144, 269, 2755, 1896, 1883, 6090, 538, 27441, 1646, 4429, 27845, 633, 570, 1591, 11852, 676, 27765, 26578, 2281, 568, 849, 3226, 3608, 1317, 27765, 26578, 2281, 2769, 5266, 1164, 21828, 3267, 570, 3326, 6441, 833, 1234, 1061, 528, 476, 275, 1772, 22490, 585, 8838, 2711, 4886, 540, 774, 273, 21210, 13786, 525, 281, 10020, 540, 667, 754, 26578, 19204, 269, 10127, 574, 667, 13741, 27895, 267, 3267, 570, 3326, 6441, 833, 1234, 1061, 528, 476, 275, 1772, 22490, 585, 8838, 2711, 4886, 540, 774, 273, 21210, 13786, 525, 281, 10020, 540, 667, 754, 26578, 19204, 3267, 570, 3326, 6441, 833, 1234, 1061, 528, 476, 275, 1772, 22490, 585, 8838, 2711, 4886, 540, 774, 273, 21210, 13786, 525, 281, 10020, 540, 667, 754, 26578, 19204, 4429, 15031, 1181, 2369, 16951, 307, 3326, 6441, 833, 25547, 12901, 756, 3672, 3682, 12888, 291, 754, 26578, 26073, 11077, 3412, 22861, 15644, 6081, 12901, 756, 1328, 290, 1335, 758, 1149, 543, 4256, 1234, 1061, 832, 3849, 28922, 2419, 574, 20143, 18970, 13364, 7049, 525, 290, 12682, 758, 710, 25721, 9953, 2670, 12507, 14231, 306, 16577, 1805, 574, 1637, 307, 32214, 2281, 5715, 340, 576, 4467, 921, 618, 22546, 528, 2281, 303, 4545, 805, 545, 2860, 299, 24514, 13364, 31416, 781, 4761, 2281, 295, 739, 4761, 20332, 11118, 25570, 640, 290, 12682, 25570, 307, 1170, 1132, 299, 2426, 1103, 25691, 11328, 9146, 6717, 305, 276, 28053, 983, 13364, 454, 268, 715, 16197, 545, 3679, 9301, 13364, 630, 10852, 569, 681, 5456, 16927, 543, 570, 3326, 6438, 13364, 264, 616, 519, 1034, 14916, 6594, 4806, 6284, 13364, 585, 594, 16787, 269, 630, 12506, 4536, 514, 3820, 994, 268, 3733, 601, 1355, 595, 15178, 7898, 514, 13364, 630, 12710, 20745, 264, 538, 17916, 12046, 2099, 513, 15988, 13637, 540, 4806, 6284, 13364, 602, 5431, 19346, 3889, 593, 13596, 543, 1582, 268, 656, 580, 839, 269, 630, 338, 325, 321, 278, 4792, 19709, 994, 268, 26287, 1231, 538, 519, 570, 28384, 1920, 616, 4806, 6284, 13364, 4171, 4305, 568, 547, 10332, 519, 4761, 1062, 540, 4914, 28164, 269, 630, 342, 7364, 3820, 994, 268, 32587, 984, 26808, 2013, 328, 10911, 299, 476, 32542, 543, 32587, 984, 26808, 1612, 659, 848, 328, 18981, 300, 594, 268, 14681, 279, 610, 513, 11525, 8438, 12113, 7757, 22447, 630, 303, 30820, 264, 998, 570, 3326, 6441, 833, 1234, 1061, 832, 630, 26950, 20745, 1070, 1991, 13934, 609, 30748, 1235, 610, 21087, 1235, 540, 570, 299, 20745, 269, 630, 15299, 26020, 3820, 994, 268, 26495, 6501, 570, 3326, 6438, 13364, 630, 26950, 20745, 264, 476, 275, 13822, 513, 3982, 543, 18105, 4094, 13443, 3504, 1362, 540, 519, 14889, 268, 272, 20081, 28384, 2706, 2102, 324, 1920, 269, 630, 329, 9404, 684, 565, 3820, 994, 268, 476, 1220, 277, 269, 570, 3326, 6438, 13364, 607, 7636, 17176, 269, 630, 1026, 2135, 343, 2593, 994, 268, 11153, 2090, 723, 4080, 602, 17167, 6438, 13364, 630, 26950, 20745, 264, 616, 3238, 538, 645, 1591, 18735, 267, 15285, 267, 543, 16384, 1362, 6467, 21921, 1588, 630, 5425, 305, 1040, 630, 321, 341, 15680, 644, 3820, 994, 268, 589, 1713, 8167, 540, 897, 28030, 2860, 630, 10135, 290, 264, 2550, 616, 11259, 547, 4550, 268, 2207, 17668, 272, 1496, 822, 1014, 22980, 628, 549, 4565, 2880, 26679, 10194, 630, 341, 268, 8538, 1532, 264, 32346, 10942, 4630, 860, 267, 13805, 585, 661, 24427, 316, 1395, 16438, 4689, 12489, 630, 300, 11274, 1040, 630, 335, 19063, 3820, 994, 268, 3933, 16438, 4689, 12489, 1996, 519, 28603, 531, 2208, 3815, 13805, 267, 18317, 17668, 272, 1496, 822, 1014, 22980, 628, 549, 4565, 2880, 26679, 10194, 630, 341, 268, 8538, 1532, 264, 32346, 10942, 4630, 860, 267, 13805, 585, 661, 24427, 3910, 1519, 538, 1880, 524, 564, 5060, 574, 629, 267, 616, 1631, 4122, 1031, 538, 897, 28030, 2860, 630, 10135, 290, 264, 2126, 630, 476, 272, 2340, 485, 497, 910, 476, 274, 15426, 630, 335, 19063, 3820, 994, 268, 9061, 3146, 13808, 729, 4767, 538, 29588, 8127, 547, 4550, 25993, 1164, 268, 3530, 6541, 16384, 292, 13805, 18325, 630, 293, 322, 389, 505, 6020, 24556, 264, 543, 16384, 292, 5230, 5832, 30928, 12489, 269, 630, 333, 8811, 10993, 994, 268, 1234, 1061, 832, 593, 570, 16052, 338, 5431, 26898, 267, 610, 4773, 540, 824, 2281, 602, 9594, 606, 4761, 3210, 267, 3226, 12489, 269, 630, 7749, 9469, 25924, 3820, 994, 268, 769, 4761, 2281, 267, 1312, 570, 1591, 13364, 543, 12489, 616, 3710, 538, 606, 14969, 1184, 540, 5969, 543, 2250, 532, 4773, 540, 5027, 689, 5094, 966, 267, 667, 267, 543, 808, 4525, 267, 799, 616, 1287, 521, 2364, 539, 5196, 513, 595, 3148, 269, 630, 531, 345, 1721, 636, 3820, 994, 268, 589, 2582, 3940, 6512, 6375, 648, 5562, 609, 12489, 1996, 1312, 519, 595, 10135, 276, 543, 519, 23776, 13364, 729, 4857, 1310, 32661, 2803, 529, 593, 562, 1180, 523, 520, 1005, 4874, 659, 787, 4594, 728, 575, 1564, 269, 630, 684, 760, 8527, 3820, 994, 268, 1677, 1449, 713, 267, 3173, 538, 1010, 2978, 2919, 12489, 547, 3625, 519, 1250, 28009, 476, 1240, 288, 13805, 269, 630, 1186, 340, 12975, 994, 268, 1879, 649, 3945, 3729, 513, 3461, 267, 519, 3461, 781, 4761, 1062, 10953, 12489, 585, 799, 789, 723, 1044, 18764, 267, 519, 12489, 786, 9243, 1047, 602, 19800, 543, 519, 3461, 4465, 1405, 1831, 7783, 2437, 646, 1767, 269, 630, 569, 332, 874, 558, 23147, 531, 819, 3820, 994, 268, 674, 553, 666, 1098, 706, 576, 606, 30091, 11897, 1424, 5365, 538, 2281, 950, 25623, 676, 674, 553, 14270, 663, 630, 293, 553, 299, 264, 610, 676, 30748, 2065, 4550, 6363, 553, 1395, 16438, 4689, 12489, 269, 630, 6798, 15701, 25218, 2593, 994, 268, 634, 2126, 19754, 1055, 3339, 17193, 26148, 645, 2281, 1932, 267, 855, 2550, 666, 581, 2016, 2834, 1102, 16272, 540, 12489, 547, 22771, 585, 713, 267, 623, 7163, 3081, 269, 630, 27023, 881, 26410, 2593, 994, 268, 634, 2596, 3919, 540, 519, 4761, 1062, 267, 1519, 2497, 267, 1599, 543, 11976, 540, 12489, 267, 570, 16052, 13364, 267, 17916, 4761, 13364, 267, 543, 519, 9148, 1062, 269, 630, 338, 14673, 28022, 994, 268, 5015, 267, 538, 1931, 547, 18082, 519, 6881, 540, 631, 269, 16415, 324, 26898, 676, 27765, 26578, 2281, 538, 20117, 267, 649, 3773, 1265, 811, 4550, 4211, 291, 274, 12489, 543, 4550, 4211, 291, 2764, 12489, 269, 630, 514, 10903, 4592, 920, 2287, 24108, 2593, 994, 268, 634, 1459, 1353, 729, 17298, 547, 3313, 2436, 891, 1079, 1785, 12147, 543, 1599, 958, 3982, 717, 3491, 12888, 2275, 537, 9482, 13364, 616, 538, 2673, 16133, 543, 1106, 606, 23731, 9593, 545, 1950, 538, 519, 1591, 9245, 865, 602, 519, 11852, 540, 835, 12153, 519, 2534, 540, 519, 824, 269, 630, 684, 760, 8527, 3820, 994, 268, 1358, 849, 960, 607, 20203, 19216, 267, 21400, 909, 4666, 2281, 543, 7636, 11935, 1792, 1233, 1851, 2713, 2281, 910, 1519, 13421, 540, 513, 3940, 1572, 589, 1532, 9508, 267, 29200, 585, 10015, 908, 883, 10733, 3240, 12074, 1572, 12216, 781, 29693, 13196, 267, 519, 2068, 781, 10689, 5658, 26715, 4183, 269, 630, 8234, 4754, 531, 2593, 994, 268, 19881, 960, 538, 27055, 817, 517, 781, 2978, 543, 824, 22475, 814, 3254, 602, 713, 11140, 267, 513, 13805, 3940, 1572, 21768, 273, 267, 814, 513, 2178, 1761, 547, 2014, 6553, 950, 15181, 676, 11006, 547, 513, 6219, 1572, 14382, 698, 1633, 514, 661, 273, 267, 610, 623, 12283, 273, 269, 630, 8234, 4754, 531, 2593, 994, 268, 634, 3173, 4362, 602, 14889, 268, 275, 2337, 519, 9018, 4494, 540, 5761, 2281, 547, 5818, 2504, 540, 519, 8878, 3940, 9501, 5025, 269, 901, 3940, 25907, 31457, 543, 10597, 741, 2702, 547, 9062, 543, 19334, 1996, 519, 21313, 269, 630, 1186, 340, 12975, 994, 268, 932, 337, 821, 657, 4362, 602, 519, 9501, 5025, 3940, 25907, 693, 513, 13805, 1572, 1250, 28009, 476 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 269, 2755, 1866, 616, 14126, 2094, 621, 786, 2046, 519, 4182, 20991, 883, 7963, 269, 901, 2306, 721, 2307, 519, 2243, 540, 267, 834, 2691, 568, 621, 547, 6157, 2307, 585, 2724, 1701, 634, 7503, 540, 20161, 1871, 883, 1942, 3902, 1341, 7443, 630, 330, 266, 335, 264, 2882, 519, 7872, 540, 11539, 689, 519, 15895, 1871, 269, 5221, 12434, 585, 811, 982, 519, 3666, 540, 1942, 3902, 267, 543, 519, 1942, 3902, 568, 1447, 982, 519, 5370, 1871, 267, 621, 2488, 519, 1367, 3854, 1235, 538, 1942, 3902, 1657, 543, 2630, 519, 1871, 540, 519, 7872, 540, 9513, 5370, 267, 865, 602, 547, 3035, 519, 7443, 609, 519, 5370, 2965, 3568, 21045, 1871, 1281, 711, 3858, 538, 1297, 269, 634, 24041, 2306, 946, 540, 519, 3017, 1063, 519, 1871, 540, 519, 20161, 543, 519, 1942, 3902, 267, 607, 513, 6117, 3196, 538, 519, 2344, 6735, 269, 1306, 519, 6735, 1063, 1114, 2504, 8257, 543, 519, 1863, 2095, 540, 3854, 267, 1118, 1114, 2027, 14345, 3666, 883, 3328, 7443, 19114, 610, 3328, 7443, 19114, 267, 865, 602, 519, 12434, 2417, 883, 3328, 7443, 267, 8275, 519, 2179, 540, 3854, 547, 3035, 519, 1482, 2179, 540, 7443, 269, 769, 519, 8912, 2013, 267, 519, 3328, 7443, 543, 519, 21045, 1871, 616, 22522, 538, 7274, 269, 634, 3328, 7443, 568, 8167, 2299, 14354, 547, 519, 2698, 2179, 540, 3854, 538, 4434, 543, 711, 519, 2179, 540, 2661, 4074, 602, 568, 18170, 676, 1367, 3854, 269, 901, 543, 1118, 606, 6662, 5168, 267, 9247, 12434, 568, 519, 1587, 540, 3854, 267, 621, 568, 4986, 547, 798, 609, 4074, 267, 538, 713, 1259, 267, 3854, 593, 519, 2078, 1063, 519, 13230, 4074, 547, 1118, 2724, 543, 547, 581, 1118, 267, 786, 581, 2417, 269, 1280, 519, 2250, 2947, 1296, 267, 594, 4312, 1044, 1210, 519, 7178, 5032, 3028, 1169, 3018, 267, 1433, 532, 17914, 476, 1321, 4374, 538, 4434, 547, 1205, 519, 10464, 652, 3341, 599, 618, 267, 4867, 693, 476, 1704, 6550, 269, 9122, 593, 519, 1657, 1079, 5686, 540, 6476, 543, 2079, 540, 519, 1523, 540, 15271, 267, 8761, 519, 14413, 638, 2329, 540, 8051, 15271, 267, 1775, 4318, 1421, 519, 8051, 4747, 1281, 711, 1491, 883, 2272, 10637, 267, 519, 2504, 12374, 267, 1434, 15884, 547, 2087, 519, 1764, 540, 2242, 543, 741, 1871, 267, 543, 666, 581, 1336, 593, 1152, 519, 13287, 540, 10727, 267, 543, 666, 581, 6027, 267, 799, 1860, 519, 13055, 781, 7443, 2702, 543, 6024, 5106, 2702, 269, 19098, 267, 2094, 519, 476, 4198, 271, 521, 3459, 547, 2628, 3007, 547, 10110, 519, 4747, 1523, 540, 930, 10257, 17830, 540, 9297, 267, 519, 1523, 540, 2413, 8051, 3069, 540, 4747, 538, 519, 4747, 1523, 540, 9297, 269, 0, 5804, 4544, 16385, 547, 19246, 267, 1082, 540, 513, 1158, 779, 1082, 5318, 1362, 616, 29270, 14486, 563, 288, 1007, 8495, 540, 3165, 15455, 5267, 602, 950, 5318, 30900, 2490, 17255, 267, 7269, 1281, 711, 5368, 8063, 873, 585, 1082, 1296, 563, 12867, 267, 1310, 6313, 3165, 602, 5030, 827, 476, 12573, 2929, 1296, 3516, 267, 723, 17251, 602, 513, 2527, 3045, 8811, 7976, 4583, 607, 513, 670, 836, 28086, 2680, 7081, 3361, 5318, 1362, 547, 5884, 1055, 1247, 4130, 1362, 15068, 563, 2108, 305, 1430, 982, 8876, 713, 705, 15929, 5117, 540, 5318, 1919, 267, 649, 1522, 723, 835, 11999, 882, 1112, 267, 1498, 8335, 3388, 568, 513, 3845, 540, 513, 521, 731, 710, 2223, 14733, 19846, 333, 590, 718, 534, 267, 606, 2825, 10196, 1282, 513, 2160, 540, 12425, 267, 538, 513, 3377, 5305, 563, 15463, 16555, 18973, 602, 513, 4130, 3165, 1185, 513, 13737, 5413, 936, 741, 538, 1260, 1706, 762, 13413, 281, 789, 9062, 1454, 267, 1082, 5488, 982, 741, 554, 592, 330, 30980, 563, 10527, 9096, 6364, 568, 606, 4262, 538, 602, 1082, 16142, 616, 5786, 982, 513, 4336, 1496, 22764, 3952, 316, 543, 1082, 24991, 543, 15067, 1905, 16104, 616, 5786, 982, 476, 1015, 17744, 2223, 610, 4130, 982, 513, 18812, 26258, 267, 14733, 3220, 269, 590, 718, 523, 269, 968, 21953, 891, 616, 513, 11937, 540, 782, 602, 2531, 7149, 689, 19952, 593, 267, 1519, 3425, 3034, 303, 1446, 2632, 5505, 723, 12675, 23503, 513, 2242, 538, 513, 26430, 7306, 540, 2831, 936, 942, 563, 3080, 3069, 267, 4583, 607, 595, 2100, 779, 4341, 267, 3081, 513, 1362, 11148, 547, 2333, 936, 942, 547, 1226, 643, 11229, 32456, 543, 547, 2490, 4824, 21962, 563, 5194, 25127, 3081, 602, 782, 1919, 1373, 3160, 267, 2831, 2490, 538, 1260, 1706, 762, 538, 513, 7589, 540, 2810, 5135, 267, 610, 538, 21617, 16374, 563, 5194, 2856, 267, 4583, 607, 513, 700, 650, 760, 583, 6356, 267, 25907, 602, 1310, 2527, 970, 18728, 267, 972, 786, 21739, 581, 513, 21285, 7678, 4724, 2370, 26430, 2450, 269, 898, 779, 3957, 1310, 513, 2192, 639, 800, 6532, 538, 513, 1433, 968, 294, 1638, 1853, 779, 3004, 12069, 892, 602, 779, 20948, 676, 2370, 1004, 563, 6624, 3744, 3972, 602, 649, 616, 593, 513, 14345, 540, 1107, 952, 711, 538, 513, 22984, 540, 1107, 513, 15795, 2527, 14486, 269, 901, 4832, 267, 3744, 30461, 513, 3377, 10834, 602, 3425, 616, 2688, 3320, 547, 18594, 675, 585, 513, 2527, 3045, 8811, 7976, 602, 568, 2907, 25093, 563, 3719, 891, 1482, 3744, 25077, 602, 7682, 633, 5279, 3646, 1522, 20866, 18389, 1055, 513, 10121, 2527, 14486, 269, 670, 2794, 3724, 16385, 267, 585, 1383, 267, 941, 5063, 5227, 585, 14962, 531, 689, 513, 3238, 1362, 1592, 563, 22154, 786, 991, 4028, 267, 16094, 2178, 3646, 547, 8190, 2907, 12219, 1362, 543, 547, 1028, 340, 720, 12503, 593, 741, 5095, 1107, 3226, 5420, 2530, 267, 21467, 343, 680, 334, 2787, 585, 24271, 656, 850, 2744, 267, 543, 5789, 22941, 1689, 2223, 5206, 513, 8495, 2319, 267, 1519, 3744, 689, 18628, 267, 23134, 267, 543, 20588, 267, 538, 741, 1867, 563, 2252, 513, 1829, 9146, 3045, 8811, 7976, 1281, 11166, 513, 4541, 779, 4102, 2831, 267, 513, 1007, 8495, 5267, 789, 786, 711, 581, 1098, 12723, 1022, 942, 4166, 563, 17606, 3085, 1406, 2339, 1018, 568, 1163, 2454, 513, 5318, 3165, 610, 1018, 568, 5137, 8134, 18633, 2223, 590, 718, 534, 1767, 269, 968, 4322, 18063, 616, 1689, 762, 2635, 13283, 865, 602, 4130, 267, 5488, 3146, 335, 18166, 3165, 616, 930, 2173, 648, 4397, 547, 1832, 2469, 267, 543, 621, 1223, 1491, 513, 796, 25406, 665, 958, 12675, 942, 547, 1205, 1346, 8273, 3165, 3297, 538, 1022, 1804, 1259, 1848, 0, 7093, 28124, 707, 2915, 689, 24146, 568, 3857, 958, 1271, 585, 519, 1072, 543, 1134, 5630, 540, 596, 543, 707, 2915, 269, 17607, 540, 707, 2915, 779, 5615, 1472, 1004, 543, 3871, 25887, 596, 547, 1022, 10593, 538, 2623, 602, 616, 16613, 585, 707, 2915, 865, 602, 596, 666, 9108, 26544, 538, 3871, 1141, 513, 11116, 1223, 2049, 269, 18227, 707, 2915, 6126, 543, 2635, 538, 1022, 4259, 3091, 596, 519, 4708, 540, 2247, 596, 543, 707, 7782, 991, 547, 2972, 519, 2238, 596, 2648, 269, 3371, 616, 1614, 1390, 2081, 547, 3247, 707, 2915, 689, 24146, 563, 12892, 1125, 2659, 13928, 454, 5415, 982, 476, 275, 269, 276, 2929, 1004, 538, 519, 772, 2529, 269, 1142, 1032, 616, 3787, 1084, 676, 5243, 267, 799, 568, 1946, 1514, 1944, 707, 2915, 568, 865, 1271, 269, 4317, 1436, 2636, 707, 2915, 547, 3082, 547, 513, 3099, 540, 1950, 3871, 543, 2337, 596, 7747, 707, 2915, 779, 6547, 865, 596, 666, 5265, 4431, 952, 707, 2915, 779, 2623, 3587, 10728, 269, 1401, 19397, 707, 2915, 547, 1453, 267, 4079, 267, 5243, 267, 824, 2831, 267, 543, 10978, 21089, 2488, 5140, 2866, 3255, 547, 1832, 707, 2915, 9350, 267, 2922, 267, 543, 6126, 563, 16605, 17261, 5209, 5455, 547, 11261, 454, 2252, 25750, 616, 22573, 267, 513, 2915, 1223, 1831, 10728, 610, 4163, 5906, 3676, 4929, 621, 547, 11116, 269, 15887, 625, 568, 519, 1034, 1455, 3644, 26438, 689, 5243, 945, 10093, 1406, 1044, 18764, 543, 666, 2014, 5243, 547, 1831, 1360, 10728, 543, 11116, 1004, 269, 17261, 3215, 707, 2915, 14014, 707, 2915, 543, 1004, 689, 971, 3676, 543, 5563, 269, 5384, 569, 25750, 585, 8290, 899, 29811, 602, 1118, 5243, 10728, 1590, 581, 6854, 909, 547, 4266, 547, 948, 1118, 2386, 602, 707, 2915, 3085, 1406, 1205, 10728, 543, 11116, 1004, 563, 12507, 3218, 20548, 4809, 10263, 454, 288, 16346, 568, 519, 1883, 547, 7303, 2915, 17486, 269, 1403, 707, 2915, 10525, 1022, 1826, 540, 10728, 2623, 267, 971, 607, 1332, 1782, 610, 31325, 693, 21046, 610, 1004, 8429, 998, 707, 1753, 267, 798, 711, 7413, 602, 2623, 269, 4658, 666, 3006, 27298, 519, 3978, 1145, 540, 1332, 1782, 607, 20027, 3274, 1317, 513, 2915, 814, 2760, 3787, 1084, 4896, 267, 855, 621, 779, 1869, 606, 13525, 602, 513, 2915, 949, 1831, 10728, 269, 22320, 1782, 602, 5555, 15583, 919, 883, 24146, 568, 513, 14427, 543, 25031, 8009, 602, 666, 581, 15286, 563, 288, 14679, 547, 519, 6288, 610, 606, 6397, 3643, 689, 513, 3659, 568, 513, 10950, 1995, 950, 707, 2915, 814, 1044, 5265, 18764, 543, 4191, 540, 1022, 10728, 2623, 723, 20374, 269, 29179, 707, 2915, 519, 1655, 4960, 547, 4159, 922, 8748, 2623, 1128, 1571, 6015, 543, 9547, 538, 1312, 267, 596, 543, 707, 2915, 269, 18833, 602, 596, 3580, 581, 2111, 547, 9108, 1491, 707, 22578, 13959, 609, 596, 10876, 596, 979, 14998, 596, 547, 6001, 543, 2972, 519, 942, 596, 6108, 609, 707, 24566, 3659, 563, 2252, 596, 991, 3063, 948, 538, 2866, 707, 2915, 547, 723, 1434, 2623, 267, 18934, 707, 7782, 538, 835, 540, 938, 2915, 2866, 3292, 256, 0, 14630, 1299, 5384, 454, 306, 12944, 267, 5988, 476, 2420, 267, 476, 1708, 271, 476, 1556, 281, 876, 993, 547, 476, 274, 281, 876, 10681, 454, 11754, 547, 25038, 454, 28893, 1977, 3778, 543, 9177, 7467, 454, 272, 560, 6989, 267, 476, 273, 526, 6989, 267, 476, 275, 628, 6989, 267, 19270, 6847, 454, 27736, 1299, 19198, 454, 1607, 568, 513, 17676, 1982, 547, 7390, 267, 855, 14261, 568, 2838, 563, 10666, 713, 7926, 454, 2414, 948, 8661, 2817, 7177, 10432, 267, 715, 7246, 288, 18449, 786, 5031, 519, 1279, 22871, 540, 3979, 1977, 8030, 269, 3245, 519, 9998, 1004, 540, 3979, 16350, 1210, 741, 1702, 540, 7573, 14713, 547, 519, 21777, 5108, 540, 2029, 605, 21745, 625, 543, 31132, 267, 519, 7418, 540, 3979, 4892, 547, 519, 4182, 779, 13884, 267, 1686, 543, 2528, 616, 1713, 269, 901, 1982, 786, 6338, 938, 8436, 547, 519, 1158, 540, 4702, 543, 2671, 875, 3979, 4892, 723, 8032, 543, 6766, 519, 1158, 269, 0, 277, 269, 13667, 693, 21548, 267, 711, 1208, 559, 2747, 269, 9861, 1336, 538, 1480, 1106, 267, 646, 1208, 16940, 5128, 269, 630, 24589, 2089, 2103, 476, 273, 281, 279, 264, 6056, 827, 519, 21548, 540, 2441, 269, 1879, 2696, 729, 4758, 519, 1876, 267, 3571, 5639, 555, 1495, 1229, 791, 3205, 958, 689, 6778, 31291, 328, 269, 1358, 4862, 3571, 5639, 267, 855, 789, 1705, 711, 1294, 13924, 269, 1809, 950, 2696, 568, 1818, 2483, 27716, 1767, 519, 10806, 540, 2696, 12851, 547, 1346, 945, 616, 899, 1453, 267, 855, 6754, 7150, 602, 6738, 13522, 1590, 2322, 2476, 1126, 880, 1919, 269, 1924, 538, 1018, 2081, 616, 21071, 547, 581, 899, 1453, 286, 769, 1018, 2081, 616, 649, 711, 888, 2691, 594, 729, 513, 1126, 267, 594, 12038, 543, 2219, 543, 2601, 539, 607, 513, 1126, 269, 1809, 950, 594, 8057, 909, 267, 594, 2322, 2476, 1126, 880, 1919, 269, 630, 272, 29833, 2103, 476, 1724, 281, 1556, 267, 715, 299, 307, 994, 2691, 6754, 2306, 713, 3948, 267, 646, 568, 1210, 519, 5259, 2262, 683, 335, 3930, 267, 799, 729, 1034, 1419, 1031, 585, 519, 21836, 267, 1034, 1219, 523, 1088, 612, 1453, 269, 6754, 3096, 621, 2429, 1010, 9210, 30178, 547, 5635, 1004, 945, 798, 711, 1332, 538, 5289, 1620, 610, 20559, 618, 547, 12256, 563, 301, 788, 3930, 568, 1419, 1031, 538, 23075, 547, 20301, 2576, 4171, 2702, 547, 2601, 3788, 2241, 543, 5667, 2684, 10184, 267, 899, 606, 10867, 269, 1280, 1383, 267, 4906, 3096, 713, 2262, 538, 15623, 476, 1556, 547, 1397, 875, 2696, 814, 6074, 547, 3142, 5128, 18710, 543, 1476, 895, 1346, 945, 1589, 2933, 8797, 676, 2348, 968, 327, 5200, 891, 1919, 689, 519, 8797, 543, 1620, 543, 7000, 873, 547, 1496, 333, 788, 3930, 316, 9232, 630, 341, 269, 476 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 763, 7913, 14272, 2745, 281, 4197, 519, 8177, 540, 2659, 6732, 3465, 775, 454, 9596, 827, 519, 1764, 540, 707, 2228, 4527, 543, 875, 547, 4383, 543, 2149, 707, 3059, 11640, 538, 713, 3102, 3391, 269, 13028, 1946, 707, 2228, 3527, 2339, 543, 875, 789, 666, 1860, 707, 2123, 543, 3318, 1272, 269, 6875, 1852, 540, 707, 3059, 3961, 543, 1711, 513, 2318, 2228, 4527, 2221, 563, 333, 2221, 781, 3059, 2085, 267, 938, 2729, 723, 1831, 5051, 23091, 609, 519, 2228, 1158, 269, 3245, 1514, 2923, 12632, 547, 2228, 10918, 6208, 267, 938, 2238, 4734, 3297, 513, 13009, 540, 1239, 1634, 607, 938, 834, 21745, 1388, 11640, 1701, 1809, 1018, 4010, 568, 513, 3059, 11640, 267, 543, 1946, 1058, 649, 581, 7255, 827, 621, 888, 1432, 568, 513, 7913, 14272, 2745, 888, 8245, 2952, 2322, 267, 513, 3059, 11640, 568, 519, 4015, 540, 1344, 827, 606, 1367, 602, 568, 6383, 607, 513, 1267, 540, 741, 2228, 2238, 269, 901, 2882, 3388, 689, 1514, 2923, 9708, 267, 8292, 267, 543, 15055, 547, 2228, 16306, 267, 3406, 1686, 267, 543, 3896, 11564, 269, 26243, 267, 621, 781, 519, 5691, 13009, 602, 649, 4734, 3297, 8164, 649, 4497, 609, 519, 3059, 1158, 563, 763, 32719, 775, 540, 519, 7913, 14272, 2745, 454, 3080, 540, 519, 1034, 1271, 1919, 547, 1174, 827, 938, 3059, 11640, 568, 602, 621, 568, 9247, 8628, 269, 4495, 1344, 568, 3838, 2228, 267, 621, 666, 581, 6740, 267, 23652, 267, 543, 15600, 676, 1866, 22543, 17802, 269, 4634, 952, 596, 18419, 513, 2022, 610, 632, 716, 10675, 606, 2272, 267, 972, 568, 1100, 10018, 602, 519, 1344, 786, 581, 4625, 2144, 1078, 689, 519, 4950, 563, 1607, 7165, 775, 568, 1713, 1317, 621, 1797, 602, 938, 2228, 3527, 666, 723, 1279, 18835, 4539, 267, 1312, 13948, 543, 24015, 269, 15783, 12820, 267, 1870, 4891, 267, 543, 1256, 2828, 543, 1920, 2818, 949, 1106, 21520, 543, 8369, 1759, 593, 519, 1543, 649, 723, 3838, 610, 519, 12205, 649, 723, 1500, 2228, 563, 763, 8177, 593, 9608, 543, 12333, 5020, 454, 1103, 938, 2123, 2729, 267, 938, 3059, 11640, 666, 1860, 938, 3347, 543, 10639, 269, 769, 14363, 610, 18086, 9708, 267, 585, 1383, 267, 666, 3441, 17052, 543, 1711, 513, 2942, 8226, 540, 938, 1915, 269, 6684, 267, 18731, 6337, 610, 8292, 666, 723, 9434, 2360, 593, 938, 2123, 543, 3318, 3347, 563, 30267, 11970, 958, 267, 513, 2178, 3059, 11640, 666, 3986, 938, 4876, 16548, 269, 14146, 619, 1419, 2932, 2228, 19707, 547, 1451, 811, 827, 10457, 1354, 1818, 17849, 3664, 269, 589, 1134, 268, 2017, 730, 2228, 4527, 602, 20502, 938, 1983, 267, 10781, 267, 543, 3318, 4690, 666, 1305, 721, 6306, 689, 824, 23078, 269, 2201, 519, 824, 1688, 267, 513, 2942, 610, 796, 2889, 32216, 3059, 11640, 666, 2800, 938, 8458, 540, 17516, 513, 2816, 610, 14027, 538, 938, 11678, 563, 29771, 547, 4024, 26213, 269, 1889, 7913, 22684, 6796, 454, 18794, 938, 2146, 547, 8190, 543, 2671, 707, 8823, 609, 1346, 945, 2339, 1034, 269, 8437, 1934, 547, 24049, 547, 938, 3028, 563, 28406, 532, 543, 19737, 2659, 7913, 14272, 2745, 454, 11693, 519, 1761, 1764, 540, 938, 3059, 11640, 267, 621, 568, 2629, 547, 581, 14942, 538, 5883, 543, 7863, 621, 269, 3371, 616, 930, 3268, 596, 666, 1491, 547, 2327, 513, 2318, 2228, 4527, 912, 268, 21041, 5468, 281, 25800, 3054, 609, 519, 7834, 5468, 593, 1514, 2923, 5867, 543, 4188, 873, 547, 1852, 945, 666, 1294, 707, 9708, 543, 2123, 1344, 563, 268, 6056, 1354, 596, 2671, 281, 6969, 20171, 4376, 2228, 267, 2015, 519, 1761, 4539, 269, 4024, 621, 2992, 9797, 593, 596, 286, 16393, 621, 581, 31495, 2181, 1540, 286, 1403, 538, 8969, 267, 621, 781, 1655, 547, 20093, 593, 519, 2427, 540, 13657, 563, 268, 17115, 2689, 543, 2973, 909, 281, 17115, 2689, 707, 1514, 2923, 12632, 267, 9427, 1022, 9708, 610, 6337, 602, 1100, 3476, 5447, 609, 707, 2123, 610, 3318, 3239, 563, 268, 18554, 707, 2228, 4527, 281, 5590, 909, 5616, 1325, 1068, 338, 610, 946, 2228, 10639, 2359, 2645, 547, 1832, 3950, 540, 1018, 568, 1373, 1767, 827, 596, 2228, 269, 901, 2636, 596, 547, 2232, 1022, 2942, 1543, 610, 11234, 1344, 16425, 563, 268, 12706, 513, 2318, 2228, 4527, 281, 2920, 1947, 3565, 547, 2228, 5717, 543, 2950, 1644, 547, 707, 4690, 610, 2872, 269, 9523, 3407, 1543, 267, 4497, 609, 1866, 267, 543, 13686, 707, 6791, 547, 1711, 513, 2318, 3059, 11640, 563, 1103, 606, 5051, 4448, 1158, 267, 1620, 519, 1764, 540, 707, 2228, 4527, 568, 1898, 269, 2659, 3059, 11640, 666, 3310, 707, 2123, 3347, 267, 4876, 3255, 267, 543, 2949, 10639, 269, 1635, 2921, 14942, 3268, 547, 4383, 543, 2149, 707, 3059, 11640, 267, 596, 666, 2327, 602, 621, 20383, 609, 707, 2418, 543, 3853, 267, 3056, 547, 513, 811, 2318, 543, 26374, 2228, 4527, 563, 4263, 4024, 26213, 269, 1889, 267, 649, 1683, 513, 2347, 3059, 10040, 4058, 3028, 602, 2337, 596, 10891, 543, 4383, 707, 3059, 7221, 267, 865, 789, 666, 581, 15600, 543, 11843, 676, 707, 6068, 3283, 1310, 596, 1780, 2476, 610, 1831, 24835, 659, 18469, 269, 3776, 3028, 2882, 2870, 513, 3059, 11891, 267, 8159, 945, 786, 723, 1569, 267, 3246, 5528, 593, 875, 547, 4383, 707, 7221, 267, 543, 18172, 13936, 707, 3059, 10040, 1544, 563, 29771, 547, 938, 3028, 2221, 267, 543, 2744, 4708, 540, 2247, 602, 707, 9371, 786, 581, 6870, 269, 0, 763, 3982, 3601, 540, 4083, 268, 9654, 2326, 1500, 873, 10858, 538, 1904, 29741, 3055, 3457, 269, 2098, 337, 5353, 814, 513, 6512, 7934, 540, 476, 272, 269, 736, 552, 309, 476, 543, 1970, 9804, 10338, 609, 513, 1164, 31659, 4994, 269, 2098, 337, 5353, 666, 581, 17585, 539, 609, 3982, 2609, 547, 1106, 513, 10636, 19390, 4233, 269, 2098, 337, 5353, 814, 1044, 6594, 585, 922, 5907, 267, 29512, 267, 543, 5687, 29090, 3601, 269, 589, 7123, 2098, 337, 5353, 273, 1395, 565, 9707, 13408, 835, 7077, 540, 2098, 337, 8444, 29011, 1117, 1063, 1079, 1793, 11274, 540, 1530, 8444, 1547, 3933, 565, 16558, 10518, 4617, 569, 5103, 519, 2178, 16345, 1063, 2098, 337, 543, 1530, 8444, 1547, 589, 2647, 2039, 540, 6639, 3156, 7048, 593, 519, 2189, 3601, 540, 22279, 268, 24160, 669, 531, 322, 4094, 1938, 1547, 29447, 5353, 6094, 8874, 616, 1373, 6594, 607, 513, 4544, 1769, 2707, 585, 1528, 1503, 29061, 1417, 3457, 269, 29447, 5353, 781, 9804, 3601, 723, 1044, 2182, 547, 2268, 1317, 540, 513, 3668, 540, 5078, 2582, 14848, 1547, 634, 22357, 9804, 11664, 540, 29447, 5353, 568, 1164, 269, 634, 9053, 1570, 585, 9804, 3457, 568, 29447, 5353, 1813, 547, 922, 7415, 8143, 8710, 4187, 1547, 29447, 5353, 1223, 581, 1031, 538, 2584, 29090, 3156, 899, 27178, 543, 22795, 269, 634, 946, 540, 519, 6850, 23755, 18254, 1505, 568, 593, 519, 4473, 269, 901, 4480, 1500, 621, 2009, 547, 11349, 6094, 8874, 540, 29447, 5353, 270, 313, 337, 5353, 2706, 2000, 3430, 823, 269, 1635, 1210, 519, 6850, 23755, 18254, 1505, 267, 519, 7127, 540, 2609, 568, 14931, 269, 634, 24775, 3586, 540, 674, 15674, 568, 15095, 609, 29447, 5353, 270, 313, 337, 5353, 269, 17912, 18572, 610, 3926, 2773, 568, 1561, 321, 762, 547, 581, 22314, 676, 519, 674, 15674, 14041, 1317, 540, 922, 11413, 543, 19428, 563, 297, 21628, 1696, 620, 269, 476, 8246, 7636, 11237, 13423, 25404, 547, 1332, 513, 29447, 5353, 6094, 4670, 593, 513, 13391, 293, 273, 9625, 9340, 543, 6027, 922, 9804, 3601, 269, 634, 29447, 5353, 6094, 4670, 2298, 729, 11117, 676, 2473, 11920, 32250, 267, 799, 8612, 513, 2407, 8700, 693, 3368, 519, 5021, 1871, 540, 476, 20542, 269, 634, 29447, 5353, 6094, 4670, 1185, 9940, 6512, 10616, 267, 6027, 689, 476, 1626, 547, 476, 4968, 918, 269, 634, 26034, 941, 5462, 676, 17501, 519, 29529, 9804, 13093, 517, 8086, 13164, 269, 2098, 29697, 1696, 620, 269, 476, 1353, 1031, 5860, 6198, 3069, 547, 5659, 17585, 539, 2098, 337, 5353, 273, 1395, 565, 9707, 269, 2098, 337, 5353, 273, 1395, 565, 16558, 17585, 539, 609, 9436, 610, 8485, 832, 616, 1875, 332, 8568, 8407, 269, 631, 333, 15065, 334, 1673, 25660, 2098, 337, 5353, 273, 1395, 565, 9707, 568, 513, 6419, 19202, 2348, 513, 4130, 1463, 6512, 7934, 540, 476, 271, 269, 274, 4281, 1496, 277, 268, 1321, 4940, 5450, 28351, 1949, 609, 7920, 6419, 8090, 616, 4646, 1310, 13798, 14563, 609, 631, 22462, 3150, 267, 21193, 4088, 267, 543, 631, 22462, 3150, 543, 1912, 6664, 528, 269, 631, 22462, 3150, 17585, 656, 8444, 1711, 519, 8701, 1242, 10997, 267, 1247, 17286, 22431, 543, 9436, 610, 8485, 528, 8444, 1118, 5634, 7418, 269, 898, 814, 1044, 4362, 602, 519, 17585, 656, 631, 22462, 3150, 8444, 543, 519, 30240, 17286, 22431, 8444, 616, 13745, 1884, 11717, 668, 1725, 13443, 1547, 6348, 2173, 13926, 8444, 616, 811, 3362, 11368, 538, 2098, 337, 11656, 2175, 538, 513, 1395, 565, 9707, 540, 2098, 337, 5353, 273, 269, 1452, 2164, 616, 1713, 1317, 789, 17362, 519, 1259, 585, 2870, 838, 842, 3055, 3457, 602, 7048, 593, 2098, 337, 5353, 273, 563, 288, 2039, 540, 2409, 267, 1519, 4496, 268, 16955, 3114, 32350, 18254, 267, 723, 1044, 6964, 538, 519, 10282, 540, 29447, 5353, 543, 2098, 337, 5353, 2326, 1496, 272, 267, 279, 3910, 9210, 527, 32681, 2208, 1496, 273, 267, 280, 3910, 513, 7636, 11237, 2073, 543, 6850, 23755, 18254, 1505, 2073, 1496, 1321, 268, 1428, 4940, 5082, 10635, 8707, 18254, 568, 513, 1796, 719, 1184, 585, 2504, 1813, 547, 922, 4824, 8666, 3887, 937, 10635, 8707, 543, 6850, 13906, 24608, 7207, 269, 634, 1935, 568, 11543, 1719, 1317, 621, 781, 1463, 267, 20522, 267, 13476, 2922, 267, 543, 1875, 1790, 3326, 5024, 1547, 5082, 10635, 8707, 18254, 3322, 15205, 519, 23386, 3070, 883, 606, 6850, 23755, 1591, 267, 1141, 519, 19650, 1031, 568, 513, 14041, 1500, 540, 14806, 710, 1673, 25660, 17646, 12547, 630, 10499, 302, 1040, 16792, 6453, 2164, 538, 519, 3114, 12249, 1436, 540, 519, 23386, 5196, 519, 674, 15674, 269, 5082, 10635, 8707, 18254, 568, 20522, 543, 10597, 16345, 1063, 519, 15098, 1570, 543, 14041, 269, 1323, 25617, 5277, 3070, 568, 1031, 609, 674, 15674, 607, 513, 2324, 19650, 538, 606, 6850, 23755, 1591, 547, 9585, 519, 6850, 24119, 3789, 540, 25801, 26828, 269, 19793, 1324, 7833, 4670, 11098, 543, 1942, 5786, 998, 6850, 23755, 18254, 9936, 1852, 1496, 1704, 268, 866, 4940, 5082, 10635, 8707, 18254, 666, 581, 513, 9621, 2029, 585, 2870, 1164, 23829, 1051, 5223, 2890, 2389, 8962, 540, 1114, 2326, 952, 519, 4496, 18254, 568, 22297, 2047, 689, 1507, 543, 8032, 22809, 269, 4635, 713, 2029, 814, 1500, 5958, 908, 2890, 19491, 549, 9188, 585, 2890, 2173, 778, 1456, 813, 2993, 2275, 725, 12863, 543, 14949, 269, 901, 1505, 6087, 2653, 21753, 540, 476, 274, 291, 2890, 560, 23461, 593, 1164, 3613, 31104, 8407, 269, 5082, 10635, 8707, 18254, 666, 2014, 17285, 12274, 547, 2981, 883, 513, 4396, 4496, 543, 15666, 547, 519, 30932, 2627, 952, 519, 23386, 3070, 11392, 6190, 3167, 1699, 269, 932, 20149, 12274, 616, 4646, 1369, 519, 23386, 950, 513, 17285, 6070, 568, 15702, 538, 1216, 269, 1323, 15755, 17285, 6070, 3070, 568, 1031, 607, 23386, 267, 609, 606, 606, 1712, 24760, 269, 634, 30932, 267, 519, 20024, 19650, 267, 568, 5116, 1657, 519, 606, 1712, 269, 16792, 513, 6453, 13942, 5849, 3811, 31338, 540, 519, 18254, 269, 634, 2890, 2389, 944, 781, 6850, 2275, 1335, 1227, 20024, 2497, 11188, 13920, 543, 6111, 666, 581, 6417, 676, 14577, 1184, 6724, 971, 607, 6453, 267, 13942, 4908, 267, 10279, 5223, 267, 19650, 7934, 267, 543, 9633, 269, 15316, 2326, 267, 971, 607, 8407, 267, 4496, 23212, 267, 25801, 22169, 267, 543, 15373, 832, 267, 666, 581, 1031, 547, 1711, 2890, 2389, 8962, 543, 2890, 1922, 324, 2137, 998, 713, 1184, 585, 1585, 5301, 4586, 1607, 1353, 6964, 519, 3608, 6850, 2275, 8707, 18254, 1505, 547, 30075, 519, 29447, 5353, 270, 313, 337, 5353, 1570, 269, 1284, 946, 1585, 10763, 2553, 899, 2473, 11920, 32250, 267, 11158, 23724, 1043, 21655, 543, 2185, 15304, 16785, 547, 2268, 519, 25675, 1761, 540, 519, 1570, 563, 763, 2326, 1031, 585, 519, 10282, 543, 18572, 540, 1193, 2632, 1756, 13276, 523, 728, 270, 1990, 597, 935, 1756, 13276, 523, 728, 2706, 331, 3430, 823, 630, 306, 337, 5353, 270, 313, 337, 5353, 264, 6094, 8874, 616, 282, 1193 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 3983, 8217, 912, 3546, 952, 561, 910, 476, 272, 13843, 476, 271, 912, 7386, 1689, 8217, 6910, 9230, 331, 910, 476, 272, 267, 575, 4917, 3546, 952, 561, 1341, 476, 272, 10922, 3193, 9078, 912, 7386, 1689, 8217, 6910, 9230, 331, 1341, 476, 272, 267, 575, 4917, 3546, 952, 575, 910, 476, 272, 13843, 476, 271, 912, 7386, 1689, 8217, 6910, 9230, 331, 267, 575, 910, 476, 272, 4917, 3546, 952, 575, 1341, 476, 272, 10922, 3193, 14682, 912, 7386, 1689, 8217, 6910, 9230, 331, 267, 575, 1341, 476, 272, 4917, 2018, 1948, 476, 476, 400, 353, 405, 370, 16575, 13168, 390, 377, 384, 369, 22322, 2018, 585, 1680, 538, 1689, 8217, 912, 3546, 952, 1680, 538, 1434, 8217, 912, 7386, 1948, 476, 476, 399, 365, 10524, 369, 267, 476, 29635, 370, 357, 454, 7386, 3983, 8217, 6910, 263, 577, 836, 994, 7386, 1434, 8217, 31927, 263, 577, 836, 994, 7386, 1689, 318, 4148, 698, 815, 6936, 692, 2018, 1900, 6834, 476, 272, 692, 2018, 1948, 567, 476, 402, 373, 413, 368, 360, 390, 365, 454, 2018, 952, 711, 1689, 318, 4148, 698, 912, 3546, 2736, 692, 1038, 1948, 476, 406, 375, 7549, 383, 369, 16648, 391, 369, 454, 1038, 952, 1434, 8217, 912, 2018, 2132, 910, 272, 454, 1038, 3116, 912, 2018, 2132, 1900, 454, 0, 258, 8193, 281, 30016, 268, 279, 19930, 476, 12916, 379, 17958, 27730, 18263, 510, 13200, 509, 421, 499, 379, 25622, 13213, 505, 27310, 26233, 507, 26033, 481, 8147, 476, 476, 18777, 353, 419, 506, 509, 19764, 478, 417, 356, 489, 26166, 22909, 494, 8147, 476, 28859, 351, 502, 21251, 21928, 14035, 504, 8147, 21928, 30678, 419, 366, 378, 692, 18411, 8587, 28859, 351, 502, 25203, 362, 16088, 14756, 503, 27936, 22047, 11590, 490, 9463, 487, 21550, 495, 8147, 13213, 498, 18713, 508, 14395, 481, 7511, 18809, 31365, 28859, 479, 491, 31308, 484, 12486, 692, 8587, 22614, 353, 374, 28032, 489, 1384, 2018, 476, 27447, 24662, 281, 1496, 272, 19885, 1638, 267, 273, 267, 274, 2639, 25639, 476, 272, 454, 3546, 26444, 4449, 476, 273, 454, 3546, 1315, 454, 25639, 476, 274, 692, 2018, 476, 27447, 24731, 281, 1496, 272, 267, 274, 267, 273, 6540, 8587, 476, 26166, 22909, 494, 16088, 7531, 8587, 17276, 478, 507, 420, 371, 363, 16088, 476, 28859, 507, 508, 27747, 372, 28997, 478, 22287, 499, 27747, 372, 25335, 482, 7511, 25426, 362, 30903, 502, 8147, 13601, 420, 486, 361, 16533, 365, 4970, 353, 26175, 491, 26233, 507, 420, 371, 363, 8147, 13601, 26175, 491, 15159, 20881, 496, 25051, 496, 7511, 26233, 507, 420, 371, 363, 8147, 9463, 355, 13601, 26175, 491, 15159, 12916, 379, 17958, 21550, 486, 25520, 421, 502, 509, 28578, 7511, 25051, 351, 19764, 493, 23521, 354, 20001, 483, 20693, 358, 14395, 508, 27064, 364, 12486, 692, 18257, 7531, 258, 421, 355, 500, 10429, 486, 15159, 476, 22614, 362, 478, 22287, 499, 7511, 20881, 496, 25051, 496, 25051, 351, 19764, 493, 454, 3698, 538, 4650, 20172, 2187, 825, 952, 711, 3597, 16000, 543, 711, 3597, 16192, 912, 1038, 2132, 692, 825, 538, 4650, 20172, 16000, 994, 825, 1820, 20172, 22183, 994, 825, 538, 4650, 20172, 16192, 2020, 258, 28859, 507, 508, 20881, 496, 25051, 496, 19867, 497, 22287, 364, 25913, 19764, 493, 8587, 476, 13213, 502, 15159, 12916, 379, 17958, 21550, 486, 7511, 25913, 25622, 12571, 356, 825, 17276, 482, 509, 25335, 487, 16533, 365, 15159, 476, 13127, 28187, 31563, 13213, 502, 420, 25693, 23523, 478, 26266, 355, 420, 369, 364, 16533, 365, 13601, 25203, 368, 23523, 478, 26266, 355, 420, 369, 364, 8147, 476, 476, 12571, 355, 10254, 503, 13127, 364, 365, 19867, 497, 22287, 364, 10951, 361, 420, 374, 360, 8147, 19764, 373, 24731, 21550, 486, 23946, 370, 16533, 507, 13644, 499, 23523, 478, 9463, 367, 420, 369, 364, 454, 3698, 538, 4650, 273, 20172, 2187, 825, 10518, 17342, 2639, 825, 1064, 284, 10174, 692, 825, 1948, 27962, 27064, 363, 417, 351, 481, 8147, 13127, 28187, 31563, 21550, 486, 18809, 20069, 30317, 27381, 510, 8147, 16533, 365, 23746, 23284, 13601, 25203, 368, 23523, 478, 31284, 420, 369, 364, 454, 825, 1247, 1064, 568, 711, 7183, 610, 476, 7003, 263, 23637, 264, 285, 271, 912, 1038, 1948, 13127, 28187, 31563, 418, 490, 485, 12571, 495, 7511, 21251, 15159, 419, 358, 374, 14756, 497, 30536, 454, 1038, 952, 1064, 568, 711, 7183, 912, 2018, 10518, 6910, 263, 1842, 994, 2018, 1064, 284, 1842, 16000, 454, 1038, 1948, 13127, 28187, 31563, 418, 490, 485, 12571, 495, 7511, 15159, 419, 358, 374, 14756, 497, 30536, 28793, 8147, 421, 480, 352, 16533, 365, 19764, 373, 24731, 31968, 22047, 12916, 491, 419, 377, 362, 8147, 23946, 370, 13213, 505, 27310, 19867, 497, 22287, 364, 476, 23284, 9463, 488, 23523, 478, 9463, 367, 419, 506, 489, 454, 1038, 3116, 912, 2018, 1064, 284, 23637, 21014, 4590, 2018, 1820, 263, 1842, 22183, 994, 2018, 1064, 284, 1842, 16192, 692, 258, 21228, 13090, 825, 476, 14756, 481, 18263, 510, 272, 567, 23084, 30668, 16482, 258, 567, 476, 30244, 19404, 490, 476, 476, 12916, 379, 17958, 21550, 486, 7511, 25913, 19764, 493, 13213, 505, 27310, 567, 13127, 362, 508, 27064, 364, 18809, 31365, 421, 479, 491, 31308, 484, 12571, 356, 8147, 23523, 486, 28997, 478, 22287, 499, 7511, 30903, 502, 12486, 476, 5236, 376, 486, 31284, 30837, 351, 7511, 30837, 508, 20881, 496, 25051, 496, 7511, 21550, 486, 26233, 507, 420, 371, 363, 8147, 15159, 30837, 508, 27747, 372, 27747, 372, 25335, 479, 7511, 14395, 508, 27064, 364, 26233, 507, 420, 371, 363, 24724, 454, 3698, 1187, 272, 20172, 2187, 825, 1948, 476, 10254, 505, 417, 375, 374, 21550, 486, 454, 825, 10518, 17342, 2639, 825, 1064, 284, 10174, 692, 825, 1948, 476, 476, 13213, 505, 27310, 21550, 486, 7511, 31308, 489, 24662, 25520, 19764, 373, 24731, 567, 476, 23284, 9463, 488, 421, 479, 491, 31308, 484, 18777, 378, 27936, 476, 5236, 376, 486, 19404, 491, 28884, 23521, 350, 10524, 370, 15159, 21550, 486, 21251, 420, 25693, 20992, 419, 358, 374, 24724, 454, 825, 1247, 1064, 568, 711, 7183, 476, 610, 7003, 263, 23637, 264, 285, 271, 912, 1038, 1948, 476, 13127, 377, 497, 23746, 23284, 18777, 379, 25426, 362, 28793, 8147, 13127, 371, 355, 26166, 418, 498, 363, 25263, 502, 10429, 486, 31308, 489, 21550, 486, 8147, 12916, 484, 21251, 13213, 505, 27310, 14395, 508, 30522, 483, 18777, 379, 25426, 362, 454, 1038, 952, 1064, 568, 711, 7183, 912, 2018, 10518, 6910, 263, 1842, 994, 2018, 1064, 284, 1842, 16000, 454, 1038, 1948, 13127, 377, 497, 421, 506, 478, 28884, 19764, 373, 24731, 28793, 267, 13127, 376, 373, 24731, 32517, 350, 418, 479, 363, 8147, 13213, 505, 27310, 421, 479, 491, 31308, 484, 476, 13127, 373, 370, 417, 479, 504, 476, 9463, 367, 26166, 418, 498, 363, 18777, 379, 25426, 362, 454, 1038, 3116, 912, 2018, 1064, 284, 23637, 21014, 10797, 2018, 1948, 476, 13213, 505, 27310, 18777, 379, 25426, 362, 12571, 356, 454, 2018, 1820, 263, 1842, 22183, 2020, 2018, 1948, 31006, 12571, 492, 9463, 367, 418, 490, 485, 27936, 12571, 356, 8147, 454, 2018, 1064, 284, 1842, 16192, 454, 0, 258, 8193, 281, 30016, 268, 279, 19930, 476, 12916, 379, 17958, 27730, 18263, 510, 13200, 509, 421, 499, 379, 25622, 13213, 505, 27310, 26233, 507, 26033, 481, 8147, 476, 476, 18777, 353, 419, 506, 509, 19764, 478, 417, 356, 489, 26166, 22909, 494, 8147, 476, 28859, 351, 502, 21251, 21928, 14035, 504, 8147, 21928, 30678, 419, 366, 378, 692, 18411, 8587, 28859, 351, 502, 25203, 362, 16088, 14756, 503, 27936, 4970, 353, 14748, 30837, 508, 419, 358, 374, 421, 497, 378, 23989, 23521, 354, 23989, 419, 353, 374, 4970, 353, 14748, 30837, 508, 420, 368, 509, 10533, 368, 12255, 12486, 12916, 491, 12255, 418, 490, 487, 419, 483, 356, 20881, 484, 31365, 25913, 19764, 493, 11858, 502, 417, 480, 357, 8147, 14395, 481, 10524, 361, 7511, 30006, 493, 14748, 420, 488, 480, 30536, 9463, 359, 11858, 502, 417, 480, 357, 22287, 499, 14748, 12255, 21211, 25707, 19930, 13127, 364, 484, 4970, 353, 12255, 25203, 372, 20693, 510, 13213, 498, 18713, 508, 22047, 13161, 364, 7511, 421, 497, 378, 23989, 12486, 30522, 353, 29072, 12255, 21211, 476, 271, 476, 18263, 489, 14035, 500, 8147, 30244, 4970, 353, 14748, 12255, 21211, 421, 25693, 21251, 25263, 504, 23284, 421, 505, 370, 19764, 478, 14035, 368, 12486, 692, 19930, 476, 20881, 504, 32517, 501, 30536, 13644, 368, 16533, 365, 15159, 476, 20069, 4970, 353, 14748, 421, 497, 378, 23989, 26166, 10254, 360, 23989, 419, 353, 374, 4970, 353, 14748, 12255, 8147, 16043, 495, 10524, 361, 421, 506, 478, 28884, 420, 492, 371, 23523, 501, 476, 22047, 13161, 364, 7511, 421, 497, 378, 23989, 8147, 421, 497, 378, 23989, 7511, 29219, 23989, 419, 353, 374, 4970, 353, 12255, 25203, 372, 20693, 510, 7511, 25520, 12486, 692, 3546, 476, 27447, 24662, 16088, 263, 273, 9847, 476, 275, 9847, 476, 274, 264, 1341, 630, 276, 9847, 476, 277, 9847, 476, 275, 994, 3546, 476, 27447, 24731, 16088, 278, 9847, 476, 271, 9847, 476, 279, 454, 3546, 13127, 492, 509, 18713, 510, 16088, 31079, 1341, 476, 275, 4792, 815, 476, 3199, 278, 692, 8587, 476, 26166, 22909, 494, 16088, 454, 16875, 22614, 365, 375, 25263, 376, 30678, 419, 374, 372, 31968, 18777, 350, 28997, 501, 4970, 353, 14748, 12255, 21211, 7511, 25520, 8147, 421, 355, 500, 10429, 486, 10524, 492, 31006, 12916, 492, 20069, 10533, 486, 12916, 491, 18263, 509, 16533, 365, 15159, 28578, 23989, 299, 272, 13127, 23687, 700, 273, 476, 7511, 23989, 14035, 368, 19764, 478, 417, 356, 489, 25203, 372, 20693, 510, 25707, 8587, 476, 13200, 365, 30678, 30006, 493, 12916, 491, 12255, 21211, 421, 25693, 18021, 498, 25051, 497, 14035, 482, 30678, 476, 271, 2507, 280, 476, 7511, 420, 490, 481, 18713, 368, 19540, 483, 8147, 18713, 510, 27882, 353, 4970, 353, 14748, 12255, 21211, 7511, 25520, 28793, 23746, 420, 25693, 25263, 504, 24731, 27064, 364, 2108, 418, 374, 351, 24731, 892, 12486, 28032, 489, 417, 28187, 8147, 276, 1341, 476, 278, 815, 476, 1321, 25707, 8587, 13127, 506, 357, 30244, 26175, 491, 418, 481, 483, 19540, 369, 31284, 8147, 16533, 484, 25051, 497, 31176, 491, 12916, 491, 7511, 12255, 29219, 18777, 378, 419, 377, 362, 20992, 476, 2420, 8147, 23946, 370, 16533, 484, 13213, 505, 12916, 491, 4163, 284, 272, 13127, 372, 355, 24662, 31284, 13601, 418, 361, 350, 13213, 511, 28786, 12486, 13213, 505, 12916, 491, 4163, 13127, 379, 483, 27936, 15159, 476, 271, 476, 16043, 500, 476, 272, 8147, 454, 8587, 476, 30244, 15159, 18713, 510, 20992, 4970, 353, 14748, 12255, 21211, 25203, 372, 20693, 510, 27818, 26033, 481, 420, 503, 495, 28996, 13213, 505, 12916, 491, 24724, 23746, 420, 25693, 24731, 27064, 364, 7511, 31006, 27962, 25520, 20992, 476, 280, 1341, 476, 280, 1341, 476, 272, 815, 476, 866, 12486, 692, 8587, 17276, 478, 507, 420, 371, 363, 16088, 454, 1363, 476, 10429, 486, 10254, 353, 13161, 511, 13601, 31284, 417, 497, 359, 14748, 421, 497, 378, 23989, 421, 499, 379, 8147, 419, 482, 370, 12571, 492, 17958, 11590, 353, 29004, 351, 7511, 25913, 25622, 419, 350, 362, 32517, 507, 13601, 27936, 15159, 331, 272, 418, 505, 368, 421, 499, 379, 25707, 1363, 22614, 482, 370, 12571, 492, 418, 488, 488, 331, 273, 7511, 29219, 20693, 510, 28996, 331, 272, 31968, 8147, 10429, 357, 421, 481, 357, 20693, 510, 14395, 490, 18263, 489, 12571, 492, 421, 479, 491, 31308, 484, 331, 272, 14035, 482, 419, 494, 484, 13213, 505, 12916, 491, 8147, 18777, 364, 23523, 501, 14035, 482, 419, 494, 484, 31006, 12571, 492, 13601, 12916, 491, 421, 506, 478, 28884, 13213, 505, 272, 7511, 29830, 373, 418, 362, 488, 418, 481, 483, 19540, 369, 12486, 7987, 494, 26406, 356, 10254, 370, 13213, 505, 12916, 491, 23946, 370, 25203, 372, 20693, 510, 28996, 476, 28996, 299, 272, 421, 497, 378, 23989, 31968, 7987, 495, 7531, 1038, 28859, 497, 378, 23989, 4970, 353, 12255, 25203, 372, 20693, 510, 16088, 8364, 787, 11858, 502, 417, 480, 357, 13213, 505, 12916, 491, 8147, 323, 13424, 11858, 502, 417, 480, 357, 25051, 497, 31176, 491, 12916, 491, 29219, 8147, 454, 2018, 759, 815, 630, 331, 272, 15010, 1998, 266, 331, 273, 15010, 1998, 266, 8364, 787, 264, 260, 1015, 8147, 8364, 787, 815, 630, 331, 272, 15010, 1998, 266, 331, 273, 15010, 1998, 266, 8364, 787, 8358, 1015, 5405, 505, 454, 2018, 5903, 11966, 265, 31575, 27161, 284, 2908, 5903, 11966, 263, 637, 11850 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 2686, 15364, 563, 268, 16508, 17583, 281, 32655, 2833, 1711, 2178, 1514, 13218, 602, 3986, 1312, 1367, 2208, 543, 7104, 3961, 563, 268, 23281, 540, 5617, 784, 532, 281, 30880, 538, 22612, 12738, 25040, 835, 779, 1747, 1369, 513, 6626, 1514, 5958, 267, 5807, 513, 2631, 540, 10362, 543, 3483, 563, 347, 15973, 531, 8081, 1475, 8624, 29193, 27067, 1475, 10387, 10899, 17583, 1475, 306, 1619, 540, 5617, 784, 532, 2008, 347, 21886, 5971, 618, 1475, 24292, 6561, 1475, 4537, 1563, 2833, 1475, 12892, 5958, 2008, 347, 301, 4669, 1005, 1475, 9199, 1288, 1475, 1805, 3994, 1514, 13218, 1475, 303, 17123, 2008, 8139, 519, 1909, 602, 2146, 4249, 538, 22612, 12738, 2620, 839, 938, 8223, 540, 891, 13710, 2853, 269, 1635, 3246, 1489, 267, 7326, 267, 3929, 4276, 267, 543, 513, 2631, 540, 10362, 267, 2950, 3565, 547, 519, 7096, 1764, 891, 12738, 723, 593, 2043, 269, 769, 2490, 267, 713, 3310, 10237, 919, 21286, 607, 4384, 919, 1831, 3742, 5171, 1369, 2486, 269, 769, 519, 1739, 3296, 267, 649, 786, 2263, 875, 891, 14759, 3337, 1312, 2043, 543, 519, 6626, 1514, 5251, 454, 763, 8177, 540, 9024, 2747, 681, 3770, 338, 593, 15706, 543, 5980, 454, 16352, 8268, 519, 5933, 3238, 538, 22612, 12738, 267, 621, 568, 1271, 547, 5490, 4514, 883, 519, 1764, 891, 12738, 723, 593, 2043, 543, 2486, 269, 1677, 9414, 713, 267, 1577, 721, 2015, 513, 19858, 2013, 1353, 5473, 513, 3909, 22612, 9161, 1369, 513, 1507, 2146, 563, 5331, 513, 1762, 4807, 3957, 15609, 945, 568, 827, 547, 10929, 606, 22612, 16008, 538, 1200, 14316, 269, 634, 1101, 3942, 540, 519, 9161, 3322, 9668, 689, 1200, 4948, 1272, 267, 607, 1352, 18956, 338, 547, 513, 694, 7672, 4087, 585, 513, 1974, 540, 26126, 543, 5289, 7041, 269, 901, 15639, 689, 6848, 8155, 2636, 15609, 547, 31028, 689, 1158, 569, 19240, 543, 1445, 9003, 593, 1200, 2123, 7004, 563, 763, 1985, 3942, 540, 519, 22612, 9161, 568, 1634, 607, 1929, 514, 1275, 267, 1141, 15609, 2833, 513, 1533, 540, 13509, 543, 14345, 1275, 269, 4438, 713, 5123, 267, 1352, 851, 1389, 538, 1585, 12572, 6411, 602, 4161, 1200, 4978, 267, 2418, 267, 543, 1620, 540, 9887, 269, 3414, 29270, 891, 4255, 543, 8062, 267, 15609, 25457, 7096, 5626, 2242, 602, 3337, 1200, 3961, 563, 7661, 267, 519, 2063, 3942, 540, 519, 22612, 1184, 568, 556, 15759, 1674, 883, 2486, 607, 513, 9927, 1367, 269, 15609, 7024, 547, 1200, 2146, 609, 16012, 7326, 543, 15657, 6591, 998, 519, 9161, 1995, 269, 4173, 4567, 1369, 519, 14316, 6173, 919, 267, 607, 1352, 1631, 19299, 1702, 543, 4030, 11603, 1152, 585, 1346, 945, 723, 22734, 2147, 4384, 725, 563, 763, 1764, 540, 971, 22612, 12738, 11498, 3564, 519, 1367, 1377, 282, 789, 849, 1404, 513, 2629, 1909, 538, 5935, 7239, 693, 1804, 269, 3371, 616, 2185, 1883, 3344, 10223, 741, 4644, 912, 268, 8836, 27264, 281, 9024, 2747, 12738, 4196, 607, 3532, 6127, 585, 8497, 2686, 5389, 676, 8429, 1524, 18577, 1702, 543, 2853, 547, 7820, 5481, 563, 268, 4317, 3213, 1127, 542, 281, 1452, 32537, 1711, 2178, 7554, 1851, 5171, 267, 5807, 9322, 543, 17604, 1369, 2950, 563, 268, 14740, 19725, 281, 1635, 18460, 606, 22612, 9161, 267, 2043, 1020, 513, 2631, 540, 10362, 1145, 547, 741, 2528, 610, 4984, 1247, 585, 3101, 741, 1378, 2189, 9163, 563, 268, 7991, 26504, 281, 1452, 12738, 7794, 7104, 6043, 676, 1128, 3739, 3838, 2418, 267, 7881, 267, 543, 5837, 9479, 602, 3391, 2146, 2818, 538, 2053, 540, 27465, 563, 2414, 2417, 9414, 519, 1764, 540, 22612, 12738, 267, 2015, 519, 1739, 1614, 12258, 4379, 3349, 912, 19064, 668, 1774, 2123, 2208, 543, 1582, 22523, 1475, 26670, 766, 5626, 1134, 5630, 543, 6043, 1475, 293, 8803, 1514, 22122, 543, 9322, 2008, 26180, 659, 4106, 622, 3961, 5250, 543, 2686, 10362, 1145, 1475, 290, 738, 10675, 6568, 543, 1620, 1851, 3309, 2043, 1475, 15430, 2925, 18577, 7326, 543, 5389, 2008, 347, 21886, 5971, 26126, 543, 8086, 1475, 14946, 5718, 1983, 543, 5539, 1475, 9743, 650, 3838, 2418, 267, 7881, 267, 543, 5837, 9479, 2008, 1103, 3932, 267, 22612, 12738, 616, 13710, 2833, 602, 723, 513, 7096, 1764, 593, 1312, 2043, 543, 7239, 269, 3414, 5933, 971, 607, 9668, 267, 1929, 514, 1275, 267, 543, 556, 15759, 1674, 267, 891, 12738, 5512, 2123, 2208, 1247, 8497, 2686, 6561, 269, 1635, 8508, 891, 10723, 14759, 267, 2043, 711, 1152, 1265, 741, 1747, 1369, 2486, 855, 849, 3565, 547, 922, 7104, 4222, 269, 0, 24979, 4875, 344, 6653, 17436, 616, 606, 7533, 851, 540, 17154, 2732, 269, 2961, 12783, 4866, 547, 519, 772, 3387, 749, 26448, 610, 589, 701, 19687, 1920, 269, 4033, 2818, 540, 519, 1920, 616, 16163, 30876, 267, 546, 650, 267, 2073, 524, 6058, 267, 16163, 2917, 267, 3092, 563, 10111, 12783, 616, 5156, 547, 723, 1044, 16916, 585, 519, 1101, 942, 538, 15787, 930, 476, 4335, 271, 1296, 3516, 269, 1358, 1185, 5835, 17145, 609, 13711, 24909, 563, 763, 4122, 11342, 6505, 10538, 3099, 540, 17436, 729, 2663, 593, 2919, 676, 10656, 563, 8649, 5074, 2960, 2640, 540, 17436, 912, 763, 2960, 2640, 540, 17436, 616, 11911, 547, 519, 4527, 540, 1804, 9424, 540, 14434, 543, 6171, 589, 269, 1358, 1832, 2960, 2042, 693, 15922, 543, 1118, 519, 2960, 30437, 563, 28848, 17436, 666, 1118, 519, 2960, 32689, 607, 789, 616, 14095, 609, 14434, 543, 6171, 589, 543, 595, 563, 24916, 10438, 873, 267, 596, 666, 849, 1039, 513, 22635, 540, 9932, 547, 1989, 730, 17436, 543, 946, 607, 513, 3068, 9633, 269, 23680, 621, 585, 1906, 3764, 543, 11547, 1055, 609, 1216, 269, 5617, 10079, 803, 707, 3068, 786, 1831, 32689, 543, 21743, 563, 7804, 1074, 31577, 10433, 547, 9004, 26711, 543, 6926, 332, 8460, 269, 16792, 31577, 17870, 2047, 593, 2960, 666, 849, 948, 596, 1205, 7759, 540, 26711, 543, 7436, 563, 763, 6171, 595, 1336, 538, 17436, 948, 538, 20018, 2504, 269, 634, 20018, 3812, 17799, 519, 1184, 540, 10172, 269, 634, 4191, 540, 10172, 971, 607, 6477, 7695, 267, 32060, 543, 5920, 540, 19514, 2960, 3159, 616, 16607, 676, 4189, 17436, 1036, 783, 337, 569, 563, 10111, 12783, 2270, 513, 2960, 7888, 8770, 1532, 9508, 25558, 2940, 602, 2337, 538, 28472, 2960, 5957, 543, 15237, 3361, 676, 519, 5739, 12345, 540, 519, 3141, 269, 0, 8139, 519, 1072, 4220, 543, 6932, 4145, 2404, 609, 519, 946, 540, 1279, 3856, 23442, 6802, 20127, 454, 31624, 2280, 514, 540, 519, 2817, 3194, 10418, 4320, 476, 5325, 267, 9137, 1297, 281, 476, 16328, 630, 1708, 274, 994, 3682, 2023, 6802, 20127, 630, 13048, 3674, 264, 616, 519, 1034, 3759, 20160, 543, 1455, 6527, 585, 23441, 3679, 21109, 269, 1717, 267, 26076, 3674, 3136, 547, 28511, 3106, 4145, 1813, 547, 519, 8244, 607, 606, 936, 7308, 23716, 6646, 269, 901, 29252, 946, 540, 26076, 3674, 814, 5063, 1044, 3254, 547, 581, 2404, 609, 519, 2799, 1072, 4220, 563, 14611, 1560, 540, 519, 7493, 454, 763, 22629, 540, 23441, 3679, 2504, 676, 9048, 951, 4601, 11006, 547, 543, 32485, 519, 670, 266, 270, 298, 266, 21085, 848, 11747, 1062, 666, 2014, 7293, 543, 28772, 11043, 2242, 538, 519, 22542, 22435, 267, 22542, 17550, 267, 543, 9063, 269, 2060, 519, 2487, 23988, 10311, 689, 1977, 30887, 10938, 1670, 5948, 3823, 1244, 637, 5524, 540, 26076, 3674, 267, 713, 2689, 6212, 593, 519, 8374, 540, 1279, 3856, 946, 540, 26076, 3674, 593, 1585, 1949, 267, 8937, 22435, 267, 15499, 11064, 543, 12982, 15108, 2068, 630, 296, 9720, 1916, 2252, 623, 18444, 946, 538, 594, 9720, 2550, 568, 2404, 609, 2799, 1981, 540, 824, 8801, 4093, 267, 6236, 519, 623, 18444, 23938, 7777, 267, 23386, 543, 15451, 19260, 849, 2115, 11826, 6268, 563, 3682, 2023, 6802, 20127, 630, 13048, 3674, 264, 3625, 519, 670, 266, 270, 298, 266, 2969, 303, 848, 11747, 1062, 538, 519, 23441, 533, 926, 13926, 2281, 269, 1306, 513, 2126, 585, 12884, 525, 23569, 17406, 2068, 630, 294, 26314, 264, 543, 2404, 2175, 267, 23442, 6802, 20127, 616, 519, 2034, 1034, 11311, 3075, 1362, 538, 519, 7330, 630, 300, 1638, 514, 1696, 620, 269, 476, 1220, 280, 1040, 623, 18444, 14001, 15038, 538, 12499, 3766, 770, 878, 9063, 543, 7766, 19260, 540, 16063, 17550, 616, 1634, 547, 2014, 19888, 1600, 2360, 593, 519, 3003, 22542, 8778, 269, 11048, 267, 26076, 3674, 616, 3622, 1134, 7109, 730, 543, 2922, 6527, 269, 1358, 616, 4122, 11311, 6527, 585, 513, 3099, 540, 16063, 22074, 1519, 8819, 1238, 31829, 531, 22377, 267, 2144, 657, 633, 1965, 15047, 4345, 267, 12884, 525, 23569, 17406, 2068, 267, 23441, 5409, 572, 4038, 800, 25102, 27689, 543, 3769, 538, 519, 2126, 540, 4477, 545, 14385, 28894, 9461, 269, 26076, 3674, 616, 1419, 5227, 547, 2550, 538, 519, 6413, 4259, 607, 605, 29091, 9471, 1996, 16063, 21385, 602, 666, 581, 4547, 593, 676, 2566, 543, 5924, 3606, 6527, 630, 299, 334, 543, 26960, 476, 1001, 274, 1040, 7085, 687, 782, 936, 519, 1158, 946, 26076, 3674, 1169, 1032, 2436, 11311, 610, 936, 519, 4831, 609, 519, 1034, 2442, 623, 18444, 1373, 9631, 788, 23432, 1961, 269, 15345, 788, 23432, 1961, 729, 3743, 585, 827, 476, 6872, 260, 540, 519, 2698, 1095, 18587, 540, 26076, 3674, 538, 476, 1001, 280, 630, 10059, 2517, 743, 4532, 531, 322, 2593, 22230, 2607, 1805, 1846, 22230, 2607, 338, 23860, 332, 788, 23432, 1961, 1040, 634, 3328, 1297, 540, 1095, 18587, 829, 1032, 568, 1472, 476, 13647, 2929, 5001, 28428, 1472, 476, 1724, 5479, 9489, 630, 306, 541, 3534, 1731, 1696, 620, 269, 476, 1708, 272, 1040, 26076, 3674, 960, 676, 32485, 519, 7250, 9706, 582, 9914, 6802, 630, 295, 266, 270, 298, 266, 21085, 848, 6802, 264, 799, 29620, 519, 21131, 540, 7250, 676, 533, 926, 13926, 2281, 543, 13604, 519, 19718, 540, 29414, 11379, 269, 4475, 267, 713, 7271, 29620, 3679, 21131, 689, 23441, 533, 926, 13926, 2281, 269, 5221, 540, 519, 22629, 540, 3679, 21131, 267, 26076, 3674, 616, 11311, 547, 1521, 543, 2061, 3679, 17406, 267, 12884, 525, 23569, 17406, 2068, 630, 294, 26314, 1070, 21385, 267, 543, 547, 24390, 5739, 5222, 593, 519, 7181, 543, 5924, 24026, 3361, 676, 824, 13310, 5061, 269, 1717, 267, 1317, 540, 741, 3622, 2922, 2470, 267, 26076, 3674, 666, 1419, 581, 936, 26078, 8282, 543, 1031, 1279, 3856, 269, 634, 4214, 585, 1279, 3856, 946, 540, 26076, 3674, 666, 4268, 607, 23576, 538, 713, 2689, 799, 666, 1291, 547, 811, 2352, 7664, 540, 1353, 2164, 269, 634, 1977, 30887, 10938, 1670, 5948, 630, 8980, 288, 264, 5063, 3370, 7454, 6657, 31876, 630, 21990, 2026, 264, 593, 519, 4791, 946, 540, 623, 18444, 3797, 538, 13922, 547, 24390, 519, 20025, 1095, 18587, 540, 26076, 3674, 630, 307, 1173, 1144, 1731, 1696, 620, 269, 476, 1708, 273, 1040, 1452, 6527, 616, 1419, 1031, 547, 1521, 2175, 1141, 623, 18444, 946, 814, 711, 2943, 1044, 8810, 6225, 543, 616, 1419, 1031, 585, 1279, 2165, 2126, 269, 4340, 547, 15917, 525, 1696, 620, 1421, 621, 568, 6059, 602, 1472, 476, 4792, 260, 540, 2550, 1210, 623, 18444, 2126, 723, 1100, 16315, 540, 991, 630, 295, 599, 525, 1696, 620, 269, 476, 1001, 280, 1040, 1677, 1732, 1174, 519, 3463, 602, 936, 2224, 540, 26076, 3674, 10460, 547, 519, 2551, 267, 621, 568, 6225, 547, 1413, 693, 519, 2009, 4093, 998, 3105, 2152, 602, 723, 7018, 269, 1280, 1383, 267, 519, 936, 13310, 540, 11216, 2968, 513, 3463, 607, 11216, 941, 1336, 547, 7519, 519, 8937, 22435, 13302, 519, 4763, 543, 17381, 540, 519, 16063, 26168, 630, 26422, 1696, 620, 269, 476, 1001, 280, 1040, 10765, 2090, 723, 3254, 602, 519, 936, 2224, 540, 26076, 3674, 568, 5532, 547, 513, 3099, 540, 1072, 2175, 267, 711, 1152, 3908, 547, 519, 17522, 540, 519, 8937, 22435, 267, 799, 28901, 1007, 543, 1713, 3106, 4145, 3823, 891, 5061, 563, 5194, 1271, 3815, 568, 519, 936, 268, 639, 720, 540, 26076, 3674, 538, 519, 11361, 2551, 269, 769, 513, 1353, 14236, 519, 946, 540, 26076, 3674, 1851, 8808, 1753, 2550, 538, 519, 7330, 267, 621, 729, 1336, 602, 476, 2767, 260, 540, 8808, 1753, 2550, 941, 1210, 26076, 3674, 630, 305, 2033, 1696, 620, 269, 476, 1001, 278, 1040, 2986, 713, 1482, 2551, 267, 621, 729, 1336, 602, 827, 476, 5392, 260, 540, 891, 1095, 18587, 941, 711, 2963, 1759, 269, 2755, 930, 2090, 723, 711, 3254, 598, 5477, 1239, 610, 723, 3254, 32475, 267, 972, 616, 513, 1297 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 267, 3976, 3850, 513, 4028, 543, 5730, 5114, 547, 7413, 4220, 269, 3414, 713, 11826, 1935, 267, 2949, 8484, 3106, 568, 8476, 267, 3246, 15915, 543, 12284, 609, 4708, 540, 2247, 1282, 19426, 563, 288, 518, 517, 27658, 10250, 1464, 568, 606, 1898, 2460, 585, 3533, 7114, 519, 5169, 540, 2694, 538, 519, 2680, 540, 2042, 610, 13685, 269, 1879, 513, 15059, 4386, 610, 513, 851, 2115, 547, 581, 8719, 267, 621, 568, 2629, 547, 3533, 1205, 547, 519, 2707, 540, 519, 1966, 547, 3313, 519, 2014, 543, 2057, 1022, 24088, 269, 2060, 7098, 517, 27658, 8446, 10824, 267, 1142, 5057, 666, 581, 14360, 689, 922, 5478, 547, 922, 3803, 10380, 593, 519, 8484, 269, 901, 10250, 1464, 12588, 849, 16881, 15324, 5826, 2238, 267, 607, 23390, 666, 2708, 519, 5957, 543, 15237, 540, 2694, 543, 1544, 585, 10682, 1354, 789, 1831, 513, 1761, 1966, 563, 18184, 1841, 543, 6042, 585, 7098, 2246, 923, 10824, 454, 763, 18229, 2872, 568, 1641, 547, 7453, 4441, 543, 6042, 547, 2327, 8184, 3106, 269, 17224, 517, 27658, 8446, 10824, 1404, 513, 1883, 1909, 538, 735, 2391, 609, 891, 4170, 269, 27943, 4703, 267, 971, 607, 519, 28158, 28645, 8881, 10837, 630, 292, 3008, 288, 264, 522, 340, 3288, 8549, 28645, 10029, 630, 293, 8150, 1070, 20818, 4808, 3823, 519, 8446, 543, 10250, 1464, 540, 7098, 517, 27658, 2694, 547, 2327, 602, 3106, 4441, 616, 1558, 563, 27735, 543, 6639, 7835, 540, 8446, 10824, 538, 7098, 517, 2246, 923, 454, 15275, 2305, 10824, 585, 519, 18229, 2872, 616, 1454, 811, 982, 1175, 513, 6003, 269, 1358, 616, 606, 1898, 1907, 547, 2327, 538, 1922, 2775, 10727, 267, 3986, 18229, 3106, 267, 7520, 2694, 10250, 1464, 543, 16783, 609, 7453, 18229, 6042, 269, 8729, 547, 891, 1507, 267, 15739, 564, 24795, 267, 519, 18229, 2872, 666, 7500, 538, 513, 2922, 543, 5150, 1604, 267, 3246, 15915, 543, 12284, 609, 519, 6015, 547, 1491, 547, 519, 22839, 609, 4708, 540, 2247, 563, 4415, 519, 6639, 8441, 4797, 538, 519, 18229, 2872, 267, 2012, 680, 919, 616, 849, 5329, 10605, 609, 5647, 269, 27009, 267, 930, 10824, 6451, 16674, 2839, 630, 20238, 1470, 6363, 15968, 22384, 264, 13365, 799, 1450, 1256, 811, 3608, 2359, 540, 1239, 543, 10250, 1464, 269, 1452, 13365, 1118, 621, 2009, 547, 4558, 513, 1804, 4320, 540, 1344, 593, 1142, 5057, 267, 689, 922, 5663, 547, 922, 946, 538, 8184, 269, 3353, 5974, 543, 5826, 6887, 666, 4061, 3533, 1569, 1898, 1239, 676, 3274, 17655, 519, 16674, 2839, 13863, 267, 3976, 14123, 5826, 543, 5464, 4238, 269, 901, 19427, 540, 2029, 543, 320, 518, 517, 27658, 8446, 2417, 10597, 538, 1922, 2775, 10727, 543, 2337, 2226, 1164, 3106, 4441, 538, 519, 18229, 2872, 563, 258, 28444, 1005, 1948, 1103, 293, 2775, 1948, 9824, 6636, 0, 1492, 979, 3562, 3135, 585, 1565, 827, 1022, 1641, 267, 585, 782, 6502, 543, 1565, 5759, 454, 19322, 24628, 3427, 568, 519, 1655, 3059, 1907, 585, 3450, 543, 1565, 543, 519, 1655, 3059, 1907, 585, 20762, 1565, 563, 10743, 666, 6467, 1063, 1614, 2542, 2157, 585, 1142, 2376, 267, 1224, 519, 2376, 16965, 267, 5873, 2262, 5731, 9629, 725, 543, 1224, 8847, 538, 2296, 1210, 8585, 26713, 268, 31812, 781, 5595, 26487, 8675, 269, 3962, 2376, 666, 849, 581, 12261, 883, 936, 476, 3199, 4654, 563, 5327, 11220, 609, 7820, 6267, 538, 2247, 267, 519, 16504, 1753, 2985, 3091, 3078, 3584, 543, 3750, 2275, 10248, 23877, 547, 948, 1832, 1053, 7722, 269, 17115, 8242, 1543, 2306, 519, 1753, 2985, 519, 3501, 1747, 547, 1265, 2189, 3992, 29945, 543, 4901, 2798, 267, 543, 547, 5337, 924, 2875, 7279, 2336, 763, 5664, 5426, 1753, 2985, 3032, 619, 547, 1647, 1377, 6267, 269, 8249, 666, 581, 1031, 547, 8300, 7279, 267, 4497, 538, 4901, 267, 610, 5000, 4830, 1565, 269, 16952, 2934, 593, 519, 5664, 5426, 1753, 2985, 1331, 519, 11473, 540, 519, 10432, 267, 2311, 5025, 8566, 28917, 4930, 267, 543, 1454, 811, 2336, 32098, 693, 519, 4400, 1377, 568, 2966, 547, 581, 540, 10083, 547, 1053, 538, 4400, 3427, 269, 634, 1753, 2985, 2636, 1053, 547, 4497, 609, 2934, 971, 607, 18044, 12700, 543, 2201, 901, 4303, 269, 4841, 666, 2932, 1382, 543, 1020, 2565, 3206, 1983, 602, 786, 5965, 873, 585, 2852, 543, 513, 4876, 563, 19322, 24628, 3427, 281, 7216, 16504, 3091, 513, 2922, 267, 2085, 29003, 3872, 1604, 547, 8300, 519, 1985, 5108, 540, 5640, 563, 5978, 16022, 8818, 729, 2813, 4481, 585, 1762, 6267, 267, 3246, 513, 1158, 540, 3408, 543, 6602, 693, 741, 31840, 563, 5978, 3810, 2502, 267, 1875, 27395, 4930, 616, 2966, 585, 4098, 3988, 267, 609, 1377, 539, 4930, 585, 1169, 5467, 543, 2067, 8301, 1224, 17038, 3716, 269, 0, 3674, 972, 513, 1293, 1599, 538, 30731, 888, 3674, 972, 513, 1293, 1599, 538, 30731, 888, 288, 815, 1293, 263, 1193, 2073, 1273, 3738, 7024, 519, 1297, 540, 20825, 540, 1273, 538, 1193, 1547, 1403, 1273, 568, 606, 5044, 5627, 2789, 3270, 267, 1287, 1293, 7024, 519, 2040, 540, 519, 20825, 540, 782, 2609, 540, 1273, 538, 1193, 1547, 1293, 13292, 2609, 540, 1273, 538, 1931, 267, 689, 2451, 547, 1318, 269, 7956, 12415, 538, 1193, 666, 1152, 581, 20083, 2899, 563, 1692, 798, 596, 798, 513, 1293, 538, 30731, 888, 17445, 3095, 547, 713, 2626, 454, 268, 589, 815, 314, 272, 476, 273, 476, 274, 476, 275, 476, 276, 563, 268, 476, 272, 476, 273, 476, 274, 476, 276, 476, 277, 563, 268, 476, 278, 476, 273, 476, 275, 476, 274, 476, 276, 30092, 268, 2040, 10490, 263, 281, 264, 2652, 1535, 994, 1432, 568, 30775, 1293, 888, 763, 2910, 7419, 307, 1599, 12523, 519, 1297, 540, 2281, 602, 2270, 2338, 267, 543, 12523, 2338, 1369, 519, 1592, 540, 7440, 269, 2422, 519, 2910, 7419, 307, 1599, 547, 1205, 519, 1297, 540, 13366, 538, 513, 1297, 2361, 602, 568, 538, 513, 2039, 610, 5044, 540, 2338, 563, 1692, 798, 594, 1293, 513, 6241, 538, 30731, 888, 7476, 519, 7089, 540, 2051, 8435, 540, 513, 19336, 538, 30731, 454, 268, 2422, 519, 2450, 3890, 9577, 547, 5192, 519, 7089, 540, 2051, 8435, 540, 513, 19336, 538, 30731, 563, 268, 2422, 519, 3259, 3890, 9577, 547, 5192, 519, 7089, 540, 2051, 8435, 540, 513, 19336, 538, 30731, 563, 1692, 798, 594, 1293, 3197, 538, 513, 5569, 538, 30731, 888, 299, 815, 1193, 26319, 263, 1193, 3738, 7024, 519, 1297, 540, 3197, 538, 1193, 4586, 1692, 798, 594, 1293, 2189, 2418, 538, 30731, 888, 15575, 540, 23433, 15689, 4855, 519, 2189, 2609, 538, 513, 6152, 543, 1287, 946, 7213, 6783, 547, 1293, 519, 1297, 540, 2053, 1142, 2189, 3693, 5526, 269, 8073, 513, 6152, 540, 4351, 9981, 689, 476, 272, 998, 476, 276, 269, 513, 815, 28219, 328, 8443, 272, 476, 276, 3910, 1220, 267, 272, 5148, 4855, 519, 2189, 2609, 538, 519, 6152, 563, 1692, 798, 596, 1711, 513, 4831, 4756, 888, 17730, 513, 22388, 24438, 454, 268, 5153, 476, 272, 281, 8073, 2659, 7726, 269, 5410, 707, 2243, 1826, 799, 568, 2877, 547, 723, 519, 4831, 1759, 1055, 267, 8726, 602, 568, 563, 268, 5153, 476, 273, 281, 8073, 2659, 22388, 24438, 269, 5410, 513, 2048, 306, 17532, 11426, 24438, 20371, 268, 5153, 476, 274, 281, 5410, 20603, 547, 5590, 2659, 22388, 563, 268, 5153, 476, 275, 281, 4530, 563, 268, 5153, 476, 276, 281, 5623, 630, 28436, 994, 1692, 798, 594, 1293, 519, 1297, 540, 3197, 538, 513, 5569, 538, 4223, 18350, 888, 1432, 568, 674, 1293, 538, 4223, 18350, 888, 293, 28029, 568, 513, 20927, 538, 519, 27952, 4159, 585, 1082, 1151, 951, 269, 1280, 606, 1383, 267, 1294, 19873, 28088, 269, 634, 674, 28029, 5526, 538, 519, 3977, 2497, 607, 3977, 269, 30775, 15575, 2073, 7175, 596, 547, 1569, 519, 6268, 1293, 1982, 3901, 1227, 269, 1280, 811, 1344, 267, 1294, 19243, 23113, 563, 1432, 1281, 4032, 320, 20465, 1599, 798, 888, 763, 2910, 7419, 14011, 1599, 12523, 2281, 5627, 1022, 1826, 540, 1344, 267, 1519, 5470, 2418, 543, 8900, 1257, 12462, 26158, 1280, 1383, 267, 952, 519, 2039, 3568, 513, 4542, 602, 7024, 606, 8900, 5569, 267, 519, 2910, 7419, 14011, 1599, 12523, 602, 1871, 269, 634, 2910, 7419, 14011, 1599, 1281, 711, 1293, 8900, 2281, 563, 1692, 798, 594, 1293, 9343, 543, 9587, 538, 30731, 888, 2252, 585, 1383, 707, 5119, 568, 589, 267, 596, 666, 946, 2433, 2450, 10490, 267, 272, 264, 585, 1297, 540, 9343, 269, 2450, 10490, 267, 273, 264, 585, 1297, 540, 9587, 563, 1692, 798, 596, 1293, 9343, 543, 9587, 888, 9617, 4945, 519, 6241, 20927, 269, 634, 4567, 3046, 267, 538, 519, 2539, 28878, 7944, 540, 707, 9185, 6885, 267, 786, 2995, 596, 519, 4737, 1293, 269, 1684, 519, 1482, 3364, 547, 1293, 9587, 267, 855, 713, 942, 4945, 519, 4737, 2824, 528, 693, 519, 2451, 1439, 540, 519, 4737, 269, 1403, 596, 2824, 606, 3003, 4737, 610, 6241, 267, 9185, 12523, 1175, 519, 2281, 602, 2270, 1239, 563, 1692, 798, 594, 1293, 519, 1297, 540, 3197, 538, 513, 5569, 888, 5194, 1259, 547, 1293, 782, 519, 3197, 538, 513, 5569, 568, 547, 946, 519, 21642, 269, 1347, 338, 14061, 1293, 3890, 1505, 602, 7024, 519, 2698, 1297, 540, 3197, 538, 519, 5569, 267, 855, 1519, 16543, 335, 2167, 563, 1692, 798, 596, 1293, 519, 1297, 540, 20825, 538, 513, 5569, 888, 5575, 267, 649, 8237, 519, 5569, 676, 5624, 538, 513, 269, 3973, 267, 1491, 513, 4756, 1293, 815, 476, 271, 543, 538, 1169, 3020, 2783, 649, 27261, 519, 1293, 676, 476, 272, 269, 3767, 2196, 513, 8520, 693, 476, 271, 547, 3259, 540, 5569, 543, 2638, 952, 938, 5569, 568, 3160, 547, 519, 2262, 563, 1692, 798, 596, 1293, 519, 1297, 540, 2609, 538, 606, 5044, 888, 2414, 1293, 519, 20825, 540, 1142, 3693, 538, 606, 5044, 281, 2422, 519, 585, 2507, 1993, 8520, 547, 621, 4733, 936, 519, 5044, 269, 2201, 1142, 21767, 267, 27261, 519, 1293, 585, 519, 1808, 3693, 952, 621, 6818, 538, 519, 1843, 610, 1305, 519, 1293, 540, 519, 3693, 547, 476, 272, 952, 621, 3085, 1406, 563, 1432, 568, 886, 1599, 30731, 888, 20373, 269, 1383, 269, 962, 815, 886, 263, 2473, 3738, 21410, 3604, 1063, 11105, 2609, 540, 2473, 2059, 519, 1101, 5044, 10155, 4171, 2450, 1281, 711, 3160, 476, 272, 281, 1403, 2473, 568, 513, 6152, 540, 3259, 544, 2073, 1287, 962, 815, 886, 11583, 264, 7024, 513, 6152, 540, 3259, 544, 268, 272, 1547, 634, 2609, 540, 962, 616, 519, 3604, 1063, 11105, 2609, 540, 2473, 4586, 1432, 568, 513, 4831, 4756, 888, 288, 4831, 4756, 538, 10084, 568, 513, 2027, 1826, 540, 4756, 799, 568, 1031, 538, 519, 8520, 547, 1293, 519, 10221, 1431, 610, 547, 917, 827, 538, 799, 17279, 649, 616, 538, 269, 769, 2241, 1913, 267, 513, 4831, 4756, 568, 513, 4756, 602, 8952, 3950, 540, 519, 1297, 540, 2053, 513, 1808, 4062, 540, 3009, 568, 13401, 563, 1432, 1281, 703, 1293, 798, 888, 10190, 1293, 568, 513, 3959, 540, 715, 15551, 17014, 26161, 602, 7024, 519, 1297, 540, 3615, 8659, 676, 519, 5044, 269, 1924, 519, 1899, 538, 2243, 3081, 1205, 519, 1297, 540, 3688, 538, 519, 1699, 3236, 540, 715, 15551, 17014, 26161, 543, 4558, 602, 538, 513, 4756, 3957, 968, 12248, 892, 540, 1826, 703, 269, 703, 1293, 815, 1496, 1345, 1293, 30092, 1432, 568, 674, 2381, 14142, 1031, 585, 888, 325, 2381, 14142, 1599, 568, 835, 540, 519, 1034, 1271, 1599, 602, 568, 1031, 538, 4223, 18350, 547, 1265, 519, 5934, 1871, 540, 519, 1599, 543, 621, 7024, 513, 22185, 1871, 1141, 519, 3177, 11378, 666, 581, 538, 519, 1106, 540, 5119, 610, 6152, 563, 1432, 568, 8668, 2207, 538, 4223, 18350, 888, 7072, 269, 634, 27952, 4159, 568, 513, 3349, 540, 7194, 10503, 519, 9273, 538, 1142, 21767, 540, 513, 24626, 269, 634, 7194, 4096, 593, 1312, 519, 24626, 543, 519, 24626, 5690, 269, 634, 3349, 5526, 538, 519, 30731, 10378, 16710, 32001, 950, 596, 2196, 1151, 951, 609, 3617, 3681, 563, 1432, 568, 519, 3017, 1063, 1293, 20465, 543, 4032, 320, 20465, 888, 763, 2910, 7419, 307, 1599, 568, 3622, 1031, 547, 1293, 513, 2039, 540, 2281, 5627, 2338, 610, 7389, 27195, 1025, 3471, 269, 2910, 7419, 14011, 267, 593, 519, 824, 1688, 786, 1293, 3388, 2507, 2338, 267, 7389, 267, 1257, 610, 513, 2039, 5627, 513, 7848, 540, 891, 3688, 267, 855, 1281, 711, 1293, 10145 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 269, 13336, 666, 581, 513, 15293, 269, 13336, 666, 581, 513, 851, 540, 596, 602, 8060, 4555, 543, 4606, 269, 2659, 6891, 666, 581, 899, 707, 9997, 269, 13336, 666, 581, 707, 15131, 610, 8990, 269, 898, 666, 581, 707, 7099, 269, 1703, 616, 1082, 267, 1082, 8847, 563, 763, 1259, 596, 1174, 519, 2262, 834, 338, 2869, 527, 257, 1223, 4096, 593, 707, 4282, 269, 898, 849, 814, 513, 2603, 547, 798, 609, 707, 2528, 610, 707, 4984, 269, 634, 2262, 834, 338, 2869, 527, 257, 814, 1114, 10096, 585, 1004, 543, 1223, 723, 513, 2027, 2495, 585, 596, 563, 298, 573, 306, 2869, 527, 4280, 1647, 1153, 1053, 1018, 519, 2262, 834, 338, 2869, 527, 257, 1797, 547, 873, 269, 1306, 649, 4283, 519, 9702, 4005, 267, 649, 4941, 547, 2671, 930, 540, 519, 7096, 6835, 649, 941, 2366, 827, 1018, 621, 1797, 547, 581, 1480, 269, 3371, 616, 930, 540, 741, 6114, 912, 28494, 2869, 527, 281, 3054, 543, 707, 9909, 269, 2659, 4295, 1582, 4799, 21202, 1747, 3330, 3054, 1141, 596, 1810, 1405, 723, 547, 581, 4896, 610, 723, 606, 3239, 4840, 28494, 2869, 527, 568, 1373, 10704, 543, 2348, 513, 4276, 609, 3388, 1472, 596, 4799, 19285, 1589, 6891, 1797, 2348, 6015, 538, 3054, 1256, 952, 824, 1004, 1810, 1405, 723, 6015, 538, 596, 269, 594, 849, 1589, 621, 1797, 547, 723, 11348, 538, 3054, 4799, 28494, 2869, 527, 568, 711, 1373, 538, 513, 9602, 1747, 609, 1100, 960, 543, 1100, 2566, 4534, 621, 568, 1373, 538, 519, 22984, 540, 891, 1919, 543, 1869, 1373, 2111, 547, 1745, 4708, 4799, 19285, 1589, 6891, 1797, 513, 1268, 781, 1166, 1515, 281, 1018, 3947, 1142, 1268, 741, 7209, 543, 2306, 3025, 1114, 689, 1142, 824, 4799, 257, 2414, 581, 1863, 610, 1577, 979, 540, 1945, 4799, 257, 2414, 711, 2285, 909, 543, 547, 1265, 519, 1769, 538, 4376, 596, 798, 269, 1677, 3494, 538, 1272, 543, 3054, 543, 4376, 596, 3801, 4799, 257, 2304, 796, 5408, 762, 3196, 602, 3123, 1648, 543, 8788, 538, 835, 1373, 4799, 28494, 2869, 527, 568, 1373, 3020, 543, 13991, 547, 707, 19647, 267, 1256, 952, 596, 2811, 19849, 21724, 4799, 19285, 1589, 6891, 1797, 7772, 543, 10761, 4799, 10454, 9759, 540, 1272, 3294, 267, 707, 2898, 6418, 1373, 269, 10705, 596, 786, 581, 18056, 540, 2576, 543, 1589, 540, 741, 3068, 269, 4256, 3068, 610, 1560, 568, 8806, 707, 9997, 781, 10151, 2777, 269, 594, 849, 3494, 602, 513, 9997, 786, 2661, 593, 267, 1256, 950, 707, 1560, 1163, 2231, 4799, 257, 22091, 7675, 3054, 256, 1548, 2306, 596, 1018, 596, 616, 269, 1411, 616, 6891, 30882, 19285, 1589, 6891, 1797, 2141, 18468, 538, 1018, 568, 1271, 547, 596, 267, 1100, 2339, 875, 3983, 519, 12918, 616, 4799, 257, 2691, 2576, 11099, 538, 1945, 789, 1397, 6891, 269, 898, 1522, 711, 1611, 3478, 856, 707, 533, 558, 1790, 1682, 543, 3597, 532, 585, 707, 5172, 5026, 2319, 267, 855, 621, 1797, 6029, 8296, 538, 707, 1378, 3860, 1259, 30882, 28494, 2869, 527, 4534, 14017, 547, 519, 2295, 4799, 257, 29670, 707, 1272, 519, 1259, 596, 917, 568, 1318, 543, 18245, 519, 3047, 543, 782, 922, 7068, 4799, 28494, 2869, 527, 281, 1373, 3054, 4799, 10454, 6418, 1412, 299, 9281, 292, 262, 540, 707, 1560, 269, 634, 4555, 267, 4606, 543, 519, 5079, 596, 1118, 4799, 28494, 2869, 3770, 4534, 519, 967, 525, 4933, 762, 4743, 540, 4276, 609, 3388, 543, 4986, 269, 6936, 1025, 1170, 267, 20057, 1194, 2055, 543, 519, 3460, 547, 1265, 519, 2626, 269, 3267, 674, 2391, 267, 543, 2943, 513, 2620, 4276, 609, 519, 2666, 269, 25925, 602, 568, 2938, 609, 1100, 4064, 543, 5433, 609, 1100, 3946, 269, 3267, 634, 19957, 2243, 543, 519, 3768, 18249, 2626, 281, 519, 17714, 4799, 28494, 2869, 527, 568, 513, 7623, 7848, 540, 782, 4664, 269, 898, 568, 519, 4508, 1881, 2648, 543, 23998, 23953, 883, 519, 12826, 540, 1272, 267, 2059, 609, 8296, 543, 1416, 16531, 269, 898, 568, 6404, 609, 519, 22635, 540, 16236, 267, 543, 6039, 883, 519, 4837, 540, 6612, 269, 13336, 568, 1272, 543, 1272, 568, 5289, 1701, 0, 288, 7811, 7650, 540, 8210, 4777, 30322, 534, 779, 24616, 281, 634, 3390, 540, 1719, 19899, 3175, 454, 906, 538, 782, 519, 10456, 543, 4886, 9549, 630, 288, 298, 9549, 264, 5712, 269, 1280, 3236, 267, 519, 13735, 5385, 2557, 543, 2407, 2883, 22371, 616, 1079, 10781, 602, 786, 2417, 15052, 538, 519, 1007, 1062, 269, 1284, 786, 849, 1118, 873, 1599, 538, 513, 8902, 1259, 269, 4634, 1498, 649, 723, 15091, 713, 1586, 543, 1586, 267, 930, 20982, 3765, 326, 643, 902, 827, 519, 3390, 6414, 563, 12024, 3772, 267, 519, 6898, 1500, 676, 8210, 4777, 30322, 534, 593, 1719, 19899, 3175, 1894, 941, 849, 25302, 676, 513, 5786, 626, 1935, 269, 589, 2603, 540, 20060, 1619, 568, 21883, 267, 2469, 607, 2484, 607, 547, 2161, 602, 519, 7022, 779, 2804, 6898, 723, 1100, 1747, 538, 2804, 3069, 543, 789, 616, 1018, 789, 1289, 1875, 27360, 564, 269, 2913, 803, 1101, 12172, 713, 3390, 281, 6164, 532, 891, 6898, 607, 4485, 799, 2047, 2491, 519, 3232, 267, 1699, 13075, 3609, 609, 513, 5786, 626, 1935, 568, 1463, 2804, 22293, 267, 1256, 952, 621, 568, 711, 21354, 5497, 269, 8210, 4777, 30322, 534, 779, 6898, 616, 1759, 593, 1079, 2596, 5013, 563, 5575, 267, 7835, 602, 3576, 1747, 538, 519, 2518, 4346, 609, 519, 476, 1220, 279, 6433, 723, 9788, 11953, 519, 28919, 540, 2757, 3069, 269, 5822, 267, 10637, 568, 513, 12343, 602, 1281, 711, 10836, 593, 519, 3747, 2427, 4805, 538, 3384, 2477, 899, 11894, 267, 855, 10637, 267, 799, 568, 513, 7293, 1966, 267, 568, 513, 1942, 2861, 12343, 563, 296, 337, 1324, 17384, 630, 5908, 278, 268, 3707, 278, 264, 568, 519, 4651, 540, 519, 2596, 1935, 602, 6941, 519, 1719, 10637, 6935, 540, 519, 2757, 3069, 594, 5018, 1657, 269, 17384, 6941, 519, 3830, 1063, 519, 22194, 1719, 2557, 267, 610, 1483, 1719, 267, 543, 10637, 609, 713, 4542, 269, 1775, 512, 284, 678, 512, 266, 661, 512, 512, 266, 272, 454, 2080, 267, 1775, 512, 543, 678, 512, 3277, 547, 22194, 543, 1483, 1719, 3928, 267, 6606, 267, 585, 513, 1978, 512, 1974, 269, 18264, 512, 266, 272, 1797, 519, 4397, 10637, 538, 519, 1985, 1974, 563, 2026, 2938, 538, 519, 3830, 267, 519, 2040, 540, 519, 1483, 1719, 2557, 543, 519, 4397, 10637, 538, 606, 4346, 7472, 519, 22194, 1719, 2557, 269, 22353, 267, 606, 2333, 538, 519, 22194, 1719, 2557, 896, 519, 13429, 602, 519, 1483, 1719, 2557, 568, 3586, 538, 519, 1279, 2196, 1797, 606, 2333, 538, 519, 20772, 540, 10637, 538, 519, 4346, 269, 769, 2110, 267, 972, 568, 513, 2312, 2318, 9756, 1063, 1719, 3928, 543, 10637, 538, 519, 1279, 2196, 267, 2687, 547, 519, 17384, 3830, 563, 3383, 267, 1577, 803, 2307, 519, 1739, 2243, 281, 6736, 713, 1034, 2596, 3830, 540, 519, 12550, 4346, 2443, 1775, 4318, 1421, 950, 519, 1719, 2557, 543, 10637, 1847, 538, 519, 1482, 4287, 2443, 1946, 814, 519, 2596, 13075, 3609, 540, 3844, 8492, 1044, 3257, 519, 3169, 6587, 585, 1082, 1296, 286, 769, 824, 1913, 267, 1946, 798, 3844, 8492, 1246, 519, 2619, 540, 19482, 1719, 3928, 547, 2539, 10637, 286, 634, 2601, 543, 519, 2626, 585, 713, 568, 1360, 2312, 281, 3245, 519, 476, 3192, 271, 338, 593, 1189, 267, 519, 772, 2529, 269, 814, 1044, 22745, 519, 535, 9332, 13362, 267, 519, 2596, 15395, 9304, 267, 547, 519, 2344, 269, 9747, 267, 2094, 1287, 267, 10637, 814, 1044, 4330, 607, 513, 13075, 7613, 4805, 267, 543, 3844, 8492, 723, 13175, 9117, 3544, 519, 2596, 17384, 3830, 269, 21452, 267, 1395, 564, 30658, 543, 3223, 2106, 14198, 4485, 267, 519, 1079, 10546, 19946, 540, 13416, 9297, 267, 1312, 1118, 519, 17384, 1226, 2787, 513, 4909, 5057, 540, 741, 6436, 543, 782, 8044, 602, 621, 568, 18633, 563, 2690, 3236, 267, 1577, 721, 8263, 602, 519, 3844, 4871, 8952, 519, 22194, 1719, 2557, 6378, 693, 513, 1978, 1377, 269, 4340, 547, 3223, 2106, 14198, 543, 1395, 564, 30658, 5784, 267, 538, 713, 2013, 267, 1739, 513, 1507, 6175, 610, 2333, 538, 10637, 267, 513, 1219, 3175, 776, 18700, 610, 10637, 776, 18700, 19674, 936, 942, 269, 4475, 267, 519, 3844, 4871, 1590, 8362, 4383, 519, 1719, 2557, 538, 1931, 547, 2057, 891, 17559, 7653, 269, 901, 2259, 568, 21739, 1759, 593, 519, 13177, 6240, 538, 2413, 13075, 3609, 269, 634, 13177, 6240, 3081, 602, 519, 3844, 4871, 1058, 6318, 538, 268, 512, 1573, 3928, 676, 811, 982, 476, 272, 2600, 952, 10637, 14380, 676, 476, 272, 2600, 269, 22353, 267, 950, 10637, 6238, 547, 4473, 267, 519, 3844, 4871, 1058, 2333, 1719, 3928, 6385, 543, 20406, 267, 543, 952, 621, 6238, 9991, 267, 621, 1058, 2569, 621, 1586, 563, 1607, 2596, 855, 25768, 1935, 729, 2907, 535, 1023, 1881, 609, 519, 476, 1220, 279, 6433, 563, 4415, 519, 6433, 267, 3844, 8492, 540, 2919, 2477, 6385, 22485, 1719, 3928, 543, 4642, 1719, 729, 2322, 883, 1198, 269, 634, 3483, 1934, 568, 547, 8488, 513, 21748, 269, 3767, 267, 2687, 547, 17384, 267, 952, 519, 22194, 1719, 2557, 8813, 543, 3788, 7123, 972, 267, 519, 4397, 10637, 786, 581, 1970, 543, 519, 1483, 1719, 2557, 786, 979, 909, 269, 11569, 267, 2942, 1719, 814, 1279, 1044, 538, 3384, 2477, 269, 769, 713, 2013, 267, 2094, 519, 1164, 1483, 1719, 2557, 786, 2417, 6175, 519, 2698, 3747, 267, 21748, 786, 581, 17149, 269, 901, 568, 513, 30380, 4783, 543, 1797, 519, 5821, 540, 2757, 3069, 269, 1306, 513, 2339, 540, 1249, 267, 8210, 4777, 30322, 534, 5795, 1367, 1806, 540, 2477, 538, 1010, 4633, 538, 519, 772, 14389, 269, 543, 3379, 519, 22194, 1719, 19899, 3175, 3928, 538, 891, 2477, 547, 2243, 519, 1483, 1719, 2557, 269, 2311, 713, 1360, 1448, 267, 649, 616, 6998, 1946, 2919, 11615, 267, 2523, 538, 519, 772, 2529, 1421, 3112, 9101, 519, 21748, 5103, 519, 11050, 1574, 532, 630, 304, 292, 1040, 1358, 3112, 9101, 1317, 789, 616, 538, 513, 30380, 5858, 1141, 13075, 3435, 616, 23380, 269, 1717, 267, 519, 3169, 6587, 10039, 547, 3384, 2477, 563, 4913, 267, 972, 723, 849, 1044, 2919, 6422, 3631, 267, 1572, 32286, 6363, 8718, 1014, 267, 799, 2161, 1719, 2557, 554, 10105, 786, 5612, 1291, 547, 10637, 610, 3833, 6587, 4539, 269, 1280, 3236, 267, 1851, 1007, 22831, 2090, 267, 5617, 599, 326, 528, 617, 1299, 9603, 12027, 630, 1220, 280, 264, 543, 10011, 601, 20692, 26785, 1299, 5080, 4815, 630, 1001, 271, 264, 10567, 1007, 268, 11390, 2106, 14198, 6422, 2625, 8494, 2065, 11466, 3631, 543, 1336, 602, 10637, 786, 4473, 5612, 607, 513, 1267, 540, 606, 2333, 538, 1719, 3928, 269, 13536, 267, 5576, 18283, 8566, 549, 515, 1299, 772, 11171, 630, 1001, 273, 264, 689, 12052, 2160, 2919, 513, 2203, 1759, 593, 18746, 14461, 13848, 543, 13177, 15178, 1719, 2557, 4341, 267, 6029, 602, 10637, 1223, 581, 6659, 676, 9870, 519, 1719, 2557, 952, 519, 22194, 1719, 2557, 568, 4642, 269, 634, 2856, 602, 519, 1719, 2557, 19899, 3175, 2078, 568, 7123, 814, 849, 1044, 5051, 6829, 1851, 3844, 4871, 619, 538, 2487, 1296, 563, 2690, 3236, 267, 8549, 15944, 7813, 540, 3687, 928, 24550, 5518, 23902, 27011, 918, 665, 615, 331, 18235, 630, 1001, 271, 264, 1767, 1282, 606, 1271, 4633, 602, 513, 1970, 16074, 1719, 2557, 1131, 1291, 547, 13455, 543, 1970, 7400, 1219, 3175, 269, 11088, 267, 8549, 15944, 540, 853, 269, 8402, 5518, 6276, 18409, 731, 630, 1001, 276, 264, 7150, 602, 513, 6378, 1719, 2557, 3609, 568, 513, 10853, 7872, 543, 602, 267, 952, 519, 1970, 1719, 2557, 268, 869, 10637, 3510, 26251, 267, 10054, 3823, 519, 8647, 540, 519, 13075, 3609, 538, 519, 772, 2529, 269, 949, 991, 547, 581, 15428, 563, 3080, 540, 519, 1034, 4359, 543, 3102, 540, 519, 32286, 6363, 8718, 1014, 2090, 729, 5342, 676, 3627, 3213, 577, 8735, 630, 1001, 277, 264, 689, 18628, 2160, 269, 769, 713, 1353, 267, 3213, 577, 8735, 1101, 3323, 856, 689, 519, 3044, 32286, 268, 11390, 2106, 14198, 12550, 11296, 2203, 543, 1336, 602, 519, 1034, 2596, 2203, 538, 2413, 12550, 31754, 2982, 513, 2318, 2078, 1063, 22194, 1719, 2557, 543, 10637, 563, 296, 917, 602, 782, 540, 713, 568, 2484, 3564, 519, 23451, 540, 513, 6241, 269, 1809, 594, 1185, 547, 269 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 2361, 269, 634, 1570, 1058, 581, 2143, 543, 2219, 4538, 269, 0, 2026, 596, 2263, 707, 1007, 10450, 267, 649, 1616, 547, 948, 596, 6330, 835, 2629, 2460, 540, 1480, 5872, 281, 17539, 780, 13014, 1575, 568, 513, 8748, 1907, 602, 666, 3986, 707, 2067, 2934, 543, 5818, 6015, 269, 1717, 267, 621, 781, 1898, 547, 1451, 875, 547, 946, 621, 20617, 547, 2057, 11566, 1866, 630, 663, 3054, 14386, 609, 1932, 1454, 1587, 269, 5213, 1405, 5855, 282, 649, 4312, 3893, 596, 4988, 2439, 1103, 713, 3102, 3391, 267, 649, 3513, 3802, 596, 998, 519, 3268, 547, 4487, 519, 1148, 540, 11029, 2943, 2500, 17539, 3498, 780, 1262, 3721, 476, 272, 281, 13760, 5274, 11120, 658, 17972, 4373, 6524, 11362, 883, 17539, 267, 1577, 781, 1205, 5432, 609, 519, 9238, 540, 1480, 11132, 14169, 269, 589, 6093, 1480, 3068, 5161, 540, 1384, 265, 28438, 281, 5565, 17031, 8219, 3743, 585, 7487, 267, 4092, 593, 2901, 2427, 540, 519, 9224, 563, 265, 16685, 321, 4900, 281, 670, 8543, 31393, 1657, 519, 4064, 602, 5351, 538, 4082, 543, 4027, 689, 17570, 563, 265, 715, 846, 281, 634, 3844, 4183, 1031, 585, 7244, 543, 1159, 2454, 563, 265, 631, 1926, 281, 1323, 6679, 2630, 519, 9224, 1141, 3425, 3548, 267, 4235, 267, 543, 5968, 8231, 958, 563, 265, 16164, 281, 634, 9018, 4494, 8720, 519, 3003, 1560, 267, 1519, 519, 3068, 780, 4322, 2934, 960, 1927, 547, 6655, 4664, 267, 2769, 4555, 267, 543, 1711, 2189, 9163, 780, 1262, 3721, 476, 273, 281, 6258, 6168, 5269, 1575, 17943, 4373, 3086, 602, 596, 917, 519, 2482, 540, 519, 2244, 630, 528, 1058, 649, 2161, 267, 3068, 256, 1070, 1577, 781, 6338, 596, 547, 930, 4909, 17539, 2035, 1384, 265, 2878, 290, 657, 27027, 4995, 15733, 4294, 547, 519, 2960, 547, 7369, 610, 3986, 922, 5920, 563, 265, 2878, 28062, 566, 4995, 589, 5277, 267, 8645, 267, 610, 8869, 3490, 602, 13292, 707, 2960, 3159, 547, 1256, 856, 1950, 542, 563, 265, 2878, 3519, 576, 29993, 4995, 774, 1157, 518, 982, 5748, 267, 1031, 547, 3382, 1808, 20541, 687, 899, 6926, 332, 8460, 610, 4158, 10580, 896, 519, 4064, 563, 265, 2878, 303, 32535, 4995, 589, 6037, 1075, 550, 6219, 4259, 519, 5748, 543, 10703, 29993, 1247, 9013, 19542, 563, 265, 2878, 292, 13433, 17495, 578, 4995, 28522, 7757, 32340, 610, 1212, 4461, 4294, 547, 519, 22442, 1749, 547, 1039, 2681, 543, 3178, 563, 265, 2878, 300, 2444, 4673, 4995, 589, 18389, 18396, 730, 4542, 561, 1263, 28517, 543, 5394, 2287, 22442, 10449, 563, 265, 2878, 299, 760, 22496, 270, 10908, 1601, 20324, 531, 332, 4995, 7822, 995, 6878, 3289, 7992, 543, 7718, 908, 519, 17534, 780, 10673, 1405, 1745, 16397, 676, 891, 2474, 1107, 649, 3513, 2736, 873, 1524, 2417, 607, 649, 979, 2059, 2439, 1262, 3721, 476, 274, 281, 16259, 2659, 8131, 4373, 6524, 7311, 17539, 267, 2327, 707, 2960, 568, 2973, 543, 4712, 585, 2472, 1384, 265, 25169, 707, 3946, 8499, 609, 12853, 543, 1216, 547, 2061, 22151, 4551, 547, 707, 3068, 563, 265, 2422, 9543, 18274, 619, 14018, 547, 707, 2960, 1826, 630, 7538, 267, 3819, 267, 522, 1176, 267, 4999, 264, 547, 4894, 13897, 267, 3282, 267, 543, 23606, 563, 265, 4793, 707, 3068, 3819, 609, 513, 2571, 24621, 267, 9319, 10792, 27012, 20517, 563, 265, 15233, 513, 17426, 5848, 584, 6500, 547, 1832, 707, 2960, 19872, 543, 726, 2794, 780, 1607, 3341, 960, 5036, 519, 3942, 585, 513, 5347, 267, 6899, 17539, 1995, 780, 1262, 3721, 476, 275, 281, 3399, 609, 513, 7849, 12476, 4373, 11742, 547, 4019, 5748, 543, 10703, 29993, 256, 7427, 891, 4808, 1384, 265, 7994, 513, 5748, 12094, 12805, 707, 2067, 2960, 3159, 269, 4530, 5439, 593, 707, 10265, 1467, 547, 1265, 519, 3501, 6474, 563, 265, 4635, 513, 5748, 11453, 267, 5898, 1025, 2658, 267, 610, 11263, 267, 9900, 11100, 513, 1507, 2179, 5196, 707, 30432, 267, 1750, 4060, 267, 24060, 267, 543, 9224, 269, 4518, 689, 4099, 547, 8728, 267, 13692, 532, 519, 1587, 21286, 563, 265, 1230, 576, 531, 1022, 18476, 6926, 332, 8460, 267, 4158, 9634, 267, 610, 25017, 1210, 10703, 29993, 269, 29961, 513, 6263, 2179, 2047, 5196, 519, 1858, 543, 1273, 621, 538, 609, 707, 8258, 9416, 780, 8855, 267, 1447, 568, 811, 693, 713, 3942, 256, 1411, 1616, 547, 1413, 899, 596, 2811, 9849, 1100, 17539, 693, 782, 1107, 1175, 8476, 267, 32689, 2960, 780, 1262, 3721, 476, 276, 281, 28389, 2659, 28438, 4373, 4131, 781, 3142, 3007, 547, 1346, 4190, 890, 788, 619, 2439, 265, 8564, 4064, 17495, 3298, 602, 9148, 707, 3750, 2681, 912, 453, 266, 9791, 270, 13582, 4064, 281, 3026, 23018, 18707, 899, 13084, 27158, 267, 581, 15607, 267, 610, 1769, 6960, 454, 453, 266, 9466, 10774, 1794, 601, 4064, 281, 24953, 18565, 971, 607, 4154, 267, 19730, 267, 610, 7601, 454, 453, 266, 22630, 4882, 559, 591, 4064, 281, 9941, 533, 3855, 267, 20662, 11367, 267, 610, 15137, 344, 1178, 903, 454, 265, 15233, 513, 1769, 267, 782, 27492, 4064, 17495, 578, 3490, 593, 707, 19984, 267, 4358, 689, 561, 1662, 1899, 547, 1212, 848, 269, 2349, 754, 1134, 2336, 265, 5410, 4214, 609, 513, 5420, 268, 2023, 539, 14692, 593, 519, 1212, 848, 267, 16471, 16057, 543, 21286, 4724, 519, 536, 992, 5642, 563, 265, 7412, 707, 5580, 561, 1662, 1899, 609, 513, 15513, 610, 5277, 561, 10719, 267, 8220, 519, 15956, 1063, 561, 10449, 585, 513, 15774, 1413, 563, 265, 3213, 520, 707, 561, 10449, 609, 544, 2444, 4673, 267, 530, 24513, 1782, 519, 18389, 689, 3490, 547, 9133, 547, 5094, 543, 5581, 1367, 24827, 780, 16605, 538, 2247, 267, 519, 3804, 568, 11029, 1399, 269, 3680, 20358, 532, 707, 561, 1749, 609, 2789, 4778, 610, 5230, 3156, 780, 1262, 3721, 476, 277, 281, 16294, 2659, 645, 4900, 4373, 294, 3336, 539, 32071, 4900, 7406, 707, 3068, 543, 1039, 1915, 1384, 265, 5696, 2313, 707, 8202, 20733, 543, 856, 2072, 1210, 513, 838, 944, 773, 610, 2036, 547, 1033, 4120, 543, 3337, 563, 265, 19130, 23661, 2127, 610, 18534, 1901, 19514, 8202, 1210, 513, 536, 992, 15513, 610, 533, 558, 1228, 20083, 547, 707, 2067, 4552, 2681, 563, 265, 10395, 4430, 1587, 1055, 519, 838, 944, 773, 1354, 4881, 621, 998, 707, 8202, 1586, 547, 1305, 519, 3337, 780, 307, 877, 855, 3989, 8202, 786, 21592, 707, 2949, 1413, 1510, 5373, 3007, 2476, 689, 824, 2934, 780, 1262, 3721, 476, 278, 281, 5410, 513, 7377, 540, 7822, 547, 2659, 700, 2354, 4373, 19226, 880, 2178, 609, 9067, 1416, 543, 23732, 1384, 265, 7720, 626, 584, 1125, 707, 17534, 609, 513, 16138, 5109, 2545, 332, 610, 669, 777, 22496, 563, 265, 7994, 9067, 22496, 267, 17953, 267, 610, 2545, 332, 18707, 647, 1746, 707, 2123, 6492, 543, 2960, 896, 2023, 525, 912, 453, 266, 15346, 18565, 281, 25968, 2861, 18707, 454, 453, 266, 24953, 18565, 281, 21060, 30819, 3641, 2861, 18707, 454, 265, 15233, 9067, 2681, 5402, 267, 1739, 519, 2067, 7455, 540, 707, 5023, 269, 2349, 582, 4430, 1587, 609, 513, 5160, 585, 513, 811, 2067, 9096, 780, 288, 574, 585, 513, 2635, 23302, 1352, 523, 2864, 982, 12050, 267, 6505, 6898, 780, 1262, 763, 15937, 29110, 2583, 4373, 2791, 1705, 621, 256, 3767, 267, 1491, 513, 1900, 1394, 543, 2708, 707, 1688, 328, 1740, 1384, 265, 6744, 952, 707, 17539, 5654, 7059, 543, 18900, 269, 5269, 11941, 952, 2556, 563, 265, 5590, 3388, 538, 1747, 609, 513, 1769, 7452, 532, 540, 8869, 2066, 707, 3068, 267, 2519, 593, 570, 22271, 821, 2127, 630, 1150, 3650, 267, 9224, 267, 24060, 1916, 265, 6875, 2620, 24967, 543, 6001, 1107, 596, 2811, 1631, 23242, 513, 10875, 267, 896, 26061, 1413, 602, 22842, 707, 2189, 2934, 2439, 2026, 596, 3136, 3695, 713, 6909, 4541, 267, 3314, 281, 17539, 1058, 3986, 707, 2067, 5898, 267, 711, 936, 12741, 621, 269, 6657, 2306, 3501, 267, 865, 1810, 1405, 581, 12922, 547, 4603, 543, 13217, 707, 1983, 269, 8080, 547, 519, 1158, 540, 17539, 17117, 267, 3659, 256, 0, 2237, 513, 1279, 543, 1360, 2143, 5850, 593, 834, 22879, 3683, 4777, 532, 2659, 5269, 1575, 257, 538, 519, 2511, 540, 14392, 547, 606, 9813, 3957, 7585, 945, 1175, 15354, 593, 3047, 543, 814, 4642, 1702, 540, 519, 1158, 543, 1480, 4205, 269, 3417, 538, 3829, 3137, 585, 1142, 1900, 543, 782, 519, 2596, 1344, 827, 519, 2168, 543, 1480, 4205, 3238, 269, 1684, 711, 1289, 7585, 606, 9813, 269, 0, 2878, 16215, 476, 277, 281, 634, 9214, 323, 1043, 20607, 9737, 18972, 543, 12292, 4373, 5970, 596, 2479, 1185, 513, 4620, 602, 8604, 547, 1174, 596, 1732, 982, 4896, 3116, 286, 5620, 596, 2479, 5433, 899, 707, 4620, 1223, 2965, 1224, 707, 4664, 543, 4431, 9935, 286, 1403, 865, 267, 596, 1522, 581, 5196, 1945, 256, 3683, 519, 1296, 267, 3744, 723, 4362, 602, 972, 568, 513, 3532, 6125, 1063, 3425, 543, 2831, 269, 901, 6125, 4422, 3564, 1175, 31070, 1107, 621, 666, 4125, 2792, 267, 6568, 267, 543, 1256, 3929, 1489, 269, 2913, 781, 2263, 930, 4241, 1806, 540, 875, 3425, 543, 2831, 2170, 609, 1142, 824, 2439, 1262, 29248, 4331, 538, 12292, 4373, 3080, 5863, 2460, 540, 1480, 12845, 2711, 3347, 568, 519, 2702, 540, 2831, 547, 1397, 6568, 2509, 741, 1480, 13413, 269, 1411, 949, 723, 4862, 2984, 827, 5243, 945, 3100, 547, 917, 950, 741, 8227, 568, 8909, 610, 13347, 267, 543, 1287, 4313, 873, 269, 1809, 1705, 596, 917, 602, 824, 2831, 666, 849, 8858, 28450, 2623, 2496, 2690, 1383, 267, 19246, 616, 1634, 585, 741, 2178, 1514, 7554, 543, 28450, 2470, 269, 1879, 835, 4759, 540, 606, 17707, 23636, 568, 13676, 610, 1253, 5962, 267, 1866, 786, 5531, 1472, 543, 2119, 547, 948, 269, 1358, 949, 5905, 519, 10413, 1858, 9900, 609, 741, 959, 16218, 610, 1256, 4584, 909, 519, 13676, 17707, 952, 2556, 269, 18479, 17100, 666, 849, 5431, 1480, 9739, 543, 11132, 7215, 267, 799, 5267, 602, 789, 4865, 4359, 5042, 5759, 2147, 547, 1346, 540, 28516, 780, 5194, 3662, 4583, 585, 922, 26003, 545, 7907, 568, 519, 18107, 514, 269, 667, 20462, 1231, 2661, 538, 1950, 7239, 1141, 9316, 543, 16542, 616, 2629, 585, 6668, 269, 12207, 3494, 602, 891, 10995, 7068, 5968, 1210, 513, 10427, 1893, 1062, 5473, 30390, 267, 627, 30178, 267, 543, 1560, 5322, 269, 3807, 607, 3425, 946, 1913, 543, 17267, 547, 2769, 2933, 267, 23522, 7048, 593, 17974, 6786, 543, 2168, 3346, 547, 6655, 4664, 543, 15752, 780, 1262, 32086, 543, 9442, 4373, 24109, 753, 723, 1044, 2866, 2831, 585, 5215, 540, 1296, 267, 689, 10122, 4891, 899, 5243, 543, 23881, 4621, 547, 3028, 2831, 971, 607, 3391, 5243, 585, 519, 11617, 15176, 269, 9751, 1419, 3322, 9591, 2312, 3515, 540, 2792, 1759, 593, 12587, 543, 2318, 15699, 269, 1635, 9846, 14785, 5551, 5615, 267, 30157, 5000, 2831, 547, 10956, 1346, 3527, 538, 519, 2104, 780, 3719, 1018, 4523, 950, 649, 4019, 2413, 2029, 547, 3662, 2866, 286, 9373, 519, 1158, 540, 5841, 4987, 630, 9590, 264, 543, 3684, 1565, 256, 12824, 616, 1631, 3384, 2780, 6620, 602, 1450, 2831, 547, 834, 10919, 6510, 257, 609, 3425, 998, 5907, 3457, 269, 2290, 8037, 1383, 568, 519, 946, 540, 3642, 14617, 642, 3949, 12816, 676, 15063, 5243, 1282, 3406, 13485, 269, 1452, 1164, 24289, 23157, 3713, 11029, 2242, 538, 513, 2915, 781, 2295, 2557, 543, 7244, 3270, 267, 4543, 1688, 6840, 3313, 2436, 519, 2915, 814, 1336, 513, 6408, 610, 2115, 6351, 780, 5194, 10578, 3498, 540, 3642, 538, 3662, 2792, 568, 519, 1646, 540, 18951, 9162, 2966, 4481, 585, 10130, 269, 2368, 540, 891, 19269, 6451, 8596, 602, 5512, 873, 547, 2746, 547, 606, 3662, 781, 5322, 543, 13047, 3074, 267, 2870, 7317, 1404, 2833, 602, 12954, 1312, 2790, 543, 2168, 2534, 269, 1306, 3173, 3136, 17975, 891, 4066, 267, 649, 666, 2503, 1256, 811, 7415, 7760, 538, 1480, 12845, 2711, 5872, 780, 1262, 10387, 10899, 8081, 12292, 4373, 1103, 2487, 1296, 267, 972, 814, 1044, 3395, 6284, 540, 519, 9354, 2640, 3177, 676, 16508, 8081, 12292, 630, 2464, 2026, 1040, 11536, 2026, 8428, 689, 2757, 3028, 2831, 1317, 789, 1810, 1405, 2154, 7463, 2866, 547, 1685, 1808, 4247, 269, 5502, 267, 741, 3119, 1909, 568, 547, 1683, 4313, 543, 31070, 547, 2043, 7092, 689, 1585, 5626, 4713, 267, 1519, 4160, 267, 4965, 267, 543, 2022, 32034, 2566, 4524, 630, 303, 15056, 6393, 22137, 723, 3254, 602, 3274, 588, 549 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1879, 4152, 707, 1286, 6007, 609, 513, 1617, 9014, 267, 621, 568, 1271, 547, 581, 3222, 602, 513, 1286, 6007, 1058, 723, 1100, 7864, 982, 476, 1321, 269, 277, 24311, 563, 763, 1699, 10173, 519, 4358, 5179, 799, 6238, 519, 2599, 543, 7575, 519, 1286, 269, 2961, 9075, 616, 1950, 3457, 1500, 909, 540, 519, 1739, 281, 18738, 891, 9075, 972, 568, 606, 23386, 602, 666, 13451, 856, 540, 519, 1283, 540, 519, 6007, 998, 519, 11503, 952, 711, 6740, 20005, 269, 2961, 6007, 5056, 619, 8936, 547, 519, 23525, 540, 513, 1286, 6007, 543, 5279, 621, 998, 519, 5122, 1292, 338, 269, 9373, 707, 6174, 14261, 883, 519, 6007, 3406, 1413, 1575, 1657, 547, 1265, 519, 1318, 6007, 585, 707, 1286, 610, 8709, 269, 901, 568, 849, 5219, 547, 607, 4358, 4390, 563, 2252, 596, 616, 17596, 547, 7914, 3613, 691, 513, 1286, 6007, 596, 786, 991, 547, 2327, 602, 596, 1921, 519, 2318, 22791, 264, 12363, 1101, 607, 8220, 519, 2942, 11196, 264, 12363, 1101, 666, 2014, 519, 5547, 547, 581, 2110, 539, 269, 19200, 289, 630, 28723, 24627, 539, 23996, 264, 568, 849, 1634, 607, 10566, 300, 630, 26670, 2331, 18888, 4223, 264, 610, 31246, 289, 630, 26670, 2331, 24627, 539, 23996, 264, 543, 568, 606, 4720, 540, 519, 3044, 6632, 27876, 6007, 269, 1411, 949, 4898, 1946, 519, 2599, 9963, 1769, 1131, 2097, 593, 267, 713, 568, 1317, 519, 6007, 786, 581, 3246, 1970, 6453, 547, 519, 1286, 779, 2780, 1062, 799, 786, 9594, 519, 2638, 2599, 543, 2638, 6007, 8279, 547, 2097, 593, 563, 1607, 1184, 3217, 1747, 936, 513, 1906, 2395, 538, 513, 6417, 1604, 609, 513, 3636, 2837, 543, 11195, 267, 713, 2636, 519, 13594, 547, 12622, 547, 519, 21870, 269, 2274, 15370, 9075, 616, 1031, 547, 1379, 5122, 14233, 1369, 1286, 822, 753, 543, 5179, 327, 2345, 269, 1403, 519, 1376, 4390, 568, 2630, 476, 4037, 260, 713, 6920, 602, 519, 6007, 568, 4098, 547, 14016, 622, 543, 596, 949, 1995, 2042, 269, 18120, 29963, 20962, 919, 1106, 543, 4228, 518, 1570, 799, 568, 6404, 609, 519, 13594, 547, 3132, 2942, 10824, 563, 763, 6007, 849, 2488, 1379, 547, 519, 6472, 5122, 1062, 799, 8060, 707, 21686, 4580, 267, 607, 1134, 607, 726, 28289, 538, 5122, 3457, 269, 1452, 9075, 798, 711, 13451, 1813, 547, 513, 4017, 2958, 20199, 1319, 799, 25309, 1022, 838, 2683, 20962, 584, 545, 3679, 269, 634, 6453, 2542, 1058, 581, 476, 1321, 269, 277, 341, 952, 2539, 982, 713, 519, 6007, 786, 991, 556, 7302, 1173, 532, 610, 13868, 269, 23996, 23525, 616, 519, 2318, 22791, 264, 543, 2942, 11196, 264, 2022, 899, 3889, 2901, 593, 1283, 540, 513, 1286, 6007, 610, 593, 519, 5011, 267, 930, 9075, 723, 1312, 543, 616, 5219, 547, 607, 12242, 12363, 269, 3776, 6007, 5777, 616, 8537, 540, 17501, 543, 12871, 563, 2691, 4358, 513, 1286, 267, 707, 1101, 3368, 2389, 1248, 540, 519, 1883, 11642, 909, 519, 6174, 269, 1452, 616, 3114, 6547, 1369, 513, 6007, 269, 901, 6007, 568, 2966, 547, 1489, 6472, 14475, 609, 3606, 5122, 3688, 971, 607, 9682, 12445, 1949, 543, 2923, 5716, 269, 634, 2164, 540, 513, 6007, 1449, 786, 581, 10268, 607, 281, 589, 14875, 666, 581, 8719, 609, 589, 14875, 9075, 543, 19200, 289, 666, 581, 8719, 609, 2901, 19200, 289, 610, 589, 14875, 9075, 563, 763, 29370, 756, 619, 10110, 519, 23386, 20808, 621, 547, 2061, 21383, 720, 269, 634, 6007, 1449, 3800, 519, 4358, 2702, 540, 519, 6007, 689, 4411, 269, 589, 3044, 25690, 6007, 568, 2966, 547, 3132, 513, 1164, 1377, 1699, 547, 1376, 513, 1286, 269, 13583, 3293, 2059, 609, 31643, 630, 13092, 3937, 264, 9075, 267, 519, 715, 4338, 288, 2039, 3091, 7513, 1315, 7513, 2029, 799, 3091, 513, 3476, 1272, 267, 513, 5786, 538, 1216, 2530, 543, 606, 2799, 4187, 547, 2362, 5210, 15029, 896, 519, 13755, 6339, 563, 5472, 519, 2942, 10824, 1921, 1927, 543, 782, 519, 2318, 10824, 1921, 1927, 799, 2813, 513, 2582, 476, 273, 19581, 339, 6007, 1591, 269, 2961, 9075, 960, 676, 13936, 513, 3114, 1106, 540, 5122, 1648, 267, 1287, 16089, 621, 538, 513, 6417, 1259, 607, 513, 1463, 1699, 269, 589, 1286, 6007, 29789, 949, 581, 2877, 538, 930, 2665, 269, 1403, 513, 6007, 6453, 2542, 568, 2539, 1402, 883, 513, 2199, 2817, 14977, 637, 543, 4201, 665, 732, 1141, 519, 27637, 786, 4163, 856, 519, 2556, 11974, 563, 3682, 268, 5562, 1286, 6007, 4152, 786, 2285, 596, 519, 4708, 540, 2247, 543, 9206, 1022, 1761, 24966, 1354, 789, 1831, 513, 1966, 269, 9453, 621, 513, 1286, 3274, 4465, 1406, 1376, 269, 1403, 596, 3494, 707, 1286, 6007, 568, 4666, 1317, 707, 1286, 4465, 1406, 1376, 513, 1761, 4781, 568, 547, 946, 7914, 5012, 547, 1921, 519, 6366, 6007, 547, 1776, 1286, 779, 9901, 6007, 269, 1677, 1224, 811, 827, 2274, 15370, 645, 2660, 625, 5225, 4945, 593, 519, 1739, 5816, 2376, 281, 634, 2347, 3391, 547, 2274, 15370, 645, 2660, 625, 563, 21446, 8271, 267, 952, 596, 616, 16462, 707, 1286, 6007, 4152, 267, 1402, 1524, 547, 707, 2199, 2817, 14977, 637, 543, 4201, 665, 732, 7936, 585, 513, 17676, 6007, 1449, 269, 634, 1449, 3322, 10992, 519, 6453, 267, 1376, 4390, 543, 2783, 540, 519, 6007, 269, 1403, 596, 616, 18516, 267, 3274, 4283, 707, 6174, 14261, 883, 519, 6007, 3406, 1907, 693, 519, 1283, 540, 713, 2985, 269, 589, 1286, 6007, 568, 513, 22507, 762, 16669, 6007, 602, 568, 2877, 547, 1376, 513, 5179, 6174, 543, 1379, 519, 5122, 3334, 693, 519, 2046, 540, 513, 7735, 610, 519, 2490, 540, 513, 1883, 269, 901, 5057, 6460, 779, 519, 9817, 1648, 883, 606, 5122, 1699, 585, 519, 6007, 799, 538, 2389, 1248, 7060, 519, 5122, 1062, 563, 288, 1286, 6007, 6453, 1058, 581, 476, 1321, 269, 277, 24311, 610, 936, 952, 621, 568, 4628, 9901, 269, 2961, 9075, 723, 1079, 1292, 9979, 282, 513, 5279, 4783, 799, 4386, 950, 519, 6174, 568, 6117, 543, 568, 4061, 12123, 519, 6007, 543, 513, 11166, 4783, 799, 4386, 950, 519, 6007, 3096, 922, 6740, 1648, 269, 634, 1895, 2450, 4016, 547, 519, 7516, 540, 519, 6007, 1519, 519, 23525, 267, 543, 1141, 519, 23525, 616, 4092, 799, 782, 2115, 547, 581, 2808, 950, 11449, 513, 6007, 269, 1403, 13604, 596, 616, 15695, 602, 513, 10682, 568, 2877, 267, 938, 23390, 786, 18973, 596, 593, 4010, 519, 1318, 1826, 540, 6007, 585, 707, 1286, 269, 634, 7516, 540, 513, 6007, 616, 1271, 950, 7446, 835, 585, 707, 6174, 563, 4263, 2817, 267, 938, 23390, 666, 4163, 856, 513, 17676, 6007, 1449, 799, 1152, 3217, 513, 1906, 3764, 269, 4495, 519, 10824, 616, 4628, 2250, 539, 609, 713, 1570, 267, 789, 786, 991, 547, 581, 23174, 269, 1358, 8428, 689, 1286, 9075, 607, 16837, 9075, 616, 2966, 547, 1683, 1379, 693, 513, 11931, 1377, 936, 606, 6905, 1974, 6466, 513, 1286, 6007, 1131, 1683, 513, 2656, 16802, 540, 1648, 547, 519, 1286, 779, 2599, 563, 2252, 513, 1286, 6007, 568, 711, 556, 7302, 1173, 532, 713, 19752, 602, 972, 568, 513, 7344, 3390, 267, 1034, 2693, 713, 568, 609, 519, 3124, 1807, 799, 1058, 581, 10451, 1648, 547, 5279, 519, 6007, 269, 2961, 9075, 1445, 811, 593, 519, 1376, 5346, 540, 9817, 267, 6466, 2274, 15370, 645, 2660, 625, 616, 2966, 547, 1445, 811, 593, 15006, 269, 2659, 1286, 6007, 556, 7302, 1173, 525, 8850, 607, 519, 1286, 11479, 267, 3246, 519, 1286, 779, 3124, 1807, 543, 5397, 12966, 616, 538, 1434, 2783, 563, 309, 12317, 2873, 609, 1376, 270, 17380, 2029, 267, 1141, 519, 6174, 779, 2599, 7140, 1055, 950, 519, 1286, 568, 19335, 1869, 3351, 1047, 519, 6007, 547, 1379, 519, 21686, 4580, 543, 538, 21307, 2029, 269, 1717, 267, 952, 596, 1131, 899, 547, 917, 875, 547, 3514, 513, 1286, 6007, 267, 5225, 4945, 593, 519, 1739, 3095, 281, 1215, 547, 1689, 513, 1286, 6007, 269, 901, 2656, 543, 2241, 1072, 2638, 666, 13209, 1022, 5817, 6007, 24966, 269, 32279, 18542, 5999, 2311, 2817, 649, 6006, 2185, 2010, 540, 9075, 267, 891, 616, 281, 1452, 3889, 616, 585, 519, 3742, 2326, 547, 6529, 547, 563, 4322, 2281, 616, 1287, 17332, 883, 519, 6007, 2013, 269, 0, 268, 1358, 2308, 513, 2203, 799, 789, 1289, 513, 1591, 2203, 4586, 268, 1284, 949, 3277, 547, 971, 513, 1591, 607, 513, 3501, 3575, 518, 4586, 268, 2701, 729, 22415, 1117, 883, 513, 1591, 4586, 268, 589, 1591, 609, 12001, 6821, 3568, 519, 5277, 1063, 513, 6292, 540, 6252, 10824, 4586, 268, 634, 1646, 540, 2604, 1369, 513, 1591, 607, 1267, 540, 519, 18236, 540, 1216, 883, 621, 568, 1572, 2881, 326, 528, 4586, 268, 898, 781, 2352, 547, 1265, 513, 1591, 538, 513, 4845, 269, 476, 17958, 320, 1591, 20881, 510, 9463, 354, 418, 490, 374, 421, 504, 378, 7511, 454, 268, 3962, 22813, 5161, 540, 513, 1591, 1560, 267, 799, 3568, 519, 13540, 267, 543, 835, 610, 811, 4552, 3697, 24909, 4586, 268, 634, 3604, 1063, 519, 4835, 3114, 5888, 540, 513, 1591, 543, 602, 540, 922, 5007, 1604, 2099, 513, 4110, 540, 1931, 4586, 268, 6396, 547, 1711, 513, 2688, 5920, 585, 513, 1591, 454, 268, 595, 6817, 950, 519, 10856, 24072, 7575, 936, 513, 1591, 454, 268, 12769, 2720, 950, 513, 1591, 521, 1907, 339, 760, 1257, 568, 2877, 454, 268, 594, 1412, 1654, 3893, 476, 272, 476, 276, 811, 3764, 1547, 798, 596, 723, 513, 1591, 6049, 454, 268, 12769, 2720, 950, 519, 1543, 1369, 513, 1591, 568, 4945, 539, 454, 268, 2107, 723, 513, 1591, 6049, 676, 519, 942, 1352, 1412, 521, 476, 272, 476, 276, 454, 268, 634, 1486, 22914, 3544, 519, 13540, 540, 513, 1591, 454, 268, 2311, 2547, 596, 1412, 26270, 1205, 513, 1591, 547, 3054, 2073, 27445, 0, 30206, 12143, 1107, 13823, 1027, 15661, 3962, 1895, 4759, 1590, 2347, 713, 7084, 14350, 547, 4309, 5491, 256, 21909, 539, 6498, 540, 4074, 281, 6828, 16588, 476, 272, 1107, 7111, 2249, 630, 718, 2798, 14386, 6828, 16588, 476, 273, 1107, 7111, 2249, 630, 718, 2798, 14386, 6828, 16588, 476, 274, 1107, 13823, 1027, 2249, 630, 718, 2798, 14386, 6828, 16588, 476, 275, 1107, 5189, 2249, 630, 718, 2798, 14386, 5457, 519, 1445, 540, 519, 2022, 568, 547, 1265, 4930, 543, 824, 2959, 593, 519, 14498, 540, 835, 540, 707, 2516, 685, 6074, 2249, 269, 8838, 1308, 281, 596, 666, 1039, 1187, 22619, 23605, 593, 519, 16392, 946, 610, 824, 3096, 540, 707, 2249, 267, 855, 621, 1281, 711, 11886, 713, 7084, 256, 2659, 2022, 1590, 1331, 519, 1739, 1344, 538, 707, 1378, 1913, 267, 5225, 1294, 519, 968, 1692, 1677, 25737, 17796, 892, 2985, 585, 811, 1344, 269, 10691, 292, 281, 24762, 5299, 9706, 16556, 610, 12735, 3511, 1242, 689, 7270, 1510, 1697, 14327, 786, 4309, 513, 4642, 543, 616, 513, 1106, 540, 4081, 31081, 17965, 256, 6423, 519, 19875, 585, 519, 15059, 540, 2798, 269, 9105, 803, 952, 596, 723, 1022, 2055, 593, 519, 7084, 269, 476, 272, 2529, 2615, 881, 543, 1455, 2012, 585, 2249, 476, 273, 269, 8489, 538, 519, 1158, 568, 519, 2249, 8385, 689, 286, 476, 274, 16638, 2850, 519, 1739, 2798, 827, 519, 14498, 540, 707, 1875, 28921, 2249, 585, 1142, 1448, 596, 1058, 723, 606, 538, 17856, 11239, 630, 10461, 267, 1032, 2567, 476, 272, 13034, 629, 18945, 4170, 476, 273, 269, 11328, 13905, 609, 824, 2249, 630, 323, 3996, 621, 8415, 1776, 2249, 286, 1281, 621, 14526, 609, 1776, 2249, 24047, 476, 274, 269, 3849, 2194, 687, 547, 519, 1604, 476, 275, 269, 3963, 568, 519, 2249, 3811, 3544, 540, 922, 5065, 7226, 286, 585, 1142, 1448, 596, 1058, 723, 606, 538, 17856, 11239, 630, 10461, 267, 1032, 2567, 513, 264, 1215, 729, 519, 2249, 5189, 547, 7013, 4993, 286, 536, 264, 6496, 621, 723, 2139, 7226, 547, 3935, 1125, 286, 4208, 286, 630, 299, 1601, 540, 25165, 286, 9605, 24047, 524, 264, 6496, 621, 723, 7899, 540, 2200, 267, 1946, 286, 476, 276, 269, 9085, 11855, 267, 1210, 2407, 14327, 607, 3254, 593, 519, 1215, 1677, 8525, 269, 0, 3963, 798, 18253, 723, 2462, 4395, 3952, 888, 763, 9456, 3727, 779, 4395, 3952, 616, 1454, 3677, 982, 922, 12042, 3952, 269, 1452, 23762, 4395, 3952, 723, 1804, 32356, 865, 789, 666, 2007, 11895, 269, 661, 288, 16249, 670, 5723, 3951, 306, 281, 2560, 3047, 19095, 616, 741, 5172, 1426, 267, 855, 789, 849, 3548, 1082 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 763, 25753, 2280, 14594, 666, 581, 513, 2352, 1224, 1256, 585, 4359, 1053, 267, 1813, 547, 519, 6863, 1377, 543, 519, 14336, 5566, 2470, 540, 519, 1650, 1373, 5143, 538, 519, 3209, 269, 1403, 594, 941, 606, 3328, 476, 1015, 628, 1178, 1457, 21365, 713, 3209, 585, 4832, 2542, 267, 594, 8910, 960, 593, 3478, 998, 1100, 811, 982, 1079, 547, 1614, 11271, 829, 11706, 1554, 269, 901, 1131, 1491, 596, 5216, 11706, 2395, 269, 594, 8910, 849, 2015, 1210, 519, 552, 24687, 2593, 3184, 24096, 547, 2689, 19200, 9898, 2542, 519, 11271, 538, 8316, 25079, 779, 1913, 269, 5681, 332, 2456, 616, 1360, 5363, 538, 1818, 2386, 602, 596, 1174, 1018, 596, 723, 1224, 543, 10093, 1406, 14406, 1022, 1271, 4729, 7835, 269, 6153, 9939, 609, 707, 2542, 2336, 2080, 781, 606, 552, 24687, 3135, 602, 11828, 538, 930, 1469, 519, 6059, 3328, 2542, 942, 585, 519, 3209, 267, 607, 1134, 607, 585, 519, 2606, 1557, 267, 834, 763, 11426, 5600, 4799, 5629, 596, 979, 547, 519, 3135, 267, 20801, 1524, 547, 519, 5377, 540, 519, 2985, 547, 1265, 519, 3296, 1572, 834, 15307, 13846, 7335, 5384, 563, 1607, 1131, 581, 513, 3391, 267, 693, 2547, 267, 547, 2285, 596, 513, 2489, 2856, 269, 594, 723, 547, 3858, 602, 634, 25753, 2280, 14594, 568, 513, 1360, 4101, 1433, 269, 8316, 25079, 781, 4845, 2497, 568, 1279, 543, 1950, 267, 543, 594, 6415, 2386, 596, 786, 1265, 1082, 6863, 1913, 602, 616, 1007, 547, 596, 563, 10673, 1405, 2285, 909, 593, 713, 1433, 1100, 2339, 875, 1279, 621, 3217, 596, 547, 1224, 621, 256, 594, 917, 621, 781, 2182, 547, 1224, 267, 855, 530, 578, 256, 634, 1650, 568, 5863, 543, 519, 3197, 616, 865, 1483, 563, 763, 4640, 594, 946, 568, 547, 4137, 856, 875, 1082, 2395, 594, 723, 547, 1224, 1945, 267, 1293, 519, 11271, 543, 4137, 856, 513, 3232, 3804, 585, 1948, 540, 3817, 563, 9827, 267, 1317, 713, 1433, 568, 2352, 267, 581, 2386, 547, 723, 513, 8675, 2673, 676, 256, 1403, 596, 723, 707, 1378, 5299, 540, 519, 1433, 267, 1491, 4967, 1318, 593, 519, 3817, 865, 602, 950, 621, 781, 942, 585, 1362, 4901, 596, 3513, 723, 782, 707, 1344, 1318, 972, 256, 2433, 994, 9617, 865, 596, 1810, 1405, 1205, 27209, 267, 594, 666, 1405, 4952, 18138, 713, 3209, 538, 476, 273, 3108, 269, 594, 723, 1224, 621, 1082, 2053, 267, 543, 621, 2141, 3217, 803, 693, 2547, 476, 1321, 2542, 3108, 547, 2347, 621, 269, 769, 519, 4098, 621, 3576, 513, 1279, 942, 547, 1205, 998, 519, 5220, 270, 22106, 5879, 607, 6700, 1657, 282, 1631, 621, 3217, 803, 3476, 547, 2972, 8316, 25079, 781, 8748, 946, 540, 1893, 267, 3239, 267, 3092, 563, 2005, 786, 1491, 596, 607, 1279, 607, 621, 3217, 547, 1224, 519, 3209, 282, 621, 5673, 1018, 596, 1616, 547, 798, 609, 621, 543, 1205, 856, 540, 621, 269, 594, 9327, 1405, 5855, 827, 519, 942, 269, 17949, 519, 3209, 3267, 621, 781, 513, 1390, 1224, 269, 0, 6343, 7835, 6825, 519, 12355, 5912, 689, 4874, 1492, 1143, 547, 1395, 6139, 1143, 286, 6343, 7835, 6825, 519, 12355, 5912, 689, 4874, 1492, 1143, 547, 1395, 6139, 1143, 888, 296, 1589, 834, 1492, 257, 2680, 602, 5828, 519, 1261, 3691, 9749, 883, 1395, 6139, 1235, 729, 14062, 781, 7237, 609, 2696, 543, 2696, 781, 3190, 12310, 269, 14062, 543, 1010, 7385, 267, 8861, 267, 941, 1360, 2025, 267, 1312, 538, 741, 562, 6839, 625, 267, 855, 2696, 16219, 602, 789, 1131, 723, 513, 5067, 269, 2986, 1576, 267, 789, 941, 26617, 282, 1018, 4807, 538, 1200, 562, 6839, 625, 1223, 1205, 9176, 286, 8616, 602, 568, 4010, 1018, 5949, 281, 8861, 3893, 9176, 543, 5795, 4332, 547, 513, 5067, 267, 7247, 789, 3957, 21469, 267, 799, 1797, 834, 331, 5922, 2437, 1317, 1352, 1185, 561, 13774, 1117, 950, 5143, 1352, 1131, 723, 513, 4816, 563, 2691, 2696, 1500, 519, 9153, 602, 789, 1131, 723, 513, 5067, 945, 1131, 581, 519, 13653, 540, 513, 1390, 4182, 267, 14062, 10356, 782, 1010, 5256, 22063, 267, 543, 789, 782, 941, 4931, 322, 2213, 607, 513, 1129, 602, 789, 5156, 538, 543, 1131, 1631, 1246, 2696, 269, 3245, 602, 1554, 267, 14062, 543, 3025, 2404, 609, 1864, 10847, 539, 519, 835, 2696, 563, 2467, 568, 513, 2603, 540, 7521, 593, 713, 2243, 543, 930, 540, 621, 568, 1759, 593, 20093, 821, 748, 6436, 602, 723, 1044, 3181, 6064, 539, 676, 15456, 2963, 269, 2290, 1699, 2856, 568, 602, 267, 1247, 2250, 6436, 723, 4371, 602, 2094, 972, 616, 811, 982, 835, 2012, 585, 2696, 4874, 1492, 1143, 568, 8612, 267, 13354, 3504, 1686, 2982, 602, 621, 729, 3833, 1455, 585, 835, 3364, 267, 1747, 267, 11769, 547, 723, 811, 982, 835, 2012, 269, 901, 7028, 3504, 1395, 6139, 1143, 538, 3504, 12355, 4984, 563, 6635, 7666, 2406, 267, 519, 29611, 1996, 31561, 520, 787, 734, 320, 29611, 799, 1131, 840, 2850, 4874, 1492, 1143, 734, 322, 877, 827, 1256, 4505, 982, 14062, 267, 1310, 519, 24627, 269, 4340, 547, 1082, 2959, 267, 1519, 16555, 538, 519, 13669, 31053, 267, 2696, 3357, 547, 25424, 1310, 519, 24627, 543, 5795, 1864, 18599, 16572, 547, 1246, 547, 2327, 13919, 269, 1452, 4031, 1331, 606, 740, 3000, 819, 1996, 519, 10847, 540, 7329, 11169, 4534, 6236, 602, 25424, 12038, 547, 2696, 630, 32355, 538, 9909, 610, 998, 606, 10827, 776, 1070, 646, 1131, 6157, 1174, 519, 3017, 1063, 513, 18533, 543, 519, 1483, 3364, 563, 2791, 991, 547, 5581, 1395, 6139, 1143, 543, 4874, 1492, 1143, 538, 971, 513, 1259, 607, 547, 2057, 1476, 331, 908, 3661, 609, 10847, 269, 769, 824, 1913, 267, 3661, 538, 519, 6228, 540, 10971, 568, 711, 519, 1482, 607, 26902, 6235, 873, 269, 634, 3948, 834, 296, 993, 519, 7083, 16815, 2696, 3267, 543, 23524, 695, 5306, 723, 1100, 824, 10971, 1354, 803, 257, 10522, 630, 272, 264, 1896, 10971, 12327, 8780, 855, 630, 273, 264, 519, 7642, 941, 1152, 4847, 547, 20796, 17239, 7709, 835, 540, 873, 269, 898, 729, 1152, 7930, 602, 519, 824, 10971, 2968, 1629, 6838, 547, 13005, 655, 976, 630, 32173, 958, 281, 10143, 14326, 264, 543, 1256, 2663, 602, 13005, 655, 976, 5828, 883, 834, 12047, 976, 257, 630, 5271, 559, 10143, 7919, 1040, 20943, 928, 8283, 781, 1433, 593, 5259, 31898, 5566, 17959, 540, 4168, 18321, 814, 513, 1434, 4901, 540, 713, 3390, 563, 296, 3858, 602, 649, 991, 547, 2490, 547, 519, 6196, 11620, 267, 543, 538, 1880, 267, 519, 19999, 622, 1276, 630, 1492, 1101, 2947, 2835, 540, 519, 6196, 11620, 264, 538, 1931, 547, 948, 721, 2626, 713, 2243, 269, 1703, 649, 666, 1294, 519, 29685, 602, 1360, 5693, 5280, 547, 5581, 519, 6014, 5132, 543, 2697, 2933, 607, 1373, 3982, 3379, 547, 519, 824, 2516, 543, 11031, 602, 972, 941, 693, 519, 1482, 942, 269, 769, 1880, 267, 596, 1522, 899, 547, 2015, 875, 519, 6014, 5137, 7242, 11651, 2471, 25921, 538, 930, 1883, 2127, 689, 824, 5137, 14868, 540, 519, 1482, 942, 1974, 563, 10303, 519, 10916, 540, 519, 30920, 5949, 1279, 1310, 519, 2621, 267, 649, 666, 1413, 547, 602, 2854, 2594, 547, 1265, 519, 4890, 20825, 269, 31598, 519, 1034, 3196, 995, 2038, 3948, 540, 519, 6044, 602, 519, 12355, 1004, 941, 547, 10847, 1152, 519, 835, 2696, 3357, 607, 15584, 729, 593, 24398, 269, 31291, 328, 8391, 519, 14210, 16710, 906, 563, 296, 1589, 596, 1522, 1413, 693, 713, 607, 17194, 729, 1395, 6139, 2065, 689, 519, 4098, 855, 4478, 4529, 941, 711, 267, 865, 972, 729, 606, 5872, 543, 7654, 513, 32692, 1063, 609, 1261, 3691, 9749, 543, 824, 4529, 269, 1358, 1522, 723, 1044, 19035, 540, 873, 269, 898, 1223, 2491, 513, 2603, 540, 519, 29886, 32659, 269, 0, 288, 7913, 5741, 5004, 6651, 454, 1432, 7913, 5741, 5004, 9980, 5661, 543, 875, 621, 779, 4698, 5367, 454, 2026, 1870, 814, 5051, 6410, 2228, 267, 865, 723, 513, 3099, 540, 3157, 543, 5773, 602, 5892, 7018, 22356, 269, 2290, 1383, 540, 713, 7613, 568, 3059, 1788, 2359, 267, 799, 3096, 3301, 547, 5512, 519, 4058, 267, 9477, 267, 543, 5883, 540, 513, 1788, 689, 1376, 547, 9096, 269, 898, 13054, 782, 519, 10721, 3646, 3238, 538, 519, 5137, 543, 12032, 540, 2228, 10276, 12574, 3785, 9447, 3842, 13819, 610, 4950, 30499, 3457, 269, 634, 2259, 568, 4749, 1031, 676, 8041, 799, 7500, 25274, 607, 1134, 607, 4835, 1357, 2861, 2516, 563, 3951, 8441, 538, 2487, 1296, 1611, 602, 5883, 513, 1788, 1100, 3476, 3340, 2921, 4050, 547, 1957, 547, 2328, 909, 5359, 267, 1818, 7928, 11564, 547, 1788, 6753, 610, 6049, 7125, 547, 1788, 5171, 547, 2638, 593, 513, 1788, 779, 4567, 267, 9477, 15737, 689, 1585, 2959, 267, 610, 5373, 543, 2699, 3863, 532, 2095, 12125, 593, 513, 3043, 4604, 269, 769, 1082, 2665, 267, 891, 3252, 666, 1631, 581, 17411, 25274, 563, 11693, 519, 3573, 2359, 4390, 3710, 883, 667, 15014, 3301, 267, 513, 3059, 1788, 9614, 779, 1909, 666, 9765, 602, 540, 513, 2757, 1788, 9614, 538, 2474, 540, 519, 9165, 540, 519, 9614, 779, 6392, 543, 5539, 269, 5741, 2359, 5340, 25274, 1419, 4386, 538, 3549, 1141, 519, 9614, 20362, 1788, 5838, 1963, 543, 1352, 17731, 1091, 513, 1788, 547, 12032, 1510, 8209, 1373, 3743, 585, 1554, 3562, 6377, 2359, 540, 1788, 5234, 563, 1607, 2376, 7710, 538, 1469, 1018, 3059, 1788, 2359, 14122, 543, 875, 621, 568, 13736, 563, 19119, 540, 7913, 5741, 5004, 454, 288, 2101, 4324, 540, 3059, 1788, 2359, 3435, 568, 741, 2702, 547, 2697, 519, 5730, 1533, 540, 960, 593, 513, 1788, 693, 1022, 2016, 942, 269, 901, 6087, 596, 547, 5544, 1022, 2152, 607, 4166, 607, 789, 8451, 543, 1491, 1022, 2556, 2962, 538, 3210, 267, 1519, 711, 4328, 519, 10858, 8639, 269, 898, 849, 6971, 519, 991, 585, 10647, 7928, 11401, 547, 4309, 10311, 593, 519, 1788, 563, 5194, 4324, 11710, 689, 519, 2702, 547, 4558, 782, 6054, 267, 6119, 267, 543, 2592, 538, 3301, 1759, 538, 519, 6531, 267, 3850, 2319, 2818, 547, 4647, 610, 14202, 3688, 540, 713, 1826, 1510, 17596, 547, 6494, 596, 15737, 31392, 610, 5627, 519, 3688, 538, 2243, 269, 901, 11250, 909, 960, 593, 519, 1788, 676, 14874, 519, 8488, 3335, 2404, 609, 4757, 532, 1394, 543, 8521, 563, 4415, 4967, 593, 519, 1788, 6854, 538, 519, 1482, 8818, 607, 824, 1788, 1570, 267, 596, 849, 2569, 1022, 10539, 827, 5955, 593, 1114, 3344, 540, 519, 1788, 269, 13298, 982, 2348, 547, 4990, 998, 513, 3099, 540, 15737, 547, 1265, 8292, 543, 824, 5955, 593, 741, 960, 689, 1114, 1004, 267, 2319, 2818, 666, 1265, 713, 1344, 538, 835, 21438, 4087, 563, 291, 583, 625, 543, 10341, 540, 513, 7913, 5741, 15440, 454, 291, 583, 625, 8655, 547, 513, 3059, 1788, 9614, 1419, 1331, 519, 1739, 912, 268, 6034, 2359, 540, 7218, 454, 268, 15788, 15569, 540, 6075, 2833, 454, 268, 10417, 783, 1944, 543, 13327, 4370, 1788, 4640, 454, 268, 5548, 1853, 532, 11807, 1788, 4093, 693, 1142, 1900, 538, 519, 1184, 454, 2414, 960, 607, 513, 3059, 1788, 9614, 267, 513, 1880, 1305, 540, 1983, 568, 2877, 269, 1452, 1331, 912, 268, 634, 2702, 547, 1106, 513, 7580, 1620, 540, 875, 513, 1788, 666, 581, 4547, 547, 2927, 819, 454, 268, 11310, 540, 519, 1826, 540, 2029, 602, 1058, 581, 1031, 547, 3035, 1788, 6859, 454, 268, 18833, 1018, 513, 3811, 1788, 6364, 5654, 899, 454, 268, 10318, 1456, 519, 6059, 1942, 540, 519, 1788, 543, 12719, 21614, 296, 454, 268, 6480, 26305, 875, 1279, 621, 786, 1491, 547, 2347, 519, 1788, 454, 268, 634, 2702, 547, 15518, 622, 6392, 950, 2556, 454, 17843, 3785, 2154, 519, 17293, 540, 1114, 1983, 1115, 267, 1818, 8112, 513, 2101, 16495, 585, 1788, 9946, 267, 945, 991, 547, 581, 740, 30794, 538, 513, 3099, 540, 10459, 547, 1685, 741, 5107, 3927, 269, 634, 6662, 540, 519, 2816, 568, 547, 3605, 519, 1034, 3608, 1259, 547, 4194, 7817, 2042, 543, 5838, 2164, 602, 2743, 610, 9765, 7817, 6788, 563, 1692, 568, 7913, 5741, 5004, 7756, 888, 19445, 1788, 2359, 15320, 689, 519, 1935, 1031, 13840, 676, 13327, 4370, 1870, 18129, 1210, 1152, 2228, 5698, 2645, 543, 3157, 269, 634, 2259, 13315, 519, 1482, 3376, 11645, 8655, 547, 513, 2757, 1788, 9614, 269, 898, 15320, 689, 8668, 1788, 2359, 538, 602, 621, 568, 3622, 8246, 585, 5883, 3785 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 25200, 281, 27285, 20540, 281, 27286, 1607, 1449, 5161, 540, 476, 276, 2110, 2626, 2055, 267, 476, 1015, 2110, 1557, 2055, 267, 543, 476, 272, 630, 1993, 476, 274, 264, 1557, 3584, 563, 14112, 8382, 5999, 454, 272, 269, 2755, 789, 616, 2324, 1927, 267, 585, 1018, 2601, 1281, 31684, 2161, 595, 800, 1058, 581, 18507, 547, 1864, 888, 273, 269, 1548, 1281, 31684, 2161, 827, 22598, 888, 274, 269, 1306, 595, 800, 8255, 856, 540, 519, 2777, 267, 3735, 585, 513, 3014, 267, 1018, 1281, 14986, 2161, 547, 1864, 888, 275, 269, 1548, 1281, 14986, 2161, 568, 519, 2601, 602, 31684, 2760, 5129, 538, 519, 2101, 682, 8046, 888, 276, 269, 1548, 1281, 31684, 2161, 1131, 723, 5949, 952, 646, 22821, 1405, 3144, 5279, 540, 28792, 781, 2724, 888, 14112, 4828, 5999, 454, 272, 269, 4208, 1281, 31684, 1745, 646, 568, 1373, 5701, 15490, 569, 693, 960, 888, 273, 269, 4208, 568, 31684, 267, 1082, 3275, 1310, 13031, 1010, 26035, 267, 1869, 4947, 1753, 1169, 3781, 888, 274, 269, 4208, 1281, 28792, 2161, 602, 519, 3983, 2367, 18486, 1864, 888, 275, 269, 1548, 1281, 14986, 2995, 31684, 646, 1058, 798, 950, 519, 16461, 3438, 2501, 888, 276, 269, 1548, 1281, 31684, 2161, 547, 1010, 4816, 8250, 888, 277, 269, 1879, 595, 800, 2501, 1753, 689, 11176, 2259, 267, 1946, 568, 14986, 13347, 609, 1864, 888, 278, 269, 1548, 1650, 1281, 31684, 2995, 827, 519, 942, 646, 4718, 12280, 538, 1268, 888, 279, 269, 4208, 1281, 31684, 2161, 602, 646, 568, 711, 4058, 547, 2285, 22598, 909, 888, 280, 269, 4208, 568, 14986, 13347, 609, 595, 800, 950, 646, 3762, 585, 513, 11176, 3014, 888, 1015, 269, 1548, 1281, 31684, 2161, 827, 519, 27740, 2274, 8046, 538, 13836, 888, 2237, 606, 1557, 585, 21450, 540, 519, 1739, 3584, 912, 13625, 13445, 476, 272, 454, 2750, 8533, 519, 1915, 540, 10370, 976, 269, 1215, 646, 568, 1644, 547, 519, 824, 3197, 538, 519, 1433, 286, 1548, 616, 1010, 9909, 543, 7965, 286, 4208, 1522, 519, 31075, 723, 3769, 10370, 976, 262, 1915, 888, 13625, 13445, 476, 273, 454, 8794, 2093, 689, 519, 1404, 267, 2491, 1946, 596, 1589, 4864, 14355, 8359, 547, 1289, 1010, 1404, 834, 293, 1878, 1701, 769, 1840, 547, 7234, 519, 20545, 799, 31684, 13976, 1472, 1010, 2777, 267, 1331, 707, 2093, 827, 1018, 824, 31966, 2291, 538, 519, 1404, 543, 1946, 519, 20545, 5713, 607, 513, 2178, 3090, 538, 519, 1404, 563, 13625, 13445, 476, 274, 454, 28097, 519, 3390, 540, 7292, 14882, 538, 519, 1404, 267, 1312, 538, 2474, 540, 1018, 616, 23610, 2152, 9619, 543, 1018, 616, 2042, 585, 799, 31684, 6811, 2291, 1152, 1317, 540, 519, 28735, 540, 519, 3043, 812, 936, 519, 3109, 812, 563, 1607, 3296, 3568, 476, 2568, 274, 1913, 454, 26140, 269, 476, 274, 3817, 693, 476, 4968, 1913, 829, 2985, 264, 0, 312, 7541, 3635, 568, 606, 2025, 4095, 1062, 540, 23736, 607, 1134, 607, 2022, 999, 602, 1445, 593, 519, 2247, 267, 519, 2168, 543, 849, 519, 5289, 3344, 269, 898, 568, 7363, 13736, 607, 606, 22161, 8826, 4480, 543, 849, 2882, 2620, 7244, 23736, 267, 11005, 267, 607, 1134, 607, 14931, 7244, 269, 1452, 2853, 3132, 513, 2318, 1198, 593, 519, 1560, 267, 4929, 4222, 267, 13916, 267, 543, 849, 16608, 269, 1306, 3570, 267, 929, 534, 599, 4821, 267, 16095, 6652, 267, 543, 8086, 616, 930, 540, 519, 6093, 23736, 13736, 538, 713, 1062, 269, 18639, 814, 513, 1713, 3310, 593, 519, 1272, 540, 1169, 1268, 267, 8754, 621, 568, 711, 1152, 3730, 585, 519, 1560, 2705, 11338, 3091, 513, 4743, 540, 4708, 607, 1134, 607, 7772, 269, 18639, 3635, 814, 2965, 1044, 6444, 547, 2087, 1426, 12536, 543, 849, 3986, 519, 10009, 540, 5135, 2429, 519, 1560, 269, 2060, 519, 10649, 3635, 23736, 267, 519, 1164, 1973, 2604, 11338, 25242, 607, 1134, 607, 1608, 916, 519, 13285, 269, 3367, 713, 2376, 547, 917, 519, 1292, 2640, 540, 10649, 563, 763, 3119, 5413, 540, 519, 10649, 3635, 568, 602, 789, 3986, 26176, 2088, 607, 1134, 607, 13916, 267, 2539, 2566, 267, 543, 849, 2087, 28491, 607, 1134, 607, 7929, 1062, 2934, 269, 18639, 10123, 7727, 8748, 5383, 585, 519, 12536, 1062, 543, 568, 6444, 547, 3986, 26176, 2088, 607, 1134, 607, 21755, 269, 1677, 12492, 2347, 10649, 1072, 543, 8516, 267, 513, 1268, 1058, 1685, 1554, 3562, 6377, 8086, 267, 929, 534, 599, 4821, 267, 607, 1134, 607, 10649, 3635, 588, 1734, 269, 1452, 23736, 5351, 538, 2810, 519, 17545, 543, 32297, 540, 519, 1585, 4887, 2527, 6887, 540, 519, 1560, 269, 8617, 15904, 10123, 2337, 538, 20993, 28491, 543, 849, 7244, 1949, 538, 1840, 547, 12536, 269, 18639, 11226, 538, 20993, 5834, 543, 5355, 519, 2247, 23073, 4276, 269, 4935, 267, 621, 814, 1044, 8246, 607, 513, 1797, 547, 1521, 6266, 540, 3676, 543, 22074, 269, 1703, 616, 1114, 2010, 540, 10649, 3635, 607, 1134, 607, 1142, 814, 922, 1378, 1871, 563, 2026, 6255, 18553, 568, 835, 1826, 540, 10649, 3635, 267, 799, 14122, 513, 3126, 540, 7158, 269, 1452, 2022, 999, 616, 5340, 2731, 2656, 543, 3196, 519, 6091, 540, 519, 1560, 547, 960, 2182, 267, 799, 23366, 5012, 547, 8476, 1560, 2168, 8516, 269, 670, 24048, 10649, 568, 606, 3606, 1106, 540, 10649, 3635, 267, 799, 568, 811, 17159, 607, 1134, 607, 22471, 559, 982, 1306, 6255, 18553, 269, 898, 2882, 14887, 533, 3166, 3126, 543, 568, 811, 20083, 585, 1346, 602, 723, 606, 1719, 538, 8236, 1560, 2168, 8516, 1510, 2348, 547, 14892, 3573, 23736, 269, 1403, 596, 20053, 547, 3035, 513, 3501, 1560, 267, 596, 723, 547, 6451, 10649, 3635, 609, 6296, 2324, 856, 269, 11554, 856, 2059, 609, 10649, 3635, 786, 2285, 596, 609, 1732, 4093, 6236, 602, 519, 7244, 1568, 856, 602, 616, 851, 540, 10649, 2874, 540, 1454, 4514, 7244, 267, 11931, 6927, 607, 1134, 607, 2620, 7244, 267, 799, 4217, 538, 7393, 519, 5135, 5232, 538, 519, 1560, 563, 26589, 609, 713, 267, 10649, 3635, 16621, 1210, 2953, 588, 1734, 543, 7244, 2553, 602, 786, 6157, 4217, 596, 3986, 519, 17545, 540, 707, 1560, 4887, 2527, 543, 849, 5818, 707, 1560, 1072, 543, 8516, 269, 18639, 568, 513, 17512, 881, 1505, 547, 9585, 513, 3501, 1560, 2168, 8516, 269, 1411, 1175, 2154, 547, 1246, 1808, 4808, 547, 1205, 3323, 609, 10649, 269, 21231, 267, 596, 991, 547, 1413, 585, 4791, 5583, 689, 707, 10629, 1991, 547, 4358, 10649, 865, 602, 646, 666, 6218, 707, 2168, 1072, 543, 9716, 269, 8921, 1055, 267, 596, 786, 6157, 723, 547, 1265, 856, 519, 1114, 10649, 1747, 906, 267, 799, 3617, 585, 707, 1560, 2450, 543, 3337, 269, 2991, 713, 267, 596, 786, 6157, 991, 547, 1451, 519, 1114, 6163, 540, 10649, 3635, 547, 1205, 519, 1655, 2164, 689, 707, 10649, 3635, 7886, 269, 10812, 811, 593, 713, 1641, 1934, 281, 4179, 2517, 523, 25769, 3820, 28293, 270, 312, 7541, 269, 0, 20376, 12053, 10332, 1797, 513, 5469, 5116, 593, 513, 7082, 3758, 602, 25887, 513, 18579, 540, 513, 7082, 1867, 5473, 602, 7082, 3758, 602, 519, 7082, 521, 685, 3961, 949, 723, 1044, 1031, 1510, 519, 7082, 521, 685, 9844, 547, 12611, 592, 1836, 3489, 5370, 610, 2533, 538, 519, 7082, 521, 685, 2012, 563, 268, 476, 272, 1548, 1281, 621, 1611, 950, 2576, 568, 10332, 888, 268, 476, 273, 1548, 568, 513, 5616, 3354, 10332, 888, 268, 476, 274, 1548, 568, 5985, 3354, 10332, 888, 268, 476, 275, 4208, 798, 594, 1832, 3478, 2565, 3354, 25887, 689, 5616, 888, 268, 476, 276, 1548, 568, 5409, 10332, 888, 268, 476, 277, 1548, 1281, 705, 728, 1611, 888, 268, 476, 278, 1215, 798, 594, 917, 952, 513, 5616, 3354, 10332, 568, 1483, 888, 268, 476, 279, 1548, 568, 513, 5616, 10332, 585, 707, 2012, 888, 268, 476, 280, 1215, 798, 594, 3247, 5616, 3354, 25887, 888, 268, 476, 1015, 1215, 666, 596, 2697, 513, 1085, 600, 1067, 888, 268, 476, 1556, 2052, 2576, 11360, 883, 707, 6049, 676, 10912, 596, 888, 268, 476, 1321, 2052, 513, 1085, 600, 1067, 1569, 1250, 6049, 888, 268, 476, 1724, 1215, 798, 594, 2490, 593, 3354, 25887, 538, 717, 21166, 888, 1432, 1281, 621, 1611, 950, 2576, 568, 10332, 888, 31296, 995, 267, 21713, 267, 2647, 268, 1177, 820, 267, 10332, 1611, 1373, 593, 519, 1413, 719, 2523, 585, 8594, 610, 4316, 563, 1432, 568, 513, 5616, 3354, 10332, 888, 11386, 15920, 596, 3354, 25887, 547, 948, 2061, 824, 1004, 689, 1210, 610, 705, 6748, 707, 2272, 269, 6435, 1832, 707, 2272, 5150, 676, 14775, 1318, 2476, 547, 1022, 3354, 25887, 596, 1205, 676, 6049, 610, 4757, 563, 1432, 568, 5985, 3354, 10332, 888, 2026, 4166, 607, 519, 18453, 3468, 338, 519, 1062, 267, 621, 5932, 513, 674, 820, 968, 289, 19495, 30540, 892, 3028, 4781, 593, 519, 7783, 3926, 16041, 609, 15692, 13013, 543, 12134, 519, 6408, 547, 9886, 621, 2629, 27704, 1369, 15692, 779, 10333, 3252, 269, 6693, 3963, 798, 594, 1832, 3478, 2565, 3354, 25887, 689, 5616, 888, 2691, 5616, 30397, 513, 3354, 3390, 609, 707, 2272, 1107, 971, 607, 2576, 19883, 538, 689, 606, 7164, 3926, 1107, 621, 786, 4159, 606, 10332, 538, 519, 813, 596, 2461, 4867, 1210, 267, 971, 607, 717, 21166, 563, 1432, 568, 5409, 10332, 888, 29730, 341, 580, 559, 766, 568, 513, 1533, 540, 2799, 10332, 1145, 269, 1403, 596, 2461, 538, 513, 1533, 540, 5409, 341, 580, 559, 766, 267, 596, 2461, 5393, 6213, 547, 707, 10450, 269, 898, 666, 1118, 596, 1745, 899, 596, 2461, 10332, 547, 1022, 6456, 12178, 267, 2436, 689, 824, 1004, 610, 519, 1604, 269, 10705, 267, 1498, 267, 891, 12178, 616, 711, 1483, 563, 1432, 1281, 705, 728, 1611, 888, 842, 4920, 1438, 8231, 269, 476, 272, 2433, 547, 2611, 7123, 610, 6378, 538, 513, 1533, 513, 2648, 602, 705, 3660, 609, 1864, 782, 1010, 2395, 269, 476, 273, 2433, 547, 3136, 538, 513, 1747, 2433, 865, 30394, 333, 786, 705, 728, 538, 519, 2777, 540, 519, 7083, 269, 705, 728, 676, 269, 476, 272, 2433, 547, 14883, 547, 705, 728, 676, 519, 3652, 563, 1692, 798, 594, 917, 952, 513, 5616, 3354, 10332, 568, 1483, 888, 13425, 585, 19035, 2272, 2534, 454, 268, 3619, 547, 707, 5616, 10055, 563, 268, 2201, 519, 2451, 12445, 8470, 267, 4945, 8232, 563, 268, 2201, 519, 10765, 3354, 2621, 8470, 267, 4945, 5623, 3354, 2621, 563, 268, 5623, 707, 2487, 2534, 543, 1413, 585, 14542, 6753, 610, 3457, 563, 1432, 568, 513, 5616, 10332, 585, 707, 2012, 888, 11386, 1325, 1068, 338, 616, 15737, 8850, 2366, 547, 596, 950, 972, 616, 1007, 5616, 2164, 585, 707, 3406, 2474, 269, 1411, 666, 849, 3442, 547, 723, 707, 25887, 9447, 3842, 3049, 547, 519, 3049, 1348, 518, 540, 707, 3903, 630, 324, 3052, 1421, 5616, 24153, 610, 1039, 519, 3049, 547, 707, 1775, 11386, 2985, 1916, 1692, 798, 594, 3247, 5616, 3354, 25887, 888, 273, 12226, 269, 901, 1568, 281, 2201, 707, 717, 21166, 13875, 4216, 1413, 693, 519, 5377, 1318, 7944, 543, 596, 666, 1294, 513, 19672, 7735, 269, 8437, 593, 621, 543, 1287, 593, 519, 1402, 909, 6885, 1689, 519, 19035, 9963, 5468, 563, 1692, 666, 596, 2697, 513, 1085, 600, 1067, 888, 268, 476, 1015, 4191, 596, 2461, 6158, 547, 513, 1085, 600, 1067, 269, 744, 9536, 23302, 6049, 1297, 269, 6693, 268, 744, 9536, 23302, 6049, 1297, 269, 6693, 268, 5548, 26359, 28551, 269, 6693, 268, 11910, 518, 666, 1406, 5968, 269, 6693, 268, 11910, 518, 3081, 972, 779, 513, 1966, 609, 606, 7164, 2272, 269, 6693, 268, 634, 3159, 540, 519, 6643, 3587, 12699, 269, 6693, 268, 1411, 723, 547, 2697, 3054, 269, 6693, 268, 11910, 518, 3096, 513, 13598, 28551, 563, 4692, 2576, 11360, 883, 707, 6049, 676, 10912, 596, 888, 295, 22326, 4635, 513, 25439, 7089, 454, 13434, 1800, 7125, 267, 4464, 532, 7125, 267, 2542, 6835, 267, 543, 4466, 6753, 540, 513, 1880, 3926, 666, 581, 2944, 609, 1569, 547, 519, 9399, 278, 1062, 269, 4014, 267, 1813, 547, 519, 1377, 540, 7411, 267, 621, 568, 12691, 602, 519, 3328, 1268, 1131, 581, 2111, 547, 11360, 513, 6049, 538, 713, 6073, 563, 4692, 513, 1085, 600, 1067, 1569, 1250, 6049, 888, 7312, 6049, 1297, 568, 606, 2653, 3562, 1922, 785, 1883, 602, 666, 581, 1031, 676, 21190, 543, 1085, 27980, 547, 30196, 707, 2123, 1239, 269, 1358, 666, 849, 946, 707, 1297, 538 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 1432, 786, 581, 2877, 585, 960, 454, 2791, 991, 547, 723, 827, 476, 273, 269, 276, 544, 540, 5394, 18052, 267, 971, 568, 4421, 585, 519, 5478, 540, 27656, 2761, 338, 269, 16259, 23805, 267, 513, 14402, 267, 11746, 543, 513, 4062, 540, 21312, 563, 21652, 548, 5663, 1184, 454, 7230, 913, 519, 17180, 689, 519, 3382, 269, 19171, 519, 9133, 540, 519, 18761, 21312, 14816, 538, 3368, 267, 16119, 2842, 621, 547, 519, 17180, 269, 634, 4027, 1590, 711, 13472, 1055, 519, 16405, 267, 1118, 2386, 602, 519, 3259, 540, 519, 21312, 568, 3152, 982, 519, 2450, 540, 519, 17180, 267, 519, 9133, 1590, 581, 18172, 6806, 267, 707, 3106, 5673, 593, 621, 563, 289, 754, 519, 18052, 538, 3368, 267, 1491, 513, 17180, 543, 1747, 513, 18846, 593, 519, 1394, 540, 519, 1283, 540, 519, 6023, 563, 307, 773, 513, 24516, 563, 4407, 1119, 532, 519, 14853, 540, 519, 1318, 1688, 267, 7683, 2046, 519, 18052, 538, 519, 1747, 540, 16937, 267, 798, 711, 1577, 621, 31770, 796, 19055, 2406, 269, 12414, 519, 17180, 936, 269, 22043, 519, 7475, 540, 519, 887, 6647, 563, 307, 773, 519, 1101, 24516, 593, 713, 2427, 269, 634, 5690, 540, 3527, 1281, 711, 8428, 689, 519, 1657, 281, 519, 1318, 1439, 540, 519, 18052, 568, 4092, 2630, 267, 543, 519, 2451, 1657, 269, 634, 2451, 18052, 536, 1742, 543, 568, 14593, 883, 513, 8258, 267, 1287, 519, 24516, 568, 1360, 17401, 9395, 2989, 563, 31282, 519, 17180, 1586, 543, 5679, 527, 519, 24516, 593, 519, 6023, 269, 898, 568, 1360, 1271, 547, 7747, 519, 4341, 281, 538, 519, 5580, 2990, 519, 1482, 1439, 540, 519, 18052, 568, 7683, 267, 538, 938, 2013, 519, 2451, 269, 1809, 621, 1281, 711, 2339, 267, 596, 666, 2141, 3180, 519, 1318, 1439, 540, 519, 18052, 538, 713, 2990, 563, 1805, 20234, 519, 6023, 547, 519, 1360, 1439, 267, 693, 519, 2063, 24516, 2759, 519, 1279, 7475, 540, 519, 18052, 269, 5590, 11735, 827, 476, 276, 6515, 593, 1142, 2427, 563, 299, 7660, 5402, 3002, 1142, 1439, 538, 2490, 267, 519, 18052, 1058, 15835, 267, 855, 711, 6633, 563, 29128, 519, 12249, 814, 22799, 267, 2046, 519, 2427, 540, 519, 23805, 16119, 5196, 519, 2063, 2490, 540, 519, 23090, 563, 3725, 701, 520, 609, 519, 824, 1439, 269, 3767, 519, 7475, 786, 711, 10690, 543, 786, 711, 2150, 4120, 563, 763, 17180, 568, 4712, 547, 946, 267, 7696, 621, 883, 519, 2013, 543, 1491, 621, 609, 596, 593, 15143, 563, 1607, 1826, 540, 6023, 666, 581, 1500, 711, 1152, 585, 31009, 267, 855, 849, 585, 513, 669, 529, 601, 543, 513, 15790, 18782, 3787, 267, 513, 554, 2931, 1177, 543, 513, 3758, 910, 547, 1022, 1688, 2645, 269, 0, 763, 631, 6242, 545, 4521, 849, 4951, 519, 25232, 875, 547, 2661, 513, 1272, 24886, 547, 2696, 269, 2311, 519, 1360, 2547, 267, 621, 729, 3571, 3391, 1504, 547, 13411, 2713, 269, 1809, 1705, 2696, 2709, 811, 982, 602, 286, 1261, 16219, 267, 968, 16605, 1250, 3526, 525, 543, 4031, 267, 585, 519, 812, 945, 1073, 324, 903, 873, 786, 2661, 676, 873, 892, 630, 299, 5271, 12792, 639, 476, 1240, 281, 276, 282, 5635, 1546, 17458, 16860, 476, 275, 281, 272, 1700, 273, 282, 476, 279, 281, 272, 282, 476, 1789, 281, 1428, 1700, 866, 1040, 1548, 1705, 519, 2262, 968, 331, 633, 892, 1611, 538, 891, 18627, 286, 898, 568, 711, 2312, 952, 2696, 729, 5356, 18163, 1272, 998, 519, 4521, 269, 6754, 568, 711, 1360, 2312, 593, 713, 1448, 2901, 630, 4818, 732, 14564, 476, 278, 281, 1015, 609, 8895, 520, 2103, 476, 274, 281, 2641, 1040, 18623, 3112, 1256, 3858, 2436, 6754, 729, 13288, 547, 519, 2898, 631, 6242, 545, 4521, 610, 1175, 547, 851, 540, 621, 630, 5408, 8470, 281, 1548, 1705, 6754, 1611, 676, 968, 10849, 6326, 519, 1876, 892, 286, 1916, 5278, 10271, 4001, 602, 952, 519, 25232, 1185, 1044, 2111, 547, 23491, 621, 267, 519, 631, 6242, 545, 4521, 1223, 723, 4547, 873, 20778, 269, 1358, 2303, 602, 2661, 676, 873, 538, 2274, 10903, 16307, 476, 1240, 281, 276, 5921, 968, 331, 633, 1317, 540, 1073, 324, 3539, 519, 4031, 892, 630, 5408, 26442, 2131, 1408, 476, 3451, 281, 1428, 282, 15623, 476, 866, 281, 1704, 1040, 4340, 547, 713, 2070, 267, 2696, 779, 9153, 540, 20778, 998, 519, 4521, 729, 9758, 267, 855, 2760, 2965, 2009, 1317, 519, 25232, 8959, 269, 4033, 10271, 4001, 602, 1256, 2407, 24150, 547, 519, 631, 6242, 545, 4521, 1223, 711, 723, 4547, 20778, 269, 1358, 2303, 602, 2661, 676, 873, 5921, 547, 2661, 968, 3147, 1800, 892, 547, 519, 4031, 267, 711, 968, 20357, 892, 540, 873, 269, 4340, 547, 713, 2070, 267, 952, 519, 25232, 1031, 519, 1568, 540, 519, 4521, 547, 7118, 20778, 267, 789, 941, 3843, 547, 3715, 741, 1378, 32660, 1765, 1718, 655, 2740, 676, 6754, 538, 14564, 476, 1015, 281, 274, 563, 15371, 610, 711, 2696, 2965, 6035, 18163, 1272, 998, 519, 631, 6242, 545, 4521, 267, 519, 25232, 1705, 711, 267, 538, 1249, 267, 23491, 621, 269, 8307, 2696, 779, 11419, 729, 2111, 547, 4688, 873, 269, 634, 1715, 11620, 2306, 621, 2312, 602, 1100, 835, 814, 1044, 2111, 547, 7118, 20778, 676, 1568, 1765, 928, 2416, 676, 1568, 540, 519, 4521, 630, 29727, 520, 2103, 476, 273, 281, 1626, 264, 6862, 676, 1022, 824, 2186, 540, 1434, 1568, 630, 305, 30689, 476, 275, 281, 276, 282, 9210, 1127, 2103, 476, 273, 281, 279, 1700, 280, 1040, 4475, 267, 782, 10271, 3858, 602, 519, 4521, 2760, 2965, 10710, 4896, 269, 1717, 267, 782, 798, 711, 3858, 827, 519, 11173, 28252, 540, 519, 631, 6242, 545, 4521, 585, 10271, 269, 634, 24279, 2838, 676, 519, 4521, 267, 540, 1576, 267, 941, 8694, 676, 741, 20106, 538, 2441, 630, 3891, 3691, 9749, 30667, 476, 280, 1700, 1015, 1040, 1809, 1058, 10271, 2119, 547, 23491, 519, 1964, 540, 519, 4521, 540, 15584, 538, 1931, 547, 2661, 13411, 2729, 286, 1703, 616, 1079, 1292, 4267, 563, 763, 631, 6242, 545, 4521, 8033, 1132, 585, 10271, 454, 763, 1101, 1292, 2626, 568, 267, 968, 8133, 267, 10271, 1058, 2119, 547, 1246, 519, 631, 6242, 545, 4521, 1848, 8409, 4758, 713, 2626, 4001, 602, 519, 631, 6242, 545, 4521, 2141, 729, 2696, 779, 4521, 267, 543, 2141, 786, 2611, 2696, 779, 4521, 269, 4475, 267, 10271, 1058, 3136, 547, 1246, 519, 631, 6242, 545, 4521, 585, 13411, 2713, 269, 1358, 11168, 15623, 476, 276, 281, 1704, 1700, 866, 267, 1141, 4906, 1767, 267, 968, 296, 723, 711, 2097, 547, 13373, 880, 873, 630, 1492, 4521, 610, 519, 11330, 515, 1206, 264, 855, 547, 11886, 873, 1848, 1358, 3494, 602, 547, 11886, 5921, 968, 1729, 6166, 610, 6445, 909, 2223, 711, 968, 1729, 9096, 1848, 4906, 1419, 5587, 1881, 519, 4521, 779, 3020, 2495, 1996, 519, 27390, 7301, 2495, 6026, 676, 519, 1912, 541, 1047, 525, 630, 31861, 476, 276, 281, 866, 1070, 543, 1261, 2620, 2989, 519, 4521, 779, 2495, 676, 13031, 519, 3741, 3297, 621, 630, 276, 281, 2641, 1700, 4366, 1040, 4906, 1767, 602, 2394, 13140, 543, 3618, 14897, 711, 835, 4484, 610, 4050, 3613, 6593, 786, 676, 1022, 1797, 14897, 689, 519, 4521, 630, 31861, 476, 276, 281, 1240, 1040, 4475, 713, 1895, 11099, 10271, 1058, 2259, 543, 4001, 519, 2547, 540, 891, 4971, 906, 630, 276, 281, 866, 1040, 1358, 3494, 602, 6754, 779, 3948, 602, 2441, 568, 519, 1439, 540, 519, 1876, 5921, 602, 1261, 568, 519, 968, 704, 325, 1254, 892, 610, 968, 2998, 531, 892, 540, 519, 4521, 630, 305, 30689, 476, 1015, 281, 275, 1040, 634, 10752, 540, 1346, 16561, 713, 1101, 2626, 666, 581, 24298, 676, 1079, 1292, 3741, 563, 5575, 540, 782, 267, 789, 8044, 602, 972, 568, 1100, 1483, 3017, 1063, 519, 6196, 543, 519, 1715, 11620, 3823, 2696, 779, 5837, 1876, 269, 1358, 11168, 519, 5817, 9322, 543, 15364, 538, 519, 6426, 269, 1358, 1448, 856, 602, 1256, 519, 22258, 729, 840, 3737, 538, 519, 6196, 11620, 630, 305, 30689, 476, 272, 281, 272, 1700, 273, 282, 8895, 520, 2103, 476, 274, 281, 279, 282, 1261, 3691, 9749, 476, 275, 281, 273, 1040, 4340, 547, 713, 2626, 267, 519, 631, 6242, 545, 4521, 729, 711, 513, 23249, 538, 2696, 779, 968, 322, 19879, 540, 11419, 892, 630, 5408, 4937, 9137, 281, 595, 8576, 1218, 543, 2598, 335, 839, 725, 1070, 855, 513, 3844, 851, 540, 3571, 26315, 609, 3571, 1004, 269, 634, 4521, 729, 2760, 3983, 267, 610, 10353, 547, 2696, 779, 14767, 267, 855, 13411, 543, 1434, 630, 305, 30689, 476, 278, 281, 1321, 282, 8895, 520, 2103, 476, 274, 281, 2641, 1040, 4634, 538, 519, 6196, 11620, 267, 2696, 779, 11419, 729, 2877, 547, 4688, 3571, 1004, 269, 2696, 1185, 2907, 9447, 519, 25232, 689, 5527, 1354, 1261, 5795, 873, 519, 631, 6242, 545, 4521, 630, 2750, 21402, 476, 736, 281, 273, 1040, 4634, 538, 519, 6196, 11620, 267, 14174, 18952, 538, 2696, 729, 519, 1152, 1259, 547, 20778, 267, 4352, 24150, 729, 18796, 607, 1134, 630, 5719, 17458, 16860, 476, 280, 281, 2537, 1700, 2190, 1040, 9474, 6938, 295, 4456, 729, 26916, 585, 1010, 5132, 630, 7049, 8412, 476, 1428, 281, 277, 1070, 607, 1134, 607, 585, 5329, 2696, 779, 12981, 543, 4031, 1765, 29592, 519, 631, 6242, 545, 4521, 729, 2016, 630, 7049, 8412, 476, 2918, 281, 275, 1700, 276, 1040, 634, 2854, 4521, 1705, 711, 17591, 2696, 779, 7938, 9287, 1876, 267, 2016, 547, 14062, 543, 519, 24663, 338, 1279, 1354, 269, 634, 5837, 4170, 540, 2696, 941, 3020, 1354, 519, 631, 6242, 545, 4521, 267, 543, 616, 1869, 3020, 1310, 4906, 18591, 563, 13553, 267, 891, 5640, 849, 3494, 602, 519, 631, 6242, 545, 4521, 3788, 513, 8628, 851, 540, 519, 1007, 26315, 630, 11679, 531, 332, 476, 9340, 281, 278, 1700, 279, 1040, 25360, 332, 476, 15686, 10645, 602, 2696, 779, 4031, 616, 18163, 543, 786, 2063, 11014, 630, 15686, 281, 13893, 267, 13923, 267, 8182, 1040, 634, 28556, 12038, 540, 2696, 779, 4521, 11173, 547, 519, 2063, 2395, 630, 3674, 320, 11672, 476, 273, 281, 273, 1700, 274, 282, 26442, 2131, 1408, 476, 1556, 281, 736, 1040, 4340, 547, 713, 1895, 267, 519, 1876, 540, 2441, 630, 29727, 520, 2103, 476, 277, 281, 273, 264, 568, 519, 1482, 607, 519, 4521, 540, 15584, 269, 1358, 1810, 1406, 3494, 2696, 814, 1022, 824, 2186, 540, 1876, 267, 607, 2696, 1281, 711, 17591, 13924, 1345, 269, 4906, 19230, 1996, 8840, 835, 540, 519, 2547, 540, 891, 4971, 906, 267, 13288, 547, 519, 631, 6242, 545, 4521, 630, 31861, 476, 276, 281, 866, 1040, 4014, 4906, 6026, 602, 5126, 267, 23502, 543, 5132, 6888, 941, 519, 811, 1271, 6927, 540, 519, 1876, 267, 1261, 3773, 602, 519, 1912, 541, 1047, 525, 1058, 711, 10714, 519, 5707, 515, 540, 741, 14546, 2901, 630, 31861, 476, 2537, 281, 2537, 1040, 6754, 10645, 602, 676, 5132, 649, 27481, 519, 1876, 630, 305, 30689, 476, 274, 281, 4029, 1040, 1452, 10271, 3494, 602, 519, 4521, 540, 519, 1007, 26315, 568, 519, 1482, 607, 519, 2854, 4521, 540, 519, 2025, 26315, 267, 1175, 2016, 538, 513, 1114, 1106, 269, 1358, 4001, 602, 14564, 476, 1015, 281, 275, 5921, 2441, 729, 519, 968, 2998, 531, 892, 540, 519, 631, 6242, 545, 4521, 267, 711, 519, 1439, 540, 519, 28252, 540, 519, 4521, 269, 6276, 5219, 547, 2274, 10903, 16307, 476, 866, 281, 1240, 543, 1546, 17458, 16860, 476, 272, 281, 1704, 607, 519, 10424, 1876, 1336, 538, 23075, 630, 22832, 476, 273, 281, 279, 1700, 280, 1040, 6754, 29739, 593, 5329, 2696, 779, 12981, 630, 272, 29833, 2103, 476, 278, 281, 866, 1070, 543, 7396, 1082, 540, 519, 14210, 16710, 906, 538, 14564, 476, 1724, 281, 279, 1700, 1015, 269, 3414, 519, 631, 6242, 545, 26315, 2696, 5551, 513, 15962, 267, 13411, 2078, 609, 3571, 1004, 269, 901, 1895, 11414, 602, 519, 1007, 26315, 729, 513, 25430, 540, 602, 2078, 267, 711, 513, 4625, 1007, 11460, 630, 297, 699, 31109, 476, 4029, 281, 3451, 1916, 5278, 540, 891, 21071, 2303, 519, 2241, 6240, 281, 968, 13731, 2103, 1058, 1246, 782, 540, 519, 12981, 540, 519, 631, 6242, 545, 4521, 267, 4849, 1346, 4481, 4957, 610, 27618, 676, 4906, 2441, 610, 519, 19980, 956, 1848, 272, 1809, 1034, 540, 1346, 945, 3494, 519, 4521, 5170, 798, 711, 3398, 971, 513 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 972, 568, 1100, 10539, 827, 1018, 2115, 547, 581, 4824, 269, 8528, 275, 269, 2422, 513, 3318, 3159, 281, 19321, 513, 3318, 3159, 267, 1256, 952, 519, 5955, 568, 2942, 269, 3680, 1210, 10792, 1893, 610, 10404, 1944, 519, 2278, 13948, 269, 8528, 276, 269, 20644, 10372, 281, 3629, 1808, 10372, 585, 875, 519, 2278, 666, 2087, 741, 960, 269, 901, 1223, 1331, 17370, 1800, 5220, 267, 1210, 1114, 2959, 267, 610, 22198, 4474, 512, 10640, 763, 1650, 2115, 547, 1331, 513, 8903, 543, 6397, 4729, 6335, 269, 2659, 2239, 1058, 13469, 609, 519, 13597, 543, 2123, 5905, 1336, 538, 8468, 5717, 269, 3417, 11541, 2621, 543, 3929, 3178, 563, 0, 769, 513, 1507, 4884, 3957, 15306, 6807, 267, 5030, 1079, 1655, 2828, 1107, 15207, 543, 25381, 269, 1358, 941, 1312, 476, 1015, 1296, 2025, 543, 6068, 2029, 269, 2290, 13566, 12784, 267, 1247, 544, 684, 4221, 593, 741, 5172, 11945, 533, 625, 267, 789, 3323, 7234, 799, 729, 519, 1655, 6049, 547, 4444, 896, 19238, 373, 5611, 876, 780, 20755, 3240, 6700, 267, 834, 3963, 1810, 1405, 649, 2307, 6004, 269, 717, 611, 1326, 267, 938, 2199, 10509, 4274, 8119, 25381, 8815, 9020, 16484, 267, 834, 15124, 2856, 256, 1261, 6487, 782, 827, 19269, 1701, 1924, 1055, 789, 4682, 267, 23362, 8876, 741, 1592, 540, 1761, 16389, 780, 2026, 789, 14059, 6004, 269, 717, 611, 1326, 781, 4558, 267, 646, 30870, 873, 27145, 543, 4280, 1018, 4547, 1346, 6505, 1159, 3796, 547, 1010, 6300, 2221, 269, 2060, 4064, 31394, 609, 10761, 267, 15207, 1767, 267, 834, 2171, 1616, 547, 917, 799, 568, 519, 1655, 6049, 547, 4444, 896, 19238, 373, 5611, 876, 15323, 16031, 269, 717, 611, 1326, 1989, 514, 2740, 267, 3576, 856, 1010, 3172, 4328, 4837, 267, 543, 6743, 693, 741, 1592, 5402, 269, 2991, 930, 15826, 8090, 267, 646, 3459, 4687, 3877, 827, 1142, 2203, 910, 12514, 267, 21932, 267, 9075, 267, 543, 2949, 3593, 2833, 269, 3245, 519, 18161, 4596, 2473, 274, 609, 922, 9735, 476, 6344, 21636, 5496, 547, 519, 7464, 1889, 476, 279, 781, 13085, 476, 5038, 12463, 8254, 267, 1169, 1469, 1500, 15207, 543, 25381, 811, 8049, 982, 2479, 1354, 2439, 5475, 6947, 32348, 267, 1776, 2243, 1402, 6244, 909, 538, 741, 8186, 910, 12984, 333, 1405, 713, 2147, 547, 4466, 519, 1655, 15692, 3926, 896, 19238, 373, 5611, 876, 286, 30985, 267, 789, 844, 518, 1221, 6004, 269, 717, 611, 1326, 952, 972, 729, 1022, 3017, 1063, 519, 1079, 2055, 780, 4415, 1000, 1074, 1782, 4064, 2407, 540, 7326, 267, 6004, 269, 717, 611, 1326, 6045, 267, 834, 17829, 2055, 3100, 7567, 267, 855, 2965, 267, 789, 5749, 1405, 3833, 865, 269, 2755, 1034, 1434, 11436, 2887, 883, 519, 15692, 7121, 267, 711, 782, 1656, 28281, 3514, 519, 1412, 12895, 6049, 262, 2140, 1813, 547, 3604, 538, 5665, 1949, 543, 2688, 3074, 3010, 30342, 7138, 1194, 2943, 27278, 267, 15207, 543, 25381, 4797, 1565, 827, 1585, 3457, 2429, 519, 1554, 269, 9282, 789, 4769, 1405, 1265, 606, 6207, 16771, 1851, 519, 5079, 267, 789, 2451, 2348, 4362, 1945, 1256, 1732, 910, 875, 4241, 543, 1950, 519, 1158, 540, 2029, 5963, 729, 256, 0, 2237, 606, 3872, 1650, 630, 274, 268, 276, 9433, 264, 6098, 693, 1762, 1453, 1210, 2241, 1913, 269, 634, 1650, 1058, 581, 6273, 689, 713, 1257, 6256, 281, 3097, 2108, 5575, 2243, 281, 6904, 568, 519, 1655, 6049, 547, 4444, 896, 476, 5611, 876, 888, 13553, 2243, 281, 6904, 568, 519, 1655, 543, 5514, 3926, 547, 4444, 896, 19238, 373, 5611, 876, 888, 6701, 891, 1079, 2055, 6998, 519, 1482, 3364, 888, 302, 6877, 281, 1496, 328, 316, 1100, 269, 1496, 4512, 316, 9811, 563, 5575, 267, 1577, 803, 2232, 519, 1079, 2055, 596, 723, 4280, 267, 4553, 676, 16460, 2436, 789, 616, 6998, 519, 1482, 3364, 610, 711, 780, 5575, 2243, 281, 6904, 568, 519, 1655, 6049, 547, 4444, 896, 476, 5611, 876, 2496, 1103, 519, 3902, 2039, 540, 896, 476, 5611, 876, 267, 972, 616, 1896, 11436, 602, 596, 666, 2015, 269, 1717, 267, 519, 1655, 6049, 786, 4096, 593, 707, 2123, 7375, 543, 4170, 269, 1452, 1331, 2188, 971, 607, 2773, 267, 8254, 2298, 267, 6007, 1272, 267, 543, 3301, 1995, 269, 2368, 540, 519, 1655, 2139, 3681, 538, 713, 3902, 10126, 616, 1384, 272, 269, 18161, 4596, 2473, 274, 281, 634, 18161, 4596, 2473, 274, 3091, 513, 476, 6344, 13703, 29295, 2557, 4159, 267, 10965, 777, 323, 16400, 476, 278, 3953, 294, 16267, 267, 476, 7785, 271, 332, 25105, 6007, 267, 543, 513, 22712, 2275, 600, 5028, 14764, 593, 519, 1394, 780, 273, 269, 7464, 1889, 476, 279, 281, 634, 7464, 1889, 476, 279, 2501, 609, 513, 9012, 307, 2131, 4477, 1470, 717, 4817, 16267, 267, 476, 5038, 6573, 3642, 22712, 2275, 600, 5028, 267, 543, 513, 476, 4335, 271, 332, 25105, 6007, 609, 476, 1789, 310, 3728, 12123, 24101, 10640, 763, 1650, 3085, 1406, 723, 547, 581, 5466, 3388, 538, 519, 6256, 267, 621, 568, 972, 1175, 585, 6667, 563, 763, 1650, 1058, 723, 519, 1739, 2934, 281, 3097, 268, 3163, 5610, 281, 7842, 2596, 2257, 2035, 1369, 519, 1650, 267, 7713, 873, 998, 519, 3197, 262, 9035, 543, 8906, 269, 1280, 1383, 267, 952, 519, 1650, 2882, 513, 6429, 1141, 3197, 616, 3168, 693, 519, 6607, 267, 596, 1223, 723, 873, 4898, 1946, 621, 781, 4544, 543, 2491, 519, 6323, 3297, 538, 3446, 1153, 1377, 563, 268, 15511, 281, 1331, 693, 2547, 835, 5188, 543, 16367, 6643, 563, 268, 17023, 6335, 281, 9959, 609, 513, 6335, 602, 3085, 1405, 8207, 607, 12479, 267, 855, 3762, 513, 2312, 3992, 827, 1272, 543, 2257, 563, 2710, 711, 1376, 609, 5929, 5220, 899, 834, 5629, 2390, 513, 942, 2580, 581, 3860, 269, 0, 6092, 5149, 281, 1133, 24286, 9147, 31981, 910, 634, 5295, 540, 3778, 543, 5678, 692, 8893, 476, 272, 281, 1548, 568, 3778, 540, 3163, 2496, 5331, 952, 649, 1223, 2951, 1394, 538, 942, 543, 2307, 3504, 3744, 875, 789, 4362, 1007, 1919, 827, 519, 1158, 1472, 721, 256, 2755, 942, 6191, 616, 1869, 1175, 2257, 5708, 267, 12206, 723, 1044, 2111, 547, 10625, 4241, 2984, 827, 930, 6909, 17024, 945, 5030, 1279, 3516, 269, 1635, 4974, 741, 12591, 267, 2645, 267, 543, 8906, 267, 891, 12206, 948, 721, 1174, 875, 1004, 4121, 827, 519, 2067, 1158, 2429, 1686, 269, 901, 2361, 540, 1353, 568, 1572, 834, 20931, 540, 2257, 2437, 543, 621, 781, 899, 1373, 513, 19792, 2650, 1424, 1927, 10881, 2451, 3297, 676, 13085, 8186, 780, 4131, 781, 1491, 513, 1413, 693, 835, 1383, 281, 9894, 596, 917, 972, 941, 5640, 1354, 5904, 945, 23125, 856, 5863, 2081, 547, 5173, 2338, 543, 4194, 7294, 2042, 1210, 1152, 4050, 543, 1957, 286, 2290, 971, 1268, 729, 20435, 14161, 26179, 12821, 1380, 267, 4535, 538, 476, 10082, 278, 538, 5125, 269, 4634, 607, 513, 1126, 267, 646, 4951, 11108, 13007, 585, 6128, 269, 2311, 519, 2085, 540, 5722, 267, 646, 22035, 1639, 1010, 4116, 676, 3533, 4946, 909, 782, 519, 9981, 689, 476, 272, 547, 476, 1911, 1107, 666, 596, 4952, 3257, 602, 865, 3728, 1510, 513, 9498, 286, 2334, 781, 1018, 649, 1289, 513, 2979, 605, 21745, 344, 256, 1306, 646, 8057, 4587, 267, 12821, 1380, 4797, 1818, 1713, 7418, 547, 1585, 4610, 1519, 1297, 3069, 267, 7223, 267, 7194, 267, 2079, 267, 11186, 9511, 267, 2520, 3941, 344, 267, 2520, 2684, 12695, 267, 11707, 267, 6850, 560, 18267, 267, 17651, 267, 5119, 3069, 267, 543, 25852, 269, 26272, 256, 3143, 4898, 646, 781, 2808, 835, 540, 519, 6574, 22697, 540, 782, 942, 2439, 12244, 281, 23239, 754, 596, 2811, 513, 14787, 4974, 12821, 1380, 262, 1272, 269, 3503, 1524, 1614, 4277, 5013, 596, 1131, 1616, 547, 2671, 609, 1866, 827, 1864, 780, 8893, 476, 273, 281, 5463, 5317, 23452, 19932, 692, 3086, 1577, 781, 2263, 1776, 10578, 1858, 5702, 5532, 547, 519, 1686, 540, 2257, 281, 21264, 532, 4503, 4654, 269, 5620, 596, 2479, 6836, 2542, 707, 3237, 262, 2025, 5022, 610, 1019, 2456, 2854, 538, 513, 5728, 3009, 286, 898, 7959, 899, 6061, 513, 11015, 267, 3085, 1405, 621, 286, 3767, 4605, 3843, 547, 1232, 1712, 6835, 2854, 5215, 540, 1296, 3516, 538, 4654, 602, 18864, 14753, 15042, 256, 2334, 781, 4010, 1018, 8059, 1235, 798, 950, 789, 960, 593, 21264, 532, 4666, 4654, 780, 3080, 4583, 2013, 3322, 12430, 645, 267, 513, 7097, 1031, 676, 29901, 523, 2801, 534, 16380, 1472, 476, 13970, 271, 268, 9610, 271, 7460, 269, 1280, 5553, 267, 5640, 7948, 1405, 1224, 621, 2394, 7812, 20764, 5142, 29618, 922, 3009, 538, 476, 4198, 273, 269, 3807, 899, 6061, 513, 9814, 267, 20764, 5142, 3379, 12430, 645, 5931, 609, 1634, 1913, 689, 824, 3504, 5259, 22463, 269, 16828, 267, 646, 7691, 602, 12430, 645, 6592, 606, 2038, 1106, 540, 5259, 256, 3571, 6602, 8118, 909, 513, 2898, 1007, 6885, 883, 1620, 519, 2729, 540, 29901, 523, 2801, 753, 780, 12244, 281, 6056, 540, 513, 2241, 18839, 29905, 1141, 1142, 4484, 540, 519, 9904, 14687, 547, 1776, 4484, 630, 1721, 1383, 267, 1412, 288, 262, 3587, 1412, 313, 3299, 1412, 289, 262, 3587, 1412, 312, 3299, 3092, 12175, 3503, 513, 2110, 4845, 267, 31391, 621, 1210, 713, 29905, 267, 543, 4161, 513, 3659, 547, 1232, 1712, 621, 780, 8893, 476, 274, 281, 11628, 6406, 3074, 9453, 5675, 7010, 692, 7661, 267, 1577, 781, 2015, 12977, 602, 4769, 1405, 946, 1603, 1949, 855, 1869, 7307, 547, 3035, 11141, 905, 1846, 269, 6875, 519, 5549, 320, 7276, 538, 3162, 3013, 267, 585, 3236, 269, 6736, 2348, 1100, 6101, 1603, 1062, 267, 789, 2919, 10427, 11265, 2553, 267, 6694, 2853, 267, 543, 1256, 9738, 513, 1950, 11706, 269, 5502, 540, 1603, 267, 789, 1031, 24516, 1540, 12673, 1572, 844, 760, 639, 547, 2594, 1344, 269, 2372, 924, 19782, 1190, 267, 1318, 2496, 4913, 267, 1317, 649, 1810, 1405, 4628, 1174, 519, 2495, 3297, 1169, 1826, 540, 24516, 1031, 538, 844, 760, 639, 267, 1082, 3344, 540, 769, 4754, 2528, 2611, 695, 709, 4765, 538, 9814, 269, 16480, 267, 18840, 5505, 543, 12206, 1832, 2324, 2182, 547, 1451, 811, 827, 873, 267, 7444, 890, 9934, 2476, 6106, 540, 1686, 1454, 899, 606, 22323, 780, 12244, 281, 5071, 707, 1378, 12572, 1893, 1210, 5546, 267, 4778, 267, 610, 6698, 3079, 540, 5022, 269, 8073, 513, 5048, 1210, 707, 1007, 1893, 543, 1294, 952, 513, 1362, 22940, 666, 7157, 4612, 621, 2439, 9961, 713, 1576, 1770, 267, 649, 4312, 3460, 539, 998, 942, 3695, 1114, 18125, 540, 519, 1686, 540, 2257, 267, 1642, 1386, 883, 519, 2591, 540, 21264, 532, 4503, 4654, 267, 543, 14952, 539, 693, 12977, 602, 4278, 1882, 1510, 2757, 1603, 1949, 269, 5457, 267, 1565, 827, 1686, 3884, 1405, 1175, 8357, 1944, 7389, 543, 2621, 282, 621, 781, 849, 827, 19825, 1480, 27265, 2066, 4529, 543, 21971, 269, 0, 2080, 568, 606, 1349, 689, 513, 2546, 912, 257, 272, 717, 269, 590, 691, 517, 267, 968, 8002, 320, 693, 4302, 16786, 2223, 5246, 269, 2028, 520, 269, 546, 685, 7290, 334, 790, 964, 9443, 476, 1789, 267, 476, 27088, 1700, 32579, 630, 4198, 272, 1040, 14181, 327, 4752, 729, 519, 13653, 540, 519, 14600, 974, 559, 684, 2102, 1990, 584, 717, 525, 577, 747, 974, 3541, 2405, 714, 514, 3768, 3541, 715, 4405, 342, 1170, 839, 577, 2378, 1084, 630, 2412, 2019, 338, 5919, 476, 5002, 273, 268, 3707, 273, 1070, 799, 267, 607, 519, 2140, 8612, 267, 729, 13991, 547, 519, 1686, 1101, 267, 540, 4915, 267, 543, 2034, 267, 540, 2257, 563, 273, 594, 1031, 519, 2034, 15428, 7160, 540, 2019, 338, 269, 476, 272, 268, 275, 630, 6245, 277, 267, 476, 6245, 279, 267, 476, 6245, 280, 267, 476, 5002, 271, 264, 543, 519, 1101, 540, 2019, 269, 476, 276, 630, 6245, 280, 1916, 274, 589, 1592, 540, 873, 267, 538, 1931, 540, 2669, 1296, 267, 949, 581, 10375, 281, 6754, 18000, 1676, 344, 630, 7277, 274, 1700, 5002, 275, 5148, 19555, 2335, 667, 1408, 338, 630, 7277, 279, 1700, 4572, 273, 5148, 21238, 15867, 529, 564, 630, 7277, 276, 1700, 4572, 274, 5148, 2977, 534, 23160, 341, 580, 1261, 756, 1120, 630, 6977, 275, 1700, 4572, 279, 5148, 21853, 5341, 13153, 12070, 600, 578, 6308, 5336, 334, 749, 754, 528, 742, 630, 7277, 279, 1700, 4350, 272, 1070, 24381, 823, 15867, 529, 564, 630, 7277, 277, 1700, 4350, 276, 1070, 11184, 7338, 9741 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 519, 11809, 984, 5211, 779, 2095, 269, 634, 2481, 729, 3710, 936, 519, 1576, 540, 476, 274, 1296, 267, 689, 476, 1220, 275, 547, 476, 1220, 278, 563, 7049, 269, 623, 2925, 345, 631, 2313, 541, 2378, 9250, 519, 11036, 538, 476, 1220, 278, 267, 543, 621, 814, 1044, 4881, 2479, 2094, 269, 898, 2337, 11125, 622, 7404, 2127, 267, 4352, 960, 568, 1869, 1373, 2944, 547, 1711, 513, 6198, 12555, 8905, 998, 519, 2481, 563, 763, 17939, 752, 345, 2967, 12456, 814, 1044, 2629, 538, 4509, 519, 5757, 779, 1216, 2095, 543, 568, 513, 1134, 2000, 27419, 10278, 585, 21621, 7264, 563, 288, 1447, 1134, 8153, 2481, 538, 590, 785, 327, 779, 808, 4461, 1817, 334, 10588, 568, 1572, 519, 11023, 1177, 520, 12456, 269, 898, 729, 3710, 538, 476, 275, 1296, 543, 568, 4092, 593, 519, 715, 2967, 645, 3757, 5211, 269, 769, 476, 1001, 274, 267, 1306, 604, 18498, 2098, 731, 926, 13166, 8118, 519, 2481, 269, 634, 2481, 814, 513, 476, 5611, 2929, 12945, 11281, 1216, 4859, 4390, 563, 1607, 2481, 5097, 2337, 609, 519, 12555, 540, 7404, 4610, 543, 5713, 607, 513, 17552, 5371, 1858, 585, 17137, 945, 2951, 689, 5754, 1457, 21171, 543, 10127, 25764, 563, 1103, 631, 1014, 28549, 267, 23570, 267, 519, 21601, 531, 630, 24836, 6143, 264, 12456, 568, 4092, 593, 519, 6316, 540, 21601, 531, 9503, 269, 898, 729, 3710, 676, 3703, 8030, 538, 476, 4489, 274, 267, 799, 6941, 1946, 621, 568, 865, 2025, 855, 568, 1869, 513, 6198, 2481, 563, 763, 1858, 568, 536, 23912, 676, 23617, 1031, 585, 8105, 267, 799, 11125, 622, 519, 2244, 269, 898, 814, 2919, 883, 513, 4099, 585, 4955, 7992, 5017, 267, 19788, 6177, 342, 520, 7129, 563, 299, 11343, 593, 519, 5211, 1473, 639, 538, 23570, 267, 519, 932, 1662, 2742, 12456, 568, 2966, 585, 1216, 4859, 543, 1379, 5108, 269, 898, 779, 851, 540, 513, 3677, 1950, 540, 21394, 543, 23668, 563, 294, 327, 21532, 4446, 1054, 320, 10281, 1886, 1077, 5741, 454, 1607, 1788, 568, 593, 519, 1473, 639, 5211, 2282, 5900, 1442, 267, 23570, 269, 898, 568, 835, 540, 519, 4102, 19558, 1077, 3785, 538, 9031, 543, 4249, 513, 1713, 1909, 538, 5201, 5108, 563, 4322, 616, 519, 1713, 21394, 538, 9031, 269, 634, 2197, 814, 1082, 824, 4130, 21394, 267, 3046, 571, 2471, 267, 543, 23854, 602, 15217, 1404, 2629, 5107, 538, 5883, 1216, 2200, 267, 6683, 267, 543, 5201, 2504, 269, 898, 779, 1271, 547, 4063, 602, 519, 1297, 543, 4567, 540, 21394, 949, 1689, 1813, 547, 5571, 4070, 3785, 543, 2229, 7341, 269, 1280, 519, 1034, 909, 3562, 15082, 543, 3102, 1344, 267, 621, 779, 19624, 547, 3277, 547, 4013, 2959, 610, 2487, 5359, 593, 9031, 779, 1216, 5989, 269, 0, 268, 6215, 1938, 281, 476, 279, 454, 306, 27542, 12071, 1890, 634, 11359, 3693, 540, 519, 476, 277, 1341, 476, 272, 5675, 3004, 1080, 454, 1432, 568, 4845, 21711, 286, 1284, 782, 917, 1018, 513, 4845, 568, 269, 9406, 286, 562, 12071, 1890, 568, 950, 1945, 7575, 609, 5347, 1145, 543, 8897, 269, 562, 22054, 266, 31880, 1890, 284, 562, 29941, 602, 2095, 12347, 1927, 269, 562, 454, 24868, 1214, 568, 1434, 256, 7352, 1214, 1107, 1114, 5686, 543, 2338, 540, 1919, 269, 562, 7352, 1214, 538, 4845, 21711, 568, 513, 1297, 540, 1114, 13080, 267, 20297, 267, 543, 5686, 540, 5220, 269, 562, 12315, 606, 1383, 540, 1945, 609, 513, 2603, 540, 3099, 563, 299, 9975, 562, 2422, 1114, 4845, 13080, 269, 562, 1279, 543, 12701, 344, 5220, 562, 589, 1279, 942, 3516, 267, 693, 8285, 942, 267, 1169, 1032, 1250, 2898, 1920, 1131, 979, 782, 519, 1259, 1524, 547, 12548, 547, 979, 547, 31225, 4911, 773, 779, 2777, 269, 562, 2110, 543, 2879, 7026, 5220, 562, 5272, 8285, 649, 1185, 513, 1390, 942, 563, 306, 27542, 23548, 25751, 562, 3399, 5220, 609, 513, 3099, 540, 20297, 562, 562, 594, 993, 2731, 6126, 547, 581, 707, 4116, 269, 594, 4126, 649, 723, 1187, 713, 1032, 269, 594, 786, 4001, 596, 1082, 1007, 1919, 269, 594, 993, 6126, 596, 616, 538, 1250, 1362, 269, 1215, 1131, 596, 1689, 713, 5037, 286, 562, 594, 993, 4278, 2683, 547, 581, 707, 4116, 269, 901, 1032, 786, 581, 2407, 540, 1187, 543, 1565, 269, 898, 568, 3078, 547, 723, 596, 538, 1250, 1362, 563, 30747, 338, 540, 29941, 562, 1703, 616, 1114, 5686, 540, 5220, 269, 562, 2241, 1107, 835, 4830, 2219, 562, 562, 7623, 1107, 1079, 610, 811, 2241, 5220, 562, 562, 1684, 16933, 2661, 538, 519, 2749, 286, 608, 743, 600, 2218, 910, 608, 17474, 562, 562, 595, 3298, 543, 5243, 1810, 1406, 1205, 2059, 269, 23827, 2510, 1107, 2243, 562, 562, 634, 10800, 22655, 6371, 543, 4779, 657, 693, 519, 2915, 269, 3616, 541, 894, 1107, 3948, 562, 562, 589, 10800, 22655, 6371, 269, 594, 993, 865, 9599, 827, 7487, 513, 10800, 256, 16122, 1107, 4971, 562, 5213, 1406, 3049, 519, 16933, 538, 713, 27892, 563, 306, 27542, 12071, 1890, 3367, 707, 1603, 16965, 543, 6432, 547, 621, 779, 11733, 269, 562, 562, 1684, 596, 946, 513, 3099, 540, 4845, 13080, 286, 1684, 596, 946, 1114, 4845, 20297, 286, 3657, 972, 1114, 5686, 540, 5220, 538, 707, 1603, 286, 1306, 596, 2095, 1524, 519, 5757, 540, 707, 1603, 267, 568, 621, 14299, 6853, 543, 11315, 610, 1281, 621, 2095, 538, 513, 2067, 11733, 888, 12988, 547, 5680, 8525, 5990, 13673, 291, 0, 32381, 540, 2436, 596, 2461, 513, 3978, 2875, 540, 1893, 610, 711, 267, 1565, 5824, 666, 948, 596, 538, 811, 2081, 982, 454, 9767, 666, 4952, 269, 634, 1034, 1271, 835, 1373, 602, 1034, 540, 519, 2564, 267, 3656, 267, 543, 1256, 22257, 3822, 1031, 454, 339, 3736, 568, 1759, 593, 5824, 269, 1924, 267, 952, 596, 2461, 18481, 8036, 538, 6340, 543, 1620, 5824, 267, 596, 4076, 2907, 454, 25969, 3368, 540, 891, 27964, 1510, 1256, 1483, 2358, 563, 6597, 3539, 5824, 11414, 596, 811, 982, 1175, 519, 1893, 3294, 269, 5502, 267, 621, 3947, 596, 606, 5813, 883, 519, 454, 1782, 340, 2065, 5072, 540, 519, 2296, 1893, 543, 538, 1529, 322, 919, 2565, 3206, 1983, 269, 901, 568, 513, 1713, 5413, 454, 1721, 596, 1100, 2339, 1018, 2470, 540, 960, 596, 3442, 269, 4804, 5824, 568, 606, 7533, 851, 540, 1620, 8106, 454, 322, 2753, 5314, 269, 1280, 2540, 1310, 2540, 267, 519, 4529, 543, 4654, 602, 7960, 723, 6854, 741, 5824, 5072, 607, 649, 454, 560, 650, 1294, 865, 10423, 569, 2221, 269, 19932, 971, 607, 27272, 543, 5824, 7471, 547, 1106, 1018, 568, 1634, 607, 2296, 454, 31142, 849, 18549, 10607, 707, 1983, 538, 2296, 2094, 1079, 22188, 540, 519, 2296, 1893, 568, 6508, 689, 454, 31142, 269, 1452, 1983, 786, 6961, 30883, 24207, 585, 596, 267, 2436, 596, 2461, 1603, 707, 5098, 610, 26004, 909, 513, 3656, 454, 2254, 823, 585, 5480, 269, 769, 1249, 267, 621, 814, 1044, 4080, 602, 1004, 945, 1491, 5824, 998, 741, 15938, 2090, 454, 16557, 930, 540, 519, 5207, 17263, 2798, 538, 519, 700, 306, 2969, 306, 269 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1419, 17814, 607, 3532, 543, 8797, 5515, 945, 666, 13861, 4641, 998, 741, 28542, 543, 1651, 656, 725, 563, 3080, 540, 519, 1713, 3604, 1063, 31783, 543, 530, 19123, 787, 568, 519, 4008, 540, 519, 19995, 269, 654, 9662, 616, 3335, 17814, 607, 4775, 1247, 530, 23275, 616, 6719, 607, 5256, 269, 1717, 267, 713, 568, 711, 2141, 519, 2013, 267, 543, 972, 616, 8320, 1141, 1312, 25469, 616, 5219, 547, 607, 26734, 610, 530, 23275, 563, 5194, 3017, 568, 519, 1826, 540, 9059, 1031, 676, 519, 19995, 269, 2755, 1312, 946, 9059, 267, 789, 8428, 538, 741, 1935, 269, 654, 9662, 616, 1419, 2404, 609, 2067, 9059, 267, 543, 741, 2259, 3322, 8220, 609, 519, 16750, 1158, 543, 1210, 11922, 267, 14848, 267, 543, 824, 2067, 3615, 547, 5641, 28542, 269, 654, 23275, 267, 593, 519, 824, 1688, 267, 616, 811, 5059, 593, 7214, 9059, 267, 1210, 741, 1702, 543, 1620, 540, 519, 7122, 547, 13861, 9589, 1648, 563, 763, 2645, 1031, 676, 26734, 543, 530, 23275, 616, 849, 1114, 269, 654, 9662, 1419, 946, 28471, 323, 6425, 267, 2156, 558, 560, 6506, 267, 543, 530, 1343, 538, 741, 2259, 269, 1452, 3615, 616, 2356, 2404, 609, 2067, 9059, 543, 616, 1031, 547, 8756, 1648, 269, 654, 23275, 267, 593, 519, 824, 1688, 267, 946, 530, 1343, 543, 5234, 338, 547, 1445, 741, 9589, 1379, 563, 763, 1259, 26734, 543, 530, 23275, 616, 17814, 538, 2442, 2528, 568, 849, 2189, 269, 654, 9662, 616, 1419, 13269, 607, 524, 871, 1782, 2021, 609, 1448, 344, 22970, 267, 554, 3291, 1194, 936, 513, 28471, 323, 1258, 269, 1358, 616, 1419, 3254, 607, 1373, 9409, 610, 29144, 269, 654, 23275, 267, 593, 519, 824, 1688, 267, 616, 26060, 585, 741, 7326, 543, 1379, 269, 1358, 616, 1419, 17814, 607, 2025, 2367, 609, 1279, 581, 1841, 267, 16213, 28542, 543, 2870, 9059, 563, 1103, 3932, 267, 1247, 26734, 543, 530, 23275, 949, 3100, 2147, 693, 1101, 16145, 267, 789, 616, 267, 538, 1249, 267, 1360, 1114, 269, 654, 9662, 616, 1419, 2404, 609, 2470, 267, 946, 2067, 9059, 267, 543, 616, 2356, 4775, 269, 654, 23275, 267, 593, 519, 824, 1688, 267, 946, 7214, 9059, 267, 616, 2808, 8797, 543, 3532, 267, 543, 616, 2356, 5256, 269, 4197, 891, 3604, 666, 948, 721, 1732, 5660, 519, 9589, 543, 25386, 1158, 602, 27788, 721, 563, 21292, 281, 654, 3558, 267, 654, 19123, 267, 18903, 267, 29813, 1356, 344, 267, 1975, 20635, 267, 7849, 18903, 267, 25827, 18903, 267, 595, 4954, 323, 1258, 267, 645, 3336, 22496, 267, 654, 663, 267, 16065, 267, 7377, 9177, 269, 0, 8794, 519, 2479, 1790, 641, 983, 13845, 334, 1915, 267, 9167, 268, 5308, 11190, 630, 1492, 3864, 10837, 585, 8881, 543, 2657, 693, 4518, 1070, 1927, 609, 519, 13845, 334, 3117, 24832, 267, 814, 25282, 513, 3126, 540, 17163, 3106, 543, 1072, 630, 5308, 295, 264, 4245, 585, 3610, 267, 6322, 693, 10962, 3106, 543, 1072, 3584, 547, 3119, 1153, 1053, 538, 606, 3872, 267, 2943, 1187, 543, 19511, 1259, 1210, 13845, 334, 3381, 24056, 563, 2690, 1142, 3992, 267, 3989, 1472, 513, 2582, 13845, 334, 4670, 270, 2675, 2940, 267, 1565, 6859, 616, 13890, 267, 543, 3610, 723, 519, 4781, 540, 1585, 2238, 543, 616, 3177, 609, 519, 2200, 2838, 267, 607, 1134, 607, 930, 2093, 585, 875, 547, 2708, 519, 1053, 685, 2773, 269, 634, 4245, 616, 2966, 547, 581, 8465, 267, 547, 3514, 7258, 543, 12927, 1699, 6437, 5396, 267, 543, 547, 4217, 3610, 543, 1053, 538, 1362, 563, 25583, 540, 4065, 281, 3427, 454, 22117, 25944, 281, 9167, 268, 5308, 11190 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 3953, 799, 540, 519, 1739, 6898, 568, 711, 2953, 513, 538, 8051, 519, 2165, 9889, 1309, 476, 25396, 4198, 272, 454, 3953, 269, 6904, 540, 519, 1739, 6898, 568, 711, 2953, 888, 288, 269, 769, 8051, 267, 519, 2165, 968, 322, 1662, 892, 2882, 11974, 267, 2724, 9753, 267, 543, 7482, 593, 16005, 538, 513, 4871, 607, 1134, 607, 9304, 543, 11113, 563, 289, 269, 634, 6666, 11578, 6169, 568, 1031, 547, 4283, 519, 6666, 6455, 543, 6455, 3454, 538, 519, 6666, 2256, 328, 14186, 4760, 563, 290, 269, 634, 7127, 547, 2594, 519, 2256, 18967, 540, 513, 1596, 1170, 800, 4063, 547, 5372, 606, 1930, 2272, 568, 6592, 538, 519, 6666, 2256, 328, 14186, 4760, 563, 291, 269, 634, 6666, 2256, 328, 14186, 4760, 814, 5094, 9587, 585, 3181, 1080, 547, 22418, 267, 17099, 547, 32439, 25547, 22133, 267, 543, 17099, 547, 19833, 543, 19833, 12525, 9796, 762, 563, 3451, 269, 589, 6666, 9042, 540, 25584, 1131, 581, 6592, 538, 454, 288, 269, 519, 6455, 4760, 563, 289, 269, 519, 2489, 4760, 563, 290, 269, 519, 6666, 2256, 328, 14186, 4760, 563, 291, 269, 519, 6666, 11033, 4760, 563, 4097, 269, 16270, 4015, 540, 519, 2179, 1813, 593, 606, 1719, 24481, 1596, 1170, 800, 4063, 689, 513, 6075, 267, 519, 2272, 656, 1131, 32259, 22418, 267, 5491, 11872, 25547, 22133, 267, 543, 454, 288, 269, 32259, 9314, 5890, 1619, 563, 289, 269, 5491, 9314, 20677, 563, 290, 269, 5491, 9314, 5890, 1619, 563, 291, 269, 32259, 9314, 20677, 563, 3374, 269, 634, 7127, 547, 2594, 606, 3606, 6666, 5092, 676, 519, 8227, 568, 6592, 538, 454, 288, 269, 519, 6666, 11033, 4760, 563, 289, 269, 519, 6666, 2256, 328, 14186, 4760, 563, 290, 269, 519, 2489, 4760, 563, 291, 269, 519, 16306, 4760, 563, 3607, 269, 23894, 9116, 3213, 269, 4421, 25584, 593, 2272, 585, 1269, 1015, 267, 7785, 267, 2474, 476, 273, 270, 1015, 267, 562, 270, 1789, 269, 6154, 697, 10997, 540, 1269, 7742, 941, 3341, 4660, 676, 519, 22673, 543, 3773, 547, 519, 1045, 4069, 269, 634, 6075, 8120, 1269, 8517, 540, 25584, 1354, 1818, 519, 8569, 1287, 6976, 519, 1045, 4069, 1369, 519, 10958, 1974, 269, 1548, 568, 519, 2179, 23894, 9116, 3213, 269, 4607, 888, 4391, 269, 8585, 577, 663, 1047, 568, 4421, 585, 1269, 279, 267, 279, 736, 267, 2474, 476, 272, 270, 1015, 267, 562, 270, 1789, 269, 13405, 547, 8569, 267, 519, 6075, 8120, 1269, 28794, 540, 519, 25584, 269, 1403, 519, 1045, 4069, 568, 6976, 1369, 519, 10958, 1974, 519, 2179, 540, 519, 6455, 10958, 568, 912, 4343, 269, 6904, 540, 519, 1739, 6898, 568, 2953, 888, 288, 269, 634, 7127, 547, 2594, 519, 8569, 540, 606, 1045, 4069, 1369, 519, 6666, 10958, 1974, 1131, 1331, 513, 32259, 547, 519, 623, 3420, 1162, 5494, 870, 338, 2272, 563, 289, 269, 1677, 2594, 513, 6666, 6718, 540, 25584, 267, 519, 2272, 656, 1131, 32259, 623, 3420, 1162, 543, 5491, 22418, 563, 290, 269, 589, 11834, 602, 568, 5265, 6592, 538, 519, 6666, 11033, 4760, 786, 2141, 1331, 519, 10916, 540, 606, 2179, 538, 519, 22418, 1546, 4226, 6241, 563, 291, 269, 27619, 28774, 568, 513, 15333, 8907, 2272, 563, 4375, 269, 1677, 2594, 519, 8569, 540, 513, 6718, 1045, 4069, 950, 513, 6666, 10958, 568, 3144, 267, 519, 2272, 656, 1131, 454, 288, 269, 32259, 32439, 9796, 762, 267, 5491, 623, 3420, 1162, 5494, 870, 338, 267, 543, 5491, 22418, 563, 289, 269, 32259, 32439, 9796, 762, 267, 32259, 623, 3420, 1162, 5494, 870, 338, 267, 543, 5491, 22418, 563, 290, 269, 32259, 32439, 9796, 762, 543, 5491, 22418, 563, 291, 269, 32259, 623, 3420, 1162, 267, 5491, 623, 3420, 1162, 5494, 870, 338, 267, 543, 5491, 22418, 563, 2412, 269, 8585, 577, 663, 1047, 28428, 1269, 276, 267, 7785, 609, 2474, 540, 476, 272, 270, 1015, 267, 562, 270, 1789, 267, 609, 6283, 3790, 540, 1269, 17168, 3769, 593, 519, 1045, 4069, 630, 2254, 3769, 538, 519, 1269, 276, 267, 7785, 264, 568, 4421, 593, 2272, 269, 1403, 519, 3915, 568, 6976, 1369, 4557, 2395, 267, 519, 2179, 540, 519, 6718, 10958, 568, 563, 6078, 269, 634, 7127, 547, 25579, 880, 513, 4620, 1399, 6666, 2508, 2882, 454, 288, 269, 513, 32259, 547, 22418, 543, 513, 5491, 547, 8891, 1399, 22418, 563, 289, 269, 513, 32259, 547, 8891, 1399, 22418, 8750, 543, 513, 5491, 547, 22418, 563, 290, 269, 3181, 1080, 547, 1585, 13258, 6589, 543, 513, 5491, 547, 8891, 1399, 22418, 8750, 563, 291, 269, 3181, 1080, 547, 1585, 13258, 6589, 543, 513, 5491, 547, 22418, 269, 0, 295, 650, 781, 6151, 2592, 6655, 519, 2621, 13269, 3927, 563, 294, 867, 10830, 24025, 1010, 3308, 543, 5339, 15421, 547, 2995, 519, 1650, 540, 705, 13092, 1272, 2094, 519, 12625, 540, 17417, 538, 519, 5375, 25955, 538, 476, 14983, 273, 2807, 476, 4335, 13012, 540, 18650, 454, 338, 1075, 12923, 607, 513, 12050, 29194, 593, 19525, 543, 922, 20807, 532, 9371, 2221, 563, 1700, 1607, 18225, 634, 476, 4335, 13012, 540, 18650, 1290, 545, 3883, 454, 529, 513, 24182, 269, 8550, 1354, 723, 594, 2097, 2066, 513, 1875, 27395, 8642, 3209, 5827, 540, 859, 3183, 971, 513, 3532, 3929, 3210, 269, 1546, 2718, 609, 971, 3584, 607, 21393, 267, 15746, 543, 21939, 519, 13371, 568, 2386, 547, 2014, 17140, 543, 18354, 538, 519, 5467, 269, 2311, 519, 1482, 942, 267, 476, 4335, 13012, 540, 18650, 454, 529, 31369, 543, 16779, 267, 8308, 18995, 519, 4222, 543, 28665, 540, 7111, 21847, 269, 717, 867, 781, 3551, 1935, 547, 1603, 13745, 609, 1010, 11599, 12383, 814, 2813, 513, 5963, 14262, 13371, 1433, 269, 0, 1432, 616, 519, 476, 274, 2596, 3896, 3889, 286, 589, 1134, 3613, 19099, 3896, 568, 2565, 585, 1967, 538, 2221, 779, 3059, 1158, 269, 634, 2497, 540, 513, 3896, 4016, 547, 875, 922, 3817, 543, 1543, 616, 22555, 543, 5532, 269, 898, 8060, 875, 1004, 6330, 519, 3135, 607, 1134, 607, 875, 3406, 9817, 4994, 543, 7584, 519, 1344, 269, 1703, 616, 824, 3896, 25121, 267, 855, 713, 2376, 786, 13404, 593, 519, 1614, 1034, 1455, 281, 21712, 267, 18615, 267, 543, 5119, 269, 1280, 3896, 1374, 1294, 713, 2376, 563, 295, 1512, 1105, 673, 19534, 12856, 454, 763, 1034, 2442, 543, 16022, 3896, 2497, 568, 519, 21712, 2497, 269, 634, 1543, 568, 22555, 538, 513, 3529, 6438, 2497, 267, 609, 519, 1292, 3135, 693, 519, 1283, 267, 4553, 676, 3119, 6810, 267, 1016, 21827, 267, 543, 1367, 3817, 269, 901, 11768, 20964, 513, 2312, 15796, 543, 6087, 1004, 547, 3274, 2263, 519, 3896, 563, 763, 946, 540, 20927, 16776, 971, 607, 554, 272, 285, 267, 554, 273, 285, 267, 543, 554, 274, 285, 568, 2565, 538, 9591, 513, 21712, 2497, 269, 5221, 621, 6920, 519, 5207, 1377, 540, 2956, 267, 519, 554, 272, 285, 11090, 1058, 581, 1031, 585, 519, 3119, 2140, 610, 519, 3896, 779, 20446, 269, 8791, 10643, 616, 30149, 609, 554, 273, 285, 16776, 267, 1247, 1016, 21827, 3330, 1346, 6810, 616, 30149, 609, 554, 274, 285, 16776, 563, 26794, 540, 28762, 1105, 673, 12856, 454, 763, 16134, 540, 513, 21712, 2497, 568, 835, 540, 922, 3119, 5383, 269, 20305, 666, 5612, 9787, 519, 3896, 779, 2497, 543, 12398, 519, 1344, 789, 2154, 269, 898, 849, 11226, 3406, 9817, 538, 26762, 519, 11768, 540, 519, 3135, 543, 20823, 621, 14013, 269, 5015, 267, 676, 3850, 1007, 3817, 547, 581, 3362, 3773, 547, 4540, 2694, 267, 513, 21712, 2497, 7028, 2104, 7269, 543, 25382, 563, 7078, 540, 28762, 1105, 673, 12856, 454, 13706, 519, 1739, 1383, 540, 513, 3434, 2044, 3896, 269, 634, 1753, 2457, 779, 554, 272, 285, 11090, 949, 581, 968, 22013, 5534, 31204, 2223, 1129, 4328, 519, 1292, 2140, 269, 634, 1292, 13980, 1522, 581, 31002, 968, 7343, 564, 23924, 2223, 968, 14611, 20043, 2223, 543, 968, 291, 17143, 338, 2223, 609, 554, 273, 285, 16776, 585, 1142, 269, 4427, 21827, 971, 607, 968, 309, 1122, 564, 4115, 2223, 968, 5353, 2378, 797, 2223, 543, 968, 9288, 520, 892, 666, 581, 31002, 609, 554, 274, 285, 16776, 896, 519, 968, 14611, 20043, 892, 3296, 563, 306, 3225, 1113, 19534, 12856, 454, 763, 18615, 2497, 267, 849, 1634, 607, 519, 5276, 2497, 267, 1418, 2478, 1543, 538, 513, 5276, 6752, 269, 898, 568, 4922, 1031, 585, 9423, 267, 15872, 267, 610, 824, 1543, 602, 1058, 581, 12842, 18615, 569, 269, 20305, 2951, 998, 519, 3896, 676, 1739, 513, 24441, 2619, 538, 713, 5943, 563, 4407, 972, 568, 1100, 9395, 15796, 538, 519, 18615, 11768, 267, 519, 6165, 540, 20927, 16776, 1869, 5713, 547, 15652, 543, 1418, 1047, 519, 1344, 269, 554, 272, 285, 16776, 616, 3335, 1031, 585, 519, 2985, 779, 3119, 2140, 267, 1247, 554, 273, 285, 543, 554, 274, 285, 16776, 666, 581, 1031, 547, 7941, 519, 1570, 883, 2694, 543, 1016, 21827, 563, 26794, 540, 14938, 1113, 12856, 454, 763, 18615, 2497, 5012, 3755, 998, 513, 30966, 2619, 267, 4180, 602, 519, 1543, 568, 10057, 538, 519, 2953, 5311, 269, 901, 5943, 666, 581, 1031, 547, 1711, 4277, 6386, 610, 1900, 8386, 9912, 4245, 269, 898, 849, 6087, 2653, 5464, 543, 2079, 540, 3593, 3356, 676, 9477, 1141, 3755, 6749, 1055, 610, 4497, 519, 1034, 563, 7078, 540, 14938, 1113, 12856, 454, 13706, 513, 3896, 602, 2488, 513, 9488, 2228, 10344, 2069, 269, 634, 2985, 779, 1292, 2140, 267, 20922, 676, 519, 554, 272, 285, 11090, 267, 949, 581, 968, 22913, 532, 22878, 281, 3245, 10670, 1676, 547, 1160, 1848, 3962, 3992, 610, 9074, 538, 519, 1576, 949, 581, 4857, 676, 554, 273, 285, 16776, 267, 1247, 1016, 21827, 1369, 1142, 3992, 1522, 581, 4857, 676, 554, 274, 285, 16776, 563, 30467, 19534, 12856, 454, 763, 5119, 2497, 267, 1419, 1634, 607, 519, 7470, 2497, 267, 1418, 2478, 1543, 1759, 593, 513, 3099, 540, 6688, 610, 7907, 269, 898, 6087, 3755, 547, 2263, 998, 1082, 7516, 540, 1543, 693, 519, 1482, 942, 269, 901, 11768, 568, 4749, 1031, 585, 7270, 602, 2709, 513, 2647, 2039, 540, 2472, 267, 2533, 267, 610, 1344, 609, 1896, 7907, 610, 6688, 563, 4407, 519, 5119, 3898, 1281, 711, 7048, 3648, 593, 20927, 16776, 585, 12445, 267, 789, 666, 1869, 581, 3730, 538, 3246, 9355, 543, 2497, 1369, 1142, 7121, 269, 1280, 1383, 267, 554, 272, 285, 16776, 666, 581, 1031, 585, 519, 2985, 779, 3119, 2140, 267, 15029, 554, 273, 285, 543, 554, 274, 285, 16776, 1522, 581, 1031, 547, 5031, 1367, 6810, 543, 23658, 20975, 3330, 519, 5119, 269, 4179, 2517, 325, 5109, 339, 871, 548, 1343, 6269, 15533, 2593, 270, 8127, 7146, 2389, 871, 548, 6879, 641, 13045, 26794, 540, 19336, 12856, 454, 763, 5119, 3898, 6087, 3755, 547, 1353, 1543, 689, 2789, 7285, 693, 519, 1482, 942, 269, 898, 3091, 513, 9488, 2070, 540, 519, 2139, 3681, 543, 2636, 3755, 547, 6882, 543, 13217, 741, 3406, 1759, 593, 513, 3099, 540, 7355, 269, 901, 11768, 568, 1360, 5078, 585, 552, 19645, 7270, 267, 1463, 1559, 267, 610, 12240, 1141, 8436, 1590, 5635, 543, 2708, 1896, 7399, 563, 7078, 540, 19336, 12856, 454, 13706, 513, 3896, 602, 23619, 513, 3099, 540, 5907, 3457, 269, 634, 2985, 779, 1292, 2140, 267, 20386, 538, 519, 554, 272, 285, 11090, 267, 949, 581, 968, 16978, 16361, 8111, 32697, 1848, 634, 5119, 2497, 1223, 581, 1031, 547, 19665, 2472, 1759, 593, 10305, 971, 607, 6216, 267, 1826, 267, 543, 3902, 2039, 269, 3962, 7121, 1223, 581, 31002, 609, 554, 273, 285, 16776, 267, 609, 1808, 23658, 20975, 6825, 676, 554, 274, 285, 16776, 563, 2690, 1383, 267, 896, 519, 968, 289, 8681, 892, 7121, 267, 596, 949, 1374, 622, 1016, 21827, 971, 607, 968, 7343, 548, 2223, 968, 306, 4461, 2426, 2223, 543, 968, 306, 3415, 892, 609, 554, 274, 285, 16776, 269, 10738, 1142, 6216, 267, 2472, 666, 581, 2417, 9286, 1759, 593, 2186, 267, 971, 607, 16389, 267, 24195, 267, 610, 17960, 563, 24400, 519, 1697, 3896, 2497, 568, 2565, 585, 12419, 513, 5812, 3593, 1995, 543, 5688, 2358, 707, 3135, 585, 3406, 9817, 269, 634, 21712, 11768, 29776, 543, 16881, 12445, 267, 6466, 519, 18615, 2497, 5012, 3755, 1524, 513, 1095, 564, 2619, 269, 634, 5119, 2497, 6087, 17326, 7645, 7634, 543, 6476, 563, 7661, 267, 519, 2497, 540, 707, 3896, 568, 5462, 676, 519, 2470, 540, 707, 1543, 267, 3593, 7375, 267, 543, 519, 3853, 596, 6999, 547, 3035 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 693, 31556, 540, 476, 279, 267, 1822, 3952, 543, 1657, 269, 4658, 945, 5749, 1406, 26224, 547, 891, 15627, 616, 1034, 7925, 269, 0, 1103, 15990, 267, 519, 10847, 540, 519, 10971, 2306, 909, 606, 1271, 851, 540, 519, 2729, 540, 1082, 2757, 4457, 1004, 269, 654, 11208, 568, 2938, 607, 1373, 4105, 585, 513, 18900, 1272, 269, 3807, 607, 835, 1590, 1628, 513, 1434, 2078, 609, 741, 3885, 610, 1071, 22086, 619, 538, 1931, 547, 2661, 25678, 267, 621, 568, 2938, 607, 8449, 1271, 547, 1628, 513, 2078, 609, 519, 2199, 10971, 563, 15650, 540, 654, 11208, 454, 763, 10971, 540, 15990, 616, 10847, 539, 538, 1079, 2081, 269, 634, 1101, 568, 17308, 569, 10847, 269, 901, 1106, 540, 3810, 9161, 2065, 10847, 568, 5340, 676, 28001, 626, 20577, 610, 14418, 26112, 538, 17633, 269, 623, 1845, 339, 569, 10847, 814, 1305, 6299, 7879, 543, 5205, 513, 11706, 269, 901, 1106, 540, 10847, 568, 2944, 593, 15773, 540, 513, 1507, 610, 1804, 1895, 540, 1004, 543, 814, 3376, 1759, 971, 607, 1434, 4365, 585, 3771, 341, 3949, 267, 4708, 1063, 519, 5289, 543, 2067, 10600, 267, 610, 17184, 3666, 269, 898, 949, 581, 2944, 609, 610, 1510, 519, 7589, 540, 1875, 12641, 1458, 267, 4470, 593, 519, 9161, 269, 623, 1845, 339, 569, 10847, 678, 527, 1302, 22842, 519, 4332, 17058, 540, 2101, 10971, 269, 769, 519, 2034, 1106, 267, 4357, 10847, 267, 8723, 1004, 10847, 519, 10971, 2901, 538, 17633, 267, 695, 21218, 267, 610, 538, 741, 5321, 269, 5637, 17308, 569, 543, 4357, 10847, 568, 2944, 585, 519, 19160, 540, 10103, 282, 1272, 3274, 4422, 811, 12347, 950, 1697, 12738, 616, 840, 11526, 269, 1717, 267, 1072, 267, 1870, 1967, 267, 8788, 267, 543, 28738, 344, 630, 2865, 1419, 5256, 264, 616, 1419, 519, 1463, 5301, 540, 4357, 10847, 563, 5522, 2167, 540, 654, 11208, 454, 1103, 15990, 267, 10971, 616, 10847, 539, 538, 1614, 5468, 269, 634, 1101, 1747, 267, 543, 519, 835, 1034, 6654, 547, 519, 3544, 20626, 267, 519, 11454, 269, 4107, 1169, 8498, 610, 2749, 8378, 814, 513, 11454, 269, 2368, 17633, 616, 6131, 547, 513, 1808, 5601, 267, 971, 607, 519, 10348, 12624, 540, 519, 4639, 269, 10705, 267, 891, 17633, 616, 3710, 609, 23190, 1500, 676, 1004, 945, 6999, 547, 23231, 519, 5601, 585, 741, 25736, 269, 4107, 2199, 17633, 2777, 513, 3099, 540, 10971, 543, 10847, 619, 1118, 13668, 540, 8726, 5601, 789, 1589, 666, 1655, 948, 873, 269, 2290, 540, 519, 1034, 4583, 17633, 538, 12872, 701, 328, 568, 519, 7043, 22767, 13527, 269, 20323, 3710, 538, 476, 15876, 279, 676, 17540, 329, 1014, 3150, 20404, 267, 10847, 619, 2097, 689, 782, 936, 547, 9006, 4733, 519, 5458, 18533, 540, 2871, 534, 962, 514, 799, 15068, 519, 9552, 540, 519, 11454, 1282, 24918, 269, 15394, 267, 12563, 17633, 616, 6039, 676, 28001, 626, 20577, 693, 519, 14512, 540, 519, 10971, 3330, 610, 593, 13037, 2395, 269, 654, 11208, 568, 5340, 676, 8781, 1651, 1619, 267, 4259, 1426, 1354, 519, 10971, 267, 543, 6367, 532, 1354, 741, 24112, 269, 9540, 267, 4357, 17633, 666, 849, 581, 1336, 538, 15990, 269, 4595, 1804, 17633, 616, 3710, 538, 4025, 609, 1434, 535, 1263, 695, 14241, 267, 4025, 971, 607, 10239, 267, 543, 2094, 8378, 17633, 3180, 1152, 513, 1906, 10971, 267, 930, 10847, 619, 1745, 519, 991, 547, 946, 891, 4130, 17633, 269, 3509, 540, 891, 616, 2196, 585, 7443, 267, 543, 930, 723, 513, 3983, 10639, 1851, 3978, 10847, 619, 269, 14418, 17633, 1419, 5595, 607, 20708, 625, 543, 18956, 7740, 269, 23897, 1343, 540, 6844, 327, 1235, 979, 593, 31145, 593, 2027, 2395, 711, 1152, 547, 10847, 267, 855, 849, 547, 1199, 10028, 543, 4309, 5289, 6044, 563, 763, 2034, 1034, 1271, 1747, 540, 10847, 568, 519, 1753, 26749, 269, 5272, 2757, 4457, 1753, 814, 606, 26749, 799, 1590, 581, 5116, 538, 513, 1978, 4087, 1759, 593, 519, 535, 1263, 695, 14241, 540, 519, 1753, 269, 19992, 519, 26749, 786, 1419, 581, 5116, 513, 4605, 540, 835, 610, 811, 10971, 610, 513, 6429, 540, 13140, 269, 634, 26749, 3294, 568, 5258, 883, 1079, 2694, 269, 2201, 835, 2427, 568, 5116, 519, 2012, 7515, 540, 1920, 2818, 945, 723, 5747, 269, 634, 824, 2427, 568, 1031, 585, 519, 10847, 540, 519, 10971, 269, 634, 1826, 540, 10847, 5340, 1934, 568, 519, 1482, 607, 602, 5340, 538, 513, 11454, 267, 855, 593, 513, 4130, 4336, 269, 1323, 6827, 832, 616, 711, 2938, 607, 1373, 519, 1482, 607, 10971, 267, 855, 585, 10103, 538, 519, 2713, 1920, 267, 519, 8977, 539, 1590, 581, 25374, 585, 607, 1134, 563, 4537, 21218, 267, 4470, 593, 519, 2450, 267, 949, 3180, 835, 610, 811, 10971, 269, 1358, 616, 1419, 2322, 538, 4025, 1141, 621, 568, 2219, 602, 789, 786, 798, 519, 1034, 1434, 269, 1280, 1383, 267, 1082, 4213, 786, 723, 513, 695, 9068, 3330, 538, 1931, 547, 2087, 741, 6455, 269, 2368, 695, 21218, 616, 2322, 538, 5906, 4025, 585, 519, 4027, 540, 1780, 619, 8386, 269, 901, 5856, 4749, 5293, 676, 513, 1507, 695, 9068, 3710, 883, 513, 7823, 593, 513, 2442, 19482, 13009, 269, 4033, 695, 21218, 616, 5116, 585, 519, 13418, 540, 519, 26902, 23803, 269, 14033, 713, 5830, 1753, 729, 513, 1507, 695, 9068, 799, 1004, 1131, 3247, 693, 267, 6367, 267, 543, 3006, 1769, 1651, 1619, 610, 2628, 513, 2370, 2724, 585, 4420, 1194, 1216, 547, 1747, 1354, 519, 10971, 2529, 659, 1042, 2230, 568, 606, 1271, 851, 540, 1022, 3909, 1062, 269, 769, 1906, 2477, 786, 513, 26902, 23803, 1265, 607, 1082, 3255, 585, 10847, 607, 538, 15990, 269, 2755, 17308, 569, 10847, 568, 606, 1271, 4183, 538, 519, 9161, 2729, 540, 4457, 267, 1142, 1367, 1268, 814, 519, 4316, 547, 1935, 519, 10971, 609, 741, 2115, 563, 295, 10224, 3917, 826, 20568, 267, 28477, 27801, 338, 538, 15990, 0, 763, 1158, 779, 4262, 2666, 568, 4299, 676, 606, 6059, 476, 1691, 2929, 19726, 540, 2890, 680, 10415, 267, 8697, 1524, 689, 519, 6266, 540, 20203, 4947, 883, 519, 12084, 21496, 267, 1759, 593, 5245, 779, 18487, 2257, 2754, 563, 763, 2179, 540, 519, 6263, 5533, 729, 476, 1839, 14026, 2362, 982, 4505, 2199, 2213, 1382, 1185, 8810, 267, 519, 2754, 5018, 267, 10912, 621, 519, 3119, 1158, 7447, 540, 4262, 22286, 3233, 2890, 680, 10415, 563, 12867, 593, 519, 2754, 267, 1419, 1634, 607, 595, 10485, 4629, 267, 1031, 513, 18951, 26747, 547, 5531, 5439, 689, 7270, 607, 1454, 607, 476, 274, 267, 1822, 15432, 630, 280, 267, 25616, 19462, 264, 2620, 267, 1055, 519, 3162, 8241, 5032, 563, 2108, 5978, 2079, 4362, 602, 519, 2620, 5836, 568, 513, 16173, 585, 2890, 680, 10415, 2223, 9030, 2079, 10196, 9324, 1047, 10434, 17965, 5018, 563, 14071, 1185, 1044, 28280, 547, 1413, 693, 7050, 2890, 27415, 7366, 538, 971, 513, 11397, 4087, 3034, 347, 20877, 545, 24152, 519, 2825, 2554, 1042, 566, 540, 519, 12084, 13251, 454, 2421, 1480, 3635, 1496, 290, 13072, 281, 589, 17025, 2639, 763, 3744, 267, 945, 9102, 741, 4681, 538, 9263, 24595, 4760, 13571, 4536, 538, 13149, 3163, 267, 5018, 2127, 609, 3063, 13735, 20203, 3335, 1185, 3063, 2890, 27415, 15998, 593, 519, 5836, 2666, 563, 2108, 5522, 2880, 2011, 5533, 602, 5012, 547, 519, 5836, 14016, 919, 543, 9397, 1524, 267, 10678, 909, 607, 2890, 680, 10415, 2223, 1382, 1291, 3807, 710, 4446, 21884, 5018, 269, 968, 763, 4093, 1459, 2890, 680, 10415, 616, 6157, 29855, 547, 519, 5836, 2666, 3034, 26773, 17965, 5219, 547, 607, 585, 10296, 5163, 547, 3406, 856, 3681, 547, 7286, 5068, 2011, 5533, 267, 799, 5222, 8134, 267, 7320, 543, 1480, 1134, 1373, 563, 2108, 12041, 885, 267, 1870, 543, 519, 1895, 1590, 960, 15217, 547, 14320, 2759, 1394, 519, 7274, 540, 16445, 649, 1294, 7258, 938, 694, 1662, 2803, 543, 538, 938, 12084, 2223, 1352, 5018, 563, 20055, 634, 26337, 6176, 7991, 609, 513, 1507, 21856, 256 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 2511, 563, 268, 2422, 19000, 10035, 3230, 585, 4834, 543, 18889, 585, 5124, 3009, 12612, 269, 3097, 268, 3550, 4570, 19673, 3977, 563, 268, 12305, 543, 1104, 1022, 2556, 8021, 563, 2710, 711, 1331, 513, 2140, 267, 2606, 2453, 610, 2592, 269, 1684, 711, 2491, 2596, 9226, 2035, 899, 3252, 543, 4632, 269, 1684, 711, 946, 16814, 585, 11249, 269, 3503, 519, 1543, 2047, 269, 0, 1012, 4197, 30142, 1431, 543, 15585, 725, 538, 476, 274, 291, 6611, 692, 1103, 519, 1483, 1158, 267, 649, 1419, 991, 547, 1174, 519, 2990, 543, 10066, 540, 3615, 538, 1614, 8820, 2230, 269, 1280, 1383, 267, 4952, 513, 20473, 10760, 538, 519, 6607, 269, 1677, 6330, 543, 2057, 9465, 267, 519, 20473, 2115, 547, 917, 922, 2990, 543, 10066, 269, 6684, 267, 538, 2780, 12449, 543, 17562, 267, 649, 991, 547, 1174, 519, 2990, 543, 10066, 540, 3615, 547, 1711, 10853, 13502, 543, 1852, 11608, 780, 1103, 713, 1770, 267, 649, 786, 1451, 875, 547, 2099, 543, 13861, 519, 2990, 543, 10066, 540, 3615, 538, 476, 274, 291, 2230, 1210, 5124, 269, 1284, 786, 849, 1451, 875, 547, 5173, 519, 6959, 538, 2990, 543, 10066, 1063, 1079, 1114, 11269, 540, 519, 1482, 1843, 780, 2162, 11724, 532, 30142, 1431, 538, 476, 274, 291, 6611, 692, 1103, 476, 274, 291, 2230, 267, 513, 2990, 666, 581, 6719, 1210, 1614, 10974, 281, 1535, 267, 586, 267, 543, 1990, 269, 1452, 10974, 2099, 519, 3845, 540, 519, 1843, 689, 519, 5169, 630, 271, 267, 271, 267, 271, 264, 2059, 519, 1535, 267, 586, 267, 543, 1990, 17887, 267, 6606, 269, 769, 5124, 267, 649, 666, 2099, 513, 2990, 1210, 513, 1592, 610, 24042, 540, 1614, 2338, 269, 1280, 1383, 267, 519, 2990, 540, 513, 1448, 623, 666, 581, 6719, 607, 912, 3499, 7090, 454, 303, 815, 1496, 272, 267, 476, 273, 267, 476, 274, 2639, 8199, 1607, 1797, 602, 519, 1448, 623, 568, 4092, 693, 513, 3845, 540, 476, 272, 1770, 2059, 519, 1535, 14289, 267, 476, 273, 4559, 2059, 519, 586, 14289, 267, 543, 476, 274, 4559, 2059, 519, 1990, 14289, 780, 2162, 11724, 532, 15585, 725, 538, 476, 274, 291, 6611, 692, 1103, 1840, 547, 2990, 267, 649, 849, 991, 547, 2099, 519, 10066, 540, 3615, 538, 476, 274, 291, 2230, 269, 634, 10066, 540, 606, 1843, 568, 6719, 1210, 513, 10047, 5119, 269, 589, 10047, 5119, 568, 513, 476, 274, 343, 274, 5119, 602, 6257, 875, 547, 17967, 606, 1843, 1472, 519, 1535, 267, 586, 267, 543, 1990, 17887, 269, 1280, 1383, 267, 519, 1739, 10047, 5119, 4564, 513, 10047, 540, 476, 3445, 5232, 1472, 519, 1990, 14289, 912, 3499, 7090, 454, 305, 815, 20886, 271, 267, 910, 272, 267, 476, 271, 16689, 672, 1496, 272, 267, 476, 271, 267, 476, 271, 16689, 672, 1496, 271, 267, 476, 271, 267, 476, 272, 27663, 8199, 1607, 1797, 602, 952, 649, 4019, 713, 10047, 5119, 547, 513, 1448, 623, 267, 519, 4611, 1448, 623, 262, 786, 581, 29352, 476, 3445, 5232, 1472, 519, 1990, 14289, 780, 2162, 29626, 19024, 8210, 5558, 692, 3086, 602, 649, 917, 875, 547, 2099, 7158, 543, 32186, 538, 476, 274, 291, 2230, 267, 649, 666, 1451, 875, 547, 5173, 519, 6959, 538, 2990, 543, 10066, 1063, 1079, 1114, 11269, 540, 519, 1482, 1843, 780, 5575, 267, 1577, 781, 2015, 519, 2990, 6959, 269, 14597, 649, 723, 1079, 11269, 540, 519, 1482, 1843, 267, 1572, 2387, 10915, 2397, 319, 543, 2387, 322, 663, 28371, 18269, 3962, 6041, 3568, 513, 1305, 540, 15833, 267, 799, 616, 476, 274, 291, 7158, 540, 519, 1843, 693, 1114, 2053, 269, 1284, 1616, 547, 5173, 519, 6959, 538, 2990, 1063, 519, 2387, 10915, 2397, 319, 543, 2387, 322, 663, 28371, 319, 15833, 780, 2171, 666, 798, 713, 1210, 519, 1739, 5124, 1599, 912, 3499, 7090, 454, 3698, 2990, 318, 518, 5558, 263, 10915, 2397, 267, 11134, 2187, 825, 1455, 318, 3333, 1824, 815, 1305, 263, 10915, 2397, 11075, 1824, 269, 12399, 3890, 1040, 315, 454, 1038, 10167, 263, 3553, 6262, 663, 28371, 11075, 1824, 269, 12399, 3890, 4917, 825, 6959, 815, 11713, 825, 585, 521, 538, 1455, 318, 3333, 1824, 912, 1038, 10460, 272, 815, 4704, 11075, 1824, 314, 338, 4940, 2821, 10947, 318, 10594, 514, 4590, 1038, 10460, 273, 815, 11134, 11075, 1824, 314, 338, 4940, 2821, 10947, 318, 10594, 514, 4590, 1038, 6959, 6910, 263, 2821, 272, 1790, 846, 273, 994, 825, 2132, 5286, 15126, 263, 518, 5558, 994, 8199, 1607, 1599, 3217, 538, 1079, 11269, 540, 519, 1482, 1843, 267, 2387, 10915, 2397, 319, 543, 2387, 322, 663, 28371, 12452, 543, 7024, 513, 11885, 5044, 540, 2990, 6959, 1063, 519, 1079, 11269, 780, 763, 1599, 1101, 9060, 519, 1455, 15833, 1063, 519, 2387, 10915, 2397, 319, 543, 2387, 322, 663, 28371, 319, 11269, 1210, 519, 2387, 5793, 7611, 319, 1505, 540, 5124, 5036, 269, 898, 1287, 17787, 998, 1142, 1455, 8929, 543, 21410, 519, 2990, 5470, 676, 18946, 519, 2990, 540, 519, 2387, 322, 663, 28371, 319, 8929, 689, 519, 2990, 540, 519, 2387, 10915, 2397, 319, 8929, 269, 634, 2990, 6959, 616, 1287, 6740, 538, 513, 1592, 267, 799, 568, 10736, 547, 513, 11885, 5044, 543, 8120, 780, 2162, 29626, 15585, 566, 8210, 5558, 692, 9202, 267, 1577, 781, 2015, 519, 10047, 6959, 269, 14597, 649, 723, 1079, 11269, 540, 519, 1482, 1843, 267, 1572, 2387, 10915, 2397, 319, 543, 2387, 322, 663, 28371, 18269, 3962, 6041, 3568, 513, 1305, 540, 15833, 267, 799, 616, 476, 274, 291, 7158, 540, 519, 1843, 693, 1114, 2053, 269, 1284, 1616, 547, 5173, 519, 6959, 538, 10066, 1063, 519, 2387, 10915, 2397, 319, 543, 2387, 322, 663, 28371, 319, 15833, 780, 2171, 666, 798, 713, 1210, 519, 1739, 5124, 1599, 912, 3499, 7090, 454, 3698, 10047, 318, 518, 5558, 263, 10915, 2397, 267, 11134, 2187, 825, 1455, 318, 3333, 1824, 815, 1305, 263, 10915, 2397, 11075, 1824, 269, 12399, 3890, 1040, 315, 454, 1038, 10167, 263, 3553, 6262, 663, 28371, 11075, 1824, 269, 12399, 3890, 4917, 825, 6959, 815, 11713, 825, 585, 521, 538, 1455, 318, 3333, 1824, 912, 1038, 10460, 272, 815, 4704, 11075, 1824, 314, 338, 4940, 2821, 10947, 318, 8527, 566, 24624, 4590, 1038, 10460, 273, 815, 11134, 11075, 1824, 314, 338, 4940, 2821, 10947, 318, 8527, 566, 24624, 4590, 1038, 3017, 815, 5286, 6745, 4920, 2821, 263, 2821, 272, 1040, 25346, 263, 2821, 273, 994, 1038, 11425, 3419, 1132, 815, 20956, 273, 10611, 617, 3419, 1132, 5560, 29924, 25011, 271, 4940, 30584, 4590, 1038, 5086, 815, 5286, 7456, 1400, 326, 8542, 768, 263, 16967, 3419, 1132, 994, 1038, 6959, 6910, 263, 4120, 994, 825, 2132, 5286, 15126, 263, 518, 5558, 994, 8199, 1607, 1599, 3217, 538, 1079, 11269, 540, 519, 1482, 1843, 267, 2387, 10915, 2397, 319, 543, 2387, 322, 663, 28371, 12452, 543, 7024, 513, 11885, 5044, 540, 10047, 6959, 1063, 519, 1079, 11269, 780, 763, 1599, 1101, 9060, 519, 1455, 15833, 1063, 519, 2387, 10915, 2397, 319, 543, 2387, 322, 663, 28371, 319, 11269, 1210, 519, 2387, 5793, 7611, 319, 1505, 540, 5124, 5036, 269, 898, 1287, 17787, 998, 1142, 1455, 8929, 543, 21410, 519, 10047, 5470, 676, 1101, 12719, 519, 3017, 1063, 519, 10047, 14290, 540, 519, 2387, 322, 663, 28371, 319, 543, 2387, 10915, 2397, 319, 15833, 269, 634, 3017, 568, 1287, 10736, 547, 513, 10047, 6152, 1210, 519, 2387, 305, 617, 3419, 1132, 319, 1599, 689, 519, 7046, 20302, 5399, 269, 634, 9588, 540, 519, 10047, 6152, 568, 1287, 7229, 1210, 519, 2387, 331, 1400, 326, 8542, 768, 319, 1599, 689, 519, 11885, 5399, 267, 799, 4564, 519, 10047, 5470, 538, 32494, 269, 634, 10047, 6959, 616, 1287, 6740, 538, 513, 1592, 267, 799, 568, 10736, 547, 513, 11885, 5044, 543, 8120, 780, 2162, 10390, 692, 1103, 713, 1770, 267, 649, 4121, 875, 547, 2099, 543, 13861, 519, 2990, 543, 10066, 540, 3615, 538, 476, 274, 291, 2230, 1210, 5124, 269, 1284, 849, 4121, 875, 547, 5173, 519, 6959, 538, 2990, 543, 10066, 1063, 1079, 1114, 11269, 540, 519, 1482, 1843, 269, 1452, 2035, 616, 4909, 547, 1082, 4610, 267, 1519, 2780, 12449, 267, 17562, 267, 543, 2780, 5075, 269, 1635, 1620, 891, 2035, 267, 649, 666, 1711, 811, 10853, 13502, 267, 1852, 11608, 811, 8308, 267, 543, 2087, 519, 2773, 540, 2780, 5075, 6620, 269, 0, 2080, 568, 606, 1349, 689, 513, 9226, 8193, 5850, 281, 3097, 8199, 339, 269, 5471, 20631, 3052, 1186, 318, 6570, 454, 1038, 10460, 273, 815, 8929, 269, 2821, 10947, 318, 10594, 514, 4590, 1038, 6959, 6910, 263, 2821, 272, 1790, 846, 273, 994, 825, 2132, 5286, 15126, 263, 518, 5558, 9239, 3698, 2990, 318, 518, 5558, 263, 10915, 2397, 267, 11134, 2187, 825, 1455, 318, 3333, 1824, 815, 1305, 263, 10915, 2397, 11075, 1824, 269, 12399, 3890, 1040, 315, 454, 1038, 10167, 263, 3553, 6262, 663, 28371, 11075, 1824, 269, 12399, 3890, 4917, 825, 6959, 815, 11713, 825, 585, 521, 538, 1455, 318, 3333, 1824, 912, 1038, 10460, 272, 815, 4704, 11075, 1824, 314, 338, 4940, 2821, 10947, 318, 10594, 514, 4590, 1038, 10460, 273, 815, 11134, 11075, 1824, 314, 338, 4940, 2821, 10947, 318, 10594, 514, 4590, 1038, 6959, 6910, 263, 2821, 272, 1790, 846, 273, 994, 825, 2132, 5286, 15126, 263, 518, 5558, 9239, 3698, 10047, 318, 518, 5558, 263, 10915, 2397, 267, 11134, 2187, 825, 1455, 318, 3333, 1824, 815, 1305, 263, 10915, 2397, 11075, 1824, 269, 12399, 3890, 1040, 315, 454, 1038, 10167, 263, 3553, 6262, 663, 28371, 11075, 1824, 269, 12399, 3890, 4917, 825, 6959, 815, 11713, 825, 585, 521, 538, 1455, 318, 3333, 1824, 912, 1038, 10460, 272, 815, 4704, 11075, 1824, 314, 338, 4940, 2821, 10947, 318, 8527, 566, 24624, 4590, 1038, 10460, 273, 815, 11134, 11075, 1824, 314, 338, 4940, 2821, 10947, 318, 8527, 566, 24624, 4590, 1038, 3017, 815, 5286, 6745, 4920, 2821, 263, 2821, 272, 1040, 25346, 263, 2821, 273, 994, 1038, 11425, 3419, 1132, 815, 20956, 273, 10611, 617, 3419, 1132, 5560, 29924, 25011, 271, 4940, 30584, 4590, 1038, 5086, 815, 5286, 7456, 1400, 326, 8542, 768, 263, 16967, 3419, 1132, 994, 1038, 6959, 6910, 263, 4120, 994, 825, 2132, 5286, 15126, 263, 518, 5558, 994, 8199, 2237, 606, 3573, 543, 2143, 1837, 1770, 609, 19900, 1257, 543, 3009, 12612, 585, 1647, 1153, 1053, 1644, 547, 519, 1349, 1657, 269, 3550, 519, 3137, 616, 3015, 543, 2653, 547, 1174, 676, 1053, 609, 1100, 1991, 1702, 540, 519, 1641, 269, 634, 1837, 1058, 3895, 7744, 543, 20201, 1983, 269, 1684, 711, 1175, 1592, 2035, 267, 855, 1020, 1142, 835, 538, 1469, 1354, 3001, 547, 519, 1985, 267, 607, 649, 4225, 3178, 540, 1620, 543, 3102, 3408, 540, 519, 1641, 2339, 936, 4560, 563, 2521, 547, 912, 268, 3550, 538, 3829, 3795, 540, 519, 2035, 563, 268, 2422, 513, 2239, 2219, 4538, 2511, 563, 268, 2422, 19000, 10035, 3230, 585, 4834, 543, 18889, 585, 5124, 3009, 12612, 269, 3097, 268, 3550, 4570, 19673, 3977, 563, 268, 12305, 543, 1104, 1022, 2556, 8021, 563, 2710, 711, 1331, 513, 2140, 267, 2606, 2453, 610, 2592, 269, 1684, 711, 2491, 2596, 9226, 2035, 899, 3252, 543, 4632, 269, 1684, 711, 946, 16814, 585, 11249, 269, 3503, 519, 1543, 2047, 269, 0, 4065, 8889, 543, 21637, 281, 10435, 12140, 14568, 585, 15526, 2439, 5331, 596, 2811, 693, 1153, 267, 9361, 538, 707, 5172, 1362, 269, 1411, 2972, 1565, 1007, 1919, 543, 2324, 609, 707, 2828, 269, 1809, 1018, 952, 835, 1554, 267, 596, 1397, 909, 547, 1265, 856, 602, 707, 4928, 814, 4957, 286, 9320, 972, 616, 1932, 1082, 3214, 538, 519, 4055, 267, 1818, 621, 2182, 585, 596, 547, 1445, 269, 2107, 5310, 707, 4116, 3085, 1405, 723, 2614, 2200, 547, 4001, 596, 782, 519, 3579, 8631, 596, 1616, 547, 1451, 827, 269, 901, 3510, 3884, 1405, 4998, 267, 1318, 286, 2334, 781, 1946, 649, 991, 2069, 4507, 543, 15024, 1107, 789, 948, 1711, 1732, 3506, 585, 3025, 2439, 3383, 267, 1018, 4010, 1281, 713, 1611, 286, 2913, 781, 2736, 1524, 891, 2462, 1913, 883, 1945, 811, 19242, 269, 1323, 2878, 25531, 3609, 1262, 568, 3274, 513, 1305, 540, 3652, 610, 4808, 2813, 676, 6608, 267, 3906, 267, 610, 1256, 1367, 3506, 269, 1452, 4507, 2832, 547, 2327, 602, 1169, 2875, 4991, 513, 4023, 8929, 693, 8391, 2298, 2069, 269, 2201, 519, 824, 1688, 267, 2878, 25531, 6963, 1262, 4016, 547, 1713, 2242, 1500, 1369, 3872, 1949, 1759, 593, 1346, 4507 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1560, 729, 711, 835, 540, 519, 476, 866, 16626, 689, 519, 16154, 6429, 543, 519, 6142, 2754, 733, 2105, 602, 972, 729, 1100, 2963, 602, 646, 729, 2965, 513, 18213, 593, 519, 8184, 610, 602, 646, 1185, 5747, 269, 2311, 519, 942, 540, 519, 16154, 267, 9796, 928, 729, 8185, 538, 7963, 543, 519, 2754, 10645, 602, 519, 4128, 646, 5795, 585, 1010, 7552, 547, 12968, 565, 21343, 1705, 711, 17854, 519, 13258, 3238, 269, 9796, 928, 729, 606, 8956, 2406, 26809, 13108, 25982, 609, 476, 2420, 1296, 540, 3028, 543, 729, 606, 14885, 1161, 4274, 269, 3571, 30612, 267, 4498, 28625, 9796, 928, 267, 1185, 849, 19429, 513, 1269, 4968, 267, 1822, 3441, 9290, 630, 3225, 20884, 547, 1269, 273, 267, 10384, 267, 1822, 538, 476, 1001, 280, 264, 1996, 7754, 1977, 5794, 1811, 4505, 602, 1032, 267, 543, 17792, 519, 25195, 602, 1200, 9393, 729, 711, 20829, 519, 7077, 950, 621, 4682, 1524, 269, 2701, 19429, 513, 27779, 1996, 519, 6142, 2754, 547, 735, 601, 621, 547, 2628, 1055, 519, 3609, 269, 595, 5723, 22602, 1767, 602, 8047, 6514, 540, 519, 7077, 781, 20739, 1188, 720, 1185, 12199, 856, 519, 7872, 540, 513, 10514, 16411, 540, 1022, 2186, 20829, 519, 8484, 269, 7754, 2549, 22602, 2663, 15861, 602, 789, 1185, 1044, 14236, 9796, 928, 1317, 540, 1010, 2250, 14885, 1161, 1995, 267, 519, 2179, 540, 6142, 12349, 267, 543, 519, 1249, 602, 646, 1185, 12349, 513, 835, 17574, 19044, 547, 12968, 565, 21343, 693, 513, 942, 950, 646, 729, 8185, 538, 7963, 563, 268, 834, 3008, 301, 589, 7878, 8009, 645, 27739, 476, 4391, 278, 31854, 665, 745, 16014, 476, 1015, 1700, 3066, 715, 3445, 280, 4510, 12968, 565, 21343, 267, 31254, 2668, 28645, 8881, 8416, 269, 8158, 476, 278, 4873, 476, 1001, 280, 563, 268, 834, 13328, 4469, 2074, 3399, 4653, 2668, 634, 5842, 12770, 1401, 3133, 518, 269, 476, 2918, 4873, 476, 3707, 278, 269, 533, 269, 476, 2767, 269, 8158, 476, 1704, 4873, 476, 1001, 280, 1107, 3842, 1715, 4944, 3639, 2593, 563, 268, 3751, 267, 22526, 630, 1704, 4873, 476, 1001, 273, 1040, 834, 293, 2391, 18471, 268, 763, 28131, 2060, 7754, 2549, 281, 589, 4873, 476, 1704, 628, 7788, 15208, 2668, 2817, 5398, 15571, 269, 8158, 476, 736, 4873, 476, 1001, 280, 563, 268, 834, 32292, 1977, 2622, 5794, 1811, 1062, 942, 3349, 267, 5239, 476, 2767, 1107, 5437, 476, 1789, 267, 476, 4198, 278, 2668, 2160, 540, 24543, 23905, 7913, 26888, 269, 7754, 1977, 2622, 5794, 1811, 269, 476, 4198, 278, 269, 8158, 476, 1704, 4873, 476, 1001, 280, 563, 268, 834, 5141, 826, 1160, 1407, 8771, 282, 9612, 623, 19813, 585, 476, 4510, 593, 5794, 4802, 518, 2668, 634, 18718, 1633, 17650, 2317, 269, 18718, 1633, 267, 4993, 269, 476, 280, 5437, 476, 4198, 278, 269, 533, 269, 476, 272, 269, 8158, 476, 1691, 4873, 476, 1001, 280, 1107, 3842, 14786, 2593, 563, 268, 834, 288, 7878, 6452, 1211, 7797, 281, 7754, 1977, 2622, 5794, 1811, 267, 5549, 1421, 645, 27739, 476, 4391, 278, 267, 715, 476, 3445, 280, 4510, 267, 769, 519, 7414, 7909, 267, 9737, 12968, 565, 21343, 543, 5842, 12770, 267, 5437, 476, 280, 267, 476, 4198, 278, 2668, 6406, 17224, 517, 2246, 923, 8274, 269, 8158, 476, 278, 4873, 476, 1001, 280, 563, 268, 834, 28775, 674, 3547, 585, 476, 4510, 593, 5794, 4802, 518, 23452, 538, 7414, 2668, 634, 5842, 12770, 1401, 3133, 518, 269, 476, 1015, 5437, 476, 4198, 278, 269, 533, 269, 476, 272, 269, 8158, 476, 278, 4873, 476, 1001, 280, 1107, 3842, 1715, 4944, 3639, 2593, 563, 268, 834, 10111, 8175, 11835, 1231, 5794, 4802, 518, 15391, 282, 11068, 1515, 4112, 8531, 670, 842, 539, 2668, 634, 18718, 1633, 17650, 2317, 269, 18718, 1633, 267, 4993, 269, 476, 1015, 5437, 476, 4198, 278, 269, 533, 269, 476, 272, 269, 8158, 476, 1691, 4873, 476, 1001, 280, 1107, 3842, 14786, 2593, 563, 268, 834, 306, 12171, 11607, 295, 517, 565, 21343, 5794, 4802, 518, 31932, 2060, 476, 4510, 589, 4580, 2668, 634, 5842, 12770, 1401, 3133, 518, 269, 476, 280, 5437, 476, 4198, 278, 269, 533, 269, 476, 272, 269, 8158, 476, 278, 4873, 476, 1001, 280, 1107, 3842, 1715, 4944, 3639, 2593, 563, 268, 22870, 1115, 267, 10793, 630, 1015, 5437, 476, 4198, 278, 1040, 834, 21080, 1467, 8433, 3371, 13201, 570, 1619, 25980, 2668, 634, 5842, 12770, 1401, 3133, 518, 269, 533, 269, 476, 279, 269, 8158, 476, 278, 4873, 476, 1001, 280, 1107, 3842, 1715, 4944, 3639, 2593, 563, 268, 834, 1789, 4643, 525, 16418, 23452, 5794, 4802, 518, 2668, 634, 5842, 12770, 1401, 3133, 518, 269, 476, 1015, 5437, 476, 4198, 278, 269, 533, 269, 476, 274, 269, 8158, 476, 278, 4873, 476, 1001, 280, 1107, 3842, 1715, 4944, 3639, 2593, 563, 268, 2605, 880, 2006, 267, 8355, 630, 1626, 5130, 476, 4198, 279, 1040, 834, 5522, 2033, 25491, 12213, 839, 693, 24651, 6969, 595, 5723, 2668, 634, 5842, 12770, 1401, 3133, 518, 269, 533, 269, 476, 1691, 269, 8158, 476, 278, 4873, 476, 1001, 280, 1107, 3842, 1715, 4944, 3639, 2593, 563, 268, 5839, 4486, 267, 5261, 630, 1556, 5437, 476, 4198, 278, 1040, 834, 14503, 732, 267, 4460, 518, 267, 674, 5593, 590, 5308, 14780, 1047, 5794, 4802, 518, 670, 8554, 2668, 634, 5842, 12770, 1401, 3133, 518, 269, 533, 269, 476, 272, 269, 8158, 476, 278, 4873, 476, 1001, 280, 1107, 3842, 1715, 4944, 3639, 2593, 563, 268, 834, 307, 7773, 11525, 525, 16418, 31932, 1773, 2033, 1849, 1132, 2668, 634, 18718, 1633, 17650, 2317, 269, 18718, 1633, 267, 4993, 269, 476, 1321, 5437, 476, 4198, 278, 269, 533, 269, 476, 272, 269, 8158, 476, 1691, 4873, 476, 1001, 280, 1107, 3842, 14786, 2593, 563, 268, 834, 10111, 8175, 7101, 541, 4643, 525, 15012, 15391, 585, 476, 4510, 2668, 634, 18718, 1633, 17650, 2317, 269, 18718, 1633, 267, 4993, 269, 476, 1556, 5437, 476, 4198, 278, 269, 533, 269, 476, 272, 269, 8158, 476, 1691, 4873, 476, 1001, 280, 1107, 3842, 14786, 2593, 563, 268, 4173, 5287, 267, 13983, 1375, 282, 10783, 523, 9440, 267, 8230, 630, 20464, 476, 1001, 278, 1040, 834, 1432, 19732, 2989, 547, 7754, 2549, 22947, 476, 278, 286, 2668, 5794, 1299, 6611, 18225, 269, 8158, 476, 278, 4873, 476, 1001, 280, 563, 268, 834, 28775, 12846, 4477, 323, 585, 476, 4510, 593, 31932, 1773, 2033, 2668, 634, 5842, 12770, 1401, 3133, 518, 269, 476, 1691, 5437, 476, 4198, 278, 269, 533, 269, 476, 277, 269, 8158, 476, 278, 4873, 476, 1001, 280, 1107, 3842, 1715, 4944, 3639, 2593, 563, 268, 834, 29309, 532, 5794, 4802, 518, 781, 654, 516, 1188, 720, 267, 27607, 645, 3672, 590, 32484, 538, 7414, 2668, 634, 18718, 1633, 17650, 2317, 269, 18718, 1633, 267, 4993, 269, 476, 1691, 5437, 476, 4198, 278, 269, 533, 269, 476, 272, 269, 8158, 476, 1691, 4873, 476, 1001, 280, 1107, 3842, 14786, 2593, 563, 268, 834, 5719, 11421, 962, 3658, 5794, 4802, 518, 9605, 1849, 826, 282, 2859, 645, 3672, 15391, 539, 2668, 634, 18718, 1633, 17650, 2317, 269, 18718, 1633, 267, 4993, 269, 476, 1428, 5437, 476, 4198, 278, 269, 533, 269, 476, 272, 269, 8158, 476, 1691, 4873, 476, 1001, 280, 1107, 3842, 14786, 2593, 563, 268, 834, 1704, 645, 3672, 5853, 538, 5794, 9612, 282, 3143, 6178, 540, 4112, 8531, 2668, 634, 5842, 12770, 1401, 3133, 518, 269, 476, 1428, 5437, 476, 4198, 278, 269, 533, 269, 476, 272, 269, 8158, 476, 278, 4873, 476, 1001, 280, 1107, 3842, 1715, 4944, 3639, 2593, 563, 268, 834, 10111, 8175, 4825, 9506, 2060, 476, 866, 5794, 16458, 2668, 634, 18718, 1633, 17650, 2317, 269, 18718, 1633, 267, 4993, 269, 476, 1626, 5437, 476, 4198, 278, 269, 533, 269, 476, 1015, 269, 8158, 476, 1691, 4873, 476, 1001, 280, 1107, 3842, 14786, 2593, 563, 268, 834, 5522, 2033, 7861, 574, 9612, 661, 2738, 282, 9605, 670, 842, 539, 2668, 634, 5842, 12770, 1401, 3133, 518, 269, 476, 1626, 5437, 476, 4198, 278, 269, 533, 269, 476, 272, 269, 8158, 476, 278, 4873, 476, 1001, 280, 1107, 3842, 1715, 4944, 3639, 2593, 563, 268, 25760, 267, 5261, 18536, 630, 1001, 279, 1040, 8299, 571, 6441, 1618, 589, 7878, 267, 476, 13893, 271, 1700, 3192, 271, 281, 634, 4886, 540, 2871, 653, 344, 543, 30771, 539, 17540, 1088, 720, 3690, 7964, 269, 5062, 293, 541, 1633, 269, 9768, 476, 7818, 15704, 26116, 2004, 274, 271, 563, 268, 834, 3008, 301, 589, 7878, 8009, 645, 27739, 476, 4391, 278, 31854, 665, 745, 16014, 476, 1015, 1700, 2918, 715, 9818, 273, 309, 14822, 267, 7330, 2668, 28645, 8881, 8416, 269, 8158, 476, 2641, 4864, 476, 1001, 280, 563, 268, 834, 306, 3563, 540, 23452, 1773, 2033, 667, 17097, 2668, 634, 5842, 12770, 1401, 3133, 518, 269, 476, 1015, 5437, 476, 4198, 278, 269, 533, 269, 476, 274, 269, 8158, 476, 278, 4873, 476, 1001, 280, 1107, 3842, 1715, 4944, 3639, 2593, 563, 268, 834, 8266, 540, 476, 4510, 2201, 11709, 1639, 31854, 665, 745, 16014, 2668, 634, 18718, 1633, 17650, 2317, 269, 18718, 1633, 267, 4993, 269, 476, 280, 5437, 476, 4198, 278, 269, 533, 269, 476, 1015, 269, 8158, 476, 1691, 4873, 476, 1001, 280, 1107, 3842, 14786, 2593, 563, 268, 5062, 5226, 24513, 267, 1849, 3599, 630, 1015, 5437, 476, 4198, 278, 1040, 834, 24868, 539, 17644, 700, 3293, 476, 3607, 593, 674, 622, 995, 25676, 2668, 634, 5842, 12770, 1401, 3133, 518, 269, 533, 269, 476, 272, 269, 8158, 476, 278, 4873, 476, 1001, 280, 1107, 3842, 1715, 4944, 3639, 2593, 563, 268, 834, 293, 569, 619, 262, 19198, 595, 1782, 532, 547, 16593, 2668, 634, 5842, 12770, 1401, 3133, 518, 269, 476, 1015, 5437, 476, 4198, 278, 269, 533, 269, 476, 274, 269, 8158, 476, 278, 4873, 476, 1001, 280, 1107, 3842, 1715, 4944, 3639, 2593, 563, 268, 834, 21080, 267, 7256, 4880, 19537, 1233, 1280, 23452, 1773, 2033, 2668, 634, 18718, 1633, 17650, 2317, 269, 18718, 1633, 267, 4993, 269, 476, 1724, 5437, 476, 4198, 278, 269, 533, 269, 476, 278, 269, 8158, 476, 1691, 4873, 476, 1001, 280, 1107, 3842, 14786, 2593, 563, 268, 834, 5522, 2033, 9197, 1662, 20226, 674, 2391, 547, 7046, 1160, 2041, 2668, 634, 5842, 12770, 1401, 3133, 518, 269, 476, 1704, 5437, 476, 4198, 278, 269, 533, 269, 476, 274, 269, 8158, 476, 278, 4873, 476, 1001, 280, 1107, 3842, 1715, 4944, 3639, 2593, 563, 268, 834, 293, 5424, 21646, 2697, 476, 275, 5794, 4802, 518, 7861, 15501, 2668, 634, 5842, 12770, 1401, 3133, 518, 269, 4139, 5240, 6796, 269, 476, 866, 5437, 476, 4198, 278, 269, 533, 269, 476, 2641, 269, 8158, 476, 278, 4873, 476, 1001, 280, 1107, 3842, 1715, 4944, 3639, 2593, 563, 268, 834, 5719, 11421, 590, 26661, 585, 5794, 9197, 1662, 1849, 1132, 2668, 634, 5842, 12770, 1401, 3133, 518, 269, 476, 736, 5437, 476, 4198, 278, 269, 533, 269, 476, 1321, 269, 8158, 476, 278, 4873, 476, 1001, 280, 1107, 3842, 1715, 4944, 3639, 2593, 563, 268, 834, 290, 5723, 8935, 321, 1206, 1773, 2033, 2349, 770, 2668, 634, 5842, 12770, 1401, 3133, 518, 269, 476, 1240, 5181, 476, 4198, 279, 269, 533, 269, 476, 1015, 269, 8158, 476, 278, 4873, 476, 1001, 280, 1107, 3842, 1715, 4944, 3639, 2593, 563, 268, 834, 6124, 5794, 9197, 1662, 1849, 826, 2668, 634, 5842, 12770, 1401, 3133, 518, 269, 476, 1321, 5130, 476, 4198, 279, 269, 533, 269, 476, 272, 269, 8158, 476, 278, 4873, 476, 1001, 280, 1107, 3842, 1715, 4944, 3639, 2593, 563, 268, 27293, 267, 3798, 630, 1626, 5181, 476, 4198, 279, 1040, 834, 306, 629, 582, 720, 670, 842, 539, 538, 1412, 6872, 7414, 5794, 9197, 1662, 674, 7614, 547, 476, 4510, 2668, 634, 5842, 12770, 1401, 3133, 518, 269, 533, 269, 476, 272, 269, 8158, 476, 278, 4873, 476, 1001, 280, 1107, 3842, 1715, 4944, 3639, 2593, 563, 268, 27293, 267, 3798, 630, 1704, 5181, 476, 4198, 279, 1040, 834, 289, 4861, 670, 842, 769, 5794, 1467, 9197, 1662, 7201, 1160, 2041, 2668, 634, 5842, 12770, 1401, 3133, 518, 269, 533, 269, 476, 272, 269, 8158, 476, 278, 4873, 476, 1001, 280, 1107, 3842, 1715, 4944, 3639, 2593, 563, 268, 27293, 267, 3798, 630, 2420, 5239, 476, 4198, 279, 1040, 834, 306, 3726, 674, 6150, 2201, 7754, 2549, 9197, 1662, 2668, 634, 5842, 12770, 1401, 3133, 518, 269, 533, 269, 476, 279 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 25925, 543, 519, 2142, 770, 610, 6249, 11614, 899, 18557, 1633, 543, 18557, 2622, 563, 3674, 29159, 1434, 610, 3983, 888, 291, 1392, 2305, 666, 1291, 883, 4057, 2773, 267, 811, 1981, 543, 2362, 5092, 12375, 256, 1677, 2057, 9561, 938, 2883, 9566, 4212, 538, 513, 29070, 2680, 689, 513, 2582, 5092, 630, 328, 4318, 1421, 28153, 1070, 649, 3262, 938, 2724, 1472, 883, 1114, 13632, 267, 7554, 267, 21113, 543, 1483, 10040, 3180, 902, 563, 1692, 1281, 29159, 1860, 519, 4398, 540, 513, 6109, 888, 2304, 4835, 3854, 2344, 568, 1141, 519, 24323, 6383, 6666, 8928, 540, 1114, 15523, 616, 7535, 539, 267, 3850, 513, 4129, 1881, 6109, 547, 21138, 2200, 547, 922, 1655, 946, 563, 1692, 1281, 14769, 29159, 948, 2569, 1981, 543, 25359, 888, 21545, 12859, 29159, 568, 519, 1981, 2359, 4640, 540, 9256, 1114, 19736, 547, 2569, 519, 2949, 5092, 14769, 1981, 269, 898, 666, 948, 11574, 1981, 543, 25359, 676, 10825, 1761, 3902, 23638, 538, 2901, 4287, 856, 2066, 1114, 7221, 563, 1432, 1281, 621, 1611, 547, 4129, 1518, 707, 1870, 888, 291, 1392, 2305, 568, 513, 2208, 4640, 602, 3322, 10024, 883, 513, 1007, 2344, 610, 2872, 1107, 835, 602, 707, 1870, 3085, 1406, 4867, 7500, 538, 1107, 1247, 849, 2870, 513, 1007, 1587, 585, 602, 1007, 2344, 563, 1432, 616, 519, 1114, 2010, 540, 29159, 2994, 888, 291, 1392, 2305, 568, 513, 2208, 4640, 602, 3322, 10024, 883, 513, 1007, 2344, 610, 2872, 1107, 835, 602, 707, 1870, 3085, 1406, 4867, 7500, 538, 1107, 1247, 849, 2870, 513, 1007, 1587, 585, 602, 1007, 2344, 269, 7756, 2010, 540, 29159, 2994, 1703, 616, 1896, 1114, 2010, 540, 29159, 912, 1692, 616, 4398, 543, 29159, 1860, 6109, 2773, 888, 2171, 8495, 2417, 519, 29927, 540, 519, 29159, 26024, 3095, 676, 10962, 4398, 607, 15645, 908, 3815, 269, 589, 1239, 540, 476, 29204, 10909, 729, 1031, 547, 2932, 513, 8470, 1239, 2079, 27195, 519, 2883, 5823, 6080, 543, 519, 2164, 1397, 1614, 1271, 4681, 563, 1692, 1281, 29159, 2569, 519, 1981, 540, 606, 5092, 888, 291, 1392, 2305, 568, 513, 4480, 602, 6971, 1981, 676, 782, 20814, 9541, 1851, 1585, 2883, 7405, 267, 6080, 267, 543, 824, 6688, 563, 1432, 1058, 594, 1413, 585, 538, 513, 29159, 1544, 888, 2414, 1376, 267, 596, 991, 547, 1118, 2386, 707, 10697, 3575, 630, 324, 3052, 1421, 13632, 267, 7554, 267, 543, 2110, 3856, 9541, 264, 568, 13988, 547, 707, 5092, 942, 7406, 267, 2883, 2115, 267, 543, 4313, 609, 25359, 269, 634, 3732, 10697, 30012, 2630, 9192, 1585, 5666, 540, 6006, 267, 6125, 267, 543, 2110, 3856, 9541, 547, 9414, 1114, 2157, 540, 1981, 543, 2132, 1761, 563, 1432, 1058, 581, 519, 6871, 540, 13632, 538, 513, 4129, 1881, 14769, 888, 13126, 281, 21864, 20180, 619, 267, 5549, 269, 23738, 16375, 1871, 540, 7221, 4371, 538, 2150, 1314, 539, 6589, 540, 1269, 1911, 267, 1822, 538, 606, 782, 2275, 1662, 14769, 282, 513, 4129, 1881, 2208, 14769, 540, 476, 5392, 260, 2475, 13632, 267, 476, 2641, 260, 3486, 13632, 267, 476, 1839, 260, 7554, 267, 543, 476, 276, 260, 2110, 3856, 9541, 282, 543, 782, 3613, 1442, 14769, 540, 476, 3583, 260, 2475, 13632, 543, 476, 1789, 260, 3486, 13632, 269, 0, 20877, 532, 6096, 15206, 14400, 4569, 1656, 11242, 2560, 10439, 1436, 454, 347, 25147, 769, 9137, 2008, 347, 13775, 11261, 1475, 32637, 2073, 5412, 476, 1015, 628, 476, 1708, 271, 2008, 8624, 1681, 9664, 269, 13628, 2073, 5412, 476, 1015, 628, 476, 1708, 271, 563, 32621, 689, 8641, 532, 6096, 10778, 2005, 568, 1271, 547, 1174, 602, 2681, 676, 1297, 2835, 543, 552, 268, 9248, 616, 2966, 585, 3214, 267, 945, 723, 1880, 7965, 609, 1565, 543, 849, 18906, 4369, 269, 31849, 540, 4079, 723, 15874, 519, 5383, 602, 891, 7801, 3817, 2709, 269, 634, 1883, 5413, 540, 2681, 676, 1297, 2835, 568, 602, 789, 2965, 2490, 519, 2898, 1184, 540, 1565, 538, 547, 606, 3078, 29863, 269, 4475, 707, 1126, 786, 1353, 13004, 9238, 15029, 2348, 513, 1390, 942, 609, 1585, 2592, 563, 290, 578, 24742, 7801, 1433, 3817, 1491, 1169, 1404, 942, 2534, 540, 10800, 2692, 903, 543, 10800, 326, 597, 3149, 543, 12662, 621, 593, 1957, 269, 898, 779, 1187, 543, 3078, 547, 1294, 3214, 25793, 1662, 782, 741, 5876, 609, 1175, 513, 5373, 543, 930, 22916, 976, 269, 1656, 609, 513, 10800, 24742, 6249, 267, 972, 779, 4986, 1732, 256, 1703, 616, 9748, 540, 7792, 10800, 24742, 7801, 3817, 593, 519, 4950, 269, 8281, 3817, 543, 2681, 538, 513, 521, 18150, 267, 513, 669, 3089, 530, 6782, 267, 610, 513, 6292, 540, 10800, 24742, 25192, 543, 596, 2461, 1175, 3478, 3323, 269, 17949, 3108, 543, 3108, 540, 1187, 609, 707, 3214, 7801, 10800, 24742, 3817, 563, 27154, 7801, 2835, 269, 4855, 1187, 3662, 7801, 2835, 602, 1683, 606, 5044, 540, 1114, 2831, 585, 519, 1053, 547, 2681, 269, 5213, 1406, 1175, 7017, 585, 519, 1482, 2025, 2831, 282, 1413, 585, 7801, 2835, 609, 16678, 2831, 269, 901, 711, 1152, 2488, 930, 3099, 267, 855, 621, 849, 2488, 513, 1390, 1565, 4316, 269, 634, 1453, 786, 1451, 513, 1390, 4308, 827, 1007, 2831, 543, 741, 5054, 269, 20550, 14795, 616, 849, 513, 1360, 2442, 3662, 1851, 1762, 1453, 269, 4855, 856, 799, 2831, 519, 3214, 899, 543, 1683, 873, 609, 7801, 2835, 1808, 547, 741, 4690, 563, 6546, 779, 1018, 7801, 3817, 543, 7801, 2835, 798, 585, 3214, 269, 1358, 3142, 519, 9345, 547, 1272, 563, 12179, 1543, 267, 22028, 4882, 267, 610, 824, 1570, 602, 1522, 581, 1336, 593, 713, 3135, 602, 568, 711, 713, 3135, 3959, 3788, 519, 10677, 540, 922, 9757, 8227, 4882, 269, 769, 1100, 1259, 1281, 10871, 295, 739, 3409, 9562, 610, 5539, 585, 971, 3688, 543, 596, 1058, 3343, 3656, 9844, 585, 1022, 946, 540, 971, 2326, 689, 922, 8227, 269 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 12493, 781, 2560, 15907, 476, 4037, 260, 540, 713, 4747, 729, 689, 5779, 543, 3049, 585, 519, 2831, 602, 3132, 621, 269, 11982, 21256, 10446, 538, 693, 2547, 1614, 4525, 281, 3162, 3013, 267, 2560, 16684, 3778, 540, 16581, 16373, 19938, 268, 272, 269, 272, 11982, 568, 835, 540, 519, 1034, 2565, 9922, 540, 519, 4095, 4346, 269, 3778, 540, 11982, 2160, 267, 918, 7974, 269, 1323, 26954, 3778, 540, 11982, 267, 476, 1015, 267, 1822, 645, 5861, 11607, 288, 6185, 269, 476, 1015, 267, 1822, 10741, 609, 519, 1101, 1634, 6683, 543, 7475, 538, 513, 2104, 538, 799, 649, 1522, 723, 547, 946, 7864, 2200, 547, 3049, 811, 1004, 269, 9147, 4095, 11982, 269, 476, 10082, 277, 1700, 5197, 271, 1547, 10228, 281, 29366, 526, 517, 4964, 269, 3127, 779, 1686, 814, 1044, 1360, 1434, 538, 2474, 540, 6683, 267, 543, 2094, 3504, 2053, 6683, 568, 2016, 1390, 2956, 676, 519, 1004, 540, 3127, 269, 634, 6694, 1686, 540, 13280, 568, 23091, 609, 922, 2797, 1686, 269, 22340, 269, 3778, 540, 519, 623, 869, 269, 5990, 25886, 5508, 589, 16165, 2975, 17109, 13543, 5442, 715, 5456, 2207, 8656, 20978, 5990, 23333, 2177, 24361, 661, 6938, 9215, 5990, 11553, 2464, 7728, 667, 17751, 634, 6694, 1686, 540, 13280, 568, 23091, 609, 922, 2797, 1686, 269, 634, 16581, 3778, 5980, 729, 8547, 538, 6115, 267, 9823, 538, 476, 4489, 280, 834, 1729, 3895, 519, 1719, 267, 1353, 543, 1382, 538, 519, 1686, 540, 6683, 1701, 634, 29143, 1709, 540, 2371, 543, 2831, 616, 4080, 538, 519, 1016, 29657, 676, 476, 12010, 271, 7460, 269, 13636, 13103, 267, 2560, 3778, 540, 6683, 538, 2560, 772, 2529, 269, 6683, 22020, 5664, 607, 256, 15907, 585, 1082, 1296, 267, 24061, 543, 5104, 329, 4209, 941, 1851, 2831, 602, 3132, 907, 634, 24162, 23582, 8605, 630, 12654, 3738, 689, 1875, 24578, 520, 1426, 585, 2831, 281, 2831, 849, 593, 256, 2986, 772, 2529, 269, 6694, 2256, 328, 14186, 941, 689, 1875, 24578, 520, 1426, 585, 1004, 540, 10991, 6464, 941, 689, 1875, 24578, 520, 1426, 585, 1004, 2560, 256, 3525, 5874, 267, 519, 2486, 3459, 13629, 513, 4760, 538, 476, 4572, 278, 9147, 4095, 6683, 3049, 593, 1426, 6738, 6683, 269, 12056, 538, 6683, 269, 5445, 1331, 6705, 267, 989, 1258, 558, 1235, 267, 1098, 1602, 1562, 543, 1082, 1866, 267, 1175, 476, 1704, 4939, 540, 6694, 256, 898, 849, 8309, 513, 1713, 4137, 547, 519, 24162, 23582, 8605, 630, 12654, 3738, 6436, 547, 2491, 3140, 256, 476, 1704, 4939, 540, 713, 4747, 729, 689, 5779, 543, 3049, 585, 519, 2831, 602, 941, 30042, 2560, 3778, 1862, 281, 621, 2488, 1426, 602, 666, 581, 10057, 676, 5274, 7919, 269, 4322, 1331, 5388, 267, 5613, 5779, 1862, 5617, 773, 1386, 547, 723, 3323, 936, 476, 1015, 267, 1822, 1296, 3516, 15748, 538, 519, 2136, 2276, 267, 1361, 629, 1872, 270, 7476, 1399, 1862, 2986, 971, 5989, 4927, 849, 2232, 519, 13112, 2456, 540, 2470, 267, 519, 476, 736, 628, 11416, 4718, 519, 1646, 269, 8892, 7399, 998, 6683, 585, 3236, 18720, 267, 535, 617, 1457, 267, 3623, 720, 543, 907, 11310, 267, 621, 11313, 521, 2653, 547, 4952, 602, 891, 2242, 5949, 3728, 476, 9957, 1656, 1459, 6683, 543, 5654, 693, 2104, 7399, 10741, 1007, 2560, 513, 5618, 3778, 540, 6683, 267, 543, 1862, 5303, 1354, 476, 3707, 273, 543, 5214, 11396, 519, 4367, 540, 519, 1034, 2565, 9922, 540, 519, 4095, 4346, 8105, 1862, 634, 1032, 476, 2735, 278, 693, 645, 1731, 534, 518, 1004, 6108, 741, 2729, 2502, 538, 6683, 269, 5445, 1331, 6705, 989, 1258, 558, 1235, 269, 7731, 946, 602, 666, 581, 10057, 676, 5274, 1686, 540, 6683, 1331, 5388, 267, 5613, 543, 5779, 2707, 540, 14970, 16901, 281, 1004, 256, 1656, 922, 2012, 729, 18379, 18724, 2284, 11313, 521, 2698, 540, 476, 11011, 2929, 2244, 941, 256, 10558, 6683, 543, 5654, 693, 2104, 7399, 676, 6476, 267, 1175, 476, 1704, 4939, 540, 772, 2529, 269, 6694, 941, 256, 1269, 476, 4391, 275, 5479, 538, 8907, 538, 476, 1001, 279, 267, 950, 14661, 585, 10637, 519, 1433, 6257, 2250, 543, 1459, 543, 1862, 1280, 10637, 3049, 585, 519, 12136, 540, 513, 4838, 538, 6683, 568, 835, 519, 256, 13280, 11313, 521, 2653, 547, 4952, 602, 891, 2242, 5949, 3728, 941, 30042, 519, 2136, 2276, 267, 1361, 629, 1872, 270, 7476, 1399, 269, 2142, 902, 269, 4322, 1331, 5388, 267, 5613, 543, 5779, 3132, 621, 2560, 9147, 4095, 23511, 11982, 729, 811, 610, 1447, 24715, 656, 1282, 713, 1974, 2560, 3778, 540, 6683, 607, 513, 1279, 3856, 1184, 4909, 256, 18623, 723, 6069, 513, 1297, 540, 6436, 547, 2491, 519, 3140, 2560, 476, 272, 1686, 540, 6683, 713, 3896, 2966, 269, 29158, 575, 514, 519, 4095, 4346, 16595, 1646, 540, 6694, 2029, 1354, 476, 3707, 273, 543, 5214, 11396, 1851, 602, 269, 901, 4747, 729, 689, 5779, 543, 3049, 585, 519, 12136, 540, 513, 4838, 538, 6683, 568, 835, 519, 256, 2276, 267, 476, 10082, 276, 1700, 6642, 280, 1361, 629, 1872, 270, 7476, 1399, 16103, 1354, 476, 3707, 273, 543, 5214, 11396, 29143, 1709, 540, 2371, 543, 2831, 616, 4080, 538, 519, 676, 269, 1306, 519, 3135, 540, 519, 6191, 267, 723, 2322, 519, 4346, 593, 2362, 256, 634, 9998, 9709, 16276, 540, 2560, 9147, 4095, 6683, 6694, 13746, 3370, 1354, 2647, 256, 14893, 17118, 7449, 14571, 2504, 585, 1920, 946, 1686, 540, 6683, 1297, 540, 6436, 547, 2491, 519, 3140, 540, 256, 4658, 6108, 741, 2729, 2502, 538, 6683, 269, 5445, 1331, 6705, 267, 989, 1258, 558, 1235, 267, 1098, 1602, 1562, 543, 1082, 23511, 1677, 1628, 1686, 540, 6683, 3889, 267, 689, 8075, 547, 1426, 4859, 5656, 519, 2565, 1862, 717, 3497, 998, 6683, 585, 3236, 18720, 267, 535, 617, 1457, 267, 3623, 720, 543, 811, 519, 3778, 540, 6694, 2029, 3778, 269, 634, 12136, 540, 513, 2486, 267, 1510, 519, 948, 540, 6683, 2160, 267, 918, 7974, 1331, 6705, 267, 989, 1258, 558, 1235, 267, 543, 1421, 13265, 543, 23161, 941, 1851, 2831, 602, 3132, 621, 5989, 568, 2629, 6683, 256, 634, 4367, 540, 519, 1034, 2565, 9922, 540, 519, 1034, 2565, 9922, 540, 519, 3778, 540, 6683, 2160, 918, 7974, 269, 9137, 786, 2689, 519, 8129, 540, 6683, 538, 3703, 3127, 3040, 6683, 729, 811, 610, 1447, 24715, 656, 713, 1862, 589, 2110, 3778, 540, 6683, 267, 32645, 543, 30656, 630, 22362, 543, 4065, 10406, 3738, 585, 2831, 2831, 1862, 27517, 519, 16595, 1646, 540, 8105, 10568, 267, 24061, 543, 5104, 329, 4209, 941, 1851, 2831, 602, 3132, 621, 6694, 538, 256, 2142, 902, 269, 4322, 1331, 5388, 267, 5613, 543, 5779, 2707, 540, 14970, 16901, 281, 1082, 1004, 741, 1862, 2422, 540, 10991, 6464, 476, 272, 3738, 713, 3896, 568, 2966, 267, 2919, 267, 543, 9738, 519, 1862, 1773, 10165, 16276, 540, 2560, 9147, 4095, 6683, 2921, 519, 2504, 6384, 547, 519, 5101, 269, 634, 6191, 543, 2804, 4644, 1702, 267, 621, 10741, 1007, 2560, 513, 5618, 1686, 540, 6683, 1862, 12618, 18330, 543, 5104, 329, 4209, 941, 1851, 7031, 267, 13265, 543, 23161, 941, 1851, 2831, 602, 941, 30042, 1426, 269, 28636, 547, 2491, 519, 3140, 1646, 540, 6694, 2029, 1354, 476, 3707, 273, 543, 5214, 11396, 5779, 543, 585, 256, 589, 2362, 2208, 18330, 6069, 513, 1297, 540, 6436, 547, 2491, 519, 3140, 1646, 540, 8105, 6197, 3001, 269, 595, 29266, 2560, 538, 1840, 547, 6079, 12381, 267, 519, 476, 736, 628, 11416, 4718, 519, 16595, 1646, 540, 8105, 7919, 269, 4322, 1862, 281, 621, 2488, 1426, 602, 666, 581, 10057, 676, 5274, 7919, 269, 4322, 1331, 5388, 267, 5613, 5779, 29755, 2560, 3778, 540, 6683, 1739, 519, 1426, 3761, 1282, 519, 2038, 476, 1960, 271, 338, 267, 723, 519, 269, 1280, 2921, 519, 2504, 6384, 547, 519, 1985, 1377, 513, 1279, 3856, 1184, 540, 4909, 1514, 543, 4644, 269, 12358, 652, 1709, 540, 2371, 543, 2831, 616, 4080, 538, 519, 1016, 29657, 676, 476, 12010, 271, 2807, 17667, 11396, 1686, 540, 6683, 267, 723, 2322, 519, 4346, 593, 513, 2362, 2208, 18330, 4939, 540, 713, 4747, 729, 689, 543, 269, 2201, 6694, 2029, 1354, 476, 3707, 273, 543, 5214, 11396, 513, 2362, 2208, 18330, 1098, 1602, 1562, 543, 1082, 1866, 15024, 15748, 1862, 634, 5664, 5101, 607, 519, 3135, 540, 519, 20996, 1234, 1653, 6705, 267, 989, 1258, 558, 1235, 267, 1098, 1602, 1562, 543, 1082, 1866, 543, 630, 1862, 13870, 6384, 547, 519, 4367, 540, 519, 9998, 9709, 16276, 540, 2560, 4095, 1862, 10801, 519, 1032, 476, 2735, 278, 693, 645, 1731, 534, 518, 4095, 4346, 3761, 1282, 519, 4657, 12405, 1739, 519, 1426, 3761, 519, 256, 22453, 3262, 946, 540, 10991, 6464, 2244, 25614, 941, 10294, 5078, 585, 3395, 7031, 1628, 8628, 3889, 267, 689, 547, 563, 11679, 276, 1715, 17972, 267, 12891, 758, 667, 25475, 595, 878, 25975, 3960, 853, 1846, 267, 7731, 24053, 589, 1744, 582, 769, 634, 14730, 267, 8865, 5375, 15944, 2160, 21989, 25397, 267, 661, 1492, 331, 670, 8354, 2006, 700, 1803, 9835, 323, 18805, 267, 30733, 622, 25624, 3213, 2851, 267, 21926, 650, 6816, 31054, 23467, 267 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 894, 4238, 1384, 281, 8528, 452, 5476, 346, 9795, 12917, 276, 268, 274, 9984, 273, 552, 476, 276, 24179, 274, 268, 273, 264, 15153, 315, 263, 275, 270, 273, 8358, 273, 552, 476, 275, 14370, 273, 270, 273, 264, 29911, 29911, 315, 273, 3867, 263, 272, 317, 273, 14587, 552, 630, 273, 317, 272, 8203, 273, 269, 15153, 29911, 29911, 754, 346, 9795, 348, 1103, 2489, 267, 24324, 1590, 581, 1031, 547, 5815, 519, 1931, 540, 6268, 952, 513, 1875, 12431, 1539, 894, 5106, 5526, 811, 982, 2899, 538, 606, 4082, 269, 1717, 267, 22697, 3858, 593, 513, 1880, 1931, 540, 6268, 585, 1896, 1455, 1875, 12431, 1539, 894, 4238, 269, 901, 568, 3274, 513, 4852, 716, 673, 15007, 547, 2057, 24324, 780, 288, 2451, 12431, 1539, 894, 5106, 568, 513, 1875, 12431, 1539, 894, 5106, 602, 568, 15007, 958, 11117, 689, 2451, 547, 1318, 267, 1775, 4318, 1421, 692, 281, 8528, 281, 8528, 5415, 1806, 692, 29381, 12431, 1539, 894, 4238, 1331, 519, 1739, 780, 265, 25513, 543, 6498, 540, 1483, 2338, 15311, 281, 1269, 343, 3917, 22271, 7807, 3847, 3287, 3917, 9368, 9984, 345, 29911, 3387, 2135, 13375, 28381, 1721, 782, 1422, 2431, 315, 348, 343, 11971, 267, 345, 514, 13992, 13375, 28381, 305, 9368, 315, 348, 282, 259, 15311, 1269, 343, 30819, 270, 345, 7807, 3847, 3287, 30819, 9368, 8358, 345, 29911, 29911, 15153, 3387, 2135, 13375, 28381, 1721, 782, 1422, 2431, 315, 348, 343, 11971, 267, 345, 514, 13992, 13375, 28381, 305, 9368, 315, 348, 3387, 2135, 13375, 28381, 609, 1422, 2431, 315, 348, 344, 552, 271, 267, 345, 552, 271, 269, 6911, 14738, 12431, 1539, 894, 4238, 1331, 519, 1739, 780, 265, 5890, 9426, 2747, 540, 1483, 2338, 15311, 281, 1269, 343, 23373, 3847, 28381, 344, 317, 345, 9368, 315, 13157, 343, 23373, 3847, 315, 3189, 3847, 12169, 317, 345, 9368, 9385, 2431, 315, 348, 1421, 6911, 281, 634, 2601, 20800, 2747, 568, 1318, 12431, 1539, 894, 568, 602, 513, 7368, 2451, 12431, 1539, 894, 20800, 2747, 5106, 1131, 581, 1447, 3730, 269, 13038, 23079, 1223, 630, 663, 1131, 264, 581, 17370, 9287, 609, 8691, 1384, 15311, 4399, 3847, 3287, 317, 344, 9368, 8203, 345, 24210, 23373, 3847, 315, 3189, 3847, 12169, 345, 9368, 9385, 2431, 315, 348, 1421, 6911, 15239, 12431, 1539, 894, 4238, 585, 799, 1100, 6671, 6268, 1931, 568, 3989, 1331, 519, 1739, 780, 265, 14171, 519, 6292, 3772, 3328, 540, 1483, 2338, 15311, 281, 4399, 3847, 315, 3189, 3847, 3287, 20742, 9368, 8358, 273, 266, 345, 1478, 273, 9368, 315, 348, 552, 13375, 28381, 343, 10954, 3847, 12169, 266, 345, 9368, 8358, 273, 1478, 273, 9368, 315, 348, 552, 13375, 28381, 343, 20742, 266, 345, 1478, 274, 9368, 315, 348, 29911, 3387, 2135, 13375, 28381, 1721, 930, 1422, 2431, 315, 348, 343, 11971, 267, 345, 514, 13992, 13375, 28381, 305, 9368, 315, 20467, 14204, 265, 14171, 519, 3448, 9148, 540, 5036, 15311, 1384, 281, 1384, 763, 3039, 851, 538, 519, 2451, 966, 3317, 6516, 4564, 9497, 288, 3269, 289, 8442, 257, 290, 2668, 634, 3039, 851, 538, 519, 1318, 966, 3317, 6516, 4564, 834, 288, 257, 2891, 289, 3269, 290, 257, 6393, 265, 4635, 1318, 12431, 1539, 894, 10035, 585, 1570, 19585, 666, 581, 12592, 552, 3052, 269, 676, 4354, 787, 268, 1692, 731, 19359, 281, 1294, 552, 3052, 269, 6476, 540, 519, 1101, 1079, 24936, 1682, 540, 519, 23664, 6975, 16654, 17429, 794, 1062, 609, 2596, 2036, 20788, 540, 2036, 22922, 7954, 780, 265, 589, 5033, 580, 4981, 568, 513, 1305, 609, 513, 6806, 1997, 894, 9352, 5106, 563, 265, 2155, 583, 18356, 543, 2733, 583, 2032, 616, 1079, 824, 4749, 5941, 3601, 540, 9352, 4238, 563, 265, 5295, 1997, 18356, 543, 3124, 18356, 616, 4617, 3029, 540, 1997, 18356, 780, 310, 1731, 12855, 7690, 269, 476, 1001, 271, 780, 2162, 6733, 693, 824, 21594, 1384, 1892, 1997, 18356, 2443, 607, 1539, 520, 344, 341, 30864, 4567, 553, 570, 521, 8539, 1217, 520, 11986, 3284, 2320, 384, 501, 385, 378, 26385, 7358, 659, 6359, 657, 5260, 344, 321, 384, 501, 281, 556, 345, 738, 21648, 683, 330, 842, 320, 533, 820, 7978, 1775, 20795, 552, 559, 384, 501, 338, 647, 571, 20795, 12682, 385, 367, 1766, 659, 6359, 385, 367, 693, 331, 1731, 24982, 26725, 1046, 384, 483, 269, 1306, 1539, 520, 344, 341, 30864, 536, 19476, 3429, 553, 521, 644, 384, 501, 25155, 807, 328, 630, 320, 1341, 630, 321, 1341, 524, 264, 815, 630, 320, 1341, 536, 264, 1341, 524, 264, 3352, 546, 879, 4445, 321, 2967, 630, 320, 6398, 630, 321, 6398, 524, 264, 815, 630, 320, 6398, 536, 264, 6398, 524, 264, 2560, 5231, 2037, 857, 9383, 25660, 17430, 737, 558, 7032, 17458, 6359, 657, 15662, 378, 1328, 19063, 692, 1892, 1997, 18356, 2443, 10902, 1294, 1997, 894, 2608, 2608, 2608, 1997, 18356, 1315, 476, 16745, 512, 643, 16659, 270, 10902, 3040, 3040, 3040, 6301, 28678, 281, 20875, 817, 1539, 622, 2560, 5231, 2422, 995, 7005, 8675, 692, 1892, 1997, 18356, 2443, 10902, 1294, 1997, 894, 2560, 5231, 1715, 2051, 5586, 5573, 9218, 692, 1892, 1997, 18356, 2443, 6423, 1997, 8271, 269, 2608, 2608, 2608, 2560, 5231, 17629, 1756, 692, 1892, 1997, 18356, 2443, 10902, 519, 2783, 540, 1373, 1997, 894, 2560, 5231, 22816, 5406, 776, 692, 1892, 1997, 18356, 2443, 562, 269, 7681, 267, 22687, 282, 1997, 894, 2623, 2560, 5231, 2296, 4207, 8675, 692, 1892, 1997, 18356, 2443, 607, 6440, 810, 6440, 857, 6440, 320, 6440, 339, 643, 6440, 328, 6440, 1399, 2560, 5231, 2296, 24424, 692, 1892, 7358, 1807, 1997, 18356, 2443, 1280, 519, 6310, 1523, 540, 1997, 18356, 267, 1294, 4889, 18356, 269, 769, 5752, 4654, 543, 6310, 10035, 267, 519, 1997, 18356, 630, 528, 4368, 640, 264, 540, 606, 11346, 568, 513, 3959, 602, 11887, 875, 12427, 540, 519, 1482, 9551, 775, 616, 19882, 538, 2507, 2560, 5231, 9504, 692, 1892, 5295, 1997, 18356, 2443, 769, 7493, 7223, 267, 1379, 1997, 18356, 568, 513, 4617, 1106, 540, 1997, 18356, 269, 2304, 7223, 630, 528, 811, 3622, 513, 29351, 264, 568, 1767, 547, 581, 1379, 1997, 894, 952, 519, 1016, 531, 5040, 6383, 676, 1022, 3693, 568, 1997, 894, 269, 3519, 4740, 569, 267, 713, 1797, 602, 952, 606, 3693, 1535, 2507, 2560, 5231, 9504, 692, 1892, 4889, 894, 3959, 2443, 901, 2376, 568, 827, 1997, 18356, 538, 6128, 269, 1280, 1997, 18356, 538, 519, 3844, 16267, 1770, 3965, 21461, 267, 1294, 17765, 21461, 269, 1280, 1997, 18356, 538, 5752, 4654, 267, 1294, 11346, 1997, 18356, 269, 769, 6128, 267, 1997, 18356, 568, 513, 3959, 2507, 2560, 5231, 9504, 0, 258, 27155, 10406, 281, 1141, 1281, 519, 14230, 979, 2496, 2252, 692, 303, 3287, 264, 815, 1535, 476, 275, 1341, 476, 275, 343, 476, 274, 910, 476, 1691, 343, 476, 273, 1341, 476, 3607, 343, 1341, 476, 3393, 692, 529, 5258, 676, 1535, 1341, 476, 276, 692, 663, 519, 14230, 602, 594, 1336, 568, 910, 10219, 271, 267, 1131, 621, 979, 693, 519, 1439, 540, 519, 23479, 286, 6145, 713, 1384, 343, 476, 274, 910, 476, 280, 343, 476, 273, 910, 476, 6795, 343, 1341, 476, 28796, 910, 476, 10219, 271, 26042, 265, 1862, 1721, 326, 582, 875, 547, 798, 713, 8631, 2433, 315, 692, 296, 2303, 596, 798, 711, 3972, 707, 3965, 267, 1589, 540, 6498, 689, 1101, 3741, 269, 1215, 1281, 8870, 6498, 960, 286, 1403, 596, 2119, 547, 7941, 4399, 2765, 346, 278, 2410, 276, 4151, 596, 917, 602, 519, 23479, 568, 1269, 272, 8961, 855, 875, 798, 596, 1265, 519, 14230, 286, 1411, 9062, 1269, 272, 24206, 476, 276, 284, 276, 259, 855, 596, 1869, 991, 1269, 273, 259, 547, 3914, 1269, 278, 10608, 769, 824, 1913, 281, 3230, 278, 815, 476, 272, 1422, 10383, 476, 276, 1341, 476, 273, 2330, 610, 267, 538, 2489, 267, 952, 596, 7941, 4399, 2765, 346, 301, 2410, 291, 4151, 13844, 519, 23479, 1269, 304, 259, 543, 519, 14230, 1269, 305, 8961, 621, 568, 3020, 982, 281, 3230, 301, 815, 1627, 1422, 10383, 667, 1341, 681, 9681, 3086, 267, 952, 596, 7941, 1312, 5011, 540, 713, 3830, 676, 1269, 291, 259, 596, 9156, 519, 3312, 6824, 281, 6695, 2765, 346, 301, 2410, 291, 13157, 304, 10954, 2765, 23334, 2410, 291, 15732, 2005, 1568, 519, 1482, 609, 21335, 267, 865, 538, 707, 2013, 281, 6695, 2765, 346, 303, 3287, 20972, 343, 266, 276, 13157, 304, 3287, 264, 10954, 2765, 23334, 2410, 343, 266, 276, 6525, 1141, 1269, 305, 15871, 11740, 259, 607, 824, 4267, 723, 11329, 856, 780, 7712, 1269, 303, 8987, 276, 6661, 268, 11740, 259, 543, 2094, 11377, 2765, 346, 303, 3287, 11924, 11740, 2410, 343, 266, 276, 13157, 343, 317, 274, 14870, 317, 273, 268, 280, 343, 266, 10037, 267, 2330, 9767, 723, 1269, 303, 3287, 6661, 263, 343, 317, 274, 14870, 317, 273, 268, 280, 343, 266, 10037, 7565, 343, 266, 276, 11924, 11740, 16859, 7445, 267, 303, 3287, 6661, 336, 3287, 1040, 326, 3287, 11924, 337, 3287, 7751, 2433, 563, 259, 263, 343, 317, 275, 266, 275, 343, 317, 274, 268, 1691, 343, 317, 273, 266, 3607, 343, 266, 3393, 264, 815, 630, 343, 317, 274, 14870, 317, 273, 268, 280, 343, 266, 10037, 1040, 263, 343, 266, 276, 264, 1341, 11196, 11740, 7751, 780, 296, 4126, 596, 4280, 585, 713, 267, 6382, 533, 30972, 780, 21446, 8271, 946, 14230, 11532, 1862, 547, 1265, 14230, 1152, 269, 1269, 303, 8987, 276, 6661, 268, 11740, 269, 6911, 295, 19860, 281, 519, 1318, 1267, 1058, 581, 3230, 346, 343, 8703, 274, 18511, 346, 343, 8703, 273, 18511, 280, 20867, 343, 266, 10037, 268, 11740, 20867, 1422, 3847, 263, 1535, 266, 276, 1422, 2431, 264, 476, 13064, 272, 6525, 1492, 14230, 568, 2016, 676, 1269, 268, 11740, 259, 0, 2162, 667, 559, 1081, 9046, 910, 24908, 7121, 692, 280, 269, 1325, 18146, 8605, 23848, 476, 280, 269, 272, 264, 667, 559, 1081, 476, 280, 269, 272, 269, 272, 264, 667, 559, 1081, 692, 280, 269, 272, 269, 272, 269, 272, 264, 4855, 3355, 5834, 538, 8920, 1081, 5668, 27701, 476, 272, 692, 13707, 6836, 281, 476, 3396, 1109, 22043, 281, 476, 3396, 1109, 654, 3994, 1384, 24280, 519, 7274, 540, 19857, 596, 991, 547, 1039, 883, 476, 6246, 20853, 540, 513, 476, 4391, 269, 4037, 4939, 3070, 547, 5965, 513, 476, 276, 269, 6858, 4939, 3070, 2496, 12812, 593, 519, 7735, 2630, 547, 1294, 519, 2626, 543, 3137, 692, 331, 321, 11224, 476, 25838, 269, 276, 20853, 4846, 692, 1607, 568, 513, 4320, 7269, 610, 5834, 8920, 1081, 1826, 1966, 269, 634, 1898, 4542, 568, 1627, 318, 272, 290, 318, 272, 815, 1627, 318, 273, 290, 318, 273, 563, 2080, 10484, 304, 318, 272, 815, 3355, 7274, 815, 476, 6246, 315, 15153, 332, 299, 563, 290, 318, 272, 815, 3355, 5834, 815, 476, 4391, 269, 4037, 315, 15153, 14999, 304, 318, 273, 815, 3803, 7274, 815, 7790, 315, 15153, 20853, 563, 290, 318, 273, 815, 3803, 5834, 815, 476, 276, 269, 6858, 315, 15153, 4939, 692, 11997, 267, 22198, 4474, 519, 4542, 267, 649, 1205, 912, 304, 318, 273, 815, 630, 304, 318, 272, 6398, 595, 318, 272, 19422, 290, 318, 273, 264, 4061, 1627, 318, 273, 815, 630, 6246, 6398, 476, 4391, 269, 4037, 264, 1315, 276, 269, 6858, 284, 30525, 269, 276, 315, 15153, 20853, 538, 14282, 2898, 1297, 780, 3086, 267, 10208, 519, 3355, 7274, 540, 519, 3070, 630, 6246, 315, 15153, 332, 299, 264, 689, 713, 3803, 7274, 630, 30525, 269, 276, 315, 15153, 332, 299, 264, 547, 3313, 519, 2179, 540, 19857, 547, 581, 3773, 281, 476, 30525, 269, 276, 315, 15153, 332, 299, 268, 6246, 315, 15153, 332, 299, 284, 25838, 269, 276, 315, 15153, 332, 299, 269, 630, 9172, 264, 0, 296, 991, 547, 917, 519, 4632, 630, 343, 11971, 1070, 8635, 6898, 543, 519, 11938, 3948, 585, 519, 1739, 267, 286, 305, 664, 11312, 10266, 1206, 1185, 476, 1911, 271, 17529, 540, 5835, 5862, 543, 476, 10219, 271, 17529, 540, 4544, 5862, 269, 1452, 1079, 13718, 296, 991, 547, 917, 519, 4632, 630, 343, 11971, 1070, 8635, 6898, 543, 519, 11938, 3948, 585, 519, 1739, 267, 2496, 305, 664, 11312, 10266, 1206, 1185, 476, 1911, 271, 17529, 540, 5835, 5862, 543, 476, 10219, 271, 17529, 540, 4544, 5862, 269, 1452, 1079, 4778, 786, 581, 6404, 543, 4421, 607, 1079, 1114, 18707, 540, 3039, 269, 2290, 3575, 3568, 3368, 5835, 543, 3368 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

