Search is not available for this dataset
input_ids
listlengths
1
2.05k
attention_mask
listlengths
1
2.05k
[ 540, 8515, 693, 476, 1911, 1183, 309, 1648, 269, 2755, 519, 17646, 6882, 729, 1031, 267, 519, 9570, 5223, 9715, 729, 6825, 569, 21022, 676, 476, 2004, 543, 476, 7742, 13179, 294, 344, 4882, 585, 476, 271, 269, 276, 543, 476, 274, 544, 288, 267, 5330, 5944, 563, 295, 15676, 1696, 620, 269, 476, 723, 1031, 1614, 7601, 22887, 340, 2209, 676, 1114, 11098, 540, 476, 271, 269, 276, 267, 476, 272, 269, 276, 543, 476, 274, 6515, 538, 513, 4232, 23534, 8470, 547, 6218, 519, 3239, 2773, 538, 513, 2298, 1852, 1449, 269, 1358, 4362, 519, 8901, 6571, 538, 519, 6094, 22887, 6672, 4259, 630, 271, 269, 276, 6515, 19923, 264, 729, 2362, 982, 602, 538, 519, 476, 274, 269, 271, 6515, 19923, 269, 769, 954, 14846, 2234, 5735, 609, 1896, 14806, 8113, 8554, 267, 519, 6740, 14806, 334, 17787, 616, 1152, 10710, 1310, 2789, 1437, 725, 540, 519, 14806, 334, 29465, 547, 3035, 11931, 1533, 13121, 574, 13011, 6724, 630, 330, 309, 335, 267, 544, 288, 267, 19706, 6882, 1040, 4475, 267, 513, 1505, 1419, 568, 4330, 607, 513, 968, 29602, 804, 8553, 892, 865, 602, 513, 2009, 19706, 6882, 610, 824, 6724, 949, 1689, 607, 2877, 1813, 547, 2799, 610, 1114, 943, 656, 558, 15205, 269, 6153, 324, 1696, 620, 269, 476, 723, 1044, 8246, 476, 271, 269, 274, 6515, 19923, 19706, 6882, 538, 513, 3339, 14806, 334, 9570, 1377, 543, 547, 3914, 513, 1970, 9570, 4259, 609, 1164, 11237, 2298, 267, 519, 7601, 19706, 6882, 2799, 476, 271, 269, 277, 6515, 16310, 1447, 2287, 476, 276, 544, 294, 344, 26553, 9570, 2557, 543, 3395, 737, 309, 335, 676, 476, 274, 269, 1358, 8612, 602, 519, 5365, 547, 6846, 5223, 630, 17928, 305, 264, 568, 2799, 689, 3339, 547, 1970, 9570, 1377, 585, 513, 5394, 2989, 943, 656, 558, 269, 5015, 267, 715, 8615, 850, 1696, 620, 269, 476, 723, 4080, 602, 476, 271, 269, 3374, 6515, 11098, 540, 7601, 666, 581, 1031, 538, 14806, 22000, 1510, 1713, 1764, 593, 519, 3239, 2298, 267, 543, 1210, 476, 271, 269, 3374, 6515, 19923, 7132, 476, 272, 6515, 1325, 3606, 19288, 28933, 519, 4334, 676, 476, 10170, 260, 5786, 538, 2627, 2011, 918, 1069, 320, 563, 763, 7687, 540, 938, 1382, 616, 602, 1152, 835, 18261, 540, 14806, 8113, 8554, 543, 513, 1507, 5542, 540, 3631, 941, 2139, 585, 891, 4255, 269, 8892, 960, 786, 1331, 693, 2547, 1079, 811, 14806, 22000, 14273, 543, 1896, 824, 3631, 547, 6218, 519, 19288, 3310, 593, 3239, 2298, 269, 3414, 513, 2773, 1449, 609, 513, 2241, 3461, 25668, 20884, 943, 656, 558, 267, 519, 2298, 1852, 7355, 666, 581, 2417, 8947, 547, 1374, 513, 3982, 14806, 24005, 8552, 3842, 3309, 610, 1950, 12086, 563, 1103, 1249, 267, 3063, 19288, 814, 519, 1761, 547, 1689, 519, 2473, 11920, 8552, 267, 799, 1419, 6770, 2640, 538, 2474, 540, 3461, 9570, 543, 3239, 2298, 269, 898, 568, 5227, 547, 946, 519, 6512, 1780, 6882, 547, 3489, 1164, 2298, 2592, 267, 799, 1058, 581, 5462, 676, 519, 22887, 6672, 12632, 540, 519, 1114, 2326, 269, 634, 960, 1858, 538, 2234, 5735, 267, 519, 2473, 11920, 8552, 8445, 267, 543, 519, 10338, 6316, 616, 519, 1034, 1271, 2188, 538, 6882, 5542, 269, 1280, 1655, 4093, 267, 2810, 519, 6882, 11098, 849, 3340, 9870, 519, 544, 2026, 610, 4598, 942, 269, 5221, 519, 8552, 8445, 568, 693, 476, 6434, 1183, 309, 267, 9001, 519, 1291, 6882, 5932, 513, 7522, 8552, 547, 3986, 519, 3239, 2298, 543, 6175, 519, 12842, 3461, 9570, 269, 1306, 519, 2333, 538, 11098, 2164, 538, 2298, 12159, 267, 519, 544, 2026, 616, 6659, 607, 1454, 607, 2009, 547, 3489, 513, 1164, 2298, 3239, 269, 634, 2164, 540, 6901, 267, 13502, 543, 9273, 4951, 602, 1291, 19169, 693, 476, 1911, 737, 309, 335, 666, 24390, 519, 8546, 3977, 9570, 543, 513, 5818, 538, 544, 288, 666, 3986, 519, 3239, 2298, 1247, 519, 9570, 568, 1869, 2539, 982, 602, 540, 519, 4652, 2830, 1229, 3236, 269, 1635, 16495, 540, 519, 4093, 267, 519, 476, 271, 269, 272, 6515, 5394, 1291, 6882, 729, 9053, 607, 519, 6099, 6882, 563, 299, 4752, 5797, 681, 267, 6931, 631, 267, 681, 7776, 623, 267, 13225, 698, 520, 715, 267, 3143, 867, 14833, 2131, 715, 267, 681, 3385, 22088, 589, 267, 2349, 6359, 323, 808, 267, 717, 525, 577, 13388, 808, 293, 630, 1001, 273, 264, 24951, 519, 3713, 1464, 540, 14817, 334, 14978, 26217, 676, 595, 268, 1301, 12242, 25686, 13409, 15515, 600, 17223, 29821, 1282, 646, 31154, 12091, 25086, 609, 6671, 4334, 10276, 327, 2331, 6419, 16982, 9196, 269, 9315, 328, 990, 2444, 3955, 1203, 7101, 2723, 476, 3374, 281, 9032, 1700, 10441, 269, 4179, 2517, 8742, 3820, 270, 1015, 269, 1911, 278, 4882, 16573, 3583, 268, 18733, 268, 18733, 279, 14870, 454, 307, 27895, 714, 1228, 327, 5548, 16223, 748, 327, 595, 267, 3057, 537, 25206, 715, 267, 661, 3630, 29538, 328, 28635, 600, 329, 8643, 594, 267, 10787, 1695, 332, 663, 674, 267, 1744, 752, 14873, 2784, 589, 267, 670, 698, 7315, 328, 670, 630, 1001, 275, 264, 25674, 6476, 540, 10126, 776, 1085, 777, 592, 2129, 636, 1968, 11733, 1063, 9845, 609, 543, 1510, 791, 16636, 618, 6794, 269, 9459, 808, 7101, 2723, 476, 1556, 263, 273, 2567, 324, 16825, 2641, 269, 4179, 2517, 8742, 3820, 270, 1015, 269, 6812, 272, 273, 270, 597, 534, 329, 2784, 2723, 269, 16825, 2641, 454, 298, 1002, 9564, 589, 267, 19966, 724, 328, 590, 267, 9040, 2801, 328, 570, 630, 1001, 280, 264, 28518, 519, 2773, 540, 1114, 8760, 2409, 593, 2564, 2473, 11920, 2592, 269, 19301, 10331, 2233, 476, 272, 281, 12893, 275, 269, 4179, 2517, 8742, 3820, 270, 1015, 269, 1911, 278, 4882, 275, 2190, 7367, 268, 25171, 268, 14056, 275, 268, 271, 454, 289, 528, 537, 329, 523, 328, 674, 313, 267, 31670, 3901, 681, 310, 10498, 267, 18771, 777, 3873, 715, 267, 10500, 754, 5674, 700, 306, 267, 631, 2532, 517, 744, 630, 1001, 272, 264, 4201, 11703, 5542, 540, 3355, 2798, 585, 30405, 6077, 16439, 538, 14806, 25646, 2592, 269, 4347, 2233, 808, 476, 8618, 263, 276, 2567, 4510, 274, 1700, 26493, 454, 2026, 326, 926, 589, 267, 12891, 3233, 631, 267, 590, 1046, 327, 9655, 700, 267, 918, 4243, 327, 21355, 589, 267, 1744, 758, 3757, 328, 623, 630, 1001, 280, 264, 10318, 1588, 540, 717, 10397, 31396, 779, 23363, 2188, 585, 3067, 2787, 540, 10368, 2234, 542, 16090, 1938, 538, 21800, 22502, 543, 22887, 6672, 15494, 269, 4354, 337, 30521, 2684, 1301, 476, 1321, 263, 272, 2567, 3066, 1700, 4375, 269, 4179, 2517, 8742, 3820, 270, 1015, 269, 24241, 275, 270, 6942, 4510, 278, 6200, 14917, 277, 1240, 6021, 272, 30156, 276, 2420, 273, 454, 306, 822, 732, 327, 22601, 267, 19759, 520, 962, 267, 645, 1662, 21105, 589, 267, 20961, 328, 631, 267, 5096, 541, 573, 565, 520, 629, 14508, 715, 630, 1001, 278, 264, 634, 1374, 543, 6388, 540, 519, 3301, 9477, 17818, 543, 561, 29856, 31175, 538, 11983, 14806, 22000, 2592, 269, 8892, 2233, 29314, 476, 274, 263, 275, 2567, 12396, 302, 13301, 269, 4179, 2517, 8742, 3820, 270, 1015, 269, 25870, 276, 11721, 810, 320, 268, 1001, 278, 268, 25484, 280, 454, 298, 4243, 327, 21355, 589, 630, 1001, 279, 264, 24665, 1807, 2861, 2409, 538, 5925, 2173, 1468, 476, 4200, 27770, 270, 4200, 332, 307, 322, 2504, 8925, 676, 1395, 974, 1286, 5979, 1505, 281, 519, 3621, 7721, 6244, 1304, 9270, 538, 6046, 4915, 269, 808, 5564, 4593, 1446, 7844, 476, 1015, 281, 4350, 1822, 272, 269, 4179, 2517, 8742, 3820, 270, 1015, 269, 14625, 273, 13478, 11260, 7597, 278, 4391, 272, 280, 1789, 9826, 277, 454, 307, 537, 325, 534, 631, 267, 623, 2227, 325, 330, 926, 700, 267, 715, 14575, 27020, 630, 1001, 278, 264, 9406, 5887, 14152, 31432, 566, 607, 513, 28658, 540, 14806, 22000, 28621, 3660, 829, 545, 31651, 12510, 8412, 269, 4860, 5800, 9315, 2723, 476, 3607, 263, 277, 2567, 5325, 280, 1700, 21878, 269, 4179, 2517, 8742, 3820, 270, 1015, 269, 6200, 277, 10768, 269, 10517, 322, 269, 1001, 277, 269, 4962, 269, 25320, 454, 297, 531, 8932, 631, 267, 10787, 1695, 332, 663, 674, 267, 631, 748, 822, 328, 15382, 267, 30110, 652, 534, 3873, 14408, 267, 1234, 345, 2801, 1014, 570, 267, 1744, 597, 7079, 328, 645, 709, 329, 523, 328, 590, 267, 31670, 2998, 345, 541, 631, 267, 10507, 325, 663, 3511, 335, 712, 674, 630, 1001, 276, 264, 12071, 528, 25646, 2079, 540, 512, 756, 658, 8144, 538, 18751, 2267, 857, 622, 30301, 13676, 19704, 609, 543, 1510, 2909, 1424, 1282, 4464, 561, 25128, 269, 9459, 808, 7101, 2723, 476, 1321, 263, 274, 2567, 324, 9965, 3953, 269, 4179, 2517, 8742, 3820, 270, 1015, 269, 6812, 272, 273, 270, 597, 534, 329, 2784, 2723, 269, 9965, 3953, 341, 273, 454, 31549, 1335, 328, 631, 267, 631, 1993, 2784, 631, 298, 267, 15011, 1690, 518, 8643, 14408, 267, 20673, 655, 328, 15382, 267, 7101, 701, 344, 645, 267, 2098, 8932, 589, 630, 1001, 276, 264, 26277, 13929, 2095, 4806, 540, 4334, 538, 561, 29856, 8623, 1116, 2230, 281, 513, 1480, 1353, 609, 513, 4571, 1467, 5288, 269, 8934, 698, 527, 2145, 954, 331, 3133, 541, 1935, 896, 14806, 22000, 269, 10266, 4284, 6509, 476, 1240, 263, 275, 2567, 28766, 1700, 27844, 454, 300, 582, 773, 328, 6441, 836, 9613, 328, 681, 267, 590, 1228, 724, 1014, 670, 630, 1001, 276, 264, 10495, 540, 7895, 1834, 17684, 13307, 6111, 538, 5247, 659, 565, 3518, 657, 659, 1537, 12636, 1210, 1863, 8518, 4480, 29211, 676, 14694, 14806, 22000, 281, 2164, 540, 2022, 10869, 17223, 29821, 538, 476, 14625, 2550, 269, 1975, 710, 808, 476, 1428, 263, 275, 2567, 10384, 1700, 3583, 275, 269, 4179, 2517, 8742, 3820, 270, 1015, 269, 6200, 277, 10768, 4732, 18090, 324, 269, 1001, 275, 269, 1321, 269, 23713, 454, 301, 629, 760, 712, 23404, 267, 918, 4243, 327, 21355, 589, 630, 1001, 279, 264, 15190, 18122, 543, 17306, 19202, 18785, 1239, 896, 2473, 543, 29339, 22726, 1210, 3239, 4393, 4480, 269, 808, 2405, 24919, 7101, 9332, 2233, 476, 5392, 263, 273, 2567, 3707, 1700, 1220, 269, 4179, 2517, 8742, 3820, 270, 1015, 269, 6200, 277, 10768, 12459, 18029, 269, 1001, 279, 269, 4905, 269, 21916, 454, 298, 4243, 327, 21355, 589, 267, 12891, 3233, 631, 267, 670, 657, 572, 7236, 15562, 267, 14076, 320, 2465, 589, 630, 1001, 273, 264, 16214, 540, 2458, 574, 2209, 685, 3210, 281, 5180, 543, 15279, 21192, 9475, 538, 6252, 543, 10178, 11237, 269, 4273, 4437, 19398, 20703, 22776, 476, 11820, 263, 274, 2567, 6795, 1700, 5780, 269, 4179, 2517, 8742, 3820, 270, 1015, 269, 6200, 277, 10768, 4877, 6798, 558, 565, 321, 1470, 269, 1001, 273, 269, 6734, 269, 19740, 454, 298, 4243, 327, 21355, 589, 267, 12891, 3233, 631, 630, 1001, 275, 264, 3525, 1637, 4483, 1599, 4879, 538, 6252, 11237, 543, 10178, 11237, 2458, 574, 2209, 609, 4009, 543, 20425, 9475, 269, 7788, 715, 16090, 2405, 476, 2764, 263, 275, 2567, 3607, 274, 1700, 24907, 269, 4179, 2517, 8742, 3820, 270, 1015, 269, 1911, 278, 4882, 13199, 5392, 268, 26522, 268, 5400, 273, 271, 268, 273, 454, 298, 4243, 327, 21355, 589, 267, 12891, 3233, 631, 267, 670, 657, 572, 7236, 15562, 267, 14076, 320, 2465, 589, 630, 1001, 273, 264, 6480, 11582, 540, 10178, 11237, 543, 6252, 11237, 6724, 538, 513, 5911, 17450, 1374, 269, 808, 715, 16090, 2405, 3353, 565, 476, 2412, 263, 272, 2567, 4391, 1700, 6246, 269, 4179, 2517, 8742, 3820, 270, 1015, 269, 30640, 278, 10768, 333, 31198, 269, 9340, 269, 5400, 280, 3445, 275, 454, 298, 4243, 327, 21355, 589, 630, 1001, 280, 264, 30521, 12950, 6724, 540, 544, 8432, 321, 6577, 636, 268, 4200, 18993, 16615, 538, 7814, 582, 1258, 2861, 2504, 1505, 1210, 513, 23377, 1437, 1807, 1374, 585, 6046, 2173, 14037, 710, 6663, 269, 20195, 4284, 808, 9578, 476, 16328, 281, 27149, 269, 4179, 2517, 8742, 3820, 270, 1015, 269, 14625, 271, 270, 788, 329, 335, 270, 328, 1001, 280, 268, 10219, 6924, 268, 274, 454, 299, 525, 577, 6390, 590, 267, 853, 565, 345, 10458, 623, 267, 13391, 636, 6686, 28705, 590, 267, 2480, 515, 742, 601, 670, 267, 2677, 321, 2723, 956, 700, 267, 5576, 13232, 645, 267, 3057, 1550, 330, 645, 267, 1325, 330, 611, 6062, 670, 267, 5450, 7879, 623, 630, 1001 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 4289, 17342, 1015, 267, 280, 267, 279, 267, 278, 267, 277, 267, 276, 2639, 2745, 17338, 994, 2745, 17338, 314, 271, 7481, 2745, 17338, 314, 276, 7481, 4289, 314, 273, 24557, 1556, 3248, 2745, 17338, 994, 2745, 17338, 314, 274, 281, 277, 20285, 0, 534, 7769, 28121, 257, 821, 9899, 257, 339, 9528, 14824, 18314, 9899, 257, 331, 542, 14824, 22764, 9899, 257, 27594, 14824, 27917, 9899, 257, 13906, 257, 8679, 2745, 263, 6943, 263, 534, 7769, 4917, 2745, 2891, 2745, 532, 519, 2831, 1239, 5602, 2745, 263, 534, 7769, 994, 2745, 2891, 10938, 519, 3877, 540, 1007, 2831, 5602, 534, 7769, 14277, 821, 19312, 14352, 6358, 2891, 821, 281, 27363, 534, 7769, 14277, 18314, 19312, 14352, 6358, 2891, 18314, 281, 27363, 534, 7769, 14277, 22764, 19312, 14352, 6358, 2891, 22764, 281, 27363, 534, 7769, 14277, 27917, 19312, 14352, 6358, 2891, 27917, 281, 8442, 2020, 692, 0, 1598, 6889, 6062, 4840, 1598, 272, 6889, 31435, 4840, 2745, 19304, 266, 1598, 272, 994, 2745, 19304, 265, 274, 994, 2745, 19304, 272, 265, 273, 264, 0, 258, 26244, 2478, 9868, 1759, 593, 1870, 3652, 7396, 538, 3593, 2984, 454, 5035, 11352, 318, 19587, 263, 2750, 4003, 2187, 825, 1219, 6449, 8181, 9191, 1345, 267, 6075, 267, 1292, 338, 267, 5011, 267, 10425, 267, 20444, 326, 22561, 2187, 1038, 952, 20444, 326, 2652, 7183, 912, 2018, 1820, 2891, 13286, 609, 11352, 32405, 1038, 1582, 269, 916, 326, 815, 20444, 326, 454, 1038, 1582, 6983, 2396, 518, 815, 6075, 454, 1038, 1582, 6230, 1622, 815, 1292, 338, 454, 1038, 1582, 4732, 1938, 815, 5011, 454, 1038, 1582, 6155, 337, 3855, 815, 10425, 692, 825, 1219, 6449, 1598, 9191, 1345, 2187, 1038, 2132, 1582, 269, 916, 326, 7531, 258, 5417, 8631, 827, 6221, 25292, 454, 3698, 2638, 318, 4650, 318, 19587, 6262, 2396, 518, 267, 1292, 338, 267, 5011, 267, 10425, 2187, 825, 5470, 815, 11713, 825, 2119, 912, 1038, 952, 711, 6075, 543, 711, 1292, 338, 543, 711, 5011, 543, 711, 10425, 912, 2018, 6318, 11352, 318, 19587, 6262, 2396, 518, 267, 1292, 338, 267, 5011, 267, 10425, 2676, 4449, 23526, 834, 5591, 3403, 910, 2119, 1586, 5602, 825, 4849, 11352, 318, 19587, 607, 522, 324, 912, 1038, 5470, 6910, 263, 4141, 2020, 825, 2119, 912, 1038, 952, 711, 1292, 338, 543, 711, 5011, 543, 711, 10425, 912, 2018, 6318, 11352, 318, 19587, 6262, 2396, 518, 267, 1292, 338, 267, 5011, 267, 10425, 2676, 4449, 23526, 834, 2791, 3112, 1118, 606, 1931, 609, 1100, 3688, 5602, 825, 4849, 11352, 318, 19587, 607, 522, 324, 912, 1038, 5470, 6910, 263, 4141, 2020, 825, 2119, 912, 1038, 952, 711, 568, 27349, 6262, 2396, 518, 267, 1193, 264, 610, 6075, 2652, 1412, 12466, 2018, 6318, 11352, 318, 19587, 6262, 2396, 518, 267, 1292, 338, 267, 5011, 267, 10425, 2676, 4449, 23526, 834, 2791, 1590, 3403, 513, 4570, 2012, 5602, 825, 4849, 11352, 318, 19587, 607, 522, 324, 912, 1038, 5470, 6910, 263, 4141, 994, 825, 2132, 5470, 454, 0, 5814, 14854, 454, 5228, 4351, 1104, 27661, 1721, 1535, 538, 2039, 263, 272, 267, 277, 2187, 453, 339, 31103, 8807, 650, 10233, 2891, 19990, 5602, 453, 339, 31103, 269, 8218, 6958, 650, 4590, 453, 339, 31103, 4877, 523, 1575, 4590, 453, 339, 31103, 15630, 6570, 9230, 343, 265, 3374, 9984, 1911, 267, 263, 343, 265, 3374, 9984, 1911, 994, 453, 339, 31103, 4877, 754, 1144, 4590, 453, 339, 31103, 269, 10233, 263, 8681, 842, 263, 271, 267, 14838, 1070, 8681, 842, 263, 271, 267, 14838, 1070, 8681, 842, 263, 271, 267, 14838, 4917, 453, 15132, 548, 284, 339, 31103, 6983, 22511, 263, 1839, 994, 453, 339, 31103, 269, 754, 6958, 650, 4590, 28768, 0, 258, 338, 333, 820, 543, 21117, 3014, 454, 5814, 4351, 454, 12248, 284, 271, 454, 6112, 6262, 870, 27045, 1911, 2187, 453, 333, 284, 6358, 2891, 10938, 678, 547, 5066, 519, 18062, 5602, 14851, 3799, 2525, 262, 337, 262, 2187, 453, 453, 320, 284, 12690, 27110, 263, 272, 267, 277, 994, 453, 453, 12248, 284, 12248, 266, 320, 454, 453, 13537, 2891, 3240, 27082, 514, 2580, 12248, 994, 453, 13537, 2891, 20365, 4351, 1871, 2580, 320, 994, 14851, 6262, 870, 2525, 279, 2187, 453, 453, 12248, 284, 4391, 454, 453, 13537, 2891, 327, 25744, 21117, 5602, 453, 19197, 6262, 870, 2525, 1556, 2187, 453, 453, 12248, 284, 273, 454, 453, 13537, 2891, 334, 3591, 256, 922, 513, 13131, 11116, 5602, 453, 19197, 6262, 870, 2525, 1321, 2187, 453, 453, 12248, 284, 4097, 454, 453, 13537, 2891, 327, 25744, 21117, 5602, 453, 19197, 6262, 870, 2525, 1839, 2187, 453, 453, 12248, 284, 275, 454, 453, 13537, 2891, 334, 3591, 256, 922, 513, 13131, 11116, 5602, 453, 19197, 6262, 870, 2525, 4343, 2187, 453, 453, 12248, 284, 280, 454, 453, 13537, 2891, 334, 3591, 256, 922, 513, 13131, 11116, 5602, 453, 19197, 6262, 870, 2525, 2412, 2187, 453, 453, 12248, 284, 6924, 454, 453, 13537, 2891, 327, 25744, 21117, 5602, 453, 19197, 6262, 870, 2525, 7367, 2187, 453, 453, 12248, 284, 10037, 454, 453, 13537, 2891, 327, 25744, 21117, 5602, 453, 19197, 6262, 870, 2525, 4792, 2187, 453, 453, 12248, 284, 5379, 454, 453, 13537, 2891, 334, 3591, 256, 922, 513, 13131, 11116, 5602, 453, 19197, 6262, 870, 2525, 10602, 2187, 453, 453, 12248, 284, 9032, 454, 453, 13537, 2891, 327, 25744, 21117, 5602, 453, 19197, 6262, 870, 2525, 8660, 2187, 453, 453, 12248, 284, 3583, 454, 453, 13537, 2891, 334, 3591, 256, 922, 513, 13131, 11116, 8442, 28768, 453, 19197, 6262, 870, 2525, 11152, 2187, 453, 453, 12248, 284, 5038, 454, 453, 13537, 2891, 334, 3591, 256, 922, 513, 13131, 11116, 5602, 453, 19197, 6262, 870, 285, 1911, 2187, 453, 453, 12248, 284, 12248, 8584, 454, 453, 13537, 2891, 340, 18085, 979, 3564, 476, 1911, 8442, 28768, 453, 19197, 6262, 870, 2525, 1911, 2187, 453, 13537, 2891, 322, 784, 334, 256, 579, 4465, 519, 3014, 5602, 453, 453, 19874, 28768, 453, 453, 5495, 9143, 7473, 454, 453, 10938, 678, 547, 5066, 519, 546, 545, 518, 454, 3240, 27082, 514, 476, 273, 454, 20365, 4351, 1871, 476, 273, 454, 10938, 678, 547, 5066, 519, 546, 545, 518, 454, 3240, 27082, 514, 476, 275, 454, 20365, 4351, 1871, 476, 273, 454, 10938, 678, 547, 5066, 519, 546, 545, 518, 454, 3240, 27082, 514, 476, 278, 454, 20365, 4351, 1871, 476, 274, 454, 10938, 678, 547, 5066, 519, 546, 545, 518, 454, 3240, 27082, 514, 476, 1321, 454, 20365, 4351, 1871, 476, 276, 454, 327, 25744, 21117, 454, 10938, 678, 547, 5066, 519, 546, 545, 518, 454, 3240, 27082, 514, 476, 2412, 454, 20365, 4351, 1871, 476, 277, 454, 327, 25744, 21117, 454, 10938, 678, 547, 5066, 519, 546, 545, 518, 454, 3240, 27082, 514, 476, 3583, 454, 20365, 4351, 1871, 476, 273, 454, 10938, 678, 547, 5066, 519, 546, 545, 518, 454, 3240, 27082, 514, 476, 10602, 454, 20365, 4351, 1871, 476, 277, 454, 327, 25744, 21117, 454, 10938, 678, 547, 5066, 519, 546, 545, 518, 454, 3240, 27082, 514, 476, 1911, 454, 20365, 4351, 1871, 476, 274, 454, 322, 784, 334, 256, 579, 4465, 519, 3014, 454, 28768, 0, 5814, 4351, 454, 5814, 942, 454, 5814, 8142, 7531, 258, 11619, 4526, 3490, 1362, 799, 2488, 2596, 20261, 6703, 13872, 5035, 11619, 4526, 912, 258, 825, 1219, 6449, 8181, 9191, 1345, 2187, 825, 1219, 6494, 4311, 267, 5048, 2187, 1038, 1820, 834, 300, 612, 4526, 15920, 281, 27029, 1038, 1820, 5048, 692, 258, 5581, 513, 2241, 1362, 547, 2099, 513, 2582, 5311, 454, 5035, 25627, 912, 825, 1219, 6449, 8181, 9191, 1345, 267, 3190, 4526, 815, 11619, 4526, 19572, 8756, 815, 476, 271, 2187, 1038, 1948, 3355, 1047, 519, 1509, 677, 454, 1038, 1582, 6230, 25514, 815, 20886, 12690, 20179, 3890, 316, 585, 1775, 538, 2039, 263, 3953, 22708, 1038, 1582, 269, 2452, 28747, 815, 476, 279, 454, 1038, 1582, 14714, 788, 815, 476, 271, 454, 1038, 1948, 875, 1082, 24217, 1354, 649, 1900, 888, 1038, 1582, 6745, 1157, 30648, 318, 3721, 815, 476, 272, 454, 1038, 1582, 269, 4134, 12574, 815, 8771, 454, 1038, 1582, 6745, 1157, 18045, 815, 476, 271, 454, 1038, 1582, 6230, 612, 4526, 815, 3190, 4526, 454, 1038, 1582, 26716, 14128, 815, 8756, 454, 825, 1948, 1289, 713, 950, 519, 9219, 24217, 454, 825, 1219, 8743, 4311, 2187, 1038, 1948, 2745, 834, 339, 1157, 4840, 1038, 952, 1582, 6745, 1157, 18045, 2652, 476, 271, 912, 2018, 1948, 2745, 834, 21163, 4840, 2018, 1582, 269, 2452, 14067, 788, 4311, 14714, 788, 994, 2018, 1582, 14714, 788, 815, 630, 1345, 14714, 788, 1341, 476, 272, 264, 4939, 1582, 269, 2452, 28747, 3097, 1038, 1582, 6745, 1157, 18045, 815, 630, 1345, 6745, 1157, 18045, 1341, 476, 272, 264, 4939, 1582, 6745, 1157, 30648, 318, 3721, 454, 825, 1948, 1224, 519, 3965, 693, 1582, 14714, 788, 543, 2490, 621, 883, 513, 5048, 454, 825, 1219, 1404, 14067, 788, 4311, 267, 1900, 2187, 1038, 1582, 6230, 612, 4526, 4732, 754, 20719, 257, 577, 14128, 9899, 1345, 26716, 14128, 267, 834, 21163, 9899, 1345, 14714, 788, 267, 834, 1998, 9899, 1345, 6230, 25514, 314, 21163, 316, 348, 994, 825, 1219, 1205, 8548, 25514, 4311, 2187, 1038, 2132, 1582, 6230, 25514, 454, 11434, 454, 5035, 1849, 1442, 912, 825, 1219, 6449, 8181, 9191, 1345, 2187, 1038, 1582, 12500, 10975, 263, 9873, 994, 1038, 1582, 269, 4289, 22211, 815, 11713, 1038, 1582, 16096, 4671, 1157, 815, 942, 28333, 4590, 13872, 825, 1219, 1376, 4311, 2187, 1038, 1820, 834, 5141, 1442, 15311, 11034, 4840, 1038, 8142, 269, 11034, 318, 2908, 318, 628, 1348, 4311, 269, 14725, 267, 630, 11723, 825, 1219, 2196, 4311, 2187, 1038, 1293, 815, 476, 271, 454, 1038, 1247, 1293, 2999, 476, 1911, 912, 2018, 1582, 6745, 1157, 4590, 2018, 942, 4732, 2748, 4311, 6745, 1157, 28747, 994, 2018, 1293, 6834, 476, 272, 692, 825, 1219, 3247, 4311, 2187, 1038, 1820, 834, 5141, 1442, 15311, 17380, 5016, 825, 1219, 8743, 4311, 2187, 453, 10472, 4671, 1157, 815, 942, 28333, 4590, 13872, 1038, 1820, 834, 5141, 1442, 15311, 339, 1157, 886, 281, 834, 266, 1598, 263, 10472, 4671, 1157, 910, 1582, 16096, 4671, 1157, 994, 1038, 1582, 16096, 4671, 1157, 815, 713, 4671, 1157, 3097, 1038, 585, 26575, 538, 1582, 269, 4289, 22211, 912, 2018, 1820, 834, 339, 10107, 513, 26575, 4840, 2018, 26575, 6745, 1157, 10797, 825, 1219, 536, 10975, 4311, 267, 536, 10975, 2187, 1038, 1948, 476, 275, 24217, 513, 10726, 454, 1038, 1582, 6745, 1157, 28747, 815, 476, 2568, 269, 271, 11486, 10975, 1315, 476, 275, 28329, 825, 1948, 1039, 1945, 602, 6499, 547, 917, 950, 519, 9219, 24217, 8931, 825, 1219, 1039, 8266, 10273, 4311, 267, 26575, 2187, 1038, 1582, 269, 4289, 22211, 6910, 17338, 10273, 994, 8931, 572, 336, 815, 25627, 4590, 22018, 815, 1849, 1442, 4590, 22018, 14491, 8266, 10273, 263, 572, 336, 994, 22018, 269, 11034, 10797, 6112, 476, 272, 912, 567, 1780, 454, 0, 18851, 1477, 17572, 281, 533, 784, 18258, 1477, 24314, 8191, 281, 5696, 269, 8738, 2023, 1477, 5327, 11220, 547, 581, 6192, 676, 1866, 1477, 1607, 1982, 28352, 513, 5187, 2065, 4528, 540, 519, 1477, 5035, 545, 623, 784, 9095, 1228, 3014, 23228, 18851, 1477, 5814, 9095, 1228, 1477, 5814, 4351, 5897, 258, 1452, 616, 6820, 21635, 547, 946, 2429, 519, 3014, 1477, 17092, 3918, 2894, 318, 310, 2839, 8025, 815, 476, 7785, 1477, 17092, 3918, 2894, 318, 4047, 20846, 815, 476, 4968, 1477, 289, 17920, 318, 305, 4696, 296, 4785, 815, 476, 1015, 5897, 303, 4696, 291, 4041, 318, 310, 2839, 8025, 815, 476, 1015, 1477, 303, 4696, 291, 4041, 318, 4047, 20846, 815, 476, 2004, 1477, 300, 10976, 292, 318, 4456, 5495, 18199, 815, 476, 1015, 5897, 17092, 16800, 318, 310, 2562, 815, 476, 272, 1477, 17092, 16800, 318, 299, 8379, 3951, 815, 476, 1428, 5897, 258, 8672, 1362, 5897, 5035, 8672, 6769, 825, 1219, 6449, 8181, 9191, 1345, 8029, 1038, 1948, 1305, 519, 1448, 540, 1535, 11971, 1477, 1038, 1582, 11859, 815, 10581, 263, 271, 3418, 1038, 1582, 13885, 815, 10581, 263, 271, 10142, 258, 20653, 6290, 1362, 5897, 5035, 20653, 6290, 6769, 825, 1219, 6449, 8181, 9191, 1345, 8029, 1038, 1948, 1305, 519, 3432, 540, 1535, 11971, 1689, 1477, 1038, 1582, 6155, 343, 815, 10581, 263, 271, 3418, 1038, 1582, 6155, 344, 815, 10581, 263, 271, 3418, 1363, 1477, 258, 623, 18150, 1362, 281, 5897, 5035, 623, 18150, 6769, 825, 1219, 6449, 8181, 9191, 1345, 267, 4099, 8029, 1038, 1582, 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 ]
[ 0, 18257, 10521, 6517, 630, 311, 543, 962, 264, 4734, 538, 519, 1482, 4287, 269, 21506, 763, 1286, 2473, 3762, 609, 513, 3586, 3432, 540, 476, 2568, 5998, 10774, 543, 519, 1286, 962, 3762, 609, 513, 3586, 3432, 540, 476, 3445, 5998, 1315, 554, 269, 5897, 1103, 835, 5662, 630, 2568, 3764, 264, 519, 1286, 962, 666, 1205, 513, 3845, 540, 476, 1789, 12919, 689, 519, 2473, 1286, 267, 21506, 514, 824, 1913, 267, 621, 666, 1205, 2476, 835, 9481, 518, 585, 1142, 476, 273, 3764, 269, 5897, 5649, 519, 3845, 630, 514, 5998, 264, 543, 5173, 875, 1279, 621, 3217, 630, 514, 3764, 264, 585, 519, 1286, 962, 547, 1491, 713, 3845, 538, 6935, 547, 519, 824, 1286, 269, 5897, 19152, 1477, 763, 3403, 3758, 3568, 476, 272, 8870, 1871, 269, 5897, 20479, 1477, 19530, 519, 2556, 942, 4553, 676, 519, 5048, 834, 2381, 583, 657, 257, 602, 1797, 3764, 538, 14082, 269, 18257, 5897, 343, 815, 3403, 31476, 31184, 334, 815, 703, 3287, 264, 2608, 476, 273, 5897, 2745, 6025, 11391, 334, 267, 834, 2381, 583, 657, 8442, 0, 704, 842, 1695, 815, 834, 29177, 332, 655, 592, 2967, 815, 8771, 1477, 6112, 6936, 6769, 825, 829, 842, 1695, 815, 3403, 2891, 285, 834, 1040, 12294, 14052, 825, 952, 829, 842, 1695, 2652, 834, 332, 592, 2967, 257, 6769, 1038, 952, 1509, 592, 2967, 6769, 2018, 1820, 2891, 25284, 22007, 1695, 1019, 329, 531, 1678, 534, 1701, 3418, 1038, 3116, 6769, 2018, 1509, 592, 2967, 815, 6936, 1477, 2018, 1820, 2891, 25284, 3897, 592, 2967, 29389, 3418, 825, 8640, 829, 842, 1695, 2652, 834, 828, 5782, 328, 257, 6769, 1038, 952, 711, 1509, 592, 2967, 6769, 2018, 1820, 2891, 25284, 22007, 1695, 1019, 5782, 1731, 534, 1701, 3418, 1038, 3116, 6769, 2018, 1509, 592, 2967, 815, 8771, 1477, 2018, 1820, 2891, 300, 1263, 5782, 1731, 534, 1982, 29389, 3418, 825, 8640, 829, 842, 1695, 2652, 834, 321, 656, 10224, 257, 6769, 1038, 1820, 2891, 3269, 1477, 332, 592, 2967, 910, 2150, 4157, 1509, 592, 2967, 1982, 1477, 828, 5782, 328, 910, 2150, 4157, 544, 1263, 5782, 1731, 534, 1982, 1477, 30448, 340, 541, 910, 2150, 4157, 737, 601, 340, 541, 546, 926, 1982, 1477, 3269, 14744, 825, 8640, 829, 842, 1695, 2652, 834, 30448, 340, 541, 257, 6769, 1038, 2736, 1477, 825, 3116, 6769, 1038, 1820, 2891, 30538, 2378, 267, 2161, 320, 22619, 752, 533, 1695, 600, 14744, 0, 5035, 26676, 24998, 2187, 825, 8173, 825, 26676, 1362, 780, 825, 16544, 281, 3097, 1038, 910, 8700, 476, 910, 519, 8700, 540, 519, 6928, 563, 1038, 910, 1850, 333, 628, 910, 519, 3259, 540, 519, 6928, 563, 825, 29185, 825, 1219, 6449, 8181, 9191, 1345, 267, 8700, 281, 703, 267, 1850, 333, 628, 281, 703, 2187, 1038, 8173, 1038, 2433, 12407, 8700, 281, 519, 8700, 540, 519, 6928, 454, 1038, 2433, 6943, 8700, 281, 703, 454, 1038, 2433, 12407, 1850, 333, 628, 281, 519, 1850, 333, 628, 540, 519, 6928, 454, 1038, 2433, 6943, 1850, 333, 628, 281, 703, 454, 1038, 8173, 1038, 1582, 9884, 5954, 476, 815, 8700, 454, 1038, 1582, 269, 548, 3913, 628, 815, 1850, 333, 628, 692, 0, 12163, 1607, 9074, 2488, 513, 1259, 14391, 622, 2789, 2798, 269, 1323, 2254, 908, 5931, 454, 732, 6537, 2059, 513, 2582, 630, 3200, 673, 610, 8880, 264, 1899, 269, 1656, 519, 15558, 454, 24992, 5931, 616, 8850, 14661, 865, 602, 789, 798, 711, 7670, 1905, 780, 305, 7342, 713, 4971, 568, 2147, 547, 2608, 534, 2254, 622, 29688, 1280, 1383, 267, 1384, 825, 521, 8217, 815, 22373, 16932, 272, 2580, 834, 16932, 273, 2580, 834, 16932, 274, 31116, 825, 27976, 8217, 815, 27883, 271, 267, 476, 271, 1070, 630, 272, 267, 476, 273, 1070, 630, 273, 267, 476, 272, 22708, 825, 4287, 815, 834, 9008, 5016, 825, 1140, 815, 17887, 318, 534, 2254, 566, 27133, 263, 1314, 267, 4287, 2676, 4449, 23526, 521, 8217, 267, 27976, 8217, 2676, 4449, 23526, 27976, 1723, 3581, 8782, 11907, 22779, 4449, 23526, 1201, 1842, 284, 272, 269, 274, 2676, 4449, 23526, 1201, 1723, 867, 6889, 11907, 4840, 4449, 23526, 25589, 2080, 267, 521, 8217, 568, 513, 1592, 540, 10297, 543, 519, 27976, 8217, 568, 513, 1592, 540, 27976, 454, 21752, 547, 581, 23064, 269, 2608, 15383, 1723, 3581, 265, 814, 1482, 2495, 607, 538, 519, 454, 265, 534, 2254, 622, 265, 543, 621, 513, 18680, 547, 2990, 538, 2608, 15383, 8217, 29688, 634, 2608, 323, 3925, 20330, 30348, 23403, 519, 4287, 540, 23064, 5931, 9497, 9008, 20350, 257, 321, 18847, 2580, 834, 3847, 2580, 610, 834, 2431, 20257, 2608, 10915, 1842, 265, 543, 2608, 10915, 1723, 867, 265, 568, 454, 6570, 543, 11282, 585, 14391, 908, 454, 3667, 338, 269, 9521, 2608, 534, 2254, 622, 24682, 596, 1590, 14574, 513, 2582, 1871, 585, 519, 454, 6570, 269, 1280, 4287, 540, 257, 9008, 257, 543, 834, 321, 18847, 2580, 519, 2608, 10915, 1842, 265, 1797, 586, 1790, 3789, 540, 454, 2335, 13331, 908, 5931, 543, 1535, 1790, 657, 1431, 616, 8850, 5462, 269, 1280, 454, 323, 3925, 540, 834, 3847, 257, 543, 834, 2431, 2580, 519, 2608, 10915, 1842, 265, 1797, 1535, 1790, 3789, 540, 454, 3667, 338, 543, 586, 1790, 657, 1431, 616, 8850, 14661, 563, 20701, 5814, 21267, 6745, 4920, 13257, 607, 544, 10520, 13257, 454, 5228, 21267, 269, 3667, 1104, 1323, 2254, 566, 692, 5228, 1085, 27251, 269, 9953, 4476, 1104, 535, 2381, 6831, 984, 2643, 320, 454, 5814, 11885, 607, 5286, 692, 7531, 3698, 1205, 318, 984, 11187, 318, 6247, 571, 6493, 3287, 272, 267, 15848, 17107, 825, 1948, 7413, 2040, 540, 519, 3845, 4009, 454, 825, 1219, 6662, 3287, 2187, 1038, 2132, 16733, 343, 14870, 272, 264, 1262, 273, 1040, 8999, 10797, 825, 1948, 10148, 454, 825, 10148, 815, 1496, 14433, 1535, 267, 562, 284, 328, 281, 1535, 19559, 266, 272, 316, 910, 1535, 19559, 316, 910, 1547, 276, 16732, 11459, 19559, 316, 1341, 15848, 19559, 266, 272, 8079, 585, 1775, 538, 2039, 12759, 3287, 272, 9984, 272, 264, 6540, 825, 2132, 6662, 267, 10148, 7531, 3698, 11126, 318, 4944, 5217, 3287, 271, 267, 15848, 2187, 825, 1535, 271, 815, 5286, 269, 553, 6783, 3287, 271, 994, 825, 15044, 16229, 815, 5286, 269, 16911, 677, 3287, 271, 2020, 825, 1535, 272, 815, 1535, 271, 314, 338, 9285, 16229, 2639, 825, 15848, 815, 5286, 269, 553, 6783, 5560, 343, 25011, 338, 9285, 16229, 6540, 825, 6662, 267, 10148, 815, 1205, 318, 984, 11187, 318, 6247, 571, 6493, 3287, 272, 267, 15848, 2020, 825, 1535, 272, 318, 9953, 574, 1242, 815, 535, 2381, 6831, 984, 2643, 320, 263, 984, 11187, 267, 1535, 272, 267, 10148, 267, 11002, 334, 754, 284, 272, 324, 268, 278, 2676, 4449, 25639, 28258, 11781, 284, 271, 2020, 825, 1535, 271, 318, 9953, 574, 1242, 815, 5286, 269, 24105, 318, 3697, 3287, 272, 318, 9953, 574, 1242, 994, 825, 1535, 271, 318, 9953, 574, 1242, 314, 338, 9285, 16229, 316, 815, 1535, 272, 318, 9953, 574, 1242, 692, 825, 2132, 1535, 271, 318, 9953, 574, 1242, 7531, 3698, 1449, 318, 9953, 4476, 10031, 825, 804, 325, 4590, 825, 1535, 343, 815, 28219, 263, 1015, 994, 825, 1535, 343, 274, 815, 11126, 318, 4944, 5217, 3287, 343, 267, 1496, 271, 269, 4962, 30297, 6352, 3287, 343, 11723, 825, 4729, 3287, 343, 267, 5286, 25910, 318, 3697, 3287, 343, 1070, 834, 334, 5602, 825, 586, 3916, 8987, 271, 269, 272, 267, 476, 272, 269, 276, 2020, 825, 585, 1535, 272, 267, 1535, 274, 538, 23407, 3287, 343, 267, 1535, 343, 274, 2187, 1038, 14391, 622, 19304, 3287, 272, 1070, 630, 343, 272, 267, 476, 271, 1070, 27976, 3667, 14352, 343, 274, 267, 476, 272, 1070, 27976, 1723, 3581, 8782, 11907, 22779, 4449, 1257, 1723, 3581, 8782, 11907, 22779, 4449, 10047, 284, 3445, 267, 688, 6889, 22487, 2580, 642, 320, 6889, 321, 18847, 20350, 4449, 15561, 2889, 1186, 284, 18743, 263, 5535, 5882, 6889, 268, 20350, 14030, 882, 1842, 14352, 271, 269, 276, 267, 476, 271, 269, 13211, 14030, 1948, 28947, 5882, 6889, 2117, 274, 27363, 14030, 4276, 5882, 6889, 2117, 267, 4120, 288, 284, 17734, 267, 4120, 289, 284, 3445, 267, 1301, 288, 284, 2004, 267, 1301, 289, 284, 2004, 267, 2784, 284, 1015, 8442, 2020, 692, 5035, 4347, 5435, 3519, 3825, 306, 1399, 548, 293, 15635, 24998, 2187, 825, 1219, 6449, 8181, 9191, 1345, 267, 6186, 288, 284, 736, 267, 2234, 284, 274, 267, 14950, 22561, 2187, 1038, 1582, 269, 2784, 815, 2234, 454, 1038, 1582, 269, 1301, 288, 815, 6186, 288, 454, 1038, 1582, 4877, 611, 815, 14950, 692, 825, 1219, 6449, 322, 718, 9191, 1345, 267, 23935, 1125, 18425, 7272, 31242, 267, 5086, 288, 267, 5086, 289, 267, 10085, 2187, 1038, 2234, 267, 6186, 288, 815, 1582, 269, 2784, 267, 1582, 269, 1301, 288, 454, 1038, 952, 1582, 4877, 611, 568, 7183, 912, 2018, 14950, 815, 2234, 265, 273, 454, 1038, 3116, 912, 2018, 14950, 815, 1582, 4877, 611, 454, 1038, 4276, 5882, 815, 834, 2117, 4840, 1038, 4276, 5882, 318, 3430, 337, 815, 9598, 263, 4120, 288, 284, 4120, 288, 267, 4120, 289, 284, 4120, 289, 2676, 4449, 7386, 6186, 288, 284, 1301, 288, 267, 1301, 289, 284, 11276, 268, 1301, 288, 1790, 611, 267, 2784, 284, 2784, 2020, 1038, 2132, 4276, 5882, 267, 4276, 5882, 318, 3430, 337, 7531, 5035, 1323, 2254, 566, 13729, 263, 2304, 2254, 566, 17107, 825, 9041, 29239, 28767, 815, 9598, 263, 3847, 284, 18743, 263, 18853, 311, 284, 271, 267, 688, 6889, 2431, 2580, 642, 320, 6889, 22487, 20350, 14030, 672, 882, 1842, 14352, 272, 1421, 476, 271, 269, 276, 1070, 5086, 288, 4120, 289, 14352, 271, 267, 476, 5197, 1070, 4232, 284, 271, 13211, 4449, 19930, 1318, 284, 18743, 263, 18853, 311, 284, 271, 267, 688, 6889, 3847, 2580, 642, 320, 6889, 22487, 20350, 14030, 8587, 882, 1842, 14352, 271, 1421, 476, 271, 269, 276, 1070, 5086, 288, 4120, 289, 14352, 5197, 267, 476, 271, 1070, 4232, 284, 271, 13211, 4449, 19930, 5377, 284, 18743, 263, 18853, 311, 284, 272, 267, 688, 6889, 22487, 2580, 642, 320, 6889, 9008, 20350, 14030, 11434, 882, 1842, 14352, 271, 269, 276, 267, 476, 272, 13776, 5086, 288, 4120, 289, 14352, 3445, 267, 476, 17734, 1070, 4232, 284, 17734, 13211, 4449, 19930, 1283, 284, 18743, 263, 18853, 311, 284, 272, 267, 688, 6889, 22487, 2580, 642, 320, 6889, 321, 18847, 20350, 4449, 7386, 882, 1842, 14352, 271, 269, 276, 267, 476, 271, 13776, 5086, 288, 4120, 289, 14352, 17734, 267, 476, 3445, 1070, 4232, 284, 3445, 13211, 4449, 19930, 25589, 825, 1219, 6449, 8181, 9191, 1345, 267, 4287, 2676, 4449, 521, 8217, 267, 27976, 8217, 2676, 4449, 1201, 1842, 2676, 4449, 27976, 1723, 3581, 8782, 11907, 22779, 4449, 1201, 1723, 867, 8782, 11907, 22779, 4449, 15561, 2889, 1186, 22561, 2676, 4449, 14391, 566, 318, 743, 760, 22561, 2676, 4449, 14950, 284, 271, 269, 1428, 2676, 4449, 15649, 22561, 2676, 4449, 4276, 318, 5882, 6958, 15635, 284, 9377, 5435, 3519, 3825, 306, 1399, 548, 293, 15635, 263, 13211, 4449, 2878, 29220, 16911, 17107, 454, 1038, 952, 4287, 711, 538, 1582, 11519, 29239, 28767, 269, 12399, 10031, 2018, 6318, 28759, 2891, 323, 3925, 1590, 581, 835, 540, 4939, 338, 257, 1341, 834, 2437, 269, 21860, 4311, 11519, 29239, 28767, 269, 12399, 3890, 11723, 1038, 1582, 11519, 323, 3925, 815, 4287, 454, 1038, 9949, 28767, 284, 1345, 11519, 29239, 28767, 314, 323, 3925, 6540, 1038, 28960, 311, 815, 9949, 28767, 14277, 18853, 311, 257, 6540, 1038, 952, 711, 9497, 9366, 257, 538, 737, 342, 16911, 610, 834, 3200, 673, 7955, 618, 257, 538, 737, 342, 16911, 2187, 2018, 737, 342, 16911, 14277, 9366, 19312, 815, 9949, 28767, 14277, 9366, 257, 6540, 1038, 952, 711, 9497, 3873, 257, 538, 737, 342, 16911, 610, 834, 1817, 714, 7267, 7955, 618, 257, 538, 737, 342, 16911, 2187, 2018, 737, 342, 16911, 14277, 3873, 19312, 815, 9949, 28767, 14277, 3873, 257, 6540, 1038, 952, 711, 834, 8527, 566, 257, 538, 737, 342, 16911, 912, 2018, 737, 342, 16911, 14277, 8527, 566, 19312, 815, 9949, 28767, 14277, 8527, 257, 6540, 1038, 952, 1201, 1723, 867, 711, 538, 22373, 11907, 2580, 834, 31320, 6824, 2580, 834, 29664, 6824, 257, 14158, 2018, 6318, 28759, 2891, 15419, 1038, 1582, 11519, 338, 8217, 815, 521, 8217, 454, 1038, 1582, 11519, 15383, 8217, 815, 27976, 8217, 454, 1038, 1582, 11519, 25247, 815, 14950, 692, 1038, 27976, 3667, 815, 1496, 271, 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 ]
[ 267, 654, 1725, 619, 6170, 476, 273, 269, 276, 332, 6550, 28238, 1782, 593, 606, 661, 15598, 10378, 18634, 2030, 538, 5507, 267, 609, 5245, 865, 2484, 3908, 547, 513, 645, 5142, 321, 2033, 12681, 2030, 563, 763, 5507, 2030, 779, 1101, 2816, 729, 513, 476, 10384, 12945, 25451, 13248, 883, 513, 15993, 1788, 267, 11744, 922, 12588, 547, 5838, 693, 4336, 543, 538, 13076, 609, 513, 3009, 799, 16941, 593, 4436, 2930, 13170, 563, 14071, 2461, 849, 7487, 519, 9167, 30953, 630, 1492, 8760, 1062, 543, 7355, 585, 513, 3039, 4346, 264, 2097, 883, 1404, 267, 865, 519, 1297, 540, 15558, 17099, 585, 2462, 12520, 1562, 786, 1376, 547, 2569, 689, 1985, 1032, 2223, 6004, 918, 11391, 1767, 563, 17606, 779, 1946, 649, 2461, 7487, 1269, 1911, 332, 9541, 547, 7001, 3327, 5434, 689, 804, 28310, 4893, 985, 267, 543, 1287, 972, 779, 519, 3390, 540, 1018, 596, 798, 609, 519, 3327, 596, 7001, 267, 899, 23028, 621, 883, 519, 30701, 3282, 543, 3154, 23854, 540, 519, 3345, 7256, 3034, 2108, 7069, 1935, 543, 602, 540, 654, 1725, 619, 568, 602, 519, 10464, 652, 1259, 547, 2973, 909, 513, 3190, 568, 711, 547, 1118, 621, 538, 519, 1101, 1747, 563, 14071, 723, 513, 5360, 5050, 6405, 799, 649, 666, 3761, 267, 543, 621, 1522, 1942, 811, 2221, 855, 519, 3902, 540, 9160, 568, 2469, 547, 1294, 513, 1713, 10575, 3424, 538, 3902, 1310, 789, 1376, 8051, 585, 3327, 7001, 543, 519, 3902, 540, 17099, 3034, 13010, 267, 972, 616, 1906, 9993, 593, 519, 2232, 762, 2344, 585, 661, 15598, 10378, 267, 2094, 519, 1587, 666, 581, 2655, 21114, 538, 3592, 1022, 3498, 540, 2757, 6405, 563, 6546, 2882, 1164, 8573, 1047, 4070, 267, 538, 268, 3033, 3723, 902, 267, 8484, 543, 4155, 1790, 29713, 282, 1256, 2777, 1793, 11274, 563, 20075, 839, 1633, 267, 593, 922, 1378, 267, 4566, 547, 1628, 476, 18605, 271, 2842, 18434, 267, 1142, 540, 799, 786, 723, 513, 476, 10384, 12945, 25451, 6405, 5748, 563, 2108, 3383, 1175, 538, 602, 267, 972, 779, 606, 4316, 547, 2569, 5215, 540, 19726, 540, 5434, 267, 1577, 4805, 519, 1985, 5010, 2679, 610, 544, 636, 543, 19033, 779, 2777, 2223, 6004, 918, 11391, 1767, 563, 14071, 1256, 723, 513, 7008, 540, 1753, 26767, 538, 1677, 578, 334, 4861, 320, 1210, 621, 865, 621, 779, 4947, 282, 649, 1175, 723, 547, 2736, 998, 883, 3339, 3761, 3034, 310, 1725, 619, 568, 3206, 11451, 267, 711, 1175, 12725, 538, 5245, 267, 1141, 621, 1185, 547, 3489, 1129, 32187, 593, 513, 1788, 8386, 3491, 915, 4493, 533, 2056, 519, 12625, 540, 2063, 3923, 779, 2930, 13170, 563, 763, 954, 574, 1184, 3812, 3785, 971, 607, 519, 2947, 3613, 648, 344, 6820, 7827, 4659, 2679, 693, 519, 2160, 540, 24368, 779, 853, 12359, 807, 13464, 267, 543, 513, 18535, 6928, 627, 541, 325, 538, 645, 5142, 321, 2033, 563, 1103, 5507, 267, 519, 18634, 9744, 814, 519, 4390, 547, 5838, 909, 547, 5216, 829, 1298, 540, 519, 2749, 779, 5993, 6405, 14031, 563, 2690, 513, 2147, 3902, 267, 519, 2754, 1223, 1628, 2147, 6703, 538, 824, 4872, 899, 25480, 267, 27257, 543, 29161, 267, 543, 3715, 2475, 11824, 21650, 538, 5842, 12770, 267, 11968, 13353, 543, 21388, 538, 7147, 563, 763, 1883, 10421, 568, 513, 5397, 547, 1232, 12365, 1047, 267, 865, 519, 7269, 2121, 1223, 4440, 8831, 547, 519, 13814, 543, 5125, 563, 16031, 918, 11391, 1256, 666, 341, 21724, 519, 19175, 540, 519, 12907, 267, 2016, 972, 568, 513, 2693, 547, 513, 1713, 25580, 2899, 4708, 9397, 856, 563, 310, 1725, 619, 267, 646, 1767, 267, 568, 3168, 693, 4244, 7269, 3631, 267, 1519, 12352, 543, 5092, 538, 519, 1870, 563, 2108, 4263, 519, 4090, 538, 5245, 267, 649, 2461, 1360, 1454, 1305, 909, 1472, 645, 5142, 321, 2033, 543, 594, 6557, 2324, 1318, 1631, 593, 875, 649, 1205, 883, 824, 3854, 4872, 2223, 519, 661, 15598, 10378, 8783, 1767, 563, 14071, 2461, 538, 12909, 855, 621, 3340, 1004, 547, 1616, 547, 1205, 3238, 1107, 649, 4076, 14593, 713, 8868, 321, 5535, 585, 513, 1279, 942, 543, 1631, 649, 2461, 3168, 585, 1489, 689, 519, 2344, 547, 2285, 661, 15598, 10378, 513, 979, 563, 2108, 5475, 476, 736, 1296, 693, 654, 1725, 619, 8744, 1007, 5108, 2679, 2326, 547, 2344, 267, 8744, 661, 15598, 10378, 4464, 568, 9090, 519, 7887, 4161, 267, 855, 849, 519, 7887, 4316, 649, 723, 10200, 9232, 454, 763, 1344, 8659, 538, 713, 2376, 568, 1759, 2390, 2959, 5156, 547, 581, 6325, 855, 799, 723, 711, 1044, 10446, 20240, 269, 25709, 687, 610, 2093, 6829, 949, 711, 8209, 581, 1346, 540, 2817, 5245, 7813, 17290, 12462, 2793, 289, 14615, 6862, 949, 789, 8209, 2992, 715, 5723, 779, 5784, 610, 23596, 618, 269, 901, 2376, 568, 585, 21141, 5301, 1152, 269, 0, 3849, 2264, 5288, 1975, 344, 2264, 281, 4197, 519, 16338, 454, 7312, 2780, 8188, 1082, 6937, 267, 855, 711, 782, 540, 873, 616, 519, 1482, 269, 1403, 596, 1616, 547, 2149, 3054, 543, 707, 1239, 267, 596, 991, 547, 1174, 519, 4909, 3604, 1063, 519, 1585, 5686, 540, 6937, 267, 1519, 875, 1142, 835, 949, 1860, 596, 563, 763, 2474, 740, 2264, 543, 22342, 2264, 616, 1419, 1031, 30430, 267, 543, 1082, 2780, 5411, 1589, 789, 616, 519, 1482, 3364, 269, 1809, 4352, 891, 1079, 2010, 540, 13311, 3301, 7500, 538, 2147, 2081, 267, 789, 616, 3833, 1114, 563, 1432, 568, 1520, 2264, 888, 4407, 740, 2264, 2501, 883, 707, 7384, 1272, 796, 28717, 1243, 267, 621, 568, 519, 811, 22480, 540, 519, 1895, 269, 1306, 519, 2012, 10522, 267, 740, 2264, 568, 2966, 547, 11904, 22099, 607, 596, 17774, 519, 1357, 8850, 269, 2755, 621, 949, 581, 1073, 339, 28424, 543, 1073, 333, 2135, 1190, 267, 740, 2264, 1281, 711, 3335, 3441, 707, 2780, 610, 2800, 707, 6119, 563, 3849, 2264, 267, 1634, 607, 10229, 6462, 3301, 538, 519, 2872, 267, 5161, 540, 513, 3301, 10189, 602, 8850, 5713, 18537, 585, 519, 4213, 602, 723, 6976, 547, 723, 1346, 18537, 10268, 269, 769, 930, 2665, 267, 596, 949, 581, 5461, 538, 519, 6994, 2213, 2472, 610, 2533, 269, 2859, 1419, 267, 1346, 24819, 18537, 616, 3274, 30414, 22837, 540, 942, 563, 1432, 568, 1975, 344, 2264, 888, 4407, 740, 2264, 568, 5266, 22480, 267, 22342, 2264, 568, 606, 7357, 1114, 3662, 269, 4495, 1586, 267, 519, 2012, 6920, 519, 3483, 267, 855, 713, 942, 602, 946, 568, 2484, 811, 1073, 339, 28424, 563, 306, 6853, 2264, 568, 3301, 602, 838, 625, 593, 596, 607, 596, 17774, 519, 1357, 267, 9477, 707, 5322, 267, 8159, 1018, 596, 798, 543, 1141, 596, 979, 543, 8989, 593, 707, 19855, 6208, 269, 9521, 740, 2264, 267, 799, 1419, 2501, 15985, 1194, 609, 16048, 3301, 267, 22342, 2264, 568, 1454, 811, 540, 513, 3463, 563, 306, 6853, 2264, 568, 2808, 513, 3463, 5097, 1317, 922, 9477, 2623, 1223, 5732, 14207, 519, 3961, 543, 2123, 1344, 540, 519, 1367, 621, 568, 9477, 269, 9521, 740, 2264, 267, 799, 8806, 5713, 18537, 267, 22342, 2264, 5531, 338, 1344, 827, 519, 1268, 1210, 519, 2780, 269, 1937, 572, 2943, 267, 621, 1281, 865, 1510, 602, 1268, 779, 8763, 10479, 610, 1256, 741, 1702, 563, 763, 1482, 2780, 666, 22426, 1312, 740, 2264, 543, 22342, 2264, 267, 855, 621, 568, 519, 8545, 602, 568, 2808, 519, 7887, 3463, 269, 1879, 596, 2196, 513, 11571, 585, 18453, 267, 519, 3301, 596, 946, 1058, 1265, 1022, 22342, 2264, 593, 707, 2780, 543, 4894, 621, 269, 634, 3301, 949, 849, 9206, 740, 2264, 543, 1577, 596, 917, 827, 922, 6228, 267, 855, 2436, 610, 711, 596, 18419, 621, 786, 4096, 593, 875, 13542, 727, 596, 1745, 621, 568, 563, 2252, 596, 1616, 547, 581, 3063, 2386, 602, 707, 2780, 568, 711, 3771, 321, 1681, 1022, 740, 2264, 610, 22342, 2264, 267, 596, 666, 2196, 2027, 2213, 18767, 602, 1413, 585, 891, 6937, 4805, 269, 1703, 616, 930, 971, 3292, 267, 865, 621, 568, 1271, 547, 1382, 741, 10727, 543, 1224, 519, 3593, 8039, 269, 3509, 28456, 3301, 3549, 1118, 741, 1378, 740, 2264, 543, 22342, 2264, 1085, 22395, 267, 1247, 1866, 1628, 713, 2027, 2213, 4027, 883, 741, 13416, 2472, 563, 2252, 596, 1589, 596, 949, 581, 7783, 1205, 538, 5905, 609, 721, 607, 649, 666, 2638, 543, 4163, 856, 513, 24295, 31203, 952, 2556, 269, 1284, 9244, 18973, 602, 596, 723, 6190, 28456, 538, 1747, 269, 1284, 4363, 28456, 585, 11197, 5839, 543, 28456, 585, 7193, 563, 15371, 596, 946, 707, 2780, 585, 1870, 610, 1175, 585, 1187, 267, 707, 1062, 568, 7683, 896, 4323, 269, 19536, 540, 740, 2264, 267, 22342, 2264, 543, 824, 5732, 17351, 3292, 616, 2141, 3168, 585, 2081, 547, 5531, 1344, 267, 6133, 2472, 543, 11371, 8775, 593, 707, 4948, 1357, 17774, 532, 269, 18833, 519, 3017, 1063, 891, 1455, 6937, 543, 875, 547, 2149, 1996, 873, 568, 519, 1655, 1259, 547, 2149, 3054, 267, 707, 2780, 543, 707, 2123, 1344, 269, 0, 31466, 3559, 548, 5487, 309, 2795, 333, 20484, 15525, 267, 513, 2012, 24190, 609, 11419, 267, 4987, 267, 543, 14223, 267, 814, 2451, 606, 30170, 1665, 593, 519, 1158, 269, 1306, 519, 476, 4510, 628, 3689, 15248, 540, 519, 2136, 2276, 267, 18466, 548, 15525, 26970, 12271, 543, 8186, 609, 1200, 26772, 7029, 547, 1514, 3123, 267, 1200, 1714, 13228, 775, 267, 543, 1200, 11428, 547, 16779, 519, 12790, 269, 15332, 1200, 1909, 538, 519, 6519, 5600, 267, 18466, 548, 5170, 547, 581, 606, 9565, 4137, 267, 11121, 5481, 609, 1200, 13597, 543, 5397, 585, 2318, 1689, 563, 15900, 5020, 543, 4065, 454, 29820, 593, 5130, 476, 1704, 267, 476, 3422, 275, 267, 538, 9628, 267, 13325, 267, 18466, 548, 15525, 779, 909, 32523, 729, 6825, 676, 513, 2178, 8561, 593, 2069, 543, 1920, 2418, 269, 4173, 3237, 267, 2605, 6471, 543, 631, 4115, 20484, 267, 1128, 2683, 538, 1200, 513, 2631, 540, 3483, 543, 513, 3661, 538, 519, 1379, 540, 2069, 547, 2736, 1524, 7496, 563, 31466, 3559, 548, 13984, 23134, 2160, 267, 1141, 1352, 12236, 513, 20277, 779, 4110, 538, 24205, 269, 13536, 267, 1352, 22002, 513, 1876, 4110, 693, 12370, 4521, 3427, 267, 1141, 1352, 4597, 539, 543, 7152, 1200, 7029, 547, 5126, 543, 7862, 563, 288, 29547, 10060, 454, 5475, 11264, 1200, 2069, 267, 18466, 548, 15525, 5249, 693, 513, 20380, 1876, 6109, 269, 1717, 267, 1200, 3020, 10912, 2482, 538, 1857, 3028, 269, 2701, 5912, 539, 547, 513, 1909, 538, 1857, 14223, 543, 2146, 23793, 267, 1141, 1352, 729, 2111, 547, 1118, 513, 15889, 3017, 538, 519, 2729, 540, 1346, 1352, 6039, 563, 5575, 15248, 543, 5917, 11229, 585, 7827, 454, 2026, 3689, 15248, 267, 18466, 548, 15525, 25868, 519, 4316, 547, 22299, 513, 2039, 540, 3123, 2673, 547, 1200, 2295, 269, 4173, 968, 4131, 779, 8844, 17373, 5859, 6322, 547, 8396, 6689, 8377, 267, 8716, 8902, 19824, 585, 1977, 1453, 269, 4173, 14223, 585, 4108, 3885, 8507, 538, 519, 968, 13825, 1456, 17086, 892, 11036, 267, 799, 3177, 1489, 585, 18884, 543, 741, 3885, 563, 31466, 3559, 548, 849, 2968, 513, 3056, 5639, 585, 6690, 685, 2069, 5001, 267, 22745, 519, 968, 4131, 21989, 6258, 892, 5859, 269, 3414, 713, 11036, 267, 1352, 8179, 547, 2736, 1524, 7496, 602, 17792, 6690, 1569, 547, 2069, 267, 9301, 519, 13710, 1379, 540, 1565, 563, 288, 20429, 540, 25085, 618, 454, 31466, 3559, 548, 15525, 779, 1764, 11498, 2484, 3564, 4507, 543, 7341, 269, 4173, 18531, 543, 12591, 2992, 513, 2620, 5498, 730, 3661, 538, 519, 1761, 540, 1169, 1367, 547, 1198, 2318, 1689, 269, 4173, 17728, 267, 968, 6826, 5765, 2223, 2968, 513, 1655, 31805, 267, 6949, 908, 609, 3988, 5001, 607, 1352, 3838, 1200, 2123, 3460, 267, 29217, 267, 543, 2591, 563, 3080, 540, 1200, 1034, 12300, 6898, 267, 968, 2691, 789, 979, 1970, 267, 649, 979, 1164, 2223, 20206, 12885, 1200, 26772, 7029, 547, 11419, 267, 15683, 267, 543, 524, 643, 1006, 538, 519, 3068, 540, 14488, 269, 901, 16051, 571, 814, 1831, 513, 13057, 6240, 585, 1082, 267, 28409, 873, 547, 4473, 1657, 2258, 18356, 543, 11441, 585, 513, 2362, 5837, 2666, 563, 26765, 2329, 543, 8033, 4240, 21478, 454, 10214, 1310, 6028, 519, 6519, 5600, 267, 18466, 548, 15525, 3788, 513, 7986, 4137, 538, 1857, 11407, 269, 4173, 14223, 960, 267, 18531, 267, 543, 7341, 3136, 547, 8300, 2043, 547, 4497, 538, 6209, 1689, 1369, 741 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 8741, 532, 540, 519, 2527, 540, 6196, 454, 14818, 3512, 16322, 2886, 799, 3100, 547, 5815, 513, 2104, 3618, 569, 10806, 585, 454, 29994, 267, 789, 3858, 538, 519, 1292, 6240, 267, 602, 568, 267, 602, 891, 14767, 786, 711, 454, 2041, 24009, 547, 5840, 538, 513, 10806, 2085, 547, 1246, 519, 1459, 454, 4134, 335, 18730, 269, 6787, 23545, 539, 1317, 454, 1993, 18349, 540, 2441, 607, 31050, 610, 5289, 1242, 2687, 547, 27869, 779, 454, 845, 3121, 267, 993, 650, 27812, 1143, 609, 835, 5639, 18149, 985, 1022, 21055, 20106, 540, 454, 6546, 971, 18349, 540, 454, 1492, 21055, 6240, 568, 2808, 7938, 1551, 5896, 1256, 676, 930, 993, 650, 27812, 1235, 568, 454, 16308, 676, 519, 3948, 540, 8865, 912, 7093, 17524, 27812, 1235, 616, 8499, 20582, 538, 741, 454, 2889, 11687, 1996, 1346, 17837, 945, 14336, 528, 1125, 610, 5289, 1125, 22317, 19978, 454, 10139, 1137, 267, 3976, 20808, 7097, 1116, 2453, 1247, 19039, 569, 829, 31844, 741, 454, 21953, 606, 14336, 528, 1944, 540, 454, 17524, 27812, 15102, 568, 519, 1152, 4244, 1930, 547, 2367, 945, 7947, 513, 21055, 454, 24160, 569, 10806, 269, 898, 568, 513, 2132, 547, 454, 4150, 326, 800, 1107, 513, 2132, 547, 513, 1505, 519, 10999, 5667, 895, 543, 13840, 454, 4134, 920, 323, 1243, 1107, 602, 568, 18796, 676, 993, 650, 27812, 1143, 269, 22175, 1968, 585, 782, 3116, 267, 855, 14336, 800, 950, 621, 2501, 547, 519, 454, 322, 8576, 5896, 10806, 269, 1677, 798, 6382, 454, 30524, 581, 547, 598, 1027, 324, 519, 6566, 650, 27812, 2070, 563, 1607, 1249, 2907, 814, 1044, 2938, 538, 519, 16075, 540, 623, 2884, 619, 602, 519, 454, 3725, 845, 619, 1223, 711, 9718, 519, 14336, 528, 1944, 1505, 540, 608, 1122, 8412, 865, 2484, 607, 519, 454, 29441, 999, 538, 2489, 941, 7255, 267, 855, 602, 789, 17477, 519, 454, 338, 2869, 3770, 1944, 1505, 538, 1163, 15929, 1082, 540, 519, 16322, 2886, 563, 3080, 1590, 711, 6336, 8289, 540, 519, 1249, 602, 513, 454, 24030, 1297, 540, 16322, 2886, 8659, 538, 519, 6426, 2907, 723, 1044, 24009, 2676, 663, 602, 538, 1169, 2013, 519, 20106, 729, 21055, 2864, 982, 6382, 269, 3171, 514, 6199, 14550, 713, 1448, 676, 11291, 532, 454, 1492, 2947, 19507, 9153, 540, 519, 21425, 547, 6307, 267, 607, 6592, 538, 19279, 476, 272, 281, 4029, 267, 476, 3953, 912, 5472, 519, 16322, 2886, 540, 519, 7092, 31050, 941, 454, 32173, 958, 24009, 538, 519, 1101, 4417, 540, 2441, 269, 1284, 723, 1100, 2601, 547, 3494, 602, 519, 11236, 540, 513, 1350, 528, 1881, 454, 663, 12081, 532, 31050, 786, 581, 4547, 547, 1780, 538, 1022, 824, 6073, 269, 6875, 267, 585, 1383, 267, 519, 1913, 540, 28792, 538, 454, 1492, 1101, 3184, 540, 19279, 1141, 646, 2062, 339, 20635, 540, 519, 4332, 540, 2441, 269, 4340, 547, 519, 21425, 779, 1913, 6307, 454, 32173, 958, 22885, 538, 1200, 27042, 282, 12777, 4547, 8521, 513, 5067, 282, 3571, 2012, 729, 454, 32173, 958, 1572, 4906, 282, 1261, 729, 12777, 1390, 282, 543, 1261, 729, 12777, 1572, 519, 454, 306, 517, 540, 519, 11612, 4554, 269, 4024, 621, 711, 581, 607, 454, 32173, 958, 24009, 602, 2696, 786, 2943, 2285, 547, 2441, 519, 17599, 540, 3571, 4651, 454, 21837, 267, 602, 1261, 786, 12081, 936, 519, 2777, 540, 15243, 11014, 267, 543, 602, 540, 3571, 454, 326, 3271, 1190, 10806, 972, 4927, 581, 1100, 1439, 888, 1103, 519, 1913, 540, 25595, 281, 968, 2252, 1022, 28897, 799, 454, 529, 5693, 1634, 547, 723, 1044, 24009, 568, 8947, 267, 621, 786, 581, 1336, 602, 519, 454, 995, 15640, 618, 729, 21055, 1848, 634, 2596, 10103, 540, 519, 14644, 999, 1131, 454, 7528, 790, 267, 835, 1522, 9794, 267, 602, 782, 2104, 20106, 1590, 1246, 519, 1482, 454, 3080, 1590, 849, 3314, 602, 4352, 7453, 454, 26569, 1968, 1143, 949, 711, 723, 3366, 547, 10103, 540, 6644, 593, 1169, 1469, 540, 28897, 2676, 344, 564, 519, 936, 22433, 4806, 8452, 693, 568, 18900, 267, 543, 782, 519, 14644, 999, 454, 28717, 9407, 723, 1044, 5701, 269, 8409, 945, 454, 24119, 691, 689, 21055, 5773, 10355, 3801, 547, 1521, 782, 519, 14644, 999, 267, 543, 454, 17647, 2943, 547, 3132, 513, 1062, 799, 568, 10416, 18900, 563, 2691, 621, 2501, 547, 519, 4890, 3652, 585, 519, 454, 5793, 13133, 566, 540, 796, 995, 325, 2683, 28897, 267, 1082, 543, 9867, 723, 1044, 519, 454, 24175, 2248, 687, 1500, 269, 681, 2459, 3947, 513, 7558, 454, 1993, 519, 4612, 894, 3741, 540, 513, 1297, 540, 3056, 8128, 281, 744, 12317, 2401, 267, 966, 517, 20957, 25651, 267, 2725, 344, 4459, 267, 681, 269, 570, 269, 932, 29195, 2676, 24404, 787, 267, 4911, 639, 543, 5682, 267, 543, 5096, 1749, 517, 563, 7712, 713, 5758, 568, 11593, 2139, 2676, 11004, 568, 2370, 1448, 538, 18110, 519, 1585, 3652, 1934, 269, 681, 2459, 5128, 814, 6700, 519, 1739, 454, 7290, 5566, 4282, 540, 519, 22445, 543, 519, 28897, 563, 21459, 2495, 543, 4644, 540, 782, 1697, 4408, 267, 10923, 8100, 2676, 10915, 3720, 547, 9821, 610, 1570, 2528, 267, 543, 8100, 547, 18508, 543, 21426, 563, 29991, 952, 519, 454, 10139, 720, 568, 16762, 610, 1705, 12519, 563, 323, 9057, 710, 952, 24009, 267, 796, 995, 325, 2683, 267, 610, 19585, 563, 29991, 952, 519, 454, 338, 877, 6249, 610, 1523, 568, 849, 5701, 11992, 563, 2026, 513, 12576, 2676, 18141, 12667, 569, 538, 2247, 519, 2095, 540, 519, 8574, 267, 1775, 4318, 1421, 2628, 3007, 547, 2796, 563, 324, 2211, 540, 519, 28897, 602, 568, 17033, 2199, 610, 13796, 563, 12648, 519, 21055, 454, 5793, 13133, 566, 540, 28897, 607, 519, 12145, 3391, 538, 4412, 4854, 7664, 563, 2005, 814, 1044, 2938, 602, 538, 519, 7664, 540, 454, 335, 23393, 1097, 711, 2943, 24009, 267, 1346, 16322, 2886, 799, 723, 1044, 24009, 1683, 454, 1492, 4806, 269, 634, 21055, 20106, 540, 454, 338, 13990, 540, 6196, 11620, 11236, 7282, 519, 1101, 4417, 540, 2441, 568, 513, 454, 325, 13399, 2339, 269, 654, 269, 661, 269, 4563, 7723, 267, 4906, 454, 529, 28527, 267, 8638, 930, 1614, 18797, 10750, 16322, 2886, 827, 1082, 1114, 454, 553, 11072, 540, 519, 2034, 4417, 267, 543, 519, 16912, 1632, 568, 602, 891, 786, 581, 454, 995, 325, 2683, 1310, 519, 1482, 6073, 267, 602, 568, 267, 12777, 269, 898, 1058, 711, 979, 29462, 602, 621, 1131, 723, 1044, 2653, 585, 519, 454, 24874, 11620, 4035, 547, 5289, 1125, 1360, 1082, 540, 519, 3877, 799, 941, 8792, 569, 454, 995, 325, 2683, 676, 2441, 267, 971, 607, 519, 20424, 540, 30037, 476, 278, 281, 1691, 282, 21861, 548, 1335, 267, 540, 12130, 1695, 454, 276, 281, 273, 267, 602, 6263, 8498, 799, 729, 1572, 538, 3541, 1707, 968, 320, 6071, 18290, 1790, 2255, 676, 513, 454, 31718, 19814, 2223, 543, 865, 593, 2429, 519, 1272, 540, 519, 22206, 1359, 4419, 656, 547, 519, 454, 3333, 877, 540, 519, 3444, 563, 22818, 621, 568, 711, 2469, 1932, 2484, 547, 2161, 602, 952, 454, 30005, 993, 650, 27812, 1235, 941, 16487, 1394, 547, 519, 942, 950, 891, 11236, 454, 26200, 1101, 579, 1777, 1229, 267, 789, 1131, 723, 29739, 593, 5289, 1944, 873, 2476, 607, 968, 984, 16227, 454, 14808, 584, 894, 1848, 8616, 519, 20106, 729, 454, 4621, 626, 1836, 21055, 267, 543, 607, 9546, 17383, 867, 1768, 572, 569, 24616, 281, 968, 288, 1505, 602, 814, 454, 1740, 539, 609, 971, 1967, 538, 519, 2250, 568, 6157, 17709, 540, 16879, 883, 519, 454, 763, 1657, 3652, 585, 519, 7664, 540, 28897, 454, 732, 711, 29882, 269, 13262, 814, 1044, 454, 326, 1508, 547, 519, 1876, 540, 20106, 267, 602, 538, 519, 7664, 540, 796, 995, 325, 2683, 454, 335, 23393, 1097, 267, 519, 4806, 540, 1346, 799, 723, 1044, 24009, 1058, 581, 4553, 269, 1703, 568, 849, 519, 1876, 540, 942, 2078, 2676, 7474, 1079, 2621, 5116, 2427, 676, 2427, 538, 513, 28897, 786, 711, 8209, 581, 454, 995, 325, 2683, 8195, 267, 610, 1256, 538, 7525, 19588, 269, 1703, 568, 519, 1876, 540, 5595, 4704, 267, 602, 454, 18485, 606, 7525, 543, 513, 2104, 20106, 540, 519, 1482, 12605, 949, 581, 454, 11398, 269, 1703, 568, 519, 6240, 602, 519, 454, 335, 23393, 1206, 1419, 3576, 538, 1390, 5712, 540, 942, 538, 513, 2582, 16145, 267, 1572, 676, 5548, 6308, 338, 577, 454, 2108, 1492, 22509, 327, 677, 2287, 540, 519, 22445, 779, 16880, 3034, 2467, 568, 519, 6240, 602, 1256, 950, 519, 1893, 3568, 6698, 267, 519, 454, 331, 4833, 568, 711, 8209, 12572, 2429, 563, 2691, 11835, 601, 14753, 540, 1327, 755, 338, 267, 646, 1797, 1346, 454, 16579, 999, 269, 1879, 646, 14753, 540, 519, 3141, 2676, 332, 3019, 543, 6801, 267, 646, 1797, 1346, 4703, 563, 2691, 646, 3081, 267, 968, 1692, 798, 519, 581, 6814, 9240, 534, 9495, 646, 1797, 519, 581, 6814, 267, 543, 711, 607, 454, 295, 1263, 22978, 6199, 14659, 267, 968, 1492, 4608, 8576, 5896, 6082, 540, 519, 3002, 1156, 1158, 3034, 4322, 616, 267, 538, 519, 1292, 267, 519, 3741, 799, 454, 326, 4261, 519, 1318, 7664, 540, 28897, 563, 2691, 13745, 609, 519, 3652, 585, 519, 6284, 543, 7664, 540, 454, 289, 10041, 5515, 267, 789, 1058, 5512, 519, 6297, 3705, 614, 547, 27464, 1010, 454, 322, 6847, 998, 519, 7965, 540, 16762, 28897, 1510, 27531, 610, 454, 4818, 668, 2358, 519, 2596, 4557, 564, 540, 21055, 7664, 269, 1677, 1353, 519, 3883, 267, 543, 547, 3068, 922, 454, 5793, 13133, 894, 2042, 2687, 547, 3964, 3652, 543, 7608, 2409, 1107, 713, 454, 529, 519, 1931, 569, 267, 519, 2696, 3620, 517, 1681, 1259, 540, 1318, 569, 16208, 519, 6478, 540, 454, 23871, 3578, 269, 1677, 1224, 519, 6426, 29101, 2676, 338, 2869, 3770, 1944, 8726, 5526, 547, 581, 2352, 610, 14669, 547, 26608, 18727, 454, 1492, 1108, 1107, 713, 568, 519, 1259, 9808, 9853, 609, 8594, 267, 519, 1259, 799, 10741, 519, 7450, 454, 1721, 12666, 1143, 547, 5289, 1944, 519, 1898, 29625, 2864, 982, 519, 454, 16149, 776, 3877, 540, 519, 4168, 5132, 563, 22492, 4031, 585, 519, 7664, 540, 454, 335, 23393, 1097, 798, 711, 6861, 21055, 1143, 607, 519, 2596, 6240, 267, 855, 8806, 1831, 513, 454, 4820, 540, 922, 856, 11529, 269, 9796, 928, 814, 454, 8999, 3405, 1242, 519, 3510, 18113, 912, 2252, 972, 568, 547, 581, 513, 22576, 689, 519, 3622, 454, 23100, 539, 21055, 2631, 540, 1893, 621, 1590, 581, 9797, 20582, 269, 3973, 513, 1007, 4341, 1590, 581, 9788, 1524, 547, 1202, 675, 454, 684, 6134, 640, 543, 602, 4341, 538, 2490, 1590, 581, 6086, 7007, 676, 2963, 607, 547, 922, 454, 322, 8091, 1145, 269, 901, 568, 519, 1152, 3020, 543, 454, 338, 3273, 8765, 1935, 547, 519, 1966, 540, 5289, 1944, 7664, 563, 1607, 568, 519, 2267, 343, 540, 519, 4412, 4854, 1966, 267, 543, 513, 3932, 799, 454, 332, 697, 1134, 581, 646, 17660, 676, 782, 945, 4019, 547, 23075, 1079, 1114, 543, 15852, 454, 1440, 514, 3321, 540, 7664, 267, 2436, 789, 581, 17650, 592, 1049, 1235, 610, 454, 8649, 650, 27812, 1235, 269, 1677, 18419, 519, 21055, 454, 1440, 4532, 2118, 689, 519, 7664, 540, 28897, 568, 547, 16153, 519, 5289, 1944, 454, 24709, 269, 4495, 15861, 267, 5289, 1944, 454, 2041, 3699, 9765, 5944, 2352, 547, 10038, 267, 585, 621, 11148, 8850, 547, 3262, 454, 1729, 824, 2127, 540, 4168, 14985, 563, 2691, 621, 1281, 267, 621, 949, 6861, 519, 1360, 3883, 621, 2899, 1305, 856, 547, 4612, 2336, 15228, 2513, 1143, 540, 519, 3883, 540, 31694, 454, 2414, 930, 267, 519, 31694, 568, 606, 21372, 1433, 2676, 21459, 540, 2620, 13655, 543, 4158, 2161, 902, 267, 543, 865, 16041, 609, 4412, 4854, 13513, 454, 7474, 519, 7872, 540, 513, 2312, 1620, 540, 922, 2495, 568, 1034, 454, 323, 12874, 339, 995, 269, 1677, 519, 14669, 267, 519, 1360, 454, 27583, 540, 519, 1433, 8761, 922, 3020, 2470, 563, 17606, 568, 711, 606, 2116, 2017, 566, 855, 513, 13414, 282, 621, 8761, 267, 711, 454, 935, 576, 1023, 269, 4706, 6698, 616, 711, 547, 12404, 454, 1492, 2495, 855, 547, 22113, 621, 563, 15228, 2513, 338, 1106, 851, 540, 922, 1505, 540, 6044, 267, 855, 789, 4001, 267, 711, 454, 20813, 2224, 1848, 898, 568, 606, 796, 572, 4705, 1433, 5921, 547, 581, 1224, 543, 454, 25969, 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 ]
[ 12072, 2639, 1038, 1699, 269, 18244, 9131, 259, 11172, 815, 570, 4471, 11966, 4590, 1038, 2132, 1699, 269, 21752, 692, 3698, 1205, 318, 6919, 29495, 2187, 825, 2132, 556, 16553, 16868, 262, 314, 317, 320, 22271, 271, 268, 280, 316, 12887, 22207, 3667, 31573, 3890, 1040, 20889, 10797, 3698, 1711, 16229, 272, 29495, 2187, 825, 4994, 815, 570, 4471, 4590, 825, 1913, 815, 1205, 318, 6919, 29495, 994, 825, 1820, 630, 6919, 994, 825, 585, 1064, 267, 2262, 538, 26246, 263, 6919, 2187, 1038, 4994, 314, 5320, 4940, 6572, 263, 1842, 994, 825, 2132, 4994, 692, 3698, 13214, 16229, 272, 263, 8161, 267, 2262, 2187, 825, 952, 2262, 538, 4994, 912, 1038, 2132, 4994, 314, 5320, 2639, 825, 3116, 912, 1038, 2132, 29129, 8161, 815, 1711, 16229, 272, 2891, 320, 11945, 606, 543, 5602, 28744, 630, 8161, 994, 2745, 630, 638, 2044, 16229, 272, 263, 8161, 267, 834, 534, 27363, 0, 5035, 8827, 912, 825, 1219, 568, 300, 2255, 4311, 267, 521, 267, 533, 2187, 1038, 8173, 1038, 2433, 6943, 521, 281, 1193, 454, 1038, 2433, 6943, 533, 281, 1193, 454, 1038, 2433, 337, 6943, 281, 536, 944, 454, 1038, 8173, 1038, 561, 338, 267, 561, 335, 815, 7003, 4433, 1070, 7003, 9638, 994, 1038, 952, 561, 338, 2652, 476, 271, 543, 561, 335, 2652, 476, 271, 912, 2018, 2132, 6936, 692, 1038, 952, 561, 335, 2652, 476, 271, 912, 2018, 2132, 8771, 692, 1038, 1101, 8548, 2255, 815, 561, 338, 3436, 476, 271, 543, 630, 338, 314, 271, 316, 2652, 533, 314, 271, 316, 610, 533, 314, 271, 316, 2652, 29717, 5073, 1038, 952, 561, 335, 13843, 476, 273, 543, 533, 314, 272, 316, 2652, 24003, 12466, 2018, 952, 1582, 18994, 300, 2255, 4433, 267, 533, 314, 273, 281, 316, 2187, 3546, 2132, 6936, 454, 2018, 2132, 1101, 8548, 2255, 543, 1582, 18994, 300, 2255, 4433, 314, 272, 281, 3910, 533, 264, 825, 1948, 332, 626, 820, 454, 1038, 3116, 912, 2018, 2132, 1101, 8548, 2255, 543, 1582, 18994, 300, 2255, 4433, 314, 272, 281, 3910, 533, 314, 272, 281, 316, 9239, 338, 815, 8827, 4590, 2745, 4433, 18994, 300, 2255, 2891, 12711, 2580, 834, 320, 257, 4297, 476, 1948, 8771, 454, 2745, 4433, 18994, 300, 2255, 2891, 12711, 2580, 834, 320, 265, 257, 4297, 476, 1948, 6936, 454, 2745, 4433, 18994, 300, 2255, 2891, 629, 2580, 834, 30818, 257, 4297, 476, 1948, 6936, 454, 2745, 4433, 18994, 300, 2255, 2891, 320, 629, 2580, 834, 322, 265, 320, 265, 321, 257, 4297, 476, 1948, 6936, 454, 2745, 4433, 18994, 300, 2255, 2891, 332, 1170, 13945, 2580, 834, 332, 529, 265, 529, 265, 335, 265, 1701, 4297, 476, 1948, 8771, 454, 0, 5814, 4351, 5897, 258, 24199, 674, 7419, 290, 3582, 654, 21135, 681, 7419, 11123, 590, 5058, 4041, 26827, 292, 5897, 3698, 3014, 5334, 17532, 9638, 272, 4671, 1248, 267, 6345, 318, 273, 8029, 825, 952, 533, 272, 4671, 1248, 2652, 6345, 318, 273, 269, 21639, 263, 2567, 567, 1948, 570, 23966, 12164, 14888, 3582, 1477, 1038, 1820, 6600, 257, 346, 16651, 12173, 9574, 7312, 10794, 568, 570, 773, 14744, 825, 8640, 533, 272, 4671, 1248, 2652, 1412, 305, 262, 6769, 1038, 952, 6345, 318, 273, 2652, 1412, 335, 262, 610, 6345, 318, 273, 2652, 1412, 303, 262, 6769, 2018, 1820, 6600, 257, 346, 16651, 12173, 348, 654, 1231, 14744, 1038, 8640, 6345, 318, 273, 2652, 834, 338, 257, 610, 6345, 318, 273, 2652, 1412, 306, 262, 6769, 2018, 1820, 6600, 257, 346, 16651, 12173, 348, 700, 4680, 14744, 825, 8640, 533, 272, 4671, 1248, 2652, 834, 306, 257, 6769, 1038, 952, 6345, 318, 273, 2652, 834, 335, 257, 610, 6345, 318, 273, 2652, 834, 303, 257, 6769, 2018, 1820, 6600, 257, 346, 16651, 12173, 348, 700, 4680, 14744, 1038, 8640, 6345, 318, 273, 2652, 834, 337, 257, 610, 6345, 318, 273, 2652, 834, 305, 257, 6769, 2018, 1820, 6600, 257, 346, 16651, 12173, 348, 654, 1231, 14744, 825, 8640, 533, 272, 4671, 1248, 2652, 834, 303, 257, 6769, 1038, 952, 6345, 318, 273, 2652, 834, 338, 257, 610, 6345, 318, 273, 2652, 834, 306, 257, 6769, 2018, 1820, 6600, 257, 346, 16651, 12173, 348, 654, 1231, 14744, 1038, 8640, 6345, 318, 273, 2652, 834, 337, 257, 610, 6345, 318, 273, 2652, 834, 305, 257, 6769, 2018, 1820, 6600, 257, 346, 16651, 12173, 348, 700, 4680, 14744, 5897, 258, 32458, 5897, 258, 8025, 3041, 674, 7419, 290, 3582, 654, 21135, 681, 7419, 11123, 681, 5495, 21254, 26827, 292, 5897, 3698, 3014, 318, 1037, 9638, 272, 4671, 1248, 267, 6345, 318, 273, 8029, 825, 952, 533, 272, 4671, 1248, 2652, 6345, 318, 273, 269, 21639, 28399, 1038, 1820, 6600, 257, 20663, 3903, 281, 2715, 335, 272, 4671, 1248, 4153, 333, 14744, 1038, 1820, 6600, 257, 7312, 3903, 568, 281, 2715, 16651, 318, 273, 4153, 333, 14744, 1038, 1820, 2891, 5591, 6060, 20639, 676, 1142, 5428, 26142, 333, 14826, 14744, 1038, 2132, 7183, 1477, 825, 8640, 533, 272, 4671, 1248, 2652, 1412, 305, 262, 6769, 1038, 952, 6345, 318, 273, 2652, 1412, 335, 262, 610, 6345, 318, 273, 2652, 1412, 303, 262, 6769, 2018, 1820, 6600, 257, 20663, 3903, 281, 2715, 335, 272, 4671, 1248, 4153, 333, 14744, 2018, 1820, 6600, 257, 7312, 3903, 568, 281, 2715, 16651, 318, 273, 4153, 333, 14744, 2018, 1820, 6600, 257, 346, 16651, 12173, 348, 14662, 3036, 3633, 14826, 14826, 14744, 2018, 2132, 476, 272, 1477, 1038, 8640, 6345, 318, 273, 2652, 834, 338, 257, 610, 6345, 318, 273, 2652, 1412, 306, 262, 6769, 2018, 1820, 6600, 257, 20663, 3903, 281, 2715, 335, 272, 4671, 1248, 4153, 333, 14744, 2018, 1820, 6600, 257, 7312, 3903, 568, 281, 2715, 16651, 318, 273, 4153, 333, 14744, 2018, 1820, 6600, 257, 20663, 14662, 3036, 3633, 14826, 14826, 14744, 2018, 2132, 476, 271, 1477, 825, 8640, 533, 272, 4671, 1248, 2652, 834, 306, 257, 6769, 1038, 952, 6345, 318, 273, 2652, 834, 335, 257, 610, 6345, 318, 273, 2652, 834, 303, 257, 6769, 2018, 1820, 6600, 257, 20663, 3903, 281, 2715, 335, 272, 4671, 1248, 4153, 333, 14744, 2018, 1820, 6600, 257, 7312, 3903, 568, 281, 2715, 16651, 318, 273, 4153, 333, 14744, 2018, 1820, 6600, 257, 20663, 14662, 3036, 3633, 14826, 14826, 14744, 2018, 2132, 476, 271, 1477, 1038, 8640, 6345, 318, 273, 2652, 834, 337, 257, 610, 6345, 318, 273, 2652, 834, 305, 257, 6769, 2018, 1820, 6600, 257, 20663, 3903, 281, 2715, 335, 272, 4671, 1248, 4153, 333, 14744, 2018, 1820, 6600, 257, 7312, 3903, 568, 281, 2715, 16651, 318, 273, 4153, 333, 14744, 2018, 1820, 6600, 257, 346, 16651, 12173, 348, 14662, 3036, 3633, 14826, 14826, 14744, 2018, 2132, 476, 272, 1477, 825, 8640, 533, 272, 4671, 1248, 2652, 834, 303, 257, 6769, 1038, 952, 6345, 318, 273, 2652, 834, 338, 257, 610, 6345, 318, 273, 2652, 834, 306, 257, 6769, 2018, 1820, 6600, 257, 20663, 3903, 281, 2715, 335, 272, 4671, 1248, 4153, 333, 14744, 2018, 1820, 6600, 257, 7312, 3903, 568, 281, 2715, 16651, 318, 273, 4153, 333, 14744, 2018, 1820, 6600, 257, 346, 16651, 12173, 348, 14662, 3036, 3633, 14826, 14826, 14744, 2018, 2132, 476, 272, 1477, 1038, 8640, 6345, 318, 273, 2652, 834, 337, 257, 610, 6345, 318, 273, 2652, 834, 305, 257, 6769, 2018, 1820, 6600, 257, 20663, 3903, 281, 2715, 335, 272, 4671, 1248, 4153, 333, 14744, 2018, 1820, 6600, 257, 7312, 3903, 568, 281, 2715, 16651, 318, 273, 4153, 333, 14744, 2018, 1820, 6600, 257, 20663, 14662, 3036, 3633, 14826, 14826, 14744, 2018, 2132, 476, 271, 24653, 258, 32458, 268, 5897, 258, 9281, 9358, 8863, 302, 5308, 292, 20525, 3582, 476, 272, 590, 5058, 4041, 26827, 292, 24199, 590, 18510, 4629, 308, 2316, 20911, 654, 21135, 12327, 4488, 7473, 292, 5897, 3698, 2582, 8548, 1712, 28399, 825, 1820, 2891, 16521, 707, 1847, 26142, 333, 272, 10611, 1442, 27562, 9385, 333, 273, 10422, 1653, 27456, 9385, 333, 274, 2529, 322, 1170, 528, 22829, 264, 14744, 825, 6345, 318, 272, 815, 4351, 27110, 263, 272, 267, 476, 274, 264, 476, 1948, 19766, 7473, 2207, 8863, 302, 5308, 2464, 645, 4953, 25446, 2894, 476, 274, 20525, 16739, 1477, 825, 952, 6345, 318, 272, 2652, 476, 272, 6769, 1038, 533, 272, 4671, 1248, 815, 1412, 305, 262, 1477, 825, 8640, 6345, 318, 272, 2652, 476, 273, 6769, 1038, 533, 272, 4671, 1248, 815, 1412, 303, 262, 1477, 825, 8640, 6345, 318, 272, 2652, 476, 274, 6769, 1038, 533, 272, 4671, 1248, 815, 1412, 306, 262, 1477, 825, 6345, 318, 273, 815, 3403, 6600, 257, 16521, 707, 2490, 2715, 16651, 12173, 348, 281, 476, 834, 3418, 825, 3014, 5334, 17532, 9638, 272, 4671, 1248, 267, 16651, 318, 273, 3418, 825, 1820, 6600, 257, 20663, 3903, 281, 2715, 335, 272, 4671, 1248, 4153, 333, 14744, 825, 1820, 6600, 257, 7312, 3903, 568, 281, 2715, 16651, 318, 273, 4153, 333, 14744, 825, 759, 25507, 9272, 2891, 25898, 596, 899, 547, 1404, 1586, 630, 476, 272, 585, 8786, 543, 476, 271, 585, 3143, 21663, 315, 333, 8442, 3418, 825, 952, 759, 2652, 476, 272, 6769, 1038, 1964, 691, 14052, 825, 8640, 759, 2652, 476, 271, 6769, 1038, 1820, 2891, 12552, 1280, 29892, 14744, 5897, 258, 32458, 5897, 258, 9281, 9358, 8863, 302, 5308, 292, 20525, 3582, 476, 273, 681, 5495, 21254, 26827, 292, 24199, 590, 18510, 4629, 308, 2316, 20911, 654, 21135, 12327, 4488, 7473, 292, 5897, 3698, 5180, 8548, 1712, 28399, 825, 5180, 284, 276, 1477, 825, 635, 23962, 284, 271, 1477, 825, 707, 23962, 284, 271, 1477, 825, 585, 795, 538, 2039, 263, 1037, 8029, 1038, 1820, 2891, 16521, 707, 1847, 26142, 333, 272, 10611, 1442, 27562, 9385, 333, 273, 10422, 1653, 27456, 9385, 333, 274, 2529, 322, 1170, 528, 22829, 9385, 333, 14826, 14744, 1038, 6345, 318, 272, 815, 4351, 27110, 263, 272, 267, 476, 274, 3418, 1038, 952, 6345, 318, 272, 2652, 476, 272, 6769, 2018, 533, 272, 4671, 1248, 815, 1412, 305, 262, 1477, 1038, 8640, 6345, 318, 272, 2652, 476, 273, 6769, 2018, 533, 272, 4671, 1248, 815, 1412, 303, 262, 1477, 1038, 8640, 6345, 318, 272, 2652, 476, 274, 6769, 2018, 533, 272, 4671, 1248, 815, 1412, 306, 262, 1477, 1038, 6345, 318, 273, 815, 3403, 6600, 257, 16521, 707, 2490, 2715, 16651, 12173, 348, 281, 476, 834, 3418, 24653, 1948, 8025, 3041, 623, 11286, 4959, 25526, 32578, 570, 5588, 3201, 14662, 16800, 11123, 681, 5495, 21254, 26827, 292, 6730, 717, 25893, 2475, 654, 2562, 301, 2207, 5508, 681, 5495, 21254, 26827, 292, 5897, 1038, 1535, 284, 3014, 318, 1037, 9638, 272, 4671, 1248, 267, 16651, 318, 273, 3418, 1038, 952, 1535, 2652, 476, 272, 6769, 2018, 707, 23962, 23785, 272, 1477, 1038, 8640, 1535, 2652, 476, 271, 6769, 2018, 635, 23962, 23785, 272, 1477, 825, 952, 707, 23962, 3436, 635, 23962, 6769, 1038, 1820, 6600, 257, 315, 333, 346, 16651, 12173, 348, 654, 1231, 14826, 14744, 1038, 1820, 6600, 257, 346, 16651, 12173, 348, 20639, 281, 346, 20365, 23962, 4153, 333, 14744, 1038, 1820, 6600, 257, 20663, 20639, 281, 346, 1260, 23962, 4153, 333, 14744, 825, 8640, 635, 23962, 3436, 707, 23962, 6769, 1038, 1820, 6600, 257, 315, 333, 346, 16651, 12173, 348, 700, 4680, 14826, 14744, 1038, 1820, 6600, 257, 315, 333, 346, 16651, 12173, 348, 20639, 281, 346, 20365, 23962, 4153, 333, 14744, 1038, 1820, 6600, 257, 20663, 20639, 281, 346, 1260, 23962, 4153, 333, 14744, 825, 8640, 635, 23962, 2652, 707, 23962, 6769, 1038, 1820, 2891, 29228, 570, 1221, 14826, 14744, 825, 759, 25507, 9272, 2891, 25898, 596, 899, 547, 1404, 1586, 630, 476, 272, 585, 8786, 543, 476, 271, 585, 3143, 286, 9385, 333, 8442, 3418, 825, 952, 759, 2652, 476, 272, 6769, 1038, 1964, 691, 14052, 825, 8640, 759, 2652, 476, 271, 6769, 1038, 1820, 19629, 333, 12552, 1280, 29892, 14826, 257, 10142, 258, 24801, 9339, 5897, 258, 476, 9215, 681, 12239, 11286, 5990, 717, 28719, 5897, 3698, 1964, 691, 28399, 825, 1820, 2891, 16521, 25042, 1422, 333, 476, 272, 269, 17266, 7154, 25966, 8950, 14826, 476, 273, 269, 18471, 25042, 25966, 8950, 14826, 14744, 825, 7154, 26000, 937, 25507, 9272, 2891, 16521, 7154, 14826, 8442, 3418, 825, 7154, 9852, 1712, 26000, 937, 10142, 258, 24801, 9339, 5897, 258, 9215, 10323, 28421, 16249, 589, 717, 28719, 26827, 292, 5897, 3698, 7154, 9217, 8029, 825, 2220, 527, 7815, 815, 2715, 1477, 1038, 476, 272, 281, 2582, 8548, 1712, 267, 1477, 1038, 476, 273, 281, 5180, 8548, 1712, 1477, 825, 7684, 1477, 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 ]
[ 581, 9916, 2047, 689, 2890, 3712, 23888, 1310, 476, 277, 554, 540, 14713, 593, 31893, 10824, 610, 7403, 666, 581, 5340, 689, 1159, 8986, 676, 16116, 930, 13947, 689, 519, 31893, 10824, 609, 606, 26912, 6819, 8520, 5196, 519, 14041, 267, 552, 3052, 1421, 535, 4310, 21958, 269, 589, 2890, 3712, 3415, 568, 7768, 540, 513, 7848, 540, 2281, 609, 1896, 12214, 11775, 543, 519, 10548, 534, 8552, 2164, 689, 741, 3328, 5365, 563, 2467, 568, 513, 1390, 3747, 585, 519, 2079, 540, 2582, 2281, 2047, 1310, 18254, 540, 519, 5536, 267, 552, 3052, 1421, 538, 513, 2973, 4055, 1604, 610, 1426, 4393, 2029, 630, 2190, 1040, 24613, 689, 13557, 13753, 547, 519, 8446, 540, 2582, 16052, 8764, 725, 741, 2825, 2175, 610, 3395, 6724, 543, 2085, 616, 7164, 269, 11153, 2825, 6724, 899, 20659, 610, 26103, 1604, 267, 9063, 17032, 267, 2085, 267, 2837, 267, 6484, 267, 543, 1769, 786, 3310, 519, 2208, 540, 513, 2582, 2890, 6716, 1143, 543, 3976, 922, 23020, 5888, 3056, 547, 1083, 3809, 538, 922, 10548, 534, 8552, 269, 4475, 267, 585, 513, 3811, 8446, 540, 7164, 2281, 593, 513, 2249, 543, 8833, 1377, 621, 568, 1271, 547, 917, 952, 519, 2208, 8200, 703, 2858, 1778, 1808, 10408, 7648, 1317, 540, 1114, 14713, 2175, 543, 2528, 6502, 616, 1970, 610, 1256, 30050, 538, 922, 10548, 534, 8552, 607, 3379, 609, 519, 28507, 3604, 1063, 1114, 12490, 269, 9747, 267, 1114, 14713, 2175, 723, 547, 581, 20024, 538, 513, 2447, 6248, 6538, 609, 4704, 26034, 602, 5512, 519, 8446, 540, 4362, 2582, 2281, 563, 8201, 476, 275, 2982, 519, 1764, 540, 1114, 8770, 2923, 543, 14713, 2837, 540, 2582, 661, 269, 19546, 2281, 5196, 519, 10548, 534, 26034, 281, 10548, 534, 26034, 540, 661, 269, 19546, 6592, 1310, 14713, 538, 3044, 16927, 2173, 539, 1756, 630, 306, 16927, 268, 2793, 264, 693, 476, 1789, 9180, 630, 320, 1070, 6738, 538, 8770, 5420, 630, 2793, 264, 693, 476, 1789, 9180, 630, 321, 1070, 31796, 538, 590, 16927, 268, 2793, 693, 476, 4391, 9180, 630, 322, 1070, 543, 538, 19364, 693, 476, 4391, 9180, 630, 323, 1040, 634, 10548, 534, 26034, 540, 2582, 661, 269, 19546, 2281, 6027, 1310, 1896, 14713, 2175, 7282, 19364, 543, 2837, 1397, 13581, 3604, 269, 5637, 2923, 8428, 538, 741, 5888, 282, 19364, 630, 30560, 1188, 267, 667, 1301, 26684, 339, 267, 5125, 264, 5161, 540, 476, 276, 575, 17757, 821, 267, 476, 274, 575, 5779, 1349, 267, 543, 476, 1691, 575, 31893, 630, 604, 2556, 264, 829, 2148, 543, 590, 16927, 268, 2793, 630, 30560, 1188, 267, 667, 1301, 26684, 339, 267, 5125, 264, 568, 1500, 909, 540, 476, 1428, 575, 17757, 821, 267, 476, 274, 575, 13803, 1349, 267, 476, 277, 575, 9770, 17296, 267, 476, 272, 575, 7280, 267, 543, 476, 1691, 575, 31893, 630, 604, 2556, 264, 829, 2148, 269, 2271, 3748, 7648, 540, 6786, 689, 2119, 696, 2684, 534, 543, 4307, 2643, 23750, 710, 1472, 476, 272, 267, 9826, 4699, 6629, 272, 666, 581, 4767, 269, 7612, 476, 276, 10525, 519, 3310, 540, 14713, 2085, 540, 2582, 590, 269, 28603, 573, 529, 2281, 593, 741, 10548, 534, 8552, 282, 10548, 534, 26034, 941, 6592, 1310, 476, 277, 554, 5416, 1070, 476, 1789, 554, 6357, 1070, 476, 7918, 554, 6262, 1070, 543, 476, 7761, 554, 630, 323, 1040, 634, 10548, 534, 26034, 8858, 2147, 6786, 855, 8515, 7648, 540, 519, 476, 272, 267, 276, 4037, 4699, 6629, 272, 6512, 666, 581, 2938, 269, 901, 6512, 666, 581, 8655, 547, 8258, 21513, 540, 5027, 270, 11748, 31332, 13279, 269, 1280, 3476, 29164, 2053, 267, 519, 8515, 11081, 1813, 547, 513, 9178, 540, 5027, 270, 11748, 5834, 538, 519, 2281, 3308, 1944, 519, 18643, 5786, 540, 4551, 1282, 2208, 11775, 563, 8993, 999, 476, 275, 543, 476, 276, 1397, 602, 1114, 2825, 543, 14713, 6724, 723, 606, 1764, 593, 519, 2208, 540, 2582, 9190, 2281, 3056, 547, 2242, 1369, 519, 10548, 534, 26034, 269, 11048, 267, 519, 10548, 534, 26034, 1397, 2147, 22782, 609, 1152, 11029, 7648, 269, 1280, 713, 2601, 543, 1317, 540, 519, 1804, 1297, 540, 10548, 534, 26034, 602, 616, 2556, 585, 513, 6325, 2582, 16052, 8446, 267, 1317, 1585, 14713, 6724, 723, 547, 581, 3144, 883, 2272, 267, 1617, 21725, 8579, 1239, 6268, 2409, 616, 4294, 563, 763, 1198, 540, 1896, 14713, 2175, 7282, 2837, 267, 19364, 267, 543, 2528, 2085, 5196, 519, 8446, 6111, 729, 11567, 676, 7421, 2890, 3712, 23888, 585, 513, 5697, 2179, 540, 9190, 2249, 540, 645, 26808, 12490, 676, 670, 583, 572, 321, 2246, 1696, 620, 269, 630, 6321, 1040, 5015, 267, 519, 8760, 2702, 729, 8268, 538, 21341, 540, 2837, 267, 19364, 267, 543, 2528, 2085, 7648, 585, 513, 5697, 6538, 540, 9190, 1591, 540, 519, 12593, 853, 20942, 19905, 593, 513, 2582, 16052, 1377, 676, 4498, 345, 1696, 620, 269, 630, 4649, 1040, 670, 583, 572, 321, 2246, 1696, 620, 269, 543, 4498, 345, 1696, 620, 269, 4951, 602, 519, 7634, 540, 1896, 2249, 543, 12490, 1369, 513, 5697, 6538, 609, 1896, 14713, 2175, 568, 811, 7294, 269, 634, 8760, 540, 10894, 7648, 1369, 2582, 2281, 538, 519, 10548, 534, 26034, 1813, 547, 1114, 14713, 6724, 568, 554, 2086, 1229, 1813, 547, 606, 8476, 30846, 540, 10894, 7648, 3379, 609, 3604, 1063, 2249, 610, 12490, 269, 1358, 4951, 10148, 540, 519, 10342, 540, 1239, 2079, 1505, 540, 670, 7563, 585, 15285, 602, 1223, 711, 581, 1031, 585, 3811, 8760, 540, 713, 1950, 26945, 1239, 1305, 5627, 11684, 14713, 6724, 269, 4475, 267, 1617, 21725, 8760, 2409, 9862, 547, 519, 3498, 585, 6325, 2249, 15285, 616, 2556, 971, 607, 5721, 762, 25789, 300, 630, 10037, 1916, 15275, 2305, 676, 31283, 540, 5843, 7304, 16120, 15190, 18122, 454, 19859, 7304, 16120, 21655, 568, 513, 11684, 1907, 585, 519, 18572, 543, 7130, 540, 9190, 2281, 543, 8446, 540, 7164, 9190, 2281, 593, 513, 2582, 16052, 1377, 269, 29399, 1696, 620, 269, 630, 11025, 264, 1031, 713, 1935, 585, 519, 15285, 540, 2582, 9190, 2249, 543, 1063, 2208, 11775, 540, 1367, 2249, 269, 5015, 267, 519, 15285, 540, 6915, 16344, 916, 543, 28506, 2023, 545, 2281, 1223, 581, 6913, 676, 14236, 28342, 14137, 553, 5095, 630, 10695, 1040, 681, 7238, 338, 577, 1696, 620, 269, 630, 2190, 267, 476, 1789, 264, 4951, 519, 2447, 582, 19414, 5669, 8446, 1761, 540, 513, 3677, 3099, 540, 1896, 4551, 12490, 1459, 538, 513, 2973, 4055, 1604, 563, 763, 23993, 540, 28264, 538, 2198, 10316, 1436, 609, 10548, 534, 9196, 2636, 585, 519, 8446, 540, 476, 1724, 290, 25465, 1282, 9190, 606, 29440, 540, 476, 1724, 290, 2000, 629, 8215, 4551, 540, 28342, 14137, 553, 16682, 322, 839, 630, 10019, 1916, 5194, 3532, 1907, 585, 519, 2079, 540, 6211, 5439, 1510, 3441, 568, 9804, 29212, 1210, 715, 7644, 8955, 20832, 17929, 9804, 4229, 616, 1031, 547, 3180, 513, 30562, 2678, 13355, 9325, 2673, 676, 519, 1445, 540, 513, 5059, 8955, 11237, 269, 901, 4480, 666, 581, 1031, 547, 7001, 543, 13861, 6211, 5536, 971, 607, 15954, 267, 8290, 267, 543, 2281, 971, 607, 13803, 543, 1973, 2281, 607, 1134, 607, 2582, 4551, 269, 634, 4999, 540, 9804, 29212, 543, 10548, 534, 21655, 568, 3617, 585, 4974, 3846, 673, 3157, 1369, 2582, 2281, 269, 2473, 773, 1696, 620, 269, 14916, 6594, 2582, 9190, 543, 13803, 2281, 1282, 513, 3002, 1673, 523, 4405, 566, 1184, 269, 4438, 713, 5650, 267, 519, 1591, 1533, 689, 2661, 547, 4666, 666, 581, 16913, 538, 1483, 6066, 3842, 10548, 534, 21655, 630, 5952, 1040, 5015, 267, 519, 21800, 3498, 540, 9804, 29212, 538, 14966, 609, 10548, 534, 21655, 568, 513, 4028, 1505, 585, 556, 26047, 1652, 8446, 543, 7130, 540, 2582, 9190, 2281, 538, 25694, 2923, 630, 1704, 1916, 1103, 1840, 547, 7130, 540, 9190, 2249, 543, 12490, 630, 2889, 28648, 4925, 1070, 8446, 540, 14471, 2882, 519, 15285, 1063, 32541, 14471, 971, 607, 13803, 2281, 593, 2249, 543, 5924, 8833, 1377, 607, 1134, 607, 15285, 540, 605, 28648, 4925, 689, 13803, 2281, 269, 661, 20915, 4925, 8858, 538, 4334, 547, 605, 28648, 4925, 1591, 9245, 20583, 5114, 11623, 1765, 6716, 21304, 971, 607, 1591, 13540, 267, 1439, 22914, 1738, 1427, 545, 4918, 267, 610, 5738, 2873, 267, 799, 616, 1642, 574, 1243, 689, 1591, 11919, 269, 1280, 605, 28648, 4925, 22308, 5027, 543, 7654, 3063, 9606, 10095, 9842, 13232, 5027, 568, 1336, 1369, 519, 1591, 538, 9764, 1106, 269, 5221, 540, 519, 26654, 531, 1436, 543, 4061, 8901, 30846, 1369, 606, 1367, 13803, 1591, 543, 922, 1256, 3152, 1591, 2450, 538, 519, 2039, 540, 476, 1015, 32755, 538, 8006, 3379, 609, 519, 8901, 6571, 540, 827, 476, 272, 32755, 689, 513, 2890, 7304, 16120, 14764, 267, 621, 568, 711, 6190, 547, 21656, 513, 13803, 1591, 676, 1797, 540, 513, 2582, 10548, 534, 8552, 607, 3379, 609, 519, 9190, 2079, 4330, 4505, 563, 3528, 1797, 540, 10548, 534, 11837, 538, 30212, 543, 14694, 4287, 936, 519, 2898, 1591, 1896, 29296, 5672, 668, 26163, 971, 607, 5027, 270, 11748, 267, 5946, 267, 26307, 267, 610, 11950, 666, 581, 22297, 269, 5015, 267, 865, 1572, 7301, 2681, 13602, 1450, 585, 14839, 540, 741, 8901, 3892, 1369, 519, 1591, 630, 10436, 1040, 681, 7238, 338, 577, 1696, 620, 269, 630, 9262, 264, 4951, 10123, 602, 513, 15285, 540, 2582, 13803, 2281, 666, 581, 5340, 593, 513, 8833, 543, 2249, 1377, 609, 519, 3498, 540, 8579, 1239, 6268, 593, 1896, 3328, 10548, 534, 26034, 563, 763, 1184, 540, 13803, 1591, 6498, 543, 1689, 1282, 1591, 9979, 814, 1044, 14916, 6594, 896, 1585, 2825, 2175, 676, 1797, 540, 10548, 534, 21655, 693, 942, 268, 543, 2230, 9113, 9407, 7636, 1377, 676, 29399, 1696, 620, 269, 3958, 609, 713, 1935, 13540, 267, 16454, 337, 542, 267, 543, 31027, 636, 1223, 581, 4857, 630, 6434, 1700, 3445, 1916, 26222, 1436, 543, 22384, 540, 29318, 538, 670, 2678, 15119, 4223, 4631, 454, 763, 4527, 540, 1950, 2825, 10080, 2591, 519, 7020, 543, 8446, 540, 15451, 13596, 269, 1280, 3236, 952, 538, 1840, 547, 9190, 543, 13803, 2281, 267, 519, 3732, 3568, 2799, 5666, 540, 5214, 610, 22803, 5536, 538, 519, 1482, 2450, 2039, 607, 519, 15451, 2281, 267, 1287, 7130, 540, 9072, 568, 554, 2086, 1229, 563, 3519, 8019, 267, 547, 2697, 1979, 5328, 5536, 538, 519, 4527, 540, 705, 8438, 5214, 610, 22803, 1570, 267, 513, 840, 572, 3005, 540, 4143, 1979, 5328, 5536, 568, 2838, 269, 1452, 723, 547, 13604, 581, 4857, 2901, 607, 13596, 610, 607, 20027, 14471, 269, 17968, 267, 29208, 610, 19349, 2553, 616, 1034, 4941, 547, 7520, 519, 6602, 543, 31338, 540, 14471, 563, 763, 1353, 540, 681, 7238, 338, 577, 1696, 620, 269, 630, 2190, 267, 476, 1789, 267, 476, 10037, 264, 9672, 602, 519, 13345, 540, 1114, 1313, 1993, 1663, 2803, 12412, 4162, 1063, 705, 8438, 543, 1979, 5328, 9325, 607, 840, 572, 3005, 2337, 4227, 519, 942, 2877, 585, 519, 10548, 534, 8446, 1184, 540, 14471, 538, 20851, 11169, 896, 2973, 4055, 1604, 563, 3528, 1797, 540, 10548, 534, 3114, 9196, 21655, 267, 799, 10905, 10548, 534, 21655, 267, 28264, 21655, 267, 543, 3059, 9196, 513, 556, 26047, 1652, 6602, 543, 8446, 540, 6211, 8069, 1369, 1950, 2825, 14290, 1223, 581, 3254, 676, 17833, 553, 31582, 1696, 620, 269, 630, 11011, 1916, 2252, 519, 8417, 540, 1313, 1993, 1663, 2803, 1417, 4162, 568, 711, 6190, 2614, 585, 519, 6602, 540, 6211, 8764, 725, 621, 949, 581, 2556, 547, 946, 25859, 585, 741, 7020, 269, 2368, 24638, 24470, 6542, 519, 4527, 540, 31332, 7408, 610, 2027, 10894, 610, 679, 9195, 1738, 2534, 269, 26689, 2224, 1696, 620, 269, 4294, 519, 21800, 3498, 540, 28264, 28969, 543, 10548, 534, 21655, 585, 2582, 16052, 2079, 540, 4551, 269, 13689, 593, 519, 5697, 25859, 267, 28264, 28969, 1354, 10548, 534, 2079, 3091, 519, 7872, 540, 2661, 270, 1372, 611, 610, 1979, 5328, 270, 629, 8438, 15285, 267, 6466, 10548, 534, 21655, 20205, 3606, 31937, 7636, 1344, 585, 10408, 8446, 630, 3199, 1916, 10702, 267, 4101, 2825, 10080, 585, 6325, 7020, 540, 13596, 616, 519, 4028, 15392, 540, 15451, 2281, 538, 1216, 543, 1426, 585, 1072, 6161, 547, 10018, 2922, 6704, 1216, 543, 1426, 3106, 269, 25676, 27821, 1696, 620, 269, 630, 10844, 264, 14916, 6594, 519, 1764, 540, 4282, 7679, 3720, 630, 10175, 519, 5888, 540, 519, 1216, 5119, 543, 519, 1198, 540, 519, 7103, 10172, 538, 1216, 264, 543, 11117, 8955, 14001, 2584 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 13195, 3000, 5951, 7666, 728, 16982, 267, 1627, 13967, 267, 9058, 23726, 1177, 6771, 267, 543, 5918, 1177, 4073, 541, 1436, 31785, 5852, 563, 763, 1101, 9501, 305, 6375, 334, 817, 599, 729, 6069, 538, 476, 2735, 274, 676, 700, 1221, 6199, 267, 27526, 342, 6387, 267, 543, 700, 1495, 1598, 7238, 332, 267, 3954, 540, 632, 13017, 7238, 4771, 4659, 540, 15306, 852, 9609, 630, 306, 14954, 523, 1040, 1358, 23455, 5523, 1480, 16384, 294, 5196, 513, 476, 7785, 268, 836, 560, 668, 521, 12685, 591, 535, 12685, 332, 267, 543, 1031, 632, 22368, 547, 3713, 4550, 25993, 16384, 294, 538, 1216, 30889, 1081, 267, 30610, 20264, 20264, 20264, 269, 1133, 342, 833, 1082, 522, 1457, 6375, 334, 817, 904, 267, 971, 607, 20700, 26721, 267, 606, 9501, 305, 6375, 334, 817, 599, 568, 530, 629, 1168, 1863, 538, 3611, 513, 530, 629, 1168, 544, 578, 1815, 340, 933, 568, 711, 556, 336, 342, 1600, 585, 7020, 540, 632, 606, 1177, 344, 974, 269, 18827, 1177, 14567, 267, 632, 7403, 593, 9501, 305, 666, 581, 535, 578, 342, 15735, 556, 1177, 6066, 1659, 342, 12976, 632, 5464, 540, 13619, 340, 1177, 3268, 538, 694, 336, 20852, 807, 342, 11006, 2621, 1300, 340, 8705, 14567, 946, 14673, 342, 538, 632, 4879, 540, 585, 3236, 26889, 735, 933, 343, 525, 563, 300, 17703, 16210, 6261, 541, 600, 13011, 17183, 623, 13195, 3000, 1763, 28585, 267, 513, 1179, 807, 342, 12122, 540, 9501, 305, 267, 666, 581, 1031, 547, 21656, 1259, 619, 543, 588, 2931, 540, 1259, 619, 269, 14755, 11006, 737, 27282, 267, 12463, 4149, 11266, 666, 1659, 810, 1683, 1344, 593, 1785, 3120, 342, 2242, 538, 2474, 540, 1259, 518, 3020, 26863, 1145, 543, 31659, 4994, 269, 12463, 4149, 11266, 814, 1044, 813, 342, 1221, 1967, 14673, 2346, 344, 538, 7403, 540, 530, 760, 573, 13389, 543, 28230, 267, 595, 13748, 31398, 657, 1243, 2206, 933, 1395, 578, 9707, 540, 22130, 630, 274, 269, 278, 30755, 264, 607, 649, 2346, 607, 30562, 2678, 26863, 4073, 2096, 619, 563, 763, 1034, 1455, 1239, 7664, 568, 1759, 593, 632, 674, 637, 2908, 1106, 340, 13195, 267, 799, 1521, 632, 4646, 7188, 535, 12685, 916, 607, 12808, 267, 6024, 546, 1171, 624, 878, 1259, 619, 269, 901, 7664, 949, 759, 17703, 339, 538, 544, 17703, 339, 760, 933, 1502, 756, 933, 31659, 4994, 543, 26863, 1145, 642, 1177, 1132, 269, 1717, 267, 721, 340, 1177, 14567, 593, 14567, 835, 30889, 1081, 568, 11097, 514, 632, 2601, 20643, 1239, 2039, 269, 769, 16334, 342, 16210, 6261, 541, 600, 13011, 17183, 623, 13195, 3000, 1763, 28585, 267, 1079, 9501, 305, 14258, 616, 1035, 336, 342, 1600, 676, 17655, 513, 2039, 540, 2587, 342, 525, 693, 1079, 1114, 5951, 342, 1263, 1091, 267, 799, 759, 17703, 1206, 538, 513, 796, 28999, 933, 30889, 1081, 585, 1630, 325, 26863, 1145, 543, 31659, 4994, 563, 18404, 1177, 1300, 933, 533, 342, 11047, 976, 616, 721, 340, 1177, 14567, 1110, 1168, 539, 1210, 632, 631, 773, 22502, 632, 800, 563, 1103, 1082, 2665, 1100, 1033, 2967, 14954, 1110, 31974, 616, 813, 342, 1221, 267, 855, 632, 8596, 616, 524, 1177, 2320, 730, 585, 632, 1808, 813, 342, 1709, 267, 543, 1031, 24459, 11410, 578, 566, 11097, 514, 632, 524, 1177, 12299, 7455, 563, 3080, 540, 632, 1101, 1455, 813, 342, 10716, 540, 2627, 533, 13195, 3000, 16982, 21655, 729, 632, 6482, 540, 632, 26863, 1145, 630, 663, 31659, 4994, 264, 540, 23455, 5523, 18055, 325, 23829, 5145, 14954, 6289, 1993, 12685, 916, 593, 575, 578, 323, 26828, 269, 634, 16982, 14258, 6521, 547, 2362, 2587, 342, 525, 607, 632, 26863, 1145, 540, 632, 23455, 5523, 535, 12685, 332, 4679, 269, 901, 981, 335, 933, 568, 513, 1412, 18878, 9501, 305, 262, 6482, 563, 2691, 2362, 3432, 8343, 568, 5551, 267, 835, 666, 18055, 624, 606, 2587, 933, 1318, 581, 342, 578, 632, 16982, 1448, 630, 1372, 2587, 933, 540, 5934, 1201, 342, 624, 766, 1070, 543, 2268, 632, 1201, 342, 624, 2032, 2242, 693, 3611, 1448, 269, 901, 568, 632, 865, 2275, 1177, 14954, 1412, 323, 29174, 9501, 305, 262, 6482, 269, 634, 7664, 540, 632, 1239, 17648, 3611, 632, 2497, 540, 632, 535, 12685, 332, 1281, 711, 1689, 1713, 14567, 1282, 632, 6482, 563, 289, 4193, 3586, 8990, 454, 2691, 632, 25505, 540, 1079, 530, 580, 1343, 814, 547, 581, 5462, 267, 632, 552, 336, 342, 12685, 756, 8922, 4744, 27937, 3586, 1590, 581, 5462, 269, 898, 568, 632, 552, 336, 342, 12685, 756, 8922, 642, 1177, 826, 585, 632, 1587, 7117, 342, 582, 1304, 269, 901, 642, 1177, 826, 666, 1659, 810, 581, 1336, 1210, 632, 6422, 9501, 305, 6724, 543, 267, 607, 538, 1022, 2447, 545, 1177, 5114, 267, 621, 568, 632, 4744, 27937, 2557, 5258, 676, 632, 7681, 2557, 563, 2690, 771, 267, 513, 536, 7159, 530, 580, 663, 568, 1799, 11893, 342, 1242, 593, 632, 632, 868, 3757, 2627, 540, 632, 9501, 305, 7243, 1177, 269, 3414, 513, 29370, 342, 578, 1062, 267, 513, 30889, 1081, 24459, 632, 10352, 606, 1177, 344, 974, 568, 22280, 936, 632, 536, 7159, 1259, 518, 269, 1306, 632, 10352, 606, 1177, 344, 974, 25907, 632, 536, 7159, 530, 580, 663, 267, 606, 2333, 538, 9501, 305, 1129, 1177, 630, 10339, 5962, 538, 3210, 4559, 267, 681, 308, 264, 568, 4767, 269, 2991, 5551, 7681, 942, 267, 513, 30889, 1081, 11097, 719, 632, 10352, 606, 1177, 344, 974, 630, 639, 340, 1177, 14567, 632, 17280, 264, 568, 22280, 593, 632, 29370, 342, 340, 573, 923, 3611, 4744, 1539, 919, 632, 3808, 735, 933, 343, 1063, 536, 7159, 530, 580, 663, 543, 10352, 606, 1177, 344, 974, 269, 3767, 607, 632, 10352, 606, 1177, 344, 974, 4744, 1539, 919, 689, 632, 536, 7159, 530, 580, 663, 267, 513, 6175, 538, 9501, 305, 1129, 1177, 630, 10339, 5962, 538, 16982, 4559, 267, 681, 308, 264, 568, 4767, 269, 3245, 964, 324, 7681, 18011, 517, 2557, 3299, 25697, 264, 543, 4744, 27937, 3928, 18011, 4752, 2557, 3299, 737, 323, 1070, 632, 552, 336, 342, 12685, 756, 8922, 4744, 27937, 3586, 18011, 321, 4193, 3586, 3299, 918, 291, 264, 666, 581, 524, 1177, 322, 17703, 730, 563, 763, 27103, 1177, 9501, 305, 1129, 1177, 666, 581, 1163, 342, 7134, 676, 632, 552, 342, 624, 11424, 1412, 322, 19281, 9405, 262, 540, 632, 10071, 530, 697, 24459, 632, 2627, 533, 13195, 3000, 540, 632, 575, 578, 323, 1259, 518, 269, 901, 533, 13195, 3000, 666, 581, 1102, 342, 340, 10642, 676, 632, 1259, 518, 1175, 513, 1906, 6289, 10309, 2066, 632, 575, 578, 323, 1700, 338, 578, 1081, 8818, 1775, 4318, 269, 632, 536, 7159, 3940, 543, 1502, 756, 14567, 632, 10352, 3940, 267, 30610, 20264, 20264, 20264, 269, 645, 4193, 2306, 632, 1201, 342, 1254, 2587, 933, 1689, 3248, 2026, 9501, 305, 19777, 839, 832, 1795, 12685, 10028, 7403, 693, 1114, 5210, 267, 546, 1069, 17871, 606, 1177, 1736, 666, 581, 5340, 547, 3489, 513, 1732, 1620, 540, 632, 6594, 5872, 267, 30610, 20264, 20264, 20264, 269, 1635, 7900, 7403, 693, 1114, 5210, 267, 1462, 545, 1177, 14567, 1063, 476, 275, 543, 476, 2412, 11019, 290, 267, 621, 568, 1502, 756, 933, 547, 17370, 622, 7681, 543, 4744, 27937, 2557, 21635, 24459, 11852, 1648, 543, 632, 516, 2421, 3489, 546, 1069, 17871, 6724, 1651, 342, 24851, 11006, 1439, 1177, 6853, 267, 11006, 23811, 267, 18582, 2125, 1863, 1648, 543, 3002, 4390, 563, 303, 1515, 30150, 13423, 2100, 11837, 454, 2026, 9501, 305, 1659, 342, 3298, 556, 1177, 6066, 5464, 267, 13619, 340, 1177, 3268, 538, 694, 336, 20852, 807, 342, 11006, 2621, 666, 581, 546, 528, 965, 14567, 12290, 950, 14236, 632, 9290, 629, 12685, 640, 1063, 12489, 538, 513, 26889, 12122, 267, 30610, 20264, 20264, 20264, 269, 18827, 1177, 14567, 267, 621, 1659, 342, 3298, 632, 11837, 540, 13423, 8554, 607, 12489, 540, 7670, 6260, 13423, 8554, 530, 328, 2346, 581, 2404, 24459, 606, 22887, 18050, 1129, 1177, 3379, 547, 9570, 1698, 20643, 540, 15025, 1138, 17703, 339, 10389, 14567, 563, 300, 8568, 533, 13195, 3000, 16982, 454, 13146, 14567, 267, 632, 516, 814, 1044, 606, 1719, 538, 6419, 2627, 533, 342, 11047, 976, 269, 1452, 556, 336, 342, 790, 544, 831, 807, 9749, 24459, 530, 1618, 2942, 6419, 15449, 629, 12685, 640, 267, 513, 3959, 3611, 814, 593, 14567, 2487, 14567, 1044, 1500, 1285, 2967, 342, 20643, 24459, 632, 4070, 540, 1558, 600, 831, 807, 9749, 563, 268, 25756, 9300, 454, 268, 16334, 342, 16210, 268, 12407, 13011, 2627, 533, 13195, 3000, 16982, 454, 268, 17183, 533, 13195, 3000, 4073, 541, 527, 517, 454, 268, 31515, 538, 533, 13195, 5733, 454, 268, 16511, 1177, 1242, 2627, 533, 13195, 3000, 454, 268, 590, 269, 2098, 1263, 282, 645, 2967, 2346, 1618, 520, 267, 12358, 7236, 336, 933, 282, 14208, 267, 14208, 6261, 14241, 282, 962, 784, 267, 8230, 6874, 6614, 630, 1001, 275, 1040, 834, 301, 534, 558, 831, 807, 9749, 8476, 2627, 533, 13195, 3000, 16982, 585, 1979, 578, 690, 545, 1177, 543, 2447, 545, 1177, 15392, 813, 342, 10716, 2668, 6314, 545, 1177, 5980, 17352, 269, 476, 6246, 630, 1015, 2567, 476, 31079, 277, 1700, 24833, 273, 269, 645, 756, 13892, 281, 1001, 273, 2419, 17876, 341, 907, 6078, 269, 20981, 278, 303, 269, 8222, 281, 1015, 269, 9818, 280, 14727, 274, 5425, 2568, 275, 8064, 288, 269, 20163, 476, 25090, 5392, 274, 9834, 563, 268, 30781, 5451, 933, 345, 5937, 6403, 1794, 267, 20844, 645, 5919, 25661, 17144, 5336, 691, 27713, 267, 21293, 282, 25661, 17144, 5336, 691, 27713, 267, 21280, 2946, 631, 5919, 9919, 11312, 342, 3385, 267, 21220, 325, 517, 810, 282, 14022, 1168, 342, 525, 267, 13937, 1706, 282, 9484, 14243, 342, 1386, 320, 267, 16907, 10937, 282, 21220, 11232, 11276, 534, 267, 962, 1722, 282, 918, 7564, 2346, 267, 631, 11986, 1168, 630, 1220, 279, 1040, 834, 303, 13195, 3000, 545, 30080, 270, 10870, 12458, 340, 23282, 663, 23495, 1127, 24459, 24046, 13804, 16587, 14114, 10364, 1177, 11314, 2668, 3911, 1177, 342, 269, 476, 275, 630, 273, 2567, 476, 1708, 1700, 276, 269, 8222, 281, 1015, 269, 1911, 273, 4882, 332, 2346, 269, 1220, 10384, 6795, 275, 269, 554, 323, 342, 281, 9083, 8618, 270, 14690, 6349, 269, 20163, 476, 8687, 280, 4792, 6187, 563, 268, 13660, 267, 2871, 534, 2473, 21628, 282, 5651, 328, 267, 570, 1115, 340, 10202, 282, 30554, 25431, 267, 5760, 328, 13403, 282, 590, 7159, 334, 267, 1744, 514, 282, 30738, 19085, 267, 670, 10098, 13403, 282, 28635, 1695, 20076, 267, 20353, 27495, 630, 1001, 271, 1040, 834, 18128, 2064, 540, 530, 665, 1177, 1242, 2627, 533, 13195, 3000, 8476, 11275, 334, 19945, 6776, 1177, 1198, 538, 6289, 617, 7416, 5044, 2668, 2561, 342, 269, 4284, 269, 32731, 269, 476, 9834, 630, 279, 2567, 476, 32146, 280, 1428, 269, 645, 756, 13892, 281, 1001, 271, 25721, 4942, 299, 907, 9834, 327, 4489, 276, 291, 269, 8222, 281, 1015, 269, 11793, 274, 270, 272, 269, 18357, 5325, 273, 277, 563, 268, 2098, 1263, 267, 1744, 17703, 523, 282, 24204, 267, 2473, 807, 282, 4521, 267, 30733, 4211, 515, 2426, 282, 18681, 267, 962, 908, 282, 13535, 267, 681, 14241, 282, 20550, 327, 267, 2473, 10224, 268, 5226, 344, 523, 282, 14208, 267, 14208, 6261, 14241, 282, 962, 784, 267, 8230, 6874, 6614, 630, 1001, 274, 1040, 834, 23917, 13829, 540, 30080, 26128, 10276, 327, 2331, 2627, 533, 13195, 3000, 16982, 1759, 593, 1114, 807, 342, 5123, 6482, 2668, 11576, 832, 543, 2920, 340, 2209, 645, 281, 6314, 545, 1177, 269, 476, 12293, 281, 476, 12208, 279, 1700, 13647, 274, 269, 8222, 281, 1015, 269, 6200, 277, 10768, 4732, 333, 321, 269, 1001, 273, 269, 6021, 269, 5881, 274, 563, 268, 3687, 327, 670, 773, 335, 267, 12794, 282, 7736, 334, 267, 570, 1846, 1755, 282, 918, 9007, 267, 918, 12298, 282, 932, 1731, 2801, 267, 631, 12011, 25431, 282, 13690, 267, 1684, 11860, 344, 684, 282, 26232, 600, 3120, 267, 1744, 334, 515, 328, 282, 28635, 600, 3120, 267, 962, 15120, 15843, 282, 570, 9564, 5984, 267, 661, 328, 24734, 630, 1220, 278, 1040, 834, 288, 530, 665, 1177, 1242, 2627, 533, 13195, 3000, 16982, 1759, 6375, 657, 16428, 585, 632, 7020, 540, 2013, 514, 538, 11465, 342, 330, 2668, 2233, 269, 15306, 852, 269, 5917, 269, 631, 831, 269, 476, 279, 630, 275, 2567, 476, 28664, 1700, 24783 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 258, 14171, 519, 3970, 547, 20581, 540, 5888, 540, 3252, 692, 296, 729, 2542, 713, 2243, 23423, 540, 1269, 7268, 7562, 315, 15132, 315, 7562, 315, 15132, 315, 26984, 315, 15132, 315, 7562, 7565, 343, 7751, 543, 24076, 1705, 621, 2911, 827, 875, 547, 6961, 519, 6228, 540, 519, 3970, 780, 1103, 2489, 267, 952, 596, 2811, 2016, 513, 1599, 1269, 325, 3287, 29408, 875, 798, 596, 2638, 585, 519, 6228, 540, 4399, 3916, 315, 3916, 1080, 3709, 333, 29540, 1422, 13727, 348, 1422, 8974, 3630, 576, 18950, 325, 315, 15132, 535, 1422, 15132, 1422, 26984, 1422, 15132, 535, 264, 13925, 333, 20728, 346, 2053, 3686, 263, 343, 7751, 2496, 2691, 1269, 325, 3287, 264, 815, 1422, 7562, 3287, 29408, 952, 519, 3970, 1269, 322, 259, 6818, 2073, 1287, 1269, 325, 6262, 7751, 1590, 3160, 1269, 322, 259, 865, 1269, 322, 815, 476, 271, 259, 1318, 286, 1809, 3884, 1405, 621, 849, 2009, 602, 519, 3970, 3085, 1405, 2291, 2496, 7775, 568, 621, 519, 2013, 602, 950, 596, 723, 513, 27865, 517, 1227, 13302, 1599, 602, 781, 22112, 2630, 676, 930, 1871, 267, 1287, 4399, 3916, 315, 3916, 1080, 3709, 333, 29540, 315, 13727, 348, 1422, 8974, 3630, 576, 18950, 325, 1422, 15132, 535, 1422, 15132, 1422, 26984, 1422, 15132, 535, 264, 13925, 333, 20728, 346, 2053, 3686, 263, 343, 7751, 568, 3989, 543, 8209, 513, 1871, 602, 25389, 519, 3830, 1269, 325, 3287, 264, 815, 1535, 259, 2496, 17764, 267, 543, 607, 513, 2427, 4063, 267, 568, 972, 513, 1732, 1259, 540, 3954, 7627, 1269, 325, 3287, 7751, 7768, 609, 3294, 1269, 333, 259, 2053, 2496, 8894, 2005, 781, 1419, 20922, 676, 1269, 325, 3867, 263, 333, 264, 23201, 1107, 1109, 295, 753, 700, 1495, 5658, 9484, 476, 1015, 1412, 1556, 693, 476, 1724, 281, 7906, 454, 257, 529, 972, 513, 1732, 1259, 540, 3954, 7627, 1269, 325, 3287, 7751, 7768, 609, 3294, 1269, 333, 259, 2053, 8119, 910, 1252, 1227, 267, 1269, 325, 3867, 263, 333, 14587, 630, 343, 29408, 855, 602, 1131, 581, 3833, 14845, 952, 4294, 547, 25066, 338, 1862, 543, 621, 1522, 581, 11821, 609, 12045, 10035, 269, 594, 15475, 835, 1058, 581, 2111, 547, 18505, 689, 2796, 269, 1107, 1109, 297, 269, 631, 269, 9484, 476, 1015, 1412, 1556, 693, 476, 1724, 281, 7918, 454, 1103, 17664, 7085, 1731, 534, 781, 2626, 547, 519, 2243, 596, 2811, 13288, 547, 267, 646, 1281, 2491, 875, 547, 6961, 602, 519, 3970, 6818, 630, 514, 519, 2013, 1269, 325, 7807, 7562, 259, 1040, 1107, 1109, 295, 753, 700, 1495, 5658, 9484, 476, 1015, 1412, 1556, 693, 476, 1724, 281, 4649, 454, 31800, 1695, 267, 594, 2219, 1269, 325, 3867, 263, 333, 264, 4151, 2356, 6763, 585, 519, 1269, 333, 259, 628, 12045, 610, 267, 538, 29890, 267, 9870, 519, 1599, 547, 519, 1269, 333, 259, 628, 1379, 269, 1107, 1109, 295, 9007, 932, 879, 9484, 476, 1015, 1412, 1556, 693, 476, 1724, 281, 4649, 454, 9802, 594, 1904, 585, 519, 10035, 1269, 325, 17353, 15132, 562, 4151, 602, 594, 723, 2938, 593, 930, 14026, 269, 1107, 1109, 299, 867, 318, 293, 18288, 4455, 476, 2420, 1412, 1724, 693, 476, 280, 281, 7367, 692, 2026, 5018, 538, 519, 8292, 267, 17664, 781, 2626, 538, 519, 5532, 2243, 1281, 6961, 602, 519, 3970, 6818, 269, 1809, 609, 2463, 547, 707, 2063, 6085, 267, 621, 1522, 711, 581, 7805, 269, 1924, 594, 2491, 780, 1103, 2489, 267, 950, 596, 723, 4399, 3916, 315, 3916, 1080, 3709, 333, 29540, 1422, 13727, 348, 1422, 8974, 3630, 576, 18950, 325, 315, 15132, 535, 1422, 15132, 1422, 26984, 1422, 15132, 535, 264, 13925, 333, 20728, 346, 2053, 3686, 263, 343, 29408, 513, 3044, 1259, 540, 6029, 713, 6818, 568, 547, 2965, 2015, 519, 5311, 1269, 325, 3287, 1070, 535, 6600, 3287, 24270, 535, 3867, 263, 274, 14587, 630, 343, 1070, 3267, 259, 543, 865, 593, 269, 3973, 585, 1022, 6378, 1535, 267, 713, 568, 1175, 513, 5311, 540, 1483, 2338, 269, 1656, 1287, 596, 798, 8726, 596, 1131, 798, 585, 602, 5311, 540, 1483, 2338, 780, 2467, 568, 519, 7872, 602, 972, 786, 581, 32753, 1114, 2623, 585, 1114, 4358, 1535, 269, 1403, 602, 781, 519, 2013, 267, 1287, 596, 1522, 723, 547, 581, 18854, 1399, 269, 12344, 798, 1945, 1114, 267, 610, 5310, 2736, 621, 909, 883, 2665, 543, 1869, 2015, 519, 5311, 1657, 269, 898, 781, 513, 3787, 2182, 547, 2161, 630, 15130, 2489, 2409, 538, 6128, 568, 2141, 1360, 2182, 6393, 3412, 14032, 569, 267, 17664, 1705, 713, 269, 1261, 849, 7074, 602, 950, 596, 621, 4733, 513, 1906, 2053, 267, 519, 5311, 786, 27865, 517, 1227, 6175, 269, 1656, 621, 781, 22112, 269, 1924, 621, 1590, 27721, 780, 8894, 296, 1294, 1631, 269, 594, 729, 8385, 11821, 1317, 594, 4769, 1405, 917, 602, 952, 513, 5311, 568, 27865, 4577, 543, 22112, 267, 621, 1590, 27721, 269, 1656, 7064, 585, 519, 2626, 547, 519, 811, 2489, 2013, 269, 1809, 1018, 952, 519, 1599, 14251, 919, 267, 899, 952, 1269, 325, 3287, 264, 815, 1422, 2765, 346, 272, 2410, 272, 14870, 4151, 18121, 343, 1422, 928, 336, 476, 272, 267, 476, 273, 259, 1040, 3657, 972, 1022, 2553, 547, 6218, 519, 3970, 286, 1107, 1109, 295, 9007, 932, 879, 9484, 476, 1015, 1412, 1556, 693, 476, 1691, 281, 4391, 454, 287, 295, 9007, 281, 594, 6415, 7168, 2386, 596, 8359, 14605, 910, 607, 602, 1599, 781, 27952, 5311, 1281, 711, 27721, 630, 3963, 798, 594, 1589, 713, 286, 1403, 621, 4780, 2471, 267, 621, 786, 3592, 2141, 27721, 547, 513, 6378, 1448, 910, 543, 621, 814, 9039, 1040, 1809, 15475, 621, 729, 1269, 325, 3287, 264, 815, 1422, 2765, 346, 272, 2410, 273, 14870, 20954, 4171, 27952, 5311, 1281, 27721, 269, 8786, 267, 972, 616, 2409, 269, 594, 1131, 4363, 2921, 513, 1576, 593, 2079, 1101, 267, 865, 602, 596, 917, 811, 2409, 827, 519, 19427, 540, 9696, 269, 2290, 666, 6961, 602, 585, 713, 1599, 267, 972, 568, 693, 2547, 835, 8884, 538, 799, 519, 5311, 568, 849, 27865, 821, 543, 22112, 267, 543, 602, 972, 568, 513, 6378, 1448, 269, 1809, 972, 1862, 1107, 1109, 332, 12089, 4118, 9484, 476, 1015, 1412, 1556, 693, 476, 1691, 281, 3393, 454, 24280, 1269, 325, 6600, 3287, 4297, 8961, 1269, 325, 6600, 6600, 3287, 4297, 7751, 543, 596, 786, 1205, 707, 2626, 269, 1107, 1109, 4517, 28584, 12832, 15614, 9484, 476, 1015, 1412, 1556, 693, 476, 1691, 281, 3393, 454, 1862, 616, 1082, 824, 562, 1385, 338, 602, 596, 949, 723, 547, 946, 269, 2368, 3252, 616, 3274, 27690, 269, 1107, 1109, 332, 12089, 4118, 9484, 476, 1015, 1412, 1556, 693, 476, 1691, 281, 3393, 692, 2690, 2318, 1269, 343, 8961, 1269, 271, 3436, 1422, 7562, 3287, 264, 3436, 1535, 8961, 865, 519, 12055, 730, 5311, 568, 13302, 543, 22112, 269, 6270, 513, 5311, 2141, 814, 513, 3970, 269, 6684, 585, 2942, 1269, 343, 259, 630, 21955, 602, 519, 5311, 568, 2810, 543, 22112, 780, 268, 0, 1012, 1548, 568, 513, 9511, 2496, 2162, 4985, 692, 309, 10725, 1239, 5161, 540, 22762, 1845, 971, 607, 2798, 267, 3515, 267, 29977, 267, 10580, 267, 543, 865, 593, 269, 6201, 540, 6152, 1239, 616, 5656, 267, 9897, 267, 7841, 1811, 267, 10473, 267, 543, 865, 593, 780, 2162, 16387, 16166, 692, 10501, 557, 692, 288, 7455, 568, 513, 6024, 267, 835, 8820, 3337, 269, 1411, 666, 23074, 922, 2798, 1210, 513, 2582, 9936, 269, 589, 7455, 949, 2874, 3294, 540, 824, 14258, 267, 585, 1383, 7455, 12415, 780, 10501, 557, 10126, 692, 272, 8820, 12166, 1843, 585, 8204, 513, 6024, 5057, 540, 513, 7455, 1210, 24267, 31992, 543, 4214, 2409, 269, 898, 568, 519, 14724, 1106, 540, 513, 7455, 780, 11592, 692, 271, 8820, 12166, 18642, 267, 8204, 513, 2990, 780, 305, 532, 692, 288, 8258, 568, 513, 6806, 7455, 267, 2495, 602, 922, 1376, 543, 1439, 2798, 616, 519, 1482, 780, 306, 16577, 692, 288, 2627, 568, 513, 6024, 267, 476, 273, 8820, 3337, 269, 4706, 16538, 10465, 267, 799, 24508, 621, 689, 12808, 2230, 267, 568, 3989, 676, 513, 2582, 8258, 269, 589, 2627, 949, 2270, 4642, 610, 811, 9475, 267, 782, 540, 799, 616, 849, 3989, 1210, 14034, 780, 1012, 16387, 2203, 692, 763, 1739, 6810, 1397, 519, 15796, 585, 519, 9511, 2203, 269, 634, 12222, 616, 711, 29882, 780, 2162, 5178, 529, 585, 519, 9511, 2203, 692, 9336, 9511, 568, 3989, 609, 2463, 547, 513, 11282, 4704, 780, 10481, 2210, 1845, 666, 581, 19040, 2687, 547, 741, 7516, 780, 1892, 8672, 281, 476, 271, 8820, 9511, 692, 1892, 4354, 557, 281, 476, 272, 8820, 9511, 692, 1892, 17183, 281, 476, 273, 8820, 9511, 692, 1892, 20348, 281, 476, 274, 8820, 9511, 630, 2254, 3769, 538, 519, 6516, 2020, 2971, 4354, 1407, 692, 763, 6516, 2982, 519, 15796, 585, 519, 7455, 22762, 1845, 780, 2971, 5080, 5865, 692, 306, 16577, 16166, 1384, 303, 2255, 692, 288, 15429, 568, 513, 2627, 1759, 593, 513, 2582, 8258, 267, 3976, 711, 2348, 1022, 9475, 780, 4467, 22683, 303, 2255, 692, 288, 12432, 15429, 568, 513, 2489, 2627, 602, 568, 1759, 593, 606, 16538, 15429, 543, 4642, 610, 811, 6418, 15649, 269, 634, 6418, 15649, 2099, 9475, 1369, 519, 2627, 269, 634, 15429, 14034, 1058, 711, 12969, 780, 763, 6516, 2982, 519, 15796, 585, 519, 2627, 22762, 1845, 780, 2971, 16387, 27960, 692, 763, 6516, 2982, 519, 15796, 585, 27960, 540, 22762, 1845, 780, 1012, 5871, 22762, 1845, 692, 2791, 723, 1569, 547, 519, 1739, 4122, 1031, 22762, 1845, 269, 1280, 1142, 540, 519, 22762, 1845, 267, 972, 568, 513, 3095, 547, 519, 12051, 1505, 547, 1711, 519, 9511, 780, 11592, 692, 288, 2582, 1448, 4087, 269, 6423, 2387, 10481, 5852, 15542, 800, 15311, 22056, 11592, 27471, 18118, 692, 288, 1899, 3989, 676, 4010, 476, 273, 2798, 269, 6423, 2387, 10481, 5852, 15542, 800, 15311, 22056, 18118, 27471, 28139, 1467, 692, 288, 1899, 3989, 676, 2789, 2798, 780, 8201, 476, 272, 269, 12443, 1467, 454, 28139, 1467, 305, 532, 692, 288, 1899, 3989, 676, 2789, 2798, 8204, 513, 8258, 282, 3976, 519, 1376, 543, 519, 1439, 1448, 616, 2141, 519, 1482, 780, 8201, 476, 273, 269, 12443, 1467, 8258, 454, 290, 22511, 692, 5472, 540, 922, 2798, 616, 4092, 593, 513, 5858, 609, 513, 4099, 1448, 543, 513, 8953, 780, 8201, 476, 274, 269, 17781, 692, 288, 5858, 666, 581, 3989, 538, 1079, 2081, 1384, 290, 1844, 983, 9095, 692, 5472, 540, 922, 2798, 616, 4092, 593, 513, 5858, 609, 513, 4099, 1448, 543, 513, 8953, 269, 634, 9095, 6238, 693, 513, 1376, 5086, 543, 7475, 693, 606, 1439, 5086, 780, 8201, 476, 275, 269, 8562, 983, 9095, 692, 288, 9764, 9095, 666, 581, 3989, 538, 1614, 2081, 1384, 292, 961, 15199, 692, 5472, 540, 922, 2798, 616, 4092, 593, 606, 31753, 3989, 676, 513, 4099, 1448, 267, 10859, 2173, 1994, 7852, 3259, 267, 10859, 15902, 528, 7852, 3259, 543, 513, 10047, 5086, 780, 8201, 476, 276, 269, 11875, 15199, 692, 2304, 31753, 666, 581, 2813, 1210, 2387, 10481, 5852, 15542, 800, 15311, 22056, 292, 961, 15199, 27471, 292, 961, 18967, 673, 9095, 692, 5472, 540, 922, 2798, 616, 4092, 593, 606, 31753, 609, 513, 4099, 1448, 267, 10859, 2173, 1994, 7852, 267, 10859, 15902, 528, 7852, 543, 513, 10047, 5086, 269, 634, 9095, 6238, 693, 513, 1376, 5086, 543, 7475, 693, 606, 1439, 5086, 780, 8201, 476, 277, 269, 11875, 18967, 673, 9095, 454, 6635, 322, 6512, 692, 5472, 540, 922, 2798, 616, 4092, 593, 519, 6512, 609, 513, 5934, 8953, 543, 513, 5021, 8953, 689, 519, 1445, 1448, 269, 634, 9095, 6512, 6238, 693, 513, 1376, 5086, 543, 7475, 693, 606, 1439, 5086, 780, 8201, 476, 278, 269, 20211, 6512, 454, 289, 2432, 692, 288, 4216, 609, 513, 4087, 630, 11592, 1070, 513, 8700, 267, 513, 4463, 267, 543, 513, 3178, 269, 645, 2432, 568, 1419, 1031, 607, 513, 3808, 532, 4216, 585, 811, 1950, 22762, 1845, 780, 8201, 476, 279, 269, 645, 2432, 454, 303, 2255, 692, 288, 15429, 568, 513, 2627, 609, 606, 16538, 568, 1759, 593, 513, 8258, 269, 898, 814, 1100, 9475, 780, 4467, 22683, 303, 2255, 692, 288, 12432, 15429, 568, 513, 2627, 1759, 593, 606, 16538, 15429, 543, 4642, 610, 811, 9703, 15649, 269, 634, 15429, 14034, 798, 711, 12969, 780, 28139, 12455, 692, 288, 20372, 568, 513, 2627, 799, 814, 606, 16538, 543, 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 ]