[ 4532, 2064, 540, 519, 3735, 8374, 540, 538, 2550, 5701, 609, 454, 2784, 2747, 3797, 585, 16658, 302, 3942, 25153, 26217, 540, 519, 29897, 14677, 1460, 563, 4504, 808, 7101, 9332, 2201, 3712, 22776, 4284, 476, 3953, 281, 12553, 280, 268, 9873, 271, 267, 476, 1960, 276, 563, 2764, 269, 13053, 26146, 12789, 267, 28927, 3298, 11083, 267, 1744, 574, 3385, 670, 267, 1696, 620, 281, 24942, 32646, 1260, 553, 607, 454, 16149, 23872, 683, 21182, 916, 1739, 6689, 2860, 269, 9435, 454, 3066, 269, 25109, 3062, 681, 298, 267, 918, 788, 1676, 808, 299, 267, 7338, 11553, 267, 1696, 620, 281, 11671, 17595, 12278, 454, 10818, 532, 540, 15000, 540, 6689, 1199, 1638, 984, 18431, 5448, 19747, 547, 454, 516, 576, 633, 6671, 610, 4389, 1673, 846, 1835, 8643, 2214, 1400, 23735, 2747, 281, 589, 454, 303, 8824, 2201, 19223, 6828, 1353, 269, 808, 7885, 2201, 3712, 476, 1626, 281, 15094, 274, 268, 15094, 279, 267, 476, 1960, 279, 563, 1789, 269, 661, 604, 601, 623, 297, 267, 667, 4689, 1091, 517, 9399, 267, 7338, 11553, 281, 15863, 540, 3395, 5642, 547, 454, 597, 2784, 2747, 281, 589, 6069, 3735, 2360, 18176, 1062, 269, 2271, 808, 7101, 9332, 454, 4002, 3712, 22776, 4284, 476, 4029, 281, 9873, 272, 268, 9873, 278, 267, 476, 1960, 276, 563, 4029, 269, 18706, 8014, 808, 305, 267, 6762, 614, 12463, 267, 623, 10098, 589, 297, 267, 1696, 620, 281, 24658, 268, 3849, 686, 18081, 11142, 454, 5793, 13905, 281, 2776, 14083, 4791, 7422, 269, 9435, 476, 3607, 281, 280, 5379, 268, 280, 5392, 267, 476, 3192, 276, 563, 3953, 269, 30110, 4861, 32518, 281, 5004, 540, 2038, 22533, 32095, 326, 9469, 2068, 281, 589, 454, 11666, 5224, 4720, 269, 12054, 514, 2201, 3712, 476, 1839, 281, 5325, 277, 268, 4366, 273, 267, 476, 1960, 279, 563, 3451, 269, 18774, 2006, 590, 267, 15636, 333, 1157, 19845, 281, 25745, 1591, 22930, 281, 1323, 7778, 540, 519, 454, 17218, 2360, 540, 11118, 582, 2135, 1231, 269, 2271, 808, 7101, 9332, 2201, 3712, 22776, 4284, 476, 273, 281, 8687, 267, 476, 3192, 278, 563, 4097, 269, 8709, 3541, 918, 690, 601, 589, 297, 281, 31469, 540, 3735, 5982, 5945, 538, 519, 454, 4944, 1400, 10260, 267, 538, 2725, 2106, 11555, 267, 31864, 1667, 15679, 281, 24658, 10334, 538, 9435, 454, 10932, 267, 6032, 476, 5379, 272, 268, 30420, 269, 1715, 3840, 267, 681, 13273, 4964, 267, 476, 2735, 271, 563, 3374, 269, 4414, 28727, 11404, 267, 9412, 6202, 590, 267, 932, 2426, 23404, 267, 1696, 620, 281, 12192, 589, 29620, 454, 2784, 2747, 14001, 13969, 517, 4345, 538, 14148, 269, 808, 25326, 337, 476, 12553, 281, 14917, 272, 268, 14917, 275, 267, 476, 1960, 279, 563, 3607, 269, 2098, 527, 23364, 681, 297, 267, 918, 582, 331, 4752, 681, 300, 267, 2098, 26907, 570, 267, 1696, 620, 281, 4825, 3626, 545, 3679, 22629, 454, 1993, 17727, 4157, 514, 268, 272, 13251, 17727, 4157, 514, 268, 277, 2504, 676, 1480, 5761, 454, 325, 756, 549, 4565, 6814, 269, 808, 16332, 565, 476, 13923, 281, 15221, 280, 268, 16318, 278, 267, 476, 1960, 275, 563, 4391, 269, 20484, 715, 267, 590, 29229, 918, 300, 281, 1290, 4124, 540, 782, 10942, 545, 5642, 20768, 454, 10520, 8690, 566, 269, 4354, 337, 25709, 12920, 520, 565, 476, 272, 281, 32076, 268, 30329, 267, 476, 1960, 275, 563, 4343, 269, 2561, 601, 29231, 21598, 281, 634, 3310, 540, 2698, 9570, 267, 6824, 566, 267, 9570, 454, 3433, 267, 543, 3892, 540, 2698, 1560, 23735, 2747, 593, 5642, 20768, 454, 10520, 8690, 566, 269, 12054, 514, 2201, 3712, 476, 736, 630, 26625, 331, 476, 275, 2567, 274, 268, 1015, 267, 476, 1960, 274, 563, 4375, 269, 16511, 520, 22088, 674, 267, 717, 1640, 15001, 328, 717, 267, 623, 11970, 589, 1696, 620, 281, 17623, 2360, 538, 454, 18244, 1310, 5642, 20768, 24328, 281, 589, 2689, 269, 12794, 14670, 860, 807, 454, 2412, 269, 5453, 671, 517, 23140, 281, 634, 10237, 11893, 11043, 4493, 540, 2698, 1560, 23735, 2747, 269, 5696, 454, 297, 7101, 2723, 476, 3583, 281, 6344, 275, 268, 6344, 278, 267, 476, 1960, 278, 563, 6078, 269, 13643, 15829, 267, 8845, 667, 267, 21582, 534, 681, 267, 1696, 620, 281, 2806, 7538, 2234, 3930, 27383, 540, 454, 569, 332, 874, 14231, 689, 6089, 2860, 2550, 609, 7050, 3339, 5160, 454, 17043, 720, 1310, 2234, 23956, 281, 26537, 25593, 32623, 5928, 1310, 1970, 9570, 268, 3433, 454, 597, 2784, 2747, 269, 2271, 808, 7101, 9332, 22776, 476, 6858, 281, 31982, 268, 276, 2764, 267, 476, 1960, 276, 563, 5655, 269, 681, 4461, 599, 808, 267, 21960, 22641, 717, 281, 16453, 5160, 2234, 3930, 27383, 538, 6089, 454, 4754, 1356, 2550, 269, 2271, 808, 7101, 9332, 2201, 3712, 22776, 4284, 476, 4029, 281, 26552, 268, 30306, 267, 476, 1960, 276, 563, 6246, 269, 7935, 1188, 26146, 267, 570, 27462, 20793, 267, 717, 792, 320, 674, 289, 267, 1696, 620, 281, 17316, 549, 4565, 770, 2234, 3930, 27383, 454, 341, 338, 8650, 543, 3735, 3339, 2960, 6114, 538, 2550, 5701, 585, 454, 3691, 770, 2860, 269, 2271, 808, 7101, 9332, 2201, 3712, 22776, 4284, 476, 3953, 281, 15389, 272, 268, 15389, 280, 267, 476, 1960, 276, 563, 4510, 269, 21960, 22641, 28047, 267, 681, 4461, 599, 808, 305, 281, 1473, 25934, 540, 533, 7871, 3940, 676, 18325, 454, 2784, 2747, 538, 9726, 22889, 3515, 689, 6089, 2860, 2550, 269, 5696, 808, 454, 4692, 1356, 476, 7761, 281, 11820, 277, 268, 8099, 272, 267, 476, 1960, 276, 563, 3393, 269, 14480, 560, 808, 267, 2983, 321, 28496, 661, 267, 3026, 889, 21516, 590, 281, 2052, 606, 5393, 11506, 454, 2784, 3930, 27383, 538, 2550, 581, 6444, 676, 519, 538, 20117, 4152, 540, 454, 569, 332, 874, 14231, 286, 18135, 25632, 550, 615, 2201, 330, 565, 476, 14378, 281, 6812, 272, 268, 6812, 277, 267, 476, 1960, 276, 563, 5379, 269, 8092, 9460, 281, 5525, 540, 2860, 543, 5982, 9570, 1851, 10570, 10514, 454, 31162, 341, 643, 832, 281, 634, 1383, 540, 6089, 2860, 269, 808, 24717, 476, 28638, 281, 29710, 268, 2412, 278, 267, 476, 1960, 276, 563, 5325, 269, 623, 15127, 21096, 267, 1744, 574, 714, 340, 962, 267, 2776, 8725, 667, 299, 267, 1696, 620, 281, 5525, 540, 519, 9019, 454, 1993, 10570, 10514, 15000, 281, 7797, 476, 1321, 267, 3487, 594, 269, 9435, 281, 476, 4198, 271, 268, 1960, 271, 563, 20238, 9332, 1763, 476, 16409, 281, 272, 268, 2767, 267, 476, 1960, 277, 563, 4366, 269, 932, 871, 4599, 677, 344, 681, 267, 590, 1678, 15546, 541, 18885, 534, 918, 281, 9435, 32739, 2676, 2784, 3930, 27383, 267, 543, 519, 1981, 540, 5982, 14001, 11871, 281, 4083, 269, 589, 454, 300, 754, 27318, 2582, 2000, 1371, 2203, 540, 2860, 32739, 543, 454, 2784, 3930, 27383, 585, 17782, 2860, 4220, 538, 5095, 269, 7101, 9332, 454, 4910, 476, 16960, 281, 27840, 268, 22145, 267, 476, 1960, 276, 563, 5392, 269, 17547, 11985, 6441, 27267, 6339, 667, 267, 29457, 5362, 589, 281, 2311, 1314, 807, 22007, 30231, 624, 14901, 281, 1548, 1764, 538, 454, 30570, 593, 19223, 286, 18409, 9435, 630, 13640, 529, 264, 476, 8064, 281, 277, 3393, 268, 20981, 267, 476, 1960, 273, 563, 2004, 269, 8065, 661, 297, 267, 5576, 858, 623, 289, 267, 670, 3471, 23817, 267, 1696, 620, 281, 589, 16861, 1867, 912, 293, 15968, 540, 589, 6874, 10636, 27340, 4925, 1851, 17150, 2860, 2550, 609, 454, 572, 3164, 3735, 6114, 547, 5982, 3797, 269, 9435, 808, 2233, 2549, 454, 7906, 269, 10162, 320, 645, 267, 15196, 323, 21191, 267, 5292, 857, 330, 267, 1696, 620, 281, 12891, 5287, 21532, 6014, 2551, 454, 325, 7528, 4293, 585, 1455, 13592, 538, 19836, 7563, 272, 543, 19836, 7563, 273, 269, 14844, 2637, 564, 454, 7367, 269, 9741, 808, 289, 281, 24658, 14001, 4719, 16132, 269, 2271, 808, 7101, 9332, 454, 289, 2723, 476, 10619, 281, 5780, 274, 268, 6858, 272, 267, 476, 1960, 279, 563, 7871, 269, 9741, 808, 289, 267, 18491, 553, 11867, 670, 267, 26172, 523, 940, 570, 1696, 620, 281, 24658, 14001, 454, 2102, 5669, 16132, 281, 5548, 26359, 4573, 10402, 545, 543, 11118, 21925, 2360, 540, 454, 343, 17530, 543, 13672, 5536, 269, 7101, 9332, 1763, 476, 16825, 281, 26482, 268, 28906, 267, 476, 1960, 278, 563, 7918, 269, 18961, 700, 297, 267, 11969, 619, 6261, 12317, 3464, 517, 717, 267, 2473, 340, 589, 267, 1696, 620, 281, 28080, 9643, 11118, 32194, 454, 597, 2784, 2747, 609, 13672, 5536, 28901, 13592, 538, 27899, 454, 3250, 338, 269, 28540, 14844, 331, 6298, 2233, 7330, 476, 9834, 281, 275, 4817, 280, 268, 5392, 277, 275, 267, 476, 1960, 280, 563, 4649, 269, 589, 3960, 600, 661, 296, 267, 632, 24729, 539, 334, 15382, 267, 6153, 532, 570, 267, 1696, 620, 281, 3955, 14978, 454, 23890, 568, 3238, 538, 519, 676, 1056, 518, 7939, 540, 5444, 454, 10339, 1833, 538, 1480, 2281, 6534, 547, 1360, 1970, 2770, 1878, 540, 13672, 454, 4820, 2873, 269, 7101, 9332, 1763, 476, 5611, 281, 5392, 278, 268, 27843, 267, 476, 1960, 279, 563, 6321, 269, 18774, 2006, 590, 267, 1284, 747, 1088, 29231, 681, 305, 281, 24658, 593, 19223, 269, 808, 24717, 454, 6872, 269, 966, 6359, 599, 752, 20783, 590, 267, 16441, 11632, 281, 23840, 540, 1614, 21021, 454, 935, 845, 531, 5982, 3797, 281, 18370, 11072, 267, 3255, 267, 543, 454, 577, 718, 10622, 269, 2271, 808, 7101, 9332, 2201, 3712, 22776, 4284, 476, 3451, 281, 280, 8064, 268, 7176, 274, 267, 476, 1960, 276, 563, 6812, 269, 853, 20415, 651, 631, 267, 774, 1868, 18074, 281, 15214, 325, 3555, 730, 2234, 23956, 540, 1480, 454, 339, 636, 832, 281, 11137, 540, 519, 19747, 4791, 8062, 269, 2271, 808, 7101, 9332, 454, 4002, 3712, 22776, 4284, 476, 4391, 281, 28796, 268, 29045, 267, 476, 1960, 278, 563, 6795, 269, 2672, 527, 670, 267, 772, 4471, 631, 281, 1160, 2023, 20832, 538, 5982, 3797, 269, 808, 14844, 331, 9435, 454, 9743, 476, 10019, 281, 476, 14028, 268, 13932, 267, 476, 1960, 273, 563, 2568, 269, 23821, 710, 589, 297, 281, 533, 7871, 267, 519, 10408, 10766, 24010, 585, 2208, 269, 8426, 454, 8618, 269, 6754, 990, 747, 17985, 267, 570, 665, 5414, 985, 7288, 667, 303, 267, 19134, 6202, 23435, 281, 1879, 2638, 9557, 3111, 563, 28053, 476, 6434, 281, 476, 25628, 268, 25834, 267, 476, 1960, 278, 563, 7830, 269, 918, 770, 534, 15406, 281, 17449, 7350, 540, 519, 1591, 281, 634, 1591, 4783, 267, 538, 454, 5719, 309, 7534, 966, 307, 267, 18774, 2006, 590, 267, 25347, 6199, 14408, 630, 2644, 2567, 9435, 269, 14362, 543, 454, 20797, 540, 2201, 19223, 267, 476, 276, 628, 1196, 267, 6032, 476, 13199, 268, 16328, 269, 15740, 2676, 8287, 269, 28865, 570, 281, 2201, 19817, 4710, 514, 5121, 269, 8426, 476, 6434, 281, 18357, 268, 31798, 267, 476, 1960, 278, 563, 5038, 269, 3131, 9469, 6789, 267, 590, 1181, 667, 293, 281, 17449, 7350, 540, 2860, 912, 4002, 322, 4094, 525, 267, 538, 1546, 309, 7534, 966, 307, 267, 18774, 2006, 590, 267, 25347, 6199, 14408, 281, 9435, 269, 14362, 454, 663, 6657, 540, 2201, 19223, 267, 476, 276, 628, 1196, 267, 6032, 476, 8064, 268, 9083, 269, 15740, 2676, 4792, 269, 4477, 3387, 549, 758, 9823, 267, 9986, 858, 589, 267, 18582, 2125, 808, 289, 281, 10507, 1606, 1113, 338, 540, 5365, 454, 10520, 9134, 267, 538, 1546, 309, 7534, 966, 307, 267, 18774, 2006, 590, 267, 25347, 6199, 14408, 281, 9435, 912, 7468, 514, 3321, 543, 6657, 540, 2201, 19223, 267, 476, 276, 628, 1196, 267, 6032, 476, 3374, 268, 5379, 269, 15740, 2676, 5780, 269, 932, 7776, 667, 307, 267, 918, 832, 1889, 9807, 590, 297, 281, 7460, 299, 268, 273, 1920, 281, 3204, 22399, 540, 1591, 2669, 563, 2304, 20692, 4860, 16332, 565, 476, 1626, 281, 4375, 276, 268, 275, 866, 267, 476, 1960, 279, 563, 6858, 269, 966, 14513, 667, 299, 281, 595, 3633, 1492, 3791, 7504, 2006, 540, 30091, 269, 8426, 454, 6924, 269, 18491, 1092, 590, 281, 7442, 9953, 2670, 676, 2669, 3815, 269, 8426, 476, 6434, 281, 28307, 268, 3607, 277, 267, 476, 1960, 278, 563, 7597, 269, 2725, 2106, 11555, 267, 5153, 2380, 31446, 267, 6660, 553, 700, 281, 5358, 4364, 1591, 2669, 543, 454, 2784, 1470, 637, 2700, 269, 9435, 5450, 770, 12118, 4860, 476, 1428, 281, 15686, 268, 14530 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

[ 0, 5814, 2979, 454, 6050, 815, 1496, 1467, 14714, 8692, 3890, 585, 1899, 538, 1930, 2891, 6358, 2580, 1412, 337, 10807, 2639, 332, 13293, 815, 1496, 842, 263, 1467, 264, 585, 1899, 538, 3515, 952, 1899, 2639, 30669, 815, 1496, 4118, 269, 28776, 9852, 1315, 476, 274, 264, 910, 476, 273, 585, 544, 538, 13999, 2639, 2745, 4433, 636, 6600, 340, 1564, 4297, 0, 1598, 272, 284, 3863, 17750, 4590, 1477, 1598, 273, 284, 3863, 17750, 4590, 1477, 4289, 284, 9131, 272, 12887, 273, 12887, 274, 12887, 275, 12887, 276, 12887, 277, 12887, 278, 12887, 279, 12887, 280, 12887, 271, 23300, 1477, 604, 1193, 272, 538, 1592, 912, 453, 1477, 825, 1820, 3488, 11767, 519, 4570, 3403, 5073, 1477, 19197, 1193, 273, 538, 1592, 912, 453, 1477, 825, 1820, 3488, 11767, 519, 4570, 3403, 5073, 1477, 12828, 912, 17264, 1477, 825, 1250, 1598, 284, 1598, 272, 266, 1598, 273, 454, 2018, 1477, 825, 1820, 1250, 1598, 0, 1598, 272, 284, 3863, 17750, 4590, 1477, 1598, 273, 284, 3863, 17750, 4590, 1477, 3240, 1598, 272, 284, 6352, 19304, 272, 994, 1477, 3240, 1598, 273, 284, 6352, 19304, 273, 264, 457, 692, 604, 30044, 1598, 272, 2525, 3240, 1598, 273, 2187, 453, 1477, 825, 1820, 1193, 272, 457, 692, 19197, 30044, 1598, 272, 285, 3240, 1598, 273, 2187, 453, 1477, 825, 1820, 1193, 272, 454, 1477, 12828, 912, 453, 1477, 825, 1820, 1193, 273, 0, 5814, 5299, 692, 308, 2793, 7704, 22218, 3633, 815, 476, 271, 454, 13993, 19272, 815, 476, 272, 454, 20062, 25492, 815, 476, 273, 454, 309, 3041, 3951, 3633, 815, 476, 274, 454, 9898, 305, 3951, 12088, 318, 13993, 19272, 815, 476, 275, 454, 9898, 305, 3951, 12088, 318, 20062, 25492, 815, 476, 276, 692, 5035, 8641, 912, 825, 5727, 288, 2241, 3768, 20526, 3113, 27969, 692, 825, 1219, 6449, 8181, 9191, 1345, 267, 5044, 2187, 1038, 5727, 9743, 21468, 919, 513, 1007, 3113, 689, 513, 2016, 476, 273, 291, 268, 6783, 780, 1038, 14803, 3701, 912, 1038, 5044, 4534, 634, 476, 273, 291, 268, 6783, 540, 2418, 547, 4020, 519, 3113, 689, 454, 1038, 29185, 1038, 1582, 8542, 3941, 815, 29129, 1038, 6843, 26161, 815, 20886, 11966, 8443, 3910, 1871, 264, 585, 1871, 538, 4737, 316, 585, 4737, 538, 5044, 6540, 1038, 585, 586, 267, 4737, 538, 26246, 27316, 26161, 2187, 2018, 585, 1535, 267, 6843, 538, 26246, 21405, 2187, 3546, 30256, 815, 29129, 3546, 952, 586, 3436, 476, 271, 912, 7386, 30256, 6910, 27316, 26161, 314, 344, 910, 476, 272, 6012, 343, 7481, 3546, 952, 586, 2999, 7003, 27316, 26161, 264, 910, 476, 272, 912, 7386, 30256, 6910, 27316, 26161, 314, 344, 1341, 476, 272, 6012, 343, 7481, 3546, 952, 1535, 3436, 476, 271, 912, 7386, 30256, 6910, 27316, 26161, 314, 344, 6012, 343, 910, 476, 272, 7481, 3546, 952, 1535, 2999, 7003, 21405, 264, 910, 476, 272, 912, 7386, 30256, 6910, 27316, 26161, 314, 344, 6012, 343, 1341, 476, 272, 20285, 3546, 6843, 269, 31371, 321, 2293, 815, 30256, 692, 1038, 585, 4737, 538, 6843, 26161, 912, 2018, 585, 6843, 538, 4737, 912, 3546, 1582, 8542, 3941, 6910, 27316, 9239, 5035, 19219, 912, 825, 5727, 288, 2241, 6843, 538, 606, 3768, 20526, 3113, 27969, 692, 825, 1219, 6449, 8181, 9191, 1345, 267, 30256, 267, 1871, 2187, 1038, 5727, 9743, 21468, 919, 513, 1007, 6843, 609, 606, 5044, 540, 30256, 543, 513, 1871, 780, 1038, 14803, 3701, 912, 1038, 30256, 4534, 634, 6843, 1592, 540, 30256, 454, 1038, 1871, 4534, 634, 6843, 1871, 454, 1038, 29185, 1038, 1582, 269, 31371, 321, 2293, 815, 30256, 454, 1038, 1582, 27841, 815, 1871, 7531, 3698, 1293, 318, 614, 761, 800, 263, 18429, 2187, 825, 5727, 15575, 338, 519, 8513, 6417, 676, 519, 5716, 780, 825, 14803, 3701, 912, 825, 10007, 4534, 634, 476, 273, 291, 268, 6783, 540, 10007, 1141, 476, 272, 815, 3109, 267, 476, 273, 815, 3043, 543, 476, 271, 815, 1100, 6149, 454, 825, 29185, 825, 3113, 815, 8641, 263, 18429, 2020, 825, 1948, 1284, 6338, 519, 1007, 1871, 476, 274, 799, 1797, 519, 6843, 814, 1044, 10272, 855, 568, 711, 851, 540, 513, 6345, 781, 8513, 454, 825, 585, 6843, 538, 3113, 8542, 3941, 912, 1038, 952, 6843, 27841, 2652, 966, 3041, 3951, 3633, 912, 2018, 3136, 692, 1038, 1948, 19219, 814, 711, 2943, 1044, 10272, 454, 1038, 952, 6843, 27841, 2652, 772, 2793, 7704, 22218, 3633, 912, 2018, 6449, 4148, 797, 27316, 2020, 825, 8513, 15575, 14937, 815, 476, 271, 454, 825, 8513, 15575, 19669, 815, 476, 271, 454, 825, 8513, 815, 5299, 19709, 788, 32476, 263, 18429, 2020, 825, 585, 6843, 538, 3113, 8542, 3941, 912, 1038, 952, 6843, 27841, 2652, 570, 2207, 305, 3951, 12088, 318, 13993, 19272, 912, 2018, 8513, 15575, 14937, 6834, 476, 272, 454, 1038, 8640, 6843, 27841, 2652, 570, 2207, 305, 3951, 12088, 318, 20062, 25492, 912, 2018, 8513, 15575, 19669, 6834, 476, 272, 692, 825, 4994, 815, 476, 271, 692, 825, 585, 586, 267, 4737, 538, 26246, 263, 614, 761, 800, 2187, 1038, 585, 1535, 267, 9041, 538, 26246, 21405, 2187, 2018, 8513, 314, 344, 6012, 343, 316, 815, 3113, 8542, 3941, 27709, 4940, 7407, 454, 2018, 4994, 6834, 476, 272, 692, 825, 2132, 1496, 614, 761, 800, 15575, 14937, 267, 8513, 15575, 19669, 267, 8513, 6540, 454, 3698, 6449, 4148, 797, 263, 11034, 2187, 825, 5727, 8110, 13257, 513, 2241, 3178, 23867, 3406, 585, 782, 11105, 9136, 1510, 10007, 267, 4358, 689, 519, 2016, 6843, 563, 825, 1403, 649, 5734, 513, 3109, 6149, 267, 1665, 3388, 607, 3109, 8513, 563, 825, 1403, 649, 5734, 513, 3043, 6149, 267, 1665, 3388, 607, 3043, 8513, 563, 825, 1403, 649, 5734, 1312, 267, 621, 781, 9444, 780, 825, 14803, 3701, 912, 825, 1376, 4534, 634, 4358, 6843, 454, 825, 29185, 825, 10518, 815, 1496, 11034, 2639, 825, 10272, 815, 11713, 825, 3109, 815, 8771, 454, 825, 3043, 815, 8771, 692, 825, 1247, 10518, 912, 1038, 6843, 815, 10518, 21014, 4590, 1038, 6843, 27841, 815, 966, 3041, 3951, 3633, 454, 1038, 10272, 6910, 27316, 2020, 1038, 585, 16705, 538, 6843, 269, 31371, 321, 2293, 912, 2018, 952, 16705, 27841, 2652, 772, 2793, 7704, 22218, 3633, 912, 3546, 10518, 6910, 263, 31371, 13118, 994, 2018, 8640, 16705, 27841, 2652, 19154, 19272, 912, 3546, 3109, 815, 6936, 454, 2018, 8640, 16705, 27841, 2652, 18040, 25492, 912, 3546, 3043, 815, 6936, 692, 825, 1948, 1677, 5094, 8513, 689, 519, 10007, 649, 1689, 3109, 689, 476, 272, 547, 476, 275, 543, 3043, 689, 476, 273, 547, 476, 276, 454, 825, 585, 6843, 538, 10272, 912, 1038, 952, 3109, 543, 711, 3043, 912, 2018, 6843, 27841, 815, 570, 2207, 305, 3951, 12088, 318, 13993, 19272, 454, 1038, 8640, 3043, 543, 711, 3109, 912, 2018, 6843, 27841, 815, 570, 2207, 305, 3951, 12088, 318, 20062, 25492, 692, 258, 5228, 2721, 1104, 10439, 32317, 454, 258, 18429, 815, 1496, 454, 258, 825, 1496, 271, 267, 476, 271, 267, 476, 272, 267, 476, 271, 267, 476, 271, 267, 476, 271, 267, 476, 271, 267, 476, 271, 267, 476, 271, 267, 476, 271, 267, 476, 271, 267, 476, 271, 267, 476, 271, 267, 476, 271, 267, 476, 271, 267, 476, 271, 267, 476, 271, 267, 476, 271, 267, 476, 271, 16689, 258, 825, 1496, 271, 267, 476, 271, 267, 476, 272, 267, 476, 271, 267, 476, 271, 267, 476, 271, 267, 476, 271, 267, 476, 271, 267, 476, 271, 267, 476, 271, 267, 476, 271, 267, 476, 271, 267, 476, 271, 267, 476, 271, 267, 476, 271, 267, 476, 271, 267, 476, 271, 267, 476, 271, 267, 476, 271, 16689, 258, 825, 1496, 271, 267, 476, 271, 267, 476, 272, 267, 476, 271, 267, 476, 271, 267, 476, 271, 267, 476, 271, 267, 476, 271, 267, 476, 271, 267, 476, 271, 267, 476, 271, 267, 476, 271, 267, 476, 271, 267, 476, 271, 267, 476, 271, 267, 476, 271, 267, 476, 271, 267, 476, 271, 267, 476, 271, 16689, 258, 825, 1496, 272, 267, 476, 272, 267, 476, 271, 267, 476, 271, 267, 476, 271, 267, 476, 271, 267, 476, 271, 267, 476, 271, 267, 476, 271, 267, 476, 271, 267, 476, 271, 267, 476, 271, 267, 476, 271, 267, 476, 271, 267, 476, 271, 267, 476, 271, 267, 476, 271, 267, 476, 271, 267, 476, 271, 16689, 258, 825, 1496, 271, 267, 476, 271, 267, 476, 271, 267, 476, 271, 267, 476, 271, 267, 476, 271, 267, 476, 271, 267, 476, 271, 267, 476, 271, 267, 476, 271, 267, 476, 271, 267, 476, 271, 267, 476, 271, 267, 476, 271, 267, 476, 271, 267, 476, 271, 267, 476, 271, 267, 476, 271, 267, 476, 271, 16689, 258, 825, 1496, 271, 267, 476, 271, 267, 476, 271, 267, 476, 271, 267, 476, 271, 267, 476, 271, 267, 476, 271, 267, 476, 271, 267, 476, 271, 267, 476, 271, 267, 476, 271, 267, 476, 271, 267, 476, 271, 267, 476, 271, 267, 476, 271, 267, 476, 271, 267, 476, 271, 267, 476, 271, 267, 476, 271, 16689, 258, 825, 1496, 271, 267, 476, 271, 267, 476, 271, 267, 476, 271, 267, 476, 271, 267, 476, 271, 267, 476, 273, 267, 476, 271, 267, 476, 271, 267, 476, 271, 267, 476, 271, 267, 476, 271, 267, 476, 271, 267, 476, 271, 267, 476, 271, 267, 476, 271, 267, 476, 271, 267, 476, 271, 267, 476, 271, 16689, 258, 825, 1496, 271, 267, 476, 271, 267, 476, 271, 267, 476, 271, 267, 476, 271, 267, 476, 271, 267, 476, 271, 267, 476, 271, 267, 476, 271, 267, 476, 271, 267, 476, 271, 267, 476, 271, 267, 476, 271, 267, 476, 271, 267, 476, 271, 267, 476, 271, 267, 476, 271, 267, 476, 271, 267, 476, 271, 16689, 258, 825, 1496, 271, 267, 476, 271, 267, 476, 271, 267, 476, 271, 267, 476, 271, 267, 476, 271, 267, 476, 271, 267, 476, 271, 267, 476, 271, 267, 476, 271, 267, 476, 271, 267, 476, 271, 267, 476, 271, 267, 476, 271, 267, 476, 271, 267, 476, 271, 267, 476, 271, 267, 476, 271, 267, 476, 271, 16689, 258, 825, 1496, 271, 267, 476, 271, 267, 476, 271, 267, 476, 271, 267, 476, 271, 267, 476, 271, 267, 476, 271, 267, 476, 272, 267, 476, 271, 267, 476, 271, 267, 476, 271, 267, 476, 271, 267, 476, 271, 267, 476, 271, 267, 476, 271, 267, 476, 271, 267, 476, 271, 267, 476, 271, 267, 476, 271, 16689, 258, 825, 1496, 271, 267, 476, 271, 267, 476, 271, 267, 476, 271, 267, 476, 271, 267, 476, 271, 267, 476, 271, 267, 476, 271, 267, 476, 271, 267, 476, 271, 267, 476, 271, 267, 476, 271, 267, 476, 271, 267, 476, 271, 267, 476, 271, 267, 476, 271, 267, 476, 271, 267, 476, 271, 267, 476, 271, 16689, 258, 825, 1496, 271, 267, 476, 271, 267, 476, 271, 267, 476, 271, 267, 476, 271, 267, 476, 271, 267, 476, 271, 267, 476, 271, 267, 476, 271, 267, 476, 271, 267, 476, 271, 267, 476, 271, 267, 476, 271, 267, 476, 271, 267, 476, 271, 267, 476, 271, 267, 476, 271, 267, 476, 271, 267, 476, 271, 16689, 258, 825, 1496, 271, 267, 476, 271, 267, 476, 271, 267, 476, 273, 267, 476, 271, 267, 476, 271, 267, 476, 271, 267, 476, 271, 267, 476, 271, 267, 476, 271, 267, 476, 271, 267, 476, 271, 267, 476, 271, 267, 476, 271, 267, 476, 271, 267, 476, 271, 267, 476, 271, 267, 476, 271, 267, 476, 271, 16689, 258, 825, 1496, 271, 267, 476, 271, 267, 476, 273, 267, 476, 271, 267, 476, 273, 267, 476, 271, 267, 476, 271, 267, 476, 271, 267, 476, 271, 267, 476, 271, 267, 476, 271, 267, 476, 271, 267, 476, 271, 267, 476, 271, 267, 476, 271, 267, 476, 271, 267, 476, 271, 267, 476, 271, 267, 476, 271, 16689, 258, 825, 1496, 271, 267, 476, 271, 267, 476, 271, 267, 476, 273, 267, 476, 272, 267, 476, 271, 267, 476, 271, 267, 476, 271, 267, 476, 271, 267, 476, 271, 267, 476, 271, 267, 476, 271, 267, 476, 271, 267, 476, 271, 267, 476, 271, 267, 476, 271, 267, 476, 271, 267, 476, 271, 267, 476, 271, 16689, 258, 825, 1496, 271, 267, 476, 271, 267, 476, 271, 267, 476, 271, 267, 476, 271, 267, 476, 271, 267, 476, 271, 267, 476, 271, 267, 476, 271, 267, 476 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

[ 264, 634, 5207, 2597, 568, 476, 274, 269, 272, 4846, 563, 31702, 264, 634, 9803, 2597, 568, 476, 273, 269, 272, 4846, 563, 263, 643, 264, 634, 2039, 568, 476, 274, 269, 272, 315, 314, 10559, 316, 273, 269, 272, 267, 1775, 4318, 269, 476, 272, 4846, 563, 17635, 264, 634, 1297, 540, 9002, 4535, 593, 602, 1554, 568, 476, 1428, 563, 263, 12858, 264, 634, 1297, 540, 9002, 4171, 12035, 616, 2630, 476, 273, 269, 276, 4846, 568, 476, 275, 630, 328, 4318, 269, 476, 273, 269, 275, 267, 476, 273, 269, 274, 267, 476, 273, 269, 273, 267, 476, 273, 269, 272, 1916, 17635, 4512, 264, 634, 1297, 540, 9002, 4171, 12035, 616, 811, 982, 476, 273, 269, 279, 4846, 568, 476, 275, 630, 328, 4318, 269, 476, 274, 269, 272, 267, 476, 274, 269, 271, 267, 476, 273, 269, 280, 267, 476, 273, 269, 280, 1916, 17635, 13839, 264, 634, 1297, 540, 9002, 4171, 2597, 568, 476, 273, 269, 279, 4846, 568, 476, 273, 563, 21581, 20861, 338, 1280, 2353, 23527, 454, 268, 25944, 540, 4578, 0, 298, 531, 1084, 326, 14086, 1325, 600, 520, 3131, 639, 21036, 534, 623, 1068, 3711, 22462, 15506, 889, 4673, 454, 20091, 8223, 5755, 5599, 8302, 2789, 3903, 17576, 7723, 5599, 7044, 538, 533, 8140, 7663, 659, 5373, 540, 513, 1871, 6908, 11837, 538, 519, 5599, 2872, 6149, 5599, 3937, 9467, 1382, 3584, 538, 5599, 5599, 3937, 585, 9042, 538, 563, 10870, 531, 14086, 6096, 9752, 8249, 454, 3519, 13935, 513, 476, 272, 22240, 2542, 8574, 593, 30517, 8695, 543, 5755, 332, 1149, 1282, 519, 4853, 4838, 269, 2467, 568, 849, 835, 2542, 8223, 4976, 267, 543, 513, 3610, 1883, 269, 4467, 11772, 542, 2055, 616, 3020, 610, 7301, 2789, 3903, 543, 1930, 8694, 267, 543, 1331, 1312, 21055, 543, 1102, 22460, 2055, 563, 21296, 14893, 5450, 718, 21395, 19139, 11929, 5999, 454, 21296, 3903, 12669, 21395, 5542, 981, 2055, 267, 8302, 4148, 1662, 3758, 14273, 689, 9042, 538, 5045, 21562, 2407, 1257, 540, 2442, 11418, 476, 4198, 275, 268, 3422, 274, 737, 617, 328, 21287, 543, 1489, 3758, 21305, 3301, 3284, 330, 2146, 3301, 20444, 1673, 657, 524, 323, 268, 668, 3301, 524, 323, 268, 668, 3301, 5399, 563, 296, 601, 1206, 7335, 631, 10248, 10361, 902, 14288, 1656, 454, 1103, 519, 476, 1408, 1206, 2542, 3296, 267, 972, 616, 2356, 476, 1691, 1114, 2010, 540, 2055, 855, 585, 1142, 2542, 1257, 267, 596, 949, 1205, 476, 274, 610, 476, 275, 1114, 2010, 547, 2626, 269, 2791, 1522, 1205, 3020, 7301, 711, 2016, 267, 9811, 1100, 711, 2016, 267, 11264, 513, 4845, 267, 12805, 513, 16144, 610, 2789, 3903, 547, 2012, 1175, 513, 1906, 563, 8660, 7454, 594, 601, 1206, 7335, 16103, 594, 601, 1206, 7335, 7335, 454, 22261, 476, 2918, 267, 476, 1001, 275, 910, 1114, 5751, 585, 1312, 4081, 543, 2489, 911, 532, 9074, 20193, 568, 1175, 585, 707, 2542, 2259, 2529, 2465, 811, 2093, 827, 476, 1408, 1206, 2542, 267, 2542, 2259, 267, 476, 1408, 1206, 563, 10870, 531, 4400, 3427, 3047, 3163, 7689, 6096, 454, 10870, 531, 1164, 1153, 3618, 2257, 6185, 529, 2452, 532, 782, 3211, 1644, 547, 910, 5755, 1164, 1153, 3618, 2257, 15030, 3311, 19298, 616, 812, 332, 1456, 1343, 7739, 1464, 3942, 1626, 9188, 1600, 29798, 267, 2257, 12826, 2055, 753, 9955, 585, 3618, 2257, 267, 3618, 2257, 267, 5755, 1648, 267, 2073, 3184, 476, 272, 4367, 547, 3618, 2257, 267, 4704, 7515, 585, 2168, 4259, 24160, 2257, 267, 1648, 8925, 27972, 2763, 960, 563, 5379, 5729, 6196, 17719, 9605, 8033, 1132, 1677, 3911, 27212, 8866, 454, 293, 677, 344, 29350, 1296, 3516, 3844, 807, 267, 513, 1507, 4884, 4092, 538, 7532, 7266, 1537, 4050, 11796, 1031, 547, 581, 513, 14297, 5755, 2173, 1456, 4884, 609, 936, 476, 273, 267, 4335, 7264, 269, 9213, 267, 621, 568, 711, 1256, 7396, 538, 1034, 7851, 543, 922, 2551, 814, 546, 13388, 1194, 1524, 547, 476, 1015, 267, 7064, 547, 513, 3595, 602, 3112, 581, 24773, 1639, 563, 296, 601, 1206, 4937, 9751, 7335, 17130, 7392, 476, 272, 13038, 454, 296, 601, 1206, 2489, 2866, 2542, 4305, 1826, 476, 272, 2789, 3903, 2534, 3610, 4967, 6609, 606, 2534, 547, 6338, 2789, 31547, 1826, 2055, 543, 513, 5650, 585, 16460, 873, 2529, 330, 1571, 2919, 616, 1236, 21148, 267, 17655, 267, 2542, 538, 1469, 543, 22950, 337, 2084, 563, 301, 9528, 1014, 14086, 15278, 715, 32508, 21280, 17934, 879, 13280, 454, 303, 9426, 540, 5599, 6080, 538, 562, 12342, 2542, 8223, 5755, 5599, 8302, 2789, 3903, 12353, 5755, 5599, 4393, 2029, 3549, 5755, 5599, 17074, 9477, 2504, 543, 1942, 521, 321, 332, 5599, 543, 4070, 19580, 1071, 561, 11575, 19386, 543, 5599, 8030, 799, 568, 6976, 2362, 5599, 16491, 906, 543, 741, 3096, 563, 20091, 24366, 15021, 14086, 13038, 14893, 454, 4467, 1440, 2380, 542, 632, 3288, 11000, 5755, 5599, 2789, 3903, 267, 1660, 2378, 597, 5755, 5599, 28887, 910, 575, 629, 686, 22088, 1105, 527, 564, 1729, 8160, 639, 2378, 597, 5755, 5599, 267, 28887, 9043, 21688, 1091, 1706, 1660, 2378, 597, 5755, 5599, 267, 28887, 9043, 1660, 2378, 597, 5755, 5599, 267, 28887, 9043, 5140, 5599, 11493, 12227, 2472, 610, 2504, 1899, 1374, 267, 519, 2754, 568, 8149, 547, 2679, 519, 24349, 6216, 9553, 11493, 543, 4393, 12227, 267, 5631, 563, 14737, 1968, 14409, 19783, 13038, 14893, 7726, 454, 21296, 3903, 2243, 8302, 8160, 514, 1968, 4393, 8302, 2789, 3903, 2243, 2789, 3903, 2243, 5599, 900, 326, 710, 1359, 544, 333, 544, 333, 476, 21497, 16460, 513, 2243, 476, 277, 5650, 585, 16460, 513, 2789, 3903, 1826, 2243, 513, 547, 2824, 707, 2626, 4945, 593, 519, 7735, 811, 3877, 1205, 3902, 5599, 543, 7777, 4393, 981, 16551, 562, 576, 525, 6640, 8400, 563, 294, 1090, 3405, 1656, 18500, 24911, 16582, 29329, 454, 13695, 1090, 16582, 568, 606, 14460, 678, 11701, 11175, 543, 5755, 5599, 2146, 593, 519, 2895, 28396, 540, 521, 1998, 321, 731, 267, 6862, 3118, 20193, 729, 8547, 676, 2220, 539, 523, 538, 476, 4489, 271, 543, 4421, 547, 519, 865, 341, 2884, 9769, 538, 476, 4572, 278, 10422, 344, 1090, 16582, 6013, 693, 519, 3723, 540, 519, 536, 4068, 325, 329, 867, 523, 593, 519, 6532, 540, 838, 1080, 828, 2102, 543, 568, 3957, 585, 519, 18158, 11057, 7823, 476, 272, 547, 519, 4884, 563, 14737, 1968, 14409, 19783, 13038, 14893, 7726, 454, 14737, 1968, 4393, 8302, 2789, 3903, 2243, 8160, 514, 1968, 4393, 8302, 2789, 3903, 2243, 7777, 4393, 8302, 2789, 3903, 2243, 7777, 4393, 3684, 10265, 8302, 17453, 13409, 4393, 4401, 22714, 8302, 6149, 5985, 811, 2789, 3903, 2055, 593, 5599, 543, 7777, 2789, 3903, 2055, 593, 5599, 543, 7777, 4393, 713, 568, 606, 2653, 4557, 2243, 563, 296, 601, 1206, 7335, 594, 601, 1206, 715, 514, 10937, 454, 296, 601, 1206, 2542, 2259, 2055, 268, 2789, 3903, 2055, 1923, 4358, 707, 1378, 3872, 1565, 8998, 269, 2080, 568, 513, 8574, 585, 8026, 476, 1408, 1206, 2542, 1983, 2529, 9876, 519, 2055, 543, 1265, 519, 4640, 585, 563, 290, 10984, 545, 10610, 3400, 5407, 11831, 7085, 645, 321, 1372, 545, 565, 2993, 454, 290, 10984, 545, 1560, 1178, 5407, 8860, 1984, 5721, 642, 539, 22863, 5861, 10984, 545, 1560, 1178, 5407, 8860, 1984, 554, 9222, 1236, 30639, 1688, 6995, 32291, 1984, 2689, 711, 1279, 1310, 1775, 8815, 547, 2328, 519, 2689, 1775, 4607, 513, 1612, 4897, 693, 1250, 7450, 21163, 689, 513, 2864, 10694, 6765, 812, 945, 1185, 803, 1129, 585, 835, 554, 9222, 1236, 30639, 1688, 25342, 32291, 1984, 865, 1775, 1705, 543, 602, 338, 950, 1775, 3893, 547, 1491, 513, 6251, 1413, 693, 713, 2370, 8261, 563, 10890, 18171, 1841, 2986, 7108, 14086, 769, 2037, 30253, 454, 10890, 10898, 540, 4154, 5599, 538, 679, 30253, 269, 1805, 821, 8302, 13324, 543, 6287, 539, 676, 533, 1729, 10822, 336, 5599, 15118, 476, 4905, 476, 1001, 274, 6149, 8302, 13324, 543, 6287, 539, 676, 8778, 528, 535, 2801, 721, 320, 28887, 582, 847, 528, 4224, 19854, 2848, 1597, 1138, 338, 795, 337, 536, 32569, 530, 2431, 546, 777, 520, 16988, 554, 1173, 320, 1018, 568, 519, 2597, 540, 3328, 4224, 8302, 8302, 8302, 3684, 585, 9042, 530, 2431, 4224, 8302, 3937, 10950, 563, 9288, 520, 25416, 7557, 514, 655, 738, 604, 23341, 454, 2414, 1030, 331, 2542, 8223, 827, 5599, 269, 2414, 1030, 331, 2542, 8223, 827, 5599, 269, 2414, 1030, 331, 2542, 8223, 827, 5599, 7553, 267, 547, 1030, 331, 621, 335, 3296, 476, 274, 2542, 8223, 552, 1206, 713, 3296, 568, 2966, 547, 2268, 519, 2702, 547, 1224, 543, 1174, 2110, 15102, 2147, 538, 1888, 543, 2511, 8160, 1456, 8223, 4976, 538, 829, 628, 563, 300, 527, 1090, 9298, 7414, 6341, 644, 5028, 7354, 752, 514, 15021, 17719, 5741, 454, 20091, 8223, 5755, 5599, 2789, 3903, 19403, 532, 8223, 5755, 5599, 2789, 3903, 2073, 2542, 8223, 5755, 5599, 2789, 3903, 267, 2073, 28887, 5378, 1090, 9298, 533, 6680, 7663, 644, 5028, 6845, 752, 514, 5755, 9553, 1788, 11482, 633, 10004, 7117, 584, 534, 29907, 5055, 9553, 910, 737, 810, 324, 3073, 563, 300, 710, 9605, 8033, 1132, 1677, 22210, 2991, 476, 5379, 13012, 8866, 5240, 454, 8702, 547, 3844, 807, 267, 513, 1507, 4884, 4092, 538, 7532, 268, 3844, 4050, 11796, 12171, 677, 344, 29350, 1296, 3516, 267, 713, 1031, 547, 581, 513, 14297, 5755, 2173, 1456, 4884, 609, 936, 476, 273, 267, 4335, 7264, 269, 9213, 267, 3844, 807, 568, 711, 1256, 7396, 538, 1034, 7851, 543, 922, 2551, 814, 546, 13388, 1194, 1524, 547, 4557, 267, 7064, 547, 513, 3595, 602, 3112, 581, 24773, 1639, 563, 10870, 531, 14086, 15051, 10046, 15873, 8834, 327, 592, 2917, 454, 10870, 531, 5599, 2095, 6516, 910, 536, 321, 18586, 16766, 5861, 334, 531, 5599, 4238, 2095, 5750, 269, 5611, 1220, 339, 874, 25865, 1076, 11493, 2030, 642, 28126, 568, 606, 1271, 5599, 13143, 2197, 538, 607, 807, 267, 2523, 519, 13143, 566, 540, 14680, 267, 4401, 7626, 267, 5755, 267, 25342, 543, 540, 5755, 5599, 1184, 2095, 5750, 563, 5226, 714, 8018, 18567, 2986, 26187, 559, 17540, 1564, 454, 763, 2789, 31547, 2055, 786, 1449, 596, 593, 19403, 532, 8223, 910, 2327, 602, 596, 2721, 519, 1034, 1271, 1344, 689, 519, 1644, 3992, 593, 4162, 540, 269, 0, 16215, 26162, 13216, 17773, 11872, 15580, 4569, 7089, 23281, 454, 16215, 26162, 13216, 17773, 11872, 15580, 4569, 7089, 23281, 563, 2690, 1383, 267, 1711, 513, 1650, 2796, 585, 267, 543, 946, 513, 3308, 6824, 2203, 547, 1397, 519, 23479, 269, 946, 519, 2078, 1063, 8691, 543, 6498, 547, 2491, 602, 1317, 269, 13216, 8454, 4266, 1974, 14458, 1142, 4082, 269, 3738, 3738, 524, 678, 512, 4944, 562, 341, 4240, 323, 331, 563, 17273, 7688, 2055, 2966, 2708, 1053, 1377, 17117, 12753, 1770, 3928, 2557, 3450, 2979, 476, 278, 628, 3446, 269, 13216, 6824, 3989, 19362, 14009, 8454, 2979, 269, 13216, 8454, 19297, 3845, 1565, 6898, 6281, 2979, 269, 5564, 28745, 8454, 4976, 3211, 269, 5149, 2557, 1950, 8454, 4305, 6486, 12805, 3014, 269, 476, 278, 628, 3446, 1455, 4295, 2689, 1647, 1153, 2979, 3211, 269, 13216, 8454, 1770, 3928, 3992, 22753, 3059, 1820, 2979, 269, 0, 4407, 596, 616, 1603, 519, 4367, 540, 707, 269, 6338, 707, 1292, 269, 519, 4367, 568, 711, 519, 3296, 540, 519, 1557, 538, 799, 596, 8806, 6338, 519, 1888, 267, 621, 849, 6799, 513, 9735, 4316, 547, 1205, 519, 5467, 1655, 1382, 1957, 3584, 554, 10541, 593, 707, 1491, 593, 519, 2140, 256, 11004, 568, 1100, 4542, 2010, 540, 1603, 538, 7005, 585, 513, 3811, 1557, 267, 543, 519, 1655, 3283, 786, 2141, 581, 538, 707, 2511, 267, 609, 707, 1166, 1515, 543, 707, 1378, 10761, 1107, 2705, 1775, 9364, 899, 547, 2671, 1870, 6989, 4566, 930, 4388, 689, 1250, 1995, 593, 875, 269, 1312, 875, 547, 2328, 513, 4367, 585, 513, 1557, 1058, 581, 1100, 811, 5098, 3948, 12819, 1557, 982, 513, 1906, 5220, 269, 713, 4214, 1568, 607, 606, 4367, 547, 519, 5098, 269, 519, 4367, 5037, 12799, 32141, 513, 1966, 543, 9382, 922, 875, 547, 2328, 513, 4367, 585, 513, 1557, 3123, 543, 4539, 269, 1577, 781, 1205, 269, 519, 1101, 1899, 568, 707, 4960, 547, 875, 547, 2328, 513, 4367, 585, 513, 1557, 10544, 519, 5467, 543, 1491, 269, 2034, 267, 621, 3947, 707, 5467, 513, 269, 1247, 9236, 1919, 267, 519, 1034, 2500, 1259, 568, 1184, 1557, 1806, 1863, 547, 1118, 513, 1592, 540, 3604, 543, 10486 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

[ 0, 7705, 281, 19850, 7585, 256, 5620, 596, 2479, 4862, 540, 2672, 325, 1143, 286, 898, 781, 513, 1826, 540, 7793, 6291, 1369, 5771, 602, 6212, 593, 5289, 1646, 998, 2648, 267, 31658, 267, 543, 1582, 16162, 23002, 780, 7692, 281, 670, 7825, 267, 594, 1589, 594, 723, 269, 1809, 1018, 1281, 602, 1611, 4010, 286, 1215, 798, 789, 2259, 2648, 543, 31658, 2496, 8334, 281, 4270, 267, 1577, 803, 2285, 596, 606, 1383, 269, 5994, 952, 2576, 18417, 536, 22981, 883, 596, 1247, 6972, 1524, 519, 10689, 3118, 693, 1153, 269, 4107, 1004, 1131, 4440, 1745, 20714, 539, 267, 1318, 286, 1809, 513, 2672, 25206, 1522, 1294, 602, 4090, 607, 606, 4316, 547, 1397, 8296, 543, 19807, 1107, 7907, 602, 666, 948, 721, 1332, 32375, 780, 7692, 281, 7937, 267, 594, 1205, 621, 269, 1924, 3079, 540, 3478, 14220, 267, 789, 2119, 547, 581, 2186, 543, 1174, 602, 3025, 2306, 9073, 3006, 269, 2334, 4992, 899, 1434, 5796, 2439, 8334, 281, 22549, 256, 1656, 1934, 781, 1776, 3364, 281, 8026, 1582, 16162, 23002, 1797, 9013, 938, 4555, 267, 4664, 267, 543, 3527, 865, 602, 649, 666, 3251, 5059, 593, 1373, 15962, 543, 17519, 2509, 1866, 780, 7692, 281, 2052, 596, 2285, 803, 513, 1483, 3734, 9183, 1141, 594, 1223, 946, 713, 2856, 2496, 8334, 281, 17610, 256, 2913, 781, 2161, 596, 2731, 1616, 547, 4444, 519, 5767, 3381, 3014, 267, 855, 707, 3237, 2995, 596, 602, 596, 991, 547, 4688, 2724, 585, 1945, 811, 1271, 269, 5502, 540, 19163, 609, 873, 610, 31205, 9140, 519, 3014, 19037, 267, 596, 6430, 547, 2463, 741, 3375, 543, 960, 2182, 547, 7118, 2614, 2724, 585, 1312, 519, 2556, 6221, 543, 519, 3014, 269, 1635, 3257, 713, 267, 596, 2811, 6029, 1582, 16162, 23002, 543, 15657, 780, 7692, 281, 26272, 267, 602, 2965, 2306, 513, 2603, 540, 2631, 269, 4634, 1498, 594, 4769, 1405, 1205, 519, 3014, 1318, 2476, 267, 594, 4121, 9639, 543, 5539, 269, 8729, 267, 7705, 256, 1684, 596, 1589, 972, 616, 824, 2081, 547, 1020, 1250, 2247, 267, 1560, 267, 543, 6891, 2496, 8334, 281, 25999, 256, 1703, 616, 9118, 2853, 856, 972, 267, 899, 9066, 267, 10649, 267, 2542, 267, 1603, 267, 543, 1256, 7836, 942, 538, 2470, 269, 1411, 1175, 991, 547, 1265, 1018, 1568, 1655, 585, 596, 543, 6529, 609, 621, 269, 5457, 267, 3384, 6000, 3217, 942, 267, 4674, 267, 543, 6266, 540, 2259, 780, 7692, 281, 23010, 267, 594, 7058, 4986, 2501, 2653, 269, 1809, 594, 6415, 9599, 547, 1376, 3695, 1007, 2081, 547, 1451, 543, 1332, 2439, 8334, 281, 2725, 1932, 267, 7585, 256, 8625, 267, 649, 666, 1831, 5923, 518, 267, 6793, 267, 543, 811, 17519, 2043, 269, 0, 2080, 568, 606, 1349, 689, 513, 2546, 912, 257, 9743, 16226, 513, 1224, 16217, 19241, 27528, 814, 547, 1210, 513, 476, 274, 291, 1439, 689, 513, 1082, 2040, 547, 519, 4604, 3336, 269, 589, 15568, 1604, 568, 519, 835, 799, 554, 1938, 2901, 4901, 642, 5866, 263, 4457, 2203, 264, 610, 1448, 3877, 263, 3443, 322, 1136, 9936, 1436, 264, 538, 930, 1062, 269, 769, 713, 3919, 267, 649, 616, 593, 11173, 1767, 2798, 799, 616, 10319, 547, 513, 10724, 610, 513, 3609, 267, 543, 593, 9138, 3791, 3655, 684, 553, 5196, 513, 10316, 2062, 5320, 269, 4014, 519, 6852, 2669, 3297, 519, 6263, 18453, 10841, 754, 839, 4080, 519, 1299, 547, 4152, 1753, 267, 621, 8255, 711, 849, 1044, 585, 993, 23035, 811, 2582, 3597, 2516, 263, 1114, 607, 10368, 267, 1357, 267, 9936, 610, 15349, 4647, 16103, 1070, 3655, 26915, 14686, 3688, 267, 1519, 5769, 1433, 7410, 267, 8989, 21957, 3457, 267, 20414, 5777, 543, 1394, 269, 1224, 547, 713, 2272, 2882, 1305, 13752, 1317, 649, 917, 596, 616, 21338, 4720, 2477, 547, 4413, 519, 679, 25252, 924, 269, 7490, 29553, 6131, 602, 1489, 543, 10832, 1118, 3812, 593, 707, 10554, 543, 602, 596, 13822, 827, 3168, 873, 689, 3441, 269, 14360, 676, 32309, 311, 267, 5549, 269, 901, 2070, 554, 3010, 2237, 513, 2143, 17187, 5188, 1644, 547, 519, 1349, 1657, 267, 2519, 593, 834, 306, 18860, 1143, 257, 607, 851, 540, 834, 289, 7495, 312, 267, 631, 18853, 1299, 9501, 7644, 3951, 1315, 3733, 560, 6291, 2580, 6098, 693, 1453, 547, 4001, 873, 1455, 2631, 269, 634, 5188, 1058, 4125, 1079, 3197, 267, 7705, 543, 7585, 267, 7234, 4948, 3871, 543, 1818, 3664, 1759, 593, 1455, 2631, 269, 2422, 2241, 2474, 543, 513, 2067, 267, 2502, 3159, 269, 24372, 2521, 547, 281, 8528, 268, 19308, 2055, 543, 4267, 602, 12172, 519, 1888, 543, 1683, 4052, 1806, 543, 3137, 540, 1946, 1919, 4755, 267, 2014, 7146, 13716, 3347, 267, 543, 875, 1004, 3335, 2170, 538, 891, 3871, 269, 3097, 268, 20864, 7653, 602, 2154, 1620, 15749, 8100, 543, 13865, 10881, 547, 8207, 13509, 269, 3097, 2710, 711, 2446, 519, 1357, 1349, 543, 11716, 3877, 13061, 547, 519, 1888, 269, 0, 3848, 476, 1691, 281, 654, 5893, 19369, 910, 16871, 24956, 545, 11576, 7081, 538, 13751, 4530, 574, 3415, 692, 7072, 692, 763, 1148, 540, 7198, 7041, 6013, 693, 519, 10167, 540, 2792, 267, 6530, 267, 543, 1876, 269, 769, 713, 3184, 267, 649, 786, 5490, 883, 519, 14960, 540, 8600, 22168, 585, 4693, 1247, 10771, 519, 2956, 540, 8508, 8076, 2283, 7081, 538, 3656, 21981, 269, 634, 4367, 540, 713, 23349, 1935, 949, 6318, 2055, 827, 922, 10083, 282, 2705, 267, 5373, 4296, 1063, 9583, 19635, 11890, 1419, 5012, 547, 5499, 2994, 543, 7096, 4030, 269, 1635, 3695, 875, 19713, 835, 781, 2283, 783, 1648, 666, 3986, 7198, 17258, 543, 1764, 267, 596, 786, 2744, 3407, 2645, 585, 2500, 6041, 538, 5480, 780, 4089, 476, 272, 281, 4197, 11576, 7081, 543, 11557, 7081, 692, 2414, 2253, 938, 3460, 267, 621, 568, 2629, 547, 3715, 2312, 8847, 540, 2283, 7081, 543, 14920, 1369, 519, 2796, 540, 7198, 7041, 269, 2755, 891, 2474, 616, 3006, 1031, 30430, 267, 789, 4163, 3982, 25664, 725, 269, 4340, 547, 16026, 630, 1001, 279, 1070, 14920, 4016, 547, 519, 4082, 540, 835, 781, 4008, 3961, 267, 10066, 267, 543, 7287, 998, 15982, 3347, 543, 5615, 269, 2201, 519, 824, 1688, 267, 2283, 7081, 18575, 15398, 4656, 543, 7071, 585, 5418, 553, 9092, 2833, 6508, 689, 1585, 12823, 1765, 339, 13224, 267, 6492, 267, 9329, 267, 8289, 267, 543, 3280, 780, 28274, 713, 5943, 547, 7198, 7041, 3322, 13057, 2043, 4724, 17034, 741, 6418, 2200, 540, 6015, 267, 1582, 18221, 267, 543, 3929, 4987, 269, 1452, 7907, 3565, 547, 8903, 16499, 23888, 16135, 538, 19969, 543, 13438, 267, 7551, 5807, 3972, 1851, 29632, 832, 780, 4089, 476, 273, 281, 13891, 6064, 532, 3733, 2195, 28259, 532, 11576, 7081, 543, 13751, 4530, 574, 3415, 692, 6524, 23312, 2417, 267, 1577, 721, 2232, 930, 1455, 20887, 4478, 2283, 7081, 543, 922, 1909, 538, 3656, 21981, 1384, 300, 2814, 1948, 272, 281, 5890, 7675, 2283, 7081, 1226, 919, 547, 16789, 2932, 610, 2623, 563, 3725, 1275, 281, 1879, 8756, 539, 14013, 267, 2283, 783, 1648, 10597, 1093, 1047, 267, 4527, 267, 543, 30373, 1765, 718, 1898, 3334, 540, 2500, 2792, 538, 513, 5480, 3336, 4259, 780, 300, 2814, 1948, 273, 281, 11576, 7081, 814, 1100, 1747, 538, 3318, 5054, 971, 607, 10470, 563, 3725, 1275, 281, 7073, 3656, 18659, 5431, 519, 1871, 540, 9423, 267, 6568, 267, 543, 8887, 1464, 7258, 2757, 17720, 2553, 269, 4498, 1145, 532, 835, 781, 2283, 7081, 6087, 22168, 547, 1921, 811, 7184, 609, 741, 6386, 267, 2810, 519, 10171, 540, 15028, 4093, 780, 300, 2814, 1948, 274, 281, 18964, 2283, 7081, 7512, 27105, 610, 29959, 21981, 563, 3725, 1275, 281, 674, 29183, 9758, 2283, 783, 4276, 8992, 26126, 543, 1582, 26190, 267, 6038, 3056, 547, 1854, 518, 6589, 602, 13469, 609, 19700, 780, 4089, 476, 274, 281, 9828, 585, 4980, 22899, 11576, 783, 17607, 538, 654, 5893, 19369, 692, 3086, 602, 649, 723, 3181, 6064, 539, 11342, 14868, 3823, 2283, 7081, 543, 3656, 21981, 267, 1577, 721, 4983, 4052, 2409, 585, 14237, 2283, 783, 4656, 1282, 7198, 7041, 7886, 1384, 272, 269, 24238, 9066, 281, 6651, 22168, 998, 11009, 5751, 2966, 547, 2333, 1560, 9637, 543, 1140, 2317, 618, 547, 741, 10450, 269, 6270, 2853, 5512, 2043, 547, 7148, 883, 741, 17916, 2283, 783, 19367, 267, 5009, 9350, 1145, 543, 9355, 896, 2604, 780, 273, 269, 22165, 327, 1740, 281, 17546, 2620, 267, 26202, 15122, 7244, 2553, 602, 7520, 11005, 543, 10704, 1145, 269, 7743, 7362, 1852, 5688, 3278, 13047, 6765, 267, 7700, 547, 24808, 543, 2502, 5711, 14245, 780, 274, 269, 19257, 337, 1681, 543, 13147, 10107, 281, 11559, 22168, 547, 2259, 8272, 337, 1681, 2168, 17267, 543, 11913, 3270, 540, 3811, 3868, 2209, 269, 9866, 6326, 875, 1866, 608, 8775, 8746, 2283, 7081, 2488, 15889, 3631, 585, 6454, 780, 275, 269, 10020, 2452, 7653, 281, 18918, 22168, 538, 20533, 5480, 3336, 4205, 267, 3850, 873, 547, 4603, 609, 1114, 12331, 540, 22192, 2792, 269, 594, 614, 894, 5955, 5849, 6024, 2208, 543, 1646, 780, 276, 269, 9608, 1242, 14751, 725, 281, 25085, 22168, 676, 13167, 25191, 14751, 725, 602, 8661, 741, 2189, 9342, 543, 7207, 269, 8617, 17279, 1128, 1571, 1582, 12431, 4269, 543, 6043, 780, 6962, 692, 21615, 571, 1424, 8076, 2283, 7081, 3091, 513, 3209, 2943, 14984, 1935, 547, 7198, 7041, 267, 30015, 2043, 609, 519, 1983, 2556, 547, 5838, 9159, 16499, 23888, 12082, 538, 5168, 543, 13438, 269, 1306, 2413, 3656, 4648, 6330, 606, 5051, 1950, 5251, 267, 6220, 4244, 5380, 3587, 4105, 547, 1967, 269, 1635, 14637, 2283, 783, 4656, 267, 9439, 6536, 3972, 267, 6278, 267, 543, 3310, 1765, 322, 15560, 2609, 538, 5935, 21139, 11994, 543, 6117, 5551, 2013, 4093, 269, 0, 2080, 568, 606, 1349, 689, 513, 2546, 912, 24281, 2221, 779, 3728, 19550, 2486, 267, 1082, 2021, 616, 4743, 30890, 689, 741, 2283, 7081, 543, 14920, 269, 2060, 11112, 16131, 267, 6848, 6788, 267, 543, 2123, 538, 572, 15247, 267, 621, 666, 581, 4101, 547, 4628, 9784, 543, 2263, 835, 779, 2283, 7081, 269, 1717, 267, 972, 568, 513, 3532, 3070, 602, 666, 948, 2021, 556, 6618, 609, 741, 2283, 7081, 543, 1995, 12257, 538, 513, 1007, 543, 16779, 1259, 1107, 17849, 513, 4775, 26603, 677, 538, 9628, 563, 1103, 2101, 4872, 899, 9628, 267, 4775, 26603, 2176, 2709, 513, 15739, 564, 543, 29413, 3028, 602, 6212, 593, 16180, 519, 13821, 543, 2115, 540, 741, 7218, 269, 1809, 3564, 1175, 2168, 12257, 267, 17849, 513, 4775, 26603, 677, 666, 849, 581, 513, 13710, 1995, 585, 2021, 269, 898, 2636, 873, 547, 1577, 979, 540, 7409, 1431, 267, 9784, 741, 13821, 267, 543, 11884, 2263, 741, 2283, 7081, 1510, 1022, 10385, 610, 6788, 269, 901, 2376, 786, 4685, 4514, 883, 519, 1523, 540, 21704, 532, 547, 835, 779, 2283, 7081, 609, 513, 4775, 26603, 677, 267, 18167, 883, 519, 2640, 267, 20887, 267, 543, 3106, 3344, 540, 9001, 3010, 2237, 606, 3573, 543, 2143, 1576, 1770, 538, 513, 1837, 585, 2852, 1053, 1644, 547, 519, 1349, 1657, 267, 2519, 593, 834, 310, 5893, 19369, 257, 607, 851, 540, 834, 30311, 1315, 19750, 20929, 2668, 1684, 711, 1175, 1592, 2035, 267, 855, 1020, 1142, 835, 538, 1469, 1354, 3001, 547, 519, 1985, 267, 607, 649, 4225, 3178, 540, 1620, 543, 3102, 3408, 540, 519, 1641, 2339, 936, 4560, 780, 2521, 547, 1384, 268, 3550, 538, 3829, 3795, 540, 519, 2035, 563, 268, 2422, 513, 2239, 267, 2219, 4538, 2511, 563, 268, 4045, 519, 1888, 609, 1699, 3466, 267, 1483, 3734, 1806, 267, 610, 2487, 2090, 563, 2710, 711, 1331, 513, 2140, 267, 2606, 2453, 267, 610, 2592, 269, 3503, 519, 1543, 2047, 269, 0, 6092, 5149, 281, 7073, 2817, 1143, 543, 3557, 19725, 538, 519, 5664, 5101, 692, 1103, 713, 1770, 267, 649, 786, 2263, 875, 2477, 538, 519, 5664, 5101, 941, 4646, 543, 1946, 930, 1004, 972, 1745, 9244, 4448, 547, 891, 1007, 6082, 269, 901, 1523, 568, 1572, 18541, 269, 5620, 596, 2479, 4862, 707, 1920, 2911, 827, 1141, 789, 2097, 689, 286, 9320, 789, 616, 8385, 689, 1776, 2197, 256, 4270, 267, 1175, 899, 707, 1920, 1522, 2697, 609, 741, 1753, 2197, 267, 1082, 1004, 1472, 519, 1158, 1745, 513, 2178, 4276, 547, 741, 1378, 4182, 269, 2913, 781, 4685, 883, 1620, 2413, 18541, 543, 1533, 5250, 538, 519, 5664, 5101, 2439, 1432, 568, 18541, 888, 2411, 21387, 13233, 1143, 568, 950, 1004, 2671, 513, 1455, 3961, 1759, 593, 1919, 899 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

[ 972, 538, 476, 5908, 271, 269, 634, 1858, 729, 1641, 547, 13350, 14700, 689, 519, 918, 1716, 5211, 267, 799, 13026, 1018, 568, 1631, 519, 25708, 1858, 267, 4810, 17061, 540, 13663, 563, 1103, 476, 5908, 273, 267, 29070, 17160, 25626, 2476, 519, 3312, 11175, 8547, 538, 476, 5908, 271, 676, 519, 4436, 23899, 4168, 645, 2129, 3534, 269, 7324, 1346, 13631, 547, 519, 1858, 676, 519, 4993, 4154, 19060, 729, 7338, 22823, 267, 513, 15818, 543, 5449, 3935, 601, 538, 519, 17740, 807, 540, 11882, 267, 1010, 1753, 1533, 269, 22823, 6410, 547, 519, 8492, 540, 519, 918, 1716, 5211, 538, 476, 5908, 274, 267, 693, 1018, 2968, 1634, 607, 22823, 781, 12197, 267, 799, 2968, 513, 3247, 1478, 585, 17631, 269, 1635, 476, 6942, 271, 267, 609, 513, 2551, 540, 476, 7785, 267, 1018, 568, 1631, 1634, 607, 645, 5474, 7615, 729, 4742, 519, 9030, 4884, 538, 918, 1716, 6019, 269, 769, 476, 6942, 274, 267, 645, 5474, 7615, 729, 11368, 607, 513, 2749, 267, 676, 476, 6942, 275, 267, 621, 8719, 519, 12955, 4884, 540, 32147, 559, 1695, 607, 519, 10315, 10160, 269, 12138, 24759, 729, 21534, 607, 519, 2749, 22153, 531, 267, 513, 812, 835, 14787, 1131, 4766, 607, 834, 1862, 606, 2025, 812, 676, 519, 942, 646, 2968, 15794, 531, 540, 645, 5474, 7615, 267, 646, 15336, 609, 513, 29647, 269, 1809, 646, 729, 513, 13573, 3089, 1014, 267, 513, 13561, 812, 609, 513, 7784, 267, 711, 15877, 538, 11036, 543, 4199, 950, 519, 7099, 6410, 1864, 1701, 6355, 5443, 543, 1866, 3459, 547, 26416, 24759, 267, 18085, 1678, 2730, 543, 1164, 26370, 538, 1010, 2126, 540, 873, 563, 310, 13589, 547, 3595, 1864, 855, 4250, 532, 1065, 5142, 1023, 267, 789, 3357, 909, 609, 513, 10325, 547, 771, 4532, 2734, 622, 6028, 1864, 1510, 606, 16108, 269, 4340, 547, 2199, 14787, 31408, 717, 807, 519, 2749, 729, 17528, 547, 2445, 519, 9204, 621, 2877, 585, 2533, 269, 769, 476, 6942, 277, 267, 519, 2749, 20366, 547, 771, 4532, 2734, 622, 269, 1280, 519, 1985, 476, 2420, 1296, 267, 513, 12504, 781, 14643, 7307, 519, 2146, 269, 1635, 476, 6642, 271, 267, 519, 4884, 1185, 513, 2551, 540, 476, 3199, 272, 267, 676, 476, 6245, 271, 267, 621, 1185, 513, 2551, 540, 476, 273, 267, 277, 2918, 269, 24779, 689, 7147, 267, 17039, 543, 8828, 4993, 4547, 1007, 7264, 267, 945, 941, 6964, 676, 519, 3282, 2872, 282, 519, 2749, 556, 4532, 2734, 730, 593, 5130, 476, 1556, 267, 476, 6245, 279, 269, 2201, 5147, 476, 2641, 267, 476, 4198, 273, 267, 606, 13091, 13351, 693, 476, 275, 281, 7367, 993, 7414, 4303, 2775, 5384, 282, 519, 13091, 267, 799, 6027, 476, 278, 269, 276, 593, 519, 4090, 9588, 4336, 543, 729, 5433, 689, 5842, 12770, 547, 519, 11204, 8473, 267, 10032, 519, 7404, 2950, 540, 1855, 327, 778, 777, 328, 543, 1488, 9109, 269, 634, 13091, 781, 16160, 3196, 18761, 10412, 4610, 883, 772, 5546, 267, 1793, 573, 513, 13105, 540, 519, 1855, 327, 778, 777, 328, 15142, 2066, 782, 2185, 28961, 540, 519, 23374, 27953, 267, 25540, 513, 1216, 13486, 2870, 513, 8755, 6360, 267, 10032, 519, 16456, 25310, 538, 519, 7823, 5832, 563, 289, 5474, 7615, 729, 838, 1563, 269, 589, 1804, 1310, 3333, 1442, 7018, 593, 5147, 476, 3066, 267, 1705, 5634, 11265, 3441, 267, 855, 6659, 12194, 602, 519, 2095, 540, 519, 29443, 656, 11860, 1716, 22575, 1223, 581, 5906, 569, 12012, 14700, 519, 2749, 543, 4478, 2127, 269, 2991, 3333, 4169, 267, 585, 519, 1985, 3923, 267, 1185, 1831, 3339, 547, 645, 5474, 7615, 7264, 2394, 267, 593, 4864, 476, 2420, 693, 476, 274, 281, 5655, 10681, 267, 513, 476, 276, 269, 279, 13091, 13351, 2047, 896, 519, 4884, 781, 4099, 538, 519, 1034, 29822, 20651, 1858, 540, 519, 7013, 5842, 808, 10394, 23936, 9503, 269, 9050, 1004, 5747, 538, 519, 1310, 3333, 1442, 267, 930, 540, 519, 4884, 781, 8978, 3889, 13455, 5230, 3441, 269, 9737, 476, 3192, 271, 543, 476, 1001, 271, 267, 645, 5474, 7615, 8057, 476, 6110, 9077, 1818, 621, 835, 540, 519, 16595, 21212, 4872, 538, 4993, 269, 645, 5474, 7615, 781, 2673, 16133, 547, 7823, 10596, 519, 1855, 329, 517, 10426, 593, 3955, 8063, 476, 276, 1063, 519, 11968, 13353, 1558, 24227, 543, 519, 3844, 5842, 808, 10394, 23936, 9503, 267, 814, 1500, 519, 2749, 513, 6237, 6283, 13398, 269, 769, 476, 1960, 271, 267, 645, 5474, 7615, 729, 835, 540, 476, 1015, 772, 269, 590, 269, 2950, 547, 4309, 519, 2353, 29958, 320, 4975, 13815, 689, 519, 2817, 595, 15960, 13477, 269, 769, 476, 1001, 271, 267, 519, 645, 5474, 7615, 631, 6347, 1185, 513, 14407, 23195, 1587, 540, 1269, 3066, 269, 5379, 277, 5479, 267, 1818, 621, 519, 476, 10463, 6113, 28376, 23195, 4346, 538, 519, 2136, 2276, 563, 289, 5474, 7615, 6013, 2282, 519, 7013, 834, 4243, 525, 21539, 257, 1439, 540, 519, 5842, 808, 10394, 23936, 9503, 267, 609, 519, 7013, 9133, 540, 519, 23683, 21600, 1175, 547, 519, 7532, 269, 634, 2749, 7182, 8831, 547, 519, 14938, 334, 807, 2817, 11206, 267, 693, 519, 3723, 540, 519, 5682, 1817, 333, 13738, 16186, 543, 693, 519, 679, 454, 763, 4993, 11344, 29607, 267, 610, 519, 11344, 29607, 267, 568, 513, 2249, 540, 29607, 5065, 547, 4993, 269, 634, 11344, 29607, 568, 5065, 547, 13642, 24410, 339, 15880, 267, 26439, 334, 15880, 267, 519, 3162, 674, 1251, 918, 1716, 5211, 267, 621, 568, 519, 1533, 3165, 540, 4993, 269, 634, 4993, 11344, 29607, 568, 1644, 547, 1079, 22774, 29607, 28849, 282, 519, 9741, 918, 1716, 11344, 29607, 267, 1336, 538, 519, 9741, 918, 1716, 5211, 16935, 267, 519, 918, 1716, 5211, 22774, 29607, 267, 1336, 538, 519, 918, 1716, 5211, 1062, 269, 8625, 267, 891, 1614, 29607, 1106, 1018, 568, 3006, 5219, 547, 607, 519, 834, 326, 1245, 523, 29607, 1950, 21968, 519, 11344, 29607, 729, 4330, 607, 513, 28849, 540, 519, 13687, 2249, 267, 609, 513, 2012, 6428, 15879, 1250, 330, 1170, 989, 7699, 1532, 517, 7534, 267, 621, 568, 1869, 2808, 513, 28849, 2059, 609, 1896, 824, 22774, 29607, 28849, 1634, 607, 2699, 7171, 29607, 269, 12551, 26015, 543, 519, 18280, 690, 540, 674, 8460, 2705, 1631, 1592, 744, 269, 989, 340, 629, 517, 7534, 607, 606, 4830, 2249, 2864, 982, 607, 28849, 540, 744, 269, 1250, 330, 1170, 269, 2755, 594, 2316, 306, 8638, 744, 269, 544, 269, 3043, 328, 543, 744, 269, 544, 269, 575, 559, 6975, 328, 607, 28849, 540, 744, 269, 1250, 330, 1170, 267, 744, 269, 989, 340, 629, 517, 7534, 3079, 568, 7396, 607, 513, 2407, 2249, 269, 634, 11344, 29607, 814, 11344, 1166, 3471, 609, 2699, 267, 8880, 13164, 2059, 519, 14694, 3515, 593, 1142, 2427, 543, 827, 476, 1015, 4158, 267, 24814, 7436, 593, 1142, 2427, 563, 291, 832, 531, 543, 1387, 27634, 723, 3043, 3056, 8728, 269, 769, 741, 5065, 7226, 267, 4079, 2039, 689, 476, 277, 547, 476, 1321, 6279, 1279, 269, 12551, 936, 476, 1321, 6279, 616, 2808, 1804, 269, 13642, 29607, 602, 723, 1044, 1098, 680, 5896, 547, 12647, 723, 1044, 6592, 909, 547, 476, 1556, 6550, 282, 519, 11344, 29607, 1058, 581, 13747, 689, 519, 3957, 11344, 22774, 29607, 1634, 607, 519, 5493, 558, 3626, 29607, 269, 634, 11344, 22774, 568, 513, 2681, 14583, 540, 519, 22774, 29607, 282, 519, 11344, 29607, 568, 1336, 693, 6173, 725, 689, 476, 277, 267, 279, 3445, 3952, 547, 476, 1015, 267, 1822, 3952, 1657, 4262, 1377, 267, 568, 5065, 1152, 547, 4993, 781, 7013, 23683, 21600, 10239, 269, 31072, 540, 922, 5065, 2039, 538, 4993, 267, 13642, 29607, 616, 811, 1336, 538, 4963, 13196, 543, 524, 872, 802, 538, 19069, 2127, 1472, 476, 1015, 267, 4335, 1700, 1321, 267, 1822, 257, 266, 3564, 476, 1321, 267, 4335, 257, 266, 10596, 602, 616, 711, 1780, 762, 1510, 16081, 335, 976, 267, 4672, 17887, 267, 887, 6647, 2394, 1310, 519, 19549, 540, 5147, 267, 741, 9053, 1216, 2837, 568, 476, 6812, 547, 476, 7830, 11019, 293, 855, 789, 666, 20496, 5210, 538, 28811, 12535, 593, 519, 918, 1716, 17934, 879, 607, 1164, 607, 476, 3583, 11019, 293, 865, 1279, 607, 1346, 7297, 3579, 1282, 519, 3781, 269, 634, 1152, 824, 2249, 540, 3165, 6805, 547, 519, 5065, 2039, 540, 4993, 11344, 29607, 568, 519, 15762, 26963, 334, 647, 14982, 563, 763, 29131, 10794, 1299, 12551, 4972, 1533, 2594, 11344, 29607, 6027, 476, 2764, 538, 543, 26693, 476, 1556, 269, 1839, 18470, 267, 9575, 538, 13648, 8235, 267, 29131, 538, 476, 3707, 279, 269, 634, 30312, 11902, 834, 5472, 6874, 871, 548, 20099, 16680, 257, 585, 744, 269, 544, 269, 989, 340, 629, 517, 7534, 6027, 476, 2641, 538, 9575, 538, 13642, 8235, 267, 29131, 538, 476, 1001, 273, 269, 744, 269, 544, 269, 989, 340, 629, 517, 7534, 568, 5065, 547, 519, 7013, 23683, 21600, 267, 1519, 519, 5580, 3914, 543, 29815, 2456, 540, 519, 3162, 674, 1251, 540, 519, 918, 1716, 5211, 267, 13642, 24410, 339, 15880, 543, 922, 29815, 2456, 269, 898, 814, 1044, 5189, 538, 7366, 540, 12647, 543, 12535, 3544, 519, 5065, 2039, 267, 1498, 1034, 540, 891, 5095, 1705, 711, 2063, 610, 10316, 1242, 609, 2759, 628, 9130, 29607, 543, 824, 28849, 540, 22774, 29607, 269, 769, 476, 6245, 273, 519, 4993, 11344, 29607, 729, 4330, 676, 6424, 853, 1551, 16888, 267, 519, 1101, 5518, 540, 18628, 2160, 267, 607, 6428, 15879, 1250, 330, 1170, 989, 7699, 1532, 517, 7534, 282, 519, 3165, 729, 3957, 1310, 519, 3397, 7699, 12844, 7534, 4826, 6420, 1141, 519, 1101, 15013, 941, 6394, 267, 693, 519, 5023, 540, 26439, 334, 15880, 267, 693, 519, 524, 9127, 781, 1476, 26475, 609, 519, 918, 1716, 5211, 269, 589, 2540, 789, 941, 7396, 607, 2201, 14585, 1506, 333, 577, 639, 1250, 330, 1170, 989, 340, 629, 517, 7534, 538, 2142, 18255, 651, 781, 7111, 29607, 540, 7262, 3345, 3013, 563, 1103, 476, 5002, 275, 26791, 11977, 6519, 28078, 547, 1010, 3659, 5518, 31187, 17619, 267, 602, 936, 325, 5109, 1223, 1291, 547, 14486, 540, 519, 11344, 29607, 269, 769, 6519, 781, 3209, 634, 15142, 267, 646, 5206, 827, 519, 12219, 11344, 29607, 593, 4993, 779, 918, 1716, 17934, 879, 269, 17619, 3838, 6519, 779, 6161, 543, 267, 998, 772, 269, 590, 269, 12551, 30934, 6723, 631, 269, 645, 10183, 267, 771, 6312, 3481, 29489, 19258, 517, 25303, 17451, 10458, 540, 519, 772, 269, 590, 269, 13163, 540, 30656, 547, 1353, 519, 3510, 269, 769, 476, 5002, 277, 17451, 10458, 3370, 634, 13642, 24410, 339, 540, 519, 8828, 4400, 590, 1512, 6652, 269, 9122, 593, 19916, 267, 17451, 10458, 4330, 2185, 3029, 540, 713, 5065, 3165, 281, 6428, 15879, 887, 846, 15414, 328, 689, 13642, 24410, 339, 15880, 267, 6428, 15879, 989, 340, 629, 517, 7534, 689, 7404, 3162, 674, 1251, 540, 519, 918, 1716, 5211, 267, 6428, 15879, 3043, 328, 689, 519, 9741, 918, 1716, 5211, 267, 6428, 15879, 575, 559, 6975, 328, 267, 519, 918, 1716, 5211, 22774, 269, 18726, 2090, 723, 2094, 5587, 1881, 1614, 2516, 540, 29607, 5065, 547, 519, 918, 1716, 5211, 281, 4993, 11344, 29607, 5065, 547, 519, 3162, 674, 1251, 918, 1716, 5211, 543, 13642, 24410, 339, 15880, 267, 9741, 918, 1716, 5211, 11344, 29607, 267, 918, 1716, 5211, 22774, 29607, 269, 13012, 540, 21467, 343, 680, 334, 2787, 543, 6735, 609, 16678, 2249, 723, 4547, 11344, 29607, 547, 519, 1490, 1074, 540, 1373, 11280, 607, 834, 628, 805, 2989, 8487, 4504, 22004, 2156, 758, 29607, 856, 4818, 23176, 873, 585, 1426, 267, 5189, 6960, 29607, 10352, 593, 873, 543, 5189, 22774, 29607, 10316, 1125, 609, 873, 267, 14124, 519, 5065, 5444, 7535, 998, 703, 5766, 1833, 269, 7377, 2827, 723, 1044, 538, 11931, 7771, 585, 5756, 269, 769, 476, 3192, 279, 519, 13642, 24410, 339, 8187, 15227, 729, 3964, 1369, 769, 14623, 2817, 11206, 543, 14938, 334, 807, 2817, 11206, 267, 7863, 519, 5580, 7297, 515, 1091, 540, 519, 918, 1716, 5211, 543, 3162, 674, 1251, 918, 1716, 5211, 269, 769, 5181, 476, 1220, 275, 267, 519, 4993, 4972, 540, 12551, 543, 10794, 9896, 606, 6876, 609, 5313, 8041, 547, 960, 593, 19620, 1394, 28029, 787, 7226, 8697, 676, 936, 6588, 4506, 689, 12418, 543, 13265, 267, 607, 851, 540, 513, 3102, 5726, 4640, 282, 519, 2475, 29510, 15661, 2920, 11280, 519, 454, 4537, 27553, 10557, 717, 17311, 568, 606, 1977, 22267, 7674 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

[ 29372, 267, 543, 15293, 28725, 269, 1452, 11975, 616, 13631, 547, 20097, 676, 1585, 10291, 267, 971, 607, 20416, 610, 3308, 15128, 269, 1677, 7413, 32456, 1981, 267, 4775, 16015, 723, 7960, 1896, 2994, 269, 17616, 267, 789, 2824, 21224, 6753, 5402, 267, 1419, 7446, 2127, 609, 10053, 10664, 610, 11506, 14099, 602, 1683, 930, 1377, 540, 10703, 531, 618, 689, 1761, 11975, 269, 19627, 267, 16015, 4749, 31491, 720, 741, 20097, 676, 8720, 873, 609, 5070, 610, 11935, 1310, 18413, 5798, 269, 901, 2623, 6971, 519, 10171, 540, 7020, 676, 11617, 10122, 11975, 563, 2414, 2417, 1174, 875, 1114, 2188, 3310, 9566, 1967, 3928, 538, 1585, 14854, 2249, 267, 2015, 519, 1739, 912, 268, 634, 4527, 540, 5841, 8654, 2282, 21224, 17822, 814, 1044, 1336, 547, 771, 528, 1304, 24011, 13530, 950, 789, 10836, 689, 741, 20097, 269, 901, 2164, 538, 2799, 9019, 3928, 1813, 547, 32456, 610, 25874, 1354, 8757, 519, 5836, 563, 268, 26066, 1646, 2238, 666, 7369, 11824, 9249, 998, 11761, 610, 9552, 540, 10664, 3382, 267, 3056, 547, 2799, 4598, 543, 13438, 547, 11975, 563, 268, 8693, 1689, 5222, 593, 2837, 20816, 949, 1860, 24011, 1782, 3023, 12753, 2094, 1082, 14854, 2249, 8858, 2837, 17466, 3023, 8990, 563, 268, 12833, 5297, 2249, 31047, 10460, 606, 3606, 3463, 607, 789, 7519, 5065, 8134, 543, 5732, 2333, 23246, 11606, 563, 8368, 476, 272, 281, 11790, 14118, 9760, 25725, 29321, 11773, 454, 347, 25369, 31786, 1475, 295, 2255, 1782, 771, 528, 1304, 566, 2008, 347, 10870, 770, 531, 4886, 1475, 295, 629, 18945, 27327, 2008, 347, 20458, 7827, 1475, 307, 17687, 2360, 593, 3023, 8990, 2008, 347, 1103, 15230, 15661, 1475, 19102, 1078, 23246, 11606, 2008, 8139, 519, 4205, 1063, 891, 2188, 543, 741, 1198, 593, 9566, 1967, 3928, 568, 4105, 585, 3384, 2500, 5726, 2994, 269, 1635, 10893, 32456, 1981, 998, 7226, 2359, 267, 4227, 27643, 18063, 267, 543, 7598, 3800, 547, 11574, 2916, 1689, 5222, 267, 649, 666, 3986, 14854, 10285, 1967, 563, 1103, 519, 7766, 3296, 827, 18323, 7939, 1282, 29164, 267, 649, 786, 2263, 875, 2825, 2175, 1860, 519, 1646, 540, 14854, 24201, 1369, 20097, 269, 634, 1852, 540, 9566, 5210, 4249, 513, 2629, 1909, 538, 8159, 24011, 1782, 6668, 543, 2551, 6384, 563, 307, 17687, 7939, 1282, 29164, 454, 307, 31103, 3115, 3174, 281, 29362, 585, 519, 25725, 543, 32202, 18857, 1284, 1962, 532, 454, 314, 2316, 307, 4041, 316, 18323, 7939, 1282, 29164, 454, 314, 15045, 3198, 10485, 3582, 316, 11109, 8268, 519, 4070, 540, 20097, 538, 519, 3105, 3296, 267, 649, 1631, 2490, 938, 3007, 547, 1776, 2629, 2460, 540, 14854, 12093, 281, 2837, 7939, 1282, 29164, 563, 18823, 889, 566, 2837, 4249, 513, 2565, 1909, 538, 8159, 519, 3023, 5223, 540, 24011, 13530, 269, 1280, 1383, 267, 538, 513, 1353, 5342, 593, 15195, 16015, 267, 3173, 1336, 602, 5798, 17861, 730, 693, 2539, 5210, 630, 19925, 476, 2918, 9180, 264, 3812, 15866, 5256, 15556, 267, 1247, 2362, 5210, 630, 19925, 476, 3953, 9180, 264, 8507, 538, 4775, 1532, 328, 1078, 3023, 12753, 269, 901, 7613, 267, 1634, 607, 2837, 17466, 3023, 8990, 630, 15056, 1070, 8711, 519, 8417, 540, 14854, 24201, 547, 2825, 2175, 563, 314, 289, 8085, 4041, 307, 18161, 19860, 700, 8780, 2639, 2414, 2417, 9414, 519, 1764, 540, 2837, 593, 25782, 1646, 912, 268, 4400, 5210, 666, 17108, 25782, 2208, 855, 949, 849, 2333, 9019, 3928, 563, 268, 1160, 14075, 539, 4598, 547, 3665, 3002, 666, 1291, 547, 9402, 7387, 1646, 610, 1256, 2669, 563, 268, 590, 5844, 2242, 538, 2837, 1369, 519, 9566, 666, 2014, 11095, 17244, 563, 268, 15346, 518, 5210, 1282, 2038, 5933, 540, 29164, 949, 1267, 538, 16607, 554, 10248, 610, 4130, 13355, 24011, 13530, 563, 347, 18823, 889, 566, 18323, 1475, 29189, 22472, 2008, 1607, 3349, 5693, 9727, 875, 1114, 9832, 540, 29164, 5210, 3310, 519, 4611, 3023, 5223, 1851, 24011, 13530, 269, 898, 19156, 519, 10347, 3666, 2838, 585, 3811, 10285, 4093, 543, 11363, 519, 991, 585, 5726, 3646, 6322, 693, 8497, 6099, 21224, 9249, 563, 1103, 5758, 267, 1620, 543, 5883, 2837, 7939, 1282, 29164, 568, 1898, 585, 4180, 2635, 5095, 540, 16015, 269, 634, 16799, 1063, 19355, 5210, 543, 25782, 1646, 814, 2484, 23568, 6286, 711, 1152, 585, 1367, 2249, 855, 849, 585, 5117, 6384, 607, 513, 2898, 269, 769, 1769, 540, 891, 4681, 267, 1577, 721, 1631, 5490, 883, 519, 1985, 3942, 540, 14854, 12093, 281, 25782, 1646, 563, 314, 15045, 3198, 10485, 3582, 316, 2060, 513, 6109, 9787, 593, 2837, 7939, 1282, 29164, 267, 649, 1631, 6521, 938, 1445, 547, 519, 6946, 1184, 540, 25782, 1646, 563, 307, 17687, 7939, 1282, 29164, 568, 513, 2629, 3815, 538, 8159, 519, 3811, 1646, 540, 14854, 24201, 269, 634, 3105, 3296, 12006, 875, 2837, 5540, 25782, 2208, 543, 3023, 8990, 267, 855, 1631, 1577, 779, 5490, 883, 519, 4241, 1184, 540, 25782, 1646, 3294, 563, 7628, 29164, 267, 14854, 5798, 10929, 1896, 5933, 540, 1646, 1354, 554, 10248, 269, 901, 1184, 3335, 3217, 9170, 689, 476, 3393, 547, 476, 3445, 2395, 267, 4470, 593, 519, 2249, 543, 2825, 2175, 269, 1677, 9414, 713, 267, 1577, 779, 2015, 519, 19858, 2013, 1353, 540, 8298, 3455, 3650, 16015, 630, 22512, 1777, 320, 1416, 1777, 320, 1040, 10801, 741, 29164, 1974, 267, 8298, 3455, 3650, 24201, 3356, 998, 3982, 5933, 971, 607, 1579, 822, 720, 267, 8819, 337, 1637, 267, 1418, 14003, 267, 543, 6368, 267, 24011, 1782, 5250, 563, 21615, 787, 657, 1020, 6385, 1369, 741, 8825, 16115, 269, 7581, 822, 720, 7436, 519, 3355, 6498, 540, 2281, 1310, 22289, 1247, 8819, 337, 1637, 3322, 1591, 9194, 543, 15285, 547, 1106, 10351, 6106, 269, 5029, 14003, 1287, 5205, 9290, 607, 8219, 2253, 547, 1491, 3337, 543, 1599, 269, 7053, 267, 1310, 11264, 891, 6946, 11095, 3157, 267, 24011, 13530, 10836, 689, 741, 5798, 17850, 338, 4712, 547, 6330, 741, 1259, 2509, 519, 5836, 563, 2414, 18427, 606, 3929, 3210, 3823, 519, 13438, 5185, 676, 14854, 24201, 1282, 29164, 267, 1934, 568, 513, 16886, 1448, 1592, 10223, 930, 2591, 789, 7237, 912, 268, 17290, 4027, 1996, 11975, 563, 268, 12246, 1061, 2225, 547, 2837, 15088, 563, 268, 23977, 1676, 1464, 547, 13596, 610, 3676, 563, 268, 15783, 4220, 15054, 676, 1480, 2238, 2282, 21224, 4609, 563, 12234, 267, 585, 2417, 1764, 593, 3988, 685, 4664, 827, 519, 6526, 1006, 540, 14854, 24011, 13530, 685, 6668, 3460, 267, 2630, 568, 513, 3349, 15386, 1585, 6937, 789, 3068, 693, 1114, 5933, 912, 347, 301, 20535, 1475, 303, 1042, 2209, 1475, 24965, 1027, 804, 8553, 1967, 2008, 347, 18823, 889, 566, 1475, 307, 17687, 15088, 1475, 6781, 7538, 1646, 2008, 347, 8070, 268, 1002, 577, 1475, 20332, 11975, 1475, 11947, 9019, 3928, 2008, 2026, 649, 2263, 519, 11944, 540, 24011, 13530, 538, 519, 7766, 3296, 267, 621, 568, 2629, 547, 1174, 875, 891, 11095, 5933, 1305, 519, 5748, 585, 741, 6668, 543, 9542, 269, 634, 6946, 3157, 602, 2049, 1369, 519, 14854, 5798, 3337, 711, 1152, 1367, 16015, 685, 2729, 855, 849, 3565, 547, 4509, 2635, 5095, 540, 891, 7415, 7068, 538, 938, 8134, 563, 28770, 10885, 540, 24011, 13530, 454, 21615, 787, 4577, 1646, 568, 513, 2629, 3942, 538, 519, 10285, 4783, 540, 16015, 543, 12475, 334, 2478, 269, 4438, 713, 1184, 267, 519, 6992, 1242, 5798, 10929, 1713, 2242, 607, 789, 1020, 883, 4628, 4646, 24011, 13530, 269, 4197, 519, 14960, 540, 25782, 1646, 666, 1683, 3407, 4030, 883, 519, 1272, 4783, 540, 891, 20641, 563, 2690, 3236, 267, 1577, 779, 2015, 519, 2013, 1353, 540, 519, 16463, 3724, 4262, 14854, 630, 291, 1069, 28970, 569, 338, 1351, 807, 576, 320, 1040, 901, 2249, 568, 1634, 585, 922, 2189, 10285, 4640, 267, 1141, 8951, 2482, 741, 5798, 593, 22501, 17822, 269, 4495, 9788, 267, 891, 5798, 616, 2451, 547, 17861, 622, 896, 519, 14246, 540, 519, 3141, 269, 3683, 513, 1974, 540, 1896, 4374, 267, 606, 5044, 540, 12214, 3157, 1491, 1747, 1369, 1142, 4212, 267, 3056, 547, 519, 5250, 543, 2208, 540, 1585, 4105, 8219, 543, 3889, 563, 2414, 1732, 10146, 891, 11095, 2242, 267, 1934, 616, 930, 1883, 3344, 2404, 609, 14854, 21872, 1646, 912, 268, 22050, 337, 1637, 281, 901, 3355, 5123, 3322, 519, 7004, 540, 513, 2582, 2000, 599, 1229, 19046, 3121, 883, 513, 8819, 337, 3121, 12544, 3818, 2000, 599, 1229, 2497, 602, 3029, 1114, 10351, 6106, 4758, 4473, 547, 1808, 8031, 563, 268, 5029, 14003, 281, 1306, 24201, 3356, 2417, 538, 741, 1646, 267, 1418, 14003, 4386, 269, 901, 6946, 1184, 2164, 538, 519, 5250, 543, 15285, 540, 2101, 8219, 971, 607, 2295, 267, 9641, 267, 2634, 267, 543, 17873, 563, 268, 2836, 322, 2305, 281, 6271, 2565, 2460, 1282, 25782, 1646, 568, 18287, 2305, 9789, 18254, 540, 7513, 20919, 5196, 3384, 7633, 610, 16115, 269, 2836, 322, 2305, 2488, 7293, 8699, 543, 4027, 547, 17866, 8031, 1996, 5007, 12503, 610, 5222, 563, 268, 5450, 18982, 2670, 281, 769, 1978, 2249, 899, 15195, 16015, 630, 324, 3052, 1421, 932, 787, 9895, 903, 3182, 320, 1070, 23009, 2670, 3217, 1747, 1310, 554, 10248, 269, 2311, 713, 3942, 267, 2168, 14759, 2049, 602, 1450, 873, 547, 3082, 689, 606, 12748, 6197, 607, 16793, 547, 513, 811, 18714, 835, 607, 4079, 563, 2414, 5490, 4514, 883, 1620, 25782, 1646, 538, 16015, 543, 12475, 334, 2478, 267, 621, 949, 581, 5363, 547, 3277, 547, 7305, 476, 272, 2630, 912, 18871, 548, 822, 720, 1475, 15900, 1591, 15523, 1739, 22289, 602, 2285, 4473, 547, 513, 19046, 3121, 8198, 347, 294, 770, 337, 1637, 1475, 13528, 566, 540, 519, 1614, 3119, 10351, 6106, 281, 28341, 25866, 267, 8544, 25866, 267, 543, 1439, 25866, 8198, 347, 16391, 14003, 1475, 17843, 2747, 543, 1646, 540, 2101, 8219, 543, 3889, 8198, 347, 295, 10248, 1475, 28770, 10885, 540, 4628, 4646, 24011, 13530, 689, 741, 5798, 8198, 1607, 3349, 2488, 513, 13151, 3307, 7650, 540, 519, 1585, 5933, 3238, 538, 25782, 1646, 563, 2026, 649, 2263, 2417, 883, 519, 1272, 4783, 540, 16015, 543, 12475, 334, 2478, 267, 938, 3007, 1631, 7140, 547, 519, 1888, 540, 15366, 1416, 540, 24011, 13530, 269, 4197, 875, 891, 20641, 1683, 585, 741, 15556, 1310, 554, 10248, 568, 1898, 585, 11543, 513, 3102, 1620, 540, 741, 10285, 2994, 543, 6668, 6127, 563, 21122, 531, 1416, 540, 24011, 13530, 454, 9558, 819, 532, 689, 519, 3105, 3296, 593, 519, 11944, 540, 24011, 13530, 267, 649, 1631, 5490, 883, 519, 4241, 7706, 540, 21224, 2623, 538, 16015, 543, 12475, 334, 2478, 269, 1677, 9414, 713, 7613, 267, 1577, 779, 2015, 513, 2013, 1353, 5473, 513, 4775, 2845, 3455, 3650, 14854, 630, 22512, 1777, 320, 1416, 1777, 320, 264, 3957, 645, 7578, 563, 301, 20535, 5615, 4268, 2066, 1114, 2249, 267, 855, 789, 3622, 4125, 1896, 1455, 5933, 912, 268, 29922, 606, 3617, 4087, 281, 1879, 8600, 547, 2482, 1200, 5798, 267, 645, 7578, 23939, 12220, 1761, 21224, 4609, 2059, 519, 22501, 17822, 269, 2701, 11394, 2127, 609, 6099, 5070, 2837, 543, 7509, 2157, 547, 2327, 3811, 29164, 563, 268, 6226, 3101, 519, 9566, 281, 4495, 645, 7578, 814, 6074, 513, 5078, 5544, 267, 1352, 5956, 20857, 1210, 1200, 3532, 1166, 26802, 269, 2060, 7415, 8856, 267, 1352, 5932, 513, 2620, 13570, 602, 786, 16102, 1200, 10475, 804, 8553, 689, 11975, 543, 2825, 2188, 563, 268, 700, 11691, 5798, 281, 2991, 11264, 519, 26995, 1184, 267, 645, 7578, 5402, 12074, 1142, 1367, 4212, 883, 519, 9566, 12068, 269, 8298, 3455, 3650, 16015, 3335, 2482, 1472, 476, 1911, 547, 476, 14695, 5798, 829, 804, 8553, 267, 3246, 2104, 5481, 609, 15792, 4316, 585, 6668, 563, 1607, 21224, 2623, 568, 711, 2189, 547, 645, 7578, 282, 1082, 14854, 543, 12475, 18857, 2249, 8858, 2147, 3270, 950, 621, 2501, 547, 12093, 269, 1677, 2417, 5031, 741, 2956, 538, 8497, 891, 15999, 7068, 267, 1577, 721, 2263, 930, 1883, 4128, 1946, 1620, 21224, 2623, 568, 2629, 912, 268, 11094, 3646, 281, 1635, 4974, 21224, 6208, 267, 5726, 1235, 666, 2697, 2565, 9249, 602, 991, 4027, 543, 2936, 3800, 547, 2327, 2922, 9960, 12406, 585, 891, 20641, 563, 268, 11310, 540, 2551, 6384, 281, 4197, 1141, 16015, 543, 12475, 334, 2478, 4782, 547, 9566, 2636, 3173, 547, 7447, 2551, 7306, 811, 8308, 543, 6895, 2242, 936, 942, 563, 268, 8693, 1689, 1382, 281, 715, 20535, 2623, 2488, 3407, 5813, 883, 875, 8375, 5210, 1764, 10285, 1967, 3928, 1851, 891, 4411, 15918, 797, 539, 2831, 563, 268, 12409, 3255 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

[ 0, 6637, 476, 1626, 281, 10289, 8535, 998, 966, 5914, 32310, 692, 5970, 596, 2479, 8068, 875, 930, 2206, 619, 3100, 547, 723, 2789, 9739, 286, 1358, 666, 6467, 1063, 3280, 532, 1164, 543, 2011, 344, 267, 899, 513, 6177, 13465, 267, 547, 2620, 543, 3532, 267, 899, 513, 17794, 887, 2130, 256, 901, 5863, 2702, 568, 1813, 547, 1945, 1572, 13047, 14261, 780, 2414, 1174, 1018, 13047, 14261, 1797, 267, 1577, 781, 1101, 2911, 827, 707, 5639, 4216, 267, 849, 1634, 607, 519, 561, 28449, 269, 18738, 707, 561, 28449, 616, 1079, 6263, 6091, 1572, 13047, 27871, 602, 5854, 622, 950, 596, 3717, 610, 2206, 269, 1635, 14577, 519, 8082, 543, 11098, 540, 891, 27871, 267, 596, 1711, 1114, 4992, 1107, 713, 568, 1141, 13047, 14261, 2501, 883, 1404, 2439, 5331, 2348, 513, 1305, 540, 2679, 7161, 609, 8795, 7306, 269, 1411, 666, 1628, 3889, 1210, 1152, 835, 2450, 3625, 267, 855, 952, 596, 9192, 873, 8335, 267, 596, 1205, 2189, 3889, 269, 6684, 267, 13047, 14261, 2636, 721, 547, 946, 1585, 10659, 540, 938, 13047, 27871, 547, 3132, 3982, 2010, 540, 4992, 269, 1452, 3604, 1267, 538, 2185, 1292, 13047, 27861, 281, 13047, 26650, 267, 1110, 531, 630, 3832, 560, 264, 11578, 267, 535, 1023, 564, 1729, 630, 3650, 264, 11578, 267, 543, 27646, 11578, 780, 4131, 781, 2263, 1142, 835, 1384, 272, 269, 2878, 309, 5914, 674, 787, 4995, 4746, 1572, 1350, 582, 2145, 26650, 610, 13942, 13093, 566, 267, 713, 9803, 11578, 5932, 513, 1402, 4771, 610, 678, 3430, 1782, 3280, 693, 519, 1394, 540, 707, 11563, 269, 6056, 540, 2576, 708, 23550, 513, 3684, 7784, 610, 4358, 513, 27576, 2599, 910, 1346, 18574, 569, 4992, 2099, 13047, 26650, 269, 2755, 649, 1810, 1405, 3335, 946, 713, 11578, 1247, 6340, 610, 13465, 267, 3006, 2206, 619, 8415, 621, 585, 2027, 2360, 780, 7078, 281, 8347, 21757, 707, 11563, 9900, 267, 9878, 3007, 547, 519, 18388, 532, 14815, 538, 707, 8405, 269, 2334, 781, 13047, 26650, 2439, 273, 269, 2878, 9556, 531, 19193, 1262, 630, 10193, 1634, 607, 9221, 5639, 2567, 4107, 1004, 5097, 946, 741, 1110, 531, 5639, 1282, 2834, 4633, 543, 4948, 2238, 269, 1879, 596, 5873, 2576, 6158, 10978, 569, 610, 6612, 2299, 267, 789, 2811, 2693, 1210, 741, 1110, 531, 11578, 269, 7327, 619, 2308, 713, 2178, 543, 2407, 1532, 617, 1221, 3280, 585, 1082, 2442, 8964, 780, 7078, 281, 17166, 834, 31435, 257, 3196, 2685, 607, 952, 3843, 547, 3914, 2576, 2484, 2476, 269, 18564, 519, 22298, 2298, 540, 707, 5639, 910, 602, 781, 1110, 531, 5639, 2439, 274, 269, 2878, 293, 1023, 564, 1729, 19193, 1262, 630, 528, 2212, 5639, 2567, 17451, 6836, 13147, 10107, 513, 20419, 1915, 609, 513, 2706, 1164, 1790, 17097, 2695, 324, 21294, 5639, 286, 932, 1734, 616, 596, 1031, 707, 535, 1023, 564, 1729, 11578, 256, 10705, 2404, 609, 4775, 521, 641, 3757, 657, 610, 5256, 4557, 832, 543, 4831, 1084, 832, 267, 535, 1023, 564, 1729, 2164, 689, 17159, 13047, 10260, 8082, 3850, 1152, 9864, 3346, 2059, 741, 3259, 780, 7078, 281, 9966, 519, 19820, 540, 834, 23562, 30257, 3828, 30257, 9741, 10060, 2437, 1287, 2119, 547, 979, 2362, 8486, 3481, 982, 8912, 269, 1403, 596, 8011, 267, 596, 1175, 9411, 519, 7706, 540, 535, 1023, 564, 1729, 2439, 275, 269, 2878, 2662, 16824, 19193, 4995, 1306, 922, 2012, 5267, 267, 713, 5207, 11578, 20998, 513, 27646, 6438, 3280, 3812, 676, 3665, 30034, 543, 15198, 540, 519, 13047, 27871, 269, 8307, 513, 1906, 2043, 1765, 2865, 28020, 22968, 22256, 3057, 11672, 5516, 344, 1765, 4754, 1569, 713, 4686, 30829, 2039, 780, 12244, 281, 19415, 547, 19827, 10023, 5159, 15386, 1114, 13047, 27861, 269, 11559, 1362, 4901, 7114, 799, 2694, 4866, 547, 1142, 7121, 269, 1280, 1383, 267, 6432, 547, 18724, 2284, 20279, 781, 834, 296, 4024, 11408, 11146, 1411, 257, 10223, 1200, 5912, 1063, 9221, 543, 2212, 9739, 269, 2107, 2972, 7812, 12722, 781, 834, 3891, 531, 519, 2622, 257, 13031, 1010, 5347, 6521, 883, 535, 1023, 564, 1729, 269, 1656, 6368, 267, 14952, 693, 3057, 11672, 5516, 344, 781, 834, 10387, 19600, 257, 11744, 11141, 6165, 540, 27646, 11578, 780, 3528, 1620, 13047, 14261, 267, 649, 5660, 519, 10848, 3238, 538, 2870, 2575, 543, 11589, 4664, 998, 5152, 269, 1924, 1985, 942, 596, 6432, 547, 2575, 267, 2628, 2673, 3007, 547, 519, 9739, 543, 1294, 952, 596, 666, 2697, 1022, 10593, 1851, 891, 4241, 13047, 9832, 256, 0, 2080, 568, 606, 1349, 689, 513, 2546, 281, 834, 4596, 309, 21068, 8863, 2975, 8980, 302, 5889, 261, 258, 343, 736, 3722, 282, 261, 258, 343, 18891, 273, 282, 306, 654, 12239, 590, 18510, 7838, 7034, 454, 23077, 16249, 10396, 5990, 667, 8104, 454, 9915, 4488, 24361, 595, 22664, 11123, 22400, 18161, 302, 6224, 454, 291, 3198, 10911, 2177, 2562, 717, 4353, 2464, 2475, 589, 570, 21788, 454, 288, 595, 772, 590, 570, 744, 631, 670, 744, 631, 661, 654, 594, 570, 670, 595, 772, 700, 307, 772, 681, 589, 700, 590, 594, 717, 715, 594, 674, 594, 595, 589, 715, 595, 661, 454, 299, 633, 5020, 3203, 2685, 14970, 621, 1934, 1743, 1722, 9188, 793, 338, 2593, 454, 298, 527, 7770, 1299, 24872, 22456, 454, 290, 700, 594, 661, 715, 570, 674, 744, 595, 772, 590, 661, 667, 667, 661, 590, 594, 717, 715, 12882, 261, 258, 343, 1001, 292, 282, 391, 502, 590, 594, 715, 595, 661, 476, 272, 476, 280, 476, 279, 476, 278, 269, 717, 700, 661, 715, 661, 700, 700, 312, 715, 2073, 594, 700, 700, 594, 715, 744, 594, 590, 476, 279, 476, 279, 476, 279, 1547, 476, 275, 476, 273, 476, 273, 1547, 476, 271, 476, 272, 476, 272, 476, 271, 454, 2005, 779, 711, 827, 519, 10278, 267, 898, 779, 827, 23630, 519, 6788, 634, 10278, 585, 11005, 267, 16134, 543, 13418, 269, 2060, 1614, 5195, 540, 15999, 3043, 22501, 17822, 543, 17288, 19317, 9475, 540, 23594, 1222, 17075, 267, 621, 779, 2760, 1044, 4443, 547, 1289, 513, 1747, 1753, 269, 3776, 1360, 1378, 623, 2863, 320, 2052, 320, 4139, 23076, 18715, 606, 4674, 1652, 3460, 689, 519, 23525, 547, 519, 25211, 540, 938, 589, 8150, 12866, 27339, 13815, 20421, 32202, 32256, 7345, 23392, 543, 634, 4639, 514, 623, 2863, 659, 3570, 1763, 677, 1299, 11833, 563, 294, 14442, 334, 623, 2863, 659, 3570, 22842, 476, 2004, 1296, 8149, 547, 4264, 9235, 538, 519, 29401, 6243, 269, 32202, 32256, 7345, 23392, 267, 634, 4639, 514, 623, 2863, 659, 3570, 6231, 8620, 606, 2502, 543, 3015, 1576, 1770, 538, 513, 1837, 585, 1647, 1153, 1053, 1644, 547, 519, 1349, 1657, 267, 2519, 593, 631, 4785, 2975, 1315, 19019, 1299, 5530, 1315, 20429, 1315, 966, 5914, 32310, 269, 898, 1058, 581, 3358, 585, 1647, 1153, 1053, 1510, 1991, 1702, 593, 519, 1888, 780, 2521, 547, 1384, 268, 3629, 2143, 3137, 267, 2057, 2930, 3822, 267, 543, 1459, 519, 2093, 538, 513, 3551, 267, 2239, 3159, 563, 268, 3417, 1806, 547, 1118, 519, 1641, 3839, 543, 3078, 585, 1762, 1647, 1153, 1053, 269, 3097, 268, 1684, 711, 2446, 519, 1357, 1349, 538, 519, 1837, 543, 798, 711, 1331, 513, 2140, 610, 2606, 2453, 267, 596, 1058, 2328, 519, 1543, 2047, 269, 0, 769, 1394, 326, 2459, 517, 267, 18644, 543, 2215, 532, 616, 1079, 2629, 2994, 1031, 547, 2744, 606, 5413, 936, 707, 18545, 269, 1452, 12485, 4125, 22392, 519, 13307, 540, 2638, 619, 593, 519, 4604, 547, 3625, 707, 18545, 781, 7575, 1247, 8195, 2870, 3255, 585, 3054, 269, 2913, 721, 5490, 4514, 883, 891, 2553, 543, 2263, 875, 789, 3565, 547, 519, 2949, 29863, 1995, 780, 1262, 295, 9231, 16001, 4263, 922, 4295, 267, 18644, 4016, 547, 519, 957, 540, 13941, 513, 2638, 518, 593, 606, 18545, 781, 1025, 582, 630, 534, 1367, 2638, 518, 30939, 513, 1448, 1070, 7551, 11488, 621, 547, 519, 3046, 269, 901, 2962, 3927, 18788, 519, 18545, 781, 4062, 689, 519, 4604, 2394, 789, 5066, 513, 1297, 602, 2636, 873, 547, 556, 268, 10938, 519, 2638, 518, 5196, 519, 4604, 269, 670, 9231, 568, 513, 3532, 4640, 950, 13401, 7157, 1317, 621, 7519, 338, 707, 18545, 781, 3356, 543, 4229, 873, 547, 1445, 593, 556, 268, 550, 1359, 741, 4773, 2864, 982, 2679, 2798, 543, 14027, 2509, 12946, 1055, 780, 2414, 11694, 519, 7145, 540, 713, 4480, 267, 2015, 14139, 519, 1739, 4485, 1384, 265, 2878, 307, 13759, 1164, 17032, 1025, 1824, 4995, 13667, 547, 5734, 1025, 1824, 4092, 593, 1883, 2798, 602, 1131, 3648, 1764, 707, 18545, 781, 2702, 547, 1628, 6305, 3889, 610, 4434, 741, 824, 2638, 619, 269, 1280, 1383, 267, 3077, 1154, 1025, 1824, 593, 2798, 11105, 547, 4540, 22136, 610, 17527, 2798, 786, 1118, 621, 811, 2352, 585, 707, 18545, 547, 9156, 563, 265, 2878, 14611, 1555, 8112, 4995, 2142, 13533, 540, 707, 1378, 17568, 1310, 22589, 513, 5734, 269, 5269, 2386, 596, 2226, 2614, 10688, 547, 4431, 547, 1022, 4831, 3430, 2931, 610, 11941, 707, 18545, 1522, 1118, 538, 3210, 269, 3680, 6028, 2565, 10616, 538, 707, 2497, 602, 1223, 581, 3362, 6098, 563, 265, 2878, 12901, 4602, 622, 29156, 4995, 1879, 12902, 29156, 267, 2141, 2015, 1312, 519, 2040, 4364, 1871, 543, 519, 7368, 1871, 540, 519, 18062, 269, 8935, 7632, 2709, 2799, 7399, 585, 1818, 16125, 267, 865, 1491, 2407, 5413, 540, 891, 20061, 8164, 2009, 269, 1717, 267, 849, 3635, 13657, 711, 547, 16616, 707, 1378, 2638, 619, 11032, 947, 3320, 1282, 971, 8942, 780, 1262, 22958, 532, 16001, 288, 6305, 568, 513, 15654, 3126, 540, 13026, 2798, 602, 9673, 1206, 606, 18545, 781, 3350, 543, 1569, 547, 1808, 2127, 540, 519, 4604, 269, 8490, 513, 6305, 3322, 21825, 11093, 2638, 619, 593, 20422, 2798, 267, 8108, 513, 11064, 602, 17837, 1590, 6330, 1472, 610, 2736, 998, 269, 1635, 14335, 2500, 22136, 267, 596, 3970, 707, 18545, 781, 3681, 543, 1711, 3255, 547, 18645, 3606, 2798, 610, 5965, 585, 7703, 11325, 780, 2080, 616, 930, 4388, 585, 3811, 2215, 532, 1384, 265, 2878, 26368, 4998, 6753, 4995, 10312, 593, 14335, 22136, 538, 6810, 540, 519, 4604, 1141, 789, 666, 2014, 1713, 17522, 547, 707, 18545, 781, 4566, 269, 27814, 267, 2832, 547, 3715, 22136, 2282, 707, 18545, 781, 12979, 1819, 2638, 619, 610, 2059, 10092, 3056, 2509, 741, 3119, 6662, 630, 324, 3052, 1421, 741, 476, 272, 15304, 1916, 265, 2878, 1805, 21880, 6533, 4617, 9634, 4995, 1306, 596, 1628, 707, 6305, 267, 2327, 602, 972, 616, 1100, 7925, 2798, 1369, 519, 2497, 602, 1223, 581, 3362, 6098, 676, 707, 18545, 269, 16237, 6533, 4617, 9634, 676, 4946, 3063, 2638, 619, 547, 1346, 7158, 610, 17923, 873, 609, 1489, 689, 7404, 2798, 563, 265, 2878, 3849, 2194, 1759, 593, 2796, 4995, 25506, 950, 621, 949, 581, 6225, 547, 17303, 10205, 610, 12189, 707, 6305, 952, 3257, 865, 5932, 1007, 3255, 11992, 593, 519, 4604, 269, 21253, 2225, 538, 15268, 547, 4657, 6381, 568, 1898, 585, 4509, 1852, 2429, 519, 3014, 780, 3528, 13215, 519, 1148, 540, 18644, 543, 2215, 532, 267, 596, 3986, 707, 7580, 3206, 543, 3375, 6194, 5759, 538, 1394, 326, 2459, 517, 269, 14146, 532, 891, 2553, 6087, 596, 547, 11851, 2604, 593, 707, 17837, 267, 31194, 593, 741, 9073, 267, 543, 6038, 2333, 707, 8458, 540, 10888, 269, 5548, 1324, 2620, 883, 891, 3344, 540, 519, 3014, 11942, 513, 21950, 1620, 540, 1394, 326, 2459, 517, 11707, 543, 8309, 547, 513, 811, 2502, 543, 14785, 4730, 1995, 269, 0, 2080, 568, 606, 1349, 689, 513, 2546, 912, 257, 289, 564, 18458, 4563, 329, 871, 13095, 1091, 30080, 454, 1103, 332, 1039, 527, 517, 331, 267, 4730, 7270, 602, 946, 513, 30908, 560, 1389, 2203, 899, 932, 3518, 320, 16629, 3626, 666, 16155, 5512, 25877, 11080, 585, 2724, 26065, 269, 1924, 1018, 2409, 1281, 519, 9952, 3109, 329, 871, 16045, 946, 547, 10726, 519, 593, 1899, 25877, 267, 1577, 4805, 519, 1543, 1570, 2326, 269, 3807, 28492, 891, 616, 9120, 6310, 15004, 799, 838, 527, 856, 17542, 540, 2338, 829, 2034, 267, 602, 1058, 711, 581, 513, 2601, 585, 15372, 269, 634, 10243, 568, 1851, 519, 5207, 538, 519, 593, 11060, 13989, 2872, 563, 7021, 476, 273, 269, 276, 17644, 9669, 914, 338, 1500, 676, 5716, 723, 547, 581, 5116, 593, 8766, 12918, 2362, 982, 610, 3160, 547, 476, 272, 269, 1015, 269, 1403, 519, 3683, 476, 273, 269, 276, 17644, 9669, 616, 17479, 538, 513, 3575, 7328, 1505, 267 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

[ 1174, 1142, 3693, 1577, 803, 2671, 930, 2081, 28001, 1143, 16621, 873, 883, 3232, 1272, 543, 12738, 1384, 2162, 21344, 6052, 10046, 692, 3528, 9301, 519, 16799, 1851, 891, 2609, 267, 28001, 1235, 3494, 789, 666, 2226, 1697, 1648, 2095, 630, 304, 328, 1040, 1280, 1383, 267, 952, 835, 7959, 22376, 1375, 880, 630, 1729, 334, 1454, 3047, 1070, 8026, 2238, 4448, 547, 9605, 1223, 3142, 1394, 11466, 780, 2162, 23046, 13756, 692, 5278, 7067, 23857, 4019, 519, 3741, 540, 18961, 2473, 532, 269, 3600, 1575, 9417, 584, 1235, 7696, 19271, 2059, 5789, 573, 2103, 7222, 547, 1978, 8219, 6766, 676, 1880, 2609, 269, 4935, 267, 5466, 20817, 5012, 547, 4824, 1072, 780, 2162, 674, 1263, 1744, 14241, 692, 293, 3599, 25786, 11647, 1759, 593, 1627, 328, 4287, 286, 9373, 674, 1263, 1744, 14241, 267, 1141, 9439, 21825, 1747, 3615, 2687, 547, 519, 12866, 15689, 3069, 547, 3986, 2318, 1648, 10009, 3330, 5656, 780, 6962, 454, 29603, 8139, 519, 12866, 15689, 538, 28001, 1143, 10741, 909, 513, 2898, 1007, 5133, 593, 19825, 2470, 267, 1480, 2623, 267, 543, 17035, 269, 8921, 942, 950, 11287, 519, 4657, 12405, 610, 10452, 593, 2123, 7592, 267, 3314, 519, 10752, 540, 8381, 267, 9605, 267, 3047, 267, 19045, 267, 543, 4826, 269, 1358, 7618, 721, 602, 3388, 538, 1272, 568, 10562, 543, 7683, 9687, 269, 0, 2080, 568, 606, 1349, 689, 513, 2546, 912, 257, 3279, 334, 1143, 7269, 676, 476, 6344, 271, 2781, 454, 267, 28001, 1143, 2523, 8032, 519, 1646, 540, 26960, 630, 313, 523, 264, 13221, 267, 10962, 2609, 899, 519, 1523, 540, 2067, 1145, 267, 1253, 6412, 540, 27403, 543, 1257, 267, 543, 8561, 593, 8508, 834, 10472, 1272, 257, 543, 2713, 538, 519, 834, 22336, 2173, 30291, 257, 907, 634, 2165, 546, 14504, 334, 10202, 14504, 582, 14243, 630, 421, 479, 497, 10533, 492, 23523, 496, 282, 1412, 31742, 518, 540, 28001, 1143, 30670, 609, 519, 2495, 540, 834, 307, 7776, 626, 257, 607, 834, 26792, 4759, 610, 1825, 591, 540, 28001, 1143, 2580, 568, 513, 2413, 8798, 602, 4422, 1394, 547, 519, 4367, 540, 519, 5375, 7121, 540, 834, 6716, 2213, 4984, 257, 538, 3624, 538, 519, 476, 736, 628, 2540, 267, 855, 621, 814, 1100, 4644, 585, 1034, 540, 4457, 2486, 538, 799, 28001, 1143, 5170, 547, 581, 606, 834, 4650, 257, 540, 519, 3677, 1560, 540, 4457, 4984, 269, 28001, 1143, 814, 1185, 513, 7096, 3310, 593, 4457, 2528, 538, 519, 1576, 540, 519, 5553, 543, 28001, 1235, 630, 421, 479, 497, 417, 352, 360, 282, 546, 14504, 25493, 267, 834, 5733, 1562, 540, 519, 28001, 19823, 513, 2140, 12926, 11911, 1152, 547, 519, 23464, 543, 711, 547, 741, 2482, 13794, 267, 2356, 1491, 1416, 547, 4063, 519, 11984, 1063, 741, 9161, 2245, 543, 519, 2853, 540, 4457, 12563, 4984, 543, 1875, 6874, 7776, 626, 31546, 659, 592, 3010, 2237, 606, 2502, 543, 3015, 1576, 1770, 538, 513, 1837, 585, 1647, 1153, 1053, 1644, 547, 519, 1349, 1657, 267, 2519, 593, 834, 763, 12866, 15689, 1262, 630, 310, 340, 2473, 532, 17983, 607, 851, 540, 834, 32628, 1315, 28001, 1143, 2668, 634, 1543, 1058, 581, 3358, 585, 1647, 1153, 1053, 1510, 1991, 1702, 540, 519, 1888, 780, 2521, 547, 1384, 268, 3629, 2143, 3137, 267, 2057, 2930, 3822, 267, 543, 1459, 519, 2093, 538, 513, 3551, 267, 2239, 3159, 563, 268, 3417, 1806, 547, 1118, 519, 1641, 3839, 543, 3078, 585, 1762, 1647, 1153, 1053, 563, 268, 3680, 4304, 519, 1357, 1349, 538, 519, 1837, 269, 1684, 711, 1331, 513, 2140, 610, 2606, 2453, 269, 3399, 1603, 519, 1543, 2047, 269, 0, 8702, 547, 938, 10344, 1362, 256, 769, 713, 1770, 267, 649, 786, 2263, 519, 4241, 1158, 540, 3059, 3239, 11049, 1210, 513, 4480, 1572, 834, 32098, 5025, 2264, 4825, 537, 4221, 1701, 1411, 1810, 1405, 991, 1022, 1991, 1995, 609, 8666, 11049, 282, 649, 3513, 1376, 689, 15072, 543, 960, 938, 1259, 909, 1927, 780, 5331, 2921, 513, 4605, 540, 707, 2828, 1282, 12424, 267, 855, 972, 781, 513, 16297, 532, 1843, 538, 519, 4282, 12544, 17885, 10822, 610, 6148, 513, 30065, 2915, 29595, 1472, 269, 2060, 12474, 5025, 2264, 4825, 537, 4221, 267, 649, 666, 4012, 1227, 4894, 1346, 13311, 3615, 543, 5372, 873, 609, 12805, 2609, 689, 824, 2694, 540, 519, 8666, 269, 634, 1267, 286, 589, 3501, 25135, 14653, 602, 5654, 607, 1498, 621, 729, 3144, 676, 513, 605, 2439, 2080, 781, 1018, 596, 3513, 1451, 538, 713, 1770, 1384, 1262, 4089, 476, 272, 281, 4197, 7913, 16103, 1299, 17421, 3798, 1746, 12533, 2171, 3513, 2253, 676, 7234, 519, 9238, 540, 3059, 2592, 543, 1946, 789, 3006, 2154, 5905, 13522, 269, 3973, 267, 649, 3513, 6338, 1898, 2474, 899, 19641, 267, 6571, 267, 543, 2681, 12632, 269, 5213, 1405, 5855, 827, 3478, 16397, 282, 1589, 540, 891, 2035, 607, 2679, 7161, 585, 707, 2104, 1196, 1080, 780, 1262, 4089, 476, 273, 281, 24531, 12474, 5025, 2264, 13088, 12533, 9202, 267, 649, 4685, 883, 519, 1187, 851, 1107, 3695, 519, 3532, 12474, 5025, 2264, 2645, 3710, 1318, 883, 2442, 3301, 899, 23489, 26598, 269, 4635, 2241, 1900, 8386, 9912, 5528, 267, 649, 3513, 3391, 596, 998, 1585, 7653, 971, 607, 9427, 13311, 3688, 610, 11423, 8900, 5624, 1247, 4509, 2067, 2164, 780, 1262, 12244, 5093, 1280, 2259, 267, 2119, 13830, 930, 6337, 693, 1753, 610, 3544, 543, 3142, 873, 547, 1362, 269, 8625, 267, 1577, 781, 1294, 875, 1082, 19240, 649, 666, 9004, 1210, 12474, 5025, 2264, 2553, 2439, 1262, 4089, 476, 274, 281, 16792, 3203, 2065, 4469, 1515, 12533, 5629, 596, 1745, 6899, 2324, 609, 12474, 5025, 2264, 2645, 267, 649, 3513, 1397, 596, 875, 547, 1039, 3860, 1166, 4202, 547, 707, 5961, 269, 5994, 7432, 606, 8723, 23863, 883, 513, 18198, 6429, 4904, 609, 7524, 4778, 610, 1818, 513, 20585, 6607, 1413, 10565, 609, 1175, 513, 1906, 30390, 269, 19196, 1243, 2943, 2496, 1262, 19061, 5093, 7994, 835, 540, 707, 12995, 6337, 543, 4019, 1114, 7499, 6163, 547, 1711, 2789, 8747, 269, 10558, 707, 13144, 547, 519, 1362, 543, 2491, 799, 4528, 22587, 547, 596, 1034, 543, 1946, 780, 3528, 13215, 12474, 5025, 2264, 4825, 537, 4221, 267, 596, 3513, 12260, 11995, 7399, 950, 7393, 707, 11147, 269, 3502, 1152, 786, 713, 5578, 2087, 707, 1378, 25135, 32718, 267, 855, 621, 1522, 1256, 8300, 1866, 547, 4584, 909, 513, 8254, 1932, 256, 8414, 11049, 267, 543, 3314, 267, 1169, 4274, 729, 2899, 513, 19444, 1175, 899, 596, 269, 0, 2080, 568, 606, 1349, 689, 513, 2546, 281, 834, 1428, 7454, 26598, 3883, 585, 7353, 20802, 547, 6258, 538, 476, 1708, 274, 454, 6624, 993, 622, 2720, 543, 3318, 21706, 267, 11432, 1359, 1141, 547, 12398, 519, 1655, 2835, 585, 1565, 23489, 26598, 269, 1284, 4076, 12290, 513, 9522, 540, 9058, 23489, 26598, 2835, 269, 4653, 267, 649, 723, 7396, 519, 1283, 476, 1428, 2835, 602, 649, 2219, 616, 519, 1655, 2835, 547, 1451, 26598, 2609, 269, 1924, 952, 596, 2461, 1007, 547, 26598, 267, 610, 3274, 6999, 547, 1491, 707, 9345, 547, 1776, 1377, 267, 891, 2835, 666, 948, 596, 7494, 547, 11886, 707, 5326, 269, 1452, 2835, 1683, 596, 609, 3102, 1259, 547, 1451, 740, 12786, 6337, 7749, 563, 272, 269, 18104, 30488, 6651, 1677, 29923, 26598, 1656, 12861, 2622, 4147, 16071, 454, 21900, 657, 7749, 281, 18104, 30488, 6651, 1677, 29923, 26598, 1656, 12861, 2622, 4147, 16071, 2982, 596, 519, 25229, 9323, 540, 25291, 772, 1186, 267, 28389, 906, 267, 543, 7822, 4856, 516, 2388, 547, 1118, 707, 11147, 11613, 5863, 563, 2791, 3580, 4137, 856, 875, 547, 8415, 5373, 2645, 267, 585, 1383, 267, 519, 5862, 19943, 267, 15513, 267, 3337, 543, 1899, 15457, 520, 4926, 269, 901, 1433, 849, 2337, 596, 547, 8415, 6231, 8620, 606, 2502, 543, 3015, 1576, 1770, 538, 513, 1837, 585, 1647, 1153, 1053, 1644, 547, 519, 1349, 1657, 267, 2519, 593, 11682, 5588, 24209, 1315, 9828, 1315, 7913, 1315, 12474, 5025, 2264, 4825, 537, 4221, 269, 898, 1058, 581, 3358, 585, 1647, 1153, 1053, 1510, 1991, 1702, 593, 519, 1888, 780, 2521, 547, 1384, 268, 3629, 2143, 3137, 267, 2057, 2930, 3822, 267, 543, 1459, 519, 2093, 538, 513, 3551, 267, 2239, 3159, 563, 268, 3417, 1806, 547, 1118, 519, 1641, 3839, 543, 3078, 585, 1762, 1647, 1153, 1053, 269, 3097, 268, 1684, 711, 2446, 519, 1357, 1349, 538, 519, 1837, 543, 798, 711, 1331, 513, 2140, 610, 2606, 2453, 267, 596, 1058, 2328, 519, 1543, 2047, 269, 0, 6637, 7170, 281, 8111, 12829, 8293, 573, 256, 4197, 4239, 641, 4926, 262, 9214, 323, 1043, 11106, 692, 5970, 596, 2479, 4862, 540, 606, 12354, 22455, 1354, 286, 1403, 865, 267, 596, 1522, 917, 602, 891, 4241, 2831, 2661, 538, 519, 5836, 543, 666, 1689, 4778, 269, 1809, 1705, 596, 917, 602, 12354, 641, 4926, 616, 2965, 2808, 2731, 5100, 1851, 4262, 7068, 286, 2913, 781, 4685, 4514, 883, 1018, 2306, 12354, 641, 4926, 865, 2027, 950, 621, 2501, 547, 741, 12058, 543, 2623, 2439, 5575, 1919, 1101, 910, 1577, 781, 2911, 827, 1141, 12354, 641, 4926, 3514, 538, 519, 3662, 10806, 269, 1411, 949, 1589, 602, 12354, 641, 4926, 616, 899, 2462, 267, 5216, 6122, 13949, 3165, 267, 855, 789, 5749, 1405, 3833, 256, 5502, 540, 2348, 7633, 610, 10253, 899, 3165, 267, 12354, 641, 4926, 723, 2571, 4703, 609, 1100, 7729, 30416, 693, 782, 269, 901, 2636, 873, 547, 25837, 998, 6263, 18015, 543, 1212, 341, 1182, 538, 7725, 547, 12404, 689, 11975, 630, 528, 14229, 752, 909, 593, 5667, 639, 1051, 532, 10352, 1040, 1358, 4866, 547, 513, 1895, 1572, 524, 31525, 641, 16104, 267, 2059, 609, 824, 10995, 4262, 17743, 619, 971, 607, 2695, 1749, 543, 2759, 1479, 8127, 780, 3086, 602, 649, 1174, 811, 827, 1018, 606, 12354, 22455, 5654, 899, 267, 1577, 781, 2263, 922, 6909, 2634, 12741, 269, 1323, 12354, 22455, 814, 1614, 12271, 267, 4544, 1973, 267, 543, 835, 1292, 2634, 1107, 7168, 3579, 267, 1318, 286, 1717, 267, 972, 781, 1256, 811, 2469, 593, 3330, 922, 2212, 982, 1175, 602, 256, 3962, 6186, 3568, 9910, 1532, 23230, 1572, 14228, 20377, 267, 3850, 1142, 18215, 547, 957, 10446, 543, 4194, 2042, 676, 3294, 256, 5994, 952, 707, 7916, 1223, 1589, 585, 2933, 2439, 3383, 1946, 1281, 1373, 2111, 547, 1847, 543, 1966, 1606, 9876, 14350, 2339, 865, 1454, 585, 606, 12354, 22455, 286, 4270, 267, 2015, 713, 1383, 281, 4952, 596, 2811, 606, 12354, 22455, 3843, 547, 1930, 513, 20220, 2407, 540, 26345, 16152, 269, 2060, 707, 2178, 29186, 619, 543, 8465, 1560, 267, 596, 8936, 835, 6186, 547, 3180, 5196, 1945, 19756, 1247, 1776, 6186, 1568, 24091, 547, 6335, 1055, 519, 19984, 269, 11531, 267, 930, 540, 707, 824, 7916, 1832, 4585, 585, 1761, 6937, 7404, 269, 2353, 713, 1617, 527, 27965, 20502, 1175, 875, 15931, 543, 26227, 606, 12354, 22455, 5963, 568, 2439, 3719, 7227, 267, 972, 781, 811, 256, 3502, 1152, 798, 12354, 641, 4926, 4159, 11141, 2168, 905, 1846, 1813, 547, 741, 4987, 267, 855, 789, 849, 8858, 1950, 5615, 1419, 2404, 609, 2362, 3206, 1983, 269, 1280, 3236, 267, 3173, 723, 4767, 12354, 641, 4926, 1210, 2645, 899, 17310, 7387, 30556, 607, 24181, 610, 15720, 9634, 269, 13185, 827, 4199, 6888, 2439, 12914, 641, 4926, 666, 1256, 5431, 1367, 3425, 945, 1416, 585, 873, 538, 6864, 926, 4548, 269, 2368, 30157, 2671, 2984, 540, 4620, 12354, 641, 4926, 9301, 741, 5172, 1480, 2828, 1310, 3275, 6306, 543, 28551, 873, 27145, 2390, 2132, 269, 1924, 1985, 942, 596, 3643, 606, 16983, 267, 1491, 513, 4090, 547, 5660, 519, 5863, 5042, 5759, 540, 891, 8049, 1814, 1562, 2439, 1103, 3932, 267, 12354, 641, 4926, 2760, 24044, 547, 993, 10270, 721, 609, 741, 4230, 15929, 6457, 543, 1966, 9010, 7207, 269, 3245, 3001, 8238, 558, 3585, 547, 9001, 2200, 21176, 267, 891, 13755, 6804, 3083, 625, 6961, 602, 3006, 3168, 1114, 5012, 547, 5499, 3435, 269, 5808, 6487, 1018, 1007, 8906, 24098, 721, 607, 649, 3136, 1565, 827, 891, 2706, 5100, 2695, 1749, 540, 519, 2620, 286, 0, 2080, 568, 606, 1349, 689, 513, 2546, 281, 834, 2710, 4239, 22455, 5620, 717, 1571, 281, 4239, 641, 4926, 616, 30811, 543, 28430, 7068, 602, 9468, 519, 17909, 540, 938, 12084, 267, 9159, 519, 9345, 540, 7286, 12439, 543, 3744, 7567, 269, 2290, 540, 519, 10578, 3344, 540, 12354, 22455, 7350, 568, 741, 1505, 540, 19344, 563, 2414, 2626, 713, 2243, 267 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