[ 521, 583, 3279, 1790, 527, 10440, 630, 289, 3291, 7290, 28005, 976, 264, 543, 519, 705, 327, 573, 327, 10397, 1790, 527, 10440, 630, 874, 3342, 4451, 543, 6530, 1916, 8450, 849, 630, 3725, 10589, 8847, 994, 292, 2738, 609, 281, 1772, 327, 12534, 599, 690, 514, 524, 573, 745, 3966, 7701, 563, 15507, 1336, 476, 273, 2835, 543, 2984, 5627, 681, 1575, 534, 7701, 267, 681, 19476, 3966, 663, 5953, 282, 630, 680, 584, 1023, 1331, 281, 681, 1575, 534, 663, 553, 267, 681, 19476, 3966, 663, 5953, 338, 1040, 1411, 666, 849, 4945, 547, 519, 2407, 7650, 5627, 2296, 21849, 32461, 269, 12989, 616, 1463, 6402, 585, 519, 1034, 4143, 4930, 912, 291, 327, 2459, 777, 3385, 630, 26877, 755, 3603, 264, 630, 2421, 10469, 269, 1284, 698, 18649, 7203, 3385, 10067, 320, 634, 549, 994, 19723, 572, 476, 5611, 910, 634, 9452, 540, 715, 684, 681, 19476, 3966, 663, 5953, 630, 13202, 777, 611, 752, 3315, 5953, 14269, 264, 2999, 1496, 6637, 476, 1556, 910, 808, 541, 5953, 966, 698, 8615, 630, 24874, 6520, 22708, 763, 4279, 20048, 1834, 540, 6844, 13757, 630, 2421, 10469, 269, 30721, 684, 17166, 611, 1177, 264, 0, 32391, 5004, 3590, 454, 288, 11485, 5004, 6176, 3590, 630, 305, 300, 3041, 264, 568, 606, 7471, 2780, 1344, 1062, 1031, 547, 14919, 1981, 1239, 543, 547, 948, 3375, 15670, 6218, 1870, 4220, 269, 901, 1344, 2882, 1981, 4598, 267, 4027, 3800, 543, 1981, 2359, 269, 6201, 540, 6740, 1344, 1331, 2530, 20820, 3800, 267, 3959, 2418, 267, 5638, 540, 1991, 6811, 543, 4143, 6142, 4507, 563, 4002, 12032, 540, 713, 1576, 267, 5171, 786, 581, 2111, 547, 912, 268, 13760, 519, 17950, 540, 1981, 2359, 543, 1981, 2359, 1949, 563, 268, 13760, 519, 10083, 267, 2497, 543, 3483, 540, 18869, 476, 20542, 876, 563, 268, 14674, 519, 1981, 2359, 1184, 454, 268, 11485, 2359, 1107, 14362, 543, 4808, 2676, 268, 11485, 4879, 2035, 454, 268, 11485, 4879, 2553, 454, 268, 22948, 543, 519, 5542, 540, 1981, 4879, 2553, 563, 268, 16842, 1870, 30840, 454, 268, 21253, 2225, 540, 3210, 547, 1689, 454, 268, 4197, 543, 2359, 540, 1981, 0, 7922, 785, 1145, 538, 32037, 519, 4622, 269, 32084, 519, 3751, 476, 1708, 273, 268, 1321, 268, 1015, 454, 7922, 785, 1145, 538, 32037, 519, 4622, 28951, 912, 288, 2565, 1957, 267, 849, 1634, 607, 513, 2565, 1557, 610, 2565, 2079, 1957, 267, 568, 513, 1826, 540, 4081, 1603, 538, 799, 519, 5856, 27786, 543, 23607, 513, 1257, 610, 960, 540, 3332, 267, 1419, 513, 1433, 267, 4670, 267, 610, 11247, 269, 634, 3804, 540, 513, 2565, 1957, 568, 547, 4497, 609, 519, 1257, 610, 960, 593, 513, 4514, 1377, 543, 1683, 513, 13857, 2079, 540, 922, 4798, 267, 6698, 267, 543, 10096, 563, 2414, 2328, 513, 2565, 1957, 267, 519, 5856, 1590, 1101, 5702, 1224, 543, 5659, 519, 1257, 610, 960, 538, 2243, 269, 901, 3340, 6297, 3007, 547, 1469, 543, 513, 9488, 1620, 540, 519, 1257, 610, 960, 781, 2796, 543, 4282, 269, 634, 5856, 1058, 2015, 519, 2278, 781, 3483, 267, 519, 5304, 585, 799, 519, 1257, 610, 960, 729, 5497, 267, 543, 519, 3140, 543, 2686, 2796, 538, 799, 621, 729, 2813, 563, 1103, 1840, 547, 7421, 519, 1257, 610, 960, 267, 513, 2565, 1957, 1058, 849, 1683, 513, 2123, 7664, 610, 6268, 540, 519, 1257, 610, 960, 269, 901, 949, 4125, 7114, 519, 9342, 543, 12755, 540, 519, 1257, 610, 960, 267, 7234, 922, 6286, 610, 10083, 547, 4207, 2152, 267, 610, 5356, 513, 2189, 5133, 593, 922, 4798, 610, 6835, 563, 2414, 1489, 741, 2079, 543, 6268, 267, 519, 5856, 1058, 849, 6451, 2963, 689, 519, 1257, 610, 960, 267, 607, 1134, 607, 689, 824, 2959, 971, 607, 6281, 3332, 610, 1382, 269, 901, 666, 948, 547, 7794, 519, 5856, 781, 4661, 543, 1683, 513, 811, 1134, 25454, 2079, 540, 519, 1257, 610, 960, 563, 1103, 2474, 540, 2497, 267, 513, 2565, 1957, 3335, 5205, 513, 3044, 1557, 3898, 267, 609, 606, 4367, 267, 1560, 9433, 267, 543, 513, 3932, 269, 769, 519, 4367, 267, 519, 5856, 1058, 6338, 519, 1257, 610, 960, 543, 1683, 930, 4282, 1344, 593, 922, 2796, 543, 4644, 269, 634, 1560, 9433, 1058, 1142, 1445, 593, 513, 1808, 2460, 540, 519, 1257, 610, 960, 543, 1683, 513, 2143, 2079, 540, 602, 2460, 269, 634, 3932, 1058, 17412, 519, 1292, 2798, 540, 519, 1957, 543, 1683, 513, 3803, 6268, 610, 7664, 540, 519, 1257, 610, 960, 563, 2080, 568, 606, 1383, 540, 513, 2565, 1957, 3732, 593, 519, 3209, 834, 2414, 23703, 513, 631, 20689, 257, 676, 22489, 10557, 912, 257, 2414, 23703, 513, 631, 20689, 257, 568, 513, 5929, 3209, 602, 7710, 519, 1950, 4798, 540, 5198, 267, 14882, 267, 543, 21440, 538, 519, 12213, 3162, 1282, 519, 476, 4350, 271, 338, 269, 18838, 676, 22489, 10557, 267, 519, 3209, 6645, 519, 1650, 540, 513, 1762, 8004, 267, 27533, 5685, 577, 267, 543, 1200, 2833, 3395, 909, 538, 519, 1507, 4884, 540, 2904, 18474, 267, 17665, 269, 634, 3209, 814, 1044, 4922, 26916, 585, 922, 24575, 540, 519, 10168, 543, 14882, 602, 941, 11342, 538, 519, 3162, 1282, 713, 942, 1974, 267, 543, 585, 922, 24575, 540, 5900, 16307, 5685, 577, 267, 513, 15818, 945, 6763, 909, 585, 5126, 543, 7862, 538, 519, 3068, 540, 14488, 563, 28694, 24225, 476, 272, 912, 3080, 540, 519, 2101, 4798, 540, 834, 2414, 23703, 513, 631, 20689, 257, 568, 519, 1909, 540, 5198, 543, 14882, 538, 5935, 519, 2729, 540, 519, 3197, 269, 10801, 519, 3209, 267, 10557, 3096, 519, 1915, 540, 8751, 20484, 267, 513, 3109, 812, 7301, 569, 15034, 540, 22149, 267, 547, 9414, 519, 10168, 543, 14882, 602, 941, 865, 11342, 538, 519, 3162, 1282, 519, 476, 4350, 271, 338, 269, 6736, 519, 1249, 602, 8751, 568, 5693, 17608, 267, 646, 568, 8572, 547, 1205, 513, 4023, 4693, 1317, 540, 1010, 5198, 267, 543, 646, 568, 6038, 1336, 16944, 543, 30992, 547, 2669, 269, 901, 10071, 5713, 607, 513, 3532, 16555, 593, 519, 2620, 5498, 730, 10168, 602, 11478, 538, 519, 3162, 693, 519, 942, 267, 543, 519, 1764, 621, 1185, 593, 519, 2729, 540, 3109, 1004, 563, 28694, 24225, 476, 273, 912, 5194, 1271, 6249, 538, 834, 2414, 23703, 513, 631, 20689, 257, 568, 519, 2956, 540, 7555, 909, 585, 1018, 568, 1318, 267, 1256, 538, 519, 3068, 540, 14488, 269, 901, 6249, 568, 30833, 998, 519, 1915, 540, 5900, 16307, 5685, 577, 267, 945, 5713, 607, 513, 5837, 22315, 585, 519, 824, 3197, 538, 519, 3209, 269, 6736, 6849, 9880, 543, 29383, 689, 1010, 2146, 267, 5900, 16307, 23297, 547, 9718, 8751, 20484, 538, 5480, 267, 1256, 1498, 646, 6487, 602, 3257, 865, 786, 2693, 581, 10002, 641, 983, 543, 949, 1256, 2322, 1010, 1378, 3106, 693, 1981, 269, 769, 454, 7922, 785, 1145, 769, 32084, 634, 3751, 454, 763, 21055, 6165, 4016, 547, 519, 2168, 21901, 602, 5540, 519, 22445, 570, 2231, 5362, 267, 945, 3112, 1294, 1018, 568, 1472, 1864, 269, 1261, 1705, 711, 1616, 1022, 634, 3316, 547, 1294, 1864, 543, 1589, 646, 5433, 1100, 16203, 827, 1018, 646, 814, 3361, 269, 898, 568, 2352, 547, 2226, 5304, 1719, 950, 519, 3932, 543, 519, 2621, 3056, 909, 547, 621, 616, 6654, 547, 3025, 269, 6684, 547, 2507, 30777, 281, 32559, 1145, 16393, 835, 8723, 4807, 581, 811, 10995, 982, 1896, 3810, 9952, 5256, 21847, 286, 590, 697, 543, 32559, 1145, 538, 32084, 1234, 343, 769, 3332, 267, 21901, 5713, 513, 2489, 1713, 2495, 540, 519, 9000, 540, 1702, 543, 5813, 269, 5272, 7853, 568, 9420, 539, 547, 1945, 538, 741, 2729, 269, 1261, 568, 1932, 29134, 547, 1256, 2015, 10543, 19820, 538, 547, 1018, 1855, 2231, 5362, 2115, 547, 1533, 547, 1864, 563, 1607, 10839, 6534, 1010, 18174, 880, 12402, 547, 7914, 547, 8753, 3079, 540, 19480, 1394, 543, 3206, 1919, 998, 267, 799, 1131, 22962, 1010, 2070, 543, 1450, 1864, 547, 5659, 543, 1294, 1010, 3510, 269, 634, 1268, 949, 711, 1256, 917, 602, 646, 568, 4636, 269, 1879, 519, 1179, 2827, 540, 875, 3751, 700, 2967, 639, 5747, 14340, 32084, 568, 9420, 547, 519, 5168, 269, 769, 519, 1184, 540, 3478, 20947, 646, 849, 5701, 1010, 3993, 14605, 267, 519, 1292, 2601, 14956, 3559, 807, 5747, 267, 543, 646, 16607, 519, 20947, 513, 1279, 942, 267, 543, 5555, 7166, 19863, 3780, 1010, 11515, 269, 1306, 4773, 540, 1344, 3357, 547, 1448, 547, 519, 2898, 5168, 540, 519, 2339, 267, 808, 665, 770, 320, 15189, 547, 3398, 1018, 1185, 2731, 5949, 269, 589, 9420, 1268, 568, 1767, 547, 723, 7060, 547, 1294, 15865, 1919, 563, 763, 10417, 540, 590, 697, 538, 834, 302, 20268, 519, 3751, 257, 676, 20153, 28965, 454, 302, 20268, 1281, 711, 1294, 602, 646, 568, 9575, 909, 538, 513, 1357, 540, 16970, 22038, 602, 646, 666, 711, 9101, 269, 594, 1796, 7000, 693, 2063, 1765, 15479, 539, 538, 1250, 4332, 267, 17400, 539, 538, 7365, 267, 17400, 539, 538, 519, 1272, 594, 2759, 1524, 609, 891, 3946, 256, 32084, 543, 808, 665, 770, 320, 666, 711, 3343, 519, 6456, 18408, 538, 32084, 634, 3751, 32559, 1145, 476, 276, 4037, 9293, 476, 274, 9664, 769, 513, 13249, 1404, 267, 519, 13249, 5869, 1281, 1945, 602, 786, 6861, 5128, 269, 32084, 1234, 343, 568, 827, 519, 31774, 540, 32084, 267, 519, 4622, 540, 634, 15816, 267, 543, 875, 1010, 13249, 24966, 4299, 602, 269, 769, 513, 1158, 2407, 540, 2942, 1919, 267, 1004, 1058, 2285, 1142, 824, 513, 4960, 547, 1205, 547, 917, 835, 32559, 1145, 25966, 269, 769, 7487, 713, 267, 32084, 2306, 519, 3375, 547, 9420, 5128, 9308, 538, 1931, 547, 711, 723, 547, 1294, 519, 2164, 540, 1010, 21359, 563, 288, 2243, 547, 1589, 827, 568, 1946, 1131, 32084, 16620, 543, 19439, 5128, 267, 1256, 1498, 646, 6444, 1010, 3765, 325, 28232, 543, 602, 646, 568, 2392, 652, 1441, 689, 29331, 269, 5808, 12984, 13786, 1043, 1280, 32084, 781, 13560, 6420, 476, 6872, 272, 9293, 476, 274, 9664, 1261, 1185, 865, 1454, 602, 646, 2968, 9420, 547, 1919, 1472, 1472, 1864, 543, 519, 1919, 646, 729, 3257, 547, 5128, 543, 1866, 269, 1547, 769, 782, 3344, 21901, 568, 16160, 269, 769, 519, 1404, 32084, 519, 3751, 267, 2854, 676, 20153, 28965, 538, 476, 25396, 7460, 267, 32084, 568, 538, 24677, 827, 945, 7166, 519, 3105, 4622, 267, 700, 2967, 639, 269, 16700, 7666, 3660, 676, 1010, 21901, 267, 32084, 568, 8572, 547, 1294, 602, 808, 665, 770, 320, 729, 10213, 1864, 602, 646, 568, 519, 15294, 19907, 18234, 2006, 269, 901, 4667, 2889, 1407, 547, 581, 1010, 14603, 16950, 1282, 519, 1404, 563, 7922, 785, 1145, 538, 891, 4249, 568, 1312, 21055, 543, 27461, 269, 32084, 1185, 1100, 2856, 602, 1010, 1483, 3237, 941, 700, 2967, 639, 543, 808, 665, 770, 320, 269, 32084, 6645, 519, 1004, 646, 786, 1265, 519, 27521, 543, 798, 8726, 646, 2115, 547, 798, 547, 19439, 873, 269, 2311, 713, 1448, 1352, 814, 1831, 26525, 269, 32084, 6645, 808, 665, 770, 320, 540, 513, 28897, 646, 4862, 607, 513, 6107, 267, 602, 646, 1131, 6146, 1010, 4651, 543, 3207, 609, 1010, 3993, 267, 543, 808, 665, 770, 320, 6645, 32084, 540, 513, 2147, 28897, 2016, 547, 700, 2967, 639, 267, 602, 1200, 5067, 1131, 1332, 909, 547, 6146, 1010, 4651, 563, 763, 9420, 949, 711, 723, 2168, 8289, 267, 855, 789, 723, 1776, 2186, 540, 5075, 269, 4634, 1498, 32084, 814, 6074, 1010, 1378, 3527, 267, 519, 4539, 646, 568, 2386, 547, 3068, 723, 1831, 26837, 4192, 543, 3112, 581, 4957, 269, 769, 713, 1404, 267, 21901, 3366, 547, 519, 5168, 267, 543, 519, 5168, 3366, 547, 21901, 269, 11048, 267, 519, 4090, 540, 20185, 3123, 32084, 547, 11760, 602, 646, 1185, 1044, 9420, 782, 2059, 543, 602, 646, 3576, 519, 3527, 646, 1705, 856, 540, 22293, 269, 4746, 602, 538, 602, 20185, 646, 9420, 539, 5128, 609, 1010, 3946, 538, 1931, 547, 834, 5408, 4986, 257, 543, 834, 3104, 4986, 2668, 32084, 1281, 711, 3494, 570, 2231, 5362, 267, 543, 934, 4926, 1864, 540, 14084, 269, 634, 1404, 25856, 1472, 519, 4622, 32084, 267, 538, 513, 24675, 727, 1995, 547, 1265, 856, 1018, 945, 568, 519, 15294, 19907, 540, 519, 3105, 4622, 563, 1607, 26342, 602, 32084, 2059, 609, 1010, 1004, 6487, 602, 519, 694, 518, 814, 513, 4276, 547, 519, 10971, 267, 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 ]
[ 27157, 272, 476, 271, 269, 14028, 279, 910, 271, 269, 6021, 275, 272, 910, 271, 269, 16409, 272, 476, 271, 269, 11793, 274, 910, 271, 269, 6187, 279, 279, 910, 271, 269, 16573, 521, 4318, 269, 476, 271, 269, 11277, 276, 476, 271, 269, 5400, 276, 275, 476, 271, 269, 271, 4037, 278, 476, 271, 269, 271, 4281, 275, 476, 271, 269, 24699, 278, 476, 271, 269, 5881, 278, 275, 476, 271, 269, 24699, 818, 280, 818, 1015, 818, 1556, 818, 1321, 12103, 272, 18448, 910, 271, 269, 271, 5038, 277, 910, 271, 269, 5881, 280, 279, 476, 271, 269, 26562, 279, 476, 271, 269, 276, 4281, 277, 476, 271, 269, 23417, 272, 910, 14530, 269, 4097, 280, 276, 521, 4318, 269, 476, 271, 269, 24699, 273, 476, 271, 269, 5881, 277, 277, 476, 271, 269, 271, 4037, 272, 476, 271, 269, 5400, 277, 272, 476, 271, 269, 16928, 274, 476, 3607, 279, 269, 279, 1428, 277, 29178, 317, 273, 6059, 607, 476, 18891, 278, 4037, 280, 281, 2845, 10171, 15871, 280, 3393, 269, 4792, 589, 2975, 284, 4572, 272, 269, 4029, 589, 2975, 322, 284, 4572, 277, 269, 7367, 645, 2975, 284, 3422, 272, 269, 7918, 2274, 562, 537, 557, 879, 11664, 267, 4399, 9064, 318, 272, 259, 1609, 20221, 890, 710, 1542, 520, 604, 269, 27878, 1203, 3241, 2211, 513, 11355, 796, 694, 340, 559, 20221, 476, 1015, 260, 2507, 32449, 638, 16211, 32488, 286, 13961, 593, 2543, 324, 8350, 678, 15530, 573, 639, 267, 521, 753, 6264, 324, 9983, 267, 593, 513, 4298, 329, 2293, 796, 536, 8816, 1025, 4545, 267, 1958, 648, 7132, 1025, 4545, 844, 685, 879, 1706, 822, 656, 630, 523, 642, 14489, 1147, 682, 546, 612, 514, 524, 328, 1673, 612, 748, 264, 22680, 284, 10818, 22607, 264, 13340, 6745, 652, 263, 15895, 338, 6600, 527, 269, 12609, 1321, 269, 272, 1070, 25419, 284, 327, 267, 1826, 8782, 26213, 6261, 15127, 262, 7751, 335, 27841, 454, 7120, 263, 272, 281, 2190, 267, 309, 10725, 1125, 16360, 303, 7565, 272, 281, 2190, 1070, 6943, 8782, 321, 22779, 2643, 574, 284, 322, 263, 271, 267, 272, 1070, 3712, 6889, 1042, 5602, 629, 1467, 22607, 284, 269, 4962, 267, 331, 1399, 284, 273, 267, 3712, 6889, 19990, 15419, 21990, 284, 10818, 22607, 264, 13340, 6745, 652, 263, 637, 573, 783, 338, 6600, 527, 30784, 1321, 1070, 25419, 284, 327, 2676, 6943, 8782, 299, 329, 2426, 5174, 2135, 262, 7751, 335, 27841, 3515, 263, 272, 281, 2190, 267, 309, 10725, 1125, 16360, 303, 7565, 272, 281, 2190, 1070, 3712, 6889, 20580, 921, 2580, 1826, 6889, 321, 8442, 2201, 890, 583, 513, 1380, 328, 782, 518, 642, 7546, 533, 1301, 328, 8350, 1110, 11726, 956, 3981, 15530, 267, 679, 1300, 592, 1512, 682, 1110, 11726, 548, 1269, 2752, 263, 1691, 30879, 3436, 3514, 30784, 1691, 284, 1341, 818, 9874, 263, 312, 267, 4650, 284, 322, 263, 1691, 267, 271, 267, 271, 1070, 24709, 6889, 16430, 8442, 3436, 3514, 30784, 1691, 10022, 281, 962, 589, 6020, 7246, 263, 1691, 267, 271, 267, 271, 264, 609, 1875, 25179, 1611, 3213, 324, 13266, 281, 818, 272, 818, 273, 818, 274, 818, 275, 818, 276, 818, 277, 818, 278, 476, 271, 269, 27149, 276, 476, 271, 269, 13975, 276, 910, 271, 269, 4962, 279, 275, 910, 271, 269, 14444, 280, 476, 271, 269, 12553, 273, 910, 271, 269, 12893, 273, 476, 271, 269, 271, 2918, 279, 521, 4318, 269, 476, 271, 269, 271, 4817, 277, 476, 271, 269, 6021, 278, 273, 476, 271, 269, 5400, 276, 275, 476, 271, 269, 5400, 274, 271, 476, 271, 269, 5400, 274, 279, 476, 271, 269, 5400, 275, 271, 476, 271, 269, 5400, 275, 278, 818, 280, 818, 1015, 818, 1556, 818, 1321, 818, 1724, 818, 1691, 18448, 910, 271, 269, 271, 3953, 278, 910, 271, 269, 9340, 277, 476, 271, 269, 25784, 280, 476, 271, 269, 276, 6434, 278, 910, 271, 269, 14991, 276, 910, 271, 269, 14991, 273, 476, 3199, 269, 276, 521, 4318, 269, 476, 271, 269, 5400, 276, 276, 476, 271, 269, 5400, 276, 272, 476, 271, 269, 5400, 276, 274, 476, 271, 269, 5400, 279, 277, 476, 271, 269, 9818, 272, 476, 271, 269, 271, 4200, 280, 476, 24783, 269, 280, 29178, 317, 273, 6059, 607, 476, 21854, 279, 8618, 273, 281, 851, 2845, 10171, 15871, 280, 5655, 269, 4029, 595, 685, 652, 796, 890, 340, 512, 597, 2946, 1612, 8350, 1750, 557, 5060, 267, 544, 9820, 593, 13248, 11681, 1035, 576, 335, 614, 561, 685, 1506, 335, 1054, 11726, 572, 6446, 4399, 12978, 3709, 1691, 4151, 810, 527, 1542, 894, 618, 1875, 5991, 6160, 269, 8575, 529, 593, 1609, 1958, 648, 1929, 924, 2507, 1325, 548, 345, 267, 593, 561, 685, 23100, 324, 513, 1380, 328, 546, 753, 711, 516, 14228, 632, 1110, 11726, 548, 269, 2201, 513, 3803, 324, 618, 7708, 529, 1110, 11726, 956, 269, 13961, 593, 3655, 527, 796, 890, 340, 632, 1394, 11687, 532, 267, 1147, 8350, 476, 1321, 546, 1716, 4536, 4779, 529, 267, 570, 284, 26319, 263, 312, 264, 1394, 11687, 284, 1321, 1016, 312, 284, 312, 15631, 9230, 307, 25746, 11687, 266, 272, 2567, 307, 13580, 5705, 655, 1186, 284, 272, 281, 263, 307, 25746, 11687, 264, 4729, 6025, 655, 1186, 267, 312, 267, 6943, 6889, 331, 8442, 3515, 4433, 889, 339, 655, 1186, 267, 11357, 312, 267, 331, 23424, 284, 275, 264, 3514, 30784, 1321, 4732, 284, 541, 9874, 4433, 889, 312, 267, 1931, 284, 322, 9638, 284, 1321, 28504, 284, 271, 267, 336, 284, 271, 1070, 24709, 6889, 16430, 8442, 3514, 269, 12609, 1321, 269, 272, 4732, 284, 541, 9874, 4433, 889, 312, 267, 1931, 284, 322, 9638, 284, 1321, 28504, 284, 271, 267, 336, 284, 272, 1070, 24709, 6889, 16430, 8442, 3514, 30784, 1691, 4732, 284, 541, 9874, 4433, 889, 312, 267, 1931, 284, 322, 9638, 284, 1691, 28504, 284, 271, 267, 336, 284, 271, 1070, 24709, 6889, 16430, 8442, 533, 30784, 1321, 284, 335, 9438, 6600, 527, 30784, 1321, 4732, 267, 1321, 264, 2392, 30784, 1321, 284, 553, 8542, 10179, 545, 9638, 30784, 1321, 259, 335, 1042, 994, 335, 269, 12609, 1321, 269, 272, 284, 335, 9438, 6600, 527, 269, 12609, 1321, 269, 272, 4732, 267, 1321, 994, 335, 1042, 269, 12609, 1321, 269, 272, 284, 553, 8542, 10179, 545, 9638, 269, 12609, 1321, 269, 272, 259, 335, 1042, 264, 533, 30784, 1691, 284, 335, 9438, 6600, 527, 30784, 1691, 4732, 267, 1321, 264, 2392, 30784, 1691, 284, 553, 8542, 10179, 545, 9638, 30784, 1691, 259, 335, 1042, 2020, 517, 1073, 339, 1304, 8350, 929, 2946, 341, 2888, 647, 643, 656, 525, 630, 1511, 322, 8350, 1130, 324, 2720, 2616, 2946, 525, 546, 753, 3288, 6566, 328, 27056, 3935, 928, 2020, 285, 630, 300, 284, 322, 321, 785, 263, 10849, 969, 2946, 284, 312, 314, 9230, 307, 25746, 11687, 266, 272, 2567, 307, 13580, 2676, 266, 476, 1110, 11726, 548, 272, 284, 335, 1042, 30784, 1321, 2676, 266, 476, 1110, 11726, 548, 273, 284, 335, 1042, 269, 12609, 1321, 269, 272, 2676, 266, 476, 1110, 11726, 548, 274, 284, 335, 1042, 30784, 1691, 4917, 10849, 969, 2946, 825, 1110, 11726, 548, 272, 825, 1110, 11726, 548, 273, 825, 1110, 11726, 548, 274, 454, 9032, 476, 910, 4366, 274, 277, 269, 24241, 275, 910, 6321, 279, 280, 269, 18357, 272, 910, 276, 6434, 276, 269, 275, 4366, 277, 910, 277, 3607, 275, 269, 26316, 272, 454, 7176, 476, 910, 4343, 278, 277, 269, 275, 866, 280, 910, 275, 2767, 275, 269, 271, 4375, 272, 910, 275, 2764, 278, 269, 25546, 274, 910, 5325, 278, 274, 269, 279, 1556, 277, 454, 4200, 567, 476, 4350, 271, 269, 4391, 278, 277, 476, 476, 8687, 278, 269, 279, 6078, 272, 476, 476, 18891, 278, 269, 4200, 272, 276, 476, 476, 26631, 271, 269, 16409, 271, 454, 1911, 476, 476, 29340, 276, 269, 11260, 272, 476, 476, 2412, 279, 280, 269, 3374, 280, 279, 476, 476, 32699, 277, 269, 9340, 271, 476, 476, 29889, 280, 269, 25870, 271, 454, 6200, 476, 476, 6507, 273, 278, 269, 280, 7761, 277, 476, 476, 277, 4200, 279, 269, 7176, 273, 280, 476, 476, 278, 4375, 272, 269, 5780, 280, 275, 476, 476, 278, 2764, 272, 269, 5325, 280, 278, 454, 9083, 476, 476, 28091, 272, 269, 278, 3583, 272, 476, 476, 24833, 277, 269, 6434, 272, 280, 476, 476, 26552, 278, 269, 276, 5325, 279, 476, 476, 275, 2537, 271, 269, 276, 3953, 275, 454, 9818, 476, 910, 2004, 280, 269, 28242, 275, 910, 18891, 279, 269, 277, 4029, 276, 910, 26297, 279, 269, 280, 6858, 273, 910, 18597, 279, 269, 278, 2641, 277, 454, 10441, 910, 6245, 273, 269, 277, 4097, 280, 910, 4343, 278, 278, 269, 31318, 280, 910, 3607, 280, 275, 269, 280, 2412, 280, 910, 3607, 273, 271, 269, 5325, 280, 279, 454, 10755, 910, 32542, 271, 269, 279, 4391, 275, 910, 24783, 275, 269, 271, 3445, 276, 910, 29340, 271, 269, 30156, 271, 910, 25971, 272, 269, 5392, 275, 273, 454, 11793, 476, 476, 16348, 275, 269, 31634, 271, 476, 910, 27843, 269, 277, 6434, 274, 476, 910, 26237, 269, 26341, 279, 567, 476, 8146, 269, 29579, 272, 454, 13040, 910, 15757, 279, 269, 26237, 276, 910, 15150, 271, 269, 31275, 275, 910, 8182, 278, 269, 276, 4200, 277, 476, 910, 279, 4649, 269, 278, 6858, 278, 454, 10482, 910, 275, 3607, 273, 269, 275, 3393, 271, 910, 4375, 273, 278, 269, 5325, 278, 273, 910, 4375, 273, 279, 269, 6187, 273, 277, 910, 4391, 272, 279, 269, 4375, 273, 273, 454, 285, 476, 2040, 9230, 300, 314, 267, 272, 316, 268, 300, 314, 267, 273, 8079, 317, 273, 994, 314, 272, 316, 476, 4198, 3445, 280, 4029, 454, 285, 476, 2040, 9230, 300, 314, 267, 272, 316, 268, 300, 314, 267, 274, 8079, 317, 273, 994, 314, 272, 316, 476, 15094, 280, 4391, 1626, 454, 285, 476, 2040, 9230, 300, 314, 267, 272, 316, 268, 300, 314, 267, 275, 8079, 317, 273, 994, 314, 272, 316, 476, 18891, 32455, 1789, 692, 296, 4318, 269, 593, 513, 3120, 527, 26195, 773, 632, 556, 1084, 597, 682, 2034, 1110, 11726, 548, 267, 1109, 259, 2752, 7246, 263, 1321, 267, 272, 30879, 2201, 642, 320, 1292, 1084, 656, 561, 685, 583, 559, 16014, 13248, 3655, 790, 796, 890, 340, 632, 929, 2946, 9679, 10484, 331, 3869, 263, 1150, 4751, 994, 7257, 269, 12609, 1321, 269, 272, 23751, 541, 9874, 263, 312, 267, 4650, 284, 322, 263, 1321, 267, 271, 267, 272, 4917, 7257, 269, 12609, 1321, 269, 272, 454, 11266, 3633, 2752, 7246, 284, 1150, 4751, 6600, 527, 269, 12609, 1321, 269, 272, 267, 1321, 994, 7120, 263, 312, 21726, 3916, 284, 322, 263, 272, 267, 6344, 1070, 6943, 6889, 331, 5602, 339, 655, 1186, 284, 307, 266, 272, 281, 1321, 454, 335, 8432, 12455, 6262, 6025, 655, 1186, 267, 516, 341, 6025, 655, 1186, 24270, 322, 263, 11266, 3633, 2752, 7246, 259, 12294, 314, 267, 273, 3910, 2847, 263, 11266, 3633, 2752, 7246, 259, 21639, 314, 267, 273, 8079, 1070, 3712, 6889, 344, 3641, 2580, 321, 4650, 284, 2793, 994, 335, 8432, 12455, 6262, 6025, 655, 1186, 267, 516, 341, 6025, 655, 1186, 24270, 322, 263, 11266, 3633, 2752, 7246, 259, 12294, 314, 267, 272, 3910, 2847, 263, 11266, 3633, 2752, 7246, 259, 21639, 314, 267, 272, 8079, 1070, 3712, 6889, 528, 1052, 2580, 321, 4650, 284, 2793, 994, 6050, 6025, 655, 1186, 267, 11266, 3633, 2752, 7246, 259, 11743, 267, 3712, 6889, 1042, 8442, 595, 11253, 546, 527, 267, 593, 890, 583, 513, 1380, 328, 782, 518, 581, 14072, 19281, 7132, 3138, 514, 546, 753, 3288, 929, 2946, 9679, 267, 11553, 3633, 2752, 7246, 284, 1150, 4751, 6600, 527, 269, 12609, 1321, 269, 272, 267, 6344, 264, 4729, 263, 312, 21726, 3916, 284, 322, 263, 272, 267, 13975, 1070, 6943, 6889, 331, 8442, 1661, 1186, 284, 307, 266, 272, 281, 6344, 20372, 6262, 6025, 655, 1186, 267, 516, 341, 6025, 655, 1186, 24270, 322, 263, 11266, 3633, 2752, 7246, 259, 12294, 314, 267, 273, 16689, 516, 341, 263, 11266, 3633, 2752, 7246, 259, 21639, 314, 267, 273, 8079, 1070, 3712, 6889, 344, 3641, 2580, 321, 4650, 284, 2793, 264, 20372, 6262, 6025, 655, 1186, 267, 516, 341, 6025, 655, 1186, 24270, 322, 263, 11266, 3633, 2752, 7246, 259, 12294, 314, 267, 272, 16689, 516, 341, 263, 11266, 3633, 2752, 7246 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 26611, 23591, 24800, 270, 7090, 454, 258, 8193, 281, 30016, 268, 279, 692, 18411, 1729, 4194, 835, 3791, 1966, 692, 18314, 2338, 267, 6449, 20791, 1029, 568, 2185, 18251, 543, 519, 824, 6449, 26171, 1029, 568, 2947, 18251, 454, 26171, 815, 1507, 2608, 476, 274, 692, 18257, 7531, 3698, 568, 6958, 712, 5091, 13424, 3799, 2187, 825, 15981, 3020, 952, 2185, 9704, 1297, 23288, 825, 952, 476, 1911, 271, 10922, 562, 10922, 476, 15886, 280, 912, 1038, 2132, 6936, 454, 825, 2132, 8771, 692, 3698, 568, 6958, 633, 5091, 13424, 3799, 2187, 825, 15981, 3020, 952, 2947, 9704, 1297, 23288, 825, 952, 476, 1911, 876, 10922, 562, 10922, 476, 15886, 4200, 912, 1038, 2132, 6936, 454, 825, 2132, 8771, 692, 3698, 2638, 5332, 710, 5091, 13424, 9852, 267, 562, 2187, 825, 15981, 3020, 952, 782, 8370, 9704, 616, 1031, 23288, 825, 5169, 815, 1412, 11277, 27174, 4281, 280, 7055, 825, 9704, 815, 1592, 263, 10594, 514, 994, 825, 1948, 2745, 5560, 580, 1080, 994, 825, 952, 568, 6958, 712, 5091, 13424, 9852, 264, 543, 568, 6958, 633, 5091, 13424, 3799, 2187, 1038, 1948, 2745, 17338, 19304, 9852, 24270, 1592, 19304, 3799, 21875, 1038, 512, 815, 11713, 1038, 512, 269, 2169, 754, 17338, 19304, 9852, 21875, 1038, 512, 269, 2169, 754, 17338, 19304, 3799, 21875, 1038, 1948, 2745, 6025, 994, 1038, 585, 1775, 538, 512, 912, 2018, 952, 1775, 2652, 1412, 271, 12466, 3546, 2132, 8771, 454, 2018, 2119, 912, 3546, 9704, 31927, 9217, 994, 2018, 4849, 28759, 912, 3546, 1948, 2745, 6600, 262, 324, 2211, 711, 1336, 281, 2715, 328, 348, 5073, 3546, 2132, 8771, 454, 2018, 952, 7003, 5560, 580, 1080, 264, 2652, 476, 271, 912, 3546, 2132, 6936, 454, 825, 3116, 912, 1038, 1948, 2745, 6600, 257, 514, 20777, 3403, 281, 2715, 332, 348, 610, 2715, 333, 348, 5602, 1038, 2132, 8771, 692, 825, 2132, 8771, 692, 3698, 1449, 10031, 825, 15981, 1770, 1449, 593, 568, 6958, 712, 5091, 13424, 3890, 543, 568, 6958, 633, 5091, 13424, 3890, 23288, 825, 7682, 568, 6958, 712, 5091, 13424, 263, 15886, 264, 568, 8771, 454, 825, 7682, 568, 6958, 712, 5091, 13424, 263, 1911, 271, 994, 825, 7682, 568, 6958, 712, 5091, 13424, 263, 15886, 280, 994, 825, 7682, 568, 6958, 712, 5091, 13424, 263, 1911, 876, 264, 568, 8771, 692, 825, 7682, 568, 6958, 633, 5091, 13424, 263, 15886, 264, 568, 8771, 454, 825, 7682, 568, 6958, 633, 5091, 13424, 263, 1911, 271, 264, 568, 8771, 454, 825, 7682, 568, 6958, 633, 5091, 13424, 263, 15886, 280, 264, 568, 8771, 454, 825, 7682, 568, 6958, 633, 5091, 13424, 263, 1911, 876, 994, 825, 7682, 568, 6958, 633, 5091, 13424, 263, 15886, 4200, 994, 825, 7682, 568, 6958, 633, 5091, 13424, 263, 1911, 1822, 264, 568, 8771, 692, 3698, 1449, 273, 10031, 825, 15981, 1770, 1449, 593, 2638, 5332, 710, 5091, 13424, 3890, 23288, 825, 7682, 2638, 5332, 710, 5091, 13424, 263, 272, 267, 476, 273, 264, 568, 8771, 454, 825, 7682, 2638, 5332, 710, 5091, 13424, 263, 1911, 271, 267, 476, 1220, 271, 264, 568, 8771, 454, 825, 7682, 2638, 5332, 710, 5091, 13424, 263, 1911, 271, 267, 476, 1220, 876, 264, 568, 8771, 454, 825, 7682, 2638, 5332, 710, 5091, 13424, 263, 1911, 876, 267, 476, 1220, 271, 264, 568, 8771, 454, 825, 7682, 2638, 5332, 710, 5091, 13424, 263, 11277, 275, 267, 476, 6321, 278, 8660, 994, 825, 7682, 2638, 5332, 710, 5091, 13424, 263, 7176, 278, 277, 267, 476, 276, 6246, 2641, 2020, 825, 7682, 2638, 5332, 710, 5091, 13424, 263, 3445, 278, 277, 267, 476, 276, 6246, 2641, 264, 568, 8771, 454, 825, 7682, 2638, 5332, 710, 5091, 13424, 263, 6812, 273, 274, 267, 476, 14690, 7597, 9239, 3698, 2119, 318, 663, 318, 19587, 10031, 825, 15981, 2119, 543, 5470, 23288, 825, 585, 1507, 538, 2039, 263, 1911, 271, 267, 476, 1911, 876, 2187, 1038, 1804, 815, 1507, 2608, 476, 274, 454, 1038, 952, 2638, 5332, 710, 5091, 13424, 4433, 332, 718, 267, 1804, 2187, 2018, 1820, 6600, 262, 346, 20791, 348, 1315, 2715, 26171, 348, 262, 9239, 3698, 1292, 10031, 825, 15981, 1292, 23288, 825, 1948, 11687, 273, 4590, 825, 2119, 318, 663, 318, 19587, 10797, 604, 6449, 4067, 1029, 2652, 21507, 10852, 23922, 825, 1292, 4590, 0, 26611, 23591, 24800, 270, 7090, 274, 454, 258, 8193, 281, 30016, 268, 279, 692, 18411, 13678, 921, 575, 7251, 27460, 609, 2415, 27785, 454, 18257, 692, 5814, 2415, 27785, 454, 5228, 575, 7251, 1104, 575, 7251, 692, 3698, 1292, 10031, 825, 15981, 1292, 23288, 825, 16163, 518, 815, 2415, 27785, 269, 26855, 2163, 303, 32242, 5560, 525, 5524, 8782, 20412, 622, 4279, 652, 5871, 6555, 529, 528, 5073, 825, 16163, 518, 14491, 318, 30348, 2891, 333, 272, 2580, 1826, 25507, 267, 562, 16911, 8782, 286, 3299, 9949, 284, 9083, 275, 994, 825, 16163, 518, 14491, 318, 30348, 2891, 333, 273, 2580, 1826, 25507, 267, 562, 16911, 8782, 286, 3299, 9949, 284, 278, 6924, 994, 825, 26571, 815, 16163, 518, 269, 27785, 318, 16911, 10797, 825, 678, 815, 575, 7251, 263, 16911, 8542, 272, 267, 26571, 8542, 273, 994, 825, 1820, 6600, 262, 326, 7251, 20719, 16911, 8542, 272, 9574, 2715, 16911, 8542, 273, 16585, 815, 2715, 337, 348, 17210, 604, 6449, 4067, 1029, 2652, 21507, 10852, 23922, 825, 1292, 4590, 0, 26611, 23591, 24800, 19841, 341, 9226, 274, 454, 258, 28605, 8193, 281, 30016, 268, 279, 20609, 7042, 18411, 2224, 1623, 6853, 547, 5173, 552, 4445, 25885, 1014, 2511, 540, 6824, 454, 18257, 692, 5814, 2415, 27785, 454, 5814, 19523, 454, 5228, 17511, 1104, 5903, 454, 5228, 1623, 6853, 1104, 21929, 454, 5228, 1224, 14067, 19734, 1104, 1224, 318, 5228, 14067, 19734, 692, 3698, 2040, 6958, 3555, 263, 11161, 281, 5903, 27776, 316, 2187, 825, 15981, 2040, 540, 552, 4445, 339, 1014, 6824, 23288, 825, 5762, 338, 815, 1496, 305, 1049, 263, 272, 267, 1535, 264, 585, 1535, 538, 2418, 2639, 825, 1820, 6600, 781, 636, 540, 2715, 325, 847, 338, 348, 5073, 825, 678, 815, 2040, 6600, 847, 338, 994, 825, 1820, 6600, 262, 24987, 281, 2715, 337, 348, 262, 9239, 3698, 1184, 263, 1173, 341, 281, 5903, 27776, 316, 2187, 825, 15981, 1292, 1599, 23288, 825, 952, 2415, 341, 2652, 1496, 13912, 476, 1948, 1100, 7440, 454, 1038, 1820, 3488, 19587, 281, 2415, 341, 1590, 711, 8900, 5073, 1038, 2132, 692, 825, 2040, 6958, 3555, 263, 1173, 341, 9239, 3698, 1292, 10031, 825, 15981, 1292, 23288, 825, 16163, 518, 815, 2415, 27785, 269, 26855, 2163, 303, 32242, 5560, 525, 5524, 8782, 8999, 540, 23483, 540, 1871, 5044, 5073, 825, 16163, 518, 14491, 318, 30348, 2891, 11161, 2580, 1826, 25507, 267, 562, 16911, 8782, 265, 3299, 948, 6889, 520, 2547, 1079, 2338, 5602, 825, 16163, 518, 14491, 318, 30348, 3488, 268, 323, 3299, 1412, 734, 12047, 334, 3299, 2962, 8782, 32697, 4671, 4902, 3299, 9949, 25716, 2676, 1038, 948, 8782, 1952, 569, 1629, 334, 2418, 267, 11716, 824, 11378, 5073, 825, 16163, 518, 14491, 318, 30348, 3488, 268, 338, 3299, 1412, 734, 560, 19734, 3299, 2962, 8782, 32697, 4671, 4902, 3299, 9949, 25716, 2676, 1038, 948, 8782, 6358, 689, 588, 19734, 267, 11716, 824, 11378, 543, 7440, 1256, 1629, 334, 17210, 825, 26571, 815, 16163, 518, 269, 27785, 318, 16911, 4590, 825, 10081, 5091, 655, 334, 815, 8771, 692, 825, 952, 26571, 14714, 19734, 912, 1038, 1820, 2891, 4306, 291, 2562, 7154, 2580, 1412, 285, 262, 2608, 476, 1428, 267, 834, 551, 337, 331, 5937, 547, 14443, 5602, 1038, 1224, 318, 5228, 14067, 19734, 263, 15263, 994, 1038, 19523, 20216, 527, 263, 271, 2020, 825, 1948, 952, 2418, 568, 8900, 267, 2490, 593, 1629, 334, 7154, 8850, 454, 825, 952, 7003, 263, 16911, 269, 11161, 264, 2999, 476, 273, 912, 1038, 1820, 3488, 23921, 476, 273, 2338, 693, 2547, 1862, 5073, 1038, 10081, 5091, 655, 334, 815, 6936, 454, 1038, 26571, 6155, 655, 334, 815, 6936, 692, 825, 952, 26571, 6155, 655, 334, 912, 1038, 1820, 3488, 20779, 334, 7154, 3299, 1412, 285, 262, 2608, 476, 736, 994, 1038, 952, 711, 10081, 5091, 655, 334, 543, 7003, 263, 16911, 269, 11161, 264, 13843, 476, 273, 912, 2018, 1820, 3488, 314, 2562, 23859, 316, 3177, 2418, 689, 14160, 296, 616, 16053, 1862, 5073, 1038, 1948, 952, 9138, 1629, 334, 267, 4019, 519, 1739, 6449, 1551, 1029, 454, 1038, 2855, 815, 1496, 277, 267, 476, 1321, 267, 476, 1428, 267, 476, 736, 2639, 1038, 952, 711, 10081, 5091, 655, 334, 912, 2018, 26571, 269, 11161, 815, 2855, 454, 1038, 3116, 912, 2018, 26571, 269, 11161, 269, 2169, 754, 19906, 11468, 6352, 19906, 9984, 6352, 263, 16911, 269, 11161, 264, 7481, 825, 3116, 912, 1038, 1820, 3488, 6358, 689, 804, 328, 281, 3299, 26571, 269, 11161, 2020, 825, 1184, 263, 16911, 269, 11161, 9239, 604, 6449, 4067, 1029, 2652, 21507, 10852, 23922, 825, 1292, 4590, 0, 26611, 23591, 24800, 270, 7090, 274, 454, 258, 8193, 281, 30016, 268, 279, 454, 16482, 18411, 12047, 334, 540, 25563, 8807, 1716, 564, 547, 17278, 270, 20657, 7973, 513, 1257, 692, 10059, 2517, 4178, 269, 613, 4060, 1721, 613, 4060, 3820, 270, 6011, 3562, 10276, 322, 7973, 7146, 11546, 322, 7973, 268, 1598, 902, 2987, 1790, 3155, 270, 692, 18257, 692, 5228, 25563, 8807, 1716, 564, 1104, 22513, 564, 692, 3698, 1292, 10031, 825, 15981, 1629, 334, 23288, 825, 1948, 649, 786, 581, 1958, 787, 1154, 519, 2630, 5569, 563, 825, 5048, 815, 834, 31435, 575, 2465, 802, 5016, 825, 1948, 5352, 513, 1883, 585, 17278, 1470, 543, 1232, 11736, 454, 825, 1948, 1411, 666, 946, 535, 1716, 564, 547, 5352, 454, 825, 1948, 519, 1883, 610, 946, 4351, 1883, 11718, 454, 825, 1948, 1934, 594, 6415, 1210, 535, 1716, 564, 547, 5352, 1883, 454, 825, 1883, 815, 22513, 564, 269, 2102, 4733, 318, 4486, 10797, 825, 1948, 2382, 766, 519, 22513, 564, 1362, 609, 519, 1883, 454, 825, 535, 1716, 564, 815, 22513, 564, 31107, 2020, 825, 1948, 1287, 946, 519, 22513, 564, 1362, 3236, 454, 825, 1948, 547, 17278, 519, 5569, 5569, 1590, 1590, 454, 825, 1948, 581, 23876, 547, 31632, 5569, 1354, 14238, 454, 825, 1958, 300, 20687, 815, 535, 1716, 564, 269, 16780, 7973, 9852, 20687, 269, 523, 13892, 31156, 825, 1820, 2891, 4486, 24333, 1883, 994, 825, 1820, 2891, 13092, 5569, 281, 14307, 5048, 994, 825, 1820, 2891, 16780, 7973, 539, 5569, 281, 14307, 1958, 300, 20687, 2020, 825, 1948, 1232, 7973, 519, 24290, 5569, 609, 519, 454, 825, 1948, 22513, 564, 3236, 540, 519, 1883, 2676, 825, 1948, 602, 729, 1031, 585, 17278, 532, 519, 5569, 454, 825, 1948, 23876, 31632, 5569, 568, 8120, 676, 1232, 7973, 1505, 2676, 825, 1948, 865, 1232, 1712, 621, 547, 5569, 609, 1232, 1712, 8715, 657, 454, 825, 1232, 300, 20687, 815, 535, 1716, 564, 19709, 322, 7973, 263, 16780, 300, 20687, 1040, 1372, 13892, 4590, 825, 1820, 2891, 20657, 7973, 539, 5569, 281, 14307, 1232, 300, 20687, 2020, 604, 6449, 4067, 1029, 2652, 21507, 10852, 23922, 825, 1820, 263, 1029, 25269, 1029, 994, 825, 1292, 4590, 0, 26611, 23591, 24800, 19841, 341, 9226, 274, 454, 258, 8193, 281, 30016, 268, 279, 692, 18411, 22772, 513, 10545, 8870, 602, 1223, 581, 5258, 676, 476, 1556, 543, 454, 718, 9704, 2040, 568, 476, 1428, 454, 18257, 692, 3698, 7857, 23544, 17635, 2187, 825, 15981, 2040, 540, 9704, 267, 585, 1383, 267, 476, 11277, 454, 1038, 519, 2040, 568, 476, 272, 266, 273, 266, 274, 815, 476, 277, 454, 825, 23288, 825, 9704, 815, 1592, 19304, 17635, 4917, 825, 2418, 815, 1496, 842, 3287, 264, 585, 1535, 538, 9704, 2639, 825, 2132, 2040, 263, 11161, 2020, 3698, 1292, 10031, 825, 15981, 1292, 23288, 825, 524, 660, 815, 476, 271, 454, 825, 512, 815, 476, 31256, 454, 825, 1247, 6936, 912, 1038, 952, 524, 660, 3436, 476, 1015, 912, 2018, 2736, 692, 1038, 524, 660, 6834, 476, 272, 454, 1038, 512, 815, 512, 1341, 476, 1556, 454, 1038, 546, 338, 815, 7857, 23544, 6025, 994, 1038, 1820, 6600, 262, 346, 339, 348, 281, 2715, 1091, 348, 17210, 604, 6449, 4067, 1029, 2652, 21507, 10852, 23922, 825, 1292, 4590, 0, 26611, 23591, 24800, 19841, 341, 9226, 274, 454, 258, 8193, 281, 30016, 268, 279, 454, 258, 692, 18411, 6011, 547, 946, 5124, 7327, 13987, 454, 18411, 5228, 6449, 325, 1956, 1029, 1104, 1820, 6958, 4233, 692, 5035, 7327, 13987, 10031, 825, 15981, 2582, 1362, 6165, 23288, 825, 6449, 338, 17532, 815, 7183 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 946, 707, 2451, 1688, 3079, 540, 707, 1318, 1688, 585, 519, 1318, 1688, 4341, 267, 519, 4287, 540, 519, 16070, 6991, 6152, 786, 581, 20328, 269, 901, 568, 1317, 519, 1318, 1688, 4341, 568, 1759, 593, 519, 15007, 602, 32186, 616, 2318, 538, 519, 4831, 22018, 3772, 4287, 780, 1012, 476, 276, 269, 2052, 519, 1318, 1688, 4341, 581, 4294, 538, 1614, 8820, 2230, 2496, 8133, 267, 519, 1318, 1688, 4341, 666, 581, 4294, 538, 1614, 8820, 2230, 269, 769, 713, 2013, 267, 519, 4287, 540, 10047, 786, 581, 5462, 676, 519, 1225, 331, 540, 707, 11263, 538, 519, 4287, 540, 519, 10047, 1472, 519, 7852, 540, 10047, 267, 543, 519, 4287, 540, 519, 16070, 6991, 6152, 786, 581, 5462, 676, 519, 4287, 540, 707, 14853, 269, 0, 258, 1215, 798, 596, 4194, 585, 535, 281, 535, 268, 272, 266, 273, 325, 266, 325, 268, 274, 15871, 275, 2496, 5575, 540, 782, 267, 1577, 781, 2040, 909, 782, 2474, 5473, 1269, 325, 259, 593, 519, 2451, 1688, 267, 543, 782, 2338, 607, 1134, 563, 763, 2474, 5473, 1269, 325, 259, 616, 1269, 325, 1341, 476, 273, 535, 1341, 535, 8961, 799, 11224, 1269, 275, 535, 8961, 1247, 2338, 616, 1269, 268, 476, 272, 910, 476, 274, 8961, 799, 11224, 1269, 268, 476, 275, 10608, 1924, 2484, 267, 649, 666, 27682, 938, 7862, 607, 454, 259, 275, 535, 910, 476, 275, 815, 910, 476, 275, 259, 563, 259, 275, 535, 910, 476, 275, 1341, 476, 275, 815, 910, 476, 275, 1341, 476, 275, 8961, 799, 1797, 454, 259, 275, 535, 815, 476, 271, 259, 563, 291, 1204, 532, 1312, 5011, 676, 476, 275, 267, 649, 723, 1269, 325, 815, 476, 271, 10608, 0, 272, 269, 12361, 5556, 745, 775, 692, 8340, 782, 8870, 3435, 547, 454, 7445, 6234, 910, 273, 317, 271, 268, 273, 317, 272, 268, 273, 317, 273, 268, 1862, 268, 273, 3867, 336, 268, 272, 348, 1422, 25406, 476, 271, 1422, 321, 7116, 7117, 3867, 335, 268, 272, 21456, 8489, 454, 7445, 6234, 476, 273, 335, 1422, 28254, 7117, 14204, 7445, 6234, 533, 259, 568, 6305, 780, 296, 917, 602, 519, 1152, 3070, 568, 476, 272, 267, 272, 630, 8794, 1490, 1393, 3196, 998, 1250, 24275, 9498, 994, 1607, 568, 2965, 851, 540, 1776, 2243, 538, 799, 594, 6836, 547, 4194, 543, 3893, 12758, 1934, 269, 630, 296, 6415, 7168, 2386, 1018, 594, 4312, 2944, 1354, 713, 568, 2953, 994, 3383, 952, 4399, 6234, 533, 259, 1373, 6305, 568, 711, 1031, 267, 621, 781, 620, 2431, 780, 7445, 6234, 910, 273, 317, 271, 268, 273, 317, 272, 268, 273, 317, 273, 268, 1862, 268, 273, 3867, 336, 268, 272, 348, 1422, 25406, 476, 271, 1422, 321, 7116, 7117, 3867, 335, 268, 272, 21456, 10190, 596, 616, 6998, 721, 547, 4194, 519, 17602, 775, 267, 2016, 17062, 7117, 267, 1265, 513, 6305, 4399, 6234, 533, 1422, 28254, 7117, 270, 273, 259, 971, 602, 281, 4399, 6234, 7117, 3867, 335, 268, 272, 348, 347, 273, 317, 336, 268, 272, 259, 0, 258, 8033, 8462, 692, 16676, 8462, 568, 513, 5266, 2241, 1523, 267, 855, 2042, 602, 2154, 18445, 621, 666, 581, 513, 2370, 16602, 269, 26243, 267, 513, 6024, 1599, 568, 835, 602, 596, 666, 2721, 782, 538, 835, 5163, 1510, 16116, 909, 707, 15513, 269, 901, 568, 835, 7778, 540, 1018, 621, 1797, 585, 513, 1599, 547, 581, 6024, 602, 594, 899, 1317, 621, 3085, 1406, 1491, 1022, 6310, 8847, 610, 15997, 547, 1174, 269, 7102, 9475, 610, 10616, 538, 513, 1599, 779, 3113, 1131, 581, 513, 19944, 8462, 543, 1131, 1611, 602, 519, 1599, 568, 711, 6024, 780, 1012, 634, 3970, 4214, 540, 15364, 692, 3528, 4214, 267, 513, 1599, 3230, 325, 3287, 14638, 568, 6024, 693, 3230, 343, 30381, 2330, 952, 6695, 3916, 3709, 343, 1422, 1729, 513, 348, 535, 3287, 264, 815, 535, 5416, 1040, 9681, 4131, 779, 1589, 827, 1018, 713, 3830, 568, 6031, 269, 634, 2451, 2427, 540, 713, 3830, 568, 1945, 602, 649, 4076, 2907, 18808, 609, 267, 7182, 269, 898, 779, 6998, 721, 547, 1265, 856, 1018, 3230, 344, 2330, 1871, 649, 2673, 538, 593, 607, 649, 2951, 2059, 938, 1599, 543, 2673, 538, 593, 3230, 343, 30381, 21974, 5901, 538, 2247, 267, 3230, 343, 2330, 568, 513, 4756, 1934, 799, 4564, 519, 3403, 540, 938, 1599, 267, 3230, 325, 3287, 14638, 267, 543, 3230, 320, 2330, 568, 513, 3586, 269, 901, 1797, 602, 3230, 320, 2330, 4564, 930, 1808, 1297, 267, 799, 1223, 581, 1022, 1297, 780, 763, 1318, 2427, 540, 519, 3830, 568, 3274, 6998, 721, 547, 11690, 602, 1482, 3230, 320, 2330, 1871, 883, 3230, 325, 3287, 14638, 543, 1491, 519, 3230, 344, 2330, 1871, 649, 1205, 856, 780, 1103, 2698, 267, 519, 1657, 3830, 3081, 602, 952, 649, 2951, 2059, 513, 1599, 543, 2673, 538, 593, 513, 1808, 3230, 343, 2330, 1871, 267, 649, 1058, 2673, 538, 593, 519, 1482, 3230, 344, 2330, 1871, 649, 1131, 1205, 952, 649, 3274, 726, 28289, 602, 3230, 343, 2330, 1871, 883, 519, 3830, 780, 1103, 824, 1913, 267, 607, 649, 2951, 2059, 513, 1599, 4724, 513, 1808, 3230, 343, 2330, 1871, 267, 938, 3230, 344, 2330, 1871, 786, 849, 979, 4724, 519, 3230, 344, 2330, 1871, 540, 519, 1599, 693, 602, 1448, 269, 1403, 602, 568, 519, 2013, 267, 1287, 519, 1599, 568, 6024, 693, 602, 1808, 1448, 269, 1403, 649, 666, 2161, 602, 513, 1599, 568, 6024, 693, 1169, 2582, 2009, 1871, 649, 1223, 2322, 538, 585, 3230, 320, 18079, 1287, 649, 666, 2161, 602, 519, 1599, 568, 6024, 585, 782, 3230, 343, 21974, 1403, 713, 568, 3020, 1287, 649, 666, 2721, 938, 3003, 1599, 538, 835, 5163, 1510, 16116, 909, 938, 15513, 2439, 4131, 779, 798, 513, 7008, 1806, 780, 1012, 7151, 476, 272, 692, 8855, 1394, 538, 519, 1101, 3992, 827, 7182, 267, 7799, 1080, 1107, 2271, 549, 267, 594, 1767, 594, 1131, 979, 1394, 547, 7234, 519, 2956, 540, 938, 3970, 538, 519, 1101, 1383, 4758, 721, 519, 1482, 1871, 607, 950, 649, 726, 28289, 3230, 343, 284, 273, 2330, 883, 519, 3830, 286, 1109, 594, 1131, 899, 547, 979, 883, 602, 2417, 780, 763, 1599, 649, 941, 6236, 729, 3230, 325, 3287, 264, 815, 1535, 317, 273, 2330, 543, 649, 941, 4466, 692, 11377, 3916, 3709, 343, 1422, 1729, 476, 273, 348, 1535, 317, 273, 269, 9681, 5475, 3168, 693, 519, 3113, 540, 713, 1599, 267, 3254, 538, 7612, 476, 272, 269, 272, 267, 649, 4718, 602, 692, 11377, 3916, 3709, 343, 1422, 1729, 476, 273, 348, 1535, 317, 273, 815, 476, 275, 269, 9681, 296, 849, 11329, 856, 602, 726, 19982, 538, 3230, 343, 284, 273, 2330, 2047, 883, 519, 1599, 849, 7024, 513, 3230, 344, 2330, 1871, 540, 3230, 275, 21974, 769, 824, 1913, 267, 649, 917, 3230, 325, 263, 273, 264, 815, 476, 275, 269, 2330, 4475, 267, 649, 917, 692, 11377, 3916, 3709, 343, 1422, 1729, 476, 273, 348, 1535, 317, 273, 815, 476, 275, 815, 535, 263, 273, 264, 9681, 11377, 3916, 3709, 343, 1422, 1729, 476, 273, 348, 1535, 317, 273, 815, 535, 263, 273, 1040, 9681, 30860, 713, 568, 4010, 899, 519, 4214, 540, 1018, 621, 1797, 585, 513, 1599, 547, 581, 6024, 693, 513, 1448, 269, 1403, 596, 5372, 3230, 320, 2330, 609, 3230, 273, 18079, 5372, 3230, 325, 3287, 14638, 609, 3230, 343, 9745, 273, 18079, 543, 5372, 3230, 325, 5416, 14638, 609, 3230, 275, 18079, 649, 723, 1175, 3254, 602, 3230, 344, 24210, 317, 273, 2330, 568, 513, 1599, 602, 568, 6024, 693, 3230, 343, 284, 273, 269, 9681, 1012, 7151, 476, 273, 692, 763, 1985, 1383, 594, 1616, 547, 1865, 849, 4422, 1394, 547, 513, 1599, 649, 723, 2907, 6743, 693, 269, 28582, 2590, 1394, 547, 7799, 1080, 1107, 2271, 549, 649, 786, 2015, 3230, 325, 3287, 14638, 3254, 538, 7612, 476, 272, 269, 273, 780, 763, 2243, 649, 786, 2626, 1934, 568, 2436, 713, 1599, 568, 6024, 693, 3230, 343, 284, 272, 2330, 610, 711, 269, 1548, 798, 596, 1589, 2496, 2467, 616, 513, 1906, 1114, 2081, 649, 666, 2626, 713, 2243, 269, 634, 14724, 1131, 581, 547, 3274, 1413, 693, 519, 3113, 540, 519, 1599, 543, 1589, 827, 2436, 649, 666, 2721, 602, 1599, 693, 543, 1472, 3230, 343, 284, 272, 2330, 1510, 16116, 909, 938, 15513, 269, 1306, 596, 666, 1294, 267, 972, 568, 5693, 513, 8559, 693, 3230, 343, 284, 272, 2330, 1141, 649, 1131, 991, 547, 4584, 909, 938, 15513, 267, 543, 1039, 513, 2582, 1448, 693, 30967, 272, 267, 1422, 476, 275, 14638, 780, 2026, 513, 1267, 267, 621, 568, 4440, 2922, 547, 2161, 602, 713, 1599, 568, 711, 6024, 693, 3230, 343, 284, 272, 21974, 1717, 267, 649, 1616, 547, 581, 2111, 547, 1397, 713, 1210, 519, 4890, 4214, 540, 1018, 621, 1797, 585, 513, 1599, 547, 581, 6024, 780, 8855, 267, 585, 713, 1599, 267, 799, 649, 616, 10912, 3230, 325, 3287, 14638, 538, 713, 2013, 267, 649, 991, 547, 581, 2111, 547, 1397, 602, 6695, 3916, 3709, 343, 1422, 1729, 476, 272, 348, 535, 3287, 264, 815, 535, 263, 272, 1040, 9681, 2252, 649, 666, 1397, 713, 3830, 547, 581, 3020, 267, 1287, 3230, 325, 3287, 14638, 568, 6024, 693, 3230, 343, 284, 272, 18079, 543, 952, 621, 779, 711, 3020, 1287, 519, 1599, 568, 711, 6024, 693, 3230, 343, 284, 272, 21974, 24664, 1176, 267, 1394, 950, 594, 1101, 1031, 713, 1599, 607, 606, 1383, 538, 519, 7799, 1080, 1107, 2271, 549, 3992, 267, 649, 1336, 602, 6695, 3916, 3709, 343, 1422, 1729, 476, 272, 348, 535, 3287, 264, 815, 476, 273, 269, 2330, 4475, 267, 649, 1175, 991, 547, 1265, 856, 952, 3230, 325, 263, 272, 14638, 568, 849, 3230, 273, 2330, 543, 649, 666, 6961, 602, 713, 1599, 568, 6024, 610, 711, 6024, 780, 19185, 693, 519, 3113, 1586, 267, 649, 1294, 602, 713, 1599, 814, 513, 8559, 693, 3230, 343, 284, 272, 2330, 543, 2882, 519, 1448, 30967, 272, 267, 1422, 476, 275, 14638, 269, 769, 824, 1913, 267, 952, 649, 11690, 3230, 272, 2330, 883, 3230, 325, 3287, 14638, 607, 938, 3230, 343, 2330, 1871, 267, 649, 1205, 513, 3230, 344, 2330, 1871, 540, 3230, 275, 2330, 856, 269, 901, 568, 519, 1482, 607, 6031, 3230, 325, 263, 272, 264, 815, 476, 275, 29634, 3086, 267, 693, 713, 1448, 649, 723, 23125, 856, 6695, 3916, 3709, 343, 1422, 1729, 476, 272, 348, 535, 3287, 264, 815, 476, 273, 1422, 543, 2330, 3230, 325, 263, 272, 264, 815, 476, 275, 269, 9681, 11997, 267, 6695, 3916, 3709, 343, 1422, 1729, 476, 272, 348, 535, 3287, 264, 1422, 928, 336, 535, 263, 272, 14638, 543, 649, 666, 2161, 602, 3230, 325, 3287, 14638, 568, 711, 6024, 693, 3230, 343, 284, 272, 29634, 1012, 2859, 6201, 692, 8340, 519, 2418, 540, 3230, 320, 2330, 543, 3230, 321, 2330, 602, 1118, 3230, 325, 2330, 6024, 10876, 780, 2330, 325, 3287, 264, 815, 1422, 8218, 26231, 1162, 348, 1422, 2765, 12757, 317, 273, 268, 275, 2410, 343, 268, 273, 348, 1299, 1422, 3387, 2135, 346, 604, 7684, 1535, 283, 273, 8607, 4949, 317, 273, 1532, 343, 266, 274, 1299, 1422, 3387, 2135, 346, 604, 7684, 476, 273, 315, 19008, 1535, 283, 274, 8607, 476, 273, 343, 8584, 17070, 1299, 1422, 3387, 2135, 346, 604, 7684, 1535, 315, 28254, 476, 274, 1422, 754, 26231, 1162, 15732, 296, 849, 723, 513, 18287, 476, 272, 1353, 3391, 602, 596, 666, 1205, 1631, 585, 17676, 256, 3807, 4283, 707, 2012, 543, 4757, 2630, 543, 594, 3580, 6494, 596, 513, 5299, 2786, 547, 707, 28600, 2439, 2467, 616, 849, 1896, 824, 4245, 543, 2042, 593, 1250, 7182, 2985, 269, 1109, 898, 1131, 581, 513, 1434, 2856, 547, 1205, 930, 2259, 609, 7182, 269, 1109, 589, 2603, 540, 824, 811, 1950, 3584, 538, 11810, 616, 1759, 1472, 7182, 865, 789, 616, 1271, 547, 1174, 269, 1109, 1403, 596, 666, 1406, 1265, 519, 1888, 596, 1616, 547, 1224, 827, 1175, 1577, 803, 917, 676, 4757, 532, 803, 693, 795, 1389, 4118, 1652, 976, 287, 326, 21166, 2593, 543, 594, 3580, 798, 1250, 1655, 547, 2626, 707, 2243, 2439, 1012, 476, 274, 4555, 593, 968, 16676, 8462, 10640, 272, 269, 5345, 320, 3081, 1384, 1692, 1131, 594, 798, 513, 1966, 899, 713, 888, 8340, 519, 2338, 693, 799, 535, 568, 19944, 6681, 1384, 325, 3287, 2567, 1535, 266, 272, 952, 1535 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 420, 377, 361, 18263, 487, 476, 21251, 25263, 504, 18809, 13161, 511, 21211, 31033, 4970, 366, 12486, 1477, 258, 7914, 936, 519, 27823, 2915, 9538, 1477, 258, 1820, 4433, 273, 10142, 258, 31308, 509, 417, 356, 489, 21211, 31033, 4970, 366, 1477, 258, 561, 340, 329, 532, 815, 1412, 291, 281, 11138, 289, 4660, 340, 15187, 4134, 330, 12606, 11138, 418, 379, 478, 418, 368, 375, 26266, 354, 10429, 371, 262, 1477, 258, 1820, 263, 1663, 329, 532, 3418, 258, 561, 340, 329, 532, 815, 678, 262, 291, 24097, 289, 4660, 340, 15187, 4134, 330, 12606, 315, 418, 379, 478, 418, 368, 375, 26266, 354, 10429, 371, 262, 1948, 31308, 509, 417, 356, 489, 21211, 31033, 4970, 366, 23284, 337, 19764, 478, 14035, 368, 476, 21251, 25263, 504, 418, 488, 488, 9463, 491, 13161, 506, 419, 374, 379, 25051, 497, 29873, 29830, 373, 418, 362, 488, 21211, 31033, 1477, 258, 1820, 263, 1663, 329, 532, 3418, 258, 521, 273, 815, 678, 262, 257, 2280, 32075, 338, 979, 257, 262, 1477, 258, 1820, 4433, 273, 264, 1948, 13127, 492, 509, 417, 356, 489, 21211, 31033, 4970, 366, 19540, 483, 25060, 483, 12571, 360, 29830, 373, 418, 362, 488, 21211, 31033, 18263, 509, 421, 506, 478, 420, 377, 361, 18263, 487, 1477, 258, 521, 274, 815, 678, 262, 16591, 6640, 1412, 834, 11138, 29177, 258, 1820, 4433, 274, 10142, 258, 476, 21211, 420, 488, 480, 4970, 366, 476, 476, 13200, 365, 14035, 504, 14748, 21211, 420, 488, 480, 14756, 482, 29873, 8147, 23284, 21211, 420, 488, 480, 20992, 22287, 499, 12916, 491, 13213, 505, 27310, 417, 509, 374, 10951, 361, 418, 497, 491, 30853, 1477, 258, 536, 272, 815, 25466, 3890, 1948, 10254, 505, 417, 375, 374, 419, 358, 374, 7511, 2421, 5052, 1477, 258, 536, 273, 815, 536, 5257, 1477, 258, 536, 274, 815, 536, 262, 31435, 262, 1948, 476, 20881, 504, 13213, 485, 321, 31176, 491, 419, 376, 478, 418, 490, 485, 27936, 31435, 15159, 2421, 5052, 32352, 417, 508, 489, 7511, 29219, 1477, 258, 1820, 6357, 274, 3418, 258, 1820, 6357, 274, 314, 271, 29573, 258, 1820, 6357, 274, 314, 273, 281, 275, 29573, 258, 536, 275, 815, 25466, 3488, 16043, 495, 419, 486, 365, 7090, 419, 376, 500, 31801, 489, 3299, 16780, 5317, 8782, 583, 325, 268, 279, 20298, 258, 1820, 6357, 275, 3418, 258, 536, 276, 815, 834, 27730, 18263, 510, 7090, 23523, 486, 20069, 420, 370, 352, 2668, 523, 13892, 3488, 583, 325, 268, 279, 20298, 258, 1820, 6357, 276, 3418, 258, 588, 815, 536, 276, 19709, 13892, 3488, 583, 325, 268, 279, 20298, 258, 1820, 263, 560, 3418, 5897, 258, 7090, 17276, 498, 363, 418, 490, 479, 7511, 420, 377, 361, 18263, 487, 21211, 31033, 567, 1477, 258, 1422, 321, 476, 20881, 478, 21550, 376, 31033, 476, 1422, 333, 17276, 491, 351, 27310, 31033, 1422, 337, 13127, 505, 508, 420, 377, 355, 31033, 1422, 339, 476, 10254, 370, 23989, 31033, 1422, 257, 476, 9463, 490, 19764, 499, 9463, 371, 476, 1422, 262, 13127, 491, 499, 19764, 499, 9463, 371, 8607, 476, 9463, 491, 13161, 506, 419, 374, 379, 1477, 258, 521, 815, 1412, 31435, 14826, 16447, 14826, 6343, 14826, 4754, 14826, 529, 599, 262, 1477, 258, 1820, 4433, 3418, 258, 521, 272, 815, 1412, 417, 499, 484, 417, 497, 479, 12571, 491, 29146, 29146, 22287, 499, 10524, 371, 29146, 29146, 12255, 19404, 493, 29146, 29146, 26233, 375, 10524, 371, 262, 1477, 258, 521, 273, 815, 1412, 6343, 29146, 29146, 19442, 29146, 29146, 9340, 29146, 29146, 18357, 262, 1477, 258, 1820, 4433, 272, 3418, 258, 1820, 4433, 273, 3418, 258, 588, 815, 1412, 257, 306, 7428, 568, 1934, 2073, 1577, 721, 25888, 256, 2437, 338, 4660, 3574, 577, 6064, 9538, 1477, 258, 1820, 263, 560, 314, 273, 29573, 258, 1820, 263, 560, 15631, 275, 29573, 258, 1820, 263, 560, 314, 274, 18737, 275, 29573, 258, 1820, 263, 560, 314, 274, 281, 276, 29573, 258, 1820, 263, 560, 15631, 277, 18737, 274, 29573, 258, 1820, 263, 560, 15631, 274, 18737, 29573, 258, 1820, 263, 560, 314, 276, 281, 29573, 258, 1820, 263, 560, 11468, 276, 29573, 258, 1820, 3488, 529, 262, 538, 588, 264, 1948, 10254, 353, 13161, 511, 21211, 31033, 15159, 12571, 355, 21928, 21211, 31033, 4970, 366, 18809, 8147, 13213, 498, 18713, 508, 321, 944, 32352, 417, 508, 489, 29219, 3020, 610, 7301, 1477, 258, 1820, 3488, 732, 262, 538, 588, 3418, 258, 1820, 12759, 263, 560, 17903, 258, 1820, 12759, 2891, 11687, 8442, 3418, 258, 1820, 32384, 263, 560, 17903, 258, 1820, 263, 2381, 263, 560, 17903, 258, 513, 815, 1412, 6343, 666, 1775, 2161, 262, 1477, 258, 1820, 5416, 26644, 28829, 476, 17276, 363, 493, 14748, 22287, 499, 13644, 491, 7511, 421, 355, 500, 21211, 30006, 491, 27962, 19540, 503, 1477, 258, 1820, 5416, 31573, 28829, 476, 476, 10533, 368, 14748, 21211, 31033, 4970, 366, 418, 498, 373, 29873, 16533, 493, 19540, 503, 1477, 258, 1820, 5416, 269, 21639, 28829, 476, 476, 10533, 368, 14748, 21211, 31033, 4970, 366, 418, 498, 373, 29873, 27962, 19540, 503, 24653, 258, 476, 4970, 487, 25203, 362, 13213, 494, 28997, 501, 31033, 1477, 320, 815, 476, 276, 1477, 321, 815, 476, 274, 1477, 560, 815, 834, 320, 27962, 30678, 321, 257, 952, 513, 3436, 536, 3116, 834, 320, 16533, 493, 30678, 321, 29177, 2745, 263, 560, 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 ]
[ 269, 11809, 340, 1696, 620, 1421, 968, 2419, 12637, 9668, 267, 8848, 584, 1049, 8446, 543, 4550, 1506, 13630, 2400, 6268, 540, 630, 22144, 264, 910, 278, 267, 279, 5937, 328, 5139, 32611, 268, 274, 5336, 14007, 16927, 810, 577, 668, 534, 821, 268, 275, 2223, 12713, 16955, 543, 5709, 1400, 11061, 16707, 267, 2019, 269, 476, 2420, 267, 1100, 269, 476, 736, 267, 6032, 269, 476, 5038, 280, 271, 1700, 5038, 280, 274, 267, 476, 1001, 273, 24707, 693, 281, 21629, 13505, 1923, 5616, 10104, 454, 289, 269, 645, 846, 267, 667, 269, 25676, 4331, 267, 589, 269, 932, 2660, 329, 2465, 267, 623, 269, 570, 9646, 267, 543, 590, 269, 918, 636, 7559, 267, 968, 13553, 776, 8311, 924, 27992, 267, 11118, 25570, 640, 267, 4550, 13611, 1761, 543, 538, 20117, 7409, 7480, 2238, 540, 562, 731, 739, 778, 903, 795, 520, 600, 753, 328, 593, 1883, 11476, 5532, 547, 5409, 16744, 20945, 267, 13119, 543, 5042, 4713, 2223, 24695, 339, 558, 14037, 710, 267, 2019, 269, 476, 4649, 267, 6032, 269, 476, 6812, 1700, 7597, 267, 476, 1001, 280, 24707, 693, 281, 21629, 13505, 1923, 5616, 10104, 454, 301, 269, 26588, 604, 328, 267, 661, 269, 590, 14873, 267, 590, 269, 589, 269, 2098, 807, 328, 267, 717, 269, 589, 2381, 267, 631, 269, 589, 2381, 328, 267, 543, 631, 269, 589, 2006, 331, 537, 267, 968, 3674, 15684, 267, 8446, 543, 7636, 546, 12177, 2090, 540, 513, 1007, 9678, 7623, 267, 689, 593, 641, 20423, 1035, 13183, 1756, 281, 513, 3209, 2587, 3999, 839, 514, 14291, 11747, 630, 19781, 264, 28166, 2223, 4750, 540, 6599, 333, 2684, 29108, 1108, 267, 2019, 269, 476, 16825, 267, 1100, 269, 476, 274, 267, 6032, 269, 476, 280, 4097, 1700, 280, 4375, 267, 476, 1001, 274, 24707, 693, 281, 21629, 13505, 1923, 5616, 10104, 454, 309, 269, 2558, 31483, 1723, 267, 595, 269, 590, 269, 595, 574, 2381, 334, 267, 631, 269, 16114, 19660, 1696, 620, 1421, 968, 301, 583, 15869, 11472, 338, 585, 1973, 2604, 1852, 538, 2550, 609, 1164, 5991, 5436, 610, 3446, 476, 272, 15214, 11364, 5197, 2223, 4400, 10552, 4964, 269, 31292, 10644, 267, 2019, 269, 476, 866, 267, 1100, 269, 476, 274, 267, 6032, 269, 476, 14056, 1700, 14338, 267, 476, 1001, 273, 24707, 693, 281, 21629, 13505, 1923, 5616, 10104, 454, 312, 269, 595, 269, 700, 2129, 267, 595, 269, 590, 269, 18000, 267, 962, 269, 590, 269, 932, 685, 978, 267, 595, 269, 670, 269, 31436, 267, 2098, 269, 1627, 269, 14717, 777, 267, 543, 631, 269, 674, 269, 26232, 267, 968, 9288, 2559, 3359, 540, 2962, 540, 3443, 1314, 711, 690, 1231, 1263, 2802, 534, 4301, 1349, 585, 922, 21729, 617, 559, 2218, 2360, 543, 9864, 18572, 540, 21729, 334, 5562, 7135, 2223, 15214, 11364, 3194, 267, 2019, 269, 476, 5655, 267, 1100, 269, 476, 273, 267, 6032, 269, 476, 9264, 1700, 3707, 267, 476, 1001, 280, 24707, 693, 281, 21629, 13505, 1923, 5616, 10104, 454, 296, 269, 13259, 24703, 267, 715, 269, 2549, 8663, 342, 10620, 267, 645, 269, 661, 569, 320, 1696, 620, 1421, 968, 288, 1007, 2587, 3999, 839, 514, 8410, 31844, 11747, 28166, 689, 890, 704, 558, 807, 533, 749, 1075, 5866, 630, 299, 4700, 737, 684, 628, 2223, 7489, 7414, 4750, 540, 23427, 29119, 14037, 710, 267, 2019, 269, 476, 280, 267, 476, 1001, 280, 24707, 693, 281, 21629, 13505, 1923, 5616, 10104, 454, 305, 269, 594, 269, 7799, 11252, 267, 661, 269, 3212, 10722, 553, 267, 631, 269, 594, 269, 8776, 3626, 267, 595, 269, 6742, 6403, 928, 345, 13305, 650, 2728, 1263, 320, 267, 631, 269, 9603, 10722, 553, 267, 543, 808, 269, 29443, 553, 267, 968, 293, 518, 7695, 10597, 519, 1543, 540, 6915, 5562, 7135, 538, 8459, 21167, 21555, 2223, 5253, 11061, 267, 2019, 269, 476, 15094, 267, 6032, 269, 476, 29340, 1700, 31134, 267, 476, 1001, 276, 24707, 693, 281, 21629, 13505, 1923, 5616, 10104, 454, 302, 269, 595, 269, 5136, 1712, 267, 589, 269, 670, 269, 29615, 321, 599, 334, 267, 543, 595, 269, 9149, 267, 968, 294, 553, 24885, 2762, 2173, 817, 26563, 4479, 2079, 543, 538, 20117, 7409, 7480, 2360, 540, 943, 14535, 1460, 546, 716, 2643, 32070, 700, 269, 2201, 1883, 11476, 26582, 538, 13119, 2223, 4750, 540, 14997, 2329, 543, 24103, 1758, 657, 344, 3194, 267, 2019, 269, 476, 279, 267, 1100, 269, 476, 276, 267, 6032, 269, 476, 275, 4037, 1700, 275, 3445, 267, 476, 1708, 271, 24707, 693, 281, 5616, 10104, 454, 303, 269, 23347, 2006, 4660, 340, 267, 670, 269, 715, 655, 8643, 267, 645, 269, 8585, 27004, 267, 590, 269, 918, 269, 2725, 9618, 267, 590, 269, 8000, 3570, 267, 543, 590, 269, 10548, 326, 29914, 571, 334, 267, 968, 300, 527, 580, 908, 12117, 540, 14039, 704, 710, 538, 519, 12214, 3541, 1052, 906, 540, 1164, 3170, 2732, 13251, 8377, 538, 838, 4048, 826, 546, 1177, 2917, 14148, 2223, 6314, 4815, 5174, 8344, 29568, 267, 2019, 269, 476, 21854, 267, 6032, 269, 476, 5655, 1700, 7906, 267, 476, 1001, 275, 24707, 693, 281, 21629, 13505, 1923, 5616, 10104, 454, 289, 269, 13690, 267, 918, 269, 13690, 267, 590, 269, 10557, 1696, 620, 1421, 968, 17484, 582, 26375, 17466, 21729, 648, 331, 1314, 656, 1198, 540, 929, 684, 639, 1086, 3821, 7936, 593, 9678, 3731, 5247, 25714, 513, 677, 320, 2223, 715, 19153, 267, 2019, 269, 476, 1556, 267, 476, 1001, 280, 24707, 693, 281, 21629, 13505, 1923, 5616, 10104, 454, 306, 269, 631, 269, 589, 269, 20961, 267, 590, 269, 589, 269, 681, 269, 10878, 336, 12858, 267, 715, 269, 16189, 597, 267, 590, 269, 2098, 2378, 541, 267, 631, 269, 13019, 1090, 267, 543, 808, 269, 715, 529, 541, 267, 968, 12901, 328, 1506, 13630, 2400, 543, 4550, 30104, 28309, 573, 2438, 2534, 540, 25694, 8715, 534, 4301, 1349, 540, 681, 879, 342, 6504, 807, 1583, 25871, 2088, 538, 11549, 3626, 14148, 2223, 667, 846, 268, 25215, 2945, 267, 2019, 269, 476, 1240, 267, 1100, 269, 476, 274, 267, 6032, 269, 476, 272, 1700, 278, 267, 476, 1708, 271, 24707, 693, 281, 21629, 13505, 1923, 5616, 10104, 454, 303, 269, 27804, 5633, 267, 570, 269, 645, 27739, 267, 700, 269, 645, 269, 24622, 839, 328, 1696, 620, 1421, 968, 13312, 675, 6776, 1198, 540, 21555, 267, 8454, 543, 1079, 7135, 476, 273, 10382, 267, 476, 274, 15512, 267, 476, 866, 10382, 2389, 686, 5139, 32611, 268, 2720, 268, 1321, 10276, 268, 2764, 268, 18757, 3679, 543, 476, 276, 31622, 32611, 268, 274, 267, 476, 277, 267, 476, 278, 267, 476, 279, 267, 476, 275, 12664, 268, 25871, 600, 996, 20293, 4148, 822, 821, 689, 6299, 639, 887, 21542, 1030, 565, 3780, 3911, 269, 630, 305, 657, 19687, 264, 3762, 538, 14148, 2223, 10878, 684, 2106, 4149, 577, 332, 1221, 324, 6199, 779, 19964, 540, 24103, 1108, 267, 2019, 269, 476, 29496, 267, 1100, 269, 476, 275, 267, 6032, 269, 476, 31620, 1700, 11740, 267, 476, 1001, 278, 24707, 693, 281, 21629, 13505, 1923, 5616, 10104, 454, 291, 269, 717, 269, 918, 836, 267, 670, 269, 7937, 267, 670, 269, 570, 269, 932, 2426, 267, 543, 670, 269, 590, 269, 10557, 267, 968, 1103, 22128, 540, 2587, 3999, 839, 514, 14291, 11747, 676, 12776, 657, 704, 6193, 3679, 645, 9678, 689, 2234, 1460, 2892, 16129, 324, 2113, 339, 1640, 9071, 21289, 536, 25128, 2223, 24103, 1670, 3194, 267, 2019, 269, 476, 1704, 267, 1100, 269, 476, 279, 267, 6032, 269, 476, 280, 1704, 1700, 280, 736, 267, 476, 1220, 274, 24707, 693, 281, 21629, 13505, 1923, 5616, 10104, 454, 306, 269, 2274, 2426, 543, 918, 269, 2494, 267, 968, 22546, 338, 540, 519, 25694, 1349, 540, 2892, 16129, 2113, 339, 1640, 9071, 21289, 630, 323, 753, 1156, 264, 543, 922, 13101, 512, 753, 327, 3626, 622, 645, 10276, 878, 1117, 1106, 593, 1973, 2604, 2223, 24695, 339, 8839, 3194, 267, 2019, 269, 476, 2190, 267, 1100, 269, 476, 276, 267, 6032, 269, 476, 278, 7597, 1700, 6507, 275, 267, 476, 1001, 271, 24707, 693, 281, 21629, 13505, 1923, 5616, 10104, 454, 297, 269, 744, 269, 681, 269, 2549, 6403, 30959, 267, 595, 269, 15516, 267, 631, 269, 589, 269, 623, 269, 1325, 659, 3930, 267, 543, 744, 269, 590, 269, 717, 269, 7780, 328, 2946, 337, 30959, 267, 968, 292, 13231, 1470, 1642, 552, 2739, 334, 4550, 6062, 13630, 839, 16343, 632, 5487, 2892, 16129, 1085, 583, 749, 926, 32403, 679, 796, 2203, 334, 632, 13158, 553, 28624, 13630, 839, 553, 2223, 21896, 631, 2946, 323, 3821, 267, 2019, 269, 476, 4391, 267, 1100, 269, 476, 272, 267, 6032, 269, 476, 7871, 1700, 2568, 267, 476, 1220, 277, 24707, 693, 281, 5616, 10104, 454, 289, 269, 717, 269, 5244, 267, 654, 269, 590, 269, 1744, 514, 267, 590, 269, 7937, 267, 717, 269, 631, 269, 5244, 267, 715, 269, 594, 269, 13690, 267, 543, 590, 269, 10557, 267, 968, 288, 3209, 4550, 30104, 11364, 8665, 267, 521, 1173, 778, 668, 523, 565, 667, 689, 7286, 9466, 13479, 267, 521, 1173, 817, 636, 3623, 1172, 770, 5300, 267, 11851, 338, 12242, 2962, 607, 606, 700, 15178, 6970, 273, 266, 8756, 3625, 518, 543, 7736, 582, 3559, 514, 589, 20324, 273, 13805, 21087, 626, 2223, 12713, 16955, 543, 5709, 1400, 11061, 267, 2019, 269, 476, 1839, 267, 1100, 269, 476, 1704, 267, 6032, 269, 476, 275, 5038, 280, 1700, 275, 4792, 276, 267, 476, 1001, 278, 24707, 693, 281, 21629, 13505, 1923, 5616, 10104, 454, 288, 269, 595, 269, 4210, 691, 543, 595, 269, 8055, 267, 968, 9556, 1637, 540, 6722, 665, 20294, 1355, 267, 7777, 665, 20294, 1355, 543, 543, 4088, 2504, 538, 670, 27768, 2281, 676, 959, 1307, 655, 710, 267, 513, 8544, 19830, 710, 11656, 521, 576, 2280, 1756, 1349, 2223, 4750, 540, 6599, 333, 2684, 29108, 1108, 267, 2019, 269, 476, 10082, 267, 6032, 269, 476, 3374, 1700, 3393, 267, 476, 1001, 277, 24707, 693, 281, 21629, 13505, 1923, 5616, 10104, 454, 290, 269, 631, 269, 14339, 337, 6403, 326, 22222, 8566, 2117, 17144, 267, 808, 269, 595, 269, 22859, 714, 7304, 340, 714, 267, 700, 269, 3131, 18054, 7232, 3832, 591, 337, 17144, 1696, 620, 1421, 968, 12901, 9171, 656, 267, 4550, 1506, 13630, 2400, 267, 4550, 268, 30104, 16744, 23303, 267, 543, 21734, 2534, 540, 25694, 21555, 689, 12964, 5065, 2371, 540, 519, 586, 1075, 27979, 5032, 2223, 12813, 24382, 2290, 267, 2019, 269, 476, 1691, 267, 1100, 269, 476, 274, 267, 6032, 269, 476, 272, 1700, 1704, 267, 476, 1001, 280, 24707, 693, 281, 5616, 10104, 454, 303, 269, 966, 269, 8776, 637, 5937, 584, 534, 267, 589, 269, 12113, 516, 4275, 6953, 1069, 657, 21034, 267, 543, 631, 269, 589, 269, 4236, 732, 345, 14114, 549, 701, 5633, 267, 968, 12901, 328, 30104, 28309, 2438, 543, 4550, 1506, 13630, 2400, 2360, 540, 3303, 592, 2088, 3193, 9874, 538, 606, 1930, 3732, 540, 11204, 2551, 281, 513, 16861, 1867, 2223, 26100, 1749, 538, 2657, 543, 8376, 267, 2019, 269, 476, 277, 267, 533, 269, 476, 3451, 267, 476, 1220, 278, 24707, 693, 281, 21629, 13505, 1923, 5616, 10104, 454, 302, 269, 744, 269, 3657, 14153, 267, 595, 269, 631, 269, 570, 1092, 267, 595, 269, 681, 269, 29828, 8643, 7304, 639, 833, 1696, 620, 1421, 968, 10907, 1393, 543, 1016, 7302, 3055, 4550, 1506, 13630, 2400, 3601, 540, 20579, 1314, 659, 636, 6815, 1400, 324, 6978, 630, 307, 5357, 264, 543, 3597, 630, 307, 3036, 1070, 892, 3690, 13905, 540, 519, 9576, 5980, 540, 3162, 4000, 267, 2019, 269, 476, 10619, 267, 1100, 269, 476, 273, 267, 6032, 269, 476, 15171, 1700, 15946, 267, 476, 1001, 280, 24707, 693, 281, 21629, 13505, 1923, 5616, 10104, 454, 310, 269, 2473, 269, 18708, 267, 2098, 269, 717, 269, 2098, 29697, 267, 700, 269, 670, 269, 15651, 267, 590, 269, 808, 269, 24204, 267, 543, 2098, 269, 590, 269, 9149, 836, 267, 968, 6944, 1503, 540, 13119, 538, 14148, 1210, 19979, 3334, 540, 3762, 540, 3454, 639, 24060, 18424, 15254, 2223, 2904, 9461, 4750, 540, 6599, 333, 2684, 29108, 1108, 267, 2019, 269, 476, 15221, 267, 1100, 269, 476, 272, 267, 6032, 269, 476, 29616, 1700, 27123, 267, 476, 1001, 273, 24707, 693, 281, 21629, 13505, 1923, 5616, 10104, 454, 292, 269, 715, 269, 700, 269, 8751, 267, 595, 269, 5915, 537, 613, 582, 267, 744, 269, 645 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 3674, 901, 12474, 6435, 995, 888, 2171, 2811, 19914, 547, 917, 713, 2376, 729, 5363, 563, 3963, 616, 519, 19114, 538, 20211, 24961, 865, 2462, 610, 1114, 982, 1250, 17002, 781, 19114, 888, 2252, 23893, 607, 2398, 5793, 630, 528, 2422, 2398, 5793, 7433, 23994, 264, 568, 13087, 538, 20211, 24961, 8525, 5590, 1575, 267, 519, 19114, 7298, 538, 519, 20211, 24961, 11768, 616, 1346, 11280, 676, 519, 8837, 17002, 9920, 585, 519, 4867, 5697, 17002, 543, 1957, 2450, 563, 6624, 1804, 3898, 23252, 4019, 741, 2838, 5934, 19114, 547, 782, 2985, 7306, 282, 585, 1383, 267, 1804, 19114, 949, 581, 10268, 593, 513, 1507, 2985, 2450, 269, 0, 26872, 318, 9474, 22552, 16898, 281, 634, 7262, 568, 519, 1152, 4628, 1922, 1194, 3022, 4670, 9135, 3989, 676, 10923, 4087, 269, 8616, 1281, 713, 1611, 602, 1747, 267, 610, 513, 2631, 540, 1747, 267, 3267, 14872, 454, 2005, 568, 1419, 1767, 267, 543, 21862, 839, 262, 5128, 859, 12097, 519, 3239, 267, 602, 519, 4137, 1744, 2033, 4564, 568, 602, 540, 519, 27585, 2144, 7949, 540, 14880, 1014, 10828, 630, 1492, 2078, 602, 10953, 1063, 1744, 2033, 543, 631, 4115, 10060, 21884, 849, 5267, 18707, 540, 700, 766, 14309, 543, 2871, 710, 3164, 1070, 855, 538, 824, 24947, 1744, 2033, 781, 1909, 568, 602, 540, 519, 2749, 1922, 15929, 5869, 540, 8106, 13299, 630, 306, 15939, 1030, 518, 729, 5128, 8036, 607, 513, 5929, 626, 264, 1107, 519, 5869, 945, 1793, 904, 519, 20599, 602, 814, 3144, 15896, 540, 513, 1747, 267, 543, 676, 713, 957, 540, 3592, 9161, 5208, 6087, 519, 2208, 540, 513, 9758, 1480, 2146, 269, 769, 8106, 13299, 1018, 568, 10032, 538, 713, 957, 568, 711, 1175, 513, 17116, 13442, 267, 855, 513, 22514, 15607, 540, 606, 4505, 942, 267, 513, 11347, 540, 606, 3592, 840, 16058, 1931, 269, 280, 15742, 569, 267, 609, 1010, 2178, 1915, 267, 1010, 28278, 3068, 267, 543, 519, 1379, 646, 5751, 936, 1010, 2367, 267, 27550, 12027, 814, 1945, 540, 519, 5920, 540, 971, 513, 840, 25993, 4137, 267, 834, 534, 856, 7116, 539, 25384, 5601, 2668, 1015, 634, 24134, 646, 3947, 540, 1010, 1318, 547, 519, 2244, 267, 1247, 3006, 6010, 2989, 547, 513, 28676, 534, 20237, 540, 3959, 267, 568, 5310, 6251, 547, 602, 540, 519, 14610, 945, 3217, 15896, 998, 21037, 269, 27550, 12027, 13187, 602, 621, 729, 646, 945, 1101, 8118, 909, 519, 2244, 267, 945, 22617, 539, 621, 689, 1852, 540, 519, 4258, 344, 26413, 12075, 630, 663, 814, 606, 15561, 3650, 538, 1010, 13105, 547, 6961, 621, 1916, 14294, 881, 14688, 267, 10060, 21884, 781, 6450, 583, 2145, 540, 27550, 12027, 781, 3409, 5673, 17697, 569, 593, 513, 30671, 540, 21037, 607, 513, 11307, 11582, 540, 2140, 593, 519, 12406, 267, 14356, 267, 602, 972, 941, 1866, 945, 941, 972, 1354, 27550, 12027, 267, 855, 811, 11932, 602, 9758, 2140, 5673, 593, 2146, 6284, 9497, 1492, 2229, 19823, 2864, 982, 835, 812, 781, 25195, 540, 15896, 269, 901, 568, 513, 2629, 1448, 538, 519, 4670, 267, 2094, 1454, 540, 922, 5817, 4661, 666, 581, 2938, 547, 1964, 538, 519, 1871, 540, 2146, 936, 1022, 1367, 4324, 543, 2523, 538, 519, 6207, 1871, 540, 2146, 543, 1920, 936, 9270, 540, 7443, 610, 6071, 946, 17032, 269, 634, 2244, 3294, 5526, 607, 602, 799, 2771, 1622, 2146, 543, 998, 799, 2146, 568, 13087, 1107, 711, 607, 602, 799, 568, 3274, 547, 581, 23699, 585, 5301, 540, 1367, 23918, 269, 1744, 2033, 781, 957, 540, 11318, 27550, 12027, 267, 799, 849, 1797, 11318, 1346, 945, 1034, 2047, 3635, 1010, 786, 267, 12077, 14355, 543, 21546, 267, 568, 711, 3274, 1776, 3236, 540, 5208, 26922, 547, 519, 5208, 676, 799, 27550, 12027, 26356, 540, 519, 4258, 344, 26413, 267, 855, 568, 3079, 513, 18349, 540, 519, 2856, 540, 519, 2244, 607, 1641, 547, 1367, 786, 543, 519, 3635, 540, 602, 786, 543, 519, 9591, 538, 922, 1747, 540, 519, 6240, 2687, 547, 799, 519, 2244, 568, 519, 4493, 585, 2146, 269, 5047, 267, 1744, 2033, 781, 1378, 536, 15085, 7219, 12641, 611, 5920, 568, 849, 2303, 633, 540, 1010, 8446, 609, 519, 2244, 3294, 1107, 7429, 14355, 267, 4171, 811, 6671, 1205, 1575, 13462, 1864, 547, 519, 2749, 689, 799, 646, 2501, 630, 514, 713, 2463, 267, 21862, 839, 3648, 1821, 28179, 689, 519, 26841, 538, 5576, 320, 1030, 518, 781, 3209, 538, 799, 1744, 2033, 781, 7802, 267, 4352, 6825, 676, 946, 267, 568, 4330, 607, 25144, 4158, 267, 543, 646, 31273, 513, 3109, 12966, 267, 513, 3109, 11058, 267, 543, 513, 3109, 16536, 1688, 12027, 27815, 5180, 1010, 8405, 1556, 1040, 769, 713, 6073, 267, 1744, 2033, 949, 1256, 2408, 607, 18220, 532, 519, 6891, 540, 519, 2244, 3294, 267, 8429, 3803, 10385, 593, 27550, 12027, 2436, 585, 1010, 27315, 995, 721, 584, 335, 566, 540, 2140, 610, 3274, 585, 2348, 7979, 1882, 1010, 1697, 942, 563, 763, 15982, 6935, 540, 2146, 543, 2244, 1107, 540, 2146, 543, 1747, 1107, 568, 835, 540, 519, 16999, 267, 4352, 5310, 1034, 11593, 3144, 16519, 3766, 337, 5896, 267, 2609, 538, 21862, 839, 262, 4670, 563, 763, 14860, 602, 10741, 909, 538, 519, 4670, 781, 3355, 5311, 13315, 782, 540, 519, 2962, 602, 13604, 10953, 269, 769, 713, 2463, 267, 519, 4670, 568, 519, 1650, 267, 711, 1152, 540, 519, 10060, 4958, 1206, 543, 540, 27550, 12027, 267, 855, 540, 519, 14860, 3294, 269, 14608, 14688, 267, 4352, 27550, 12027, 6811, 519, 14860, 607, 1010, 1378, 1107, 607, 519, 2039, 593, 799, 646, 12651, 1010, 12418, 1107, 621, 568, 538, 519, 1507, 12440, 540, 5656, 602, 1118, 909, 519, 4884, 630, 1492, 17051, 19431, 781, 267, 519, 15678, 267, 543, 519, 5916, 3046, 543, 2489, 4558, 602, 568, 717, 2761, 517, 781, 1321, 1070, 543, 2523, 538, 717, 2761, 517, 781, 3046, 267, 602, 568, 1141, 649, 1034, 1419, 1294, 1864, 543, 1010, 2367, 269, 6145, 519, 26704, 20599, 602, 9810, 3278, 513, 2898, 24781, 267, 855, 18562, 3788, 585, 519, 1034, 851, 538, 513, 2582, 561, 1515, 267, 27550, 12027, 1932, 267, 585, 782, 602, 646, 6811, 519, 14860, 607, 1010, 2039, 267, 4667, 5097, 547, 4866, 547, 1175, 835, 1747, 267, 543, 606, 9703, 1747, 693, 602, 269, 1635, 4334, 267, 519, 4630, 652, 1737, 619, 267, 519, 10060, 4958, 1206, 1851, 873, 267, 1847, 1063, 835, 1776, 781, 6811, 267, 543, 1063, 1346, 6811, 543, 519, 4884, 269, 769, 513, 6429, 1305, 593, 519, 4884, 781, 28200, 14629, 609, 519, 4630, 652, 1737, 619, 10356, 585, 1412, 1805, 821, 13665, 262, 8776, 9445, 781, 19746, 267, 649, 1294, 267, 689, 519, 835, 29459, 267, 1312, 519, 4884, 630, 3602, 27550, 12027, 781, 2367, 2933, 4585, 519, 11018, 593, 519, 14629, 264, 543, 519, 4259, 620, 697, 540, 519, 19159, 781, 19970, 269, 634, 14860, 3294, 5526, 607, 606, 954, 15062, 539, 3126, 540, 4025, 602, 568, 27648, 998, 519, 9348, 1231, 543, 6811, 10362, 547, 519, 4630, 652, 1737, 619, 267, 519, 4884, 267, 543, 519, 28200, 267, 782, 20583, 543, 14478, 936, 676, 519, 10239, 1472, 269, 898, 568, 1713, 602, 607, 519, 3527, 540, 27550, 24329, 262, 2367, 616, 9859, 693, 519, 9552, 540, 519, 4630, 652, 1737, 619, 11396, 267, 865, 789, 616, 849, 7722, 538, 519, 9552, 540, 519, 954, 15062, 539, 4025, 538, 799, 519, 4630, 652, 1737, 619, 262, 2146, 568, 8216, 7007, 563, 763, 1272, 540, 519, 4630, 652, 1737, 619, 849, 15225, 267, 538, 4334, 547, 602, 540, 27550, 12027, 543, 1010, 2367, 267, 513, 1454, 811, 15982, 6278, 609, 519, 2244, 269, 634, 4630, 652, 1737, 619, 6318, 17944, 630, 18522, 873, 693, 717, 2761, 517, 781, 4558, 264, 543, 14918, 267, 607, 1134, 607, 10683, 12418, 267, 543, 789, 2030, 7031, 269, 769, 1018, 568, 5310, 519, 1034, 4583, 6429, 689, 519, 4670, 267, 1744, 2033, 543, 15608, 10060, 21884, 960, 1927, 547, 4894, 513, 5458, 3109, 2989, 588, 2794, 689, 519, 2666, 2282, 519, 10060, 21884, 781, 19970, 269, 769, 3257, 865, 267, 789, 711, 1152, 3715, 519, 6125, 602, 6585, 1063, 873, 607, 2367, 267, 855, 849, 513, 6125, 1063, 2933, 543, 519, 1747, 1107, 513, 6125, 602, 568, 6913, 998, 519, 12572, 7004, 540, 519, 1747, 689, 513, 1747, 540, 4187, 547, 3110, 2787, 543, 14713, 883, 835, 5078, 585, 621, 269, 898, 568, 1744, 2033, 945, 4384, 919, 519, 6560, 609, 519, 588, 2794, 267, 543, 621, 568, 16172, 19952, 602, 1744, 2033, 15377, 1010, 536, 15085, 7219, 585, 8723, 4544, 960, 12641, 582, 1127, 269, 769, 631, 4115, 781, 2013, 267, 1200, 1202, 21564, 540, 1200, 1378, 1582, 5196, 519, 5251, 4386, 538, 606, 8449, 1713, 267, 855, 1360, 1114, 6752, 267, 998, 519, 1507, 543, 17866, 4677, 602, 1352, 814, 12630, 7258, 519, 19970, 269, 3502, 1152, 568, 621, 7925, 547, 2470, 630, 2254, 2406, 519, 13650, 602, 530, 1389, 15608, 344, 519, 6640, 1310, 1744, 2033, 781, 12625, 1070, 855, 519, 3355, 30925, 602, 4386, 607, 835, 540, 519, 4670, 781, 1360, 1101, 10207, 814, 27550, 12027, 781, 2367, 14964, 998, 519, 1507, 4677, 267, 8126, 1782, 538, 741, 9640, 262, 7953, 519, 12673, 602, 1665, 621, 1055, 267, 543, 911, 332, 7204, 519, 19155, 602, 723, 1044, 12630, 269, 898, 568, 1713, 602, 950, 1744, 2033, 26055, 909, 547, 519, 10060, 21884, 4630, 652, 1737, 267, 646, 1281, 711, 11878, 998, 519, 4677, 267, 855, 5402, 30417, 621, 269, 769, 4334, 547, 519, 8706, 2213, 2609, 538, 1744, 2033, 781, 1915, 630, 31138, 1256, 811, 9244, 1459, 538, 5576, 29195, 781, 1433, 267, 538, 799, 1744, 2033, 1256, 3091, 631, 4115, 3377, 543, 5796, 827, 2021, 781, 535, 1662, 687, 1070, 27550, 12027, 5128, 6799, 513, 759, 5193, 569, 5256, 4137, 267, 543, 519, 1895, 602, 27788, 1864, 568, 14311, 5256, 538, 1915, 269, 1306, 513, 1158, 13856, 676, 519, 2582, 5256, 1367, 267, 27550, 12027, 781, 1158, 3322, 1152, 519, 1034, 8766, 540, 3885, 1107, 5128, 543, 1010, 7015, 21546, 269, 1306, 971, 267, 621, 568, 513, 1158, 689, 799, 519, 21522, 814, 1044, 16934, 282, 513, 1158, 13856, 676, 922, 2250, 543, 1459, 267, 855, 513, 1158, 602, 3091, 2370, 538, 519, 1259, 540, 1022, 1483, 2104, 563, 763, 17804, 12331, 540, 1272, 6719, 676, 27550, 12027, 543, 519, 4630, 652, 1737, 619, 616, 4843, 538, 2474, 540, 1360, 1114, 12331, 540, 8901, 543, 1283, 4919, 1106, 269, 14608, 14688, 267, 713, 568, 849, 3020, 540, 519, 1259, 538, 799, 21862, 839, 6799, 519, 1894, 1063, 1114, 3197, 543, 741, 5107, 607, 5249, 856, 1369, 519, 4670, 269, 634, 1034, 6654, 1383, 540, 713, 568, 538, 519, 6498, 540, 5624, 1369, 717, 2761, 517, 781, 3046, 543, 4558, 269, 634, 3046, 568, 513, 5256, 2230, 267, 1247, 519, 454, 32697, 568, 2938, 267, 693, 2547, 676, 27550, 12027, 781, 2367, 267, 607, 4775, 269, 901, 814, 835, 3226, 1271, 2460, 912, 15290, 519, 4630, 652, 1737, 619, 3643, 519, 4558, 1927, 267, 2367, 267, 24726, 543, 1453, 1927, 267, 649, 1294, 835, 540, 21321, 773, 19159, 781, 20766, 3843, 593, 513, 11058, 538, 513, 11604, 267, 18281, 595, 9994, 599, 630, 13051, 9652, 264, 1287, 5526, 682, 1359, 3297, 1200, 269, 769, 930, 2081, 519, 6429, 568, 606, 9642, 835, 2016, 519, 575, 25311, 2470, 540, 519, 2230, 267, 543, 519, 1249, 602, 593, 1100, 824, 8317, 798, 27550, 12027, 781, 2367, 2479, 1935, 602, 851, 540, 519, 2679, 267, 1256, 10213, 1744, 2033, 267, 693, 835, 1448, 267, 547, 1205, 856, 540, 519, 3046, 267, 543, 1394, 609, 519, 2021, 269, 634, 6429, 2488, 835, 1507, 543, 1271, 24072, 2509, 18281, 262, 1378, 1219, 1254, 689, 27550, 12027, 781, 2014, 1107, 543, 538, 10207, 602, 941, 12995, 856, 540, 519, 3803, 2759, 540, 519, 4670, 267, 18281, 781, 682, 518, 568, 9927, 883, 513, 9758, 15832, 609, 19159, 781, 8250, 602, 5267, 646, 786, 1831, 851, 540, 519, 4630, 652, 1737, 532, 2146, 3294, 630, 514, 5576, 320, 1030, 518, 781, 4528, 540, 519, 1650, 267, 18281, 2501, 547, 960, 585, 10060, 21884, 1310, 1744, 2033, 781, 22576, 1107, 538, 519, 3803, 4528, 540, 519, 4670, 267, 646, 3274, 6645, 1744, 2033, 646, 568, 834, 638, 8636, 514, 262, 27550, 12027, 257, 1916, 763, 4276, 540, 8901, 15285, 547, 1909, 543, 4008, 15285, 568, 849, 10423, 538, 1082, 540, 519, 10207, 693 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 1477, 1721, 9041, 538, 2039, 17301, 9272, 28829, 8029, 825, 1990, 25507, 9272, 3890, 3418, 825, 737, 25507, 263, 4118, 28802, 18750, 267, 273, 17903, 825, 1820, 263, 273, 1262, 330, 3418, 24541, 0, 18851, 288, 265, 5690, 1759, 593, 5291, 2517, 4178, 269, 1042, 4565, 984, 31521, 2593, 9706, 987, 325, 4193, 21669, 3613, 541, 270, 574, 921, 7695, 11258, 20701, 5814, 19523, 454, 5228, 20313, 1104, 13405, 640, 20075, 826, 692, 3698, 646, 22618, 27316, 318, 272, 267, 6843, 318, 273, 2187, 825, 5727, 23005, 1149, 519, 16977, 1942, 2469, 689, 835, 4717, 547, 1776, 20701, 825, 2132, 2612, 27316, 318, 272, 314, 271, 316, 910, 6843, 318, 273, 314, 271, 8079, 1341, 2612, 27316, 318, 272, 314, 272, 316, 910, 6843, 318, 273, 314, 272, 20285, 3698, 513, 14067, 541, 14116, 1429, 267, 1376, 17045, 267, 3804, 17045, 2187, 825, 5727, 23005, 1149, 513, 1434, 2619, 689, 1376, 547, 3804, 1759, 593, 646, 22618, 12163, 825, 547, 318, 6665, 527, 815, 13405, 640, 20075, 826, 4590, 825, 547, 318, 6665, 527, 269, 1584, 9230, 271, 267, 1376, 17045, 4917, 825, 3357, 318, 5228, 815, 31460, 825, 1942, 318, 810, 6958, 541, 815, 31460, 825, 3357, 318, 5228, 314, 11034, 17045, 316, 815, 7183, 454, 825, 1942, 318, 810, 6958, 541, 314, 11034, 17045, 316, 815, 476, 271, 692, 825, 1247, 711, 547, 318, 6665, 527, 269, 24105, 10031, 1038, 1699, 17045, 815, 547, 318, 6665, 527, 10947, 3890, 314, 272, 6540, 1038, 952, 1699, 17045, 2652, 3804, 17045, 912, 2018, 2736, 692, 1038, 585, 1985, 17045, 538, 3113, 269, 31371, 26092, 263, 9690, 17045, 2187, 2018, 4287, 815, 630, 10113, 17045, 314, 271, 316, 910, 1699, 17045, 314, 271, 3910, 1985, 17045, 314, 272, 316, 910, 1699, 17045, 314, 272, 7481, 2018, 1007, 6831, 739, 815, 1942, 318, 810, 6958, 541, 314, 9690, 17045, 316, 1341, 3113, 6983, 739, 263, 9690, 17045, 267, 4287, 2020, 2018, 952, 1985, 17045, 711, 538, 1942, 318, 810, 6958, 541, 610, 1007, 6831, 739, 2999, 1942, 318, 810, 6958, 541, 314, 10113, 17045, 14158, 3546, 1942, 318, 810, 6958, 541, 314, 10113, 17045, 316, 815, 1007, 6831, 739, 454, 3546, 10862, 815, 1007, 6831, 739, 1341, 646, 22618, 263, 9690, 17045, 267, 1985, 17045, 994, 3546, 547, 318, 6665, 527, 269, 1584, 9230, 335, 1874, 640, 267, 1985, 17045, 4917, 3546, 3357, 318, 5228, 314, 10113, 17045, 316, 815, 1699, 17045, 692, 825, 2132, 6449, 28265, 24786, 263, 11034, 17045, 267, 3804, 17045, 267, 3357, 318, 5228, 2020, 3698, 1265, 24786, 14116, 1429, 267, 1376, 17045, 267, 3804, 17045, 267, 5690, 815, 513, 14067, 541, 2187, 825, 5727, 8340, 2619, 1063, 1079, 9136, 538, 513, 2016, 5690, 12163, 825, 2132, 5690, 14116, 1429, 267, 1376, 17045, 267, 3804, 17045, 2020, 3698, 1265, 318, 743, 657, 652, 17045, 27316, 318, 272, 267, 9136, 2187, 825, 5727, 8340, 338, 519, 14191, 6843, 10838, 513, 1592, 540, 9136, 12163, 825, 9803, 6831, 739, 17045, 815, 7183, 454, 825, 9803, 6831, 739, 815, 19523, 27982, 21653, 692, 825, 952, 711, 9136, 912, 1038, 2132, 9803, 6831, 739, 17045, 692, 825, 585, 6843, 318, 273, 538, 9136, 912, 1038, 1699, 6831, 739, 815, 646, 22618, 27316, 318, 272, 267, 6843, 318, 273, 2020, 1038, 952, 9803, 6831, 739, 3436, 1699, 6831, 739, 912, 2018, 9803, 6831, 739, 17045, 815, 6843, 318, 273, 454, 2018, 9803, 6831, 739, 815, 1699, 6831, 739, 692, 825, 2132, 9803, 6831, 739, 17045, 692, 3698, 1265, 6958, 691, 4554, 17045, 14116, 1429, 267, 6843, 318, 272, 2187, 825, 5727, 7476, 513, 17439, 4554, 1448, 2016, 513, 6843, 12163, 825, 9136, 815, 6449, 4148, 797, 6958, 650, 14116, 1429, 267, 6843, 318, 272, 994, 825, 5207, 6831, 739, 17045, 815, 7183, 454, 825, 5207, 6831, 739, 815, 476, 271, 692, 825, 585, 6843, 318, 273, 538, 9136, 912, 1038, 1699, 6831, 739, 815, 646, 22618, 27316, 318, 272, 267, 6843, 318, 273, 2020, 1038, 952, 1699, 6831, 739, 3436, 5207, 6831, 739, 912, 2018, 5207, 6831, 739, 17045, 815, 6843, 318, 273, 454, 2018, 5207, 6831, 739, 815, 1699, 6831, 739, 692, 825, 2132, 5207, 6831, 739, 17045, 692, 3698, 6449, 28265, 24786, 263, 11034, 17045, 267, 3804, 17045, 267, 9136, 2187, 825, 5727, 30395, 338, 513, 2619, 689, 1376, 547, 3804, 6843, 1759, 593, 3113, 540, 9136, 12163, 825, 1948, 12706, 2619, 5044, 1759, 593, 2619, 11837, 454, 825, 1699, 17045, 815, 3804, 17045, 454, 825, 2619, 815, 1592, 10797, 825, 1247, 1699, 17045, 11203, 1376, 17045, 912, 1038, 1948, 1403, 6843, 568, 711, 538, 11837, 267, 1100, 2619, 6818, 454, 1038, 952, 1699, 17045, 538, 9136, 912, 2018, 2619, 6910, 263, 9690, 17045, 994, 2018, 1699, 17045, 815, 9136, 314, 9690, 17045, 2639, 1038, 3116, 912, 2018, 1948, 5590, 2619, 547, 8900, 952, 1100, 2619, 6818, 543, 14827, 454, 2018, 2619, 815, 1592, 4590, 2018, 2736, 692, 825, 2619, 18622, 2091, 10797, 825, 2132, 2619, 692, 3698, 6449, 4148, 797, 6958, 650, 14116, 1429, 267, 6843, 2187, 825, 5727, 14503, 797, 25361, 1759, 593, 1699, 6843, 12163, 825, 2164, 815, 1496, 27161, 2639, 825, 9136, 815, 1496, 27161, 6540, 825, 1247, 7003, 3799, 3941, 264, 3436, 476, 271, 912, 1038, 1699, 17045, 815, 9136, 21014, 4590, 1038, 12543, 815, 3113, 269, 31371, 26092, 263, 9690, 17045, 2020, 1038, 585, 7023, 538, 12543, 912, 2018, 952, 7023, 711, 538, 2164, 912, 3546, 2164, 6910, 263, 31371, 4011, 994, 3546, 9136, 6910, 263, 31371, 4011, 2020, 825, 2132, 2164, 454, 0, 3698, 3070, 3799, 2187, 825, 2626, 815, 1412, 7055, 825, 952, 3799, 260, 273, 2525, 271, 2187, 1038, 2626, 815, 834, 424, 486, 502, 423, 364, 499, 257, 265, 842, 3799, 270, 273, 994, 825, 952, 3799, 260, 273, 2525, 272, 2187, 1038, 2626, 815, 834, 424, 486, 502, 423, 364, 499, 257, 265, 842, 3799, 270, 273, 11924, 257, 424, 486, 502, 4840, 8931, 825, 2132, 2626, 454, 258, 424, 486, 502, 423, 364, 499, 424, 486, 502, 423, 364, 499, 424, 486, 502, 454, 258, 424, 487, 377, 422, 366, 490, 29030, 496, 478, 29306, 486, 424, 506, 376, 423, 480, 502, 21844, 364, 482, 21498, 357, 17432, 506, 10563, 377, 498, 423, 497, 506, 423, 350, 506, 29030, 496, 478, 424, 500, 368, 423, 367, 368, 423, 358, 368, 454, 258, 2132, 834, 424, 486, 502, 423, 364, 499, 257, 16732, 333, 270, 273, 264, 1341, 834, 424, 486, 502, 257, 16732, 333, 260, 273, 994, 0, 5814, 2619, 12221, 454, 5814, 4351, 454, 5814, 5299, 692, 5228, 17511, 1104, 5903, 267, 8838, 1308, 267, 16515, 921, 7531, 28053, 815, 16515, 921, 27776, 267, 703, 2639, 290, 20635, 815, 5903, 27776, 2639, 294, 5090, 815, 5903, 314, 290, 20635, 6540, 454, 5035, 10794, 8170, 16908, 912, 8931, 825, 1219, 6449, 8181, 9191, 454, 1038, 1582, 2676, 1038, 2450, 281, 16515, 921, 27776, 267, 703, 16689, 1038, 4351, 1125, 281, 536, 944, 18989, 2676, 1038, 3193, 318, 10090, 725, 281, 8838, 1308, 314, 15615, 24557, 15615, 3488, 8882, 5073, 825, 3738, 9847, 7183, 912, 1038, 1948, 2843, 510, 3522, 13194, 9261, 21268, 17095, 6459, 20046, 3378, 10948, 4709, 22147, 3378, 10780, 17201, 9326, 454, 1038, 1582, 269, 4900, 267, 1582, 31815, 338, 815, 2450, 454, 1038, 1948, 2843, 509, 16417, 9686, 9924, 9686, 7846, 27569, 3264, 3264, 10780, 30718, 17201, 23845, 3264, 17095, 6459, 20046, 30718, 454, 1038, 1582, 269, 2181, 341, 318, 14749, 815, 1582, 269, 22056, 14682, 5090, 4590, 1038, 1948, 2843, 351, 3264, 7549, 7846, 27569, 3264, 3264, 10780, 30718, 17201, 23845, 3264, 17095, 6459, 20046, 30718, 454, 1038, 1582, 269, 2017, 337, 318, 14749, 815, 1582, 269, 22056, 14682, 5090, 263, 12690, 1125, 284, 12690, 1125, 994, 1038, 1948, 2843, 506, 3522, 7549, 4736, 4138, 9261, 3522, 23783, 21170, 3264, 24893, 25986, 6459, 3378, 10780, 30718, 17201, 23845, 13953, 454, 1038, 1582, 27982, 318, 10090, 725, 815, 3193, 318, 10090, 725, 454, 1038, 1948, 2843, 351, 3264, 7549, 7846, 27569, 3264, 3264, 24893, 25986, 6459, 3378, 10780, 30718, 17201, 23845, 13953, 454, 1038, 1582, 269, 10090, 725, 815, 476, 272, 692, 825, 1219, 1711, 14682, 5090, 4311, 267, 4351, 1125, 281, 536, 944, 25716, 264, 9847, 25373, 912, 1038, 7470, 815, 11713, 1038, 585, 1775, 538, 2039, 4311, 269, 4900, 2187, 2018, 7470, 6910, 8443, 271, 30297, 1345, 31815, 338, 994, 1038, 952, 4351, 1125, 912, 2018, 585, 1775, 538, 2039, 4311, 269, 4900, 2187, 3546, 585, 795, 538, 2039, 4311, 31815, 338, 2187, 7386, 7470, 5157, 6012, 329, 316, 815, 4351, 27110, 263, 271, 267, 476, 272, 994, 1038, 2132, 7470, 692, 825, 1219, 1205, 318, 31371, 321, 2293, 4311, 267, 1591, 281, 8426, 264, 9847, 19204, 912, 1038, 562, 815, 29129, 1038, 585, 1775, 538, 2039, 263, 3250, 314, 271, 316, 910, 476, 272, 267, 1591, 314, 271, 316, 1341, 476, 273, 2187, 2018, 585, 795, 538, 2039, 263, 3250, 314, 272, 316, 910, 476, 272, 267, 1591, 314, 272, 316, 1341, 476, 273, 2187, 3546, 952, 630, 328, 13843, 476, 271, 264, 543, 630, 328, 10922, 1582, 269, 4900, 910, 476, 272, 264, 543, 630, 329, 13843, 476, 271, 264, 543, 630, 329, 10922, 1582, 31815, 338, 910, 476, 272, 264, 543, 711, 630, 328, 2652, 1591, 314, 271, 316, 543, 795, 2652, 1591, 314, 272, 316, 2187, 7386, 562, 6910, 4311, 269, 2017, 337, 318, 14749, 5157, 6012, 329, 20285, 1038, 2132, 562, 692, 825, 1219, 1205, 318, 10113, 318, 14749, 4311, 264, 9847, 25373, 912, 1038, 1007, 14682, 5090, 815, 5299, 19709, 788, 32476, 4311, 269, 2017, 337, 318, 14749, 994, 1038, 585, 1775, 538, 2039, 4311, 269, 4900, 2187, 2018, 585, 795, 538, 2039, 4311, 31815, 338, 2187, 3546, 1064, 815, 630, 328, 267, 795, 994, 3546, 4423, 815, 476, 271, 454, 3546, 585, 737, 538, 2039, 12759, 4311, 10947, 318, 31371, 321, 2293, 263, 1842, 4297, 2187, 7386, 952, 1582, 10947, 318, 31371, 321, 2293, 263, 1842, 25011, 330, 316, 2652, 476, 272, 912, 13376, 4423, 6834, 476, 272, 454, 3546, 952, 1582, 269, 2017, 337, 318, 14749, 5157, 6012, 329, 316, 2652, 476, 272, 912, 7386, 952, 4423, 11203, 476, 273, 543, 4423, 11203, 476, 274, 912, 13376, 1007, 14682, 5090, 5157, 6012, 329, 316, 815, 476, 271, 454, 3546, 3116, 912, 7386, 952, 4423, 2652, 476, 274, 912, 13376, 1007, 14682, 5090, 5157, 6012, 329, 316, 815, 476, 272, 454, 1038, 2132, 1007, 14682, 5090, 692, 825, 1219, 1900, 4311, 264, 9847, 7183, 912, 1038, 8173, 1038, 31560, 9924, 10528, 17201, 17221, 31224, 16068, 9686, 4138, 4709, 16044, 486, 3522, 15671, 15800, 15671, 4814, 9924, 563, 1038, 8173, 1038, 1582, 269, 2181, 341, 318, 14749, 815, 5299, 19709, 788, 32476, 4311, 269, 2017, 337, 318, 14749, 994, 1038, 1582, 269, 2017, 337, 318, 14749, 815, 1582, 10947, 318, 10113, 318, 14749, 4590, 1038, 1582, 269, 10090, 725, 6834, 476, 272, 692, 825, 7711, 27393, 1399, 454, 825, 1219, 568, 26174, 318, 10090, 725, 318, 1410, 3865, 539, 4311, 264, 9847, 536, 944, 912, 1038, 8173, 1038, 2843, 507, 3264, 10780, 16417, 8563, 9924, 4736, 4138, 6459, 3378, 2843, 375, 4138, 476, 16021, 7549, 7846, 27569, 3264, 3264, 24893, 25986, 6459, 3378, 10780, 30718, 17201, 23845, 13953, 20413, 3522, 7549, 4736, 4138, 9261, 3522, 23783, 21170, 18194, 5284, 379, 7846, 13150, 4138, 9261, 3378, 3264, 563, 1038, 8173, 1038, 952, 1582, 27982, 318, 10090, 725, 3436, 1582, 269, 10090, 725, 912, 2018, 2132, 6936, 454, 1038, 3116, 912, 2018, 2132, 8771, 454, 825, 7711, 27393, 1399, 454, 825, 1219, 568, 15220, 4474, 4311, 264, 9847, 536, 944, 912, 1038, 8173, 1038, 2843, 502, 13194, 9261, 23845, 6459, 25974, 9841, 2843, 375, 4138, 11012, 3378, 13150, 3378, 9326, 17221, 3264, 17095, 6459, 20046, 30718, 11012, 10780, 16417, 9686, 9924, 9686, 7846, 27569, 3264, 15671, 3378, 16044, 486, 3522, 15671, 3522, 563, 1038, 8173, 1038, 952, 1582, 269, 2017, 337, 318, 14749, 11203, 1582, 269, 2181, 341, 318, 14749, 912, 2018, 2132, 6936, 454, 1038, 3116, 912, 2018, 2132, 8771, 692, 825, 7711, 18878, 24709, 454, 825, 1219, 689, 18316, 6600, 32327, 281, 2619, 12221, 10422, 987, 264, 9847, 1412, 29228, 8170, 16908, 12466, 1038, 8173, 1038, 2843, 509, 4814, 3378, 10948, 4138, 4344, 28476, 11012, 3378, 13150, 3378, 9326, 17221, 3264, 17095, 6459, 20046, 30718, 15800, 13194, 27188, 18547, 13194, 31606, 4709, 22147, 3378, 16044, 482, 3522, 13953, 20977, 563, 1038, 8173, 1038 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 1492, 8685, 338, 1223, 711, 3514, 547, 519, 3177, 19880, 5624, 267, 519, 8685, 338, 941, 1932, 2462, 269, 0, 9223, 281, 769, 476, 9610, 278, 267, 16299, 1733, 9231, 2023, 729, 8195, 7083, 26302, 540, 5507, 543, 26302, 540, 799, 3943, 4884, 888, 12585, 281, 1608, 9820, 0, 9223, 281, 1280, 799, 540, 891, 1079, 7653, 1281, 519, 1292, 1915, 630, 15367, 3096, 594, 270, 1889, 270, 3240, 264, 798, 1945, 5693, 25432, 4636, 267, 2687, 547, 8723, 5837, 4441, 538, 519, 2475, 607, 540, 476, 1708, 271, 286, 31950, 9222, 476, 272, 1923, 594, 11542, 23900, 3330, 519, 30981, 269, 31950, 9222, 476, 273, 1923, 1879, 1250, 8250, 1202, 1235, 602, 1352, 568, 1932, 30299, 547, 581, 6068, 267, 594, 3858, 609, 1200, 563, 288, 269, 654, 3994, 267, 654, 3994, 454, 289, 269, 654, 3994, 267, 3502, 4636, 454, 290, 269, 3502, 4636, 267, 654, 3994, 454, 291, 269, 3502, 4636, 267, 3502, 4636, 454, 12585, 281, 595, 0, 454, 9223, 281, 6904, 4845, 814, 519, 2953, 18781, 1931, 281, 513, 834, 1957, 2699, 4816, 834, 536, 834, 2699, 1957, 4816, 834, 15017, 476, 932, 7860, 281, 3097, 288, 269, 513, 454, 289, 269, 536, 454, 12585, 281, 645, 0, 4467, 1584, 619, 543, 22997, 281, 1215, 547, 2759, 535, 3317, 601, 269, 15579, 519, 535, 3317, 601, 1524, 18172, 593, 513, 5969, 4604, 269, 10163, 519, 535, 3317, 601, 593, 922, 2427, 593, 513, 1100, 1606, 28309, 5969, 4604, 269, 15579, 621, 11931, 609, 707, 1875, 1673, 11395, 1688, 269, 476, 2755, 535, 3317, 601, 568, 711, 1634, 547, 581, 2523, 31868, 2044, 267, 621, 568, 1869, 513, 8797, 2856, 547, 3180, 621, 1869, 593, 513, 11259, 2627, 547, 2061, 621, 689, 1793, 6235, 2476, 896, 707, 9787, 269, 589, 30736, 5969, 4604, 1568, 2523, 1134, 267, 855, 513, 3044, 3574, 5969, 4604, 666, 960, 1134, 267, 1932, 269, 0, 9223, 281, 634, 5547, 693, 623, 2117, 14639, 5937, 7275, 879, 593, 682, 3502, 516, 5937, 877, 267, 513, 812, 13402, 6532, 538, 519, 853, 269, 18039, 5211, 267, 568, 3957, 1310, 799, 16771, 540, 519, 16754, 2290, 2622, 29073, 1222, 585, 10256, 888, 12585, 281, 575, 14792, 5636, 2940, 340, 557, 0, 9223, 281, 18293, 267, 6576, 630, 22129, 3377, 264, 1862, 834, 763, 267, 26367, 568, 513, 1732, 21802, 6345, 267, 834, 29739, 23819, 30004, 1160, 345, 528, 990, 267, 519, 17485, 518, 269, 834, 2005, 8604, 607, 952, 621, 941, 28617, 1310, 1169, 1434, 1847, 267, 594, 917, 594, 1058, 723, 29041, 621, 585, 519, 19160, 540, 18495, 2073, 855, 594, 1175, 7948, 1405, 3094, 2437, 646, 9307, 543, 695, 809, 1010, 2212, 8909, 569, 269, 1160, 345, 528, 990, 781, 29359, 729, 3838, 676, 694, 516, 1537, 6264, 18544, 945, 941, 1459, 267, 930, 540, 7247, 941, 865, 909, 564, 602, 789, 22551, 539, 693, 519, 3684, 269, 3509, 21802, 5716, 1767, 602, 713, 5921, 519, 1439, 540, 21802, 23594, 4721, 476, 1472, 519, 1158, 267, 2094, 519, 1187, 1185, 1044, 3144, 856, 540, 519, 3014, 269, 634, 2780, 15336, 610, 2864, 267, 18202, 268, 12537, 609, 476, 276, 267, 1822, 9489, 538, 16101, 2724, 543, 3908, 922, 24616, 547, 513, 1305, 540, 21089, 543, 8279, 269, 6904, 540, 519, 1739, 1655, 3947, 519, 1292, 2856, 540, 713, 11356, 2376, 888, 288, 269, 476, 276, 267, 1822, 9489, 4422, 547, 513, 2780, 2336, 289, 269, 1715, 8798, 281, 320, 28617, 2780, 2336, 290, 269, 2622, 781, 1655, 21802, 6345, 29041, 2336, 291, 269, 8950, 9396, 1846, 812, 538, 21802, 2336, 12585, 281, 667, 0, 2304, 1383, 540, 513, 8093, 568, 519, 7633, 540, 1018, 2186, 540, 3662, 286, 530, 21317, 856, 0, 763, 1739, 616, 2789, 3903, 2055, 630, 5976, 4267, 264, 827, 1455, 2631, 780, 9223, 281, 16010, 543, 6355, 281, 1496, 3650, 518, 316, 1215, 547, 1118, 2724, 593, 552, 321, 599, 1496, 27583, 316, 8073, 606, 552, 321, 599, 2272, 269, 1496, 21163, 316, 1403, 596, 1810, 1405, 2907, 723, 835, 267, 596, 3513, 991, 547, 979, 2228, 543, 1711, 606, 2272, 593, 552, 321, 599, 269, 634, 2272, 568, 1863, 543, 2636, 596, 547, 7500, 607, 513, 22673, 610, 513, 23138, 269, 3097, 288, 269, 9796, 3007, 547, 519, 2985, 543, 519, 1344, 593, 519, 2985, 269, 898, 786, 2995, 596, 1018, 2186, 540, 813, 596, 723, 593, 707, 2780, 543, 1018, 824, 6589, 621, 786, 948, 596, 1305, 909, 563, 289, 269, 1677, 1711, 707, 552, 321, 599, 2272, 267, 4945, 593, 519, 834, 1711, 707, 2272, 834, 7735, 538, 519, 1283, 1318, 7944, 540, 519, 5496, 269, 634, 3888, 518, 786, 1287, 4945, 593, 519, 834, 1711, 513, 1007, 552, 321, 599, 2272, 834, 7735, 543, 1305, 707, 1699, 4558, 547, 513, 536, 2683, 5279, 610, 693, 2547, 707, 1699, 4558, 781, 1804, 267, 4914, 5638, 563, 290, 269, 1496, 11357, 25074, 316, 4495, 596, 723, 606, 2272, 267, 596, 666, 2845, 538, 547, 1250, 552, 321, 599, 543, 3950, 707, 14193, 2388, 267, 2070, 536, 1749, 543, 6494, 543, 4309, 15737, 269, 10925, 930, 2219, 883, 519, 2012, 596, 3442, 585, 707, 552, 321, 599, 3593, 7329, 563, 291, 269, 1496, 11357, 25074, 316, 8564, 519, 834, 11578, 834, 7735, 593, 519, 5377, 1318, 1688, 2427, 540, 519, 4216, 269, 8437, 593, 834, 11578, 3688, 834, 543, 6445, 856, 519, 3877, 563, 12585, 281, 595, 0, 2691, 621, 3357, 547, 519, 3902, 540, 519, 2777, 12756, 729, 711, 536, 6139, 1042, 855, 23729, 534, 729, 1317, 12756, 729, 3638, 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 ]