[ 1677, 6820, 654, 9879, 267, 1715, 3194, 21909, 338, 454, 16829, 281, 4989, 476, 3066, 267, 476, 1001, 273, 0, 2177, 14877, 2098, 2207, 302, 27334, 289, 2177, 10396, 14877, 2098, 2207, 302, 27334, 289, 2177, 10396, 14877, 2098, 2207, 302, 27334, 289, 2177, 10396, 700, 312, 2098, 2207, 302, 27334, 289, 2177, 10396, 14877, 2098, 2207, 302, 27334, 289, 2177, 10396, 14877, 2098, 2207, 302, 454, 20041, 519, 5790, 563, 272, 269, 17547, 8380, 3327, 454, 25321, 309, 8991, 12778, 540, 1648, 454, 26903, 4750, 5239, 476, 1220, 280, 8693, 9197, 4875, 590, 31902, 898, 5455, 269, 8940, 8542, 1155, 2593, 30406, 270, 1220, 280, 270, 271, 3445, 275, 3066, 270, 21459, 270, 3393, 279, 11820, 275, 320, 11258, 25519, 1081, 568, 11562, 5896, 538, 2921, 10371, 2418, 607, 9072, 585, 3375, 6194, 269, 4263, 4380, 8879, 2910, 273, 9830, 616, 4867, 693, 476, 29496, 533, 4877, 6230, 1421, 663, 1256, 952, 649, 1223, 2322, 606, 1439, 547, 938, 5434, 1631, 267, 513, 521, 14184, 6824, 540, 2910, 273, 1131, 2611, 538, 519, 5790, 585, 27453, 630, 301, 520, 269, 3115, 269, 29725, 269, 7827, 476, 273, 267, 476, 14444, 1700, 15647, 282, 476, 1220, 279, 1040, 28791, 649, 1265, 513, 1259, 540, 647, 9535, 2910, 273, 856, 540, 519, 5790, 630, 16631, 476, 23283, 267, 476, 13679, 275, 1700, 13679, 276, 282, 476, 1220, 280, 1070, 13059, 547, 476, 12573, 533, 4877, 6230, 269, 1369, 513, 942, 1922, 9347, 602, 568, 4143, 547, 3375, 24237, 786, 581, 1134, 562, 662, 7543, 11053, 1173, 1115, 666, 782, 1932, 3362, 581, 1031, 547, 17854, 4797, 2825, 12159, 593, 519, 4493, 602, 621, 568, 1369, 606, 11807, 2039, 630, 26903, 476, 5379, 272, 267, 476, 4510, 278, 1700, 275, 4366, 282, 476, 1220, 280, 1040, 2334, 781, 2523, 3020, 540, 1279, 3856, 3853, 267, 4171, 8458, 540, 1373, 1558, 666, 1405, 581, 6027, 676, 1459, 6377, 7180, 563, 22897, 269, 2910, 273, 2011, 10868, 563, 2414, 723, 1022, 4960, 540, 16069, 2518, 8337, 689, 2810, 267, 6082, 1590, 1544, 547, 3247, 519, 5434, 540, 782, 1279, 9434, 630, 514, 519, 5790, 264, 8511, 9362, 269, 901, 568, 711, 7543, 267, 621, 1281, 711, 1611, 519, 1439, 540, 10340, 630, 29514, 2916, 1689, 1281, 1040, 2334, 781, 1317, 621, 568, 1175, 513, 2339, 540, 15175, 4066, 543, 6464, 547, 4642, 3327, 543, 1875, 6757, 8925, 602, 2291, 2907, 563, 2171, 616, 5143, 602, 547, 2569, 5434, 1131, 581, 1360, 14427, 269, 901, 568, 519, 7887, 2916, 1689, 9114, 856, 972, 543, 1034, 1004, 723, 15468, 585, 621, 563, 2005, 1131, 711, 1942, 4376, 269, 634, 5168, 568, 3384, 1022, 1007, 2029, 568, 513, 5458, 2804, 5818, 563, 763, 2518, 4642, 3327, 1646, 543, 556, 23923, 618, 1131, 581, 519, 6574, 2804, 543, 7694, 5818, 2479, 563, 2467, 568, 538, 1840, 513, 5458, 7525, 1942, 9494, 689, 16069, 519, 6757, 2011, 543, 1216, 5533, 540, 8093, 10173, 269, 634, 1942, 547, 938, 1072, 543, 689, 1072, 2126, 568, 11999, 563, 313, 3266, 12539, 3163, 547, 20023, 12539, 15863, 454, 273, 269, 3399, 2921, 3327, 454, 719, 540, 519, 5790, 563, 2414, 5512, 1022, 5786, 540, 2221, 781, 21472, 5834, 540, 11626, 3327, 8166, 543, 519, 1279, 3856, 32278, 540, 11626, 3327, 8166, 267, 519, 2257, 540, 4642, 3327, 5434, 7569, 513, 2698, 10682, 540, 782, 8093, 4492, 1648, 676, 2973, 4642, 3327, 543, 2479, 331, 8463, 1648, 269, 769, 513, 2262, 7503, 540, 519, 1158, 781, 1648, 3761, 563, 763, 3239, 689, 513, 7791, 1648, 1867, 676, 519, 2229, 540, 5125, 930, 1296, 3516, 2982, 602, 1169, 2707, 540, 7791, 1648, 666, 1683, 811, 982, 519, 1158, 781, 991, 540, 1648, 269, 634, 1867, 7229, 7791, 1648, 1761, 729, 476, 4968, 271, 2053, 982, 519, 1648, 10057, 676, 519, 1158, 563, 2690, 519, 2250, 476, 1789, 1296, 1875, 3766, 21194, 14540, 543, 21237, 6608, 723, 15469, 519, 5726, 540, 1648, 267, 799, 15069, 1590, 4755, 269, 10251, 1282, 519, 13319, 540, 2479, 3467, 519, 3677, 8093, 4492, 1648, 10438, 4066, 267, 1648, 7503, 5726, 814, 1500, 2370, 3356, 267, 1256, 1498, 782, 519, 2409, 547, 798, 865, 723, 1044, 2139, 585, 513, 942, 563, 763, 17888, 1935, 547, 2569, 3327, 5434, 568, 519, 5786, 538, 3327, 8515, 267, 799, 568, 606, 1648, 5726, 13461, 593, 1648, 4398, 1935, 269, 1809, 621, 568, 7543, 547, 3035, 4642, 3327, 1100, 2339, 875, 3811, 649, 616, 538, 5355, 8093, 4492, 1648, 4398, 269, 1548, 538, 4890, 1249, 814, 1044, 8345, 607, 513, 1267, 540, 2810, 568, 602, 2518, 5434, 723, 2799, 1390, 3327, 8515, 269, 713, 568, 1317, 5355, 3327, 8515, 814, 1100, 1198, 593, 14051, 8093, 4492, 1648, 543, 4066, 602, 946, 8093, 4492, 1648, 563, 3383, 649, 723, 547, 723, 1312, 5726, 540, 1648, 543, 7503, 540, 1648, 563, 20288, 23667, 910, 898, 568, 3622, 5156, 602, 649, 666, 1491, 3327, 8166, 856, 540, 519, 5790, 676, 9544, 811, 7733, 269, 10251, 585, 519, 6604, 540, 2518, 2916, 31685, 267, 713, 568, 513, 10151, 3070, 269, 634, 3327, 4783, 11414, 721, 602, 519, 18714, 3327, 4783, 3322, 15591, 540, 3039, 2371, 2921, 3327, 8166, 856, 540, 519, 5790, 269, 674, 30480, 621, 607, 3327, 585, 1648, 946, 543, 2030, 2208, 630, 663, 538, 519, 1184, 16089, 5135, 547, 519, 2011, 1040, 1809, 713, 568, 1175, 835, 3368, 540, 519, 3327, 4783, 910, 519, 824, 3368, 4386, 950, 2371, 9178, 543, 5884, 543, 1287, 519, 3327, 568, 8120, 547, 519, 5790, 607, 3327, 8166, 269, 3683, 519, 1279, 2165, 519, 3327, 568, 1175, 13381, 269, 5983, 7370, 798, 711, 16173, 3327, 7989, 600, 1836, 4849, 676, 4742, 8093, 3327, 630, 30669, 1916, 1103, 519, 6516, 1657, 2451, 972, 616, 1079, 1648, 2959, 3769, 602, 2269, 9536, 548, 519, 4642, 3327, 1648, 543, 3327, 32749, 1648, 7941, 563, 301, 13086, 1648, 568, 835, 269, 17437, 1379, 5108, 1281, 711, 12520, 3327, 8166, 607, 513, 12343, 540, 1648, 5108, 269, 3327, 8166, 2460, 540, 6046, 1379, 568, 538, 519, 4070, 693, 519, 1379, 2030, 269, 4014, 519, 11685, 547, 6046, 1648, 538, 2489, 814, 17808, 741, 4070, 267, 596, 2087, 5481, 540, 6046, 1648, 2523, 1507, 8397, 6046, 1648, 18402, 12520, 1360, 1454, 1447, 3327, 8166, 538, 519, 4070, 543, 789, 616, 849, 10930, 269, 15069, 519, 2856, 1232, 2174, 2153, 532, 4540, 6046, 1648, 2371, 8259, 606, 1367, 2030, 568, 1336, 547, 581, 1412, 296, 6415, 2922, 547, 7500, 262, 2306, 1100, 2631, 585, 19086, 2518, 2916, 1689, 269, 634, 1279, 8573, 7342, 6046, 1648, 1544, 13978, 538, 5106, 519, 1447, 568, 519, 3327, 11640, 540, 519, 1379, 2371, 10715, 269, 1403, 519, 6046, 1648, 1544, 568, 3144, 856, 540, 10243, 593, 519, 4493, 540, 1857, 10182, 543, 602, 1804, 2179, 540, 1648, 568, 8719, 676, 5755, 30187, 1648, 513, 1804, 2179, 540, 4642, 3327, 1648, 814, 1044, 8719, 676, 519, 5207, 3327, 32749, 2707, 540, 1648, 269, 634, 2063, 2262, 568, 602, 972, 568, 1100, 1981, 540, 6046, 1648, 5108, 21006, 10340, 10678, 8103, 543, 10678, 1034, 1272, 593, 3047, 269, 8033, 5224, 609, 5755, 30187, 5108, 786, 1034, 6157, 798, 602, 563, 18693, 558, 817, 1648, 568, 519, 824, 1648, 2707, 538, 519, 6516, 2269, 9536, 1782, 4642, 3327, 267, 4642, 32749, 563, 23530, 7353, 19661, 545, 666, 454, 1889, 564, 476, 1911, 260, 1158, 1648, 454, 12047, 663, 609, 1447, 982, 476, 272, 14999, 16447, 781, 2244, 269, 13431, 293, 3967, 476, 1001, 274, 454, 300, 3951, 814, 5462, 24232, 1648, 1761, 568, 2362, 676, 9753, 540, 9588, 982, 1158, 946, 563, 1001, 273, 1382, 9060, 972, 568, 2614, 2842, 1648, 1761, 547, 1379, 519, 1158, 1896, 2053, 936, 563, 20751, 476, 3393, 7643, 267, 519, 3047, 11392, 2614, 3859, 1648, 547, 4628, 2743, 519, 1158, 779, 3003, 1648, 2115, 585, 602, 1554, 563, 13328, 7791, 1648, 6820, 6052, 8416, 0, 299, 525, 15487, 1143, 729, 1634, 607, 835, 540, 4638, 24017, 538, 519, 6259, 2146, 538, 840, 268, 26576, 545, 5736, 10371, 898, 568, 2693, 602, 930, 540, 24139, 1143, 593, 519, 15518, 566, 540, 6259, 10462, 630, 3725, 539, 18301, 2494, 987, 4275, 538, 12925, 693, 513, 3845, 540, 2947, 12919, 5045, 540, 27173, 17304, 543, 519, 1004, 540, 519, 10271, 264, 7902, 519, 1101, 3364, 602, 7153, 689, 519, 10539, 538, 2474, 540, 17195, 538, 519, 5493, 2167, 540, 2494, 987, 4275, 269, 21965, 6068, 13130, 519, 8250, 540, 715, 340, 685, 2006, 8633, 267, 3751, 540, 10539, 630, 276, 3199, 268, 2568, 273, 544, 269, 2991, 519, 2669, 540, 1200, 9393, 2311, 571, 696, 543, 513, 8004, 27694, 267, 1634, 538, 922, 2012, 1070, 513, 2098, 541, 32142, 1325, 312, 600, 600, 1695, 630, 572, 518, 585, 1310, 513, 4807, 689, 570, 11047, 267, 808, 611, 529, 729, 5143, 621, 729, 519, 5813, 3364, 540, 519, 15292, 540, 1614, 2395, 543, 29041, 676, 1383, 267, 968, 296, 1294, 519, 4544, 798, 557, 968, 264, 543, 19300, 752, 15925, 269, 670, 1168, 8636, 729, 519, 1101, 4807, 538, 519, 6259, 4807, 269, 3973, 621, 3262, 24139, 1143, 1851, 2021, 563, 1103, 519, 5736, 540, 519, 2836, 13023, 622, 543, 519, 1325, 636, 599, 344, 611, 1974, 543, 609, 519, 7287, 547, 723, 26697, 24139, 1143, 2442, 1242, 538, 519, 2749, 269, 898, 568, 1767, 602, 3377, 540, 621, 6603, 1250, 20122, 773, 1325, 24703, 2088, 630, 320, 4807, 561, 755, 995, 1166, 1563, 609, 6107, 5030, 538, 519, 942, 950, 3057, 9774, 16481, 333, 620, 6953, 752, 600, 729, 620, 323, 9007, 540, 519, 2749, 10371, 6026, 2021, 634, 1148, 540, 6612, 328, 789, 1572, 1200, 18832, 543, 606, 324, 1352, 1185, 1082, 22888, 1256, 538, 519, 2063, 1032, 6040, 10371, 543, 29041, 676, 606, 1383, 538, 6107, 729, 5143, 968, 7224, 6107, 568, 899, 20122, 773, 9232, 264, 14406, 547, 519, 2021, 540, 519, 2749, 543, 1767, 547, 873, 281, 968, 296, 4862, 4547, 1945, 1007, 1694, 1572, 15776, 15487, 1143, 1744, 752, 609, 621, 596, 5372, 812, 1848, 789, 5143, 1200, 281, 968, 1607, 568, 711, 519, 2495, 267, 855, 621, 568, 1732, 982, 513, 18052, 538, 799, 519, 29317, 1848, 2701, 1767, 281, 9232, 798, 711, 18174, 539, 676, 324, 519, 632, 21082, 585, 2367, 3034, 1103, 519, 2806, 21353, 573, 5736, 267, 799, 930, 3173, 1289, 519, 4638, 1686, 540, 519, 29240, 267, 968, 1492, 5736, 540, 3023, 2223, 543, 607, 972, 941, 7125, 689, 4638, 26697, 610, 547, 32270, 267, 814, 7153, 513, 1007, 1895, 540, 2021, 10912, 585, 519, 15776, 15487, 1143, 1744, 752, 269, 1809, 519, 6370, 1063, 3023, 543, 24139, 1143, 269, 2368, 2021, 1376, 2348, 26697, 543, 4043, 547, 24139, 1143, 267, 543, 1866, 1376, 609, 24139, 1143, 547, 26697, 267, 543, 581, 538, 24139, 1143, 568, 2356, 538, 4638, 26697, 281, 6068, 267, 24158, 267, 543, 960, 593, 1142, 543, 3083, 2305, 14031, 865, 607, 547, 581, 11807, 269, 1306, 789, 2322, 519, 26697, 543, 7091, 3912, 2010, 2081, 267, 1306, 1134, 607, 2322, 28972, 547, 1744, 752, 538, 875, 547, 581, 15776, 321, 2103, 1547, 901, 729, 519, 8551, 267, 4553, 5702, 538, 519, 3638, 18211, 7100, 267, 2864, 982, 538, 519, 2539, 5049, 269, 769, 519, 2539, 5049, 1919, 941, 711, 27507, 540, 5175, 3258, 640, 693, 2053, 563, 1103, 519, 1433, 540, 630, 6826, 327, 3023, 264, 689, 513, 5256, 24139, 1143, 269, 769, 519, 1433, 513, 17552, 5371, 630, 288, 14265, 1047, 609, 6068, 3283, 264, 585, 590, 2742, 565, 10822, 962, 320, 27256, 10822, 2806, 21353, 21185, 4754, 945, 723, 5747, 538, 476, 6872, 277, 589, 295, 1107, 272, 476, 5197, 5084, 267, 2854, 676, 519, 13584, 540, 519, 32595, 1627, 559, 326, 707, 26512, 25234, 337, 16481, 333, 918, 4673, 1488, 16435, 534, 267, 519, 5067, 540, 6424, 5484, 4787, 2006, 10822, 6650, 1721, 622, 267, 543, 1118, 621, 538, 1079, 2694, 267, 13991, 3848, 17886, 547, 2446, 519, 2601, 538, 519, 9258, 2368, 1004, 7195, 321, 1695, 827, 519, 2067, 1576, 267, 543, 930, 17079, 13283, 8797, 7911, 593, 519, 1699, 543, 519, 13283, 540, 930, 715, 529, 9774, 11493, 269, 1306, 1134, 607, 538, 519, 1433, 968, 320, 3802, 737, 1716, 1564, 609, 4986, 538, 519, 1433, 892, 30277, 10822, 1411, 572, 325, 16816, 822, 2444, 515, 21185, 4754, 546, 269, 476, 4792, 272, 661, 1107, 476, 10219, 274, 269, 634, 10564, 267, 543, 2278, 540, 968, 1345, 24886, 2108 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

[ 320, 27430, 6889, 10059, 2517, 4178, 6983, 25699, 2593, 270, 1708, 271, 270, 6349, 270, 2918, 270, 27700, 270, 13582, 5264, 3766, 553, 15041, 3827, 3146, 18571, 27651, 11258, 257, 3077, 6889, 318, 29734, 22969, 338, 904, 9572, 320, 285, 519, 1657, 834, 6312, 1181, 6585, 3020, 538, 2477, 1141, 1004, 6140, 5397, 269, 898, 2731, 5673, 593, 519, 2197, 543, 7082, 2623, 972, 1701, 9572, 335, 12481, 335, 285, 763, 3173, 2328, 602, 713, 1032, 7146, 8584, 28451, 1279, 1353, 24864, 1394, 593, 3105, 1382, 602, 6811, 2228, 10918, 547, 581, 1732, 538, 2474, 540, 23435, 294, 29066, 27135, 335, 12481, 335, 2511, 6889, 332, 1173, 514, 268, 3847, 281, 476, 736, 29210, 282, 22969, 257, 5445, 723, 267, 2705, 267, 3379, 519, 23435, 294, 5434, 829, 10918, 2680, 543, 1705, 711, 2015, 519, 3095, 1063, 519, 10685, 9055, 543, 519, 11127, 2450, 267, 799, 5012, 547, 513, 1114, 3932, 982, 602, 540, 519, 1699, 1353, 1701, 9572, 335, 12481, 335, 285, 15697, 10685, 568, 1141, 13418, 959, 7927, 1604, 281, 1004, 4043, 547, 1931, 835, 6221, 693, 513, 942, 950, 10918, 593, 6986, 6345, 4609, 267, 6466, 789, 6006, 909, 593, 2789, 3688, 950, 9683, 513, 4558, 269, 3117, 28366, 786, 3006, 1931, 513, 1297, 540, 5094, 3688, 936, 519, 1576, 540, 513, 3018, 2864, 982, 1818, 835, 7552, 547, 6718, 3388, 789, 991, 269, 21742, 335, 12481, 335, 285, 4407, 3039, 532, 3646, 676, 2228, 21625, 616, 1271, 267, 2394, 513, 6521, 538, 7082, 10182, 2242, 267, 519, 1699, 3327, 11640, 786, 581, 513, 2182, 21677, 547, 7753, 269, 8835, 568, 3843, 547, 723, 621, 1312, 2081, 1765, 21666, 6954, 543, 13418, 29279, 11652, 519, 2979, 3884, 1405, 4946, 909, 269, 1403, 596, 991, 547, 1931, 1919, 267, 798, 621, 2228, 267, 855, 2119, 547, 19597, 622, 707, 16306, 607, 1454, 607, 2009, 27135, 335, 12481, 335, 285, 734, 9572, 335, 12481, 335, 12481, 655, 285, 26835, 538, 5905, 609, 667, 699, 330, 593, 2999, 320, 27430, 6889, 10674, 2517, 4178, 6745, 342, 7867, 2593, 7933, 699, 330, 2041, 637, 257, 3077, 6889, 318, 29734, 22969, 23562, 7867, 9572, 320, 285, 267, 2999, 320, 27430, 6889, 10059, 2517, 4178, 269, 2183, 1504, 2593, 22230, 699, 330, 6826, 637, 25346, 1260, 257, 3077, 6889, 318, 29734, 22969, 293, 864, 1504, 9572, 320, 285, 543, 2999, 320, 27430, 6889, 10059, 2517, 323, 699, 330, 2041, 637, 16553, 23637, 2593, 270, 257, 3077, 6889, 318, 29734, 22969, 8138, 23637, 9572, 320, 20101, 3571, 1985, 1433, 568, 9572, 655, 285, 834, 283, 655, 285, 295, 3266, 781, 667, 846, 281, 634, 8865, 1280, 623, 1910, 32676, 923, 538, 681, 3770, 543, 10657, 1701, 9572, 655, 20565, 335, 11417, 32247, 12150, 3207, 538, 1453, 729, 2404, 609, 2618, 5328, 2833, 538, 18273, 267, 2687, 547, 513, 2487, 1353, 856, 540, 519, 2160, 540, 27257, 781, 3427, 540, 10017, 269, 0, 14187, 27450, 623, 275, 297, 9462, 30904, 454, 8702, 547, 519, 12729, 476, 275, 9754, 269, 5620, 513, 1413, 693, 930, 540, 519, 818, 974, 30440, 2630, 912, 19350, 616, 519, 4247, 585, 13628, 563, 6637, 476, 1724, 630, 1492, 3803, 3184, 14386, 540, 2048, 305, 30689, 593, 519, 681, 2086, 720, 685, 814, 1044, 23345, 547, 30581, 269, 594, 4126, 596, 10150, 6217, 519, 1433, 269, 5620, 513, 1589, 827, 519, 2055, 2630, 912, 268, 9894, 519, 1433, 723, 606, 2500, 10678, 286, 11512, 707, 2626, 563, 268, 6904, 851, 540, 519, 1433, 1705, 596, 899, 519, 1655, 286, 4208, 888, 268, 1403, 596, 1223, 27682, 519, 10678, 267, 875, 1131, 519, 1650, 1439, 888, 268, 5808, 1131, 596, 4363, 713, 1433, 547, 888, 299, 15660, 1284, 616, 1565, 547, 3533, 543, 8308, 11291, 8691, 5013, 563, 291, 2905, 27450, 7420, 281, 3432, 339, 1963, 268, 273, 630, 272, 994, 300, 843, 281, 2347, 835, 3432, 3349, 563, 8967, 5390, 281, 2347, 1079, 3432, 7515, 563, 31640, 281, 2347, 1079, 3432, 3349, 267, 942, 1142, 835, 543, 2119, 547, 10726, 707, 1101, 942, 563, 299, 15660, 1107, 1284, 616, 1565, 547, 1265, 519, 1942, 540, 2789, 3688, 543, 960, 856, 519, 1689, 563, 291, 2905, 13174, 17130, 281, 7994, 513, 28306, 328, 4161, 689, 519, 1592, 2630, 912, 300, 843, 281, 623, 15014, 476, 18231, 454, 8967, 5390, 281, 623, 15014, 476, 30116, 454, 31640, 281, 623, 15014, 476, 28434, 454, 299, 15660, 281, 1284, 616, 1565, 547, 1174, 875, 543, 950, 547, 946, 19980, 1886, 1127, 547, 1397, 15896, 563, 291, 2905, 17402, 17130, 281, 7427, 519, 3095, 543, 2347, 11314, 476, 274, 912, 8855, 547, 1224, 513, 1433, 540, 707, 3903, 585, 12257, 1169, 1554, 585, 476, 1789, 3764, 563, 299, 15660, 281, 1284, 616, 1565, 547, 946, 818, 974, 30440, 547, 1451, 827, 519, 2250, 563, 307, 8084, 17130, 281, 7427, 519, 3095, 2630, 547, 1451, 827, 519, 14564, 538, 6628, 912, 307, 2532, 281, 1284, 723, 2813, 513, 12729, 476, 275, 9754, 540, 818, 974, 30440, 547, 2995, 721, 827, 4936, 1686, 269, 1284, 723, 930, 4190, 19821, 923, 267, 2178, 6186, 712, 543, 2143, 3631, 540, 4936, 3889, 269, 1717, 267, 950, 818, 974, 30440, 616, 7363, 5116, 538, 513, 9754, 267, 8436, 666, 1224, 513, 2110, 1344, 3556, 547, 1265, 856, 811, 827, 621, 269, 2659, 4305, 568, 547, 2328, 513, 9754, 1344, 3556, 547, 581, 3773, 547, 707, 818, 974, 2399, 689, 2063, 3018, 563, 268, 2659, 9754, 3556, 1058, 581, 827, 3368, 513, 2985, 540, 589, 275, 1957, 563, 268, 12729, 476, 275, 1875, 268, 10864, 582, 328, 1963, 630, 18484, 1406, 7340, 707, 25777, 13002, 26695, 268, 15681, 519, 5467, 1141, 519, 818, 974, 2399, 729, 1336, 563, 268, 15681, 519, 5467, 827, 519, 1826, 540, 1268, 945, 11262, 519, 818, 974, 2399, 563, 268, 15681, 519, 5467, 1018, 519, 818, 974, 2399, 1131, 723, 1044, 1031, 585, 563, 299, 15660, 281, 1284, 616, 1565, 547, 1020, 938, 8516, 563, 291, 2905, 623, 9950, 17130, 281, 3442, 513, 3232, 4305, 547, 4161, 3054, 2336, 2252, 596, 666, 1406, 1569, 1022, 540, 519, 6402, 610, 723, 1022, 2055, 267, 5225, 2307, 593, 30581, 9462, 30904, 454, 5970, 513, 17681, 13628, 808, 18804, 808, 580, 16744, 335, 32332, 9462, 30904, 0, 18871, 8707, 23531, 4939, 1475, 21206, 10049, 3131, 18741, 334, 2008, 347, 24109, 7190, 1475, 1724, 1475, 24791, 3852, 495, 1475, 1428, 269, 1822, 594, 308, 2008, 347, 13707, 21193, 4088, 748, 15240, 1734, 1475, 1626, 1475, 24791, 269, 667, 274, 1475, 274, 269, 1822, 594, 308, 2008, 347, 13707, 11041, 267, 9600, 1475, 274, 1475, 24791, 269, 661, 1475, 1839, 8406, 2008, 347, 13707, 17316, 9317, 15240, 1734, 1475, 279, 267, 274, 1475, 293, 518, 5300, 1475, 1839, 8406, 2008, 347, 13707, 12891, 1475, 279, 1475, 300, 22462, 3150, 267, 1475, 2004, 8406, 2008, 763, 3049, 568, 2016, 547, 5144, 2504, 16933, 269, 634, 2179, 540, 3049, 568, 5462, 676, 519, 13184, 3942, 630, 323, 787, 1974, 267, 5144, 2504, 267, 3092, 13776, 519, 1560, 2597, 540, 2831, 543, 519, 1377, 540, 2504, 563, 4263, 519, 4098, 540, 3049, 26587, 2027, 1416, 1058, 581, 3144, 547, 7930, 740, 320, 1632, 547, 519, 3049, 676, 519, 16933, 269, 634, 1459, 3049, 568, 2016, 538, 14966, 609, 21432, 3662, 3049, 610, 2831, 602, 2097, 856, 693, 27892, 269, 634, 3049, 1058, 581, 3323, 476, 1015, 2395, 1354, 649, 22135, 269, 901, 3049, 1281, 711, 2270, 3662, 7912, 543, 11955, 269, 0, 23430, 540, 3047, 3590, 3163, 454, 17471, 1279, 24331, 3114, 12331, 9599, 538, 513, 476, 274, 5937, 7998, 3560, 2203, 281, 31854, 2214, 8879, 715, 454, 268, 8191, 4433, 2567, 670, 24175, 267, 9947, 334, 454, 268, 2398, 1430, 267, 7812, 808, 454, 268, 1696, 620, 563, 13775, 5680, 19715, 10059, 2517, 8742, 3820, 270, 1015, 269, 9083, 280, 270, 1220, 280, 21923, 271, 5655, 25838, 454, 763, 1079, 13074, 24331, 267, 2101, 3114, 3210, 3270, 630, 324, 3394, 332, 3941, 264, 540, 519, 5790, 267, 23993, 715, 273, 302, 543, 8863, 275, 267, 616, 4857, 609, 519, 772, 5746, 7998, 20675, 1636, 2203, 1210, 513, 5276, 1242, 630, 301, 273, 302, 267, 12971, 586, 2073, 744, 274, 267, 8863, 275, 267, 670, 273, 302, 9984, 17882, 585, 14404, 2214, 8879, 7998, 543, 9138, 7708, 1842, 335, 8879, 9271, 269, 1306, 538, 3105, 476, 272, 291, 543, 476, 273, 291, 2090, 267, 891, 2540, 17489, 476, 274, 291, 13502, 1397, 602, 519, 552, 1922, 13783, 9178, 942, 540, 513, 715, 273, 302, 32677, 566, 630, 332, 1712, 268, 272, 281, 476, 10482, 269, 275, 586, 264, 3361, 676, 513, 13942, 12998, 540, 715, 273, 302, 568, 476, 1015, 26188, 10156, 982, 519, 715, 273, 302, 11626, 10715, 630, 14093, 269, 273, 586, 1040, 901, 7154, 268, 272, 666, 849, 581, 9599, 676, 8863, 275, 655, 3827, 1813, 547, 8863, 275, 14114, 274, 14404, 2214, 8879, 7998, 281, 513, 13942, 12998, 540, 476, 1911, 570, 326, 8863, 275, 5932, 513, 1341, 271, 269, 272, 570, 326, 715, 273, 302, 32677, 566, 538, 7154, 268, 272, 609, 513, 476, 10482, 3917, 337, 552, 1922, 13783, 9178, 942, 267, 3976, 2810, 519, 8863, 275, 2518, 8337, 1761, 676, 476, 272, 269, 273, 10065, 20290, 782, 540, 519, 476, 1911, 570, 326, 8863, 275, 5526, 538, 7154, 268, 273, 630, 1015, 269, 272, 586, 1040, 0, 16248, 18873, 540, 9198, 13920, 454, 2750, 3250, 532, 538, 519, 11419, 540, 4758, 454, 3080, 540, 519, 1034, 3532, 1806, 540, 28908, 538, 23075, 568, 1336, 538, 519, 19980, 548, 6754, 779, 2034, 4484, 547, 519, 5939, 538, 519, 2749, 540, 29833, 269, 769, 519, 6679, 18627, 540, 3848, 476, 279, 267, 6754, 1463, 338, 519, 3007, 540, 519, 10271, 538, 29833, 547, 519, 1383, 540, 519, 10271, 538, 24765, 8205, 267, 543, 646, 10416, 3081, 267, 968, 10287, 741, 1383, 3034, 26469, 10741, 3848, 476, 279, 609, 891, 1913, 281, 968, 4517, 1631, 267, 14552, 543, 19946, 267, 649, 1616, 596, 547, 917, 827, 519, 11419, 602, 2696, 814, 2016, 519, 24765, 20897, 13039, 269, 769, 519, 22984, 540, 513, 1360, 4049, 4693, 267, 741, 24492, 532, 7772, 543, 741, 3665, 6710, 1134, 539, 909, 538, 3638, 28908, 892, 630, 273, 29833, 2103, 476, 279, 281, 272, 268, 273, 1916, 2414, 8275, 519, 1379, 540, 6754, 779, 1913, 267, 596, 723, 547, 1174, 519, 6381, 540, 519, 24765, 20897, 21071, 269, 6754, 1767, 789, 941, 7680, 968, 320, 1360, 4049, 4693, 1848, 634, 4693, 789, 11402, 729, 899, 513, 11493, 2604, 3361, 676, 513, 4999, 540, 741, 6710, 543, 20655, 563, 763, 968, 335, 20191, 892, 891, 21071, 4810, 729, 865, 3983, 602, 649, 1522, 1226, 622, 621, 547, 18644, 4224, 5377, 269, 8616, 267, 5103, 741, 6710, 543, 20655, 267, 891, 10271, 941, 4904, 609, 968, 1478, 6503, 532, 7772, 892, 602, 968, 6202, 539, 909, 538, 3638, 28908, 1848, 15439, 2322, 267, 519, 24765, 517, 2103, 685, 24492, 532, 7772, 8507, 538, 24492, 532, 28908, 563, 1692, 568, 602, 1256, 2009, 286, 3689, 267, 621, 729, 2009, 1317, 789, 1185, 7680, 519, 13321, 1379, 540, 2696, 779, 11419, 269, 7638, 572, 476, 272, 6645, 721, 827, 519, 11419, 2696, 1185, 2016, 547, 519, 24765, 20897, 13039, 269, 5822, 267, 789, 11967, 538, 2696, 779, 22556, 269, 1358, 5156, 2696, 267, 3972, 532, 538, 3571, 5132, 6888, 543, 2702, 547, 2743, 741, 1378, 2115, 269, 13298, 982, 12561, 513, 20317, 14820, 267, 789, 17947, 606, 11606, 14820, 602, 1134, 539, 909, 538, 7772, 543, 28908, 563, 2467, 514, 6013, 938, 1101, 3992, 269, 1924, 1419, 649, 2490, 938, 1445, 27808, 950, 649, 3068, 2042, 269, 1809, 519, 24765, 20897, 21071, 5828, 741, 1445, 21286, 4724, 1866, 269, 2696, 6905, 11419, 547, 873, 267, 543, 1287, 789, 6905, 11419, 547, 1866, 998, 741, 24492, 532, 28908, 269, 6754, 4769, 1406, 3247, 972, 269, 1261, 4797, 676, 10503, 1175, 875, 1454, 519, 24765, 517, 2103, 685, 7772, 24492, 539, 538, 28908, 563, 2108, 2690, 594, 1449, 1518, 602, 789, 5795, 607, 1454, 607, 789, 941, 2111, 267, 543, 1256, 3564, 741, 2702, 269, 9980, 790, 569, 593, 741, 1378, 267, 789, 2712, 326, 1836, 5418, 12184, 609, 721, 585, 519, 17979, 540, 4687, 538, 713, 3028, 547, 519, 7083, 779, 1004, 269, 1656, 789, 25295, 938, 6788, 281, 1358, 5795, 2933, 1101, 540, 782, 547, 519, 7083, 267, 543, 1287, 676, 519, 786, 540, 2696, 849, 547, 721 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

[ 942, 950, 1034, 540, 2221, 779, 3621, 1702, 568, 2813, 538, 1382, 2516, 267, 519, 2278, 556, 4621, 11107, 519, 1514, 1915, 540, 2257, 547, 2232, 519, 2243, 540, 2436, 29050, 2813, 1702, 1058, 581, 2808, 607, 7104, 9740, 267, 543, 952, 865, 267, 538, 799, 2631, 269, 26157, 10952, 2079, 609, 12007, 12170, 14374, 267, 713, 1433, 2488, 513, 13354, 2013, 1353, 540, 1395, 334, 268, 543, 15834, 1382, 2516, 267, 5356, 5813, 883, 519, 1554, 3562, 6377, 2259, 540, 3744, 269, 634, 1433, 2882, 2361, 7422, 543, 11042, 609, 3744, 547, 1459, 606, 10686, 1227, 268, 3033, 539, 5133, 593, 1454, 11546, 321, 730, 2055, 7282, 1382, 2516, 685, 6498, 540, 4074, 267, 1894, 540, 19815, 2438, 13829, 543, 3972, 563, 292, 767, 2088, 2725, 345, 531, 2088, 3400, 584, 454, 17359, 7956, 12232, 5487, 929, 15530, 775, 632, 3288, 544, 18863, 7469, 648, 862, 324, 23314, 5042, 1696, 862, 324, 23314, 8231, 1446, 546, 753, 561, 685, 525, 10628, 632, 3288, 2792, 4480, 1696, 2172, 604, 1664, 1609, 11552, 20527, 341, 2064, 1167, 27641, 269, 3474, 682, 536, 807, 529, 632, 844, 601, 13196, 7422, 267, 524, 564, 2376, 694, 15974, 632, 10411, 745, 790, 3288, 24235, 632, 21244, 32511, 340, 7315, 13276, 517, 3288, 638, 16279, 3288, 544, 18863, 7469, 648, 1609, 796, 2379, 10360, 14734, 16725, 26982, 575, 23662, 928, 682, 544, 27475, 964, 818, 974, 30440, 1208, 1622, 1696, 546, 685, 514, 1203, 528, 1512, 536, 686, 11726, 22777, 8350, 535, 517, 2388, 26955, 1084, 1132, 1612, 13767, 548, 268, 857, 546, 753, 682, 544, 27475, 2172, 604, 1664, 1696, 964, 562, 537, 767, 956, 4066, 563, 17359, 7956, 12232, 901, 2376, 12857, 547, 519, 21044, 9165, 543, 519, 4930, 540, 713, 2027, 3390, 543, 621, 6941, 930, 1271, 2165, 514, 1670, 21441, 540, 519, 17685, 8590, 1382, 2361, 269, 634, 2949, 2832, 540, 713, 3390, 568, 547, 2263, 519, 32032, 2081, 547, 4019, 543, 547, 2992, 2390, 12007, 1382, 2409, 538, 519, 2796, 540, 17685, 8590, 2792, 269, 901, 10522, 1312, 513, 4901, 540, 9758, 4162, 540, 17685, 8590, 12007, 1382, 607, 1134, 607, 8942, 547, 2697, 1455, 2934, 543, 3095, 1137, 540, 713, 2027, 1858, 609, 811, 2489, 4612, 894, 1382, 5389, 896, 519, 834, 3518, 20255, 257, 540, 12007, 1514, 1382, 269, 772, 305, 301, 281, 2712, 333, 281, 333, 16818, 281, 1372, 281, 18733, 275, 1922, 336, 338, 271, 3445, 16328, 273, 454, 17359, 7956, 12232, 769, 4873, 476, 1220, 275, 267, 606, 4274, 17130, 10414, 267, 12912, 676, 519, 2817, 3194, 7027, 4516, 543, 669, 8529, 676, 3220, 269, 6424, 16200, 267, 3357, 1927, 538, 31747, 547, 1544, 513, 2817, 17072, 607, 519, 1445, 540, 519, 2817, 13693, 566, 593, 7457, 547, 11660, 3194, 4578, 269, 634, 17072, 267, 799, 729, 4371, 538, 5437, 476, 1220, 275, 267, 4547, 1927, 811, 982, 29235, 8225, 3401, 538, 3621, 1382, 267, 1239, 2359, 267, 1382, 7245, 267, 7214, 3959, 543, 824, 22317, 2127, 269, 901, 2376, 6799, 513, 3102, 2689, 540, 519, 2152, 267, 543, 519, 3255, 543, 519, 2591, 4857, 1282, 519, 17072, 269, 13216, 543, 3638, 14249, 540, 3621, 12240, 616, 4657, 875, 1382, 568, 5342, 267, 3432, 532, 519, 6602, 543, 5137, 540, 1007, 2035, 269, 16842, 1569, 786, 17108, 971, 2242, 1256, 811, 267, 2870, 824, 1007, 3255, 269, 2060, 519, 4999, 540, 12240, 1369, 543, 1851, 10459, 543, 2477, 267, 4909, 682, 2355, 538, 1702, 786, 2049, 602, 786, 2981, 938, 1620, 540, 1272, 267, 519, 1158, 543, 519, 7122, 269, 634, 8225, 1382, 2146, 568, 7255, 676, 519, 991, 547, 1491, 16190, 2962, 547, 3082, 547, 519, 8101, 2242, 2838, 676, 519, 3621, 13055, 269, 5221, 1100, 3084, 1239, 11091, 3919, 6818, 267, 949, 4966, 3494, 602, 513, 3084, 4640, 593, 1239, 1569, 610, 4507, 2115, 547, 581, 2919, 267, 543, 602, 513, 834, 10574, 17130, 10414, 257, 581, 2813, 547, 5965, 513, 2407, 3084, 6388, 4640, 269, 4495, 971, 513, 3084, 4640, 568, 17618, 6462, 267, 621, 568, 6069, 602, 513, 6131, 3084, 5989, 267, 17895, 8271, 1572, 834, 10574, 4516, 2580, 581, 3964, 267, 547, 8263, 2949, 5718, 538, 519, 1646, 543, 11056, 540, 513, 7580, 1544, 563, 3725, 344, 267, 667, 269, 1496, 306, 663, 807, 2817, 6997, 1421, 19186, 340, 20960, 4302, 267, 28679, 630, 18197, 2276, 5148, 24138, 267, 654, 269, 1496, 6124, 6792, 3557, 1133, 643, 1421, 20098, 14265, 806, 267, 28679, 630, 18197, 2276, 5148, 17664, 267, 631, 563, 288, 1505, 585, 811, 7561, 9001, 519, 4908, 19961, 21248, 585, 1239, 6771, 568, 4843, 269, 7351, 2230, 543, 2039, 2792, 1949, 946, 25244, 543, 8193, 14565, 602, 10141, 476, 271, 269, 276, 547, 476, 272, 269, 271, 11353, 829, 2034, 829, 670, 1068, 345, 540, 5925, 4908, 19961, 269, 634, 3804, 538, 713, 700, 11403, 291, 1788, 568, 547, 2333, 519, 19961, 13345, 676, 14139, 4359, 3059, 10618, 2553, 269, 901, 568, 2944, 609, 2370, 610, 1100, 2333, 538, 519, 10141, 1379, 799, 568, 2356, 1360, 3908, 593, 23197, 1949, 269, 1855, 5446, 609, 1715, 6792, 3557, 2160, 267, 606, 6388, 540, 1726, 961, 529, 27573, 25244, 630, 12839, 300, 1070, 513, 8193, 543, 25244, 10325, 10660, 1229, 676, 772, 978, 518, 2692, 324, 1188, 267, 729, 2919, 585, 713, 3498, 543, 20533, 593, 513, 2780, 269, 570, 13967, 2488, 513, 1797, 585, 28761, 23142, 1239, 1247, 8195, 2810, 19961, 4398, 269, 634, 15163, 568, 2799, 17513, 6988, 269, 769, 1880, 267, 519, 1726, 961, 529, 1232, 18344, 3340, 1164, 18286, 267, 3498, 10391, 3059, 5365, 4393, 630, 9169, 303, 264, 13365, 269, 589, 1062, 3070, 1759, 593, 519, 19120, 8333, 966, 3438, 6798, 1232, 18344, 543, 519, 22630, 577, 760, 667, 9915, 17513, 13365, 568, 4843, 563, 294, 1495, 619, 523, 267, 700, 269, 595, 563, 303, 9438, 532, 2916, 1689, 267, 3384, 2200, 30396, 267, 543, 19086, 2067, 9651, 1981, 616, 1950, 15834, 2591, 538, 519, 2520, 657, 31190, 602, 2154, 519, 5610, 540, 1239, 543, 1702, 689, 19635, 10459, 543, 10253, 269, 901, 2186, 540, 15834, 2257, 666, 1152, 8853, 952, 3621, 2950, 960, 1927, 543, 15666, 547, 1455, 4441, 540, 3621, 8699, 267, 7881, 267, 1239, 2359, 267, 1225, 566, 267, 543, 4687, 269, 3163, 543, 1239, 1510, 8699, 543, 7881, 666, 2144, 1712, 519, 1360, 5958, 540, 519, 3621, 13055, 543, 5732, 2800, 2486, 543, 519, 4541, 269, 769, 24014, 1981, 9382, 540, 2067, 10898, 666, 1291, 547, 4057, 5079, 538, 4070, 267, 6142, 267, 543, 6595, 3210, 269, 5549, 8091, 4879, 540, 7777, 2200, 666, 22625, 513, 2754, 267, 6861, 513, 2199, 4346, 267, 543, 8764, 622, 606, 5117, 269, 901, 1957, 6799, 1883, 7881, 543, 8699, 2055, 19610, 609, 519, 2101, 3334, 540, 519, 1382, 1239, 1272, 4783, 269, 634, 2055, 666, 581, 1031, 676, 519, 11001, 1282, 519, 3621, 1184, 547, 948, 2327, 519, 8699, 543, 7881, 540, 741, 1382, 543, 15984, 547, 3280, 1239, 2359, 2259, 269, 5999, 1331, 9270, 585, 1930, 267, 10319, 2257, 267, 799, 568, 21739, 4657, 519, 5539, 540, 3744, 3823, 1239, 4687, 543, 10063, 322, 2225, 269, 634, 8313, 540, 3119, 1239, 267, 2409, 267, 3631, 267, 3301, 267, 543, 32262, 1590, 1831, 513, 2343, 540, 2257, 269, 1703, 616, 849, 2055, 602, 5401, 519, 10196, 547, 1589, 827, 519, 4324, 540, 741, 960, 547, 2486, 282, 4180, 9698, 267, 2463, 267, 543, 14619, 538, 2324, 609, 1866, 282, 543, 2141, 20678, 585, 19969, 267, 17284, 267, 543, 11413, 563, 298, 7795, 333, 580, 330, 267, 9986, 2378, 282, 645, 7238, 750, 333, 267, 589, 26413, 631, 282, 1234, 25534, 267, 808, 839, 282, 5576, 7564, 2536, 267, 769, 2998, 282, 645, 20672, 2401, 267, 589, 1598, 573, 282, 808, 826, 696, 1676, 267, 4460, 639, 282, 717, 601, 1457, 4565, 558, 267, 4569, 5362, 282, 670, 732, 526, 5633, 267, 590, 580, 5090, 454, 763, 5610, 540, 3621, 1382, 883, 2564, 2069, 568, 513, 4922, 5941, 1888, 269, 4107, 1382, 2866, 3292, 616, 6035, 593, 513, 17319, 4493, 269, 769, 5125, 267, 621, 568, 16601, 547, 2347, 513, 25719, 5098, 547, 3489, 519, 4081, 2140, 834, 4777, 2758, 2668, 634, 4128, 1946, 1053, 1376, 513, 12031, 1788, 543, 519, 3310, 540, 713, 1788, 593, 741, 15938, 2090, 543, 2663, 4876, 5079, 616, 711, 1134, 1634, 269, 901, 1353, 729, 5342, 693, 2947, 4436, 9945, 538, 476, 1220, 274, 267, 609, 513, 2698, 540, 476, 275, 4391, 11359, 4458, 1053, 10283, 538, 621, 269, 589, 3044, 2213, 18102, 729, 1031, 547, 2307, 5171, 827, 741, 1699, 610, 8737, 12031, 630, 16766, 589, 1070, 513, 12031, 789, 1185, 19944, 4240, 630, 16766, 645, 264, 610, 1946, 789, 1185, 2760, 3323, 513, 12031, 1788, 630, 16766, 595, 1040, 634, 1079, 1034, 1271, 4128, 585, 1053, 689, 1895, 589, 547, 1376, 513, 12031, 941, 834, 15517, 538, 519, 1888, 257, 543, 834, 7349, 720, 585, 2816, 3156, 2668, 22702, 609, 1895, 645, 267, 789, 5018, 834, 574, 2889, 1386, 2702, 547, 9691, 813, 571, 1047, 3621, 2090, 257, 543, 834, 4777, 532, 3621, 960, 10446, 257, 3648, 811, 1419, 607, 513, 1267, 540, 2324, 593, 741, 12031, 269, 18786, 513, 12031, 1788, 2038, 1282, 15938, 2090, 729, 17047, 609, 513, 1447, 3811, 6364, 269, 5047, 267, 2324, 593, 513, 12031, 3648, 4389, 942, 6170, 593, 15938, 2090, 269, 4841, 689, 1895, 595, 3957, 519, 834, 1740, 2903, 540, 15938, 2090, 257, 543, 834, 7224, 942, 257, 1034, 4749, 607, 4128, 585, 711, 2348, 3323, 513, 12031, 269, 4841, 945, 723, 1044, 2324, 6707, 593, 513, 12031, 2557, 3688, 3823, 519, 11601, 540, 3621, 1382, 1983, 3648, 811, 9797, 267, 543, 7589, 538, 15938, 2090, 4667, 547, 581, 11874, 4299, 676, 2324, 593, 513, 12031, 1788, 269, 4475, 267, 2596, 2866, 538, 3621, 1382, 12191, 1058, 1831, 606, 7471, 851, 540, 519, 2564, 15938, 6437, 267, 1247, 2027, 3292, 1058, 581, 6035, 585, 1053, 609, 513, 1880, 1719, 538, 3621, 1382, 454, 291, 686, 612, 523, 267, 589, 5919, 590, 3326, 773, 267, 6754, 282, 667, 6686, 6202, 267, 29849, 454, 1607, 3184, 26564, 519, 18759, 540, 513, 10196, 3742, 538, 9804, 2792, 827, 519, 991, 540, 5683, 9270, 538, 6639, 1382, 269, 1323, 23904, 4214, 540, 7881, 267, 1373, 519, 1148, 547, 1118, 1434, 946, 540, 2029, 267, 568, 6069, 602, 11363, 519, 8209, 9525, 540, 711, 454, 297, 2158, 267, 570, 878, 807, 590, 563, 298, 3317, 996, 8738, 651, 781, 2035, 540, 20116, 267, 5559, 32236, 267, 2165, 514, 2065, 13819, 630, 704, 24632, 12086, 1070, 543, 8446, 616, 1031, 538, 713, 1957, 547, 17854, 543, 1463, 17685, 8590, 2792, 1382, 269, 8422, 17685, 8590, 16097, 734, 322, 8590, 4756, 2079, 267, 2499, 1113, 2079, 267, 543, 17801, 558, 1385, 1108, 734, 732, 8947, 538, 519, 1957, 1210, 891, 2035, 269, 7498, 4517, 3205, 267, 14732, 670, 5919, 1656, 11524, 454, 5327, 32606, 519, 5274, 9442, 3194, 10418, 15511, 18482, 269, 634, 6538, 5161, 540, 936, 476, 10384, 1098, 8282, 543, 27573, 19929, 689, 8424, 540, 10529, 9907, 689, 476, 278, 268, 1691, 269, 634, 10529, 616, 6592, 936, 476, 273, 1296, 1247, 21365, 18756, 1966, 9010, 4247, 267, 543, 519, 1482, 8424, 540, 10529, 616, 6592, 936, 476, 273, 1296, 21365, 476, 1015, 1114, 7498, 21609, 619, 267, 27692, 282, 6182, 684, 580, 267, 30038, 20811, 589, 563, 5475, 24152, 15594, 3069, 630, 935, 24632, 1436, 543, 4162, 1070, 513, 1353, 8947, 8456, 4724, 2152, 2348, 547, 798, 609, 15594, 14172, 543, 519, 4610, 540, 19761, 543, 2792, 267, 3226, 12570, 519, 14496, 540, 519, 6671, 7326, 602, 2021, 616, 15695, 1996, 3257, 15594, 1382, 269, 634, 5396, 941, 513, 1625, 1842, 633, 7498, 289, 584, 8208, 339, 267, 661, 269, 681, 5919, 20289, 656, 344, 267, 715, 269, 918, 5919, 1546, 294, 10174, 267, 681, 269, 631, 563, 31535, 707, 3755, 568, 513, 2565, 851, 540, 3384, 4376, 547, 581, 1031, 610, 4810, 676, 513, 1480, 1373, 269, 14871, 11042, 267, 3460, 7851, 267, 543, 1268, 553, 616, 782, 2553, 4122, 6964, 538, 1480, 19721, 1374, 2853, 1317, 789, 723, 8810, 2500, 585, 26655, 519, 1374, 540, 2472, 543, 2533, 602, 2743, 519, 2115, 540, 3755, 269, 3509, 1875, 17393, 793, 619, 616, 23387, 540, 519, 28252, 540, 1268, 553, 543, 3460, 7851, 269, 12207, 945, 616, 5461, 538, 3384, 811, 2500, 2472, 543, 2792, 666, 9772, 543, 2308, 3593, 19721 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

[ 9058, 8906, 269, 6884, 267, 1346, 14191, 547, 721, 3180, 6456, 15421, 5827, 540, 2870, 28986, 269, 6787, 1480, 610, 3662, 267, 2462, 610, 1507, 267, 4896, 666, 3565, 9797, 547, 741, 2950, 543, 19644, 5389, 269, 8414, 14812, 256, 0, 2080, 568, 606, 1349, 689, 513, 2546, 912, 257, 2691, 9568, 16716, 593, 835, 4411, 8285, 18832, 267, 621, 779, 909, 547, 17491, 700, 2794, 267, 513, 2370, 29152, 28419, 267, 547, 948, 13244, 4688, 8285, 256, 21661, 519, 1158, 593, 713, 669, 11035, 3781, 267, 8695, 543, 6690, 616, 7996, 585, 13244, 547, 865, 541, 936, 741, 22908, 609, 1010, 10760, 556, 785, 17621, 543, 3142, 6799, 267, 17711, 267, 543, 9162, 269, 1809, 950, 6196, 12142, 19162, 543, 1010, 2319, 540, 556, 785, 17621, 2887, 7210, 1282, 741, 3781, 569, 8184, 267, 621, 779, 909, 547, 519, 16933, 593, 519, 3244, 332, 976, 3484, 547, 4688, 519, 1554, 563, 306, 9017, 512, 15085, 1010, 23472, 267, 32125, 556, 785, 17621, 538, 519, 7123, 543, 5734, 2583, 909, 519, 16933, 547, 7485, 519, 11739, 662, 269, 898, 4667, 899, 519, 16933, 616, 4712, 547, 8038, 267, 855, 950, 13244, 13290, 547, 1931, 873, 909, 267, 646, 30877, 646, 779, 4503, 1010, 5639, 256, 898, 779, 909, 547, 17491, 700, 2794, 547, 1289, 856, 1142, 540, 519, 16933, 685, 4408, 538, 1010, 10978, 5639, 543, 948, 13244, 5838, 519, 6799, 547, 1453, 10876, 563, 1607, 1427, 2454, 540, 519, 2085, 6040, 13957, 6969, 8285, 6648, 568, 2386, 547, 1831, 513, 5929, 3294, 609, 922, 2868, 569, 267, 795, 14709, 267, 15319, 6253, 549, 730, 13244, 543, 2370, 29152, 17491, 700, 2794, 945, 17990, 8285, 585, 3025, 563, 10666, 519, 8191, 454, 299, 3010, 2237, 606, 2502, 543, 3015, 1576, 1770, 538, 513, 1837, 585, 1647, 1153, 1053, 1644, 547, 519, 1349, 1657, 267, 2519, 593, 834, 9199, 1885, 543, 31654, 1682, 257, 607, 851, 540, 834, 16300, 13493, 1315, 32733, 1299, 18270, 725, 1315, 12390, 4157, 27204, 2668, 634, 1543, 1058, 581, 3358, 585, 1647, 1153, 1053, 1510, 1991, 1702, 540, 519, 1888, 780, 2521, 547, 1384, 268, 3629, 2143, 3137, 267, 2057, 2930, 3822, 267, 543, 1459, 519, 2093, 538, 513, 3551, 267, 2239, 3159, 563, 268, 3417, 1806, 547, 1118, 519, 1641, 3839, 543, 3078, 585, 1762, 1647, 1153, 1053, 563, 268, 3680, 4304, 519, 1357, 1349, 538, 519, 1837, 269, 1684, 711, 1331, 513, 2140, 610, 2606, 2453, 269, 3399, 1603, 519, 1543, 2047, 269, 0, 5403, 5937, 529, 2120, 24486, 18401, 12020, 281, 589, 4591, 2065, 13979, 2509, 22990, 1304, 18877, 692, 7072, 692, 1103, 519, 21987, 540, 513, 9568, 267, 2950, 616, 1419, 2451, 21679, 609, 519, 18447, 4305, 540, 31811, 741, 5989, 269, 634, 6595, 2359, 2361, 17767, 602, 713, 6051, 5123, 568, 513, 2565, 795, 15802, 1141, 3664, 1500, 666, 2901, 7794, 610, 2417, 14020, 2146, 30840, 269, 901, 3184, 12538, 883, 2022, 16162, 2120, 5989, 6051, 4058, 267, 10771, 519, 2956, 540, 13784, 267, 6940, 267, 543, 5647, 269, 1635, 3695, 1883, 2035, 267, 1655, 2853, 267, 543, 4207, 2591, 267, 649, 2832, 547, 16491, 2104, 6595, 9946, 609, 519, 1702, 2838, 547, 6536, 14388, 2950, 5827, 540, 29056, 14488, 780, 8139, 5403, 5937, 529, 2120, 24486, 18401, 12020, 692, 4263, 922, 4295, 267, 2022, 16162, 2120, 5989, 6051, 4058, 4016, 547, 519, 1184, 676, 799, 4299, 22875, 18928, 2708, 3441, 267, 3715, 14422, 267, 21138, 2200, 267, 543, 2936, 3800, 6322, 693, 19620, 4105, 2533, 543, 6703, 1739, 513, 21472, 2680, 269, 6270, 2621, 949, 7854, 2067, 10898, 899, 24377, 267, 17160, 267, 23967, 267, 16767, 267, 610, 6639, 12469, 971, 607, 3114, 29908, 267, 6880, 3430, 2931, 267, 610, 5989, 14286, 269, 17859, 540, 519, 24254, 10071, 267, 891, 9333, 752, 902, 28173, 6297, 11558, 1851, 1585, 8639, 267, 1519, 2229, 8041, 267, 4357, 5823, 9988, 267, 18758, 3906, 267, 543, 12936, 4961, 780, 763, 10020, 540, 32213, 5071, 538, 5403, 5937, 529, 2120, 18401, 692, 2304, 8537, 1935, 547, 2022, 16162, 2120, 5989, 6051, 5849, 602, 782, 2818, 540, 2486, 723, 3160, 1569, 547, 1898, 2533, 543, 3255, 1282, 519, 31811, 1184, 269, 11790, 971, 607, 2085, 267, 4008, 3961, 267, 5198, 267, 14940, 267, 14227, 4567, 267, 543, 2702, 1590, 581, 3144, 883, 2272, 950, 1106, 6819, 2994, 585, 11808, 269, 23299, 547, 798, 865, 4220, 12615, 908, 4540, 13103, 543, 14944, 1456, 2949, 2146, 8171, 269, 1280, 3236, 267, 10714, 532, 3015, 6283, 3681, 949, 17225, 2043, 609, 10688, 23043, 689, 17034, 3782, 6703, 610, 7694, 7740, 267, 7551, 31328, 9979, 540, 6710, 543, 17181, 780, 288, 8037, 1383, 540, 8537, 1374, 538, 2259, 2501, 689, 1715, 20252, 2022, 6953, 584, 13606, 15576, 27444, 269, 1306, 851, 540, 519, 2749, 781, 26016, 1436, 3646, 267, 24990, 11368, 8471, 1374, 3741, 883, 8027, 7835, 267, 1857, 5624, 267, 543, 18302, 1949, 269, 1452, 12381, 3769, 30523, 15155, 1186, 267, 28241, 22338, 585, 11617, 15176, 19516, 20379, 267, 543, 28253, 4831, 339, 3591, 23695, 547, 8795, 15627, 543, 5759, 269, 1635, 8508, 13784, 267, 1715, 20252, 27838, 513, 811, 12581, 1604, 20009, 547, 1279, 3856, 6051, 543, 6043, 780, 306, 7739, 1464, 19047, 538, 5403, 5937, 529, 2120, 24486, 18401, 692, 2026, 2916, 1689, 14556, 5809, 3665, 4365, 2621, 267, 6220, 4264, 2853, 883, 2022, 16162, 2120, 5989, 6051, 814, 1831, 5051, 14063, 269, 12655, 4485, 3343, 547, 7413, 2825, 5222, 1247, 21924, 4199, 4398, 267, 13916, 267, 543, 15325, 269, 6201, 540, 971, 2994, 1331, 9001, 3039, 2679, 2326, 267, 7598, 1648, 18026, 4066, 267, 8497, 1930, 2230, 267, 543, 5009, 11741, 4683, 1646, 3270, 780, 3080, 2013, 1353, 10223, 519, 2640, 540, 4264, 2022, 16162, 2120, 6051, 568, 519, 16646, 4674, 538, 13983, 839, 7921, 267, 17857, 1739, 513, 14042, 28575, 538, 476, 1220, 278, 269, 2871, 3660, 676, 513, 7029, 547, 4742, 513, 2203, 3039, 2146, 267, 2199, 3401, 7550, 22608, 4808, 8260, 908, 19845, 3633, 1773, 11294, 636, 13995, 585, 18513, 5656, 267, 7791, 1648, 2959, 267, 543, 7347, 7088, 4248, 2359, 1949, 269, 9182, 267, 13983, 839, 7921, 814, 7153, 607, 513, 13009, 4565, 1794, 518, 538, 4264, 556, 31141, 267, 19788, 3486, 3007, 543, 11121, 824, 2950, 547, 1246, 9290, 780, 299, 1197, 1645, 30404, 16370, 585, 24046, 26504, 692, 18770, 1734, 538, 2029, 3136, 547, 3337, 519, 5251, 540, 6595, 2359, 267, 5356, 3209, 3435, 585, 7393, 840, 16162, 2120, 17846, 267, 3210, 7207, 267, 543, 2022, 16162, 2120, 6051, 4238, 269, 2368, 6932, 10124, 26405, 547, 22499, 2022, 16162, 2120, 5989, 6051, 1331, 1384, 272, 269, 12829, 8596, 543, 14164, 3457, 281, 7464, 6066, 5464, 1949, 5512, 2038, 7020, 540, 1761, 6937, 267, 7175, 16190, 6304, 543, 4227, 29987, 2404, 609, 18203, 269, 3958, 267, 5100, 21870, 11126, 1379, 3892, 5121, 267, 4180, 3608, 14305, 540, 3908, 2200, 1282, 856, 1137, 563, 273, 269, 1133, 2006, 2740, 19666, 6472, 630, 308, 16787, 338, 2567, 4746, 1634, 607, 19025, 267, 772, 16787, 338, 7520, 4028, 4879, 540, 8697, 2127, 267, 3246, 1164, 22822, 11052, 543, 1239, 585, 5483, 3375, 6194, 269, 5015, 267, 789, 666, 4217, 538, 12419, 7727, 547, 2182, 3562, 3146, 778, 6753, 610, 24317, 3937, 585, 7816, 4247, 563, 274, 269, 14464, 4987, 630, 9590, 264, 543, 3684, 1565, 630, 7876, 2567, 21023, 633, 12642, 13324, 676, 3642, 270, 7876, 6620, 3986, 32638, 4656, 267, 20928, 4199, 14305, 267, 543, 1217, 7580, 9541, 538, 5989, 18175, 10232, 269, 5047, 267, 891, 2645, 666, 11880, 924, 3441, 16759, 3157, 267, 23960, 6142, 6811, 4393, 543, 2883, 6351, 23425, 563, 275, 269, 14044, 4641, 630, 23623, 264, 543, 21284, 4641, 630, 2752, 2567, 8056, 619, 633, 2866, 13502, 6035, 998, 15283, 270, 2752, 5867, 24772, 13781, 23982, 267, 4180, 16169, 538, 7463, 1983, 2838, 585, 2022, 16162, 2120, 6051, 3646, 269, 5015, 267, 891, 4066, 1489, 1857, 6278, 7341, 267, 3850, 4961, 547, 14650, 6069, 4566, 543, 5639, 4145, 1354, 6388, 780, 6962, 692, 8070, 16162, 2120, 5989, 6051, 4058, 4564, 1312, 606, 10373, 4161, 543, 606, 26080, 4316, 585, 13321, 7925, 2950, 883, 14388, 3283, 269, 1635, 12561, 8537, 6272, 267, 22299, 532, 6940, 267, 543, 16107, 5499, 4066, 267, 6595, 9946, 666, 11349, 5054, 602, 2149, 741, 11317, 689, 2800, 1247, 5807, 1514, 9698, 267, 2804, 13884, 267, 543, 8733, 19642, 269, 21150, 1046, 532, 593, 713, 3460, 3340, 22509, 697, 267, 5698, 267, 543, 513, 32344, 11428, 547, 6024, 6454, 1107, 2418, 602, 9114, 693, 519, 2295, 540, 2500, 6595, 2359, 2069, 543, 2259, 269, 0, 2080, 568, 606, 1349, 689, 513, 2546, 912, 3269, 1607, 568, 10691, 513, 4530, 281, 4024, 519, 13780, 781, 17073, 1325, 1068, 3590, 5548, 1853, 519, 5518, 781, 24606, 547, 519, 5398, 24350, 14818, 574, 3415, 540, 3627, 681, 269, 966, 2795, 333, 267, 17348, 17367, 454, 13233, 7027, 593, 26225, 630, 301, 7374, 994, 8138, 1260, 2466, 6590, 593, 9483, 4886, 267, 5398, 29844, 2676, 663, 17073, 5004, 454, 9558, 1636, 566, 543, 24486, 9730, 454, 308, 2529, 269, 5600, 540, 24929, 454, 22154, 568, 10691, 513, 4530, 281, 4024, 519, 13780, 779, 17073, 1325, 1068, 3590, 5548, 1853, 519, 5518, 779, 24606, 547, 519, 5398, 18313, 26607, 11888, 267, 5181, 476, 1789, 267, 476, 1220, 280, 454, 21327, 278, 14105, 14315, 5600, 8433, 8490, 454, 16039, 269, 17348, 30513, 267, 681, 21403, 16588, 667, 27927, 5174, 531, 691, 267, 543, 16840, 540, 519, 5600, 18815, 543, 24486, 4427, 1260, 2466, 6590, 593, 9483, 4886, 267, 5398, 29844, 267, 543, 17073, 5004, 912, 4002, 15773, 540, 519, 2817, 7027, 593, 26225, 267, 9684, 596, 585, 519, 4316, 547, 1683, 2854, 21981, 547, 519, 4427, 1260, 2466, 6590, 585, 519, 6217, 2221, 269, 4014, 519, 7027, 779, 2487, 1867, 3091, 2079, 543, 9659, 3609, 7840, 3823, 519, 3003, 1272, 4783, 540, 513, 9568, 267, 649, 3970, 3010, 2237, 606, 3573, 543, 2143, 1576, 1770, 538, 513, 1837, 585, 2852, 1053, 1644, 547, 519, 1349, 1657, 267, 2519, 593, 834, 8070, 5937, 529, 2120, 24486, 18401, 12020, 257, 607, 851, 540, 834, 31900, 1299, 22957, 1315, 17073, 5004, 2668, 1684, 711, 1175, 1592, 2035, 267, 855, 1020, 1142, 835, 538, 1469, 1354, 3001, 547, 519, 1985, 267, 607, 649, 4225, 3178, 540, 1620, 543, 3102, 3408, 540, 519, 1641, 2339, 936, 4560, 780, 2521, 547, 1384, 268, 3550, 538, 3829, 3795, 540, 519, 2035, 563, 268, 2422, 513, 2239, 267, 2219, 4538, 2511, 563, 268, 4045, 519, 1888, 609, 1699, 3466, 267, 1483, 3734, 1806, 267, 610, 2487, 2090, 563, 2710, 711, 1331, 513, 2140, 267, 2606, 2453, 267, 610, 2592, 269, 3503, 519, 1543, 2047, 269, 0, 3848, 476, 1015, 281, 715, 27658, 3203, 543, 24484, 902, 910, 589, 6733, 693, 5020, 28259, 539, 676, 4826, 692, 8702, 267, 12703, 17701, 256, 1411, 2811, 827, 547, 7832, 593, 606, 7499, 3460, 998, 942, 267, 1141, 596, 786, 3605, 6909, 562, 27658, 1148, 6273, 676, 1272, 2282, 1390, 4703, 540, 1216, 269, 901, 3184, 6212, 593, 1079, 15999, 12647, 536, 867, 1359, 519, 4190, 1533, 540, 16855, 1107, 8235, 12309, 543, 8235, 32493, 269, 2913, 781, 4685, 1318, 538, 2439, 1262, 4089, 476, 272, 281, 17553, 590, 841, 609, 715, 27658, 3203, 4373, 5970, 596, 2479, 16545, 1018, 621, 1131, 581, 899, 547, 13743, 2066, 5318, 7297, 286, 10801, 1686, 267, 1004, 723, 1031, 16996, 543, 9635, 547, 2951, 267, 4123, 5370, 267, 543, 2263, 1007, 3338, 269, 1306, 789, 1705, 267, 5159, 9676, 741, 15322, 538, 10367, 4904, 609, 10578, 3877, 269, 1452, 1568, 540, 1148, 2995, 721, 4241, 2984, 827, 938, 11937, 262, 3347, 609, 519, 1216, 780, 265, 7078, 17041, 5994, 5870, 513, 7874, 544, 1069, 4660, 1247, 15385, 519, 5836, 269, 2334, 781, 10502, 1018, 5949, 538, 17713, 23323, 528, 13153, 20918, 23264, 339, 781, 7206, 834, 288, 631, 1069, 4660, 2037, 577, 13589, 513, 1530, 2378, 13145, 2437, 2813, 1259, 1394, 538, 476, 7277, 273, 256, 898, 2982, 721, 1175, 835, 1383, 540, 519, 9589, 8941, 1336, 1369, 562, 27658, 1148, 780, 1262, 4089, 476, 273, 281, 20283, 1412, 305, 895, 519, 4279, 20463, 4373, 3086, 1577, 781, 1205, 1808, 543, 1445, 593, 1346, 23836, 4703, 540, 1216, 649, 5018, 4505, 269, 9894, 596, 917, 602, 519, 4279, 20463, 2270, 5176, 835, 1922, 604, 628, 540, 3047, 781, 4195, 2627, 1216, 286, 2334, 1797, 972, 729, 7899, 540, 6667, 585, 5159, 3168, 547, 7001, 10875 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

[ 998, 513, 2013, 1353, 540, 1160, 21745, 344, 4569, 10794, 454, 265, 21414, 519, 2640, 543, 19363, 540, 1210, 3059, 2645, 538, 6128, 2069, 692, 7072, 912, 1103, 2221, 781, 1158, 267, 2029, 814, 1831, 606, 7533, 851, 540, 1169, 2460, 540, 1272, 267, 1519, 2069, 269, 2060, 519, 4473, 540, 3872, 11080, 5867, 971, 607, 1160, 21745, 344, 4569, 10794, 267, 972, 814, 1044, 513, 3395, 1719, 538, 6220, 13708, 2305, 883, 6128, 2069, 269, 901, 1770, 786, 5490, 883, 519, 1523, 540, 6310, 9781, 543, 1966, 9010, 2994, 1247, 7421, 519, 7145, 540, 1210, 13708, 2305, 607, 513, 3450, 1907, 998, 513, 2013, 1353, 540, 1160, 21745, 344, 4569, 10794, 780, 4089, 476, 272, 281, 19556, 21290, 543, 9046, 4149, 6295, 11150, 454, 12385, 3012, 673, 9781, 3322, 2870, 7493, 11269, 540, 1483, 8996, 3871, 547, 5659, 1950, 2042, 269, 634, 1184, 2882, 7114, 4143, 4632, 267, 14335, 4834, 267, 6061, 891, 4834, 267, 16208, 2164, 267, 543, 4570, 908, 3631, 1996, 4890, 1239, 269, 2201, 519, 824, 1688, 267, 1966, 9010, 2994, 3277, 547, 2553, 1031, 547, 4194, 6310, 2042, 7561, 269, 1452, 2994, 949, 4125, 16759, 267, 5373, 12222, 267, 3168, 585, 3270, 267, 2324, 18807, 267, 610, 14874, 7399, 269, 769, 713, 3296, 267, 649, 786, 2263, 1585, 6310, 9781, 4485, 543, 1966, 9010, 2994, 780, 4089, 476, 273, 281, 11137, 540, 1160, 21745, 344, 4569, 10794, 454, 3682, 21745, 344, 4569, 10794, 568, 606, 13261, 1565, 3760, 2966, 585, 918, 268, 279, 1053, 602, 10905, 2609, 540, 1909, 25178, 532, 3756, 630, 14641, 294, 264, 543, 6437, 268, 7955, 539, 2979, 2055, 269, 4841, 1711, 1285, 520, 1513, 543, 7832, 593, 1391, 338, 8506, 873, 547, 2626, 2979, 2055, 693, 741, 1377, 269, 11334, 666, 21160, 2875, 10467, 1759, 593, 1808, 3584, 267, 3950, 3356, 267, 543, 2697, 2127, 1141, 6304, 1522, 581, 2556, 269, 1284, 786, 4983, 875, 1160, 21745, 344, 4569, 10794, 26779, 6310, 9781, 543, 1966, 9010, 2994, 1369, 922, 5943, 780, 4089, 476, 274, 281, 11588, 540, 4635, 7913, 13088, 538, 9119, 4065, 454, 19445, 2645, 2709, 3875, 5383, 950, 11368, 883, 6128, 6044, 269, 1358, 1683, 3255, 585, 10531, 1565, 2833, 267, 7525, 5955, 267, 2799, 6278, 267, 543, 4824, 10333, 269, 1635, 6313, 1382, 2090, 5342, 593, 1160, 21745, 344, 4569, 10794, 267, 649, 786, 1865, 519, 1764, 540, 971, 2645, 593, 2875, 9740, 267, 8404, 267, 543, 6015, 2157, 780, 4089, 476, 275, 281, 8571, 10587, 540, 4635, 7913, 13088, 538, 9119, 4065, 454, 4407, 3059, 2645, 723, 1082, 2640, 267, 789, 849, 1459, 2591, 269, 1280, 3236, 267, 7050, 5496, 942, 1223, 1291, 547, 8519, 3007, 21269, 267, 25161, 2623, 267, 543, 4389, 1514, 5872, 1983, 269, 5047, 267, 21376, 1569, 547, 3457, 543, 14479, 2152, 22652, 4540, 13103, 1851, 6267, 269, 3414, 2079, 540, 12170, 2963, 267, 649, 786, 6218, 1761, 17498, 1938, 2404, 609, 1210, 3059, 2645, 899, 1160, 21745, 344, 4569, 10794, 538, 6128, 2069, 780, 4089, 476, 276, 281, 7454, 13756, 585, 20074, 31133, 2305, 538, 9119, 19019, 454, 2414, 11694, 519, 1761, 540, 13708, 2305, 538, 6128, 2069, 267, 7855, 1058, 2015, 1896, 1655, 2853, 269, 17616, 267, 26936, 3756, 609, 1225, 14152, 6859, 5849, 602, 1053, 4497, 538, 6209, 2238, 13988, 609, 1565, 3853, 269, 19627, 267, 21934, 13783, 1489, 2337, 30497, 5716, 1628, 13654, 1702, 7930, 269, 14936, 267, 5009, 1582, 30625, 6087, 1053, 547, 6895, 741, 1378, 3356, 3927, 269, 10801, 713, 3296, 267, 649, 786, 7291, 4808, 585, 3811, 6388, 540, 13708, 1881, 6128, 4245, 780, 6962, 912, 1607, 1770, 8268, 519, 10167, 1063, 6310, 9781, 267, 1966, 9010, 2994, 267, 543, 13708, 2305, 676, 4974, 1160, 21745, 344, 4569, 10794, 269, 1306, 7855, 5051, 9772, 6639, 10124, 267, 2565, 6268, 540, 1312, 26350, 543, 25354, 3587, 1898, 269, 11086, 267, 11495, 513, 3666, 1063, 2757, 24099, 2409, 543, 3209, 4485, 2636, 721, 547, 10244, 2029, 781, 1379, 1510, 18731, 4295, 3741, 30343, 2500, 6128, 6044, 269, 0, 2080, 568, 606, 1349, 689, 513, 2546, 281, 834, 3682, 21745, 344, 4569, 10794, 5623, 1107, 10374, 4528, 1107, 594, 5795, 2724, 547, 513, 24928, 593, 519, 4950, 585, 606, 22010, 547, 1160, 21745, 344, 4569, 3014, 267, 513, 2979, 1982, 602, 594, 7012, 1406, 7620, 513, 10178, 540, 543, 585, 1945, 602, 594, 2907, 1185, 519, 1863, 4528, 540, 563, 16524, 4528, 1107, 594, 946, 5020, 540, 12049, 2979, 609, 1250, 1753, 1153, 539, 476, 1015, 1032, 2025, 269, 1261, 14560, 621, 855, 519, 6765, 540, 938, 1985, 1433, 1185, 1044, 16607, 269, 1924, 594, 4956, 547, 946, 713, 607, 513, 4960, 547, 1449, 930, 2228, 2979, 3292, 538, 519, 29291, 269, 1160, 21745, 344, 10794, 1373, 835, 540, 873, 269, 3367, 593, 585, 1250, 1160, 21745, 344, 4569, 10794, 2689, 2336, 4504, 18166, 1250, 1160, 21745, 344, 4569, 10794, 5623, 454, 296, 8910, 4862, 1866, 986, 557, 827, 1160, 21745, 344, 4569, 855, 594, 6557, 711, 2356, 513, 10178, 540, 13708, 1881, 2979, 267, 607, 1419, 3214, 6108, 1932, 1454, 942, 4730, 3330, 519, 3014, 543, 711, 2614, 942, 968, 4118, 532, 892, 10758, 3214, 1175, 1589, 519, 3756, 616, 561, 877, 1317, 519, 3014, 1404, 568, 711, 607, 1434, 607, 8726, 519, 5767, 2462, 3014, 18638, 3364, 568, 789, 899, 4730, 563, 5475, 3843, 513, 1906, 824, 3292, 1107, 9039, 540, 799, 24330, 1250, 5067, 1107, 594, 6368, 3893, 5180, 547, 4259, 1864, 909, 593, 1160, 21745, 344, 6231, 2237, 606, 3573, 543, 2143, 1576, 1770, 538, 513, 1837, 585, 2852, 1053, 1644, 547, 519, 1349, 1657, 267, 2519, 593, 9358, 7582, 22723, 13493, 1315, 9119, 1315, 4937, 1315, 19556, 21290, 543, 9046, 4149, 6295, 11150, 269, 1684, 711, 1175, 1592, 2035, 267, 855, 1020, 1142, 835, 538, 1469, 1354, 3001, 547, 519, 1985, 267, 607, 649, 4225, 3178, 540, 1620, 543, 3102, 3408, 540, 519, 1641, 2339, 936, 4560, 563, 2521, 547, 1384, 268, 3550, 538, 3829, 3795, 540, 519, 2035, 563, 268, 2422, 513, 2239, 2219, 4538, 2511, 563, 268, 4045, 519, 1888, 609, 1699, 3466, 267, 1483, 3734, 1806, 267, 610, 2487, 2090, 563, 2710, 711, 1331, 513, 2140, 267, 2606, 2453, 610, 2592, 269, 3503, 519, 1543, 2047, 269, 0, 3848, 7170, 281, 634, 11635, 21696, 281, 1215, 21805, 338, 7169, 1242, 3013, 692, 1103, 713, 3184, 267, 596, 786, 1451, 827, 835, 540, 519, 1034, 1713, 6639, 7760, 538, 1977, 1686, 910, 519, 1646, 540, 16456, 338, 256, 6969, 6517, 267, 14742, 267, 610, 16996, 267, 972, 729, 519, 834, 27860, 21696, 2437, 513, 3532, 3684, 602, 4957, 875, 1004, 5030, 267, 5249, 267, 543, 5129, 269, 1924, 10544, 707, 3206, 11503, 543, 1577, 781, 4685, 883, 519, 13858, 1650, 540, 16456, 7269, 2066, 519, 2136, 2276, 2439, 4089, 476, 272, 281, 1548, 616, 21805, 338, 888, 305, 841, 30030, 616, 5121, 540, 13475, 609, 14884, 4881, 593, 1283, 269, 3004, 1231, 2874, 540, 21525, 582, 1161, 630, 1492, 2599, 264, 17444, 1896, 7923, 6472, 1572, 16749, 6517, 610, 1286, 17699, 269, 1452, 6472, 666, 4163, 15915, 267, 26708, 630, 16591, 338, 1070, 13875, 267, 543, 811, 256, 5994, 1373, 2111, 547, 2951, 1279, 9883, 1510, 3478, 13110, 282, 4992, 899, 9059, 267, 1318, 286, 4270, 267, 7064, 547, 16456, 338, 267, 621, 2968, 513, 4641, 2439, 4089, 476, 273, 281, 589, 16684, 3778, 540, 7216, 12565, 1811, 454, 6524, 519, 8798, 540, 9252, 9817, 267, 2038, 7841, 1811, 16941, 593, 9640, 610, 8904, 547, 1847, 18535, 2059, 11308, 610, 4401, 986, 2812, 269, 1717, 267, 891, 1949, 7948, 1405, 3560, 5370, 1360, 3533, 610, 936, 1390, 9883, 269, 2334, 782, 4957, 950, 3703, 11653, 9400, 7066, 341, 603, 1157, 3710, 519, 1101, 3811, 2407, 8397, 2324, 16749, 9252, 21525, 12067, 538, 476, 5197, 275, 269, 898, 7012, 1405, 1279, 2394, 4892, 9575, 2842, 540, 713, 1007, 2029, 543, 3323, 2679, 741, 1378, 16456, 338, 780, 4089, 476, 274, 281, 8490, 519, 3689, 772, 2529, 269, 21805, 338, 454, 25567, 320, 781, 1101, 4013, 16456, 8118, 1063, 22768, 543, 11882, 538, 476, 8146, 271, 269, 1635, 519, 4571, 268, 5197, 271, 338, 267, 1082, 4872, 1630, 16556, 4296, 547, 24567, 7841, 5121, 267, 3850, 585, 5488, 6283, 540, 1004, 543, 2472, 982, 2479, 1354, 269, 1306, 11175, 9450, 31023, 267, 865, 1705, 519, 991, 585, 6325, 3444, 28029, 787, 6402, 1107, 4283, 519, 3690, 11666, 1581, 21805, 780, 4089, 476, 275, 281, 700, 11691, 570, 13715, 21661, 8033, 757, 454, 4467, 921, 1540, 538, 476, 5908, 280, 267, 519, 3690, 11666, 1581, 21805, 21401, 689, 15345, 21036, 267, 27228, 267, 547, 15762, 26963, 334, 267, 4993, 269, 4706, 4070, 2838, 10373, 4674, 267, 2200, 267, 543, 9316, 1851, 5215, 540, 4600, 267, 1519, 4457, 11082, 945, 5185, 7130, 2943, 829, 572, 30099, 998, 10792, 2175, 269, 4495, 8737, 267, 713, 4702, 14952, 3648, 4389, 2951, 942, 1063, 5032, 338, 689, 3275, 547, 6071, 2395, 2439, 4089, 476, 276, 281, 8177, 540, 21805, 338, 593, 5980, 454, 305, 841, 30030, 9927, 3232, 1272, 676, 1818, 621, 4443, 585, 3885, 547, 22653, 924, 267, 4213, 547, 1332, 267, 543, 2950, 547, 8853, 269, 1358, 849, 19658, 9235, 267, 7175, 8049, 4961, 547, 2263, 3338, 2484, 2476, 689, 1753, 269, 5047, 267, 789, 23185, 22713, 267, 2870, 6009, 543, 7700, 547, 2804, 2208, 780, 4913, 267, 3356, 3884, 1405, 2141, 3501, 269, 21805, 338, 3006, 19774, 7111, 1977, 11031, 267, 5258, 3484, 4133, 267, 543, 15054, 3106, 4220, 1813, 547, 10913, 610, 30762, 269, 6736, 891, 2591, 267, 1498, 267, 519, 1764, 540, 16456, 338, 3788, 26837, 4192, 780, 14945, 3086, 602, 596, 723, 4121, 827, 519, 4241, 1686, 540, 16456, 338, 267, 1589, 827, 1018, 938, 2729, 1131, 1413, 899, 2221, 952, 713, 5499, 2029, 22821, 1405, 2097, 2059, 269, 14348, 16314, 532, 538, 11397, 2829, 581, 607, 28125, 286, 16393, 6080, 723, 2919, 693, 971, 4028, 11250, 286, 2755, 1100, 835, 6487, 585, 2386, 267, 835, 3364, 568, 1978, 281, 21805, 338, 19117, 3013, 543, 2451, 606, 30170, 1665, 593, 922, 5251, 543, 2528, 269, 0, 2080, 568, 606, 1349, 689, 513, 2546, 912, 257, 3528, 5213, 11146, 454, 763, 1101, 19379, 543, 678, 4545, 1667, 538, 12548, 779, 7823, 2197, 31030, 593, 519, 11315, 9897, 602, 4448, 873, 547, 1142, 824, 543, 547, 519, 1158, 3564, 269, 15019, 12496, 540, 7262, 1686, 3180, 602, 16456, 338, 267, 799, 3357, 547, 519, 7823, 2197, 538, 519, 476, 6642, 271, 338, 267, 5795, 519, 3148, 606, 2804, 5818, 602, 530, 6782, 9897, 1185, 8959, 547, 4625, 17908, 563, 3719, 519, 7823, 4639, 2760, 1223, 581, 16876, 547, 519, 11507, 543, 16131, 602, 1500, 519, 986, 2812, 971, 513, 11636, 3196, 538, 1454, 540, 717, 843, 539, 6520, 3013, 269, 634, 7823, 7178, 14612, 513, 811, 4830, 4155, 267, 543, 1256, 1354, 519, 4417, 540, 519, 18914, 267, 513, 932, 3530, 2465, 6019, 678, 4545, 615, 543, 22267, 21490, 519, 1259, 547, 513, 2413, 19814, 1062, 269, 901, 3923, 267, 649, 5431, 519, 18517, 540, 7338, 16962, 661, 327, 9071, 691, 267, 945, 267, 476, 1911, 1296, 3516, 267, 5280, 3715, 519, 8116, 649, 917, 2221, 607, 519, 12548, 4972, 540, 18815, 563, 307, 269, 808, 269, 661, 327, 9071, 691, 729, 4535, 538, 7027, 18671, 742, 338, 267, 19578, 538, 476, 6977, 280, 269, 3571, 3237, 941, 689, 13325, 543, 941, 16144, 585, 519, 4154, 538, 12548, 530, 3010, 2237, 606, 2502, 543, 3015, 1576, 1770, 538, 513, 1837, 585, 1647, 1153, 1053, 1644, 547, 519, 1349, 1657, 267, 2519, 593, 834, 14946, 618, 540, 21805, 338, 257, 607, 851, 540, 834, 31900, 1299, 22957, 1315, 3778, 2668, 634, 1543, 1058, 581, 3358, 585, 1647, 1153, 1053, 1510, 1991, 1702, 540, 519, 1888, 780, 2521, 547, 1384, 268, 3629, 2143, 3137, 267, 2057, 2930, 3822, 267, 543, 1459, 519, 2093, 538, 513, 3551, 267, 2239, 3159, 563, 268, 3417, 1806, 547, 1118, 519, 1641, 3839, 543, 3078, 585, 1762, 1647, 1153, 1053, 563, 268, 3680, 4304, 519, 1357, 1349, 538, 519, 1837, 269, 1684, 711, 1331, 513, 2140, 610, 2606, 2453, 269, 3399, 1603, 519, 1543, 2047, 269, 0, 8080, 547, 938, 5986, 7045, 1141, 649, 3513, 2263, 519, 4241, 1158, 540, 2604, 5986, 256, 4653, 267, 649, 786, 1445, 593, 2870, 8949, 1567, 2714, 657, 543, 10286, 8286, 1210, 713, 2189, 1505, 269, 5213, 1405, 5855, 952, 596, 10093, 1405 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

[ 630, 320, 318, 272, 513, 318, 273, 910, 536, 318, 272, 536, 318, 273, 264, 1341, 1775, 630, 320, 318, 272, 536, 318, 273, 1341, 536, 318, 272, 513, 318, 273, 264, 3738, 263, 630, 320, 318, 272, 513, 318, 273, 910, 536, 318, 272, 536, 318, 273, 264, 910, 1775, 630, 320, 318, 272, 536, 318, 273, 1341, 536, 318, 272, 513, 318, 273, 264, 3738, 9681, 2330, 263, 320, 318, 272, 317, 273, 1341, 536, 318, 272, 317, 273, 264, 630, 320, 318, 273, 317, 273, 1341, 536, 318, 273, 317, 273, 264, 815, 630, 320, 318, 272, 513, 318, 273, 910, 536, 318, 272, 536, 318, 273, 8203, 273, 1341, 630, 320, 318, 272, 536, 318, 273, 1341, 536, 318, 272, 513, 318, 273, 8203, 273, 9681, 9827, 267, 2094, 519, 1587, 540, 1079, 2338, 952, 519, 3017, 540, 519, 10945, 540, 3368, 741, 2040, 543, 3368, 741, 3017, 10484, 2330, 263, 320, 318, 272, 317, 273, 1341, 536, 318, 272, 317, 273, 7565, 320, 318, 273, 317, 273, 1341, 536, 318, 273, 317, 273, 264, 815, 16733, 320, 318, 272, 317, 273, 1341, 536, 318, 272, 317, 273, 1341, 513, 318, 273, 317, 273, 1341, 536, 318, 273, 317, 273, 8358, 273, 8203, 273, 910, 16733, 320, 318, 272, 317, 273, 1341, 536, 318, 272, 317, 273, 910, 513, 318, 272, 317, 273, 910, 321, 318, 272, 317, 273, 8358, 273, 8203, 273, 9681, 13295, 30967, 320, 318, 272, 513, 318, 273, 910, 536, 318, 272, 536, 318, 273, 8203, 273, 1341, 630, 320, 318, 272, 536, 318, 273, 1341, 536, 318, 272, 513, 318, 273, 8203, 273, 815, 16733, 320, 318, 272, 317, 273, 1341, 536, 318, 272, 317, 273, 1341, 513, 318, 273, 317, 273, 1341, 536, 318, 273, 317, 273, 8358, 273, 8203, 273, 910, 16733, 320, 318, 272, 317, 273, 1341, 536, 318, 272, 317, 273, 910, 513, 318, 272, 317, 273, 910, 321, 318, 272, 317, 273, 8358, 273, 8203, 273, 9681, 2330, 263, 320, 318, 272, 513, 318, 273, 910, 536, 318, 272, 536, 318, 273, 8203, 273, 1341, 630, 320, 318, 272, 536, 318, 273, 1341, 536, 318, 272, 513, 318, 273, 8203, 273, 1341, 16733, 320, 318, 272, 317, 273, 1341, 536, 318, 272, 317, 273, 910, 513, 318, 272, 317, 273, 910, 321, 318, 272, 317, 273, 8358, 273, 8203, 273, 815, 16733, 320, 318, 272, 317, 273, 1341, 536, 318, 272, 317, 273, 1341, 513, 318, 273, 317, 273, 1341, 536, 318, 273, 317, 273, 8358, 273, 8203, 273, 9681, 259, 263, 320, 318, 272, 513, 318, 273, 910, 536, 318, 272, 536, 318, 273, 8203, 273, 1341, 630, 320, 318, 272, 536, 318, 273, 1341, 536, 318, 272, 513, 318, 273, 8203, 273, 259, 711, 723, 14230, 476, 273, 950, 5258, 676, 476, 275, 780, 6546, 568, 1946, 621, 568, 2838, 602, 711, 1312, 18159, 320, 318, 272, 513, 318, 273, 910, 536, 318, 272, 536, 318, 273, 7751, 543, 18159, 320, 318, 272, 536, 318, 273, 1341, 536, 318, 272, 513, 318, 273, 7751, 581, 9642, 780, 298, 1069, 527, 692, 8894, 2710, 596, 917, 602, 596, 666, 946, 1855, 311, 1934, 286, 594, 3773, 13362, 4191, 543, 19156, 865, 594, 1223, 1224, 1018, 596, 5206, 910, 594, 4126, 594, 2322, 873, 782, 538, 519, 1318, 4025, 269, 1107, 1109, 294, 518, 787, 3733, 3205, 4119, 476, 1724, 1412, 1321, 693, 476, 274, 281, 6349, 0, 258, 26592, 25705, 1107, 10934, 540, 4095, 11662, 29242, 2439, 1001, 275, 318, 304, 24520, 476, 1015, 269, 1109, 763, 4786, 540, 519, 4095, 11662, 540, 29242, 2982, 875, 922, 1858, 666, 581, 4114, 13846, 1210, 513, 2241, 2786, 20933, 3337, 269, 634, 3337, 814, 1079, 6252, 5011, 476, 6321, 272, 543, 476, 21327, 5998, 1279, 269, 634, 824, 5011, 616, 476, 5197, 543, 476, 21076, 5998, 1279, 269, 4706, 6252, 5011, 616, 476, 1911, 5998, 6306, 780, 7617, 835, 540, 519, 1739, 5036, 540, 9273, 786, 2285, 519, 1655, 19406, 540, 519, 1858, 540, 29242, 538, 4009, 12919, 2496, 263, 272, 264, 630, 5197, 1341, 476, 21076, 1341, 476, 6321, 272, 1341, 476, 21327, 12684, 1911, 454, 263, 273, 264, 476, 5197, 265, 21076, 1341, 476, 6321, 272, 265, 21327, 454, 263, 274, 264, 476, 1911, 2608, 263, 6321, 272, 266, 21327, 270, 273, 994, 263, 275, 264, 630, 1911, 270, 273, 264, 2608, 630, 21327, 1341, 476, 6321, 272, 2020, 9172, 281, 476, 1109, 763, 11662, 568, 513, 476, 1109, 339, 7275, 345, 1756, 630, 638, 7310, 10561, 609, 835, 6292, 540, 6252, 3515, 5148, 621, 666, 581, 6537, 607, 2630, 1384, 22704, 540, 519, 25671, 1756, 815, 630, 272, 270, 273, 264, 2608, 630, 8999, 540, 519, 6252, 5011, 264, 2608, 3845, 1063, 519, 6252, 5011, 815, 630, 272, 270, 273, 31618, 21327, 266, 476, 6321, 272, 12684, 1911, 269, 26840, 630, 275, 1040, 0, 258, 16387, 20131, 692, 1607, 16387, 20131, 7727, 1900, 8386, 9912, 5528, 585, 6061, 782, 2979, 13542, 269, 1284, 666, 4194, 2979, 2262, 2042, 780, 1012, 634, 7454, 16387, 20131, 692, 10481, 5852, 20131, 568, 513, 6310, 6293, 602, 20674, 547, 4194, 2979, 4834, 269, 5517, 1681, 7223, 568, 513, 1184, 540, 4466, 519, 2188, 540, 513, 1297, 269, 634, 2188, 540, 513, 1297, 616, 519, 2338, 602, 666, 7941, 621, 14961, 269, 1280, 1383, 267, 519, 2188, 540, 476, 277, 616, 476, 272, 267, 476, 273, 267, 476, 274, 267, 543, 476, 277, 269, 634, 2188, 540, 476, 1321, 616, 476, 272, 267, 476, 273, 267, 476, 274, 267, 476, 275, 267, 476, 277, 267, 543, 476, 1321, 269, 5517, 1681, 7223, 568, 513, 1184, 540, 4466, 519, 2188, 540, 606, 15821, 4082, 269, 634, 2188, 540, 606, 15821, 4082, 616, 519, 2474, 602, 666, 581, 16611, 1927, 547, 3132, 519, 10339, 1833, 269, 1280, 1383, 267, 519, 2188, 540, 1535, 317, 273, 20742, 317, 273, 616, 630, 343, 20742, 7565, 343, 3917, 1040, 5517, 1681, 7223, 568, 513, 1184, 540, 4466, 519, 2188, 540, 513, 9971, 269, 634, 2188, 540, 513, 9971, 616, 519, 2474, 602, 666, 581, 16611, 1927, 547, 3132, 519, 9971, 269, 1280, 1383, 267, 519, 2188, 540, 1535, 317, 273, 266, 273, 343, 266, 272, 616, 630, 343, 266, 272, 7565, 343, 266, 272, 1040, 5517, 1681, 7223, 568, 513, 1184, 540, 4466, 519, 6574, 1455, 3815, 540, 1079, 610, 811, 2474, 269, 634, 6574, 1455, 3815, 540, 1079, 610, 811, 2474, 568, 519, 4102, 1297, 602, 666, 7941, 782, 540, 519, 2474, 14961, 269, 1280, 1383, 267, 519, 6574, 1455, 3815, 540, 476, 2190, 543, 476, 3607, 568, 476, 1321, 269, 5517, 1681, 7223, 568, 513, 1184, 540, 28976, 606, 15821, 4082, 676, 28809, 856, 519, 6574, 1455, 3815, 689, 1142, 2165, 269, 1280, 1383, 267, 952, 596, 723, 606, 4082, 971, 607, 476, 273, 343, 317, 273, 266, 277, 343, 266, 275, 267, 596, 666, 3815, 856, 476, 273, 547, 14458, 621, 547, 1535, 263, 273, 343, 266, 274, 11924, 273, 263, 273, 1040, 5517, 1681, 7223, 568, 513, 1184, 799, 666, 581, 1031, 547, 4194, 4834, 543, 1949, 540, 4834, 269, 1677, 3815, 606, 3830, 267, 596, 991, 547, 1265, 1079, 2338, 602, 9062, 547, 2285, 596, 519, 11664, 538, 4395, 540, 519, 4756, 630, 1492, 1297, 538, 4395, 540, 1535, 1070, 543, 1039, 909, 547, 2285, 596, 519, 3586, 2165, 630, 1492, 1297, 693, 519, 1439, 1040, 1280, 1383, 281, 476, 273, 343, 317, 273, 268, 276, 343, 266, 274, 284, 271, 666, 581, 1249, 1819, 607, 630, 273, 343, 268, 274, 7565, 343, 268, 272, 6661, 271, 1677, 4194, 513, 1062, 540, 4834, 676, 28809, 267, 596, 991, 547, 1265, 1079, 2338, 602, 9062, 547, 2285, 596, 835, 540, 707, 14170, 630, 320, 610, 536, 1070, 543, 1039, 909, 547, 2285, 596, 835, 1993, 707, 21635, 630, 322, 610, 546, 1040, 1280, 1383, 281, 476, 273, 343, 20742, 284, 276, 476, 274, 343, 3917, 15871, 272, 666, 581, 1249, 1819, 607, 630, 273, 343, 20742, 7565, 274, 343, 3917, 6661, 263, 276, 7565, 268, 272, 264, 476, 276, 15383, 15871, 276, 476, 280, 343, 317, 273, 268, 276, 284, 3393, 476, 280, 16282, 1532, 15871, 322, 1411, 666, 1287, 4194, 585, 1535, 543, 586, 1210, 2901, 1505, 269, 1403, 596, 1616, 547, 1451, 811, 827, 28809, 7223, 267, 972, 616, 1082, 2200, 2139, 2228, 543, 538, 8021, 269, 1703, 616, 849, 1082, 3301, 3292, 602, 666, 948, 596, 609, 713, 1184, 269, 5517, 1681, 7223, 568, 513, 1184, 602, 666, 581, 1031, 547, 4194, 4834, 543, 1949, 540, 4834, 269, 1635, 28809, 856, 519, 6574, 1455, 3815, 689, 1142, 2165, 267, 596, 666, 14458, 606, 4082, 610, 3830, 269, 1411, 666, 849, 946, 28809, 547, 4194, 1949, 540, 4834, 676, 4466, 1079, 2338, 602, 9062, 547, 2285, 596, 835, 11664, 543, 1039, 909, 547, 2285, 596, 835, 3586, 2165, 269, 1703, 616, 1082, 2200, 2139, 952, 596, 1616, 547, 1451, 811, 827, 28809, 7223, 269, 12229, 3292, 666, 849, 948, 609, 713, 1184, 780, 2691, 621, 2501, 547, 2979, 267, 1169, 2875, 1223, 946, 513, 2370, 3063, 948, 689, 942, 547, 942, 269, 6787, 596, 2811, 10010, 547, 1174, 513, 1523, 610, 1175, 991, 513, 2370, 3063, 2259, 267, 2661, 2979, 948, 666, 1118, 782, 519, 3017, 269, 1703, 616, 513, 1297, 540, 1114, 2081, 547, 1205, 2661, 2979, 948, 267, 1519, 2228, 23468, 543, 6780, 948, 7270, 269, 1717, 267, 835, 540, 519, 1655, 2081, 547, 1205, 2661, 2979, 948, 568, 998, 513, 16335, 813, 269, 1703, 616, 513, 1297, 540, 1390, 8924, 602, 2709, 2661, 2979, 948, 267, 543, 789, 666, 581, 513, 12468, 11232, 950, 596, 2811, 12758, 593, 513, 1966, 269, 2060, 606, 813, 267, 596, 666, 1205, 948, 538, 1483, 6066, 689, 513, 20131, 945, 6487, 875, 547, 2491, 1919, 5693, 269, 9578, 267, 596, 666, 946, 519, 813, 9170, 267, 865, 596, 666, 1205, 948, 2436, 596, 2811, 693, 1753, 610, 593, 519, 979, 269, 1403, 596, 2811, 3168, 585, 2661, 2979, 948, 267, 581, 2386, 547, 2638, 856, 930, 540, 519, 1390, 813, 3681, 2139, 780, 2710, 532, 2979, 6780, 666, 581, 4101, 543, 24858, 269, 1717, 267, 972, 616, 930, 2081, 547, 1118, 621, 1447, 11213, 269, 3689, 267, 621, 568, 1271, 547, 1711, 513, 9602, 267, 796, 5793, 32152, 2230, 538, 799, 547, 960, 269, 901, 786, 948, 7413, 19240, 543, 1450, 596, 547, 1445, 593, 519, 4305, 693, 1688, 269, 19627, 267, 1491, 519, 942, 547, 1224, 519, 5528, 5402, 543, 1174, 1018, 568, 1373, 4280, 1354, 4098, 519, 7084, 269, 901, 786, 4688, 596, 942, 543, 17140, 538, 519, 1279, 2196, 269, 7053, 267, 952, 596, 1205, 12758, 267, 1810, 1405, 581, 12922, 547, 2307, 585, 948, 269, 6787, 621, 781, 513, 3659, 267, 513, 2385, 267, 610, 513, 20131, 267, 1776, 1305, 540, 4064, 666, 1419, 5544, 519, 3070, 547, 513, 1966, 811, 3362, 982, 596, 666, 269, 2060, 513, 2370, 4674, 543, 9639, 267, 2979, 6780, 666, 581, 22482, 2439, 299, 633, 2979, 948, 568, 513, 1390, 4199, 585, 1053, 945, 616, 10010, 609, 2979, 269, 898, 666, 581, 2352, 547, 1832, 909, 609, 519, 10605, 540, 513, 4928, 267, 543, 14970, 2979, 948, 2488, 1053, 609, 519, 4316, 547, 1205, 835, 6823, 14633, 6351, 689, 513, 20131, 269, 14970, 2979, 948, 568, 2523, 6225, 585, 1053, 945, 616, 3308, 6267, 269, 9861, 2111, 547, 1294, 519, 2035, 7152, 2661, 666, 1118, 513, 2462, 3017, 538, 1620, 269, 14970, 2979, 948, 568, 849, 10375, 585, 1053, 945, 723, 11112, 16131, 269, 570, 12781, 616, 2139, 693, 782, 3108, 267, 543, 7886, 666, 581, 16516, 1472, 824, 19647, 269, 6787, 596, 2811, 10010, 609, 9511, 610, 1175, 991, 513, 2370, 3063, 948, 267, 14970, 2979, 948, 568, 513, 1390, 4199, 780, 1012, 6435, 609, 2979, 692, 8649, 5074, 2856, 256, 1411, 666, 1491, 513, 4605, 540, 707, 2979, 1966, 543, 621, 786, 4194, 621, 585, 596, 543, 3391, 596, 998, 519, 1184, 540, 6061, 621, 269, 1411, 666, 3442, 1063, 2409, 540, 6061, 952, 596, 1810, 1405, 899, 519, 835, 621, 3096, 269, 898, 849, 814, 606, 5863, 9498, 799, 596, 666, 849, 946, 547, 4194, 707, 2042, 780, 23173, 8759, 8065, 692, 296, 700, 10976, 292, 713, 813, 865, 1454, 269, 898, 2337, 803, 609, 2979, 6780, 594, 1810, 1405, 1174, 543, 1287, 6941 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

[ 4090, 9731, 763, 3606, 5755, 689, 28740, 31322, 568, 6697, 547, 3592, 476, 1015, 829, 1298, 540, 519, 3592, 476, 272, 16818, 19726, 519, 3148, 3812, 538, 476, 1708, 271, 269, 634, 2197, 779, 1283, 5755, 6721, 11662, 540, 22767, 3495, 5143, 476, 7176, 15183, 547, 6318, 3977, 4390, 676, 476, 4649, 269, 274, 332, 19726, 12422, 267, 1234, 26407, 4080, 563, 5649, 811, 1934, 269, 0, 2467, 568, 513, 2565, 991, 547, 1445, 593, 1818, 3356, 593, 1646, 585, 519, 936, 476, 272, 269, 279, 5479, 1762, 1004, 538, 519, 1158, 269, 634, 2518, 15272, 4886, 12039, 630, 312, 14888, 264, 543, 7797, 1107, 513, 10516, 689, 519, 20448, 547, 519, 1158, 1107, 568, 513, 1907, 799, 2337, 721, 547, 6895, 2242, 538, 519, 3510, 540, 1762, 1004, 282, 21028, 741, 7418, 547, 519, 1158, 282, 543, 1489, 873, 607, 649, 782, 11654, 519, 12655, 4886, 17644, 630, 16256, 19199, 1916, 7437, 713, 3896, 596, 786, 581, 2111, 547, 2263, 519, 8464, 602, 476, 8687, 2477, 723, 4607, 593, 519, 476, 1708, 271, 962, 14888, 1759, 593, 3356, 1500, 585, 6107, 476, 1428, 1107, 476, 3066, 1296, 2025, 538, 476, 277, 2127, 281, 2069, 267, 7694, 543, 4316, 267, 1072, 543, 1134, 5630, 267, 7862, 543, 10014, 267, 2797, 543, 18523, 7589, 543, 4708, 543, 3354, 563, 763, 962, 14888, 6060, 568, 513, 1297, 1063, 476, 271, 543, 476, 272, 267, 609, 513, 6060, 540, 476, 272, 8204, 519, 5207, 1377, 540, 6107, 1646, 269, 18831, 723, 1044, 19882, 883, 6688, 540, 968, 854, 1164, 5608, 968, 14683, 5608, 968, 4364, 1756, 892, 543, 968, 869, 892, 2157, 540, 6107, 1646, 269, 901, 11008, 5314, 9356, 519, 2990, 540, 513, 2197, 593, 513, 8552, 8151, 689, 968, 7758, 8271, 1434, 892, 547, 968, 7758, 8271, 4057, 6100, 634, 18176, 1062, 568, 519, 1482, 607, 519, 835, 602, 24598, 1231, 519, 5274, 4886, 12039, 269, 634, 476, 1708, 271, 962, 14888, 6688, 676, 6060, 616, 912, 347, 25583, 540, 15272, 4886, 1475, 30360, 16186, 2008, 763, 962, 14888, 18793, 454, 763, 476, 1708, 271, 962, 14888, 729, 8242, 676, 519, 4659, 540, 13188, 543, 13458, 630, 296, 7968, 264, 543, 6462, 676, 938, 4891, 519, 2136, 8315, 15510, 10406, 267, 20648, 4659, 585, 10803, 267, 4139, 23267, 9257, 630, 6579, 302, 1070, 2622, 2657, 25944, 630, 21766, 264, 543, 519, 2622, 7813, 269, 1284, 9684, 519, 20448, 15272, 7027, 267, 519, 3979, 5742, 543, 13222, 689, 6608, 267, 543, 1382, 5238, 945, 3177, 15418, 998, 519, 962, 14888, 14502, 6828, 540, 20226, 269, 0, 8310, 3018, 30857, 8242, 922, 3113, 585, 9477, 519, 10865, 2534, 540, 10877, 26105, 593, 519, 6129, 779, 7298, 21571, 269, 12989, 568, 602, 8242, 3113, 267, 23064, 676, 803, 547, 1397, 519, 2250, 543, 1007, 3859, 4783, 11236, 563, 763, 3113, 1657, 814, 1044, 9168, 547, 1397, 519, 11236, 540, 519, 3859, 2257, 2146, 585, 1312, 519, 3105, 543, 14232, 3859, 5021, 338, 269, 634, 3039, 14258, 1397, 519, 2146, 779, 1079, 3312, 11236, 689, 4989, 476, 1220, 278, 585, 519, 3105, 5021, 267, 609, 3368, 519, 3744, 17782, 513, 1360, 2178, 5021, 543, 3368, 17782, 513, 4617, 835, 269, 634, 4544, 7455, 568, 741, 15428, 2904, 476, 1220, 280, 12605, 269, 634, 2699, 7455, 568, 519, 1007, 12605, 267, 1101, 11540, 676, 30857, 538, 4989, 476, 1708, 271, 563, 10303, 540, 519, 1374, 540, 713, 3113, 267, 2847, 2086, 539, 676, 30857, 538, 4989, 267, 621, 568, 2352, 693, 713, 4336, 2443, 799, 585, 2796, 2982, 1312, 519, 2250, 4783, 543, 519, 10567, 2104, 4783, 2443, 547, 1294, 519, 1840, 540, 519, 4989, 10877, 13607, 2698, 267, 950, 3379, 547, 2063, 3923, 779, 3113, 269, 11565, 803, 267, 621, 568, 972, 269, 769, 4989, 10877, 13607, 2534, 4682, 909, 267, 855, 959, 643, 6053, 865, 267, 609, 1152, 2185, 10877, 26105, 1282, 519, 3923, 267, 1614, 540, 799, 1185, 513, 6419, 8701, 640, 26471, 873, 547, 519, 1985, 3859, 5021, 563, 763, 3859, 5934, 3788, 1360, 2620, 267, 4514, 982, 519, 1360, 2620, 3105, 5934, 267, 543, 7654, 519, 2547, 3742, 538, 1079, 4627, 1296, 269, 634, 4527, 2705, 540, 811, 10877, 26105, 585, 519, 1007, 4783, 18791, 519, 20772, 602, 649, 786, 711, 581, 10024, 513, 6264, 5934, 267, 609, 1100, 10877, 26105, 585, 5756, 269, 898, 1175, 5526, 602, 267, 607, 10567, 267, 519, 1985, 3859, 5021, 786, 581, 513, 1360, 4617, 835, 563, 1692, 713, 4617, 2534, 786, 1198, 519, 2916, 3788, 606, 7164, 269, 769, 519, 2250, 267, 971, 607, 519, 4617, 5021, 602, 1175, 8694, 607, 1134, 607, 1282, 2250, 4617, 5021, 338, 693, 519, 4098, 540, 519, 476, 5197, 271, 338, 543, 519, 476, 5002, 271, 338, 267, 519, 3047, 779, 2916, 22799, 269, 898, 849, 22799, 1282, 519, 9741, 10979, 6520, 538, 519, 476, 8182, 271, 338, 267, 1282, 519, 2063, 6264, 5934, 563, 15371, 519, 1482, 786, 4755, 538, 519, 1985, 8717, 3788, 7164, 269, 6820, 8337, 15628, 786, 3409, 7543, 267, 649, 616, 782, 2469, 547, 5884, 689, 23986, 908, 269, 634, 1239, 585, 519, 2250, 8717, 18327, 873, 4636, 267, 1498, 538, 519, 4947, 1296, 789, 1522, 581, 642, 785, 5344, 563, 5472, 649, 666, 798, 568, 7227, 267, 2628, 3007, 547, 519, 1239, 267, 543, 1118, 938, 8753, 689, 602, 563, 8923, 2015, 1810, 908, 547, 19992, 519, 4563, 267, 676, 4758, 2901, 513, 835, 6066, 9295, 610, 513, 2834, 20478, 267, 607, 13890, 538, 519, 9133, 20220, 2630, 269, 2659, 1489, 786, 1450, 803, 547, 3136, 8720, 2257, 543, 2528, 607, 594, 723, 585, 519, 2250, 8938, 1296, 267, 4830, 543, 1863, 689, 1022, 3544, 3310, 563, 7312, 1489, 568, 1256, 811, 1898, 547, 803, 1317, 594, 1832, 713, 3135, 1863, 689, 22099, 543, 798, 711, 7119, 538, 18348, 1514, 2923, 3549, 899, 5616, 267, 12108, 267, 543, 9365, 269, 594, 4096, 28025, 593, 519, 1463, 1489, 540, 1250, 3988, 563, 2791, 666, 1683, 602, 1489, 547, 19992, 634, 4563, 609, 513, 9295, 3842, 4793, 516, 517, 610, 9796, 21595, 269, 1677, 946, 4793, 516, 517, 267, 979, 547, 1250, 3896, 972, 543, 4584, 835, 540, 2947, 10865, 20478, 5666, 267, 610, 676, 1818, 513, 835, 6066, 21856, 269, 1280, 9796, 21595, 4945, 835, 540, 519, 1739, 16181, 912, 2252, 4793, 516, 517, 610, 9796, 25659, 1810, 1405, 960, 585, 596, 267, 596, 666, 1489, 19992, 634, 4563, 2047, 676, 11488, 707, 21856, 676, 2638, 267, 2628, 762, 547, 7917, 2098, 20810, 2006, 267, 547, 454, 6826, 16442, 634, 4563, 454, 322, 270, 334, 7917, 2098, 20810, 2006, 454, 290, 677, 16619, 267, 589, 313, 476, 5952, 277, 7367, 0, 2690, 1053, 267, 2542, 21711, 568, 513, 1883, 3693, 540, 741, 2069, 269, 1879, 1053, 666, 1224, 2770, 1836, 267, 741, 8223, 540, 519, 1257, 4679, 269, 901, 1797, 789, 616, 2111, 547, 1174, 1018, 789, 616, 2542, 811, 5693, 267, 799, 5012, 547, 811, 4977, 1620, 543, 1732, 12802, 563, 2026, 1134, 607, 29000, 8223, 267, 2542, 21711, 5849, 1053, 616, 811, 7722, 609, 519, 1257, 543, 811, 12592, 547, 1224, 269, 1879, 596, 616, 2111, 547, 1224, 2770, 1836, 267, 519, 957, 540, 2542, 3587, 2484, 811, 11791, 269, 1280, 713, 2601, 267, 31402, 3988, 616, 811, 2693, 547, 8362, 3343, 856, 2835, 547, 1224, 267, 1312, 585, 12257, 543, 4081, 1565, 269, 1809, 1018, 4010, 568, 2542, 21711, 543, 1946, 568, 621, 1271, 888, 1432, 568, 2542, 21711, 888, 20091, 21711, 4016, 547, 606, 1367, 779, 2702, 547, 1224, 8308, 543, 609, 3432, 543, 1697, 4082, 269, 2755, 2542, 21711, 4016, 1312, 547, 2542, 16965, 543, 547, 835, 779, 1582, 267, 621, 666, 581, 1034, 3362, 12290, 676, 6998, 513, 2875, 547, 1224, 856, 10978, 563, 2252, 519, 2875, 14509, 7444, 267, 588, 3518, 956, 936, 513, 2262, 267, 610, 17337, 5220, 538, 1952, 10187, 2299, 267, 621, 949, 5815, 4389, 2542, 21711, 269, 17957, 267, 952, 513, 2875, 568, 2111, 547, 1224, 609, 3617, 3432, 543, 8591, 703, 29396, 543, 4082, 267, 741, 2542, 21711, 568, 2693, 547, 581, 3648, 2362, 563, 3963, 1281, 2542, 21711, 2339, 888, 288, 2875, 779, 2702, 547, 1224, 2770, 1836, 814, 513, 2101, 1764, 593, 741, 2069, 269, 634, 2838, 2542, 4679, 3648, 693, 1053, 685, 1935, 5580, 10026, 1153, 267, 865, 4057, 2542, 21711, 666, 1267, 538, 1053, 9991, 3297, 563, 8170, 1576, 267, 607, 1053, 3356, 2417, 998, 519, 2069, 1062, 267, 519, 2179, 540, 2838, 2542, 4679, 28354, 269, 5015, 267, 519, 7411, 540, 519, 1257, 1053, 946, 4679, 9935, 563, 2252, 1053, 616, 8572, 547, 1224, 2770, 1836, 267, 789, 786, 1265, 621, 1454, 9875, 547, 10146, 1257, 269, 901, 1419, 5012, 547, 1053, 9991, 3297, 741, 9905, 543, 7508, 741, 1565, 6859, 269, 1306, 4057, 2542, 21711, 568, 1419, 10630, 676, 3500, 2542, 3432, 267, 1053, 786, 849, 1265, 621, 9875, 547, 1205, 998, 519, 2179, 540, 2542, 602, 568, 2838, 2429, 741, 4081, 11678, 563, 10743, 609, 513, 1164, 2557, 540, 2542, 21711, 786, 581, 2111, 547, 1224, 519, 5931, 2838, 1454, 811, 3533, 855, 267, 2629, 569, 267, 789, 786, 723, 513, 1732, 1620, 540, 1018, 789, 616, 2542, 269, 901, 568, 3335, 10630, 538, 26556, 2157, 543, 10781, 267, 799, 568, 835, 540, 519, 4128, 1946, 2542, 21711, 568, 865, 1271, 563, 32575, 2542, 21711, 7965, 454, 2005, 568, 1898, 602, 3610, 543, 3237, 2697, 950, 1053, 723, 2152, 609, 2542, 21711, 269, 634, 19692, 602, 21711, 2994, 666, 581, 1031, 547, 3986, 513, 2875, 779, 2542, 5759, 267, 519, 1447, 4960, 972, 568, 540, 873, 10010, 547, 2347, 1362, 1740, 543, 6780, 563, 11795, 2159, 625, 609, 2542, 21711, 666, 1459, 538, 513, 1297, 540, 2081, 855, 519, 1034, 1455, 616, 912, 268, 14171, 513, 1279, 942, 547, 1224, 513, 8574, 454, 268, 11109, 1100, 5114, 547, 519, 1257, 950, 2542, 454, 268, 853, 559, 1540, 2542, 267, 3006, 609, 11991, 533, 13415, 1063, 1913, 454, 268, 25021, 835, 779, 5023, 950, 2542, 3623, 1836, 267, 607, 952, 11913, 1944, 519, 1913, 454, 268, 853, 22824, 936, 1913, 267, 3226, 950, 2542, 16965, 454, 268, 9293, 616, 711, 5116, 883, 6209, 4559, 454, 268, 1879, 2542, 16965, 267, 972, 568, 1100, 1689, 538, 703, 29396, 454, 268, 3502, 2921, 513, 2736, 1063, 9433, 610, 5220, 454, 268, 717, 1115, 21616, 950, 2542, 454, 4407, 3237, 949, 5469, 741, 1126, 779, 7965, 3842, 8343, 267, 3610, 666, 849, 946, 10526, 547, 3313, 513, 2875, 779, 5711, 2542, 21711, 269, 589, 2875, 949, 581, 4280, 547, 1224, 16965, 267, 585, 1383, 267, 543, 741, 4116, 786, 2268, 875, 1082, 1913, 789, 1224, 8308, 1369, 513, 835, 18826, 942, 18134, 563, 268, 15206, 476, 1015, 1913, 829, 8792, 454, 268, 5664, 540, 6103, 2290, 476, 2537, 1913, 829, 8792, 454, 268, 5664, 540, 6103, 5565, 476, 7761, 1913, 829, 8792, 454, 268, 5664, 540, 6103, 8422, 476, 10844, 1913, 829, 8792, 454, 268, 5664, 540, 6103, 9050, 476, 12208, 1913, 829, 8792, 454, 268, 5664, 540, 6103, 12866, 476, 9610, 1913, 829, 8792, 454, 5804, 3446, 2947, 27477, 267, 513, 2875, 779, 2542, 21711, 1058, 6923, 2333, 2509, 519, 3328, 1297, 540, 4977, 1913, 829, 8792, 585, 4079, 267, 799, 568, 476, 1220, 268, 7742, 563, 18719, 1324, 21711, 538, 2542, 454, 5472, 1053, 786, 581, 6026, 875, 547, 1224, 2770, 1836, 267, 4352, 930, 949, 2154, 811, 6351, 982, 1866, 269, 12071, 1890, 2994, 616, 1031, 2429, 1153, 547, 2327, 513, 1126, 779, 2542, 21711, 568, 3328, 610, 1657, 267, 610, 538, 1899, 609, 741, 1378, 9072, 563, 2467, 616, 513, 3099, 540, 2542, 21711, 2238, 602, 616, 1031, 538, 519, 4928, 547, 3986, 1053, 685, 5759, 563, 16248, 540, 519, 1034, 1455, 2542, 21711, 2994, 616, 912, 268, 15901, 730, 2542, 454, 268, 11819, 9781, 454, 268, 18776, 5464, 454, 10743, 616, 9415, 547, 1224, 519, 1482, 1570, 14578, 2394, 741, 6111, 267, 4082, 267, 543, 703, 29396, 616, 8476, 269, 1306, 1053, 1831, 811, 5432, 609, 519, 1257, 267, 741, 2702, 547, 1224, 621, 2770, 1836, 10607, 543, 741, 6015, 568, 5818, 539, 1932, 563, 30108, 9781, 666, 1491, 1585, 3029, 267, 1519, 912, 268, 23866, 29374, 2542, 454, 268, 25398, 29374, 2542, 454, 268, 11819, 29374, 2542, 454, 268, 27096, 673, 23666, 454, 12179, 2875, 945, 814, 513, 1434, 2631, 540, 4098, 4992, 543, 693, 2547, 15823, 8289, 1913, 666 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

[ 540, 922, 10066, 543, 4087, 780, 1262, 20245, 17607, 5093, 2598, 2821, 540, 23987, 2326, 19100, 267, 9657, 8164, 2009, 780, 1262, 3721, 476, 276, 281, 12305, 1715, 4406, 557, 25951, 4373, 12648, 519, 1007, 11896, 5614, 543, 7696, 621, 883, 519, 2953, 2990, 267, 4180, 1697, 10066, 780, 265, 1325, 793, 519, 5614, 27810, 609, 519, 11896, 6565, 563, 453, 266, 7638, 1518, 519, 5614, 568, 27206, 2879, 1872, 569, 1510, 7050, 3196, 563, 265, 26431, 10920, 12304, 519, 11896, 5614, 26468, 1907, 1247, 5329, 519, 5614, 538, 1747, 563, 453, 266, 19321, 1852, 1282, 10920, 16054, 547, 2061, 6727, 5322, 780, 1262, 5938, 600, 1740, 5093, 11622, 622, 609, 1866, 950, 2324, 593, 1950, 3785, 267, 4687, 9021, 543, 6791, 780, 1262, 3721, 476, 277, 281, 1234, 13318, 718, 4406, 557, 11354, 4825, 664, 619, 4373, 20278, 519, 1007, 11677, 518, 936, 519, 11896, 5614, 267, 26936, 621, 7157, 780, 265, 27387, 519, 5892, 6569, 30021, 1394, 883, 1747, 267, 9395, 2287, 621, 18172, 563, 453, 266, 15233, 9543, 267, 5812, 3196, 547, 2057, 4174, 6137, 16060, 563, 265, 570, 697, 523, 519, 30021, 538, 513, 5182, 4806, 630, 31259, 2287, 835, 561, 1872, 5594, 267, 1287, 3001, 547, 519, 1985, 264, 547, 2226, 1256, 2604, 780, 1262, 31636, 10341, 5093, 22682, 2769, 3054, 950, 7713, 2152, 610, 31392, 6351, 267, 9319, 13509, 780, 23558, 256, 1411, 4312, 6707, 4957, 707, 1101, 11896, 5614, 2439, 2026, 596, 3136, 3695, 938, 8748, 4541, 267, 3314, 547, 3251, 8049, 267, 3082, 547, 1007, 3871, 267, 543, 3343, 5583, 950, 2556, 269, 8414, 1565, 267, 3659, 256, 0, 2237, 513, 1279, 543, 1360, 2143, 5850, 593, 834, 27087, 4406, 557, 25951, 257, 538, 519, 2511, 540, 14392, 547, 606, 9813, 3957, 7705, 945, 1175, 15354, 593, 3047, 543, 814, 4642, 1702, 540, 519, 1158, 543, 1480, 4205, 269, 3417, 538, 3829, 3137, 585, 1142, 1900, 543, 782, 519, 2596, 1344, 827, 519, 2168, 543, 1480, 4205, 3238, 269, 1684, 711, 1289, 7705, 606, 9813, 269 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

[ 281, 10439, 1047, 2565, 5989, 1239, 563, 268, 7689, 476, 278, 281, 10576, 1271, 1344, 1949, 543, 2708, 741, 2956, 563, 268, 7689, 476, 279, 281, 10576, 543, 20272, 519, 32144, 687, 543, 29444, 540, 1344, 1949, 563, 268, 7689, 476, 280, 281, 10312, 593, 811, 2565, 2533, 543, 3922, 1047, 707, 2238, 563, 268, 7689, 476, 1015, 281, 10576, 6937, 543, 16426, 563, 268, 7689, 476, 1556, 281, 8178, 519, 1764, 540, 3028, 21463, 563, 268, 7689, 476, 1321, 281, 8178, 519, 4220, 2404, 609, 519, 3028, 543, 1344, 1062, 563, 268, 7689, 476, 1724, 281, 25956, 519, 2556, 3354, 3800, 563, 268, 7689, 476, 1691, 281, 8073, 513, 8647, 13539, 547, 2149, 595, 2862, 563, 268, 7689, 476, 1428, 281, 7427, 6042, 547, 2087, 519, 6880, 6043, 540, 2565, 5989, 2533, 563, 268, 7689, 476, 1626, 281, 8178, 519, 3354, 1377, 540, 707, 1344, 1949, 3054, 543, 2307, 5007, 4966, 547, 2708, 873, 607, 1134, 563, 268, 7689, 476, 1704, 281, 2480, 534, 5121, 3054, 543, 2307, 5007, 4966, 547, 11571, 873, 607, 1134, 547, 1265, 519, 1949, 602, 12582, 1406, 581, 4448, 547, 519, 5769, 855, 1869, 616, 563, 268, 7689, 476, 1240, 281, 16259, 1870, 15364, 543, 9568, 6051, 4566, 543, 1449, 873, 693, 10257, 11996, 563, 268, 7689, 476, 866, 281, 19372, 6325, 1894, 543, 2226, 873, 563, 268, 7689, 476, 736, 281, 9523, 1344, 543, 581, 513, 851, 540, 5121, 1141, 1344, 568, 3838, 563, 268, 7689, 476, 2641, 281, 21541, 1004, 547, 1118, 2386, 789, 616, 3222, 540, 6880, 6937, 543, 917, 519, 2953, 7180, 563, 268, 7689, 476, 2420, 281, 1403, 519, 595, 2862, 4027, 1062, 1281, 711, 960, 607, 9709, 610, 2285, 519, 5551, 3977, 267, 1118, 9283, 563, 268, 7689, 476, 2537, 281, 2142, 5423, 547, 1683, 2565, 5989, 2533, 1510, 8668, 1949, 269, 1403, 2009, 267, 2569, 13829, 593, 8668, 1949, 269, 1403, 2009, 267, 1282, 513, 6433, 267, 1683, 2565, 2533, 693, 4389, 10342, 543, 5924, 538, 4389, 12531, 269, 0, 20124, 689, 5440, 2762, 540, 6833, 4592, 538, 12670, 454, 2568, 962, 292, 12678, 17985, 302, 454, 9213, 5125, 568, 26621, 1346, 16586, 945, 8362, 10353, 13303, 28112, 15967, 269, 476, 2568, 1296, 3516, 2221, 519, 1034, 4583, 4729, 547, 6146, 29747, 13609, 609, 513, 5618, 13826, 10514, 729, 13986, 676, 2051, 269, 1849, 9476, 3400, 325, 2480, 1156, 330, 13153, 853, 879, 742, 28086, 1299, 930, 540, 1010, 10492, 269, 853, 879, 742, 28086, 5116, 519, 10514, 538, 513, 10554, 4055, 609, 13609, 267, 855, 950, 519, 13303, 6205, 23012, 519, 19046, 267, 519, 18211, 4531, 520, 543, 1010, 16649, 2176, 941, 18486, 543, 13401, 269, 901, 4729, 568, 1175, 835, 1383, 540, 4550, 9539, 21532, 4187, 676, 16586, 269, 853, 879, 742, 28086, 1071, 15926, 2869, 2209, 20727, 269, 2637, 269, 7009, 940, 13153, 570, 637, 1188, 578, 543, 20727, 269, 2637, 269, 17713, 744, 3122, 941, 2907, 28321, 607, 2038, 607, 476, 4350, 275, 547, 3142, 13609, 1524, 269, 769, 22540, 267, 1053, 4646, 634, 6519, 14986, 3350, 267, 26084, 30732, 7410, 28409, 834, 10139, 633, 4187, 257, 4358, 538, 476, 3707, 273, 269, 29581, 3578, 6276, 13153, 20703, 339, 651, 781, 918, 516, 529, 879, 17781, 3323, 2324, 538, 5728, 547, 1439, 519, 28983, 1222, 538, 476, 3707, 271, 269, 6145, 853, 879, 742, 28086, 267, 13153, 570, 637, 1188, 578, 267, 744, 3122, 267, 13153, 20703, 339, 651, 543, 519, 21246, 1023, 540, 634, 6519, 14986, 941, 2901, 13401, 676, 519, 21647, 610, 8149, 11980, 269, 4436, 5518, 9710, 560, 918, 4141, 327, 2401, 688, 6150, 519, 5147, 476, 736, 4729, 1562, 607, 834, 6312, 686, 1824, 257, 607, 834, 16269, 1705, 1018, 789, 1705, 585, 5125, 267, 585, 519, 1582, 9113, 1051, 540, 938, 2197, 543, 585, 513, 1732, 2104, 1701, 0, 29638, 5107, 543, 3347, 1369, 3885, 1557, 454, 23991, 267, 7365, 267, 543, 4008, 5107, 3594, 281, 1271, 729, 519, 1920, 538, 519, 1514, 3347, 540, 875, 723, 17788, 531, 5107, 4957, 1369, 519, 1920, 269, 476, 736, 8650, 1557, 12987, 593, 4008, 5107, 585, 2404, 609, 1142, 4008, 519, 2078, 1063, 3023, 543, 4008, 5107, 281, 875, 3885, 543, 7365, 269, 17291, 2635, 3347, 4008, 5107, 1299, 3347, 8263, 5539, 607, 519, 968, 30103, 7773, 1676, 892, 540, 519, 1920, 581, 9308, 10694, 269, 1284, 616, 538, 3018, 8370, 540, 713, 19496, 17489, 4081, 1603, 1362, 543, 621, 568, 942, 547, 2253, 4058, 585, 519, 2034, 1557, 7084, 649, 723, 1224, 1614, 4930, 593, 4008, 5107, 543, 5941, 269, 4828, 593, 2757, 4008, 1909, 3045, 773, 23296, 19924, 698, 601, 544, 3464, 561, 826, 321, 2041, 327, 639, 523, 3284, 1893, 543, 5888, 476, 1789, 23891, 4231, 267, 476, 1001, 274, 14920, 543, 4008, 281, 1018, 568, 519, 1198, 540, 15366, 3347, 593, 513, 269, 634, 5107, 540, 19052, 7819, 18971, 723, 22888, 543, 3347, 723, 1044, 540, 519, 5107, 602, 19052, 7819, 18971, 1404, 1369, 3885, 269, 31932, 519, 942, 547, 4283, 883, 1279, 3856, 3347, 267, 4008, 5107, 538, 741, 3885, 3932, 4008, 5107, 4008, 5107, 538, 7365, 543, 519, 1920, 563, 29638, 5107, 538, 519, 7819, 1920, 875, 519, 4008, 5107, 4268, 1369, 19052, 4008, 5107, 543, 6788, 568, 513, 2629, 3693, 538, 1920, 3347, 269, 17716, 3023, 1920, 1272, 713, 1557, 8385, 729, 543, 972, 568, 513, 2603, 4636, 609, 3023, 626, 1360, 12145, 4008, 5107, 267, 14054, 14868, 543, 4008, 269, 2060, 9038, 543, 8951, 1369, 513, 2016, 2021, 267, 2367, 267, 543, 519, 4657, 1909, 540, 4008, 538, 11776, 3347, 609, 1920, 543, 2828, 538, 269, 1703, 568, 513, 16795, 4687, 540, 4008, 5107, 1369, 519, 4687, 540, 4008, 5107, 1369, 519, 1920, 540, 4008, 16526, 538, 7008, 3347, 269, 13834, 8635, 1557, 676, 799, 616, 6161, 585, 519, 10103, 543, 4835, 543, 3929, 12602, 1369, 519, 1920, 6026, 547, 3398, 519, 4008, 268, 14337, 15523, 563, 23991, 4008, 5107, 1382, 1957, 5107, 568, 4105, 585, 782, 1346, 5461, 538, 519, 15257, 540, 1920, 543, 3347, 17161, 1920, 4008, 543, 1557, 269, 13834, 5107, 543, 519, 1920, 1557, 18949, 1082, 540, 519, 2093, 7282, 1920, 543, 741, 5107, 1369, 602, 519, 1920, 4008, 5107, 543, 3347, 269, 5274, 14920, 4008, 5107, 538, 4008, 5107, 538, 13314, 15257, 1557, 13561, 543, 2724, 20536, 540, 519, 1920, 1082, 3494, 602, 519, 1514, 4008, 7934, 269, 6468, 4008, 5107, 538, 2486, 1557, 4008, 5107, 1369, 513, 3673, 626, 2486, 789, 1265, 3106, 538, 3850, 519, 5256, 547, 20441, 519, 2078, 519, 22347, 1170, 633, 563, 29638, 5107, 616, 5094, 3270, 789, 3833, 25747, 6659, 3885, 543, 543, 11442, 18114, 267, 782, 540, 799, 948, 5965, 873, 547, 957, 1369, 2757, 5256, 4008, 269, 589, 3992, 1544, 689, 1272, 4058, 2069, 281, 513, 6107, 1646, 1982, 3483, 281, 547, 4983, 875, 4008, 5107, 1860, 3347, 2326, 281, 6205, 781, 4199, 267, 4008, 1909, 2013, 2090, 269, 4828, 4008, 5107, 1453, 1451, 689, 741, 1557, 270, 3410, 1957, 281, 4008, 5107, 1557, 543, 1453, 6367, 13054, 1152, 476, 1015, 2600, 540, 3885, 519, 1909, 269, 3367, 713, 1557, 593, 1210, 1570, 689, 6221, 543, 11992, 267, 2708, 519, 2070, 602, 4008, 5107, 543, 3347, 723, 3964, 1369, 519, 1920, 543, 519, 563, 29638, 5107, 543, 3347, 1369, 3885, 1557, 454, 32487, 1644, 547, 1920, 267, 7365, 267, 543, 4008, 5107, 538, 519, 4008, 1909, 7084, 1369, 519, 1920, 540, 2078, 568, 519, 3668, 540, 835, 2385, 1909, 269, 13834, 5107, 543, 3347, 1369, 3885, 1114, 1914, 5505, 723, 1185, 1114, 5784, 547, 2436, 17788, 531, 5107, 723, 1831, 3160, 563, 29638, 5107, 543, 3347, 723, 1831, 811, 3160, 538, 2413, 1920, 1272, 1557, 3732, 1753, 1557, 5439, 4008, 5107, 543, 3347, 723, 1831, 811, 3160, 538, 2413, 1920, 1272, 269, 23549, 896, 713, 1888, 3382, 1007, 1382, 593, 5256, 1922, 24580, 3347, 267, 4008, 6498, 540, 4074, 538, 3885, 1315, 4008, 1299, 14920, 1007, 5107, 538, 960, 543, 269, 9137, 827, 4008, 5107, 538, 1920, 543, 519, 2956, 540, 9301, 4008, 5107, 605, 330, 1968, 659, 558, 21189, 4930, 593, 1920, 543, 2078, 1851, 1920, 2818, 269, 13834, 1909, 7130, 949, 581, 2808, 676, 2021, 543, 4008, 5107, 15257, 1557, 543, 519, 2360, 540, 4008, 5107, 538, 6935, 547, 6689, 267, 1920, 1272, 269, 4317, 3123, 4008, 5107, 4965, 1072, 543, 4965, 543, 875, 789, 9305, 547, 4008, 5107, 1369, 513, 2757, 6498, 540, 5107, 538, 519, 1920, 563, 29638, 5107, 543, 3347, 1369, 3885, 1114, 1914, 5505, 723, 1185, 1114, 5784, 547, 2436, 17788, 531, 5107, 723, 1831, 3160, 3173, 723, 6027, 1114, 3344, 540, 269, 901, 1557, 593, 4008, 5107, 543, 11475, 729, 2854, 538, 8878, 540, 2021, 1451, 1946, 1082, 540, 519, 26608, 18727, 4978, 2486, 814, 827, 2021, 616, 7301, 269, 10017, 3584, 585, 707, 1382, 4574, 3347, 543, 519, 1920, 4008, 1369, 519, 1888, 540, 4008, 596, 666, 4008, 3961, 543, 4008, 5107, 538, 269, 10749, 1644, 547, 1920, 543, 4008, 476, 272, 2078, 7965, 609, 9905, 267, 1920, 2790, 519, 4008, 1909, 7084, 1369, 519, 1920, 12090, 689, 269, 4635, 1570, 689, 6221, 476, 273, 321, 543, 11992, 267, 2708, 519, 2070, 602, 4008, 5107, 543, 3347, 723, 1831, 811, 3160, 538, 2413, 1920, 1272, 476, 2190, 7436, 269, 6987, 847, 338, 689, 713, 3561, 4367, 4983, 519, 2070, 602, 4008, 5107, 543, 3347, 723, 1831, 811, 3160, 538, 2413, 1920, 1272, 538, 519, 1576, 540, 1686, 267, 2486, 814, 8810, 547, 269 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

[ 7585, 267, 7234, 4948, 3871, 543, 1818, 3664, 1759, 593, 1455, 2631, 269, 2422, 2241, 2474, 543, 513, 2067, 267, 2502, 3159, 269, 24372, 2521, 547, 281, 8528, 268, 19308, 2055, 543, 4267, 602, 12172, 519, 1888, 543, 1683, 4052, 1806, 543, 3137, 540, 1946, 1919, 4755, 267, 2014, 7146, 13716, 3347, 267, 543, 875, 1004, 3335, 2170, 538, 891, 3871, 269, 3097, 268, 20864, 7653, 602, 2154, 1620, 15749, 8100, 543, 13865, 10881, 547, 8207, 13509, 269, 3097, 2710, 711, 2446, 519, 1357, 1349, 543, 11716, 3877, 13061, 547, 519, 1888, 269, 0, 17138, 281, 1215, 547, 5192, 8837, 476, 278, 31597, 692, 20360, 3298, 476, 278, 31597, 568, 606, 5665, 1062, 2919, 676, 9786, 607, 851, 540, 922, 8837, 476, 278, 3126, 269, 898, 3091, 4359, 2934, 602, 8597, 547, 1312, 1753, 543, 1870, 3755, 7567, 269, 901, 3391, 786, 3802, 596, 998, 13844, 713, 4528, 540, 519, 3301, 1247, 3246, 9488, 3137, 543, 3730, 4388, 2059, 519, 1259, 269, 7490, 4063, 602, 11449, 610, 23842, 9758, 12215, 540, 8837, 476, 278, 31597, 5849, 6099, 2773, 267, 3354, 10311, 267, 543, 2930, 1489, 689, 9786, 780, 1262, 3721, 476, 272, 281, 14419, 2659, 8950, 781, 3281, 520, 2225, 12533, 6524, 16565, 8837, 476, 278, 31597, 267, 2638, 952, 707, 2780, 666, 2196, 621, 12347, 269, 16731, 519, 4013, 9786, 3896, 547, 1569, 741, 1863, 8837, 476, 278, 5455, 14079, 20180, 528, 1907, 269, 8281, 543, 3888, 519, 1982, 267, 1287, 11571, 707, 1062, 585, 1761, 2152, 269, 634, 25129, 786, 2697, 1022, 8800, 610, 3301, 3334, 602, 949, 991, 18175, 15665, 1354, 10380, 780, 1262, 3721, 476, 273, 281, 7994, 2659, 6396, 540, 21733, 9974, 12533, 2467, 616, 1079, 3119, 2409, 547, 3489, 8837, 476, 278, 31597, 910, 2168, 23861, 6718, 610, 3059, 4647, 269, 4825, 841, 8637, 4163, 4216, 539, 8747, 5627, 1587, 10569, 543, 10380, 25923, 282, 2705, 267, 8244, 1522, 581, 3908, 1813, 547, 2085, 269, 7913, 28085, 616, 4922, 3015, 3842, 2228, 2344, 17541, 899, 8835, 267, 3026, 933, 1375, 267, 610, 2047, 689, 9786, 630, 21671, 1247, 7727, 2063, 1040, 11408, 2327, 519, 29449, 2488, 16048, 543, 1875, 7721, 18944, 1587, 10569, 780, 1262, 3721, 476, 274, 281, 27619, 8837, 476, 278, 31597, 12533, 5629, 596, 723, 6074, 707, 9053, 11601, 1505, 267, 8399, 609, 519, 11834, 1739, 3044, 552, 19645, 5773, 269, 5901, 3950, 540, 2256, 328, 14186, 543, 1045, 7860, 2094, 789, 2270, 1898, 1344, 971, 607, 1931, 2338, 543, 7389, 269, 1452, 6054, 4196, 607, 6169, 540, 9562, 543, 948, 8207, 2104, 13882, 3823, 16306, 780, 1262, 3721, 476, 275, 281, 5136, 1555, 519, 8605, 6206, 12533, 26796, 3811, 12032, 540, 707, 6718, 267, 23074, 519, 2189, 1587, 1883, 3177, 2901, 9308, 610, 25274, 269, 1280, 10685, 12215, 267, 1265, 519, 476, 1839, 7302, 541, 1461, 21229, 534, 10179, 545, 3009, 9102, 593, 519, 3544, 540, 519, 4216, 610, 3330, 519, 11183, 7258, 519, 10380, 2923, 269, 1403, 12349, 25274, 267, 1413, 585, 4757, 539, 21533, 5627, 519, 1587, 1883, 610, 1569, 621, 998, 707, 2272, 593, 519, 22673, 781, 3896, 269, 16440, 713, 2629, 4062, 540, 1344, 18172, 22356, 543, 2057, 4687, 621, 15597, 547, 2061, 21568, 780, 1262, 3721, 476, 276, 281, 8281, 12305, 566, 9012, 12533, 2252, 596, 11751, 513, 3059, 5299, 267, 4647, 519, 18869, 3239, 3758, 7222, 547, 8837, 476, 278, 31597, 689, 519, 3095, 3177, 676, 519, 22673, 269, 2422, 11967, 2959, 1152, 547, 2057, 18453, 4220, 2404, 609, 19266, 730, 1543, 269, 1323, 18869, 3758, 568, 606, 3169, 18187, 320, 540, 513, 7131, 22230, 13748, 10710, 607, 835, 2582, 3758, 799, 2115, 10868, 1210, 7463, 2645, 899, 12736, 305, 2752, 267, 476, 278, 19053, 760, 267, 610, 5295, 3041, 302, 269, 17968, 267, 1711, 18849, 762, 18292, 11479, 1210, 681, 18860, 639, 610, 6167, 564, 321, 2393, 514, 780, 1262, 3721, 476, 277, 281, 8073, 7982, 5725, 12533, 29490, 19307, 1271, 1239, 1991, 547, 4358, 519, 10380, 1184, 269, 1133, 1150, 16308, 6381, 1223, 1291, 547, 23139, 32280, 610, 2530, 540, 6119, 1282, 14764, 269, 3958, 267, 2348, 1394, 5725, 6087, 4443, 6051, 2022, 2987, 560, 718, 566, 780, 1262, 3721, 476, 278, 281, 10670, 18610, 12305, 566, 12533, 27916, 691, 707, 7193, 543, 7696, 519, 23861, 610, 11690, 538, 519, 5423, 18292, 5397, 269, 645, 2393, 689, 519, 17332, 5420, 2356, 2944, 676, 10296, 674, 1015, 267, 674, 1321, 267, 18521, 267, 610, 5548, 4470, 2390, 10672, 5468, 269, 7427, 593, 31653, 12987, 2394, 8757, 519, 1412, 9743, 718, 3767, 262, 4781, 269, 8564, 11426, 630, 28723, 264, 3079, 540, 5455, 14079, 585, 15777, 10380, 14874, 3105, 13013, 24790, 269, 2353, 11229, 2556, 12210, 2230, 267, 3898, 15652, 4433, 1070, 543, 20006, 519, 4890, 3888, 618, 780, 1262, 3721, 476, 279, 281, 2920, 10675, 8837, 476, 278, 31597, 12533, 5475, 10380, 20147, 6707, 267, 19334, 8837, 476, 278, 31597, 1369, 476, 1789, 2395, 1210, 519, 5833, 1587, 1883, 269, 13782, 622, 3590, 16544, 3436, 2920, 10675, 8837, 1631, 269, 9373, 519, 1587, 1883, 950, 19430, 267, 4945, 8921, 267, 543, 2347, 11852, 3268, 269, 4762, 3305, 3811, 11852, 3842, 1402, 1575, 5048, 17548, 834, 20360, 3298, 568, 15181, 3010, 1103, 3932, 267, 3478, 8837, 476, 278, 31597, 3322, 1896, 2565, 5933, 8506, 6297, 3007, 543, 7041, 269, 1635, 20170, 14553, 547, 891, 13890, 3268, 267, 3755, 10018, 5347, 13289, 883, 9001, 713, 7347, 5665, 1062, 5356, 3875, 2640, 936, 4505, 23200, 269, 0, 2237, 513, 1279, 543, 1360, 2143, 5850, 593, 834, 7476, 8837, 476, 278, 31597, 257, 538, 519, 2511, 540, 14392, 269, 3417, 538, 3829, 3137, 585, 1142, 1900, 543, 875, 621, 2337, 3035, 519, 5551, 6364, 267, 1519, 1883, 4388, 543, 4808, 269, 3550, 9355, 543, 16566, 267, 3850, 3988, 547, 3362, 1246, 543, 4019, 519, 5528, 269, 1684, 711, 946, 2592, 269, 0, 5149, 7170, 281, 9147, 4457, 667, 2106, 770, 625, 281, 589, 18043, 5530, 540, 3624, 781, 8466, 4886, 998, 922, 11683, 661, 6652, 692, 16215, 4985, 281, 901, 1770, 786, 5490, 883, 519, 3638, 1686, 540, 3504, 3624, 676, 3695, 1896, 540, 922, 1034, 9565, 30552, 2880, 21971, 269, 3414, 713, 1353, 267, 1053, 786, 2744, 606, 7071, 585, 875, 891, 3982, 5712, 8032, 3624, 781, 2686, 267, 2797, 267, 543, 1514, 1646, 269, 5015, 267, 789, 786, 1174, 519, 9434, 1764, 540, 3504, 3624, 593, 4207, 2486, 543, 922, 11972, 10083, 538, 2221, 781, 2518, 2796, 780, 296, 269, 2473, 807, 19092, 630, 15132, 320, 476, 21709, 271, 1700, 8182, 271, 14514, 2567, 700, 11691, 519, 25043, 540, 31511, 454, 288, 269, 19372, 618, 540, 6683, 267, 12669, 21395, 267, 543, 4739, 2027, 3074, 454, 289, 269, 9622, 10885, 540, 21712, 7239, 267, 21438, 6608, 267, 543, 2854, 5638, 454, 290, 269, 19088, 1670, 8129, 543, 10859, 268, 5586, 754, 776, 4567, 538, 3140, 5931, 454, 291, 269, 16329, 1670, 2963, 5885, 519, 6228, 540, 519, 2473, 807, 19092, 454, 292, 269, 10313, 11143, 1063, 2038, 4457, 10340, 543, 824, 3504, 12977, 630, 324, 3052, 1421, 27859, 267, 5527, 267, 1473, 639, 9503, 994, 293, 269, 7073, 6286, 281, 1215, 1281, 938, 1620, 540, 3504, 3624, 3310, 11994, 540, 922, 4207, 4644, 888, 0, 2080, 568, 606, 1349, 689, 513, 2546, 912, 10454, 6764, 6372, 1763, 26443, 281, 634, 6936, 9452, 540, 606, 29055, 11848, 23874, 454, 257, 2304, 9058, 3020, 7045, 9661, 269, 1547, 1547, 1547, 4934, 9227, 15923, 1603, 602, 1862, 1224, 811, 454, 17413, 15618, 476, 1001, 273, 454, 17504, 4032, 476, 6078, 267, 3374, 280, 454, 268, 7956, 29203, 454, 268, 22858, 850, 5426, 281, 476, 14096, 271, 299, 454, 268, 11083, 5308, 7335, 5426, 281, 476, 279, 269, 273, 454, 268, 8121, 13658, 10606, 454, 268, 13658, 476, 14631, 276, 1724, 267, 476, 279, 8121, 18745, 454, 268, 3683, 7804, 633, 7913, 3883, 19672, 10812, 593, 10369, 2897, 454, 268, 13595, 10361, 902, 454, 268, 1234, 785, 17621, 734, 2704, 10939, 734, 14532, 734, 17315, 8736, 3332, 454, 268, 19565, 27140, 1923, 23874, 1299, 13491, 20445, 454, 268, 1733, 2718, 9635, 734, 16914, 6342, 734, 2704, 10939, 734, 289, 5535, 267, 8672, 734, 17315, 8736, 3332, 454, 268, 1733, 2718, 9635, 454, 268, 476, 866, 628, 2540, 454, 268, 4446, 992, 267, 8672, 630, 2704, 10939, 994, 268, 19565, 27140, 1923, 3778, 1923, 2136, 2276, 910, 476, 866, 628, 11416, 454, 268, 1733, 2718, 734, 2704, 10939, 734, 289, 5535, 267, 8672, 734, 14532, 734, 17315, 8736, 3332, 454, 268, 3683, 1633, 28057, 30609, 819, 630, 6245, 278, 268, 6245, 279, 264, 734, 17315, 8736, 3332, 454, 268, 4446, 992, 267, 8672, 630, 2704, 10939, 264, 734, 14532, 734, 866, 628, 2540, 734, 17315, 8736, 3332, 563, 268, 19565, 27140, 1923, 18815, 1923, 4425, 1846, 267, 590, 4721, 1299, 7201, 4248, 14958, 454, 268, 19594, 630, 306, 1222, 994, 268, 4446, 992, 267, 8672, 454, 268, 1763, 322, 1132, 734, 2704, 10939, 734, 14532, 734, 3010, 2237, 606, 3573, 543, 2143, 1576, 1770, 538, 513, 1837, 585, 2852, 1053, 1644, 547, 519, 1349, 1657, 267, 2519, 593, 834, 26123, 4457, 667, 2106, 770, 625, 257, 607, 851, 540, 834, 16300, 13493, 1315, 3778, 1315, 5607, 2668, 1684, 711, 1175, 1592, 2035, 267, 855, 1020, 1142, 835, 538, 1469, 1354, 3001, 547, 519, 1985, 267, 607, 649, 4225, 3178, 540, 1620, 543, 3102, 3408, 540, 519, 1641, 2339, 936, 4560, 780, 2521, 547, 1384, 268, 3550, 538, 3829, 3795, 540, 519, 2035, 563, 268, 2422, 513, 2239, 267, 2219, 4538, 2511, 563, 268, 4045, 519, 1888, 609, 1699, 3466, 267, 1483, 3734, 1806, 267, 610, 2487, 2090, 563, 2710, 711, 1331, 513, 2140, 267, 2606, 2453, 267, 610, 2592, 269, 3503, 519, 1543, 2047, 269, 0, 4495, 2390, 513, 942, 267, 538, 513, 1507, 4884, 3957, 24442, 6807, 267, 5030, 1079, 1655, 2828, 267, 6341, 13183, 320, 543, 25455, 269, 5637, 1185, 1175, 21783, 689, 1164, 1153, 543, 941, 11235, 547, 7832, 593, 1007, 9035, 269, 2755, 25455, 729, 1305, 593, 11836, 519, 13149, 17620, 267, 6341, 13183, 320, 849, 5433, 6537, 547, 4196, 1200, 2197, 855, 5185, 2189, 2591, 1813, 547, 1200, 4008, 780, 21579, 13183, 320, 281, 834, 296, 2731, 1616, 547, 6443, 519, 3057, 1149, 899, 596, 267, 25455, 267, 855, 594, 4862, 621, 781, 1454, 9875, 585, 2021, 3010, 297, 820, 281, 834, 6546, 781, 3020, 267, 6341, 269, 1809, 3314, 267, 3025, 8188, 2591, 269, 5213, 1405, 1577, 602, 3247, 596, 15323, 291, 17827, 711, 547, 1394, 1524, 3362, 267, 6341, 13183, 320, 3459, 11826, 2866, 7258, 25455, 547, 1628, 1200, 4222, 543, 26176, 2088, 269, 2701, 7691, 2038, 593, 602, 5870, 519, 1482, 2168, 4170, 607, 2367, 1131, 8197, 581, 4101, 269, 11048, 267, 1352, 7283, 32344, 538, 1200, 20440, 269, 8528, 3080, 1554, 267, 1310, 4374, 540, 7920, 23736, 267, 3213, 778, 9652, 14059, 873, 1282, 741, 15904, 8400, 780, 10870, 778, 9652, 281, 834, 2791, 1079, 616, 1818, 1390, 3356, 256, 5901, 11319, 707, 2383, 269, 5457, 267, 20408, 9465, 568, 851, 540, 1272, 267, 2436, 1934, 610, 538, 519, 3057, 1149, 3010, 12507, 2195, 5293, 267, 543, 1247, 25455, 30774, 12347, 998, 1010, 3498, 1184, 267, 6341, 13183, 320, 11402, 23665, 269, 4173, 3355, 3156, 3893, 15653, 7466, 1317, 1352, 7948, 1405, 2743, 519, 5021, 7485, 5346, 10421, 910, 1945, 1034, 9038, 1223, 3035, 24672, 269, 8061, 770, 730, 2943, 3768, 2678, 1042, 267, 1352, 8179, 948, 689, 25455, 543, 3213, 778, 9652, 780, 297, 820, 6700, 2519, 593, 4244, 5751, 547, 2087, 1200, 2949, 5580, 1560, 4222, 269, 2991, 6220, 1346, 2242, 883, 1200, 6296, 267, 6341, 13183, 320, 13986, 519, 7485, 13522, 2899, 1586, 269, 10251, 267, 5103, 1200, 29287, 3646, 267, 1352, 1869, 8593, 2110, 540, 519, 2838, 1297, 780, 11514, 24711, 2989, 267, 1352, 1476, 3660, 538, 25455, 827, 4743, 17204, 543, 20402, 952, 1352, 1500, 519, 1318, 3375, 269, 11576, 532, 1200, 11605, 267, 25455, 15527, 1489, 1947, 780, 297, 820, 281, 834, 21579, 267, 1967, 3884, 1405, 2141, 827, 8236, 1018, 1866, 2503, 269, 898, 781, 827, 3257, 707, 1655, 543, 9363, 8149, 269, 1411, 4312, 2907, 6273, 803, 543, 1866, 1472, 596, 676, 8840, 7496, 543, 32222, 547, 2285, 909, 3010, 300, 3437, 676, 25455, 781, 1913, 267, 6341, 4956, 547, 9029, 519, 3375, 3079, 540, 4758, 909, 269, 769, 1200, 9029, 4484, 267, 1352, 12006, 1200, 11428, 267, 5812, 6454, 267 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

[ 256, 2336, 825, 1250, 24092, 1242, 815, 1250, 13614, 11795, 2397, 6155, 643, 30044, 24092, 28319, 2747, 267, 7852, 815, 1412, 4900, 10807, 476, 1948, 1568, 589, 10498, 11974, 856, 4737, 1298, 878, 10691, 9587, 454, 825, 1948, 1250, 24092, 1242, 815, 1250, 13614, 11795, 2397, 6155, 643, 30044, 24092, 28319, 2747, 267, 7852, 815, 1412, 3712, 8435, 10807, 476, 1948, 1281, 10691, 960, 454, 825, 1820, 2891, 20598, 1125, 318, 4900, 910, 1250, 24092, 1242, 9847, 19515, 825, 1820, 30044, 24092, 1242, 994, 825, 1820, 2891, 15419, 825, 2132, 7183, 7531, 20598, 1125, 14116, 10232, 32470, 994, 20598, 1125, 318, 4900, 14116, 10232, 32470, 2020, 692, 0, 692, 12163, 20598, 11539, 9819, 11000, 4967, 454, 31596, 781, 11885, 14714, 323, 3890, 910, 9949, 568, 2551, 3044, 11539, 910, 834, 9536, 1993, 815, 476, 271, 257, 910, 782, 8464, 1634, 2551, 10691, 3732, 910, 29817, 1088, 781, 15494, 5508, 293, 3097, 335, 7701, 781, 5774, 320, 14714, 323, 3890, 910, 9949, 568, 3732, 672, 3044, 11539, 910, 834, 9536, 1993, 815, 476, 272, 257, 476, 29817, 1088, 781, 15494, 10396, 454, 1877, 649, 616, 1210, 476, 4578, 20988, 4019, 3890, 1599, 910, 649, 1616, 547, 957, 593, 661, 21815, 23333, 9331, 301, 454, 2254, 1210, 4578, 20988, 4019, 14090, 3890, 1599, 910, 13333, 593, 782, 9587, 454, 326, 603, 889, 834, 335, 663, 553, 910, 4578, 20988, 910, 10022, 910, 4994, 2012, 910, 1327, 267, 24924, 665, 910, 4019, 3890, 960, 593, 1142, 6241, 4840, 20701, 5814, 21795, 607, 19073, 692, 326, 10232, 32470, 815, 19073, 6185, 1092, 20988, 18692, 825, 1239, 28121, 262, 1410, 600, 272, 9166, 1496, 6246, 267, 476, 10037, 267, 476, 4281, 267, 476, 4037, 267, 476, 8660, 267, 476, 3583, 267, 476, 11011, 267, 476, 4792, 267, 476, 7176, 267, 476, 9262, 16689, 16875, 1412, 1410, 600, 273, 9166, 1496, 2190, 267, 476, 8287, 267, 476, 6321, 267, 476, 6321, 267, 476, 6858, 267, 476, 7906, 267, 476, 8064, 267, 476, 5379, 267, 476, 7761, 267, 476, 2568, 316, 348, 2676, 825, 4994, 284, 9131, 4517, 516, 3299, 1412, 289, 14019, 3299, 1412, 2419, 5142, 3299, 1412, 25405, 3299, 1412, 10387, 559, 1470, 3299, 3097, 19930, 1412, 293, 1042, 3299, 1412, 294, 516, 3279, 3299, 1412, 295, 3784, 339, 3299, 1412, 296, 7079, 3299, 1412, 22832, 23300, 2020, 258, 7827, 8771, 547, 6936, 585, 713, 3625, 540, 3009, 547, 1294, 1018, 621, 1281, 692, 258, 4578, 20988, 4019, 4590, 604, 8771, 912, 825, 1219, 6460, 14682, 10232, 318, 2017, 557, 263, 1410, 600, 14682, 10232, 2187, 1038, 1948, 17455, 553, 814, 513, 536, 738, 2987, 1599, 602, 786, 1685, 713, 9819, 454, 1038, 1948, 901, 786, 2285, 519, 5377, 476, 271, 260, 547, 476, 1015, 260, 540, 1053, 519, 3446, 1412, 293, 22779, 1038, 1948, 476, 1015, 260, 547, 476, 736, 260, 519, 3446, 1412, 291, 3299, 543, 865, 593, 269, 1411, 666, 1224, 811, 827, 454, 1038, 1948, 519, 7117, 12827, 3890, 1599, 1934, 912, 1038, 1948, 5291, 2517, 335, 663, 553, 4877, 11770, 1092, 3820, 9706, 663, 553, 1673, 665, 338, 23995, 762, 270, 10090, 730, 9706, 663, 553, 269, 336, 12827, 11258, 454, 1038, 2132, 19073, 269, 336, 12827, 263, 1410, 600, 14682, 10232, 2676, 4449, 11434, 1496, 271, 267, 476, 271, 269, 272, 267, 476, 271, 269, 273, 267, 476, 271, 269, 276, 267, 476, 271, 269, 279, 267, 476, 272, 16689, 4449, 11434, 10297, 284, 9131, 293, 3299, 1412, 291, 3299, 1412, 290, 3299, 1412, 289, 3299, 1412, 288, 262, 7481, 13872, 825, 1948, 7117, 12827, 3890, 13333, 593, 513, 1592, 267, 5044, 267, 610, 10022, 269, 901, 568, 519, 454, 825, 1948, 1267, 540, 4881, 519, 1599, 593, 513, 2582, 6241, 540, 519, 454, 825, 1948, 4578, 20988, 563, 825, 1948, 1820, 6460, 14682, 10232, 318, 2017, 557, 14116, 10232, 32470, 9131, 1410, 600, 272, 262, 7481, 825, 1820, 2891, 5602, 825, 1820, 2891, 935, 3200, 14682, 10232, 318, 2017, 557, 14116, 10232, 32470, 9131, 1410, 600, 272, 11172, 9847, 19515, 825, 1820, 263, 935, 3200, 14682, 10232, 318, 2017, 557, 14116, 10232, 32470, 9131, 1410, 600, 272, 11172, 4917, 825, 1820, 2891, 15419, 825, 1948, 7117, 12827, 3890, 1281, 711, 960, 593, 4578, 293, 29707, 267, 855, 649, 666, 946, 4019, 4590, 825, 1948, 547, 1289, 519, 1599, 593, 1142, 6241, 14384, 454, 825, 1948, 1820, 9344, 32470, 269, 1952, 569, 263, 935, 3200, 14682, 10232, 318, 2017, 557, 994, 825, 1820, 2891, 326, 10232, 32470, 269, 1952, 569, 263, 935, 3200, 14682, 10232, 318, 2017, 557, 264, 9847, 19515, 825, 1820, 14116, 10232, 32470, 269, 1952, 569, 263, 935, 3200, 14682, 10232, 318, 2017, 557, 11723, 8931, 3698, 3044, 1125, 29254, 2187, 825, 23288, 825, 19130, 538, 713, 1599, 547, 3044, 1125, 1142, 6241, 630, 30995, 1142, 6241, 1589, 4019, 3890, 10691, 4019, 14090, 3890, 30995, 994, 825, 540, 519, 2016, 4578, 20988, 269, 1677, 3044, 1125, 513, 4756, 267, 6460, 1142, 1871, 547, 519, 454, 825, 1297, 540, 3044, 24017, 621, 568, 1657, 610, 2630, 519, 1611, 563, 825, 23288, 8931, 825, 1948, 1820, 2891, 6943, 29254, 264, 910, 15079, 2668, 8971, 263, 6943, 29254, 21875, 825, 1948, 1826, 29254, 264, 910, 2999, 5035, 1412, 335, 663, 553, 6983, 648, 8807, 9347, 6185, 1092, 20988, 262, 11417, 8931, 825, 1820, 2891, 5602, 825, 1820, 2891, 4206, 9847, 19515, 825, 1820, 29254, 994, 825, 1820, 2891, 5602, 8931, 825, 1820, 2891, 4206, 32557, 3890, 9847, 19515, 825, 1820, 29254, 32557, 15405, 825, 1820, 2891, 5602, 8931, 825, 1820, 2891, 4206, 14714, 323, 3890, 9847, 19515, 825, 1820, 29254, 14714, 323, 15405, 825, 1820, 2891, 5602, 8931, 825, 1820, 2891, 4206, 28827, 9847, 19515, 825, 1820, 29254, 28827, 994, 825, 1820, 2891, 5602, 8931, 825, 1948, 17034, 5774, 320, 4578, 20988, 267, 10022, 267, 1327, 267, 4994, 2012, 3097, 825, 1820, 2891, 4206, 7456, 665, 9131, 289, 14019, 28710, 17093, 7456, 665, 9131, 289, 14019, 262, 6012, 271, 3910, 17093, 7456, 665, 9131, 289, 14019, 262, 6012, 272, 316, 5602, 825, 1820, 29254, 7456, 665, 9131, 289, 14019, 262, 7481, 825, 1948, 2745, 2891, 6943, 29254, 7456, 665, 9131, 289, 14019, 262, 8079, 910, 15079, 2668, 8971, 263, 6943, 29254, 7456, 665, 9131, 289, 14019, 11172, 21875, 825, 1948, 6943, 29254, 7456, 665, 9131, 289, 14019, 262, 8079, 910, 2999, 5035, 1412, 335, 663, 553, 6983, 648, 4732, 7685, 2529, 7685, 262, 11417, 825, 1820, 29254, 7456, 665, 9131, 289, 14019, 262, 6012, 271, 7481, 825, 1820, 29254, 7456, 665, 9131, 289, 14019, 262, 6012, 272, 7481, 825, 1820, 2891, 5602, 8931, 825, 1948, 17034, 5774, 320, 4578, 20988, 267, 10022, 267, 24924, 665, 267, 4994, 1297, 22322, 825, 1820, 2891, 4206, 269, 559, 665, 314, 271, 316, 9847, 19515, 825, 1820, 29254, 269, 559, 665, 314, 271, 7481, 825, 1820, 2891, 15419, 8931, 825, 8173, 825, 3044, 11539, 9819, 11000, 4967, 454, 825, 11885, 781, 11885, 14714, 323, 3890, 910, 9949, 568, 2551, 3044, 11539, 910, 834, 9536, 1993, 815, 476, 271, 257, 910, 782, 8464, 1634, 2551, 10691, 3732, 910, 29817, 1088, 781, 15494, 5508, 293, 3097, 825, 5774, 320, 781, 5774, 320, 14714, 323, 3890, 910, 9949, 568, 3732, 672, 3044, 11539, 910, 834, 9536, 1993, 815, 476, 272, 257, 476, 29817, 1088, 781, 15494, 10396, 454, 825, 1934, 649, 616, 1210, 476, 4578, 20988, 4019, 3890, 1599, 910, 649, 1616, 547, 957, 593, 661, 21815, 23333, 9331, 301, 454, 825, 711, 1210, 4578, 20988, 4019, 14090, 3890, 1599, 910, 13333, 593, 782, 9587, 454, 825, 29185, 825, 1948, 21795, 910, 9949, 546, 323, 1993, 284, 272, 3732, 711, 2551, 910, 1934, 649, 723, 519, 3003, 2551, 865, 910, 546, 323, 1993, 284, 271, 3097, 825, 13387, 10574, 20988, 815, 630, 4206, 910, 17093, 32557, 28829, 1315, 17093, 14714, 323, 5560, 323, 1993, 284, 271, 994, 825, 1820, 2891, 20598, 1242, 10574, 20988, 9847, 19515, 825, 1820, 263, 20598, 1242, 10574, 20988, 994, 825, 1820, 2891, 5602, 8931, 13872, 825, 2132, 7183, 692, 3698, 3044, 1125, 272, 29254, 2187, 825, 23288, 825, 19130, 538, 713, 1599, 547, 3044, 1125, 1142, 6241, 630, 30995, 1142, 6241, 1589, 4019, 3890, 10691, 4019, 14090, 3890, 30995, 994, 825, 540, 519, 2016, 4578, 20988, 269, 1677, 3044, 1125, 513, 4756, 267, 6460, 1142, 1871, 547, 519, 454, 825, 1297, 540, 3044, 24017, 621, 568, 1657, 610, 2630, 519, 1611, 563, 825, 23288, 825, 1948, 1820, 2891, 6943, 29254, 264, 910, 15079, 2668, 8971, 263, 6943, 29254, 21875, 825, 1948, 1826, 29254, 264, 910, 2999, 5035, 1412, 335, 663, 553, 6983, 648, 8807, 9347, 6185, 1092, 20988, 262, 11417, 8931, 825, 8173, 825, 3044, 11539, 9819, 11000, 4967, 454, 825, 11885, 781, 11885, 14714, 323, 3890, 910, 9949, 568, 2551, 3044, 11539, 910, 834, 9536, 1993, 815, 476, 271, 257, 910, 782, 8464, 1634, 2551, 10691, 3732, 910, 29817, 1088, 781, 15494, 5508, 293, 3097, 825, 5774, 320, 781, 5774, 320, 14714, 323, 3890, 910, 9949, 568, 3732, 672, 3044, 11539, 910, 834, 9536, 1993, 815, 476, 272, 257, 476, 29817, 1088, 781, 15494, 10396, 454, 825, 1934, 649, 616, 1210, 476, 4578, 20988, 4019, 3890, 1599, 910, 649, 1616, 547, 957, 593, 661, 21815, 23333, 9331, 301, 454, 825, 711, 1210, 4578, 20988, 4019, 14090, 3890, 1599, 910, 13333, 593, 782, 9587, 454, 825, 29185, 825, 1948, 21795, 910, 9949, 546, 323, 1993, 284, 272, 3732, 711, 2551, 910, 1934, 649, 723, 519, 3003, 2551, 865, 910, 546, 323, 1993, 284, 271, 3097, 825, 13387, 10574, 20988, 815, 630, 4206, 910, 17093, 32557, 28829, 1315, 17093, 14714, 323, 5560, 323, 1993, 284, 271, 994, 825, 1820, 2891, 20598, 1242, 10574, 20988, 9847, 19515, 825, 1820, 263, 20598, 1242, 10574, 20988, 994, 825, 1820, 2891, 5602, 8931, 13872, 825, 2132, 7183, 692, 258, 3044, 1125, 14116, 10232, 32470, 994, 2745, 2891, 9340, 9340, 9340, 9340, 9340, 1556, 326, 10232, 32470, 269, 1952, 569, 263, 20598, 1125, 272, 264, 9847, 19515, 2745, 14116, 10232, 32470, 269, 1952, 569, 263, 20598, 1125, 272, 4917, 2745, 2891, 19442, 19442, 19442, 19442, 19442, 15419, 326, 10232, 32470, 269, 1952, 569, 263, 20598, 1125, 272, 994, 2745, 2891, 18357, 18357, 18357, 18357, 3451, 326, 10232, 32470, 269, 1952, 569, 263, 20598, 1125, 272, 264, 9847, 19515, 258, 1820, 14116, 10232, 32470, 269, 1952, 569, 263, 20598, 1125, 272, 4917, 2745, 2891, 29900, 29900, 29900, 29900, 5602, 672, 692, 2745, 2891, 5602, 343, 815, 476, 276, 454, 2745, 2891, 343, 910, 15079, 2668, 8971, 3287, 4917, 2745, 2891, 6943, 3287, 264, 910, 15079, 2668, 8971, 263, 6943, 3287, 21875, 2745, 2891, 5602, 0, 454, 5814, 21795, 607, 19073, 692, 258, 4019, 1547, 1952, 569, 513, 1599, 547, 513, 19073, 5774, 320, 3126, 8528, 258, 7827, 8771, 547, 6936, 547, 1294, 1018, 519, 1739, 3625, 540, 3009, 1281, 692, 258, 7151, 21795, 4019, 3890, 6165, 630, 24392, 713, 1223, 723, 1044, 2944, 454, 258, 1510, 4019, 3890, 1210, 6152, 1242, 4238, 994, 604, 6936, 912, 825, 521, 815, 19073, 2529, 7685, 8443, 272, 267, 476, 273, 267, 476, 274, 267, 476, 275, 267, 476, 276, 7481, 8931, 825, 1219, 1039, 318, 821, 3287, 2187, 1038, 2132, 1535, 1341, 476, 272, 22562, 825, 1820, 9497, 338, 269, 1952, 569, 263, 5417, 318, 821, 264, 9847, 5602, 825, 1820, 630, 338, 269, 1952, 569, 263, 5417, 318, 821, 4917, 8931, 2745, 2891, 15419, 12849, 815, 19073, 2529, 7685, 8443, 454, 825, 1412, 4517, 516, 3397, 817, 328, 22779, 825, 1412, 289, 14019, 645, 4637, 22779, 825, 1412, 13731, 9372, 19090, 22779, 825, 1412, 25405, 1408, 4347, 4141, 22779, 825, 1412, 10387, 559, 1470, 661, 4614, 557, 345, 22779, 825, 1412, 293, 1042, 4469, 842, 7723, 22779, 825, 1412, 294, 516, 3279, 12275, 2692, 22779, 825, 1412, 295, 3784, 339, 670, 3784, 339, 22779, 825, 1412, 296, 7079, 594, 569, 577, 22779, 825, 1412, 22832, 20717, 576, 22779, 825, 1412, 11390, 4275, 26427, 2917, 22779, 825, 1412, 299, 12251, 28818, 22779, 825, 1412, 300, 833, 3733, 619, 22779, 825, 1412, 301, 1157, 715, 565, 974, 22779, 825, 1412, 302, 21424, 14642, 20860, 22779, 825, 1412, 303, 32631, 20266, 27591, 22779, 825, 1412, 5226, 597, 19434, 2372, 597, 22641, 22779, 825, 1412, 305, 778, 6130, 14105, 22779, 825, 1412, 306, 639, 534, 7203, 9646, 22779, 825, 1412, 307, 2088, 25306, 22779, 825, 1412, 308, 7666, 996, 7984, 321, 2088, 22779, 825, 1412, 309, 1550, 966, 2795, 333, 22779, 825 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

[ 540, 3023, 10391, 3270, 540, 2937, 2623, 12346, 593, 4638, 15285, 540, 519, 2634, 1472, 519, 942, 540, 4332, 267, 25358, 676, 1449, 7781, 10399, 538, 9038, 1107, 543, 3668, 23476, 538, 8951, 269, 2755, 621, 729, 8385, 5156, 602, 16891, 611, 531, 10399, 1404, 513, 17033, 1437, 1049, 1909, 693, 23648, 267, 2090, 538, 519, 2038, 476, 2641, 560, 2540, 1683, 1806, 1141, 519, 12557, 543, 3448, 2157, 540, 16891, 611, 531, 10399, 11851, 1279, 18835, 267, 610, 10721, 2360, 593, 2634, 543, 2623, 269, 769, 713, 1259, 267, 15730, 4598, 547, 16891, 611, 531, 10399, 666, 32427, 622, 2634, 543, 1560, 2242, 538, 796, 2581, 543, 538, 930, 2665, 19820, 875, 519, 2634, 20781, 547, 16891, 611, 531, 10399, 538, 15296, 269, 25408, 267, 1082, 540, 519, 2360, 540, 23648, 593, 2623, 949, 2049, 18549, 676, 19249, 8417, 547, 2825, 2621, 543, 606, 11248, 779, 2702, 547, 4431, 547, 610, 1451, 689, 1995, 269, 1452, 4030, 689, 519, 3662, 3332, 1683, 513, 5943, 585, 1620, 875, 23648, 949, 3310, 519, 30553, 540, 1950, 5615, 543, 12189, 1981, 610, 6043, 547, 2790, 1072, 4713, 1282, 1480, 18273, 269, 769, 2040, 267, 23648, 25998, 609, 11976, 267, 2038, 1272, 10721, 2360, 540, 16891, 611, 531, 10399, 267, 1995, 267, 543, 1565, 3157, 547, 3337, 2623, 538, 15296, 563, 21196, 3534, 700, 269, 589, 591, 8636, 267, 31929, 590, 269, 24125, 2426, 267, 543, 14732, 2098, 269, 32298, 454, 763, 1110, 17419, 3310, 540, 3023, 10399, 593, 8650, 1928, 267, 5312, 1928, 4713, 267, 543, 1928, 2359, 814, 1044, 4080, 585, 936, 5722, 5756, 269, 634, 1198, 540, 10399, 593, 1928, 568, 5693, 23576, 676, 519, 21318, 540, 5312, 1928, 4713, 602, 616, 811, 1455, 538, 2021, 267, 971, 607, 15677, 543, 26043, 267, 9389, 558, 663, 24212, 4745, 4524, 267, 8886, 762, 15108, 6794, 267, 5312, 23856, 1928, 267, 4017, 668, 9234, 22468, 267, 27131, 12263, 267, 543, 30169, 269, 11153, 540, 891, 1928, 4713, 849, 11385, 622, 538, 1928, 8515, 936, 519, 18492, 4783, 267, 1519, 15677, 543, 26043, 543, 9389, 558, 663, 24212, 4745, 4524, 269, 634, 3023, 32104, 10399, 630, 652, 4088, 267, 1322, 6856, 821, 267, 543, 19697, 264, 607, 1134, 607, 930, 26733, 10399, 630, 335, 1503, 716, 514, 267, 3404, 12682, 665, 514, 267, 543, 21729, 641, 816, 514, 264, 723, 1044, 5532, 547, 1928, 676, 1312, 4791, 543, 840, 30570, 1382, 269, 1160, 2471, 614, 821, 543, 19697, 616, 4922, 7608, 607, 2348, 8825, 2360, 1996, 1928, 267, 1247, 519, 3332, 593, 21110, 5359, 1312, 12615, 566, 543, 22887, 6672, 540, 1928, 269, 1160, 331, 716, 514, 568, 4080, 547, 9594, 1928, 267, 1247, 3404, 12682, 665, 514, 543, 21729, 641, 816, 514, 723, 1387, 2471, 545, 3601, 538, 1312, 28486, 269, 8307, 538, 519, 2063, 1079, 5756, 723, 5778, 27023, 1235, 13175, 547, 19586, 519, 1950, 26715, 543, 7636, 6127, 5817, 519, 1463, 2360, 540, 3023, 10399, 543, 6127, 723, 1044, 4080, 538, 1312, 519, 3844, 543, 15672, 8401, 1949, 269, 31469, 1331, 2047, 610, 18549, 13389, 13364, 543, 9357, 9055, 593, 10444, 11409, 267, 1437, 908, 1928, 2300, 527, 2218, 610, 1928, 7409, 7480, 7740, 538, 519, 2634, 267, 543, 4227, 12982, 18657, 2209, 269, 6736, 2487, 3356, 267, 972, 3788, 1713, 15784, 543, 2591, 538, 519, 2361, 543, 519, 9583, 5418, 3999, 22241, 1909, 21110, 4249, 593, 1928, 3788, 24813, 269, 7351, 1702, 540, 519, 2360, 540, 3023, 10399, 593, 1928, 814, 3366, 547, 519, 24567, 540, 4008, 2861, 4915, 267, 543, 11543, 2417, 5813, 786, 1291, 547, 1454, 2877, 6454, 538, 1928, 2359, 538, 2021, 563, 24171, 674, 269, 4223, 515, 329, 322, 5414, 330, 543, 4569, 5362, 674, 269, 654, 1716, 564, 454, 18128, 1828, 814, 3812, 5318, 24466, 543, 8965, 4763, 10838, 7786, 267, 1519, 1360, 3811, 14624, 547, 513, 3309, 2039, 540, 8733, 12137, 1127, 17364, 519, 12289, 540, 519, 6607, 676, 10760, 7786, 267, 519, 17875, 1782, 6197, 593, 630, 528, 2630, 264, 519, 3618, 267, 543, 519, 630, 9895, 328, 268, 264, 320, 638, 1738, 1272, 593, 630, 528, 2630, 264, 519, 1216, 2627, 269, 15043, 519, 2702, 547, 1349, 513, 31062, 2179, 540, 3730, 1344, 689, 741, 1604, 729, 2629, 585, 4180, 519, 6668, 540, 1082, 5521, 2249, 269, 19484, 7786, 7048, 8185, 593, 513, 4999, 540, 1114, 3308, 543, 1875, 23724, 783, 10291, 547, 28761, 7259, 896, 513, 2647, 8552, 540, 2825, 2175, 1247, 9319, 11975, 269, 634, 4806, 540, 31085, 8701, 1242, 1236, 2643, 697, 602, 2164, 689, 22502, 540, 7943, 538, 519, 5790, 568, 835, 1271, 4044, 1049, 29692, 602, 1082, 7786, 666, 3713, 269, 3371, 649, 17412, 3356, 1500, 4724, 1620, 875, 1114, 5521, 2249, 2631, 8701, 1242, 1769, 269, 3689, 267, 649, 1459, 8965, 2090, 609, 968, 25152, 892, 5521, 4044, 2209, 630, 25218, 268, 2897, 585, 6162, 267, 899, 9932, 32048, 610, 9390, 17605, 1070, 607, 1134, 607, 7786, 602, 7048, 593, 8701, 1242, 1769, 547, 2087, 811, 968, 21353, 545, 892, 10066, 1983, 630, 3697, 546, 2426, 22404, 1040, 5822, 267, 649, 1683, 606, 7650, 936, 519, 26715, 4493, 540, 519, 8701, 1242, 1769, 7020, 1062, 602, 891, 7786, 946, 267, 607, 1134, 607, 519, 5817, 8849, 5547, 787, 269, 12059, 267, 649, 11168, 519, 2956, 540, 12214, 2090, 630, 19491, 5268, 903, 5735, 267, 607, 1134, 607, 16220, 23876, 2534, 10832, 267, 538, 667, 4592, 32166, 264, 585, 1620, 1312, 519, 2497, 543, 1599, 540, 8701, 1242, 1769, 5547, 787, 538, 519, 5521, 2634, 269, 1284, 849, 1865, 519, 2956, 540, 606, 4244, 2707, 540, 8701, 1242, 1769, 602, 666, 581, 9571, 676, 1082, 7786, 281, 31085, 8701, 1242, 1769, 10630, 1055, 21743, 7252, 899, 1216, 4564, 606, 1271, 2825, 3815, 267, 2943, 519, 14169, 543, 17550, 540, 5817, 11387, 2611, 18106, 569, 6956, 563, 300, 7752, 342, 670, 269, 27213, 267, 7812, 320, 590, 9950, 269, 10753, 1111, 267, 667, 9222, 8805, 698, 1676, 267, 543, 681, 11047, 639, 590, 269, 22642, 523, 454, 2662, 7416, 619, 630, 341, 2320, 1170, 2801, 264, 616, 7986, 593, 519, 2879, 719, 540, 1082, 11864, 267, 1312, 18714, 543, 12748, 269, 634, 10747, 4183, 540, 31953, 619, 568, 602, 789, 616, 12082, 538, 1804, 32235, 609, 10053, 10444, 7961, 3569, 267, 11303, 676, 14859, 18133, 11057, 1973, 5609, 4926, 269, 2368, 2249, 267, 1519, 14148, 543, 8983, 267, 723, 14969, 16757, 1852, 540, 741, 31953, 619, 543, 2263, 741, 1604, 676, 1818, 24754, 1394, 7146, 16519, 628, 968, 3369, 529, 6362, 892, 5322, 269, 1733, 529, 6362, 5322, 616, 3483, 2685, 1110, 4327, 2687, 547, 1808, 8965, 3853, 12462, 5562, 15392, 26158, 634, 2596, 22090, 6362, 11733, 568, 6417, 676, 513, 6566, 19318, 1950, 538, 519, 13591, 1427, 7781, 5250, 563, 27650, 31953, 518, 11409, 630, 303, 310, 28213, 1070, 609, 1591, 4703, 538, 519, 4645, 655, 1400, 14228, 331, 542, 267, 7961, 969, 622, 1896, 5049, 540, 2964, 648, 21082, 8229, 30804, 538, 519, 31953, 518, 21155, 548, 269, 11115, 582, 4920, 9134, 5473, 26629, 15605, 273, 9357, 9055, 20964, 519, 4909, 2168, 6786, 602, 519, 31953, 619, 5968, 547, 519, 2634, 269, 623, 310, 301, 26389, 616, 15427, 676, 7344, 4229, 2404, 609, 1312, 519, 22090, 6362, 5163, 3294, 543, 31953, 518, 268, 15953, 3346, 269, 1733, 529, 6362, 568, 2404, 609, 16931, 658, 543, 4887, 19432, 4229, 602, 5397, 623, 310, 301, 2534, 269, 1733, 7416, 518, 268, 15953, 3346, 3123, 31953, 619, 547, 18846, 267, 543, 623, 310, 301, 2534, 568, 9141, 5097, 676, 519, 2404, 4232, 2218, 3196, 12462, 321, 2056, 4090, 892, 1916, 306, 29022, 6786, 689, 519, 623, 310, 28213, 616, 3535, 539, 547, 1082, 2694, 540, 519, 12042, 28090, 267, 4571, 28090, 267, 543, 2062, 28090, 269, 23155, 26799, 11444, 10141, 1344, 827, 31953, 518, 4229, 547, 9300, 574, 19318, 16794, 269, 2311, 1142, 2634, 980, 267, 555, 15401, 545, 267, 543, 9729, 673, 1377, 540, 891, 11444, 267, 972, 616, 835, 610, 811, 7851, 540, 519, 31953, 518, 5044, 267, 9967, 540, 1591, 13421, 12462, 8663, 14843, 892, 538, 519, 3119, 1474, 520, 657, 29022, 16794, 264, 4171, 8901, 11460, 10502, 19141, 602, 540, 519, 31953, 619, 593, 519, 2879, 719, 269, 1717, 267, 519, 2949, 6189, 540, 519, 31953, 518, 268, 22529, 633, 4525, 540, 519, 2634, 1062, 568, 1655, 6353, 676, 1617, 850, 767, 10444, 2173, 19318, 5955, 17787, 269, 4706, 10578, 7350, 267, 538, 4999, 609, 25368, 3601, 607, 513, 2203, 10444, 1062, 267, 814, 1500, 519, 31953, 518, 1062, 519, 3760, 585, 25761, 4030, 883, 2634, 1599, 563, 306, 629, 571, 700, 269, 21890, 514, 543, 10496, 14979, 631, 269, 5576, 8705, 345, 454, 29189, 568, 513, 6211, 4756, 602, 5540, 4761, 6114, 547, 1312, 1582, 543, 4914, 26898, 630, 324, 3052, 1421, 15451, 5563, 264, 538, 519, 3844, 8401, 1062, 630, 290, 10064, 264, 607, 1134, 607, 538, 15672, 8219, 269, 634, 3023, 540, 606, 1367, 568, 3989, 676, 519, 11186, 8990, 540, 519, 3023, 15954, 267, 519, 3919, 540, 519, 10285, 8219, 267, 543, 519, 7766, 3023, 32104, 9449, 2157, 538, 9038, 543, 8951, 269, 11557, 568, 3982, 689, 4008, 267, 799, 2882, 1582, 268, 1211, 2305, 607, 1373, 513, 5256, 610, 4775, 607, 1134, 607, 5615, 543, 2238, 602, 616, 5462, 676, 2486, 610, 2528, 538, 3425, 269, 22503, 543, 4775, 3604, 538, 6375, 1670, 6114, 949, 581, 6766, 676, 1312, 3023, 543, 4008, 267, 609, 3023, 7700, 547, 519, 12214, 543, 26715, 3604, 602, 3310, 4598, 267, 6284, 267, 24999, 267, 543, 1256, 6771, 540, 17973, 538, 9038, 543, 8951, 269, 1635, 4334, 267, 4008, 949, 2992, 5615, 602, 3310, 4598, 547, 17973, 267, 1569, 547, 1072, 1416, 267, 610, 1072, 5498, 22701, 5615, 602, 18549, 1860, 519, 1576, 540, 3968, 538, 9038, 543, 8951, 269, 9282, 1312, 3023, 543, 4008, 3310, 519, 4761, 3210, 267, 519, 1445, 540, 713, 2376, 568, 519, 6211, 2188, 602, 3310, 6375, 1670, 3604, 1063, 519, 28486, 538, 1312, 519, 595, 10064, 543, 15672, 8031, 547, 7369, 519, 1576, 540, 3676, 2066, 519, 1272, 12732, 563, 8139, 540, 519, 2634, 6127, 15725, 10285, 5615, 538, 4775, 8047, 2831, 814, 1044, 29211, 7494, 676, 938, 1702, 540, 21110, 13364, 538, 519, 2634, 269, 14523, 1054, 15401, 545, 11409, 602, 2769, 519, 5444, 585, 21110, 13805, 268, 10401, 10038, 2534, 538, 519, 8849, 5547, 585, 519, 14724, 4775, 10285, 3210, 267, 18459, 2670, 2623, 269, 769, 2490, 267, 1082, 540, 519, 32239, 11378, 547, 519, 2565, 20968, 15401, 545, 11409, 723, 1044, 6594, 1210, 32661, 903, 8344, 543, 5778, 23755, 2553, 269, 634, 909, 3333, 582, 540, 782, 540, 891, 2090, 568, 602, 18459, 2670, 2623, 6799, 519, 1655, 6956, 1305, 540, 6127, 585, 1022, 27899, 2623, 563, 297, 659, 13196, 645, 953, 1794, 691, 543, 27068, 674, 269, 11831, 454, 2005, 568, 1134, 3964, 602, 19697, 689, 1449, 7781, 5169, 4249, 513, 2565, 1909, 538, 519, 11852, 540, 5256, 4638, 2623, 538, 1034, 267, 952, 711, 782, 267, 9451, 24260, 2249, 269, 1452, 2360, 1491, 1747, 547, 513, 1804, 6708, 538, 519, 840, 641, 6776, 1858, 4352, 824, 2634, 4609, 616, 15069, 849, 26582, 269, 769, 922, 3077, 2127, 267, 19697, 568, 8362, 8311, 1242, 2901, 883, 21110, 545, 543, 543, 4088, 545, 28335, 602, 723, 1808, 8965, 2360, 610, 883, 29680, 31571, 269, 1452, 14759, 2901, 24244, 519, 8965, 2534, 540, 19697, 610, 267, 4244, 569, 267, 10307, 547, 606, 29680, 7623, 26632, 919, 1022, 6211, 1198, 269, 1656, 5766, 839, 543, 1609, 5766, 839, 1287, 12622, 547, 6046, 13364, 602, 1110, 3634, 519, 16606, 540, 1808, 6090, 269, 901, 1184, 568, 6417, 676, 513, 3099, 540, 1071, 19840, 643, 2209, 543, 1071, 3146, 12304, 832, 602, 267, 6606, 267, 3986, 610, 21391, 891, 13973, 1308, 3157, 269, 769, 1840, 267, 2487, 960, 814, 3254, 602, 519, 2504, 540, 1609, 5766, 839, 676, 2634, 12906, 520, 848, 666, 581, 1110, 4327, 1369, 3764, 676, 2242, 538, 8849, 2534, 543, 602, 891, 4028, 2242, 538, 5778, 652, 4088, 2504, 1764, 4638, 2623, 267, 538, 1880, 4638, 8404, 1369, 519, 1482, 942, 7406, 269, 6480, 5766, 839, 3976, 1860, 1808, 3344, 540, 5256, 4638, 2623, 538, 1079, 1114, 942, 14604, 3842, 1079, 2010, 540, 6127, 602, 616, 4625, 1114, 269, 13038, 2055, 2611, 1930, 7282, 519, 10408, 2634, 6127, 602, 1199, 5573, 19697, 2962, 593, 5256, 4638, 2623, 563, 31800, 517, 329, 5622, 962 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

[ 602, 519, 2278, 5185, 269, 3097, 268, 14506, 543, 5813, 281, 1439, 609, 513, 6571, 602, 3091, 513, 1007, 1620, 267, 513, 2631, 540, 2146, 267, 610, 513, 2123, 13414, 267, 1454, 899, 519, 8753, 6537, 538, 8468, 5717, 563, 9359, 519, 1650, 1318, 2476, 269, 1684, 711, 1376, 609, 5220, 899, 476, 834, 5629, 2390, 513, 942, 257, 607, 713, 568, 513, 14703, 2022, 543, 711, 513, 3209, 267, 596, 1058, 849, 2057, 4358, 609, 5929, 5220, 899, 834, 288, 1906, 1296, 3516, 257, 610, 834, 288, 1906, 1296, 1394, 2580, 581, 3860, 269, 0, 2878, 16215, 476, 277, 281, 19871, 7177, 538, 16522, 4854, 10334, 4373, 265, 7072, 22177, 5331, 1373, 2111, 547, 11653, 5946, 602, 666, 4196, 607, 3810, 6213, 543, 1808, 19777, 839, 832, 5827, 540, 16326, 2825, 14107, 267, 2068, 31036, 267, 610, 1256, 2860, 2281, 1369, 3764, 910, 782, 1510, 8506, 7199, 8047, 3937, 269, 901, 12316, 1523, 6013, 693, 519, 2295, 540, 10991, 7350, 267, 1141, 6211, 1949, 616, 2699, 525, 11220, 543, 20979, 585, 3209, 3252, 998, 4719, 12381, 269, 769, 713, 1770, 267, 649, 786, 5490, 883, 519, 4241, 1158, 540, 3940, 4702, 267, 4481, 3695, 922, 1909, 538, 3384, 5969, 12967, 19777, 16428, 4066, 269, 1284, 3513, 2253, 676, 7234, 4909, 3741, 5817, 3940, 2497, 543, 1599, 267, 4553, 676, 606, 6514, 540, 1585, 2994, 6964, 538, 3940, 1374, 543, 11938, 269, 7053, 267, 649, 786, 2263, 875, 891, 2553, 723, 1044, 4294, 547, 1711, 9190, 19777, 839, 832, 585, 4028, 7020, 540, 1216, 17694, 267, 3246, 513, 8903, 1383, 540, 3940, 4702, 781, 13710, 1761, 780, 1262, 4089, 476, 272, 281, 4197, 19871, 12856, 1299, 9577, 4373, 2414, 3927, 11653, 5946, 267, 621, 568, 1898, 1101, 547, 1174, 741, 7293, 3919, 543, 6198, 3601, 269, 2311, 519, 1034, 2596, 1377, 267, 5946, 2874, 540, 11254, 3679, 11800, 1634, 607, 1135, 4286, 696, 1938, 799, 16784, 883, 1950, 1614, 8820, 3889, 5462, 676, 741, 2189, 9696, 269, 1452, 3889, 5512, 5946, 547, 1685, 3309, 5107, 8151, 689, 679, 9195, 1738, 3032, 4519, 547, 7636, 6284, 2621, 2565, 585, 15202, 11444, 269, 6206, 3344, 540, 3940, 6189, 1331, 3119, 630, 3133, 334, 3679, 5311, 1070, 6281, 630, 10382, 13463, 997, 525, 267, 16061, 1606, 19298, 1070, 24596, 630, 22764, 8820, 3337, 1070, 543, 844, 15715, 776, 630, 20123, 2118, 1016, 28493, 264, 3889, 269, 1635, 22392, 891, 2934, 267, 3744, 666, 7369, 3940, 2623, 543, 20688, 873, 585, 5551, 3156, 780, 1262, 4089, 476, 273, 281, 11150, 585, 19871, 5071, 1299, 26659, 4373, 10521, 1292, 4485, 20441, 4207, 3940, 4702, 16097, 281, 7787, 1374, 543, 9859, 4720, 269, 21929, 1374, 3322, 1818, 6098, 2242, 547, 513, 3940, 781, 5311, 1759, 593, 1702, 540, 922, 2497, 543, 7271, 267, 1247, 9859, 4720, 13147, 923, 2067, 5542, 3157, 676, 10451, 1804, 8021, 540, 30354, 5946, 543, 8939, 1346, 609, 4824, 4162, 269, 589, 10316, 1935, 9256, 1312, 2409, 1419, 11729, 6099, 2164, 1813, 547, 5348, 1120, 2065, 2640, 6508, 689, 10128, 12985, 11236, 543, 8097, 9584, 269, 11153, 2645, 543, 2553, 4122, 1031, 538, 3940, 4702, 1331, 3135, 30928, 4573, 10402, 8412, 267, 6389, 2220, 6260, 267, 5399, 4070, 267, 943, 720, 4159, 267, 13803, 2627, 4159, 267, 1164, 28443, 1584, 9584, 29508, 267, 543, 1985, 22831, 15971, 780, 1262, 4089, 476, 274, 281, 645, 17424, 645, 3930, 839, 832, 281, 10241, 540, 19871, 7177, 4373, 3080, 3078, 3498, 540, 3940, 4702, 538, 10991, 7350, 568, 519, 1646, 540, 9190, 19777, 839, 832, 585, 4028, 7020, 540, 2825, 17694, 269, 1306, 12006, 538, 519, 4367, 267, 4551, 4865, 7915, 15392, 7207, 19962, 547, 741, 2702, 547, 2170, 609, 1585, 6675, 3842, 7463, 13805, 5946, 269, 3414, 4719, 14842, 267, 891, 5065, 8596, 666, 581, 8476, 610, 1065, 584, 12723, 547, 4431, 547, 3077, 2555, 5052, 540, 1719, 267, 971, 607, 5230, 8407, 267, 5214, 7135, 267, 610, 13596, 269, 1280, 3236, 267, 3173, 5063, 7152, 602, 18521, 615, 747, 807, 19546, 1223, 581, 22041, 547, 2769, 513, 9168, 8585, 305, 16606, 3815, 17841, 547, 28227, 267, 7175, 3728, 543, 4977, 3067, 2305, 540, 713, 6757, 3693, 538, 1216, 5439, 630, 299, 24926, 1696, 620, 1421, 476, 1001, 280, 1040, 6684, 267, 824, 2516, 723, 10244, 539, 3940, 4702, 3741, 547, 4020, 2898, 16052, 19777, 839, 832, 585, 1483, 6066, 5464, 540, 6491, 878, 12547, 3154, 2157, 630, 16675, 6229, 1696, 620, 1421, 476, 1001, 278, 264, 543, 27187, 4283, 3821, 1583, 990, 541, 14977, 874, 574, 584, 1756, 7020, 630, 313, 28702, 1696, 620, 1421, 476, 1001, 279, 1040, 11814, 1947, 267, 891, 8441, 20838, 519, 10373, 9153, 4371, 676, 3940, 4702, 585, 30507, 19777, 14819, 2029, 2066, 3875, 6080, 780, 1262, 6962, 4373, 9961, 713, 1770, 267, 649, 723, 8268, 519, 6385, 9687, 2361, 540, 3940, 4702, 543, 922, 4644, 538, 5935, 2104, 23484, 1369, 10991, 7350, 269, 3245, 13654, 2035, 12044, 3940, 2497, 543, 1599, 547, 4359, 2994, 6964, 538, 8888, 16419, 19777, 839, 832, 267, 649, 723, 2938, 875, 15834, 21769, 1063, 2780, 2257, 267, 11976, 267, 7998, 267, 6323, 267, 543, 4702, 3136, 547, 7903, 6302, 543, 12260, 13778, 3255, 585, 5647, 269, 11569, 267, 607, 1382, 3646, 14556, 1518, 543, 6639, 7760, 17108, 267, 972, 568, 2370, 8969, 602, 3940, 4702, 786, 2611, 693, 519, 21282, 540, 3621, 6602, 267, 6117, 13710, 1689, 2066, 9922, 17364, 3782, 267, 6683, 267, 1648, 2504, 267, 543, 3564, 269, 0, 2080, 568, 606, 1349, 689, 513, 2546, 912, 257, 20524, 811, 689, 26467, 517, 454, 306, 24678, 10334, 538, 519, 7464, 2622, 281, 12039, 1948, 10619, 454, 300, 17853, 19777, 839, 832, 3713, 1216, 17694, 538, 476, 274, 3764, 563, 296, 6557, 856, 593, 16314, 713, 3018, 267, 865, 1100, 20394, 1985, 11728, 269, 8729, 585, 2542, 2336, 289, 22160, 616, 3532, 267, 2370, 6191, 269, 1358, 4076, 1044, 22041, 547, 3713, 2825, 17694, 267, 5544, 12982, 6786, 3330, 519, 1560, 267, 543, 2048, 338, 333, 858, 685, 856, 1978, 11871, 538, 8983, 269, 594, 4076, 2854, 827, 1142, 540, 891, 3156, 693, 930, 1448, 267, 543, 519, 1982, 332, 1464, 540, 1272, 26208, 803, 1169, 942, 563, 1103, 1210, 4551, 607, 2713, 19777, 839, 832, 267, 1498, 267, 649, 616, 21739, 3908, 269, 10334, 568, 3500, 269, 898, 3217, 693, 2547, 476, 1789, 3764, 585, 513, 3940, 547, 3713, 513, 5365, 267, 20794, 602, 5048, 883, 513, 1591, 267, 3132, 544, 23978, 17683, 513, 24638, 3940, 267, 543, 1071, 518, 576, 10775, 22199, 547, 1118, 513, 3940, 602, 513, 10196, 666, 3713, 896, 513, 17209, 563, 763, 5326, 568, 547, 1118, 4551, 602, 666, 3713, 1022, 8311, 924, 538, 3764, 267, 609, 1100, 16681, 3937, 2838, 563, 2690, 513, 1007, 1353, 538, 7186, 267, 3173, 689, 19676, 1133, 328, 3010, 2237, 606, 3573, 543, 2143, 1576, 1770, 538, 513, 1837, 585, 2852, 1053, 1644, 547, 519, 1349, 1657, 267, 2519, 593, 834, 3682, 12888, 7177, 257, 607, 851, 540, 834, 306, 11799, 1315, 30911, 2668, 1684, 711, 1175, 1592, 2035, 267, 855, 1020, 1142, 835, 538, 1469, 1354, 3001, 547, 519, 1985, 267, 607, 649, 4225, 3178, 540, 1620, 543, 3102, 3408, 540, 519, 1641, 2339, 936, 4560, 780, 2521, 547, 1384, 268, 3550, 538, 3829, 3795, 540, 519, 2035, 563, 268, 2422, 513, 2239, 267, 2219, 4538, 2511, 563, 268, 4045, 519, 1888, 609, 1699, 3466, 267, 1483, 3734, 1806, 267, 610, 2487, 2090, 563, 2710, 711, 1331, 513, 2140, 267, 2606, 2453, 267, 610, 2592, 269, 3503, 519, 1543, 2047, 269, 0, 3848, 476, 277, 281, 2904, 534, 595, 659, 7776, 26492, 692, 5331, 521, 6235, 513, 27598, 267, 3638, 10217, 4235, 602, 781, 1044, 10150, 585, 5215, 540, 1296, 256, 901, 3184, 786, 1491, 596, 593, 513, 8949, 7045, 998, 942, 547, 3605, 875, 519, 1004, 540, 519, 2904, 534, 10340, 1031, 524, 659, 7776, 10365, 547, 1711, 5023, 22476, 13000, 543, 1271, 12738, 269, 1924, 10544, 707, 24203, 976, 543, 1577, 781, 4685, 883, 713, 17705, 1686, 3992, 2439, 4089, 476, 272, 281, 7316, 621, 782, 23548, 534, 1107, 634, 8092, 540, 17286, 9366, 2098, 20529, 692, 5978, 1650, 6238, 538, 513, 18932, 267, 9341, 22986, 4092, 538, 7013, 6792, 1572, 519, 17286, 9366, 2098, 20529, 630, 1088, 8686, 7795, 555, 2129, 268, 651, 327, 1040, 898, 781, 1753, 547, 26009, 10239, 10145, 9643, 538, 7524, 18707, 540, 3039, 543, 31523, 609, 1272, 269, 1280, 811, 982, 476, 275, 267, 1822, 1296, 267, 891, 15417, 3338, 723, 3177, 3501, 2175, 585, 3395, 1945, 5963, 9589, 281, 524, 659, 7776, 4054, 269, 1452, 4054, 3132, 1804, 267, 11176, 11057, 10540, 338, 4904, 609, 524, 659, 7776, 10365, 9789, 1292, 12146, 538, 835, 540, 938, 5172, 13000, 2221, 281, 10217, 2439, 4089, 476, 273, 281, 7581, 591, 1323, 6827, 832, 1107, 634, 2098, 20529, 543, 9986, 332, 1815, 6406, 3074, 692, 16524, 1354, 972, 941, 5259, 15806, 610, 3864, 3744, 267, 972, 5030, 1079, 2516, 540, 11212, 10995, 1004, 1318, 1934, 538, 519, 17113, 281, 519, 2098, 20529, 543, 741, 11937, 267, 519, 9986, 332, 1815, 338, 269, 3502, 1152, 1705, 789, 1628, 11141, 4872, 543, 26829, 267, 855, 789, 849, 6594, 519, 6801, 543, 2813, 6946, 30300, 1513, 547, 3950, 942, 269, 2201, 1283, 540, 602, 267, 789, 4362, 875, 547, 2981, 524, 659, 7776, 10365, 883, 513, 29915, 908, 4235, 789, 3957, 834, 330, 752, 1177, 2437, 799, 4371, 1390, 4644, 538, 741, 2528, 780, 12244, 22830, 281, 8073, 2659, 13574, 25038, 454, 8794, 1957, 10824, 267, 12508, 267, 543, 5569, 267, 1374, 513, 2241, 11706, 1759, 593, 1018, 596, 917, 827, 519, 2904, 534, 7043, 4032, 11706, 610, 824, 6805, 30300, 1513, 269, 9181, 875, 9477, 942, 5280, 519, 606, 857, 757, 1544, 6694, 2238, 899, 9544, 543, 16276, 7031, 780, 4089, 476, 274, 281, 589, 24656, 569, 717, 3424, 1107, 28688, 3220, 3855, 585, 20858, 1023, 692, 24137, 4464, 547, 519, 12625, 540, 5053, 9518, 626, 611, 832, 3366, 676, 670, 1716, 17505, 23634, 15530, 538, 476, 14681, 280, 269, 1261, 1558, 609, 519, 25069, 322, 17169, 7720, 551, 14162, 6373, 267, 945, 4843, 1864, 609, 513, 2027, 1521, 1107, 513, 29413, 267, 25970, 10217, 4235, 1634, 607, 1535, 665, 13331, 331, 630, 19651, 18396, 324, 5025, 30045, 307, 1040, 17214, 689, 2666, 524, 659, 7776, 10365, 6404, 609, 1216, 267, 31625, 18717, 267, 9932, 267, 543, 1585, 14546, 267, 713, 10143, 598, 1723, 794, 6039, 607, 1312, 513, 24253, 20892, 543, 513, 3090, 540, 5763, 543, 1379, 1851, 519, 28665, 269, 17652, 2614, 267, 713, 632, 937, 762, 4235, 1131, 1265, 922, 1259, 2066, 519, 5836, 543, 883, 519, 12271, 540, 1004, 1472, 519, 8608, 780, 12244, 22830, 281, 5071, 2659, 9576, 30094, 720, 454, 21886, 5971, 1053, 547, 4952, 789, 616, 28370, 538, 519, 25069, 322, 10504, 269, 12833, 924, 873, 547, 2721, 543, 6003, 5820, 585, 741, 2189, 267, 1875, 17038, 4022, 545, 10424, 20892, 1210, 2139, 5613, 267, 11922, 267, 543, 14546, 269, 4841, 949, 1256, 1616, 547, 2119, 973, 11661, 741, 10346, 693, 1753, 896, 2385, 15569, 780, 4089, 476, 275, 281, 3465, 6326, 3778, 1107, 7073, 21964, 540, 9147, 9828, 692, 10214, 1498, 649, 1100, 3476, 946, 6149, 2645, 610, 8860, 10007, 1572, 1558, 919, 547, 1184, 524, 659, 7776, 10365, 267, 1082, 3344, 540, 2757, 10217, 2504, 2611, 9800, 2221, 269, 3203, 16388, 531, 10217, 15670, 1869, 887, 770, 543, 20836, 524, 659, 7776, 10365, 1454, 899, 741, 3504, 13413, 1247, 14139, 2413, 2553, 547, 13217, 10366, 543, 9403, 269, 1635, 9256, 2250, 7326, 609, 1007, 10124, 267, 649, 3136, 547, 2972, 519, 1642, 2074, 540, 10217, 1175, 607, 519, 2904, 753, 1705, 865, 1279, 3516, 780, 12244, 22830, 281, 570, 4292, 4530, 18948, 454, 16391, 1125, 513, 6492, 1449, 1063, 4853, 543, 1148, 16388, 958, 18705, 669, 4377, 919, 269, 5620, 1053, 5635, 11183, 267, 24710, 267, 8137, 4967, 267, 543, 9403, 269, 11559, 4901, 827, 3604, 538, 4393, 2409, 543, 1946, 930, 4782, 835, 1826, 936, 1776, 780, 310, 1905, 5455, 1384, 3528, 3695, 519, 4241, 1686, 3297, 2904, 534, 524, 659, 7776, 5389, 267, 649, 2744, 513, 4514, 7071, 585, 713, 11537, 1521, 543, 1346, 945, 16916, 621, 2429, 5553, 269, 1284, 4126, 596, 1745, 6273, 547, 1451, 811, 827, 6237, 3536, 689, 519, 17113, 543, 2671, 707, 16012, 1702, 609, 1920, 543, 2828, 256, 0, 2080, 568, 606, 1349, 689, 513 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

[ 454, 258, 1363, 2132, 804, 338, 14857, 27349, 692, 258, 524, 1156, 815, 589, 3488, 7770, 3299, 2537, 994, 258, 536, 756, 328, 815, 589, 3488, 10292, 10292, 3299, 476, 2190, 994, 258, 1820, 6262, 1156, 267, 536, 756, 328, 994, 258, 1820, 6262, 1156, 20508, 264, 476, 1948, 476, 25263, 504, 420, 351, 360, 26109, 484, 25203, 500, 454, 258, 1820, 6357, 756, 328, 20508, 2020, 258, 6449, 18091, 1029, 476, 23746, 23284, 418, 505, 368, 418, 498, 373, 10254, 353, 13161, 511, 2525, 476, 7511, 25913, 19764, 493, 20992, 10254, 353, 13161, 511, 29219, 12486, 476, 12571, 355, 10254, 503, 20992, 10254, 353, 13161, 511, 19540, 483, 11858, 502, 17295, 364, 417, 507, 478, 454, 258, 1362, 589, 912, 258, 672, 1219, 6449, 8181, 9191, 1345, 267, 2012, 267, 2085, 2187, 258, 1363, 1582, 20508, 815, 2012, 454, 258, 1363, 1582, 269, 720, 815, 2085, 454, 16482, 258, 672, 1948, 13127, 506, 357, 13213, 505, 27310, 2652, 476, 10254, 353, 13161, 511, 28793, 8147, 25263, 504, 19867, 356, 27310, 30244, 14748, 16583, 30936, 454, 258, 672, 1219, 6449, 18091, 9191, 1345, 267, 824, 2567, 476, 1948, 13127, 28187, 31563, 4970, 353, 14748, 14395, 508, 28032, 489, 7511, 31271, 508, 26233, 356, 29219, 25203, 372, 419, 511, 487, 8147, 16533, 365, 25203, 372, 419, 511, 487, 454, 258, 1363, 2132, 6936, 952, 1582, 14857, 18743, 1029, 2652, 824, 14857, 18743, 1029, 3116, 8771, 454, 258, 513, 815, 589, 3488, 7770, 3299, 476, 2537, 994, 258, 536, 815, 589, 3488, 7770, 3299, 476, 2537, 994, 16482, 258, 1820, 5416, 2525, 321, 264, 476, 1948, 13127, 28187, 31563, 418, 366, 350, 20069, 6449, 18091, 1029, 476, 25913, 25622, 12486, 476, 10254, 503, 10254, 353, 13161, 511, 19540, 483, 11858, 502, 17295, 364, 417, 507, 478, 8147, 20069, 10254, 503, 19867, 356, 27310, 1029, 18091, 1029, 25913, 25622, 692, 258, 6449, 327, 1662, 1029, 476, 13127, 497, 486, 27747, 490, 454, 258, 476, 12916, 379, 23523, 501, 31271, 508, 26233, 356, 29219, 25203, 372, 12571, 490, 28793, 8147, 417, 497, 486, 27747, 490, 17295, 364, 417, 507, 478, 420, 25693, 25203, 372, 12571, 490, 454, 258, 1305, 476, 28032, 507, 420, 369, 500, 28098, 420, 365, 350, 7511, 327, 1662, 13127, 23687, 552, 336, 454, 5035, 589, 912, 825, 1219, 6449, 8181, 9191, 1345, 267, 2012, 267, 2085, 2187, 1038, 1582, 20508, 815, 2012, 454, 1038, 1582, 269, 720, 815, 2085, 692, 825, 1219, 6449, 327, 1662, 9191, 1345, 2187, 1038, 2132, 19474, 4311, 20508, 266, 1345, 269, 720, 2020, 825, 1219, 6449, 18091, 9191, 1345, 267, 824, 2187, 1038, 952, 1582, 14857, 18743, 1029, 2652, 824, 14857, 18743, 1029, 912, 2018, 2132, 6936, 454, 1038, 2132, 8771, 692, 320, 815, 589, 3488, 7770, 3299, 1412, 2537, 5073, 321, 815, 589, 3488, 7770, 3299, 1412, 2537, 5073, 2745, 22607, 1662, 5416, 1070, 19474, 6357, 4917, 2745, 263, 3553, 9230, 320, 14720, 30727, 476, 1948, 476, 28032, 507, 420, 369, 500, 19540, 483, 419, 377, 362, 16583, 30936, 6449, 327, 1662, 1029, 13127, 23687, 6449, 18091, 1029, 0, 258, 9041, 265, 318, 8193, 281, 583, 325, 268, 279, 9041, 265, 29390, 1029, 10461, 1029, 815, 1412, 321, 6929, 7055, 1029, 11845, 1029, 815, 1412, 1001, 280, 270, 273, 270, 2764, 476, 16573, 279, 476, 2537, 281, 1704, 262, 7531, 258, 29635, 369, 489, 29219, 13213, 494, 28997, 501, 18809, 454, 258, 561, 529, 272, 815, 1496, 272, 267, 273, 267, 274, 267, 9131, 328, 12887, 331, 913, 12887, 9767, 28710, 1412, 321, 5074, 320, 23300, 258, 561, 529, 273, 815, 561, 529, 272, 476, 1948, 17276, 488, 488, 5894, 273, 18263, 509, 418, 490, 485, 12571, 495, 5894, 272, 7511, 19540, 483, 11858, 502, 17295, 364, 417, 507, 478, 8147, 19867, 478, 23284, 5894, 273, 7511, 29219, 4970, 492, 5894, 272, 7511, 29219, 25263, 504, 25203, 372, 419, 511, 487, 692, 12163, 17276, 489, 371, 420, 368, 507, 16088, 454, 825, 476, 28578, 23989, 25520, 21211, 10429, 372, 418, 489, 354, 20069, 418, 489, 371, 420, 368, 507, 25913, 25622, 8147, 23746, 9463, 502, 12255, 29004, 362, 32352, 417, 508, 489, 454, 17276, 369, 483, 418, 489, 371, 420, 368, 507, 5299, 3097, 825, 13127, 363, 373, 30678, 418, 369, 483, 418, 489, 371, 420, 368, 507, 26033, 490, 420, 357, 478, 8147, 9463, 359, 15159, 21928, 19540, 483, 11858, 502, 18809, 13161, 364, 10254, 505, 417, 375, 374, 29072, 22047, 419, 358, 374, 25426, 368, 11858, 502, 418, 498, 378, 13161, 364, 28578, 23989, 8147, 12916, 484, 13161, 364, 26033, 479, 28578, 23989, 18809, 7511, 19867, 478, 20069, 30317, 27381, 510, 15159, 10429, 361, 10429, 365, 7511, 5405, 505, 30244, 418, 482, 493, 417, 495, 367, 419, 507, 478, 19867, 478, 20069, 19540, 483, 421, 481, 357, 30317, 27381, 510, 7511, 454, 825, 13127, 484, 483, 11858, 502, 17295, 364, 417, 507, 478, 15159, 13601, 21550, 371, 7511, 8147, 15159, 12571, 490, 22047, 30317, 27381, 510, 454, 12163, 258, 561, 529, 272, 815, 1496, 272, 267, 273, 267, 274, 267, 9131, 328, 12887, 331, 913, 12887, 9767, 28710, 1412, 321, 5074, 320, 23300, 258, 561, 529, 273, 815, 561, 529, 272, 6983, 4878, 4590, 258, 1820, 263, 573, 263, 5894, 272, 1070, 7329, 263, 5894, 273, 4297, 11434, 1948, 561, 529, 272, 4970, 492, 5894, 273, 7511, 19540, 483, 11858, 502, 17295, 364, 417, 507, 478, 15159, 21251, 12571, 490, 7511, 454, 258, 1820, 263, 573, 263, 5894, 272, 314, 274, 25818, 7329, 263, 5894, 273, 314, 274, 316, 4297, 1948, 476, 12916, 484, 10429, 370, 19540, 483, 421, 481, 357, 19867, 478, 20069, 30317, 27381, 510, 7511, 19540, 483, 11858, 502, 17295, 364, 417, 507, 478, 10524, 491, 25203, 372, 12571, 490, 692, 12163, 418, 371, 365, 418, 489, 371, 420, 368, 507, 5299, 19709, 788, 32476, 263, 5894, 272, 994, 825, 476, 4970, 492, 418, 369, 483, 418, 489, 371, 420, 368, 507, 7511, 25060, 374, 10254, 360, 16088, 454, 1038, 13127, 484, 483, 421, 481, 357, 7511, 23746, 9463, 502, 12255, 29004, 362, 32352, 417, 508, 489, 7511, 30317, 27381, 510, 7511, 19540, 483, 11858, 502, 17295, 364, 417, 507, 478, 418, 489, 371, 420, 368, 507, 31176, 491, 12571, 492, 15159, 21251, 12571, 490, 7511, 8147, 30244, 418, 482, 493, 417, 495, 367, 419, 507, 478, 19540, 483, 11858, 502, 13161, 364, 19764, 478, 20001, 509, 29072, 11858, 502, 417, 480, 357, 419, 358, 374, 25426, 368, 5405, 505, 10429, 370, 12916, 503, 4970, 492, 418, 369, 483, 418, 489, 371, 420, 368, 507, 13601, 21550, 371, 454, 12163, 5814, 5299, 454, 5894, 272, 815, 1496, 272, 267, 273, 267, 274, 267, 9131, 328, 12887, 331, 913, 12887, 9767, 28710, 1412, 321, 5074, 320, 23300, 5894, 273, 815, 5299, 19709, 788, 32476, 263, 5894, 272, 994, 2745, 263, 573, 263, 5894, 272, 1070, 7329, 263, 5894, 273, 4297, 567, 1948, 17276, 371, 365, 418, 489, 371, 420, 368, 507, 4970, 353, 14748, 28578, 23989, 7511, 19540, 483, 11858, 502, 17295, 364, 417, 507, 478, 15159, 21251, 12571, 490, 7511, 8147, 30244, 4970, 492, 418, 369, 483, 418, 489, 371, 420, 368, 507, 13601, 21550, 371, 454, 2745, 263, 573, 263, 5894, 272, 314, 272, 25818, 7329, 263, 5894, 273, 314, 272, 316, 4297, 1948, 476, 10429, 370, 18809, 21251, 23746, 9463, 502, 12255, 29004, 362, 7511, 19540, 483, 11858, 502, 17295, 364, 417, 507, 478, 10524, 491, 25203, 372, 12571, 490, 8147, 30244, 4970, 492, 418, 369, 483, 418, 489, 371, 420, 368, 507, 13601, 21550, 371, 454, 2745, 263, 573, 263, 5894, 272, 314, 274, 25818, 7329, 263, 5894, 273, 314, 274, 316, 4297, 1948, 476, 12916, 484, 10429, 370, 18809, 23746, 9463, 502, 12255, 29004, 362, 7511, 19540, 483, 11858, 502, 17295, 364, 417, 507, 478, 15159, 21251, 12571, 490, 7511, 8147, 30244, 15159, 4970, 492, 418, 369, 483, 418, 489, 371, 420, 368, 507, 7511, 25060, 374, 10254, 360, 19638, 692, 0, 12163, 21251, 23746, 9463, 502, 12255, 29004, 362, 32352, 417, 508, 489, 16088, 24042, 267, 536, 944, 267, 1193, 267, 703, 825, 476, 955, 23746, 417, 497, 486, 27747, 490, 454, 476, 476, 23746, 9463, 502, 12255, 29004, 362, 32352, 417, 508, 489, 16088, 1592, 8147, 18743, 8147, 1305, 8587, 476, 955, 28098, 10429, 370, 13213, 505, 27310, 13213, 485, 12571, 482, 26175, 491, 25913, 25622, 12571, 492, 8147, 10429, 370, 29219, 10951, 361, 420, 374, 360, 15159, 420, 351, 360, 418, 498, 373, 9463, 502, 7511, 692, 18743, 16088, 20721, 510, 31365, 7511, 268, 418, 366, 350, 20069, 27381, 351, 19764, 499, 454, 825, 476, 272, 269, 1883, 417, 379, 483, 421, 350, 375, 20992, 21251, 23746, 9463, 502, 12255, 29004, 362, 32352, 417, 508, 489, 454, 825, 476, 273, 269, 1871, 418, 366, 350, 20069, 12255, 29004, 362, 32352, 417, 508, 489, 30522, 494, 10254, 370, 692, 825, 476, 25263, 502, 30536, 16088, 454, 1038, 476, 272, 269, 11590, 490, 26166, 418, 509, 354, 19867, 378, 418, 509, 354, 13644, 351, 454, 1038, 476, 273, 269, 27962, 19404, 493, 10429, 367, 419, 367, 375, 417, 508, 489, 12255, 29004, 362, 692, 18743, 16088, 417, 351, 508, 10254, 510, 418, 498, 373, 418, 509, 354, 454, 825, 13127, 351, 508, 16088, 454, 1038, 476, 272, 269, 9598, 9131, 4486, 11172, 815, 1871, 476, 13127, 28187, 31563, 4486, 21251, 11858, 502, 21928, 8147, 10254, 503, 13161, 364, 417, 351, 508, 5405, 505, 454, 4449, 3546, 13127, 28187, 31563, 4486, 26266, 366, 11858, 502, 21928, 8147, 10254, 503, 26109, 484, 25203, 500, 454, 1038, 476, 273, 269, 9598, 15630, 29239, 3488, 4486, 3299, 546, 264, 825, 13127, 28187, 31563, 4486, 21251, 11858, 502, 21928, 8147, 10254, 503, 13161, 364, 417, 351, 508, 1871, 284, 323, 454, 4449, 13376, 13127, 28187, 31563, 4486, 26266, 366, 11858, 502, 21928, 8147, 10254, 503, 418, 366, 350, 20069, 30853, 17958, 8147, 21251, 418, 488, 354, 421, 498, 503, 454, 825, 476, 10254, 510, 16088, 454, 1038, 476, 272, 269, 9598, 21014, 31107, 267, 546, 264, 476, 10254, 510, 30522, 353, 4486, 28098, 18021, 498, 7511, 421, 498, 362, 29219, 8147, 20069, 13213, 498, 18713, 508, 29219, 8147, 13213, 498, 18713, 508, 29219, 20992, 7407, 29219, 25707, 23351, 1883, 21251, 11858, 502, 21928, 10254, 503, 13213, 498, 18713, 508, 323, 8147, 421, 375, 502, 18777, 353, 20992, 14085, 454, 1038, 476, 273, 269, 9598, 21014, 14403, 3890, 567, 28859, 504, 493, 10951, 374, 10254, 510, 30522, 353, 13601, 28098, 421, 498, 362, 29219, 5405, 505, 20069, 13213, 498, 18713, 508, 29219, 8147, 20992, 420, 351, 360, 10254, 510, 30522, 353, 7511, 273, 2389, 340, 921, 454, 1038, 476, 274, 269, 1642, 9598, 9131, 4486, 11172, 476, 476, 10254, 510, 30522, 353, 4486, 28098, 18021, 498, 7511, 421, 498, 362, 29219, 8147, 18263, 509, 23746, 23284, 10254, 510, 30522, 353, 10533, 368, 14748, 21211, 10429, 372, 454, 23351, 1883, 21251, 11858, 502, 21928, 10254, 503, 418, 488, 354, 421, 498, 503, 454, 1038, 476, 275, 269, 9598, 269, 27234, 3890, 672, 17276, 372, 483, 419, 358, 374, 21211, 10429, 372, 454, 825, 17276, 498, 373, 16088, 454, 1038, 476, 272, 269, 9598, 9131, 4486, 11172, 815, 1871, 476, 13127, 28187, 31563, 4486, 21251, 11858, 502, 21928, 8147, 10254, 503, 13161, 364, 417, 351, 508, 5405, 505, 454, 4449, 3546, 13127, 28187, 31563, 4486, 26266, 366, 11858, 502, 21928, 8147, 10254, 503, 26109, 484, 25203, 500, 454, 1038, 476, 273, 269, 2025, 18380, 269, 26303, 28956, 18380, 264, 825, 476, 17958, 2908, 18380, 418, 505, 368, 13161, 364, 1245, 18380, 267, 20069, 19404, 491, 14035, 491, 7511, 4486, 16043, 500, 1245, 18380, 18809, 21251, 11858, 502, 21928, 7511, 4486, 8147, 10254, 503, 418, 505, 368, 13161, 364, 20992, 2908, 18380, 18809, 7511, 421, 498, 362, 29219, 454, 825, 17276, 509, 354, 16088, 454, 1038, 476, 272, 269, 9598, 10947, 3488, 4486, 3299, 546, 264, 567, 476, 13213, 498, 18713, 508, 7407, 267, 13127, 28187, 31563, 30244, 14748, 4486, 21251, 11858, 502, 21928, 8147, 10254, 503, 13213, 498, 18713, 508, 323, 8147, 323, 7511, 421, 375, 502, 18777, 353, 29219, 20992, 14085, 454, 1038, 476, 273, 269, 9598, 269, 12399, 3890, 476, 9598, 269, 11161, 3890, 567, 9598, 29096, 4590, 23526, 1883, 19930, 1871, 8587, 18011, 4486, 3299, 1412, 7407, 17210, 2018, 585, 1883, 267, 1871, 538, 9598, 29096, 263, 2567, 567, 9847, 28859, 479, 491, 31308, 484, 21211, 10429, 372, 421, 498, 362, 29219, 454, 20701, 323, 545, 815 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

[ 267, 543, 10452, 593, 519, 1259, 4755, 560, 766, 543, 3903, 3313, 519, 8846, 2729, 1491, 267, 7917, 17848, 12958, 513, 9066, 593, 3961, 12979, 1819, 538, 606, 17581, 538, 1913, 543, 2592, 540, 513, 4571, 2389, 342, 12351, 10601, 1272, 563, 1103, 476, 7277, 279, 3377, 540, 519, 6602, 540, 4154, 538, 4993, 15427, 606, 11999, 5951, 540, 900, 12568, 4724, 519, 7414, 269, 700, 3293, 676, 519, 9153, 540, 13284, 1127, 267, 5215, 540, 13896, 2451, 3297, 519, 7733, 267, 4764, 267, 543, 15417, 3037, 540, 519, 9456, 2136, 2276, 538, 3870, 540, 519, 11315, 13463, 1233, 3338, 540, 519, 1977, 4639, 269, 634, 10565, 14099, 789, 17388, 547, 3444, 568, 865, 5432, 547, 721, 1631, 602, 621, 568, 2182, 547, 4952, 875, 31029, 1765, 16838, 5601, 325, 832, 2586, 1765, 1080, 22406, 4224, 8188, 543, 3046, 1066, 24301, 8604, 547, 938, 2062, 321, 8986, 563, 26773, 10003, 4639, 6770, 741, 5133, 12667, 569, 547, 1272, 267, 22805, 1927, 519, 12473, 936, 1633, 3460, 540, 519, 4988, 530, 6782, 14884, 543, 519, 8903, 1650, 540, 519, 5251, 789, 11402, 269, 14171, 3988, 2059, 519, 476, 273, 267, 1822, 28902, 4993, 20417, 267, 3223, 603, 9253, 323, 22844, 3096, 519, 1019, 2456, 543, 5022, 540, 519, 13896, 2933, 32737, 1134, 607, 519, 9118, 3108, 646, 814, 6170, 1739, 519, 13009, 23121, 7866, 875, 519, 20569, 543, 11585, 540, 519, 4639, 2047, 4299, 938, 4182, 779, 31023, 7269, 269, 1261, 10274, 721, 998, 513, 1351, 2607, 730, 5251, 540, 4718, 1729, 1054, 10239, 267, 1739, 519, 803, 4526, 12535, 602, 6039, 607, 3076, 3894, 998, 606, 25545, 2244, 267, 782, 519, 1259, 547, 4993, 3294, 267, 1141, 2458, 4575, 29684, 10824, 2813, 18198, 29278, 543, 12630, 519, 4154, 602, 561, 3293, 17631, 7178, 538, 519, 1101, 1747, 563, 2108, 21446, 919, 16900, 1063, 12667, 6589, 540, 519, 476, 866, 628, 10601, 3460, 543, 561, 16112, 3137, 540, 519, 17027, 2621, 602, 8032, 519, 5251, 14612, 269, 1547, 1547, 1547, 634, 5467, 2501, 2476, 609, 1312, 606, 7071, 585, 519, 818, 706, 748, 3444, 9762, 514, 1581, 530, 6782, 3460, 543, 606, 1620, 540, 519, 2621, 602, 2813, 971, 513, 5318, 543, 2352, 5251, 1848, 1765, 299, 3869, 4750, 454, 2108, 314, 300, 15505, 22844, 316, 14405, 593, 1010, 3318, 1702, 547, 2491, 519, 20569, 540, 519, 4639, 267, 6029, 875, 5553, 540, 17027, 2534, 1185, 513, 1463, 1198, 593, 519, 11507, 3144, 676, 519, 17631, 269, 1547, 1547, 1547, 9253, 323, 22844, 2488, 513, 3209, 2272, 540, 519, 4102, 936, 1633, 9194, 2094, 519, 12724, 3547, 1848, 1765, 16631, 5240, 454, 30875, 16817, 29124, 729, 835, 540, 519, 1101, 3318, 2520, 5505, 538, 519, 2136, 2276, 269, 1261, 9859, 1079, 540, 519, 9998, 1533, 17027, 12220, 734, 6124, 14948, 543, 12425, 734, 514, 519, 4571, 268, 8146, 271, 338, 269, 3571, 2101, 1719, 729, 12425, 267, 609, 922, 29630, 1014, 15142, 267, 799, 29124, 4718, 607, 1390, 26642, 540, 24348, 4224, 269, 1261, 1517, 1882, 602, 606, 7664, 540, 891, 26642, 1131, 1291, 547, 606, 1620, 540, 519, 6422, 3157, 602, 1185, 8032, 519, 3618, 269, 3245, 29124, 262, 3646, 547, 2491, 891, 12425, 26642, 3357, 519, 1101, 19918, 1977, 3069, 540, 7823, 15038, 267, 513, 3069, 602, 29124, 13948, 2808, 1010, 1034, 1713, 9740, 563, 763, 4400, 4133, 2552, 7337, 344, 568, 513, 3638, 543, 829, 21082, 2272, 540, 519, 3791, 543, 2063, 2101, 15539, 538, 13524, 10601, 20569, 31827, 689, 519, 960, 540, 11184, 14339, 15104, 631, 3420, 2581, 269, 634, 4505, 8061, 20897, 543, 18095, 6929, 4149, 559, 584, 1014, 27900, 10704, 593, 2436, 519, 31324, 540, 8061, 517, 543, 12986, 1058, 581, 9286, 676, 12776, 1670, 610, 12779, 2632, 1670, 7355, 267, 855, 519, 4400, 4133, 15539, 21256, 689, 519, 7965, 519, 13677, 4400, 4133, 4843, 547, 2520, 5505, 945, 941, 1175, 1565, 547, 21264, 519, 1360, 1950, 3157, 540, 7823, 2679, 543, 23009, 1143, 269, 6424, 6196, 5797, 323, 5205, 713, 15784, 883, 519, 2063, 1296, 540, 519, 13524, 2540, 267, 607, 20569, 729, 9927, 676, 2810, 3318, 1436, 543, 676, 519, 1646, 540, 1007, 2361, 543, 8047, 2553, 269, 769, 10213, 713, 1650, 267, 6196, 5797, 323, 781, 2832, 568, 547, 5659, 875, 3621, 1702, 568, 9112, 1369, 513, 8013, 3621, 2146, 1765, 6011, 3069, 267, 12170, 4681, 267, 543, 1514, 2188, 2170, 538, 519, 5250, 540, 1702, 563, 24874, 5797, 323, 3096, 31150, 1570, 543, 1010, 1378, 3573, 16646, 540, 519, 13524, 10601, 2361, 1740, 538, 513, 2013, 1353, 6029, 875, 2143, 7851, 543, 6810, 1500, 621, 2009, 547, 1174, 519, 24215, 1950, 17027, 2497, 540, 519, 4400, 4133, 454, 2304, 17170, 1840, 547, 519, 1686, 540, 20569, 267, 634, 4400, 4133, 2552, 7337, 344, 849, 2306, 1271, 7418, 547, 938, 1620, 540, 519, 1514, 543, 12497, 3157, 540, 3621, 960, 267, 2523, 538, 2053, 540, 12699, 15539, 563, 301, 4899, 18096, 779, 12984, 2255, 15142, 616, 2442, 18353, 585, 9205, 12439, 538, 1169, 4005, 269, 1452, 10239, 4473, 20498, 569, 689, 519, 5266, 6366, 14860, 6989, 547, 24369, 19589, 936, 476, 1556, 267, 1822, 3952, 538, 15038, 269, 1323, 3606, 562, 31106, 19589, 4473, 811, 982, 476, 1015, 267, 1822, 3952, 538, 15038, 269, 4014, 1082, 19482, 10274, 2291, 585, 519, 12984, 2255, 15142, 267, 972, 814, 1044, 1100, 3391, 1433, 602, 6212, 593, 519, 27230, 2934, 7298, 689, 519, 18162, 1765, 2863, 559, 1631, 563, 24309, 676, 513, 6444, 6392, 593, 519, 20569, 540, 519, 12984, 2255, 15142, 267, 713, 3391, 568, 5921, 547, 10802, 519, 1995, 540, 9205, 12439, 945, 1616, 547, 1174, 519, 17027, 1686, 543, 1646, 540, 519, 12984, 2255, 2039, 269, 634, 1101, 3296, 540, 519, 1433, 12857, 519, 2101, 17027, 942, 5712, 9789, 2594, 540, 7823, 2679, 2621, 689, 9510, 547, 21836, 267, 519, 2360, 540, 12620, 2747, 267, 543, 519, 1646, 540, 519, 1459, 27177, 269, 898, 1287, 5205, 609, 513, 10855, 13009, 3391, 585, 1142, 2101, 13009, 1062, 267, 1519, 7085, 15880, 543, 3026, 742, 338, 595, 1415, 976, 267, 6778, 10493, 639, 267, 9741, 543, 8262, 29158, 6229, 595, 1415, 976, 267, 543, 13852, 338, 24258, 269, 20417, 3259, 267, 15038, 2744, 267, 3448, 7411, 267, 543, 2101, 17027, 2934, 616, 13890, 585, 1142, 13009, 269, 3767, 596, 666, 30382, 891, 18162, 609, 519, 4267, 547, 782, 707, 27230, 2055, 1318, 693, 707, 31840, 563, 288, 3778, 2986, 30578, 454, 294, 2129, 879, 267, 28792, 31089, 7970, 2160, 4964, 267, 476, 1960, 272, 7732, 540, 6837, 1627, 292, 1556, 14371, 5038, 476, 1960, 272, 1923, 1546, 28838, 27252, 476, 20862, 269, 280, 454, 257, 3528, 2484, 519, 1655, 2110, 4367, 547, 519, 1686, 540, 20569, 538, 1820, 383, 494, 383, 494, 528, 856, 540, 621, 267, 585, 602, 2339, 269, 1703, 568, 3274, 1100, 824, 835, 31891, 4367, 547, 519, 2898, 30908, 540, 519, 1686, 540, 20569, 602, 835, 666, 9108, 4363, 547, 1053, 269, 2859, 982, 602, 267, 717, 2129, 879, 781, 5133, 568, 24253, 569, 2518, 269, 634, 2296, 7160, 568, 811, 982, 1175, 513, 8144, 281, 519, 2961, 334, 3960, 529, 543, 519, 2278, 723, 32524, 547, 12172, 543, 4228, 519, 960, 543, 547, 1331, 519, 4967, 31360, 689, 519, 3312, 3943, 7160, 1701, 383, 494, 383, 494, 32354, 23052, 19213, 454, 257, 294, 2129, 879, 6941, 267, 2864, 982, 22281, 338, 269, 22419, 786, 581, 1134, 1606, 5703, 676, 519, 2278, 781, 1416, 538, 4259, 519, 6626, 7214, 2796, 602, 11303, 606, 2856, 610, 513, 1268, 269, 22252, 894, 543, 18398, 693, 519, 1482, 942, 1547, 1547, 1547, 519, 1433, 19262, 513, 2647, 5304, 1701, 383, 494, 383, 494, 298, 3317, 731, 645, 269, 645, 1251, 267, 3047, 7070, 3778, 454, 257, 23850, 5097, 609, 519, 2875, 543, 2489, 5467, 538, 2247, 1547, 1547, 1547, 713, 1547, 1547, 1547, 8098, 4275, 29087, 11741, 543, 13181, 1547, 1547, 1547, 2272, 540, 519, 1686, 540, 20569, 26350, 519, 3007, 540, 5640, 607, 1134, 269, 898, 7319, 12923, 1312, 607, 513, 13801, 4367, 547, 519, 1641, 543, 607, 606, 4612, 633, 1557, 593, 930, 540, 922, 1292, 4798, 1701, 383, 494, 383, 494, 298, 3317, 996, 13177, 267, 1772, 529, 454, 1607, 1433, 568, 676, 2484, 519, 1655, 1686, 540, 20569, 2139, 269, 898, 5956, 609, 519, 16380, 543, 7475, 609, 18626, 20847, 543, 6676, 23033, 9582, 269, 28792, 717, 2129, 879, 849, 5654, 693, 519, 2038, 6436, 540, 519, 5250, 540, 519, 1158, 543, 1287, 7575, 547, 10952, 9840, 936, 10239, 267, 15455, 267, 519, 24627, 267, 22747, 267, 543, 9979, 540, 3618, 1686, 602, 840, 31039, 519, 2520, 5505, 543, 27563, 540, 519, 3735, 22733, 543, 13524, 2540, 269, 2991, 7234, 519, 3735, 13524, 10601, 28051, 540, 6436, 827, 519, 6127, 540, 2242, 538, 519, 3618, 267, 646, 20147, 609, 606, 2272, 540, 14206, 2540, 20569, 781, 3621, 4838, 563, 296, 16305, 781, 4224, 2594, 568, 519, 1587, 540, 811, 982, 1614, 5479, 1296, 540, 17027, 3157, 269, 634, 1533, 28815, 2789, 14501, 540, 18626, 12620, 2747, 1282, 519, 20167, 626, 18152, 10979, 6520, 267, 543, 519, 2063, 27224, 1427, 8972, 689, 19578, 513, 6071, 630, 613, 10999, 6340, 264, 12964, 8536, 1296, 3516, 269, 13405, 547, 602, 267, 19421, 540, 15798, 3357, 543, 4682, 267, 6028, 3297, 14680, 15135, 609, 3638, 8093, 5638, 269, 700, 2313, 5755, 2220, 10102, 267, 30644, 561, 6210, 976, 267, 1490, 4176, 30520, 267, 11999, 782, 12320, 658, 23617, 267, 3504, 20711, 1206, 267, 543, 27726, 2776, 322, 3711, 6929, 7823, 26797, 782, 2451, 741, 1665, 269, 769, 19578, 781, 24959, 12815, 267, 31722, 18722, 3947, 721, 606, 909, 3562, 15082, 543, 1134, 26455, 2272, 540, 519, 1533, 781, 5318, 17027, 1686, 689, 519, 2776, 322, 3711, 6929, 998, 519, 1439, 540, 519, 4279, 10979, 6520, 563, 4517, 3205, 3217, 721, 593, 513, 3460, 18807, 883, 942, 547, 2263, 19578, 781, 4224, 7146, 1606, 539, 2939, 2594, 269, 769, 519, 11397, 2250, 267, 22300, 19578, 729, 4988, 609, 13719, 15798, 282, 598, 26448, 7733, 25577, 538, 2127, 3564, 519, 18626, 22260, 282, 543, 513, 2647, 3099, 540, 2831, 11478, 267, 1519, 15958, 31788, 267, 7882, 1054, 267, 1660, 330, 3404, 267, 9649, 581, 11232, 267, 4342, 601, 267, 543, 9649, 1793, 1054, 563, 763, 4527, 540, 3425, 666, 581, 14360, 1394, 547, 519, 19232, 334, 268, 24465, 8884, 267, 476, 280, 267, 4335, 547, 476, 278, 267, 4335, 1296, 3516, 269, 19578, 538, 19232, 32223, 942, 4810, 3875, 9381, 10750, 543, 13719, 7286, 5054, 269, 7216, 538, 519, 2776, 322, 3711, 6929, 267, 19578, 729, 851, 540, 3504, 7823, 26797, 538, 799, 25342, 543, 824, 7725, 941, 4646, 1134, 2630, 519, 3618, 781, 2627, 563, 763, 15113, 543, 23898, 540, 519, 8316, 4486, 324, 3557, 616, 711, 2479, 331, 8463, 950, 9763, 689, 519, 5133, 540, 27230, 942, 269, 15788, 267, 19578, 781, 27230, 6241, 5638, 606, 9058, 7004, 936, 811, 982, 1614, 5479, 1296, 269, 31722, 18722, 781, 1527, 2224, 569, 11609, 4320, 2488, 513, 3102, 543, 3015, 5619, 540, 519, 1533, 781, 7415, 17027, 2250, 563, 2690, 5553, 267, 5333, 814, 1279, 1044, 519, 1158, 779, 6574, 9174, 26148, 2197, 269, 4706, 25299, 616, 519, 2518, 4154, 3044, 267, 17028, 7458, 676, 19216, 267, 543, 922, 3094, 655, 1136, 4525, 1142, 2709, 2189, 512, 8463, 2833, 267, 689, 519, 24996, 540, 645, 867, 324, 14513, 547, 519, 10874, 787, 4967, 540, 519, 10753, 790, 9503, 269, 4014, 18812, 3099, 267, 2916, 267, 543, 519, 5578, 540, 519, 3094, 655, 6033, 616, 1898, 538, 1818, 1434, 9174, 267, 519, 5748, 540, 513, 9174, 779, 1915, 568, 519, 3037, 538, 799, 922, 18683, 616, 6738, 269, 5808, 1223, 1732, 3391, 721, 998, 519, 2078, 1063, 519, 3943, 2244, 543, 519, 9174, 982, 513, 2520, 6048, 267, 2576, 945, 7184, 17358, 519, 2257, 3297, 519, 3037, 286, 9373, 10196, 8176, 7671, 601, 563, 1103, 8092, 543, 29879, 267, 7671, 601, 3217, 3988, 593, 513, 4663, 540, 519, 3943, 3094, 655, 1136, 4525, 547, 9414, 875, 519, 3037, 267, 5817, 5127, 13702, 267, 8323, 267, 543, 2890, 30873, 3337, 519, 7209, 540, 513, 9174, 269, 634, 1433, 779, 12964, 11271, 1142, 1445, 538, 3178, 593, 513, 1114, 3148, 267, 1519, 519, 10753, 790, 9503, 267, 1325, 338, 864, 267, 26990, 1495, 344, 267, 19598, 27158, 267, 3038, 775, 267, 519, 10910, 20110, 928, 14860, 267, 543, 645, 867, 324, 14513, 267, 547, 2263, 519 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