[ 971, 607, 17984, 267, 23832, 18346, 267, 543, 10987, 563, 3719, 562, 770, 4669, 1756, 338, 616, 811, 982, 1175, 513, 7168, 3068, 256, 5272, 851, 540, 519, 2030, 568, 17580, 1107, 519, 3762, 267, 5810, 267, 11710, 267, 543, 1762, 6079, 10540, 338, 269, 769, 1249, 267, 741, 28401, 6438, 8137, 2306, 513, 1390, 1840, 547, 25235, 269, 15788, 267, 713, 2306, 562, 770, 4669, 1756, 338, 1360, 11684, 3379, 547, 1034, 5388, 543, 15496, 2371, 563, 2414, 8011, 538, 3395, 513, 562, 770, 4669, 1756, 2030, 267, 1832, 538, 2247, 602, 1697, 14450, 543, 15028, 3037, 2175, 616, 5393, 1271, 269, 634, 4341, 568, 2241, 1107, 798, 711, 936, 4248, 707, 562, 770, 4669, 1756, 338, 543, 1118, 2386, 547, 2030, 873, 538, 1134, 1673, 20995, 267, 22501, 3037, 269, 898, 568, 849, 27209, 547, 946, 8770, 11656, 3037, 267, 607, 713, 666, 1267, 538, 22350, 10731, 16714, 2208, 693, 519, 13258, 540, 5810, 563, 15563, 267, 1832, 538, 2247, 602, 2407, 7943, 568, 606, 1271, 12146, 547, 3895, 24526, 2208, 540, 891, 5810, 269, 3680, 9544, 707, 562, 770, 4669, 1756, 338, 538, 695, 8014, 2127, 952, 596, 1616, 873, 547, 16036, 1527, 2224, 569, 563, 2691, 798, 562, 770, 4669, 1756, 338, 16036, 888, 763, 1034, 19179, 1243, 4090, 267, 1310, 7836, 4374, 12391, 585, 513, 562, 770, 4669, 1756, 2030, 267, 568, 7487, 922, 4190, 267, 29116, 23469, 5810, 269, 1656, 267, 899, 1034, 15496, 2371, 267, 562, 770, 4669, 1756, 338, 798, 723, 513, 1978, 942, 540, 519, 1032, 950, 789, 4043, 547, 3132, 811, 18742, 563, 2252, 596, 616, 899, 1034, 8049, 22254, 267, 596, 4440, 723, 513, 1906, 2055, 827, 707, 562, 770, 4669, 1756, 779, 28480, 1974, 269, 6744, 856, 519, 4122, 4280, 2055, 2630, 547, 1451, 811, 827, 713, 15496, 2030, 563, 272, 269, 769, 1018, 3923, 798, 562, 770, 4669, 1756, 338, 16036, 888, 2026, 5018, 5892, 267, 562, 770, 4669, 1756, 338, 8853, 538, 3636, 16374, 267, 865, 621, 1058, 711, 581, 513, 9983, 602, 741, 7168, 5810, 16036, 811, 1527, 2224, 569, 1282, 519, 15911, 3275, 269, 901, 1797, 596, 786, 2693, 1294, 707, 562, 770, 4669, 1756, 338, 15496, 689, 2904, 2394, 5181, 269, 5269, 2386, 547, 1683, 873, 609, 519, 1655, 2009, 1416, 1282, 891, 3275, 267, 865, 602, 596, 666, 2972, 811, 18742, 538, 707, 4677, 563, 273, 269, 1215, 1279, 1281, 621, 1491, 585, 562, 770, 4669, 1756, 338, 547, 16036, 888, 301, 770, 4669, 1756, 338, 616, 835, 540, 519, 15864, 543, 16595, 32704, 1359, 2371, 547, 1332, 269, 1358, 3335, 1376, 547, 8768, 827, 2185, 547, 3670, 4374, 1310, 9544, 267, 543, 519, 28480, 1974, 11148, 547, 2063, 9425, 1279, 269, 4595, 562, 770, 4669, 1756, 338, 4782, 15911, 5210, 267, 789, 616, 1655, 12630, 1310, 519, 3463, 540, 15470, 814, 8694, 563, 274, 269, 4024, 562, 770, 4669, 1756, 338, 2097, 1394, 1169, 1032, 888, 7212, 562, 770, 4669, 1756, 338, 616, 2808, 17506, 10118, 538, 10851, 8370, 547, 476, 1556, 267, 789, 616, 811, 3622, 2808, 5993, 338, 269, 9747, 267, 693, 519, 1439, 540, 741, 3395, 4783, 267, 562, 770, 4669, 1756, 338, 666, 556, 5498, 539, 2933, 543, 2097, 1394, 1169, 1032, 269, 4256, 5452, 666, 10351, 3729, 3533, 267, 1932, 2336, 301, 770, 4669, 1756, 338, 3335, 3132, 4190, 18742, 1369, 513, 3923, 610, 1079, 1310, 519, 5452, 723, 6707, 10351, 3990, 269, 1717, 267, 789, 1522, 711, 8768, 2429, 519, 1032, 2094, 789, 3870, 519, 15911, 3275, 547, 16036, 563, 13349, 4128, 562, 770, 4669, 1756, 338, 798, 711, 16036, 454, 6624, 22254, 616, 5458, 11655, 540, 562, 770, 4669, 1756, 338, 267, 7064, 547, 741, 4190, 267, 1397, 344, 5810, 269, 1809, 1018, 952, 707, 2371, 616, 711, 6721, 519, 18742, 596, 4397, 286, 1284, 723, 7396, 519, 1034, 1455, 4128, 2630, 912, 272, 269, 14606, 568, 1932, 15417, 454, 6944, 9009, 547, 1018, 1082, 1522, 1589, 267, 562, 770, 4669, 1756, 338, 8853, 1655, 538, 4057, 3037, 282, 15417, 3037, 786, 711, 3895, 28480, 563, 2791, 1522, 1869, 1332, 707, 562, 770, 4669, 1756, 338, 538, 8770, 11656, 3037, 267, 855, 713, 786, 1291, 547, 17382, 1512, 2208, 540, 519, 3762, 3079, 540, 519, 5810, 1107, 543, 1034, 22254, 1332, 562, 770, 4669, 1756, 338, 585, 741, 32154, 18742, 267, 2864, 982, 519, 16714, 2336, 2414, 5000, 707, 562, 770, 4669, 1756, 338, 547, 16036, 267, 3442, 513, 1863, 1673, 20995, 22501, 3037, 607, 513, 3395, 5420, 269, 1684, 711, 1039, 18168, 267, 2523, 1346, 1164, 538, 9436, 267, 607, 713, 666, 17225, 8768, 2504, 563, 273, 269, 8899, 5210, 454, 301, 770, 4669, 1756, 338, 4043, 547, 3132, 811, 5810, 1282, 519, 3636, 652, 3275, 540, 519, 1032, 269, 1924, 267, 952, 596, 616, 711, 7487, 707, 2371, 16036, 267, 621, 949, 581, 1317, 519, 4411, 3275, 616, 711, 2943, 936, 256, 27016, 585, 519, 4832, 3275, 547, 12446, 543, 267, 607, 519, 5210, 2253, 547, 4473, 267, 707, 562, 770, 4669, 1756, 338, 616, 2386, 547, 4159, 741, 6653, 267, 13049, 268, 2023, 539, 5810, 563, 274, 269, 19768, 540, 7943, 454, 301, 770, 4669, 1756, 338, 616, 3141, 2000, 8221, 2371, 267, 543, 585, 1655, 2164, 789, 991, 827, 3670, 547, 5216, 3108, 540, 1463, 7943, 1169, 1554, 563, 2252, 707, 562, 770, 4669, 1756, 338, 616, 711, 6721, 741, 7168, 18742, 267, 1223, 621, 581, 602, 789, 616, 711, 8391, 6190, 7943, 286, 1358, 1522, 1869, 1332, 538, 9864, 12094, 267, 855, 789, 1131, 581, 1360, 12691, 547, 3132, 5810, 563, 31535, 519, 2956, 540, 2407, 7943, 4598, 267, 596, 1058, 4061, 882, 11229, 707, 562, 770, 4669, 1756, 338, 547, 606, 1858, 1141, 789, 666, 1205, 2614, 540, 621, 269, 3807, 1118, 2386, 547, 7444, 1035, 743, 574, 520, 1125, 873, 547, 519, 17321, 4087, 547, 2057, 2837, 2566, 563, 275, 269, 8555, 704, 18309, 454, 301, 770, 4669, 1756, 338, 798, 711, 8209, 991, 2834, 18309, 267, 855, 538, 930, 2665, 789, 1522, 4324, 689, 18309, 543, 4666, 3650, 532, 547, 2226, 741, 2450, 543, 3337, 563, 2252, 596, 616, 3395, 707, 2371, 538, 513, 8708, 610, 16304, 11127, 267, 18309, 873, 689, 942, 547, 942, 1522, 581, 1655, 547, 4383, 741, 2450, 269, 634, 911, 4979, 8677, 666, 849, 1831, 682, 1375, 344, 543, 30255, 267, 543, 5969, 873, 1394, 568, 519, 1655, 1259, 547, 2061, 873, 689, 32415, 519, 2230, 540, 824, 2371, 538, 707, 4677, 269, 2558, 574, 519, 11710, 676, 827, 3670, 547, 476, 1321, 6279, 547, 1832, 873, 3337, 569, 543, 1369, 707, 5551, 2450, 269, 1280, 519, 17382, 8677, 267, 596, 666, 32521, 1055, 6170, 5810, 543, 12015, 3762, 547, 3895, 1007, 2208, 563, 4913, 267, 596, 1058, 1152, 2759, 873, 1394, 1310, 707, 562, 770, 4669, 1756, 338, 616, 2944, 15496, 1107, 23295, 1472, 3735, 5614, 269, 27275, 18309, 1522, 849, 2061, 873, 689, 15496, 267, 865, 1118, 2386, 547, 32566, 1152, 950, 2556, 563, 276, 269, 2659, 2371, 991, 811, 942, 547, 8768, 454, 15919, 267, 782, 596, 991, 568, 513, 2370, 9639, 547, 1294, 707, 2371, 3132, 741, 4190, 18742, 269, 715, 770, 4669, 1756, 338, 991, 827, 2185, 547, 3670, 4374, 547, 1332, 689, 19155, 547, 4628, 28004, 2371, 269, 7201, 519, 1318, 3395, 2175, 267, 596, 1058, 581, 2111, 547, 2972, 741, 5810, 1472, 519, 15795, 3018, 1310, 9544, 563, 301, 770, 4669, 1756, 338, 4782, 15911, 2175, 547, 8853, 267, 865, 2503, 873, 547, 8768, 1282, 519, 4832, 3275, 2394, 15489, 269, 2755, 7996, 585, 519, 4190, 5810, 547, 12446, 267, 1118, 2386, 602, 707, 2371, 4309, 519, 1655, 2009, 1416, 585, 5488, 543, 8902, 2208, 269, 1656, 267, 1034, 11932, 267, 723, 9639, 256, 7201, 15028, 2175, 267, 707, 3646, 786, 15983, 581, 30039, 609, 32154, 18742, 602, 596, 666, 2972, 607, 4677, 7718, 610, 606, 1840, 547, 707, 25235, 2336, 15862, 281, 568, 339, 1442, 874, 9369, 2593, 1315, 2372, 553, 541, 874, 9369, 0, 14946, 618, 1852, 7939, 630, 291, 10135, 264, 616, 4031, 267, 3652, 267, 543, 6042, 6608, 25666, 547, 10038, 6237, 4683, 1646, 563, 5445, 1683, 4808, 585, 3384, 513, 2749, 610, 1858, 5812, 609, 922, 1514, 267, 2804, 267, 2825, 267, 543, 2168, 2175, 269, 9823, 20745, 616, 2556, 585, 1022, 1804, 8397, 4683, 1646, 1317, 789, 948, 547, 2327, 602, 519, 1184, 3217, 1747, 538, 606, 1931, 569, 267, 3608, 267, 543, 4264, 6073, 563, 1432, 1772, 513, 4886, 6513, 19938, 888, 288, 9823, 305, 568, 513, 1305, 540, 6042, 19775, 676, 2229, 8128, 547, 1852, 519, 1646, 540, 513, 2016, 1858, 269, 1452, 6042, 1852, 1585, 3344, 540, 4683, 1646, 267, 971, 607, 2244, 946, 4058, 267, 4070, 2238, 267, 543, 519, 2825, 4027, 269, 1358, 616, 849, 5497, 547, 2327, 602, 1646, 540, 606, 1858, 568, 2944, 538, 606, 1931, 569, 543, 3608, 6073, 563, 763, 3119, 3804, 568, 547, 2327, 602, 519, 1646, 1184, 4386, 538, 606, 13476, 4264, 6073, 269, 901, 1797, 1022, 1788, 609, 1761, 2825, 5222, 1590, 581, 5402, 12290, 1354, 13170, 269, 634, 4879, 1058, 2015, 519, 1764, 593, 2011, 2298, 267, 1216, 2200, 267, 9265, 267, 543, 824, 2067, 2200, 563, 31413, 1646, 3785, 666, 5352, 1713, 2804, 2534, 676, 2870, 6009, 543, 18398, 5092, 269, 9823, 20745, 3391, 9367, 865, 602, 789, 666, 11694, 519, 2804, 2640, 602, 741, 3785, 3142, 547, 519, 3148, 269, 1358, 849, 1683, 1898, 5583, 593, 4180, 4264, 1646, 4386, 865, 602, 519, 2804, 2640, 616, 13455, 936, 942, 563, 1103, 1840, 547, 2804, 543, 2825, 9270, 267, 9823, 20745, 1590, 849, 2015, 519, 1514, 6286, 540, 4683, 1646, 3785, 269, 1452, 6042, 666, 2232, 8027, 26622, 267, 1569, 547, 1857, 2533, 543, 29319, 267, 543, 519, 991, 547, 8190, 8978, 5656, 563, 29936, 543, 10298, 538, 12124, 19791, 454, 31413, 2127, 1459, 2189, 2591, 269, 667, 1619, 569, 20651, 4872, 949, 991, 811, 2230, 585, 1007, 4070, 3785, 269, 7102, 9516, 1788, 1590, 5402, 2015, 519, 5222, 593, 4540, 3889, 543, 2533, 269, 3958, 267, 4683, 2127, 949, 723, 2362, 2157, 540, 2011, 5533, 610, 6808, 20316, 267, 2495, 602, 9823, 20745, 1590, 2015, 891, 2188, 950, 1237, 1324, 3785, 563, 14946, 619, 1590, 849, 2015, 519, 8369, 540, 8639, 12936, 676, 741, 1788, 267, 971, 607, 7264, 543, 4213, 538, 519, 1858, 269, 10298, 1331, 3246, 10097, 8027, 610, 13180, 585, 4213, 602, 949, 882, 11229, 1813, 547, 519, 4070, 1788, 563, 763, 8177, 540, 5303, 454, 22897, 7760, 723, 1185, 513, 1713, 1764, 593, 4683, 1646, 269, 1280, 1383, 267, 649, 666, 6895, 519, 3356, 998, 19025, 547, 3432, 909, 519, 1184, 3379, 547, 2757, 2409, 563, 12234, 267, 1239, 2079, 2029, 666, 1683, 3407, 4030, 883, 519, 5222, 540, 1646, 3785, 1354, 789, 616, 17298, 269, 898, 2337, 547, 17354, 547, 2285, 513, 811, 4977, 942, 18134, 543, 2569, 1942, 563, 14946, 618, 1852, 6042, 616, 1898, 585, 15725, 543, 5883, 4683, 2127, 19100, 543, 30396, 269, 10318, 1456, 519, 3617, 1305, 540, 3652, 585, 9823, 20745, 568, 4101, 543, 3340, 9645, 2219, 543, 4058, 547, 2327, 602, 782, 8639, 616, 7157, 2808, 563, 296, 6557, 681, 1803, 1912, 600, 8227, 540, 575, 2465, 802, 327, 809, 2593, 269, 2060, 513, 6612, 585, 519, 5767, 10509, 7760, 267, 1775, 2488, 16367, 4930, 543, 3102, 8039, 593, 3584, 899, 5985, 3457, 269, 4256, 2502, 1543, 543, 2702, 547, 14458, 1950, 2035, 723, 13631, 513, 10121, 3988, 1222, 269, 3414, 575, 2465, 802, 327, 809, 2593, 267, 594, 6663, 547, 8115, 519, 7934, 1063, 2029, 543, 4948, 1272, 267, 16779, 3988, 547, 6330, 519, 2479, 19145, 3059, 1158, 269, 0, 298, 573, 2284, 10007, 538, 5243, 616, 513, 1713, 1072, 6161, 269, 898, 568, 1898, 547, 1174, 519, 3123, 267, 4191, 267, 543, 875, 547, 1416, 585, 707, 24566, 3659, 6849, 713, 1072, 4161, 563, 8139, 26640, 853, 2158, 538, 17268, 454, 298, 573, 2284, 10007, 267, 610, 26669, 1503, 603, 338, 267, 616, 2182, 7777, 21272, 602, 1020, 538, 513, 2915, 779, 14401, 269, 15316, 2010, 540, 10007, 2291, 267, 543, 741, 5250, 568, 6766, 676, 3875, 2188, 1519, 2732, 267, 4719, 32739, 267, 17256, 8778, 5563, 267, 543, 1978, 6527, 269, 634, 1034, 1455, 2010, 616, 3521, 341, 924, 543, 7513, 3404, 531, 622, 10007, 563, 27246, 540, 26640, 853, 2158, 538, 17268, 454, 6624, 2188, 3565 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 258, 9612, 676, 13445, 692, 2971, 8249, 28562, 609, 10439, 2358, 2147, 547, 31679, 668, 3626, 4144, 21192, 1384, 23742, 614, 676, 281, 12474, 1826, 912, 25111, 912, 20806, 3188, 1377, 1384, 2162, 13379, 344, 9046, 692, 7462, 8609, 281, 476, 274, 7420, 5426, 1384, 763, 6516, 2982, 513, 1360, 5230, 10051, 22277, 269, 898, 3112, 581, 24850, 855, 621, 666, 581, 9187, 6838, 1472, 513, 7944, 269, 634, 4305, 568, 547, 1847, 621, 267, 1510, 23510, 267, 538, 513, 3126, 540, 7140, 827, 519, 15174, 865, 602, 621, 269, 1547, 1547, 16317, 2162, 2558, 823, 692, 7462, 8609, 281, 476, 274, 7420, 5426, 1384, 5723, 7374, 9128, 21203, 568, 513, 476, 274, 676, 476, 274, 676, 476, 274, 13306, 269, 8672, 623, 568, 476, 272, 270, 274, 2059, 9474, 630, 7474, 568, 6673, 2433, 623, 289, 815, 476, 272, 2433, 476, 273, 1070, 1448, 1627, 568, 476, 272, 270, 274, 2059, 23435, 543, 1448, 681, 568, 476, 272, 270, 274, 2059, 11581, 269, 1548, 568, 519, 1858, 540, 519, 6906, 623, 304, 305, 2496, 2162, 634, 6196, 3619, 1846, 692, 7462, 8609, 281, 476, 274, 7420, 5426, 1384, 288, 14328, 2361, 814, 1079, 9708, 609, 513, 8258, 593, 1283, 540, 1142, 2022, 269, 1703, 616, 1079, 29170, 14843, 727, 23161, 543, 7899, 540, 887, 6647, 799, 596, 666, 17063, 547, 741, 2458, 1513, 269, 1215, 666, 596, 5150, 873, 865, 789, 666, 1405, 269, 1547, 1547, 16317, 2162, 700, 8104, 302, 7420, 910, 19449, 3380, 607, 12292, 692, 7462, 8609, 281, 476, 274, 543, 476, 275, 7420, 5426, 1384, 8450, 952, 596, 666, 18783, 20422, 1412, 10090, 725, 262, 540, 519, 1079, 2831, 3254, 1934, 780, 2162, 570, 1221, 5455, 692, 7462, 8609, 281, 476, 274, 7420, 5426, 1384, 1103, 513, 1318, 2587, 1194, 21083, 2361, 267, 1614, 2831, 616, 512, 9220, 1042, 547, 9708, 693, 519, 30268, 540, 1142, 2427, 269, 3962, 18052, 568, 1175, 1279, 2614, 547, 1450, 519, 3662, 547, 3914, 1079, 11105, 14622, 269, 8307, 835, 3662, 269, 1547, 1547, 16317, 2162, 570, 25523, 1117, 571, 570, 6856, 692, 7462, 8609, 281, 476, 274, 7420, 5426, 1384, 2304, 12150, 25543, 28353, 568, 7768, 540, 2185, 1114, 12730, 269, 2052, 971, 513, 25543, 28353, 581, 9112, 1141, 519, 2427, 13080, 616, 476, 275, 267, 476, 276, 267, 476, 277, 267, 476, 278, 267, 476, 279, 543, 476, 280, 4559, 540, 3259, 2496, 2162, 2353, 570, 1221, 5455, 692, 7462, 8609, 281, 476, 275, 7420, 5426, 1384, 288, 26781, 8255, 1472, 513, 4216, 865, 602, 621, 2306, 513, 2347, 8520, 609, 1079, 6252, 4773, 540, 26781, 593, 519, 1283, 269, 1215, 1279, 786, 519, 26781, 581, 2496, 2162, 634, 30064, 543, 519, 26850, 692, 7462, 8609, 281, 476, 275, 7420, 5426, 1384, 288, 17178, 568, 9361, 538, 519, 1647, 540, 835, 540, 519, 10545, 6821, 538, 513, 4055, 543, 513, 8038, 568, 16889, 22290, 519, 6885, 269, 1548, 568, 519, 20125, 3845, 519, 17178, 1131, 723, 547, 31770, 547, 6952, 519, 8038, 2496, 2162, 17029, 1782, 15907, 692, 7462, 8609, 281, 476, 274, 7420, 5426, 1384, 288, 5858, 20061, 1472, 519, 3544, 6316, 540, 513, 4009, 865, 602, 922, 18592, 2141, 18953, 519, 6316, 540, 519, 4009, 269, 2052, 596, 4766, 519, 30580, 540, 519, 8998, 540, 519, 5858, 2496, 2162, 13368, 539, 692, 7462, 8609, 281, 476, 274, 7420, 5426, 1384, 5353, 1597, 1507, 14328, 5961, 723, 835, 10759, 2647, 14604, 269, 634, 14604, 616, 6569, 543, 519, 5961, 616, 19034, 1927, 899, 513, 795, 12127, 1177, 547, 1118, 513, 13551, 540, 3259, 476, 1321, 6279, 269, 4855, 519, 7516, 540, 269, 1547, 1547, 16317, 2162, 28981, 513, 28116, 692, 7462, 8609, 281, 476, 274, 7420, 5426, 1384, 288, 3368, 2275, 4209, 568, 2759, 883, 1079, 4773, 676, 513, 7077, 998, 519, 1279, 15497, 543, 693, 1318, 7285, 547, 621, 269, 2052, 596, 2721, 513, 2121, 540, 891, 4773, 286, 3657, 789, 9838, 2496, 2162, 570, 559, 1154, 10222, 9201, 692, 7462, 8609, 281, 476, 275, 7420, 5426, 1384, 288, 1318, 268, 22931, 568, 30801, 6906, 568, 29352, 827, 519, 8998, 1448, 540, 513, 4009, 269, 1548, 666, 596, 2161, 827, 519, 1858, 540, 519, 851, 540, 519, 4009, 4988, 676, 519, 6906, 607, 621, 29226, 2496, 2162, 631, 10212, 956, 18903, 692, 7462, 8609, 281, 476, 274, 7420, 5426, 1384, 2791, 666, 1847, 519, 476, 275, 4773, 540, 519, 795, 12127, 1177, 543, 3514, 873, 883, 1312, 14592, 269, 11512, 1018, 814, 5949, 547, 519, 7508, 835, 1770, 540, 1858, 780, 2162, 6875, 14210, 692, 7462, 8609, 281, 476, 274, 7420, 5426, 1384, 3674, 621, 2009, 547, 4894, 4557, 1770, 18695, 689, 513, 476, 274, 676, 476, 274, 676, 476, 274, 13306, 1500, 689, 476, 2767, 1770, 18695, 865, 602, 519, 2627, 1858, 540, 519, 6967, 4396, 568, 519, 1482, 607, 519, 2627, 1858, 540, 519, 3312, 476, 274, 676, 476, 274, 676, 476, 274, 269, 1547, 1547, 16317, 2162, 6145, 513, 17781, 538, 513, 9454, 531, 692, 7462, 8609, 281, 476, 273, 267, 476, 274, 543, 476, 275, 7420, 5426, 1384, 288, 10464, 543, 2241, 11442, 609, 6266, 540, 6128, 269, 2052, 596, 4612, 519, 2592, 602, 616, 3812, 286, 2052, 596, 3589, 519, 4806, 602, 786, 581, 3812, 1210, 1114, 14743, 2496, 2162, 570, 25523, 12384, 692, 7462, 8609, 281, 476, 274, 7420, 5426, 1384, 5723, 7374, 568, 513, 2834, 25543, 28353, 543, 519, 2798, 623, 267, 1627, 267, 681, 543, 590, 616, 519, 4571, 9557, 540, 519, 8728, 9474, 267, 30183, 267, 7131, 543, 11404, 269, 28171, 602, 623, 304, 11965, 568, 513, 4009, 780, 2162, 10060, 717, 5074, 692, 7462, 8609, 281, 476, 275, 7420, 5426, 1384, 8340, 519, 5223, 540, 519, 9018, 26484, 1858, 547, 519, 6418, 1858, 585, 513, 3670, 11329, 5182, 543, 606, 5216, 11329, 5182, 780, 2162, 1323, 1133, 639, 783, 23426, 692, 7462, 8609, 281, 476, 274, 7420, 5426, 1384, 4692, 596, 12366, 1047, 519, 1858, 2139, 547, 513, 21737, 23820, 2496, 2162, 15585, 908, 21121, 692, 7462, 8609, 281, 476, 274, 543, 476, 275, 7420, 5426, 1384, 1432, 4523, 547, 519, 15943, 540, 6906, 13235, 607, 519, 1079, 4130, 10580, 1689, 2450, 543, 5066, 1472, 3330, 519, 8273, 5858, 2496, 2162, 4856, 5090, 832, 692, 7462, 8609, 281, 476, 275, 7420, 5426, 1384, 288, 476, 1015, 343, 1015, 343, 1015, 13306, 568, 1500, 689, 476, 2767, 476, 273, 343, 273, 18695, 609, 23725, 832, 1063, 873, 269, 4855, 519, 20125, 8905, 689, 835, 7944, 547, 519, 6587, 7944, 780, 2162, 2598, 4167, 692, 7462, 8609, 281, 476, 274, 7420, 5426, 1384, 2005, 568, 2009, 547, 26819, 1022, 4009, 883, 4130, 10945, 269, 1548, 568, 519, 5934, 1297, 540, 10945, 513, 476, 1724, 676, 476, 1724, 4009, 666, 581, 26819, 539, 883, 2496, 2162, 3955, 4167, 532, 19449, 3380, 692, 7462, 8609, 281, 476, 274, 7420, 5426, 1384, 16248, 10580, 723, 513, 5021, 540, 3670, 28963, 609, 1142, 824, 269, 1548, 568, 519, 5021, 1297, 540, 28963, 602, 513, 4627, 10580, 1223, 723, 2496, 2162, 681, 10620, 27984, 692, 7462, 8609, 281, 476, 274, 7420, 5426, 1384, 32622, 623, 267, 1627, 267, 681, 543, 590, 1142, 7941, 519, 5011, 9474, 267, 7460, 267, 7131, 543, 21096, 6606, 538, 519, 5223, 540, 476, 273, 2433, 476, 272, 269, 15012, 519, 2798, 269, 1548, 568, 519, 1858, 540, 519, 25521, 623, 304, 11965, 538, 6935, 547, 519, 3312, 13551, 2496, 2162, 918, 7238, 333, 12127, 6199, 692, 7462, 8609, 281, 476, 274, 7420, 5426, 1384, 4692, 596, 3444, 1142, 540, 519, 5722, 13123, 602, 6443, 519, 5087, 543, 5045, 540, 519, 5757, 547, 519, 1079, 10195, 267, 2899, 543, 2899, 1152, 267, 1510, 1427, 571, 1424, 707, 3268, 2496, 2162, 774, 4181, 2345, 692, 7462, 8609, 281, 476, 274, 7420, 5426, 1384, 5331, 606, 28222, 1804, 6656, 540, 4009, 12297, 1399, 1957, 593, 799, 596, 666, 2721, 12730, 540, 1022, 2450, 596, 6999, 630, 25075, 4575, 1142, 14584, 568, 593, 513, 12297, 1040, 1548, 2127, 568, 621, 270, 529, 621, 711, 2009, 547, 2721, 2496, 2162, 645, 4926, 692, 7462, 8609, 281, 476, 274, 7420, 5426, 1384, 288, 1668, 8905, 814, 513, 2698, 8653, 540, 476, 2412, 3764, 269, 5272, 476, 1015, 3764, 267, 1079, 21772, 1305, 856, 267, 835, 689, 1142, 1439, 269, 1215, 1082, 21772, 786, 835, 1668, 2743, 593, 922, 1259, 689, 835, 1439, 547, 519, 824, 1439, 2496, 2162, 14484, 532, 12384, 569, 692, 7462, 8609, 281, 476, 274, 7420, 5426, 1384, 1103, 875, 1082, 2081, 666, 596, 3514, 782, 1614, 4773, 1927, 547, 1118, 5546, 609, 1899, 15340, 2496, 2162, 3627, 781, 21541, 1772, 593, 5384, 692, 7462, 8609, 281, 476, 274, 7420, 5426, 1384, 288, 5721, 3762, 593, 942, 269, 2991, 621, 814, 8854, 476, 279, 5195, 630, 520, 476, 3451, 332, 874, 264, 519, 9920, 5654, 693, 1010, 4585, 543, 12034, 602, 519, 5662, 1688, 568, 4010, 936, 519, 8792, 1688, 269, 1879, 1705, 519, 5721, 4734, 519, 6728, 2496, 2162, 1849, 18088, 692, 7462, 8609, 281, 476, 274, 7420, 5426, 1384, 3674, 621, 2009, 547, 30337, 519, 2338, 476, 272, 267, 273, 27401, 1321, 1472, 513, 9219, 3068, 538, 971, 513, 1259, 602, 1169, 1079, 2338, 538, 11105, 7158, 8428, 676, 1022, 540, 476, 274, 267, 476, 275, 610, 476, 276, 3108, 2496, 2162, 10222, 9201, 10738, 8293, 4100, 692, 7462, 8609, 281, 476, 275, 7420, 5426, 1384, 4692, 596, 1265, 513, 4341, 799, 12211, 21083, 2338, 547, 4009, 2338, 2496, 2162, 7537, 14875, 692, 7462, 8609, 281, 476, 275, 7420, 5426, 1384, 4692, 596, 946, 519, 6516, 547, 6961, 519, 7537, 8566, 300, 8635, 2496, 7462, 8609, 281, 476, 274, 7420, 5426, 1384, 4692, 596, 1665, 476, 275, 2798, 593, 513, 6366, 2627, 865, 602, 972, 616, 1152, 1079, 1114, 9883, 1063, 873, 2496, 2162, 1703, 543, 7982, 11088, 692, 7462, 8609, 281, 476, 274, 7420, 5426, 1384, 289, 559, 2692, 4422, 593, 606, 7045, 267, 1354, 21945, 1394, 1753, 269, 4635, 519, 1344, 2016, 827, 1010, 3460, 267, 666, 596, 960, 856, 1141, 31167, 2692, 2729, 2496, 2162, 1849, 12177, 5510, 692, 7462, 8609, 281, 476, 273, 267, 476, 274, 543, 476, 275, 7420, 5426, 1384, 296, 1336, 891, 23234, 538, 519, 8551, 10418, 693, 519, 2160, 540, 2782, 19213, 10578, 910, 798, 789, 2731, 991, 2185, 23234, 543, 1018, 2053, 1131, 581, 24813, 609, 1152, 1079, 610, 1614, 540, 873, 2496, 2162, 22947, 540, 519, 4469, 756, 321, 1231, 692, 7462, 8609, 281, 476, 274, 7420, 5426, 1384, 23325, 4469, 756, 321, 1231, 616, 865, 23279, 540, 741, 2699, 4891, 602, 789, 786, 711, 4734, 873, 593, 741, 1378, 609, 1022, 824, 536, 826, 4469, 756, 16535, 269, 1548, 568, 519, 2656, 652, 1259, 540, 3478, 519, 2947, 8424, 540, 4469, 756, 321, 1231, 9108, 547, 269, 1547, 1547, 16317, 2162, 23738, 26664, 700, 3430, 823, 18745, 692, 7462, 8609, 281, 476, 275, 7420, 5426, 1384, 763, 6906, 744, 300, 301, 814, 14622, 593, 519, 17887, 609, 2898, 1297, 1071, 268, 24002, 269, 1215, 1082, 2798, 609, 2898, 1297, 10974, 616, 972, 593, 519, 30494, 30400, 2496, 2162, 2051, 10696, 3798, 2471, 692, 7462, 8609, 281, 476, 274, 7420, 5426, 1384, 763, 2898, 1305, 540, 17981, 568, 1031, 547, 1118, 513, 4009, 269, 901, 814, 513, 3039, 543, 4544, 8473, 269, 1703, 616, 1100, 3039, 610, 4544, 17981, 9170, 538, 519, 4009, 4849, 593, 713, 8473, 269, 1215, 1082, 17981, 616, 972, 538, 519, 1305, 2496, 2162, 23694, 5295, 692, 7462, 8609, 281, 476, 272, 267, 476, 273, 543, 476, 274, 692, 12385, 24136, 568, 519, 1353, 540, 3270, 269, 24356, 4806, 568, 606, 4316, 547, 7747, 267, 24370, 1047, 267, 4603, 267, 3605, 543, 1711, 780, 2162, 27006, 10699, 525, 692, 7462, 8609, 281, 476, 274, 7420, 5426, 1384, 5331, 596, 723, 3670, 1114, 15437, 540, 5862, 269, 1411, 5862, 513, 13306, 1210, 513, 1114, 7990, 585, 1142, 540, 519, 3670, 8188, 269, 1215, 1082, 1114, 18695, 666, 581, 13556, 1210, 519, 1482, 1305, 540, 3670, 15437, 2496, 2162, 1230, 557, 343, 12443, 326, 976, 692, 7462, 8609, 281, 476, 274, 7420, 5426, 1384, 17004, 602, 1851, 519, 9703, 7285, 540, 513, 23756, 20372, 972, 3112, 581, 811, 982, 1614, 8650, 7285, 780, 2162, 1230, 3118, 781, 4258, 20960, 4580, 8136, 692, 7462, 8609, 281, 476, 274, 7420, 5426, 1384, 2080, 568, 513, 1151, 7534, 790, 1826, 1604, 585, 596, 547, 4603, 609 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 1012, 2999, 476, 1556, 4033, 12596, 602, 596, 666, 4194, 1210, 519, 1482, 18452, 338, 692, 20238, 3780, 2986, 769, 30533, 539, 17781, 284, 6912, 9230, 306, 655, 23803, 9014, 2986, 21121, 910, 306, 728, 589, 31618, 306, 655, 23803, 9014, 2986, 21121, 910, 306, 728, 645, 31618, 306, 655, 23803, 9014, 2986, 21121, 910, 306, 728, 595, 8358, 306, 655, 23803, 9014, 2986, 21121, 3738, 23184, 454, 22704, 540, 21121, 950, 10859, 704, 9014, 568, 2016, 454, 22704, 2986, 21121, 284, 6912, 22829, 655, 23803, 9014, 2986, 21121, 2608, 263, 306, 655, 23803, 9014, 2986, 21121, 910, 306, 728, 589, 31618, 306, 655, 23803, 9014, 2986, 21121, 910, 306, 728, 645, 31618, 306, 655, 23803, 9014, 2986, 21121, 910, 306, 728, 595, 4297, 23184, 454, 22704, 540, 513, 21121, 950, 5011, 616, 2016, 454, 22704, 284, 6912, 9230, 306, 728, 589, 266, 306, 728, 645, 266, 306, 728, 595, 31618, 306, 728, 645, 266, 306, 728, 595, 4149, 728, 589, 31618, 306, 728, 589, 4149, 728, 645, 266, 306, 728, 595, 31618, 306, 728, 589, 266, 306, 728, 645, 4149, 728, 595, 4297, 270, 275, 23184, 454, 20238, 3780, 2986, 8562, 636, 30533, 539, 17781, 14352, 306, 728, 589, 265, 306, 728, 645, 265, 306, 728, 595, 19422, 275, 265, 22704, 2986, 21121, 264, 23184, 454, 22704, 540, 513, 10910, 4861, 639, 950, 2427, 543, 32377, 616, 2016, 454, 22704, 14352, 272, 270, 273, 31618, 13312, 21192, 589, 31618, 6912, 263, 275, 265, 306, 728, 317, 273, 24179, 13312, 21192, 589, 8203, 273, 4297, 23184, 454, 8110, 9014, 540, 513, 9406, 4911, 1194, 21121, 454, 8110, 9014, 284, 306, 728, 589, 266, 306, 728, 645, 266, 6912, 22829, 728, 589, 317, 273, 266, 306, 728, 645, 317, 273, 264, 23184, 454, 8110, 9014, 540, 21121, 454, 8110, 9014, 2986, 21121, 284, 306, 728, 589, 266, 306, 728, 645, 266, 306, 728, 595, 23184, 454, 22704, 540, 513, 10910, 4861, 639, 950, 32377, 616, 2016, 454, 22704, 14352, 13312, 21192, 589, 265, 13312, 21192, 645, 8358, 273, 23184, 454, 8110, 9014, 540, 513, 23155, 6945, 454, 8110, 9014, 284, 273, 265, 306, 728, 589, 266, 273, 265, 306, 728, 645, 23184, 454, 8110, 9014, 540, 606, 1772, 30801, 21121, 454, 8110, 9014, 284, 306, 728, 589, 266, 273, 265, 306, 728, 645, 23184, 454, 22704, 540, 513, 12384, 950, 2427, 568, 2016, 454, 22704, 14352, 306, 728, 589, 8203, 273, 23184, 692, 1012, 2999, 476, 1556, 4033, 12596, 602, 5173, 519, 1482, 19243, 692, 8110, 9014, 540, 513, 13551, 950, 15497, 543, 3259, 616, 2016, 454, 8110, 9014, 284, 273, 16732, 21920, 266, 6912, 9230, 13312, 21192, 8203, 273, 24179, 21920, 8203, 273, 4297, 23184, 454, 8110, 9014, 540, 513, 9406, 4911, 1194, 21121, 454, 8110, 9014, 284, 306, 728, 589, 266, 306, 728, 645, 266, 6912, 22829, 728, 589, 317, 273, 266, 306, 728, 645, 317, 273, 264, 23184, 454, 8110, 9014, 2986, 3474, 4150, 548, 335, 21317, 454, 8110, 9014, 284, 275, 265, 306, 728, 589, 266, 275, 265, 306, 728, 645, 266, 275, 265, 306, 728, 595, 23184, 454, 8110, 9014, 540, 513, 23155, 6945, 454, 8110, 9014, 284, 273, 265, 306, 728, 589, 266, 273, 265, 306, 728, 645, 23184, 454, 8110, 9014, 540, 513, 918, 924, 454, 8110, 9014, 284, 273, 16732, 306, 728, 589, 266, 306, 728, 645, 264, 23184, 454, 8110, 9014, 540, 513, 13551, 950, 3259, 543, 8700, 616, 2016, 454, 8110, 9014, 284, 273, 265, 21920, 266, 273, 265, 310, 5954, 23184, 454, 8110, 9014, 540, 606, 1772, 30801, 21121, 454, 8110, 9014, 284, 306, 728, 589, 266, 273, 265, 306, 728, 645, 23184, 454, 8110, 9014, 540, 513, 28116, 454, 8110, 9014, 284, 1321, 265, 306, 728, 23184, 454, 8110, 9014, 540, 513, 4009, 950, 2427, 568, 2016, 454, 8110, 9014, 284, 275, 265, 306, 728, 23184, 454, 8110, 9014, 540, 606, 4982, 10561, 21121, 454, 8110, 9014, 284, 274, 265, 306, 728, 23184, 454, 8110, 9014, 540, 513, 10910, 4861, 639, 454, 8110, 9014, 284, 275, 265, 306, 728, 23184, 692, 2162, 32309, 540, 513, 25521, 950, 2427, 513, 543, 32377, 616, 2016, 16754, 692, 8110, 9014, 284, 273, 265, 306, 728, 589, 266, 6912, 263, 273, 16732, 13312, 21192, 589, 8203, 273, 266, 273, 16732, 13312, 21192, 645, 8203, 273, 268, 275, 16732, 306, 728, 589, 8203, 273, 994, 5415, 12596, 454, 306, 728, 540, 513, 25521, 950, 15497, 543, 519, 5086, 1063, 32377, 616, 2016, 23184, 454, 306, 728, 540, 513, 25521, 950, 15497, 543, 519, 5086, 1063, 32377, 616, 2016, 23184, 454, 306, 728, 540, 513, 25521, 950, 15497, 543, 519, 824, 2427, 568, 2016, 23184, 454, 306, 728, 540, 513, 25521, 950, 15497, 543, 519, 824, 2427, 568, 2016, 23184, 454, 306, 728, 540, 519, 25521, 950, 519, 4463, 543, 20534, 540, 606, 5086, 616, 2016, 23184, 454, 306, 728, 540, 519, 25521, 950, 519, 4463, 543, 20534, 540, 606, 5086, 616, 2016, 23184, 454, 306, 728, 540, 519, 25521, 950, 519, 1858, 543, 4463, 540, 519, 25521, 616, 2016, 23184, 454, 306, 728, 540, 519, 25521, 950, 519, 1858, 543, 4463, 540, 519, 25521, 616, 2016, 23184, 454, 13312, 21192, 540, 519, 25521, 950, 5011, 543, 25482, 16061, 616, 2016, 23184, 454, 13312, 21192, 540, 519, 25521, 950, 5011, 543, 25482, 16061, 616, 2016, 23184, 454, 13312, 21192, 540, 513, 25521, 950, 519, 1858, 267, 15497, 267, 543, 7285, 1063, 32377, 616, 2016, 23184, 454, 13312, 21192, 540, 513, 25521, 950, 519, 1858, 267, 824, 15497, 543, 5086, 1063, 32377, 616, 2016, 23184, 454, 8110, 9014, 540, 513, 25521, 950, 2427, 536, 543, 32377, 616, 2016, 23184, 454, 8110, 9014, 540, 519, 25521, 950, 2427, 267, 4463, 267, 543, 20534, 540, 606, 5086, 568, 2016, 23184, 454, 8110, 9014, 540, 519, 25521, 950, 2427, 267, 4463, 267, 543, 20534, 540, 606, 5086, 568, 2016, 23184, 692, 1012, 1548, 568, 15943, 540, 519, 25521, 543, 875, 621, 568, 7229, 26042, 763, 15943, 540, 513, 25521, 568, 519, 2040, 540, 782, 25521, 2427, 13080, 269, 1677, 5173, 621, 946, 519, 4542, 623, 815, 476, 273, 320, 1341, 18414, 263, 273, 323, 1321, 1341, 476, 273, 323, 2420, 910, 476, 275, 320, 273, 3738, 7316, 623, 568, 519, 15943, 540, 519, 25521, 267, 513, 568, 519, 2016, 2427, 540, 519, 25521, 267, 543, 546, 272, 546, 273, 616, 519, 32377, 540, 519, 25521, 780, 1012, 1215, 547, 12433, 32309, 540, 513, 25521, 950, 2427, 513, 543, 32377, 616, 2016, 2496, 8110, 9014, 540, 513, 25521, 950, 2427, 513, 543, 32377, 616, 2016, 9498, 3096, 32309, 284, 273, 265, 306, 728, 589, 266, 6912, 263, 273, 16732, 13312, 21192, 589, 8203, 273, 266, 273, 16732, 13312, 21192, 645, 8203, 273, 268, 275, 16732, 306, 728, 589, 8203, 273, 264, 547, 5173, 519, 32309, 267, 32309, 540, 513, 25521, 950, 2427, 513, 543, 32377, 616, 2016, 568, 519, 2040, 540, 782, 25521, 5011, 13080, 269, 32309, 543, 568, 20922, 676, 623, 3090, 780, 1692, 547, 5173, 32309, 540, 513, 25521, 950, 2427, 513, 543, 32377, 616, 2016, 1210, 713, 2228, 9498, 286, 1677, 946, 713, 2228, 9498, 585, 32309, 540, 513, 25521, 950, 2427, 513, 543, 32377, 616, 2016, 267, 4283, 17121, 589, 630, 320, 1070, 4144, 21192, 589, 630, 6767, 264, 543, 4144, 21192, 645, 630, 27219, 264, 543, 5734, 519, 5173, 7735, 269, 3371, 568, 875, 519, 32309, 540, 513, 25521, 950, 2427, 513, 543, 32377, 616, 2016, 9819, 666, 581, 6045, 609, 2016, 3403, 2418, 9847, 10878, 301, 815, 476, 273, 265, 279, 266, 6912, 263, 273, 16732, 276, 8203, 273, 266, 273, 16732, 278, 8203, 273, 268, 275, 16732, 279, 8203, 273, 6393, 2162, 14174, 304, 692, 1432, 568, 32309, 540, 513, 25521, 950, 2427, 513, 543, 32377, 616, 2016, 888, 8110, 9014, 540, 513, 25521, 950, 2427, 513, 543, 32377, 616, 2016, 568, 519, 2040, 540, 782, 25521, 5011, 13080, 543, 568, 6719, 607, 623, 284, 273, 265, 320, 266, 6912, 263, 273, 16732, 6767, 8203, 273, 266, 273, 16732, 27219, 8203, 273, 268, 275, 16732, 320, 8203, 273, 264, 610, 32309, 284, 273, 265, 306, 728, 589, 266, 6912, 263, 273, 16732, 13312, 21192, 589, 8203, 273, 266, 273, 16732, 13312, 21192, 645, 8203, 273, 268, 275, 16732, 306, 728, 589, 8203, 273, 1040, 17121, 589, 568, 606, 20005, 610, 1793, 14563, 2627, 540, 513, 2497, 610, 1843, 602, 568, 711, 519, 1283, 610, 5377, 543, 3622, 711, 519, 4395, 610, 1394, 267, 4144, 21192, 589, 568, 513, 2786, 1899, 11836, 1079, 6587, 15174, 540, 513, 4009, 267, 13551, 267, 610, 1776, 2786, 21758, 3337, 543, 4144, 21192, 645, 568, 513, 2786, 1899, 11836, 1079, 6587, 15174, 540, 513, 4009, 267, 13551, 267, 610, 1776, 2786, 21758, 3337, 563, 1692, 547, 5173, 32309, 540, 513, 25521, 950, 2427, 513, 543, 32377, 616, 2016, 888, 8110, 9014, 540, 513, 25521, 950, 2427, 513, 543, 32377, 616, 2016, 568, 519, 2040, 540, 782, 25521, 5011, 13080, 568, 7229, 1210, 32309, 284, 273, 265, 306, 728, 589, 266, 6912, 263, 273, 16732, 13312, 21192, 589, 8203, 273, 266, 273, 16732, 13312, 21192, 645, 8203, 273, 268, 275, 16732, 306, 728, 589, 8203, 273, 1040, 1677, 5173, 32309, 540, 513, 25521, 950, 2427, 513, 543, 32377, 616, 2016, 267, 596, 991, 17121, 589, 630, 320, 1070, 4144, 21192, 589, 630, 6767, 264, 543, 4144, 21192, 645, 630, 27219, 1040, 2060, 938, 1907, 267, 596, 991, 547, 4283, 519, 9757, 1871, 585, 17121, 589, 267, 4144, 21192, 589, 543, 4144, 21192, 645, 543, 5734, 519, 5173, 7735, 269, 1411, 666, 849, 2824, 519, 4559, 630, 604, 1022, 264, 585, 18452, 4433, 264, 543, 519, 19243, 607, 1134, 563, 1692, 1082, 2081, 616, 972, 547, 5173, 32309, 888, 1103, 713, 4542, 267, 32309, 3096, 17121, 589, 267, 4144, 21192, 589, 543, 4144, 21192, 645, 269, 1284, 666, 946, 476, 1556, 824, 1259, 4433, 264, 547, 5173, 519, 1482, 267, 799, 568, 270, 732, 607, 5205, 20620, 1892, 32309, 284, 273, 265, 21920, 266, 273, 265, 310, 5954, 454, 1892, 32309, 284, 275, 265, 306, 728, 454, 1892, 32309, 284, 274, 265, 306, 728, 454, 1892, 32309, 284, 273, 265, 306, 728, 589, 266, 273, 265, 306, 728, 645, 454, 1892, 32309, 284, 275, 265, 306, 728, 454, 1892, 32309, 284, 306, 728, 589, 266, 273, 265, 306, 728, 645, 454, 1892, 32309, 284, 306, 728, 589, 266, 306, 728, 645, 266, 6912, 22829, 728, 589, 317, 273, 266, 306, 728, 645, 317, 273, 994, 1892, 32309, 284, 1321, 265, 306, 728, 454, 1892, 32309, 284, 273, 16732, 306, 728, 589, 266, 306, 728, 645, 994, 1892, 32309, 284, 275, 265, 306, 728, 589, 266, 275, 265, 306, 728, 645, 266, 275, 265, 306, 728, 595, 454, 1892, 32309, 284, 273, 16732, 21920, 266, 6912, 9230, 13312, 21192, 8203, 273, 24179, 21920, 8203, 273, 4917, 4131, 11524, 5700, 0, 258, 589, 2316, 23140, 3008, 476, 277, 4569, 17676, 12726, 6657, 5999, 692, 27609, 532, 585, 519, 589, 2316, 23140, 3008, 476, 277, 4569, 1449, 286, 1677, 798, 707, 1655, 593, 519, 589, 2316, 23140, 3008, 476, 277, 4569, 1449, 267, 596, 991, 547, 2689, 543, 2259, 1483, 589, 2316, 23140, 3008, 476, 277, 4569, 2055, 269, 1109, 1703, 779, 4986, 899, 2324, 593, 589, 2316, 23140, 3008, 476, 277, 4569, 3732, 2055, 547, 24917, 707, 2979, 1983, 543, 2322, 596, 811, 693, 8897, 950, 2921, 519, 589, 2316, 23140, 3008, 476, 277, 4569, 1449, 269, 634, 3732, 2979, 2055, 596, 3580, 1265, 1934, 616, 5618, 5439, 2966, 547, 2285, 596, 519, 4030, 596, 991, 547, 581, 607, 5423, 607, 2009, 585, 707, 589, 2316, 23140, 3008, 476, 277, 4569, 1449, 780, 13425, 856, 938, 3732, 589, 2316, 23140, 3008, 476, 277, 4569, 2259, 2055, 547, 1265, 856, 1018, 2127, 596, 991, 547, 2259, 811, 1354, 2921, 519, 589, 2316, 23140, 3008, 476, 277, 4569, 1449, 2439, 9359, 8600, 585, 519, 476, 1708, 272, 589, 2316, 23140, 3008, 476, 277, 4569, 1449, 609, 938, 1863, 3732, 2259, 2055, 269, 4746, 267, 1118, 2386, 547, 1246, 930, 540, 519, 1644, 6402, 693, 519, 5377, 540, 713, 2022, 547, 1205, 513, 1732, 2856, 540, 1018, 2186, 540, 6128, 2055, 596, 991, 547, 2259, 780, 1012, 476, 1015, 12726, 589, 2316, 23140, 3008, 476, 277, 4569, 6657, 5999, 692, 272, 268, 634, 3845, 1063, 4872, 589, 543, 645, 568, 5111, 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, 534, 7769, 815, 18358, 27594, 3299, 1412, 13906, 3299, 1412, 8127, 262, 6540, 1721, 3662, 538, 2831, 912, 825, 1820, 6600, 21202, 2715, 534, 2711, 348, 1131, 1118, 513, 1434, 4620, 5602, 2745, 2891, 718, 540, 891, 2831, 616, 30042, 8442, 0, 258, 4289, 540, 3688, 8659, 538, 32582, 11303, 676, 15234, 9674, 676, 862, 553, 454, 321, 5390, 3380, 815, 18358, 30036, 330, 3299, 1412, 322, 2335, 1180, 1446, 3299, 1412, 1042, 1467, 3299, 1412, 338, 2133, 1242, 23300, 2745, 6357, 5390, 3380, 2020, 258, 314, 271, 316, 1569, 525, 519, 1101, 6221, 538, 513, 1592, 454, 2745, 6357, 5390, 3380, 314, 271, 7481, 2745, 6357, 5390, 3380, 314, 271, 4940, 27583, 31156, 258, 15631, 272, 316, 1569, 519, 2063, 6221, 538, 513, 1592, 454, 2745, 6357, 5390, 3380, 15631, 272, 20285, 2745, 6600, 257, 7069, 1101, 17919, 729, 513, 2715, 321, 5390, 3380, 314, 271, 4940, 27583, 3890, 348, 8442, 0, 5814, 4351, 1477, 5814, 21267, 28272, 607, 12301, 5897, 3698, 1292, 28399, 825, 562, 4944, 273, 318, 2102, 324, 815, 1205, 318, 2102, 324, 263, 26604, 271, 267, 476, 279, 4649, 275, 10142, 825, 1948, 476, 276, 262, 268, 274, 262, 1496, 27168, 267, 2942, 15947, 825, 31252, 815, 630, 985, 335, 273, 318, 2102, 324, 267, 1205, 23631, 2091, 318, 1260, 921, 618, 263, 985, 335, 273, 318, 2102, 324, 17903, 825, 2164, 815, 533, 13062, 5560, 3534, 267, 476, 2004, 267, 476, 736, 3418, 825, 4159, 318, 29798, 263, 29798, 3418, 5897, 258, 16849, 513, 4351, 1297, 1063, 1472, 476, 1220, 1477, 3698, 1205, 318, 6420, 318, 4752, 16216, 8029, 825, 2132, 476, 1220, 1341, 4351, 27110, 8987, 324, 267, 552, 3418, 5897, 258, 4164, 281, 1376, 543, 1439, 4994, 540, 31252, 10126, 1477, 258, 2132, 281, 5569, 540, 678, 3534, 10126, 476, 274, 262, 268, 276, 262, 1477, 3698, 1205, 318, 2102, 324, 6357, 5476, 267, 1439, 8029, 825, 5311, 815, 1930, 2891, 30084, 8807, 770, 320, 2580, 834, 337, 20257, 1348, 14052, 825, 5311, 815, 5311, 18622, 2897, 19629, 333, 2580, 834, 14744, 825, 2132, 5311, 314, 8218, 910, 476, 272, 281, 1439, 316, 24653, 258, 4164, 281, 513, 2582, 18843, 476, 274, 257, 547, 476, 276, 257, 678, 3534, 1477, 258, 2132, 281, 513, 2582, 18843, 476, 276, 257, 547, 476, 274, 257, 31252, 602, 568, 9258, 9148, 547, 519, 3403, 18843, 1477, 3698, 1205, 23631, 2091, 318, 1260, 921, 618, 5560, 3534, 8029, 825, 31252, 815, 31252, 18622, 2897, 2891, 288, 2580, 834, 311, 14744, 825, 31252, 815, 31252, 18622, 2897, 2891, 307, 2580, 834, 288, 14744, 825, 31252, 815, 31252, 18622, 2897, 2891, 311, 2580, 834, 307, 14744, 825, 31252, 815, 31252, 18622, 2897, 2891, 294, 2580, 834, 311, 14744, 825, 31252, 815, 31252, 18622, 2897, 2891, 290, 2580, 834, 294, 14744, 825, 31252, 815, 31252, 18622, 2897, 2891, 311, 2580, 834, 290, 14744, 825, 2132, 31252, 11468, 18737, 272, 316, 24653, 258, 4164, 281, 5444, 547, 581, 23652, 630, 320, 24042, 540, 476, 273, 12673, 1070, 2887, 540, 2557, 540, 5027, 29920, 630, 842, 1070, 1477, 258, 543, 1003, 318, 31260, 547, 2196, 19738, 630, 842, 3418, 258, 2132, 281, 513, 1592, 540, 5595, 18843, 539, 31252, 12415, 1477, 3698, 533, 13062, 5560, 3534, 267, 2887, 318, 4752, 318, 3433, 267, 1003, 318, 31260, 8029, 825, 1948, 1205, 2215, 619, 1477, 825, 2215, 619, 815, 1205, 318, 27146, 619, 5560, 3534, 3418, 825, 1948, 31252, 14067, 571, 2738, 284, 6577, 4405, 566, 5560, 3534, 3418, 825, 1948, 31252, 5091, 19302, 14067, 571, 2738, 284, 22828, 2718, 318, 13717, 566, 5560, 3534, 14067, 571, 2738, 267, 2215, 619, 267, 2887, 318, 4752, 318, 3433, 3418, 825, 1948, 2322, 31252, 24042, 883, 513, 1592, 1477, 825, 31252, 5091, 19302, 14067, 571, 2738, 815, 1496, 323, 3534, 15947, 825, 1948, 2196, 513, 8520, 585, 519, 9979, 1477, 825, 1775, 815, 476, 271, 1477, 825, 1247, 1775, 2999, 1003, 318, 31260, 6769, 1038, 1775, 6834, 476, 272, 1477, 1038, 10917, 5091, 3534, 815, 1496, 15947, 1038, 1948, 8520, 998, 782, 519, 31252, 1477, 1038, 585, 1535, 538, 31252, 5091, 19302, 14067, 571, 2738, 6769, 2018, 1948, 8831, 519, 31252, 1775, 1477, 2018, 10917, 5091, 3534, 269, 2169, 754, 263, 22828, 2718, 318, 13717, 566, 5560, 523, 4405, 566, 8443, 343, 25818, 2215, 619, 267, 2887, 318, 4752, 318, 3433, 17903, 1038, 1948, 2322, 519, 31252, 7982, 538, 519, 1592, 1477, 1038, 31252, 5091, 19302, 14067, 571, 2738, 815, 10917, 5091, 3534, 5897, 825, 2132, 31252, 5091, 19302, 14067, 571, 2738, 24653, 258, 4164, 281, 513, 5595, 18843, 31252, 267, 513, 24042, 540, 476, 273, 12673, 267, 8204, 476, 273, 12415, 540, 31252, 689, 476, 276, 257, 547, 476, 274, 29177, 258, 2132, 281, 513, 24042, 540, 476, 273, 12673, 8204, 519, 6292, 540, 2215, 619, 1496, 2690, 1189, 267, 681, 27654, 4940, 1477, 258, 630, 276, 257, 9847, 476, 274, 2580, 717, 290, 1543, 3436, 476, 2412, 9077, 13279, 536, 13512, 519, 476, 273, 2215, 619, 281, 9625, 1220, 267, 543, 717, 290, 28728, 2999, 476, 274, 3418, 3698, 1205, 318, 27146, 619, 5560, 3534, 8029, 825, 4464, 815, 1496, 323, 3534, 314, 271, 6012, 3438, 1807, 281, 12055, 1807, 1341, 476, 736, 316, 585, 12055, 1807, 538, 2039, 12759, 5560, 3534, 314, 271, 8079, 910, 476, 736, 3418, 25639, 952, 2638, 14682, 322, 318, 20880, 5560, 3534, 314, 271, 6012, 3438, 1807, 281, 12055, 1807, 1341, 476, 736, 3910, 476, 279, 264, 543, 1477, 25639, 2638, 318, 1440, 25534, 10734, 785, 5560, 3534, 314, 271, 6012, 3438, 1807, 281, 12055, 1807, 1341, 476, 736, 3910, 31252, 314, 272, 8079, 543, 1477, 25639, 2638, 14682, 322, 318, 743, 2086, 5560, 3534, 314, 271, 6012, 3438, 1807, 281, 12055, 1807, 1341, 476, 736, 8079, 316, 5897, 825, 9258, 815, 1496, 323, 3534, 314, 272, 6012, 3438, 1807, 281, 12055, 1807, 1341, 476, 736, 316, 585, 12055, 1807, 538, 2039, 12759, 5560, 3534, 314, 272, 8079, 910, 476, 736, 3418, 25639, 952, 2638, 14682, 322, 318, 20880, 5560, 3534, 314, 272, 6012, 3438, 1807, 281, 12055, 1807, 1341, 476, 736, 3910, 476, 279, 264, 543, 1477, 25639, 2638, 318, 1440, 25534, 10734, 785, 5560, 3534, 314, 272, 6012, 3438, 1807, 281, 12055, 1807, 1341, 476, 736, 3910, 31252, 314, 271, 8079, 543, 1477, 25639, 2638, 14682, 322, 318, 743, 2086, 5560, 3534, 314, 272, 6012, 3438, 1807, 281, 12055, 1807, 1341, 476, 736, 8079, 15947, 825, 2132, 27883, 328, 267, 795, 264, 585, 1775, 538, 4464, 585, 795, 538, 9258, 952, 476, 5002, 2999, 1265, 7272, 6055, 28747, 5560, 3534, 267, 1775, 267, 795, 264, 2999, 476, 1220, 6012, 271, 316, 24653, 258, 4477, 704, 1599, 585, 1205, 318, 27146, 619, 1477, 3698, 2638, 318, 1440, 25534, 10734, 785, 263, 1440, 25534, 267, 14911, 8029, 825, 2132, 14911, 29644, 263, 1326, 23631, 2091, 318, 1260, 921, 618, 263, 1440, 25534, 4297, 2652, 476, 272, 24653, 258, 4477, 704, 1599, 585, 1205, 318, 27146, 619, 1477, 3698, 1265, 7272, 6055, 28747, 5560, 3534, 267, 4464, 267, 9258, 8029, 825, 2132, 31252, 314, 272, 6012, 15311, 268, 272, 4940, 8161, 263, 516, 2091, 11468, 18737, 272, 8079, 910, 31252, 314, 271, 4940, 8161, 263, 3453, 264, 1341, 476, 736, 24653, 258, 4477, 704, 1599, 585, 1205, 318, 27146, 619, 1477, 3698, 2638, 14682, 322, 318, 743, 2086, 263, 1440, 25534, 8029, 825, 2132, 476, 271, 2999, 7003, 263, 1440, 25534, 314, 1691, 281, 476, 736, 4940, 516, 2897, 3488, 288, 3299, 15234, 1040, 516, 2897, 3488, 307, 3299, 15234, 4297, 2999, 476, 274, 24653, 258, 4477, 704, 1599, 585, 1205, 318, 27146, 619, 1477, 3698, 2638, 14682, 322, 318, 20880, 263, 1440, 25534, 267, 1543, 8029, 825, 2132, 7003, 263, 1440, 25534, 18622, 2897, 3488, 288, 3299, 15234, 1040, 516, 2897, 3488, 307, 3299, 15234, 4297, 3436, 1543, 24653, 258, 4164, 281, 513, 1592, 540, 8913, 1255, 540, 476, 273, 12673, 267, 8204, 5595, 18843, 539, 31252, 12415, 1477, 258, 2132, 281, 513, 1592, 540, 2582, 18843, 31252, 12415, 1477, 3698, 3954, 4405, 566, 5560, 3534, 26000, 18488, 8029, 825, 1948, 946, 1592, 8223, 547, 1711, 513, 1592, 609, 606, 3693, 585, 1142, 18843, 538, 519, 8913, 1255, 540, 31252, 26000, 18488, 1477, 825, 31252, 8217, 815, 1496, 560, 8681, 585, 5595, 14067, 8681, 538, 31252, 26000, 18488, 585, 18843, 538, 5595, 14067, 8681, 15947, 825, 2132, 31252, 8217, 24653, 258, 4164, 281, 513, 1592, 540, 2582, 18843, 31252, 12415, 267, 1142, 10126, 568, 689, 476, 276, 257, 547, 476, 274, 29177, 258, 2132, 281, 513, 1592, 540, 8913, 1255, 540, 476, 273, 12673, 630, 273, 31252, 12415, 689, 476, 276, 257, 547, 476, 274, 14744, 258, 3259, 540, 1592, 568, 31030, 593, 3811, 12622, 902, 269, 26228, 2450, 540, 476, 273, 8913, 1255, 1477, 3698, 32319, 2718, 318, 13717, 566, 263, 14259, 2738, 267, 2215, 619, 267, 2887, 15058, 318, 3433, 8029, 825, 2164, 815, 1592, 14052, 825, 1948, 4855, 338, 1007, 910, 270, 307, 6374, 622, 18843, 1477, 825, 952, 32319, 2718, 263, 14259, 2738, 314, 271, 3910, 2215, 619, 314, 272, 316, 8029, 1038, 4994, 815, 22204, 314, 272, 4940, 8161, 263, 27146, 619, 314, 272, 29573, 1038, 2258, 815, 20436, 566, 263, 14259, 2738, 314, 272, 3910, 4994, 267, 1205, 318, 6420, 318, 4752, 263, 6420, 15058, 318, 3433, 17903, 1038, 2164, 6910, 9230, 14259, 2738, 314, 271, 3910, 2258, 264, 10142, 825, 1948, 4855, 338, 1007, 1341, 270, 290, 5317, 18843, 1477, 825, 952, 32319, 2718, 263, 14259, 2738, 314, 272, 3910, 2215, 619, 314, 271, 316, 8029, 1038, 4994, 815, 22204, 314, 271, 4940, 8161, 263, 27146, 619, 314, 271, 29573, 1038, 1064, 815, 20436, 566, 263, 14259, 2738, 314, 271, 3910, 4994, 267, 1205, 318, 6420, 318, 4752, 263, 6420, 15058, 318, 3433, 17903, 1038, 2164, 6910, 9230, 1842, 267, 22204, 314, 272, 8079, 10142, 825, 2132, 2164, 24653, 258, 4477, 704, 1599, 585, 32319, 2718, 318, 13717, 566, 1477, 258, 4258, 4242, 952, 519, 2016, 18843, 540, 31252, 543, 29194, 12622, 547, 1142, 824, 23228, 258, 16849, 3020, 610, 7301, 1477, 3698, 32319, 2718, 4433, 17532, 14067, 8681, 5091, 3534, 267, 29194, 8029, 825, 2132, 2582, 14067, 8681, 5091, 3534, 29644, 263, 1326, 23631, 2091, 318, 1260, 921, 618, 263, 1440, 25534, 4297, 2652, 476, 272, 24653, 258, 4477, 704, 1599, 585, 32319, 2718, 318, 13717, 566, 1477, 258, 16849, 28608, 18843, 1759, 593, 2016, 18843, 267, 29194, 16229, 267, 543, 2887, 318, 4752, 1477, 3698, 20436, 566, 4433, 17532, 14067, 8681, 5091, 3534, 267, 29194, 16229, 267, 2887, 318, 4752, 8029, 825, 2132, 2582, 14067, 8681, 5091, 3534, 314, 1440, 25534, 16229, 281, 29194, 16229, 1341, 2887, 318, 4752, 1341, 476, 736, 316, 24653, 258, 4164, 281, 513, 1592, 540, 5595, 18843, 539, 31252, 12415, 1477, 258, 10525, 281, 28135, 540, 2164, 1477, 3698, 4159, 318, 29798, 263, 29798, 8029, 825, 1948, 2398, 6493, 1896, 7194, 1477, 825, 2582, 14067, 8681, 815, 1496, 328, 314, 272, 952, 7003, 9217, 314, 271, 8079, 3436, 7003, 9217, 314, 272, 8079, 3116, 476, 271, 316, 585, 1775, 538, 2164, 15947, 825, 1820, 2891, 10831, 540, 22204, 281, 834, 3418, 825, 1820, 12759, 4433, 17532, 14067, 8681, 17903, 825, 1820, 2891, 14112, 652, 18843, 3259, 281, 834, 3418, 825, 1820, 12759, 263, 2381, 4433, 17532, 14067, 8681, 267, 1883, 284, 6352, 4297, 3418, 825, 1820, 2891, 16524, 652, 18843, 3259, 281, 834, 3418, 825, 1820, 12759, 32384, 4433, 17532, 14067, 8681, 267, 1883, 284, 6352, 4297, 3418, 825, 1820, 2891, 30182, 18843, 3259, 281, 834, 3418, 825, 1820, 263, 1037, 5416, 2071, 4433, 17532, 14067, 8681, 4297, 10142, 825, 1948, 6601, 6545, 22204, 547, 1367, 13798, 976, 543, 1287, 4991, 519, 3328, 717, 290, 13798, 517, 1293, 23228, 825, 13798, 976, 815, 1496, 328, 585, 1605, 538, 2582, 14067, 8681, 585, 1775, 538, 1605, 15947, 825, 13798, 517, 6958, 516, 336, 815, 575, 322, 6262, 617, 976, 3418, 825, 1820, 2891, 15575, 281, 1422, 333, 257, 1341, 1193, 6262, 31788, 6958, 516, 336, 17903, 825, 575, 322, 318, 20880, 815, 16733, 322, 31788, 6958, 516, 336, 14277, 294, 19312, 1341, 13798, 517, 6958, 516, 336, 14277, 290, 257, 8079, 1315, 630, 322, 31788, 6958, 516, 336, 14277, 288, 19312, 1341, 13798, 517, 6958, 516, 336, 14277, 294, 19312, 1341, 13798, 517, 6958, 516, 336, 14277, 290, 19312, 1341, 13798, 517, 6958, 516, 336, 14277, 307, 257, 8079, 3418, 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 ]
[ 331, 830, 543, 936, 12741, 532, 454, 1892, 519, 8691, 540, 7252, 267, 32725, 267, 543, 26642, 910, 1312, 547, 782, 8775, 547, 513, 3152, 6712, 540, 2230, 982, 1018, 568, 7298, 267, 543, 547, 3132, 3350, 630, 21865, 21994, 538, 519, 7198, 610, 4715, 1807, 264, 676, 519, 21109, 540, 1318, 7285, 267, 610, 5276, 32725, 454, 1892, 6368, 267, 513, 13283, 585, 3350, 538, 1747, 540, 1065, 846, 267, 1419, 538, 513, 7299, 4287, 267, 799, 568, 20248, 3812, 676, 2870, 513, 2631, 540, 4463, 267, 513, 6727, 986, 696, 24854, 3350, 10483, 676, 513, 4743, 540, 9825, 15282, 634, 1101, 543, 519, 11359, 3344, 540, 3046, 20529, 2511, 7703, 606, 1271, 3693, 585, 2542, 519, 2014, 540, 519, 4715, 1807, 781, 4160, 1354, 519, 3046, 20529, 1795, 1228, 267, 513, 4743, 540, 4160, 602, 896, 6050, 606, 31536, 542, 540, 519, 1379, 540, 519, 11247, 799, 519, 3046, 20529, 267, 693, 713, 3942, 540, 922, 17748, 267, 4025, 547, 519, 32215, 269, 630, 1607, 4743, 540, 4160, 267, 610, 3929, 8515, 267, 666, 849, 581, 6956, 607, 513, 1106, 540, 3665, 18399, 267, 799, 568, 1946, 519, 25164, 3315, 560, 10496, 13196, 30086, 534, 2663, 3989, 1010, 17748, 540, 795, 537, 8599, 21522, 538, 4704, 547, 12672, 7236, 781, 17001, 540, 853, 634, 25564, 269, 3738, 5637, 12823, 616, 454, 295, 8780, 3036, 13965, 4888, 307, 4488, 3633, 19006, 5442, 645, 2752, 302, 12702, 292, 595, 6020, 12087, 26113, 6730, 5990, 12088, 476, 866, 454, 9404, 2664, 2299, 5532, 547, 519, 8990, 540, 3350, 267, 607, 26728, 742, 4802, 6257, 621, 538, 519, 1739, 3948, 912, 763, 25724, 2760, 3091, 721, 19870, 610, 30593, 618, 267, 610, 519, 11979, 9350, 540, 1412, 7424, 3299, 1152, 519, 19727, 540, 1689, 543, 519, 8082, 540, 1098, 1466, 269, 476, 273, 268, 276, 454, 296, 786, 2132, 547, 1865, 1082, 540, 891, 18765, 2630, 630, 3000, 2163, 1275, 267, 4463, 267, 4160, 267, 519, 21522, 4137, 540, 18399, 267, 519, 1964, 16531, 540, 1689, 543, 519, 8082, 609, 9019, 5148, 789, 1419, 556, 15041, 10235, 607, 519, 19621, 4453, 15342, 540, 519, 2413, 626, 3741, 540, 1689, 543, 5647, 267, 519, 7811, 31344, 1275, 540, 535, 2466, 8775, 267, 543, 540, 519, 21522, 2144, 5328, 1143, 602, 4866, 547, 519, 1114, 2413, 543, 2022, 19640, 6436, 540, 519, 1016, 331, 830, 269, 1280, 1631, 267, 2705, 267, 594, 6999, 547, 2611, 609, 519, 4505, 17748, 540, 519, 3046, 20529, 538, 3332, 563, 2026, 513, 5339, 7121, 267, 519, 3046, 20529, 814, 7930, 19774, 1896, 824, 6163, 602, 7153, 1369, 519, 1482, 1974, 281, 21042, 9713, 267, 840, 857, 5242, 2676, 3405, 24452, 334, 267, 1523, 1143, 334, 267, 1381, 584, 22675, 334, 269, 1284, 666, 5612, 1294, 602, 519, 454, 933, 752, 1145, 540, 713, 1826, 540, 11008, 1436, 568, 519, 12402, 2509, 4227, 19635, 12716, 9259, 547, 513, 26832, 2511, 538, 3864, 2686, 1686, 267, 799, 1016, 24002, 610, 2220, 718, 3298, 909, 28836, 8658, 540, 3148, 267, 2797, 543, 3140, 1757, 1275, 269, 9747, 267, 519, 1101, 10039, 5631, 547, 4789, 267, 519, 2034, 547, 513, 3943, 1646, 267, 519, 2063, 1614, 547, 7977, 269, 8050, 267, 7654, 519, 1034, 1271, 3148, 585, 3140, 4128, 267, 814, 20374, 15587, 269, 630, 2005, 786, 1152, 31272, 792, 2663, 689, 519, 11782, 540, 3162, 3013, 267, 896, 519, 2012, 540, 717, 784, 528, 1143, 267, 543, 538, 519, 2796, 540, 1018, 568, 1631, 4122, 1572, 519, 1412, 24645, 3046, 20529, 8339, 3738, 769, 2487, 5339, 14172, 630, 14006, 268, 4198, 271, 1070, 519, 1523, 540, 519, 3046, 20529, 568, 2417, 1016, 323, 22866, 543, 5116, 538, 30925, 609, 2494, 1676, 1143, 269, 1306, 513, 1267, 540, 713, 8760, 267, 513, 15784, 3533, 1671, 4240, 936, 519, 16885, 1214, 540, 891, 1079, 2474, 269, 11534, 3151, 5380, 723, 24132, 689, 519, 835, 4371, 676, 29775, 822, 670, 665, 651, 267, 538, 1010, 12603, 654, 3881, 620, 338, 6997, 31307, 281, 2494, 1512, 454, 1495, 2494, 773, 538, 3541, 16402, 335, 4134, 7770, 31311, 560, 630, 4198, 278, 1070, 1141, 519, 1523, 540, 454, 10048, 1676, 1143, 4625, 17772, 2354, 525, 519, 3046, 20529, 267, 547, 7671, 2782, 333, 651, 781, 12411, 687, 540, 454, 1492, 25724, 267, 1141, 519, 3046, 20529, 31267, 519, 811, 5068, 543, 10991, 1106, 454, 1993, 654, 3881, 753, 577, 879, 2426, 630, 16447, 268, 1613, 1070, 835, 602, 16621, 519, 8984, 7592, 602, 4866, 547, 2494, 1676, 1143, 607, 513, 30031, 7678, 269, 769, 5339, 9259, 267, 2782, 333, 651, 14439, 1079, 1412, 516, 9690, 569, 829, 1061, 1043, 262, 21274, 602, 666, 581, 1336, 538, 519, 25724, 3989, 607, 513, 3140, 1974, 1523, 267, 21274, 799, 646, 11225, 538, 519, 1739, 1259, 912, 1892, 2494, 1676, 626, 267, 799, 568, 6353, 676, 519, 1412, 4944, 732, 267, 18854, 1399, 267, 4081, 267, 19433, 673, 262, 3029, 540, 31733, 331, 267, 5213, 928, 267, 29464, 267, 1975, 1180, 2465, 267, 6581, 1386, 334, 267, 670, 8500, 326, 839, 543, 18307, 2719, 454, 1892, 4400, 25724, 267, 6829, 538, 519, 1412, 1941, 622, 267, 608, 743, 600, 2218, 267, 3929, 267, 543, 3063, 341, 698, 656, 21274, 540, 717, 787, 874, 3780, 267, 3057, 3626, 267, 546, 262, 288, 889, 793, 324, 267, 717, 784, 7702, 543, 966, 1180, 601, 8339, 9182, 267, 621, 814, 1831, 7608, 602, 1896, 540, 26728, 742, 4802, 781, 3046, 20529, 6688, 540, 519, 3308, 513, 1080, 666, 1631, 581, 11911, 547, 513, 6073, 626, 454, 1103, 519, 3803, 2079, 267, 2705, 267, 2782, 333, 651, 27422, 519, 2165, 1412, 8663, 20529, 262, 936, 1412, 10048, 1676, 1143, 262, 2687, 547, 606, 4661, 799, 1223, 581, 22950, 337, 1078, 607, 5205, 281, 602, 1247, 267, 1287, 267, 3046, 20529, 568, 6157, 606, 20541, 7121, 538, 796, 4328, 513, 4763, 540, 5339, 3466, 267, 621, 568, 1869, 1454, 1732, 982, 2494, 1676, 1143, 543, 2907, 814, 519, 5413, 540, 513, 1713, 1560, 540, 14172, 7923, 547, 519, 2012, 269, 630, 1103, 824, 1913, 267, 621, 949, 19582, 519, 2990, 540, 513, 1412, 928, 10354, 5708, 262, 602, 814, 811, 547, 798, 609, 15364, 540, 519, 3140, 4610, 540, 14172, 2404, 609, 519, 2012, 267, 982, 609, 1686, 3294, 269, 3738, 1306, 2782, 333, 651, 11339, 267, 1412, 1492, 26093, 27754, 538, 519, 3498, 540, 519, 2165, 2494, 1676, 1143, 676, 922, 1585, 23594, 2306, 519, 834, 638, 699, 331, 548, 5918, 812, 333, 1512, 1143, 324, 257, 2484, 856, 29328, 519, 454, 257, 638, 699, 331, 548, 5918, 3046, 20529, 262, 538, 519, 18735, 540, 20102, 12600, 1367, 454, 10048, 1676, 1143, 568, 513, 2165, 6508, 689, 519, 7969, 812, 1512, 320, 267, 2495, 1412, 5882, 8339, 769, 1010, 4367, 547, 634, 25724, 7313, 655, 630, 3192, 275, 1070, 29733, 21540, 601, 6257, 519, 6240, 7592, 540, 2494, 1676, 1143, 538, 519, 1739, 2629, 8574, 912, 24375, 940, 538, 7507, 827, 476, 13923, 271, 1496, 1492, 1974, 540, 12672, 7236, 781, 6189, 3910, 5159, 3459, 23622, 811, 900, 874, 5597, 593, 4480, 269, 2494, 1676, 267, 610, 2511, 267, 729, 4742, 513, 3364, 21349, 3294, 269, 769, 741, 3406, 585, 3209, 1399, 267, 585, 1007, 2081, 547, 1711, 513, 2631, 540, 25713, 267, 4898, 267, 543, 25621, 538, 519, 4715, 1807, 267, 26719, 3459, 1818, 513, 1954, 518, 946, 540, 15022, 3512, 566, 543, 1374, 269, 3718, 711, 1152, 2968, 21950, 538, 1374, 267, 855, 21950, 538, 7990, 607, 1134, 269, 1677, 4463, 523, 519, 21951, 781, 7071, 540, 519, 5578, 543, 27265, 3297, 519, 17748, 543, 11056, 540, 519, 960, 540, 1148, 267, 519, 7376, 16668, 3007, 547, 519, 4559, 610, 2694, 540, 519, 2898, 269, 634, 9322, 543, 16134, 540, 12705, 8179, 676, 519, 11193, 1100, 3476, 10150, 519, 1482, 12797, 269, 2372, 924, 519, 14669, 267, 519, 2494, 1676, 626, 7376, 8179, 547, 31818, 543, 16297, 519, 3750, 676, 1818, 621, 3222, 540, 519, 9103, 1275, 540, 519, 960, 269, 901, 15038, 543, 30996, 7321, 540, 519, 10126, 1419, 693, 519, 13258, 540, 9322, 19500, 538, 513, 25916, 531, 1259, 281, 519, 21951, 781, 3750, 729, 1219, 21124, 2476, 689, 519, 8998, 547, 519, 13020, 344, 602, 267, 3079, 540, 7700, 547, 543, 5885, 9322, 267, 1033, 26167, 689, 621, 269, 2578, 337, 1275, 540, 1719, 15702, 543, 519, 2078, 540, 2694, 547, 2898, 2968, 865, 4557, 6681, 602, 519, 2694, 8057, 538, 13190, 269, 476, 2764, 454, 296, 723, 20926, 21540, 601, 781, 6609, 693, 3259, 1317, 540, 922, 2956, 538, 20515, 513, 3395, 17748, 540, 519, 3046, 20529, 799, 814, 1044, 7930, 6896, 1472, 1018, 594, 786, 1289, 1412, 320, 15393, 6193, 540, 2230, 8339, 1548, 568, 7000, 568, 606, 3665, 11634, 1143, 543, 5571, 8082, 267, 1369, 519, 1523, 540, 519, 3046, 20529, 3294, 267, 1063, 1079, 8901, 12180, 3741, 267, 1018, 21540, 601, 7125, 267, 538, 513, 1360, 4277, 8360, 267, 1079, 20849, 1412, 515, 28282, 625, 540, 1106, 8339, 2290, 6240, 267, 799, 814, 2097, 547, 581, 6829, 676, 2494, 1676, 1143, 267, 568, 606, 3919, 540, 2230, 454, 1706, 625, 3063, 851, 525, 630, 528, 1412, 10339, 6416, 998, 26610, 30670, 519, 4082, 540, 454, 7224, 767, 1399, 998, 519, 30846, 540, 519, 5888, 267, 606, 7050, 543, 20982, 23673, 540, 519, 31344, 1275, 540, 519, 32215, 630, 14808, 3120, 1583, 25871, 2088, 1070, 610, 4137, 540, 1395, 560, 4592, 640, 543, 10316, 1143, 282, 607, 1134, 607, 2511, 799, 666, 581, 6444, 676, 922, 7050, 1412, 10915, 2716, 2032, 3299, 1412, 659, 27854, 1143, 262, 543, 1412, 691, 4716, 1436, 540, 2470, 262, 630, 553, 538, 3057, 3626, 267, 717, 784, 7702, 267, 610, 2836, 1457, 517, 267, 20653, 553, 4302, 345, 543, 16907, 668, 7236, 1040, 634, 1101, 6240, 267, 2404, 609, 519, 6101, 4480, 540, 2494, 1676, 626, 1148, 2676, 295, 8780, 3036, 13965, 4888, 307, 4488, 3633, 19006, 5442, 645, 2752, 302, 12702, 292, 595, 6020, 12087, 26113, 6730, 5990, 12088, 476, 2641, 454, 4754, 581, 11609, 538, 519, 1646, 540, 519, 954, 1889, 3960, 334, 267, 607, 606, 14628, 9135, 538, 16222, 267, 7930, 8420, 5217, 630, 528, 1412, 23251, 24219, 3299, 547, 946, 21540, 601, 781, 2165, 264, 519, 3844, 796, 885, 540, 14163, 582, 27318, 1106, 267, 610, 519, 14461, 543, 7344, 5943, 540, 519, 862, 4215, 269, 769, 3410, 4215, 267, 954, 331, 644, 807, 267, 1303, 337, 262, 716, 324, 8385, 2919, 689, 519, 16712, 11410, 565, 725, 540, 7544, 267, 2110, 973, 14591, 543, 14336, 5566, 5396, 1369, 27803, 4249, 269, 26431, 267, 607, 21540, 601, 32625, 267, 1412, 1492, 4050, 31008, 585, 3209, 1399, 8057, 262, 543, 519, 3007, 1743, 26661, 689, 519, 6378, 5931, 540, 519, 862, 539, 773, 267, 1412, 663, 1346, 9901, 609, 20387, 5480, 9913, 865, 23353, 519, 3308, 267, 7574, 267, 543, 10409, 3344, 540, 519, 954, 1889, 3960, 328, 602, 789, 16309, 538, 13321, 873, 883, 4715, 8163, 602, 856, 560, 686, 5529, 262, 519, 9029, 540, 519, 3844, 1106, 269, 476, 3066, 13536, 267, 594, 786, 1397, 602, 519, 1599, 540, 519, 769, 3410, 4215, 7930, 19674, 538, 519, 6240, 602, 896, 15533, 519, 1599, 540, 519, 454, 332, 1047, 10276, 268, 629, 830, 538, 2413, 1523, 687, 540, 954, 3667, 7081, 607, 513, 14436, 2627, 602, 454, 4532, 2734, 919, 910, 1312, 3330, 543, 267, 2943, 267, 3544, 910, 513, 2565, 267, 610, 14336, 5566, 1599, 540, 16555, 2390, 519, 3844, 2962, 267, 610, 4729, 630, 553, 538, 519, 1383, 540, 2637, 8291, 781, 16555, 593, 12142, 2549, 656, 781, 631, 1195, 572, 10487, 557, 799, 594, 786, 1865, 454, 514, 3848, 476, 279, 2630, 1040, 476, 1789, 454, 763, 2034, 6240, 267, 799, 814, 2097, 547, 21656, 519, 1412, 11947, 25724, 3299, 610, 3046, 20529, 1697, 267, 1869, 15225, 3099, 610, 3818, 13109, 538, 18282, 543, 3029, 267, 855, 16621, 519, 25798, 10305, 540, 2627, 543, 1374, 607, 1351, 335, 648, 531, 32252, 919, 602, 11200, 547, 2769, 519, 4527, 540, 606, 5817, 454, 29774, 910, 513, 4527, 602, 568, 711, 6719, 676, 519, 960, 267, 855, 22466, 267, 610, 454, 10603, 617, 1221, 607, 606, 3929, 1198, 3812, 538, 519, 4715, 1807, 610, 7198, 269, 1306, 21540, 601, 2982, 267, 519, 5106, 540, 519, 2034, 6240, 666, 581, 14648, 607, 513, 5114, 543, 973, 10967, 566, 540, 519, 1101, 6240, 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 ]
[ 320, 17070, 25239, 266, 323, 266, 324, 266, 325, 259, 568, 9642, 267, 2901, 1269, 320, 25239, 266, 324, 259, 610, 1269, 321, 266, 323, 266, 325, 259, 1590, 581, 9642, 269, 654, 299, 8104, 1577, 1269, 320, 25239, 266, 324, 259, 581, 9642, 543, 1269, 320, 315, 613, 524, 315, 613, 552, 1422, 613, 476, 271, 16859, 2162, 8865, 476, 272, 692, 259, 320, 22698, 267, 324, 285, 271, 10608, 16294, 20491, 589, 607, 519, 5311, 540, 7575, 689, 5153, 476, 272, 547, 5153, 476, 274, 267, 3254, 2630, 1384, 259, 314, 6470, 316, 2450, 263, 4968, 5148, 9949, 5155, 6600, 20184, 1125, 263, 280, 4297, 282, 6003, 2891, 323, 2580, 1410, 7032, 263, 271, 32140, 271, 267, 271, 4297, 282, 6003, 2891, 322, 2580, 1410, 7032, 263, 7032, 270, 274, 32140, 271, 267, 271, 1070, 1042, 5148, 6003, 2891, 321, 2580, 1410, 7032, 263, 273, 265, 7032, 270, 274, 32140, 271, 267, 271, 4297, 282, 6003, 2891, 320, 2580, 1410, 7032, 263, 7032, 32140, 271, 267, 271, 1070, 1042, 5148, 6003, 2891, 325, 2580, 1410, 7032, 263, 275, 265, 7032, 270, 274, 32140, 271, 267, 271, 4297, 282, 6003, 2891, 324, 2580, 1410, 7032, 263, 276, 265, 7032, 270, 274, 32140, 271, 267, 271, 1070, 1042, 5148, 6003, 2891, 3721, 476, 272, 2580, 263, 271, 16427, 273, 32140, 271, 267, 271, 4297, 282, 6003, 2891, 322, 3887, 2580, 263, 276, 267, 271, 11924, 1410, 7032, 263, 271, 32140, 271, 267, 271, 4297, 282, 6003, 2891, 322, 2580, 263, 276, 267, 271, 11924, 1410, 7032, 263, 7032, 270, 274, 32140, 271, 267, 271, 1070, 1042, 5148, 6003, 2891, 320, 2275, 2580, 263, 276, 267, 271, 11924, 1410, 7032, 263, 273, 265, 7032, 270, 274, 32140, 271, 267, 271, 4297, 282, 6003, 2891, 320, 2580, 263, 276, 267, 271, 11924, 1410, 7032, 263, 7032, 32140, 271, 267, 271, 1070, 1042, 5148, 6003, 2891, 320, 3887, 2580, 263, 276, 267, 271, 11924, 1410, 7032, 263, 275, 265, 7032, 270, 274, 32140, 271, 267, 271, 4297, 282, 6003, 2891, 324, 2580, 263, 276, 267, 271, 11924, 1410, 7032, 263, 276, 265, 7032, 270, 274, 32140, 271, 267, 271, 1070, 1042, 5148, 6003, 2891, 3721, 476, 273, 2580, 263, 276, 16427, 273, 32140, 271, 267, 271, 4297, 282, 6003, 2891, 322, 3887, 2580, 263, 1015, 267, 271, 11924, 1410, 7032, 263, 271, 32140, 271, 267, 271, 4297, 282, 6003, 2891, 322, 2580, 263, 1015, 267, 271, 11924, 1410, 7032, 263, 7032, 270, 274, 32140, 271, 267, 271, 1070, 1042, 5148, 6003, 2891, 320, 2275, 2580, 263, 1015, 267, 271, 11924, 1410, 7032, 263, 273, 265, 7032, 270, 274, 32140, 271, 267, 271, 4297, 282, 6003, 2891, 322, 3887, 2580, 263, 1015, 267, 271, 11924, 1410, 7032, 263, 7032, 32140, 271, 267, 271, 1070, 1042, 5148, 6003, 2891, 320, 3887, 2580, 263, 1015, 267, 271, 11924, 1410, 7032, 263, 275, 265, 7032, 270, 274, 32140, 271, 267, 271, 4297, 282, 6003, 2891, 320, 2275, 2580, 263, 1015, 267, 271, 11924, 1410, 7032, 263, 276, 265, 7032, 270, 274, 32140, 271, 267, 271, 1070, 1042, 5148, 6003, 2891, 3721, 476, 274, 2580, 263, 1015, 16427, 273, 32140, 271, 267, 271, 4297, 282, 1496, 270, 6470, 316, 6911, 30860, 602, 20491, 589, 2242, 519, 2338, 1269, 320, 22698, 267, 324, 259, 547, 1269, 322, 3887, 22698, 28083, 2275, 259, 543, 789, 616, 782, 1875, 17463, 267, 2094, 1269, 320, 315, 613, 524, 315, 613, 552, 10608, 4256, 2040, 2242, 689, 1269, 320, 25239, 266, 324, 259, 547, 1269, 320, 25239, 3887, 259, 282, 621, 11081, 607, 1279, 607, 1269, 324, 315, 928, 476, 271, 10608, 1403, 649, 10956, 20491, 589, 2614, 2053, 267, 922, 2040, 786, 6175, 543, 5555, 649, 786, 12446, 693, 513, 1448, 1141, 693, 2547, 835, 540, 519, 2338, 538, 519, 7158, 8385, 13026, 676, 1269, 320, 22698, 267, 324, 259, 814, 1831, 513, 476, 271, 780, 2162, 8865, 476, 273, 692, 259, 320, 22698, 285, 271, 259, 543, 1269, 324, 284, 271, 10608, 16294, 20491, 645, 607, 519, 5311, 540, 7575, 689, 5153, 476, 272, 547, 5153, 476, 274, 267, 3254, 2630, 1384, 259, 314, 6470, 316, 2450, 263, 4968, 5148, 9949, 5155, 6600, 20184, 1125, 263, 280, 4297, 282, 6003, 2891, 323, 2580, 1410, 7032, 263, 271, 32140, 271, 267, 271, 4297, 282, 6003, 2891, 322, 2580, 1410, 7032, 263, 7032, 270, 274, 32140, 271, 267, 271, 1070, 1042, 5148, 6003, 2891, 321, 2580, 1410, 7032, 263, 273, 265, 7032, 270, 274, 32140, 271, 267, 271, 4297, 282, 6003, 2891, 320, 2580, 1410, 7032, 263, 7032, 32140, 271, 267, 271, 1070, 1042, 5148, 6003, 2891, 325, 2580, 1410, 7032, 263, 275, 265, 7032, 270, 274, 32140, 271, 267, 271, 4297, 282, 6003, 2891, 271, 2580, 1410, 7032, 263, 276, 265, 7032, 270, 274, 32140, 271, 267, 271, 1070, 1042, 5148, 6003, 2891, 3721, 476, 272, 2580, 263, 271, 16427, 273, 32140, 271, 267, 271, 4297, 282, 6003, 2891, 322, 2580, 263, 276, 267, 271, 11924, 1410, 7032, 263, 271, 32140, 271, 267, 271, 4297, 282, 6003, 2891, 322, 2580, 263, 276, 267, 271, 11924, 1410, 7032, 263, 7032, 270, 274, 32140, 271, 267, 271, 1070, 1042, 5148, 6003, 2891, 320, 2275, 2580, 263, 276, 267, 271, 11924, 1410, 7032, 263, 273, 265, 7032, 270, 274, 32140, 271, 267, 271, 4297, 282, 6003, 2891, 320, 2580, 263, 276, 267, 271, 11924, 1410, 7032, 263, 7032, 32140, 271, 267, 271, 1070, 1042, 5148, 6003, 2891, 320, 2580, 263, 276, 267, 271, 11924, 1410, 7032, 263, 275, 265, 7032, 270, 274, 32140, 271, 267, 271, 4297, 282, 6003, 2891, 271, 2580, 263, 276, 267, 271, 11924, 1410, 7032, 263, 276, 265, 7032, 270, 274, 32140, 271, 267, 271, 1070, 1042, 5148, 6003, 2891, 3721, 476, 273, 2580, 263, 276, 16427, 273, 32140, 271, 267, 271, 4297, 282, 6003, 2891, 322, 2580, 263, 1015, 267, 271, 11924, 1410, 7032, 263, 271, 32140, 271, 267, 271, 4297, 282, 6003, 19629, 8218, 15204, 2410, 331, 348, 273, 322, 8584, 11138, 513, 268, 273, 322, 17910, 15204, 348, 2580, 263, 1015, 267, 271, 11924, 1410, 7032, 263, 7032, 270, 274, 32140, 271, 267, 271, 1070, 1042, 5148, 6003, 2891, 320, 2275, 2580, 263, 1015, 267, 271, 11924, 1410, 7032, 263, 273, 265, 7032, 270, 274, 32140, 271, 267, 271, 4297, 282, 6003, 2891, 322, 2580, 263, 1015, 267, 271, 11924, 1410, 7032, 263, 7032, 32140, 271, 267, 271, 1070, 1042, 5148, 6003, 2891, 320, 2580, 263, 1015, 267, 271, 11924, 1410, 7032, 263, 275, 265, 7032, 270, 274, 32140, 271, 267, 271, 4297, 282, 6003, 2891, 271, 2580, 263, 1015, 267, 271, 11924, 1410, 7032, 263, 276, 265, 7032, 270, 274, 32140, 271, 267, 271, 1070, 1042, 5148, 6003, 2891, 3721, 476, 274, 2580, 263, 1015, 16427, 273, 32140, 271, 267, 271, 4297, 282, 1496, 270, 6470, 316, 6911, 3602, 538, 5153, 476, 274, 267, 649, 1491, 519, 1875, 17463, 3903, 540, 1269, 273, 322, 8584, 259, 610, 1269, 320, 268, 273, 322, 10608, 1269, 320, 22698, 267, 271, 259, 568, 4957, 547, 2901, 1269, 322, 267, 273, 322, 8584, 267, 271, 259, 610, 1269, 322, 28083, 268, 273, 322, 267, 271, 10608, 1403, 649, 723, 1269, 322, 267, 273, 322, 8584, 267, 271, 8961, 741, 2040, 568, 1269, 274, 322, 8584, 259, 543, 713, 568, 1447, 982, 1269, 320, 25239, 266, 271, 259, 630, 1492, 3312, 2040, 264, 8259, 1269, 320, 284, 322, 8961, 855, 1269, 320, 315, 928, 524, 259, 2094, 519, 3312, 2040, 1269, 320, 25239, 266, 271, 259, 568, 9642, 676, 13429, 269, 1403, 649, 723, 1269, 322, 28083, 268, 273, 322, 267, 271, 8961, 741, 2040, 568, 1269, 320, 2275, 8961, 799, 568, 1447, 982, 1269, 320, 25239, 10608, 20491, 645, 4294, 14578, 786, 2014, 2901, 1269, 320, 259, 610, 1269, 322, 259, 547, 1831, 1269, 271, 16859, 2162, 8865, 476, 274, 692, 259, 320, 285, 271, 259, 543, 1269, 322, 284, 324, 284, 271, 10608, 16294, 20491, 595, 607, 519, 5311, 540, 7575, 689, 5153, 476, 272, 547, 5153, 476, 275, 267, 3254, 2630, 1384, 259, 314, 6470, 316, 2450, 263, 6110, 5148, 9949, 5155, 6600, 20184, 1125, 263, 280, 4297, 282, 6003, 2891, 323, 2580, 1410, 7032, 263, 271, 32140, 271, 267, 271, 4297, 282, 6003, 2891, 271, 2580, 1410, 7032, 263, 7032, 270, 274, 32140, 271, 267, 271, 1070, 1042, 5148, 6003, 2891, 321, 2580, 1410, 7032, 263, 273, 265, 7032, 270, 274, 32140, 271, 267, 271, 4297, 282, 6003, 2891, 320, 2580, 1410, 7032, 263, 7032, 32140, 271, 267, 271, 1070, 1042, 5148, 6003, 2891, 325, 2580, 1410, 7032, 263, 275, 265, 7032, 270, 274, 32140, 271, 267, 271, 4297, 282, 6003, 2891, 271, 2580, 1410, 7032, 263, 276, 265, 7032, 270, 274, 32140, 271, 267, 271, 1070, 1042, 5148, 6003, 2891, 3721, 476, 272, 2580, 263, 271, 16427, 273, 32140, 271, 267, 271, 4297, 282, 6003, 2891, 271, 2580, 263, 276, 267, 271, 11924, 1410, 7032, 263, 271, 32140, 271, 267, 271, 4297, 282, 6003, 2891, 271, 2580, 263, 276, 267, 271, 11924, 1410, 7032, 263, 7032, 270, 274, 32140, 271, 267, 271, 1070, 1042, 5148, 6003, 2891, 320, 2580, 263, 276, 267, 271, 11924, 1410, 7032, 263, 273, 265, 7032, 270, 274, 32140, 271, 267, 271, 4297, 282, 6003, 2891, 320, 2580, 263, 276, 267, 271, 11924, 1410, 7032, 263, 7032, 32140, 271, 267, 271, 1070, 1042, 5148, 6003, 2891, 320, 2580, 263, 276, 267, 271, 11924, 1410, 7032, 263, 275, 265, 7032, 270, 274, 32140, 271, 267, 271, 4297, 282, 6003, 2891, 271, 2580, 263, 276, 267, 271, 11924, 1410, 7032, 263, 276, 265, 7032, 270, 274, 32140, 271, 267, 271, 1070, 1042, 5148, 6003, 2891, 3721, 476, 273, 2580, 263, 276, 16427, 273, 32140, 271, 267, 271, 4297, 282, 6003, 2891, 271, 2580, 263, 1015, 267, 271, 11924, 1410, 7032, 263, 271, 32140, 271, 267, 271, 4297, 282, 6003, 2891, 271, 2580, 263, 1015, 267, 271, 11924, 1410, 7032, 263, 7032, 270, 274, 32140, 271, 267, 271, 1070, 1042, 5148, 6003, 2891, 320, 2580, 263, 1015, 267, 271, 11924, 1410, 7032, 263, 273, 265, 7032, 270, 274, 32140, 271, 267, 271, 4297, 282, 6003, 2891, 271, 2580, 263, 1015, 267, 271, 11924, 1410, 7032, 263, 7032, 32140, 271, 267, 271, 1070, 1042, 5148, 6003, 2891, 320, 2580, 263, 1015, 267, 271, 11924, 1410, 7032, 263, 275, 265, 7032, 270, 274, 32140, 271, 267, 271, 4297, 282, 6003, 2891, 271, 2580, 263, 1015, 267, 271, 11924, 1410, 7032, 263, 276, 265, 7032, 270, 274, 32140, 271, 267, 271, 1070, 1042, 5148, 6003, 2891, 3721, 476, 274, 2580, 263, 1015, 16427, 273, 32140, 271, 267, 271, 4297, 282, 6003, 2891, 271, 2580, 263, 1428, 267, 271, 11924, 1410, 7032, 263, 271, 32140, 271, 267, 271, 4297, 282, 6003, 2891, 271, 2580, 263, 1428, 267, 271, 11924, 1410, 7032, 263, 7032, 270, 274, 32140, 271, 267, 271, 1070, 1042, 5148, 6003, 2891, 271, 2580, 263, 1428, 267, 271, 11924, 1410, 7032, 263, 273, 265, 7032, 270, 274, 32140, 271, 267, 271, 4297, 282, 6003, 2891, 271, 2580, 263, 1428, 267, 271, 11924, 1410, 7032, 263, 7032, 32140, 271, 267, 271, 1070, 1042, 5148, 6003, 2891, 271, 2580, 263, 1428, 267, 271, 11924, 1410, 7032, 263, 275, 265, 7032, 270, 274, 32140, 271, 267, 271, 4297, 282, 6003, 2891, 271, 2580, 263, 1428, 267, 271, 11924, 1410, 7032, 263, 276, 265, 7032, 270, 274, 32140, 271, 267, 271, 1070, 1042, 5148, 6003, 2891, 3721, 476, 275, 2580, 263, 1428, 16427, 273, 32140, 271, 267, 271, 4297, 282, 1496, 270, 6470, 316, 259, 0, 258, 13185, 281, 306, 1051, 1537, 1505, 692, 310, 5942, 19061, 1109, 12385, 24136, 630, 305, 730, 1109, 9359, 11665, 267, 1109, 300, 573, 268, 5814, 766, 994, 1607, 2376, 568, 1369, 519, 9165, 540, 26264, 19061, 1109, 12385, 24136, 267, 513, 10319, 4674, 547, 2087, 519, 3795, 540, 9119, 593, 9504, 269, 1403, 596, 1131, 899, 547, 7119, 267, 5225, 3643, 519, 1788, 2985, 267, 1141, 596, 666, 6443, 519, 4901, 543, 1294, 513, 1592, 540, 1930, 4247, 563, 12385, 24136, 1109, 7992, 912, 3399, 1109, 12218, 454, 11068, 1109, 27735, 454, 293, 1752, 281, 476, 1109, 7343, 29736, 6128, 692, 1012, 6613, 20143, 13335, 692, 296, 6410, 519, 3296, 3773, 5063, 1934, 269, 594, 6415, 12922, 972, 616, 1932, 1454, 2152, 609, 621, 269, 17616, 267, 621, 4145, 3592, 519, 1482, 1888 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 547, 12223, 630, 288, 547, 595, 543, 645, 547, 667, 2020, 1103, 713, 2013, 267, 19167, 568, 513, 4583, 6205, 270, 2102, 1968, 540, 5333, 269, 6684, 267, 30567, 756, 531, 568, 513, 4583, 6205, 270, 2102, 1968, 540, 2961, 628, 720, 630, 577, 4069, 589, 1040, 901, 267, 1287, 267, 568, 519, 589, 547, 645, 543, 595, 547, 667, 4276, 780, 2690, 811, 1344, 593, 12746, 625, 267, 581, 2386, 547, 1224, 998, 519, 4013, 1353, 3391, 267, 519, 11134, 1344, 27412, 267, 543, 519, 631, 6210, 9655, 13878, 5816, 256, 0, 258, 13878, 476, 14056, 623, 864, 2160, 15531, 634, 19556, 18880, 11929, 6657, 692, 20373, 692, 13043, 14056, 11929, 272, 2750, 600, 2055, 543, 4542, 6656, 616, 1524, 2630, 1321, 3108, 547, 798, 2560, 780, 273, 27589, 20228, 728, 476, 272, 540, 476, 273, 3430, 16670, 318, 272, 3430, 16670, 318, 272, 3430, 16670, 318, 273, 3430, 16670, 318, 273, 692, 4462, 8971, 1540, 5900, 16670, 2776, 1613, 692, 303, 864, 2160, 454, 293, 718, 476, 1708, 271, 454, 21316, 476, 14056, 10911, 301, 476, 10384, 2767, 454, 9743, 1192, 528, 281, 808, 532, 16441, 454, 2750, 600, 476, 272, 454, 14630, 540, 11929, 281, 9484, 476, 2537, 267, 476, 1708, 271, 454, 21316, 476, 14056, 630, 293, 718, 476, 1708, 271, 264, 12726, 11929, 476, 272, 454, 11243, 281, 12843, 21228, 3071, 1029, 454, 272, 269, 901, 568, 513, 6806, 26247, 543, 6806, 5991, 1774, 981, 269, 1411, 616, 4847, 547, 946, 519, 4542, 6656, 454, 263, 25075, 3660, 676, 519, 14357, 264, 543, 513, 9498, 630, 27023, 881, 610, 24275, 267, 5423, 676, 2875, 1040, 3143, 454, 1278, 5907, 3457, 610, 29000, 2645, 616, 15868, 563, 273, 269, 18763, 1568, 616, 2838, 543, 15197, 269, 7102, 19035, 2623, 1644, 547, 32533, 454, 323, 1005, 519, 981, 786, 581, 1202, 4624, 269, 4258, 908, 538, 519, 981, 786, 1267, 538, 606, 13128, 4642, 6060, 540, 454, 1492, 981, 543, 606, 14357, 4063, 547, 707, 28337, 8257, 543, 2852, 269, 4329, 7634, 454, 663, 10751, 786, 581, 17411, 676, 519, 2160, 563, 274, 269, 634, 981, 568, 476, 272, 5662, 476, 2004, 3764, 269, 4438, 519, 981, 267, 513, 1357, 9219, 786, 581, 15810, 593, 519, 5496, 454, 810, 596, 666, 2638, 519, 942, 563, 28557, 2626, 4805, 1510, 7744, 786, 711, 4309, 2407, 5491, 269, 3487, 658, 5491, 786, 581, 2016, 547, 454, 25074, 6029, 519, 1318, 7744, 563, 276, 269, 3503, 707, 3435, 538, 519, 3177, 10145, 2230, 2630, 1142, 2243, 269, 1403, 3063, 2230, 568, 454, 928, 17660, 267, 5225, 7662, 3063, 1957, 689, 519, 14357, 1282, 519, 981, 563, 12148, 270, 16178, 630, 275, 2798, 1142, 994, 272, 269, 589, 12007, 4756, 17648, 6209, 10230, 2418, 563, 273, 269, 2353, 6310, 4238, 666, 581, 5340, 593, 5223, 27214, 4705, 1239, 563, 274, 269, 589, 27008, 568, 513, 3126, 540, 25965, 1141, 519, 8700, 543, 4463, 540, 1142, 13551, 2099, 454, 1492, 4908, 630, 528, 3448, 4908, 264, 543, 519, 8700, 540, 519, 9757, 1362, 563, 275, 269, 634, 12166, 1611, 568, 513, 3818, 2364, 894, 3328, 540, 513, 1239, 1305, 1031, 547, 2268, 2418, 936, 513, 454, 704, 1675, 540, 942, 563, 276, 269, 634, 13065, 543, 3044, 11539, 616, 519, 1034, 4922, 1031, 3800, 540, 3844, 4087, 563, 272, 454, 303, 864, 2160, 454, 293, 718, 476, 1708, 271, 454, 21316, 476, 14056, 10911, 301, 476, 10384, 2767, 454, 9743, 1192, 528, 281, 808, 532, 16441, 454, 2750, 600, 476, 272, 454, 14630, 540, 11929, 281, 9484, 476, 2537, 267, 476, 1708, 271, 454, 21296, 14893, 630, 275, 2798, 1142, 994, 277, 269, 6904, 540, 519, 1739, 4564, 513, 2551, 543, 513, 3732, 689, 602, 2551, 888, 288, 264, 29934, 4315, 693, 513, 23242, 2680, 267, 543, 1346, 945, 12349, 1402, 25468, 693, 1767, 23242, 2680, 563, 289, 264, 9509, 6066, 5520, 693, 513, 6725, 6109, 267, 543, 10151, 4832, 22631, 693, 519, 6725, 454, 325, 3305, 563, 290, 264, 7354, 12542, 693, 11785, 5441, 543, 1053, 538, 513, 1101, 5498, 332, 6856, 1870, 7194, 1576, 563, 291, 264, 853, 4169, 2139, 593, 519, 12924, 10345, 543, 13632, 593, 519, 7730, 6395, 304, 563, 278, 269, 1323, 15938, 2875, 779, 4567, 630, 325, 3306, 2006, 267, 8683, 558, 648, 267, 21738, 267, 610, 9972, 264, 568, 606, 1383, 540, 454, 6518, 4336, 540, 6482, 888, 288, 264, 22472, 4336, 563, 289, 264, 18103, 1400, 4336, 563, 290, 264, 3955, 1998, 4336, 563, 291, 264, 32633, 1400, 4336, 563, 279, 269, 4841, 538, 7905, 8055, 779, 1870, 7194, 1576, 723, 11117, 519, 2949, 454, 324, 977, 4369, 540, 519, 7548, 779, 6044, 593, 513, 2947, 15304, 4336, 267, 1141, 513, 6060, 540, 476, 272, 6920, 1360, 454, 335, 3233, 2773, 543, 513, 6060, 540, 476, 276, 6920, 14222, 2773, 269, 634, 6151, 8464, 616, 454, 5891, 539, 538, 519, 18913, 3349, 563, 272, 454, 276, 454, 275, 454, 275, 454, 276, 454, 276, 454, 275, 454, 275, 454, 276, 454, 276, 454, 275, 454, 276, 454, 276, 454, 273, 454, 276, 454, 274, 454, 274, 454, 274, 454, 275, 454, 274, 454, 273, 454, 274, 454, 273, 454, 274, 454, 275, 454, 274, 454, 274, 454, 272, 454, 274, 454, 273, 454, 1432, 568, 519, 3448, 4908, 540, 519, 1053, 945, 5795, 7905, 8055, 606, 6268, 540, 476, 274, 888, 288, 264, 476, 271, 269, 274, 454, 289, 264, 476, 271, 269, 276, 454, 290, 264, 476, 280, 454, 291, 264, 476, 1428, 454, 273, 454, 303, 864, 2160, 454, 293, 718, 476, 1708, 271, 454, 21316, 476, 14056, 10911, 301, 476, 10384, 2767, 454, 9743, 1192, 528, 281, 808, 532, 16441, 454, 2750, 600, 476, 272, 454, 14630, 540, 11929, 281, 9484, 476, 2537, 267, 476, 1708, 271, 454, 280, 269, 1548, 1826, 540, 2078, 568, 8612, 538, 519, 14649, 7120, 888, 288, 264, 3143, 2078, 454, 289, 264, 589, 2942, 5276, 2078, 454, 290, 264, 589, 2318, 5276, 2078, 454, 291, 264, 589, 2318, 20078, 559, 710, 541, 2078, 454, 1015, 269, 634, 18913, 3448, 4908, 3892, 4564, 519, 2063, 1032, 1286, 6455, 585, 519, 454, 338, 2297, 3196, 693, 23765, 779, 631, 9298, 13242, 2961, 4741, 563, 10111, 19833, 454, 3374, 909, 547, 476, 3393, 454, 3393, 909, 547, 476, 4649, 454, 4649, 909, 547, 476, 4792, 454, 4792, 909, 547, 476, 4037, 454, 4037, 909, 547, 476, 5952, 454, 9824, 894, 22039, 454, 271, 269, 5881, 454, 271, 269, 1428, 454, 271, 269, 4029, 454, 271, 269, 2420, 454, 271, 269, 1839, 454, 2252, 23765, 779, 18271, 476, 1911, 6455, 15161, 267, 875, 1082, 540, 891, 6455, 15161, 723, 4421, 693, 2547, 476, 4792, 6517, 538, 454, 1492, 2063, 1032, 888, 288, 264, 476, 2420, 454, 289, 264, 476, 1839, 454, 290, 264, 476, 4029, 454, 291, 264, 476, 5325, 454, 274, 454, 303, 864, 2160, 454, 293, 718, 476, 1708, 271, 454, 21316, 476, 14056, 10911, 301, 476, 10384, 2767, 454, 9743, 1192, 528, 281, 808, 532, 16441, 454, 2750, 600, 476, 272, 454, 14630, 540, 11929, 281, 9484, 476, 2537, 267, 476, 1708, 271, 454, 1556, 269, 634, 1739, 6565, 7146, 6122, 2378, 6516, 2982, 519, 11250, 538, 5195, 829, 5662, 630, 332, 874, 264, 540, 476, 1691, 6517, 454, 1952, 549, 2286, 513, 17167, 1630, 1054, 593, 513, 8115, 538, 18718, 1633, 267, 4993, 563, 1805, 655, 454, 273, 454, 274, 454, 275, 454, 8867, 2378, 454, 276, 5780, 8064, 454, 5325, 278, 8660, 454, 16573, 274, 454, 1692, 1082, 540, 519, 6517, 941, 10707, 5488, 982, 476, 1839, 18890, 855, 14887, 982, 476, 2412, 18890, 888, 288, 264, 476, 279, 454, 289, 264, 476, 280, 454, 290, 264, 476, 1015, 454, 291, 264, 476, 1321, 454, 1321, 269, 634, 11667, 3989, 607, 519, 13322, 563, 288, 264, 1647, 1448, 538, 513, 1239, 1305, 563, 289, 264, 12166, 3328, 540, 513, 1239, 1305, 563, 290, 264, 12980, 3328, 540, 513, 1239, 1305, 563, 291, 264, 1034, 1455, 1871, 538, 513, 1239, 1305, 563, 275, 454, 303, 864, 2160, 454, 293, 718, 476, 1708, 271, 454, 21316, 476, 14056, 10911, 301, 476, 10384, 2767, 454, 9743, 1192, 528, 281, 808, 532, 16441, 454, 2750, 600, 476, 272, 454, 14630, 540, 11929, 281, 9484, 476, 2537, 267, 476, 1708, 271, 454, 4467, 11772, 633, 5999, 454, 763, 1739, 1239, 2099, 513, 3732, 540, 1875, 3887, 11915, 6128, 3610, 538, 19161, 523, 454, 15575, 344, 267, 1715, 14948, 269, 8382, 519, 1739, 2055, 563, 300, 7539, 454, 300, 7539, 454, 312, 8986, 20371, 16987, 1466, 454, 279, 454, 1839, 454, 15478, 6858, 267, 280, 3393, 454, 15478, 11025, 267, 280, 1015, 454, 12218, 525, 454, 307, 4381, 454, 277, 454, 275, 454, 289, 659, 3559, 832, 454, 1839, 454, 15478, 10436, 267, 27157, 454, 278, 454, 289, 659, 3559, 832, 454, 274, 454, 15478, 7830, 267, 277, 3445, 454, 276, 454, 300, 7539, 454, 2641, 454, 15478, 11025, 267, 30663, 454, 276, 454, 300, 7539, 454, 300, 7539, 454, 300, 7539, 454, 300, 7539, 454, 300, 7539, 454, 1556, 454, 6078, 454, 4029, 454, 1015, 454, 274, 454, 15478, 11025, 267, 20065, 454, 15478, 8064, 267, 278, 3445, 454, 15478, 11025, 267, 277, 2918, 454, 15478, 11025, 267, 277, 2918, 454, 15478, 7176, 267, 29720, 454, 276, 454, 275, 454, 276, 454, 275, 454, 275, 454, 18662, 454, 291, 12801, 454, 29662, 758, 2515, 661, 2529, 563, 25284, 476, 274, 7232, 332, 1054, 542, 958, 454, 18850, 584, 563, 25284, 476, 274, 7232, 332, 1054, 542, 958, 454, 18850, 584, 563, 25284, 476, 274, 7232, 332, 1054, 542, 958, 454, 18850, 584, 563, 25284, 476, 274, 7232, 332, 1054, 542, 958, 454, 18850, 584, 563, 25284, 476, 276, 21509, 10341, 454, 25284, 476, 276, 21509, 10341, 454, 21946, 776, 454, 13126, 912, 10674, 2517, 874, 335, 269, 1952, 2593, 270, 539, 560, 3530, 270, 29798, 273, 21703, 286, 12248, 344, 284, 21612, 294, 2894, 261, 23251, 2774, 284, 260, 1839, 261, 25217, 284, 260, 1839, 261, 331, 4067, 23751, 261, 325, 4067, 284, 261, 329, 984, 272, 284, 13043, 266, 15239, 7232, 11915, 261, 8138, 2466, 284, 8138, 2466, 454, 1724, 630, 275, 2798, 1040, 14740, 519, 1079, 4632, 609, 5223, 4336, 540, 6482, 563, 1691, 630, 275, 2798, 1040, 1772, 968, 291, 12801, 892, 513, 12007, 610, 513, 11050, 4756, 286, 11512, 563, 1428, 630, 276, 2798, 1040, 5903, 782, 6688, 538, 519, 968, 18662, 892, 4756, 563, 1626, 630, 279, 2798, 1040, 12706, 513, 4908, 3892, 3349, 585, 519, 968, 21946, 776, 892, 4756, 563, 1704, 630, 279, 2798, 1040, 20472, 513, 27008, 585, 519, 968, 21946, 776, 892, 4756, 563, 1240, 630, 274, 2798, 1040, 1215, 1082, 2600, 540, 3610, 6026, 1447, 982, 476, 277, 5049, 888, 276, 454, 303, 864, 2160, 454, 293, 718, 476, 1708, 271, 454, 21316, 476, 14056, 10911, 301, 476, 10384, 2767, 454, 9743, 1192, 528, 281, 808, 532, 16441, 454, 2750, 600, 476, 272, 454, 14630, 540, 11929, 281, 9484, 476, 2537, 267, 476, 1708, 271, 454, 763, 5729, 569, 31245, 630, 1037, 539, 547, 519, 14282, 13362, 264, 585, 717, 17162, 630, 320, 4154, 5385, 21775, 2508, 267, 20922, 454, 553, 1535, 264, 543, 20793, 309, 630, 320, 8988, 5385, 21775, 2508, 267, 20922, 607, 586, 264, 616, 4080, 538, 519, 1739, 3349, 563, 17413, 454, 272, 454, 273, 454, 274, 454, 275, 454, 276, 454, 294, 17162, 454, 4343, 14999, 276, 14999, 2918, 14999, 2918, 14999, 1321, 14999, 20784, 309, 454, 1839, 14999, 1700, 2767, 14999, 4649, 14999, 10602, 14999, 1700, 275, 14999, 866, 630, 279, 2798, 1040, 12433, 519, 3732, 13065, 543, 3732, 3044, 11539, 585, 519, 717, 17162, 543, 454, 20784, 309, 563, 736, 630, 273, 2798, 1040, 6904, 10697, 1185, 513, 2362, 1981, 888, 2641, 630, 275, 2798, 1040, 6904, 10697, 1185, 519, 3152, 3448, 24980, 888, 2420, 630, 277, 2798, 1040, 14674, 519, 2078, 1063, 519, 1079, 7482, 1210, 519, 9756, 11664, 563, 277, 454, 300, 476, 14056, 16504, 10803, 16754, 16847, 454, 289, 30796, 5506, 540, 1535, 18454, 538, 562, 454, 339, 7434, 338, 281, 15855, 481, 263, 31915, 264, 815, 15855, 505, 14256, 370, 31915, 15855, 507, 15855, 354, 630, 272, 6567, 15855, 507, 264, 8740, 505, 6629, 31915, 454, 273, 454, 290, 4141, 2310, 540, 8990, 281, 15855, 509, 21591, 4501, 495, 263, 8740, 355, 392, 480, 6629, 8740 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 2419, 565, 5028, 15435, 538, 27425, 949, 9765, 6167, 20327, 281, 5530, 18550, 476, 1626, 628, 267, 476, 1001, 272, 910, 476, 1321, 281, 2412, 10681, 23559, 676, 4888, 296, 454, 29910, 267, 3057, 269, 1626, 630, 3198, 296, 2567, 634, 26601, 5028, 15435, 538, 27425, 786, 9765, 6167, 20327, 267, 8761, 513, 1007, 1353, 5342, 676, 519, 2160, 540, 4993, 267, 5842, 12770, 630, 308, 5425, 293, 264, 543, 519, 12370, 6481, 3427, 563, 763, 2136, 8315, 685, 814, 6059, 602, 972, 786, 581, 476, 6110, 267, 1822, 2665, 540, 11591, 21539, 531, 2068, 936, 519, 1576, 540, 519, 15435, 269, 1809, 267, 519, 1353, 267, 547, 581, 3370, 538, 519, 4760, 31102, 267, 25221, 602, 519, 1297, 540, 2665, 949, 5595, 543, 3914, 15399, 334, 476, 6507, 280, 267, 1822, 1063, 4728, 543, 5437, 713, 1032, 563, 10527, 15435, 568, 711, 2693, 547, 581, 2110, 3856, 5608, 968, 2005, 568, 2469, 547, 581, 3677, 982, 10567, 538, 2474, 540, 22406, 2338, 543, 786, 2063, 2484, 3476, 982, 519, 3355, 20327, 2223, 634, 25876, 6390, 1325, 1068, 20926, 772, 5425, 293, 2564, 17055, 5842, 329, 599, 5178, 340, 267, 607, 6031, 563, 15368, 340, 267, 945, 5342, 519, 1353, 609, 26778, 12448, 338, 267, 513, 5449, 772, 5425, 293, 17055, 267, 1767, 602, 1614, 1857, 1072, 7459, 1590, 581, 1031, 676, 519, 8128, 547, 1225, 18571, 519, 15435, 269, 4658, 1590, 581, 3177, 2973, 1216, 267, 12674, 543, 1697, 11216, 563, 26046, 5267, 602, 15084, 2126, 666, 581, 519, 1034, 2500, 1259, 547, 4688, 5215, 540, 2729, 538, 27425, 563, 6097, 547, 5178, 340, 267, 519, 1164, 1942, 540, 519, 11216, 2306, 621, 2352, 547, 2327, 922, 1569, 547, 519, 1004, 563, 28606, 17067, 267, 1100, 2665, 540, 26601, 5028, 941, 10805, 538, 27425, 267, 855, 1813, 547, 519, 14042, 13091, 538, 476, 1001, 271, 267, 519, 2068, 814, 7153, 607, 513, 2101, 15435, 563, 8310, 1032, 267, 1063, 5239, 543, 5412, 5176, 476, 5611, 267, 1822, 1004, 538, 27425, 11124, 689, 26601, 5028, 267, 543, 936, 476, 274, 267, 1822, 1004, 1185, 5747, 269, 630, 3198, 296, 994, 268, 27425, 26601, 5028, 17167, 10301, 476, 274, 267, 4792, 272, 910, 3967, 476, 5881, 267, 476, 1001, 272, 454, 268, 20951, 1014, 4250, 7839, 15435, 607, 26601, 5028, 12176, 2669, 17167, 538, 27425, 20546, 525, 476, 7742, 910, 4239, 476, 1839, 267, 476, 1001, 271, 454, 268, 6167, 10136, 4547, 26601, 5028, 547, 27425, 281, 1867, 910, 5463, 476, 5400, 267, 476, 1001, 271, 454, 268, 22707, 585, 27425, 513, 10862, 607, 476, 7785, 267, 1822, 1869, 2661, 538, 13122, 1739, 844, 820, 910, 4239, 476, 6187, 267, 476, 1001, 272, 454, 268, 3683, 476, 273, 267, 4968, 1631, 4666, 689, 26601, 5028, 538, 27425, 910, 5463, 476, 1691, 267, 476, 1001, 271, 454, 268, 27425, 26601, 5028, 17167, 14380, 547, 476, 273, 267, 6795, 272, 910, 5463, 476, 2420, 267, 476, 1001, 271, 454, 268, 27425, 781, 26601, 5028, 8833, 3357, 689, 3162, 5607, 281, 5530, 910, 5463, 476, 1556, 267, 476, 1001, 271, 454, 268, 3683, 476, 273, 267, 10384, 4666, 538, 27425, 689, 26601, 5028, 910, 5463, 476, 2764, 267, 476, 1001, 271, 454, 268, 27425, 26601, 5028, 17167, 14380, 547, 476, 273, 267, 276, 3374, 910, 5463, 476, 866, 267, 476, 1001, 271, 454, 268, 8111, 30132, 3085, 1405, 10460, 1072, 1981, 281, 12080, 910, 4455, 476, 5881, 267, 476, 1001, 272, 454, 268, 932, 565, 5028, 28787, 338, 476, 3422, 22032, 769, 27425, 267, 12280, 570, 3326, 2904, 22547, 910, 4239, 476, 2537, 267, 476, 1001, 271, 454, 268, 1412, 5591, 2333, 538, 3075, 4187, 538, 26601, 5028, 4551, 262, 910, 4455, 476, 1724, 267, 476, 1001, 272, 454, 268, 27425, 26601, 5028, 7972, 1283, 476, 272, 267, 4335, 910, 8734, 476, 2918, 267, 476, 1001, 271, 454, 268, 19168, 26601, 5028, 17167, 14380, 547, 476, 2641, 910, 4455, 476, 866, 267, 476, 1001, 273, 454, 268, 932, 565, 5028, 15435, 19754, 476, 1556, 538, 19168, 910, 4455, 476, 4962, 267, 476, 1001, 273, 454, 30475, 281, 15084, 2126, 267, 11216, 267, 1608, 4727, 7254, 21473, 322, 8646, 267, 2665, 540, 26601, 5028, 267, 26601, 5028, 15435, 267, 2973, 1216, 267, 14042, 13091, 267, 3771, 10542, 2564, 1153, 267, 3355, 20327, 267, 795, 1783, 543, 4319, 338, 267, 4760, 561, 4545, 564, 267, 2564, 17055, 267, 1857, 1072, 7459, 267, 7254, 329, 599, 1666, 340, 267, 22406, 2338, 267, 579, 14369, 325, 2564, 267, 8087, 6082, 267, 6280, 540, 1608, 4727, 267, 6280, 540, 1608, 4727, 7254, 21473, 322, 8646, 267, 12674, 0, 8266, 540, 2904, 476, 1789, 8466, 15638, 543, 12700, 454, 268, 476, 14631, 277, 281, 3751, 8361, 24163, 540, 4789, 544, 1551, 625, 13191, 1530, 2096, 712, 267, 513, 14799, 2987, 2914, 320, 1746, 547, 1010, 1101, 1079, 24726, 563, 268, 476, 14631, 280, 281, 769, 8419, 267, 670, 1716, 18372, 632, 590, 9369, 3338, 693, 570, 2086, 320, 7345, 609, 476, 7785, 7980, 609, 519, 3804, 540, 4466, 4154, 563, 268, 476, 14991, 275, 281, 8361, 8633, 3587, 3751, 540, 5333, 563, 268, 476, 15647, 279, 281, 634, 2063, 6928, 540, 519, 5053, 14022, 3385, 5036, 13743, 689, 28988, 2548, 16144, 585, 519, 2296, 19305, 563, 268, 476, 14321, 272, 281, 22910, 540, 5487, 30657, 8291, 267, 1101, 3943, 11356, 563, 268, 476, 14321, 276, 281, 774, 8812, 13012, 685, 2782, 281, 519, 13458, 540, 26285, 826, 568, 9896, 563, 268, 476, 13932, 273, 281, 3245, 713, 4266, 782, 4378, 2293, 11292, 676, 8176, 594, 616, 24794, 1051, 1947, 3045, 592, 1194, 676, 12057, 563, 268, 476, 5197, 277, 281, 12448, 12722, 19754, 8176, 16299, 8657, 538, 513, 546, 3241, 1310, 16299, 8657, 1185, 15034, 12722, 779, 7385, 540, 2462, 18081, 563, 268, 476, 8687, 275, 281, 16486, 4577, 12668, 281, 2782, 540, 519, 14520, 628, 29663, 281, 519, 15521, 540, 8303, 568, 9896, 13059, 3943, 10665, 547, 741, 476, 9692, 273, 6708, 269, 19167, 12844, 777, 27525, 568, 608, 6150, 547, 4432, 9346, 563, 268, 476, 8687, 276, 281, 634, 5101, 1473, 3554, 534, 6928, 23172, 626, 517, 568, 20739, 22486, 1282, 513, 7088, 693, 20613, 523, 16852, 7416, 4920, 267, 2282, 15729, 3397, 592, 13757, 267, 1459, 6377, 3162, 4000, 267, 609, 519, 2530, 540, 476, 4391, 273, 2729, 563, 268, 476, 8146, 273, 281, 7736, 540, 519, 670, 3711, 778, 16635, 538, 10910, 514, 14657, 6261, 531, 520, 3729, 267, 5125, 563, 268, 476, 8146, 273, 281, 634, 681, 728, 879, 22575, 538, 9456, 14411, 568, 8118, 563, 268, 476, 8146, 275, 281, 808, 10394, 638, 574, 4165, 383, 505, 333, 1470, 632, 3397, 340, 3511, 3390, 513, 1876, 24773, 5109, 968, 718, 5996, 757, 267, 20708, 625, 267, 12621, 267, 4662, 1182, 543, 1022, 824, 8075, 540, 519, 2834, 3909, 9753, 5608, 15980, 1864, 519, 28215, 540, 968, 763, 29443, 541, 11860, 14525, 9731, 268, 476, 7277, 273, 281, 3627, 14731, 8942, 547, 12638, 10348, 15117, 607, 1352, 11479, 1524, 9139, 10830, 267, 5507, 609, 13584, 15751, 563, 268, 476, 6977, 275, 281, 634, 17857, 9539, 324, 24902, 2920, 3587, 1876, 9591, 519, 2475, 11182, 540, 27228, 543, 17857, 563, 268, 476, 6977, 280, 281, 31689, 779, 8262, 5484, 678, 836, 585, 519, 1101, 942, 538, 5507, 563, 268, 476, 5908, 279, 281, 5463, 2610, 4303, 568, 4767, 538, 519, 2136, 2276, 585, 519, 1101, 942, 4586, 268, 476, 6942, 272, 281, 634, 8303, 2155, 2317, 8813, 563, 268, 476, 6942, 277, 281, 16368, 521, 23546, 19869, 268, 592, 5025, 345, 714, 568, 1244, 2216, 543, 16309, 676, 1010, 683, 15343, 342, 12653, 520, 966, 563, 268, 476, 6942, 280, 281, 1715, 3840, 4975, 779, 16500, 332, 2803, 12567, 568, 26948, 23885, 12384, 12567, 676, 5261, 8361, 966, 6387, 321, 2830, 543, 568, 8118, 547, 519, 1857, 693, 476, 2918, 628, 9335, 543, 23885, 22971, 563, 268, 476, 6642, 274, 281, 769, 1715, 3840, 4975, 267, 513, 15555, 528, 602, 519, 27201, 15167, 568, 2469, 547, 12900, 3123, 513, 16826, 27827, 602, 5880, 1127, 12964, 1004, 563, 268, 476, 4489, 272, 281, 2311, 519, 4095, 24550, 16359, 17726, 3118, 267, 519, 1101, 4095, 24550, 476, 4335, 7475, 609, 14105, 4498, 709, 333, 538, 1010, 631, 1301, 517, 654, 5684, 4742, 519, 1101, 16771, 540, 519, 476, 4335, 28902, 10081, 5198, 563, 268, 476, 4489, 274, 281, 3689, 26811, 534, 2782, 281, 519, 15521, 540, 5507, 267, 476, 4489, 274, 568, 9896, 10678, 519, 2112, 269, 24640, 807, 3587, 606, 4830, 4182, 563, 268, 476, 4489, 275, 281, 634, 1007, 543, 1287, 4102, 595, 684, 731, 5836, 561, 10719, 681, 5960, 589, 10181, 16492, 267, 476, 3393, 267, 5038, 278, 9748, 267, 5036, 521, 5661, 593, 1200, 30823, 523, 22116, 689, 20506, 23051, 267, 4789, 547, 1715, 3840, 4975, 563, 268, 476, 4489, 278, 281, 12138, 594, 3587, 4622, 540, 10255, 563, 268, 476, 4572, 273, 281, 769, 6115, 267, 667, 5861, 269, 519, 12493, 17341, 568, 6131, 563, 268, 476, 4572, 276, 281, 2904, 476, 1789, 11873, 281, 29258, 27391, 531, 17318, 10414, 8929, 476, 1724, 13889, 532, 4600, 547, 2669, 563, 268, 476, 3707, 272, 281, 2622, 2782, 4083, 281, 2494, 12994, 717, 548, 345, 657, 543, 24347, 565, 657, 16114, 553, 18214, 593, 519, 23723, 1014, 3600, 24227, 267, 15237, 1524, 519, 13303, 2220, 770, 11986, 563, 268, 476, 3707, 273, 281, 2622, 2782, 4083, 281, 476, 1911, 271, 3703, 17177, 1499, 10131, 513, 476, 3445, 18826, 4323, 593, 595, 860, 928, 267, 5125, 563, 268, 476, 3707, 279, 281, 589, 546, 833, 2059, 519, 14700, 12052, 5211, 9397, 267, 21933, 3438, 908, 11709, 1636, 267, 14822, 1369, 3764, 563, 268, 476, 4198, 279, 281, 17341, 4303, 281, 519, 3788, 540, 1079, 796, 30009, 1977, 1425, 545, 18779, 267, 7166, 538, 2962, 1282, 2622, 2782, 4083, 543, 519, 11114, 2782, 6606, 267, 616, 12617, 693, 519, 570, 4861, 540, 519, 32148, 22307, 1512, 538, 1488, 28002, 2817, 30895, 563, 268, 476, 4198, 280, 281, 634, 589, 3089, 1633, 4498, 13118, 15167, 267, 15385, 519, 27016, 655, 1092, 4498, 13118, 538, 589, 3089, 1633, 267, 1715, 10215, 267, 568, 13166, 8118, 676, 17135, 29731, 7083, 29154, 5069, 563, 268, 476, 3422, 272, 281, 7043, 942, 29401, 9598, 1807, 681, 2378, 6130, 22427, 329, 21034, 568, 18272, 3990, 538, 16114, 334, 667, 4040, 334, 267, 29401, 6243, 563, 268, 476, 3422, 274, 281, 589, 13889, 1996, 605, 4211, 987, 4301, 7130, 1282, 519, 14418, 6433, 568, 4371, 3544, 3162, 10476, 779, 2817, 13909, 267, 519, 1101, 1930, 17431, 1282, 519, 5216, 4458, 4341, 540, 715, 2998, 20550, 327, 4144, 655, 563, 268, 476, 3422, 277, 281, 4813, 518, 5556, 565, 3150, 11788, 10579, 5345, 30658, 324, 13690, 9346, 543, 1896, 824, 14761, 616, 15597, 13401, 538, 918, 1231, 13757, 320, 593, 519, 9753, 540, 5518, 9478, 22994, 583, 340, 563, 268, 476, 3422, 277, 281, 10131, 540, 11752, 528, 476, 272, 519, 1101, 2475, 14361, 547, 3035, 13941, 593, 606, 31373, 14111, 1560, 563, 268, 476, 3422, 278, 281, 634, 30645, 8109, 16323, 32141, 7115, 607, 519, 6243, 540, 645, 807, 325, 571, 267, 26354, 513, 3540, 2112, 563, 268, 476, 3192, 272, 281, 3057, 10719, 1982, 281, 3057, 10719, 476, 280, 568, 9250, 547, 4786, 476, 3583, 260, 540, 519, 2627, 267, 543, 547, 1353, 13796, 2242, 538, 519, 5790, 543, 2627, 267, 540, 9370, 563, 268, 476, 3192, 273, 281, 634, 4911, 787, 23394, 1228, 4422, 593, 4693, 936, 513, 3126, 540, 476, 1839, 10514, 902, 2429, 6628, 563, 268, 476, 3192, 273, 281, 769, 20052, 2997, 643, 2818, 540, 519, 5545, 4414, 8136, 4163, 856, 519, 700, 617, 23076, 7136, 21492, 267, 11318, 476, 2190, 1004, 543, 3614, 1005, 476, 4281, 1866, 563, 268, 476, 2735, 280, 281, 570, 1014, 534, 5443, 12384, 17600, 540, 476, 2735, 280, 281, 519, 476, 3451, 20356, 1164, 968, 18661, 12549, 540, 22640, 892, 18533, 568, 30792, 538, 570, 1014, 534, 5443, 12384, 676, 2875, 3087, 2209, 563, 268, 476, 1960, 279, 281, 589, 9588, 476, 277, 269, 277, 13091, 16125, 7187, 15787, 267, 11318, 909, 547, 476, 276, 267, 1822, 563, 268, 476, 1220, 273, 281, 476, 26604, 2395, 1310, 519, 5181, 476, 1556, 6285, 267, 14656, 18428, 616, 4371, 585, 519, 2973, 909, 22812, 11734, 3646, 693, 519, 2622, 11780, 4741, 3135, 538, 1715, 3840, 4975, 269, 634, 2063, 6967, 5374, 11237 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 519, 2831, 789, 8359, 269, 1358, 786, 1287, 1826, 713, 909, 538, 938, 23559, 8400, 543, 786, 946, 621, 607, 851, 540, 741, 3803, 8400, 950, 789, 946, 1412, 2815, 262, 547, 1711, 741, 3803, 1867, 269, 1452, 678, 18967, 3817, 786, 1287, 581, 9102, 543, 1500, 883, 513, 1433, 602, 3568, 1344, 827, 930, 540, 519, 2831, 538, 519, 590, 699, 978, 564, 328, 563, 296, 849, 1544, 593, 2348, 713, 8737, 1433, 23345, 5196, 938, 24766, 865, 602, 789, 666, 2671, 741, 960, 609, 741, 3237, 563, 7628, 519, 3018, 649, 3513, 723, 476, 274, 12784, 7886, 827, 713, 1788, 2676, 268, 11585, 910, 1141, 538, 519, 1158, 270, 4133, 3874, 543, 875, 621, 781, 1114, 547, 23600, 910, 946, 519, 654, 4512, 1341, 2588, 4209, 7044, 454, 268, 606, 4367, 547, 9249, 543, 1946, 891, 2831, 2661, 972, 270, 754, 11139, 2831, 454, 268, 1148, 910, 513, 4786, 540, 519, 590, 699, 978, 564, 328, 609, 519, 2831, 789, 723, 2854, 827, 454, 4002, 11016, 519, 2462, 1445, 786, 581, 593, 519, 946, 540, 519, 654, 4512, 543, 519, 1434, 16542, 2556, 547, 1205, 519, 1655, 856, 540, 741, 654, 4512, 8400, 910, 594, 6415, 3206, 540, 4758, 12587, 585, 519, 1297, 540, 6859, 6913, 910, 26759, 519, 2362, 519, 1297, 540, 6859, 6913, 519, 1732, 519, 16542, 786, 723, 1044, 269, 2991, 1142, 654, 4512, 8400, 594, 3513, 4647, 519, 6337, 3144, 609, 519, 3059, 8254, 865, 602, 519, 1453, 786, 581, 2111, 547, 946, 873, 538, 741, 1412, 2815, 262, 5359, 563, 2691, 519, 1453, 5749, 1405, 1210, 519, 654, 4512, 789, 786, 581, 538, 519, 23559, 24194, 2870, 741, 3803, 1867, 269, 0, 13328, 1426, 5777, 865, 1563, 476, 277, 2600, 538, 5147, 267, 10678, 513, 1792, 752, 540, 1614, 15654, 3275, 540, 23229, 267, 1739, 513, 8325, 2333, 538, 10286, 543, 4006, 5777, 267, 519, 2136, 8315, 685, 5253, 543, 11982, 9257, 1767, 593, 13628, 563, 763, 14174, 302, 5253, 12313, 12039, 267, 799, 3800, 10865, 3902, 2242, 538, 24799, 267, 10683, 267, 5779, 267, 4006, 543, 3282, 572, 2644, 267, 9782, 547, 476, 22659, 2798, 538, 5147, 267, 606, 2333, 540, 476, 1321, 2798, 689, 476, 1001, 2798, 538, 4873, 269, 634, 2698, 568, 1869, 1134, 2630, 519, 8445, 540, 476, 24487, 2798, 6603, 538, 5988, 476, 1001, 272, 269, 14174, 302, 267, 1759, 538, 7507, 267, 2356, 1281, 711, 3390, 922, 4994, 538, 4864, 855, 4956, 547, 5305, 621, 1317, 540, 519, 4049, 4365, 1472, 519, 1158, 267, 1519, 519, 10980, 538, 519, 29268, 563, 763, 3919, 779, 23611, 3902, 4994, 30714, 476, 18605, 2798, 538, 5147, 267, 909, 476, 1704, 2600, 267, 610, 476, 4343, 2798, 267, 689, 4873, 543, 1152, 476, 1691, 2798, 2630, 922, 782, 6066, 1164, 540, 476, 28638, 2798, 538, 4989, 476, 1220, 279, 269, 24583, 531, 2882, 9274, 971, 607, 8970, 267, 7573, 267, 28113, 543, 30383, 563, 10527, 4049, 21324, 540, 22959, 7693, 16548, 538, 519, 2136, 2276, 267, 1739, 10980, 2175, 543, 7050, 3002, 1282, 2565, 5933, 540, 519, 7693, 1646, 267, 14593, 909, 22959, 630, 25468, 264, 5777, 676, 3592, 476, 2537, 2600, 538, 5147, 2223, 519, 14174, 302, 1767, 538, 513, 3948, 563, 763, 10980, 267, 7133, 811, 982, 476, 2568, 2600, 540, 519, 733, 27631, 2136, 2276, 267, 568, 519, 10782, 2094, 476, 4198, 277, 269, 634, 3441, 568, 2523, 4049, 538, 519, 29268, 1141, 519, 17794, 779, 2671, 540, 519, 2197, 779, 8970, 543, 29704, 7031, 616, 6738, 269, 634, 22340, 1767, 593, 11728, 3368, 540, 519, 772, 2529, 269, 8970, 7693, 543, 476, 4375, 2600, 540, 519, 29704, 7693, 568, 538, 1360, 4057, 543, 4057, 2783, 269, 19578, 779, 8970, 543, 29704, 7693, 2175, 8272, 549, 1042, 519, 772, 2529, 269, 25939, 563, 763, 772, 2529, 269, 2229, 568, 16516, 547, 9337, 922, 7693, 2504, 543, 6556, 1239, 585, 8970, 267, 13386, 28369, 543, 824, 7031, 593, 11016, 6640, 269, 634, 1239, 786, 2992, 519, 10980, 779, 1764, 1282, 5147, 950, 2175, 7707, 2989, 269, 0, 23272, 3626, 1053, 538, 4993, 1107, 5176, 476, 272, 269, 274, 2929, 540, 873, 2296, 6267, 1107, 616, 10010, 547, 3035, 4081, 1967, 693, 519, 1482, 1377, 607, 741, 3043, 9905, 269, 769, 968, 13750, 814, 835, 540, 4182, 779, 5207, 10616, 538, 17104, 22554, 2542, 15334, 2223, 8861, 12275, 1633, 5359, 602, 1152, 476, 1321, 2600, 540, 17104, 8772, 3766, 2784, 619, 538, 4993, 7318, 21295, 538, 2542, 538, 476, 1220, 280, 269, 6348, 2889, 22327, 267, 2229, 8041, 543, 3237, 723, 782, 9250, 11044, 936, 519, 1296, 547, 2673, 519, 1565, 7934, 267, 855, 2370, 3356, 814, 1044, 1500, 563, 2414, 1732, 1174, 519, 5072, 540, 519, 21337, 1565, 7934, 543, 2263, 1761, 3435, 267, 649, 12038, 609, 4793, 878, 807, 717, 5451, 526, 4673, 267, 1071, 1673, 1311, 528, 540, 634, 6406, 7126, 5741, 693, 17459, 6369, 543, 606, 4274, 593, 519, 21337, 9740, 7934, 563, 30210, 13772, 281, 6496, 519, 21337, 1565, 7934, 8831, 3564, 519, 4928, 286, 3807, 875, 24245, 540, 513, 1966, 568, 713, 888, 303, 6222, 807, 717, 5451, 526, 4673, 281, 1284, 723, 1382, 602, 2982, 1453, 607, 1762, 607, 476, 1240, 3275, 2025, 723, 1713, 10616, 538, 741, 7041, 585, 1565, 269, 901, 568, 1360, 1454, 13615, 547, 6710, 543, 19319, 269, 1879, 21337, 1453, 4283, 9656, 267, 789, 616, 3648, 3297, 741, 3043, 9905, 2560, 1354, 789, 4076, 1256, 1044, 547, 9656, 256, 898, 779, 21049, 269, 590, 4869, 344, 2600, 540, 1306, 2103, 723, 513, 20277, 779, 630, 323, 12801, 1040, 10783, 344, 2600, 540, 16543, 723, 693, 2547, 513, 20277, 779, 269, 774, 597, 10117, 2600, 1993, 5824, 657, 723, 20277, 779, 5232, 269, 8409, 9740, 10616, 616, 11999, 543, 10770, 543, 3478, 9962, 936, 519, 2063, 1614, 5756, 269, 2334, 267, 547, 803, 267, 568, 1360, 17559, 563, 290, 310, 281, 898, 779, 15069, 513, 4161, 547, 1451, 513, 1007, 1893, 593, 1283, 540, 707, 2834, 1153, 1740, 267, 855, 1018, 824, 9465, 798, 2296, 6267, 538, 4993, 3068, 888, 22333, 281, 898, 779, 6140, 711, 513, 1893, 3390, 269, 1284, 917, 602, 1647, 11665, 3214, 945, 2097, 689, 1022, 1747, 538, 519, 1158, 711, 6340, 2296, 2356, 723, 827, 513, 1032, 779, 942, 602, 621, 779, 2352, 267, 1360, 4101, 267, 2182, 269, 3973, 789, 1205, 593, 547, 1153, 543, 1419, 798, 1732, 982, 5065, 23899, 3214, 269, 898, 779, 513, 2339, 540, 6710, 267, 19319, 267, 19366, 4567, 269, 12140, 602, 798, 711, 5965, 3214, 1134, 267, 602, 616, 9678, 269, 8866, 616, 711, 6534, 547, 5065, 2296, 10529, 269, 1656, 972, 779, 1164, 10688, 1851, 3610, 269, 630, 5445, 1419, 1810, 1406, 3251, 693, 519, 3506, 585, 1279, 8094, 290, 310, 281, 3509, 3988, 949, 581, 14281, 547, 1451, 602, 1034, 2296, 6267, 616, 4535, 538, 519, 2136, 2276, 563, 22333, 281, 25999, 269, 21661, 519, 4182, 267, 11776, 814, 1044, 1259, 1524, 269, 634, 2338, 11385, 622, 267, 855, 621, 779, 2312, 476, 3199, 547, 476, 5952, 2600, 616, 4535, 1934, 269, 1358, 616, 1453, 540, 11082, 267, 855, 711, 11082, 2933, 269, 1358, 2461, 938, 3214, 563, 290, 310, 281, 1548, 616, 824, 20887, 827, 2296, 6267, 888, 22333, 281, 4658, 1589, 1893, 568, 519, 1292, 3390, 950, 621, 779, 711, 269, 1284, 1294, 513, 2603, 540, 3214, 945, 2097, 538, 519, 1647, 540, 741, 1153, 1296, 269, 1703, 779, 606, 13429, 602, 952, 789, 1810, 1406, 917, 513, 1641, 538, 2296, 267, 789, 1810, 1406, 917, 621, 269, 12321, 1328, 11974, 547, 1294, 2436, 789, 917, 621, 538, 741, 5065, 1893, 269, 4658, 945, 723, 2907, 3144, 5049, 616, 2322, 883, 1121, 539, 658, 5049, 269, 2052, 596, 4952, 2348, 547, 1451, 7998, 950, 596, 2461, 711, 2613, 539, 538, 519, 1893, 888, 290, 310, 281, 1548, 3268, 666, 3237, 610, 7255, 6105, 1491, 547, 2673, 713, 7934, 888, 22333, 281, 2913, 779, 2911, 1101, 827, 1018, 789, 12582, 1406, 798, 269, 5213, 1406, 2119, 547, 4001, 707, 3214, 2296, 693, 1753, 952, 596, 1810, 1406, 3717, 2296, 1134, 269, 898, 779, 513, 2731, 3983, 2856, 269, 1684, 711, 6432, 547, 1004, 945, 2995, 596, 547, 798, 713, 269, 1411, 2461, 711, 2469, 547, 723, 519, 1482, 1377, 540, 6643, 609, 707, 1126, 602, 596, 1131, 538, 513, 1893, 602, 596, 2965, 723, 513, 4971, 540, 269, 1924, 596, 791, 1478, 880, 741, 6863, 269, 3367, 547, 3214, 538, 707, 5065, 1893, 269, 6435, 873, 1020, 540, 513, 2648, 540, 2542, 538, 606, 1604, 596, 1312, 1745, 6899, 538, 563, 27039, 593, 1141, 519, 3237, 2097, 689, 1107, 543, 519, 5354, 540, 891, 3237, 2097, 689, 6792, 1107, 972, 779, 606, 13429, 602, 513, 2385, 3085, 1406, 723, 513, 1804, 5639, 538, 1018, 4523, 538, 1153, 269, 1358, 4076, 711, 1044, 1500, 547, 1745, 10950, 538, 1153, 3622, 269, 630, 2252, 596, 616, 513, 4116, 610, 23070, 1070, 798, 3914, 856, 543, 1577, 891, 3237, 917, 972, 568, 606, 20772, 693, 519, 1153, 540, 968, 2171, 1616, 596, 547, 7119, 892, 543, 968, 2171, 1616, 547, 723, 891, 7391, 609, 596, 1848, 2986, 1576, 267, 602, 1797, 596, 723, 547, 723, 18825, 693, 519, 1153, 945, 666, 723, 891, 7391, 269, 5213, 1406, 8263, 602, 3237, 1810, 1406, 1616, 547, 7119, 269, 898, 779, 2686, 269, 898, 814, 547, 581, 25559, 539, 269, 634, 9977, 4659, 585, 10866, 4065, 814, 2944, 713, 269, 1358, 798, 513, 2898, 3126, 6158, 547, 3237, 538, 741, 1378, 1893, 267, 3450, 873, 1018, 621, 568, 602, 3237, 616, 4397, 547, 798, 267, 1018, 789, 666, 798, 1318, 972, 693, 519, 1153, 1377, 267, 1018, 779, 2838, 547, 10927, 543, 1205, 883, 2852, 267, 547, 1831, 741, 1378, 15156, 269, 1403, 596, 2461, 513, 2385, 267, 979, 547, 707, 9030, 543, 7662, 513, 1982, 899, 713, 269, 1703, 568, 1100, 1259, 602, 3610, 616, 2469, 547, 917, 1919, 269, 898, 779, 2565, 602, 3237, 1831, 18164, 563, 290, 310, 281, 1160, 6570, 476, 25375, 3908, 19636, 2069, 538, 4993, 267, 855, 972, 616, 17756, 1082, 3237, 616, 711, 3222, 540, 269, 2052, 596, 2491, 888, 22333, 281, 14268, 1810, 1406, 917, 827, 621, 269, 10988, 760, 1023, 1810, 1406, 917, 827, 621, 269, 7102, 1126, 936, 476, 1015, 1296, 2025, 12303, 814, 13128, 608, 18277, 269, 634, 1876, 568, 585, 1453, 10416, 896, 476, 1015, 1296, 540, 2085, 269, 1403, 513, 1126, 568, 936, 476, 1015, 1296, 2025, 543, 519, 1153, 7959, 621, 949, 1683, 513, 1732, 1982, 267, 519, 1126, 568, 23614, 269, 14268, 1107, 596, 1175, 991, 513, 1895, 540, 476, 736, 3237, 1107, 666, 979, 3747, 602, 789, 1616, 513, 1362, 610, 930, 5049, 538, 513, 1893, 602, 741, 1453, 666, 1174, 610, 602, 789, 1616, 519, 1453, 547, 581, 6026, 536, 4979, 1302, 269, 1703, 779, 513, 3649, 1853, 267, 543, 3506, 616, 676, 1876, 2838, 547, 723, 891, 3029, 2139, 585, 519, 3237, 269, 1403, 519, 1153, 3112, 585, 8726, 2601, 1683, 585, 713, 267, 789, 616, 16155, 8078, 730, 547, 1683, 585, 519, 1126, 610, 1453, 547, 4483, 547, 513, 1153, 1141, 972, 568, 971, 513, 1362, 563, 290, 310, 281, 1548, 568, 5741, 25663, 888, 22333, 281, 898, 779, 513, 5698, 1063, 519, 11204, 2229, 543, 2160, 540, 4993, 269, 6168, 5216, 1296, 3516, 267, 649, 7722, 609, 519, 11204, 2229, 547, 946, 513, 11204, 6437, 267, 799, 649, 13988, 547, 2743, 4993, 4441, 267, 538, 2979, 543, 2257, 269, 8866, 1934, 538, 4993, 666, 1491, 7350, 610, 7998, 610, 9511, 269, 1403, 789, 2461, 3811, 538, 891, 6030, 267, 789, 1205, 5491, 585, 621, 269, 1284, 4076, 1044, 3257, 713, 538, 2185, 3506, 1472, 519, 1533, 269, 1284, 4076, 1185, 811, 982, 513, 8536, 1576, 18934, 906, 269, 898, 779, 2228, 267, 855, 3214, 1569, 621, 538, 519, 4928, 269, 898, 779, 782, 25358, 676, 513, 4116, 269, 630, 9596, 811, 827, 5741, 25663, 693, 5291, 2517, 322, 2753, 23412, 2889, 915, 269, 16090, 320, 12975, 24579, 915, 338, 24579, 915, 1606, 565, 8094, 2467, 616, 513, 1297, 540, 2229, 8041, 543, 3906, 6131, 547, 19636, 2069, 543, 5924, 14656, 519, 9740, 7934, 269, 3371, 616, 1896, 1883, 5716, 912, 30210, 4972, 540, 4065, 454, 17490, 281, 476, 280, 1626, 268, 29204, 268, 24699, 271, 630, 2102, 1968, 1070, 476, 280, 1626, 268, 29204, 268, 6021, 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 ]
[ 0, 3848, 476, 277, 281, 4197, 27284, 7126, 910, 589, 17714, 3414, 5384, 538, 3127, 692, 7072, 912, 5970, 596, 2479, 2219, 827, 1018, 621, 1797, 547, 723, 2924, 286, 2107, 1141, 789, 2097, 689, 286, 5272, 1268, 814, 1978, 2596, 2924, 602, 616, 1898, 585, 873, 547, 2661, 609, 15683, 543, 5191, 269, 1452, 616, 1572, 4909, 2924, 269, 1358, 2149, 721, 689, 2800, 543, 2327, 602, 649, 616, 5701, 9425, 543, 8449, 676, 938, 2229, 543, 2486, 269, 2913, 781, 2263, 875, 891, 2924, 3357, 547, 581, 6444, 543, 6870, 538, 3127, 2439, 4089, 476, 272, 281, 1548, 3657, 27284, 7126, 888, 293, 1495, 4442, 2924, 616, 2027, 20038, 2016, 547, 1169, 1367, 896, 519, 1876, 269, 901, 2882, 1919, 899, 519, 1318, 547, 7862, 267, 5191, 540, 4633, 267, 543, 4027, 1996, 7130, 269, 5994, 952, 2576, 941, 4847, 547, 1521, 596, 15490, 569, 1175, 1317, 540, 707, 4008, 267, 4984, 267, 610, 22634, 1107, 602, 1131, 581, 4636, 256, 2334, 781, 1946, 2348, 4909, 2924, 568, 865, 1271, 282, 789, 948, 1711, 513, 4023, 543, 1175, 2486, 780, 4089, 476, 273, 281, 634, 24306, 540, 27284, 7126, 538, 3127, 454, 4131, 781, 979, 1394, 538, 942, 547, 1451, 827, 3504, 4095, 3656, 1949, 269, 4634, 5215, 540, 1296, 3516, 267, 1004, 6956, 519, 2956, 540, 7863, 2043, 685, 2924, 269, 1280, 1383, 267, 1082, 2757, 4095, 5931, 2911, 827, 8156, 782, 1480, 7919, 607, 11224, 267, 7488, 540, 741, 4282, 269, 1924, 267, 1256, 1498, 972, 729, 1100, 4013, 1592, 540, 834, 325, 1495, 4442, 2924, 2437, 519, 2856, 540, 18245, 1866, 543, 4180, 5126, 1185, 2907, 3144, 3597, 538, 4095, 2528, 780, 4089, 476, 274, 281, 1215, 3703, 14329, 932, 6548, 12085, 454, 2691, 519, 3703, 32519, 3127, 267, 789, 4547, 1007, 4031, 543, 2081, 540, 12044, 269, 2755, 930, 540, 891, 2242, 5280, 2413, 1125, 3127, 781, 3656, 1062, 267, 1866, 2813, 1007, 2591, 269, 4658, 3459, 14053, 811, 2161, 538, 875, 789, 941, 18170, 543, 8179, 1732, 4027, 540, 741, 2924, 269, 24285, 971, 607, 14076, 320, 10548, 15011, 534, 20858, 10692, 2182, 585, 1514, 15024, 543, 3152, 3540, 23118, 1282, 713, 1974, 780, 4089, 476, 275, 281, 4804, 3245, 4033, 18831, 454, 2026, 3127, 6410, 6251, 547, 7115, 267, 922, 3401, 6743, 693, 824, 2477, 547, 1294, 875, 789, 17411, 2152, 1472, 1367, 22624, 543, 2924, 269, 27837, 676, 3486, 5322, 5009, 1480, 2924, 267, 9565, 12075, 5249, 547, 6451, 2147, 3741, 883, 3127, 781, 1378, 11156, 269, 1635, 1565, 689, 1866, 267, 789, 1223, 1628, 2390, 4540, 2035, 543, 1020, 1945, 19918, 14018, 585, 3127, 780, 4089, 476, 276, 281, 674, 18017, 585, 7827, 16511, 958, 454, 6624, 2797, 9620, 3576, 1747, 1369, 3127, 3294, 607, 15628, 18796, 1689, 269, 6468, 781, 27049, 267, 4074, 2924, 267, 543, 13373, 5109, 2150, 13224, 1464, 941, 1175, 513, 1906, 3123, 13084, 16845, 676, 12703, 2367, 543, 2021, 945, 4941, 513, 811, 12581, 2486, 269, 4256, 3646, 9788, 519, 24536, 585, 9301, 4909, 2924, 538, 2022, 23949, 11163, 3127, 780, 4089, 476, 277, 281, 10435, 18776, 2060, 6435, 3245, 6837, 454, 763, 4095, 2817, 6837, 5129, 513, 1713, 1909, 538, 5935, 5717, 827, 4909, 2924, 269, 4438, 1585, 11401, 267, 2818, 31751, 18747, 6322, 693, 17516, 3160, 2126, 543, 3255, 585, 3025, 269, 2290, 8037, 3561, 267, 1634, 607, 519, 3026, 327, 745, 7797, 630, 4572, 279, 1070, 3177, 2038, 4030, 883, 1018, 1522, 1831, 851, 540, 3127, 781, 2104, 13338, 5943, 780, 4089, 476, 278, 281, 11374, 538, 19413, 781, 14272, 25074, 454, 30538, 32257, 19413, 5156, 9244, 538, 30176, 1004, 781, 2924, 998, 32593, 550, 2409, 269, 1261, 9415, 1582, 3146, 18910, 267, 9322, 267, 543, 17519, 2962, 1851, 12075, 8165, 585, 7115, 269, 3571, 10752, 3136, 547, 8300, 1346, 2324, 2509, 2870, 513, 1175, 543, 8537, 2197, 2221, 780, 4089, 476, 279, 281, 623, 3058, 519, 10158, 585, 3776, 9139, 454, 6524, 3127, 6591, 922, 7115, 267, 1896, 26639, 5941, 543, 23503, 1018, 4909, 2924, 1058, 1413, 899, 538, 519, 1007, 4182, 269, 7324, 873, 267, 519, 717, 657, 342, 9564, 9730, 7797, 630, 3707, 278, 264, 1500, 3407, 7418, 547, 24152, 1761, 14074, 585, 10014, 538, 519, 3803, 4528, 540, 519, 4095, 9139, 780, 6962, 912, 3086, 602, 649, 1174, 1141, 4909, 2924, 3357, 689, 267, 1577, 781, 5660, 741, 4644, 538, 938, 3232, 2729, 269, 5457, 267, 891, 2924, 4866, 547, 1142, 835, 540, 721, 267, 7488, 540, 938, 2085, 267, 4008, 267, 610, 4978, 269, 8625, 267, 1577, 781, 11441, 547, 8190, 543, 3895, 873, 585, 5481, 547, 2097, 256, 0, 2080, 568, 606, 1349, 689, 513, 2546, 912, 257, 293, 1495, 4442, 7126, 281, 589, 13751, 3778, 454, 268, 4985, 281, 32274, 519, 12472, 540, 27284, 7126, 538, 3127, 454, 268, 9147, 4095, 13751, 7010, 281, 1323, 11137, 540, 519, 4886, 540, 7126, 543, 13786, 4850, 454, 268, 634, 8177, 540, 3703, 20616, 14329, 593, 519, 23779, 543, 10466, 540, 7126, 538, 3127, 454, 268, 634, 21478, 540, 4139, 5274, 7126, 28073, 543, 11096, 2684, 625, 593, 4095, 808, 9766, 1440, 28619, 454, 268, 7216, 4095, 11572, 26647, 1375, 956, 543, 28073, 5915, 21505, 27284, 7126, 454, 268, 634, 10020, 540, 4095, 2817, 6837, 538, 1744, 12686, 519, 5494, 6847, 593, 27284, 7126, 454, 268, 8575, 32257, 19413, 781, 14358, 593, 27284, 7126, 543, 741, 25684, 538, 4095, 13751, 3778, 454, 268, 3026, 327, 745, 7797, 630, 4572, 279, 264, 543, 519, 717, 657, 342, 9564, 9730, 7797, 630, 3707, 278, 2567, 19928, 1903, 547, 519, 12472, 540, 27284, 7126, 538, 3127, 454, 268, 634, 17564, 543, 13891, 919, 593, 27284, 7126, 538, 519, 28393, 1017, 25799, 1306, 5145, 15533, 454, 268, 17553, 519, 8609, 585, 519, 4790, 15856, 550, 13909, 13891, 919, 281, 634, 19461, 27557, 547, 8073, 513, 18043, 17563, 585, 27284, 7126, 1775, 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, 3460, 998, 519, 4241, 1158, 540, 2413, 2777, 1374, 256, 5620, 596, 2479, 16545, 1018, 707, 5326, 2777, 1131, 1413, 899, 286, 9320, 621, 781, 513, 18241, 19970, 31314, 538, 519, 18137, 267, 610, 5310, 621, 781, 513, 31933, 543, 13777, 22618, 2679, 609, 21743, 4496, 7252, 269, 4270, 267, 972, 616, 1004, 4171, 2816, 568, 547, 2490, 1346, 9909, 883, 4641, 1107, 789, 2811, 1572, 16413, 543, 9703, 9858, 256, 2913, 781, 2263, 875, 789, 1711, 6909, 8075, 1210, 1007, 2553, 543, 2326, 1247, 6236, 3885, 262, 2189, 2115, 543, 7375, 780, 5331, 6972, 883, 513, 4190, 267, 6216, 20642, 2777, 269, 898, 814, 5458, 9486, 602, 1577, 538, 6266, 540, 7943, 267, 1818, 1169, 4055, 1745, 3636, 543, 18136, 269, 634, 6821, 616, 13556, 25695, 4778, 267, 543, 6899, 11647, 568, 11231, 9985, 585, 7391, 610, 1225, 1782, 909, 609, 513, 1434, 1433, 269, 3767, 4605, 713, 1482, 2777, 693, 3781, 267, 28663, 1396, 609, 1648, 18026, 8279, 602, 666, 1689, 2681, 4470, 593, 707, 7099, 269, 15346, 267, 1318, 286, 1809, 7227, 267, 972, 781, 811, 2439, 6624, 2413, 8075, 849, 1445, 593, 1373, 13476, 7874, 269, 11629, 338, 798, 713, 676, 6220, 4264, 2326, 630, 3697, 3574, 689, 19100, 7307, 7733, 264, 543, 2029, 602, 2337, 4688, 5201, 543, 1216, 269, 2368, 1256, 2445, 24467, 585, 946, 3330, 519, 2777, 256, 1635, 3257, 782, 540, 713, 267, 891, 5863, 5321, 948, 2149, 938, 4541, 1247, 3246, 513, 31042, 2230, 585, 2713, 780, 3086, 267, 4952, 9683, 8075, 1472, 519, 1158, 267, 1142, 835, 1114, 1759, 593, 922, 4087, 543, 2528, 269, 1280, 3236, 267, 513, 11824, 12506, 3959, 1522, 4183, 1804, 23510, 9885, 3056, 856, 547, 606, 5836, 2070, 1273, 1470, 267, 3501, 585, 4832, 3046, 13069, 1132, 269, 11531, 267, 513, 7823, 18956, 1223, 30107, 6149, 3595, 17541, 543, 11308, 31126, 24188, 540, 513, 2845, 19970, 269, 1656, 7058, 1018, 286, 1411, 1810, 1405, 991, 547, 2951, 2484, 1317, 649, 786, 3142, 891, 3309, 6272, 2786, 547, 596, 2439, 9961, 713, 1770, 267, 649, 3513, 4685, 4514, 883, 1114, 3344, 540, 4207, 2777, 1374, 267, 971, 607, 6189, 267, 26955, 14585, 267, 30120, 267, 543, 6940, 269, 1284, 3513, 2743, 930, 16805, 4648, 945, 2671, 741, 3860, 3157, 543, 4943, 725, 3297, 8888, 2189, 5321, 269, 13966, 519, 1259, 267, 596, 3513, 1451, 827, 5969, 12967, 4066, 1031, 538, 14335, 1648, 18026, 17743, 902, 543, 3605, 2081, 596, 666, 4019, 891, 2035, 547, 2087, 707, 1378, 2713, 5624, 780, 3383, 10544, 707, 2182, 11058, 543, 1205, 4712, 547, 7832, 593, 606, 3078, 7045, 998, 519, 9159, 7706, 540, 2413, 10821, 1374, 256, 0, 2080, 568, 606, 1349, 689, 513, 2546, 912, 257, 8530, 1501, 11261, 281, 21776, 476, 1015, 628, 267, 476, 1708, 271, 454, 7049, 516, 281, 19425, 3538, 675, 1315, 5071, 267, 22960, 1315, 5851, 267, 29972, 454, 5522, 582, 540, 519, 19545, 454, 20524, 519, 1655, 540, 519, 1655, 538, 2777, 1374, 609, 713, 3102, 3391, 538, 519, 3810, 3811, 476, 5611, 7454, 3126, 267, 10023, 7366, 540, 11121, 2681, 543, 3109, 7146, 22554, 11147, 269, 5611, 1715, 7454, 540, 519, 7454, 5600, 14313, 568, 513, 10875, 3308, 21649, 602, 7710, 519, 5767, 538, 5499, 1753, 4070, 267, 23732, 267, 543, 1374, 269, 901, 14222, 4320, 20502, 606, 3573, 4015, 540, 2582, 1922, 13637, 8075, 689, 782, 936, 519, 1158, 267, 2813, 676, 13747, 3486, 16413, 543, 9858, 945, 723, 5249, 547, 3035, 4052, 543, 6198, 3435, 9862, 547, 519, 1808, 2115, 543, 1880, 16919, 540, 741, 7218, 9950, 778, 540, 519, 476, 5611, 8075, 1527, 6150, 6542, 519, 21777, 3466, 543, 1585, 7506, 593, 1753, 1374, 267, 689, 32119, 15178, 8075, 547, 8766, 626, 12166, 25481, 269, 4635, 6639, 8441, 538, 4070, 543, 1570, 946, 267, 891, 5321, 616, 1648, 3887, 1553, 773, 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, 6092, 5149, 281, 27986, 3776, 5113, 281, 4197, 8092, 7581, 2130, 543, 26085, 16572, 692, 8702, 267, 1762, 17701, 256, 4653, 267, 649, 2811, 2469, 547, 7832, 593, 606, 3078, 3460, 998, 5245, 781, 2189, 1604, 543, 1451, 827, 875, 4031, 948, 2149, 922, 9265, 269, 1284, 786, 2263, 3584, 899, 2244, 21757, 267, 1018, 621, 1797, 267, 1946, 621, 666, 581, 5739, 267, 543, 945, 4991, 547, 6430, 1018, 4523, 547, 938, 10475, 2067, 2200, 269, 1924, 10544, 707, 1760, 926, 22970, 543, 1577, 781, 4685, 883, 713, 4241, 1158, 2439, 5331, 596, 1378, 513, 4190, 4062, 540, 2244, 4904, 609, 18932, 3039, 4054, 267, 10477, 5810, 267, 543, 32620, 2831, 269, 901, 2244, 568, 2027, 1317, 3388, 2713, 972, 5673, 593, 835, 1776, 547, 7639, 1107, 1175, 899, 538, 513, 2462, 1920, 256, 12207, 1289, 713, 4276, 834, 321, 1675, 1751, 2437, 2495, 519, 3099, 540, 1272, 538, 513, 1880, 7226, 610, 5117, 269, 3767, 267, 4952, 2576, 6499, 547, 2759, 1524, 782, 1346, 4054, 267, 21006, 5321, 543, 1426, 2959, 585, 519, 2831, 267, 1818, 519, 1858, 1447, 7524, 543, 2407, 540, 1272, 269, 2334, 781, 1572, 2244, 21757, 267, 543, 621, 666, 2800, 938, 1604, 780, 27455, 21757, 814, 1831, 513, 3905, 1888, 538, 1715, 3162, 12986, 630, 10064, 310, 1070, 1141, 6705, 1616, 811, 5191, 547, 946, 741, 3338, 1510, 1082, 3652, 269, 1358, 8044, 602, 1932, 1454, 7939, 2306, 621, 2182, 585, 873, 547 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 3295, 6000, 609, 1489, 543, 19015, 269, 6787, 621, 581, 998, 519, 5583, 540, 513, 21927, 610, 519, 1489, 540, 2828, 543, 1920, 267, 2348, 513, 2178, 1489, 1062, 666, 1118, 782, 519, 3017, 538, 20408, 938, 12194, 269, 4256, 3661, 538, 721, 666, 2285, 721, 519, 6015, 543, 8404, 649, 991, 547, 7903, 998, 938, 4313, 10851, 563, 1103, 3932, 267, 8508, 4250, 568, 513, 2629, 1900, 538, 12423, 938, 3020, 1761, 269, 1635, 14344, 543, 4101, 938, 12194, 267, 2921, 1507, 3268, 2509, 6849, 873, 267, 9001, 14839, 267, 543, 5275, 1489, 267, 649, 666, 2981, 4250, 883, 513, 18463, 585, 2123, 2208, 269, 1924, 267, 519, 1985, 942, 596, 1265, 3054, 5185, 609, 4250, 267, 3314, 602, 621, 568, 606, 4316, 547, 1900, 883, 707, 3020, 1761, 563, 26524, 543, 4267, 912, 1432, 568, 519, 2495, 540, 519, 10839, 968, 1432, 952, 594, 2887, 286, 7937, 267, 855, 1250, 29593, 1782, 267, 1018, 952, 596, 8038, 18313, 763, 2495, 540, 519, 10839, 568, 547, 6521, 707, 5133, 543, 1445, 593, 519, 7872, 540, 1967, 267, 2864, 982, 23029, 593, 519, 4250, 540, 5821, 269, 898, 7512, 596, 547, 1491, 4220, 543, 9784, 2208, 267, 22348, 596, 602, 596, 2760, 917, 1018, 596, 616, 5827, 540, 8236, 8259, 596, 2119, 563, 1692, 666, 713, 10839, 948, 803, 7753, 1250, 4250, 540, 5821, 888, 1607, 10839, 666, 948, 596, 7753, 707, 4250, 540, 5821, 676, 22348, 596, 602, 5821, 568, 711, 519, 1439, 267, 855, 1175, 513, 851, 540, 519, 3460, 2509, 1967, 269, 898, 7512, 596, 547, 9784, 519, 7872, 540, 1967, 543, 1491, 4220, 267, 6616, 602, 1256, 952, 596, 2887, 267, 596, 723, 519, 1761, 547, 865, 541, 563, 4692, 713, 10839, 581, 4294, 538, 1114, 2127, 540, 1272, 888, 8133, 267, 713, 10839, 666, 581, 4294, 538, 1585, 2127, 540, 1272, 269, 6787, 596, 616, 6849, 513, 4876, 1689, 267, 4358, 513, 1007, 1870, 267, 13197, 513, 2123, 3804, 267, 610, 1256, 10024, 513, 1007, 2078, 267, 519, 10839, 7512, 596, 547, 7903, 2250, 707, 4250, 540, 5821, 543, 9784, 519, 2208, 543, 3255, 602, 2097, 609, 2921, 4220, 563, 1692, 666, 594, 946, 713, 10839, 607, 8404, 538, 1250, 4948, 1272, 888, 2791, 666, 946, 713, 10839, 607, 8404, 538, 707, 4948, 1272, 676, 22348, 3054, 540, 621, 8164, 596, 1745, 11688, 26938, 610, 31604, 540, 2921, 513, 20014, 269, 898, 666, 4196, 607, 513, 3532, 16051, 571, 547, 7903, 3054, 4464, 543, 9784, 2208, 269, 19244, 621, 547, 3054, 607, 513, 12576, 602, 519, 4250, 540, 9991, 1058, 711, 3180, 596, 1394, 689, 10825, 707, 12209, 543, 8236, 707, 2407, 1761, 563, 6701, 972, 1022, 1483, 3734, 1967, 2984, 602, 9305, 547, 713, 10839, 888, 8133, 267, 972, 616, 1082, 1483, 3734, 1967, 2984, 602, 9305, 547, 713, 10839, 269, 3245, 11639, 945, 8959, 2789, 2053, 1354, 8236, 1390, 1967, 267, 547, 9845, 945, 829, 572, 30099, 998, 22303, 543, 6913, 30493, 267, 972, 616, 9118, 1806, 540, 2043, 945, 17947, 519, 7872, 540, 10760, 5103, 519, 4250, 540, 9991, 269, 4256, 2984, 4196, 607, 513, 12576, 602, 5821, 568, 711, 606, 16315, 540, 938, 4502, 610, 1761, 267, 855, 2864, 513, 19480, 6149, 2509, 1967, 269, 0, 10387, 841, 20958, 1325, 1068, 338, 454, 11767, 707, 4757, 2232, 543, 1376, 8391, 3260, 687, 267, 1007, 2472, 267, 543, 6455, 2047, 538, 707, 28600, 2336, 1432, 568, 12192, 645, 272, 888, 24791, 645, 272, 610, 774, 328, 3133, 267, 568, 606, 1898, 1216, 30320, 645, 6171, 543, 8770, 269, 898, 3112, 581, 24704, 676, 519, 1560, 267, 1317, 540, 713, 621, 2115, 547, 581, 5833, 689, 2732, 610, 21455, 269, 898, 6087, 519, 1560, 547, 946, 11950, 607, 1648, 267, 799, 568, 1898, 585, 7280, 10307, 267, 543, 621, 4249, 513, 1883, 1909, 538, 8229, 267, 4887, 267, 543, 2295, 1599, 563, 1692, 547, 1205, 12192, 645, 272, 912, 1320, 3554, 710, 2337, 538, 519, 2504, 540, 519, 32239, 1035, 25485, 3273, 710, 267, 799, 568, 1031, 547, 20794, 6835, 1063, 519, 13285, 543, 6091, 543, 547, 2327, 1697, 13487, 1599, 269, 898, 568, 849, 3238, 538, 519, 2095, 540, 32690, 883, 543, 856, 540, 4887, 543, 8229, 2281, 269, 634, 3105, 6811, 616, 9516, 676, 519, 3864, 5253, 8881, 16958, 630, 9128, 6347, 1040, 645, 23554, 7530, 616, 1216, 30320, 865, 789, 616, 7683, 17515, 676, 519, 1560, 543, 991, 7928, 25579, 7321, 269, 18641, 267, 2295, 9360, 267, 899, 23554, 645, 272, 267, 616, 2139, 538, 1082, 3029, 971, 607, 10733, 332, 625, 267, 14342, 267, 838, 7590, 267, 12772, 267, 24409, 267, 21447, 267, 29893, 267, 8869, 267, 15559, 267, 543, 811, 267, 543, 1419, 3769, 538, 536, 10687, 14658, 610, 1617, 643, 527, 7530, 543, 6886, 1950, 563, 10666, 9710, 9346, 778, 12192, 645, 272, 912, 295, 528, 9346, 778, 645, 272, 2653, 3562, 1606, 342, 9994, 14342, 666, 948, 1832, 596, 547, 5529, 909, 609, 513, 476, 275, 18881, 3761, 256, 0, 763, 1686, 540, 3127, 543, 16444, 20092, 779, 524, 4459, 7566, 31195, 21018, 3564, 6071, 7194, 543, 6060, 11568, 269, 898, 779, 513, 2239, 18955, 609, 2797, 896, 9690, 338, 267, 13730, 10178, 321, 1162, 267, 543, 8090, 602, 10489, 2105, 519, 6302, 540, 519, 7328, 269, 3245, 840, 23949, 11163, 13341, 1282, 3703, 4341, 547, 17970, 1532, 1746, 570, 736, 804, 10449, 538, 519, 3059, 2085, 267, 3127, 543, 16444, 20092, 723, 3838, 513, 524, 4459, 7566, 25071, 1141, 17691, 941, 585, 3022, 543, 8823, 31960, 538, 4154, 563, 15900, 7402, 12420, 281, 661, 577, 3996, 540, 20616, 1143, 543, 519, 17510, 540, 513, 681, 2526, 787, 454, 763, 9998, 6592, 25319, 6474, 1063, 3127, 543, 16444, 20092, 7389, 1394, 547, 476, 6642, 276, 267, 1282, 519, 5736, 540, 3703, 14076, 269, 1452, 840, 23949, 11163, 804, 10449, 941, 811, 982, 1175, 23242, 2621, 282, 789, 941, 11029, 7215, 540, 1219, 4800, 1996, 7810, 4341, 269, 1306, 1312, 6082, 6591, 7115, 267, 519, 8013, 6891, 8057, 267, 23185, 676, 3084, 11348, 543, 513, 1032, 940, 547, 3715, 741, 524, 4459, 7566, 9163, 563, 314, 15862, 18995, 513, 3109, 543, 3043, 8666, 540, 606, 2038, 3127, 5288, 16444, 20092, 25319, 6474, 267, 609, 5716, 538, 2757, 30933, 8204, 519, 5736, 2639, 763, 476, 3192, 280, 2622, 19067, 281, 589, 5695, 940, 8672, 543, 519, 9622, 10885, 540, 29518, 559, 8061, 454, 763, 476, 3192, 280, 2622, 19067, 14754, 513, 7432, 1448, 538, 519, 3127, 4149, 686, 20092, 31195, 269, 674, 5217, 1142, 824, 538, 519, 1895, 3942, 267, 29518, 559, 8061, 779, 10875, 6952, 547, 14962, 1488, 329, 10044, 28234, 520, 2426, 320, 2968, 513, 10747, 4090, 269, 3127, 779, 22638, 2622, 19067, 11802, 593, 2296, 3037, 2366, 513, 678, 21451, 540, 4126, 2066, 519, 524, 4459, 7566, 5251, 267, 11121, 2104, 5481, 540, 4095, 5716, 543, 4396, 4328, 519, 31195, 779, 8515, 563, 763, 476, 1960, 277, 2622, 19067, 281, 590, 778, 514, 779, 744, 985, 331, 4381, 543, 1306, 604, 779, 15552, 923, 454, 763, 476, 1960, 277, 2622, 19067, 32692, 538, 10854, 531, 648, 568, 31960, 538, 519, 8823, 540, 1312, 4095, 543, 16444, 700, 1678, 534, 11655, 269, 590, 778, 514, 570, 754, 592, 22894, 779, 1025, 3563, 532, 476, 16328, 267, 561, 3166, 609, 3532, 18116, 543, 2912, 20160, 3670, 525, 267, 12219, 547, 2582, 26370, 569, 24905, 548, 16444, 20092, 779, 6367, 1782, 4323, 269, 1717, 267, 589, 9545, 25475, 632, 8125, 9366, 779, 4831, 31281, 871, 543, 5842, 987, 20289, 553, 19441, 5984, 779, 3357, 334, 4412, 8215, 16444, 20092, 2509, 11802, 267, 15386, 519, 2319, 779, 6043, 543, 2702, 547, 1685, 896, 2604, 563, 763, 22547, 540, 631, 1116, 603, 15546, 543, 918, 18443, 281, 1975, 514, 654, 23275, 543, 29980, 645, 25114, 454, 763, 3735, 476, 1960, 271, 338, 543, 2038, 476, 1220, 271, 338, 14754, 519, 30811, 546, 3241, 1063, 631, 18636, 11672, 631, 1116, 603, 15546, 267, 519, 1158, 779, 3056, 530, 1157, 564, 2389, 6033, 267, 543, 1323, 559, 918, 18443, 267, 3127, 779, 8095, 6367, 1782, 10828, 269, 4256, 30811, 5838, 625, 267, 15931, 7648, 267, 543, 9159, 12959, 2066, 12043, 3773, 513, 1007, 10155, 547, 519, 31195, 267, 10223, 519, 1909, 540, 1367, 11958, 4800, 538, 5935, 6474, 4093, 563, 307, 736, 28202, 1571, 281, 589, 1715, 3848, 538, 519, 681, 2526, 787, 454, 763, 4417, 540, 570, 736, 25319, 22280, 513, 1007, 9570, 540, 10761, 883, 519, 3127, 4149, 686, 20092, 31195, 269, 1744, 7163, 12043, 3177, 513, 3760, 585, 23292, 10627, 1154, 267, 2912, 20160, 12485, 267, 543, 17970, 1532, 1746, 26088, 269, 5164, 520, 918, 2129, 2993, 779, 11350, 580, 5166, 5553, 267, 20098, 603, 631, 2718, 320, 779, 2669, 27492, 26294, 619, 267, 543, 30323, 527, 1744, 12609, 779, 17715, 8482, 2452, 616, 1175, 513, 1906, 1806, 540, 519, 1367, 8090, 602, 723, 2699, 18249, 519, 31195, 538, 519, 570, 736, 5736, 563, 19741, 595, 19897, 281, 32655, 9177, 543, 23688, 783, 21727, 454, 8601, 519, 18979, 6735, 593, 519, 2361, 267, 3127, 543, 16444, 20092, 2671, 513, 2620, 2686, 543, 3140, 6125, 269, 634, 10923, 16133, 267, 10409, 10486, 267, 543, 3838, 14418, 6561, 6536, 513, 2631, 540, 8994, 2463, 543, 25621, 1063, 519, 1079, 6082, 269, 901, 1055, 1922, 1752, 1620, 8591, 1776, 4494, 547, 519, 524, 4459, 7566, 31195, 267, 1419, 3056, 547, 3636, 15377, 543, 2022, 2173, 2255, 23274, 563, 763, 3127, 4149, 686, 20092, 524, 4459, 7566, 31195, 25186, 6071, 2338, 543, 7194, 269, 898, 779, 513, 7524, 13795, 18955, 609, 6612, 267, 12416, 267, 543, 20605, 8090, 602, 723, 26970, 5481, 540, 11655, 269, 3245, 519, 7810, 30172, 540, 2038, 13341, 547, 519, 570, 736, 32030, 540, 519, 2413, 5736, 267, 713, 31195, 814, 14593, 1312, 6082, 547, 14133, 267, 6721, 524, 4459, 7566, 17691, 543, 20605, 13341, 602, 786, 11014, 581, 19644, 563, 2026, 519, 1079, 6887, 3136, 547, 9376, 28712, 593, 519, 25319, 2361, 267, 519, 2104, 540, 713, 31195, 14767, 1256, 811, 6678, 337, 16226, 11271, 269, 634, 11944, 540, 1762, 15421, 267, 519, 4720, 540, 4730, 12043, 267, 543, 519, 2479, 21212, 10178, 19668, 2327, 602, 3127, 5288, 16444, 20092, 786, 2611, 513, 4715, 12386, 602, 8952, 25319, 11655, 693, 519, 6316, 540, 741, 16295, 563, 268, 5808, 6585, 519, 2949, 2212, 3562, 268, 3650, 2594, 888, 19328, 4867, 6585, 519, 5580, 1688, 538, 519, 2949, 2212, 3562, 268, 3650, 2594, 267, 609, 476, 10037, 17993, 547, 16444, 20092, 779, 476, 7367, 2066, 782, 12043, 269, 1717, 267, 519, 14345, 538, 570, 736, 25319, 568, 1454, 6251, 267, 609, 3127, 1152, 5768, 3373, 6619, 609, 476, 866, 17993, 547, 16444, 20092, 779, 476, 1704, 563, 268, 6904, 616, 930, 540, 519, 1034, 11599, 8090, 538, 519, 31195, 888, 268, 29518, 559, 8061, 779, 6952, 547, 14962, 28234, 520, 2426, 320, 538, 519, 476, 3192, 280, 2622, 19067, 563, 268, 590, 778, 514, 570, 754, 592, 22894, 779, 1025, 3563, 532, 476, 16328, 538, 519, 476, 1960, 277, 2622, 19067, 563, 268, 1323, 559, 918, 18443, 779, 476, 1015, 2914, 1157, 564, 688, 592, 1996, 16444, 20092, 538, 476, 1960, 280, 563, 268, 8575, 3559, 320, 20289, 1177, 731, 2940, 779, 6474, 20421, 7961, 902, 538, 519, 476, 1001, 272, 2622, 19067, 3803, 563, 268, 30323, 527, 1744, 12609, 779, 2594, 31771, 476, 25784, 1996, 16444, 20092, 538, 476, 1001, 275, 563, 268, 1215, 814, 519, 31195, 7960, 936, 519, 1296, 888, 763, 31195, 814, 1831, 811, 7920, 543, 8013, 936, 519, 1296, 267, 609, 1312, 6887, 1630, 8463, 1158, 11665, 5716, 543, 4810, 3061, 1622, 269, 634, 4417, 540, 570, 736, 25319, 814, 3773, 513, 1007, 10155, 547, 519, 31195, 267, 609, 10156, 12043, 7957, 1681, 10728, 10627, 1154, 543, 20437, 4093, 563, 268, 1684, 11655, 540, 1312, 6082, 2671, 513, 1434, 29037, 888, 8601, 519, 593, 1922, 1752, 31195, 267, 11655, 540, 1312, 3127, 543, 16444, 20092, 2671, 513, 1390, 4308, 540, 2463, 543, 23274, 269, 634, 2686, 543, 10923, 16133, 11942, 513, 2631, 540, 1620, 543, 7071, 585, 1142, 824, 779, 524, 4459, 7566, 23258, 563, 268, 1548, 1281, 519, 2104, 3180, 585, 519, 3127, 4149, 686, 20092, 31195, 888, 763, 2104, 540, 519, 3127, 4149, 686, 20092, 31195, 568, 6505, 267, 609, 1312, 6887, 1630, 8463, 1762, 13007, 543, 513, 7524, 6469, 25319, 2497, 269, 634, 4797, 4720, 540, 4730, 12043, 543, 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 ]
[ 2568, 4113, 2330, 883, 32494, 780, 11405, 692, 3721, 476, 272, 281, 31962, 519, 6935, 281, 3230, 272, 4113, 815, 1422, 2765, 3189, 7032, 2410, 5197, 6525, 32494, 780, 3721, 476, 273, 281, 25092, 519, 5232, 676, 519, 6935, 281, 3230, 2568, 4113, 1422, 9392, 1422, 2765, 3189, 7032, 2410, 5197, 348, 815, 1422, 2765, 3189, 7032, 2410, 274, 6525, 32494, 780, 17798, 267, 3230, 2568, 4113, 2330, 568, 6695, 2765, 3189, 7032, 2410, 274, 6525, 32494, 780, 273, 269, 22417, 6695, 2765, 3189, 7032, 2410, 275, 6525, 32494, 883, 5232, 780, 11405, 692, 3721, 476, 272, 281, 5457, 519, 11201, 6935, 281, 3230, 272, 2330, 2234, 1014, 3230, 284, 1422, 2765, 346, 5197, 7346, 7032, 348, 4113, 29634, 3721, 476, 273, 281, 25092, 519, 32494, 676, 713, 6935, 281, 6695, 2765, 3189, 7032, 2410, 275, 348, 1422, 9392, 1422, 2765, 346, 5197, 7346, 7032, 348, 815, 476, 3393, 4113, 29634, 13295, 267, 6695, 2765, 3189, 7032, 2410, 275, 6525, 32494, 568, 6697, 547, 3230, 3393, 4113, 29634, 274, 269, 22417, 3230, 5611, 4113, 2330, 883, 32494, 780, 11405, 692, 3721, 476, 272, 281, 22982, 519, 6935, 281, 3230, 272, 4113, 815, 1422, 2765, 3189, 7032, 2410, 5197, 6525, 32494, 780, 3721, 476, 273, 281, 25092, 519, 5232, 676, 519, 6935, 281, 3230, 5611, 4113, 1422, 9392, 1422, 2765, 3189, 7032, 2410, 5197, 348, 815, 1422, 2765, 346, 276, 19570, 2410, 277, 6525, 32494, 780, 3383, 267, 3230, 5611, 4113, 2330, 18922, 547, 6695, 2765, 346, 276, 19570, 2410, 277, 6525, 32494, 780, 275, 269, 22417, 6695, 2765, 346, 273, 19570, 2410, 274, 6525, 32494, 883, 5232, 780, 11405, 692, 3721, 476, 272, 281, 6333, 519, 11201, 6935, 281, 3230, 272, 2330, 2234, 1014, 3230, 284, 1422, 2765, 346, 5197, 7346, 7032, 348, 4113, 29634, 3721, 476, 273, 281, 25092, 519, 32494, 676, 713, 1871, 281, 6695, 2765, 346, 273, 19570, 2410, 274, 348, 1422, 9392, 1422, 2765, 346, 5197, 7346, 7032, 348, 815, 476, 6344, 4113, 29634, 11997, 267, 6695, 2765, 346, 273, 19570, 2410, 274, 6525, 32494, 568, 3160, 547, 3230, 6344, 4113, 29634, 276, 269, 22417, 3230, 18597, 4113, 2330, 883, 32494, 780, 11405, 692, 3721, 476, 272, 281, 5457, 281, 3230, 272, 4113, 815, 1422, 2765, 3189, 7032, 2410, 5197, 6525, 32494, 780, 3721, 476, 273, 281, 25092, 281, 3230, 18597, 4113, 1422, 9392, 1422, 2765, 3189, 7032, 2410, 5197, 348, 815, 1422, 2765, 346, 276, 19570, 2410, 275, 6525, 32494, 780, 3519, 8019, 267, 3230, 18597, 4113, 2330, 568, 6695, 2765, 346, 276, 19570, 2410, 275, 6525, 32494, 780, 9802, 707, 29293, 540, 891, 5751, 3142, 8521, 4514, 4030, 883, 519, 6946, 29478, 540, 5232, 543, 32494, 269, 0, 974, 2286, 4199, 692, 258, 1234, 601, 898, 538, 681, 15929, 2060, 31353, 1107, 20308, 17130, 21998, 692, 1892, 21213, 281, 1109, 476, 1556, 9484, 476, 1708, 274, 692, 10817, 728, 707, 1053, 547, 10994, 2055, 1141, 789, 1590, 5180, 17447, 547, 519, 14282, 2898, 1297, 267, 20870, 543, 4627, 628, 609, 713, 1305, 540, 476, 2190, 7317, 4305, 6486, 780, 1892, 9664, 281, 1109, 476, 272, 8525, 692, 1892, 13012, 281, 1109, 476, 276, 910, 476, 278, 692, 30357, 1948, 5938, 778, 1805, 6621, 593, 17749, 585, 513, 4960, 547, 581, 12286, 2439, 974, 2286, 4199, 692, 258, 1234, 601, 898, 538, 681, 15929, 2060, 31353, 1107, 20308, 17130, 21998, 692, 1892, 21213, 281, 1109, 476, 1556, 9484, 476, 1708, 274, 692, 10817, 728, 707, 1053, 547, 10994, 2055, 1141, 789, 1590, 5180, 17447, 547, 519, 14282, 2898, 1297, 267, 20870, 543, 4627, 628, 609, 713, 1305, 540, 476, 2190, 7317, 4305, 6486, 780, 1892, 9664, 281, 1109, 476, 272, 8525, 692, 1892, 13012, 281, 1109, 476, 276, 910, 476, 278, 692, 10817, 728, 707, 1053, 547, 10994, 2055, 1141, 789, 1590, 5180, 17447, 547, 519, 14282, 2898, 1297, 267, 20870, 543, 4627, 628, 609, 713, 1305, 540, 476, 2190, 7317, 4305, 6486, 780, 1012, 9752, 2659, 4841, 1215, 547, 18471, 2060, 31353, 2496, 7312, 1053, 4440, 723, 513, 1434, 1620, 540, 875, 547, 5180, 2898, 2338, 676, 519, 942, 789, 4283, 1032, 476, 276, 269, 1677, 2333, 519, 7411, 513, 3787, 267, 789, 1631, 949, 581, 4397, 547, 5180, 547, 1747, 2418, 547, 519, 1318, 540, 519, 8918, 1448, 269, 2913, 779, 1491, 513, 1413, 693, 930, 2656, 4388, 543, 606, 1383, 547, 2671, 609, 707, 1053, 2439, 8340, 519, 27252, 9255, 1107, 1879, 24263, 513, 1297, 267, 12398, 519, 8918, 1448, 543, 2697, 519, 1747, 596, 1616, 547, 5180, 547, 269, 6333, 896, 23164, 713, 1747, 547, 948, 596, 780, 16100, 693, 519, 7089, 547, 519, 9406, 1107, 6744, 519, 1297, 547, 519, 1318, 540, 519, 1747, 547, 799, 596, 616, 24263, 269, 1403, 596, 616, 24263, 476, 274, 269, 5379, 547, 519, 14282, 20870, 338, 1747, 267, 1413, 693, 519, 476, 276, 547, 3313, 1018, 596, 1058, 798, 609, 519, 1297, 538, 519, 20870, 338, 1747, 630, 275, 6393, 13356, 728, 1215, 547, 18471, 1107, 1403, 519, 7857, 547, 519, 1318, 568, 476, 276, 610, 3152, 267, 5180, 909, 282, 952, 621, 779, 476, 275, 610, 1447, 267, 5180, 1524, 780, 305, 895, 519, 7089, 1107, 3767, 267, 5180, 707, 3312, 1297, 269, 769, 476, 274, 269, 5379, 267, 2094, 476, 277, 568, 811, 982, 476, 276, 267, 596, 5180, 909, 519, 20870, 338, 1747, 7857, 547, 476, 274, 269, 276, 780, 1012, 18471, 31353, 547, 519, 3026, 11732, 570, 5460, 267, 25569, 628, 543, 19940, 7089, 2439, 1607, 1582, 19295, 9535, 7317, 2534, 568, 513, 1590, 3620, 1511, 585, 707, 13004, 4928, 256, 3502, 1152, 786, 621, 4497, 707, 1053, 609, 1114, 2010, 540, 8918, 24263, 2055, 267, 855, 621, 849, 786, 2285, 707, 1053, 13128, 5955, 593, 2436, 789, 3893, 513, 2243, 2953, 610, 711, 780, 5629, 6679, 519, 13472, 16064, 538, 6881, 7154, 267, 1053, 786, 581, 14376, 547, 2626, 513, 3126, 540, 476, 2190, 2055, 269, 7756, 2010, 540, 2055, 1053, 786, 7237, 1331, 1384, 1892, 9208, 24263, 2055, 454, 1892, 4635, 513, 1297, 1899, 547, 5180, 513, 8918, 454, 1892, 681, 15929, 2724, 454, 1892, 6478, 2042, 692, 1012, 1215, 547, 5192, 2659, 20308, 681, 15929, 10794, 692, 6701, 596, 4712, 585, 707, 1053, 547, 2048, 516, 601, 685, 538, 519, 1318, 4267, 286, 10361, 593, 936, 547, 519, 3039, 4647, 7735, 547, 1569, 519, 7317, 5616, 6215, 1938, 4528, 540, 713, 4199, 269, 7490, 4063, 602, 596, 786, 1101, 581, 19430, 547, 1118, 513, 5299, 540, 519, 2200, 1354, 17034, 621, 780, 2414, 2347, 713, 2534, 267, 1118, 2386, 547, 946, 519, 3014, 538, 6881, 7154, 269, 634, 2953, 543, 11234, 4267, 616, 5532, 547, 519, 7222, 15942, 267, 543, 519, 2055, 786, 3356, 4464, 607, 1053, 2824, 1142, 2953, 2626, 780, 1607, 4199, 729, 2813, 676, 2826, 339, 1415, 918, 749, 17344, 267, 513, 17546, 853, 6621, 11622, 1807, 780, 2252, 596, 616, 3168, 585, 3606, 24263, 2200, 547, 1039, 547, 707, 3450, 32367, 267, 2638, 856, 930, 540, 938, 6700, 2238, 2630, 2439, 2162, 3450, 4199, 692, 2971, 681, 15929, 31353, 8018, 692, 21886, 5971, 707, 1053, 547, 5180, 17447, 547, 519, 14282, 20870, 338, 543, 4627, 2195, 1747, 609, 713, 4976, 780, 275, 3817, 312, 8986, 281, 476, 276, 910, 476, 278, 692, 2162, 3450, 4199, 692, 2971, 27252, 5071, 338, 1107, 7756, 7007, 27252, 681, 15929, 8018, 692, 10817, 728, 707, 1053, 547, 5180, 17447, 547, 1114, 4025, 543, 1711, 513, 4190, 1374, 609, 713, 21630, 4976, 780, 1321, 3817, 312, 8986, 281, 476, 276, 910, 476, 278, 692, 2162, 3450, 4199, 692, 2971, 681, 15929, 31353, 2060, 10439, 17738, 1107, 17130, 21998, 692, 8196, 891, 4305, 6486, 547, 5180, 17447, 547, 519, 14282, 20870, 610, 4627, 628, 543, 6474, 1142, 1871, 609, 513, 7222, 8918, 2203, 780, 1428, 3817, 312, 8986, 281, 476, 276, 910, 476, 278, 0, 2252, 596, 2811, 7487, 713, 5048, 267, 621, 1797, 649, 2811, 2348, 8373, 15205, 5007, 2200, 593, 938, 3896, 780, 2252, 596, 2811, 3297, 513, 1357, 6882, 267, 5225, 1118, 2386, 602, 519, 11890, 2608, 269, 330, 770, 1738, 3820, 543, 2608, 269, 330, 553, 663, 7901, 3820, 616, 796, 4565, 18088, 780, 2162, 6092, 281, 853, 1645, 1543, 1272, 29539, 285, 16215, 476, 1691, 692, 8893, 476, 1839, 281, 31353, 3152, 982, 835, 692, 258, 27252, 1747, 1871, 609, 1036, 29470, 692, 21946, 11828, 8918, 2338, 602, 616, 3152, 982, 476, 272, 780, 1012, 21763, 547, 6443, 519, 6643, 2496, 1892, 1577, 781, 2161, 1775, 723, 8096, 272, 269, 876, 543, 476, 277, 546, 1307, 476, 4097, 30779, 625, 543, 476, 272, 10116, 875, 1454, 2724, 798, 1775, 723, 286, 2328, 707, 20735, 518, 607, 513, 6824, 543, 513, 8918, 2328, 519, 2698, 1310, 707, 2944, 454, 1892, 1411, 723, 513, 1360, 7255, 6666, 1512, 282, 594, 1131, 13842, 547, 1293, 856, 476, 4097, 30779, 625, 585, 1022, 2601, 269, 2659, 1689, 568, 8096, 273, 269, 866, 270, 272, 267, 27205, 269, 5620, 513, 8799, 1554, 563, 1892, 1215, 798, 596, 917, 950, 621, 568, 2789, 5079, 2483, 1892, 13038, 3903, 2055, 723, 10945, 1247, 1152, 3903, 2055, 723, 10580, 585, 5542, 780, 28775, 713, 267, 2337, 563, 263, 272, 8917, 994, 1892, 6004, 269, 16679, 875, 1281, 519, 476, 1556, 4627, 2195, 543, 476, 1556, 20870, 338, 979, 609, 519, 476, 272, 269, 272, 20870, 338, 286, 270, 286, 270, 888, 1892, 1215, 1131, 649, 798, 713, 888, 263, 272, 8917, 994, 1892, 865, 621, 1131, 581, 476, 273, 269, 6187, 454, 1892, 1403, 596, 616, 13288, 547, 538, 519, 3381, 950, 646, 6238, 6158, 827, 26840, 476, 272, 910, 9811, 267, 596, 616, 11613, 2953, 602, 476, 273, 269, 6187, 568, 519, 8918, 6041, 540, 476, 273, 3283, 543, 476, 277, 4627, 2195, 2439, 763, 1966, 15054, 538, 519, 3381, 568, 912, 1730, 1692, 666, 476, 273, 269, 2568, 676, 2854, 538, 1913, 286, 1730, 692, 29682, 476, 272, 568, 519, 6697, 540, 476, 273, 9489, 1341, 476, 277, 30779, 625, 912, 1730, 273, 3283, 543, 476, 277, 4627, 2195, 815, 476, 273, 263, 272, 264, 1341, 476, 277, 263, 382, 373, 270, 8975, 479, 8975, 478, 8975, 478, 264, 815, 476, 273, 269, 6187, 2340, 507, 490, 1730, 692, 29682, 476, 273, 568, 519, 6697, 540, 476, 18605, 30779, 625, 912, 1730, 18605, 4627, 2195, 815, 476, 18605, 263, 382, 373, 270, 8975, 479, 8975, 478, 8975, 478, 264, 815, 476, 273, 269, 2568, 32273, 483, 1730, 692, 29682, 476, 274, 568, 519, 6697, 540, 476, 18605, 546, 1307, 912, 1730, 29682, 476, 274, 281, 476, 18605, 20870, 338, 815, 476, 18605, 263, 382, 373, 270, 8975, 479, 8975, 478, 264, 815, 476, 2918, 2340, 507, 490, 1730, 0, 258, 4208, 3085, 1405, 15497, 1436, 2154, 2921, 513, 3970, 2496, 2691, 649, 22945, 12808, 18304, 267, 649, 798, 865, 676, 2921, 519, 3970, 607, 3230, 328, 2330, 4422, 547, 20581, 269, 1280, 1383, 267, 649, 1413, 693, 6695, 3916, 3709, 333, 9368, 5535, 1422, 13727, 4153, 8999, 3709, 333, 22174, 1422, 13992, 346, 301, 3686, 333, 18079, 543, 1287, 649, 2161, 602, 713, 11651, 2471, 543, 1281, 711, 723, 513, 2040, 780, 2691, 649, 798, 15497, 1436, 267, 649, 621, 4733, 936, 606, 12808, 1592, 1247, 4994, 532, 1142, 1592, 6221, 676, 513, 2067, 1297, 267, 543, 1287, 2911, 827, 519, 1267, 269, 4208, 666, 649, 798, 713, 3079, 540, 2348, 547, 1045, 5803, 7182, 2496, 1103, 519, 1482, 1259, 267, 1131, 621, 581, 5386, 547, 3651, 513, 1871, 547, 6695, 8999, 3709, 333, 22174, 1422, 13992, 346, 301, 3686, 333, 2330, 609, 519, 1871, 1373, 606, 12808, 5311, 2496, 1892, 634, 2243, 568, 827, 10747, 519, 5311, 593, 519, 15497, 269, 1403, 649, 2161, 519, 2040, 540, 519, 2067, 2338, 3085, 1405, 2291, 267, 1946, 666, 649, 2161, 519, 1297, 593, 519, 15497, 6818, 286, 594, 1131, 7058, 621, 781, 1317, 649, 4312, 11737, 337, 3320, 7522, 539, 519, 4214, 540, 513, 14805, 566, 865, 602, 649, 2141, 3132, 513, 1297, 286, 14348, 519, 14805, 566, 540, 519, 2067, 2338, 12261, 547, 3156, 540, 2098, 15598, 24936, 1682, 581, 1134, 3989, 286, 476, 9340, 2483, 1700, 1109, 300, 309, 12839, 454, 13971, 476, 2537, 1412, 736, 693, 476, 275, 281, 1015, 692, 5278, 15497, 1436, 7440, 1522, 2154, 7182, 547, 581, 2111, 547, 17970, 1524, 782, 519, 3877, 630, 324, 3052, 269, 952, 789, 4125, 606 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1341, 476, 273, 1341, 476, 277, 1341, 476, 277, 1341, 476, 279, 1341, 476, 280, 1341, 476, 276, 1341, 476, 274, 815, 476, 6795, 692, 17635, 264, 1548, 568, 519, 3017, 1063, 519, 1297, 540, 6690, 4535, 538, 519, 3275, 540, 5239, 543, 4873, 2496, 11795, 2397, 1063, 519, 1297, 540, 6690, 4535, 538, 519, 3275, 540, 5239, 543, 4873, 815, 476, 280, 1107, 476, 273, 815, 476, 278, 692, 273, 269, 7756, 2338, 540, 2371, 941, 12630, 676, 519, 1053, 540, 513, 1153, 593, 3670, 2395, 540, 513, 3018, 269, 901, 568, 3254, 538, 519, 1739, 3182, 1748, 780, 9890, 476, 272, 2030, 4564, 476, 1015, 2371, 692, 12585, 519, 1739, 2055, 593, 519, 4493, 540, 519, 2016, 3182, 1748, 1109, 263, 821, 4605, 4564, 476, 1015, 2371, 17107, 9217, 264, 1215, 1082, 2371, 941, 12630, 1142, 1554, 2496, 31388, 281, 476, 274, 6398, 476, 1015, 815, 476, 1789, 692, 307, 11698, 281, 476, 278, 6398, 476, 1015, 815, 476, 3583, 692, 26607, 11888, 281, 476, 277, 6398, 476, 1015, 815, 476, 2568, 692, 32637, 281, 476, 279, 6398, 476, 1015, 815, 476, 3199, 692, 293, 27518, 281, 476, 275, 6398, 476, 1015, 815, 476, 2412, 692, 306, 12944, 281, 476, 273, 6398, 476, 1015, 815, 476, 736, 692, 23870, 264, 4855, 519, 2698, 1297, 540, 2371, 12630, 1282, 519, 3018, 780, 1789, 1341, 476, 3583, 1341, 476, 2568, 1341, 476, 3199, 1341, 476, 2412, 1341, 476, 736, 815, 476, 4968, 692, 31702, 264, 2201, 799, 1554, 941, 519, 5021, 2338, 540, 2371, 12630, 2496, 32637, 281, 476, 279, 6398, 476, 1015, 815, 476, 3199, 2371, 692, 263, 643, 264, 2201, 799, 1554, 941, 519, 5934, 2338, 540, 2371, 12630, 2496, 306, 12944, 281, 476, 273, 6398, 476, 1015, 815, 476, 736, 692, 17635, 264, 1548, 568, 519, 3017, 1063, 519, 5021, 543, 5934, 2338, 540, 2371, 12630, 593, 519, 1079, 2395, 2496, 16655, 3065, 2338, 815, 476, 3199, 692, 14737, 3065, 2338, 815, 476, 736, 692, 11795, 2397, 1063, 519, 5021, 543, 5934, 2338, 540, 2371, 12630, 593, 519, 1079, 2395, 815, 476, 3199, 1107, 476, 736, 815, 476, 2568, 692, 263, 12858, 264, 6904, 851, 540, 476, 3199, 568, 476, 736, 286, 630, 14737, 3065, 12630, 851, 540, 5021, 12630, 851, 2020, 3199, 21680, 476, 736, 815, 476, 275, 267, 1775, 4318, 1421, 476, 272, 270, 275, 540, 476, 3199, 815, 476, 736, 692, 17798, 267, 476, 736, 568, 476, 272, 270, 275, 851, 540, 476, 3199, 692, 9616, 1384, 3682, 21793, 593, 3182, 21106, 2285, 721, 519, 4316, 547, 1685, 4909, 4238, 540, 1840, 267, 12408, 267, 8691, 543, 6498, 692, 26384, 16665, 16610, 0, 258, 16534, 3830, 676, 28809, 24626, 692, 6701, 596, 4712, 547, 1451, 875, 547, 16534, 3830, 676, 28809, 24626, 286, 4279, 256, 2913, 781, 1205, 3323, 256, 3776, 3896, 666, 4194, 2979, 2262, 2042, 780, 1012, 14572, 3830, 676, 28809, 24626, 692, 2467, 616, 849, 1082, 13334, 7044, 602, 666, 1397, 596, 875, 547, 16534, 3830, 676, 28809, 24626, 269, 1411, 666, 849, 1265, 2489, 4388, 543, 5796, 593, 875, 547, 2087, 707, 1353, 6208, 269, 1703, 616, 1256, 2228, 21493, 602, 666, 948, 596, 960, 998, 2352, 2042, 1900, 676, 1900, 269, 21894, 1826, 540, 948, 596, 991, 267, 972, 568, 2386, 547, 581, 513, 6780, 24626, 856, 972, 602, 666, 948, 596, 1205, 519, 2816, 2944, 780, 306, 6295, 1950, 2338, 666, 581, 2352, 267, 855, 972, 616, 930, 2409, 602, 666, 1118, 519, 1184, 4443, 269, 2290, 1505, 568, 547, 946, 519, 834, 31669, 1505, 269, 901, 3322, 14921, 519, 1950, 1297, 676, 922, 31669, 269, 901, 786, 14458, 519, 1297, 543, 1118, 621, 4443, 547, 4194, 269, 6271, 1505, 568, 547, 946, 519, 834, 29332, 6579, 1505, 269, 901, 3322, 1101, 267, 14921, 519, 1950, 1297, 676, 922, 1950, 31669, 269, 901, 786, 14458, 519, 1297, 543, 1118, 621, 4443, 547, 4194, 780, 2467, 616, 1082, 2409, 585, 6061, 1949, 540, 5276, 4834, 269, 634, 1034, 1455, 1505, 568, 1210, 17594, 269, 901, 3322, 4946, 610, 18946, 4834, 538, 1931, 547, 22599, 856, 4632, 269, 6271, 1455, 1505, 568, 18839, 267, 799, 3322, 6061, 585, 835, 4756, 538, 2474, 540, 519, 1866, 543, 1287, 726, 19982, 713, 1394, 883, 519, 824, 4834, 269, 1452, 2409, 666, 581, 1031, 585, 1949, 609, 1022, 1297, 540, 4632, 780, 2467, 616, 513, 1906, 1114, 2081, 547, 1205, 3348, 531, 322, 948, 269, 1411, 666, 2307, 513, 3659, 610, 1920, 4759, 945, 568, 1434, 693, 2979, 267, 3406, 2228, 585, 513, 5850, 610, 3381, 267, 610, 16926, 513, 20131, 269, 1403, 596, 2811, 2348, 8373, 609, 513, 1808, 1523, 267, 621, 781, 1419, 5363, 547, 1413, 693, 1896, 1114, 2200, 547, 1205, 513, 1134, 25454, 1620, 269, 11086, 267, 519, 1655, 1259, 547, 1451, 3348, 531, 1529, 639, 568, 547, 2259, 607, 1454, 607, 2009, 543, 547, 1205, 948, 950, 596, 2811, 12758, 780, 2467, 616, 513, 1906, 1114, 2081, 547, 4194, 8454, 269, 2290, 1259, 568, 547, 946, 513, 1455, 14009, 269, 901, 1797, 4466, 513, 1297, 602, 1312, 519, 19362, 543, 519, 14009, 666, 581, 5258, 676, 269, 6271, 1259, 568, 547, 9062, 519, 19362, 543, 14009, 676, 519, 1482, 1297, 267, 607, 1279, 607, 621, 568, 711, 4642, 269, 901, 568, 1572, 3444, 14921, 780, 1012, 1284, 786, 1489, 596, 609, 2979, 7965, 692, 2005, 781, 606, 5863, 813, 585, 2979, 2094, 594, 8704, 621, 267, 594, 3893, 782, 1434, 9344, 538, 2979, 269, 898, 2982, 543, 2491, 596, 519, 3070, 540, 1114, 4834, 543, 2636, 596, 547, 1118, 8666, 689, 1433, 610, 21641, 543, 2760, 1118, 873, 4636, 269, 17828, 813, 2909, 17383, 2336, 7775, 569, 23101, 454, 1607, 814, 1831, 1250, 1655, 3659, 1247, 3257, 2979, 256, 1879, 594, 1810, 1405, 917, 875, 547, 4194, 1919, 267, 594, 7048, 593, 713, 813, 269, 898, 666, 849, 581, 1031, 547, 6166, 707, 1378, 2164, 269, 898, 781, 865, 5363, 950, 621, 3947, 596, 519, 12449, 547, 930, 3252, 563, 306, 629, 27444, 24261, 454, 10521, 1900, 8635, 24626, 1215, 547, 798, 2979, 4834, 10789, 2979, 2042, 609, 4267, 16534, 8635, 585, 1535, 17438, 2262, 1966, 24626, 13335, 2979, 2042, 0, 258, 1215, 547, 2422, 9185, 2910, 7419, 2316, 12396, 9577, 609, 13038, 7600, 4997, 692, 1607, 5850, 6257, 519, 4542, 16105, 543, 6165, 540, 519, 9185, 2910, 7419, 2316, 12396, 9577, 543, 922, 721, 1137, 780, 1012, 9185, 2910, 7419, 2316, 12396, 9577, 1107, 9502, 692, 2750, 4897, 2910, 7419, 2316, 12396, 1599, 568, 513, 4759, 540, 519, 2910, 7419, 307, 1920, 543, 4434, 4528, 540, 9185, 2910, 7419, 2316, 293, 9577, 780, 1607, 1599, 568, 513, 4999, 540, 1079, 3252, 267, 968, 4596, 7419, 307, 892, 543, 968, 9281, 306, 892, 1079, 3252, 269, 9484, 541, 2299, 1312, 540, 873, 3112, 798, 1454, 855, 1927, 666, 798, 13300, 780, 1607, 1599, 7024, 513, 1297, 1871, 607, 513, 1267, 780, 2162, 16522, 1314, 540, 713, 1599, 692, 284, 4596, 7419, 2316, 12396, 630, 322, 761, 4997, 318, 9792, 272, 267, 7355, 272, 267, 1496, 322, 761, 4997, 318, 9792, 273, 267, 7355, 273, 316, 8796, 16804, 322, 761, 4997, 318, 9792, 5332, 267, 7355, 5332, 6540, 2162, 14803, 3701, 692, 322, 761, 4997, 318, 9792, 272, 1700, 314, 26473, 1600, 316, 901, 568, 519, 1101, 2039, 1141, 547, 6218, 519, 2404, 7355, 780, 322, 761, 4997, 272, 1700, 314, 26473, 1600, 316, 634, 7355, 786, 946, 593, 2039, 476, 272, 780, 322, 761, 4997, 318, 9792, 273, 1107, 1496, 18893, 1308, 316, 901, 568, 519, 2034, 2039, 941, 547, 6218, 519, 2404, 7355, 780, 322, 761, 4997, 273, 1107, 1496, 18893, 1308, 316, 519, 7355, 786, 946, 593, 2039, 476, 273, 692, 2162, 12085, 547, 5457, 692, 2171, 666, 4019, 909, 547, 476, 14096, 2039, 11305, 761, 4997, 8424, 538, 513, 4542, 780, 2750, 4897, 2910, 7419, 2316, 12396, 9577, 946, 519, 7355, 971, 607, 667, 2969, 2464, 267, 2338, 267, 1257, 267, 543, 824, 2783, 780, 763, 1875, 5991, 10179, 545, 610, 1257, 7355, 1590, 581, 538, 5595, 6709, 4925, 780, 1607, 1599, 7028, 9266, 12427, 630, 12481, 267, 2999, 267, 2999, 285, 267, 815, 264, 543, 3552, 11568, 630, 24682, 24047, 585, 9864, 12805, 692, 2252, 519, 7355, 4661, 568, 513, 4704, 547, 606, 8900, 1591, 267, 519, 2910, 7419, 2316, 12396, 1599, 13000, 519, 8900, 1591, 607, 513, 476, 271, 1871, 780, 9336, 3606, 2039, 1590, 723, 519, 1482, 1297, 540, 9343, 543, 9587, 607, 519, 7355, 318, 9792, 272, 4661, 269, 1403, 519, 9832, 25314, 2255, 1287, 649, 786, 1205, 513, 1948, 7407, 5470, 780, 8196, 3552, 15258, 3197, 630, 349, 1107, 512, 32499, 264, 607, 630, 349, 24047, 610, 630, 349, 265, 264, 950, 547, 1265, 1483, 2243, 1665, 610, 14531, 7416, 780, 1012, 9185, 2910, 7419, 2316, 12396, 9577, 609, 2789, 7355, 692, 2080, 568, 606, 3239, 267, 1141, 649, 723, 513, 10471, 543, 593, 519, 1318, 2427, 540, 713, 3239, 649, 723, 930, 2783, 602, 2115, 547, 581, 4294, 547, 1265, 519, 1267, 780, 2750, 4897, 2910, 7419, 2316, 12396, 9577, 692, 2971, 23063, 6672, 692, 1692, 547, 1265, 519, 1297, 540, 7606, 1346, 945, 616, 5870, 609, 782, 519, 1739, 7355, 610, 2783, 538, 519, 1657, 1239, 1606, 564, 780, 29189, 815, 968, 300, 1446, 10640, 21946, 776, 815, 968, 285, 17168, 876, 10640, 23430, 815, 968, 306, 2297, 10640, 3086, 1265, 519, 3070, 585, 519, 1657, 3510, 676, 7311, 9185, 2910, 7419, 2316, 12396, 9577, 1900, 676, 1900, 780, 16100, 585, 519, 9832, 1141, 782, 540, 938, 7355, 2887, 1369, 269, 6270, 607, 281, 7042, 2108, 300, 1446, 892, 7355, 2887, 896, 519, 968, 29189, 892, 9184, 780, 2108, 285, 17168, 876, 892, 7355, 8813, 896, 968, 21946, 776, 892, 9184, 780, 2108, 306, 2297, 892, 7355, 2887, 896, 519, 968, 23430, 892, 9184, 692, 8340, 519, 2039, 540, 938, 1142, 540, 519, 2783, 610, 7355, 538, 519, 2016, 1239, 1606, 564, 269, 6423, 2630, 281, 7042, 5978, 1101, 7355, 968, 300, 1446, 892, 476, 7673, 3396, 1109, 815, 8813, 1369, 10323, 311, 9184, 267, 2039, 281, 630, 289, 273, 281, 645, 1556, 2020, 13553, 7355, 968, 285, 17168, 876, 892, 7673, 3396, 815, 8813, 1369, 590, 3201, 14473, 9184, 267, 2039, 281, 630, 290, 273, 281, 595, 1556, 2020, 23612, 7355, 968, 306, 2297, 892, 18987, 3396, 815, 8813, 1369, 667, 7968, 11286, 16774, 9184, 267, 2039, 281, 630, 291, 273, 281, 667, 1556, 2020, 3086, 917, 519, 7355, 543, 568, 922, 2039, 269, 6423, 2630, 281, 7042, 290, 761, 4997, 318, 9792, 272, 476, 3396, 815, 11557, 630, 289, 273, 281, 289, 1556, 2020, 290, 761, 4997, 272, 476, 7673, 13725, 1109, 284, 22503, 692, 290, 761, 4997, 318, 9792, 273, 476, 3396, 815, 6428, 776, 630, 290, 273, 281, 290, 1556, 2020, 290, 761, 4997, 273, 13725, 476, 3396, 1109, 476, 3396, 1109, 18092, 17168, 876, 692, 290, 761, 4997, 318, 9792, 274, 476, 3396, 815, 4972, 630, 291, 273, 281, 291, 1556, 2020, 290, 761, 4997, 274, 7673, 3396, 476, 3396, 1741, 815, 19833, 692, 21607, 782, 891, 7355, 1369, 519, 9185, 2910, 7419, 2316, 12396, 9577, 780, 284, 4596, 7419, 2316, 12396, 630, 289, 273, 281, 645, 1556, 267, 968, 300, 1446, 5608, 595, 273, 281, 595, 1556, 267, 968, 285, 17168, 876, 5608, 667, 273, 281, 667, 1556, 2223, 19833, 14615, 543, 5734, 4283, 780, 8450, 519, 3239, 2630, 281, 7042, 2750, 4897, 2910, 7419, 2316, 12396, 9577, 692, 1103, 1591, 717, 273, 649, 723, 4294, 519, 9185, 2910, 7419, 2316, 12396, 9577, 543, 1294, 519, 1267, 780, 2171, 666, 849, 946, 519, 2012, 538, 1747, 540, 9832, 267, 971, 607, 2039, 630, 289, 273, 281, 645, 1556, 264, 815, 29189, 1070, 2039, 630, 290, 273, 281, 595, 1556, 264, 815, 21946, 776, 267, 543, 2039, 630, 291, 273, 281, 667, 1556, 264, 815, 306, 2297, 780, 3383, 1310, 4758, 519, 2012, 585, 519, 9832, 267, 938, 4542, 5654, 899, 607, 5205, 281, 7042, 284, 4596, 7419, 2316, 12396, 630, 29189, 267, 968, 300, 1446, 5608, 6428, 776, 267, 2108, 285, 17168, 876, 5608, 4972, 267, 968, 306, 2297, 892, 2020, 294, 1516, 513, 2012, 547, 513, 2039, 568, 1572, 2012, 318, 9792, 538, 9185, 269, 769, 519, 2104, 5816, 2022, 267, 649, 786, 1451, 827, 2012, 318, 9792, 538, 9185, 780, 296, 4126, 596, 1265, 713, 2022, 827, 2048 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 28798, 707, 22423, 1983, 543, 14139, 4052, 2553, 547, 19586, 519, 6456, 2984, 8659, 1369, 7725, 543, 6886, 269, 3776, 3460, 5956, 609, 6632, 1154, 519, 2627, 540, 7725, 267, 799, 666, 7866, 10578, 2934, 602, 1522, 6382, 979, 29462, 269, 1284, 786, 849, 2263, 875, 1978, 6886, 2746, 950, 5189, 547, 1585, 6878, 971, 607, 3679, 267, 2417, 27283, 741, 2189, 3601, 269, 1635, 519, 1439, 540, 713, 3184, 267, 596, 786, 723, 6591, 513, 4514, 7071, 585, 519, 1148, 540, 7777, 16479, 7634, 543, 922, 4644, 538, 2413, 3621, 1382, 780, 276, 269, 273, 634, 5295, 540, 7720, 626, 675, 281, 31514, 17325, 725, 998, 10281, 1674, 692, 2691, 6313, 513, 4224, 19494, 267, 7311, 7509, 547, 922, 2627, 949, 3100, 4831, 842, 30698, 282, 2705, 267, 3257, 865, 666, 3648, 3986, 707, 2702, 547, 20559, 2629, 3877, 269, 4826, 6411, 607, 513, 3172, 4328, 4837, 267, 8744, 8521, 11029, 18282, 543, 3889, 602, 616, 15865, 950, 3819, 269, 769, 938, 6679, 642, 793, 8291, 267, 519, 15669, 3096, 19975, 630, 320, 11593, 2139, 2707, 540, 1216, 264, 547, 5848, 523, 519, 4224, 267, 3850, 873, 547, 2697, 1134, 25535, 5703, 6613, 332, 592, 2572, 585, 3133, 32070, 11251, 538, 513, 5127, 540, 838, 541, 12792, 18287, 924, 269, 1452, 14263, 9908, 7103, 1131, 723, 7283, 3768, 4593, 2642, 1510, 519, 5351, 540, 20697, 780, 22134, 1674, 4249, 513, 2565, 1909, 538, 21264, 532, 7777, 5888, 1813, 547, 11186, 10338, 3928, 1851, 1585, 6886, 269, 1280, 3236, 267, 10036, 6886, 8858, 1164, 10110, 1890, 2157, 3379, 547, 824, 1455, 6886, 899, 21247, 543, 21688, 1091, 335, 1513, 269, 9182, 267, 5848, 2287, 513, 4224, 5627, 1312, 10036, 543, 1875, 12641, 599, 6886, 5932, 7298, 24716, 1063, 519, 1079, 2516, 267, 14123, 8446, 269, 3958, 267, 930, 6886, 10929, 2681, 2242, 2390, 4598, 547, 1216, 267, 3246, 1776, 3407, 23319, 2509, 4977, 8760, 780, 276, 269, 274, 11906, 18873, 281, 1133, 548, 4770, 519, 1234, 13808, 540, 30200, 692, 19741, 2241, 20697, 4255, 267, 3114, 6547, 2709, 513, 3532, 1797, 540, 7114, 543, 23243, 1063, 1114, 7777, 2249, 269, 2290, 4922, 6964, 1505, 3322, 10962, 32561, 8652, 18608, 545, 3679, 630, 295, 5141, 264, 5196, 19941, 25202, 6886, 267, 24254, 513, 24526, 2498, 12883, 12412, 3210, 22566, 540, 7513, 19941, 630, 25519, 4596, 8975, 481, 1040, 901, 5114, 8711, 519, 4527, 540, 1455, 19941, 6886, 971, 607, 18287, 924, 543, 513, 16400, 924, 1107, 1883, 3334, 538, 24348, 7725, 899, 14680, 543, 25879, 780, 10907, 573, 4152, 5713, 607, 606, 5140, 1383, 540, 875, 1480, 7279, 543, 17634, 723, 9141, 7760, 538, 7777, 16479, 1353, 269, 3683, 5553, 267, 3744, 723, 2919, 3875, 556, 698, 757, 3358, 4481, 547, 3713, 1880, 7777, 2010, 267, 3056, 547, 8101, 3356, 538, 1915, 1944, 3047, 781, 3309, 7777, 31174, 1137, 269, 4653, 267, 4359, 10763, 2645, 971, 607, 6475, 25132, 13681, 525, 543, 2473, 11920, 32250, 7405, 5512, 5730, 8990, 540, 3693, 531, 15885, 543, 12627, 3889, 282, 18562, 267, 2596, 3114, 4255, 2611, 4143, 538, 2413, 6377, 13753, 267, 3226, 1282, 3355, 5933, 540, 2079, 780, 276, 269, 275, 5843, 2675, 8084, 22410, 281, 32672, 2718, 26726, 2622, 338, 10738, 692, 2414, 5963, 5660, 519, 5898, 543, 6988, 540, 6886, 267, 835, 1590, 14679, 3564, 6071, 3308, 24422, 543, 9784, 519, 7706, 540, 22794, 269, 774, 514, 3296, 4620, 5766, 1429, 344, 1107, 519, 7041, 543, 6514, 540, 16600, 6253, 514, 21100, 540, 7725, 896, 8701, 1242, 1769, 9145, 8554, 1107, 3091, 13778, 4030, 883, 16358, 4919, 31223, 267, 4835, 3889, 267, 543, 954, 29115, 3270, 269, 1306, 7152, 538, 938, 4367, 267, 1256, 9583, 4183, 1652, 1929, 16893, 666, 22426, 27610, 15455, 267, 4547, 547, 1272, 998, 6297, 6094, 3296, 21339, 780, 11101, 267, 8441, 538, 17655, 6475, 22794, 630, 306, 4932, 264, 1631, 1450, 3173, 547, 16785, 7777, 7252, 693, 2282, 10570, 10253, 267, 19286, 908, 5892, 7164, 24466, 4162, 543, 3157, 269, 10765, 2090, 9001, 590, 4932, 11052, 723, 8774, 1007, 1769, 593, 23282, 7051, 9259, 2404, 609, 7777, 2208, 267, 27072, 267, 543, 7004, 267, 7700, 547, 513, 1732, 1620, 540, 4909, 2520, 12950, 9979, 5665, 1369, 3047, 1949, 780, 276, 269, 276, 10241, 538, 7073, 3194, 281, 3245, 7025, 16424, 547, 12754, 16709, 692, 30265, 539, 609, 891, 942, 3620, 517, 1819, 2943, 16111, 9687, 2553, 267, 4207, 7777, 690, 1235, 4019, 741, 1702, 2066, 513, 3376, 8552, 540, 10459, 267, 1519, 2825, 5464, 267, 4199, 3408, 267, 543, 2326, 2257, 269, 1280, 1383, 267, 16439, 5230, 4496, 12526, 538, 3037, 12632, 12346, 8185, 593, 7777, 16479, 9382, 267, 7175, 4977, 10526, 540, 1761, 8733, 4220, 15054, 676, 27643, 2238, 269, 6684, 267, 7777, 16479, 31937, 532, 3029, 606, 7533, 5057, 540, 18837, 2520, 657, 31190, 267, 21528, 1876, 11268, 8041, 538, 6760, 6429, 13753, 5473, 3037, 267, 7452, 267, 610, 824, 28634, 6927, 780, 13010, 267, 24567, 4610, 971, 607, 4230, 13681, 5735, 5051, 4096, 593, 7777, 16479, 6791, 547, 4612, 31373, 14111, 5439, 8120, 689, 2230, 13485, 610, 9916, 20716, 3842, 4715, 14029, 8084, 7422, 269, 24356, 12004, 1014, 1036, 14663, 267, 16264, 7725, 267, 543, 14368, 2572, 2488, 4105, 10881, 3823, 19236, 4720, 267, 4356, 1464, 2175, 267, 543, 519, 9860, 540, 1272, 3564, 3047, 269, 11569, 267, 519, 1360, 13210, 540, 938, 6228, 949, 554, 16636, 2390, 30196, 519, 13655, 20206, 4327, 1369, 6886, 780, 1103, 3932, 267, 713, 3184, 814, 25967, 1819, 519, 2956, 540, 12561, 513, 15491, 1935, 2509, 7777, 16479, 13753, 267, 21214, 12550, 2675, 8084, 7422, 267, 18784, 18362, 267, 543, 3114, 9382, 269, 3414, 17117, 540, 891, 2553, 267, 1053, 1831, 9280, 609, 519, 2556, 1983, 564, 547, 7832, 593, 741, 1378, 15322, 540, 6602, 267, 796, 792, 2251, 8941, 31960, 2620, 1369, 519, 3045, 1023, 540, 27230, 1686, 269, 1924, 267, 4584, 909, 602, 4224, 267, 14927, 523, 922, 2627, 267, 543, 5965, 3054, 585, 513, 22116, 540, 4898, 618, 543, 13414, 269, 2991, 782, 267, 945, 6487, 1018, 2261, 12069, 24098, 1346, 29412, 2614, 547, 9263, 9944, 519, 1654, 559, 286, 0, 2080, 568, 606, 1349, 689, 513, 2546, 912, 10454, 4224, 14084, 676, 519, 4155, 2515, 1705, 711, 1413, 899, 1454, 540, 1719, 693, 1101, 281, 513, 2864, 562, 1180, 525, 5296, 14680, 267, 609, 2370, 811, 547, 1397, 547, 13680, 8343, 982, 513, 1906, 22394, 1025, 582, 2583, 269, 7102, 3118, 267, 2025, 6208, 5884, 2182, 267, 865, 594, 13603, 621, 909, 267, 561, 17673, 519, 2627, 543, 2322, 621, 267, 543, 1250, 1688, 7828, 267, 547, 1250, 3750, 269, 634, 3965, 540, 519, 8710, 267, 543, 519, 26497, 540, 5634, 6602, 267, 568, 1869, 4195, 269, 634, 2370, 1025, 582, 2583, 5828, 856, 547, 581, 519, 1034, 24077, 1614, 1673, 574, 3290, 958, 12873, 6613, 332, 592, 2572, 585, 3133, 32070, 602, 835, 1223, 4126, 547, 1294, 267, 1305, 538, 513, 14952, 331, 3585, 13031, 2067, 9160, 540, 838, 541, 12792, 18287, 924, 269, 3487, 540, 519, 3732, 1869, 1178, 806, 1250, 11380, 267, 1247, 519, 1964, 814, 1044, 14894, 539, 585, 17209, 6094, 6810, 585, 1053, 269, 6270, 16782, 1058, 711, 581, 609, 18988, 689, 519, 7820, 5108, 563, 299, 10107, 519, 4224, 267, 540, 1576, 267, 568, 851, 540, 519, 2520, 6048, 779, 543, 5493, 2801, 2632, 6048, 779, 6186, 712, 344, 540, 6836, 7146, 2173, 1276, 2389, 6479, 2553, 1031, 547, 948, 7639, 538, 519, 2361, 269, 22911, 1154, 519, 2627, 2636, 8093, 543, 7777, 18282, 547, 1796, 856, 25921, 267, 2864, 982, 3010, 2237, 606, 3573, 543, 2143, 1576, 1770, 538, 513, 1837, 585, 2852, 1053, 1644, 547, 519, 1349, 1657, 267, 2519, 593, 834, 14737, 1968, 9609, 257, 607, 851, 540, 834, 2793, 307, 13543, 1315, 32520, 1299, 30200, 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, 7689, 281, 2353, 29513, 262, 4303, 910, 18270, 908, 519, 22032, 540, 10513, 4658, 692, 29020, 281, 4841, 786, 1174, 519, 4644, 543, 5389, 2404, 609, 2353, 29513, 262, 4303, 1369, 8567, 269, 1358, 786, 849, 1451, 827, 1585, 13411, 1004, 945, 723, 1044, 9976, 2429, 1686, 780, 307, 13759, 6520, 6828, 281, 5664, 3427, 4841, 692, 8893, 30991, 281, 27051, 835, 5662, 692, 29605, 10261, 539, 1384, 265, 6519, 4580, 610, 3109, 4580, 454, 265, 4460, 619, 610, 25879, 454, 265, 7435, 8083, 609, 5961, 543, 5618, 11673, 540, 4583, 25598, 454, 265, 5769, 1569, 585, 7044, 543, 2592, 692, 7072, 912, 5970, 596, 2479, 4862, 2576, 5219, 547, 607, 513, 834, 338, 5593, 8119, 9894, 596, 917, 602, 1082, 10764, 267, 1519, 8567, 267, 8661, 2027, 2395, 6131, 547, 26621, 741, 25598, 286, 2290, 971, 1554, 568, 1572, 2353, 29513, 262, 4303, 256, 2913, 781, 2263, 922, 2495, 543, 2956, 547, 10271, 1472, 519, 1158, 780, 28694, 1384, 272, 269, 1548, 568, 2353, 29513, 262, 4303, 888, 5472, 29513, 262, 4303, 3217, 1747, 1169, 1032, 593, 5437, 476, 272, 560, 269, 898, 568, 513, 942, 950, 10271, 3314, 543, 8956, 1346, 945, 723, 5030, 2523, 13411, 2729, 269, 1452, 2043, 616, 1419, 6444, 607, 25598, 676, 1114, 13039, 269, 2201, 713, 1554, 267, 21071, 7390, 5939, 2533, 267, 7281, 585, 519, 21549, 267, 543, 949, 1256, 3643, 524, 655, 2678, 625, 547, 2973, 543, 30164, 30401, 2572, 563, 273, 269, 5808, 616, 891, 25598, 888, 306, 11989, 616, 2367, 543, 2021, 2808, 24215, 21705, 13794, 540, 4906, 2441, 269, 10801, 1686, 267, 3875, 2043, 723, 7152, 9058, 2648, 267, 11587, 267, 10100, 267, 543, 20174, 269, 4256, 2984, 8300, 1866, 547, 2661, 13974, 5601, 569, 2729, 269, 2368, 2442, 25598, 1331, 12142, 18536, 267, 945, 4547, 8567, 547, 8581, 282, 12624, 1855, 25564, 267, 1634, 585, 1200, 960, 1851, 3127, 781, 4057, 282, 543, 9410, 13162, 3751, 12789, 1421, 513, 3540, 2924, 6205, 6273, 676, 1010, 5132, 563, 274, 269, 6201, 540, 25587, 29513, 912, 320, 269, 12142, 14731, 540, 2667, 27599, 1107, 1323, 7969, 2003, 541, 1634, 585, 1010, 2620, 4276, 609, 2470, 543, 2831, 269, 1261, 8547, 519, 11352, 540, 29443, 1513, 19724, 267, 1732, 1634, 607, 519, 8071, 4593, 753, 563, 321, 269, 29315, 540, 20211, 1107, 589, 3943, 5869, 710, 543, 4108, 6205, 1282, 519, 25569, 13012, 2782, 1063, 5333, 543, 4789, 269, 2701, 10645, 10143, 5583, 3366, 1200, 883, 6370, 563, 322, 269, 7338, 13985, 21590, 1107, 1323, 9565, 14544, 543, 31188, 1014, 4171, 10752, 3136, 547, 3337, 7826, 2219, 2221, 563, 323, 269, 21965, 540, 590, 1329, 320, 1107, 1323, 7969, 7793, 545, 543, 12167, 585, 4708, 1282, 2053, 540, 13137, 543, 2797, 1193, 1057, 563, 275, 269, 11242, 912, 320, 269, 8058, 2110, 3381, 24056, 10023, 2984, 540, 4583, 25598, 269, 11559, 1053, 547, 1865, 1018, 789, 23507, 1034, 827, 1142, 23920, 563, 321, 269, 19147, 1053, 883, 2516, 543, 3651, 1142, 1895, 513, 23920, 269, 5620, 873, 1711, 19297, 20515, 741, 6074, 23920, 781, 1272, 543, 7418, 269, 18224, 519, 8737, 2472, 1472, 519, 4928, 563, 322, 269, 8048, 513, 1362, 4901, 3695, 875, 2413, 6377, 12325, 666, 4196, 607, 1909, 3631, 1175, 899, 3140, 25598, 798, 269, 12833, 924, 1053, 547, 2671, 4408, 540, 2123, 4943, 725, 543, 2491, 1946, 789, 8359, 873, 780, 6962, 912, 9213, 649, 4121, 827, 2353, 29513, 262, 4303, 267, 513, 9702, 14120, 13411, 2367, 543, 2021, 2429, 4168, 1686, 269, 1635, 4974, 741, 2729, 543, 3527, 267, 649, 1932, 666, 11441, 2509, 2713, 811, 15962, 267, 21464, 267, 543, 17519, 2729, 6000, 269, 3807, 607, 891, 11121, 5515, 2451, 9434, 5222, 593, 519, 1158, 267, 865, 666, 649, 267, 7488, 540, 938, 2085, 610, 4282, 269, 0, 2080, 568, 606, 1349, 689, 513, 2546, 912, 257, 12552, 547, 3627, 7917, 21862, 839, 267, 12815, 528, 543, 1250, 21927, 2676, 1372, 576, 1078, 282, 12815, 832, 27722, 543, 3057, 1176, 333, 670, 1173, 571, 557, 282, 634, 12389, 6478, 267, 513, 2622, 454, 310, 728, 31776, 540, 932, 11699, 630 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 6459, 3264, 13953, 563, 29551, 9924, 17153, 19757, 21162, 3264, 18194, 31606, 21162, 3264, 454, 396, 507, 7846, 21833, 21170, 11714, 9924, 8563, 3264, 13150, 4138, 11714, 476, 16068, 4344, 9686, 3264, 23783, 21162, 17153, 11012, 4344, 4814, 30718, 3522, 17153, 15800, 9261, 12811, 3522, 25602, 7549, 16021, 4814, 13833, 21660, 16648, 13077, 8563, 20732, 4138, 17153, 21660, 4138, 16648, 17201, 9841, 20732, 3264, 3264, 3097, 4138, 21660, 4138, 9261, 12811, 9841, 20732, 3264, 3264, 17095, 17201, 4138, 10948, 3264, 13150, 8563, 3378, 11012, 4344, 19277, 7846, 397, 491, 4344, 30718, 15800, 24893, 3264, 16417, 13194, 30935, 10528, 9326, 4344, 7846, 19628, 15800, 17153, 17095, 17201, 4138, 10948, 3264, 13150, 8563, 3378, 269, 3097, 396, 497, 3522, 13077, 4709, 28821, 31589, 20046, 31502, 267, 24893, 26580, 11714, 4736, 3264, 15671, 28027, 25338, 7846, 9686, 20046, 476, 4344, 17201, 9841, 7549, 3378, 16068, 9686, 4138, 4709, 24893, 3264, 6459, 13833, 3264, 7549, 267, 3097, 20265, 16648, 13077, 8563, 20732, 4138, 17153, 21660, 4138, 16648, 17201, 9841, 20732, 3264, 3264, 15800, 21660, 4138, 9261, 12811, 9841, 20732, 3264, 3264, 17095, 17201, 4138, 10948, 3264, 13150, 8563, 3378, 11012, 4344, 19277, 7846, 397, 491, 4344, 30718, 563, 12163, 333, 815, 703, 9272, 15405, 323, 815, 31460, 1721, 1775, 538, 2039, 3799, 2187, 825, 544, 815, 3403, 4590, 825, 737, 330, 815, 544, 21858, 263, 2580, 19515, 825, 952, 737, 330, 314, 271, 316, 538, 546, 912, 1038, 546, 25208, 330, 314, 271, 14963, 23785, 272, 454, 825, 3116, 912, 1038, 546, 25208, 330, 314, 271, 14963, 815, 476, 272, 454, 345, 815, 15044, 9230, 323, 29096, 3890, 1070, 1883, 284, 14433, 16948, 281, 16948, 314, 272, 3910, 9258, 18989, 12467, 2745, 18750, 314, 271, 6012, 271, 3910, 1990, 314, 271, 6012, 272, 3910, 694, 335, 284, 2580, 19515, 2745, 18750, 15631, 272, 6012, 271, 3910, 1990, 15631, 272, 6012, 272, 3910, 694, 335, 284, 2580, 834, 2020, 12163, 396, 351, 3264, 6459, 3264, 32553, 32648, 20265, 9326, 17095, 17221, 15671, 3522, 454, 396, 509, 20046, 9326, 16068, 10948, 12811, 9841, 10780, 5284, 379, 7846, 31124, 4814, 21162, 13953, 10780, 3522, 4814, 12811, 9841, 267, 27188, 14359, 3264, 15671, 3378, 20413, 4709, 22147, 3378, 18194, 31589, 13194, 3264, 13953, 15800, 16068, 4709, 16044, 483, 3378, 10948, 20046, 11012, 3378, 17153, 13077, 17221, 31224, 3097, 4138, 17153, 17095, 32648, 25000, 7549, 4344, 9924, 11714, 476, 16021, 6459, 3264, 32553, 32648, 4709, 26281, 17095, 17221, 15671, 3264, 269, 2843, 502, 13194, 8563, 3264, 13150, 21170, 267, 24893, 26580, 27188, 17095, 3522, 21833, 9686, 22147, 3378, 18194, 31589, 15671, 3522, 3097, 9261, 5284, 370, 20046, 25338, 9924, 31224, 16068, 9686, 4138, 4709, 15800, 20434, 25338, 17201, 9841, 20732, 3264, 14359, 21134, 21268, 13833, 476, 16021, 6459, 3264, 32553, 32648, 13833, 269, 2843, 507, 3522, 10528, 4138, 20732, 4138, 16021, 29824, 22147, 13077, 9261, 9261, 7846, 267, 3097, 7549, 3378, 26580, 13077, 9326, 10780, 21134, 5284, 370, 20046, 2843, 509, 3264, 16021, 21660, 17153, 19757, 4138, 31224, 11714, 4736, 3264, 14359, 21134, 3264, 13077, 16068, 10528, 16417, 9686, 3264, 6459, 397, 495, 4709, 4709, 22147, 3378, 18194, 31589, 15671, 3522, 563, 396, 353, 18775, 9261, 19277, 11714, 8563, 19757, 3522, 454, 29551, 10780, 21268, 8563, 26281, 11012, 4344, 4814, 30718, 3264, 30935, 28027, 21170, 16068, 9686, 21170, 16044, 484, 3264, 6459, 3378, 3264, 24893, 25986, 6459, 3378, 715, 630, 272, 18016, 715, 18016, 476, 1911, 271, 264, 2443, 17095, 17201, 4138, 10948, 3264, 13150, 8563, 3378, 3097, 4709, 21134, 21268, 13833, 476, 16021, 6459, 3264, 32553, 32648, 13833, 267, 15800, 4709, 32553, 18775, 9261, 3522, 30530, 19628, 16068, 17095, 30324, 18775, 9924, 17153, 2843, 509, 20046, 9326, 476, 476, 16417, 20732, 4138, 6459, 11012, 3378, 17153, 13077, 17221, 31224, 11714, 3097, 16021, 6459, 3264, 32553, 32648, 4709, 26281, 17095, 17221, 15671, 3264, 269, 31560, 11012, 6459, 29391, 7846, 19628, 27569, 4138, 17153, 715, 11012, 4344, 4814, 30718, 3522, 17153, 30935, 28027, 21162, 476, 16021, 6459, 3264, 32553, 3378, 21162, 15800, 15800, 9261, 12811, 3522, 15800, 17153, 3097, 8563, 20977, 9686, 3264, 23783, 20500, 3264, 8563, 24893, 3264, 16417, 13194, 29824, 29652, 3264, 6459, 269, 2843, 351, 3264, 6459, 3264, 32553, 32648, 2443, 16044, 491, 26580, 14359, 27799, 7549, 17201, 9841, 7549, 3378, 16044, 484, 4138, 32553, 4814, 267, 30935, 10528, 25986, 31606, 21162, 17153, 10780, 19757, 4814, 9326, 9686, 267, 3097, 4138, 9261, 9326, 2843, 370, 3264, 11012, 3378, 13150, 3378, 4138, 4344, 476, 4344, 17201, 9841, 7549, 3378, 15800, 13194, 476, 31589, 4736, 4736, 24012, 17153, 25338, 7846, 7549, 8563, 269, 2843, 501, 3522, 10528, 25986, 4138, 14359, 3264, 10780, 13833, 4344, 18775, 9326, 19628, 4344, 31502, 563, 29551, 11012, 6459, 29391, 7846, 19628, 27569, 3264, 13953, 11012, 4344, 4814, 30718, 3264, 30935, 10528, 25986, 3522, 21170, 16044, 484, 3264, 6459, 3378, 3264, 24893, 25986, 6459, 3378, 631, 630, 272, 18016, 631, 18016, 476, 1911, 264, 2443, 17095, 17201, 4138, 10948, 3264, 13150, 8563, 3378, 3097, 13194, 3522, 10528, 4814, 25974, 13833, 16068, 4344, 2843, 509, 20046, 4138, 269, 31560, 11012, 6459, 29391, 7846, 19628, 27569, 4138, 17153, 631, 11012, 4344, 4814, 30718, 3522, 17153, 30935, 10528, 25986, 3522, 21162, 11012, 3522, 9261, 4138, 30935, 10528, 4814, 25974, 9924, 267, 3097, 10528, 3378, 16068, 9686, 4709, 21134, 7846, 21660, 11012, 4344, 4814, 30718, 3264, 269, 2843, 504, 3522, 21833, 9686, 9924, 13953, 30935, 10528, 4814, 25974, 2443, 16044, 491, 26580, 15800, 9261, 9326, 17095, 3522, 7549, 22147, 3378, 268, 26580, 18194, 31589, 15671, 3522, 267, 3097, 10948, 9841, 4138, 476, 16021, 6459, 3264, 32553, 3378, 21162, 2843, 509, 20046, 9326, 16044, 483, 3378, 10948, 20046, 11012, 3264, 13953, 10948, 3522, 4736, 21660, 13953, 28821, 267, 30935, 10528, 25986, 31606, 21170, 3264, 11714, 476, 26580, 10948, 21170, 13150, 4138, 476, 25000, 7549, 267, 17095, 3522, 7549, 11714, 476, 16021, 6459, 3264, 32553, 32648, 4709, 26281, 17095, 17221, 15671, 3264, 563, 396, 353, 18775, 9261, 19277, 11714, 9924, 8563, 19757, 3522, 454, 396, 498, 31124, 17095, 3522, 21833, 9686, 22147, 3378, 30935, 10528, 4814, 25974, 3522, 16068, 4344, 2843, 509, 20046, 4138, 11714, 9924, 8563, 29391, 4138, 16021, 11714, 16068, 4344, 9686, 3264, 23783, 4709, 26281, 11012, 4344, 4814, 30718, 3264, 11714, 4736, 3264, 476, 16021, 6459, 3264, 32553, 3378, 21162, 267, 3097, 10528, 23485, 20265, 9686, 6459, 3264, 21833, 3522, 27569, 4138, 3264, 24893, 3264, 6459, 13833, 3264, 7549, 7846, 11012, 16044, 491, 28821, 9261, 15800, 9261, 12811, 27671, 269, 2843, 351, 3264, 6459, 3264, 32553, 3378, 21162, 16068, 9686, 4709, 22147, 3378, 24893, 3264, 6459, 13833, 3264, 18547, 11714, 9924, 8563, 19757, 4138, 16021, 3097, 8563, 16068, 9686, 4709, 7846, 11012, 4344, 4814, 30718, 7846, 24893, 3264, 16417, 13194, 29824, 29652, 3264, 6459, 11714, 476, 4344, 21134, 10780, 18775, 9326, 9686, 7549, 3264, 267, 11714, 17095, 30324, 18775, 21134, 16068, 17221, 25338, 9924, 20434, 30935, 28027, 21162, 11714, 3378, 11714, 17153, 19757, 21162, 17153, 18194, 31606, 21162, 17153, 563, 396, 499, 4736, 20434, 11714, 476, 16021, 6459, 3264, 32553, 32648, 4709, 26281, 17095, 17221, 15671, 3264, 14359, 20046, 476, 16021, 6459, 3264, 32553, 32648, 13833, 24893, 3264, 6459, 13833, 3264, 18547, 11012, 476, 25000, 24012, 9261, 15800, 9261, 12811, 27671, 267, 3097, 8563, 9924, 8563, 29391, 4138, 16021, 11714, 11012, 3378, 30324, 8563, 20046, 13150, 8563, 7846, 19628, 27569, 3264, 13953, 11012, 4344, 4814, 30718, 3264, 16938, 396, 507, 3264, 4138, 13194, 8563, 3264, 13150, 21162, 13953, 14359, 21134, 21268, 14872, 630, 16648, 3264, 13194, 17095, 3522, 8563, 9924, 10948, 3264, 7549, 1916, 12163, 333, 815, 703, 9272, 15405, 18743, 815, 31460, 1721, 1775, 538, 2039, 3799, 2187, 825, 544, 815, 3403, 14061, 20889, 4590, 825, 544, 314, 271, 3910, 544, 314, 272, 316, 815, 544, 314, 272, 3910, 544, 314, 271, 2639, 825, 952, 544, 314, 271, 316, 711, 538, 9598, 912, 1038, 9598, 314, 332, 314, 271, 14963, 815, 1193, 9852, 314, 272, 7481, 825, 3116, 912, 1038, 9598, 314, 332, 314, 271, 14963, 6834, 1412, 1412, 1341, 1193, 9852, 314, 272, 7481, 330, 815, 703, 9272, 15405, 4944, 529, 815, 11713, 1721, 795, 538, 2039, 17347, 2187, 825, 16354, 815, 1193, 9272, 15405, 825, 838, 529, 6910, 3799, 332, 994, 1721, 1535, 538, 838, 529, 912, 825, 952, 1535, 711, 538, 9598, 912, 1038, 1820, 3488, 396, 507, 3264, 4138, 13194, 8563, 3264, 13150, 21162, 13953, 14359, 21134, 21268, 5073, 825, 3116, 912, 1038, 1820, 5560, 1112, 20572, 20285, 12163, 13194, 3522, 28027, 10948, 3522, 21660, 7846, 10948, 4138, 31224, 31502, 15800, 4736, 10528, 17201, 9841, 13194, 13833, 28476, 11012, 6459, 13833, 3522, 4814, 9841, 18194, 31124, 10780, 19757, 4736, 10948, 20046, 3522, 17095, 17201, 4138, 10948, 3264, 13150, 27593, 269, 3097, 29551, 3522, 20732, 3264, 13953, 29824, 22147, 13077, 9261, 9261, 3264, 10780, 3378, 13150, 7846, 10528, 3522, 20046, 21660, 11714, 17153, 19757, 11012, 4344, 4814, 30718, 3522, 267, 11714, 3522, 9261, 14359, 3264, 29652, 17153, 19757, 4138, 9261, 3378, 10780, 19757, 4736, 10948, 4138, 4344, 28476, 3097, 4736, 7549, 17201, 9841, 7549, 3378, 476, 13077, 13194, 11714, 13150, 16417, 28821, 20977, 4736, 9841, 17095, 3522, 21833, 28027, 9326, 25338, 7846, 7549, 27593, 11714, 16044, 491, 4344, 26281, 11012, 4344, 4814, 30718, 3264, 25338, 3264, 13194, 27188, 10948, 20046, 3522, 476, 16417, 15671, 4138, 13150, 13077, 267, 3097, 10528, 23485, 16044, 491, 4344, 21134, 16044, 484, 4138, 32553, 4814, 9924, 15800, 11012, 4138, 9261, 8563, 17201, 9924, 10780, 7846, 4709, 7549, 4344, 7846, 3522, 30530, 4138, 14359, 7846, 21833, 21170, 29824, 5284, 379, 7846, 13150, 4138, 31224, 269, 3097, 396, 508, 4344, 8563, 20046, 14359, 7846, 21833, 21170, 11012, 3378, 17153, 13077, 17221, 31224, 11714, 11012, 6459, 13833, 3522, 16417, 267, 11714, 17095, 30324, 18775, 21134, 17095, 6459, 19628, 10948, 910, 25338, 7846, 7549, 27593, 267, 3097, 3522, 23970, 20265, 10948, 23845, 3264, 910, 17095, 17201, 4138, 10948, 3264, 13150, 8563, 3378, 476, 13077, 13194, 267, 11012, 7549, 17201, 9841, 7549, 3378, 16044, 491, 25000, 25338, 7846, 7549, 27593, 11714, 13150, 16417, 28821, 20977, 4736, 9841, 11714, 11012, 4344, 4814, 30718, 3264, 269, 3097, 29551, 17095, 3522, 10948, 3264, 13150, 8563, 3264, 16068, 4344, 8563, 20046, 3522, 14359, 7846, 21833, 21170, 11714, 9924, 8563, 3264, 13150, 4138, 11012, 6459, 13833, 3522, 4814, 9841, 454, 12163, 320, 815, 3403, 14061, 12294, 4590, 321, 815, 31460, 1721, 6221, 538, 513, 912, 825, 952, 6221, 18994, 10401, 10031, 1038, 952, 6221, 538, 536, 912, 2018, 536, 314, 14403, 314, 271, 14963, 6834, 476, 272, 454, 1038, 3116, 912, 2018, 536, 314, 14403, 314, 271, 14963, 815, 476, 272, 454, 2745, 6357, 2020, 0, 12163, 396, 507, 3522, 10528, 4138, 20732, 4138, 16021, 29824, 22147, 13077, 9261, 9261, 7846, 267, 17095, 3378, 26580, 13077, 9326, 29824, 13833, 21268, 9326, 20046, 267, 11714, 21268, 21170, 2843, 375, 4138, 24893, 26580, 10780, 17201, 9841, 13194, 13833, 3522, 16021, 23783, 11714, 8563, 3264, 6459, 16044, 491, 6459, 3264, 7549, 4344, 4814, 32648, 4709, 7846, 19628, 10780, 3378, 10948, 4344, 7846, 563, 29551, 9924, 17153, 19757, 21162, 3264, 18194, 31606, 21162, 3264, 454, 396, 350, 17095, 20977, 8563, 4138, 19277, 7846, 4814, 9924, 11714, 8563, 19757, 4138, 4344, 31502, 16068, 9686, 20265, 11012, 4344, 4814, 30718, 3522, 910, 16044, 491, 6459, 3264, 7549, 4344, 4814, 32648, 20265, 9326, 10780, 3378, 10948, 25000, 563, 29551, 9924, 17153, 19757, 21162, 3264, 18194, 31606, 21162, 3264, 454, 29551, 9924, 8563, 3264, 13150, 4138, 834, 396, 509, 3378, 10948, 25000, 11714, 8563, 29391, 12811, 3522, 11714, 21268, 21170, 257, 31128, 4736, 20434, 11714, 11012, 4344, 4814, 30718, 3264, 31128, 13150, 9841, 23970, 20265, 7549, 834, 287, 257, 15800, 834, 1701, 563, 29551, 9924, 8563, 3264, 13150, 4138, 834, 396, 508, 4344, 4736, 7846, 4344, 13150, 8563, 7846, 20046, 7711, 257, 31128, 4736, 20434, 14359, 20046, 11012, 3378, 30324, 8563, 20046, 13150, 8563, 7846, 19628, 27569, 3264, 15671, 3378, 11012, 4138, 9261, 8563, 17201, 3522, 563, 29551, 9924, 8563, 3264, 13150, 4138, 834, 396, 508, 4344, 4736, 7846, 4344, 13150, 8563, 7846, 20046, 1547, 257, 31128, 4736, 20434, 14359, 20046, 11012, 3378, 30324, 8563, 20046, 13150, 8563, 7846, 19628, 27569, 3264, 15671, 3378, 11012, 4138, 9261, 8563, 17201, 3522, 563, 29551, 9924, 8563, 3264, 13150, 4138, 834, 396, 508, 4344, 4736, 7846, 4344, 13150, 8563, 7846, 20046, 7711, 15800, 1547, 257, 31128, 4736, 20434, 14359, 20046, 11012, 3378, 30324, 8563, 20046, 13150, 8563, 7846, 19628, 27569, 4138, 17153, 11012, 4138, 9261, 8563, 17201, 13833, 563, 12163, 21166, 318, 611, 816, 815, 3403, 4590, 604, 834, 287, 257, 538, 13875, 318, 611, 816, 543, 834 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 518, 1131, 269, 1411, 666, 4440, 14487, 1010, 5959, 535, 14513, 32488, 547, 3843, 547, 25837, 538, 930, 29454, 1282, 513, 32357, 2773, 8430, 563, 26170, 267, 519, 12896, 3240, 10071, 630, 8967, 514, 778, 22017, 24047, 2982, 602, 1004, 798, 5469, 950, 707, 4522, 5749, 1406, 607, 2973, 607, 789, 1058, 581, 269, 1677, 2057, 602, 19849, 14536, 267, 1934, 616, 930, 13561, 4388, 585, 5329, 707, 4522, 3168, 741, 1655, 1247, 596, 2461, 593, 519, 979, 563, 9359, 609, 513, 2973, 5023, 269, 1411, 2461, 811, 19038, 547, 2445, 1426, 11935, 1282, 519, 1554, 952, 596, 723, 3710, 5346, 15799, 593, 707, 4522, 269, 901, 20202, 9190, 6915, 28291, 24643, 1007, 1426, 5536, 899, 513, 11275, 269, 17179, 15799, 676, 8499, 17678, 543, 29781, 1354, 596, 2212, 856, 519, 7450, 563, 305, 20600, 1310, 4189, 269, 4014, 707, 19975, 2337, 2312, 31629, 1426, 689, 707, 5023, 267, 621, 949, 711, 18113, 23574, 2476, 782, 519, 11935, 269, 1411, 666, 4217, 713, 1184, 676, 2220, 5109, 543, 32092, 532, 609, 2973, 1216, 1310, 513, 7594, 563, 16605, 513, 2370, 19568, 13561, 269, 4634, 1310, 32092, 532, 267, 29134, 11353, 540, 1426, 666, 2611, 25778, 3022, 1063, 4522, 269, 1924, 1175, 538, 2013, 267, 1832, 513, 1507, 3787, 540, 6595, 19568, 630, 528, 513, 19568, 4584, 264, 538, 707, 1625, 572, 610, 23129, 547, 4894, 1022, 11935, 596, 1294, 610, 1745, 1063, 707, 4522, 563, 19400, 1018, 596, 3548, 269, 2368, 3536, 1765, 3697, 1402, 25468, 267, 20202, 16152, 610, 32248, 5388, 1765, 732, 29200, 585, 23578, 538, 4522, 269, 8347, 547, 2057, 4189, 891, 3536, 1318, 1354, 513, 1857, 5920, 1141, 707, 12837, 949, 581, 2565, 563, 4517, 1934, 779, 606, 3773, 22429, 281, 3502, 1152, 786, 891, 4388, 948, 1832, 707, 12837, 10694, 593, 519, 979, 267, 789, 3580, 849, 948, 1832, 621, 2635, 269, 681, 1231, 532, 609, 1216, 267, 585, 1383, 267, 2337, 2539, 707, 5023, 779, 3679, 1377, 1310, 4189, 267, 513, 6305, 3815, 538, 5694, 9178, 269, 1656, 29781, 267, 1312, 607, 513, 2834, 2259, 543, 585, 17573, 12758, 1426, 267, 11081, 15799, 543, 13604, 707, 1981, 540, 5694, 9178, 543, 10733, 2068, 563, 8855, 267, 513, 2635, 5023, 568, 519, 4358, 1747, 585, 513, 4190, 12837, 269, 5901, 621, 602, 1259, 609, 6131, 9882, 6208, 693, 1753, 610, 593, 519, 979, 563, 1607, 3896, 2882, 2326, 602, 616, 6870, 676, 10677, 267, 610, 824, 28106, 2924, 269, 28298, 610, 12093, 540, 6870, 3688, 3564, 602, 4847, 676, 4023, 946, 267, 607, 3989, 538, 519, 10677, 4031, 267, 3340, 519, 2854, 10479, 540, 519, 10677, 5411, 269, 0, 288, 7400, 2164, 538, 4789, 941, 5950, 2221, 267, 543, 1053, 941, 28439, 593, 11400, 789, 1705, 711, 1694, 1310, 3275, 540, 22314, 1565, 563, 7212, 593, 519, 2627, 2164, 723, 4824, 713, 1032, 267, 609, 513, 2594, 1164, 585, 589, 265, 270, 288, 9344, 543, 606, 2949, 4473, 540, 476, 273, 260, 538, 9740, 267, 621, 568, 711, 519, 1482, 1650, 585, 3025, 269, 634, 1650, 593, 519, 3084, 1377, 568, 1360, 1114, 689, 602, 693, 519, 1367, 1153, 543, 20194, 1377, 267, 543, 1053, 609, 2789, 7496, 547, 741, 1565, 616, 1034, 2693, 547, 581, 4299, 269, 3371, 568, 519, 2407, 2986, 23974, 1867, 593, 8366, 532, 20340, 713, 4832, 563, 24342, 941, 7229, 1210, 10418, 10495, 24110, 630, 7563, 19199, 264, 1107, 519, 4116, 779, 3318, 10385, 540, 519, 1034, 2693, 3446, 1053, 1131, 540, 6913, 1185, 11400, 8854, 6619, 609, 3450, 543, 1565, 11173, 607, 3339, 269, 634, 9344, 941, 1759, 593, 5638, 540, 2875, 2773, 910, 332, 1442, 11400, 267, 1875, 7721, 600, 10526, 267, 6780, 10467, 543, 824, 3029, 540, 2773, 563, 10743, 941, 1287, 5116, 883, 20823, 9753, 585, 1142, 585, 1142, 3446, 1369, 1169, 1641, 267, 476, 272, 1373, 519, 1034, 5150, 1369, 602, 3446, 998, 547, 2547, 5150, 1369, 519, 3446, 269, 901, 1131, 1287, 723, 547, 581, 9896, 1055, 676, 1079, 3610, 267, 519, 2212, 540, 1032, 543, 519, 6240, 269, 11778, 941, 1287, 3044, 2213, 1210, 606, 5690, 602, 3217, 883, 7156, 1312, 1153, 543, 20194, 2250, 2773, 267, 7258, 3084, 1377, 3446, 14778, 563, 7659, 10803, 281, 9236, 26556, 547, 476, 1001, 280, 454, 268, 769, 4789, 267, 476, 3607, 260, 540, 13366, 1185, 513, 2539, 3446, 982, 3610, 10567, 267, 476, 274, 260, 941, 1524, 1079, 9344, 563, 268, 18763, 3506, 4718, 519, 6574, 6454, 593, 589, 265, 270, 288, 9344, 2063, 1032, 267, 8375, 676, 476, 275, 269, 278, 18336, 268, 1717, 3537, 12562, 630, 272, 269, 278, 15992, 2649, 1161, 630, 273, 8472, 543, 12621, 630, 271, 269, 274, 8472, 4718, 1454, 2539, 14380, 538, 589, 265, 270, 288, 3446, 9740, 563, 268, 1703, 568, 513, 1360, 1507, 6749, 538, 519, 6871, 540, 1053, 609, 7981, 12409, 20126, 8236, 3446, 589, 855, 711, 3446, 595, 563, 268, 8409, 593, 5131, 3427, 2725, 1023, 8391, 589, 265, 270, 288, 12628, 676, 476, 271, 269, 272, 260, 543, 1346, 1140, 8724, 595, 610, 1657, 9782, 676, 476, 272, 18336, 268, 8409, 689, 8899, 24493, 2492, 5600, 9302, 8391, 589, 265, 270, 288, 9344, 9782, 676, 476, 272, 260, 543, 1346, 1140, 8724, 595, 610, 1657, 9782, 476, 273, 10065, 8409, 538, 23839, 24493, 2492, 543, 4400, 24493, 2492, 5600, 9302, 9782, 1063, 476, 271, 269, 278, 260, 543, 476, 272, 260, 2066, 1312, 589, 265, 270, 288, 543, 595, 543, 1657, 563, 268, 634, 3349, 2630, 10525, 589, 7400, 26556, 4093, 538, 476, 1001, 279, 267, 476, 1001, 280, 543, 476, 1708, 271, 7258, 519, 3017, 1063, 476, 1001, 279, 270, 866, 543, 476, 1001, 280, 270, 736, 269, 898, 814, 2417, 1044, 7745, 1524, 883, 2188, 602, 1223, 1764, 26556, 912, 268, 13636, 26556, 3604, 666, 581, 2938, 538, 519, 3349, 2630, 912, 2171, 1131, 899, 547, 7249, 7806, 3634, 1346, 1053, 945, 4607, 519, 9344, 789, 4941, 543, 723, 17956, 741, 1747, 538, 2362, 2069, 610, 824, 3029, 540, 2866, 543, 7694, 269, 8616, 593, 513, 1554, 950, 2164, 2949, 941, 909, 476, 273, 260, 621, 729, 606, 15490, 543, 8909, 1554, 585, 476, 2412, 260, 540, 1053, 945, 4718, 741, 9344, 1847, 1524, 2072, 563, 2662, 12241, 649, 5660, 519, 5690, 1031, 538, 3044, 2358, 1022, 21464, 610, 10792, 16287, 27605, 519, 3084, 26556, 3892, 538, 1899, 609, 3105, 1296, 267, 621, 786, 723, 971, 513, 5458, 1909, 547, 1404, 713, 1032, 607, 11400, 723, 711, 1044, 3144, 543, 814, 519, 1761, 547, 22652, 4540, 2042, 1369, 519, 16287, 1062, 563, 2005, 4667, 952, 596, 2661, 538, 519, 5087, 282, 616, 5256, 282, 6519, 16644, 4042, 282, 4309, 1863, 1153, 6980, 282, 723, 1022, 1106, 540, 1565, 7965, 610, 4170, 630, 306, 2894, 13478, 2464, 5148, 610, 7390, 513, 9872, 538, 513, 27797, 1858, 267, 596, 616, 1034, 2693, 547, 723, 707, 9344, 4389, 269, 1703, 568, 1869, 2417, 2079, 547, 581, 2944, 1472, 519, 1239, 543, 945, 814, 1044, 4299, 519, 1034, 676, 713, 1296, 1062, 563, 2252, 649, 1294, 602, 27797, 10453, 723, 1044, 25409, 4299, 607, 811, 1239, 2501, 547, 1769, 649, 1590, 1294, 16190, 543, 23801, 2962, 689, 519, 2229, 547, 2232, 602, 3666, 269, 898, 568, 3274, 30849, 602, 1053, 945, 723, 5249, 865, 2182, 891, 2063, 1079, 1296, 723, 741, 1985, 3268, 543, 602, 2182, 960, 14944, 1441, 676, 606, 5690, 563, 14881, 993, 15260, 3293, 547, 1294, 519, 14199, 540, 3557, 1289, 593, 30793, 2471, 267, 29550, 543, 12820, 547, 3479, 547, 519, 3091, 538, 1747, 610, 1450, 585, 519, 22587, 1184, 547, 979, 998, 267, 713, 3510, 786, 581, 4929, 5458, 6161, 543, 4160, 585, 865, 1082, 1762, 1004, 543, 621, 568, 3274, 711, 4023, 563, 5978, 1762, 1004, 723, 1169, 1318, 547, 1745, 1577, 1524, 676, 519, 1062, 952, 789, 723, 1044, 513, 6408, 540, 519, 16287, 1524, 563, 2005, 568, 593, 721, 782, 1631, 547, 2327, 602, 1100, 835, 568, 2451, 3297, 1317, 540, 713, 1296, 2164, 543, 602, 938, 1762, 1004, 1294, 513, 5177, 7029, 547, 4180, 789, 666, 782, 1847, 593, 547, 1434, 2298, 2069, 267, 7694, 610, 2866, 18353, 563, 2171, 723, 513, 2603, 540, 5796, 543, 5583, 593, 938, 3896, 543, 786, 581, 2139, 547, 1489, 1762, 1004, 693, 713, 942, 1848, 23718, 11219, 2033, 21984, 13530, 267, 16628, 267, 15272, 25477, 5177, 269, 0, 268, 1548, 1893, 798, 23109, 3717, 888, 268, 6904, 568, 519, 9510, 1893, 540, 519, 1158, 888, 268, 1548, 568, 519, 1101, 1634, 1893, 888, 268, 1548, 568, 519, 1101, 1893, 9275, 676, 812, 888, 268, 6904, 568, 519, 3993, 540, 782, 4654, 888, 268, 1215, 2025, 568, 2296, 888, 268, 1772, 5053, 4587, 982, 2296, 888, 268, 1548, 1893, 1705, 14088, 543, 18832, 3717, 888, 268, 1548, 568, 519, 3312, 1893, 540, 2696, 888, 268, 1772, 16130, 4587, 982, 5824, 888, 268, 1548, 729, 4906, 1483, 2012, 888, 268, 1548, 568, 519, 1893, 9275, 538, 13140, 888, 1432, 1893, 798, 23109, 3717, 888, 5319, 5255, 1014, 5319, 5255, 1014, 630, 12626, 12332, 281, 1315, 389, 505, 7224, 390, 488, 7288, 16745, 333, 270, 679, 268, 2129, 268, 27365, 268, 16745, 333, 264, 568, 606, 1624, 738, 610, 21425, 545, 1893, 6592, 538, 519, 4357, 13746, 540, 3627, 1546, 324, 543, 1010, 26393, 11977, 22398, 2917, 538, 3735, 476, 1626, 628, 10601, 4789, 563, 298, 601, 2917, 729, 513, 6891, 5420, 945, 5249, 609, 1546, 324, 538, 1010, 9589, 13753, 10756, 7617, 568, 519, 9510, 1893, 540, 519, 1158, 888, 306, 14234, 630, 4335, 271, 1296, 2025, 264, 1107, 6196, 652, 5678, 538, 3127, 5853, 538, 519, 30920, 540, 18420, 267, 13221, 543, 27454, 1143, 267, 713, 8106, 1893, 568, 835, 540, 519, 9510, 1634, 4654, 538, 519, 1158, 563, 1432, 568, 519, 1101, 1634, 1893, 888, 306, 10179, 1014, 1893, 763, 5681, 518, 1014, 1893, 568, 835, 540, 519, 9998, 1634, 2854, 4654, 269, 634, 968, 2889, 1729, 2000, 30185, 892, 1974, 540, 5681, 518, 1014, 1603, 21269, 524, 269, 476, 20065, 271, 547, 476, 4968, 271, 7460, 269, 769, 713, 1974, 267, 5638, 616, 17033, 2845, 4919, 267, 609, 13093, 1670, 1543, 563, 1432, 568, 519, 1101, 1893, 9275, 676, 812, 888, 2467, 616, 513, 1906, 7355, 602, 1004, 946, 547, 6430, 593, 968, 1492, 1101, 1634, 1893, 1848, 2290, 1259, 1004, 3313, 519, 1101, 1634, 1893, 568, 676, 3168, 693, 519, 1101, 2854, 1893, 267, 799, 4523, 547, 581, 12266, 610, 5681, 518, 1014, 269, 1703, 616, 1312, 12266, 543, 5681, 518, 1014, 5931, 6580, 1394, 547, 1472, 476, 17168, 271, 7460, 563, 7617, 568, 519, 3993, 540, 782, 4654, 888, 306, 14234, 3963, 568, 16130, 1634, 607, 519, 3993, 540, 782, 4654, 286, 16130, 568, 519, 10513, 543, 23942, 1893, 540, 3127, 267, 2854, 538, 1546, 7079, 698, 926, 7097, 799, 568, 849, 1634, 585, 922, 9355, 543, 5898, 269, 16130, 12851, 547, 519, 21475, 26049, 4654, 1920, 563, 1692, 2025, 568, 2296, 888, 12626, 814, 2919, 936, 519, 1576, 540, 811, 982, 476, 272, 267, 6110, 1296, 269, 634, 9998, 3029, 540, 2296, 267, 513, 1895, 540, 4639, 27272, 630, 28808, 15611, 4577, 264, 22463, 4547, 547, 4279, 6628, 676, 17454, 29509, 13896, 538, 519, 476, 276, 628, 2540, 267, 616, 15217, 1572, 6196, 2296, 563, 3674, 5053, 4587, 982, 2296, 888, 296, 6557, 711, 606, 4274, 593, 2296, 267, 855, 585, 1018, 621, 779, 4502, 267, 9504, 7389, 7073, 2296, 547, 519, 476, 1428, 628, 11416, 267, 609, 9956, 543, 519, 3751, 6276, 6426, 1373, 922, 5339, 12508, 269, 769, 2040, 267, 2296, 568, 4587, 982, 5053, 563, 1432, 1893, 1705, 14088, 543, 18832, 3717, 888, 1492, 12355, 1893, 29557, 12698, 269, 12465, 6014, 608, 1122, 8412, 971, 607, 11068, 337, 1662, 630, 7049, 8412, 681, 13741, 1695, 476, 4343, 264, 3081, 602, 14088, 12038, 519, 12355, 1893, 1317, 519, 4408, 646, 3947, 18832, 1107, 1772, 3873, 630, 9349, 540, 19606, 476, 273, 281, 2537, 264, 543, 932, 6072, 630, 7049, 8412, 476, 274, 281, 736, 264, 1107, 1152, 1118, 2631, 538, 12355, 563, 1432, 568, 519, 3312, 1893, 540, 2696, 888, 3891, 11119, 11693, 519, 1249, 602, 519, 6196, 11620, 568, 606, 796, 5793, 32152, 2272, 540, 519, 12355, 1004, 267, 10120, 10271, 11943, 602, 519, 1101, 1893, 1107, 610, 519, 1893, 540, 2696, 1107, 729, 12355, 563, 3674, 16130, 4587, 982, 5824, 888, 1103, 2110, 267, 621, 779, 513, 3787, 7294 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 513, 10888, 4999, 540, 4773, 269, 9253, 323, 589, 932, 578, 267, 623, 784, 610, 15158, 1107, 513, 1305, 540, 20083, 17981, 269, 13507, 4530, 13340, 269, 1215, 568, 4457, 10067, 329, 784, 26269, 16390, 28484, 286, 10067, 329, 784, 589, 10888, 1688, 4999, 540, 17981, 609, 513, 4999, 540, 623, 29330, 267, 15158, 338, 610, 932, 3298, 543, 513, 6292, 269, 2422, 538, 1747, 540, 6666, 267, 11113, 267, 610, 13365, 585, 707, 1977, 610, 5545, 10067, 329, 784, 3756, 269, 10794, 29062, 16816, 32011, 2340, 503, 502, 4258, 1087, 29062, 2340, 503, 510, 2672, 527, 21998, 29062, 29892, 21998, 29062, 10067, 329, 784, 4214, 281, 513, 3014, 540, 4457, 5169, 267, 2356, 5129, 676, 2185, 1004, 267, 538, 799, 17981, 12946, 1585, 1862, 1923, 12791, 267, 12332, 267, 16627, 543, 1806, 10067, 329, 784, 8593, 856, 540, 6752, 1586, 267, 855, 519, 3014, 1185, 1044, 5189, 538, 1082, 7262, 5321, 269, 634, 7435, 24812, 616, 18808, 476, 1724, 17981, 1142, 269, 1677, 979, 10067, 329, 784, 1797, 547, 1289, 519, 10888, 1688, 269, 1452, 616, 15587, 476, 1321, 538, 1297, 269, 12968, 2293, 1107, 2560, 681, 328, 24734, 30652, 329, 784, 1281, 711, 946, 519, 8768, 610, 4005, 17981, 1336, 538, 4457, 5036, 267, 6862, 519, 795, 20269, 17981, 1031, 538, 1977, 10067, 808, 784, 326, 269, 12791, 540, 10067, 329, 784, 4414, 22900, 2506, 334, 10202, 269, 24613, 10067, 329, 784, 1107, 1879, 596, 586, 749, 856, 834, 300, 1695, 808, 784, 257, 950, 513, 6345, 814, 513, 1688, 602, 568, 4502, 5216, 2798, 610, 811, 269, 1411, 991, 2185, 2516, 540, 1614, 543, 835, 6292, 540, 519, 1482, 269, 1306, 606, 18593, 4341, 267, 27632, 24734, 30652, 329, 784, 666, 849, 581, 5129, 609, 835, 2947, 689, 1142, 9290, 1373, 8719, 609, 513, 2699, 2947, 22739, 269, 901, 1863, 2228, 10067, 329, 784, 326, 568, 513, 476, 274, 291, 4528, 540, 835, 540, 519, 1158, 779, 1034, 2442, 3756, 269, 834, 300, 1695, 329, 784, 568, 513, 3084, 2250, 830, 585, 782, 4457, 1004, 10876, 267, 711, 1175, 538, 3624, 267, 855, 849, 519, 4457, 29563, 2437, 1352, 1767, 269, 6423, 811, 269, 27003, 17981, 949, 610, 949, 711, 723, 513, 1871, 543, 8197, 538, 930, 7648, 540, 10067, 329, 784, 16390, 267, 2348, 782, 540, 519, 8768, 17981, 17993, 519, 5180, 7488, 540, 519, 4890, 9115, 540, 519, 1688, 269, 4014, 789, 616, 1034, 4122, 17981, 267, 789, 949, 3277, 547, 4730, 6486, 609, 2147, 9115, 607, 1134, 269, 5192, 8605, 2201, 8835, 269, 634, 1101, 630, 421, 374, 375, 264, 568, 1496, 332, 5451, 316, 543, 568, 1500, 909, 540, 1079, 2694, 281, 834, 1335, 335, 11103, 257, 1496, 4802, 316, 543, 896, 513, 8774, 269, 11374, 909, 568, 519, 1614, 28463, 976, 610, 1488, 992, 17981, 267, 799, 723, 6508, 741, 2495, 689, 519, 3504, 11440, 981, 267, 818, 30987, 543, 25230, 639, 685, 29039, 21644, 269, 476, 272, 269, 10361, 1107, 901, 4016, 547, 519, 6292, 540, 17981, 602, 513, 6345, 814, 547, 723, 538, 1034, 3946, 538, 1931, 547, 979, 856, 269, 9365, 12108, 269, 1403, 596, 3112, 946, 4457, 3197, 267, 621, 568, 30074, 547, 946, 519, 623, 4176, 514, 609, 18565, 269, 18744, 946, 519, 623, 4176, 514, 1510, 18565, 952, 972, 781, 1100, 824, 4781, 630, 324, 3052, 269, 3040, 10790, 295, 297, 32670, 630, 29825, 264, 634, 10902, 10790, 295, 297, 32670, 814, 476, 272, 2631, 15545, 3962, 6345, 568, 18808, 476, 1724, 17981, 267, 543, 789, 1590, 2445, 2516, 540, 519, 1482, 22739, 269, 19612, 607, 544, 5451, 10202, 14504, 978, 547, 5065, 10529, 267, 10067, 329, 784, 7512, 5716, 547, 1205, 547, 17680, 1186, 609, 519, 2679, 7161, 540, 519, 1893, 269, 1215, 547, 2161, 10067, 297, 784, 538, 2296, 286, 9218, 7127, 7650, 281, 1548, 1281, 30652, 329, 784, 1611, 286, 589, 1151, 7534, 790, 3014, 1210, 519, 1482, 17981, 267, 1141, 519, 6345, 17993, 676, 9427, 8424, 540, 12805, 6534, 17981, 2394, 9039, 2611, 269, 898, 1797, 1945, 899, 713, 281, 834, 295, 11391, 11103, 15018, 896, 513, 8774, 2668, 1452, 3652, 786, 1445, 593, 519, 1034, 2596, 3652, 540, 30652, 329, 784, 267, 799, 616, 519, 1482, 2066, 1034, 824, 14726, 269, 589, 10067, 329, 784, 1305, 3568, 513, 2698, 540, 476, 13893, 17981, 269, 4457, 623, 4176, 514, 1383, 4845, 609, 476, 18809, 630, 1990, 327, 784, 1315, 1990, 327, 16230, 978, 3738, 2340, 497, 502, 5675, 538, 623, 4176, 514, 6969, 1210, 713, 623, 4176, 514, 1383, 4845, 267, 2015, 602, 4457, 3197, 1058, 2141, 581, 707, 1101, 3903, 538, 2854, 2792, 269, 9502, 540, 30652, 18191, 784, 326, 269, 634, 3312, 30652, 329, 784, 17981, 1185, 547, 581, 2220, 11474, 856, 1317, 789, 4769, 1406, 1118, 2614, 6846, 269, 898, 8385, 2813, 585, 476, 275, 1004, 267, 855, 814, 1044, 9862, 585, 1447, 610, 811, 269, 834, 300, 1695, 329, 784, 568, 538, 24349, 2854, 607, 865, 281, 28859, 374, 375, 421, 505, 478, 269, 5375, 5716, 786, 4324, 689, 6616, 875, 547, 1293, 689, 835, 547, 8370, 538, 4457, 267, 543, 10067, 329, 784, 786, 4001, 596, 513, 1507, 4015, 540, 4143, 16166, 269, 10067, 329, 784, 3788, 8626, 27274, 2442, 1851, 4457, 11082, 543, 3564, 267, 543, 621, 779, 12286, 538, 1312, 519, 4670, 634, 20717, 24664, 11833, 543, 519, 7641, 1397, 18610, 5510, 2560, 14271, 11618, 630, 320, 1151, 7534, 790, 3014, 2567, 30652, 329, 784, 1151, 7534, 790, 282, 25927, 725, 6423, 849, 269, 634, 804, 22326, 540, 30652, 329, 784, 17981, 568, 513, 5432, 3280, 538, 1082, 4457, 10820, 267, 543, 2560, 3624, 781, 3557, 11846, 8189, 11280, 713, 4528, 540, 30652, 329, 784, 607, 922, 4013, 476, 14838, 628, 7328, 269, 10067, 329, 784, 17981, 630, 24336, 281, 28859, 374, 375, 16533, 485, 29830, 490, 610, 28859, 374, 375, 421, 505, 478, 29830, 490, 282, 533, 4176, 514, 281, 544, 5451, 10202, 14504, 978, 335, 5451, 328, 282, 22616, 2158, 324, 808, 344, 583, 4771, 281, 12103, 320, 275, 15605, 2131, 274, 11985, 2967, 273, 282, 5545, 281, 28859, 374, 375, 421, 505, 478, 29830, 490, 282, 678, 16230, 332, 1690, 328, 281, 544, 5953, 329, 2086, 2967, 264, 616, 17981, 540, 4457, 5169, 602, 616, 1031, 547, 1404, 30652, 329, 784, 607, 1134, 607, 30652, 329, 784, 1151, 7534, 790, 543, 824, 3756, 269, 1411, 666, 5299, 1299, 13594, 267, 610, 8749, 1299, 6749, 1022, 3090, 547, 1257, 7901, 2630, 267, 543, 1294, 875, 621, 5654, 899, 269, 25460, 10586, 540, 10067, 297, 784, 609, 476, 274, 8301, 5731, 9629, 725, 267, 476, 273, 19655, 267, 476, 272, 2495, 267, 476, 277, 16627, 267, 476, 277, 5220, 543, 811, 585, 10067, 297, 784, 269, 18328, 10135, 568, 3989, 607, 4457, 10067, 329, 784, 26269, 16390, 10169, 4749, 269, 6787, 596, 991, 547, 1404, 16280, 267, 13964, 610, 950, 10707, 267, 713, 568, 513, 1390, 30652, 329, 784, 1305, 602, 2507, 1703, 616, 513, 1906, 2081, 596, 666, 1451, 968, 421, 374, 375, 16533, 484, 630, 332, 5451, 10202, 14504, 978, 264, 10067, 329, 784, 6100, 589, 3014, 630, 10594, 3373, 4457, 264, 585, 2185, 5716, 267, 1210, 513, 4015, 540, 17981, 5258, 883, 2947, 610, 3670, 17015, 269, 898, 2832, 547, 1118, 596, 8797, 607, 3504, 4457, 16159, 267, 543, 3728, 607, 3504, 4457, 10627, 269, 12414, 543, 7148, 519, 7161, 547, 2312, 2560, 22564, 585, 1412, 332, 1695, 329, 784, 262, 538, 519, 1863, 2296, 16644, 4042, 8675, 543, 1082, 824, 4457, 16627, 269, 634, 3014, 543, 922, 6237, 14726, 616, 4922, 5129, 2429, 8109, 543, 3162, 8109, 5607, 543, 723, 513, 1507, 1739, 538, 5375, 2477, 269, 6145, 1082, 2442, 3756, 267, 30652, 329, 784, 814, 1082, 6237, 7648, 267, 689, 519, 4457, 17888, 2842, 1062, 547, 1977, 30652, 329, 784, 609, 2027, 536, 22857, 6438, 18176, 6486, 269, 634, 17981, 941, 8385, 1500, 540, 5642, 267, 19348, 610, 32334, 2560, 589, 1305, 540, 476, 10019, 30652, 329, 784, 18176, 16853, 609, 1585, 29559, 269, 4457, 281, 1703, 616, 1896, 4457, 7648, 267, 855, 4457, 10067, 329, 784, 4016, 547, 519, 4013, 4528, 269, 476, 272, 269, 10067, 329, 784, 17981, 630, 24336, 281, 28859, 374, 375, 16533, 485, 29830, 490, 610, 28859, 374, 375, 421, 505, 478, 29830, 490, 282, 533, 4176, 514, 281, 544, 5451, 10202, 14504, 978, 335, 5451, 328, 282, 22616, 2158, 324, 808, 344, 583, 4771, 281, 12103, 320, 18186, 2131, 17328, 2967, 6902, 5545, 281, 28859, 374, 375, 421, 505, 478, 29830, 490, 282, 678, 16230, 332, 1690, 328, 281, 544, 5953, 329, 2086, 2967, 264, 616, 17981, 540, 4457, 5169, 602, 616, 1031, 547, 1404, 30652, 329, 784, 607, 1134, 607, 30652, 329, 784, 1151, 7534, 790, 543, 824, 3756, 269, 9253, 323, 630, 1729, 907, 264, 898, 729, 2813, 607, 513, 1259, 547, 19467, 519, 3652, 540, 519, 865, 1082, 19635, 4457, 8747, 883, 513, 2582, 4013, 3014, 269, 10067, 329, 784, 326, 17435, 5014, 6770, 519, 5929, 12805, 3014, 547, 1272, 256, 9253, 1091, 1879, 513, 6345, 1167, 1841, 513, 22739, 267, 1022, 824, 6345, 949, 1118, 513, 1289, 610, 513, 19915, 585, 602, 22739, 865, 602, 789, 666, 2347, 513, 5283, 323, 269, 634, 2832, 547, 4894, 695, 527, 4452, 540, 17981, 689, 519, 4604, 267, 2781, 696, 789, 1590, 6292, 609, 9838, 3283, 269, 1358, 2097, 538, 2699, 267, 3039, 543, 3043, 609, 1114, 11269, 269, 0, 268, 2353, 15733, 267, 26257, 15733, 267, 2201, 9042, 267, 25307, 555, 836, 330, 553, 454, 268, 12465, 25307, 25038, 774, 836, 6390, 454, 268, 5410, 547, 7047, 454, 268, 25307, 11706, 568, 519, 16264, 2861, 11706, 269, 634, 25307, 1032, 568, 7768, 540, 2901, 476, 1321, 610, 476, 1724, 16264, 3275, 267, 1142, 4098, 543, 10678, 609, 513, 1007, 7599, 269, 589, 19412, 18818, 3923, 568, 3773, 1169, 1079, 610, 1614, 1296, 865, 602, 606, 3328, 25307, 1032, 568, 3160, 547, 519, 3859, 1032, 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 ]