[ 1355, 543, 1866, 3413, 12787, 1312, 7013, 543, 7187, 8280, 7371, 12742, 269, 6419, 2095, 568, 5087, 1189, 267, 1818, 7187, 8280, 7371, 8879, 3676, 267, 17611, 269, 932, 565, 5028, 543, 519, 3171, 951, 8338, 269, 3345, 1606, 1926, 21571, 3604, 538, 2470, 941, 4922, 4767, 1282, 713, 1974, 540, 1977, 2067, 1686, 3408, 543, 12319, 269, 901, 1932, 1131, 723, 6462, 4521, 5459, 779, 8280, 7371, 8879, 3604, 23350, 269, 8832, 21571, 1230, 11717, 759, 1231, 616, 20202, 543, 2760, 3819, 4625, 267, 7013, 21571, 759, 1231, 616, 4628, 15018, 543, 1875, 3613, 1157, 344, 630, 19817, 1023, 543, 546, 2459, 1513, 1070, 1813, 547, 513, 2582, 2168, 3114, 6125, 682, 325, 628, 663, 630, 333, 2180, 9984, 337, 12915, 663, 4433, 1926, 264, 3017, 282, 713, 568, 1419, 5532, 547, 519, 1351, 2723, 529, 1198, 543, 3177, 2417, 1489, 585, 4521, 5459, 779, 6419, 3069, 1282, 713, 1974, 540, 7920, 2941, 531, 1673, 2459, 541, 6080, 1646, 563, 1692, 713, 5129, 883, 4521, 5459, 779, 1390, 6602, 540, 519, 968, 303, 663, 2438, 31515, 3069, 892, 6923, 5205, 563, 4263, 519, 942, 540, 3627, 8725, 779, 8313, 267, 7917, 4521, 5459, 729, 2324, 607, 519, 28018, 528, 29731, 538, 5279, 540, 4509, 3703, 6413, 4559, 1472, 519, 1158, 269, 3571, 13327, 320, 16831, 1137, 5795, 1864, 519, 3255, 2877, 547, 7747, 519, 1585, 2068, 3270, 538, 824, 2477, 269, 589, 1455, 2631, 7664, 729, 782, 602, 646, 2877, 547, 9305, 519, 8795, 4234, 6421, 543, 1279, 6421, 547, 7187, 21571, 543, 7013, 21571, 2068, 3270, 269, 1809, 972, 941, 1346, 7422, 646, 1500, 602, 4769, 1406, 1246, 519, 20337, 3562, 1790, 1961, 2095, 3270, 10567, 676, 519, 2916, 20173, 3069, 4805, 267, 865, 646, 1131, 723, 3144, 891, 3255, 547, 9305, 519, 3652, 602, 10787, 611, 599, 779, 960, 22466, 3823, 513, 2009, 2078, 1063, 1978, 3676, 543, 519, 3618, 779, 6419, 4806, 269, 7102, 7851, 602, 941, 3812, 607, 513, 1267, 540, 10787, 611, 599, 779, 6436, 941, 5612, 10858, 547, 4521, 5459, 779, 7422, 267, 538, 1880, 3823, 519, 5615, 540, 26601, 5028, 543, 8611, 2068, 3270, 2687, 547, 1010, 3069, 563, 763, 1739, 568, 513, 4159, 540, 4521, 5459, 779, 6855, 6329, 4786, 267, 607, 621, 729, 8385, 3370, 630, 320, 3787, 1769, 543, 10169, 968, 325, 690, 4445, 25257, 609, 513, 4786, 540, 519, 3618, 779, 6419, 4610, 3069, 607, 621, 568, 4867, 17814, 269, 634, 10486, 585, 891, 3270, 616, 6654, 563, 8489, 553, 693, 1101, 1250, 6898, 693, 2053, 8604, 23019, 267, 543, 1360, 1454, 3069, 1759, 267, 519, 16726, 540, 4521, 5459, 779, 4786, 547, 519, 3618, 779, 11275, 1143, 4786, 782, 904, 971, 4145, 269, 1548, 2798, 856, 519, 1249, 602, 4521, 5459, 779, 3069, 568, 513, 1463, 1267, 540, 10787, 611, 599, 779, 960, 568, 519, 16726, 540, 519, 1079, 5036, 540, 5248, 1149, 630, 6518, 1152, 5594, 1689, 609, 942, 1070, 538, 1880, 741, 512, 893, 338, 543, 31393, 630, 5471, 11136, 1670, 2474, 2356, 4294, 547, 3046, 6248, 3515, 1040, 901, 6645, 721, 646, 1759, 1010, 17455, 2438, 31515, 7869, 593, 10787, 611, 599, 779, 4031, 540, 11275, 334, 3887, 10431, 640, 585, 519, 4541, 3618, 267, 543, 519, 5248, 1149, 4786, 713, 3069, 13087, 7047, 20802, 547, 3132, 1759, 593, 519, 6419, 15393, 18063, 563, 19177, 11904, 902, 540, 519, 3047, 779, 6419, 2361, 267, 2250, 543, 1459, 1820, 902, 630, 1492, 9510, 568, 538, 519, 5580, 2451, 1040, 8074, 519, 2078, 1063, 4287, 543, 568, 665, 6050, 538, 5580, 2451, 3239, 282, 519, 2539, 1318, 3239, 568, 513, 14805, 566, 540, 1346, 3345, 547, 3162, 568, 665, 6050, 269, 1452, 18613, 4521, 5459, 779, 6855, 568, 665, 6050, 14745, 563, 25187, 5459, 779, 4786, 568, 4843, 1934, 1210, 513, 4023, 547, 4057, 4528, 540, 519, 4786, 602, 729, 1336, 538, 5907, 1106, 269, 589, 1454, 811, 1850, 1043, 543, 24669, 4528, 540, 713, 4786, 729, 3812, 676, 513, 1390, 23507, 337, 543, 1246, 518, 540, 4521, 5459, 779, 960, 267, 16362, 543, 17030, 4115, 7917, 5261, 21634, 7219, 269, 634, 1739, 616, 4521, 5459, 779, 4786, 10268, 11105, 547, 21634, 7219, 779, 4786, 912, 293, 601, 7219, 779, 4786, 18995, 4521, 5459, 779, 568, 665, 6050, 454, 5415, 593, 713, 3069, 786, 581, 5941, 593, 1776, 2985, 563, 1103, 519, 29291, 267, 1294, 606, 1383, 540, 835, 540, 4521, 5459, 779, 3370, 3594, 593, 713, 1888, 593, 1776, 2985, 269, 0, 296, 723, 11540, 827, 519, 3390, 540, 17096, 543, 10677, 1876, 269, 1773, 698, 14705, 779, 1764, 538, 2069, 568, 547, 2569, 2875, 1603, 547, 11049, 3079, 540, 1603, 269, 3509, 2053, 267, 1053, 616, 15458, 593, 519, 4214, 540, 17096, 543, 602, 779, 1946, 621, 4386, 563, 4002, 4864, 476, 1240, 267, 476, 1001, 275, 267, 693, 519, 5303, 11627, 725, 543, 16677, 698, 9609, 10554, 693, 674, 637, 7224, 3557, 267, 594, 786, 1459, 518, 513, 16968, 827, 519, 11925, 282, 11925, 602, 513, 26393, 543, 594, 723, 6035, 2094, 476, 1220, 277, 269, 1358, 723, 606, 1764, 267, 693, 2547, 607, 4080, 676, 519, 1053, 543, 676, 938, 840, 543, 2022, 2389, 3949, 563, 22033, 593, 519, 1357, 568, 1863, 585, 4896, 547, 946, 269, 2334, 779, 1018, 594, 4076, 4862, 1053, 2161, 689, 942, 547, 942, 269, 898, 568, 5266, 2653, 547, 3181, 6064, 602, 7242, 676, 7234, 17082, 779, 2924, 896, 10677, 1876, 563, 1432, 779, 811, 4101, 568, 4543, 12200, 2697, 602, 1482, 6240, 281, 649, 917, 972, 779, 513, 513, 10677, 1876, 269, 1284, 917, 972, 779, 606, 9868, 547, 602, 1876, 1572, 4023, 946, 269, 1548, 568, 811, 2352, 568, 547, 3313, 2436, 938, 2932, 13352, 1369, 519, 4214, 540, 4023, 946, 16638, 519, 2376, 5620, 5441, 5584, 832, 28161, 7913, 623, 29521, 29845, 12448, 932, 578, 267, 808, 6185, 1421, 11828, 713, 1360, 3390, 269, 29550, 543, 12200, 723, 1044, 647, 539, 585, 1519, 10677, 539, 1570, 538, 552, 9113, 12883, 267, 585, 25718, 7044, 689, 4670, 547, 3059, 3898, 630, 10813, 6369, 4465, 602, 835, 264, 543, 585, 7857, 1944, 2835, 269, 1306, 519, 2376, 4967, 267, 972, 616, 1896, 2188, 10470, 2015, 538, 8159, 2436, 513, 946, 13054, 4023, 946, 267, 1519, 519, 3483, 543, 1826, 540, 946, 267, 519, 2179, 540, 946, 543, 519, 1761, 1764, 25718, 1131, 723, 593, 519, 2344, 269, 3509, 29550, 25058, 7270, 547, 21528, 12200, 630, 663, 1053, 264, 3313, 4023, 946, 630, 5408, 552, 3052, 269, 519, 14645, 13068, 766, 4741, 779, 6744, 4289, 1916, 1607, 1281, 6318, 513, 2243, 594, 4076, 6659, 1354, 281, 12582, 1406, 10677, 1876, 581, 4957, 547, 2232, 519, 1007, 2081, 1344, 568, 1500, 2139, 286, 9701, 333, 1406, 7044, 267, 607, 3059, 1344, 267, 581, 11720, 539, 8335, 286, 9701, 10677, 1876, 581, 4957, 547, 1118, 621, 4443, 585, 7855, 547, 946, 10677, 539, 1344, 538, 519, 4690, 540, 2417, 532, 1702, 286, 594, 2015, 621, 513, 1390, 5360, 2939, 952, 2576, 3096, 1018, 594, 4076, 2813, 630, 527, 779, 1869, 513, 4686, 12136, 267, 1498, 32656, 594, 1131, 899, 11760, 618, 267, 865, 1866, 666, 1265, 543, 946, 621, 267, 855, 1745, 1100, 17185, 547, 29677, 1310, 2576, 945, 1031, 1018, 594, 2813, 563, 25898, 594, 1745, 8335, 952, 602, 2576, 729, 711, 606, 19829, 267, 855, 513, 18294, 602, 1500, 2724, 689, 1250, 960, 286, 31598, 16927, 8910, 2503, 602, 18294, 547, 1683, 803, 930, 13180, 267, 602, 1259, 649, 1223, 1312, 2671, 538, 519, 7443, 1500, 269, 2859, 11932, 267, 1498, 267, 1250, 960, 267, 1250, 1913, 267, 1018, 594, 4076, 2919, 267, 814, 711, 1044, 2919, 538, 10072, 269, 594, 723, 11542, 593, 519, 17525, 540, 23766, 547, 1205, 1141, 594, 993, 2221, 269, 1924, 267, 594, 993, 6126, 547, 2671, 543, 948, 1866, 1451, 563, 1103, 519, 2376, 267, 1684, 4841, 5620, 14645, 547, 741, 13574, 11872, 267, 18238, 320, 28828, 345, 26564, 519, 7440, 605, 543, 598, 585, 1053, 26539, 741, 1362, 4967, 269, 634, 1808, 6161, 729, 602, 1053, 941, 14202, 532, 519, 4967, 5196, 7270, 543, 267, 538, 930, 2665, 267, 1625, 1636, 532, 547, 6133, 873, 563, 5575, 267, 1058, 1053, 723, 513, 10677, 538, 741, 1378, 4967, 286, 25999, 2336, 10743, 685, 4967, 616, 10677, 539, 676, 519, 1053, 543, 1053, 1058, 581, 2111, 547, 798, 4376, 789, 1616, 609, 873, 267, 1519, 6133, 873, 630, 24392, 4993, 1876, 2306, 602, 10363, 264, 610, 2022, 873, 593, 513, 3896, 269, 2991, 782, 267, 950, 1053, 1491, 4967, 267, 789, 2461, 4946, 741, 12496, 540, 1018, 741, 16929, 1459, 538, 5049, 269, 901, 568, 3020, 2436, 519, 1053, 5299, 689, 513, 12200, 2173, 1897, 3177, 7291, 610, 2436, 1053, 1711, 543, 7291, 519, 4967, 9003, 689, 15872, 610, 824, 14245, 269, 1656, 4967, 18189, 1125, 1018, 1053, 4862, 267, 865, 789, 666, 946, 873, 547, 1353, 267, 547, 1353, 609, 1866, 538, 519, 1362, 543, 547, 948, 1053, 945, 1705, 711, 7390, 1362, 563, 3383, 267, 1946, 519, 535, 1380, 286, 20513, 3494, 602, 519, 4967, 1053, 1491, 1282, 1362, 616, 1759, 593, 16929, 685, 7214, 3959, 269, 2334, 7214, 3959, 568, 519, 12200, 2818, 685, 538, 11665, 6881, 540, 1382, 630, 27271, 264, 610, 824, 1344, 602, 519, 12200, 2818, 723, 2919, 936, 942, 543, 1419, 693, 1390, 4674, 543, 13258, 269, 1809, 1577, 779, 4983, 602, 1448, 811, 5702, 269, 4107, 12200, 1705, 711, 1711, 713, 1702, 10446, 1700, 16269, 2813, 621, 676, 968, 9227, 593, 519, 17525, 540, 23766, 892, 538, 741, 4610, 543, 2679, 593, 1346, 23766, 685, 1382, 543, 1702, 269, 4014, 519, 16929, 1459, 741, 968, 339, 820, 892, 593, 519, 1702, 543, 519, 12200, 779, 6881, 568, 3976, 10677, 762, 11305, 9728, 539, 543, 3407, 267, 602, 3085, 1406, 1611, 602, 519, 1053, 3112, 10677, 741, 968, 339, 820, 892, 593, 519, 1344, 269, 3962, 1367, 779, 7664, 540, 519, 1344, 814, 1871, 7146, 10677, 1876, 14998, 602, 1871, 547, 581, 6870, 563, 1607, 12651, 513, 3677, 3390, 267, 1498, 267, 519, 3390, 540, 968, 32474, 892, 538, 2489, 543, 519, 10677, 1876, 538, 1880, 269, 769, 2069, 267, 649, 2611, 12311, 4765, 547, 519, 10206, 602, 1702, 29084, 9003, 1369, 519, 1625, 1613, 540, 519, 14357, 269, 6056, 827, 621, 267, 1498, 269, 4340, 547, 5616, 267, 972, 616, 5176, 476, 9873, 2929, 2835, 630, 663, 621, 4566, 547, 7857, 1125, 782, 540, 873, 1040, 1306, 540, 4864, 476, 1001, 271, 267, 5616, 814, 7857, 1242, 5111, 476, 1321, 2929, 269, 2334, 1281, 711, 1331, 824, 1568, 267, 971, 607, 9263, 24595, 4930, 2139, 538, 1957, 543, 5907, 3898, 269, 898, 779, 7543, 585, 1022, 835, 12200, 4759, 547, 723, 17117, 936, 1022, 1713, 851, 540, 602, 269, 769, 1249, 267, 602, 779, 519, 2601, 602, 3450, 1344, 543, 3059, 7924, 568, 865, 1271, 32717, 779, 711, 1152, 2348, 930, 1702, 602, 779, 1271, 267, 621, 779, 8449, 1271, 547, 581, 2111, 547, 1265, 543, 9691, 6268, 519, 1344, 602, 779, 2139, 10876, 563, 7197, 540, 721, 538, 2362, 2069, 4001, 3297, 6806, 9885, 269, 1284, 4283, 519, 4928, 543, 519, 3450, 543, 1565, 602, 4386, 3297, 602, 7450, 568, 513, 5728, 1063, 519, 4116, 543, 519, 1053, 538, 602, 1576, 269, 1879, 1053, 9096, 602, 1576, 267, 789, 616, 547, 10836, 609, 3152, 1702, 982, 950, 789, 9411, 269, 1656, 594, 4126, 602, 779, 3020, 269, 30785, 4879, 666, 948, 12200, 3313, 2436, 602, 814, 7018, 563, 21953, 1569, 547, 1344, 814, 4957, 543, 865, 267, 1932, 267, 1590, 12200, 779, 1909, 269, 634, 973, 2787, 543, 590, 7095, 1505, 540, 15819, 865, 2442, 1282, 24198, 685, 942, 729, 1759, 593, 519, 2856, 602, 24198, 1185, 968, 1348, 782, 519, 2835, 892, 543, 607, 646, 4843, 1010, 610, 2218, 646, 20402, 1010, 1053, 547, 2327, 602, 789, 941, 968, 1326, 1154, 621, 2223, 14356, 1317, 519, 1053, 22821, 1406, 968, 1348, 782, 519, 2835, 1848, 3767, 267, 1053, 723, 1569, 547, 519, 2835, 543, 1569, 547, 513, 2647, 3099, 540, 3059, 2200, 29931, 323, 1043, 543, 1875, 29931, 323, 1043, 269, 1306, 2029, 5170, 547, 2087, 267, 1053, 786, 581, 2111, 547, 946, 741, 1591, 11436, 547, 1569, 2484, 811, 2200, 982, 519, 12200, 269, 20513, 779, 1909, 1590, 1689, 547, 835, 540, 21528, 1053, 6218, 543, 4383, 602, 1344, 267, 538, 1840, 547, 8429, 593, 519, 1883, 2035 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

[ 519, 1788, 786, 581, 17808, 267, 971, 607, 513, 3860, 1523, 13170, 585, 513, 6725, 5859, 269, 11947, 2775, 519, 1439, 540, 513, 5123, 610, 3942, 269, 2560, 20128, 2775, 513, 2101, 2680, 610, 5838, 762, 269, 2560, 10312, 593, 18644, 3853, 543, 1883, 2164, 563, 1692, 798, 596, 1544, 513, 1788, 15415, 888, 11073, 1467, 707, 1788, 5618, 267, 1519, 3853, 267, 942, 18134, 267, 543, 29444, 269, 2560, 5903, 856, 782, 540, 519, 3268, 596, 991, 547, 2347, 707, 1788, 269, 2560, 6480, 1493, 875, 1454, 942, 1142, 1900, 786, 1491, 547, 1628, 856, 707, 15415, 269, 2560, 10934, 856, 29444, 543, 5311, 540, 3268, 269, 2560, 8571, 707, 15415, 269, 2560, 9523, 621, 609, 8639, 21457, 3688, 7498, 1432, 568, 1788, 1272, 4783, 888, 1432, 568, 513, 5741, 5020, 18888, 286, 634, 1788, 1272, 4783, 568, 513, 476, 275, 9912, 5943, 2966, 547, 948, 1788, 9946, 3391, 741, 3785, 6707, 689, 1376, 547, 9096, 269, 634, 3483, 540, 519, 1788, 1272, 4783, 568, 547, 1711, 606, 2653, 547, 1246, 5943, 547, 3391, 3785, 563, 1432, 568, 1788, 1272, 4783, 609, 1383, 888, 763, 5741, 5020, 18888, 5161, 540, 2185, 1292, 11775, 998, 799, 519, 5741, 15440, 543, 1010, 2319, 2119, 547, 3035, 519, 6859, 602, 519, 1788, 3294, 5036, 269, 634, 2185, 11775, 602, 1665, 519, 1272, 540, 519, 1788, 616, 281, 17748, 1315, 1376, 267, 4058, 267, 11056, 1315, 6388, 543, 19479, 563, 1432, 2306, 513, 1434, 1788, 9614, 888, 2414, 581, 513, 5963, 1390, 1788, 9614, 267, 596, 1590, 581, 513, 7580, 1870, 7649, 4628, 642, 6479, 538, 10721, 1967, 2443, 543, 581, 2111, 547, 5066, 609, 17149, 22303, 269, 2560, 3502, 1152, 798, 789, 14892, 3785, 1369, 9165, 267, 789, 616, 18177, 267, 7580, 1870, 4891, 4628, 642, 6479, 538, 10721, 1967, 563, 1692, 798, 594, 1205, 856, 540, 513, 1788, 888, 306, 11691, 1100, 798, 779, 543, 1810, 685, 1206, 2710, 2995, 519, 1268, 596, 3580, 1205, 1394, 547, 873, 269, 2560, 1684, 1413, 693, 519, 2462, 4605, 269, 2560, 1684, 5031, 519, 1871, 540, 707, 960, 543, 540, 707, 942, 269, 2560, 1684, 581, 7682, 633, 543, 8746, 269, 2560, 1684, 4584, 707, 12959, 269, 2560, 5213, 1406, 627, 710, 827, 2348, 1932, 1454, 960, 269, 2560, 5213, 1406, 2285, 968, 527, 779, 711, 538, 1250, 4305, 6609, 892, 607, 513, 2601, 547, 20549, 606, 7084, 21457, 3688, 2507, 31220, 1432, 616, 519, 476, 276, 5933, 540, 513, 1788, 888, 14946, 539, 676, 519, 5741, 5004, 4659, 630, 303, 11085, 1070, 519, 2947, 11775, 540, 1788, 2359, 1331, 17748, 543, 22612, 267, 4058, 267, 11056, 267, 2773, 270, 3000, 13501, 267, 543, 1788, 2673, 563, 1432, 568, 513, 2241, 1788, 1544, 888, 288, 1788, 1544, 267, 849, 1634, 607, 513, 1788, 2359, 1544, 267, 568, 513, 3561, 602, 3568, 513, 1788, 9165, 543, 6662, 269, 898, 568, 1034, 4122, 6719, 538, 519, 1106, 540, 513, 575, 656, 339, 5750, 547, 1118, 621, 2653, 547, 5968, 547, 8639, 563, 1692, 798, 596, 6430, 593, 513, 1788, 888, 2026, 596, 7832, 593, 519, 5542, 1184, 267, 1118, 2386, 547, 2015, 2947, 1883, 2798, 281, 28444, 675, 602, 519, 1788, 20383, 609, 707, 10721, 4640, 269, 2560, 10576, 513, 1788, 22299, 269, 2560, 18430, 606, 10721, 610, 2825, 4879, 269, 2560, 8178, 707, 2200, 269, 2560, 10576, 707, 6724, 585, 1967, 563, 1692, 798, 596, 1291, 513, 3811, 1788, 888, 763, 1739, 2947, 3268, 786, 1291, 547, 513, 10888, 1788, 2319, 2529, 307, 7968, 21450, 1107, 19372, 519, 12243, 269, 634, 1101, 1900, 568, 547, 3715, 519, 1788, 2359, 2319, 269, 2560, 5254, 7968, 29375, 302, 1107, 11120, 4106, 622, 13229, 9442, 269, 2560, 5254, 7968, 8946, 12767, 1107, 11559, 21664, 269, 2560, 5254, 7968, 674, 21788, 1107, 20504, 543, 28509, 10819, 269, 2560, 5254, 7968, 674, 25893, 1107, 23779, 543, 25166, 731, 563, 1432, 616, 519, 3670, 11775, 540, 1788, 2359, 888, 4322, 1331, 8600, 1688, 9248, 267, 2866, 519, 1439, 3755, 267, 4259, 909, 1489, 2319, 267, 1603, 1788, 1867, 267, 10442, 519, 1788, 267, 22151, 547, 519, 7255, 2319, 543, 24905, 1782, 519, 1788, 269, 634, 3670, 25686, 2203, 568, 2966, 593, 519, 4341, 1107, 2048, 20459, 1354, 596, 957, 17483, 1692, 798, 596, 4383, 513, 1788, 689, 1376, 547, 9096, 888, 23945, 2659, 5741, 26368, 707, 1788, 269, 2560, 16294, 3853, 543, 6859, 269, 2560, 16294, 4247, 269, 2560, 12706, 707, 2319, 269, 2560, 2142, 3222, 540, 1022, 1788, 6146, 619, 269, 2560, 8073, 513, 15415, 269, 2560, 5192, 5955, 269, 2560, 17797, 707, 1544, 9935, 563, 1432, 568, 519, 1655, 1259, 547, 4383, 513, 1788, 888, 1015, 18467, 5741, 2494, 6162, 13773, 5029, 1242, 13729, 6788, 2038, 269, 3245, 519, 4098, 267, 596, 1058, 1577, 707, 2319, 610, 5520, 917, 1018, 707, 6788, 585, 519, 1788, 616, 269, 2560, 16294, 9165, 269, 2560, 7427, 513, 10959, 269, 2560, 5623, 3356, 1996, 513, 1788, 1544, 269, 2560, 5590, 942, 7182, 269, 2560, 20821, 4749, 269, 2560, 3763, 606, 2500, 25937, 1062, 269, 2560, 31478, 569, 15518, 622, 4247, 21457, 3688, 7498, 1432, 616, 519, 476, 275, 11775, 540, 1788, 2359, 888, 2467, 616, 476, 275, 1788, 1272, 4783, 11775, 281, 22612, 267, 4058, 267, 11056, 267, 543, 19479, 563, 1432, 1058, 513, 1788, 1544, 1331, 888, 763, 1788, 1544, 3335, 6227, 3584, 1031, 538, 519, 1788, 11056, 1062, 543, 2882, 519, 1739, 1292, 3344, 281, 9928, 2100, 2359, 10611, 3225, 790, 906, 2359, 2529, 3832, 7191, 2359, 12171, 514, 2574, 2359, 269, 26660, 2359, 269, 4910, 1830, 2359, 269, 1805, 820, 14516, 2359, 1107, 1715, 689, 6751, 289, 10498, 476, 276, 5861, 2174, 684, 10716, 2359, 21457, 3688, 2507 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

[ 267, 610, 2592, 269, 3503, 519, 1543, 2047, 269, 0, 3848, 476, 278, 281, 8693, 268, 5715, 340, 1027, 26066, 18171, 1841, 543, 29675, 13786, 525, 692, 7072, 692, 20458, 1689, 814, 1831, 513, 10296, 2518, 3390, 602, 13514, 1713, 6937, 547, 1585, 3344, 540, 938, 1604, 543, 2486, 269, 2290, 971, 3463, 568, 519, 2799, 4908, 543, 8515, 540, 3665, 4365, 2621, 267, 799, 723, 4049, 4539, 585, 9381, 8134, 269, 1452, 8134, 616, 3810, 11327, 543, 3407, 1949, 602, 1489, 3309, 7286, 1272, 543, 1683, 3875, 2640, 547, 3425, 267, 1519, 1426, 11865, 267, 7088, 4027, 267, 543, 2686, 2418, 269, 1717, 267, 789, 616, 849, 1851, 519, 1034, 7925, 547, 2916, 1689, 1813, 547, 741, 1970, 15038, 543, 4598, 547, 4262, 1377, 4473, 267, 7088, 1147, 2471, 267, 543, 824, 9381, 10898, 269, 901, 3184, 12538, 883, 519, 5222, 540, 2916, 14001, 9381, 10898, 543, 7710, 1761, 9542, 2994, 547, 3986, 6043, 538, 891, 2565, 1949, 780, 8139, 26066, 23270, 338, 543, 4256, 7896, 692, 10870, 770, 531, 8134, 7854, 513, 3376, 2039, 540, 9249, 267, 1519, 1609, 340, 2456, 267, 6070, 23047, 1127, 267, 694, 698, 14993, 803, 27595, 267, 14147, 18625, 267, 543, 22600, 17311, 7733, 269, 1358, 616, 6353, 676, 2189, 2825, 2175, 1141, 15195, 543, 6070, 4248, 3575, 267, 2870, 513, 6422, 543, 11327, 1062, 602, 7028, 10731, 2030, 543, 3662, 1272, 269, 26066, 8134, 1683, 1898, 5370, 543, 2533, 267, 1519, 21996, 2504, 267, 1216, 19288, 267, 3327, 3524, 652, 1674, 267, 11761, 1852, 267, 543, 16351, 3255, 269, 769, 1840, 267, 789, 4196, 607, 1271, 10889, 619, 1996, 2067, 12469, 267, 4227, 5951, 1648, 1282, 15420, 543, 31364, 9381, 2950, 689, 14700, 543, 11761, 780, 19808, 9711, 540, 8693, 268, 5715, 340, 1027, 26066, 18171, 1841, 692, 763, 2810, 4908, 543, 10335, 540, 2916, 5829, 10898, 10460, 2101, 2591, 547, 9381, 8134, 262, 2702, 547, 1599, 3927, 543, 30396, 269, 7256, 1377, 4473, 267, 3361, 5097, 676, 13621, 4672, 9212, 543, 22260, 543, 8143, 7269, 540, 5836, 7297, 267, 666, 1267, 538, 32132, 18956, 267, 7226, 12159, 267, 543, 2799, 6360, 1981, 269, 6684, 267, 811, 7928, 543, 7920, 15420, 666, 1291, 547, 14042, 7088, 1147, 2471, 267, 14124, 6329, 267, 543, 1164, 12798, 602, 22652, 9381, 11761, 543, 7519, 8733, 3252, 269, 5047, 267, 2242, 538, 13247, 3270, 543, 2837, 20816, 949, 1860, 1216, 2298, 267, 24952, 2157, 267, 543, 8770, 8244, 267, 2417, 2566, 532, 9381, 7103, 543, 19249, 2146, 3889, 780, 3849, 2194, 532, 547, 26066, 18171, 1841, 281, 12694, 543, 19662, 692, 11693, 519, 3395, 6937, 547, 9381, 8134, 689, 2916, 1689, 267, 621, 568, 2629, 547, 2263, 543, 2936, 2500, 9542, 3800, 602, 3895, 6043, 543, 7413, 2942, 5222, 269, 2368, 2009, 4485, 1331, 1384, 265, 2494, 3042, 4825, 805, 281, 1635, 3850, 5032, 6050, 547, 22109, 2244, 1189, 998, 9709, 882, 6327, 540, 1646, 2476, 689, 7925, 10851, 267, 7307, 18956, 2488, 513, 14942, 4640, 585, 8383, 908, 8375, 15798, 1247, 8497, 1898, 8134, 269, 4014, 20833, 4101, 543, 14427, 267, 7307, 18956, 3091, 1279, 3856, 3435, 585, 7863, 1312, 1514, 543, 8733, 1949, 563, 265, 7177, 10298, 281, 10434, 4702, 3681, 899, 23772, 8712, 267, 682, 557, 525, 267, 543, 2736, 31662, 666, 2149, 2919, 2127, 543, 2569, 11761, 4220, 269, 1717, 267, 789, 1419, 15936, 609, 2067, 3157, 543, 949, 14207, 9381, 5117, 1072, 676, 28142, 11159, 3350, 543, 22212, 3289, 25233, 6384, 269, 4475, 267, 6297, 7156, 1058, 581, 2016, 547, 8939, 3617, 6753, 543, 6272, 602, 2057, 8801, 2360, 593, 7404, 9249, 563, 265, 26954, 26198, 281, 23488, 22626, 8697, 610, 28811, 9381, 9249, 267, 971, 607, 19126, 543, 23690, 3122, 18625, 267, 666, 948, 11574, 930, 540, 519, 8801, 5222, 2404, 609, 4262, 1377, 4473, 543, 7088, 1147, 2471, 269, 1280, 3236, 267, 17468, 6070, 332, 1513, 1127, 666, 17280, 5951, 2962, 267, 15972, 21439, 267, 543, 2226, 1216, 2298, 267, 7551, 7393, 2949, 9381, 6043, 563, 265, 26291, 543, 8889, 15753, 3311, 281, 21988, 6388, 540, 13261, 2359, 2853, 3340, 7347, 10350, 10850, 543, 4507, 602, 7520, 5698, 2066, 1114, 9922, 267, 8639, 267, 543, 8901, 10253, 269, 15043, 2312, 4808, 267, 6042, 267, 543, 15314, 693, 2199, 267, 6237, 267, 543, 3084, 2157, 666, 2327, 20291, 3646, 2509, 8236, 4264, 4093, 585, 1312, 14227, 543, 8733, 1949, 780, 6962, 692, 1103, 3932, 267, 2916, 14001, 9381, 10898, 2099, 1713, 2591, 585, 9381, 8134, 5001, 267, 26089, 14849, 3007, 543, 2962, 269, 3414, 5483, 3375, 6194, 267, 7580, 4058, 267, 543, 5499, 2359, 4485, 267, 972, 568, 9645, 9165, 585, 2679, 14388, 543, 14762, 9381, 5054, 602, 3136, 547, 5838, 4105, 5370, 543, 2533, 585, 2104, 5481, 269, 0, 2080, 568, 606, 1349, 689, 513, 2546, 281, 834, 3918, 26177, 1923, 8222, 281, 1015, 269, 20385, 4510, 270, 2181, 21646, 1708, 20542, 269, 30033, 273, 18192, 272, 454, 20428, 281, 7025, 1656, 3047, 7070, 267, 7025, 3163, 27511, 281, 29675, 282, 8693, 1689, 282, 26066, 10898, 282, 26066, 8134, 282, 23977, 1676, 1464, 454, 15697, 281, 476, 277, 5239, 476, 1708, 274, 630, 1556, 281, 7367, 281, 7367, 595, 12239, 994, 10870, 770, 531, 8134, 1683, 513, 2647, 2039, 540, 5370, 543, 2533, 585, 519, 2729, 540, 1480, 7919, 543, 12748, 2249, 269, 11048, 267, 2916, 14001, 3665, 2621, 2014, 13778, 5222, 593, 891, 2127, 267, 1128, 580, 908, 513, 5786, 540, 12748, 5370, 543, 2533, 267, 9552, 540, 5989, 267, 543, 2530, 540, 1480, 2729, 269, 9747, 267, 713, 2689, 11567, 519, 5222, 540, 2916, 14001, 9381, 10898, 543, 9542, 6114, 269, 589, 9836, 2689, 1505, 729, 1031, 547, 2232, 519, 6859, 540, 713, 3332, 2689, 269, 634, 1292, 1239, 2959, 941, 3194, 19835, 267, 5616, 10104, 267, 2480, 22455, 267, 5680, 540, 3163, 267, 543, 32253, 12240, 269, 589, 2698, 540, 476, 2412, 1382, 4930, 630, 1001, 273, 268, 1708, 274, 264, 941, 5697, 1210, 519, 2776, 31084, 27561, 27294, 585, 3590, 1738, 17352, 543, 26426, 268, 26046, 630, 11266, 3041, 7246, 476, 1708, 271, 264, 544, 6231, 2237, 606, 3573, 543, 2143, 1576, 1770, 538, 513, 1837, 585, 2852, 1053, 1644, 547, 519, 1349, 1657, 267, 2519, 593, 13316, 1315, 6820, 654, 9879, 1299, 8693, 7827, 1315, 16661, 6987, 23767, 269, 1684, 711, 1175, 1592, 2035, 267, 855, 1020, 1142, 835, 538, 1469, 1354, 3001, 547, 519, 1985, 267, 607, 649, 4225, 3178, 540, 1620, 543, 3102, 3408, 540, 519, 1641, 2339, 936, 4560, 563, 2521, 547, 1384, 268, 3550, 538, 3829, 3795, 540, 519, 2035, 563, 268, 2422, 513, 2239, 2219, 4538, 2511, 563, 268, 4045, 519, 1888, 609, 1699, 3466, 267, 1483, 3734, 1806, 267, 610, 2487, 2090, 563, 2710, 711, 1331, 513, 2140, 267, 2606, 2453, 610, 2592, 269, 3503, 519, 1543, 2047, 269, 0, 6092, 5149, 281, 18650, 17020, 853, 4958, 4221, 20113, 585, 16200, 518, 4053, 3380, 543, 17434, 338, 692, 22706, 5426, 281, 5664, 3427, 630, 277, 628, 910, 476, 279, 628, 6103, 2020, 7072, 912, 1103, 713, 1576, 1770, 267, 649, 3513, 2263, 4187, 6512, 15198, 5751, 267, 799, 616, 1390, 2081, 547, 7794, 707, 6091, 543, 2087, 519, 8112, 540, 707, 10549, 269, 1452, 5751, 946, 13412, 13164, 1572, 4187, 13164, 267, 3246, 1114, 2157, 540, 8082, 4470, 593, 875, 1454, 596, 12701, 873, 269, 1635, 6220, 891, 2241, 2943, 2500, 5322, 883, 707, 3232, 6296, 267, 596, 3513, 1831, 6793, 267, 811, 8465, 267, 543, 1447, 12155, 547, 7063, 256, 1284, 3513, 849, 1865, 835, 1271, 4745, 538, 1880, 1107, 519, 12597, 1107, 543, 922, 1292, 5885, 3889, 267, 971, 607, 28587, 267, 1519, 519, 31443, 32097, 30301, 630, 10157, 299, 6393, 8893, 476, 272, 281, 1548, 3657, 700, 580, 14613, 543, 4208, 3657, 1358, 12830, 888, 299, 580, 14613, 616, 9157, 267, 32248, 13164, 8220, 7633, 1927, 693, 10549, 269, 4256, 3119, 1599, 568, 547, 2061, 7050, 5163, 1063, 1346, 4448, 7633, 269, 901, 2337, 2226, 6617, 1282, 1585, 2238, 899, 4881, 267, 17259, 267, 610, 1256, 1175, 7555, 1869, 269, 1703, 616, 1896, 28587, 1472, 1142, 540, 938, 2101, 10549, 282, 930, 1683, 24364, 6617, 1247, 1866, 3970, 2427, 1811, 20517, 269, 2290, 1383, 568, 519, 631, 12710, 267, 4092, 3330, 519, 12597, 4745, 269, 898, 1568, 7258, 1614, 824, 1883, 28587, 547, 1832, 707, 12597, 7123, 950, 3001, 610, 4657, 4287, 3533, 780, 8893, 476, 273, 281, 4197, 918, 26234, 22845, 543, 5871, 20070, 3753, 454, 7312, 12597, 568, 1500, 909, 540, 2185, 1292, 2694, 281, 3185, 584, 630, 628, 662, 5642, 1070, 512, 28992, 630, 3333, 514, 14752, 1070, 1273, 7578, 630, 330, 928, 1815, 777, 1070, 543, 20162, 269, 15316, 28844, 267, 6091, 267, 543, 28587, 3295, 891, 7633, 547, 10110, 8710, 267, 24644, 5322, 267, 543, 7520, 5347, 19755, 543, 2786, 2287, 3527, 269, 10251, 267, 1813, 547, 1164, 1764, 610, 6335, 532, 4229, 267, 19704, 666, 3006, 7985, 3441, 267, 3056, 547, 11213, 2175, 610, 7063, 269, 1975, 23230, 547, 519, 631, 12710, 2049, 950, 519, 30301, 4991, 21401, 3564, 922, 3339, 2039, 540, 5163, 267, 1419, 4611, 689, 1463, 9514, 338, 610, 26101, 2244, 902, 780, 8893, 476, 274, 281, 11588, 540, 4635, 18650, 645, 1343, 585, 853, 4958, 4221, 543, 16237, 28517, 454, 4910, 2700, 13164, 2709, 3875, 5383, 936, 2757, 1863, 12035, 1317, 789, 1450, 16795, 4679, 538, 7411, 676, 14577, 519, 2179, 540, 3196, 2838, 547, 12701, 873, 269, 3958, 267, 2094, 789, 9260, 1985, 547, 4986, 267, 24317, 543, 13936, 873, 568, 11212, 2653, 269, 1879, 1210, 4187, 13164, 585, 15198, 543, 14304, 267, 1445, 593, 3500, 267, 6417, 5322, 2864, 982, 2656, 267, 28478, 5652, 3283, 269, 11408, 3314, 547, 3636, 909, 1354, 4358, 1022, 3635, 20786, 267, 23679, 998, 1769, 28491, 2238, 899, 6972, 610, 28185, 3101, 780, 8893, 476, 275, 281, 12726, 18650, 17020, 853, 4958, 2583, 585, 2659, 6181, 338, 543, 918, 928, 525, 454, 2080, 616, 1614, 19444, 7888, 4187, 6512, 5751, 13389, 707, 7953, 543, 19704, 1384, 272, 269, 1530, 730, 8621, 11415, 4354, 331, 281, 23063, 1524, 609, 1312, 7953, 6905, 4464, 267, 16833, 519, 4187, 6512, 1472, 519, 11084, 540, 707, 3952, 267, 3180, 5196, 2901, 1439, 540, 519, 6512, 267, 1287, 18846, 707, 19704, 2509, 707, 9221, 7444, 269, 9524, 1079, 5036, 540, 4557, 10221, 1431, 563, 273, 269, 30557, 31177, 2806, 9134, 281, 31230, 519, 6512, 1472, 1312, 17094, 956, 267, 1796, 7381, 609, 3952, 12048, 2914, 5954, 6306, 267, 6521, 2597, 5196, 835, 1850, 267, 1287, 12740, 519, 6587, 1850, 21286, 1996, 519, 4187, 2394, 6252, 609, 519, 6989, 269, 13159, 1079, 5036, 540, 19939, 1065, 338, 829, 2427, 563, 274, 269, 12910, 1400, 918, 26234, 22362, 281, 24344, 569, 17063, 835, 1439, 540, 519, 4187, 6512, 547, 513, 19335, 1843, 2630, 22765, 4463, 267, 8520, 519, 824, 1439, 1472, 707, 21721, 267, 3068, 2476, 689, 519, 19671, 1448, 267, 8831, 707, 1850, 18807, 1996, 519, 4187, 267, 4509, 24933, 3346, 2429, 269, 19244, 8938, 2053, 1354, 15175, 5011, 780, 6962, 912, 3528, 10128, 4187, 6512, 15198, 5751, 883, 707, 2834, 15904, 13467, 267, 596, 666, 3986, 4887, 4222, 267, 2333, 4745, 10688, 267, 543, 6175, 1761, 4220, 540, 7063, 899, 838, 11712, 631, 12710, 338, 269, 5457, 2141, 547, 5077, 609, 4648, 899, 2168, 16293, 952, 7680, 10770, 1928, 610, 9636, 267, 2523, 1310, 10913, 5473, 8813, 610, 5222, 269, 2060, 11428, 543, 11007, 267, 4166, 2614, 267, 596, 3513, 2972, 4824, 8516, 2157, 543, 2949, 8171, 256, 0, 2080, 568, 606, 1349, 689, 513, 2546, 912, 257, 10157, 299, 28864, 1923, 667, 749, 6229, 267, 17834, 8447, 10657, 454, 10157, 299, 28864, 538, 667, 749, 6229, 267, 17834, 269, 1403, 2576, 4249, 5026, 610, 22851, 538, 824, 2168, 2534, 267, 4743, 602, 6727, 968, 16647, 892, 538, 741, 12597, 5932, 513, 2603, 540, 4160, 281, 9894, 594, 3614, 675, 1250, 631, 12710, 286, 1772, 621, 1713, 286, 1215, 1279, 786, 621, 1491, 547, 9156, 286, 4024, 594, 723, 547, 18385, 2285, 909, 519, 1919, 594, 2648, 3257, 286, 2311, 16547, 525, 8447, 10657, 538, 667, 749, 6229, 267, 17834, 267, 782, 540, 938, 2168, 543, 17163, 16293, 616, 6131, 547, 3478, 938, 2550, 1394, 547, 519, 2238, 789, 2648, 1034, 269, 2755, 649, 666, 1406, 267, 649, 666, 948, 2327, 596, 1205, 1394, 547, 4743, 899, 3054, 609, 2922, 267, 2500, 5574, 269, 8447, 3797, 814, 1044, 3254, 942, 543 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

[ 1715, 589, 2513, 819, 281, 654, 9950, 11065, 269, 13660, 4425, 529, 543, 519, 4563, 4317, 20227, 2223, 676, 27722, 16910, 31151, 630, 4462, 542, 634, 1670, 12054, 2435, 543, 12052, 2160, 1040, 634, 17404, 779, 6609, 5205, 912, 763, 3109, 1514, 22258, 7153, 689, 519, 8194, 540, 25608, 547, 2307, 1018, 513, 968, 2908, 20552, 892, 1131, 2154, 538, 1977, 2486, 269, 898, 2968, 606, 1271, 2245, 540, 3909, 2219, 543, 4187, 267, 4543, 547, 1711, 606, 4244, 1857, 12106, 540, 16934, 9739, 543, 3246, 519, 7214, 24598, 25751, 540, 519, 3540, 2924, 3350, 269, 901, 2245, 814, 1044, 12517, 15763, 267, 5103, 922, 10373, 9371, 563, 1103, 713, 14262, 960, 267, 27722, 16910, 31151, 6257, 519, 2038, 1686, 540, 519, 3109, 1514, 22258, 689, 922, 13524, 10601, 15713, 547, 922, 2673, 7681, 538, 519, 14206, 2540, 609, 654, 269, 661, 269, 645, 269, 13660, 4425, 529, 269, 1261, 3091, 513, 1007, 5133, 593, 2413, 8567, 543, 519, 3540, 2924, 5736, 676, 30431, 908, 519, 2245, 540, 1514, 5126, 18381, 543, 17933, 602, 3366, 547, 9410, 13162, 3751, 12789, 563, 296, 729, 20938, 547, 4309, 7905, 3627, 31864, 974, 779, 1007, 4320, 267, 5950, 4505, 713, 1032, 267, 634, 5375, 8865, 585, 3933, 690, 18081, 3683, 12443, 326, 18081, 267, 538, 799, 267, 609, 693, 2547, 3368, 606, 3750, 15483, 539, 693, 519, 4947, 3656, 733, 3949, 936, 21657, 13904, 7365, 267, 3627, 7710, 519, 1739, 2055, 912, 1432, 568, 519, 5375, 2245, 779, 2013, 585, 1395, 690, 18081, 936, 21657, 18081, 267, 543, 568, 602, 2013, 1869, 20310, 538, 513, 2022, 21524, 1716, 543, 2518, 1242, 1158, 286, 3657, 972, 18481, 8903, 4128, 547, 6001, 5375, 4031, 1996, 21657, 18081, 267, 543, 568, 713, 513, 14909, 3609, 2016, 519, 2518, 3466, 2476, 689, 21657, 18081, 543, 2016, 519, 1514, 267, 2804, 267, 543, 5626, 2175, 602, 1419, 7390, 922, 2259, 286, 2107, 267, 616, 972, 18481, 8903, 4128, 267, 18949, 539, 538, 851, 689, 519, 2245, 267, 547, 2226, 543, 1256, 7794, 891, 4550, 1790, 8432, 326, 18081, 3800, 267, 538, 851, 607, 606, 4674, 547, 26558, 523, 519, 2518, 27757, 540, 713, 2259, 888, 296, 4076, 1152, 1185, 513, 4960, 547, 16145, 693, 519, 1433, 855, 689, 602, 2656, 11571, 267, 621, 5526, 602, 519, 3119, 1175, 5874, 4359, 538, 519, 1433, 607, 513, 3140, 2339, 585, 1395, 690, 18081, 936, 21657, 18081, 9305, 547, 968, 329, 2002, 15366, 5092, 538, 1453, 892, 543, 4180, 968, 7474, 2367, 543, 2021, 616, 5701, 609, 3160, 15683, 543, 2463, 1369, 519, 6469, 12106, 2223, 519, 8545, 7954, 540, 799, 267, 519, 1433, 6811, 267, 968, 1952, 15533, 547, 10085, 19631, 1482, 20967, 15185, 267, 945, 723, 6591, 2810, 2924, 538, 519, 4639, 538, 2487, 1296, 267, 1519, 519, 1318, 547, 19533, 543, 547, 2385, 538, 930, 4025, 3034, 763, 1433, 568, 30140, 543, 3638, 569, 2143, 543, 3102, 267, 609, 11271, 1519, 968, 5804, 12443, 326, 18081, 547, 3933, 690, 18081, 538, 17194, 2223, 968, 763, 8865, 585, 3933, 690, 18081, 3683, 12443, 326, 18081, 538, 519, 5783, 12429, 338, 2223, 968, 28139, 326, 18081, 538, 519, 16572, 540, 3557, 543, 5783, 538, 519, 3689, 7085, 3317, 1756, 2223, 968, 28139, 326, 13904, 31401, 538, 7216, 17557, 1143, 2223, 543, 968, 763, 27565, 21654, 8865, 18830, 12443, 326, 18081, 3034, 1103, 5412, 267, 10228, 2160, 4964, 786, 5305, 968, 1805, 768, 532, 27098, 281, 6554, 14780, 1749, 593, 16241, 18877, 892, 676, 26573, 589, 269, 19159, 630, 299, 600, 541, 2160, 264, 543, 19626, 808, 269, 6022, 1067, 630, 3519, 322, 867, 807, 2160, 1040, 634, 17404, 779, 6609, 5205, 912, 4407, 5640, 267, 2923, 267, 543, 519, 1857, 949, 581, 3222, 540, 513, 1906, 9058, 2229, 986, 1749, 593, 3909, 2950, 267, 971, 607, 519, 772, 2529, 269, 5313, 986, 573, 593, 519, 25032, 6424, 2103, 538, 476, 1960, 274, 267, 1360, 1906, 1004, 616, 3222, 540, 519, 9165, 543, 4908, 609, 799, 891, 986, 1749, 2049, 269, 11374, 519, 7147, 1533, 986, 573, 593, 519, 27284, 626, 5783, 540, 700, 2660, 6377, 29513, 538, 476, 1220, 279, 267, 4589, 26573, 19159, 543, 19626, 6022, 1067, 4956, 547, 1353, 891, 986, 1749, 538, 519, 14919, 1700, 337, 1430, 982, 607, 1367, 2665, 1700, 2421, 10655, 1239, 593, 986, 1749, 602, 723, 3144, 1747, 936, 519, 2063, 3670, 5756, 269, 1358, 1705, 713, 1312, 547, 3715, 585, 519, 1101, 942, 606, 21287, 540, 986, 3660, 2516, 267, 543, 547, 3313, 952, 1022, 3270, 1223, 581, 4857, 269, 4634, 789, 941, 14281, 693, 741, 4681, 282, 972, 941, 2484, 811, 986, 1749, 982, 4397, 267, 543, 519, 5318, 5354, 540, 873, 1185, 7018, 2094, 476, 1960, 271, 267, 10452, 513, 8325, 267, 3592, 12825, 2333, 269, 1548, 1223, 2272, 585, 713, 6727, 543, 10565, 2333, 538, 1533, 1852, 540, 12102, 10764, 888, 1103, 23566, 532, 27098, 267, 19159, 543, 6022, 1067, 8044, 602, 519, 2799, 946, 540, 891, 1164, 16151, 543, 3665, 2010, 540, 11268, 14687, 547, 9450, 3919, 543, 7341, 676, 17837, 540, 23349, 10764, 269, 14640, 2275, 738, 3906, 1683, 7580, 968, 325, 29707, 892, 602, 5581, 1761, 7526, 610, 2042, 538, 513, 2016, 2146, 607, 20244, 5906, 267, 543, 4020, 6386, 602, 2721, 593, 11475, 540, 1126, 543, 4638, 6057, 267, 2634, 31290, 267, 543, 1256, 2527, 11980, 269, 634, 6098, 1895, 568, 1500, 547, 2408, 811, 5906, 982, 621, 568, 267, 4611, 538, 606, 936, 516, 9146, 676, 8128, 269, 19159, 543, 6022, 1067, 2263, 519, 6286, 540, 15398, 1533, 1065, 1833, 543, 1852, 540, 12102, 10764, 538, 606, 5051, 18371, 267, 2518, 1242, 1158, 269, 2311, 513, 942, 540, 6385, 13346, 22097, 1369, 5375, 7239, 713, 1433, 1309, 1903, 1996, 1533, 1852, 540, 12790, 2516, 543, 3091, 5813, 827, 1946, 519, 6114, 547, 891, 2516, 568, 1419, 865, 5114, 776, 563, 1103, 5181, 267, 30296, 5950, 968, 13750, 543, 13780, 5174, 5648, 538, 9031, 281, 15332, 5771, 543, 8232, 892, 12995, 676, 23011, 667, 269, 7043, 630, 292, 6141, 12309, 2160, 1070, 717, 584, 9618, 25659, 19453, 630, 17206, 540, 5507, 1070, 962, 684, 553, 6341, 611, 630, 17206, 540, 17659, 5112, 267, 5177, 1070, 543, 27950, 13669, 15318, 630, 17206, 540, 3162, 600, 17980, 267, 5177, 1040, 634, 17404, 779, 6609, 5205, 912, 9824, 580, 542, 267, 5208, 267, 543, 14940, 616, 782, 23091, 538, 519, 1686, 540, 9031, 269, 634, 1303, 3402, 618, 540, 15354, 4690, 267, 10512, 1242, 998, 5208, 267, 6803, 3961, 267, 543, 1379, 998, 20422, 20816, 814, 2813, 513, 1062, 540, 2048, 10461, 9107, 7817, 16117, 10200, 901, 1433, 3091, 13354, 267, 8978, 626, 267, 543, 23499, 5784, 593, 519, 1909, 540, 3961, 6214, 538, 519, 1646, 540, 9031, 563, 289, 2590, 532, 1927, 5380, 593, 519, 6384, 540, 1533, 20671, 267, 519, 1433, 2488, 4030, 883, 4207, 3157, 540, 3084, 16311, 566, 799, 616, 2629, 569, 4299, 676, 741, 2126, 538, 519, 1158, 2923, 267, 543, 676, 519, 6547, 789, 29360, 1369, 606, 5051, 2518, 2213, 1135, 640, 269, 898, 27180, 519, 6043, 540, 15354, 31794, 547, 2797, 543, 1514, 1689, 267, 543, 267, 538, 519, 1296, 1310, 15652, 267, 5654, 693, 519, 1764, 593, 2244, 3180, 902, 540, 2551, 4483, 269, 898, 4422, 593, 547, 1865, 3909, 9163, 543, 741, 1909, 538, 1312, 519, 4070, 540, 3084, 3961, 543, 538, 519, 1646, 540, 3392, 31791, 269, 634, 1433, 8711, 875, 14940, 543, 3961, 6214, 616, 606, 11972, 15262, 538, 9031, 328, 6214, 267, 543, 1946, 789, 616, 5051, 3532, 543, 9565, 563, 2304, 16367, 4015, 593, 513, 2039, 540, 5380, 593, 519, 6384, 540, 3961, 6214, 543, 519, 4182, 15581, 267, 713, 1433, 593, 9031, 786, 581, 513, 3730, 9295, 547, 3162, 7489, 15348, 267, 3162, 7489, 3778, 267, 543, 9099, 5525, 269 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

[ 538, 6989, 3966, 4827, 6941, 519, 834, 572, 520, 540, 519, 27890, 257, 6454, 538, 20765, 602, 649, 5433, 1310, 16459, 1016, 18134, 28339, 269, 3776, 855, 1206, 941, 12777, 811, 16119, 4448, 547, 519, 669, 817, 529, 540, 519, 1286, 267, 1818, 519, 1286, 1745, 13888, 518, 543, 17212, 1324, 519, 2566, 593, 519, 6989, 3966, 269, 2561, 30068, 267, 519, 2338, 8815, 609, 938, 834, 8117, 339, 30552, 334, 30882, 4415, 519, 1286, 1394, 593, 519, 2666, 267, 649, 2268, 519, 3845, 1063, 1079, 2798, 593, 519, 10160, 646, 454, 2414, 18082, 519, 10160, 4410, 781, 4452, 593, 519, 6989, 3966, 2483, 1862, 933, 2990, 513, 6989, 13544, 896, 519, 9920, 781, 2451, 3146, 541, 10160, 2173, 870, 30021, 269, 0, 4407, 17842, 9367, 616, 3006, 2656, 547, 28994, 756, 531, 1125, 2025, 5656, 547, 1118, 1259, 585, 21743, 1007, 7873, 657, 267, 1689, 568, 1419, 811, 12620, 6053, 533, 3166, 267, 607, 835, 666, 1294, 689, 519, 2592, 593, 519, 6821, 540, 519, 17842, 19964, 607, 851, 540, 922, 968, 16908, 593, 519, 25373, 892, 8858, 269, 1975, 13899, 676, 513, 2487, 11601, 540, 6337, 676, 594, 9366, 534, 918, 582, 6160, 5652, 267, 2895, 22999, 270, 31688, 19212, 18536, 595, 17026, 1231, 2036, 539, 998, 519, 21517, 685, 588, 2931, 547, 1711, 606, 8858, 6029, 17842, 8265, 10344, 779, 2540, 6040, 5072, 269, 1452, 6337, 1397, 519, 4720, 540, 519, 7944, 540, 962, 21789, 543, 10348, 563, 272, 269, 2296, 19366, 674, 15030, 269, 631, 1157, 548, 628, 11445, 924, 630, 7277, 280, 1700, 4572, 276, 264, 2879, 11474, 713, 17576, 269, 6736, 1210, 606, 818, 706, 748, 1804, 268, 8971, 8254, 609, 4439, 5652, 4837, 13807, 622, 2258, 2510, 267, 646, 10660, 1229, 519, 1523, 540, 8265, 10344, 5176, 1614, 5756, 1354, 621, 729, 31002, 607, 971, 563, 273, 269, 968, 1607, 568, 519, 4098, 540, 5201, 1934, 2223, 3081, 519, 1397, 779, 1225, 1807, 267, 18536, 595, 17026, 1231, 563, 274, 269, 4634, 538, 519, 476, 5197, 271, 338, 267, 519, 10348, 543, 962, 21789, 10167, 729, 524, 913, 1540, 5010, 2666, 269, 634, 22070, 7944, 24428, 17722, 11918, 625, 517, 779, 7802, 4558, 2394, 513, 3595, 538, 476, 6245, 276, 269, 30227, 16202, 517, 2879, 520, 3481, 909, 513, 3625, 540, 5656, 593, 962, 21789, 9335, 267, 3001, 1010, 6300, 1934, 676, 519, 4571, 268, 6642, 271, 338, 563, 275, 269, 634, 17842, 9335, 24020, 267, 513, 4990, 540, 7504, 1673, 22148, 840, 3613, 22901, 8364, 3028, 267, 9250, 593, 962, 21789, 9335, 538, 476, 6642, 276, 269, 968, 10144, 1175, 6410, 827, 11884, 9789, 516, 729, 1100, 1931, 593, 519, 10754, 267, 2731, 3034, 276, 269, 1635, 713, 1448, 267, 31167, 2023, 779, 4829, 1796, 693, 476, 6642, 962, 21789, 853, 269, 1185, 4957, 3946, 543, 14440, 24237, 717, 712, 26792, 267, 15604, 267, 543, 2274, 25977, 1185, 6410, 538, 563, 277, 269, 21238, 808, 269, 21942, 630, 6642, 277, 1700, 4198, 276, 264, 729, 12912, 519, 570, 12839, 779, 1101, 4013, 23031, 538, 476, 4572, 273, 269, 4014, 1010, 15752, 941, 547, 3561, 519, 27503, 18302, 1062, 267, 646, 538, 30541, 1836, 9676, 519, 1295, 583, 23706, 540, 8265, 1272, 538, 17842, 563, 278, 269, 623, 8491, 9897, 267, 606, 2333, 538, 10081, 6808, 267, 543, 519, 9642, 7504, 1673, 22148, 6174, 6825, 519, 14297, 2749, 1272, 693, 519, 4098, 540, 519, 4279, 12870, 563, 279, 269, 634, 1101, 26741, 10290, 779, 3099, 4558, 538, 4516, 3576, 936, 11918, 625, 517, 779, 2679, 538, 476, 4489, 273, 267, 1175, 5045, 540, 519, 7444, 9750, 16202, 517, 779, 1950, 563, 280, 269, 5295, 12904, 585, 519, 1631, 268, 2412, 4458, 6040, 3167, 8265, 8364, 1062, 1835, 1170, 29589, 539, 1657, 519, 10167, 563, 1015, 269, 2052, 13824, 740, 4291, 661, 10611, 269, 6519, 630, 6245, 280, 1700, 3192, 279, 264, 8929, 713, 6429, 540, 519, 962, 21789, 9335, 26864, 267, 513, 1857, 1606, 10628, 4603, 602, 4718, 519, 8265, 8118, 909, 547, 19516, 20379, 543, 4830, 21527, 585, 513, 1906, 4374, 538, 519, 28782, 1063, 476, 3192, 272, 543, 476, 3192, 276, 563, 1556, 269, 589, 555, 1941, 538, 16202, 517, 779, 2427, 267, 31167, 2023, 779, 2679, 30147, 7283, 6870, 676, 513, 16083, 602, 621, 2760, 581, 4421, 547, 519, 16202, 517, 1920, 1765, 327, 748, 539, 513, 1234, 527, 2006, 779, 855, 17477, 519, 3312, 6189, 689, 519, 476, 5197, 271, 338, 563, 1321, 269, 12866, 1296, 1310, 713, 8666, 729, 3144, 267, 538, 476, 3192, 278, 267, 519, 1101, 3942, 540, 519, 17842, 16202, 517, 10418, 8118, 269, 5565, 1296, 2663, 519, 14230, 540, 519, 16202, 517, 779, 1950, 729, 14324, 1524, 547, 1118, 1259, 585, 519, 7013, 3368, 540, 519, 7372, 10918, 8998, 563, 1724, 269, 17183, 18302, 1185, 6410, 11895, 538, 476, 4198, 275, 267, 2059, 609, 519, 8652, 3515, 563, 1691, 269, 634, 10381, 3766, 337, 831, 16538, 4478, 26741, 10290, 779, 1131, 5555, 581, 17468, 547, 922, 2490, 6361, 7308, 10601, 1413, 538, 519, 476, 1960, 271, 338, 563, 1428, 269, 634, 15588, 7615, 24804, 2679, 693, 476, 273, 10348, 853, 269, 661, 1421, 799, 729, 3710, 538, 476, 1220, 274, 267, 25601, 519, 11599, 7813, 540, 27292, 3655, 9809, 1228, 689, 476, 4489, 271, 563, 2108, 16908, 593, 519, 25373, 281, 476, 1911, 13012, 540, 9335, 22878, 538, 17842, 892, 8255, 547, 2904, 476, 1001, 275, 693, 519, 4975, 540, 17842, 19964, 267, 476, 14838, 1975, 611, 2088, 681, 323, 1421, 476, 275, 1626, 268, 4375, 278, 268, 5881, 278, 279, 267, 8731, 15193, 28022, 270, 1105, 1161, 269, 0, 1432, 2052, 1411, 1684, 2060, 589, 11683, 769, 9119, 888, 12385, 24136, 568, 513, 10409, 2534, 609, 513, 2312, 543, 5730, 2792, 540, 2495, 267, 538, 799, 621, 2141, 814, 513, 22979, 540, 519, 6169, 269, 9119, 2488, 513, 2647, 3099, 540, 1983, 267, 2059, 609, 4282, 543, 3069, 540, 2259, 602, 949, 581, 1031, 547, 11654, 10927, 960, 267, 1382, 267, 3450, 538, 6281, 3506, 267, 543, 1585, 2010, 540, 6080, 563, 12385, 24136, 630, 289, 6993, 269, 23422, 264, 12385, 24136, 630, 289, 2529, 269, 23422, 264, 12385, 24136, 2598, 4740, 5811, 630, 289, 2529, 269, 23422, 264, 32417, 630, 289, 6993, 269, 23422, 264, 32417, 630, 289, 2529, 269, 23422, 994, 263, 2414, 1382, 891, 10643, 543, 811, 979, 547, 281, 630, 30999, 1575, 1049, 31326, 18361, 264, 543, 1294, 519, 1644, 1820, 2200, 538, 519, 19396, 7896, 7732, 1916, 6097, 547, 519, 454, 13233, 5948, 540, 30793, 2471, 543, 14146, 619, 630, 2793, 4753, 264, 14400, 476, 1001, 272, 6428, 776, 454, 20776, 3272, 267, 4098, 23269, 585, 20021, 609, 513, 25328, 540, 8551, 610, 513, 25328, 454, 1993, 3163, 4110, 538, 9119, 1376, 693, 827, 1269, 7871, 267, 280, 1691, 563, 2690, 811, 1344, 593, 23269, 4945, 1934, 454, 10112, 1539, 725, 616, 1271, 547, 2263, 1317, 1082, 2709, 2875, 2818, 4721, 454, 663, 666, 2285, 596, 1569, 547, 824, 4648, 543, 741, 2833, 267, 1382, 2676, 935, 3685, 610, 13186, 3255, 267, 3318, 1646, 543, 1034, 454, 5814, 14688, 2816, 12240, 6993, 8434, 9119, 5980, 4139, 454, 8002, 340, 25106, 5948, 19556, 5948, 540, 3013, 2817, 7027, 540, 11334, 540, 9119, 306, 1539, 1214, 585, 11633, 1299, 11930, 9119, 454, 528, 13096, 629, 1162, 5291, 2517, 4178, 269, 716, 340, 25106, 719, 14006, 2593, 270, 10674, 2517, 4178, 269, 716, 4231, 2593, 270, 10674, 2517, 3249, 619, 6983, 553, 716, 3820, 10774, 727, 27651, 6983, 325, 332, 286, 338, 924, 16182, 284, 28434, 280, 10674, 2517, 4178, 8807, 514, 2574, 329, 984, 23810, 2593, 270, 10674, 2517, 4178, 19544, 580, 22363, 329, 10849, 2593, 270, 10674, 2517, 4178, 12459, 10849, 842, 1335, 2292, 2593, 270, 10674, 2517, 4178, 269, 4118, 18191, 10849, 2593, 270, 19651, 21703, 286, 338, 924, 284, 4118, 261, 322, 660, 284, 639, 261, 333, 284, 1911, 1822, 10674, 2517, 4178, 269, 4118, 5035, 1881, 338, 3820, 11305, 270, 14142, 6983, 325, 332, 286, 338, 924, 16182, 284, 4572, 276, 10674, 2517, 4178, 269, 4118, 329, 10849, 3820, 10768, 10849, 286, 329, 984, 4289, 955, 268, 2412, 10674, 2517, 4178, 269, 810, 320, 3820, 270, 3249, 619, 270, 1633, 532, 269, 5684, 343, 454, 26222, 15789, 910, 9457, 454, 1993, 3163, 538, 9119, 543, 824, 1644, 3292, 17206, 540, 3345, 454, 293, 3271, 5866, 293, 3271, 5866, 9533, 2160, 293, 3271, 5866, 4139, 2160, 293, 3271, 5866, 3557, 2160, 17206, 540, 6239, 454, 293, 3271, 5866, 17206, 540, 8419, 17206, 540, 24543, 17206, 540, 3162, 8419, 17206, 540, 4639, 8419, 454, 13233, 15789, 1107, 9457, 540, 3163, 538, 9119, 543, 824, 1644, 3292, 17206, 540, 17665, 17206, 540, 11908, 454, 8448, 2200, 585, 10927, 1982, 1382, 10674, 2517, 4178, 3052, 571, 1091, 1041, 338, 2593, 270, 5291, 2517, 4178, 4877, 4394, 976, 2593, 270, 5291, 2517, 4178, 269, 1440, 4532, 17662, 516, 1613, 2593, 13045, 29791, 1677, 6167, 293, 5358, 454, 15648, 9736, 476, 1001, 273, 2160, 540, 3345, 8419, 272, 6167, 293, 20000, 1923, 12722, 6807, 267, 18919, 476, 27088, 2190, 1923, 25439, 281, 630, 3445, 275, 264, 476, 30663, 268, 1911, 271, 454, 23086, 1923, 17073, 1923, 21041, 1923, 22769, 11514, 1464, 6452, 7951, 725, 0, 268, 8682, 1790, 3326, 3215, 2428, 3529, 454, 268, 5900, 847, 633, 543, 1164, 1532, 3757, 4221, 454, 268, 21277, 806, 1804, 267, 6960, 267, 6653, 10808, 454, 268, 8682, 1922, 1068, 850, 282, 2030, 1079, 4054, 585, 1655, 2164, 454, 268, 700, 17999, 2428, 540, 782, 554, 1157, 1559, 454, 268, 717, 4900, 476, 2568, 262, 547, 476, 3199, 3299, 476, 2412, 262, 3262, 454, 268, 2098, 2158, 476, 276, 547, 476, 279, 454, 268, 2052, 1405, 6928, 547, 281, 31650, 267, 589, 313, 267, 11404, 267, 31254, 267, 28679, 267, 29255, 454, 313, 2158, 476, 276, 910, 476, 279, 454, 763, 26425, 321, 1046, 670, 1157, 800, 666, 581, 4397, 547, 1332, 538, 519, 10851, 3254, 538, 2681, 538, 519, 818, 321, 867, 599, 3820, 7997, 4786, 269, 26177, 30684, 454, 763, 26425, 321, 1046, 670, 1157, 800, 8813, 883, 519, 1739, 1826, 4433, 2567, 25326, 19029, 454, 2568, 262, 910, 476, 3199, 262, 4400, 454, 763, 26425, 321, 1046, 670, 1157, 800, 9428, 547, 581, 476, 2568, 262, 910, 476, 3199, 262, 3952, 538, 4463, 563, 763, 26425, 321, 1046, 670, 1157, 800, 814, 513, 3262, 540, 827, 476, 2412, 262, 693, 2407, 15657, 563, 1607, 3529, 9428, 693, 513, 3500, 2208, 2557, 269, 1496, 5415, 827, 713, 24358, 1607, 554, 1157, 800, 1281, 1134, 538, 2407, 3141, 563, 763, 26425, 321, 1046, 670, 1157, 800, 9428, 538, 15755, 267, 22279, 267, 10980, 27031, 267, 3138, 18081, 267, 5848, 267, 3638, 267, 22501, 267, 6632, 267, 10036, 11934, 563, 1607, 554, 1157, 800, 814, 24814, 267, 17031, 3337, 563, 288, 5065, 540, 5848, 5377, 4133, 543, 6360, 680, 1622, 540, 519, 2136, 2276, 267, 519, 26425, 321, 1046, 670, 1157, 800, 781, 3574, 568, 2182, 543, 2178, 267, 543, 922, 2428, 568, 17028, 7458, 585, 922, 29284, 269, 589, 9157, 543, 19756, 3529, 267, 621, 814, 513, 1272, 12732, 540, 476, 3199, 610, 811, 1296, 269, 19029, 6738, 689, 6079, 786, 7703, 1804, 6960, 6653, 10808, 538, 476, 1015, 268, 1321, 1296, 269, 634, 1804, 2428, 568, 513, 7320, 5172, 563, 763, 3762, 540, 519, 26425, 321, 1046, 670, 1157, 800, 616, 13881, 676, 13650, 543, 824, 26292, 1247, 519, 10808, 616, 10057, 676, 13650, 267, 7703, 267, 29372, 267, 17544, 267, 25277, 267, 13863, 332, 16218, 267, 3552, 21429, 267, 543, 824, 2831, 269, 21277, 806, 22060, 543, 5924, 14947, 267, 3976, 3246, 6484, 585, 10987, 538, 2038, 547, 3735, 5614, 563, 303, 4883, 2299, 7623, 267, 476, 276, 268, 280, 6978, 7410, 267, 476, 1015, 27324, 2190, 257, 1279, 267, 4158, 5835, 25984, 593, 1283, 563, 29209, 267, 24814, 267, 476, 272, 270, 275, 257, 5394, 8152, 330, 6227, 513, 2182, 267, 1769, 6960, 7387, 267, 476, 272, 476, 274, 270, 275, 27324, 273, 476, 272, 270, 273, 257, 609, 476, 275, 268, 277, 834, 1026, 338, 1701, 634, 1804, 17830, 568, 6653, 269, 28610, 538, 2887, 563, 2304, 10694, 267, 1164, 1532, 3757, 4221, 3529, 269, 700, 10105, 5848, 3037, 269, 717, 4900, 476, 2568, 262, 547, 476, 3199, 3299, 476, 2412, 262, 3262, 269, 4279, 7320, 1426, 2707, 609, 519, 10808, 1373, 10057, 676, 13650, 267, 7703, 267 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

[ 276, 17622, 896, 519, 8303, 15716, 267, 649, 616, 1869, 2469, 547, 1294, 2362, 5210, 269, 1717, 267, 789, 786, 711, 581, 607, 1164, 607, 538, 519, 10782, 2013, 7653, 267, 1141, 649, 10093, 1405, 7307, 547, 20818, 513, 3970, 269, 1656, 713, 1797, 711, 1152, 513, 7833, 8337, 538, 2230, 543, 942, 855, 849, 3665, 9259, 899, 1346, 649, 723, 2907, 14754, 269, 6270, 3697, 9259, 786, 581, 7133, 27597, 607, 1134, 267, 543, 519, 3510, 786, 22009, 609, 519, 3395, 8511, 3154, 5434, 269, 5272, 20870, 4110, 538, 519, 2518, 3328, 18922, 883, 28555, 3002, 30335, 543, 27597, 786, 581, 538, 585, 811, 7920, 267, 811, 7928, 543, 811, 10770, 3002, 30335, 269, 1452, 786, 849, 2014, 23967, 4352, 711, 899, 1346, 7133, 519, 11335, 2477, 267, 10255, 267, 7013, 5333, 610, 17577, 4799, 763, 7194, 540, 519, 14368, 1670, 25887, 1063, 476, 1001, 278, 543, 476, 1708, 273, 538, 27597, 5031, 519, 8515, 267, 4908, 543, 9962, 1858, 4988, 676, 519, 5906, 9259, 609, 606, 1764, 936, 519, 1514, 20300, 2534, 269, 769, 476, 1708, 273, 4805, 267, 476, 9873, 4365, 25887, 941, 9783, 267, 856, 540, 799, 2947, 941, 8943, 4414, 269, 681, 5699, 1614, 8536, 3767, 26511, 25887, 941, 9783, 856, 540, 799, 476, 4817, 8943, 4414, 269, 2311, 519, 1482, 942, 267, 519, 476, 1708, 272, 268, 1708, 273, 10980, 729, 513, 3476, 835, 267, 799, 14556, 1881, 689, 835, 3923, 547, 519, 824, 543, 5555, 4299, 3592, 782, 519, 2197, 781, 6694, 4525, 563, 15648, 9736, 1547, 2353, 2924, 11603, 0, 290, 809, 476, 272, 11013, 17436, 267, 4988, 267, 538, 513, 1507, 2179, 540, 14495, 2892, 1540, 1216, 2394, 26546, 2389, 2658, 269, 3371, 779, 875, 1279, 547, 3434, 17436, 593, 519, 23041, 1283, 4470, 593, 875, 789, 2461, 2759, 281, 476, 278, 547, 476, 280, 3764, 585, 476, 26528, 20878, 21100, 269, 476, 275, 547, 476, 277, 3764, 585, 17446, 563, 1692, 798, 596, 917, 950, 17436, 616, 23017, 888, 293, 650, 513, 1494, 609, 1175, 2614, 1216, 547, 3382, 519, 31577, 543, 3142, 621, 547, 513, 14974, 269, 5410, 519, 17436, 547, 519, 14495, 1216, 543, 3382, 519, 1494, 609, 513, 19984, 269, 2991, 476, 276, 3764, 267, 2638, 519, 17436, 676, 23578, 835, 540, 873, 609, 513, 23643, 269, 1403, 519, 512, 1149, 13472, 3362, 883, 519, 31577, 267, 1287, 789, 2461, 8737, 14495, 563, 7617, 3217, 3476, 547, 14974, 17436, 610, 12277, 888, 23777, 1227, 12277, 1491, 3476, 547, 3434, 982, 17436, 269, 1677, 1118, 2386, 519, 5388, 616, 8737, 693, 519, 1482, 942, 267, 2759, 519, 12277, 4130, 547, 3432, 741, 887, 8463, 2059, 563, 1692, 798, 596, 21352, 17436, 888, 7922, 534, 4221, 267, 610, 13148, 14495, 513, 10448, 585, 513, 1906, 3764, 538, 5667, 531, 1540, 1216, 267, 2571, 839, 17436, 1175, 2614, 547, 2196, 513, 17180, 998, 873, 267, 855, 3085, 1406, 3002, 519, 7740, 267, 865, 621, 3085, 1406, 7369, 741, 8137, 269, 20780, 513, 1494, 540, 1216, 547, 513, 12902, 14974, 269, 681, 20600, 519, 17436, 896, 3579, 4881, 1216, 543, 15237, 519, 25568, 1055, 267, 952, 1459, 563, 1692, 1279, 798, 17436, 1491, 547, 21352, 538, 17339, 888, 12671, 476, 1015, 3764, 306, 675, 256, 3212, 601, 519, 2961, 12783, 269, 9255, 538, 513, 1804, 14495, 6006, 1494, 540, 1216, 609, 2614, 1216, 547, 3382, 269, 4425, 559, 585, 827, 476, 1015, 3764, 2394, 4625, 23643, 13035, 563, 4692, 596, 22848, 809, 17436, 888, 2691, 5265, 11273, 267, 17436, 1058, 2611, 6505, 10538, 267, 1498, 741, 2681, 666, 28201, 10169, 950, 22848, 10541, 269, 3683, 322, 8504, 666, 849, 2014, 8770, 2530, 563, 3674, 621, 1434, 547, 14974, 17436, 888, 288, 281, 8786, 267, 11273, 17436, 616, 811, 14312, 267, 855, 596, 1869, 1205, 7899, 540, 5567, 689, 6151, 17436, 269, 18181, 267, 2523, 12675, 14495, 267, 1281, 2569, 519, 6171, 1543, 540, 5388, 269, 2560, 1717, 267, 585, 1034, 5388, 267, 2523, 1346, 3638, 538, 6171, 595, 267, 621, 779, 1655, 547, 1832, 8022, 547, 513, 5934, 563, 1692, 1279, 798, 17436, 543, 22282, 1491, 547, 14974, 888, 22517, 4979, 7935, 19233, 543, 2961, 12783, 454, 29493, 22282, 883, 476, 272, 20878, 1166, 648, 1206, 543, 20105, 17436, 883, 476, 272, 270, 279, 268, 547, 476, 272, 270, 275, 20878, 21100, 547, 14974, 519, 1079, 1927, 282, 3434, 585, 476, 276, 3764, 610, 2394, 5388, 616, 23643, 13035, 267, 28817, 12212, 563, 7617, 5388, 3434, 519, 16595, 888, 29662, 19233, 267, 28471, 31884, 267, 17436, 267, 3039, 10365, 267, 607, 32651, 267, 1148, 747, 10280, 267, 12277, 267, 1990, 1075, 577, 7236, 267, 536, 758, 669, 1195, 267, 543, 1082, 824, 5266, 19756, 5388, 9252, 1134, 269, 1948, 8967, 3019, 31738, 281, 1280, 14580, 3058, 543, 2848, 5446, 267, 596, 666, 3432, 909, 519, 1216, 14495, 1184, 676, 1210, 513, 1216, 15245, 610, 538, 513, 4837, 12877, 516, 343, 538, 519, 17196, 563, 1432, 3536, 1376, 1055, 538, 14495, 1216, 888, 2080, 779, 513, 26478, 685, 1325, 2006, 659, 5728, 865, 596, 3580, 2141, 3314, 281, 29641, 602, 1332, 1657, 2666, 630, 28369, 267, 17112, 267, 8970, 264, 1107, 1039, 547, 14495, 1216, 269, 29641, 602, 1332, 2630, 2666, 630, 10174, 5388, 267, 12277, 264, 1107, 1376, 1055, 538, 4411, 1216, 563, 1692, 1279, 1281, 621, 1491, 547, 21352, 17436, 538, 14495, 1216, 888, 9359, 513, 14036, 3966, 540, 1216, 547, 14974, 269, 3212, 601, 543, 20105, 519, 17436, 883, 476, 272, 270, 275, 20878, 21100, 593, 519, 9186, 630, 10972, 6782, 958, 1040, 4495, 519, 1216, 568, 14495, 267, 1039, 519, 17436, 543, 14974, 585, 476, 275, 547, 476, 276, 3764, 2394, 1175, 26546, 13035, 630, 14075, 518, 952, 596, 4782, 873, 547, 581, 811, 13035, 1916, 4692, 594, 21352, 17436, 538, 519, 17196, 888, 20278, 17436, 543, 1216, 538, 513, 476, 272, 268, 272, 270, 273, 268, 336, 339, 269, 17196, 1606, 12522, 8670, 269, 15147, 543, 17196, 593, 1164, 585, 476, 274, 268, 276, 3764, 610, 2394, 26546, 2389, 2658, 563, 3674, 621, 5488, 547, 14974, 610, 9252, 17436, 888, 23744, 6340, 267, 950, 5986, 5388, 267, 2848, 5446, 568, 30074, 547, 14495, 269, 6008, 3139, 5388, 2611, 5094, 689, 519, 3905, 1216, 267, 3850, 873, 547, 11677, 811, 5567, 563, 1692, 1279, 1281, 621, 1491, 547, 14974, 17436, 538, 17339, 888, 1103, 513, 14036, 3966, 267, 3142, 26185, 547, 513, 14974, 269, 5410, 519, 6967, 5820, 282, 2132, 547, 513, 14974, 269, 21079, 3002, 282, 15147, 543, 31652, 585, 476, 276, 268, 278, 3764, 610, 2394, 17436, 616, 13035, 563, 1692, 1279, 1281, 621, 1491, 585, 17436, 547, 21352, 888, 1103, 513, 1804, 1094, 1393, 3443, 610, 2620, 1236, 32576, 609, 513, 9395, 1922, 9231, 19984, 267, 1747, 519, 17436, 267, 1216, 267, 6070, 267, 543, 14723, 269, 20780, 519, 1216, 547, 513, 14974, 267, 1287, 3382, 519, 3443, 543, 2569, 519, 3002, 547, 5420, 1970, 269, 13648, 585, 476, 278, 547, 476, 279, 3764, 267, 2394, 519, 17436, 1175, 3914, 23643, 13035, 630, 18484, 1406, 1577, 873, 2490, 1660, 1506, 1916, 2710, 596, 3434, 17436, 1354, 8380, 538, 17339, 888, 9359, 676, 1094, 583, 2946, 532, 19637, 267, 13342, 267, 6148, 13767, 2044, 267, 1287, 4946, 519, 1216, 543, 10365, 267, 543, 31652, 532, 269, 5410, 519, 17436, 538, 519, 2063, 3368, 5662, 610, 865, 610, 950, 519, 10365, 616, 2673, 547, 13035, 269, 2334, 1259, 519, 17436, 786, 2097, 856, 11273, 855, 711, 1660, 1506, 269, 0, 16032, 11061, 918, 1080, 585, 8866, 630, 1721, 5272, 6520, 26695, 16631, 269, 11061, 269, 1452, 616, 519, 2679, 7161, 602, 948, 721, 2626, 2055, 827, 519, 1158, 1472, 721, 269, 1403, 707, 1126, 568, 6998, 267, 968, 3963, 1281, 513, 18962, 1011, 1712, 610, 968, 1692, 798, 3762, 1689, 2681, 9495, 1287, 596, 723, 513, 10196, 538, 519, 1818, 563, 8923, 948, 707, 1126, 2626, 891, 2055, 676, 10962, 873, 547, 519, 1158, 540, 7998, 563, 763, 1655, 1259, 547, 798, 602, 568, 676, 1210, 7998, 5036, 256, 11061, 5036, 616, 513, 8748, 1259, 547, 2263, 543, 1451, 1510, 621, 1373, 968, 321, 1681, 3034, 2252, 596, 8910, 899, 547, 1224, 519, 23138, 779, 3391, 827, 7998, 5036, 267, 602, 779, 1524, 2630, 563, 12749, 476, 279, 11061, 5036, 585, 8866, 454, 2171, 723, 1336, 1018, 649, 2015, 519, 1655, 5216, 7998, 5036, 585, 707, 10026, 543, 1647, 1153, 27070, 1453, 609, 513, 2898, 2039, 540, 7998, 5036, 563, 2252, 596, 8910, 899, 547, 4685, 4514, 609, 707, 3214, 609, 7998, 267, 649, 1336, 513, 1390, 4199, 585, 3450, 7998, 547, 3214, 936, 693, 267, 6314, 275, 330, 1749, 563, 27288, 3163, 1107, 4530, 570, 4209, 11061, 6997, 454, 18439, 2257, 519, 1259, 621, 568, 5497, 1107, 3946, 6823, 269, 2060, 519, 8187, 3163, 11061, 2978, 267, 707, 10026, 2875, 786, 2263, 13241, 538, 513, 1187, 543, 2189, 2081, 563, 4415, 936, 476, 2004, 6901, 3695, 782, 5686, 540, 2067, 9259, 267, 707, 1126, 786, 723, 1187, 585, 2395, 269, 8073, 513, 8511, 610, 1374, 513, 23419, 17689, 269, 1703, 568, 1945, 585, 1169, 1126, 563, 1607, 1305, 729, 2966, 676, 1483, 3744, 945, 917, 875, 547, 1491, 1950, 2035, 543, 2736, 873, 1524, 269, 1411, 4465, 1406, 723, 1022, 811, 19309, 24925, 2395, 609, 713, 7998, 1305, 1472, 563, 13425, 8244, 540, 519, 4530, 570, 4209, 11061, 6997, 593, 8835, 1934, 563, 3963, 1284, 11146, 898, 912, 268, 24956, 545, 2257, 6901, 454, 268, 14168, 547, 1224, 5528, 454, 268, 3683, 476, 2004, 1187, 6901, 454, 268, 17949, 762, 2257, 585, 6502, 476, 279, 268, 1321, 454, 312, 21822, 8582, 590, 4596, 14154, 7690, 11061, 5590, 454, 4504, 28558, 519, 1762, 8004, 538, 707, 1272, 547, 519, 13300, 540, 2257, 269, 634, 962, 21822, 8582, 590, 4596, 14154, 11061, 14173, 2982, 602, 6690, 666, 581, 3744, 267, 1932, 269, 2060, 2502, 543, 3860, 6901, 267, 596, 4465, 1406, 1205, 19252, 563, 1607, 6539, 568, 519, 3501, 3391, 547, 3695, 3114, 6547, 267, 7636, 5163, 267, 2837, 267, 543, 865, 1454, 269, 2060, 1164, 7779, 7727, 543, 513, 1483, 2978, 21641, 267, 596, 786, 1831, 513, 2407, 1922, 1194, 3022, 10196, 538, 1100, 942, 563, 763, 2978, 21641, 3947, 596, 519, 4316, 547, 9192, 707, 6612, 585, 1148, 609, 519, 2502, 1158, 540, 2257, 269, 15012, 7366, 540, 824, 6690, 607, 789, 1332, 607, 3744, 563, 8450, 519, 1699, 3902, 593, 8835, 1934, 563, 3963, 1284, 11146, 898, 912, 268, 654, 517, 519, 14268, 685, 14893, 589, 2264, 6730, 519, 7454, 12409, 13815, 23625, 454, 268, 3683, 476, 866, 10477, 6901, 609, 519, 2702, 547, 1256, 1711, 741, 1378, 454, 268, 12706, 338, 707, 20766, 6015, 454, 268, 17828, 585, 6690, 476, 279, 268, 1321, 454, 298, 629, 7112, 4112, 657, 633, 3163, 6997, 14173, 454, 30706, 4941, 547, 1294, 513, 18962, 1011, 1712, 286, 9320, 9496, 1055, 513, 15177, 883, 2230, 286, 2060, 519, 918, 5723, 302, 6865, 6997, 14173, 267, 596, 666, 798, 1175, 602, 269, 2060, 936, 476, 1839, 1011, 5317, 6901, 267, 596, 786, 2760, 581, 19252, 563, 1607, 2978, 6539, 568, 513, 1187, 543, 2922, 1259, 547, 1205, 782, 602, 20008, 5346, 1648, 856, 269, 10361, 3544, 593, 513, 8799, 1554, 543, 1628, 513, 15177, 610, 513, 3595, 16513, 17891, 269, 2353, 891, 6901, 786, 4001, 596, 827, 3114, 6547, 543, 14759, 538, 519, 1034, 1187, 1259, 563, 16631, 3085, 1406, 723, 547, 581, 19309, 609, 713, 6539, 1472, 269, 9578, 267, 3237, 2648, 602, 713, 6539, 6941, 519, 1946, 3297, 1142, 4603, 269, 901, 568, 811, 982, 1175, 513, 11442, 282, 621, 779, 606, 2069, 563, 13425, 8244, 540, 519, 28763, 7112, 6997, 14173, 593, 8835, 1934, 563, 3963, 1284, 11146, 898, 912, 268, 589, 2706, 2143, 2978, 3391, 454, 268, 4400, 7779, 6901, 543, 2326, 454, 268, 2422, 621, 693, 1753, 610, 1153, 454, 268, 30318, 585, 1453, 6502, 476, 279, 543, 4587, 454, 19185, 585, 1187, 2257, 2238, 585, 3214, 286, 7490, 1491, 513, 1413, 693, 938, 2376, 267, 5843, 2675, 2100, 11242, 585, 8866, 1107, 8342, 31401, 8866, 4024, 11146, 563, 9596, 1299, 1849, 12494, 3163, 14173, 585, 8866, 454, 9596, 1299, 1849, 12494, 3884, 1406, 1175, 513, 2257, 6539, 269, 898, 568, 3108, 540, 1187, 602, 3895, 2565, 3206, 543, 2257, 538, 2189, 2081, 269, 2142, 5423, 547, 723, 707, 2247, 27762, 267, 891, 476, 2641, 3946, 6823, 267, 1164, 20589, 6901, 563, 294 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

[ 267, 607, 538, 519, 2013, 1657, 264, 1317, 741, 8244, 666, 1860, 519, 1788, 21852, 563, 13420, 3612, 269, 16811, 568, 4749, 12349, 693, 5662, 569, 3928, 610, 814, 606, 5662, 569, 2557, 7923, 547, 621, 952, 621, 568, 11262, 24323, 563, 2252, 11449, 2326, 568, 2556, 585, 519, 1788, 267, 741, 1942, 568, 4749, 2241, 547, 7447, 1210, 3370, 5777, 610, 9193, 666, 581, 20335, 689, 14273, 563, 2005, 2114, 609, 6378, 3790, 267, 899, 513, 1016, 4186, 847, 528, 269, 901, 568, 513, 5595, 24737, 3022, 1198, 1317, 513, 1016, 4186, 847, 528, 779, 9276, 616, 6378, 267, 855, 789, 2612, 9876, 596, 540, 5539, 585, 519, 1788, 779, 15415, 543, 2298, 269, 4746, 267, 596, 1590, 1224, 519, 1507, 1820, 2094, 6382, 267, 519, 10997, 1522, 711, 581, 3833, 607, 968, 3553, 892, 607, 596, 3494, 563, 258, 274, 269, 12754, 5426, 532, 454, 2791, 616, 2838, 585, 476, 279, 3108, 593, 11016, 543, 476, 279, 3108, 593, 11728, 540, 3018, 476, 272, 269, 2201, 1978, 2395, 267, 596, 616, 711, 2139, 585, 476, 279, 3108, 1317, 596, 960, 513, 2407, 6066, 2816, 269, 2659, 4199, 11706, 6920, 602, 596, 616, 28998, 538, 1788, 2359, 1612, 28917, 269, 1306, 513, 1267, 267, 649, 1590, 30337, 519, 11647, 563, 27287, 11202, 6396, 5741, 5004, 454, 763, 2565, 8905, 568, 519, 1788, 779, 13074, 5832, 540, 22524, 8817, 4247, 267, 2687, 547, 1788, 9946, 269, 5741, 9946, 666, 811, 11593, 4225, 960, 267, 1711, 10853, 4626, 564, 1963, 267, 2226, 3785, 685, 23348, 267, 543, 24390, 610, 9004, 17799, 676, 7114, 519, 1898, 2619, 563, 3528, 7893, 519, 942, 1063, 519, 1376, 540, 519, 1101, 4305, 543, 519, 9096, 540, 519, 2063, 6221, 593, 519, 2565, 2619, 267, 1788, 9946, 666, 3715, 519, 2949, 8653, 540, 519, 1788, 563, 26794, 540, 519, 11879, 11202, 6396, 454, 763, 1739, 616, 519, 1292, 5383, 540, 1210, 519, 2565, 2619, 1505, 602, 1788, 9946, 1058, 581, 3222, 540, 912, 258, 272, 269, 20865, 9442, 454, 27287, 2619, 1505, 16131, 1289, 585, 5955, 689, 1271, 8639, 693, 1169, 3942, 540, 519, 1788, 779, 14438, 269, 634, 15415, 3587, 811, 10853, 543, 4396, 689, 519, 856, 3553, 950, 519, 1983, 540, 3309, 2319, 2818, 543, 1016, 4186, 847, 832, 267, 971, 607, 16413, 267, 3167, 2103, 267, 543, 4070, 9946, 267, 616, 5916, 563, 258, 273, 269, 26875, 1436, 568, 17214, 3244, 16980, 454, 7712, 1788, 9946, 666, 1732, 5581, 14422, 543, 5173, 519, 10581, 540, 1142, 960, 676, 7114, 519, 2565, 2619, 563, 15239, 2275, 15560, 2238, 723, 513, 2318, 10581, 267, 6466, 1271, 2619, 4247, 723, 4642, 6083, 1846, 269, 30581, 666, 3313, 519, 10862, 540, 1142, 4305, 676, 12719, 922, 10581, 269, 634, 10862, 4679, 607, 519, 10581, 11081, 563, 258, 274, 269, 16842, 2480, 1117, 30389, 6452, 5596, 454, 763, 2565, 2619, 1935, 568, 513, 1134, 2000, 27419, 543, 4096, 762, 1907, 585, 7393, 1788, 8430, 6111, 269, 634, 5358, 16214, 543, 5623, 26435, 630, 303, 12224, 1070, 1776, 1788, 2359, 1907, 602, 11226, 6887, 538, 21501, 2949, 1788, 942, 267, 568, 1419, 1031, 538, 512, 30802, 609, 8713, 300, 269, 5741, 9946, 666, 3132, 519, 1034, 5730, 23004, 676, 9256, 623, 12224, 543, 2565, 2619, 2409, 563, 258, 275, 269, 20865, 11485, 24544, 454, 10303, 2565, 2619, 16131, 5693, 1397, 875, 8200, 4247, 9305, 547, 835, 1776, 267, 1788, 9946, 616, 1732, 2111, 547, 18783, 519, 678, 21451, 4539, 540, 17799, 269, 22702, 547, 824, 1949, 602, 1810, 1406, 4383, 29444, 267, 519, 2565, 2619, 1505, 3947, 596, 811, 8458, 547, 1118, 2242, 2038, 593, 543, 8952, 811, 26208, 689, 8345, 563, 258, 276, 269, 16842, 11154, 1464, 454, 27287, 2619, 1505, 3060, 12222, 2285, 1788, 9946, 519, 2645, 789, 991, 547, 3533, 4188, 519, 8430, 950, 1919, 1810, 1406, 979, 607, 4397, 269, 5741, 9946, 666, 946, 3301, 602, 666, 18082, 519, 2360, 540, 1114, 2242, 547, 5635, 2164, 543, 3442, 519, 1655, 3070, 269, 634, 3301, 2636, 596, 547, 3533, 973, 531, 1529, 622, 519, 8430, 267, 2687, 547, 623, 788, 3019, 563, 258, 277, 269, 20523, 10439, 8177, 454, 19061, 9946, 949, 3533, 10146, 513, 1788, 779, 4626, 564, 762, 543, 3356, 676, 1210, 2565, 2619, 1505, 3060, 12222, 543, 717, 656, 339, 5750, 11269, 540, 2565, 2619, 16131, 269, 5741, 9946, 543, 2319, 2818, 666, 723, 513, 811, 16022, 2631, 540, 513, 1788, 779, 18330, 676, 1210, 891, 3308, 2645, 982, 789, 1522, 581, 2111, 547, 946, 513, 1447, 11617, 18398, 4781, 563, 1692, 568, 519, 11879, 11202, 6396, 6726, 730, 888, 2080, 779, 875, 547, 16924, 3313, 519, 2565, 2619, 538, 1788, 2359, 269, 1403, 596, 1810, 1406, 946, 1788, 2359, 3301, 610, 1175, 1616, 547, 5595, 27902, 3388, 2676, 268, 5903, 782, 540, 707, 4247, 610, 2238, 267, 1818, 4063, 540, 741, 3347, 543, 546, 15342, 563, 268, 8073, 513, 8430, 3060, 6516, 267, 799, 2982, 519, 3347, 1063, 707, 4247, 538, 513, 3308, 6073, 563, 268, 634, 942, 621, 786, 1491, 547, 9096, 1142, 2619, 998, 519, 6516, 666, 581, 7229, 676, 17609, 782, 1761, 10092, 543, 4946, 909, 519, 8653, 540, 1142, 2534, 563, 268, 2659, 2565, 2619, 568, 519, 835, 609, 519, 13074, 2949, 8653, 563, 268, 634, 5383, 540, 2565, 8905, 2079, 538, 1788, 2359, 454, 268, 2991, 596, 723, 5462, 519, 2565, 2619, 585, 707, 1788, 267, 596, 666, 6385, 3313, 563, 268, 2436, 513, 8488, 786, 723, 606, 1198, 593, 519, 3003, 1788, 543, 1491, 3617, 2962, 563, 268, 1677, 15814, 2200, 267, 596, 1522, 27185, 821, 1447, 1271, 6009, 543, 1683, 811, 10862, 547, 4247, 602, 616, 593, 519, 2565, 2619, 563, 1432, 568, 519, 20828, 540, 519, 11879, 11202, 6396, 888, 763, 2565, 2619, 1505, 729, 2813, 676, 13660, 303, 2632, 538, 519, 476, 4198, 271, 338, 269, 634, 12191, 729, 7620, 8246, 676, 519, 3114, 2872, 547, 1711, 519, 10991, 12285, 1634, 607, 683, 641, 16867, 269, 8713, 300, 29765, 1646, 676, 6908, 23164, 2504, 543, 5826, 563, 19350, 568, 513, 811, 9488, 7778, 540, 1142, 540, 891, 5383, 540, 519, 2565, 8905, 1935, 563, 258, 272, 269, 11822, 20907, 5004, 454, 3528, 4227, 2695, 663, 1229, 942, 267, 799, 4679, 519, 1942, 540, 707, 1480, 543, 824, 2200, 267, 596, 666, 2327, 519, 1788, 568, 6192, 593, 8430, 269, 1411, 666, 1847, 10986, 547, 2565, 2619, 4247, 267, 585, 3236, 267, 952, 972, 568, 10581, 942, 4478, 835, 2534, 269, 901, 786, 2759, 1524, 593, 7199, 11112, 960, 543, 7329, 548, 942, 563, 258, 273, 269, 30785, 2480, 1117, 30389, 454, 19061, 9946, 666, 5402, 3651, 10986, 547, 2238, 602, 723, 10581, 942, 267, 538, 1840, 547, 9427, 873, 689, 1346, 609, 513, 2603, 540, 10581, 942, 607, 3617, 269, 1280, 1383, 267, 789, 949, 3651, 10581, 942, 3785, 547, 5520, 945, 616, 1869, 538, 519, 1565, 1184, 865, 602, 789, 666, 1491, 741, 942, 13215, 1007, 1983, 563, 258, 274, 269, 5741, 5004, 2334, 1772, 3244, 16980, 454, 763, 2565, 2619, 1505, 17337, 513, 1788, 883, 519, 6263, 5933, 2838, 547, 9096, 621, 267, 2864, 982, 3168, 693, 513, 2462, 267, 1950, 1788, 607, 513, 2898, 269, 898, 3587, 12863, 547, 4383, 2200, 267, 23348, 267, 543, 13007, 950, 1788, 9946, 13404, 593, 5883, 513, 1788, 593, 513, 4305, 8386, 2389, 2532, 4493, 607, 519, 1788, 8441, 563, 258, 275, 269, 13229, 12754, 5004, 454, 763, 2565, 8905, 1505, 6087, 1788, 9946, 547, 22942, 519, 21852, 585, 1169, 4305, 543, 267, 18867, 267, 519, 2200, 2838, 547, 14892, 873, 269, 1306, 513, 1267, 267, 621, 568, 2241, 547, 3313, 1141, 2200, 1058, 581, 21248, 538, 1931, 540, 10862, 693, 1022, 2016, 3942, 540, 519, 1788, 269, 1548, 779, 811, 267, 621, 568, 2241, 547, 2697, 950, 2200, 666, 581, 11651, 1540, 2476, 689, 6009, 602, 666, 7227, 865, 789, 666, 581, 6964, 547, 9096, 811, 14849, 3283, 563, 1432, 568, 11879, 11202, 6396, 1299, 623, 12224, 286, 888, 14240, 540, 623, 12224, 454, 25284, 630, 19061, 264, 16214, 543, 5623, 26435, 630, 303, 12224, 264, 568, 513, 4480, 1031, 547, 6218, 3785, 269, 4706, 3483, 568, 547, 948, 1788, 9946, 1544, 267, 10891, 267, 8430, 267, 11282, 267, 543, 1827, 741, 960, 269, 901, 1982, 20674, 538, 26762, 519, 12191, 1031, 547, 2347, 513, 1788, 543, 538, 8159, 519, 2547, 2179, 540, 942, 2556, 547, 9096, 519, 3003, 1788, 269, 623, 12224, 729, 2813, 538, 519, 476, 4198, 271, 338, 609, 519, 9837, 540, 4227, 1788, 942, 543, 13258, 563, 14240, 540, 8713, 300, 454, 288, 1134, 8153, 1788, 9781, 4480, 538, 1788, 2359, 568, 519, 11879, 11202, 6396, 267, 610, 8713, 300, 269, 898, 568, 513, 4199, 268, 6748, 5690, 602, 6276, 23765, 543, 21546, 21701, 2813, 538, 519, 476, 4198, 271, 338, 563, 763, 1292, 3804, 540, 8713, 300, 538, 3785, 568, 547, 4137, 856, 799, 4247, 616, 1271, 543, 799, 5749, 1406, 865, 602, 7526, 666, 581, 14284, 543, 4420, 6352, 1815, 802, 666, 581, 4389, 563, 1432, 568, 519, 16338, 9737, 8713, 300, 1299, 623, 12224, 888, 8139, 875, 1279, 513, 1978, 4305, 786, 1491, 568, 519, 4909, 11984, 1063, 623, 12224, 543, 519, 11879, 11202, 269, 17130, 546, 15342, 616, 20093, 1738, 609, 623, 12224, 267, 26089, 519, 946, 540, 513, 2203, 547, 9472, 942, 269, 589, 5458, 5870, 610, 513, 4070, 1788, 616, 1079, 1806, 540, 3785, 1141, 513, 2565, 2619, 568, 811, 6225, 2094, 4305, 3259, 949, 581, 10567, 3362, 563, 268, 12020, 267, 20319, 267, 12180, 267, 25640, 267, 543, 5883, 20437, 2238, 616, 2944, 1210, 519, 1788, 2359, 4480, 1634, 607, 623, 12224, 269, 769, 8713, 300, 267, 1134, 20452, 2238, 616, 9709, 267, 16516, 267, 6896, 267, 20291, 267, 543, 6417, 269, 8713, 300, 568, 513, 8579, 1505, 540, 1788, 2359, 563, 268, 623, 12224, 568, 513, 1505, 540, 942, 2359, 543, 4058, 269, 9521, 8713, 300, 267, 513, 4480, 585, 942, 543, 1942, 2359, 563, 268, 769, 4334, 547, 8713, 300, 267, 799, 2919, 607, 513, 2679, 1788, 267, 623, 12224, 7153, 607, 513, 1382, 543, 1646, 11036, 563, 8489, 568, 11879, 11202, 13242, 888, 763, 8713, 300, 1935, 3006, 5219, 547, 607, 968, 322, 15560, 2619, 2079, 892, 630, 290, 5183, 1070, 3322, 14335, 513, 3060, 6516, 547, 9414, 519, 1931, 538, 799, 4247, 1590, 581, 5645, 856, 538, 1931, 547, 2347, 513, 1788, 269, 4495, 891, 960, 9696, 610, 11444, 723, 1044, 1500, 267, 741, 13080, 616, 23125, 856, 538, 1931, 547, 1265, 519, 1034, 1271, 2619, 267, 799, 11887, 875, 1279, 519, 2898, 1788, 786, 1491, 563, 1432, 616, 519, 476, 274, 4790, 571, 6493, 888, 2080, 616, 519, 1614, 2010, 540, 10148, 596, 991, 547, 4308, 609, 912, 258, 272, 269, 5384, 4790, 571, 842, 454, 763, 2165, 968, 5503, 23061, 892, 4016, 547, 519, 1788, 779, 15415, 585, 12032, 267, 799, 2882, 519, 1813, 7389, 585, 1142, 1788, 5123, 543, 519, 4266, 593, 799, 519, 3803, 5838, 762, 786, 581, 1500, 2139, 563, 258, 273, 269, 2480, 2100, 4790, 571, 842, 454, 763, 1808, 6859, 267, 5838, 1963, 267, 2934, 267, 543, 3252, 540, 513, 1788, 616, 3989, 676, 922, 9165, 269, 1656, 849, 2059, 609, 519, 11645, 2556, 547, 2347, 621, 563, 258, 274, 269, 8779, 4790, 571, 842, 454, 5472, 540, 519, 2883, 2200, 2838, 547, 9096, 519, 1788, 593, 8430, 543, 1369, 922, 1305, 9165, 616, 3769, 538, 519, 1788, 1942, 267, 1419, 1634, 607, 519, 1788, 779, 6578, 269, 5457, 602, 1942, 2882, 711, 1175, 519, 2724, 6170, 593, 5370, 855, 849, 519, 3902, 540, 4074, 267, 21527, 267, 2298, 1852, 267, 543, 824, 2609, 563, 1432, 616, 519, 18567, 540, 519, 11879, 11202, 6396, 888, 258, 272, 269, 4107, 7216, 3399, 8648, 563, 15612, 908, 875, 1279, 1142, 4305, 786, 1491, 568, 519, 1985, 3942, 269, 4746, 267, 596, 1522, 607, 1134, 1491, 513, 3018, 547, 6430, 593, 513, 16475, 8502, 1310, 15388, 707, 7399, 543, 19142, 909, 585, 707, 1283, 4584, 269, 898, 666, 1491, 2947, 3764, 547, 3442, 513, 15745, 269, 898, 666, 1491, 606, 5662, 547, 3442, 513, 10959, 563, 258, 273, 269, 4107, 2487, 3399, 8648, 563, 3528, 18946, 519, 942, 2838, 547, 2347, 519, 1459, 960, 689, 519, 9998, 1376, 942, 585, 519, 1985, 6221, 593, 519, 1592, 267, 596, 666, 1205, 519, 5767, 1376, 942, 585, 1022, 4305, 593, 519, 1592, 269, 634 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

[ 538, 835, 2034, 707, 12475, 8759, 786, 6633, 543, 6492, 1659, 995, 269, 1703, 616, 1082, 2081, 547, 556, 17742, 12475, 25022, 267, 543, 621, 3085, 1406, 2339, 799, 835, 596, 946, 607, 1279, 607, 596, 1810, 1406, 1577, 873, 979, 547, 3653, 563, 763, 7912, 12475, 8759, 267, 635, 611, 516, 547, 519, 8970, 12475, 8759, 267, 814, 513, 1454, 10156, 1686, 269, 634, 7912, 12475, 8759, 12090, 538, 519, 1533, 540, 12312, 7702, 267, 519, 3694, 321, 21488, 540, 6792, 269, 6145, 922, 22959, 11218, 267, 519, 7912, 12475, 8759, 630, 339, 677, 8759, 632, 3771, 2088, 264, 814, 1082, 3344, 267, 7306, 267, 543, 6163, 269, 898, 568, 1455, 538, 7187, 6792, 543, 538, 519, 27623, 2136, 2276, 855, 711, 693, 782, 1134, 1634, 1472, 6792, 4975, 563, 1103, 3162, 7147, 7912, 12475, 25022, 616, 1507, 543, 5394, 269, 769, 4639, 7147, 789, 616, 5420, 13355, 269, 769, 4993, 621, 779, 513, 7848, 267, 1498, 2462, 267, 6094, 2010, 2392, 558, 3729, 269, 769, 12312, 7702, 543, 11105, 14151, 267, 12475, 25022, 632, 3771, 2088, 616, 1804, 1765, 324, 697, 8696, 6279, 538, 8006, 269, 1703, 789, 616, 25649, 543, 2322, 1985, 547, 707, 6676, 267, 899, 23040, 9469, 269, 634, 2063, 942, 594, 729, 538, 27925, 267, 3079, 540, 6998, 585, 513, 2915, 27932, 9126, 594, 4280, 585, 606, 3063, 12475, 8759, 547, 4163, 519, 2451, 13569, 538, 269, 13536, 602, 3781, 594, 1185, 513, 9735, 3276, 761, 334, 585, 513, 15165, 269, 1879, 513, 3276, 761, 334, 568, 22304, 543, 6039, 609, 1368, 659, 600, 1961, 543, 521, 1023, 320, 593, 1283, 621, 3587, 513, 16403, 747, 18553, 563, 14503, 712, 12475, 25022, 27253, 5488, 982, 8970, 12475, 25022, 267, 1498, 789, 798, 1118, 8748, 32409, 267, 1256, 693, 4928, 2837, 269, 594, 3314, 2469, 547, 1153, 609, 513, 3276, 761, 334, 632, 32711, 714, 334, 598, 27280, 341, 657, 630, 300, 1410, 4618, 30725, 720, 543, 5798, 264, 28969, 1250, 6960, 12899, 9126, 543, 737, 327, 13403, 27890, 269, 21661, 519, 1153, 13452, 2893, 1250, 3659, 2672, 5414, 609, 1200, 20858, 29124, 12899, 4216, 267, 838, 3739, 24113, 7423, 543, 21297, 689, 1200, 3043, 1532, 1348, 26889, 5196, 1200, 28448, 20399, 10571, 269, 1280, 3214, 267, 2686, 3604, 616, 3006, 711, 865, 1804, 1310, 782, 563, 2414, 1118, 1079, 18797, 7912, 12475, 25022, 596, 991, 476, 272, 11013, 540, 521, 26661, 3043, 7912, 267, 476, 273, 18324, 9398, 540, 6070, 267, 476, 26528, 7484, 540, 561, 731, 267, 543, 476, 272, 7484, 540, 3636, 1216, 269, 9255, 519, 7912, 538, 513, 12826, 543, 2759, 538, 519, 561, 731, 607, 952, 596, 941, 1818, 2650, 322, 6412, 269, 19837, 9876, 519, 6070, 538, 519, 1216, 267, 1039, 602, 7848, 547, 519, 7912, 543, 561, 731, 547, 1118, 513, 726, 4192, 14859, 267, 543, 9054, 611, 621, 2394, 621, 568, 2571, 543, 13412, 269, 13983, 848, 707, 3946, 543, 1106, 14859, 11084, 476, 272, 16006, 6279, 538, 8006, 610, 5594, 8273, 269, 2201, 513, 1166, 10696, 4604, 267, 946, 513, 12902, 8930, 547, 5066, 856, 1142, 14859, 3440, 547, 693, 2547, 476, 279, 6279, 538, 8006, 269, 630, 2791, 666, 1406, 946, 513, 12475, 8759, 2046, 1317, 540, 519, 22786, 540, 519, 14859, 4700, 13648, 519, 12475, 25022, 593, 606, 4401, 1989, 1497, 936, 5420, 3002, 267, 607, 596, 1131, 8970, 12475, 25022, 563, 4415, 713, 1482, 11600, 1250, 544, 600, 5451, 1131, 3006, 1118, 521, 30249, 760, 25022, 269, 3689, 1352, 1131, 5066, 476, 272, 26528, 20878, 11084, 540, 14859, 1360, 6094, 267, 20105, 873, 16741, 2511, 883, 2185, 4773, 267, 543, 1287, 26650, 519, 12311, 2471, 269, 2991, 1951, 1456, 891, 25858, 344, 29535, 9313, 1352, 1131, 5066, 873, 538, 4006, 543, 24036, 610, 13248, 9932, 593, 873, 269, 630, 2791, 666, 849, 1118, 2898, 10568, 12475, 25022, 267, 855, 1810, 1406, 2119, 547, 26650, 891, 585, 521, 30249, 760, 25022, 282, 519, 14859, 568, 1932, 21432, 8094, 5629, 596, 917, 519, 3083, 625, 540, 1312, 8970, 543, 7912, 12475, 25022, 267, 596, 949, 723, 8373, 14045, 799, 596, 4782, 269, 2659, 3903, 786, 4096, 14356, 593, 2245, 630, 16341, 10346, 1289, 585, 513, 1880, 1826, 264, 543, 14356, 593, 707, 7099, 269, 1403, 596, 616, 513, 1072, 1426, 13982, 596, 786, 581, 20938, 547, 5873, 602, 519, 8970, 12475, 8759, 814, 1100, 6070, 267, 15459, 9600, 267, 610, 29089, 2510, 269, 13379, 5349, 7129, 1058, 917, 602, 4470, 593, 2450, 267, 519, 3328, 8970, 12475, 8759, 814, 689, 476, 3374, 547, 476, 2004, 8477, 267, 1247, 513, 7912, 12475, 8759, 814, 476, 2537, 547, 476, 4792, 8477, 267, 4470, 1586, 593, 2450, 543, 875, 1454, 561, 731, 568, 1031, 269, 630, 1805, 648, 1532, 4454, 12475, 25022, 4043, 547, 723, 1447, 561, 731, 4700, 1635, 6476, 267, 513, 3368, 20878, 20105, 540, 3043, 3694, 814, 476, 3583, 8477, 269, 1306, 596, 666, 1294, 267, 596, 616, 1732, 1055, 609, 513, 12475, 8759, 563, 2691, 594, 729, 538, 519, 3028, 543, 519, 1152, 12475, 25022, 594, 1223, 1205, 941, 12891, 2917, 779, 27574, 6216, 267, 689, 4432, 17131, 334, 267, 1250, 3993, 3576, 533, 640, 593, 803, 543, 544, 9229, 4195, 3283, 2027, 6765, 269, 630, 6546, 729, 8938, 1296, 3516, 267, 950, 2027, 6765, 729, 2965, 2027, 543, 9447, 4700, 594, 15874, 519, 19471, 12475, 25022, 865, 1454, 602, 1352, 6035, 547, 1205, 803, 1250, 1390, 268, 13550, 779, 11600, 585, 12475, 8759, 12897, 267, 855, 594, 31372, 1932, 1279, 547, 1246, 909, 269, 570, 17144, 715, 2088, 5747, 2063, 1032, 693, 519, 2085, 540, 476, 11463, 267, 2921, 519, 11600, 609, 1200, 269, 594, 666, 1406, 2671, 519, 12475, 8759, 23739, 11600, 267, 855, 594, 666, 798, 519, 1985, 1655, 3364, 543, 1780, 2059, 930, 824, 1920, 29202, 563, 1103, 11204, 5321, 621, 568, 519, 2688, 547, 4688, 782, 519, 1554, 6040, 12475, 25022, 543, 3443, 1922, 787, 873, 269, 2776, 560, 334, 256, 570, 739, 27885, 630, 339, 739, 611, 26320, 267, 952, 789, 2461, 1507, 1040, 2334, 568, 1946, 972, 568, 2141, 513, 12826, 540, 12475, 8759, 13365, 543, 3905, 14036, 538, 11204, 14060, 269, 630, 8170, 1576, 267, 713, 568, 711, 547, 2161, 602, 789, 616, 1500, 689, 19108, 779, 12475, 25022, 8094, 7069, 3993, 779, 5172, 1259, 540, 1210, 588, 1446, 12475, 25022, 568, 538, 12475, 8759, 17339, 269, 3689, 1352, 2306, 9269, 610, 14132, 26185, 609, 14274, 543, 14546, 585, 8137, 269, 2701, 2141, 8591, 513, 21686, 540, 635, 16394, 630, 322, 6058, 1070, 799, 2306, 519, 3017, 609, 513, 2603, 540, 11204, 27130, 269, 634, 12475, 25022, 616, 546, 5367, 267, 22304, 267, 27071, 267, 543, 3773, 547, 519, 26633, 540, 17339, 693, 519, 2063, 4090, 865, 519, 13365, 4465, 1406, 1205, 521, 690, 4445, 563, 5194, 1390, 11600, 585, 31629, 12475, 25022, 568, 11549, 6759, 526, 580, 553, 1765, 300, 1410, 4618, 1319, 15605, 11084, 269, 17166, 596, 723, 513, 18797, 588, 1446, 12475, 25022, 269, 1411, 20836, 873, 609, 513, 27341, 543, 11641, 548, 610, 538, 513, 1426, 16267, 267, 610, 585, 811, 13597, 267, 946, 513, 1558, 622, 630, 320, 11204, 27341, 1500, 689, 11315, 15027, 6149, 1040, 3973, 596, 1039, 476, 272, 4212, 267, 476, 26528, 23188, 540, 6070, 267, 476, 16006, 7484, 540, 1989, 730, 3043, 10381, 630, 7945, 607, 16027, 779, 10381, 1070, 543, 476, 16006, 7484, 540, 3905, 5144, 543, 13489, 269, 4676, 3419, 4733, 519, 14859, 585, 606, 12784, 610, 16074, 547, 1450, 519, 12475, 8759, 5536, 547, 21352, 269, 13536, 602, 1554, 610, 519, 1985, 6640, 9054, 611, 519, 14859, 1134, 543, 1039, 811, 5144, 952, 2556, 269, 3245, 713, 14859, 1118, 513, 18797, 1507, 11084, 267, 519, 11549, 6759, 526, 580, 553, 269, 769, 513, 31068, 3443, 3002, 561, 731, 630, 26211, 2287, 786, 798, 267, 855, 561, 731, 568, 811, 8076, 264, 543, 26650, 519, 11549, 6759, 526, 580, 553, 2394, 789, 616, 11344, 6960, 269, 667, 1778, 1134, 543, 789, 616, 4712, 547, 581, 3773, 547, 17339, 282, 22872, 524, 559, 656, 549, 630, 322, 9461, 6387, 264, 2306, 606, 10694, 547, 6137, 563, 291, 10005, 17394, 779, 634, 32202, 8759, 3883, 630, 19604, 704, 1299, 18007, 264, 3947, 8846, 585, 513, 21318, 540, 1292, 8286, 1210, 12475, 25022, 563, 31640, 5510, 519, 4964, 525, 454, 27745, 333, 1406, 1118, 513, 12475, 8759, 952, 707, 1272, 31030, 593, 621, 286, 4039, 1314, 1765, 15276, 568, 693, 1688, 563, 763, 13128, 2892, 614, 693, 4432, 8895, 785, 334, 12475, 8759, 12051, 568, 711, 2324, 1318, 2221, 267, 865, 6307, 21586, 329, 553, 568, 2892, 1154, 562, 778, 334, 13365, 269, 1744, 6033, 538, 1688, 267, 1352, 6763, 676, 519, 23740, 12966, 267, 21066, 20057, 1782, 519, 13365, 607, 789, 10836, 689, 513, 2620, 19339, 26650, 518, 519, 2450, 540, 513, 5292, 802, 342, 10402, 269, 6307, 568, 835, 540, 519, 1906, 1480, 7919, 3238, 538, 513, 3810, 12747, 1184, 602, 7140, 856, 1765, 22336, 1554, 1765, 1704, 267, 1822, 18797, 8970, 12475, 25022, 267, 476, 10384, 271, 4557, 268, 8784, 15004, 540, 13365, 267, 476, 6110, 271, 10833, 540, 512, 23147, 16115, 267, 543, 476, 1724, 267, 1822, 18797, 3043, 7912, 543, 2898, 10568, 7912, 12475, 25022, 563, 11073, 540, 835, 1804, 543, 1079, 1507, 5656, 538, 519, 11204, 1977, 3296, 540, 5101, 21388, 267, 4432, 8895, 785, 334, 7727, 12475, 25022, 547, 17365, 8637, 267, 14060, 267, 543, 3506, 538, 21388, 267, 28543, 267, 20279, 267, 543, 5101, 7147, 269, 898, 1256, 814, 513, 1507, 2671, 540, 519, 2344, 538, 5842, 21293, 267, 519, 17019, 12475, 8759, 3854, 540, 7147, 563, 2414, 1900, 3330, 513, 12475, 8759, 12051, 568, 547, 581, 11207, 27153, 538, 519, 9329, 540, 8970, 269, 25980, 1310, 596, 4734, 267, 519, 24710, 804, 902, 547, 707, 9660, 543, 25361, 707, 19911, 337, 2812, 269, 21894, 596, 3548, 585, 12899, 610, 12129, 602, 1554, 16919, 25861, 569, 899, 513, 12475, 8759, 269, 9540, 4898, 269, 10801, 519, 1554, 693, 4432, 8895, 785, 334, 779, 2571, 12475, 8759, 6498, 267, 8970, 568, 7683, 1373, 11843, 689, 519, 476, 2412, 267, 1822, 1790, 895, 4859, 7382, 547, 5986, 642, 1846, 602, 1413, 899, 1507, 5755, 6517, 269, 1703, 519, 737, 1716, 1564, 616, 1138, 332, 1229, 585, 13977, 547, 24239, 3764, 609, 1216, 543, 5986, 17263, 16760, 18654, 269, 630, 763, 18654, 267, 513, 2757, 19605, 4440, 2094, 2904, 534, 2053, 267, 23465, 609, 519, 8970, 547, 2285, 519, 11792, 320, 519, 1697, 11007, 267, 3432, 909, 519, 5986, 1184, 267, 543, 2333, 15808, 1272, 269, 32202, 25022, 602, 786, 581, 14023, 730, 610, 1031, 1318, 2476, 723, 1447, 18654, 543, 4061, 513, 811, 10347, 6492, 8094, 5475, 9023, 585, 12964, 547, 29933, 3108, 267, 519, 8970, 7848, 568, 2666, 547, 11792, 320, 538, 513, 6149, 32291, 269, 26682, 1287, 7561, 3049, 519, 11792, 320, 883, 513, 5577, 704, 689, 799, 621, 568, 7142, 1063, 1079, 5066, 619, 269, 1306, 519, 9212, 540, 14859, 10836, 267, 789, 616, 28426, 30000, 883, 21448, 676, 2847, 6295, 5884, 2759, 1562, 269, 589, 23740, 12966, 1854, 526, 956, 519, 28283, 998, 513, 3154, 14089, 585, 17288, 547, 29235, 7643, 543, 12772, 519, 11273, 12475, 25022, 5196, 513, 5832, 23740, 602, 9505, 14782, 873, 1394, 543, 8521, 2394, 789, 3579, 269, 2311, 519, 1439, 540, 519, 1899, 267, 2947, 2021, 1293, 267, 521, 871, 267, 543, 4216, 513, 18797, 610, 811, 12475, 25022, 693, 513, 942, 563, 2691, 621, 779, 12899, 5503, 693, 519, 2030, 267, 519, 23740, 26797, 616, 1869, 269, 634, 4600, 267, 538, 741, 24203, 976, 543, 4552, 26506, 267, 1930, 519, 561, 31708, 789, 723, 4547, 269, 589, 2243, 4386, 547, 519, 13680, 593, 19972, 518, 281, 1131, 4896, 945, 1568, 538, 513, 12475, 8759, 12051, 32380, 3548, 513, 12475, 8759, 1765, 1197, 286, 634, 2626, 568, 2312, 269, 769, 519, 1647, 540, 519, 3349, 616, 1079, 4195, 15004, 540, 519, 20614, 540, 519, 2777, 269, 0, 20225, 269, 476, 1789, 1765, 295, 7419, 16249, 307, 2177, 2443, 3933, 1105, 17984, 1522, 1413, 10347, 267, 855, 789, 2811, 2111, 547, 3460, 689, 3345, 3013, 547, 6792, 1282, 15489, 267, 1419, 609, 519, 948, 540, 3744, 543, 2470, 12439, 563, 7804, 269, 19375, 23894, 568, 1312, 563, 6826, 1188, 267, 8689, 540, 519, 11122, 2218, 693, 519, 15391, 15838, 7467, 540, 3203, 267, 11148, 547, 30746, 543, 267, 950, 519, 942, 568 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

[ 454, 259, 273, 1535, 1341, 476, 277, 815, 476, 1015, 14204, 321, 994, 8138, 339, 847, 1269, 277, 259, 689, 1312, 5011, 540, 519, 3830, 454, 259, 273, 1535, 1341, 476, 277, 1422, 10233, 346, 1042, 2410, 268, 476, 277, 348, 815, 476, 1015, 1422, 10233, 346, 1042, 2410, 268, 476, 277, 21456, 8245, 680, 1518, 454, 259, 273, 1535, 815, 476, 275, 14204, 19667, 728, 1312, 5011, 540, 519, 3830, 676, 1269, 273, 14204, 259, 273, 1535, 1422, 10233, 346, 1042, 7346, 15965, 476, 273, 348, 815, 476, 275, 1422, 10233, 346, 1042, 7346, 15965, 476, 273, 21456, 8245, 680, 1518, 454, 259, 343, 815, 476, 273, 259, 568, 519, 8700, 540, 519, 13551, 4677, 267, 8754, 1269, 310, 815, 476, 273, 14204, 322, 994, 3080, 1259, 547, 2638, 938, 9273, 568, 547, 5173, 519, 15943, 540, 519, 14328, 4677, 563, 259, 303, 815, 476, 273, 1422, 9392, 700, 1341, 476, 273, 1422, 9392, 654, 8607, 1422, 29911, 815, 476, 273, 1422, 9392, 476, 274, 1341, 476, 273, 1422, 9392, 476, 273, 815, 476, 277, 1341, 476, 275, 815, 476, 1015, 14204, 6518, 14687, 547, 519, 2016, 15943, 1269, 303, 815, 476, 1015, 16859, 1012, 476, 1015, 910, 3213, 15453, 1773, 2033, 692, 22069, 1903, 692, 7367, 269, 513, 264, 5231, 18159, 271, 267, 272, 7751, 568, 4092, 593, 519, 2318, 2427, 540, 519, 586, 14289, 454, 321, 264, 5231, 1269, 8987, 273, 16427, 274, 7751, 568, 4092, 538, 9076, 656, 476, 274, 454, 322, 264, 5231, 18159, 273, 267, 280, 7751, 568, 4092, 538, 9076, 656, 476, 272, 454, 323, 264, 5231, 1269, 8987, 275, 267, 277, 7751, 568, 4092, 538, 9076, 656, 476, 273, 454, 324, 264, 5231, 18159, 274, 16427, 275, 7751, 568, 4092, 538, 9076, 656, 476, 275, 454, 325, 264, 5231, 1269, 8987, 274, 267, 271, 7751, 568, 4092, 593, 519, 2942, 2427, 540, 519, 1535, 14289, 692, 7871, 269, 1269, 288, 815, 11196, 272, 267, 272, 7751, 454, 259, 289, 815, 630, 271, 16427, 272, 7751, 454, 259, 290, 815, 630, 273, 267, 271, 7751, 454, 259, 291, 815, 630, 274, 267, 272, 7751, 454, 259, 292, 815, 11196, 273, 16427, 272, 7751, 454, 259, 293, 284, 630, 274, 16427, 273, 7751, 454, 259, 294, 815, 630, 271, 267, 274, 7751, 454, 259, 295, 815, 630, 271, 267, 271, 22491, 7918, 269, 513, 264, 1280, 5231, 1269, 339, 815, 476, 271, 259, 2073, 1269, 323, 815, 476, 271, 14204, 2690, 5231, 1269, 339, 815, 476, 272, 259, 5662, 5231, 1109, 267, 476, 1741, 1269, 323, 815, 476, 276, 259, 5998, 454, 2690, 5231, 1269, 339, 815, 476, 273, 815, 476, 272, 1341, 476, 272, 259, 3108, 5231, 1109, 267, 476, 1741, 1269, 323, 815, 476, 276, 1341, 476, 276, 815, 476, 1015, 259, 5998, 454, 2690, 5231, 1269, 339, 815, 476, 274, 815, 476, 272, 1341, 476, 272, 1341, 476, 272, 259, 3108, 5231, 1109, 267, 476, 1741, 1269, 323, 815, 476, 276, 1341, 476, 276, 1341, 476, 276, 815, 476, 1428, 259, 5998, 454, 2690, 5231, 1269, 339, 815, 476, 275, 815, 476, 272, 1341, 476, 272, 1341, 476, 272, 1341, 476, 272, 259, 3108, 5231, 1109, 267, 476, 1741, 1269, 323, 815, 476, 276, 1341, 476, 276, 1341, 476, 276, 1341, 476, 276, 815, 476, 736, 259, 5998, 454, 2690, 5231, 1269, 339, 815, 476, 276, 815, 476, 272, 1341, 476, 272, 1341, 476, 272, 1341, 476, 272, 1341, 476, 272, 259, 3108, 5231, 1109, 267, 476, 1741, 1269, 323, 815, 476, 276, 1341, 476, 276, 1341, 476, 276, 1341, 476, 276, 1341, 476, 276, 815, 476, 1839, 259, 5998, 16317, 321, 264, 634, 2798, 593, 519, 3349, 1657, 616, 28367, 2630, 543, 519, 2798, 616, 8678, 547, 2285, 513, 1899, 780, 780, 1012, 476, 1556, 910, 21153, 8017, 692, 22069, 1903, 692, 4649, 269, 634, 1297, 1899, 609, 2418, 3238, 538, 519, 2016, 16526, 568, 3254, 2630, 780, 2691, 9236, 1079, 2338, 1210, 519, 1297, 267, 519, 1297, 593, 519, 2451, 568, 4130, 982, 519, 1297, 593, 519, 1318, 454, 320, 264, 5231, 1269, 268, 275, 1422, 2741, 476, 271, 259, 7545, 2073, 7545, 3020, 1317, 1269, 268, 275, 259, 568, 547, 519, 2451, 540, 1269, 271, 14204, 321, 264, 5231, 1269, 271, 1422, 25885, 476, 275, 259, 7545, 2073, 7545, 7301, 1317, 1269, 271, 259, 568, 547, 519, 2451, 540, 1269, 275, 14204, 322, 264, 5231, 1269, 268, 277, 1422, 2741, 910, 275, 259, 7545, 2073, 7545, 3020, 1317, 1269, 268, 277, 259, 568, 547, 519, 2451, 540, 1269, 268, 275, 14204, 323, 264, 5231, 1269, 268, 277, 1422, 25885, 476, 276, 259, 7545, 2073, 7545, 7301, 1317, 1269, 268, 277, 259, 568, 547, 519, 2451, 540, 1269, 276, 14204, 324, 264, 5231, 1269, 271, 1422, 2741, 476, 277, 259, 7545, 2073, 7545, 3020, 1317, 1269, 271, 259, 568, 547, 519, 2451, 540, 1269, 277, 6911, 1012, 476, 1321, 910, 16387, 692, 22069, 1903, 692, 6321, 269, 634, 2040, 540, 782, 4835, 7285, 540, 513, 6906, 568, 3160, 547, 454, 321, 264, 5231, 1269, 5197, 17353, 15132, 31859, 6872, 269, 769, 519, 2016, 4137, 267, 7285, 4399, 4120, 589, 15477, 259, 543, 4399, 4120, 645, 8016, 259, 616, 454, 321, 264, 5231, 4675, 11915, 780, 6812, 269, 513, 264, 5231, 4399, 4120, 589, 15477, 31046, 1422, 3667, 346, 663, 348, 31046, 1422, 4120, 11298, 293, 1422, 15153, 259, 2073, 10691, 26432, 7285, 454, 321, 264, 5231, 4399, 4120, 645, 8016, 31046, 1422, 3667, 346, 663, 348, 31046, 1422, 4120, 661, 29996, 1422, 15153, 259, 2073, 26432, 7285, 454, 322, 264, 5231, 4399, 4120, 2910, 291, 31046, 1422, 3667, 346, 663, 348, 31046, 1422, 4120, 674, 15477, 259, 2073, 10691, 26432, 7285, 454, 323, 264, 5231, 4399, 4120, 674, 15477, 31046, 1422, 3667, 346, 663, 348, 31046, 1422, 4120, 2910, 292, 1422, 15153, 259, 2073, 26432, 7285, 454, 324, 264, 5231, 4399, 4120, 589, 8016, 31046, 1422, 3667, 346, 663, 348, 31046, 1422, 4120, 11298, 292, 1422, 15153, 259, 2073, 10691, 26432, 7285, 454, 325, 264, 5231, 4399, 4120, 645, 7495, 31046, 1422, 3667, 346, 663, 348, 31046, 1422, 4120, 661, 29151, 259, 2073, 26432, 7285, 692, 6795, 269, 5231, 12315, 519, 1297, 540, 5011, 540, 1142, 540, 519, 12166, 5515, 7396, 2630, 563, 320, 264, 5231, 19999, 6782, 2433, 476, 1741, 476, 276, 5011, 454, 321, 264, 5231, 3004, 19649, 1355, 2433, 476, 1741, 476, 275, 5011, 454, 322, 264, 5231, 21121, 2433, 476, 1741, 476, 274, 5011, 454, 322, 264, 5231, 918, 924, 2433, 476, 1741, 476, 275, 5011, 692, 2568, 269, 536, 264, 5565, 7285, 616, 3160, 543, 519, 6587, 5011, 547, 519, 3160, 7285, 616, 3160, 780, 8618, 269, 4399, 3667, 346, 8110, 9014, 348, 815, 476, 273, 1422, 9392, 1422, 3667, 346, 26319, 348, 1341, 476, 273, 1422, 9392, 1422, 3667, 346, 12296, 348, 815, 476, 273, 1422, 9392, 476, 1015, 1341, 476, 273, 1422, 9392, 476, 276, 815, 476, 736, 1341, 476, 1015, 815, 476, 1789, 259, 4699, 692, 7830, 269, 1269, 22704, 815, 476, 274, 269, 1691, 1422, 9392, 1422, 3667, 346, 31709, 11892, 273, 815, 476, 274, 269, 1691, 1422, 9392, 630, 272, 8203, 273, 815, 476, 274, 269, 1691, 259, 4009, 7397, 780, 8287, 269, 4595, 13235, 291, 568, 513, 13551, 267, 5084, 292, 568, 513, 1318, 6906, 269, 634, 1858, 540, 519, 26484, 2627, 949, 581, 7229, 676, 18946, 519, 1858, 540, 519, 1318, 6906, 5084, 292, 689, 519, 1858, 540, 519, 13551, 13235, 291, 563, 22704, 540, 1318, 6906, 5084, 292, 4399, 15153, 815, 1422, 2765, 346, 272, 2410, 273, 348, 1422, 9392, 1422, 28235, 346, 14701, 348, 1422, 9392, 1422, 28235, 346, 4696, 348, 815, 1422, 2765, 346, 272, 2410, 273, 348, 1422, 9392, 476, 273, 1422, 9392, 476, 278, 815, 476, 278, 259, 16302, 17744, 454, 22704, 540, 13551, 13235, 291, 4399, 15153, 815, 1422, 28235, 346, 5723, 348, 1422, 9392, 1422, 28235, 346, 4696, 348, 815, 476, 1015, 1422, 9392, 476, 278, 815, 476, 3583, 259, 16302, 17744, 454, 22704, 540, 26484, 2627, 815, 9351, 540, 13551, 13235, 291, 910, 9351, 540, 1318, 6906, 5084, 292, 4399, 15153, 815, 476, 3583, 910, 476, 278, 815, 476, 8287, 259, 16302, 17744, 454, 9616, 602, 519, 26484, 3148, 4171, 1858, 568, 7229, 1657, 568, 513, 25671, 1355, 543, 922, 1858, 949, 581, 7229, 1210, 519, 4542, 585, 519, 1858, 540, 513, 25671, 1355, 780, 1012, 476, 1724, 910, 8422, 667, 7645, 22955, 692, 22069, 1903, 692, 5038, 269, 7089, 540, 3798, 2471, 4399, 15153, 815, 476, 275, 1341, 476, 275, 1341, 476, 275, 815, 476, 1321, 14204, 10831, 540, 674, 2167, 4399, 15153, 815, 476, 272, 1341, 476, 272, 1341, 476, 275, 815, 476, 277, 6911, 4792, 269, 513, 994, 22704, 540, 519, 25965, 13235, 291, 4399, 15153, 815, 476, 277, 1422, 9392, 476, 275, 815, 476, 2190, 259, 16302, 4559, 454, 22704, 540, 519, 25965, 5084, 4047, 4399, 15153, 815, 476, 275, 1422, 9392, 476, 1015, 815, 476, 2412, 259, 16302, 4559, 454, 22704, 540, 519, 25965, 9823, 21203, 4399, 15153, 815, 476, 277, 1422, 9392, 476, 1015, 815, 476, 2568, 259, 16302, 4559, 454, 321, 994, 763, 2627, 1858, 1269, 288, 259, 540, 519, 14328, 24388, 568, 3160, 547, 29375, 21201, 519, 2040, 540, 519, 2127, 540, 519, 25965, 13235, 291, 267, 5084, 4047, 543, 9823, 21203, 563, 259, 288, 815, 476, 273, 1422, 9392, 630, 2190, 266, 2412, 266, 2568, 264, 815, 476, 27886, 259, 16302, 4559, 454, 322, 994, 24127, 4399, 15153, 815, 476, 277, 1422, 9392, 476, 275, 1422, 9392, 476, 1015, 815, 476, 13301, 259, 7750, 539, 4559, 692, 5780, 269, 634, 4320, 568, 2016, 676, 519, 1587, 540, 519, 1858, 1269, 320, 259, 540, 519, 1318, 6906, 13235, 543, 519, 3259, 540, 519, 24388, 4399, 28235, 346, 28425, 21456, 17798, 519, 3830, 454, 259, 2190, 815, 513, 1422, 9392, 1422, 28235, 346, 28425, 21456, 763, 1858, 1269, 320, 259, 540, 519, 1318, 6906, 13235, 4399, 15153, 815, 1422, 2765, 346, 272, 2410, 273, 348, 1422, 9392, 476, 275, 1422, 9392, 476, 274, 815, 476, 277, 14204, 27802, 3482, 1269, 320, 259, 676, 922, 1871, 538, 519, 3830, 454, 259, 2190, 815, 476, 277, 31046, 1422, 28235, 346, 28425, 21456, 19667, 728, 1312, 5011, 540, 519, 3830, 676, 1269, 277, 259, 543, 4194, 585, 4399, 28235, 346, 28425, 4151, 547, 3489, 454, 7445, 28235, 346, 28425, 348, 815, 476, 275, 14204, 763, 2698, 2627, 1858, 568, 2016, 676, 519, 2040, 540, 519, 2127, 540, 782, 476, 276, 8188, 2433, 519, 1079, 1318, 12730, 543, 519, 476, 274, 25965, 454, 763, 2698, 2627, 1858, 4399, 15153, 815, 630, 277, 1341, 476, 277, 264, 1341, 630, 275, 1422, 9392, 476, 275, 1341, 476, 274, 1422, 9392, 476, 275, 1341, 476, 276, 1422, 9392, 476, 275, 264, 815, 476, 2568, 259, 16302, 4559, 692, 1012, 476, 1691, 910, 4578, 543, 28977, 692, 22069, 1903, 692, 6858, 269, 7089, 540, 3108, 829, 1554, 454, 31388, 2433, 476, 274, 3108, 454, 307, 11698, 2433, 476, 274, 3108, 454, 26607, 11888, 2433, 476, 273, 3108, 454, 32637, 2433, 476, 275, 3108, 454, 293, 27518, 2433, 476, 274, 3108, 454, 13707, 1297, 540, 3108, 4399, 15153, 815, 476, 274, 1341, 476, 274, 1341, 476, 273, 1341, 476, 275, 1341, 476, 274, 815, 476, 1428, 6911, 6924, 269, 513, 994, 5804, 519, 27008, 267, 1269, 274, 259, 1053, 20639, 538, 519, 2039, 476, 3445, 268, 4200, 563, 321, 994, 5804, 519, 27008, 267, 1269, 278, 259, 1053, 20639, 538, 519, 2039, 476, 3199, 268, 8660, 543, 1269, 275, 259, 1053, 20639, 538, 519, 2039, 476, 2568, 268, 7597, 563, 17798, 454, 259, 278, 910, 476, 275, 815, 476, 274, 259, 811, 1053, 20639, 538, 519, 2039, 476, 3199, 268, 8660, 982, 1053, 945, 20639, 538, 519, 2039, 476, 2568, 268, 7597, 780, 1012, 476, 1428, 910, 10803, 692, 22069, 1903, 692, 7597, 269, 700, 17999, 1239, 1871, 4399, 282, 815, 476, 278, 14204, 22102, 652, 1239, 1871, 4399, 282, 815, 476, 272, 14204, 9792, 815, 700, 1173, 1115, 1239, 1871, 910, 9540, 652, 1239, 1871, 4399, 282, 815, 476, 278, 910, 476, 272, 815, 476, 277, 14204, 11743, 4399, 6234, 815, 1422, 2765, 346, 272, 1341, 476, 275, 1341, 476, 273, 1341, 476, 273, 1341, 476, 274, 1341, 476, 273, 1341, 476, 278, 2410, 278, 348, 815, 1422, 2765, 346, 2641, 2410, 278, 348, 815, 476, 274, 14204 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

[ 1445, 593, 21475, 6261, 6680, 14147, 18625, 267, 649, 2689, 1018, 568, 1634, 827, 519, 5817, 3157, 540, 24549, 800, 543, 14147, 17038, 6549, 6735, 602, 6038, 1860, 519, 2702, 540, 27712, 547, 1332, 267, 6414, 267, 543, 25579, 880, 2933, 269, 1284, 1287, 9691, 2708, 2963, 540, 7145, 610, 6382, 540, 24549, 648, 2359, 1369, 7286, 6870, 2127, 630, 6573, 2026, 264, 547, 1732, 1174, 1946, 1082, 12463, 2026, 723, 711, 4824, 4093, 585, 27712, 267, 543, 811, 11932, 547, 2697, 519, 6381, 538, 799, 602, 1106, 540, 2359, 1131, 581, 1034, 2693, 547, 581, 2500, 269, 4173, 321, 643, 648, 2359, 568, 711, 513, 3443, 25445, 267, 855, 814, 519, 1761, 547, 3986, 14147, 11818, 18094, 538, 519, 1318, 6381, 269, 8409, 1331, 602, 281, 630, 328, 264, 15534, 2359, 267, 972, 568, 606, 968, 531, 6549, 1966, 892, 1107, 1775, 4318, 1421, 13385, 24549, 800, 547, 2226, 13479, 538, 2829, 602, 616, 22480, 610, 6225, 585, 27712, 282, 543, 630, 4512, 264, 2359, 3527, 616, 2111, 547, 2333, 2121, 24549, 800, 269, 1306, 2799, 1351, 718, 643, 800, 568, 513, 5732, 7839, 2942, 12343, 540, 2359, 267, 649, 2015, 930, 540, 519, 6381, 538, 799, 602, 568, 1034, 2693, 547, 581, 513, 1966, 607, 1134, 607, 1761, 3435, 269, 5221, 519, 2942, 2360, 540, 1978, 13479, 616, 6574, 585, 14147, 11175, 543, 2038, 12272, 11208, 267, 621, 949, 581, 602, 4509, 6190, 24549, 800, 568, 3226, 1271, 538, 5009, 6051, 689, 16160, 2621, 971, 607, 2527, 6926, 2286, 269, 4935, 267, 24549, 648, 2359, 666, 723, 513, 1909, 547, 1404, 607, 851, 540, 513, 9962, 4640, 547, 4383, 543, 2569, 519, 6937, 602, 4867, 6650, 559, 14147, 18625, 563, 288, 4657, 2916, 568, 6117, 5051, 1455, 543, 12675, 7286, 3002, 30335, 630, 300, 295, 310, 338, 264, 543, 891, 3665, 2621, 723, 1631, 1044, 4922, 13006, 547, 16094, 1764, 7286, 8134, 11451, 269, 1717, 267, 631, 295, 310, 338, 723, 10355, 1044, 2808, 950, 6313, 2837, 14001, 12159, 540, 14147, 11818, 8134, 269, 3371, 649, 2015, 3665, 267, 22297, 8143, 22114, 267, 29005, 1369, 6626, 4679, 538, 4262, 2627, 2837, 267, 799, 11886, 519, 17046, 7355, 585, 631, 295, 310, 338, 269, 1452, 8650, 543, 7920, 2621, 267, 5219, 547, 1934, 607, 631, 295, 310, 28326, 26105, 267, 616, 711, 2141, 1134, 6719, 538, 519, 1699, 5943, 1031, 547, 4766, 14147, 6926, 2286, 267, 855, 798, 723, 3982, 8733, 4093, 267, 1519, 7839, 6926, 2286, 267, 543, 4028, 2527, 9019, 540, 2322, 8271, 5687, 958, 27031, 14147, 2249, 269, 634, 2168, 10256, 540, 891, 22297, 28326, 26105, 616, 5941, 1934, 267, 543, 538, 3257, 865, 649, 1459, 513, 3102, 7811, 5943, 602, 6402, 519, 6211, 6114, 540, 519, 14147, 8666, 15134, 657, 2096, 25027, 11248, 547, 3665, 8143, 2566, 543, 8733, 2242, 593, 18625, 607, 513, 12343, 540, 631, 295, 310, 28326, 26105, 269, 1284, 4766, 875, 519, 4028, 12614, 540, 1164, 5210, 11479, 7525, 3002, 3613, 816, 13251, 10408, 3441, 267, 11566, 6127, 602, 1131, 6382, 11574, 519, 1764, 540, 7930, 19017, 8143, 2566, 269, 634, 3636, 1604, 267, 543, 2799, 1769, 21774, 540, 519, 14147, 22403, 1813, 547, 519, 2530, 540, 14147, 8031, 267, 13745, 609, 14147, 5160, 9178, 1489, 4028, 15451, 2208, 538, 519, 20258, 2890, 523, 1444, 267, 4611, 538, 519, 4922, 11389, 322, 1758, 1242, 12343, 540, 4028, 9178, 267, 543, 23979, 540, 519, 14147, 7729, 30416, 269, 901, 18965, 23979, 540, 14147, 7729, 30416, 593, 513, 11818, 4336, 17225, 519, 6051, 540, 14147, 5095, 543, 2333, 519, 10171, 540, 5123, 10593, 4724, 3473, 531, 17282, 269, 1284, 2303, 602, 631, 295, 310, 28326, 26105, 267, 998, 6117, 4028, 3002, 14001, 9019, 267, 14207, 18625, 685, 7293, 10850, 547, 519, 1033, 337, 2939, 540, 1279, 2165, 6051, 269, 1284, 15974, 602, 631, 295, 310, 28326, 26105, 581, 2808, 607, 513, 3982, 1362, 540, 8143, 2566, 2621, 538, 14147, 18625, 267, 543, 602, 519, 1699, 5943, 1031, 547, 4766, 14147, 6926, 2286, 543, 2527, 9019, 581, 9450, 547, 1331, 891, 269, 1284, 20882, 2417, 1382, 883, 875, 14147, 9019, 5540, 6915, 518, 8531, 676, 14147, 1439, 14663, 338, 563, 17357, 1023, 543, 29008, 525, 538, 22586, 2620, 5498, 320, 5054, 616, 5748, 2249, 2022, 4327, 547, 3986, 2199, 4763, 676, 2810, 1979, 8328, 7226, 30846, 543, 23429, 2199, 3327, 15203, 269, 1452, 1883, 2516, 616, 3810, 7925, 547, 18063, 630, 324, 3052, 1421, 911, 342, 1782, 267, 5599, 267, 543, 5533, 264, 543, 616, 12219, 676, 27763, 2242, 538, 5836, 2175, 5532, 547, 2916, 1689, 630, 29403, 2305, 267, 8337, 267, 543, 632, 2135, 4723, 566, 1040, 4495, 8697, 676, 911, 342, 1782, 610, 824, 18063, 267, 973, 20325, 1436, 543, 1036, 9512, 949, 2154, 5553, 610, 3476, 267, 10223, 519, 991, 585, 19642, 540, 891, 2620, 5498, 320, 14147, 543, 26703, 2950, 630, 9169, 5425, 12336, 1040, 1677, 713, 1439, 267, 519, 6940, 540, 26712, 5425, 12336, 949, 581, 8476, 711, 1152, 676, 7863, 4540, 2950, 267, 855, 849, 1065, 641, 6819, 22841, 2127, 1210, 3742, 11808, 2409, 269, 3371, 267, 649, 1867, 835, 540, 519, 1101, 2090, 547, 2263, 2409, 547, 11177, 2620, 5498, 320, 14147, 5095, 676, 6037, 20814, 14147, 15998, 540, 2789, 14147, 2249, 269, 645, 3757, 2583, 540, 2620, 5498, 320, 27712, 941, 6394, 676, 681, 10976, 689, 476, 8517, 547, 476, 9873, 271, 544, 3178, 1055, 3844, 4993, 543, 9070, 730, 883, 2789, 15998, 2899, 693, 519, 2627, 269, 1452, 15998, 941, 1287, 7923, 547, 968, 322, 7394, 17428, 892, 1210, 1079, 1114, 2409, 543, 5116, 538, 519, 1482, 7226, 547, 2708, 741, 12272, 11208, 630, 333, 815, 476, 13647, 2698, 15998, 267, 562, 815, 476, 278, 26908, 267, 562, 815, 476, 278, 17293, 2516, 1040, 6399, 12272, 11208, 585, 782, 6037, 11343, 14147, 15998, 4767, 1369, 519, 1101, 476, 18458, 2395, 729, 3980, 376, 7367, 9077, 609, 519, 5207, 9019, 9648, 538, 519, 1101, 476, 274, 3275, 269, 769, 1840, 547, 606, 3355, 13796, 8417, 267, 6668, 540, 14147, 15998, 9867, 676, 13613, 1505, 543, 1851, 2249, 269, 2353, 14147, 15998, 7923, 547, 14147, 17428, 1210, 23407, 13218, 5747, 267, 1247, 1346, 7923, 676, 9160, 8507, 538, 11186, 12272, 11208, 936, 942, 269, 634, 8545, 1505, 8507, 538, 476, 3199, 1700, 1911, 260, 23650, 12272, 11208, 1310, 476, 272, 1032, 585, 4856, 718, 1756, 838, 1421, 700, 650, 760, 520, 1127, 838, 1421, 543, 27997, 807, 737, 1993, 1355, 328, 267, 476, 1321, 1700, 2004, 260, 585, 519, 19348, 27712, 23715, 6737, 529, 1170, 335, 269, 543, 1772, 573, 7578, 17895, 659, 4918, 267, 543, 476, 271, 1700, 2004, 260, 585, 519, 19389, 326, 636, 27712, 3474, 698, 3073, 807, 818, 321, 648, 320, 543, 27584, 690, 698, 3073, 807, 28471, 604, 3271, 320, 269, 1452, 3355, 2164, 5815, 3604, 538, 22740, 8481, 547, 13003, 532, 2409, 1851, 14147, 2249, 267, 855, 849, 2303, 602, 1065, 641, 1637, 3646, 949, 17108, 519, 6051, 540, 22841, 26712, 5425, 12336, 563, 19931, 7286, 6288, 2359, 543, 4027, 540, 14147, 18625, 666, 1152, 4755, 952, 9946, 723, 7850, 1702, 540, 11818, 1072, 543, 1858, 269, 1717, 267, 13844, 971, 1344, 568, 4074, 14021, 543, 2352, 609, 3908, 7616, 543, 942, 269, 24035, 6744, 17111, 729, 7722, 676, 4972, 540, 13149, 20088, 17111, 547, 4786, 519, 14147, 18625, 4478, 23621, 2674, 6816, 13149, 5244, 543, 3561, 1072, 4567, 543, 3135, 1808, 6937, 269, 1677, 3035, 713, 267, 649, 8246, 519, 24035, 6744, 5619, 1505, 267, 513, 2241, 267, 4028, 543, 11455, 13387, 11818, 5464, 7014, 1759, 593, 3621, 3741, 269, 901, 1505, 568, 5078, 1141, 7482, 543, 942, 616, 3908, 269, 589, 2698, 540, 476, 4817, 4609, 4478, 23621, 2674, 6816, 941, 23500, 609, 519, 6351, 540, 14468, 24035, 6744, 19889, 291, 1853, 13538, 543, 13222, 689, 2199, 8639, 269, 901, 12504, 2257, 1935, 9863, 3811, 543, 6383, 513, 15977, 4786, 13031, 513, 3017, 538, 519, 1072, 540, 14147, 18625, 1063, 519, 7178, 543, 7532, 5011, 540, 23621, 2674, 6816, 267, 1141, 519, 4639, 1185, 2999, 1839, 260, 2661, 14147, 3382, 607, 3379, 547, 3436, 2004, 260, 593, 519, 5101, 269, 10395, 1441, 609, 1239, 593, 13525, 3165, 543, 29068, 267, 607, 1134, 607, 1480, 543, 2067, 5222, 267, 519, 2164, 2303, 602, 23621, 2674, 6816, 1058, 581, 9674, 883, 1614, 10058, 5726, 10862, 10851, 547, 3986, 2359, 2994, 540, 713, 7286, 6288, 269, 901, 568, 606, 1383, 540, 606, 5499, 1259, 547, 4497, 543, 4125, 2199, 8639, 538, 4058, 5726, 543, 2359, 2994, 563, 1607, 1353, 5359, 593, 519, 27811, 5638, 630, 349, 476, 2190, 544, 3178, 264, 540, 14147, 6926, 2286, 538, 513, 6923, 2837, 3613, 762, 1604, 630, 285, 476, 2918, 11019, 290, 609, 606, 12499, 268, 2335, 783, 13260, 540, 9625, 476, 273, 11019, 290, 1070, 799, 729, 6592, 1282, 513, 2527, 6926, 2286, 2680, 538, 519, 12725, 8789, 267, 7372, 521, 13406, 716, 15687, 14147, 590, 3187, 770, 16699, 588, 749, 1092, 538, 20337, 658, 7297, 540, 8478, 630, 14684, 9533, 1040, 1323, 954, 268, 2335, 783, 2079, 630, 1220, 273, 1700, 1001, 278, 264, 8612, 602, 713, 6926, 2286, 2680, 729, 1644, 547, 22114, 538, 4262, 2627, 2837, 630, 306, 4306, 264, 602, 3366, 547, 519, 3636, 652, 1032, 630, 1001, 271, 264, 538, 713, 2540, 630, 272, 547, 476, 272, 269, 278, 11019, 290, 1657, 3328, 1040, 6270, 22114, 3361, 3002, 2566, 630, 2764, 269, 276, 1700, 3066, 269, 276, 11019, 290, 264, 538, 713, 20337, 658, 1604, 602, 8507, 538, 513, 6926, 2286, 2680, 269, 3776, 2164, 2303, 602, 519, 2333, 538, 590, 4306, 267, 1970, 8514, 7190, 267, 543, 4617, 12798, 949, 723, 19500, 1927, 547, 1860, 891, 2566, 2389, 26985, 27712, 538, 8589, 18625, 269, 634, 20337, 658, 23795, 540, 8478, 568, 6353, 676, 1970, 12499, 268, 2335, 783, 543, 954, 268, 2335, 783, 7648, 538, 590, 4306, 267, 799, 5267, 602, 519, 590, 269, 588, 749, 1092, 27712, 1934, 949, 581, 1035, 743, 574, 520, 1242, 547, 891, 7123, 2175, 543, 267, 18867, 267, 723, 513, 2539, 6926, 2286, 12939, 1317, 540, 2539, 3140, 3002, 2566, 563, 291, 329, 756, 719, 1014, 14147, 18625, 616, 14605, 6594, 267, 855, 616, 540, 2565, 2956, 547, 9235, 543, 1148, 16388, 531, 10068, 538, 713, 1507, 3384, 4182, 269, 769, 476, 1001, 275, 543, 476, 1001, 277, 649, 5645, 856, 519, 1034, 3102, 5619, 540, 30622, 756, 719, 1014, 18625, 547, 4266, 267, 543, 1459, 1239, 593, 741, 14498, 267, 1072, 543, 7447, 741, 13438, 547, 2104, 14147, 6926, 2286, 543, 27643, 5222, 269, 24035, 1826, 9867, 689, 1950, 11818, 21272, 6534, 547, 2842, 543, 6329, 2059, 519, 13323, 540, 1520, 523, 267, 547, 7522, 535, 2590, 532, 18625, 11105, 547, 519, 2620, 1352, 2741, 1229, 7297, 540, 519, 13323, 540, 570, 29951, 2227, 269, 15845, 5267, 602, 538, 519, 2250, 476, 3374, 1296, 519, 18625, 723, 711, 5892, 4810, 4049, 14147, 6926, 2286, 610, 1713, 1480, 5222, 267, 609, 1082, 18625, 2348, 2635, 543, 3309, 14147, 543, 3165, 5095, 269, 6399, 14147, 3382, 729, 1164, 630, 7367, 8472, 543, 3165, 31174, 1137, 941, 13856, 676, 13278, 344, 3077, 2249, 543, 24549, 2803, 269, 1717, 267, 8375, 4262, 2627, 5210, 630, 306, 4306, 338, 264, 543, 4028, 2487, 9381, 1646, 2238, 538, 30622, 756, 719, 328, 616, 2693, 2104, 6937, 547, 891, 5266, 2150, 31189, 18625, 563, 10908, 984, 958, 267, 14147, 18625, 616, 9714, 532, 6385, 1813, 547, 519, 5916, 1764, 540, 2647, 8397, 27643, 2238, 543, 2916, 1689, 269, 6684, 267, 14147, 18625, 538, 3127, 616, 6849, 606, 16650, 3463, 1317, 540, 14556, 1881, 2825, 12159, 267, 799, 2591, 11818, 5117, 6043, 543, 8739, 268, 1815, 1670, 6617, 269, 21298, 267, 29583, 339, 269, 540, 3127, 814, 3144, 909, 519, 2048, 306, 26196, 300, 8403, 19510, 685, 17935, 547, 2333, 922, 2823, 4390, 676, 519, 7269, 540, 4540, 16788, 267, 4070, 540, 1896, 1007, 16788, 543, 24027, 5989, 1646, 676, 476, 1708, 276, 269, 14271, 1120, 2065, 1764, 540, 9381, 1646, 13745, 609, 519, 593, 268, 4707, 2825, 2242, 568, 16363, 547, 17108, 14147, 11818, 12159, 538, 4095, 18625, 269, 4475, 267, 519, 1459, 2376, 6663, 547, 5031, 519, 23473, 540, 2318, 6304, 543, 22612, 540, 1279, 3856, 11455, 14147, 11818, 11808, 1982, 607, 606, 3742, 11818, 2359, 1907, 269, 13966, 609, 6671, 2359, 2853, 267, 11818, 11808, 1982, 1223, 1225, 18571, 2417, 11818, 12159, 543, 786, 2327 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

[ 3856, 3435, 616, 1210, 3282, 10110, 550, 2923, 3330, 540, 9126, 12086, 267, 2810, 519, 20119, 547, 536, 5407, 5223, 543, 538, 930, 4049, 2665, 8920, 5024, 519, 8764, 656, 609, 4195, 3049, 563, 27770, 626, 675, 694, 9429, 883, 519, 1753, 998, 519, 16538, 6821, 1447, 2693, 609, 28778, 5862, 269, 22452, 540, 28778, 5862, 4670, 547, 1164, 11195, 610, 7509, 16172, 1310, 5862, 814, 12015, 267, 2523, 952, 972, 729, 16283, 2627, 7041, 269, 1403, 28338, 979, 1524, 547, 519, 14041, 281, 17179, 519, 2707, 540, 7509, 267, 952, 2009, 269, 0, 294, 1430, 532, 1472, 519, 3595, 2897, 1282, 21617, 3275, 2488, 4313, 585, 1082, 8225, 3885, 269, 2060, 3595, 17541, 543, 3574, 560, 7174, 267, 1498, 789, 3142, 14246, 789, 2097, 609, 3106, 3800, 602, 649, 991, 547, 1246, 269, 1284, 1590, 1589, 827, 16403, 2284, 11642, 267, 2679, 9479, 267, 8673, 32302, 267, 3595, 24773, 29913, 543, 1697, 5665, 5773, 269, 3371, 616, 930, 1919, 547, 1589, 827, 713, 8022, 4005, 912, 268, 634, 946, 540, 513, 3154, 3595, 2897, 814, 1044, 513, 2442, 4244, 547, 3574, 1532, 9506, 3595, 17541, 2523, 538, 18960, 5321, 269, 13937, 3595, 17541, 616, 2653, 547, 946, 282, 1683, 606, 8216, 3595, 693, 519, 2490, 540, 513, 6467, 267, 543, 7472, 3002, 3533, 269, 1809, 891, 3595, 17541, 1205, 3905, 1360, 3533, 543, 666, 581, 513, 8594, 1472, 1453, 269, 9605, 17541, 543, 3574, 560, 7174, 616, 519, 2034, 3056, 2014, 540, 17236, 538, 1453, 563, 268, 8073, 513, 11064, 1472, 1022, 3595, 1747, 547, 1832, 1453, 543, 10130, 513, 2922, 3845, 693, 782, 2053, 563, 268, 1280, 3154, 3595, 17541, 2141, 1118, 2386, 519, 18723, 568, 2312, 4544, 269, 1403, 621, 779, 5835, 610, 10538, 267, 1289, 513, 3028, 3318, 563, 268, 3680, 4881, 707, 3595, 2897, 693, 519, 1482, 942, 607, 824, 14233, 602, 5887, 547, 519, 3544, 547, 2057, 3327, 24785, 1628, 5346, 269, 901, 2882, 3844, 12511, 1949, 267, 9660, 3819, 619, 610, 519, 10051, 26372, 2039, 269, 26121, 782, 540, 891, 14233, 693, 2899, 666, 16765, 1314, 707, 5887, 532, 1062, 865, 602, 930, 3327, 24785, 1223, 13451, 883, 519, 1753, 563, 268, 17546, 1453, 827, 519, 8594, 540, 3595, 543, 2760, 4734, 873, 4805, 2282, 513, 3595, 2897, 610, 3574, 560, 913, 563, 268, 9255, 22799, 607, 1127, 538, 513, 2790, 8708, 13964, 543, 2476, 689, 4376, 602, 1223, 6633, 269, 8307, 26565, 540, 519, 607, 1127, 950, 789, 723, 4625, 22799, 563, 268, 15188, 1957, 267, 3574, 543, 824, 1166, 30100, 2326, 2476, 689, 519, 3574, 560, 913, 563, 268, 22210, 3819, 19023, 3574, 267, 799, 7472, 811, 3002, 543, 849, 11151, 865, 582, 630, 920, 657, 1774, 264, 1628, 5346, 563, 268, 5901, 513, 3595, 24773, 8718, 538, 513, 3844, 4087, 538, 519, 2777, 269, 5269, 2386, 782, 1920, 2818, 917, 1141, 621, 779, 4092, 563, 268, 9255, 8673, 22572, 2429, 519, 2777, 543, 723, 835, 4092, 538, 519, 1482, 4055, 607, 519, 3574, 560, 913, 269, 5269, 513, 4356, 547, 1449, 5781, 563, 268, 898, 568, 5227, 602, 596, 723, 707, 16403, 2284, 13761, 270, 30236, 539, 693, 2547, 476, 273, 2053, 513, 1032, 563, 2467, 568, 4986, 1071, 345, 1512, 982, 513, 3636, 267, 6505, 3595, 593, 513, 669, 11035, 3781, 607, 1279, 607, 596, 616, 3257, 621, 1318, 269, 0, 268, 4569, 7215, 3446, 476, 274, 6780, 543, 19551, 2626, 1883, 454, 268, 4569, 7215, 6780, 543, 19551, 3446, 476, 276, 4320, 476, 273, 454, 268, 11120, 738, 324, 964, 32731, 637, 1696, 964, 7070, 9966, 664, 525, 1649, 631, 24202, 1731, 16629, 629, 331, 4545, 320, 20620, 13043, 7215, 3446, 476, 274, 6780, 543, 19551, 2626, 1883, 454, 16914, 826, 559, 282, 14581, 543, 19551, 3446, 476, 276, 2626, 1883, 269, 631, 269, 8745, 269, 7427, 891, 4267, 1318, 269, 476, 736, 476, 866, 267, 9925, 267, 3992, 476, 274, 267, 513, 1279, 269, 1215, 1082, 286, 476, 6246, 1107, 949, 4569, 1547, 663, 454, 4517, 21501, 2979, 3211, 476, 275, 628, 6780, 2979, 3211, 2626, 2262, 2042, 10213, 942, 3211, 585, 9656, 2681, 2262, 3211, 585, 9656, 8691, 3446, 17447, 3211, 2979, 3211, 585, 476, 279, 628, 17603, 1603, 8454, 607, 17447, 3211, 2979, 11777, 3211, 2979, 8691, 5013, 1876, 2165, 1957, 1187, 3791, 3446, 2979, 3211, 269, 4569, 25285, 16877, 4267, 547, 2979, 519, 4295, 2609, 540, 741, 6044, 267, 609, 6310, 2259, 543, 1565, 3356, 687, 7471, 883, 1169, 3314, 269, 2382, 14688, 3651, 12031, 1093, 525, 773, 536, 659, 561, 267, 17118, 267, 543, 4255, 609, 13128, 18176, 543, 1483, 6066, 8989, 8838, 1308, 2123, 1353, 4566, 585, 1053, 1210, 6304, 512, 3415, 1395, 339, 3570, 1557, 23918, 918, 2908, 2023, 11154, 633, 3525, 525, 269, 4569, 14581, 8382, 6206, 18224, 532, 540, 2164, 269, 20985, 2994, 20741, 2631, 6194, 563, 1607, 5863, 3135, 267, 799, 2882, 4810, 1870, 585, 476, 280, 1296, 267, 568, 835, 540, 519, 3056, 7966, 9313, 593, 519, 5769, 269, 14581, 543, 19551, 3446, 476, 276, 2626, 1883, 1318, 269, 1215, 1082, 286, 4569, 7215, 1608, 4727, 6780, 543, 19551, 6902, 930, 1053, 519, 4116, 1223, 2161, 267, 476, 280, 1296, 269, 5410, 621, 568, 30507, 519, 2953, 593, 799, 1775, 2638, 707, 21189, 281, 21619, 21685, 568, 5497, 547, 1569, 3446, 476, 276, 676, 562, 26138, 282, 4569, 25285, 14581, 1656, 5457, 532, 6103, 476, 276, 12226, 2979, 7215, 1455, 4295, 3446, 476, 276, 2626, 1883, 2443, 30991, 912, 298, 7159, 4802, 2042, 7689, 476, 273, 282, 535, 282, 4879, 3391, 269, 4107, 1053, 547, 1820, 9124, 269, 2859, 4245, 11783, 7170, 281, 2470, 2979, 2626, 10569, 3177, 563, 18184, 1841, 585, 3885, 2979, 269, 7170, 281, 1449, 2626, 1883, 2035, 543, 1688, 538, 2875, 2534, 1433, 3568, 2262, 2042, 609, 8454, 610, 2362, 547, 891, 7223, 476, 272, 269, 9373, 532, 7215, 6780, 543, 19551, 3817, 269, 5457, 532, 267, 562, 4912, 476, 279, 269, 5192, 811, 1344, 563, 2690, 554, 332, 327, 6780, 2531, 7149, 1310, 17469, 942, 538, 2979, 2259, 540, 1957, 269, 1656, 2298, 3028, 256, 15618, 281, 4945, 2630, 267, 2019, 269, 3629, 19551, 547, 606, 5007, 3135, 269, 7731, 5022, 1832, 713, 1966, 2630, 547, 1820, 3817, 585, 6780, 6780, 10467, 543, 5215, 476, 273, 267, 4320, 476, 273, 267, 3446, 2385, 563, 13043, 7215, 6780, 543, 19551, 3446, 476, 276, 4320, 476, 273, 454, 16914, 826, 559, 14581, 543, 19551, 3446, 476, 276, 2626, 1883, 269, 7427, 891, 4267, 1318, 563, 293, 659, 738, 324, 964, 32731, 637, 1696, 964, 7070, 9966, 664, 525, 1649, 631, 24202, 1731, 16629, 629, 331, 4545, 320, 910, 0, 2414, 4266, 267, 1585, 4719, 12889, 10556, 532, 519, 19777, 11853, 540, 11178, 9449, 723, 1044, 4857, 269, 1452, 22787, 26945, 4713, 1267, 689, 13592, 540, 6090, 3238, 538, 1082, 3268, 540, 11178, 9449, 10282, 267, 4859, 267, 21131, 267, 6765, 267, 610, 13345, 269, 769, 4334, 547, 11178, 7988, 327, 768, 517, 14003, 267, 519, 1714, 1075, 9179, 540, 519, 5817, 1696, 5735, 540, 1034, 2665, 540, 11178, 7988, 2102, 8412, 568, 1454, 1447, 6956, 269, 898, 568, 6700, 602, 4719, 2188, 1522, 1404, 513, 1909, 538, 930, 2665, 540, 11178, 7988, 2102, 8412, 543, 519, 1655, 11134, 6090, 3238, 616, 1346, 17683, 16606, 2188, 1634, 547, 1404, 513, 1909, 538, 519, 25782, 1646, 540, 519, 11178, 14189, 269, 5047, 267, 1167, 867, 766, 585, 11178, 7988, 2102, 8412, 568, 519, 4341, 585, 1395, 27340, 5328, 21054, 607, 5063, 4080, 543, 713, 949, 1267, 689, 27981, 2045, 9259, 267, 2038, 30717, 13592, 267, 610, 2022, 5414, 326, 5328, 2621, 269, 769, 519, 3803, 851, 540, 713, 2689, 519, 7636, 12889, 3238, 538, 5946, 602, 3560, 11178, 9449, 538, 519, 10009, 616, 4330, 281, 16815, 6918, 710, 1532, 4193, 5895, 6081, 630, 307, 289, 294, 1070, 17464, 560, 790, 339, 514, 543, 11549, 6058, 267, 602, 949, 581, 2404, 609, 12012, 11178, 1599, 4255, 543, 824, 2619, 11043, 2175, 971, 607, 26887, 1355, 5328, 4874, 928, 1755, 15797, 269, 0, 24718, 543, 13760, 281, 589, 5545, 20309, 22054, 23694, 9218, 454, 1607, 1433, 568, 585, 5545, 1893, 6267, 14971, 547, 3914, 606, 4359, 1377, 2676, 3598, 2996, 945, 616, 2907, 693, 606, 4359, 1377, 267, 5545, 1893, 16929, 3238, 538, 3450, 4359, 5545, 2676, 663, 1346, 5461, 538, 519, 5545, 1893, 563, 3080, 2101, 1883, 547, 13215, 4359, 7400, 5545, 568, 519, 11601, 540, 2769, 1308, 4845, 3270, 602, 1331, 2022, 6570, 531, 5536, 563, 4913, 267, 21594, 543, 519, 899, 10355, 3382, 971, 2769, 1308, 4845, 3270, 563, 12234, 267, 711, 1152, 6267, 855, 1256, 5545, 1893, 16929, 723, 513, 2352, 942, 23243, 1063, 7215, 609, 2147, 3029, 610, 10096, 563, 1607, 1433, 2882, 13366, 585, 476, 3607, 274, 2596, 7215, 563, 4322, 7215, 616, 15044, 676, 2495, 543, 1331, 1383, 5220, 2676, 14708, 2312, 741, 31792, 633, 3347, 563, 763, 1433, 849, 2306, 4704, 547, 476, 29710, 6508, 7215, 602, 616, 7648, 593, 891, 2596, 7215, 563, 26589, 609, 519, 2495, 540, 1142, 4082, 267, 621, 568, 849, 3379, 543, 4334, 539, 609, 1866, 602, 723, 2147, 3029, 543, 10096, 2676, 30161, 8724, 873, 538, 2081, 602, 1450, 596, 547, 1174, 519, 7294, 3604, 538, 2495, 563, 272, 281, 634, 6099, 8675, 540, 22192, 4845, 3270, 585, 4359, 5545, 6267, 543, 5545, 16929, 563, 273, 281, 22291, 834, 21353, 545, 7215, 257, 602, 616, 519, 5748, 540, 4359, 5545, 563, 274, 281, 3281, 4100, 2596, 543, 6508, 7215, 547, 824, 7215, 865, 602, 596, 666, 4487, 741, 946, 563, 275, 281, 589, 5763, 540, 1383, 5220, 602, 616, 2653, 585, 6267, 547, 1174, 543, 3730, 585, 16929, 563, 276, 281, 20450, 607, 513, 4549, 2218, 1433, 585, 519, 5545, 6441, 4833, 4515, 11351, 4530, 543, 22410, 585, 5545, 2160, 1520, 3939, 585, 4139, 4841, 563, 11947, 7547, 476, 278, 4792, 2596, 4845, 3270, 602, 1106, 519, 4493, 540, 4359, 5545, 563, 5825, 619, 786, 1451, 2953, 2495, 543, 6165, 676, 9236, 3688, 609, 2147, 4845, 3270, 563, 763, 3099, 540, 1114, 1383, 5220, 267, 1519, 11234, 6165, 786, 581, 5363, 585, 3755, 269, 0, 291, 11190, 25605, 630, 289, 20315, 299, 4696, 2464, 295, 2567, 634, 27079, 8232, 10414, 630, 7034, 293, 264, 18611, 593, 519, 3127, 5174, 836, 14994, 8473, 5654, 1310, 519, 590, 7431, 17018, 4302, 1934, 799, 568, 4092, 1369, 513, 3845, 540, 8806, 835, 9481, 516, 689, 5689, 6767, 8664, 538, 4639, 19377, 563, 763, 9923, 4302, 729, 3710, 1282, 519, 12081, 540, 29001, 670, 1380, 664, 20961, 267, 1063, 476, 14983, 274, 543, 476, 14681, 280, 267, 538, 519, 3965, 540, 1010, 15962, 7385, 590, 7431, 269, 634, 9923, 4302, 267, 799, 814, 1044, 3710, 538, 513, 2698, 1858, 540, 476, 3393, 7397, 267, 568, 513, 3501, 1383, 540, 519, 6189, 11342, 1354, 519, 15652, 540, 19377, 563, 763, 1488, 3832, 1670, 4972, 540, 16273, 814, 1044, 3168, 1310, 519, 10120, 2497, 2094, 519, 7332, 2173, 1994, 640, 2197, 6913, 5191, 538, 476, 3192, 272, 563, 10521, 10854, 14435, 6062, 7980, 267, 18279, 15011, 12011, 3291, 514, 808, 1695, 836, 597, 543, 11683, 715, 1690, 332, 592, 267, 4503, 741, 2729, 1282, 519, 476, 3192, 272, 2112, 269, 769, 513, 24744, 547, 519, 1079, 7980, 267, 519, 16273, 2229, 9112, 513, 18189, 1369, 519, 22402, 540, 519, 9923, 4302, 799, 814, 1631, 723, 1831, 513, 15805, 5544, 563, 763, 29172, 293, 10265, 753, 11540, 693, 519, 8473, 1832, 9395, 15500, 543, 2932, 2834, 535, 5142, 6362, 540, 1004, 945, 2628, 513, 3643, 547, 519, 9923, 4302, 538, 1931, 547, 3247, 1022, 4990, 540, 10363, 2238, 543, 3444, 8473, 10963, 563, 10144, 689, 5689, 6767, 1034, 1419, 3643, 713, 1747, 1310, 7677, 5109, 782, 6101, 885, 693, 519, 7471, 2638, 2022, 540, 29172, 293, 543, 27079, 2871, 1841, 16273, 630, 289, 16412, 1916, 13126, 281, 8648, 540, 3127, 0, 763, 2597, 540, 476, 1911, 729, 1667, 543, 1297, 540, 729, 1667, 538, 476, 1911, 575, 1058, 581, 7229, 563, 763, 1966, 568, 1759, 593, 1770, 776, 1505, 269, 1403, 2597, 540, 476, 272, 729, 615, 568, 2016, 267, 2597, 540, 2161, 562, 729, 1667, 786, 581, 562, 2053, 519, 2597, 540, 476, 272, 729, 615, 269, 6684, 267, 689, 2597, 540, 476, 272, 729, 615, 538, 10101, 267, 1297, 540, 729, 1667, 538, 476, 272, 575, 666, 581, 7229, 543, 1297, 540, 729, 1667, 538, 1535, 10101 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

[ 915, 10855, 1557, 715, 338, 8421, 562, 810, 321, 915, 10855, 1557, 2357, 8208, 339, 23176, 1592, 324, 2529, 1539, 1108, 10749, 910, 24205, 543, 15215, 7170, 20099, 7822, 28951, 2433, 24205, 543, 15215, 4828, 910, 901, 1957, 568, 689, 513, 18216, 4301, 15594, 779, 269, 2171, 723, 1044, 1603, 15257, 3594, 543, 1382, 4574, 2094, 476, 1220, 275, 269, 24205, 540, 4984, 3594, 282, 24205, 540, 7328, 3594, 282, 24205, 540, 960, 3594, 4732, 1539, 1108, 3594, 593, 4984, 4828, 827, 15257, 543, 19795, 540, 4984, 269, 2098, 611, 773, 1159, 603, 4657, 1250, 2247, 17573, 3594, 593, 5718, 12171, 1638, 1257, 540, 834, 5804, 7665, 32544, 281, 10749, 538, 15257, 257, 2598, 23002, 543, 4077, 1143, 320, 267, 476, 26783, 3487, 8633, 281, 23781, 24702, 2473, 299, 634, 4317, 10017, 540, 519, 2622, 9671, 687, 7868, 5843, 1606, 1539, 1108, 540, 15215, 281, 16241, 13756, 267, 11814, 633, 543, 10572, 269, 676, 11969, 718, 19811, 269, 1548, 798, 1004, 798, 950, 789, 798, 4984, 286, 23883, 267, 1018, 1547, 2304, 1557, 610, 1957, 593, 24205, 540, 15215, 538, 4937, 13517, 269, 24205, 540, 15215, 568, 519, 1353, 540, 519, 4978, 267, 590, 8491, 10749, 269, 16440, 707, 3594, 9950, 1087, 904, 24205, 540, 15215, 269, 24205, 540, 15215, 11000, 4967, 269, 519, 15257, 540, 4984, 568, 849, 7255, 609, 1480, 5872, 20136, 1863, 24205, 1557, 593, 4828, 281, 24205, 568, 3501, 1044, 1524, 547, 5198, 610, 4984, 4929, 635, 270, 612, 904, 4882, 1539, 1108, 270, 22967, 1606, 1539, 1108, 563, 30348, 894, 5098, 3948, 827, 3854, 10751, 454, 323, 1170, 10488, 581, 320, 636, 1105, 9820, 544, 926, 720, 4453, 16619, 454, 8586, 707, 14172, 1557, 0, 1607, 6648, 676, 29122, 15470, 568, 2943, 1776, 1434, 1383, 540, 11052, 538, 519, 2034, 1899, 267, 519, 10564, 3096, 4158, 2395, 267, 799, 568, 606, 3236, 540, 519, 946, 540, 3308, 11052, 538, 519, 8772, 1899, 267, 519, 11953, 267, 18854, 22363, 3529, 3096, 519, 11052, 540, 8289, 269, 22569, 2044, 568, 519, 2165, 585, 5515, 540, 4633, 610, 1913, 602, 1711, 2178, 2790, 5961, 543, 17915, 1510, 621, 267, 513, 6648, 781, 2093, 3100, 1447, 13267, 547, 519, 5467, 267, 607, 588, 1196, 2072, 6280, 7005, 7548, 24636, 737, 18721, 7867, 32625, 547, 12927, 741, 6835, 267, 15023, 2308, 17391, 267, 31830, 2218, 269, 3509, 1434, 1806, 540, 11052, 543, 27461, 1893, 666, 581, 1336, 538, 5609, 2996, 538, 519, 3946, 540, 606, 14220, 5601, 267, 513, 28005, 517, 9447, 676, 538, 6648, 1948, 7176, 277, 267, 513, 7522, 269, 22569, 2044, 568, 519, 1883, 602, 796, 331, 4169, 519, 1650, 585, 519, 5467, 1776, 1259, 547, 5401, 519, 946, 540, 11052, 568, 547, 1491, 513, 2110, 1650, 267, 2356, 5708, 267, 543, 547, 1900, 883, 519, 1915, 781, 1158, 676, 5373, 1018, 519, 1915, 12034, 563, 3412, 698, 2044, 267, 10852, 569, 2442, 538, 6965, 543, 849, 538, 12416, 267, 666, 581, 1031, 538, 1022, 2186, 540, 3860, 1603, 621, 8591, 593, 519, 15312, 540, 1022, 4062, 540, 1603, 621, 568, 513, 269, 22569, 2044, 2609, 540, 513, 6648, 602, 1045, 5803, 1022, 540, 519, 2947, 12823, 547, 1711, 513, 1305, 540, 2790, 2592, 4481, 267, 1210, 12667, 610, 27461, 1893, 547, 2099, 2093, 267, 3615, 267, 610, 3527, 269, 10906, 24649, 781, 6965, 2242, 4948, 10207, 547, 12667, 11052, 24649, 814, 513, 16994, 3750, 585, 1469, 607, 1352, 17838, 519, 3308, 2592, 602, 1352, 12034, 883, 1913, 540, 19621, 1893, 602, 5932, 12667, 2592, 538, 519, 5467, 781, 2247, 269, 22569, 2044, 1031, 538, 1183, 1846, 262, 9954, 2178, 11052, 568, 519, 4493, 540, 2497, 538, 1082, 9954, 21055, 543, 14165, 673, 11052, 1913, 5351, 519, 5467, 609, 16208, 519, 1292, 563, 1103, 1196, 3258, 782, 534, 1093, 324, 781, 519, 986, 1597, 267, 1093, 324, 11394, 547, 2995, 519, 1650, 540, 606, 30748, 1242, 812, 945, 568, 1253, 571, 9853, 609, 519, 8823, 540, 513, 11537, 2021, 676, 519, 2012, 540, 7003, 648, 269, 22569, 2044, 281, 513, 1455, 2165, 540, 4756, 2495, 267, 11052, 2882, 519, 2790, 5961, 602, 3988, 1995, 609, 513, 8574, 540, 3332, 621, 19752, 782, 519, 10444, 11994, 5219, 547, 538, 513, 6648, 267, 2436, 676, 21055, 6609, 267, 782, 4288, 267, 1138, 850, 267, 610, 14165, 269, 17826, 781, 1893, 6965, 3096, 1893, 538, 1082, 1114, 2081, 676, 711, 6005, 519, 2553, 15023, 946, 609, 11052, 10750, 543, 2241, 267, 11052, 568, 519, 2262, 1031, 547, 269, 31888, 2356, 2270, 2789, 19621, 2474, 543, 3457, 899, 11052, 519, 6965, 1806, 8659, 538, 713, 3135, 1419, 3095, 547, 824, 6965, 3457, 540, 799, 602, 6648, 5713, 607, 606, 1383, 2705, 267, 649, 1683, 2189, 1806, 585, 1142, 6965, 2165, 16382, 2009, 269, 15766, 908, 11052, 543, 13513, 538, 522, 1372, 547, 15489, 875, 798, 519, 2592, 540, 519, 6648, 948, 1711, 513, 4334, 1063, 3350, 543, 1869, 1145, 1183, 1846, 3096, 1454, 1268, 2305, 538, 713, 522, 1372, 563, 3412, 698, 2044, 568, 519, 1184, 540, 1210, 12667, 267, 10855, 1913, 547, 2285, 519, 5467, 513, 2143, 4605, 540, 1018, 568, 2469, 593, 538, 707, 1603, 865, 602, 789, 666, 3362, 4605, 267, 610, 14650, 267, 621, 538, 741, 1378, 2247, 1224, 7366, 540, 9954, 267, 2854, 676, 1762, 1379, 15023, 267, 602, 2308, 11052, 269, 7689, 7650, 1053, 4983, 13275, 1025, 820, 781, 6648, 513, 8914, 3529, 543, 5373, 2893, 534, 608, 738, 532, 936, 552, 557, 267, 7421, 519, 13513, 267, 23199, 267, 543, 11052, 1031, 16269, 2697, 4798, 8268, 538, 519, 6648, 543, 5373, 543, 1287, 2328, 3312, 9954, 827, 519, 1482, 6249, 538, 513, 2413, 6377, 4259, 269, 3794, 27443, 2165, 281, 11052, 11052, 568, 519, 2012, 2016, 547, 519, 2609, 538, 513, 6648, 602, 8141, 1055, 519, 12823, 5103, 3239, 1373, 513, 28395, 585, 4605, 267, 2592, 991, 711, 269, 22569, 2044, 9954, 2630, 616, 1806, 540, 9954, 827, 11052, 713, 1592, 540, 11052, 9954, 568, 7768, 540, 519, 1568, 540, 2413, 3486, 10564, 2818, 540, 6965, 338, 19281, 1224, 2110, 267, 1279, 267, 1655, 267, 4583, 267, 543, 2413, 1806, 540, 11052, 6965, 713, 1592, 540, 1568, 827, 11052, 568, 606, 5140, 4199, 585, 563, 1103, 9378, 639, 646, 2033, 344, 781, 6648, 20857, 267, 519, 10584, 6257, 1010, 11937, 262, 20857, 1210, 11052, 543, 15109, 1010, 1378, 1603, 607, 1010, 1106, 540, 20857, 519, 10584, 5956, 676, 26159, 513, 811, 269, 22569, 2044, 14556, 5809, 519, 1764, 540, 519, 10564, 781, 1913, 607, 646, 2982, 721, 609, 1010, 1913, 2864, 982, 1175, 10213, 721, 1018, 646, 7959, 5152, 18405, 616, 2407, 540, 11052, 713, 568, 606, 21626, 689, 840, 331, 26360, 267, 606, 11052, 6648, 676, 512, 521, 1714, 3999, 596, 666, 3592, 1294, 543, 5873, 519, 7504, 2848, 5446, 543, 16826, 532, 543, 9329, 519, 269, 17826, 676, 29827, 10153, 1853, 267, 1519, 519, 3460, 6965, 676, 29827, 10153, 1853, 519, 3460, 835, 1554, 596, 6368, 6785, 1018, 596, 1185, 547, 798, 267, 543, 3459, 267, 1498, 519, 9739, 269, 22569, 2044, 9954, 891, 9954, 1711, 12667, 5961, 998, 519, 946, 540, 1893, 952, 596, 2972, 513, 1434, 1650, 267, 596, 786, 2648, 713, 2027, 4015, 689, 519, 5830, 693, 1250, 2262, 530, 19123, 563, 3412, 698, 2044, 538, 519, 6648, 616, 972, 6405, 2592, 610, 5961, 602, 519, 10564, 6499, 3988, 547, 1294, 616, 519, 5961, 2813, 676, 1797, 540, 16198, 2443, 585, 3236, 267, 14165, 610, 1138, 850, 269, 22569, 2044, 4214, 267, 519, 5250, 540, 2790, 2592, 267, 5515, 267, 610, 6010, 8864, 525, 540, 1919, 267, 610, 540, 971, 2592, 15217, 281, 519, 3897, 11052, 540, 513, 5326, 1294, 811, 269, 769, 519, 986, 1597, 1196, 3258, 782, 534, 1093, 324, 3096, 11052, 547, 1450, 519, 5467, 547, 4283, 519, 1158, 540, 519, 1762, 10564, 267, 547, 11240, 538, 519, 32408, 1336, 1369, 538, 713, 6648, 1196, 3258, 782, 534, 269, 0, 1692, 547, 1374, 543, 6218, 1382, 538, 2069, 454, 288, 1382, 1374, 568, 3274, 513, 1544, 585, 10647, 1382, 621, 568, 513, 29685, 585, 875, 596, 786, 2932, 707, 1982, 6268, 8939, 519, 3617, 1374, 543, 2324, 998, 543, 11264, 513, 1134, 2219, 856, 7954, 1544, 2488, 513, 2178, 5748, 585, 8236, 513, 3811, 543, 13181, 1982, 6268, 269, 1215, 547, 1374, 543, 6218, 1382, 538, 2069, 2488, 513, 3102, 4367, 547, 3872, 1382, 519, 1257, 6227, 519, 1034, 4922, 1031, 1382, 16097, 543, 11828, 1142, 1900, 538, 519, 1382, 1184, 538, 1469, 1900, 8386, 9912, 2079, 540, 1483, 1382, 2090, 2488, 1053, 269, 1215, 547, 1374, 543, 6218, 1382, 538, 2069, 676, 9808, 523, 30448, 267, 13544, 678, 267, 476, 1220, 274, 267, 26818, 326, 3863, 3620, 650, 2362, 2069, 7160, 267, 538, 7005, 910, 476, 276, 628, 1196, 269, 1215, 547, 1374, 543, 6218, 1382, 538, 2069, 476, 280, 628, 7160, 676, 13544, 9808, 523, 30448, 543, 17404, 26818, 326, 3863, 3620, 650, 2362, 2069, 4688, 909, 547, 476, 3199, 260, 676, 7446, 519, 552, 3667, 1504, 4781, 585, 568, 16818, 281, 476, 7818, 23669, 4281, 274, 16328, 280, 267, 476, 23669, 4281, 274, 16328, 280, 563, 10932, 2409, 568, 513, 1257, 676, 1743, 13171, 9372, 561, 646, 742, 1676, 602, 6212, 593, 519, 9238, 540, 1382, 1374, 543, 519, 2565, 2079, 540, 3318, 1382, 538, 519, 1514, 9443, 689, 3384, 513, 3069, 267, 8939, 5396, 267, 543, 4152, 5396, 547, 7900, 8579, 2079, 543, 1603, 519, 1382, 1867, 269, 4065, 1788, 6268, 910, 1374, 606, 6268, 1907, 281, 6268, 1374, 24920, 606, 6268, 1544, 6054, 519, 3877, 540, 707, 6268, 1374, 2914, 1002, 1344, 596, 991, 547, 1118, 5483, 3664, 543, 875, 596, 786, 979, 827, 11018, 602, 1344, 269, 1215, 547, 1374, 543, 6218, 1382, 538, 2069, 1007, 26294, 26818, 326, 3863, 3620, 650, 3549, 575, 3530, 28478, 787, 575, 630, 2735, 274, 264, 2489, 2069, 2221, 7254, 535, 4920, 8646, 11067, 2023, 561, 5064, 281, 795, 657, 8124, 1532, 817, 21101, 554, 573, 686, 5984, 606, 612, 320, 989, 5886, 630, 1001, 273, 264, 4928, 2359, 1031, 676, 519, 11000, 3464, 540, 14021, 1576, 630, 545, 264, 693, 7005, 2069, 8257, 540, 3450, 2866, 269, 8281, 875, 547, 1374, 543, 6218, 1382, 538, 2069, 875, 547, 1374, 543, 7824, 875, 547, 1711, 7824, 6119, 2870, 513, 7824, 3758, 568, 513, 1390, 1259, 547, 2671, 707, 2093, 543, 547, 1118, 2386, 602, 789, 563, 1805, 534, 5112, 8021, 262, 4013, 2228, 3406, 1907, 585, 2835, 267, 2923, 267, 13746, 267, 12240, 267, 2229, 6054, 543, 811, 269, 30325, 9008, 610, 16979, 3593, 267, 24963, 2327, 519, 3926, 568, 4448, 609, 707, 1018, 338, 1952, 269, 1215, 547, 1374, 543, 6218, 1382, 538, 2069, 5789, 1575, 31703, 4140, 592, 1207, 31343, 4050, 601, 23790, 546, 15401, 19915, 836, 20805, 573, 1731, 534, 737, 776, 320, 13544, 678, 9808, 523, 30448, 267, 2343, 534, 552, 3774, 523, 267, 15854, 927, 523, 554, 1728, 684, 21583, 546, 3438, 4226, 16988, 522, 548, 327, 26818, 1178, 342, 14629, 267, 1007, 26294, 721, 320, 1207, 31343, 538, 328, 1768, 323, 21105, 546, 926, 476, 280, 9126, 1014, 21583, 546, 756, 698, 328, 2367, 329, 14508, 476, 1839, 3777, 267, 586, 7159, 340, 281, 851, 476, 272, 281, 4367, 547, 1382, 519, 2470, 540, 1382, 851, 476, 273, 281, 519, 9238, 540, 3872, 1382, 519, 1382, 269, 19672, 827, 1007, 875, 547, 1374, 543, 6218, 1382, 538, 2069, 476, 1015, 324, 9808, 523, 30448, 476, 1015, 628, 7160, 581, 519, 1101, 547, 2328, 513, 2689, 1007, 875, 547, 1374, 543, 6218, 1382, 538, 2069, 476, 1015, 324, 9808, 523, 30448, 476, 1015, 628, 7160, 6221, 1344, 2783, 281, 6216, 1007, 7274, 281, 476, 279, 2139, 1315, 476, 274, 4421, 269, 9122, 593, 519, 1433, 267, 1299, 875, 547, 1374, 543, 6218, 1382, 538, 2069, 476, 279, 628, 7160, 267, 676, 9808, 523, 30448, 267, 3774, 523, 267, 1728, 684, 1931, 713, 1557, 1934, 1631, 543, 1205, 513, 10958, 649, 616, 519, 3056, 4081, 10467, 1603, 2754, 267, 4444, 713, 7084, 610, 1022, 824, 7084, 689, 721, 543, 649, 786, 10018, 606, 513, 266, 3446, 563, 1692, 547, 1374, 543, 6218, 1382, 538, 2069, 2488, 513, 3102, 4367, 547, 3872, 1382, 519, 1257, 6227, 519, 1034, 4922, 1031, 1382, 16097, 543, 11828, 1142, 1900, 538, 519, 1382, 1184, 538, 1469, 269, 3848, 476, 279, 6268, 1382, 1374, 281, 3681, 10442, 2069, 1299, 2866, 2533, 281, 513, 29194 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

[ 5856, 267, 3217, 721, 593, 5339, 15322, 4904, 609, 9644, 267, 4987, 267, 543, 18854, 269, 2060, 1200, 16994, 7422, 543, 15931, 18340, 267, 1352, 21810, 8723, 3871, 883, 9058, 8090, 269, 1403, 596, 2648, 1565, 1945, 1007, 1247, 28617, 856, 10978, 267, 1287, 4432, 604, 15506, 3861, 779, 2835, 616, 3501, 585, 596, 2439, 303, 523, 601, 2100, 700, 1947, 267, 513, 3703, 2278, 267, 17134, 1218, 3988, 609, 1200, 27610, 9423, 538, 1312, 2407, 27480, 9089, 543, 2110, 2984, 269, 6787, 1352, 779, 18167, 883, 519, 10848, 540, 1480, 2470, 610, 6313, 519, 14960, 540, 3965, 267, 1200, 1913, 2141, 4734, 606, 30170, 1665, 593, 1346, 945, 4497, 609, 873, 269, 1955, 21670, 3054, 538, 1200, 8941, 543, 3605, 1946, 1352, 779, 2808, 513, 4487, 540, 1200, 4739, 780, 15563, 267, 962, 12011, 684, 9149, 8843, 1200, 7415, 1272, 3460, 998, 1200, 2295, 325, 3881, 29946, 269, 18004, 538, 3624, 543, 1631, 2713, 538, 3013, 267, 1352, 3091, 4030, 883, 11776, 267, 2790, 1072, 267, 543, 4466, 835, 779, 1747, 538, 519, 1158, 269, 4173, 6151, 19969, 5713, 607, 6667, 585, 4896, 5275, 24176, 610, 5583, 1282, 4101, 2053, 780, 2026, 596, 666, 1294, 267, 2542, 10741, 9885, 547, 9118, 7399, 543, 12857, 596, 547, 9058, 1004, 267, 4025, 267, 543, 2093, 269, 1924, 4584, 909, 513, 1433, 2221, 543, 1376, 3695, 782, 519, 9735, 10600, 7996, 1175, 585, 596, 256, 0, 2080, 568, 606, 1349, 689, 513, 2546, 912, 257, 7212, 476, 1001, 277, 814, 20335, 513, 3983, 22850, 267, 972, 941, 267, 693, 519, 1360, 2547, 267, 513, 2603, 540, 5140, 2835, 3370, 269, 1809, 713, 1032, 256, 7734, 689, 6723, 590, 16184, 619, 267, 681, 2135, 2033, 22985, 267, 670, 926, 31311, 345, 745, 267, 808, 8160, 269, 3213, 28856, 2465, 267, 24981, 595, 23677, 267, 20908, 332, 2106, 24156, 286, 589, 4503, 12377, 676, 19863, 324, 21025, 599, 286, 589, 3209, 676, 4432, 604, 15506, 3861, 286, 10374, 2984, 676, 6755, 601, 2100, 700, 1947, 286, 589, 17728, 676, 962, 12011, 684, 9149, 286, 7734, 689, 1100, 7864, 982, 2185, 7085, 687, 5234, 619, 286, 898, 781, 513, 21649, 269, 1284, 4126, 519, 1739, 1592, 540, 476, 3199, 1606, 15036, 14232, 2835, 533, 10134, 596, 909, 585, 519, 630, 14140, 3368, 540, 519, 264, 1007, 1032, 269, 1411, 3513, 5469, 602, 649, 4312, 556, 10687, 321, 1441, 938, 5708, 543, 15923, 8638, 267, 10771, 5708, 607, 538, 519, 2250, 269, 1656, 267, 11173, 513, 2245, 649, 3323, 713, 2887, 267, 649, 3513, 581, 3257, 9910, 12744, 338, 693, 519, 4098, 540, 1142, 3923, 4534, 1577, 721, 917, 952, 972, 616, 824, 1919, 649, 1058, 581, 3168, 4464, 547, 269, 630, 2252, 596, 616, 513, 2462, 10178, 540, 938, 1979, 268, 2335, 783, 2776, 1613, 338, 543, 1265, 3054, 13288, 547, 873, 1032, 15778, 267, 5225, 2015, 5885, 938, 3646, 676, 4742, 513, 4759, 14386, 5130, 5262, 2159, 6468, 676, 681, 2135, 2033, 22985, 281, 22985, 814, 1185, 606, 3010, 2237, 606, 2502, 543, 3015, 1576, 1770, 538, 513, 1837, 585, 1647, 1153, 1053, 1644, 547, 519, 1349, 1657, 269, 634, 1543, 1058, 581, 3358, 585, 1647, 1153, 1053, 1510, 1991, 1702, 540, 519, 1888, 780, 2521, 547, 1384, 268, 3629, 2143, 3137, 267, 2057, 2930, 3822, 267, 543, 1459, 519, 2093, 538, 513, 3551, 267, 2239, 3159, 563, 268, 3417, 1806, 547, 1118, 519, 1641, 3839, 543, 3078, 585, 1762, 1647, 1153, 1053, 563, 268, 3680, 4304, 519, 1357, 1349, 538, 519, 1837, 269, 1684, 711, 1331, 513, 2140, 610, 2606, 2453, 269, 3399, 1603, 519, 1543, 2047, 269, 0, 8080, 547, 938, 3992, 827, 2462, 9541, 543, 875, 789, 666, 1689, 4872, 256, 4653, 267, 649, 3513, 2263, 513, 4241, 1383, 827, 4566, 547, 2087, 513, 851, 540, 595, 1251, 267, 8581, 1634, 607, 519, 834, 309, 1112, 20187, 22588, 1701, 589, 1895, 1572, 26344, 12182, 1564, 17290, 6499, 547, 1902, 24843, 2004, 2929, 630, 7474, 781, 936, 1269, 6321, 2929, 14386, 883, 713, 1858, 269, 2913, 781, 4685, 4514, 883, 1018, 602, 1797, 543, 1946, 621, 781, 865, 3579, 2439, 5331, 596, 723, 930, 2724, 10710, 909, 267, 543, 596, 1616, 547, 946, 621, 547, 1628, 1945, 2731, 2027, 538, 707, 4884, 1765, 31138, 602, 1004, 786, 2972, 9683, 543, 1210, 585, 1296, 547, 2097, 269, 2334, 781, 4010, 1018, 26344, 12182, 1564, 17290, 568, 3257, 256, 1358, 1378, 1614, 20730, 2907, 267, 855, 1631, 789, 1616, 547, 1711, 1256, 811, 5624, 585, 8436, 547, 3251, 1247, 3695, 595, 1251, 780, 2467, 616, 1079, 2694, 547, 741, 1544, 269, 3689, 267, 789, 1616, 547, 22058, 622, 630, 25785, 909, 264, 543, 4228, 630, 24708, 8273, 264, 519, 4540, 5450, 1886, 1961, 23392, 269, 901, 1797, 21130, 922, 1374, 267, 1818, 2386, 3388, 1568, 1134, 267, 543, 4946, 811, 11623, 585, 14538, 269, 6056, 827, 952, 596, 1185, 606, 2025, 11442, 602, 596, 6068, 267, 855, 621, 2877, 930, 18203, 543, 3063, 4773, 547, 1118, 621, 1256, 1732, 269, 1411, 1223, 2285, 621, 513, 4195, 10359, 540, 5862, 267, 4368, 1022, 7745, 2694, 267, 543, 1039, 1187, 17960, 547, 3986, 707, 1404, 5503, 1995, 269, 2334, 781, 899, 1018, 781, 8345, 609, 519, 5450, 1886, 1961, 23392, 2439, 30772, 267, 26344, 12182, 1564, 17290, 814, 4566, 547, 4020, 630, 28265, 264, 513, 6216, 20642, 15678, 7404, 269, 898, 786, 581, 2413, 543, 31042, 267, 13267, 547, 1346, 945, 2648, 31933, 6272, 269, 5994, 2348, 513, 21743, 1007, 31942, 602, 814, 1175, 1044, 5950, 22924, 5654, 5863, 267, 7959, 1390, 547, 3180, 267, 543, 2501, 14095, 609, 2934, 1100, 824, 3926, 814, 269, 2334, 781, 2147, 547, 1018, 1412, 763, 631, 262, 15678, 786, 2709, 2439, 4322, 1079, 20730, 4465, 1405, 1175, 1796, 4805, 282, 789, 3513, 581, 4448, 998, 13123, 269, 2290, 786, 581, 1500, 540, 4837, 267, 3850, 4190, 5784, 1063, 1312, 5656, 269, 6271, 835, 786, 1921, 1412, 763, 631, 262, 15678, 547, 519, 5450, 1886, 1961, 23392, 693, 519, 1101, 6989, 1377, 267, 4758, 14538, 2653, 1569, 547, 782, 2139, 29319, 269, 16514, 8220, 1079, 6181, 334, 5036, 1927, 16900, 267, 2870, 513, 3677, 2497, 2407, 540, 7399, 780, 5472, 891, 9283, 1611, 972, 786, 581, 1472, 476, 6110, 1007, 15678, 11623, 538, 519, 2295, 540, 595, 1251, 781, 3140, 10116, 269, 9578, 267, 789, 2811, 849, 2679, 513, 1804, 11895, 18736, 25880, 1572, 513, 834, 29602, 25810, 1286, 6288, 2437, 4180, 7899, 540, 2230, 585, 3025, 9683, 519, 1858, 780, 1103, 5758, 267, 950, 2576, 16976, 547, 1118, 513, 1713, 5092, 899, 713, 538, 513, 2749, 267, 621, 6770, 2318, 2242, 543, 10761, 269, 3502, 1152, 1281, 621, 948, 4482, 14666, 267, 855, 621, 849, 5932, 6009, 543, 25242, 2199, 4213, 269, 1924, 1985, 942, 596, 1294, 1835, 6951, 610, 4600, 22058, 908, 513, 2679, 538, 707, 4884, 267, 3314, 519, 1761, 1434, 1919, 602, 1522, 2097, 856, 540, 971, 3785, 269, 3767, 979, 6619, 543, 2671, 713, 1650, 609, 707, 2828, 267, 7234, 2081, 596, 1131, 26016, 1125, 2127, 538, 707, 2146, 256, 0, 2080, 568, 606, 1349, 689, 513, 2546, 912, 257, 5522, 753, 585, 513, 24843, 2004, 2929, 5092, 538, 519, 5450, 1886, 1961, 23392, 676, 26344, 12182, 1564, 17290, 1107, 519, 5411, 540, 519, 5450, 1886, 1961, 23392, 267, 595, 1251, 4139, 23392, 543, 595, 1251, 23076, 23392, 1107, 2099, 513, 2189, 1646, 4316, 267, 15202, 513, 25174, 538, 595, 1251, 2749, 779, 8978, 16972, 22588, 563, 307, 3419, 517, 12182, 1564, 17290, 786, 16172, 10505, 513, 4058, 3498, 547, 595, 1251, 4975, 7027, 585, 519, 11599, 1788, 799, 786, 1331, 519, 6213, 1201, 7875, 7321, 543, 7269, 540, 519, 5450, 1886, 1961, 15678, 267, 1927, 609, 519, 4070, 540, 513, 1007, 267, 4207, 4683, 15678, 1572, 2048, 763, 631, 8730, 799, 786, 581, 3710, 593, 606, 11105, 3135, 2282, 4498, 2917, 9335, 563, 763, 1079, 20730, 786, 581, 5532, 676, 513, 4837, 2545, 755, 8565, 8115, 2066, 4498, 2917, 9335, 267, 609, 606, 20583, 8115, 693, 1101, 6989, 1377, 267, 16046, 2048, 763, 631, 685, 15678, 547, 519, 5450, 1886, 1961, 23392, 3246, 2653, 1569, 585, 14538, 547, 782, 15678, 6703, 269, 634, 2949, 1646, 786, 5838, 811, 982, 476, 6110, 15678, 5127, 7741, 538, 519, 2295, 540, 519, 8978, 16972, 22588, 267, 538, 1840, 547, 513, 5595, 25810, 1286, 17328, 3010, 2237, 606, 2502, 543, 3015, 1576, 1770, 538, 513, 1837, 585, 1647, 1153, 1053, 1644, 547, 519, 1349, 1657, 269, 634, 1543, 1058, 581, 3358, 585, 1647, 1153, 1053, 1510, 1991, 1702, 540, 519, 1888, 780, 2521, 547, 1384, 268, 3629, 2143, 3137, 267, 2057, 2930, 3822, 267, 543, 1459, 519, 2093, 538, 513, 3551, 267, 2239, 3159, 563, 268, 3417, 1806, 547, 1118, 519, 1641, 3839, 543, 3078, 585, 1762, 1647, 1153, 1053, 563, 268, 3680, 4304, 519, 1357, 1349, 538, 519, 1837, 269, 1684, 711, 1331, 513, 2140, 610, 2606, 2453, 269, 3399, 1603, 519, 1543, 2047, 269, 0, 4495, 2390, 513, 942, 267, 972, 729, 513, 7874, 14368, 6048, 3957, 15608, 31864, 974, 269, 15608, 6068, 4974, 519, 4365, 543, 4687, 1018, 646, 4121, 609, 1866, 269, 1879, 646, 4718, 2462, 15420, 4947, 267, 646, 1131, 2995, 3025, 547, 3251, 2922, 3330, 780, 3080, 1554, 267, 15608, 4862, 602, 513, 2462, 6777, 10445, 729, 4947, 269, 1261, 6785, 621, 729, 2469, 547, 581, 513, 834, 572, 3164, 4365, 2680, 1701, 2334, 1797, 621, 781, 513, 2731, 2178, 2186, 540, 7088, 269, 898, 1522, 1118, 1004, 1745, 18901, 610, 14126, 269, 1809, 267, 1175, 899, 950, 649, 5957, 938, 4764, 1723, 1846, 1282, 513, 2370, 17643, 267, 972, 616, 1919, 649, 666, 798, 547, 3251, 2922, 1282, 4049, 4365, 2621, 1932, 2439, 297, 4141, 4941, 547, 948, 1004, 1174, 811, 827, 713, 6777, 10445, 267, 865, 646, 5249, 2182, 547, 1711, 1187, 7044, 543, 5961, 7713, 875, 1454, 6777, 547, 2503, 543, 875, 1279, 621, 1131, 2063, 269, 3973, 267, 646, 3838, 891, 609, 7641, 10473, 782, 936, 519, 1747, 256, 634, 7641, 14368, 5505, 1031, 873, 547, 1397, 3214, 543, 6738, 13522, 1018, 789, 2877, 547, 917, 1354, 519, 6777, 8452, 780, 2710, 596, 3314, 4730, 3544, 593, 513, 6777, 344, 1554, 286, 4270, 267, 4952, 952, 972, 941, 14298, 631, 308, 6224, 19301, 8582, 602, 596, 7948, 1405, 1256, 1294, 707, 3659, 7555, 1318, 1985, 547, 596, 256, 6884, 267, 4049, 6777, 28323, 1572, 834, 4565, 11170, 1841, 257, 3142, 602, 1454, 6777, 269, 1358, 849, 2097, 609, 2706, 2178, 12798, 602, 9514, 519, 6777, 1472, 543, 1118, 621, 2182, 547, 1294, 4376, 269, 2334, 781, 1946, 621, 781, 1271, 547, 6432, 547, 15608, 543, 519, 824, 14368, 5505, 950, 789, 2161, 547, 3251, 16280, 1282, 513, 1025, 11170, 731, 910, 649, 1810, 1405, 1616, 4896, 3478, 4503, 538, 782, 602, 6777, 2439, 3086, 267, 1577, 781, 1589, 827, 1776, 1826, 540, 4049, 4365, 2680, 281, 24377, 269, 15049, 21814, 616, 3532, 15420, 602, 1106, 936, 12084, 543, 3142, 6266, 540, 2842, 6730, 4764, 269, 5994, 1373, 9575, 3544, 1247, 835, 540, 1346, 16125, 256, 1411, 9364, 1205, 27762, 2476, 676, 519, 18979, 12798, 543, 546, 27221, 676, 519, 5230, 4764, 269, 3807, 899, 609, 1025, 11170, 1841, 267, 621, 781, 2629, 547, 2628, 3007, 547, 519, 14368, 5505, 1282, 19996, 4005, 269, 1403, 789, 2161, 835, 568, 4947, 267, 621, 781, 1655, 547, 3251, 18241, 3330, 2394, 621, 10596, 780, 299, 3089, 1176, 267, 15608, 31864, 974, 6026, 721, 1082, 2081, 547, 5965, 585, 4049, 4365, 2621, 998, 7641, 2982, 543, 3872, 2326, 269, 1635, 6616, 1018, 547, 798, 6619, 540, 942, 267, 649, 666, 1832, 6000, 267, 2828, 267, 543, 1920, 2818, 2922, 950, 2462, 15420, 5066, 538, 269, 1656, 3884, 1405, 621, 5863, 602, 2576, 899, 15608, 4991, 547, 1353, 1945, 607, 3579, 607, 519, 4365, 1169, 2582, 1554, 286, 9320, 14693, 9358, 786, 1831, 8049, 827, 2470, 543, 3605, 1007, 2081, 547, 1451, 827, 543, 2671, 922, 13300, 2439, 3383, 3314, 267, 2436, 621, 781, 986, 1456, 267, 26124, 267, 610, 6777, 532, 3544, 267, 972, 781, 2141, 1945, 4277, 8345, 538, 519, 6607, 1657, 721, 269, 5901, 6998, 2055, 267, 3695, 267, 543, 1565, 827, 519, 6909, 1158, 1472, 596, 256, 0, 2080, 568, 606, 1349, 689, 513, 2546, 281, 834, 297, 4141, 31864, 974, 568, 513, 5449, 14368, 6048, 543, 2257, 3868, 1807, 945, 814, 1185, 513, 7415, 4876, 538 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

[ 520, 9366, 262, 1281, 711, 27167, 602, 519, 13144, 540, 513, 9608, 9861, 616, 8209, 3186, 1192, 1043, 543, 1875, 268, 564, 1716, 531, 865, 607, 547, 15936, 6038, 609, 519, 18163, 14496, 540, 519, 28174, 553, 269, 1306, 5018, 538, 29447, 583, 328, 910, 519, 28174, 553, 616, 519, 1360, 7362, 540, 519, 31597, 18266, 610, 23347, 2006, 282, 28174, 553, 616, 3976, 3361, 543, 2813, 267, 538, 519, 2631, 540, 23314, 630, 822, 597, 321, 327, 6072, 264, 676, 23347, 2006, 267, 519, 9608, 23347, 2006, 267, 945, 568, 1863, 689, 1169, 7872, 540, 8919, 543, 5470, 543, 568, 519, 18678, 6392, 263, 2194, 320, 1040, 4935, 267, 519, 28174, 553, 616, 3976, 538, 966, 718, 629, 327, 924, 6138, 267, 9444, 533, 4768, 2224, 5984, 630, 2254, 2813, 676, 1022, 1373, 264, 6862, 3284, 4768, 2224, 5984, 630, 553, 966, 20364, 568, 519, 1106, 540, 23347, 2006, 799, 568, 18163, 1040, 28174, 553, 616, 519, 7784, 320, 268, 745, 11985, 540, 23347, 2006, 543, 3976, 1175, 899, 23347, 2006, 267, 28174, 553, 616, 849, 18163, 269, 28174, 553, 616, 1582, 268, 650, 636, 3215, 543, 666, 1152, 13148, 8915, 538, 519, 8186, 540, 2893, 339, 341, 11986, 7919, 630, 328, 4318, 269, 681, 880, 529, 264, 538, 519, 1533, 540, 7663, 611, 6062, 563, 299, 3907, 2065, 6138, 540, 966, 14037, 6478, 454, 763, 1657, 4901, 827, 519, 2470, 540, 28174, 553, 543, 741, 1102, 718, 1043, 14496, 5012, 721, 547, 519, 1985, 1271, 1966, 267, 519, 1966, 540, 519, 10409, 2792, 5473, 1318, 1620, 540, 519, 2495, 540, 1913, 543, 5220, 607, 28078, 676, 873, 269, 2353, 519, 1614, 3344, 540, 1412, 14588, 3663, 262, 642, 714, 519, 5022, 630, 12534, 3534, 1070, 519, 2262, 630, 335, 3385, 264, 543, 519, 4845, 630, 341, 752, 5984, 264, 616, 8449, 18163, 543, 4061, 6209, 538, 1169, 2463, 269, 1717, 267, 621, 568, 519, 4845, 267, 799, 568, 606, 31174, 720, 540, 1913, 267, 602, 568, 22192, 540, 513, 2407, 518, 543, 2347, 2495, 1498, 621, 1131, 581, 2192, 16479, 547, 32230, 540, 621, 538, 10072, 540, 519, 1913, 269, 769, 4641, 267, 519, 4845, 568, 2141, 538, 572, 704, 762, 689, 922, 1913, 602, 1106, 519, 1898, 2474, 540, 922, 2495, 269, 4475, 267, 519, 5022, 267, 519, 1913, 543, 519, 5220, 267, 1142, 540, 799, 568, 18163, 585, 1373, 519, 23314, 540, 23347, 2006, 568, 9176, 609, 543, 22192, 540, 2495, 269, 634, 1360, 2856, 540, 782, 20814, 811, 610, 1447, 4644, 547, 1022, 835, 540, 873, 568, 13061, 543, 2495, 1652, 269, 769, 966, 718, 629, 327, 781, 1062, 267, 1312, 519, 31717, 630, 12112, 7701, 264, 543, 519, 9864, 630, 4621, 12371, 540, 2694, 264, 3344, 540, 17939, 6767, 616, 6444, 593, 519, 4493, 540, 519, 14985, 540, 5164, 3291, 17495, 327, 1301, 553, 2001, 520, 9366, 269, 5272, 4845, 9275, 676, 721, 568, 267, 538, 4641, 267, 606, 19039, 766, 540, 2696, 945, 568, 1010, 10143, 7328, 14753, 873, 998, 721, 269, 4475, 267, 782, 5220, 267, 581, 789, 642, 4660, 11986, 610, 561, 879, 330, 11986, 616, 519, 5220, 540, 519, 2696, 269, 1809, 971, 513, 3069, 1131, 1611, 513, 2347, 3045, 592, 618, 540, 519, 11984, 1063, 1412, 20777, 262, 543, 1412, 514, 20777, 262, 543, 1522, 1175, 6961, 602, 5470, 928, 748, 9794, 906, 267, 1373, 5220, 9275, 676, 2696, 267, 616, 849, 11613, 4570, 269, 634, 2626, 547, 713, 1966, 568, 602, 1498, 519, 2898, 540, 1893, 568, 513, 23314, 543, 642, 1731, 761, 328, 540, 1412, 25537, 3299, 519, 10700, 26453, 6767, 267, 519, 7915, 14496, 540, 513, 4845, 952, 3857, 7007, 676, 519, 7681, 540, 971, 1480, 12889, 607, 1642, 4288, 630, 321, 327, 18769, 1070, 2790, 22178, 1465, 630, 335, 1090, 3385, 264, 1102, 716, 6672, 630, 341, 760, 1537, 2354, 320, 264, 543, 13546, 11797, 540, 12823, 269, 898, 568, 1813, 547, 519, 7681, 540, 519, 12889, 267, 602, 519, 20244, 4570, 4845, 568, 10736, 883, 606, 23380, 543, 5470, 928, 748, 27790, 269, 769, 1010, 10143, 7328, 267, 519, 7083, 11731, 610, 10703, 1023, 519, 824, 2495, 540, 513, 1412, 5320, 262, 543, 28107, 1152, 602, 799, 568, 1031, 538, 8723, 27217, 1612, 28917, 3976, 2870, 513, 11984, 1063, 519, 10096, 540, 1114, 1412, 6919, 3299, 1412, 24393, 262, 543, 1412, 338, 550, 1878, 262, 585, 27217, 6165, 269, 2353, 1913, 610, 5220, 616, 267, 538, 4641, 267, 4412, 8215, 676, 2696, 781, 2019, 819, 543, 789, 6038, 3277, 547, 13924, 18549, 998, 519, 7961, 10179, 762, 4408, 543, 3029, 676, 799, 1261, 5039, 531, 3278, 13924, 1345, 269, 634, 28174, 553, 543, 519, 17939, 6767, 998, 741, 7915, 1494, 1890, 6038, 4766, 23347, 2006, 543, 3571, 22505, 538, 1585, 2081, 563, 5472, 5220, 540, 519, 28174, 553, 723, 3160, 14496, 454, 2304, 1271, 2243, 602, 7031, 909, 568, 2436, 782, 966, 14037, 1913, 543, 5220, 616, 8449, 4570, 610, 711, 269, 4340, 547, 966, 718, 629, 3873, 267, 782, 966, 14037, 1913, 267, 5220, 267, 818, 628, 822, 27885, 267, 538, 1312, 918, 12609, 10275, 7701, 543, 21859, 3570, 10275, 7701, 13980, 540, 28174, 553, 267, 616, 8449, 4570, 543, 972, 568, 1100, 24134, 538, 6236, 519, 835, 607, 3119, 543, 519, 824, 607, 6281, 269, 634, 28174, 553, 607, 513, 2898, 1519, 519, 6341, 327, 26320, 267, 1488, 1415, 752, 553, 267, 543, 519, 772, 20725, 6758, 1775, 4318, 269, 1312, 918, 12609, 10275, 7701, 543, 808, 333, 3570, 10275, 7701, 1058, 581, 8499, 6594, 585, 13844, 513, 1697, 5813, 883, 519, 10700, 2470, 540, 18266, 269, 4340, 547, 966, 718, 629, 3873, 267, 918, 12609, 2173, 574, 4461, 320, 568, 711, 21087, 2065, 547, 808, 333, 3570, 2173, 574, 4461, 320, 607, 9277, 676, 6341, 330, 4673, 282, 538, 5168, 267, 519, 1079, 631, 574, 4461, 553, 616, 14911, 543, 20102, 5363, 563, 763, 4406, 7190, 540, 11310, 538, 966, 718, 629, 3873, 1153, 540, 28174, 9017, 454, 1432, 568, 519, 10018, 602, 1702, 607, 4299, 676, 519, 5106, 540, 891, 533, 1090, 11446, 630, 1889, 753, 540, 1702, 264, 568, 4570, 693, 782, 286, 769, 824, 1913, 267, 875, 666, 835, 581, 2386, 519, 1702, 267, 538, 4641, 267, 568, 32514, 894, 540, 519, 1483, 3197, 267, 16551, 543, 1106, 540, 922, 1843, 286, 6496, 713, 22979, 9114, 538, 519, 1360, 2470, 540, 519, 3812, 1702, 3294, 610, 568, 621, 547, 581, 642, 13224, 338, 2378, 539, 676, 2104, 1351, 13681, 2610, 609, 824, 2959, 543, 2175, 286, 901, 1966, 540, 519, 14496, 540, 1702, 267, 607, 22294, 540, 4095, 26381, 1670, 2079, 267, 814, 1044, 12193, 538, 519, 1114, 10952, 1949, 676, 759, 15659, 547, 835, 540, 519, 2185, 4244, 3435, 563, 268, 5776, 3144, 676, 6341, 330, 1506, 553, 281, 634, 6341, 330, 1506, 553, 3494, 602, 1312, 519, 14496, 543, 1045, 531, 7190, 540, 519, 1702, 568, 1582, 3491, 1386, 630, 12364, 1092, 327, 994, 268, 5776, 3144, 676, 715, 2967, 344, 599, 1731, 553, 281, 634, 715, 2967, 344, 599, 1731, 553, 3494, 602, 1312, 14496, 543, 1045, 531, 7190, 540, 519, 1702, 814, 547, 581, 20240, 608, 27238, 543, 998, 824, 2959, 630, 1706, 1092, 327, 1916, 268, 5776, 3144, 676, 13391, 3291, 13757, 281, 634, 13391, 3291, 13757, 1589, 602, 1412, 514, 1998, 7190, 262, 568, 1582, 17272, 1211, 6466, 1412, 1998, 7190, 262, 568, 9863, 608, 27238, 630, 1706, 1092, 327, 1916, 268, 5776, 3144, 676, 631, 574, 4461, 752, 553, 630, 18485, 1625, 9366, 543, 579, 1777, 4673, 2567, 634, 3610, 540, 966, 20364, 267, 602, 568, 631, 574, 4461, 752, 553, 2226, 602, 14496, 568, 1582, 3491, 1386, 855, 1045, 531, 7190, 3340, 5007, 6169, 563, 268, 5776, 3144, 676, 966, 718, 629, 3873, 281, 634, 966, 718, 629, 327, 924, 3069, 593, 519, 2243, 540, 519, 14496, 540, 1702, 568, 899, 513, 2021, 945, 568, 3368, 1762, 543, 3368, 2025, 282, 519, 1483, 2953, 2626, 547, 713, 1966, 568, 547, 11760, 602, 1498, 1702, 568, 20244, 1582, 268, 20777, 2943, 1141, 621, 568, 3361, 543, 568, 896, 519, 3310, 540, 3965, 922, 14496, 1058, 581, 4956, 1152, 1310, 30599, 4011, 908, 922, 11240, 725, 609, 824, 970, 8735, 748, 630, 6781, 268, 2169, 571, 264, 20209, 1878, 267, 2175, 543, 5013, 540, 1702, 1317, 13829, 593, 3965, 543, 519, 2250, 1606, 4461, 22894, 553, 1360, 1419, 5012, 711, 1152, 547, 23696, 2534, 855, 547, 1642, 4288, 1932, 269, 4935, 267, 519, 14496, 540, 1702, 827, 1022, 1995, 762, 1843, 630, 24792, 2033, 264, 1058, 581, 24019, 676, 824, 970, 8735, 748, 20209, 1878, 269, 1717, 267, 2094, 23347, 2006, 568, 1152, 1995, 762, 676, 2893, 339, 341, 11986, 12823, 267, 519, 1152, 1259, 547, 19472, 519, 1702, 827, 13924, 568, 998, 28174, 553, 676, 6236, 621, 607, 1582, 268, 20777, 269, 0, 294, 1905, 515, 928, 910, 513, 1395, 565, 9707, 540, 3327, 8444, 29822, 14095, 538, 513, 9932, 18474, 24775, 910, 729, 9678, 585, 519, 1101, 942, 538, 476, 1220, 275, 543, 267, 2094, 1287, 267, 814, 3964, 3294, 607, 835, 540, 519, 1034, 7415, 2326, 2139, 547, 27772, 2339, 3744, 2221, 269, 7869, 25221, 513, 2898, 8552, 540, 6419, 9259, 538, 22130, 267, 1519, 1896, 6127, 585, 17271, 7542, 668, 24599, 1143, 543, 8095, 268, 867, 1359, 2360, 602, 8451, 1813, 547, 922, 1970, 1673, 574, 3290, 1275, 543, 3810, 8966, 5907, 3601, 630, 324, 3052, 269, 4144, 2350, 6438, 8552, 1040, 769, 713, 8097, 960, 267, 590, 12702, 2839, 630, 21841, 17238, 532, 17747, 3955, 12401, 27620, 264, 6419, 7403, 723, 1044, 5645, 856, 538, 22130, 22495, 919, 609, 13999, 909, 547, 9881, 486, 8406, 5833, 676, 24318, 21319, 608, 9110, 2747, 540, 3810, 20218, 7510, 26299, 6776, 27948, 630, 295, 8008, 294, 264, 538, 715, 2173, 14007, 1790, 10455, 1503, 573, 821, 630, 301, 6573, 1040, 2480, 8911, 6475, 22794, 630, 306, 4932, 264, 543, 2473, 11920, 32250, 6901, 7000, 602, 519, 22495, 919, 616, 1500, 540, 1232, 537, 9482, 22130, 16358, 2572, 609, 6093, 1166, 820, 2450, 2630, 476, 2004, 16354, 269, 26994, 3196, 22794, 630, 28425, 300, 264, 7403, 5645, 856, 585, 22130, 7080, 5014, 24797, 5196, 513, 13961, 302, 273, 14041, 4847, 519, 6284, 540, 6094, 16358, 2572, 1997, 762, 547, 2582, 543, 5595, 2000, 9707, 22130, 269, 2473, 11920, 12165, 633, 28264, 630, 311, 27184, 264, 543, 6475, 12165, 633, 32250, 630, 3633, 311, 264, 9672, 519, 22495, 919, 3114, 19454, 609, 9000, 540, 8407, 543, 5924, 6419, 538, 7501, 269, 623, 2077, 710, 22495, 919, 8858, 4354, 773, 4164, 24599, 1143, 18476, 2630, 9881, 486, 476, 2004, 918, 267, 799, 8309, 547, 827, 835, 4090, 829, 16358, 924, 693, 476, 273, 918, 269, 634, 22495, 919, 616, 9244, 5603, 8568, 267, 4352, 513, 6175, 540, 519, 5603, 8568, 18687, 676, 827, 1614, 2053, 609, 2463, 547, 27948, 729, 4767, 585, 4610, 4294, 13902, 569, 547, 519, 705, 7077, 269, 634, 1482, 22130, 22495, 919, 941, 6964, 607, 513, 4704, 1062, 547, 1353, 11275, 1143, 540, 1448, 12889, 267, 971, 607, 14806, 710, 740, 520, 1682, 543, 7477, 17473, 6383, 998, 9357, 23735, 2747, 269, 634, 796, 3711, 27631, 8095, 1871, 808, 284, 272, 270, 273, 1336, 585, 1312, 2249, 540, 12889, 25495, 7811, 6788, 269, 769, 519, 2013, 540, 14806, 710, 8444, 513, 6419, 4090, 540, 476, 272, 18725, 289, 829, 9881, 486, 476, 1911, 271, 740, 520, 1682, 729, 5833, 267, 2404, 547, 519, 12402, 540, 14806, 710, 547, 12440, 538, 22130, 269, 28820, 17473, 3812, 513, 1871, 540, 519, 6419, 4090, 1454, 6251, 547, 519, 4397, 476, 272, 18725, 289, 585, 1448, 12889, 269, 3143, 1129, 540, 8919, 1644, 7542, 668, 24599, 1143, 729, 4767, 269, 2201, 519, 824, 1688, 267, 938, 1353, 5340, 593, 24857, 5336, 31813, 670, 8008, 294, 14848, 630, 1492, 1482, 7550, 585, 519, 21753, 540, 938, 22130, 22495, 919, 1070, 7000, 7542, 11424, 6786, 909, 547, 476, 274, 4501, 503, 1015, 268, 274, 900, 340, 17320, 269, 645, 2931, 322, 30568, 6475, 22794, 630, 18778, 1070, 5340, 7258, 11581, 311, 3114, 2079, 267, 9672, 602, 519, 4767, 6419, 7180, 568, 1813, 547, 7542, 11424, 538, 7501, 267, 971, 607, 11275, 924, 543, 5707, 8457, 2173, 24599, 924, 269, 4475, 267, 4617, 543, 14605, 10063, 24862, 7542, 11424, 6438, 6786, 538, 22130, 22495, 919, 941, 11911, 547, 519, 1482, 8764, 725, 1459, 538 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

[ 0, 12163, 16524, 652, 6022, 30308, 454, 11693, 513, 5569, 799, 5161, 540, 27608, 610, 26627, 27664, 5022, 267, 1265, 519, 3259, 540, 519, 13074, 5493, 785, 27689, 602, 666, 581, 3710, 609, 1346, 5022, 780, 1607, 568, 2013, 6213, 267, 585, 1383, 834, 288, 320, 257, 568, 711, 2808, 513, 5493, 30308, 1934, 780, 9616, 912, 10112, 2541, 519, 3259, 540, 2016, 5569, 786, 711, 9765, 476, 272, 267, 18089, 780, 7078, 1384, 19152, 912, 257, 629, 764, 764, 9536, 5016, 20479, 912, 278, 692, 15008, 912, 3080, 13074, 5493, 30308, 602, 666, 581, 3710, 568, 834, 323, 764, 3147, 323, 2580, 4171, 3259, 568, 476, 278, 563, 12163, 5035, 8827, 912, 825, 1219, 13074, 21595, 30308, 4311, 267, 521, 281, 1193, 264, 9847, 703, 912, 1038, 1293, 815, 1496, 271, 30297, 7367, 454, 1038, 585, 1347, 538, 521, 912, 2018, 607, 857, 328, 815, 3921, 263, 10420, 994, 2018, 952, 607, 857, 328, 3436, 476, 5038, 543, 607, 857, 328, 2999, 476, 11011, 912, 3546, 1293, 314, 30913, 328, 268, 4792, 316, 23785, 272, 454, 2018, 3116, 912, 3546, 1293, 27007, 30913, 328, 268, 9032, 11924, 1839, 316, 23785, 272, 454, 1038, 1820, 4433, 636, 6262, 870, 4917, 1038, 10917, 318, 1245, 815, 1496, 271, 2639, 1038, 1256, 318, 637, 815, 476, 271, 454, 1038, 1256, 318, 21671, 18989, 454, 1038, 585, 1775, 538, 1293, 912, 2018, 952, 1775, 260, 273, 2652, 271, 912, 3546, 1256, 318, 637, 23785, 328, 454, 2018, 3116, 912, 3546, 1256, 318, 21671, 815, 8771, 454, 3546, 1256, 318, 637, 23785, 328, 268, 272, 692, 1038, 952, 1256, 318, 21671, 912, 2018, 2132, 1256, 318, 637, 454, 1038, 3116, 912, 2018, 2132, 1256, 318, 637, 266, 272, 19638, 28128, 815, 8827, 4590, 2745, 263, 28128, 7456, 784, 652, 21595, 30308, 2891, 6277, 257, 4297, 0, 12163, 14737, 3065, 10606, 540, 9577, 595, 8712, 547, 5269, 27010, 26275, 454, 27165, 20504, 539, 281, 271, 454, 27165, 570, 3072, 281, 271, 454, 13707, 20504, 539, 281, 271, 454, 13707, 4427, 332, 3827, 281, 271, 454, 11795, 22187, 281, 8469, 1756, 7531, 7312, 4305, 568, 547, 1106, 606, 8870, 5044, 15358, 689, 606, 3355, 5044, 540, 21325, 2855, 602, 568, 519, 1482, 2450, 607, 15358, 780, 27987, 519, 5934, 1297, 540, 1599, 7125, 547, 1118, 15358, 689, 2855, 780, 763, 2626, 568, 16798, 547, 3514, 538, 513, 476, 3953, 19229, 9896, 8870, 780, 8528, 7078, 476, 272, 1384, 19152, 281, 15358, 815, 1496, 272, 267, 276, 2639, 20479, 281, 476, 276, 454, 15008, 281, 9214, 618, 676, 476, 272, 630, 16149, 3693, 2567, 1496, 271, 267, 476, 271, 316, 547, 1205, 1496, 271, 267, 476, 272, 316, 630, 272, 5106, 1916, 291, 19302, 782, 519, 2609, 281, 1496, 271, 267, 476, 272, 316, 9847, 1496, 271, 267, 476, 273, 316, 9847, 1496, 271, 267, 476, 275, 316, 630, 273, 4238, 1916, 19102, 618, 676, 476, 272, 630, 18485, 2609, 264, 476, 1496, 271, 267, 476, 275, 316, 9847, 1496, 272, 267, 476, 275, 316, 9847, 1496, 272, 267, 476, 276, 316, 630, 273, 4238, 1916, 13707, 540, 4238, 281, 476, 272, 1341, 476, 273, 1341, 476, 273, 815, 476, 276, 563, 7078, 476, 273, 1384, 19152, 281, 15358, 815, 1496, 273, 267, 273, 2639, 20479, 281, 476, 274, 454, 15008, 281, 9214, 618, 676, 476, 272, 630, 18485, 2609, 264, 1496, 271, 267, 476, 271, 316, 9847, 1496, 271, 267, 476, 272, 316, 9847, 1496, 272, 267, 476, 272, 316, 630, 273, 4238, 1916, 291, 19302, 782, 519, 2609, 281, 1496, 272, 267, 476, 272, 316, 9847, 1496, 273, 267, 476, 273, 316, 630, 272, 5106, 1916, 13707, 540, 4238, 281, 476, 273, 1341, 476, 272, 815, 476, 274, 563, 7078, 476, 274, 1384, 19152, 281, 15358, 815, 1496, 275, 267, 273, 267, 276, 2639, 20479, 281, 476, 277, 454, 15008, 281, 630, 30976, 25011, 271, 267, 271, 267, 271, 316, 9847, 1496, 272, 267, 271, 267, 271, 316, 9847, 1496, 272, 267, 271, 267, 272, 316, 9847, 1496, 273, 267, 271, 267, 273, 316, 9847, 1496, 273, 267, 272, 267, 273, 316, 9847, 1496, 275, 267, 273, 267, 275, 316, 9847, 1496, 275, 267, 273, 267, 276, 28488, 333, 4548, 1916, 7078, 476, 275, 1384, 19152, 281, 15358, 815, 1496, 274, 267, 273, 267, 273, 267, 275, 2639, 20479, 281, 476, 278, 454, 7078, 476, 276, 1384, 19152, 281, 15358, 815, 1496, 273, 267, 275, 267, 279, 267, 1626, 2639, 20479, 281, 476, 279, 454, 8528, 3519, 14259, 6493, 1384, 272, 10922, 15358, 32324, 10922, 476, 1015, 317, 276, 454, 271, 10922, 15358, 5157, 316, 10922, 476, 1015, 317, 280, 454, 20701, 5035, 8827, 912, 825, 1219, 10246, 1597, 4311, 267, 15358, 2187, 1038, 10917, 18989, 454, 1038, 585, 1775, 538, 2039, 12759, 25225, 15892, 2018, 952, 15358, 5157, 316, 4939, 273, 11203, 271, 912, 3546, 2132, 8771, 28329, 1038, 2132, 10917, 7531, 825, 1219, 1295, 23330, 725, 4311, 267, 15358, 2187, 1038, 1293, 284, 271, 454, 1038, 562, 284, 6352, 25225, 994, 1038, 4642, 19571, 17342, 271, 30297, 333, 454, 1038, 1820, 25225, 994, 1038, 1247, 263, 14706, 19571, 11203, 15358, 2187, 2018, 585, 1775, 538, 2039, 3799, 2187, 3546, 952, 15358, 5157, 316, 260, 273, 2652, 272, 543, 15358, 5157, 316, 256, 284, 271, 543, 4642, 19571, 11203, 15358, 912, 7386, 15358, 5157, 316, 268, 284, 272, 454, 7386, 1293, 23785, 272, 454, 4449, 8931, 2018, 1820, 25225, 267, 1293, 994, 2018, 952, 1582, 269, 4150, 1597, 25225, 264, 543, 4642, 19571, 11203, 15358, 912, 3546, 15358, 17342, 703, 9217, 270, 273, 264, 585, 1775, 538, 15358, 2639, 3546, 1293, 23785, 272, 454, 2018, 1820, 25225, 267, 1293, 994, 27030, 4449, 672, 692, 1038, 2132, 1293, 7531, 28128, 284, 11405, 4590, 2745, 263, 28128, 269, 2381, 23330, 725, 8443, 273, 267, 275, 267, 279, 267, 1626, 316, 4297, 0, 12163, 785, 2353, 13660, 27289, 538, 606, 26275, 454, 11693, 606, 5044, 540, 9981, 267, 476, 272, 18016, 513, 5157, 316, 18016, 562, 630, 333, 815, 2450, 540, 5044, 1070, 930, 2609, 2408, 7466, 543, 1866, 2408, 2899, 780, 8340, 782, 519, 2609, 602, 2408, 7466, 538, 713, 5044, 780, 27745, 596, 798, 621, 1510, 3063, 2230, 543, 538, 744, 3799, 264, 678, 29025, 2496, 7078, 912, 19152, 912, 314, 275, 267, 274, 267, 273, 267, 278, 267, 279, 267, 273, 267, 274, 267, 272, 6540, 20479, 912, 314, 273, 267, 274, 2639, 12163, 5814, 2979, 454, 5035, 8827, 912, 825, 1219, 1265, 291, 340, 27289, 4311, 267, 15358, 2187, 1038, 1267, 17342, 2639, 1038, 585, 1775, 538, 2039, 12759, 25225, 15892, 2018, 4994, 815, 2612, 25225, 5157, 8079, 910, 272, 454, 2018, 952, 630, 333, 4548, 27709, 316, 2999, 476, 271, 2187, 3546, 1267, 6910, 263, 8161, 266, 272, 994, 2018, 1948, 6665, 1243, 4994, 4957, 547, 519, 2942, 1871, 454, 2018, 15358, 27709, 316, 15871, 333, 4548, 27709, 2639, 2018, 1948, 2745, 25225, 267, 1775, 267, 4994, 994, 1038, 2132, 1267, 454, 28128, 815, 8827, 4590, 2745, 263, 28128, 26098, 291, 340, 27289, 8443, 275, 267, 274, 267, 273, 267, 278, 267, 279, 267, 273, 267, 274, 267, 272, 316, 4297, 0, 5228, 10070, 1104, 22388, 19638, 3698, 4015, 325, 15635, 29495, 272, 267, 8675, 272, 267, 1883, 272, 267, 1130, 272, 267, 20952, 267, 1592, 272, 2187, 825, 1948, 3503, 707, 3009, 1934, 454, 825, 1257, 29999, 815, 15044, 29495, 272, 21858, 2891, 27328, 825, 1820, 5560, 1112, 18154, 3300, 29495, 29999, 21875, 825, 1820, 263, 1883, 272, 267, 1130, 272, 267, 1592, 272, 994, 8931, 825, 4831, 272, 815, 476, 22388, 5560, 5315, 272, 994, 825, 4831, 273, 815, 22388, 263, 4765, 10631, 2020, 825, 4831, 272, 16553, 339, 847, 6262, 3300, 273, 994, 825, 1820, 5560, 1112, 6262, 3300, 272, 11723, 825, 9598, 274, 28121, 8679, 825, 1775, 284, 271, 454, 825, 585, 1535, 11971, 538, 630, 32502, 31107, 272, 267, 1998, 272, 15892, 1038, 952, 1775, 11203, 272, 281, 13872, 2018, 9598, 274, 20572, 24557, 344, 454, 1038, 1775, 23785, 272, 28329, 825, 9598, 274, 314, 4486, 272, 314, 272, 14963, 284, 1998, 272, 314, 272, 2639, 825, 1820, 5560, 1112, 274, 2020, 825, 9598, 275, 28121, 8679, 825, 9642, 17342, 2639, 825, 1256, 17342, 2639, 825, 585, 1990, 538, 1592, 272, 912, 1038, 952, 1990, 260, 273, 2525, 271, 912, 2018, 1256, 6910, 18750, 994, 1038, 3116, 912, 2018, 9642, 6910, 18750, 994, 825, 952, 7003, 263, 15957, 264, 3436, 476, 271, 912, 1038, 9598, 275, 9131, 15957, 11172, 284, 15957, 692, 825, 952, 7003, 16216, 1597, 264, 3436, 271, 912, 1038, 9598, 275, 9131, 16838, 11172, 284, 16838, 454, 825, 1820, 5560, 1112, 275, 9239, 3712, 3005, 325, 15635, 2891, 6011, 1082, 2053, 1281, 1142, 2262, 1397, 909, 538, 713, 4845, 2262, 2053, 1142, 1142, 2262, 2580, 27835, 272, 9166, 476, 274, 267, 1412, 273, 9166, 476, 275, 267, 1412, 1321, 9166, 476, 273, 267, 1412, 1691, 9166, 476, 277, 9574, 18358, 320, 3299, 1412, 321, 3299, 1412, 322, 11172, 2073, 314, 272, 267, 476, 273, 267, 476, 274, 3910, 27835, 272, 9166, 476, 271, 267, 1412, 1691, 9166, 476, 273, 9574, 1496, 272, 267, 476, 274, 267, 476, 276, 267, 476, 278, 267, 476, 280, 267, 476, 1015, 8079, 0, 12163, 25699, 18258, 692, 3519, 13935, 1362, 4214, 540, 8849, 3060, 454, 663, 930, 3730, 3252, 454, 20701, 5814, 11885, 607, 5286, 692, 5035, 715, 301, 912, 825, 8173, 825, 22532, 3060, 1362, 4214, 454, 825, 8173, 825, 1219, 6449, 8181, 9191, 1345, 2187, 1038, 8173, 1038, 19461, 1047, 9949, 1942, 1599, 543, 11852, 454, 1038, 8173, 1038, 1582, 6983, 739, 6958, 15635, 815, 28065, 21798, 454, 1038, 1582, 269, 716, 10474, 6958, 15635, 815, 590, 31451, 454, 1038, 1582, 8807, 1400, 318, 716, 10474, 815, 590, 31451, 692, 825, 1219, 1305, 6831, 739, 4311, 267, 1942, 6958, 15635, 2187, 1038, 8173, 1038, 30498, 519, 1942, 1599, 547, 1945, 824, 982, 9949, 563, 1038, 1942, 6958, 15635, 1058, 581, 513, 1362, 5627, 1412, 325, 333, 262, 543, 1412, 23169, 262, 11979, 2409, 454, 1038, 8173, 1038, 1582, 6983, 739, 6958, 15635, 815, 1942, 6958, 15635, 692, 825, 1219, 1305, 318, 716, 10474, 4311, 267, 957, 6958, 15635, 2187, 1038, 8173, 1038, 30498, 11852, 1599, 563, 1038, 18771, 581, 513, 1362, 5627, 1412, 325, 333, 262, 543, 1412, 1457, 643, 262, 11979, 2409, 454, 1038, 8173, 1038, 1582, 269, 716, 10474, 6958, 15635, 815, 957, 6958, 15635, 692, 825, 1219, 1305, 6958, 1400, 318, 716, 10474, 4311, 267, 3803, 318, 716, 6958, 15635, 2187, 1038, 8173, 1038, 30498, 3803, 11852, 1599, 563, 1038, 18771, 581, 513, 1362, 5627, 1412, 325, 333, 262, 543, 1412, 1457, 643, 262, 11979, 2409, 454, 1038, 8173, 1038, 1582, 8807, 1400, 318, 716, 10474, 815, 3803, 318, 716, 6958, 15635, 692, 825, 1219, 1305, 9078, 16558, 4311, 267, 6106, 2187, 1038, 8173, 1038, 570, 1389, 1592, 540, 9981, 1496, 320, 267, 536, 267, 524, 267, 3267, 2639, 1038, 543, 5036, 519, 6106, 540, 519, 3060, 547, 581, 540, 2450, 513, 267, 536, 267, 524, 267, 4429, 1038, 8173, 1038, 1582, 8542, 636, 9078, 16558, 815, 7003, 10857, 16558, 994, 1038, 1582, 7456, 9707, 5334, 3278, 815, 6106, 692, 825, 1219, 2332, 318, 30135, 318, 663, 318, 6798, 1162, 4311, 2187, 1038, 8173, 1038, 19461, 2478, 519, 12035, 543, 12886, 540, 519, 3060, 454, 1038, 1210, 3044, 3339, 3892, 454, 1038, 8173, 1038, 1948, 12886, 711, 1305, 585, 1101, 4494, 454, 1038, 1582, 269, 6798, 1162, 815, 1496, 12639, 20179, 20120, 333, 10857, 267, 476, 272, 264, 585, 561, 538, 1582, 7456, 9707, 5334, 3278, 314, 272, 281, 27663, 1038, 1582, 269, 30135, 815, 1496, 12639, 20179, 20120, 333, 10857, 273, 267, 561, 272, 8358, 12639, 28460, 10857, 272, 264, 585, 561, 272, 267, 561, 273, 538, 454, 3546, 23407, 4311, 7456, 9707, 5334, 3278, 11468, 268, 272, 3910, 1582, 7456, 9707, 5334, 3278, 314, 272, 281, 8079, 6540, 825, 1219, 2332, 318, 30135, 318, 663, 318, 6798, 1162, 9078, 1618, 4311, 2187, 1038, 8173, 1038, 19461, 2478, 519, 12035, 543, 12886, 540, 519, 3060, 454, 1038, 1210, 3044, 3339, 3892, 454, 1038, 8074, 602, 713, 1419, 3947, 1360, 1804, 1437, 725, 543, 568, 711, 454, 1038, 5227, 563, 1038, 8173, 1038, 1948, 12886, 711, 1305, 585, 1101, 4494, 454, 1038, 1582, 269, 6798, 1162, 815, 1496, 12639, 20179, 20120, 333, 10857, 267, 476, 272, 264, 585, 561, 538, 1582 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