[ 581, 12816, 2094, 789, 1223, 11874, 1860, 519, 11632, 2592, 269, 1411, 949, 849, 581, 4280, 547, 4894, 6217, 11226, 543, 5959, 960, 267, 971, 607, 13123, 543, 7202, 999, 269, 1411, 949, 581, 4280, 711, 547, 3548, 610, 4235, 4376, 585, 1896, 3108, 1354, 519, 981, 267, 2523, 952, 4334, 1570, 786, 581, 1031, 269, 1411, 1058, 1217, 707, 1099, 6048, 610, 10629, 540, 1022, 6527, 596, 616, 2921, 543, 2436, 610, 711, 596, 723, 1022, 11959, 267, 2523, 547, 4334, 2326, 269, 1411, 1058, 849, 2995, 707, 1099, 6048, 610, 10629, 540, 1022, 2487, 10108, 267, 952, 596, 616, 9176, 610, 723, 824, 2564, 2175, 971, 607, 513, 1686, 540, 2295, 2068, 267, 10447, 267, 3987, 267, 8459, 2068, 610, 11178, 2042, 269, 6468, 945, 616, 20418, 949, 1265, 621, 19624, 547, 6802, 6089, 5144, 6619, 540, 942, 865, 602, 621, 666, 581, 1031, 2394, 782, 519, 4334, 1570, 814, 1044, 6569, 689, 707, 1560, 563, 1432, 1058, 594, 2503, 1282, 713, 981, 888, 763, 5650, 3622, 3217, 827, 606, 5662, 269, 13689, 593, 519, 1858, 547, 581, 8947, 267, 596, 786, 581, 17479, 593, 519, 11632, 610, 18909, 3349, 593, 707, 1394, 267, 2427, 610, 7181, 543, 2269, 1186, 543, 10788, 3298, 949, 581, 1031, 547, 948, 2226, 519, 2953, 2990, 543, 3180, 596, 1869, 1282, 519, 981, 269, 589, 12016, 610, 1099, 6048, 786, 7696, 606, 32326, 1899, 630, 4353, 264, 883, 707, 1688, 610, 6186, 543, 513, 1507, 2179, 540, 4334, 1570, 949, 581, 22280, 547, 1294, 875, 1279, 621, 3217, 547, 3914, 519, 1858, 547, 581, 8947, 269, 2755, 596, 616, 17479, 593, 519, 11632, 3349, 267, 519, 11632, 3349, 786, 581, 6410, 3533, 998, 519, 31554, 547, 3313, 519, 2953, 4358, 2990, 585, 519, 11571, 543, 513, 1449, 3239, 786, 581, 3144, 269, 3973, 267, 519, 4890, 981, 786, 2253, 267, 543, 596, 786, 1847, 7444, 998, 519, 31554, 269, 2311, 782, 2053, 513, 1099, 6048, 786, 581, 2111, 547, 1294, 267, 5873, 543, 3717, 609, 596, 269, 2755, 519, 2592, 616, 1373, 6592, 267, 596, 786, 5873, 606, 5044, 540, 21089, 543, 606, 13128, 7630, 528, 4448, 547, 519, 10001, 786, 7630, 4334, 1570, 693, 513, 6417, 2557, 269, 1411, 949, 581, 4280, 547, 3180, 707, 7362, 1282, 519, 17655, 269, 1879, 519, 981, 568, 2347, 707, 10001, 786, 581, 6569, 563, 4407, 519, 17655, 3123, 1100, 1928, 267, 972, 949, 581, 9636, 689, 2348, 547, 2611, 1869, 585, 1896, 3764, 269, 1280, 2550, 945, 1265, 621, 2352, 547, 2611, 1869, 610, 945, 616, 804, 320, 755, 5268, 11131, 610, 538, 5312, 1928, 267, 513, 7646, 6822, 894, 11311, 676, 741, 10629, 949, 1683, 8323, 269, 1403, 32326, 4334, 1570, 568, 1031, 267, 596, 949, 1995, 513, 3636, 267, 1166, 19813, 14815, 543, 513, 17285, 6492, 538, 707, 5023, 602, 16569, 585, 513, 1906, 3764, 269, 19724, 6547, 1331, 21422, 543, 32105, 799, 666, 581, 17212, 1386, 609, 6646, 269, 8752, 32567, 1145, 610, 7411, 7244, 5815, 513, 811, 4049, 13027, 5114, 267, 543, 596, 1058, 2995, 519, 1099, 6048, 610, 12016, 5612, 269, 2991, 519, 981, 267, 543, 4470, 2390, 2436, 610, 711, 4334, 1570, 729, 1031, 267, 596, 666, 2132, 547, 707, 3339, 2238, 563, 2690, 811, 1344, 593, 713, 1888, 267, 5225, 3643, 8940, 10611, 611, 5735, 16769, 3820, 269, 0, 4462, 6674, 519, 31981, 540, 9351, 8943, 476, 14596, 7330, 2336, 22704, 3009, 476, 14596, 568, 519, 1858, 3009, 585, 519, 1533, 540, 4993, 269, 898, 729, 2813, 593, 5437, 476, 1428, 267, 476, 1960, 280, 563, 22704, 8943, 476, 14596, 2974, 320, 454, 22704, 8943, 476, 14596, 568, 606, 1858, 3009, 602, 6227, 27292, 543, 922, 4478, 1016, 31755, 538, 20563, 267, 4516, 269, 898, 729, 2813, 538, 476, 1220, 280, 538, 513, 11662, 17253, 1858, 3009, 8237, 267, 799, 849, 4718, 519, 4367, 540, 1858, 3009, 476, 6872, 280, 269, 634, 476, 14596, 1858, 3009, 568, 519, 1034, 29245, 540, 20563, 779, 1858, 9479, 267, 609, 5111, 476, 273, 269, 275, 2929, 1004, 2713, 538, 922, 3795, 1858, 269, 898, 568, 849, 835, 540, 519, 11662, 779, 1034, 17215, 25133, 4525, 269, 634, 476, 14596, 1858, 3009, 568, 1753, 547, 1082, 540, 4516, 779, 1034, 1134, 8153, 3549, 267, 1519, 25512, 731, 1512, 267, 13852, 4516, 543, 1325, 2939, 566, 21676, 3832, 6874, 731, 269, 634, 1858, 3009, 568, 1134, 268, 8588, 547, 824, 2694, 540, 4516, 267, 609, 2789, 28565, 543, 1857, 6283, 11507, 10707, 998, 922, 6302, 269, 898, 568, 849, 1753, 547, 513, 1297, 540, 2686, 18845, 267, 1519, 519, 27292, 7467, 540, 20963, 8551, 543, 519, 27292, 15636, 19680, 12567, 563, 14532, 543, 18882, 540, 9351, 8943, 476, 14596, 454, 22704, 3009, 476, 14596, 568, 513, 15146, 1858, 3009, 4092, 538, 519, 8225, 11662, 540, 20563, 269, 898, 729, 2813, 538, 476, 1220, 279, 607, 513, 8237, 689, 1858, 3009, 476, 276, 1691, 267, 799, 1185, 6039, 519, 3003, 11662, 2094, 476, 3707, 278, 269, 28210, 538, 519, 27292, 23195, 1858, 267, 476, 14596, 5713, 513, 2551, 540, 936, 2185, 2929, 1004, 267, 1818, 621, 835, 540, 519, 1034, 29245, 1858, 9479, 538, 4516, 563, 763, 1858, 3009, 476, 14596, 3357, 883, 1198, 593, 2904, 476, 273, 267, 476, 1220, 279, 267, 950, 519, 8225, 15571, 14482, 7697, 543, 17791, 20664, 8189, 630, 10135, 12839, 264, 9783, 513, 3375, 547, 8237, 519, 11662, 540, 20563, 883, 1079, 1858, 9479, 269, 634, 1007, 476, 14596, 1858, 3009, 6227, 519, 27292, 23195, 1858, 267, 1247, 782, 824, 2694, 540, 519, 11662, 941, 8655, 1858, 3009, 476, 279, 866, 269, 901, 3375, 729, 1500, 547, 13918, 519, 2810, 3747, 585, 15146, 2338, 538, 519, 3148, 563, 763, 1858, 3009, 476, 14596, 568, 835, 540, 519, 1906, 8225, 1858, 9479, 602, 568, 711, 8655, 593, 513, 10923, 4493, 269, 5502, 267, 621, 568, 8655, 593, 513, 6237, 4493, 267, 609, 519, 27292, 23195, 1858, 1373, 519, 1152, 3148, 538, 519, 11662, 602, 568, 8655, 519, 476, 14596, 3009, 269, 901, 568, 1813, 547, 519, 1164, 1297, 540, 1004, 945, 2661, 538, 519, 27292, 1858, 267, 799, 814, 3361, 513, 4028, 22930, 540, 2139, 6049, 2338, 563, 763, 1858, 3009, 476, 14596, 568, 513, 7683, 9687, 1858, 3009, 269, 634, 10911, 12839, 814, 2907, 9307, 4566, 547, 8237, 519, 1858, 3009, 1586, 883, 1079, 3606, 1858, 9479, 267, 476, 280, 4343, 543, 476, 275, 4343, 269, 901, 786, 4755, 538, 476, 1708, 271, 267, 543, 568, 1373, 2944, 547, 2327, 602, 972, 786, 3136, 547, 581, 606, 7850, 3761, 540, 15146, 2338, 585, 519, 3148, 563, 22704, 3009, 476, 14596, 568, 513, 12576, 540, 875, 3533, 519, 26313, 2872, 568, 4657, 269, 898, 568, 849, 513, 12576, 602, 519, 27292, 23195, 1858, 568, 513, 6385, 3395, 543, 1271, 851, 540, 4516, 269, 2060, 922, 2189, 1858, 3009, 267, 519, 3148, 568, 2111, 547, 2226, 922, 1378, 3961, 543, 2327, 602, 922, 7264, 3136, 547, 723, 1569, 547, 519, 5767, 26313, 2029, 563, 22704, 8943, 476, 14596, 15147, 720, 454, 22704, 8943, 476, 14596, 1107, 4092, 538, 519, 8225, 11662, 540, 20563, 1107, 568, 513, 2189, 1858, 3009, 602, 6227, 513, 5318, 543, 3309, 3148, 269, 3245, 519, 14297, 2749, 540, 27292, 538, 519, 5045, 547, 519, 6917, 2950, 540, 519, 19846, 660, 2103, 538, 519, 5087, 267, 9351, 8943, 476, 14596, 568, 1753, 547, 513, 7524, 3575, 540, 4529, 267, 4654, 267, 543, 19824, 563, 2690, 1346, 3168, 547, 3251, 4448, 609, 2828, 543, 1920, 267, 9351, 8943, 476, 14596, 3091, 513, 1297, 540, 2640, 269, 3689, 267, 621, 568, 513, 17167, 6954, 1858, 3009, 267, 2495, 621, 1281, 711, 2154, 513, 1279, 26591, 15298, 585, 1818, 7125, 269, 901, 2306, 621, 513, 1390, 3903, 585, 3486, 7125, 267, 607, 519, 1942, 540, 891, 7125, 568, 3335, 2539, 982, 609, 2757, 1279, 26591, 19057, 563, 13553, 267, 9351, 8943, 476, 14596, 568, 513, 2101, 5010, 13398, 267, 609, 1082, 1804, 4213, 2348, 513, 4527, 538, 519, 1858, 269, 901, 1797, 602, 2199, 4213, 666, 4324, 689, 519, 1164, 1297, 540, 1761, 5561, 538, 519, 1858, 267, 1247, 5561, 666, 1491, 5413, 540, 519, 3099, 540, 2472, 543, 2533, 2139, 563, 7661, 267, 9351, 8943, 476, 14596, 814, 513, 3309, 2551, 267, 609, 513, 2647, 2039, 540, 6803, 10080, 543, 6502, 269, 901, 1797, 602, 972, 568, 513, 2647, 3099, 540, 2621, 543, 2238, 547, 3442, 689, 267, 1818, 621, 513, 1390, 1747, 547, 2661, 1100, 2339, 1018, 707, 4690, 269, 3245, 2575, 15976, 547, 1148, 26847, 267, 972, 568, 1945, 585, 3025, 538, 9351, 8943, 476, 14596, 563, 2690, 1346, 3168, 547, 3251, 4448, 609, 2828, 543, 1920, 538, 9351, 8943, 476, 14596, 267, 972, 616, 513, 1297, 540, 3681, 269, 3509, 1279, 26591, 19057, 2709, 2533, 547, 713, 1858, 267, 607, 798, 513, 1297, 540, 966, 302, 7709, 7426, 269, 3958, 267, 972, 616, 513, 1297, 540, 4950, 2861, 6049, 3549, 602, 2709, 10097, 3928, 585, 1818, 1279, 26591, 7125, 563, 5591, 2339, 1141, 596, 616, 4092, 267, 9351, 8943, 476, 14596, 568, 513, 1390, 1747, 547, 3251, 4448, 609, 1920, 543, 2828, 269, 2060, 922, 17167, 6954, 1858, 3009, 267, 1870, 3255, 267, 543, 3309, 2551, 267, 621, 568, 513, 1390, 1747, 547, 1289, 1753, 563, 28899, 20079, 595, 2642, 676, 9351, 8943, 476, 14596, 454, 22704, 8943, 476, 14596, 568, 513, 15146, 1858, 3009, 602, 6227, 2694, 540, 4516, 267, 4481, 519, 3152, 27292, 1858, 269, 901, 1858, 3009, 568, 835, 540, 519, 1034, 29822, 20651, 4525, 538, 519, 2197, 267, 543, 568, 1753, 547, 930, 540, 519, 7887, 543, 1034, 7524, 4872, 538, 519, 4182, 269, 3245, 519, 11599, 25708, 4295, 540, 27292, 547, 519, 28677, 8109, 24104, 4721, 267, 9351, 8943, 476, 14596, 568, 1753, 547, 513, 2647, 3099, 540, 4529, 267, 4654, 267, 543, 19824, 563, 300, 2632, 9418, 568, 519, 4102, 2749, 538, 519, 1858, 3009, 267, 609, 513, 2551, 540, 936, 476, 272, 269, 278, 2929, 269, 901, 2749, 568, 1634, 585, 922, 2189, 11100, 540, 3864, 2528, 267, 609, 513, 2178, 3943, 3310, 267, 543, 782, 519, 2413, 29319, 540, 513, 2101, 3345, 1977, 1558, 24227, 269, 2060, 922, 18512, 2528, 543, 5863, 11951, 267, 27292, 568, 513, 1390, 1747, 547, 3643, 610, 1289, 1753, 563, 301, 792, 2421, 700, 10052, 568, 1776, 14297, 2749, 538, 519, 476, 14596, 1858, 3009, 269, 901, 2749, 568, 1634, 585, 922, 4190, 11614, 543, 18162, 267, 607, 1134, 607, 922, 7524, 3781, 5158, 269, 2060, 922, 2673, 16133, 547, 27292, 267, 621, 779, 2653, 547, 1491, 513, 2656, 1554, 7552, 547, 700, 10052, 585, 606, 3078, 1554, 856, 563, 763, 8109, 24104, 4721, 267, 4092, 1175, 3544, 540, 27292, 267, 616, 513, 2442, 10278, 585, 14666, 543, 17137, 269, 901, 1858, 568, 1634, 585, 922, 4190, 29278, 267, 844, 5593, 14252, 267, 543, 23406, 5127, 543, 2736, 325, 6814, 269, 6787, 596, 2461, 3168, 585, 513, 9602, 15964, 1205, 12537, 610, 606, 7045, 23752, 3408, 540, 519, 1390, 13964, 267, 519, 8109, 24104, 4721, 616, 2386, 547, 723, 1945, 547, 2709, 563, 10702, 7178, 267, 596, 3580, 1265, 519, 4872, 540, 7043, 826, 340, 559, 543, 645, 1484, 731, 269, 7043, 826, 340, 559, 568, 513, 2442, 10278, 585, 3885, 267, 609, 922, 7524, 2686, 18845, 543, 1187, 2238, 269, 645, 1484, 731, 568, 1634, 585, 922, 10918, 8664, 543, 922, 8949, 14060, 267, 1818, 621, 513, 1390, 5544, 547, 4584, 909, 930, 2189, 6204, 1597, 15077, 610, 723, 513, 8949, 7594, 563, 22704, 3009, 476, 14596, 568, 849, 1753, 547, 513, 1297, 540, 4130, 10034, 543, 14252, 267, 1519, 15519, 7596, 543, 645, 668, 2632, 269, 3962, 540, 891, 4025, 814, 922, 1378, 2189, 19259, 267, 5356, 8436, 513, 4960, 547, 2263, 519, 1686, 543, 2528, 540, 519, 3148, 269, 6787, 596, 2461, 3168, 585, 513, 21363, 16314, 610, 606, 7045, 23752, 3408, 267, 9351, 8943, 476, 14596, 568, 2386, 547, 723, 1945, 547, 2709, 563, 22704, 8943, 476, 14596, 568, 606, 1858, 3009, 538, 519, 8225, 11662, 540, 20563, 269, 898, 729, 2813, 538, 476, 1001, 275, 607, 606, 6772, 599, 547, 1858, 9479, 476, 276, 1691, 543, 476, 275, 4343, 269, 901, 3009, 5713, 519, 20523, 27292, 1858, 267, 1519, 519, 4872, 540, 700, 10052, 267, 7043, 826, 340, 559, 543, 27292, 269, 898, 849, 5713, 930, 2694, 540, 519, 19846, 660, 1014, 15142, 543, 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 ]
[ 1296, 540, 2085, 563, 1692, 1454, 5144, 1058, 513, 476, 273, 1032, 2025, 4235, 888, 21918, 527, 707, 1126, 779, 5144, 6981, 547, 827, 476, 1626, 1700, 2190, 13728, 513, 1554, 630, 273, 547, 476, 274, 11680, 1040, 31160, 811, 4401, 11656, 3536, 630, 1889, 520, 267, 16738, 267, 3165, 267, 23353, 9274, 267, 10365, 267, 31949, 1916, 2691, 1058, 596, 3247, 4758, 22525, 513, 11480, 888, 763, 1977, 9142, 540, 27435, 5267, 6031, 676, 324, 1532, 6614, 547, 519, 11480, 1354, 707, 4816, 568, 476, 1240, 3275, 2025, 563, 2691, 1058, 22525, 3247, 1210, 11480, 888, 2691, 1058, 596, 649, 534, 4816, 1055, 519, 11480, 286, 17925, 2103, 543, 12963, 24782, 2161, 602, 9002, 1058, 2736, 519, 11480, 4356, 693, 476, 1321, 3275, 2443, 543, 519, 1977, 9142, 540, 27435, 630, 288, 4338, 264, 15565, 2347, 649, 22135, 689, 519, 11480, 676, 476, 1428, 3275, 693, 519, 5767, 269, 0, 763, 3328, 5993, 5201, 4616, 585, 519, 6093, 15751, 534, 7622, 568, 827, 476, 24798, 271, 737, 2662, 269, 1215, 1454, 1379, 798, 596, 8532, 888, 26502, 2334, 7827, 2659, 29283, 454, 4407, 519, 3328, 7622, 538, 22598, 27499, 827, 476, 24798, 271, 737, 2662, 5201, 829, 1032, 267, 707, 1378, 4616, 5673, 593, 1896, 2188, 267, 1519, 912, 268, 634, 1297, 540, 1004, 2713, 538, 707, 1753, 454, 268, 2659, 1753, 781, 2450, 543, 1826, 630, 328, 4318, 269, 2436, 621, 781, 513, 2582, 1673, 564, 3737, 2777, 267, 606, 19887, 267, 610, 513, 598, 4777, 994, 268, 634, 2085, 540, 707, 1753, 454, 268, 1215, 1134, 15564, 4327, 707, 1753, 568, 454, 268, 6904, 14233, 946, 5201, 610, 3154, 454, 268, 634, 1648, 4398, 540, 707, 14233, 454, 268, 634, 4365, 454, 30182, 15751, 534, 6052, 29283, 454, 1103, 476, 1001, 274, 2698, 15751, 534, 10821, 5201, 4616, 729, 476, 4200, 273, 278, 717, 2662, 267, 1818, 519, 3328, 5993, 829, 21027, 1379, 4616, 476, 26839, 275, 737, 2662, 269, 901, 1797, 602, 519, 3328, 15751, 534, 27499, 827, 476, 1220, 737, 2662, 829, 3923, 269, 2659, 2123, 1379, 4616, 949, 4268, 267, 2705, 267, 4470, 593, 519, 2188, 7396, 1657, 563, 30182, 5201, 4616, 849, 9775, 4470, 593, 707, 2777, 1826, 269, 1280, 1383, 912, 268, 634, 3328, 5201, 4616, 585, 513, 2582, 1033, 3737, 1753, 630, 5197, 271, 10264, 273, 264, 568, 476, 279, 3066, 273, 737, 2662, 829, 1032, 267, 610, 827, 476, 7597, 272, 737, 2662, 829, 3923, 454, 268, 1323, 3328, 598, 4777, 630, 12671, 476, 14530, 271, 10264, 273, 264, 27499, 827, 476, 10384, 279, 737, 2662, 12422, 267, 610, 827, 476, 6812, 275, 737, 2662, 513, 3923, 454, 268, 634, 3328, 1379, 4616, 585, 606, 19887, 630, 8517, 10264, 273, 264, 568, 476, 28147, 277, 737, 2662, 829, 1032, 267, 799, 568, 827, 476, 24783, 737, 2662, 829, 3923, 454, 13425, 856, 938, 7778, 540, 3328, 1379, 4616, 676, 1753, 1826, 547, 1451, 811, 827, 875, 1454, 707, 1753, 27499, 829, 10264, 273, 543, 922, 3790, 563, 24280, 2659, 6052, 29283, 454, 2791, 666, 5173, 707, 1379, 4616, 1759, 593, 519, 2450, 540, 707, 1753, 538, 938, 2376, 827, 1942, 540, 5201, 829, 4009, 3723, 269, 15439, 9062, 519, 737, 2662, 270, 1111, 273, 1871, 7222, 547, 707, 1753, 2450, 676, 519, 4009, 22089, 540, 707, 1753, 2336, 30182, 15751, 534, 7622, 4616, 814, 2799, 5594, 936, 519, 2250, 4557, 1296, 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 ]
[ 610, 2606, 2453, 269, 3399, 1603, 519, 1543, 2047, 269, 0, 3848, 476, 1015, 281, 1744, 1136, 12085, 5455, 910, 4197, 32495, 1389, 543, 1530, 1143, 5505, 692, 5970, 596, 2479, 5433, 519, 2666, 21199, 9944, 707, 3952, 286, 9320, 621, 729, 1175, 513, 1507, 12152, 528, 267, 610, 5310, 621, 729, 513, 2407, 1532, 31500, 13091, 256, 3143, 2339, 875, 2462, 610, 1507, 267, 891, 24373, 2621, 7618, 721, 602, 938, 4541, 568, 9800, 543, 7683, 4657, 269, 1809, 1018, 3123, 971, 3532, 5322, 1369, 519, 3047, 286, 2334, 781, 1141, 17688, 1108, 2501, 538, 2439, 3383, 267, 1548, 568, 1530, 1143, 1108, 888, 10900, 692, 5331, 1373, 513, 19792, 945, 31758, 13655, 2620, 3330, 519, 3047, 269, 1306, 513, 17688, 6048, 267, 602, 781, 4010, 1018, 596, 798, 256, 1530, 1143, 1108, 568, 519, 3621, 1353, 540, 16767, 543, 824, 21513, 630, 10193, 1572, 6329, 264, 602, 2951, 998, 519, 3047, 269, 1635, 6313, 891, 6329, 267, 17688, 5505, 666, 1451, 827, 519, 3047, 781, 9703, 543, 10625, 11580, 3297, 16767, 780, 24618, 638, 1389, 19732, 523, 2353, 519, 5384, 2336, 28598, 12441, 596, 917, 972, 616, 5215, 540, 6263, 16767, 8345, 1472, 519, 1158, 1142, 1554, 286, 4107, 540, 873, 979, 29462, 1317, 789, 2049, 2484, 2630, 519, 2627, 610, 723, 1360, 4617, 24373, 269, 1717, 267, 950, 3677, 844, 1389, 10880, 2282, 20651, 2127, 267, 741, 2360, 666, 581, 14042, 269, 901, 8711, 1946, 1620, 16767, 543, 1565, 2081, 547, 3589, 873, 568, 865, 1271, 2439, 1692, 6496, 519, 3047, 2372, 820, 888, 10900, 7042, 28308, 1524, 267, 896, 519, 3047, 781, 12933, 267, 972, 616, 5458, 10824, 7444, 3001, 2250, 835, 1776, 269, 1879, 1079, 540, 891, 29684, 10824, 1205, 12758, 543, 1287, 10393, 2736, 1863, 267, 1648, 4991, 5950, 543, 15920, 8710, 30335, 678, 2089, 1782, 2066, 519, 8608, 269, 8409, 8710, 30335, 616, 1018, 649, 1289, 16767, 2439, 763, 10020, 540, 1530, 1143, 21106, 454, 2411, 15365, 2414, 3713, 543, 2594, 16767, 267, 17688, 5505, 946, 2027, 7405, 1634, 607, 17688, 18852, 610, 17688, 21106, 269, 1452, 3457, 2268, 519, 5163, 540, 519, 2666, 1282, 606, 13091, 676, 5373, 3515, 593, 1957, 610, 13936, 1239, 25274, 269, 3962, 530, 24513, 548, 593, 519, 10916, 4564, 1114, 2010, 540, 20381, 6329, 10707, 998, 519, 3047, 269, 12207, 5659, 1346, 5951, 3270, 547, 12398, 519, 12473, 10938, 1107, 519, 1448, 1318, 1657, 1141, 519, 13091, 3323, 2439, 3963, 9701, 1284, 5530, 1530, 1143, 1108, 888, 10900, 19567, 8139, 16767, 2337, 3744, 1711, 1732, 2038, 9963, 1949, 267, 1544, 10930, 2679, 6272, 267, 543, 1256, 3605, 6456, 16782, 18284, 519, 3047, 781, 2627, 269, 9578, 267, 4952, 2348, 513, 2816, 1141, 596, 948, 2149, 1004, 543, 2950, 1247, 6061, 4241, 13410, 827, 938, 6422, 4541, 256, 1215, 3579, 1131, 602, 581, 2496, 3086, 1411, 8347, 898, 2336, 1366, 15365, 13914, 1394, 547, 1022, 942, 596, 949, 723, 4810, 24373, 1813, 547, 606, 13091, 610, 1945, 2147, 269, 5994, 596, 941, 513, 17688, 6048, 3843, 547, 1174, 811, 827, 621, 269, 808, 582, 1524, 930, 2055, 596, 1522, 2307, 3054, 267, 899, 281, 7316, 1705, 519, 24373, 1376, 286, 1215, 2178, 729, 519, 24373, 286, 2052, 594, 1265, 856, 811, 1344, 827, 713, 2680, 547, 2671, 609, 1866, 286, 5556, 17894, 256, 1411, 4312, 3144, 707, 1101, 1900, 4724, 4742, 513, 17688, 6048, 2439, 1103, 519, 1985, 3184, 267, 1577, 781, 4685, 4514, 883, 519, 6418, 25029, 540, 22747, 1107, 535, 30711, 10239, 602, 3142, 1272, 543, 5898, 547, 938, 2479, 19145, 4541, 256, 0, 2080, 568, 606, 1349, 689, 513, 2546, 912, 30948, 568, 1530, 1143, 1108, 454, 5353, 1143, 1108, 538, 519, 14724, 2474, 568, 3989, 607, 519, 1353, 540, 16767, 269, 769, 519, 1459, 8648, 267, 13120, 568, 2921, 936, 1169, 5823, 6385, 269, 1677, 1184, 602, 13120, 883, 606, 10661, 267, 649, 616, 2047, 610, 18549, 2921, 909, 543, 3351, 2358, 519, 11606, 540, 2067, 2200, 269, 1452, 2067, 2200, 616, 3908, 538, 2470, 543, 616, 3808, 547, 632, 10968, 269, 6884, 713, 2898, 1347, 1228, 7519, 338, 519, 3666, 540, 519, 3047, 781, 5790, 543, 2164, 538, 9259, 899, 16767, 563, 5353, 1143, 1108, 568, 602, 7936, 540, 2520, 2684, 12695, 799, 568, 7255, 609, 3388, 1644, 547, 16767, 267, 1519, 922, 2014, 267, 6604, 267, 5169, 267, 21987, 3092, 269, 623, 2720, 5224, 513, 4876, 856, 540, 17688, 1108, 786, 711, 1152, 581, 6225, 547, 1053, 855, 849, 3565, 513, 1390, 4308, 538, 519, 1382, 14487, 547, 21264, 267, 18783, 543, 267, 2268, 519, 1764, 540, 606, 13091, 563, 1607, 6571, 786, 581, 3730, 538, 10451, 513, 5827, 22190, 25209, 547, 13091, 9113, 2700, 2853, 269, 4841, 16462, 547, 1491, 909, 513, 4876, 538, 17688, 860, 3010, 2237, 606, 2502, 543, 3015, 1576, 1770, 538, 513, 1837, 585, 1647, 1153, 1053, 1644, 547, 519, 1349, 1657, 267, 2519, 593, 834, 5353, 1143, 1108, 257, 607, 851, 540, 834, 2793, 307, 13543, 1315, 32495, 1389, 1299, 26439, 3996, 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, 6092, 5149, 281, 24531, 519, 26812, 3215, 2622, 540, 23202, 1845, 543, 9576, 1399, 692, 8893, 476, 272, 281, 4197, 519, 10417, 540, 513, 23202, 787, 692, 5970, 596, 2479, 9289, 1141, 707, 5172, 16152, 616, 6854, 1354, 789, 1439, 909, 593, 707, 10051, 4831, 286, 2107, 5310, 596, 4312, 11432, 1229, 827, 519, 1655, 1259, 547, 10891, 707, 27574, 5370, 543, 14546, 286, 4270, 267, 972, 781, 513, 2027, 1747, 538, 1169, 2777, 602, 568, 2966, 1175, 585, 602, 3483, 256, 898, 781, 1572, 513, 20562, 787, 269, 589, 20562, 787, 568, 513, 4055, 610, 513, 4859, 1858, 1141, 1426, 3688, 267, 971, 607, 9274, 267, 27574, 5370, 267, 14546, 267, 543, 824, 1875, 12656, 880, 1963, 616, 6740, 269, 1411, 1522, 1256, 723, 513, 1507, 20562, 787, 1318, 3330, 707, 1378, 10051, 2439, 9961, 1686, 267, 20562, 1845, 723, 7960, 3648, 1759, 593, 1004, 781, 2115, 543, 2139, 2200, 269, 769, 2025, 523, 2053, 267, 20562, 1845, 941, 1031, 547, 4558, 2892, 1540, 16469, 543, 12015, 5613, 2094, 12104, 3130, 7012, 1405, 2943, 11827, 269, 27009, 267, 2413, 20562, 1845, 2097, 9280, 609, 21684, 267, 2721, 619, 267, 543, 3006, 1256, 3710, 2987, 14233, 899, 9174, 3579, 619, 610, 8337, 9065, 839, 269, 1358, 1683, 721, 609, 2653, 1569, 547, 938, 5986, 30304, 1247, 5329, 873, 6896, 543, 4195, 780, 12244, 281, 2913, 781, 2263, 938, 1360, 1378, 20562, 787, 693, 1753, 256, 6875, 4063, 540, 782, 519, 1114, 2010, 540, 1426, 3688, 596, 1294, 972, 269, 3657, 1022, 540, 891, 3536, 12873, 998, 2892, 1154, 267, 15018, 267, 610, 666, 940, 286, 1215, 1131, 2348, 630, 528, 711, 2348, 264, 513, 1134, 3613, 18088, 20562, 787, 1860, 2576, 781, 3232, 1272, 2496, 8893, 476, 273, 281, 661, 32642, 540, 589, 10181, 12578, 1107, 589, 3816, 1046, 762, 10348, 543, 4173, 11146, 585, 24410, 21112, 2293, 692, 5331, 1373, 9310, 7466, 547, 15438, 945, 12199, 936, 5318, 11182, 1282, 10120, 2053, 269, 2334, 729, 519, 9058, 1272, 3366, 676, 661, 32642, 540, 589, 10181, 12578, 267, 15596, 931, 677, 1312, 540, 5333, 543, 4789, 538, 519, 1000, 27097, 2540, 269, 3502, 1152, 1705, 1352, 3180, 1713, 1379, 1813, 547, 1200, 22888, 267, 855, 1352, 849, 5129, 513, 2629, 1909, 538, 5009, 2528, 2066, 2342, 269, 2290, 2460, 540, 713, 2686, 3310, 3357, 538, 519, 1106, 540, 5538, 21112, 2293, 780, 307, 709, 21112, 2293, 941, 10707, 15023, 543, 12372, 689, 7013, 5333, 945, 31025, 11509, 8964, 827, 669, 2526, 787, 267, 8956, 267, 543, 5480, 569, 2648, 269, 1452, 22407, 7494, 4300, 4705, 547, 661, 32642, 781, 10427, 16919, 267, 3056, 1200, 547, 1831, 741, 7887, 19121, 612, 269, 2701, 9415, 741, 26274, 2429, 1200, 11890, 267, 4543, 3262, 741, 2575, 543, 2984, 2484, 543, 2647, 780, 12244, 281, 1284, 949, 711, 2661, 538, 10120, 2053, 267, 855, 649, 1869, 2972, 6947, 547, 2575, 543, 6217, 2984, 2221, 269, 6056, 827, 930, 540, 707, 5172, 5159, 543, 1650, 339, 25527, 269, 1548, 2306, 741, 960, 13267, 547, 596, 286, 3503, 1524, 1614, 7907, 602, 4482, 596, 547, 741, 13144, 780, 8269, 3005, 281, 10289, 519, 1158, 540, 20562, 1845, 543, 10424, 5515, 899, 661, 32642, 540, 589, 10181, 12578, 2636, 721, 547, 5660, 519, 17381, 540, 1480, 1686, 269, 3245, 1620, 4052, 2035, 899, 12180, 2230, 7561, 547, 14952, 532, 693, 9565, 3401, 945, 8032, 4529, 267, 18167, 4514, 883, 3584, 27862, 938, 2729, 543, 3376, 839, 938, 5380, 269, 0, 2080, 568, 606, 1349, 689, 513, 2546, 912, 257, 9349, 700, 1478, 8249, 267, 31876, 585, 19536, 543, 23255, 454, 347, 12709, 1315, 5769, 454, 8368, 540, 12937, 454, 763, 23202, 787, 281, 4706, 3778, 543, 7073, 21964, 454, 290, 15811, 1530, 9200, 1782, 623, 1180, 454, 294, 756, 2125, 8055, 267, 21629, 454, 26213, 476, 5780, 278, 267, 20233, 2023, 267, 29031, 476, 279, 2412, 6078, 454, 16318, 11740, 21916, 276, 1269, 1626, 269, 4817, 8940, 3052, 756, 2125, 1606, 19431, 2593, 454, 7197, 2835, 593, 20562, 1845, 1445, 593, 741, 9115, 281, 875, 547, 1628, 909, 20562, 787, 6006, 543, 3434, 609, 621, 910, 855, 713, 568, 1114, 267, 8720, 519, 2168, 4720, 543, 1646, 540, 519, 20562, 787, 543, 3246, 513, 11100, 540, 1686, 543, 1974, 8100, 1739, 922, 1585, 3889, 269, 5851, 14935, 5461, 538, 556, 1673, 21749, 606, 4540, 20562, 787, 267, 4946, 835, 267, 610, 6220, 513, 20562, 787, 883, 513, 1007, 1374, 6368, 723, 513, 1433, 13991, 7357, 547, 519, 1888, 267, 4904, 609, 2681, 6337, 543, 20562, 787, 3270, 269, 26888, 23695, 547, 21427, 543, 1753, 26767, 786, 1265, 621, 513, 2442, 4584, 563, 292, 32642, 540, 589, 10181, 12578, 281, 10348, 540, 519, 24410, 21112, 2293, 454, 3080, 5244, 9335, 267, 29157, 3122, 267, 966, 307, 476, 4962, 278, 6858, 454, 14689, 5325, 278, 4198, 273, 267, 1269, 1626, 269, 4817, 8940, 269, 4883, 1068, 571, 1885, 2593, 454, 292, 32642, 540, 589, 10181, 12578, 814, 1044, 7074, 585, 1200, 2797, 10781, 910, 586, 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, 3848, 476, 277, 281, 29661, 543, 6355, 342, 1580, 910, 27505, 619, 540, 18776, 692, 1103, 519, 6422, 7706, 540, 1870, 267, 972, 6818, 513, 2027, 9742, 540, 2043, 945, 4161, 519, 4567, 28943, 267, 695, 2660, 4837, 2781, 559, 902, 267, 543, 28196, 710, 1018, 621, 1797, 547, 581, 3811, 269, 1452, 13009, 4565, 5074, 11639, 543, 1870, 342, 1580, 4865, 606, 967, 558, 3386, 6891, 267, 796, 344, 1752, 532, 8990, 267, 543, 513, 2189, 5075, 602, 5036, 873, 6306, 689, 741, 9905, 269, 901, 3184, 12538, 883, 519, 4241, 1158, 540, 891, 11108, 2021, 267, 3695, 741, 15322, 267, 29217, 267, 543, 519, 9434, 5222, 789, 723, 2451, 593, 2486, 269, 3414, 606, 6514, 540, 3140, 543, 4207, 5515, 267, 713, 3184, 19286, 919, 519, 16221, 2081, 538, 799, 20835, 543, 1870, 1035, 18210, 4196, 607, 14984, 4229, 585, 1689, 267, 16882, 267, 543, 3356, 780, 296, 269, 634, 19606, 540, 7073, 21058, 29661, 1222, 692, 763, 3045, 1023, 540, 1686, 7866, 3875, 8320, 1141, 703, 516, 3671, 2021, 546, 1563, 547, 1219, 344, 6848, 8155, 543, 6788, 676, 5887, 1005, 883, 519, 5256, 26730, 3990, 12106, 540, 16450, 269, 3245, 3504, 2053, 547, 519, 1459, 1554, 267, 4775, 11639, 543, 1870, 3401, 723, 9846, 7152, 741, 2702, 547 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 2698, 942, 780, 10490, 2071, 17726, 264, 815, 630, 13707, 667, 8780, 23814, 264, 21680, 630, 13707, 5384, 2020, 7078, 476, 272, 281, 1403, 513, 1268, 15336, 476, 1911, 544, 538, 513, 2786, 1899, 538, 476, 273, 1295, 267, 741, 3328, 3432, 1131, 581, 630, 1911, 544, 264, 21680, 630, 273, 1295, 264, 815, 476, 2004, 544, 26553, 780, 2252, 519, 1482, 1268, 15336, 476, 2568, 544, 1496, 324, 770, 316, 1287, 476, 2412, 544, 1496, 8054, 316, 538, 476, 273, 3764, 267, 741, 3328, 3432, 1131, 1869, 581, 630, 2568, 1341, 476, 2412, 264, 21680, 476, 273, 815, 476, 1911, 21680, 476, 273, 815, 476, 2004, 1109, 544, 26553, 780, 2162, 20653, 6290, 692, 309, 601, 6290, 568, 513, 6152, 269, 5637, 7274, 543, 4287, 1590, 581, 7150, 269, 898, 513, 1286, 814, 513, 6991, 540, 476, 8099, 14790, 10774, 5087, 267, 543, 513, 2034, 1286, 814, 513, 6991, 540, 476, 8099, 14790, 10774, 5045, 267, 519, 1079, 6517, 786, 723, 1482, 3432, 855, 1114, 29702, 269, 1879, 649, 6218, 519, 6991, 540, 606, 1843, 267, 649, 1590, 1832, 3950, 540, 4287, 269, 634, 3328, 6991, 568, 3989, 607, 519, 2698, 20591, 12195, 3722, 30121, 5258, 676, 519, 2698, 942, 780, 10490, 2071, 20653, 6290, 264, 815, 20591, 12195, 3722, 30121, 21680, 630, 13707, 5384, 2020, 7078, 476, 273, 281, 1403, 519, 1482, 1268, 540, 1383, 476, 272, 15336, 476, 2568, 544, 1496, 324, 770, 316, 1287, 476, 2412, 544, 1496, 8054, 316, 538, 476, 273, 3764, 267, 741, 3328, 3432, 1131, 1869, 581, 630, 2568, 1341, 476, 2412, 264, 383, 371, 273, 815, 476, 1911, 383, 371, 273, 815, 476, 2004, 544, 26553, 267, 855, 741, 3328, 6991, 1131, 581, 630, 2568, 910, 476, 2412, 264, 21680, 476, 273, 815, 476, 736, 21680, 476, 273, 815, 476, 1015, 544, 26553, 780, 1012, 12726, 3432, 22062, 687, 692, 2162, 2598, 25068, 692, 4407, 1169, 4674, 568, 1500, 547, 2327, 519, 6111, 540, 519, 1344, 3177, 593, 713, 3896, 267, 649, 2709, 1100, 15549, 625, 538, 6935, 547, 891, 1217, 725, 269, 0, 1012, 13628, 267, 2904, 476, 273, 267, 476, 1001, 274, 692, 2162, 2657, 630, 514, 4000, 264, 476, 273, 3687, 2373, 547, 5269, 513, 16338, 692, 3528, 16840, 540, 476, 279, 268, 1626, 281, 4793, 878, 807, 30954, 22222, 267, 808, 11047, 710, 13056, 27376, 267, 3057, 1723, 2997, 3796, 267, 1234, 2096, 601, 661, 2224, 321, 1470, 692, 1012, 14349, 267, 4989, 476, 736, 267, 476, 1001, 274, 692, 2162, 8355, 625, 320, 781, 4569, 9977, 13658, 692, 17138, 2878, 1262, 262, 338, 4569, 9977, 13658, 5403, 780, 2080, 616, 519, 2055, 780, 30681, 8255, 476, 1220, 544, 538, 476, 1789, 338, 1247, 1010, 11078, 5345, 320, 8255, 476, 4968, 544, 538, 476, 3607, 338, 563, 1892, 5808, 568, 519, 5488, 27460, 286, 11512, 875, 596, 666, 2995, 563, 1892, 2311, 519, 1482, 2557, 267, 875, 2484, 786, 1142, 27460, 979, 538, 476, 273, 3764, 2496, 288, 17919, 568, 593, 9042, 585, 476, 1015, 260, 1055, 519, 1976, 1308, 3902, 540, 8096, 22213, 269, 950, 621, 1281, 711, 6133, 267, 519, 4558, 6971, 519, 9042, 3902, 676, 1776, 476, 276, 10065, 1109, 1548, 568, 519, 3803, 3902, 540, 519, 17919, 2496, 306, 16577, 9351, 454, 24280, 519, 17183, 9351, 540, 519, 2121, 2630, 780, 293, 10330, 630, 21010, 547, 707, 26271, 2480, 1026, 788, 739, 994, 2419, 611, 15055, 547, 3548, 26006, 18474, 585, 14254, 1169, 1554, 269, 1109, 1261, 22655, 476, 274, 270, 275, 540, 513, 4216, 829, 3018, 563, 1892, 1215, 1454, 540, 519, 4216, 1281, 646, 3548, 1142, 1554, 888, 1892, 1215, 1082, 10833, 540, 26006, 18474, 1281, 646, 3548, 1142, 1032, 888, 31580, 17817, 14572, 263, 21010, 547, 707, 10789, 1133, 2889, 915, 2020, 1012, 13628, 267, 4989, 476, 1240, 267, 476, 1001, 274, 692, 2162, 4793, 878, 807, 681, 781, 4569, 9977, 13658, 692, 2080, 616, 519, 2055, 780, 305, 26559, 15580, 1160, 15251, 630, 3682, 15251, 5403, 994, 30681, 454, 30681, 8255, 476, 1220, 544, 538, 476, 1789, 338, 1247, 1010, 11078, 5345, 320, 8255, 476, 4968, 544, 538, 476, 3607, 338, 563, 1892, 5808, 568, 519, 5488, 27460, 286, 11512, 875, 596, 666, 2995, 563, 1892, 2311, 519, 1482, 2557, 267, 875, 2484, 786, 1142, 27460, 979, 538, 476, 273, 3764, 2496, 8110, 1417, 1109, 263, 8110, 1417, 2480, 1026, 788, 739, 994, 288, 17919, 568, 593, 9042, 585, 476, 1015, 260, 1055, 519, 1976, 1308, 3902, 540, 8096, 22213, 950, 621, 1281, 711, 6133, 267, 519, 4558, 6971, 519, 9042, 3902, 676, 1776, 476, 276, 10065, 1109, 1548, 568, 519, 3803, 3902, 540, 519, 17919, 2496, 306, 16577, 9351, 454, 24280, 519, 17183, 9351, 540, 519, 2121, 2630, 780, 293, 10330, 630, 293, 3555, 2480, 1026, 788, 739, 994, 2419, 611, 15055, 547, 3548, 26006, 18474, 585, 14254, 1169, 1554, 269, 1109, 1261, 22655, 476, 274, 270, 275, 540, 513, 4216, 829, 3018, 780, 1892, 1215, 1454, 540, 519, 4216, 1281, 646, 3548, 1142, 1554, 888, 1892, 1215, 1082, 10833, 540, 26006, 18474, 1281, 646, 3548, 1142, 1032, 888, 31580, 17817, 14572, 10797, 1012, 13723, 267, 4989, 476, 1704, 267, 476, 1001, 274, 692, 2162, 1744, 2967, 571, 781, 4569, 9977, 13658, 5403, 692, 2080, 616, 519, 2055, 780, 305, 26559, 15580, 1160, 15251, 454, 30681, 8255, 476, 1220, 544, 538, 476, 1789, 338, 1247, 1010, 11078, 5345, 320, 8255, 476, 4968, 544, 538, 476, 3607, 338, 563, 1892, 5808, 568, 519, 5488, 27460, 286, 11512, 875, 596, 666, 2995, 563, 1892, 2311, 519, 1482, 2557, 267, 875, 2484, 786, 1142, 27460, 979, 538, 476, 273, 3764, 2496, 8110, 1417, 454, 288, 17919, 568, 593, 9042, 585, 476, 1015, 260, 1055, 519, 1976, 1308, 3902, 540, 8096, 22213, 269, 950, 621, 1281, 711, 6133, 267, 519, 4558, 6971, 519, 9042, 3902, 676, 1776, 476, 276, 10065, 1109, 1548, 568, 519, 3803, 3902, 540, 519, 17919, 2496, 306, 16577, 9351, 454, 24280, 519, 17183, 9351, 540, 519, 2121, 2630, 780, 293, 10330, 630, 4537, 2967, 571, 781, 26271, 2480, 1026, 788, 739, 994, 2419, 611, 15055, 547, 3548, 26006, 18474, 585, 14254, 1169, 1554, 269, 1109, 1261, 22655, 476, 274, 270, 275, 540, 513, 4216, 829, 3018, 563, 1892, 1215, 1454, 540, 519, 4216, 1281, 646, 3548, 1142, 1554, 888, 1892, 1215, 1082, 10833, 540, 26006, 18474, 1281, 646, 3548, 1142, 1032, 888, 31580, 17817, 14572, 1109, 263, 4537, 2967, 571, 781, 10789, 1133, 2889, 915, 2020, 2162, 3057, 1723, 781, 4569, 9977, 13658, 5403, 692, 2080, 616, 519, 2055, 780, 305, 26559, 15580, 1160, 15251, 3057, 1723, 781, 1160, 15251, 5403, 454, 30681, 8255, 476, 1220, 544, 538, 476, 1789, 338, 1247, 1010, 11078, 5345, 320, 8255, 476, 4968, 544, 538, 476, 3607, 338, 780, 1892, 5808, 568, 519, 5488, 27460, 286, 11512, 875, 596, 666, 2995, 563, 1892, 2311, 519, 1482, 2557, 267, 875, 2484, 786, 1142, 27460, 979, 538, 476, 273, 3764, 2496, 8110, 1417, 454, 288, 17919, 568, 593, 9042, 585, 476, 1015, 260, 1055, 519, 1976, 1308, 3902, 540, 8096, 22213, 269, 950, 621, 1281, 711, 6133, 267, 519, 4558, 6971, 519, 9042, 3902, 676, 1776, 476, 276, 10065, 1109, 1548, 568, 519, 3803, 3902, 540, 519, 17919, 2496, 306, 16577, 9351, 454, 24280, 519, 17183, 9351, 540, 519, 2121, 2630, 780, 293, 10330, 3057, 1723, 781, 26271, 2480, 1026, 788, 739, 454, 2419, 611, 15055, 547, 3548, 26006, 18474, 585, 14254, 1169, 1554, 269, 1109, 1261, 22655, 476, 274, 270, 275, 540, 513, 4216, 829, 3018, 563, 1892, 1215, 1454, 540, 519, 4216, 1281, 646, 3548, 1142, 1554, 888, 1892, 1215, 1082, 10833, 540, 26006, 18474, 1281, 646, 3548, 1142, 1032, 888, 31580, 17817, 14572, 3057, 1723, 781, 10789, 1133, 2889, 915, 692, 2162, 1234, 2096, 601, 781, 4569, 9977, 13658, 5403, 692, 2080, 616, 519, 2055, 780, 305, 26559, 15580, 1160, 15251, 454, 30681, 8255, 476, 1220, 544, 538, 476, 1789, 338, 1247, 1010, 11078, 5345, 320, 8255, 476, 4968, 544, 538, 476, 3607, 338, 780, 1892, 5808, 568, 519, 5488, 27460, 286, 11512, 875, 596, 666, 2995, 563, 1892, 2311, 519, 1482, 2557, 267, 875, 2484, 786, 1142, 27460, 979, 538, 476, 273, 3764, 2496, 8110, 1417, 454, 288, 17919, 568, 593, 9042, 585, 476, 1015, 260, 1055, 519, 1976, 1308, 3902, 540, 8096, 22213, 269, 950, 621, 1281, 711, 6133, 267, 519, 4558, 6971, 519, 9042, 3902, 676, 1776, 476, 276, 10065, 1109, 1548, 568, 519, 3803, 3902, 540, 519, 17919, 2496, 306, 16577, 9351, 454, 24280, 519, 17183, 9351, 540, 519, 2121, 2630, 780, 293, 10330, 630, 293, 3555, 2480, 1026, 788, 739, 994, 2419, 611, 15055, 547, 3548, 26006, 18474, 585, 14254, 1169, 1554, 269, 1109, 1261, 22655, 476, 274, 270, 275, 540, 513, 4216, 829, 3018, 563, 1892, 1215, 1454, 540, 519, 4216, 1281, 646, 3548, 1142, 1554, 888, 1892, 1215, 1082, 10833, 540, 26006, 18474, 1281, 646, 3548, 1142, 1032, 888, 31580, 17817, 14572, 263, 31580, 1133, 2889, 915, 2020, 2162, 808, 11047, 710, 781, 4569, 9977, 7688, 5403, 692, 2080, 616, 519, 2055, 780, 305, 26559, 15580, 1160, 15251, 454, 30681, 8255, 476, 1220, 544, 538, 476, 1789, 338, 1247, 1010, 11078, 5345, 320, 8255, 476, 4968, 544, 538, 476, 3607, 338, 780, 1892, 5808, 568, 519, 5488, 27460, 286, 11512, 875, 596, 666, 2995, 563, 1892, 2311, 519, 1482, 2557, 267, 875, 2484, 786, 1142, 27460, 979, 538, 476, 273, 3764, 2496, 288, 17919, 568, 593, 9042, 585, 476, 1015, 260, 1055, 519, 1976, 1308, 3902, 540, 8096, 22213, 269, 950, 621, 1281, 711, 6133, 267, 519, 4558, 6971, 519, 9042, 3902, 676, 1776, 476, 276, 10065, 1109, 1548, 568, 519, 3803, 3902, 540, 519, 17919, 2496, 306, 16577, 9351, 454, 24280, 519, 17183, 9351, 540, 519, 2121, 2630, 780, 293, 10330, 630, 21010, 547, 707, 26271, 2480, 1026, 788, 739, 994, 2419, 611, 15055, 547, 3548, 26006, 18474, 585, 14254, 1169, 1554, 269, 1109, 1261, 22655, 476, 274, 270, 275, 540, 513, 4216, 829, 3018, 563, 1892, 1215, 1454, 540, 519, 4216, 1281, 646, 3548, 1142, 1554, 888, 1892, 1215, 1082, 10833, 540, 26006, 18474, 1281, 646, 3548, 1142, 1032, 888, 31580, 17817, 14572, 263, 21010, 547, 707, 10789, 1133, 2889, 915, 2020, 2162, 3627, 781, 4569, 9977, 13658, 692, 2080, 616, 519, 2055, 780, 305, 26559, 15580, 1160, 15251, 1109, 18692, 30681, 8255, 476, 1220, 544, 538, 476, 1789, 338, 1247, 1010, 11078, 5345, 320, 8255, 476, 4968, 544, 538, 476, 3607, 338, 780, 1892, 5808, 568, 519, 5488, 27460, 286, 11512, 875, 596, 666, 2995, 563, 1892, 2311, 519, 1482, 2557, 267, 875, 2484, 786, 1142, 27460, 979, 538, 476, 273, 3764, 2496, 8110, 1417, 454, 288, 17919, 568, 593, 9042, 585, 476, 1015, 260, 1055, 519, 1976, 1308, 3902, 540, 8096, 22213, 269, 950, 621, 1281, 711, 6133, 267, 519, 4558, 6971, 519, 9042, 3902, 676, 1776, 476, 276, 10065, 1109, 1548, 568, 519, 3803, 3902, 540, 519, 17919, 2496, 306, 16577, 9351, 454, 24280, 519, 17183, 9351, 540, 519, 2121, 2630, 780, 293, 10330, 630, 293, 3555, 2480, 11171, 5403, 994, 2419, 611, 15055, 547, 3548, 26006, 18474, 585, 14254, 1169, 1554, 269, 1109, 1261, 22655, 476, 274, 270, 275, 540, 513, 4216, 829, 3018, 563, 1892, 1215, 1454, 540, 519, 4216, 1281, 646, 3548, 1142, 1554, 888, 1892, 1215, 1082, 10833, 540, 26006, 18474, 1281, 646, 3548, 1142, 1032, 888, 31580, 17817, 14572, 630, 31580, 1133, 2889, 915, 2020, 2162, 1019, 690, 334, 781, 4569, 9977, 13658, 5403, 692, 2080, 616, 519, 2055, 780, 305, 26559, 15580, 1160, 15251, 1109, 18692, 30681, 8255, 476, 1220, 544, 538, 476, 1789, 338, 1247, 1010, 11078, 5345, 320, 8255, 476, 4968, 544, 538, 476, 3607, 338, 563, 1892, 5808, 568, 519, 5488, 27460, 286, 11512, 875, 596, 666, 2995, 563, 1892, 2311, 519, 1482, 2557, 267, 875, 2484, 786, 1142, 27460, 979, 538, 476, 273, 3764, 2496, 8110, 1417, 454, 288, 17919, 568, 593, 9042, 585, 476, 1015, 260, 1055, 519, 1976, 1308, 3902, 540, 8096, 22213, 269, 950, 621, 1281, 711, 6133, 267, 519, 4558, 6971, 519, 9042, 3902, 676, 1776, 476, 276, 10065, 1109, 1548, 568, 519, 3803, 3902, 540, 519, 17919, 2496, 306, 16577, 9351, 454, 24280, 519, 17183, 9351, 540, 519, 2121, 2630, 780, 293, 10330, 630, 293, 3555, 2480, 11171, 5403, 994, 2419, 611, 15055, 547, 3548, 26006, 18474, 585, 14254, 1169, 1554, 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 ]
[ 610, 547, 2285, 607, 513, 10516, 585, 12429, 781, 4303, 610, 12624, 781, 4303, 563, 1103, 8050, 543, 538, 1082, 824, 2477, 7446, 519, 3023, 540, 519, 4816, 568, 711, 3656, 267, 602, 568, 1946, 1082, 3237, 18992, 547, 1299, 476, 4375, 282, 2067, 2409, 1299, 476, 4375, 282, 547, 2119, 547, 3310, 519, 4332, 540, 707, 2370, 835, 269, 1684, 596, 1616, 547, 917, 1018, 568, 602, 2442, 4480, 547, 1205, 9176, 609, 513, 8004, 602, 1082, 15185, 946, 286, 634, 2486, 538, 799, 649, 4867, 2661, 814, 4986, 547, 798, 609, 602, 540, 938, 20516, 338, 563, 763, 476, 275, 26310, 539, 18173, 568, 513, 4190, 1453, 781, 1650, 602, 12909, 827, 5876, 543, 9345, 543, 875, 891, 7907, 666, 4688, 1256, 519, 1034, 7294, 3871, 269, 27202, 543, 2189, 1851, 782, 17984, 269, 2060, 476, 275, 12209, 540, 3119, 543, 6281, 4778, 267, 621, 729, 1510, 513, 8969, 519, 1034, 2442, 18173, 563, 763, 11706, 568, 2407, 540, 7389, 547, 2285, 281, 27223, 781, 4303, 267, 8285, 267, 513, 14512, 267, 1453, 781, 1209, 542, 267, 12429, 781, 4303, 267, 12624, 781, 4303, 267, 543, 1256, 267, 1082, 1004, 723, 519, 2245, 540, 4758, 585, 519, 12142, 781, 4303, 1403, 649, 2253, 547, 1039, 909, 1018, 782, 891, 13344, 1942, 721, 689, 938, 7649, 267, 938, 1453, 267, 938, 3237, 267, 2828, 543, 1920, 563, 763, 2110, 535, 762, 634, 631, 823, 6837, 267, 2854, 676, 6341, 534, 773, 2998, 267, 11414, 1453, 602, 621, 568, 1360, 2653, 547, 2097, 909, 609, 543, 15974, 2093, 267, 855, 621, 568, 711, 2141, 607, 2653, 547, 4163, 873, 856, 269, 10374, 535, 1963, 616, 606, 5140, 1259, 540, 23142, 2418, 543, 10752, 547, 938, 1453, 269, 898, 568, 513, 1360, 3730, 1224, 585, 1453, 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 ]
[ 547, 4194, 891, 13655, 2439, 4089, 476, 272, 281, 1548, 1281, 621, 1611, 547, 979, 7508, 2496, 2691, 649, 2161, 2576, 568, 7508, 267, 649, 1611, 789, 723, 20374, 267, 543, 741, 1920, 543, 2828, 1810, 1405, 917, 1141, 789, 616, 610, 952, 789, 616, 2922, 269, 6884, 267, 1004, 1544, 547, 979, 2476, 585, 513, 2110, 942, 855, 7340, 547, 2995, 1866, 269, 1717, 267, 950, 2576, 568, 5963, 7508, 267, 1100, 835, 6487, 1141, 789, 1522, 581, 267, 799, 2306, 4466, 873, 4101, 780, 7078, 281, 5994, 707, 1655, 3659, 3085, 1405, 2097, 1753, 1310, 1153, 835, 1554, 269, 1411, 1289, 1200, 6049, 267, 855, 621, 8952, 30366, 543, 1352, 3085, 1405, 2626, 269, 2701, 4769, 1405, 2995, 596, 1352, 1131, 581, 8854, 267, 865, 1631, 596, 616, 14126, 269, 2659, 3659, 568, 2808, 7508, 2394, 596, 1265, 856, 1018, 5949, 780, 4089, 476, 273, 281, 4208, 798, 1004, 979, 7508, 2496, 2467, 1223, 581, 1082, 4128, 1946, 2576, 16976, 547, 4734, 10393, 610, 4991, 4503, 18417, 269, 2368, 1455, 3123, 1331, 4881, 2476, 689, 2042, 693, 1753, 267, 1373, 32043, 11474, 267, 3478, 4503, 1282, 2951, 267, 7680, 3965, 2530, 267, 610, 1256, 4742, 513, 6408, 540, 6760, 269, 1306, 2123, 22602, 267, 938, 2816, 568, 547, 2015, 782, 7399, 543, 5531, 1344, 547, 948, 721, 1174, 1946, 519, 1268, 2451, 543, 1141, 789, 949, 723, 8854, 780, 7078, 281, 589, 21717, 3957, 16092, 2729, 609, 7453, 3237, 945, 8044, 1419, 269, 2290, 3781, 267, 16092, 24502, 930, 9660, 543, 3762, 513, 4063, 6031, 646, 2115, 2230, 269, 1261, 3217, 1055, 1210, 1857, 6283, 543, 7475, 909, 2484, 689, 1753, 269, 4595, 16092, 9709, 1010, 9101, 267, 646, 3884, 1405, 20248, 7508, 2687, 547, 1876, 11268, 282, 2705, 267, 1317, 646, 781, 513, 5634, 267, 8128, 1869, 1616, 547, 12398, 1864, 547, 2327, 646, 781, 2922, 780, 4089, 476, 274, 281, 1215, 798, 22602, 3406, 585, 7508, 7606, 2496, 20059, 580, 908, 513, 7508, 1268, 3340, 9639, 267, 8990, 267, 543, 5140, 8343, 1983, 269, 1677, 2253, 10478, 267, 22602, 2445, 607, 1454, 1344, 607, 2009, 827, 519, 7508, 1367, 269, 1358, 2911, 547, 1920, 2818, 267, 2828, 267, 32283, 619, 267, 543, 12543, 547, 1451, 811, 827, 519, 1268, 781, 6208, 267, 3347, 267, 5172, 4025, 267, 543, 2487, 2238, 269, 2060, 713, 1344, 267, 22602, 1711, 513, 15415, 540, 2621, 3056, 909, 547, 519, 14897, 766, 780, 9202, 267, 22602, 1413, 585, 10881, 899, 4967, 267, 6835, 267, 5491, 3556, 8852, 267, 610, 1514, 2923, 9708, 602, 1522, 7866, 5363, 3877, 827, 519, 1268, 781, 4087, 610, 15752, 269, 13689, 593, 2139, 2200, 267, 2029, 971, 607, 19025, 267, 9477, 5243, 267, 610, 14015, 12514, 949, 849, 581, 1031, 547, 4228, 519, 3406, 1858, 780, 7661, 267, 22602, 2671, 1344, 609, 2199, 7128, 13623, 543, 824, 8041, 21751, 538, 7508, 1268, 2665, 269, 1635, 23712, 609, 4648, 5001, 267, 972, 781, 513, 1732, 4960, 540, 29466, 519, 7508, 1268, 3533, 543, 9108, 780, 12244, 5384, 281, 23239, 754, 596, 616, 513, 4357, 31375, 3168, 585, 513, 7508, 1362, 22940, 269, 3503, 1524, 1614, 2055, 596, 1131, 2307, 1142, 540, 519, 1739, 1004, 281, 513, 4116, 267, 513, 1668, 9920, 267, 543, 1079, 2673, 2828, 269, 5457, 547, 1589, 827, 1018, 2186, 540, 1344, 1131, 581, 1034, 3730, 538, 4543, 596, 1265, 707, 1362, 22940, 780, 4089, 476, 275, 281, 1879, 568, 513, 7508, 1268, 2013, 6806, 2496, 19013, 267, 3006, 7508, 1268, 2665, 2611, 5667, 9407, 5103, 3573, 7634, 3646, 269, 8191, 885, 2356, 17551, 513, 7508, 1268, 2013, 834, 743, 2216, 257, 950, 2614, 2963, 5267, 519, 1268, 568, 12691, 547, 581, 1336, 9800, 269, 4634, 1287, 267, 3885, 543, 6068, 3283, 3136, 15691, 585, 4267, 267, 543, 1007, 5012, 12212, 10836, 1296, 2663, 780, 2026, 4357, 22602, 267, 621, 781, 1898, 2141, 547, 3314, 602, 1169, 7508, 1268, 6927, 267, 7488, 540, 2085, 267, 6381, 267, 610, 3259, 540, 942, 2094, 789, 4682, 7508, 269, 1284, 1590, 3251, 8149, 547, 5275, 5126, 543, 3246, 19479, 585, 1346, 4299, 676, 891, 2295, 12577, 3871, 780, 6962, 1384, 3086, 596, 917, 811, 827, 7508, 1268, 2665, 543, 875, 22602, 960, 24091, 547, 3142, 4267, 543, 6571, 547, 20494, 1324, 3885, 269, 4014, 891, 3871, 666, 581, 8909, 543, 11566, 267, 1620, 519, 1184, 2337, 721, 5660, 519, 2956, 540, 2792, 267, 4656, 267, 543, 6568, 2509, 1866, 269, 1924, 1985, 942, 596, 4585, 513, 19792, 1397, 610, 1224, 513, 9814, 3209, 10023, 513, 7508, 1915, 267, 1832, 538, 2247, 3388, 602, 4422, 883, 6061, 1483, 3734, 7508, 1268, 2665, 256, 0, 2080, 568, 606, 1349, 689, 513, 2546, 912, 257, 314, 8698, 1510, 10223, 2639, 314, 19530, 762, 21512, 293, 4528, 2639, 1475, 10468, 23018, 27375, 7089, 281, 476, 661, 310, 18449, 476, 6977, 274, 630, 304, 289, 994, 1475, 19111, 3143, 281, 670, 304, 1428, 291, 27888, 5881, 454, 2562, 5990, 670, 26996, 2910, 7838, 307, 5508, 808, 4785, 2316, 4753, 454, 12702, 292, 2894, 24202, 645, 2894, 6224, 667, 4353, 3041, 12778, 454, 1475, 305, 5819, 30271, 540, 10456, 454, 1805, 8681, 267, 5507, 267, 654, 290, 273, 288, 476, 273, 17247, 454, 289, 552, 535, 522, 678, 552, 10778, 17307, 808, 4785, 2316, 4753, 654, 2752, 289, 312, 454, 1475, 12138, 8859, 537, 454, 1475, 268, 543, 24121, 1475, 21837, 632, 6154, 26320, 454, 297, 517, 11936, 4446, 5886, 1299, 717, 969, 848, 632, 8187, 324, 630, 13318, 1192, 539, 676, 12197, 325, 8718, 3738, 585, 519, 28787, 656, 454, 10048, 3241, 645, 2117, 320, 1627, 290, 1299, 27950, 4477, 1889, 630, 13318, 1192, 539, 676, 12390, 1478, 20607, 4521, 264, 585, 519, 4347, 754, 656, 454, 295, 8960, 7389, 281, 476, 1724, 268, 1704, 267, 476, 736, 267, 476, 2420, 4873, 476, 1001, 277, 454, 12487, 7876, 966, 8991, 12778, 5508, 808, 11070, 14875, 7728, 6673, 24165, 309, 3633, 454, 290, 3497, 14645, 9736, 454, 15578, 11404, 27516, 5508, 454, 3725, 10589, 23610, 4282, 454, 23087, 540, 1230, 7501, 593, 454, 1492, 20531, 540, 11059, 12983, 454, 15389, 910, 476, 16318, 454, 26397, 729, 538, 519, 5398, 9314, 454, 14582, 3971, 281, 519, 5013, 454, 26839, 910, 476, 28360, 454, 16031, 10456, 2782, 2421, 912, 268, 634, 23610, 4282, 547, 713, 5391, 601, 2013, 814, 1044, 19038, 569, 4330, 607, 834, 560, 686, 6362, 543, 13249, 8487, 268, 634, 24769, 568, 519, 4651, 540, 519, 3735, 661, 32642, 632, 6154, 26320, 269, 769, 5412, 476, 1001, 273, 15516, 632, 6154, 26320, 1185, 513, 2078, 609, 519, 3409, 656, 267, 6004, 8859, 537, 269, 769, 5130, 476, 1001, 274, 1352, 3010, 2237, 606, 2502, 543, 3015, 1576, 1770, 538, 513, 1837, 585, 1647, 1153, 1053, 1644, 547, 519, 1349, 1657, 267, 2519, 593, 834, 29309, 532, 12287, 27418, 257, 607, 851, 540, 834, 3918, 29052, 9970, 1315, 9608, 1299, 17721, 15766, 725, 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, 4400, 909, 538, 519, 15113, 540, 7977, 267, 972, 2893, 513, 4190, 4884, 3957, 22757, 16114, 262, 17951, 601, 334, 269, 901, 1747, 7012, 1405, 1175, 1022, 8723, 8498, 910, 621, 4371, 513, 7415, 9661, 256, 4658, 1131, 2951, 1390, 9883, 547, 3914, 1934, 269, 4208, 267, 596, 2307, 286, 4270, 267, 2262, 1185, 3262, 2484, 543, 2647, 602, 12142, 7812, 519, 5246, 13370, 2899, 10272, 741, 11537, 21674, 540, 590, 760, 15193, 267, 1318, 3330, 513, 18241, 2370, 13946, 2282, 519, 18137, 256, 2052, 596, 4952, 7487, 606, 4890, 21425, 286, 26272, 2439, 3080, 13566, 1554, 267, 1079, 2828, 3957, 3057, 1723, 543, 12359, 807, 4956, 547, 2263, 891, 32422, 2933, 269, 1306, 789, 6172, 5523, 2362, 883, 519, 10239, 267, 8049, 3057, 1723, 4280, 1010, 3659, 267, 834, 299, 1075, 807, 267, 875, 798, 649, 917, 1919, 2731, 2291, 950, 1100, 835, 666, 1294, 873, 8119, 9741, 1705, 789, 917, 267, 789, 941, 6998, 3833, 519, 3621, 2243, 2439, 299, 1075, 807, 11432, 1229, 1200, 15931, 13959, 781, 13214, 1354, 16460, 267, 834, 11321, 1723, 267, 930, 1919, 1522, 581, 1932, 1507, 267, 1932, 3728, 267, 610, 1256, 15865, 547, 938, 4064, 4805, 269, 2334, 781, 1141, 2645, 2097, 538, 13561, 10590, 2701, 11329, 2509, 519, 5318, 4544, 6607, 1657, 873, 269, 834, 2690, 3236, 267, 2011, 27788, 721, 1765, 933, 666, 1405, 4010, 5905, 610, 1294, 1142, 6263, 9325, 13735, 1472, 267, 2943, 649, 917, 621, 6818, 2094, 649, 1745, 2842, 543, 5873, 4992, 5645, 676, 1346, 5536, 15323, 7661, 267, 8757, 519, 4583, 13946, 267, 3057, 1723, 543, 12359, 807, 1336, 2933, 3068, 3562, 19904, 609, 1686, 269, 1809, 1287, 1586, 267, 782, 789, 4718, 729, 513, 4158, 1309, 591, 333, 267, 14927, 6821, 267, 543, 20224, 15472, 2059, 609, 31300, 1359, 23156, 2775, 269, 3143, 1129, 540, 23109, 9170, 256, 3807, 1287, 267, 12359, 807, 17254, 326, 1194, 267, 22348, 3057, 1723, 267, 834, 296, 7058, 18468, 3884, 1405, 2141, 827, 7487, 282, 3006, 621, 2501, 689, 3972, 532, 1866, 945, 2671, 2984, 899, 891, 3010, 2026, 3781, 8593, 267, 519, 6292, 26731, 1394, 1753, 269, 9282, 25922, 676, 519, 3668, 540, 18477, 13341, 267, 789, 1312, 5433, 5923, 518, 982, 2479, 269, 2991, 782, 267, 15819, 267, 3695, 267, 543, 1565, 1927, 5280, 10625, 13655, 6456, 9944, 4948, 24738, 1107, 1818, 1169, 1900, 26656, 269, 1656, 865, 267, 11439, 609, 16012, 7279, 543, 1702, 267, 3057, 1723, 543, 12359, 807, 2968, 15400, 7045, 3464, 5275, 4267, 3564, 1018, 1558, 519, 3750, 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, 7093, 332, 1047, 281, 834, 303, 2075, 1117, 593, 519, 12275, 1146, 334, 15627, 5045, 540, 519, 4104, 267, 22757, 16114, 262, 17951, 601, 334, 729, 513, 2101, 10120, 31145, 4884, 267, 9976, 585, 922, 11359, 10601, 25113, 540, 853, 269, 7812, 538, 513, 575, 8527, 1729, 1141, 519, 2895, 13370, 7902, 547, 519, 21674, 540, 590, 760, 15193, 1614, 2053, 1701, 1403, 713, 23350, 568, 3020, 267, 1018, 1281, 602, 2995, 721, 827, 2436, 621, 14122, 519, 8367, 834, 763, 21705, 5963, 3494, 971, 6811, 267, 855, 811, 26617, 8186, 1589, 519, 21674, 540, 590, 760, 15193, 729, 2901, 513, 561, 3511, 610, 15508, 2192, 1701, 888, 11039, 267, 6653, 773, 267, 1577, 781, 1589, 540, 621, 899, 513, 1650, 269, 634, 1650, 6645, 721, 602, 1279, 3516, 972, 781, 513, 4884, 1572, 22757, 16114, 262, 17951, 601, 334, 1141, 513, 2603, 540, 1004, 1500, 15143, 547, 3643, 1317, 789, 5156, 1945, 2027, 5949, 972, 269, 1358, 1589, 602, 853, 269, 7812, 267, 513, 1360, 1271, 543, 2178, 21425, 267, 7902, 610, 4951, 5128, 547, 519, 21674, 540, 590, 760, 15193, 538, 513, 13946, 1614, 2053, 269, 8528, 3719, 519, 1650, 3085, 1405, 2995, 721, 1018, 1004, 3494, 827, 519, 21674, 610, 952, 789, 2219, 646, 729, 10213, 519, 5168, 610, 711, 269, 2368, 1004, 949, 3494, 519, 21674, 4718, 519, 606, 613, 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, 8702, 547, 938, 3408, 540, 1114, 11964, 538, 5708, 256, 4653 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 288, 2487, 2022, 676, 6182, 3570, 645, 261, 289, 538, 6792, 32708, 539, 1250, 1719, 269, 898, 12286, 513, 533, 4459, 569, 15090, 3774, 4159, 815, 3083, 1518, 331, 17122, 1448, 693, 519, 1439, 540, 835, 540, 519, 16170, 543, 16505, 9724, 781, 9205, 27972, 3563, 23725, 832, 563, 289, 3089, 564, 1592, 645, 261, 289, 1336, 256, 1656, 513, 12576, 547, 1265, 856, 811, 827, 519, 533, 4459, 569, 3486, 979, 902, 540, 519, 3213, 24739, 7578, 2030, 563, 296, 1185, 4862, 513, 1906, 3275, 4505, 267, 4440, 593, 606, 12558, 540, 29972, 5245, 602, 519, 533, 4459, 569, 15090, 3576, 936, 1454, 540, 519, 5251, 538, 8109, 5245, 676, 519, 4571, 476, 736, 628, 2540, 563, 763, 17292, 569, 13428, 11780, 2782, 454, 296, 798, 2648, 513, 3140, 4123, 2112, 1650, 269, 11670, 267, 7554, 543, 8843, 1175, 1810, 1405, 798, 621, 585, 803, 269, 12315, 803, 6070, 267, 4006, 267, 14546, 267, 15555, 267, 7401, 267, 533, 4459, 569, 533, 8986, 269, 1924, 1454, 811, 4277, 563, 288, 667, 6614, 12752, 547, 12603, 1280, 454, 2005, 7140, 856, 519, 1101, 533, 4459, 569, 15090, 2371, 941, 4547, 883, 5245, 547, 1376, 513, 31882, 710, 531, 20004, 2872, 286, 2311, 602, 942, 267, 8050, 1185, 513, 5001, 26771, 593, 519, 1271, 31882, 710, 531, 20004, 2872, 543, 519, 3703, 6554, 729, 16994, 547, 1305, 909, 922, 1378, 2707, 540, 3761, 1369, 519, 12733, 563, 1103, 1346, 2038, 2395, 267, 519, 2699, 20004, 6508, 689, 31882, 710, 531, 7786, 267, 9811, 7786, 267, 941, 1360, 3407, 547, 519, 1158, 779, 12600, 7802, 543, 28630, 4123, 563, 16838, 1118, 741, 1378, 6182, 3570, 3213, 24739, 8759, 267, 610, 3213, 577, 710, 531, 2699, 20004, 267, 609, 519, 667, 716, 2643, 641, 3780, 595, 11484, 639, 3099, 454, 6930, 490, 369, 1341, 9462, 494, 508, 815, 26461, 504, 454, 763, 7199, 267, 2699, 7990, 20922, 5763, 267, 28370, 543, 1379, 269, 898, 729, 267, 585, 1383, 267, 519, 20004, 1031, 693, 602, 942, 547, 7990, 519, 3703, 7980, 685, 2699, 25151, 563, 290, 2194, 664, 14880, 22361, 760, 779, 968, 5575, 18307, 564, 892, 7727, 3769, 513, 4015, 540, 2910, 6224, 12114, 3201, 268, 2562, 293, 12239, 3633, 533, 4459, 569, 15090, 2371, 689, 8478, 543, 824, 4025, 593, 1010, 1259, 547, 3715, 519, 1101, 3043, 11175, 693, 15636, 1415, 7345, 538, 476, 9965, 279, 563, 414, 505, 369, 414, 505, 369, 414, 505, 369, 266, 6930, 490, 369, 6930, 490, 369, 1341, 9462, 494, 508, 454, 288, 1284, 539, 8550, 1284, 17660, 4934, 454, 3719, 676, 476, 4572, 271, 267, 5103, 519, 476, 6642, 277, 623, 4459, 569, 24406, 541, 20121, 2315, 2920, 540, 1715, 3162, 12986, 267, 519, 533, 4459, 569, 15090, 729, 4625, 856, 540, 1852, 267, 15890, 532, 930, 476, 2568, 2929, 14143, 540, 2244, 538, 1715, 3162, 12986, 543, 24368, 269, 898, 729, 6059, 693, 519, 942, 602, 519, 15090, 729, 10825, 693, 519, 2557, 540, 835, 2929, 14143, 829, 1032, 2336, 257, 31304, 17395, 312, 267, 700, 4953, 24202, 19836, 5058, 5442, 27749, 681, 5723, 289, 3951, 306, 9215, 661, 2969, 5990, 645, 17129, 2752, 9169, 30314, 2580, 835, 1360, 5100, 812, 1705, 2161, 950, 513, 476, 276, 267, 1822, 11013, 8007, 729, 6035, 547, 4896, 945, 1223, 1265, 513, 10257, 3070, 547, 519, 23588, 563, 5591, 4898, 533, 4459, 569, 15090, 568, 538, 938, 1686, 2835, 607, 835, 540, 519, 1034, 12362, 18047, 2479, 16865, 883, 5245, 2336, 8601, 6616, 741, 1686, 543, 519, 1249, 602, 789, 616, 1869, 513, 1318, 11641, 538, 4025, 899, 10507, 704, 766, 267, 5375, 5245, 267, 621, 781, 2182, 711, 547, 23507, 891, 21728, 328, 563, 288, 17828, 4414, 454, 13425, 856, 25138, 30215, 5682, 7615, 781, 1433, 834, 288, 17828, 4414, 2580, 12736, 1676, 540, 519, 476, 1220, 277, 623, 2894, 270, 11321, 15925, 1325, 25912, 13815, 585, 3689, 27140, 563, 288, 17828, 4414, 22281, 338, 519, 10477, 1686, 540, 31882, 710, 531, 267, 513, 19416, 2699, 20004, 602, 729, 2899, 835, 540, 519, 1158, 781, 1034, 10475, 21113, 269, 7066, 25979, 676, 519, 3504, 5165, 15092, 267, 31882, 710, 531, 729, 4421, 538, 519, 1390, 25069, 322, 2344, 17541, 267, 1141, 621, 13631, 519, 3007, 540, 519, 5053, 9518, 626, 611, 832, 538, 476, 14681, 280, 563, 4537, 5792, 547, 2342, 267, 519, 20004, 2813, 513, 14815, 267, 6721, 519, 6505, 652, 267, 16999, 2699, 519, 1158, 1185, 2479, 2938, 269, 17652, 8050, 781, 31882, 710, 531, 26771, 729, 4502, 513, 19539, 563, 5327, 704, 622, 547, 1265, 741, 1378, 2959, 540, 519, 21792, 20004, 267, 519, 2296, 267, 3943, 267, 10656, 267, 543, 824, 17417, 6836, 547, 11523, 519, 679, 7950, 540, 31882, 710, 531, 269, 9894, 621, 2097, 689, 513, 21431, 267, 513, 10874, 787, 267, 513, 6079, 286, 16393, 621, 581, 21687, 689, 6792, 543, 1098, 680, 5896, 547, 741, 1378, 10125, 286, 623, 29521, 267, 17701, 267, 620, 17057, 1235, 267, 3744, 267, 543, 838, 625, 1765, 718, 8678, 519, 29677, 585, 31882, 710, 531, 267, 513, 29677, 602, 16768, 811, 982, 1614, 5553, 563, 288, 17828, 4414, 6645, 741, 2984, 1765, 25152, 3734, 8941, 540, 9814, 267, 10504, 267, 543, 7045, 267, 538, 13287, 540, 519, 1034, 14909, 2681, 593, 3618, 563, 288, 17828, 4414, 666, 581, 12349, 998, 3883, 9008, 807, 1934, 610, 676, 17655, 519, 30040, 8943, 2630, 454, 16341, 1913, 22666, 689, 318, 287, 299, 525, 307, 534, 1676, 289, 532, 4673, 910, 3345, 4639, 1284, 2644, 267, 5245, 0, 291, 8543, 568, 513, 12357, 543, 11786, 1426, 2507, 1946, 798, 3425, 8532, 519, 5144, 540, 1776, 2249, 286, 23985, 602, 1100, 824, 2249, 1281, 538, 2470, 1107, 606, 796, 11499, 2623, 269, 1548, 616, 519, 4220, 540, 10438, 513, 1426, 649, 723, 711, 7960, 547, 3548, 286, 1215, 14124, 568, 10683, 267, 1519, 1164, 7779, 10683, 267, 2731, 888, 2414, 1174, 10683, 607, 513, 1426, 2707, 267, 513, 6211, 2070, 666, 2285, 721, 513, 6626, 5133, 563, 2690, 2656, 3988, 454, 291, 8543, 729, 630, 663, 14356, 1869, 568, 264, 513, 6668, 1426, 585, 3425, 267, 711, 606, 12105, 1426, 269, 6736, 519, 5567, 602, 10683, 2488, 267, 519, 2942, 2360, 593, 519, 1560, 1107, 2523, 17441, 18063, 1107, 29387, 519, 2640, 950, 649, 723, 1732, 1426, 3681, 563, 300, 20488, 267, 8645, 267, 543, 10381, 616, 5393, 2442, 3536, 269, 1358, 616, 1634, 547, 2285, 11273, 8286, 513, 27598, 267, 2407, 6492, 610, 519, 19804, 9564, 8137, 269, 22447, 814, 17441, 2188, 602, 13622, 721, 14156, 547, 8532, 621, 267, 799, 2306, 621, 2182, 547, 649, 534, 1055, 267, 12777, 269, 24664, 1176, 267, 1034, 540, 721, 723, 7691, 676, 1631, 602, 519, 5144, 540, 24549, 2803, 568, 711, 513, 1480, 1426, 267, 1256, 952, 938, 2487, 11937, 10057, 621, 563, 5591, 4898, 1082, 1004, 1867, 602, 5969, 856, 10683, 814, 5280, 8207, 5312, 6553, 543, 1072, 2152, 269, 1809, 1018, 827, 6151, 267, 1164, 7779, 5144, 267, 799, 1082, 1995, 1072, 2640, 689, 286, 589, 1249, 649, 3112, 11716, 267, 2901, 269, 634, 2360, 540, 10683, 593, 1072, 4093, 538, 2090, 616, 849, 1419, 711, 5812, 267, 513, 2487, 2689, 2982, 563, 3674, 621, 2731, 1152, 782, 827, 519, 2298, 286, 1772, 6151, 5144, 9985, 5386, 585, 3425, 286, 3245, 513, 2362, 5133, 267, 621, 568, 711, 2336, 3963, 798, 3425, 8532, 10683, 286, 589, 6668, 1650, 7498, 2467, 616, 2318, 543, 2942, 3344, 547, 10683, 267, 799, 649, 666, 1174, 1732, 689, 513, 6211, 2070, 912, 2005, 568, 26837, 4192, 602, 3993, 779, 5144, 689, 1776, 2249, 568, 711, 606, 12105, 1426, 585, 3425, 1107, 711, 513, 5078, 1426, 585, 3425, 269, 898, 568, 711, 938, 2249, 10391, 1426, 269, 1656, 2943, 267, 621, 1281, 723, 9422, 1871, 267, 799, 666, 581, 1031, 607, 513, 6198, 1426, 547, 2232, 19518, 267, 2523, 950, 824, 3681, 616, 711, 2139, 563, 3383, 1577, 779, 1118, 2631, 540, 519, 10539, 281, 667, 8543, 7620, 729, 513, 6668, 1426, 585, 1480, 5095, 17005, 538, 2352, 16374, 269, 16959, 610, 4411, 1979, 2345, 799, 3668, 10731, 10664, 269, 898, 568, 711, 606, 6099, 1426, 267, 855, 621, 568, 3810, 14312, 543, 568, 1259, 1732, 982, 1100, 1426, 693, 782, 610, 547, 7985, 689, 19518, 563, 24109, 753, 616, 1869, 9862, 547, 513, 1164, 1922, 8816, 2732, 899, 782, 3284, 525, 616, 269, 634, 2067, 1480, 2732, 568, 4829, 2861, 269, 4107, 3536, 649, 3548, 538, 2413, 11326, 616, 6668, 3536, 269, 18181, 568, 513, 2686, 9542, 547, 2713, 538, 16374, 602, 616, 711, 5078, 585, 519, 1480, 1560, 269, 1717, 267, 31127, 267, 649, 616, 711, 9862, 547, 11273, 11326, 610, 519, 1082, 3536, 649, 3548, 2221, 563, 3719, 1394, 547, 10683, 281, 3619, 1846, 267, 13265, 267, 16933, 267, 543, 4342, 1564, 616, 2831, 602, 666, 7639, 538, 10792, 5054, 543, 2490, 519, 22302, 1426, 2959, 883, 3810, 14312, 1426, 585, 741, 9002, 2507, 5144, 269, 25613, 16040, 267, 713, 3043, 4154, 729, 606, 5140, 8770, 2707, 538, 2053, 950, 972, 729, 1100, 4244, 563, 4913, 267, 19951, 267, 649, 666, 1569, 865, 1082, 3309, 1426, 2959, 538, 1034, 2694, 540, 519, 1158, 602, 10683, 568, 711, 513, 2635, 3903, 15042, 269, 23883, 950, 519, 2298, 540, 2221, 779, 5144, 568, 24076, 2282, 1018, 621, 729, 896, 811, 2067, 2175, 1354, 22713, 543, 16496, 9960, 2968, 5458, 563, 1432, 779, 3983, 543, 1018, 779, 1434, 827, 10683, 888, 22137, 593, 10683, 2285, 513, 8795, 4605, 267, 4470, 593, 945, 29377, 873, 269, 4329, 267, 519, 2298, 540, 10683, 568, 10355, 630, 6866, 264, 513, 3815, 538, 3621, 9422, 2090, 267, 799, 568, 1946, 621, 779, 2182, 547, 2161, 952, 519, 2164, 4019, 547, 782, 2010, 540, 10683, 269, 1717, 267, 7488, 540, 922, 2298, 267, 972, 616, 930, 2042, 609, 10683, 6923, 269, 1677, 1174, 10683, 607, 513, 1426, 2707, 267, 1577, 779, 1413, 693, 519, 5294, 543, 931, 602, 2097, 609, 1164, 7779, 630, 663, 1256, 6151, 264, 10683, 912, 763, 30299, 281, 667, 8543, 3190, 525, 609, 938, 10399, 454, 291, 8543, 6923, 3568, 10399, 689, 519, 3993, 3662, 912, 10527, 1034, 1271, 10399, 1336, 538, 5144, 543, 824, 10683, 2472, 2507, 4621, 626, 540, 7139, 716, 514, 267, 28335, 1519, 1609, 5766, 839, 267, 1322, 6856, 821, 267, 29416, 6950, 267, 543, 543, 5766, 839, 2507, 7378, 6438, 2208, 3815, 268, 272, 630, 5456, 293, 268, 272, 1070, 543, 2199, 10399, 1519, 14382, 698, 1633, 1231, 1848, 300, 1446, 330, 710, 329, 611, 1299, 1234, 345, 629, 12112, 3333, 267, 476, 1001, 276, 454, 17829, 14984, 32104, 10399, 616, 3742, 538, 3425, 543, 267, 4061, 267, 3190, 609, 938, 10399, 256, 1358, 666, 7988, 2958, 3634, 17441, 543, 23020, 11444, 543, 1291, 547, 14432, 3157, 269, 5606, 19910, 267, 5230, 5712, 267, 2152, 609, 519, 4775, 4783, 267, 543, 1256, 9402, 10408, 2208, 538, 4775, 543, 5256, 10285, 8219, 616, 1175, 513, 1906, 2360, 540, 519, 17441, 968, 28717, 5235, 3034, 2414, 9414, 519, 17441, 1764, 540, 10683, 593, 519, 1480, 1560, 267, 649, 666, 1413, 693, 519, 14915, 622, 11897, 1424, 1198, 602, 10683, 814, 593, 11299, 540, 824, 2249, 281, 538, 3425, 543, 5243, 267, 18506, 666, 581, 1031, 547, 3986, 5144, 2504, 1317, 621, 3568, 7139, 716, 514, 269, 1809, 1018, 1281, 713, 1611, 585, 1875, 2000, 716, 908, 2021, 543, 585, 2367, 888, 763, 3983, 281, 19871, 689, 10683, 666, 2566, 519, 14401, 543, 2014, 606, 15755, 1560, 454, 5194, 2460, 649, 5873, 513, 2603, 538, 11455, 9422, 4485, 568, 602, 10683, 568, 3679, 268, 14127, 1426, 269, 1548, 1281, 713, 1611, 286, 1656, 568, 621, 3020, 286, 8786, 267, 621, 568, 912, 3682, 12888, 11656, 3536, 267, 899, 10683, 267, 3648, 3565, 547, 519, 1560, 779, 3679, 4452, 281, 634, 15059, 540, 8192, 11254, 7408, 2164, 538, 519, 2504, 540, 7408, 267, 1519, 16247, 545, 543, 8485, 7595, 7408, 543, 16139, 1756, 12274, 630, 27848, 4088, 264, 1354, 519, 1560, 608, 4038, 525, 519, 3653, 2472, 269, 634, 14401, 723, 606, 1898, 1909, 538, 14874, 519, 1439, 31475, 21966, 2572, 689, 8192, 5946, 281, 772, 16699, 538, 10729, 568, 519, 3803, 1106, 540, 9436, 585, 608, 17917, 269, 1717, 267, 607, 535, 2607, 643, 2803, 267, 519, 1480, 14401, 723, 711, 7960, 547, 1184, 513, 1164, 3940, 4452, 689, 3662, 2861, 3536, 267, 7429, 2249, 602, 616 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 454, 26611, 23591, 24800, 19841, 341, 9226, 274, 454, 5814, 19523, 692, 258, 3687, 4476, 519, 6207, 3017, 454, 258, 4179, 2517, 4178, 269, 5793, 1613, 4226, 2593, 24579, 21793, 26553, 4476, 7308, 268, 11274, 5193, 1673, 29924, 13045, 16482, 258, 9717, 1614, 15044, 14249, 589, 267, 645, 543, 595, 540, 711, 8209, 1482, 7306, 563, 16482, 258, 12433, 519, 5934, 6207, 3017, 1063, 519, 5021, 543, 5934, 1297, 689, 519, 17784, 339, 513, 267, 536, 267, 524, 454, 258, 971, 602, 513, 267, 536, 267, 524, 12851, 14249, 589, 267, 645, 267, 595, 6606, 563, 16482, 258, 1775, 4318, 269, 7413, 1923, 3193, 5416, 14720, 22698, 264, 910, 1295, 5416, 14720, 22698, 264, 1923, 563, 16482, 258, 7151, 10778, 16482, 258, 18452, 912, 16482, 258, 589, 2433, 1496, 476, 272, 267, 476, 275, 267, 476, 276, 267, 476, 279, 267, 476, 1015, 23378, 258, 645, 2433, 1496, 476, 277, 267, 476, 280, 267, 476, 1428, 23378, 258, 595, 2433, 1496, 476, 273, 267, 476, 274, 267, 476, 277, 267, 476, 277, 23378, 16482, 258, 19243, 912, 16482, 258, 476, 272, 454, 16482, 258, 19247, 281, 1284, 1205, 519, 5934, 3017, 585, 513, 284, 276, 267, 536, 284, 277, 267, 524, 284, 277, 607, 1923, 3193, 5416, 14720, 22698, 264, 910, 1295, 5416, 14720, 22698, 264, 1923, 815, 1923, 277, 268, 276, 347, 815, 476, 272, 563, 16482, 258, 1948, 1948, 1948, 1948, 1948, 1948, 1948, 1948, 1948, 1948, 1948, 1948, 1948, 1948, 1948, 1948, 1948, 1948, 1948, 1948, 1948, 1948, 1948, 1948, 1948, 1948, 1948, 1948, 1948, 1948, 1948, 1948, 1948, 1948, 1948, 1948, 1948, 1948, 1948, 1948, 1948, 1948, 1948, 1948, 1948, 1948, 1948, 1948, 1948, 692, 5035, 8827, 912, 825, 1948, 7711, 12407, 589, 2433, 1592, 540, 9981, 454, 825, 1948, 7711, 12407, 645, 2433, 1592, 540, 9981, 454, 825, 1948, 7711, 12407, 595, 2433, 1592, 540, 9981, 454, 825, 1948, 7711, 8873, 606, 8870, 454, 825, 1219, 4194, 4311, 267, 589, 267, 737, 2187, 1038, 562, 815, 7003, 10490, 994, 1038, 645, 815, 29129, 1038, 645, 815, 15044, 10490, 994, 1038, 2132, 645, 25208, 268, 272, 2639, 1363, 7531, 258, 1948, 1948, 1948, 1948, 1948, 1948, 1948, 1948, 1948, 1948, 1948, 1948, 1948, 1948, 1948, 1948, 1948, 1948, 1948, 1948, 1948, 1948, 1948, 1948, 1948, 1948, 1948, 1948, 1948, 1948, 1948, 1948, 1948, 1948, 1948, 1948, 1948, 1948, 1948, 1948, 1948, 1948, 1948, 1948, 1948, 1948, 1948, 1948, 1948, 692, 604, 6449, 4067, 1029, 2652, 26242, 10852, 28751, 825, 589, 815, 1496, 476, 272, 267, 476, 275, 267, 476, 276, 267, 476, 279, 267, 476, 1015, 23378, 825, 645, 815, 1496, 476, 277, 267, 476, 280, 267, 476, 1428, 23378, 825, 595, 815, 1496, 476, 273, 267, 476, 274, 267, 476, 277, 267, 476, 277, 476, 6540, 825, 521, 815, 8827, 4590, 825, 1820, 4433, 4732, 9876, 10490, 267, 645, 267, 595, 4297, 0, 26611, 23591, 24800, 19841, 341, 9226, 274, 454, 5814, 19523, 692, 258, 10395, 5209, 454, 258, 4179, 2517, 4178, 269, 5793, 1613, 4226, 2593, 24579, 21793, 270, 18474, 5209, 13045, 16482, 258, 9717, 1079, 9981, 562, 543, 737, 267, 2132, 782, 2009, 10659, 540, 737, 2338, 856, 540, 476, 272, 476, 273, 476, 274, 3267, 562, 563, 16482, 258, 5269, 2386, 519, 10659, 616, 15044, 563, 16482, 258, 1677, 14969, 2676, 16482, 258, 10738, 1169, 7127, 267, 2609, 1058, 581, 15044, 269, 1496, 272, 267, 476, 275, 316, 568, 513, 4570, 7127, 1247, 1496, 275, 267, 476, 272, 316, 568, 711, 563, 258, 9980, 1845, 1058, 581, 15044, 1369, 2933, 563, 258, 7151, 10778, 258, 1403, 562, 815, 476, 275, 543, 737, 815, 476, 273, 267, 513, 3070, 568, 912, 16482, 258, 1496, 454, 258, 567, 1496, 272, 267, 273, 16689, 258, 567, 1496, 272, 267, 274, 16689, 258, 567, 1496, 272, 267, 275, 16689, 258, 567, 1496, 273, 267, 274, 16689, 258, 567, 1496, 273, 267, 275, 16689, 258, 567, 1496, 274, 267, 275, 16689, 258, 23378, 16482, 258, 1948, 1948, 1948, 1948, 1948, 1948, 1948, 1948, 1948, 1948, 1948, 1948, 1948, 1948, 1948, 1948, 1948, 1948, 1948, 1948, 1948, 1948, 1948, 1948, 1948, 1948, 1948, 1948, 1948, 1948, 1948, 1948, 1948, 1948, 1948, 1948, 1948, 1948, 1948, 1948, 1948, 1948, 1948, 1948, 1948, 1948, 1948, 1948, 1948, 692, 5035, 8827, 912, 825, 1948, 7711, 12407, 589, 2433, 8870, 454, 825, 1948, 7711, 12407, 645, 2433, 8870, 454, 825, 1948, 7711, 8873, 513, 1592, 540, 1592, 540, 9981, 454, 825, 1219, 9192, 4311, 267, 589, 267, 645, 2187, 672, 453, 1551, 815, 1496, 328, 266, 272, 585, 1775, 538, 2039, 10490, 22708, 672, 453, 258, 2132, 1582, 11519, 18474, 5209, 272, 19906, 267, 1496, 3910, 476, 271, 267, 645, 994, 672, 16596, 1582, 11519, 18474, 5209, 19906, 267, 1496, 3910, 645, 2020, 825, 1219, 9041, 18474, 5209, 272, 4311, 267, 589, 267, 31575, 267, 2451, 267, 737, 2187, 672, 14851, 711, 737, 281, 2132, 1496, 339, 5404, 11468, 316, 6540, 672, 453, 14310, 284, 11713, 672, 22610, 1775, 538, 2039, 263, 3847, 267, 7003, 10490, 15892, 672, 453, 453, 339, 5404, 6910, 10490, 5157, 7481, 672, 453, 453, 14310, 269, 2169, 754, 4311, 11519, 18474, 5209, 272, 10490, 267, 31575, 267, 1775, 266, 272, 267, 737, 268, 272, 4917, 672, 453, 453, 339, 5404, 21014, 10797, 672, 16596, 1267, 692, 825, 1219, 9041, 18474, 5209, 4311, 267, 589, 267, 31575, 267, 737, 2187, 672, 14851, 711, 737, 281, 2132, 1496, 339, 5404, 11468, 316, 6540, 672, 453, 14310, 284, 11713, 672, 22610, 1775, 538, 2039, 12759, 10490, 15892, 672, 453, 453, 339, 5404, 6910, 10490, 5157, 7481, 672, 453, 453, 14310, 269, 2169, 754, 4311, 11519, 18474, 5209, 10490, 5157, 266, 272, 281, 3910, 31575, 267, 737, 268, 272, 4917, 672, 453, 453, 339, 5404, 21014, 10797, 672, 16596, 1267, 692, 258, 1948, 1948, 1948, 1948, 1948, 1948, 1948, 1948, 1948, 1948, 1948, 1948, 1948, 1948, 1948, 1948, 1948, 1948, 1948, 1948, 1948, 1948, 1948, 1948, 1948, 1948, 1948, 1948, 1948, 1948, 1948, 1948, 1948, 1948, 1948, 1948, 1948, 1948, 1948, 1948, 1948, 1948, 1948, 1948, 1948, 1948, 1948, 1948, 1948, 692, 604, 6449, 4067, 1029, 2652, 26242, 10852, 28751, 825, 521, 815, 8827, 4590, 825, 1267, 815, 521, 2593, 321, 710, 263, 276, 267, 476, 274, 994, 825, 1820, 31114, 264, 0, 26611, 23591, 24800, 19841, 341, 9226, 274, 454, 5814, 19523, 692, 258, 4032, 1656, 17166, 454, 258, 4179, 2517, 4178, 269, 5793, 1613, 4226, 2593, 24579, 21793, 11305, 870, 7146, 1606, 599, 13045, 16482, 258, 634, 1293, 7146, 1606, 599, 5311, 568, 519, 5311, 540, 9981, 4098, 607, 5205, 912, 16482, 258, 476, 272, 267, 476, 1556, 267, 476, 2641, 267, 476, 13199, 272, 267, 476, 9340, 21854, 267, 4429, 16482, 258, 476, 272, 568, 1224, 1055, 607, 835, 476, 272, 610, 476, 1556, 563, 258, 476, 1556, 568, 1224, 1055, 607, 1079, 476, 272, 338, 610, 476, 2641, 563, 16482, 258, 476, 2641, 568, 1224, 1055, 607, 835, 476, 273, 267, 1287, 835, 476, 272, 610, 476, 13199, 272, 563, 16482, 258, 9717, 606, 8870, 562, 267, 5352, 519, 32671, 5311, 563, 16482, 258, 8074, 281, 634, 5311, 540, 9981, 786, 581, 6719, 607, 513, 5569, 563, 16482, 258, 7151, 912, 16482, 258, 952, 562, 815, 476, 273, 2676, 258, 519, 5311, 568, 476, 1556, 563, 16482, 258, 1948, 1948, 1948, 1948, 1948, 1948, 1948, 1948, 1948, 1948, 1948, 1948, 1948, 1948, 1948, 1948, 1948, 1948, 1948, 1948, 1948, 1948, 1948, 1948, 1948, 1948, 1948, 1948, 1948, 1948, 1948, 1948, 1948, 1948, 1948, 1948, 1948, 1948, 1948, 1948, 1948, 1948, 1948, 1948, 1948, 1948, 1948, 1948, 1948, 692, 5035, 8827, 1384, 825, 1948, 7711, 12407, 589, 2433, 8870, 454, 825, 1948, 7711, 8873, 513, 12673, 454, 825, 1219, 1293, 4517, 306, 599, 4311, 267, 589, 2187, 1038, 20735, 815, 834, 272, 5016, 1038, 1247, 589, 3436, 476, 272, 912, 2018, 7173, 267, 759, 267, 524, 660, 815, 20735, 314, 271, 3910, 1412, 3299, 476, 271, 454, 2018, 585, 513, 538, 20735, 1384, 3546, 952, 513, 2652, 7173, 912, 7386, 524, 660, 6834, 476, 272, 454, 3546, 3116, 912, 7386, 759, 6834, 834, 346, 2410, 348, 2668, 8971, 6262, 660, 267, 7173, 994, 7386, 524, 660, 815, 476, 272, 692, 3546, 7173, 815, 513, 454, 2018, 20735, 815, 759, 1341, 834, 346, 2410, 348, 2668, 8971, 6262, 660, 267, 7173, 994, 2018, 589, 20699, 476, 272, 692, 1038, 2132, 20735, 7531, 825, 1219, 1293, 318, 663, 5334, 599, 4311, 267, 589, 2187, 672, 453, 14310, 815, 15234, 692, 672, 453, 258, 476, 476, 272, 476, 1556, 454, 672, 453, 258, 476, 1556, 476, 2641, 454, 672, 453, 258, 476, 476, 273, 476, 1321, 454, 672, 453, 258, 476, 272, 267, 476, 1556, 267, 476, 2641, 267, 476, 13199, 272, 267, 476, 9340, 21854, 267, 27250, 672, 14851, 589, 2999, 476, 272, 912, 672, 453, 16596, 15234, 692, 672, 453, 14310, 815, 1412, 272, 28847, 672, 22610, 1775, 538, 2039, 263, 272, 267, 589, 17107, 672, 453, 453, 753, 815, 1412, 7055, 672, 453, 13537, 31114, 994, 672, 453, 453, 329, 815, 476, 271, 692, 672, 453, 453, 6112, 795, 2999, 7003, 31114, 2187, 672, 4848, 14851, 1267, 14728, 316, 2652, 1412, 272, 12466, 672, 15235, 14851, 795, 266, 272, 2999, 7003, 31114, 264, 543, 1267, 14728, 266, 272, 316, 2652, 1412, 272, 12466, 453, 672, 15235, 453, 753, 815, 20735, 1341, 1412, 2641, 7055, 453, 672, 15235, 453, 329, 815, 795, 1341, 476, 272, 454, 453, 672, 4848, 28432, 912, 453, 672, 15235, 453, 753, 815, 20735, 1341, 1412, 1556, 7055, 453, 672, 453, 453, 19197, 1267, 14728, 316, 2652, 1412, 273, 12466, 453, 672, 4848, 453, 753, 815, 20735, 1341, 1412, 1321, 7055, 453, 672, 453, 453, 329, 815, 795, 1341, 476, 272, 692, 672, 453, 453, 14310, 815, 20735, 692, 672, 16596, 1267, 7531, 258, 1948, 1948, 1948, 1948, 1948, 1948, 1948, 1948, 1948, 1948, 1948, 1948, 1948, 1948, 1948, 1948, 1948, 1948, 1948, 1948, 1948, 1948, 1948, 1948, 1948, 1948, 1948, 1948, 1948, 1948, 1948, 1948, 1948, 1948, 1948, 1948, 1948, 1948, 1948, 1948, 1948, 1948, 1948, 1948, 1948, 1948, 1948, 1948, 1948, 692, 604, 6449, 4067, 1029, 2652, 26242, 10852, 28751, 825, 521, 815, 8827, 4590, 825, 1820, 4433, 29644, 4517, 306, 599, 263, 272, 4917, 825, 1820, 4433, 29644, 4517, 306, 599, 263, 273, 4917, 825, 1820, 4433, 29644, 4517, 306, 599, 263, 274, 4917, 825, 1820, 4433, 29644, 4517, 306, 599, 263, 275, 4917, 825, 1820, 4433, 29644, 4517, 306, 599, 263, 276, 4917, 825, 1820, 4433, 29644, 4517, 306, 599, 263, 277, 4917, 825, 1820, 4433, 29644, 4517, 306, 599, 263, 278, 4917, 825, 1948, 2745, 4433, 29644, 318, 663, 5334, 599, 263, 273, 4297, 0, 26611, 23591, 24800, 19841, 341, 9226, 274, 454, 5814, 19523, 692, 258, 7043, 652, 1230, 5913, 5737, 25627, 454, 258, 4179, 2517, 4178, 269, 5793, 1613, 4226, 2593, 24579, 21793, 270, 14075, 652, 8410, 5913, 5737, 268, 30084, 13045, 16482, 258, 9717, 606, 5667, 9285, 5044, 540, 9981, 267, 1265, 519, 3259, 540, 519, 13074, 15654, 2609, 5311, 563, 16482, 258, 7151, 281, 3097, 258, 9717, 1496, 1911, 267, 476, 275, 267, 476, 1220, 267, 476, 272, 267, 476, 274, 267, 476, 273, 16689, 258, 634, 13074, 15654, 2609, 5311, 568, 1496, 272, 267, 476, 273, 267, 476, 274, 267, 476, 275, 4940, 17776, 922, 3259, 281, 476, 275, 563, 16482, 258, 2659, 5690, 1058, 2196, 538, 744, 3799, 264, 6988, 563, 16482, 258, 1948, 1948, 1948, 1948, 1948, 1948, 1948, 1948, 1948, 1948, 1948, 1948, 1948, 1948, 1948, 1948, 1948, 1948, 1948, 1948, 1948, 1948, 1948, 1948, 1948, 1948, 1948, 1948, 1948, 1948, 1948, 1948, 1948, 1948, 1948, 1948, 1948, 1948, 1948, 1948, 1948, 1948, 1948, 1948, 1948, 1948, 1948, 1948, 1948, 692, 5035, 8827, 912, 825, 1948, 7711, 12407, 589, 2433, 24042, 540, 9981, 454, 825, 1948, 7711, 8873, 606, 8870, 454, 825, 1219, 13074, 290, 2945, 322, 5737, 4311, 267, 589, 2187, 1038, 521, 815, 32582, 3097, 1038, 20735, 284, 271, 454, 22322, 825, 1948, 25300, 782, 519, 5044, 2609, 3097, 1038, 585, 552, 538, 589, 281, 3097, 2018, 521, 6910, 16216, 264, 3097, 22322, 825, 1948, 2638, 1142, 2009, 5311, 689, 519, 1376, 3097, 825, 1948, 1287, 9337, 6099, 3259, 3097, 1038, 585, 1775, 538, 2039, 12759, 10490, 264, 2567, 3097, 22322, 1363, 1948, 952, 1699, 3693, 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 ]
[ 676, 27013, 543, 29065, 15628, 538, 6710, 10970, 2747, 855, 713, 1909, 1419, 3357, 896, 9880, 269, 898, 729, 4244, 569, 6069, 602, 606, 27327, 538, 1379, 3889, 30176, 4567, 28943, 949, 1683, 513, 3070, 269, 23420, 23085, 14540, 4161, 31737, 1379, 3889, 607, 1004, 9718, 741, 2924, 5275, 2199, 1852, 543, 16882, 269, 901, 568, 519, 1184, 9031, 568, 2469, 998, 607, 621, 568, 2808, 519, 1152, 8905, 585, 6710, 10970, 2747, 454, 763, 8561, 538, 9031, 328, 2013, 568, 593, 14123, 513, 2146, 779, 3356, 593, 922, 1378, 2474, 269, 898, 568, 1631, 606, 7608, 2070, 602, 2146, 7589, 267, 16882, 267, 9698, 267, 1582, 3146, 18910, 543, 6940, 616, 2838, 585, 8744, 13884, 547, 2647, 12415, 540, 2551, 269, 901, 2070, 31234, 602, 4264, 1646, 568, 547, 581, 6913, 676, 2417, 2208, 1369, 513, 2518, 1863, 27360, 564, 4346, 269, 901, 568, 519, 1034, 2500, 1259, 547, 12366, 1047, 2518, 5763, 5137, 269, 22685, 1154, 713, 1935, 568, 2808, 547, 1863, 909, 2200, 547, 2327, 1514, 3356, 563, 763, 2518, 2070, 568, 849, 538, 12972, 609, 713, 8226, 607, 729, 6829, 676, 1114, 3486, 14540, 3226, 519, 2622, 7813, 269, 634, 1523, 540, 12666, 6388, 540, 2804, 2208, 568, 2921, 936, 6986, 1863, 27360, 564, 9297, 607, 513, 1907, 547, 948, 2743, 519, 2596, 2115, 540, 741, 1004, 543, 2327, 2797, 6617, 269, 634, 1689, 538, 8226, 814, 2938, 606, 2333, 538, 1426, 2504, 543, 922, 8244, 855, 4731, 333, 712, 7321, 3390, 568, 1869, 547, 581, 9619, 563, 303, 8140, 568, 538, 519, 17945, 540, 24567, 2551, 543, 519, 2487, 24616, 540, 1164, 13807, 3166, 3375, 15670, 1448, 856, 2509, 2921, 3268, 547, 2638, 713, 2208, 602, 814, 14275, 1881, 782, 1646, 6913, 269, 634, 15194, 3766, 12952, 616, 849, 2921, 26256, 714, 766, 540, 17212, 1324, 6710, 2175, 998, 6024, 6666, 948, 543, 621, 1223, 581, 2938, 602, 20422, 6608, 723, 711, 22696, 5529, 5484, 1794, 597, 20677, 8081, 19510, 1317, 267, 2705, 267, 2370, 621, 2337, 538, 29000, 519, 4057, 12415, 563, 289, 26698, 541, 31167, 531, 670, 1380, 664, 568, 513, 1514, 19191, 0, 1103, 476, 4572, 272, 267, 24305, 514, 25306, 8381, 344, 3430, 12649, 519, 1382, 593, 2732, 543, 3987, 269, 1261, 4080, 602, 1614, 1216, 30320, 7135, 267, 16061, 31622, 32611, 8117, 344, 3433, 267, 1035, 16587, 659, 564, 622, 543, 21449, 821, 630, 4385, 15217, 607, 11337, 821, 4703, 1070, 941, 3812, 676, 519, 6797, 538, 6382, 2635, 1004, 950, 789, 941, 5182, 1386, 610, 952, 789, 10057, 513, 1360, 1970, 21307, 8510, 3433, 267, 1164, 19339, 2732, 269, 3220, 269, 21651, 5651, 572, 8187, 518, 267, 693, 519, 25832, 18669, 267, 3710, 593, 713, 1382, 543, 22579, 519, 2165, 29145, 2732, 547, 4766, 513, 2732, 602, 3812, 513, 1164, 1377, 540, 11337, 821, 4703, 538, 519, 1973, 630, 8208, 517, 8598, 264, 998, 606, 4430, 540, 3170, 543, 3668, 540, 19346, 269, 8187, 518, 12479, 547, 3489, 519, 2640, 540, 17509, 538, 513, 8192, 3797, 602, 1223, 581, 9738, 22543, 17802, 269, 3571, 4693, 593, 513, 1906, 20560, 2550, 538, 476, 4572, 272, 729, 519, 1101, 946, 540, 519, 29145, 2732, 607, 513, 2126, 585, 20560, 563, 763, 918, 16587, 2732, 11363, 2597, 2530, 998, 3170, 1532, 9506, 269, 634, 3804, 568, 547, 3533, 6336, 2597, 543, 6038, 1745, 2407, 518, 609, 7864, 26351, 267, 1247, 20993, 707, 7099, 267, 2790, 1445, 543, 1648, 269, 4340, 547, 918, 16587, 28288, 267, 676, 1793, 4770, 519, 19719, 596, 8532, 543, 3079, 11423, 909, 593, 9600, 267, 596, 9108, 4283, 513, 1533, 540, 11337, 2670, 269, 2334, 779, 950, 519, 1560, 9397, 1524, 1312, 8192, 543, 6740, 1560, 3170, 883, 6878, 1572, 11337, 2158, 269, 2659, 3170, 1532, 9506, 1062, 1631, 12346, 5631, 593, 3170, 1107, 3079, 540, 4006, 1107, 585, 1648, 269, 2755, 2147, 538, 930, 2081, 547, 5432, 1970, 2275, 16808, 11326, 267, 519, 918, 16587, 2732, 779, 3665, 16087, 9993, 1107, 827, 476, 736, 2121, 19719, 513, 1554, 610, 1447, 267, 4470, 593, 519, 4528, 1107, 543, 519, 20982, 6521, 883, 11337, 2670, 616, 1018, 1305, 713, 5051, 2442, 2732, 6306, 563, 9617, 713, 3018, 267, 513, 476, 1839, 267, 1822, 16512, 1353, 4843, 693, 519, 3864, 5980, 540, 9315, 5735, 6837, 538, 22540, 6700, 602, 1004, 593, 519, 9803, 2275, 16808, 11326, 1185, 519, 5207, 1981, 540, 12955, 689, 2860, 267, 9025, 2175, 267, 543, 782, 824, 3123, 269, 6271, 1353, 267, 3370, 713, 3923, 538, 519, 31102, 267, 849, 1336, 602, 1004, 945, 4553, 11326, 602, 941, 1970, 538, 19719, 543, 1164, 538, 3662, 5946, 1185, 513, 2362, 1981, 540, 2038, 2669, 3379, 547, 1346, 945, 10057, 19719, 538, 20208, 269, 630, 763, 6587, 729, 3020, 267, 2705, 267, 585, 1970, 2275, 16808, 2732, 619, 945, 1904, 539, 585, 2030, 2861, 5946, 936, 5779, 543, 10683, 8094, 317, 31509, 8328, 834, 1122, 3913, 690, 257, 568, 1031, 1282, 15632, 543, 568, 513, 4235, 609, 519, 2838, 29145, 5223, 269, 1280, 1383, 267, 513, 476, 275, 281, 272, 5223, 4212, 333, 690, 1131, 2270, 476, 2568, 575, 540, 476, 3607, 260, 5230, 627, 6235, 8645, 267, 476, 1839, 575, 13594, 584, 2213, 6151, 4212, 267, 5485, 10420, 514, 543, 29877, 30993, 269, 901, 3568, 476, 25090, 737, 5632, 630, 272, 267, 28276, 737, 297, 1070, 476, 275, 575, 3940, 267, 476, 273, 575, 19346, 543, 476, 2190, 575, 3170, 630, 2190, 281, 277, 815, 476, 275, 281, 272, 1040, 634, 4212, 333, 690, 949, 849, 581, 11273, 547, 1118, 513, 8169, 731, 267, 610, 13792, 547, 1118, 4672, 8645, 563, 293, 1515, 569, 5063, 267, 519, 2732, 729, 5189, 607, 513, 2597, 2000, 1601, 2732, 676, 606, 7969, 7548, 540, 6391, 267, 3220, 269, 717, 1014, 325, 3757, 1723, 595, 1952, 10314, 540, 590, 777, 1329, 5633, 2160, 538, 7507, 269, 769, 1010, 476, 1001, 273, 1353, 267, 827, 476, 866, 267, 1822, 2732, 619, 4607, 513, 1164, 19339, 5277, 2732, 3842, 513, 8023, 8546, 17332, 1524, 519, 9224, 269, 634, 1353, 4951, 606, 3328, 2597, 2530, 540, 811, 982, 476, 736, 6550, 538, 5171, 267, 1034, 540, 7247, 6854, 621, 1055, 585, 693, 2547, 513, 1032, 269, 634, 3173, 4080, 513, 1906, 5634, 2427, 2360, 267, 899, 9854, 563, 2791, 2461, 28006, 269, 2659, 1560, 568, 9280, 547, 1184, 513, 1164, 6981, 540, 19719, 543, 513, 2539, 6981, 540, 3170, 269, 2659, 1560, 2115, 547, 1711, 11476, 547, 581, 2111, 547, 798, 713, 269, 769, 519, 27139, 1974, 267, 519, 2634, 949, 2196, 1970, 593, 1648, 799, 666, 1291, 547, 9240, 1375, 1465, 267, 15353, 267, 543, 14331, 269, 1403, 596, 2461, 2348, 513, 1804, 1966, 609, 713, 267, 596, 666, 3442, 547, 2569, 16087, 6981, 7930, 563, 24679, 729, 5393, 2352, 2437, 646, 31061, 269, 834, 2791, 6108, 707, 3003, 1272, 6217, 602, 3170, 2306, 596, 3170, 543, 3123, 2295, 6285, 543, 18116, 269, 3767, 267, 782, 540, 513, 6727, 267, 596, 2811, 4189, 476, 1220, 10101, 540, 3170, 829, 1554, 269, 1703, 568, 513, 5458, 5626, 5057, 547, 20630, 1354, 596, 666, 1831, 3811, 609, 519, 27520, 2732, 269, 769, 519, 4098, 267, 621, 781, 899, 3843, 547, 18609, 1004, 476, 272, 267, 1822, 1296, 3516, 602, 519, 1158, 568, 538, 1249, 5180, 267, 711, 6366, 4799, 7312, 1614, 1554, 14736, 1376, 4667, 547, 803, 547, 581, 3592, 4642, 19719, 286, 2549, 594, 4636, 286, 594, 723, 1044, 3257, 476, 736, 326, 2121, 16087, 1141, 596, 666, 1869, 1205, 538, 3833, 513, 1906, 19787, 585, 476, 736, 326, 2121, 19719, 269, 2549, 594, 7508, 1945, 286, 769, 519, 1554, 835, 585, 3236, 519, 1152, 19787, 616, 13767, 2044, 630, 272, 326, 610, 16087, 264, 543, 1287, 6535, 10852, 324, 3762, 286, 594, 15475, 596, 616, 3478, 476, 273, 575, 538, 10381, 5569, 267, 513, 3787, 538, 519, 5798, 267, 3092, 286, 594, 723, 1044, 9477, 543, 3478, 547, 476, 736, 326, 2121, 609, 19787, 267, 9600, 543, 16469, 630, 1889, 20011, 1169, 2582, 3364, 1040, 1924, 1306, 1279, 607, 596, 616, 693, 476, 736, 326, 1100, 2339, 875, 596, 1205, 972, 621, 1058, 581, 21453, 888, 3519, 330, 4802, 781, 17509, 3797, 729, 7550, 676, 11719, 1235, 538, 13416, 2259, 269, 769, 476, 4489, 277, 267, 513, 3220, 5062, 300, 584, 2001, 5206, 547, 519, 1715, 3840, 6481, 4750, 19101, 547, 723, 6707, 5701, 20560, 2550, 609, 513, 3728, 267, 4553, 676, 513, 20566, 268, 543, 4006, 6954, 2732, 267, 2094, 476, 4489, 273, 269, 769, 476, 4572, 272, 267, 7986, 1439, 4531, 514, 6048, 8361, 21984, 548, 2983, 344, 601, 514, 4080, 1010, 2833, 547, 519, 1977, 6481, 5948, 15007, 269, 1261, 1185, 2938, 1230, 330, 4802, 781, 1967, 1101, 11804, 543, 1185, 13986, 547, 16196, 519, 2164, 538, 476, 3607, 540, 1010, 1378, 2550, 269, 1261, 6913, 2147, 2164, 5103, 1152, 2348, 6594, 519, 2550, 585, 513, 2110, 942, 269, 4329, 2090, 538, 519, 476, 4572, 271, 338, 8612, 602, 17465, 3622, 8120, 1310, 519, 3728, 269, 8176, 623, 269, 1215, 1633, 267, 519, 2385, 540, 835, 540, 1230, 330, 4802, 781, 3811, 2550, 543, 513, 14547, 1715, 3840, 9746, 15818, 267, 5795, 1010, 7015, 3627, 18379, 553, 1215, 1633, 513, 10516, 540, 1269, 276, 267, 1822, 547, 1353, 834, 1492, 11337, 2670, 540, 27781, 2668, 1306, 7548, 540, 17328, 8824, 338, 693, 8592, 22846, 11233, 267, 3627, 661, 269, 1215, 1633, 1031, 519, 2724, 547, 2508, 1382, 17298, 676, 11719, 626, 26304, 29154, 321, 543, 1010, 13930, 5261, 717, 269, 31143, 2135, 563, 288, 9168, 4528, 540, 519, 29145, 2732, 267, 799, 2636, 596, 547, 3548, 3940, 811, 5391, 518, 958, 2443, 693, 476, 736, 547, 476, 1789, 2600, 540, 707, 2698, 8477, 2443, 609, 519, 1482, 19346, 19231, 267, 568, 519, 811, 4122, 1031, 4528, 540, 519, 2732, 2221, 269, 2368, 540, 519, 6663, 540, 519, 5767, 4528, 540, 519, 29145, 2732, 616, 2597, 2530, 267, 2597, 2359, 267, 543, 4824, 18942, 2773, 563, 2710, 596, 676, 4960, 723, 513, 10918, 1592, 585, 713, 476, 274, 1554, 4098, 1544, 286, 594, 993, 513, 19444, 543, 993, 865, 16397, 609, 1344, 269, 634, 1655, 851, 827, 707, 4566, 568, 789, 1810, 1406, 2154, 513, 3159, 540, 5820, 585, 476, 272, 11600, 269, 594, 1810, 1406, 899, 950, 594, 723, 547, 855, 476, 1428, 1919, 585, 476, 272, 7594, 269, 594, 849, 2648, 875, 596, 723, 1945, 585, 14254, 543, 1287, 666, 946, 621, 1586, 585, 12899, 630, 1485, 476, 272, 3884, 1406, 606, 1383, 1040, 11289, 596, 865, 1454, 585, 2921, 519, 942, 547, 2322, 891, 1927, 269, 4746, 267, 585, 782, 519, 1344, 596, 3177, 563, 4002, 513, 29145, 2732, 267, 707, 3003, 1560, 17176, 922, 4492, 3761, 547, 2196, 6140, 593, 3170, 267, 8781, 3170, 476, 2190, 268, 278, 269, 1879, 7378, 2157, 1831, 1360, 1970, 267, 3170, 8781, 666, 2333, 13497, 269, 898, 3587, 4443, 547, 1569, 707, 3170, 8637, 547, 6633, 873, 1055, 269, 901, 568, 1390, 952, 596, 2461, 3843, 547, 6336, 2597, 267, 855, 972, 616, 849, 824, 1447, 6654, 2640, 267, 971, 607, 1447, 14000, 543, 513, 11931, 3761, 540, 1648, 269, 901, 949, 948, 1832, 596, 10332, 543, 5059, 269, 0, 308, 3757, 1756, 16709, 281, 8466, 5811, 454, 763, 20879, 4199, 2872, 2094, 519, 3735, 476, 3422, 271, 338, 814, 4843, 513, 19433, 547, 1346, 7255, 609, 519, 3395, 1648, 17732, 543, 519, 3448, 2702, 540, 20879, 2200, 547, 4431, 547, 519, 991, 593, 513, 12905, 4493, 269, 4014, 519, 2872, 1185, 1044, 4389, 676, 26694, 540, 519, 5313, 2344, 689, 513, 4567, 540, 8445, 2504, 543, 9583, 19957, 3761, 538, 519, 3735, 476, 4198, 271, 338, 630, 8993, 269, 476, 272, 264, 547, 513, 6560, 585, 6228, 676, 519, 2038, 476, 3422, 271, 338, 267, 519, 2489, 13429, 729, 602, 519, 2872, 1131, 581, 2111, 547, 22919, 922, 2635, 4567, 538, 513, 2110, 942, 267, 25623, 676, 519, 11944, 540, 513, 4357, 1379, 2344, 585, 20879, 543, 3395, 2565, 640, 540, 519, 1648, 17732, 269, 1717, 267, 713, 13429, 814, 9863, 25619, 269, 4014, 519, 2872, 759, 25390, 4238, 538, 519, 3735, 476, 3422, 271, 338, 267, 621, 1705, 865, 593, 513, 1360, 3908, 4336, 267, 543, 606, 782, 13050, 4674, 1705, 711, 30134, 2394, 476, 3192, 275, 267, 950, 519, 942, 6967, 1354, 513, 2565, 17732, 729, 4389, 547, 606, 24034, 4567, 269, 21676, 9482, 609, 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 ]