[ 269, 15233, 547, 2960, 563, 292, 1186, 558, 17865, 7027, 8940, 269, 10134, 1682, 5306, 322, 1735, 4290, 3820, 454, 27751, 593, 12559, 26975, 540, 13101, 23253, 630, 292, 1186, 558, 20919, 264, 2066, 519, 2960, 3220, 681, 295, 654, 2130, 3427, 540, 645, 3930, 31190, 267, 2160, 540, 27257, 269, 645, 1428, 476, 273, 22721, 267, 772, 14389, 269, 18078, 17106, 11333, 3820, 454, 8505, 1143, 267, 1323, 26184, 7420, 547, 6715, 13577, 6925, 269, 3487, 4083, 281, 6481, 5004, 623, 1551, 529, 631, 269, 918, 1342, 267, 12854, 20010, 6925, 5623, 2073, 11730, 476, 278, 267, 7089, 476, 277, 267, 476, 1220, 273, 5291, 2517, 4178, 8542, 322, 15501, 2593, 270, 14895, 270, 8505, 1143, 260, 736, 22025, 1113, 260, 736, 6944, 1026, 21881, 260, 736, 26502, 15005, 0, 10387, 1176, 5682, 324, 7195, 577, 4607, 519, 476, 3707, 277, 17587, 13458, 15356, 563, 9213, 267, 1247, 2542, 1433, 8039, 538, 519, 654, 306, 297, 267, 649, 4718, 14667, 5018, 269, 634, 6249, 540, 519, 2835, 1373, 12649, 18808, 609, 519, 14232, 11812, 540, 519, 476, 866, 628, 14821, 540, 519, 772, 2529, 269, 9139, 563, 11693, 1200, 21519, 267, 649, 9289, 952, 1352, 729, 513, 13956, 656, 540, 8861, 630, 294, 731, 1676, 264, 7195, 577, 945, 5030, 538, 30094, 569, 267, 10790, 269, 898, 7140, 856, 602, 1352, 568, 267, 607, 3254, 538, 713, 26264, 21698, 9043, 269, 2368, 6011, 267, 649, 14406, 1200, 538, 938, 4505, 5619, 543, 723, 3773, 1200, 547, 519, 1592, 540, 7338, 8493, 1676, 18939, 593, 9504, 563, 15463, 3237, 941, 14731, 966, 1120, 23888, 7195, 577, 543, 31130, 12756, 715, 1195, 525, 269, 1284, 786, 581, 3168, 693, 519, 1920, 513, 2370, 6251, 607, 1134, 607, 3478, 811, 883, 713, 267, 543, 2404, 267, 1641, 2339, 269, 4173, 9905, 1131, 723, 1044, 540, 519, 5108, 540, 7788, 781, 20516, 945, 729, 513, 22206, 4048, 626, 563, 8170, 3735, 267, 649, 723, 3323, 547, 1413, 693, 519, 772, 2529, 269, 5481, 609, 513, 1715, 4789, 4704, 269, 1284, 917, 602, 9098, 729, 1934, 1991, 547, 623, 569, 17625, 269, 1306, 1134, 267, 649, 786, 2015, 519, 1995, 540, 824, 2477, 563, 10387, 1176, 1131, 723, 1044, 519, 476, 279, 628, 610, 476, 280, 628, 5108, 540, 519, 12590, 3099, 563, 763, 476, 276, 628, 3576, 519, 20015, 660, 540, 519, 7169, 609, 930, 540, 519, 476, 275, 628, 941, 1869, 1934, 607, 519, 4587, 5108, 269, 898, 729, 519, 476, 278, 628, 5108, 602, 3459, 547, 3489, 519, 12587, 540, 519, 1007, 2197, 538, 3964, 2127, 609, 1866, 14178, 519, 2197, 998, 8062, 540, 20281, 2713, 269, 1284, 666, 1413, 693, 519, 2663, 5481, 267, 1932, 563, 15987, 621, 949, 3100, 602, 649, 616, 6236, 519, 1434, 2053, 267, 649, 5431, 602, 2101, 2042, 1869, 11478, 936, 713, 942, 1974, 4171, 3070, 1131, 2097, 2663, 610, 568, 1869, 533, 2056, 563, 7230, 10225, 281, 3525, 1881, 281, 476, 5400, 270, 2764, 270, 1708, 271, 454, 5400, 270, 1691, 270, 1708, 271, 4534, 13191, 5410, 4461, 729, 519, 1101, 1977, 4807, 547, 3094, 519, 17587, 13458, 15356, 538, 476, 4350, 272, 269, 4173, 22660, 4607, 1010, 2244, 9886, 689, 5261, 24282, 269, 13191, 781, 3237, 6410, 547, 7187, 13325, 538, 476, 7277, 275, 563, 5400, 270, 1626, 270, 1708, 271, 4534, 2201, 3257, 930, 1382, 593, 14667, 267, 594, 1294, 602, 1200, 22660, 781, 2985, 814, 1044, 12995, 269, 898, 568, 606, 1383, 602, 649, 1223, 1246, 281, 3627, 7195, 577, 269, 18564, 602, 891, 2038, 4515, 3796, 616, 1373, 9141, 676, 519, 4279, 24779, 5741, 269, 1284, 267, 519, 570, 14899, 267, 616, 4543, 12575, 519, 9043, 585, 7338, 630, 5408, 1318, 10624, 1040, 0, 6826, 10558, 267, 19415, 543, 4676, 2224, 547, 581, 8125, 550, 454, 763, 2621, 540, 713, 3923, 4478, 519, 12638, 540, 6723, 4469, 20477, 543, 519, 1857, 856, 322, 787, 602, 4553, 814, 1082, 540, 721, 21679, 609, 1018, 649, 666, 798, 547, 581, 851, 540, 519, 3070, 543, 581, 606, 909, 1056, 518, 585, 5126, 267, 9698, 267, 4550, 268, 2350, 1143, 267, 543, 3356, 269, 901, 568, 513, 2603, 585, 1053, 547, 1184, 267, 2523, 538, 10072, 1282, 513, 6855, 9808, 9853, 609, 922, 10462, 543, 12194, 269, 4841, 949, 3914, 856, 547, 596, 609, 2055, 267, 4145, 267, 10845, 267, 17140, 267, 543, 16236, 563, 2026, 7855, 267, 649, 723, 513, 5539, 547, 4225, 938, 1053, 262, 5030, 2833, 538, 26655, 519, 1898, 2055, 649, 2232, 538, 938, 6437, 269, 634, 8810, 2853, 32486, 538, 519, 1647, 543, 1164, 1153, 524, 643, 923, 10421, 607, 1134, 607, 519, 1007, 13325, 1514, 2090, 4441, 1489, 971, 18129, 269, 1284, 798, 711, 723, 782, 540, 519, 4267, 267, 855, 649, 666, 581, 1459, 585, 938, 1053, 267, 6432, 547, 741, 4145, 267, 543, 20549, 547, 581, 14980, 269, 1656, 538, 891, 15377, 267, 649, 666, 2203, 585, 938, 1053, 602, 621, 568, 15502, 547, 581, 13347, 543, 18901, 1247, 7234, 1018, 649, 666, 798, 538, 938, 2950, 547, 1491, 5483, 2962, 585, 11528, 1689, 563, 14807, 2209, 798, 711, 991, 547, 25500, 891, 7297, 4805, 269, 3509, 18523, 1565, 4891, 723, 2813, 7028, 585, 891, 24360, 2053, 563, 290, 643, 923, 769, 634, 5664, 6732, 14400, 19113, 10022, 454, 268, 10765, 13325, 5746, 341, 923, 3820, 5816, 2022, 902, 723, 3838, 4555, 827, 5668, 27701, 519, 21931, 543, 1472, 875, 11572, 20309, 568, 3776, 15484, 585, 27834, 563, 268, 834, 4131, 781, 3619, 1703, 281, 10435, 513, 8865, 585, 17813, 267, 23532, 640, 543, 513, 700, 1882, 595, 643, 923, 13979, 547, 595, 15960, 4065, 257, 568, 513, 1867, 538, 799, 519, 4589, 595, 4331, 28137, 267, 15608, 918, 1695, 928, 267, 543, 25014, 3821, 21244, 1118, 519, 2013, 602, 267, 834, 322, 15960, 7855, 543, 15156, 1590, 2327, 602, 3007, 547, 5198, 267, 3961, 267, 543, 519, 5030, 2833, 540, 6107, 616, 3844, 2609, 540, 18523, 2069, 3646, 2443, 1018, 649, 1289, 700, 1882, 595, 643, 923, 4799, 268, 3798, 583, 18701, 2813, 513, 6651, 547, 24054, 543, 14640, 7304, 659, 1143, 585, 30451, 563, 268, 634, 13325, 14195, 7467, 543, 4065, 4741, 814, 3370, 513, 4762, 1258, 1154, 670, 622, 15484, 18145, 563, 268, 9752, 570, 16260, 5063, 3370, 513, 5816, 609, 2200, 1572, 834, 288, 742, 15256, 4563, 22032, 9453, 1473, 24976, 23247, 4799, 268, 674, 5217, 3778, 543, 3776, 2383, 814, 2994, 543, 2200, 585, 834, 293, 29183, 513, 14484, 633, 15858, 257, 543, 3370, 513, 3210, 547, 2487, 2621, 563, 268, 715, 6311, 292, 3370, 834, 2467, 1772, 3143, 7442, 11823, 15858, 281, 8249, 585, 9752, 538, 1452, 8648, 4799, 268, 634, 2817, 7467, 540, 3979, 1977, 3778, 543, 9177, 1175, 3370, 741, 834, 307, 22736, 6168, 17813, 257, 1357, 22045, 563, 268, 4427, 18285, 547, 519, 5240, 17402, 5741, 781, 20394, 834, 763, 590, 3424, 257, 547, 1205, 12353, 10311, 547, 948, 596, 4990, 998, 32422, 267, 11876, 31320, 267, 543, 824, 25749, 827, 1699, 2621, 563, 268, 4065, 10432, 3838, 476, 1428, 15858, 8249, 585, 9181, 532, 32641, 267, 2717, 6005, 267, 543, 14308, 563, 268, 918, 304, 3633, 814, 513, 5816, 2022, 13760, 267, 6258, 267, 543, 2920, 281, 9752, 769, 519, 11068, 560, 540, 7136, 5019, 3949, 585, 4563, 22032, 585, 1489, 1472, 4116, 8086, 267, 2875, 4901, 267, 543, 4928, 1514, 15041, 10899, 1134, 5630, 563, 268, 634, 9533, 5063, 3370, 713, 2219, 4538, 4062, 593, 834, 1432, 14640, 7304, 659, 626, 11334, 798, 7756, 569, 4799, 268, 9628, 15332, 5063, 18799, 513, 1357, 14373, 267, 834, 4462, 17569, 532, 6519, 17658, 850, 613, 281, 1215, 547, 2142, 513, 6519, 1325, 569, 543, 606, 14640, 7304, 659, 626, 2437, 543, 26940, 513, 32367, 547, 1489, 713, 960, 563, 268, 3220, 269, 28120, 4144, 17951, 601, 334, 267, 519, 2278, 540, 834, 19669, 32746, 1006, 2437, 729, 26906, 676, 29849, 23720, 267, 3798, 269, 667, 1421, 19608, 8111, 23734, 550, 270, 32459, 7625, 540, 5345, 534, 8725, 24104, 1222, 4400, 3427, 269, 769, 1769, 540, 1699, 2621, 267, 713, 7731, 11059, 8416, 1357, 14373, 9619, 7965, 7234, 7292, 13253, 543, 10168, 267, 11528, 10168, 267, 543, 875, 547, 1184, 543, 5431, 835, 781, 1378, 17499, 9186, 563, 2005, 568, 711, 1932, 3735, 547, 11578, 585, 519, 2034, 3368, 540, 519, 13325, 290, 643, 923, 3820, 4832, 19113, 3126, 547, 1489, 519, 476, 277, 268, 1321, 524, 643, 923, 31433, 269, 15012, 519, 15966, 768, 1157, 7690, 543, 519, 13325, 595, 643, 923, 19019, 531, 3213, 2851, 585, 513, 3126, 540, 1357, 21577, 2966, 547, 3986, 4116, 2259, 609, 519, 1543, 1702, 543, 8810, 2853, 540, 18523, 2069, 563, 10376, 8400, 3217, 1747, 593, 13723, 6640, 689, 476, 280, 281, 1789, 1700, 1015, 281, 1789, 513, 6230, 269, 543, 2882, 513, 1543, 4274, 6881, 593, 513, 2824, 1888, 543, 513, 2243, 543, 2626, 8400, 609, 13325, 595, 643, 923, 19019, 531, 3213, 2851, 269, 30451, 666, 6443, 2661, 547, 2170, 609, 14747, 543, 2307, 2055, 610, 4585, 513, 10916, 540, 1142, 8400, 563, 10376, 1357, 14373, 568, 1863, 267, 543, 5171, 949, 1528, 547, 7118, 1079, 19113, 17099, 829, 1357, 14373, 585, 11264, 513, 2022, 268, 19986, 14373, 3498, 2534, 563, 2252, 596, 14406, 938, 4873, 1357, 21577, 593, 519, 4197, 519, 13325, 595, 643, 923, 13495, 919, 267, 7351, 543, 2552, 7337, 658, 17136, 9181, 687, 267, 3244, 2827, 540, 14891, 22948, 267, 610, 6796, 4804, 998, 769, 11526, 11059, 267, 3643, 938, 15099, 5071, 15484, 18145, 585, 513, 1357, 14373, 10916, 543, 2200, 1472, 1142, 1888, 563, 288, 6609, 585, 14232, 1357, 21577, 543, 1344, 547, 11578, 585, 519, 1863, 3318, 1646, 17099, 998, 519, 13660, 17273, 13636, 8433, 540, 4065, 568, 2139, 998, 519, 14261, 6402, 2630, 563, 290, 643, 923, 538, 519, 5664, 6732, 19113, 21480, 454, 1607, 19113, 4316, 568, 1500, 2009, 676, 519, 21464, 1489, 540, 519, 7917, 681, 269, 15966, 768, 1157, 7690, 22640, 5358, 563, 6124, 12754, 281, 1715, 12754, 281, 13325, 595, 643, 923, 15099, 5071, 15484, 18145, 454, 6701, 596, 3168, 585, 1007, 2200, 547, 3986, 707, 524, 643, 923, 4928, 286, 1684, 596, 991, 2326, 547, 2743, 519, 1007, 1647, 1153, 524, 643, 923, 23626, 286, 3776, 1007, 15099, 5071, 15484, 18145, 568, 513, 1390, 1747, 547, 1376, 269, 1284, 6394, 2200, 585, 18523, 1565, 4891, 689, 2066, 519, 4182, 547, 1921, 596, 609, 519, 1655, 1543, 543, 27380, 563, 763, 15099, 5071, 15484, 18145, 568, 6896, 267, 585, 8897, 540, 946, 267, 883, 519, 1739, 6810, 912, 268, 5623, 519, 21976, 540, 519, 595, 643, 923, 13495, 622, 454, 268, 18430, 513, 595, 15960, 10748, 527, 540, 2659, 15099, 454, 268, 8073, 513, 8693, 585, 595, 15960, 4804, 454, 268, 7351, 543, 2552, 7337, 658, 17136, 9181, 687, 454, 268, 3244, 2827, 540, 14891, 22948, 454, 268, 6796, 4804, 998, 769, 11526, 11059, 454, 268, 6034, 19019, 540, 14891, 30543, 454, 13425, 1394, 1419, 607, 2200, 616, 3773, 12353, 563, 10403, 19113, 19662, 689, 519, 13325, 14195, 7467, 543, 4065, 4741, 454, 763, 13325, 14195, 7467, 543, 4065, 4741, 568, 11836, 13325, 290, 643, 923, 3820, 547, 1683, 1079, 2228, 3318, 1646, 3255, 538, 5147, 547, 2743, 519, 1647, 1153, 524, 643, 923, 543, 11806, 266, 1686, 31433, 269, 3962, 6679, 568, 1863, 269, 1401, 14032, 4296, 786, 581, 1500, 547, 519, 13325, 4317, 3163, 11621, 267, 543, 519, 13325, 595, 643, 923, 31433, 4317, 16508, 4804, 14847, 4293, 543, 519, 12253, 5459, 17563, 585, 13229, 9752, 269, 19893, 949, 7118, 1614, 3318, 1646, 17099, 585, 11264, 513, 2022, 268, 19986, 14373, 3498, 2534, 269, 2290, 5491, 5662, 786, 581, 2016, 547, 5171, 945, 798, 711, 2347, 519, 29433, 2534, 563, 15288, 21815, 5058, 595, 4353, 12903, 8946, 4629, 308, 21203, 25886, 268, 700, 8577, 2177, 306, 20978, 5990, 670, 5357, 302, 7563, 19851, 454, 307, 11698, 267, 5147, 476, 1691, 267, 476, 1708, 271, 267, 476, 280, 281, 1789, 1700, 1556, 281, 876, 513, 6230, 1421, 24110, 476, 277, 268, 1321, 454, 763, 13325, 595, 643, 923, 13495, 622, 267, 9241, 9450, 547, 1331, 9344, 476, 277, 268, 279, 267, 2488, 15792, 3255, 547, 2721, 689, 519, 4245, 540, 1686, 547, 4001, 1053, 875, 547, 581, 5483, 267, 7722, 4961, 269, 769, 713, 13186, 267, 5171, 786, 2263, 519, 9836, 3646, 17298, 538, 13303, 5125, 547, 14816, 6014, 4961, 540, 741, 3540 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

[ 563, 257, 7021, 942, 267, 3141, 14315, 666, 1291, 547, 2960, 2860, 267, 865, 621, 779, 2731, 1271, 547, 2149, 6000, 543, 938, 2960, 689, 519, 3141, 676, 9849, 513, 1164, 3815, 9501, 293, 1032, 15778, 267, 855, 2523, 538, 519, 4832, 267, 547, 2149, 689, 519, 11158, 289, 12345, 602, 2014, 6633, 563, 257, 16100, 585, 513, 3376, 8552, 630, 18485, 11158, 288, 543, 11158, 289, 264, 1164, 3815, 3795, 267, 865, 9501, 293, 476, 1789, 610, 23679, 476, 2004, 267, 543, 31272, 569, 1169, 1079, 3108, 610, 811, 1419, 952, 596, 616, 10977, 563, 24679, 568, 1271, 547, 581, 3222, 602, 596, 1058, 1832, 1453, 896, 519, 2085, 540, 3670, 3275, 856, 540, 519, 3141, 4625, 543, 3382, 873, 538, 3141, 4027, 7802, 952, 693, 782, 2009, 4799, 9515, 3773, 281, 834, 26422, 14315, 568, 899, 1022, 824, 6633, 602, 596, 1995, 593, 519, 2960, 543, 594, 4076, 2938, 4049, 2665, 540, 3141, 14315, 538, 1250, 13382, 16758, 267, 1141, 649, 991, 547, 946, 28335, 543, 900, 3326, 1801, 547, 1521, 621, 269, 898, 779, 1271, 547, 581, 3141, 1606, 12522, 543, 917, 519, 2947, 590, 338, 540, 3141, 3106, 4799, 763, 2947, 590, 338, 616, 912, 20228, 760, 593, 513, 512, 6879, 7398, 454, 20228, 641, 593, 9501, 293, 5781, 454, 20228, 777, 593, 513, 3376, 1490, 574, 4364, 11058, 454, 20228, 728, 593, 23475, 28904, 454, 4537, 1228, 8164, 2009, 454, 5194, 3978, 1072, 9651, 593, 3905, 2395, 568, 3002, 560, 6593, 267, 799, 4523, 950, 707, 1560, 568, 8572, 547, 1852, 922, 2837, 269, 898, 666, 581, 1360, 3978, 543, 1291, 547, 1418, 3441, 563, 10454, 1292, 2589, 540, 3002, 560, 6593, 616, 513, 1164, 2837, 267, 865, 513, 2837, 540, 476, 2412, 290, 610, 811, 563, 257, 10144, 4043, 547, 1205, 513, 2370, 11821, 267, 610, 723, 606, 12012, 2790, 1533, 269, 1358, 1522, 849, 723, 2242, 538, 741, 24852, 267, 15353, 543, 13481, 568, 3833, 1455, 267, 543, 1166, 19813, 2960, 971, 607, 2699, 1750, 4060, 563, 24281, 811, 4049, 2665, 267, 789, 949, 723, 4028, 7244, 543, 513, 17040, 2295, 2557, 269, 898, 779, 2731, 1271, 547, 581, 3222, 540, 891, 952, 1004, 723, 11124, 689, 513, 3983, 3141, 14315, 538, 519, 4832, 3275, 4799, 2252, 596, 723, 4191, 610, 2589, 540, 3002, 560, 6593, 267, 596, 991, 547, 1294, 513, 4387, 607, 4166, 607, 2009, 269, 19402, 596, 666, 1294, 513, 4387, 267, 596, 1058, 3251, 538, 513, 26484, 1858, 267, 543, 1747, 4411, 6632, 12308, 338, 593, 707, 2960, 547, 3579, 621, 1524, 563, 9743, 8183, 7711, 20142, 7456, 19313, 743, 28649, 7711, 20142, 331, 879, 4048, 335, 454, 7476, 519, 5767, 19954, 29262, 24657, 2786, 547, 707, 28600, 585, 1863, 676, 19142, 909, 547, 938, 20394, 0, 307, 584, 4486, 781, 661, 6113, 25830, 281, 12356, 3893, 547, 3013, 1354, 19090, 17954, 1136, 5240, 454, 15912, 281, 11894, 267, 19090, 454, 307, 24642, 880, 5518, 25547, 335, 570, 599, 344, 760, 661, 6113, 25830, 568, 19101, 602, 7332, 25501, 6603, 519, 17113, 811, 982, 476, 4968, 1296, 1354, 24413, 18332, 19090, 563, 11854, 1136, 14349, 693, 513, 11018, 540, 7332, 3401, 689, 5824, 3013, 267, 661, 6113, 25830, 1767, 602, 3346, 1063, 5771, 543, 5824, 3013, 7389, 547, 519, 476, 1321, 628, 2540, 563, 24679, 568, 16957, 602, 519, 1977, 11782, 729, 4362, 676, 19090, 538, 476, 14983, 273, 2437, 661, 6113, 25830, 1767, 269, 834, 1103, 1249, 267, 7332, 25501, 6603, 519, 1977, 11782, 476, 27183, 1296, 1354, 19090, 267, 538, 476, 14056, 279, 4799, 1260, 906, 13324, 676, 2598, 638, 338, 454, 268, 11657, 776, 593, 519, 7831, 32013, 26676, 547, 27336, 633, 538, 519, 2136, 2276, 570, 1389, 593, 5999, 540, 17341, 1944, 13787, 626, 20222, 454, 268, 634, 26789, 8416, 540, 3687, 8651, 543, 681, 13741, 529, 589, 4575, 2806, 10407, 7457, 6969, 681, 4141, 454, 268, 2311, 922, 476, 2004, 628, 1234, 684, 542, 267, 5487, 681, 18054, 1133, 5866, 1306, 802, 1215, 547, 10426, 519, 8776, 577, 454, 268, 2475, 10598, 937, 540, 17896, 22656, 568, 538, 519, 5240, 267, 855, 519, 6301, 8466, 20556, 814, 1044, 18816, 454, 268, 4024, 590, 4596, 307, 4785, 4860, 529, 527, 519, 5822, 4147, 22893, 1222, 540, 1977, 6341, 334, 753, 888, 268, 5395, 613, 344, 7101, 7770, 14150, 593, 30922, 781, 22994, 16478, 16594, 454, 268, 589, 25227, 16024, 1014, 781, 2549, 4226, 1190, 681, 996, 9722, 540, 7111, 1977, 3778, 8571, 338, 16217, 1047, 543, 29576, 454, 268, 2817, 19964, 1401, 22128, 12694, 519, 8585, 527, 7095, 267, 14891, 3733, 2195, 540, 1977, 11846, 454, 268, 634, 4347, 324, 520, 540, 14740, 15348, 454, 268, 1215, 8211, 1108, 25609, 3013, 781, 7348, 593, 519, 2622, 0, 1103, 519, 26969, 676, 12025, 23519, 267, 3214, 786, 1451, 547, 2697, 543, 6474, 519, 3615, 2687, 547, 741, 2450, 269, 769, 713, 23519, 267, 3214, 786, 1451, 827, 519, 1523, 540, 1507, 267, 5420, 267, 543, 2462, 2450, 269, 901, 786, 948, 3214, 547, 2744, 3407, 1702, 543, 1628, 741, 3308, 7130, 1983, 563, 26368, 1635, 5565, 16544, 1948, 4905, 1107, 631, 10248, 4518, 1504, 454, 31374, 1635, 4147, 1948, 4905, 1107, 590, 15659, 4518, 1504, 454, 290, 22511, 634, 24436, 18786, 2060, 634, 9717, 22843, 454, 300, 2255, 634, 24436, 476, 273, 1107, 631, 10248, 4518, 1504, 454, 300, 2255, 5381, 24436, 476, 272, 1107, 631, 10248, 4518, 1504, 454, 290, 22511, 634, 23893, 24436, 476, 272, 1107, 631, 10248, 4518, 1504, 454, 21010, 519, 667, 1824, 454, 21010, 634, 667, 1824, 476, 272, 547, 476, 2004, 1107, 11314, 4518, 1504, 454, 300, 2255, 7822, 18963, 4518, 1504, 1948, 4905, 1107, 7822, 519, 25609, 454, 5825, 20713, 610, 4757, 2232, 27661, 299, 739, 707, 10957, 888, 10387, 841, 2232, 2608, 0, 2791, 666, 1451, 827, 707, 11937, 676, 13844, 634, 476, 1015, 628, 772, 2529, 269, 17227, 269, 634, 14829, 786, 2307, 596, 1896, 2055, 547, 1451, 811, 827, 707, 1920, 1686, 269, 1280, 1383, 267, 952, 596, 2461, 3168, 585, 513, 2594, 540, 606, 19366, 1920, 267, 596, 666, 1265, 856, 2436, 707, 22660, 729, 513, 2067, 1242, 772, 2529, 269, 12504, 610, 952, 789, 941, 4535, 13383, 269, 634, 476, 4489, 271, 14829, 786, 849, 1592, 741, 5198, 269, 1411, 666, 1265, 856, 2436, 789, 941, 4457, 267, 5545, 267, 4095, 267, 25109, 16201, 267, 1979, 24055, 3109, 543, 3043, 267, 610, 4033, 563, 763, 14829, 786, 849, 2995, 596, 2436, 707, 22660, 729, 513, 6406, 2782, 25982, 269, 769, 519, 14829, 267, 4914, 23899, 9038, 936, 476, 2004, 1296, 2025, 941, 4280, 952, 789, 6039, 269, 19452, 267, 585, 1346, 945, 6294, 3603, 547, 519, 2136, 2276, 1354, 476, 5908, 276, 267, 596, 666, 3605, 2436, 707, 22660, 729, 513, 26956, 540, 2112, 269, 634, 1344, 786, 849, 2995, 596, 2436, 707, 22660, 729, 9310, 267, 1185, 1453, 267, 610, 7283, 513, 30612, 563, 1103, 1840, 547, 4408, 543, 7389, 267, 519, 14829, 849, 12134, 2436, 707, 22660, 729, 9310, 269, 634, 2243, 540, 2436, 707, 22660, 729, 9310, 610, 11097, 15735, 568, 1271, 547, 596, 1317, 621, 786, 2995, 596, 875, 1082, 1453, 941, 4535, 543, 5030, 609, 602, 1268, 269, 1403, 596, 666, 1265, 891, 1453, 267, 596, 666, 946, 741, 4408, 547, 6445, 856, 707, 1920, 3529, 543, 1451, 811, 827, 707, 22660, 779, 1272, 563, 4407, 519, 476, 5002, 271, 14829, 1152, 4280, 827, 519, 1032, 540, 4332, 543, 3923, 267, 519, 476, 4489, 271, 17227, 6569, 713, 2243, 269, 898, 849, 4280, 2436, 513, 1268, 729, 18555, 8276, 1393, 610, 9420, 693, 519, 942, 540, 519, 14829, 269, 1411, 666, 3406, 585, 3877, 899, 891, 676, 1210, 3733, 15463, 5146, 779, 3406, 2599, 269, 1411, 666, 1256, 3406, 676, 12183, 12849, 610, 2012, 7648, 689, 824, 4654, 269, 1403, 596, 2461, 5461, 538, 707, 11937, 267, 596, 1058, 2119, 547, 3406, 519, 476, 4489, 271, 14829, 269 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

[ 519, 26083, 630, 7853, 264, 540, 707, 6928, 1210, 707, 2759, 8083, 543, 4946, 12927, 906, 609, 1402, 338, 1834, 16853, 610, 21491, 6506, 269, 14190, 942, 585, 519, 15441, 547, 3819, 4625, 1354, 3001, 593, 563, 275, 269, 8073, 519, 544, 6814, 676, 5969, 543, 5935, 811, 1402, 338, 1834, 16853, 610, 21491, 6506, 269, 5900, 778, 873, 18172, 547, 519, 16064, 630, 9008, 2627, 264, 540, 707, 6928, 563, 276, 269, 5071, 543, 8936, 519, 521, 5661, 1210, 6094, 5958, 267, 1957, 267, 610, 5068, 9212, 269, 1411, 949, 1616, 547, 1039, 12673, 610, 20612, 585, 6551, 3101, 630, 6050, 8220, 519, 544, 6814, 1916, 277, 269, 7053, 267, 1628, 707, 1019, 528, 4821, 6429, 256, 7994, 513, 4282, 543, 1039, 2609, 971, 607, 1216, 267, 2244, 267, 5656, 267, 610, 1256, 6263, 5515, 547, 2347, 707, 1650, 269, 2142, 3860, 2439, 23558, 256, 1411, 1631, 4865, 3407, 1983, 538, 6928, 9781, 543, 1019, 528, 4821, 5137, 269, 9523, 707, 960, 609, 2828, 543, 1920, 267, 543, 3136, 3695, 519, 4241, 1158, 540, 17535, 1686, 256, 0, 2080, 568, 606, 1349, 689, 513, 2546, 912, 10454, 3509, 631, 13952, 538, 6301, 345, 454, 1103, 519, 6264, 4336, 540, 1919, 267, 476, 273, 267, 1822, 1296, 568, 855, 513, 10286, 540, 5070, 269, 634, 1686, 540, 6301, 345, 543, 519, 3788, 540, 922, 1079, 27453, 616, 1134, 1673, 29545, 538, 811, 982, 513, 18797, 15882, 269, 20056, 1836, 1790, 10517, 1563, 15225, 267, 1134, 27787, 1489, 2326, 267, 3946, 727, 5931, 267, 8778, 338, 543, 2835, 543, 2413, 954, 268, 5562, 3937, 2417, 3986, 9754, 268, 4707, 538, 6301, 345, 269, 5221, 1454, 593, 4159, 729, 1336, 972, 267, 543, 607, 835, 666, 1869, 3643, 519, 4609, 543, 4749, 1294, 24790, 799, 15068, 267, 891, 15882, 616, 2027, 269, 901, 4059, 2329, 561, 1742, 606, 3606, 4110, 540, 4641, 547, 519, 1272, 543, 2053, 540, 6301, 345, 779, 2250, 269, 6250, 1746, 519, 4884, 779, 1082, 3078, 15882, 568, 899, 2921, 513, 3460, 998, 2686, 543, 2067, 1686, 563, 763, 8092, 525, 332, 5237, 1107, 835, 540, 519, 9510, 15882, 538, 5125, 454, 2005, 8075, 519, 1034, 1271, 1148, 4015, 540, 519, 28039, 514, 1633, 6022, 520, 3729, 267, 1851, 799, 616, 9058, 3688, 689, 4936, 6301, 345, 6580, 689, 519, 476, 272, 560, 547, 476, 275, 628, 11416, 269, 1879, 513, 9754, 10525, 29810, 15225, 6580, 689, 519, 12942, 3397, 3010, 2237, 606, 2502, 543, 3015, 1576, 1770, 538, 513, 1837, 585, 1647, 1153, 1053, 1644, 547, 519, 1349, 1657, 267, 2519, 593, 834, 306, 1222, 21290, 543, 667, 1640, 24252, 257, 607, 851, 540, 834, 15045, 3198, 9915, 18306, 9569, 1315, 590, 4721, 1299, 26676, 20761, 1315, 11625, 3645, 2668, 634, 1543, 1058, 581, 3358, 585, 1647, 1153, 1053, 1510, 1991, 1702, 540, 519, 1888, 780, 2521, 547, 1384, 268, 3629, 2143, 3137, 267, 2057, 2930, 3822, 267, 543, 1459, 519, 2093, 538, 513, 3551, 267, 2239, 3159, 563, 268, 3417, 1806, 547, 1118, 519, 1641, 3839, 543, 3078, 585, 1762, 1647, 1153, 1053, 563, 268, 3680, 4304, 519, 1357, 1349, 538, 519, 1837, 269, 1684, 711, 1331, 513, 2140, 610, 2606, 2453, 269, 3399, 1603, 519, 1543, 2047, 269, 0, 7170, 281, 4197, 4139, 24779, 538, 938, 4045, 539, 2622, 692, 7072, 912, 5331, 596, 1185, 2828, 782, 1472, 519, 1158, 910, 538, 14297, 4872, 899, 19519, 267, 18241, 10034, 538, 16848, 267, 18512, 14252, 538, 8478, 256, 1215, 3579, 1131, 621, 581, 547, 1451, 827, 741, 4529, 267, 5389, 267, 543, 2081, 540, 1272, 286, 3767, 4952, 952, 789, 1223, 2097, 3643, 707, 4884, 267, 2671, 741, 2833, 267, 543, 10802, 707, 2146, 269, 2334, 781, 1018, 3486, 9194, 5654, 899, 256, 898, 1797, 1004, 3001, 2066, 2477, 547, 1376, 513, 1007, 1272, 267, 543, 621, 4249, 513, 1713, 1909, 538, 5935, 938, 10562, 1158, 269, 4653, 267, 649, 786, 2263, 875, 2797, 2257, 2337, 721, 1174, 713, 4241, 7613, 1572, 3486, 9194, 780, 4089, 476, 272, 281, 1548, 568, 4139, 24779, 888, 300, 12568, 4016, 547, 519, 3350, 540, 1004, 689, 835, 1747, 547, 1776, 267, 2901, 1369, 513, 2197, 610, 2066, 10665, 269, 1879, 11570, 1847, 1063, 6082, 267, 621, 3587, 1412, 514, 1181, 1049, 9194, 9538, 4658, 949, 3442, 547, 22109, 1813, 547, 1585, 4128, 971, 607, 5275, 1732, 2816, 3255, 267, 22653, 1746, 609, 1920, 2818, 267, 29400, 4655, 267, 610, 7680, 1007, 9035, 256, 3807, 899, 950, 3885, 882, 11229, 547, 513, 1114, 2749, 610, 1533, 267, 891, 2043, 4734, 3297, 741, 5321, 547, 1628, 513, 1007, 1272, 11992, 780, 4089, 476, 273, 281, 15348, 1299, 17423, 10435, 454, 13356, 2888, 3823, 945, 666, 4283, 513, 2197, 267, 1946, 267, 543, 896, 1018, 2175, 4125, 1082, 2797, 2188, 269, 22749, 1711, 3652, 602, 3666, 2640, 899, 13781, 2208, 543, 2686, 4763, 1996, 1761, 2591, 899, 2799, 3747, 585, 2200, 543, 16369, 7965, 269, 1452, 3664, 1764, 1312, 519, 11082, 543, 519, 2950, 22205, 873, 267, 1818, 621, 1898, 585, 14519, 547, 10880, 513, 4023, 543, 1175, 3666, 780, 12244, 5384, 281, 5994, 1373, 513, 3609, 20536, 282, 1865, 1018, 4808, 596, 1131, 3715, 585, 11776, 538, 707, 3148, 543, 2015, 519, 2360, 593, 3025, 3238, 269, 9523, 707, 4555, 609, 15032, 2439, 4089, 476, 274, 281, 5295, 995, 24812, 1299, 12367, 454, 28770, 3101, 11615, 5001, 1522, 3310, 1141, 20404, 6430, 547, 7017, 1524, 269, 1280, 3236, 267, 811, 1004, 949, 1904, 547, 1847, 547, 4025, 899, 3624, 610, 3127, 585, 7694, 16548, 269, 6684, 267, 2919, 2477, 4482, 1346, 3168, 585, 1164, 4441, 540, 2713, 543, 1514, 3354, 1949, 269, 5015, 267, 1875, 3766, 21194, 3906, 849, 1404, 2629, 5107, 538, 21528, 20404, 1282, 19268, 25557, 676, 3246, 4105, 2533, 543, 14957, 585, 741, 2924, 780, 4089, 476, 275, 281, 28304, 31875, 454, 300, 580, 7992, 18368, 3884, 1405, 2141, 2653, 269, 2368, 6608, 20818, 9993, 1759, 593, 1896, 2188, 267, 1519, 1983, 267, 2069, 2157, 267, 610, 1256, 22874, 269, 3958, 267, 2916, 1689, 543, 7526, 666, 3196, 4955, 5928, 855, 4466, 2922, 688, 26223, 3788, 4101, 269, 1306, 3743, 4961, 267, 1620, 891, 10848, 6087, 721, 547, 26003, 1125, 609, 20404, 543, 12167, 585, 4507, 5009, 13784, 543, 3160, 4316, 780, 6962, 912, 18698, 3486, 9194, 814, 2016, 721, 4030, 883, 519, 6946, 4296, 1119, 532, 938, 3309, 2943, 3838, 1158, 1927, 269, 1635, 26762, 519, 6214, 3297, 9194, 3270, 543, 3466, 267, 649, 1831, 5483, 5171, 5827, 540, 5807, 2318, 5188, 543, 3435, 4478, 713, 2565, 3390, 269, 5457, 267, 1169, 1268, 11438, 2189, 2984, 543, 15421, 1107, 1577, 781, 8661, 938, 3604, 1247, 8508, 938, 1455, 8103, 269, 0, 2080, 568, 606, 1349, 689, 513, 2546, 912, 10454, 4139, 11572, 3163, 5948, 630, 296, 4916, 288, 1070, 609, 519, 1489, 540, 519, 6554, 540, 2372, 2946, 13069, 267, 538, 11450, 609, 19270, 867, 807, 2160, 543, 538, 5698, 609, 519, 23951, 2784, 1520, 523, 21516, 7690, 630, 298, 3008, 264, 543, 519, 20523, 5336, 2632, 9418, 543, 20563, 8371, 540, 519, 2136, 8315, 5948, 538, 4516, 267, 568, 8066, 513, 5691, 10554, 593, 519, 12694, 543, 18370, 11072, 585, 519, 8892, 540, 5564, 10561, 1143, 547, 8661, 519, 476, 4037, 628, 16683, 540, 519, 15713, 540, 519, 2136, 8315, 563, 763, 2680, 568, 2921, 1747, 476, 866, 268, 2641, 5239, 476, 1708, 271, 547, 14626, 728, 609, 519, 3923, 17489, 16873, 540, 6167, 4037, 267, 799, 568, 547, 19411, 622, 538, 1715, 3840, 593, 6167, 4139, 4303, 267, 476, 2190, 5239, 563, 763, 2136, 8315, 1062, 568, 6849, 1008, 23148, 543, 1219, 4800, 689, 930, 2276, 267, 543, 922, 8647, 3006, 630, 528, 1419, 264, 8761, 513, 3668, 540, 4398, 269, 24021, 7060, 616, 8375, 538, 1114, 4525, 540, 519, 1158, 267, 9583, 17935, 693, 4831, 4472, 3496, 519, 4540, 2518, 1931, 269, 5047, 267, 1007, 2152, 616, 5051, 11543, 3007, 538, 519, 1617, 10561, 1143, 1062, 267, 3010, 2237, 606, 2502, 543, 3015, 1576, 1770, 538, 513, 1837, 585, 1647, 1153, 1053, 1644, 547, 519, 1349, 1657, 267, 2519, 593, 834, 17220, 24779, 257, 607, 851, 540, 834, 303, 27773, 13316, 1315, 32501, 2668, 634, 1543, 1058, 581, 3358, 585, 1647, 1153, 1053, 1510, 1991, 1702, 540, 519, 1888, 780, 2521, 547, 1384, 268, 3629, 2143, 3137, 267, 2057, 2930, 3822, 267, 543, 1459, 519, 2093, 538, 513, 3551, 267, 2239, 3159, 563, 268, 3417, 1806, 547, 1118, 519, 1641, 3839, 543, 3078, 585, 1762, 1647, 1153, 1053, 563, 268, 3680, 4304, 519, 1357, 1349, 538, 519, 1837, 269, 1684, 711, 1331, 513, 2140, 610, 2606, 2453, 269, 3399, 1603, 519, 1543, 2047, 269 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

[ 514, 10458, 267, 808, 269, 630, 1708, 272, 1040, 14856, 4713, 1282, 519, 524, 10604, 268, 866, 6855, 269, 645, 332, 329, 269, 8222, 281, 1015, 269, 13647, 277, 11486, 332, 329, 8542, 9965, 278, 454, 303, 1046, 8657, 779, 2068, 630, 11520, 264, 568, 519, 2034, 1034, 1455, 31895, 17654, 2068, 267, 4867, 7133, 5176, 835, 2929, 2043, 2429, 519, 2136, 2276, 4805, 272, 269, 6736, 922, 829, 11663, 4369, 267, 1100, 5574, 4867, 2291, 547, 993, 601, 1640, 622, 519, 5817, 3157, 540, 31895, 523, 3130, 267, 609, 4540, 11257, 2519, 17033, 593, 10835, 2359, 273, 269, 634, 3483, 540, 713, 2689, 568, 547, 1683, 513, 31858, 25271, 4901, 540, 519, 6127, 8246, 676, 2185, 3119, 2126, 3681, 1107, 476, 272, 264, 14278, 8839, 267, 476, 273, 264, 5444, 3797, 267, 476, 274, 264, 2620, 2634, 14242, 267, 543, 476, 275, 264, 6565, 1591, 3797, 282, 547, 4983, 1382, 3823, 519, 3106, 543, 12117, 540, 1142, 282, 543, 547, 1305, 8521, 606, 2963, 2861, 16252, 585, 2104, 1382, 267, 5092, 267, 1646, 267, 543, 2126, 269, 2991, 17265, 1382, 3823, 519, 3106, 267, 12588, 267, 543, 2404, 8801, 2621, 585, 1142, 540, 519, 2185, 11257, 267, 594, 2303, 602, 513, 5916, 7245, 540, 519, 3075, 700, 1673, 30249, 609, 513, 17585, 320, 11546, 8364, 7901, 2643, 848, 28166, 543, 5444, 3797, 15225, 519, 6574, 1761, 585, 2104, 1646, 2016, 2164, 538, 1480, 4791, 8062, 543, 5266, 1970, 1981, 540, 8801, 2621, 563, 303, 1046, 8657, 779, 2068, 568, 513, 5312, 28115, 894, 14715, 4524, 609, 2038, 2589, 1519, 536, 2784, 344, 330, 1149, 807, 267, 12152, 528, 267, 543, 16171, 540, 32376, 274, 269, 13536, 5933, 540, 519, 2068, 8915, 538, 7928, 3968, 267, 19576, 779, 2068, 12110, 267, 543, 1256, 2669, 275, 269, 2755, 519, 3123, 540, 19113, 616, 7164, 267, 2101, 27690, 12508, 1331, 23979, 540, 4571, 28090, 17585, 3133, 21544, 11409, 538, 519, 6086, 807, 562, 580, 571, 543, 606, 11606, 540, 10197, 344, 4703, 538, 519, 6967, 6086, 807, 562, 580, 571, 22006, 11409, 276, 269, 19113, 568, 6353, 7361, 676, 22006, 10638, 538, 922, 3355, 5933, 267, 799, 27372, 547, 2014, 1312, 5179, 543, 1875, 332, 19318, 2589, 607, 519, 4524, 22264, 269, 19113, 14001, 2669, 540, 6086, 807, 562, 580, 571, 22006, 11409, 7988, 2958, 12885, 519, 3977, 540, 519, 3003, 21828, 14228, 20377, 5547, 267, 513, 2634, 3148, 1271, 585, 5179, 1852, 277, 269, 634, 5895, 639, 23080, 573, 639, 2028, 639, 630, 25897, 328, 264, 543, 6086, 807, 562, 580, 571, 16163, 1427, 10306, 1092, 630, 17928, 337, 264, 1831, 5409, 5562, 607, 513, 1267, 540, 21022, 4174, 7614, 22629, 269, 901, 568, 2417, 8476, 676, 15398, 2300, 527, 2218, 11378, 689, 519, 1016, 11209, 25271, 13540, 630, 4306, 301, 264, 602, 1267, 689, 8519, 7409, 7480, 1852, 689, 519, 5895, 639, 23080, 573, 639, 5007, 630, 294, 8248, 264, 278, 630, 8201, 476, 272, 321, 1040, 634, 7988, 28832, 540, 21828, 14228, 20377, 3977, 568, 2808, 547, 581, 519, 2101, 2014, 3297, 519, 3350, 4713, 2404, 609, 19113, 267, 543, 4061, 568, 519, 3135, 602, 1034, 19113, 5574, 616, 6098, 269, 769, 713, 2689, 267, 594, 1445, 593, 11257, 6322, 693, 8156, 519, 2360, 540, 5179, 21324, 267, 12077, 7988, 330, 1149, 807, 267, 1739, 519, 7771, 540, 562, 580, 15543, 686, 7614, 22006, 11409, 563, 7212, 1100, 2068, 21524, 4328, 2126, 585, 19113, 4867, 6818, 267, 31916, 11257, 971, 607, 14278, 8839, 543, 2620, 2634, 14242, 723, 1044, 6964, 547, 2087, 519, 2298, 540, 1272, 585, 8995, 2043, 273, 269, 634, 3075, 700, 1673, 30249, 267, 1419, 1071, 611, 3439, 1229, 609, 17585, 320, 11546, 8364, 7901, 2643, 848, 20127, 971, 607, 2961, 321, 573, 30249, 267, 1568, 676, 2810, 519, 21022, 22006, 3761, 547, 519, 4174, 23628, 630, 8201, 476, 272, 321, 267, 594, 1040, 898, 814, 1044, 3964, 607, 519, 4154, 3044, 540, 11257, 543, 568, 1631, 11311, 547, 5176, 1169, 19113, 3461, 2390, 5868, 279, 269, 6271, 811, 5063, 3964, 2126, 568, 2620, 2634, 14242, 630, 291, 7034, 1070, 799, 7740, 1472, 519, 15498, 566, 540, 22809, 2966, 547, 10038, 9402, 2534, 538, 519, 13382, 328, 543, 5254, 301, 3361, 676, 12150, 17585, 3133, 21544, 2157, 630, 8201, 476, 272, 321, 267, 4083, 1916, 4407, 1312, 540, 891, 5574, 2709, 9354, 1871, 267, 1142, 2097, 609, 741, 1378, 1305, 540, 8374, 269, 700, 1673, 30249, 19380, 519, 2702, 547, 16401, 19576, 1014, 5179, 2589, 14961, 2429, 519, 1554, 267, 799, 6038, 5012, 547, 7928, 15088, 538, 10835, 6881, 1634, 607, 593, 543, 1055, 2829, 280, 282, 17585, 320, 11546, 8364, 7901, 2643, 848, 20127, 630, 291, 17584, 16927, 264, 616, 1419, 13950, 609, 700, 5937, 30249, 547, 993, 601, 1640, 622, 1055, 15581, 2360, 1015, 269, 667, 7034, 849, 5526, 7620, 2500, 267, 855, 3340, 12362, 5778, 338, 29864, 609, 513, 1164, 1981, 540, 4049, 8801, 2621, 1556, 563, 11693, 519, 2152, 609, 12117, 543, 2427, 2360, 540, 14278, 6139, 1905, 625, 543, 667, 7034, 267, 972, 6818, 513, 3395, 3747, 585, 824, 2126, 3681, 269, 10765, 4030, 538, 2126, 4610, 971, 607, 5444, 3797, 543, 6565, 1591, 3797, 849, 2709, 17105, 4126, 585, 811, 2500, 9354, 4093, 269, 22319, 3797, 630, 8201, 476, 272, 321, 267, 8633, 264, 9072, 519, 4174, 23628, 538, 13922, 540, 7393, 519, 4082, 540, 1978, 6090, 602, 666, 909, 2958, 3634, 22006, 267, 4061, 19086, 2589, 3361, 676, 8519, 22006, 9830, 269, 25745, 1591, 3797, 630, 8201, 476, 272, 321, 267, 10001, 264, 6663, 547, 15498, 9862, 6565, 2281, 547, 5372, 8697, 17585, 3133, 21544, 11409, 267, 7551, 15558, 1154, 519, 2360, 540, 22006, 10638, 563, 1103, 713, 2689, 267, 4093, 616, 3067, 1881, 998, 8791, 8633, 540, 519, 1133, 1881, 19576, 779, 8376, 28951, 17361, 630, 16810, 11403, 306, 1070, 513, 12773, 1907, 1031, 538, 799, 2362, 8464, 5330, 547, 3152, 10335, 540, 5179, 2589, 538, 2068, 11144, 1321, 269, 9717, 741, 5266, 1164, 12117, 543, 1970, 12136, 540, 8801, 2621, 267, 594, 4363, 602, 513, 12242, 1935, 540, 5444, 3797, 609, 519, 5061, 700, 1673, 30249, 543, 2961, 321, 573, 30249, 581, 8246, 607, 513, 15977, 2619, 585, 2126, 543, 1382, 563, 8201, 476, 272, 281, 22217, 1881, 28176, 6516, 540, 21828, 14228, 20377, 5547, 787, 538, 3339, 630, 288, 264, 543, 6288, 8657, 1014, 630, 289, 264, 2829, 269, 3131, 12993, 546, 10449, 2099, 7409, 7480, 20327, 267, 1247, 21985, 2099, 2300, 527, 2218, 20327, 267, 609, 519, 3448, 11098, 540, 1142, 1899, 1373, 22566, 540, 519, 9588, 540, 1198, 269, 7108, 10580, 5815, 4525, 538, 799, 1142, 9757, 2126, 6411, 269, 634, 9000, 540, 22006, 11409, 2164, 538, 30759, 689, 519, 13382, 328, 543, 19301, 337, 2059, 609, 8519, 7409, 7480, 1852, 540, 519, 717, 8248, 563, 8170, 519, 1906, 4540, 5574, 540, 19113, 267, 14278, 8839, 568, 2808, 519, 3119, 3903, 267, 13950, 2901, 607, 513, 1796, 17038, 821, 2126, 610, 607, 513, 15977, 31458, 2390, 799, 3606, 11257, 616, 13950, 269, 634, 3804, 540, 1034, 19113, 14453, 5574, 568, 547, 25579, 880, 32033, 22006, 9830, 538, 519, 4174, 23628, 282, 2705, 267, 22006, 3294, 568, 513, 1216, 30320, 11140, 543, 4061, 24835, 762, 540, 11579, 7992, 519, 1973, 1532, 1778, 11064, 630, 17668, 289, 264, 952, 28041, 30375, 269, 700, 1673, 30249, 267, 513, 22006, 24888, 267, 568, 513, 4122, 11311, 3075, 602, 666, 1780, 998, 519, 645, 17668, 267, 3850, 585, 19718, 676, 2634, 17585, 3133, 21544, 11409, 543, 7503, 547, 22006, 1724, 269, 1677, 2417, 2333, 22006, 9830, 267, 17585, 320, 11546, 8364, 7901, 2643, 848, 20127, 630, 291, 17584, 16927, 264, 971, 607, 645, 27660, 1794, 728, 543, 2961, 321, 573, 30249, 616, 1419, 8195, 13950, 547, 6175, 519, 15672, 15059, 540, 700, 1673, 30249, 676, 1439, 18100, 17585, 320, 11546, 8364, 7901, 2643, 848, 1015, 563, 22873, 658, 7245, 540, 700, 1673, 30249, 543, 667, 17584, 268, 3674, 568, 4122, 6353, 676, 8101, 993, 601, 1640, 566, 540, 6288, 8657, 1014, 2589, 543, 1164, 7109, 1464, 269, 1306, 513, 11347, 1383, 267, 835, 19747, 267, 5595, 15918, 785, 5650, 6417, 1353, 1336, 602, 2550, 8391, 476, 7785, 8406, 540, 3232, 700, 1673, 30249, 543, 2961, 321, 573, 30249, 20639, 606, 3328, 540, 476, 280, 269, 273, 2798, 2539, 593, 519, 2698, 24505, 11403, 306, 476, 5655, 4374, 1310, 2126, 3323, 3379, 547, 741, 15977, 6060, 1354, 4358, 269, 4329, 267, 1776, 4693, 4974, 2360, 693, 476, 9083, 4374, 1336, 513, 1611, 3017, 540, 476, 280, 269, 279, 4559, 1691, 269, 11916, 1239, 689, 713, 543, 824, 2090, 275, 267, 1428, 267, 1626, 6920, 602, 700, 1673, 30249, 543, 667, 17584, 268, 3674, 1404, 513, 1713, 1909, 538, 4227, 19576, 779, 8376, 2589, 563, 4407, 5916, 7245, 540, 700, 1673, 30249, 543, 667, 17584, 268, 3674, 814, 513, 1279, 1686, 540, 3811, 946, 538, 8156, 19113, 267, 14278, 1670, 909, 28832, 540, 22006, 814, 922, 7182, 269, 9717, 519, 21800, 7245, 540, 513, 667, 17584, 16927, 267, 700, 1673, 30249, 814, 513, 3368, 3734, 540, 1152, 476, 272, 269, 276, 547, 476, 273, 3108, 269, 4935, 267, 519, 8653, 540, 2962, 6238, 693, 1472, 476, 273, 547, 476, 275, 3108, 1354, 13302, 1813, 547, 519, 21324, 540, 17585, 3133, 21544, 27090, 4859, 5759, 1704, 269, 901, 4028, 3032, 29440, 540, 22006, 5012, 547, 24421, 8684, 14242, 543, 22522, 6765, 547, 13364, 267, 799, 538, 2490, 2164, 538, 513, 2647, 2039, 540, 7988, 330, 1149, 5362, 543, 2799, 5179, 8374, 538, 519, 1055, 15581, 1240, 269, 769, 519, 27069, 4693, 267, 2663, 2164, 6542, 513, 476, 2412, 260, 4960, 540, 2799, 5179, 8374, 1310, 513, 1974, 540, 476, 275, 547, 476, 277, 1296, 1813, 538, 851, 547, 700, 1673, 30249, 779, 24421, 8684, 14242, 543, 849, 2949, 2068, 11144, 1015, 269, 11150, 585, 4227, 519, 1055, 1533, 543, 14178, 519, 2500, 3259, 540, 2126, 1331, 2810, 519, 18262, 540, 17585, 3133, 21544, 6646, 267, 4946, 1776, 17585, 3133, 21544, 6646, 267, 9570, 6824, 566, 267, 610, 4946, 524, 622, 3273, 14114, 2173, 14007, 10520, 2536, 848, 20127, 630, 26376, 30454, 264, 610, 1395, 334, 8533, 12444, 848, 1826, 645, 20127, 630, 7246, 15477, 3674, 264, 547, 21391, 519, 15059, 540, 700, 1673, 30249, 543, 22006, 543, 10804, 741, 2360, 866, 563, 1103, 2489, 267, 5444, 3797, 18271, 9354, 6090, 547, 1521, 4713, 676, 31925, 267, 13868, 267, 610, 3623, 9760, 26843, 6090, 736, 269, 769, 2474, 540, 519, 2126, 540, 3350, 4713, 899, 19576, 779, 267, 621, 3335, 3091, 16496, 11808, 540, 22006, 5834, 547, 519, 4174, 23628, 998, 519, 909, 28832, 540, 17585, 3133, 21544, 15202, 2641, 269, 2755, 972, 616, 2789, 2081, 547, 17982, 5444, 11257, 267, 1034, 1118, 946, 540, 1875, 3146, 2364, 908, 10194, 10321, 267, 971, 607, 513, 21921, 5364, 20722, 334, 23938, 3644, 630, 8150, 309, 264, 543, 21378, 643, 6400, 267, 547, 5838, 5574, 547, 6098, 2127, 2420, 563, 2467, 616, 1079, 5444, 11257, 4867, 538, 7156, 585, 519, 2126, 540, 19113, 2589, 267, 1312, 540, 799, 960, 547, 3077, 2147, 7636, 11444, 538, 519, 2634, 269, 634, 1101, 267, 589, 668, 1738, 700, 5025, 2381, 334, 18729, 5463, 541, 7901, 2643, 848, 630, 288, 4696, 290, 264, 5444, 3797, 267, 3322, 20133, 558, 1227, 17122, 9360, 540, 519, 589, 4696, 290, 11747, 602, 6087, 606, 2799, 2557, 540, 7503, 689, 700, 1673, 30249, 547, 22006, 538, 1098, 706, 1027, 2281, 2641, 269, 32192, 3077, 519, 2022, 268, 5570, 1170, 1116, 4174, 23628, 267, 519, 3077, 540, 519, 562, 580, 15543, 686, 7614, 22006, 11409, 602, 5884, 1055, 1282, 19113, 269, 634, 5420, 838, 4176, 11409, 540, 519, 2022, 268, 5570, 1170, 1116, 4174, 23628, 798, 711, 632, 2102, 4733, 1282, 19576, 779, 267, 543, 3105, 2090, 723, 30833, 519, 1761, 585, 891, 2281, 547, 2769, 1098, 2102, 525, 585, 6905, 5712, 540, 942, 2537, 563, 763, 2034, 3797, 18271, 513, 5916, 1935, 540, 589, 4696, 290, 609, 519, 6090, 1119, 4592, 710, 18038, 2643, 848, 630, 8025, 264, 543, 1368, 534, 27343, 2468, 874, 24043, 7814, 334, 5139, 1503, 848, 594, 630, 294, 6224, 272, 1040, 8946, 17838, 700, 268, 1399, 4592, 710, 547, 700, 1673, 30249, 267, 1247, 717, 6224, 272, 10776, 8240, 519, 10282, 540, 519, 1898, 1119, 4592, 710, 18038, 2643, 848, 1071, 26476, 267, 25543, 5139, 549, 6798, 16239, 514, 269, 9521, 519, 589, 4696, 290, 5444 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

[ 11522, 26251, 267, 596, 666, 2119, 936, 7308, 23716, 11522, 21360, 602, 3568, 11522, 16401, 1218, 610, 2503, 528, 1218, 269, 7427, 519, 18262, 5528, 5402, 543, 5077, 707, 4387, 952, 596, 723, 1022, 2564, 2175, 610, 1491, 1022, 6527, 563, 7804, 9722, 7899, 540, 12862, 899, 1216, 267, 7401, 267, 610, 17339, 666, 948, 1832, 707, 7929, 1062, 19872, 543, 2569, 23472, 269, 3680, 14933, 543, 4568, 267, 799, 666, 13204, 3433, 707, 1560, 563, 305, 20535, 543, 3478, 2614, 3207, 666, 948, 707, 1560, 4339, 5563, 543, 2569, 23472, 269, 3680, 588, 1066, 6681, 2238, 602, 666, 22009, 707, 11522, 563, 8794, 513, 18519, 8595, 610, 11517, 6500, 666, 948, 5848, 584, 1125, 707, 28296, 543, 2569, 23472, 269, 5269, 2386, 547, 2973, 707, 18519, 8595, 5781, 547, 2057, 9044, 610, 4551, 2208, 563, 1691, 269, 3680, 7054, 761, 1218, 454, 22879, 4598, 547, 8886, 1218, 899, 8673, 267, 7452, 267, 610, 14947, 602, 666, 22009, 707, 11522, 269, 23203, 513, 9633, 952, 596, 723, 547, 979, 3544, 538, 26130, 2127, 563, 1428, 269, 6481, 9615, 454, 2252, 707, 11522, 16569, 585, 811, 982, 1079, 4374, 610, 568, 10483, 676, 824, 2589, 899, 8611, 267, 9221, 1928, 267, 610, 7411, 7244, 267, 596, 1058, 3343, 2564, 2126, 269, 2659, 4387, 666, 13209, 519, 5817, 2014, 540, 707, 11522, 543, 21559, 11216, 610, 824, 6527, 952, 2556, 563, 6930, 503, 489, 32279, 18542, 5999, 630, 11902, 17988, 994, 272, 269, 2052, 23472, 581, 513, 1129, 540, 1945, 3978, 888, 8133, 267, 23472, 666, 581, 513, 10835, 540, 3978, 2175, 899, 16415, 267, 32583, 267, 610, 5761, 2860, 269, 1403, 707, 11522, 26251, 585, 811, 982, 1079, 4374, 610, 568, 10483, 676, 824, 2589, 899, 8611, 267, 9221, 1928, 267, 610, 7411, 7244, 267, 596, 1058, 3343, 2564, 2126, 563, 273, 269, 1215, 1279, 1058, 513, 11522, 2063, 888, 288, 11522, 666, 2063, 585, 513, 1906, 2395, 547, 513, 1906, 4374, 267, 4470, 593, 519, 5817, 2014, 269, 1403, 707, 11522, 16569, 585, 811, 982, 1079, 4374, 610, 568, 10483, 676, 824, 2589, 899, 8611, 267, 9221, 1928, 267, 610, 7411, 7244, 267, 596, 1058, 3343, 2564, 2126, 563, 274, 269, 2052, 594, 6952, 513, 11522, 689, 2576, 3116, 888, 8133, 267, 11522, 338, 666, 581, 21380, 267, 2523, 952, 789, 616, 3361, 676, 10194, 610, 9190, 5563, 269, 1411, 666, 2569, 707, 1981, 540, 20414, 513, 11522, 676, 11067, 707, 3946, 4749, 543, 9319, 2673, 3346, 609, 1004, 945, 616, 7210, 563, 275, 269, 1215, 666, 594, 2061, 513, 11522, 888, 2791, 666, 2569, 707, 1981, 540, 3478, 513, 11522, 676, 4509, 1434, 9882, 267, 9319, 4598, 547, 8886, 1218, 267, 3478, 18764, 1996, 2770, 543, 945, 14563, 11522, 267, 543, 14304, 707, 4761, 1062, 609, 513, 2635, 2732, 267, 3635, 267, 543, 3207, 563, 276, 269, 1772, 23472, 513, 10835, 540, 5046, 268, 866, 888, 8133, 267, 23472, 568, 835, 540, 519, 1034, 1455, 2589, 540, 5046, 268, 866, 267, 2059, 609, 8611, 267, 9854, 267, 543, 7411, 7244, 269, 1403, 596, 723, 2589, 540, 5046, 268, 866, 267, 596, 1058, 1582, 268, 18066, 622, 267, 1205, 7318, 267, 543, 1246, 519, 4808, 540, 707, 2199, 1072, 8128, 563, 277, 269, 2052, 594, 4235, 4568, 1247, 594, 723, 513, 11522, 888, 2005, 568, 1655, 547, 2057, 4568, 950, 596, 723, 513, 11522, 1317, 621, 666, 13204, 3433, 707, 1560, 543, 22009, 707, 2589, 563, 278, 269, 2052, 594, 3635, 950, 594, 723, 513, 11522, 888, 2005, 568, 1655, 547, 2057, 588, 1066, 6681, 2238, 950, 596, 723, 513, 11522, 1317, 621, 666, 22009, 707, 2589, 543, 1118, 596, 1745, 13110, 269, 22918, 548, 2238, 899, 10649, 610, 6972, 666, 948, 596, 3251, 3742, 1510, 8380, 1932, 1454, 8833, 593, 707, 1560, 563, 6930, 495, 491, 10390, 281, 6875, 11059, 3767, 2336, 3086, 602, 596, 723, 4121, 827, 519, 3123, 267, 2010, 267, 543, 14319, 585, 513, 11522, 267, 621, 779, 942, 547, 1491, 2962, 543, 2161, 1434, 25742, 547, 707, 11522, 585, 1434, 256, 5457, 547, 2697, 519, 1826, 540, 11522, 596, 723, 267, 2119, 519, 1753, 14319, 267, 4235, 7899, 540, 12862, 267, 1964, 267, 543, 3343, 2564, 2126, 952, 2556, 269, 5213, 1406, 1577, 513, 11522, 7519, 707, 3232, 1272, 543, 17225, 707, 7607, 269, 7427, 891, 4388, 543, 1491, 1416, 540, 707, 7929, 1072, 563, 6930, 497, 507, 1849, 3151, 543, 2598, 25068, 454, 14188, 596, 585, 2542, 938, 2376, 593, 875, 547, 1205, 7759, 540, 513, 11522, 269, 1284, 4126, 602, 596, 723, 1336, 621, 13181, 543, 5363, 269, 7490, 4063, 602, 519, 1344, 538, 713, 2376, 568, 585, 3872, 5301, 1152, 543, 1058, 711, 581, 1031, 607, 513, 12990, 585, 2564, 5796, 267, 5868, 267, 610, 2126, 269, 11408, 5077, 707, 4387, 610, 3782, 8502, 1354, 3843, 1022, 1753, 14319, 610, 6527, 269, 1284, 616, 711, 3743, 585, 1022, 14796, 610, 4539, 602, 949, 8451, 689, 1739, 519, 5796, 538, 713, 2376, 269, 0, 2252, 596, 2461, 899, 1034, 1004, 267, 596, 4440, 917, 875, 547, 1689, 24039, 538, 513, 3044, 1286, 267, 855, 1018, 827, 952, 596, 723, 513, 8261, 6771, 286, 769, 713, 2376, 267, 649, 3580, 1397, 596, 875, 547, 1689, 24039, 538, 513, 8261, 1286, 1107, 1256, 952, 596, 2461, 711, 1360, 1434, 693, 621, 2336, 294, 792, 1744, 14823, 17943, 454, 2252, 596, 2461, 899, 1034, 1004, 267, 707, 1101, 1995, 609, 10591, 13346, 729, 2693, 538, 513, 1286, 609, 606, 13128, 6771, 269, 769, 513, 8261, 1286, 267, 24039, 616, 4957, 676, 15914, 519, 6771, 11573, 6023, 630, 528, 533, 5417, 956, 264, 547, 1689, 519, 10591, 269, 901, 2376, 786, 948, 596, 1205, 909, 547, 3432, 593, 875, 10591, 13346, 1568, 538, 513, 8261, 1286, 267, 543, 875, 547, 798, 621, 9108, 543, 7561, 563, 2691, 596, 1376, 707, 2599, 538, 513, 8261, 1286, 267, 519, 6771, 786, 2356, 581, 538, 968, 335, 1046, 892, 630, 514, 9243, 1040, 1677, 979, 883, 1101, 10591, 267, 596, 1131, 17967, 519, 6771, 11573, 6023, 630, 528, 533, 5417, 956, 264, 547, 519, 2451, 267, 2509, 968, 272, 1848, 1677, 979, 883, 2034, 10591, 267, 596, 1131, 17967, 621, 547, 519, 1318, 267, 2509, 968, 273, 1848, 634, 1482, 4422, 585, 3791, 998, 11359, 24039, 269, 1411, 666, 849, 27464, 609, 519, 8868, 1247, 538, 891, 24039, 676, 7432, 621, 538, 513, 1880, 4287, 563, 2252, 596, 2479, 1205, 12758, 538, 835, 540, 891, 24039, 267, 1810, 1406, 11784, 256, 1703, 616, 1896, 1919, 596, 666, 798, 547, 1205, 856, 540, 8373, 912, 272, 264, 8347, 2847, 1324, 707, 2599, 269, 901, 786, 3006, 6521, 24039, 593, 922, 1378, 952, 707, 1286, 568, 538, 1434, 2783, 543, 519, 804, 8553, 568, 2324, 5265, 563, 273, 264, 1403, 602, 3085, 1406, 960, 267, 2119, 8380, 707, 1286, 883, 9243, 454, 1692, 547, 7827, 717, 8986, 538, 513, 15015, 2961, 454, 2419, 4474, 24039, 538, 513, 8261, 1286, 666, 581, 16602, 267, 855, 609, 513, 2370, 2259, 621, 3587, 2653, 269, 3371, 616, 2185, 4388, 547, 948, 596, 1205, 3323, 912, 272, 269, 5192, 538, 519, 2953, 1286, 2990, 269, 769, 513, 8261, 1286, 267, 519, 10591, 7901, 568, 4092, 693, 519, 4395, 540, 519, 1286, 269, 1677, 1689, 24039, 267, 596, 1101, 991, 547, 1205, 883, 519, 2953, 6117, 2990, 269, 901, 1797, 602, 707, 10160, 1058, 581, 14661, 865, 602, 707, 3952, 616, 6366, 593, 519, 2666, 543, 707, 25637, 616, 1377, 609, 519, 8868, 563, 273, 269, 9255, 707, 1688, 593, 519, 20347, 29465, 269, 4495, 596, 2461, 538, 519, 2953, 6117, 2990, 267, 1747, 707, 824, 1688, 593, 519, 20347, 29465, 547, 3247, 519, 1286, 269, 901, 786, 2327, 602, 596, 4465, 1406, 18417, 5734, 519, 5787, 1807, 950, 3843, 547, 1689, 24039, 563, 274, 269, 700, 11229, 519, 10591, 11573, 269, 2201, 930, 6517, 267, 519, 10591, 11573, 568, 4092, 1985, 547, 610, 3297, 519, 23376, 8868, 269, 4855, 713, 11573, 543, 7485, 621, 2786, 909, 630, 528, 1524, 952, 596, 2461, 538, 1101, 10591, 1040, 2142, 2386, 547, 3180, 5196, 621, 1247, 596, 1689, 24039, 2336, 275, 269, 7827, 24039, 676, 13346, 707, 3723, 883, 1747, 2630, 519, 10591, 11573, 269, 1879, 596, 1294, 968, 272, 892, 610, 968, 273, 892, 2408, 1985, 547, 519, 10591, 1297, 593, 519, 3866, 267, 6521, 707, 3723, 883, 1747, 543, 5305, 454, 294, 792, 1744, 14823, 9669, 585, 15015, 28298, 23663, 454, 2419, 4474, 24039, 538, 513, 8261, 1286, 666, 581, 513, 3787, 540, 513, 4161, 267, 855, 609, 930, 2259, 596, 666, 1205, 519, 13793, 540, 621, 269, 3371, 616, 930, 4388, 547, 948, 596, 6521, 10591, 12347, 543, 7561, 912, 272, 269, 5192, 1031, 547, 519, 1745, 540, 519, 10591, 6442, 614, 269, 1411, 3580, 991, 547, 946, 707, 3946, 543, 11263, 547, 1852, 519, 10591, 6442, 614, 267, 865, 621, 779, 1271, 547, 1205, 1031, 547, 519, 1259, 621, 7959, 543, 13333, 563, 273, 269, 5213, 1406, 19060, 950, 4657, 24039, 269, 6875, 707, 942, 543, 979, 998, 1142, 10591, 5402, 267, 1818, 2386, 596, 2461, 538, 519, 1318, 835, 1354, 3001, 593, 547, 519, 1985, 563, 274, 269, 6657, 13346, 1247, 18736, 610, 538, 3500, 2173, 8221, 6808, 269, 901, 786, 948, 596, 1205, 6899, 609, 875, 519, 10591, 6442, 614, 1568, 543, 1118, 13346, 593, 519, 4155, 23704, 543, 1447, 3454, 532, 563, 275, 269, 5901, 707, 3946, 2973, 543, 1863, 689, 11041, 543, 31294, 269, 901, 786, 948, 2087, 707, 17945, 593, 519, 6442, 614, 267, 3246, 1732, 1852, 950, 13346, 24039, 563, 294, 792, 1744, 14823, 9669, 585, 4201, 11703, 28298, 23663, 454, 2252, 596, 2461, 6117, 513, 8261, 1286, 267, 972, 616, 930, 2596, 4388, 602, 786, 948, 596, 1689, 24039, 12347, 543, 3362, 563, 5575, 267, 1118, 2386, 707, 1688, 568, 2786, 950, 596, 6521, 519, 24039, 269, 5213, 1406, 13029, 909, 707, 1688, 610, 6186, 1765, 3286, 1577, 621, 1847, 6923, 563, 13553, 267, 3314, 547, 946, 707, 14853, 547, 6521, 519, 10591, 3333, 3424, 883, 519, 5551, 2990, 269, 1411, 1810, 1406, 991, 547, 946, 707, 11263, 563, 4517, 6368, 267, 581, 3461, 269, 898, 949, 1491, 513, 1906, 13290, 547, 1205, 1031, 547, 519, 1184, 267, 855, 5555, 596, 3580, 581, 13346, 24039, 899, 513, 605, 2336, 294, 792, 1744, 14823, 9669, 585, 7756, 32010, 17148, 454, 2467, 616, 513, 1906, 1114, 2081, 547, 1689, 24039, 538, 513, 8261, 1286, 267, 4470, 593, 707, 6117, 2175, 269, 3371, 616, 930, 4388, 547, 948, 596, 10591, 909, 585, 1022, 5397, 912, 2691, 32010, 593, 519, 23681, 454, 2691, 6117, 593, 519, 19814, 267, 621, 779, 3622, 4443, 547, 1689, 24039, 1210, 707, 3946, 269, 15439, 6521, 707, 1318, 1688, 547, 519, 10591, 11573, 543, 6521, 519, 8868, 547, 519, 5551, 10591, 609, 707, 2451, 1688, 563, 2691, 32010, 538, 2749, 6808, 454, 2691, 6117, 538, 2749, 6808, 267, 621, 666, 581, 811, 2352, 547, 1689, 24039, 1210, 1175, 707, 3946, 269, 769, 713, 3510, 267, 621, 779, 5363, 547, 946, 835, 540, 1079, 10591, 6442, 1562, 15841, 593, 519, 23376, 8868, 269, 634, 1101, 6442, 614, 568, 3335, 1031, 585, 2267, 2358, 538, 9243, 267, 1247, 519, 2034, 6442, 614, 13071, 596, 1689, 24039, 1247, 6117, 269, 0, 19604, 1145, 532, 519, 1379, 540, 23654, 4317, 26930, 585, 15474, 8177, 543, 2657, 454, 2005, 779, 4742, 811, 543, 811, 7805, 602, 4213, 666, 1100, 3476, 581, 3811, 1510, 2921, 883, 7156, 875, 741, 2472, 543, 2533, 1764, 2486, 543, 513, 2754, 779, 2949, 1072, 269, 23654, 4317, 26930, 630, 5425, 305, 264, 568, 513, 2165, 1031, 547, 5581, 3549, 543, 3157, 602, 2832, 547, 2087, 519, 2729, 540, 1004, 267, 2149, 519, 1604, 267, 543, 1711, 513, 811, 4264, 2486, 269, 4498, 1145, 532, 519, 1379, 540, 23654, 4317, 26930, 585, 2318, 1764, 543, 1072, 568, 1898, 585, 519, 3549, 540, 2221, 547, 581, 3811, 543, 5683, 563, 1432, 568, 23654, 4317, 26930, 888, 4263, 922, 4295, 267, 23654, 4317, 26930, 568, 782, 827, 4213, 1818, 3664, 602, 616, 1434, 585, 741, 5520, 267, 5561, 267, 543, 519, 1604, 269, 898, 779, 711, 1152, 827, 9319, 2942, 3527, 267, 855, 849, 13197, 2318, 3527, 602, 786, 2087, 519, 1158, 649, 782, 2661, 538, 269, 2368, 19647, 513, 2754, 1522, 1118, 547, 23654, 4317, 26930, 1131, 581, 547, 1902, 538, 7791, 1648, 267, 2569, 3327, 5434 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

[ 795, 3436, 910, 272, 543, 1775, 2999, 795, 10778, 1038, 4990, 8217, 6910, 16325, 8266, 5157, 7481, 1038, 4990, 8217, 6910, 16325, 8266, 14728, 7481, 1038, 1775, 284, 328, 266, 272, 454, 1038, 795, 284, 329, 268, 272, 454, 825, 952, 7003, 16325, 8266, 264, 4939, 476, 273, 11203, 476, 271, 10778, 1038, 4990, 8217, 6910, 16325, 8266, 5157, 7481, 825, 2132, 4990, 8217, 692, 6358, 8217, 17342, 280, 267, 274, 267, 273, 267, 277, 267, 276, 267, 278, 267, 272, 267, 275, 267, 279, 2639, 2745, 2891, 763, 3312, 1592, 568, 2433, 2580, 3403, 8217, 994, 2745, 2891, 763, 15044, 1592, 568, 14307, 4990, 8266, 9272, 8217, 11723, 0, 3240, 23952, 815, 1193, 9272, 2891, 11767, 519, 5569, 281, 27328, 3240, 8217, 815, 1250, 23952, 21858, 2891, 2437, 994, 8999, 318, 3240, 8217, 815, 476, 271, 3248, 1721, 1775, 538, 1250, 8217, 10778, 825, 2040, 318, 3240, 8217, 6834, 10581, 9217, 994, 2745, 4433, 636, 318, 3240, 8217, 994, 0, 5814, 4351, 692, 3698, 1292, 14682, 600, 1076, 10031, 825, 1267, 815, 4351, 27110, 263, 271, 267, 3607, 994, 825, 2132, 1267, 692, 3698, 13193, 30592, 22674, 712, 28840, 2187, 825, 2699, 815, 1496, 272, 267, 274, 267, 276, 267, 278, 267, 280, 267, 1321, 267, 1691, 267, 1626, 267, 1240, 267, 866, 267, 2641, 267, 2537, 267, 1839, 267, 2767, 267, 1789, 267, 3953, 267, 4097, 267, 3607, 2639, 825, 1025, 330, 815, 1496, 273, 267, 275, 267, 277, 267, 279, 267, 1015, 267, 1556, 267, 1724, 267, 1428, 267, 1704, 267, 736, 267, 2420, 267, 2190, 267, 2918, 267, 2764, 267, 3066, 267, 4029, 267, 3451, 267, 3374, 2639, 825, 952, 1297, 2652, 476, 271, 912, 1038, 2132, 834, 13582, 4840, 825, 8640, 1297, 538, 2699, 912, 1038, 2132, 834, 1042, 4840, 825, 8640, 1297, 538, 1025, 330, 912, 1038, 2132, 834, 18872, 4840, 825, 3116, 912, 1038, 1820, 9497, 527, 13264, 5602, 1038, 2132, 476, 271, 692, 258, 1219, 6742, 9638, 553, 836, 267, 10233, 267, 3077, 267, 7482, 2187, 258, 672, 14404, 326, 815, 834, 24938, 532, 1446, 4840, 258, 672, 1376, 815, 7482, 454, 258, 672, 3094, 815, 476, 271, 454, 258, 672, 2530, 815, 476, 271, 454, 258, 672, 21448, 815, 476, 271, 454, 258, 672, 914, 815, 32488, 836, 454, 258, 672, 1247, 16733, 325, 1495, 338, 2999, 3077, 264, 543, 630, 325, 1495, 338, 3436, 476, 271, 15892, 258, 1363, 952, 2681, 11203, 31133, 1076, 10031, 258, 17264, 1820, 6600, 1495, 338, 994, 258, 17264, 1820, 6357, 564, 994, 258, 17264, 7482, 20699, 914, 454, 258, 17264, 914, 2608, 284, 476, 273, 454, 258, 17264, 2530, 6834, 476, 272, 454, 258, 17264, 21448, 6834, 476, 272, 454, 258, 17264, 1820, 9497, 32039, 1695, 2073, 14255, 1731, 514, 32488, 22462, 18121, 257, 1341, 1193, 6357, 564, 264, 1341, 834, 264, 5602, 258, 1363, 3116, 912, 258, 17264, 1820, 6600, 1495, 338, 994, 258, 17264, 1820, 6357, 564, 994, 258, 17264, 7482, 6834, 914, 454, 258, 17264, 3094, 6834, 476, 272, 454, 258, 17264, 21448, 6834, 476, 272, 454, 258, 17264, 914, 284, 335, 553, 836, 454, 258, 17264, 1820, 9497, 5443, 836, 2073, 2881, 684, 514, 32488, 22462, 18121, 257, 1341, 1193, 6357, 564, 264, 1341, 834, 264, 5602, 258, 672, 952, 7482, 13843, 3077, 912, 258, 1363, 1820, 9497, 5443, 836, 2073, 2698, 546, 3726, 815, 834, 1341, 1193, 6600, 1495, 338, 4917, 258, 1363, 1820, 9497, 20135, 678, 27475, 815, 476, 834, 1341, 1193, 263, 1037, 338, 4917, 258, 1363, 1948, 546, 22182, 19304, 520, 326, 1341, 834, 2437, 1341, 1193, 263, 11034, 264, 1341, 834, 2437, 1341, 1193, 6025, 13759, 264, 1341, 834, 2437, 1341, 1193, 263, 10233, 264, 1341, 834, 2437, 1341, 1193, 263, 7773, 264, 1341, 834, 2437, 1341, 1193, 10857, 1601, 264, 1341, 834, 2437, 1341, 1193, 263, 1037, 338, 264, 1341, 834, 2437, 1341, 1193, 6600, 1495, 338, 264, 1341, 27719, 333, 5602, 258, 672, 3116, 912, 258, 1363, 1820, 9497, 321, 836, 337, 583, 256, 579, 836, 694, 22894, 836, 815, 834, 1341, 1193, 6600, 1495, 338, 4917, 258, 1363, 1948, 546, 22182, 19304, 520, 326, 1341, 834, 2437, 1341, 1193, 263, 11034, 264, 1341, 834, 2437, 1341, 1193, 6025, 13759, 264, 1341, 834, 2437, 1341, 1193, 263, 10233, 264, 1341, 834, 2437, 1341, 1193, 263, 7773, 264, 1341, 834, 2437, 1341, 1193, 10857, 1601, 264, 1341, 834, 2437, 1341, 1193, 263, 1037, 338, 264, 1341, 834, 2437, 1341, 1193, 6600, 1495, 338, 264, 1341, 27719, 333, 5602, 8931, 258, 1219, 3339, 10734, 564, 10031, 672, 692, 8181, 6958, 1495, 815, 476, 1911, 454, 321, 564, 815, 834, 1042, 5016, 321, 23293, 8548, 2292, 815, 476, 272, 454, 15893, 24512, 815, 11713, 1721, 1775, 538, 2039, 263, 271, 267, 276, 2187, 825, 1297, 24512, 6910, 9852, 664, 14682, 600, 1076, 3890, 9239, 3698, 3339, 10734, 564, 28840, 24512, 2073, 2332, 6958, 1495, 2073, 25919, 8548, 2292, 2187, 825, 585, 1297, 538, 1297, 24512, 912, 1038, 25919, 318, 2897, 815, 13193, 30592, 22674, 712, 28840, 994, 1038, 1820, 6357, 23293, 318, 2897, 994, 1038, 952, 25919, 318, 2897, 2652, 914, 912, 2018, 1820, 2891, 7773, 5602, 2018, 2332, 6958, 1495, 815, 2332, 6958, 1495, 1341, 25919, 8548, 2292, 454, 1038, 3116, 912, 2018, 2332, 6958, 1495, 815, 2332, 6958, 1495, 910, 25919, 8548, 2292, 454, 2018, 1820, 2891, 331, 846, 5602, 672, 692, 2745, 263, 8181, 6958, 1495, 2020, 0, 5814, 2979, 454, 5814, 1770, 11687, 692, 3698, 32065, 310, 5416, 14720, 2187, 1038, 2132, 703, 263, 11274, 5416, 265, 321, 1315, 2979, 3052, 7251, 5416, 14720, 4297, 2020, 5035, 674, 2350, 912, 825, 5727, 298, 331, 14505, 1065, 30959, 550, 340, 329, 384, 483, 8619, 579, 22119, 600, 7288, 27969, 692, 825, 1219, 6449, 8181, 9191, 1345, 267, 1535, 284, 271, 267, 586, 284, 272, 2187, 1038, 1948, 1975, 3863, 323, 345, 18081, 267, 524, 5414, 586, 284, 271, 563, 1038, 1582, 11859, 815, 1535, 454, 1038, 1582, 13885, 815, 586, 454, 1038, 952, 12169, 2652, 476, 271, 2187, 2018, 6318, 28759, 3488, 300, 1014, 1144, 1731, 562, 773, 4779, 2763, 676, 322, 887, 1233, 344, 476, 271, 17210, 825, 1219, 14458, 4311, 2187, 1038, 952, 263, 529, 27349, 4311, 267, 842, 15892, 19930, 2132, 1582, 454, 1038, 546, 345, 1408, 815, 2979, 3052, 7251, 4311, 11859, 267, 1345, 13885, 994, 1038, 1535, 815, 703, 4311, 11859, 7933, 345, 1408, 994, 1038, 586, 815, 703, 4311, 13885, 7933, 345, 1408, 994, 1038, 674, 343, 284, 293, 2350, 3287, 11971, 994, 1038, 2132, 674, 343, 11434, 692, 825, 1219, 6449, 1598, 9191, 1345, 2567, 1038, 1948, 1990, 342, 2350, 320, 834, 343, 30819, 257, 561, 889, 834, 343, 257, 546, 5055, 586, 284, 272, 454, 1038, 952, 4311, 13885, 2652, 476, 272, 2187, 2018, 2132, 834, 346, 271, 348, 2668, 8971, 4311, 11859, 994, 1038, 3116, 912, 2018, 2132, 834, 346, 271, 348, 270, 346, 272, 348, 2668, 8971, 4311, 11859, 267, 1345, 13885, 994, 13872, 825, 1219, 6449, 516, 1440, 9191, 1345, 2567, 1363, 1948, 1990, 342, 2350, 320, 834, 293, 2350, 3287, 267, 586, 264, 4840, 1038, 2132, 834, 293, 2350, 20719, 271, 9574, 346, 272, 16585, 2668, 8971, 4311, 11859, 267, 1345, 13885, 994, 825, 1948, 5124, 476, 273, 454, 825, 1948, 3698, 6449, 322, 5404, 9191, 1345, 267, 824, 2567, 1780, 476, 1948, 4699, 335, 263, 2765, 272, 267, 535, 2350, 273, 2020, 825, 1948, 5124, 476, 273, 269, 278, 1775, 5124, 476, 274, 454, 825, 1219, 6449, 18091, 9191, 1345, 267, 824, 2187, 1038, 952, 263, 529, 27349, 263, 1278, 267, 842, 15892, 2018, 2132, 476, 271, 454, 1038, 3116, 912, 2018, 535, 272, 815, 1582, 4732, 574, 680, 1518, 4590, 2018, 535, 273, 815, 824, 4732, 574, 680, 1518, 4590, 2018, 2132, 535, 272, 11859, 2652, 535, 273, 11859, 543, 535, 272, 13885, 2652, 535, 273, 13885, 692, 825, 1219, 6449, 928, 9191, 1345, 267, 824, 2187, 1038, 2132, 711, 1582, 2652, 824, 692, 825, 1219, 6449, 2741, 9191, 1345, 267, 824, 2187, 1038, 530, 1408, 815, 32065, 310, 4311, 13885, 267, 1278, 13885, 994, 1038, 1535, 272, 815, 1582, 11859, 2608, 630, 342, 1408, 270, 1345, 13885, 994, 1038, 1535, 273, 815, 824, 11859, 2608, 630, 342, 1408, 270, 1278, 13885, 994, 1038, 2132, 630, 343, 272, 2999, 1535, 273, 2020, 825, 1219, 6449, 548, 9191, 1345, 267, 824, 2187, 1038, 530, 1408, 815, 32065, 310, 4311, 13885, 267, 1278, 13885, 994, 1038, 1535, 272, 815, 1582, 11859, 2608, 630, 342, 1408, 270, 1345, 13885, 994, 1038, 1535, 273, 815, 824, 11859, 2608, 630, 342, 1408, 270, 1278, 13885, 994, 1038, 2132, 630, 343, 272, 10922, 1535, 273, 2020, 825, 1948, 3698, 6449, 25885, 9191, 1345, 267, 824, 2567, 1780, 692, 825, 1948, 3698, 6449, 613, 9191, 1345, 267, 824, 2567, 1780, 692, 825, 1219, 6449, 5417, 9191, 1345, 267, 824, 2567, 476, 1948, 535, 2350, 272, 266, 2765, 273, 267, 535, 2350, 266, 842, 454, 1038, 952, 263, 529, 27349, 263, 1278, 267, 842, 15892, 2018, 674, 344, 815, 674, 2350, 4311, 13885, 2608, 824, 1341, 1582, 11859, 267, 1345, 13885, 994, 2018, 674, 344, 815, 674, 344, 4732, 574, 680, 1518, 4590, 2018, 2132, 674, 344, 454, 1038, 3116, 912, 2018, 530, 1408, 815, 32065, 310, 4311, 13885, 267, 1278, 13885, 994, 2018, 1535, 272, 815, 1582, 11859, 2608, 630, 342, 1408, 270, 1345, 13885, 994, 2018, 1535, 273, 815, 824, 11859, 2608, 630, 342, 1408, 270, 1278, 13885, 994, 2018, 586, 272, 815, 530, 1408, 454, 2018, 674, 343, 815, 674, 2350, 17301, 3287, 272, 21147, 273, 1070, 703, 12169, 272, 4917, 2018, 674, 343, 815, 674, 343, 4732, 574, 680, 1518, 4590, 2018, 2132, 674, 343, 28329, 825, 6449, 2784, 323, 1029, 815, 6449, 5417, 1029, 23526, 1948, 703, 266, 2765, 692, 825, 1219, 6449, 11357, 9191, 1345, 267, 824, 2567, 567, 1948, 535, 2350, 272, 1922, 2350, 273, 267, 535, 2350, 10784, 454, 1038, 952, 263, 529, 27349, 263, 1278, 267, 842, 15892, 2018, 674, 344, 815, 674, 2350, 4311, 11859, 910, 630, 1345, 13885, 2608, 824, 1070, 1345, 13885, 994, 2018, 674, 344, 815, 674, 344, 4732, 574, 680, 1518, 4590, 2018, 2132, 674, 344, 454, 1038, 3116, 912, 2018, 530, 1408, 815, 32065, 310, 4311, 13885, 267, 1278, 13885, 994, 2018, 1535, 272, 815, 1582, 11859, 2608, 630, 342, 1408, 270, 1345, 13885, 994, 2018, 1535, 273, 815, 824, 11859, 2608, 630, 342, 1408, 270, 1278, 13885, 994, 2018, 586, 272, 815, 530, 1408, 454, 2018, 674, 343, 815, 674, 2350, 17301, 3287, 272, 14870, 273, 1070, 703, 12169, 272, 4917, 2018, 674, 343, 815, 674, 343, 4732, 574, 680, 1518, 4590, 2018, 2132, 674, 343, 454, 825, 1219, 6449, 3464, 889, 9191, 1345, 267, 824, 2567, 8587, 1948, 703, 1922, 2350, 454, 1038, 1948, 4691, 1690, 1582, 795, 652, 535, 2350, 267, 513, 824, 795, 652, 703, 2336, 1038, 2132, 674, 2350, 4311, 13885, 2608, 824, 910, 1582, 11859, 267, 1582, 13885, 2020, 825, 1219, 6449, 332, 592, 9191, 1345, 267, 824, 2567, 1948, 535, 2350, 272, 265, 2765, 273, 267, 535, 2350, 265, 842, 454, 1038, 952, 263, 529, 27349, 263, 1278, 267, 842, 15892, 2018, 674, 344, 815, 674, 2350, 4311, 11859, 2608, 824, 267, 1345, 13885, 994, 2018, 674, 344, 815, 674, 344, 4732, 574, 680, 1518, 4590, 2018, 2132, 674, 344, 454, 1038, 3116, 912, 2018, 1535, 272, 815, 1582, 11859, 2608, 824, 11859, 454, 2018, 586, 272, 815, 1582, 13885, 2608, 824, 13885, 454, 2018, 674, 343, 815, 674, 2350, 3287, 272, 11971, 272, 994, 2018, 674, 343, 815, 674, 343, 4732, 574, 680, 1518, 4590, 2018, 2132, 674, 343, 454, 825, 6449, 3944, 592, 1029, 815, 6449, 332, 592, 1029, 23526, 1948, 703, 265, 2765, 692, 258, 825, 1219, 6449, 15965, 9191, 1345, 267, 824, 2567, 567, 1948, 535, 2350, 272, 270, 2765, 273, 267, 535, 2350, 270, 842, 267, 5124, 476, 273, 692, 258, 825, 1219, 6449, 6113, 643, 9191, 1345, 267, 824, 2567, 1780, 1948, 703, 270, 2765, 267, 5124, 476, 273, 692, 825, 1219, 6449, 339, 29471, 643, 9191, 1345, 267, 824, 2567, 567, 1948, 535, 2350, 272, 270, 2765, 273, 267, 535, 2350, 270, 842, 267, 5124, 476, 274, 454, 1038, 952, 263, 529, 27349, 263, 1278, 267, 842, 15892, 2018, 952, 263, 1278, 2652, 476, 271, 2187, 3546, 6318, 28759, 3488, 301, 773, 4779, 345, 3534, 546 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

[ 0, 289, 312, 681, 9680, 667, 8582, 10064, 454, 307, 18967, 3996, 700, 4774, 2729, 538, 606, 1035, 1941, 1164, 538, 519, 8371, 540, 513, 4279, 18718, 10326, 269, 4173, 3529, 18795, 593, 513, 5679, 3326, 6772, 8504, 26121, 5211, 267, 543, 1352, 543, 1200, 2828, 723, 1614, 9035, 281, 634, 27392, 945, 4503, 1010, 11370, 3960, 267, 27124, 7219, 18844, 267, 543, 21667, 3619, 846, 543, 519, 21009, 268, 1122, 326, 269, 3689, 789, 948, 519, 13520, 945, 4503, 1010, 18388, 1107, 2879, 698, 3022, 593, 513, 555, 1941, 10362, 547, 1989, 17056, 6004, 269, 595, 716, 639, 256, 3973, 789, 3643, 519, 2777, 540, 25882, 595, 821, 543, 3212, 3899, 8000, 543, 13743, 1524, 547, 519, 4262, 547, 2150, 4120, 4239, 22455, 1107, 646, 779, 1932, 1762, 547, 1293, 1010, 7953, 5265, 543, 4991, 873, 6404, 909, 256, 13536, 789, 3460, 547, 519, 16176, 344, 15142, 547, 5873, 689, 10793, 29778, 1018, 2186, 540, 1373, 646, 2731, 568, 267, 543, 10793, 6645, 519, 10565, 9661, 540, 875, 646, 3357, 547, 581, 269, 7053, 267, 1310, 1082, 9035, 2462, 543, 1507, 789, 1265, 856, 945, 519, 1483, 3993, 540, 519, 3368, 268, 1122, 326, 568, 267, 519, 835, 21667, 3619, 846, 1336, 538, 519, 16095, 543, 568, 5462, 547, 24011, 2059, 609, 1200, 1378, 5798, 563, 4322, 616, 2241, 267, 17608, 543, 9589, 8941, 1305, 538, 2470, 269, 9966, 5387, 267, 3325, 1370, 267, 521, 1481, 710, 543, 546, 2651, 267, 789, 616, 5078, 585, 2542, 547, 1762, 1453, 630, 11779, 7124, 547, 3446, 476, 274, 264, 610, 585, 1762, 1453, 547, 1224, 630, 326, 10232, 476, 272, 1107, 476, 275, 1040, 0, 308, 293, 12207, 11622, 908, 547, 17372, 29956, 15302, 454, 763, 4741, 585, 17449, 31814, 729, 3964, 538, 5239, 540, 476, 1220, 271, 547, 18005, 3142, 1927, 11763, 2068, 3173, 543, 19353, 689, 519, 30793, 2471, 540, 19239, 3588, 267, 6925, 543, 27259, 6925, 563, 290, 10938, 585, 7636, 8762, 5735, 454, 763, 4741, 585, 17449, 31814, 3854, 3278, 543, 13976, 2390, 519, 3056, 6316, 1382, 540, 519, 1459, 4295, 540, 23712, 3173, 563, 22487, 585, 7636, 8762, 5735, 454, 19733, 568, 513, 1713, 5692, 540, 519, 4099, 543, 568, 15491, 563, 763, 991, 585, 3194, 454, 1103, 2739, 1190, 15302, 29956, 3676, 616, 1851, 519, 1034, 2565, 1072, 2042, 5001, 269, 1234, 15041, 1120, 532, 11763, 8069, 267, 607, 1134, 607, 1007, 15084, 15033, 12490, 267, 1118, 11763, 3676, 513, 2101, 1072, 1966, 563, 12441, 596, 917, 286, 717, 636, 2068, 814, 1044, 5532, 547, 513, 3099, 540, 824, 1072, 2042, 267, 1519, 281, 2295, 2068, 543, 2295, 6285, 3987, 543, 922, 1852, 8482, 27131, 12263, 454, 12901, 574, 15412, 10118, 543, 17261, 1149, 9453, 4028, 1646, 540, 17059, 15412, 10118, 543, 10074, 267, 649, 3068, 606, 5736, 540, 20427, 2799, 24896, 543, 9019, 689, 11763, 3676, 563, 302, 1537, 6375, 1108, 8276, 15412, 5735, 1382, 1895, 454, 15812, 14355, 10985, 454, 763, 16316, 20051, 540, 519, 17327, 16332, 1108, 19072, 15412, 5735, 3194, 6828, 568, 849, 1634, 607, 519, 4460, 14355, 10985, 538, 8956, 540, 922, 13653, 267, 4460, 14355, 267, 1912, 6185, 269, 630, 4198, 271, 1700, 1220, 271, 264, 0, 2419, 659, 3415, 538, 717, 19724, 454, 30875, 8830, 3250, 630, 1551, 269, 18148, 2826, 1084, 994, 303, 584, 3250, 281, 18004, 5181, 476, 1015, 267, 476, 13679, 280, 267, 538, 31689, 267, 4789, 282, 5747, 972, 5437, 476, 2641, 267, 476, 15433, 276, 2826, 1084, 281, 18004, 5437, 476, 2420, 267, 476, 4489, 274, 267, 538, 8899, 652, 21510, 267, 4789, 282, 5747, 5412, 476, 275, 267, 476, 3192, 277, 267, 538, 25548, 324, 15734, 267, 4789, 454, 30875, 8830, 3250, 267, 835, 540, 519, 1034, 12021, 25803, 538, 4789, 779, 1686, 267, 729, 519, 1418, 626, 693, 519, 30989, 9576, 543, 31689, 30745, 267, 1141, 646, 568, 12617, 269, 1261, 5206, 585, 519, 5939, 267, 585, 519, 14364, 267, 543, 585, 1169, 2186, 540, 4357, 2773, 269, 6145, 20787, 691, 543, 21780, 1564, 810, 18255, 267, 646, 1185, 513, 1279, 543, 11327, 4876, 602, 729, 27772, 883, 513, 10715, 540, 1152, 13977, 29350, 1296, 269, 1261, 729, 519, 1152, 21917, 1354, 808, 269, 590, 269, 29732, 4171, 960, 568, 3769, 538, 519, 556, 13630, 800, 540, 519, 1623, 21620, 32316, 269, 8830, 3250, 568, 1655, 1634, 547, 2221, 779, 9458, 585, 519, 3357, 334, 5920, 1010, 2575, 2306, 538, 18148, 2826, 1084, 779, 8479, 12287, 779, 6651, 547, 519, 2107, 3832, 14259, 563, 27001, 476, 15433, 271, 543, 476, 15433, 276, 4805, 267, 8830, 3250, 7768, 2575, 585, 3592, 15823, 4249, 282, 519, 2575, 729, 865, 3573, 267, 538, 930, 2665, 267, 607, 12303, 547, 6460, 519, 4249, 883, 1766, 553, 269, 3571, 15747, 2575, 2882, 5216, 647, 2572, 543, 1082, 2110, 4773, 585, 3771, 1186, 747, 867, 267, 1079, 5036, 540, 2468, 334, 5067, 21648, 3370, 538, 476, 12739, 274, 267, 543, 2663, 267, 513, 4015, 540, 20646, 553, 5362, 799, 646, 5206, 1472, 476, 12739, 271, 563, 303, 584, 3250, 7768, 519, 932, 659, 3415, 585, 606, 26254, 540, 3423, 338, 267, 6367, 539, 5569, 539, 7405, 609, 1954, 1206, 267, 3335, 4371, 19794, 899, 1591, 657, 610, 5595, 536, 13293, 269, 10251, 267, 519, 4266, 950, 8830, 3250, 7768, 713, 932, 659, 3415, 267, 606, 4830, 960, 267, 568, 711, 1634, 267, 855, 5310, 621, 4646, 851, 540, 930, 10071, 531, 2575, 646, 5206, 585, 513, 1404, 610, 930, 824, 1808, 8317, 269, 589, 669, 659, 3415, 630, 293, 337, 269, 669, 13154, 928, 898, 1421, 524, 13519, 935, 320, 264, 5161, 540, 513, 3126, 540, 7648, 936, 513, 7368, 18369, 1899, 4137, 1634, 607, 26723, 514, 6737, 269, 634, 960, 779, 2140, 568, 8966, 543, 4667, 547, 581, 2189, 281, 621, 1131, 723, 1044, 4397, 547, 1289, 519, 5888, 2048, 577, 13154, 928, 685, 1310, 519, 3943, 563, 303, 584, 3250, 779, 1034, 25442, 23507, 337, 729, 18148, 2826, 1084, 267, 945, 9862, 713, 22192, 932, 659, 3415, 538, 851, 547, 24559, 5716, 543, 9458, 609, 1010, 13747, 31317, 779, 2575, 269, 1323, 5216, 24578, 5501, 18369, 3948, 602, 519, 2539, 12673, 6338, 5713, 607, 519, 5748, 585, 29933, 7648, 269, 769, 930, 540, 519, 7648, 267, 519, 18369, 4137, 5526, 538, 519, 2362, 8686, 334, 5367, 7405, 269, 8830, 3250, 2968, 519, 2063, 2101, 4137, 547, 2263, 713, 1880, 3898, 269, 1261, 2813, 1010, 2575, 693, 519, 27139, 4090, 950, 519, 4587, 3423, 1920, 540, 7405, 729, 4098, 547, 6556, 547, 519, 811, 13085, 4626, 3691, 540, 3423, 1231, 563, 289, 9287, 6192, 519, 11460, 585, 5569, 14415, 564, 538, 476, 3707, 279, 543, 15428, 621, 585, 5569, 32316, 538, 476, 3422, 274, 269, 1261, 8359, 711, 547, 7369, 8830, 3250, 779, 3312, 1931, 540, 4967, 267, 855, 267, 844, 7627, 17722, 28818, 267, 25282, 513, 968, 920, 323, 1043, 6422, 2497, 543, 11007, 540, 12297, 1540, 18819, 543, 3892, 540, 2694, 1848, 2826, 1084, 5206, 281, 968, 763, 6249, 267, 1101, 540, 782, 538, 519, 536, 13293, 267, 7575, 538, 513, 1533, 569, 6752, 689, 513, 1164, 547, 513, 1970, 717, 269, 898, 568, 7368, 1082, 2053, 538, 519, 18369, 609, 8795, 18282, 1657, 269, 898, 1287, 6238, 3001, 1472, 519, 32316, 269, 1703, 568, 513, 844, 11232, 1496, 324, 12915, 4063, 316, 4528, 609, 5230, 22334, 1657, 621, 267, 799, 2488, 519, 1570, 585, 1896, 10221, 1431, 269, 1703, 616, 930, 1863, 543, 1110, 6819, 8747, 540, 621, 267, 543, 513, 8220, 8574, 5012, 547, 513, 3196, 995, 543, 24754, 3948, 538, 717, 5634, 1848, 4340, 547, 2826, 1084, 267, 519, 960, 20147, 609, 968, 320, 1273, 4854, 8390, 267, 609, 21177, 10859, 6709, 28316, 630, 338, 4869, 7570, 4967, 1070, 543, 7368, 2048, 7809, 685, 1765, 303, 584, 3250, 779, 1378, 6044, 3034, 2419, 659, 3415, 568, 20639, 585, 12673, 538, 2185, 2694, 563, 293, 13083, 8535, 689, 519, 3703, 1772, 956, 454, 19906, 269, 20636, 21642, 31763, 564, 994, 763, 20636, 21642, 31763, 564, 814, 6074, 1312, 3703, 543, 29735, 26107, 585, 713, 5542, 269, 1358, 723, 6074, 12563, 2575, 267, 799, 789, 723, 1336, 538, 968, 718, 519, 1507, 4025, 269, 898, 568, 2199, 2575, 267, 855, 607, 971, 568, 849, 519, 2575, 540, 10876, 543, 3025, 1848, 769, 891, 2025, 23964, 267, 789, 723, 1336, 968, 9404, 1619, 5898, 543, 3178, 892, 543, 723, 1500, 12417, 267, 865, 602, 789, 1522, 267, 538, 741, 1913, 267, 968, 28410, 873, 998, 519, 5420, 540, 938, 5569, 14415, 564, 892, 609, 968, 1492, 2856, 540, 2261, 11538, 1079, 2241, 855, 3532, 1919, 267, 12563, 2575, 543, 519, 5569, 14415, 564, 1848, 4329, 267, 968, 2171, 1336, 513, 19619, 540, 5863, 26107, 1107, 543, 649, 4126, 596, 786, 2972, 1018, 649, 1705, 547, 873, 1848, 13018, 267, 538, 6340, 540, 519, 29735, 23964, 267, 519, 26712, 304, 814, 1336, 713, 2575, 547, 581, 968, 13678, 921, 267, 609, 513, 5905, 540, 16678, 14264, 3273, 344, 3034, 21803, 31763, 564, 3143, 269, 476, 1691, 267, 538, 667, 19724, 267, 667, 269, 476, 279, 1015, 12462, 5719, 987, 543, 519, 631, 4660, 523, 892, 994, 29820, 5130, 476, 4029, 267, 476, 9692, 278, 267, 538, 21499, 282, 5747, 972, 5437, 476, 866, 267, 476, 9264, 279, 454, 19913, 340, 6975, 729, 711, 7164, 1282, 1010, 2110, 10715, 267, 855, 2760, 2731, 1185, 606, 1271, 1747, 538, 1857, 7574, 1272, 269, 1261, 5747, 1152, 28465, 3275, 1310, 2142, 29348, 779, 2669, 267, 855, 519, 1079, 25803, 20948, 1114, 966, 1329, 19063, 269, 5576, 340, 6975, 267, 7429, 15917, 323, 333, 267, 20787, 691, 267, 543, 2142, 29348, 267, 1185, 1100, 1489, 689, 14547, 3885, 269, 4014, 646, 1185, 930, 9565, 2828, 267, 646, 5030, 6140, 607, 513, 2539, 1362, 966, 1329, 333, 3150, 267, 543, 1010, 2241, 6197, 1522, 581, 17941, 968, 22517, 1335, 1014, 1848, 1261, 7249, 27935, 609, 2828, 1010, 2085, 267, 1082, 16805, 543, 930, 689, 14547, 3885, 267, 543, 789, 13984, 1857, 7574, 2621, 543, 25343, 519, 4583, 12372, 267, 2523, 2142, 29348, 267, 689, 513, 3845, 563, 5226, 691, 564, 3143, 269, 476, 1691, 267, 1634, 607, 968, 5719, 987, 543, 519, 631, 4660, 523, 2223, 729, 1101, 5340, 538, 5130, 476, 9264, 277, 538, 519, 966, 1329, 333, 3150, 1753, 540, 1079, 23153, 12372, 267, 20913, 543, 30686, 27725, 518, 269, 901, 4190, 14415, 564, 267, 799, 5576, 340, 6975, 5206, 267, 610, 693, 2547, 3459, 538, 476, 9264, 275, 267, 568, 3078, 585, 922, 11733, 543, 9165, 267, 855, 621, 729, 711, 3226, 3811, 693, 1101, 269, 769, 1249, 267, 519, 1101, 3423, 21442, 22695, 1794, 5576, 6269, 11961, 662, 540, 519, 1340, 539, 5576, 6269, 11961, 662, 31763, 564, 799, 6566, 328, 1229, 1082, 540, 2142, 29348, 779, 14415, 1115, 267, 1185, 8373, 4730, 519, 1101, 30413, 851, 1317, 540, 1010, 4359, 2085, 543, 5360, 7134, 547, 5576, 340, 6975, 1310, 519, 1404, 28443, 267, 968, 29662, 750, 267, 713, 568, 4986, 693, 782, 267, 1577, 1134, 4805, 281, 6529, 547, 707, 700, 1221, 518, 1848, 8616, 5576, 340, 6975, 267, 945, 5206, 19939, 5569, 14415, 1115, 538, 782, 267, 7768, 835, 811, 1310, 713, 835, 269, 4014, 646, 2366, 621, 2059, 609, 1079, 824, 14415, 1115, 267, 1614, 1766, 553, 267, 513, 2527, 267, 543, 513, 1623, 21620, 547, 519, 17404, 5576, 2714, 267, 5576, 2714, 8120, 873, 782, 267, 1065, 2391, 602, 5576, 340, 6975, 779, 3902, 729, 1454, 1932, 1164, 267, 543, 602, 646, 1058, 968, 338, 754, 873, 1945, 1447, 2352, 538, 4443, 10569, 1848, 634, 1267, 281, 519, 14415, 564, 729, 711, 3370, 2394, 1310, 5576, 340, 6975, 779, 2669, 269, 2290, 4207, 2689, 689, 519, 1284, 31483, 4053, 1731, 23653, 3832, 661, 559, 14006, 538, 476, 9264, 277, 267, 693, 2547, 267, 729, 2110, 543, 6653, 15663, 602, 538, 2773, 519, 4062, 1185, 968, 1492, 5207, 7499, 20089, 267, 1547, 1547, 1547, 5693, 6829, 269, 4515, 895, 4743, 267, 3196, 543, 19259, 267, 4644, 543, 21755, 543, 19621, 3595, 21656, 1496, 527, 316, 3034, 763, 1279, 1101, 3350, 267, 1325, 5586, 549, 267, 9727, 1390, 1379, 543, 568, 1312, 10565, 543, 13249, 269, 769, 621, 267, 5576, 340, 6975, 849, 10525, 1010, 17117, 540, 25244, 269, 5221, 621, 3568, 865, 1082, 2093, 267, 6754, 26186, 603, 338, 814, 29499, 593, 519, 17784, 339, 4137, 267, 799, 5546, 519, 21044 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

[ 901, 1650, 827, 513, 3068, 1652, 8970, 8152, 330, 6564, 6941, 519, 2495, 540, 3020, 5898, 269, 634, 1257, 729, 2919, 585, 10026, 1377, 1053, 1565, 519, 15011, 1177, 330, 1893, 269, 15011, 1177, 330, 1893, 1152, 269, 1703, 568, 1100, 2296, 8144, 3177, 269, 1323, 5140, 3450, 4199, 585, 4896, 1565, 918, 2033, 26387, 520, 820, 15011, 1177, 330, 269, 0, 23797, 5511, 5525, 540, 11848, 26467, 630, 283, 328, 285, 289, 648, 690, 611, 639, 1767, 320, 9572, 328, 285, 264, 12140, 281, 12830, 6052, 853, 2803, 538, 519, 11848, 5253, 5680, 454, 288, 1375, 2958, 725, 540, 11848, 13798, 630, 289, 648, 690, 611, 639, 1767, 320, 264, 538, 19395, 7345, 267, 593, 519, 7013, 5032, 540, 12397, 13665, 529, 6816, 267, 19903, 2120, 14675, 941, 6594, 609, 13278, 344, 1035, 24065, 923, 2553, 538, 476, 2735, 280, 543, 476, 1960, 271, 269, 715, 976, 1041, 532, 3165, 941, 849, 8947, 538, 1896, 12397, 13665, 529, 543, 8061, 517, 6816, 536, 904, 269, 4014, 17974, 5365, 27864, 1369, 519, 3506, 31965, 11606, 9193, 630, 19587, 949, 9765, 476, 2004, 15992, 7403, 538, 476, 2735, 280, 8612, 602, 1079, 10015, 725, 540, 2937, 11848, 13798, 1927, 16922, 693, 2547, 476, 12010, 2929, 2043, 269, 10395, 1441, 2627, 1858, 540, 891, 1079, 3506, 729, 476, 6795, 25614, 267, 543, 2698, 13947, 729, 476, 1789, 476, 278, 1428, 19726, 630, 26392, 512, 270, 3873, 1040, 6399, 5860, 538, 835, 1153, 729, 476, 11011, 3165, 11305, 340, 544, 269, 769, 519, 824, 621, 729, 476, 28906, 3165, 11305, 340, 544, 267, 1142, 3165, 30939, 513, 2230, 6697, 547, 827, 835, 1560, 3259, 7750, 539, 269, 589, 4130, 1153, 6594, 538, 519, 1482, 4087, 513, 1032, 2663, 1185, 513, 1611, 5860, 540, 476, 7761, 3165, 11305, 340, 544, 269, 6399, 3259, 540, 2121, 2275, 2194, 3293, 3165, 689, 602, 1153, 729, 476, 1240, 269, 278, 4699, 630, 26950, 1070, 543, 1611, 2597, 729, 476, 4510, 269, 276, 575, 269, 3427, 2627, 1858, 729, 827, 476, 275, 269, 277, 25614, 267, 543, 621, 8659, 606, 6059, 476, 27543, 276, 512, 540, 13947, 630, 277, 1626, 512, 270, 3873, 1040, 9717, 602, 1713, 9830, 540, 13947, 7018, 538, 713, 1507, 6712, 540, 519, 19903, 2120, 14675, 3148, 267, 649, 11943, 602, 267, 538, 3069, 267, 6190, 13947, 729, 3524, 652, 1229, 538, 3165, 3506, 1369, 519, 3148, 547, 1489, 1648, 8928, 998, 519, 1426, 1357, 269, 3600, 15064, 7403, 8612, 602, 3165, 693, 513, 1153, 6316, 941, 3677, 630, 339, 13759, 4222, 1496, 4811, 316, 815, 910, 4510, 269, 278, 28108, 267, 6697, 2450, 815, 476, 866, 269, 274, 4699, 264, 982, 20060, 1041, 532, 3165, 11992, 630, 4811, 815, 910, 7871, 269, 275, 28108, 267, 6697, 2450, 815, 476, 279, 269, 275, 4699, 1040, 25672, 25762, 11606, 2282, 513, 1153, 729, 6825, 569, 4389, 269, 14033, 12397, 13665, 529, 6816, 267, 1141, 1216, 5210, 2429, 519, 1216, 6241, 941, 3436, 268, 272, 269, 274, 595, 267, 3165, 941, 16559, 689, 2627, 547, 5377, 269, 1809, 2282, 8061, 517, 6816, 267, 3165, 941, 1455, 1152, 538, 15911, 2627, 7297, 630, 285, 273, 269, 271, 595, 264, 1657, 513, 6825, 5687, 665, 1467, 693, 827, 476, 3374, 544, 267, 855, 711, 4514, 267, 1141, 1216, 2837, 729, 910, 272, 269, 276, 595, 269, 0, 2171, 723, 9619, 519, 1966, 540, 519, 17478, 540, 1591, 1899, 1137, 1282, 519, 1646, 540, 20162, 543, 4887, 538, 519, 7105, 18215, 5229, 269, 634, 1739, 6901, 6542, 602, 2038, 18215, 19512, 2874, 540, 693, 2547, 1079, 4830, 1016, 16647, 2827, 540, 8149, 24888, 2281, 734, 29006, 538, 630, 320, 264, 519, 1250, 8328, 543, 630, 321, 264, 519, 669, 1180, 4088, 545, 22871, 734, 6518, 666, 581, 9308, 9674, 269, 19204, 5833, 689, 3942, 476, 736, 267, 476, 2641, 267, 543, 476, 2420, 18215, 19512, 941, 31796, 585, 476, 276, 554, 538, 519, 4527, 540, 513, 1395, 16438, 4689, 17193, 602, 729, 8385, 9678, 585, 922, 2702, 547, 1033, 778, 4776, 5166, 6053, 1250, 8328, 2281, 689, 29414, 14290, 269, 634, 1033, 3737, 18215, 5229, 2281, 941, 6394, 543, 4562, 730, 538, 3339, 5420, 269, 10738, 476, 273, 546, 5176, 782, 540, 519, 4562, 730, 2281, 1185, 21630, 883, 1250, 29793, 6814, 543, 1250, 582, 25683, 282, 1100, 669, 1180, 549, 4565, 6814, 21630, 538, 891, 4529, 269, 769, 4334, 267, 519, 3312, 740, 6254, 2551, 602, 7283, 1310, 519, 17193, 14001, 1033, 16670, 540, 519, 1250, 8328, 2281, 21630, 7361, 883, 20162, 543, 729, 27507, 540, 4887, 269, 681, 8960, 519, 17193, 1673, 564, 3737, 2281, 630, 328, 4318, 1421, 18187, 908, 1250, 8328, 840, 15479, 832, 543, 2022, 2466, 5328, 1250, 29793, 6814, 264, 538, 5420, 1634, 547, 3895, 669, 1180, 4088, 8412, 1705, 711, 16578, 891, 2281, 547, 669, 1180, 337, 1518, 269, 17957, 267, 556, 2130, 519, 7923, 24888, 2281, 630, 328, 4318, 1421, 669, 1180, 4088, 545, 840, 15479, 832, 264, 538, 5420, 1634, 547, 3895, 1250, 14003, 1705, 711, 16578, 891, 2281, 547, 10929, 1250, 14003, 269, 634, 17046, 1395, 31265, 730, 1250, 29793, 6814, 543, 1617, 514, 16197, 730, 1250, 582, 25683, 941, 4857, 676, 4887, 10391, 12489, 1996, 1769, 5789, 3912, 28009, 610, 964, 2381, 267, 6466, 519, 17046, 669, 1180, 549, 4565, 6814, 941, 4857, 676, 513, 1395, 16438, 4689, 17193, 1996, 519, 23128, 27979, 23253, 11800, 540, 519, 20162, 10391, 9829, 730, 2926, 16570, 4754, 269, 1452, 4681, 616, 14648, 607, 5885, 519, 22871, 8367, 538, 799, 519, 15285, 1982, 540, 513, 1591, 568, 5462, 676, 1797, 540, 18302, 998, 735, 25902, 540, 513, 22871, 563, 20225, 9653, 540, 24888, 1250, 8328, 543, 669, 1180, 4088, 545, 2281, 538, 2038, 18215, 5229, 8544, 523, 16408, 1889, 676, 513, 1395, 16438, 4689, 17193, 563, 268, 14358, 27748, 14358, 454, 268, 7300, 13017, 14457, 454, 268, 9523, 27748, 9523, 454, 268, 9612, 13505, 454, 297, 590, 21692, 267, 589, 9710, 21032, 267, 631, 7414, 328, 267, 670, 4591, 339, 10045, 282, 9484, 9653, 540, 24888, 1250, 8328, 543, 669, 1180, 4088, 545, 2281, 538, 2038, 18215, 5229, 8544, 523, 16408, 1889, 676, 513, 1395, 16438, 4689, 17193, 907, 808, 8426, 22776, 476, 272, 5437, 476, 2735, 275, 282, 476, 4200, 630, 276, 2567, 476, 6977, 277, 1700, 5908, 277, 269, 8222, 281, 4179, 2517, 8742, 3820, 270, 1015, 269, 10482, 274, 10768, 322, 321, 269, 4200, 269, 276, 269, 6977, 277, 454, 12606, 11239, 3758, 281, 0, 5416, 264, 25756, 28538, 728, 630, 321, 264, 12539, 771, 5285, 728, 630, 322, 264, 21193, 4088, 959, 604, 1663, 528, 728, 630, 323, 264, 1912, 6664, 11501, 20008, 2378, 1663, 528, 728, 454, 13480, 5153, 676, 5153, 454, 2414, 2012, 513, 7636, 7623, 267, 649, 1832, 519, 2012, 540, 519, 1101, 3693, 607, 28104, 543, 1152, 1039, 513, 18772, 547, 621, 952, 972, 568, 811, 982, 835, 11046, 540, 602, 3693, 538, 519, 7623, 269, 1280, 519, 2034, 3693, 538, 519, 7623, 267, 649, 1039, 513, 18772, 547, 519, 2012, 540, 519, 3693, 10452, 875, 1082, 8444, 540, 602, 3693, 616, 538, 519, 7623, 269, 1284, 849, 1689, 519, 10678, 547, 1269, 268, 728, 10608, 630, 320, 264, 769, 713, 7623, 267, 972, 568, 835, 7250, 11046, 543, 835, 28538, 710, 11046, 269, 670, 27778, 568, 4122, 1634, 607, 7250, 28538, 728, 267, 855, 621, 666, 849, 581, 1572, 7250, 1395, 984, 668, 728, 269, 630, 321, 264, 769, 713, 7623, 267, 972, 568, 835, 3327, 11046, 543, 1079, 16247, 8444, 269, 1284, 2012, 568, 3327, 771, 5285, 728, 269, 630, 322, 264, 769, 713, 7623, 267, 972, 568, 835, 9436, 11046, 543, 1614, 14806, 710, 8444, 269, 4706, 2012, 568, 9436, 959, 604, 1663, 528, 728, 269, 630, 323, 264, 1284, 723, 835, 16903, 11046, 543, 2947, 8444, 540, 14806, 710, 269, 4706, 2012, 568, 16903, 20008, 2378, 1663, 528, 728, 269, 0, 293, 1716, 663, 10609, 333, 641, 742, 779, 2274, 5800, 11681, 632, 12540, 21838, 924, 543, 5487, 590, 874, 16636, 676, 674, 2946, 997, 1329, 681, 3591, 267, 1312, 9715, 676, 519, 3751, 645, 7596, 537, 514, 7690, 267, 616, 593, 10211, 547, 12670, 779, 1325, 974, 2817, 6549, 24809, 2394, 476, 1704, 5130, 476, 1708, 272, 269, 634, 1568, 7703, 21981, 547, 519, 1713, 1909, 5129, 676, 19934, 538, 519, 1646, 540, 29526, 538, 2342, 563, 763, 1439, 540, 519, 476, 866, 628, 2540, 14754, 519, 4332, 540, 513, 1007, 7499, 3350, 602, 729, 6353, 676, 2283, 7081, 267, 9814, 543, 19450, 640, 267, 607, 1134, 607, 513, 1978, 22906, 585, 9059, 269, 29761, 267, 1373, 4092, 4571, 17574, 1063, 4279, 6628, 543, 519, 1964, 540, 25550, 2342, 267, 729, 513, 2442, 5870, 1747, 585, 5159, 540, 519, 1974, 543, 19934, 3976, 2968, 1945, 540, 513, 13398, 585, 519, 1646, 540, 29526, 538, 2342, 563, 4415, 1010, 5800, 11681, 632, 12540, 21838, 924, 267, 22513, 663, 10609, 333, 641, 742, 5189, 519, 3239, 540, 519, 12357, 4807, 267, 513, 6249, 602, 1131, 1831, 3844, 547, 13507, 626, 5159, 269, 634, 4807, 538, 519, 7206, 568, 10609, 333, 641, 742, 779, 1378, 11078, 543, 544, 2224, 267, 12540, 21838, 924, 267, 7247, 646, 6719, 607, 519, 4998, 267, 855, 849, 12357, 543, 538, 17739, 1043, 4807, 563, 14582, 15001, 29526, 568, 3226, 10058, 998, 922, 2392, 850, 794, 585, 5672, 629, 516, 543, 1232, 611, 550, 5396, 269, 1323, 1383, 568, 5487, 590, 874, 16636, 630, 1492, 21058, 590, 874, 514, 343, 264, 676, 674, 2946, 997, 1329, 681, 3591, 267, 799, 646, 13556, 585, 519, 4015, 540, 2984, 15776, 4144, 21966, 2294, 267, 2854, 676, 808, 2737, 4446, 21161, 546, 685, 288, 675, 341, 11035, 269, 634, 960, 4564, 513, 4807, 554, 19982, 513, 6149, 838, 327, 514, 343, 267, 855, 945, 568, 1373, 838, 1221, 2390, 676, 30616, 267, 21039, 607, 513, 667, 22929, 269, 681, 3591, 25868, 1010, 1974, 779, 6891, 540, 29678, 676, 20498, 569, 1997, 908, 2283, 7081, 543, 24896, 269, 0, 763, 476, 6078, 5174, 12284, 8929, 713, 21933, 1664, 8523, 1175, 8090, 1310, 13472, 1948, 276, 729, 3144, 269, 2368, 811, 4628, 2919, 19711, 21650, 666, 581, 2938, 538, 519, 1482, 19384, 7088, 269, 1879, 519, 8375, 15921, 15252, 9587, 2743, 519, 21050, 18108, 267, 610, 3490, 540, 519, 14404, 14459, 267, 693, 827, 476, 2004, 267, 1822, 3952, 267, 789, 3914, 513, 18109, 543, 666, 1100, 3476, 4473, 26255, 14688, 676, 28681, 269, 634, 7123, 2837, 540, 519, 14404, 14459, 16401, 525, 2417, 740, 328, 629, 1738, 607, 1417, 540, 7509, 602, 814, 1044, 9141, 998, 519, 7708, 1842, 335, 1877, 676, 519, 476, 279, 1700, 1556, 4110, 8276, 850, 561, 8985, 2557, 269, 5502, 267, 4672, 12269, 3262, 23276, 883, 519, 6905, 4963, 6350, 9843, 2938, 538, 713, 8523, 267, 8108, 519, 968, 534, 341, 559, 9843, 892, 602, 649, 2697, 689, 519, 2666, 269, 634, 32067, 267, 13692, 344, 1646, 1472, 519, 8728, 269, 1993, 930, 540, 519, 19711, 21650, 568, 12620, 2747, 734, 4248, 11517, 538, 519, 6531, 568, 7432, 547, 4672, 693, 1164, 15820, 563, 4306, 306, 476, 6078, 5174, 267, 5988, 476, 2735, 275, 269, 16514, 1948, 1556, 268, 6078, 268, 23056, 278, 269 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

[ 17903, 3546, 1247, 6936, 6769, 7386, 579, 324, 828, 933, 529, 2426, 15883, 564, 3394, 815, 703, 9272, 2891, 1692, 1454, 2724, 798, 596, 1616, 547, 2628, 719, 8119, 17903, 7386, 952, 1582, 14857, 27665, 318, 25270, 910, 579, 324, 828, 933, 529, 2426, 15883, 564, 3394, 2999, 476, 271, 6769, 13376, 1820, 2891, 2791, 798, 711, 723, 2614, 2724, 593, 707, 4871, 2272, 10590, 3418, 13376, 1820, 4311, 14857, 27665, 318, 25270, 10142, 7386, 3116, 6769, 13376, 1582, 14857, 27665, 318, 25270, 815, 1582, 14857, 27665, 318, 25270, 910, 579, 324, 828, 933, 529, 2426, 15883, 564, 3394, 1477, 13376, 2736, 1477, 1038, 4849, 6769, 2018, 1820, 2891, 1103, 20777, 3403, 257, 10142, 825, 1219, 7555, 24576, 3698, 4311, 2567, 1948, 323, 21516, 879, 1111, 4048, 1477, 1038, 2119, 6769, 2018, 7555, 4650, 815, 3403, 2891, 2710, 596, 1616, 547, 1118, 513, 7555, 1931, 8119, 3418, 2018, 952, 7555, 4650, 2652, 834, 8133, 257, 610, 7555, 4650, 2652, 834, 13433, 257, 610, 7555, 4650, 2652, 834, 312, 2668, 12294, 3890, 2433, 1477, 3546, 7555, 318, 4650, 318, 6518, 318, 27665, 815, 703, 9272, 2891, 13911, 538, 519, 4871, 2272, 1297, 540, 519, 824, 4871, 2272, 8227, 1701, 17903, 3546, 1247, 6936, 6769, 7386, 7555, 318, 4650, 318, 6518, 318, 27665, 815, 703, 9272, 2891, 1692, 1454, 2724, 798, 596, 1616, 547, 2628, 719, 8119, 17903, 7386, 952, 1582, 14857, 27665, 318, 25270, 910, 7555, 318, 4650, 318, 6518, 318, 27665, 2999, 476, 271, 6769, 13376, 1820, 2891, 2791, 798, 711, 723, 2614, 2724, 593, 707, 4871, 2272, 10590, 3418, 13376, 1820, 4311, 14857, 27665, 318, 25270, 10142, 7386, 3116, 6769, 13376, 1582, 14857, 27665, 318, 25270, 815, 1582, 14857, 27665, 318, 25270, 910, 7555, 318, 4650, 318, 6518, 318, 27665, 1477, 13376, 2736, 1477, 1038, 4849, 6769, 2018, 1820, 2891, 1103, 20777, 3403, 257, 10142, 825, 1219, 2367, 826, 4311, 8029, 1038, 2824, 318, 5443, 826, 815, 3403, 2891, 1432, 798, 596, 1616, 547, 798, 8119, 1477, 4449, 17264, 27719, 333, 5327, 17763, 527, 263, 272, 9385, 339, 28324, 719, 263, 273, 17983, 1477, 4449, 17264, 27719, 333, 9558, 2536, 263, 274, 9385, 339, 18184, 532, 1931, 263, 275, 264, 14744, 1038, 952, 2824, 318, 5443, 826, 2652, 834, 272, 257, 610, 2824, 318, 5443, 826, 2652, 834, 5327, 17763, 527, 257, 610, 2824, 318, 5443, 826, 2652, 834, 9188, 17763, 527, 257, 6769, 2018, 1582, 6155, 788, 21627, 3698, 14052, 2018, 2944, 815, 8771, 1477, 2018, 1247, 711, 2944, 6769, 3546, 3136, 324, 815, 3403, 2891, 2710, 596, 1616, 547, 798, 1945, 3116, 8119, 3418, 3546, 952, 3136, 324, 2652, 834, 8133, 257, 610, 3136, 324, 2652, 834, 13433, 9899, 1948, 528, 834, 312, 2668, 12294, 28399, 7386, 1948, 2745, 2891, 11687, 14744, 7386, 1948, 323, 821, 815, 6936, 1477, 7386, 1582, 269, 5443, 826, 31476, 3546, 8640, 3136, 324, 2652, 834, 5591, 257, 610, 3136, 324, 2652, 834, 7224, 9899, 258, 610, 834, 301, 2668, 12294, 28399, 7386, 1820, 2891, 5970, 513, 1434, 1554, 14744, 7386, 1948, 323, 821, 815, 6936, 1477, 7386, 14827, 31476, 3546, 3116, 6769, 7386, 1820, 2891, 1103, 20777, 3403, 14744, 5897, 1038, 8640, 2824, 318, 5443, 826, 2652, 834, 273, 257, 610, 2824, 318, 5443, 826, 2652, 834, 28324, 719, 257, 610, 2824, 318, 5443, 826, 2652, 834, 335, 599, 719, 257, 6769, 2018, 1582, 4877, 11691, 719, 3698, 31476, 1038, 8640, 2824, 318, 5443, 826, 2652, 834, 274, 257, 610, 2824, 318, 5443, 826, 2652, 834, 9558, 2536, 257, 610, 2824, 318, 5443, 826, 2652, 834, 10520, 2536, 257, 6769, 2018, 1582, 6745, 4920, 2536, 3698, 14052, 1038, 8640, 2824, 318, 5443, 826, 2652, 834, 275, 257, 610, 2824, 318, 5443, 826, 2652, 834, 18184, 532, 1931, 257, 610, 2824, 318, 5443, 826, 2652, 834, 9227, 1931, 257, 6769, 2018, 1582, 269, 9227, 24576, 3698, 31476, 1038, 8640, 2824, 318, 5443, 826, 2652, 834, 276, 257, 610, 2824, 318, 5443, 826, 2652, 834, 19651, 2272, 3666, 257, 610, 2824, 318, 5443, 826, 2652, 834, 17004, 2272, 3666, 257, 6769, 2018, 1780, 258, 24709, 602, 1397, 525, 2272, 3666, 5897, 1038, 8640, 2824, 318, 5443, 826, 2652, 834, 277, 257, 610, 2824, 318, 5443, 826, 2652, 834, 19651, 2272, 8227, 5468, 257, 610, 2824, 318, 5443, 826, 2652, 834, 17004, 2272, 8227, 5468, 257, 6769, 2018, 1780, 258, 24709, 602, 1397, 525, 2272, 8227, 5468, 5897, 1038, 8640, 2824, 318, 5443, 826, 2652, 834, 278, 257, 610, 2824, 318, 5443, 826, 2652, 834, 1689, 2272, 8227, 5468, 257, 610, 2824, 318, 5443, 826, 2652, 834, 1689, 2272, 8227, 5468, 257, 6769, 2018, 1780, 258, 24709, 602, 2242, 2272, 8227, 5468, 24653, 3240, 318, 27665, 318, 26782, 815, 7813, 28398, 302, 1233, 518, 12218, 14052, 3240, 28398, 815, 7813, 28398, 31476, 28744, 30044, 28398, 269, 8873, 28398, 14813, 334, 3890, 3418, 28744, 30044, 28398, 6155, 788, 21627, 3698, 3890, 3418, 28744, 30044, 318, 27665, 318, 26782, 269, 27665, 318, 26782, 318, 3698, 28829, 1948, 29592, 2367, 826, 1711, 2272, 1477, 2745, 30044, 28398, 269, 5443, 826, 3890, 3418, 28744, 30044, 28398, 269, 8873, 28398, 14813, 334, 3890, 3418, 258, 7224, 1013, 32218, 341, 3326, 754, 564, 1477, 0, 18411, 25284, 281, 13698, 312, 292, 20677, 12525, 18185, 6874, 1314, 5729, 476, 1626, 270, 1704, 454, 12041, 281, 28234, 321, 597, 667, 1460, 527, 454, 14630, 281, 476, 1704, 270, 6734, 270, 1001, 277, 454, 20373, 281, 6726, 919, 5177, 4880, 6428, 2456, 1310, 20952, 532, 13698, 312, 292, 267, 623, 3290, 543, 4147, 476, 272, 715, 2975, 585, 476, 1001, 277, 270, 1704, 12525, 5729, 543, 2636, 454, 1492, 2164, 547, 581, 2854, 856, 547, 9786, 268, 2750, 4897, 585, 2417, 2079, 543, 5750, 532, 454, 18411, 5814, 1930, 6853, 343, 331, 454, 18257, 31711, 12525, 4858, 1188, 1115, 543, 26162, 18411, 339, 1314, 10403, 24154, 1188, 564, 284, 8099, 876, 269, 271, 454, 339, 1314, 24154, 1188, 564, 21995, 31948, 299, 1077, 284, 8099, 4905, 269, 271, 454, 339, 1314, 24154, 1188, 564, 21995, 31948, 295, 27941, 284, 17168, 876, 269, 271, 454, 339, 1314, 24154, 1188, 564, 295, 27941, 31948, 299, 1077, 284, 17168, 4905, 269, 271, 454, 339, 1314, 24154, 1188, 564, 21206, 31948, 299, 1077, 284, 5611, 1822, 269, 271, 454, 339, 1314, 24154, 1188, 564, 21995, 284, 271, 269, 273, 454, 339, 1314, 24154, 1188, 564, 295, 27941, 284, 271, 269, 275, 454, 339, 1314, 24154, 1188, 564, 21206, 284, 271, 269, 3393, 454, 18257, 31711, 4147, 476, 272, 2817, 15928, 4858, 1188, 1115, 543, 26162, 18411, 25712, 1320, 11611, 284, 3199, 277, 271, 269, 271, 454, 25712, 21995, 31948, 308, 3899, 21918, 527, 284, 25396, 876, 269, 271, 454, 25712, 21995, 31948, 284, 271, 269, 1321, 454, 25712, 6781, 913, 21995, 31948, 284, 271, 269, 6349, 454, 18257, 24280, 12525, 5131, 9608, 14190, 766, 18411, 3698, 2123, 2704, 869, 766, 4433, 531, 776, 2187, 825, 5786, 26476, 815, 630, 15680, 776, 268, 1911, 1822, 8358, 273, 269, 271, 454, 825, 952, 14057, 285, 1911, 1822, 912, 1038, 2123, 9994, 766, 284, 339, 1314, 10403, 24154, 1188, 564, 3146, 9134, 26476, 454, 1038, 2132, 3193, 263, 271, 267, 26051, 9994, 766, 994, 825, 3116, 912, 1038, 2132, 3454, 10403, 24154, 1188, 564, 454, 18257, 24280, 4147, 476, 272, 2817, 15928, 18411, 3698, 3084, 11900, 4269, 4433, 531, 776, 2187, 825, 952, 14057, 10922, 22078, 1320, 11611, 912, 1038, 715, 11900, 4269, 815, 476, 271, 269, 271, 454, 1038, 2132, 715, 11900, 4269, 454, 825, 8640, 14057, 285, 25712, 1320, 11611, 543, 14057, 27045, 25712, 21995, 31948, 308, 3899, 21918, 527, 912, 1038, 715, 11900, 4269, 14352, 15680, 776, 9539, 296, 1320, 11611, 12684, 25712, 21995, 31948, 454, 1038, 2132, 715, 11900, 4269, 454, 825, 8640, 14057, 285, 25712, 21995, 31948, 308, 3899, 21918, 527, 912, 1038, 715, 11900, 4269, 21995, 14352, 25712, 21995, 31948, 308, 3899, 21918, 527, 9539, 296, 1320, 11611, 12684, 25712, 21995, 31948, 454, 1038, 715, 2862, 985, 4269, 6781, 913, 21995, 14352, 15680, 776, 9539, 296, 21995, 31948, 308, 3899, 21918, 527, 12684, 25712, 6781, 913, 21995, 31948, 454, 1038, 715, 11900, 4269, 284, 301, 11900, 4269, 21995, 266, 301, 2862, 985, 4269, 6781, 913, 21995, 454, 1038, 2132, 715, 11900, 4269, 454, 18257, 24280, 2121, 21946, 776, 281, 14407, 21946, 776, 910, 27404, 910, 715, 11900, 4269, 910, 4747, 307, 1314, 18411, 3698, 2121, 21946, 776, 14116, 1484, 25486, 783, 21946, 776, 28872, 3290, 8110, 1417, 2187, 825, 1948, 14407, 25486, 783, 21946, 776, 284, 15615, 263, 3863, 17750, 2891, 921, 848, 4283, 14407, 5993, 14057, 24097, 333, 27363, 825, 1948, 27404, 8110, 1417, 284, 15615, 263, 3863, 17750, 2891, 921, 848, 4283, 6871, 540, 27404, 6976, 281, 1422, 333, 27328, 825, 27404, 284, 326, 1484, 25486, 783, 21946, 776, 265, 335, 3290, 8110, 1417, 454, 825, 3454, 762, 21946, 776, 284, 326, 1484, 25486, 783, 21946, 776, 1790, 3290, 454, 825, 3454, 762, 13707, 284, 339, 1314, 762, 21946, 776, 1790, 5966, 2704, 869, 766, 14116, 1484, 25486, 783, 21946, 776, 994, 825, 9204, 21995, 284, 339, 1314, 24154, 1188, 564, 21995, 31948, 295, 27941, 265, 339, 1314, 24154, 1188, 564, 21995, 1948, 1952, 15533, 547, 2063, 1079, 2665, 454, 825, 952, 3454, 762, 13707, 10922, 476, 271, 912, 1038, 2698, 1103, 2492, 307, 1314, 815, 476, 271, 454, 1038, 2132, 14407, 25486, 783, 21946, 776, 28872, 3290, 8110, 1417, 28872, 3290, 19885, 1049, 11900, 4269, 14116, 1484, 25486, 783, 21946, 776, 1070, 20135, 1103, 2492, 307, 1314, 25722, 1314, 762, 21946, 776, 5991, 1049, 11900, 4269, 14116, 1484, 25486, 783, 21946, 776, 994, 825, 8640, 3454, 762, 13707, 3436, 476, 271, 543, 3454, 762, 13707, 283, 339, 1314, 24154, 1188, 564, 295, 27941, 31948, 299, 1077, 912, 1038, 2698, 1103, 2492, 307, 1314, 284, 339, 1314, 762, 13707, 265, 339, 1314, 24154, 1188, 564, 21995, 454, 1038, 2132, 14407, 25486, 783, 21946, 776, 28872, 3290, 8110, 1417, 28872, 3290, 19885, 1049, 11900, 4269, 14116, 1484, 25486, 783, 21946, 776, 1070, 20135, 1103, 2492, 307, 1314, 25722, 1314, 762, 21946, 776, 2389, 4973, 1103, 2492, 307, 1314, 5991, 1049, 11900, 4269, 14116, 1484, 25486, 783, 21946, 776, 994, 825, 8640, 3454, 762, 13707, 285, 284, 339, 1314, 24154, 1188, 564, 295, 27941, 31948, 299, 1077, 543, 3454, 762, 13707, 27045, 339, 1314, 24154, 1188, 564, 21206, 31948, 299, 1077, 912, 1038, 3454, 762, 295, 27941, 284, 339, 1314, 762, 13707, 2389, 1314, 24154, 1188, 564, 21995, 31948, 295, 27941, 454, 1038, 9204, 295, 27941, 284, 339, 1314, 762, 295, 27941, 265, 339, 1314, 24154, 1188, 564, 295, 27941, 454, 1038, 2698, 1103, 2492, 307, 1314, 284, 339, 31320, 21995, 266, 339, 31320, 295, 27941, 454, 1038, 2132, 14407, 25486, 783, 21946, 776, 28872, 3290, 8110, 1417, 28872, 3290, 19885, 1049, 11900, 4269, 14116, 1484, 25486, 783, 21946, 776, 1070, 20135, 1103, 2492, 307, 1314, 25722, 1314, 762, 21946, 776, 2389, 4973, 1103, 2492, 307, 1314, 5991, 1049, 11900, 4269, 14116, 1484, 25486, 783, 21946, 776, 994, 825, 3116, 912, 1038, 9204, 295, 27941, 14352, 339, 1314, 24154, 1188, 564, 21206, 31948, 299, 1077, 2389, 1314, 24154, 1188, 564, 21995, 31948, 295, 27941, 12684, 339, 1314, 24154, 1188, 564, 295, 27941, 454, 1038, 3454, 762, 21206, 284, 339, 1314, 762, 13707, 2389, 1314, 24154, 1188, 564, 21206, 31948, 299, 1077, 454, 1038, 9204, 21206, 284, 339, 1314, 762, 21206, 265, 339, 1314, 24154, 1188, 564, 21206, 454, 1038, 2698, 1103, 2492, 307, 1314, 284, 339, 31320, 21995, 266, 339, 31320, 295, 27941, 266, 339, 31320, 21206, 454, 1038, 2132, 14407, 25486, 783, 21946, 776, 28872, 3290, 8110, 1417, 28872, 3290, 19885, 1049, 11900, 4269, 14116, 1484, 25486, 783, 21946, 776, 1070, 20135, 1103, 2492, 307, 1314, 25722, 1314, 762, 21946, 776, 2389, 4973, 1103, 2492, 307, 1314, 5991, 1049, 11900, 4269, 14116, 1484, 25486, 783, 21946, 776, 994, 18257, 2237, 519, 3758, 856, 547, 9786, 268, 2750, 4897, 1210, 519, 1930, 6853, 343, 331, 5399, 18411, 3698, 2328, 318, 29798, 10031, 825, 23445, 284, 271, 269, 10219, 454, 825, 530, 321, 284, 13449, 6853, 343, 331, 269, 13480, 1504, 4590, 825, 6656, 284, 342, 321, 10947, 5334, 18694, 318, 2421, 12173, 3488, 9515, 564, 5073, 825, 6656, 9131, 288, 272, 11172, 8782, 294, 1484, 6428, 776, 7055, 825, 6656, 9131, 289, 272, 11172, 8782, 303, 3290, 20587, 7055, 825, 6656, 9131, 290, 272, 11172, 8782, 303, 3290, 7055, 825, 6656, 9131 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

[ 609, 922, 2818, 547, 3986, 15324, 3800, 1759, 593, 606, 2802, 545, 540, 4187, 547, 17536, 1182, 269, 18321, 2861, 3906, 723, 606, 5683, 17185, 547, 9691, 960, 593, 24905, 1782, 519, 5906, 4296, 1063, 4984, 543, 2528, 602, 2124, 326, 919, 2021, 547, 519, 4357, 12106, 267, 1141, 5208, 1034, 4749, 4386, 269, 5668, 27701, 2686, 8155, 543, 11475, 602, 616, 7873, 11238, 610, 1175, 4328, 5208, 1996, 2021, 543, 1004, 540, 1875, 8410, 14127, 4638, 10066, 568, 2629, 547, 3895, 1480, 2924, 585, 782, 563, 301, 528, 19886, 5783, 22707, 1923, 12056, 5132, 11051, 593, 13834, 2861, 20222, 630, 16412, 309, 994, 293, 4883, 5783, 22707, 1923, 25947, 8171, 998, 2069, 454, 22146, 22707, 1923, 769, 5208, 649, 7340, 945, 649, 941, 454, 16898, 29974, 636, 3316, 334, 1923, 3955, 17304, 603, 16684, 593, 13834, 15369, 20222, 454, 22146, 22707, 1923, 700, 8221, 835, 1776, 267, 513, 13400, 4901, 32367, 593, 26838, 309, 454, 16898, 19137, 1923, 9452, 540, 16593, 281, 674, 18017, 5208, 1996, 2021, 538, 26288, 0, 20373, 2433, 1215, 798, 596, 2268, 1379, 3815, 888, 12585, 2433, 623, 284, 476, 272, 269, 10695, 265, 309, 265, 296, 265, 26714, 287, 1141, 623, 568, 1379, 966, 568, 6453, 594, 568, 1699, 2910, 306, 7711, 568, 623, 12171, 2910, 306, 287, 284, 623, 14370, 272, 269, 10695, 265, 309, 265, 296, 264, 538, 824, 1259, 5430, 7711, 815, 3020, 1379, 270, 1952, 1861, 1379, 454, 20373, 2433, 1548, 568, 519, 946, 540, 1379, 3815, 15494, 888, 20373, 2433, 2052, 596, 723, 513, 1379, 3815, 3152, 982, 476, 272, 888, 12585, 2433, 1284, 3112, 723, 1379, 3815, 3152, 982, 476, 272, 269, 1306, 621, 568, 513, 2268, 540, 25482, 540, 5086, 1063, 6453, 543, 1699, 563, 20373, 2433, 1548, 568, 519, 1655, 1379, 3815, 888, 12585, 2433, 898, 568, 9322, 1379, 3815, 855, 2352, 547, 3035, 538, 6422, 13907, 454, 20373, 2433, 1548, 568, 1379, 3815, 5086, 286 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

[ 267, 621, 779, 2182, 711, 547, 5469, 519, 6653, 32709, 4947, 689, 519, 10477, 4829, 6763, 269, 2060, 936, 476, 736, 268, 3199, 1114, 8677, 540, 4829, 267, 891, 2010, 540, 4829, 723, 24964, 5215, 540, 5195, 689, 741, 3312, 554, 32528, 543, 616, 7996, 547, 581, 851, 540, 938, 17175, 16152, 563, 763, 5812, 3761, 540, 2518, 3132, 814, 11292, 721, 513, 1032, 15778, 3761, 540, 8949, 4829, 267, 2943, 621, 814, 24401, 6150, 938, 25903, 538, 19825, 12119, 3132, 563, 293, 8816, 543, 3132, 6492, 1655, 950, 789, 616, 538, 4005, 1107, 789, 616, 1454, 21950, 538, 6492, 543, 1419, 6492, 1114, 689, 1346, 1099, 10999, 12873, 10366, 269, 3371, 616, 476, 1015, 2010, 540, 4829, 602, 616, 6738, 538, 15173, 15158, 610, 538, 15231, 2127, 538, 7013, 3624, 269, 9105, 585, 891, 3132, 693, 707, 2199, 9240, 6203, 1282, 741, 22691, 12405, 543, 2972, 519, 1655, 540, 519, 2927, 640, 10366, 2336, 347, 272, 269, 21060, 630, 418, 509, 367, 418, 358, 503, 994, 13510, 9005, 782, 1032, 5180, 609, 8445, 7727, 1063, 5239, 543, 4989, 267, 24453, 616, 519, 3143, 269, 476, 272, 9513, 4829, 538, 15173, 15158, 269, 1358, 616, 2523, 2442, 1851, 4587, 5481, 267, 1317, 621, 568, 4922, 1634, 676, 22242, 607, 513, 6171, 595, 2707, 602, 666, 2061, 543, 13468, 2589, 540, 4411, 543, 2770, 269, 634, 6455, 2557, 3788, 1164, 267, 1256, 1498, 538, 2487, 1296, 824, 4829, 723, 1044, 15469, 585, 741, 1072, 2640, 269, 1280, 1383, 267, 1368, 6072, 267, 11993, 543, 13099, 11535, 616, 1631, 849, 1634, 585, 741, 1164, 12192, 595, 1543, 563, 347, 273, 269, 13495, 18288, 21060, 630, 418, 509, 495, 1315, 17276, 358, 502, 994, 2026, 835, 540, 519, 1455, 20521, 4829, 3812, 538, 932, 7776, 345, 17924, 4975, 610, 2473, 514, 327, 14241, 10588, 538, 7013, 3624, 267, 8260, 18288, 10538, 568, 513, 14583, 540, 10538, 602, 568, 1454, 4130, 267, 13035, 543, 4418, 2678, 538, 6492, 269, 1358, 616, 2356, 2139, 1472, 5239, 267, 609, 8445, 12405, 1063, 5412, 543, 11354, 16635, 269, 1358, 616, 849, 4922, 2139, 1282, 4457, 1715, 5729, 267, 2094, 922, 12332, 968, 330, 600, 892, 18922, 547, 4154, 538, 519, 22616, 2158, 324, 13172, 563, 8448, 982, 1373, 513, 22273, 5534, 267, 519, 12015, 890, 1564, 540, 519, 8260, 18288, 24453, 616, 849, 2808, 513, 3407, 16392, 10786, 538, 5607, 269, 634, 12015, 890, 1564, 1572, 968, 7770, 14039, 892, 2270, 512, 1052, 4958, 514, 543, 8821, 850, 339, 514, 267, 799, 616, 20521, 32064, 6950, 1634, 585, 2178, 3601, 538, 4550, 13611, 267, 1973, 6077, 14304, 543, 11522, 5786, 269, 1358, 616, 4922, 1031, 538, 4457, 4915, 547, 4339, 1055, 11522, 338, 267, 897, 1091, 543, 10447, 269, 4706, 10826, 568, 1454, 3152, 950, 789, 616, 6740, 3476, 1354, 1373, 1031, 1107, 519, 4587, 519, 890, 1564, 267, 519, 811, 10475, 789, 616, 563, 347, 274, 269, 19748, 517, 630, 418, 359, 372, 418, 359, 361, 994, 3519, 8877, 519, 1034, 12192, 595, 1851, 782, 20521, 5613, 267, 621, 568, 513, 2442, 4829, 3773, 547, 10425, 630, 324, 3052, 269, 476, 5367, 11993, 7401, 264, 538, 15173, 15158, 269, 634, 1079, 1455, 8677, 12630, 538, 15173, 15158, 616, 4457, 19790, 976, 543, 5375, 19790, 976, 269, 4457, 19790, 976, 723, 5394, 267, 6109, 2960, 543, 513, 1279, 1560, 267, 1247, 5375, 5214, 19790, 976, 616, 1454, 4130, 538, 2450, 267, 899, 519, 24558, 27482, 19790, 976, 269, 1358, 616, 2356, 19122, 12725, 538, 4864, 543, 5181, 563, 347, 275, 269, 631, 24546, 630, 420, 488, 496, 31563, 994, 4415, 4627, 540, 8677, 267, 689, 20034, 13355, 5613, 547, 1346, 1454, 3677, 538, 2450, 899, 513, 1507, 5283, 517, 267, 27335, 568, 513, 12119, 4829, 602, 814, 1044, 1500, 2139, 782, 1032, 5180, 538, 7013, 3624, 269, 28611, 13881, 4195, 267, 621, 568, 835, 540, 519, 1034, 7678, 344, 267, 6484, 958, 3638, 4829, 585, 1585, 4457, 11951, 267, 1519, 12608, 9088, 267, 28916, 267, 10425, 543, 1256, 29902, 8286, 269, 4706, 1377, 540, 5567, 9775, 4470, 593, 27335, 8677, 267, 855, 789, 782, 2270, 1164, 2157, 540, 12498, 21307, 582, 2940, 602, 666, 948, 2087, 11315, 267, 1166, 21294, 2960, 543, 5818, 4761, 1062, 563, 347, 276, 269, 14465, 3570, 630, 421, 355, 503, 420, 499, 487, 994, 2026, 835, 540, 519, 9510, 16916, 10786, 17675, 21064, 267, 621, 568, 513, 4829, 5065, 547, 14913, 5607, 269, 898, 568, 849, 835, 540, 519, 4102, 4829, 3812, 11451, 609, 1082, 8677, 269, 634, 1034, 2442, 2010, 6738, 538, 15173, 15158, 1331, 968, 24456, 664, 19337, 5608, 968, 290, 822, 754, 880, 14465, 3570, 5608, 968, 299, 2426, 962, 320, 669, 26820, 5608, 968, 1320, 2967, 19337, 5608, 543, 968, 289, 17879, 19337, 9731, 1103, 4457, 2245, 267, 7233, 664, 14465, 3570, 568, 5156, 547, 723, 811, 4105, 1648, 543, 2640, 1813, 547, 922, 6632, 3959, 267, 4061, 621, 568, 513, 19463, 1826, 6738, 538, 1082, 14252, 540, 1715, 17197, 1559, 267, 15173, 15158, 269, 10871, 11396, 2356, 7556, 7233, 664, 20397, 950, 789, 616, 3039, 1063, 4873, 543, 5239, 563, 1103, 2489, 267, 20397, 1184, 513, 4411, 3959, 538, 4457, 4915, 602, 568, 1434, 585, 519, 7181, 269, 898, 2337, 3132, 1560, 12862, 267, 2569, 4835, 3002, 543, 5848, 523, 24026, 269, 6762, 538, 11379, 267, 20397, 666, 2226, 519, 1480, 1591, 3252, 543, 519, 1560, 779, 3679, 1532, 848, 3666, 267, 2087, 13487, 1599, 267, 2539, 1973, 2604, 543, 865, 6139, 519, 13285, 563, 347, 277, 269, 10370, 3832, 324, 630, 420, 491, 498, 22909, 507, 994, 30943, 547, 7013, 3624, 267, 621, 568, 513, 4832, 4829, 602, 568, 6738, 593, 28033, 4054, 609, 1100, 811, 982, 476, 1015, 332, 538, 4463, 269, 898, 568, 2356, 19122, 1063, 2904, 543, 5147, 269, 26597, 11430, 3832, 324, 28212, 616, 1336, 538, 519, 2871, 836, 323, 784, 11662, 269, 1358, 616, 1360, 6653, 609, 513, 27536, 9329, 543, 616, 1419, 3773, 538, 1082, 1114, 18397, 8286, 563, 1103, 2757, 4457, 4915, 267, 11430, 3832, 324, 568, 1634, 585, 922, 968, 17742, 892, 3959, 585, 4758, 4835, 3002, 267, 865, 835, 1058, 711, 8532, 713, 4829, 23494, 269, 898, 568, 15695, 711, 547, 8532, 811, 982, 476, 280, 4773, 3232, 269, 4706, 10347, 17642, 880, 4195, 17870, 666, 581, 1434, 585, 20993, 1648, 543, 5355, 1973, 10009, 269, 898, 666, 849, 948, 547, 7794, 519, 4761, 1062, 543, 2087, 838, 22220, 10638, 267, 799, 3123, 5312, 13165, 563, 347, 278, 269, 7043, 534, 630, 421, 378, 491, 419, 506, 376, 994, 30943, 547, 3624, 543, 3127, 267, 7043, 534, 9428, 538, 28033, 4054, 609, 6502, 909, 547, 476, 3199, 1107, 476, 1911, 1296, 2025, 269, 898, 568, 513, 2442, 4832, 4829, 538, 15173, 15158, 609, 18009, 2287, 5712, 538, 5147, 543, 4864, 269, 4107, 7043, 753, 538, 15173, 15158, 616, 16865, 543, 540, 513, 3099, 3957, 968, 293, 8500, 534, 892, 602, 568, 1804, 538, 4829, 2450, 267, 609, 1507, 6079, 543, 5394, 17870, 269, 769, 2199, 4584, 3917, 712, 268, 1144, 11396, 267, 835, 666, 849, 1265, 513, 3099, 602, 568, 1507, 538, 4829, 2450, 609, 2462, 5452, 269, 1452, 1507, 5214, 1279, 753, 616, 3812, 689, 2025, 4054, 609, 17870, 602, 568, 811, 23599, 543, 24253, 538, 6492, 563, 28074, 899, 519, 11430, 3832, 324, 267, 1279, 534, 568, 2219, 547, 2285, 4835, 968, 17742, 892, 543, 835, 1058, 711, 8532, 621, 23494, 269, 4340, 547, 4457, 4915, 267, 621, 666, 581, 1031, 547, 3986, 519, 2295, 543, 838, 22220, 267, 16138, 880, 519, 13285, 543, 7794, 519, 1560, 1310, 4576, 269, 898, 666, 849, 581, 1031, 585, 8156, 8411, 770, 1156, 807, 267, 7340, 6888, 267, 20026, 267, 2295, 27621, 14591, 267, 17350, 543, 2367, 16964, 698, 807, 563, 347, 279, 269, 10753, 638, 520, 630, 22909, 485, 23521, 371, 994, 23192, 689, 8828, 3624, 267, 621, 568, 2139, 1282, 3735, 5162, 610, 2038, 5614, 269, 898, 568, 4122, 10057, 4195, 610, 607, 25888, 267, 21297, 610, 1769, 21360, 269, 898, 568, 4922, 1634, 585, 922, 2702, 547, 844, 26067, 19818, 543, 865, 1054, 519, 11563, 267, 4061, 621, 568, 513, 2442, 12146, 585, 11522, 12772, 610, 21360, 269, 13268, 539, 609, 12498, 21307, 582, 2940, 267, 4731, 545, 3679, 267, 3632, 878, 3679, 267, 6171, 645, 272, 543, 6171, 595, 267, 3138, 638, 520, 814, 519, 2702, 547, 9004, 9854, 267, 2061, 897, 1091, 543, 3083, 1518, 2960, 269, 898, 666, 849, 948, 4894, 943, 5586, 332, 543, 14867, 11522, 338, 950, 11273, 607, 513, 17339, 267, 1927, 609, 4457, 30646, 543, 535, 761, 16736, 15620, 269, 6271, 2241, 8945, 568, 547, 3575, 621, 538, 3905, 1216, 609, 9932, 563, 347, 280, 269, 654, 600, 701, 324, 630, 421, 375, 481, 7461, 362, 994, 30943, 547, 7013, 3624, 267, 621, 568, 19497, 1634, 607, 968, 290, 5055, 639, 6511, 561, 753, 1756, 6100, 717, 3497, 538, 9244, 1085, 5034, 28033, 4054, 538, 1507, 18812, 6438, 13421, 267, 530, 600, 701, 324, 18009, 839, 1282, 4873, 543, 5147, 538, 1082, 15173, 15158, 2199, 11396, 269, 2060, 513, 30993, 5594, 1114, 1851, 519, 8677, 267, 922, 6653, 543, 11877, 17145, 568, 4122, 1031, 538, 4457, 4915, 269, 654, 600, 701, 324, 17870, 666, 948, 4894, 943, 5586, 332, 543, 3895, 12536, 267, 543, 666, 581, 25496, 585, 946, 538, 14304, 519, 7181, 269, 634, 3762, 267, 5072, 543, 5452, 540, 530, 600, 701, 324, 849, 723, 824, 16392, 2418, 267, 1818, 621, 513, 3810, 9833, 4829, 563, 347, 1015, 269, 4095, 979, 846, 9440, 630, 418, 366, 373, 13200, 502, 31878, 994, 13528, 28861, 1634, 607, 968, 303, 1506, 961, 13183, 639, 2377, 997, 320, 5608, 621, 9428, 538, 18812, 6438, 13421, 538, 28301, 4054, 609, 3529, 15627, 7363, 476, 272, 1107, 476, 274, 15432, 1164, 269, 634, 15708, 616, 827, 476, 272, 269, 276, 4699, 8006, 538, 2450, 543, 723, 1769, 3039, 880, 5835, 2681, 602, 7140, 2699, 950, 18009, 2989, 269, 2060, 513, 6653, 543, 11877, 1310, 339, 4292, 267, 789, 616, 7363, 13881, 4195, 610, 607, 2892, 1540, 610, 12873, 1106, 563, 1103, 2474, 540, 2757, 4457, 4915, 267, 4095, 979, 846, 9440, 568, 1634, 547, 723, 513, 4411, 3959, 585, 21757, 4835, 3002, 543, 17212, 1324, 15319, 11563, 269, 898, 666, 948, 5848, 523, 9641, 267, 3247, 11522, 338, 543, 1521, 3987, 269, 634, 3762, 540, 519, 4095, 979, 846, 9440, 616, 849, 1031, 607, 16392, 2126, 538, 17212, 1324, 14927, 1145, 267, 1019, 675, 6776, 3797, 267, 30046, 543, 26253, 269, 634, 3762, 616, 6394, 1282, 4832, 543, 2038, 2887, 1247, 519, 4829, 568, 19122, 1282, 15489, 543, 5162, 563, 296, 786, 6338, 811, 4829, 602, 568, 6738, 538, 15173, 15158, 267, 610, 538, 15231, 2127, 538, 519, 7013, 3624, 538, 2999, 320, 513, 284, 3269, 4947, 4930, 269, 0, 2704, 26891, 10824, 543, 6656, 27810, 616, 4646, 676, 8429, 11956, 1063, 20061, 896, 2604, 547, 1118, 621, 3476, 543, 25182, 538, 519, 4287, 538, 799, 621, 568, 6410, 269, 1325, 26891, 10824, 616, 835, 540, 519, 4909, 3029, 6964, 538, 4496, 2324, 2094, 789, 666, 581, 2759, 543, 18761, 883, 1585, 5546, 543, 7306, 269, 1325, 26891, 10824, 616, 2442, 1813, 547, 741, 1164, 8112, 267, 1942, 7145, 267, 543, 2647, 2039, 540, 3681, 269, 1325, 26891, 10824, 616, 4122, 2139, 538, 9344, 540, 476, 8099, 271, 6953, 1691, 267, 476, 31746, 273, 6953, 3953, 267, 476, 4968, 274, 6953, 1691, 267, 543, 476, 2568, 277, 272, 6874, 277, 269, 6103, 476, 4968, 274, 6953, 1691, 11956, 10824, 616, 6793, 543, 8246, 538, 13875, 10833, 267, 10178, 19059, 267, 13688, 267, 543, 19970, 1115, 269, 6103, 476, 31746, 273, 6953, 3953, 568, 519, 16999, 543, 6964, 538, 2604, 8043, 267, 543, 519, 5663, 540, 16669, 669, 817, 529, 1949, 269, 6684, 267, 3446, 476, 2568, 277, 272, 6874, 277, 568, 14809, 11259, 267, 3362, 28891, 2111, 543, 2178, 267, 855, 621, 19380, 930, 540, 922, 4222, 1247, 13841, 269, 901, 3446, 540, 11956, 6676, 568, 8246, 538, 2413, 8484, 3889, 269, 1325, 26891, 6676, 568, 2139, 585, 513, 2647, 2039, 540, 23212, 267, 476, 3583, 278, 276, 1373, 519, 1034, 4122, 1031, 18585, 269, 901, 18585, 568, 4122, 6964, 538, 23825, 543, 7286, 6080, 269, 1325, 26891, 6656, 27810, 616, 8246, 585, 513, 2647, 2039, 540, 3156, 269, 898, 568, 6964, 538, 14903, 4703, 538, 519, 16669, 5823, 1247 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

[ 1945, 811, 899, 968, 14585, 22046, 775, 540, 6101, 543, 11347, 2609, 538, 1148, 3034, 1103, 12416, 649, 2743, 609, 971, 8847, 607, 561, 758, 822, 337, 1777, 320, 12845, 4157, 541, 3570, 267, 968, 31742, 532, 519, 3350, 630, 528, 5106, 264, 540, 519, 1158, 2223, 543, 586, 334, 2048, 344, 600, 5260, 321, 6409, 334, 561, 758, 553, 5984, 2560, 28571, 344, 600, 621, 344, 705, 327, 573, 12011, 622, 267, 968, 6518, 1374, 919, 519, 17271, 2470, 540, 519, 1158, 31865, 610, 1586, 267, 1018, 568, 547, 581, 17820, 593, 519, 3942, 568, 1285, 553, 628, 3570, 267, 968, 1718, 1431, 892, 610, 968, 655, 10899, 3871, 2223, 610, 519, 5869, 267, 681, 4821, 267, 610, 519, 899, 267, 568, 2219, 540, 607, 519, 2203, 267, 606, 20915, 320, 269, 769, 3624, 267, 538, 519, 3791, 17374, 540, 670, 338, 773, 327, 14208, 267, 649, 723, 968, 6097, 547, 2470, 630, 342, 340, 267, 476, 14096, 6507, 264, 1118, 3337, 630, 26387, 532, 267, 476, 5379, 272, 278, 264, 27535, 543, 519, 1455, 2663, 8360, 554, 28410, 521, 24175, 267, 968, 4537, 1901, 3146, 5145, 28917, 2223, 538, 519, 1482, 1259, 4667, 547, 5581, 1148, 607, 606, 32649, 540, 7186, 269, 769, 3567, 267, 1530, 9564, 267, 519, 1390, 2278, 543, 10404, 540, 3143, 267, 31234, 602, 519, 6575, 540, 2575, 543, 15472, 2874, 7357, 538, 32649, 630, 3000, 558, 2033, 1916, 4913, 267, 952, 649, 15475, 602, 782, 713, 10522, 513, 17748, 540, 1148, 607, 1945, 5275, 922, 19870, 538, 519, 14282, 2009, 4485, 547, 21903, 649, 4927, 581, 7494, 19451, 269, 898, 786, 2408, 27057, 602, 649, 1058, 20093, 8449, 538, 1139, 3151, 602, 1306, 328, 1738, 1148, 4564, 606, 968, 728, 531, 892, 1158, 267, 513, 1158, 968, 728, 531, 1242, 892, 538, 519, 2442, 630, 338, 550, 14939, 267, 3909, 264, 2631, 540, 519, 1913, 267, 602, 568, 267, 3501, 539, 610, 1121, 1245, 539, 683, 13145, 547, 519, 2295, 779, 7287, 282, 799, 941, 621, 865, 1522, 581, 4330, 607, 513, 1025, 5684, 1335, 344, 1996, 519, 7198, 540, 17828, 15232, 267, 543, 513, 524, 2106, 673, 28595, 540, 1272, 3294, 269, 1284, 4927, 1265, 602, 1306, 328, 1738, 1148, 568, 4998, 538, 519, 6310, 2631, 282, 899, 7186, 630, 333, 520, 3120, 562, 4405, 753, 1070, 711, 538, 5920, 630, 341, 714, 269, 602, 540, 1671, 562, 4405, 1092, 1070, 855, 538, 5106, 563, 2005, 1058, 581, 7691, 602, 689, 519, 4095, 630, 5471, 7469, 9713, 264, 543, 7647, 2880, 2798, 540, 2070, 267, 16148, 543, 6662, 616, 711, 9048, 935, 4290, 762, 6688, 267, 835, 540, 799, 1590, 581, 9833, 607, 1483, 547, 519, 17181, 540, 519, 824, 269, 18712, 630, 25823, 5984, 264, 7449, 1235, 972, 1141, 519, 4111, 1043, 543, 24534, 2743, 538, 519, 1455, 9322, 540, 1373, 267, 543, 3112, 581, 2219, 540, 607, 4540, 538, 3294, 3544, 543, 6306, 689, 267, 855, 2864, 607, 267, 1702, 610, 5075, 267, 602, 568, 267, 1152, 538, 1249, 563, 5472, 713, 568, 849, 22466, 538, 519, 7647, 2880, 4214, 540, 5168, 607, 740, 2801, 638, 26559, 556, 328, 1696, 6457, 639, 267, 17127, 779, 3961, 540, 519, 9997, 609, 1018, 621, 6487, 267, 610, 2687, 547, 853, 7338, 267, 968, 32474, 2501, 827, 538, 865, 2484, 607, 519, 1843, 1634, 568, 1369, 519, 917, 518, 892, 630, 8999, 269, 634, 565, 1421, 594, 267, 1627, 269, 476, 6795, 267, 589, 269, 476, 273, 1070, 538, 9097, 27171, 547, 519, 17748, 540, 1702, 543, 1373, 607, 4830, 6411, 267, 799, 1448, 540, 2070, 568, 1152, 25401, 267, 543, 711, 5612, 267, 4570, 269, 25927, 908, 713, 689, 5626, 547, 24396, 2474, 267, 649, 1058, 2161, 711, 602, 2696, 814, 1702, 267, 855, 602, 11310, 630, 303, 675, 2271, 5878, 267, 16217, 329, 3534, 264, 568, 835, 540, 519, 4408, 540, 2696, 630, 15367, 568, 6986, 957, 5148, 610, 21042, 903, 1227, 267, 676, 606, 8446, 540, 9861, 630, 338, 520, 264, 609, 11106, 630, 31842, 1070, 607, 538, 519, 1134, 8153, 6677, 22760, 566, 5485, 2275, 527, 12845, 7701, 630, 3602, 621, 568, 13974, 22466, 602, 2648, 7449, 1235, 1152, 538, 519, 957, 540, 2648, 267, 711, 538, 519, 24158, 610, 11537, 855, 538, 5742, 563, 3086, 607, 547, 521, 7310, 1910, 320, 281, 21055, 10096, 616, 1623, 23724, 2225, 267, 598, 1606, 25630, 640, 282, 6281, 10096, 267, 11558, 267, 21658, 269, 2334, 12716, 521, 7310, 1910, 320, 1281, 711, 17538, 2067, 1143, 267, 2357, 529, 574, 559, 3363, 267, 14745, 267, 610, 21903, 538, 1022, 21603, 2631, 568, 18481, 3254, 676, 519, 1249, 602, 538, 4095, 8638, 540, 2188, 1898, 547, 7206, 621, 568, 3592, 2141, 5018, 609, 623, 1090, 3570, 267, 968, 322, 761, 19118, 540, 5168, 2223, 1934, 968, 728, 531, 8167, 31865, 538, 519, 4095, 6436, 540, 1702, 12170, 8343, 630, 7468, 520, 344, 6545, 320, 264, 607, 23478, 1152, 513, 1449, 267, 543, 711, 519, 1570, 540, 3069, 267, 568, 9833, 607, 519, 2547, 4570, 10838, 519, 1585, 533, 1090, 11446, 269, 623, 1090, 3570, 786, 581, 5941, 811, 4628, 2630, 282, 1934, 621, 786, 3411, 823, 547, 1448, 856, 602, 519, 3586, 7681, 540, 521, 7310, 1910, 320, 543, 623, 1090, 3570, 538, 8638, 540, 519, 30304, 538, 10367, 267, 585, 1383, 519, 14520, 7799, 2125, 267, 840, 11079, 938, 4758, 547, 2901, 2165, 513, 2495, 6366, 569, 17591, 532, 602, 540, 519, 824, 269, 26758, 1106, 543, 2067, 3337, 267, 4352, 3982, 538, 6240, 267, 941, 711, 22885, 607, 538, 5570, 839, 9092, 267, 855, 2864, 607, 14626, 1211, 538, 519, 1455, 9322, 540, 519, 3090, 563, 1103, 31898, 7595, 267, 521, 7310, 1910, 320, 568, 11609, 676, 519, 1383, 968, 763, 1762, 812, 568, 513, 17794, 892, 630, 289, 28496, 337, 2466, 571, 267, 2806, 327, 573, 3873, 8686, 337, 26152, 2173, 27074, 6390, 267, 533, 269, 1704, 267, 543, 4122, 20926, 11992, 5148, 543, 713, 21658, 1360, 1134, 9727, 1018, 568, 2731, 5921, 676, 12716, 968, 574, 2787, 6100, 23849, 889, 663, 16852, 267, 2806, 327, 573, 327, 1301, 752, 6242, 267, 26577, 267, 623, 748, 7562, 267, 26076, 269, 476, 18231, 267, 476, 27005, 267, 6941, 519, 6935, 540, 1702, 630, 341, 6359, 333, 3570, 264, 547, 922, 1843, 676, 6031, 602, 1702, 14340, 1152, 538, 519, 957, 540, 6616, 267, 676, 606, 7525, 21939, 630, 339, 611, 752, 541, 1092, 264, 547, 922, 1843, 267, 9444, 917, 518, 6862, 1634, 4540, 6306, 689, 519, 957, 540, 1702, 563, 763, 2470, 540, 519, 21939, 630, 339, 611, 752, 541, 1092, 264, 568, 11609, 676, 519, 521, 7310, 1910, 320, 540, 6079, 543, 4829, 267, 799, 568, 835, 540, 23483, 1757, 1275, 269, 634, 27526, 11535, 13305, 320, 2478, 11986, 4214, 540, 521, 7310, 1910, 320, 630, 638, 6838, 676, 30605, 2871, 24473, 267, 3778, 540, 4095, 13898, 267, 594, 267, 476, 28760, 264, 642, 714, 269, 512, 611, 321, 327, 4883, 520, 557, 2893, 328, 512, 611, 326, 1092, 1532, 327, 8500, 617, 9618, 2173, 822, 3430, 600, 267, 568, 12777, 968, 1492, 2783, 540, 8508, 538, 3294, 1919, 540, 513, 32032, 2470, 799, 616, 3982, 689, 3294, 2223, 610, 811, 13713, 519, 2783, 540, 968, 1211, 640, 538, 3017, 3034, 306, 7310, 1910, 320, 568, 1287, 968, 13678, 559, 3363, 2223, 855, 2864, 971, 607, 568, 22466, 676, 968, 13678, 850, 892, 982, 676, 968, 13678, 592, 659, 5300, 1848, 898, 568, 538, 1249, 6654, 602, 519, 6010, 8864, 1063, 4376, 543, 1022, 6041, 540, 621, 3112, 581, 513, 6010, 8864, 540, 2470, 267, 855, 1590, 581, 12746, 673, 610, 32055, 267, 610, 1312, 540, 891, 269, 1548, 519, 6041, 708, 527, 919, 568, 519, 2856, 610, 2249, 540, 519, 3364, 267, 676, 799, 621, 568, 1634, 6457, 1302, 267, 2864, 982, 519, 6219, 540, 519, 3364, 607, 621, 568, 9228, 676, 519, 12823, 563, 306, 7310, 1910, 320, 267, 968, 6665, 783, 19359, 2223, 814, 18562, 1044, 4122, 31495, 2181, 1540, 607, 2348, 547, 798, 609, 1079, 23079, 267, 602, 540, 519, 960, 540, 1148, 543, 602, 540, 519, 2203, 269, 898, 4016, 267, 2965, 267, 547, 513, 2298, 28025, 1582, 8410, 22633, 1369, 519, 960, 540, 1148, 3294, 267, 513, 19359, 540, 2790, 543, 2283, 1049, 2188, 538, 519, 960, 269, 901, 19359, 568, 8197, 26922, 547, 519, 19359, 540, 1268, 543, 6219, 538, 519, 3364, 547, 581, 968, 574, 18469, 31865, 855, 519, 1843, 543, 519, 960, 540, 1148, 616, 10446, 5462, 267, 1142, 547, 922, 1378, 1434, 267, 543, 9308, 538, 5570, 839, 9092, 267, 1373, 519, 1482, 1152, 607, 547, 1826, 563, 306, 7310, 1910, 320, 607, 519, 2666, 630, 335, 2784, 327, 3570, 264, 540, 7206, 949, 581, 3379, 547, 19300, 640, 320, 607, 519, 1560, 630, 306, 926, 571, 264, 540, 6965, 267, 9846, 3989, 607, 519, 968, 4621, 550, 540, 3280, 543, 2495, 892, 630, 338, 629, 323, 14390, 320, 1070, 543, 547, 32646, 1575, 5984, 267, 3954, 7627, 519, 2460, 783, 11558, 540, 1523, 543, 829, 1061, 1898, 547, 1702, 269, 22353, 267, 519, 10421, 540, 521, 7310, 1910, 320, 1281, 711, 8806, 711, 23868, 519, 6101, 3693, 538, 1148, 267, 855, 9797, 31234, 519, 13766, 540, 513, 6677, 867, 540, 3182, 3645, 543, 6101, 2609, 269, 634, 2898, 1448, 540, 2070, 13890, 1657, 568, 2907, 22466, 538, 519, 918, 9476, 527, 13403, 772, 3966, 529, 611, 267, 8633, 267, 476, 279, 267, 1141, 519, 2283, 1049, 543, 4111, 1043, 630, 845, 531, 264, 2609, 540, 5920, 616, 13747, 607, 536, 327, 25917, 2173, 21358, 543, 9299, 329, 3534, 2173, 21358, 267, 543, 621, 568, 7682, 539, 602, 968, 339, 745, 569, 267, 689, 2901, 4805, 267, 1100, 2460, 630, 745, 11985, 264, 31049, 1131, 581, 3812, 269, 0, 19617, 2730, 2025, 22251, 1185, 4843, 1148, 540, 3618, 2348, 1079, 9352, 6801, 734, 704, 4257, 11021, 602, 519, 606, 857, 757, 1185, 1634, 1945, 602, 649, 1810, 1405, 269, 1280, 3236, 267, 519, 1412, 309, 1195, 333, 747, 2494, 11245, 262, 630, 9610, 271, 781, 264, 1185, 11609, 513, 9352, 3141, 1062, 593, 1896, 540, 922, 3817, 269, 30180, 1524, 519, 15529, 8559, 609, 721, 593, 12423, 519, 2495, 540, 891, 1079, 10877, 269, 2353, 540, 938, 2835, 1101, 1459, 513, 9522, 540, 4396, 2963, 593, 519, 6450, 639, 4605, 13410, 543, 1287, 11884, 3801, 547, 796, 24160, 519, 2495, 540, 1346, 11580, 998, 930, 2864, 6264, 559, 13228, 550, 6436, 269, 12876, 9963, 267, 713, 1880, 15529, 8559, 4422, 1256, 4514, 982, 519, 1866, 563, 23763, 547, 1232, 1712, 519, 23876, 1412, 309, 1195, 333, 747, 2494, 11245, 262, 286, 901, 1433, 20205, 4267, 734, 663, 8591, 513, 2189, 8095, 593, 519, 12383, 540, 519, 1079, 10877, 269, 898, 568, 513, 1390, 4605, 2861, 23555, 5758, 7650, 540, 519, 2963, 540, 519, 8144, 540, 519, 23876, 1412, 309, 1195, 333, 747, 2494, 11245, 25692, 295, 611, 972, 1044, 6450, 639, 4605, 2262, 13410, 538, 519, 11247, 540, 519, 1412, 309, 1195, 333, 747, 2494, 11245, 262, 11021, 602, 938, 3141, 814, 513, 9352, 18618, 286, 4429, 7049, 516, 281, 3163, 1299, 4569, 20099, 281, 476, 276, 1240, 9664, 630, 1015, 267, 6872, 274, 22995, 264, 700, 2056, 281, 3502, 2037, 12574, 1520, 4765, 281, 4119, 476, 276, 628, 267, 476, 1708, 271, 454, 1607, 1433, 26564, 519, 2164, 540, 476, 274, 1296, 540, 6694, 543, 26216, 10411, 10614, 3646, 543, 4294, 1382, 5342, 2047, 538, 519, 4299, 2127, 540, 30738, 2313, 9874, 1739, 519, 4279, 5101, 3567, 32495, 820, 269, 898, 6257, 3728, 543, 2500, 25954, 2409, 543, 4066, 689, 23329, 543, 5982, 14796, 267, 7152, 998, 519, 10319, 3646, 540, 3173, 267, 1053, 267, 2199, 6705, 267, 4104, 5411, 267, 543, 25772, 10356, 896, 519, 19519, 2160, 540, 11982, 5101, 3567, 26859, 5741, 269, 3117, 12371, 540, 2185, 2694, 267, 519, 1101, 851, 540, 519, 1433, 2488, 606, 7650, 540, 519, 3441, 543, 3800, 3144, 547, 7753, 873, 676, 519, 2199, 25772, 543, 519, 19519, 2160, 540, 11982, 269, 634, 2034, 851, 6799, 1239, 543, 2164, 540, 6694, 6051, 689, 519, 23329, 4534, 585, 1383, 267, 5464, 1949, 267, 16646, 3631, 267, 543, 10375, 267, 1970, 21057, 2409, 2919, 585, 519, 11808, 540, 23329, 1673, 600, 3042, 533, 23098, 4610, 269, 634, 3791, 851, 6212, 593, 6051, 689, 4429, 7049, 516, 281, 3163, 1299, 4569 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

[ 563, 2252, 513, 1268, 568, 2469, 585, 1022, 14691, 2022, 610, 513, 5816, 1287, 789, 1522, 723, 8068, 875, 27723, 519, 5752, 1893, 814, 6738, 1369, 519, 2250, 1906, 1296, 563, 12988, 538, 476, 1001, 277, 9226, 814, 8719, 808, 16787, 288, 538, 1169, 1153, 543, 12621, 543, 602, 779, 1141, 519, 4473, 540, 9226, 3576, 1747, 563, 3719, 782, 649, 782, 917, 952, 972, 616, 5294, 972, 786, 581, 931, 849, 269, 3767, 596, 1590, 581, 3206, 1946, 782, 540, 513, 6727, 9226, 18965, 538, 971, 513, 4028, 1259, 269, 4208, 711, 595, 10030, 1946, 711, 808, 16787, 288, 7097, 3009, 888, 23911, 568, 513, 26460, 585, 1346, 945, 616, 1007, 547, 519, 8193, 1158, 269, 898, 3947, 596, 519, 2702, 547, 11716, 519, 24631, 1919, 2864, 1445, 593, 519, 3730, 543, 3078, 1919, 563, 2690, 3236, 5124, 814, 519, 2702, 547, 2196, 2789, 3292, 1510, 4657, 1022, 3344, 7429, 824, 5752, 4654, 269, 4270, 267, 952, 596, 616, 513, 808, 16787, 288, 17354, 1287, 596, 666, 2285, 519, 10872, 513, 9240, 990, 344, 9403, 563, 3719, 9367, 798, 711, 2141, 4782, 9240, 990, 1465, 269, 5124, 3091, 596, 2647, 3914, 538, 29026, 267, 8021, 267, 5943, 543, 11890, 899, 4578, 2257, 267, 3684, 1565, 543, 1357, 1646, 563, 3963, 1058, 596, 979, 585, 9226, 538, 476, 1708, 272, 888, 2252, 596, 616, 8348, 547, 1451, 9226, 855, 711, 2386, 1946, 596, 1616, 547, 979, 585, 621, 267, 1287, 1934, 616, 2947, 12006, 4128, 540, 1946, 596, 1058, 581, 2469, 585, 9226, 538, 476, 1708, 272, 269, 13298, 2469, 585, 1022, 824, 5752, 4654, 899, 808, 16787, 288, 610, 595, 10030, 563, 300, 22389, 4804, 814, 6738, 6385, 538, 519, 2063, 7008, 540, 1296, 269, 898, 568, 4657, 3388, 649, 1294, 1472, 721, 563, 2704, 326, 3596, 916, 616, 4742, 10427, 1554, 676, 1554, 269, 634, 1655, 1383, 540, 3684, 1565, 568, 24440, 3406, 5690, 563, 11386, 3406, 5690, 1775, 529, 4543, 1142, 540, 721, 676, 3246, 721, 519, 4890, 1267, 585, 1018, 649, 616, 24584, 269, 3502, 1152, 713, 267, 621, 849, 814, 513, 10004, 4216, 547, 3391, 721, 607, 1134, 267, 538, 2013, 649, 3068, 1022, 4990, 540, 2152, 610, 7965, 563, 1607, 5690, 568, 5039, 531, 950, 621, 2501, 547, 3684, 1565, 1893, 269, 5124, 2306, 713, 1184, 1454, 4443, 563, 11039, 267, 1498, 972, 616, 1082, 3684, 1565, 8021, 2139, 538, 28162, 269, 1809, 596, 786, 1265, 811, 1543, 538, 9226, 563, 6546, 779, 1946, 476, 280, 856, 540, 476, 1015, 9367, 4782, 9226, 950, 621, 2501, 547, 4578, 2257, 610, 10724, 1565, 563, 763, 1434, 2025, 1646, 568, 1776, 2601, 1946, 513, 1268, 1058, 979, 585, 9226, 269, 898, 3091, 513, 2647, 2039, 540, 8021, 543, 10850, 899, 30622, 24546, 543, 4469, 2532, 799, 2306, 1357, 1646, 811, 4443, 543, 6899, 563, 763, 4305, 267, 799, 3217, 3108, 538, 23285, 267, 1175, 3217, 513, 1906, 3764, 609, 5124, 269, 898, 568, 849, 1031, 538, 513, 2603, 540, 1357, 16150, 532, 563, 5278, 540, 519, 2442, 7270, 616, 968, 16446, 9016, 892, 519, 3003, 5752, 540, 23749, 814, 1044, 2944, 1210, 5124, 563, 10574, 2257, 568, 835, 540, 519, 1292, 4128, 1946, 782, 519, 23501, 616, 1565, 9226, 269, 2776, 16227, 9226, 729, 1031, 585, 2679, 3156, 543, 585, 1603, 20072, 585, 12957, 563, 3719, 1631, 9226, 814, 10575, 26661, 519, 2898, 1007, 7678, 540, 4578, 3163, 269, 5358, 11302, 610, 519, 4578, 3163, 1004, 4782, 9226, 936, 1022, 824, 1893, 269, 5124, 16134, 267, 1390, 2146, 543, 7207, 547, 5173, 5458, 2338, 540, 9273, 267, 2306, 621, 513, 6325, 2707, 563, 5278, 540, 519, 4583, 9226, 543, 5943, 799, 616, 2442, 538, 1239, 2257, 4610, 616, 2433, 8894, 268, 17455, 553, 799, 568, 1031, 585, 1239, 2079, 454, 268, 715, 17056, 799, 568, 1031, 585, 6613, 20143, 543, 3621, 9273, 563, 268, 32287, 543, 1530, 629, 1941, 799, 568, 1031, 585, 4578, 10439, 1436, 563, 268, 2233, 18145, 2443, 6258, 799, 568, 10724, 4804, 5678, 454, 268, 32150, 6503, 543, 918, 10327, 799, 568, 1031, 585, 3684, 543, 2620, 1565, 563, 763, 2165, 14464, 11106, 610, 3642, 19752, 519, 2104, 540, 519, 4947, 5736, 563, 4467, 1584, 619, 543, 26682, 616, 1031, 547, 5173, 5230, 9273, 693, 513, 1025, 5074, 3432, 269, 1809, 1631, 2462, 14540, 2073, 13318, 13699, 543, 3173, 616, 4058, 547, 1711, 606, 10995, 3684, 799, 786, 1685, 4247, 899, 3425, 798, 563, 1103, 519, 1279, 2196, 6191, 786, 581, 5827, 2614, 547, 1174, 3425, 685, 8186, 543, 4664, 543, 741, 4654, 607, 1134, 269, 1635, 1210, 9226, 267, 23501, 666, 798, 782, 891, 8631, 799, 941, 711, 2009, 1354, 563, 5278, 540, 519, 9226, 8021, 799, 616, 1031, 547, 1628, 5841, 4987, 616, 281, 8894, 268, 715, 299, 307, 298, 2443, 7849, 1893, 32367, 585, 7849, 1893, 4393, 563, 268, 7046, 4211, 309, 2443, 7046, 2707, 8950, 5075, 5399, 563, 268, 918, 10327, 2443, 12213, 4804, 7732, 563, 268, 9786, 15465, 15484, 2443, 14173, 2443, 12213, 1565, 5943, 563, 23911, 2306, 519, 1272, 540, 513, 27732, 4443, 676, 3678, 908, 22696, 6137, 513, 3896, 269, 898, 666, 581, 1031, 547, 2445, 1239, 267, 12957, 540, 1449, 2665, 538, 3301, 1646, 2127, 267, 543, 2870, 13128, 27217, 5604, 4247, 563, 23911, 814, 519, 2702, 547, 1224, 610, 547, 1205, 1569, 547, 782, 519, 6119, 543, 32766, 799, 17990, 513, 2603, 540, 2053, 585, 519, 23501, 610, 519, 9367, 689, 3257, 16625, 960, 563, 763, 2186, 540, 5399, 610, 519, 5943, 1031, 538, 28290, 616, 281, 8894, 268, 31584, 17563, 454, 268, 17286, 22431, 5124, 563, 17798, 267, 676, 2469, 547, 519, 2798, 649, 666, 3362, 1205, 513, 2312, 2070, 602, 9226, 568, 1454, 811, 6325, 543, 3608, 585, 519, 23501, 538, 519, 1279, 2196, 563, 1692, 596, 666, 1451, 5124, 454, 2467, 616, 3670, 2081, 676, 799, 596, 666, 1451, 9226, 563, 268, 16237, 6533, 519, 9238, 2443, 898, 782, 6238, 609, 519, 9238, 513, 1268, 610, 513, 27732, 1058, 1451, 543, 1174, 519, 2035, 543, 519, 2474, 540, 519, 5752, 1893, 1354, 519, 3593, 4422, 585, 1565, 563, 268, 9457, 519, 8629, 2443, 18112, 5034, 14691, 2443, 8629, 2443, 18112, 5034, 5752, 568, 513, 1259, 540, 6061, 782, 2042, 676, 3206, 827, 519, 1483, 1158, 2152, 538, 519, 1106, 540, 3615, 543, 5049, 563, 268, 6258, 3375, 1818, 543, 1852, 2095, 2443, 2991, 596, 616, 2944, 609, 519, 9238, 519, 27732, 1058, 979, 585, 519, 3375, 1818, 538, 5752, 1893, 563, 268, 6657, 14691, 2443, 1677, 1118, 3054, 513, 1434, 27732, 596, 991, 547, 2285, 3054, 519, 3003, 1554, 6061, 1114, 6688, 540, 2042, 269, 1924, 267, 547, 581, 513, 1434, 27732, 2259, 568, 16601, 563, 268, 12861, 707, 1378, 1357, 813, 676, 1210, 5943, 2443, 769, 971, 513, 14691, 1604, 267, 519, 1982, 585, 7746, 2427, 568, 1031, 538, 9226, 563, 268, 15775, 3054, 547, 960, 593, 5124, 3785, 2443, 589, 5358, 1067, 1058, 979, 585, 519, 9226, 3785, 543, 1628, 741, 1378, 2093, 269, 898, 786, 5818, 519, 1268, 607, 1134, 547, 1628, 519, 4876, 540, 519, 1268, 543, 1118, 519, 1268, 513, 1434, 5358, 1067, 563, 1103, 4653, 779, 942, 972, 568, 513, 5318, 2208, 538, 9226, 5752, 1893, 538, 1169, 5823, 543, 538, 1169, 2872, 269, 1924, 7446, 971, 14691, 1893, 786, 9090, 948, 596, 1831, 513, 1434, 27732, 563, 28775, 713, 2376, 814, 5818, 539, 513, 2370, 3787, 540, 707, 1702, 827, 9226, 269, 1403, 596, 1616, 547, 1224, 811, 827, 3642, 267, 1224, 938, 2376, 827, 3096, 540, 513, 328, 538, 6080, 563, 9596, 5124, 689, 2872, 7721, 704, 1206, 269, 3643, 1934, 2433, 5680, 20142, 1571, 0, 16675, 8111, 16639, 971, 607, 9454, 592, 2088, 267, 932, 331, 648, 12848, 267, 543, 9791, 8566, 2240, 13641, 2801, 782, 2270, 28060, 267, 3940, 267, 6171, 645, 268, 1321, 267, 1898, 9761, 3679, 717, 6369, 267, 10250, 6886, 543, 824, 5567, 538, 513, 1106, 602, 568, 3362, 15849, 23624, 676, 519, 1480, 1560, 269, 5682, 18274, 269, 898, 2337, 547, 1625, 1518, 519, 6797, 543, 9004, 13802, 689, 1426, 21187, 267, 13851, 267, 18168, 267, 543, 5061, 269, 898, 568, 849, 5363, 538, 9427, 5230, 8407, 689, 519, 1560, 269, 769, 2474, 540, 3935, 1072, 267, 28060, 568, 513, 2067, 1884, 1047, 10364, 547, 519, 15499, 8778, 269, 898, 2337, 3247, 519, 2208, 543, 1646, 540, 6757, 4551, 538, 519, 3935, 543, 2429, 519, 1560, 269, 25914, 19780, 17212, 1407, 19228, 676, 5009, 2962, 538, 519, 6091, 540, 519, 3935, 6821, 269, 898, 849, 2337, 25580, 8697, 3935, 5160, 543, 9004, 22024, 19221, 689, 16789, 2732, 269, 769, 31911, 267, 3039, 2706, 3536, 723, 5280, 10038, 1973, 4006, 543, 8488, 18965, 1646, 540, 9025, 2068, 676, 4227, 519, 18687, 540, 25928, 8501, 547, 16617, 269, 901, 568, 1713, 2094, 621, 568, 519, 12444, 1242, 8501, 602, 804, 9233, 938, 16209, 269, 9454, 592, 2088, 543, 9791, 8566, 2240, 13641, 2801, 723, 1279, 1044, 1031, 547, 2333, 1648, 267, 1521, 2860, 543, 5312, 9854, 267, 543, 3622, 12954, 519, 4761, 1062, 269, 1703, 779, 2614, 1719, 538, 2890, 14607, 2801, 602, 25710, 32214, 267, 27179, 267, 543, 6375, 739, 574, 17419, 21555, 689, 519, 2706, 3039, 3536, 723, 1044, 9678, 543, 31601, 269, 769, 1896, 1382, 2090, 267, 9454, 592, 2088, 814, 1044, 3254, 547, 6175, 27831, 1938, 543, 8501, 269, 589, 1880, 9454, 592, 2088, 30713, 21839, 728, 814, 1044, 3254, 547, 948, 1832, 16209, 2973, 676, 7303, 519, 2208, 540, 10077, 5160, 543, 30034, 519, 1973, 269, 769, 513, 1353, 689, 519, 6481, 5441, 540, 9098, 267, 932, 331, 648, 12848, 729, 13950, 547, 513, 1895, 540, 1164, 1973, 12503, 2550, 609, 1100, 824, 4915, 269, 11778, 4951, 602, 932, 331, 648, 12848, 22485, 1973, 2604, 547, 3339, 2157, 585, 476, 1839, 260, 540, 519, 1895, 269, 11524, 4810, 930, 6175, 543, 9039, 540, 519, 2550, 1185, 606, 2333, 538, 1973, 2604, 607, 1131, 581, 4397, 952, 932, 331, 648, 12848, 3177, 1100, 4324, 269, 9454, 592, 2088, 267, 932, 331, 648, 12848, 267, 9791, 5682, 13641, 2801, 543, 824, 3039, 15988, 797, 338, 616, 2139, 693, 1072, 1426, 8637, 269, 20152, 20736, 560, 568, 513, 28571, 1755, 12949, 545, 4387, 945, 22595, 634, 5682, 5600, 267, 513, 6171, 267, 10786, 543, 1072, 1426, 4558, 538, 28224, 267, 7147, 269, 0, 289, 992, 731, 6019, 7256, 570, 4669, 956, 454, 5353, 320, 16015, 616, 7286, 20641, 602, 723, 1044, 1472, 2094, 519, 942, 540, 519, 17878, 267, 936, 476, 8099, 2929, 1296, 3516, 269, 4653, 267, 972, 616, 5722, 2249, 540, 4262, 16015, 5001, 543, 519, 2947, 2249, 1336, 538, 8419, 616, 6870, 676, 5313, 1876, 269, 645, 992, 731, 6019, 14014, 4262, 16015, 676, 5885, 3646, 547, 18359, 741, 21224, 543, 538, 21226, 9249, 563, 289, 992, 731, 6019, 814, 476, 2918, 5195, 540, 23795, 267, 476, 2190, 5195, 540, 799, 616, 16913, 585, 14854, 21224, 2534, 676, 519, 645, 992, 731, 6019, 7256, 25725, 11094, 5358, 630, 6195, 4306, 9573, 1040, 645, 992, 731, 6019, 568, 2808, 513, 968, 4364, 1756, 29213, 892, 21224, 1858, 676, 519, 8419, 12551, 543, 13812, 11094, 8189, 543, 14747, 606, 3328, 540, 476, 273, 267, 1822, 20097, 12422, 563, 6195, 4306, 9573, 7351, 715, 20535, 570, 582, 1023, 454, 265, 2026, 540, 476, 275, 270, 1789, 270, 2641, 269, 715, 20535, 9103, 1023, 2992, 476, 2190, 5195, 540, 645, 992, 731, 6019, 779, 23795, 267, 27195, 519, 3220, 269, 966, 517, 667, 269, 631, 714, 749, 7232, 3121, 9652, 3557, 5244, 267, 543, 616, 519, 1034, 2487, 2338, 4080, 676, 519, 7460, 4306, 9573, 269, 4578, 616, 16861, 269, 0, 31807, 523, 657, 589, 2231, 30609, 819, 267, 18335, 910, 476, 1789, 7325, 476, 6245, 271, 454, 11900, 18675, 267, 538, 1018, 568, 1631, 519, 14861, 710, 6243, 267, 7389, 11360, 547, 519, 561, 277, 628, 11416, 267, 950, 1325, 12534, 715, 2317, 345, 519, 5053, 17135, 729, 1244, 2216, 23690, 519, 13794, 540, 6742, 710, 345, 594, 1537, 320, 267, 543, 2663, 25855, 547, 8050, 607, 513, 26956, 269, 4595, 713, 2038, 4266, 1082, 26201, 723, 3144, 1747, 585, 519, 1852, 540, 519, 2229, 563, 1103, 5147, 476, 6245, 271, 1869, 1776, 4838, 729, 538, 3356, 538, 519, 11662, 540, 11370, 523, 4141, 15718, 637, 267, 543, 513, 1507, 1033, 16670, 540, 3057, 1149, 729, 15354, 585, 519, 4027, 540, 519, 1977, 3117 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

[ 7495, 14510, 267, 10902, 269, 23985, 3730, 610, 3407, 269, 1496, 5228, 476, 1428, 628, 524, 24358, 4596, 12613, 7495, 14510, 267, 10902, 269, 630, 984, 26207, 264, 8682, 29027, 282, 2123, 13418, 610, 5413, 269, 1496, 1626, 628, 268, 866, 628, 524, 24358, 4596, 12613, 7495, 14510, 267, 10902, 269, 630, 31754, 264, 21984, 2326, 267, 6694, 543, 824, 3119, 2472, 607, 3615, 540, 1804, 8397, 9467, 538, 7463, 15377, 563, 4596, 12613, 7495, 14510, 267, 10902, 269, 630, 5658, 7566, 264, 25613, 27075, 7007, 5370, 6353, 676, 513, 1970, 7443, 14345, 267, 607, 13747, 689, 6216, 539, 2472, 563, 4596, 12613, 7495, 14510, 267, 10902, 269, 630, 11321, 343, 1143, 264, 32506, 799, 814, 1312, 513, 946, 17032, 543, 606, 5385, 17032, 563, 4596, 12613, 7495, 14510, 12327, 6224, 3198, 12283, 267, 10902, 269, 630, 325, 12099, 264, 630, 698, 3472, 675, 264, 1323, 3919, 5665, 896, 513, 1305, 540, 676, 331, 9155, 6322, 693, 5009, 4123, 538, 835, 610, 811, 21113, 676, 3246, 2533, 543, 3652, 585, 519, 2932, 540, 4123, 563, 4596, 12613, 7495, 14510, 12327, 6224, 20315, 2464, 267, 10902, 269, 1773, 1116, 540, 20161, 5385, 454, 4596, 12613, 7495, 14510, 27107, 298, 4953, 267, 10902, 269, 589, 2344, 1141, 6151, 610, 3119, 2472, 616, 22121, 563, 4596, 12613, 7495, 14510, 19294, 2969, 267, 10902, 269, 29133, 602, 568, 3812, 543, 7856, 593, 606, 4853, 4336, 267, 543, 666, 581, 11751, 543, 4421, 593, 519, 20161, 6990, 454, 4596, 12613, 7495, 14510, 19294, 2969, 267, 10902, 269, 630, 4785, 264, 630, 13768, 264, 29133, 7856, 998, 519, 22340, 20161, 1426, 3892, 1982, 454, 4596, 12613, 7495, 14510, 267, 10902, 269, 15080, 540, 16450, 563, 24552, 616, 2141, 3478, 6671, 1242, 547, 930, 6281, 2495, 269, 898, 568, 835, 540, 519, 1568, 540, 6965, 547, 1491, 519, 1854, 1218, 538, 26692, 543, 3142, 873, 1394, 547, 741, 1318, 12823, 269, 0, 310, 4292, 1299, 1234, 7094, 539, 10049, 538, 22493, 5303, 454, 280, 270, 1724, 270, 1001, 275, 5788, 22493, 27822, 282, 11957, 1299, 6396, 540, 9657, 282, 1234, 7094, 539, 2326, 689, 6405, 3653, 269, 26402, 540, 1635, 1790, 20094, 538, 22493, 5303, 269, 23113, 1500, 540, 13381, 2326, 269, 31875, 538, 519, 946, 540, 1234, 7094, 539, 10049, 563, 3725, 7094, 539, 4070, 543, 23542, 819, 6405, 3653, 607, 14919, 454, 1704, 2904, 476, 1001, 280, 3267, 3267, 23542, 819, 3653, 630, 7374, 310, 264, 9424, 4929, 606, 8801, 1198, 593, 519, 1604, 269, 634, 946, 540, 971, 3653, 607, 13381, 14919, 538, 6405, 2483, 14457, 264, 634, 13139, 1436, 540, 1234, 7094, 539, 10049, 585, 22493, 543, 454, 22261, 476, 2764, 267, 476, 1001, 279, 2443, 1234, 7094, 539, 2326, 971, 607, 13381, 6405, 14919, 610, 13381, 15839, 14919, 689, 4070, 543, 23542, 819, 3653, 267, 3653, 4837, 689, 4429, 516, 7094, 539, 6405, 13445, 454, 3725, 7094, 539, 22493, 269, 9502, 281, 2182, 2989, 6405, 602, 814, 1044, 9268, 585, 19074, 267, 2356, 607, 14919, 11607, 589, 5746, 22493, 12910, 11659, 269, 634, 2601, 585, 9657, 568, 519, 5786, 540, 3653, 538, 1931, 547, 2149, 2470, 1996, 5533, 267, 519, 2810, 17732, 540, 5078, 546, 18804, 12406, 267, 543, 547, 4688, 1648, 543, 2067, 2200, 563, 763, 476, 30329, 593, 1234, 7094, 539, 22493, 281, 21964, 267, 11588, 267, 543, 1215, 1677, 1923, 744, 4506, 320, 454, 3519, 4740, 3653, 3217, 909, 513, 1713, 6712, 540, 26071, 267, 543, 1082, 3112, 13918, 922, 2450, 543, 4320, 269, 27822, 8952, 891, 2326, 856, 540, 519, 25087, 4429, 303, 18166, 5682, 22493, 676, 4635, 1234, 7094, 539, 10049, 538, 32329, 454, 15037, 476, 1321, 267, 476, 1708, 271, 2443, 769, 713, 1353, 267, 10682, 540, 9160, 543, 519, 2067, 27960, 1031, 538, 6405, 676, 1234, 7094, 539, 3213, 12838, 20548, 26021, 630, 305, 7563, 264, 543, 595, 10984, 545, 17904, 4429, 14457, 264, 2422, 540, 3653, 2326, 538, 6405, 281, 589, 2689, 454, 7712, 6405, 568, 835, 540, 519, 1655, 2081, 547, 1491, 538, 3653, 2326, 267, 952, 602, 814, 1100, 1713, 2942, 2360, 593, 6405, 3601, 267, 621, 568, 606, 3608, 2268, 547, 3914, 513, 4264, 1646, 4429, 3725, 7094, 539, 17904, 10049, 538, 22493, 14716, 281, 24021, 454, 3725, 7094, 539, 17904, 10049, 538, 22493, 14716, 281, 24021, 3194, 543, 19662, 281, 476, 7818, 13923, 28670, 23283, 278, 281, 3163, 1299, 7177, 7734, 563, 3918, 290, 312, 12710, 5058, 5508, 654, 3008, 15288, 12164, 290, 3918, 15288, 910, 634, 20472, 528, 454, 3725, 19464, 540, 3653, 6405, 568, 2944, 547, 19074, 519, 6405, 6299, 1076, 607, 27960, 538, 3267, 4635, 13381, 1570, 607, 18574, 6971, 519, 991, 585, 18574, 5599, 563, 300, 3951, 1053, 6830, 1518, 6405, 676, 4946, 13381, 5068, 1923, 20037, 5240, 454, 1839, 4239, 476, 1001, 278, 3267, 20037, 1053, 723, 2919, 513, 1106, 540, 6405, 1210, 13381, 5068, 1216, 14569, 269, 634, 1007, 1570, 568, 476, 736, 2600, 6793, 982, 2757, 6405, 543, 3267, 901, 814, 519, 1761, 547, 7485, 5068, 25087, 3653, 856, 540, 519, 25087, 4429, 1492, 2422, 540, 1234, 7094, 539, 10049, 538, 29844, 543, 23113, 910, 681, 11223, 300, 454, 17746, 2315, 543, 5915, 565, 819, 17904, 281, 1234, 7094, 539, 20548, 2958, 919, 2608, 4937, 13979, 3267, 27822, 17904, 538, 24533, 9122, 10049, 281, 513, 24356, 6396, 8191, 4433, 2567, 7261, 337, 4429, 1952, 997, 566, 540, 3653, 13381, 1570, 538, 6405, 454, 516, 13094, 28372, 543, 13381, 6405, 14919, 269, 634, 27391, 531, 3653, 5823, 3568, 6225, 2326, 585, 519, 4070, 2872, 1519, 32072, 4429, 8196, 540, 1234, 7094, 539, 543, 17904, 10049, 538, 24533, 22493, 454, 8196, 540, 1234, 7094, 539, 543, 17904, 10049, 538, 24533, 22493, 609, 3487, 658, 1234, 10293, 540, 20548, 26021, 543, 24533, 910, 2854, 676, 623, 1177, 534, 19300, 340, 2073, 31670, 592, 918, 8457, 329, 807, 2073, 1325, 758, 681, 541, 582, 31843, 3370, 593, 476, 1001, 280, 270, 6021, 270, 6349, 4647, 2407, 2376, 609, 4704, 1239, 543, 14327, 454, 763, 13345, 540, 10357, 7888, 13381, 8869, 689, 454, 3725, 7094, 539, 8869, 630, 14641, 264, 568, 519, 1292, 676, 1790, 6055, 538, 519, 556, 17474, 540, 4070, 543, 23542, 819, 630, 290, 22936, 264, 3653, 269, 589, 1560, 540, 3332, 593, 519, 946, 540, 681, 303, 607, 24045, 9160, 25875, 2326, 630, 306, 13967, 338, 264, 538, 6405, 568, 4867, 2139, 267, 6466, 513, 2143, 2689, 593, 519, 3601, 540, 681, 303, 6405, 814, 1044, 15877, 2394, 1631, 563, 17843, 18467, 547, 2422, 1234, 7094, 539, 22493, 1923, 5851, 20929, 1923, 24700, 19835, 454, 17843, 18467, 547, 2422, 1234, 7094, 539, 22493, 269, 14716, 543, 23542, 819, 3785, 666, 1711, 1804, 9424, 540, 3653, 2679, 2326, 267, 799, 1419, 1439, 909, 538, 519, 25087, 269, 13518, 540, 713, 1570, 666, 3267, 0, 1432, 568, 519, 1651, 28271, 540, 4906, 888, 18823, 28271, 2073, 3844, 4168, 14985, 602, 2696, 2968, 17145, 267, 602, 2696, 10924, 513, 1480, 2470, 543, 2968, 513, 812, 538, 519, 1106, 540, 4906, 2441, 2073, 519, 12312, 540, 2696, 543, 519, 2034, 1268, 540, 519, 27076, 269, 2441, 729, 5963, 2696, 543, 5963, 812, 563, 1432, 1281, 5549, 28271, 1611, 538, 4984, 888, 763, 1651, 28271, 568, 519, 4168, 3661, 602, 2696, 3576, 1480, 1106, 676, 4742, 4906, 269, 5549, 28271, 12777, 1797, 2048, 1729, 1491, 593, 17145, 17483, 1432, 568, 519, 7826, 5939, 2070, 593, 556, 4532, 28271, 888, 763, 7826, 5783, 1281, 711, 3494, 538, 556, 4532, 28271, 2073, 799, 621, 14621, 607, 1373, 22424, 26702, 609, 2669, 269, 16480, 267, 519, 3401, 540, 1978, 3392, 338, 538, 519, 5939, 723, 6026, 602, 789, 616, 556, 4532, 7568, 725, 540, 6307, 1107, 585, 1383, 267, 21322, 6261, 879, 548, 717, 580, 340, 27056, 540, 519, 8136, 540, 6307, 543, 12756, 14731, 345, 6390, 540, 519, 5449, 12756, 341, 2572, 563, 1432, 616, 519, 476, 275, 4128, 585, 1651, 28271, 888, 24404, 916, 538, 713, 1305, 630, 476, 275, 3738, 2601, 476, 272, 269, 547, 4688, 721, 676, 11028, 4290, 532, 721, 609, 2696, 269, 2601, 476, 273, 269, 547, 7866, 2696, 779, 2648, 547, 721, 269, 2601, 476, 274, 269, 547, 1397, 721, 513, 3501, 2203, 540, 2868, 1465, 269, 2601, 476, 275, 1547, 547, 1118, 721, 968, 4820, 5474, 540, 519, 10143, 2470, 892, 263, 273, 8834, 476, 272, 281, 476, 275, 3738, 268, 514, 824, 1913, 547, 968, 15965, 514, 1125, 892, 721, 563, 1432, 1281, 519, 6426, 3081, 827, 1651, 28271, 888, 11243, 569, 602, 2441, 729, 12777, 1312, 2048, 306, 517, 540, 2494, 685, 689, 1010, 14774, 2427, 267, 543, 849, 12777, 2048, 306, 517, 540, 2696, 2048, 593, 1010, 533, 11189, 2427, 269, 634, 1523, 540, 519, 1651, 28271, 2443, 892, 1492, 6478, 2968, 17145, 543, 546, 342, 3881, 1851, 721, 892, 1765, 729, 6956, 607, 519, 21055, 2262, 610, 27291, 540, 623, 338, 269, 476, 3451, 281, 277, 2348, 1044, 1500, 1480, 676, 513, 20424, 4332, 563, 1432, 1554, 568, 4906, 14512, 888, 3674, 4906, 5963, 519, 12312, 540, 2696, 888, 13731, 4906, 2073, 519, 12312, 540, 2696, 2073, 568, 2696, 543, 2494, 281, 2696, 1354, 782, 10600, 267, 812, 538, 938, 1158, 269, 1809, 2094, 646, 568, 519, 1152, 12312, 540, 2696, 2073, 676, 2470, 543, 711, 676, 11419, 267, 646, 2968, 849, 519, 12312, 540, 2494, 602, 646, 1522, 581, 2407, 540, 11419, 607, 1134, 563, 3963, 1705, 4906, 723, 547, 5884, 547, 4688, 721, 888, 2690, 873, 519, 2669, 540, 4906, 729, 851, 540, 513, 10143, 1544, 547, 4688, 8103, 269, 634, 2669, 543, 24446, 540, 713, 835, 812, 568, 693, 519, 1360, 2295, 540, 519, 4168, 5132, 269, 1280, 10271, 621, 568, 998, 4906, 779, 2669, 602, 1004, 779, 7745, 2078, 609, 2696, 568, 17468, 269, 901, 568, 1634, 607, 519, 2311, 821, 618, 563, 3963, 568, 1651, 28271, 1271, 538, 8567, 888, 288, 3661, 538, 519, 1684, 551, 9068, 540, 519, 5549, 28271, 568, 1271, 547, 10271, 1317, 621, 1797, 602, 2696, 267, 607, 4906, 267, 666, 1174, 1018, 621, 1797, 547, 581, 1480, 269, 898, 849, 6087, 10271, 547, 723, 267, 998, 4906, 267, 513, 2123, 2078, 609, 2696, 563, 2710, 23597, 3494, 538, 1212, 332, 566, 888, 305, 727, 630, 290, 13585, 264, 634, 28912, 9307, 13638, 602, 23597, 949, 581, 1212, 332, 730, 855, 1058, 711, 723, 741, 607, 1127, 16559, 693, 4262, 610, 6854, 538, 2712, 985, 693, 1753, 269, 4340, 547, 1007, 4808, 689, 519, 28912, 779, 11705, 337, 1400, 5604, 267, 1212, 332, 730, 3788, 1058, 581, 6854, 538, 513, 968, 338, 659, 1042, 1747, 892, 971, 607, 513, 5939, 28200, 563, 1432, 1281, 519, 7826, 5783, 4001, 827, 1272, 1310, 2669, 888, 22146, 4978, 827, 1272, 1310, 2669, 616, 1759, 593, 519, 24446, 540, 4906, 2441, 269, 10271, 3494, 602, 4906, 685, 2669, 543, 24446, 616, 851, 540, 2696, 779, 10143, 1544, 585, 30768, 269, 3414, 1010, 2669, 593, 519, 3444, 267, 4906, 17188, 519, 15163, 585, 30768, 779, 5609, 543, 30768, 779, 2078, 609, 2696, 568, 17468, 563, 2710, 23597, 3494, 538, 4720, 888, 9213, 267, 519, 5783, 7028, 519, 2065, 4720, 630, 1143, 1070, 849, 1634, 607, 12105, 5137, 267, 4352, 23597, 616, 1863, 711, 547, 3494, 538, 1022, 851, 540, 12105, 3069, 269, 1358, 4001, 519, 1249, 602, 4720, 4386, 543, 519, 2413, 12105, 10282, 267, 799, 568, 519, 3621, 3069, 602, 6941, 875, 4720, 23131, 563, 1432, 1281, 5549, 28271, 1611, 888, 29825, 269, 606, 1651, 7568, 622, 1373, 610, 1106, 269, 513, 2713, 1373, 18220, 532, 513, 25976, 610, 6891, 269, 13429, 540, 1480, 1106, 610, 2470, 269, 519, 14985, 602, 519, 2034, 1268, 540, 519, 27076, 10924, 1480, 1106, 538, 519, 1268, 540, 4906, 2441, 543, 568, 4625, 1312, 2696, 543, 812, 563, 1432, 616, 1079, 3344, 540, 519, 32488, 577, 531, 9814, 888, 763, 17131, 577, 531, 9814, 568, 835, 540, 519, 3844, 2035, 540, 7826, 5132, 11341, 547, 519, 1686, 540, 20778, 269, 4706, 1292, 1641, 568, 519, 6612, 267, 2669, 267, 543, 1763, 18675, 540, 4906, 2441, 1107, 519, 960, 602, 2696, 519, 12429, 2366, 3571, 12312, 547, 9585, 593, 3618, 269, 0, 26926, 483, 26926, 483, 26926, 483, 589, 10370, 327, 332, 874, 1738, 2398, 1146, 2334, 29452, 3763, 634, 21210, 3590, 1772, 634, 11020, 569, 11109, 13038, 570, 16201, 657, 16237, 6533, 2659, 21210, 3590, 15850, 21210, 3590, 6496, 17491, 6435, 2659, 21210, 3590, 2052, 594, 6875 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

[ 294, 264, 19047, 454, 453, 266, 14992, 5665, 1369, 519, 2973, 1648, 2230, 3068, 2810, 2604, 547, 6542, 741, 7029, 547, 6940, 543, 3743, 9746, 2623, 269, 769, 713, 9074, 267, 649, 786, 26819, 519, 3334, 540, 11483, 305, 543, 11536, 294, 2994, 267, 20515, 1655, 2853, 543, 1761, 25354, 2059, 519, 1259, 269, 8865, 2090, 10023, 7986, 10909, 786, 948, 30881, 891, 2035, 2417, 563, 265, 21602, 476, 277, 281, 24021, 6355, 17738, 543, 28521, 20837, 338, 454, 453, 266, 21826, 569, 19394, 2029, 3790, 543, 15028, 4507, 723, 8118, 909, 3209, 18817, 585, 10451, 8907, 538, 519, 2973, 1648, 2872, 269, 901, 9074, 786, 5619, 5499, 1870, 3631, 971, 607, 2146, 3859, 267, 5691, 1379, 2371, 267, 9263, 3562, 24406, 518, 1648, 9467, 5867, 267, 3838, 10688, 2533, 267, 543, 9764, 4346, 4485, 269, 4841, 786, 2744, 3946, 6823, 1995, 10442, 519, 23250, 540, 7598, 891, 3631, 538, 1585, 8658, 563, 265, 21602, 476, 278, 281, 5685, 3496, 11162, 6052, 18768, 454, 453, 266, 7457, 532, 3854, 3788, 513, 1713, 4161, 585, 1082, 2973, 1648, 11639, 543, 3549, 5275, 547, 4336, 4238, 269, 901, 9074, 786, 4685, 2620, 883, 14104, 6127, 971, 607, 14679, 3854, 267, 7715, 4206, 27448, 267, 1857, 6990, 267, 3039, 7554, 267, 543, 6556, 6523, 269, 19893, 786, 1020, 513, 3102, 1620, 540, 519, 4220, 267, 2640, 267, 543, 4123, 26160, 2404, 609, 1142, 4781, 563, 265, 21602, 476, 279, 281, 7913, 1436, 543, 4578, 24630, 538, 11162, 6052, 15051, 454, 453, 266, 634, 3059, 4838, 814, 9927, 6080, 5001, 267, 543, 2973, 1648, 568, 1100, 9868, 269, 901, 9074, 786, 8495, 6932, 3466, 1644, 547, 5841, 4987, 267, 3684, 1565, 267, 9893, 267, 4950, 540, 1919, 630, 31166, 1070, 543, 2462, 1239, 12642, 269, 7464, 8996, 3156, 2066, 519, 3003, 1871, 5832, 1107, 689, 4058, 543, 1374, 547, 5106, 543, 5826, 1107, 786, 4196, 547, 20838, 519, 13710, 1764, 540, 7857, 1436, 593, 2973, 1648, 16904, 563, 265, 21602, 476, 280, 281, 16890, 4721, 543, 21664, 585, 2480, 2718, 8177, 454, 453, 266, 3143, 2582, 11769, 6585, 782, 519, 4267, 950, 21947, 609, 1950, 2591, 971, 607, 1232, 12365, 1944, 519, 2518, 4346, 269, 4475, 267, 7580, 12352, 1063, 6608, 267, 1875, 2889, 22327, 267, 4081, 5238, 267, 543, 4357, 13055, 616, 4105, 585, 8236, 6209, 3356, 4724, 1455, 3853, 269, 769, 713, 9074, 267, 5171, 786, 1353, 3811, 21769, 1063, 19635, 3906, 543, 2697, 4245, 4121, 585, 2104, 18129, 563, 265, 21602, 476, 1015, 281, 8892, 12367, 543, 19396, 11202, 1811, 538, 11162, 6052, 454, 453, 266, 1306, 519, 2973, 1648, 5823, 5170, 547, 9921, 267, 1007, 3255, 8451, 7258, 29886, 2591, 269, 901, 3803, 9074, 786, 22401, 883, 519, 12627, 3440, 267, 5356, 4030, 883, 6932, 3466, 5935, 519, 2872, 543, 1179, 6819, 593, 2009, 23484, 610, 26688, 4229, 30443, 6362, 1472, 519, 7944, 269, 1230, 9690, 569, 267, 649, 786, 2992, 593, 4876, 11444, 1930, 547, 20021, 540, 713, 1576, 543, 7291, 3268, 585, 22745, 513, 16180, 543, 14785, 3318, 18330, 780, 10112, 20156, 10613, 454, 2411, 13430, 9961, 519, 1576, 267, 1053, 786, 7119, 538, 1896, 2010, 540, 10526, 2966, 547, 1449, 8223, 267, 3498, 267, 10282, 267, 543, 6268, 540, 1576, 2326, 269, 13018, 267, 21249, 786, 2874, 540, 519, 1739, 3334, 1384, 265, 2878, 27396, 566, 4995, 15765, 6278, 538, 1362, 5717, 543, 1895, 960, 568, 1898, 585, 21924, 1565, 4093, 269, 8617, 20343, 543, 12905, 12032, 540, 10467, 3565, 9797, 2509, 7589, 9344, 563, 265, 2878, 5226, 714, 8240, 4995, 10374, 17118, 13950, 1282, 15872, 786, 2327, 602, 1053, 9787, 4909, 2035, 5189, 2429, 519, 1576, 269, 13658, 2055, 949, 2721, 689, 13220, 267, 7044, 267, 610, 2661, 23405, 563, 265, 2878, 19111, 5525, 4995, 16792, 7811, 1702, 547, 1483, 8996, 7653, 10597, 12802, 543, 8992, 2565, 3206, 269, 3962, 9074, 3568, 835, 610, 811, 2013, 2090, 8506, 1053, 547, 13209, 2042, 267, 15974, 3435, 267, 543, 9718, 7840, 1759, 593, 4396, 2963, 563, 265, 2878, 19061, 4518, 4995, 11554, 14350, 610, 538, 2516, 267, 1053, 786, 2347, 1079, 2101, 3785, 2966, 547, 13686, 17117, 540, 4143, 1983, 1115, 9715, 1282, 519, 1576, 269, 26346, 5528, 267, 19325, 267, 543, 6299, 7879, 3177, 538, 1813, 942, 5512, 1053, 547, 1544, 6619, 543, 21138, 6190, 4674, 9935, 563, 453, 266, 2608, 19061, 476, 272, 15846, 27588, 513, 19858, 2973, 1648, 1788, 6220, 2930, 267, 2883, 267, 543, 9431, 9270, 3248, 453, 266, 2608, 19061, 476, 273, 15846, 15043, 513, 979, 3562, 27360, 564, 4640, 585, 513, 3209, 2973, 1648, 1587, 610, 3028, 563, 265, 2878, 29806, 22410, 4995, 2311, 519, 3932, 540, 519, 2165, 267, 1053, 786, 1694, 585, 513, 3102, 981, 4152, 11291, 267, 1620, 267, 543, 3498, 540, 1883, 2035, 11402, 2429, 519, 1576, 780, 294, 15665, 16505, 6658, 454, 2411, 692, 2414, 3313, 3803, 4484, 9344, 267, 16929, 786, 2308, 519, 1739, 6871, 2597, 532, 1062, 1384, 347, 3281, 9426, 4449, 567, 1923, 13379, 1363, 11406, 347, 10900, 955, 268, 347, 1366, 9339, 268, 2008, 347, 30880, 23526, 1923, 476, 1015, 260, 2018, 11406, 347, 13658, 8240, 4449, 672, 1923, 476, 1428, 260, 2018, 11406, 347, 8865, 5525, 3546, 1923, 476, 1789, 260, 2018, 11406, 347, 5741, 4518, 4449, 1923, 476, 1789, 260, 2018, 11406, 347, 15937, 11929, 4449, 476, 1923, 476, 1428, 260, 2018, 1923, 692, 2750, 1051, 725, 543, 8249, 454, 10900, 13430, 10743, 19801, 538, 713, 1576, 616, 4397, 547, 4142, 6510, 5111, 1614, 3108, 829, 3018, 3544, 540, 16516, 1362, 2053, 547, 2689, 8655, 2542, 2326, 267, 4585, 14292, 7044, 267, 12840, 609, 2319, 10863, 267, 543, 2347, 6780, 4247, 269, 2755, 1582, 30928, 1565, 3029, 519, 22449, 540, 2937, 2069, 267, 1964, 21407, 602, 15792, 5583, 267, 5955, 267, 543, 19015, 24098, 1346, 8348, 547, 1902, 942, 543, 4674, 883, 28798, 741, 4739, 780, 16966, 1043, 3842, 2052, 11663, 267, 519, 2228, 1565, 3760, 8246, 676, 938, 9872, 267, 1053, 786, 1265, 6402, 547, 2838, 5931, 267, 24045, 4930, 267, 19180, 2200, 267, 4901, 12545, 267, 3446, 2835, 267, 30300, 1513, 267, 11382, 29422, 267, 543, 824, 22317, 1344, 269, 9701, 1022, 2152, 8451, 3823, 10333, 267, 10342, 267, 610, 32636, 267, 798, 711, 19292, 547, 3914, 856, 547, 519, 8668, 6435, 30325, 610, 3343, 6351, 689, 707, 14357, 4433, 6393, 6962, 454, 29603, 3528, 11264, 713, 11826, 2943, 2502, 6437, 10704, 1472, 4294, 1806, 543, 15826, 9382, 267, 1053, 4927, 10836, 1732, 5423, 547, 10994, 10296, 2825, 4145, 6849, 8103, 2221, 269, 2060, 8990, 267, 5698, 267, 5876, 267, 543, 6612, 267, 649, 1413, 4464, 547, 25054, 593, 713, 7214, 7045, 1927, 269, 2913, 721, 2253, 256, 0, 2237, 513, 1279, 543, 1360, 2143, 1576, 1770, 585, 513, 1837, 593, 834, 27662, 6052, 19662, 281, 6355, 17738, 543, 11627, 725, 257, 5497, 585, 2852, 1053, 563, 2171, 616, 4867, 1603, 519, 1101, 3184, 281, 834, 272, 269, 4985, 8487, 2171, 723, 2907, 4988, 519, 1739, 1016, 26972, 538, 519, 1699, 3184, 281, 834, 272, 269, 272, 269, 9502, 540, 8693, 15306, 2580, 834, 272, 269, 273, 269, 11957, 540, 11162, 6052, 19662, 8487, 2237, 519, 1007, 1016, 15492, 11331, 834, 272, 269, 274, 269, 11137, 540, 519, 1576, 257, 1247, 3843, 547, 581, 912, 268, 21004, 910, 596, 1711, 4101, 9499, 602, 3382, 519, 1570, 538, 3178, 563, 268, 12056, 910, 707, 9499, 723, 513, 2239, 9095, 543, 2502, 3159, 267, 899, 519, 1603, 540, 7812, 11066, 563, 268, 11930, 910, 596, 946, 1808, 543, 4052, 1806, 269, 1280, 1383, 267, 952, 519, 1888, 568, 5610, 538, 11810, 267, 1331, 4834, 543, 15997, 540, 519, 1523, 596, 2811, 3450, 269, 1306, 1776, 1383, 267, 952, 519, 1888, 568, 519, 1686, 540, 519, 2136, 2276, 267, 1331, 7389, 267, 4408, 267, 543, 1883, 2621, 563, 8855, 547, 1118, 1543, 6098, 693, 2852, 1053, 267, 945, 949, 723, 930, 13654, 1702, 855, 616, 711, 4966, 538, 519, 2361, 269, 634, 1570, 1058, 581, 2143, 543, 2219, 4538, 269 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

[ 25720, 25720, 25720, 25720, 25720, 25720, 25720, 25720, 25720, 25720, 25720, 25720, 25720, 25720, 25720, 25720, 25720, 25720, 25720, 25720, 25720, 25720, 25720, 25720, 25720, 25720, 25720, 25720, 25720, 25720, 25720, 25720, 25720, 25720, 25720, 25720, 25720, 25720, 25720, 25720, 25720, 25720, 25720, 25720, 25720, 25720, 25720, 25720, 25720, 25720, 25720, 25720, 25720, 25720, 25720, 25720, 25720, 25720, 25720, 25720, 25720, 25720, 25720, 25720, 25720, 25720, 25720, 25720, 25720, 25720, 25720, 25720, 25720, 25720, 25720, 25720, 25720, 25720, 25720, 25720, 25720, 25720, 25720, 25720, 25720, 25720, 25720, 25720, 25720, 25720, 25720, 25720, 25720, 25720, 25720, 25720, 25720, 25720, 25720, 25720, 25720, 25720, 25720, 25720, 25720, 25720, 25720, 25720, 25720, 25720, 25720, 25720, 25720, 25720, 25720, 25720, 25720, 25720, 25720, 25720, 25720, 25720, 25720, 25720, 25720, 25720, 25720, 25720, 25720, 25720, 25720, 25720, 25720, 25720, 25720, 25720, 25720, 25720, 25720, 25720, 25720, 25720, 25720, 25720, 25720, 25720, 25720, 25720, 25720, 25720, 25720, 25720, 25720, 25720, 25720, 25720, 25720, 25720, 25720, 25720, 25720, 25720, 25720, 25720, 25720, 25720, 25720, 25720, 25720, 25720, 25720, 25720, 25720, 25720, 25720, 25720, 25720, 25720, 25720, 25720, 25720, 25720, 25720, 25720, 25720, 25720, 25720, 25720, 25720, 25720, 25720, 25720, 25720, 25720, 25720, 25720, 25720, 25720, 25720, 25720, 25720, 25720, 25720, 25720, 25720, 25720, 25720, 25720, 25720, 25720, 25720, 25720, 25720, 25720, 25720, 25720, 25720, 25720, 25720, 25720, 25720, 25720, 25720, 25720, 25720, 25720, 25720, 25720, 25720, 25720, 25720, 25720, 25720, 25720, 25720, 25720, 25720, 25720, 25720, 25720, 25720, 25720, 25720, 25720, 25720, 25720, 25720, 25720, 25720, 25720, 25720, 25720, 25720, 25720, 25720, 25720, 25720, 25720, 25720, 25720, 25720, 25720, 25720, 25720, 25720, 25720, 25720, 288, 0, 2080, 568, 606, 1349, 689, 513, 2546, 912, 24679, 6501, 1920, 5389, 3180, 513, 2027, 1747, 538, 519, 12271, 540, 1082, 267, 607, 789, 979, 3564, 6071, 9821, 543, 12738, 269, 1452, 5389, 1404, 513, 2629, 1909, 538, 8497, 2686, 6561, 543, 14304, 1920, 7554, 269, 2290, 971, 2245, 602, 6585, 1390, 4644, 568, 10732, 12129, 267, 799, 568, 811, 982, 1175, 513, 7594, 269, 898, 5713, 607, 513, 942, 585, 5481, 547, 2097, 1927, 267, 2671, 2757, 7969, 10346, 267, 543, 1780, 1524, 2984, 543, 7326, 563, 763, 2956, 540, 10732, 12129, 6013, 538, 519, 11018, 540, 5481, 267, 1141, 22594, 267, 3237, 267, 543, 1453, 2097, 1927, 547, 2671, 513, 7594, 543, 1921, 593, 513, 4514, 1377, 269, 898, 2636, 1920, 2818, 547, 6125, 267, 6952, 909, 593, 1142, 824, 779, 2729, 267, 543, 1711, 9434, 8823, 269, 13966, 2515, 519, 8949, 1426, 267, 10732, 12129, 568, 606, 4316, 585, 4687, 2984, 543, 8429, 1524, 5389, 602, 723, 1044, 19644, 585, 5481, 563, 4913, 267, 7969, 1920, 5389, 8831, 3564, 10732, 12129, 269, 14080, 633, 16873, 267, 5993, 1920, 7477, 725, 267, 4332, 17058, 267, 3045, 1392, 2456, 267, 543, 556, 3010, 2237, 606, 2502, 543, 3015, 1576, 1770, 538, 513, 1837, 585, 1647, 1153, 1053, 1644, 547, 519, 1349, 1657, 267, 2519, 593, 834, 24292, 11595, 257, 607, 851, 540, 834, 16300, 16337, 1315, 7731, 1315, 5564, 3394, 518, 1049, 2668, 634, 1543, 1058, 581, 3358, 585, 1647, 1153, 1053, 1510, 1991, 1702, 540, 519, 1888, 780, 2521, 547, 1384, 268, 3629, 2143, 3137, 267, 2057, 2930, 3822, 267, 543, 1459, 519, 2093, 538, 513, 3551, 267, 2239, 3159, 563, 268, 3417, 1806, 547, 1118, 519, 1641, 3839, 543, 3078, 585, 1762, 1647, 1153, 1053, 563, 268, 3680, 4304, 519, 1357, 1349, 538, 519, 1837, 269, 1684, 711, 1331, 513, 2140, 610, 2606, 2453, 269, 3399, 1603, 519, 1543, 2047, 269 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

[ 789, 1810, 1405, 4866, 269, 1677, 2149, 6000, 1996, 5739, 4551, 267, 7189, 1419, 21559, 11216, 267, 799, 616, 6527, 2966, 4481, 547, 6146, 610, 21391, 9190, 2208, 269, 1717, 267, 936, 942, 267, 930, 4551, 1831, 11259, 547, 11216, 267, 2495, 789, 1265, 2081, 547, 7639, 5103, 519, 4915, 269, 901, 7613, 814, 3366, 547, 4165, 574, 17853, 18650, 630, 4456, 305, 1070, 835, 540, 2221, 781, 1034, 10296, 1072, 4145, 780, 2414, 10994, 7537, 305, 267, 30511, 1071, 1922, 15903, 1849, 1478, 12713, 534, 3315, 3749, 12229, 538, 8050, 269, 1261, 543, 1010, 2319, 2919, 3642, 14617, 2645, 602, 5659, 1239, 689, 513, 3684, 1572, 631, 3201, 14888, 7136, 15190, 668, 2678, 269, 901, 3926, 2337, 2697, 1114, 2010, 540, 6675, 1369, 9190, 2281, 269, 1635, 9236, 891, 7636, 9416, 21646, 1063, 1585, 4551, 2249, 267, 1849, 1478, 781, 3301, 30193, 11259, 3283, 689, 1875, 15033, 3283, 3533, 543, 8308, 780, 4002, 519, 824, 2427, 540, 519, 9533, 267, 22189, 1568, 693, 769, 10075, 520, 1460, 538, 519, 2136, 2276, 269, 4635, 2147, 2553, 267, 646, 6212, 593, 2870, 4028, 10368, 4255, 547, 3313, 952, 2576, 781, 3968, 568, 10194, 610, 9190, 269, 18833, 713, 3017, 2038, 593, 5849, 2550, 4309, 3617, 2126, 267, 4227, 11991, 15084, 6165, 543, 23646, 1524, 519, 1646, 540, 7537, 305, 780, 3383, 1946, 1281, 1022, 540, 713, 2339, 547, 721, 286, 4197, 875, 3642, 20674, 3173, 538, 4974, 17973, 2488, 5813, 883, 2104, 2564, 7760, 269, 5994, 9683, 707, 4387, 609, 2770, 6438, 2589, 269, 5502, 540, 7058, 1740, 543, 2789, 11564, 267, 513, 2656, 1449, 8761, 2436, 621, 781, 1813, 547, 513, 3644, 610, 4551, 269, 1403, 9190, 267, 519, 2164, 1522, 849, 1397, 799, 15084, 1131, 960, 1655, 267, 10893, 922, 21568, 269, 1452, 7399, 6542, 875, 2629, 1382, 899, 30511, 262, 543, 22189, 781, 568, 538, 5935, 14182, 781, 3782, 5251, 780, 2026, 596, 979, 827, 707, 1554, 267, 3314, 519, 31305, 12325, 543, 5636, 1622, 4478, 721, 1107, 519, 22800, 17973, 269, 3414, 5499, 4485, 899, 3642, 267, 945, 6487, 1018, 11580, 649, 949, 12260, 827, 891, 14263, 9908, 7919, 543, 875, 789, 1764, 938, 2729, 256, 0, 2080, 568, 606, 1349, 689, 513, 2546, 912, 257, 25603, 938, 19264, 817, 611, 832, 476, 272, 268, 5611, 454, 299, 7572, 2494, 1356, 320, 623, 2444, 783, 568, 1071, 1922, 10133, 543, 16628, 540, 1849, 1478, 12713, 534, 3315, 3749, 12229, 538, 8050, 269, 1849, 1478, 10953, 14464, 11106, 2861, 6620, 585, 519, 3728, 267, 29765, 8446, 540, 21734, 4187, 6127, 269, 4256, 1935, 568, 1759, 593, 29227, 631, 3201, 14888, 7136, 15190, 668, 4479, 1239, 547, 9553, 519, 6456, 1344, 602, 24508, 759, 26938, 689, 6213, 12490, 269, 1849, 1478, 3523, 919, 609, 1896, 1271, 3864, 10506, 543, 723, 4607, 6284, 689, 9167, 670, 1708, 271, 14828, 543, 519, 22749, 540, 8050, 543, 1656, 531, 1075, 807, 269, 30511, 685, 9021, 538, 519, 2754, 1331, 10324, 4247, 547, 2936, 1279, 3856, 4640, 543, 1818, 2386, 602, 3025, 568, 6126, 543, 4847, 547, 798, 741, 960, 543, 2769, 741, 5876, 547, 519, 5207, 4110, 269, 30511, 568, 4628, 3222, 540, 519, 2956, 540, 519, 4161, 649, 616, 782, 6849, 609, 7537, 305, 543, 4628, 8149, 547, 2285, 938, 7887, 4674, 547, 948, 8165, 621, 563, 297, 517, 11936, 4936, 3298, 5652, 568, 3213, 6363, 10133, 543, 2910, 302, 540, 769, 10075, 520, 1460, 538, 519, 7330, 269, 3571, 2754, 594, 3010, 2237, 606, 2502, 543, 3015, 1576, 1770, 538, 513, 1837, 585, 1647, 1153, 1053, 1644, 547, 519, 1349, 1657, 267, 2519, 593, 834, 300, 15412, 5735, 257, 607, 851, 540, 834, 16300, 13493, 1315, 3163, 1299, 7186, 1315, 10334, 2668, 634, 1543, 1058, 581, 3358, 585, 1647, 1153, 1053, 1510, 1991, 1702, 540, 519, 1888, 780, 2521, 547, 1384, 268, 3629, 2143, 3137, 267, 2057, 2930, 3822, 267, 543, 1459, 519, 2093, 538, 513, 3551, 267, 2239, 3159, 563, 268, 3417, 1806, 547, 1118, 519, 1641, 3839, 543, 3078, 585, 1762, 1647, 1153, 1053, 563, 268, 3680, 4304, 519, 1357, 1349, 538, 519, 1837, 269, 1684, 711, 1331, 513, 2140, 610, 2606, 2453, 269, 3399, 1603, 519, 1543, 2047, 269, 0, 769, 519, 5318, 5251, 540, 1480, 2833, 267, 1906, 3344, 616, 607, 1950, 543, 15491, 607, 1920, 6384, 543, 14375, 3347, 269, 1452, 6946, 3103, 540, 4276, 1404, 513, 1713, 1909, 538, 5935, 938, 9163, 267, 1582, 12656, 8526, 267, 3929, 8171, 267, 543, 2949, 1646, 269, 1280, 1453, 609, 2027, 2115, 267, 891, 3347, 1419, 3180, 1256, 3152, 4644, 1813, 547, 519, 2189, 2591, 789, 3068, 269, 1306, 971, 267, 621, 3587, 2629, 547, 4983, 543, 1174, 519, 1585, 7516, 540, 1920, 543, 3347, 267, 3226, 538, 6935, 547, 12003, 609, 3929, 2591, 543, 16236, 780, 272, 269, 634, 25043, 540, 7731, 18868, 543, 3955, 26051, 17716, 692, 4263, 922, 4295, 267, 513, 1920, 4564, 513, 4909, 1514, 9872, 16922, 540, 2043, 945, 2671, 4719, 13218, 267, 9772, 633, 7554, 267, 610, 6074, 19647, 269, 10738, 713, 15982, 1895, 267, 2818, 6330, 3232, 1272, 1927, 267, 8108, 3270, 540, 5872, 602, 2901, 7794, 610, 2144, 1712, 22686, 7554, 269, 14265, 1017, 3334, 540, 2318, 1920, 6384, 1331, 1930, 2792, 267, 8994, 2463, 267, 6568, 267, 3838, 2418, 267, 543, 2648, 269, 1879, 8647, 5688, 958, 267, 3885, 4196, 607, 2922, 688, 26223, 1141, 2818, 1745, 12595, 267, 6462, 267, 543, 7608, 5103, 1022, 7915, 3604, 610, 1367, 9620, 780, 11328, 26051, 3347, 8831, 3564, 519, 32604, 540, 7525, 1920, 4559, 267, 21214, 17052, 267, 11509, 12352, 267, 3318, 24816, 267, 543, 2146, 4296, 269, 5381, 547, 1920, 6384, 267, 3811, 14375, 3347, 554, 16636, 2390, 3972, 267, 19969, 267, 2500, 2792, 267, 543, 25262, 640, 269, 5047, 267, 14237, 513, 3309, 3060, 540, 11215, 3347, 8309, 3648, 547, 2790, 1072, 6043, 267, 5807, 13916, 267, 543, 29103, 1359, 12003, 6127, 1282, 4101, 2053, 780, 273, 269, 19484, 16508, 12694, 1369, 19198, 543, 17716, 692, 14399, 609, 2027, 2115, 4749, 7237, 2189, 3929, 23665, 31827, 689, 2188, 971, 607, 2168, 7687, 267, 5042, 23043, 267, 1565, 9124, 267, 610, 8965, 4713, 269, 18601, 891, 2591, 19329, 10319, 3646, 1851, 3237, 267, 7855, 267, 3782, 7426, 267, 543, 824, 16539, 6105, 269, 1677, 3927, 1489, 4299, 6107, 267, 3885, 1590, 1101, 11760, 543, 19472, 741, 4664, 267, 8716, 4082, 1247, 8195, 3450, 3617, 12003, 2994, 780, 3080, 1935, 3322, 7598, 513, 9342, 2861, 5133, 267, 10771, 1142, 1126, 781, 17916, 15421, 543, 5759, 2864, 982, 23029, 9003, 593, 19518, 269, 1635, 14637, 2127, 540, 16169, 267, 15637, 948, 5818, 1582, 12635, 543, 3895, 513, 2631, 540, 22920, 267, 7551, 7393, 3929, 6617, 269, 5015, 267, 6220, 2963, 2861, 9354, 2553, 1107, 971, 607, 5042, 15515, 24173, 3797, 630, 30274, 1070, 13172, 673, 2623, 3797, 630, 291, 6630, 1070, 610, 11009, 2853, 1107, 666, 16491, 1312, 1453, 543, 4079, 609, 1898, 2645, 585, 10188, 21500, 543, 15725, 4664, 780, 274, 269, 19737, 717, 4361, 543, 13809, 23800, 1369, 19198, 543, 17716, 692, 294, 4471, 1324, 13054, 1776, 8471, 2943, 7184, 13857, 25246, 540, 1480, 6228, 269, 2755, 1034, 4122, 2404, 609, 2669, 267, 2530, 666, 8915, 3842, 16221, 3029, 1519, 16028, 267, 882, 6327, 267, 2816, 26694, 267, 610, 21022, 2168, 4390, 269, 17859, 540, 1808, 6381, 267, 581, 516, 29713, 5222, 1169, 4759, 540, 513, 1920, 610, 2078, 3060, 267, 5732, 24254, 22107, 8172, 2360, 602, 26871, 828, 622, 2066, 2789, 11890, 780, 22546, 1947, 4393, 16236, 3340, 942, 267, 9639, 267, 543, 8296, 269, 18964, 1930, 5188, 827, 4606, 267, 4555, 267, 543, 4145, 16881, 7067, 676, 4570, 908, 1367, 2833, 543, 5009, 17604, 8015, 7104, 28194, 269, 12056, 538, 18189, 1436, 12738, 1107, 2436, 6101, 18428, 610, 13016, 6411, 540, 1121, 27320, 1107, 849, 5713, 513, 4105, 1599, 538, 14344, 4503, 6068, 3283, 543, 8497, 19644, 8823, 269, 14936, 267, 5275, 5007, 2200, 971, 607, 13508, 2533, 267, 1489, 2516, 267, 610, 3872, 2326, 949, 6961, 6225, 538, 11160, 13586, 4540, 12003, 25479, 2231, 543, 5807, 2022, 10177, 9964, 2208, 780, 275, 269, 7351, 12367, 543, 3194, 28454, 692, 13146, 7760, 538, 2029, 723, 721, 22363, 538, 5499, 4485, 547, 5466, 1920, 543, 2078, 2591, 267, 3226, 3823, 1453, 609, 2027, 2115, 269, 17791, 8234, 5867, 1631, 5512, 6552, 1569, 547, 7463, 11257, 267, 9750, 3914, 543, 4227, 7496, 547, 2126, 269, 14044, 4641, 4066, 13974, 2709, 15138, 23913, 1565, 3255, 267, 3850, 3755, 547, 2259, 1007, 1983, 1369, 20533, 5054, 20009, 547, 17634, 543, 17117, 780, 19602, 267, 24567, 1382, 5170, 547, 22113, 3209, 4030, 4478, 22686, 3347, 543, 3929, 8171, 269, 589, 476, 1708, 271, 1353, 3370, 538, 519, 4750, 540, 25141, 543, 7731, 7000, 602, 18971, 262, 9525, 538, 12391, 585, 1453, 609, 9124, 9797, 6766, 11299, 262, 5626, 16369, 267, 25967, 1681, 519, 2956, 540, 12581, 6498, 540, 4074, 1369, 10820, 21679, 609, 3606, 11928, 1516, 7569, 269, 3958, 267, 6932, 13753, 883, 27981, 7497, 2303, 1761, 18817, 585, 3358, 6304, 2994, 13389, 5444, 4082, 25244, 267, 5356, 4126, 585, 4824, 10835, 2359, 543, 2298, 540, 1272, 3986, 906, 780, 276, 269, 10390, 692, 32382, 1920, 6384, 543, 14375, 3347, 6799, 513, 15400, 3460, 678, 1057, 609, 12587, 543, 2591, 7567, 269, 1280, 1453, 609, 2027, 2115, 29270, 3929, 23665, 543, 16236, 2833, 267, 11215, 5121, 1831, 16832, 22225, 12765, 7675, 6043, 543, 9542, 269, 3414, 18532, 14713, 540, 2635, 3347, 8547, 2390, 3972, 267, 2792, 267, 543, 8994, 1620, 267, 3885, 543, 2950, 666, 6536, 6099, 1646, 267, 6830, 1518, 3929, 14425, 267, 543, 7520, 7067, 8015, 14488, 269, 0, 2080, 568, 606, 1349, 689, 513, 2546, 281, 834, 30531, 16908, 267, 513, 2442, 1272, 11191, 3014, 267, 2636, 5716, 547, 2661, 3059, 2729, 4904, 609, 10761, 543, 2591, 269, 2290, 2101, 2460, 540, 519, 3014, 568, 5883, 3347, 543, 1920, 6384, 267, 799, 666, 7494, 1764, 513, 6345, 779, 1995, 543, 4093, 269, 901, 538, 3829, 3391, 786, 2263, 519, 14960, 540, 9779, 16908, 779, 2078, 543, 1920, 1062, 267, 3246, 3407, 4030, 883, 875, 547, 2226, 2635, 4296, 267, 960, 998, 1272, 2621, 267, 543, 1628, 513, 6793, 5691, 1920, 563, 1103, 9779, 16908, 267, 5716, 723, 519, 4316, 547, 1106, 3347, 609, 5691, 2828, 267, 4891, 267, 543, 1920, 2818, 267, 1142, 609, 741, 3982, 14789, 543, 21274, 269, 3807, 899, 538, 1483, 3734, 267, 2635, 3347, 538, 519, 3014, 2154, 1620, 267, 2792, 267, 543, 14207, 269, 1635, 2519, 593, 519, 2609, 602, 3565, 547, 3811, 4296, 267, 5716, 666, 11694, 741, 18399, 543, 1711, 513, 3059, 1272, 4502, 2713, 563, 19465, 543, 16237, 28517, 17716, 538, 9779, 16908, 454, 2414, 1628, 543, 2226, 513, 2178, 8887, 328, 6231, 2237, 606, 3573, 543, 2143, 1576, 1770, 538, 513, 1837, 585, 2852, 1053, 1644, 547, 519, 1349, 1657, 267, 2519, 593, 674, 4456, 6579, 312, 1299, 23781, 9569, 17239, 296, 4916, 1315, 5753, 609, 7981, 20126, 1315, 10515, 532, 609, 16508, 12694, 543, 717, 4361, 269, 1684, 711, 1175, 1592, 2035, 267, 855, 1020, 1142, 835, 538, 1469, 1354, 3001, 547, 519, 1985, 267, 607, 649, 4225, 3178, 540, 1620, 543, 3102, 3408, 540, 519, 1641, 2339, 936, 4560, 563, 2521, 547, 1384, 268, 3550, 538, 3829, 3795, 540, 519, 2035, 563, 268, 2422, 513, 2239, 2219, 4538, 2511, 563, 268, 4045, 519, 1888, 609, 1699, 3466, 267, 1483, 3734, 1806, 267, 610, 2487, 2090, 563, 2710, 711, 1331, 513, 2140, 267, 2606, 2453, 610, 2592, 269, 3503, 519, 1543, 2047, 269, 0, 7705, 281, 19850, 7585, 267, 723, 596, 2479, 2219, 827, 9683, 7977, 286, 594, 4312, 4862, 621, 781, 2407, 540, 5863, 1686, 543, 3579, 8631, 547, 1294, 2439, 7692, 281, 26419, 286, 6145, 1018, 2186, 540, 1686, 2496, 8334, 281, 4270, 267, 7977, 814, 1044, 1472, 585, 513, 2731, 1279, 942, 267, 865, 789, 723, 6266, 540, 2025, 5656, 543, 11247, 269, 1280, 1383, 267, 789, 723, 519, 2051, 657, 572, 636, 267, 799, 568, 1141, 1350, 14508, 2209, 1031, 547, 4339, 1142, 824, 538, 4395, 540, 513, 2462, 15624, 2439, 7692, 281, 5808, 320, 267, 602, 4992, 15813, 256, 1809, 1946, 1131, 1004, 1616, 547, 4585, 824, 1004, 8165, 2496, 8334, 281, 2334, 781, 1175, 1018, 789, 1705, 1394, 1287, 269, 4658, 17329, 547, 1294, 945, 729, 519, 16999, 543, 2909, 4034, 269, 898, 781, 1271, 547, 3314, 602, 1114, 2053, 1185 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