[ 269, 13362, 267, 519, 16402, 267, 519, 623, 895, 28238, 1782, 267, 18230, 8071, 543, 5545, 962, 523, 1765, 299, 29368, 3036, 729, 16941, 2390, 676, 772, 2529, 269, 2883, 5238, 585, 12773, 959, 650, 687, 540, 9489, 685, 4502, 540, 7963, 269, 1809, 513, 2370, 811, 982, 1079, 1296, 1310, 519, 21472, 22244, 289, 3036, 2557, 1922, 30480, 29317, 13264, 267, 772, 2529, 269, 22124, 616, 26405, 547, 4734, 22244, 289, 3036, 538, 3870, 540, 606, 4244, 25162, 269, 8431, 1005, 856, 875, 547, 1305, 519, 1719, 2557, 585, 1269, 8182, 18265, 538, 772, 2529, 269, 2883, 2472, 543, 7963, 568, 1100, 2241, 4305, 269, 0, 292, 520, 12829, 4653, 281, 14068, 16639, 2334, 3657, 6153, 1280, 1411, 454, 2467, 616, 6266, 540, 2732, 543, 6484, 3652, 649, 2461, 782, 6026, 547, 3494, 269, 1809, 519, 1034, 1271, 2460, 540, 1022, 851, 540, 707, 2732, 568, 6712, 1852, 269, 17214, 14979, 22513, 560, 668, 568, 4653, 779, 10791, 543, 12594, 15503, 267, 543, 1352, 1153, 539, 519, 4653, 2319, 593, 6220, 5172, 3536, 883, 938, 2732, 538, 8902, 2081, 269, 2334, 19595, 803, 540, 3220, 23520, 779, 2487, 7935, 5287, 10791, 16390, 1397, 269, 5192, 1426, 5796, 593, 25841, 15310, 25966, 6348, 325, 520, 4258, 3150, 267, 3232, 17378, 6981, 1299, 811, 563, 292, 520, 12829, 4653, 281, 25841, 15310, 25966, 6348, 325, 520, 4258, 3150, 454, 10267, 3150, 814, 1164, 3170, 543, 17811, 1543, 267, 543, 17214, 14979, 22513, 560, 668, 1767, 621, 779, 1655, 547, 1589, 540, 621, 607, 513, 7873, 2939, 2864, 982, 606, 12146, 269, 2701, 6700, 2519, 593, 1164, 8137, 29380, 525, 267, 15663, 602, 968, 320, 2370, 4422, 513, 1279, 1259, 1848, 1403, 596, 2461, 23578, 609, 2834, 10381, 267, 3442, 4389, 3170, 3079, 540, 1875, 325, 520, 865, 596, 1869, 1205, 547, 2972, 519, 8137, 269, 9791, 4258, 3150, 568, 1776, 1164, 8137, 4244, 563, 292, 520, 12829, 4653, 281, 2290, 17378, 3131, 4303, 454, 2108, 292, 1375, 338, 616, 2965, 2470, 779, 1034, 7558, 1043, 3940, 2223, 17214, 14979, 22513, 560, 668, 1767, 269, 1358, 2461, 1164, 538, 4401, 607, 1134, 267, 543, 789, 2461, 10097, 269, 1809, 6712, 1852, 568, 1271, 1934, 269, 8347, 12145, 3054, 547, 835, 4212, 267, 610, 3575, 835, 2898, 4212, 609, 3606, 4212, 16543, 547, 12701, 856, 707, 14254, 563, 292, 520, 12829, 4653, 281, 6519, 12815, 320, 454, 19669, 12815, 553, 1810, 1406, 723, 1082, 5567, 267, 865, 621, 666, 1491, 513, 2603, 547, 6445, 596, 909, 269, 5502, 267, 1413, 585, 19940, 5453, 520, 12815, 320, 602, 814, 1164, 6775, 269, 17186, 5388, 883, 707, 18437, 8670, 585, 3773, 4320, 543, 811, 5567, 563, 2108, 2791, 798, 723, 547, 2268, 621, 856, 543, 723, 6712, 1852, 2223, 17214, 14979, 22513, 560, 668, 1767, 267, 15663, 602, 2699, 27156, 666, 581, 1175, 607, 9761, 607, 3043, 27156, 563, 292, 520, 12829, 4653, 281, 645, 8898, 8000, 10633, 454, 22025, 10633, 616, 513, 1390, 10448, 267, 1317, 789, 616, 16041, 609, 12192, 595, 267, 8000, 9914, 267, 543, 27438, 269, 898, 779, 711, 519, 15837, 779, 13337, 602, 621, 16919, 1390, 609, 11877, 8645, 269, 1280, 811, 12192, 589, 538, 707, 2732, 267, 513, 19323, 21690, 8000, 6737, 568, 513, 1434, 4781, 563, 292, 520, 12829, 4653, 281, 10979, 6199, 2913, 21949, 454, 15987, 621, 779, 711, 1360, 8770, 10053, 267, 972, 616, 930, 22705, 1938, 547, 10979, 6199, 2913, 21949, 269, 898, 779, 3893, 1164, 1216, 1543, 267, 799, 666, 948, 1832, 596, 19872, 267, 799, 568, 2523, 1271, 538, 519, 3905, 4832, 3275, 563, 2252, 596, 2461, 513, 2462, 15165, 518, 267, 2913, 21949, 568, 519, 1259, 547, 979, 269, 968, 2791, 666, 3548, 513, 2898, 2212, 585, 1447, 982, 476, 1839, 8477, 2223, 17214, 14979, 1767, 563, 292, 520, 12829, 4653, 281, 14465, 11446, 454, 2691, 16116, 856, 14465, 11446, 267, 2268, 873, 609, 519, 12732, 540, 707, 1688, 547, 2824, 513, 5420, 2450, 269, 1358, 2461, 513, 1390, 1259, 547, 4452, 909, 593, 12192, 645, 277, 267, 8000, 9914, 267, 543, 27438, 609, 1472, 476, 1911, 8477, 543, 513, 17598, 6492, 563, 292, 520, 12829, 4653, 281, 4414, 29133, 454, 2026, 585, 4414, 29133, 267, 3442, 10709, 518, 3681, 865, 596, 666, 1869, 2972, 707, 29202, 1510, 519, 3773, 8477, 269, 0, 293, 1042, 9581, 517, 779, 19032, 540, 519, 15214, 28309, 24418, 2088, 655, 5362, 454, 32513, 636, 26307, 666, 581, 6659, 538, 7681, 609, 1896, 3676, 267, 971, 607, 30847, 543, 26669, 549, 6776, 6794, 630, 16149, 776, 5409, 28309, 5866, 8598, 1040, 15214, 3273, 6856, 7637, 8598, 610, 29998, 3419, 22318, 5866, 8598, 949, 849, 581, 3119, 267, 4440, 4719, 269, 12049, 9581, 517, 630, 3422, 278, 264, 9286, 543, 4330, 5409, 28309, 5866, 655, 5362, 267, 1759, 593, 799, 5049, 540, 9067, 29952, 941, 11506, 267, 865, 5409, 28309, 641, 8527, 2088, 655, 5362, 269, 7433, 32661, 2803, 529, 540, 9067, 29952, 729, 3773, 547, 6482, 540, 16796, 8501, 543, 27831, 1938, 269, 1261, 4330, 2947, 2010, 540, 5409, 28309, 641, 8527, 2088, 655, 5362, 267, 9537, 594, 547, 966, 269, 1358, 2154, 1114, 2359, 269, 30272, 630, 3192, 271, 264, 1826, 4083, 630, 30104, 3273, 6856, 7637, 8598, 264, 729, 1016, 323, 22866, 883, 4083, 288, 610, 4083, 289, 1107, 519, 8545, 10483, 676, 6659, 27831, 1938, 269, 769, 476, 3192, 273, 22686, 5916, 5409, 28309, 5866, 8598, 729, 3989, 269, 13012, 476, 3422, 278, 1700, 3192, 274, 269, 0, 1607, 1323, 11197, 513, 4303, 3992, 1544, 849, 2882, 912, 268, 15012, 547, 1569, 782, 3769, 2326, 454, 10743, 2263, 519, 3627, 5500, 2561, 956, 3975, 1650, 269, 769, 713, 3028, 1565, 14292, 2534, 267, 1053, 5311, 519, 1272, 4783, 540, 11945, 4054, 543, 5431, 875, 3627, 5500, 2561, 956, 3975, 5249, 607, 513, 24960, 626, 563, 2641, 14358, 476, 3066, 20042, 0, 296, 1131, 899, 547, 454, 27778, 5241, 707, 4522, 1310, 1169, 7594, 1522, 3100, 899, 519, 1318, 1259, 547, 1832, 873, 2178, 543, 2635, 267, 855, 24782, 723, 19230, 602, 713, 666, 2965, 798, 811, 2800, 982, 1434, 1107, 2523, 952, 596, 723, 1175, 13881, 513, 3638, 7594, 267, 18233, 1524, 609, 606, 15755, 20892, 269, 4340, 547, 2487, 1382, 267, 17678, 1369, 3368, 606, 5662, 540, 4189, 666, 798, 1483, 3441, 547, 519, 7202, 514, 4494, 9944, 519, 19596, 267, 1317, 519, 3679, 2157, 538, 519, 5023, 616, 2362, 1310, 4189, 543, 17678, 3112, 4894, 519, 3679, 1510, 14124, 519, 5694, 2497, 269, 3220, 20999, 681, 269, 31133, 1076, 267, 7022, 540, 519, 9142, 540, 4937, 19239, 3588, 12038, 547, 519, 1715, 3840, 8648, 267, 7713, 602, 2048, 5976, 17678, 267, 596, 1223, 2965, 7903, 519, 3679, 4514, 883, 519, 19596, 543, 519, 7202, 514, 19028, 2026, 851, 540, 513, 1353, 547, 1449, 519, 3069, 267, 13538, 20595, 1480, 7202, 514, 5439, 538, 741, 5023, 543, 7318, 1114, 17678, 13467, 282, 519, 2164, 4951, 602, 17678, 1369, 606, 5662, 540, 6704, 1945, 15755, 2048, 560, 686, 5529, 685, 519, 4522, 540, 741, 6886, 267, 543, 7996, 8938, 3764, 1310, 513, 2571, 4235, 849, 1705, 9645, 3441, 269, 1717, 267, 972, 568, 930, 1434, 3377, 267, 607, 519, 1198, 4667, 547, 581, 8766, 2213, 1310, 827, 606, 5662, 282, 519, 3173, 945, 5645, 856, 519, 1353, 7000, 602, 2048, 12898, 12499, 268, 7394, 5712, 540, 476, 1789, 543, 476, 2568, 25008, 267, 5957, 729, 711, 3648, 2362, 982, 538, 796, 1962, 19813, 8060, 269, 898, 568, 11943, 602, 585, 4027, 540, 7202, 514, 7252, 267, 693, 2547, 476, 1789, 25008, 1058, 1714, 8985, 1354, 5694, 17678, 1310, 606, 2144, 657, 633, 4323, 19028, 2791, 666, 4019, 2228, 1631, 585, 476, 271, 260, 5959, 8804, 676, 1739, 519, 3095, 2630, 563, 4263, 23421, 15482, 18669, 649, 1683, 513, 1863, 23815, 25185, 15360, 563, 23086, 721, 2221, 267, 649, 616, 1930, 689, 476, 280, 600, 547, 476, 1015, 10975, 0, 1103, 476, 1960, 280, 267, 519, 29401, 6243, 11173, 922, 27803, 7269, 2557, 540, 476, 279, 269, 274, 10065, 901, 729, 1851, 519, 10600, 5207, 2208, 3790, 538, 476, 1960, 280, 269, 769, 519, 2063, 476, 275, 1296, 1354, 267, 519, 3356, 3902, 540, 519, 29401, 6243, 729, 593, 3328, 267, 1175, 513, 2370, 936, 476, 278, 10065, 634, 29401, 6243, 2221, 5012, 519, 1158, 538, 2883, 2208, 269, 5808, 723, 2219, 713, 10703, 22133, 888, 1103, 519, 3735, 476, 3199, 338, 543, 476, 1960, 271, 267, 519, 12654, 8593, 676, 909, 547, 476, 276, 260, 543, 1871, 10637, 6603, 476, 1911, 10065, 11374, 713, 1974, 267, 519, 29401, 6243, 9411, 513, 4195, 3942, 540, 7269, 269, 898, 2968, 606, 8884, 540, 9793, 3356, 543, 19394, 10637, 269, 769, 476, 1960, 276, 10637, 729, 4080, 693, 476, 280, 9077, 1247, 12654, 8057, 676, 476, 275, 269, 276, 10065, 589, 1032, 4166, 1310, 519, 10637, 3790, 12628, 476, 276, 260, 543, 519, 12654, 8057, 547, 827, 476, 278, 269, 274, 18336, 763, 3854, 1031, 547, 581, 2141, 513, 3500, 4884, 855, 814, 2094, 10736, 883, 513, 1558, 24227, 609, 1082, 1007, 1647, 2275, 14394, 1016, 31755, 269, 670, 4007, 7328, 10626, 6472, 267, 3573, 8027, 543, 2497, 3785, 267, 543, 513, 7082, 15129, 1647, 1362, 267, 616, 6654, 4191, 540, 1007, 13284, 1127, 269, 23556, 532, 713, 2208, 786, 581, 9235, 267, 7418, 267, 26313, 267, 4070, 267, 519, 1863, 22271, 821, 10198, 7031, 267, 543, 1896, 2533, 269, 634, 29401, 6243, 723, 1044, 513, 4006, 2949, 4346, 543, 2486, 267, 609, 14836, 2531, 3215, 519, 13143, 2949, 4346, 676, 476, 3199, 10065, 3794, 26651, 814, 12628, 547, 3648, 1447, 982, 476, 276, 260, 540, 519, 717, 23259, 269, 1715, 9541, 4755, 547, 581, 3478, 883, 519, 2197, 593, 513, 2834, 4493, 563, 763, 2804, 2656, 2287, 5222, 519, 2347, 2197, 267, 3606, 2724, 568, 21883, 267, 543, 6009, 616, 1373, 1500, 693, 606, 16613, 1377, 269, 1703, 568, 3063, 2534, 267, 1648, 267, 543, 5163, 538, 519, 29401, 2344, 543, 2486, 982, 2479, 1354, 1354, 538, 519, 2197, 781, 1686, 269, 901, 538, 4999, 0, 288, 4686, 2068, 849, 5219, 547, 607, 606, 29152, 2068, 267, 568, 1022, 2068, 602, 5540, 513, 1507, 6871, 540, 519, 2551, 563, 7197, 4686, 3676, 616, 4719, 267, 543, 616, 1459, 2429, 513, 1268, 779, 3003, 1272, 267, 1256, 952, 2589, 798, 711, 5612, 2408, 25331, 269, 3509, 4686, 3676, 2408, 2038, 538, 1272, 267, 543, 827, 476, 1789, 2600, 540, 1453, 609, 4686, 3676, 786, 5884, 1354, 8757, 741, 11359, 14512, 269, 2060, 513, 2582, 8995, 3461, 1152, 267, 10775, 846, 268, 276, 14428, 24043, 568, 9593, 848, 10638, 568, 2808, 519, 4686, 560, 4719, 2068, 563, 763, 3864, 9257, 585, 27824, 15302, 630, 292, 7838, 16704, 3041, 264, 9193, 602, 607, 1082, 607, 476, 276, 267, 1822, 547, 476, 278, 267, 1822, 3982, 4686, 3676, 2291, 267, 543, 607, 1454, 607, 476, 277, 260, 547, 476, 279, 260, 540, 519, 2551, 540, 519, 3864, 5742, 568, 4299, 676, 835, 269, 8307, 827, 476, 6110, 4686, 3676, 723, 11257, 543, 827, 476, 3199, 260, 723, 513, 4719, 5057, 2687, 547, 27824, 2637, 15299, 4659, 563, 305, 732, 3676, 666, 4268, 538, 9860, 1063, 5095, 267, 865, 513, 2068, 602, 568, 4686, 538, 930, 5095, 949, 581, 1455, 538, 1866, 269, 901, 568, 2523, 3020, 540, 4719, 3676, 543, 11763, 3676, 269, 1323, 1383, 568, 2166, 10973, 27470, 267, 513, 4719, 2068, 281, 621, 568, 4686, 538, 1034, 2694, 540, 5607, 855, 5266, 1455, 538, 2342, 543, 538, 5095, 540, 3864, 16350, 269, 769, 4130, 2950, 267, 519, 13653, 1198, 666, 1267, 538, 513, 2068, 602, 568, 1360, 4686, 5001, 1373, 11342, 1369, 519, 4130, 2146, 269, 3509, 11763, 3676, 616, 11342, 538, 513, 2016, 13664, 1858, 855, 4686, 10876, 3116, 269, 4033, 3676, 267, 971, 607, 1082, 4686, 3029, 540, 2860, 267, 723, 1100, 7805, 4806, 540, 3892, 855, 616, 3274, 4686, 269, 634, 8760, 540, 824, 2175, 5673, 538, 851, 593, 519, 2551, 1373, 6594, 281, 2353, 3029, 540, 2860, 538, 1453, 616, 3622, 2808, 4686, 267, 1317, 865, 1906, 1453, 1020, 2860, 267, 855, 519, 1482, 2860, 538, 4079, 949, 581, 811, 1455, 563, 23322, 2524, 540, 27824, 3676, 563, 305, 732, 3676, 616, 2356, 4719, 543, 616, 4061, 5312, 269, 661, 7838, 16704, 3041, 9193, 602, 693, 2547, 476, 3199, 260, 540, 873, 723, 4857, 4719, 8129, 269, 4033, 4686, 3676, 616, 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 ]
[ 280, 1547, 1547, 476, 274, 16733, 14256, 368, 17995, 21508, 507, 31961, 476, 272, 2999, 31977, 368, 264, 9890, 630, 271, 2999, 630, 272, 1315, 31977, 368, 264, 31961, 630, 272, 1315, 31977, 368, 264, 2999, 476, 272, 4917, 2641, 13678, 1440, 323, 1109, 13647, 1547, 476, 273, 16733, 14256, 368, 17995, 21508, 507, 31961, 476, 272, 2999, 31977, 368, 264, 9890, 630, 272, 1315, 31977, 368, 264, 2999, 476, 272, 994, 4029, 338, 11069, 671, 1109, 9340, 1547, 1547, 1547, 476, 275, 16733, 14256, 368, 17995, 21508, 507, 31961, 476, 272, 2999, 31977, 368, 264, 9890, 476, 271, 2999, 630, 272, 1315, 31977, 368, 4917, 275, 1109, 345, 25885, 271, 613, 272, 1109, 280, 1015, 276, 1547, 1547, 1547, 476, 275, 16733, 272, 1315, 31977, 368, 264, 17995, 21508, 353, 9890, 630, 271, 2999, 630, 272, 1315, 31977, 368, 264, 7602, 498, 476, 272, 18016, 630, 272, 1315, 31977, 368, 21875, 7871, 267, 476, 275, 1910, 331, 276, 756, 1260, 1109, 15150, 1547, 1547, 476, 274, 16733, 14256, 368, 17995, 21508, 507, 31961, 476, 272, 2999, 31977, 368, 264, 9890, 16733, 272, 1315, 31977, 368, 264, 17995, 21508, 353, 9890, 476, 272, 18016, 630, 272, 1315, 31977, 368, 21875, 277, 1109, 272, 516, 1109, 278, 4037, 279, 1547, 1547, 1547, 476, 275, 476, 272, 17995, 21508, 507, 454, 278, 1109, 271, 2741, 272, 1109, 4281, 279, 273, 1547, 1547, 1547, 1547, 1547, 1547, 1547, 476, 279, 476, 271, 2999, 476, 272, 454, 279, 1109, 271, 516, 1109, 278, 4037, 280, 1547, 1547, 1547, 1547, 1547, 1547, 1547, 1547, 476, 280, 476, 271, 17995, 21508, 507, 454, 280, 1109, 331, 1777, 337, 1109, 4281, 274, 272, 1547, 1547, 1547, 1547, 1547, 1547, 1547, 1547, 476, 280, 16733, 271, 17995, 21508, 507, 31961, 476, 272, 17995, 21508, 507, 31961, 31977, 368, 17995, 21508, 507, 264, 9890, 16733, 271, 2999, 476, 272, 31961, 476, 272, 2999, 31977, 368, 264, 9890, 476, 271, 2999, 31977, 368, 4917, 10482, 267, 476, 277, 267, 476, 280, 5404, 274, 534, 1321, 1109, 9873, 276, 1547, 1547, 1547, 1547, 1547, 1547, 1547, 476, 279, 630, 14256, 368, 17995, 21508, 507, 9890, 16733, 271, 2999, 476, 272, 31961, 476, 272, 2999, 31977, 368, 264, 9890, 476, 271, 2999, 31977, 368, 4917, 14056, 267, 476, 1015, 332, 3966, 328, 1109, 275, 2918, 1547, 1547, 1547, 1547, 1547, 1547, 476, 278, 630, 14256, 368, 17995, 21508, 507, 9890, 630, 272, 2999, 31977, 368, 9890, 476, 271, 2999, 31977, 368, 4917, 13199, 272, 574, 323, 6017, 328, 1109, 4510, 272, 1547, 1547, 1547, 1547, 1547, 476, 277, 16733, 14256, 368, 17995, 21508, 507, 31961, 476, 272, 2999, 31977, 368, 264, 9890, 630, 14256, 368, 17995, 21508, 507, 31961, 476, 271, 2999, 31977, 368, 4917, 1724, 1109, 25885, 271, 777, 271, 1109, 279, 4343, 272, 1547, 1547, 1547, 1547, 1547, 476, 277, 16733, 14256, 368, 17995, 21508, 507, 31961, 476, 271, 2999, 31977, 368, 264, 9890, 31977, 368, 1948, 476, 271, 994, 15221, 273, 267, 476, 1724, 1910, 331, 1109, 1691, 1547, 1547, 1547, 1547, 476, 276, 16733, 14256, 368, 17995, 21508, 507, 31961, 476, 272, 2999, 31977, 368, 264, 9890, 31977, 368, 1948, 476, 271, 994, 1428, 1109, 516, 13440, 743, 777, 1109, 279, 4366, 274, 1547, 1547, 1547, 1547, 476, 276, 16733, 14256, 368, 17995, 21508, 507, 31961, 31977, 368, 1948, 476, 271, 264, 9890, 630, 272, 1315, 31977, 368, 264, 17995, 21508, 507, 994, 14065, 275, 267, 476, 1428, 1910, 671, 534, 1109, 18231, 1547, 1547, 1547, 476, 275, 16733, 14256, 368, 17995, 21508, 507, 31961, 476, 272, 2999, 31977, 368, 264, 9890, 630, 272, 1315, 31977, 368, 264, 17995, 21508, 507, 994, 1704, 1109, 6352, 2741, 1109, 4281, 274, 274, 1547, 1547, 1547, 476, 275, 16733, 272, 17995, 21508, 507, 31961, 630, 272, 1315, 31977, 368, 264, 17995, 21508, 507, 264, 9890, 630, 272, 18016, 630, 272, 1315, 31977, 368, 264, 7602, 498, 2485, 361, 630, 272, 1315, 31977, 368, 264, 2999, 476, 272, 4917, 5908, 267, 476, 1626, 267, 476, 1704, 1910, 331, 4545, 337, 1109, 25148, 1547, 1547, 476, 274, 16733, 14256, 368, 17995, 21508, 507, 31961, 476, 272, 2999, 31977, 368, 264, 9890, 630, 272, 18016, 630, 272, 1315, 31977, 368, 264, 7602, 498, 2485, 361, 630, 272, 1315, 31977, 368, 264, 2999, 476, 272, 4917, 4198, 267, 476, 1240, 1910, 12221, 323, 1109, 16825, 1547, 476, 273, 16733, 14256, 368, 17995, 21508, 507, 31961, 476, 272, 2999, 31977, 368, 264, 9890, 16733, 272, 1315, 31977, 368, 264, 17995, 21508, 353, 9890, 2485, 361, 630, 272, 1315, 31977, 368, 264, 2999, 476, 272, 4917, 1708, 267, 476, 866, 31198, 273, 323, 1109, 277, 1691, 476, 272, 16733, 14256, 368, 17995, 21508, 507, 31961, 476, 272, 2999, 31977, 368, 264, 9890, 2485, 361, 630, 272, 1315, 31977, 368, 264, 17995, 21508, 353, 994, 27413, 540, 4632, 281, 530, 742, 1305, 1362, 16522, 1314, 23456, 281, 476, 1109, 12953, 530, 333, 1109, 274, 5231, 9890, 530, 328, 1109, 275, 5231, 31961, 3649, 1109, 9818, 5231, 7602, 498, 530, 321, 1109, 10441, 5231, 17995, 530, 4897, 1109, 16825, 271, 5231, 1362, 1362, 1362, 530, 1962, 1109, 4375, 273, 275, 476, 1109, 263, 5035, 1362, 1362, 264, 1723, 1109, 6872, 277, 278, 476, 1109, 11433, 507, 13062, 1109, 278, 8618, 273, 476, 1109, 271, 764, 271, 1109, 278, 8618, 274, 476, 1109, 272, 322, 272, 1109, 278, 8618, 275, 5231, 2999, 804, 339, 1109, 6507, 280, 274, 5231, 18016, 1579, 1109, 6507, 280, 275, 5231, 1948, 1698, 1109, 279, 3451, 277, 5231, 1315, 524, 15965, 1109, 279, 5655, 276, 476, 1109, 11433, 353, 322, 345, 1109, 3445, 275, 278, 901, 11532, 729, 9863, 689, 24936, 1682, 281, 476, 1109, 1314, 2173, 335, 1109, 276, 476, 1109, 1314, 268, 272, 1109, 277, 476, 1109, 1314, 268, 273, 1109, 278, 476, 1109, 1314, 268, 807, 272, 1109, 10755, 476, 1109, 1314, 268, 807, 273, 1109, 11793, 476, 1109, 1314, 268, 807, 274, 1109, 13040, 476, 1109, 1314, 2987, 272, 1109, 2568, 274, 476, 1109, 1314, 2987, 273, 1109, 2568, 275, 476, 1109, 1314, 268, 1470, 1109, 277, 7176, 476, 1109, 1314, 268, 276, 1109, 16318, 274, 476, 1109, 1314, 268, 278, 1109, 16318, 275, 476, 1109, 1314, 24932, 1109, 16318, 276, 476, 1109, 1314, 268, 773, 272, 1109, 16409, 280, 476, 1109, 1314, 268, 773, 273, 1109, 15704, 271, 476, 1109, 1314, 268, 279, 1109, 16825, 273, 476, 1109, 1314, 268, 1015, 1109, 16825, 274, 476, 1109, 1314, 268, 1556, 1109, 16825, 275, 476, 1109, 1314, 25829, 1321, 1109, 16825, 276, 476, 1109, 1314, 1532, 526, 331, 1109, 16825, 277, 476, 1109, 1314, 268, 275, 1109, 16825, 278, 476, 1109, 1314, 268, 1724, 1109, 14983, 272, 476, 1109, 1314, 268, 1691, 1109, 14983, 273, 476, 1109, 1314, 268, 1704, 1109, 5611, 277, 476, 1109, 1314, 25829, 280, 1109, 14681, 271, 476, 1109, 1314, 268, 658, 1109, 14681, 275, 476, 1109, 1314, 25829, 276, 337, 1109, 14681, 276, 476, 1109, 1314, 268, 2169, 1109, 21076, 280, 476, 1109, 1314, 5498, 335, 1109, 29024, 272, 476, 1109, 1314, 1790, 578, 1109, 30156, 274, 476, 1109, 1314, 17376, 1109, 31404, 277, 476, 1109, 1314, 10595, 1109, 31973, 271, 476, 1109, 1314, 1606, 564, 785, 1109, 29900, 278, 476, 1109, 1314, 2275, 10811, 1109, 278, 3583, 275, 476, 1109, 1314, 268, 816, 322, 333, 1109, 278, 3583, 276, 476, 1109, 1314, 268, 272, 322, 333, 1109, 278, 3583, 277, 476, 1109, 1314, 268, 272, 516, 1109, 278, 3583, 278, 476, 1109, 1314, 268, 545, 333, 1109, 278, 3583, 279, 476, 1109, 1314, 268, 5417, 743, 1109, 278, 3583, 280, 476, 1109, 1314, 268, 5417, 337, 743, 1109, 6507, 272, 271, 476, 1109, 1314, 2173, 592, 743, 1109, 6507, 272, 272, 476, 1109, 1314, 2173, 592, 337, 743, 1109, 6507, 272, 273, 476, 1109, 1314, 268, 5417, 1260, 1109, 6507, 272, 274, 476, 1109, 1314, 2173, 592, 1260, 1109, 6507, 272, 275, 476, 1109, 1314, 268, 5417, 817, 1109, 6507, 272, 276, 476, 1109, 1314, 2173, 592, 817, 1109, 6507, 272, 277, 476, 1109, 1314, 1673, 626, 337, 1109, 6507, 272, 278, 476, 1109, 1314, 25829, 273, 332, 272, 1109, 6507, 272, 279, 476, 1109, 1314, 268, 271, 2741, 272, 1109, 6507, 272, 280, 476, 1109, 1314, 268, 272, 5090, 1109, 6507, 273, 271, 476, 1109, 1314, 268, 271, 573, 1109, 6507, 273, 272, 476, 1109, 1314, 8573, 928, 613, 343, 1109, 6507, 273, 273, 476, 1109, 1314, 1790, 516, 576, 343, 1109, 6507, 273, 274, 476, 1109, 1314, 2275, 333, 516, 1109, 6507, 273, 275, 476, 1109, 1314, 1790, 516, 2000, 339, 597, 337, 1109, 6507, 273, 276, 476, 1109, 1314, 1790, 516, 2000, 13512, 4802, 1109, 6507, 273, 277, 476, 1109, 1314, 1790, 516, 2000, 1777, 337, 333, 1109, 6507, 273, 278, 476, 1109, 1314, 1790, 516, 268, 2194, 328, 1109, 6507, 273, 279, 476, 1109, 1314, 1790, 516, 2000, 339, 5417, 1109, 6507, 273, 280, 476, 1109, 1314, 1790, 516, 2173, 592, 25885, 271, 1109, 6507, 274, 271, 476, 1109, 1314, 1790, 516, 2173, 2544, 868, 1109, 6507, 274, 272, 901, 11532, 5673, 593, 8847, 281, 476, 23460, 1532, 328, 1109, 14138, 476, 23460, 268, 274, 528, 1109, 280, 8287, 476, 23460, 268, 274, 534, 1109, 280, 5038, 476, 23460, 2389, 745, 1109, 15836, 275, 476, 23460, 1922, 531, 1109, 15836, 278, 476, 23460, 5991, 325, 1109, 16960, 278, 476, 23460, 1606, 321, 1109, 15876, 277, 476, 23460, 3887, 340, 1109, 1220, 271, 476, 23460, 2173, 334, 1109, 1220, 272, 476, 23460, 12641, 629, 1109, 18891, 275, 476, 23460, 268, 2193, 336, 1109, 22659, 271, 476, 23460, 268, 2193, 331, 1109, 22659, 274, 476, 23460, 5991, 325, 322, 1109, 26297, 279, 476, 23460, 16250, 1109, 15996, 278, 476, 23460, 5991, 601, 1109, 13301, 273, 476, 23460, 268, 1537, 1109, 25240, 280, 476, 23460, 3146, 343, 1109, 26237, 271, 476, 23460, 3146, 340, 1109, 26237, 272, 476, 23460, 268, 3944, 334, 1109, 26237, 273, 476, 23460, 268, 4599, 1109, 26237, 274, 476, 23460, 8686, 1109, 28803, 274, 476, 23460, 1606, 25900, 1109, 23310, 276, 476, 23460, 1673, 604, 1109, 27420, 279, 476, 23460, 10595, 1109, 28906, 271, 476, 23460, 2987, 1109, 28906, 273, 476, 23460, 268, 1087, 1109, 28906, 280, 476, 23460, 1790, 342, 1109, 12573, 278, 476, 23460, 1606, 333, 1109, 31134, 279, 476, 23460, 17376, 1109, 31134, 280, 476, 23460, 19945, 1109, 31874, 272, 476, 23460, 10595, 328, 1109, 32699, 273, 476, 23460, 10784, 1109, 4391, 277, 278, 476, 23460, 1532, 337, 1109, 4375, 273, 276, 476, 23460, 19945, 629, 1109, 4375, 279, 276, 476, 23460, 268, 573, 1109, 275, 2641, 271, 476, 23460, 1790, 334, 1109, 275, 2641, 274, 476, 23460, 28104, 334, 1109, 275, 2641, 275, 476, 23460, 14870, 335, 1109, 3393, 275, 271, 476, 23460, 3146, 331, 1109, 3393, 275, 272, 476, 23460, 2275, 333, 341, 1109, 3393, 275, 273, 476, 23460, 18396, 1109, 3393, 275, 274, 476, 23460, 1673, 332, 1109, 3393, 275, 275, 476, 23460, 268, 23273, 1109, 2004, 279, 274, 476, 23460, 1922, 684, 1109, 24423, 271, 476, 23460, 1922, 341, 1109, 24423, 277, 476, 23460, 268, 686, 7974, 1109, 6872, 273, 274, 476, 23460, 268, 990, 1109, 276, 6507, 271, 476, 23460, 19945, 4599, 1109, 276, 6507, 272, 476, 23460, 2173, 17763, 1109, 276, 6507, 273, 476, 23460, 1790, 333, 325, 1109, 6507, 280, 276, 476, 23460, 2173, 333, 325, 1109, 6507, 280, 277, 476, 23460, 14870, 337, 1109, 6507, 280, 278, 476, 23460, 2000, 339, 343, 337, 1109, 6507, 280, 279, 476, 23460, 6122, 1109, 6507, 280, 280, 476, 23460, 28175, 1109, 8064, 273, 279, 476, 23460, 268, 10864, 1109, 8064, 273, 280, 476, 23460, 3146, 777, 1109, 279, 3451, 271, 476, 23460, 268, 777, 1109, 279, 3451, 278, 476, 23460, 1673, 643, 1109, 279, 5655, 277, 476, 23460, 2987, 333, 1109, 9262, 272, 275, 476, 23460, 5991, 271, 1109, 8660, 278, 272, 476, 23460, 22271, 1109, 3445, 275, 279, 901, 11532, 568, 26518, 676, 281, 476, 1109, 327, 2788, 333, 345, 476, 1109, 280, 1691, 271, 476, 1109, 325, 659, 526, 643, 476, 1109, 10441, 4281, 454, 14645, 2474, 281, 5398, 6389, 654, 274, 290, 4570, 1807 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 3112, 10654, 519, 3356, 543, 519, 1082, 2242, 799, 616, 2386, 547, 2049, 538, 1346, 2175, 799, 3313, 519, 4287, 799, 519, 2962, 540, 1010, 6240, 4927, 1491, 269, 1261, 3112, 1852, 519, 29916, 540, 1010, 8284, 2275, 805, 999, 9444, 693, 1753, 6862, 13383, 269, 1261, 949, 14365, 712, 547, 798, 865, 267, 855, 519, 3801, 786, 15983, 581, 3238, 538, 8594, 563, 2467, 568, 835, 4183, 799, 538, 1880, 27537, 519, 1863, 2389, 8565, 989, 2787, 269, 898, 568, 3254, 538, 519, 1020, 454, 272, 6969, 1863, 4123, 519, 16795, 3356, 540, 519, 1004, 729, 538, 1184, 540, 5106, 269, 1809, 713, 729, 711, 4028, 2614, 585, 519, 5301, 540, 989, 2787, 269, 2991, 1863, 4123, 543, 519, 4473, 540, 13848, 267, 519, 11636, 3350, 729, 607, 8282, 547, 1863, 4123, 267, 543, 5449, 3741, 540, 3356, 941, 16053, 269, 4935, 621, 3357, 547, 581, 7682, 539, 602, 1510, 1863, 4123, 972, 1131, 723, 1044, 1100, 1570, 3356, 269, 1809, 609, 1018, 2543, 547, 519, 3020, 5013, 540, 519, 2013, 888, 618, 540, 519, 1857, 15131, 547, 606, 6708, 2760, 1634, 1354, 538, 519, 1686, 540, 713, 2197, 269, 1215, 705, 569, 621, 729, 6462, 689, 1657, 267, 543, 875, 3532, 621, 2968, 538, 519, 3946, 540, 606, 27423, 899, 29154, 6577, 267, 729, 18931, 676, 519, 2797, 3401, 540, 519, 942, 269, 4270, 1522, 11184, 7917, 3212, 601, 530, 1550, 693, 519, 2367, 2167, 799, 3627, 24761, 543, 9400, 29154, 6577, 5433, 789, 941, 20582, 538, 1210, 269, 1280, 789, 941, 9117, 267, 2687, 547, 741, 6644, 267, 538, 519, 4690, 540, 519, 5354, 540, 519, 4182, 267, 1996, 1018, 729, 4371, 909, 547, 1727, 13681, 8922, 607, 519, 4690, 540, 513, 26771, 269, 25613, 15804, 729, 519, 1390, 2604, 2322, 2390, 1312, 519, 6105, 538, 519, 3557, 269, 5502, 540, 519, 2243, 1373, 5941, 689, 513, 17033, 22237, 1448, 267, 621, 693, 2899, 26731, 547, 519, 12406, 540, 11880, 3050, 269, 1656, 3976, 267, 538, 1931, 547, 4688, 519, 3557, 689, 824, 543, 8338, 267, 1317, 7525, 267, 4539, 267, 272, 598, 20896, 729, 11292, 282, 543, 3976, 519, 3395, 9111, 19927, 602, 1022, 598, 20896, 1522, 581, 5833, 676, 513, 1134, 6716, 2213, 989, 2787, 267, 3366, 676, 14547, 543, 5462, 2367, 563, 3719, 519, 1871, 540, 971, 606, 1383, 568, 30940, 267, 607, 2484, 607, 4145, 519, 3339, 3356, 540, 2486, 269, 1411, 1590, 711, 7340, 602, 519, 3390, 547, 581, 4956, 729, 711, 513, 2241, 835, 269, 1703, 941, 711, 22237, 21274, 1152, 538, 2070, 267, 855, 2797, 3283, 607, 1134, 269, 1656, 865, 621, 3357, 827, 602, 1082, 2367, 267, 543, 10838, 873, 11184, 7917, 3212, 601, 543, 631, 262, 290, 1638, 5255, 267, 1247, 789, 7038, 539, 1880, 2093, 593, 1142, 851, 540, 519, 1950, 1966, 607, 621, 729, 2919, 676, 29154, 6577, 267, 941, 2943, 25997, 547, 9260, 621, 607, 513, 2898, 267, 543, 957, 9935, 269, 1656, 649, 454, 272, 29154, 6577, 781, 1913, 786, 581, 15422, 281, 834, 2791, 786, 598, 1027, 324, 721, 1863, 4123, 267, 610, 596, 786, 598, 1027, 324, 721, 513, 1434, 4308, 811, 1701, 1765, 303, 269, 476, 15094, 563, 17647, 11184, 661, 3426, 339, 3212, 601, 781, 21981, 602, 621, 729, 713, 2932, 799, 267, 2687, 547, 1010, 24235, 267, 11324, 4240, 519, 2197, 689, 519, 3520, 5558, 540, 3540, 2112, 269, 272, 454, 26139, 560, 519, 2126, 267, 607, 513, 2898, 267, 540, 971, 7294, 2042, 267, 1932, 1454, 3112, 581, 1767, 269, 898, 568, 1930, 547, 782, 2249, 540, 15148, 1154, 6808, 538, 4690, 269, 589, 2797, 6205, 949, 3976, 17551, 602, 646, 3112, 1198, 519, 6963, 596, 7287, 8259, 596, 2285, 1864, 707, 1489, 593, 1776, 2243, 269, 1809, 2390, 602, 2243, 707, 6644, 949, 581, 10353, 547, 1010, 269, 11048, 596, 616, 15673, 539, 609, 519, 536, 7159, 267, 543, 949, 29884, 707, 10385, 547, 7443, 563, 15371, 610, 711, 713, 568, 513, 27357, 4183, 538, 519, 834, 2889, 28698, 834, 540, 938, 6214, 267, 1142, 1590, 6430, 585, 5128, 269, 1809, 519, 5647, 729, 1500, 676, 29154, 6577, 267, 543, 814, 1044, 1316, 2213, 693, 2053, 676, 1010, 1967, 832, 269, 273, 454, 2005, 568, 2653, 547, 1294, 602, 713, 5647, 12081, 338, 18678, 1282, 513, 6433, 267, 543, 602, 621, 568, 519, 7287, 267, 1317, 621, 568, 547, 519, 1719, 267, 540, 930, 2797, 3401, 1765, 29006, 945, 1291, 454, 272, 966, 728, 7905, 1320, 528, 1245, 29124, 267, 538, 1412, 290, 984, 6577, 543, 11572, 32722, 10086, 533, 269, 476, 14093, 269, 834, 763, 12176, 540, 476, 7277, 279, 729, 513, 2189, 7613, 538, 6214, 1701, 834, 763, 2296, 1004, 5433, 1152, 519, 844, 1853, 532, 540, 519, 13091, 267, 1498, 519, 6554, 729, 23494, 15372, 539, 693, 519, 15873, 626, 17431, 540, 4989, 476, 1015, 269, 898, 568, 711, 513, 2370, 7415, 1765, 296, 723, 519, 1650, 593, 29154, 6577, 781, 6392, 630, 5408, 29154, 6577, 781, 4325, 16696, 267, 533, 269, 476, 6812, 272, 28931, 7474, 950, 519, 3377, 6603, 5507, 540, 519, 31774, 540, 8402, 10218, 324, 267, 543, 729, 4547, 547, 519, 5600, 540, 12780, 267, 11184, 7917, 3212, 601, 18084, 936, 519, 6989, 540, 519, 5600, 547, 519, 3735, 6004, 9478, 670, 2541, 543, 1767, 267, 1412, 1607, 568, 1018, 1131, 723, 5949, 538, 4789, 952, 594, 1185, 711, 4735, 4705, 519, 12397, 16572, 267, 855, 1185, 4553, 519, 5796, 540, 1346, 1004, 10086, 15738, 609, 1010, 1688, 547, 519, 1394, 1649, 2583, 540, 519, 20271, 894, 5428, 1701, 4789, 729, 4061, 10710, 689, 834, 335, 11823, 257, 19717, 676, 606, 834, 324, 1595, 673, 257, 6963, 267, 2687, 547, 11184, 7917, 3212, 601, 563, 273, 661, 3052, 1421, 519, 21730, 949, 723, 2598, 652, 28344, 618, 952, 789, 786, 1489, 513, 5851, 14329, 3609, 585, 8581, 269, 0, 8450, 519, 2657, 589, 19053, 1888, 827, 1884, 659, 1749, 585, 811, 1344, 827, 713, 1826, 540, 4915, 269, 634, 7181, 3679, 9397, 1524, 519, 11940, 6242, 267, 799, 3123, 16698, 543, 5012, 547, 519, 2589, 540, 30724, 3878, 269, 634, 2589, 540, 30724, 3878, 630, 323, 903, 701, 1186, 807, 264, 616, 3361, 676, 7181, 3679, 4947, 883, 3346, 609, 519, 6213, 267, 8825, 16298, 630, 332, 1075, 6242, 264, 540, 707, 9667, 1062, 269, 1411, 949, 1995, 30724, 3878, 693, 1022, 1448, 1282, 707, 6379, 267, 4352, 707, 2589, 949, 581, 811, 7928, 543, 4049, 1282, 707, 3791, 959, 30478, 630, 5228, 3018, 476, 2767, 2394, 519, 4332, 540, 519, 4816, 1916, 32391, 2188, 585, 623, 11070, 538, 6379, 1331, 7296, 267, 29015, 267, 2566, 267, 14227, 4567, 267, 543, 513, 3105, 1686, 540, 623, 11070, 610, 4477, 545, 14385, 28894, 9461, 8819, 8539, 269, 6348, 3122, 18042, 6527, 616, 711, 513, 1455, 1981, 3815, 585, 623, 11070, 538, 6379, 8259, 538, 4999, 609, 17091, 609, 670, 28894, 9461, 269, 932, 1961, 1097, 560, 26618, 568, 8612, 538, 519, 4527, 540, 10770, 610, 20443, 2589, 267, 1713, 9422, 14207, 267, 543, 2597, 2530, 563, 303, 27389, 656, 2021, 609, 717, 26314, 1459, 13974, 547, 2043, 538, 519, 2489, 2551, 282, 29463, 543, 1036, 4026, 2787, 616, 519, 29039, 2589, 269, 634, 4791, 6268, 5161, 540, 513, 9488, 3461, 1686, 543, 2168, 6514, 282, 10368, 2090, 616, 10355, 2877, 269, 7736, 22000, 949, 581, 8612, 538, 2550, 609, 8374, 540, 717, 26314, 267, 543, 476, 2190, 16923, 5605, 17419, 9063, 2090, 666, 581, 3730, 538, 1346, 609, 693, 2988, 673, 14245, 630, 1122, 267, 11522, 267, 765, 22689, 267, 15319, 11563, 264, 543, 18195, 800, 2589, 269, 30887, 525, 23569, 17406, 2068, 630, 294, 26314, 1070, 3622, 1634, 607, 29463, 267, 568, 1455, 538, 6379, 543, 666, 723, 513, 2942, 1764, 593, 741, 646, 5306, 3146, 531, 1540, 2298, 540, 1272, 267, 3226, 3735, 538, 6379, 269, 30887, 14528, 630, 22835, 264, 4713, 2099, 930, 540, 519, 1034, 7928, 20286, 1282, 6379, 267, 7654, 1813, 538, 851, 547, 11506, 2157, 540, 1322, 6856, 821, 630, 1122, 267, 15353, 23218, 558, 1746, 267, 12884, 525, 15047, 601, 17406, 2068, 1496, 294, 26314, 8079, 543, 5924, 14382, 698, 1633, 1231, 630, 10972, 1551, 9996, 1916, 3849, 9330, 524, 2572, 1239, 689, 4791, 2090, 630, 10175, 811, 982, 476, 4335, 9176, 2021, 264, 543, 2022, 27360, 7566, 1995, 799, 1281, 711, 1397, 19341, 17219, 610, 4731, 845, 725, 1496, 5723, 18444, 5709, 1149, 3281, 754, 1756, 267, 476, 1001, 275, 4940, 901, 16252, 568, 31544, 543, 568, 1759, 593, 1018, 595, 16775, 15109, 547, 581, 1434, 4791, 2259, 269, 4014, 7988, 701, 1186, 807, 538, 6379, 568, 513, 1455, 10835, 267, 824, 5574, 616, 2139, 952, 2589, 616, 711, 6417, 676, 1582, 13282, 543, 6197, 3800, 563, 5278, 1884, 659, 1749, 616, 5916, 609, 1776, 1826, 540, 4915, 1634, 607, 606, 3473, 3729, 269, 901, 2337, 547, 14867, 30724, 3878, 3361, 676, 3679, 17406, 269, 18729, 17406, 4386, 950, 7181, 3679, 20984, 1394, 909, 883, 707, 522, 525, 20652, 630, 326, 592, 2280, 264, 543, 8886, 919, 922, 8825, 16298, 630, 332, 1075, 6242, 1040, 4107, 1004, 616, 4299, 676, 30724, 3878, 689, 942, 547, 942, 267, 855, 2021, 616, 1419, 4299, 676, 621, 1247, 789, 616, 9176, 269, 1306, 1082, 607, 476, 279, 856, 540, 476, 1015, 2021, 1995, 30724, 3878, 693, 930, 1448, 1282, 741, 6379, 563, 303, 27389, 656, 286, 5213, 1406, 16202, 901, 2710, 596, 917, 799, 1455, 3536, 949, 581, 19408, 1282, 6379, 286, 6258, 799, 3536, 547, 2057, 267, 1247, 9176, 267, 971, 607, 844, 525, 334, 16702, 267, 12899, 5779, 267, 6995, 543, 811, 269, 20050, 543, 2589, 602, 596, 949, 723, 1152, 952, 596, 616, 9176, 1331, 267, 15498, 566, 16081, 4771, 543, 11702, 267, 513, 3043, 267, 5144, 344, 21420, 11166, 267, 543, 707, 616, 15614, 610, 562, 31454, 4158, 523, 269, 634, 1152, 1259, 547, 1265, 856, 952, 596, 616, 9176, 568, 609, 513, 6379, 1449, 563, 22879, 9667, 20358, 269, 4787, 760, 519, 1614, 2462, 10945, 563, 763, 700, 2562, 311, 3926, 568, 606, 4228, 762, 8258, 540, 4496, 19273, 602, 8952, 7181, 3679, 689, 17406, 532, 883, 519, 24647, 267, 855, 2636, 1426, 547, 1780, 883, 519, 7181, 269, 15742, 3536, 666, 581, 1360, 5739, 585, 9176, 2021, 543, 741, 9002, 269, 901, 568, 513, 1592, 540, 476, 1556, 3536, 543, 10425, 602, 9176, 2021, 1058, 2057, 269, 1403, 596, 723, 29463, 602, 1419, 530, 1389, 596, 909, 693, 3781, 267, 7024, 607, 4166, 607, 707, 1884, 29403, 31273, 1055, 267, 610, 5932, 824, 2589, 630, 7945, 607, 7411, 24948, 267, 23472, 267, 2597, 2530, 267, 610, 3109, 588, 8962, 1070, 596, 949, 723, 513, 811, 3978, 1966, 602, 3340, 3007, 269, 2659, 4387, 949, 13209, 596, 609, 717, 26314, 563, 299, 289, 294, 769, 1250, 2259, 267, 594, 7237, 2021, 945, 616, 14719, 908, 6379, 811, 4122, 982, 2021, 945, 616, 2907, 9176, 282, 2899, 2021, 1831, 9176, 267, 741, 6188, 13011, 2103, 2356, 1491, 936, 2359, 267, 1519, 2359, 540, 717, 26314, 2589, 269, 634, 3390, 540, 2436, 623, 18444, 3797, 1058, 581, 19944, 4240, 568, 513, 1455, 1888, 540, 6643, 609, 1250, 717, 26314, 2550, 945, 616, 14719, 908, 6379, 269, 769, 891, 2550, 267, 594, 2356, 4363, 10151, 29696, 540, 623, 18444, 3797, 1282, 17748, 543, 6379, 267, 952, 7109, 730, 267, 855, 594, 849, 2491, 602, 519, 6165, 540, 891, 8069, 814, 1044, 7152, 547, 581, 2922, 543, 267, 4061, 267, 789, 1058, 581, 1031, 952, 2877, 269, 0, 294, 328, 2224, 28500, 10011, 580, 331, 7748, 630, 421, 481, 492, 4970, 500, 14395, 479, 282, 700, 5451, 978, 3333, 383, 361, 333, 6403, 978, 264, 630, 866, 5147, 476, 12739, 279, 1107, 476, 1704, 5147, 476, 12293, 277, 1070, 729, 606, 7969, 20908, 3726, 29966, 543, 606, 7376, 693, 519, 11440, 5480, 540, 1614, 900, 30752, 1107, 519, 918, 836, 3495, 267, 962, 784, 345, 26907, 543, 1627, 1014, 14075, 900, 30752, 563, 3891, 13556, 538, 513, 2511, 602, 568, 513, 12760, 540, 3864, 543, 4457, 5389, 563, 268, 634, 20908, 7057, 693, 519, 4457, 15875, 7040, 454, 268, 932, 12437, 24809, 281, 4457, 2686, 7506, 538, 22733, 2540, 2342, 2676, 268, 476, 280, 4457, 7111, 12518, 602, 4957, 5375, 1426, 2528, 543, 6208, 454, 268, 476, 1015, 1977, 7111, 12518, 602, 4957, 4457, 1426, 2528, 543, 6208, 454, 268, 476, 1789, 266 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 513, 3119, 2634, 10510, 616, 14331, 267, 17465, 267, 3965, 2042, 267, 7209, 2242, 267, 543, 15353, 543, 13481, 269, 15486, 543, 1981, 2188, 1331, 2085, 267, 4008, 267, 1920, 1686, 267, 543, 4598, 547, 6464, 269, 9615, 568, 5673, 2390, 519, 10510, 1826, 267, 3446, 267, 543, 4087, 563, 291, 1047, 1162, 267, 10108, 543, 7063, 269, 1703, 616, 1896, 2564, 2175, 602, 666, 2014, 13046, 269, 1452, 1331, 9093, 328, 699, 779, 2068, 267, 9389, 558, 663, 24212, 4745, 4713, 630, 26774, 297, 1070, 2212, 610, 8405, 7063, 267, 2634, 12970, 267, 3092, 269, 4107, 1004, 1810, 1406, 917, 952, 789, 723, 9093, 328, 699, 779, 2068, 2394, 5265, 8995, 269, 901, 681, 22664, 2068, 6770, 593, 21994, 267, 13046, 543, 1274, 2604, 602, 666, 2063, 585, 513, 2110, 1974, 540, 942, 543, 1287, 7106, 8986, 269, 25633, 297, 3123, 1928, 538, 707, 10265, 6091, 269, 2060, 25633, 297, 267, 596, 3580, 1419, 5873, 513, 14467, 6846, 950, 21400, 269, 25633, 297, 814, 3254, 547, 3310, 707, 8458, 540, 3384, 13046, 267, 865, 581, 2386, 547, 1521, 519, 2783, 538, 1931, 547, 2569, 707, 8458, 540, 3478, 13046, 269, 10361, 543, 8405, 7063, 723, 849, 1044, 3254, 547, 2014, 13046, 267, 865, 2141, 5957, 707, 24743, 950, 596, 2461, 856, 31610, 543, 5397, 9108, 950, 596, 2461, 538, 707, 1286, 11065, 601, 10079, 621, 610, 711, 267, 855, 13046, 666, 581, 3361, 676, 1945, 607, 2241, 607, 606, 1274, 3968, 269, 5213, 1406, 1491, 1274, 5563, 21066, 789, 666, 581, 14042, 693, 1022, 2085, 269, 11020, 12970, 267, 1247, 8449, 607, 4686, 607, 9093, 328, 699, 779, 2068, 267, 666, 849, 5352, 13046, 2589, 269, 2755, 596, 666, 13468, 707, 13046, 5612, 609, 606, 936, 519, 4831, 13046, 2126, 267, 596, 1058, 849, 3343, 519, 948, 540, 513, 13046, 11285, 538, 707, 1858, 547, 3313, 1018, 519, 5817, 2014, 540, 707, 13046, 568, 563, 307, 11624, 849, 1223, 581, 519, 1267, 540, 8849, 11387, 16207, 856, 540, 3666, 950, 3441, 538, 519, 6418, 1274, 2242, 15202, 2534, 538, 519, 17391, 16794, 267, 519, 851, 540, 519, 2634, 602, 3157, 3280, 269, 2107, 621, 1223, 581, 519, 1267, 540, 9402, 4205, 1063, 8849, 11387, 269, 634, 8849, 11387, 3238, 538, 6217, 5749, 1406, 9003, 6131, 547, 4393, 3280, 269, 1358, 849, 5968, 609, 824, 2694, 540, 519, 2634, 267, 971, 607, 519, 18215, 545, 3148, 267, 799, 21560, 7099, 543, 7553, 563, 307, 11624, 666, 2049, 607, 513, 3207, 4524, 910, 910, 10472, 568, 1572, 519, 834, 30161, 5317, 2212, 6794, 2668, 901, 1034, 1419, 4386, 1247, 9991, 18069, 610, 24971, 909, 269, 898, 568, 513, 14831, 3585, 10978, 6846, 269, 2368, 17695, 1125, 602, 713, 6794, 568, 1813, 547, 513, 5618, 23069, 538, 17391, 16794, 269, 898, 568, 711, 5906, 15301, 16675, 476, 1220, 272, 282, 6022, 16554, 543, 966, 2795, 333, 476, 1001, 271, 1040, 8298, 1227, 267, 1884, 6625, 341, 6160, 1218, 1522, 581, 3730, 585, 2126, 563, 15404, 2193, 838, 553, 916, 281, 570, 11624, 602, 568, 4330, 607, 14467, 949, 581, 1813, 547, 17244, 602, 2014, 519, 4887, 538, 519, 8122, 540, 519, 5023, 630, 25659, 622, 264, 547, 979, 883, 838, 11047, 269, 901, 3123, 519, 661, 755, 778, 1014, 8546, 267, 799, 2337, 3160, 1125, 2604, 538, 519, 10772, 267, 547, 14578, 1930, 543, 2673, 269, 13038, 26379, 543, 824, 11719, 545, 3676, 602, 616, 2404, 609, 4887, 838, 553, 916, 949, 849, 581, 513, 2014, 540, 13046, 267, 607, 789, 949, 1291, 547, 838, 553, 916, 540, 1978, 6091, 538, 519, 1647, 1274, 602, 666, 2014, 519, 16625, 14467, 563, 1432, 1281, 646, 1611, 676, 968, 1742, 909, 538, 519, 2634, 892, 286, 26243, 267, 1945, 602, 3123, 1256, 10151, 6217, 3441, 2443, 971, 607, 4598, 547, 1360, 10978, 6846, 610, 513, 9514, 547, 519, 2212, 2443, 666, 1689, 2534, 3270, 538, 519, 2634, 538, 2081, 602, 2014, 519, 30366, 269, 4634, 1498, 930, 3441, 610, 1966, 538, 519, 1274, 15427, 13046, 547, 2253, 609, 267, 596, 3136, 547, 5873, 519, 3280, 596, 798, 1317, 540, 513, 5365, 689, 519, 2634, 563, 4263, 14675, 28057, 24651, 4741, 267, 649, 8415, 513, 3099, 540, 2963, 2861, 13046, 2126, 3681, 269, 4107, 24384, 5505, 1152, 2709, 835, 3070, 267, 6217, 11226, 267, 799, 616, 23696, 538, 1082, 2665, 269, 1677, 1521, 1142, 2189, 2013, 540, 13046, 267, 649, 8415, 513, 3099, 540, 5499, 4066, 543, 11257, 267, 1519, 570, 11624, 4825, 20995, 10657, 630, 15045, 307, 1040, 1280, 811, 1344, 827, 707, 13046, 2126, 3681, 267, 3643, 938, 2985, 570, 11624, 9615, 269, 1403, 596, 2461, 14126, 602, 596, 4465, 1406, 2479, 9101, 519, 30366, 538, 707, 10772, 267, 2638, 856, 938, 2985, 570, 11624, 11773, 12267, 269, 7053, 267, 1246, 938, 9669, 689, 570, 11624, 20226, 547, 2057, 12615, 908, 519, 1966, 563, 307, 11624, 630, 29455, 27764, 5991, 328, 2389, 529, 1070, 610, 30366, 538, 519, 10772, 267, 568, 519, 14815, 540, 6217, 30366, 267, 18388, 532, 267, 1010, 28410, 267, 669, 597, 4771, 267, 627, 626, 1782, 267, 610, 824, 4992, 269, 634, 6846, 666, 581, 26740, 610, 6024, 267, 543, 666, 4268, 538, 10978, 1145, 269, 898, 568, 1419, 8338, 950, 4282, 6846, 568, 1970, 267, 865, 596, 949, 581, 1034, 3222, 540, 621, 693, 3781, 950, 596, 2811, 3843, 547, 2887, 18069, 538, 513, 9602, 4055, 269, 769, 4686, 2665, 267, 519, 3280, 20054, 538, 5348, 322, 609, 707, 2295, 630, 335, 6160, 8684, 13046, 1040, 0, 763, 5075, 540, 13119, 630, 12487, 264, 538, 1453, 814, 9867, 538, 2487, 1296, 267, 1759, 593, 519, 1702, 602, 13119, 538, 4079, 814, 922, 8129, 538, 6689, 1547, 10226, 288, 538, 1453, 814, 1044, 19765, 13846, 676, 930, 2564, 4648, 267, 1082, 2015, 621, 606, 2937, 2068, 267, 543, 1866, 5431, 922, 12614, 538, 18273, 1547, 25667, 267, 2808, 519, 15435, 540, 519, 476, 2641, 560, 2540, 267, 568, 849, 1459, 538, 6689, 267, 543, 814, 8329, 547, 519, 2333, 538, 13119, 538, 1453, 543, 10708, 267, 543, 547, 519, 6228, 540, 519, 10894, 6794, 267, 799, 5787, 919, 19473, 29912, 543, 4679, 519, 7872, 540, 1418, 9525, 269, 667, 10005, 269, 25667, 267, 5916, 609, 824, 2188, 267, 971, 607, 1970, 4332, 2597, 267, 666, 3648, 2333, 519, 1981, 540, 3384, 10226, 1547, 898, 568, 1134, 6444, 602, 10226, 568, 513, 9025, 1981, 3815, 267, 543, 602, 538, 15296, 621, 8309, 547, 24896, 543, 9019, 689, 26961, 658, 1102, 541, 794, 267, 8482, 267, 7249, 24304, 2295, 5821, 267, 15672, 15466, 2068, 267, 30636, 14527, 267, 543, 1439, 22533, 17669, 2068, 267, 865, 898, 814, 1044, 6444, 519, 991, 547, 1491, 1973, 2604, 693, 2547, 2899, 513, 1032, 689, 476, 274, 1296, 540, 2085, 267, 543, 547, 957, 2038, 593, 519, 1981, 2188, 585, 9025, 2068, 267, 1312, 538, 519, 1126, 543, 538, 741, 1920, 2818, 1547, 634, 6482, 540, 10552, 2604, 1131, 948, 519, 5868, 543, 2038, 2126, 540, 28105, 29998, 2400, 1453, 543, 10708, 267, 1354, 8374, 610, 29854, 538, 519, 3077, 8219, 2049, 4586, 2005, 568, 1271, 547, 4063, 602, 519, 3119, 1072, 1416, 10629, 454, 680, 904, 606, 1271, 1909, 538, 519, 3119, 6604, 540, 519, 2068, 2676, 716, 532, 593, 519, 1981, 2188, 602, 519, 10867, 6799, 269, 17497, 267, 519, 454, 10972, 1725, 2670, 540, 13119, 538, 1453, 6799, 1271, 2042, 2676, 20357, 972, 568, 711, 606, 7850, 8226, 540, 1981, 827, 519, 454, 323, 1047, 848, 676, 930, 4648, 267, 1175, 607, 972, 616, 1360, 1906, 1453, 454, 15367, 616, 7006, 10234, 607, 29998, 2400, 267, 543, 6368, 267, 519, 10916, 540, 454, 29188, 2604, 568, 711, 851, 540, 519, 12963, 2168, 6514, 563, 12487, 288, 568, 513, 12947, 716, 3645, 2068, 267, 954, 22366, 609, 2825, 454, 2399, 832, 267, 799, 814, 1044, 2810, 609, 1007, 16283, 19824, 2676, 338, 539, 23358, 1272, 543, 4189, 6208, 267, 799, 4043, 547, 3728, 3536, 543, 3536, 454, 5035, 1881, 607, 968, 329, 6064, 5608, 540, 2370, 9422, 1871, 267, 609, 4430, 6070, 267, 3170, 454, 663, 14836, 1547, 4400, 1973, 2604, 568, 711, 513, 1360, 7928, 1966, 454, 514, 12963, 338, 267, 3379, 547, 15296, 267, 2705, 267, 950, 621, 4386, 2676, 1492, 4539, 666, 581, 1360, 3978, 1547, 4400, 1973, 2604, 454, 263, 30104, 11364, 264, 538, 12963, 2085, 814, 2799, 538, 2487, 1296, 1813, 547, 454, 1492, 2333, 538, 14968, 543, 8377, 269, 1323, 16977, 9860, 454, 1993, 476, 274, 547, 476, 276, 260, 568, 6059, 538, 519, 2136, 2276, 540, 3013, 267, 799, 454, 16673, 581, 2362, 538, 1978, 6803, 2516, 971, 607, 3979, 4892, 2676, 300, 1410, 15092, 267, 543, 3571, 3966, 923, 269, 2368, 9678, 13664, 2127, 723, 454, 516, 19959, 909, 547, 476, 1015, 9077, 543, 538, 519, 17324, 621, 666, 3914, 909, 547, 476, 1556, 260, 1496, 272, 268, 276, 14073, 312, 8986, 3516, 267, 6281, 10226, 729, 2808, 547, 581, 519, 1034, 7928, 1106, 540, 6881, 538, 1453, 267, 855, 972, 568, 4867, 519, 21205, 602, 1898, 610, 3119, 10226, 4386, 811, 4749, 538, 12963, 6502, 267, 14356, 1813, 547, 519, 2333, 538, 8377, 538, 15435, 17114, 267, 607, 1134, 607, 16283, 19824, 1547, 634, 22294, 538, 519, 2126, 540, 10226, 568, 1875, 14428, 29108, 1670, 2126, 267, 610, 14842, 540, 19824, 267, 799, 1256, 950, 519, 3461, 2115, 3075, 2126, 267, 666, 2760, 10205, 1547, 14171, 1973, 2604, 538, 519, 12963, 30229, 16758, 568, 513, 2241, 267, 1875, 29554, 543, 2656, 5650, 267, 621, 1590, 723, 519, 3937, 538, 1434, 2783, 543, 519, 4998, 2450, 838, 1506, 326, 332, 2674, 10309, 524, 4428, 267, 547, 4163, 856, 606, 7850, 6482, 543, 538, 519, 1655, 2175, 547, 2057, 1476, 16272, 1547, 634, 1034, 1271, 3364, 538, 6689, 10226, 568, 922, 6604, 267, 543, 6689, 568, 519, 4998, 942, 585, 621, 269, 634, 4387, 1590, 581, 3222, 540, 519, 2068, 543, 4061, 1590, 1491, 519, 2604, 18928, 607, 851, 540, 519, 12963, 2168, 6514, 269, 898, 568, 2556, 547, 9004, 519, 896, 516, 1636, 532, 540, 519, 2068, 538, 1931, 547, 1521, 621, 538, 513, 12905, 6073, 543, 3976, 2057, 8374, 538, 15296, 563, 268, 700, 584, 2041, 661, 267, 3331, 479, 331, 29166, 345, 808, 267, 4414, 517, 808, 630, 1001, 271, 264, 23369, 543, 9615, 540, 15214, 11364, 538, 5753, 269, 4354, 337, 20812, 13630, 839, 3115, 476, 1321, 263, 277, 2567, 476, 21878, 268, 4366, 277, 563, 268, 5062, 9197, 26295, 645, 310, 630, 1001, 271, 264, 10495, 543, 2359, 540, 13119, 538, 1453, 543, 611, 3421, 30105, 269, 7186, 17352, 9315, 5735, 476, 278, 263, 274, 2567, 476, 14028, 268, 14321, 563, 268, 3171, 828, 808, 267, 8575, 515, 523, 589, 630, 1001, 271, 264, 15214, 11364, 538, 1453, 281, 1007, 3466, 543, 2591, 269, 11916, 3163, 476, 15686, 263, 275, 2567, 476, 14681, 268, 14065, 563, 268, 630, 1220, 275, 264, 2817, 4400, 10552, 16242, 4065, 5358, 11554, 6828, 593, 4400, 10552, 18208, 675, 796, 5753, 543, 32183, 269, 634, 19549, 7797, 593, 519, 5868, 267, 24834, 6672, 267, 543, 2126, 540, 4400, 10552, 16242, 538, 5753, 543, 20390, 30105, 10422, 8824, 338, 476, 14625, 263, 273, 2567, 476, 27898, 268, 6872, 277, 563, 268, 700, 584, 2041, 661, 267, 595, 604, 330, 13960, 681, 267, 14265, 6506, 327, 1678, 808, 298, 267, 667, 650, 517, 631, 297, 267, 12113, 516, 4275, 594, 267, 1696, 620, 269, 630, 1001, 271, 264, 631, 2033, 329, 1712, 3288, 28624, 13630, 839, 18059, 27555, 679, 562, 328, 10722, 657, 586, 15730, 525, 281, 973, 558, 754, 30685, 525, 632, 3288, 306, 665, 1221, 611, 2342, 320, 632, 19743, 13630, 839, 328, 6759, 1323, 303, 2664, 520, 337, 630, 289, 2117, 264, 476, 10463, 263, 272, 2567, 476, 7906, 4318, 272, 268, 7906, 4318, 2764, 563, 268, 24510, 777, 584, 681, 267, 30781, 5451, 548, 345, 681, 630, 1220, 279, 264, 19743, 13630, 839, 18059, 27555, 586, 27615, 1842, 1965, 2133, 525, 269, 2871, 17144, 16948, 3288, 840, 1597, 857, 11252, 267, 3208, 6759, 560, 4815, 586, 959, 520, 600, 1304, 334, 632, 3288, 28624, 13630, 839, 18059, 27555, 269, 1290, 529, 18059, 715, 659, 1308, 570, 2946, 322, 333, 4815, 1306, 525, 7702, 1642, 5358, 320, 632, 19743, 13630, 839, 18059, 1488, 614, 658, 1496, 12221, 549, 679, 5769, 4940, 5487, 13206, 3570, 281, 32000, 632, 595, 1329, 857, 553, 631 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1711, 14850, 335, 5803, 3435, 602, 1568, 585, 707, 1870, 267, 13539, 610, 8630, 269, 1284, 1174, 519, 1820, 543, 4191, 1870, 267, 543, 917, 519, 1764, 11110, 2237, 606, 2502, 543, 3015, 1576, 1770, 538, 513, 1837, 585, 1647, 1153, 1053, 1644, 547, 519, 1349, 1657, 267, 2519, 593, 834, 19530, 13870, 257, 607, 851, 540, 834, 291, 2464, 22218, 1315, 18753, 8551, 1315, 4937, 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, 4495, 2390, 513, 942, 267, 538, 513, 1507, 4884, 1572, 3203, 6807, 267, 5030, 1614, 1655, 2828, 910, 623, 10154, 519, 18048, 267, 27385, 519, 9380, 528, 267, 543, 3131, 1097, 519, 1685, 518, 269, 1358, 6068, 2870, 1148, 543, 4687, 621, 609, 3025, 538, 519, 4884, 269, 2290, 1554, 267, 789, 4956, 547, 979, 593, 513, 3460, 547, 1451, 875, 1114, 2010, 540, 1148, 3029, 2992, 543, 3337, 2686, 2418, 543, 12716, 7375, 538, 1585, 7239, 780, 2026, 789, 14612, 2484, 543, 2647, 267, 789, 1101, 1558, 6004, 269, 20266, 27591, 267, 513, 8797, 2025, 7376, 945, 6026, 873, 827, 7206, 269, 1261, 6045, 602, 7206, 729, 513, 1259, 547, 7001, 519, 1158, 1472, 721, 267, 543, 602, 1018, 649, 3442, 547, 5862, 3081, 513, 2603, 827, 938, 2528, 543, 2418, 269, 834, 1103, 519, 11193, 1974, 2437, 646, 1767, 267, 834, 15161, 13556, 10853, 2592, 540, 4984, 1317, 602, 781, 1018, 20974, 1229, 1034, 547, 873, 1701, 3973, 267, 1282, 519, 476, 736, 628, 2540, 267, 1004, 3323, 19234, 609, 7493, 1148, 267, 799, 4951, 513, 6521, 2509, 1367, 1143, 543, 5876, 780, 9202, 267, 789, 11402, 15516, 269, 11908, 267, 513, 12021, 9380, 528, 945, 5189, 873, 547, 519, 1158, 540, 17001, 269, 2701, 6045, 602, 17001, 1223, 1491, 1082, 3029, 267, 689, 2757, 5515, 547, 7493, 6272, 269, 769, 930, 4529, 267, 1352, 7074, 267, 1004, 9053, 3076, 601, 833, 24112, 1500, 856, 540, 6149, 610, 4496, 267, 1247, 1866, 15874, 811, 2413, 543, 8766, 626, 4773, 269, 834, 1432, 6927, 1034, 2437, 1352, 15091, 267, 834, 529, 711, 1152, 875, 1945, 5654, 855, 849, 519, 2495, 3297, 621, 3010, 7661, 267, 789, 16686, 2390, 7905, 623, 32631, 267, 513, 10707, 1685, 518, 945, 3838, 1010, 1702, 827, 12644, 269, 3245, 14364, 547, 7544, 267, 646, 7152, 875, 1142, 1826, 540, 2773, 24829, 2189, 6835, 827, 513, 1880, 2528, 269, 1261, 11329, 856, 602, 1256, 2575, 543, 3280, 2360, 5129, 1898, 5107, 538, 5935, 513, 2146, 781, 3961, 780, 4913, 267, 1310, 13059, 1753, 267, 519, 2468, 334, 7691, 602, 5103, 1620, 875, 1148, 10630, 543, 8032, 824, 4529, 267, 789, 17388, 547, 2697, 519, 1482, 3270, 538, 3203, 6807, 269, 4762, 4310, 267, 789, 14059, 11427, 269, 11709, 717, 26710, 267, 519, 2199, 9754, 1225, 1807, 267, 5275, 4267, 269, 1677, 741, 9983, 267, 1352, 7000, 602, 3203, 6807, 1185, 4503, 5905, 609, 922, 5072, 1813, 547, 4028, 6639, 7760, 269, 4658, 1100, 3476, 12595, 2757, 1148, 3029, 6862, 6956, 519, 2956, 540, 8497, 741, 6561, 780, 4537, 18088, 676, 713, 13414, 267, 623, 10154, 267, 27385, 267, 543, 3131, 1097, 26823, 3022, 547, 2847, 633, 3203, 6807, 781, 7499, 5389, 267, 9256, 1312, 5929, 543, 4207, 6163, 269, 1635, 10128, 3621, 3741, 883, 741, 11247, 267, 899, 5133, 538, 7206, 267, 3666, 538, 17001, 267, 543, 11733, 538, 2773, 267, 789, 6322, 547, 8141, 7279, 1851, 8284, 4961, 827, 741, 2250, 1247, 8508, 5647, 269, 4014, 1689, 7012, 1405, 7525, 267, 936, 942, 267, 3203, 6807, 2699, 4593, 2642, 922, 3638, 2686, 13795, 267, 18445, 602, 2257, 543, 1148, 8197, 1118, 3532, 4891, 538, 5935, 2950, 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, 22081, 798, 1114, 2010, 540, 1148, 3029, 267, 971, 607, 7206, 267, 17001, 267, 543, 2773, 267, 2992, 543, 3337, 2686, 2418, 543, 12716, 7375, 538, 1585, 7239, 888, 17843, 2010, 540, 1148, 3029, 267, 971, 607, 7206, 267, 17001, 267, 543, 2773, 267, 2992, 543, 3337, 2686, 2418, 543, 12716, 7375, 538, 1585, 7239, 538, 1114, 2081, 780, 303, 31021, 281, 27006, 568, 513, 3308, 1148, 1106, 602, 814, 1044, 1031, 2429, 1686, 547, 2992, 543, 3337, 2686, 2418, 543, 12716, 7375, 269, 1280, 1383, 267, 11193, 10367, 941, 8037, 585, 741, 17779, 543, 3909, 4798, 267, 10452, 519, 2686, 543, 3909, 2418, 540, 519, 942, 269, 4438, 519, 476, 736, 628, 2540, 267, 7493, 1148, 2968, 2442, 267, 10452, 513, 6521, 2509, 1367, 1143, 543, 17634, 538, 2486, 780, 306, 1529, 20567, 281, 31493, 20567, 568, 1776, 3308, 1148, 1106, 602, 9356, 543, 5546, 2686, 2418, 543, 12716, 7375, 269, 31493, 20567, 666, 1491, 1082, 3029, 267, 689, 2757, 27461, 18810, 547, 7493, 18810, 269, 1280, 1383, 267, 2757, 19562, 520, 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, 563, 268, 16992, 543, 5188, 281, 1711, 12300, 3197, 945, 4497, 538, 6209, 7391, 267, 4543, 547, 2491, 543, 2263, 519, 2257, 2035, 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, 269, 0, 645, 2940, 987, 519, 9597, 5652, 7297, 540, 519, 3500, 2173, 8221, 5757, 267, 519, 22916, 8127, 3957, 9866, 22941, 804, 2426, 32344, 569, 547, 1010, 12440, 540, 7725, 269, 3571, 13494, 333, 2801, 1000, 17097, 6179, 3585, 267, 15392, 519, 11029, 2242, 538, 519, 14768, 1472, 1864, 910, 2242, 646, 6785, 941, 2484, 689, 2067, 269, 1280, 1296, 267, 713, 22471, 559, 7944, 1185, 1044, 1010, 25113, 267, 5356, 1365, 924, 689, 519, 10792, 19178, 540, 1272, 538, 5488, 1922, 27172, 12535, 269, 1809, 1631, 267, 1256, 1934, 267, 1919, 941, 993, 1170, 780, 3080, 1554, 267, 1247, 1085, 18636, 1782, 2059, 519, 5757, 5523, 267, 9866, 22941, 11402, 1776, 530, 714, 2989, 2025, 22916, 8127, 1572, 3057, 1076, 269, 1358, 22121, 6616, 1350, 1734, 1354, 2502, 538, 513, 8152, 1117, 6643, 267, 4743, 519, 2597, 540, 5539, 2509, 741, 2146, 780, 11321, 1076, 4280, 267, 834, 5970, 596, 8068, 875, 22376, 1375, 880, 938, 1762, 3283, 616, 891, 2395, 286, 4256, 1648, 4667, 1094, 5529, 282, 972, 781, 1945, 1055, 827, 873, 3010, 25332, 22941, 21330, 32444, 569, 269, 834, 8133, 267, 8197, 269, 898, 16716, 803, 607, 15116, 1862, 16393, 621, 581, 1813, 547, 519, 7771, 538, 1216, 2095, 12482, 4415, 19385, 766, 267, 3057, 1076, 15861, 1200, 27421, 269, 4173, 5639, 729, 5230, 950, 1352, 1767, 267, 834, 296, 4250, 649, 1522, 723, 8329, 547, 713, 19261, 676, 31392, 519, 3425, 25318, 2569, 519, 1216, 2095, 547, 13918, 938, 2115, 1282, 12387, 1154, 4005, 2063, 1032, 3010, 288, 5951, 540, 16203, 18233, 936, 9866, 22941, 269, 1261, 20402, 2436, 741, 7287, 585, 4313, 26788, 19042, 519, 1279, 3856, 1942, 593, 741, 2104, 5481, 780, 29310, 267, 789, 4956, 547, 5077, 9632, 23421, 945, 5030, 19654, 1141, 519, 7297, 10443, 18334, 269, 1306, 789, 3460, 539, 1927, 267, 789, 14754, 20250, 519, 22880, 4334, 1063, 1585, 9249, 4299, 676, 12012, 2095, 3928, 1107, 930, 14762, 267, 1866, 10010, 780, 26796, 8757, 23421, 267, 1352, 19557, 32348, 547, 741, 4145, 269, 2991, 513, 15826, 23249, 267, 1352, 10294, 267, 834, 2171, 3112, 11716, 519, 4539, 540, 938, 3664, 1022, 3476, 269, 1284, 1590, 9029, 547, 1346, 9013, 519, 1216, 2095, 543, 1265, 1647, 2666, 3010, 5445, 8815, 2898, 27329, 569, 267, 16734, 602, 11495, 513, 10347, 3666, 1131, 2327, 741, 6668, 1510, 18731, 519, 8699, 540, 15231, 8134, 269, 4935, 3459, 513, 3126, 540, 19929, 543, 16395, 1851, 1114, 13421, 540, 22916, 8127, 2950, 267, 5555, 4611, 538, 19620, 513, 7059, 2095, 2557, 780, 7021, 942, 267, 519, 4191, 540, 24715, 566, 535, 12184, 2476, 267, 8719, 2899, 1586, 676, 18512, 267, 17615, 2156, 16104, 540, 22916, 8127, 31655, 4730, 9624, 7347, 10664, 269, 2755, 10452, 2390, 1018, 1223, 723, 3362, 5828, 883, 26464, 10969, 566, 267, 519, 22242, 7691, 602, 1620, 22524, 2570, 1890, 543, 4509, 10103, 1369, 2470, 729, 4105, 585, 782, 7068, 1390, 543, 1507, 269, 0, 2237, 513, 8903, 1650, 1644, 547, 519, 1739, 1257, 6256, 912, 18658, 568, 519, 1764, 540, 1216, 2095, 2557, 593, 22916, 8127, 6668, 543, 12093, 888, 2026, 606, 3642, 1893, 2203, 267, 594, 1810, 1405, 723, 1569, 547, 2487, 1382, 610, 2090, 269, 1717, 267, 538, 2489, 267, 1216, 2095, 2557, 666, 723, 513, 1713, 1764, 593, 22916, 8127, 6668, 543, 12093, 269, 595, 2001, 8127, 2154, 513, 1978, 2095, 540, 1216, 547, 2226, 519, 1072, 540, 741, 7226, 543, 5135, 2157, 269, 634, 6099, 2095, 2557, 5673, 593, 519, 2249, 267, 855, 538, 2489, 267, 22916, 8127, 798, 1134, 538, 9793, 547, 1164, 2095, 3928, 269, 4400, 2095, 3928, 949, 581, 6225, 585, 22916, 8127, 12093, 607, 789, 666, 948, 15814, 5798, 543, 2333, 519, 8244, 540, 5135, 269, 1717, 267, 7050, 2095, 3928, 666, 581, 17672, 547, 22916, 8127, 6668, 267, 607, 789, 666, 1291, 547, 2799, 2566, 267, 5945, 267, 543, 12761, 269, 2201, 519, 824, 1688, 267, 1970, 2095, 3928, 666, 1291, 547, 8519, 5135, 2157, 543, 519, 13250, 540, 3653, 267, 3056, 547, 513, 6175, 538, 22916, 8127, 6668, 543, 12093, 269, 4475, 267, 621, 568, 1898, 547, 2226, 513, 1697, 543, 7123, 2095, 2557, 585, 519, 1655, 2009, 7226, 9232, 692, 763, 1650, 3085, 1406, 991, 547, 2446, 3388, 538, 519, 6256, 267, 946, 621, 1175, 585, 6667, 543, 581, 3860, 2336, 763, 1650, 1058, 6451, 519, 1739, 2609, 912, 268, 15511, 281, 519, 1650, 1590, 4183, 693, 2547, 835, 6209, 5188, 602, 8761, 1915, 3178, 267, 8441, 519, 4729, 267, 610, 28807, 513, 2629, 4062, 540, 519, 9814, 3097, 268, 21624, 4798, 281, 2263, 4798, 22298, 609, 513, 9921, 5304, 267, 971, 607, 5837, 13509, 267, 16650, 14511, 267, 2123, 7004, 267, 610, 519, 4539, 540, 2250, 3527, 563, 2710, 711, 1376, 609, 5929, 5220, 899, 834, 5629, 2390, 513, 942, 2580, 834, 763, 3141, 8288, 1970, 538, 519, 6607, 257, 610, 834, 1103, 519, 27452, 1396, 2580, 581, 3860, 269, 0, 4985, 1384, 23458, 568, 513, 4909, 2460, 540, 1480, 2528, 267, 5935, 875, 649, 13498, 543, 2170, 609, 519, 1158, 1472, 721, 269, 2290, 3226, 10578, 1858, 1369, 1893, 543, 2528, 568, 519, 1353, 540, 875, 1114, 7239, 4020, 543, 21907, 2495, 998, 11407, 827, 16750, 9988, 971, 607, 1629, 976, 267, 14326, 267, 543, 24587, 269, 901, 1576, 1770, 12538, 883, 713, 4241, 1888, 676, 6313, 1585, 2686, 6386, 4478, 2893, 23307, 5515, 538, 4207, 1977, 2486, 267, 5373, 2390, 11356, 24657, 543, 1433, 10643, 602, 4183, 4798, 540, 15896, 267, 608, 528, 322, 1143, 267, 543, 3909, 4655, 269, 3414, 2565, 2079, 540, 891, 5931, 267, 649, 786, 2263, 6626, 1514, 3621, 2152, 1519, 10236, 1670, 6436, 540, 12572, 1949, 267, 10409, 25536, 267, 1379, 6384, 267, 543, 2686, 3961, 5250, 269, 1635, 2502, 609, 891, 1950, 2093, 267, 596, 786, 2744, 513, 4514, 7071, 585, 519, 2081, 538, 799, 1893, 1312, 9356, 543, 5546, 938, 3309, 2686, 2833, 780, 272, 269, 23008, 2065, 4039, 18356, 543, 13507, 545, 7010, 692, 4263, 922, 4295, 267, 10409, 25536, 29102, 602, 519, 2497, 540, 513, 2016, 1893, 7506, 922, 10529, 262, 5042, 3157, 267, 3056, 873, 547, 30387, 543, 4612, 4641, 8335, 982, 1346, 945, 3717, 824, 4654, 269, 16792, 713, 1523, 547, 938, 6514, 540, 2893, 23307, 6386, 538, 1977, 2923, 267, 621, 3587, 10423, 602, 1880, 1167, 27641, 3270, 7866, 15520, 1808, 24300, 540, 1434, 5288, 269, 9409, 267, 13919, 267, 543, 17035, 269, 1280, 3236, 267, 2015, 875, 2474, 899, 834, 335, 1601, 11970, 2437, 834, 1410, 528, 322 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1157, 18350, 1564, 263, 1314, 10947, 318, 868, 1157, 18350, 1564, 19572, 10047, 815, 476, 3393, 264, 21506, 825, 4949, 11859, 9471, 6745, 1157, 4671, 641, 3890, 21506, 825, 952, 2281, 318, 29019, 318, 2041, 5334, 32464, 6769, 1038, 4949, 15630, 318, 553, 1051, 2891, 16029, 8442, 476, 5897, 825, 952, 2140, 568, 711, 7183, 6769, 1038, 2140, 6834, 476, 274, 2608, 27719, 333, 257, 1948, 1975, 5217, 1063, 1283, 7852, 6003, 543, 2140, 1477, 1038, 12301, 26644, 6025, 1856, 267, 13944, 7076, 815, 834, 321, 1245, 2580, 23935, 1125, 815, 476, 1240, 10142, 825, 12301, 6745, 697, 9078, 599, 719, 3890, 21506, 825, 12301, 4732, 1511, 14808, 6600, 32327, 267, 546, 7032, 815, 546, 7032, 3418, 825, 12301, 25379, 6025, 1856, 3418, 825, 2132, 6936, 24653, 5035, 6301, 20360, 578, 6025, 330, 12171, 9347, 8029, 825, 5727, 13900, 704, 4147, 585, 2679, 519, 717, 21397, 269, 21506, 825, 1230, 13935, 2409, 585, 4443, 1569, 540, 20848, 585, 11578, 532, 543, 11093, 1477, 825, 11097, 12033, 538, 519, 1292, 813, 23228, 825, 5727, 1477, 825, 1219, 6449, 8181, 9191, 1345, 267, 2385, 8029, 1038, 28184, 12171, 9347, 14857, 8181, 9191, 1345, 267, 2385, 3418, 1038, 1582, 20216, 527, 318, 31728, 815, 28184, 269, 3719, 2023, 4311, 267, 1257, 6889, 2750, 527, 2580, 4971, 284, 1345, 269, 10181, 3418, 5897, 825, 1219, 11578, 318, 1410, 527, 318, 31728, 4311, 8029, 1038, 5727, 1607, 1505, 568, 547, 581, 1031, 585, 11093, 519, 14827, 318, 31728, 1210, 513, 1477, 1038, 9511, 9614, 540, 3903, 27969, 1477, 1038, 2132, 1582, 20216, 527, 318, 31728, 24653, 825, 1219, 16718, 4311, 8029, 1038, 5727, 292, 2738, 3498, 269, 13242, 676, 1582, 20216, 527, 318, 31728, 27969, 1477, 1038, 19523, 20216, 527, 14052, 5897, 825, 1219, 838, 27468, 4311, 8029, 1038, 5727, 7049, 4733, 606, 8900, 6003, 585, 19437, 27969, 1477, 1038, 2132, 28184, 11482, 8475, 4311, 267, 1257, 284, 3269, 3418, 5897, 825, 1219, 6003, 4311, 267, 1257, 8029, 1038, 5727, 27987, 513, 6003, 689, 513, 5569, 610, 28184, 5793, 21642, 309, 541, 27969, 1477, 1038, 952, 568, 27349, 29495, 267, 1193, 8029, 2018, 2132, 28184, 11482, 8475, 4311, 267, 1257, 284, 3667, 3418, 1038, 8640, 568, 27349, 29495, 267, 28184, 269, 21803, 309, 541, 8029, 2018, 2132, 28184, 11482, 8475, 4311, 267, 1257, 19702, 762, 284, 3667, 3418, 1038, 3116, 6769, 2018, 6318, 28759, 2891, 3667, 1590, 581, 5569, 610, 28184, 269, 21803, 309, 541, 1826, 1701, 3418, 5897, 825, 1219, 7735, 4311, 267, 1257, 267, 1599, 8029, 1038, 5727, 14303, 5281, 513, 28184, 5793, 29502, 609, 606, 7923, 1257, 543, 1599, 27969, 1477, 1038, 2132, 28184, 269, 3719, 2023, 4311, 267, 1257, 284, 3667, 267, 4971, 284, 10818, 3418, 5897, 825, 1219, 7127, 4311, 267, 5569, 318, 12534, 8029, 1038, 5727, 14303, 5281, 513, 28184, 5793, 28678, 609, 606, 7923, 28184, 5793, 21642, 309, 541, 27969, 1477, 1038, 2132, 28184, 9950, 660, 787, 4311, 267, 1257, 19702, 762, 284, 11415, 318, 12534, 3418, 5897, 825, 1219, 10237, 984, 18636, 976, 263, 1477, 1038, 1582, 267, 21506, 1038, 1257, 318, 1721, 318, 517, 267, 21506, 1038, 1257, 318, 1721, 318, 4752, 267, 21506, 1038, 15254, 267, 1477, 1038, 593, 26371, 18989, 267, 21506, 1038, 1055, 26371, 25716, 1477, 1038, 476, 8029, 1038, 5727, 14303, 5281, 1079, 28184, 5793, 30521, 984, 18636, 976, 630, 517, 543, 1055, 264, 609, 2016, 1257, 607, 21506, 1038, 6003, 543, 28184, 5793, 4756, 23228, 1038, 5727, 16875, 1477, 1038, 593, 815, 28184, 10611, 14508, 984, 583, 2023, 4311, 267, 1257, 284, 3667, 318, 1721, 318, 517, 267, 4756, 284, 12534, 267, 1871, 284, 517, 26371, 3418, 1038, 1055, 815, 28184, 10611, 14508, 984, 583, 2023, 4311, 267, 1257, 284, 3667, 318, 1721, 318, 4752, 267, 4756, 284, 12534, 267, 1871, 284, 4752, 26371, 3418, 1038, 2132, 593, 267, 1055, 24653, 5035, 8571, 10817, 328, 6769, 825, 1219, 6449, 8181, 9191, 1345, 267, 2385, 8029, 1038, 1582, 4877, 1861, 815, 2385, 1477, 1038, 1582, 4877, 1861, 26644, 6600, 257, 28959, 24961, 300, 6033, 2715, 1029, 11437, 1029, 348, 14744, 1038, 1582, 269, 17742, 14090, 21234, 815, 28184, 269, 21803, 309, 541, 14052, 1038, 1582, 269, 2381, 19056, 815, 28184, 269, 4504, 309, 541, 14052, 1038, 1582, 27982, 19056, 815, 28184, 269, 4504, 309, 541, 14052, 1038, 1582, 6155, 7032, 815, 28184, 269, 4504, 309, 541, 14052, 1038, 1582, 269, 2254, 2305, 32269, 815, 28184, 269, 21803, 309, 541, 14052, 1038, 1582, 269, 2254, 2305, 318, 17742, 14090, 815, 28184, 269, 21803, 309, 541, 14052, 1038, 1582, 269, 29729, 22674, 832, 815, 2715, 1477, 2018, 834, 23325, 543, 4414, 630, 17641, 264, 9899, 834, 572, 1143, 545, 2580, 1477, 2018, 834, 23325, 543, 4414, 630, 2775, 264, 9899, 834, 321, 342, 337, 2580, 1477, 2018, 834, 23325, 609, 1164, 2418, 538, 3039, 9899, 834, 334, 4117, 24417, 2580, 1477, 2018, 834, 19669, 547, 9791, 9899, 834, 7922, 1132, 2580, 1477, 2018, 834, 14937, 543, 6519, 9899, 834, 321, 2435, 2580, 1477, 2018, 834, 21760, 32559, 25042, 9899, 834, 303, 340, 7775, 29177, 2018, 7684, 1477, 1038, 1582, 6983, 4486, 815, 28184, 269, 21803, 309, 541, 14052, 1038, 1582, 20481, 318, 534, 2254, 566, 18425, 318, 3250, 338, 815, 28184, 11065, 334, 18978, 309, 541, 14052, 1038, 1582, 20481, 318, 3250, 338, 318, 553, 5334, 638, 4100, 815, 28184, 11065, 334, 18978, 309, 541, 14052, 1038, 1582, 269, 572, 704, 1807, 18425, 17750, 32269, 815, 28184, 269, 21803, 309, 541, 31476, 1038, 1582, 15630, 10734, 848, 318, 5882, 14052, 1038, 1582, 15630, 318, 19702, 1963, 15461, 318, 29239, 14052, 1038, 1582, 269, 2958, 3563, 16062, 573, 12033, 263, 8001, 3418, 1038, 1582, 6230, 820, 318, 5443, 340, 318, 8663, 263, 8001, 10142, 1363, 1477, 825, 1219, 1305, 10734, 848, 318, 5882, 4311, 8029, 1038, 1582, 8807, 2632, 15481, 815, 834, 1015, 29177, 1038, 1582, 8807, 2632, 6958, 13637, 815, 834, 301, 3305, 8403, 30892, 29177, 1038, 1582, 269, 6630, 301, 318, 310, 2839, 8025, 815, 476, 1428, 5897, 1038, 9949, 6958, 2632, 815, 28184, 293, 2632, 269, 5864, 564, 1993, 2632, 2891, 307, 330, 9377, 5435, 293, 2632, 14744, 1038, 9949, 6958, 2632, 269, 20813, 2682, 263, 1477, 2018, 2450, 815, 1582, 8807, 2632, 15481, 267, 1477, 2018, 1920, 815, 1582, 8807, 2632, 6958, 13637, 1477, 2018, 476, 3418, 5897, 825, 1219, 1305, 318, 19702, 1963, 15461, 318, 29239, 4311, 8029, 1038, 5727, 306, 1115, 782, 2871, 328, 4632, 547, 513, 9949, 1533, 27969, 1477, 1038, 1582, 269, 2381, 19056, 15630, 8987, 275, 3418, 1038, 1582, 27982, 19056, 15630, 263, 266, 275, 3418, 1038, 1582, 6155, 7032, 15630, 263, 7785, 3418, 1038, 1582, 269, 2254, 2305, 32269, 15630, 263, 1477, 2018, 834, 5591, 1239, 11483, 309, 3989, 2943, 269, 8437, 1412, 5649, 11483, 309, 262, 547, 8399, 1701, 1477, 2018, 476, 3418, 1038, 1582, 21606, 18134, 815, 7183, 1477, 1038, 1582, 6983, 4486, 15630, 2891, 23325, 543, 4414, 630, 17641, 264, 14744, 1038, 1582, 20481, 318, 534, 2254, 566, 18425, 318, 3250, 338, 15630, 263, 12148, 3418, 1038, 1582, 20481, 318, 3250, 338, 318, 553, 5334, 638, 4100, 15630, 263, 12148, 3418, 1038, 1582, 269, 572, 704, 1807, 18425, 17750, 32269, 15630, 2891, 282, 14744, 5897, 825, 1219, 11578, 16062, 573, 12033, 4311, 267, 2385, 8029, 1038, 5727, 8802, 8651, 782, 11097, 12033, 2877, 585, 519, 2871, 328, 547, 1599, 23228, 1038, 24439, 946, 540, 519, 6301, 20360, 578, 25961, 1362, 23228, 1038, 5727, 1477, 1038, 1283, 815, 6301, 20360, 578, 263, 8001, 3418, 1038, 1283, 26942, 31476, 1038, 1582, 9884, 4372, 9078, 8475, 815, 1283, 7456, 8475, 263, 1477, 2018, 834, 8702, 547, 519, 3002, 4786, 20536, 26142, 333, 8923, 8359, 12122, 834, 1477, 2018, 834, 553, 3617, 267, 519, 4945, 1412, 24591, 14333, 14090, 262, 1422, 660, 334, 5352, 834, 1477, 2018, 834, 663, 4688, 513, 3002, 4786, 4729, 29177, 2018, 476, 3418, 17264, 1477, 1038, 1582, 6230, 820, 10734, 580, 4311, 9884, 4372, 9078, 8475, 3418, 1038, 1582, 9884, 4372, 9078, 8475, 26942, 263, 1477, 2018, 4737, 815, 476, 271, 267, 21506, 2018, 9587, 3966, 815, 476, 273, 267, 1477, 2018, 14950, 343, 815, 476, 1015, 267, 1477, 2018, 533, 8014, 815, 630, 736, 267, 476, 1015, 3418, 2018, 476, 10142, 1038, 1283, 4732, 335, 27468, 14061, 28186, 31476, 1038, 1582, 26716, 5366, 6831, 14090, 9078, 8475, 815, 476, 1283, 7456, 8475, 2891, 2419, 846, 513, 2681, 4786, 281, 834, 3418, 1038, 1582, 26716, 5366, 6831, 14090, 9078, 8475, 26942, 21405, 815, 476, 273, 267, 6241, 815, 476, 271, 267, 20202, 815, 28184, 9950, 10142, 1038, 1582, 269, 10233, 318, 641, 5406, 318, 5443, 340, 815, 28184, 20166, 1632, 24464, 340, 263, 1477, 2018, 1283, 267, 21506, 2018, 1582, 6983, 4486, 267, 21506, 2018, 2608, 1345, 269, 29729, 22674, 832, 269, 12399, 14052, 2018, 476, 3418, 1038, 1582, 269, 10233, 318, 641, 5406, 318, 5443, 340, 269, 20813, 2682, 263, 12296, 815, 834, 1789, 14744, 1038, 1582, 269, 10233, 318, 641, 5406, 318, 5443, 340, 26942, 21405, 815, 476, 273, 267, 6241, 815, 476, 272, 267, 20202, 815, 28184, 15030, 10142, 1038, 1582, 20481, 318, 534, 2254, 566, 18425, 318, 3250, 338, 318, 517, 267, 1582, 20481, 318, 534, 2254, 566, 18425, 318, 3250, 338, 318, 4752, 815, 1283, 269, 2784, 328, 984, 18636, 976, 263, 1477, 2018, 834, 17004, 2418, 538, 2281, 2580, 21506, 2018, 834, 17004, 1152, 4778, 2580, 21506, 2018, 1582, 20481, 318, 534, 2254, 566, 18425, 318, 3250, 338, 1477, 2018, 476, 3418, 1038, 1582, 20481, 318, 534, 2254, 566, 18425, 318, 3250, 338, 318, 517, 26942, 21405, 284, 274, 267, 6241, 284, 271, 267, 20202, 284, 339, 330, 15030, 267, 14950, 343, 815, 476, 1015, 3418, 1038, 1582, 20481, 318, 534, 2254, 566, 18425, 318, 3250, 338, 318, 4752, 26942, 21405, 284, 274, 267, 6241, 284, 272, 267, 20202, 284, 339, 330, 15030, 3418, 1038, 1582, 4732, 13645, 318, 517, 267, 1582, 4732, 13645, 318, 4752, 815, 1283, 269, 2784, 328, 984, 18636, 976, 263, 1477, 2018, 834, 10870, 518, 576, 2281, 883, 10945, 2580, 21506, 2018, 834, 290, 20635, 607, 25965, 2580, 21506, 2018, 1582, 20481, 318, 3250, 338, 318, 553, 5334, 638, 4100, 1477, 2018, 476, 3418, 1038, 1582, 4732, 13645, 318, 517, 26942, 21405, 284, 275, 267, 6241, 284, 271, 267, 20202, 284, 339, 330, 15030, 267, 14950, 343, 815, 476, 1015, 3418, 1038, 1582, 4732, 13645, 318, 4752, 26942, 21405, 284, 275, 267, 6241, 284, 272, 267, 20202, 284, 339, 330, 15030, 10142, 1038, 1283, 4732, 335, 27468, 14061, 28186, 31476, 1038, 1582, 26644, 9078, 8475, 815, 1283, 7456, 8475, 2891, 263, 18893, 1308, 264, 9373, 519, 2140, 585, 707, 3002, 4786, 281, 834, 3418, 1038, 1582, 26644, 9078, 8475, 26942, 21405, 284, 277, 267, 6241, 284, 271, 267, 6529, 284, 339, 330, 9950, 3418, 1038, 1582, 26644, 318, 18782, 815, 28678, 4415, 20278, 14516, 263, 1477, 2018, 1283, 267, 21506, 2018, 1747, 14516, 815, 834, 28959, 14090, 7170, 2580, 1477, 2018, 1257, 19702, 762, 815, 1582, 269, 17742, 14090, 21234, 1477, 2018, 476, 3418, 1038, 1582, 26644, 318, 18782, 269, 20813, 2682, 263, 12296, 815, 834, 2412, 2580, 17854, 815, 834, 22487, 14744, 1038, 1582, 26644, 318, 18782, 26942, 263, 1477, 2018, 4737, 284, 277, 267, 21506, 2018, 6241, 284, 272, 267, 21506, 2018, 14950, 343, 284, 276, 267, 1477, 2018, 533, 8014, 284, 276, 267, 21506, 2018, 28258, 8014, 284, 274, 267, 1477, 2018, 6529, 284, 339, 330, 15030, 1477, 2018, 3738, 21506, 1363, 1477, 1038, 1582, 269, 572, 704, 1807, 9078, 8475, 815, 1283, 7456, 8475, 2891, 306, 4177, 1807, 1031, 538, 11483, 309, 3758, 281, 834, 3418, 1038, 1582, 269, 572, 704, 1807, 9078, 8475, 26942, 21405, 284, 278, 267, 6241, 284, 271, 267, 20202, 284, 339, 330, 9950, 3418, 1038, 1582, 269, 572, 704, 1807, 318, 18782, 815, 1283, 269, 18782, 4311, 269, 572, 704, 1807, 18425, 17750, 32269, 3418, 1038, 1582, 269, 572, 704, 1807, 318, 18782, 269, 20813, 2682, 263, 12296, 815, 834, 2412, 2580, 17854, 815, 834, 22487, 14744, 1038, 1582, 269, 572, 704, 1807, 318, 18782, 26942, 263, 1477, 2018, 4737, 284, 278, 267, 21506, 2018, 6241, 284, 272, 267, 21506, 2018, 14950, 343, 284, 276, 267, 1477, 2018, 533, 8014, 284, 276, 267, 21506, 2018, 28258, 8014, 284, 274, 267, 1477, 2018, 6529, 284, 339, 330, 15030, 1477, 2018, 3738, 21506, 1363, 1477, 1038, 1283, 4732, 335, 27468, 14061, 28186, 31476, 1038, 1582, 27406, 318, 1348, 9078, 8475, 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 ]
[ 2861, 6604, 1210, 519, 623, 2969, 9391, 19593, 340, 268, 561, 636, 269, 10644, 3163, 267, 476, 275, 267, 476, 4649, 1700, 8287, 269, 26541, 534, 267, 631, 1421, 1299, 681, 3317, 773, 267, 595, 269, 630, 1220, 277, 320, 1040, 4039, 6636, 543, 14496, 22146, 267, 681, 9950, 1421, 674, 4459, 267, 623, 12282, 1421, 10830, 267, 715, 11482, 1421, 14977, 2401, 267, 700, 1421, 1299, 540, 519, 2618, 14527, 24920, 281, 15272, 4528, 538, 513, 5177, 17793, 10045, 267, 667, 269, 630, 1960, 278, 1040, 5369, 14527, 543, 2932, 2625, 268, 3732, 540, 2932, 2935, 1229, 8695, 269, 22226, 543, 682, 916, 538, 1453, 281, 4083, 269, 20480, 585, 1016, 1399, 4771, 10572, 20212, 267, 476, 2412, 267, 476, 4792, 1700, 4037, 269, 1453, 609, 2932, 2042, 269, 4750, 540, 519, 1977, 9142, 540, 4132, 543, 32183, 5369, 328, 268, 26541, 534, 267, 631, 1421, 1299, 681, 3317, 773, 267, 595, 269, 630, 1220, 277, 321, 1040, 5369, 14527, 6744, 268, 693, 787, 267, 476, 3607, 267, 476, 22001, 1700, 25240, 269, 1592, 281, 15272, 19405, 543, 15272, 5369, 24403, 3004, 527, 290, 548, 1188, 2917, 267, 670, 269, 630, 3192, 277, 1040, 634, 9633, 540, 7254, 640, 269, 853, 269, 8402, 267, 17834, 281, 22802, 281, 589, 6476, 1353, 269, 22226, 543, 1473, 328, 268, 17018, 2421, 269, 642, 573, 783, 20212, 267, 476, 6078, 267, 476, 6507, 280, 1700, 4281, 280, 5861, 334, 1156, 267, 808, 269, 630, 2735, 274, 1040, 634, 1942, 540, 27524, 582, 558, 1436, 269, 11930, 16723, 20970, 267, 476, 278, 267, 476, 27149, 1700, 26562, 269, 26541, 534, 267, 631, 1421, 1299, 681, 3317, 773, 267, 595, 269, 630, 1220, 277, 322, 1040, 4039, 6636, 267, 14496, 267, 3519, 2265, 10819, 10644, 3194, 6828, 269, 630, 1220, 275, 1040, 543, 3815, 2497, 540, 519, 16528, 15272, 5369, 334, 268, 634, 2360, 540, 519, 16258, 25397, 1982, 593, 3978, 2619, 545, 3004, 527, 22802, 538, 513, 5177, 3732, 540, 2932, 1966, 4093, 693, 519, 1439, 540, 10026, 1153, 269, 2935, 1229, 8695, 269, 634, 4750, 540, 5983, 14750, 24741, 4750, 540, 11916, 4132, 543, 32183, 10017, 267, 543, 10017, 267, 476, 1704, 267, 476, 24241, 1700, 26631, 269, 476, 3451, 267, 476, 20981, 1700, 5780, 272, 5861, 5622, 651, 267, 667, 12282, 267, 1299, 5760, 773, 267, 595, 269, 630, 1960, 278, 1040, 1323, 6221, 3210, 3798, 839, 267, 808, 12171, 269, 28024, 655, 267, 808, 11482, 1421, 14265, 1047, 267, 918, 10611, 1421, 1299, 595, 879, 742, 2006, 267, 661, 269, 3069, 2079, 540, 519, 670, 732, 5369, 14527, 6744, 4289, 269, 630, 1220, 272, 1040, 10495, 540, 2048, 9857, 8736, 2618, 14527, 685, 543, 922, 16723, 10495, 267, 476, 280, 267, 476, 274, 1700, 1691, 269, 7681, 609, 5208, 281, 589, 2565, 2689, 269, 19884, 290, 5622, 651, 267, 667, 12282, 1421, 5760, 773, 267, 595, 1421, 1299, 19134, 267, 590, 269, 630, 1220, 277, 1040, 11120, 1115, 540, 7070, 543, 519, 4521, 267, 476, 866, 267, 476, 7871, 1700, 3199, 269, 4791, 2618, 14527, 281, 19331, 731, 20501, 6482, 269, 769, 595, 12282, 269, 18536, 630, 10955, 13776, 634, 25156, 540, 2618, 14527, 661, 928, 1962, 1074, 267, 623, 1421, 18722, 267, 670, 1421, 1299, 18999, 560, 668, 267, 715, 269, 630, 1220, 276, 1040, 630, 653, 269, 476, 11011, 1700, 11793, 1040, 1715, 3840, 281, 2871, 559, 5112, 4964, 269, 11910, 748, 10595, 655, 10899, 7592, 616, 2404, 609, 3714, 268, 476, 673, 10335, 538, 5219, 8695, 609, 2932, 2042, 269, 29735, 4750, 540, 24741, 267, 476, 6795, 267, 476, 32542, 1700, 24496, 269, 3647, 879, 267, 595, 6993, 1421, 590, 553, 698, 11867, 267, 590, 1421, 1299, 674, 4459, 267, 623, 12282, 269, 630, 1220, 277, 1040, 2836, 268, 561, 748, 10595, 655, 10899, 7592, 538, 513, 2146, 3732, 540, 10708, 269, 10495, 267, 476, 1724, 267, 476, 3393, 275, 1700, 5379, 280, 269, 17384, 267, 700, 1421, 1299, 2349, 1515, 267, 681, 12282, 10611, 269, 630, 1960, 279, 1040, 15465, 15717, 543, 922, 2078, 547, 2618, 24403, 21274, 538, 1453, 609, 3929, 543, 8965, 546, 604, 16667, 322, 738, 625, 269, 4750, 540, 2806, 7538, 4132, 10017, 267, 476, 2918, 267, 476, 276, 1556, 1700, 31982, 269, 674, 578, 956, 267, 667, 5861, 1421, 1299, 918, 5255, 753, 6390, 267, 717, 269, 630, 1220, 271, 1040, 31301, 3512, 607, 513, 15645, 1807, 540, 11444, 547, 25903, 538, 1453, 281, 634, 9295, 540, 6850, 323, 1069, 531, 2534, 269, 5369, 334, 268, 17550, 267, 476, 4391, 267, 476, 4281, 279, 1700, 278, 4817, 269, 383, 497, 476, 1220, 279, 634, 22439, 22711, 28094, 3331, 497, 476, 1220, 279, 5948, 585, 4132, 543, 32183, 10076, 2657, 563, 4391, 273, 6754, 808, 269, 674, 4459, 543, 26573, 674, 269, 6519, 512, 1308, 7592, 269, 4750, 540, 31173, 543, 11916, 10017, 267, 476, 10463, 267, 476, 278, 4391, 1700, 278, 6078, 12171, 2180, 267, 589, 9950, 1421, 918, 1601, 517, 267, 667, 2529, 1421, 1299, 670, 732, 267, 681, 6185, 269, 630, 1220, 274, 1040, 634, 12920, 874, 650, 267, 808, 12171, 269, 630, 1220, 278, 1040, 634, 670, 732, 5369, 14527, 6744, 4289, 2618, 14527, 24920, 281, 15272, 4528, 269, 17842, 281, 11638, 268, 543, 973, 573, 13659, 281, 6396, 1670, 2152, 543, 9691, 2657, 7010, 269, 10442, 12170, 2963, 269, 769, 670, 269, 670, 2925, 543, 808, 5861, 269, 24204, 4068, 630, 32295, 13776, 634, 2618, 13771, 281, 7869, 267, 1382, 267, 543, 293, 4459, 267, 623, 12282, 269, 630, 1220, 275, 1040, 634, 22802, 540, 11910, 748, 10595, 655, 10899, 2259, 630, 653, 269, 476, 15221, 1700, 10204, 1040, 10067, 342, 1695, 267, 27359, 281, 18039, 3004, 1080, 269, 1133, 335, 21242, 12773, 4336, 281, 2160, 540, 1715, 8210, 331, 29231, 4889, 919, 269, 20252, 269, 670, 1263, 326, 601, 518, 267, 590, 15030, 1421, 5576, 14535, 342, 12245, 267, 590, 14389, 1421, 16907, 706, 514, 267, 595, 8160, 1421, 18007, 1633, 267, 631, 6185, 1421, 1299, 595, 7342, 5069, 267, 623, 11065, 269, 630, 1960, 279, 1040, 11638, 6363, 4459, 267, 623, 12282, 269, 630, 1220, 277, 1040, 25833, 11444, 547, 2932, 11528, 2126, 540, 24431, 3469, 2623, 538, 1453, 4524, 269, 4132, 543, 32183, 5369, 12278, 7885, 923, 540, 543, 10708, 269, 1715, 3840, 281, 2871, 559, 5112, 4964, 269, 3345, 3013, 267, 476, 1428, 267, 476, 25313, 1700, 28664, 269, 670, 6506, 267, 645, 8160, 1421, 1299, 18536, 267, 595, 12282, 269, 630, 1220, 277, 1040, 5369, 14527, 543, 2942, 7553, 1275, 281, 1323, 26087, 525, 540, 16401, 528, 2360, 293, 4459, 267, 623, 12282, 1421, 26636, 514, 267, 590, 6185, 1421, 1299, 31550, 267, 595, 11053, 269, 630, 1220, 271, 320, 1040, 5369, 334, 268, 7866, 3982, 1894, 609, 3929, 11605, 267, 2619, 545, 7592, 543, 2932, 2042, 538, 2146, 4250, 6888, 267, 543, 10845, 3620, 739, 1006, 269, 4750, 540, 2806, 7538, 543, 16758, 3146, 31084, 5439, 540, 1453, 281, 4329, 10017, 267, 476, 12893, 267, 476, 28510, 1700, 27868, 269, 1646, 540, 519, 2618, 14527, 9584, 3926, 269, 31177, 6202, 267, 589, 9950, 1421, 623, 731, 7236, 267, 667, 1421, 700, 4141, 828, 267, 681, 1421, 590, 10603, 1077, 267, 631, 1421, 16723, 10495, 267, 476, 1321, 267, 476, 4343, 273, 1700, 4375, 274, 269, 3223, 523, 534, 267, 918, 1421, 1299, 853, 1926, 15330, 6441, 4141, 828, 267, 631, 269, 630, 1220, 278, 1040, 11910, 748, 10595, 655, 10899, 5615, 538, 1762, 6690, 281, 293, 4459, 267, 623, 12282, 1421, 26658, 267, 589, 13034, 1421, 31550, 267, 595, 11053, 269, 26636, 514, 267, 590, 6185, 1421, 1299, 32655, 543, 2189, 2360, 269, 4750, 540, 11916, 4132, 667, 2033, 267, 670, 9950, 269, 630, 1220, 274, 320, 1040, 11910, 748, 10595, 655, 10899, 7592, 543, 543, 32183, 10017, 267, 476, 3607, 267, 476, 27840, 1700, 19054, 269, 2932, 2042, 538, 519, 12605, 540, 2932, 2625, 268, 3627, 7723, 267, 700, 1421, 1299, 3213, 5803, 667, 12282, 269, 630, 1220, 275, 1040, 5369, 24403, 6438, 19790, 10335, 267, 14699, 267, 543, 1582, 3146, 1636, 540, 1642, 514, 268, 7592, 538, 6689, 281, 10417, 783, 543, 6482, 844, 1890, 269, 4750, 540, 2806, 7538, 4132, 10017, 267, 476, 4029, 267, 4145, 269, 19884, 7070, 543, 519, 4521, 267, 476, 2420, 267, 476, 9818, 1700, 476, 3393, 278, 1700, 30420, 269, 476, 10219, 269, 918, 773, 25632, 267, 918, 6993, 1421, 8055, 267, 589, 8160, 1421, 1299, 670, 732, 267, 681, 6185, 269, 630, 1220, 272, 1040, 7799, 321, 545, 293, 4459, 267, 623, 12282, 1421, 26658, 267, 589, 13034, 1421, 26636, 514, 267, 590, 6185, 1421, 667, 2033, 267, 670, 9950, 1421, 17244, 538, 28146, 4393, 676, 7803, 31550, 267, 595, 11053, 1421, 1299, 700, 2292, 267, 645, 10611, 269, 630, 1220, 274, 321, 1040, 11910, 748, 10595, 655, 334, 268, 2618, 13771, 338, 607, 7000, 676, 6198, 6419, 512, 1308, 7592, 543, 11095, 11444, 547, 4049, 16982, 9196, 269, 18143, 24741, 267, 476, 2004, 476, 277, 6507, 1700, 2932, 2042, 269, 25833, 10017, 267, 476, 4375, 267, 476, 6924, 275, 269, 476, 26727, 1700, 18605, 269, 13690, 517, 529, 267, 661, 10611, 1421, 674, 4459, 267, 623, 12282, 1421, 16907, 529, 267, 715, 15030, 1421, 590, 3240, 651, 267, 589, 11053, 1421, 26658, 267, 589, 13034, 1421, 10787, 22641, 267, 808, 8160, 1421, 1299, 2098, 6756, 1695, 267, 595, 13034, 269, 630, 1220, 277, 320, 1040, 293, 4459, 267, 623, 12282, 1421, 1299, 28726, 267, 595, 269, 630, 1220, 277, 1040, 7351, 5380, 11910, 748, 10595, 655, 10899, 2934, 267, 8965, 22629, 593, 2932, 4524, 269, 7351, 24741, 18614, 267, 476, 279, 267, 543, 15970, 281, 18763, 30661, 540, 14699, 476, 6795, 1700, 7761, 269, 538, 513, 1164, 16151, 9251, 3732, 269, 4750, 540, 4132, 543, 7731, 5525, 267, 476, 1428, 267, 476, 278, 3393, 1700, 4037, 277, 12171, 4459, 267, 623, 1421, 1299, 670, 732, 267, 681, 6185, 269, 630, 1220, 272, 1040, 634, 24431, 3469, 1184, 13690, 517, 529, 267, 661, 10611, 1421, 674, 4459, 267, 623, 12282, 1421, 674, 1794, 2131, 553, 267, 670, 1421, 1299, 700, 2292, 267, 645, 10611, 269, 9584, 3926, 269, 17842, 281, 11638, 268, 10890, 7010, 269, 630, 1220, 277, 321, 1040, 5369, 14527, 267, 14699, 267, 543, 519, 3929, 4393, 540, 3929, 15128, 538, 1875, 3146, 31084, 6690, 293, 4459, 267, 623, 12282, 1421, 13690, 517, 529, 267, 661, 10611, 1421, 667, 663, 516, 14513, 267, 667, 8160, 1421, 1299, 10787, 22641, 267, 543, 8695, 269, 19884, 7070, 543, 519, 4521, 267, 476, 2190, 267, 808, 8160, 269, 630, 1220, 274, 322, 1040, 634, 476, 275, 4458, 6617, 540, 2618, 24403, 476, 2641, 1700, 4391, 269, 7592, 538, 1875, 3146, 31084, 6107, 269, 19884, 7070, 543, 13690, 517, 529, 267, 661, 10611, 1421, 674, 4459, 267, 623, 12282, 1421, 16189, 9926, 267, 700, 5861, 1421, 1299, 589, 1075, 7765, 267, 918, 12282, 269, 519, 4521, 267, 476, 2641, 267, 476, 278, 1724, 1700, 278, 3607, 269, 630, 1220, 278, 1040, 2052, 513, 8047, 2268, 540, 3929, 4393, 3986, 519, 8579, 12605, 540, 293, 4459, 267, 623, 12282, 1421, 700, 559, 1329, 26709, 267, 590, 20166, 1421, 3798, 839, 267, 808, 12171, 1421, 623, 1195, 628, 816, 267, 14699, 543, 32592, 1890, 538, 1033, 7134, 10708, 715, 14371, 1421, 1299, 5062, 289, 1248, 9116, 267, 918, 269, 630, 1220, 271, 321, 1040, 634, 7681, 609, 1289, 748, 10595, 655, 10899, 7592, 286, 4750, 540, 2806, 7538, 1063, 4160, 543, 24431, 3469, 2623, 269, 12729, 4132, 10017, 267, 476, 3374, 267, 476, 6507, 274, 1700, 4281, 276, 269, 24741, 267, 476, 278, 267, 476, 7367, 1700, 6872, 269, 13690, 517, 529, 267, 661, 10611, 1421, 674, 4459, 267, 623, 12282, 1421, 28024, 655, 267, 808, 1421, 3057, 5408, 267, 631, 6993, 1421, 14265, 1047, 267, 918, 1421, 16189, 9926, 267, 700, 5861, 1421, 1299, 589, 1075, 7765, 267, 918, 12282, 269, 630, 514, 2046, 1040, 293, 4459, 267, 623, 12282, 1421, 700, 559, 1329, 26709, 267, 590, 20166, 1421, 32762, 267, 631, 1421, 700, 2292, 267, 645, 1421, 1299, 30487, 1289, 748, 10595, 655, 10899, 7592, 538, 15730, 18234, 628, 1941, 267, 623, 269, 630, 1960, 280, 1040, 634, 7681, 1063, 606, 3495, 268, 25476, 281, 4406, 9179, 540, 519, 22802, 540, 11910, 748, 268, 552, 1399, 543, 2618, 14527, 7516, 538, 1453, 269, 4750, 1133, 655, 10899, 3004, 1080, 269, 4750, 540 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 814, 7902, 513, 9138, 562, 2389, 1307, 267, 593, 519, 4493, 540, 606, 10566, 294, 9594, 5365, 1500, 15222, 748, 609, 519, 8445, 630, 21163, 590, 2190, 268, 274, 1040, 634, 2601, 547, 7227, 585, 519, 5920, 540, 519, 681, 2914, 1511, 562, 2389, 1307, 630, 1721, 1383, 1079, 2053, 264, 568, 547, 26924, 519, 3461, 781, 11931, 7362, 8066, 269, 1323, 14577, 942, 570, 4944, 568, 1305, 607, 3254, 538, 16658, 269, 476, 273, 547, 7227, 585, 519, 5920, 540, 519, 562, 6253, 681, 2914, 1511, 563, 2691, 519, 9138, 562, 6253, 681, 2914, 1511, 814, 7902, 267, 4393, 547, 7227, 585, 519, 5462, 8488, 942, 570, 13036, 568, 5340, 630, 21163, 590, 2190, 268, 275, 1040, 634, 8488, 942, 570, 13036, 568, 267, 607, 6045, 1354, 267, 20979, 971, 602, 267, 585, 9196, 9726, 5277, 267, 16079, 1606, 793, 531, 14556, 885, 1831, 519, 5207, 543, 741, 26841, 2773, 540, 606, 11769, 1831, 9120, 269, 1635, 1259, 540, 1383, 267, 519, 8488, 942, 570, 13036, 949, 581, 5697, 538, 519, 2039, 540, 476, 1220, 547, 476, 4335, 544, 5913, 563, 8802, 8973, 607, 606, 19993, 10566, 294, 15222, 748, 12557, 513, 942, 8216, 950, 713, 19993, 8488, 942, 570, 13036, 814, 5293, 267, 519, 3524, 27247, 476, 276, 5956, 547, 1685, 519, 9196, 11571, 630, 21163, 590, 2190, 268, 276, 1040, 4698, 1227, 267, 519, 31092, 476, 279, 307, 543, 519, 13506, 1379, 3761, 476, 275, 616, 9141, 593, 519, 13942, 5311, 1344, 8357, 1242, 1354, 267, 865, 602, 519, 1101, 8655, 11571, 568, 5340, 609, 519, 10566, 294, 575, 908, 607, 3254, 538, 16658, 269, 476, 273, 2687, 547, 267, 585, 1383, 267, 513, 1614, 8820, 674, 17955, 1505, 13942, 5311, 269, 769, 16658, 269, 476, 273, 267, 519, 5123, 10276, 322, 5317, 4287, 531, 13506, 2983, 568, 31360, 689, 5373, 563, 13295, 267, 896, 519, 1101, 20105, 10276, 322, 5317, 2179, 10323, 272, 630, 516, 2536, 547, 16658, 269, 476, 276, 1070, 16079, 6786, 616, 9715, 689, 513, 1614, 8820, 9196, 3148, 681, 9874, 540, 519, 5247, 25714, 851, 1305, 971, 602, 621, 3568, 519, 5247, 25714, 13811, 267, 1282, 513, 11571, 942, 540, 5176, 476, 7785, 544, 5913, 267, 998, 519, 16674, 16509, 476, 278, 267, 543, 2366, 547, 519, 17513, 476, 279, 305, 563, 4002, 2348, 6192, 519, 1101, 9196, 11571, 1759, 593, 519, 1101, 20105, 17683, 2179, 10323, 272, 267, 519, 3524, 27247, 476, 276, 11887, 952, 519, 3803, 9196, 11571, 1759, 593, 519, 3803, 20105, 17683, 2179, 590, 5319, 814, 1044, 6192, 610, 711, 630, 21163, 590, 2190, 268, 277, 1040, 769, 519, 2013, 540, 12971, 693, 713, 8990, 630, 1492, 3803, 9196, 11571, 814, 711, 1044, 6192, 2943, 1070, 609, 5464, 519, 10566, 294, 5365, 267, 7996, 568, 2944, 2394, 513, 2110, 1974, 630, 1721, 1383, 267, 476, 273, 2295, 2041, 1846, 630, 273, 305, 7304, 264, 689, 519, 681, 2914, 1511, 1031, 538, 519, 9196, 11571, 264, 10596, 630, 21163, 590, 2190, 268, 278, 1040, 8745, 569, 713, 7996, 1974, 11225, 513, 17279, 942, 13138, 563, 1103, 713, 1259, 267, 1310, 7996, 513, 1974, 7222, 547, 267, 585, 1383, 267, 476, 273, 305, 7304, 267, 950, 519, 3791, 681, 2914, 1511, 5526, 630, 312, 2464, 693, 1900, 590, 2190, 268, 278, 1070, 519, 3524, 27247, 476, 276, 7024, 922, 4393, 547, 519, 2062, 4707, 1900, 590, 2190, 268, 275, 269, 9747, 267, 693, 513, 942, 8216, 950, 519, 9138, 8488, 942, 570, 13036, 814, 5293, 2094, 519, 5108, 540, 519, 10566, 294, 5365, 15222, 748, 609, 519, 3791, 681, 2914, 1511, 8445, 267, 519, 2034, 9196, 11571, 568, 862, 10642, 538, 519, 1482, 1259, 607, 519, 1657, 896, 519, 1985, 20105, 10276, 322, 5317, 2179, 10323, 273, 267, 3976, 16079, 6786, 616, 9715, 689, 519, 1614, 8820, 9196, 3148, 681, 9874, 630, 25074, 590, 2190, 268, 275, 267, 476, 276, 1040, 19452, 267, 16079, 6786, 16625, 569, 616, 9715, 2394, 519, 3803, 20105, 10276, 322, 5317, 2179, 590, 5319, 630, 1721, 1383, 562, 284, 279, 1916, 4002, 2348, 6192, 519, 3803, 9196, 11571, 896, 519, 20105, 10276, 322, 5317, 2179, 590, 5319, 267, 519, 8990, 693, 1900, 590, 2190, 268, 277, 3587, 962, 2464, 267, 3976, 513, 31015, 540, 519, 12032, 540, 519, 9196, 11571, 568, 2366, 689, 519, 3524, 27247, 476, 276, 547, 519, 3984, 2780, 476, 277, 630, 21163, 590, 2190, 268, 279, 1040, 22353, 519, 4393, 568, 8120, 547, 519, 3984, 2780, 476, 277, 563, 2691, 8391, 519, 31015, 540, 519, 12032, 540, 519, 9196, 11571, 689, 519, 3524, 27247, 476, 276, 630, 21163, 590, 1839, 1070, 519, 3984, 2780, 17016, 513, 4971, 547, 5305, 519, 7362, 3180, 547, 519, 5639, 11718, 476, 1626, 630, 21163, 590, 2918, 1040, 634, 5639, 11718, 476, 1626, 1287, 2588, 1562, 513, 5639, 5048, 6031, 267, 585, 1383, 267, 968, 2791, 666, 13236, 1848, 4724, 519, 3461, 547, 2165, 3729, 519, 7362, 8066, 1974, 630, 516, 2536, 547, 16658, 269, 476, 273, 1916, 11997, 267, 607, 3182, 3645, 569, 3254, 676, 519, 12557, 5750, 538, 16658, 269, 476, 273, 267, 519, 9196, 11571, 1759, 593, 519, 10566, 294, 575, 908, 543, 519, 7362, 8066, 568, 16625, 569, 5340, 585, 1142, 20105, 17683, 562, 2389, 1307, 630, 324, 3052, 1421, 562, 284, 279, 1070, 1169, 476, 273, 305, 7304, 267, 1210, 519, 476, 274, 291, 6363, 17955, 1505, 267, 585, 1383, 269, 634, 942, 2556, 585, 17655, 540, 562, 2389, 1307, 267, 799, 14687, 547, 606, 8884, 547, 20818, 7362, 8066, 593, 513, 3461, 267, 5673, 593, 9138, 17655, 2175, 267, 543, 621, 568, 267, 585, 1383, 267, 5111, 476, 736, 547, 476, 1839, 3813, 269, 1403, 971, 8884, 3587, 5266, 1279, 267, 606, 26740, 7362, 3620, 13783, 4480, 666, 581, 7550, 585, 835, 942, 540, 6024, 7362, 8066, 563, 292, 11155, 6786, 32338, 730, 689, 519, 3461, 623, 616, 4607, 676, 519, 16674, 16509, 476, 278, 267, 1287, 2366, 547, 519, 17513, 476, 279, 305, 267, 1282, 519, 11571, 269, 634, 17513, 476, 279, 305, 3157, 519, 16079, 6786, 609, 1585, 5686, 540, 840, 30112, 267, 14291, 873, 883, 3059, 16079, 1239, 269, 634, 3059, 16079, 1239, 616, 2366, 3842, 547, 519, 3524, 27247, 476, 276, 547, 519, 9498, 476, 1015, 267, 1141, 789, 616, 25528, 538, 513, 1614, 8820, 737, 1606, 10628, 538, 3059, 3965, 269, 5221, 519, 3368, 6363, 537, 8175, 2981, 1505, 814, 1044, 7550, 267, 1239, 602, 723, 711, 1044, 2965, 9715, 538, 519, 737, 1606, 10628, 616, 5833, 676, 1797, 540, 9819, 267, 543, 519, 7229, 1239, 616, 25528, 883, 519, 6967, 2127, 540, 737, 1606, 10628, 269, 1635, 971, 1797, 267, 519, 3003, 737, 1606, 10628, 949, 581, 16041, 609, 16079, 1239, 563, 1103, 3210, 547, 519, 12032, 540, 16079, 1239, 11601, 998, 519, 9196, 18767, 267, 519, 3984, 2780, 476, 277, 12981, 519, 9498, 476, 1015, 547, 1685, 1239, 4393, 543, 18071, 4393, 269, 2290, 971, 1383, 568, 3254, 538, 16658, 269, 476, 277, 563, 20058, 267, 519, 9498, 476, 1015, 15824, 513, 1614, 8820, 22263, 2981, 609, 519, 16079, 1239, 538, 519, 737, 1606, 10628, 9715, 543, 25528, 998, 519, 9196, 18767, 267, 609, 519, 1267, 602, 1483, 1606, 10628, 3239, 1239, 616, 18949, 539, 630, 21163, 476, 4029, 1040, 3973, 713, 1305, 540, 1614, 8820, 3239, 1239, 25457, 631, 7709, 4393, 9859, 2059, 513, 5551, 13156, 1899, 4287, 630, 21163, 476, 3953, 1040, 3973, 519, 9498, 476, 1015, 13333, 547, 14650, 519, 9268, 631, 7709, 3239, 593, 519, 4159, 476, 1321, 630, 21163, 476, 3451, 1916, 20983, 269, 476, 278, 2982, 513, 1351, 4689, 3239, 540, 519, 5247, 25714, 851, 267, 799, 568, 11516, 3481, 676, 1688, 689, 513, 4605, 2965, 708, 3042, 593, 519, 4493, 540, 519, 6240, 540, 519, 1459, 8798, 269, 634, 1351, 4689, 3239, 568, 5833, 538, 519, 1351, 4689, 4287, 609, 922, 9196, 2990, 5697, 2059, 519, 5247, 25714, 13811, 267, 865, 602, 519, 2698, 9196, 942, 666, 581, 27571, 5469, 2406, 269, 24919, 2175, 616, 1759, 593, 513, 1614, 8820, 674, 17955, 1505, 543, 946, 1312, 10566, 294, 3766, 908, 543, 26740, 7362, 3620, 13783, 2553, 269, 12729, 9196, 6724, 616, 17279, 942, 13138, 540, 476, 4335, 271, 544, 5913, 267, 2500, 16079, 942, 23140, 27889, 540, 476, 13301, 544, 5913, 267, 16079, 5721, 19437, 661, 4811, 540, 476, 276, 544, 5913, 267, 5119, 2450, 540, 476, 16348, 9943, 16348, 267, 476, 3607, 20105, 851, 1431, 2348, 513, 20105, 11098, 540, 476, 272, 269, 275, 6515, 267, 519, 1297, 540, 19011, 1645, 13218, 284, 821, 267, 543, 674, 10976, 540, 476, 11740, 6515, 9943, 11740, 6515, 269, 634, 11979, 11275, 729, 476, 272, 269, 276, 570, 538, 4222, 269, 634, 2698, 1239, 11601, 942, 729, 4114, 269, 476, 276, 3764, 269, 769, 1931, 547, 2744, 513, 3586, 1973, 26841, 2773, 267, 513, 8488, 942, 689, 519, 681, 2914, 1511, 585, 519, 10566, 294, 3766, 908, 568, 1500, 547, 581, 519, 1482, 585, 1142, 20105, 17683, 269, 901, 8488, 942, 570, 13036, 729, 5697, 607, 476, 14596, 544, 5913, 630, 1721, 513, 15321, 540, 799, 681, 10611, 5951, 8884, 568, 5176, 476, 12010, 544, 5913, 28593, 2026, 513, 1267, 267, 607, 3254, 538, 519, 14745, 538, 16658, 269, 476, 278, 267, 519, 6094, 5247, 25714, 13811, 630, 569, 332, 874, 1738, 6077, 264, 570, 291, 4881, 2059, 519, 5247, 25714, 513, 677, 320, 8121, 543, 27071, 883, 519, 2451, 1016, 743, 822, 1014, 642, 664, 700, 306, 309, 538, 519, 5247, 25714, 851, 729, 13269, 538, 2362, 14556, 885, 630, 514, 519, 4890, 3239, 267, 519, 5247, 25714, 13811, 570, 291, 6505, 839, 538, 3043, 267, 6466, 538, 16658, 269, 476, 278, 267, 621, 568, 3254, 676, 16437, 518, 554, 10248, 3515, 12175, 634, 11483, 293, 630, 576, 516, 321, 4592, 335, 1400, 5714, 264, 543, 15672, 12424, 525, 11553, 941, 849, 13269, 538, 2362, 14556, 885, 269, 634, 513, 677, 320, 8121, 543, 18916, 630, 12717, 264, 4478, 519, 5247, 25714, 13811, 570, 291, 616, 849, 13269, 547, 930, 6708, 267, 855, 741, 14556, 885, 630, 331, 6058, 766, 2157, 264, 616, 9797, 26793, 547, 513, 2539, 1377, 547, 581, 3254, 538, 13591, 12457, 10253, 630, 514, 16658, 269, 476, 278, 267, 789, 616, 11609, 676, 25182, 554, 10248, 3515, 28593, 2414, 23266, 781, 1702, 267, 713, 568, 519, 1101, 1867, 602, 19182, 9726, 2762, 609, 513, 2110, 16079, 19437, 267, 476, 274, 291, 267, 3368, 6363, 537, 8175, 267, 3728, 8095, 16079, 5311, 666, 581, 1031, 547, 14650, 519, 5247, 25714, 13811, 1510, 946, 540, 513, 4334, 8665, 563, 13295, 267, 1818, 519, 9196, 2175, 547, 3858, 609, 1346, 538, 18995, 519, 9726, 5277, 267, 538, 1880, 267, 538, 2474, 540, 519, 2500, 16079, 942, 23140, 27889, 602, 568, 2219, 547, 581, 3476, 982, 519, 11005, 2053, 540, 1973, 14998, 519, 9726, 5277, 547, 581, 13269, 538, 2362, 5365, 14556, 885, 563, 12234, 267, 1317, 519, 13942, 5311, 540, 799, 16079, 5721, 19437, 661, 4811, 568, 2110, 568, 1031, 267, 1973, 8043, 602, 1683, 519, 4282, 540, 519, 5247, 25714, 13811, 666, 849, 581, 13269, 547, 513, 1978, 6708, 543, 3254, 538, 606, 3617, 12457, 4336, 269, 2334, 568, 267, 538, 1840, 547, 519, 1249, 602, 519, 5247, 25714, 13811, 630, 569, 332, 874, 5277, 264, 666, 581, 13269, 20406, 267, 1973, 8043, 849, 2408, 538, 2592, 540, 519, 5247, 25714, 13811, 693, 2539, 5365, 2157, 269, 901, 2306, 621, 5393, 2653, 547, 1174, 519, 8901, 2990, 531, 2078, 540, 519, 5247, 25714, 13811, 630, 569, 332, 874, 8043, 264, 538, 519, 2592, 269, 9747, 621, 568, 2009, 547, 1683, 19182, 2592, 602, 616, 3730, 585, 23235, 30754, 1606, 2448, 3676, 563, 763, 5383, 7915, 547, 713, 20032, 616, 607, 5205, 563, 5575, 267, 2094, 1022, 4334, 8665, 568, 711, 22280, 267, 1875, 514, 15230, 9196, 666, 581, 9738, 267, 7494, 17212, 1324, 2168, 543, 2790, 24675, 593, 2550, 269, 2311, 519, 1482, 942, 267, 13542, 727, 4238, 1808, 547, 519, 4334, 4480, 267, 971, 607, 602, 621, 568, 2838, 547, 2268, 12557, 540, 4334, 2360, 267, 666, 581, 17515, 269, 7756, 569, 689, 519, 4334, 4480, 267, 16625, 569, 5340, 9196, 568, 2653, 547, 1685, 563, 10303, 519, 10566, 294, 575, 908, 4480, 568, 1031, 267, 5163, 13742, 3361, 676, 519, 20517, 540, 519, 2295, 666, 3592, 581, 6569, 269, 4329, 267, 519, 7362, 3180, 4480, 568, 849, 1031, 267, 4227, 5163 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 610, 2606, 2453, 269, 3399, 1603, 519, 1543, 2047, 269, 0, 6092, 5149, 281, 1325, 874, 12185, 20232, 910, 4197, 16707, 543, 16319, 692, 8893, 476, 272, 281, 1548, 568, 519, 1325, 874, 12185, 20232, 2496, 5970, 596, 2479, 2219, 827, 875, 5863, 621, 568, 602, 649, 666, 5968, 998, 2854, 1913, 286, 1284, 946, 5022, 547, 2099, 4992, 267, 799, 1287, 1106, 1913, 543, 5220, 269, 901, 1523, 568, 1572, 519, 21229, 12185, 6240, 256, 898, 1797, 602, 972, 568, 513, 9836, 2078, 1063, 5022, 630, 326, 1905, 1335, 525, 264, 543, 4992, 630, 874, 517, 655, 525, 1040, 3962, 4484, 610, 1895, 540, 5022, 14687, 547, 835, 3280, 610, 811, 982, 835, 3280, 269, 1280, 1383, 267, 519, 4484, 1412, 322, 262, 666, 1118, 1114, 4992, 899, 1315, 330, 270, 538, 3032, 610, 1315, 338, 270, 538, 2749, 780, 12244, 281, 3503, 1524, 707, 2012, 1210, 713, 16012, 1620, 540, 1178, 335, 1335, 525, 543, 13093, 655, 525, 269, 16505, 1142, 2262, 883, 1367, 4992, 543, 6474, 873, 609, 741, 7222, 5022, 780, 8893, 476, 273, 281, 15434, 9535, 519, 8943, 692, 13981, 519, 21229, 12185, 6240, 568, 899, 25305, 513, 5728, 3009, 256, 4495, 596, 1174, 519, 2596, 3347, 1063, 5022, 543, 4992, 267, 596, 666, 1224, 3592, 4376, 269, 1677, 1831, 21295, 693, 2542, 267, 596, 991, 2259, 9301, 891, 3270, 538, 1585, 10659, 543, 8658, 269, 5457, 267, 3006, 1079, 610, 1614, 5022, 2097, 1927, 547, 1711, 1175, 835, 3280, 267, 971, 607, 1412, 3333, 3299, 1412, 577, 3299, 1412, 628, 262, 780, 12244, 281, 7994, 513, 2241, 4845, 689, 513, 1433, 543, 2119, 7114, 519, 5094, 4992, 1369, 1142, 2262, 269, 3973, 267, 2328, 856, 1346, 4992, 1210, 2582, 5022, 610, 2516, 540, 5022, 269, 14424, 707, 2164, 609, 519, 4890, 10259, 540, 519, 4845, 780, 8893, 476, 274, 281, 10289, 966, 578, 1564, 692, 309, 578, 1564, 616, 1898, 2679, 7161, 540, 1893, 1317, 789, 948, 721, 3132, 5347, 13289, 950, 6340, 269, 9521, 19283, 1218, 267, 1169, 27612, 1590, 723, 693, 2547, 835, 20262, 3280, 269, 1703, 616, 2947, 1292, 24008, 538, 2296, 1107, 589, 267, 661, 267, 594, 267, 744, 267, 772, 1107, 855, 1705, 596, 917, 602, 930, 1447, 1455, 5022, 849, 1599, 607, 24008, 896, 1978, 6381, 286, 1280, 3236, 267, 1412, 344, 262, 6411, 607, 513, 20262, 538, 1913, 899, 1412, 20391, 262, 543, 1412, 337, 20263, 262, 780, 12244, 281, 8073, 513, 1592, 540, 4557, 1913, 5627, 782, 2947, 3119, 24008, 269, 5269, 2386, 9039, 540, 707, 6074, 1913, 10956, 1022, 20262, 269, 7151, 281, 8131, 267, 27551, 267, 22830, 267, 2290, 267, 22750, 780, 8893, 476, 275, 281, 8125, 550, 16707, 1299, 7981, 27418, 692, 2026, 596, 4685, 4514, 883, 1620, 519, 21229, 12185, 6240, 267, 596, 786, 7237, 17756, 1141, 5022, 1810, 1405, 3100, 547, 5330, 547, 1022, 4992, 269, 1452, 14980, 5022, 1419, 4196, 1808, 5301, 538, 938, 1893, 267, 4543, 10646, 10096, 1063, 2147, 3168, 1913, 269, 1280, 1383, 267, 2015, 1412, 330, 928, 611, 262, 5288, 1412, 928, 539, 262, 282, 1934, 267, 519, 1412, 330, 262, 2242, 519, 2495, 7357, 5103, 1373, 14980, 780, 12244, 281, 4855, 8424, 540, 4630, 2684, 2158, 630, 6919, 14733, 1541, 1227, 855, 8428, 538, 2495, 264, 1141, 4946, 610, 9427, 513, 14980, 4484, 1131, 1689, 519, 2495, 3648, 269, 6201, 1223, 1331, 1412, 1076, 342, 262, 543, 1412, 19990, 3299, 610, 1412, 330, 9519, 262, 543, 1412, 27848, 262, 780, 8855, 267, 4742, 9952, 693, 7311, 519, 21229, 12185, 6240, 3217, 942, 543, 5812, 2259, 269, 5213, 1405, 5855, 952, 596, 1265, 621, 4101, 7620, 282, 1832, 8026, 267, 543, 4166, 2614, 267, 29852, 1913, 786, 1745, 2067, 256, 0, 2080, 568, 606, 1349, 689, 513, 2546, 912, 257, 17138, 281, 26758, 20448, 338, 454, 6944, 1026, 12460, 281, 14731, 32365, 454, 306, 5593, 7338, 2859, 454, 29394, 281, 8361, 5651, 2917, 454, 3725, 3161, 4266, 281, 4873, 476, 736, 267, 476, 1220, 277, 1496, 324, 9349, 1948, 5908, 4343, 2639, 290, 1042, 1080, 281, 21277, 1027, 676, 19201, 590, 9801, 1633, 267, 3400, 30937, 27963, 516, 628, 543, 519, 454, 15697, 20518, 3176, 19577, 15105, 12243, 693, 5291, 2517, 4178, 4877, 326, 31389, 14492, 454, 310, 18952, 4888, 21850, 29767, 15760, 670, 2894, 23802, 631, 3036, 4041, 312, 454, 17247, 6185, 1421, 11550, 293, 8577, 3036, 5508, 17628, 299, 23360, 700, 25604, 2969, 13543, 11083, 454, 7419, 4353, 8991, 14510, 23333, 4041, 12283, 267, 700, 31631, 2177, 454, 12283, 3036, 12283, 681, 5495, 26950, 3633, 12283, 6730, 590, 2177, 306, 267, 17290, 454, 289, 4629, 4696, 310, 17751, 267, 700, 11070, 294, 12442, 670, 21135, 454, 21923, 3008, 294, 8582, 267, 631, 3198, 6224, 2464, 9898, 267, 6730, 21832, 962, 3036, 298, 454, 300, 3036, 4041, 312, 24202, 6167, 4353, 8991, 3201, 22244, 16576, 14473, 563, 272, 269, 15593, 573, 534, 781, 1773, 904, 563, 273, 269, 1773, 904, 689, 631, 10008, 27056, 269, 1635, 2296, 667, 1090, 520, 1235, 563, 274, 269, 3057, 869, 324, 781, 13056, 755, 639, 543, 3619, 9220, 781, 13056, 755, 563, 275, 269, 20048, 1834, 540, 519, 595, 573, 563, 276, 269, 681, 8475, 9820, 262, 717, 1173, 656, 7699, 543, 519, 15552, 545, 1546, 2644, 540, 23202, 698, 745, 601, 563, 277, 269, 7557, 807, 767, 2993, 781, 13584, 563, 278, 269, 32365, 781, 10749, 563, 279, 269, 4347, 4141, 781, 4750, 540, 519, 1773, 6558, 5729, 563, 280, 269, 28676, 593, 6406, 6554, 543, 8606, 1067, 781, 834, 15031, 686, 1105, 320, 8487, 1015, 269, 30215, 781, 1323, 30688, 540, 15215, 563, 1556, 269, 16959, 6577, 781, 5164, 326, 559, 563, 1321, 269, 8845, 781, 5915, 517, 1108, 543, 654, 3558, 8154, 563, 1724, 269, 4173, 4459, 781, 31928, 704, 1938, 563, 1691, 269, 2051, 518, 3805, 781, 7305, 6874, 1779, 563, 1428, 269, 645, 11484, 18153, 334, 781, 5463, 15330, 517, 563, 1626, 269, 28238, 3010, 2237, 606, 2502, 543, 3015, 1576, 1770, 538, 513, 1837, 585, 1647, 1153, 1053, 1644, 547, 519, 1349, 1657, 267, 2519, 593, 834, 2704, 874, 12185, 20232, 257, 607, 851, 540, 834, 