[ 5984, 2480, 515, 22611, 269, 5381, 547, 15751, 267, 670, 9007, 5249, 607, 513, 17002, 538, 1715, 3840, 282, 646, 1185, 1100, 9939, 609, 1010, 26136, 543, 3366, 606, 29043, 1272, 269, 769, 21658, 547, 519, 2480, 515, 22611, 1920, 519, 681, 1054, 779, 6410, 689, 27201, 270, 645, 992, 985, 6807, 547, 519, 13722, 5101, 17121, 538, 1715, 3840, 563, 21837, 568, 13269, 607, 513, 6213, 1126, 267, 856, 571, 3022, 676, 519, 4638, 2833, 646, 2306, 610, 22168, 269, 769, 519, 8772, 3184, 540, 519, 1433, 621, 568, 24955, 945, 4564, 681, 1054, 950, 646, 6822, 340, 806, 6424, 779, 23013, 538, 519, 25810, 269, 1879, 3379, 547, 519, 2278, 779, 1378, 1272, 267, 519, 3209, 11392, 513, 1007, 543, 1114, 4644, 269, 11910, 621, 12619, 666, 581, 2808, 513, 2413, 626, 3801, 540, 513, 1654, 6150, 26249, 563, 274, 269, 634, 12474, 540, 519, 1433, 454, 24445, 621, 12619, 568, 5258, 883, 513, 7139, 4084, 543, 2185, 2694, 281, 3883, 594, 634, 8426, 541, 267, 3883, 4083, 634, 16514, 267, 3883, 8633, 634, 15021, 543, 3883, 10001, 634, 12565, 269, 634, 7139, 4084, 6257, 519, 12625, 540, 6424, 543, 1010, 3993, 2637, 5984, 538, 1715, 3840, 950, 646, 568, 827, 476, 1240, 3923, 2025, 269, 898, 3568, 519, 22653, 542, 540, 519, 1920, 267, 606, 693, 2988, 673, 22653, 542, 538, 799, 519, 4651, 15751, 2907, 3217, 519, 2990, 540, 606, 796, 331, 8221, 543, 10795, 812, 563, 763, 8426, 541, 6257, 6424, 779, 1272, 538, 645, 992, 985, 6807, 950, 646, 568, 827, 2947, 1296, 2025, 269, 15751, 779, 16111, 2530, 540, 6009, 267, 7526, 609, 519, 7023, 1453, 543, 700, 17458, 779, 31593, 538, 519, 2480, 515, 22611, 1920, 616, 1152, 513, 1906, 3344, 602, 31083, 20760, 6424, 779, 2833, 269, 1261, 4667, 8572, 547, 2743, 1010, 4651, 779, 6788, 267, 3085, 1406, 1265, 2828, 3362, 543, 1010, 4555, 11457, 1472, 1010, 3993, 269, 769, 1840, 15751, 779, 1152, 3659, 700, 17458, 267, 513, 4604, 518, 693, 519, 2480, 515, 541, 3149, 685, 12129, 3349, 267, 13290, 547, 1118, 8441, 593, 2637, 5984, 269, 1879, 6424, 12034, 700, 17458, 4283, 1010, 1753, 267, 646, 554, 1938, 538, 519, 1591, 541, 855, 4166, 1965, 7870, 19225, 2989, 543, 8255, 2476, 269, 1261, 568, 4503, 543, 1010, 3993, 814, 547, 30321, 1864, 689, 519, 7128, 6728, 563, 2691, 15751, 9060, 513, 1007, 2816, 693, 519, 4098, 540, 634, 16514, 267, 519, 2480, 515, 541, 3149, 1847, 689, 645, 992, 985, 6807, 547, 519, 13722, 5101, 17121, 1141, 519, 6967, 2694, 540, 519, 1433, 616, 1305, 269, 590, 2210, 830, 2663, 2637, 5984, 779, 7820, 11078, 7137, 15925, 6294, 6233, 543, 13978, 609, 519, 1920, 269, 4173, 3251, 3123, 4049, 8373, 609, 6424, 779, 4651, 267, 855, 5555, 1352, 9060, 9887, 513, 9393, 543, 3762, 269, 6969, 1200, 7365, 7137, 15925, 12909, 2637, 5984, 883, 13031, 519, 2601, 1946, 1352, 9310, 15751, 269, 6424, 23986, 1513, 1010, 3993, 779, 1476, 11970, 281, 1879, 1352, 729, 1309, 269, 476, 1240, 1296, 2025, 267, 2637, 5984, 1185, 513, 2648, 26035, 609, 513, 4168, 267, 606, 1418, 626, 269, 2701, 729, 1336, 856, 543, 7142, 547, 2736, 909, 519, 2078, 543, 1265, 513, 6014, 9393, 269, 2637, 5984, 6645, 851, 540, 519, 1650, 538, 14470, 547, 3247, 6424, 689, 6947, 267, 855, 646, 3096, 519, 11353, 646, 17358, 547, 6427, 1010, 1378, 4528, 540, 519, 1650, 563, 1607, 1957, 786, 1445, 593, 519, 2034, 3368, 540, 11910, 621, 3207, 269, 3883, 8633, 4607, 922, 2012, 689, 513, 1650, 6424, 30650, 538, 524, 1117, 518, 267, 513, 6014, 1153, 547, 799, 646, 568, 2366, 547, 1451, 12355, 269, 6969, 519, 4064, 540, 2696, 267, 23109, 5905, 30037, 779, 17534, 609, 5755, 547, 1625, 1518, 1864, 269, 6424, 779, 31117, 609, 519, 4062, 540, 5755, 543, 519, 13411, 1769, 602, 10237, 919, 689, 621, 786, 1246, 519, 7911, 2394, 519, 1439, 540, 519, 3209, 543, 1291, 547, 519, 2413, 626, 6172, 1314, 538, 519, 4050, 738, 1493, 3184, 269, 2201, 519, 1554, 540, 30687, 267, 6424, 15211, 513, 1906, 10754, 2476, 689, 1010, 1753, 547, 6633, 519, 669, 636, 6308, 267, 519, 2611, 10249, 540, 682, 822, 2989, 3694, 267, 593, 519, 2703, 802, 269, 1261, 568, 9676, 676, 513, 1895, 540, 9721, 8695, 945, 3196, 1864, 547, 12235, 513, 4062, 540, 4401, 883, 519, 8265, 8364, 13475, 593, 570, 5460, 9335, 269, 634, 3167, 5279, 540, 519, 13475, 11199, 14186, 609, 513, 8755, 543, 6424, 11099, 646, 814, 2938, 519, 1482, 1769, 607, 30037, 1705, 630, 305, 1054, 476, 26839, 268, 25090, 1916, 1103, 519, 8772, 851, 540, 519, 3209, 267, 6424, 10742, 24955, 267, 513, 14470, 7911, 2713, 538, 519, 8378, 267, 543, 3587, 2828, 609, 1864, 269, 6424, 8098, 2231, 24955, 543, 568, 1360, 24330, 676, 24955, 779, 22590, 607, 1134, 607, 676, 1010, 2623, 269, 1879, 646, 6645, 24955, 827, 1010, 4587, 23013, 6480, 615, 267, 519, 4587, 7911, 12410, 806, 6424, 547, 948, 1864, 2743, 519, 8004, 538, 5728, 269, 769, 5385, 646, 3091, 6424, 513, 887, 338, 776, 267, 1317, 646, 814, 8068, 6424, 779, 25621, 585, 3909, 3688, 269, 1809, 6424, 568, 28280, 676, 519, 7237, 538, 1010, 23013, 779, 25810, 543, 7904, 525, 950, 519, 1614, 1453, 616, 4362, 676, 1010, 2034, 23013, 2717, 569, 269, 1261, 4422, 547, 524, 1117, 518, 543, 1869, 4299, 689, 519, 2621, 6645, 1010, 14558, 328, 606, 11827, 1650, 2687, 547, 799, 1010, 3237, 616, 1152, 1010, 6536, 3237, 267, 1010, 6211, 3993, 568, 4666, 543, 1010, 1483, 4651, 729, 513, 8425, 850, 563, 8867, 334, 779, 7237, 609, 6480, 615, 267, 607, 1134, 607, 519, 11827, 1650, 1267, 538, 513, 20296, 1935, 2509, 519, 3803, 11271, 269, 634, 14558, 328, 16976, 547, 1217, 6424, 779, 3237, 827, 519, 7911, 779, 1702, 543, 11564, 519, 2480, 515, 541, 3149, 269, 6480, 615, 779, 4651, 267, 1102, 584, 7007, 676, 1010, 8250, 779, 2623, 543, 6424, 779, 851, 538, 519, 2898, 2680, 267, 849, 16976, 547, 3643, 519, 2480, 515, 541, 3149, 269, 1879, 15751, 11392, 519, 3377, 646, 25001, 513, 21915, 5300, 543, 6238, 547, 2285, 6424, 513, 4049, 25588, 269, 634, 7911, 666, 9101, 609, 519, 948, 540, 1010, 3993, 543, 554, 1938, 269, 769, 3406, 585, 519, 10143, 1769, 799, 646, 11099, 547, 723, 2938, 593, 30687, 267, 646, 25001, 606, 4401, 1019, 3899, 883, 519, 13475, 593, 570, 5460, 9335, 267, 855, 713, 942, 646, 568, 9575, 676, 519, 3167, 11166, 543, 19380, 1010, 9637, 269, 1261, 568, 10710, 543, 950, 646, 7024, 1753, 10483, 676, 513, 7128, 11464, 543, 513, 4387, 267, 1010, 4651, 4667, 547, 5855, 827, 1010, 5067, 585, 519, 1101, 942, 538, 1010, 1272, 269, 634, 3209, 7475, 609, 519, 7911, 9991, 18069, 25356, 569, 563, 275, 269, 14740, 538, 11910, 621, 12619, 454, 21837, 267, 519, 16502, 540, 11910, 621, 12619, 267, 9428, 909, 538, 606, 1604, 540, 1114, 9163, 799, 681, 1054, 5932, 998, 519, 6014, 14940, 543, 4984, 593, 519, 835, 1688, 267, 998, 4654, 543, 4683, 2833, 593, 519, 824, 1688, 269, 901, 3184, 786, 5659, 519, 1114, 21384, 540, 3961, 4330, 538, 519, 3209, 563, 275, 269, 272, 6014, 11082, 538, 1715, 3840, 454, 27001, 519, 1296, 476, 6245, 280, 543, 476, 4572, 275, 3592, 1079, 2929, 6014, 11082, 9411, 519, 2136, 2276, 540, 3013, 269, 630, 294, 629, 3147, 807, 476, 9610, 4700, 681, 1054, 729, 835, 540, 873, 543, 865, 729, 519, 535, 1112, 633, 2480, 515, 22611, 1920, 538, 1010, 3209, 11910, 621, 12619, 269, 6014, 11082, 941, 5631, 15076, 689, 8109, 2342, 267, 2523, 6576, 630, 294, 629, 3147, 807, 476, 15221, 1040, 1358, 19679, 689, 606, 4550, 4149, 655, 12792, 1604, 538, 799, 789, 941, 24193, 547, 1378, 2244, 543, 7142, 547, 6443, 519, 6739, 7952, 269, 2311, 519, 4098, 540, 519, 476, 736, 628, 2540, 267, 1896, 533, 690, 668, 338, 519, 4250, 540, 2797, 31989, 540, 7642, 538, 6576, 3361, 1776, 5951, 540, 11776, 267, 2523, 547, 3013, 630, 291, 27903, 7322, 267, 543, 1234, 574, 619, 269, 5780, 1916, 763, 11082, 14612, 936, 519, 9533, 538, 5458, 9252, 2692, 1846, 543, 9411, 519, 2136, 2276, 3842, 32762, 6816, 269, 4107, 540, 519, 6014, 11082, 2705, 7283, 538, 1715, 3840, 267, 1141, 519, 968, 314, 2507, 316, 865, 10777, 15399, 1144, 7642, 945, 1185, 8452, 4505, 689, 5125, 543, 3844, 2342, 31218, 892, 1185, 2907, 3964, 513, 6014, 2146, 269, 8409, 7642, 945, 2451, 519, 4683, 1604, 547, 2661, 538, 519, 24781, 968, 314, 2507, 316, 1705, 711, 723, 513, 2929, 13807, 639, 4295, 5554, 542, 1235, 547, 1489, 513, 2407, 543, 17031, 2146, 1272, 892, 543, 4130, 2950, 968, 314, 2507, 316, 3274, 1223, 711, 1683, 519, 2686, 543, 3872, 3255, 607, 1134, 607, 519, 6014, 2631, 540, 2146, 865, 1898, 547, 891, 7532, 3864, 30226, 619, 892, 630, 291, 27903, 7322, 267, 543, 1234, 574, 619, 476, 6858, 1916, 1103, 4334, 547, 7969, 11082, 945, 2451, 2342, 968, 1721, 519, 1034, 851, 2192, 30185, 543, 5667, 330, 2683, 892, 630, 291, 27903, 7322, 267, 543, 1234, 574, 619, 476, 6872, 1070, 519, 5354, 540, 1118, 6014, 11082, 1223, 581, 968, 5035, 1881, 607, 9952, 4600, 892, 630, 291, 27903, 7322, 267, 543, 1234, 574, 619, 476, 6872, 1040, 4107, 540, 873, 3323, 2324, 538, 28630, 15327, 610, 865, 10777, 2048, 338, 933, 1846, 10914, 685, 630, 306, 528, 514, 476, 6795, 1070, 24284, 1141, 11082, 5249, 896, 1360, 3983, 2175, 585, 1970, 13848, 269, 898, 7012, 1406, 8966, 602, 513, 1007, 11832, 1185, 547, 2628, 585, 1010, 7694, 610, 968, 13195, 9277, 547, 960, 1079, 4374, 585, 4986, 31218, 892, 630, 306, 528, 514, 476, 6872, 1040, 634, 14226, 540, 9241, 8452, 11082, 729, 1455, 1870, 3609, 269, 7201, 971, 6381, 519, 1249, 602, 15751, 2480, 515, 22611, 2115, 513, 3476, 1974, 540, 942, 547, 1265, 606, 3617, 7694, 607, 513, 10683, 9920, 593, 1010, 1378, 3587, 10250, 762, 563, 268, 2372, 1774, 1957, 454, 268, 25328, 22186, 541, 2088, 661, 1457, 630, 12041, 1070, 476, 1001, 271, 267, 8361, 681, 1054, 834, 24445, 621, 3207, 257, 910, 606, 5811, 267, 22540, 267, 16998, 2562, 7638, 25419, 267, 4179, 2517, 4178, 3052, 12541, 2593, 7933, 17805, 270, 14378, 4817, 280, 0, 5327, 32606, 875, 547, 1374, 543, 1628, 519, 4518, 2006, 16353, 31584, 269, 901, 20716, 6417, 3760, 2934, 476, 275, 1790, 19991, 3760, 7387, 267, 476, 279, 16357, 5397, 14743, 267, 543, 1079, 1164, 2389, 528, 4302, 21431, 268, 613, 541, 16546, 269, 16503, 6233, 875, 547, 27043, 519, 2048, 15318, 1210, 2653, 547, 1265, 2694, 269, 476, 2764, 3817, 540, 1344, 3823, 3760, 4070, 267, 5179, 10380, 267, 5925, 31092, 22812, 576, 1853, 267, 543, 5907, 17120, 269, 22291, 2694, 8638, 543, 28176, 269, 3117, 1235, 540, 2143, 1257, 543, 2681, 6337, 538, 14103, 3898, 602, 666, 581, 10268, 543, 9102, 689, 707, 11422, 269, 32577, 2975, 853, 2086, 1843, 3009, 849, 3769, 267, 4712, 585, 15205, 547, 513, 3474, 718, 1314, 29172, 272, 853, 2086, 563, 2791, 949, 849, 899, 912, 1103, 713, 3992, 267, 649, 3136, 593, 609, 2870, 513, 4604, 1374, 609, 519, 28176, 649, 2813, 538, 519, 2063, 1896, 4245, 269, 1284, 786, 3382, 1862, 0, 7883, 532, 7982, 547, 2836, 328, 256, 5901, 10289, 4347, 11367, 256, 16376, 12475, 334, 2478, 689, 513, 9212, 6371, 2627, 2073, 6366, 4224, 2073, 6405, 689, 513, 26745, 269, 5565, 28849, 616, 3622, 6444, 269, 32202, 18857, 1249, 9212, 269, 3776, 3896, 2488, 1569, 547, 23291, 2030, 267, 5726, 267, 2073, 3662, 18915, 1344, 2200, 269, 670, 16636, 3724, 12475, 18857, 269, 4325, 1188, 1194, 268, 22087, 331, 6016, 268, 32202, 18857, 268, 5517, 268, 16847, 563, 18744, 519, 3979, 838, 13899, 12475, 18857, 568, 1249, 3677, 269, 4658, 540, 519, 19164, 269, 32202, 18857, 13317, 20180, 832, 568, 606, 5092, 9614, 21751, 538, 7396, 1648, 9541, 269, 769, 930, 2694, 540, 5607, 16015, 616, 2808, 513, 29535, 2329, 2073, 10122, 9212, 568, 513, 2462, 1966, 585, 1082, 12475, 18857, 14854, 2249, 538, 519, 3552, 269, 2274, 16985, 32202, 18857, 630, 853, 10176, 28970, 569, 338, 1496, 2983, 665, 3559, 821, 316, 533, 731, 23653, 264, 634, 682, 16985, 12475, 18857, 568, 519, 2034, 4102, 12475, 18857, 5065, 547, 4000, 563, 293, 880, 17039, 267, 3345, 10491, 267, 11908, 267, 8419, 267, 17896 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

[ 0, 2421, 4024, 267, 476, 279, 2918, 332, 747, 10247, 454, 288, 2875, 4337, 1149, 1272, 538, 519, 2104, 563, 2421, 7917, 267, 476, 279, 2918, 6224, 296, 454, 288, 6648, 602, 7710, 519, 9620, 540, 9553, 4600, 563, 2421, 1234, 577, 629, 570, 1421, 476, 279, 2918, 17584, 454, 1607, 6648, 3217, 513, 30642, 1935, 547, 10503, 513, 6429, 563, 2421, 3223, 10042, 267, 476, 279, 2918, 332, 747, 10247, 454, 2304, 834, 296, 589, 3245, 257, 6648, 269, 2296, 543, 5053, 8747, 3769, 563, 2421, 13966, 330, 1941, 267, 476, 279, 2918, 1715, 20252, 454, 1103, 713, 6571, 6273, 676, 519, 834, 25147, 25126, 257, 3992, 543, 14295, 3019, 8416, 1650, 4580, 267, 649, 1451, 602, 7429, 729, 29422, 10733, 332, 625, 267, 972, 568, 1100, 1163, 19418, 4266, 585, 1818, 993, 1742, 563, 2421, 808, 2131, 11535, 267, 476, 279, 2918, 11785, 454, 288, 2875, 9356, 593, 1018, 621, 3217, 547, 1796, 909, 547, 13032, 625, 543, 3717, 909, 585, 1866, 563, 2421, 10793, 267, 6103, 476, 276, 267, 476, 279, 2918, 1715, 20252, 454, 1103, 713, 13973, 267, 513, 2875, 8843, 1614, 2312, 3527, 547, 1796, 909, 547, 13032, 625, 563, 2421, 19869, 1731, 629, 597, 267, 2085, 476, 279, 267, 476, 279, 2918, 9049, 303, 454, 1607, 6648, 3096, 519, 476, 272, 560, 1268, 1448, 6361, 268, 1613, 547, 1397, 1018, 1272, 5654, 899, 585, 513, 16025, 678, 25114, 333, 820, 563, 2421, 24898, 267, 476, 279, 2918, 332, 747, 10247, 454, 288, 1360, 3621, 1427, 2454, 540, 1946, 17878, 4682, 17255, 563, 2421, 2997, 320, 570, 817, 514, 926, 267, 476, 279, 2918, 11785, 454, 288, 11648, 10071, 593, 519, 1153, 1668, 621, 2583, 922, 1259, 856, 563, 2421, 15011, 3139, 674, 1421, 476, 279, 2918, 9049, 303, 454, 1607, 6648, 3096, 10855, 1893, 547, 4734, 519, 5467, 10881, 827, 519, 3662, 621, 568, 18995, 563, 2421, 22398, 529, 267, 476, 279, 2918, 29369, 290, 454, 4002, 519, 4541, 9370, 267, 2098, 4141, 1590, 14710, 519, 27459, 650, 664, 2098, 17789, 1941, 547, 1285, 3188, 1200, 1920, 256, 27016, 1765, 13195, 621, 782, 513, 5326, 888, 2421, 24006, 267, 476, 279, 2918, 29369, 290, 454, 288, 2875, 9356, 593, 741, 2833, 609, 11648, 543, 875, 789, 3580, 1491, 513, 1796, 538, 519, 2104, 563, 2421, 2274, 12858, 267, 476, 279, 2918, 29369, 290, 454, 2304, 5169, 1650, 585, 2635, 1426, 267, 5473, 606, 12473, 6370, 1063, 1625, 3272, 528, 540, 1164, 1922, 28229, 8970, 21360, 267, 30370, 31780, 267, 543, 513, 24123, 6512, 540, 22730, 563, 2421, 15310, 9874, 267, 476, 279, 2918, 332, 747, 10247, 454, 288, 1592, 6648, 827, 513, 4190, 4055, 543, 513, 4190, 1920, 538, 1312, 2296, 543, 5053, 563, 2421, 8575, 807, 590, 8986, 267, 476, 279, 2918, 332, 747, 10247, 454, 1607, 2875, 6257, 3078, 1919, 519, 2104, 786, 3142, 267, 899, 6173, 2209, 602, 666, 3914, 2230, 2336, 2421, 2506, 28609, 267, 476, 279, 2918, 17584, 454, 288, 2123, 2239, 827, 513, 13035, 1101, 8289, 532, 1063, 14552, 593, 513, 1920, 7552, 547, 4432, 30571, 563, 2421, 5681, 11535, 267, 476, 279, 2918, 9049, 303, 454, 1607, 6648, 3096, 12746, 625, 547, 4766, 1114, 3615, 519, 5856, 1131, 899, 547, 581, 563, 2421, 23723, 320, 267, 476, 279, 2918, 29369, 290, 454, 2304, 834, 296, 2549, 3245, 257, 15705, 1268, 320, 6648, 563, 2421, 26056, 267, 476, 279, 2918, 6224, 296, 454, 2704, 1329, 28749, 543, 513, 1762, 7911, 585, 613, 513, 11505, 936, 513, 10565, 3126, 540, 2621, 563, 2421, 4432, 1014, 632, 15182, 267, 476, 279, 2918, 29369, 290, 454, 288, 6648, 602, 6212, 593, 2681, 543, 18922, 621, 883, 10444, 3877, 563, 2421, 589, 569, 1087, 320, 267, 24910, 267, 29775, 822, 334, 267, 11835, 576, 14979, 267, 543, 28792, 267, 476, 279, 2918, 6369, 454, 1103, 2257, 1362, 267, 15117, 519, 631, 4842, 648, 2306, 1187, 540, 2961, 5055, 519, 654, 3558, 585, 1210, 9059, 267, 543, 513, 1906, 676, 1056, 619, 1900, 538, 547, 1491, 513, 1796, 1996, 11648, 563, 292, 3149, 773, 267, 476, 279, 2918, 1715, 20252, 454, 1103, 713, 6648, 267, 513, 2875, 22842, 23141, 563, 2421, 22398, 529, 267, 476, 279, 2918, 332, 747, 10247, 454, 1607, 2875, 6257, 1018, 621, 1131, 581, 899, 547, 1831, 519, 1101, 4775, 7022, 267, 5859, 532, 593, 2069, 585, 782, 267, 3659, 17067, 8456, 267, 811, 1426, 543, 8027, 267, 543, 6777, 2395, 2336, 2421, 595, 3559, 22855, 267, 476, 279, 2918, 29369, 290, 454, 2304, 27268, 2987, 743, 1441, 2875, 10596, 593, 741, 5172, 4388, 585, 2348, 1187, 1354, 11359, 3446, 6238, 563, 2421, 1234, 13433, 267, 476, 279, 2918, 29369, 290, 454, 288, 3860, 2361, 3391, 547, 519, 9456, 12457, 29160, 563, 2421, 19664, 4469, 2803, 966, 1794, 4302, 345, 267, 476, 279, 2918, 4406, 16780, 807, 454, 1607, 6648, 14550, 519, 7145, 540, 10855, 1893, 563, 2421, 772, 2742, 267, 476, 279, 2918, 29369, 290, 454, 288, 18854, 1399, 1305, 540, 18174, 16513, 4584, 1575, 3515, 563, 2421, 8277, 1467, 267, 476, 279, 2918, 17584, 454, 288, 2123, 2239, 827, 513, 12322, 773, 267, 6263, 3787, 540, 30983, 585, 513, 1007, 4816, 11078, 7432, 883, 2648, 563, 2421, 7917, 267, 476, 279, 2918, 6224, 296, 454, 288, 4015, 540, 688, 1731, 639, 17364, 2835, 543, 14421, 1108, 563, 2421, 24910, 267, 476, 279, 2918, 6369, 454, 288, 4484, 689, 519, 2278, 547, 519, 2278, 593, 19825, 1312, 519, 23349, 543, 6671, 2694, 540, 13951, 563, 2421, 6660, 334, 267, 476, 279, 2918, 29369, 290, 454, 288, 3860, 5169, 1650, 538, 799, 513, 27732, 8195, 5932, 1272, 543, 7350, 538, 513, 1982, 563, 2421, 595, 1446, 662, 267, 476, 279, 2918, 6369, 454, 288, 4484, 5356, 513, 13801, 2943, 8903, 1592, 540, 782, 602, 19179, 1080, 538, 15829, 563, 2421, 23723, 320, 267, 476, 279, 2918, 29369, 290, 454, 1103, 713, 6648, 267, 513, 2875, 7710, 1312, 519, 2938, 543, 31305, 7060, 540, 513, 15705, 563, 2421, 3223, 10042, 590, 20166, 1421, 476, 279, 2918, 332, 747, 10247, 454, 2304, 968, 296, 2549, 3245, 892, 6648, 827, 3395, 909, 538, 24354, 563, 2421, 13669, 807, 267, 476, 279, 2918, 29369, 290, 454, 288, 3860, 2361, 3391, 547, 7256, 2913, 21949, 563, 2421, 2806, 19734, 553, 597, 267, 476, 279, 2918, 9049, 303, 454, 1607, 6648, 8843, 1018, 2576, 1522, 1995, 593, 19343, 563, 2421, 808, 531, 523, 267, 476, 279, 2918, 29369, 290, 454, 288, 3126, 540, 15705, 688, 30884, 6273, 676, 4702, 5728, 561, 4202, 563, 2421, 6428, 2742, 267, 6103, 476, 276, 267, 476, 279, 2918, 11785, 454, 288, 2875, 19595, 9887, 540, 519, 1082, 2081, 1352, 31438, 454, 2421, 715, 7614, 773, 267, 476, 279, 2918, 4406, 16780, 807, 454, 288, 11600, 585, 875, 547, 1711, 513, 19416, 986, 3899, 563, 2421, 22189, 5211, 320, 18937, 541, 549, 267, 476, 279, 2918, 4406, 16780, 807, 454, 1607, 6648, 22842, 543, 22378, 985, 513, 512, 23147, 563, 2421, 8841, 267, 476, 279, 2918, 4406, 16780, 807, 454, 2304, 522, 1372, 547, 2142, 753, 267, 19676, 267, 543, 26560, 563, 2421, 674, 9820, 320, 267, 2085, 476, 280, 267, 476, 279, 2918, 9049, 303, 454, 1607, 6648, 11339, 689, 519, 5133, 540, 513, 16217, 21961, 1744, 17415, 10060, 8768, 267, 24223, 513, 1554, 538, 922, 1272, 563, 2421, 10548, 520, 9567, 773, 267, 476, 279, 2918, 17584, 454, 288, 2875, 8843, 8823, 540, 28006, 689, 717, 25995, 547, 513, 1007, 1753, 538, 519, 2136, 2276, 267, 2347, 609, 513, 6777, 344, 7237, 563, 2421, 962, 732, 569, 267, 476, 279, 2918, 332, 747, 10247, 454, 288, 6648, 827, 6264, 2742, 269, 2296, 543, 5053, 8747, 3769, 563, 2421, 30546, 267, 476, 279, 2918, 6224, 296, 454, 763, 1650, 540, 513, 10715, 1765, 32173, 958, 563, 2421, 700, 559, 10005, 267, 476, 279, 2918, 17584, 454, 1607, 2875, 779, 2295, 12577, 2123, 2239, 6257, 1018, 621, 666, 1745, 899, 547, 723, 707, 3237, 1205, 32682, 1027, 563, 2421, 966, 14489, 320, 267, 476, 279, 2918, 6224, 296, 454, 288, 20599, 781, 6296, 7552, 585, 27966, 26889, 5820, 2164, 538, 513, 7745, 6186, 2336, 2421, 962, 15756, 17844, 267, 476, 279, 2918, 6369, 454, 1103, 713, 6571, 6273, 676, 519, 834, 25147, 25126, 257, 3992, 543, 14295, 3019, 8416, 1650, 4580, 267, 649, 1451, 875, 513, 15826, 9983, 666, 6505, 523, 513, 3659, 781, 1554, 563, 2421, 27118, 267, 476, 279, 2918, 17584, 454, 288, 2875, 16137, 606, 1271, 3992, 827, 9363, 9350, 1247, 22281, 532, 513, 7552, 547, 29106, 12567, 602, 3303, 4705, 856, 540, 1852, 2336, 2421, 5981, 320, 267, 476, 279, 2918, 332, 747, 10247, 454, 288, 6648, 602, 16919, 899, 14723, 18223, 16741, 563, 2421, 3057, 1723, 267, 476, 279, 2918, 6369, 454, 288, 5496, 2452, 827, 513, 7077, 16154, 543, 606, 12473, 3460, 547, 6792, 267, 609, 513, 6335, 2336, 2421, 631, 1229, 603, 267, 476, 279, 2918, 332, 747, 10247, 454, 288, 6648, 827, 8608, 13355, 9909, 563, 2421, 700, 2088, 267, 476, 279, 2918, 4406, 16780, 807, 454, 288, 3765, 2151, 31773, 11600, 10912, 585, 476, 274, 26486, 540, 17711, 267, 476, 1015, 17529, 540, 711, 28617, 267, 543, 476, 1911, 17529, 540, 3993, 563, 2421, 16653, 328, 700, 1421, 476, 279, 2918, 17584, 454, 1103, 713, 6648, 267, 519, 2278, 11828, 741, 8129, 998, 14165, 563, 2421, 654, 842, 320, 267, 476, 279, 2918, 17584, 454, 288, 13801, 855, 1898, 1592, 540, 6668, 4388, 538, 519, 2680, 540, 513, 6653, 9568, 563, 2421, 18238, 267, 476, 279, 2918, 6224, 296, 454, 1607, 2875, 22281, 338, 513, 14070, 10004, 609, 6723, 6115, 827, 519, 1977, 7169, 936, 513, 7594, 563, 2421, 715, 7614, 807, 267, 476, 279, 2918, 6224, 296, 454, 288, 1650, 5143, 676, 1200, 22516, 5012, 5975, 1399, 593, 513, 3460, 1141, 5708, 543, 4641, 2458, 728, 563, 2421, 3244, 821, 267, 476, 279, 2918, 332, 747, 10247, 454, 288, 6648, 827, 19825, 4054, 543, 1946, 649, 1058, 1353, 873, 563, 2421, 9986, 14746, 267, 476, 279, 2918, 29369, 290, 454, 2304, 1605, 4445, 585, 8970, 563, 2421, 661, 327, 1889, 569, 267, 476, 279, 2918, 6224, 296, 454, 288, 2629, 4413, 633, 585, 4896, 4730, 513, 1164, 3613, 1389, 3014, 540, 834, 295, 728, 543, 16418, 8487, 2421, 6428, 574, 520, 537, 267, 476, 279, 2918, 29369, 290, 454, 29310, 267, 513, 27959, 609, 2706, 335, 10183, 543, 606, 29152, 2389, 29354, 20933, 330, 1157, 1590, 4688, 519, 4622, 543, 15596, 540, 10806, 2311, 541, 3821, 2336, 2421, 595, 3511, 534, 267, 476, 279, 2918, 29369, 290, 454, 288, 3860, 2361, 3391, 547, 513, 631, 712, 940, 1849, 334, 752, 18173, 945, 2729, 538, 1715, 3840, 4975, 563, 2421, 18581, 267, 476, 279, 2918, 11785, 454, 11900, 18944, 676, 11518, 20943, 2284, 781, 4144, 776, 540, 513, 654, 574, 6853, 17718, 267, 713, 4062, 3568, 513, 3126, 540, 4760, 13366, 543, 3652, 585, 513, 1007, 7328, 676, 535, 1112, 25875, 8331, 1766, 894, 32652, 590, 2466, 1399, 563, 2421, 21322, 267, 476, 279, 2918, 6224, 296, 454, 288, 24564, 3957, 27991, 2917, 17990, 519, 2831, 540, 519, 4104, 689, 606, 9409, 9457, 2336, 2421, 10878, 23449, 267, 476, 279, 2918, 332, 747, 10247, 454, 288, 630, 2865, 569, 264, 2648, 4484, 547, 513, 737, 12685, 328, 609, 8949, 11052, 563, 2421, 21142, 267, 476, 279, 2918, 17584, 454, 1607, 6648, 6257, 519, 4555, 540, 14000, 563, 2421, 645, 2001, 534, 700, 10044, 267, 476, 279, 2918, 332, 747, 10247, 454, 1103, 713, 6648, 267, 513, 2875, 12667, 569, 22281, 338, 8384, 634, 7201, 339, 6033, 1685, 513, 15040, 669, 10280, 4594, 593, 654, 6135, 548, 10048, 807, 269, 18838, 538, 5053, 543, 2296, 563, 2421, 700, 8160, 1421, 476, 279, 2918, 6224, 296, 454, 763, 1650, 540, 513, 24949, 15293, 3957, 7788, 9278, 267, 513, 1544, 547, 32043, 777, 1453, 593, 19343, 267, 543, 606, 12691, 7237, 602, 8761, 519, 3020, 2470, 540, 11505, 563, 2421, 4432, 6511, 267, 476, 279, 2918, 332, 747, 10247, 454, 1320, 9722, 540, 22216, 787, 3213, 651, 9067, 17953, 267, 2146, 267, 543, 15472, 267, 713, 15669, 22842, 1272, 689, 741, 4395, 588, 17274, 563, 2421, 4168, 267, 476, 279, 2918, 1715, 20252, 454, 1607, 6648, 3096, 1268, 2305, 547, 6338, 519, 5304, 547, 606, 14462, 543, 922, 23013, 267, 11518, 563, 2421, 667, 7469, 928, 267, 476, 279, 2918, 4406, 16780 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

[ 277, 476, 278, 269, 9502, 476, 272, 269, 1704, 634, 1305, 540, 2009, 2418, 585, 513, 4351, 4756, 568, 5219, 607, 513, 2039, 540, 320, 4351, 4756, 269, 7078, 476, 272, 269, 1321, 6333, 519, 1739, 6901, 540, 4351, 4632, 267, 5581, 519, 12690, 4756, 267, 2697, 519, 2039, 585, 1142, 4351, 4756, 267, 543, 19665, 621, 607, 15768, 610, 11666, 6681, 269, 476, 272, 269, 16212, 513, 11777, 476, 273, 269, 19184, 513, 5884, 2394, 513, 476, 277, 5526, 476, 274, 269, 2298, 14791, 540, 513, 695, 3612, 540, 14475, 3688, 269, 476, 275, 269, 12625, 540, 6075, 547, 513, 4871, 14240, 476, 272, 269, 1240, 2913, 581, 519, 4351, 2230, 585, 930, 4351, 4603, 269, 1280, 1022, 2680, 3698, 1441, 593, 2073, 2398, 3890, 568, 513, 1599, 799, 3651, 338, 513, 1297, 547, 519, 2680, 269, 2398, 10490, 264, 568, 1572, 519, 22238, 1464, 540, 2680, 589, 3177, 519, 1739, 2175, 3180, 281, 263, 320, 7565, 321, 7565, 322, 264, 23536, 1464, 568, 1031, 547, 22945, 519, 10171, 267, 610, 4960, 267, 602, 606, 2680, 786, 2049, 609, 842, 515, 3732, 2230, 269, 476, 278, 476, 279, 269, 24269, 513, 3732, 5161, 540, 715, 2009, 4093, 2073, 519, 5506, 540, 1142, 6364, 568, 272, 21610, 31628, 332, 476, 272, 269, 278, 17438, 32492, 16390, 4131, 589, 543, 645, 2621, 3989, 593, 513, 3732, 2230, 2073, 543, 1577, 2715, 288, 272, 267, 589, 273, 267, 2073, 1323, 348, 581, 513, 4015, 1993, 2621, 3989, 593, 1547, 3973, 5416, 7565, 321, 7565, 322, 7565, 323, 7565, 324, 7565, 325, 264, 17357, 3326, 776, 476, 272, 269, 272, 5742, 540, 8422, 610, 2859, 15638, 4131, 589, 267, 645, 267, 595, 543, 667, 581, 2621, 3989, 593, 513, 3732, 2230, 1547, 3973, 267, 7468, 263, 589, 645, 595, 3738, 815, 2398, 263, 589, 264, 1341, 2398, 263, 645, 3738, 1341, 2398, 18154, 3738, 2398, 263, 589, 645, 3738, 2398, 263, 589, 595, 3738, 2398, 263, 645, 595, 3738, 1341, 2398, 263, 589, 645, 595, 3738, 663, 7468, 263, 589, 645, 595, 667, 3738, 815, 2398, 263, 589, 264, 1341, 2398, 263, 645, 264, 1341, 2398, 18154, 3738, 1341, 2398, 263, 667, 264, 2398, 263, 589, 645, 264, 2398, 263, 589, 595, 3738, 2398, 263, 589, 667, 3738, 2398, 263, 645, 595, 3738, 2398, 263, 645, 667, 264, 2398, 18154, 667, 264, 1341, 2398, 263, 589, 645, 595, 3738, 1341, 2398, 263, 589, 645, 667, 264, 1341, 2398, 263, 645, 595, 667, 264, 1341, 2398, 263, 589, 645, 595, 667, 3738, 7078, 476, 272, 269, 1556, 2913, 589, 267, 645, 543, 595, 581, 2621, 3989, 593, 513, 3732, 2230, 2398, 10490, 264, 815, 476, 271, 269, 1789, 7468, 16360, 322, 264, 815, 476, 271, 269, 2568, 7468, 18154, 264, 815, 476, 271, 269, 736, 7468, 10490, 645, 264, 815, 476, 271, 269, 2004, 7468, 263, 645, 595, 3738, 815, 476, 271, 269, 4962, 288, 543, 595, 616, 20102, 12600, 15253, 1393, 519, 1739, 17831, 5416, 264, 2398, 16360, 264, 476, 279, 476, 280, 269, 630, 321, 264, 2398, 263, 645, 595, 3738, 815, 630, 322, 264, 2398, 263, 589, 645, 3738, 630, 323, 264, 2398, 263, 589, 595, 3738, 630, 324, 264, 2398, 263, 589, 595, 3738, 630, 325, 264, 2398, 263, 645, 595, 524, 3738, 630, 326, 264, 2398, 263, 589, 645, 595, 3738, 815, 272, 269, 274, 14412, 10521, 2621, 616, 4830, 952, 1022, 835, 540, 519, 1739, 6697, 6898, 568, 3020, 476, 280, 476, 1015, 269, 630, 272, 264, 623, 10490, 21270, 264, 815, 623, 10490, 264, 630, 273, 264, 623, 16360, 24820, 264, 815, 623, 16360, 264, 630, 274, 264, 623, 630, 589, 645, 3738, 815, 623, 630, 589, 264, 623, 630, 645, 3738, 7151, 476, 273, 269, 3066, 630, 1504, 960, 538, 1362, 264, 272, 269, 275, 16448, 531, 17438, 14240, 476, 272, 269, 866, 269, 2913, 589, 543, 645, 2621, 5581, 593, 513, 3732, 2230, 645, 1547, 1284, 3277, 547, 7468, 10490, 21270, 264, 607, 519, 19585, 5506, 540, 2680, 2016, 519, 12136, 540, 2680, 645, 267, 1141, 7468, 263, 8028, 1923, 645, 264, 815, 22238, 1464, 540, 711, 589, 2016, 645, 476, 1015, 476, 1556, 269, 4063, 602, 2398, 10490, 21270, 322, 264, 476, 272, 6261, 337, 10490, 21270, 264, 7078, 476, 272, 269, 1321, 288, 19202, 5663, 9744, 568, 6417, 538, 513, 6073, 971, 602, 476, 273, 260, 540, 2006, 3011, 3293, 13365, 616, 16271, 547, 1164, 2157, 540, 12526, 269, 1403, 513, 13863, 568, 16271, 547, 14683, 2157, 540, 12526, 267, 972, 568, 513, 476, 1321, 260, 4960, 602, 621, 786, 3111, 4152, 269, 1548, 568, 519, 22238, 1464, 602, 513, 13863, 568, 16271, 547, 1164, 2157, 540, 12526, 543, 14543, 2390, 4255, 286, 322, 284, 325, 284, 7468, 263, 11947, 524, 1377, 264, 815, 7468, 263, 293, 841, 1923, 1164, 524, 1377, 264, 815, 7468, 263, 15598, 264, 815, 7078, 476, 272, 269, 1724, 2304, 2011, 2298, 1449, 568, 2966, 547, 3713, 519, 4527, 540, 1079, 6675, 630, 332, 1961, 9908, 476, 272, 543, 332, 1961, 9908, 476, 273, 1040, 476, 1704, 260, 540, 782, 5439, 2270, 1312, 6675, 267, 543, 476, 4366, 260, 540, 782, 5439, 2270, 332, 1961, 9908, 476, 272, 269, 1403, 513, 3732, 3568, 11140, 476, 272, 267, 1018, 568, 519, 5506, 602, 621, 849, 3568, 332, 1961, 9908, 476, 273, 286, 300, 272, 815, 11140, 476, 272, 300, 273, 815, 11140, 476, 273, 7468, 29687, 272, 300, 273, 264, 815, 7468, 29687, 272, 264, 815, 7468, 29687, 273, 23277, 272, 264, 815, 31628, 332, 476, 272, 269, 279, 16544, 540, 16448, 531, 17438, 4131, 589, 543, 645, 581, 1875, 268, 24105, 2680, 3989, 593, 513, 3732, 2230, 1547, 3973, 630, 320, 264, 1403, 589, 543, 645, 616, 20102, 12600, 1287, 2398, 10490, 21270, 264, 815, 476, 271, 630, 321, 264, 1403, 589, 645, 1287, 2398, 10490, 21270, 264, 285, 284, 7468, 10490, 264, 1556, 476, 1321, 269, 630, 322, 264, 1403, 645, 589, 1287, 2398, 10490, 21270, 264, 815, 272, 31628, 332, 476, 272, 269, 280, 4521, 540, 11192, 17438, 3487, 476, 272, 4131, 589, 543, 645, 581, 2621, 3989, 593, 513, 3732, 2230, 589, 2073, 645, 2073, 645, 322, 1547, 3973, 7078, 476, 272, 269, 1428, 288, 1978, 6191, 2773, 666, 581, 6353, 676, 519, 2298, 540, 513, 1883, 5057, 269, 11463, 260, 540, 6191, 609, 513, 26843, 1883, 5057, 786, 3111, 269, 24641, 1152, 476, 272, 260, 540, 332, 778, 1149, 530, 328, 0, 258, 8249, 692, 2108, 291, 3496, 892, 512, 11804, 548, 538, 4642, 575, 1107, 13772, 513, 3381, 540, 513, 570, 11804, 548, 607, 621, 29226, 827, 922, 13591, 7852, 267, 4929, 519, 10047, 547, 581, 18633, 269, 630, 2304, 1843, 602, 30809, 827, 922, 13074, 610, 20125, 7852, 568, 7123, 267, 10047, 2059, 519, 13591, 7852, 568, 18633, 24355, 291, 528, 18333, 8621, 650, 15072, 8095, 1107, 13772, 607, 16910, 18333, 8621, 650, 6238, 18343, 7444, 543, 11250, 909, 950, 1352, 11081, 1200, 16070, 24880, 269, 901, 9727, 519, 5726, 540, 16070, 11610, 780, 258, 1912, 4953, 21344, 2920, 29896, 692, 2521, 547, 1832, 513, 11573, 538, 3666, 676, 11093, 3688, 540, 1114, 13999, 693, 1114, 6753, 2476, 689, 519, 3505, 322, 5300, 269, 901, 11191, 568, 12286, 538, 519, 24364, 5163, 2978, 538, 11682, 312, 10485, 268, 8099, 271, 780, 258, 1912, 4953, 32322, 543, 2107, 23605, 29896, 692, 8450, 1018, 4523, 547, 1298, 686, 7065, 531, 3196, 543, 8126, 1113, 6991, 10321, 607, 596, 1404, 1472, 609, 519, 13999, 540, 513, 5182, 543, 922, 4541, 780, 258, 11473, 3690, 5296, 692, 15916, 972, 256, 8080, 547, 11000, 476, 279, 281, 24364, 5163, 2439, 305, 582, 1049, 5163, 568, 782, 827, 1919, 602, 267, 1134, 267, 17967, 256, 1924, 2484, 267, 938, 4901, 814, 1044, 5059, 593, 6037, 1049, 5163, 281, 5163, 2059, 513, 2786, 1899, 269, 1809, 6037, 1049, 5163, 666, 1406, 948, 721, 547, 1174, 1919, 899, 17919, 14743, 267, 6367, 1782, 11084, 267, 4137, 1236, 11596, 267, 4412, 25527, 267, 610, 1256, 519, 5163, 540, 6801, 543, 10785, 269, 1284, 991, 1007, 2035, 547, 948, 721, 1174, 24364, 5163, 780, 10376, 540, 519, 1739, 2035, 786, 581, 5941, 538, 713, 3381, 281, 24364, 3432, 267, 8126, 1113, 6991, 267, 24364, 10231, 267, 24364, 24880, 267, 18165, 267, 4099, 540, 2527, 267, 6617, 267, 16070, 11610, 267, 1298, 686, 7065, 531, 3196, 267, 543, 1298, 686, 7065, 531, 10231, 780, 1012, 15585, 1049, 3432, 692, 305, 582, 1049, 3432, 6645, 721, 875, 3533, 630, 528, 7444, 264, 1945, 29226, 827, 606, 7852, 269, 1109, 763, 3090, 585, 24364, 3432, 568, 519, 27608, 5259, 4484, 15060, 267, 799, 5654, 899, 513, 2695, 580, 16744, 530, 269, 1703, 616, 1082, 1114, 4559, 602, 649, 1223, 946, 585, 24364, 3432, 267, 4470, 593, 875, 649, 1616, 547, 2268, 513, 10047, 780, 3080, 1259, 649, 666, 2268, 24364, 3432, 568, 676, 8159, 875, 1082, 32186, 267, 610, 26201, 267, 606, 1843, 2306, 538, 606, 8884, 540, 942, 780, 21156, 267, 649, 666, 946, 5232, 607, 513, 2268, 540, 24364, 5163, 269, 15585, 1049, 3432, 1131, 4061, 2268, 875, 1082, 5232, 606, 1843, 29226, 538, 606, 8884, 540, 942, 269, 1703, 616, 476, 11740, 5232, 538, 835, 2407, 10047, 780, 7661, 267, 649, 666, 946, 32494, 607, 513, 2268, 540, 24364, 5163, 269, 15585, 1049, 3432, 1131, 4061, 2268, 875, 1082, 32494, 606, 1843, 29226, 538, 606, 8884, 540, 942, 269, 1703, 616, 476, 273, 14039, 32494, 538, 835, 2407, 10047, 780, 11997, 267, 4559, 585, 24364, 3432, 666, 1331, 281, 26201, 829, 8792, 267, 5232, 829, 2034, 267, 610, 32494, 829, 2034, 780, 4131, 779, 1491, 513, 1413, 693, 606, 1383, 780, 288, 2520, 739, 566, 776, 9682, 25057, 519, 3047, 693, 513, 3845, 971, 602, 621, 5526, 711, 547, 1847, 609, 2463, 547, 3615, 593, 519, 2666, 269, 1323, 20626, 7555, 2047, 18284, 519, 9682, 1131, 711, 581, 2111, 547, 1294, 1022, 5163, 540, 602, 9682, 780, 2171, 666, 5173, 519, 24364, 3432, 540, 513, 2520, 739, 566, 776, 9682, 267, 6616, 602, 621, 2306, 513, 2347, 10739, 540, 519, 3047, 1169, 476, 2190, 3108, 269, 5221, 476, 2190, 3108, 568, 3160, 547, 476, 272, 267, 24496, 3764, 267, 649, 666, 2161, 602, 513, 2520, 739, 566, 776, 9682, 814, 513, 24364, 3432, 540, 476, 272, 4838, 5258, 676, 476, 272, 267, 24496, 3764, 267, 610, 476, 277, 269, 11463, 2053, 476, 1015, 547, 519, 910, 275, 26201, 829, 8792, 780, 1103, 2474, 540, 5232, 829, 2034, 267, 649, 917, 602, 513, 2520, 739, 566, 776, 9682, 2306, 476, 11740, 5232, 630, 821, 10739, 264, 1169, 476, 10436, 267, 24496, 7643, 269, 634, 24364, 3432, 1131, 4061, 581, 476, 271, 269, 21916, 5232, 829, 2034, 780, 2252, 649, 4941, 547, 946, 32494, 829, 2034, 267, 649, 666, 1491, 476, 273, 14039, 543, 7941, 676, 476, 10436, 267, 24496, 7643, 267, 4947, 909, 609, 513, 24364, 3432, 540, 476, 278, 269, 2767, 2053, 476, 1015, 547, 519, 910, 276, 32494, 829, 2034, 780, 1012, 19358, 1113, 6991, 692, 5970, 596, 2479, 678, 5200, 593, 513, 5789, 787, 30559, 15778, 610, 513, 1286, 537, 1088, 286, 634, 1259, 649, 1995, 3432, 593, 513, 15914, 3760, 814, 547, 798, 609, 711, 1152, 519, 24364, 3432, 540, 519, 11878, 267, 855, 849, 593, 875, 2484, 649, 616, 689, 519, 4099, 540, 10047, 269, 901, 7274, 568, 1572, 8126, 1113, 6991, 269, 2755, 24364, 3432, 568, 3586, 10876, 2059, 513, 15914, 1843, 267, 519, 8126, 1113, 6991, 568, 711, 780, 307, 836, 1113, 6991, 568, 7168, 1454, 1175, 899, 519, 6991, 649, 4076, 5941, 538, 3105, 15872, 269, 634, 3090, 568, 513, 27608, 642, 267, 543, 594, 949, 946, 513, 31941, 540, 570, 547, 1118, 621, 2312, 602, 621, 779, 513, 8126, 1113, 6991, 269, 634, 4559, 602, 649, 946, 616, 544, 4882, 780, 2414, 5173, 8126, 1113, 6991, 267, 649, 991, 547, 3313, 519, 4890, 3845, 602, 606, 1843, 7575, 607, 621, 12599, 2059, 519, 18343, 1843, 829, 1770, 540, 942, 780, 763, 3845, 1472, 513, 5858, 568, 1634, 607, 519, 18592, 269, 898, 568, 3160, 547, 476, 273, 265, 7032, 265, 337, 267, 1141, 678, 568, 519, 8953, 540, 519, 5858, 780, 11997, 267, 519, 9588, 540, 519, 8126, 1113, 6991, 786, 581, 3160, 547, 476, 273, 1535, 14039, 1535, 519, 3845, 621, 568, 689, 519, 4099, 540, 10047, 267, 5258, 676, 875 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

[ 0, 13328, 4204, 267, 2185, 538, 8536, 1004, 896, 519, 2085, 540, 476, 736, 723, 1826, 476, 272, 3987, 269, 898, 568, 519, 1034, 1455, 10894, 2068, 538, 1453, 543, 10708, 269, 8307, 827, 835, 538, 4557, 540, 1346, 4299, 814, 513, 2673, 3448, 609, 519, 2068, 269, 901, 1797, 602, 1826, 476, 272, 3987, 666, 1860, 1022, 1126, 269, 1403, 9571, 2038, 267, 7189, 666, 6895, 543, 1521, 519, 3676, 3927, 269, 1717, 267, 538, 1082, 2665, 267, 519, 2068, 1281, 711, 1831, 1634, 2394, 513, 4049, 547, 1272, 18446, 10894, 3541, 841, 618, 4386, 269, 901, 1419, 5012, 547, 14021, 2564, 2126, 267, 513, 3476, 30674, 267, 513, 25013, 1973, 4006, 1852, 4611, 538, 606, 2799, 1981, 540, 6281, 3676, 267, 543, 1360, 1164, 3790, 585, 519, 3782, 1062, 563, 306, 920, 2287, 607, 3044, 1416, 454, 14071, 1616, 547, 2149, 607, 1082, 1453, 607, 2009, 689, 3978, 10894, 3541, 841, 906, 269, 901, 568, 1152, 2009, 609, 1826, 476, 272, 3987, 32182, 269, 4475, 267, 649, 9244, 1489, 547, 1331, 2038, 1673, 564, 1254, 4255, 538, 3044, 2564, 1416, 5608, 3081, 8834, 3600, 1156, 22138, 267, 835, 540, 519, 1353, 3401, 693, 29581, 3128, 16379, 22540, 563, 2414, 4266, 267, 1152, 1360, 1906, 2090, 723, 5340, 513, 2551, 17253, 9584, 585, 2038, 5933, 540, 1826, 476, 272, 3987, 269, 634, 2605, 272, 6767, 1353, 3366, 676, 29581, 3128, 16379, 22540, 32195, 713, 7934, 281, 4595, 476, 1001, 276, 267, 1453, 9907, 476, 273, 268, 276, 1296, 538, 28554, 7559, 267, 5125, 267, 1223, 723, 741, 1973, 7318, 585, 865, 10777, 568, 2280, 10081, 656, 756, 3672, 269, 634, 12489, 616, 4191, 540, 606, 6553, 543, 9552, 540, 519, 7378, 26148, 12498, 2281, 540, 519, 18558, 269, 901, 1259, 267, 3173, 666, 3713, 606, 2038, 3942, 540, 1826, 476, 272, 3987, 1296, 1354, 7378, 10638, 543, 11506, 1973, 4006, 2157, 2049, 609, 2589, 540, 519, 2068, 269, 769, 5698, 609, 476, 6924, 273, 12963, 2103, 543, 476, 1626, 12963, 3987, 19190, 538, 28554, 7559, 267, 476, 3445, 267, 277, 3953, 1453, 941, 7318, 1369, 519, 1101, 2185, 1296, 540, 519, 2605, 272, 6767, 1353, 282, 476, 18231, 1453, 630, 271, 269, 4029, 2600, 264, 941, 8995, 609, 606, 2038, 3942, 540, 1826, 476, 272, 3987, 563, 22025, 1113, 3790, 585, 519, 3782, 1062, 454, 1103, 519, 1699, 2079, 267, 519, 3173, 7447, 519, 3790, 540, 519, 9584, 269, 10738, 519, 2605, 272, 6767, 1353, 267, 519, 3790, 829, 1126, 729, 1472, 476, 2764, 20789, 338, 269, 1403, 32182, 941, 547, 581, 3769, 538, 3044, 2564, 1416, 267, 519, 3173, 8263, 602, 519, 2179, 1223, 2569, 547, 827, 476, 2420, 20789, 338, 829, 1126, 29971, 563, 763, 1942, 2079, 6227, 519, 27147, 267, 4393, 543, 2079, 540, 519, 1973, 5439, 267, 607, 1134, 607, 519, 2792, 540, 519, 2164, 269, 898, 849, 2882, 9276, 585, 4255, 547, 2708, 519, 12498, 1591, 1599, 543, 1973, 4006, 1377, 267, 607, 1134, 607, 585, 6604, 2866, 543, 13508, 585, 4299, 1453, 543, 741, 3885, 563, 2108, 7212, 938, 9382, 616, 1641, 547, 930, 1377, 540, 10462, 267, 789, 1683, 513, 25162, 585, 519, 4397, 6388, 1942, 540, 9584, 2223, 6941, 7812, 700, 25404, 267, 849, 513, 1353, 6205, 693, 29581, 3128, 16379, 22540, 269, 968, 9202, 267, 649, 2832, 547, 6218, 519, 1279, 3856, 5223, 540, 9584, 3790, 267, 1761, 1942, 9806, 998, 519, 6604, 540, 10894, 3541, 841, 618, 543, 922, 4539, 267, 543, 5732, 2799, 2298, 540, 1272, 609, 513, 1826, 476, 272, 3987, 9584, 3379, 547, 519, 3790, 543, 2298, 540, 1272, 1510, 513, 9584, 1848, 0, 288, 24677, 6361, 28129, 630, 2710, 306, 264, 4323, 568, 513, 1106, 540, 6880, 3430, 871, 538, 799, 513, 17351, 17076, 8942, 547, 1118, 513, 2780, 610, 824, 3926, 28998, 547, 922, 5497, 3755, 676, 27200, 922, 8912, 5106, 563, 288, 24677, 540, 3028, 4323, 568, 835, 538, 799, 513, 2780, 17160, 513, 7746, 609, 27427, 543, 772, 7894, 21168, 269, 589, 667, 2710, 306, 14213, 4386, 950, 1896, 1949, 10131, 1684, 306, 6285, 593, 513, 2582, 1062, 269, 634, 6098, 3060, 568, 1287, 538, 1495, 730, 609, 21168, 689, 513, 3099, 540, 2959, 269, 667, 2710, 306, 568, 519, 1482, 607, 1684, 306, 267, 4352, 711, 782, 1684, 306, 568, 519, 1482, 607, 667, 2710, 306, 563, 288, 9324, 658, 6361, 4149, 16291, 630, 2710, 306, 264, 4323, 568, 835, 602, 8942, 547, 3142, 513, 3684, 610, 3060, 547, 513, 26699, 267, 17021, 621, 11389, 778, 762, 547, 922, 5497, 3755, 269, 1684, 306, 6285, 960, 676, 538, 1495, 908, 519, 3077, 609, 6808, 610, 12419, 621, 1344, 602, 3123, 621, 547, 16154, 563, 24426, 828, 5983, 985, 923, 9457, 5035, 609, 24732, 593, 1565, 0, 2414, 15518, 622, 568, 547, 2285, 2576, 3116, 5539, 543, 6392, 547, 14892, 513, 4305, 267, 855, 596, 11677, 2949, 5539, 585, 519, 7084, 781, 12032, 269, 7102, 13539, 2640, 689, 15518, 566, 540, 6392, 2094, 621, 16877, 5520, 610, 2319, 2818, 563, 19931, 15518, 566, 17990, 942, 267, 2337, 596, 543, 707, 2319, 1332, 607, 4648, 267, 22316, 596, 547, 4383, 3677, 6887, 267, 543, 4665, 919, 5520, 543, 2319, 2818, 547, 798, 1732, 960, 269, 1546, 5586, 566, 568, 513, 2629, 31707, 5578, 547, 1020, 1282, 519, 1576, 540, 707, 4876, 563, 2691, 513, 9614, 3947, 1880, 9021, 547, 741, 5234, 267, 713, 568, 5219, 547, 607, 15518, 566, 269, 2494, 6162, 1863, 909, 942, 547, 1445, 593, 2362, 17032, 4238, 676, 15518, 908, 1978, 9021, 547, 2319, 2818, 267, 1247, 849, 5329, 5520, 12592, 609, 2799, 13190, 563, 5719, 5586, 908, 9021, 6087, 3906, 547, 1445, 593, 519, 1919, 602, 2339, 811, 543, 1205, 811, 856, 540, 741, 5520, 269, 898, 849, 2337, 873, 4383, 519, 24913, 338, 540, 5520, 543, 2333, 7607, 563, 2252, 596, 1616, 707, 2319, 2818, 547, 798, 513, 1434, 2816, 267, 621, 779, 1271, 585, 873, 547, 1745, 899, 789, 723, 519, 13190, 543, 1489, 789, 991, 281, 0, 4263, 7665, 328, 288, 1749, 267, 649, 1419, 1205, 2055, 689, 5561, 945, 616, 11449, 513, 8289, 4217, 633, 1587, 585, 513, 3659, 610, 6068, 835, 269, 2290, 540, 519, 1034, 2442, 2055, 649, 616, 4280, 568, 267, 834, 1432, 568, 519, 3017, 1063, 21901, 543, 1970, 5075, 8119, 634, 2626, 547, 602, 2243, 568, 1271, 547, 938, 5561, 945, 1616, 547, 1118, 2386, 789, 3442, 519, 1318, 1587, 563, 3383, 267, 1577, 781, 5490, 883, 519, 3017, 1063, 3308, 15717, 543, 21901, 563, 1432, 568, 519, 3017, 1063, 3308, 15717, 543, 21901, 888, 1103, 519, 2136, 2276, 267, 972, 616, 2185, 2474, 1031, 547, 4766, 1114, 2157, 540, 5075, 15717, 543, 21901, 912, 268, 3487, 6053, 8289, 539, 454, 268, 8899, 5075, 454, 268, 6181, 958, 9420, 454, 268, 570, 582, 958, 9420, 454, 8512, 6053, 8289, 539, 1797, 513, 1268, 814, 9864, 5075, 267, 2901, 538, 835, 610, 1312, 4064, 563, 20181, 5075, 4016, 547, 513, 4049, 3308, 15717, 538, 799, 3308, 1035, 8462, 568, 476, 736, 270, 3583, 610, 25013, 538, 519, 1732, 5498, 4370, 3750, 543, 3112, 2087, 609, 14296, 610, 17066, 563, 26765, 958, 9420, 1797, 513, 1268, 814, 513, 22621, 5075, 540, 476, 736, 270, 1220, 538, 741, 1655, 5498, 4370, 3750, 269, 1403, 3308, 11226, 971, 607, 14296, 666, 2953, 513, 1268, 779, 5075, 547, 476, 736, 270, 736, 267, 789, 616, 711, 2808, 16155, 9420, 563, 307, 582, 958, 9420, 4016, 547, 513, 2347, 2530, 540, 8289, 269, 32559, 1145, 568, 513, 2783, 538, 799, 513, 1268, 666, 1406, 1294, 4376, 1317, 540, 8628, 15717, 547, 741, 32416, 267, 2436, 621, 581, 3361, 676, 2068, 267, 5945, 267, 610, 4332, 454, 18455, 9420, 610, 11617, 15176, 3884, 1406, 827, 1018, 1004, 666, 610, 3112, 798, 563, 2005, 779, 827, 1565, 519, 1655, 1259, 547, 9585, 8726, 3853, 789, 1305, 856, 547, 3035, 2336, 18455, 11617, 15176, 610, 9420, 3085, 1406, 1611, 835, 666, 1406, 2661, 513, 3339, 1272, 269, 2201, 519, 14669, 256, 8729, 547, 519, 1360, 1082, 5863, 267, 13561, 2645, 543, 11226, 2966, 585, 4830, 4948, 2713, 267, 11617, 15176, 543, 9420, 11570, 979, 547, 960, 267, 979, 547, 519, 9413, 267, 2263, 1007, 2694, 540, 4884, 267, 960, 856, 693, 14934, 916, 4534, 3388, 543, 4376, 513, 8289, 539, 1268, 1281, 2336, 30054, 18612, 5426, 5489, 10725, 1475, 4858, 4068, 476, 1708, 273, 25038, 2060, 454, 1708, 273, 623, 12714, 25038, 454, 30106, 22736, 570, 1901, 12763, 454, 31340, 580, 573, 595, 2033, 2060, 454, 290, 549, 758, 7435, 548, 910, 476, 4343, 6279, 0, 2005, 779, 513, 19433, 281, 519, 3237, 543, 19393, 945, 2196, 5196, 519, 2361, 540, 1404, 547, 1349, 513, 6107, 6345, 1310, 513, 24743, 3562, 268, 3559, 5471, 3346, 5945, 616, 519, 1482, 3283, 945, 695, 2607, 1055, 4832, 3002, 1282, 11176, 3786, 607, 513, 678, 924, 540, 8574, 269, 2311, 1034, 267, 789, 1522, 19184, 606, 3063, 11480, 540, 1216, 693, 513, 6345, 563, 10673, 1406, 1293, 593, 602, 547, 2063, 269, 589, 3395, 4656, 540, 519, 12178, 540, 3002, 560, 6593, 543, 513, 7222, 1620, 602, 621, 666, 581, 14603, 568, 2921, 3597, 269, 1656, 607, 11176, 6887, 630, 553, 1134, 607, 17869, 2695, 6758, 543, 6512, 2818, 264, 2212, 585, 741, 2866, 13122, 630, 514, 799, 789, 6108, 1713, 942, 593, 9205, 4610, 1070, 621, 779, 1945, 602, 568, 2469, 547, 581, 1107, 952, 711, 1283, 540, 2247, 1107, 693, 2547, 2673, 547, 519, 4395, 269, 1656, 5411, 540, 1346, 2621, 267, 607, 1134, 607, 824, 9205, 5026, 899, 2571, 4252, 543, 13836, 267, 991, 547, 581, 4712, 563, 763, 15544, 585, 8376, 6513, 630, 24922, 264, 32245, 513, 1592, 540, 2589, 1107, 543, 6700, 3527, 547, 581, 3144, 1107, 538, 519, 2680, 540, 3002, 5829, 10108, 543, 2712, 2471, 4896, 609, 9205, 2238, 547, 24559, 2933, 609, 873, 563, 6097, 547, 519, 7502, 1512, 6019, 630, 293, 3271, 5866, 264, 5240, 6261, 816, 267, 519, 2817, 4741, 585, 9697, 770, 13116, 11846, 28864, 814, 1382, 10834, 602, 689, 476, 1960, 276, 547, 476, 1001, 276, 267, 476, 8618, 11176, 5716, 5747, 689, 3002, 8482, 630, 5379, 1164, 1153, 267, 476, 1556, 2852, 267, 1079, 3318, 267, 543, 1079, 6896, 6107, 1040, 715, 27197, 2600, 540, 6592, 3002, 8482, 7972, 7018, 1282, 2259, 563, 8601, 713, 267, 8387, 538, 519, 24106, 1533, 616, 8165, 606, 15081, 650, 6370, 609, 1153, 16984, 547, 4831, 519, 1966, 563, 763, 8419, 4400, 3427, 26465, 545, 5948, 7150, 621, 1131, 1152, 23626, 2596, 1272, 22766, 3937, 538, 2013, 540, 3002, 8482, 952, 5143, 547, 798, 865, 676, 1876, 16234, 269, 8419, 7354, 269, 22186, 22220, 10426, 573, 27622, 540, 10878, 1255, 1767, 1352, 814, 13175, 2324, 593, 9086, 547, 23626, 1569, 547, 4672, 8685, 338, 585, 6345, 21599, 538, 2665, 540, 3002, 8482, 1310, 519, 1533, 8116, 20366, 711, 547, 2154, 519, 3044, 3937, 610, 2027, 5687, 18852, 267, 1634, 607, 6632, 15941, 8608, 5687, 18852, 630, 310, 294, 6630, 338, 264, 602, 2268, 3002, 2566, 563, 14881, 6557, 2469, 547, 1694, 1524, 936, 519, 4832, 543, 1294, 952, 594, 666, 960, 609, 519, 7681, 865, 602, 649, 666, 4739, 513, 3915, 602, 1568, 585, 3025, 543, 6104, 8460, 938, 3804, 540, 1818, 2386, 1053, 5749, 1406, 2469, 547, 5884, 689, 3002, 8482, 2223, 10426, 573, 27622, 1767, 538, 513, 4873, 476, 1321, 3377, 2376, 269, 968, 2005, 779, 1271, 602, 649, 960, 1927, 3034, 8967, 584, 2590, 519, 9086, 593, 568, 519, 3965, 540, 513, 1164, 1153, 11176, 6345, 945, 729, 3144, 1055, 1272, 1489, 2063, 4832, 1739, 1010, 3002, 14001, 12900, 693, 513, 2259, 269, 2098, 778, 776, 2717, 11420, 6199, 779, 4295, 2837, 10805, 476, 13040, 5232, 585, 811, 982, 606, 5662, 267, 593, 513, 1554, 609, 513, 24817, 1164, 540, 476, 10844, 563, 2304, 2376, 538, 1280, 15816, 7074, 2676, 23178, 12448, 6182, 684, 7322, 540, 519, 2160, 540, 11908, 630, 308, 16598, 264, 568, 606, 3486, 4274, 593, 4365, 543, 3002, 5829, 2152, 269, 769, 476, 1001, 273, 267, 646, 543, 9164, 3370, 513, 6594, 15663, 602, 3002, 5829, 11176, 7972, 2468, 9482, 1063, 476, 1960, 275, 543, 476, 1220, 280, 267, 543, 519, 1533, 540, 11908, 3366, 519, 1259, 269, 4256, 1353, 2919, 513, 3084, 6538, 609, 1344, 593, 11195, 267, 2837, 267, 942, 540, 1554, 543, 10305, 630, 19417, 267, 2597, 267, 2990, 264 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

[ 509, 354, 19867, 378, 28578, 23989, 20069, 31365, 8147, 20881, 480, 17958, 26233, 356, 31006, 417, 354, 377, 454, 258, 22614, 362, 501, 25622, 26233, 507, 420, 371, 363, 16088, 421, 479, 491, 31308, 484, 28578, 23989, 19867, 478, 20069, 30317, 27381, 510, 8147, 418, 509, 354, 19867, 378, 4970, 492, 25203, 362, 21550, 485, 29219, 25203, 372, 419, 511, 487, 7511, 30317, 27381, 510, 8147, 21251, 28884, 418, 365, 480, 28578, 23989, 30317, 27381, 510, 20069, 31365, 8147, 21251, 28884, 418, 365, 480, 28578, 23989, 30317, 27381, 510, 18713, 374, 27936, 12255, 29004, 362, 32352, 417, 508, 489, 8147, 28997, 501, 25622, 11590, 489, 10524, 370, 14035, 491, 23521, 480, 18021, 355, 27818, 302, 3799, 264, 24724, 454, 3698, 9696, 2514, 10857, 267, 544, 321, 2187, 825, 544, 815, 544, 321, 454, 825, 1948, 476, 18777, 364, 25051, 499, 30006, 498, 20001, 481, 418, 361, 350, 12255, 454, 825, 735, 19571, 815, 476, 271, 454, 825, 1948, 476, 18777, 364, 25051, 499, 13213, 498, 18713, 508, 14756, 497, 31563, 421, 505, 484, 454, 825, 1267, 815, 9598, 4590, 825, 1948, 476, 20001, 373, 419, 499, 490, 10254, 353, 13161, 511, 8147, 21251, 30006, 498, 20001, 481, 25203, 368, 26406, 354, 27447, 24731, 14756, 497, 31563, 454, 825, 952, 7003, 10857, 264, 2652, 476, 271, 912, 1038, 1267, 9131, 4818, 19571, 11172, 815, 476, 271, 454, 1038, 1267, 9131, 5417, 816, 11172, 815, 910, 272, 454, 1038, 2132, 1267, 454, 825, 585, 1775, 538, 2039, 12759, 10857, 15892, 1038, 952, 544, 2652, 561, 5157, 14158, 2018, 735, 19571, 6834, 476, 272, 454, 2018, 1267, 9131, 4818, 19571, 11172, 815, 735, 19571, 454, 2018, 1267, 9131, 5417, 816, 11172, 815, 1775, 454, 2018, 2132, 1267, 454, 1038, 3116, 912, 2018, 735, 19571, 6834, 476, 272, 454, 2018, 1267, 9131, 4818, 19571, 11172, 815, 735, 19571, 454, 2018, 1775, 6834, 476, 272, 454, 825, 1948, 22614, 505, 362, 21550, 485, 29219, 10951, 359, 19867, 378, 28996, 8147, 13213, 498, 18713, 508, 421, 498, 503, 13644, 363, 419, 510, 479, 454, 825, 1267, 9131, 5417, 816, 11172, 815, 910, 272, 454, 825, 2132, 1267, 7531, 258, 13127, 371, 362, 29219, 418, 509, 354, 19867, 378, 25622, 7987, 494, 11590, 490, 26166, 418, 509, 354, 19867, 378, 7511, 418, 498, 373, 13213, 505, 417, 508, 489, 8147, 20881, 480, 17958, 30678, 418, 509, 354, 19867, 378, 23989, 29219, 26166, 27747, 481, 417, 507, 485, 25060, 478, 267, 418, 509, 354, 19867, 378, 421, 505, 484, 12571, 486, 30006, 498, 20001, 481, 27962, 7987, 495, 454, 258, 22614, 362, 501, 25622, 29830, 373, 30536, 16088, 21251, 31801, 367, 27936, 8147, 29830, 373, 418, 362, 488, 418, 481, 483, 19540, 369, 31284, 30006, 498, 11590, 490, 26166, 418, 509, 354, 19867, 378, 10533, 486, 27064, 485, 421, 360, 502, 454, 258, 22614, 362, 501, 25622, 26233, 507, 420, 371, 363, 16088, 21550, 373, 29004, 362, 25203, 362, 21550, 485, 29219, 21928, 418, 509, 354, 19867, 378, 420, 490, 481, 18713, 368, 7511, 26166, 27747, 481, 25060, 374, 25426, 368, 9463, 500, 30006, 498, 20001, 481, 29219, 8147, 20881, 494, 27882, 354, 419, 376, 358, 16533, 493, 418, 509, 354, 19867, 378, 420, 490, 481, 18713, 368, 8147, 23284, 10951, 509, 16583, 493, 16533, 495, 418, 509, 354, 13644, 351, 30006, 498, 20001, 481, 418, 361, 350, 12255, 454, 3698, 7696, 14142, 10857, 267, 544, 321, 2187, 825, 544, 815, 544, 321, 454, 825, 1948, 17276, 509, 354, 13644, 351, 28578, 23989, 12916, 492, 29219, 27381, 351, 19764, 499, 454, 825, 1524, 815, 476, 271, 454, 825, 1948, 17276, 509, 354, 13644, 351, 28578, 23989, 421, 360, 502, 29219, 27381, 351, 19764, 499, 454, 825, 909, 815, 7003, 10857, 264, 910, 476, 272, 454, 825, 1948, 476, 13213, 498, 18713, 508, 14756, 497, 31563, 421, 505, 484, 454, 825, 1267, 815, 9598, 4590, 825, 1948, 476, 20001, 373, 419, 499, 490, 10254, 353, 13161, 511, 8147, 21251, 30006, 498, 20001, 481, 25203, 368, 26406, 354, 27447, 24731, 14756, 497, 31563, 454, 825, 952, 7003, 10857, 264, 2652, 476, 271, 912, 1038, 1267, 9131, 5417, 816, 11172, 815, 910, 272, 454, 1038, 1267, 9131, 4818, 19571, 11172, 815, 476, 271, 454, 1038, 2132, 1267, 454, 825, 1948, 17276, 509, 354, 13644, 351, 28578, 23989, 30006, 498, 20001, 481, 29219, 27381, 351, 19764, 499, 314, 27381, 351, 19764, 499, 30536, 20881, 487, 418, 489, 358, 28032, 507, 29004, 362, 15159, 418, 509, 354, 19867, 378, 29219, 21928, 418, 509, 354, 19867, 378, 25060, 374, 25426, 368, 7511, 26166, 27747, 481, 418, 481, 483, 19540, 369, 2639, 825, 952, 561, 314, 1575, 316, 910, 561, 314, 6658, 316, 3436, 476, 271, 912, 1038, 4571, 815, 1524, 1341, 2979, 269, 28776, 9230, 332, 910, 561, 314, 6658, 8079, 1315, 630, 331, 314, 1575, 316, 910, 561, 314, 6658, 8079, 2608, 630, 1575, 910, 1524, 4917, 825, 3116, 912, 1038, 4571, 815, 2979, 269, 576, 559, 9230, 6658, 1341, 909, 264, 1315, 476, 273, 994, 825, 1948, 476, 18777, 364, 25051, 499, 418, 509, 354, 13644, 351, 30006, 498, 20001, 481, 418, 361, 350, 12255, 454, 825, 735, 19571, 815, 476, 271, 454, 825, 952, 544, 2999, 561, 314, 6658, 316, 610, 544, 3436, 561, 314, 1575, 14158, 1038, 1267, 9131, 4818, 19571, 11172, 815, 476, 271, 454, 825, 1948, 476, 20001, 373, 419, 499, 490, 10254, 353, 13161, 511, 8147, 417, 28187, 31563, 418, 509, 354, 19867, 378, 29219, 420, 370, 483, 24731, 418, 509, 354, 19867, 378, 420, 490, 481, 18713, 368, 8147, 21251, 30006, 498, 20001, 481, 8147, 25203, 368, 26406, 354, 420, 371, 367, 24731, 23523, 359, 27064, 363, 454, 825, 1247, 1524, 10922, 909, 912, 1038, 1948, 22614, 505, 362, 21550, 485, 29219, 19867, 378, 28996, 8147, 418, 509, 354, 19867, 378, 23946, 370, 27447, 24731, 21588, 361, 22047, 420, 351, 360, 27936, 12916, 491, 7511, 25203, 362, 21550, 485, 29219, 454, 1038, 952, 544, 2652, 561, 314, 13232, 14158, 2018, 735, 19571, 6834, 476, 272, 454, 2018, 1267, 9131, 4818, 19571, 11172, 815, 735, 19571, 454, 2018, 1267, 9131, 5417, 816, 11172, 815, 4571, 454, 2018, 2132, 1267, 454, 1038, 1948, 22614, 505, 362, 21550, 485, 29219, 30006, 498, 25051, 497, 31176, 491, 30006, 498, 20001, 481, 29219, 16533, 493, 8147, 16533, 484, 421, 360, 502, 29219, 27381, 351, 19764, 499, 31176, 491, 26175, 375, 420, 485, 367, 25051, 497, 31176, 491, 30006, 498, 20001, 481, 29219, 454, 1038, 8640, 544, 2999, 561, 314, 13232, 14158, 2018, 735, 19571, 6834, 476, 272, 454, 2018, 909, 815, 4571, 910, 476, 272, 454, 2018, 1948, 476, 14756, 497, 31563, 29219, 12571, 495, 31284, 9463, 500, 10533, 368, 454, 2018, 952, 561, 314, 1575, 316, 910, 561, 314, 6658, 316, 3436, 476, 271, 912, 3546, 4571, 815, 1524, 1341, 2979, 269, 28776, 9230, 332, 910, 561, 314, 6658, 8079, 1315, 630, 331, 314, 1575, 316, 910, 561, 314, 6658, 8079, 2608, 630, 1575, 910, 1524, 4917, 2018, 3116, 912, 3546, 4571, 815, 2979, 269, 576, 559, 9230, 6658, 1341, 909, 264, 1315, 476, 273, 994, 2018, 1267, 9131, 4818, 19571, 11172, 815, 735, 19571, 454, 1038, 1948, 22614, 505, 362, 21550, 485, 29219, 30006, 498, 25051, 497, 31176, 491, 30006, 498, 20001, 481, 29219, 27962, 8147, 16533, 484, 12916, 492, 29219, 27381, 351, 19764, 499, 12571, 492, 26175, 375, 420, 485, 367, 25051, 497, 31176, 491, 30006, 498, 20001, 481, 29219, 454, 1038, 3116, 912, 2018, 735, 19571, 6834, 476, 272, 454, 2018, 1524, 815, 4571, 1341, 476, 272, 454, 2018, 952, 561, 314, 1575, 316, 910, 561, 314, 6658, 316, 3436, 476, 271, 912, 3546, 4571, 815, 1524, 1341, 2979, 269, 28776, 9230, 332, 910, 561, 314, 6658, 8079, 1315, 630, 331, 314, 1575, 316, 910, 561, 314, 6658, 8079, 2608, 630, 1575, 910, 1524, 4917, 2018, 3116, 912, 3546, 4571, 815, 2979, 269, 576, 559, 9230, 6658, 1341, 909, 264, 1315, 476, 273, 994, 2018, 1267, 9131, 4818, 19571, 11172, 815, 735, 19571, 454, 825, 1948, 22614, 505, 362, 21550, 485, 29219, 10951, 359, 19867, 378, 28996, 8147, 13213, 498, 18713, 508, 421, 498, 503, 13644, 363, 419, 510, 479, 454, 825, 1267, 9131, 5417, 816, 11172, 815, 910, 272, 454, 825, 2132, 1267, 7531, 258, 13127, 484, 496, 21796, 350, 26406, 496, 31365, 454, 258, 22614, 362, 501, 25622, 29830, 373, 30536, 16088, 31801, 367, 27936, 28997, 501, 25622, 454, 258, 22614, 362, 501, 25622, 26233, 507, 420, 371, 363, 16088, 30006, 493, 421, 479, 491, 31308, 484, 13601, 421, 479, 491, 8147, 421, 25693, 25263, 504, 418, 488, 488, 29219, 31006, 27962, 7511, 20881, 487, 418, 489, 358, 24731, 23521, 354, 8147, 23946, 370, 16533, 484, 28578, 23989, 18809, 30317, 27381, 510, 10533, 368, 419, 494, 484, 7511, 31271, 478, 421, 481, 357, 20069, 31365, 454, 3698, 18616, 677, 10857, 2187, 825, 4994, 815, 7003, 10857, 994, 825, 1775, 815, 476, 271, 454, 825, 1948, 13127, 353, 500, 31271, 480, 23523, 359, 27064, 363, 268, 26406, 356, 10254, 370, 25203, 362, 31176, 491, 26406, 496, 31365, 29219, 7511, 12916, 491, 419, 377, 362, 454, 825, 1247, 1775, 2999, 4994, 912, 1038, 795, 815, 1775, 1341, 476, 272, 454, 1038, 1948, 13127, 484, 483, 31271, 480, 23523, 359, 27064, 363, 268, 26406, 356, 10254, 370, 30006, 498, 20001, 481, 29219, 7511, 12916, 491, 419, 377, 362, 454, 1038, 1247, 795, 2999, 4994, 912, 2018, 952, 561, 5157, 316, 13843, 561, 14728, 14158, 3546, 10917, 815, 561, 14728, 2639, 3546, 561, 14728, 316, 815, 561, 5157, 2639, 3546, 561, 5157, 316, 815, 10917, 454, 2018, 795, 815, 795, 1341, 476, 272, 454, 1038, 1775, 815, 1775, 1341, 476, 272, 454, 825, 2132, 561, 7531, 258, 13127, 379, 360, 20881, 509, 26406, 496, 31365, 28997, 501, 25622, 454, 258, 22614, 362, 501, 25622, 29830, 373, 30536, 16088, 31801, 367, 27936, 28997, 501, 25622, 8147, 19540, 496, 21796, 350, 26406, 496, 31365, 28997, 501, 25622, 7511, 418, 498, 373, 13213, 505, 454, 258, 22614, 362, 501, 25622, 26233, 507, 420, 371, 363, 16088, 20881, 487, 418, 489, 358, 22047, 30006, 498, 20001, 481, 29219, 8147, 16533, 484, 23523, 483, 26406, 496, 31365, 28578, 23989, 10533, 368, 419, 494, 484, 29873, 16533, 493, 29219, 421, 505, 484, 12571, 486, 25520, 27962, 29219, 421, 505, 484, 12571, 486, 8147, 419, 482, 370, 12571, 492, 21928, 16533, 493, 29219, 421, 505, 484, 12571, 486, 25520, 27962, 29219, 421, 505, 484, 12571, 486, 19404, 491, 14035, 491, 10254, 496, 26166, 25913, 25622, 8147, 25203, 368, 28996, 30006, 493, 14748, 10254, 496, 26166, 10524, 483, 11858, 502, 22047, 30317, 27381, 510, 8147, 26406, 496, 31365, 14756, 497, 23521, 509, 454, 258, 13127, 379, 360, 20881, 509, 26406, 496, 31365, 15159, 27064, 364, 11858, 502, 26266, 366, 419, 509, 354, 10533, 486, 27064, 485, 31006, 417, 354, 377, 8147, 18021, 498, 17958, 18809, 24731, 27064, 364, 31006, 14035, 504, 7511, 26406, 496, 31365, 28997, 501, 25622, 454, 3698, 844, 6506, 677, 5560, 1144, 267, 579, 704, 267, 561, 2187, 825, 1948, 476, 9463, 502, 19404, 493, 328, 26406, 356, 10254, 370, 10254, 496, 26166, 420, 485, 359, 25060, 374, 25426, 368, 7511, 421, 479, 491, 31308, 484, 418, 497, 491, 30853, 454, 825, 1775, 815, 1524, 1341, 476, 272, 454, 825, 1948, 28859, 479, 491, 31308, 484, 332, 18777, 364, 25051, 499, 25060, 374, 25426, 368, 19540, 483, 16533, 493, 30678, 10254, 496, 26166, 29219, 7511, 12916, 491, 419, 377, 362, 454, 825, 544, 815, 1524, 454, 825, 1948, 13127, 376, 480, 27747, 372, 10254, 353, 13161, 511, 8147, 23523, 483, 26406, 496, 31365, 25060, 374, 25426, 368, 421, 360, 502, 12916, 492, 17295, 364, 417, 507, 478, 24731, 421, 498, 503, 454, 825, 952, 1524, 13843, 579, 704, 912, 1038, 2132, 561, 454, 825, 1948, 476, 10254, 507, 417, 356, 489, 25060, 500, 418, 497, 491, 30853, 8147, 21928, 4289, 18809, 421, 504, 493, 10951, 374, 20881, 487, 418, 489, 358, 22047, 10254, 496, 26166, 29219, 454, 825, 23396, 5560, 1144, 267, 4351, 27110, 5560, 1144, 267, 579, 704, 1070, 561, 994, 825, 1948, 28859, 350, 374, 31365, 421, 479, 491, 31308, 484, 23523, 483, 26406, 496, 31365, 28578, 23989, 8147, 418, 509, 354, 19867, 378, 30006, 498, 10254, 496, 26166, 29219, 16533, 493, 7511, 30317, 27381, 510, 12916, 491, 419, 377, 362, 8147, 23946, 370, 11590, 353, 29004, 351, 454, 825, 1247, 1775, 10922, 579, 704, 912, 1038, 952, 561, 5157 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

[ 6108, 267, 543, 646, 729, 29802, 538, 519, 3296, 540, 519, 5411, 540, 519, 23339, 269, 594, 16818, 620, 268, 3412, 611, 620, 6953, 534, 4472, 328, 630, 323, 269, 476, 10482, 280, 589, 295, 264, 3081, 910, 538, 1412, 20112, 715, 10212, 1115, 262, 910, 1936, 908, 713, 4498, 21105, 1650, 267, 609, 922, 6891, 540, 17604, 602, 30813, 666, 7173, 841, 952, 972, 568, 2576, 945, 10607, 519, 9997, 3609, 538, 2053, 540, 11605, 543, 26182, 873, 547, 4194, 741, 16839, 912, 257, 314, 2704, 6953, 541, 21105, 316, 10371, 568, 538, 7890, 1510, 12129, 267, 865, 950, 646, 2968, 32467, 609, 519, 1033, 664, 4315, 538, 519, 6640, 11755, 267, 543, 646, 1500, 1121, 27320, 540, 873, 883, 513, 803, 2131, 1145, 267, 543, 646, 26017, 3025, 945, 1185, 13881, 1945, 689, 1010, 1920, 547, 1612, 3315, 2763, 1864, 32372, 6740, 621, 1070, 865, 950, 621, 729, 29869, 646, 26017, 873, 547, 8831, 4189, 1426, 32372, 7305, 1070, 865, 3025, 17696, 538, 7890, 543, 9053, 513, 2603, 267, 865, 646, 26017, 873, 547, 695, 841, 621, 267, 543, 646, 7281, 539, 585, 873, 693, 29869, 543, 10288, 873, 547, 3207, 543, 1964, 267, 1287, 646, 7281, 539, 585, 873, 543, 1500, 1121, 27320, 540, 873, 547, 25448, 267, 1287, 646, 7281, 539, 585, 873, 538, 25448, 543, 4843, 1018, 646, 13984, 282, 543, 646, 7283, 899, 713, 269, 2201, 519, 3791, 1554, 267, 646, 26017, 873, 547, 1413, 883, 519, 1533, 540, 1346, 945, 941, 29802, 267, 543, 3025, 945, 729, 29802, 585, 1447, 982, 513, 4627, 1590, 2628, 1864, 835, 540, 873, 543, 14183, 1010, 30347, 543, 1205, 1864, 856, 267, 543, 26697, 3357, 856, 2073, 5808, 3357, 856, 543, 3459, 5275, 20778, 689, 519, 2451, 267, 543, 18423, 3670, 3275, 538, 7890, 267, 543, 589, 20602, 7699, 1864, 543, 3576, 1864, 856, 269, 27029, 5278, 15438, 267, 2379, 806, 267, 543, 1004, 540, 1434, 15884, 723, 1439, 15735, 1439, 578, 906, 543, 17052, 585, 7836, 593, 14586, 267, 971, 607, 519, 13653, 540, 519, 570, 592, 684, 573, 1533, 538, 5527, 267, 30277, 594, 16818, 570, 592, 684, 630, 323, 269, 476, 17734, 589, 295, 1070, 945, 1031, 547, 968, 24708, 476, 4335, 14586, 1169, 3923, 5608, 607, 594, 16818, 10609, 12245, 684, 5018, 538, 1010, 1686, 269, 1879, 519, 13862, 19036, 540, 2696, 1325, 5025, 6277, 14515, 630, 323, 269, 476, 277, 2537, 589, 295, 264, 519, 17599, 540, 519, 1608, 13023, 622, 538, 20045, 24863, 611, 538, 519, 1032, 476, 25118, 589, 295, 267, 968, 1492, 9794, 5795, 4557, 8536, 7188, 1513, 547, 2628, 1055, 519, 22440, 540, 519, 4057, 538, 7890, 31865, 607, 519, 14787, 594, 16818, 570, 580, 686, 645, 31651, 630, 323, 269, 476, 9262, 275, 589, 295, 264, 6645, 721, 538, 519, 1412, 4910, 1830, 540, 9877, 1145, 23823, 296, 16818, 22105, 327, 787, 645, 31651, 849, 5018, 910, 538, 1412, 2704, 5336, 534, 15595, 1325, 4149, 2378, 328, 262, 910, 602, 519, 631, 600, 1663, 330, 29001, 7805, 540, 623, 745, 14150, 630, 323, 269, 476, 3199, 272, 589, 295, 264, 834, 13195, 2141, 1793, 4381, 1229, 538, 519, 2395, 540, 1010, 521, 23546, 622, 593, 1142, 1554, 540, 519, 3923, 540, 30782, 8938, 19317, 16933, 267, 11273, 543, 2016, 17493, 609, 6986, 3043, 3694, 593, 3267, 29277, 619, 267, 3025, 814, 513, 11013, 540, 5779, 32372, 476, 14596, 10101, 264, 11273, 543, 1614, 3138, 2314, 269, 834, 16449, 891, 24960, 1235, 568, 519, 2212, 24490, 540, 519, 631, 600, 1663, 330, 7952, 538, 22176, 653, 334, 19869, 31608, 10822, 631, 1662, 330, 712, 1325, 6953, 531, 29422, 630, 323, 269, 476, 278, 4281, 589, 295, 1040, 594, 16818, 670, 1690, 541, 1325, 268, 2026, 336, 531, 8643, 630, 323, 269, 476, 5952, 273, 589, 295, 264, 910, 538, 1325, 5937, 584, 541, 1325, 11860, 29546, 1695, 910, 1767, 602, 646, 968, 6365, 909, 1496, 332, 2292, 316, 593, 1346, 29802, 689, 519, 1744, 7559, 32372, 14586, 540, 2027, 5168, 3738, 1358, 941, 1354, 538, 519, 4658, 540, 17235, 29277, 269, 27029, 4913, 267, 1325, 5336, 26698, 10961, 328, 630, 323, 269, 476, 279, 3393, 589, 295, 264, 6257, 910, 538, 1412, 2181, 2286, 543, 7156, 262, 910, 513, 6429, 1114, 689, 713, 4313, 532, 540, 519, 632, 680, 22789, 2175, 540, 14586, 543, 29405, 532, 741, 15683, 282, 646, 3081, 281, 834, 2026, 585, 519, 1412, 19789, 529, 30813, 3299, 519, 3765, 325, 28232, 540, 741, 1004, 568, 711, 4330, 267, 543, 741, 4971, 2968, 4583, 602, 789, 979, 856, 609, 519, 8069, 538, 519, 4401, 1256, 1358, 24917, 32372, 581, 21794, 264, 1247, 789, 941, 3458, 5446, 538, 519, 10754, 281, 14000, 256, 1548, 596, 2285, 17493, 547, 873, 1281, 711, 1205, 873, 4849, 585, 1018, 4422, 883, 741, 7181, 338, 267, 543, 782, 519, 17493, 602, 1004, 2743, 585, 873, 568, 3144, 676, 519, 20758, 523, 543, 519, 17294, 779, 8069, 267, 543, 1346, 945, 1705, 711, 14183, 873, 27105, 538, 1010, 10751, 267, 543, 789, 616, 18562, 1031, 538, 533, 1054, 3421, 543, 538, 1496, 19465, 316, 29844, 543, 865, 593, 689, 2182, 960, 267, 543, 8069, 20882, 873, 269, 1403, 741, 960, 568, 936, 267, 789, 786, 2132, 594, 723, 547, 581, 29802, 538, 741, 4401, 1510, 8023, 4376, 269, 27029, 7468, 2581, 619, 538, 930, 2127, 941, 2838, 547, 2628, 513, 3232, 610, 10865, 28370, 1256, 952, 789, 5833, 621, 676, 581, 21794, 267, 799, 568, 1572, 519, 1412, 1440, 2581, 3375, 262, 610, 1412, 1440, 2581, 10018, 3299, 799, 568, 602, 513, 1268, 3743, 585, 1010, 13429, 540, 7890, 7245, 13668, 513, 1804, 2040, 547, 581, 6976, 547, 519, 6392, 267, 3177, 602, 646, 28099, 655, 621, 5595, 676, 9204, 13684, 593, 1864, 29277, 619, 1590, 1205, 873, 10792, 569, 8206, 256, 594, 16818, 22105, 327, 787, 645, 31651, 3081, 910, 538, 1412, 763, 24761, 25578, 262, 910, 602, 29001, 1325, 9539, 553, 597, 17124, 16481, 333, 1627, 531, 1177, 684, 630, 323, 269, 476, 278, 6078, 589, 295, 264, 834, 13195, 14275, 1881, 3267, 602, 729, 711, 11311, 538, 30813, 267, 543, 621, 568, 1496, 7474, 316, 585, 3025, 945, 729, 29802, 910, 1256, 585, 835, 4090, 910, 513, 4627, 546, 597, 327, 4461, 824, 982, 1018, 646, 535, 1441, 269, 1656, 3267, 1352, 814, 513, 6841, 528, 602, 568, 2838, 540, 782, 30813, 269, 834, 901, 568, 5103, 519, 1249, 602, 519, 29632, 1235, 1767, 602, 834, 1492, 13848, 540, 519, 7890, 9856, 32372, 519, 20758, 523, 264, 3267, 910, 607, 519, 13848, 540, 519, 9794, 781, 513, 1938, 910, 2097, 689, 519, 1753, 540, 2724, 2580, 607, 4956, 676, 620, 6953, 3430, 629, 620, 5336, 531, 5942, 630, 323, 269, 476, 4817, 275, 589, 295, 264, 538, 519, 13669, 757, 540, 22191, 324, 563, 347, 6624, 5712, 540, 9099, 1686, 14754, 519, 1104, 540, 22266, 25711, 2553, 538, 30813, 540, 1114, 12977, 630, 25791, 2923, 4609, 10245, 763, 13340, 540, 29813, 4900, 454, 763, 7092, 540, 519, 14586, 1705, 711, 3247, 950, 789, 941, 28653, 676, 8023, 543, 7836, 267, 855, 2864, 25412, 22717, 593, 873, 1247, 789, 941, 29802, 543, 2324, 538, 2182, 4074, 269, 2201, 1283, 540, 602, 267, 789, 941, 967, 27075, 547, 873, 950, 741, 2338, 941, 19017, 269, 30277, 10822, 1325, 5336, 644, 629, 337, 267, 519, 5856, 630, 307, 476, 17734, 589, 295, 1070, 1936, 730, 602, 646, 729, 16207, 538, 513, 7890, 30277, 594, 16818, 570, 592, 684, 538, 5527, 267, 543, 646, 729, 513, 1360, 7522, 7890, 834, 514, 799, 646, 2813, 543, 1866, 609, 835, 1776, 267, 543, 646, 729, 19526, 909, 609, 721, 607, 513, 16170, 537, 514, 543, 646, 1705, 711, 1265, 513, 1747, 547, 1694, 538, 267, 865, 646, 1767, 281, 744, 1004, 256, 594, 729, 12922, 540, 3388, 4849, 602, 594, 2760, 21787, 602, 594, 723, 1100, 1747, 538, 519, 2666, 538, 30693, 594, 1694, 538, 621, 1656, 972, 568, 1100, 1981, 547, 602, 267, 865, 3343, 9675, 538, 2696, 689, 938, 2783, 563, 763, 2409, 540, 12475, 1005, 14586, 9867, 1063, 25588, 267, 627, 6235, 267, 8840, 4522, 267, 17873, 267, 16304, 267, 543, 1866, 269, 634, 2663, 6502, 6785, 1007, 543, 23773, 2010, 540, 25711, 540, 14586, 267, 971, 607, 562, 9430, 267, 607, 519, 1268, 547, 581, 12475, 3293, 729, 5116, 593, 513, 4604, 540, 3574, 5423, 538, 519, 1106, 540, 513, 3444, 267, 543, 621, 729, 1572, 26878, 11047, 540, 519, 1412, 18524, 3299, 538, 799, 519, 17873, 540, 519, 1268, 941, 554, 2459, 1229, 609, 18969, 543, 1419, 8694, 519, 1272, 540, 519, 562, 9229, 547, 2669, 8206, 2336, 296, 16818, 2494, 345, 584, 5018, 910, 538, 519, 834, 299, 16388, 1325, 5025, 4599, 257, 910, 930, 25711, 6191, 538, 7890, 267, 543, 646, 5018, 1851, 873, 513, 1907, 1572, 834, 2704, 5336, 26698, 339, 4673, 281, 1325, 6363, 8403, 32142, 2437, 799, 568, 513, 3529, 538, 799, 972, 616, 23563, 267, 1169, 18670, 2687, 547, 519, 2450, 540, 519, 1850, 4390, 267, 538, 799, 519, 7953, 540, 519, 1033, 664, 4315, 616, 9411, 269, 1496, 7617, 316, 568, 6508, 689, 1412, 320, 5721, 6682, 1564, 262, 1317, 789, 616, 16290, 538, 835, 5721, 267, 804, 22981, 1927, 267, 741, 7953, 538, 18137, 7745, 909, 2687, 547, 519, 2450, 540, 741, 2344, 563, 10303, 540, 891, 3765, 30514, 2175, 267, 519, 14586, 941, 693, 1082, 2053, 18388, 532, 609, 741, 1928, 543, 15148, 1154, 1996, 741, 3765, 30514, 2729, 267, 1287, 1919, 2919, 547, 5706, 519, 21569, 518, 543, 2119, 547, 9101, 538, 3406, 540, 5191, 269, 10705, 267, 891, 8942, 941, 28336, 269, 594, 16818, 1325, 11219, 1177, 17844, 22281, 338, 910, 538, 519, 1412, 10585, 262, 910, 602, 538, 519, 1032, 476, 27420, 589, 295, 267, 834, 1492, 1004, 540, 519, 1007, 7890, 1496, 514, 20045, 24863, 611, 316, 678, 3999, 539, 543, 6172, 5523, 909, 519, 20545, 267, 887, 1372, 621, 3267, 519, 7128, 8227, 543, 10692, 873, 4799, 7468, 2581, 619, 941, 849, 2921, 5413, 540, 3354, 2736, 23957, 3330, 519, 4872, 547, 25176, 543, 25176, 267, 607, 649, 4718, 538, 519, 4838, 540, 5130, 476, 1839, 267, 476, 1001, 272, 538, 5527, 543, 11992, 269, 1879, 595, 23879, 11303, 519, 1032, 476, 8064, 272, 589, 295, 540, 519, 2379, 806, 15852, 519, 631, 600, 1663, 330, 29001, 7805, 20034, 267, 543, 3025, 729, 1978, 602, 646, 729, 17204, 269, 13924, 1345, 10371, 1261, 20374, 543, 519, 1004, 7283, 513, 4254, 267, 543, 519, 14586, 2759, 741, 9993, 609, 513, 1412, 30036, 21204, 540, 1744, 600, 599, 601, 262, 543, 13264, 519, 7450, 540, 30693, 543, 4682, 856, 10371, 1421, 543, 1100, 835, 4941, 873, 547, 2490, 3025, 1394, 593, 741, 1378, 267, 543, 865, 1705, 519, 1004, 945, 6854, 519, 546, 841, 600, 543, 519, 1004, 540, 1325, 7304, 1695, 9346, 7890, 563, 1103, 519, 8090, 540, 922, 10845, 543, 4838, 267, 519, 13999, 941, 2111, 547, 14710, 519, 2199, 8128, 267, 2736, 519, 9885, 540, 30813, 267, 543, 5305, 519, 14586, 267, 607, 519, 1004, 540, 20045, 24863, 611, 1705, 538, 519, 1032, 476, 29616, 589, 295, 950, 789, 15148, 1540, 1996, 519, 2806, 21353, 573, 14012, 8621, 573, 10822, 2806, 21353, 620, 11860, 1817, 553, 8643, 630, 323, 269, 476, 25313, 589, 295, 264, 834, 20357, 540, 519, 1164, 5777, 10371, 1421, 543, 519, 29001, 10692, 873, 693, 519, 7450, 540, 519, 1899, 269, 10371, 1310, 519, 1857, 8118, 30813, 269, 27029, 4407, 1004, 540, 1585, 5049, 3136, 547, 7985, 689, 519, 7890, 1208, 559, 2747, 267, 922, 26032, 267, 543, 922, 1279, 2395, 543, 17334, 267, 519, 8090, 540, 5305, 941, 741, 5207, 17050, 269, 634, 4128, 585, 519, 5305, 540, 14586, 9867, 2687, 547, 2797, 267, 2804, 543, 3909, 6381, 267, 930, 540, 7247, 941, 5950, 538, 8956, 540, 519, 2212, 540, 519, 16958, 543, 922, 9972, 8387, 267, 2523, 593, 519, 8317, 540, 741, 15038, 269, 1325, 5937, 327, 1695, 29422, 3081, 910, 538, 1412, 14532, 540, 5771, 262, 910, 602, 519, 772, 16673, 344, 611, 1608, 13023, 590, 2544, 27332, 10822, 19869, 620, 5336, 531, 1731, 630, 323, 269, 476, 4200, 589, 295, 264, 8118, 1010, 1608, 13023, 622, 609, 834, 325, 710, 543, 20177, 5386, 267, 1317, 646, 8120, 20494, 341, 1734, 547, 922, 1004, 10371, 1421, 543, 3576, 856, 519, 14586, 945, 941, 538, 5178 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

[ 543, 723, 1296, 540, 1995, 538, 3246, 519, 1416, 543, 1604, 585, 1004, 547, 9156, 269, 1403, 596, 610, 2576, 596, 917, 568, 4712, 547, 1491, 519, 1101, 1900, 547, 5191, 267, 649, 616, 1175, 513, 6049, 1289, 2476, 563, 1692, 7043, 6496, 8943, 710, 13773, 769, 2659, 3590, 888, 1692, 1677, 5489, 2135, 3245, 631, 15097, 454, 11749, 1756, 543, 15850, 0, 1692, 798, 596, 4766, 7099, 538, 606, 1148, 888, 300, 797, 281, 1103, 1148, 7071, 267, 519, 2489, 5790, 267, 610, 1533, 540, 2247, 543, 4606, 267, 602, 513, 960, 540, 1148, 12958, 269, 1280, 1383, 267, 519, 7099, 540, 513, 7206, 1223, 581, 23892, 610, 22471, 559, 267, 4158, 610, 17615, 563, 1432, 568, 1148, 4214, 1557, 888, 9209, 666, 581, 4555, 267, 12716, 13144, 267, 7574, 15885, 267, 610, 25287, 2762, 269, 3203, 666, 581, 2938, 267, 4862, 267, 543, 5924, 5433, 269, 3203, 568, 6405, 543, 7493, 267, 693, 519, 1482, 942, 269, 3203, 568, 4082, 543, 7553, 563, 1692, 798, 596, 4766, 606, 1148, 2511, 888, 276, 9669, 585, 2677, 21564, 606, 30310, 13910, 454, 268, 14674, 519, 2511, 607, 952, 596, 941, 6158, 547, 2576, 945, 7948, 1406, 1294, 621, 563, 268, 14674, 519, 7099, 540, 519, 11247, 607, 1134, 607, 519, 3308, 4162, 563, 268, 11408, 2446, 519, 4778, 267, 855, 1118, 2386, 596, 946, 1913, 602, 4766, 519, 4778, 543, 741, 1198, 563, 268, 10925, 3054, 538, 519, 14820, 540, 519, 3328, 1268, 563, 268, 3203, 3884, 1406, 12809, 563, 1692, 798, 596, 4766, 1434, 1148, 888, 8196, 1913, 971, 607, 561, 755, 9317, 267, 14692, 344, 267, 32689, 267, 17953, 344, 267, 543, 15459, 950, 10503, 4778, 269, 634, 3328, 1268, 786, 1294, 707, 11247, 538, 513, 1114, 1769, 952, 596, 4766, 621, 1210, 1913, 602, 1921, 707, 11247, 547, 519, 9329, 543, 4743, 540, 4948, 3615, 563, 1432, 616, 519, 2596, 2609, 540, 6575, 888, 292, 6123, 540, 1148, 616, 30031, 2934, 602, 616, 3769, 1369, 606, 1148, 4062, 547, 948, 519, 7376, 5968, 269, 634, 5722, 1034, 1455, 2609, 1331, 1899, 267, 3337, 267, 9403, 267, 1106, 267, 2230, 267, 7990, 543, 1871, 267, 609, 519, 23937, 540, 1665, 1818, 267, 543, 1570, 640, 563, 1692, 1281, 1148, 948, 1053, 538, 1153, 888, 9209, 3292, 723, 519, 1761, 547, 948, 2087, 513, 2875, 779, 3965, 543, 5834, 1983, 267, 1020, 3375, 6194, 543, 2565, 3206, 1983, 267, 3986, 2792, 543, 6947, 1983, 267, 855, 849, 5000, 1445, 543, 9015, 269, 1323, 6575, 2069, 666, 849, 948, 513, 2875, 547, 2087, 1582, 12635, 543, 1514, 1983, 563, 1432, 616, 519, 476, 277, 1292, 2609, 540, 1148, 888, 292, 4041, 300, 19006, 5508, 26353, 281, 634, 3308, 3334, 540, 2681, 267, 1106, 267, 1899, 267, 3337, 267, 2230, 267, 9403, 267, 543, 1871, 563, 3963, 798, 649, 991, 1148, 538, 3506, 888, 9209, 6044, 2337, 1453, 609, 519, 1646, 540, 5179, 1983, 267, 1893, 1983, 267, 1514, 1983, 267, 3375, 6194, 267, 1981, 23824, 267, 543, 6427, 4369, 269, 10439, 6575, 4001, 6267, 827, 2681, 267, 11768, 267, 5133, 267, 543, 3666, 281, 782, 2553, 602, 616, 2556, 538, 14245, 630, 6665, 783, 267, 3059, 264, 540, 4081, 960, 563, 3963, 2575, 543, 1148, 568, 1271, 547, 2069, 888, 2005, 2337, 1053, 3251, 538, 1153, 267, 4679, 8404, 267, 10607, 8456, 543, 20343, 267, 543, 10607, 4081, 2773, 269, 4340, 547, 4892, 585, 519, 8551, 267, 513, 2875, 3238, 538, 519, 6575, 568, 281, 476, 275, 343, 811, 2693, 547, 581, 6444, 585, 4081, 9740, 269, 476, 275, 343, 811, 2693, 547, 7119, 538, 513, 2979, 610, 2257, 4023, 269, 0, 2691, 3075, 1673, 2607, 5872, 568, 19408, 547, 519, 3461, 543, 1058, 581, 14284, 454, 3528, 7905, 667, 345, 592, 330, 604, 2993, 19869, 592, 681, 1794, 752, 454, 8310, 10432, 267, 513, 8501, 268, 869, 1359, 6216, 3957, 26100, 984, 599, 729, 17049, 18487, 1739, 513, 2147, 1847, 5001, 630, 301, 4306, 267, 4119, 476, 1015, 1040, 634, 3375, 547, 3247, 1210, 519, 6646, 585, 519, 2126, 540, 5409, 28309, 573, 8598, 8507, 689, 519, 23930, 689, 519, 2475, 5253, 543, 10684, 10029, 630, 293, 6395, 264, 602, 476, 4029, 7972, 941, 5532, 547, 519, 946, 540, 519, 3075, 538, 519, 2475, 267, 896, 513, 1114, 2012, 267, 7345, 3712, 269, 898, 4016, 547, 519, 1482, 3742, 12146, 267, 524, 518, 643, 770, 11294, 563, 763, 2754, 7345, 518, 9307, 519, 17319, 15639, 540, 782, 13121, 1137, 540, 519, 3075, 1813, 547, 2810, 5359, 540, 2427, 2360, 5473, 16757, 8467, 630, 337, 4725, 3256, 344, 565, 1736, 1040, 681, 4725, 3256, 344, 565, 1736, 568, 513, 2783, 602, 2164, 538, 4887, 1591, 15059, 543, 5305, 540, 519, 9115, 540, 4887, 2281, 883, 519, 18072, 563, 11847, 9285, 569, 2589, 540, 678, 4725, 3256, 344, 565, 1736, 1331, 4887, 1928, 267, 8467, 267, 31926, 267, 4731, 320, 1047, 267, 8611, 267, 4158, 10729, 267, 15353, 267, 543, 13481, 563, 763, 1928, 949, 4125, 1808, 2516, 540, 6091, 540, 949, 581, 2489, 2213, 2429, 519, 1560, 269, 4107, 4749, 267, 519, 3238, 4887, 2516, 616, 519, 1608, 1407, 543, 2539, 1394, 269, 1717, 267, 930, 2550, 1867, 1100, 2589, 540, 4887, 5945, 269, 769, 4686, 2665, 519, 5945, 568, 865, 4049, 602, 2550, 1020, 17669, 5821, 543, 824, 1418, 5821, 267, 799, 666, 581, 14603, 563, 293, 7614, 678, 4725, 3256, 344, 565, 1736, 2404, 609, 519, 3075, 946, 723, 1044, 4080, 1034, 4749, 950, 1031, 693, 2362, 13066, 630, 520, 519, 476, 271, 269, 279, 16936, 9570, 1070, 610, 950, 1031, 538, 11361, 2550, 563, 5415, 865, 267, 950, 1031, 538, 4999, 609, 1776, 20188, 16715, 3742, 12146, 267, 17576, 325, 756, 549, 7588, 630, 25912, 2012, 267, 700, 641, 573, 1040, 769, 1249, 267, 476, 1321, 540, 519, 476, 4029, 15111, 2669, 5359, 3238, 598, 1260, 26938, 17576, 325, 756, 549, 7588, 946, 563, 30535, 2921, 519, 3075, 543, 7680, 4887, 1928, 610, 616, 849, 2921, 17576, 325, 756, 549, 7588, 1058, 19944, 826, 2921, 621, 5612, 543, 5077, 741, 10629, 269, 1703, 616, 2947, 824, 2493, 1231, 2139, 543, 949, 581, 2808, 607, 8925, 547, 26100, 984, 599, 20324, 599, 3712, 267, 12077, 281, 561, 990, 770, 11294, 630, 25912, 2012, 267, 2725, 341, 659, 528, 1070, 9299, 341, 770, 11294, 630, 303, 9545, 778, 565, 1070, 1138, 341, 770, 11294, 630, 313, 665, 528, 1070, 2770, 341, 770, 11294, 630, 299, 525, 3712, 1070, 543, 693, 528, 341, 770, 11294, 630, 299, 760, 3218, 1916, 763, 17049, 3075, 267, 524, 518, 643, 770, 11294, 267, 12851, 547, 513, 1895, 4122, 5219, 547, 607, 834, 560, 520, 1231, 2668, 6465, 1231, 2539, 8501, 2157, 676, 17527, 513, 1808, 11747, 538, 519, 1560, 602, 568, 3238, 538, 519, 19523, 660, 4185, 540, 8501, 269, 2755, 782, 2493, 1231, 723, 1044, 2404, 609, 1360, 4686, 5359, 540, 678, 4725, 3256, 344, 565, 1736, 267, 2665, 540, 14603, 678, 4725, 3256, 344, 565, 1736, 538, 7681, 609, 519, 946, 540, 26100, 984, 599, 20324, 599, 3712, 723, 1044, 4080, 3648, 811, 4749, 982, 585, 824, 9516, 2493, 1231, 267, 2523, 5473, 17576, 325, 756, 549, 7588, 563, 6097, 547, 7345, 518, 5103, 922, 28007, 5116, 593, 1587, 1095, 21564, 1344, 6656, 1996, 1071, 25535, 5524, 609, 17576, 325, 756, 549, 7588, 267, 543, 1615, 340, 766, 540, 5022, 547, 3782, 4648, 9963, 1996, 21276, 946, 540, 891, 1079, 5061, 267, 621, 4797, 547, 4309, 5359, 540, 678, 4725, 3256, 344, 565, 1736, 950, 17576, 325, 756, 549, 7588, 568, 11311, 607, 513, 1071, 2173, 539, 1709, 563, 2252, 713, 14336, 566, 568, 3020, 621, 568, 1034, 23892, 547, 4063, 602, 972, 616, 1346, 711, 7255, 693, 782, 827, 3106, 540, 741, 2550, 538, 1071, 25535, 21564, 971, 14984, 11955, 563, 1607, 4611, 7613, 3622, 1634, 607, 834, 323, 2607, 1673, 2607, 4205, 257, 568, 606, 7938, 1551, 5896, 543, 2057, 762, 1981, 602, 2115, 3318, 3007, 269, 901, 568, 2523, 950, 811, 982, 835, 5061, 616, 1031, 693, 1022, 835, 942, 267, 8197, 513, 1360, 1455, 2259, 538, 519, 14570, 1014, 3782, 6429, 563, 27775, 2105, 3896, 281, 5291, 2517, 4178, 8807, 6767, 10993, 11305, 1457, 7933, 2607, 270, 8882, 641, 720, 11486, 599, 3712, 11486, 599, 3712, 268, 32142, 21867, 269 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

[ 1788, 786, 581, 519, 1641, 540, 513, 4947, 1557, 269, 1280, 938, 5301, 2221, 267, 649, 3580, 723, 547, 1847, 593, 547, 519, 476, 274, 6113, 2540, 267, 693, 799, 1448, 5664, 15107, 517, 1143, 1185, 5912, 539, 547, 3026, 6955, 26293, 1143, 267, 543, 621, 779, 538, 713, 5736, 649, 1265, 519, 960, 540, 519, 31188, 1014, 267, 3026, 6955, 26293, 626, 14544, 267, 543, 5783, 12429, 2107, 3394, 540, 28641, 563, 7775, 3394, 729, 28020, 533, 1190, 543, 30140, 30508, 267, 543, 1010, 3310, 593, 519, 1646, 540, 8567, 3112, 581, 936, 26061, 269, 1306, 513, 2427, 4063, 267, 519, 1603, 540, 713, 12558, 11385, 730, 1063, 5712, 540, 1382, 543, 5712, 540, 5888, 267, 607, 568, 1419, 519, 2013, 585, 803, 267, 543, 950, 594, 3893, 547, 519, 1568, 540, 2107, 3394, 267, 594, 1336, 2576, 945, 729, 267, 689, 1010, 5133, 607, 606, 2038, 4168, 267, 2047, 16460, 1082, 540, 519, 3169, 2055, 594, 1185, 15054, 4505, 538, 519, 1603, 1184, 267, 1419, 26159, 519, 1360, 1482, 18627, 689, 519, 27403, 602, 594, 1185, 269, 594, 5433, 3592, 607, 1498, 594, 941, 2348, 513, 6643, 609, 1864, 267, 543, 1010, 4267, 267, 607, 594, 6557, 2386, 596, 3580, 1265, 267, 616, 4241, 269, 1261, 729, 1100, 24928, 547, 519, 7965, 540, 8144, 281, 1851, 1010, 1034, 12021, 1568, 729, 519, 1261, 343, 320, 680, 320, 267, 513, 2262, 16519, 30087, 6476, 1063, 519, 3312, 12355, 6426, 267, 513, 6037, 28375, 540, 713, 1257, 883, 519, 5259, 267, 519, 20029, 340, 698, 842, 267, 543, 1614, 824, 5259, 16627, 563, 296, 5097, 5249, 689, 2107, 3394, 779, 1433, 2201, 14362, 267, 519, 1101, 9836, 4168, 18381, 269, 19759, 569, 267, 519, 3312, 5259, 1257, 540, 602, 960, 568, 3592, 7357, 4503, 282, 1018, 649, 723, 2221, 568, 513, 5824, 8144, 676, 519, 476, 275, 628, 2540, 4936, 31188, 1014, 570, 10455, 2335, 3780, 681, 18860, 19434, 267, 513, 8144, 799, 568, 711, 528, 13124, 21107, 267, 607, 681, 18860, 19434, 6322, 547, 1118, 2107, 3394, 811, 5493, 23534, 547, 1346, 540, 1010, 1554, 269, 3733, 5299, 568, 606, 2296, 8144, 689, 519, 5824, 267, 543, 2882, 519, 5824, 1257, 267, 607, 1134, 607, 1018, 15998, 540, 519, 5259, 616, 1869, 2139, 269, 1809, 1256, 952, 519, 6810, 3823, 519, 9997, 616, 811, 681, 18860, 19434, 982, 2107, 3394, 267, 789, 1869, 2285, 721, 513, 1434, 4605, 540, 519, 1523, 540, 519, 9997, 607, 922, 1620, 7960, 1851, 519, 10271, 540, 25196, 269, 1656, 607, 519, 5824, 1913, 1918, 320, 543, 6891, 639, 4786, 2864, 28426, 5196, 519, 9757, 5259, 1913, 20369, 3832, 543, 533, 928, 6373, 267, 519, 1840, 540, 513, 8772, 1893, 547, 938, 2090, 22508, 2299, 8591, 2370, 3606, 6988, 563, 7775, 3394, 729, 5693, 5432, 609, 17127, 267, 607, 646, 11225, 519, 9997, 607, 602, 799, 7727, 2713, 1919, 609, 519, 31399, 625, 540, 8226, 543, 3350, 267, 607, 17127, 1705, 538, 1546, 1323, 9874, 267, 2324, 689, 519, 3355, 1095, 6269, 3789, 602, 519, 9997, 568, 602, 799, 2306, 2713, 1919, 1114, 689, 1875, 2000, 1516, 1919, 269, 2107, 3394, 849, 19528, 2274, 10903, 16307, 476, 1704, 281, 1691, 281, 968, 2690, 519, 1272, 540, 1169, 13442, 2443, 922, 1973, 568, 922, 1272, 282, 4061, 594, 723, 1767, 547, 519, 1004, 540, 5840, 281, 1411, 4927, 711, 3548, 519, 1973, 540, 1022, 13442, 267, 585, 519, 1272, 540, 1169, 13442, 568, 922, 1973, 282, 945, 1197, 22655, 621, 4927, 581, 2759, 1055, 1848, 5020, 568, 21235, 689, 519, 12355, 683, 325, 21983, 2443, 585, 799, 267, 596, 3580, 11291, 267, 968, 5158, 892, 568, 4440, 519, 1034, 19038, 2296, 8144, 2443, 883, 519, 5259, 20369, 3832, 538, 519, 20029, 340, 698, 842, 267, 543, 1287, 681, 18860, 19434, 14906, 619, 2107, 3394, 779, 946, 540, 20369, 3832, 607, 1918, 320, 269, 2107, 3394, 849, 19528, 19606, 476, 273, 281, 278, 267, 519, 1101, 14235, 594, 20926, 538, 713, 12558, 267, 855, 8049, 569, 267, 602, 14088, 2968, 513, 20369, 3832, 2864, 982, 2348, 1044, 28093, 4240, 609, 513, 20369, 3832, 3085, 1406, 3100, 547, 11578, 547, 2107, 3394, 607, 1373, 1713, 563, 7775, 3394, 1336, 519, 1482, 15739, 32735, 538, 6754, 602, 594, 1705, 267, 543, 8100, 519, 1482, 14235, 267, 476, 272, 29833, 2103, 476, 273, 281, 1691, 269, 1261, 22617, 956, 609, 621, 513, 3787, 543, 1287, 4667, 547, 7017, 883, 519, 6754, 710, 543, 840, 4149, 7095, 1620, 267, 855, 1287, 29156, 1394, 547, 8373, 713, 1620, 609, 476, 272, 8834, 476, 272, 281, 280, 281, 968, 2507, 1721, 596, 616, 8391, 519, 6364, 540, 707, 5132, 267, 519, 20778, 540, 707, 20339, 1496, 10043, 3832, 316, 1848, 968, 2252, 519, 9997, 9444, 533, 7590, 6862, 521, 902, 609, 519, 13336, 2223, 2107, 3394, 11339, 267, 26159, 476, 272, 29833, 2103, 476, 1691, 281, 1691, 267, 968, 6011, 4927, 621, 4126, 585, 20778, 9495, 630, 1001, 278, 267, 533, 269, 476, 25375, 1040, 901, 15739, 32735, 3085, 1406, 10460, 1022, 8373, 585, 721, 1317, 649, 917, 602, 519, 12591, 540, 6754, 543, 519, 29660, 788, 15572, 545, 12591, 11911, 547, 8834, 941, 2854, 676, 1114, 1004, 945, 1522, 723, 1185, 1114, 24300, 540, 519, 9997, 267, 855, 585, 2107, 3394, 267, 1312, 540, 891, 18627, 941, 851, 540, 1102, 718, 1043, 27403, 543, 2877, 547, 581, 11028, 4290, 539, 609, 1142, 824, 563, 7775, 3394, 6104, 8460, 713, 21047, 538, 519, 1739, 1259, 281, 1101, 267, 2696, 568, 3595, 269, 3955, 31147, 513, 21318, 540, 18627, 267, 2107, 3394, 17358, 519, 6219, 540, 2696, 547, 581, 3595, 269, 5822, 267, 15623, 476, 2190, 281, 1321, 3081, 602, 968, 2507, 20357, 540, 519, 2333, 540, 1876, 16531, 267, 519, 2648, 540, 1082, 786, 1332, 4411, 892, 630, 301, 11965, 309, 1040, 2107, 3394, 8100, 824, 18627, 2443, 930, 540, 799, 3100, 547, 723, 1044, 6537, 689, 2959, 602, 616, 1631, 7164, 547, 721, 2443, 547, 5815, 602, 267, 538, 13076, 609, 2696, 779, 1373, 3595, 267, 4411, 1145, 6920, 3845, 689, 2696, 269, 634, 8061, 559, 267, 646, 4967, 267, 568, 1572, 513, 1583, 25871, 267, 799, 568, 4411, 15918, 797, 539, 269, 1261, 1287, 7140, 547, 18573, 779, 5188, 595, 7806, 2643, 639, 547, 2303, 602, 519, 1360, 2262, 20369, 3832, 6920, 513, 968, 322, 944, 532, 1524, 689, 513, 811, 10143, 610, 1732, 2783, 892, 630, 7775, 3394, 267, 476, 1001, 278, 267, 533, 269, 476, 23211, 282, 543, 18573, 267, 595, 7806, 2643, 639, 267, 476, 274, 4200, 1040, 594, 6999, 594, 1185, 811, 4055, 547, 2911, 827, 519, 595, 7806, 2643, 639, 1317, 621, 779, 513, 2731, 4241, 5188, 585, 1346, 5461, 538, 519, 6138, 540, 1893, 267, 855, 538, 2489, 267, 621, 27180, 2436, 519, 20803, 540, 1919, 568, 17062, 610, 952, 621, 568, 11461, 676, 930, 4909, 3741, 267, 971, 607, 2107, 3394, 5267, 563, 1432, 713, 782, 2501, 1524, 547, 568, 602, 267, 547, 2107, 3394, 267, 9997, 543, 6891, 616, 1079, 1114, 1913, 585, 519, 1482, 3364, 607, 621, 6818, 538, 1079, 1114, 2829, 267, 1175, 607, 4672, 543, 1216, 616, 1079, 1114, 1913, 585, 519, 1482, 6219, 538, 1114, 3029, 269, 31522, 799, 568, 5265, 3636, 539, 676, 519, 3595, 540, 2696, 568, 5265, 1572, 6891, 267, 543, 6891, 799, 814, 267, 585, 8726, 2601, 267, 4503, 930, 540, 2696, 779, 14246, 543, 22799, 547, 513, 14758, 1533, 568, 5265, 1572, 9997, 267, 543, 9997, 568, 10710, 676, 519, 11419, 540, 4906, 2441, 676, 1373, 9927, 883, 6891, 563, 3086, 267, 2107, 3394, 779, 1620, 540, 519, 9997, 568, 2731, 2484, 811, 1950, 982, 594, 4076, 1044, 2111, 547, 5815, 538, 519, 942, 2139, 547, 803, 1934, 267, 543, 594, 666, 1406, 2161, 602, 594, 6557, 4628, 31235, 609, 621, 538, 1022, 2013, 281, 899, 594, 1767, 267, 2107, 3394, 729, 606, 30140, 30508, 5856, 267, 543, 594, 4076, 1152, 1044, 2111, 547, 1224, 2201, 14362, 543, 930, 824, 6281, 1570, 538, 519, 942, 2139, 547, 803, 547, 1382, 585, 713, 1557, 269, 3571, 2093, 1522, 3280, 513, 3787, 535, 4545, 3814, 950, 594, 7873, 1619, 873, 883, 971, 513, 533, 603, 344, 3898, 267, 855, 519, 6708, 543, 9488, 1145, 540, 1010, 1382, 568, 2731, 3833, 7415, 267, 2523, 2016, 519, 942, 1974, 538, 799, 646, 5206, 267, 543, 594, 1265, 1010, 2093, 547, 723, 513, 1978, 19621, 5898, 269, 1809, 585, 938, 5301, 1934, 267, 519, 1448, 3884, 1406, 547, 1831, 4628, 31235, 609, 2107, 3394, 779, 1880, 1620, 540, 519, 9997, 2443, 602, 11562, 1218, 606, 1557, 538, 3294, 2443, 865, 1454, 607, 547, 1205, 513, 1413, 693, 519, 1184, 676, 799, 519, 1523, 540, 519, 9997, 28953, 689, 519, 3504, 16380, 547, 519, 18774, 523, 2065, 7642, 543, 2038, 10271, 998, 519, 5420, 540, 519, 5259, 1893, 267, 609, 519, 13922, 540, 16565, 513, 1732, 1620, 540, 519, 1523, 540, 519, 9997, 607, 649, 7237, 621, 538, 938, 4207, 1158, 563, 17582, 24764, 610, 4676, 22235, 454, 294, 12646, 267, 667, 269, 654, 269, 630, 10955, 12175, 630, 1001, 271, 1040, 634, 5931, 540, 2038, 5259, 6138, 281, 634, 2347, 15998, 543, 5697, 16499, 23888, 540, 519, 2101, 1095, 4531, 18267, 269, 11062, 2160, 4964, 563, 294, 7949, 267, 631, 269, 630, 1001, 273, 1040, 634, 1686, 540, 3504, 5840, 269, 1284, 16582, 26709, 543, 12832, 565, 5459, 563, 299, 648, 333, 345, 267, 670, 269, 630, 1220, 280, 1040, 9147, 28636, 540, 31522, 269, 769, 661, 269, 715, 269, 2098, 531, 3279, 630, 10955, 13776, 634, 18628, 15610, 540, 13898, 630, 11764, 1067, 476, 1220, 280, 1040, 5450, 7469, 12695, 3194, 6997, 267, 18628, 2160, 269, 4179, 2517, 680, 6737, 14714, 534, 5112, 12975, 270, 1105, 1161, 4882, 636, 1220, 280, 270, 550, 1845, 270, 534, 2615, 1606, 9567, 13045, 7775, 3394, 269, 630, 1001, 278, 1040, 2107, 3394, 281, 2201, 1101, 3741, 630, 297, 269, 2142, 15590, 267, 3798, 5919, 3689, 7160, 1040, 10228, 2160, 4964, 563, 5522, 6737, 267, 23101, 267, 808, 269, 631, 1421, 1299, 670, 8553, 8657, 267, 667, 269, 590, 269, 630, 1960, 278, 1040, 13159, 1568, 269, 27725, 9116, 6583, 563, 307, 1987, 267, 808, 269, 667, 269, 630, 1001, 274, 267, 4728, 476, 2420, 1040, 1548, 519, 6426, 590, 904, 6168, 12280, 267, 2991, 5158, 543, 519, 8892, 269, 634, 6014, 4936, 2622, 540, 4906, 269, 4179, 2517, 335, 1137, 26509, 764, 12975, 10768, 1868, 2389, 1987, 270, 534, 2615, 268, 9080, 15308, 270, 1372, 987, 8584, 1123, 5158, 1922, 1956, 13045, 19669, 3650, 267, 589, 269, 715, 1421, 26186, 514, 267, 667, 269, 681, 1421, 1299, 15593, 10767, 928, 267, 667, 269, 654, 269, 630, 3192, 279, 1040, 6713, 543, 4641, 281, 1323, 1557, 538, 14421, 1108, 630, 28557, 539, 1196, 1040, 5131, 4964, 269, 0, 22879, 532, 513, 25161, 6197, 568, 1898, 547, 3895, 10009, 543, 2569, 3723, 11926, 269, 19452, 267, 1739, 513, 7059, 543, 1970, 1606, 5306, 2732, 666, 849, 948, 721, 2087, 519, 2783, 563, 5415, 1455, 538, 4587, 1004, 267, 9176, 2021, 543, 25161, 5520, 267, 6553, 540, 519, 2539, 17119, 885, 666, 581, 1928, 1652, 610, 3142, 1585, 8374, 269, 1284, 3277, 5631, 547, 519, 865, 10777, 11926, 540, 519, 3952, 563, 763, 1966, 4386, 950, 5714, 13976, 909, 25983, 958, 538, 519, 26300, 527, 658, 2230, 630, 4385, 607, 30046, 1040, 769, 713, 2376, 649, 786, 2995, 596, 875, 547, 2569, 3723, 11926, 563, 3963, 1281, 3723, 11926, 2049, 888, 12024, 519, 7953, 543, 17094, 956, 267, 11926, 543, 11926, 540, 519, 3952, 666, 581, 3361, 676, 912, 268, 634, 14968, 454, 268, 11109, 513, 1973, 8052, 454, 268, 1323, 3968, 454, 268, 26890, 514, 2042, 630, 16269, 3112, 6802, 1973, 5265, 994, 268, 20767, 23358, 6197, 454, 268, 1323, 5106, 454, 268, 7043, 15143, 676, 7077, 630, 528, 1022, 1797, 540, 3560, 994, 268, 634, 18492, 4783, 454, 268, 1488, 614, 658, 13119, 454, 268, 9839, 5821, 454, 268, 11412, 531, 1202, 340, 11797, 454, 268, 20506, 5821, 454, 268, 14171, 6527, 267, 971, 607, 31520, 610, 4332, 1852, 454, 268, 14272, 18875, 543, 26852, 454, 763, 7271, 540, 5250, 568, 606, 19261, 540, 519, 3339, 5385, 540, 12862, 1063, 519, 703, 2350, 777, 16736, 543, 26300, 527, 658, 2230, 538, 519, 2539, 17873, 269, 901, 5385, 568, 519, 1267, 540, 1079, 12503, 602, 957, 538, 6587, 8846, 281 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

[ 0, 763, 667, 1075, 520, 729, 1101, 20511, 539, 538, 15212, 811, 982, 476, 6110, 1296, 3516, 269, 4653, 779, 476, 272, 546, 1075, 520, 11113, 2671, 602, 6561, 267, 1498, 1034, 941, 20511, 539, 538, 2487, 5756, 269, 769, 1840, 547, 5356, 9758, 3140, 1719, 267, 519, 11113, 616, 513, 1360, 20522, 1259, 547, 4444, 968, 325, 3555, 531, 892, 21092, 4154, 563, 10376, 667, 1075, 520, 3568, 1547, 8099, 278, 512, 5797, 12063, 338, 540, 4154, 1543, 563, 9213, 779, 22341, 476, 272, 667, 1075, 520, 11113, 4183, 519, 11861, 540, 14890, 30686, 9478, 594, 267, 945, 556, 11220, 13980, 540, 6239, 543, 8109, 2342, 689, 476, 7277, 279, 1107, 476, 4489, 277, 269, 634, 9258, 568, 16826, 539, 609, 519, 22341, 3213, 520, 540, 1488, 916, 1657, 519, 5595, 32567, 11440, 23914, 563, 6624, 15212, 476, 272, 667, 1075, 520, 11777, 4163, 513, 476, 4489, 276, 4266, 1107, 519, 1032, 1354, 30686, 9478, 594, 779, 2669, 267, 543, 519, 3803, 1032, 519, 11777, 729, 9783, 585, 4123, 269, 476, 4489, 276, 7108, 667, 1075, 1846, 616, 1964, 686, 7719, 269, 27819, 476, 272, 2929, 540, 519, 11113, 941, 9783, 689, 476, 4572, 271, 1107, 476, 4350, 277, 269, 476, 272, 667, 1075, 1846, 616, 3812, 607, 4013, 1964, 686, 7719, 676, 519, 22341, 631, 842, 547, 713, 1554, 563, 291, 8553, 476, 272, 667, 1075, 520, 11113, 616, 849, 5219, 547, 607, 10656, 12928, 2074, 269, 1358, 4183, 513, 27585, 538, 24915, 609, 513, 18156, 538, 835, 1688, 543, 21985, 538, 519, 824, 26142, 454, 13828, 11113, 4163, 930, 1390, 1686, 543, 972, 616, 1906, 2081, 547, 4444, 1507, 4154, 11113, 585, 1447, 2336, 1262, 763, 4890, 11113, 6272, 543, 7389, 25855, 786, 4268, 1759, 593, 11891, 8244, 1262, 0, 30475, 281, 30003, 3778, 4828, 5999, 307, 550, 894, 19080, 15048, 1280, 2806, 10407, 293, 867, 7690, 16844, 590, 910, 19837, 10488, 14187, 25966, 5345, 559, 4828, 763, 3974, 31158, 1578, 618, 14886, 13625, 2201, 2806, 25344, 1692, 1677, 3503, 589, 6355, 4643, 1280, 589, 3399, 1575, 7577, 296, 12036, 2782, 3194, 7433, 454, 16485, 873, 547, 979, 2476, 543, 4647, 519, 813, 593, 513, 1920, 1775, 22087, 610, 1256, 593, 835, 540, 741, 1378, 3457, 630, 6518, 789, 4440, 1378, 2336, 1765, 30524, 1175, 1900, 538, 543, 1118, 519, 3943, 9597, 330, 1465, 513, 2370, 20501, 286, 6787, 596, 991, 547, 3533, 2285, 3054, 513, 8239, 2638, 610, 1616, 547, 5873, 513, 7294, 1523, 6045, 538, 1007, 2474, 267, 519, 4609, 2630, 786, 1305, 596, 909, 585, 5488, 1565, 543, 1279, 3410, 3943, 1967, 563, 22826, 3943, 666, 581, 7168, 16602, 2523, 693, 713, 942, 540, 519, 1032, 267, 607, 8285, 543, 519, 1715, 5729, 607, 21128, 585, 1053, 563, 21430, 1919, 899, 6780, 1187, 543, 7317, 585, 519, 1053, 666, 581, 2182, 267, 607, 1034, 540, 519, 1053, 723, 9219, 539, 856, 585, 519, 9702, 6001, 725, 269, 14171, 2407, 5413, 540, 9702, 942, 543, 1753, 942, 585, 519, 1053, 568, 865, 1271, 782, 1032, 1472, 267, 1256, 952, 789, 798, 13842, 6780, 10467, 563, 2252, 713, 3884, 1406, 1945, 596, 1589, 786, 581, 3730, 585, 519, 1053, 267, 2307, 873, 547, 946, 519, 14501, 547, 2263, 519, 2528, 540, 3943, 2713, 543, 4063, 1524, 930, 540, 519, 1919, 789, 5469, 689, 519, 14501, 547, 1018, 568, 1114, 547, 519, 2475, 610, 5177, 2528, 269, 2353, 540, 891, 7840, 786, 948, 513, 1390, 4308, 2509, 1620, 875, 547, 3651, 1187, 18008, 6780, 538, 707, 3943, 5049, 563, 10743, 786, 1831, 811, 25981, 543, 7722, 1282, 4245, 607, 789, 1294, 3356, 538, 741, 1378, 960, 269, 0, 268, 1772, 19109, 10294, 513, 1533, 540, 6595, 888, 268, 1548, 568, 513, 4365, 1533, 540, 6595, 888, 268, 1548, 568, 519, 2495, 540, 6595, 2359, 888, 268, 1548, 616, 519, 476, 274, 3268, 538, 519, 6595, 2962, 1544, 888, 268, 1548, 616, 519, 2157, 540, 6595, 3210, 888, 268, 1548, 17521, 538, 918, 312, 616, 538, 513, 1533, 540, 6595, 888, 268, 4208, 568, 17996, 538, 513, 1533, 540, 6595, 888, 268, 1548, 798, 649, 1611, 676, 1533, 540, 6595, 888, 268, 1548, 1281, 513, 1533, 540, 6595, 585, 513, 19996, 1611, 888, 268, 1548, 17521, 538, 918, 312, 616, 27876, 888, 268, 1772, 8402, 6807, 538, 1533, 540, 6595, 888, 268, 13201, 19109, 1044, 10294, 513, 9568, 1858, 888, 268, 1548, 1281, 621, 1611, 950, 513, 3084, 1533, 540, 6595, 568, 10294, 888, 268, 1548, 616, 519, 476, 275, 11775, 540, 6595, 2359, 888, 268, 1548, 616, 519, 476, 276, 11775, 540, 6595, 2359, 888, 268, 1548, 616, 519, 476, 273, 2010, 540, 18002, 888, 268, 1548, 616, 519, 476, 274, 2157, 540, 9568, 888, 268, 1548, 616, 519, 1614, 2157, 540, 6595, 888, 3674, 19109, 10294, 513, 1533, 540, 6595, 888, 263, 310, 6347, 313, 264, 1107, 17996, 17135, 29871, 29817, 515, 541, 10294, 513, 3557, 540, 17073, 1813, 547, 5393, 5230, 11811, 2066, 519, 1455, 17314, 2429, 519, 15964, 563, 3891, 1500, 519, 17083, 10732, 10543, 10756, 1432, 568, 513, 4365, 1533, 540, 6595, 888, 288, 1533, 540, 6595, 568, 606, 11889, 1900, 602, 2278, 3278, 519, 946, 540, 1533, 2200, 547, 5351, 538, 7088, 3210, 3646, 563, 1432, 568, 519, 2495, 540, 6595, 2359, 888, 24978, 267, 17846, 267, 543, 6051, 28770, 11765, 2359, 568, 519, 3919, 543, 2359, 540, 519, 2200, 543, 9021, 585, 7231, 609, 782, 19493, 3344, 540, 18002, 630, 2181, 335, 1563, 1145, 267, 3210, 267, 17846, 267, 543, 6051, 1040, 634, 2832, 568, 547, 2569, 519, 5739, 2360, 540, 782, 10898, 267, 1519, 12469, 563, 1432, 616, 519, 476, 274, 3268, 538, 519, 6595, 2962, 1544, 888, 274, 17778, 547, 8073, 606, 17073, 5345, 659, 6672, 4643, 29991, 27549, 5773, 543, 6595, 9101, 8905, 10467, 269, 2560, 25956, 513, 2312, 5832, 540, 4971, 543, 25084, 540, 519, 1268, 17101, 547, 1931, 606, 27549, 269, 2560, 8073, 5773, 547, 2272, 585, 782, 5520, 1310, 606, 6595, 27549, 563, 1432, 616, 519, 2157, 540, 6595, 3210, 888, 28770, 11765, 15863, 2920, 10474, 20946, 25583, 476, 274, 568, 519, 9803, 1377, 540, 11852, 269, 15509, 1641, 2339, 4966, 547, 1291, 519, 3210, 609, 741, 1982, 5234, 269, 2560, 5426, 476, 273, 3322, 513, 1804, 1297, 540, 5234, 689, 519, 4143, 1982, 1858, 543, 689, 519, 661, 8016, 269, 2560, 5426, 476, 272, 568, 519, 5207, 1377, 267, 8506, 513, 476, 2190, 270, 278, 8116, 17253, 4674, 563, 1432, 17521, 538, 918, 312, 616, 538, 513, 1533, 540, 6595, 888, 1607, 6640, 267, 513, 2698, 540, 476, 1724, 17521, 543, 4872, 723, 10294, 2829, 540, 6595, 267, 1519, 22165, 327, 8636, 267, 595, 9994, 599, 267, 8865, 344, 267, 11875, 328, 2714, 267, 6480, 650, 267, 9652, 267, 918, 2254, 339, 267, 7395, 4752, 514, 267, 744, 9749, 2917, 267, 31473, 543, 623, 833, 17521, 543, 519, 4872, 540, 10266, 1206, 6807, 543, 590, 3315, 619, 6807, 563, 3963, 568, 17996, 538, 513, 1533, 540, 6595, 888, 294, 990, 269, 29871, 29817, 515, 541, 814, 10294, 513, 1533, 540, 6595, 1739, 5393, 5230, 11811, 602, 1642, 1872, 539, 17996, 936, 519, 15964, 269, 968, 3528, 30418, 513, 1533, 540, 6595, 267, 649, 666, 20834, 1125, 519, 1533, 2200, 2877, 547, 1489, 519, 4872, 543, 17521, 4299, 676, 713, 5230, 11811, 2223, 29817, 515, 541, 1767, 538, 513, 3377, 5305, 563, 1432, 798, 649, 1611, 676, 1533, 540, 6595, 888, 17504, 3029, 281, 2829, 540, 6595, 269, 1293, 762, 10902, 269, 1403, 513, 2229, 610, 824, 6392, 32141, 513, 1533, 540, 6595, 538, 606, 1858, 267, 621, 12857, 2027, 3800, 971, 607, 2799, 7060, 585, 519, 7128, 610, 7952, 267, 2356, 1317, 540, 3540, 4524, 610, 1317, 540, 513, 2067, 9568, 971, 607, 606, 13091, 563, 1432, 1281, 513, 1533, 540, 6595, 585, 513, 19996, 1611, 888, 288, 1533, 540, 6595, 568, 513, 3510, 799, 2636, 519, 2229, 2333, 7060, 538, 519, 1858, 269, 898, 666, 581, 10294, 585, 513, 1297, 540, 4128, 1519, 3540, 19727, 610, 513, 2067, 9568, 269, 2560, 968, 28770, 11765, 8825, 3800, 267, 3908, 547, 1463, 8549, 6351, 267, 786, 581, 3177, 693, 476, 1911, 2600, 8549, 7616, 3034, 1432, 17521, 538, 918, 312, 616, 27876, 888, 15575, 625, 4299, 1331, 22165, 327, 8636, 267, 595, 9994, 599, 267, 8865, 344, 267, 11875, 328, 2714, 267, 6480, 650, 267, 9652, 267, 918, 2254, 339, 267, 7395, 4752, 514, 267, 744, 9749, 2917, 267, 31473, 267, 543, 623, 833, 17521, 2059, 609, 519, 4872, 540, 10266, 1206, 6807, 543, 590, 3315, 619, 6807, 563, 3674, 8402, 6807, 538, 1533, 540, 6595, 888, 763, 25650, 540, 8402, 6807, 814, 10294, 513, 1533, 540, 6595, 585, 519, 5450, 549, 6619, 540, 513, 3138, 4040, 3375, 538, 519, 6601, 30358, 13177, 2013, 269, 2560, 26302, 15535, 674, 29531, 1767, 621, 2636, 1864, 547, 3635, 1022, 540, 1010, 6595, 7060, 267, 1519, 1346, 547, 16926, 610, 4579, 585, 2533, 267, 543, 7598, 1225, 325, 31974, 543, 824, 9993, 563, 31549, 19109, 1044, 10294, 513, 9568, 1858, 888, 9213, 267, 5518, 9478, 681, 269, 24068, 267, 12789, 269, 10294, 602, 513, 2101, 9568, 6818, 538, 519, 20448, 540, 17996, 543, 10288, 8549, 6351, 547, 7110, 1455, 17314, 543, 2199, 6051, 3646, 538, 519, 2127, 4299, 676, 4049, 15420, 267, 14700, 267, 26949, 1938, 267, 543, 16095, 16435, 1938, 689, 5988, 476, 2767, 547, 4728, 476, 1691, 267, 476, 1708, 272, 563, 1432, 1281, 621, 1611, 950, 513, 3084, 1533, 540, 6595, 568, 10294, 888, 1432, 568, 513, 3557, 540, 17073, 286, 634, 17135, 32141, 513, 3557, 540, 17073, 950, 646, 24172, 11099, 513, 9568, 814, 7018, 610, 949, 581, 31873, 602, 568, 4049, 2614, 547, 2154, 3557, 5351, 547, 7110, 2199, 2200, 538, 7303, 610, 10970, 11868, 14796, 267, 2530, 267, 27465, 610, 7092, 563, 1432, 616, 519, 476, 275, 11775, 540, 6595, 2359, 888, 28770, 11765, 9946, 1589, 540, 12469, 607, 18596, 2621, 609, 2185, 11775, 281, 14600, 12720, 267, 16721, 1563, 1145, 267, 15863, 267, 543, 18401, 563, 1432, 616, 519, 476, 276, 11775, 540, 6595, 2359, 888, 7093, 3685, 267, 17846, 267, 23982, 267, 3210, 543, 6051, 616, 519, 2947, 3268, 540, 17073, 5004, 269, 7093, 3685, 269, 589, 2388, 3144, 547, 2057, 606, 10071, 269, 2560, 14600, 12720, 269, 2560, 16721, 1563, 1145, 269, 2560, 15863, 269, 2560, 18401, 563, 1432, 616, 519, 476, 273, 2010, 540, 18002, 888, 2080, 616, 519, 1034, 1455, 2010, 540, 18002, 543, 875, 547, 4431, 547, 873, 6993, 764, 6342, 269, 6452, 6342, 2097, 538, 1082, 3029, 269, 2560, 2271, 30102, 20222, 543, 15053, 269, 1703, 616, 1082, 10913, 3361, 17543, 676, 3425, 269, 2560, 7849, 2598, 7539, 269, 7849, 12469, 723, 1082, 3029, 269, 2560, 25895, 2598, 7539, 12282, 592, 476, 1240, 267, 476, 1001, 280, 454, 1432, 616, 519, 476, 274, 2157, 540, 9568, 888, 11514, 7539, 616, 19040, 883, 1614, 20946, 12077, 282, 5634, 267, 2101, 543, 21472, 12469, 563, 1432, 616, 519, 1614, 2157, 540, 6595, 888, 8867, 12069, 540, 17073, 25583, 476, 272, 269, 19724, 281, 1323, 10071, 5473, 513, 3908, 1858, 602, 3123, 8766, 1764, 610, 954, 8306, 547, 519, 13464, 269, 2560, 5426, 476, 273, 269, 3525, 4733, 281, 589, 1713, 6595, 602, 7519, 338, 606, 3003, 6989, 610, 2679, 543, 602, 949, 2154, 6351, 689, 5007, 3906, 269, 2560, 5426, 476, 274, 269, 0, 19365, 9956, 630, 12041, 540, 19151, 543, 19201, 264, 19365, 9956, 630, 321, 2194, 2213, 476, 2918, 4989, 476, 14444, 275, 264, 729, 606, 2296, 10564, 543, 31075, 267, 4922, 9833, 607, 519, 6574, 5856, 538, 519, 2296, 1893, 543, 519, 10600, 840, 15041, 5799, 5559, 520, 626, 269, 1261, 568, 1419, 1572, 1621, 4133, 3084, 10564, 543, 519, 645, 731, 540, 2997, 517, 630, 528, 3274, 634, 645, 731, 1040, 3571, 17005, 1568, 2874, 540, 476, 4343, 4249, 267, 476, 15150, 5067, 26506, 267, 1079, 1279, 2239, 9954, 267, 543, 1896, 824, 9954, 269, 3571, 4249, 723, 1044, 12261, 883, 1169, 2101, 2713, 1893, 267, 543, 616, 5340, 811, 1419, 982, 1346, 540, 1022, 824, 31075, 563, 4537, 6832, 729, 4535, 543, 6659, 538, 31854, 5112, 5346, 517, 5025, 341, 517, 269, 18623, 3494, 602, 646, 5747, 593, 1010, 15823, 29364, 14512, 267, 14626, 4575, 609, 853, 6723, 779, 4303, 563, 4263, 519, 2085, 540, 476, 1240, 646, 9310, 14732, 670, 987, 12537, 267, 945, 16004, 1864, 1614, 1453, 281 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

[ 519, 936, 4557, 8536, 10991, 543, 563, 299, 3855, 547, 1344, 827, 1426, 21187, 543, 1426, 19605, 4620, 1431, 269, 5253, 3106, 543, 14791, 3028, 1451, 827, 1426, 21187, 538, 5779, 543, 16738, 2472, 267, 1519, 741, 4214, 267, 1686, 267, 7939, 543, 811, 513, 29395, 540, 4122, 1031, 21187, 543, 2474, 568, 849, 3177, 269, 4014, 519, 2179, 540, 21187, 538, 938, 1426, 568, 3478, 513, 3787, 856, 540, 1688, 630, 11004, 616, 811, 982, 476, 277, 267, 1822, 1426, 21187, 9516, 585, 946, 538, 519, 1426, 2872, 1070, 1210, 5820, 547, 2087, 610, 3986, 1426, 814, 1044, 519, 2343, 585, 5553, 596, 949, 723, 1224, 827, 519, 12178, 540, 8380, 10991, 269, 5253, 21187, 1557, 910, 1303, 6412, 707, 4574, 547, 519, 1034, 16805, 5830, 3479, 707, 1867, 547, 3318, 5640, 2324, 538, 519, 2754, 1303, 6412, 707, 1957, 547, 721, 543, 649, 786, 798, 938, 1655, 585, 596, 269, 1403, 596, 616, 7255, 827, 799, 21187, 949, 581, 1434, 610, 5906, 547, 707, 1072, 267, 581, 2386, 547, 1224, 519, 6003, 593, 519, 1587, 1354, 596, 6718, 621, 930, 21187, 1247, 1031, 547, 8190, 543, 2061, 1426, 689, 24401, 4979, 267, 849, 1683, 2640, 799, 616, 1271, 547, 1434, 1072, 930, 2014, 13027, 6547, 547, 1004, 945, 723, 11959, 610, 703, 11217, 1734, 563, 10403, 3594, 689, 536, 691, 548, 2421, 1923, 581, 1210, 1250, 8516, 5493, 3896, 602, 519, 7548, 607, 1683, 803, 609, 547, 948, 803, 1832, 3950, 540, 1250, 3232, 1426, 543, 20892, 6981, 269, 5253, 21187, 1223, 581, 13818, 547, 1072, 2042, 3361, 676, 519, 21187, 891, 3536, 2270, 865, 952, 606, 936, 629, 1495, 766, 540, 9770, 3884, 1405, 2601, 2614, 585, 596, 547, 14736, 519, 9268, 1426, 269, 5851, 1315, 1857, 1072, 2079, 1315, 476, 2004, 10265, 323, 549, 653, 5944, 6757, 1426, 5820, 1299, 5841, 21187, 547, 2057, 1034, 540, 519, 5820, 602, 596, 1058, 2057, 2887, 883, 835, 540, 1614, 2127, 281, 1426, 21187, 267, 5841, 6653, 22211, 543, 5841, 4778, 811, 543, 811, 4966, 616, 3858, 532, 602, 596, 616, 563, 2026, 4820, 877, 568, 513, 5906, 3114, 1426, 19605, 267, 972, 616, 1082, 14546, 543, 2067, 543, 10991, 10366, 602, 3142, 856, 519, 1655, 538, 519, 8137, 540, 1426, 930, 1426, 21187, 723, 811, 982, 835, 946, 1426, 21187, 616, 7396, 2687, 547, 741, 5107, 1806, 540, 519, 1034, 1455, 5107, 2687, 269, 15053, 995, 1426, 21187, 910, 5739, 1426, 29089, 2510, 1299, 3114, 1426, 4778, 782, 891, 5906, 1426, 21187, 616, 1360, 11342, 538, 782, 12204, 540, 31567, 6653, 2989, 2472, 519, 1152, 1259, 547, 3251, 2922, 568, 547, 917, 1018, 5739, 1426, 21187, 267, 596, 616, 13027, 547, 267, 2057, 1346, 1880, 269, 12989, 568, 606, 1557, 593, 1426, 21187, 689, 4550, 3594, 267, 707, 2707, 585, 1382, 4574, 267, 3594, 267, 543, 2165, 1957, 1806, 1426, 21187, 666, 581, 6225, 610, 5732, 5739, 6878, 5921, 547, 3986, 610, 8190, 519, 3536, 649, 3548, 4948, 269, 0, 1692, 547, 2328, 606, 1557, 268, 5618, 3594, 543, 946, 519, 3741, 547, 4228, 547, 3476, 3594, 270, 1256, 513, 5098, 596, 1522, 849, 6999, 547, 2638, 519, 3381, 593, 5967, 4480, 630, 852, 593, 713, 8756, 1932, 269, 1215, 547, 2328, 513, 5758, 267, 2079, 267, 543, 3210, 1557, 1957, 609, 1806, 8242, 593, 949, 476, 1704, 267, 476, 1001, 278, 32597, 7548, 561, 2106, 928, 1775, 723, 547, 2328, 606, 1557, 609, 6392, 267, 666, 596, 18973, 803, 1946, 1826, 540, 1913, 1775, 666, 946, 547, 1397, 1250, 1448, 676, 519, 1259, 519, 1888, 568, 7231, 1344, 2029, 1250, 1362, 568, 11295, 865, 602, 1250, 1053, 723, 547, 1544, 269, 589, 1870, 1544, 568, 1259, 547, 1397, 602, 596, 616, 538, 519, 1870, 547, 1118, 2724, 6338, 519, 2754, 543, 519, 1587, 4882, 16291, 2856, 585, 519, 1007, 14679, 17784, 521, 3781, 8630, 568, 513, 1007, 2754, 602, 786, 2709, 1164, 2298, 2533, 547, 922, 7218, 269, 5272, 1557, 2115, 606, 1557, 1544, 596, 9327, 1406, 979, 593, 513, 4155, 7552, 1510, 513, 4786, 543, 3594, 616, 1175, 519, 1482, 1354, 707, 7141, 6238, 1603, 606, 1557, 789, 1058, 1118, 513, 2656, 1544, 540, 1018, 789, 2461, 2469, 547, 2328, 827, 563, 1692, 547, 1118, 606, 1557, 1544, 538, 1175, 476, 276, 3764, 519, 8654, 2360, 1031, 948, 1397, 519, 4259, 568, 13777, 22618, 1383, 910, 530, 984, 29087, 5496, 950, 13289, 883, 519, 5119, 519, 1557, 1544, 2630, 568, 585, 513, 19858, 1557, 2243, 827, 519, 4670, 2048, 1492, 5119, 685, 543, 519, 4670, 779, 4259, 621, 1058, 2285, 596, 513, 1434, 2856, 540, 875, 269, 901, 960, 6663, 547, 1397, 20485, 1018, 596, 723, 4121, 1282, 519, 19496, 543, 849, 2982, 707, 2702, 547, 1382, 267, 5659, 267, 1118, 6898, 267, 543, 1106, 9266, 8753, 1018, 2640, 798, 1775, 1205, 952, 596, 2328, 1250, 1557, 585, 803, 1367, 543, 3860, 4485, 1164, 7779, 960, 1759, 593, 707, 5528, 269, 15618, 281, 1395, 267, 476, 5881, 949, 476, 1001, 279, 875, 547, 2328, 606, 1557, 1544, 519, 2702, 547, 2328, 513, 1434, 1557, 5956, 609, 6297, 543, 3608, 4058, 713, 1797, 602, 519, 7041, 543, 1382, 540, 606, 1557, 616, 607, 1271, 267, 952, 711, 811, 865, 267, 982, 519, 4890, 1603, 563, 13625, 2497, 1317, 3594, 616, 9247, 5276, 9789, 344, 2709, 835, 2856, 693, 513, 942, 9789, 344, 1590, 1459, 741, 2093, 538, 519, 1931, 602, 2306, 1034, 2631, 547, 513, 5467, 6707, 1785, 1005, 606, 1557, 1797, 11504, 547, 513, 5467, 781, 7954, 269, 901, 4183, 568, 711, 2139, 1318, 1631, 5225, 2119, 1586, 2663, 269, 634, 1557, 4786, 568, 606, 7317, 8642, 28013, 602, 6087, 1053, 547, 10891, 543, 7291, 741, 2093, 585, 606, 21141, 267, 4214, 531, 267, 610, 10855, 1557, 269, 5153, 2328, 513, 1544, 585, 707, 1557, 596, 1058, 1544, 707, 1557, 883, 1614, 1292, 6810, 281, 519, 4367, 267, 519, 1560, 543, 519, 3932, 519, 4367, 1058, 13713, 2491, 1018, 596, 616, 3843, 547, 3035, 538, 519, 1557, 563, 13625, 1544, 2140, 281, 1496, 785, 6510, 1934, 519, 2140, 596, 723, 6074, 316, 5225, 1745, 1863, 547, 2097, 543, 1865, 707, 7291, 1544, 609, 803, 267, 2523, 952, 596, 616, 711, 1978, 2436, 713, 3942, 786, 711, 1397, 538, 519, 3803, 1557, 267, 6466, 28303, 1500, 547, 513, 2407, 8908, 616, 1419, 6654, 538, 519, 8737, 1587, 269, 19396, 1544, 1383, 476, 273, 2390, 22692, 1775, 6999, 547, 2253, 513, 4876, 538, 1514, 2533, 1775, 6415, 711, 4010, 2386, 799, 2460, 1775, 1131, 899, 547, 979, 883, 267, 855, 1775, 723, 519, 1034, 1719, 538, 1453, 543, 3885, 269, 1215, 547, 2328, 1434, 1557, 1544, 547, 2328, 1434, 1557, 4574, 1797, 547, 1246, 519, 2953, 3889, 538, 21882, 606, 2376, 2356, 267, 1053, 616, 5185, 609, 519, 14196, 827, 875, 789, 666, 2965, 2328, 3594, 593, 519, 1134, 31465, 3584, 1739, 519, 3898, 7150, 676, 519, 4116, 563, 288, 1434, 1557, 1544, 2337, 596, 6582, 707, 2093, 25401, 543, 3251, 593, 3950, 1282, 519, 1603, 1184, 707, 1544, 1058, 1533, 875, 596, 2811, 2469, 547, 6961, 707, 4661, 267, 1519, 519, 2963, 596, 2811, 2469, 547, 946, 269, 2859, 982, 1082, 824, 2010, 540, 3594, 267, 10855, 3594, 11441, 547, 1711, 513, 7184, 3238, 543, 12667, 1995, 585, 519, 5467, 1390, 10855, 3594, 3035, 713, 1860, 711, 998, 5013, 543, 7194, 855, 676, 1210, 2143, 7422, 543, 11673, 269, 4635, 513, 2095, 24577, 543, 3349, 547, 1118, 606, 7084, 1544, 3942, 476, 3393, 513, 2596, 1557, 2497, 1210, 513, 3349, 547, 1118, 606, 3355, 7084, 1544, 2596, 1867, 2497, 2140, 270, 23896, 1169, 1557, 2140, 3568, 606, 8763, 610, 17697, 2243, 707, 1557, 1058, 1445, 593, 16460, 602, 2243, 1018, 786, 707, 1557, 1397, 269, 4828, 4786, 910, 1224, 16261, 996, 1074, 563, 1692, 547, 2328, 606, 1557, 3670, 2694, 281, 1603, 707, 1557, 2847, 2358, 707, 1557, 1603, 513, 10388, 1557, 1603, 606, 16878, 1557, 2328, 513, 2239, 1557, 1557, 948, 2146, 7117, 261, 320, 2429, 707, 4081, 4876, 267, 596, 786, 1419, 581, 4280, 547, 2328, 3594, 596, 949, 723, 547, 960, 593, 606, 8655, 1557, 585, 1362, 267, 4283, 606, 1557, 16311, 610, 2328, 3594, 585, 2852, 23504, 269, 1403, 596, 616, 1603, 513, 4876, 3853, 1557, 267, 1224, 593, 547, 1451, 875, 1082, 10927, 543, 15938, 3292, 2154, 606, 1557, 593, 707, 1272, 267, 2123, 4690, 543, 4876, 3853, 585, 803, 267, 1775, 666, 3362, 24808, 1250, 3853, 538, 513, 1906, 5220, 269, 16373, 1544, 513, 6725, 1544, 568, 513, 2143, 267, 21503, 543, 2854, 1867, 602, 513, 1870, 3096, 538, 1931, 547, 7291, 519, 3527, 602, 1058, 581, 3144, 547, 5561, 543, 7218, 543, 3800, 3144, 547, 22321, 873, 547, 6718, 519, 1587, 269, 1215, 547, 2328, 606, 7291, 2947, 2694, 281, 3732, 14592, 4058, 707, 7291, 1785, 1005, 707, 7291, 12180, 707, 2093, 3803, 1944, 707, 7291, 2146, 7117, 261, 320, 606, 7291, 568, 513, 1390, 1259, 547, 10891, 2093, 543, 1344, 585, 513, 4633, 267, 606, 1557, 267, 513, 3209, 267, 610, 513, 1353, 3391, 1759, 593, 707, 1362, 4967, 563, 288, 5929, 3898, 585, 15885, 568, 519, 2947, 24733, 4588, 1557, 621, 568, 711, 519, 1152, 3898, 585, 1603, 606, 1557, 267, 540, 1576, 267, 855, 621, 568, 513, 3730, 2203, 585, 596, 547, 1832, 538, 2247, 267, 2523, 607, 596, 2253, 547, 1020, 707, 5888, 1983, 269, 634, 1101, 1557, 568, 513, 3044, 5172, 1433, 1557, 1010, 2034, 267, 827, 1010, 5172, 4116, 267, 4422, 883, 811, 3178, 543, 8761, 811, 827, 519, 11134, 267, 602, 646, 21593, 1565, 267, 8098, 2231, 4830, 2219, 267, 543, 4566, 547, 1353, 1686, 269, 29149, 1557, 4214, 513, 10855, 1557, 568, 513, 1826, 540, 1603, 538, 799, 596, 4766, 513, 3364, 267, 2680, 267, 1184, 610, 1268, 519, 1292, 3804, 540, 713, 1826, 540, 1557, 568, 547, 1711, 513, 12667, 1995, 585, 519, 5467, 543, 2285, 873, 513, 811, 538, 3829, 1620, 540, 519, 1557, 779, 1641, 269, 12726, 1557, 630, 8517, 1913, 264, 585, 519, 7084, 2243, 543, 2079, 267, 1294, 3732, 1557, 476, 272, 630, 527, 1070, 3506, 991, 513, 960, 762, 1544, 547, 4628, 11753, 621, 883, 782, 3344, 540, 519, 6437, 865, 1053, 616, 6026, 875, 267, 1946, 267, 543, 950, 547, 946, 2029, 547, 2417, 3986, 741, 1565, 269, 0, 19370, 1738, 8847, 540, 17035, 538, 1382, 713, 1935, 568, 1419, 5532, 547, 11050, 1382, 2409, 585, 946, 538, 1072, 1382, 2139, 693, 1547, 6396, 1670, 8989, 538, 12007, 267, 11050, 267, 543, 6404, 2409, 1072, 2533, 1382, 4930, 1353, 676, 1210, 1114, 2409, 585, 1547, 4985, 547, 11050, 1382, 2409, 2278, 281, 2016, 602, 972, 568, 849, 10462, 267, 713, 1797, 602, 519, 7681, 5526, 896, 513, 3099, 540, 1114, 4586, 308, 330, 612, 904, 1260, 972, 616, 1082, 8847, 2139, 585, 11050, 1382, 2016, 676, 1114, 4589, 620, 328, 15676, 543, 1368, 526, 3205, 630, 1220, 273, 264, 723, 4330, 519, 11050, 1382, 2409, 1360, 1134, 620, 328, 15676, 543, 1368, 526, 3205, 630, 1220, 273, 264, 723, 4330, 519, 11050, 1382, 2409, 1360, 1134, 269, 26592, 267, 12007, 267, 543, 6404, 1382, 2409, 538, 4702, 2069, 11050, 1382, 6272, 2090, 602, 723, 8947, 875, 1114, 1547, 26592, 1382, 1018, 568, 11050, 1382, 11007, 540, 891, 2338, 2066, 1114, 8658, 6148, 519, 5619, 729, 1152, 2016, 547, 2575, 4586, 16675, 1930, 1569, 4589, 666, 2671, 741, 1382, 538, 513, 3099, 540, 1114, 2081, 543, 3116, 22609, 814, 513, 1297, 540, 3039, 1930, 1569, 3681, 2139, 649, 4363, 4589, 1294, 938, 3039, 1930, 1569, 2985, 585, 2417, 1344, 269, 15316, 4214, 540, 1382, 2409, 676, 1585, 4589, 5587, 651, 543, 5587, 651, 281, 1382, 568, 513, 6297, 267, 9836, 543, 6662, 7634, 5342, 547, 3489, 4570, 5013, 267, 2721, 8753, 543, 3964, 3741, 3823, 606, 30753, 1966, 538, 930, 2361, 540, 1702, 269, 19120, 5511, 543, 11050, 1382, 6272, 616, 811, 2147, 982, 1114, 513, 1360, 2596, 4214, 540, 17779, 568, 267, 968, 628, 902, 2291, 1152, 538, 519, 1483, 1158, 892, 543, 1547, 1412, 1998, 7190, 262, 538, 12007, 543, 11050, 1382, 519, 2039, 540, 8847, 2016, 676, 3056, 4589, 5542, 540, 1114, 4589, 1603, 689, 1114, 1547, 7799, 14591, 543, 8467, 540, 11050, 1382, 2409, 2016, 519, 1935, 2877, 547, 1142, 540, 891, 3237, 547, 2491, 519, 1353, 3483, 2139, 693, 281, 5291, 4586, 30547, 543, 4214, 540, 1382, 1374, 1826 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

[ 835, 540, 519, 1101, 1919, 602, 1082, 1004, 1451, 693, 1153, 607, 1453, 563, 306, 19414, 13043, 4792, 13553, 9990, 8382, 7659, 306, 19414, 13043, 277, 270, 276, 568, 2966, 585, 1053, 538, 3446, 476, 276, 267, 610, 3446, 476, 277, 1053, 945, 616, 10010, 609, 2979, 269, 901, 590, 19414, 295, 2345, 1041, 14173, 2882, 281, 9906, 7956, 282, 476, 6344, 4245, 267, 476, 1321, 13753, 267, 476, 278, 1321, 269, 476, 1220, 271, 585, 323, 535, 5611, 4550, 17403, 19268, 27260, 7476, 5131, 590, 19414, 4569, 6092, 476, 274, 8382, 6206, 3292, 269, 4569, 29329, 476, 274, 11414, 6310, 2035, 998, 13181, 4245, 267, 5363, 12222, 267, 543, 7317, 2238, 543, 13753, 269, 590, 19414, 4569, 6092, 476, 274, 590, 19414, 4569, 6092, 476, 273, 590, 19414, 2979, 3292, 3132, 8746, 1053, 945, 616, 711, 1152, 2111, 547, 7157, 12337, 267, 855, 849, 547, 4019, 269, 590, 19414, 2979, 476, 276, 628, 3446, 2626, 1883, 7824, 476, 4905, 590, 19414, 4569, 9255, 618, 4530, 5664, 24110, 630, 276, 270, 275, 998, 10789, 476, 272, 270, 273, 264, 476, 6349, 590, 19414, 4569, 9255, 618, 4530, 910, 10789, 476, 272, 476, 6734, 590, 19414, 4569, 9255, 618, 4530, 910, 10789, 476, 273, 476, 6860, 590, 19414, 4569, 9255, 618, 4530, 910, 16592, 24110, 476, 4962, 10691, 292, 2433, 12832, 1961, 519, 4569, 15248, 1281, 711, 4867, 1683, 3381, 4245, 585, 24110, 918, 268, 273, 543, 20145, 269, 2626, 1883, 519, 2531, 514, 4618, 267, 1094, 343, 517, 2979, 1576, 476, 273, 2875, 7160, 7824, 1863, 4647, 267, 1094, 343, 517, 2979, 1576, 476, 273, 2626, 1883, 3992, 476, 278, 267, 1094, 343, 517, 2979, 1576, 476, 273, 7824, 2262, 12304, 635, 267, 3435, 547, 1094, 343, 517, 2979, 1576, 476, 272, 476, 7818, 14689, 15221, 4281, 274, 276, 1863, 267, 4647, 1094, 343, 517, 2979, 3992, 476, 8064, 1576, 476, 273, 4267, 7824, 267, 1863, 7824, 2979, 1576, 476, 273, 2626, 1883, 25877, 3530, 8270, 919, 275, 340, 1071, 20410, 267, 1094, 343, 517, 563, 306, 19414, 4569, 476, 277, 270, 276, 27800, 8382, 6206, 269, 676, 3627, 590, 19414, 1923, 3967, 476, 272, 267, 476, 1220, 275, 269, 476, 276, 269, 271, 856, 540, 476, 276, 6801, 476, 272, 269, 28980, 269, 590, 19414, 20145, 476, 273, 526, 9990, 18873, 543, 8382, 6206, 630, 13553, 264, 1496, 26261, 3724, 316, 3967, 476, 272, 267, 476, 1220, 278, 269, 3267, 7300, 282, 3883, 5678, 269, 2296, 282, 4139, 1744, 6235, 269, 4139, 1744, 6235, 4432, 580, 1043, 282, 16448, 269, 1715, 282, 13242, 282, 2997, 22355, 269, 6723, 6115, 9142, 269, 476, 25375, 278, 590, 269, 476, 4968, 271, 661, 269, 853, 269, 6723, 267, 18096, 476, 279, 5325, 3445, 269, 476, 31973, 268, 6858, 274, 268, 23417, 273, 269, 1627, 16412, 298, 4792, 4888, 14684, 2207, 26395, 312, 11123, 14408, 311, 2177, 13878, 295, 476, 275, 16998, 32767, 476, 272, 11711, 7392, 7300, 4888, 14684, 2207, 26395, 312, 11123, 14408, 311, 2177, 13878, 295, 476, 275, 16998, 32767, 1879, 18825, 1058, 979, 547, 519, 2835, 8637, 267, 3406, 5748, 676, 6300, 267, 15808, 676, 15808, 267, 621, 568, 538, 4641, 16609, 269, 901, 568, 1946, 649, 522, 23807, 478, 518, 519, 1433, 735, 559, 725, 538, 713, 3896, 269, 898, 786, 632, 16667, 333, 7019, 8897, 596, 547, 1294, 3391, 4888, 14684, 2207, 26395, 312, 11123, 14408, 311, 2177, 13878, 295, 476, 275, 16998, 32767, 563, 12606, 590, 19414, 4569, 476, 276, 476, 275, 18873, 590, 19414, 4569, 476, 276, 476, 275, 18873, 901, 590, 19414, 4569, 23467, 1041, 476, 7918, 18873, 543, 6096, 1433, 568, 851, 540, 519, 590, 19414, 4569, 476, 7918, 6437, 585, 8772, 3446, 1053, 543, 2488, 29433, 5013, 2259, 4255, 585, 1142, 3992, 607, 1134, 607, 476, 2537, 19469, 4255, 602, 3382, 1169, 476, 276, 268, 1015, 4245, 269, 2999, 321, 285, 306, 19414, 9572, 321, 285, 2999, 321, 285, 13043, 9572, 321, 285, 2999, 321, 285, 22706, 9572, 321, 285, 476, 275, 269, 589, 4510, 309, 309, 294, 14408, 311, 2177, 13878, 295, 2910, 7838, 10345, 476, 273, 4888, 14684, 2207, 26395, 312, 10396, 299, 12114, 17676, 476, 274, 476, 274, 2407, 6066, 610, 607, 513, 7110, 547, 4928, 2069, 24568, 782, 2157, 540, 2542, 267, 1603, 267, 1686, 267, 11585, 267, 6128, 267, 2257, 267, 585, 268, 552, 793, 4654, 267, 20116, 267, 7954, 267, 1148, 267, 543, 2575, 267, 7488, 540, 707, 1378, 19038, 3363, 538, 1346, 5396, 269, 23897, 1343, 540, 3237, 543, 4001, 268, 563, 306, 19414, 10789, 476, 273, 23467, 1041, 14173, 609, 10298, 15015, 267, 476, 274, 6113, 9990, 634, 6539, 2882, 281, 9906, 30930, 8382, 6206, 1107, 713, 1433, 3274, 2488, 2626, 10569, 547, 519, 2875, 2259, 5036, 630, 5228, 519, 1257, 264, 543, 519, 1449, 2055, 630, 5228, 519, 1449, 27412, 264, 10298, 15015, 1107, 713, 2835, 2982, 519, 1900, 8386, 9912, 3435, 547, 519, 2259, 5036, 543, 1449, 2055, 269, 22982, 513, 2638, 1665, 547, 1448, 519, 2626, 1141, 2877, 269, 17677, 2638, 782, 519, 6445, 762, 4610, 547, 2327, 2407, 8856, 269, 22982, 519, 6178, 15484, 547, 1711, 543, 1039, 707, 5907, 15040, 547, 1129, 3086, 519, 590, 19414, 2979, 6780, 9212, 1106, 269, 4964, 667, 821, 1310, 596, 9096, 519, 1106, 269, 3767, 596, 3513, 581, 2111, 547, 1820, 267, 4647, 267, 610, 2671, 519, 3561, 269, 8058, 532, 476, 272, 910, 476, 1428, 540, 476, 9340, 1496, 9202, 3436, 4940, 11628, 4569, 8382, 6206, 1299, 18873, 630, 273, 526, 9990, 264, 1269, 866, 269, 2004, 1142, 269, 11628, 4569, 23467, 1041, 14173, 630, 273, 526, 9990, 264, 1280, 22312, 281, 595, 4041, 303, 270, 9169, 4306, 3341, 2326, 543, 811, 256, 910, 595, 4041, 303, 17072, 590, 19414, 11628, 9119, 267, 476, 273, 526, 7160, 267, 9768, 1948, 269, 22291, 2875, 1257, 267, 4255, 267, 2626, 1883, 543, 3070, 8261, 269, 1269, 3393, 563, 290, 274, 5484, 577, 5658, 4530, 476, 274, 5623, 8382, 6206, 281, 11711, 12025, 281, 476, 6200, 737, 321, 15545, 2368, 540, 519, 3211, 585, 713, 1523, 616, 13488, 609, 519, 1119, 4242, 839, 1272, 568, 513, 3460, 649, 2661, 835, 590, 19414, 2979, 476, 9262, 4255, 543, 2626, 1883, 476, 274, 6113, 7160, 3134, 889, 590, 19414, 2979, 476, 9262, 4255, 543, 2626, 1883, 476, 274, 6113, 7160, 7824, 590, 19414, 2979, 476, 9262, 9542, 585, 2027, 5095, 2626, 590, 19414, 4116, 585, 269, 476, 272, 268, 276, 4792, 6507, 268, 6187, 279, 268, 275, 634, 4530, 269, 590, 19414, 4569, 476, 276, 270, 275, 7956, 3883, 543, 8249, 269, 4787, 760, 547, 1292, 1543, 269, 9603, 547, 513, 9709, 1379, 856, 720, 593, 11016, 267, 476, 272, 270, 1691, 267, 1063, 476, 279, 600, 268, 272, 10975, 623, 4306, 267, 3267, 590, 19414, 4569, 476, 7918, 28924, 16086, 15005, 4647, 269, 476, 278, 269, 272, 300, 1547, 590, 19414, 4569, 476, 7918, 30930, 15005, 563, 306, 19414, 2979, 476, 279, 270, 278, 609, 840, 7223, 2626, 1883, 7824, 476, 1001, 278, 4647, 7824, 2407, 634, 9906, 9990, 7956, 3096, 513, 1079, 12258, 528, 2985, 11768, 269, 634, 1152, 3017, 568, 267, 596, 666, 3362, 23249, 267, 556, 13388, 543, 3728, 268, 3453, 519, 11000, 267, 1565, 693, 707, 1378, 10605, 269, 9119, 13043, 538, 10312, 267, 6092, 476, 273, 306, 19414, 4569, 6092, 476, 274, 306, 19414, 4569, 6092, 476, 273, 306, 19414, 4569, 29329, 476, 276, 590, 19414, 4569, 568, 2653, 547, 1544, 543, 14785, 547, 4001, 269, 634, 1445, 593, 3246, 3610, 609, 2994, 585, 3384, 606, 1620, 540, 670, 8582, 543, 654, 14176, 2979, 1568, 13976, 513, 4396, 5748, 585, 2362, 7400, 6128, 269, 910, 21629, 269, 3721, 676, 1900, 563, 17572, 7392, 7300, 590, 19414, 4569, 476, 10602, 476, 275, 628, 9990, 8382, 6206, 590, 19414, 4569, 476, 10602, 476, 275, 628, 9990, 8382, 6206, 24722, 1418, 540, 519, 1433, 4123, 540, 519, 2136, 8003, 2529, 19414, 4569, 568, 2653, 547, 1544, 269, 21942, 476, 275, 628, 6103, 4569, 4518, 1504, 15434, 7219, 910, 6380, 1087, 269, 916, 340, 12975, 269, 18224, 532, 1283, 476, 279, 3211, 1336, 585, 910, 21942, 6103, 476, 276, 4569, 2529, 727, 540, 519, 3211, 585, 713, 1523, 616, 623, 8986, 976, 2979, 1433, 476, 274, 6113, 3446, 27260, 268, 5700, 1018, 596, 917, 454, 268, 898, 781, 13777, 850, 547, 3589, 519, 4346, 543, 1719, 3928, 454, 268, 1411, 723, 7899, 540, 942, 547, 2697, 543, 5431, 11108, 3549, 454, 268, 3680, 1279, 15833, 454, 268, 6153, 2359, 568, 1360, 1271, 910, 4444, 1434, 4213, 454, 268, 2142, 8465, 543, 18803, 267, 543, 1451, 689, 9073, 454, 268, 6969, 596, 1118, 513, 6718, 267, 596, 1058, 581, 2111, 547, 2491, 1946, 596, 616, 9140, 454, 268, 1703, 781, 2141, 1945, 547, 5855, 827, 910, 798, 596, 917, 1018, 621, 568, 888, 306, 19414, 10789, 476, 273, 23467, 268, 1041, 13268, 564, 476, 274, 6113, 9990, 476, 3953, 1449, 3029, 585, 5321, 268, 1041, 532, 267, 543, 4267, 547, 782, 4255, 267, 543, 2875, 1257, 26247, 1966, 5036, 269, 6103, 5426, 476, 280, 268, 1321, 590, 19414, 4569, 568, 2653, 547, 1544, 543, 14785, 547, 4001, 269, 634, 1445, 593, 1364, 268, 532, 3610, 609, 1193, 622, 3766, 625, 585, 3384, 606, 796, 268, 1457, 9227, 540, 670, 8582, 543, 654, 14176, 2979, 1568, 13976, 513, 4396, 5748, 269, 590, 19414, 4569, 29329, 476, 276, 8382, 6206, 568, 2649, 1043, 538, 938, 3059, 5399, 606, 2228, 1569, 547, 621, 568, 1305, 607, 1857, 5330, 5944, 596, 666, 4647, 621, 14678, 269, 3776, 3059, 5399, 17990, 538, 6687, 691, 2477, 267, 3850, 596, 547, 1205, 519, 1034, 1447, 26125, 2053, 547, 4647, 1022, 540, 938, 2835, 1985, 713, 835, 269, 631, 699, 569, 1767, 267, 519, 590, 19414, 4569, 269, 11711, 7392, 7300, 590, 19414, 4569, 476, 10602, 476, 275, 628, 9990, 8382, 6206, 590, 19414, 4569, 476, 10602, 476, 275, 628, 9990, 8382, 6206, 24722, 1418, 540, 519, 1433, 4123, 540, 519, 2136, 8003, 2529, 19414, 4569, 568, 2653, 547, 1544, 269, 21942, 476, 275, 628, 6103, 4569, 4518, 1504, 15434, 7219, 910, 6380, 1087, 269, 916, 340, 12975, 269, 18224, 532, 1283, 476, 279, 3211, 1336, 585, 910, 21942, 6103, 476, 276, 4569, 2529, 727, 540, 519, 3211, 585, 713, 1523, 616, 623, 8986, 976, 2979, 1433, 476, 274, 6113, 3446, 27260, 338, 7219, 1472, 25449, 568, 3043, 269, 7887, 25880, 538, 575, 3279, 476, 276, 269, 11289, 596, 7357, 1454, 585, 23842, 6206, 8382, 476, 276, 29329, 4569, 590, 19414, 8160, 599, 2041, 596, 723, 1702, 602, 267, 1004, 723, 1413, 3875, 1974, 585, 741, 5172, 2835, 609, 713, 6206, 8382, 476, 276, 29329, 4569, 590, 19414, 267, 855, 1439, 2921, 1747, 538, 5739, 28085, 10611, 1430, 982, 11981, 513, 19509, 928, 19545, 2663, 982, 513, 544, 1872, 540, 1071, 23807, 478, 2465, 538, 519, 12784, 269, 590, 19414, 4569, 9255, 618, 6651, 269, 590, 19414, 2835, 616, 5578, 7400, 2835, 267, 711, 3446, 7400, 2835, 269, 898, 568, 1898, 602, 1142, 2875, 581, 5116, 538, 519, 1257, 602, 10742, 1010, 610, 1200, 5578, 1377, 269, 11773, 609, 835, 590, 19414, 1433, 9244, 5267, 1967, 609, 519, 1985, 590, 19414, 1433, 269, 634, 1739, 590, 19414, 13307, 1449, 3391, 949, 581, 1031, 547, 7447, 799, 1433, 513, 2875, 563, 306, 19414, 2979, 476, 275, 628, 3446, 2626, 1883, 7824, 590, 19414, 4569, 2907, 814, 513, 3126, 540, 2835, 585, 9656, 998, 3791, 3446, 267, 543, 1776, 3126, 602, 5956, 609, 4569, 476, 276, 270, 275, 585, 8772, 3446, 543, 5170, 909, 998, 20145, 269, 3267, 590, 19414, 4569, 29329, 476, 274, 267, 476, 275, 2073, 543, 476, 276, 941, 2854, 676, 15537, 670, 820, 543, 267, 18867, 267, 616, 811, 2147, 547, 519, 5580, 1377, 2835, 982, 269, 590, 19414, 2979, 476, 279, 270, 278, 609, 840, 7223, 2626, 1883, 7824, 476, 1001, 278, 4647, 7824, 2407, 634, 9906, 9990, 7956, 3096, 513, 1079, 12258, 528, 2985, 11768, 269, 634, 1152, 3017, 568, 267, 596, 666, 3362, 23249, 267, 556, 13388, 543, 3728, 268, 3453, 519, 11000, 267, 1565, 693, 707, 1378, 10605, 269, 10298, 15015, 590, 19414, 4569, 29329, 476, 274, 10298, 15015, 9768, 281, 7818, 268, 272, 268, 7785, 268, 23283, 7367, 268, 277, 634, 10298, 15015, 3568, 519, 3435, 585, 519, 9906, 30930, 269, 1411, 786, 991, 519, 10298, 267, 7457, 5131, 590, 19414, 4569, 6092, 476, 274 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

[ 5109, 1010, 7015, 781, 9371, 267, 610, 2611, 14980, 543, 28511, 519, 7242, 540, 24123, 15093, 2496, 289, 528, 2471, 262, 1650, 12651, 1271, 2055, 827, 519, 2078, 1063, 3140, 3965, 543, 2797, 26117, 269, 1635, 20747, 2590, 519, 3515, 1063, 1249, 543, 5708, 267, 646, 20217, 3988, 547, 23827, 622, 519, 2081, 538, 799, 8789, 6386, 616, 9112, 543, 9738, 1107, 4030, 602, 2611, 4143, 2221, 267, 607, 7239, 3136, 21679, 609, 23543, 540, 2250, 32012, 885, 543, 5571, 9620, 585, 5126, 780, 307, 9506, 1631, 547, 519, 6249, 540, 4187, 267, 649, 1265, 1100, 17732, 540, 11121, 8941, 540, 10100, 543, 6043, 2429, 3162, 1977, 3332, 269, 3245, 9678, 6411, 540, 1219, 4800, 547, 27789, 5322, 585, 1689, 267, 891, 6386, 20838, 519, 13710, 1761, 540, 7104, 2962, 543, 1367, 8116, 269, 1358, 849, 7866, 519, 1164, 30367, 3238, 538, 4101, 31737, 1949, 540, 1379, 267, 607, 1134, 607, 519, 24279, 2838, 547, 3142, 827, 6209, 3356, 780, 13706, 267, 585, 3236, 267, 1772, 8475, 2353, 29868, 781, 3209, 834, 763, 5600, 540, 519, 9454, 1080, 2437, 799, 12225, 2873, 519, 2729, 540, 1614, 5481, 540, 2021, 9624, 16266, 781, 24360, 5912, 689, 9111, 547, 28983, 1222, 896, 4937, 4864, 334, 18237, 665, 2867, 269, 6239, 547, 519, 1650, 568, 27262, 1642, 966, 4150, 267, 513, 804, 1515, 341, 1195, 656, 1319, 686, 1105, 945, 3096, 1200, 2189, 5759, 547, 6330, 519, 13346, 2797, 5251, 543, 2149, 1200, 1920, 689, 2800, 269, 3414, 27262, 781, 4064, 267, 649, 7198, 1312, 519, 14042, 4539, 540, 1533, 5208, 543, 519, 9058, 4390, 540, 8723, 1004, 547, 5706, 15746, 780, 5472, 29868, 781, 960, 5713, 607, 513, 3532, 12576, 602, 4187, 3217, 1082, 3029, 1107, 689, 9602, 6411, 540, 1016, 11437, 547, 1857, 23405, 540, 29926, 269, 5047, 267, 621, 8711, 519, 2629, 1909, 5129, 676, 2021, 538, 20834, 1944, 2950, 543, 6117, 1514, 7004, 267, 1256, 538, 519, 3068, 540, 9583, 31837, 25236, 762, 12918, 780, 2026, 649, 9959, 938, 3408, 540, 28983, 1222, 543, 4187, 538, 3162, 1977, 5708, 267, 621, 3587, 2312, 602, 891, 5931, 3180, 3407, 4245, 585, 10188, 519, 10848, 540, 1379, 543, 6214, 538, 938, 1378, 942, 269, 6787, 29270, 519, 29886, 2360, 540, 19525, 267, 21679, 609, 519, 2591, 15054, 676, 14051, 267, 610, 8396, 1154, 8375, 2278, 23540, 5001, 267, 972, 568, 1454, 547, 1451, 689, 519, 3148, 781, 3638, 5339, 2245, 780, 3528, 2502, 609, 891, 1568, 9691, 267, 649, 666, 11349, 513, 4514, 7071, 585, 519, 6946, 7544, 1063, 17282, 543, 1219, 4800, 267, 607, 1134, 607, 513, 17105, 7029, 547, 5807, 811, 12581, 543, 1175, 7239, 269, 1656, 5310, 1034, 11932, 267, 649, 786, 3605, 602, 1369, 1142, 540, 721, 6013, 519, 1761, 547, 1118, 513, 3017, 1107, 2436, 998, 1507, 17267, 540, 17604, 610, 12050, 6411, 540, 4187, 269, 0, 2080, 568, 606, 1349, 689, 513, 2546, 912, 257, 23895, 5816, 679, 31423, 826, 2587, 5055, 1047, 267, 19217, 2946, 1612, 4856, 514, 928, 4077, 30592, 267, 4515, 525, 572, 584, 546, 685, 836, 5055, 529, 14193, 10370, 322, 19902, 1325, 664, 2051, 553, 632, 3026, 951, 1609, 1303, 328, 27056, 618, 678, 2946, 23653, 2946, 1612, 964, 20527, 331, 11726, 1407, 632, 20941, 2207, 4911, 5055, 529, 630, 299, 836, 1132, 267, 700, 8636, 2946, 337, 2137, 1696, 6406, 31907, 661, 13700, 836, 11726, 637, 1696, 681, 2946, 326, 1308, 525, 1040, 299, 525, 4930, 606, 857, 839, 23835, 476, 18863, 2946, 20527, 322, 761, 338, 1612, 8350, 20527, 331, 11726, 1407, 632, 19845, 4041, 630, 299, 8636, 2946, 337, 1155, 679, 18999, 826, 661, 13700, 836, 27056, 1040, 299, 525, 535, 2246, 525, 683, 521, 2632, 32488, 512, 719, 525, 1351, 3419, 2946, 525, 13248, 2900, 3455, 8350, 13755, 5886, 2019, 2632, 15530, 1696, 13248, 10063, 790, 964, 2175, 678, 2946, 21304, 546, 685, 583, 559, 5314, 964, 856, 2812, 1003, 2946, 686, 13196, 546, 753, 796, 2796, 324, 1313, 516, 6446, 1085, 7637, 790, 12991, 748, 642, 748, 556, 1067, 322, 687, 1810, 322, 13248, 12911, 516, 18656, 10885, 563, 291, 1853, 7217, 568, 513, 3209, 689, 519, 7819, 2278, 7638, 517, 3821, 681, 1054, 269, 898, 814, 1044, 3370, 538, 476, 1001, 272, 543, 621, 568, 851, 540, 519, 5339, 9135, 540, 29711, 807, 269, 901, 1433, 568, 519, 1101, 540, 513, 3811, 959, 559, 9609, 269, 1284, 616, 538, 513, 2022, 268, 777, 32565, 2749, 267, 19497, 9628, 269, 3371, 568, 519, 1650, 540, 519, 1433, 10778, 6826, 520, 29029, 13405, 267, 1572, 2558, 529, 267, 568, 519, 1292, 1915, 540, 713, 3209, 269, 2701, 5030, 538, 513, 2486, 5258, 883, 476, 276, 1249, 687, 267, 2687, 547, 519, 12880, 7209, 911, 328, 3010, 2237, 606, 3573, 543, 2143, 1576, 1770, 538, 513, 1837, 585, 2852, 1053, 1644, 547, 519, 1349, 1657, 267, 2519, 593, 834, 291, 1112, 2209, 1222, 543, 18650, 538, 3162, 1977, 11470, 257, 607, 851, 540, 834, 11227, 1315, 2622, 9085, 1315, 3162, 3013, 630, 14197, 29215, 1684, 711, 1175, 1592, 2035, 267, 855, 1020, 1142, 835, 538, 1469, 1354, 3001, 547, 519, 1985, 267, 607, 649, 4225, 3178, 540, 1620, 543, 3102, 3408, 540, 519, 1641, 2339, 936, 4560, 780, 2521, 547, 1384, 268, 3550, 538, 3829, 3795, 540, 519, 2035, 563, 268, 2422, 513, 2239, 267, 2219, 4538, 2511, 563, 268, 4045, 519, 1888, 609, 1699, 3466, 267, 1483, 3734, 1806, 267, 610, 2487, 2090, 563, 2710, 711, 1331, 513, 2140, 267, 2606, 2453, 267, 610, 2592, 269, 3503, 519, 1543, 2047, 269, 0, 769, 519, 2462, 2749, 540, 21388, 267, 7147, 267, 5030, 513, 1895, 540, 11112, 581, 28316, 3957, 7033, 828, 267, 12706, 518, 267, 543, 932, 529, 601, 518, 269, 1358, 941, 851, 540, 519, 9735, 2319, 693, 7147, 8564, 2142, 11232, 12706, 619, 267, 513, 4070, 2754, 602, 729, 1634, 782, 936, 585, 741, 19756, 21394, 256, 1809, 25015, 267, 789, 1185, 1044, 3206, 827, 1945, 1360, 1271, 910, 7863, 519, 4190, 4104, 1753, 789, 3838, 609, 1082, 824, 2831, 676, 4227, 3653, 543, 5009, 6940, 780, 3080, 13566, 6640, 267, 1247, 544, 684, 4221, 593, 930, 17705, 13626, 267, 7033, 828, 1767, 267, 968, 293, 12188, 267, 1705, 596, 917, 602, 3425, 12235, 2476, 6634, 540, 9748, 540, 2326, 1169, 1032, 1282, 4070, 286, 594, 1589, 649, 666, 948, 1689, 602, 17373, 27837, 267, 12706, 518, 3773, 267, 968, 2171, 1223, 946, 811, 13381, 543, 909, 7094, 539, 3688, 538, 938, 13976, 256, 898, 1131, 4688, 2200, 6730, 1832, 1919, 856, 540, 26071, 14325, 2419, 529, 601, 518, 21330, 31113, 269, 968, 4517, 7058, 1018, 286, 1284, 666, 1397, 3025, 875, 5863, 621, 568, 950, 649, 9337, 938, 3896, 256, 2913, 781, 1711, 513, 2027, 1747, 1572, 2048, 292, 1723, 18768, 8730, 2407, 540, 5961, 11744, 875, 649, 1065, 17123, 2025, 18646, 267, 14569, 267, 23691, 1107, 1256, 7745, 19269, 10590, 4256, 1544, 3459, 2921, 3337, 780, 5445, 3893, 547, 960, 1318, 2476, 267, 10655, 2984, 540, 6126, 5561, 945, 15874, 741, 10357, 7888, 2409, 269, 2290, 7817, 3957, 8293, 597, 7758, 5206, 267, 834, 307, 1410, 553, 8564, 2142, 11232, 12706, 619, 5828, 1250, 22938, 883, 513, 18241, 3529, 5264, 256, 3767, 594, 1745, 1390, 6616, 602, 3079, 540, 10678, 909, 538, 513, 29746, 267, 1346, 2326, 1336, 1007, 3483, 3010, 2026, 2395, 4682, 676, 267, 519, 2468, 334, 2813, 606, 3750, 2275, 10248, 20927, 10023, 513, 20446, 1500, 7357, 540, 13381, 2326, 269, 7201, 17231, 267, 789, 5116, 513, 12445, 3046, 16046, 547, 19889, 18768, 267, 799, 12006, 1142, 1788, 781, 9058, 3334, 269, 589, 1289, 3562, 268, 9146, 14376, 8436, 547, 6443, 741, 3039, 5692, 780, 3719, 1287, 3357, 519, 6397, 6335, 269, 4658, 6068, 741, 5499, 6272, 865, 1454, 602, 4166, 2614, 267, 3747, 585, 4264, 5656, 2799, 14831, 3585, 256, 901, 5921, 2324, 7466, 607, 2182, 267, 4466, 1256, 811, 2081, 547, 22120, 543, 18359, 3407, 2200, 269, 1656, 3006, 267, 789, 5185, 2591, 2059, 519, 1259, 1317, 9256, 5876, 543, 2825, 5539, 7012, 1405, 2141, 2653, 780, 32701, 267, 7033, 828, 267, 12706, 518, 267, 543, 932, 529, 601, 518, 7283, 5462, 547, 1118, 513, 3017, 267, 18445, 602, 8990, 267, 9345, 267, 543, 12391, 585, 2470, 5963, 17188, 1055, 538, 1818, 519, 1158, 513, 1732, 1747, 585, 721, 782, 269, 0, 2237, 606, 3872, 1650, 630, 274, 268, 276, 9433, 264, 6098, 693, 1762, 1453, 1210, 2241, 1913, 269, 634, 1650, 1058, 581, 6273, 689, 713, 1257, 6256, 281, 3097, 24685, 606, 4674, 547, 2569, 3653, 543, 3895, 6940, 538, 519, 4070, 2872, 267, 875, 1522, 596, 2699, 30472, 519, 7147, 8564, 14716, 3896, 547, 4183, 3785, 602, 6451, 13381, 610, 909, 7094, 539, 2679, 2326, 286, 6333, 2870, 513, 5094, 14769, 3296, 585, 891, 3785, 267, 10223, 519, 2189, 2326, 1031, 267, 543, 1519, 16499, 517, 10118, 689, 7218, 945, 5660, 519, 2754, 781, 7029, 547, 13476, 7874, 2679, 2853, 780, 11073, 1467, 540, 12474, 585, 7147, 8564, 14716, 19534, 1384, 296, 269, 10361, 518, 454, 268, 8298, 334, 454, 268, 32522, 3046, 454, 268, 11910, 547, 2962, 7735, 692, 2862, 269, 4985, 454, 268, 16684, 6609, 540, 519, 2754, 454, 268, 19247, 540, 519, 2754, 781, 6791, 543, 1995, 454, 268, 4985, 547, 2533, 6035, 692, 7656, 269, 7896, 454, 268, 26346, 6609, 540, 2533, 6035, 912, 476, 910, 20497, 8122, 7816, 454, 476, 910, 20497, 8122, 10380, 454, 476, 910, 20497, 8122, 5826, 692, 4353, 269, 3776, 4518, 454, 268, 6201, 540, 6192, 3785, 454, 268, 4530, 30266, 10118, 689, 13854, 7218, 454, 268, 8865, 2090, 540, 3811, 5010, 887, 10640, 763, 1650, 3085, 1406, 723, 547, 581, 5466, 3388, 538, 519, 6256, 267, 621, 568, 972, 1175, 585, 6667, 563, 763, 1650, 1058, 723, 519, 1739, 2934, 281, 3097, 268, 3163, 5610, 281, 7842, 2596, 2257, 2035, 1369, 519, 1650, 267, 7713, 873, 998, 519, 3197, 262, 9035, 543, 8906, 269, 1280, 1383, 267, 952, 519, 1650, 2882, 513, 6429, 1141, 3197, 616, 3168, 693, 519, 6607, 267, 596, 1223, 723, 873, 4898, 1946, 621, 781, 4544, 543, 2491, 519, 6323, 3297, 538, 3446, 1153, 1377, 563, 268, 15511, 281, 1331, 693, 2547, 835, 5188, 543, 16367, 6643, 563, 268, 17023, 6335, 281, 9959, 609, 513, 6335, 602, 3085, 1405, 8207, 607, 12479, 267, 855, 3762, 513, 2312, 3992, 827, 1272, 543, 2257, 563, 2710, 711, 1376, 609, 5929, 5220, 899, 834, 5629, 2390, 513, 942, 2580, 581, 3860, 269 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

[ 3116, 779, 2029, 269, 1306, 513, 24635, 21419, 267, 646, 5932, 2029, 543, 9604, 585, 7261, 321, 3073, 563, 21659, 514, 1185, 5030, 896, 519, 14692, 540, 15506, 2006, 585, 1296, 543, 646, 4941, 547, 6961, 547, 3025, 267, 1519, 23745, 267, 602, 646, 729, 5827, 540, 2921, 1416, 540, 1919, 269, 2334, 5012, 1864, 547, 1689, 1010, 2012, 547, 13957, 9405, 543, 723, 1010, 1292, 2749, 1373, 2349, 644, 6409, 523, 563, 19284, 824, 12325, 945, 798, 711, 723, 513, 3666, 1063, 5869, 1272, 543, 960, 1272, 267, 28120, 568, 2111, 547, 2149, 519, 3283, 646, 30128, 585, 1510, 2348, 547, 7866, 945, 646, 568, 896, 519, 9633, 269, 1261, 568, 2111, 547, 2226, 513, 2078, 609, 2576, 267, 971, 607, 4446, 3630, 23583, 267, 1354, 543, 1310, 1352, 568, 15506, 326, 20071, 563, 21659, 514, 568, 513, 1454, 811, 14156, 9921, 15705, 543, 1134, 14194, 3286, 539, 2149, 528, 1510, 3478, 1932, 14156, 7960, 538, 15063, 13485, 610, 8165, 519, 1292, 2895, 8686, 650, 664, 563, 21659, 514, 786, 2141, 581, 972, 585, 1004, 538, 8373, 269, 2991, 782, 267, 646, 568, 519, 15196, 24090, 256, 0, 763, 11485, 540, 1520, 1457, 718, 667, 11163, 281, 1215, 5395, 1190, 1772, 898, 888, 299, 17129, 772, 11520, 28714, 281, 5147, 476, 275, 267, 476, 1708, 273, 454, 283, 327, 272, 285, 1692, 5395, 1190, 1772, 519, 11485, 540, 1520, 1457, 718, 667, 11163, 286, 9572, 327, 272, 285, 2999, 335, 285, 3849, 1457, 718, 2443, 1634, 607, 18041, 2867, 8533, 11546, 868, 549, 2086, 2867, 8533, 538, 14453, 2474, 2443, 814, 1279, 1044, 1031, 547, 948, 2043, 7092, 689, 3007, 17211, 30759, 4524, 630, 4696, 8461, 264, 610, 562, 541, 1723, 548, 10043, 269, 21298, 267, 2705, 267, 519, 13310, 3075, 814, 2919, 1776, 10639, 281, 513, 1259, 585, 1053, 543, 4600, 547, 3801, 547, 2333, 741, 2702, 547, 1445, 269, 10251, 267, 519, 1297, 540, 1004, 945, 723, 3765, 4310, 1520, 1457, 718, 5170, 547, 4473, 267, 3056, 547, 3978, 4220, 543, 2427, 2360, 602, 13173, 519, 1646, 540, 13829, 543, 6219, 946, 4713, 27135, 335, 285, 2999, 335, 285, 3849, 1457, 718, 779, 2799, 6165, 543, 9860, 723, 3366, 547, 1082, 20887, 827, 519, 3075, 269, 4706, 3339, 1436, 814, 15469, 922, 21568, 543, 31965, 519, 7525, 543, 1279, 3856, 4220, 2404, 609, 519, 1646, 540, 513, 13829, 593, 519, 6219, 269, 1280, 713, 2601, 267, 621, 779, 1271, 547, 1174, 519, 2081, 1520, 1457, 718, 666, 581, 3765, 4310, 267, 519, 4128, 1946, 865, 1082, 2852, 1053, 616, 3384, 1039, 11881, 547, 621, 267, 543, 1018, 519, 4220, 540, 1520, 1457, 718, 8213, 543, 13829, 616, 269, 898, 568, 849, 2629, 547, 581, 3222, 540, 519, 3435, 2139, 547, 1346, 7092, 689, 8213, 610, 13829, 267, 543, 519, 1871, 540, 5275, 948, 950, 2877, 269, 21742, 335, 285, 2999, 327, 273, 285, 3849, 1457, 718, 543, 519, 4886, 540, 667, 11163, 543, 28548, 2422, 15136, 9572, 327, 273, 285, 2999, 15965, 285, 10303, 1520, 1457, 718, 814, 513, 1164, 1981, 540, 4742, 22925, 267, 621, 779, 10257, 547, 2243, 1946, 7189, 21559, 621, 538, 519, 1101, 1747, 269, 1306, 786, 1831, 2312, 267, 972, 568, 513, 2312, 11984, 1063, 875, 1520, 1457, 718, 666, 581, 1031, 547, 948, 1004, 896, 519, 1416, 540, 513, 4387, 267, 543, 875, 621, 666, 581, 26884, 269, 21742, 15965, 285, 2999, 327, 274, 285, 3963, 1772, 1520, 1457, 718, 3465, 8282, 286, 9572, 327, 274, 285, 2999, 335, 285, 3849, 1457, 718, 568, 3335, 11311, 538, 835, 540, 1079, 3029, 281, 1520, 1457, 718, 16843, 267, 799, 568, 606, 7525, 3146, 3161, 4528, 267, 543, 1520, 1457, 718, 2473, 305, 267, 799, 568, 606, 6905, 3146, 3161, 4528, 269, 1452, 1079, 5061, 8428, 538, 13121, 1137, 543, 1764, 269, 1520, 1457, 718, 16843, 779, 2360, 2063, 1063, 476, 275, 268, 277, 3108, 543, 568, 1419, 3144, 2789, 2053, 513, 1554, 269, 1520, 1457, 718, 2473, 305, 568, 3144, 1175, 2899, 3232, 543, 3335, 16569, 1063, 476, 1015, 268, 1321, 3108, 27135, 335, 285, 2999, 335, 285, 3849, 1457, 718, 568, 3730, 538, 4543, 2550, 4383, 741, 11838, 1317, 621, 779, 513, 2110, 19840, 532, 18041, 2867, 8533, 602, 2337, 2226, 22006, 543, 562, 648, 18090, 31058, 538, 519, 2634, 269, 1452, 1079, 6464, 616, 7533, 547, 938, 2702, 547, 1445, 269, 28576, 8533, 20674, 609, 10324, 1599, 267, 5179, 1983, 267, 543, 15699, 543, 8007, 21274, 2443, 782, 1983, 602, 1217, 2623, 543, 938, 2702, 547, 798, 4247, 269, 715, 648, 18090, 31058, 11226, 519, 19076, 13824, 538, 519, 2634, 547, 6318, 835, 779, 2295, 2557, 267, 1973, 2604, 267, 543, 1973, 4006, 269, 901, 4679, 1648, 267, 10332, 1145, 267, 543, 3965, 1599, 27135, 335, 285, 2999, 335, 285, 7212, 1520, 1457, 718, 568, 5097, 1031, 585, 8156, 11838, 267, 922, 2702, 547, 1764, 10332, 1145, 543, 1648, 568, 849, 1018, 2306, 621, 3730, 538, 5466, 562, 541, 1723, 548, 10043, 269, 21742, 335, 285, 2999, 327, 274, 285, 1692, 1772, 1520, 1457, 718, 16700, 4310, 286, 9572, 327, 274, 285, 2999, 335, 285, 32381, 540, 519, 18262, 610, 5305, 1826, 540, 519, 3075, 267, 782, 8747, 540, 1520, 1457, 718, 616, 2808, 6417, 6878, 676, 519, 2136, 2276, 10684, 2037, 7593, 10029, 630, 291, 12788, 1040, 898, 568, 7396, 607, 513, 21480, 4083, 6417, 6219, 267, 799, 568, 519, 5207, 8760, 513, 10629, 25535, 8282, 6646, 666, 4309, 538, 519, 2136, 2276, 269, 901, 561, 1742, 5813, 883, 519, 1164, 2157, 540, 6161, 4478, 1520, 1457, 718, 21568, 267, 13829, 267, 543, 8213, 27135, 335, 285, 2999, 335, 285, 6097, 547, 519, 2999, 320, 27430, 6889, 10059, 2517, 4178, 4732, 600, 327, 21542, 10993, 7933, 1092, 4882, 2572, 270, 29239, 11721, 3796, 270, 10064, 291, 308, 295, 5937, 564, 307, 11274, 268, 1001, 277, 270, 10064, 291, 308, 295, 5937, 564, 307, 11274, 268, 1001, 277, 15005, 22969, 27802, 766, 18816, 543, 10076, 2657, 7896, 10029, 9572, 320, 285, 630, 306, 4456, 295, 6347, 1070, 606, 6059, 476, 1556, 269, 274, 2929, 1004, 1657, 519, 2085, 540, 476, 1321, 941, 1210, 18041, 2867, 8533, 2472, 899, 1520, 1457, 718, 538, 476, 1001, 276, 269, 2986, 1346, 476, 1556, 269, 274, 2929, 267, 5111, 476, 275, 269, 279, 2929, 941, 3765, 6748, 891, 2472, 269, 5525, 538, 7766, 1296, 4951, 602, 1346, 2338, 941, 7678, 532, 20733, 269, 1452, 9193, 616, 22566, 540, 513, 1360, 3978, 1966, 609, 1520, 1457, 718, 21568, 538, 519, 2136, 2276, 27135, 335, 285, 2999, 335, 285, 10303, 1520, 1457, 718, 10607, 519, 1560, 779, 2067, 2702, 547, 1445, 543, 3251, 25805, 267, 621, 22587, 547, 1004, 1510, 513, 2564, 991, 585, 621, 269, 1717, 267, 952, 513, 1268, 3217, 1520, 1457, 718, 1510, 606, 11838, 610, 513, 562, 541, 1723, 548, 10043, 5868, 267, 789, 2196, 519, 1981, 540, 3384, 513, 6219, 946, 4524, 11212, 3533, 269, 1358, 1223, 849, 1020, 513, 10892, 547, 519, 3075, 267, 16550, 873, 547, 1491, 811, 540, 621, 547, 1745, 922, 5222, 543, 7679, 1359, 609, 741, 1560, 779, 2067, 2702, 547, 1445, 269, 769, 519, 1279, 2165, 267, 519, 2360, 540, 3765, 6748, 1520, 1457, 718, 616, 2484, 811, 5739, 982, 5363, 27135, 335, 285, 2999, 327, 274, 285, 29819, 540, 513, 28548, 2422, 13081, 9572, 327, 274, 285, 2999, 335, 285, 19013, 267, 1082, 540, 1346, 10010, 609, 8213, 798, 865, 538, 16563, 267, 610, 1256, 1510, 513, 2407, 9787, 540, 875, 3983, 1919, 723, 20335, 269, 1403, 596, 4250, 596, 610, 2576, 596, 917, 610, 2648, 814, 2919, 513, 6219, 946, 4524, 267, 972, 616, 930, 1883, 4191, 543, 2589, 596, 666, 1413, 585, 27135, 335, 285, 2999, 335, 285, 763, 3119, 13525, 267, 543, 2556, 1101, 1900, 547, 513, 6219, 946, 4524, 267, 568, 519, 2834, 946, 540, 1520, 1457, 718, 1510, 513, 13310, 610, 2564, 991, 585, 621, 269, 901, 666, 1419, 581, 19610, 609, 2921, 606, 9402, 18262, 610, 1360, 4749, 13059, 585, 811, 269, 3683, 942, 267, 519, 3593, 786, 1397, 4191, 540, 11605, 610, 2587, 340, 880, 952, 789, 979, 1510, 519, 3075, 27135, 335, 285, 2999, 335, 285, 288, 2919, 10892, 610, 21341, 593, 1520, 1457, 718, 666, 2253, 547, 1764, 824, 2127, 540, 835, 779, 1272, 269, 1403, 513, 1268, 5170, 547, 946, 1520, 1457, 718, 5103, 922, 2942, 5222, 593, 3344, 540, 741, 2123, 610, 3318, 1272, 267, 1287, 513, 6219, 946, 4524, 568, 1360, 7654, 519, 2014, 269, 6733, 585, 2242, 538, 960, 610, 1153, 2773, 267, 3347, 267, 610, 2168, 543, 5924, 2790, 1072, 27135, 335, 285, 2999, 327, 273, 285, 763, 2776, 28700, 540, 1520, 1457, 718, 24251, 538, 5441, 4841, 9572, 327, 273, 285, 2999, 15965, 285, 10303, 540, 18041, 2867, 8533, 11546, 868, 549, 2086, 2867, 8533, 779, 10639, 585, 4543, 2043, 609, 11838, 610, 562, 541, 1723, 548, 10043, 3251, 5059, 267, 10332, 267, 543, 25805, 267, 1520, 1457, 718, 814, 1831, 835, 540, 1082, 8102, 1218, 1373, 26884, 676, 513, 1713, 1297, 540, 2852, 1053, 538, 3013, 269, 3194, 6920, 602, 607, 1082, 607, 835, 538, 2185, 2852, 1053, 723, 3765, 4310, 519, 11838, 6646, 1510, 513, 1697, 5868, 538, 606, 3801, 547, 946, 519, 5061, 607, 1353, 11226, 27135, 15965, 285, 2999, 335, 285, 2691, 1520, 1457, 718, 568, 3765, 4310, 267, 10892, 13976, 909, 1454, 811, 3533, 982, 950, 1031, 676, 2043, 2921, 519, 3075, 585, 16392, 5301, 269, 1306, 971, 267, 2852, 1053, 4166, 1265, 2933, 2921, 2484, 811, 1520, 1457, 718, 982, 1022, 4387, 1131, 21559, 269, 3502, 1152, 1281, 713, 948, 6536, 606, 8213, 267, 855, 621, 849, 5012, 547, 1713, 15639, 2589, 952, 543, 950, 519, 1053, 6430, 547, 3247, 27135, 335, 285, 2999, 335, 285, 3849, 1457, 718, 8213, 538, 2852, 1053, 568, 2999, 320, 27430, 6889, 10059, 2517, 332, 529, 2224, 8542, 322, 6798, 8542, 27476, 8542, 8811, 10993, 270, 19587, 270, 629, 2224, 11075, 15621, 22969, 18034, 11342, 9572, 320, 285, 538, 2818, 540, 9992, 15715, 885, 543, 22408, 528, 885, 267, 607, 1134, 607, 538, 1053, 945, 616, 19801, 538, 5393, 8013, 3872, 3292, 610, 4610, 269, 6736, 922, 968, 13231, 344, 3075, 892, 10639, 267, 1053, 609, 1520, 1457, 718, 1039, 11881, 3335, 7118, 1454, 2539, 9344, 982, 741, 865, 828, 13413, 269, 901, 6920, 602, 1520, 1457, 718, 21568, 568, 1373, 12592, 676, 14767, 602, 6038, 6961, 547, 581, 7301, 269, 21742, 335, 285, 2999, 327, 274, 285, 300, 529, 935, 8526, 6168, 1520, 1457, 718, 9572, 327, 274, 285, 2999, 15965, 285, 3080, 540, 519, 4295, 20887, 827, 1520, 1457, 718, 568, 602, 621, 2306, 519, 3593, 21273, 269, 1717, 267, 1247, 1520, 1457, 718, 4679, 1445, 267, 621, 3085, 1406, 2333, 1565, 269, 634, 2634, 1568, 899, 513, 4887, 267, 543, 6091, 991, 16706, 269, 634, 1482, 4422, 585, 519, 2247, 281, 547, 5963, 1451, 543, 1831, 21273, 267, 596, 1590, 798, 811, 982, 1175, 1445, 269, 9828, 899, 17279, 267, 2259, 267, 543, 17133, 616, 1898, 585, 2965, 21716, 543, 20808, 1344, 27135, 15965, 285, 2999, 335, 285, 17829, 945, 21568, 1520, 1457, 718, 1419, 17854, 621, 676, 1201, 1090, 532, 519, 3075, 607, 513, 7110, 610, 6171, 585, 519, 2634, 269, 769, 4641, 267, 1520, 1457, 718, 26947, 32290, 519, 2634, 538, 2081, 602, 513, 2067, 7110, 610, 6171, 1281, 711, 269, 2755, 713, 3114, 1689, 2337, 2043, 609, 11838, 610, 562, 541, 1723, 548, 10043, 945, 991, 621, 267, 621, 666, 1267, 538, 3978, 3441, 585, 1346, 945, 1810, 1406, 27135, 335, 285, 2999, 335, 285, 4322, 1079, 20887, 616, 519, 6117, 3196, 585, 1520, 1457, 718, 21568, 593, 2852, 3786, 4926, 2066, 519, 2197, 267, 543, 621, 779, 1271, 547, 1305, 519, 2594, 2786, 269, 1358, 616, 1082, 1353, 11226, 543, 2994, 585, 2810, 1445, 602, 798, 711, 4125, 3075, 946, 269, 21742, 335, 285, 2999, 327, 274, 285, 19102, 2084, 10312, 9453, 519, 2422, 540, 1520, 1457, 718, 9572, 327, 274, 285, 2999, 15965, 285, 2791, 666, 20427, 2087, 707, 2702, 547, 1445, 3274, 676, 9591, 13533, 6208, 269, 18130, 2358, 267, 1199, 23550, 267, 4227, 19240, 267, 543, 9001, 2645, 899, 15460, 610, 2689, 3756, 666, 2981, 519, 7145, 540, 707, 4974, 269, 11545, 13467, 267, 899, 3850, 13951, 547, 1205, 2614, 3207, 543, 4189, 14312, 6980, 693, 519, 3617, 2053, 540, 519, 1554, 267, 666, 849 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

[ 596, 9062, 269, 476, 1109, 1607, 1109, 332, 1389, 519, 8691, 513, 3787, 4443, 543, 1447, 524, 13246, 727, 269, 476, 1109, 2414, 3444, 22599, 596, 1413, 585, 513, 1455, 3815, 602, 568, 2671, 676, 1022, 19362, 543, 1022, 14009, 538, 519, 1966, 269, 476, 1109, 2791, 666, 946, 1022, 19362, 543, 14009, 1317, 540, 519, 862, 32477, 3959, 540, 8691, 269, 476, 1109, 5629, 596, 723, 834, 335, 592, 1194, 856, 257, 610, 5258, 676, 607, 1082, 1455, 2188, 607, 596, 666, 267, 596, 666, 1287, 9062, 519, 6746, 2209, 543, 519, 32159, 602, 616, 2451, 269, 1403, 596, 723, 3444, 23545, 539, 7157, 267, 707, 1587, 568, 2356, 1109, 13678, 680, 1881, 780, 2691, 596, 9062, 6404, 2338, 596, 991, 547, 6460, 519, 6404, 2338, 547, 16789, 8454, 1101, 269, 476, 1109, 2791, 991, 547, 798, 713, 1317, 596, 991, 547, 2272, 585, 519, 2898, 1871, 540, 519, 1305, 269, 476, 1109, 8855, 476, 273, 2608, 476, 274, 1797, 1614, 5036, 540, 1079, 267, 865, 476, 273, 476, 272, 270, 274, 2608, 476, 274, 476, 272, 270, 275, 1797, 1614, 543, 835, 21144, 628, 5036, 540, 1079, 543, 513, 3791, 269, 476, 1109, 2791, 666, 711, 9062, 519, 2898, 2338, 14384, 689, 519, 8454, 780, 2162, 17773, 543, 6478, 10819, 692, 3080, 540, 519, 811, 2352, 3344, 540, 713, 1770, 568, 21264, 532, 519, 5106, 596, 991, 547, 798, 547, 4194, 513, 2262, 1966, 269, 476, 1109, 2171, 723, 14437, 827, 1082, 2453, 543, 1913, 602, 616, 10881, 267, 855, 581, 6297, 609, 1913, 899, 834, 1993, 1701, 476, 1109, 15987, 1082, 2053, 519, 2262, 1797, 547, 9062, 267, 621, 1419, 1397, 909, 3274, 607, 513, 840, 6570, 547, 2491, 1945, 269, 476, 1109, 15919, 972, 616, 1100, 1455, 1913, 610, 2453, 538, 519, 1966, 543, 649, 1175, 723, 547, 1118, 2631, 540, 519, 3510, 269, 476, 1109, 3080, 1259, 547, 948, 596, 1118, 2631, 540, 519, 3510, 568, 547, 12990, 2898, 2338, 610, 2653, 25162, 8454, 899, 835, 28451, 883, 519, 1966, 269, 476, 1109, 8196, 519, 3561, 2630, 607, 2259, 1818, 2631, 540, 2262, 2042, 563, 289, 1080, 26629, 806, 4083, 24908, 6478, 9046, 6657, 343, 692, 2162, 25513, 6478, 9046, 692, 763, 1739, 1966, 3123, 10539, 585, 1082, 1053, 945, 798, 711, 1491, 519, 942, 547, 1118, 2631, 540, 519, 1966, 543, 5924, 741, 2626, 780, 1103, 4873, 707, 1007, 21937, 26693, 476, 1015, 476, 273, 270, 274, 6550, 543, 676, 5147, 519, 21937, 26693, 476, 866, 476, 272, 270, 276, 6550, 269, 476, 1109, 1692, 1454, 2597, 1705, 519, 21937, 2744, 2496, 5575, 2306, 2631, 540, 519, 1966, 676, 2655, 23082, 2653, 2898, 2338, 585, 519, 6404, 2338, 269, 476, 1109, 4131, 781, 1118, 476, 1015, 476, 273, 270, 274, 3274, 476, 1015, 6550, 543, 476, 866, 476, 272, 270, 276, 267, 476, 736, 6550, 269, 476, 1109, 10190, 596, 666, 1118, 2631, 540, 519, 1966, 269, 476, 1109, 2005, 1152, 2306, 2631, 547, 10208, 476, 1015, 689, 476, 736, 630, 736, 910, 476, 1015, 815, 562, 264, 547, 1265, 519, 3017, 538, 6550, 610, 519, 2597, 6591, 269, 16265, 24219, 476, 736, 689, 476, 1015, 630, 1015, 910, 476, 736, 815, 562, 264, 786, 2285, 596, 513, 2942, 8870, 799, 1281, 711, 1118, 476, 1109, 338, 1619, 2094, 519, 21937, 1705, 711, 6336, 2597, 689, 4873, 547, 5147, 780, 8855, 267, 1175, 1317, 513, 1297, 2501, 1101, 538, 513, 2262, 1966, 1281, 711, 1611, 602, 621, 786, 2097, 1101, 538, 513, 1297, 4845, 269, 476, 1109, 2005, 568, 1271, 602, 596, 3247, 543, 1589, 827, 519, 3510, 543, 1118, 2631, 540, 621, 1354, 596, 2253, 707, 19106, 780, 2162, 16265, 24219, 17773, 692, 7712, 1840, 543, 12408, 616, 11201, 4238, 267, 18946, 17773, 568, 2147, 547, 4946, 8454, 538, 602, 596, 1590, 723, 519, 1482, 2450, 4773, 269, 476, 1109, 763, 3381, 689, 8940, 21993, 7315, 659, 611, 5519, 3820, 814, 513, 3730, 2203, 547, 1397, 596, 1946, 28976, 568, 1271, 780, 6826, 6297, 950, 18946, 6404, 2338, 269, 476, 1109, 2791, 949, 991, 547, 10210, 689, 519, 2898, 269, 476, 1109, 2252, 596, 10210, 835, 2898, 596, 991, 547, 6460, 602, 547, 513, 6824, 547, 1039, 547, 519, 6824, 6712, 540, 519, 6404, 1297, 269, 476, 1109, 2791, 723, 711, 4957, 519, 1871, 855, 723, 26948, 519, 6404, 1297, 538, 513, 1259, 602, 2636, 596, 547, 12337, 269, 476, 1109, 1103, 519, 2034, 1383, 3182, 3293, 2630, 267, 519, 835, 2898, 729, 10736, 883, 476, 2767, 270, 2767, 547, 1317, 621, 2877, 547, 581, 3773, 547, 476, 274, 270, 2767, 780, 763, 3381, 2630, 2982, 519, 5690, 1900, 676, 1900, 780, 763, 1883, 2460, 547, 3314, 950, 596, 616, 4946, 610, 18946, 8454, 568, 547, 1174, 602, 596, 991, 547, 723, 519, 1482, 2450, 4773, 1354, 596, 666, 798, 1022, 26398, 269, 476, 1109, 23804, 513, 1455, 14009, 568, 2870, 3160, 2450, 4773, 269, 476, 1109, 21413, 8840, 707, 4773, 630, 6577, 7631, 2209, 264, 883, 3160, 7306, 596, 616, 8572, 547, 12337, 269, 476, 1109, 30860, 602, 4466, 513, 1455, 14009, 568, 519, 1482, 607, 4466, 1455, 23385, 269, 476, 1109, 8450, 519, 7044, 689, 8940, 21993, 7315, 659, 23565, 344, 3820, 692, 2691, 4946, 6404, 2338, 596, 798, 711, 723, 547, 6460, 547, 16789, 8454, 269, 476, 1109, 263, 296, 5469, 1082, 1053, 3257, 713, 543, 621, 786, 960, 855, 621, 635, 27289, 707, 1966, 543, 3762, 596, 1930, 547, 811, 6959, 4700, 476, 1109, 8855, 519, 862, 32477, 3959, 2636, 596, 547, 556, 6716, 1125, 707, 1039, 1742, 538, 1022, 1931, 269, 476, 1109, 2791, 786, 1294, 713, 538, 519, 3381, 2630, 269, 476, 1109, 11997, 596, 666, 1039, 707, 2898, 2338, 543, 707, 8454, 14384, 269, 476, 1109, 16605, 538, 2247, 596, 1869, 991, 547, 723, 519, 1482, 2450, 4773, 780, 8512, 540, 707, 4879, 786, 581, 547, 3313, 1018, 5106, 547, 946, 950, 6061, 2262, 2042, 269, 476, 1109, 8855, 649, 2919, 1082, 1806, 540, 2262, 2453, 602, 2285, 596, 10881, 269, 476, 1109, 3719, 621, 568, 711, 8797, 547, 7048, 593, 8357, 1944, 873, 547, 4194, 782, 2262, 2042, 269, 476, 1109, 5278, 2262, 2042, 786, 711, 2887, 883, 1022, 540, 519, 6688, 649, 5941, 282, 4061, 267, 596, 991, 547, 1118, 2631, 540, 519, 1966, 269, 476, 1109, 3080, 4640, 568, 547, 12990, 519, 6404, 2338, 609, 2653, 2898, 2338, 269, 476, 1109, 1607, 786, 948, 596, 3313, 2436, 610, 711, 707, 1935, 568, 1818, 2631, 780, 1012, 13628, 267, 5130, 476, 1704, 267, 476, 1001, 274, 692, 2162, 5675, 12307, 6206, 692, 310, 6020, 16249, 661, 12702, 25972, 26395, 312, 318, 9826, 692, 2162, 7089, 16544, 1299, 10789, 545, 25285, 6206, 692, 301, 9331, 21612, 11550, 25807, 25765, 9041, 9338, 12283, 318, 9826, 692, 2162, 7089, 16544, 1299, 3397, 548, 3630, 545, 25285, 692, 10831, 16544, 543, 10789, 545, 25285, 9041, 14818, 5623, 7043, 518, 19405, 318, 692, 1012, 13723, 267, 5130, 476, 1626, 267, 476, 1001, 274, 692, 2162, 26157, 6145, 16301, 692, 2080, 616, 513, 1906, 7044, 689, 16679, 9142, 269, 1411, 786, 991, 547, 4766, 519, 1297, 540, 2474, 267, 2697, 519, 14170, 267, 543, 2012, 519, 899, 2474, 538, 513, 5750, 269, 476, 1109, 3383, 596, 991, 547, 3314, 547, 1039, 519, 6587, 543, 2347, 1022, 3892, 645, 9128, 16800, 596, 2347, 519, 5750, 630, 5408, 707, 840, 23150, 2020, 1607, 3381, 949, 948, 596, 1174, 519, 1104, 1734, 540, 3892, 780, 3080, 811, 1862, 0, 258, 6435, 8627, 2983, 6248, 11144, 692, 9223, 263, 272, 2567, 288, 717, 10422, 814, 513, 1455, 5223, 540, 476, 273, 1265, 519, 1871, 540, 1412, 333, 262, 585, 799, 519, 2040, 476, 273, 333, 2474, 568, 476, 3451, 2053, 519, 2040, 540, 562, 286, 888, 9223, 263, 273, 2567, 514, 589, 717, 10422, 519, 1587, 540, 519, 476, 273, 526, 543, 519, 476, 275, 628, 3410, 568, 5595, 2073, 1492, 476, 276, 628, 2165, 543, 519, 2040, 540, 519, 1101, 476, 275, 2165, 568, 476, 3199, 26098, 519, 717, 10422, 286, 2496, 272, 269, 678, 284, 273, 267, 865, 596, 1616, 692, 320, 263, 273, 22677, 273, 333, 9984, 272, 264, 815, 476, 3451, 320, 263, 273, 18898, 268, 272, 994, 333, 284, 276, 692, 541, 2608, 818, 317, 274, 815, 476, 273, 541, 317, 275, 454, 320, 16868, 317, 275, 268, 272, 19422, 337, 268, 272, 264, 815, 476, 3199, 692, 320, 284, 273, 267, 678, 284, 274, 454, 25897, 281, 476, 273, 267, 277, 267, 1240, 267, 7918, 267, 14341, 692, 14006, 539, 676, 19378, 454, 273, 269, 1879, 519, 476, 279, 628, 2165, 540, 513, 717, 10422, 568, 5258, 676, 519, 476, 274, 6113, 2165, 267, 519, 1267, 568, 476, 3953, 543, 519, 476, 1556, 628, 2165, 2986, 519, 5311, 568, 476, 30156, 277, 269, 4855, 519, 524, 6415, 517, 5223, 267, 519, 1101, 2165, 543, 519, 5311, 269, 780, 14006, 539, 676, 2506, 332, 516, 343, 692, 1012, 5381, 5999, 692, 272, 269, 12693, 10789, 692, 8340, 519, 2040, 540, 519, 1101, 2947, 2474, 540, 606, 12808, 12166, 11144, 609, 513, 1455, 5223, 1923, 337, 347, 283, 272, 952, 519, 2034, 2165, 568, 630, 275, 270, 274, 264, 543, 519, 5223, 540, 519, 2040, 540, 519, 10945, 540, 519, 2474, 540, 519, 11144, 547, 519, 2040, 540, 519, 2474, 540, 454, 273, 269, 12693, 10789, 692, 1103, 606, 12808, 12166, 11144, 609, 2318, 2474, 543, 609, 513, 1455, 5223, 1923, 337, 347, 283, 272, 267, 519, 2040, 540, 519, 1101, 1614, 2474, 568, 630, 2918, 270, 274, 264, 543, 519, 2040, 540, 519, 3003, 11144, 568, 476, 280, 269, 14419, 519, 11144, 269, 4855, 519, 1101, 2165, 543, 454, 274, 269, 12693, 12980, 692, 272, 269, 634, 1101, 543, 2063, 2165, 540, 606, 589, 10422, 616, 267, 513, 543, 561, 6606, 267, 1397, 602, 519, 2040, 540, 32671, 2165, 689, 519, 4098, 543, 32671, 2165, 689, 519, 1439, 568, 513, 1341, 561, 269, 476, 273, 269, 1403, 544, 628, 2165, 540, 606, 589, 10422, 581, 476, 272, 14672, 543, 32671, 2165, 581, 476, 272, 8276, 267, 1287, 1397, 602, 922, 544, 333, 628, 2165, 454, 275, 269, 12693, 12980, 692, 272, 269, 634, 1101, 543, 2063, 2165, 540, 606, 589, 10422, 616, 267, 513, 543, 561, 6606, 267, 1397, 602, 519, 2040, 540, 32671, 2165, 689, 519, 4098, 543, 32671, 2165, 689, 519, 1439, 568, 513, 1341, 561, 269, 476, 273, 269, 1403, 544, 628, 2165, 540, 606, 589, 10422, 581, 476, 272, 14672, 543, 32671, 2165, 581, 476, 272, 8276, 267, 1287, 1397, 602, 922, 544, 333, 628, 2165, 454, 276, 269, 12693, 13174, 692, 272, 907, 763, 1101, 476, 273, 2474, 540, 513, 12166, 11144, 616, 519, 1482, 607, 519, 1101, 1079, 2474, 540, 606, 12980, 11144, 7868, 1101, 2165, 568, 476, 1321, 543, 568, 3152, 982, 519, 2034, 2165, 7868, 2040, 540, 519, 1101, 476, 274, 2474, 5212, 519, 12980, 11144, 454, 277, 269, 12693, 10789, 476, 273, 692, 1103, 606, 12808, 12166, 11144, 609, 2318, 2474, 543, 609, 513, 1455, 5223, 1923, 337, 347, 283, 272, 267, 519, 2040, 540, 519, 1101, 1614, 2474, 568, 476, 2918, 270, 274, 543, 519, 2040, 540, 519, 3003, 11144, 568, 476, 280, 269, 14419, 519, 11144, 563, 278, 269, 12693, 2979, 595, 273, 9696, 543, 3126, 692, 763, 5216, 267, 27917, 628, 543, 2034, 2474, 540, 606, 12980, 11144, 1106, 519, 1101, 1614, 2474, 540, 513, 12166, 3126, 269, 634, 12980, 11144, 814, 1101, 2165, 589, 543, 1455, 3017, 546, 267, 543, 519, 12166, 11144, 814, 1101, 2165, 717, 454, 279, 269, 12693, 2983, 6248, 11144, 692, 763, 1101, 2165, 540, 606, 12808, 12166, 11144, 568, 476, 272, 543, 519, 2040, 540, 519, 2474, 568, 476, 1724, 267, 1265, 1455, 5223, 563, 280, 269, 12693, 726, 345, 5311, 27205, 2848, 557, 556, 4176, 27342, 2481, 517, 1775, 991, 579, 692, 763, 1614, 1483, 267, 23251, 842, 543, 1875, 25179, 2338, 513, 14720, 22698, 616, 971, 602, 513, 14720, 22698, 616, 538, 12980, 11144, 543, 513, 22698, 14720, 616, 538, 12166, 11144, 269, 4855, 519, 10230, 1871, 540, 519, 1455, 5223, 540, 519, 12166, 11144, 907, 9747, 267, 22772, 606, 454, 1015, 269, 12693, 2979, 692, 2304, 12980, 11144, 607, 519, 1482, 1101, 543, 2034, 2474, 607, 519, 12166, 11144, 269, 4855, 519, 2040, 540, 519, 1101, 476, 736, 2474, 540, 519, 12980, 11144, 269, 1215, 798 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

[ 0, 3848, 476, 1015, 281, 13067, 652, 1737, 532, 24601, 910, 22320, 2659, 13574, 5253, 543, 5269, 1715, 14886, 2439, 5970, 596, 2479, 16545, 1018, 621, 1131, 581, 899, 547, 4734, 3297, 519, 554, 755, 548, 543, 11861, 548, 540, 2749, 1272, 543, 1711, 513, 12560, 4630, 652, 1737, 1141, 596, 666, 1332, 707, 1378, 1426, 543, 2743, 4241, 1007, 2828, 286, 4270, 267, 1205, 4712, 547, 7832, 593, 606, 3078, 7045, 1317, 649, 2811, 827, 547, 2263, 519, 1158, 540, 4630, 652, 1737, 532, 2439, 5331, 4358, 609, 513, 1507, 4062, 540, 2244, 4904, 609, 936, 326, 3497, 18047, 543, 14460, 5656, 269, 901, 786, 581, 707, 17198, 547, 2490, 883, 513, 4190, 543, 11327, 3484, 256, 2311, 1101, 267, 1919, 1522, 3100, 11566, 267, 855, 1810, 1405, 5855, 282, 596, 723, 782, 519, 942, 596, 991, 547, 1451, 543, 1332, 2059, 609, 707, 3484, 269, 2060, 930, 4674, 543, 5876, 267, 596, 3513, 4166, 1294, 707, 2370, 4729, 540, 2244, 9927, 883, 1945, 5963, 2027, 780, 4131, 781, 1376, 676, 9544, 5452, 543, 8384, 873, 17708, 339, 269, 7756, 2010, 540, 5452, 786, 3132, 1585, 5613, 267, 5388, 267, 543, 5810, 269, 1306, 596, 4043, 547, 707, 2371, 3232, 1765, 22476, 873, 267, 9427, 18047, 267, 543, 5329, 10860, 693, 15922, 32503, 3513, 5469, 789, 1689, 936, 942, 269, 6969, 1279, 267, 596, 3513, 7556, 8949, 7031, 547, 16138, 880, 1312, 3054, 543, 1866, 269, 19457, 707, 4195, 3132, 609, 12543, 786, 948, 1628, 17052, 543, 7794, 4296, 1369, 707, 1007, 6917, 2146, 780, 3719, 7227, 267, 972, 781, 811, 547, 4630, 652, 1737, 532, 982, 1175, 3395, 7031, 256, 12292, 616, 1776, 1898, 2460, 540, 2713, 1055, 519, 2244, 269, 19529, 839, 267, 16933, 267, 23161, 267, 13265, 267, 543, 824, 7874, 1814, 1562, 949, 1831, 707, 1007, 15274, 269, 1358, 1683, 5798, 267, 5144, 267, 15144, 267, 543, 1256, 5779, 952, 596, 3442, 547, 6318, 873, 585, 602, 3483, 269, 595, 2130, 585, 891, 2831, 11414, 5539, 543, 8296, 1247, 849, 3246, 3407, 2200, 585, 707, 1582, 1606, 11211, 6197, 780, 2026, 596, 3136, 9750, 707, 4630, 652, 1737, 267, 2015, 4946, 3730, 3889, 971, 607, 1071, 3591, 267, 3046, 985, 267, 543, 24259, 269, 1452, 5656, 4196, 4052, 5301, 899, 13936, 2645, 543, 12062, 532, 2831, 267, 855, 789, 666, 849, 1039, 19259, 543, 7209, 547, 707, 3959, 269, 5463, 28672, 707, 2230, 609, 10477, 10651, 267, 2189, 18810, 267, 543, 6899, 11647, 547, 2992, 945, 596, 616, 543, 16436, 1866, 547, 2671, 538, 707, 7329, 22690, 545, 2197, 1272, 780, 8170, 1576, 267, 1100, 4630, 652, 1737, 1131, 581, 2347, 1510, 1565, 875, 547, 8190, 543, 3434, 519, 3536, 596, 4312, 6738, 269, 10341, 899, 666, 940, 267, 4584, 1782, 267, 13204, 7992, 267, 543, 7542, 13586, 1450, 596, 547, 2972, 707, 3771, 341, 3949, 2429, 1169, 4005, 269, 9578, 267, 5986, 909, 17705, 8286, 1210, 5820, 2786, 689, 707, 18147, 5932, 513, 2631, 540, 22920, 543, 9547, 7429, 1022, 4558, 1532, 4454, 7594, 1223, 2709, 780, 1103, 5758, 267, 4630, 652, 1737, 532, 9035, 9192, 2182, 960, 267, 3408, 267, 543, 11505, 883, 835, 16180, 1995, 269, 1635, 8508, 519, 4161, 540, 2870, 513, 4264, 1272, 998, 8105, 267, 3662, 9393, 787, 267, 543, 4199, 6888, 267, 596, 3513, 3605, 7772, 267, 7115, 267, 543, 6043, 269, 1924, 10544, 707, 25192, 267, 5066, 909, 707, 19492, 1407, 267, 543, 1577, 781, 4685, 2212, 14140, 883, 519, 22539, 1158, 540, 4630, 652, 1737, 532, 1927, 256, 0, 2080, 568, 606, 1349, 689, 513, 2546, 912, 257, 1805, 731, 1168, 9503, 2689, 454, 4517, 5514, 25178, 18524, 2593, 568, 711, 606, 4013, 11347, 610, 519, 17354, 540, 713, 3498, 269, 14645, 539, 2326, 4866, 547, 741, 9757, 5411, 454, 21615, 1046, 593, 513, 23406, 3460, 883, 519, 24781, 609, 853, 731, 1168, 9503, 1107, 513, 1454, 2000, 3437, 8105, 1138, 15975, 3014, 602, 814, 4465, 12271, 5001, 269, 674, 739, 1229, 538, 519, 3860, 14326, 540, 19634, 2740, 288, 701, 543, 3370, 676, 932, 22976, 8127, 267, 853, 731, 1168, 9503, 568, 513, 17175, 31498, 14212, 540, 8105, 267, 2146, 1272, 267, 543, 7045, 267, 782, 20386, 28426, 538, 513, 9159, 27164, 3613, 2643, 1242, 1158, 269, 1323, 967, 773, 29593, 1782, 2840, 339, 1117, 538, 519, 18920, 1148, 12716, 267, 853, 731, 1168, 9503, 20217, 596, 547, 1900, 2476, 689, 4683, 27865, 3415, 543, 11349, 513, 1272, 540, 29009, 1025, 1170, 563, 22013, 1324, 20553, 519, 6762, 267, 25166, 8973, 15232, 540, 853, 731, 1168, 9503, 454, 763, 29863, 540, 853, 731, 1168, 9503, 4012, 1227, 24025, 16134, 609, 6988, 269, 1411, 2253, 707, 3460, 676, 9100, 1746, 513, 678, 1495, 1144, 3484, 267, 606, 2025, 1907, 1305, 267, 543, 1085, 656, 344, 11113, 269, 634, 3119, 3804, 568, 547, 2981, 519, 3355, 15429, 540, 3552, 1633, 883, 513, 14762, 3484, 269, 962, 334, 3010, 2237, 606, 2502, 543, 3015, 1576, 1770, 538, 513, 1837, 585, 1647, 1153, 1053, 1644, 547, 519, 1349, 1657, 267, 2519, 593, 834, 295, 558, 652, 1737, 532, 24601, 257, 607, 851, 540, 834, 16300, 16337, 1315, 17151, 18887, 1315, 12426, 1299, 681, 21123, 5020, 2668, 634, 1543, 1058, 581, 3358, 585, 1647, 1153, 1053, 1510, 1991, 1702, 540, 519, 1888, 780, 2521, 547, 1384, 268, 3629, 2143, 3137, 267, 2057, 2930, 3822, 267, 543, 1459, 519, 2093, 538, 513, 3551, 267, 2239, 3159, 563, 268, 3417, 1806, 547, 1118, 519, 1641, 3839, 543, 3078, 585, 1762, 1647, 1153, 1053, 563, 268, 3680, 4304, 519, 1357, 1349, 538, 519, 1837, 269, 1684, 711, 1331, 513, 2140, 610, 2606, 2453, 269, 3399, 1603, 519, 1543, 2047, 269, 0, 8080, 547, 938, 3460, 998, 942, 547, 2263, 29859, 545, 18623, 1222, 256, 1411, 1522, 4898, 1018, 602, 1797, 910, 1134, 267, 1577, 781, 2736, 621, 1524, 1927, 269, 901, 1826, 540, 14172, 6212, 593, 519, 1568, 540, 3627, 29859, 267, 606, 2296, 10564, 945, 5030, 1282, 519, 476, 1704, 628, 2540, 269, 1261, 5206, 1082, 4583, 4773, 267, 855, 1010, 1034, 12021, 960, 568, 4440, 834, 13640, 611, 1047, 23452, 2437, 606, 12473, 6648, 827, 14088, 543, 18832, 781, 2887, 689, 11419, 538, 519, 12567, 540, 3798, 523, 780, 3086, 596, 949, 2307, 3054, 267, 1946, 1353, 29859, 286, 1548, 2306, 1864, 865, 1271, 602, 649, 1869, 2911, 827, 1864, 2221, 286, 5994, 1373, 835, 540, 519, 1101, 1004, 2479, 547, 7017, 538, 513, 1007, 1858, 267, 1175, 899, 875, 2038, 13896, 3357, 547, 3013, 3168, 585, 513, 4195, 1376, 269, 7982, 1287, 267, 4789, 849, 1185, 17701, 945, 4941, 547, 3409, 17946, 14975, 11182, 269, 1879, 789, 1336, 891, 4025, 267, 789, 1131, 2012, 873, 1310, 2933, 267, 741, 3885, 267, 610, 1945, 1713, 547, 873, 269, 2334, 781, 4010, 1018, 3627, 29859, 1705, 950, 646, 2813, 16494, 10600, 538, 1010, 6965, 2439, 4131, 781, 1491, 513, 6251, 1413, 693, 938, 1837, 8574, 689, 4505, 269, 898, 12909, 827, 930, 540, 519, 1360, 1101, 3959, 5411, 2282, 1018, 2968, 519, 4884, 540, 6115, 267, 12425, 269, 1452, 23806, 10645, 741, 13602, 540, 2244, 1454, 899, 25501, 588, 1136, 6811, 538, 30152, 4525, 269, 6684, 267, 3627, 29859, 18705, 3003, 5203, 525, 4904, 609, 3197, 267, 2984, 267, 543, 4245, 269, 3807, 607, 1346, 12703, 20339, 5887, 3293, 883, 7164, 4395, 4536, 267, 29859, 8268, 4798, 971, 607, 1434, 5288, 9409, 267, 1863, 786, 267, 543, 25863, 780, 3383, 267, 31617, 909, 607, 649, 4685, 4514, 883, 1620, 29859, 545, 18623, 1222, 543, 3605, 1946, 4974, 4589, 899, 3627, 29859, 2337, 721, 5660, 3332, 1256, 811, 256, 1284, 3513, 1451, 4241, 2553, 1031, 676, 5830, 7366, 540, 1296, 3516, 602, 616, 1869, 4143, 2221, 269, 1635, 6313, 32461, 689, 834, 13640, 611, 1047, 23452, 257, 543, 824, 8037, 9954, 267, 649, 666, 1294, 875, 1913, 1711, 3532, 2592, 543, 4664, 602, 13469, 2066, 5553, 269, 3414, 1187, 2238, 543, 5717, 267, 596, 3513, 1831, 513, 8746, 16159, 5827, 540, 7421, 1950, 5931, 1247, 11981, 1169, 1900, 540, 707, 5339, 7045, 256, 0, 2080, 568, 606, 1349, 689, 513, 2546, 912, 257, 289, 20477, 595, 5300, 9068, 267, 3778, 540, 6115, 6019, 267, 12425, 609, 4437, 7240, 4787, 564, 2583, 540, 3509, 540, 4706, 27505, 619, 543, 8871, 5799, 9093, 630, 24589, 14702, 281, 700, 269, 670, 269, 22676, 1206, 1299, 3213, 1421, 476, 6642, 273, 1916, 763, 3312, 5411, 540, 519, 3135, 13026, 676, 519, 18664, 965, 540, 6115, 941, 14062, 28865, 267, 26795, 28865, 267, 543, 9478, 28865, 267, 12789, 1421, 945, 941, 1851, 519, 3984, 540, 23078, 945, 555, 3994, 539, 519, 2244, 11325, 823, 540, 519, 32388, 2456, 5612, 1310, 922, 6679, 538, 519, 5614, 540, 476, 12293, 280, 585, 519, 9042, 540, 519, 3338, 799, 1185, 1044, 524, 17660, 676, 519, 12075, 513, 1906, 3275, 5892, 676, 519, 14097, 540, 10783, 12254, 342, 1460, 269, 634, 11562, 1218, 630, 821, 547, 1142, 540, 519, 7606, 5018, 264, 941, 18584, 4873, 476, 866, 267, 476, 12293, 280, 267, 543, 941, 23500, 676, 6276, 26673, 9581, 593, 519, 476, 1556, 628, 540, 5437, 538, 519, 1482, 1032, 269, 634, 8778, 540, 14062, 28865, 630, 342, 1551, 656, 3143, 269, 476, 31620, 278, 264, 729, 3957, 834, 29272, 8127, 8805, 2437, 272, 543, 8659, 1614, 4627, 543, 13977, 14633, 14143, 543, 8938, 14633, 829, 2583, 267, 14084, 593, 9697, 8127, 14840, 267, 513, 1507, 29815, 776, 540, 15873, 4536, 15880, 269, 2201, 519, 5087, 540, 713, 8778, 729, 519, 2244, 540, 9478, 28865, 267, 12789, 269, 630, 342, 1551, 656, 3143, 269, 476, 31620, 277, 3010, 2237, 606, 2502, 543, 3015, 1576, 1770, 538, 513, 1837, 585, 1647, 1153, 1053, 1644, 547, 519, 1349, 1657, 267, 2519, 593, 834, 300, 559, 2023, 545, 18623, 1222, 257, 607, 851, 540, 834, 299, 25604, 14473, 595, 6020, 12087, 26113, 1315, 7073, 1315, 476, 1704, 628, 11416, 2668, 634, 1543, 1058, 581, 3358, 585, 1647, 1153, 1053, 1510, 1991, 1702, 540, 519, 1888, 780, 2521, 547, 1384, 268, 3629, 2143, 3137, 267, 2057, 2930, 3822, 267, 543, 1459, 519, 2093, 538, 513, 3551, 267, 2239, 3159, 563, 268, 3417, 1806, 547, 1118, 519, 1641, 3839, 543, 3078, 585, 1762, 1647, 1153, 1053, 563, 268, 3680, 4304, 519, 1357, 1349, 538, 519, 1837, 269, 1684, 711, 1331, 513, 2140, 610, 2606, 2453, 269, 3399, 1603, 519, 1543, 2047, 269, 0, 3848, 476, 1626, 281, 2806, 3256, 514, 6955, 7360, 281, 589, 18043, 22410, 540, 6481, 10241, 267, 30332, 267, 543, 7351, 12367, 538, 10610, 2552, 28666, 17889, 692, 296, 269, 4985, 692, 6781, 3256, 514, 6955, 7360, 267, 4122, 5219, 547, 607, 513, 834, 339, 16244, 512, 3089, 2437, 814, 7153, 607, 513, 2442, 1560, 26048, 532, 10551, 5650, 6322, 693, 7393, 519, 5920, 540, 519, 17737, 269, 769, 1880, 267, 621, 9607, 2152, 971, 607, 4430, 2960, 267, 18604, 610, 9674, 14159, 6091, 630, 10972, 770, 12118, 6439, 328, 1070, 543, 10770, 3170, 12074, 269, 14904, 1419, 3343, 856, 705, 3256, 514, 6955, 7360, 1739, 1713, 2597, 2530, 267, 6379, 267, 610, 2789, 3105, 14159, 23361, 269, 1635, 3695, 519, 2564, 3156, 267, 2553, 267, 543, 4207, 7835, 1369, 713, 2361, 267, 713, 3184, 6663, 547, 1683, 513, 9488, 27733, 538, 519, 3741, 543, 2259, 540, 705, 3256, 514, 6955, 7360, 780, 2862, 269, 1473, 10716, 585, 2806, 3256, 514, 6955, 7360, 692, 288, 269, 13379, 13809, 692, 30535, 945, 723, 22734, 8101, 2597, 2530, 949, 1995, 29345, 3101, 2960, 1472, 741, 4571, 7611, 1813, 547, 7050, 15198, 1282, 5712, 540, 8377, 269, 9182, 267, 891, 2043, 949, 1265, 3635, 543, 2732, 13385, 547, 9395, 523, 543, 3159, 741, 14159, 3148, 269, 2806, 3256, 514, 6955, 7360, 666, 3927, 4894, 4430, 2960, 543, 5817, 5160, 547, 1711, 513, 23704, 543, 811, 9522, 539, 5920, 780, 289, 269, 26579, 692, 303, 27389, 656, 2021, 4749, 7237, 21401, 14159, 6091, 543, 2960, 267, 799, 949, 1291, 547, 1019, 770, 12118, 6439, 328, 1107, 519, 9668, 540, 519, 2451, 543, 1318, 30556, 540, 519, 6439, 639, 1352, 987, 4887, 269, 2755, 2067, 6051, 568, 2009, 2022, 31691, 267, 930, 2665, 28173, 10551, 6304, 998, 705, 3256, 514, 6955, 7360, 269, 898, 781, 4502, 15663, 602, 9176, 2021, 1058, 23679, 7227, 2394, 789, 2347, 1126, 321, 8960, 1354, 6236, 713, 1826, 540, 6391, 267, 2016, 922, 1761, 1764, 593, 2104, 26691, 780, 7656, 269, 9537 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

[ 519, 1259, 1063, 519, 695, 23124, 543, 519, 5497, 10278, 607, 851, 540, 519, 17825, 5832, 269, 3004, 1231, 949, 688, 592, 13557, 1570, 267, 954, 7116, 531, 11149, 267, 2489, 26708, 610, 7463, 26708, 538, 3483, 27059, 6517, 269, 12565, 26708, 2853, 543, 9297, 4268, 676, 3148, 282, 950, 2808, 538, 2474, 540, 9522, 2173, 3796, 610, 9522, 928, 10275, 559, 18852, 688, 27968, 829, 1770, 540, 1648, 10057, 267, 7841, 3560, 666, 581, 811, 3608, 982, 824, 1797, 540, 6283, 269, 26228, 11615, 616, 7691, 609, 13557, 21113, 950, 688, 27968, 936, 1279, 9883, 269, 1717, 267, 695, 3612, 676, 7841, 568, 711, 607, 8465, 607, 676, 519, 19814, 267, 799, 814, 8507, 538, 1454, 26708, 1373, 688, 27968, 676, 14903, 936, 1279, 9883, 269, 25021, 5370, 676, 7841, 3322, 1098, 338, 1222, 618, 3790, 950, 519, 695, 23124, 610, 17513, 3668, 1463, 7841, 1569, 563, 4322, 3790, 949, 9765, 602, 540, 5665, 519, 5721, 3294, 267, 513, 3815, 602, 2853, 971, 607, 8708, 1436, 2832, 547, 7413, 269, 27603, 267, 1804, 695, 26802, 1628, 15327, 543, 16292, 17346, 2282, 7841, 3515, 543, 723, 513, 3296, 540, 3950, 593, 741, 3959, 1572, 513, 521, 4575, 1141, 5370, 616, 16041, 5196, 610, 796, 2903, 539, 689, 7841, 6517, 269, 4033, 695, 26802, 723, 741, 5370, 688, 27968, 676, 14903, 547, 610, 689, 513, 5370, 6728, 269, 9540, 518, 21525, 582, 1161, 4483, 519, 7841, 6517, 689, 519, 521, 573, 902, 543, 5370, 10473, 547, 513, 8760, 13452, 267, 1141, 1142, 1286, 568, 13745, 547, 835, 540, 1896, 1279, 26591, 14884, 1373, 19632, 972, 267, 4470, 593, 602, 1286, 781, 10278, 282, 950, 1279, 2614, 267, 610, 1759, 593, 513, 8430, 267, 1142, 1279, 26591, 5721, 568, 771, 6312, 3481, 547, 1776, 8760, 13452, 269, 2311, 519, 1985, 8760, 13452, 267, 6517, 616, 759, 9285, 282, 1346, 602, 616, 30758, 585, 10473, 6039, 676, 602, 13452, 616, 8655, 547, 2199, 14884, 585, 6765, 269, 11524, 616, 556, 553, 5145, 1194, 883, 14884, 16144, 547, 8760, 18126, 6251, 547, 741, 3803, 10278, 269, 589, 2582, 1286, 1522, 581, 556, 5035, 1881, 610, 23564, 538, 1896, 18126, 1354, 8757, 922, 3803, 10278, 267, 513, 1184, 602, 1500, 7841, 26708, 3500, 543, 2799, 3790, 563, 6624, 26708, 7841, 12427, 616, 3843, 547, 2569, 891, 3790, 676, 4227, 610, 14874, 15175, 538, 8760, 18126, 998, 2553, 971, 607, 1770, 14884, 543, 8708, 1436, 269, 769, 1082, 2477, 267, 16456, 338, 723, 1044, 3710, 547, 688, 592, 835, 20161, 267, 971, 607, 5755, 610, 7626, 267, 689, 606, 24654, 1448, 547, 513, 2823, 269, 12565, 26708, 3096, 1082, 2010, 540, 26708, 1286, 282, 891, 1331, 4216, 6517, 610, 4988, 530, 30368, 585, 2489, 25584, 267, 6366, 6517, 610, 6366, 530, 30368, 585, 5230, 610, 4439, 5652, 13907, 267, 1134, 530, 30368, 610, 834, 869, 4452, 518, 257, 530, 30368, 585, 24317, 4155, 6472, 269, 4107, 5755, 543, 27960, 616, 6410, 538, 5577, 704, 530, 30368, 610, 575, 1180, 15614, 610, 1930, 530, 30368, 602, 666, 581, 4904, 543, 26809, 547, 5512, 3608, 7829, 540, 519, 2326, 269, 589, 2101, 19319, 540, 7841, 26708, 568, 922, 3668, 540, 8112, 269, 769, 851, 585, 713, 2601, 267, 7841, 814, 4503, 1454, 540, 519, 26708, 1870, 547, 4155, 3560, 269, 3509, 6608, 616, 1631, 3843, 547, 5000, 811, 26708, 5196, 14884, 267, 1317, 540, 519, 2825, 2640, 602, 621, 1131, 3142, 269, 22702, 547, 4155, 3560, 627, 20686, 4736, 327, 18271, 519, 579, 30284, 3264, 540, 18114, 267, 7841, 6283, 5849, 555, 3522, 339, 5370, 555, 3522, 339, 11012, 3378, 592, 323, 16068, 750, 342, 20686, 30284, 3264, 536, 3264, 16487, 593, 25602, 1297, 540, 18114, 616, 16487, 538, 25602, 2582, 695, 3612, 563, 1320, 20686, 30284, 17990, 269, 769, 2342, 1082, 5663, 10034, 2919, 1354, 519, 16749, 269, 3509, 15327, 1705, 711, 723, 1463, 7841, 1569, 282, 713, 5921, 602, 26708, 1185, 547, 581, 25855, 998, 513, 5370, 6728, 267, 2366, 676, 5721, 543, 796, 2903, 539, 693, 1776, 5370, 6728, 585, 593, 1189, 6765, 547, 1776, 12051, 269, 1879, 561, 528, 1845, 8719, 9640, 621, 729, 22237, 543, 5488, 547, 1118, 835, 3350, 676, 4155, 269, 769, 519, 2136, 2276, 538, 519, 4639, 543, 11068, 8862, 652, 10034, 2919, 609, 16749, 543, 15327, 1185, 513, 1463, 7841, 4276, 269, 6736, 519, 19479, 540, 1082, 5634, 3515, 1286, 2903, 11288, 689, 835, 2754, 547, 1776, 676, 7841, 3788, 1455, 269, 21805, 338, 941, 2038, 3755, 540, 13128, 1239, 4393, 3937, 267, 4358, 693, 519, 2490, 540, 519, 14206, 2540, 609, 5309, 3481, 6486, 543, 1770, 2594, 3937, 269, 3509, 7841, 1949, 723, 5828, 547, 2780, 1242, 20319, 543, 11938, 585, 14884, 799, 814, 4389, 3790, 543, 5280, 1039, 811, 5721, 6808, 547, 519, 986, 2812, 269, 6154, 697, 16456, 338, 2078, 609, 824, 12331, 540, 6283, 9775, 4922, 269, 1703, 568, 1100, 5872, 609, 2011, 325, 516, 697, 267, 2673, 9316, 609, 5836, 268, 4707, 26708, 543, 513, 8013, 2078, 609, 1279, 3845, 1854, 9535, 543, 536, 1618, 3560, 563, 6624, 4213, 6928, 741, 2472, 676, 7841, 952, 789, 616, 25855, 1279, 3845, 1317, 621, 666, 581, 14949, 547, 6928, 538, 1804, 9424, 676, 7841, 982, 676, 14903, 269, 6154, 697, 14884, 616, 3006, 24648, 958, 4604, 539, 676, 2043, 945, 798, 711, 723, 519, 2724, 610, 519, 7287, 547, 2951, 513, 2259, 5219, 547, 607, 834, 7749, 4771, 2668, 4107, 5577, 11825, 588, 578, 2476, 538, 4216, 322, 1513, 269, 645, 27212, 5577, 11825, 786, 6952, 513, 5721, 834, 517, 519, 8038, 2580, 602, 568, 267, 607, 621, 568, 3001, 267, 3056, 547, 17573, 28896, 267, 930, 540, 799, 979, 11389, 322, 867, 539, 282, 519, 957, 540, 6028, 513, 4884, 610, 1858, 267, 676, 5577, 4771, 513, 26708, 5721, 568, 3006, 5219, 547, 607, 834, 322, 10248, 13050, 2580, 607, 538, 20414, 513, 5721, 856, 540, 4884, 269, 10089, 330, 18535, 13054, 519, 5354, 540, 9522, 333, 720, 5645, 676, 1034, 26708, 16456, 338, 269, 10089, 330, 18535, 568, 20161, 18535, 267, 16487, 10002, 871, 3042, 454, 763, 6428, 836, 10426, 568, 19951, 519, 2101, 7823, 1780, 8220, 7187, 15787, 609, 3474, 9774, 19435, 267, 609, 593, 1189, 4296, 547, 918, 5429, 19435, 267, 7013, 15787, 267, 547, 519, 9031, 328, 11662, 540, 918, 1506, 828, 623, 752, 6255, 6064, 327, 11445, 269, 28210, 593, 519, 8473, 540, 3474, 9774, 19435, 543, 20045, 327, 17427, 19435, 267, 621, 568, 1175, 547, 519, 7532, 540, 519, 918, 2313, 534, 10426, 267, 1312, 540, 873, 941, 540, 1390, 2956, 538, 2038, 2053, 607, 789, 3177, 519, 1034, 1463, 4296, 1063, 519, 918, 5429, 3148, 609, 7187, 15787, 610, 15480, 9618, 6017, 282, 519, 6428, 836, 5211, 8928, 5045, 269, 634, 1780, 22613, 519, 9699, 918, 2313, 10239, 855, 568, 1631, 21271, 539, 998, 519, 6428, 836, 20658, 6773, 267, 799, 8255, 18284, 621, 693, 513, 4463, 540, 827, 476, 274, 267, 6110, 544, 267, 621, 6402, 918, 5429, 538, 519, 5045, 609, 631, 1794, 541, 25829, 4149, 9618, 604, 543, 918, 1495, 15120, 538, 519, 5087, 269, 6969, 519, 4155, 543, 15993, 941, 3710, 267, 519, 1292, 8905, 1063, 918, 5429, 543, 7187, 15787, 729, 3842, 519, 1744, 756, 541, 10426, 267, 513, 1454, 3476, 8905, 799, 3576, 1614, 2395, 282, 519, 4155, 998, 519, 1780, 814, 5645, 5230, 4108, 6808, 538, 2487, 7526, 543, 568, 538, 3983, 7816, 269, 2201, 476, 274, 5437, 476, 2735, 273, 267, 1282, 519, 8168, 1700, 17682, 12174, 2782, 267, 972, 729, 513, 5458, 3595, 538, 519, 15993, 799, 693, 519, 942, 729, 4904, 609, 8168, 4108, 5996, 9081, 563, 288, 1804, 267, 855, 7164, 1297, 267, 540, 8168, 10136, 941, 7166, 538, 519, 6428, 836, 15993, 3595, 269, 2201, 5988, 476, 280, 267, 476, 1001, 271, 267, 519, 1780, 729, 5734, 676, 2789, 1285, 23750, 2583, 269, 4340, 547, 2046, 5359, 519, 4155, 998, 519, 1780, 729, 5734, 676, 476, 1704, 1285, 23750, 2583, 267, 11318, 19421, 267, 30565, 532, 5195, 540, 19814, 267, 29212, 519, 6472, 538, 519, 6428, 836, 15993, 269, 1635, 5988, 476, 1015, 267, 476, 1001, 271, 8128, 1185, 16626, 936, 476, 8182, 4703, 269, 15571, 5131, 2342, 4080, 519, 1101, 1285, 23750, 3832, 17808, 519, 15993, 267, 16290, 6472, 538, 513, 6808, 25888, 538, 513, 834, 1372, 611, 569, 1285, 23750, 3832, 7997, 2668, 5903, 540, 7823, 10596, 454, 15463, 5953, 339, 568, 519, 3791, 28376, 2749, 540, 15787, 269, 898, 814, 513, 2551, 540, 827, 476, 275, 3607, 267, 4968, 267, 5713, 607, 519, 3854, 540, 4173, 520, 19435, 267, 13883, 538, 519, 15417, 14860, 540, 519, 670, 926, 5211, 538, 519, 7262, 851, 540, 519, 2197, 267, 621, 568, 5532, 609, 918, 663, 1695, 541, 543, 631, 1794, 541, 25829, 4149, 9618, 604, 3842, 23681, 476, 272, 610, 519, 8258, 4155, 269, 898, 568, 2417, 5532, 547, 519, 2749, 540, 631, 1662, 17495, 538, 15231, 9459, 998, 519, 8473, 4884, 540, 5771, 1627, 8403, 267, 547, 6307, 538, 12395, 5443, 6017, 547, 519, 5087, 998, 519, 8473, 4884, 540, 8776, 724, 1495, 328, 269, 4173, 520, 729, 12926, 1634, 585, 922, 9174, 282, 519, 2749, 814, 513, 1297, 1519, 519, 4173, 520, 13022, 12818, 543, 519, 4053, 718, 320, 13216, 269, 4438, 519, 5664, 12698, 4173, 520, 2968, 835, 540, 519, 1271, 4872, 540, 918, 1817, 553, 534, 267, 607, 621, 729, 1634, 607, 519, 23421, 540, 918, 1817, 553, 534, 267, 621, 814, 1044, 18170, 676, 1585, 13529, 17710, 2094, 519, 2038, 476, 1240, 628, 2540, 269, 769, 476, 14378, 278, 267, 519, 2749, 729, 22983, 676, 519, 12182, 13403, 4229, 2394, 789, 941, 30461, 676, 519, 2279, 3333, 541, 1749, 538, 476, 15094, 280, 269, 2991, 715, 14575, 20961, 781, 2669, 543, 13259, 24703, 20961, 20736, 3757, 328, 781, 4473, 547, 1379, 538, 476, 14690, 278, 267, 4173, 520, 2968, 851, 540, 15787, 267, 621, 14754, 930, 2797, 18063, 543, 4108, 32042, 1282, 519, 2038, 3368, 540, 519, 476, 866, 628, 2540, 855, 519, 476, 6977, 278, 15521, 540, 8303, 8694, 3984, 1988, 540, 519, 17454, 6261, 619, 1014, 2782, 563, 15463, 520, 6013, 593, 519, 3504, 4123, 11507, 540, 519, 5664, 5101, 543, 3162, 5607, 267, 2221, 568, 513, 6237, 13398, 538, 7262, 15787, 269, 634, 9897, 689, 4173, 520, 547, 9459, 543, 824, 2694, 540, 15787, 616, 1869, 21825, 1271, 282, 607, 519, 24891, 547, 9459, 267, 621, 25173, 1164, 2179, 540, 9821, 8907, 585, 15787, 269, 898, 814, 606, 3486, 19633, 282, 519, 2749, 814, 1164, 10821, 5860, 7265, 1229, 1472, 519, 4295, 540, 519, 2749, 269, 1717, 267, 7477, 656, 13602, 2272, 585, 513, 2362, 6871, 540, 519, 2749, 982, 10821, 2244, 946, 543, 6694, 568, 519, 4102, 6871, 540, 2698, 2244, 946, 269, 4653, 519, 2749, 568, 2808, 547, 581, 2922, 269, 4173, 520, 7389, 1394, 547, 3504, 2053, 269, 4438, 519, 1974, 540, 519, 589, 15939, 18779, 573, 7276, 267, 519, 4478, 8664, 729, 1634, 607, 4498, 320, 10216, 267, 538, 8106, 2959, 519, 3148, 729, 5330, 5944, 1634, 607, 589, 6319, 269, 769, 519, 2098, 19660, 770, 6929, 2997, 652, 320, 267, 519, 8664, 568, 5018, 607, 4498, 334, 10216, 282, 519, 2012, 540, 519, 8664, 543, 922, 1292, 4884, 568, 6508, 689, 602, 540, 519, 8783, 5757, 540, 519, 3148, 267, 519, 3371, 344, 5211, 267, 799, 21986, 525, 519, 8664, 543, 10596, 930, 476, 276, 5998, 5045, 540, 2413, 4173, 5953, 339, 563, 2080, 344, 568, 5018, 538, 16130, 607, 11344, 2681, 6697, 547, 14655, 834, 313, 731, 257, 2495, 7108, 269, 634, 20803, 540, 513, 3148, 543, 922, 9030, 4884, 1310, 519, 1292, 5757, 568, 513, 1455, 4183, 538, 713, 851, 540, 519, 1158, 1765, 4818, 732, 519, 7755, 334, 1456, 13102, 270, 31034, 14121, 12495, 540, 19966, 577, 657, 807, 543, 645, 716, 6319, 282, 519, 8664, 589, 6319, 540, 519, 589, 15939, 18779, 573, 7276, 568, 5018, 538, 519, 21621, 8638, 602, 616, 3769, 538, 1585, 10424, 1202, 18587, 267, 585, 3236, 267, 538, 519, 2142, 7290, 684, 30115, 540, 667, 23581, 594, 269, 24929, 689, 519, 8664, 616, 13269, 538, 8323, 338, 267, 552, 3052, 269, 693, 519, 10424, 589, 15939, 18779, 573, 9723, 2125, 540, 10878, 336, 3333, 3887, 681, 755, 600, 543, 3131, 572, 335, 12994, 269, 1358, 616, 9849, 590, 1097, 628, 1014, 16654, 10571, 543, 513, 27390, 645, 1662, 569, 330, 602 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

[ 693, 782, 264, 949, 581, 1898, 547, 519, 3364, 543, 1866, 23139, 563, 1432, 616, 519, 1614, 4661, 540, 17127, 888, 288, 2077, 13444, 5462, 602, 30373, 13408, 513, 4999, 540, 1614, 22587, 281, 27291, 267, 2619, 657, 267, 543, 31672, 269, 25175, 5275, 547, 22321, 606, 5304, 1058, 4739, 1010, 17017, 5048, 609, 5013, 630, 8421, 657, 1070, 26378, 606, 4661, 779, 3929, 2460, 630, 12949, 657, 1070, 543, 9306, 1010, 17017, 7805, 5837, 7555, 630, 996, 657, 1916, 3963, 1705, 17127, 2015, 7954, 607, 606, 5029, 517, 888, 2690, 17127, 267, 1287, 267, 7954, 568, 519, 6293, 630, 1492, 968, 6716, 517, 14615, 676, 1797, 540, 799, 649, 2097, 547, 917, 4376, 269, 1261, 6069, 607, 6101, 3652, 585, 2953, 7744, 519, 2596, 3741, 540, 519, 28547, 7954, 602, 729, 24080, 7608, 676, 5375, 15806, 2394, 519, 13524, 2540, 563, 3674, 18573, 606, 1898, 1143, 888, 5522, 6737, 729, 835, 540, 519, 1101, 1898, 1235, 267, 2022, 6819, 519, 1523, 540, 4998, 3029, 30867, 7493, 11769, 540, 799, 1367, 3615, 616, 6071, 1795, 13678, 3796, 563, 1432, 779, 4636, 609, 1898, 1143, 888, 763, 1101, 1966, 609, 1898, 1143, 568, 519, 5316, 1081, 540, 1880, 4162, 547, 3025, 4857, 609, 513, 1880, 7121, 267, 2059, 519, 3515, 540, 2048, 263, 718, 264, 2021, 616, 1286, 268, 3824, 543, 28450, 8730, 2048, 263, 718, 264, 20338, 723, 11733, 8730, 2048, 263, 718, 264, 1306, 2103, 616, 2146, 7259, 268, 1196, 17483, 1692, 798, 649, 946, 17127, 779, 24866, 2221, 888, 288, 2077, 13444, 814, 2813, 513, 4493, 585, 513, 1390, 4308, 540, 2221, 779, 3621, 1702, 267, 971, 607, 519, 8760, 540, 7103, 543, 3615, 269, 9282, 20093, 821, 748, 676, 1699, 4441, 267, 1010, 2185, 3887, 2211, 1062, 540, 2470, 630, 328, 4318, 269, 6886, 267, 2371, 267, 2831, 267, 543, 3425, 264, 814, 11461, 3744, 585, 5553, 538, 519, 1353, 540, 7350, 563, 3963, 568, 1898, 1143, 1271, 888, 29973, 1235, 3494, 602, 3610, 1058, 2119, 547, 7842, 2757, 5837, 2418, 543, 21644, 971, 607, 2463, 585, 6392, 267, 16177, 267, 535, 23474, 547, 10279, 267, 7156, 585, 1866, 267, 543, 16566, 543, 7214, 1702, 602, 1053, 991, 547, 1831, 2203, 4961, 563, 1432, 616, 1806, 540, 1898, 1143, 888, 29973, 1143, 568, 519, 2070, 602, 1978, 6688, 630, 324, 3052, 1421, 2021, 267, 7292, 2516, 267, 17878, 267, 3312, 20266, 27591, 11247, 264, 723, 606, 5817, 4641, 610, 3020, 2470, 602, 835, 3112, 7747, 2047, 563, 1432, 1281, 1898, 1143, 1611, 538, 6138, 888, 24207, 1143, 267, 769, 23835, 1108, 267, 519, 2070, 602, 930, 3601, 540, 3615, 616, 1898, 547, 873, 269, 634, 968, 612, 775, 892, 540, 513, 3364, 568, 22885, 607, 519, 9103, 1275, 540, 922, 1898, 3601, 269, 28636, 540, 1898, 1143, 8428, 609, 2463, 547, 741, 17748, 540, 1018, 621, 1797, 547, 2161, 602, 513, 3959, 568, 1898, 547, 606, 1843, 563, 1432, 568, 4636, 609, 1898, 1143, 538, 2069, 888, 290, 761, 6291, 540, 1898, 1143, 454, 763, 4116, 779, 2976, 894, 1909, 949, 24183, 1053, 685, 1719, 538, 1353, 269, 1306, 513, 1267, 267, 519, 1053, 2253, 547, 1491, 593, 811, 540, 513, 12809, 1909, 538, 741, 2069, 607, 789, 616, 7142, 547, 2743, 543, 1451, 971, 4441, 543, 1344, 563, 1692, 1281, 1898, 1143, 1860, 2069, 888, 29973, 1143, 607, 513, 3069, 31234, 1107, 25531, 3322, 1565, 540, 2596, 1983, 267, 6575, 543, 9443, 602, 941, 3730, 538, 519, 2250, 543, 2693, 547, 2611, 3730, 538, 519, 2104, 269, 634, 1898, 610, 2596, 1907, 1983, 14129, 9305, 547, 2542, 267, 1603, 12980, 543, 7608, 1514, 2623, 563, 1432, 568, 519, 29943, 540, 1898, 1143, 547, 2069, 888, 6097, 547, 519, 12708, 626, 267, 519, 1909, 540, 2069, 568, 519, 5912, 540, 513, 1455, 1560, 540, 1702, 267, 1983, 267, 2035, 543, 5389, 689, 5108, 547, 6267, 538, 1931, 547, 2981, 873, 547, 25006, 543, 4020, 1947, 3565, 24339, 5597, 547, 519, 2486, 563, 1432, 568, 606, 1383, 540, 1898, 1143, 538, 2069, 888, 29973, 1143, 568, 519, 3872, 3069, 4171, 3119, 3804, 568, 547, 4001, 1053, 519, 9238, 269, 634, 9238, 1331, 2542, 267, 1603, 267, 543, 12980, 538, 10026, 543, 519, 23937, 540, 2257, 267, 1686, 267, 543, 4914, 1893, 538, 6281, 1153, 563, 3963, 798, 519, 1153, 2115, 1898, 1143, 538, 519, 2069, 1062, 888, 763, 3483, 540, 3506, 538, 1898, 1143, 568, 547, 4001, 519, 2528, 779, 5389, 543, 2250, 547, 1053, 269, 898, 849, 2488, 1702, 543, 1983, 2877, 547, 581, 3811, 538, 513, 6639, 543, 11180, 2486, 563, 2710, 1898, 626, 3610, 2285, 909, 3450, 519, 9238, 540, 519, 1053, 616, 711, 5461, 888, 274, 269, 1684, 519, 1898, 626, 3610, 2285, 909, 3450, 519, 9238, 952, 519, 1053, 616, 711, 5461, 286, 3143, 269, 1358, 4001, 1641, 2339, 1256, 952, 519, 1053, 616, 711, 5461, 563, 2710, 519, 1898, 626, 3610, 3870, 513, 1279, 4081, 11706, 543, 10220, 609, 4295, 4170, 888, 2710, 519, 1898, 626, 3610, 535, 3497, 593, 1279, 4081, 11706, 543, 4295, 4170, 286, 3143, 269, 1358, 991, 1279, 4081, 11706, 543, 4295, 4170, 585, 17117, 540, 2596, 1983, 563, 3674, 519, 16650, 626, 7255, 609, 519, 2069, 540, 519, 2898, 1126, 888, 7712, 4743, 568, 711, 32682, 1027, 689, 2601, 538, 3375, 1818, 267, 519, 16650, 626, 7569, 519, 2069, 540, 519, 2898, 1268, 267, 711, 1175, 519, 2247, 269, 0, 302, 4117, 12292, 24436, 1280, 25595, 6840, 454, 2171, 2813, 891, 5836, 1272, 3211, 543, 4126, 596, 723, 1187, 1210, 873, 543, 1565, 609, 707, 3214, 563, 302, 4117, 2831, 5961, 585, 20854, 269, 667, 633, 883, 936, 476, 2004, 3817, 540, 5836, 3211, 4904, 609, 2979, 543, 7924, 1983, 585, 707, 20854, 23021, 2186, 1120, 691, 2996, 3446, 476, 272, 543, 3446, 476, 273, 1053, 269, 9894, 596, 917, 3592, 476, 4097, 540, 519, 3047, 568, 4988, 676, 12084, 269, 1548, 568, 865, 1390, 827, 891, 5836, 2238, 585, 3214, 568, 602, 972, 616, 2789, 1565, 9212, 543, 7801, 3817, 585, 519, 3214, 547, 946, 563, 291, 20462, 1231, 666, 7669, 693, 11250, 909, 547, 476, 2412, 5998, 327, 14015, 269, 31530, 7999, 7909, 1763, 26443, 5131, 2763, 513, 12826, 540, 1216, 609, 5068, 5836, 2831, 3330, 3246, 20854, 609, 14569, 540, 1216, 547, 25837, 543, 15835, 519, 13792, 5836, 269, 5131, 15026, 7256, 12292, 25595, 2401, 16974, 8525, 563, 13971, 476, 1724, 476, 1708, 272, 910, 18014, 5836, 6249, 2238, 13492, 2093, 25258, 543, 2200, 585, 1762, 1453, 538, 707, 9251, 840, 10275, 610, 9656, 4928, 269, 13028, 5863, 2831, 602, 2661, 538, 519, 5836, 269, 7909, 12292, 645, 5456, 13268, 540, 28826, 585, 15544, 543, 10632, 585, 18014, 563, 296, 2648, 3246, 1433, 5036, 1644, 547, 1699, 4798, 941, 4974, 610, 3584, 519, 3214, 616, 6029, 606, 1719, 538, 269, 25595, 6840, 786, 2972, 519, 5836, 2831, 10203, 2259, 543, 2262, 543, 4605, 12805, 3211, 1247, 5594, 4587, 3214, 786, 2648, 519, 10259, 269, 901, 3640, 814, 476, 1015, 3817, 609, 782, 5686, 540, 1565, 2238, 585, 707, 1762, 835, 563, 8450, 811, 2093, 827, 5836, 4798, 5836, 6249, 9251, 13492, 269, 901, 7792, 3640, 568, 513, 1390, 1259, 547, 6338, 1453, 547, 2097, 2189, 5836, 2831, 269, 634, 4102, 18107, 514, 568, 519, 20740, 17962, 563, 763, 7887, 5836, 568, 1572, 634, 7414, 7909, 269, 700, 1115, 4685, 883, 519, 2620, 4544, 269, 1358, 516, 513, 1390, 2534, 585, 707, 5836, 2000, 8221, 2370, 15226, 543, 666, 581, 1031, 607, 513, 4625, 3190, 1863, 2534, 950, 596, 946, 5180, 29654, 3079, 540, 546, 879, 828, 12508, 563, 268, 3465, 320, 2052, 9222, 28523, 625, 1280, 22312, 769, 7147, 454, 268, 28523, 625, 1280, 22685, 5406, 769, 681, 1446, 662, 715, 322, 454, 268, 28523, 344, 8274, 1656, 21541, 8779, 454, 268, 28523, 344, 22685, 5406, 15638, 27925, 454, 268, 1160, 623, 659, 28523, 344, 5253, 17352, 454, 268, 3465, 320, 2052, 9222, 28523, 625, 1280, 22312, 454, 268, 28523, 344, 8274, 1656, 21541, 22208, 454, 268, 2776, 18856, 13149, 12292, 5903, 454, 268, 28523, 344, 8274, 1656, 21541, 12548, 454, 268, 28523, 625, 1280, 22685, 5406, 29016, 12425, 454, 268, 28523, 625, 1280, 22685, 5406, 769, 25350, 11882, 454, 268, 28523, 625, 1280, 22685, 5406, 769, 27213, 6807, 18518, 454, 268, 28523, 344, 22685, 5406, 24611, 12821, 454, 268, 28523, 344, 8274, 1656, 21541, 14033, 2725, 454, 268, 32167, 1763, 26443, 7345, 9351, 454, 268, 28523, 625, 1280, 22685, 5406, 769, 595, 339, 5131, 454, 268, 28523, 625, 1280, 22312, 5245, 15117, 454, 268, 3465, 320, 2052, 9222, 28523, 625, 1280, 22312, 769, 14529, 454, 268, 623, 644, 601, 17763, 5793, 28523, 625, 1280, 22312, 476, 1708, 272, 9487, 454, 268, 28523, 344, 22685, 5406, 15544, 7043, 6816 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

[ 337, 1116, 262, 9775, 689, 1747, 547, 1747, 621, 1419, 4016, 547, 2127, 538, 519, 2197, 7255, 799, 616, 1447, 29822, 20651, 972, 616, 1114, 2010, 540, 6917, 2127, 267, 4470, 593, 875, 3015, 789, 616, 689, 4683, 2127, 891, 2039, 689, 519, 6917, 4683, 535, 16206, 267, 547, 519, 3665, 630, 8145, 1774, 269, 25511, 9562, 21269, 782, 2010, 540, 7819, 2950, 267, 855, 621, 568, 3226, 1455, 538, 6917, 2694, 540, 519, 2197, 1851, 4079, 945, 2661, 538, 6917, 2127, 267, 476, 5379, 260, 2161, 789, 1378, 513, 7784, 267, 3379, 609, 476, 2764, 260, 540, 4079, 945, 2661, 538, 519, 1016, 31755, 543, 1256, 7864, 1107, 476, 866, 260, 1107, 538, 4683, 2127, 267, 2687, 547, 513, 1007, 890, 342, 1382, 4099, 5619, 6917, 543, 4683, 7784, 563, 305, 1116, 23776, 6057, 281, 9860, 543, 3593, 4162, 795, 3317, 11717, 546, 7003, 1841, 517, 267, 544, 26387, 14646, 513, 575, 1446, 267, 20444, 2144, 11986, 524, 1990, 14525, 267, 943, 323, 4367, 713, 1353, 8947, 519, 9860, 540, 1875, 2173, 20510, 946, 540, 1928, 17212, 951, 543, 5869, 514, 538, 519, 2250, 1032, 538, 6917, 543, 4683, 2127, 543, 519, 8739, 24683, 4919, 543, 2804, 4162, 2404, 269, 5149, 476, 273, 281, 4162, 540, 6917, 1272, 543, 6917, 2950, 585, 713, 267, 10467, 5225, 2626, 519, 1739, 2055, 281, 476, 272, 1224, 519, 2376, 11331, 267, 1514, 4600, 685, 10372, 585, 2500, 6917, 2259, 267, 543, 7485, 856, 1614, 10372, 602, 596, 1336, 1034, 1271, 689, 707, 5133, 543, 1865, 1946, 596, 8359, 1346, 1614, 476, 273, 1224, 519, 2376, 11331, 267, 1514, 960, 538, 6917, 2127, 563, 288, 16758, 814, 4607, 7482, 547, 2628, 585, 16758, 11564, 585, 3484, 7264, 945, 2661, 538, 20281, 610, 6917, 267, 1875, 5471, 15844, 8579, 2127, 799, 540, 519, 1739, 7817, 4433, 264, 1131, 20618, 547, 4309, 713, 2027, 7616, 269, 3399, 4974, 4162, 540, 6917, 543, 4683, 2127, 1451, 6863, 267, 2474, 267, 543, 811, 609, 15460, 267, 3756, 267, 543, 824, 1353, 2645, 563, 1103, 6917, 2486, 267, 1514, 32756, 568, 513, 2757, 8984, 267, 1759, 593, 22634, 519, 6917, 2486, 568, 5258, 883, 1585, 31324, 593, 519, 4493, 540, 22634, 519, 6917, 2486, 568, 5258, 883, 1585, 31324, 593, 519, 4493, 540, 22634, 269, 22798, 4213, 616, 1346, 10909, 602, 616, 3964, 543, 7500, 538, 6917, 5468, 267, 2484, 689, 519, 23195, 2127, 602, 723, 12926, 1044, 519, 3135, 540, 1034, 1875, 268, 698, 3472, 1116, 1870, 16904, 269, 6736, 519, 11999, 7418, 602, 1920, 13500, 1118, 547, 6917, 5095, 267, 543, 5103, 513, 4080, 21045, 540, 13500, 538, 519, 8087, 2829, 267, 519, 2197, 779, 6917, 2127, 723, 1044, 1199, 1227, 9207, 5703, 585, 5756, 476, 279, 267, 280, 1247, 7194, 593, 519, 3169, 1297, 540, 6917, 22988, 4268, 609, 519, 269, 0, 1692, 547, 2328, 7924, 2239, 1557, 454, 1692, 547, 2328, 513, 2239, 1557, 2239, 3594, 616, 4122, 8655, 4773, 540, 1603, 693, 1114, 5933, 998, 1153, 3335, 267, 10467, 4125, 10213, 513, 269, 769, 519, 1739, 7924, 2239, 1352, 5206, 713, 1557, 585, 513, 2852, 1603, 1576, 267, 1141, 1200, 5304, 3769, 1200, 15032, 543, 14357, 269, 918, 841, 320, 530, 12291, 7924, 2239, 1557, 20444, 986, 2096, 1180, 476, 2918, 694, 4697, 476, 1001, 277, 2542, 543, 1603, 941, 5396, 602, 1250, 1920, 2818, 14201, 1406, 1932, 2462, 593, 269, 5675, 513, 7924, 2239, 6386, 616, 2984, 616, 596, 1603, 606, 1557, 585, 513, 1362, 547, 581, 3370, 538, 513, 4760, 610, 12139, 1945, 585, 519, 1357, 269, 476, 2004, 1888, 2093, 585, 707, 2239, 1557, 10372, 543, 4388, 585, 1603, 32538, 2671, 16212, 4580, 875, 547, 2328, 513, 2123, 2239, 269, 17402, 2239, 1557, 476, 280, 6246, 1913, 1923, 476, 275, 3817, 5933, 540, 7924, 1646, 1565, 547, 1224, 543, 2328, 607, 513, 1126, 568, 606, 1995, 602, 782, 666, 9305, 547, 269, 17402, 2239, 476, 278, 5104, 569, 649, 786, 2328, 513, 2688, 1557, 3732, 593, 7924, 568, 782, 827, 3695, 519, 1158, 540, 1913, 269, 589, 7924, 2239, 568, 513, 2123, 2272, 540, 1565, 875, 547, 1224, 610, 2328, 2263, 519, 4644, 540, 2835, 543, 519, 2854, 2262, 538, 707, 1272, 609, 713, 1603, 563, 32487, 910, 4102, 6538, 540, 2298, 3732, 3594, 543, 1382, 4574, 593, 7924, 2239, 269, 2296, 476, 9340, 7924, 2239, 1557, 11315, 8908, 694, 4697, 476, 280, 7924, 519, 2262, 1412, 32173, 2329, 262, 1797, 606, 2702, 547, 1224, 543, 2328, 269, 2549, 20782, 2587, 25222, 7548, 1183, 601, 518, 1603, 476, 4375, 320, 476, 280, 5104, 569, 476, 1001, 274, 7924, 2239, 9361, 593, 513, 10477, 24821, 543, 6947, 547, 1250, 840, 29292, 7124, 4116, 267, 945, 269, 27673, 781, 3803, 14769, 281, 14436, 1957, 281, 1250, 7924, 2239, 543, 585, 1296, 713, 2511, 540, 1603, 3594, 1131, 581, 1031, 547, 2328, 827, 4798, 540, 2984, 269, 17402, 2239, 2663, 593, 621, 729, 2919, 1256, 811, 950, 1775, 3893, 547, 1153, 543, 3610, 3459, 547, 3337, 543, 9044, 1250, 2511, 540, 2542, 543, 1603, 7924, 538, 563, 291, 2761, 532, 7924, 2239, 1557, 910, 8653, 281, 476, 276, 281, 3451, 737, 574, 795, 19414, 476, 25971, 5784, 875, 547, 2328, 513, 2239, 1557, 910, 8653, 281, 476, 275, 281, 6812, 512, 520, 10005, 9729, 525, 476, 6321, 267, 271, 3393, 5784, 269, 589, 7924, 2239, 568, 513, 1106, 540, 1863, 621, 568, 513, 1106, 540, 17770, 7240, 1603, 971, 607, 606, 1557, 267, 799, 666, 948, 596, 1451, 543, 6218, 519, 1909, 540, 7924, 538, 269, 20895, 540, 7924, 2239, 4734, 513, 6085, 10393, 1620, 519, 1259, 602, 12335, 729, 1603, 7602, 494, 7924, 2239, 269, 5131, 7924, 2239, 3594, 4574, 267, 3594, 267, 543, 1382, 4574, 563, 13625, 593, 7924, 2239, 844, 550, 514, 530, 7005, 476, 6200, 694, 4697, 476, 280, 628, 267, 476, 1001, 274, 1603, 1058, 2501, 1055, 607, 513, 13730, 4082, 540, 1913, 1169, 1603, 543, 1169, 2262, 269, 17402, 2239, 1557, 910, 1946, 581, 7255, 827, 519, 2689, 1931, 519, 2556, 5583, 593, 519, 3896, 2656, 543, 6325, 12591, 689, 2872, 3056, 2754, 269, 5675, 707, 1378, 7924, 2239, 2636, 596, 547, 2992, 593, 543, 2671, 1271, 2621, 538, 707, 2250, 602, 5280, 3337, 707, 2542, 543, 1603, 2853, 1603, 513, 269, 3503, 513, 476, 4968, 1700, 4335, 2262, 630, 272, 1700, 273, 2985, 264, 17770, 7240, 2239, 602, 6212, 593, 606, 1995, 596, 4076, 1185, 609, 2542, 267, 1603, 267, 610, 1893, 7924, 2239, 563, 26807, 4480, 666, 948, 596, 547, 5965, 513, 1697, 7924, 2239, 1557, 1863, 8586, 568, 606, 3635, 4543, 547, 4894, 1603, 536, 4169, 538, 2259, 267, 1863, 8586, 835, 269, 5131, 1557, 281, 1603, 814, 2141, 1044, 1250, 1034, 2352, 851, 540, 7005, 2542, 267, 593, 519, 824, 1688, 267, 568, 1945, 1775, 1223, 798, 782, 1554, 2705, 267, 609, 1603, 267, 1775, 269, 17402, 2239, 1557, 910, 1283, 7779, 2875, 1603, 6351, 910, 6718, 2688, 4574, 596, 666, 7048, 593, 519, 3056, 2852, 1557, 1603, 543, 11049, 3896, 910, 1205, 563, 1692, 547, 2328, 7924, 2239, 1557, 454, 30206, 827, 519, 7924, 2239, 1557, 543, 606, 1383, 689, 513, 1557, 563, 22923, 2203, 1557, 7924, 2239, 1603, 519, 5187, 2065, 543, 968, 4818, 716, 892, 6965, 1775, 10150, 18562, 267, 607, 1775, 3459, 547, 2328, 4574, 811, 1419, 269, 17402, 4016, 547, 2542, 543, 1603, 513, 2239, 568, 513, 1650, 865, 267, 950, 596, 9192, 891, 1079, 2474, 267, 7132, 519, 7084, 540, 606, 1557, 1644, 547, 873, 267, 596, 1058, 269, 17402, 1557, 476, 273, 270, 6734, 270, 1001, 271, 1286, 5443, 621, 19330, 513, 5098, 3948, 1317, 621, 568, 513, 2239, 1557, 519, 1557, 568, 849, 606, 1383, 540, 875, 519, 1603, 1184, 568, 2479, 269, 21931, 1603, 12851, 547, 513, 9135, 540, 1603, 602, 1419, 3340, 519, 1148, 875, 547, 2328, 513, 10855, 2239, 1557, 875, 547, 2328, 513, 7924, 2239, 269, 932, 1734, 616, 1352, 729, 10962, 596, 547, 519, 9238, 540, 2542, 543, 1603, 7924, 568, 519, 1250, 4116, 729, 20444, 2868, 569, 552, 889, 3471, 7924, 2239, 1557, 269, 634, 7924, 2239, 7084, 7125, 596, 993, 7701, 17875, 5112, 779, 7924, 9043, 2038, 2542, 543, 1603, 281, 1169, 5503, 1775, 723, 547, 2328, 606, 1557, 1775, 1175, 1589, 547, 269, 0, 15987, 9546, 323, 1889, 1512, 538, 476, 4350, 279, 607, 1134, 607, 667, 617, 5459, 543, 670, 539, 17507, 538, 476, 3707, 280, 2907, 9228, 602, 930, 3859, 1166, 4100, 941, 18110, 585, 811, 2395, 693, 519, 1482, 5544, 4010, 267, 519, 2856, 540, 4630, 1108, 585, 9804, 1166, 4100, 1185, 1044, 5189, 676, 11875, 2581, 267, 5062, 26366, 320, 543, 1234, 573, 538, 476, 3422, 271, 630, 272, 1040, 1358, 3989, 873, 607, 281, 834, 1862, 338, 1166, 4100, 799, 2049, 1967, 1947, 538, 519, 1482, 3742, 3148, 267, 5330, 538, 2990, 547, 519, 2199, 10877, 26105, 543, 1397, 513, 1455, 4806, 543, 1646, 2668, 674, 758, 12027, 543, 10162, 4923, 630, 273, 264, 6905, 519, 1523, 540, 4630, 1108, 547, 519, 27506, 2404, 5925, 2621, 607, 1134, 269, 769, 1010, 2663, 960, 630, 3422, 278, 264, 674, 758, 12027, 630, 274, 264, 5795, 930, 3606, 1217, 725, 543, 513, 21205, 540, 4630, 1108, 585, 5925, 2621, 269, 769, 476, 3422, 280, 623, 5793, 630, 275, 264, 8612, 519, 6228, 540, 4630, 1108, 585, 3859, 1535, 11920, 16802, 269, 769, 476, 3192, 271, 6519, 543, 808, 753, 338, 839, 630, 276, 264, 9672, 674, 758, 12027, 781, 13429, 602, 519, 9804, 4630, 27881, 1166, 4100, 616, 2404, 609, 4630, 27881, 5925, 2621, 269, 717, 641, 8403, 681, 7776, 6603, 519, 1482, 3932, 538, 476, 3192, 271, 630, 277, 1040, 24356, 519, 2078, 1063, 9804, 1166, 4100, 543, 5925, 2621, 519, 11855, 4589, 630, 276, 267, 277, 264, 4767, 602, 972, 1185, 1044, 930, 14413, 638, 9313, 538, 519, 4214, 540, 4630, 1108, 538, 519, 5925, 6389, 1498, 789, 1705, 711, 8858, 10502, 1141, 519, 1966, 568, 9444, 5795, 930, 19583, 585, 6061, 621, 269, 634, 3483, 540, 713, 9295, 568, 547, 17589, 513, 3932, 676, 30228, 519, 4630, 27881, 5925, 2621, 607, 547, 1018, 616, 519, 2178, 543, 4617, 2798, 540, 674, 758, 12027, 781, 7355, 269, 769, 1840, 267, 606, 3801, 814, 1044, 1500, 547, 2087, 891, 7355, 676, 10962, 1978, 7418, 269, 0, 305, 727, 334, 543, 20246, 281, 4729, 5758, 630, 9711, 476, 274, 267, 6429, 476, 272, 957, 476, 274, 10741, 609, 24271, 583, 1470, 543, 1649, 14179, 1470, 6972, 607, 519, 2003, 541, 20475, 1010, 7106, 549, 1998, 540, 519, 16806, 4566, 11783, 476, 5611, 279, 736, 1240, 957, 642, 267, 6429, 476, 274, 281, 2055, 543, 21604, 543, 20246, 957, 25831, 267, 10207, 476, 272, 543, 476, 273, 281, 950, 519, 12016, 10404, 3278, 21604, 267, 20246, 2242, 1200, 2247, 543, 1219, 1742, 1864, 11783, 19151, 543, 20246, 1557, 1946, 1058, 596, 1416, 827, 1769, 538, 476, 1724, 957, 476, 273, 6429, 476, 273, 2079, 910, 1863, 21604, 543, 513, 1281, 713, 2241, 3992, 4566, 585, 21604, 543, 20246, 563, 2108, 4435, 334, 543, 20246, 27535, 1698, 340, 2280, 543, 1395, 32002, 2544, 1557, 3732, 538, 519, 1404, 968, 4435, 334, 543, 20246, 892, 519, 7526, 1063, 630, 716, 476, 274, 267, 6429, 476, 272, 267, 1899, 476, 6078, 264, 21604, 5526, 269, 476, 13975, 279, 736, 1240, 1753, 9890, 1100, 4250, 12335, 9890, 21604, 543, 20246, 9890, 957, 476, 272, 267, 6429, 476, 272, 957, 476, 272, 267, 6429, 476, 272, 267, 1519, 562, 809, 16979, 476, 278, 543, 562, 809, 16657, 2775, 476, 274, 269, 2920, 476, 274, 267, 6429, 476, 272, 476, 272, 957, 476, 274, 267, 6429, 476, 272, 281, 930, 2152, 547, 2015, 585, 707, 1557, 4435, 334, 543, 20246, 476, 273, 21604, 543, 20246, 716, 476, 274, 269, 4828, 593, 21604, 543, 20246, 538, 519, 476, 274, 6113, 6429, 538, 957, 476, 272, 621, 2982, 875, 476, 274, 3817, 21604, 543, 20246, 10388, 1557, 713, 1404, 568, 827, 513, 7911, 3957, 21604, 563, 305, 727, 334, 957, 642, 267, 6429, 25831, 1178, 3272, 731, 1765, 1706, 529, 10523, 21604, 10523, 20246, 10523, 519, 3989, 538, 4441, 476, 272, 1700, 274, 1657, 264, 540, 21604, 543, 20246, 957, 476, 273, 267, 6429, 476, 273, 2545, 935, 344, 269, 476, 22903, 26392, 1704, 21604, 543, 20246, 281, 957, 25831, 267, 6429, 17488, 2079, 20246, 779, 3237, 267, 1818, 4566, 585 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

[ 2226, 27921, 609, 1312, 513, 27266, 543, 3706, 2784, 1014, 4806, 269, 634, 7347, 11733, 538, 21883, 6722, 665, 20294, 1355, 2157, 568, 4105, 547, 519, 3339, 1599, 540, 6722, 665, 20294, 1355, 3077, 8219, 543, 519, 670, 5183, 7852, 3210, 547, 2566, 269, 634, 17522, 540, 891, 18819, 568, 2404, 609, 2068, 538, 3425, 1547, 3794, 1075, 665, 20294, 1355, 10399, 616, 6385, 24704, 689, 519, 29427, 14189, 538, 3210, 547, 2566, 269, 9182, 267, 513, 4028, 2530, 540, 589, 12788, 538, 519, 993, 17789, 323, 8403, 4386, 267, 7654, 998, 4028, 15632, 540, 674, 8150, 295, 24975, 29230, 3974, 1547, 634, 9588, 676, 799, 589, 12788, 568, 28811, 11874, 31426, 609, 519, 6708, 540, 670, 5183, 7852, 11852, 269, 20523, 589, 12788, 2530, 19310, 1080, 5330, 5944, 3152, 4679, 538, 29416, 16238, 21131, 1547, 1306, 971, 267, 1697, 661, 5425, 3159, 896, 11931, 15581, 2175, 6411, 547, 16401, 519, 2300, 527, 2218, 2534, 13251, 676, 22965, 600, 622, 15202, 538, 519, 1666, 565, 8632, 13540, 540, 519, 993, 17789, 323, 8403, 269, 901, 1239, 568, 2963, 602, 519, 661, 5425, 4249, 513, 2629, 1909, 538, 670, 5183, 3210, 269, 6271, 9756, 1063, 6722, 665, 20294, 6950, 543, 519, 661, 5425, 568, 519, 2702, 540, 6722, 665, 20294, 6950, 547, 6385, 16578, 476, 273, 5025, 294, 10282, 538, 519, 20968, 31726, 1547, 2311, 519, 6198, 1377, 267, 1719, 538, 6722, 665, 20294, 1355, 543, 661, 5425, 4205, 568, 3395, 563, 2419, 597, 3282, 729, 13950, 630, 1911, 8406, 21515, 1560, 2597, 267, 533, 269, 334, 4700, 538, 8983, 267, 6721, 513, 1713, 4550, 13611, 2534, 543, 4824, 15934, 2534, 630, 8201, 476, 277, 1070, 4481, 15038, 540, 2706, 6448, 10982, 583, 848, 543, 22331, 848, 2534, 269, 8111, 6448, 10982, 583, 848, 543, 22331, 848, 616, 11476, 602, 2149, 2281, 689, 1863, 9097, 14213, 676, 19535, 5135, 2249, 267, 4481, 7250, 25681, 543, 2706, 6448, 606, 542, 269, 24021, 2963, 5267, 602, 31832, 560, 1779, 1063, 519, 661, 5425, 543, 19535, 5135, 2249, 15202, 1949, 6411, 547, 1110, 3634, 661, 5425, 10342, 607, 1134, 607, 2699, 2135, 27921, 538, 1114, 1591, 2010, 1547, 634, 661, 5425, 568, 3238, 538, 7939, 540, 19535, 5135, 2249, 10451, 543, 25094, 27701, 6127, 543, 2699, 2135, 666, 1110, 3634, 661, 5425, 1599, 10771, 606, 16799, 1063, 891, 1079, 7986, 15202, 1949, 269, 769, 1840, 547, 11006, 547, 25553, 273, 305, 630, 8368, 476, 272, 1070, 519, 3282, 15181, 2073, 2073, 543, 23776, 13364, 267, 11021, 602, 519, 3282, 949, 581, 6225, 585, 11213, 12982, 2175, 269, 898, 568, 2009, 602, 1279, 604, 565, 2940, 610, 824, 1768, 5155, 6950, 1459, 538, 519, 3282, 4865, 11006, 25505, 585, 25553, 273, 305, 267, 610, 513, 1979, 582, 4920, 4146, 568, 9648, 1310, 28453, 547, 513, 7623, 609, 25553, 273, 305, 11006, 25505, 269, 645, 3999, 4920, 4146, 540, 1279, 604, 565, 2940, 547, 4568, 338, 538, 11864, 814, 1044, 4080, 4586, 274, 269, 277, 269, 654, 768, 6229, 630, 9209, 28087, 807, 2612, 12764, 1756, 264, 12708, 13813, 454, 310, 768, 6229, 1898, 3282, 568, 711, 4122, 1031, 538, 12906, 7752, 2805, 543, 711, 4922, 2139, 20749, 269, 2776, 30570, 1382, 814, 4857, 602, 21431, 6229, 1898, 3282, 814, 14278, 1670, 2238, 971, 607, 15934, 267, 21734, 267, 543, 25316, 31730, 12792, 1496, 11152, 1700, 4817, 4940, 12559, 842, 515, 568, 513, 14984, 23931, 4235, 30341, 689, 3039, 606, 1047, 267, 535, 3317, 601, 267, 21431, 6229, 3282, 267, 543, 824, 11922, 602, 814, 1761, 585, 1312, 2800, 543, 6057, 1496, 9834, 267, 476, 9032, 4940, 634, 4235, 568, 5156, 547, 3132, 26390, 5209, 609, 7920, 552, 25045, 18319, 269, 774, 340, 329, 821, 568, 519, 3742, 7623, 538, 21431, 6229, 1898, 3282, 267, 855, 849, 1336, 538, 27041, 543, 512, 753, 344, 1898, 11041, 1547, 4325, 1529, 908, 602, 555, 340, 329, 821, 949, 2170, 609, 25553, 272, 305, 543, 1267, 538, 2612, 842, 515, 779, 4767, 883, 13877, 908, 2360, 267, 3173, 11567, 519, 2360, 540, 555, 340, 329, 821, 593, 519, 661, 5425, 563, 8794, 2234, 2723, 580, 663, 13805, 11006, 29508, 543, 9245, 7041, 689, 3731, 12058, 5627, 25553, 272, 305, 543, 1480, 9748, 2812, 609, 25553, 273, 305, 267, 519, 3173, 7152, 602, 555, 340, 329, 821, 19774, 519, 10991, 12800, 32009, 1496, 274, 295, 316, 9573, 476, 4649, 267, 280, 2412, 12544, 2407, 30748, 626, 540, 25553, 272, 305, 543, 25553, 273, 305, 1765, 21671, 693, 2362, 9830, 982, 519, 10991, 630, 8201, 476, 278, 264, 1547, 898, 1185, 513, 1360, 1970, 11006, 25505, 585, 595, 16576, 543, 8959, 547, 12954, 717, 3491, 974, 1231, 1256, 693, 476, 271, 269, 272, 544, 300, 269, 769, 1840, 267, 14148, 13950, 555, 340, 329, 821, 17820, 4744, 25630, 2623, 3379, 609, 14148, 13950, 26550, 517, 656, 2784, 565, 630, 320, 14984, 12800, 32009, 30748, 626, 1040, 634, 1239, 2303, 602, 21431, 6229, 1898, 3282, 267, 3638, 538, 555, 340, 329, 821, 267, 1152, 4617, 569, 5540, 661, 5425, 1599, 538, 2362, 9830, 630, 8368, 476, 272, 1916, 29973, 11041, 616, 1950, 23399, 540, 19979, 5214, 7135, 267, 799, 3622, 2270, 19421, 547, 7366, 540, 1970, 7636, 2597, 7135, 269, 769, 2489, 267, 27865, 518, 5155, 525, 543, 28140, 638, 3438, 5155, 525, 616, 519, 12880, 7135, 540, 1898, 11041, 269, 6833, 5155, 525, 616, 513, 1761, 2707, 540, 20188, 1110, 22399, 540, 519, 1439, 18100, 20188, 1949, 267, 1519, 519, 661, 5425, 267, 609, 519, 2702, 547, 12954, 12800, 514, 21544, 15202, 1496, 2764, 267, 476, 1911, 267, 476, 6200, 4940, 2368, 7135, 666, 20441, 519, 5888, 540, 519, 1898, 3282, 630, 7945, 607, 18861, 2892, 545, 2643, 622, 267, 799, 2306, 909, 811, 982, 476, 4817, 260, 540, 9758, 5162, 13582, 3282, 1070, 1247, 1866, 949, 581, 1459, 538, 1152, 8454, 630, 7945, 607, 1651, 523, 18030, 21449, 622, 538, 18367, 4532, 1619, 1040, 6884, 519, 1292, 7623, 568, 3743, 585, 519, 6211, 2360, 540, 519, 3282, 267, 855, 713, 568, 711, 2141, 519, 2013, 267, 543, 4749, 3152, 2534, 568, 4767, 609, 519, 2898, 3282, 2864, 982, 9678, 2101, 7135, 1547, 7324, 2030, 2472, 267, 1898, 11041, 17330, 1880, 3007, 585, 4791, 946, 1317, 540, 741, 946, 538, 3875, 7067, 1949, 2429, 519, 1686, 563, 28095, 1382, 814, 3254, 602, 1898, 11041, 609, 1100, 1634, 20239, 665, 27767, 27546, 610, 595, 16576, 14270, 1343, 538, 741, 5888, 949, 723, 661, 5425, 1110, 6819, 3601, 267, 865, 607, 547, 14487, 6915, 13808, 7357, 547, 513, 2101, 7623, 5337, 2803, 2898, 268, 8690, 7998, 543, 5348, 1458, 269, 7233, 1979, 17190, 568, 1950, 543, 2189, 609, 5634, 7135, 1110, 6819, 610, 19249, 519, 2360, 540, 519, 1292, 957, 1161, 269, 2290, 971, 1383, 568, 1250, 21683, 2940, 1765, 21720, 569, 1336, 538, 554, 3591, 267, 23741, 267, 543, 19790, 784, 14993, 1898, 11041, 267, 799, 19330, 27611, 2534, 538, 10072, 855, 10597, 519, 27611, 2534, 540, 824, 23466, 899, 12908, 534, 658, 543, 562, 1968, 1996, 12896, 25698, 543, 12896, 24308, 7103, 1547, 700, 1400, 944, 568, 1134, 8153, 585, 922, 2360, 593, 7099, 1533, 267, 855, 1256, 1898, 11041, 3638, 538, 713, 25499, 267, 899, 9782, 6229, 267, 7048, 2390, 519, 5348, 1458, 540, 5634, 23466, 547, 3132, 24196, 656, 2534, 1547, 6833, 11017, 523, 268, 275, 268, 565, 267, 519, 2101, 25499, 540, 9758, 7401, 3529, 1898, 3282, 267, 19299, 8037, 21734, 2534, 267, 1496, 10441, 1700, 13040, 316, 2943, 922, 4550, 29795, 1190, 630, 9391, 309, 268, 272, 264, 2534, 568, 513, 1267, 540, 1950, 4205, 1851, 2789, 23466, 1547, 6684, 267, 519, 1884, 4618, 1356, 2534, 540, 544, 2880, 1898, 3282, 568, 11911, 547, 519, 20239, 24899, 14658, 525, 540, 519, 2898, 1898, 3282, 2864, 982, 2582, 23466, 1547, 2755, 8320, 540, 513, 2582, 7623, 856, 704, 14127, 519, 2898, 1898, 3282, 2291, 267, 1496, 8099, 267, 476, 9340, 316, 519, 10889, 1359, 2360, 602, 949, 2569, 17219, 610, 8886, 656, 7207, 540, 2101, 3742, 23466, 3112, 581, 16053, 269, 6480, 4048, 1961, 1765, 30005, 538, 24958, 630, 302, 322, 3065, 24958, 32337, 1070, 535, 3317, 601, 267, 543, 824, 1898, 11041, 28934, 2808, 15910, 8328, 855, 621, 949, 581, 30737, 17300, 676, 824, 6675, 538, 519, 2898, 2030, 5119, 1547, 13216, 2030, 5119, 2360, 2154, 2417, 1353, 547, 6166, 30737, 10474, 540, 17219, 610, 2800, 267, 689, 5634, 610, 2101, 23466, 267, 855, 661, 5425, 25244, 676, 1898, 11041, 609, 1100, 4867, 1634, 12800, 32009, 5267, 2417, 1382, 609, 2898, 1898, 11041, 568, 11562, 5896, 563, 763, 27069, 2090, 2303, 602, 1898, 11041, 1110, 3634, 519, 661, 5425, 1599, 538, 3309, 2081, 1312, 2047, 543, 18549, 269, 6034, 11006, 547, 25553, 273, 305, 2488, 519, 1797, 547, 1110, 3634, 4761, 1599, 543, 519, 12982, 22107, 1228, 269, 6034, 30748, 1235, 540, 25553, 273, 305, 1450, 585, 7939, 540, 4761, 2281, 11589, 25553, 273, 305, 630, 289, 2281, 267, 1666, 2684, 2812, 267, 27765, 26578, 2281, 267, 552, 28009, 2684, 2812, 267, 15958, 2281, 267, 31457, 267, 715, 298, 2281, 267, 6120, 5268, 2812, 267, 570, 2281, 267, 3092, 4700, 476, 543, 616, 6305, 9072, 585, 519, 2126, 540, 1585, 12982, 2175, 269, 25553, 273, 305, 1404, 513, 2565, 1909, 538, 10970, 11868, 32677, 725, 3238, 538, 519, 31630, 540, 12982, 2175, 267, 29769, 807, 22812, 704, 325, 4288, 5945, 267, 2860, 267, 543, 31895, 17654, 3676, 1496, 13647, 267, 476, 14625, 4940, 25553, 273, 305, 949, 960, 10446, 610, 24625, 8271, 609, 25553, 272, 305, 538, 1114, 10408, 5095, 547, 10038, 3309, 6211, 543, 12214, 3252, 538, 2790, 543, 12214, 4713, 269, 25553, 273, 305, 5498, 29193, 30748, 1235, 602, 798, 711, 5352, 24379, 28400, 5562, 2360, 267, 899, 7460, 303, 267, 616, 5051, 15874, 689, 513, 9354, 5133, 269, 3733, 15488, 1898, 11041, 2270, 519, 1463, 16496, 30748, 626, 7460, 303, 267, 855, 2941, 320, 756, 320, 568, 519, 3056, 1898, 3282, 585, 9354, 946, 1813, 547, 922, 1713, 2157, 563, 29973, 11041, 602, 1110, 3634, 661, 5425, 2534, 2099, 3209, 519, 31706, 602, 1223, 11851, 5778, 23181, 633, 2360, 543, 3500, 2068, 11144, 538, 31895, 17654, 4713, 543, 2175, 5473, 5778, 514, 25691, 267, 971, 607, 12216, 779, 2068, 267, 2789, 26379, 267, 543, 993, 344, 582, 13116, 14694, 26379, 630, 28940, 1040, 3525, 1881, 4082, 540, 25553, 272, 305, 543, 25553, 273, 305, 814, 1044, 4767, 538, 513, 1480, 2634, 609, 12216, 779, 2068, 1496, 12893, 1700, 14056, 4940, 5047, 267, 8476, 631, 8980, 299, 679, 9195, 1738, 2534, 543, 2799, 674, 8150, 295, 4082, 543, 2534, 723, 1044, 4767, 2022, 332, 677, 655, 538, 1480, 12216, 779, 2068, 2634, 1496, 14093, 267, 476, 15686, 4940, 1452, 4681, 616, 2303, 633, 602, 27690, 2242, 538, 519, 661, 5425, 13251, 676, 6553, 949, 1404, 513, 1909, 538, 12216, 779, 2068, 269, 2920, 10474, 540, 25553, 273, 305, 543, 5778, 2889, 339, 1254, 676, 12498, 2275, 776, 19780, 2940, 5916, 609, 519, 5786, 540, 674, 8150, 295, 543, 631, 8980, 299, 2534, 676, 32175, 1898, 3282, 1489, 513, 8367, 602, 1210, 891, 11041, 519, 7764, 1227, 949, 1110, 3634, 519, 2634, 779, 17916, 3210, 543, 2569, 12216, 779, 2068, 11144, 563, 21296, 26379, 568, 606, 12982, 1629, 344, 601, 3215, 2783, 540, 519, 3844, 8401, 1062, 267, 3361, 676, 16991, 4323, 593, 24869, 514, 269, 27148, 540, 595, 16576, 538, 2634, 5160, 5439, 689, 2789, 26379, 2550, 4951, 602, 25553, 272, 305, 268, 543, 25553, 273, 305, 7721, 335, 7675, 2281, 616, 6394, 538, 3742, 2789, 26379, 29693, 13196, 543, 674, 8150, 295, 11747, 2534, 568, 13251, 1547, 589, 12788, 2157, 941, 9244, 17047, 609, 15087, 7298, 593, 9196, 269, 4033, 1382, 5267, 602, 1439, 18100, 1439, 665, 27767, 32009, 2157, 616, 22314, 538, 1004, 609, 1312, 3742, 543, 14980, 2789, 26379, 15087, 1496, 13199, 1700, 14862, 4940, 634, 9103, 1275, 540, 519, 1382, 5267, 602, 7988, 28832, 540, 519, 661, 5425, 4249, 513, 1909, 538, 519, 31630, 543, 11144, 540, 2789, 26379, 269, 634, 946, 540, 12800, 574, 574, 2045, 1898, 11041, 547, 19334, 25553, 273, 305, 267, 3226, 12498, 2275, 776, 19780, 2940, 267, 949, 948, 10038, 24869, 1588, 543, 3895, 4761, 3666, 267, 4061, 23646, 2789, 26379, 11144, 1547, 6034, 11006, 547, 25553, 273, 305, 676, 2941, 320, 756, 320, 543, 669, 597, 12566, 1898, 11041, 949, 948, 3339, 1125, 1439, 665, 27767, 32009, 2157, 543, 2569, 12982, 543, 2300 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

[ 815, 1193, 272, 266, 1412, 315, 308, 1822, 272, 293, 5392, 277, 1412, 454, 1038, 3116, 912, 2018, 1193, 272, 284, 1193, 272, 1341, 834, 27029, 825, 1193, 272, 284, 1193, 272, 1341, 1412, 315, 333, 7055, 2745, 19304, 272, 264, 0, 1598, 272, 284, 5257, 454, 1721, 4737, 538, 2039, 263, 278, 2187, 825, 585, 897, 538, 2039, 263, 276, 2187, 1038, 952, 630, 3712, 2525, 271, 264, 610, 630, 3712, 2525, 275, 543, 630, 992, 256, 284, 271, 543, 4737, 256, 284, 277, 4297, 528, 16733, 992, 2652, 271, 610, 4737, 2525, 277, 264, 543, 630, 3712, 285, 271, 543, 897, 283, 275, 15892, 2018, 1193, 272, 815, 1193, 272, 1341, 476, 834, 265, 4840, 1038, 3116, 912, 2018, 1193, 272, 815, 1193, 272, 1341, 834, 27029, 825, 1193, 272, 815, 1193, 272, 1341, 1412, 315, 333, 7055, 2745, 19304, 272, 264, 0, 20135, 815, 476, 271, 454, 2745, 630, 834, 8923, 4283, 476, 1015, 6502, 281, 19515, 1721, 1775, 538, 2039, 263, 1015, 2187, 825, 2085, 815, 859, 531, 9272, 2891, 8923, 4283, 2085, 538, 519, 2039, 540, 476, 271, 268, 8099, 281, 834, 4297, 258, 309, 454, 825, 1247, 630, 720, 283, 271, 264, 610, 630, 720, 285, 8099, 2567, 258, 3849, 4765, 6744, 532, 454, 1038, 2085, 815, 859, 531, 9272, 2891, 1103, 20777, 3403, 269, 7490, 4283, 2085, 538, 519, 2039, 540, 476, 271, 268, 8099, 281, 27328, 1038, 952, 630, 720, 285, 284, 271, 264, 543, 630, 720, 27045, 8099, 2187, 2018, 2736, 454, 825, 2698, 815, 2698, 1341, 2085, 454, 2745, 9497, 320, 2071, 2085, 568, 14307, 15615, 6025, 4973, 8358, 1015, 994, 0, 454, 3698, 3235, 4206, 16597, 2187, 825, 5727, 15253, 1393, 10566, 5263, 585, 513, 835, 8820, 5044, 540, 7403, 27969, 454, 825, 1948, 10566, 5263, 568, 2110, 585, 12170, 19469, 3892, 1599, 563, 28768, 825, 1948, 7089, 540, 1239, 2798, 281, 562, 454, 825, 562, 815, 7003, 16597, 2020, 825, 1948, 1535, 1673, 1092, 585, 519, 10566, 5263, 281, 1535, 454, 825, 1535, 815, 5286, 31699, 16597, 2020, 825, 1948, 586, 1673, 1092, 585, 519, 10566, 5263, 281, 586, 454, 825, 586, 815, 5286, 30784, 1052, 263, 272, 267, 562, 266, 272, 264, 1315, 562, 692, 825, 2132, 1535, 267, 586, 454, 453, 692, 258, 30770, 10566, 5263, 585, 2613, 545, 565, 528, 1239, 281, 1535, 318, 951, 267, 586, 318, 951, 454, 343, 318, 951, 267, 586, 318, 951, 815, 3235, 4206, 263, 951, 545, 565, 528, 318, 7065, 531, 28747, 2020, 258, 2637, 4733, 4729, 454, 318, 815, 12301, 19502, 3287, 318, 951, 267, 586, 318, 951, 267, 15262, 284, 8339, 3299, 13274, 5598, 8782, 333, 821, 17210, 258, 5269, 519, 19114, 8799, 454, 10823, 6230, 1173, 1231, 263, 271, 269, 6349, 2020, 258, 22443, 519, 17887, 454, 318, 815, 12301, 11859, 16932, 3488, 309, 619, 545, 565, 528, 4620, 531, 3259, 5073, 318, 815, 12301, 269, 29786, 3488, 4488, 5263, 17210, 258, 18224, 519, 4729, 454, 318, 815, 12301, 20481, 3890, 0, 5035, 20556, 13911, 912, 825, 8173, 825, 853, 2803, 3334, 540, 513, 2078, 1826, 912, 1038, 538, 8196, 281, 6787, 2078, 1826, 568, 538, 946, 454, 1038, 1826, 318, 23026, 16182, 281, 9517, 540, 519, 3625, 602, 8637, 5569, 2012, 540, 938, 1826, 454, 825, 13966, 609, 519, 4994, 1141, 519, 2078, 1826, 568, 6740, 454, 825, 29185, 825, 1219, 6449, 8181, 9191, 1345, 267, 4994, 284, 271, 267, 538, 318, 2224, 18989, 267, 1826, 318, 23026, 16182, 284, 271, 2187, 1038, 8173, 1038, 19461, 1125, 513, 20556, 13911, 2594, 780, 1038, 2433, 12407, 4994, 281, 12039, 540, 2078, 1826, 454, 1038, 2433, 6943, 4994, 281, 703, 454, 1038, 2433, 12407, 538, 318, 2224, 281, 6787, 2078, 1826, 568, 538, 946, 454, 1038, 2433, 6943, 538, 318, 2224, 281, 536, 944, 454, 1038, 2433, 12407, 1826, 318, 23026, 16182, 281, 9517, 540, 519, 3625, 602, 8637, 5569, 454, 4449, 23526, 2012, 540, 938, 1826, 454, 1038, 2433, 6943, 1826, 318, 23026, 16182, 281, 703, 454, 1038, 2433, 8873, 281, 2078, 1826, 3236, 454, 1038, 2433, 337, 6943, 281, 20556, 13911, 454, 1038, 8173, 1038, 1948, 12039, 568, 1152, 6740, 538, 3965, 563, 1038, 1582, 28827, 815, 4994, 454, 1038, 1948, 18880, 6740, 538, 519, 20556, 13911, 1805, 648, 3758, 454, 1038, 1582, 23357, 8196, 815, 538, 318, 2224, 454, 1038, 1582, 269, 6943, 28343, 27306, 815, 1826, 318, 23026, 16182, 692, 825, 1219, 6449, 18091, 9191, 1345, 267, 824, 2187, 1038, 8173, 1038, 3683, 2903, 519, 2652, 11346, 692, 1038, 2433, 12407, 824, 281, 4033, 2078, 1826, 454, 1038, 2433, 6943, 824, 281, 20556, 13911, 454, 1038, 2433, 8873, 281, 6936, 952, 6697, 267, 7301, 6382, 454, 1038, 2433, 337, 6943, 281, 536, 944, 454, 1038, 29185, 1038, 952, 568, 27349, 263, 1278, 267, 1582, 14857, 5035, 1029, 2187, 2018, 2132, 630, 1345, 28827, 2652, 824, 28827, 264, 543, 26444, 4449, 567, 630, 1345, 23357, 8196, 2652, 824, 23357, 8196, 264, 543, 26444, 4449, 567, 630, 1345, 269, 6943, 28343, 27306, 2652, 824, 269, 6943, 28343, 27306, 994, 1038, 3116, 912, 2018, 2132, 8771, 692, 825, 1219, 6449, 928, 9191, 1345, 267, 824, 2187, 1038, 8173, 1038, 3683, 2903, 519, 11203, 11346, 692, 1038, 2433, 12407, 824, 281, 4033, 2078, 1826, 454, 1038, 2433, 6943, 824, 281, 20556, 13911, 454, 1038, 2433, 8873, 281, 6936, 952, 711, 6697, 267, 7301, 6382, 454, 1038, 2433, 337, 6943, 281, 536, 944, 454, 1038, 8173, 1038, 2132, 711, 630, 1345, 2652, 824, 2020, 825, 1219, 1592, 4311, 2187, 1038, 8173, 1038, 5903, 519, 3688, 602, 713, 1826, 3568, 267, 27195, 519, 4994, 269, 901, 568, 454, 1038, 9247, 875, 621, 781, 6740, 593, 12210, 692, 1038, 2433, 8873, 281, 5903, 540, 1239, 8659, 538, 713, 1826, 454, 1038, 2433, 337, 6943, 281, 1592, 454, 1038, 8173, 1038, 2132, 1496, 1345, 23357, 8196, 267, 1582, 269, 6943, 28343, 27306, 2639, 0, 5228, 21773, 1104, 2037, 636, 7531, 5035, 20556, 912, 825, 8173, 825, 853, 2803, 519, 1739, 1344, 827, 513, 2078, 912, 1038, 910, 12039, 281, 3546, 12039, 540, 519, 2078, 538, 519, 4558, 3758, 454, 1038, 910, 769, 2422, 281, 25639, 6787, 519, 6538, 568, 1210, 519, 2078, 454, 1038, 910, 667, 3925, 281, 2018, 667, 3925, 540, 519, 2078, 630, 2431, 267, 2451, 994, 1038, 910, 3689, 19219, 281, 19930, 9517, 540, 519, 1101, 6843, 538, 519, 6935, 454, 1038, 910, 5822, 19219, 281, 16875, 9517, 540, 519, 2034, 6843, 538, 519, 2078, 454, 1038, 910, 20556, 7392, 281, 825, 9517, 540, 519, 2078, 1826, 454, 1038, 910, 3689, 2776, 341, 269, 4039, 269, 9517, 281, 476, 9517, 540, 519, 7173, 6935, 540, 519, 1101, 6843, 454, 1038, 910, 3689, 8921, 4039, 269, 9517, 281, 567, 9517, 540, 519, 1985, 6935, 540, 519, 1101, 6843, 454, 1038, 910, 5822, 2776, 341, 269, 4039, 269, 9517, 281, 9517, 540, 519, 7173, 6935, 540, 519, 2034, 6843, 454, 1038, 910, 5822, 8921, 4039, 269, 9517, 281, 476, 9517, 540, 519, 1985, 6935, 540, 519, 2034, 6843, 454, 1038, 910, 8921, 16296, 9517, 281, 672, 9517, 540, 519, 1101, 3959, 519, 2078, 814, 454, 825, 8173, 825, 1362, 667, 3925, 263, 5319, 636, 2187, 1038, 3768, 18249, 815, 476, 271, 454, 1038, 2451, 815, 476, 272, 454, 1038, 1318, 815, 476, 273, 692, 825, 1219, 6449, 8181, 9191, 1345, 267, 4994, 284, 271, 267, 538, 318, 2224, 18989, 267, 4287, 284, 291, 3925, 269, 1495, 18249, 2676, 4449, 1101, 17045, 16182, 284, 271, 267, 2034, 17045, 16182, 284, 271, 267, 882, 25292, 284, 271, 2676, 4449, 1101, 318, 2181, 341, 318, 7758, 16182, 284, 271, 267, 1101, 318, 10113, 318, 7758, 16182, 284, 271, 2676, 4449, 2034, 318, 2181, 341, 318, 7758, 16182, 284, 271, 267, 2034, 318, 10113, 318, 7758, 16182, 284, 271, 2676, 4449, 4412, 16182, 284, 271, 2187, 1038, 8173, 1038, 19461, 3278, 513, 2078, 609, 519, 2016, 2418, 692, 1038, 2433, 12407, 4994, 281, 12039, 540, 519, 2078, 547, 3355, 1125, 454, 1038, 2433, 6943, 4994, 281, 703, 454, 1038, 2433, 12407, 538, 318, 2224, 281, 476, 6787, 519, 6538, 568, 1210, 519, 2078, 454, 1038, 2433, 6943, 538, 318, 2224, 281, 536, 944, 454, 1038, 2433, 12407, 4287, 281, 667, 3925, 540, 519, 2078, 630, 2431, 267, 2451, 994, 1038, 2433, 6943, 4287, 281, 667, 3925, 454, 1038, 2433, 12407, 1101, 17045, 16182, 281, 9517, 540, 519, 1101, 6843, 538, 519, 6935, 454, 1038, 2433, 6943, 1101, 17045, 16182, 281, 703, 454, 1038, 2433, 12407, 2034, 17045, 16182, 281, 9517, 540, 519, 2034, 6843, 538, 519, 2078, 454, 1038, 2433, 6943, 2034, 17045, 16182, 281, 703, 454, 1038, 2433, 12407, 882, 25292, 281, 9517, 540, 519, 2078, 1826, 454, 1038, 2433, 6943, 882, 25292, 281, 703, 454, 1038, 2433, 12407, 1101, 318, 2181, 341, 318, 7758, 16182, 281, 9517, 540, 519, 7173, 6935, 540, 519, 1101, 6843, 454, 1038, 2433, 6943, 1101, 318, 2181, 341, 318, 7758, 16182, 281, 703, 454, 1038, 2433, 12407, 1101, 318, 10113, 318, 7758, 16182, 281, 9517, 540, 519, 1985, 6935, 540, 519, 1101, 6843, 454, 1038, 2433, 6943, 1101, 318, 10113, 318, 7758, 16182, 281, 703, 454, 1038, 2433, 12407, 2034, 318, 2181, 341, 318, 7758, 16182, 281, 9517, 540, 519, 7173, 6935, 540, 519, 2034, 6843, 454, 1038, 2433, 6943, 2034, 318, 2181, 341, 318, 7758, 16182, 281, 703, 454, 1038, 2433, 12407, 2034, 318, 10113, 318, 7758, 16182, 281, 9517, 540, 519, 1985, 6935, 540, 519, 2034, 6843, 454, 1038, 2433, 6943, 2034, 318, 10113, 318, 7758, 16182, 281, 703, 454, 1038, 2433, 12407, 4412, 16182, 281, 9517, 540, 519, 1101, 3959, 519, 2078, 814, 454, 1038, 2433, 6943, 4412, 16182, 281, 703, 454, 1038, 2433, 8873, 281, 20556, 3236, 609, 519, 9138, 2418, 454, 1038, 2433, 337, 6943, 281, 20556, 454, 1038, 8173, 1038, 1948, 12039, 540, 519, 2078, 568, 711, 6740, 538, 519, 20556, 1805, 648, 3758, 454, 1038, 1582, 28827, 815, 4994, 454, 1038, 1948, 18880, 6740, 538, 519, 20556, 1805, 648, 3758, 454, 1038, 1582, 23357, 8196, 815, 538, 318, 2224, 454, 1038, 1582, 6155, 3925, 815, 4287, 454, 1038, 1582, 8807, 1009, 11966, 27306, 815, 1101, 17045, 16182, 454, 1038, 1582, 269, 16149, 11966, 27306, 815, 2034, 17045, 16182, 454, 1038, 1582, 269, 7758, 13911, 815, 882, 25292, 454, 1038, 1582, 8807, 1009, 7093, 341, 9824, 27306, 815, 1101, 318, 2181, 341, 318, 7758, 16182, 454, 1038, 1582, 8807, 1009, 9202, 9824, 27306, 815, 1101, 318, 10113, 318, 7758, 16182, 454, 1038, 1582, 269, 16149, 7093, 341, 9824, 27306, 815, 2034, 318, 2181, 341, 318, 7758, 16182, 454, 1038, 1582, 269, 16149, 9202, 9824, 27306, 815, 2034, 318, 10113, 318, 7758, 16182, 454, 1038, 1582, 4877, 1886, 27306, 815, 4412, 16182, 692, 825, 1219, 6449, 18091, 9191, 1345, 267, 824, 2187, 1038, 8173, 1038, 3683, 2903, 519, 2652, 11346, 692, 1038, 2433, 12407, 824, 281, 4033, 2078, 454, 1038, 2433, 6943, 824, 281, 20556, 454, 1038, 2433, 8873, 281, 6936, 952, 6697, 267, 7301, 6382, 454, 1038, 2433, 337, 6943, 281, 536, 944, 454, 1038, 8173, 1038, 952, 568, 27349, 263, 1278, 267, 1582, 14857, 5035, 1029, 2187, 2018, 2132, 630, 1345, 28827, 2652, 824, 28827, 264, 543, 26444, 4449, 567, 630, 1345, 23357, 8196, 2652, 824, 23357, 8196, 264, 543, 26444, 4449, 567, 630, 1345, 6155, 3925, 2652, 824, 6155, 3925, 264, 543, 26444, 4449, 567, 630, 1345, 8807, 1009, 11966, 27306, 2652, 824, 8807, 1009, 11966, 27306, 264, 543, 26444, 4449, 567, 630, 1345, 269, 16149, 11966, 27306, 2652, 824, 269, 16149, 11966, 27306, 264, 543, 26444, 4449, 567, 630, 1345, 269, 7758, 13911, 2652, 824, 269, 7758, 13911, 264, 543, 26444, 4449, 567, 630, 1345, 8807, 1009, 7093, 341, 9824, 27306, 2652, 824, 8807, 1009, 7093, 341, 9824, 27306, 264, 543, 26444, 4449, 567, 630, 1345, 8807, 1009, 9202, 9824, 27306, 2652, 824, 8807, 1009, 9202, 9824, 27306, 264, 543, 26444, 4449, 567, 630, 1345, 269, 16149, 7093, 341, 9824, 27306, 2652, 824, 269, 16149, 7093, 341, 9824, 27306, 264, 543, 315, 454, 4449, 567, 630, 1345, 269, 16149, 9202, 9824, 27306, 2652, 824, 269, 16149, 9202, 9824, 27306, 264, 543, 26444, 4449, 567, 630, 1345, 4877, 1886, 27306, 2652, 824, 4877, 1886, 27306, 994, 1038, 3116, 912, 2018, 2132, 8771, 692, 825, 1219, 6449, 928, 9191, 1345, 267, 824, 2187, 1038, 8173, 1038, 3683, 2903, 519, 11203, 11346, 692, 1038, 2433, 12407, 824, 281 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

[ 0, 305, 895, 476, 272, 269, 279, 1677, 634, 3026, 11732, 19940, 7089, 269, 1677, 5180, 1055, 519, 8918, 1297, 476, 272, 269, 476, 279, 547, 519, 14282, 2898, 1297, 2073, 1246, 891, 3268, 281, 4855, 519, 7857, 693, 519, 2898, 1297, 1747, 267, 815, 476, 272, 538, 519, 476, 272, 269, 476, 279, 269, 4855, 519, 7857, 593, 519, 3169, 1318, 540, 519, 2898, 269, 2422, 713, 9498, 547, 5180, 513, 1297, 547, 519, 14282, 1535, 563, 305, 895, 17447, 547, 519, 14282, 2898, 1297, 1107, 13334, 454, 763, 3119, 4341, 3238, 538, 24263, 17447, 547, 519, 14282, 2898, 1297, 568, 1413, 693, 519, 20870, 338, 7857, 269, 1403, 621, 568, 1447, 982, 476, 276, 1287, 5180, 2016, 1297, 1524, 676, 9427, 519, 8918, 851, 540, 602, 269, 476, 276, 9343, 810, 267, 649, 1039, 476, 272, 547, 519, 2898, 2338, 1747, 630, 476, 272, 30155, 2690, 1383, 267, 476, 1240, 17031, 547, 519, 14282, 476, 1015, 568, 476, 736, 269, 1284, 946, 519, 5180, 3368, 909, 4341, 267, 799, 1797, 602, 1022, 13218, 616, 2141, 17031, 909, 11783, 1403, 1210, 30268, 1037, 532, 269, 547, 16838, 630, 1492, 9949, 264, 519, 1871, 568, 17031, 547, 519, 14282, 1256, 1297, 630, 272, 269, 476, 276, 568, 17031, 547, 476, 273, 267, 855, 476, 273, 269, 476, 276, 568, 849, 17031, 547, 476, 273, 1916, 305, 15929, 31353, 547, 519, 14282, 2898, 454, 6200, 9343, 604, 519, 20870, 7857, 630, 14140, 1297, 1354, 8918, 1448, 264, 540, 519, 1297, 568, 3152, 982, 610, 3160, 547, 476, 276, 649, 5180, 909, 543, 1039, 476, 272, 547, 3283, 540, 1297, 267, 952, 519, 20870, 7857, 540, 519, 1297, 568, 1447, 269, 1677, 5180, 519, 14282, 2898, 1297, 649, 723, 930, 3652, 269, 1403, 649, 1246, 1346, 3652, 1900, 676, 1900, 267, 596, 666, 5180, 519, 2898, 1297, 7157, 543, 3362, 563, 763, 7857, 630, 338, 264, 1310, 519, 630, 476, 272, 264, 616, 8719, 676, 269, 1548, 568, 476, 272, 269, 476, 279, 17031, 547, 519, 14282, 3283, 1205, 519, 4267, 596, 991, 267, 1631, 256, 700, 337, 9801, 5112, 278, 8618, 561, 337, 9801, 5112, 278, 8618, 476, 1556, 270, 5881, 270, 1001, 277, 6128, 1647, 1153, 12943, 1018, 568, 476, 272, 269, 476, 279, 269, 1411, 17031, 547, 519, 14282, 4627, 2195, 1747, 563, 1692, 1677, 18471, 1677, 634, 3026, 11732, 19940, 7089, 630, 5141, 657, 652, 6715, 518, 994, 2414, 5180, 547, 519, 14282, 2898, 596, 786, 991, 547, 2759, 519, 1297, 1055, 1310, 519, 4559, 6241, 267, 865, 2322, 513, 1899, 538, 1310, 519, 8918, 1448, 269, 1403, 519, 1297, 1310, 519, 1899, 630, 339, 5460, 338, 264, 568, 1447, 982, 476, 276, 5180, 519, 1297, 1524, 267, 543, 952, 519, 1297, 568, 476, 276, 610, 1657, 5180, 519, 1297, 269, 1924, 538, 1383, 476, 272, 596, 991, 547, 5180, 476, 10463, 269, 22550, 275, 547, 519, 14282, 2898, 1297, 269, 4595, 519, 1297, 538, 519, 20870, 338, 6241, 568, 1447, 982, 476, 276, 519, 1297, 568, 17031, 1524, 547, 476, 10463, 269, 769, 1383, 476, 273, 596, 786, 991, 547, 5180, 476, 28510, 269, 278, 2641, 5952, 547, 519, 14282, 2898, 269, 4595, 519, 1297, 538, 519, 20870, 338, 6241, 568, 476, 276, 610, 1657, 1287, 596, 5180, 519, 1297, 909, 547, 476, 28071, 563, 1607, 3381, 786, 13599, 707, 827, 681, 15929, 547, 519, 3026, 11732, 19940, 7089, 269, 681, 15929, 31353, 3381, 281, 596, 32353, 2593, 11320, 2255, 286, 341, 284, 345, 331, 299, 277, 292, 336, 274, 296, 327, 301, 304, 454, 293, 23341, 10341, 13174, 5426, 476, 272, 454, 305, 15929, 547, 519, 3026, 11732, 19940, 7089, 609, 31353, 454, 8702, 547, 681, 15929, 547, 519, 3026, 11732, 19940, 7089, 609, 31353, 609, 6004, 269, 808, 256, 10261, 948, 609, 875, 547, 5180, 17447, 547, 519, 14282, 2898, 1297, 286, 1411, 2811, 538, 519, 1318, 1747, 256, 6787, 596, 2811, 1175, 4358, 856, 267, 610, 991, 513, 2656, 18589, 615, 267, 713, 568, 519, 3381, 585, 596, 952, 596, 2811, 3168, 585, 24263, 17447, 547, 519, 14282, 2898, 1297, 948, 269, 6004, 269, 808, 786, 979, 998, 1806, 543, 2491, 519, 3268, 540, 24263, 17447, 547, 519, 14282, 2898, 1297, 269, 6168, 4569, 609, 6004, 269, 808, 281, 901, 8756, 3091, 14292, 7044, 16634, 18471, 476, 272, 269, 279, 1677, 634, 3026, 11732, 19940, 7089, 563, 305, 895, 476, 272, 269, 279, 1677, 634, 3026, 11732, 19940, 7089, 269, 634, 476, 273, 538, 519, 4627, 2195, 1747, 21448, 909, 547, 476, 274, 1317, 519, 7857, 547, 519, 1318, 538, 519, 8536, 2195, 1747, 568, 476, 279, 269, 1548, 568, 476, 1704, 269, 476, 277, 17031, 547, 519, 14282, 835, 286, 681, 15903, 547, 519, 14282, 2898, 1297, 267, 476, 1704, 269, 476, 277, 568, 5111, 3160, 547, 476, 1240, 269, 0, 289, 8344, 4162, 540, 519, 1093, 1231, 9116, 807, 8833, 540, 645, 28087, 807, 9184, 659, 328, 2637, 333, 611, 3780, 941, 11567, 593, 1093, 1231, 9116, 807, 676, 8047, 6901, 693, 2947, 5210, 630, 9792, 281, 476, 1626, 9180, 268, 2764, 9180, 1040, 769, 1840, 267, 519, 1198, 540, 556, 2130, 645, 269, 9184, 659, 328, 593, 519, 1079, 2030, 2249, 267, 12832, 582, 10005, 9184, 659, 636, 630, 339, 984, 8829, 264, 630, 22069, 534, 19687, 264, 543, 661, 25045, 12643, 807, 5102, 7815, 3234, 320, 630, 292, 25045, 12643, 807, 576, 2801, 264, 630, 17763, 1231, 9116, 807, 264, 729, 11567, 269, 634, 2837, 1673, 2570, 4293, 941, 3964, 585, 519, 11095, 942, 585, 5798, 543, 4212, 3562, 14194, 738, 5123, 267, 11174, 9019, 267, 2937, 4775, 1272, 1606, 3966, 267, 840, 268, 990, 760, 3789, 1974, 267, 2085, 10391, 905, 322, 1495, 640, 267, 543, 3023, 268, 7806, 1470, 269, 634, 2539, 2837, 29676, 585, 4212, 23923, 618, 267, 1646, 689, 4212, 547, 2937, 543, 585, 9065, 760, 3789, 531, 4079, 941, 6059, 607, 1134, 607, 519, 2539, 2837, 12939, 585, 9065, 760, 3789, 269, 634, 29676, 941, 476, 1321, 9180, 267, 476, 1691, 9180, 267, 476, 279, 9180, 543, 476, 1691, 9180, 267, 6606, 269, 17378, 23923, 618, 2838, 476, 14695, 1554, 1673, 1122, 4181, 543, 519, 3003, 1646, 883, 4079, 476, 27628, 1554, 1673, 1122, 4181, 269, 18200, 1275, 729, 5207, 693, 476, 1626, 9180, 267, 1373, 476, 866, 269, 274, 260, 538, 519, 4212, 22533, 543, 476, 4817, 260, 689, 4212, 547, 2937, 269, 634, 840, 268, 990, 760, 3789, 1974, 543, 519, 2937, 1272, 1606, 3966, 941, 476, 2412, 543, 476, 11740, 1554, 1673, 1122, 4181, 269, 634, 2085, 10391, 905, 322, 1495, 640, 540, 645, 269, 9184, 659, 328, 729, 4330, 676, 513, 2837, 17466, 2203, 269, 634, 5021, 3232, 905, 322, 1495, 640, 2557, 729, 25189, 1310, 476, 2568, 543, 476, 10219, 1554, 1673, 1122, 4181, 585, 645, 269, 9184, 659, 328, 556, 1563, 593, 10269, 543, 1093, 1231, 9116, 807, 267, 6606, 269, 634, 905, 322, 1495, 640, 729, 5207, 585, 645, 269, 9184, 659, 328, 556, 1563, 593, 1093, 1231, 9116, 807, 269, 634, 3023, 268, 7806, 1470, 729, 538, 12797, 540, 8951, 693, 543, 1657, 476, 866, 9180, 543, 2799, 609, 2837, 269, 6480, 23660, 540, 519, 2121, 10285, 2557, 267, 519, 17271, 2557, 540, 2333, 267, 519, 13113, 2557, 540, 2333, 267, 519, 1611, 5108, 942, 543, 519, 30945, 942, 941, 5833, 269, 589, 2318, 5276, 2078, 729, 1336, 1063, 678, 544, 543, 2837, 267, 519, 2418, 8151, 689, 476, 271, 269, 9826, 273, 693, 476, 1626, 9180, 547, 476, 271, 269, 14695, 274, 693, 476, 2764, 9180, 563, 5522, 1218, 1102, 6479, 609, 513, 2582, 24549, 648, 2249, 666, 4482, 2067, 14763, 998, 519, 12998, 540, 24549, 648, 8114, 1027, 2030, 2019, 520, 3796, 630, 295, 7709, 26394, 1040, 1717, 267, 896, 2067, 2175, 2371, 616, 1419, 16091, 676, 811, 982, 835, 24549, 648, 2249, 269, 1284, 11567, 519, 10153, 16371, 3210, 540, 513, 2489, 626, 11975, 5839, 1503, 2684, 639, 1608, 580, 16394, 639, 547, 14723, 1102, 6479, 609, 1079, 1606, 13607, 1540, 17178, 21746, 267, 31679, 337, 1415, 577, 639, 2712, 6776, 2801, 267, 610, 3039, 890, 778, 21428, 573, 267, 3733, 345, 639, 1086, 545, 2801, 267, 5288, 269, 2371, 1102, 6479, 609, 1312, 24549, 648, 2249, 538, 513, 962, 2389, 4209, 10153, 2399, 10309, 1305, 909, 269, 769, 1840, 267, 519, 23466, 540, 19979, 24025, 689, 2371, 6534, 547, 2789, 610, 2582, 24549, 800, 941, 4857, 676, 3154, 24885, 2762, 2173, 817, 26563, 4479, 630, 24774, 5336, 306, 1040, 634, 8272, 573, 12961, 4951, 513, 6793, 3210, 547, 2019, 520, 3796, 19501, 689, 2371, 8195, 1102, 6479, 609, 17178, 21746, 543, 30293, 982, 547, 1346, 19501, 689, 2371, 1102, 6479, 676, 1175, 835, 24549, 648, 267, 28000, 540, 519, 2249, 269, 10395, 1441, 609, 2164, 689, 3105, 2090, 896, 2147, 2175, 649, 18505, 602, 713, 729, 513, 5114, 547, 24549, 648, 13251, 2030, 2019, 520, 3796, 269, 634, 717, 290, 5336, 306, 2079, 4951, 602, 2582, 24549, 800, 13251, 519, 5305, 540, 476, 2420, 3606, 7135, 607, 3379, 609, 519, 2019, 520, 3796, 19501, 689, 2973, 2371, 269, 26592, 9382, 7000, 602, 519, 2179, 540, 19979, 24025, 19501, 689, 14723, 1102, 6479, 676, 1312, 24549, 2803, 729, 3648, 2362, 982, 602, 689, 14723, 1102, 6479, 676, 513, 2582, 24549, 648, 269, 5047, 267, 1079, 2189, 6878, 941, 17895, 8271, 4857, 630, 5976, 513, 5506, 540, 476, 11463, 260, 543, 476, 11011, 9077, 6606, 264, 538, 2019, 520, 3796, 19501, 676, 2789, 24549, 800, 8697, 2371, 281, 513, 268, 4506, 756, 699, 928, 543, 546, 1712, 1097, 331, 21449, 622, 563, 3849, 738, 15325, 267, 11095, 942, 543, 11174, 9019, 540, 7402, 1513, 807, 1106, 6242, 717, 25301, 630, 295, 2096, 523, 30601, 281, 7442, 3559, 514, 13160, 264, 8934, 527, 1944, 519, 7313, 1231, 9116, 807, 13001, 560, 1778, 540, 645, 28087, 807, 9184, 659, 328, 630, 294, 3317, 611, 3780, 264, 630, 295, 558, 30601, 281, 589, 2917, 16967, 13160, 264, 593, 7313, 1231, 9116, 807, 630, 292, 25045, 12643, 807, 5102, 7815, 3234, 320, 4024, 323, 4700, 941, 11567, 538, 8047, 6901, 693, 1614, 5210, 281, 476, 1626, 11019, 290, 267, 476, 2420, 11019, 290, 543, 476, 2764, 11019, 290, 269, 5015, 267, 519, 8934, 527, 1355, 781, 13283, 585, 1114, 12586, 1998, 5933, 540, 519, 3043, 12187, 729, 5462, 693, 476, 2190, 269, 276, 11019, 290, 269, 634, 14438, 540, 661, 269, 1106, 6242, 8519, 609, 2837, 689, 835, 3923, 693, 476, 1626, 11019, 290, 547, 8370, 2395, 693, 476, 2764, 11019, 290, 269, 589, 2539, 2837, 12939, 540, 476, 1556, 11019, 290, 585, 2937, 1646, 729, 1336, 269, 634, 1646, 540, 11174, 8934, 527, 6950, 538, 645, 269, 9184, 659, 328, 16768, 811, 982, 1079, 3275, 693, 519, 9803, 2837, 267, 855, 729, 1152, 476, 1691, 2395, 950, 2837, 729, 476, 2764, 11019, 290, 269, 634, 2539, 2837, 12939, 585, 1799, 1155, 1646, 729, 476, 1724, 269, 274, 11019, 290, 267, 27548, 606, 3328, 540, 476, 21709, 1554, 13001, 19592, 4181, 585, 519, 12032, 540, 1646, 883, 4079, 269, 19565, 9019, 729, 1164, 267, 8795, 689, 827, 476, 2004, 260, 693, 476, 1626, 11019, 290, 547, 827, 476, 1789, 260, 693, 476, 2420, 11019, 290, 543, 476, 2764, 11019, 290, 269, 661, 269, 1106, 6242, 9053, 547, 9065, 760, 21627, 538, 519, 476, 275, 628, 1128, 541, 543, 3341, 1575, 531, 5933, 540, 645, 269, 9184, 659, 328, 4553, 676, 519, 476, 273, 526, 543, 476, 274, 6113, 1128, 1513, 269, 634, 13283, 585, 519, 7782, 531, 3942, 729, 1970, 269, 634, 8934, 527, 1355, 1031, 782, 1128, 1513, 540, 519, 3043, 12187, 585, 3984, 16567, 267, 609, 1100, 7805, 3604, 1063, 519, 5933, 269, 634, 3328, 8653, 540, 519, 9065, 760, 3789, 14302, 729, 2185, 3764, 269, 5915, 4919, 6724, 941, 7229, 689, 1272, 7515, 9112, 689, 519, 1239, 269, 634, 17271, 2557, 540, 2333, 630, 3944, 264, 543, 519, 2121, 10285, 2557, 630, 305, 271, 264, 2799, 609, 2837, 689, 476, 271, 269, 271, 2767, 280, 1554, 6629, 272, 693, 476, 1626, 11019, 290, 547, 476, 271, 269, 24487, 279, 1554, 6629, 272, 693, 476, 2764, 11019, 290, 543, 689, 827, 476, 1321, 693, 476, 1626, 11019, 290, 547, 827, 476, 5780, 693, 476, 2764, 11019, 290, 267, 6606, 563, 763, 1272, 3349, 4162, 540, 519, 4874, 874, 698, 748, 8272, 573, 5839, 1503, 2684 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

[ 615, 28357, 4031, 269, 17957, 267, 824, 6082, 899, 4516, 543, 5125, 723, 20888, 3677, 2338, 540, 26219, 15076, 998, 4357, 13384, 11208, 3292, 543, 19268, 25557, 7341, 780, 4089, 476, 276, 281, 15783, 10298, 454, 11754, 7675, 519, 26219, 21345, 6433, 3340, 1279, 3856, 7029, 543, 1617, 10561, 5698, 269, 25792, 3435, 4125, 14304, 3486, 23372, 547, 3035, 513, 4264, 24044, 13933, 282, 2810, 7616, 585, 19493, 5351, 3906, 3246, 2565, 1489, 547, 15076, 282, 10115, 538, 3872, 3255, 585, 1453, 4299, 676, 7142, 12761, 282, 5807, 2804, 1646, 538, 3984, 2950, 547, 2569, 6735, 585, 2200, 282, 543, 3384, 4244, 11444, 585, 3656, 9194, 269, 1635, 7598, 891, 2994, 267, 519, 2518, 2146, 666, 960, 1927, 547, 11574, 519, 7092, 3361, 676, 713, 5571, 31685, 780, 6962, 912, 8139, 519, 26219, 21345, 6433, 3322, 6313, 922, 3140, 5072, 267, 7421, 2797, 6384, 267, 6236, 14227, 5222, 267, 543, 10442, 6069, 3435, 269, 3414, 2502, 609, 713, 1950, 3390, 267, 1053, 786, 11349, 6568, 543, 8296, 585, 1346, 4171, 2729, 723, 1044, 909, 2105, 676, 5208, 543, 20655, 269, 5047, 267, 789, 786, 1451, 875, 7104, 2962, 543, 5483, 3375, 6194, 666, 3565, 547, 2679, 513, 811, 12581, 1158, 1141, 1169, 1268, 814, 519, 4316, 547, 8853, 269, 0, 2080, 568, 606, 1349, 689, 513, 2546, 912, 257, 291, 877, 14472, 531, 785, 9370, 6577, 454, 10112, 1539, 622, 29533, 267, 4000, 19510, 693, 932, 987, 600, 5600, 630, 763, 9576, 4659, 540, 4139, 16457, 1040, 2701, 729, 9167, 7981, 11724, 894, 585, 20528, 689, 5181, 476, 1001, 271, 2394, 5239, 476, 1001, 274, 563, 763, 20404, 945, 616, 1981, 532, 741, 2729, 538, 1931, 547, 1205, 547, 2342, 2097, 689, 16850, 267, 594, 21531, 267, 15787, 855, 849, 519, 24125, 540, 4000, 269, 9167, 814, 9250, 267, 538, 476, 1001, 275, 267, 968, 1492, 10609, 691, 537, 332, 1184, 5608, 513, 1788, 799, 2832, 568, 547, 4339, 1996, 10363, 9194, 689, 713, 3148, 269, 634, 9167, 1935, 547, 9316, 609, 513, 12512, 267, 799, 568, 2938, 267, 676, 1082, 6608, 267, 607, 3743, 585, 10363, 9194, 543, 1480, 19338, 267, 814, 2016, 4473, 547, 513, 18512, 7521, 563, 763, 9167, 568, 6849, 606, 13778, 27614, 540, 15076, 543, 20404, 689, 4000, 543, 519, 5664, 5101, 267, 609, 7366, 540, 5215, 21945, 593, 2342, 779, 24528, 267, 1981, 532, 741, 2729, 547, 9101, 689, 10795, 4655, 267, 20655, 543, 6710, 538, 3406, 540, 513, 1732, 2104, 269, 5221, 540, 519, 22406, 9588, 540, 519, 26219, 21345, 6433, 267, 5375, 2923, 3795, 538, 2487, 1395, 339, 3010, 2237, 606, 3573, 543, 2143, 1576, 1770, 538, 513, 1837, 585, 2852, 1053, 1644, 547, 519, 1349, 1657, 267, 2519, 593, 834, 306, 344, 6929, 25083, 324, 19822, 257, 607, 851, 540, 834, 28765, 22723, 13493, 1315, 23089, 1315, 5664, 5101, 2668, 1684, 711, 1175, 1592, 2035, 267, 855, 1020, 1142, 835, 538, 1469, 1354, 3001, 547, 519, 1985, 267, 607, 649, 4225, 3178, 540, 1620, 543, 3102, 3408, 540, 519, 1641, 2339, 936, 4560, 780, 2521, 547, 1384, 268, 3550, 538, 3829, 3795, 540, 519, 2035, 563, 268, 2422, 513, 2239, 267, 2219, 4538, 2511, 563, 268, 4045, 519, 1888, 609, 1699, 3466, 267, 1483, 3734, 1806, 267, 610, 2487, 2090, 563, 2710, 711, 1331, 513, 2140, 267, 2606, 2453, 267, 610, 2592, 269, 3503, 519, 1543, 2047, 269, 0, 3848, 476, 1015, 281, 1133, 16225, 532, 10515, 6776, 3203, 910, 634, 18903, 19992, 9147, 7734, 692, 5970, 596, 2479, 4371, 606, 2025, 1433, 538, 707, 3946, 543, 14952, 539, 693, 922, 4070, 286, 1215, 1281, 621, 4383, 547, 1832, 782, 922, 3817, 16856, 267, 1175, 7996, 547, 2671, 2984, 689, 5553, 3516, 286, 4270, 267, 1250, 8284, 1686, 12439, 267, 5965, 547, 4685, 883, 519, 4241, 7706, 540, 10515, 6776, 3203, 543, 12260, 519, 11580, 3297, 3504, 1433, 14708, 2439, 6524, 11362, 883, 10515, 6776, 3203, 4481, 267, 1577, 781, 1101, 2263, 875, 3425, 5912, 539, 689, 524, 13246, 727, 20801, 338, 547, 811, 10375, 2835, 269, 2480, 2651, 338, 941, 1500, 540, 1279, 9212, 267, 2901, 18705, 689, 13099, 344, 6350, 610, 533, 1105, 618, 267, 799, 1131, 1287, 581, 18202, 909, 1107, 3833, 3579, 8197, 256, 1717, 267, 4466, 513, 1880, 4062, 540, 1344, 1369, 971, 513, 20801, 1223, 6961, 4101, 543, 942, 21791, 269, 1677, 14458, 1919, 267, 1004, 11827, 1018, 2968, 1634, 607, 519, 1412, 322, 617, 1410, 9538, 16514, 1945, 2147, 547, 2221, 781, 21641, 282, 5094, 3762, 3808, 2059, 835, 6316, 267, 2870, 513, 11741, 543, 3593, 7888, 3898, 269, 901, 19782, 1190, 8798, 21490, 519, 1259, 585, 1713, 7760, 538, 3332, 11091, 543, 10333, 780, 3086, 267, 1577, 721, 3460, 1394, 538, 942, 1472, 519, 2034, 2540, 9460, 267, 1141, 5527, 11542, 607, 519, 2295, 1633, 540, 2038, 8567, 269, 4438, 713, 5736, 267, 2199, 5159, 2919, 741, 2189, 2511, 267, 1572, 10515, 6776, 3203, 267, 6353, 676, 6946, 3270, 267, 7524, 4778, 267, 543, 4154, 6978, 30996, 880, 906, 269, 1452, 7499, 2609, 1336, 741, 3501, 17198, 538, 10723, 5931, 267, 7393, 5289, 2833, 998, 3308, 9423, 269, 7324, 1585, 13144, 11911, 547, 10515, 6776, 3203, 267, 835, 31438, 3226, 6505, 281, 519, 2504, 540, 12622, 902, 585, 3909, 22251, 780, 5331, 3054, 1373, 513, 1085, 11171, 610, 606, 7376, 1282, 1346, 2053, 269, 1411, 616, 2016, 513, 4305, 547, 1711, 513, 9434, 15266, 547, 5132, 1210, 3662, 2960, 267, 32028, 8142, 267, 11308, 12545, 267, 543, 2067, 23416, 269, 1548, 1131, 596, 1374, 286, 14190, 803, 547, 3802, 596, 998, 1142, 5057, 540, 891, 15999, 13144, 780, 5575, 267, 9952, 4600, 5423, 3662, 32675, 676, 7738, 267, 16150, 532, 267, 543, 5969, 873, 1524, 547, 2450, 269, 4495, 5701, 267, 789, 9927, 883, 1139, 548, 533, 1105, 618, 267, 4712, 547, 4309, 1913, 540, 7326, 543, 20174, 269, 3973, 3357, 519, 4074, 1190, 1184, 540, 25718, 13411, 20072, 5196, 1367, 3817, 23939, 269, 4793, 1466, 729, 1883, 1934, 2094, 1022, 12161, 5921, 4358, 936, 2439, 5629, 23652, 267, 891, 10475, 3817, 2877, 4027, 543, 3919, 269, 4935, 267, 11308, 6227, 941, 20077, 267, 1419, 24224, 609, 12166, 18305, 6273, 676, 2470, 610, 7493, 2035, 269, 6931, 523, 16060, 6039, 607, 519, 2178, 22449, 8066, 3388, 1927, 269, 4635, 513, 4480, 1572, 5832, 19173, 267, 519, 19771, 540, 25649, 3817, 941, 5532, 547, 1106, 513, 4396, 12636, 269, 7053, 267, 519, 3498, 540, 10477, 16560, 2609, 3826, 1117, 1272, 883, 891, 25704, 267, 1818, 873, 3020, 16782, 4502, 8497, 780, 7437, 4974, 10515, 6776, 3203, 267, 649, 2744, 3407, 4030, 883, 3140, 2553, 1031, 547, 8190, 1480, 1702, 1247, 8098, 3931, 4190, 1568, 540, 26274, 269, 1635, 1565, 827, 1114, 2326, 543, 3157, 3238, 538, 14335, 3504, 2835, 267, 649, 666, 5660, 519, 4674, 16539, 538, 17420, 2686, 6561, 585, 2104, 5481, 269, 1924, 1985, 942, 596, 3180, 513, 1433, 267, 3314, 519, 6909, 3460, 621, 814, 1044, 593, 1107, 689, 18803, 20297, 607, 20801, 338, 547, 4742, 10427, 9479, 3808, 676, 519, 2648, 543, 5578, 540, 9118, 2043, 2429, 1686, 269, 0, 2080, 568, 606, 1349, 689, 513, 2546, 912, 257, 30706, 13603, 909, 513, 1433, 543, 2219, 267, 968, 20756, 267, 875, 798, 782, 891, 3817, 3251, 1927, 1510, 9991, 6306, 9495, 898, 779, 899, 972, 779, 930, 5728, 9059, 8345, 3330, 256, 1656, 538, 938, 1158, 540, 2220, 31441, 13819, 543, 3059, 14509, 267, 713, 1522, 3100, 899, 513, 6263, 1469, 269, 1809, 267, 19315, 7911, 267, 950, 602, 835, 2629, 2985, 689, 707, 979, 3562, 3434, 1504, 610, 602, 2915, 3887, 1563, 3209, 6238, 547, 530, 984, 1076, 286, 7754, 545, 7154, 256, 667, 633, 609, 803, 883, 519, 1158, 540, 1433, 321, 4193, 267, 543, 1577, 779, 19586, 713, 9814, 1927, 563, 9349, 321, 4193, 286, 898, 779, 513, 3575, 540, 1148, 543, 2257, 269, 9664, 1205, 694, 1233, 267, 1350, 4240, 267, 610, 1256, 25411, 9482, 267, 1287, 2879, 1872, 569, 20386, 909, 538, 513, 19756, 3382, 269, 966, 11798, 14504, 256, 2659, 1433, 779, 4712, 585, 930, 3978, 2542, 563, 11771, 1231, 540, 3883, 321, 4193, 454, 30706, 9289, 875, 649, 6410, 689, 1346, 1279, 267, 16602, 20801, 338, 547, 13561, 2835, 286, 2913, 779, 2520, 2131, 856, 513, 3787, 593, 713, 2336, 3383, 267, 20801, 338, 941, 519, 744, 19199, 269, 6056, 1279, 9212, 630, 18478, 540, 13099, 344, 6350, 610, 533, 1105, 618, 264, 18202, 909, 269, 8111, 3579, 267, 855, 4952, 3843, 547, 1265, 513, 1808, 1899, 538, 602, 256, 589, 3787, 540, 513, 31484, 548, 267, 1318, 286, 9373, 519, 13798, 1410, 256, 898, 779, 899, 519, 12498, 4528, 540, 938, 2413, 1433, 269, 8525, 3010, 2237, 606, 2502, 543, 3015, 1576, 1770, 538, 513, 1837, 585, 1647, 1153, 1053, 1644, 547, 519, 1349, 1657, 267, 2519, 593, 834, 290, 641, 6776, 3203, 257, 607, 851, 540, 834, 11286, 1315, 3778, 1315, 9147, 1299, 18190, 2668, 634, 1543, 1058, 581, 3358, 585, 1647, 1153, 1053, 1510, 1991, 1702, 540, 519, 1888, 780, 2521, 547, 1384, 268, 3629, 2143, 3137, 267, 2057, 2930, 3822, 267, 543, 1459, 519, 2093, 538, 513, 3551, 267, 2239, 3159, 563, 268, 3417, 1806, 547, 1118, 519, 1641, 3839, 543, 3078, 585, 1762, 1647, 1153, 1053, 563, 268, 3680, 4304, 519, 1357, 1349, 538, 519, 1837, 269, 1684, 711, 1331, 513, 2140, 610, 2606, 2453, 269, 3399, 1603, 519, 1543, 2047, 269, 0, 3848, 476, 272, 281, 4985, 547, 17389, 1325, 613, 30944, 543, 17389, 20492, 692, 1103, 519, 5318, 5251, 540, 2413, 6128, 267, 1079, 954, 22366, 21437, 910, 17389, 620, 613, 30944, 543, 17389, 2516, 910, 723, 7153, 607, 11358, 22225, 30343, 938, 1620, 540, 6024, 1623, 5471, 1845, 269, 1452, 9988, 1265, 7096, 3156, 2066, 1585, 10459, 267, 1519, 6323, 630, 3602, 789, 4766, 5726, 4031, 1070, 4702, 630, 514, 1852, 1949, 543, 17562, 1070, 543, 2780, 2257, 630, 1721, 25563, 1040, 634, 6662, 540, 713, 3184, 568, 547, 2482, 519, 24536, 585, 3695, 519, 1623, 25027, 2078, 1063, 891, 1079, 3532, 7493, 687, 780, 272, 269, 272, 21070, 28805, 543, 1325, 613, 30944, 692, 2171, 2253, 676, 11291, 532, 930, 2596, 8847, 17640, 547, 6152, 5624, 543, 620, 613, 30944, 269, 9717, 513, 2361, 674, 630, 25669, 267, 519, 1483, 2338, 681, 610, 1950, 2338, 595, 1070, 513, 6152, 2230, 966, 936, 674, 5161, 540, 513, 1305, 540, 10321, 6806, 896, 1840, 543, 22185, 8691, 4238, 17598, 1978, 24936, 1682, 602, 2327, 2497, 543, 11007, 269, 1323, 7223, 589, 936, 674, 11160, 906, 713, 5943, 676, 6220, 513, 21536, 710, 541, 1587, 267, 1775, 4318, 1421, 513, 4786, 2433, 589, 6398, 589, 9890, 589, 971, 602, 1384, 9217, 264, 4889, 18356, 281, 630, 320, 2608, 536, 264, 2608, 524, 815, 513, 2608, 630, 321, 2608, 524, 1070, 3980, 478, 513, 267, 536, 267, 524, 17995, 589, 3248, 23870, 264, 20518, 583, 2032, 530, 25331, 6745, 269, 6152, 1840, 281, 513, 2608, 630, 321, 1341, 524, 264, 815, 513, 2608, 536, 1341, 513, 2608, 524, 267, 630, 320, 1341, 536, 264, 2608, 524, 815, 513, 2608, 524, 1341, 536, 2608, 524, 267, 3980, 478, 513, 267, 536, 267, 524, 17995, 589, 3248, 31702, 264, 3281, 520, 2225, 609, 9470, 1513, 281, 678, 2608, 263, 320, 2608, 536, 264, 815, 630, 337, 2608, 513, 264, 2608, 536, 815, 513, 2608, 630, 337, 2608, 536, 1070, 3980, 478, 678, 17995, 674, 267, 513, 267, 536, 17995, 589, 780, 13010, 267, 950, 9280, 609, 606, 3606, 3959, 1634, 607, 862, 583, 18356, 630, 320, 2608, 536, 815, 536, 2608, 513, 267, 3980, 478, 513, 267, 536, 17995, 589, 1070, 519, 7223, 3587, 1997, 894, 269, 1717, 267, 21177, 713, 10421, 5012, 721, 1524, 513, 4241, 2619, 2509, 1875, 12431, 1539, 894, 620, 613, 30944, 267, 1141, 1761, 22114, 899, 1884, 545, 2174, 583, 18356, 630, 320, 2608, 536, 815, 910, 321, 2608, 513, 267, 3980, 478, 513, 267, 536, 17995, 589, 264, 8451, 267, 4259, 519, 3942, 585, 2417, 29293, 780, 272, 269, 273, 28038, 17389, 1325, 613, 30944, 692, 301, 3139, 1310, 20153, 639, 17389, 267, 945, 10660, 1229, 741, 1353, 538, 519, 3735, 13524, 2540, 267, 17389, 620, 613, 30944, 2099, 31208, 2572, 2711, 14759, 1369, 513, 2016, 17389, 1895, 630, 6518, 4927, 581, 5189, 16172, 1040, 4813, 958, 3989, 267, 513, 17389, 7223, 575, 936, 674, 568, 606, 7223, 1439, 15735, 609, 513 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

[ 568, 5631, 7768, 540, 513, 3984, 267, 606, 10763, 3684, 267, 513, 10178, 267, 513, 8737, 28237, 7814, 821, 21689, 267, 513, 5386, 335, 32535, 7814, 821, 21689, 543, 2011, 28954, 269, 2986, 873, 267, 519, 3984, 568, 1500, 909, 540, 513, 7406, 267, 606, 29504, 2019, 1393, 267, 513, 15524, 767, 16405, 267, 1547, 16753, 811, 454, 22998, 6240, 543, 3498, 2039, 540, 11425, 1984, 318, 576, 618, 4429, 305, 617, 1984, 568, 513, 2186, 540, 1984, 4171, 8860, 1560, 568, 5374, 11493, 540, 21432, 9274, 543, 16496, 4027, 540, 5386, 9274, 267, 666, 581, 1031, 607, 513, 1101, 1362, 1930, 15132, 3726, 8860, 267, 4922, 1031, 538, 5841, 5070, 267, 3492, 15249, 267, 3114, 2030, 267, 3167, 1379, 543, 824, 13623, 540, 519, 1101, 1362, 8860, 267, 1587, 9325, 2450, 616, 1614, 5686, 540, 2489, 11425, 1984, 3267, 16753, 811, 454, 30761, 7085, 11809, 784, 329, 26820, 14086, 7557, 10320, 454, 763, 11554, 20232, 540, 11831, 7085, 281, 901, 3684, 568, 513, 22403, 4806, 3440, 1984, 609, 8880, 20425, 7432, 10591, 267, 9141, 676, 9018, 10591, 543, 1079, 5577, 11825, 269, 634, 1570, 4422, 547, 519, 1101, 5577, 704, 1310, 519, 3303, 2718, 676, 519, 844, 650, 14788, 689, 519, 8023, 3937, 269, 16753, 811, 454, 275, 270, 1691, 270, 1220, 280, 6440, 11831, 1984, 267, 4252, 17819, 3684, 267, 4252, 8860, 12227, 11831, 1984, 630, 323, 787, 610, 6632, 1184, 264, 13335, 281, 11831, 1984, 568, 519, 1883, 3937, 585, 8860, 1310, 519, 11493, 1184, 267, 799, 568, 4922, 1031, 538, 519, 5478, 6080, 267, 971, 607, 9160, 267, 3623, 6510, 267, 1007, 2679, 1570, 267, 18195, 800, 1570, 267, 13226, 267, 7542, 9317, 4496, 267, 1875, 2536, 9317, 4496, 543, 4837, 23907, 543, 666, 581, 1031, 585, 519, 3819, 543, 6632, 3267, 16753, 811, 454, 1440, 4532, 2118, 543, 2324, 540, 3440, 1984, 538, 575, 327, 3570, 454, 23895, 618, 1984, 2324, 6240, 1547, 11831, 7085, 22391, 18704, 8734, 476, 1789, 476, 1001, 276, 289, 17920, 631, 21135, 476, 274, 570, 21764, 5508, 28132, 7728, 21850, 29767, 667, 9128, 2562, 296, 3582, 32577, 2975, 11553, 2562, 5746, 303, 4041, 12164, 22552, 10813, 3582, 20796, 32578, 5084, 309, 19611, 8980, 2464, 6730, 20591, 4696, 309, 19611, 8980, 2464, 6673, 12195, 2975, 25972, 661, 12702, 25972, 476, 275, 645, 17920, 631, 21135, 21850, 29767, 898, 568, 3608, 1907, 585, 8860, 1082, 2326, 883, 5386, 8869, 1703, 616, 1079, 2010, 540, 8860, 519, 3819, 1547, 16753, 811, 454, 22998, 20232, 2986, 30623, 541, 7085, 1923, 19783, 24759, 267, 595, 821, 4429, 15507, 2324, 8034, 794, 540, 17200, 1984, 8302, 547, 1265, 707, 991, 269, 1547, 2324, 6240, 540, 6151, 1984, 538, 9160, 2030, 5147, 476, 1015, 267, 476, 1001, 273, 267, 22227, 5510, 786, 1984, 2324, 6240, 1107, 595, 14875, 5599, 3498, 1548, 1772, 11831, 7085, 1656, 4706, 11554, 20232, 286, 1547, 16753, 811, 454, 30761, 7085, 19783, 454, 30761, 7085, 269, 7392, 2433, 14086, 8869, 2504, 18452, 12025, 2433, 476, 1708, 276, 7825, 6713, 539, 10049, 2433, 11635, 7626, 10241, 2433, 24533, 267, 5755, 267, 1379, 2030, 964, 5285, 584, 1436, 267, 12669, 21395, 267, 6149, 2872, 267, 1875, 5471, 28351, 7777, 267, 4070, 1570, 267, 23907, 269, 11137, 21188, 17972, 21188, 11554, 20232, 21188, 10410, 5874, 21188, 634, 3440, 1984, 568, 513, 1883, 3937, 547, 20836, 519, 16760, 2326, 267, 543, 519, 3440, 1984, 568, 4922, 3267, 16753, 811, 454, 22998, 20232, 2986, 26432, 9995, 7085, 454, 11529, 6240, 540, 7299, 5070, 1984, 269, 6240, 540, 20425, 8860, 15599, 2089, 1149, 1547, 6240, 540, 20425, 8860, 15599, 2089, 1149, 269, 887, 806, 543, 3937, 538, 9160, 2872, 1018, 568, 519, 1034, 7199, 7299, 1984, 5599, 8302, 3937, 1547, 3267, 5070, 3440, 1984, 2324, 6240, 7824, 13334, 476, 1015, 3967, 476, 1001, 275, 5070, 3440, 1984, 2324, 6240, 7824, 3267, 16753, 811, 454, 30761, 7085, 11879, 17726, 25115, 14409, 5450, 718, 21395, 454, 288, 11831, 7085, 11879, 17726, 630, 716, 1302, 3440, 267, 11425, 267, 17985, 610, 590, 8980, 264, 568, 519, 3432, 693, 799, 519, 25916, 531, 4229, 3160, 14965, 4229, 693, 519, 1984, 7387, 5257, 338, 3330, 2627, 543, 1100, 11084, 786, 2887, 689, 922, 2990, 5196, 519, 7387, 269, 634, 11052, 2630, 2337, 2491, 1018, 4422, 593, 3330, 513, 1984, 607, 3432, 9775, 269, 2422, 938, 2228, 4542, 634, 1984, 3432, 568, 3335, 3989, 607, 519, 2600, 540, 519, 11933, 3749, 3267, 16753, 811, 454, 22998, 20232, 540, 1230, 14846, 11831, 7085, 14086, 4429, 272, 269, 1879, 519, 3440, 1984, 13333, 693, 3339, 3432, 267, 3440, 1984, 1560, 786, 1847, 9764, 569, 2687, 547, 922, 4087, 3330, 519, 1984, 8546, 269, 476, 273, 269, 1703, 616, 1079, 5686, 540, 3350, 10092, 538, 1984, 8546, 585, 3440, 1984, 281, 835, 568, 519, 3440, 1984, 7575, 16057, 2059, 609, 519, 22902, 2687, 547, 519, 3950, 540, 3492, 878, 9095, 338, 269, 16753, 811, 454, 30761, 1984, 267, 299, 830, 3440, 1984, 267, 13051, 1030, 545, 2747, 3440, 1984, 267, 576, 618, 4429, 307, 784, 329, 807, 11633, 16811, 6212, 593, 3440, 1984, 8860, 2872, 267, 9160, 2679, 2326, 267, 12669, 17790, 26005, 267, 27414, 29137, 3937, 7299, 8860, 5663, 267, 5122, 12957, 267, 1788, 1374, 543, 4070, 267, 3092, 269, 15733, 543, 2533, 3382, 811, 982, 476, 2568, 2477, 543, 4525, 267, 3246, 5561, 609, 7471, 267, 782, 1037, 267, 3318, 1788, 3435, 269, 16753, 811, 454, 26581, 7434, 11831, 25416, 7085, 13583, 25033, 267, 11831, 7085, 4429, 763, 11554, 20232, 540, 11831, 7085, 281, 901, 3684, 568, 513, 22403, 4806, 3440, 1984, 609, 8880, 20425, 7432, 10591, 267, 5397, 676, 9018, 10591, 543, 1079, 5577, 11825, 269, 634, 1570, 4422, 547, 519, 1101, 5577, 704, 1310, 519, 3303, 2718, 676, 519, 844, 650, 14788, 689, 519, 8023, 3937, 269, 16753, 811, 454, 22998, 20232, 2986, 21984, 7085, 18741, 333, 7233, 454, 11529, 540, 6151, 1984, 10178, 538, 9160, 2030, 1107, 533, 8140, 8302, 267, 7723, 10371, 717, 6081, 3684, 538, 24533, 6151, 2326, 4393, 2030, 267, 2324, 540, 6151, 1984, 10178, 538, 9160, 2030, 269, 1547, 11529, 6240, 540, 3440, 1984, 1031, 538, 9160, 2504, 269, 8437, 13378, 3767, 16753, 811, 454, 576, 618, 1984, 2324, 6240, 538, 15242, 454, 576, 618, 1984, 2324, 6240, 538, 15242, 269, 24533, 25416, 634, 6240, 540, 717, 3433, 2598, 8408, 8860, 568, 5176, 24080, 9862, 538, 519, 9160, 8860, 2872, 717, 3433, 2598, 8408, 11831, 24759, 616, 519, 4341, 2864, 982, 519, 9868, 14339, 24759, 585, 6151, 543, 9096, 8860, 2253, 547, 4283, 519, 4605, 700, 24147, 543, 3677, 8006, 14200, 1831, 1455, 700, 9975, 3267, 16753, 811, 454, 1440, 4532, 2118, 2324, 540, 6151, 1984, 2274, 6022, 9820, 5918, 22900, 454, 1440, 4532, 2118, 2324, 540, 3440, 6151, 1984, 10424, 322, 29266, 16766, 269, 6151, 1984, 538, 9160, 2030, 2324, 6240, 269, 901, 3440, 1984, 568, 5631, 1031, 585, 8860, 6151, 2326, 543, 3803, 2472, 538, 9160, 2030, 898, 267, 30761, 7085, 11554, 20232, 4741, 5397, 543, 2427, 5397, 616, 1079, 1455, 5397, 12331, 585, 513, 3440, 1984, 4741, 5397, 8860, 1984, 1797, 519, 5179, 14788, 1547, 16753, 811, 454, 22998, 6240, 543, 3498, 2039, 540, 11425, 1984, 318, 576, 618, 4429, 4913, 267, 950, 519, 11425, 1984, 568, 1031, 585, 5386, 8860, 267, 519, 8860, 30704, 640, 568, 1447, 982, 267, 519, 2504, 4390, 540, 519, 11425, 1984, 568, 711, 607, 1804, 607, 602, 540, 519, 3440, 1984, 540, 519, 1482, 20487, 269, 5221, 540, 922, 1507, 7829, 4390, 543, 7522, 3498, 2039, 267, 519, 11425, 1984, 568, 2484, 1447, 538, 3747, 982, 519, 3440, 1984, 269, 16753, 811 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

[ 630, 4429, 288, 2890, 6921, 658, 1591, 5713, 607, 513, 4395, 11060, 2366, 787, 267, 5464, 922, 10450, 585, 19035, 2238, 543, 2326, 676, 2625, 532, 3267, 2349, 12177, 13805, 538, 12058, 4761, 2281, 27669, 1325, 345, 8583, 619, 538, 8983, 267, 1353, 9060, 269, 3267, 5843, 6921, 807, 267, 799, 13822, 827, 476, 1015, 268, 1428, 2600, 540, 782, 519, 2281, 538, 519, 2634, 267, 2965, 18613, 4761, 2281, 14320, 811, 3267, 1809, 922, 2653, 547, 7556, 1804, 2338, 540, 741, 2673, 30980, 267, 4761, 2281, 1572, 31457, 269, 1452, 2281, 32694, 4429, 1862, 4761, 2281, 949, 7048, 593, 513, 13805, 547, 5365, 513, 4831, 3430, 871, 269, 634, 4681, 949, 1291, 547, 1732, 5061, 547, 4339, 5563, 269, 3267, 4270, 2492, 10418, 585, 8426, 5336, 520, 3700, 3194, 267, 6481, 3194, 7027, 267, 3864, 5742, 267, 543, 2817, 4659, 540, 2657, 269, 3267, 21210, 2281, 7048, 593, 13805, 547, 5365, 4831, 3430, 871, 593, 26220, 17494, 269, 670, 8991, 4047, 312, 267, 14529, 269, 910, 21210, 2281, 267, 1572, 31457, 267, 949, 3267, 24295, 29620, 4761, 3210, 540, 30746, 543, 2371, 269, 2608, 6630, 301, 14970, 289, 5456, 1397, 3967, 269, 476, 1724, 5544, 7547, 2702, 9845, 267, 4764, 4104, 4429, 28053, 2627, 4082, 540, 519, 595, 274, 321, 14727, 275, 321, 13805, 630, 10135, 272, 264, 14014, 4457, 8423, 3122, 9065, 776, 2281, 689, 561, 1736, 676, 1480, 9148, 269, 808, 3267, 7388, 618, 13805, 476, 272, 20127, 585, 6604, 540, 4761, 24975, 2699, 1591, 9552, 281, 1761, 946, 538, 13816, 4288, 3797, 269, 3267, 7388, 618, 13805, 476, 272, 20127, 585, 6604, 540, 4761, 24975, 2699, 1591, 9552, 281, 1761, 946, 538, 13816, 4288, 3797, 269, 3267, 7388, 618, 13805, 476, 272, 20127, 585, 6604, 540, 4761, 24975, 2699, 1591, 9552, 281, 1761, 946, 538, 13816, 4288, 3797, 4429, 301, 527, 878, 12547, 2504, 538, 17669, 2281, 676, 4761, 23838, 281, 1909, 540, 10252, 1162, 543, 6046, 3815, 268, 24681, 289, 269, 26640, 2271, 269, 476, 7830, 281, 1708, 273, 269, 3267, 14298, 5425, 666, 849, 12314, 609, 1114, 13364, 267, 971, 607, 2208, 10399, 267, 570, 1591, 543, 645, 1591, 3397, 13364, 630, 277, 267, 476, 278, 267, 476, 279, 267, 476, 280, 267, 476, 1015, 267, 476, 1556, 267, 3267, 5637, 10252, 1162, 616, 26582, 538, 15202, 3842, 570, 1591, 543, 645, 1591, 3397, 13364, 543, 16384, 294, 13364, 630, 293, 322, 24556, 305, 264, 630, 1704, 267, 476, 1240, 1070, 3976, 11021, 3267, 4675, 816, 832, 540, 7261, 339, 758, 710, 6178, 2718, 3204, 3634, 674, 322, 1234, 1061, 528, 6178, 2718, 543, 8426, 2920, 10474, 1282, 21210, 11412, 531, 28864, 269, 25844, 523, 717, 6759, 1889, 345, 268, 4429, 1862, 3173, 9060, 602, 519, 4761, 2281, 540, 519, 2634, 1572, 2890, 6921, 807, 1404, 513, 2629, 1909, 538, 2634, 1646, 1282, 3267, 21210, 1591, 18309, 540, 22006, 13364, 949, 1110, 3634, 8965, 2242, 538, 18273, 269, 676, 12590, 4937, 11233, 3267, 21210, 1591, 18309, 540, 22006, 13364, 949, 1110, 3634, 8965, 2242, 538, 18273, 269, 3267, 27375, 281, 21210, 1591, 18309, 540, 22006, 13364, 949, 1110, 3634, 8965, 2242, 538, 18273, 630, 1001, 279, 267, 5181, 476, 1839, 264, 4429, 290, 12682, 25570, 570, 2281, 946, 7344, 3196, 547, 14984, 5573, 3077, 1591, 11318, 269, 8426, 269, 476, 13679, 281, 1911, 268, 8099, 269, 8222, 281, 1015, 269, 6200, 277, 10768, 269, 3250, 269, 1001, 277, 269, 4905, 269, 28512, 269, 3267, 10886, 1436, 540, 6422, 957, 514, 12205, 609, 570, 16052, 13805, 2890, 743, 31255, 538, 3119, 570, 2281, 269, 808, 269, 8426, 2233, 269, 476, 10219, 281, 278, 3374, 268, 278, 5655, 269, 3267, 29325, 928, 514, 12454, 3560, 540, 570, 1591, 13805, 2890, 743, 31255, 21560, 4761, 5348, 8985, 5250, 543, 570, 1591, 11852, 269, 16332, 640, 269, 476, 4097, 3267, 4813, 514, 24378, 957, 3912, 28009, 9095, 338, 4412, 601, 570, 1591, 13805, 2890, 743, 13831, 3350, 693, 519, 4761, 5348, 8985, 269, 7348, 10758, 290, 2839, 28483, 4429, 14303, 32009, 29930, 268, 3725, 1061, 832, 630, 305, 311, 20745, 13580, 538, 14264, 14231, 547, 1852, 11158, 305, 14001, 2960, 4761, 6114, 543, 1591, 6668, 269, 11153, 540, 891, 3267, 901, 9241, 1673, 4593, 2642, 1909, 540, 30636, 1355, 13805, 15202, 538, 4761, 13178, 666, 581, 6594, 538, 1114, 2010, 540, 2860, 3267, 3776, 1459, 1353, 3096, 513, 5160, 10391, 5444, 705, 3175, 4640, 547, 21656, 513, 3209, 1909, 540, 1826, 4083, 6046, 13364, 1496, 3267, 971, 607, 15202, 689, 824, 1591, 2010, 267, 666, 3310, 27441, 11144, 269, 2755, 1896, 1883, 6090, 538, 27441, 1646, 4429, 27845, 633, 570, 1591, 11852, 676, 27765, 26578, 2281, 568, 849, 3226, 3608, 1317, 27765, 26578, 2281, 2769, 5266, 1164, 21828, 3267, 570, 3326, 6441, 833, 1234, 1061, 528, 476, 275, 1772, 22490, 585, 8838, 2711, 4886, 540, 774, 273, 21210, 13786, 525, 281, 10020, 540, 667, 754, 26578, 19204, 269, 10127, 574, 667, 13741, 27895, 267, 3267, 570, 3326, 6441, 833, 1234, 1061, 528, 476, 275, 1772, 22490, 585, 8838, 2711, 4886, 540, 774, 273, 21210, 13786, 525, 281, 10020, 540, 667, 754, 26578, 19204, 3267, 570, 3326, 6441, 833, 1234, 1061, 528, 476, 275, 1772, 22490, 585, 8838, 2711, 4886, 540, 774, 273, 21210, 13786, 525, 281, 10020, 540, 667, 754, 26578, 19204, 4429, 15031, 1181, 2369, 16951, 307, 3326, 6441, 833, 25547, 12901, 756, 3672, 3682, 12888, 291, 754, 26578, 26073, 11077, 3412, 22861, 15644, 6081, 12901, 756, 1328, 290, 1335, 758, 1149, 543, 4256, 1234, 1061, 832, 3849, 28922, 2419, 574, 20143, 18970, 13364, 7049, 525, 290, 12682, 758, 710, 25721, 9953, 2670, 12507, 14231, 306, 16577, 1805, 574, 1637, 307, 32214, 2281, 5715, 340, 576, 4467, 921, 618, 22546, 528, 2281, 303, 4545, 805, 545, 2860, 299, 24514, 13364, 31416, 781, 4761, 2281, 295, 739, 4761, 20332, 11118, 25570, 640, 290, 12682, 25570, 307, 1170, 1132, 299, 2426, 1103, 25691, 11328, 9146, 6717, 305, 276, 28053, 983, 13364, 454, 268, 715, 16197, 545, 3679, 9301, 13364, 630, 10852, 569, 681, 5456, 16927, 543, 570, 3326, 6438, 13364, 264, 616, 519, 1034, 14916, 6594, 4806, 6284, 13364, 585, 594, 16787, 269, 630, 12506, 4536, 514, 3820, 994, 268, 3733, 601, 1355, 595, 15178, 7898, 514, 13364, 630, 12710, 20745, 264, 538, 17916, 12046, 2099, 513, 15988, 13637, 540, 4806, 6284, 13364, 602, 5431, 19346, 3889, 593, 13596, 543, 1582, 268, 656, 580, 839, 269, 630, 338, 325, 321, 278, 4792, 19709, 994, 268, 26287, 1231, 538, 519, 570, 28384, 1920, 616, 4806, 6284, 13364, 4171, 4305, 568, 547, 10332, 519, 4761, 1062, 540, 4914, 28164, 269, 630, 342, 7364, 3820, 994, 268, 32587, 984, 26808, 2013, 328, 10911, 299, 476, 32542, 543, 32587, 984, 26808, 1612, 659, 848, 328, 18981, 300, 594, 268, 14681, 279, 610, 513, 11525, 8438, 12113, 7757, 22447, 630, 303, 30820, 264, 998, 570, 3326, 6441, 833, 1234, 1061, 832, 630, 26950, 20745, 1070, 1991, 13934, 609, 30748, 1235, 610, 21087, 1235, 540, 570, 299, 20745, 269, 630, 15299, 26020, 3820, 994, 268, 26495, 6501, 570, 3326, 6438, 13364, 630, 26950, 20745, 264, 476, 275, 13822, 513, 3982, 543, 18105, 4094, 13443, 3504, 1362, 540, 519, 14889, 268, 272, 20081, 28384, 2706, 2102, 324, 1920, 269, 630, 329, 9404, 684, 565, 3820, 994, 268, 476, 1220, 277, 269, 570, 3326, 6438, 13364, 607, 7636, 17176, 269, 630, 1026, 2135, 343, 2593, 994, 268, 11153, 2090, 723, 4080, 602, 17167, 6438, 13364, 630, 26950, 20745, 264, 616, 3238, 538, 645, 1591, 18735, 267, 15285, 267, 543, 16384, 1362, 6467, 21921, 1588, 630, 5425, 305, 1040, 630, 321, 341, 15680, 644, 3820, 994, 268, 589, 1713, 8167, 540, 897, 28030, 2860, 630, 10135, 290, 264, 2550, 616, 11259, 547, 4550, 268, 2207, 17668, 272, 1496, 822, 1014, 22980, 628, 549, 4565, 2880, 26679, 10194, 630, 341, 268, 8538, 1532, 264, 32346, 10942, 4630, 860, 267, 13805, 585, 661, 24427, 316, 1395, 16438, 4689, 12489, 630, 300, 11274, 1040, 630, 335, 19063, 3820, 994, 268, 3933, 16438, 4689, 12489, 1996, 519, 28603, 531, 2208, 3815, 13805, 267, 18317, 17668, 272, 1496, 822, 1014, 22980, 628, 549, 4565, 2880, 26679, 10194, 630, 341, 268, 8538, 1532, 264, 32346, 10942, 4630, 860, 267, 13805, 585, 661, 24427, 3910, 1519, 538, 1880, 524, 564, 5060, 574, 629, 267, 616, 1631, 4122, 1031, 538, 897, 28030, 2860, 630, 10135, 290, 264, 2126, 630, 476, 272, 2340, 485, 497, 910, 476, 274, 15426, 630, 335, 19063, 3820, 994, 268, 9061, 3146, 13808, 729, 4767, 538, 29588, 8127, 547, 4550, 25993, 1164, 268, 3530, 6541, 16384, 292, 13805, 18325, 630, 293, 322, 389, 505, 6020, 24556, 264, 543, 16384, 292, 5230, 5832, 30928, 12489, 269, 630, 333, 8811, 10993, 994, 268, 1234, 1061, 832, 593, 570, 16052, 338, 5431, 26898, 267, 610, 4773, 540, 824, 2281, 602, 9594, 606, 4761, 3210, 267, 3226, 12489, 269, 630, 7749, 9469, 25924, 3820, 994, 268, 769, 4761, 2281, 267, 1312, 570, 1591, 13364, 543, 12489, 616, 3710, 538, 606, 14969, 1184, 540, 5969, 543, 2250, 532, 4773, 540, 5027, 689, 5094, 966, 267, 667, 267, 543, 808, 4525, 267, 799, 616, 1287, 521, 2364, 539, 5196, 513, 595, 3148, 269, 630, 531, 345, 1721, 636, 3820, 994, 268, 589, 2582, 3940, 6512, 6375, 648, 5562, 609, 12489, 1996, 1312, 519, 595, 10135, 276, 543, 519, 23776, 13364, 729, 4857, 1310, 32661, 2803, 529, 593, 562, 1180, 523, 520, 1005, 4874, 659, 787, 4594, 728, 575, 1564, 269, 630, 684, 760, 8527, 3820, 994, 268, 1677, 1449, 713, 267, 3173, 538, 1010, 2978, 2919, 12489, 547, 3625, 519, 1250, 28009, 476, 1240, 288, 13805, 269, 630, 1186, 340, 12975, 994, 268, 1879, 649, 3945, 3729, 513, 3461, 267, 519, 3461, 781, 4761, 1062, 10953, 12489, 585, 799, 789, 723, 1044, 18764, 267, 519, 12489, 786, 9243, 1047, 602, 19800, 543, 519, 3461, 4465, 1405, 1831, 7783, 2437, 646, 1767, 269, 630, 569, 332, 874, 558, 23147, 531, 819, 3820, 994, 268, 674, 553, 666, 1098, 706, 576, 606, 30091, 11897, 1424, 5365, 538, 2281, 950, 25623, 676, 674, 553, 14270, 663, 630, 293, 553, 299, 264, 610, 676, 30748, 2065, 4550, 6363, 553, 1395, 16438, 4689, 12489, 269, 630, 6798, 15701, 25218, 2593, 994, 268, 634, 2126, 19754, 1055, 3339, 17193, 26148, 645, 2281, 1932, 267, 855, 2550, 666, 581, 2016, 2834, 1102, 16272, 540, 12489, 547, 22771, 585, 713, 267, 623, 7163, 3081, 269, 630, 27023, 881, 26410, 2593, 994, 268, 634, 2596, 3919, 540, 519, 4761, 1062, 267, 1519, 2497, 267, 1599, 543, 11976, 540, 12489, 267, 570, 16052, 13364, 267, 17916, 4761, 13364, 267, 543, 519, 9148, 1062, 269, 630, 338, 14673, 28022, 994, 268, 5015, 267, 538, 1931, 547, 18082, 519, 6881, 540, 631, 269, 16415, 324, 26898, 676, 27765, 26578, 2281, 538, 20117, 267, 649, 3773, 1265, 811, 4550, 4211, 291, 274, 12489, 543, 4550, 4211, 291, 2764, 12489, 269, 630, 514, 10903, 4592, 920, 2287, 24108, 2593, 994, 268, 634, 1459, 1353, 729, 17298, 547, 3313, 2436, 891, 1079, 1785, 12147, 543, 1599, 958, 3982, 717, 3491, 12888, 2275, 537, 9482, 13364, 616, 538, 2673, 16133, 543, 1106, 606, 23731, 9593, 545, 1950, 538, 519, 1591, 9245, 865, 602, 519, 11852, 540, 835, 12153, 519, 2534, 540, 519, 824, 269, 630, 684, 760, 8527, 3820, 994, 268, 1358, 849, 960, 607, 20203, 19216, 267, 21400, 909, 4666, 2281, 543, 7636, 11935, 1792, 1233, 1851, 2713, 2281, 910, 1519, 13421, 540, 513, 3940, 1572, 589, 1532, 9508, 267, 29200, 585, 10015, 908, 883, 10733, 3240, 12074, 1572, 12216, 781, 29693, 13196, 267, 519, 2068, 781, 10689, 5658, 26715, 4183, 269, 630, 8234, 4754, 531, 2593, 994, 268, 19881, 960, 538, 27055, 817, 517, 781, 2978, 543, 824, 22475, 814, 3254, 602, 713, 11140, 267, 513, 13805, 3940, 1572, 21768, 273, 267, 814, 513, 2178, 1761, 547, 2014, 6553, 950, 15181, 676, 11006, 547, 513, 6219, 1572, 14382, 698, 1633, 514, 661, 273, 267, 610, 623, 12283, 273, 269, 630, 8234, 4754, 531, 2593, 994, 268, 634, 3173, 4362, 602, 14889, 268, 275, 2337, 519, 9018, 4494, 540, 5761, 2281, 547, 5818, 2504, 540, 519, 8878, 3940, 9501, 5025, 269, 901, 3940, 25907, 31457, 543, 10597, 741, 2702, 547, 9062, 543, 19334, 1996, 519, 21313, 269, 630, 1186, 340, 12975, 994, 268, 932, 337, 821, 657, 4362, 602, 519, 9501, 5025, 3940, 25907, 693, 513, 13805, 1572, 1250, 28009, 476 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

[ 269, 2755, 1866, 616, 14126, 2094, 621, 786, 2046, 519, 4182, 20991, 883, 7963, 269, 901, 2306, 721, 2307, 519, 2243, 540, 267, 834, 2691, 568, 621, 547, 6157, 2307, 585, 2724, 1701, 634, 7503, 540, 20161, 1871, 883, 1942, 3902, 1341, 7443, 630, 330, 266, 335, 264, 2882, 519, 7872, 540, 11539, 689, 519, 15895, 1871, 269, 5221, 12434, 585, 811, 982, 519, 3666, 540, 1942, 3902, 267, 543, 519, 1942, 3902, 568, 1447, 982, 519, 5370, 1871, 267, 621, 2488, 519, 1367, 3854, 1235, 538, 1942, 3902, 1657, 543, 2630, 519, 1871, 540, 519, 7872, 540, 9513, 5370, 267, 865, 602, 547, 3035, 519, 7443, 609, 519, 5370, 2965, 3568, 21045, 1871, 1281, 711, 3858, 538, 1297, 269, 634, 24041, 2306, 946, 540, 519, 3017, 1063, 519, 1871, 540, 519, 20161, 543, 519, 1942, 3902, 267, 607, 513, 6117, 3196, 538, 519, 2344, 6735, 269, 1306, 519, 6735, 1063, 1114, 2504, 8257, 543, 519, 1863, 2095, 540, 3854, 267, 1118, 1114, 2027, 14345, 3666, 883, 3328, 7443, 19114, 610, 3328, 7443, 19114, 267, 865, 602, 519, 12434, 2417, 883, 3328, 7443, 267, 8275, 519, 2179, 540, 3854, 547, 3035, 519, 1482, 2179, 540, 7443, 269, 769, 519, 8912, 2013, 267, 519, 3328, 7443, 543, 519, 21045, 1871, 616, 22522, 538, 7274, 269, 634, 3328, 7443, 568, 8167, 2299, 14354, 547, 519, 2698, 2179, 540, 3854, 538, 4434, 543, 711, 519, 2179, 540, 2661, 4074, 602, 568, 18170, 676, 1367, 3854, 269, 901, 543, 1118, 606, 6662, 5168, 267, 9247, 12434, 568, 519, 1587, 540, 3854, 267, 621, 568, 4986, 547, 798, 609, 4074, 267, 538, 713, 1259, 267, 3854, 593, 519, 2078, 1063, 519, 13230, 4074, 547, 1118, 2724, 543, 547, 581, 1118, 267, 786, 581, 2417, 269, 1280, 519, 2250, 2947, 1296, 267, 594, 4312, 1044, 1210, 519, 7178, 5032, 3028, 1169, 3018, 267, 1433, 532, 17914, 476, 1321, 4374, 538, 4434, 547, 1205, 519, 10464, 652, 3341, 599, 618, 267, 4867, 693, 476, 1704, 6550, 269, 9122, 593, 519, 1657, 1079, 5686, 540, 6476, 543, 2079, 540, 519, 1523, 540, 15271, 267, 8761, 519, 14413, 638, 2329, 540, 8051, 15271, 267, 1775, 4318, 1421, 519, 8051, 4747, 1281, 711, 1491, 883, 2272, 10637, 267, 519, 2504, 12374, 267, 1434, 15884, 547, 2087, 519, 1764, 540, 2242, 543, 741, 1871, 267, 543, 666, 581, 1336, 593, 1152, 519, 13287, 540, 10727, 267, 543, 666, 581, 6027, 267, 799, 1860, 519, 13055, 781, 7443, 2702, 543, 6024, 5106, 2702, 269, 19098, 267, 2094, 519, 476, 4198, 271, 521, 3459, 547, 2628, 3007, 547, 10110, 519, 4747, 1523, 540, 930, 10257, 17830, 540, 9297, 267, 519, 1523, 540, 2413, 8051, 3069, 540, 4747, 538, 519, 4747, 1523, 540, 9297, 269, 0, 5804, 4544, 16385, 547, 19246, 267, 1082, 540, 513, 1158, 779, 1082, 5318, 1362, 616, 29270, 14486, 563, 288, 1007, 8495, 540, 3165, 15455, 5267, 602, 950, 5318, 30900, 2490, 17255, 267, 7269, 1281, 711, 5368, 8063, 873, 585, 1082, 1296, 563, 12867, 267, 1310, 6313, 3165, 602, 5030, 827, 476, 12573, 2929, 1296, 3516, 267, 723, 17251, 602, 513, 2527, 3045, 8811, 7976, 4583, 607, 513, 670, 836, 28086, 2680, 7081, 3361, 5318, 1362, 547, 5884, 1055, 1247, 4130, 1362, 15068, 563, 2108, 305, 1430, 982, 8876, 713, 705, 15929, 5117, 540, 5318, 1919, 267, 649, 1522, 723, 835, 11999, 882, 1112, 267, 1498, 8335, 3388, 568, 513, 3845, 540, 513, 521, 731, 710, 2223, 14733, 19846, 333, 590, 718, 534, 267, 606, 2825, 10196, 1282, 513, 2160, 540, 12425, 267, 538, 513, 3377, 5305, 563, 15463, 16555, 18973, 602, 513, 4130, 3165, 1185, 513, 13737, 5413, 936, 741, 538, 1260, 1706, 762, 13413, 281, 789, 9062, 1454, 267, 1082, 5488, 982, 741, 554, 592, 330, 30980, 563, 10527, 9096, 6364, 568, 606, 4262, 538, 602, 1082, 16142, 616, 5786, 982, 513, 4336, 1496, 22764, 3952, 316, 543, 1082, 24991, 543, 15067, 1905, 16104, 616, 5786, 982, 476, 1015, 17744, 2223, 610, 4130, 982, 513, 18812, 26258, 267, 14733, 3220, 269, 590, 718, 523, 269, 968, 21953, 891, 616, 513, 11937, 540, 782, 602, 2531, 7149, 689, 19952, 593, 267, 1519, 3425, 3034, 303, 1446, 2632, 5505, 723, 12675, 23503, 513, 2242, 538, 513, 26430, 7306, 540, 2831, 936, 942, 563, 3080, 3069, 267, 4583, 607, 595, 2100, 779, 4341, 267, 3081, 513, 1362, 11148, 547, 2333, 936, 942, 547, 1226, 643, 11229, 32456, 543, 547, 2490, 4824, 21962, 563, 5194, 25127, 3081, 602, 782, 1919, 1373, 3160, 267, 2831, 2490, 538, 1260, 1706, 762, 538, 513, 7589, 540, 2810, 5135, 267, 610, 538, 21617, 16374, 563, 5194, 2856, 267, 4583, 607, 513, 700, 650, 760, 583, 6356, 267, 25907, 602, 1310, 2527, 970, 18728, 267, 972, 786, 21739, 581, 513, 21285, 7678, 4724, 2370, 26430, 2450, 269, 898, 779, 3957, 1310, 513, 2192, 639, 800, 6532, 538, 513, 1433, 968, 294, 1638, 1853, 779, 3004, 12069, 892, 602, 779, 20948, 676, 2370, 1004, 563, 6624, 3744, 3972, 602, 649, 616, 593, 513, 14345, 540, 1107, 952, 711, 538, 513, 22984, 540, 1107, 513, 15795, 2527, 14486, 269, 901, 4832, 267, 3744, 30461, 513, 3377, 10834, 602, 3425, 616, 2688, 3320, 547, 18594, 675, 585, 513, 2527, 3045, 8811, 7976, 602, 568, 2907, 25093, 563, 3719, 891, 1482, 3744, 25077, 602, 7682, 633, 5279, 3646, 1522, 20866, 18389, 1055, 513, 10121, 2527, 14486, 269, 670, 2794, 3724, 16385, 267, 585, 1383, 267, 941, 5063, 5227, 585, 14962, 531, 689, 513, 3238, 1362, 1592, 563, 22154, 786, 991, 4028, 267, 16094, 2178, 3646, 547, 8190, 2907, 12219, 1362, 543, 547, 1028, 340, 720, 12503, 593, 741, 5095, 1107, 3226, 5420, 2530, 267, 21467, 343, 680, 334, 2787, 585, 24271, 656, 850, 2744, 267, 543, 5789, 22941, 1689, 2223, 5206, 513, 8495, 2319, 267, 1519, 3744, 689, 18628, 267, 23134, 267, 543, 20588, 267, 538, 741, 1867, 563, 2252, 513, 1829, 9146, 3045, 8811, 7976, 1281, 11166, 513, 4541, 779, 4102, 2831, 267, 513, 1007, 8495, 5267, 789, 786, 711, 581, 1098, 12723, 1022, 942, 4166, 563, 17606, 3085, 1406, 2339, 1018, 568, 1163, 2454, 513, 5318, 3165, 610, 1018, 568, 5137, 8134, 18633, 2223, 590, 718, 534, 1767, 269, 968, 4322, 18063, 616, 1689, 762, 2635, 13283, 865, 602, 4130, 267, 5488, 3146, 335, 18166, 3165, 616, 930, 2173, 648, 4397, 547, 1832, 2469, 267, 543, 621, 1223, 1491, 513, 796, 25406, 665, 958, 12675, 942, 547, 1205, 1346, 8273, 3165, 3297, 538, 1022, 1804, 1259, 1848, 0, 7093, 28124, 707, 2915, 689, 24146, 568, 3857, 958, 1271, 585, 519, 1072, 543, 1134, 5630, 540, 596, 543, 707, 2915, 269, 17607, 540, 707, 2915, 779, 5615, 1472, 1004, 543, 3871, 25887, 596, 547, 1022, 10593, 538, 2623, 602, 616, 16613, 585, 707, 2915, 865, 602, 596, 666, 9108, 26544, 538, 3871, 1141, 513, 11116, 1223, 2049, 269, 18227, 707, 2915, 6126, 543, 2635, 538, 1022, 4259, 3091, 596, 519, 4708, 540, 2247, 596, 543, 707, 7782, 991, 547, 2972, 519, 2238, 596, 2648, 269, 3371, 616, 1614, 1390, 2081, 547, 3247, 707, 2915, 689, 24146, 563, 12892, 1125, 2659, 13928, 454, 5415, 982, 476, 275, 269, 276, 2929, 1004, 538, 519, 772, 2529, 269, 1142, 1032, 616, 3787, 1084, 676, 5243, 267, 799, 568, 1946, 1514, 1944, 707, 2915, 568, 865, 1271, 269, 4317, 1436, 2636, 707, 2915, 547, 3082, 547, 513, 3099, 540, 1950, 3871, 543, 2337, 596, 7747, 707, 2915, 779, 6547, 865, 596, 666, 5265, 4431, 952, 707, 2915, 779, 2623, 3587, 10728, 269, 1401, 19397, 707, 2915, 547, 1453, 267, 4079, 267, 5243, 267, 824, 2831, 267, 543, 10978, 21089, 2488, 5140, 2866, 3255, 547, 1832, 707, 2915, 9350, 267, 2922, 267, 543, 6126, 563, 16605, 17261, 5209, 5455, 547, 11261, 454, 2252, 25750, 616, 22573, 267, 513, 2915, 1223, 1831, 10728, 610, 4163, 5906, 3676, 4929, 621, 547, 11116, 269, 15887, 625, 568, 519, 1034, 1455, 3644, 26438, 689, 5243, 945, 10093, 1406, 1044, 18764, 543, 666, 2014, 5243, 547, 1831, 1360, 10728, 543, 11116, 1004, 269, 17261, 3215, 707, 2915, 14014, 707, 2915, 543, 1004, 689, 971, 3676, 543, 5563, 269, 5384, 569, 25750, 585, 8290, 899, 29811, 602, 1118, 5243, 10728, 1590, 581, 6854, 909, 547, 4266, 547, 948, 1118, 2386, 602, 707, 2915, 3085, 1406, 1205, 10728, 543, 11116, 1004, 563, 12507, 3218, 20548, 4809, 10263, 454, 288, 16346, 568, 519, 1883, 547, 7303, 2915, 17486, 269, 1403, 707, 2915, 10525, 1022, 1826, 540, 10728, 2623, 267, 971, 607, 1332, 1782, 610, 31325, 693, 21046, 610, 1004, 8429, 998, 707, 1753, 267, 798, 711, 7413, 602, 2623, 269, 4658, 666, 3006, 27298, 519, 3978, 1145, 540, 1332, 1782, 607, 20027, 3274, 1317, 513, 2915, 814, 2760, 3787, 1084, 4896, 267, 855, 621, 779, 1869, 606, 13525, 602, 513, 2915, 949, 1831, 10728, 269, 22320, 1782, 602, 5555, 15583, 919, 883, 24146, 568, 513, 14427, 543, 25031, 8009, 602, 666, 581, 15286, 563, 288, 14679, 547, 519, 6288, 610, 606, 6397, 3643, 689, 513, 3659, 568, 513, 10950, 1995, 950, 707, 2915, 814, 1044, 5265, 18764, 543, 4191, 540, 1022, 10728, 2623, 723, 20374, 269, 29179, 707, 2915, 519, 1655, 4960, 547, 4159, 922, 8748, 2623, 1128, 1571, 6015, 543, 9547, 538, 1312, 267, 596, 543, 707, 2915, 269, 18833, 602, 596, 3580, 581, 2111, 547, 9108, 1491, 707, 22578, 13959, 609, 596, 10876, 596, 979, 14998, 596, 547, 6001, 543, 2972, 519, 942, 596, 6108, 609, 707, 24566, 3659, 563, 2252, 596, 991, 3063, 948, 538, 2866, 707, 2915, 547, 723, 1434, 2623, 267, 18934, 707, 7782, 538, 835, 540, 938, 2915, 2866, 3292, 256, 0, 14630, 1299, 5384, 454, 306, 12944, 267, 5988, 476, 2420, 267, 476, 1708, 271, 476, 1556, 281, 876, 993, 547, 476, 274, 281, 876, 10681, 454, 11754, 547, 25038, 454, 28893, 1977, 3778, 543, 9177, 7467, 454, 272, 560, 6989, 267, 476, 273, 526, 6989, 267, 476, 275, 628, 6989, 267, 19270, 6847, 454, 27736, 1299, 19198, 454, 1607, 568, 513, 17676, 1982, 547, 7390, 267, 855, 14261, 568, 2838, 563, 10666, 713, 7926, 454, 2414, 948, 8661, 2817, 7177, 10432, 267, 715, 7246, 288, 18449, 786, 5031, 519, 1279, 22871, 540, 3979, 1977, 8030, 269, 3245, 519, 9998, 1004, 540, 3979, 16350, 1210, 741, 1702, 540, 7573, 14713, 547, 519, 21777, 5108, 540, 2029, 605, 21745, 625, 543, 31132, 267, 519, 7418, 540, 3979, 4892, 547, 519, 4182, 779, 13884, 267, 1686, 543, 2528, 616, 1713, 269, 901, 1982, 786, 6338, 938, 8436, 547, 519, 1158, 540, 4702, 543, 2671, 875, 3979, 4892, 723, 8032, 543, 6766, 519, 1158, 269, 0, 277, 269, 13667, 693, 21548, 267, 711, 1208, 559, 2747, 269, 9861, 1336, 538, 1480, 1106, 267, 646, 1208, 16940, 5128, 269, 630, 24589, 2089, 2103, 476, 273, 281, 279, 264, 6056, 827, 519, 21548, 540, 2441, 269, 1879, 2696, 729, 4758, 519, 1876, 267, 3571, 5639, 555, 1495, 1229, 791, 3205, 958, 689, 6778, 31291, 328, 269, 1358, 4862, 3571, 5639, 267, 855, 789, 1705, 711, 1294, 13924, 269, 1809, 950, 2696, 568, 1818, 2483, 27716, 1767, 519, 10806, 540, 2696, 12851, 547, 1346, 945, 616, 899, 1453, 267, 855, 6754, 7150, 602, 6738, 13522, 1590, 2322, 2476, 1126, 880, 1919, 269, 1924, 538, 1018, 2081, 616, 21071, 547, 581, 899, 1453, 286, 769, 1018, 2081, 616, 649, 711, 888, 2691, 594, 729, 513, 1126, 267, 594, 12038, 543, 2219, 543, 2601, 539, 607, 513, 1126, 269, 1809, 950, 594, 8057, 909, 267, 594, 2322, 2476, 1126, 880, 1919, 269, 630, 272, 29833, 2103, 476, 1724, 281, 1556, 267, 715, 299, 307, 994, 2691, 6754, 2306, 713, 3948, 267, 646, 568, 1210, 519, 5259, 2262, 683, 335, 3930, 267, 799, 729, 1034, 1419, 1031, 585, 519, 21836, 267, 1034, 1219, 523, 1088, 612, 1453, 269, 6754, 3096, 621, 2429, 1010, 9210, 30178, 547, 5635, 1004, 945, 798, 711, 1332, 538, 5289, 1620, 610, 20559, 618, 547, 12256, 563, 301, 788, 3930, 568, 1419, 1031, 538, 23075, 547, 20301, 2576, 4171, 2702, 547, 2601, 3788, 2241, 543, 5667, 2684, 10184, 267, 899, 606, 10867, 269, 1280, 1383, 267, 4906, 3096, 713, 2262, 538, 15623, 476, 1556, 547, 1397, 875, 2696, 814, 6074, 547, 3142, 5128, 18710, 543, 1476, 895, 1346, 945, 1589, 2933, 8797, 676, 2348, 968, 327, 5200, 891, 1919, 689, 519, 8797, 543, 1620, 543, 7000, 873, 547, 1496, 333, 788, 3930, 316, 9232, 630, 341, 269, 476 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

[ 0, 763, 7913, 14272, 2745, 281, 4197, 519, 8177, 540, 2659, 6732, 3465, 775, 454, 9596, 827, 519, 1764, 540, 707, 2228, 4527, 543, 875, 547, 4383, 543, 2149, 707, 3059, 11640, 538, 713, 3102, 3391, 269, 13028, 1946, 707, 2228, 3527, 2339, 543, 875, 789, 666, 1860, 707, 2123, 543, 3318, 1272, 269, 6875, 1852, 540, 707, 3059, 3961, 543, 1711, 513, 2318, 2228, 4527, 2221, 563, 333, 2221, 781, 3059, 2085, 267, 938, 2729, 723, 1831, 5051, 23091, 609, 519, 2228, 1158, 269, 3245, 1514, 2923, 12632, 547, 2228, 10918, 6208, 267, 938, 2238, 4734, 3297, 513, 13009, 540, 1239, 1634, 607, 938, 834, 21745, 1388, 11640, 1701, 1809, 1018, 4010, 568, 513, 3059, 11640, 267, 543, 1946, 1058, 649, 581, 7255, 827, 621, 888, 1432, 568, 513, 7913, 14272, 2745, 888, 8245, 2952, 2322, 267, 513, 3059, 11640, 568, 519, 4015, 540, 1344, 827, 606, 1367, 602, 568, 6383, 607, 513, 1267, 540, 741, 2228, 2238, 269, 901, 2882, 3388, 689, 1514, 2923, 9708, 267, 8292, 267, 543, 15055, 547, 2228, 16306, 267, 3406, 1686, 267, 543, 3896, 11564, 269, 26243, 267, 621, 781, 519, 5691, 13009, 602, 649, 4734, 3297, 8164, 649, 4497, 609, 519, 3059, 1158, 563, 763, 32719, 775, 540, 519, 7913, 14272, 2745, 454, 3080, 540, 519, 1034, 1271, 1919, 547, 1174, 827, 938, 3059, 11640, 568, 602, 621, 568, 9247, 8628, 269, 4495, 1344, 568, 3838, 2228, 267, 621, 666, 581, 6740, 267, 23652, 267, 543, 15600, 676, 1866, 22543, 17802, 269, 4634, 952, 596, 18419, 513, 2022, 610, 632, 716, 10675, 606, 2272, 267, 972, 568, 1100, 10018, 602, 519, 1344, 786, 581, 4625, 2144, 1078, 689, 519, 4950, 563, 1607, 7165, 775, 568, 1713, 1317, 621, 1797, 602, 938, 2228, 3527, 666, 723, 1279, 18835, 4539, 267, 1312, 13948, 543, 24015, 269, 15783, 12820, 267, 1870, 4891, 267, 543, 1256, 2828, 543, 1920, 2818, 949, 1106, 21520, 543, 8369, 1759, 593, 519, 1543, 649, 723, 3838, 610, 519, 12205, 649, 723, 1500, 2228, 563, 763, 8177, 593, 9608, 543, 12333, 5020, 454, 1103, 938, 2123, 2729, 267, 938, 3059, 11640, 666, 1860, 938, 3347, 543, 10639, 269, 769, 14363, 610, 18086, 9708, 267, 585, 1383, 267, 666, 3441, 17052, 543, 1711, 513, 2942, 8226, 540, 938, 1915, 269, 6684, 267, 18731, 6337, 610, 8292, 666, 723, 9434, 2360, 593, 938, 2123, 543, 3318, 3347, 563, 30267, 11970, 958, 267, 513, 2178, 3059, 11640, 666, 3986, 938, 4876, 16548, 269, 14146, 619, 1419, 2932, 2228, 19707, 547, 1451, 811, 827, 10457, 1354, 1818, 17849, 3664, 269, 589, 1134, 268, 2017, 730, 2228, 4527, 602, 20502, 938, 1983, 267, 10781, 267, 543, 3318, 4690, 666, 1305, 721, 6306, 689, 824, 23078, 269, 2201, 519, 824, 1688, 267, 513, 2942, 610, 796, 2889, 32216, 3059, 11640, 666, 2800, 938, 8458, 540, 17516, 513, 2816, 610, 14027, 538, 938, 11678, 563, 29771, 547, 4024, 26213, 269, 1889, 7913, 22684, 6796, 454, 18794, 938, 2146, 547, 8190, 543, 2671, 707, 8823, 609, 1346, 945, 2339, 1034, 269, 8437, 1934, 547, 24049, 547, 938, 3028, 563, 28406, 532, 543, 19737, 2659, 7913, 14272, 2745, 454, 11693, 519, 1761, 1764, 540, 938, 3059, 11640, 267, 621, 568, 2629, 547, 581, 14942, 538, 5883, 543, 7863, 621, 269, 3371, 616, 930, 3268, 596, 666, 1491, 547, 2327, 513, 2318, 2228, 4527, 912, 268, 21041, 5468, 281, 25800, 3054, 609, 519, 7834, 5468, 593, 1514, 2923, 5867, 543, 4188, 873, 547, 1852, 945, 666, 1294, 707, 9708, 543, 2123, 1344, 563, 268, 6056, 1354, 596, 2671, 281, 6969, 20171, 4376, 2228, 267, 2015, 519, 1761, 4539, 269, 4024, 621, 2992, 9797, 593, 596, 286, 16393, 621, 581, 31495, 2181, 1540, 286, 1403, 538, 8969, 267, 621, 781, 1655, 547, 20093, 593, 519, 2427, 540, 13657, 563, 268, 17115, 2689, 543, 2973, 909, 281, 17115, 2689, 707, 1514, 2923, 12632, 267, 9427, 1022, 9708, 610, 6337, 602, 1100, 3476, 5447, 609, 707, 2123, 610, 3318, 3239, 563, 268, 18554, 707, 2228, 4527, 281, 5590, 909, 5616, 1325, 1068, 338, 610, 946, 2228, 10639, 2359, 2645, 547, 1832, 3950, 540, 1018, 568, 1373, 1767, 827, 596, 2228, 269, 901, 2636, 596, 547, 2232, 1022, 2942, 1543, 610, 11234, 1344, 16425, 563, 268, 12706, 513, 2318, 2228, 4527, 281, 2920, 1947, 3565, 547, 2228, 5717, 543, 2950, 1644, 547, 707, 4690, 610, 2872, 269, 9523, 3407, 1543, 267, 4497, 609, 1866, 267, 543, 13686, 707, 6791, 547, 1711, 513, 2318, 3059, 11640, 563, 1103, 606, 5051, 4448, 1158, 267, 1620, 519, 1764, 540, 707, 2228, 4527, 568, 1898, 269, 2659, 3059, 11640, 666, 3310, 707, 2123, 3347, 267, 4876, 3255, 267, 543, 2949, 10639, 269, 1635, 2921, 14942, 3268, 547, 4383, 543, 2149, 707, 3059, 11640, 267, 596, 666, 2327, 602, 621, 20383, 609, 707, 2418, 543, 3853, 267, 3056, 547, 513, 811, 2318, 543, 26374, 2228, 4527, 563, 4263, 4024, 26213, 269, 1889, 267, 649, 1683, 513, 2347, 3059, 10040, 4058, 3028, 602, 2337, 596, 10891, 543, 4383, 707, 3059, 7221, 267, 865, 789, 666, 581, 15600, 543, 11843, 676, 707, 6068, 3283, 1310, 596, 1780, 2476, 610, 1831, 24835, 659, 18469, 269, 3776, 3028, 2882, 2870, 513, 3059, 11891, 267, 8159, 945, 786, 723, 1569, 267, 3246, 5528, 593, 875, 547, 4383, 707, 7221, 267, 543, 18172, 13936, 707, 3059, 10040, 1544, 563, 29771, 547, 938, 3028, 2221, 267, 543, 2744, 4708, 540, 2247, 602, 707, 9371, 786, 581, 6870, 269, 0, 763, 3982, 3601, 540, 4083, 268, 9654, 2326, 1500, 873, 10858, 538, 1904, 29741, 3055, 3457, 269, 2098, 337, 5353, 814, 513, 6512, 7934, 540, 476, 272, 269, 736, 552, 309, 476, 543, 1970, 9804, 10338, 609, 513, 1164, 31659, 4994, 269, 2098, 337, 5353, 666, 581, 17585, 539, 609, 3982, 2609, 547, 1106, 513, 10636, 19390, 4233, 269, 2098, 337, 5353, 814, 1044, 6594, 585, 922, 5907, 267, 29512, 267, 543, 5687, 29090, 3601, 269, 589, 7123, 2098, 337, 5353, 273, 1395, 565, 9707, 13408, 835, 7077, 540, 2098, 337, 8444, 29011, 1117, 1063, 1079, 1793, 11274, 540, 1530, 8444, 1547, 3933, 565, 16558, 10518, 4617, 569, 5103, 519, 2178, 16345, 1063, 2098, 337, 543, 1530, 8444, 1547, 589, 2647, 2039, 540, 6639, 3156, 7048, 593, 519, 2189, 3601, 540, 22279, 268, 24160, 669, 531, 322, 4094, 1938, 1547, 29447, 5353, 6094, 8874, 616, 1373, 6594, 607, 513, 4544, 1769, 2707, 585, 1528, 1503, 29061, 1417, 3457, 269, 29447, 5353, 781, 9804, 3601, 723, 1044, 2182, 547, 2268, 1317, 540, 513, 3668, 540, 5078, 2582, 14848, 1547, 634, 22357, 9804, 11664, 540, 29447, 5353, 568, 1164, 269, 634, 9053, 1570, 585, 9804, 3457, 568, 29447, 5353, 1813, 547, 922, 7415, 8143, 8710, 4187, 1547, 29447, 5353, 1223, 581, 1031, 538, 2584, 29090, 3156, 899, 27178, 543, 22795, 269, 634, 946, 540, 519, 6850, 23755, 18254, 1505, 568, 593, 519, 4473, 269, 901, 4480, 1500, 621, 2009, 547, 11349, 6094, 8874, 540, 29447, 5353, 270, 313, 337, 5353, 2706, 2000, 3430, 823, 269, 1635, 1210, 519, 6850, 23755, 18254, 1505, 267, 519, 7127, 540, 2609, 568, 14931, 269, 634, 24775, 3586, 540, 674, 15674, 568, 15095, 609, 29447, 5353, 270, 313, 337, 5353, 269, 17912, 18572, 610, 3926, 2773, 568, 1561, 321, 762, 547, 581, 22314, 676, 519, 674, 15674, 14041, 1317, 540, 922, 11413, 543, 19428, 563, 297, 21628, 1696, 620, 269, 476, 8246, 7636, 11237, 13423, 25404, 547, 1332, 513, 29447, 5353, 6094, 4670, 593, 513, 13391, 293, 273, 9625, 9340, 543, 6027, 922, 9804, 3601, 269, 634, 29447, 5353, 6094, 4670, 2298, 729, 11117, 676, 2473, 11920, 32250, 267, 799, 8612, 513, 2407, 8700, 693, 3368, 519, 5021, 1871, 540, 476, 20542, 269, 634, 29447, 5353, 6094, 4670, 1185, 9940, 6512, 10616, 267, 6027, 689, 476, 1626, 547, 476, 4968, 918, 269, 634, 26034, 941, 5462, 676, 17501, 519, 29529, 9804, 13093, 517, 8086, 13164, 269, 2098, 29697, 1696, 620, 269, 476, 1353, 1031, 5860, 6198, 3069, 547, 5659, 17585, 539, 2098, 337, 5353, 273, 1395, 565, 9707, 269, 2098, 337, 5353, 273, 1395, 565, 16558, 17585, 539, 609, 9436, 610, 8485, 832, 616, 1875, 332, 8568, 8407, 269, 631, 333, 15065, 334, 1673, 25660, 2098, 337, 5353, 273, 1395, 565, 9707, 568, 513, 6419, 19202, 2348, 513, 4130, 1463, 6512, 7934, 540, 476, 271, 269, 274, 4281, 1496, 277, 268, 1321, 4940, 5450, 28351, 1949, 609, 7920, 6419, 8090, 616, 4646, 1310, 13798, 14563, 609, 631, 22462, 3150, 267, 21193, 4088, 267, 543, 631, 22462, 3150, 543, 1912, 6664, 528, 269, 631, 22462, 3150, 17585, 656, 8444, 1711, 519, 8701, 1242, 10997, 267, 1247, 17286, 22431, 543, 9436, 610, 8485, 528, 8444, 1118, 5634, 7418, 269, 898, 814, 1044, 4362, 602, 519, 17585, 656, 631, 22462, 3150, 8444, 543, 519, 30240, 17286, 22431, 8444, 616, 13745, 1884, 11717, 668, 1725, 13443, 1547, 6348, 2173, 13926, 8444, 616, 811, 3362, 11368, 538, 2098, 337, 11656, 2175, 538, 513, 1395, 565, 9707, 540, 2098, 337, 5353, 273, 269, 1452, 2164, 616, 1713, 1317, 789, 17362, 519, 1259, 585, 2870, 838, 842, 3055, 3457, 602, 7048, 593, 2098, 337, 5353, 273, 563, 288, 2039, 540, 2409, 267, 1519, 4496, 268, 16955, 3114, 32350, 18254, 267, 723, 1044, 6964, 538, 519, 10282, 540, 29447, 5353, 543, 2098, 337, 5353, 2326, 1496, 272, 267, 279, 3910, 9210, 527, 32681, 2208, 1496, 273, 267, 280, 3910, 513, 7636, 11237, 2073, 543, 6850, 23755, 18254, 1505, 2073, 1496, 1321, 268, 1428, 4940, 5082, 10635, 8707, 18254, 568, 513, 1796, 719, 1184, 585, 2504, 1813, 547, 922, 4824, 8666, 3887, 937, 10635, 8707, 543, 6850, 13906, 24608, 7207, 269, 634, 1935, 568, 11543, 1719, 1317, 621, 781, 1463, 267, 20522, 267, 13476, 2922, 267, 543, 1875, 1790, 3326, 5024, 1547, 5082, 10635, 8707, 18254, 3322, 15205, 519, 23386, 3070, 883, 606, 6850, 23755, 1591, 267, 1141, 519, 19650, 1031, 568, 513, 14041, 1500, 540, 14806, 710, 1673, 25660, 17646, 12547, 630, 10499, 302, 1040, 16792, 6453, 2164, 538, 519, 3114, 12249, 1436, 540, 519, 23386, 5196, 519, 674, 15674, 269, 5082, 10635, 8707, 18254, 568, 20522, 543, 10597, 16345, 1063, 519, 15098, 1570, 543, 14041, 269, 1323, 25617, 5277, 3070, 568, 1031, 609, 674, 15674, 607, 513, 2324, 19650, 538, 606, 6850, 23755, 1591, 547, 9585, 519, 6850, 24119, 3789, 540, 25801, 26828, 269, 19793, 1324, 7833, 4670, 11098, 543, 1942, 5786, 998, 6850, 23755, 18254, 9936, 1852, 1496, 1704, 268, 866, 4940, 5082, 10635, 8707, 18254, 666, 581, 513, 9621, 2029, 585, 2870, 1164, 23829, 1051, 5223, 2890, 2389, 8962, 540, 1114, 2326, 952, 519, 4496, 18254, 568, 22297, 2047, 689, 1507, 543, 8032, 22809, 269, 4635, 713, 2029, 814, 1500, 5958, 908, 2890, 19491, 549, 9188, 585, 2890, 2173, 778, 1456, 813, 2993, 2275, 725, 12863, 543, 14949, 269, 901, 1505, 6087, 2653, 21753, 540, 476, 274, 291, 2890, 560, 23461, 593, 1164, 3613, 31104, 8407, 269, 5082, 10635, 8707, 18254, 666, 2014, 17285, 12274, 547, 2981, 883, 513, 4396, 4496, 543, 15666, 547, 519, 30932, 2627, 952, 519, 23386, 3070, 11392, 6190, 3167, 1699, 269, 932, 20149, 12274, 616, 4646, 1369, 519, 23386, 950, 513, 17285, 6070, 568, 15702, 538, 1216, 269, 1323, 15755, 17285, 6070, 3070, 568, 1031, 607, 23386, 267, 609, 606, 606, 1712, 24760, 269, 634, 30932, 267, 519, 20024, 19650, 267, 568, 5116, 1657, 519, 606, 1712, 269, 16792, 513, 6453, 13942, 5849, 3811, 31338, 540, 519, 18254, 269, 634, 2890, 2389, 944, 781, 6850, 2275, 1335, 1227, 20024, 2497, 11188, 13920, 543, 6111, 666, 581, 6417, 676, 14577, 1184, 6724, 971, 607, 6453, 267, 13942, 4908, 267, 10279, 5223, 267, 19650, 7934, 267, 543, 9633, 269, 15316, 2326, 267, 971, 607, 8407, 267, 4496, 23212, 267, 25801, 22169, 267, 543, 15373, 832, 267, 666, 581, 1031, 547, 1711, 2890, 2389, 8962, 543, 2890, 1922, 324, 2137, 998, 713, 1184, 585, 1585, 5301, 4586, 1607, 1353, 6964, 519, 3608, 6850, 2275, 8707, 18254, 1505, 547, 30075, 519, 29447, 5353, 270, 313, 337, 5353, 1570, 269, 1284, 946, 1585, 10763, 2553, 899, 2473, 11920, 32250, 267, 11158, 23724, 1043, 21655, 543, 2185, 15304, 16785, 547, 2268, 519, 25675, 1761, 540, 519, 1570, 563, 763, 2326, 1031, 585, 519, 10282, 543, 18572, 540, 1193, 2632, 1756, 13276, 523, 728, 270, 1990, 597, 935, 1756, 13276, 523, 728, 2706, 331, 3430, 823, 630, 306, 337, 5353, 270, 313, 337, 5353, 264, 6094, 8874, 616, 282, 1193 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

[ 3983, 8217, 912, 3546, 952, 561, 910, 476, 272, 13843, 476, 271, 912, 7386, 1689, 8217, 6910, 9230, 331, 910, 476, 272, 267, 575, 4917, 3546, 952, 561, 1341, 476, 272, 10922, 3193, 9078, 912, 7386, 1689, 8217, 6910, 9230, 331, 1341, 476, 272, 267, 575, 4917, 3546, 952, 575, 910, 476, 272, 13843, 476, 271, 912, 7386, 1689, 8217, 6910, 9230, 331, 267, 575, 910, 476, 272, 4917, 3546, 952, 575, 1341, 476, 272, 10922, 3193, 14682, 912, 7386, 1689, 8217, 6910, 9230, 331, 267, 575, 1341, 476, 272, 4917, 2018, 1948, 476, 476, 400, 353, 405, 370, 16575, 13168, 390, 377, 384, 369, 22322, 2018, 585, 1680, 538, 1689, 8217, 912, 3546, 952, 1680, 538, 1434, 8217, 912, 7386, 1948, 476, 476, 399, 365, 10524, 369, 267, 476, 29635, 370, 357, 454, 7386, 3983, 8217, 6910, 263, 577, 836, 994, 7386, 1434, 8217, 31927, 263, 577, 836, 994, 7386, 1689, 318, 4148, 698, 815, 6936, 692, 2018, 1900, 6834, 476, 272, 692, 2018, 1948, 567, 476, 402, 373, 413, 368, 360, 390, 365, 454, 2018, 952, 711, 1689, 318, 4148, 698, 912, 3546, 2736, 692, 1038, 1948, 476, 406, 375, 7549, 383, 369, 16648, 391, 369, 454, 1038, 952, 1434, 8217, 912, 2018, 2132, 910, 272, 454, 1038, 3116, 912, 2018, 2132, 1900, 454, 0, 258, 8193, 281, 30016, 268, 279, 19930, 476, 12916, 379, 17958, 27730, 18263, 510, 13200, 509, 421, 499, 379, 25622, 13213, 505, 27310, 26233, 507, 26033, 481, 8147, 476, 476, 18777, 353, 419, 506, 509, 19764, 478, 417, 356, 489, 26166, 22909, 494, 8147, 476, 28859, 351, 502, 21251, 21928, 14035, 504, 8147, 21928, 30678, 419, 366, 378, 692, 18411, 8587, 28859, 351, 502, 25203, 362, 16088, 14756, 503, 27936, 22047, 11590, 490, 9463, 487, 21550, 495, 8147, 13213, 498, 18713, 508, 14395, 481, 7511, 18809, 31365, 28859, 479, 491, 31308, 484, 12486, 692, 8587, 22614, 353, 374, 28032, 489, 1384, 2018, 476, 27447, 24662, 281, 1496, 272, 19885, 1638, 267, 273, 267, 274, 2639, 25639, 476, 272, 454, 3546, 26444, 4449, 476, 273, 454, 3546, 1315, 454, 25639, 476, 274, 692, 2018, 476, 27447, 24731, 281, 1496, 272, 267, 274, 267, 273, 6540, 8587, 476, 26166, 22909, 494, 16088, 7531, 8587, 17276, 478, 507, 420, 371, 363, 16088, 476, 28859, 507, 508, 27747, 372, 28997, 478, 22287, 499, 27747, 372, 25335, 482, 7511, 25426, 362, 30903, 502, 8147, 13601, 420, 486, 361, 16533, 365, 4970, 353, 26175, 491, 26233, 507, 420, 371, 363, 8147, 13601, 26175, 491, 15159, 20881, 496, 25051, 496, 7511, 26233, 507, 420, 371, 363, 8147, 9463, 355, 13601, 26175, 491, 15159, 12916, 379, 17958, 21550, 486, 25520, 421, 502, 509, 28578, 7511, 25051, 351, 19764, 493, 23521, 354, 20001, 483, 20693, 358, 14395, 508, 27064, 364, 12486, 692, 18257, 7531, 258, 421, 355, 500, 10429, 486, 15159, 476, 22614, 362, 478, 22287, 499, 7511, 20881, 496, 25051, 496, 25051, 351, 19764, 493, 454, 3698, 538, 4650, 20172, 2187, 825, 952, 711, 3597, 16000, 543, 711, 3597, 16192, 912, 1038, 2132, 692, 825, 538, 4650, 20172, 16000, 994, 825, 1820, 20172, 22183, 994, 825, 538, 4650, 20172, 16192, 2020, 258, 28859, 507, 508, 20881, 496, 25051, 496, 19867, 497, 22287, 364, 25913, 19764, 493, 8587, 476, 13213, 502, 15159, 12916, 379, 17958, 21550, 486, 7511, 25913, 25622, 12571, 356, 825, 17276, 482, 509, 25335, 487, 16533, 365, 15159, 476, 13127, 28187, 31563, 13213, 502, 420, 25693, 23523, 478, 26266, 355, 420, 369, 364, 16533, 365, 13601, 25203, 368, 23523, 478, 26266, 355, 420, 369, 364, 8147, 476, 476, 12571, 355, 10254, 503, 13127, 364, 365, 19867, 497, 22287, 364, 10951, 361, 420, 374, 360, 8147, 19764, 373, 24731, 21550, 486, 23946, 370, 16533, 507, 13644, 499, 23523, 478, 9463, 367, 420, 369, 364, 454, 3698, 538, 4650, 273, 20172, 2187, 825, 10518, 17342, 2639, 825, 1064, 284, 10174, 692, 825, 1948, 27962, 27064, 363, 417, 351, 481, 8147, 13127, 28187, 31563, 21550, 486, 18809, 20069, 30317, 27381, 510, 8147, 16533, 365, 23746, 23284, 13601, 25203, 368, 23523, 478, 31284, 420, 369, 364, 454, 825, 1247, 1064, 568, 711, 7183, 610, 476, 7003, 263, 23637, 264, 285, 271, 912, 1038, 1948, 13127, 28187, 31563, 418, 490, 485, 12571, 495, 7511, 21251, 15159, 419, 358, 374, 14756, 497, 30536, 454, 1038, 952, 1064, 568, 711, 7183, 912, 2018, 10518, 6910, 263, 1842, 994, 2018, 1064, 284, 1842, 16000, 454, 1038, 1948, 13127, 28187, 31563, 418, 490, 485, 12571, 495, 7511, 15159, 419, 358, 374, 14756, 497, 30536, 28793, 8147, 421, 480, 352, 16533, 365, 19764, 373, 24731, 31968, 22047, 12916, 491, 419, 377, 362, 8147, 23946, 370, 13213, 505, 27310, 19867, 497, 22287, 364, 476, 23284, 9463, 488, 23523, 478, 9463, 367, 419, 506, 489, 454, 1038, 3116, 912, 2018, 1064, 284, 23637, 21014, 4590, 2018, 1820, 263, 1842, 22183, 994, 2018, 1064, 284, 1842, 16192, 692, 258, 21228, 13090, 825, 476, 14756, 481, 18263, 510, 272, 567, 23084, 30668, 16482, 258, 567, 476, 30244, 19404, 490, 476, 476, 12916, 379, 17958, 21550, 486, 7511, 25913, 19764, 493, 13213, 505, 27310, 567, 13127, 362, 508, 27064, 364, 18809, 31365, 421, 479, 491, 31308, 484, 12571, 356, 8147, 23523, 486, 28997, 478, 22287, 499, 7511, 30903, 502, 12486, 476, 5236, 376, 486, 31284, 30837, 351, 7511, 30837, 508, 20881, 496, 25051, 496, 7511, 21550, 486, 26233, 507, 420, 371, 363, 8147, 15159, 30837, 508, 27747, 372, 27747, 372, 25335, 479, 7511, 14395, 508, 27064, 364, 26233, 507, 420, 371, 363, 24724, 454, 3698, 1187, 272, 20172, 2187, 825, 1948, 476, 10254, 505, 417, 375, 374, 21550, 486, 454, 825, 10518, 17342, 2639, 825, 1064, 284, 10174, 692, 825, 1948, 476, 476, 13213, 505, 27310, 21550, 486, 7511, 31308, 489, 24662, 25520, 19764, 373, 24731, 567, 476, 23284, 9463, 488, 421, 479, 491, 31308, 484, 18777, 378, 27936, 476, 5236, 376, 486, 19404, 491, 28884, 23521, 350, 10524, 370, 15159, 21550, 486, 21251, 420, 25693, 20992, 419, 358, 374, 24724, 454, 825, 1247, 1064, 568, 711, 7183, 476, 610, 7003, 263, 23637, 264, 285, 271, 912, 1038, 1948, 476, 13127, 377, 497, 23746, 23284, 18777, 379, 25426, 362, 28793, 8147, 13127, 371, 355, 26166, 418, 498, 363, 25263, 502, 10429, 486, 31308, 489, 21550, 486, 8147, 12916, 484, 21251, 13213, 505, 27310, 14395, 508, 30522, 483, 18777, 379, 25426, 362, 454, 1038, 952, 1064, 568, 711, 7183, 912, 2018, 10518, 6910, 263, 1842, 994, 2018, 1064, 284, 1842, 16000, 454, 1038, 1948, 13127, 377, 497, 421, 506, 478, 28884, 19764, 373, 24731, 28793, 267, 13127, 376, 373, 24731, 32517, 350, 418, 479, 363, 8147, 13213, 505, 27310, 421, 479, 491, 31308, 484, 476, 13127, 373, 370, 417, 479, 504, 476, 9463, 367, 26166, 418, 498, 363, 18777, 379, 25426, 362, 454, 1038, 3116, 912, 2018, 1064, 284, 23637, 21014, 10797, 2018, 1948, 476, 13213, 505, 27310, 18777, 379, 25426, 362, 12571, 356, 454, 2018, 1820, 263, 1842, 22183, 2020, 2018, 1948, 31006, 12571, 492, 9463, 367, 418, 490, 485, 27936, 12571, 356, 8147, 454, 2018, 1064, 284, 1842, 16192, 454, 0, 258, 8193, 281, 30016, 268, 279, 19930, 476, 12916, 379, 17958, 27730, 18263, 510, 13200, 509, 421, 499, 379, 25622, 13213, 505, 27310, 26233, 507, 26033, 481, 8147, 476, 476, 18777, 353, 419, 506, 509, 19764, 478, 417, 356, 489, 26166, 22909, 494, 8147, 476, 28859, 351, 502, 21251, 21928, 14035, 504, 8147, 21928, 30678, 419, 366, 378, 692, 18411, 8587, 28859, 351, 502, 25203, 362, 16088, 14756, 503, 27936, 4970, 353, 14748, 30837, 508, 419, 358, 374, 421, 497, 378, 23989, 23521, 354, 23989, 419, 353, 374, 4970, 353, 14748, 30837, 508, 420, 368, 509, 10533, 368, 12255, 12486, 12916, 491, 12255, 418, 490, 487, 419, 483, 356, 20881, 484, 31365, 25913, 19764, 493, 11858, 502, 417, 480, 357, 8147, 14395, 481, 10524, 361, 7511, 30006, 493, 14748, 420, 488, 480, 30536, 9463, 359, 11858, 502, 417, 480, 357, 22287, 499, 14748, 12255, 21211, 25707, 19930, 13127, 364, 484, 4970, 353, 12255, 25203, 372, 20693, 510, 13213, 498, 18713, 508, 22047, 13161, 364, 7511, 421, 497, 378, 23989, 12486, 30522, 353, 29072, 12255, 21211, 476, 271, 476, 18263, 489, 14035, 500, 8147, 30244, 4970, 353, 14748, 12255, 21211, 421, 25693, 21251, 25263, 504, 23284, 421, 505, 370, 19764, 478, 14035, 368, 12486, 692, 19930, 476, 20881, 504, 32517, 501, 30536, 13644, 368, 16533, 365, 15159, 476, 20069, 4970, 353, 14748, 421, 497, 378, 23989, 26166, 10254, 360, 23989, 419, 353, 374, 4970, 353, 14748, 12255, 8147, 16043, 495, 10524, 361, 421, 506, 478, 28884, 420, 492, 371, 23523, 501, 476, 22047, 13161, 364, 7511, 421, 497, 378, 23989, 8147, 421, 497, 378, 23989, 7511, 29219, 23989, 419, 353, 374, 4970, 353, 12255, 25203, 372, 20693, 510, 7511, 25520, 12486, 692, 3546, 476, 27447, 24662, 16088, 263, 273, 9847, 476, 275, 9847, 476, 274, 264, 1341, 630, 276, 9847, 476, 277, 9847, 476, 275, 994, 3546, 476, 27447, 24731, 16088, 278, 9847, 476, 271, 9847, 476, 279, 454, 3546, 13127, 492, 509, 18713, 510, 16088, 31079, 1341, 476, 275, 4792, 815, 476, 3199, 278, 692, 8587, 476, 26166, 22909, 494, 16088, 454, 16875, 22614, 365, 375, 25263, 376, 30678, 419, 374, 372, 31968, 18777, 350, 28997, 501, 4970, 353, 14748, 12255, 21211, 7511, 25520, 8147, 421, 355, 500, 10429, 486, 10524, 492, 31006, 12916, 492, 20069, 10533, 486, 12916, 491, 18263, 509, 16533, 365, 15159, 28578, 23989, 299, 272, 13127, 23687, 700, 273, 476, 7511, 23989, 14035, 368, 19764, 478, 417, 356, 489, 25203, 372, 20693, 510, 25707, 8587, 476, 13200, 365, 30678, 30006, 493, 12916, 491, 12255, 21211, 421, 25693, 18021, 498, 25051, 497, 14035, 482, 30678, 476, 271, 2507, 280, 476, 7511, 420, 490, 481, 18713, 368, 19540, 483, 8147, 18713, 510, 27882, 353, 4970, 353, 14748, 12255, 21211, 7511, 25520, 28793, 23746, 420, 25693, 25263, 504, 24731, 27064, 364, 2108, 418, 374, 351, 24731, 892, 12486, 28032, 489, 417, 28187, 8147, 276, 1341, 476, 278, 815, 476, 1321, 25707, 8587, 13127, 506, 357, 30244, 26175, 491, 418, 481, 483, 19540, 369, 31284, 8147, 16533, 484, 25051, 497, 31176, 491, 12916, 491, 7511, 12255, 29219, 18777, 378, 419, 377, 362, 20992, 476, 2420, 8147, 23946, 370, 16533, 484, 13213, 505, 12916, 491, 4163, 284, 272, 13127, 372, 355, 24662, 31284, 13601, 418, 361, 350, 13213, 511, 28786, 12486, 13213, 505, 12916, 491, 4163, 13127, 379, 483, 27936, 15159, 476, 271, 476, 16043, 500, 476, 272, 8147, 454, 8587, 476, 30244, 15159, 18713, 510, 20992, 4970, 353, 14748, 12255, 21211, 25203, 372, 20693, 510, 27818, 26033, 481, 420, 503, 495, 28996, 13213, 505, 12916, 491, 24724, 23746, 420, 25693, 24731, 27064, 364, 7511, 31006, 27962, 25520, 20992, 476, 280, 1341, 476, 280, 1341, 476, 272, 815, 476, 866, 12486, 692, 8587, 17276, 478, 507, 420, 371, 363, 16088, 454, 1363, 476, 10429, 486, 10254, 353, 13161, 511, 13601, 31284, 417, 497, 359, 14748, 421, 497, 378, 23989, 421, 499, 379, 8147, 419, 482, 370, 12571, 492, 17958, 11590, 353, 29004, 351, 7511, 25913, 25622, 419, 350, 362, 32517, 507, 13601, 27936, 15159, 331, 272, 418, 505, 368, 421, 499, 379, 25707, 1363, 22614, 482, 370, 12571, 492, 418, 488, 488, 331, 273, 7511, 29219, 20693, 510, 28996, 331, 272, 31968, 8147, 10429, 357, 421, 481, 357, 20693, 510, 14395, 490, 18263, 489, 12571, 492, 421, 479, 491, 31308, 484, 331, 272, 14035, 482, 419, 494, 484, 13213, 505, 12916, 491, 8147, 18777, 364, 23523, 501, 14035, 482, 419, 494, 484, 31006, 12571, 492, 13601, 12916, 491, 421, 506, 478, 28884, 13213, 505, 272, 7511, 29830, 373, 418, 362, 488, 418, 481, 483, 19540, 369, 12486, 7987, 494, 26406, 356, 10254, 370, 13213, 505, 12916, 491, 23946, 370, 25203, 372, 20693, 510, 28996, 476, 28996, 299, 272, 421, 497, 378, 23989, 31968, 7987, 495, 7531, 1038, 28859, 497, 378, 23989, 4970, 353, 12255, 25203, 372, 20693, 510, 16088, 8364, 787, 11858, 502, 417, 480, 357, 13213, 505, 12916, 491, 8147, 323, 13424, 11858, 502, 417, 480, 357, 25051, 497, 31176, 491, 12916, 491, 29219, 8147, 454, 2018, 759, 815, 630, 331, 272, 15010, 1998, 266, 331, 273, 15010, 1998, 266, 8364, 787, 264, 260, 1015, 8147, 8364, 787, 815, 630, 331, 272, 15010, 1998, 266, 331, 273, 15010, 1998, 266, 8364, 787, 8358, 1015, 5405, 505, 454, 2018, 5903, 11966, 265, 31575, 27161, 284, 2908, 5903, 11966, 263, 637, 11850 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

[ 2686, 15364, 563, 268, 16508, 17583, 281, 32655, 2833, 1711, 2178, 1514, 13218, 602, 3986, 1312, 1367, 2208, 543, 7104, 3961, 563, 268, 23281, 540, 5617, 784, 532, 281, 30880, 538, 22612, 12738, 25040, 835, 779, 1747, 1369, 513, 6626, 1514, 5958, 267, 5807, 513, 2631, 540, 10362, 543, 3483, 563, 347, 15973, 531, 8081, 1475, 8624, 29193, 27067, 1475, 10387, 10899, 17583, 1475, 306, 1619, 540, 5617, 784, 532, 2008, 347, 21886, 5971, 618, 1475, 24292, 6561, 1475, 4537, 1563, 2833, 1475, 12892, 5958, 2008, 347, 301, 4669, 1005, 1475, 9199, 1288, 1475, 1805, 3994, 1514, 13218, 1475, 303, 17123, 2008, 8139, 519, 1909, 602, 2146, 4249, 538, 22612, 12738, 2620, 839, 938, 8223, 540, 891, 13710, 2853, 269, 1635, 3246, 1489, 267, 7326, 267, 3929, 4276, 267, 543, 513, 2631, 540, 10362, 267, 2950, 3565, 547, 519, 7096, 1764, 891, 12738, 723, 593, 2043, 269, 769, 2490, 267, 713, 3310, 10237, 919, 21286, 607, 4384, 919, 1831, 3742, 5171, 1369, 2486, 269, 769, 519, 1739, 3296, 267, 649, 786, 2263, 875, 891, 14759, 3337, 1312, 2043, 543, 519, 6626, 1514, 5251, 454, 763, 8177, 540, 9024, 2747, 681, 3770, 338, 593, 15706, 543, 5980, 454, 16352, 8268, 519, 5933, 3238, 538, 22612, 12738, 267, 621, 568, 1271, 547, 5490, 4514, 883, 519, 1764, 891, 12738, 723, 593, 2043, 543, 2486, 269, 1677, 9414, 713, 267, 1577, 721, 2015, 513, 19858, 2013, 1353, 5473, 513, 3909, 22612, 9161, 1369, 513, 1507, 2146, 563, 5331, 513, 1762, 4807, 3957, 15609, 945, 568, 827, 547, 10929, 606, 22612, 16008, 538, 1200, 14316, 269, 634, 1101, 3942, 540, 519, 9161, 3322, 9668, 689, 1200, 4948, 1272, 267, 607, 1352, 18956, 338, 547, 513, 694, 7672, 4087, 585, 513, 1974, 540, 26126, 543, 5289, 7041, 269, 901, 15639, 689, 6848, 8155, 2636, 15609, 547, 31028, 689, 1158, 569, 19240, 543, 1445, 9003, 593, 1200, 2123, 7004, 563, 763, 1985, 3942, 540, 519, 22612, 9161, 568, 1634, 607, 1929, 514, 1275, 267, 1141, 15609, 2833, 513, 1533, 540, 13509, 543, 14345, 1275, 269, 4438, 713, 5123, 267, 1352, 851, 1389, 538, 1585, 12572, 6411, 602, 4161, 1200, 4978, 267, 2418, 267, 543, 1620, 540, 9887, 269, 3414, 29270, 891, 4255, 543, 8062, 267, 15609, 25457, 7096, 5626, 2242, 602, 3337, 1200, 3961, 563, 7661, 267, 519, 2063, 3942, 540, 519, 22612, 1184, 568, 556, 15759, 1674, 883, 2486, 607, 513, 9927, 1367, 269, 15609, 7024, 547, 1200, 2146, 609, 16012, 7326, 543, 15657, 6591, 998, 519, 9161, 1995, 269, 4173, 4567, 1369, 519, 14316, 6173, 919, 267, 607, 1352, 1631, 19299, 1702, 543, 4030, 11603, 1152, 585, 1346, 945, 723, 22734, 2147, 4384, 725, 563, 763, 1764, 540, 971, 22612, 12738, 11498, 3564, 519, 1367, 1377, 282, 789, 849, 1404, 513, 2629, 1909, 538, 5935, 7239, 693, 1804, 269, 3371, 616, 2185, 1883, 3344, 10223, 741, 4644, 912, 268, 8836, 27264, 281, 9024, 2747, 12738, 4196, 607, 3532, 6127, 585, 8497, 2686, 5389, 676, 8429, 1524, 18577, 1702, 543, 2853, 547, 7820, 5481, 563, 268, 4317, 3213, 1127, 542, 281, 1452, 32537, 1711, 2178, 7554, 1851, 5171, 267, 5807, 9322, 543, 17604, 1369, 2950, 563, 268, 14740, 19725, 281, 1635, 18460, 606, 22612, 9161, 267, 2043, 1020, 513, 2631, 540, 10362, 1145, 547, 741, 2528, 610, 4984, 1247, 585, 3101, 741, 1378, 2189, 9163, 563, 268, 7991, 26504, 281, 1452, 12738, 7794, 7104, 6043, 676, 1128, 3739, 3838, 2418, 267, 7881, 267, 543, 5837, 9479, 602, 3391, 2146, 2818, 538, 2053, 540, 27465, 563, 2414, 2417, 9414, 519, 1764, 540, 22612, 12738, 267, 2015, 519, 1739, 1614, 12258, 4379, 3349, 912, 19064, 668, 1774, 2123, 2208, 543, 1582, 22523, 1475, 26670, 766, 5626, 1134, 5630, 543, 6043, 1475, 293, 8803, 1514, 22122, 543, 9322, 2008, 26180, 659, 4106, 622, 3961, 5250, 543, 2686, 10362, 1145, 1475, 290, 738, 10675, 6568, 543, 1620, 1851, 3309, 2043, 1475, 15430, 2925, 18577, 7326, 543, 5389, 2008, 347, 21886, 5971, 26126, 543, 8086, 1475, 14946, 5718, 1983, 543, 5539, 1475, 9743, 650, 3838, 2418, 267, 7881, 267, 543, 5837, 9479, 2008, 1103, 3932, 267, 22612, 12738, 616, 13710, 2833, 602, 723, 513, 7096, 1764, 593, 1312, 2043, 543, 7239, 269, 3414, 5933, 971, 607, 9668, 267, 1929, 514, 1275, 267, 543, 556, 15759, 1674, 267, 891, 12738, 5512, 2123, 2208, 1247, 8497, 2686, 6561, 269, 1635, 8508, 891, 10723, 14759, 267, 2043, 711, 1152, 1265, 741, 1747, 1369, 2486, 855, 849, 3565, 547, 922, 7104, 4222, 269, 0, 24979, 4875, 344, 6653, 17436, 616, 606, 7533, 851, 540, 17154, 2732, 269, 2961, 12783, 4866, 547, 519, 772, 3387, 749, 26448, 610, 589, 701, 19687, 1920, 269, 4033, 2818, 540, 519, 1920, 616, 16163, 30876, 267, 546, 650, 267, 2073, 524, 6058, 267, 16163, 2917, 267, 3092, 563, 10111, 12783, 616, 5156, 547, 723, 1044, 16916, 585, 519, 1101, 942, 538, 15787, 930, 476, 4335, 271, 1296, 3516, 269, 1358, 1185, 5835, 17145, 609, 13711, 24909, 563, 763, 4122, 11342, 6505, 10538, 3099, 540, 17436, 729, 2663, 593, 2919, 676, 10656, 563, 8649, 5074, 2960, 2640, 540, 17436, 912, 763, 2960, 2640, 540, 17436, 616, 11911, 547, 519, 4527, 540, 1804, 9424, 540, 14434, 543, 6171, 589, 269, 1358, 1832, 2960, 2042, 693, 15922, 543, 1118, 519, 2960, 30437, 563, 28848, 17436, 666, 1118, 519, 2960, 32689, 607, 789, 616, 14095, 609, 14434, 543, 6171, 589, 543, 595, 563, 24916, 10438, 873, 267, 596, 666, 849, 1039, 513, 22635, 540, 9932, 547, 1989, 730, 17436, 543, 946, 607, 513, 3068, 9633, 269, 23680, 621, 585, 1906, 3764, 543, 11547, 1055, 609, 1216, 269, 5617, 10079, 803, 707, 3068, 786, 1831, 32689, 543, 21743, 563, 7804, 1074, 31577, 10433, 547, 9004, 26711, 543, 6926, 332, 8460, 269, 16792, 31577, 17870, 2047, 593, 2960, 666, 849, 948, 596, 1205, 7759, 540, 26711, 543, 7436, 563, 763, 6171, 595, 1336, 538, 17436, 948, 538, 20018, 2504, 269, 634, 20018, 3812, 17799, 519, 1184, 540, 10172, 269, 634, 4191, 540, 10172, 971, 607, 6477, 7695, 267, 32060, 543, 5920, 540, 19514, 2960, 3159, 616, 16607, 676, 4189, 17436, 1036, 783, 337, 569, 563, 10111, 12783, 2270, 513, 2960, 7888, 8770, 1532, 9508, 25558, 2940, 602, 2337, 538, 28472, 2960, 5957, 543, 15237, 3361, 676, 519, 5739, 12345, 540, 519, 3141, 269, 0, 8139, 519, 1072, 4220, 543, 6932, 4145, 2404, 609, 519, 946, 540, 1279, 3856, 23442, 6802, 20127, 454, 31624, 2280, 514, 540, 519, 2817, 3194, 10418, 4320, 476, 5325, 267, 9137, 1297, 281, 476, 16328, 630, 1708, 274, 994, 3682, 2023, 6802, 20127, 630, 13048, 3674, 264, 616, 519, 1034, 3759, 20160, 543, 1455, 6527, 585, 23441, 3679, 21109, 269, 1717, 267, 26076, 3674, 3136, 547, 28511, 3106, 4145, 1813, 547, 519, 8244, 607, 606, 936, 7308, 23716, 6646, 269, 901, 29252, 946, 540, 26076, 3674, 814, 5063, 1044, 3254, 547, 581, 2404, 609, 519, 2799, 1072, 4220, 563, 14611, 1560, 540, 519, 7493, 454, 763, 22629, 540, 23441, 3679, 2504, 676, 9048, 951, 4601, 11006, 547, 543, 32485, 519, 670, 266, 270, 298, 266, 21085, 848, 11747, 1062, 666, 2014, 7293, 543, 28772, 11043, 2242, 538, 519, 22542, 22435, 267, 22542, 17550, 267, 543, 9063, 269, 2060, 519, 2487, 23988, 10311, 689, 1977, 30887, 10938, 1670, 5948, 3823, 1244, 637, 5524, 540, 26076, 3674, 267, 713, 2689, 6212, 593, 519, 8374, 540, 1279, 3856, 946, 540, 26076, 3674, 593, 1585, 1949, 267, 8937, 22435, 267, 15499, 11064, 543, 12982, 15108, 2068, 630, 296, 9720, 1916, 2252, 623, 18444, 946, 538, 594, 9720, 2550, 568, 2404, 609, 2799, 1981, 540, 824, 8801, 4093, 267, 6236, 519, 623, 18444, 23938, 7777, 267, 23386, 543, 15451, 19260, 849, 2115, 11826, 6268, 563, 3682, 2023, 6802, 20127, 630, 13048, 3674, 264, 3625, 519, 670, 266, 270, 298, 266, 2969, 303, 848, 11747, 1062, 538, 519, 23441, 533, 926, 13926, 2281, 269, 1306, 513, 2126, 585, 12884, 525, 23569, 17406, 2068, 630, 294, 26314, 264, 543, 2404, 2175, 267, 23442, 6802, 20127, 616, 519, 2034, 1034, 11311, 3075, 1362, 538, 519, 7330, 630, 300, 1638, 514, 1696, 620, 269, 476, 1220, 280, 1040, 623, 18444, 14001, 15038, 538, 12499, 3766, 770, 878, 9063, 543, 7766, 19260, 540, 16063, 17550, 616, 1634, 547, 2014, 19888, 1600, 2360, 593, 519, 3003, 22542, 8778, 269, 11048, 267, 26076, 3674, 616, 3622, 1134, 7109, 730, 543, 2922, 6527, 269, 1358, 616, 4122, 11311, 6527, 585, 513, 3099, 540, 16063, 22074, 1519, 8819, 1238, 31829, 531, 22377, 267, 2144, 657, 633, 1965, 15047, 4345, 267, 12884, 525, 23569, 17406, 2068, 267, 23441, 5409, 572, 4038, 800, 25102, 27689, 543, 3769, 538, 519, 2126, 540, 4477, 545, 14385, 28894, 9461, 269, 26076, 3674, 616, 1419, 5227, 547, 2550, 538, 519, 6413, 4259, 607, 605, 29091, 9471, 1996, 16063, 21385, 602, 666, 581, 4547, 593, 676, 2566, 543, 5924, 3606, 6527, 630, 299, 334, 543, 26960, 476, 1001, 274, 1040, 7085, 687, 782, 936, 519, 1158, 946, 26076, 3674, 1169, 1032, 2436, 11311, 610, 936, 519, 4831, 609, 519, 1034, 2442, 623, 18444, 1373, 9631, 788, 23432, 1961, 269, 15345, 788, 23432, 1961, 729, 3743, 585, 827, 476, 6872, 260, 540, 519, 2698, 1095, 18587, 540, 26076, 3674, 538, 476, 1001, 280, 630, 10059, 2517, 743, 4532, 531, 322, 2593, 22230, 2607, 1805, 1846, 22230, 2607, 338, 23860, 332, 788, 23432, 1961, 1040, 634, 3328, 1297, 540, 1095, 18587, 829, 1032, 568, 1472, 476, 13647, 2929, 5001, 28428, 1472, 476, 1724, 5479, 9489, 630, 306, 541, 3534, 1731, 1696, 620, 269, 476, 1708, 272, 1040, 26076, 3674, 960, 676, 32485, 519, 7250, 9706, 582, 9914, 6802, 630, 295, 266, 270, 298, 266, 21085, 848, 6802, 264, 799, 29620, 519, 21131, 540, 7250, 676, 533, 926, 13926, 2281, 543, 13604, 519, 19718, 540, 29414, 11379, 269, 4475, 267, 713, 7271, 29620, 3679, 21131, 689, 23441, 533, 926, 13926, 2281, 269, 5221, 540, 519, 22629, 540, 3679, 21131, 267, 26076, 3674, 616, 11311, 547, 1521, 543, 2061, 3679, 17406, 267, 12884, 525, 23569, 17406, 2068, 630, 294, 26314, 1070, 21385, 267, 543, 547, 24390, 5739, 5222, 593, 519, 7181, 543, 5924, 24026, 3361, 676, 824, 13310, 5061, 269, 1717, 267, 1317, 540, 741, 3622, 2922, 2470, 267, 26076, 3674, 666, 1419, 581, 936, 26078, 8282, 543, 1031, 1279, 3856, 269, 634, 4214, 585, 1279, 3856, 946, 540, 26076, 3674, 666, 4268, 607, 23576, 538, 713, 2689, 799, 666, 1291, 547, 811, 2352, 7664, 540, 1353, 2164, 269, 634, 1977, 30887, 10938, 1670, 5948, 630, 8980, 288, 264, 5063, 3370, 7454, 6657, 31876, 630, 21990, 2026, 264, 593, 519, 4791, 946, 540, 623, 18444, 3797, 538, 13922, 547, 24390, 519, 20025, 1095, 18587, 540, 26076, 3674, 630, 307, 1173, 1144, 1731, 1696, 620, 269, 476, 1708, 273, 1040, 1452, 6527, 616, 1419, 1031, 547, 1521, 2175, 1141, 623, 18444, 946, 814, 711, 2943, 1044, 8810, 6225, 543, 616, 1419, 1031, 585, 1279, 2165, 2126, 269, 4340, 547, 15917, 525, 1696, 620, 1421, 621, 568, 6059, 602, 1472, 476, 4792, 260, 540, 2550, 1210, 623, 18444, 2126, 723, 1100, 16315, 540, 991, 630, 295, 599, 525, 1696, 620, 269, 476, 1001, 280, 1040, 1677, 1732, 1174, 519, 3463, 602, 936, 2224, 540, 26076, 3674, 10460, 547, 519, 2551, 267, 621, 568, 6225, 547, 1413, 693, 519, 2009, 4093, 998, 3105, 2152, 602, 723, 7018, 269, 1280, 1383, 267, 519, 936, 13310, 540, 11216, 2968, 513, 3463, 607, 11216, 941, 1336, 547, 7519, 519, 8937, 22435, 13302, 519, 4763, 543, 17381, 540, 519, 16063, 26168, 630, 26422, 1696, 620, 269, 476, 1001, 280, 1040, 10765, 2090, 723, 3254, 602, 519, 936, 2224, 540, 26076, 3674, 568, 5532, 547, 513, 3099, 540, 1072, 2175, 267, 711, 1152, 3908, 547, 519, 17522, 540, 519, 8937, 22435, 267, 799, 28901, 1007, 543, 1713, 3106, 4145, 3823, 891, 5061, 563, 5194, 1271, 3815, 568, 519, 936, 268, 639, 720, 540, 26076, 3674, 538, 519, 11361, 2551, 269, 769, 513, 1353, 14236, 519, 946, 540, 26076, 3674, 1851, 8808, 1753, 2550, 538, 519, 7330, 267, 621, 729, 1336, 602, 476, 2767, 260, 540, 8808, 1753, 2550, 941, 1210, 26076, 3674, 630, 305, 2033, 1696, 620, 269, 476, 1001, 278, 1040, 2986, 713, 1482, 2551, 267, 621, 729, 1336, 602, 827, 476, 5392, 260, 540, 891, 1095, 18587, 941, 711, 2963, 1759, 269, 2755, 930, 2090, 723, 711, 3254, 598, 5477, 1239, 610, 723, 3254, 32475, 267, 972, 616, 513, 1297 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

[ 267, 3976, 3850, 513, 4028, 543, 5730, 5114, 547, 7413, 4220, 269, 3414, 713, 11826, 1935, 267, 2949, 8484, 3106, 568, 8476, 267, 3246, 15915, 543, 12284, 609, 4708, 540, 2247, 1282, 19426, 563, 288, 518, 517, 27658, 10250, 1464, 568, 606, 1898, 2460, 585, 3533, 7114, 519, 5169, 540, 2694, 538, 519, 2680, 540, 2042, 610, 13685, 269, 1879, 513, 15059, 4386, 610, 513, 851, 2115, 547, 581, 8719, 267, 621, 568, 2629, 547, 3533, 1205, 547, 519, 2707, 540, 519, 1966, 547, 3313, 519, 2014, 543, 2057, 1022, 24088, 269, 2060, 7098, 517, 27658, 8446, 10824, 267, 1142, 5057, 666, 581, 14360, 689, 922, 5478, 547, 922, 3803, 10380, 593, 519, 8484, 269, 901, 10250, 1464, 12588, 849, 16881, 15324, 5826, 2238, 267, 607, 23390, 666, 2708, 519, 5957, 543, 15237, 540, 2694, 543, 1544, 585, 10682, 1354, 789, 1831, 513, 1761, 1966, 563, 18184, 1841, 543, 6042, 585, 7098, 2246, 923, 10824, 454, 763, 18229, 2872, 568, 1641, 547, 7453, 4441, 543, 6042, 547, 2327, 8184, 3106, 269, 17224, 517, 27658, 8446, 10824, 1404, 513, 1883, 1909, 538, 735, 2391, 609, 891, 4170, 269, 27943, 4703, 267, 971, 607, 519, 28158, 28645, 8881, 10837, 630, 292, 3008, 288, 264, 522, 340, 3288, 8549, 28645, 10029, 630, 293, 8150, 1070, 20818, 4808, 3823, 519, 8446, 543, 10250, 1464, 540, 7098, 517, 27658, 2694, 547, 2327, 602, 3106, 4441, 616, 1558, 563, 27735, 543, 6639, 7835, 540, 8446, 10824, 538, 7098, 517, 2246, 923, 454, 15275, 2305, 10824, 585, 519, 18229, 2872, 616, 1454, 811, 982, 1175, 513, 6003, 269, 1358, 616, 606, 1898, 1907, 547, 2327, 538, 1922, 2775, 10727, 267, 3986, 18229, 3106, 267, 7520, 2694, 10250, 1464, 543, 16783, 609, 7453, 18229, 6042, 269, 8729, 547, 891, 1507, 267, 15739, 564, 24795, 267, 519, 18229, 2872, 666, 7500, 538, 513, 2922, 543, 5150, 1604, 267, 3246, 15915, 543, 12284, 609, 519, 6015, 547, 1491, 547, 519, 22839, 609, 4708, 540, 2247, 563, 4415, 519, 6639, 8441, 4797, 538, 519, 18229, 2872, 267, 2012, 680, 919, 616, 849, 5329, 10605, 609, 5647, 269, 27009, 267, 930, 10824, 6451, 16674, 2839, 630, 20238, 1470, 6363, 15968, 22384, 264, 13365, 799, 1450, 1256, 811, 3608, 2359, 540, 1239, 543, 10250, 1464, 269, 1452, 13365, 1118, 621, 2009, 547, 4558, 513, 1804, 4320, 540, 1344, 593, 1142, 5057, 267, 689, 922, 5663, 547, 922, 946, 538, 8184, 269, 3353, 5974, 543, 5826, 6887, 666, 4061, 3533, 1569, 1898, 1239, 676, 3274, 17655, 519, 16674, 2839, 13863, 267, 3976, 14123, 5826, 543, 5464, 4238, 269, 901, 19427, 540, 2029, 543, 320, 518, 517, 27658, 8446, 2417, 10597, 538, 1922, 2775, 10727, 543, 2337, 2226, 1164, 3106, 4441, 538, 519, 18229, 2872, 563, 258, 28444, 1005, 1948, 1103, 293, 2775, 1948, 9824, 6636, 0, 1492, 979, 3562, 3135, 585, 1565, 827, 1022, 1641, 267, 585, 782, 6502, 543, 1565, 5759, 454, 19322, 24628, 3427, 568, 519, 1655, 3059, 1907, 585, 3450, 543, 1565, 543, 519, 1655, 3059, 1907, 585, 20762, 1565, 563, 10743, 666, 6467, 1063, 1614, 2542, 2157, 585, 1142, 2376, 267, 1224, 519, 2376, 16965, 267, 5873, 2262, 5731, 9629, 725, 543, 1224, 8847, 538, 2296, 1210, 8585, 26713, 268, 31812, 781, 5595, 26487, 8675, 269, 3962, 2376, 666, 849, 581, 12261, 883, 936, 476, 3199, 4654, 563, 5327, 11220, 609, 7820, 6267, 538, 2247, 267, 519, 16504, 1753, 2985, 3091, 3078, 3584, 543, 3750, 2275, 10248, 23877, 547, 948, 1832, 1053, 7722, 269, 17115, 8242, 1543, 2306, 519, 1753, 2985, 519, 3501, 1747, 547, 1265, 2189, 3992, 29945, 543, 4901, 2798, 267, 543, 547, 5337, 924, 2875, 7279, 2336, 763, 5664, 5426, 1753, 2985, 3032, 619, 547, 1647, 1377, 6267, 269, 8249, 666, 581, 1031, 547, 8300, 7279, 267, 4497, 538, 4901, 267, 610, 5000, 4830, 1565, 269, 16952, 2934, 593, 519, 5664, 5426, 1753, 2985, 1331, 519, 11473, 540, 519, 10432, 267, 2311, 5025, 8566, 28917, 4930, 267, 543, 1454, 811, 2336, 32098, 693, 519, 4400, 1377, 568, 2966, 547, 581, 540, 10083, 547, 1053, 538, 4400, 3427, 269, 634, 1753, 2985, 2636, 1053, 547, 4497, 609, 2934, 971, 607, 18044, 12700, 543, 2201, 901, 4303, 269, 4841, 666, 2932, 1382, 543, 1020, 2565, 3206, 1983, 602, 786, 5965, 873, 585, 2852, 543, 513, 4876, 563, 19322, 24628, 3427, 281, 7216, 16504, 3091, 513, 2922, 267, 2085, 29003, 3872, 1604, 547, 8300, 519, 1985, 5108, 540, 5640, 563, 5978, 16022, 8818, 729, 2813, 4481, 585, 1762, 6267, 267, 3246, 513, 1158, 540, 3408, 543, 6602, 693, 741, 31840, 563, 5978, 3810, 2502, 267, 1875, 27395, 4930, 616, 2966, 585, 4098, 3988, 267, 609, 1377, 539, 4930, 585, 1169, 5467, 543, 2067, 8301, 1224, 17038, 3716, 269, 0, 3674, 972, 513, 1293, 1599, 538, 30731, 888, 3674, 972, 513, 1293, 1599, 538, 30731, 888, 288, 815, 1293, 263, 1193, 2073, 1273, 3738, 7024, 519, 1297, 540, 20825, 540, 1273, 538, 1193, 1547, 1403, 1273, 568, 606, 5044, 5627, 2789, 3270, 267, 1287, 1293, 7024, 519, 2040, 540, 519, 20825, 540, 782, 2609, 540, 1273, 538, 1193, 1547, 1293, 13292, 2609, 540, 1273, 538, 1931, 267, 689, 2451, 547, 1318, 269, 7956, 12415, 538, 1193, 666, 1152, 581, 20083, 2899, 563, 1692, 798, 596, 798, 513, 1293, 538, 30731, 888, 17445, 3095, 547, 713, 2626, 454, 268, 589, 815, 314, 272, 476, 273, 476, 274, 476, 275, 476, 276, 563, 268, 476, 272, 476, 273, 476, 274, 476, 276, 476, 277, 563, 268, 476, 278, 476, 273, 476, 275, 476, 274, 476, 276, 30092, 268, 2040, 10490, 263, 281, 264, 2652, 1535, 994, 1432, 568, 30775, 1293, 888, 763, 2910, 7419, 307, 1599, 12523, 519, 1297, 540, 2281, 602, 2270, 2338, 267, 543, 12523, 2338, 1369, 519, 1592, 540, 7440, 269, 2422, 519, 2910, 7419, 307, 1599, 547, 1205, 519, 1297, 540, 13366, 538, 513, 1297, 2361, 602, 568, 538, 513, 2039, 610, 5044, 540, 2338, 563, 1692, 798, 594, 1293, 513, 6241, 538, 30731, 888, 7476, 519, 7089, 540, 2051, 8435, 540, 513, 19336, 538, 30731, 454, 268, 2422, 519, 2450, 3890, 9577, 547, 5192, 519, 7089, 540, 2051, 8435, 540, 513, 19336, 538, 30731, 563, 268, 2422, 519, 3259, 3890, 9577, 547, 5192, 519, 7089, 540, 2051, 8435, 540, 513, 19336, 538, 30731, 563, 1692, 798, 594, 1293, 3197, 538, 513, 5569, 538, 30731, 888, 299, 815, 1193, 26319, 263, 1193, 3738, 7024, 519, 1297, 540, 3197, 538, 1193, 4586, 1692, 798, 594, 1293, 2189, 2418, 538, 30731, 888, 15575, 540, 23433, 15689, 4855, 519, 2189, 2609, 538, 513, 6152, 543, 1287, 946, 7213, 6783, 547, 1293, 519, 1297, 540, 2053, 1142, 2189, 3693, 5526, 269, 8073, 513, 6152, 540, 4351, 9981, 689, 476, 272, 998, 476, 276, 269, 513, 815, 28219, 328, 8443, 272, 476, 276, 3910, 1220, 267, 272, 5148, 4855, 519, 2189, 2609, 538, 519, 6152, 563, 1692, 798, 596, 1711, 513, 4831, 4756, 888, 17730, 513, 22388, 24438, 454, 268, 5153, 476, 272, 281, 8073, 2659, 7726, 269, 5410, 707, 2243, 1826, 799, 568, 2877, 547, 723, 519, 4831, 1759, 1055, 267, 8726, 602, 568, 563, 268, 5153, 476, 273, 281, 8073, 2659, 22388, 24438, 269, 5410, 513, 2048, 306, 17532, 11426, 24438, 20371, 268, 5153, 476, 274, 281, 5410, 20603, 547, 5590, 2659, 22388, 563, 268, 5153, 476, 275, 281, 4530, 563, 268, 5153, 476, 276, 281, 5623, 630, 28436, 994, 1692, 798, 594, 1293, 519, 1297, 540, 3197, 538, 513, 5569, 538, 4223, 18350, 888, 1432, 568, 674, 1293, 538, 4223, 18350, 888, 293, 28029, 568, 513, 20927, 538, 519, 27952, 4159, 585, 1082, 1151, 951, 269, 1280, 606, 1383, 267, 1294, 19873, 28088, 269, 634, 674, 28029, 5526, 538, 519, 3977, 2497, 607, 3977, 269, 30775, 15575, 2073, 7175, 596, 547, 1569, 519, 6268, 1293, 1982, 3901, 1227, 269, 1280, 811, 1344, 267, 1294, 19243, 23113, 563, 1432, 1281, 4032, 320, 20465, 1599, 798, 888, 763, 2910, 7419, 14011, 1599, 12523, 2281, 5627, 1022, 1826, 540, 1344, 267, 1519, 5470, 2418, 543, 8900, 1257, 12462, 26158, 1280, 1383, 267, 952, 519, 2039, 3568, 513, 4542, 602, 7024, 606, 8900, 5569, 267, 519, 2910, 7419, 14011, 1599, 12523, 602, 1871, 269, 634, 2910, 7419, 14011, 1599, 1281, 711, 1293, 8900, 2281, 563, 1692, 798, 594, 1293, 9343, 543, 9587, 538, 30731, 888, 2252, 585, 1383, 707, 5119, 568, 589, 267, 596, 666, 946, 2433, 2450, 10490, 267, 272, 264, 585, 1297, 540, 9343, 269, 2450, 10490, 267, 273, 264, 585, 1297, 540, 9587, 563, 1692, 798, 596, 1293, 9343, 543, 9587, 888, 9617, 4945, 519, 6241, 20927, 269, 634, 4567, 3046, 267, 538, 519, 2539, 28878, 7944, 540, 707, 9185, 6885, 267, 786, 2995, 596, 519, 4737, 1293, 269, 1684, 519, 1482, 3364, 547, 1293, 9587, 267, 855, 713, 942, 4945, 519, 4737, 2824, 528, 693, 519, 2451, 1439, 540, 519, 4737, 269, 1403, 596, 2824, 606, 3003, 4737, 610, 6241, 267, 9185, 12523, 1175, 519, 2281, 602, 2270, 1239, 563, 1692, 798, 594, 1293, 519, 1297, 540, 3197, 538, 513, 5569, 888, 5194, 1259, 547, 1293, 782, 519, 3197, 538, 513, 5569, 568, 547, 946, 519, 21642, 269, 1347, 338, 14061, 1293, 3890, 1505, 602, 7024, 519, 2698, 1297, 540, 3197, 538, 519, 5569, 267, 855, 1519, 16543, 335, 2167, 563, 1692, 798, 596, 1293, 519, 1297, 540, 20825, 538, 513, 5569, 888, 5575, 267, 649, 8237, 519, 5569, 676, 5624, 538, 513, 269, 3973, 267, 1491, 513, 4756, 1293, 815, 476, 271, 543, 538, 1169, 3020, 2783, 649, 27261, 519, 1293, 676, 476, 272, 269, 3767, 2196, 513, 8520, 693, 476, 271, 547, 3259, 540, 5569, 543, 2638, 952, 938, 5569, 568, 3160, 547, 519, 2262, 563, 1692, 798, 596, 1293, 519, 1297, 540, 2609, 538, 606, 5044, 888, 2414, 1293, 519, 20825, 540, 1142, 3693, 538, 606, 5044, 281, 2422, 519, 585, 2507, 1993, 8520, 547, 621, 4733, 936, 519, 5044, 269, 2201, 1142, 21767, 267, 27261, 519, 1293, 585, 519, 1808, 3693, 952, 621, 6818, 538, 519, 1843, 610, 1305, 519, 1293, 540, 519, 3693, 547, 476, 272, 952, 621, 3085, 1406, 563, 1432, 568, 886, 1599, 30731, 888, 20373, 269, 1383, 269, 962, 815, 886, 263, 2473, 3738, 21410, 3604, 1063, 11105, 2609, 540, 2473, 2059, 519, 1101, 5044, 10155, 4171, 2450, 1281, 711, 3160, 476, 272, 281, 1403, 2473, 568, 513, 6152, 540, 3259, 544, 2073, 1287, 962, 815, 886, 11583, 264, 7024, 513, 6152, 540, 3259, 544, 268, 272, 1547, 634, 2609, 540, 962, 616, 519, 3604, 1063, 11105, 2609, 540, 2473, 4586, 1432, 568, 513, 4831, 4756, 888, 288, 4831, 4756, 538, 10084, 568, 513, 2027, 1826, 540, 4756, 799, 568, 1031, 538, 519, 8520, 547, 1293, 519, 10221, 1431, 610, 547, 917, 827, 538, 799, 17279, 649, 616, 538, 269, 769, 2241, 1913, 267, 513, 4831, 4756, 568, 513, 4756, 602, 8952, 3950, 540, 519, 1297, 540, 2053, 513, 1808, 4062, 540, 3009, 568, 13401, 563, 1432, 1281, 703, 1293, 798, 888, 10190, 1293, 568, 513, 3959, 540, 715, 15551, 17014, 26161, 602, 7024, 519, 1297, 540, 3615, 8659, 676, 519, 5044, 269, 1924, 519, 1899, 538, 2243, 3081, 1205, 519, 1297, 540, 3688, 538, 519, 1699, 3236, 540, 715, 15551, 17014, 26161, 543, 4558, 602, 538, 513, 4756, 3957, 968, 12248, 892, 540, 1826, 703, 269, 703, 1293, 815, 1496, 1345, 1293, 30092, 1432, 568, 674, 2381, 14142, 1031, 585, 888, 325, 2381, 14142, 1599, 568, 835, 540, 519, 1034, 1271, 1599, 602, 568, 1031, 538, 4223, 18350, 547, 1265, 519, 5934, 1871, 540, 519, 1599, 543, 621, 7024, 513, 22185, 1871, 1141, 519, 3177, 11378, 666, 581, 538, 519, 1106, 540, 5119, 610, 6152, 563, 1432, 568, 8668, 2207, 538, 4223, 18350, 888, 7072, 269, 634, 27952, 4159, 568, 513, 3349, 540, 7194, 10503, 519, 9273, 538, 1142, 21767, 540, 513, 24626, 269, 634, 7194, 4096, 593, 1312, 519, 24626, 543, 519, 24626, 5690, 269, 634, 3349, 5526, 538, 519, 30731, 10378, 16710, 32001, 950, 596, 2196, 1151, 951, 609, 3617, 3681, 563, 1432, 568, 519, 3017, 1063, 1293, 20465, 543, 4032, 320, 20465, 888, 763, 2910, 7419, 307, 1599, 568, 3622, 1031, 547, 1293, 513, 2039, 540, 2281, 5627, 2338, 610, 7389, 27195, 1025, 3471, 269, 2910, 7419, 14011, 267, 593, 519, 824, 1688, 786, 1293, 3388, 2507, 2338, 267, 7389, 267, 1257, 610, 513, 2039, 5627, 513, 7848, 540, 891, 3688, 267, 855, 1281, 711, 1293, 10145 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