16300, 13493, 1315, 5678, 8551, 1315, 29986, 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, 277, 281, 6468, 781, 3778, 538, 519, 2806, 523, 13403, 16323, 692, 1103, 713, 3184, 267, 649, 786, 2263, 519, 2729, 540, 2021, 538, 519, 2806, 523, 13403, 4095, 2950, 267, 799, 941, 851, 540, 513, 3677, 1895, 540, 11031, 1634, 607, 519, 654, 629, 534, 13403, 28583, 2329, 269, 1452, 11031, 8385, 2097, 689, 519, 1715, 4789, 3148, 540, 519, 2136, 2276, 543, 2694, 540, 20563, 543, 519, 31845, 16899, 538, 4516, 269, 901, 1858, 729, 5219, 547, 676, 519, 7111, 1004, 607, 654, 629, 534, 13403, 267, 2495, 834, 291, 11921, 8092, 2437, 2094, 621, 729, 1141, 519, 3141, 1101, 9782, 1142, 1554, 269, 2913, 781, 4685, 883, 1620, 875, 2021, 8329, 547, 891, 2189, 7239, 2439, 763, 2806, 523, 13403, 11031, 1705, 711, 723, 513, 2582, 267, 3532, 6205, 12044, 873, 782, 269, 5502, 267, 789, 15538, 540, 3875, 4130, 13164, 543, 11031, 609, 2147, 4529, 269, 7324, 1346, 11031, 5702, 4448, 547, 519, 2806, 523, 13403, 941, 519, 2549, 848, 4186, 328, 267, 1656, 14029, 690, 6265, 267, 8230, 928, 13069, 267, 5689, 1047, 564, 267, 744, 340, 541, 770, 1122, 537, 328, 752, 267, 10426, 4821, 638, 617, 11276, 267, 623, 1846, 340, 1731, 564, 267, 6755, 984, 2675, 582, 267, 28522, 342, 871, 564, 267, 18842, 877, 8619, 267, 590, 758, 18223, 267, 543, 654, 1168, 523, 665, 269, 4634, 1498, 930, 2959, 949, 946, 519, 2165, 834, 6781, 523, 13403, 257, 17618, 547, 3277, 547, 1022, 4759, 540, 519, 654, 629, 534, 13403, 28583, 2329, 267, 3314, 602, 519, 2806, 523, 13403, 941, 1175, 835, 540, 922, 25499, 11031, 780, 3086, 1577, 781, 1445, 593, 519, 4105, 1909, 540, 2806, 523, 13403, 2021, 1369, 741, 2950, 780, 27735, 540, 7731, 543, 7991, 5020, 454, 5785, 15365, 23991, 1272, 5129, 513, 1713, 1909, 1851, 519, 2806, 523, 13403, 1004, 269, 3962, 1920, 1185, 1808, 4247, 1759, 593, 4008, 5107, 282, 2705, 267, 1312, 2367, 543, 2021, 5249, 1927, 24625, 8271, 269, 1280, 1383, 267, 1247, 2367, 32170, 543, 535, 1639, 267, 2021, 10356, 2371, 267, 15708, 267, 3595, 6229, 267, 543, 6743, 1310, 1453, 781, 2115, 269, 1358, 849, 5423, 6980, 543, 1500, 7802, 267, 30504, 267, 20341, 267, 543, 824, 1898, 3688, 585, 3232, 2713, 780, 13010, 267, 2146, 2621, 899, 15976, 543, 18428, 4547, 3025, 1927, 269, 4438, 971, 19771, 267, 2021, 1131, 7119, 538, 1585, 2238, 7258, 2367, 267, 1519, 13465, 267, 15472, 267, 543, 4730, 3756, 269, 4256, 4527, 5280, 7794, 1514, 7554, 1063, 1114, 3885, 543, 11031, 780, 14807, 908, 8892, 9198, 725, 454, 10900, 14945, 6781, 523, 13403, 2021, 3576, 5279, 540, 3450, 7820, 5481, 827, 5389, 267, 9821, 267, 543, 6668, 1983, 269, 21989, 4121, 1898, 4245, 689, 741, 11299, 267, 20516, 338, 267, 543, 4775, 14077, 3823, 5986, 267, 4915, 7041, 267, 12202, 267, 1666, 330, 4479, 267, 543, 12391, 585, 7820, 16254, 269, 1635, 4687, 741, 7326, 267, 4587, 2021, 24458, 602, 2757, 2853, 15068, 998, 5481, 780, 8469, 21778, 543, 23046, 454, 2411, 21387, 3891, 531, 619, 543, 5289, 3401, 4371, 1164, 22644, 538, 2806, 523, 13403, 2486, 269, 3509, 2053, 267, 891, 1271, 7158, 941, 4904, 676, 2021, 269, 2060, 3573, 1702, 5293, 1524, 689, 3105, 5481, 267, 9952, 16909, 626, 2021, 2813, 14319, 1210, 2199, 18508, 547, 1521, 10108, 543, 7063, 269, 3958, 267, 789, 5340, 7067, 12738, 543, 6035, 5583, 1282, 4101, 8090, 538, 1004, 781, 2729, 780, 303, 11823, 30880, 454, 2411, 19567, 19284, 3864, 7239, 693, 519, 942, 267, 2806, 523, 13403, 2021, 8362, 7722, 538, 2797, 3375, 6194, 3157, 269, 2755, 5256, 14643, 832, 3335, 3366, 5717, 7282, 13137, 543, 23372, 267, 2021, 1223, 5639, 741, 8369, 1932, 269, 26744, 569, 2021, 2523, 29937, 539, 3310, 1813, 547, 741, 1995, 543, 7326, 269, 6884, 267, 3003, 5646, 15078, 16922, 1152, 2021, 950, 5466, 2152, 4481, 7133, 8951, 780, 6962, 454, 29603, 9961, 2806, 523, 13403, 1686, 267, 2021, 3648, 12936, 741, 2950, 538, 2789, 2081, 31539, 14637, 3885, 543, 18997, 2104, 5481, 547, 8026, 7067, 6575, 543, 10283, 538, 6214, 269, 1306, 7533, 3334, 540, 519, 7524, 654, 629, 534, 13403, 2528, 267, 741, 7418, 3136, 11121, 721, 2221, 269, 4197, 519, 2565, 5107, 540, 2806, 523, 13403, 2021, 2337, 15052, 938, 7071, 585, 3309, 5380, 5935, 3345, 3013, 781, 2250, 543, 1459, 269, 0, 2080, 568, 606, 1349, 689, 513, 2546, 912, 257, 5723, 292, 2793, 298, 296, 5442, 14888, 23177, 616, 513, 10409, 543, 13664, 1895, 540, 8109, 8381, 1633, 11031, 602, 12090, 538, 519, 1715, 4789, 3148, 540, 519, 2136, 2276, 543, 20563, 543, 519, 3057, 527, 1307, 540, 4516, 267, 513, 3148, 1572, 654, 629, 534, 13403, 12462, 291, 11921, 8092, 14615, 538, 519, 8109, 1325, 12455, 638, 1014, 4654, 563, 763, 2806, 523, 13403, 616, 835, 540, 519, 2947, 2818, 540, 519, 654, 629, 534, 13403, 28583, 2329, 269, 25214, 267, 972, 729, 711, 513, 2178, 3844, 6392, 267, 855, 513, 1804, 1297, 540, 4130, 13164, 543, 11031, 945, 3838, 1082, 2686, 7592, 563, 3080, 540, 519, 2947, 11031, 540, 519, 654, 629, 534, 13403, 28583, 2329, 454, 763, 2806, 523, 13403, 12075, 941, 835, 540, 2947, 3473, 517, 23936, 11031, 602, 20705, 547, 519, 654, 629, 534, 13403, 28583, 2329, 269, 634, 590, 758, 758, 328, 267, 610, 7262, 2806, 523, 13403, 267, 941, 1634, 538, 1715, 4789, 607, 519, 853, 14731, 12075, 563, 4407, 519, 2806, 523, 13403, 616, 513, 5094, 14316, 593, 741, 1378, 267, 741, 2012, 568, 1419, 1031, 954, 577, 836, 2406, 547, 1611, 519, 2898, 654, 629, 523, 13403, 28583, 2329, 563, 6781, 523, 13403, 32700, 11031, 912, 8649, 848, 4186, 328, 267, 1656, 14029, 690, 6265, 267, 8230, 928, 13069 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 952, 1352, 2479, 1705, 2648, 1864, 267, 543, 602, 568, 1869, 3181, 23534, 1070, 32682, 1424, 8751, 543, 2261, 11538, 30056, 1131, 581, 513, 1900, 1524, 585, 1200, 13998, 269, 2701, 1705, 711, 1616, 547, 581, 513, 29317, 538, 1200, 1164, 7555, 2486, 269, 2755, 30751, 11442, 539, 609, 30056, 779, 4664, 267, 8751, 729, 28048, 569, 609, 1010, 5134, 816, 3733, 337, 1479, 14355, 269, 1677, 8751, 267, 30751, 729, 1010, 17028, 7458, 15896, 267, 1010, 13049, 538, 799, 646, 11262, 269, 1261, 5156, 646, 1185, 519, 1318, 547, 5134, 805, 1200, 1317, 1200, 2063, 2012, 729, 1631, 29246, 534, 534, 563, 8489, 568, 972, 2648, 538, 7365, 286, 25141, 779, 4214, 538, 519, 476, 5197, 271, 338, 543, 476, 5002, 271, 338, 729, 7453, 269, 769, 1034, 8320, 267, 2367, 941, 519, 7426, 267, 1247, 2021, 524, 23926, 547, 741, 8152, 27512, 267, 5740, 539, 741, 1453, 267, 543, 19345, 2777, 269, 2368, 2367, 6743, 547, 741, 24726, 607, 26065, 610, 930, 512, 15577, 789, 11262, 269, 6145, 3798, 3534, 267, 2021, 538, 22888, 5433, 899, 6698, 610, 1256, 18759, 540, 741, 9393, 779, 18517, 538, 1272, 269, 1280, 1383, 267, 538, 634, 21220, 23818, 267, 25562, 932, 641, 514, 5206, 267, 968, 2507, 3168, 693, 1010, 7385, 607, 835, 5654, 693, 513, 3407, 4062, 540, 2123, 3959, 799, 1185, 11124, 930, 3441, 892, 630, 2419, 641, 514, 476, 275, 1040, 3798, 3534, 5433, 607, 952, 1352, 729, 711, 1200, 1378, 1268, 15042, 563, 9515, 5433, 18233, 909, 543, 7745, 269, 634, 1762, 8004, 1352, 1031, 547, 581, 267, 3552, 543, 1863, 267, 729, 1631, 1100, 811, 982, 513, 524, 3042, 6177, 269, 15215, 1500, 909, 1034, 540, 513, 7008, 779, 7365, 1282, 519, 476, 5197, 271, 338, 269, 898, 729, 2808, 606, 705, 558, 1588, 538, 519, 4064, 540, 2696, 952, 13277, 6670, 729, 8149, 676, 2901, 812, 610, 7385, 269, 6555, 13396, 729, 849, 16613, 2394, 519, 3735, 476, 5002, 271, 338, 1317, 16028, 729, 849, 9763, 4636, 543, 607, 13277, 6670, 538, 519, 4064, 540, 2696, 269, 4658, 945, 8149, 891, 10963, 941, 695, 684, 2740, 610, 741, 10639, 729, 8297, 1441, 269, 4658, 5433, 8078, 730, 547, 3251, 538, 14432, 22888, 1100, 2339, 875, 30898, 792, 762, 741, 3347, 3893, 1813, 547, 519, 10792, 29854, 563, 8867, 517, 576, 729, 513, 11511, 1961, 267, 513, 7826, 812, 267, 799, 3361, 1864, 547, 1745, 8078, 730, 547, 1010, 543, 3798, 3534, 779, 7365, 269, 1261, 5128, 1705, 711, 3494, 538, 7432, 2476, 689, 2696, 779, 2262, 267, 12355, 779, 476, 1724, 281, 275, 5587, 5809, 267, 968, 11321, 5846, 568, 8956, 762, 538, 782, 267, 543, 519, 5127, 3768, 1030, 6150, 281, 855, 627, 648, 332, 784, 619, 543, 2937, 18996, 2696, 786, 9794, 630, 21914, 10632, 19405, 476, 1724, 281, 275, 1040, 2290, 540, 519, 1292, 4128, 15182, 576, 11542, 676, 1010, 7385, 729, 1317, 540, 1010, 4984, 269, 1261, 9244, 5156, 646, 1131, 2628, 585, 32682, 1424, 1010, 7385, 538, 519, 1310, 1272, 269, 4438, 519, 2038, 476, 5002, 271, 338, 267, 950, 519, 4279, 30056, 729, 5206, 267, 7365, 543, 519, 5939, 1705, 711, 30598, 607, 1454, 607, 621, 1705, 538, 519, 2250, 563, 2026, 519, 887, 2130, 476, 736, 338, 3357, 1472, 267, 1004, 941, 811, 5059, 593, 5275, 5763, 2059, 609, 13884, 2864, 982, 2519, 593, 4984, 269, 8567, 607, 1134, 607, 824, 3909, 2853, 941, 1869, 13736, 267, 1346, 945, 1705, 851, 820, 538, 519, 2025, 1259, 540, 18468, 1869, 695, 25428, 1346, 945, 8149, 13277, 6670, 543, 16028, 269, 1306, 519, 476, 5002, 271, 338, 4797, 547, 1689, 267, 865, 1705, 2021, 543, 7365, 269, 6468, 3459, 9849, 10156, 267, 811, 13031, 7802, 547, 3343, 2367, 779, 3007, 607, 1134, 607, 519, 2856, 540, 22158, 4742, 811, 1455, 269, 6555, 528, 806, 849, 3459, 547, 1831, 811, 13998, 7608, 607, 519, 1158, 4797, 547, 1332, 563, 26170, 12758, 538, 1200, 5051, 6757, 7365, 267, 3988, 2253, 547, 1451, 602, 3798, 3534, 30716, 749, 1512, 568, 513, 13730, 267, 15141, 1190, 4807, 269, 1284, 1451, 875, 796, 3553, 339, 1194, 1352, 568, 538, 1200, 1272, 607, 519, 3209, 5170, 269, 25562, 932, 641, 514, 20186, 3798, 3534, 779, 4555, 267, 13821, 267, 543, 3527, 267, 1134, 2429, 519, 3209, 269, 3798, 3534, 779, 3527, 616, 3810, 20025, 585, 513, 4807, 540, 741, 1699, 678, 830, 1974, 269, 769, 519, 3209, 267, 3798, 3534, 814, 606, 968, 1177, 23818, 892, 543, 9060, 519, 10100, 547, 1118, 519, 2242, 1352, 12034, 2556, 547, 1118, 9887, 6126, 269, 2701, 12662, 1200, 10639, 267, 7365, 267, 1920, 267, 543, 1272, 593, 519, 1899, 1247, 1352, 2306, 891, 2242, 585, 9887, 563, 8253, 1152, 1281, 1352, 17847, 1200, 1920, 267, 1352, 9292, 1206, 1866, 538, 519, 1184, 267, 971, 607, 7917, 2274, 1962, 684, 543, 1325, 576, 324, 589, 13681, 514, 269, 3143, 835, 6785, 540, 30751, 547, 581, 21245, 1354, 1352, 1558, 609, 30056, 1586, 269, 6969, 1352, 729, 519, 1134, 268, 10458, 1229, 267, 15962, 7385, 269, 4173, 2146, 729, 1166, 629, 6199, 16556, 1317, 789, 1185, 2760, 1185, 513, 4807, 957, 856, 538, 971, 513, 812, 528, 30751, 1705, 269, 9603, 547, 30751, 779, 16420, 3527, 609, 30056, 267, 1352, 3123, 2669, 543, 606, 909, 549, 541, 538, 1200, 2146, 269, 30751, 5734, 543, 23689, 3733, 337, 1479, 14355, 1813, 547, 6117, 1932, 3728, 269, 4173, 22672, 1652, 3527, 711, 1152, 3361, 3733, 337, 1479, 779, 27757, 267, 855, 3361, 30056, 779, 607, 1134, 563, 5475, 1296, 540, 1373, 9310, 547, 15182, 576, 543, 2348, 1079, 8695, 267, 3798, 3534, 30877, 875, 27025, 30829, 1352, 568, 609, 1200, 1272, 269, 4173, 31135, 5956, 950, 1352, 12909, 811, 609, 8496, 655, 12251, 16279, 1234, 529, 345, 269, 2701, 12034, 875, 6126, 1200, 1272, 568, 1510, 513, 9393, 543, 3798, 3534, 779, 2247, 5956, 547, 4898, 1394, 547, 1200, 2395, 607, 513, 1762, 267, 1863, 4807, 269, 8496, 655, 12251, 16279, 849, 5956, 547, 5000, 3798, 3534, 547, 979, 1310, 1018, 1352, 7475, 909, 16462, 1034, 267, 7917, 269, 5020, 607, 3798, 3534, 6487, 621, 267, 568, 3411, 20814, 1200, 607, 1352, 13290, 865, 18418, 2299, 547, 581, 519, 4807, 1352, 568, 9277, 547, 581, 267, 1247, 3843, 547, 9787, 1018, 1352, 6499, 563, 6624, 1004, 1705, 711, 1294, 519, 3020, 2427, 540, 3798, 3534, 267, 1352, 729, 513, 27945, 11509, 267, 543, 1352, 1032, 2740, 585, 561, 755, 2059, 609, 6612, 269, 3143, 835, 6785, 3798, 3534, 1317, 1352, 6854, 1200, 4606, 19526, 2476, 689, 519, 3544, 1158, 269, 6145, 1082, 22888, 538, 519, 3735, 476, 5197, 271, 338, 267, 519, 20277, 543, 519, 536, 659, 3559, 648, 12076, 779, 2724, 3510, 729, 540, 1034, 2956, 269, 9093, 941, 771, 15517, 539, 538, 2021, 945, 1705, 711, 2097, 689, 14547, 610, 513, 1164, 1362, 1377, 269, 6468, 1419, 9310, 547, 723, 1710, 673, 3354, 269, 6468, 1510, 14547, 3885, 941, 2938, 607, 2370, 547, 1100, 946, 607, 513, 1697, 7385, 610, 2104, 3993, 269, 2290, 540, 1082, 4128, 1946, 3798, 3534, 9310, 15182, 576, 30716, 749, 1512, 729, 585, 2883, 3354, 563, 3891, 729, 1134, 1055, 538, 519, 1514, 1158, 607, 1134, 607, 519, 2324, 1158, 269, 2701, 6785, 1200, 10639, 1131, 723, 513, 1164, 7555, 952, 646, 7608, 1010, 7365, 11556, 269, 2991, 1896, 1296, 540, 7365, 543, 519, 17643, 532, 609, 13344, 267, 3798, 3534, 12034, 875, 5051, 796, 3553, 339, 1194, 1352, 568, 4742, 269, 769, 634, 21220, 23818, 267, 3798, 3534, 2829, 267, 968, 2507, 782, 10294, 602, 6004, 269, 30716, 749, 1512, 729, 519, 1655, 9393, 538, 519, 1158, 269, 11427, 269, 30716, 749, 1512, 729, 7142, 547, 16153, 602, 1352, 6785, 540, 9039, 1732, 630, 2419, 641, 514, 476, 1724, 1040, 901, 729, 519, 1101, 3236, 602, 3798, 3534, 779, 3020, 4606, 941, 6659, 909, 269, 8751, 645, 684, 2559, 534, 729, 513, 1762, 267, 14547, 536, 778, 11217, 945, 1131, 3411, 823, 607, 513, 1434, 8502, 543, 513, 1434, 7555, 538, 2486, 563, 12179, 1762, 536, 659, 3559, 648, 12076, 1131, 581, 2808, 18822, 547, 19533, 2576, 971, 607, 8751, 269, 30751, 729, 13631, 547, 1010, 5763, 267, 1352, 4956, 547, 3398, 1010, 7365, 11556, 267, 6616, 1352, 1131, 11014, 723, 3354, 609, 2724, 538, 1200, 7365, 269, 2991, 2348, 547, 3442, 1063, 8751, 543, 30056, 267, 30751, 8359, 8751, 269, 898, 568, 23062, 762, 602, 30751, 15653, 30056, 1813, 547, 1010, 818, 5766, 766, 607, 513, 9241, 14547, 1367, 543, 519, 1249, 602, 646, 6108, 1010, 2724, 22759, 3585, 607, 1004, 609, 1007, 5763, 798, 269, 589, 3395, 4250, 540, 30751, 779, 729, 602, 30056, 1131, 3653, 1010, 3003, 19539, 593, 24631, 13344, 543, 519, 14969, 267, 1256, 10169, 28457, 748, 6105, 646, 18799, 543, 2760, 13984, 563, 27094, 729, 711, 607, 1271, 607, 3354, 538, 30751, 779, 2104, 269, 4746, 267, 1776, 2601, 1946, 22888, 723, 1419, 8959, 568, 1317, 540, 741, 3885, 685, 8088, 725, 269, 1358, 941, 711, 9003, 1759, 593, 1152, 519, 3237, 267, 855, 607, 1134, 607, 741, 15556, 779, 10639, 269, 6468, 945, 1705, 711, 19533, 4547, 17847, 593, 741, 3885, 269, 3798, 3534, 4956, 547, 31111, 689, 1200, 3237, 676, 2261, 11538, 15182, 576, 269, 3245, 519, 4098, 267, 2094, 1352, 729, 1762, 267, 1352, 814, 2141, 6450, 8215, 547, 1346, 14191, 547, 1200, 269, 1879, 3798, 3534, 729, 1762, 267, 1352, 729, 811, 14126, 827, 1200, 10639, 538, 2486, 2864, 982, 4466, 2576, 1352, 5963, 6068, 269, 0, 1432, 568, 707, 24134, 1062, 543, 875, 798, 596, 917, 621, 568, 2635, 286, 3371, 779, 513, 476, 274, 291, 1935, 547, 3280, 24134, 269, 6258, 875, 547, 7001, 267, 19472, 267, 543, 1689, 707, 4555, 563, 7312, 1062, 540, 24134, 4016, 547, 519, 2497, 540, 707, 1893, 2861, 4978, 543, 875, 19858, 1702, 568, 9268, 563, 288, 20790, 568, 513, 1893, 3948, 602, 814, 2495, 269, 2334, 568, 267, 621, 6811, 1018, 568, 610, 11129, 547, 581, 563, 5278, 1004, 3277, 547, 707, 1062, 540, 24134, 607, 707, 5042, 1062, 267, 855, 607, 713, 2022, 593, 3627, 966, 969, 2967, 329, 330, 779, 3069, 540, 17133, 2306, 2312, 267, 649, 12582, 1406, 1118, 602, 12161, 563, 2026, 513, 4791, 18673, 267, 594, 993, 5461, 538, 519, 1072, 543, 8647, 540, 513, 1268, 779, 24134, 1062, 269, 898, 568, 835, 540, 519, 2947, 1949, 540, 7209, 14555, 602, 594, 22991, 6218, 630, 1492, 824, 2185, 616, 519, 4356, 1062, 267, 519, 23913, 1062, 267, 519, 2078, 1062, 267, 543, 519, 17872, 1062, 1916, 5649, 9650, 681, 636, 1588, 281, 476, 275, 17778, 547, 6435, 20958, 609, 20134, 32438, 454, 306, 895, 24134, 1949, 1450, 585, 1950, 6422, 267, 8465, 543, 13261, 4393, 540, 18747, 269, 898, 849, 2636, 585, 519, 5250, 540, 811, 2919, 10409, 4978, 543, 2418, 827, 13951, 267, 1866, 267, 519, 1158, 267, 543, 519, 2104, 563, 1607, 5816, 2022, 8843, 519, 8422, 595, 1505, 267, 799, 568, 835, 540, 519, 15864, 2081, 547, 1205, 513, 1745, 585, 707, 24117, 543, 1376, 519, 1184, 540, 1565, 875, 547, 1689, 621, 563, 3719, 1354, 267, 1577, 779, 1865, 13128, 4555, 563, 13706, 519, 1739, 6811, 267, 7648, 540, 799, 596, 4076, 4862, 1082, 2053, 538, 519, 2126, 4055, 912, 22154, 568, 29832, 755, 532, 269, 1548, 568, 519, 1448, 540, 1256, 3843, 18313, 17606, 3085, 1406, 2339, 1018, 594, 798, 267, 519, 1439, 1267, 568, 2141, 5821, 3034, 2108, 8448, 338, 723, 2141, 5701, 803, 15490, 569, 3034, 2108, 2791, 917, 875, 2367, 616, 2507, 789, 616, 782, 1085, 636, 3034, 14881, 666, 1406, 1256, 798, 2241, 1919, 269, 594, 6557, 1273, 4854, 3034, 12648, 513, 4090, 547, 1589, 543, 2307, 952, 596, 1589, 891, 6898, 616, 2635, 269, 1677, 7406, 713, 538, 2474, 540, 1072, 267, 2307, 281, 968, 9989, 513, 1434, 2385, 3391, 513, 1126, 538, 713, 1259, 286, 2048, 610, 2048, 3674, 602, 1945, 513, 8797, 543, 9921, 1268, 1131, 2161, 286, 20371, 7212, 649, 666, 581, 3222, 540, 938, 7787, 3074, 267, 519, 1249, 540, 519, 2339, 568, 602, 1034, 540, 519, 7787, 1436, 1184, 4386, 8850, 269, 2334, 568, 267, 1034, 540, 938, 1175, 5874, 616, 938, 3206, 6208, 269, 901, 568, 1946, 1250, 4116, 267, 26826, 570, 23894, 267, 1572, 968, 2246, 11703, 4555, 6100, 1261, 568, 519, 4651, 540, 5042, 3797, 267, 513, 1895, 540, 2553, 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 ]
[ 5839, 4861, 267, 533, 269, 476, 25134, 269, 9768, 476, 16318, 276, 4366, 277, 3066, 271, 267, 9768, 476, 7818, 16318, 276, 4366, 277, 3066, 278, 563, 268, 23101, 267, 15656, 269, 589, 19270, 1047, 3590, 540, 27491, 543, 22769, 585, 519, 631, 4106, 807, 543, 21816, 32580, 540, 519, 2136, 2276, 267, 1290, 2181, 9150, 532, 519, 20113, 543, 28073, 540, 519, 32691, 267, 8752, 32691, 267, 543, 681, 604, 548, 5443, 282, 595, 10052, 787, 543, 3203, 20455, 281, 8625, 609, 519, 6073, 540, 3257, 10279, 538, 717, 28207, 543, 538, 8805, 267, 543, 585, 519, 3029, 540, 3474, 3547, 267, 17352, 267, 543, 28018, 687, 267, 607, 3964, 1862, 1721, 519, 2229, 540, 519, 8617, 8136, 269, 16721, 1563, 543, 27336, 6548, 676, 6601, 23439, 18279, 590, 269, 23101, 267, 589, 728, 11546, 2275, 2086, 543, 19608, 1520, 329, 583, 656, 4937, 269, 7201, 519, 8111, 9679, 540, 11683, 4937, 12138, 5839, 4861, 267, 16710, 532, 519, 8136, 540, 519, 2136, 2276, 269, 630, 24589, 14702, 281, 7917, 623, 269, 2677, 559, 591, 267, 476, 8146, 277, 1916, 268, 31231, 560, 267, 30129, 1530, 2096, 712, 267, 634, 4108, 4876, 540, 12138, 5839, 4861, 543, 5839, 4861, 693, 15107, 1206, 15734, 476, 8687, 275, 267, 630, 5522, 30476, 15734, 267, 1715, 3840, 281, 22735, 6019, 8466, 5948, 267, 476, 2735, 280, 13776, 476, 5952, 6032, 563, 268, 670, 545, 4486, 267, 18496, 681, 269, 630, 1960, 271, 264, 634, 2782, 540, 476, 8687, 273, 281, 634, 1280, 326, 13516, 18366, 12124, 320, 267, 13325, 281, 2160, 540, 13325, 4964, 269, 2817, 8466, 5980, 3883, 15356, 543, 1977, 13639, 4659, 7454, 3883, 13815, 563, 268, 670, 545, 4486, 267, 18496, 681, 269, 630, 1220, 277, 264, 5213, 1405, 12315, 5455, 519, 26676, 256, 3733, 2195, 540, 519, 2782, 540, 476, 8687, 273, 269, 630, 31413, 320, 281, 2160, 540, 13325, 4964, 264, 9768, 476, 271, 268, 21857, 268, 31648, 8064, 268, 273, 454, 268, 23514, 9469, 267, 3627, 590, 269, 630, 6977, 277, 264, 667, 2130, 1546, 2644, 540, 1977, 2637, 5644, 269, 834, 20694, 6387, 5839, 4861, 2580, 630, 6124, 3840, 281, 589, 269, 589, 269, 22398, 2917, 267, 21629, 264, 6032, 269, 476, 27768, 1700, 27088, 563, 268, 18999, 326, 3578, 267, 589, 269, 808, 269, 630, 1220, 277, 1040, 5742, 476, 8687, 273, 281, 763, 4892, 5808, 674, 4454, 519, 5822, 2782, 540, 14412, 269, 1715, 3840, 281, 17363, 1299, 1744, 13831, 269, 9768, 476, 5881, 275, 27088, 277, 1240, 280, 563, 268, 5839, 4861, 267, 12138, 267, 11683, 4937, 540, 519, 2136, 2276, 8136, 267, 634, 6657, 540, 30271, 6742, 658, 267, 630, 6124, 3840, 281, 22489, 1299, 29564, 267, 476, 7277, 272, 264, 476, 15150, 3817, 563, 268, 5839, 4861, 267, 12138, 267, 589, 6164, 1047, 593, 6742, 658, 4521, 267, 543, 30271, 5336, 691, 658, 607, 4698, 5367, 538, 519, 2136, 2276, 269, 630, 13142, 31760, 281, 808, 269, 32129, 267, 476, 5197, 280, 1070, 1065, 21242, 630, 6124, 3840, 281, 4521, 1504, 16510, 267, 4873, 476, 1220, 278, 1070, 9768, 476, 15647, 5325, 278, 3583, 280, 276, 267, 9768, 476, 7818, 268, 15647, 5325, 278, 3583, 280, 271, 267, 476, 22430, 3817, 563, 268, 7085, 731, 267, 6276, 623, 269, 31639, 543, 2959, 593, 519, 11135, 540, 15107, 1206, 15734, 563, 268, 8891, 3205, 267, 8176, 808, 1421, 13639, 32445, 540, 519, 2782, 540, 476, 8687, 273, 630, 1015, 628, 1196, 12175, 630, 24589, 14702, 267, 14529, 12727, 6276, 645, 269, 8055, 1299, 3213, 1421, 6977, 273, 1916, 268, 27672, 267, 6723, 670, 1421, 6490, 7546, 540, 12138, 5839, 4861, 630, 6124, 3840, 281, 631, 262, 14976, 337, 987, 267, 10854, 338, 1299, 3213, 1421, 476, 8146, 274, 1916, 268, 17619, 267, 31187, 267, 634, 25220, 2782, 540, 476, 8687, 273, 2107, 519, 3778, 540, 519, 2136, 2276, 13108, 1282, 519, 7831, 2782, 609, 4279, 6628, 547, 6904, 1772, 2561, 2105, 606, 10055, 540, 519, 11135, 540, 1715, 20252, 630, 6642, 273, 264, 630, 6124, 3840, 281, 634, 7073, 7732, 267, 476, 1960, 280, 1040, 9768, 476, 271, 268, 23841, 268, 4037, 275, 866, 268, 280, 454, 6781, 574, 6130, 962, 269, 12832, 3326, 454, 347, 3849, 329, 583, 656, 2637, 5644, 540, 519, 772, 269, 590, 269, 8136, 2008, 19688, 476, 2764, 267, 476, 8687, 273, 11219, 340, 569, 476, 277, 267, 476, 8687, 273, 630, 716, 532, 994, 24171, 670, 269, 595, 5241, 454, 310, 1779, 518, 3223, 603, 14022, 626, 1737, 454, 347, 2419, 3971, 540, 19296, 2008, 297, 659, 984, 808, 269, 9466, 454, 347, 8333, 21505, 4937, 540, 519, 772, 2529, 269, 8136, 347, 0, 288, 2793, 299, 3041, 3041, 570, 5058, 298, 2969, 918, 2464, 292, 295, 2969, 3198, 918, 8008, 2207, 3008, 296, 808, 3008, 288, 26395, 308, 20315, 3198, 20219, 2752, 8656, 295, 22078, 685, 7246, 295, 454, 763, 18756, 1072, 4879, 568, 606, 2534, 602, 3800, 519, 18756, 1072, 2157, 21237, 269, 634, 1382, 568, 5921, 547, 917, 678, 1393, 540, 2883, 2533, 18756, 861, 7559, 327, 562, 328, 6557, 1695, 1296, 540, 1433, 476, 1001, 276, 268, 1001, 280, 269, 634, 4266, 11018, 4480, 585, 713, 1382, 568, 11042, 543, 25643, 269, 4578, 2079, 6801, 689, 12719, 519, 6060, 1142, 2460, 267, 3067, 4328, 519, 6060, 2949, 543, 3257, 519, 7678, 2079, 269, 3194, 2982, 602, 538, 519, 1032, 476, 1001, 276, 268, 1001, 280, 972, 729, 1100, 5021, 6060, 267, 1317, 972, 941, 1896, 3344, 799, 1185, 711, 2943, 6603, 513, 1164, 540, 519, 2298, 540, 11327, 2534, 267, 540, 2359, 267, 540, 4398, 267, 540, 28880, 267, 540, 18756, 1541, 527, 267, 540, 1582, 516, 18910, 543, 2208, 267, 543, 540, 861, 7559, 327, 6240, 10220, 563, 21292, 281, 2657, 540, 28991, 545, 2883, 2533, 1766, 2510, 563, 15648, 630, 322, 264, 476, 1708, 272, 808, 7838, 2793, 299, 31650, 7419, 307, 3198, 10485, 2433, 13138, 3198, 9915, 2752, 3198, 10485, 667, 3198, 31650, 7419, 307, 5723, 6579, 3951, 3008, 454, 1607, 960, 568, 13931, 896, 513, 11300, 12780, 21922, 9539, 517, 4467, 14293, 268, 5591, 32056, 643, 2510, 476, 275, 269, 271, 4139, 17821, 269, 0, 8802, 626, 1229, 3755, 4309, 513, 3099, 540, 2640, 1519, 519, 2702, 547, 21160, 4757, 25887, 267, 1711, 5172, 13746, 1592, 267, 543, 4688, 19707, 563, 8923, 4063, 602, 513, 12713, 3080, 1357, 2272, 1281, 711, 8850, 9886, 1569, 547, 2407, 17856, 1543, 269, 1323, 12250, 610, 2486, 4759, 20478, 568, 2838, 547, 2070, 1875, 14114, 5155, 7457, 1543, 563, 23086, 18078, 17106, 11333, 3820, 609, 1022, 2055, 563, 309, 592, 6647, 669, 4821, 630, 29834, 267, 476, 8146, 274, 1070, 4122, 1572, 519, 15729, 16541, 267, 568, 476, 272, 540, 476, 1556, 2249, 540, 23977, 6647, 269, 898, 568, 519, 1152, 2249, 540, 23977, 6647, 9648, 538, 7013, 4000, 267, 543, 568, 21049, 547, 602, 3148, 269, 898, 4386, 538, 7013, 4911, 7637, 267, 645, 1824, 32272, 267, 21601, 28992, 267, 3162, 4000, 267, 543, 27623, 25472, 269, 966, 269, 669, 4821, 568, 513, 28795, 32472, 16541, 543, 922, 10652, 720, 568, 3623, 854, 12457, 2429, 267, 1394, 540, 8930, 3534, 568, 512, 1177, 5500, 267, 543, 3043, 24827, 2049, 538, 519, 4395, 2059, 8930, 3534, 6316, 269, 898, 11148, 547, 19582, 25545, 543, 5033, 3511, 573, 1930, 9249, 543, 20555, 5631, 593, 1507, 11864, 543, 7786, 267, 855, 849, 27499, 5017, 267, 1507, 20641, 267, 543, 5613, 269, 966, 269, 669, 4821, 568, 711, 540, 5726, 6161, 543, 568, 7396, 607, 968, 8867, 770, 19634, 333, 892, 676, 519, 4139, 5742, 585, 519, 11094, 540, 7186, 543, 7849, 8249, 269, 0, 5591, 835, 1058, 2479, 723, 547, 1745, 13943, 267, 2604, 323, 267, 610, 3771, 21724, 267, 855, 602, 779, 4010, 1018, 779, 8345, 547, 12322, 1765, 16838, 693, 1153, 269, 6875, 938, 7688, 547, 1294, 875, 1454, 972, 568, 547, 917, 827, 1018, 2186, 540, 2623, 568, 543, 568, 9090, 711, 15528, 563, 7312, 14609, 344, 5484, 814, 3144, 547, 10978, 569, 10912, 513, 8004, 538, 707, 1362, 1010, 8004, 23136, 269, 2701, 3085, 1406, 3100, 883, 1864, 267, 855, 602, 779, 711, 16069, 5484, 689, 2141, 3032, 322, 16226, 610, 627, 626, 1782, 950, 646, 12034, 1200, 267, 6085, 532, 593, 1200, 1560, 267, 543, 6029, 909, 9170, 1352, 1522, 581, 9789, 22538, 2678, 807, 267, 519, 1153, 10689, 1811, 267, 1256, 1200, 1668, 3247, 269, 2334, 779, 513, 3787, 1454, 267, 596, 1589, 269, 1548, 596, 1522, 711, 917, 281, 898, 779, 849, 4638, 18275, 563, 6546, 779, 1318, 281, 20351, 18275, 568, 1022, 13311, 3007, 602, 5932, 513, 20935, 610, 18086, 5790, 1317, 540, 513, 1268, 779, 3023, 269, 1703, 779, 513, 5313, 1876, 267, 1634, 607, 7170, 26577, 267, 799, 568, 9277, 547, 2149, 1053, 689, 4638, 18275, 281, 898, 3081, 602, 513, 2875, 666, 1406, 581, 17792, 519, 4316, 547, 1451, 3274, 1317, 540, 1010, 610, 1200, 3023, 563, 7197, 4966, 3858, 649, 8910, 782, 581, 1732, 1055, 16069, 713, 4990, 540, 2623, 1318, 1141, 621, 4523, 267, 538, 938, 10689, 1811, 267, 13460, 267, 543, 15547, 9376, 518, 11623, 269, 901, 4422, 585, 3025, 1765, 16838, 3214, 945, 723, 2760, 3771, 21724, 4896, 610, 1044, 6098, 713, 1259, 269, 968, 2171, 3494, 602, 4638, 18275, 568, 513, 2146, 1966, 2223, 3081, 6480, 615, 654, 1046, 990, 267, 13653, 540, 17547, 20351, 2667, 5435, 538, 12140, 630, 306, 6347, 3041, 1040, 968, 2252, 972, 779, 1175, 835, 3236, 267, 621, 5932, 513, 2531, 3626, 1198, 281, 4033, 1053, 616, 2469, 547, 7198, 621, 543, 2911, 827, 621, 269, 2334, 5932, 4160, 543, 2242, 519, 3159, 538, 519, 3003, 1153, 3034, 763, 1434, 3377, 281, 1403, 649, 2461, 782, 4299, 676, 621, 267, 1287, 649, 666, 782, 960, 547, 1689, 621, 269, 1215, 798, 596, 917, 1018, 2623, 22613, 513, 1899, 286, 1684, 596, 917, 875, 547, 2463, 2635, 6302, 267, 543, 519, 2495, 540, 519, 2262, 9844, 286, 6875, 938, 7688, 267, 1759, 593, 1483, 3734, 13685, 267, 543, 2307, 3054, 1018, 596, 8910, 798, 563, 288, 269, 4210, 17274, 2066, 519, 4395, 10160, 543, 2030, 513, 21098, 593, 5981, 563, 289, 269, 2274, 534, 936, 7444, 543, 2307, 5981, 267, 968, 4692, 594, 21098, 596, 9495, 1354, 3001, 538, 563, 16032, 4781, 281, 645, 269, 1411, 4076, 4440, 4862, 540, 968, 5591, 1797, 1100, 1848, 1809, 1631, 267, 4966, 616, 849, 2519, 593, 968, 13433, 892, 1765, 553, 538, 267, 3478, 513, 11913, 25981, 968, 13433, 892, 1354, 1818, 2168, 3346, 609, 2576, 269, 1306, 1454, 607, 595, 1446, 321, 949, 2631, 602, 5981, 568, 4743, 519, 1482, 1259, 602, 646, 1281, 267, 595, 1446, 321, 1223, 581, 4636, 20196, 779, 1946, 646, 2115, 547, 2307, 269, 1656, 1256, 952, 5981, 3947, 1200, 9844, 538, 602, 4090, 676, 6031, 968, 13433, 892, 547, 513, 21098, 267, 595, 1446, 321, 1058, 1869, 917, 602, 5981, 1522, 1689, 1200, 2247, 827, 621, 693, 1022, 942, 269, 1924, 952, 5981, 6499, 547, 3247, 21098, 532, 267, 595, 1446, 321, 2115, 547, 3247, 563, 25446, 5254, 302, 7495, 24505, 11123, 19419, 303, 17614, 11083, 744, 7838, 590, 29558, 5357, 454, 2005, 729, 513, 1153, 10198, 538, 476, 1001, 275, 602, 1305, 1055, 513, 4838, 540, 12204, 693, 20588, 4400, 3427, 630, 289, 9391, 264, 538, 4993, 269, 968, 288, 1153, 23070, 5532, 4638, 18275, 547, 519, 1259, 6690, 21039, 2223, 3081, 645, 9391, 9972, 14667, 23821, 21672, 267, 6031, 602, 621, 1058, 581, 4397, 952, 6690, 4769, 1406, 968, 27920, 2933, 1848, 9710, 337, 1881, 267, 930, 1053, 1558, 693, 14667, 779, 2777, 547, 2911, 269, 968, 763, 811, 649, 14437, 267, 519, 811, 649, 7691, 602, 782, 540, 721, 1185, 1185, 2833, 609, 4638, 18275, 543, 4638, 2800, 267, 543, 649, 6785, 824, 3214, 945, 1705, 267, 1932, 2223, 14667, 3081, 269, 634, 5870, 1131, 1267, 538, 645, 9391, 17547, 4498, 23035, 267, 606, 8366, 20421, 3919, 4171, 2818, 13599, 9905, 827, 20025, 2623, 267, 12167, 585, 1689, 267, 543, 948, 1020, 1153, 3609, 269, 634, 1895, 568, 4830, 24568, 1931, 547, 4584, 922, 9666, 619, 543, 7500, 3544, 1153, 8630, 3652, 11652, 789, 4076, 2813, 513, 2528, 6521, 269, 590, 904, 14667, 281, 968, 7069, 4195, 2006, 1032, 267, 621, 729, 711, 16613, 585, 6690, 547, 1205, 3032, 21406, 610, 585, 972, 547, 581, 13680, 575, 1886, 532, 543, 782, 5686, 540, 14407 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 258, 13449, 513, 3758, 454, 2745, 3488, 13449, 519, 3758, 1422, 262, 3240, 17572, 17902, 32075, 5073, 325, 815, 1930, 3488, 3240, 17572, 17902, 12887, 337, 17210, 258, 1348, 782, 9115, 538, 3758, 535, 454, 2745, 3488, 268, 718, 9115, 538, 713, 3758, 5073, 4186, 757, 815, 535, 18667, 4590, 2745, 263, 4186, 757, 2020, 258, 1348, 2450, 815, 476, 272, 454, 2745, 3488, 268, 21653, 815, 476, 272, 5073, 325, 815, 1930, 3488, 3240, 17572, 17902, 12887, 337, 5073, 4186, 757, 272, 815, 535, 18667, 263, 272, 994, 2745, 263, 4186, 757, 272, 2020, 258, 604, 2450, 815, 476, 272, 267, 1287, 1224, 4986, 11631, 2496, 258, 2280, 781, 2119, 2450, 815, 476, 276, 454, 258, 1348, 2450, 815, 476, 276, 454, 2745, 3488, 268, 21653, 815, 476, 276, 5073, 325, 815, 1930, 3488, 3240, 17572, 17902, 12887, 337, 5073, 4186, 757, 276, 815, 535, 18667, 263, 276, 994, 2745, 263, 4186, 757, 276, 2020, 258, 7474, 1797, 1224, 4433, 1125, 264, 14574, 875, 1454, 3197, 1224, 1142, 942, 692, 258, 852, 1577, 781, 2119, 1224, 1467, 3890, 1599, 454, 2745, 3488, 268, 1348, 1467, 1599, 5073, 325, 815, 1930, 3488, 3240, 17572, 17902, 12887, 337, 5073, 338, 815, 535, 18667, 1467, 4590, 2745, 263, 516, 1440, 4433, 4917, 338, 815, 535, 18667, 1467, 4590, 2745, 263, 516, 1440, 4433, 4917, 338, 815, 535, 18667, 1467, 4590, 2745, 263, 516, 1440, 4433, 11723, 258, 31467, 1498, 519, 3758, 3097, 2745, 3488, 31467, 519, 3758, 5073, 1467, 19617, 815, 476, 272, 454, 325, 815, 1930, 3488, 3240, 17572, 17902, 12887, 337, 5073, 1721, 1899, 538, 535, 912, 13537, 3488, 1467, 3299, 1439, 815, 1412, 30386, 13537, 19304, 263, 1467, 19617, 1070, 1439, 815, 1412, 281, 30386, 13537, 263, 1467, 267, 1439, 815, 1412, 5073, 453, 1467, 19617, 6834, 476, 272, 692, 258, 514, 519, 585, 8520, 540, 3758, 267, 621, 20206, 3634, 519, 1439, 1899, 267, 711, 547, 1820, 621, 19638, 0, 342, 656, 6831, 820, 815, 834, 13433, 4840, 17647, 6831, 820, 815, 834, 7224, 5016, 604, 1616, 6831, 820, 2652, 834, 13433, 13426, 825, 1820, 2891, 2171, 1616, 14735, 907, 23528, 825, 952, 723, 6831, 820, 2652, 834, 7224, 13426, 1038, 1820, 2891, 3719, 649, 1810, 1405, 723, 1022, 14735, 5602, 825, 8640, 723, 6831, 820, 2652, 834, 13433, 13426, 1038, 1820, 2891, 4517, 621, 781, 938, 18822, 1554, 5602, 12828, 912, 825, 1820, 2891, 763, 14735, 568, 513, 9114, 8442, 0, 3698, 4009, 28840, 2187, 825, 13483, 337, 19571, 815, 703, 28840, 264, 2878, 476, 273, 454, 825, 2132, 13483, 337, 19571, 692, 6358, 19571, 815, 3403, 2891, 8923, 4283, 519, 3490, 1297, 281, 19515, 16059, 19571, 815, 4009, 9272, 19571, 2020, 2745, 2891, 763, 4009, 540, 15079, 568, 15079, 2668, 8971, 9272, 19571, 267, 16059, 19571, 4297, 0, 5814, 19523, 7531, 3698, 5021, 9272, 8217, 2187, 825, 1948, 8263, 1101, 568, 519, 5021, 454, 825, 544, 815, 3403, 8217, 314, 271, 2639, 825, 1948, 5372, 952, 1776, 568, 3677, 454, 825, 585, 795, 538, 3403, 8217, 912, 1038, 952, 795, 3436, 544, 912, 2018, 544, 815, 795, 454, 825, 2132, 544, 7531, 604, 6449, 4067, 1029, 2652, 21507, 10852, 23922, 8931, 825, 952, 7003, 4433, 903, 27769, 341, 264, 2999, 476, 273, 912, 1038, 1820, 3488, 921, 848, 1683, 513, 1592, 540, 2338, 5073, 1038, 19523, 20216, 527, 10797, 825, 2338, 815, 1496, 842, 3287, 264, 585, 1535, 538, 19523, 27769, 341, 314, 272, 281, 316, 6540, 825, 1820, 3488, 10946, 3065, 281, 15079, 8339, 8971, 32384, 3065, 3799, 13246, 21875, 0, 5814, 19523, 7531, 3698, 4019, 6600, 15635, 267, 3403, 8217, 2187, 825, 2132, 8217, 815, 1496, 325, 15635, 263, 14403, 264, 585, 6221, 538, 3403, 8217, 2639, 825, 2132, 2132, 8217, 7531, 3698, 31194, 27182, 2187, 825, 952, 1826, 27182, 264, 2652, 1193, 912, 1038, 2132, 2262, 314, 271, 4940, 21639, 3890, 1341, 2262, 314, 272, 281, 2639, 825, 2132, 2262, 7531, 3698, 27261, 28840, 2187, 825, 952, 1826, 28840, 264, 2652, 703, 912, 1038, 2132, 1297, 1341, 476, 272, 454, 825, 2132, 1297, 7531, 3698, 2027, 23544, 9272, 8217, 2187, 825, 703, 23544, 815, 476, 271, 454, 825, 1193, 23544, 815, 1412, 7055, 825, 585, 6221, 538, 3403, 8217, 912, 1038, 952, 1826, 263, 14403, 264, 2652, 1193, 912, 2018, 1193, 23544, 6834, 6221, 454, 1038, 952, 1826, 263, 14403, 264, 2652, 703, 912, 2018, 703, 23544, 6834, 6221, 454, 825, 3403, 8217, 6910, 19304, 23544, 1341, 1193, 17301, 23544, 4917, 825, 2132, 3403, 8217, 7531, 604, 6449, 4067, 1029, 2652, 21507, 10852, 23922, 825, 3403, 8217, 815, 1496, 272, 267, 476, 273, 267, 1412, 16341, 3299, 1412, 327, 7026, 3299, 476, 3451, 267, 1412, 332, 24546, 262, 6540, 825, 1820, 3488, 6358, 1592, 281, 15079, 8339, 8971, 9272, 8217, 4917, 825, 1820, 3488, 5115, 1388, 1125, 281, 15079, 8339, 8971, 263, 1952, 569, 263, 5115, 1388, 1125, 267, 3403, 8217, 21875, 825, 1820, 3488, 27463, 618, 281, 15079, 8339, 8971, 263, 1952, 569, 263, 27463, 618, 267, 3403, 8217, 21875, 825, 1820, 3488, 338, 2133, 2040, 281, 15079, 8339, 8971, 4433, 2133, 23544, 9272, 8217, 21875, 0, 5228, 1187, 551, 8962, 1104, 12109, 1186, 454, 5228, 17511, 1104, 7102, 267, 11910, 762, 267, 3143, 27987, 267, 7392, 309, 541, 692, 5228, 17511, 318, 2169, 5014, 1104, 20368, 11854, 322, 692, 258, 18498, 1162, 912, 318, 5575, 13911, 815, 7392, 309, 541, 3488, 318, 5575, 13911, 5073, 318, 13553, 13911, 815, 7392, 309, 541, 3488, 318, 13553, 13911, 5073, 318, 23612, 13911, 815, 7392, 309, 541, 3488, 318, 23612, 13911, 17210, 318, 293, 15635, 13640, 4461, 815, 20368, 11854, 322, 3488, 318, 293, 15635, 13640, 4461, 262, 9239, 3698, 3961, 263, 27349, 281, 9041, 5575, 13911, 264, 9847, 9041, 5575, 13911, 912, 825, 8173, 825, 9577, 602, 7024, 922, 4661, 780, 825, 10371, 3009, 15311, 9226, 692, 8587, 21188, 7682, 3961, 263, 272, 264, 2652, 476, 272, 454, 8587, 21188, 7682, 3961, 8443, 272, 267, 476, 273, 267, 476, 274, 8079, 2652, 1496, 272, 267, 476, 273, 267, 476, 274, 6540, 825, 901, 1599, 568, 2731, 5363, 585, 930, 5888, 563, 825, 898, 568, 849, 3730, 585, 834, 4777, 4986, 257, 946, 30924, 780, 825, 6423, 849, 912, 1038, 910, 4179, 2517, 523, 25769, 3820, 28293, 270, 15275, 640, 6958, 4233, 454, 1038, 910, 4179, 2517, 23637, 1478, 6503, 2593, 21669, 270, 21497, 271, 4792, 10170, 270, 4366, 275, 28638, 273, 692, 825, 8173, 825, 2132, 3236, 7531, 3698, 17492, 18692, 825, 1101, 281, 11910, 762, 314, 314, 318, 5575, 13911, 3910, 9041, 13553, 13911, 16689, 825, 2034, 281, 11910, 762, 314, 314, 318, 13553, 13911, 3910, 9041, 23612, 13911, 16689, 264, 9847, 11910, 762, 314, 314, 318, 5575, 13911, 3910, 9041, 23612, 13911, 14158, 825, 8173, 825, 14190, 338, 1599, 5888, 780, 825, 3718, 607, 281, 12181, 16149, 1547, 1101, 1730, 610, 12181, 14140, 3890, 1923, 285, 2034, 3890, 1730, 563, 825, 1411, 666, 1224, 621, 607, 834, 16149, 1310, 1101, 6231, 825, 10371, 3009, 15311, 9226, 692, 8587, 21188, 7682, 17492, 263, 15615, 267, 703, 264, 3488, 11277, 269, 276, 10807, 2652, 476, 11277, 692, 825, 1284, 666, 1152, 17492, 3252, 609, 835, 4661, 543, 835, 2132, 563, 825, 7392, 13761, 563, 825, 8173, 825, 2132, 25754, 4661, 281, 2034, 6600, 1009, 263, 30348, 264, 9239, 3698, 7148, 18692, 825, 1599, 281, 11910, 762, 314, 314, 318, 5575, 13911, 3910, 7102, 16689, 264, 9847, 11910, 762, 314, 314, 318, 5575, 13911, 3910, 9041, 5575, 13911, 14158, 825, 8173, 825, 14190, 338, 547, 4019, 930, 1599, 543, 2132, 606, 4661, 267, 3079, 540, 513, 1267, 780, 825, 1772, 3730, 585, 21882, 3252, 609, 454, 825, 2427, 13716, 338, 899, 12181, 2745, 3890, 1730, 267, 12181, 8421, 3455, 28802, 3890, 1730, 267, 3092, 780, 825, 10371, 3009, 15311, 9226, 692, 8587, 21188, 7682, 7148, 263, 2745, 7565, 272, 264, 2652, 476, 272, 454, 8587, 476, 272, 454, 8587, 21188, 7682, 7148, 10857, 10033, 9041, 281, 476, 272, 7565, 273, 264, 2652, 476, 273, 692, 825, 6423, 849, 912, 1038, 910, 4179, 2517, 326, 603, 889, 2593, 7933, 787, 1790, 3155, 270, 4958, 5281, 270, 1170, 1132, 270, 13970, 692, 825, 8173, 825, 1219, 7718, 1807, 263, 30348, 15461, 318, 8873, 281, 9041, 5575, 13911, 264, 9847, 9041, 5575, 13911, 912, 1038, 1599, 263, 30348, 15461, 318, 8873, 994, 1038, 2132, 4661, 15461, 318, 8873, 454, 825, 2132, 7718, 1807, 7531, 3698, 2150, 777, 18692, 825, 1599, 281, 11910, 762, 314, 314, 318, 5575, 13911, 3910, 7102, 16689, 264, 9847, 11910, 762, 314, 314, 318, 5575, 13911, 3910, 7183, 14158, 825, 8173, 825, 14190, 338, 547, 4019, 930, 1599, 543, 2141, 2132, 12181, 14085, 1730, 607, 513, 1267, 780, 825, 1772, 3730, 585, 21882, 3252, 602, 798, 930, 2427, 2360, 454, 825, 543, 2132, 930, 562, 657, 1619, 780, 825, 1772, 519, 2186, 540, 513, 9258, 540, 519, 12181, 339, 777, 1730, 1599, 780, 825, 10371, 3009, 15311, 9226, 692, 8587, 21188, 1219, 9490, 318, 8421, 263, 1173, 281, 703, 264, 9847, 703, 912, 8587, 3267, 672, 1820, 263, 1173, 994, 8587, 3267, 672, 2132, 2415, 692, 8587, 21188, 7682, 2150, 777, 19304, 1052, 318, 8421, 7565, 273, 264, 568, 7183, 454, 8587, 476, 273, 454, 8587, 21188, 7682, 2150, 777, 6025, 777, 10857, 10033, 9041, 281, 476, 272, 4297, 263, 273, 264, 568, 7183, 692, 825, 6423, 849, 912, 1038, 910, 4179, 2517, 326, 603, 889, 2593, 7933, 787, 1790, 3155, 270, 4958, 5281, 270, 1170, 1132, 270, 13970, 692, 825, 8173, 825, 1219, 7718, 1807, 263, 30348, 15461, 318, 8873, 281, 9041, 5575, 13911, 264, 9847, 7183, 912, 1038, 1599, 263, 30348, 15461, 318, 8873, 994, 825, 2132, 7718, 1807, 7531, 3698, 6318, 318, 1410, 4003, 263, 1410, 4003, 281, 1401, 4003, 264, 9847, 3143, 27987, 912, 825, 8173, 825, 4477, 704, 1599, 547, 6318, 17756, 607, 513, 1599, 780, 825, 898, 1522, 581, 2838, 607, 513, 17356, 1907, 585, 4540, 29026, 563, 825, 2334, 781, 875, 621, 666, 581, 1031, 1384, 825, 10371, 3009, 15311, 7510, 935, 692, 8587, 21188, 689, 7024, 269, 14310, 1104, 23299, 267, 28088, 454, 8587, 21188, 1948, 2368, 5106, 1267, 912, 8587, 21188, 3593, 281, 28088, 27776, 267, 28759, 316, 815, 23299, 263, 19368, 13286, 3488, 2692, 558, 10807, 2020, 8587, 21188, 1948, 3371, 649, 7938, 1905, 4835, 9868, 543, 6318, 621, 912, 8587, 21188, 3593, 269, 5306, 263, 571, 1047, 318, 1410, 4003, 994, 8587, 29895, 3724, 630, 2865, 2487, 1289, 2063, 2187, 1038, 4429, 8587, 28759, 281, 22820, 692, 825, 6423, 849, 912, 1038, 910, 4179, 2517, 326, 603, 889, 2593, 7933, 787, 1790, 3155, 270, 4958, 5281, 270, 1170, 1132, 270, 6321, 692, 825, 8173, 825, 6318, 9868, 7531, 3698, 711, 318, 263, 10818, 281, 11910, 762, 314, 318, 293, 15635, 13640, 4461, 267, 536, 944, 8079, 9847, 11910, 762, 314, 318, 293, 15635, 13640, 4461, 267, 536, 944, 14158, 825, 8173, 825, 9324, 625, 519, 1599, 7024, 780, 825, 10371, 3009, 15311, 9226, 692, 8587, 21188, 689, 7024, 269, 14310, 1104, 28088, 267, 11773, 267, 23299, 692, 8587, 21188, 1219, 568, 5334, 22066, 31114, 318, 935, 1555, 518, 281, 28088, 314, 15615, 267, 703, 8079, 9847, 536, 944, 912, 8587, 3267, 672, 2132, 568, 27349, 31114, 318, 935, 1555, 518, 267, 11773, 2020, 8587, 21188, 7682, 711, 318, 263, 529, 5334, 22066, 7565, 306, 15471, 263, 272, 269, 271, 4297, 568, 8771, 454, 8587, 21188, 7682, 711, 318, 263, 529, 5334, 22066, 7565, 293, 19691, 263, 272, 4297, 568, 6936, 692, 825, 8173, 825, 7711, 342, 571, 1186, 6600, 4233, 994, 825, 1219, 7718, 1807, 18692, 1038, 2608, 16911, 281, 9041, 293, 15635, 13640, 4461, 269, 16911, 2676, 1038, 2878, 29220, 16911, 281, 9041, 293, 15635, 13640, 4461, 21993, 342, 16911, 2676, 825, 3738, 9847, 536, 944, 912, 1038, 2132, 711, 1599, 28949, 16911, 267, 2878, 29220, 16911, 994, 825, 2132, 7718, 1807, 454, 0, 26611, 23591, 24800, 19841, 341, 9226, 692, 12163, 17653, 919, 3652, 540, 519, 1106, 589, 25341, 589, 645, 269, 634, 4164, 614, 1412, 12741, 262, 1999, 16772, 519, 454, 15893, 540, 3652, 602, 786, 581, 6383, 269, 634, 5934, 1297, 568, 476, 1911, 267, 553, 519, 3490, 454, 3553, 814, 476, 1015, 2609, 543, 1169, 4341, 3340, 693, 2547, 513, 2451, 543, 513, 1318, 2427, 563, 2467, 1721, 519, 1295, 332, 636, 1297, 568, 476, 1015, 265, 1015, 3652, 543, 519, 5934, 1871, 540 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 723, 4010, 1269, 1789, 540, 1871, 693, 942, 476, 272, 267, 1287, 1175, 1305, 835, 540, 519, 12035, 630, 274, 610, 476, 275, 264, 607, 4642, 543, 4194, 519, 1062, 269, 19227, 267, 547, 4194, 513, 811, 10853, 1966, 267, 596, 666, 4194, 606, 11938, 1966, 547, 11694, 707, 4397, 2628, 4752, 267, 2016, 513, 259, 1789, 6578, 563, 4131, 1269, 342, 19963, 267, 530, 10734, 267, 530, 6831, 267, 530, 5091, 259, 581, 519, 2179, 540, 9489, 540, 1142, 10697, 12349, 693, 1269, 339, 318, 271, 259, 543, 1269, 303, 10983, 259, 519, 1871, 540, 707, 14769, 538, 519, 1533, 540, 519, 1158, 1269, 328, 22174, 1422, 346, 272, 267, 273, 267, 274, 315, 21456, 2330, 10946, 1422, 12101, 12101, 267, 476, 271, 269, 1839, 2608, 623, 3709, 272, 348, 1341, 476, 271, 269, 276, 2608, 623, 3709, 273, 348, 1341, 476, 271, 269, 1839, 2608, 623, 3709, 274, 6525, 3230, 338, 6745, 269, 1422, 12101, 12101, 267, 476, 276, 342, 19963, 266, 276, 342, 10734, 266, 1015, 342, 6831, 266, 275, 342, 5091, 284, 1789, 2330, 7316, 3230, 303, 318, 272, 815, 476, 277, 530, 19963, 1341, 476, 274, 530, 10734, 1341, 476, 1321, 530, 6831, 1341, 476, 280, 530, 5091, 2330, 3230, 303, 318, 273, 815, 476, 280, 530, 19963, 1341, 476, 274, 530, 10734, 1341, 476, 1321, 530, 6831, 1341, 476, 274, 530, 5091, 2330, 3230, 303, 318, 274, 815, 476, 1321, 530, 19963, 1341, 476, 277, 530, 10734, 1341, 476, 280, 530, 6831, 1341, 476, 274, 530, 5091, 16465, 7069, 7058, 568, 602, 519, 1655, 14769, 5161, 7357, 540, 1269, 342, 19963, 10608, 0, 258, 20653, 6290, 281, 2107, 321, 1388, 5288, 269, 18521, 1901, 692, 4407, 3206, 827, 9101, 6991, 5063, 267, 594, 9289, 1946, 20771, 6991, 7012, 1406, 519, 1482, 607, 9101, 6991, 269, 634, 20932, 729, 281, 2015, 606, 1843, 538, 513, 9764, 10739, 1472, 519, 3047, 693, 3432, 642, 269, 1403, 519, 1843, 11250, 909, 1175, 513, 1159, 3805, 267, 1287, 922, 25916, 531, 3196, 4679, 267, 799, 27605, 621, 5594, 2417, 2476, 689, 3047, 267, 1141, 8904, 568, 21260, 267, 865, 621, 4422, 1256, 2417, 2476, 267, 3092, 269, 898, 4667, 899, 513, 2318, 5955, 5832, 5114, 267, 519, 1843, 3478, 24482, 2417, 2476, 689, 661, 269, 2334, 1131, 17538, 602, 20771, 6991, 11224, 9101, 6991, 267, 1317, 952, 596, 979, 1256, 513, 1159, 3805, 5488, 267, 596, 3580, 5555, 9101, 10739, 780, 4913, 267, 594, 5249, 856, 519, 4834, 543, 9101, 6991, 568, 711, 3160, 547, 20771, 6991, 267, 855, 621, 779, 827, 476, 6078, 260, 5488, 630, 716, 1302, 267, 4009, 3597, 540, 476, 273, 5488, 1040, 16270, 2417, 2219, 267, 594, 7691, 1250, 4505, 20932, 14406, 513, 1883, 1448, 281, 607, 519, 1843, 3001, 5594, 5488, 4422, 2417, 689, 3047, 267, 922, 18330, 1166, 3430, 839, 856, 269, 1879, 922, 18330, 568, 513, 5858, 267, 519, 3196, 540, 3047, 779, 8904, 568, 13902, 547, 922, 5163, 267, 865, 621, 1281, 711, 1860, 519, 1843, 779, 3432, 269, 1809, 950, 519, 1843, 779, 18330, 1166, 3430, 839, 856, 267, 621, 779, 1100, 3476, 513, 5858, 267, 865, 3047, 779, 14965, 7485, 568, 1100, 3476, 13902, 547, 922, 5163, 269, 2368, 1507, 6712, 540, 3047, 779, 14965, 7485, 568, 23646, 621, 1524, 256, 3973, 267, 540, 1576, 267, 27605, 621, 4464, 3432, 532, 621, 909, 607, 621, 2501, 1472, 519, 824, 2427, 540, 519, 31753, 780, 3383, 950, 519, 1843, 11250, 909, 513, 1159, 3805, 267, 922, 10739, 3587, 14248, 18967, 673, 269, 898, 814, 547, 979, 3648, 5488, 982, 602, 547, 9101, 689, 3047, 269, 769, 1249, 267, 827, 476, 6078, 260, 5488, 2094, 519, 3017, 568, 519, 4009, 3597, 540, 476, 273, 780, 1607, 849, 1797, 25057, 616, 7123, 281, 952, 519, 6991, 2242, 513, 3787, 519, 3337, 540, 519, 10739, 2242, 267, 855, 621, 13978, 538, 10739, 269, 1403, 9101, 6991, 3160, 539, 20771, 6991, 267, 25057, 1131, 581, 18633, 281, 519, 13581, 652, 29424, 1131, 6494, 621, 856, 883, 2230, 610, 3303, 2718, 27808, 780, 2691, 519, 2979, 17591, 338, 20932, 267, 621, 5012, 547, 556, 6253, 9722, 799, 666, 15052, 835, 779, 16022, 1620, 269, 0, 293, 12767, 24822, 454, 1721, 9753, 936, 11278, 1789, 454, 293, 12767, 5530, 21998, 454, 5976, 1169, 1931, 20330, 305, 28714, 20056, 550, 454, 12895, 3028, 454, 293, 12767, 16849, 454, 7224, 844, 756, 7632, 454, 310, 3036, 17162, 310, 22432, 1744, 6235, 454, 1729, 476, 1220, 266, 18831, 692, 290, 4209, 10606, 692, 763, 2165, 1412, 322, 4209, 1297, 262, 949, 3100, 513, 2370, 25254, 693, 1101, 267, 855, 621, 568, 2965, 1360, 2241, 2439, 1432, 568, 513, 13306, 1297, 2496, 288, 13306, 1297, 568, 519, 1587, 540, 513, 1297, 799, 814, 1044, 16611, 676, 3294, 1614, 2053, 780, 2690, 1383, 267, 476, 5038, 543, 476, 10219, 616, 1312, 13306, 2338, 1317, 789, 616, 519, 1267, 540, 14921, 476, 275, 6398, 476, 275, 6398, 476, 275, 543, 476, 276, 6398, 476, 276, 6398, 476, 276, 267, 6606, 780, 290, 4209, 7089, 6726, 566, 454, 5038, 476, 275, 6398, 476, 275, 6398, 476, 275, 454, 10219, 476, 276, 6398, 476, 276, 6398, 476, 276, 692, 3963, 568, 621, 1572, 513, 1412, 322, 4209, 1297, 262, 2496, 4322, 2338, 616, 3957, 13306, 2338, 1317, 267, 538, 3308, 11269, 267, 782, 13306, 2338, 666, 1106, 513, 13306, 780, 290, 4209, 1297, 10439, 6041, 454, 279, 454, 2767, 454, 5038, 454, 10219, 692, 1692, 798, 594, 13306, 513, 1297, 2496, 2691, 513, 1297, 568, 1412, 31957, 539, 262, 621, 568, 3274, 16611, 676, 3294, 1614, 2053, 780, 1103, 9273, 267, 2338, 547, 581, 7750, 539, 616, 2854, 1210, 519, 7750, 539, 3090, 610, 7750, 539, 10035, 267, 513, 1507, 476, 274, 5116, 1985, 547, 519, 1297, 547, 581, 7750, 539, 780, 763, 3349, 2630, 2982, 1896, 1806, 1384, 290, 889, 539, 3502, 566, 6726, 566, 28116, 7089, 454, 6246, 476, 275, 6398, 476, 275, 6398, 476, 275, 476, 5038, 454, 8287, 476, 277, 6398, 476, 277, 6398, 476, 277, 476, 21327, 454, 10695, 476, 279, 6398, 476, 279, 6398, 476, 279, 476, 24423, 454, 9818, 476, 1015, 6398, 476, 1015, 6398, 476, 1015, 476, 272, 267, 1822, 692, 1432, 616, 519, 1101, 476, 1321, 13306, 2338, 2496, 19350, 568, 513, 13306, 2338, 1592, 909, 547, 476, 272, 267, 278, 2764, 1384, 1724, 476, 2537, 476, 3451, 476, 6246, 476, 7871, 476, 8287, 476, 10463, 476, 10695, 476, 11152, 476, 9818, 476, 13647, 476, 11277, 454, 272, 476, 279, 476, 2767, 476, 5038, 476, 10219, 476, 21327, 476, 29340, 476, 24423, 476, 278, 3066, 476, 272, 267, 1822, 476, 272, 267, 28664, 476, 272, 267, 278, 2764, 692, 14399, 1058, 581, 2111, 547, 5173, 13306, 2338, 1210, 741, 2053, 7515, 543, 630, 604, 2838, 264, 2110, 610, 1279, 8691, 780, 5472, 13306, 2338, 689, 476, 272, 1107, 476, 1015, 267, 1822, 692, 2467, 616, 476, 2641, 13306, 2338, 1063, 476, 272, 543, 476, 1015, 267, 1822, 1384, 476, 272, 476, 29340, 476, 273, 267, 3192, 476, 277, 267, 5952, 280, 476, 279, 476, 24423, 476, 273, 267, 278, 4510, 476, 279, 267, 1822, 476, 2767, 476, 278, 3066, 476, 274, 267, 23841, 476, 280, 267, 28360, 476, 5038, 476, 272, 267, 1822, 476, 275, 267, 6021, 277, 476, 10219, 476, 272, 267, 28664, 476, 275, 267, 280, 1724, 476, 21327, 476, 272, 267, 278, 2764, 476, 276, 267, 279, 3953, 692, 3963, 798, 1453, 991, 547, 917, 827, 13306, 2338, 2496, 15447, 1578, 540, 13306, 2338, 568, 6225, 538, 824, 6128, 3584, 267, 971, 607, 12719, 519, 12531, 540, 4396, 5546, 971, 607, 18695, 267, 26829, 543, 26561, 780, 2691, 798, 1453, 1451, 827, 13306, 2338, 2496, 763, 2817, 15099, 3340, 1453, 547, 2253, 1565, 827, 13306, 2338, 607, 851, 540, 741, 8691, 543, 6498, 1888, 538, 5729, 476, 276, 269, 5753, 786, 1287, 3136, 547, 1628, 2390, 713, 538, 5729, 476, 277, 543, 1451, 547, 4019, 621, 547, 948, 4194, 2042, 5473, 12531, 780, 7659, 18745, 692, 1892, 28116, 2338, 616, 519, 1267, 540, 14921, 513, 1297, 676, 3294, 1614, 2053, 563, 1892, 634, 7750, 539, 3090, 568, 513, 1507, 1412, 274, 3299, 552, 3052, 269, 476, 10463, 563, 1892, 1677, 13306, 513, 1297, 3274, 9062, 621, 676, 3294, 1614, 2053, 563, 1892, 28116, 2338, 1106, 513, 13306, 538, 3308, 11269, 269, 0, 258, 19336, 8890, 6776, 2409, 538, 4460, 990, 3525, 2454, 269, 8033, 748, 5384, 4460, 990, 17738, 2473, 281, 681, 9847, 2473, 18725, 2098, 630, 15759, 619, 264, 2473, 6025, 2567, 1533, 693, 942, 512, 2473, 281, 1533, 2230, 630, 4134, 4740, 1107, 1293, 762, 2020, 1012, 19809, 593, 6249, 281, 834, 30467, 8890, 6776, 2409, 538, 4460, 990, 3525, 2454, 269, 8033, 748, 5384, 4460, 990, 17738, 2473, 281, 681, 9847, 2473, 18725, 2098, 630, 15759, 619, 264, 2473, 6025, 2567, 1533, 693, 942, 512, 2473, 281, 1533, 2230, 630, 4134, 4740, 1107, 1293, 762, 17983, 1765, 19809, 13973, 1384, 30467, 8890, 6776, 2409, 538, 4460, 990, 3525, 2454, 692, 16676, 748, 5384, 4460, 990, 17738, 2473, 281, 681, 9847, 2473, 18725, 2098, 630, 15759, 619, 264, 2473, 6025, 2567, 1533, 693, 942, 512, 2473, 281, 1533, 2230, 630, 4134, 4740, 1107, 1293, 762, 264, 681, 281, 1483, 2338, 630, 11666, 6681, 942, 1899, 2020, 16676, 748, 5384, 4460, 990, 17738, 2473, 568, 4062, 3772, 3586, 2473, 568, 3335, 20017, 25419, 9497, 11666, 826, 20221, 5323, 924, 267, 1929, 924, 20221, 12238, 3832, 8442, 815, 681, 12710, 299, 12462, 2431, 6024, 609, 2451, 7182, 892, 2020, 9558, 819, 17831, 623, 11583, 6025, 266, 327, 6661, 329, 347, 311, 6025, 6661, 328, 264, 476, 26528, 554, 2485, 372, 1775, 329, 585, 1775, 25104, 373, 795, 623, 11583, 6025, 266, 327, 6661, 329, 347, 311, 6025, 6661, 329, 264, 815, 476, 272, 268, 17986, 354, 1775, 25104, 373, 795, 623, 11583, 6025, 266, 327, 6661, 328, 347, 311, 6025, 6661, 329, 264, 476, 26528, 476, 272, 268, 554, 17986, 354, 1775, 25104, 373, 795, 2485, 372, 795, 328, 623, 11583, 6025, 266, 327, 6661, 329, 6661, 17986, 354, 1775, 623, 11583, 6025, 266, 327, 6661, 329, 543, 2473, 22607, 6661, 328, 264, 815, 17986, 354, 1775, 623, 11583, 6025, 266, 327, 6661, 329, 1923, 2473, 22607, 6661, 328, 264, 623, 11583, 22607, 6661, 328, 264, 815, 17986, 354, 1775, 25104, 373, 795, 2485, 372, 1775, 329, 554, 623, 11583, 22607, 6661, 328, 264, 1341, 554, 263, 272, 268, 17986, 354, 1775, 25104, 373, 795, 2485, 372, 795, 328, 3738, 623, 11583, 22607, 6661, 329, 2020, 9558, 819, 17831, 623, 11583, 6025, 266, 327, 6661, 329, 6661, 17986, 354, 1775, 623, 11583, 6025, 266, 327, 6661, 329, 543, 2473, 22607, 6661, 328, 264, 1341, 630, 272, 268, 17986, 354, 737, 25104, 373, 795, 2485, 372, 476, 1731, 3738, 623, 11583, 22607, 6661, 329, 264, 623, 6025, 6661, 314, 303, 11583, 6025, 6661, 271, 264, 623, 11583, 6025, 6661, 272, 264, 623, 11583, 6025, 6661, 273, 264, 907, 316, 623, 6025, 266, 327, 264, 476, 26528, 623, 6025, 264, 295, 670, 284, 296, 266, 327, 304, 1627, 1775, 329, 815, 2485, 372, 1775, 329, 1627, 795, 329, 815, 476, 272, 268, 17986, 354, 1775, 25104, 373, 795, 2485, 372, 795, 328, 692, 21982, 7182, 623, 6025, 266, 327, 264, 476, 26528, 623, 6025, 264, 295, 670, 284, 296, 266, 327, 304, 623, 6025, 266, 327, 264, 476, 26528, 623, 6025, 7565, 296, 266, 327, 304, 6661, 303, 6025, 11924, 327, 303, 6025, 264, 304, 630, 303, 6025, 266, 327, 9984, 303, 6025, 4297, 270, 327, 476, 26528, 623, 6025, 264, 304, 546, 7933, 339, 623, 6025, 264, 815, 623, 6025, 264, 304, 623, 6025, 6661, 303, 263, 271, 264, 10339, 263, 304, 339, 2020, 296, 337, 516, 3027, 2225, 2473, 568, 9048, 3027, 1043, 950, 2829, 616, 20102, 3914, 762, 269, 2473, 568, 9048, 3027, 1043, 476, 858, 585, 1169, 1775, 25814, 476, 273, 2473, 972, 568, 513, 5311, 2715, 328, 263, 272, 1070, 328, 263, 273, 1070, 907, 267, 296, 18217, 264, 476, 273, 2473, 348, 971, 602, 1775, 263, 272, 6661, 328, 1775, 18217, 6661, 329, 543, 2485, 372, 1775, 17347, 1070, 328, 17347, 266, 272, 264, 3436, 476, 271, 585, 1169, 737, 476, 273, 476, 272, 267, 907, 267, 301, 268, 272, 692, 13434, 584, 5270, 27539, 2473, 6025, 562, 910, 3738, 284, 329, 543, 2473 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1070, 14479, 547, 824, 6082, 267, 1299, 786, 948, 2708, 519, 7145, 540, 519, 595, 2975, 296, 1982, 1299, 519, 4478, 2950, 5571, 5726, 3646, 563, 1692, 5046, 814, 4299, 634, 25725, 11094, 5358, 454, 763, 1982, 729, 3710, 1472, 513, 6485, 24397, 2203, 602, 16941, 2390, 4747, 689, 18246, 13538, 267, 29979, 676, 519, 6532, 779, 8227, 6004, 27950, 717, 578, 4471, 4149, 19431, 547, 2508, 519, 5726, 960, 269, 1306, 519, 5046, 268, 866, 6855, 11200, 539, 519, 1764, 609, 8473, 9993, 1299, 9376, 23957, 941, 3168, 1713, 269, 2060, 519, 2530, 540, 7616, 689, 3486, 13538, 1299, 519, 2951, 9993, 267, 519, 10195, 941, 6849, 3275, 540, 796, 31695, 1299, 796, 3000, 527, 1819, 1093, 2286, 540, 21224, 16015, 267, 741, 5798, 267, 1299, 519, 2009, 13864, 540, 519, 6131, 2319, 540, 678, 13377, 945, 723, 585, 936, 476, 275, 1296, 1185, 5249, 865, 24091, 7863, 873, 563, 2005, 729, 713, 14488, 602, 4951, 971, 11428, 1299, 2648, 585, 891, 16015, 267, 607, 634, 11094, 681, 9734, 12243, 729, 26772, 1299, 941, 8348, 547, 2097, 1394, 585, 519, 4005, 547, 2149, 519, 16015, 1256, 1510, 2628, 269, 24664, 1176, 2614, 7482, 547, 3382, 930, 540, 519, 3790, 267, 729, 6659, 609, 7064, 547, 2101, 13384, 832, 585, 519, 4005, 1107, 7256, 2701, 23311, 1299, 623, 261, 302, 267, 2059, 609, 1367, 267, 538, 28029, 787, 13384, 832, 4721, 1299, 14828, 1299, 4847, 519, 476, 736, 270, 2641, 4005, 547, 2196, 799, 4951, 9735, 2164, 269, 630, 2791, 666, 1118, 513, 3017, 585, 519, 4947, 476, 1708, 272, 4005, 3877, 2630, 1916, 1708, 271, 270, 2641, 17897, 2164, 454, 763, 681, 13377, 28562, 476, 15686, 16015, 267, 882, 11343, 476, 15171, 804, 583, 2583, 1299, 5950, 476, 1724, 267, 6858, 273, 24011, 13530, 547, 519, 3552, 269, 630, 763, 1297, 540, 5798, 9788, 538, 1142, 804, 8553, 2039, 689, 607, 1970, 607, 476, 2004, 547, 607, 1164, 607, 476, 13136, 5798, 1916, 290, 2975, 296, 6707, 5950, 476, 25834, 2022, 268, 1002, 577, 13530, 1310, 3927, 11222, 22626, 873, 538, 519, 562, 584, 8124, 563, 763, 554, 10248, 1299, 11944, 1967, 3928, 540, 741, 882, 11343, 804, 583, 2583, 3812, 606, 3328, 554, 10248, 1299, 11944, 1967, 2557, 540, 476, 11152, 260, 799, 538, 6476, 547, 519, 1967, 3928, 540, 824, 887, 758, 7685, 1472, 519, 1158, 729, 1360, 9621, 563, 2304, 4277, 1267, 729, 1239, 4015, 593, 513, 17761, 802, 321, 650, 14854, 602, 1185, 1044, 28562, 538, 5245, 779, 3213, 558, 2041, 24035, 538, 519, 1215, 1157, 6828, 267, 538, 476, 1001, 278, 267, 17923, 519, 25872, 540, 938, 12084, 1299, 14854, 2551, 602, 568, 3838, 609, 5245, 1299, 7654, 824, 6082, 563, 5194, 2318, 1267, 729, 513, 1713, 5786, 540, 519, 1651, 573, 1878, 540, 1093, 2286, 540, 16015, 1299, 5798, 689, 519, 10195, 269, 901, 729, 519, 1101, 4005, 602, 519, 4527, 540, 11439, 3354, 22651, 689, 4563, 4210, 534, 25255, 10483, 519, 11094, 678, 13377, 593, 741, 3781, 569, 29862, 338, 269, 11109, 519, 3544, 948, 4847, 1930, 5188, 267, 2813, 4656, 1299, 2069, 267, 4847, 519, 2262, 547, 3262, 602, 713, 729, 513, 3978, 5726, 4674, 799, 729, 1373, 24451, 269, 901, 5921, 4642, 1651, 573, 1878, 689, 5412, 476, 1708, 271, 2394, 519, 1439, 540, 519, 4005, 538, 5988, 476, 1708, 272, 563, 1432, 666, 596, 798, 547, 948, 888, 8601, 519, 1967, 267, 519, 595, 2975, 296, 1299, 922, 681, 13377, 616, 5185, 609, 1896, 7687, 269, 634, 1297, 540, 678, 13377, 267, 2949, 7616, 1299, 519, 7041, 540, 21224, 2127, 538, 519, 3275, 18631, 519, 4005, 630, 8421, 8851, 3092, 4700, 2115, 547, 2333, 799, 786, 782, 1291, 547, 519, 1732, 4027, 540, 513, 17866, 7286, 1604, 563, 8620, 4656, 676, 4687, 741, 1650, 593, 1514, 2923, 7711, 290, 2975, 296, 7272, 978, 1299, 952, 596, 666, 1118, 513, 21856, 2221, 547, 2327, 519, 681, 13377, 616, 14102, 585, 519, 4947, 476, 1708, 272, 270, 476, 2420, 4005, 2336, 10666, 519, 8191, 281, 6833, 787, 8055, 814, 1044, 513, 4685, 14357, 585, 936, 476, 1240, 1296, 1299, 568, 513, 13730, 12167, 585, 7286, 5726, 563, 2690, 811, 827, 11362, 14466, 7699, 1715, 19892, 0, 3519, 3200, 1257, 1063, 26627, 27664, 267, 27608, 267, 2140, 2013, 267, 543, 824, 12043, 563, 2791, 666, 1689, 519, 2013, 2511, 540, 519, 2854, 1543, 689, 2539, 2013, 547, 5580, 2013, 563, 2005, 2488, 2789, 3681, 547, 31194, 267, 796, 32728, 1388, 1125, 267, 543, 2981, 519, 1257, 538, 1114, 13944, 2665, 563, 2414, 6460, 547, 2140, 2013, 912, 2691, 596, 2824, 513, 2013, 2511, 267, 621, 17838, 519, 1257, 543, 2982, 519, 3977, 563, 290, 2355, 20303, 666, 3362, 1689, 519, 14595, 2013, 543, 538, 557, 305, 572, 5022, 563, 2005, 3947, 596, 519, 1739, 3730, 3681, 912, 22479, 1388, 3278, 1101, 4484, 540, 1169, 4845, 543, 2242, 6967, 5022, 883, 1507, 1257, 563, 5472, 5022, 1310, 519, 1974, 786, 581, 5828, 883, 5580, 2013, 5022, 563, 1607, 568, 519, 4845, 2013, 454, 2252, 596, 1616, 547, 796, 32728, 1388, 1125, 782, 519, 5022, 267, 713, 2539, 2013, 20303, 786, 1689, 873, 547, 2539, 2013, 5022, 563, 303, 4292, 519, 1257, 596, 1616, 547, 6460, 547, 27608, 883, 519, 3403, 4216, 543, 2824, 519, 968, 299, 1077, 8865, 892, 4781, 563, 10472, 568, 519, 27608, 454, 763, 5580, 2013, 20303, 2242, 782, 519, 2854, 5022, 883, 1698, 8558, 563, 2005, 786, 1118, 782, 519, 2539, 2013, 5022, 883, 519, 26627, 27664, 1106, 563, 8025, 3041, 4959, 5990, 772, 13048, 2207, 595, 17955, 454, 763, 3854, 1242, 2013, 20303, 17838, 519, 4358, 4484, 540, 1169, 2262, 883, 519, 3854, 1106, 543, 3762, 519, 6967, 5022, 538, 519, 2539, 2013, 563, 1607, 1772, 589, 13317, 1242, 8865, 454, 763, 20367, 2013, 20303, 2488, 596, 609, 513, 4484, 2511, 602, 17176, 1063, 3854, 543, 2539, 30924, 5022, 563, 2005, 786, 3132, 5580, 2013, 543, 2539, 2013, 5022, 538, 513, 26882, 540, 513, 9416, 563, 339, 17098, 306, 1772, 513, 301, 513, 299, 339, 11293, 27845, 307, 328, 301, 326, 524, 2026, 292, 454, 1607, 4781, 568, 1655, 585, 1346, 945, 991, 513, 1259, 547, 6430, 593, 10643, 563, 2005, 11974, 547, 1118, 2386, 519, 2953, 5022, 616, 3854, 1242, 538, 519, 2140, 563, 1607, 568, 513, 7170, 8865, 454, 763, 11201, 2013, 20303, 2242, 5022, 689, 5580, 547, 2539, 2013, 563, 13911, 707, 1257, 883, 519, 3403, 4216, 543, 621, 786, 14678, 2285, 596, 3977, 538, 606, 11201, 2013, 563, 339, 17098, 306, 1772, 513, 301, 1045, 292, 3464, 292, 16629, 292, 454, 6624, 2262, 11049, 3301, 3085, 1406, 1683, 519, 2013, 14291, 4183, 563, 5278, 540, 519, 1292, 2640, 540, 1210, 519, 6460, 13826, 2228, 616, 281, 0, 2419, 3271, 4451, 339, 636, 635, 657, 636, 267, 2356, 1572, 17178, 2030, 855, 849, 1634, 607, 17178, 17488, 344, 267, 26781, 2030, 267, 543, 18911, 543, 17944, 568, 513, 2249, 540, 21064, 15496, 2030, 20193, 568, 5065, 547, 9341, 543, 7013, 4000, 267, 855, 814, 1831, 2067, 1242, 538, 824, 2694, 540, 519, 1158, 267, 1519, 7262, 5245, 269, 25914, 4451, 339, 636, 635, 657, 636, 568, 2653, 547, 1332, 607, 513, 2777, 8690, 282, 15254, 20672, 730, 3029, 616, 519, 1034, 2442, 30064, 12518, 267, 610, 25914, 4451, 339, 636, 267, 616, 2653, 547, 1332, 2777, 17852, 607, 1134, 607, 1373, 3551, 547, 1416, 585, 269, 769, 1249, 789, 2811, 5732, 835, 540, 519, 15864, 543, 14785, 11255, 2371, 596, 666, 1332, 538, 707, 1753, 269, 2290, 540, 519, 1034, 4277, 2798, 540, 519, 30064, 7233, 568, 922, 2702, 547, 6385, 29608, 3294, 267, 998, 721, 267, 1004, 1548, 1772, 513, 30064, 7233, 286, 30064, 2030, 630, 2419, 3271, 4451, 339, 636, 635, 657, 636, 1070, 849, 1572, 20987, 2030, 267, 568, 513, 21064, 15496, 2030, 5065, 547, 3162, 4000, 269, 30064, 2371, 723, 1279, 267, 6094, 3762, 1765, 18485, 4396, 23469, 543, 15254, 20672, 730, 11652, 1332, 547, 581, 835, 547, 1079, 3952, 7381, 589, 17178, 2030, 15055, 6505, 267, 9940, 1769, 269, 3680, 1463, 7943, 607, 621, 814, 519, 1761, 547, 1085, 25403, 519, 3762, 269, 30064, 2371, 786, 1332, 538, 1970, 1769, 855, 789, 786, 1332, 7444, 543, 949, 711, 3132, 2030, 7410, 269, 30064, 2371, 4782, 952, 741, 3037, 1743, 625, 856, 513, 3787, 1063, 14450, 454, 763, 1034, 1455, 267, 28033, 267, 21064, 17178, 2030, 3099, 568, 519, 25914, 4451, 339, 636, 1290, 657, 636, 966, 8636, 23628, 269, 634, 3762, 540, 713, 1826, 540, 17178, 2030, 616, 5420, 3039, 267, 5594, 1225, 1194, 267, 543, 723, 27598, 543, 3376, 7299, 26145, 20193, 666, 3914, 513, 3259, 543, 8700, 540, 476, 272, 268, 273, 3952, 30064, 2371, 630, 18608, 4451, 339, 636, 635, 657, 636, 264, 949, 849, 581, 1572, 5794, 30350, 2371, 269, 30064, 2371, 1106, 2895, 532, 804, 7927, 540, 6371, 6438, 3762, 543, 1205, 741, 1455, 4408, 689, 519, 4816, 2030, 7410, 602, 1106, 593, 741, 3880, 1782, 11710, 454, 8967, 3187, 7233, 630, 2419, 3271, 4451, 339, 636, 635, 657, 636, 264, 910, 5651, 874, 1670, 15689, 269, 30064, 7233, 568, 606, 28033, 267, 21064, 2030, 609, 16321, 748, 5072, 543, 8913, 1111, 5920, 269, 2311, 4463, 543, 8006, 621, 1281, 711, 9765, 476, 2004, 4699, 267, 855, 621, 666, 581, 3262, 593, 519, 2666, 543, 3382, 513, 9645, 1858, 269, 4706, 16714, 568, 540, 5420, 5860, 267, 543, 814, 513, 5386, 9403, 634, 30064, 2030, 568, 1851, 519, 1034, 22537, 2777, 8690, 543, 1360, 2653, 547, 1332, 269, 589, 11419, 995, 2030, 602, 2306, 513, 3948, 9170, 31539, 513, 3349, 9008, 547, 513, 25136, 267, 610, 609, 922, 17681, 2895, 532, 3762, 607, 513, 16304, 2030, 269, 634, 30064, 7233, 568, 849, 1634, 585, 922, 16854, 2011, 1625, 4328, 7907, 267, 1818, 621, 513, 2635, 1840, 547, 707, 1753, 607, 1134, 30064, 2030, 568, 513, 1455, 2012, 585, 1896, 2371, 543, 949, 3277, 547, 281, 25914, 4451, 339, 636, 635, 657, 636, 267, 519, 4122, 16916, 2777, 8690, 269, 29017, 604, 4048, 320, 9206, 15362, 529, 267, 849, 1634, 607, 627, 328, 680, 1662, 1094, 343, 604, 14141, 269, 7581, 727, 2249, 269, 25914, 4451, 339, 636, 635, 657, 636, 269, 29017, 604, 4048, 320, 9206, 15362, 529, 269, 7581, 727, 634, 2030, 568, 1634, 585, 922, 2702, 547, 2973, 2011, 543, 4894, 13802, 689, 519, 1604, 269, 30064, 2371, 849, 2333, 11195, 538, 707, 1753, 543, 849, 1039, 513, 2603, 540, 1272, 543, 2681, 547, 1022, 4055, 269, 30064, 2371, 616, 1434, 585, 2011, 22729, 267, 9427, 11255, 23197, 14107, 971, 607, 6101, 24957, 267, 22904, 2940, 267, 543, 824, 6757, 32669, 454, 2252, 596, 1378, 513, 9921, 17178, 2030, 267, 596, 4312, 4440, 8068, 1018, 713, 2249, 568, 1134, 8153, 585, 281, 838, 573, 699, 10577, 256, 1452, 2030, 7410, 267, 799, 3880, 548, 689, 519, 3993, 2030, 899, 20151, 689, 513, 1357, 267, 666, 581, 1031, 547, 3362, 1332, 513, 2898, 1007, 2030, 269, 634, 3993, 17178, 10416, 1281, 519, 5354, 540, 519, 18640, 960, 585, 596, 30064, 2030, 267, 630, 2419, 3271, 4451, 339, 636, 635, 657, 636, 1070, 3979, 2030, 540, 519, 607, 32651, 1920, 630, 2026, 1706, 698, 19687, 264, 4122, 6738, 607, 606, 25798, 2777, 8690, 269, 634, 1034, 2442, 8677, 4183, 1279, 6371, 344, 3039, 7146, 22554, 3613, 686, 6244, 3762, 269, 20540, 1227, 513, 8768, 6565, 19674, 267, 543, 6263, 3043, 5810, 1765, 2254, 2141, 3812, 1765, 732, 8719, 676, 1762, 2030, 7410, 267, 799, 666, 1287, 581, 1033, 3737, 543, 12082, 634, 30064, 2030, 9428, 1279, 11710, 1317, 540, 1079, 4128, 269, 634, 1101, 2601, 568, 602, 621, 2115, 547, 3132, 1007, 9002, 593, 891, 530, 597, 344, 11710, 269, 1879, 519, 2030, 4991, 9921, 267, 621, 5956, 547, 3132, 4996, 1186, 593, 922, 11710, 269, 1452, 4996, 1186, 786, 3136, 547, 581, 593, 519, 11710, 2394, 789, 1332, 4625, 4855, 17178, 2030, 6006, 2592, 538, 18074, 543, 6634, 540, 824, 28370, 6954, 6006, 6337, 267, 12383, 543, 10321, 538, 519, 1744, 13616, 18450, 4015, 269, 23897, 1343, 540, 1007, 267, 1164, 7779, 5961, 3773, 1169, 1554, 476, 273, 267, 23841, 269, 1269, 1724, 269, 4200, 269, 1269, 1724, 269, 1547, 476, 4200, 269, 901, 9258, 15254, 20672, 730, 17178, 2030, 2934, 476, 272, 20878, 2647, 3762, 602, 666, 1332, 909, 547, 476, 1626, 2987, 2583, 1279, 269, 901, 2030, 21128, 538, 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 ]
[ 15236, 267, 6821, 267, 851, 1431, 267, 3268, 267, 3092, 269, 634, 645, 719, 514, 1876, 267, 5293, 538, 476, 1220, 280, 267, 1202, 1235, 593, 519, 2035, 540, 12699, 11623, 269, 901, 608, 11079, 519, 1858, 13026, 676, 2545, 935, 625, 267, 31619, 806, 267, 18736, 5624, 267, 3092, 269, 901, 3810, 14931, 9819, 568, 1303, 27434, 547, 606, 4274, 267, 1034, 540, 519, 942, 547, 513, 1483, 10040, 10368, 3318, 269, 1452, 4031, 2057, 2127, 2016, 834, 514, 513, 695, 8014, 257, 1259, 676, 796, 2675, 14442, 592, 748, 28867, 3581, 267, 543, 1450, 5730, 16198, 689, 835, 1753, 547, 1776, 563, 1692, 547, 6582, 513, 570, 275, 538, 897, 6327, 888, 305, 550, 532, 513, 570, 275, 547, 1896, 791, 4680, 513, 1906, 3652, 269, 32655, 22098, 568, 711, 513, 1279, 267, 9602, 5757, 267, 593, 519, 14669, 269, 634, 3652, 540, 7127, 1590, 581, 1305, 547, 2057, 24492, 338, 269, 898, 3085, 1405, 3280, 3579, 693, 1101, 16145, 267, 855, 513, 1906, 3652, 4688, 513, 2603, 540, 2104, 13253, 563, 2252, 596, 10519, 513, 570, 275, 538, 3838, 22098, 267, 621, 568, 1732, 547, 723, 1152, 1614, 887, 2174, 919, 267, 1142, 609, 513, 4055, 269, 634, 1292, 4055, 1590, 2611, 513, 1455, 4055, 543, 711, 581, 13026, 676, 835, 540, 519, 4557, 1218, 607, 513, 23103, 267, 2523, 952, 713, 4055, 568, 1031, 676, 519, 824, 4557, 1218, 269, 21041, 568, 513, 2556, 3693, 585, 1434, 2713, 269, 596, 11613, 1590, 8190, 621, 267, 2523, 585, 519, 1279, 2165, 563, 2005, 568, 1898, 547, 1832, 513, 4055, 538, 799, 596, 666, 20586, 3054, 269, 589, 1032, 540, 1353, 5932, 513, 2603, 540, 2053, 950, 596, 991, 547, 13404, 267, 952, 1152, 547, 960, 269, 2659, 5604, 1858, 1058, 4061, 581, 538, 707, 23103, 2864, 982, 538, 513, 1455, 4055, 267, 2523, 519, 2713, 4055, 1141, 972, 786, 581, 1082, 15102, 563, 8448, 1455, 11623, 267, 971, 607, 519, 10051, 267, 16003, 543, 19880, 267, 1590, 849, 581, 1641, 547, 3652, 269, 4014, 891, 949, 581, 512, 659, 527, 267, 621, 568, 2141, 1655, 547, 1533, 873, 281, 2141, 2322, 2476, 707, 1919, 543, 4734, 519, 1747, 2973, 1310, 596, 723, 1044, 972, 269, 1452, 616, 519, 4025, 1141, 519, 6574, 13253, 8451, 269, 1411, 1058, 849, 2057, 25412, 707, 23732, 538, 1455, 11623, 630, 684, 1652, 596, 723, 519, 796, 637, 5703, 6876, 540, 519, 824, 6105, 1916, 2690, 519, 1964, 267, 621, 3587, 513, 12257, 547, 2671, 519, 3937, 281, 530, 328, 30235, 267, 8613, 267, 21684, 1141, 596, 4558, 707, 2835, 269, 7991, 1272, 267, 1256, 1507, 267, 3788, 513, 14785, 1995, 269, 32655, 22098, 568, 513, 1259, 540, 1272, 602, 568, 5051, 4947, 1394, 883, 6752, 538, 519, 2875, 1158, 563, 1692, 547, 1265, 570, 275, 22098, 609, 2289, 777, 691, 888, 2691, 596, 616, 3168, 585, 22098, 267, 2289, 777, 691, 2337, 596, 1265, 606, 19887, 538, 519, 2749, 1141, 596, 616, 2469, 547, 3136, 707, 2090, 269, 3371, 616, 2185, 1434, 4128, 547, 6443, 2289, 777, 691, 912, 268, 589, 1360, 1804, 1297, 540, 22099, 585, 22098, 585, 10519, 538, 782, 519, 4872, 540, 5333, 585, 1053, 269, 1703, 616, 801, 3930, 267, 6306, 906, 570, 272, 267, 570, 272, 20312, 267, 570, 273, 267, 570, 274, 267, 570, 275, 267, 3092, 1421, 7677, 1639, 6306, 906, 267, 5918, 14658, 525, 3267, 634, 22099, 616, 540, 1576, 20240, 269, 1411, 849, 723, 519, 4316, 547, 12303, 3643, 519, 22581, 602, 1719, 596, 1315, 454, 268, 6034, 3346, 609, 519, 28867, 867, 281, 938, 8216, 20261, 630, 528, 10004, 264, 3498, 2636, 596, 547, 598, 2091, 609, 519, 28867, 867, 267, 1510, 606, 10827, 776, 269, 1411, 3976, 723, 267, 1510, 606, 10827, 776, 267, 519, 7872, 540, 6998, 782, 519, 2055, 596, 1616, 827, 519, 19887, 630, 331, 6327, 267, 1686, 267, 2783, 267, 3092, 4700, 543, 540, 1818, 606, 13393, 585, 513, 3643, 563, 268, 634, 2289, 777, 691, 2871, 5875, 2465, 281, 596, 1100, 3476, 991, 547, 1413, 585, 513, 6841, 528, 267, 2289, 777, 691, 3217, 1416, 540, 3388, 269, 1411, 4324, 689, 519, 2289, 777, 691, 10018, 267, 799, 1797, 602, 519, 1447, 528, 786, 917, 602, 596, 616, 513, 6325, 4557, 656, 543, 602, 596, 4324, 689, 513, 6444, 16005, 2094, 621, 2501, 689, 513, 3978, 3919, 563, 268, 8081, 585, 519, 8653, 540, 707, 23934, 281, 2899, 8704, 538, 707, 19887, 267, 596, 666, 1289, 593, 2289, 777, 691, 693, 1022, 942, 547, 8207, 1585, 1507, 23934, 2042, 269, 3776, 7459, 786, 1450, 596, 547, 1863, 3054, 689, 891, 31484, 956, 543, 25058, 3054, 7357, 547, 707, 2090, 543, 707, 2875, 1272, 563, 6597, 777, 691, 568, 519, 10018, 540, 16990, 22098, 543, 513, 31484, 548, 6954, 3251, 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 ]
[ 25683, 543, 28116, 24306, 454, 6224, 22790, 454, 278, 454, 26773, 344, 1107, 10548, 534, 340, 13568, 454, 10831, 454, 15094, 280, 568, 519, 10545, 10434, 344, 1700, 454, 305, 16120, 340, 13568, 7089, 269, 1703, 454, 732, 606, 28222, 1082, 971, 454, 11133, 1499, 269, 23225, 616, 476, 25148, 275, 454, 263, 273, 267, 476, 1626, 282, 476, 280, 267, 476, 1428, 1070, 476, 15946, 3953, 630, 1240, 267, 476, 736, 3248, 273, 267, 476, 2190, 1070, 6744, 621, 609, 519, 454, 11133, 1499, 2016, 538, 519, 23049, 563, 8993, 999, 799, 723, 454, 274, 1673, 574, 5014, 616, 1634, 607, 454, 338, 13521, 5515, 563, 1001, 280, 268, 736, 454, 8099, 476, 13878, 30388, 454, 763, 2338, 476, 278, 3066, 267, 476, 1911, 271, 267, 476, 15094, 279, 454, 732, 849, 3501, 18695, 563, 2171, 4063, 602, 476, 272, 815, 476, 272, 6398, 476, 272, 6398, 476, 272, 815, 476, 272, 454, 274, 454, 282, 476, 476, 279, 815, 476, 273, 6398, 476, 273, 6398, 476, 273, 815, 476, 273, 454, 274, 454, 282, 476, 2767, 815, 476, 274, 6398, 476, 274, 6398, 476, 274, 815, 476, 274, 454, 274, 454, 563, 7712, 476, 276, 454, 274, 454, 284, 476, 276, 6398, 476, 276, 6398, 476, 276, 815, 476, 10219, 267, 4061, 476, 10219, 568, 513, 13306, 1297, 563, 3674, 476, 280, 513, 13306, 1297, 286, 3143, 267, 607, 476, 280, 815, 476, 274, 6398, 476, 274, 543, 972, 568, 1100, 2067, 1297, 799, 16611, 454, 2421, 2921, 1614, 2053, 3947, 476, 280, 269, 1284, 666, 1294, 849, 602, 476, 273, 6398, 476, 273, 6398, 476, 273, 815, 476, 279, 543, 476, 274, 6398, 476, 274, 6398, 476, 274, 815, 476, 2767, 269, 901, 454, 3333, 3298, 602, 476, 280, 568, 711, 513, 3501, 13306, 563, 763, 1739, 616, 519, 18695, 540, 2338, 689, 476, 272, 547, 476, 1015, 563, 8368, 476, 272, 454, 10831, 28116, 454, 272, 476, 272, 454, 274, 454, 284, 476, 272, 454, 273, 476, 273, 454, 274, 454, 284, 476, 279, 454, 274, 476, 274, 454, 274, 454, 284, 476, 2767, 454, 275, 476, 275, 454, 274, 454, 284, 476, 5038, 454, 276, 476, 276, 454, 274, 454, 284, 12223, 454, 277, 476, 277, 454, 274, 454, 284, 12223, 454, 278, 476, 278, 454, 274, 454, 284, 12223, 454, 279, 476, 279, 454, 274, 454, 284, 12223, 454, 280, 476, 280, 454, 274, 454, 284, 12223, 454, 1015, 476, 1015, 454, 274, 454, 284, 12223, 454, 2467, 616, 1152, 4557, 3501, 18695, 689, 476, 272, 547, 476, 1911, 271, 269, 630, 13425, 713, 1040, 1215, 1082, 3501, 454, 322, 25683, 616, 972, 689, 476, 272, 547, 476, 1911, 888, 25332, 2925, 519, 18695, 540, 1256, 2338, 269, 3657, 789, 782, 1256, 286, 1548, 666, 596, 2161, 827, 519, 454, 322, 25683, 540, 9642, 2338, 888, 16729, 616, 519, 18695, 540, 519, 2338, 689, 476, 1556, 547, 476, 736, 563, 8368, 476, 273, 454, 10831, 28116, 454, 1556, 476, 15836, 272, 454, 1321, 476, 15094, 279, 454, 1724, 476, 25546, 278, 454, 1691, 476, 28638, 275, 454, 1428, 476, 29876, 276, 454, 1626, 476, 30156, 277, 454, 1704, 476, 5392, 272, 274, 454, 1240, 476, 6812, 274, 273, 454, 866, 476, 277, 5952, 280, 454, 736, 476, 8517, 271, 454, 2171, 616, 9642, 865, 616, 454, 712, 18695, 454, 2171, 616, 1256, 267, 865, 454, 732, 938, 18695, 454, 28415, 621, 563, 1001, 280, 268, 736, 454, 290, 18510, 2464, 6730, 595, 18510, 292, 21614, 302, 4811, 567, 476, 9340, 454, 15045, 312, 8946, 2464, 292, 454, 26421, 6305, 3815, 454, 1952, 8986, 1614, 2053, 454, 514, 922, 18695, 454, 15045, 312, 8946, 2464, 292, 454, 13706, 513, 1906, 2338, 2348, 476, 272, 607, 519, 835, 779, 7857, 630, 528, 1770, 779, 1040, 4855, 519, 13306, 540, 1142, 454, 1993, 873, 269, 1548, 666, 596, 2161, 827, 519, 835, 779, 7857, 540, 519, 13306, 540, 513, 1297, 2348, 476, 272, 607, 519, 454, 821, 685, 521, 7857, 888, 20118, 267, 2263, 519, 835, 779, 7857, 540, 18695, 540, 2338, 10678, 538, 476, 273, 267, 476, 274, 267, 476, 275, 267, 3267, 2073, 3092, 563, 8340, 519, 835, 779, 7857, 540, 519, 13306, 540, 1142, 540, 519, 1739, 2338, 563, 9217, 264, 476, 18357, 272, 630, 4512, 264, 476, 31229, 279, 630, 13839, 264, 476, 14983, 630, 643, 264, 476, 1911, 276, 454, 17635, 264, 476, 9083, 275, 630, 12858, 264, 476, 6507, 630, 341, 4512, 264, 476, 2004, 273, 273, 630, 341, 13839, 264, 476, 7871, 454, 278, 269, 273, 269, 272, 476, 2368, 4277, 3270, 454, 25332, 2925, 519, 1739, 4806, 540, 18304, 540, 9642, 2338, 563, 272, 815, 476, 272, 815, 476, 272, 454, 274, 454, 274, 1341, 476, 276, 815, 476, 279, 815, 476, 273, 454, 274, 454, 278, 1341, 476, 280, 1341, 476, 1556, 815, 476, 2767, 815, 476, 274, 454, 274, 454, 1724, 1341, 476, 1428, 1341, 476, 1704, 1341, 476, 866, 815, 476, 5038, 815, 476, 275, 454, 274, 454, 2641, 1341, 476, 2537, 1341, 476, 1839, 1341, 476, 2767, 1341, 476, 3066, 815, 476, 10219, 815, 476, 276, 454, 274, 454, 3674, 621, 711, 4277, 286, 1215, 1082, 15654, 9642, 2338, 786, 581, 2877, 547, 3489, 454, 1492, 2040, 607, 476, 1015, 454, 274, 454, 888, 2750, 12304, 519, 1739, 2338, 607, 519, 2040, 540, 9642, 2338, 1210, 519, 1657, 4806, 888, 5416, 264, 476, 277, 454, 274, 454, 6357, 264, 476, 279, 454, 274, 454, 6262, 264, 476, 278, 454, 274, 454, 13706, 519, 1739, 4806, 563, 273, 454, 274, 454, 1700, 476, 272, 454, 274, 454, 284, 476, 272, 1341, 476, 273, 6398, 476, 272, 6398, 476, 274, 454, 274, 454, 274, 454, 1700, 476, 273, 454, 274, 454, 284, 476, 272, 1341, 476, 274, 6398, 476, 273, 6398, 476, 274, 454, 275, 454, 274, 454, 1700, 476, 274, 454, 274, 454, 284, 476, 272, 1341, 476, 275, 6398, 476, 274, 6398, 476, 274, 454, 8794, 519, 1657, 4806, 267, 1265, 519, 1871, 540, 519, 1739, 563, 9217, 264, 476, 278, 454, 274, 454, 1700, 476, 277, 454, 274, 454, 23870, 264, 476, 1321, 454, 274, 454, 1700, 476, 1556, 454, 274, 454, 31702, 264, 476, 736, 454, 274, 454, 1700, 476, 866, 454, 274, 454, 263, 643, 264, 476, 7906, 454, 274, 454, 1700, 476, 2004, 454, 274, 454, 273, 269, 10699, 525, 543, 741, 6305, 2188, 454, 13706, 519, 1739, 6305, 3815, 5314, 540, 519, 2338, 543, 741, 18695, 563, 28269, 3815, 5314, 11788, 3815, 5314, 454, 1993, 513, 1297, 540, 922, 13306, 454, 275, 815, 476, 273, 6398, 476, 273, 476, 275, 454, 274, 454, 284, 476, 5038, 815, 476, 273, 6398, 476, 273, 6398, 476, 273, 6398, 476, 273, 6398, 476, 273, 6398, 476, 273, 815, 476, 273, 454, 274, 454, 9943, 476, 273, 454, 274, 454, 277, 815, 476, 273, 6398, 476, 274, 476, 277, 454, 274, 454, 284, 476, 21327, 815, 476, 273, 6398, 476, 273, 6398, 476, 273, 6398, 476, 274, 6398, 476, 274, 6398, 476, 274, 815, 476, 273, 454, 274, 454, 9943, 476, 274, 454, 274, 454, 1428, 815, 476, 274, 6398, 476, 276, 476, 1428, 454, 274, 454, 284, 476, 29876, 276, 815, 476, 274, 6398, 476, 274, 6398, 476, 274, 6398, 476, 276, 6398, 476, 276, 6398, 476, 276, 815, 476, 274, 454, 274, 454, 9943, 476, 276, 454, 274, 454, 1321, 815, 476, 273, 6398, 476, 273, 6398, 476, 274, 476, 1321, 454, 274, 454, 284, 476, 15094, 279, 815, 476, 273, 6398, 476, 273, 6398, 476, 273, 6398, 476, 273, 6398, 476, 273, 6398, 476, 273, 6398, 476, 274, 6398, 476, 274, 6398, 476, 274, 454, 284, 476, 273, 454, 274, 454, 9943, 476, 273, 454, 274, 454, 9943, 476, 274, 454, 274, 454, 1001, 280, 268, 736, 454, 17273, 476, 275, 692, 290, 18510, 2464, 6730, 595, 18510, 292, 21614, 302, 4811, 476, 476, 11820, 454, 278, 269, 272, 476, 4985, 454, 1607, 568, 513, 1650, 827, 835, 540, 476, 3127, 779, 1390, 6310, 21184, 525, 267, 590, 269, 10548, 534, 340, 13568, 269, 4495, 454, 534, 1278, 4583, 22301, 4515, 269, 717, 1547, 295, 269, 10434, 344, 3357, 547, 3643, 1864, 538, 513, 3454, 328, 4171, 1297, 454, 13195, 476, 15094, 280, 269, 2755, 6158, 547, 10548, 534, 340, 13568, 267, 10434, 344, 4330, 713, 1297, 454, 2108, 320, 20585, 1297, 6100, 10548, 534, 340, 13568, 3533, 11329, 856, 602, 476, 15094, 280, 729, 8197, 454, 15517, 532, 269, 1261, 1767, 621, 568, 519, 10545, 476, 1297, 602, 666, 581, 6829, 454, 553, 513, 2040, 540, 1079, 18695, 538, 1079, 1114, 2081, 912, 15094, 280, 815, 476, 15094, 279, 1341, 476, 272, 815, 476, 1321, 454, 274, 454, 266, 476, 272, 454, 274, 454, 15094, 280, 815, 476, 1911, 271, 1341, 476, 278, 3066, 815, 476, 1015, 454, 274, 454, 266, 476, 280, 454, 274, 454, 15094, 280, 814, 2094, 1044, 1634, 607, 519, 10434, 344, 1107, 10548, 534, 340, 13568, 7089, 2676, 16838, 1498, 713, 4183, 540, 476, 15094, 280, 729, 1634, 811, 982, 476, 4968, 1296, 454, 29592, 10548, 534, 340, 13568, 563, 1692, 1705, 10548, 534, 340, 13568, 917, 713, 286, 4270, 267, 646, 6068, 2338, 269, 2353, 454, 10843, 1010, 1272, 267, 646, 4603, 539, 609, 2338, 269, 1261, 4440, 1336, 454, 11133, 1499, 602, 941, 6829, 607, 519, 2040, 540, 1079, 10945, 543, 2040, 540, 454, 18314, 18695, 849, 563, 2467, 616, 1082, 824, 4277, 3270, 540, 18695, 269, 2913, 721, 1451, 827, 18695, 267, 13306, 454, 23085, 543, 1082, 824, 4277, 5013, 1644, 547, 873, 563, 278, 269, 273, 476, 10699, 525, 454, 312, 522, 340, 917, 602, 519, 2262, 2048, 322, 4209, 685, 568, 1031, 538, 9511, 269, 589, 13306, 568, 454, 320, 4396, 4137, 799, 814, 782, 922, 5011, 3160, 269, 1215, 1082, 18695, 540, 454, 2515, 476, 272, 4699, 786, 1118, 513, 13306, 540, 2427, 476, 273, 4699, 888, 1692, 1082, 18695, 540, 2427, 476, 272, 4699, 786, 1118, 513, 13306, 540, 2427, 476, 274, 4699, 888, 13706, 519, 2338, 476, 272, 267, 476, 279, 267, 476, 2767, 267, 4429, 4322, 616, 1572, 3501, 18695, 610, 13306, 2338, 269, 2052, 596, 2161, 1946, 454, 16269, 616, 3957, 865, 286, 3962, 540, 873, 568, 5833, 950, 513, 1297, 568, 16611, 676, 454, 339, 1136, 621, 1614, 2053, 563, 290, 25683, 543, 28116, 24306, 454, 6224, 22790, 454, 278, 454, 26773, 344, 1107, 10548, 534, 340, 13568, 454, 10831, 454, 15094, 280, 568, 519, 10545, 10434, 344, 1700, 454, 305, 16120, 340, 13568, 7089, 269, 1703, 454, 732, 606, 28222, 1082, 971, 454, 11133, 1499, 269, 23225, 616, 476, 25148, 275, 454, 263, 273, 267, 476, 1626, 282, 476, 280, 267, 476, 1428, 1070, 476, 15946, 3953, 630, 1240, 267, 476, 736, 3248, 273, 267, 476, 2190, 1070, 6744, 621, 609, 519, 454, 11133, 1499, 2016, 538, 519, 23049, 563, 8993, 999, 799, 723, 454, 274, 1673, 574, 5014, 616, 1634, 607, 454, 338, 13521, 5515, 563, 1001, 280, 268, 736, 454, 8099, 476, 13878, 30388, 454, 763, 2338, 476, 278, 3066, 267, 476, 1911, 271, 267, 476, 15094, 279, 454, 732, 849, 3501, 18695, 563, 2171, 4063, 602, 476, 272, 815, 476, 272, 6398, 476, 272, 6398, 476, 272, 815, 476, 272, 454, 274, 454, 282, 476, 476, 279, 815, 476, 273, 6398, 476, 273, 6398, 476, 273, 815, 476, 273, 454, 274, 454, 282, 476, 2767, 815, 476, 274, 6398, 476, 274, 6398, 476, 274, 815, 476, 274, 454, 274, 454, 563, 7712, 476, 276, 454, 274, 454, 284, 476, 276, 6398, 476, 276, 6398, 476, 276, 815, 476, 10219, 267, 4061, 476, 10219, 568, 513, 13306, 1297, 563, 3674, 476, 280, 513, 13306, 1297, 286, 3143, 267, 607, 476, 280, 815, 476, 274, 6398, 476, 274, 543, 972, 568, 1100, 2067, 1297, 799, 16611, 454, 2421, 2921, 1614, 2053, 3947, 476, 280, 269, 1284, 666, 1294, 849, 602, 476, 273, 6398, 476, 273, 6398, 476, 273, 815, 476, 279, 543, 476, 274, 6398, 476, 274, 6398, 476, 274, 815, 476, 2767, 269, 901, 454, 3333, 3298, 602, 476, 280, 568, 711, 513, 3501, 13306, 563, 763, 1739, 616, 519, 18695, 540, 2338, 689, 476, 272, 547, 476, 1015, 563, 8368, 476, 272, 454, 10831, 28116, 454, 272, 476, 272, 454, 274, 454, 284, 476, 272, 454, 273, 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 ]
[ 18062, 2652, 476, 273, 912, 2018, 1582, 4318, 520, 4590, 1038, 8640, 18062, 2652, 476, 274, 912, 2018, 1582, 269, 16753, 4590, 1038, 8640, 18062, 2652, 476, 275, 912, 2018, 1582, 269, 2193, 22135, 4590, 1038, 8640, 18062, 2652, 476, 276, 912, 2018, 1582, 269, 1740, 4590, 1038, 3116, 912, 2018, 1582, 269, 2889, 322, 2858, 3729, 3890, 3097, 27030, 5035, 5600, 912, 8931, 825, 1219, 6449, 8181, 9191, 1345, 2187, 1038, 1582, 8807, 797, 815, 476, 1789, 454, 1038, 1582, 6230, 2292, 815, 476, 2412, 454, 1038, 1582, 6983, 520, 6958, 797, 815, 476, 271, 454, 1038, 1582, 6155, 7398, 815, 476, 271, 28329, 825, 1219, 6449, 1598, 9191, 1345, 2187, 1038, 2132, 535, 262, 15933, 281, 2715, 1345, 8807, 797, 9574, 3032, 25988, 281, 2715, 1345, 6983, 520, 6958, 797, 9574, 2724, 281, 2715, 1345, 6230, 2292, 9574, 13897, 281, 2715, 1345, 6155, 7398, 20467, 7055, 8931, 5035, 9697, 912, 8931, 825, 1219, 6449, 8181, 9191, 1345, 267, 28215, 2187, 1038, 1582, 8542, 1157, 4067, 815, 28215, 454, 1038, 1582, 269, 21459, 1145, 815, 476, 1428, 454, 1038, 1582, 269, 5264, 815, 7183, 22562, 825, 1219, 6449, 1598, 9191, 1345, 2187, 1038, 2132, 535, 262, 29272, 2715, 1345, 8542, 1157, 4067, 348, 281, 2407, 2715, 1345, 269, 21459, 1145, 20467, 7055, 8931, 825, 1219, 581, 6958, 895, 4311, 267, 2777, 2187, 1038, 1582, 269, 5264, 815, 2777, 454, 1038, 1582, 269, 21459, 1145, 6834, 476, 1015, 454, 1038, 1582, 269, 5264, 6983, 520, 6958, 797, 20699, 276, 454, 1038, 524, 2745, 6600, 262, 346, 1345, 8542, 1157, 4067, 348, 568, 1336, 269, 3299, 2681, 815, 1412, 13582, 5073, 13872, 825, 1219, 3032, 21223, 520, 4311, 2187, 1038, 1582, 269, 21459, 1145, 6834, 476, 736, 454, 1038, 1582, 269, 5264, 6983, 520, 6958, 797, 20699, 476, 1015, 454, 1038, 1820, 6600, 262, 346, 1345, 8542, 1157, 4067, 348, 22655, 269, 5073, 13872, 825, 1219, 3032, 5334, 2748, 4311, 2187, 1038, 1582, 269, 21459, 1145, 20699, 476, 1015, 454, 1038, 1820, 6600, 262, 346, 1345, 8542, 1157, 4067, 348, 3207, 338, 269, 5073, 13872, 825, 1219, 6861, 4311, 2187, 1038, 1582, 269, 21459, 1145, 20699, 1015, 454, 1038, 1582, 269, 5264, 6155, 7398, 6834, 736, 454, 1038, 1820, 6600, 262, 346, 1345, 8542, 1157, 4067, 348, 30001, 269, 5073, 13872, 825, 1219, 3032, 318, 5158, 4311, 2187, 1038, 952, 1582, 269, 21459, 1145, 2999, 271, 912, 2018, 524, 2745, 6600, 262, 346, 1345, 8542, 1157, 4067, 348, 568, 4666, 269, 3299, 2681, 8782, 1042, 5073, 2018, 2132, 454, 1038, 18062, 815, 28219, 842, 263, 272, 267, 277, 994, 1038, 952, 1582, 269, 21459, 1145, 2999, 476, 736, 912, 2018, 1582, 6983, 520, 21223, 520, 4590, 1038, 8640, 18062, 2652, 476, 272, 912, 2018, 1582, 6983, 520, 21223, 520, 4590, 1038, 8640, 18062, 2652, 476, 273, 610, 18062, 2652, 476, 276, 912, 2018, 1582, 6983, 520, 5334, 2748, 4590, 1038, 3116, 281, 3097, 2018, 1582, 6155, 652, 5797, 4590, 2018, 454, 3974, 1562, 815, 1496, 454, 825, 2494, 3488, 303, 23803, 30670, 3097, 825, 2494, 3488, 303, 4902, 262, 13211, 825, 2494, 3488, 4942, 4141, 2041, 262, 13211, 825, 2494, 3488, 17273, 262, 13211, 825, 23378, 3097, 330, 8636, 839, 815, 1496, 454, 29272, 3488, 14937, 262, 13211, 29272, 3488, 294, 5424, 5073, 6540, 577, 28534, 20189, 727, 815, 5600, 4590, 1721, 11078, 538, 19946, 912, 825, 11078, 6230, 913, 18425, 318, 5264, 263, 5264, 815, 19259, 539, 20189, 727, 994, 1721, 6539, 1084, 538, 6539, 29181, 912, 825, 6539, 1084, 269, 2041, 6958, 895, 263, 5264, 815, 19259, 539, 20189, 727, 2020, 1721, 1554, 538, 2039, 263, 272, 267, 476, 3607, 277, 2187, 825, 1820, 6600, 262, 4499, 2525, 284, 21196, 2715, 1485, 348, 3323, 4499, 2525, 5073, 825, 585, 11078, 538, 19946, 912, 1038, 11078, 269, 5158, 4590, 825, 585, 6539, 1084, 538, 6539, 29181, 912, 1038, 6539, 1084, 6983, 520, 318, 5158, 4590, 825, 1820, 3488, 19203, 3528, 519, 1439, 540, 519, 1554, 19203, 10807, 3097, 825, 585, 11078, 538, 19946, 912, 1038, 1820, 4433, 3563, 994, 825, 585, 6539, 1084, 538, 6539, 29181, 912, 1038, 1820, 17347, 527, 1084, 264, 8931, 825, 1820, 263, 577, 28534, 20189, 727, 2020, 0, 5228, 13483, 331, 1104, 590, 27942, 924, 1477, 5814, 30220, 1477, 3698, 1205, 22710, 28399, 825, 942, 815, 30220, 6155, 520, 8135, 269, 852, 14061, 1598, 1111, 830, 3488, 260, 312, 268, 260, 332, 268, 260, 323, 4939, 295, 281, 260, 300, 281, 260, 306, 20298, 825, 1820, 263, 5503, 3418, 825, 2132, 942, 1477, 323, 520, 15390, 815, 590, 27942, 924, 3488, 323, 520, 15390, 20298, 258, 6538, 269, 22056, 4671, 762, 3488, 24165, 297, 17614, 3299, 2839, 815, 1412, 19860, 9680, 2207, 623, 6020, 300, 14473, 26395, 312, 27483, 302, 2562, 290, 3918, 16774, 3299, 715, 28719, 815, 1412, 307, 28692, 3299, 2562, 23859, 815, 1412, 307, 28692, 3299, 291, 12442, 815, 1412, 307, 28692, 20298, 258, 6538, 269, 22056, 4671, 762, 3488, 3951, 4932, 3299, 2839, 815, 1412, 19860, 9680, 2207, 623, 6020, 300, 14473, 26395, 312, 27483, 302, 2562, 290, 3918, 16774, 3299, 715, 28719, 815, 1412, 307, 28692, 3299, 2562, 23859, 815, 1412, 307, 28692, 3299, 291, 12442, 815, 1412, 307, 28692, 262, 10142, 323, 520, 15390, 27044, 3488, 3951, 4932, 3299, 715, 28719, 815, 1412, 307, 28692, 3299, 2562, 23859, 815, 1412, 307, 28692, 3299, 291, 12442, 815, 1205, 22710, 3890, 3418, 573, 815, 6538, 8807, 21255, 821, 3488, 3951, 4932, 12887, 291, 12442, 12887, 2793, 10933, 3299, 3602, 815, 1412, 3602, 7329, 815, 476, 280, 20298, 2745, 263, 573, 264, 0, 258, 8193, 284, 583, 325, 268, 279, 454, 18411, 25913, 25622, 272, 267, 14395, 508, 27064, 364, 1029, 2908, 1029, 25913, 25622, 454, 23946, 370, 21928, 16533, 484, 22047, 32352, 7511, 14395, 508, 28032, 489, 14756, 495, 27936, 28996, 32352, 9463, 502, 19404, 493, 318, 27349, 31968, 2676, 417, 28187, 31563, 743, 338, 11519, 27349, 20992, 14085, 13644, 368, 13107, 492, 13644, 354, 32352, 13213, 502, 418, 366, 350, 20069, 14395, 508, 28032, 489, 25060, 500, 13213, 485, 267, 14395, 508, 28032, 489, 25060, 500, 13644, 354, 32352, 267, 23946, 370, 13213, 498, 18713, 508, 454, 417, 28187, 31563, 743, 338, 11519, 27349, 21251, 20992, 14085, 267, 25203, 368, 26406, 354, 13213, 498, 18713, 508, 743, 338, 11519, 27349, 454, 18257, 7531, 5035, 7327, 13987, 24998, 2187, 825, 1219, 6449, 2908, 9191, 743, 338, 267, 2608, 16911, 267, 2878, 29220, 16911, 2187, 1038, 952, 711, 814, 3430, 337, 263, 743, 338, 267, 1412, 318, 27349, 262, 2187, 2018, 1976, 815, 2706, 22829, 532, 13987, 267, 804, 338, 994, 2018, 804, 338, 11519, 27349, 815, 1976, 14857, 2908, 9191, 743, 338, 994, 1038, 2132, 804, 338, 11519, 27349, 7531, 5035, 3733, 12218, 22829, 532, 13987, 2187, 825, 513, 815, 476, 272, 7531, 604, 6449, 4067, 1029, 2652, 21507, 10852, 23922, 825, 835, 815, 3733, 12218, 4590, 825, 1079, 815, 3733, 12218, 10797, 825, 1079, 18502, 815, 476, 274, 454, 825, 1820, 263, 821, 18502, 2020, 825, 1820, 263, 573, 263, 821, 4917, 825, 1820, 263, 573, 6025, 6851, 11723, 825, 1820, 263, 821, 2652, 1079, 994, 825, 1820, 263, 821, 568, 1079, 994, 0, 258, 8193, 284, 583, 325, 268, 279, 454, 5035, 3557, 912, 825, 23288, 825, 1533, 454, 825, 17276, 488, 377, 420, 365, 350, 419, 488, 370, 26233, 479, 32352, 267, 27936, 18263, 487, 22047, 26406, 354, 9463, 352, 23284, 16533, 479, 420, 352, 483, 4970, 492, 935, 3667, 7511, 454, 825, 476, 22047, 29830, 373, 27936, 419, 488, 370, 26233, 479, 25203, 372, 10429, 367, 7511, 27310, 20992, 454, 825, 23288, 825, 1219, 2328, 318, 32491, 4311, 267, 530, 2187, 1038, 1780, 692, 5035, 4518, 912, 825, 23288, 825, 2796, 454, 825, 476, 14756, 368, 418, 488, 353, 22047, 10429, 371, 12916, 497, 419, 488, 370, 26233, 479, 31878, 32352, 7511, 14395, 508, 28032, 489, 267, 30244, 14748, 14395, 508, 28032, 489, 454, 825, 13127, 362, 504, 18263, 487, 25051, 497, 31176, 491, 7511, 419, 488, 370, 26233, 479, 454, 825, 23288, 825, 1219, 6449, 8181, 9191, 1345, 2187, 1038, 1582, 19544, 712, 815, 476, 280, 454, 1038, 1582, 269, 9690, 815, 5983, 12158, 13750, 4590, 825, 1219, 1305, 26077, 4311, 267, 10917, 2187, 1038, 1582, 269, 9690, 815, 10917, 454, 825, 1219, 2328, 318, 32491, 4311, 2187, 1038, 1582, 269, 9690, 22182, 318, 32491, 4311, 2020, 5035, 715, 3019, 13750, 263, 13750, 2187, 825, 23288, 825, 6405, 26077, 454, 825, 476, 10429, 371, 12916, 497, 419, 488, 370, 26233, 479, 267, 30006, 493, 22047, 31878, 32352, 14395, 508, 27064, 364, 22047, 4970, 492, 935, 3667, 454, 825, 476, 7511, 22047, 419, 488, 370, 26233, 479, 454, 825, 23288, 825, 1219, 2328, 318, 32491, 4311, 267, 530, 2187, 1038, 1820, 3488, 12158, 2324, 5073, 1038, 952, 530, 19544, 712, 2999, 476, 1724, 912, 2018, 1820, 3488, 325, 684, 5073, 1038, 3116, 912, 2018, 1820, 3488, 928, 539, 547, 1964, 17210, 5035, 5983, 12158, 13750, 263, 13750, 2187, 825, 1219, 2328, 318, 32491, 4311, 267, 530, 2187, 1038, 952, 530, 19544, 712, 2999, 476, 1321, 912, 2018, 1820, 3488, 332, 528, 940, 2324, 5073, 2018, 1820, 3488, 523, 1120, 2045, 5073, 1038, 3116, 912, 2018, 530, 15630, 26077, 18217, 3019, 13750, 15405, 2018, 530, 22182, 318, 32491, 10797, 604, 6449, 4067, 1029, 2652, 21507, 10852, 23922, 825, 1250, 1740, 815, 4518, 4590, 825, 1250, 1740, 19544, 712, 815, 476, 280, 454, 825, 1250, 1740, 22182, 318, 32491, 4590, 825, 1250, 1740, 19544, 712, 815, 476, 1691, 454, 825, 1250, 1740, 22182, 318, 32491, 10797, 0, 5814, 1205, 10139, 454, 5814, 19523, 7531, 5035, 670, 836, 2006, 1384, 825, 1219, 6449, 8181, 9191, 1345, 2187, 1038, 1582, 7456, 1161, 815, 476, 1015, 454, 1038, 1582, 6983, 8091, 569, 318, 29674, 539, 815, 11713, 1038, 1582, 9884, 3994, 318, 29674, 539, 815, 11713, 1038, 1582, 9884, 3994, 318, 12072, 815, 834, 4840, 1038, 1582, 6983, 8091, 318, 12072, 815, 834, 5016, 825, 1219, 1404, 4311, 2187, 1038, 1582, 269, 6358, 29999, 4590, 1038, 1247, 1582, 7456, 1161, 3436, 476, 271, 912, 2018, 1582, 269, 8974, 23962, 4590, 2018, 1582, 2593, 6768, 17750, 4590, 2018, 1582, 269, 26920, 15058, 9078, 1161, 4590, 1038, 3116, 912, 2018, 1582, 8807, 9229, 10797, 825, 1219, 3403, 29999, 4311, 2187, 1038, 1820, 2891, 295, 718, 334, 10950, 547, 519, 13793, 2006, 3014, 23528, 1038, 1948, 14871, 11378, 513, 2262, 454, 1038, 1948, 1205, 10139, 786, 1118, 2386, 519, 3403, 530, 2632, 581, 7298, 454, 1038, 1582, 269, 24987, 815, 1205, 10139, 10947, 10139, 2891, 25585, 1810, 1405, 596, 2285, 803, 513, 2262, 286, 281, 5602, 1038, 1948, 24439, 513, 1592, 540, 519, 2262, 519, 3593, 3403, 1540, 454, 1038, 1582, 269, 4289, 15058, 318, 24393, 815, 1592, 4311, 269, 24987, 994, 1038, 1948, 4032, 338, 519, 3615, 538, 519, 1592, 454, 1038, 1582, 8542, 3784, 15058, 318, 24393, 815, 7003, 4311, 269, 4289, 15058, 318, 24393, 994, 1038, 1820, 2891, 763, 824, 6345, 786, 723, 2580, 1582, 7456, 1161, 267, 834, 3430, 3319, 338, 547, 7058, 713, 2580, 1582, 8542, 3784, 15058, 318, 24393, 267, 29038, 12072, 2262, 15419, 825, 1219, 896, 23962, 4311, 2187, 1038, 585, 4484, 538, 1582, 269, 4289, 15058, 318, 24393, 912, 2018, 952, 4484, 538, 1582, 6983, 8091, 569, 318, 29674, 539, 912, 3546, 1820, 263, 12072, 266, 257, 14307, 1439, 284, 3269, 994, 2018, 3116, 912, 3546, 1820, 2891, 318, 14307, 1439, 284, 3269, 994, 1038, 1820, 10797, 825, 1219, 5635, 17750, 4311, 2187, 1038, 4484, 815, 3403, 4590, 1038, 1592, 318, 12072, 815, 1592, 263, 12072, 994, 1038, 1820, 263, 12072, 994, 1038, 1820, 17338, 318, 12072, 994, 1038, 1948, 1403, 621, 568, 513, 4484, 454, 1038, 952, 7003, 17338, 318, 12072, 264, 2652, 476, 272, 912, 2018, 1948, 2638, 952, 922, 538, 519, 2262, 454, 2018, 952, 4484, 538, 1582, 269, 4289, 15058, 318, 24393, 912, 3546, 1820, 2891, 25152, 5602, 3546, 1582, 4732, 8491, 318, 24393, 263, 12072, 267, 6936, 994, 2018, 3116, 912, 3546, 1820, 2891, 32401, 5602, 3546, 1582, 7456, 1161, 815, 1582, 7456, 1161, 910, 476, 272, 454, 3546, 1582, 4732, 8491, 318, 24393, 263, 12072, 267, 8771, 994, 1038, 1948, 4258, 4242, 952, 519, 2016, 1913, 616, 519, 1482, 454, 1038, 8640, 1592, 318, 12072, 2652, 1582, 269, 4289, 15058, 318, 24393, 912, 2018, 1820, 2891, 322, 8091, 596, 3094, 5602, 2018, 19523, 20216, 527, 263, 271, 994, 1038 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 11873, 538, 15339, 269, 634, 1272, 4783, 1648, 4616, 568, 2016, 676, 1210, 1079, 1114, 3301, 15004, 269, 634, 1101, 568, 1634, 607, 18637, 328, 267, 799, 814, 513, 3864, 6538, 269, 898, 568, 3730, 547, 5173, 519, 2698, 2179, 540, 1648, 1031, 543, 519, 2179, 540, 2910, 273, 5950, 883, 519, 5790, 676, 519, 1114, 3785, 998, 741, 14438, 269, 634, 2034, 1982, 568, 1715, 10215, 3301, 1634, 607, 9338, 293, 476, 274, 630, 25486, 783, 13809, 16748, 476, 274, 1070, 2919, 896, 19836, 3198, 313, 630, 19465, 3194, 5948, 540, 1715, 10215, 264, 799, 568, 3730, 547, 5173, 2230, 8022, 1648, 269, 634, 6364, 540, 519, 1382, 2982, 602, 519, 6165, 540, 11288, 11149, 538, 5656, 5012, 547, 513, 2101, 4616, 540, 1648, 630, 704, 4009, 25451, 264, 543, 5305, 540, 2910, 273, 883, 519, 5790, 630, 704, 4009, 25451, 264, 538, 6476, 609, 2757, 6405, 543, 16025, 5656, 269, 0, 1692, 16195, 568, 30205, 539, 676, 5303, 281, 634, 17510, 540, 17791, 8234, 454, 763, 13044, 268, 866, 6855, 814, 20739, 8898, 688, 22106, 2066, 519, 1158, 543, 22508, 2299, 267, 649, 723, 519, 2029, 538, 1747, 547, 1683, 6552, 3782, 267, 7361, 7064, 547, 20429, 936, 5769, 16257, 630, 309, 334, 7709, 264, 3435, 269, 4635, 3156, 971, 607, 4787, 4286, 543, 28652, 267, 2564, 4648, 666, 5838, 741, 2533, 547, 741, 2550, 543, 519, 6855, 8806, 26558, 2989, 1018, 729, 2469, 547, 4755, 19037, 267, 6236, 602, 519, 1101, 1900, 540, 3001, 519, 2564, 4648, 547, 519, 2228, 1158, 729, 1500, 950, 789, 3323, 3478, 741, 4359, 2564, 24501, 713, 1259, 563, 292, 3916, 3215, 5274, 13555, 454, 2691, 7231, 609, 513, 3644, 602, 18993, 1080, 3842, 1480, 5872, 267, 649, 991, 547, 798, 1018, 649, 666, 547, 9004, 1480, 3346, 267, 693, 2547, 2394, 649, 723, 6603, 23636, 12046, 269, 769, 1082, 2665, 267, 513, 4387, 568, 2111, 547, 4163, 856, 606, 4977, 3461, 5868, 689, 2348, 513, 3381, 15360, 543, 666, 4061, 21559, 519, 2953, 6646, 563, 26045, 2657, 6076, 18522, 454, 26045, 1072, 5646, 8688, 832, 616, 1360, 11112, 693, 519, 4090, 267, 1813, 547, 519, 1082, 1004, 945, 616, 896, 4049, 2604, 3361, 676, 519, 6855, 269, 1403, 596, 991, 2576, 547, 2911, 547, 827, 707, 6381, 267, 513, 5616, 3406, 786, 948, 596, 12398, 513, 11727, 5646, 8688, 528, 267, 945, 568, 8036, 547, 581, 513, 1434, 26575, 269, 1452, 2533, 1522, 581, 1863, 585, 1004, 609, 1970, 4747, 543, 616, 1419, 2229, 6462, 269, 1403, 596, 3643, 519, 3135, 596, 917, 2603, 540, 3377, 14091, 358, 498, 27338, 32510, 478, 423, 484, 478, 27338, 425, 482, 364, 454, 17829, 945, 616, 29279, 547, 6878, 666, 849, 4309, 2228, 3797, 689, 11727, 5646, 8688, 832, 543, 585, 930, 1004, 267, 513, 3232, 10004, 568, 2614, 547, 1832, 873, 2476, 689, 5061, 269, 2368, 1489, 2516, 2196, 3381, 11401, 602, 1450, 3755, 547, 2671, 741, 2833, 543, 713, 568, 513, 4105, 3028, 585, 1082, 3075, 3755, 607, 621, 3947, 873, 3606, 5837, 1489, 563, 13750, 540, 519, 3203, 6481, 16811, 454, 8794, 513, 3056, 5177, 3043, 1350, 913, 17825, 2754, 267, 681, 1156, 639, 4400, 15306, 267, 3782, 17825, 666, 581, 5645, 856, 676, 14468, 4648, 267, 945, 3560, 543, 3888, 18909, 543, 11632, 1085, 22395, 267, 2059, 609, 824, 1164, 10509, 2564, 3937, 269, 14464, 4987, 568, 2907, 1373, 1031, 547, 13209, 2860, 1210, 9221, 2473, 7304, 904, 543, 1310, 513, 2866, 1974, 267, 519, 3642, 856, 704, 13257, 1022, 1480, 563, 300, 1120, 532, 609, 3642, 267, 519, 5767, 5108, 540, 6391, 11608, 4163, 856, 5393, 5730, 2634, 6391, 543, 713, 3937, 568, 7930, 4742, 2139, 2066, 519, 1158, 269, 901, 568, 1175, 835, 1858, 602, 2029, 568, 4543, 519, 2564, 5823, 543, 602, 1797, 1272, 19104, 786, 581, 6905, 269, 8437, 1934, 585, 811, 1344, 827, 1533, 6361, 7308, 19603, 3059, 3457, 563, 5472, 1610, 3930, 616, 1631, 5356, 741, 2533, 538, 513, 5691, 1604, 267, 799, 568, 1390, 585, 1312, 6105, 543, 6087, 519, 2564, 19995, 547, 5838, 741, 2533, 547, 2228, 2550, 269, 901, 3028, 568, 1031, 676, 9845, 945, 6999, 547, 9156, 689, 5945, 610, 616, 3168, 585, 2362, 8516, 2157, 543, 952, 596, 723, 513, 562, 698, 3101, 2168, 5945, 267, 3406, 2228, 585, 513, 1610, 1470, 602, 3091, 2228, 29492, 563, 763, 5066, 719, 540, 476, 276, 294, 543, 519, 5769, 540, 12085, 786, 1683, 513, 3760, 602, 786, 1491, 721, 547, 519, 1985, 1377, 540, 3059, 1646, 563, 763, 2104, 540, 519, 2564, 543, 1072, 5823, 5654, 887, 1910, 543, 786, 1331, 7658, 8234, 1416, 3435, 267, 