[ 269, 13336, 666, 581, 513, 15293, 269, 13336, 666, 581, 513, 851, 540, 596, 602, 8060, 4555, 543, 4606, 269, 2659, 6891, 666, 581, 899, 707, 9997, 269, 13336, 666, 581, 707, 15131, 610, 8990, 269, 898, 666, 581, 707, 7099, 269, 1703, 616, 1082, 267, 1082, 8847, 563, 763, 1259, 596, 1174, 519, 2262, 834, 338, 2869, 527, 257, 1223, 4096, 593, 707, 4282, 269, 898, 849, 814, 513, 2603, 547, 798, 609, 707, 2528, 610, 707, 4984, 269, 634, 2262, 834, 338, 2869, 527, 257, 814, 1114, 10096, 585, 1004, 543, 1223, 723, 513, 2027, 2495, 585, 596, 563, 298, 573, 306, 2869, 527, 4280, 1647, 1153, 1053, 1018, 519, 2262, 834, 338, 2869, 527, 257, 1797, 547, 873, 269, 1306, 649, 4283, 519, 9702, 4005, 267, 649, 4941, 547, 2671, 930, 540, 519, 7096, 6835, 649, 941, 2366, 827, 1018, 621, 1797, 547, 581, 1480, 269, 3371, 616, 930, 540, 741, 6114, 912, 28494, 2869, 527, 281, 3054, 543, 707, 9909, 269, 2659, 4295, 1582, 4799, 21202, 1747, 3330, 3054, 1141, 596, 1810, 1405, 723, 547, 581, 4896, 610, 723, 606, 3239, 4840, 28494, 2869, 527, 568, 1373, 10704, 543, 2348, 513, 4276, 609, 3388, 1472, 596, 4799, 19285, 1589, 6891, 1797, 2348, 6015, 538, 3054, 1256, 952, 824, 1004, 1810, 1405, 723, 6015, 538, 596, 269, 594, 849, 1589, 621, 1797, 547, 723, 11348, 538, 3054, 4799, 28494, 2869, 527, 568, 711, 1373, 538, 513, 9602, 1747, 609, 1100, 960, 543, 1100, 2566, 4534, 621, 568, 1373, 538, 519, 22984, 540, 891, 1919, 543, 1869, 1373, 2111, 547, 1745, 4708, 4799, 19285, 1589, 6891, 1797, 513, 1268, 781, 1166, 1515, 281, 1018, 3947, 1142, 1268, 741, 7209, 543, 2306, 3025, 1114, 689, 1142, 824, 4799, 257, 2414, 581, 1863, 610, 1577, 979, 540, 1945, 4799, 257, 2414, 711, 2285, 909, 543, 547, 1265, 519, 1769, 538, 4376, 596, 798, 269, 1677, 3494, 538, 1272, 543, 3054, 543, 4376, 596, 3801, 4799, 257, 2304, 796, 5408, 762, 3196, 602, 3123, 1648, 543, 8788, 538, 835, 1373, 4799, 28494, 2869, 527, 568, 1373, 3020, 543, 13991, 547, 707, 19647, 267, 1256, 952, 596, 2811, 19849, 21724, 4799, 19285, 1589, 6891, 1797, 7772, 543, 10761, 4799, 10454, 9759, 540, 1272, 3294, 267, 707, 2898, 6418, 1373, 269, 10705, 596, 786, 581, 18056, 540, 2576, 543, 1589, 540, 741, 3068, 269, 4256, 3068, 610, 1560, 568, 8806, 707, 9997, 781, 10151, 2777, 269, 594, 849, 3494, 602, 513, 9997, 786, 2661, 593, 267, 1256, 950, 707, 1560, 1163, 2231, 4799, 257, 22091, 7675, 3054, 256, 1548, 2306, 596, 1018, 596, 616, 269, 1411, 616, 6891, 30882, 19285, 1589, 6891, 1797, 2141, 18468, 538, 1018, 568, 1271, 547, 596, 267, 1100, 2339, 875, 3983, 519, 12918, 616, 4799, 257, 2691, 2576, 11099, 538, 1945, 789, 1397, 6891, 269, 898, 1522, 711, 1611, 3478, 856, 707, 533, 558, 1790, 1682, 543, 3597, 532, 585, 707, 5172, 5026, 2319, 267, 855, 621, 1797, 6029, 8296, 538, 707, 1378, 3860, 1259, 30882, 28494, 2869, 527, 4534, 14017, 547, 519, 2295, 4799, 257, 29670, 707, 1272, 519, 1259, 596, 917, 568, 1318, 543, 18245, 519, 3047, 543, 782, 922, 7068, 4799, 28494, 2869, 527, 281, 1373, 3054, 4799, 10454, 6418, 1412, 299, 9281, 292, 262, 540, 707, 1560, 269, 634, 4555, 267, 4606, 543, 519, 5079, 596, 1118, 4799, 28494, 2869, 3770, 4534, 519, 967, 525, 4933, 762, 4743, 540, 4276, 609, 3388, 543, 4986, 269, 6936, 1025, 1170, 267, 20057, 1194, 2055, 543, 519, 3460, 547, 1265, 519, 2626, 269, 3267, 674, 2391, 267, 543, 2943, 513, 2620, 4276, 609, 519, 2666, 269, 25925, 602, 568, 2938, 609, 1100, 4064, 543, 5433, 609, 1100, 3946, 269, 3267, 634, 19957, 2243, 543, 519, 3768, 18249, 2626, 281, 519, 17714, 4799, 28494, 2869, 527, 568, 513, 7623, 7848, 540, 782, 4664, 269, 898, 568, 519, 4508, 1881, 2648, 543, 23998, 23953, 883, 519, 12826, 540, 1272, 267, 2059, 609, 8296, 543, 1416, 16531, 269, 898, 568, 6404, 609, 519, 22635, 540, 16236, 267, 543, 6039, 883, 519, 4837, 540, 6612, 269, 13336, 568, 1272, 543, 1272, 568, 5289, 1701, 0, 288, 7811, 7650, 540, 8210, 4777, 30322, 534, 779, 24616, 281, 634, 3390, 540, 1719, 19899, 3175, 454, 906, 538, 782, 519, 10456, 543, 4886, 9549, 630, 288, 298, 9549, 264, 5712, 269, 1280, 3236, 267, 519, 13735, 5385, 2557, 543, 2407, 2883, 22371, 616, 1079, 10781, 602, 786, 2417, 15052, 538, 519, 1007, 1062, 269, 1284, 786, 849, 1118, 873, 1599, 538, 513, 8902, 1259, 269, 4634, 1498, 649, 723, 15091, 713, 1586, 543, 1586, 267, 930, 20982, 3765, 326, 643, 902, 827, 519, 3390, 6414, 563, 12024, 3772, 267, 519, 6898, 1500, 676, 8210, 4777, 30322, 534, 593, 1719, 19899, 3175, 1894, 941, 849, 25302, 676, 513, 5786, 626, 1935, 269, 589, 2603, 540, 20060, 1619, 568, 21883, 267, 2469, 607, 2484, 607, 547, 2161, 602, 519, 7022, 779, 2804, 6898, 723, 1100, 1747, 538, 2804, 3069, 543, 789, 616, 1018, 789, 1289, 1875, 27360, 564, 269, 2913, 803, 1101, 12172, 713, 3390, 281, 6164, 532, 891, 6898, 607, 4485, 799, 2047, 2491, 519, 3232, 267, 1699, 13075, 3609, 609, 513, 5786, 626, 1935, 568, 1463, 2804, 22293, 267, 1256, 952, 621, 568, 711, 21354, 5497, 269, 8210, 4777, 30322, 534, 779, 6898, 616, 1759, 593, 1079, 2596, 5013, 563, 5575, 267, 7835, 602, 3576, 1747, 538, 519, 2518, 4346, 609, 519, 476, 1220, 279, 6433, 723, 9788, 11953, 519, 28919, 540, 2757, 3069, 269, 5822, 267, 10637, 568, 513, 12343, 602, 1281, 711, 10836, 593, 519, 3747, 2427, 4805, 538, 3384, 2477, 899, 11894, 267, 855, 10637, 267, 799, 568, 513, 7293, 1966, 267, 568, 513, 1942, 2861, 12343, 563, 296, 337, 1324, 17384, 630, 5908, 278, 268, 3707, 278, 264, 568, 519, 4651, 540, 519, 2596, 1935, 602, 6941, 519, 1719, 10637, 6935, 540, 519, 2757, 3069, 594, 5018, 1657, 269, 17384, 6941, 519, 3830, 1063, 519, 22194, 1719, 2557, 267, 610, 1483, 1719, 267, 543, 10637, 609, 713, 4542, 269, 1775, 512, 284, 678, 512, 266, 661, 512, 512, 266, 272, 454, 2080, 267, 1775, 512, 543, 678, 512, 3277, 547, 22194, 543, 1483, 1719, 3928, 267, 6606, 267, 585, 513, 1978, 512, 1974, 269, 18264, 512, 266, 272, 1797, 519, 4397, 10637, 538, 519, 1985, 1974, 563, 2026, 2938, 538, 519, 3830, 267, 519, 2040, 540, 519, 1483, 1719, 2557, 543, 519, 4397, 10637, 538, 606, 4346, 7472, 519, 22194, 1719, 2557, 269, 22353, 267, 606, 2333, 538, 519, 22194, 1719, 2557, 896, 519, 13429, 602, 519, 1483, 1719, 2557, 568, 3586, 538, 519, 1279, 2196, 1797, 606, 2333, 538, 519, 20772, 540, 10637, 538, 519, 4346, 269, 769, 2110, 267, 972, 568, 513, 2312, 2318, 9756, 1063, 1719, 3928, 543, 10637, 538, 519, 1279, 2196, 267, 2687, 547, 519, 17384, 3830, 563, 3383, 267, 1577, 803, 2307, 519, 1739, 2243, 281, 6736, 713, 1034, 2596, 3830, 540, 519, 12550, 4346, 2443, 1775, 4318, 1421, 950, 519, 1719, 2557, 543, 10637, 1847, 538, 519, 1482, 4287, 2443, 1946, 814, 519, 2596, 13075, 3609, 540, 3844, 8492, 1044, 3257, 519, 3169, 6587, 585, 1082, 1296, 286, 769, 824, 1913, 267, 1946, 798, 3844, 8492, 1246, 519, 2619, 540, 19482, 1719, 3928, 547, 2539, 10637, 286, 634, 2601, 543, 519, 2626, 585, 713, 568, 1360, 2312, 281, 3245, 519, 476, 3192, 271, 338, 593, 1189, 267, 519, 772, 2529, 269, 814, 1044, 22745, 519, 535, 9332, 13362, 267, 519, 2596, 15395, 9304, 267, 547, 519, 2344, 269, 9747, 267, 2094, 1287, 267, 10637, 814, 1044, 4330, 607, 513, 13075, 7613, 4805, 267, 543, 3844, 8492, 723, 13175, 9117, 3544, 519, 2596, 17384, 3830, 269, 21452, 267, 1395, 564, 30658, 543, 3223, 2106, 14198, 4485, 267, 519, 1079, 10546, 19946, 540, 13416, 9297, 267, 1312, 1118, 519, 17384, 1226, 2787, 513, 4909, 5057, 540, 741, 6436, 543, 782, 8044, 602, 621, 568, 18633, 563, 2690, 3236, 267, 1577, 721, 8263, 602, 519, 3844, 4871, 8952, 519, 22194, 1719, 2557, 6378, 693, 513, 1978, 1377, 269, 4340, 547, 3223, 2106, 14198, 543, 1395, 564, 30658, 5784, 267, 538, 713, 2013, 267, 1739, 513, 1507, 6175, 610, 2333, 538, 10637, 267, 513, 1219, 3175, 776, 18700, 610, 10637, 776, 18700, 19674, 936, 942, 269, 4475, 267, 519, 3844, 4871, 1590, 8362, 4383, 519, 1719, 2557, 538, 1931, 547, 2057, 891, 17559, 7653, 269, 901, 2259, 568, 21739, 1759, 593, 519, 13177, 6240, 538, 2413, 13075, 3609, 269, 634, 13177, 6240, 3081, 602, 519, 3844, 4871, 1058, 6318, 538, 268, 512, 1573, 3928, 676, 811, 982, 476, 272, 2600, 952, 10637, 14380, 676, 476, 272, 2600, 269, 22353, 267, 950, 10637, 6238, 547, 4473, 267, 519, 3844, 4871, 1058, 2333, 1719, 3928, 6385, 543, 20406, 267, 543, 952, 621, 6238, 9991, 267, 621, 1058, 2569, 621, 1586, 563, 1607, 2596, 855, 25768, 1935, 729, 2907, 535, 1023, 1881, 609, 519, 476, 1220, 279, 6433, 563, 4415, 519, 6433, 267, 3844, 8492, 540, 2919, 2477, 6385, 22485, 1719, 3928, 543, 4642, 1719, 729, 2322, 883, 1198, 269, 634, 3483, 1934, 568, 547, 8488, 513, 21748, 269, 3767, 267, 2687, 547, 17384, 267, 952, 519, 22194, 1719, 2557, 8813, 543, 3788, 7123, 972, 267, 519, 4397, 10637, 786, 581, 1970, 543, 519, 1483, 1719, 2557, 786, 979, 909, 269, 11569, 267, 2942, 1719, 814, 1279, 1044, 538, 3384, 2477, 269, 769, 713, 2013, 267, 2094, 519, 1164, 1483, 1719, 2557, 786, 2417, 6175, 519, 2698, 3747, 267, 21748, 786, 581, 17149, 269, 901, 568, 513, 30380, 4783, 543, 1797, 519, 5821, 540, 2757, 3069, 269, 1306, 513, 2339, 540, 1249, 267, 8210, 4777, 30322, 534, 5795, 1367, 1806, 540, 2477, 538, 1010, 4633, 538, 519, 772, 14389, 269, 543, 3379, 519, 22194, 1719, 19899, 3175, 3928, 538, 891, 2477, 547, 2243, 519, 1483, 1719, 2557, 269, 2311, 713, 1360, 1448, 267, 649, 616, 6998, 1946, 2919, 11615, 267, 2523, 538, 519, 772, 2529, 1421, 3112, 9101, 519, 21748, 5103, 519, 11050, 1574, 532, 630, 304, 292, 1040, 1358, 3112, 9101, 1317, 789, 616, 538, 513, 30380, 5858, 1141, 13075, 3435, 616, 23380, 269, 1717, 267, 519, 3169, 6587, 10039, 547, 3384, 2477, 563, 4913, 267, 972, 723, 849, 1044, 2919, 6422, 3631, 267, 1572, 32286, 6363, 8718, 1014, 267, 799, 2161, 1719, 2557, 554, 10105, 786, 5612, 1291, 547, 10637, 610, 3833, 6587, 4539, 269, 1280, 3236, 267, 1851, 1007, 22831, 2090, 267, 5617, 599, 326, 528, 617, 1299, 9603, 12027, 630, 1220, 280, 264, 543, 10011, 601, 20692, 26785, 1299, 5080, 4815, 630, 1001, 271, 264, 10567, 1007, 268, 11390, 2106, 14198, 6422, 2625, 8494, 2065, 11466, 3631, 543, 1336, 602, 10637, 786, 4473, 5612, 607, 513, 1267, 540, 606, 2333, 538, 1719, 3928, 269, 13536, 267, 5576, 18283, 8566, 549, 515, 1299, 772, 11171, 630, 1001, 273, 264, 689, 12052, 2160, 2919, 513, 2203, 1759, 593, 18746, 14461, 13848, 543, 13177, 15178, 1719, 2557, 4341, 267, 6029, 602, 10637, 1223, 581, 6659, 676, 9870, 519, 1719, 2557, 952, 519, 22194, 1719, 2557, 568, 4642, 269, 634, 2856, 602, 519, 1719, 2557, 19899, 3175, 2078, 568, 7123, 814, 849, 1044, 5051, 6829, 1851, 3844, 4871, 619, 538, 2487, 1296, 563, 2690, 3236, 267, 8549, 15944, 7813, 540, 3687, 928, 24550, 5518, 23902, 27011, 918, 665, 615, 331, 18235, 630, 1001, 271, 264, 1767, 1282, 606, 1271, 4633, 602, 513, 1970, 16074, 1719, 2557, 1131, 1291, 547, 13455, 543, 1970, 7400, 1219, 3175, 269, 11088, 267, 8549, 15944, 540, 853, 269, 8402, 5518, 6276, 18409, 731, 630, 1001, 276, 264, 7150, 602, 513, 6378, 1719, 2557, 3609, 568, 513, 10853, 7872, 543, 602, 267, 952, 519, 1970, 1719, 2557, 268, 869, 10637, 3510, 26251, 267, 10054, 3823, 519, 8647, 540, 519, 13075, 3609, 538, 519, 772, 2529, 269, 949, 991, 547, 581, 15428, 563, 3080, 540, 519, 1034, 4359, 543, 3102, 540, 519, 32286, 6363, 8718, 1014, 2090, 729, 5342, 676, 3627, 3213, 577, 8735, 630, 1001, 277, 264, 689, 18628, 2160, 269, 769, 713, 1353, 267, 3213, 577, 8735, 1101, 3323, 856, 689, 519, 3044, 32286, 268, 11390, 2106, 14198, 12550, 11296, 2203, 543, 1336, 602, 519, 1034, 2596, 2203, 538, 2413, 12550, 31754, 2982, 513, 2318, 2078, 1063, 22194, 1719, 2557, 543, 10637, 563, 296, 917, 602, 782, 540, 713, 568, 2484, 3564, 519, 23451, 540, 513, 6241, 269, 1809, 594, 1185, 547, 269 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

[ 2361, 269, 634, 1570, 1058, 581, 2143, 543, 2219, 4538, 269, 0, 2026, 596, 2263, 707, 1007, 10450, 267, 649, 1616, 547, 948, 596, 6330, 835, 2629, 2460, 540, 1480, 5872, 281, 17539, 780, 13014, 1575, 568, 513, 8748, 1907, 602, 666, 3986, 707, 2067, 2934, 543, 5818, 6015, 269, 1717, 267, 621, 781, 1898, 547, 1451, 875, 547, 946, 621, 20617, 547, 2057, 11566, 1866, 630, 663, 3054, 14386, 609, 1932, 1454, 1587, 269, 5213, 1405, 5855, 282, 649, 4312, 3893, 596, 4988, 2439, 1103, 713, 3102, 3391, 267, 649, 3513, 3802, 596, 998, 519, 3268, 547, 4487, 519, 1148, 540, 11029, 2943, 2500, 17539, 3498, 780, 1262, 3721, 476, 272, 281, 13760, 5274, 11120, 658, 17972, 4373, 6524, 11362, 883, 17539, 267, 1577, 781, 1205, 5432, 609, 519, 9238, 540, 1480, 11132, 14169, 269, 589, 6093, 1480, 3068, 5161, 540, 1384, 265, 28438, 281, 5565, 17031, 8219, 3743, 585, 7487, 267, 4092, 593, 2901, 2427, 540, 519, 9224, 563, 265, 16685, 321, 4900, 281, 670, 8543, 31393, 1657, 519, 4064, 602, 5351, 538, 4082, 543, 4027, 689, 17570, 563, 265, 715, 846, 281, 634, 3844, 4183, 1031, 585, 7244, 543, 1159, 2454, 563, 265, 631, 1926, 281, 1323, 6679, 2630, 519, 9224, 1141, 3425, 3548, 267, 4235, 267, 543, 5968, 8231, 958, 563, 265, 16164, 281, 634, 9018, 4494, 8720, 519, 3003, 1560, 267, 1519, 519, 3068, 780, 4322, 2934, 960, 1927, 547, 6655, 4664, 267, 2769, 4555, 267, 543, 1711, 2189, 9163, 780, 1262, 3721, 476, 273, 281, 6258, 6168, 5269, 1575, 17943, 4373, 3086, 602, 596, 917, 519, 2482, 540, 519, 2244, 630, 528, 1058, 649, 2161, 267, 3068, 256, 1070, 1577, 781, 6338, 596, 547, 930, 4909, 17539, 2035, 1384, 265, 2878, 290, 657, 27027, 4995, 15733, 4294, 547, 519, 2960, 547, 7369, 610, 3986, 922, 5920, 563, 265, 2878, 28062, 566, 4995, 589, 5277, 267, 8645, 267, 610, 8869, 3490, 602, 13292, 707, 2960, 3159, 547, 1256, 856, 1950, 542, 563, 265, 2878, 3519, 576, 29993, 4995, 774, 1157, 518, 982, 5748, 267, 1031, 547, 3382, 1808, 20541, 687, 899, 6926, 332, 8460, 610, 4158, 10580, 896, 519, 4064, 563, 265, 2878, 303, 32535, 4995, 589, 6037, 1075, 550, 6219, 4259, 519, 5748, 543, 10703, 29993, 1247, 9013, 19542, 563, 265, 2878, 292, 13433, 17495, 578, 4995, 28522, 7757, 32340, 610, 1212, 4461, 4294, 547, 519, 22442, 1749, 547, 1039, 2681, 543, 3178, 563, 265, 2878, 300, 2444, 4673, 4995, 589, 18389, 18396, 730, 4542, 561, 1263, 28517, 543, 5394, 2287, 22442, 10449, 563, 265, 2878, 299, 760, 22496, 270, 10908, 1601, 20324, 531, 332, 4995, 7822, 995, 6878, 3289, 7992, 543, 7718, 908, 519, 17534, 780, 10673, 1405, 1745, 16397, 676, 891, 2474, 1107, 649, 3513, 2736, 873, 1524, 2417, 607, 649, 979, 2059, 2439, 1262, 3721, 476, 274, 281, 16259, 2659, 8131, 4373, 6524, 7311, 17539, 267, 2327, 707, 2960, 568, 2973, 543, 4712, 585, 2472, 1384, 265, 25169, 707, 3946, 8499, 609, 12853, 543, 1216, 547, 2061, 22151, 4551, 547, 707, 3068, 563, 265, 2422, 9543, 18274, 619, 14018, 547, 707, 2960, 1826, 630, 7538, 267, 3819, 267, 522, 1176, 267, 4999, 264, 547, 4894, 13897, 267, 3282, 267, 543, 23606, 563, 265, 4793, 707, 3068, 3819, 609, 513, 2571, 24621, 267, 9319, 10792, 27012, 20517, 563, 265, 15233, 513, 17426, 5848, 584, 6500, 547, 1832, 707, 2960, 19872, 543, 726, 2794, 780, 1607, 3341, 960, 5036, 519, 3942, 585, 513, 5347, 267, 6899, 17539, 1995, 780, 1262, 3721, 476, 275, 281, 3399, 609, 513, 7849, 12476, 4373, 11742, 547, 4019, 5748, 543, 10703, 29993, 256, 7427, 891, 4808, 1384, 265, 7994, 513, 5748, 12094, 12805, 707, 2067, 2960, 3159, 269, 4530, 5439, 593, 707, 10265, 1467, 547, 1265, 519, 3501, 6474, 563, 265, 4635, 513, 5748, 11453, 267, 5898, 1025, 2658, 267, 610, 11263, 267, 9900, 11100, 513, 1507, 2179, 5196, 707, 30432, 267, 1750, 4060, 267, 24060, 267, 543, 9224, 269, 4518, 689, 4099, 547, 8728, 267, 13692, 532, 519, 1587, 21286, 563, 265, 1230, 576, 531, 1022, 18476, 6926, 332, 8460, 267, 4158, 9634, 267, 610, 25017, 1210, 10703, 29993, 269, 29961, 513, 6263, 2179, 2047, 5196, 519, 1858, 543, 1273, 621, 538, 609, 707, 8258, 9416, 780, 8855, 267, 1447, 568, 811, 693, 713, 3942, 256, 1411, 1616, 547, 1413, 899, 596, 2811, 9849, 1100, 17539, 693, 782, 1107, 1175, 8476, 267, 32689, 2960, 780, 1262, 3721, 476, 276, 281, 28389, 2659, 28438, 4373, 4131, 781, 3142, 3007, 547, 1346, 4190, 890, 788, 619, 2439, 265, 8564, 4064, 17495, 3298, 602, 9148, 707, 3750, 2681, 912, 453, 266, 9791, 270, 13582, 4064, 281, 3026, 23018, 18707, 899, 13084, 27158, 267, 581, 15607, 267, 610, 1769, 6960, 454, 453, 266, 9466, 10774, 1794, 601, 4064, 281, 24953, 18565, 971, 607, 4154, 267, 19730, 267, 610, 7601, 454, 453, 266, 22630, 4882, 559, 591, 4064, 281, 9941, 533, 3855, 267, 20662, 11367, 267, 610, 15137, 344, 1178, 903, 454, 265, 15233, 513, 1769, 267, 782, 27492, 4064, 17495, 578, 3490, 593, 707, 19984, 267, 4358, 689, 561, 1662, 1899, 547, 1212, 848, 269, 2349, 754, 1134, 2336, 265, 5410, 4214, 609, 513, 5420, 268, 2023, 539, 14692, 593, 519, 1212, 848, 267, 16471, 16057, 543, 21286, 4724, 519, 536, 992, 5642, 563, 265, 7412, 707, 5580, 561, 1662, 1899, 609, 513, 15513, 610, 5277, 561, 10719, 267, 8220, 519, 15956, 1063, 561, 10449, 585, 513, 15774, 1413, 563, 265, 3213, 520, 707, 561, 10449, 609, 544, 2444, 4673, 267, 530, 24513, 1782, 519, 18389, 689, 3490, 547, 9133, 547, 5094, 543, 5581, 1367, 24827, 780, 16605, 538, 2247, 267, 519, 3804, 568, 11029, 1399, 269, 3680, 20358, 532, 707, 561, 1749, 609, 2789, 4778, 610, 5230, 3156, 780, 1262, 3721, 476, 277, 281, 16294, 2659, 645, 4900, 4373, 294, 3336, 539, 32071, 4900, 7406, 707, 3068, 543, 1039, 1915, 1384, 265, 5696, 2313, 707, 8202, 20733, 543, 856, 2072, 1210, 513, 838, 944, 773, 610, 2036, 547, 1033, 4120, 543, 3337, 563, 265, 19130, 23661, 2127, 610, 18534, 1901, 19514, 8202, 1210, 513, 536, 992, 15513, 610, 533, 558, 1228, 20083, 547, 707, 2067, 4552, 2681, 563, 265, 10395, 4430, 1587, 1055, 519, 838, 944, 773, 1354, 4881, 621, 998, 707, 8202, 1586, 547, 1305, 519, 3337, 780, 307, 877, 855, 3989, 8202, 786, 21592, 707, 2949, 1413, 1510, 5373, 3007, 2476, 689, 824, 2934, 780, 1262, 3721, 476, 278, 281, 5410, 513, 7377, 540, 7822, 547, 2659, 700, 2354, 4373, 19226, 880, 2178, 609, 9067, 1416, 543, 23732, 1384, 265, 7720, 626, 584, 1125, 707, 17534, 609, 513, 16138, 5109, 2545, 332, 610, 669, 777, 22496, 563, 265, 7994, 9067, 22496, 267, 17953, 267, 610, 2545, 332, 18707, 647, 1746, 707, 2123, 6492, 543, 2960, 896, 2023, 525, 912, 453, 266, 15346, 18565, 281, 25968, 2861, 18707, 454, 453, 266, 24953, 18565, 281, 21060, 30819, 3641, 2861, 18707, 454, 265, 15233, 9067, 2681, 5402, 267, 1739, 519, 2067, 7455, 540, 707, 5023, 269, 2349, 582, 4430, 1587, 609, 513, 5160, 585, 513, 811, 2067, 9096, 780, 288, 574, 585, 513, 2635, 23302, 1352, 523, 2864, 982, 12050, 267, 6505, 6898, 780, 1262, 763, 15937, 29110, 2583, 4373, 2791, 1705, 621, 256, 3767, 267, 1491, 513, 1900, 1394, 543, 2708, 707, 1688, 328, 1740, 1384, 265, 6744, 952, 707, 17539, 5654, 7059, 543, 18900, 269, 5269, 11941, 952, 2556, 563, 265, 5590, 3388, 538, 1747, 609, 513, 1769, 7452, 532, 540, 8869, 2066, 707, 3068, 267, 2519, 593, 570, 22271, 821, 2127, 630, 1150, 3650, 267, 9224, 267, 24060, 1916, 265, 6875, 2620, 24967, 543, 6001, 1107, 596, 2811, 1631, 23242, 513, 10875, 267, 896, 26061, 1413, 602, 22842, 707, 2189, 2934, 2439, 2026, 596, 3136, 3695, 713, 6909, 4541, 267, 3314, 281, 17539, 1058, 3986, 707, 2067, 5898, 267, 711, 936, 12741, 621, 269, 6657, 2306, 3501, 267, 865, 1810, 1405, 581, 12922, 547, 4603, 543, 13217, 707, 1983, 269, 8080, 547, 519, 1158, 540, 17539, 17117, 267, 3659, 256, 0, 2237, 513, 1279, 543, 1360, 2143, 5850, 593, 834, 22879, 3683, 4777, 532, 2659, 5269, 1575, 257, 538, 519, 2511, 540, 14392, 547, 606, 9813, 3957, 7585, 945, 1175, 15354, 593, 3047, 543, 814, 4642, 1702, 540, 519, 1158, 543, 1480, 4205, 269, 3417, 538, 3829, 3137, 585, 1142, 1900, 543, 782, 519, 2596, 1344, 827, 519, 2168, 543, 1480, 4205, 3238, 269, 1684, 711, 1289, 7585, 606, 9813, 269, 0, 2878, 16215, 476, 277, 281, 634, 9214, 323, 1043, 20607, 9737, 18972, 543, 12292, 4373, 5970, 596, 2479, 1185, 513, 4620, 602, 8604, 547, 1174, 596, 1732, 982, 4896, 3116, 286, 5620, 596, 2479, 5433, 899, 707, 4620, 1223, 2965, 1224, 707, 4664, 543, 4431, 9935, 286, 1403, 865, 267, 596, 1522, 581, 5196, 1945, 256, 3683, 519, 1296, 267, 3744, 723, 4362, 602, 972, 568, 513, 3532, 6125, 1063, 3425, 543, 2831, 269, 901, 6125, 4422, 3564, 1175, 31070, 1107, 621, 666, 4125, 2792, 267, 6568, 267, 543, 1256, 3929, 1489, 269, 2913, 781, 2263, 930, 4241, 1806, 540, 875, 3425, 543, 2831, 2170, 609, 1142, 824, 2439, 1262, 29248, 4331, 538, 12292, 4373, 3080, 5863, 2460, 540, 1480, 12845, 2711, 3347, 568, 519, 2702, 540, 2831, 547, 1397, 6568, 2509, 741, 1480, 13413, 269, 1411, 949, 723, 4862, 2984, 827, 5243, 945, 3100, 547, 917, 950, 741, 8227, 568, 8909, 610, 13347, 267, 543, 1287, 4313, 873, 269, 1809, 1705, 596, 917, 602, 824, 2831, 666, 849, 8858, 28450, 2623, 2496, 2690, 1383, 267, 19246, 616, 1634, 585, 741, 2178, 1514, 7554, 543, 28450, 2470, 269, 1879, 835, 4759, 540, 606, 17707, 23636, 568, 13676, 610, 1253, 5962, 267, 1866, 786, 5531, 1472, 543, 2119, 547, 948, 269, 1358, 949, 5905, 519, 10413, 1858, 9900, 609, 741, 959, 16218, 610, 1256, 4584, 909, 519, 13676, 17707, 952, 2556, 269, 18479, 17100, 666, 849, 5431, 1480, 9739, 543, 11132, 7215, 267, 799, 5267, 602, 789, 4865, 4359, 5042, 5759, 2147, 547, 1346, 540, 28516, 780, 5194, 3662, 4583, 585, 922, 26003, 545, 7907, 568, 519, 18107, 514, 269, 667, 20462, 1231, 2661, 538, 1950, 7239, 1141, 9316, 543, 16542, 616, 2629, 585, 6668, 269, 12207, 3494, 602, 891, 10995, 7068, 5968, 1210, 513, 10427, 1893, 1062, 5473, 30390, 267, 627, 30178, 267, 543, 1560, 5322, 269, 3807, 607, 3425, 946, 1913, 543, 17267, 547, 2769, 2933, 267, 23522, 7048, 593, 17974, 6786, 543, 2168, 3346, 547, 6655, 4664, 543, 15752, 780, 1262, 32086, 543, 9442, 4373, 24109, 753, 723, 1044, 2866, 2831, 585, 5215, 540, 1296, 267, 689, 10122, 4891, 899, 5243, 543, 23881, 4621, 547, 3028, 2831, 971, 607, 3391, 5243, 585, 519, 11617, 15176, 269, 9751, 1419, 3322, 9591, 2312, 3515, 540, 2792, 1759, 593, 12587, 543, 2318, 15699, 269, 1635, 9846, 14785, 5551, 5615, 267, 30157, 5000, 2831, 547, 10956, 1346, 3527, 538, 519, 2104, 780, 3719, 1018, 4523, 950, 649, 4019, 2413, 2029, 547, 3662, 2866, 286, 9373, 519, 1158, 540, 5841, 4987, 630, 9590, 264, 543, 3684, 1565, 256, 12824, 616, 1631, 3384, 2780, 6620, 602, 1450, 2831, 547, 834, 10919, 6510, 257, 609, 3425, 998, 5907, 3457, 269, 2290, 8037, 1383, 568, 519, 946, 540, 3642, 14617, 642, 3949, 12816, 676, 15063, 5243, 1282, 3406, 13485, 269, 1452, 1164, 24289, 23157, 3713, 11029, 2242, 538, 513, 2915, 781, 2295, 2557, 543, 7244, 3270, 267, 4543, 1688, 6840, 3313, 2436, 519, 2915, 814, 1336, 513, 6408, 610, 2115, 6351, 780, 5194, 10578, 3498, 540, 3642, 538, 3662, 2792, 568, 519, 1646, 540, 18951, 9162, 2966, 4481, 585, 10130, 269, 2368, 540, 891, 19269, 6451, 8596, 602, 5512, 873, 547, 2746, 547, 606, 3662, 781, 5322, 543, 13047, 3074, 267, 2870, 7317, 1404, 2833, 602, 12954, 1312, 2790, 543, 2168, 2534, 269, 1306, 3173, 3136, 17975, 891, 4066, 267, 649, 666, 2503, 1256, 811, 7415, 7760, 538, 1480, 12845, 2711, 5872, 780, 1262, 10387, 10899, 8081, 12292, 4373, 1103, 2487, 1296, 267, 972, 814, 1044, 3395, 6284, 540, 519, 9354, 2640, 3177, 676, 16508, 8081, 12292, 630, 2464, 2026, 1040, 11536, 2026, 8428, 689, 2757, 3028, 2831, 1317, 789, 1810, 1405, 2154, 7463, 2866, 547, 1685, 1808, 4247, 269, 5502, 267, 741, 3119, 1909, 568, 547, 1683, 4313, 543, 31070, 547, 2043, 7092, 689, 1585, 5626, 4713, 267, 1519, 4160, 267, 4965, 267, 543, 2022, 32034, 2566, 4524, 630, 303, 15056, 6393, 22137, 723, 3254, 602, 3274, 588, 549 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

[ 1879, 4152, 707, 1286, 6007, 609, 513, 1617, 9014, 267, 621, 568, 1271, 547, 581, 3222, 602, 513, 1286, 6007, 1058, 723, 1100, 7864, 982, 476, 1321, 269, 277, 24311, 563, 763, 1699, 10173, 519, 4358, 5179, 799, 6238, 519, 2599, 543, 7575, 519, 1286, 269, 2961, 9075, 616, 1950, 3457, 1500, 909, 540, 519, 1739, 281, 18738, 891, 9075, 972, 568, 606, 23386, 602, 666, 13451, 856, 540, 519, 1283, 540, 519, 6007, 998, 519, 11503, 952, 711, 6740, 20005, 269, 2961, 6007, 5056, 619, 8936, 547, 519, 23525, 540, 513, 1286, 6007, 543, 5279, 621, 998, 519, 5122, 1292, 338, 269, 9373, 707, 6174, 14261, 883, 519, 6007, 3406, 1413, 1575, 1657, 547, 1265, 519, 1318, 6007, 585, 707, 1286, 610, 8709, 269, 901, 568, 849, 5219, 547, 607, 4358, 4390, 563, 2252, 596, 616, 17596, 547, 7914, 3613, 691, 513, 1286, 6007, 596, 786, 991, 547, 2327, 602, 596, 1921, 519, 2318, 22791, 264, 12363, 1101, 607, 8220, 519, 2942, 11196, 264, 12363, 1101, 666, 2014, 519, 5547, 547, 581, 2110, 539, 269, 19200, 289, 630, 28723, 24627, 539, 23996, 264, 568, 849, 1634, 607, 10566, 300, 630, 26670, 2331, 18888, 4223, 264, 610, 31246, 289, 630, 26670, 2331, 24627, 539, 23996, 264, 543, 568, 606, 4720, 540, 519, 3044, 6632, 27876, 6007, 269, 1411, 949, 4898, 1946, 519, 2599, 9963, 1769, 1131, 2097, 593, 267, 713, 568, 1317, 519, 6007, 786, 581, 3246, 1970, 6453, 547, 519, 1286, 779, 2780, 1062, 799, 786, 9594, 519, 2638, 2599, 543, 2638, 6007, 8279, 547, 2097, 593, 563, 1607, 1184, 3217, 1747, 936, 513, 1906, 2395, 538, 513, 6417, 1604, 609, 513, 3636, 2837, 543, 11195, 267, 713, 2636, 519, 13594, 547, 12622, 547, 519, 21870, 269, 2274, 15370, 9075, 616, 1031, 547, 1379, 5122, 14233, 1369, 1286, 822, 753, 543, 5179, 327, 2345, 269, 1403, 519, 1376, 4390, 568, 2630, 476, 4037, 260, 713, 6920, 602, 519, 6007, 568, 4098, 547, 14016, 622, 543, 596, 949, 1995, 2042, 269, 18120, 29963, 20962, 919, 1106, 543, 4228, 518, 1570, 799, 568, 6404, 609, 519, 13594, 547, 3132, 2942, 10824, 563, 763, 6007, 849, 2488, 1379, 547, 519, 6472, 5122, 1062, 799, 8060, 707, 21686, 4580, 267, 607, 1134, 607, 726, 28289, 538, 5122, 3457, 269, 1452, 9075, 798, 711, 13451, 1813, 547, 513, 4017, 2958, 20199, 1319, 799, 25309, 1022, 838, 2683, 20962, 584, 545, 3679, 269, 634, 6453, 2542, 1058, 581, 476, 1321, 269, 277, 341, 952, 2539, 982, 713, 519, 6007, 786, 991, 556, 7302, 1173, 532, 610, 13868, 269, 23996, 23525, 616, 519, 2318, 22791, 264, 543, 2942, 11196, 264, 2022, 899, 3889, 2901, 593, 1283, 540, 513, 1286, 6007, 610, 593, 519, 5011, 267, 930, 9075, 723, 1312, 543, 616, 5219, 547, 607, 12242, 12363, 269, 3776, 6007, 5777, 616, 8537, 540, 17501, 543, 12871, 563, 2691, 4358, 513, 1286, 267, 707, 1101, 3368, 2389, 1248, 540, 519, 1883, 11642, 909, 519, 6174, 269, 1452, 616, 3114, 6547, 1369, 513, 6007, 269, 901, 6007, 568, 2966, 547, 1489, 6472, 14475, 609, 3606, 5122, 3688, 971, 607, 9682, 12445, 1949, 543, 2923, 5716, 269, 634, 2164, 540, 513, 6007, 1449, 786, 581, 10268, 607, 281, 589, 14875, 666, 581, 8719, 609, 589, 14875, 9075, 543, 19200, 289, 666, 581, 8719, 609, 2901, 19200, 289, 610, 589, 14875, 9075, 563, 763, 29370, 756, 619, 10110, 519, 23386, 20808, 621, 547, 2061, 21383, 720, 269, 634, 6007, 1449, 3800, 519, 4358, 2702, 540, 519, 6007, 689, 4411, 269, 589, 3044, 25690, 6007, 568, 2966, 547, 3132, 513, 1164, 1377, 1699, 547, 1376, 513, 1286, 269, 13583, 3293, 2059, 609, 31643, 630, 13092, 3937, 264, 9075, 267, 519, 715, 4338, 288, 2039, 3091, 7513, 1315, 7513, 2029, 799, 3091, 513, 3476, 1272, 267, 513, 5786, 538, 1216, 2530, 543, 606, 2799, 4187, 547, 2362, 5210, 15029, 896, 519, 13755, 6339, 563, 5472, 519, 2942, 10824, 1921, 1927, 543, 782, 519, 2318, 10824, 1921, 1927, 799, 2813, 513, 2582, 476, 273, 19581, 339, 6007, 1591, 269, 2961, 9075, 960, 676, 13936, 513, 3114, 1106, 540, 5122, 1648, 267, 1287, 16089, 621, 538, 513, 6417, 1259, 607, 513, 1463, 1699, 269, 589, 1286, 6007, 29789, 949, 581, 2877, 538, 930, 2665, 269, 1403, 513, 6007, 6453, 2542, 568, 2539, 1402, 883, 513, 2199, 2817, 14977, 637, 543, 4201, 665, 732, 1141, 519, 27637, 786, 4163, 856, 519, 2556, 11974, 563, 3682, 268, 5562, 1286, 6007, 4152, 786, 2285, 596, 519, 4708, 540, 2247, 543, 9206, 1022, 1761, 24966, 1354, 789, 1831, 513, 1966, 269, 9453, 621, 513, 1286, 3274, 4465, 1406, 1376, 269, 1403, 596, 3494, 707, 1286, 6007, 568, 4666, 1317, 707, 1286, 4465, 1406, 1376, 513, 1761, 4781, 568, 547, 946, 7914, 5012, 547, 1921, 519, 6366, 6007, 547, 1776, 1286, 779, 9901, 6007, 269, 1677, 1224, 811, 827, 2274, 15370, 645, 2660, 625, 5225, 4945, 593, 519, 1739, 5816, 2376, 281, 634, 2347, 3391, 547, 2274, 15370, 645, 2660, 625, 563, 21446, 8271, 267, 952, 596, 616, 16462, 707, 1286, 6007, 4152, 267, 1402, 1524, 547, 707, 2199, 2817, 14977, 637, 543, 4201, 665, 732, 7936, 585, 513, 17676, 6007, 1449, 269, 634, 1449, 3322, 10992, 519, 6453, 267, 1376, 4390, 543, 2783, 540, 519, 6007, 269, 1403, 596, 616, 18516, 267, 3274, 4283, 707, 6174, 14261, 883, 519, 6007, 3406, 1907, 693, 519, 1283, 540, 713, 2985, 269, 589, 1286, 6007, 568, 513, 22507, 762, 16669, 6007, 602, 568, 2877, 547, 1376, 513, 5179, 6174, 543, 1379, 519, 5122, 3334, 693, 519, 2046, 540, 513, 7735, 610, 519, 2490, 540, 513, 1883, 269, 901, 5057, 6460, 779, 519, 9817, 1648, 883, 606, 5122, 1699, 585, 519, 6007, 799, 538, 2389, 1248, 7060, 519, 5122, 1062, 563, 288, 1286, 6007, 6453, 1058, 581, 476, 1321, 269, 277, 24311, 610, 936, 952, 621, 568, 4628, 9901, 269, 2961, 9075, 723, 1079, 1292, 9979, 282, 513, 5279, 4783, 799, 4386, 950, 519, 6174, 568, 6117, 543, 568, 4061, 12123, 519, 6007, 543, 513, 11166, 4783, 799, 4386, 950, 519, 6007, 3096, 922, 6740, 1648, 269, 634, 1895, 2450, 4016, 547, 519, 7516, 540, 519, 6007, 1519, 519, 23525, 267, 543, 1141, 519, 23525, 616, 4092, 799, 782, 2115, 547, 581, 2808, 950, 11449, 513, 6007, 269, 1403, 13604, 596, 616, 15695, 602, 513, 10682, 568, 2877, 267, 938, 23390, 786, 18973, 596, 593, 4010, 519, 1318, 1826, 540, 6007, 585, 707, 1286, 269, 634, 7516, 540, 513, 6007, 616, 1271, 950, 7446, 835, 585, 707, 6174, 563, 4263, 2817, 267, 938, 23390, 666, 4163, 856, 513, 17676, 6007, 1449, 799, 1152, 3217, 513, 1906, 3764, 269, 4495, 519, 10824, 616, 4628, 2250, 539, 609, 713, 1570, 267, 789, 786, 991, 547, 581, 23174, 269, 1358, 8428, 689, 1286, 9075, 607, 16837, 9075, 616, 2966, 547, 1683, 1379, 693, 513, 11931, 1377, 936, 606, 6905, 1974, 6466, 513, 1286, 6007, 1131, 1683, 513, 2656, 16802, 540, 1648, 547, 519, 1286, 779, 2599, 563, 2252, 513, 1286, 6007, 568, 711, 556, 7302, 1173, 532, 713, 19752, 602, 972, 568, 513, 7344, 3390, 267, 1034, 2693, 713, 568, 609, 519, 3124, 1807, 799, 1058, 581, 10451, 1648, 547, 5279, 519, 6007, 269, 2961, 9075, 1445, 811, 593, 519, 1376, 5346, 540, 9817, 267, 6466, 2274, 15370, 645, 2660, 625, 616, 2966, 547, 1445, 811, 593, 15006, 269, 2659, 1286, 6007, 556, 7302, 1173, 525, 8850, 607, 519, 1286, 11479, 267, 3246, 519, 1286, 779, 3124, 1807, 543, 5397, 12966, 616, 538, 1434, 2783, 563, 309, 12317, 2873, 609, 1376, 270, 17380, 2029, 267, 1141, 519, 6174, 779, 2599, 7140, 1055, 950, 519, 1286, 568, 19335, 1869, 3351, 1047, 519, 6007, 547, 1379, 519, 21686, 4580, 543, 538, 21307, 2029, 269, 1717, 267, 952, 596, 1131, 899, 547, 917, 875, 547, 3514, 513, 1286, 6007, 267, 5225, 4945, 593, 519, 1739, 3095, 281, 1215, 547, 1689, 513, 1286, 6007, 269, 901, 2656, 543, 2241, 1072, 2638, 666, 13209, 1022, 5817, 6007, 24966, 269, 32279, 18542, 5999, 2311, 2817, 649, 6006, 2185, 2010, 540, 9075, 267, 891, 616, 281, 1452, 3889, 616, 585, 519, 3742, 2326, 547, 6529, 547, 563, 4322, 2281, 616, 1287, 17332, 883, 519, 6007, 2013, 269, 0, 268, 1358, 2308, 513, 2203, 799, 789, 1289, 513, 1591, 2203, 4586, 268, 1284, 949, 3277, 547, 971, 513, 1591, 607, 513, 3501, 3575, 518, 4586, 268, 2701, 729, 22415, 1117, 883, 513, 1591, 4586, 268, 589, 1591, 609, 12001, 6821, 3568, 519, 5277, 1063, 513, 6292, 540, 6252, 10824, 4586, 268, 634, 1646, 540, 2604, 1369, 513, 1591, 607, 1267, 540, 519, 18236, 540, 1216, 883, 621, 568, 1572, 2881, 326, 528, 4586, 268, 898, 781, 2352, 547, 1265, 513, 1591, 538, 513, 4845, 269, 476, 17958, 320, 1591, 20881, 510, 9463, 354, 418, 490, 374, 421, 504, 378, 7511, 454, 268, 3962, 22813, 5161, 540, 513, 1591, 1560, 267, 799, 3568, 519, 13540, 267, 543, 835, 610, 811, 4552, 3697, 24909, 4586, 268, 634, 3604, 1063, 519, 4835, 3114, 5888, 540, 513, 1591, 543, 602, 540, 922, 5007, 1604, 2099, 513, 4110, 540, 1931, 4586, 268, 6396, 547, 1711, 513, 2688, 5920, 585, 513, 1591, 454, 268, 595, 6817, 950, 519, 10856, 24072, 7575, 936, 513, 1591, 454, 268, 12769, 2720, 950, 513, 1591, 521, 1907, 339, 760, 1257, 568, 2877, 454, 268, 594, 1412, 1654, 3893, 476, 272, 476, 276, 811, 3764, 1547, 798, 596, 723, 513, 1591, 6049, 454, 268, 12769, 2720, 950, 519, 1543, 1369, 513, 1591, 568, 4945, 539, 454, 268, 2107, 723, 513, 1591, 6049, 676, 519, 942, 1352, 1412, 521, 476, 272, 476, 276, 454, 268, 634, 1486, 22914, 3544, 519, 13540, 540, 513, 1591, 454, 268, 2311, 2547, 596, 1412, 26270, 1205, 513, 1591, 547, 3054, 2073, 27445, 0, 30206, 12143, 1107, 13823, 1027, 15661, 3962, 1895, 4759, 1590, 2347, 713, 7084, 14350, 547, 4309, 5491, 256, 21909, 539, 6498, 540, 4074, 281, 6828, 16588, 476, 272, 1107, 7111, 2249, 630, 718, 2798, 14386, 6828, 16588, 476, 273, 1107, 7111, 2249, 630, 718, 2798, 14386, 6828, 16588, 476, 274, 1107, 13823, 1027, 2249, 630, 718, 2798, 14386, 6828, 16588, 476, 275, 1107, 5189, 2249, 630, 718, 2798, 14386, 5457, 519, 1445, 540, 519, 2022, 568, 547, 1265, 4930, 543, 824, 2959, 593, 519, 14498, 540, 835, 540, 707, 2516, 685, 6074, 2249, 269, 8838, 1308, 281, 596, 666, 1039, 1187, 22619, 23605, 593, 519, 16392, 946, 610, 824, 3096, 540, 707, 2249, 267, 855, 621, 1281, 711, 11886, 713, 7084, 256, 2659, 2022, 1590, 1331, 519, 1739, 1344, 538, 707, 1378, 1913, 267, 5225, 1294, 519, 968, 1692, 1677, 25737, 17796, 892, 2985, 585, 811, 1344, 269, 10691, 292, 281, 24762, 5299, 9706, 16556, 610, 12735, 3511, 1242, 689, 7270, 1510, 1697, 14327, 786, 4309, 513, 4642, 543, 616, 513, 1106, 540, 4081, 31081, 17965, 256, 6423, 519, 19875, 585, 519, 15059, 540, 2798, 269, 9105, 803, 952, 596, 723, 1022, 2055, 593, 519, 7084, 269, 476, 272, 2529, 2615, 881, 543, 1455, 2012, 585, 2249, 476, 273, 269, 8489, 538, 519, 1158, 568, 519, 2249, 8385, 689, 286, 476, 274, 16638, 2850, 519, 1739, 2798, 827, 519, 14498, 540, 707, 1875, 28921, 2249, 585, 1142, 1448, 596, 1058, 723, 606, 538, 17856, 11239, 630, 10461, 267, 1032, 2567, 476, 272, 13034, 629, 18945, 4170, 476, 273, 269, 11328, 13905, 609, 824, 2249, 630, 323, 3996, 621, 8415, 1776, 2249, 286, 1281, 621, 14526, 609, 1776, 2249, 24047, 476, 274, 269, 3849, 2194, 687, 547, 519, 1604, 476, 275, 269, 3963, 568, 519, 2249, 3811, 3544, 540, 922, 5065, 7226, 286, 585, 1142, 1448, 596, 1058, 723, 606, 538, 17856, 11239, 630, 10461, 267, 1032, 2567, 513, 264, 1215, 729, 519, 2249, 5189, 547, 7013, 4993, 286, 536, 264, 6496, 621, 723, 2139, 7226, 547, 3935, 1125, 286, 4208, 286, 630, 299, 1601, 540, 25165, 286, 9605, 24047, 524, 264, 6496, 621, 723, 7899, 540, 2200, 267, 1946, 286, 476, 276, 269, 9085, 11855, 267, 1210, 2407, 14327, 607, 3254, 593, 519, 1215, 1677, 8525, 269, 0, 3963, 798, 18253, 723, 2462, 4395, 3952, 888, 763, 9456, 3727, 779, 4395, 3952, 616, 1454, 3677, 982, 922, 12042, 3952, 269, 1452, 23762, 4395, 3952, 723, 1804, 32356, 865, 789, 666, 2007, 11895, 269, 661, 288, 16249, 670, 5723, 3951, 306, 281, 2560, 3047, 19095, 616, 741, 5172, 1426, 267, 855, 789, 849, 3548, 1082 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

[ 763, 25753, 2280, 14594, 666, 581, 513, 2352, 1224, 1256, 585, 4359, 1053, 267, 1813, 547, 519, 6863, 1377, 543, 519, 14336, 5566, 2470, 540, 519, 1650, 1373, 5143, 538, 519, 3209, 269, 1403, 594, 941, 606, 3328, 476, 1015, 628, 1178, 1457, 21365, 713, 3209, 585, 4832, 2542, 267, 594, 8910, 960, 593, 3478, 998, 1100, 811, 982, 1079, 547, 1614, 11271, 829, 11706, 1554, 269, 901, 1131, 1491, 596, 5216, 11706, 2395, 269, 594, 8910, 849, 2015, 1210, 519, 552, 24687, 2593, 3184, 24096, 547, 2689, 19200, 9898, 2542, 519, 11271, 538, 8316, 25079, 779, 1913, 269, 5681, 332, 2456, 616, 1360, 5363, 538, 1818, 2386, 602, 596, 1174, 1018, 596, 723, 1224, 543, 10093, 1406, 14406, 1022, 1271, 4729, 7835, 269, 6153, 9939, 609, 707, 2542, 2336, 2080, 781, 606, 552, 24687, 3135, 602, 11828, 538, 930, 1469, 519, 6059, 3328, 2542, 942, 585, 519, 3209, 267, 607, 1134, 607, 585, 519, 2606, 1557, 267, 834, 763, 11426, 5600, 4799, 5629, 596, 979, 547, 519, 3135, 267, 20801, 1524, 547, 519, 5377, 540, 519, 2985, 547, 1265, 519, 3296, 1572, 834, 15307, 13846, 7335, 5384, 563, 1607, 1131, 581, 513, 3391, 267, 693, 2547, 267, 547, 2285, 596, 513, 2489, 2856, 269, 594, 723, 547, 3858, 602, 634, 25753, 2280, 14594, 568, 513, 1360, 4101, 1433, 269, 8316, 25079, 781, 4845, 2497, 568, 1279, 543, 1950, 267, 543, 594, 6415, 2386, 596, 786, 1265, 1082, 6863, 1913, 602, 616, 1007, 547, 596, 563, 10673, 1405, 2285, 909, 593, 713, 1433, 1100, 2339, 875, 1279, 621, 3217, 596, 547, 1224, 621, 256, 594, 917, 621, 781, 2182, 547, 1224, 267, 855, 530, 578, 256, 634, 1650, 568, 5863, 543, 519, 3197, 616, 865, 1483, 563, 763, 4640, 594, 946, 568, 547, 4137, 856, 875, 1082, 2395, 594, 723, 547, 1224, 1945, 267, 1293, 519, 11271, 543, 4137, 856, 513, 3232, 3804, 585, 1948, 540, 3817, 563, 9827, 267, 1317, 713, 1433, 568, 2352, 267, 581, 2386, 547, 723, 513, 8675, 2673, 676, 256, 1403, 596, 723, 707, 1378, 5299, 540, 519, 1433, 267, 1491, 4967, 1318, 593, 519, 3817, 865, 602, 950, 621, 781, 942, 585, 1362, 4901, 596, 3513, 723, 782, 707, 1344, 1318, 972, 256, 2433, 994, 9617, 865, 596, 1810, 1405, 1205, 27209, 267, 594, 666, 1405, 4952, 18138, 713, 3209, 538, 476, 273, 3108, 269, 594, 723, 1224, 621, 1082, 2053, 267, 543, 621, 2141, 3217, 803, 693, 2547, 476, 1321, 2542, 3108, 547, 2347, 621, 269, 769, 519, 4098, 621, 3576, 513, 1279, 942, 547, 1205, 998, 519, 5220, 270, 22106, 5879, 607, 6700, 1657, 282, 1631, 621, 3217, 803, 3476, 547, 2972, 8316, 25079, 781, 8748, 946, 540, 1893, 267, 3239, 267, 3092, 563, 2005, 786, 1491, 596, 607, 1279, 607, 621, 3217, 547, 1224, 519, 3209, 282, 621, 5673, 1018, 596, 1616, 547, 798, 609, 621, 543, 1205, 856, 540, 621, 269, 594, 9327, 1405, 5855, 827, 519, 942, 269, 17949, 519, 3209, 3267, 621, 781, 513, 1390, 1224, 269, 0, 6343, 7835, 6825, 519, 12355, 5912, 689, 4874, 1492, 1143, 547, 1395, 6139, 1143, 286, 6343, 7835, 6825, 519, 12355, 5912, 689, 4874, 1492, 1143, 547, 1395, 6139, 1143, 888, 296, 1589, 834, 1492, 257, 2680, 602, 5828, 519, 1261, 3691, 9749, 883, 1395, 6139, 1235, 729, 14062, 781, 7237, 609, 2696, 543, 2696, 781, 3190, 12310, 269, 14062, 543, 1010, 7385, 267, 8861, 267, 941, 1360, 2025, 267, 1312, 538, 741, 562, 6839, 625, 267, 855, 2696, 16219, 602, 789, 1131, 723, 513, 5067, 269, 2986, 1576, 267, 789, 941, 26617, 282, 1018, 4807, 538, 1200, 562, 6839, 625, 1223, 1205, 9176, 286, 8616, 602, 568, 4010, 1018, 5949, 281, 8861, 3893, 9176, 543, 5795, 4332, 547, 513, 5067, 267, 7247, 789, 3957, 21469, 267, 799, 1797, 834, 331, 5922, 2437, 1317, 1352, 1185, 561, 13774, 1117, 950, 5143, 1352, 1131, 723, 513, 4816, 563, 2691, 2696, 1500, 519, 9153, 602, 789, 1131, 723, 513, 5067, 945, 1131, 581, 519, 13653, 540, 513, 1390, 4182, 267, 14062, 10356, 782, 1010, 5256, 22063, 267, 543, 789, 782, 941, 4931, 322, 2213, 607, 513, 1129, 602, 789, 5156, 538, 543, 1131, 1631, 1246, 2696, 269, 3245, 602, 1554, 267, 14062, 543, 3025, 2404, 609, 1864, 10847, 539, 519, 835, 2696, 563, 2467, 568, 513, 2603, 540, 7521, 593, 713, 2243, 543, 930, 540, 621, 568, 1759, 593, 20093, 821, 748, 6436, 602, 723, 1044, 3181, 6064, 539, 676, 15456, 2963, 269, 2290, 1699, 2856, 568, 602, 267, 1247, 2250, 6436, 723, 4371, 602, 2094, 972, 616, 811, 982, 835, 2012, 585, 2696, 4874, 1492, 1143, 568, 8612, 267, 13354, 3504, 1686, 2982, 602, 621, 729, 3833, 1455, 585, 835, 3364, 267, 1747, 267, 11769, 547, 723, 811, 982, 835, 2012, 269, 901, 7028, 3504, 1395, 6139, 1143, 538, 3504, 12355, 4984, 563, 6635, 7666, 2406, 267, 519, 29611, 1996, 31561, 520, 787, 734, 320, 29611, 799, 1131, 840, 2850, 4874, 1492, 1143, 734, 322, 877, 827, 1256, 4505, 982, 14062, 267, 1310, 519, 24627, 269, 4340, 547, 1082, 2959, 267, 1519, 16555, 538, 519, 13669, 31053, 267, 2696, 3357, 547, 25424, 1310, 519, 24627, 543, 5795, 1864, 18599, 16572, 547, 1246, 547, 2327, 13919, 269, 1452, 4031, 1331, 606, 740, 3000, 819, 1996, 519, 10847, 540, 7329, 11169, 4534, 6236, 602, 25424, 12038, 547, 2696, 630, 32355, 538, 9909, 610, 998, 606, 10827, 776, 1070, 646, 1131, 6157, 1174, 519, 3017, 1063, 513, 18533, 543, 519, 1483, 3364, 563, 2791, 991, 547, 5581, 1395, 6139, 1143, 543, 4874, 1492, 1143, 538, 971, 513, 1259, 607, 547, 2057, 1476, 331, 908, 3661, 609, 10847, 269, 769, 824, 1913, 267, 3661, 538, 519, 6228, 540, 10971, 568, 711, 519, 1482, 607, 26902, 6235, 873, 269, 634, 3948, 834, 296, 993, 519, 7083, 16815, 2696, 3267, 543, 23524, 695, 5306, 723, 1100, 824, 10971, 1354, 803, 257, 10522, 630, 272, 264, 1896, 10971, 12327, 8780, 855, 630, 273, 264, 519, 7642, 941, 1152, 4847, 547, 20796, 17239, 7709, 835, 540, 873, 269, 898, 729, 1152, 7930, 602, 519, 824, 10971, 2968, 1629, 6838, 547, 13005, 655, 976, 630, 32173, 958, 281, 10143, 14326, 264, 543, 1256, 2663, 602, 13005, 655, 976, 5828, 883, 834, 12047, 976, 257, 630, 5271, 559, 10143, 7919, 1040, 20943, 928, 8283, 781, 1433, 593, 5259, 31898, 5566, 17959, 540, 4168, 18321, 814, 513, 1434, 4901, 540, 713, 3390, 563, 296, 3858, 602, 649, 991, 547, 2490, 547, 519, 6196, 11620, 267, 543, 538, 1880, 267, 519, 19999, 622, 1276, 630, 1492, 1101, 2947, 2835, 540, 519, 6196, 11620, 264, 538, 1931, 547, 948, 721, 2626, 713, 2243, 269, 1703, 649, 666, 1294, 519, 29685, 602, 1360, 5693, 5280, 547, 5581, 519, 6014, 5132, 543, 2697, 2933, 607, 1373, 3982, 3379, 547, 519, 824, 2516, 543, 11031, 602, 972, 941, 693, 519, 1482, 942, 269, 769, 1880, 267, 596, 1522, 899, 547, 2015, 875, 519, 6014, 5137, 7242, 11651, 2471, 25921, 538, 930, 1883, 2127, 689, 824, 5137, 14868, 540, 519, 1482, 942, 1974, 563, 10303, 519, 10916, 540, 519, 30920, 5949, 1279, 1310, 519, 2621, 267, 649, 666, 1413, 547, 602, 2854, 2594, 547, 1265, 519, 4890, 20825, 269, 31598, 519, 1034, 3196, 995, 2038, 3948, 540, 519, 6044, 602, 519, 12355, 1004, 941, 547, 10847, 1152, 519, 835, 2696, 3357, 607, 15584, 729, 593, 24398, 269, 31291, 328, 8391, 519, 14210, 16710, 906, 563, 296, 1589, 596, 1522, 1413, 693, 713, 607, 17194, 729, 1395, 6139, 2065, 689, 519, 4098, 855, 4478, 4529, 941, 711, 267, 865, 972, 729, 606, 5872, 543, 7654, 513, 32692, 1063, 609, 1261, 3691, 9749, 543, 824, 4529, 269, 1358, 1522, 723, 1044, 19035, 540, 873, 269, 898, 1223, 2491, 513, 2603, 540, 519, 29886, 32659, 269, 0, 288, 7913, 5741, 5004, 6651, 454, 1432, 7913, 5741, 5004, 9980, 5661, 543, 875, 621, 779, 4698, 5367, 454, 2026, 1870, 814, 5051, 6410, 2228, 267, 865, 723, 513, 3099, 540, 3157, 543, 5773, 602, 5892, 7018, 22356, 269, 2290, 1383, 540, 713, 7613, 568, 3059, 1788, 2359, 267, 799, 3096, 3301, 547, 5512, 519, 4058, 267, 9477, 267, 543, 5883, 540, 513, 1788, 689, 1376, 547, 9096, 269, 898, 13054, 782, 519, 10721, 3646, 3238, 538, 519, 5137, 543, 12032, 540, 2228, 10276, 12574, 3785, 9447, 3842, 13819, 610, 4950, 30499, 3457, 269, 634, 2259, 568, 4749, 1031, 676, 8041, 799, 7500, 25274, 607, 1134, 607, 4835, 1357, 2861, 2516, 563, 3951, 8441, 538, 2487, 1296, 1611, 602, 5883, 513, 1788, 1100, 3476, 3340, 2921, 4050, 547, 1957, 547, 2328, 909, 5359, 267, 1818, 7928, 11564, 547, 1788, 6753, 610, 6049, 7125, 547, 1788, 5171, 547, 2638, 593, 513, 1788, 779, 4567, 267, 9477, 15737, 689, 1585, 2959, 267, 610, 5373, 543, 2699, 3863, 532, 2095, 12125, 593, 513, 3043, 4604, 269, 769, 1082, 2665, 267, 891, 3252, 666, 1631, 581, 17411, 25274, 563, 11693, 519, 3573, 2359, 4390, 3710, 883, 667, 15014, 3301, 267, 513, 3059, 1788, 9614, 779, 1909, 666, 9765, 602, 540, 513, 2757, 1788, 9614, 538, 2474, 540, 519, 9165, 540, 519, 9614, 779, 6392, 543, 5539, 269, 5741, 2359, 5340, 25274, 1419, 4386, 538, 3549, 1141, 519, 9614, 20362, 1788, 5838, 1963, 543, 1352, 17731, 1091, 513, 1788, 547, 12032, 1510, 8209, 1373, 3743, 585, 1554, 3562, 6377, 2359, 540, 1788, 5234, 563, 1607, 2376, 7710, 538, 1469, 1018, 3059, 1788, 2359, 14122, 543, 875, 621, 568, 13736, 563, 19119, 540, 7913, 5741, 5004, 454, 288, 2101, 4324, 540, 3059, 1788, 2359, 3435, 568, 741, 2702, 547, 2697, 519, 5730, 1533, 540, 960, 593, 513, 1788, 693, 1022, 2016, 942, 269, 901, 6087, 596, 547, 5544, 1022, 2152, 607, 4166, 607, 789, 8451, 543, 1491, 1022, 2556, 2962, 538, 3210, 267, 1519, 711, 4328, 519, 10858, 8639, 269, 898, 849, 6971, 519, 991, 585, 10647, 7928, 11401, 547, 4309, 10311, 593, 519, 1788, 563, 5194, 4324, 11710, 689, 519, 2702, 547, 4558, 782, 6054, 267, 6119, 267, 543, 2592, 538, 3301, 1759, 538, 519, 6531, 267, 3850, 2319, 2818, 547, 4647, 610, 14202, 3688, 540, 713, 1826, 1510, 17596, 547, 6494, 596, 15737, 31392, 610, 5627, 519, 3688, 538, 2243, 269, 901, 11250, 909, 960, 593, 519, 1788, 676, 14874, 519, 8488, 3335, 2404, 609, 4757, 532, 1394, 543, 8521, 563, 4415, 4967, 593, 519, 1788, 6854, 538, 519, 1482, 8818, 607, 824, 1788, 1570, 267, 596, 849, 2569, 1022, 10539, 827, 5955, 593, 1114, 3344, 540, 519, 1788, 269, 13298, 982, 2348, 547, 4990, 998, 513, 3099, 540, 15737, 547, 1265, 8292, 543, 824, 5955, 593, 741, 960, 689, 1114, 1004, 267, 2319, 2818, 666, 1265, 713, 1344, 538, 835, 21438, 4087, 563, 291, 583, 625, 543, 10341, 540, 513, 7913, 5741, 15440, 454, 291, 583, 625, 8655, 547, 513, 3059, 1788, 9614, 1419, 1331, 519, 1739, 912, 268, 6034, 2359, 540, 7218, 454, 268, 15788, 15569, 540, 6075, 2833, 454, 268, 10417, 783, 1944, 543, 13327, 4370, 1788, 4640, 454, 268, 5548, 1853, 532, 11807, 1788, 4093, 693, 1142, 1900, 538, 519, 1184, 454, 2414, 960, 607, 513, 3059, 1788, 9614, 267, 513, 1880, 1305, 540, 1983, 568, 2877, 269, 1452, 1331, 912, 268, 634, 2702, 547, 1106, 513, 7580, 1620, 540, 875, 513, 1788, 666, 581, 4547, 547, 2927, 819, 454, 268, 11310, 540, 519, 1826, 540, 2029, 602, 1058, 581, 1031, 547, 3035, 1788, 6859, 454, 268, 18833, 1018, 513, 3811, 1788, 6364, 5654, 899, 454, 268, 10318, 1456, 519, 6059, 1942, 540, 519, 1788, 543, 12719, 21614, 296, 454, 268, 6480, 26305, 875, 1279, 621, 786, 1491, 547, 2347, 519, 1788, 454, 268, 634, 2702, 547, 15518, 622, 6392, 950, 2556, 454, 17843, 3785, 2154, 519, 17293, 540, 1114, 1983, 1115, 267, 1818, 8112, 513, 2101, 16495, 585, 1788, 9946, 267, 945, 991, 547, 581, 740, 30794, 538, 513, 3099, 540, 10459, 547, 1685, 741, 5107, 3927, 269, 634, 6662, 540, 519, 2816, 568, 547, 3605, 519, 1034, 3608, 1259, 547, 4194, 7817, 2042, 543, 5838, 2164, 602, 2743, 610, 9765, 7817, 6788, 563, 1692, 568, 7913, 5741, 5004, 7756, 888, 19445, 1788, 2359, 15320, 689, 519, 1935, 1031, 13840, 676, 13327, 4370, 1870, 18129, 1210, 1152, 2228, 5698, 2645, 543, 3157, 269, 634, 2259, 13315, 519, 1482, 3376, 11645, 8655, 547, 513, 2757, 1788, 9614, 269, 898, 15320, 689, 8668, 1788, 2359, 538, 602, 621, 568, 3622, 8246, 585, 5883, 3785 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

[ 0, 25200, 281, 27285, 20540, 281, 27286, 1607, 1449, 5161, 540, 476, 276, 2110, 2626, 2055, 267, 476, 1015, 2110, 1557, 2055, 267, 543, 476, 272, 630, 1993, 476, 274, 264, 1557, 3584, 563, 14112, 8382, 5999, 454, 272, 269, 2755, 789, 616, 2324, 1927, 267, 585, 1018, 2601, 1281, 31684, 2161, 595, 800, 1058, 581, 18507, 547, 1864, 888, 273, 269, 1548, 1281, 31684, 2161, 827, 22598, 888, 274, 269, 1306, 595, 800, 8255, 856, 540, 519, 2777, 267, 3735, 585, 513, 3014, 267, 1018, 1281, 14986, 2161, 547, 1864, 888, 275, 269, 1548, 1281, 14986, 2161, 568, 519, 2601, 602, 31684, 2760, 5129, 538, 519, 2101, 682, 8046, 888, 276, 269, 1548, 1281, 31684, 2161, 1131, 723, 5949, 952, 646, 22821, 1405, 3144, 5279, 540, 28792, 781, 2724, 888, 14112, 4828, 5999, 454, 272, 269, 4208, 1281, 31684, 1745, 646, 568, 1373, 5701, 15490, 569, 693, 960, 888, 273, 269, 4208, 568, 31684, 267, 1082, 3275, 1310, 13031, 1010, 26035, 267, 1869, 4947, 1753, 1169, 3781, 888, 274, 269, 4208, 1281, 28792, 2161, 602, 519, 3983, 2367, 18486, 1864, 888, 275, 269, 1548, 1281, 14986, 2995, 31684, 646, 1058, 798, 950, 519, 16461, 3438, 2501, 888, 276, 269, 1548, 1281, 31684, 2161, 547, 1010, 4816, 8250, 888, 277, 269, 1879, 595, 800, 2501, 1753, 689, 11176, 2259, 267, 1946, 568, 14986, 13347, 609, 1864, 888, 278, 269, 1548, 1650, 1281, 31684, 2995, 827, 519, 942, 646, 4718, 12280, 538, 1268, 888, 279, 269, 4208, 1281, 31684, 2161, 602, 646, 568, 711, 4058, 547, 2285, 22598, 909, 888, 280, 269, 4208, 568, 14986, 13347, 609, 595, 800, 950, 646, 3762, 585, 513, 11176, 3014, 888, 1015, 269, 1548, 1281, 31684, 2161, 827, 519, 27740, 2274, 8046, 538, 13836, 888, 2237, 606, 1557, 585, 21450, 540, 519, 1739, 3584, 912, 13625, 13445, 476, 272, 454, 2750, 8533, 519, 1915, 540, 10370, 976, 269, 1215, 646, 568, 1644, 547, 519, 824, 3197, 538, 519, 1433, 286, 1548, 616, 1010, 9909, 543, 7965, 286, 4208, 1522, 519, 31075, 723, 3769, 10370, 976, 262, 1915, 888, 13625, 13445, 476, 273, 454, 8794, 2093, 689, 519, 1404, 267, 2491, 1946, 596, 1589, 4864, 14355, 8359, 547, 1289, 1010, 1404, 834, 293, 1878, 1701, 769, 1840, 547, 7234, 519, 20545, 799, 31684, 13976, 1472, 1010, 2777, 267, 1331, 707, 2093, 827, 1018, 824, 31966, 2291, 538, 519, 1404, 543, 1946, 519, 20545, 5713, 607, 513, 2178, 3090, 538, 519, 1404, 563, 13625, 13445, 476, 274, 454, 28097, 519, 3390, 540, 7292, 14882, 538, 519, 1404, 267, 1312, 538, 2474, 540, 1018, 616, 23610, 2152, 9619, 543, 1018, 616, 2042, 585, 799, 31684, 6811, 2291, 1152, 1317, 540, 519, 28735, 540, 519, 3043, 812, 936, 519, 3109, 812, 563, 1607, 3296, 3568, 476, 2568, 274, 1913, 454, 26140, 269, 476, 274, 3817, 693, 476, 4968, 1913, 829, 2985, 264, 0, 312, 7541, 3635, 568, 606, 2025, 4095, 1062, 540, 23736, 607, 1134, 607, 2022, 999, 602, 1445, 593, 519, 2247, 267, 519, 2168, 543, 849, 519, 5289, 3344, 269, 898, 568, 7363, 13736, 607, 606, 22161, 8826, 4480, 543, 849, 2882, 2620, 7244, 23736, 267, 11005, 267, 607, 1134, 607, 14931, 7244, 269, 1452, 2853, 3132, 513, 2318, 1198, 593, 519, 1560, 267, 4929, 4222, 267, 13916, 267, 543, 849, 16608, 269, 1306, 3570, 267, 929, 534, 599, 4821, 267, 16095, 6652, 267, 543, 8086, 616, 930, 540, 519, 6093, 23736, 13736, 538, 713, 1062, 269, 18639, 814, 513, 1713, 3310, 593, 519, 1272, 540, 1169, 1268, 267, 8754, 621, 568, 711, 1152, 3730, 585, 519, 1560, 2705, 11338, 3091, 513, 4743, 540, 4708, 607, 1134, 607, 7772, 269, 18639, 3635, 814, 2965, 1044, 6444, 547, 2087, 1426, 12536, 543, 849, 3986, 519, 10009, 540, 5135, 2429, 519, 1560, 269, 2060, 519, 10649, 3635, 23736, 267, 519, 1164, 1973, 2604, 11338, 25242, 607, 1134, 607, 1608, 916, 519, 13285, 269, 3367, 713, 2376, 547, 917, 519, 1292, 2640, 540, 10649, 563, 763, 3119, 5413, 540, 519, 10649, 3635, 568, 602, 789, 3986, 26176, 2088, 607, 1134, 607, 13916, 267, 2539, 2566, 267, 543, 849, 2087, 28491, 607, 1134, 607, 7929, 1062, 2934, 269, 18639, 10123, 7727, 8748, 5383, 585, 519, 12536, 1062, 543, 568, 6444, 547, 3986, 26176, 2088, 607, 1134, 607, 21755, 269, 1677, 12492, 2347, 10649, 1072, 543, 8516, 267, 513, 1268, 1058, 1685, 1554, 3562, 6377, 8086, 267, 929, 534, 599, 4821, 267, 607, 1134, 607, 10649, 3635, 588, 1734, 269, 1452, 23736, 5351, 538, 2810, 519, 17545, 543, 32297, 540, 519, 1585, 4887, 2527, 6887, 540, 519, 1560, 269, 8617, 15904, 10123, 2337, 538, 20993, 28491, 543, 849, 7244, 1949, 538, 1840, 547, 12536, 269, 18639, 11226, 538, 20993, 5834, 543, 5355, 519, 2247, 23073, 4276, 269, 4935, 267, 621, 814, 1044, 8246, 607, 513, 1797, 547, 1521, 6266, 540, 3676, 543, 22074, 269, 1703, 616, 1114, 2010, 540, 10649, 3635, 607, 1134, 607, 1142, 814, 922, 1378, 1871, 563, 2026, 6255, 18553, 568, 835, 1826, 540, 10649, 3635, 267, 799, 14122, 513, 3126, 540, 7158, 269, 1452, 2022, 999, 616, 5340, 2731, 2656, 543, 3196, 519, 6091, 540, 519, 1560, 547, 960, 2182, 267, 799, 23366, 5012, 547, 8476, 1560, 2168, 8516, 269, 670, 24048, 10649, 568, 606, 3606, 1106, 540, 10649, 3635, 267, 799, 568, 811, 17159, 607, 1134, 607, 22471, 559, 982, 1306, 6255, 18553, 269, 898, 2882, 14887, 533, 3166, 3126, 543, 568, 811, 20083, 585, 1346, 602, 723, 606, 1719, 538, 8236, 1560, 2168, 8516, 1510, 2348, 547, 14892, 3573, 23736, 269, 1403, 596, 20053, 547, 3035, 513, 3501, 1560, 267, 596, 723, 547, 6451, 10649, 3635, 609, 6296, 2324, 856, 269, 11554, 856, 2059, 609, 10649, 3635, 786, 2285, 596, 609, 1732, 4093, 6236, 602, 519, 7244, 1568, 856, 602, 616, 851, 540, 10649, 2874, 540, 1454, 4514, 7244, 267, 11931, 6927, 607, 1134, 607, 2620, 7244, 267, 799, 4217, 538, 7393, 519, 5135, 5232, 538, 519, 1560, 563, 26589, 609, 713, 267, 10649, 3635, 16621, 1210, 2953, 588, 1734, 543, 7244, 2553, 602, 786, 6157, 4217, 596, 3986, 519, 17545, 540, 707, 1560, 4887, 2527, 543, 849, 5818, 707, 1560, 1072, 543, 8516, 269, 18639, 568, 513, 17512, 881, 1505, 547, 9585, 513, 3501, 1560, 2168, 8516, 269, 1411, 1175, 2154, 547, 1246, 1808, 4808, 547, 1205, 3323, 609, 10649, 269, 21231, 267, 596, 991, 547, 1413, 585, 4791, 5583, 689, 707, 10629, 1991, 547, 4358, 10649, 865, 602, 646, 666, 6218, 707, 2168, 1072, 543, 9716, 269, 8921, 1055, 267, 596, 786, 6157, 723, 547, 1265, 856, 519, 1114, 10649, 1747, 906, 267, 799, 3617, 585, 707, 1560, 2450, 543, 3337, 269, 2991, 713, 267, 596, 786, 6157, 991, 547, 1451, 519, 1114, 6163, 540, 10649, 3635, 547, 1205, 519, 1655, 2164, 689, 707, 10649, 3635, 7886, 269, 10812, 811, 593, 713, 1641, 1934, 281, 4179, 2517, 523, 25769, 3820, 28293, 270, 312, 7541, 269, 0, 20376, 12053, 10332, 1797, 513, 5469, 5116, 593, 513, 7082, 3758, 602, 25887, 513, 18579, 540, 513, 7082, 1867, 5473, 602, 7082, 3758, 602, 519, 7082, 521, 685, 3961, 949, 723, 1044, 1031, 1510, 519, 7082, 521, 685, 9844, 547, 12611, 592, 1836, 3489, 5370, 610, 2533, 538, 519, 7082, 521, 685, 2012, 563, 268, 476, 272, 1548, 1281, 621, 1611, 950, 2576, 568, 10332, 888, 268, 476, 273, 1548, 568, 513, 5616, 3354, 10332, 888, 268, 476, 274, 1548, 568, 5985, 3354, 10332, 888, 268, 476, 275, 4208, 798, 594, 1832, 3478, 2565, 3354, 25887, 689, 5616, 888, 268, 476, 276, 1548, 568, 5409, 10332, 888, 268, 476, 277, 1548, 1281, 705, 728, 1611, 888, 268, 476, 278, 1215, 798, 594, 917, 952, 513, 5616, 3354, 10332, 568, 1483, 888, 268, 476, 279, 1548, 568, 513, 5616, 10332, 585, 707, 2012, 888, 268, 476, 280, 1215, 798, 594, 3247, 5616, 3354, 25887, 888, 268, 476, 1015, 1215, 666, 596, 2697, 513, 1085, 600, 1067, 888, 268, 476, 1556, 2052, 2576, 11360, 883, 707, 6049, 676, 10912, 596, 888, 268, 476, 1321, 2052, 513, 1085, 600, 1067, 1569, 1250, 6049, 888, 268, 476, 1724, 1215, 798, 594, 2490, 593, 3354, 25887, 538, 717, 21166, 888, 1432, 1281, 621, 1611, 950, 2576, 568, 10332, 888, 31296, 995, 267, 21713, 267, 2647, 268, 1177, 820, 267, 10332, 1611, 1373, 593, 519, 1413, 719, 2523, 585, 8594, 610, 4316, 563, 1432, 568, 513, 5616, 3354, 10332, 888, 11386, 15920, 596, 3354, 25887, 547, 948, 2061, 824, 1004, 689, 1210, 610, 705, 6748, 707, 2272, 269, 6435, 1832, 707, 2272, 5150, 676, 14775, 1318, 2476, 547, 1022, 3354, 25887, 596, 1205, 676, 6049, 610, 4757, 563, 1432, 568, 5985, 3354, 10332, 888, 2026, 4166, 607, 519, 18453, 3468, 338, 519, 1062, 267, 621, 5932, 513, 674, 820, 968, 289, 19495, 30540, 892, 3028, 4781, 593, 519, 7783, 3926, 16041, 609, 15692, 13013, 543, 12134, 519, 6408, 547, 9886, 621, 2629, 27704, 1369, 15692, 779, 10333, 3252, 269, 6693, 3963, 798, 594, 1832, 3478, 2565, 3354, 25887, 689, 5616, 888, 2691, 5616, 30397, 513, 3354, 3390, 609, 707, 2272, 1107, 971, 607, 2576, 19883, 538, 689, 606, 7164, 3926, 1107, 621, 786, 4159, 606, 10332, 538, 519, 813, 596, 2461, 4867, 1210, 267, 971, 607, 717, 21166, 563, 1432, 568, 5409, 10332, 888, 29730, 341, 580, 559, 766, 568, 513, 1533, 540, 2799, 10332, 1145, 269, 1403, 596, 2461, 538, 513, 1533, 540, 5409, 341, 580, 559, 766, 267, 596, 2461, 5393, 6213, 547, 707, 10450, 269, 898, 666, 1118, 596, 1745, 899, 596, 2461, 10332, 547, 1022, 6456, 12178, 267, 2436, 689, 824, 1004, 610, 519, 1604, 269, 10705, 267, 1498, 267, 891, 12178, 616, 711, 1483, 563, 1432, 1281, 705, 728, 1611, 888, 842, 4920, 1438, 8231, 269, 476, 272, 2433, 547, 2611, 7123, 610, 6378, 538, 513, 1533, 513, 2648, 602, 705, 3660, 609, 1864, 782, 1010, 2395, 269, 476, 273, 2433, 547, 3136, 538, 513, 1747, 2433, 865, 30394, 333, 786, 705, 728, 538, 519, 2777, 540, 519, 7083, 269, 705, 728, 676, 269, 476, 272, 2433, 547, 14883, 547, 705, 728, 676, 519, 3652, 563, 1692, 798, 594, 917, 952, 513, 5616, 3354, 10332, 568, 1483, 888, 13425, 585, 19035, 2272, 2534, 454, 268, 3619, 547, 707, 5616, 10055, 563, 268, 2201, 519, 2451, 12445, 8470, 267, 4945, 8232, 563, 268, 2201, 519, 10765, 3354, 2621, 8470, 267, 4945, 5623, 3354, 2621, 563, 268, 5623, 707, 2487, 2534, 543, 1413, 585, 14542, 6753, 610, 3457, 563, 1432, 568, 513, 5616, 10332, 585, 707, 2012, 888, 11386, 1325, 1068, 338, 616, 15737, 8850, 2366, 547, 596, 950, 972, 616, 1007, 5616, 2164, 585, 707, 3406, 2474, 269, 1411, 666, 849, 3442, 547, 723, 707, 25887, 9447, 3842, 3049, 547, 519, 3049, 1348, 518, 540, 707, 3903, 630, 324, 3052, 1421, 5616, 24153, 610, 1039, 519, 3049, 547, 707, 1775, 11386, 2985, 1916, 1692, 798, 594, 3247, 5616, 3354, 25887, 888, 273, 12226, 269, 901, 1568, 281, 2201, 707, 717, 21166, 13875, 4216, 1413, 693, 519, 5377, 1318, 7944, 543, 596, 666, 1294, 513, 19672, 7735, 269, 8437, 593, 621, 543, 1287, 593, 519, 1402, 909, 6885, 1689, 519, 19035, 9963, 5468, 563, 1692, 666, 596, 2697, 513, 1085, 600, 1067, 888, 268, 476, 1015, 4191, 596, 2461, 6158, 547, 513, 1085, 600, 1067, 269, 744, 9536, 23302, 6049, 1297, 269, 6693, 268, 744, 9536, 23302, 6049, 1297, 269, 6693, 268, 5548, 26359, 28551, 269, 6693, 268, 11910, 518, 666, 1406, 5968, 269, 6693, 268, 11910, 518, 3081, 972, 779, 513, 1966, 609, 606, 7164, 2272, 269, 6693, 268, 634, 3159, 540, 519, 6643, 3587, 12699, 269, 6693, 268, 1411, 723, 547, 2697, 3054, 269, 6693, 268, 11910, 518, 3096, 513, 13598, 28551, 563, 4692, 2576, 11360, 883, 707, 6049, 676, 10912, 596, 888, 295, 22326, 4635, 513, 25439, 7089, 454, 13434, 1800, 7125, 267, 4464, 532, 7125, 267, 2542, 6835, 267, 543, 4466, 6753, 540, 513, 1880, 3926, 666, 581, 2944, 609, 1569, 547, 519, 9399, 278, 1062, 269, 4014, 267, 1813, 547, 519, 1377, 540, 7411, 267, 621, 568, 12691, 602, 519, 3328, 1268, 1131, 581, 2111, 547, 11360, 513, 6049, 538, 713, 6073, 563, 4692, 513, 1085, 600, 1067, 1569, 1250, 6049, 888, 7312, 6049, 1297, 568, 606, 2653, 3562, 1922, 785, 1883, 602, 666, 581, 1031, 676, 21190, 543, 1085, 27980, 547, 30196, 707, 2123, 1239, 269, 1358, 666, 849, 946, 707, 1297, 538 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

[ 0, 1432, 786, 581, 2877, 585, 960, 454, 2791, 991, 547, 723, 827, 476, 273, 269, 276, 544, 540, 5394, 18052, 267, 971, 568, 4421, 585, 519, 5478, 540, 27656, 2761, 338, 269, 16259, 23805, 267, 513, 14402, 267, 11746, 543, 513, 4062, 540, 21312, 563, 21652, 548, 5663, 1184, 454, 7230, 913, 519, 17180, 689, 519, 3382, 269, 19171, 519, 9133, 540, 519, 18761, 21312, 14816, 538, 3368, 267, 16119, 2842, 621, 547, 519, 17180, 269, 634, 4027, 1590, 711, 13472, 1055, 519, 16405, 267, 1118, 2386, 602, 519, 3259, 540, 519, 21312, 568, 3152, 982, 519, 2450, 540, 519, 17180, 267, 519, 9133, 1590, 581, 18172, 6806, 267, 707, 3106, 5673, 593, 621, 563, 289, 754, 519, 18052, 538, 3368, 267, 1491, 513, 17180, 543, 1747, 513, 18846, 593, 519, 1394, 540, 519, 1283, 540, 519, 6023, 563, 307, 773, 513, 24516, 563, 4407, 1119, 532, 519, 14853, 540, 519, 1318, 1688, 267, 7683, 2046, 519, 18052, 538, 519, 1747, 540, 16937, 267, 798, 711, 1577, 621, 31770, 796, 19055, 2406, 269, 12414, 519, 17180, 936, 269, 22043, 519, 7475, 540, 519, 887, 6647, 563, 307, 773, 519, 1101, 24516, 593, 713, 2427, 269, 634, 5690, 540, 3527, 1281, 711, 8428, 689, 519, 1657, 281, 519, 1318, 1439, 540, 519, 18052, 568, 4092, 2630, 267, 543, 519, 2451, 1657, 269, 634, 2451, 18052, 536, 1742, 543, 568, 14593, 883, 513, 8258, 267, 1287, 519, 24516, 568, 1360, 17401, 9395, 2989, 563, 31282, 519, 17180, 1586, 543, 5679, 527, 519, 24516, 593, 519, 6023, 269, 898, 568, 1360, 1271, 547, 7747, 519, 4341, 281, 538, 519, 5580, 2990, 519, 1482, 1439, 540, 519, 18052, 568, 7683, 267, 538, 938, 2013, 519, 2451, 269, 1809, 621, 1281, 711, 2339, 267, 596, 666, 2141, 3180, 519, 1318, 1439, 540, 519, 18052, 538, 713, 2990, 563, 1805, 20234, 519, 6023, 547, 519, 1360, 1439, 267, 693, 519, 2063, 24516, 2759, 519, 1279, 7475, 540, 519, 18052, 269, 5590, 11735, 827, 476, 276, 6515, 593, 1142, 2427, 563, 299, 7660, 5402, 3002, 1142, 1439, 538, 2490, 267, 519, 18052, 1058, 15835, 267, 855, 711, 6633, 563, 29128, 519, 12249, 814, 22799, 267, 2046, 519, 2427, 540, 519, 23805, 16119, 5196, 519, 2063, 2490, 540, 519, 23090, 563, 3725, 701, 520, 609, 519, 824, 1439, 269, 3767, 519, 7475, 786, 711, 10690, 543, 786, 711, 2150, 4120, 563, 763, 17180, 568, 4712, 547, 946, 267, 7696, 621, 883, 519, 2013, 543, 1491, 621, 609, 596, 593, 15143, 563, 1607, 1826, 540, 6023, 666, 581, 1500, 711, 1152, 585, 31009, 267, 855, 849, 585, 513, 669, 529, 601, 543, 513, 15790, 18782, 3787, 267, 513, 554, 2931, 1177, 543, 513, 3758, 910, 547, 1022, 1688, 2645, 269, 0, 763, 631, 6242, 545, 4521, 849, 4951, 519, 25232, 875, 547, 2661, 513, 1272, 24886, 547, 2696, 269, 2311, 519, 1360, 2547, 267, 621, 729, 3571, 3391, 1504, 547, 13411, 2713, 269, 1809, 1705, 2696, 2709, 811, 982, 602, 286, 1261, 16219, 267, 968, 16605, 1250, 3526, 525, 543, 4031, 267, 585, 519, 812, 945, 1073, 324, 903, 873, 786, 2661, 676, 873, 892, 630, 299, 5271, 12792, 639, 476, 1240, 281, 276, 282, 5635, 1546, 17458, 16860, 476, 275, 281, 272, 1700, 273, 282, 476, 279, 281, 272, 282, 476, 1789, 281, 1428, 1700, 866, 1040, 1548, 1705, 519, 2262, 968, 331, 633, 892, 1611, 538, 891, 18627, 286, 898, 568, 711, 2312, 952, 2696, 729, 5356, 18163, 1272, 998, 519, 4521, 269, 6754, 568, 711, 1360, 2312, 593, 713, 1448, 2901, 630, 4818, 732, 14564, 476, 278, 281, 1015, 609, 8895, 520, 2103, 476, 274, 281, 2641, 1040, 18623, 3112, 1256, 3858, 2436, 6754, 729, 13288, 547, 519, 2898, 631, 6242, 545, 4521, 610, 1175, 547, 851, 540, 621, 630, 5408, 8470, 281, 1548, 1705, 6754, 1611, 676, 968, 10849, 6326, 519, 1876, 892, 286, 1916, 5278, 10271, 4001, 602, 952, 519, 25232, 1185, 1044, 2111, 547, 23491, 621, 267, 519, 631, 6242, 545, 4521, 1223, 723, 4547, 873, 20778, 269, 1358, 2303, 602, 2661, 676, 873, 538, 2274, 10903, 16307, 476, 1240, 281, 276, 5921, 968, 331, 633, 1317, 540, 1073, 324, 3539, 519, 4031, 892, 630, 5408, 26442, 2131, 1408, 476, 3451, 281, 1428, 282, 15623, 476, 866, 281, 1704, 1040, 4340, 547, 713, 2070, 267, 2696, 779, 9153, 540, 20778, 998, 519, 4521, 729, 9758, 267, 855, 2760, 2965, 2009, 1317, 519, 25232, 8959, 269, 4033, 10271, 4001, 602, 1256, 2407, 24150, 547, 519, 631, 6242, 545, 4521, 1223, 711, 723, 4547, 20778, 269, 1358, 2303, 602, 2661, 676, 873, 5921, 547, 2661, 968, 3147, 1800, 892, 547, 519, 4031, 267, 711, 968, 20357, 892, 540, 873, 269, 4340, 547, 713, 2070, 267, 952, 519, 25232, 1031, 519, 1568, 540, 519, 4521, 547, 7118, 20778, 267, 789, 941, 3843, 547, 3715, 741, 1378, 32660, 1765, 1718, 655, 2740, 676, 6754, 538, 14564, 476, 1015, 281, 274, 563, 15371, 610, 711, 2696, 2965, 6035, 18163, 1272, 998, 519, 631, 6242, 545, 4521, 267, 519, 25232, 1705, 711, 267, 538, 1249, 267, 23491, 621, 269, 8307, 2696, 779, 11419, 729, 2111, 547, 4688, 873, 269, 634, 1715, 11620, 2306, 621, 2312, 602, 1100, 835, 814, 1044, 2111, 547, 7118, 20778, 676, 1568, 1765, 928, 2416, 676, 1568, 540, 519, 4521, 630, 29727, 520, 2103, 476, 273, 281, 1626, 264, 6862, 676, 1022, 824, 2186, 540, 1434, 1568, 630, 305, 30689, 476, 275, 281, 276, 282, 9210, 1127, 2103, 476, 273, 281, 279, 1700, 280, 1040, 4475, 267, 782, 10271, 3858, 602, 519, 4521, 2760, 2965, 10710, 4896, 269, 1717, 267, 782, 798, 711, 3858, 827, 519, 11173, 28252, 540, 519, 631, 6242, 545, 4521, 585, 10271, 269, 634, 24279, 2838, 676, 519, 4521, 267, 540, 1576, 267, 941, 8694, 676, 741, 20106, 538, 2441, 630, 3891, 3691, 9749, 30667, 476, 280, 1700, 1015, 1040, 1809, 1058, 10271, 2119, 547, 23491, 519, 1964, 540, 519, 4521, 540, 15584, 538, 1931, 547, 2661, 13411, 2729, 286, 1703, 616, 1079, 1292, 4267, 563, 763, 631, 6242, 545, 4521, 8033, 1132, 585, 10271, 454, 763, 1101, 1292, 2626, 568, 267, 968, 8133, 267, 10271, 1058, 2119, 547, 1246, 519, 631, 6242, 545, 4521, 1848, 8409, 4758, 713, 2626, 4001, 602, 519, 631, 6242, 545, 4521, 2141, 729, 2696, 779, 4521, 267, 543, 2141, 786, 2611, 2696, 779, 4521, 269, 4475, 267, 10271, 1058, 3136, 547, 1246, 519, 631, 6242, 545, 4521, 585, 13411, 2713, 269, 1358, 11168, 15623, 476, 276, 281, 1704, 1700, 866, 267, 1141, 4906, 1767, 267, 968, 296, 723, 711, 2097, 547, 13373, 880, 873, 630, 1492, 4521, 610, 519, 11330, 515, 1206, 264, 855, 547, 11886, 873, 1848, 1358, 3494, 602, 547, 11886, 5921, 968, 1729, 6166, 610, 6445, 909, 2223, 711, 968, 1729, 9096, 1848, 4906, 1419, 5587, 1881, 519, 4521, 779, 3020, 2495, 1996, 519, 27390, 7301, 2495, 6026, 676, 519, 1912, 541, 1047, 525, 630, 31861, 476, 276, 281, 866, 1070, 543, 1261, 2620, 2989, 519, 4521, 779, 2495, 676, 13031, 519, 3741, 3297, 621, 630, 276, 281, 2641, 1700, 4366, 1040, 4906, 1767, 602, 2394, 13140, 543, 3618, 14897, 711, 835, 4484, 610, 4050, 3613, 6593, 786, 676, 1022, 1797, 14897, 689, 519, 4521, 630, 31861, 476, 276, 281, 1240, 1040, 4475, 713, 1895, 11099, 10271, 1058, 2259, 543, 4001, 519, 2547, 540, 891, 4971, 906, 630, 276, 281, 866, 1040, 1358, 3494, 602, 6754, 779, 3948, 602, 2441, 568, 519, 1439, 540, 519, 1876, 5921, 602, 1261, 568, 519, 968, 704, 325, 1254, 892, 610, 968, 2998, 531, 892, 540, 519, 4521, 630, 305, 30689, 476, 1015, 281, 275, 1040, 634, 10752, 540, 1346, 16561, 713, 1101, 2626, 666, 581, 24298, 676, 1079, 1292, 3741, 563, 5575, 540, 782, 267, 789, 8044, 602, 972, 568, 1100, 1483, 3017, 1063, 519, 6196, 543, 519, 1715, 11620, 3823, 2696, 779, 5837, 1876, 269, 1358, 11168, 519, 5817, 9322, 543, 15364, 538, 519, 6426, 269, 1358, 1448, 856, 602, 1256, 519, 22258, 729, 840, 3737, 538, 519, 6196, 11620, 630, 305, 30689, 476, 272, 281, 272, 1700, 273, 282, 8895, 520, 2103, 476, 274, 281, 279, 282, 1261, 3691, 9749, 476, 275, 281, 273, 1040, 4340, 547, 713, 2626, 267, 519, 631, 6242, 545, 4521, 729, 711, 513, 23249, 538, 2696, 779, 968, 322, 19879, 540, 11419, 892, 630, 5408, 4937, 9137, 281, 595, 8576, 1218, 543, 2598, 335, 839, 725, 1070, 855, 513, 3844, 851, 540, 3571, 26315, 609, 3571, 1004, 269, 634, 4521, 729, 2760, 3983, 267, 610, 10353, 547, 2696, 779, 14767, 267, 855, 13411, 543, 1434, 630, 305, 30689, 476, 278, 281, 1321, 282, 8895, 520, 2103, 476, 274, 281, 2641, 1040, 4634, 538, 519, 6196, 11620, 267, 2696, 779, 11419, 729, 2877, 547, 4688, 3571, 1004, 269, 2696, 1185, 2907, 9447, 519, 25232, 689, 5527, 1354, 1261, 5795, 873, 519, 631, 6242, 545, 4521, 630, 2750, 21402, 476, 736, 281, 273, 1040, 4634, 538, 519, 6196, 11620, 267, 14174, 18952, 538, 2696, 729, 519, 1152, 1259, 547, 20778, 267, 4352, 24150, 729, 18796, 607, 1134, 630, 5719, 17458, 16860, 476, 280, 281, 2537, 1700, 2190, 1040, 9474, 6938, 295, 4456, 729, 26916, 585, 1010, 5132, 630, 7049, 8412, 476, 1428, 281, 277, 1070, 607, 1134, 607, 585, 5329, 2696, 779, 12981, 543, 4031, 1765, 29592, 519, 631, 6242, 545, 4521, 729, 2016, 630, 7049, 8412, 476, 2918, 281, 275, 1700, 276, 1040, 634, 2854, 4521, 1705, 711, 17591, 2696, 779, 7938, 9287, 1876, 267, 2016, 547, 14062, 543, 519, 24663, 338, 1279, 1354, 269, 634, 5837, 4170, 540, 2696, 941, 3020, 1354, 519, 631, 6242, 545, 4521, 267, 543, 616, 1869, 3020, 1310, 4906, 18591, 563, 13553, 267, 891, 5640, 849, 3494, 602, 519, 631, 6242, 545, 4521, 3788, 513, 8628, 851, 540, 519, 1007, 26315, 630, 11679, 531, 332, 476, 9340, 281, 278, 1700, 279, 1040, 25360, 332, 476, 15686, 10645, 602, 2696, 779, 4031, 616, 18163, 543, 786, 2063, 11014, 630, 15686, 281, 13893, 267, 13923, 267, 8182, 1040, 634, 28556, 12038, 540, 2696, 779, 4521, 11173, 547, 519, 2063, 2395, 630, 3674, 320, 11672, 476, 273, 281, 273, 1700, 274, 282, 26442, 2131, 1408, 476, 1556, 281, 736, 1040, 4340, 547, 713, 1895, 267, 519, 1876, 540, 2441, 630, 29727, 520, 2103, 476, 277, 281, 273, 264, 568, 519, 1482, 607, 519, 4521, 540, 15584, 269, 1358, 1810, 1406, 3494, 2696, 814, 1022, 824, 2186, 540, 1876, 267, 607, 2696, 1281, 711, 17591, 13924, 1345, 269, 4906, 19230, 1996, 8840, 835, 540, 519, 2547, 540, 891, 4971, 906, 267, 13288, 547, 519, 631, 6242, 545, 4521, 630, 31861, 476, 276, 281, 866, 1040, 4014, 4906, 6026, 602, 5126, 267, 23502, 543, 5132, 6888, 941, 519, 811, 1271, 6927, 540, 519, 1876, 267, 1261, 3773, 602, 519, 1912, 541, 1047, 525, 1058, 711, 10714, 519, 5707, 515, 540, 741, 14546, 2901, 630, 31861, 476, 2537, 281, 2537, 1040, 6754, 10645, 602, 676, 5132, 649, 27481, 519, 1876, 630, 305, 30689, 476, 274, 281, 4029, 1040, 1452, 10271, 3494, 602, 519, 4521, 540, 519, 1007, 26315, 568, 519, 1482, 607, 519, 2854, 4521, 540, 519, 2025, 26315, 267, 1175, 2016, 538, 513, 1114, 1106, 269, 1358, 4001, 602, 14564, 476, 1015, 281, 275, 5921, 2441, 729, 519, 968, 2998, 531, 892, 540, 519, 631, 6242, 545, 4521, 267, 711, 519, 1439, 540, 519, 28252, 540, 519, 4521, 269, 6276, 5219, 547, 2274, 10903, 16307, 476, 866, 281, 1240, 543, 1546, 17458, 16860, 476, 272, 281, 1704, 607, 519, 10424, 1876, 1336, 538, 23075, 630, 22832, 476, 273, 281, 279, 1700, 280, 1040, 6754, 29739, 593, 5329, 2696, 779, 12981, 630, 272, 29833, 2103, 476, 278, 281, 866, 1070, 543, 7396, 1082, 540, 519, 14210, 16710, 906, 538, 14564, 476, 1724, 281, 279, 1700, 1015, 269, 3414, 519, 631, 6242, 545, 26315, 2696, 5551, 513, 15962, 267, 13411, 2078, 609, 3571, 1004, 269, 901, 1895, 11414, 602, 519, 1007, 26315, 729, 513, 25430, 540, 602, 2078, 267, 711, 513, 4625, 1007, 11460, 630, 297, 699, 31109, 476, 4029, 281, 3451, 1916, 5278, 540, 891, 21071, 2303, 519, 2241, 6240, 281, 968, 13731, 2103, 1058, 1246, 782, 540, 519, 12981, 540, 519, 631, 6242, 545, 4521, 267, 4849, 1346, 4481, 4957, 610, 27618, 676, 4906, 2441, 610, 519, 19980, 956, 1848, 272, 1809, 1034, 540, 1346, 945, 3494, 519, 4521, 5170, 798, 711, 3398, 971, 513 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

[ 972, 568, 1100, 10539, 827, 1018, 2115, 547, 581, 4824, 269, 8528, 275, 269, 2422, 513, 3318, 3159, 281, 19321, 513, 3318, 3159, 267, 1256, 952, 519, 5955, 568, 2942, 269, 3680, 1210, 10792, 1893, 610, 10404, 1944, 519, 2278, 13948, 269, 8528, 276, 269, 20644, 10372, 281, 3629, 1808, 10372, 585, 875, 519, 2278, 666, 2087, 741, 960, 269, 901, 1223, 1331, 17370, 1800, 5220, 267, 1210, 1114, 2959, 267, 610, 22198, 4474, 512, 10640, 763, 1650, 2115, 547, 1331, 513, 8903, 543, 6397, 4729, 6335, 269, 2659, 2239, 1058, 13469, 609, 519, 13597, 543, 2123, 5905, 1336, 538, 8468, 5717, 269, 3417, 11541, 2621, 543, 3929, 3178, 563, 0, 769, 513, 1507, 4884, 3957, 15306, 6807, 267, 5030, 1079, 1655, 2828, 1107, 15207, 543, 25381, 269, 1358, 941, 1312, 476, 1015, 1296, 2025, 543, 6068, 2029, 269, 2290, 13566, 12784, 267, 1247, 544, 684, 4221, 593, 741, 5172, 11945, 533, 625, 267, 789, 3323, 7234, 799, 729, 519, 1655, 6049, 547, 4444, 896, 19238, 373, 5611, 876, 780, 20755, 3240, 6700, 267, 834, 3963, 1810, 1405, 649, 2307, 6004, 269, 717, 611, 1326, 267, 938, 2199, 10509, 4274, 8119, 25381, 8815, 9020, 16484, 267, 834, 15124, 2856, 256, 1261, 6487, 782, 827, 19269, 1701, 1924, 1055, 789, 4682, 267, 23362, 8876, 741, 1592, 540, 1761, 16389, 780, 2026, 789, 14059, 6004, 269, 717, 611, 1326, 781, 4558, 267, 646, 30870, 873, 27145, 543, 4280, 1018, 4547, 1346, 6505, 1159, 3796, 547, 1010, 6300, 2221, 269, 2060, 4064, 31394, 609, 10761, 267, 15207, 1767, 267, 834, 2171, 1616, 547, 917, 799, 568, 519, 1655, 6049, 547, 4444, 896, 19238, 373, 5611, 876, 15323, 16031, 269, 717, 611, 1326, 1989, 514, 2740, 267, 3576, 856, 1010, 3172, 4328, 4837, 267, 543, 6743, 693, 741, 1592, 5402, 269, 2991, 930, 15826, 8090, 267, 646, 3459, 4687, 3877, 827, 1142, 2203, 910, 12514, 267, 21932, 267, 9075, 267, 543, 2949, 3593, 2833, 269, 3245, 519, 18161, 4596, 2473, 274, 609, 922, 9735, 476, 6344, 21636, 5496, 547, 519, 7464, 1889, 476, 279, 781, 13085, 476, 5038, 12463, 8254, 267, 1169, 1469, 1500, 15207, 543, 25381, 811, 8049, 982, 2479, 1354, 2439, 5475, 6947, 32348, 267, 1776, 2243, 1402, 6244, 909, 538, 741, 8186, 910, 12984, 333, 1405, 713, 2147, 547, 4466, 519, 1655, 15692, 3926, 896, 19238, 373, 5611, 876, 286, 30985, 267, 789, 844, 518, 1221, 6004, 269, 717, 611, 1326, 952, 972, 729, 1022, 3017, 1063, 519, 1079, 2055, 780, 4415, 1000, 1074, 1782, 4064, 2407, 540, 7326, 267, 6004, 269, 717, 611, 1326, 6045, 267, 834, 17829, 2055, 3100, 7567, 267, 855, 2965, 267, 789, 5749, 1405, 3833, 865, 269, 2755, 1034, 1434, 11436, 2887, 883, 519, 15692, 7121, 267, 711, 782, 1656, 28281, 3514, 519, 1412, 12895, 6049, 262, 2140, 1813, 547, 3604, 538, 5665, 1949, 543, 2688, 3074, 3010, 30342, 7138, 1194, 2943, 27278, 267, 15207, 543, 25381, 4797, 1565, 827, 1585, 3457, 2429, 519, 1554, 269, 9282, 789, 4769, 1405, 1265, 606, 6207, 16771, 1851, 519, 5079, 267, 789, 2451, 2348, 4362, 1945, 1256, 1732, 910, 875, 4241, 543, 1950, 519, 1158, 540, 2029, 5963, 729, 256, 0, 2237, 606, 3872, 1650, 630, 274, 268, 276, 9433, 264, 6098, 693, 1762, 1453, 1210, 2241, 1913, 269, 634, 1650, 1058, 581, 6273, 689, 713, 1257, 6256, 281, 3097, 2108, 5575, 2243, 281, 6904, 568, 519, 1655, 6049, 547, 4444, 896, 476, 5611, 876, 888, 13553, 2243, 281, 6904, 568, 519, 1655, 543, 5514, 3926, 547, 4444, 896, 19238, 373, 5611, 876, 888, 6701, 891, 1079, 2055, 6998, 519, 1482, 3364, 888, 302, 6877, 281, 1496, 328, 316, 1100, 269, 1496, 4512, 316, 9811, 563, 5575, 267, 1577, 803, 2232, 519, 1079, 2055, 596, 723, 4280, 267, 4553, 676, 16460, 2436, 789, 616, 6998, 519, 1482, 3364, 610, 711, 780, 5575, 2243, 281, 6904, 568, 519, 1655, 6049, 547, 4444, 896, 476, 5611, 876, 2496, 1103, 519, 3902, 2039, 540, 896, 476, 5611, 876, 267, 972, 616, 1896, 11436, 602, 596, 666, 2015, 269, 1717, 267, 519, 1655, 6049, 786, 4096, 593, 707, 2123, 7375, 543, 4170, 269, 1452, 1331, 2188, 971, 607, 2773, 267, 8254, 2298, 267, 6007, 1272, 267, 543, 3301, 1995, 269, 2368, 540, 519, 1655, 2139, 3681, 538, 713, 3902, 10126, 616, 1384, 272, 269, 18161, 4596, 2473, 274, 281, 634, 18161, 4596, 2473, 274, 3091, 513, 476, 6344, 13703, 29295, 2557, 4159, 267, 10965, 777, 323, 16400, 476, 278, 3953, 294, 16267, 267, 476, 7785, 271, 332, 25105, 6007, 267, 543, 513, 22712, 2275, 600, 5028, 14764, 593, 519, 1394, 780, 273, 269, 7464, 1889, 476, 279, 281, 634, 7464, 1889, 476, 279, 2501, 609, 513, 9012, 307, 2131, 4477, 1470, 717, 4817, 16267, 267, 476, 5038, 6573, 3642, 22712, 2275, 600, 5028, 267, 543, 513, 476, 4335, 271, 332, 25105, 6007, 609, 476, 1789, 310, 3728, 12123, 24101, 10640, 763, 1650, 3085, 1406, 723, 547, 581, 5466, 3388, 538, 519, 6256, 267, 621, 568, 972, 1175, 585, 6667, 563, 763, 1650, 1058, 723, 519, 1739, 2934, 281, 3097, 268, 3163, 5610, 281, 7842, 2596, 2257, 2035, 1369, 519, 1650, 267, 7713, 873, 998, 519, 3197, 262, 9035, 543, 8906, 269, 1280, 1383, 267, 952, 519, 1650, 2882, 513, 6429, 1141, 3197, 616, 3168, 693, 519, 6607, 267, 596, 1223, 723, 873, 4898, 1946, 621, 781, 4544, 543, 2491, 519, 6323, 3297, 538, 3446, 1153, 1377, 563, 268, 15511, 281, 1331, 693, 2547, 835, 5188, 543, 16367, 6643, 563, 268, 17023, 6335, 281, 9959, 609, 513, 6335, 602, 3085, 1405, 8207, 607, 12479, 267, 855, 3762, 513, 2312, 3992, 827, 1272, 543, 2257, 563, 2710, 711, 1376, 609, 5929, 5220, 899, 834, 5629, 2390, 513, 942, 2580, 581, 3860, 269, 0, 6092, 5149, 281, 1133, 24286, 9147, 31981, 910, 634, 5295, 540, 3778, 543, 5678, 692, 8893, 476, 272, 281, 1548, 568, 3778, 540, 3163, 2496, 5331, 952, 649, 1223, 2951, 1394, 538, 942, 543, 2307, 3504, 3744, 875, 789, 4362, 1007, 1919, 827, 519, 1158, 1472, 721, 256, 2755, 942, 6191, 616, 1869, 1175, 2257, 5708, 267, 12206, 723, 1044, 2111, 547, 10625, 4241, 2984, 827, 930, 6909, 17024, 945, 5030, 1279, 3516, 269, 1635, 4974, 741, 12591, 267, 2645, 267, 543, 8906, 267, 891, 12206, 948, 721, 1174, 875, 1004, 4121, 827, 519, 2067, 1158, 2429, 1686, 269, 901, 2361, 540, 1353, 568, 1572, 834, 20931, 540, 2257, 2437, 543, 621, 781, 899, 1373, 513, 19792, 2650, 1424, 1927, 10881, 2451, 3297, 676, 13085, 8186, 780, 4131, 781, 1491, 513, 1413, 693, 835, 1383, 281, 9894, 596, 917, 972, 941, 5640, 1354, 5904, 945, 23125, 856, 5863, 2081, 547, 5173, 2338, 543, 4194, 7294, 2042, 1210, 1152, 4050, 543, 1957, 286, 2290, 971, 1268, 729, 20435, 14161, 26179, 12821, 1380, 267, 4535, 538, 476, 10082, 278, 538, 5125, 269, 4634, 607, 513, 1126, 267, 646, 4951, 11108, 13007, 585, 6128, 269, 2311, 519, 2085, 540, 5722, 267, 646, 22035, 1639, 1010, 4116, 676, 3533, 4946, 909, 782, 519, 9981, 689, 476, 272, 547, 476, 1911, 1107, 666, 596, 4952, 3257, 602, 865, 3728, 1510, 513, 9498, 286, 2334, 781, 1018, 649, 1289, 513, 2979, 605, 21745, 344, 256, 1306, 646, 8057, 4587, 267, 12821, 1380, 4797, 1818, 1713, 7418, 547, 1585, 4610, 1519, 1297, 3069, 267, 7223, 267, 7194, 267, 2079, 267, 11186, 9511, 267, 2520, 3941, 344, 267, 2520, 2684, 12695, 267, 11707, 267, 6850, 560, 18267, 267, 17651, 267, 5119, 3069, 267, 543, 25852, 269, 26272, 256, 3143, 4898, 646, 781, 2808, 835, 540, 519, 6574, 22697, 540, 782, 942, 2439, 12244, 281, 23239, 754, 596, 2811, 513, 14787, 4974, 12821, 1380, 262, 1272, 269, 3503, 1524, 1614, 4277, 5013, 596, 1131, 1616, 547, 2671, 609, 1866, 827, 1864, 780, 8893, 476, 273, 281, 5463, 5317, 23452, 19932, 692, 3086, 1577, 781, 2263, 1776, 10578, 1858, 5702, 5532, 547, 519, 1686, 540, 2257, 281, 21264, 532, 4503, 4654, 269, 5620, 596, 2479, 6836, 2542, 707, 3237, 262, 2025, 5022, 610, 1019, 2456, 2854, 538, 513, 5728, 3009, 286, 898, 7959, 899, 6061, 513, 11015, 267, 3085, 1405, 621, 286, 3767, 4605, 3843, 547, 1232, 1712, 6835, 2854, 5215, 540, 1296, 3516, 538, 4654, 602, 18864, 14753, 15042, 256, 2334, 781, 4010, 1018, 8059, 1235, 798, 950, 789, 960, 593, 21264, 532, 4666, 4654, 780, 3080, 4583, 2013, 3322, 12430, 645, 267, 513, 7097, 1031, 676, 29901, 523, 2801, 534, 16380, 1472, 476, 13970, 271, 268, 9610, 271, 7460, 269, 1280, 5553, 267, 5640, 7948, 1405, 1224, 621, 2394, 7812, 20764, 5142, 29618, 922, 3009, 538, 476, 4198, 273, 269, 3807, 899, 6061, 513, 9814, 267, 20764, 5142, 3379, 12430, 645, 5931, 609, 1634, 1913, 689, 824, 3504, 5259, 22463, 269, 16828, 267, 646, 7691, 602, 12430, 645, 6592, 606, 2038, 1106, 540, 5259, 256, 3571, 6602, 8118, 909, 513, 2898, 1007, 6885, 883, 1620, 519, 2729, 540, 29901, 523, 2801, 753, 780, 12244, 281, 6056, 540, 513, 2241, 18839, 29905, 1141, 1142, 4484, 540, 519, 9904, 14687, 547, 1776, 4484, 630, 1721, 1383, 267, 1412, 288, 262, 3587, 1412, 313, 3299, 1412, 289, 262, 3587, 1412, 312, 3299, 3092, 12175, 3503, 513, 2110, 4845, 267, 31391, 621, 1210, 713, 29905, 267, 543, 4161, 513, 3659, 547, 1232, 1712, 621, 780, 8893, 476, 274, 281, 11628, 6406, 3074, 9453, 5675, 7010, 692, 7661, 267, 1577, 781, 2015, 12977, 602, 4769, 1405, 946, 1603, 1949, 855, 1869, 7307, 547, 3035, 11141, 905, 1846, 269, 6875, 519, 5549, 320, 7276, 538, 3162, 3013, 267, 585, 3236, 269, 6736, 2348, 1100, 6101, 1603, 1062, 267, 789, 2919, 10427, 11265, 2553, 267, 6694, 2853, 267, 543, 1256, 9738, 513, 1950, 11706, 269, 5502, 540, 1603, 267, 789, 1031, 24516, 1540, 12673, 1572, 844, 760, 639, 547, 2594, 1344, 269, 2372, 924, 19782, 1190, 267, 1318, 2496, 4913, 267, 1317, 649, 1810, 1405, 4628, 1174, 519, 2495, 3297, 1169, 1826, 540, 24516, 1031, 538, 844, 760, 639, 267, 1082, 3344, 540, 769, 4754, 2528, 2611, 695, 709, 4765, 538, 9814, 269, 16480, 267, 18840, 5505, 543, 12206, 1832, 2324, 2182, 547, 1451, 811, 827, 873, 267, 7444, 890, 9934, 2476, 6106, 540, 1686, 1454, 899, 606, 22323, 780, 12244, 281, 5071, 707, 1378, 12572, 1893, 1210, 5546, 267, 4778, 267, 610, 6698, 3079, 540, 5022, 269, 8073, 513, 5048, 1210, 707, 1007, 1893, 543, 1294, 952, 513, 1362, 22940, 666, 7157, 4612, 621, 2439, 9961, 713, 1576, 1770, 267, 649, 4312, 3460, 539, 998, 942, 3695, 1114, 18125, 540, 519, 1686, 540, 2257, 267, 1642, 1386, 883, 519, 2591, 540, 21264, 532, 4503, 4654, 267, 543, 14952, 539, 693, 12977, 602, 4278, 1882, 1510, 2757, 1603, 1949, 269, 5457, 267, 1565, 827, 1686, 3884, 1405, 1175, 8357, 1944, 7389, 543, 2621, 282, 621, 781, 849, 827, 19825, 1480, 27265, 2066, 4529, 543, 21971, 269, 0, 2080, 568, 606, 1349, 689, 513, 2546, 912, 257, 272, 717, 269, 590, 691, 517, 267, 968, 8002, 320, 693, 4302, 16786, 2223, 5246, 269, 2028, 520, 269, 546, 685, 7290, 334, 790, 964, 9443, 476, 1789, 267, 476, 27088, 1700, 32579, 630, 4198, 272, 1040, 14181, 327, 4752, 729, 519, 13653, 540, 519, 14600, 974, 559, 684, 2102, 1990, 584, 717, 525, 577, 747, 974, 3541, 2405, 714, 514, 3768, 3541, 715, 4405, 342, 1170, 839, 577, 2378, 1084, 630, 2412, 2019, 338, 5919, 476, 5002, 273, 268, 3707, 273, 1070, 799, 267, 607, 519, 2140, 8612, 267, 729, 13991, 547, 519, 1686, 1101, 267, 540, 4915, 267, 543, 2034, 267, 540, 2257, 563, 273, 594, 1031, 519, 2034, 15428, 7160, 540, 2019, 338, 269, 476, 272, 268, 275, 630, 6245, 277, 267, 476, 6245, 279, 267, 476, 6245, 280, 267, 476, 5002, 271, 264, 543, 519, 1101, 540, 2019, 269, 476, 276, 630, 6245, 280, 1916, 274, 589, 1592, 540, 873, 267, 538, 1931, 540, 2669, 1296, 267, 949, 581, 10375, 281, 6754, 18000, 1676, 344, 630, 7277, 274, 1700, 5002, 275, 5148, 19555, 2335, 667, 1408, 338, 630, 7277, 279, 1700, 4572, 273, 5148, 21238, 15867, 529, 564, 630, 7277, 276, 1700, 4572, 274, 5148, 2977, 534, 23160, 341, 580, 1261, 756, 1120, 630, 6977, 275, 1700, 4572, 279, 5148, 21853, 5341, 13153, 12070, 600, 578, 6308, 5336, 334, 749, 754, 528, 742, 630, 7277, 279, 1700, 4350, 272, 1070, 24381, 823, 15867, 529, 564, 630, 7277, 277, 1700, 4350, 276, 1070, 11184, 7338, 9741 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

[ 519, 11809, 984, 5211, 779, 2095, 269, 634, 2481, 729, 3710, 936, 519, 1576, 540, 476, 274, 1296, 267, 689, 476, 1220, 275, 547, 476, 1220, 278, 563, 7049, 269, 623, 2925, 345, 631, 2313, 541, 2378, 9250, 519, 11036, 538, 476, 1220, 278, 267, 543, 621, 814, 1044, 4881, 2479, 2094, 269, 898, 2337, 11125, 622, 7404, 2127, 267, 4352, 960, 568, 1869, 1373, 2944, 547, 1711, 513, 6198, 12555, 8905, 998, 519, 2481, 563, 763, 17939, 752, 345, 2967, 12456, 814, 1044, 2629, 538, 4509, 519, 5757, 779, 1216, 2095, 543, 568, 513, 1134, 2000, 27419, 10278, 585, 21621, 7264, 563, 288, 1447, 1134, 8153, 2481, 538, 590, 785, 327, 779, 808, 4461, 1817, 334, 10588, 568, 1572, 519, 11023, 1177, 520, 12456, 269, 898, 729, 3710, 538, 476, 275, 1296, 543, 568, 4092, 593, 519, 715, 2967, 645, 3757, 5211, 269, 769, 476, 1001, 274, 267, 1306, 604, 18498, 2098, 731, 926, 13166, 8118, 519, 2481, 269, 634, 2481, 814, 513, 476, 5611, 2929, 12945, 11281, 1216, 4859, 4390, 563, 1607, 2481, 5097, 2337, 609, 519, 12555, 540, 7404, 4610, 543, 5713, 607, 513, 17552, 5371, 1858, 585, 17137, 945, 2951, 689, 5754, 1457, 21171, 543, 10127, 25764, 563, 1103, 631, 1014, 28549, 267, 23570, 267, 519, 21601, 531, 630, 24836, 6143, 264, 12456, 568, 4092, 593, 519, 6316, 540, 21601, 531, 9503, 269, 898, 729, 3710, 676, 3703, 8030, 538, 476, 4489, 274, 267, 799, 6941, 1946, 621, 568, 865, 2025, 855, 568, 1869, 513, 6198, 2481, 563, 763, 1858, 568, 536, 23912, 676, 23617, 1031, 585, 8105, 267, 799, 11125, 622, 519, 2244, 269, 898, 814, 2919, 883, 513, 4099, 585, 4955, 7992, 5017, 267, 19788, 6177, 342, 520, 7129, 563, 299, 11343, 593, 519, 5211, 1473, 639, 538, 23570, 267, 519, 932, 1662, 2742, 12456, 568, 2966, 585, 1216, 4859, 543, 1379, 5108, 269, 898, 779, 851, 540, 513, 3677, 1950, 540, 21394, 543, 23668, 563, 294, 327, 21532, 4446, 1054, 320, 10281, 1886, 1077, 5741, 454, 1607, 1788, 568, 593, 519, 1473, 639, 5211, 2282, 5900, 1442, 267, 23570, 269, 898, 568, 835, 540, 519, 4102, 19558, 1077, 3785, 538, 9031, 543, 4249, 513, 1713, 1909, 538, 5201, 5108, 563, 4322, 616, 519, 1713, 21394, 538, 9031, 269, 634, 2197, 814, 1082, 824, 4130, 21394, 267, 3046, 571, 2471, 267, 543, 23854, 602, 15217, 1404, 2629, 5107, 538, 5883, 1216, 2200, 267, 6683, 267, 543, 5201, 2504, 269, 898, 779, 1271, 547, 4063, 602, 519, 1297, 543, 4567, 540, 21394, 949, 1689, 1813, 547, 5571, 4070, 3785, 543, 2229, 7341, 269, 1280, 519, 1034, 909, 3562, 15082, 543, 3102, 1344, 267, 621, 779, 19624, 547, 3277, 547, 4013, 2959, 610, 2487, 5359, 593, 9031, 779, 1216, 5989, 269, 0, 268, 6215, 1938, 281, 476, 279, 454, 306, 27542, 12071, 1890, 634, 11359, 3693, 540, 519, 476, 277, 1341, 476, 272, 5675, 3004, 1080, 454, 1432, 568, 4845, 21711, 286, 1284, 782, 917, 1018, 513, 4845, 568, 269, 9406, 286, 562, 12071, 1890, 568, 950, 1945, 7575, 609, 5347, 1145, 543, 8897, 269, 562, 22054, 266, 31880, 1890, 284, 562, 29941, 602, 2095, 12347, 1927, 269, 562, 454, 24868, 1214, 568, 1434, 256, 7352, 1214, 1107, 1114, 5686, 543, 2338, 540, 1919, 269, 562, 7352, 1214, 538, 4845, 21711, 568, 513, 1297, 540, 1114, 13080, 267, 20297, 267, 543, 5686, 540, 5220, 269, 562, 12315, 606, 1383, 540, 1945, 609, 513, 2603, 540, 3099, 563, 299, 9975, 562, 2422, 1114, 4845, 13080, 269, 562, 1279, 543, 12701, 344, 5220, 562, 589, 1279, 942, 3516, 267, 693, 8285, 942, 267, 1169, 1032, 1250, 2898, 1920, 1131, 979, 782, 519, 1259, 1524, 547, 12548, 547, 979, 547, 31225, 4911, 773, 779, 2777, 269, 562, 2110, 543, 2879, 7026, 5220, 562, 5272, 8285, 649, 1185, 513, 1390, 942, 563, 306, 27542, 23548, 25751, 562, 3399, 5220, 609, 513, 3099, 540, 20297, 562, 562, 594, 993, 2731, 6126, 547, 581, 707, 4116, 269, 594, 4126, 649, 723, 1187, 713, 1032, 269, 594, 786, 4001, 596, 1082, 1007, 1919, 269, 594, 993, 6126, 596, 616, 538, 1250, 1362, 269, 1215, 1131, 596, 1689, 713, 5037, 286, 562, 594, 993, 4278, 2683, 547, 581, 707, 4116, 269, 901, 1032, 786, 581, 2407, 540, 1187, 543, 1565, 269, 898, 568, 3078, 547, 723, 596, 538, 1250, 1362, 563, 30747, 338, 540, 29941, 562, 1703, 616, 1114, 5686, 540, 5220, 269, 562, 2241, 1107, 835, 4830, 2219, 562, 562, 7623, 1107, 1079, 610, 811, 2241, 5220, 562, 562, 1684, 16933, 2661, 538, 519, 2749, 286, 608, 743, 600, 2218, 910, 608, 17474, 562, 562, 595, 3298, 543, 5243, 1810, 1406, 1205, 2059, 269, 23827, 2510, 1107, 2243, 562, 562, 634, 10800, 22655, 6371, 543, 4779, 657, 693, 519, 2915, 269, 3616, 541, 894, 1107, 3948, 562, 562, 589, 10800, 22655, 6371, 269, 594, 993, 865, 9599, 827, 7487, 513, 10800, 256, 16122, 1107, 4971, 562, 5213, 1406, 3049, 519, 16933, 538, 713, 27892, 563, 306, 27542, 12071, 1890, 3367, 707, 1603, 16965, 543, 6432, 547, 621, 779, 11733, 269, 562, 562, 1684, 596, 946, 513, 3099, 540, 4845, 13080, 286, 1684, 596, 946, 1114, 4845, 20297, 286, 3657, 972, 1114, 5686, 540, 5220, 538, 707, 1603, 286, 1306, 596, 2095, 1524, 519, 5757, 540, 707, 1603, 267, 568, 621, 14299, 6853, 543, 11315, 610, 1281, 621, 2095, 538, 513, 2067, 11733, 888, 12988, 547, 5680, 8525, 5990, 13673, 291, 0, 32381, 540, 2436, 596, 2461, 513, 3978, 2875, 540, 1893, 610, 711, 267, 1565, 5824, 666, 948, 596, 538, 811, 2081, 982, 454, 9767, 666, 4952, 269, 634, 1034, 1271, 835, 1373, 602, 1034, 540, 519, 2564, 267, 3656, 267, 543, 1256, 22257, 3822, 1031, 454, 339, 3736, 568, 1759, 593, 5824, 269, 1924, 267, 952, 596, 2461, 18481, 8036, 538, 6340, 543, 1620, 5824, 267, 596, 4076, 2907, 454, 25969, 3368, 540, 891, 27964, 1510, 1256, 1483, 2358, 563, 6597, 3539, 5824, 11414, 596, 811, 982, 1175, 519, 1893, 3294, 269, 5502, 267, 621, 3947, 596, 606, 5813, 883, 519, 454, 1782, 340, 2065, 5072, 540, 519, 2296, 1893, 543, 538, 1529, 322, 919, 2565, 3206, 1983, 269, 901, 568, 513, 1713, 5413, 454, 1721, 596, 1100, 2339, 1018, 2470, 540, 960, 596, 3442, 269, 4804, 5824, 568, 606, 7533, 851, 540, 1620, 8106, 454, 322, 2753, 5314, 269, 1280, 2540, 1310, 2540, 267, 519, 4529, 543, 4654, 602, 7960, 723, 6854, 741, 5824, 5072, 607, 649, 454, 560, 650, 1294, 865, 10423, 569, 2221, 269, 19932, 971, 607, 27272, 543, 5824, 7471, 547, 1106, 1018, 568, 1634, 607, 2296, 454, 31142, 849, 18549, 10607, 707, 1983, 538, 2296, 2094, 1079, 22188, 540, 519, 2296, 1893, 568, 6508, 689, 454, 31142, 269, 1452, 1983, 786, 6961, 30883, 24207, 585, 596, 267, 2436, 596, 2461, 1603, 707, 5098, 610, 26004, 909, 513, 3656, 454, 2254, 823, 585, 5480, 269, 769, 1249, 267, 621, 814, 1044, 4080, 602, 1004, 945, 1491, 5824, 998, 741, 15938, 2090, 454, 16557, 930, 540, 519, 5207, 17263, 2798, 538, 519, 700, 306, 2969, 306, 269 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

[ 1419, 17814, 607, 3532, 543, 8797, 5515, 945, 666, 13861, 4641, 998, 741, 28542, 543, 1651, 656, 725, 563, 3080, 540, 519, 1713, 3604, 1063, 31783, 543, 530, 19123, 787, 568, 519, 4008, 540, 519, 19995, 269, 654, 9662, 616, 3335, 17814, 607, 4775, 1247, 530, 23275, 616, 6719, 607, 5256, 269, 1717, 267, 713, 568, 711, 2141, 519, 2013, 267, 543, 972, 616, 8320, 1141, 1312, 25469, 616, 5219, 547, 607, 26734, 610, 530, 23275, 563, 5194, 3017, 568, 519, 1826, 540, 9059, 1031, 676, 519, 19995, 269, 2755, 1312, 946, 9059, 267, 789, 8428, 538, 741, 1935, 269, 654, 9662, 616, 1419, 2404, 609, 2067, 9059, 267, 543, 741, 2259, 3322, 8220, 609, 519, 16750, 1158, 543, 1210, 11922, 267, 14848, 267, 543, 824, 2067, 3615, 547, 5641, 28542, 269, 654, 23275, 267, 593, 519, 824, 1688, 267, 616, 811, 5059, 593, 7214, 9059, 267, 1210, 741, 1702, 543, 1620, 540, 519, 7122, 547, 13861, 9589, 1648, 563, 763, 2645, 1031, 676, 26734, 543, 530, 23275, 616, 849, 1114, 269, 654, 9662, 1419, 946, 28471, 323, 6425, 267, 2156, 558, 560, 6506, 267, 543, 530, 1343, 538, 741, 2259, 269, 1452, 3615, 616, 2356, 2404, 609, 2067, 9059, 543, 616, 1031, 547, 8756, 1648, 269, 654, 23275, 267, 593, 519, 824, 1688, 267, 946, 530, 1343, 543, 5234, 338, 547, 1445, 741, 9589, 1379, 563, 763, 1259, 26734, 543, 530, 23275, 616, 17814, 538, 2442, 2528, 568, 849, 2189, 269, 654, 9662, 616, 1419, 13269, 607, 524, 871, 1782, 2021, 609, 1448, 344, 22970, 267, 554, 3291, 1194, 936, 513, 28471, 323, 1258, 269, 1358, 616, 1419, 3254, 607, 1373, 9409, 610, 29144, 269, 654, 23275, 267, 593, 519, 824, 1688, 267, 616, 26060, 585, 741, 7326, 543, 1379, 269, 1358, 616, 1419, 17814, 607, 2025, 2367, 609, 1279, 581, 1841, 267, 16213, 28542, 543, 2870, 9059, 563, 1103, 3932, 267, 1247, 26734, 543, 530, 23275, 949, 3100, 2147, 693, 1101, 16145, 267, 789, 616, 267, 538, 1249, 267, 1360, 1114, 269, 654, 9662, 616, 1419, 2404, 609, 2470, 267, 946, 2067, 9059, 267, 543, 616, 2356, 4775, 269, 654, 23275, 267, 593, 519, 824, 1688, 267, 946, 7214, 9059, 267, 616, 2808, 8797, 543, 3532, 267, 543, 616, 2356, 5256, 269, 4197, 891, 3604, 666, 948, 721, 1732, 5660, 519, 9589, 543, 25386, 1158, 602, 27788, 721, 563, 21292, 281, 654, 3558, 267, 654, 19123, 267, 18903, 267, 29813, 1356, 344, 267, 1975, 20635, 267, 7849, 18903, 267, 25827, 18903, 267, 595, 4954, 323, 1258, 267, 645, 3336, 22496, 267, 654, 663, 267, 16065, 267, 7377, 9177, 269, 0, 8794, 519, 2479, 1790, 641, 983, 13845, 334, 1915, 267, 9167, 268, 5308, 11190, 630, 1492, 3864, 10837, 585, 8881, 543, 2657, 693, 4518, 1070, 1927, 609, 519, 13845, 334, 3117, 24832, 267, 814, 25282, 513, 3126, 540, 17163, 3106, 543, 1072, 630, 5308, 295, 264, 4245, 585, 3610, 267, 6322, 693, 10962, 3106, 543, 1072, 3584, 547, 3119, 1153, 1053, 538, 606, 3872, 267, 2943, 1187, 543, 19511, 1259, 1210, 13845, 334, 3381, 24056, 563, 2690, 1142, 3992, 267, 3989, 1472, 513, 2582, 13845, 334, 4670, 270, 2675, 2940, 267, 1565, 6859, 616, 13890, 267, 543, 3610, 723, 519, 4781, 540, 1585, 2238, 543, 616, 3177, 609, 519, 2200, 2838, 267, 607, 1134, 607, 930, 2093, 585, 875, 547, 2708, 519, 1053, 685, 2773, 269, 634, 4245, 616, 2966, 547, 581, 8465, 267, 547, 3514, 7258, 543, 12927, 1699, 6437, 5396, 267, 543, 547, 4217, 3610, 543, 1053, 538, 1362, 563, 25583, 540, 4065, 281, 3427, 454, 22117, 25944, 281, 9167, 268, 5308, 11190 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

[ 0, 3953, 799, 540, 519, 1739, 6898, 568, 711, 2953, 513, 538, 8051, 519, 2165, 9889, 1309, 476, 25396, 4198, 272, 454, 3953, 269, 6904, 540, 519, 1739, 6898, 568, 711, 2953, 888, 288, 269, 769, 8051, 267, 519, 2165, 968, 322, 1662, 892, 2882, 11974, 267, 2724, 9753, 267, 543, 7482, 593, 16005, 538, 513, 4871, 607, 1134, 607, 9304, 543, 11113, 563, 289, 269, 634, 6666, 11578, 6169, 568, 1031, 547, 4283, 519, 6666, 6455, 543, 6455, 3454, 538, 519, 6666, 2256, 328, 14186, 4760, 563, 290, 269, 634, 7127, 547, 2594, 519, 2256, 18967, 540, 513, 1596, 1170, 800, 4063, 547, 5372, 606, 1930, 2272, 568, 6592, 538, 519, 6666, 2256, 328, 14186, 4760, 563, 291, 269, 634, 6666, 2256, 328, 14186, 4760, 814, 5094, 9587, 585, 3181, 1080, 547, 22418, 267, 17099, 547, 32439, 25547, 22133, 267, 543, 17099, 547, 19833, 543, 19833, 12525, 9796, 762, 563, 3451, 269, 589, 6666, 9042, 540, 25584, 1131, 581, 6592, 538, 454, 288, 269, 519, 6455, 4760, 563, 289, 269, 519, 2489, 4760, 563, 290, 269, 519, 6666, 2256, 328, 14186, 4760, 563, 291, 269, 519, 6666, 11033, 4760, 563, 4097, 269, 16270, 4015, 540, 519, 2179, 1813, 593, 606, 1719, 24481, 1596, 1170, 800, 4063, 689, 513, 6075, 267, 519, 2272, 656, 1131, 32259, 22418, 267, 5491, 11872, 25547, 22133, 267, 543, 454, 288, 269, 32259, 9314, 5890, 1619, 563, 289, 269, 5491, 9314, 20677, 563, 290, 269, 5491, 9314, 5890, 1619, 563, 291, 269, 32259, 9314, 20677, 563, 3374, 269, 634, 7127, 547, 2594, 606, 3606, 6666, 5092, 676, 519, 8227, 568, 6592, 538, 454, 288, 269, 519, 6666, 11033, 4760, 563, 289, 269, 519, 6666, 2256, 328, 14186, 4760, 563, 290, 269, 519, 2489, 4760, 563, 291, 269, 519, 16306, 4760, 563, 3607, 269, 23894, 9116, 3213, 269, 4421, 25584, 593, 2272, 585, 1269, 1015, 267, 7785, 267, 2474, 476, 273, 270, 1015, 267, 562, 270, 1789, 269, 6154, 697, 10997, 540, 1269, 7742, 941, 3341, 4660, 676, 519, 22673, 543, 3773, 547, 519, 1045, 4069, 269, 634, 6075, 8120, 1269, 8517, 540, 25584, 1354, 1818, 519, 8569, 1287, 6976, 519, 1045, 4069, 1369, 519, 10958, 1974, 269, 1548, 568, 519, 2179, 23894, 9116, 3213, 269, 4607, 888, 4391, 269, 8585, 577, 663, 1047, 568, 4421, 585, 1269, 279, 267, 279, 736, 267, 2474, 476, 272, 270, 1015, 267, 562, 270, 1789, 269, 13405, 547, 8569, 267, 519, 6075, 8120, 1269, 28794, 540, 519, 25584, 269, 1403, 519, 1045, 4069, 568, 6976, 1369, 519, 10958, 1974, 519, 2179, 540, 519, 6455, 10958, 568, 912, 4343, 269, 6904, 540, 519, 1739, 6898, 568, 2953, 888, 288, 269, 634, 7127, 547, 2594, 519, 8569, 540, 606, 1045, 4069, 1369, 519, 6666, 10958, 1974, 1131, 1331, 513, 32259, 547, 519, 623, 3420, 1162, 5494, 870, 338, 2272, 563, 289, 269, 1677, 2594, 513, 6666, 6718, 540, 25584, 267, 519, 2272, 656, 1131, 32259, 623, 3420, 1162, 543, 5491, 22418, 563, 290, 269, 589, 11834, 602, 568, 5265, 6592, 538, 519, 6666, 11033, 4760, 786, 2141, 1331, 519, 10916, 540, 606, 2179, 538, 519, 22418, 1546, 4226, 6241, 563, 291, 269, 27619, 28774, 568, 513, 15333, 8907, 2272, 563, 4375, 269, 1677, 2594, 519, 8569, 540, 513, 6718, 1045, 4069, 950, 513, 6666, 10958, 568, 3144, 267, 519, 2272, 656, 1131, 454, 288, 269, 32259, 32439, 9796, 762, 267, 5491, 623, 3420, 1162, 5494, 870, 338, 267, 543, 5491, 22418, 563, 289, 269, 32259, 32439, 9796, 762, 267, 32259, 623, 3420, 1162, 5494, 870, 338, 267, 543, 5491, 22418, 563, 290, 269, 32259, 32439, 9796, 762, 543, 5491, 22418, 563, 291, 269, 32259, 623, 3420, 1162, 267, 5491, 623, 3420, 1162, 5494, 870, 338, 267, 543, 5491, 22418, 563, 2412, 269, 8585, 577, 663, 1047, 28428, 1269, 276, 267, 7785, 609, 2474, 540, 476, 272, 270, 1015, 267, 562, 270, 1789, 267, 609, 6283, 3790, 540, 1269, 17168, 3769, 593, 519, 1045, 4069, 630, 2254, 3769, 538, 519, 1269, 276, 267, 7785, 264, 568, 4421, 593, 2272, 269, 1403, 519, 3915, 568, 6976, 1369, 4557, 2395, 267, 519, 2179, 540, 519, 6718, 10958, 568, 563, 6078, 269, 634, 7127, 547, 25579, 880, 513, 4620, 1399, 6666, 2508, 2882, 454, 288, 269, 513, 32259, 547, 22418, 543, 513, 5491, 547, 8891, 1399, 22418, 563, 289, 269, 513, 32259, 547, 8891, 1399, 22418, 8750, 543, 513, 5491, 547, 22418, 563, 290, 269, 3181, 1080, 547, 1585, 13258, 6589, 543, 513, 5491, 547, 8891, 1399, 22418, 8750, 563, 291, 269, 3181, 1080, 547, 1585, 13258, 6589, 543, 513, 5491, 547, 22418, 269, 0, 295, 650, 781, 6151, 2592, 6655, 519, 2621, 13269, 3927, 563, 294, 867, 10830, 24025, 1010, 3308, 543, 5339, 15421, 547, 2995, 519, 1650, 540, 705, 13092, 1272, 2094, 519, 12625, 540, 17417, 538, 519, 5375, 25955, 538, 476, 14983, 273, 2807, 476, 4335, 13012, 540, 18650, 454, 338, 1075, 12923, 607, 513, 12050, 29194, 593, 19525, 543, 922, 20807, 532, 9371, 2221, 563, 1700, 1607, 18225, 634, 476, 4335, 13012, 540, 18650, 1290, 545, 3883, 454, 529, 513, 24182, 269, 8550, 1354, 723, 594, 2097, 2066, 513, 1875, 27395, 8642, 3209, 5827, 540, 859, 3183, 971, 513, 3532, 3929, 3210, 269, 1546, 2718, 609, 971, 3584, 607, 21393, 267, 15746, 543, 21939, 519, 13371, 568, 2386, 547, 2014, 17140, 543, 18354, 538, 519, 5467, 269, 2311, 519, 1482, 942, 267, 476, 4335, 13012, 540, 18650, 454, 529, 31369, 543, 16779, 267, 8308, 18995, 519, 4222, 543, 28665, 540, 7111, 21847, 269, 717, 867, 781, 3551, 1935, 547, 1603, 13745, 609, 1010, 11599, 12383, 814, 2813, 513, 5963, 14262, 13371, 1433, 269, 0, 1432, 616, 519, 476, 274, 2596, 3896, 3889, 286, 589, 1134, 3613, 19099, 3896, 568, 2565, 585, 1967, 538, 2221, 779, 3059, 1158, 269, 634, 2497, 540, 513, 3896, 4016, 547, 875, 922, 3817, 543, 1543, 616, 22555, 543, 5532, 269, 898, 8060, 875, 1004, 6330, 519, 3135, 607, 1134, 607, 875, 3406, 9817, 4994, 543, 7584, 519, 1344, 269, 1703, 616, 824, 3896, 25121, 267, 855, 713, 2376, 786, 13404, 593, 519, 1614, 1034, 1455, 281, 21712, 267, 18615, 267, 543, 5119, 269, 1280, 3896, 1374, 1294, 713, 2376, 563, 295, 1512, 1105, 673, 19534, 12856, 454, 763, 1034, 2442, 543, 16022, 3896, 2497, 568, 519, 21712, 2497, 269, 634, 1543, 568, 22555, 538, 513, 3529, 6438, 2497, 267, 609, 519, 1292, 3135, 693, 519, 1283, 267, 4553, 676, 3119, 6810, 267, 1016, 21827, 267, 543, 1367, 3817, 269, 901, 11768, 20964, 513, 2312, 15796, 543, 6087, 1004, 547, 3274, 2263, 519, 3896, 563, 763, 946, 540, 20927, 16776, 971, 607, 554, 272, 285, 267, 554, 273, 285, 267, 543, 554, 274, 285, 568, 2565, 538, 9591, 513, 21712, 2497, 269, 5221, 621, 6920, 519, 5207, 1377, 540, 2956, 267, 519, 554, 272, 285, 11090, 1058, 581, 1031, 585, 519, 3119, 2140, 610, 519, 3896, 779, 20446, 269, 8791, 10643, 616, 30149, 609, 554, 273, 285, 16776, 267, 1247, 1016, 21827, 3330, 1346, 6810, 616, 30149, 609, 554, 274, 285, 16776, 563, 26794, 540, 28762, 1105, 673, 12856, 454, 763, 16134, 540, 513, 21712, 2497, 568, 835, 540, 922, 3119, 5383, 269, 20305, 666, 5612, 9787, 519, 3896, 779, 2497, 543, 12398, 519, 1344, 789, 2154, 269, 898, 849, 11226, 3406, 9817, 538, 26762, 519, 11768, 540, 519, 3135, 543, 20823, 621, 14013, 269, 5015, 267, 676, 3850, 1007, 3817, 547, 581, 3362, 3773, 547, 4540, 2694, 267, 513, 21712, 2497, 7028, 2104, 7269, 543, 25382, 563, 7078, 540, 28762, 1105, 673, 12856, 454, 13706, 519, 1739, 1383, 540, 513, 3434, 2044, 3896, 269, 634, 1753, 2457, 779, 554, 272, 285, 11090, 949, 581, 968, 22013, 5534, 31204, 2223, 1129, 4328, 519, 1292, 2140, 269, 634, 1292, 13980, 1522, 581, 31002, 968, 7343, 564, 23924, 2223, 968, 14611, 20043, 2223, 543, 968, 291, 17143, 338, 2223, 609, 554, 273, 285, 16776, 585, 1142, 269, 4427, 21827, 971, 607, 968, 309, 1122, 564, 4115, 2223, 968, 5353, 2378, 797, 2223, 543, 968, 9288, 520, 892, 666, 581, 31002, 609, 554, 274, 285, 16776, 896, 519, 968, 14611, 20043, 892, 3296, 563, 306, 3225, 1113, 19534, 12856, 454, 763, 18615, 2497, 267, 849, 1634, 607, 519, 5276, 2497, 267, 1418, 2478, 1543, 538, 513, 5276, 6752, 269, 898, 568, 4922, 1031, 585, 9423, 267, 15872, 267, 610, 824, 1543, 602, 1058, 581, 12842, 18615, 569, 269, 20305, 2951, 998, 519, 3896, 676, 1739, 513, 24441, 2619, 538, 713, 5943, 563, 4407, 972, 568, 1100, 9395, 15796, 538, 519, 18615, 11768, 267, 519, 6165, 540, 20927, 16776, 1869, 5713, 547, 15652, 543, 1418, 1047, 519, 1344, 269, 554, 272, 285, 16776, 616, 3335, 1031, 585, 519, 2985, 779, 3119, 2140, 267, 1247, 554, 273, 285, 543, 554, 274, 285, 16776, 666, 581, 1031, 547, 7941, 519, 1570, 883, 2694, 543, 1016, 21827, 563, 26794, 540, 14938, 1113, 12856, 454, 763, 18615, 2497, 5012, 3755, 998, 513, 30966, 2619, 267, 4180, 602, 519, 1543, 568, 10057, 538, 519, 2953, 5311, 269, 901, 5943, 666, 581, 1031, 547, 1711, 4277, 6386, 610, 1900, 8386, 9912, 4245, 269, 898, 849, 6087, 2653, 5464, 543, 2079, 540, 3593, 3356, 676, 9477, 1141, 3755, 6749, 1055, 610, 4497, 519, 1034, 563, 7078, 540, 14938, 1113, 12856, 454, 13706, 513, 3896, 602, 2488, 513, 9488, 2228, 10344, 2069, 269, 634, 2985, 779, 1292, 2140, 267, 20922, 676, 519, 554, 272, 285, 11090, 267, 949, 581, 968, 22913, 532, 22878, 281, 3245, 10670, 1676, 547, 1160, 1848, 3962, 3992, 610, 9074, 538, 519, 1576, 949, 581, 4857, 676, 554, 273, 285, 16776, 267, 1247, 1016, 21827, 1369, 1142, 3992, 1522, 581, 4857, 676, 554, 274, 285, 16776, 563, 30467, 19534, 12856, 454, 763, 5119, 2497, 267, 1419, 1634, 607, 519, 7470, 2497, 267, 1418, 2478, 1543, 1759, 593, 513, 3099, 540, 6688, 610, 7907, 269, 898, 6087, 3755, 547, 2263, 998, 1082, 7516, 540, 1543, 693, 519, 1482, 942, 269, 901, 11768, 568, 4749, 1031, 585, 7270, 602, 2709, 513, 2647, 2039, 540, 2472, 267, 2533, 267, 610, 1344, 609, 1896, 7907, 610, 6688, 563, 4407, 519, 5119, 3898, 1281, 711, 7048, 3648, 593, 20927, 16776, 585, 12445, 267, 789, 666, 1869, 581, 3730, 538, 3246, 9355, 543, 2497, 1369, 1142, 7121, 269, 1280, 1383, 267, 554, 272, 285, 16776, 666, 581, 1031, 585, 519, 2985, 779, 3119, 2140, 267, 15029, 554, 273, 285, 543, 554, 274, 285, 16776, 1522, 581, 1031, 547, 5031, 1367, 6810, 543, 23658, 20975, 3330, 519, 5119, 269, 4179, 2517, 325, 5109, 339, 871, 548, 1343, 6269, 15533, 2593, 270, 8127, 7146, 2389, 871, 548, 6879, 641, 13045, 26794, 540, 19336, 12856, 454, 763, 5119, 3898, 6087, 3755, 547, 1353, 1543, 689, 2789, 7285, 693, 519, 1482, 942, 269, 898, 3091, 513, 9488, 2070, 540, 519, 2139, 3681, 543, 2636, 3755, 547, 6882, 543, 13217, 741, 3406, 1759, 593, 513, 3099, 540, 7355, 269, 901, 11768, 568, 1360, 5078, 585, 552, 19645, 7270, 267, 1463, 1559, 267, 610, 12240, 1141, 8436, 1590, 5635, 543, 2708, 1896, 7399, 563, 7078, 540, 19336, 12856, 454, 13706, 513, 3896, 602, 23619, 513, 3099, 540, 5907, 3457, 269, 634, 2985, 779, 1292, 2140, 267, 20386, 538, 519, 554, 272, 285, 11090, 267, 949, 581, 968, 16978, 16361, 8111, 32697, 1848, 634, 5119, 2497, 1223, 581, 1031, 547, 19665, 2472, 1759, 593, 10305, 971, 607, 6216, 267, 1826, 267, 543, 3902, 2039, 269, 3962, 7121, 1223, 581, 31002, 609, 554, 273, 285, 16776, 267, 609, 1808, 23658, 20975, 6825, 676, 554, 274, 285, 16776, 563, 2690, 1383, 267, 896, 519, 968, 289, 8681, 892, 7121, 267, 596, 949, 1374, 622, 1016, 21827, 971, 607, 968, 7343, 548, 2223, 968, 306, 4461, 2426, 2223, 543, 968, 306, 3415, 892, 609, 554, 274, 285, 16776, 269, 10738, 1142, 6216, 267, 2472, 666, 581, 2417, 9286, 1759, 593, 2186, 267, 971, 607, 16389, 267, 24195, 267, 610, 17960, 563, 24400, 519, 1697, 3896, 2497, 568, 2565, 585, 12419, 513, 5812, 3593, 1995, 543, 5688, 2358, 707, 3135, 585, 3406, 9817, 269, 634, 21712, 11768, 29776, 543, 16881, 12445, 267, 6466, 519, 18615, 2497, 5012, 3755, 1524, 513, 1095, 564, 2619, 269, 634, 5119, 2497, 6087, 17326, 7645, 7634, 543, 6476, 563, 7661, 267, 519, 2497, 540, 707, 3896, 568, 5462, 676, 519, 2470, 540, 707, 1543, 267, 3593, 7375, 267, 543, 519, 3853, 596, 6999, 547, 3035 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

[ 693, 31556, 540, 476, 279, 267, 1822, 3952, 543, 1657, 269, 4658, 945, 5749, 1406, 26224, 547, 891, 15627, 616, 1034, 7925, 269, 0, 1103, 15990, 267, 519, 10847, 540, 519, 10971, 2306, 909, 606, 1271, 851, 540, 519, 2729, 540, 1082, 2757, 4457, 1004, 269, 654, 11208, 568, 2938, 607, 1373, 4105, 585, 513, 18900, 1272, 269, 3807, 607, 835, 1590, 1628, 513, 1434, 2078, 609, 741, 3885, 610, 1071, 22086, 619, 538, 1931, 547, 2661, 25678, 267, 621, 568, 2938, 607, 8449, 1271, 547, 1628, 513, 2078, 609, 519, 2199, 10971, 563, 15650, 540, 654, 11208, 454, 763, 10971, 540, 15990, 616, 10847, 539, 538, 1079, 2081, 269, 634, 1101, 568, 17308, 569, 10847, 269, 901, 1106, 540, 3810, 9161, 2065, 10847, 568, 5340, 676, 28001, 626, 20577, 610, 14418, 26112, 538, 17633, 269, 623, 1845, 339, 569, 10847, 814, 1305, 6299, 7879, 543, 5205, 513, 11706, 269, 901, 1106, 540, 10847, 568, 2944, 593, 15773, 540, 513, 1507, 610, 1804, 1895, 540, 1004, 543, 814, 3376, 1759, 971, 607, 1434, 4365, 585, 3771, 341, 3949, 267, 4708, 1063, 519, 5289, 543, 2067, 10600, 267, 610, 17184, 3666, 269, 898, 949, 581, 2944, 609, 610, 1510, 519, 7589, 540, 1875, 12641, 1458, 267, 4470, 593, 519, 9161, 269, 623, 1845, 339, 569, 10847, 678, 527, 1302, 22842, 519, 4332, 17058, 540, 2101, 10971, 269, 769, 519, 2034, 1106, 267, 4357, 10847, 267, 8723, 1004, 10847, 519, 10971, 2901, 538, 17633, 267, 695, 21218, 267, 610, 538, 741, 5321, 269, 5637, 17308, 569, 543, 4357, 10847, 568, 2944, 585, 519, 19160, 540, 10103, 282, 1272, 3274, 4422, 811, 12347, 950, 1697, 12738, 616, 840, 11526, 269, 1717, 267, 1072, 267, 1870, 1967, 267, 8788, 267, 543, 28738, 344, 630, 2865, 1419, 5256, 264, 616, 1419, 519, 1463, 5301, 540, 4357, 10847, 563, 5522, 2167, 540, 654, 11208, 454, 1103, 15990, 267, 10971, 616, 10847, 539, 538, 1614, 5468, 269, 634, 1101, 1747, 267, 543, 519, 835, 1034, 6654, 547, 519, 3544, 20626, 267, 519, 11454, 269, 4107, 1169, 8498, 610, 2749, 8378, 814, 513, 11454, 269, 2368, 17633, 616, 6131, 547, 513, 1808, 5601, 267, 971, 607, 519, 10348, 12624, 540, 519, 4639, 269, 10705, 267, 891, 17633, 616, 3710, 609, 23190, 1500, 676, 1004, 945, 6999, 547, 23231, 519, 5601, 585, 741, 25736, 269, 4107, 2199, 17633, 2777, 513, 3099, 540, 10971, 543, 10847, 619, 1118, 13668, 540, 8726, 5601, 789, 1589, 666, 1655, 948, 873, 269, 2290, 540, 519, 1034, 4583, 17633, 538, 12872, 701, 328, 568, 519, 7043, 22767, 13527, 269, 20323, 3710, 538, 476, 15876, 279, 676, 17540, 329, 1014, 3150, 20404, 267, 10847, 619, 2097, 689, 782, 936, 547, 9006, 4733, 519, 5458, 18533, 540, 2871, 534, 962, 514, 799, 15068, 519, 9552, 540, 519, 11454, 1282, 24918, 269, 15394, 267, 12563, 17633, 616, 6039, 676, 28001, 626, 20577, 693, 519, 14512, 540, 519, 10971, 3330, 610, 593, 13037, 2395, 269, 654, 11208, 568, 5340, 676, 8781, 1651, 1619, 267, 4259, 1426, 1354, 519, 10971, 267, 543, 6367, 532, 1354, 741, 24112, 269, 9540, 267, 4357, 17633, 666, 849, 581, 1336, 538, 15990, 269, 4595, 1804, 17633, 616, 3710, 538, 4025, 609, 1434, 535, 1263, 695, 14241, 267, 4025, 971, 607, 10239, 267, 543, 2094, 8378, 17633, 3180, 1152, 513, 1906, 10971, 267, 930, 10847, 619, 1745, 519, 991, 547, 946, 891, 4130, 17633, 269, 3509, 540, 891, 616, 2196, 585, 7443, 267, 543, 930, 723, 513, 3983, 10639, 1851, 3978, 10847, 619, 269, 14418, 17633, 1419, 5595, 607, 20708, 625, 543, 18956, 7740, 269, 23897, 1343, 540, 6844, 327, 1235, 979, 593, 31145, 593, 2027, 2395, 711, 1152, 547, 10847, 267, 855, 849, 547, 1199, 10028, 543, 4309, 5289, 6044, 563, 763, 2034, 1034, 1271, 1747, 540, 10847, 568, 519, 1753, 26749, 269, 5272, 2757, 4457, 1753, 814, 606, 26749, 799, 1590, 581, 5116, 538, 513, 1978, 4087, 1759, 593, 519, 535, 1263, 695, 14241, 540, 519, 1753, 269, 19992, 519, 26749, 786, 1419, 581, 5116, 513, 4605, 540, 835, 610, 811, 10971, 610, 513, 6429, 540, 13140, 269, 634, 26749, 3294, 568, 5258, 883, 1079, 2694, 269, 2201, 835, 2427, 568, 5116, 519, 2012, 7515, 540, 1920, 2818, 945, 723, 5747, 269, 634, 824, 2427, 568, 1031, 585, 519, 10847, 540, 519, 10971, 269, 634, 1826, 540, 10847, 5340, 1934, 568, 519, 1482, 607, 602, 5340, 538, 513, 11454, 267, 855, 593, 513, 4130, 4336, 269, 1323, 6827, 832, 616, 711, 2938, 607, 1373, 519, 1482, 607, 10971, 267, 855, 585, 10103, 538, 519, 2713, 1920, 267, 519, 8977, 539, 1590, 581, 25374, 585, 607, 1134, 563, 4537, 21218, 267, 4470, 593, 519, 2450, 267, 949, 3180, 835, 610, 811, 10971, 269, 1358, 616, 1419, 2322, 538, 4025, 1141, 621, 568, 2219, 602, 789, 786, 798, 519, 1034, 1434, 269, 1280, 1383, 267, 1082, 4213, 786, 723, 513, 695, 9068, 3330, 538, 1931, 547, 2087, 741, 6455, 269, 2368, 695, 21218, 616, 2322, 538, 5906, 4025, 585, 519, 4027, 540, 1780, 619, 8386, 269, 901, 5856, 4749, 5293, 676, 513, 1507, 695, 9068, 3710, 883, 513, 7823, 593, 513, 2442, 19482, 13009, 269, 4033, 695, 21218, 616, 5116, 585, 519, 13418, 540, 519, 26902, 23803, 269, 14033, 713, 5830, 1753, 729, 513, 1507, 695, 9068, 799, 1004, 1131, 3247, 693, 267, 6367, 267, 543, 3006, 1769, 1651, 1619, 610, 2628, 513, 2370, 2724, 585, 4420, 1194, 1216, 547, 1747, 1354, 519, 10971, 2529, 659, 1042, 2230, 568, 606, 1271, 851, 540, 1022, 3909, 1062, 269, 769, 1906, 2477, 786, 513, 26902, 23803, 1265, 607, 1082, 3255, 585, 10847, 607, 538, 15990, 269, 2755, 17308, 569, 10847, 568, 606, 1271, 4183, 538, 519, 9161, 2729, 540, 4457, 267, 1142, 1367, 1268, 814, 519, 4316, 547, 1935, 519, 10971, 609, 741, 2115, 563, 295, 10224, 3917, 826, 20568, 267, 28477, 27801, 338, 538, 15990, 0, 763, 1158, 779, 4262, 2666, 568, 4299, 676, 606, 6059, 476, 1691, 2929, 19726, 540, 2890, 680, 10415, 267, 8697, 1524, 689, 519, 6266, 540, 20203, 4947, 883, 519, 12084, 21496, 267, 1759, 593, 5245, 779, 18487, 2257, 2754, 563, 763, 2179, 540, 519, 6263, 5533, 729, 476, 1839, 14026, 2362, 982, 4505, 2199, 2213, 1382, 1185, 8810, 267, 519, 2754, 5018, 267, 10912, 621, 519, 3119, 1158, 7447, 540, 4262, 22286, 3233, 2890, 680, 10415, 563, 12867, 593, 519, 2754, 267, 1419, 1634, 607, 595, 10485, 4629, 267, 1031, 513, 18951, 26747, 547, 5531, 5439, 689, 7270, 607, 1454, 607, 476, 274, 267, 1822, 15432, 630, 280, 267, 25616, 19462, 264, 2620, 267, 1055, 519, 3162, 8241, 5032, 563, 2108, 5978, 2079, 4362, 602, 519, 2620, 5836, 568, 513, 16173, 585, 2890, 680, 10415, 2223, 9030, 2079, 10196, 9324, 1047, 10434, 17965, 5018, 563, 14071, 1185, 1044, 28280, 547, 1413, 693, 7050, 2890, 27415, 7366, 538, 971, 513, 11397, 4087, 3034, 347, 20877, 545, 24152, 519, 2825, 2554, 1042, 566, 540, 519, 12084, 13251, 454, 2421, 1480, 3635, 1496, 290, 13072, 281, 589, 17025, 2639, 763, 3744, 267, 945, 9102, 741, 4681, 538, 9263, 24595, 4760, 13571, 4536, 538, 13149, 3163, 267, 5018, 2127, 609, 3063, 13735, 20203, 3335, 1185, 3063, 2890, 27415, 15998, 593, 519, 5836, 2666, 563, 2108, 5522, 2880, 2011, 5533, 602, 5012, 547, 519, 5836, 14016, 919, 543, 9397, 1524, 267, 10678, 909, 607, 2890, 680, 10415, 2223, 1382, 1291, 3807, 710, 4446, 21884, 5018, 269, 968, 763, 4093, 1459, 2890, 680, 10415, 616, 6157, 29855, 547, 519, 5836, 2666, 3034, 26773, 17965, 5219, 547, 607, 585, 10296, 5163, 547, 3406, 856, 3681, 547, 7286, 5068, 2011, 5533, 267, 799, 5222, 8134, 267, 7320, 543, 1480, 1134, 1373, 563, 2108, 12041, 885, 267, 1870, 543, 519, 1895, 1590, 960, 15217, 547, 14320, 2759, 1394, 519, 7274, 540, 16445, 649, 1294, 7258, 938, 694, 1662, 2803, 543, 538, 938, 12084, 2223, 1352, 5018, 563, 20055, 634, 26337, 6176, 7991, 609, 513, 1507, 21856, 256 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

[ 2511, 563, 268, 2422, 19000, 10035, 3230, 585, 4834, 543, 18889, 585, 5124, 3009, 12612, 269, 3097, 268, 3550, 4570, 19673, 3977, 563, 268, 12305, 543, 1104, 1022, 2556, 8021, 563, 2710, 711, 1331, 513, 2140, 267, 2606, 2453, 610, 2592, 269, 1684, 711, 2491, 2596, 9226, 2035, 899, 3252, 543, 4632, 269, 1684, 711, 946, 16814, 585, 11249, 269, 3503, 519, 1543, 2047, 269, 0, 1012, 4197, 30142, 1431, 543, 15585, 725, 538, 476, 274, 291, 6611, 692, 1103, 519, 1483, 1158, 267, 649, 1419, 991, 547, 1174, 519, 2990, 543, 10066, 540, 3615, 538, 1614, 8820, 2230, 269, 1280, 1383, 267, 4952, 513, 20473, 10760, 538, 519, 6607, 269, 1677, 6330, 543, 2057, 9465, 267, 519, 20473, 2115, 547, 917, 922, 2990, 543, 10066, 269, 6684, 267, 538, 2780, 12449, 543, 17562, 267, 649, 991, 547, 1174, 519, 2990, 543, 10066, 540, 3615, 547, 1711, 10853, 13502, 543, 1852, 11608, 780, 1103, 713, 1770, 267, 649, 786, 1451, 875, 547, 2099, 543, 13861, 519, 2990, 543, 10066, 540, 3615, 538, 476, 274, 291, 2230, 1210, 5124, 269, 1284, 786, 849, 1451, 875, 547, 5173, 519, 6959, 538, 2990, 543, 10066, 1063, 1079, 1114, 11269, 540, 519, 1482, 1843, 780, 2162, 11724, 532, 30142, 1431, 538, 476, 274, 291, 6611, 692, 1103, 476, 274, 291, 2230, 267, 513, 2990, 666, 581, 6719, 1210, 1614, 10974, 281, 1535, 267, 586, 267, 543, 1990, 269, 1452, 10974, 2099, 519, 3845, 540, 519, 1843, 689, 519, 5169, 630, 271, 267, 271, 267, 271, 264, 2059, 519, 1535, 267, 586, 267, 543, 1990, 17887, 267, 6606, 269, 769, 5124, 267, 649, 666, 2099, 513, 2990, 1210, 513, 1592, 610, 24042, 540, 1614, 2338, 269, 1280, 1383, 267, 519, 2990, 540, 513, 1448, 623, 666, 581, 6719, 607, 912, 3499, 7090, 454, 303, 815, 1496, 272, 267, 476, 273, 267, 476, 274, 2639, 8199, 1607, 1797, 602, 519, 1448, 623, 568, 4092, 693, 513, 3845, 540, 476, 272, 1770, 2059, 519, 1535, 14289, 267, 476, 273, 4559, 2059, 519, 586, 14289, 267, 543, 476, 274, 4559, 2059, 519, 1990, 14289, 780, 2162, 11724, 532, 15585, 725, 538, 476, 274, 291, 6611, 692, 1103, 1840, 547, 2990, 267, 649, 849, 991, 547, 2099, 519, 10066, 540, 3615, 538, 476, 274, 291, 2230, 269, 634, 10066, 540, 606, 1843, 568, 6719, 1210, 513, 10047, 5119, 269, 589, 10047, 5119, 568, 513, 476, 274, 343, 274, 5119, 602, 6257, 875, 547, 17967, 606, 1843, 1472, 519, 1535, 267, 586, 267, 543, 1990, 17887, 269, 1280, 1383, 267, 519, 1739, 10047, 5119, 4564, 513, 10047, 540, 476, 3445, 5232, 1472, 519, 1990, 14289, 912, 3499, 7090, 454, 305, 815, 20886, 271, 267, 910, 272, 267, 476, 271, 16689, 672, 1496, 272, 267, 476, 271, 267, 476, 271, 16689, 672, 1496, 271, 267, 476, 271, 267, 476, 272, 27663, 8199, 1607, 1797, 602, 952, 649, 4019, 713, 10047, 5119, 547, 513, 1448, 623, 267, 519, 4611, 1448, 623, 262, 786, 581, 29352, 476, 3445, 5232, 1472, 519, 1990, 14289, 780, 2162, 29626, 19024, 8210, 5558, 692, 3086, 602, 649, 917, 875, 547, 2099, 7158, 543, 32186, 538, 476, 274, 291, 2230, 267, 649, 666, 1451, 875, 547, 5173, 519, 6959, 538, 2990, 543, 10066, 1063, 1079, 1114, 11269, 540, 519, 1482, 1843, 780, 5575, 267, 1577, 781, 2015, 519, 2990, 6959, 269, 14597, 649, 723, 1079, 11269, 540, 519, 1482, 1843, 267, 1572, 2387, 10915, 2397, 319, 543, 2387, 322, 663, 28371, 18269, 3962, 6041, 3568, 513, 1305, 540, 15833, 267, 799, 616, 476, 274, 291, 7158, 540, 519, 1843, 693, 1114, 2053, 269, 1284, 1616, 547, 5173, 519, 6959, 538, 2990, 1063, 519, 2387, 10915, 2397, 319, 543, 2387, 322, 663, 28371, 319, 15833, 780, 2171, 666, 798, 713, 1210, 519, 1739, 5124, 1599, 912, 3499, 7090, 454, 3698, 2990, 318, 518, 5558, 263, 10915, 2397, 267, 11134, 2187, 825, 1455, 318, 3333, 1824, 815, 1305, 263, 10915, 2397, 11075, 1824, 269, 12399, 3890, 1040, 315, 454, 1038, 10167, 263, 3553, 6262, 663, 28371, 11075, 1824, 269, 12399, 3890, 4917, 825, 6959, 815, 11713, 825, 585, 521, 538, 1455, 318, 3333, 1824, 912, 1038, 10460, 272, 815, 4704, 11075, 1824, 314, 338, 4940, 2821, 10947, 318, 10594, 514, 4590, 1038, 10460, 273, 815, 11134, 11075, 1824, 314, 338, 4940, 2821, 10947, 318, 10594, 514, 4590, 1038, 6959, 6910, 263, 2821, 272, 1790, 846, 273, 994, 825, 2132, 5286, 15126, 263, 518, 5558, 994, 8199, 1607, 1599, 3217, 538, 1079, 11269, 540, 519, 1482, 1843, 267, 2387, 10915, 2397, 319, 543, 2387, 322, 663, 28371, 12452, 543, 7024, 513, 11885, 5044, 540, 2990, 6959, 1063, 519, 1079, 11269, 780, 763, 1599, 1101, 9060, 519, 1455, 15833, 1063, 519, 2387, 10915, 2397, 319, 543, 2387, 322, 663, 28371, 319, 11269, 1210, 519, 2387, 5793, 7611, 319, 1505, 540, 5124, 5036, 269, 898, 1287, 17787, 998, 1142, 1455, 8929, 543, 21410, 519, 2990, 5470, 676, 18946, 519, 2990, 540, 519, 2387, 322, 663, 28371, 319, 8929, 689, 519, 2990, 540, 519, 2387, 10915, 2397, 319, 8929, 269, 634, 2990, 6959, 616, 1287, 6740, 538, 513, 1592, 267, 799, 568, 10736, 547, 513, 11885, 5044, 543, 8120, 780, 2162, 29626, 15585, 566, 8210, 5558, 692, 9202, 267, 1577, 781, 2015, 519, 10047, 6959, 269, 14597, 649, 723, 1079, 11269, 540, 519, 1482, 1843, 267, 1572, 2387, 10915, 2397, 319, 543, 2387, 322, 663, 28371, 18269, 3962, 6041, 3568, 513, 1305, 540, 15833, 267, 799, 616, 476, 274, 291, 7158, 540, 519, 1843, 693, 1114, 2053, 269, 1284, 1616, 547, 5173, 519, 6959, 538, 10066, 1063, 519, 2387, 10915, 2397, 319, 543, 2387, 322, 663, 28371, 319, 15833, 780, 2171, 666, 798, 713, 1210, 519, 1739, 5124, 1599, 912, 3499, 7090, 454, 3698, 10047, 318, 518, 5558, 263, 10915, 2397, 267, 11134, 2187, 825, 1455, 318, 3333, 1824, 815, 1305, 263, 10915, 2397, 11075, 1824, 269, 12399, 3890, 1040, 315, 454, 1038, 10167, 263, 3553, 6262, 663, 28371, 11075, 1824, 269, 12399, 3890, 4917, 825, 6959, 815, 11713, 825, 585, 521, 538, 1455, 318, 3333, 1824, 912, 1038, 10460, 272, 815, 4704, 11075, 1824, 314, 338, 4940, 2821, 10947, 318, 8527, 566, 24624, 4590, 1038, 10460, 273, 815, 11134, 11075, 1824, 314, 338, 4940, 2821, 10947, 318, 8527, 566, 24624, 4590, 1038, 3017, 815, 5286, 6745, 4920, 2821, 263, 2821, 272, 1040, 25346, 263, 2821, 273, 994, 1038, 11425, 3419, 1132, 815, 20956, 273, 10611, 617, 3419, 1132, 5560, 29924, 25011, 271, 4940, 30584, 4590, 1038, 5086, 815, 5286, 7456, 1400, 326, 8542, 768, 263, 16967, 3419, 1132, 994, 1038, 6959, 6910, 263, 4120, 994, 825, 2132, 5286, 15126, 263, 518, 5558, 994, 8199, 1607, 1599, 3217, 538, 1079, 11269, 540, 519, 1482, 1843, 267, 2387, 10915, 2397, 319, 543, 2387, 322, 663, 28371, 12452, 543, 7024, 513, 11885, 5044, 540, 10047, 6959, 1063, 519, 1079, 11269, 780, 763, 1599, 1101, 9060, 519, 1455, 15833, 1063, 519, 2387, 10915, 2397, 319, 543, 2387, 322, 663, 28371, 319, 11269, 1210, 519, 2387, 5793, 7611, 319, 1505, 540, 5124, 5036, 269, 898, 1287, 17787, 998, 1142, 1455, 8929, 543, 21410, 519, 10047, 5470, 676, 1101, 12719, 519, 3017, 1063, 519, 10047, 14290, 540, 519, 2387, 322, 663, 28371, 319, 543, 2387, 10915, 2397, 319, 15833, 269, 634, 3017, 568, 1287, 10736, 547, 513, 10047, 6152, 1210, 519, 2387, 305, 617, 3419, 1132, 319, 1599, 689, 519, 7046, 20302, 5399, 269, 634, 9588, 540, 519, 10047, 6152, 568, 1287, 7229, 1210, 519, 2387, 331, 1400, 326, 8542, 768, 319, 1599, 689, 519, 11885, 5399, 267, 799, 4564, 519, 10047, 5470, 538, 32494, 269, 634, 10047, 6959, 616, 1287, 6740, 538, 513, 1592, 267, 799, 568, 10736, 547, 513, 11885, 5044, 543, 8120, 780, 2162, 10390, 692, 1103, 713, 1770, 267, 649, 4121, 875, 547, 2099, 543, 13861, 519, 2990, 543, 10066, 540, 3615, 538, 476, 274, 291, 2230, 1210, 5124, 269, 1284, 849, 4121, 875, 547, 5173, 519, 6959, 538, 2990, 543, 10066, 1063, 1079, 1114, 11269, 540, 519, 1482, 1843, 269, 1452, 2035, 616, 4909, 547, 1082, 4610, 267, 1519, 2780, 12449, 267, 17562, 267, 543, 2780, 5075, 269, 1635, 1620, 891, 2035, 267, 649, 666, 1711, 811, 10853, 13502, 267, 1852, 11608, 811, 8308, 267, 543, 2087, 519, 2773, 540, 2780, 5075, 6620, 269, 0, 2080, 568, 606, 1349, 689, 513, 9226, 8193, 5850, 281, 3097, 8199, 339, 269, 5471, 20631, 3052, 1186, 318, 6570, 454, 1038, 10460, 273, 815, 8929, 269, 2821, 10947, 318, 10594, 514, 4590, 1038, 6959, 6910, 263, 2821, 272, 1790, 846, 273, 994, 825, 2132, 5286, 15126, 263, 518, 5558, 9239, 3698, 2990, 318, 518, 5558, 263, 10915, 2397, 267, 11134, 2187, 825, 1455, 318, 3333, 1824, 815, 1305, 263, 10915, 2397, 11075, 1824, 269, 12399, 3890, 1040, 315, 454, 1038, 10167, 263, 3553, 6262, 663, 28371, 11075, 1824, 269, 12399, 3890, 4917, 825, 6959, 815, 11713, 825, 585, 521, 538, 1455, 318, 3333, 1824, 912, 1038, 10460, 272, 815, 4704, 11075, 1824, 314, 338, 4940, 2821, 10947, 318, 10594, 514, 4590, 1038, 10460, 273, 815, 11134, 11075, 1824, 314, 338, 4940, 2821, 10947, 318, 10594, 514, 4590, 1038, 6959, 6910, 263, 2821, 272, 1790, 846, 273, 994, 825, 2132, 5286, 15126, 263, 518, 5558, 9239, 3698, 10047, 318, 518, 5558, 263, 10915, 2397, 267, 11134, 2187, 825, 1455, 318, 3333, 1824, 815, 1305, 263, 10915, 2397, 11075, 1824, 269, 12399, 3890, 1040, 315, 454, 1038, 10167, 263, 3553, 6262, 663, 28371, 11075, 1824, 269, 12399, 3890, 4917, 825, 6959, 815, 11713, 825, 585, 521, 538, 1455, 318, 3333, 1824, 912, 1038, 10460, 272, 815, 4704, 11075, 1824, 314, 338, 4940, 2821, 10947, 318, 8527, 566, 24624, 4590, 1038, 10460, 273, 815, 11134, 11075, 1824, 314, 338, 4940, 2821, 10947, 318, 8527, 566, 24624, 4590, 1038, 3017, 815, 5286, 6745, 4920, 2821, 263, 2821, 272, 1040, 25346, 263, 2821, 273, 994, 1038, 11425, 3419, 1132, 815, 20956, 273, 10611, 617, 3419, 1132, 5560, 29924, 25011, 271, 4940, 30584, 4590, 1038, 5086, 815, 5286, 7456, 1400, 326, 8542, 768, 263, 16967, 3419, 1132, 994, 1038, 6959, 6910, 263, 4120, 994, 825, 2132, 5286, 15126, 263, 518, 5558, 994, 8199, 2237, 606, 3573, 543, 2143, 1837, 1770, 609, 19900, 1257, 543, 3009, 12612, 585, 1647, 1153, 1053, 1644, 547, 519, 1349, 1657, 269, 3550, 519, 3137, 616, 3015, 543, 2653, 547, 1174, 676, 1053, 609, 1100, 1991, 1702, 540, 519, 1641, 269, 634, 1837, 1058, 3895, 7744, 543, 20201, 1983, 269, 1684, 711, 1175, 1592, 2035, 267, 855, 1020, 1142, 835, 538, 1469, 1354, 3001, 547, 519, 1985, 267, 607, 649, 4225, 3178, 540, 1620, 543, 3102, 3408, 540, 519, 1641, 2339, 936, 4560, 563, 2521, 547, 912, 268, 3550, 538, 3829, 3795, 540, 519, 2035, 563, 268, 2422, 513, 2239, 2219, 4538, 2511, 563, 268, 2422, 19000, 10035, 3230, 585, 4834, 543, 18889, 585, 5124, 3009, 12612, 269, 3097, 268, 3550, 4570, 19673, 3977, 563, 268, 12305, 543, 1104, 1022, 2556, 8021, 563, 2710, 711, 1331, 513, 2140, 267, 2606, 2453, 610, 2592, 269, 1684, 711, 2491, 2596, 9226, 2035, 899, 3252, 543, 4632, 269, 1684, 711, 946, 16814, 585, 11249, 269, 3503, 519, 1543, 2047, 269, 0, 4065, 8889, 543, 21637, 281, 10435, 12140, 14568, 585, 15526, 2439, 5331, 596, 2811, 693, 1153, 267, 9361, 538, 707, 5172, 1362, 269, 1411, 2972, 1565, 1007, 1919, 543, 2324, 609, 707, 2828, 269, 1809, 1018, 952, 835, 1554, 267, 596, 1397, 909, 547, 1265, 856, 602, 707, 4928, 814, 4957, 286, 9320, 972, 616, 1932, 1082, 3214, 538, 519, 4055, 267, 1818, 621, 2182, 585, 596, 547, 1445, 269, 2107, 5310, 707, 4116, 3085, 1405, 723, 2614, 2200, 547, 4001, 596, 782, 519, 3579, 8631, 596, 1616, 547, 1451, 827, 269, 901, 3510, 3884, 1405, 4998, 267, 1318, 286, 2334, 781, 1946, 649, 991, 2069, 4507, 543, 15024, 1107, 789, 948, 1711, 1732, 3506, 585, 3025, 2439, 3383, 267, 1018, 4010, 1281, 713, 1611, 286, 2913, 781, 2736, 1524, 891, 2462, 1913, 883, 1945, 811, 19242, 269, 1323, 2878, 25531, 3609, 1262, 568, 3274, 513, 1305, 540, 3652, 610, 4808, 2813, 676, 6608, 267, 3906, 267, 610, 1256, 1367, 3506, 269, 1452, 4507, 2832, 547, 2327, 602, 1169, 2875, 4991, 513, 4023, 8929, 693, 8391, 2298, 2069, 269, 2201, 519, 824, 1688, 267, 2878, 25531, 6963, 1262, 4016, 547, 1713, 2242, 1500, 1369, 3872, 1949, 1759, 593, 1346, 4507 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

[ 1560, 729, 711, 835, 540, 519, 476, 866, 16626, 689, 519, 16154, 6429, 543, 519, 6142, 2754, 733, 2105, 602, 972, 729, 1100, 2963, 602, 646, 729, 2965, 513, 18213, 593, 519, 8184, 610, 602, 646, 1185, 5747, 269, 2311, 519, 942, 540, 519, 16154, 267, 9796, 928, 729, 8185, 538, 7963, 543, 519, 2754, 10645, 602, 519, 4128, 646, 5795, 585, 1010, 7552, 547, 12968, 565, 21343, 1705, 711, 17854, 519, 13258, 3238, 269, 9796, 928, 729, 606, 8956, 2406, 26809, 13108, 25982, 609, 476, 2420, 1296, 540, 3028, 543, 729, 606, 14885, 1161, 4274, 269, 3571, 30612, 267, 4498, 28625, 9796, 928, 267, 1185, 849, 19429, 513, 1269, 4968, 267, 1822, 3441, 9290, 630, 3225, 20884, 547, 1269, 273, 267, 10384, 267, 1822, 538, 476, 1001, 280, 264, 1996, 7754, 1977, 5794, 1811, 4505, 602, 1032, 267, 543, 17792, 519, 25195, 602, 1200, 9393, 729, 711, 20829, 519, 7077, 950, 621, 4682, 1524, 269, 2701, 19429, 513, 27779, 1996, 519, 6142, 2754, 547, 735, 601, 621, 547, 2628, 1055, 519, 3609, 269, 595, 5723, 22602, 1767, 602, 8047, 6514, 540, 519, 7077, 781, 20739, 1188, 720, 1185, 12199, 856, 519, 7872, 540, 513, 10514, 16411, 540, 1022, 2186, 20829, 519, 8484, 269, 7754, 2549, 22602, 2663, 15861, 602, 789, 1185, 1044, 14236, 9796, 928, 1317, 540, 1010, 2250, 14885, 1161, 1995, 267, 519, 2179, 540, 6142, 12349, 267, 543, 519, 1249, 602, 646, 1185, 12349, 513, 835, 17574, 19044, 547, 12968, 565, 21343, 693, 513, 942, 950, 646, 729, 8185, 538, 7963, 563, 268, 834, 3008, 301, 589, 7878, 8009, 645, 27739, 476, 4391, 278, 31854, 665, 745, 16014, 476, 1015, 1700, 3066, 715, 3445, 280, 4510, 12968, 565, 21343, 267, 31254, 2668, 28645, 8881, 8416, 269, 8158, 476, 278, 4873, 476, 1001, 280, 563, 268, 834, 13328, 4469, 2074, 3399, 4653, 2668, 634, 5842, 12770, 1401, 3133, 518, 269, 476, 2918, 4873, 476, 3707, 278, 269, 533, 269, 476, 2767, 269, 8158, 476, 1704, 4873, 476, 1001, 280, 1107, 3842, 1715, 4944, 3639, 2593, 563, 268, 3751, 267, 22526, 630, 1704, 4873, 476, 1001, 273, 1040, 834, 293, 2391, 18471, 268, 763, 28131, 2060, 7754, 2549, 281, 589, 4873, 476, 1704, 628, 7788, 15208, 2668, 2817, 5398, 15571, 269, 8158, 476, 736, 4873, 476, 1001, 280, 563, 268, 834, 32292, 1977, 2622, 5794, 1811, 1062, 942, 3349, 267, 5239, 476, 2767, 1107, 5437, 476, 1789, 267, 476, 4198, 278, 2668, 2160, 540, 24543, 23905, 7913, 26888, 269, 7754, 1977, 2622, 5794, 1811, 269, 476, 4198, 278, 269, 8158, 476, 1704, 4873, 476, 1001, 280, 563, 268, 834, 5141, 826, 1160, 1407, 8771, 282, 9612, 623, 19813, 585, 476, 4510, 593, 5794, 4802, 518, 2668, 634, 18718, 1633, 17650, 2317, 269, 18718, 1633, 267, 4993, 269, 476, 280, 5437, 476, 4198, 278, 269, 533, 269, 476, 272, 269, 8158, 476, 1691, 4873, 476, 1001, 280, 1107, 3842, 14786, 2593, 563, 268, 834, 288, 7878, 6452, 1211, 7797, 281, 7754, 1977, 2622, 5794, 1811, 267, 5549, 1421, 645, 27739, 476, 4391, 278, 267, 715, 476, 3445, 280, 4510, 267, 769, 519, 7414, 7909, 267, 9737, 12968, 565, 21343, 543, 5842, 12770, 267, 5437, 476, 280, 267, 476, 4198, 278, 2668, 6406, 17224, 517, 2246, 923, 8274, 269, 8158, 476, 278, 4873, 476, 1001, 280, 563, 268, 834, 28775, 674, 3547, 585, 476, 4510, 593, 5794, 4802, 518, 23452, 538, 7414, 2668, 634, 5842, 12770, 1401, 3133, 518, 269, 476, 1015, 5437, 476, 4198, 278, 269, 533, 269, 476, 272, 269, 8158, 476, 278, 4873, 476, 1001, 280, 1107, 3842, 1715, 4944, 3639, 2593, 563, 268, 834, 10111, 8175, 11835, 1231, 5794, 4802, 518, 15391, 282, 11068, 1515, 4112, 8531, 670, 842, 539, 2668, 634, 18718, 1633, 17650, 2317, 269, 18718, 1633, 267, 4993, 269, 476, 1015, 5437, 476, 4198, 278, 269, 533, 269, 476, 272, 269, 8158, 476, 1691, 4873, 476, 1001, 280, 1107, 3842, 14786, 2593, 563, 268, 834, 306, 12171, 11607, 295, 517, 565, 21343, 5794, 4802, 518, 31932, 2060, 476, 4510, 589, 4580, 2668, 634, 5842, 12770, 1401, 3133, 518, 269, 476, 280, 5437, 476, 4198, 278, 269, 533, 269, 476, 272, 269, 8158, 476, 278, 4873, 476, 1001, 280, 1107, 3842, 1715, 4944, 3639, 2593, 563, 268, 22870, 1115, 267, 10793, 630, 1015, 5437, 476, 4198, 278, 1040, 834, 21080, 1467, 8433, 3371, 13201, 570, 1619, 25980, 2668, 634, 5842, 12770, 1401, 3133, 518, 269, 533, 269, 476, 279, 269, 8158, 476, 278, 4873, 476, 1001, 280, 1107, 3842, 1715, 4944, 3639, 2593, 563, 268, 834, 1789, 4643, 525, 16418, 23452, 5794, 4802, 518, 2668, 634, 5842, 12770, 1401, 3133, 518, 269, 476, 1015, 5437, 476, 4198, 278, 269, 533, 269, 476, 274, 269, 8158, 476, 278, 4873, 476, 1001, 280, 1107, 3842, 1715, 4944, 3639, 2593, 563, 268, 2605, 880, 2006, 267, 8355, 630, 1626, 5130, 476, 4198, 279, 1040, 834, 5522, 2033, 25491, 12213, 839, 693, 24651, 6969, 595, 5723, 2668, 634, 5842, 12770, 1401, 3133, 518, 269, 533, 269, 476, 1691, 269, 8158, 476, 278, 4873, 476, 1001, 280, 1107, 3842, 1715, 4944, 3639, 2593, 563, 268, 5839, 4486, 267, 5261, 630, 1556, 5437, 476, 4198, 278, 1040, 834, 14503, 732, 267, 4460, 518, 267, 674, 5593, 590, 5308, 14780, 1047, 5794, 4802, 518, 670, 8554, 2668, 634, 5842, 12770, 1401, 3133, 518, 269, 533, 269, 476, 272, 269, 8158, 476, 278, 4873, 476, 1001, 280, 1107, 3842, 1715, 4944, 3639, 2593, 563, 268, 834, 307, 7773, 11525, 525, 16418, 31932, 1773, 2033, 1849, 1132, 2668, 634, 18718, 1633, 17650, 2317, 269, 18718, 1633, 267, 4993, 269, 476, 1321, 5437, 476, 4198, 278, 269, 533, 269, 476, 272, 269, 8158, 476, 1691, 4873, 476, 1001, 280, 1107, 3842, 14786, 2593, 563, 268, 834, 10111, 8175, 7101, 541, 4643, 525, 15012, 15391, 585, 476, 4510, 2668, 634, 18718, 1633, 17650, 2317, 269, 18718, 1633, 267, 4993, 269, 476, 1556, 5437, 476, 4198, 278, 269, 533, 269, 476, 272, 269, 8158, 476, 1691, 4873, 476, 1001, 280, 1107, 3842, 14786, 2593, 563, 268, 4173, 5287, 267, 13983, 1375, 282, 10783, 523, 9440, 267, 8230, 630, 20464, 476, 1001, 278, 1040, 834, 1432, 19732, 2989, 547, 7754, 2549, 22947, 476, 278, 286, 2668, 5794, 1299, 6611, 18225, 269, 8158, 476, 278, 4873, 476, 1001, 280, 563, 268, 834, 28775, 12846, 4477, 323, 585, 476, 4510, 593, 31932, 1773, 2033, 2668, 634, 5842, 12770, 1401, 3133, 518, 269, 476, 1691, 5437, 476, 4198, 278, 269, 533, 269, 476, 277, 269, 8158, 476, 278, 4873, 476, 1001, 280, 1107, 3842, 1715, 4944, 3639, 2593, 563, 268, 834, 29309, 532, 5794, 4802, 518, 781, 654, 516, 1188, 720, 267, 27607, 645, 3672, 590, 32484, 538, 7414, 2668, 634, 18718, 1633, 17650, 2317, 269, 18718, 1633, 267, 4993, 269, 476, 1691, 5437, 476, 4198, 278, 269, 533, 269, 476, 272, 269, 8158, 476, 1691, 4873, 476, 1001, 280, 1107, 3842, 14786, 2593, 563, 268, 834, 5719, 11421, 962, 3658, 5794, 4802, 518, 9605, 1849, 826, 282, 2859, 645, 3672, 15391, 539, 2668, 634, 18718, 1633, 17650, 2317, 269, 18718, 1633, 267, 4993, 269, 476, 1428, 5437, 476, 4198, 278, 269, 533, 269, 476, 272, 269, 8158, 476, 1691, 4873, 476, 1001, 280, 1107, 3842, 14786, 2593, 563, 268, 834, 1704, 645, 3672, 5853, 538, 5794, 9612, 282, 3143, 6178, 540, 4112, 8531, 2668, 634, 5842, 12770, 1401, 3133, 518, 269, 476, 1428, 5437, 476, 4198, 278, 269, 533, 269, 476, 272, 269, 8158, 476, 278, 4873, 476, 1001, 280, 1107, 3842, 1715, 4944, 3639, 2593, 563, 268, 834, 10111, 8175, 4825, 9506, 2060, 476, 866, 5794, 16458, 2668, 634, 18718, 1633, 17650, 2317, 269, 18718, 1633, 267, 4993, 269, 476, 1626, 5437, 476, 4198, 278, 269, 533, 269, 476, 1015, 269, 8158, 476, 1691, 4873, 476, 1001, 280, 1107, 3842, 14786, 2593, 563, 268, 834, 5522, 2033, 7861, 574, 9612, 661, 2738, 282, 9605, 670, 842, 539, 2668, 634, 5842, 12770, 1401, 3133, 518, 269, 476, 1626, 5437, 476, 4198, 278, 269, 533, 269, 476, 272, 269, 8158, 476, 278, 4873, 476, 1001, 280, 1107, 3842, 1715, 4944, 3639, 2593, 563, 268, 25760, 267, 5261, 18536, 630, 1001, 279, 1040, 8299, 571, 6441, 1618, 589, 7878, 267, 476, 13893, 271, 1700, 3192, 271, 281, 634, 4886, 540, 2871, 653, 344, 543, 30771, 539, 17540, 1088, 720, 3690, 7964, 269, 5062, 293, 541, 1633, 269, 9768, 476, 7818, 15704, 26116, 2004, 274, 271, 563, 268, 834, 3008, 301, 589, 7878, 8009, 645, 27739, 476, 4391, 278, 31854, 665, 745, 16014, 476, 1015, 1700, 2918, 715, 9818, 273, 309, 14822, 267, 7330, 2668, 28645, 8881, 8416, 269, 8158, 476, 2641, 4864, 476, 1001, 280, 563, 268, 834, 306, 3563, 540, 23452, 1773, 2033, 667, 17097, 2668, 634, 5842, 12770, 1401, 3133, 518, 269, 476, 1015, 5437, 476, 4198, 278, 269, 533, 269, 476, 274, 269, 8158, 476, 278, 4873, 476, 1001, 280, 1107, 3842, 1715, 4944, 3639, 2593, 563, 268, 834, 8266, 540, 476, 4510, 2201, 11709, 1639, 31854, 665, 745, 16014, 2668, 634, 18718, 1633, 17650, 2317, 269, 18718, 1633, 267, 4993, 269, 476, 280, 5437, 476, 4198, 278, 269, 533, 269, 476, 1015, 269, 8158, 476, 1691, 4873, 476, 1001, 280, 1107, 3842, 14786, 2593, 563, 268, 5062, 5226, 24513, 267, 1849, 3599, 630, 1015, 5437, 476, 4198, 278, 1040, 834, 24868, 539, 17644, 700, 3293, 476, 3607, 593, 674, 622, 995, 25676, 2668, 634, 5842, 12770, 1401, 3133, 518, 269, 533, 269, 476, 272, 269, 8158, 476, 278, 4873, 476, 1001, 280, 1107, 3842, 1715, 4944, 3639, 2593, 563, 268, 834, 293, 569, 619, 262, 19198, 595, 1782, 532, 547, 16593, 2668, 634, 5842, 12770, 1401, 3133, 518, 269, 476, 1015, 5437, 476, 4198, 278, 269, 533, 269, 476, 274, 269, 8158, 476, 278, 4873, 476, 1001, 280, 1107, 3842, 1715, 4944, 3639, 2593, 563, 268, 834, 21080, 267, 7256, 4880, 19537, 1233, 1280, 23452, 1773, 2033, 2668, 634, 18718, 1633, 17650, 2317, 269, 18718, 1633, 267, 4993, 269, 476, 1724, 5437, 476, 4198, 278, 269, 533, 269, 476, 278, 269, 8158, 476, 1691, 4873, 476, 1001, 280, 1107, 3842, 14786, 2593, 563, 268, 834, 5522, 2033, 9197, 1662, 20226, 674, 2391, 547, 7046, 1160, 2041, 2668, 634, 5842, 12770, 1401, 3133, 518, 269, 476, 1704, 5437, 476, 4198, 278, 269, 533, 269, 476, 274, 269, 8158, 476, 278, 4873, 476, 1001, 280, 1107, 3842, 1715, 4944, 3639, 2593, 563, 268, 834, 293, 5424, 21646, 2697, 476, 275, 5794, 4802, 518, 7861, 15501, 2668, 634, 5842, 12770, 1401, 3133, 518, 269, 4139, 5240, 6796, 269, 476, 866, 5437, 476, 4198, 278, 269, 533, 269, 476, 2641, 269, 8158, 476, 278, 4873, 476, 1001, 280, 1107, 3842, 1715, 4944, 3639, 2593, 563, 268, 834, 5719, 11421, 590, 26661, 585, 5794, 9197, 1662, 1849, 1132, 2668, 634, 5842, 12770, 1401, 3133, 518, 269, 476, 736, 5437, 476, 4198, 278, 269, 533, 269, 476, 1321, 269, 8158, 476, 278, 4873, 476, 1001, 280, 1107, 3842, 1715, 4944, 3639, 2593, 563, 268, 834, 290, 5723, 8935, 321, 1206, 1773, 2033, 2349, 770, 2668, 634, 5842, 12770, 1401, 3133, 518, 269, 476, 1240, 5181, 476, 4198, 279, 269, 533, 269, 476, 1015, 269, 8158, 476, 278, 4873, 476, 1001, 280, 1107, 3842, 1715, 4944, 3639, 2593, 563, 268, 834, 6124, 5794, 9197, 1662, 1849, 826, 2668, 634, 5842, 12770, 1401, 3133, 518, 269, 476, 1321, 5130, 476, 4198, 279, 269, 533, 269, 476, 272, 269, 8158, 476, 278, 4873, 476, 1001, 280, 1107, 3842, 1715, 4944, 3639, 2593, 563, 268, 27293, 267, 3798, 630, 1626, 5181, 476, 4198, 279, 1040, 834, 306, 629, 582, 720, 670, 842, 539, 538, 1412, 6872, 7414, 5794, 9197, 1662, 674, 7614, 547, 476, 4510, 2668, 634, 5842, 12770, 1401, 3133, 518, 269, 533, 269, 476, 272, 269, 8158, 476, 278, 4873, 476, 1001, 280, 1107, 3842, 1715, 4944, 3639, 2593, 563, 268, 27293, 267, 3798, 630, 1704, 5181, 476, 4198, 279, 1040, 834, 289, 4861, 670, 842, 769, 5794, 1467, 9197, 1662, 7201, 1160, 2041, 2668, 634, 5842, 12770, 1401, 3133, 518, 269, 533, 269, 476, 272, 269, 8158, 476, 278, 4873, 476, 1001, 280, 1107, 3842, 1715, 4944, 3639, 2593, 563, 268, 27293, 267, 3798, 630, 2420, 5239, 476, 4198, 279, 1040, 834, 306, 3726, 674, 6150, 2201, 7754, 2549, 9197, 1662, 2668, 634, 5842, 12770, 1401, 3133, 518, 269, 533, 269, 476, 279 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

[ 25925, 543, 519, 2142, 770, 610, 6249, 11614, 899, 18557, 1633, 543, 18557, 2622, 563, 3674, 29159, 1434, 610, 3983, 888, 291, 1392, 2305, 666, 1291, 883, 4057, 2773, 267, 811, 1981, 543, 2362, 5092, 12375, 256, 1677, 2057, 9561, 938, 2883, 9566, 4212, 538, 513, 29070, 2680, 689, 513, 2582, 5092, 630, 328, 4318, 1421, 28153, 1070, 649, 3262, 938, 2724, 1472, 883, 1114, 13632, 267, 7554, 267, 21113, 543, 1483, 10040, 3180, 902, 563, 1692, 1281, 29159, 1860, 519, 4398, 540, 513, 6109, 888, 2304, 4835, 3854, 2344, 568, 1141, 519, 24323, 6383, 6666, 8928, 540, 1114, 15523, 616, 7535, 539, 267, 3850, 513, 4129, 1881, 6109, 547, 21138, 2200, 547, 922, 1655, 946, 563, 1692, 1281, 14769, 29159, 948, 2569, 1981, 543, 25359, 888, 21545, 12859, 29159, 568, 519, 1981, 2359, 4640, 540, 9256, 1114, 19736, 547, 2569, 519, 2949, 5092, 14769, 1981, 269, 898, 666, 948, 11574, 1981, 543, 25359, 676, 10825, 1761, 3902, 23638, 538, 2901, 4287, 856, 2066, 1114, 7221, 563, 1432, 1281, 621, 1611, 547, 4129, 1518, 707, 1870, 888, 291, 1392, 2305, 568, 513, 2208, 4640, 602, 3322, 10024, 883, 513, 1007, 2344, 610, 2872, 1107, 835, 602, 707, 1870, 3085, 1406, 4867, 7500, 538, 1107, 1247, 849, 2870, 513, 1007, 1587, 585, 602, 1007, 2344, 563, 1432, 616, 519, 1114, 2010, 540, 29159, 2994, 888, 291, 1392, 2305, 568, 513, 2208, 4640, 602, 3322, 10024, 883, 513, 1007, 2344, 610, 2872, 1107, 835, 602, 707, 1870, 3085, 1406, 4867, 7500, 538, 1107, 1247, 849, 2870, 513, 1007, 1587, 585, 602, 1007, 2344, 269, 7756, 2010, 540, 29159, 2994, 1703, 616, 1896, 1114, 2010, 540, 29159, 912, 1692, 616, 4398, 543, 29159, 1860, 6109, 2773, 888, 2171, 8495, 2417, 519, 29927, 540, 519, 29159, 26024, 3095, 676, 10962, 4398, 607, 15645, 908, 3815, 269, 589, 1239, 540, 476, 29204, 10909, 729, 1031, 547, 2932, 513, 8470, 1239, 2079, 27195, 519, 2883, 5823, 6080, 543, 519, 2164, 1397, 1614, 1271, 4681, 563, 1692, 1281, 29159, 2569, 519, 1981, 540, 606, 5092, 888, 291, 1392, 2305, 568, 513, 4480, 602, 6971, 1981, 676, 782, 20814, 9541, 1851, 1585, 2883, 7405, 267, 6080, 267, 543, 824, 6688, 563, 1432, 1058, 594, 1413, 585, 538, 513, 29159, 1544, 888, 2414, 1376, 267, 596, 991, 547, 1118, 2386, 707, 10697, 3575, 630, 324, 3052, 1421, 13632, 267, 7554, 267, 543, 2110, 3856, 9541, 264, 568, 13988, 547, 707, 5092, 942, 7406, 267, 2883, 2115, 267, 543, 4313, 609, 25359, 269, 634, 3732, 10697, 30012, 2630, 9192, 1585, 5666, 540, 6006, 267, 6125, 267, 543, 2110, 3856, 9541, 547, 9414, 1114, 2157, 540, 1981, 543, 2132, 1761, 563, 1432, 1058, 581, 519, 6871, 540, 13632, 538, 513, 4129, 1881, 14769, 888, 13126, 281, 21864, 20180, 619, 267, 5549, 269, 23738, 16375, 1871, 540, 7221, 4371, 538, 2150, 1314, 539, 6589, 540, 1269, 1911, 267, 1822, 538, 606, 782, 2275, 1662, 14769, 282, 513, 4129, 1881, 2208, 14769, 540, 476, 5392, 260, 2475, 13632, 267, 476, 2641, 260, 3486, 13632, 267, 476, 1839, 260, 7554, 267, 543, 476, 276, 260, 2110, 3856, 9541, 282, 543, 782, 3613, 1442, 14769, 540, 476, 3583, 260, 2475, 13632, 543, 476, 1789, 260, 3486, 13632, 269, 0, 20877, 532, 6096, 15206, 14400, 4569, 1656, 11242, 2560, 10439, 1436, 454, 347, 25147, 769, 9137, 2008, 347, 13775, 11261, 1475, 32637, 2073, 5412, 476, 1015, 628, 476, 1708, 271, 2008, 8624, 1681, 9664, 269, 13628, 2073, 5412, 476, 1015, 628, 476, 1708, 271, 563, 32621, 689, 8641, 532, 6096, 10778, 2005, 568, 1271, 547, 1174, 602, 2681, 676, 1297, 2835, 543, 552, 268, 9248, 616, 2966, 585, 3214, 267, 945, 723, 1880, 7965, 609, 1565, 543, 849, 18906, 4369, 269, 31849, 540, 4079, 723, 15874, 519, 5383, 602, 891, 7801, 3817, 2709, 269, 634, 1883, 5413, 540, 2681, 676, 1297, 2835, 568, 602, 789, 2965, 2490, 519, 2898, 1184, 540, 1565, 538, 547, 606, 3078, 29863, 269, 4475, 707, 1126, 786, 1353, 13004, 9238, 15029, 2348, 513, 1390, 942, 609, 1585, 2592, 563, 290, 578, 24742, 7801, 1433, 3817, 1491, 1169, 1404, 942, 2534, 540, 10800, 2692, 903, 543, 10800, 326, 597, 3149, 543, 12662, 621, 593, 1957, 269, 898, 779, 1187, 543, 3078, 547, 1294, 3214, 25793, 1662, 782, 741, 5876, 609, 1175, 513, 5373, 543, 930, 22916, 976, 269, 1656, 609, 513, 10800, 24742, 6249, 267, 972, 779, 4986, 1732, 256, 1703, 616, 9748, 540, 7792, 10800, 24742, 7801, 3817, 593, 519, 4950, 269, 8281, 3817, 543, 2681, 538, 513, 521, 18150, 267, 513, 669, 3089, 530, 6782, 267, 610, 513, 6292, 540, 10800, 24742, 25192, 543, 596, 2461, 1175, 3478, 3323, 269, 17949, 3108, 543, 3108, 540, 1187, 609, 707, 3214, 7801, 10800, 24742, 3817, 563, 27154, 7801, 2835, 269, 4855, 1187, 3662, 7801, 2835, 602, 1683, 606, 5044, 540, 1114, 2831, 585, 519, 1053, 547, 2681, 269, 5213, 1406, 1175, 7017, 585, 519, 1482, 2025, 2831, 282, 1413, 585, 7801, 2835, 609, 16678, 2831, 269, 901, 711, 1152, 2488, 930, 3099, 267, 855, 621, 849, 2488, 513, 1390, 1565, 4316, 269, 634, 1453, 786, 1451, 513, 1390, 4308, 827, 1007, 2831, 543, 741, 5054, 269, 20550, 14795, 616, 849, 513, 1360, 2442, 3662, 1851, 1762, 1453, 269, 4855, 856, 799, 2831, 519, 3214, 899, 543, 1683, 873, 609, 7801, 2835, 1808, 547, 741, 4690, 563, 6546, 779, 1018, 7801, 3817, 543, 7801, 2835, 798, 585, 3214, 269, 1358, 3142, 519, 9345, 547, 1272, 563, 12179, 1543, 267, 22028, 4882, 267, 610, 824, 1570, 602, 1522, 581, 1336, 593, 713, 3135, 602, 568, 711, 713, 3135, 3959, 3788, 519, 10677, 540, 922, 9757, 8227, 4882, 269, 769, 1100, 1259, 1281, 10871, 295, 739, 3409, 9562, 610, 5539, 585, 971, 3688, 543, 596, 1058, 3343, 3656, 9844, 585, 1022, 946, 540, 971, 2326, 689, 922, 8227, 269 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

[ 12493, 781, 2560, 15907, 476, 4037, 260, 540, 713, 4747, 729, 689, 5779, 543, 3049, 585, 519, 2831, 602, 3132, 621, 269, 11982, 21256, 10446, 538, 693, 2547, 1614, 4525, 281, 3162, 3013, 267, 2560, 16684, 3778, 540, 16581, 16373, 19938, 268, 272, 269, 272, 11982, 568, 835, 540, 519, 1034, 2565, 9922, 540, 519, 4095, 4346, 269, 3778, 540, 11982, 2160, 267, 918, 7974, 269, 1323, 26954, 3778, 540, 11982, 267, 476, 1015, 267, 1822, 645, 5861, 11607, 288, 6185, 269, 476, 1015, 267, 1822, 10741, 609, 519, 1101, 1634, 6683, 543, 7475, 538, 513, 2104, 538, 799, 649, 1522, 723, 547, 946, 7864, 2200, 547, 3049, 811, 1004, 269, 9147, 4095, 11982, 269, 476, 10082, 277, 1700, 5197, 271, 1547, 10228, 281, 29366, 526, 517, 4964, 269, 3127, 779, 1686, 814, 1044, 1360, 1434, 538, 2474, 540, 6683, 267, 543, 2094, 3504, 2053, 6683, 568, 2016, 1390, 2956, 676, 519, 1004, 540, 3127, 269, 634, 6694, 1686, 540, 13280, 568, 23091, 609, 922, 2797, 1686, 269, 22340, 269, 3778, 540, 519, 623, 869, 269, 5990, 25886, 5508, 589, 16165, 2975, 17109, 13543, 5442, 715, 5456, 2207, 8656, 20978, 5990, 23333, 2177, 24361, 661, 6938, 9215, 5990, 11553, 2464, 7728, 667, 17751, 634, 6694, 1686, 540, 13280, 568, 23091, 609, 922, 2797, 1686, 269, 634, 16581, 3778, 5980, 729, 8547, 538, 6115, 267, 9823, 538, 476, 4489, 280, 834, 1729, 3895, 519, 1719, 267, 1353, 543, 1382, 538, 519, 1686, 540, 6683, 1701, 634, 29143, 1709, 540, 2371, 543, 2831, 616, 4080, 538, 519, 1016, 29657, 676, 476, 12010, 271, 7460, 269, 13636, 13103, 267, 2560, 3778, 540, 6683, 538, 2560, 772, 2529, 269, 6683, 22020, 5664, 607, 256, 15907, 585, 1082, 1296, 267, 24061, 543, 5104, 329, 4209, 941, 1851, 2831, 602, 3132, 907, 634, 24162, 23582, 8605, 630, 12654, 3738, 689, 1875, 24578, 520, 1426, 585, 2831, 281, 2831, 849, 593, 256, 2986, 772, 2529, 269, 6694, 2256, 328, 14186, 941, 689, 1875, 24578, 520, 1426, 585, 1004, 540, 10991, 6464, 941, 689, 1875, 24578, 520, 1426, 585, 1004, 2560, 256, 3525, 5874, 267, 519, 2486, 3459, 13629, 513, 4760, 538, 476, 4572, 278, 9147, 4095, 6683, 3049, 593, 1426, 6738, 6683, 269, 12056, 538, 6683, 269, 5445, 1331, 6705, 267, 989, 1258, 558, 1235, 267, 1098, 1602, 1562, 543, 1082, 1866, 267, 1175, 476, 1704, 4939, 540, 6694, 256, 898, 849, 8309, 513, 1713, 4137, 547, 519, 24162, 23582, 8605, 630, 12654, 3738, 6436, 547, 2491, 3140, 256, 476, 1704, 4939, 540, 713, 4747, 729, 689, 5779, 543, 3049, 585, 519, 2831, 602, 941, 30042, 2560, 3778, 1862, 281, 621, 2488, 1426, 602, 666, 581, 10057, 676, 5274, 7919, 269, 4322, 1331, 5388, 267, 5613, 5779, 1862, 5617, 773, 1386, 547, 723, 3323, 936, 476, 1015, 267, 1822, 1296, 3516, 15748, 538, 519, 2136, 2276, 267, 1361, 629, 1872, 270, 7476, 1399, 1862, 2986, 971, 5989, 4927, 849, 2232, 519, 13112, 2456, 540, 2470, 267, 519, 476, 736, 628, 11416, 4718, 519, 1646, 269, 8892, 7399, 998, 6683, 585, 3236, 18720, 267, 535, 617, 1457, 267, 3623, 720, 543, 907, 11310, 267, 621, 11313, 521, 2653, 547, 4952, 602, 891, 2242, 5949, 3728, 476, 9957, 1656, 1459, 6683, 543, 5654, 693, 2104, 7399, 10741, 1007, 2560, 513, 5618, 3778, 540, 6683, 267, 543, 1862, 5303, 1354, 476, 3707, 273, 543, 5214, 11396, 519, 4367, 540, 519, 1034, 2565, 9922, 540, 519, 4095, 4346, 8105, 1862, 634, 1032, 476, 2735, 278, 693, 645, 1731, 534, 518, 1004, 6108, 741, 2729, 2502, 538, 6683, 269, 5445, 1331, 6705, 989, 1258, 558, 1235, 269, 7731, 946, 602, 666, 581, 10057, 676, 5274, 1686, 540, 6683, 1331, 5388, 267, 5613, 543, 5779, 2707, 540, 14970, 16901, 281, 1004, 256, 1656, 922, 2012, 729, 18379, 18724, 2284, 11313, 521, 2698, 540, 476, 11011, 2929, 2244, 941, 256, 10558, 6683, 543, 5654, 693, 2104, 7399, 676, 6476, 267, 1175, 476, 1704, 4939, 540, 772, 2529, 269, 6694, 941, 256, 1269, 476, 4391, 275, 5479, 538, 8907, 538, 476, 1001, 279, 267, 950, 14661, 585, 10637, 519, 1433, 6257, 2250, 543, 1459, 543, 1862, 1280, 10637, 3049, 585, 519, 12136, 540, 513, 4838, 538, 6683, 568, 835, 519, 256, 13280, 11313, 521, 2653, 547, 4952, 602, 891, 2242, 5949, 3728, 941, 30042, 519, 2136, 2276, 267, 1361, 629, 1872, 270, 7476, 1399, 269, 2142, 902, 269, 4322, 1331, 5388, 267, 5613, 543, 5779, 3132, 621, 2560, 9147, 4095, 23511, 11982, 729, 811, 610, 1447, 24715, 656, 1282, 713, 1974, 2560, 3778, 540, 6683, 607, 513, 1279, 3856, 1184, 4909, 256, 18623, 723, 6069, 513, 1297, 540, 6436, 547, 2491, 519, 3140, 2560, 476, 272, 1686, 540, 6683, 713, 3896, 2966, 269, 29158, 575, 514, 519, 4095, 4346, 16595, 1646, 540, 6694, 2029, 1354, 476, 3707, 273, 543, 5214, 11396, 1851, 602, 269, 901, 4747, 729, 689, 5779, 543, 3049, 585, 519, 12136, 540, 513, 4838, 538, 6683, 568, 835, 519, 256, 2276, 267, 476, 10082, 276, 1700, 6642, 280, 1361, 629, 1872, 270, 7476, 1399, 16103, 1354, 476, 3707, 273, 543, 5214, 11396, 29143, 1709, 540, 2371, 543, 2831, 616, 4080, 538, 519, 676, 269, 1306, 519, 3135, 540, 519, 6191, 267, 723, 2322, 519, 4346, 593, 2362, 256, 634, 9998, 9709, 16276, 540, 2560, 9147, 4095, 6683, 6694, 13746, 3370, 1354, 2647, 256, 14893, 17118, 7449, 14571, 2504, 585, 1920, 946, 1686, 540, 6683, 1297, 540, 6436, 547, 2491, 519, 3140, 540, 256, 4658, 6108, 741, 2729, 2502, 538, 6683, 269, 5445, 1331, 6705, 267, 989, 1258, 558, 1235, 267, 1098, 1602, 1562, 543, 1082, 23511, 1677, 1628, 1686, 540, 6683, 3889, 267, 689, 8075, 547, 1426, 4859, 5656, 519, 2565, 1862, 717, 3497, 998, 6683, 585, 3236, 18720, 267, 535, 617, 1457, 267, 3623, 720, 543, 811, 519, 3778, 540, 6694, 2029, 3778, 269, 634, 12136, 540, 513, 2486, 267, 1510, 519, 948, 540, 6683, 2160, 267, 918, 7974, 1331, 6705, 267, 989, 1258, 558, 1235, 267, 543, 1421, 13265, 543, 23161, 941, 1851, 2831, 602, 3132, 621, 5989, 568, 2629, 6683, 256, 634, 4367, 540, 519, 1034, 2565, 9922, 540, 519, 1034, 2565, 9922, 540, 519, 3778, 540, 6683, 2160, 918, 7974, 269, 9137, 786, 2689, 519, 8129, 540, 6683, 538, 3703, 3127, 3040, 6683, 729, 811, 610, 1447, 24715, 656, 713, 1862, 589, 2110, 3778, 540, 6683, 267, 32645, 543, 30656, 630, 22362, 543, 4065, 10406, 3738, 585, 2831, 2831, 1862, 27517, 519, 16595, 1646, 540, 8105, 10568, 267, 24061, 543, 5104, 329, 4209, 941, 1851, 2831, 602, 3132, 621, 6694, 538, 256, 2142, 902, 269, 4322, 1331, 5388, 267, 5613, 543, 5779, 2707, 540, 14970, 16901, 281, 1082, 1004, 741, 1862, 2422, 540, 10991, 6464, 476, 272, 3738, 713, 3896, 568, 2966, 267, 2919, 267, 543, 9738, 519, 1862, 1773, 10165, 16276, 540, 2560, 9147, 4095, 6683, 2921, 519, 2504, 6384, 547, 519, 5101, 269, 634, 6191, 543, 2804, 4644, 1702, 267, 621, 10741, 1007, 2560, 513, 5618, 1686, 540, 6683, 1862, 12618, 18330, 543, 5104, 329, 4209, 941, 1851, 7031, 267, 13265, 543, 23161, 941, 1851, 2831, 602, 941, 30042, 1426, 269, 28636, 547, 2491, 519, 3140, 1646, 540, 6694, 2029, 1354, 476, 3707, 273, 543, 5214, 11396, 5779, 543, 585, 256, 589, 2362, 2208, 18330, 6069, 513, 1297, 540, 6436, 547, 2491, 519, 3140, 1646, 540, 8105, 6197, 3001, 269, 595, 29266, 2560, 538, 1840, 547, 6079, 12381, 267, 519, 476, 736, 628, 11416, 4718, 519, 16595, 1646, 540, 8105, 7919, 269, 4322, 1862, 281, 621, 2488, 1426, 602, 666, 581, 10057, 676, 5274, 7919, 269, 4322, 1331, 5388, 267, 5613, 5779, 29755, 2560, 3778, 540, 6683, 1739, 519, 1426, 3761, 1282, 519, 2038, 476, 1960, 271, 338, 267, 723, 519, 269, 1280, 2921, 519, 2504, 6384, 547, 519, 1985, 1377, 513, 1279, 3856, 1184, 540, 4909, 1514, 543, 4644, 269, 12358, 652, 1709, 540, 2371, 543, 2831, 616, 4080, 538, 519, 1016, 29657, 676, 476, 12010, 271, 2807, 17667, 11396, 1686, 540, 6683, 267, 723, 2322, 519, 4346, 593, 513, 2362, 2208, 18330, 4939, 540, 713, 4747, 729, 689, 543, 269, 2201, 6694, 2029, 1354, 476, 3707, 273, 543, 5214, 11396, 513, 2362, 2208, 18330, 1098, 1602, 1562, 543, 1082, 1866, 15024, 15748, 1862, 634, 5664, 5101, 607, 519, 3135, 540, 519, 20996, 1234, 1653, 6705, 267, 989, 1258, 558, 1235, 267, 1098, 1602, 1562, 543, 1082, 1866, 543, 630, 1862, 13870, 6384, 547, 519, 4367, 540, 519, 9998, 9709, 16276, 540, 2560, 4095, 1862, 10801, 519, 1032, 476, 2735, 278, 693, 645, 1731, 534, 518, 4095, 4346, 3761, 1282, 519, 4657, 12405, 1739, 519, 1426, 3761, 519, 256, 22453, 3262, 946, 540, 10991, 6464, 2244, 25614, 941, 10294, 5078, 585, 3395, 7031, 1628, 8628, 3889, 267, 689, 547, 563, 11679, 276, 1715, 17972, 267, 12891, 758, 667, 25475, 595, 878, 25975, 3960, 853, 1846, 267, 7731, 24053, 589, 1744, 582, 769, 634, 14730, 267, 8865, 5375, 15944, 2160, 21989, 25397, 267, 661, 1492, 331, 670, 8354, 2006, 700, 1803, 9835, 323, 18805, 267, 30733, 622, 25624, 3213, 2851, 267, 21926, 650, 6816, 31054, 23467, 267 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

[ 894, 4238, 1384, 281, 8528, 452, 5476, 346, 9795, 12917, 276, 268, 274, 9984, 273, 552, 476, 276, 24179, 274, 268, 273, 264, 15153, 315, 263, 275, 270, 273, 8358, 273, 552, 476, 275, 14370, 273, 270, 273, 264, 29911, 29911, 315, 273, 3867, 263, 272, 317, 273, 14587, 552, 630, 273, 317, 272, 8203, 273, 269, 15153, 29911, 29911, 754, 346, 9795, 348, 1103, 2489, 267, 24324, 1590, 581, 1031, 547, 5815, 519, 1931, 540, 6268, 952, 513, 1875, 12431, 1539, 894, 5106, 5526, 811, 982, 2899, 538, 606, 4082, 269, 1717, 267, 22697, 3858, 593, 513, 1880, 1931, 540, 6268, 585, 1896, 1455, 1875, 12431, 1539, 894, 4238, 269, 901, 568, 3274, 513, 4852, 716, 673, 15007, 547, 2057, 24324, 780, 288, 2451, 12431, 1539, 894, 5106, 568, 513, 1875, 12431, 1539, 894, 5106, 602, 568, 15007, 958, 11117, 689, 2451, 547, 1318, 267, 1775, 4318, 1421, 692, 281, 8528, 281, 8528, 5415, 1806, 692, 29381, 12431, 1539, 894, 4238, 1331, 519, 1739, 780, 265, 25513, 543, 6498, 540, 1483, 2338, 15311, 281, 1269, 343, 3917, 22271, 7807, 3847, 3287, 3917, 9368, 9984, 345, 29911, 3387, 2135, 13375, 28381, 1721, 782, 1422, 2431, 315, 348, 343, 11971, 267, 345, 514, 13992, 13375, 28381, 305, 9368, 315, 348, 282, 259, 15311, 1269, 343, 30819, 270, 345, 7807, 3847, 3287, 30819, 9368, 8358, 345, 29911, 29911, 15153, 3387, 2135, 13375, 28381, 1721, 782, 1422, 2431, 315, 348, 343, 11971, 267, 345, 514, 13992, 13375, 28381, 305, 9368, 315, 348, 3387, 2135, 13375, 28381, 609, 1422, 2431, 315, 348, 344, 552, 271, 267, 345, 552, 271, 269, 6911, 14738, 12431, 1539, 894, 4238, 1331, 519, 1739, 780, 265, 5890, 9426, 2747, 540, 1483, 2338, 15311, 281, 1269, 343, 23373, 3847, 28381, 344, 317, 345, 9368, 315, 13157, 343, 23373, 3847, 315, 3189, 3847, 12169, 317, 345, 9368, 9385, 2431, 315, 348, 1421, 6911, 281, 634, 2601, 20800, 2747, 568, 1318, 12431, 1539, 894, 568, 602, 513, 7368, 2451, 12431, 1539, 894, 20800, 2747, 5106, 1131, 581, 1447, 3730, 269, 13038, 23079, 1223, 630, 663, 1131, 264, 581, 17370, 9287, 609, 8691, 1384, 15311, 4399, 3847, 3287, 317, 344, 9368, 8203, 345, 24210, 23373, 3847, 315, 3189, 3847, 12169, 345, 9368, 9385, 2431, 315, 348, 1421, 6911, 15239, 12431, 1539, 894, 4238, 585, 799, 1100, 6671, 6268, 1931, 568, 3989, 1331, 519, 1739, 780, 265, 14171, 519, 6292, 3772, 3328, 540, 1483, 2338, 15311, 281, 4399, 3847, 315, 3189, 3847, 3287, 20742, 9368, 8358, 273, 266, 345, 1478, 273, 9368, 315, 348, 552, 13375, 28381, 343, 10954, 3847, 12169, 266, 345, 9368, 8358, 273, 1478, 273, 9368, 315, 348, 552, 13375, 28381, 343, 20742, 266, 345, 1478, 274, 9368, 315, 348, 29911, 3387, 2135, 13375, 28381, 1721, 930, 1422, 2431, 315, 348, 343, 11971, 267, 345, 514, 13992, 13375, 28381, 305, 9368, 315, 20467, 14204, 265, 14171, 519, 3448, 9148, 540, 5036, 15311, 1384, 281, 1384, 763, 3039, 851, 538, 519, 2451, 966, 3317, 6516, 4564, 9497, 288, 3269, 289, 8442, 257, 290, 2668, 634, 3039, 851, 538, 519, 1318, 966, 3317, 6516, 4564, 834, 288, 257, 2891, 289, 3269, 290, 257, 6393, 265, 4635, 1318, 12431, 1539, 894, 10035, 585, 1570, 19585, 666, 581, 12592, 552, 3052, 269, 676, 4354, 787, 268, 1692, 731, 19359, 281, 1294, 552, 3052, 269, 6476, 540, 519, 1101, 1079, 24936, 1682, 540, 519, 23664, 6975, 16654, 17429, 794, 1062, 609, 2596, 2036, 20788, 540, 2036, 22922, 7954, 780, 265, 589, 5033, 580, 4981, 568, 513, 1305, 609, 513, 6806, 1997, 894, 9352, 5106, 563, 265, 2155, 583, 18356, 543, 2733, 583, 2032, 616, 1079, 824, 4749, 5941, 3601, 540, 9352, 4238, 563, 265, 5295, 1997, 18356, 543, 3124, 18356, 616, 4617, 3029, 540, 1997, 18356, 780, 310, 1731, 12855, 7690, 269, 476, 1001, 271, 780, 2162, 6733, 693, 824, 21594, 1384, 1892, 1997, 18356, 2443, 607, 1539, 520, 344, 341, 30864, 4567, 553, 570, 521, 8539, 1217, 520, 11986, 3284, 2320, 384, 501, 385, 378, 26385, 7358, 659, 6359, 657, 5260, 344, 321, 384, 501, 281, 556, 345, 738, 21648, 683, 330, 842, 320, 533, 820, 7978, 1775, 20795, 552, 559, 384, 501, 338, 647, 571, 20795, 12682, 385, 367, 1766, 659, 6359, 385, 367, 693, 331, 1731, 24982, 26725, 1046, 384, 483, 269, 1306, 1539, 520, 344, 341, 30864, 536, 19476, 3429, 553, 521, 644, 384, 501, 25155, 807, 328, 630, 320, 1341, 630, 321, 1341, 524, 264, 815, 630, 320, 1341, 536, 264, 1341, 524, 264, 3352, 546, 879, 4445, 321, 2967, 630, 320, 6398, 630, 321, 6398, 524, 264, 815, 630, 320, 6398, 536, 264, 6398, 524, 264, 2560, 5231, 2037, 857, 9383, 25660, 17430, 737, 558, 7032, 17458, 6359, 657, 15662, 378, 1328, 19063, 692, 1892, 1997, 18356, 2443, 10902, 1294, 1997, 894, 2608, 2608, 2608, 1997, 18356, 1315, 476, 16745, 512, 643, 16659, 270, 10902, 3040, 3040, 3040, 6301, 28678, 281, 20875, 817, 1539, 622, 2560, 5231, 2422, 995, 7005, 8675, 692, 1892, 1997, 18356, 2443, 10902, 1294, 1997, 894, 2560, 5231, 1715, 2051, 5586, 5573, 9218, 692, 1892, 1997, 18356, 2443, 6423, 1997, 8271, 269, 2608, 2608, 2608, 2560, 5231, 17629, 1756, 692, 1892, 1997, 18356, 2443, 10902, 519, 2783, 540, 1373, 1997, 894, 2560, 5231, 22816, 5406, 776, 692, 1892, 1997, 18356, 2443, 562, 269, 7681, 267, 22687, 282, 1997, 894, 2623, 2560, 5231, 2296, 4207, 8675, 692, 1892, 1997, 18356, 2443, 607, 6440, 810, 6440, 857, 6440, 320, 6440, 339, 643, 6440, 328, 6440, 1399, 2560, 5231, 2296, 24424, 692, 1892, 7358, 1807, 1997, 18356, 2443, 1280, 519, 6310, 1523, 540, 1997, 18356, 267, 1294, 4889, 18356, 269, 769, 5752, 4654, 543, 6310, 10035, 267, 519, 1997, 18356, 630, 528, 4368, 640, 264, 540, 606, 11346, 568, 513, 3959, 602, 11887, 875, 12427, 540, 519, 1482, 9551, 775, 616, 19882, 538, 2507, 2560, 5231, 9504, 692, 1892, 5295, 1997, 18356, 2443, 769, 7493, 7223, 267, 1379, 1997, 18356, 568, 513, 4617, 1106, 540, 1997, 18356, 269, 2304, 7223, 630, 528, 811, 3622, 513, 29351, 264, 568, 1767, 547, 581, 1379, 1997, 894, 952, 519, 1016, 531, 5040, 6383, 676, 1022, 3693, 568, 1997, 894, 269, 3519, 4740, 569, 267, 713, 1797, 602, 952, 606, 3693, 1535, 2507, 2560, 5231, 9504, 692, 1892, 4889, 894, 3959, 2443, 901, 2376, 568, 827, 1997, 18356, 538, 6128, 269, 1280, 1997, 18356, 538, 519, 3844, 16267, 1770, 3965, 21461, 267, 1294, 17765, 21461, 269, 1280, 1997, 18356, 538, 5752, 4654, 267, 1294, 11346, 1997, 18356, 269, 769, 6128, 267, 1997, 18356, 568, 513, 3959, 2507, 2560, 5231, 9504, 0, 258, 27155, 10406, 281, 1141, 1281, 519, 14230, 979, 2496, 2252, 692, 303, 3287, 264, 815, 1535, 476, 275, 1341, 476, 275, 343, 476, 274, 910, 476, 1691, 343, 476, 273, 1341, 476, 3607, 343, 1341, 476, 3393, 692, 529, 5258, 676, 1535, 1341, 476, 276, 692, 663, 519, 14230, 602, 594, 1336, 568, 910, 10219, 271, 267, 1131, 621, 979, 693, 519, 1439, 540, 519, 23479, 286, 6145, 713, 1384, 343, 476, 274, 910, 476, 280, 343, 476, 273, 910, 476, 6795, 343, 1341, 476, 28796, 910, 476, 10219, 271, 26042, 265, 1862, 1721, 326, 582, 875, 547, 798, 713, 8631, 2433, 315, 692, 296, 2303, 596, 798, 711, 3972, 707, 3965, 267, 1589, 540, 6498, 689, 1101, 3741, 269, 1215, 1281, 8870, 6498, 960, 286, 1403, 596, 2119, 547, 7941, 4399, 2765, 346, 278, 2410, 276, 4151, 596, 917, 602, 519, 23479, 568, 1269, 272, 8961, 855, 875, 798, 596, 1265, 519, 14230, 286, 1411, 9062, 1269, 272, 24206, 476, 276, 284, 276, 259, 855, 596, 1869, 991, 1269, 273, 259, 547, 3914, 1269, 278, 10608, 769, 824, 1913, 281, 3230, 278, 815, 476, 272, 1422, 10383, 476, 276, 1341, 476, 273, 2330, 610, 267, 538, 2489, 267, 952, 596, 7941, 4399, 2765, 346, 301, 2410, 291, 4151, 13844, 519, 23479, 1269, 304, 259, 543, 519, 14230, 1269, 305, 8961, 621, 568, 3020, 982, 281, 3230, 301, 815, 1627, 1422, 10383, 667, 1341, 681, 9681, 3086, 267, 952, 596, 7941, 1312, 5011, 540, 713, 3830, 676, 1269, 291, 259, 596, 9156, 519, 3312, 6824, 281, 6695, 2765, 346, 301, 2410, 291, 13157, 304, 10954, 2765, 23334, 2410, 291, 15732, 2005, 1568, 519, 1482, 609, 21335, 267, 865, 538, 707, 2013, 281, 6695, 2765, 346, 303, 3287, 20972, 343, 266, 276, 13157, 304, 3287, 264, 10954, 2765, 23334, 2410, 343, 266, 276, 6525, 1141, 1269, 305, 15871, 11740, 259, 607, 824, 4267, 723, 11329, 856, 780, 7712, 1269, 303, 8987, 276, 6661, 268, 11740, 259, 543, 2094, 11377, 2765, 346, 303, 3287, 11924, 11740, 2410, 343, 266, 276, 13157, 343, 317, 274, 14870, 317, 273, 268, 280, 343, 266, 10037, 267, 2330, 9767, 723, 1269, 303, 3287, 6661, 263, 343, 317, 274, 14870, 317, 273, 268, 280, 343, 266, 10037, 7565, 343, 266, 276, 11924, 11740, 16859, 7445, 267, 303, 3287, 6661, 336, 3287, 1040, 326, 3287, 11924, 337, 3287, 7751, 2433, 563, 259, 263, 343, 317, 275, 266, 275, 343, 317, 274, 268, 1691, 343, 317, 273, 266, 3607, 343, 266, 3393, 264, 815, 630, 343, 317, 274, 14870, 317, 273, 268, 280, 343, 266, 10037, 1040, 263, 343, 266, 276, 264, 1341, 11196, 11740, 7751, 780, 296, 4126, 596, 4280, 585, 713, 267, 6382, 533, 30972, 780, 21446, 8271, 946, 14230, 11532, 1862, 547, 1265, 14230, 1152, 269, 1269, 303, 8987, 276, 6661, 268, 11740, 269, 6911, 295, 19860, 281, 519, 1318, 1267, 1058, 581, 3230, 346, 343, 8703, 274, 18511, 346, 343, 8703, 273, 18511, 280, 20867, 343, 266, 10037, 268, 11740, 20867, 1422, 3847, 263, 1535, 266, 276, 1422, 2431, 264, 476, 13064, 272, 6525, 1492, 14230, 568, 2016, 676, 1269, 268, 11740, 259, 0, 2162, 667, 559, 1081, 9046, 910, 24908, 7121, 692, 280, 269, 1325, 18146, 8605, 23848, 476, 280, 269, 272, 264, 667, 559, 1081, 476, 280, 269, 272, 269, 272, 264, 667, 559, 1081, 692, 280, 269, 272, 269, 272, 269, 272, 264, 4855, 3355, 5834, 538, 8920, 1081, 5668, 27701, 476, 272, 692, 13707, 6836, 281, 476, 3396, 1109, 22043, 281, 476, 3396, 1109, 654, 3994, 1384, 24280, 519, 7274, 540, 19857, 596, 991, 547, 1039, 883, 476, 6246, 20853, 540, 513, 476, 4391, 269, 4037, 4939, 3070, 547, 5965, 513, 476, 276, 269, 6858, 4939, 3070, 2496, 12812, 593, 519, 7735, 2630, 547, 1294, 519, 2626, 543, 3137, 692, 331, 321, 11224, 476, 25838, 269, 276, 20853, 4846, 692, 1607, 568, 513, 4320, 7269, 610, 5834, 8920, 1081, 1826, 1966, 269, 634, 1898, 4542, 568, 1627, 318, 272, 290, 318, 272, 815, 1627, 318, 273, 290, 318, 273, 563, 2080, 10484, 304, 318, 272, 815, 3355, 7274, 815, 476, 6246, 315, 15153, 332, 299, 563, 290, 318, 272, 815, 3355, 5834, 815, 476, 4391, 269, 4037, 315, 15153, 14999, 304, 318, 273, 815, 3803, 7274, 815, 7790, 315, 15153, 20853, 563, 290, 318, 273, 815, 3803, 5834, 815, 476, 276, 269, 6858, 315, 15153, 4939, 692, 11997, 267, 22198, 4474, 519, 4542, 267, 649, 1205, 912, 304, 318, 273, 815, 630, 304, 318, 272, 6398, 595, 318, 272, 19422, 290, 318, 273, 264, 4061, 1627, 318, 273, 815, 630, 6246, 6398, 476, 4391, 269, 4037, 264, 1315, 276, 269, 6858, 284, 30525, 269, 276, 315, 15153, 20853, 538, 14282, 2898, 1297, 780, 3086, 267, 10208, 519, 3355, 7274, 540, 519, 3070, 630, 6246, 315, 15153, 332, 299, 264, 689, 713, 3803, 7274, 630, 30525, 269, 276, 315, 15153, 332, 299, 264, 547, 3313, 519, 2179, 540, 19857, 547, 581, 3773, 281, 476, 30525, 269, 276, 315, 15153, 332, 299, 268, 6246, 315, 15153, 332, 299, 284, 25838, 269, 276, 315, 15153, 332, 299, 269, 630, 9172, 264, 0, 296, 991, 547, 917, 519, 4632, 630, 343, 11971, 1070, 8635, 6898, 543, 519, 11938, 3948, 585, 519, 1739, 267, 286, 305, 664, 11312, 10266, 1206, 1185, 476, 1911, 271, 17529, 540, 5835, 5862, 543, 476, 10219, 271, 17529, 540, 4544, 5862, 269, 1452, 1079, 13718, 296, 991, 547, 917, 519, 4632, 630, 343, 11971, 1070, 8635, 6898, 543, 519, 11938, 3948, 585, 519, 1739, 267, 2496, 305, 664, 11312, 10266, 1206, 1185, 476, 1911, 271, 17529, 540, 5835, 5862, 543, 476, 10219, 271, 17529, 540, 4544, 5862, 269, 1452, 1079, 4778, 786, 581, 6404, 543, 4421, 607, 1079, 1114, 18707, 540, 3039, 269, 2290, 3575, 3568, 3368, 5835, 543, 3368 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]