543, 607, 649, 1847, 856, 540, 519, 13044, 268, 866, 6855, 267, 649, 666, 782, 1413, 4464, 547, 13059, 547, 930, 2186, 540, 2343, 1275, 269, 16731, 713, 3135, 4179, 2517, 27700, 330, 9392, 2593, 270, 0, 8245, 976, 7690, 8081, 539, 3194, 2904, 5620, 5853, 3281, 895, 12708, 547, 19725, 540, 5020, 593, 3047, 454, 14722, 693, 519, 2480, 23774, 338, 3194, 4659, 538, 5487, 808, 3326, 320, 9307, 11728, 602, 789, 949, 723, 1336, 513, 7623, 1898, 547, 519, 5250, 540, 1272, 593, 3618, 563, 19853, 960, 729, 1759, 593, 513, 8367, 602, 513, 3114, 5114, 1572, 8485, 800, 3175, 949, 723, 1044, 2629, 585, 519, 10198, 540, 1614, 1883, 5820, 538, 2038, 1272, 3029, 2443, 2110, 22204, 540, 22951, 1938, 547, 4558, 4719, 1344, 267, 2110, 11800, 540, 11254, 7408, 1634, 607, 30902, 547, 798, 519, 1292, 960, 540, 2281, 267, 543, 26307, 547, 1106, 20206, 6819, 3889, 971, 607, 1591, 6821, 563, 4913, 267, 1100, 835, 814, 5892, 1336, 513, 6219, 602, 729, 23710, 4601, 1459, 593, 2038, 3047, 602, 1223, 1267, 538, 8485, 800, 3175, 547, 3132, 519, 1614, 5049, 540, 6675, 2427, 8386, 20933, 896, 519, 1482, 10853, 2175, 267, 2687, 547, 570, 306, 6020, 563, 1103, 513, 1353, 3370, 538, 519, 4760, 7186, 11061, 267, 570, 306, 6020, 2447, 1235, 1767, 602, 5603, 573, 2684, 24043, 267, 4122, 1634, 547, 3744, 607, 667, 4338, 267, 1223, 723, 1044, 1459, 538, 3047, 779, 2038, 2395, 543, 3743, 585, 8485, 800, 3175, 563, 14071, 2303, 513, 8485, 800, 3175, 7998, 602, 1223, 723, 2016, 4473, 267, 782, 538, 519, 1482, 1747, 267, 547, 23731, 31265, 582, 1938, 267, 23731, 2100, 696, 1938, 543, 519, 1591, 6438, 3889, 547, 11700, 846, 873, 2223, 1767, 1353, 9972, 2278, 10548, 534, 541, 18885, 534, 25421, 5864, 584, 20321, 267, 12314, 7548, 540, 7998, 693, 570, 306, 6020, 269, 968, 6546, 538, 2490, 1131, 723, 4847, 824, 2447, 31559, 602, 941, 711, 2009, 1354, 267, 5732, 3056, 547, 519, 1101, 2241, 267, 1591, 2861, 2713, 9988, 3034, 28095, 6436, 10704, 593, 1114, 8485, 800, 3175, 8069, 585, 1142, 1184, 1862, 0, 6624, 9283, 616, 5340, 538, 519, 17535, 2872, 547, 2327, 6940, 543, 1648, 4398, 269, 634, 946, 540, 10316, 27668, 1949, 630, 295, 4916, 264, 538, 7286, 8043, 13054, 835, 540, 519, 7835, 538, 713, 2361, 269, 769, 713, 1353, 14720, 1054, 2804, 543, 2825, 2640, 616, 6098, 269, 634, 1353, 6663, 547, 2569, 519, 1164, 4492, 4616, 540, 519, 2599, 829, 1770, 1379, 693, 1970, 13907, 543, 6922, 1436, 540, 5434, 676, 27126, 873, 689, 1292, 2599, 676, 670, 4916, 269, 28304, 519, 7687, 540, 1323, 10811, 17886, 630, 7093, 3685, 540, 5794, 21694, 689, 590, 4721, 264, 540, 4139, 13482, 585, 519, 10644, 540, 21694, 689, 590, 4721, 630, 300, 2752, 303, 5357, 264, 616, 5551, 543, 519, 1382, 13922, 585, 513, 6225, 1267, 593, 6052, 21252, 21474, 971, 607, 6052, 21252, 7358, 1049, 25824, 1807, 630, 7417, 302, 296, 1040, 589, 3102, 1353, 568, 12913, 593, 519, 10316, 27668, 1062, 3334, 543, 519, 17161, 1031, 538, 519, 3332, 2689, 616, 7000, 269, 5015, 267, 519, 4930, 602, 723, 968, 324, 11797, 5608, 968, 1407, 1088, 5608, 968, 335, 1886, 13955, 892, 543, 968, 3405, 710, 892, 3584, 3370, 538, 5680, 540, 3163, 630, 310, 5308, 264, 1063, 476, 3192, 276, 268, 1708, 271, 616, 8947, 543, 476, 4510, 2090, 616, 5833, 269, 634, 2090, 602, 723, 1044, 6603, 616, 9916, 543, 4690, 540, 873, 616, 2445, 896, 519, 476, 1240, 16144, 543, 519, 17122, 1448, 540, 1142, 1353, 568, 12006, 538, 2376, 269, 4340, 547, 519, 2164, 267, 519, 10316, 1062, 2488, 1970, 4492, 4616, 267, 24024, 5434, 543, 3790, 267, 5360, 625, 609, 519, 6042, 540, 519, 4139, 31845, 9257, 267, 3096, 7791, 1648, 2959, 267, 7512, 519, 946, 540, 3167, 16546, 538, 1840, 547, 4835, 13674, 9817, 267, 4679, 519, 4398, 540, 1648, 4859, 1949, 1851, 824, 1919, 269, 901, 2376, 786, 581, 513, 1713, 4199, 585, 4081, 2103, 267, 4966, 543, 3549, 593, 519, 28628, 27668, 1062, 538, 4259, 741, 1445, 269, 27511, 281, 28628, 27668, 267, 6052, 9494, 267, 6820, 8337, 563, 763, 15349, 8585, 31008, 1744, 6235, 12752, 814, 5063, 14754, 606, 2810, 4656, 540, 519, 2956, 547, 7413, 2825, 5533, 543, 4492, 3282, 4616, 269, 8625, 609, 1978, 1875, 3766, 21194, 3906, 543, 2923, 4145, 827, 2825, 4027, 267, 519, 4139, 31845, 9257, 630, 8379, 302, 264, 814, 1044, 7453, 593, 9013, 24379, 2360, 593, 519, 1604, 543, 267, 18867, 267, 16550, 11288, 3549, 547, 7413, 741, 5434, 269, 14755, 267, 2221, 779, 3810, 4359, 2029, 3549, 936, 519, 1158, 723, 2919, 1585, 5499, 1949, 602, 666, 581, 8246, 547, 7413, 3327, 12998, 267, 3976, 4758, 22059, 547, 4143, 9520, 602, 741, 9541, 616, 1034, 2693, 547, 2490, 856, 1134, 609, 513, 9645, 2883, 2744, 538, 519, 2110, 610, 1279, 2165, 269, 6736, 782, 971, 15028, 7835, 267, 538, 513, 2489, 1413, 267, 11288, 3549, 3100, 26997, 538, 1818, 946, 540, 4066, 3246, 4398, 538, 1648, 4616, 269, 901, 19385, 766, 814, 5555, 4547, 827, 519, 2165, 968, 21328, 21252, 29361, 6100, 901, 1382, 29377, 513, 18102, 267, 2813, 676, 6452, 3511, 334, 1696, 620, 269, 2073, 1851, 519, 11288, 3549, 538, 11894, 269, 476, 736, 4431, 550, 3549, 267, 945, 2099, 476, 2918, 2600, 540, 519, 15349, 11262, 21471, 7286, 18239, 540, 936, 476, 1911, 271, 14407, 9522, 333, 720, 538, 2474, 540, 4666, 7076, 18535, 4390, 267, 15548, 538, 519, 1382, 269, 634, 21942, 9756, 2079, 729, 1031, 267, 543, 12496, 941, 1500, 2687, 547, 519, 5833, 8579, 2418, 269, 634, 2832, 540, 519, 1382, 729, 547, 2697, 4128, 543, 2798, 1964, 20995, 519, 946, 540, 1007, 4066, 3823, 1648, 4398, 267, 607, 1134, 607, 547, 1020, 18747, 585, 519, 3048, 2209, 538, 713, 2361, 827, 875, 547, 7753, 713, 27656, 777, 7282, 2930, 543, 31707, 3344, 540, 11543, 1648, 4398, 563, 2675, 924, 568, 513, 27201, 2861, 23492, 602, 2337, 3173, 1732, 3605, 543, 1174, 1382, 4930, 998, 12829, 13022, 725, 1700, 322, 14591, 602, 4159, 519, 2796, 540, 519, 11239, 543, 4766, 2436, 519, 2376, 2488, 5885, 610, 17804, 2963, 269, 1085, 924, 568, 1031, 676, 1053, 3173, 689, 1472, 519, 1158, 543, 568, 14102, 538, 851, 676, 519, 2817, 3163, 7690, 543, 519, 2817, 4659, 593, 10684, 18816, 540, 519, 2817, 23941, 540, 2657, 563, 31172, 15182, 731, 853, 454, 29662, 758, 14979, 267, 12924, 476, 12208, 1556, 454, 15648, 9736, 476, 1708, 274, 1085, 924, 5549, 269, 2353, 2924, 11603, 563, 300, 1228, 609, 9462, 496, 503, 585, 3173 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 616, 2016, 811, 982, 2899, 267, 693, 1114, 6502, 267, 543, 538, 10659, 269, 901, 1797, 602, 3237, 991, 547, 1832, 513, 6297, 2594, 540, 741, 1126, 779, 15833, 269, 4014, 3782, 7426, 685, 13646, 849, 1832, 3950, 267, 1004, 1689, 3782, 7426, 267, 543, 5638, 666, 1205, 4503, 269, 634, 1268, 6038, 3743, 585, 5329, 3950, 540, 513, 1126, 779, 10074, 568, 519, 2385, 563, 6962, 281, 634, 11957, 540, 17261, 1149, 454, 309, 3147, 1149, 616, 930, 540, 519, 32343, 543, 1034, 2500, 11955, 649, 723, 269, 1358, 723, 1500, 1082, 5906, 6689, 3676, 4686, 2221, 269, 15775, 2789, 10074, 693, 519, 1482, 3643, 568, 2922, 269, 898, 5849, 1453, 616, 6870, 607, 3533, 607, 2009, 1282, 741, 2038, 1296, 950, 789, 616, 1034, 693, 1981, 269, 15775, 1896, 10074, 693, 519, 1482, 942, 849, 1797, 7864, 20499, 543, 5712, 540, 1928, 543, 9636, 585, 1453, 267, 1818, 519, 1184, 811, 19242, 585, 873, 543, 741, 3237, 563, 29771, 547, 645, 13585, 27915, 454, 14294, 909, 585, 938, 3232, 20394, 8720, 2518, 8840, 3377, 1472, 519, 1158, 269, 0, 1103, 476, 3707, 280, 267, 513, 24888, 547, 519, 4207, 10991, 2295, 6802, 4957, 883, 9112, 609, 519, 5351, 540, 2564, 7189, 5261, 29828, 749, 543, 5261, 3794, 3317, 540, 519, 23171, 3427, 540, 6925, 1210, 606, 661, 516, 2758, 5590, 267, 1028, 9285, 12918, 543, 7475, 267, 543, 546, 830, 6879, 641, 9162, 269, 634, 3544, 6802, 7561, 21271, 539, 519, 2295, 540, 513, 2915, 585, 3063, 982, 606, 5662, 563, 26469, 12736, 23025, 11827, 606, 5841, 2295, 609, 519, 948, 540, 8361, 1261, 574, 28727, 630, 1492, 23266, 540, 519, 1261, 574, 28727, 23603, 264, 543, 4371, 519, 3119, 14664, 585, 713, 2186, 540, 3926, 269, 634, 2160, 540, 18096, 4359, 513, 13380, 3937, 1472, 519, 1482, 942, 267, 2705, 2899, 789, 6836, 547, 14664, 621, 267, 12736, 23025, 779, 2295, 1831, 7074, 607, 4505, 1148, 269, 634, 2852, 16761, 602, 12736, 23025, 24946, 519, 18337, 2295, 547, 519, 2160, 540, 18096, 267, 799, 646, 1705, 269, 1703, 568, 513, 1906, 7521, 607, 547, 875, 9748, 540, 12736, 23025, 779, 11768, 7917, 808, 541, 341, 1731, 1031, 538, 3395, 808, 541, 341, 1731, 779, 10991, 18337, 2295, 269, 1261, 574, 28727, 2829, 267, 968, 296, 4718, 519, 2295, 267, 594, 8068, 519, 14664, 543, 594, 4718, 519, 5022, 269, 634, 2596, 840, 1061, 8246, 538, 12736, 23025, 779, 2295, 543, 808, 541, 341, 1731, 779, 2295, 568, 4010, 519, 1482, 269, 9232, 808, 541, 341, 1731, 3954, 625, 602, 1022, 540, 12736, 23025, 779, 11768, 2609, 1185, 1044, 3769, 883, 519, 1907, 646, 29959, 585, 1480, 7919, 799, 2968, 7157, 5579, 5896, 883, 4446, 2284, 18412, 538, 476, 2735, 273, 563, 4002, 476, 1321, 5412, 476, 4198, 278, 267, 654, 4068, 332, 2977, 534, 30709, 742, 267, 519, 26750, 779, 5021, 30508, 23266, 540, 5841, 8219, 267, 5579, 5896, 606, 5841, 2295, 883, 513, 22578, 693, 25350, 18669, 269, 634, 2915, 5030, 585, 562, 27197, 25008, 563, 1103, 476, 4198, 279, 267, 667, 4040, 334, 9149, 27198, 15748, 519, 1382, 540, 25526, 295, 10682, 693, 10370, 517, 267, 5333, 267, 543, 538, 476, 4198, 280, 1700, 2568, 593, 519, 2817, 2160, 540, 595, 6759, 6113, 20899, 267, 18335, 269, 1261, 3177, 1010, 960, 593, 519, 10198, 540, 519, 1977, 5980, 585, 14464, 18378, 2107, 7540, 4371, 538, 9533, 4975, 538, 4728, 476, 3422, 272, 269, 2311, 602, 10198, 267, 9149, 27198, 3989, 519, 15498, 566, 540, 1614, 3029, 540, 9647, 582, 8084, 630, 5976, 514, 519, 829, 545, 731, 658, 5485, 264, 25526, 295, 338, 538, 29067, 267, 1169, 540, 799, 1031, 513, 2027, 2707, 540, 5007, 4222, 281, 606, 15498, 762, 3167, 5179, 267, 606, 15498, 762, 15914, 6802, 609, 606, 5007, 3167, 5179, 267, 543, 513, 533, 928, 9964, 6802, 563, 1103, 476, 3422, 275, 267, 519, 2817, 23941, 540, 2657, 3323, 856, 519, 14464, 9839, 5358, 267, 609, 519, 3804, 540, 4259, 606, 10991, 18337, 2295, 1318, 883, 513, 1480, 3842, 519, 3247, 540, 519, 8717, 269, 634, 30254, 540, 713, 1062, 4957, 883, 547, 22962, 606, 15498, 762, 5841, 2295, 267, 1927, 609, 519, 4222, 2707, 267, 547, 5372, 513, 17528, 2295, 563, 1103, 5988, 476, 3422, 277, 267, 1520, 6929, 23006, 992, 6308, 9782, 547, 5001, 23146, 950, 646, 6913, 519, 1158, 779, 1101, 8628, 15498, 566, 540, 513, 9864, 7344, 18337, 2295, 630, 3847, 5887, 14152, 948, 3926, 264, 693, 631, 2727, 517, 1938, 6481, 4741, 563, 1103, 476, 3422, 278, 267, 30709, 742, 2451, 25350, 18669, 547, 1376, 519, 10406, 540, 14464, 2107, 7540, 593, 519, 2160, 540, 18096, 543, 11654, 1010, 960, 693, 519, 10991, 2295, 563, 1103, 476, 3192, 274, 267, 513, 28419, 3957, 25414, 15068, 585, 476, 1789, 2395, 593, 606, 2038, 30709, 742, 18337, 2295, 563, 1103, 476, 3192, 276, 267, 513, 13032, 3957, 8738, 330, 15068, 476, 3445, 2395, 693, 519, 5841, 2295, 563, 1103, 476, 3192, 277, 267, 513, 28419, 3957, 589, 2041, 2041, 5030, 585, 476, 7277, 2395, 593, 519, 808, 541, 341, 1731, 2947, 5841, 2295, 563, 1103, 476, 2735, 272, 267, 513, 28419, 3957, 21238, 7083, 570, 3317, 903, 517, 5030, 585, 476, 28803, 2395, 593, 519, 808, 541, 341, 1731, 476, 276, 563, 7021, 519, 1296, 267, 811, 982, 476, 273, 4627, 13500, 267, 8030, 267, 2852, 1053, 543, 12200, 4359, 267, 8947, 543, 4824, 30709, 742, 779, 10991, 18337, 2295, 269, 1677, 948, 13861, 1010, 1082, 18129, 267, 30709, 742, 8655, 4305, 9946, 269, 3962, 23072, 5828, 883, 3957, 1310, 922, 28643, 269, 23958, 20194, 7917, 808, 541, 341, 1731, 1831, 519, 4305, 9614, 585, 519, 10991, 18337, 2295, 267, 799, 1831, 538, 519, 1439, 26948, 519, 808, 541, 341, 1731, 476, 278, 563, 1103, 476, 2735, 272, 267, 5261, 1546, 309, 1845, 11643, 513, 7662, 547, 519, 15111, 585, 10479, 547, 15498, 519, 808, 541, 341, 1731, 476, 278, 1318, 883, 513, 812, 610, 2021, 269, 2201, 476, 273, 5412, 476, 2735, 273, 267, 5261, 1546, 309, 1845, 5579, 5896, 519, 808, 541, 341, 1731, 476, 278, 10991, 2295, 883, 4446, 2284, 18412, 267, 513, 11290, 689, 22208, 945, 1185, 7920, 7249, 24304, 18337, 2295, 5821, 269, 18412, 5030, 585, 476, 12208, 2395, 512, 9220, 1042, 547, 606, 3544, 533, 928, 9964, 26468, 267, 513, 1907, 20604, 513, 1906, 476, 6110, 737, 3342, 630, 5197, 4846, 1070, 855, 693, 930, 1448, 540, 602, 1448, 646, 9952, 6905, 5712, 540, 10539, 543, 513, 1297, 540, 2053, 540, 11702, 267, 543, 16761, 3875, 8320, 547, 581, 4847, 547, 5884, 269, 0, 763, 22096, 19438, 267, 1419, 5219, 547, 607, 519, 968, 331, 31258, 540, 519, 3047, 2223, 568, 519, 1158, 779, 2034, 28376, 9341, 22986, 267, 17364, 936, 3670, 6239, 3979, 2477, 269, 901, 5318, 1163, 534, 572, 540, 18932, 3039, 2044, 568, 711, 1152, 513, 9265, 28326, 13607, 855, 849, 4249, 513, 2629, 1909, 538, 15725, 519, 3047, 779, 2916, 269, 1717, 267, 519, 22096, 19438, 568, 4867, 6849, 513, 21318, 540, 6937, 267, 689, 17717, 543, 2916, 1689, 547, 7226, 9552, 543, 10363, 19883, 269, 1452, 2591, 723, 1713, 6286, 585, 1585, 6080, 267, 1519, 4070, 269, 769, 713, 2376, 267, 5656, 29347, 8595, 2593, 15503, 15608, 17659, 12064, 12538, 883, 519, 1699, 6937, 547, 519, 22096, 19438, 543, 7710, 1018, 789, 1522, 1611, 585, 519, 4070, 2872, 563, 763, 22096, 19438, 568, 513, 2518, 14951, 609, 26080, 8733, 4644, 269, 898, 21269, 936, 476, 4335, 2929, 14143, 543, 568, 1753, 547, 513, 3638, 13795, 540, 1272, 267, 1519, 3875, 13155, 2249, 899, 519, 4104, 17707, 543, 7823, 27580, 8759, 269, 5047, 267, 519, 16935, 8637, 606, 10373, 2179, 540, 3327, 538, 922, 4054, 267, 4543, 11574, 2916, 1689, 676, 21716, 5318, 5666, 540, 3327, 8166, 563, 2690, 519, 4070, 2872, 267, 519, 22096, 19438, 814, 513, 811, 1463, 4644, 982, 835, 1522, 7620, 1589, 269, 2755, 4070, 5097, 25856, 1472, 4683, 2127, 267, 519, 2872, 568, 5702, 13615, 547, 519, 2326, 13939, 543, 9268, 689, 2067, 2200, 269, 634, 22096, 19438, 3091, 3407, 2200, 267, 971, 607, 16025, 543, 6886, 267, 799, 616, 1898, 585, 4070, 3785, 5001, 563, 1320, 805, 338, 547, 519, 22096, 19438, 454, 3080, 540, 519, 1034, 10296, 6937, 547, 519, 22096, 19438, 568, 17717, 269, 634, 10868, 540, 16025, 543, 519, 7269, 540, 6694, 2238, 267, 1419, 10363, 543, 796, 29970, 267, 723, 3366, 547, 7372, 2127, 540, 519, 22986, 1373, 23498, 269, 667, 4078, 23667, 711, 1152, 30001, 4105, 7226, 585, 7320, 855, 849, 13847, 1804, 5666, 540, 6740, 3327, 883, 519, 5790, 267, 12615, 908, 2916, 1689, 563, 2690, 519, 4070, 2872, 267, 17717, 666, 2047, 1764, 519, 8244, 543, 1942, 540, 16025, 267, 799, 568, 513, 4909, 2679, 1570, 269, 24296, 20980, 19883, 2853, 543, 10363, 4123, 538, 16025, 666, 1291, 547, 15088, 538, 3761, 267, 2362, 5777, 267, 543, 4145, 827, 519, 2825, 6940, 540, 4070, 2326, 563, 763, 22096, 19438, 6411, 607, 513, 1713, 3327, 16173, 267, 13830, 543, 13936, 3327, 8166, 689, 519, 5790, 269, 1717, 267, 519, 2810, 2157, 540, 3327, 5434, 689, 1472, 519, 1158, 616, 6117, 2916, 1689, 267, 799, 267, 538, 2490, 267, 5540, 519, 22096, 19438, 269, 634, 3148, 568, 7680, 811, 7928, 26221, 543, 20437, 4365, 3270, 267, 8380, 3606, 2566, 593, 519, 4104, 5117, 563, 20458, 1689, 13514, 513, 1079, 19507, 4161, 547, 519, 4070, 2872, 269, 17616, 267, 3665, 4365, 2621, 543, 8375, 5210, 666, 1860, 4070, 4609, 267, 1818, 960, 811, 4101, 543, 5732, 2810, 3790, 269, 19627, 267, 519, 2872, 568, 896, 2810, 2604, 547, 9772, 811, 4264, 2853, 543, 2569, 922, 3327, 11640, 267, 799, 2882, 27126, 2326, 689, 7733, 602, 616, 7307, 30396, 563, 2026, 519, 22096, 19438, 568, 7930, 9927, 676, 1480, 2238, 267, 519, 7226, 540, 9118, 2249, 568, 10032, 610, 27929, 269, 901, 2530, 540, 7226, 13514, 513, 4049, 3463, 547, 9265, 543, 949, 1291, 547, 519, 14486, 540, 1082, 2189, 543, 13155, 2249, 563, 763, 4070, 2872, 568, 4742, 811, 3222, 540, 519, 991, 585, 4264, 2853, 267, 711, 1152, 538, 519, 2326, 621, 3096, 855, 849, 538, 519, 1374, 543, 4070, 540, 5656, 269, 3509, 4070, 3549, 616, 1631, 2921, 3268, 547, 11574, 741, 1764, 593, 2199, 8134, 267, 3226, 950, 2324, 538, 6213, 5054, 563, 296, 331, 29729, 19883, 568, 19856, 656, 538, 519, 22096, 19438, 267, 9141, 676, 519, 3747, 585, 16025, 2472, 269, 1452, 2238, 616, 1419, 2404, 609, 13313, 267, 6896, 6760, 267, 543, 513, 3668, 540, 11268, 540, 2825, 6042, 563, 763, 4070, 2872, 779, 3761, 5832, 666, 581, 18549, 12936, 676, 10363, 19883, 267, 607, 519, 946, 540, 28302, 16025, 666, 1291, 547, 3656, 8374, 543, 8088, 1049, 3441, 585, 3549, 3238, 269, 23496, 602, 16025, 1031, 538, 4070, 568, 30396, 21433, 543, 16155, 5833, 814, 1831, 513, 2565, 6161, 585, 519, 2872, 563, 3412, 4124, 585, 519, 14716, 12752, 454, 763, 4070, 2872, 8185, 12346, 593, 2067, 2200, 267, 543, 519, 22096, 19438, 2488, 3407, 4070, 2326, 971, 607, 16025, 543, 6886, 269, 2060, 519, 2810, 6937, 547, 519, 16935, 267, 4070, 3549, 949, 3068, 2591, 538, 27126, 891, 2326, 30396, 543, 28761, 269, 898, 568, 2629, 585, 519, 2872, 547, 2263, 4244, 2326, 610, 1902, 538, 4264, 19883, 2853, 547, 2327, 513, 5812, 3761, 540, 2200, 563, 20245, 6042, 723, 1044, 9395, 2287, 1472, 519, 1158, 267, 543, 519, 4070, 2872, 568, 1100, 9868, 269, 634, 22930, 540, 2067, 2200, 543, 519, 2825, 12159, 3361, 676, 10363, 543, 5667, 20980, 2853, 666, 1291, 547, 31749, 6042, 593, 1570, 27126, 543, 4070, 2409, 269, 14992, 602, 1491, 14942, 3268, 547, 7413, 741, 1764, 593, 519, 1604, 786, 581, 1732, 17479, 547, 2743, 891, 9687, 4170, 563, 306, 20980, 14716, 13756, 454, 1103, 3210, 547, 519, 6937, 547, 2067, 5054, 899, 519, 22096, 19438, 267, 519, 4070, 2872, 568, 5051, 12561, 4264, 2853, 269, 901, 2882, 1210, 3039, 2679, 2326, 267, 4227, 3653, 267, 543, 8888, 5656, 602, 616, 811, 1648, 18026, 269, 12655, 4070, 711, 1152, 2640, 519, 1604, 855, 849, 20383, 609, 519, 3395, 3747, 585, 10357, 7888, 5656, 543, 5989, 563, 6624, 4070, 3549, 616, 9301, 519, 2956, 540, 9746, 1514, 5539, 630, 5425, 305, 264, 543, 6940, 269, 9861, 2404, 609, 10363, 19883, 610, 2825, 12159, 666, 3441, 513, 2754, 779, 10639, 543, 1860, 922, 5377, 1899 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 281, 4197, 20351, 18112, 550, 566, 910, 898, 781, 2353, 6168, 11146, 2439, 7072, 912, 5970, 596, 2479, 9289, 1946, 930, 1004, 899, 29877, 4672, 8645, 1247, 1866, 4782, 10217, 286, 2107, 6148, 1946, 707, 3659, 21593, 4730, 13558, 267, 855, 596, 1131, 2864, 1224, 513, 1433, 286, 3807, 899, 972, 616, 1082, 10366, 540, 4672, 8645, 543, 12348, 547, 2972, 267, 972, 616, 849, 1114, 2081, 602, 1004, 666, 2648, 1142, 824, 269, 4653, 649, 786, 1451, 827, 4638, 10066, 1107, 1018, 621, 1797, 543, 1946, 621, 6927, 269, 1924, 10544, 513, 14609, 344, 543, 1577, 781, 4685, 883, 713, 6653, 3408, 1927, 2439, 4089, 476, 272, 281, 1548, 1772, 20351, 18112, 550, 566, 2496, 5331, 952, 3025, 1185, 547, 3548, 519, 1482, 8137, 540, 4672, 8645, 1169, 1554, 282, 9327, 1405, 602, 581, 19309, 286, 24664, 1176, 267, 1272, 3091, 721, 1585, 3681, 1317, 649, 782, 723, 2189, 7375, 269, 6684, 267, 950, 621, 2501, 547, 11509, 4606, 543, 18845, 2509, 1866, 267, 1004, 849, 723, 3982, 7375, 269, 1452, 4606, 949, 10709, 811, 4724, 1004, 945, 2697, 607, 519, 1482, 4008, 630, 3697, 1079, 6690, 6010, 532, 1142, 824, 1070, 1776, 4008, 630, 7945, 607, 513, 7911, 6010, 532, 513, 8004, 1070, 610, 1256, 2789, 25469, 630, 1721, 1383, 267, 2576, 6010, 532, 1312, 8695, 543, 6690, 1040, 1284, 1289, 891, 3270, 540, 16007, 968, 25757, 31223, 14325, 2467, 616, 1614, 1292, 6688, 540, 4638, 31223, 281, 2786, 630, 528, 10636, 18400, 1070, 14447, 630, 528, 28305, 1070, 543, 25251, 269, 2913, 781, 2736, 1524, 1018, 1142, 835, 1797, 1384, 265, 18135, 697, 630, 515, 614, 18400, 2567, 1879, 513, 1268, 7959, 6535, 656, 1227, 543, 9308, 13631, 5631, 547, 2043, 540, 513, 1114, 4008, 982, 2933, 269, 1280, 3236, 267, 513, 7911, 1373, 6537, 547, 513, 8004, 563, 265, 22985, 630, 327, 558, 18400, 2567, 1879, 513, 1268, 814, 2178, 3929, 267, 11509, 267, 543, 2168, 4606, 5097, 585, 1346, 945, 2671, 741, 1378, 4008, 3961, 269, 2871, 903, 945, 1745, 713, 1259, 616, 1419, 1572, 968, 326, 599, 2367, 2223, 543, 21031, 1522, 946, 2474, 971, 607, 968, 956, 15487, 892, 610, 968, 326, 599, 2021, 3034, 265, 645, 21361, 281, 4658, 945, 1995, 11509, 543, 2168, 16007, 547, 811, 982, 835, 4008, 269, 1358, 666, 2887, 538, 2648, 609, 11570, 540, 1022, 4008, 780, 8855, 267, 1175, 899, 938, 5172, 4672, 8645, 3085, 1405, 5581, 721, 4625, 267, 9444, 1281, 938, 4638, 10066, 269, 1703, 781, 865, 1454, 811, 547, 945, 649, 616, 256, 1656, 7058, 1018, 286, 2368, 1004, 1810, 1405, 1995, 11509, 610, 4638, 16007, 693, 782, 267, 799, 5012, 721, 547, 938, 1985, 3296, 13718, 4089, 476, 273, 281, 589, 576, 543, 589, 549, 18877, 692, 25603, 5981, 267, 945, 14560, 16945, 1071, 7539, 267, 4604, 3756, 267, 543, 16304, 856, 609, 2828, 269, 1809, 950, 621, 2501, 547, 15832, 543, 5880, 1127, 267, 5981, 3085, 1405, 2731, 1174, 1018, 782, 519, 535, 1380, 568, 827, 269, 2334, 781, 9985, 15502, 256, 1411, 1294, 267, 930, 1004, 3274, 798, 711, 1995, 11509, 610, 4638, 16007, 267, 1100, 2339, 741, 2085, 610, 4282, 269, 8409, 945, 9305, 1447, 547, 11509, 4606, 616, 1634, 607, 12906, 4842, 630, 541, 657, 1070, 543, 1346, 945, 5749, 1405, 5461, 538, 3023, 616, 1572, 513, 25757, 630, 2167, 1040, 6884, 267, 1004, 666, 4866, 547, 1312, 2950, 543, 2697, 607, 513, 4592, 29347, 610, 513, 576, 8552, 780, 20694, 568, 851, 540, 519, 513, 25757, 2146, 2094, 789, 1810, 1405, 1745, 4638, 16007, 269, 1717, 267, 3314, 602, 1373, 513, 25757, 3085, 1405, 1611, 2348, 4642, 1719, 538, 3347, 269, 3509, 513, 806, 1869, 1616, 2673, 4296, 609, 1866, 1765, 3286, 14263, 519, 4638, 2460, 269, 19452, 267, 513, 4592, 1522, 7287, 31070, 610, 11505, 3079, 540, 15832, 269, 3962, 1367, 568, 2189, 2439, 4089, 476, 274, 281, 4208, 6496, 20351, 18112, 550, 566, 17460, 2496, 3086, 602, 649, 917, 827, 4638, 31223, 267, 596, 1522, 4898, 1946, 1620, 873, 568, 1271, 269, 4270, 267, 4952, 4743, 7142, 547, 1152, 3442, 1063, 10217, 543, 12450, 9440, 4672, 8645, 950, 972, 616, 865, 1082, 824, 8949, 10366, 2139, 256, 1635, 9301, 543, 14120, 1114, 4638, 31223, 267, 649, 2327, 602, 3025, 4991, 547, 521, 2948, 741, 9053, 1412, 4148, 822, 832, 9538, 20504, 766, 2337, 1628, 2186, 518, 267, 811, 28450, 7239, 1141, 3025, 666, 2661, 25747, 2687, 547, 741, 3020, 30441, 780, 6962, 1384, 9213, 267, 649, 8268, 519, 4241, 1158, 540, 4638, 31223, 998, 17705, 13000, 543, 1187, 16198, 269, 5457, 267, 2436, 2576, 15055, 29877, 267, 10217, 267, 22774, 521, 615, 321, 564, 267, 610, 1945, 3116, 7357, 267, 15962, 543, 16561, 6000, 543, 1866, 2306, 1272, 4418, 2678, 585, 3025, 256, 0, 2080, 568, 606, 1349, 689, 513, 2546, 912, 24281, 2424, 543, 4763, 1369, 2564, 2069, 281, 513, 1445, 1895, 1353, 540, 1053, 685, 2833, 454, 289, 10157, 6481, 4065, 4320, 476, 2537, 267, 9137, 1297, 281, 476, 8618, 630, 1708, 274, 994, 2026, 3461, 5095, 1831, 811, 3309, 267, 621, 568, 16122, 602, 2104, 13500, 4309, 1697, 2866, 538, 1931, 547, 1683, 519, 1655, 2298, 540, 1416, 269, 901, 1353, 12116, 2564, 1053, 262, 11994, 540, 875, 5423, 789, 616, 538, 7231, 609, 513, 3309, 2551, 543, 2708, 525, 875, 3769, 543, 6462, 519, 1053, 5433, 1282, 741, 2090, 563, 19177, 10859, 3613, 19099, 1445, 2516, 941, 4371, 609, 2564, 1053, 2066, 782, 1296, 540, 519, 2564, 1353, 1982, 540, 513, 10656, 6280, 269, 10312, 1895, 31286, 941, 9916, 873, 5597, 563, 10743, 685, 2833, 1223, 581, 19040, 607, 5205, 281, 630, 272, 264, 630, 14737, 528, 640, 264, 9163, 543, 2123, 18144, 267, 630, 273, 264, 4197, 540, 4763, 543, 606, 8537, 1565, 1604, 267, 630, 274, 264, 16844, 538, 2069, 267, 630, 275, 264, 23800, 540, 17181, 267, 630, 276, 264, 23800, 540, 10014, 267, 543, 630, 277, 264, 19768, 540, 4656, 269, 634, 1883, 4681, 689, 3010, 2237, 606, 2502, 543, 3015, 1576, 1770, 538, 513, 1837, 585, 1647, 1153, 1053, 1644, 547, 519, 1349, 1657, 267, 2519, 593, 834, 29189, 783, 18112, 550, 566, 257, 607, 851, 540, 834, 25787, 1315, 13834, 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, 898, 729, 513, 669, 11035, 5162, 10543, 267, 543, 594, 1336, 8885, 29957, 998, 513, 23749, 8142, 827, 12719, 519, 5506, 540, 6117, 9108, 593, 476, 5390, 9897, 269, 1306, 606, 11653, 676, 4123, 543, 513, 31851, 27423, 693, 2295, 267, 1250, 2247, 3323, 627, 26325, 609, 2338, 543, 4834, 269, 9741, 1705, 594, 917, 267, 891, 9273, 1131, 4166, 1831, 4143, 547, 803, 780, 2026, 594, 5018, 4505, 267, 594, 993, 851, 540, 513, 2199, 16945, 3541, 2421, 2319, 1572, 519, 834, 293, 15543, 539, 674, 523, 5414, 674, 3753, 1701, 8786, 267, 596, 1224, 602, 7157, 910, 16945, 3541, 2421, 256, 1284, 1404, 593, 22712, 16945, 1236, 919, 543, 14526, 1996, 824, 6887, 1247, 10188, 998, 513, 3950, 269, 16514, 513, 3575, 1063, 3432, 1236, 908, 543, 32702, 267, 855, 782, 1657, 14743, 256, 3776, 2853, 941, 4371, 538, 606, 2025, 23999, 1141, 519, 6989, 1185, 1044, 10736, 883, 513, 678, 1074, 267, 543, 938, 10742, 3576, 1747, 538, 1585, 18883, 7740, 1472, 4884, 780, 1607, 1880, 3781, 267, 1310, 3108, 540, 8026, 795, 4461, 543, 7161, 267, 835, 540, 1250, 8284, 674, 1722, 2818, 6700, 649, 10544, 930, 10425, 1927, 1354, 10912, 621, 513, 1554, 269, 9861, 513, 11280, 9920, 267, 594, 6035, 547, 1491, 873, 1753, 2094, 741, 8075, 14201, 1405, 1932, 2484, 689, 9553, 269, 1717, 267, 950, 10992, 519, 4365, 9472, 267, 594, 7691, 602, 5210, 1185, 12628, 3648, 1282, 2259, 1107, 649, 4682, 689, 7646, 569, 4411, 2175, 547, 513, 5642, 7302, 3739, 476, 279, 13790, 3544, 269, 22582, 267, 519, 23749, 8142, 594, 1185, 1350, 2331, 936, 3357, 678, 5241, 1394, 883, 3965, 269, 12984, 621, 2731, 8797, 585, 721, 547, 5734, 519, 4155, 2496, 28274, 1018, 594, 4121, 689, 519, 23749, 4901, 267, 594, 7229, 519, 10171, 540, 2348, 513, 4049, 8009, 1813, 547, 476, 6005, 1384, 265, 18323, 281, 476, 279, 5232, 454, 265, 3733, 8458, 540, 1373, 3238, 538, 513, 3978, 8009, 952, 594, 22755, 941, 6697, 547, 476, 2190, 9077, 1759, 593, 519, 3177, 4542, 780, 296, 11432, 1229, 875, 1655, 547, 2671, 713, 796, 3553, 339, 1782, 3377, 1510, 14927, 2287, 3025, 781, 14326, 269, 2991, 782, 267, 3106, 1590, 2097, 1101, 267, 1256, 952, 621, 5921, 27531, 930, 1187, 9522, 697, 269, 1924, 267, 594, 10356, 1250, 2828, 543, 13264, 621, 1524, 9900, 267, 7713, 519, 2979, 3297, 621, 543, 11589, 6161, 585, 741, 8171, 269, 2311, 1101, 267, 789, 561, 13774, 1117, 6179, 3585, 267, 3206, 594, 1522, 581, 21179, 908, 610, 17444, 741, 7953, 269, 1809, 2899, 789, 4718, 519, 2338, 2933, 267, 4641, 3459, 29855, 538, 780, 1103, 3020, 16945, 3541, 2421, 6891, 267, 1498, 267, 3079, 540, 13151, 17741, 547, 21817, 267, 649, 4956, 547, 2490, 1919, 1472, 21176, 269, 2060, 513, 2656, 1289, 547, 513, 7404, 3454, 328, 2754, 267, 649, 11231, 6283, 585, 6000, 1247, 4180, 519, 10256, 6956, 938, 2189, 32252, 3512, 543, 922, 23473, 269, 2755, 7996, 267, 649, 1500, 946, 540, 519, 3063, 942, 23730, 2081, 547, 6451, 938, 1995, 883, 2104, 2866, 7886, 1107, 5310, 1138, 6819, 31868, 2044, 7252, 1369, 519, 678, 1074, 1223, 948, 2087, 3666, 543, 16846, 525, 2496, 4517, 865, 267, 5103, 6849, 606, 6397, 21677, 267, 649, 7307, 547, 2981, 621, 883, 1945, 11327, 543, 22541, 938, 6125, 607, 513, 2319, 538, 519, 1184, 269, 769, 12042, 338, 697, 267, 713, 27644, 10071, 12006, 519, 2956, 540, 28858, 543, 13916, 1312, 593, 543, 1055, 519, 678, 1074, 269, 1656, 945, 6487, 286, 9320, 1985, 4005, 267, 938, 4824, 1983, 786, 1291, 721, 2786, 547, 11802, 256, 19402, 1287, 267, 3251, 3636, 267, 15210, 3988, 267, 543, 3314, 602, 3006, 1272, 25001, 7455, 27750, 707, 1259, 267, 855, 621, 781, 909, 547, 596, 547, 1118, 519, 1034, 856, 540, 873, 269, 0, 2237, 513, 1483, 3734, 1650, 3838, 676, 2576, 538, 513, 14703, 8468, 269, 634, 1650, 1058, 581, 11214, 1644, 547, 713, 1257, 6256, 281, 3097, 2108, 2304, 22448, 568, 3843, 547, 4137, 856, 2436, 621, 781, 2922, 547, 5397, 1200, 14903, 269, 1280, 1169, 476, 274, 5232, 519, 2837, 12772, 2630, 476, 3953, 5232, 267, 7788, 773, 781, 8458, 540, 1236, 27570, 593, 4672, 2333, 1535, 10065, 1403, 1352, 4422, 883, 513, 1236, 573, 267, 1352, 814, 513, 476, 2412, 260, 540, 1036, 8724, 1852, 269, 19227, 267, 1352, 3513, 723, 513, 3978, 8009, 269, 1403, 519, 2837, 568, 476, 279, 5232, 267, 634, 6871, 4960, 540, 7788, 773, 3478, 883, 513, 3978, 8009, 952, 1352, 11479, 568, 476, 2190, 563, 2414, 4194, 713, 1966, 267, 649, 991, 547, 3313, 519, 1871, 540, 1535, 267, 799, 4564, 519, 2333, 538, 7788, 773, 781, 8458, 540, 1236, 27570, 593, 4672, 585, 1169, 476, 274, 5232, 519, 2837, 12772, 2630, 476, 3953, 5232, 563, 4131, 781, 2736, 1524, 519, 1344, 2016, 912, 307, 17687, 281, 476, 279, 5232, 454, 8110, 1417, 720, 4960, 540, 3978, 8009, 952, 7788, 773, 11479, 281, 476, 2190, 14999, 8110, 1417, 720, 4960, 540, 1036, 8724, 1852, 952, 7788, 773, 4422, 883, 513, 1236, 573, 281, 476, 2412, 14999, 2171, 666, 1305, 909, 519, 3830, 607, 5205, 912, 8110, 1417, 720, 4960, 540, 3978, 8009, 815, 20587, 720, 4960, 540, 1236, 27570, 593, 4672, 2608, 20587, 720, 4960, 540, 711, 1036, 8724, 1852, 454, 2190, 260, 815, 630, 343, 260, 2608, 7089, 540, 476, 274, 24266, 11996, 2630, 476, 3953, 5232, 264, 2608, 630, 10640, 763, 1650, 1058, 1331, 281, 3097, 268, 18990, 4690, 610, 9644, 281, 4685, 883, 1808, 12348, 267, 4690, 267, 610, 14973, 3871, 3097, 268, 1323, 6397, 4729, 6335, 610, 2502, 4655, 281, 6338, 513, 11541, 2943, 4101, 3510, 610, 14196, 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 ]
[ 0, 279, 6096, 1280, 15206, 454, 16829, 593, 4239, 476, 1789, 267, 476, 1001, 279, 676, 12756, 715, 2884, 334, 454, 279, 6096, 1280, 15206, 9625, 1934, 596, 616, 693, 938, 3135, 267, 713, 568, 2592, 827, 476, 279, 3211, 585, 9656, 11540, 676, 12756, 715, 2884, 334, 538, 7121, 593, 4239, 476, 1789, 267, 476, 1001, 279, 269, 1411, 666, 849, 1265, 824, 2592, 899, 9251, 4976, 267, 9656, 4976, 267, 1101, 3446, 4976, 267, 2034, 3446, 4976, 267, 3791, 3446, 4976, 267, 8772, 3446, 4976, 267, 11359, 3446, 4976, 267, 1647, 1153, 4976, 267, 1164, 1153, 4976, 269, 7490, 20801, 1524, 547, 2070, 811, 2592, 2483, 4537, 641, 13565, 8605, 6168, 476, 279, 6096, 1280, 15206, 454, 2080, 594, 1592, 930, 540, 1283, 711, 577, 476, 279, 3211, 585, 9656, 533, 923, 593, 4950, 269, 1284, 4362, 621, 689, 6325, 2707, 269, 898, 568, 3838, 676, 12756, 715, 2884, 334, 538, 519, 1655, 2361, 269, 1284, 1745, 713, 476, 279, 3211, 585, 9656, 4605, 666, 581, 519, 1034, 7678, 532, 13395, 950, 649, 3895, 621, 538, 24440, 7132, 610, 3068, 1504, 563, 2171, 3442, 547, 5189, 538, 713, 2376, 1317, 713, 949, 581, 835, 540, 8748, 4704, 585, 1022, 476, 279, 3211, 585, 9656, 4555, 269, 667, 2632, 596, 2097, 1934, 547, 3313, 930, 1007, 4195, 476, 279, 3211, 585, 9656, 2093, 286, 1284, 2731, 4126, 596, 666, 3398, 621, 607, 835, 540, 707, 4704, 543, 1082, 7064, 585, 707, 4674, 585, 13156, 938, 5816, 269, 7490, 15814, 713, 3239, 547, 707, 10475, 2828, 267, 3885, 267, 2146, 3842, 707, 1514, 2923, 971, 607, 3068, 1504, 267, 24440, 7132, 267, 1000, 7867, 267, 533, 15517, 267, 610, 1022, 824, 1514, 1433, 5658, 532, 4609, 563, 9616, 2433, 7102, 1543, 267, 22028, 4882, 267, 610, 824, 1570, 602, 949, 581, 1336, 593, 519, 7454, 5131, 15026, 6096, 3896, 602, 568, 711, 7454, 5131, 15026, 6096, 3959, 3788, 519, 10677, 540, 922, 9757, 8227, 4882, 269, 769, 1100, 1259, 1281, 7454, 5131, 15026, 6096, 3409, 9562, 610, 5539, 585, 971, 3688, 267, 543, 596, 1058, 3343, 3656, 9844, 585, 1022, 946, 540, 971, 2326, 689, 922, 8227, 563, 21292, 585, 476, 279, 6096, 1280, 15206, 10778, 16665, 24762, 540, 476, 279, 6096, 1280, 15206, 2433, 0, 8448, 2081, 547, 2161, 538, 3932, 281, 547, 2040, 909, 267, 538, 5758, 267, 547, 9959, 267, 538, 14656, 267, 6368, 267, 621, 949, 581, 11943, 547, 17412, 267, 782, 538, 782, 267, 538, 519, 1439, 269, 634, 3932, 540, 606, 1557, 610, 4633, 4016, 547, 519, 5220, 610, 9433, 476, 274, 264, 952, 2009, 267, 9959, 707, 4661, 538, 513, 1259, 602, 2306, 8763, 4030, 630, 3638, 731, 5493, 1067, 267, 2328, 538, 2511, 281, 513, 3391, 547, 1434, 7005, 267, 476, 273, 526, 1196, 269, 634, 1888, 4845, 543, 519, 1560, 1631, 6192, 267, 621, 3788, 1152, 547, 1439, 519, 5037, 713, 568, 12913, 998, 513, 25759, 4845, 267, 1898, 547, 519, 269, 9608, 3594, 9305, 15982, 4555, 543, 2833, 547, 519, 11878, 267, 513, 1434, 3932, 13847, 873, 689, 707, 1557, 781, 4278, 718, 609, 513, 9992, 24480, 269, 476, 274, 2395, 3516, 585, 1034, 3594, 267, 835, 1134, 31465, 5037, 568, 6190, 585, 513, 3932, 267, 4352, 538, 930, 2956, 540, 513, 1434, 3932, 519, 3932, 666, 581, 1141, 596, 4766, 875, 513, 5892, 4857, 7934, 538, 519, 3332, 563, 763, 1655, 1259, 547, 1451, 811, 827, 8753, 543, 5377, 3515, 568, 547, 1205, 1906, 24015, 2854, 1557, 3932, 1806, 610, 1224, 713, 2376, 547, 1265, 519, 269, 1215, 547, 9034, 1047, 267, 22950, 19189, 543, 946, 1463, 24185, 3314, 602, 1034, 31047, 786, 581, 827, 476, 1015, 260, 540, 519, 3803, 1557, 543, 786, 1331, 930, 610, 782, 269, 1215, 547, 2497, 606, 1557, 281, 9319, 3670, 12755, 538, 4574, 1888, 5220, 1603, 1055, 28175, 915, 17528, 547, 18783, 1843, 687, 606, 16283, 3932, 9849, 1153, 26977, 568, 13998, 1434, 585, 21738, 1164, 1153, 1053, 563, 29261, 267, 1281, 707, 2875, 991, 6351, 609, 1603, 513, 25759, 5037, 938, 3610, 666, 948, 1129, 909, 585, 2901, 938, 1647, 1153, 1557, 1603, 610, 269, 634, 1557, 3932, 5037, 281, 1913, 602, 786, 948, 596, 11168, 707, 2093, 2081, 547, 6336, 707, 5467, 568, 547, 946, 2453, 899, 267, 538, 3932, 267, 538, 5758, 267, 596, 1616, 547, 946, 1434, 5912, 1913, 267, 942, 1913, 267, 5311, 1913, 267, 1489, 269, 10390, 9433, 616, 827, 476, 276, 260, 540, 707, 1557, 2262, 1293, 630, 1122, 827, 621, 781, 513, 1434, 2856, 547, 1376, 707, 3932, 609, 27139, 1913, 630, 1122, 1412, 514, 4945, 610, 29964, 936, 519, 3932, 5037, 547, 1294, 606, 2079, 540, 922, 2497, 543, 875, 519, 563, 763, 3932, 32195, 519, 1557, 543, 13290, 547, 2673, 519, 3390, 1603, 519, 598, 743, 24175, 542, 865, 602, 596, 2285, 707, 5467, 513, 1434, 3803, 12705, 540, 707, 1557, 602, 596, 2322, 4464, 543, 5924, 513, 2489, 3948, 540, 875, 519, 2146, 786, 4324, 689, 269, 3371, 616, 2081, 547, 1589, 827, 519, 3483, 540, 513, 3932, 281, 723, 5340, 519, 1655, 6236, 519, 10252, 14670, 923, 540, 519, 476, 1626, 1489, 2798, 267, 607, 1134, 607, 27985, 269, 634, 3932, 2115, 547, 476, 272, 1964, 622, 519, 1957, 781, 1292, 2798, 476, 273, 2626, 519, 2243, 267, 968, 15367, 30128, 5608, 543, 476, 274, 25718, 543, 2250, 532, 707, 5098, 568, 711, 513, 1434, 2856, 269, 26402, 281, 946, 968, 1729, 602, 1439, 892, 610, 968, 1729, 713, 1439, 892, 538, 513, 2147, 1259, 547, 968, 514, 1931, 547, 892, 610, 1434, 3594, 2141, 1394, 909, 2798, 609, 1806, 267, 855, 621, 781, 2469, 547, 563, 3519, 7501, 616, 1419, 519, 1034, 2352, 851, 540, 606, 1557, 547, 2328, 267, 543, 1082, 5830, 1745, 707, 3932, 1058, 581, 519, 1655, 851, 540, 707, 1957, 1397, 873, 875, 519, 2798, 596, 1500, 543, 519, 1489, 543, 1806, 596, 1031, 269, 589, 5758, 1557, 1058, 581, 6896, 865, 602, 1866, 666, 1174, 519, 2707, 610, 6218, 707, 972, 568, 2688, 3320, 1100, 3932, 547, 513, 5758, 1557, 269, 6651, 547, 1603, 513, 2596, 1557, 2328, 519, 4367, 543, 3932, 707, 1557, 19330, 1152, 1079, 9433, 1631, 281, 519, 4367, 543, 519, 3932, 707, 4606, 827, 519, 1888, 1256, 606, 23278, 1774, 666, 1439, 707, 1557, 538, 513, 3730, 1259, 269, 1656, 519, 12705, 596, 1711, 538, 707, 3932, 786, 3337, 519, 12705, 602, 13978, 609, 6368, 267, 930, 5796, 593, 875, 711, 547, 1439, 606, 1557, 281, 952, 596, 4312, 27153, 3054, 538, 707, 1641, 267, 596, 1631, 917, 513, 1434, 4308, 811, 827, 621, 982, 596, 563, 2414, 12446, 693, 513, 1134, 23418, 9285, 3932, 519, 991, 547, 946, 971, 513, 891, 30852, 5031, 519, 1614, 2596, 2609, 540, 1434, 1557, 1603, 281, 11504, 5702, 547, 621, 666, 581, 513, 1259, 540, 1818, 513, 2603, 540, 3356, 3833, 3533, 621, 666, 581, 17173, 543, 269, 634, 5467, 1058, 581, 2111, 547, 2697, 519, 1883, 2798, 538, 513, 1257, 676, 2542, 519, 25759, 4845, 621, 781, 1655, 547, 1683, 1053, 609, 513, 1906, 1383, 5220, 269, 13575, 6340, 267, 513, 1434, 3932, 1058, 2626, 519, 2243, 968, 810, 513, 3932, 568, 2356, 835, 5037, 1279, 2705, 267, 538, 1279, 3594, 563, 26473, 2231, 606, 1620, 540, 875, 519, 1557, 1568, 267, 711, 1702, 7522, 513, 5098, 568, 519, 25759, 1448, 540, 519, 1899, 540, 14374, 12592, 1655, 2009, 1259, 269, 2659, 3932, 568, 707, 4316, 547, 16833, 909, 707, 1557, 538, 513, 22619, 344, 10189, 543, 1259, 547, 2638, 713, 20949, 1354, 621, 21219, 938, 1434, 15752, 543, 2182, 960, 269, 5149, 476, 272, 281, 4058, 707, 1557, 1770, 476, 273, 281, 1785, 1005, 9433, 1770, 476, 274, 281, 31047, 713, 3296, 12116, 519, 2081, 538, 799, 519, 25759, 5220, 540, 9433, 1247, 711, 782, 9433, 1331, 513, 25759, 4845, 267, 596, 1058, 2141, 269, 0, 5522, 622, 23033, 9582, 281, 6676, 23033, 9582, 267, 3069, 7231, 609, 519, 6384, 540, 3618, 781, 9018, 7387, 602, 19117, 3618, 9443, 676, 3246, 513, 7833, 2796, 585, 1620, 7823, 20671, 3157, 267, 22747, 267, 543, 16767, 607, 1134, 607, 519, 4720, 540, 3618, 781, 2627, 543, 18949, 532, 922, 2250, 17407, 543, 12084, 269, 634, 3069, 540, 6676, 23033, 9582, 729, 2919, 538, 519, 476, 3422, 271, 781, 543, 2829, 602, 519, 3618, 568, 7745, 883, 513, 1297, 540, 13346, 10824, 6676, 23033, 9582, 849, 2488, 20569, 609, 513, 3102, 3069, 540, 875, 519, 3618, 781, 12933, 7575, 269, 2598, 1842, 762, 10824, 910, 476, 3199, 28029, 1957, 10824, 267, 9341, 5428, 7727, 585, 12608, 6500, 267, 12899, 267, 12129, 267, 543, 18397, 267, 3214, 4332, 17058, 267, 4298, 4754, 543, 5017, 1374, 267, 476, 280, 1535, 476, 280, 6279, 676, 4544, 5774, 320, 1269, 14689, 280, 1269, 476, 1428, 476, 4200, 269, 5131, 1557, 281, 4881, 2212, 281, 6676, 23033, 9582, 1957, 6676, 23033, 9582, 1957, 6280, 540, 943, 14535, 1460, 6676, 23033, 9582, 1957, 16767, 267, 22747, 267, 10239, 543, 519, 269, 4197, 519, 6402, 1063, 1016, 2265, 532, 1793, 11274, 543, 5580, 13807, 622, 22636, 568, 513, 32618, 3804, 538, 519, 2361, 540, 23033, 9582, 1007, 476, 274, 323, 20381, 5311, 14404, 19973, 267, 25528, 1369, 519, 1942, 320, 678, 3821, 17688, 14003, 1788, 630, 322, 5142, 335, 264, 20381, 26190, 4320, 21369, 7013, 1942, 320, 678, 3821, 267, 22883, 3999, 18556, 958, 563, 306, 1460, 628, 3446, 6676, 23033, 9582, 476, 272, 3018, 3992, 4566, 543, 2238, 6676, 29684, 4783, 910, 6676, 23033, 9582, 630, 277, 264, 840, 2978, 2012, 519, 10824, 946, 707, 9345, 1413, 693, 269, 26121, 2212, 281, 6676, 23033, 9582, 1957, 6676, 23033, 9582, 1957, 6280, 540, 943, 14535, 1460, 6676, 23033, 9582, 1957, 16767, 267, 22747, 267, 10239, 543, 519, 3618, 781, 12933, 269, 17934, 23033, 9582, 568, 513, 3621, 3069, 799, 1353, 875, 519, 3618, 781, 10824, 616, 9141, 543, 8032, 676, 17027, 4229, 547, 1832, 873, 538, 3586, 3350, 519, 3069, 6941, 519, 1459, 6377, 29684, 2623, 540, 519, 3618, 267, 3226, 519, 2518, 3892, 540, 7823, 2679, 267, 13091, 2534, 563, 2005, 786, 29872, 596, 609, 1082, 2035, 538, 6676, 29684, 3069, 543, 3568, 513, 1808, 3296, 593, 12779, 558, 24599, 1143, 602, 786, 4217, 596, 538, 11264, 713, 2978, 513, 14610, 609, 513, 4699, 4336, 267, 513, 15513, 267, 513, 9498, 267, 543, 513, 6656, 540, 3113, 1957, 269, 17934, 23033, 9582, 6045, 713, 1382, 1957, 6676, 23033, 9582, 6045, 543, 824, 476, 5038, 267, 1822, 266, 2165, 4574, 267, 2852, 1557, 1806, 543, 1863, 3594, 616, 2139, 1631, 593, 2689, 612, 904, 1260, 269, 8355, 544, 1188, 20044, 773, 630, 613, 19398, 545, 626, 264, 7914, 547, 646, 5206, 519, 1101, 1957, 10747, 519, 6310, 693, 713, 1448, 646, 4956, 547, 1847, 2476, 689, 6676, 23033, 9582, 267, 7446, 563, 5522, 622, 23033, 9582, 1957, 6676, 23033, 9582, 2046, 5305, 1350, 326, 270, 13136, 562, 4912, 476, 1704, 267, 476, 1001, 275, 1577, 545, 807, 737, 9926, 321, 658, 29744, 1434, 12784, 1250, 2012, 568, 1577, 545, 807, 6960, 543, 607, 8689, 540, 13091, 23982, 585, 17485, 2587, 7062, 1775, 1131, 899, 547, 2232, 1857, 2069, 593, 13091, 23982, 269, 7348, 1557, 910, 6676, 23033, 9582, 1957, 1350, 326, 476, 13136, 689, 1350, 326, 476, 13136, 693, 6280, 540, 943, 14535, 1460, 4881, 2212, 281, 6676, 15067, 9582, 476, 272, 6676, 23033, 9582, 1350, 326, 270, 13136, 910, 2168, 20569, 27362, 476, 1839, 267, 476, 1001, 275, 1743, 782, 523, 18651, 629, 24147, 6676, 269, 3047, 267, 12933, 531, 10824, 267, 538, 513, 1957, 538, 2046, 538, 20569, 279, 267, 6960, 6676, 23033, 9582, 814, 2813, 12084, 543, 14593, 909, 7823, 9832, 269, 17934, 23033, 9582, 630, 5228, 519, 3735, 32204, 538, 513, 2487, 1957, 267, 621, 729, 6700, 602, 267, 593, 519, 824, 1688, 267, 621, 666, 3362, 581, 4767, 602, 1082, 10824, 616, 3001, 5087, 543, 269, 17934, 23033, 9582, 281, 1957, 13337, 3631, 6542, 24966, 609, 476, 274, 323, 3631, 543, 519, 1826, 540, 10465, 1142, 13337, 814, 563, 5522, 622, 29684, 10467, 2328, 513, 1957, 602, 1131, 1865, 1018, 519, 3618, 1131, 581, 899, 952, 649, 4769, 1405, 723, 6676, 23033, 9582, 476, 274, 9433, 630, 276, 268, 1015, 533, 1206, 264, 476, 1724, 2721, 269, 2598, 1842, 762, 10824, 910, 476, 3199, 28029, 1957, 10824, 267, 9341, 5428, 7727, 585, 12608, 6500 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1292, 14052, 0, 8999, 6831, 5995, 815, 2715, 271, 281, 271, 348, 1477, 567, 1477, 3698, 1297, 23544, 3799, 2567, 21506, 825, 15981, 14303, 5281, 519, 2040, 540, 519, 1101, 562, 2338, 18257, 21506, 825, 7682, 3799, 13843, 476, 271, 1070, 1412, 333, 1590, 581, 13843, 476, 271, 262, 1477, 24541, 825, 952, 562, 538, 2040, 6831, 5995, 6769, 1038, 2132, 2040, 6831, 5995, 19559, 15947, 825, 759, 815, 562, 1341, 1297, 23544, 3799, 268, 272, 3418, 825, 1948, 5410, 519, 1871, 547, 519, 21461, 1477, 825, 2040, 6831, 5995, 19559, 316, 815, 759, 1477, 825, 2132, 759, 1477, 16875, 1477, 604, 6449, 4067, 1029, 2652, 21507, 10852, 1029, 9166, 21506, 825, 689, 942, 527, 1104, 7033, 518, 21506, 825, 512, 815, 7033, 518, 3488, 15893, 23544, 263, 4968, 264, 3299, 1412, 5228, 6449, 10852, 1029, 1104, 1297, 23544, 20298, 825, 1820, 3488, 11742, 281, 22207, 512, 28333, 527, 28829, 0, 5897, 5814, 705, 322, 1477, 5814, 2712, 961, 756, 269, 27785, 1477, 5814, 2712, 961, 756, 269, 7528, 652, 24653, 5035, 12754, 32098, 6769, 825, 5727, 1477, 825, 16294, 519, 27727, 781, 8818, 23228, 825, 19321, 513, 4704, 547, 606, 1843, 799, 4564, 519, 25956, 528, 23228, 825, 5727, 5897, 825, 1219, 6449, 8181, 9191, 1345, 267, 791, 8029, 1038, 1582, 11519, 11069, 815, 791, 5897, 825, 1219, 1397, 318, 20880, 4311, 267, 2619, 8029, 1038, 1582, 11519, 11069, 8807, 21255, 9638, 987, 3418, 5897, 5035, 12754, 32098, 293, 564, 7815, 263, 5471, 659, 20199, 284, 29582, 269, 5723, 13967, 9508, 8029, 825, 5727, 1477, 825, 16294, 519, 8818, 630, 25363, 618, 528, 264, 585, 6388, 5049, 602, 948, 30321, 1543, 23228, 825, 5727, 1477, 24541, 825, 7711, 29582, 269, 629, 5724, 24709, 1477, 825, 1219, 30321, 9638, 987, 8029, 1038, 1780, 1477, 1363, 5897, 5035, 15745, 293, 564, 7815, 263, 4910, 1830, 32098, 293, 564, 7815, 8029, 825, 5727, 1477, 825, 25956, 519, 25956, 528, 8818, 543, 5581, 922, 6405, 1477, 825, 6388, 23228, 825, 5727, 1477, 24541, 825, 1219, 30321, 4311, 267, 2619, 8029, 1038, 1948, 2619, 568, 606, 15745, 1477, 1038, 556, 336, 815, 2712, 961, 756, 269, 7528, 652, 10611, 3225, 652, 9638, 987, 3418, 1038, 609, 2712, 961, 756, 269, 7528, 652, 269, 14766, 13449, 263, 516, 336, 264, 607, 3210, 6769, 2018, 952, 3210, 6983, 1712, 2652, 476, 1220, 6769, 3546, 519, 318, 2457, 815, 3210, 18667, 14052, 3546, 1820, 263, 1492, 318, 2457, 3418, 4449, 1363, 1477, 4449, 1477, 5035, 10871, 17572, 293, 564, 7815, 263, 4910, 1830, 32098, 293, 564, 7815, 8029, 825, 5727, 1477, 825, 25956, 519, 25956, 528, 8818, 543, 5581, 922, 6405, 1477, 825, 6388, 23228, 825, 5727, 5897, 825, 1219, 30321, 4311, 267, 2619, 8029, 1038, 1948, 2619, 568, 519, 3758, 12949, 547, 513, 1257, 3758, 1477, 1038, 609, 1930, 9638, 987, 264, 607, 535, 6769, 2018, 1820, 6600, 18667, 3890, 3418, 1363, 1477, 1038, 1477, 3698, 1292, 28399, 825, 29250, 6958, 564, 7815, 815, 15745, 293, 564, 7815, 14052, 825, 952, 864, 815, 12754, 32098, 263, 14766, 6958, 564, 7815, 3418, 825, 952, 864, 20481, 318, 20880, 3488, 10674, 2517, 7090, 3820, 262, 10142, 825, 1820, 3488, 13117, 2525, 8782, 3418, 24541, 825, 2199, 12028, 6958, 564, 7815, 815, 10871, 17572, 293, 564, 7815, 14052, 825, 952, 864, 815, 12754, 32098, 10857, 665, 2788, 338, 6958, 564, 7815, 3418, 825, 952, 864, 20481, 318, 20880, 3488, 12803, 17902, 262, 10142, 24541, 604, 6449, 4067, 1029, 2652, 26242, 10852, 1029, 257, 6769, 825, 1292, 31476, 672, 0, 785, 807, 284, 6358, 2891, 1432, 798, 596, 1616, 547, 798, 286, 315, 333, 314, 320, 316, 8999, 540, 1079, 2338, 14826, 314, 321, 316, 20123, 328, 680, 2109, 540, 1079, 2338, 14826, 314, 322, 316, 15965, 1707, 540, 1079, 2338, 14826, 314, 323, 316, 13765, 952, 707, 1297, 568, 1256, 610, 9642, 14826, 14826, 14744, 604, 15242, 2525, 257, 320, 257, 6769, 825, 1100, 272, 25507, 9272, 2891, 10938, 707, 1101, 1297, 476, 834, 17903, 825, 1100, 273, 25507, 9272, 2891, 10938, 707, 2034, 1297, 476, 834, 17903, 825, 524, 284, 7224, 272, 266, 7224, 273, 1477, 825, 1820, 3799, 334, 272, 2437, 266, 2580, 7224, 273, 2437, 284, 2580, 322, 3418, 604, 15242, 2525, 257, 321, 257, 6769, 825, 1100, 272, 815, 703, 9272, 2891, 10938, 707, 1101, 1297, 476, 834, 17903, 825, 1100, 273, 815, 703, 9272, 2891, 10938, 707, 2034, 1297, 476, 834, 17903, 825, 524, 815, 1100, 272, 265, 7224, 273, 1477, 825, 1820, 3799, 334, 272, 2437, 265, 2580, 7224, 273, 2437, 284, 2580, 322, 3418, 604, 15242, 2525, 257, 322, 257, 6769, 825, 1100, 272, 815, 703, 9272, 2891, 10938, 707, 1101, 1297, 476, 834, 17903, 825, 1100, 273, 815, 703, 9272, 2891, 10938, 707, 2034, 1297, 476, 834, 17903, 825, 524, 815, 1100, 272, 270, 7224, 273, 1477, 825, 1820, 3799, 334, 272, 2437, 270, 2580, 7224, 273, 2437, 284, 2580, 322, 3418, 604, 15242, 2652, 834, 323, 257, 6769, 1038, 1100, 272, 815, 703, 9272, 2891, 10938, 707, 1297, 476, 834, 17903, 1038, 524, 284, 7224, 272, 260, 273, 1477, 1038, 952, 524, 2525, 271, 6769, 2018, 1820, 3799, 334, 272, 2437, 529, 606, 1256, 1297, 1701, 3418, 1038, 3116, 6769, 2018, 1820, 3799, 334, 272, 2437, 529, 606, 9642, 1297, 14744, 12828, 6769, 825, 1820, 2891, 8923, 2824, 835, 540, 519, 2016, 4238, 1701, 10142, 2745, 2891, 14188, 596, 1701, 264, 0, 5035, 20907, 281, 1948, 1362, 6578, 814, 1044, 2813, 22562, 825, 1219, 6449, 8181, 9191, 1345, 267, 7121, 2567, 1948, 30976, 6500, 602, 666, 581, 1031, 547, 8216, 5573, 3615, 269, 713, 568, 519, 2332, 1505, 454, 1038, 1582, 6983, 14394, 815, 7121, 454, 1038, 1582, 6155, 520, 15390, 815, 1496, 454, 13872, 1038, 476, 6540, 825, 1219, 16005, 4311, 267, 2179, 267, 6609, 2187, 1038, 1582, 6155, 520, 15390, 269, 1952, 12323, 8443, 26920, 267, 6609, 8079, 3097, 1038, 5727, 1607, 568, 513, 16005, 1505, 602, 24693, 606, 2179, 543, 6609, 1287, 8637, 538, 519, 6538, 22562, 1038, 8173, 8931, 825, 1219, 15639, 4311, 267, 2179, 267, 6609, 2187, 1038, 952, 4311, 269, 13765, 325, 1495, 338, 630, 26920, 15892, 2018, 1582, 6155, 520, 15390, 6910, 8443, 26920, 267, 6609, 7481, 2018, 2132, 6936, 3097, 1038, 2132, 8771, 692, 825, 1219, 1205, 25270, 4311, 2187, 1038, 2698, 815, 476, 271, 454, 1038, 585, 6221, 538, 1582, 6155, 520, 15390, 912, 2018, 2698, 815, 2698, 476, 1341, 6221, 1496, 271, 2639, 1038, 2132, 2698, 8528, 825, 1219, 4483, 4311, 267, 2179, 267, 7121, 2187, 1038, 952, 630, 1345, 269, 13765, 325, 1495, 338, 263, 26920, 15892, 2018, 1582, 269, 5976, 9526, 263, 26920, 267, 834, 9558, 2536, 547, 257, 1341, 7121, 6983, 14394, 994, 2018, 7121, 6155, 788, 21627, 263, 26920, 267, 834, 10520, 2536, 689, 257, 1341, 1582, 6983, 14394, 994, 2018, 2132, 6936, 454, 1038, 2132, 8771, 454, 825, 1219, 2638, 325, 1495, 338, 4311, 267, 2179, 2187, 1038, 8173, 1038, 2638, 325, 1495, 338, 1505, 934, 14186, 606, 2179, 607, 606, 8044, 618, 269, 621, 2132, 7301, 952, 519, 2179, 568, 3152, 982, 519, 3666, 540, 519, 6578, 454, 1038, 7121, 543, 7024, 3020, 6382, 269, 713, 1505, 1058, 581, 1031, 676, 1312, 519, 15639, 1505, 543, 4483, 1505, 454, 1038, 8173, 1038, 952, 630, 1345, 10947, 25270, 3890, 285, 284, 26920, 2187, 2018, 2132, 6936, 454, 1038, 2132, 8771, 3097, 825, 0, 5814, 942, 454, 3698, 2040, 5334, 336, 16868, 2187, 825, 1775, 815, 476, 271, 454, 825, 585, 6221, 538, 678, 912, 1038, 1775, 6834, 6221, 265, 14403, 454, 825, 2132, 1775, 692, 3698, 13483, 23544, 16868, 2187, 825, 1775, 815, 476, 271, 454, 825, 585, 6221, 538, 678, 912, 1038, 1775, 6834, 6221, 454, 825, 2132, 1775, 265, 328, 692, 11034, 815, 942, 28333, 4590, 331, 815, 2039, 263, 272, 267, 6200, 994, 2745, 1193, 10857, 994, 2745, 834, 4910, 738, 281, 834, 1341, 1193, 4433, 336, 23544, 10857, 9984, 8999, 5334, 336, 10857, 4917, 2745, 834, 11742, 281, 834, 1341, 630, 1598, 263, 5503, 28333, 3890, 268, 11034, 4917 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 17028, 16587, 855, 24469, 4941, 568, 9935, 519, 13409, 610, 8069, 1757, 894, 8069, 4646, 585, 11213, 10260, 689, 269, 0, 763, 4826, 31846, 543, 4975, 7412, 13462, 4826, 31846, 16749, 6728, 609, 7813, 538, 519, 4975, 540, 5507, 269, 2060, 1079, 10473, 543, 1100, 13515, 538, 1063, 267, 621, 568, 519, 1034, 3608, 1899, 593, 519, 3060, 538, 2474, 540, 942, 4503, 998, 17522, 563, 9558, 1636, 585, 5507, 3800, 17799, 538, 1018, 621, 7125, 23452, 21436, 25980, 630, 299, 6224, 1040, 1452, 616, 7229, 676, 14921, 519, 17799, 538, 3764, 676, 519, 1297, 540, 15915, 269, 570, 325, 299, 5638, 782, 17799, 936, 476, 273, 3764, 269, 898, 3096, 519, 2883, 1032, 689, 4989, 547, 4728, 543, 10943, 1080, 519, 1032, 538, 476, 1724, 3160, 5712, 585, 2773, 6482, 563, 10574, 538, 519, 5507, 26789, 13437, 1325, 2006, 659, 585, 519, 2063, 2407, 1032, 2982, 972, 729, 606, 3328, 540, 476, 1321, 267, 27183, 23452, 21436, 25980, 829, 1974, 593, 519, 4826, 31846, 543, 4975, 7412, 269, 901, 568, 519, 1655, 2773, 593, 519, 3060, 563, 2026, 519, 5750, 2982, 267, 609, 1906, 824, 2152, 547, 25077, 609, 267, 9678, 10880, 2962, 568, 3743, 585, 513, 1360, 1164, 8167, 540, 519, 4503, 3108, 563, 763, 4826, 31846, 543, 4975, 7412, 568, 519, 20125, 1899, 21409, 476, 272, 269, 5325, 5195, 538, 476, 275, 3764, 269, 898, 11438, 7864, 15915, 982, 1022, 824, 570, 4209, 1899, 269, 898, 729, 1634, 676, 922, 15915, 607, 968, 763, 667, 1778, 5608, 2009, 1813, 547, 519, 694, 788, 720, 540, 1216, 883, 519, 25310, 269, 0, 763, 1297, 540, 5068, 3653, 538, 2475, 26071, 568, 2810, 676, 519, 8792, 269, 3245, 1447, 982, 476, 272, 260, 538, 519, 476, 3422, 271, 338, 267, 519, 6871, 540, 5068, 3653, 568, 909, 547, 476, 1321, 260, 538, 476, 1220, 279, 543, 568, 3395, 1032, 1310, 1032, 269, 1306, 519, 2504, 543, 946, 540, 5068, 2333, 12422, 267, 519, 991, 585, 9657, 568, 593, 519, 4473, 607, 1134, 563, 5522, 2880, 2326, 971, 607, 27946, 14569, 610, 772, 11901, 290, 9657, 1107, 513, 3028, 3177, 676, 10909, 971, 607, 700, 298, 300, 1107, 616, 2556, 547, 2149, 519, 1604, 563, 2080, 616, 519, 2185, 2640, 540, 5068, 9657, 563, 305, 1430, 982, 6721, 20424, 15229, 267, 2870, 1007, 2326, 689, 4540, 2326, 3096, 1447, 1648, 269, 769, 1249, 267, 2687, 547, 519, 7025, 10466, 10837, 267, 596, 666, 18359, 930, 476, 1321, 267, 7785, 918, 297, 540, 1648, 950, 596, 22120, 513, 11013, 540, 27946, 630, 28139, 26120, 570, 699, 20953, 622, 264, 11480, 563, 13295, 267, 9657, 3096, 1447, 1648, 982, 2757, 5068, 2504, 563, 4692, 596, 1175, 4952, 519, 1297, 540, 3653, 602, 568, 11423, 519, 26071, 286, 772, 11901, 290, 9657, 610, 1022, 824, 2326, 948, 538, 25137, 519, 25087, 2230, 269, 5502, 540, 15229, 1373, 16207, 538, 1022, 824, 4025, 267, 543, 3542, 5024, 519, 3037, 543, 1216, 267, 9657, 2636, 873, 547, 581, 14475, 883, 1007, 2472, 563, 3725, 19464, 835, 9522, 928, 540, 5068, 17990, 476, 278, 269, 275, 12945, 18126, 540, 25087, 2230, 1107, 799, 666, 13918, 824, 27500, 22837, 563, 11854, 32496, 267, 3282, 568, 513, 1875, 3146, 2908, 762, 267, 543, 596, 666, 18359, 713, 2067, 4199, 998, 9657, 269, 1879, 596, 22120, 835, 9522, 928, 540, 5068, 2472, 267, 513, 2698, 476, 274, 269, 279, 29054, 540, 19020, 3282, 10929, 5726, 269, 3807, 4952, 519, 2179, 540, 2067, 2200, 24721, 8164, 596, 22120, 563, 24965, 1027, 5682, 5600, 2506, 2153, 454, 16675, 5264, 9362, 267, 971, 607, 3327, 24785, 267, 616, 3743, 547, 519, 2810, 1198, 540, 2518, 8337, 269, 769, 1249, 267, 5068, 5663, 3648, 8309, 547, 713, 1198, 269, 4935, 267, 607, 9657, 3096, 1447, 1648, 543, 8093, 10173, 267, 789, 849, 12520, 2539, 8511, 9362, 563, 763, 1447, 5068, 4422, 547, 3653, 267, 519, 14758, 519, 8458, 585, 621, 547, 3542, 1393, 519, 3037, 267, 1216, 267, 543, 824, 2127, 269, 898, 2337, 538, 9494, 519, 1604, 543, 4758, 3025, 513, 1732, 2298, 540, 1272, 269, 0, 305, 1157, 1115, 865, 541, 607, 1453, 3251, 16280, 281, 7089, 8995, 609, 2068, 22712, 745, 1255, 538, 2063, 4557, 1296, 454, 268, 1715, 5515, 689, 519, 23244, 1397, 972, 941, 476, 279, 3451, 6413, 23504, 454, 268, 14210, 1296, 4505, 519, 4137, 729, 1175, 476, 5002, 454, 268, 634, 2068, 267, 799, 3123, 28221, 7633, 543, 22775, 885, 267, 729, 1455, 538, 476, 866, 628, 2540, 6628, 454, 6124, 5515, 689, 519, 23244, 1397, 972, 941, 476, 279, 3451, 6413, 23504, 585, 1453, 7092, 689, 678, 1157, 1115, 454, 763, 1297, 540, 1453, 7092, 689, 678, 1157, 1115, 1107, 2899, 2404, 609, 16972, 6710, 1107, 568, 593, 519, 4473, 267, 609, 513, 2185, 19507, 2333, 538, 24412, 538, 519, 2063, 4557, 1296, 563, 6124, 5515, 689, 519, 23244, 1397, 972, 941, 476, 279, 3451, 6413, 23504, 585, 1453, 7092, 689, 519, 2783, 799, 568, 3361, 676, 513, 3668, 540, 12192, 667, 538, 519, 2883, 1032, 476, 1001, 273, 268, 1724, 563, 307, 523, 1296, 4505, 519, 4137, 729, 1175, 476, 5002, 563, 5278, 4966, 4250, 602, 3237, 18930, 532, 827, 7863, 741, 1453, 689, 7943, 267, 799, 25242, 519, 1560, 779, 1377, 540, 519, 1883, 6171, 267, 814, 3366, 547, 519, 4473, 563, 2005, 568, 849, 2219, 602, 1453, 7836, 811, 942, 16280, 593, 2780, 3756, 267, 811, 3237, 6117, 741, 3214, 547, 1153, 543, 7864, 1453, 2921, 13798, 6797, 3282, 29893, 723, 782, 8329, 547, 519, 4473, 563, 763, 2068, 267, 799, 3123, 28221, 7633, 543, 22775, 885, 267, 729, 1455, 538, 476, 866, 628, 2540, 6628, 855, 729, 782, 855, 530, 21317, 856, 676, 9283, 538, 6484, 563, 3086, 621, 568, 2219, 602, 513, 4250, 540, 24931, 2960, 2860, 1223, 581, 1818, 3237, 1932, 18762, 543, 581, 14356, 3743, 585, 519, 22705, 25973, 538, 25599, 1115, 563, 763, 1560, 7472, 6171, 667, 950, 621, 568, 6534, 547, 519, 3141, 543, 621, 666, 849, 581, 5833, 676, 4189, 3536, 971, 607, 522, 1176, 3165, 267, 5798, 543, 6797, 563, 294, 650, 1014, 23703, 10719, 267, 8689, 540, 476, 13199, 10791, 23790, 267, 543, 513, 22557, 17367, 585, 519, 3703, 10791, 2045, 5948, 267, 1767, 281, 2048, 2467, 616, 1896, 2188, 3238, 538, 519, 4473, 538, 678, 1157, 1115, 563, 8072, 2005, 729, 513, 1966, 2068, 538, 519, 476, 866, 628, 2540, 855, 513, 1297, 540, 1919, 1519, 2732, 609, 811, 10683, 543, 3940, 267, 1732, 1072, 543, 519, 4367, 540, 13798, 6797, 3282, 676, 519, 2229, 538, 24918, 267, 5280, 2569, 621, 547, 1360, 1507, 2338, 563, 8072, 3086, 621, 568, 593, 519, 4473, 1586, 14356, 1317, 540, 513, 1689, 538, 519, 2298, 540, 938, 2732, 543, 14356, 1317, 540, 938, 513, 11437, 547, 7943, 267, 799, 814, 1044, 3361, 676, 938, 1175, 16666, 4145, 827, 2960, 2860, 563, 763, 1560, 7472, 6171, 667, 950, 621, 568, 6534, 547, 519, 3141, 543, 621, 666, 849, 581, 5833, 676, 4189, 3536, 971, 607, 522, 1176, 3165, 267, 5798, 543, 6797, 454, 8072, 10144, 1631, 616, 4189, 1454, 1447, 522, 1176, 3165, 267, 7864, 10683, 2472, 543, 711, 7110, 532, 269, 8866, 616, 849, 4189, 811, 9268, 543, 22938, 1426, 267, 1247, 1004, 4171, 4703, 616, 17324, 1265, 621, 1454, 811, 2352, 547, 1569, 741, 6171, 667, 563, 8072, 1103, 1840, 519, 2960, 2860, 5048, 814, 3893, 1753, 543, 1004, 616, 3222, 540, 519, 12178, 540, 8781, 269, 1809, 5310, 1919, 723, 8854, 1932, 2484, 607, 4598, 547, 7943, 568, 519, 1655, 1259, 547, 10110, 6171, 667, 543, 607, 2370, 607, 476, 736, 3764, 829, 1554, 540, 3141, 593, 707, 3068, 543, 7916, 666, 581, 811, 982, 2614, 19028, 9515, 3773, 602, 519, 9002, 540, 11299, 2907, 1970, 538, 6171, 667, 941, 519, 1453, 1034, 607, 1981, 607, 789, 1131, 723, 1100, 1259, 540, 20993, 741, 2157, 563, 8072, 2467, 616, 1631, 11044, 547, 1205, 11299, 547, 5818, 741, 6171, 667, 2157, 865, 602, 789, 666, 1780, 621, 593, 547, 741, 9002, 538, 741, 6089, 5144, 16224, 1352, 1767, 563, 10144, 609, 18632, 2960, 723, 811, 7411, 3478, 6171, 667, 689, 7943, 543, 865, 621, 568, 891, 1004, 267, 1419, 6803, 18441, 267, 543, 741, 1453, 945, 616, 811, 693, 1981, 540, 678, 1157, 1115, 563, 301, 747, 15614, 22548, 651, 267, 1767, 281, 2048, 763, 1239, 25495, 938, 7080, 545, 687, 538, 6935, 547, 454, 1492, 27496, 540, 6171, 667, 10638, 267, 3226, 538, 938, 1378, 454, 11985, 8824, 9647, 30249, 14037, 16758, 563, 8072, 2467, 568, 1100, 8969, 602, 621, 568, 12947, 716, 3645, 1312, 538, 2474, 540, 4389, 4598, 547, 24106, 267, 855, 849, 519, 8082, 1063, 519, 17172, 1670, 5796, 538, 2463, 540, 3141, 5496, 543, 7850, 3141, 4598, 563, 8072, 4913, 267, 621, 1058, 581, 15422, 602, 6171, 667, 10638, 568, 19039, 569, 28824, 543, 3362, 5701, 676, 5634, 9360, 563, 8072, 2005, 568, 849, 1271, 547, 4063, 602, 519, 12751, 6481, 20229, 814, 1631, 15695, 602, 782, 1453, 689, 519, 2085, 540, 476, 277, 3275, 547, 476, 276, 1296, 1058, 1491, 6171, 667, 9360, 538, 1931, 547, 2061, 10638, 543, 922, 1198, 593, 2663, 1072, 2152, 19028, 7197, 14478, 5240, 7044, 454, 268, 4911, 787, 5507, 8546, 18213, 27605, 6595, 15372, 1282, 4737, 454, 268, 3004, 11551, 22089, 2982, 1762, 8004, 1354, 1352, 26357, 1055, 19887, 3625, 454, 268, 19162, 3619, 324, 3899, 543, 5062, 305, 2801, 13879, 1449, 856, 16727, 6777, 454, 268, 15240, 3482, 4116, 1166, 2354, 1647, 1153, 2875, 936, 1010, 1394, 454, 268, 1744, 12177, 21686, 31748, 9676, 4090, 1286, 5828, 543, 5734, 7814, 626, 454, 268, 918, 15598, 4600, 9575, 1412, 8243, 10212, 1782, 9269, 262, 689, 513, 1286, 676, 16705, 454, 268, 476, 866, 4458, 6040, 8419, 1153, 15246, 14353, 5526, 538, 5480, 454, 268, 901, 3167, 5409, 8364, 16125, 476, 271, 268, 2568, 332, 874, 538, 6167, 29308, 1079, 7643, 454, 268, 28850, 3023, 1055, 2658, 15623, 24415, 1457, 568, 18486, 538, 4873, 476, 1001, 276, 454, 268, 18903, 6288, 518, 256, 9214, 323, 1043, 3381, 540, 9920, 3478, 856, 540, 2230, 454, 268, 6828, 540, 1412, 31718, 2103, 262, 9575, 642, 663, 531, 2358, 1286, 6288, 539, 538, 741, 2230, 454, 268, 21208, 15614, 30434, 9575, 538, 669, 3739, 22089, 1310, 15246, 476, 1704, 1004, 0, 17951, 25086, 568, 606, 2473, 11920, 1353, 1031, 547, 14650, 519, 3330, 540, 1973, 8043, 543, 8219, 540, 519, 1560, 971, 607, 519, 16209, 267, 15532, 267, 543, 519, 2295, 20830, 269, 634, 1353, 568, 5340, 1210, 3937, 971, 607, 25108, 1562, 630, 628, 514, 267, 8465, 13740, 264, 543, 513, 5925, 19945, 12120, 4334, 8665, 630, 311, 11920, 20004, 264, 547, 5031, 519, 1973, 8043, 607, 519, 20004, 10596, 998, 873, 563, 763, 2587, 25086, 5773, 649, 1685, 1331, 912, 25205, 13519, 29259, 5314, 568, 513, 5650, 1031, 547, 4983, 519, 1973, 2095, 1369, 519, 2295, 16209, 630, 14585, 517, 776, 16209, 264, 1210, 513, 4480, 1572, 18337, 2587, 25086, 269, 898, 568, 5340, 585, 1312, 10368, 543, 954, 14846, 630, 339, 13015, 264, 5301, 269, 634, 1449, 568, 3730, 585, 7114, 519, 14169, 540, 519, 18337, 16209, 267, 32560, 267, 29473, 2424, 630, 4565, 18088, 264, 543, 11896, 2068, 563, 288, 16242, 18514, 5530, 630, 303, 16703, 264, 568, 513, 18337, 29259, 5314, 5650, 538, 799, 513, 6094, 8546, 1572, 513, 29259, 568, 8142, 539, 998, 606, 16050, 909, 2509, 519, 2295, 269, 634, 29259, 568, 7923, 547, 513, 9300, 602, 3800, 1973, 2604, 538, 519, 16050, 1354, 543, 1310, 519, 7522, 539, 1858, 269, 634, 1353, 568, 3730, 538, 8159, 2436, 519, 7522, 539, 3296, 540, 513, 18337, 16050, 568, 2693, 547, 2014, 2042, 538, 519, 2104, 563, 4504, 9545, 6018, 8299, 14647, 630, 4353, 4785, 264, 3096, 1164, 4908, 3280, 6329, 630, 338, 559, 550, 6329, 1070, 1572, 16953, 267, 547, 14650, 519, 18337, 16209, 689, 519, 3330, 13050, 269, 634, 16953, 2592, 616, 6383, 538, 1483, 942, 543, 666, 581, 1031, 607, 606, 5351, 538, 18337, 588, 550, 521, 1944, 267, 543, 538, 21533, 602, 519, 588, 550, 814, 1044, 5116, 5688, 958, 267, 568, 4628, 9450, 543, 554, 19982, 519, 6077, 3774, 563, 18893, 673, 3213, 11447, 8751, 2762, 630, 302, 6311, 264, 568, 513, 1164, 22822, 29259, 9196, 4480, 5340, 1210, 513, 29259, 32749, 2282, 19899, 14518, 1769, 602, 3091, 18784, 14839, 540, 519, 18337, 16209 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 16528, 2344, 269, 9521, 8184, 7154, 267, 14068, 331, 7564, 613, 4565, 4169, 8924, 950, 15181, 269, 898, 849, 1869, 2636, 16528, 6595, 7125, 538, 2013, 540, 606, 6595, 269, 1879, 14068, 331, 7564, 613, 568, 632, 716, 17300, 267, 519, 6049, 1568, 7363, 543, 596, 666, 1294, 14406, 7125, 267, 6835, 543, 711, 5874, 269, 0, 763, 2475, 4972, 540, 10456, 630, 23077, 297, 1070, 1927, 609, 2229, 13222, 689, 3670, 824, 2477, 267, 814, 5063, 556, 268, 793, 1243, 519, 21064, 11135, 547, 16505, 7402, 11736, 563, 8310, 15964, 267, 519, 11298, 297, 2322, 856, 513, 2046, 5305, 1071, 1606, 11220, 676, 519, 6608, 540, 519, 5177, 267, 5245, 267, 1715, 10215, 267, 4516, 267, 3127, 543, 3567, 267, 13886, 4139, 15048, 281, 7736, 268, 2414, 7232, 526, 7402, 11736, 543, 5398, 8881, 563, 2791, 1522, 711, 723, 2938, 519, 2046, 5305, 630, 527, 729, 2322, 856, 593, 10732, 267, 606, 8966, 1554, 585, 3377, 13847, 538, 519, 4639, 1070, 855, 596, 666, 3592, 6157, 7058, 1018, 621, 3081, 563, 10521, 1919, 267, 5631, 281, 1589, 540, 519, 1453, 267, 543, 1945, 2115, 547, 581, 2944, 563, 2252, 596, 516, 513, 2834, 5467, 540, 715, 8898, 8232, 267, 596, 961, 581, 5432, 609, 519, 1279, 8573, 7342, 8082, 602, 6818, 538, 1082, 2477, 936, 519, 946, 540, 14238, 563, 25802, 1419, 267, 835, 851, 540, 519, 1857, 3028, 519, 1239, 4027, 26273, 267, 585, 3236, 786, 581, 25461, 609, 8716, 3549, 547, 9772, 2178, 14238, 538, 1931, 547, 2149, 741, 5561, 267, 9856, 938, 7834, 267, 543, 1118, 1272, 9875, 585, 6880, 322, 3234, 10904, 563, 29012, 267, 1510, 2178, 14238, 267, 4066, 602, 649, 723, 2097, 547, 7048, 2390, 267, 971, 607, 552, 19645, 543, 7658, 20813, 17182, 267, 1131, 581, 22247, 543, 8035, 762, 563, 290, 3234, 10904, 1131, 581, 959, 643, 6053, 2111, 547, 554, 6359, 871, 2883, 8852, 267, 585, 1383, 267, 543, 20935, 2477, 1131, 581, 2111, 547, 552, 2314, 17840, 593, 938, 1870, 543, 2196, 1055, 609, 938, 4123, 11580, 693, 786, 563, 10214, 8338, 267, 1510, 513, 6939, 4919, 3959, 1634, 607, 4464, 9658, 1097, 267, 5462, 10779, 2456, 666, 18448, 707, 10618, 2221, 267, 1256, 952, 789, 616, 660, 11523, 762, 1631, 267, 543, 1483, 12264, 4126, 547, 11523, 873, 538, 519, 2104, 563, 21413, 4464, 9658, 1097, 267, 513, 2663, 14207, 540, 707, 4487, 14238, 1883, 1522, 9886, 519, 31487, 8216, 24794, 8826, 1569, 547, 741, 588, 1662, 540, 26545, 16940, 6054, 267, 3850, 873, 547, 556, 13388, 519, 9219, 543, 1232, 7973, 2025, 10618, 693, 786, 563, 3383, 267, 2413, 14238, 14565, 21645, 1175, 17278, 3060, 6808, 609, 707, 1279, 3856, 14238, 10569, 267, 855, 1039, 538, 1018, 616, 1634, 607, 3134, 31906, 531, 10569, 883, 519, 3575, 835, 6066, 14238, 11580, 585, 1142, 2792, 8400, 602, 616, 23987, 1310, 946, 563, 763, 3069, 568, 602, 952, 596, 1705, 660, 1232, 7973, 519, 2792, 693, 519, 942, 621, 729, 2366, 267, 596, 530, 2632, 581, 2111, 547, 979, 1394, 543, 798, 865, 2663, 593, 563, 19013, 267, 4464, 9658, 1097, 1869, 568, 660, 607, 4922, 6462, 676, 7270, 267, 610, 607, 4922, 24451, 267, 607, 596, 1522, 2503, 269, 3509, 13763, 1869, 3398, 4296, 602, 19074, 1279, 3856, 14238, 10569, 267, 27229, 1317, 513, 1713, 12102, 540, 741, 8436, 616, 1210, 2025, 26292, 602, 21645, 1489, 4464, 9658, 1097, 267, 610, 21645, 2307, 547, 946, 621, 563, 20118, 267, 649, 5051, 7048, 2390, 1018, 568, 1634, 607, 1439, 3562, 15134, 14238, 267, 1141, 1239, 568, 24290, 585, 519, 6852, 946, 540, 922, 3803, 18579, 543, 568, 1152, 2479, 5293, 2059, 922, 3460, 538, 513, 4628, 26545, 16940, 543, 23984, 704, 31383, 1106, 563, 10214, 952, 519, 5048, 568, 2813, 676, 513, 28106, 813, 602, 15920, 621, 998, 513, 1808, 7426, 6531, 3028, 267, 519, 2754, 602, 13333, 519, 3028, 1281, 660, 1205, 519, 1232, 11736, 1883, 585, 519, 5048, 563, 6546, 1797, 602, 519, 3028, 8502, 18085, 1232, 7973, 519, 5048, 607, 621, 10596, 998, 741, 13763, 267, 610, 952, 621, 568, 6740, 972, 585, 2663, 711, 585, 741, 1378, 4128, 282, 711, 952, 789, 516, 5143, 547, 282, 543, 711, 1256, 952, 596, 3054, 1917, 873, 547, 9156, 621, 585, 596, 1317, 596, 557, 4503, 519, 3312, 5299, 563, 21413, 1439, 3562, 15134, 14238, 267, 513, 5462, 10779, 776, 1223, 552, 2314, 17840, 593, 707, 6835, 676, 3257, 519, 3059, 6697, 540, 2848, 5446, 873, 1930, 2059, 519, 1259, 267, 25718, 519, 9115, 267, 543, 1287, 1191, 2718, 873, 538, 606, 9838, 23302, 23508, 1354, 8429, 873, 2059, 519, 1899, 563, 5445, 323, 1869, 581, 24290, 950, 789, 3893, 547, 596, 267, 855, 596, 1131, 660, 581, 2386, 2436, 789, 323, 1044, 1232, 7973, 539, 543, 556, 10276, 322, 7973, 539, 2059, 519, 1259, 563, 4263, 519, 1482, 942, 267, 1776, 851, 540, 519, 2229, 786, 581, 19163, 602, 2178, 14238, 4249, 883, 519, 3946, 540, 9810, 1235, 543, 20737, 2523, 1126, 705, 22852, 1317, 267, 1134, 267, 1317, 2178, 14238, 568, 1932, 2178, 267, 543, 4991, 538, 519, 1259, 1256, 540, 10257, 267, 1876, 995, 267, 5480, 22190, 28508, 13178, 543, 2963, 4015, 563, 2026, 513, 1267, 267, 5126, 13623, 267, 1876, 11268, 8041, 543, 14761, 1419, 2097, 856, 2220, 15781, 267, 14053, 602, 649, 6467, 547, 14238, 1949, 602, 616, 4617, 2614, 602, 789, 666, 11523, 883, 519, 10618, 543, 519, 6740, 1239, 540, 6880, 322, 3234, 10904, 952, 789, 2731, 991, 547, 563, 5475, 782, 267, 952, 5186, 758, 338, 543, 9810, 1235, 666, 5968, 543, 5385, 1239, 538, 513, 1259, 602, 568, 9247, 4608, 571, 1188, 762, 267, 2161, 1876, 16404, 6203, 267, 875, 786, 649, 2479, 581, 2111, 547, 1205, 2614, 2963, 547, 8495, 20737, 543, 20903, 873, 1310, 1945, 3983, 814, 3144, 1747, 888, 10214, 8338, 267, 649, 530, 2632, 581, 2111, 547, 2445, 2614, 14942, 2963, 4987, 267, 538, 519, 3822, 547, 3247, 20737, 1247, 789, 616, 1869, 693, 519, 24242, 3942, 267, 543, 4061, 10963, 786, 1831, 4443, 543, 4443, 547, 1544, 267, 543, 9875, 543, 9875, 547, 2061, 563, 4322, 616, 267, 540, 1576, 267, 10257, 4145, 267, 543, 18085, 3274, 581, 25323, 856, 540, 1688, 563, 2026, 519, 11298, 297, 2046, 5305, 12662, 621, 912, 314, 307, 316, 1877, 568, 2810, 13618, 2066, 6608, 543, 3486, 5238, 602, 2962, 1590, 581, 3144, 281, 1247, 14238, 568, 4105, 543, 7834, 543, 6880, 3354, 1590, 581, 6870, 267, 602, 1058, 711, 2097, 693, 519, 13258, 540, 28025, 840, 6984, 1876, 11268, 267, 543, 519, 10509, 2872, 3294, 267, 689, 1373, 2111, 547, 957, 1996, 519, 1034, 3978, 10363, 1543, 543, 2534, 2228, 563, 5475, 782, 267, 538, 2477, 971, 607, 519, 5177, 543, 519, 2475, 267, 519, 7803, 5126, 1062, 568, 7361, 1759, 593, 606, 10779, 25106, 1184, 602, 6238, 609, 519, 16912, 1632, 540, 513, 9718, 1218, 26454, 267, 543, 31710, 4096, 711, 8806, 593, 2963, 602, 568, 23674, 543, 3810, 2693, 547, 581, 2953, 267, 855, 593, 1373, 2386, 3564, 10257, 8969, 563, 3719, 875, 666, 596, 2097, 909, 609, 519, 2838, 1377, 540, 6169, 952, 20737, 666, 22991, 543, 3362, 12404, 519, 2963, 538, 10750, 8289, 267, 543, 14902, 538, 519, 3068, 540, 5480, 11562, 1218, 602, 1450, 602, 2963, 547, 581, 25868, 543, 22646, 888, 1692, 666, 596, 2479, 3715, 602, 2473, 1767, 962, 547, 2098, 267, 610, 602, 589, 9709, 547, 2743, 645, 693, 595, 267, 952, 1169, 2442, 20261, 1062, 28352, 1439, 3562, 15134, 14238, 267, 865, 602, 3028, 7426, 3274, 3112, 18448, 610, 1232, 1712, 1022, 6835, 267, 1256, 952, 513, 5480, 15549, 9783, 538, 513, 1085, 14442, 592, 3585, 4023, 1259, 7569, 873, 547, 798, 865, 888, 2171, 18085, 14020, 938, 1699, 14238, 1949, 952, 649, 1616, 547, 3251, 6619, 540, 6880, 322, 3234, 10904, 543, 4182, 15581, 14763, 282, 538, 1249, 267, 649, 991, 547, 1832, 14304, 543, 5355, 519, 14238, 649, 723, 267, 1317, 630, 553, 6939, 20802, 899, 547, 2161, 1070, 6285, 1152, 2479, 1205, 1732, 563, 3719, 941, 849, 5143, 602, 649, 991, 547, 14020, 938, 14238, 1949, 952, 649, 1616, 547, 581, 2111, 547, 3713, 543, 2061, 519, 20737, 543, 4182, 15581, 14763, 538, 938, 22984, 563, 763, 14196, 1934, 1058, 581, 6654, 281, 952, 649, 14020, 938, 14238, 1949, 593, 3483, 547, 1118, 621, 4443, 543, 4443, 547, 6952, 2576, 267, 649, 8195, 1118, 621, 4443, 543, 4443, 585, 4896, 547, 10352, 6707, 593, 3025, 563, 302, 267, 1018, 513, 8126, 1194, 1357, 649, 15827, 2336, 763, 637, 606, 3606, 3390, 1934, 3361, 676, 519, 1249, 602, 4608, 571, 1188, 762, 1439, 3562, 15134, 14238, 568, 1631, 11884, 2139, 547, 4896, 945, 30128, 547, 946, 621, 585, 1383, 267, 538, 519, 1106, 540, 11451, 2139, 1930, 2707, 3301, 269, 4475, 267, 8903, 1876, 268, 629, 4575, 4961, 547, 946, 18604, 14238, 1131, 1118, 1919, 1256, 1732, 585, 519, 5186, 758, 338, 267, 945, 616, 711, 1876, 268, 629, 4575, 4961, 538, 519, 1101, 1747, 543, 616, 12691, 547, 16783, 609, 1022, 4617, 21888, 4031, 19037, 563, 294, 4261, 906, 3335, 15974, 513, 2039, 540, 1949, 547, 4194, 519, 2178, 14238, 1966, 267, 971, 607, 912, 763, 1966, 609, 782, 891, 3435, 568, 602, 789, 666, 782, 581, 2808, 7648, 593, 519, 4487, 1883, 6249, 563, 17484, 4812, 954, 4003, 1152, 950, 922, 2877, 568, 1175, 513, 2027, 2213, 267, 2899, 2987, 8584, 19351, 850, 2013, 540, 2489, 5048, 26603, 992, 282, 5048, 26603, 992, 568, 1175, 513, 2027, 2213, 2013, 540, 513, 4487, 1883, 282, 543, 513, 20982, 6939, 4919, 16950, 568, 1175, 513, 7294, 4990, 540, 4487, 1883, 20386, 909, 538, 519, 5690, 3294, 563, 5445, 782, 1930, 909, 513, 1350, 2130, 3463, 267, 12077, 267, 1548, 4523, 950, 519, 14068, 2871, 903, 10625, 519, 11580, 3297, 519, 5048, 25305, 1062, 888, 8245, 2952, 2322, 281, 875, 593, 3618, 798, 596, 1832, 519, 4487, 1883, 2922, 267, 543, 875, 798, 596, 6430, 945, 4991, 547, 946, 621, 19037, 888, 763, 11298, 297, 4667, 547, 1589, 602, 621, 666, 1265, 513, 10513, 3400, 559, 585, 1876, 995, 954, 4003, 267, 610, 693, 2547, 26770, 519, 4357, 5823, 547, 2097, 909, 609, 835, 912, 2171, 4161, 519, 25195, 602, 1857, 3106, 3112, 581, 6870, 1510, 18731, 7834, 610, 6880, 3354, 269, 1284, 9244, 3494, 602, 4485, 7863, 1142, 540, 891, 1271, 2418, 616, 2009, 543, 11441, 547, 960, 609, 2872, 547, 12840, 593, 20102, 3858, 762, 3435, 563, 26607, 2648, 547, 1589, 602, 713, 568, 2009, 267, 855, 538, 2013, 596, 941, 11842, 941, 23578, 547, 1018, 649, 1289, 938, 1948, 333, 984, 871, 13073, 3741, 912, 314, 4263, 20153, 657, 267, 316, 938, 31672, 543, 1646, 2853, 10238, 527, 1394, 13073, 610, 1022, 824, 1797, 540, 18731, 519, 4222, 540, 1022, 540, 938, 2472, 3060, 267, 1439, 4812, 610, 6531, 3354, 585, 1022, 3483, 267, 543, 649, 25525, 3585, 28586, 1022, 1876, 602, 1131, 735, 601, 20153, 657, 630, 528, 1022, 824, 2029, 18261, 264, 547, 17543, 14020, 519, 3354, 540, 922, 2472, 563, 8489, 596, 798, 1796, 538, 713, 21064, 7521, 888, 5970, 707, 2161, 538, 519, 8292, 2630, 269, 630, 2252, 596, 522, 2466, 707, 2012, 267, 596, 786, 9949, 547, 1373, 32088, 8094, 268, 12866, 28438, 11910, 585, 15306, 2622, 547, 1284, 2586, 7402, 11736, 910, 13068, 766, 297, 10849, 910, 13068, 766, 297, 10849, 910, 5239, 476, 1704, 628, 267, 476, 1708, 271, 454, 268, 28652, 23548, 1231, 24305, 719, 540, 7736, 268, 2414, 7232, 526, 7402, 11736, 910, 3733, 15306, 13356, 2888, 910, 15306, 13356, 2888, 910, 5239, 476, 1704, 628, 267, 476, 1708, 271, 454, 268, 16393, 4630, 25806, 14238, 581, 519, 3070, 547, 2462, 1239, 781, 1966, 286, 910, 28541, 10517, 3016, 2593, 910, 5239, 476, 1704, 628, 267, 476, 1708, 271, 454, 268, 772, 2529, 1421, 5177, 543, 824, 2477, 24633, 10509, 10909, 602, 14238, 5932, 1412, 572, 3164, 4220, 262, 547, 1857, 3106, 910, 31368, 6195, 910, 5239, 476, 1704, 628, 267, 476, 1708, 271, 454, 268, 1772, 28686, 5150, 286, 1215, 519, 20261, 813, 14014, 7834, 910, 6355, 6184, 3187, 910, 6355, 6184, 3187, 910, 5239, 476, 1704, 628, 267, 476, 1708, 271, 454, 268, 589, 3266, 309, 1241, 618, 543, 966, 5362, 520, 547, 2832, 547, 2087, 5925, 14238, 585, 623, 6373, 589, 292, 910, 22947, 29514, 910, 5239, 476, 1704 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1078, 9985, 11273, 29607, 2083, 7410, 4712, 547, 21102, 519, 1397, 269, 2060, 11348, 543, 10761, 267, 594, 6039, 12129, 547, 1250, 1920, 267, 24584, 9299, 2478, 585, 1250, 11477, 21184, 780, 3719, 1934, 2501, 519, 6397, 4729, 6335, 1862, 16563, 8593, 2390, 721, 693, 519, 3349, 269, 3733, 3214, 11688, 527, 14688, 3576, 17486, 267, 3168, 11821, 282, 1250, 9393, 7444, 1750, 14954, 1010, 1101, 11116, 543, 4280, 952, 972, 941, 1022, 824, 4005, 902, 3238, 16310, 11993, 543, 13342, 2094, 646, 7948, 1405, 3833, 2322, 1010, 9416, 593, 519, 9642, 6492, 269, 1656, 1287, 621, 5734, 803, 1107, 519, 21491, 6506, 256, 769, 782, 1250, 15131, 267, 594, 1185, 16618, 547, 4894, 873, 1310, 8631, 532, 519, 29607, 269, 2598, 1952, 2002, 618, 18233, 936, 803, 269, 2353, 602, 4674, 267, 1152, 585, 803, 547, 25010, 938, 7594, 1813, 547, 971, 513, 25064, 12161, 2439, 30342, 17204, 267, 649, 1869, 2893, 1524, 543, 17696, 3368, 540, 1018, 1223, 723, 1044, 513, 9735, 8670, 630, 2381, 639, 519, 21491, 1157, 29511, 1040, 13536, 602, 3781, 267, 10452, 593, 519, 10543, 781, 2621, 267, 594, 7691, 875, 3006, 6612, 3785, 1810, 1405, 2490, 856, 4010, 607, 9709, 269, 1809, 3079, 540, 23029, 593, 5821, 267, 594, 8359, 547, 1265, 24176, 538, 6616, 602, 1985, 942, 1131, 15983, 581, 1732, 269, 9320, 594, 9327, 1405, 7340, 547, 1491, 856, 21491, 6506, 267, 6148, 594, 9364, 4603, 2417, 609, 824, 6700, 4005, 902, 899, 16815, 1889, 610, 13099, 27996, 269, 23657, 1259, 267, 594, 6591, 3407, 1995, 543, 4121, 547, 9784, 9073, 607, 851, 540, 519, 3460, 2509, 4742, 513, 1732, 2587, 2401, 543, 27697, 269, 1924, 3314, 11570, 267, 14902, 693, 707, 1025, 1495, 619, 543, 1832, 3001, 4464, 256, 0, 2237, 513, 1483, 3734, 1650, 3838, 676, 2576, 538, 513, 14703, 8468, 269, 634, 1650, 1058, 581, 11214, 1644, 547, 713, 1257, 6256, 281, 3097, 18658, 2010, 540, 4005, 902, 610, 11922, 979, 1134, 609, 29607, 950, 5986, 888, 2467, 616, 1082, 4005, 902, 543, 11922, 602, 979, 1134, 609, 29607, 950, 5986, 267, 930, 540, 799, 1331, 1384, 272, 269, 19748, 517, 281, 19748, 517, 8591, 513, 24253, 267, 20521, 344, 8137, 602, 8424, 1134, 609, 519, 7646, 6492, 540, 29607, 780, 273, 269, 667, 650, 281, 667, 650, 814, 513, 10347, 8137, 602, 1264, 906, 519, 11029, 8137, 540, 29607, 780, 274, 269, 12275, 997, 281, 12275, 997, 8591, 513, 12050, 267, 29902, 8137, 547, 29607, 267, 543, 666, 581, 1031, 4195, 267, 32314, 610, 1295, 1027, 780, 275, 269, 774, 344, 1889, 281, 774, 344, 1889, 568, 606, 3618, 344, 10786, 602, 8424, 1134, 609, 519, 3638, 267, 855, 6670, 8137, 540, 29607, 780, 276, 269, 14986, 4424, 281, 14986, 4424, 814, 513, 10058, 267, 12566, 344, 8137, 602, 8424, 1134, 609, 519, 17381, 540, 29607, 780, 277, 269, 14466, 27996, 281, 14466, 27996, 8591, 513, 15137, 344, 543, 5594, 6653, 8137, 267, 799, 8424, 1134, 609, 519, 7646, 8137, 540, 29607, 780, 278, 269, 20579, 16400, 281, 20579, 16400, 814, 513, 3982, 267, 5594, 6132, 528, 823, 6438, 8137, 602, 8424, 1134, 609, 519, 1769, 8137, 540, 29607, 780, 279, 269, 932, 8270, 1166, 1389, 281, 1280, 1346, 945, 899, 513, 14736, 267, 31625, 1166, 1389, 22937, 3002, 547, 519, 29607, 14325, 763, 1650, 1058, 1331, 281, 3097, 268, 18990, 4690, 610, 9644, 281, 4685, 883, 1808, 12348, 267, 4690, 267, 610, 14973, 3871, 3097, 268, 1323, 6397, 4729, 6335, 610, 2502, 4655, 281, 6338, 513, 11541, 2943, 4101, 3510, 610, 14196, 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, 0, 17138, 281, 1215, 547, 5700, 2334, 513, 15196, 13201, 513, 9197, 2313, 2201, 1411, 692, 7072, 912, 8139, 952, 513, 7911, 814, 4606, 585, 596, 666, 581, 1312, 3078, 543, 8229, 2914, 571, 9535, 269, 1677, 948, 12172, 713, 3510, 1510, 4929, 11991, 2566, 610, 10539, 267, 649, 4312, 2813, 606, 3573, 3391, 24223, 1585, 4191, 602, 949, 5815, 2436, 513, 7911, 814, 513, 24807, 593, 596, 269, 901, 2376, 786, 1683, 2312, 3137, 609, 29829, 3268, 1247, 5356, 5363, 4388, 2059, 519, 1259, 269, 5457, 267, 1169, 1367, 568, 2189, 282, 4061, 267, 711, 782, 4191, 1522, 4019, 8449, 547, 707, 1880, 3510, 269, 1717, 267, 676, 6236, 891, 2798, 607, 513, 2898, 267, 596, 1058, 2744, 3407, 5813, 883, 1010, 3020, 4606, 780, 3721, 476, 272, 281, 27297, 3571, 10610, 5678, 454, 28324, 2673, 3007, 547, 875, 646, 31136, 1472, 596, 3379, 547, 950, 646, 781, 15025, 609, 1866, 269, 2368, 1455, 1560, 1893, 10291, 1331, 1384, 320, 264, 14627, 550, 16685, 13555, 281, 1403, 513, 7911, 1419, 5654, 693, 596, 2047, 538, 519, 4064, 543, 6585, 3750, 3346, 3476, 982, 8912, 267, 621, 1223, 2303, 602, 646, 9060, 596, 10694, 543, 2502, 269, 1160, 14075, 539, 3750, 3346, 13847, 3404, 12682, 665, 514, 267, 799, 11942, 4276, 543, 13613, 780, 321, 264, 11120, 658, 25285, 281, 6733, 856, 585, 11029, 2242, 538, 11132, 7215, 971, 607, 1025, 5241, 267, 6659, 32071, 4900, 267, 32127, 811, 4749, 267, 610, 1256, 13581, 10265, 12772, 1107, 891, 616, 1761, 10832, 540, 1719, 543, 10761, 780, 322, 264, 8447, 25291, 281, 1133, 335, 668, 696, 539, 9543, 18953, 899, 11093, 513, 1688, 593, 707, 6186, 267, 13105, 267, 610, 1394, 949, 5815, 15754, 622, 4606, 2509, 596, 269, 5901, 3950, 540, 1022, 2799, 2168, 16133, 610, 23139, 26814, 1996, 835, 1776, 2094, 789, 849, 24901, 4313, 1377, 543, 16007, 780, 7659, 17785, 281, 2142, 13533, 540, 2686, 3604, 3823, 2123, 2230, 543, 15700, 8155, 269, 16700, 5793, 13133, 566, 540, 17608, 17267, 666, 1291, 547, 21390, 780, 3721, 476, 273, 281, 21302, 3571, 7638, 4472, 9442, 454, 8266, 523, 5402, 547, 1018, 646, 3081, 1282, 7391, 269, 3371, 616, 930, 11913, 6786, 602, 1223, 17538, 11509, 1719, 1384, 320, 264, 16842, 23206, 281, 6496, 646, 8362, 6432, 950, 596, 3717, 286, 9796, 532, 2407, 3007, 543, 14775, 24617, 2982, 9758, 1416, 827, 6616, 596, 1732, 780, 321, 264, 1290, 680, 9323, 281, 18564, 952, 646, 5360, 9323, 596, 5781, 267, 2519, 593, 3344, 3564, 5920, 630, 324, 3052, 1421, 4987, 267, 9644, 1040, 2637, 9334, 25621, 11498, 2250, 21603, 7907, 780, 322, 264, 19457, 9608, 12267, 281, 589, 1268, 945, 3972, 338, 543, 15055, 2576, 11148, 547, 2671, 15982, 3877, 827, 2933, 269, 1403, 646, 12607, 4680, 4357, 1344, 610, 2833, 267, 2015, 713, 513, 2178, 16315, 540, 23816, 1145, 780, 323, 264, 1855, 2084, 610, 4469, 597, 1154, 281, 7591, 6888, 1063, 2828, 568, 3339, 267, 855, 1166, 7398, 520, 1190, 751, 2084, 10483, 676, 29886, 1350, 1734, 610, 1159, 3796, 5267, 4514, 4606, 780, 28223, 281, 3680, 17259, 547, 8753, 1759, 9003, 593, 17187, 10881, 282, 3079, 267, 9192, 873, 609, 824, 7422, 689, 1114, 2127, 5018, 538, 713, 3391, 780, 3721, 476, 274, 281, 21414, 4317, 9012, 29568, 454, 1103, 2221, 781, 3059, 2085, 267, 1514, 2923, 5867, 2709, 3606, 4030, 883, 1004, 781, 4690, 543, 4296, 269, 6333, 519, 1739, 2188, 1384, 320, 264, 700, 10105, 1299, 22227, 281, 6744, 952, 646, 9846, 22851, 609, 707, 9708, 998, 6010, 532, 267, 6085, 532, 267, 610, 4687, 269, 15474, 6278, 3270, 5815, 3742, 1719, 538, 707, 1272, 780, 321, 264, 11374, 2659, 32439, 281, 1403, 646, 5205, 2789, 12632, 2404, 609, 596, 630, 26051, 6589, 267, 21075, 267, 3092, 13776, 1491, 4063, 540, 713, 4806, 607, 621, 10522, 7279, 543, 5092, 538, 1565, 811, 827, 596, 780, 322, 264, 6034, 11619, 1137, 281, 17721, 6835, 5627, 7874, 7333, 614, 267, 3330, 24668, 267, 610, 12675, 5717, 5365, 8994, 18399, 543, 3838, 29037, 780, 323, 264, 22105, 3101, 1411, 281, 1879, 28562, 538, 1509, 525, 267, 6337, 267, 610, 1895, 2238, 267, 7747, 952, 646, 4481, 2882, 596, 267, 15691, 547, 6536, 5872, 1063, 519, 1079, 540, 596, 780, 7659, 17785, 281, 4676, 1778, 689, 936, 534, 3315, 4506, 1169, 2582, 5872, 267, 2523, 952, 972, 616, 20849, 4191, 11992, 269, 5502, 267, 1445, 593, 5812, 3466, 2066, 2789, 9055, 780, 3721, 476, 275, 281, 8178, 32655, 11242, 454, 27396, 908, 1927, 538, 12348, 267, 2621, 267, 610, 4247, 2636, 1312, 2043, 547, 15378, 17356, 543, 15052, 741, 6125, 269, 6875, 5469, 540, 891, 1761, 23456, 1384, 320, 264, 9024, 28179, 670, 836, 8083, 281, 6496, 646, 20006, 4566, 5473, 1175, 519, 1079, 540, 596, 267, 11021, 513, 7287, 585, 12600, 942, 6170, 1927, 3544, 1895, 5468, 2496, 321, 264, 11154, 338, 2776, 325, 3720, 281, 9866, 6326, 1864, 4188, 6208, 267, 16131, 267, 610, 7375, 547, 13918, 16523, 9727, 7156, 543, 1871, 5116, 2390, 707, 2078, 780, 322, 264, 17434, 17644, 281, 20985, 3785, 267, 6887, 267, 610, 15731, 5512, 6251, 8343, 540, 16542, 1983, 267, 11428, 267, 543, 15131, 2509, 3838, 6859, 780, 323, 264, 15350, 31962, 281, 3502, 6005, 1507, 3877, 827, 3105, 13341, 6920, 18906, 4369, 543, 7071, 585, 8090, 4810, 7258, 596, 780, 28223, 281, 2755, 7836, 2298, 942, 1927, 18791, 7554, 267, 2327, 596, 2226, 2635, 6302, 543, 2057, 31495, 31147, 3659, 17349, 607, 11509, 8247, 780, 6962, 912, 28403, 1944, 4191, 602, 513, 7911, 814, 513, 24807, 593, 596, 3322, 6297, 2079, 540, 1585, 5615, 267, 2792, 6163, 267, 1514, 4205, 267, 543, 3838, 2238, 269, 1635, 1620, 891, 10291, 543, 9256, 873, 4111, 1836, 267, 596, 666, 21264, 1010, 4606, 8308, 269, 11086, 267, 9639, 543, 1582, 18221, 2429, 713, 1184, 7413, 21390, 543, 3895, 8902, 3347, 3710, 593, 13597, 269, 0, 2237, 513, 1279, 543, 1360, 2143, 5850, 593, 834, 15447, 2334, 513, 15196, 13201, 513, 9197, 2313, 593, 1411, 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, 6092, 5149, 281, 681, 2572, 540, 10426, 720, 538, 8111, 12516, 12267, 692, 8702, 267, 1762, 3988, 267, 547, 606, 3078, 3408, 540, 27568, 543, 519, 1523, 540, 32537, 540, 8574, 256, 589, 678, 924, 540, 8574, 568, 513, 2027, 2680, 610, 4161, 602, 7436, 513, 1713, 1689, 538, 2576, 781, 1272, 269, 901, 1223, 581, 950, 789, 1332, 909, 267, 1491, 593, 811, 9021, 267, 610, 1451, 1271, 4245, 269, 4653, 267, 649, 786, 4685, 883, 2984, 10023, 707, 5172, 12325, 899, 519, 2473, 5336, 523, 543, 3605, 875, 789, 1995, 32537, 540, 8574, 780, 4131, 781, 1376, 609, 938, 30354, 2828, 267, 519, 2473, 5336, 523, 269, 5994, 1373, 3144, 856, 540, 707, 1378, 15415, 543, 16207, 883, 513, 4625, 1114, 5736, 256, 2334, 781, 1018, 4523, 547, 519, 3312, 2947, 2473, 5336, 523, 630, 290, 5670, 3591, 267, 31733, 21756, 267, 2142, 770, 267, 19664, 267, 543, 10979, 2006, 264, 538, 741, 9035, 269, 13185, 827, 513, 2462, 1689, 256, 1358, 616, 1565, 875, 547, 3082, 547, 513, 1158, 2407, 540, 4359, 2029, 267, 14542, 14763, 267, 543, 1256, 5870, 14595, 8747, 540, 2933, 269, 1452, 2591, 3196, 873, 547, 9921, 3533, 543, 960, 1927, 607, 513, 2319, 780, 3080, 1383, 568, 950, 519, 2353, 268, 6124, 2473, 5336, 523, 2743, 30683, 5651, 2297, 267, 849, 1634, 607, 31597, 30064, 5336, 534, 269, 5637, 6887, 2661, 538, 6252, 5203, 525, 267, 2495, 789, 2291, 693, 519, 1482, 942, 855, 666, 2760, 2170, 896, 3339, 6381, 269, 1879, 789, 6368, 3444, 10092, 267, 2705, 267, 31168, 8038, 256, 20051, 30683, 12662, 519, 2353, 268, 6124, 2473, 5336, 523, 998, 8062, 602, 1449, 741, 5759, 543, 17052, 269, 28304, 971, 23665, 2337, 3337, 945, 789, 1831, 607, 2043, 543, 607, 513, 1895, 780, 3086, 1577, 781, 1445, 593, 835, 1880, 4759, 540, 519, 2353, 268, 6124, 2473, 5336, 523, 1107, 10979, 2006, 267, 610, 1762, 7585, 2421, 19537, 651, 269, 2311, 1101, 267, 646, 9620, 609, 9013, 1010, 7060, 543, 1419, 9060, 5128, 16397, 676, 1010, 1378, 4222, 269, 1809, 1310, 2469, 998, 1896, 12959, 7258, 1010, 8284, 2473, 5336, 523, 267, 7585, 2421, 12374, 6015, 538, 1010, 5759, 543, 5088, 806, 1010, 1909, 1369, 519, 2319, 269, 1306, 646, 3587, 811, 6899, 1210 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 325, 1475, 3709, 272, 10954, 10401, 23685, 2765, 346, 272, 7346, 10401, 1341, 272, 32556, 273, 2567, 1269, 1475, 325, 1475, 3709, 290, 317, 273, 348, 1422, 19008, 595, 1475, 325, 1475, 18155, 13727, 23685, 2765, 3189, 10401, 2410, 273, 10954, 10401, 3686, 349, 13466, 325, 1475, 3709, 290, 3867, 273, 10954, 10401, 3686, 17353, 2765, 346, 273, 2410, 273, 10954, 10401, 22288, 0, 258, 32150, 23044, 910, 12430, 22953, 692, 1103, 713, 3184, 267, 649, 786, 1445, 593, 519, 2596, 1383, 540, 5276, 9695, 6388, 1210, 32150, 23044, 269, 8298, 2065, 9695, 610, 5276, 9695, 568, 513, 24892, 3684, 1565, 1935, 585, 519, 8760, 540, 1931, 15768, 6688, 269, 3776, 3804, 538, 713, 3184, 568, 547, 1628, 513, 2203, 676, 799, 513, 3593, 666, 3589, 519, 2078, 1063, 27667, 4632, 543, 835, 610, 811, 4830, 4632, 780, 763, 2078, 1063, 891, 1079, 4632, 568, 931, 6567, 30872, 5276, 269, 1403, 586, 568, 519, 8200, 4756, 543, 1535, 568, 2808, 607, 519, 4830, 4756, 267, 1287, 519, 5276, 9695, 2078, 540, 1079, 4632, 786, 1413, 899, 519, 1739, 3830, 6567, 692, 312, 815, 16547, 17070, 7531, 2171, 786, 1374, 606, 5690, 585, 5276, 9695, 269, 901, 786, 1450, 721, 547, 1174, 519, 1739, 1079, 1271, 2035, 6567, 692, 1892, 8779, 9577, 692, 763, 28176, 6041, 540, 5276, 9695, 568, 5018, 2630, 6567, 692, 763, 21370, 2070, 540, 519, 3830, 540, 5276, 9695, 568, 5018, 2630, 6567, 692, 1012, 17778, 547, 1374, 606, 5690, 585, 5276, 9695, 692, 2171, 786, 1631, 1451, 827, 519, 3268, 602, 948, 538, 8888, 606, 5690, 585, 5276, 9695, 780, 2162, 5153, 476, 272, 692, 2005, 568, 1271, 547, 1104, 519, 2556, 13838, 585, 28321, 519, 5276, 9695, 9074, 269, 1284, 1376, 1104, 532, 519, 5124, 5399, 17877, 543, 32287, 780, 5814, 11885, 607, 5286, 454, 5814, 21267, 28272, 607, 12301, 7531, 2162, 5153, 476, 273, 692, 31711, 519, 1297, 540, 14170, 2556, 585, 26848, 9695, 780, 15893, 15058, 318, 9557, 815, 476, 4335, 454, 343, 318, 4812, 815, 11713, 344, 318, 4812, 815, 11713, 320, 815, 476, 271, 269, 2420, 454, 321, 815, 476, 271, 269, 4281, 7531, 2162, 5153, 476, 274, 692, 296, 614, 622, 519, 4632, 585, 10451, 476, 4968, 4351, 2798, 1472, 519, 9695, 3830, 6567, 692, 312, 815, 476, 271, 269, 2420, 343, 266, 271, 269, 4281, 692, 1721, 1775, 538, 2039, 28840, 15058, 318, 9557, 2187, 343, 815, 5286, 20179, 269, 7538, 263, 271, 269, 271, 267, 271, 269, 276, 994, 344, 815, 513, 20080, 1341, 536, 1341, 12639, 20179, 269, 7538, 263, 271, 269, 271, 267, 271, 269, 272, 264, 1535, 318, 4812, 6910, 8443, 343, 7481, 344, 318, 4812, 6910, 8443, 344, 316, 9239, 2162, 5153, 476, 275, 692, 8698, 519, 6383, 2798, 1210, 32287, 780, 325, 10823, 19502, 3287, 318, 4812, 11971, 318, 4812, 267, 1412, 334, 3299, 6003, 815, 1412, 19152, 4578, 10807, 12301, 269, 5586, 754, 3890, 12301, 20481, 30800, 763, 2347, 3009, 585, 26848, 9695, 568, 607, 5205, 6567, 692, 5814, 11885, 607, 5286, 454, 5814, 21267, 28272, 607, 12301, 692, 15893, 15058, 318, 9557, 815, 476, 4335, 454, 343, 318, 4812, 815, 11713, 344, 318, 4812, 815, 11713, 320, 815, 476, 271, 269, 2420, 454, 321, 815, 476, 271, 269, 4281, 692, 1721, 1775, 538, 2039, 28840, 15058, 318, 9557, 2187, 343, 815, 5286, 20179, 269, 7538, 263, 271, 269, 271, 267, 271, 269, 276, 994, 344, 815, 513, 20080, 1341, 536, 1341, 12639, 20179, 269, 7538, 263, 271, 269, 271, 267, 271, 269, 272, 264, 1535, 318, 4812, 6910, 8443, 343, 7481, 344, 318, 4812, 6910, 8443, 344, 20285, 10823, 19502, 3287, 318, 4812, 11971, 318, 4812, 267, 1412, 334, 3299, 6003, 815, 1412, 19152, 4578, 10807, 12301, 269, 5586, 754, 4590, 10823, 20481, 30800, 763, 1297, 540, 2798, 799, 568, 3144, 607, 3403, 568, 2808, 607, 3403, 1239, 269, 0, 10481, 5852, 538, 7186, 543, 538, 3203, 692, 258, 16387, 538, 7186, 543, 538, 3203, 692, 1012, 16387, 538, 7186, 543, 538, 3203, 692, 268, 910, 910, 910, 910, 910, 910, 910, 910, 910, 910, 910, 910, 910, 910, 910, 910, 910, 910, 910, 910, 910, 910, 910, 910, 910, 910, 661, 715, 667, 910, 910, 910, 910, 910, 910, 910, 910, 910, 910, 910, 910, 910, 910, 910, 910, 910, 910, 910, 910, 910, 910, 910, 910, 910, 910, 20620, 7462, 19809, 3690, 5296, 692, 272, 269, 16387, 538, 7186, 543, 538, 3203, 4303, 476, 273, 630, 279, 270, 2641, 270, 1001, 273, 264, 12143, 4147, 960, 5463, 28672, 519, 17835, 1210, 6272, 593, 2985, 476, 279, 267, 1015, 267, 476, 1556, 267, 543, 476, 3374, 265, 10576, 8086, 531, 610, 24364, 15340, 540, 707, 1374, 269, 14581, 3367, 3992, 476, 272, 269, 272, 8525, 476, 2764, 20505, 281, 3040, 2422, 9511, 547, 1711, 1148, 6272, 269, 3040, 10576, 8086, 531, 543, 24364, 15340, 780, 273, 269, 8791, 476, 272, 269, 272, 8490, 7161, 540, 16387, 4303, 476, 274, 630, 279, 270, 2420, 270, 1001, 273, 264, 12143, 4147, 4518, 5685, 880, 519, 674, 27212, 1374, 269, 630, 1428, 1295, 264, 6875, 4967, 689, 519, 700, 7374, 593, 8847, 269, 4518, 593, 519, 27148, 593, 2985, 476, 3953, 269, 14581, 8525, 476, 3451, 1948, 476, 272, 268, 1428, 782, 20505, 281, 3040, 6258, 519, 16166, 543, 519, 10035, 540, 2798, 267, 3515, 267, 12415, 267, 12345, 267, 7077, 267, 897, 15035, 543, 2941, 17427, 541, 2798, 780, 274, 269, 8791, 476, 272, 269, 272, 8490, 7161, 540, 16387, 4303, 476, 275, 630, 279, 270, 2537, 270, 1001, 273, 264, 12143, 4147, 4518, 3619, 936, 6780, 2055, 269, 14581, 8525, 476, 4097, 1948, 476, 1240, 268, 3374, 782, 20505, 281, 3040, 6258, 519, 16166, 543, 519, 10035, 540, 2798, 267, 3515, 267, 12415, 267, 12345, 267, 7077, 267, 897, 15035, 543, 2941, 17427, 541, 2798, 780, 275, 269, 24953, 5346, 4303, 476, 275, 8641, 1142, 1448, 281, 3040, 589, 263, 271, 16427, 273, 1070, 645, 8987, 272, 267, 273, 1070, 595, 630, 274, 267, 271, 1070, 667, 8987, 272, 16427, 274, 264, 8641, 543, 2012, 281, 3040, 634, 1899, 602, 10596, 998, 589, 543, 645, 269, 3040, 634, 1899, 10126, 602, 10596, 998, 667, 543, 595, 269, 3040, 634, 18422, 609, 3355, 1448, 595, 543, 10596, 998, 589, 780, 276, 269, 8791, 476, 272, 269, 272, 11068, 4812, 4303, 476, 276, 630, 279, 270, 2190, 270, 1001, 273, 264, 12143, 4147, 960, 24953, 5346, 630, 276, 1295, 264, 700, 7374, 5295, 8672, 6881, 269, 8525, 476, 4391, 1948, 476, 272, 268, 279, 782, 14581, 281, 3367, 3296, 476, 272, 269, 273, 8525, 476, 4343, 269, 20505, 281, 3040, 5623, 11282, 30268, 3959, 269, 3040, 4855, 519, 10974, 540, 519, 30268, 676, 1210, 30268, 4542, 780, 277, 269, 8791, 476, 272, 269, 273, 623, 944, 3336, 4569, 4303, 476, 277, 630, 279, 270, 2764, 270, 1001, 273, 264, 12143, 4147, 4518, 700, 7374, 15872, 3619, 936, 6201, 645, 543, 595, 2985, 476, 2412, 268, 6078, 269, 3619, 936, 2985, 476, 5655, 268, 6246, 1948, 476, 272, 267, 476, 273, 267, 476, 1428, 267, 476, 1626, 267, 476, 736, 269, 14581, 8525, 476, 5655, 268, 6246, 1948, 476, 272, 268, 1839, 782, 269, 20505, 281, 3040, 9502, 540, 513, 5086, 269, 3040, 6258, 875, 547, 1397, 519, 2268, 540, 606, 5086, 269, 3040, 28161, 5432, 609, 519, 6698, 540, 16287, 7285, 543, 21412, 7285, 780, 278, 269, 8791, 476, 272, 269, 273, 623, 944, 3336, 4569, 4303, 476, 278, 630, 279, 270, 3066, 270, 1001, 273, 264, 12143, 4147, 4518, 281, 11814, 6780, 1554, 476, 275, 269, 8525, 476, 4510, 268, 3393, 1948, 476, 4029, 268, 2412, 782, 269, 14581, 2433, 5623, 10417, 543, 10035, 540, 6810, 476, 272, 269, 272, 268, 272, 269, 273, 269, 3040, 20505, 281, 3040, 9502, 540, 513, 5086, 269, 3040, 6258, 875, 547, 1397, 519, 2268, 540, 606, 5086, 269, 3040, 28161, 5432, 609, 519, 6698, 540, 16287, 7285, 543, 21412, 7285, 780, 279, 269, 24953, 268, 909, 21196, 476, 278, 476, 272, 269, 4855, 519, 10974, 540, 519, 30268, 540, 519, 10126, 609, 519, 2016, 1439, 9557, 630, 276, 267, 279, 264, 543, 630, 274, 267, 476, 273, 1040, 476, 273, 11053, 749, 2436, 519, 3948, 2630, 568, 3006, 267, 2141, 267, 610, 2760, 3020, 269, 8081, 707, 2626, 609, 513, 17250, 269, 1403, 631, 568, 519, 30268, 540, 918, 299, 267, 1287, 631, 267, 918, 267, 543, 700, 616, 897, 15035, 780, 280, 269, 9502, 281, 24234, 645, 529, 10725, 3040, 1323, 5086, 20312, 10725, 568, 513, 18422, 602, 17337, 606, 5086, 883, 1079, 21412, 7285, 269, 3040, 808, 298, 20312, 31637, 17986, 494, 299, 297, 300, 282, 3976, 17986, 494, 299, 297, 298, 22933, 478, 15744, 494, 298, 297, 300, 780, 1015, 269, 7151, 476, 272, 3040, 918, 300, 20312, 31637, 17986, 494, 297, 298, 299, 267, 544, 15744, 494, 297, 298, 300, 284, 630, 275, 343, 1341, 476, 277, 264, 4113, 267, 543, 544, 15744, 494, 300, 298, 299, 284, 630, 278, 343, 1107, 476, 1321, 264, 4113, 269, 4855, 544, 15744, 494, 297, 298, 300, 780, 1556, 269, 1341, 1321, 1341, 1321, 7151, 476, 272, 8033, 4240, 3040, 5153, 476, 272, 4855, 1535, 269, 544, 15744, 494, 297, 298, 300, 815, 544, 15744, 494, 300, 298, 299, 4347, 269, 540, 17986, 494, 20312, 10725, 630, 275, 343, 1341, 476, 277, 264, 4113, 815, 630, 278, 343, 1107, 476, 1321, 264, 4113, 15240, 3482, 519, 2016, 2418, 269, 5410, 476, 1321, 547, 1312, 5011, 269, 476, 275, 343, 1341, 476, 1240, 815, 476, 278, 343, 22217, 1518, 269, 1107, 275, 343, 1107, 275, 343, 16265, 847, 476, 275, 343, 689, 1312, 5011, 269, 476, 1240, 815, 476, 274, 343, 19147, 1312, 5011, 676, 476, 274, 269, 476, 277, 815, 1535, 692, 1321, 269, 7151, 476, 272, 8033, 4240, 3040, 5153, 476, 273, 4855, 332, 15744, 494, 297, 298, 300, 269, 544, 15744, 494, 297, 298, 300, 815, 476, 275, 343, 1341, 476, 277, 815, 476, 275, 263, 277, 264, 1341, 476, 277, 15240, 3482, 476, 277, 585, 1535, 269, 815, 476, 1789, 27949, 364, 22217, 1518, 780, 1724, 269, 13658, 4303, 476, 279, 630, 279, 270, 1789, 270, 1001, 273, 264, 12143, 14581, 3367, 3296, 476, 272, 269, 274, 3040, 20505, 281, 3040, 13658, 593, 3296, 476, 272, 269, 272, 268, 272, 269, 273, 692, 1691, 269, 8791, 476, 272, 269, 273, 4303, 476, 279, 630, 279, 270, 1789, 270, 1001, 273, 264, 12143, 4147, 4518, 3619, 936, 519, 3636, 909, 269, 13658, 630, 1789, 1295, 3738, 14581, 3367, 3296, 476, 272, 269, 274, 3040, 20505, 281, 3040, 13760, 519, 4214, 540, 5086, 20312, 10725, 269, 3040, 2422, 519, 4214, 540, 519, 5086, 20312, 10725, 547, 1265, 519, 7508, 2427, 780, 1428, 269, 8791, 476, 272, 269, 274, 4303, 476, 280, 630, 279, 270, 4029, 270, 1001, 273, 264, 12143, 4147, 960, 3619, 936, 519, 21431, 909, 3619, 936, 519, 7688, 3619, 936, 1383, 645, 593, 2985, 476, 4366, 269, 3619, 936, 519, 7634, 593, 2985, 476, 5392, 269, 14581, 6258, 519, 8847, 540, 2027, 7285, 269, 3040, 20505, 281, 3040, 5623, 3296, 476, 272, 269, 272, 268, 272, 269, 273, 2035, 269, 3040, 6657, 547, 2328, 8847, 269, 3040, 16294, 2027, 5086, 2078, 780, 1626, 269, 24953, 268, 909, 4303, 476, 280, 630, 279, 270, 4029, 270, 1001, 273, 264, 3040, 476, 272, 269, 25767, 519, 4137, 269, 3503, 1018, 596, 917, 827, 519, 24795, 269, 715, 681, 1627, 623, 631, 692, 1704, 269, 1627, 306, 20312, 31637, 17986, 494, 303, 304, 305, 267, 544, 15744, 494, 303, 304, 306, 284, 630, 276, 344, 1107, 476, 272, 264, 4113, 267, 543, 544, 15744, 494, 303, 304, 305, 284, 630, 279, 344, 1341, 476, 1321, 264, 4113, 269, 4855, 544, 15744, 494, 303, 304, 306, 269, 24953, 909, 476, 272, 269, 4855, 519, 2268, 540, 1142, 5086, 269, 476, 273, 269, 808, 298, 20312, 31637, 17986, 494, 299, 297, 300, 267, 544, 15744, 494, 299, 297, 298, 284, 11196, 1015, 343, 1341, 476, 274, 264, 4113, 267, 543, 544, 15744, 494, 298, 297, 300, 284, 630, 1700, 343, 1341, 476, 2641, 264, 4113, 269, 4855, 544, 15744, 494, 299, 297, 300, 780, 1240, 269, 8791, 476, 272, 269, 274, 4303, 476, 1015, 630, 280, 270, 275, 270, 1001, 273, 264, 12143, 4147, 4518, 3619, 936, 519, 3636, 909, 269, 3619, 936 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 9717, 606, 5044, 5627, 715, 1913, 9967, 540, 27608, 3197, 269, 2659, 4305, 568, 547, 1265, 519, 1034, 7928, 2262, 538, 519, 5044, 269, 1403, 2789, 1913, 723, 1482, 4908, 267, 1287, 1820, 519, 2262, 4171, 1101, 1624, 675, 1338, 4386, 2063, 538, 519, 5044, 607, 3379, 547, 519, 824, 12673, 609, 1482, 4908, 780, 19152, 912, 763, 1101, 1899, 540, 519, 3403, 3568, 513, 2582, 8870, 570, 267, 3954, 7627, 519, 1297, 540, 1449, 2665, 269, 3973, 570, 1449, 2013, 5205, 269, 3962, 1449, 2013, 3568, 476, 273, 3515, 267, 519, 2450, 540, 5044, 715, 543, 715, 1913, 9674, 676, 5624, 780, 20479, 912, 2690, 1142, 1449, 13826, 267, 3977, 519, 1034, 7928, 2262, 780, 2750, 4624, 5384, 29203, 281, 744, 18217, 2608, 654, 16704, 318, 299, 2894, 1916, 2750, 4624, 589, 5060, 18416, 6611, 281, 744, 18217, 2608, 654, 16704, 318, 299, 2894, 6393, 3519, 14259, 6493, 912, 272, 10922, 570, 10922, 476, 1911, 454, 272, 10922, 715, 10922, 476, 1911, 271, 692, 7078, 912, 19152, 912, 274, 454, 274, 454, 613, 4060, 585, 575, 2465, 802, 454, 273, 454, 31435, 1158, 454, 274, 454, 16447, 2647, 2508, 692, 20479, 912, 613, 4060, 454, 16447, 454, 325, 1495, 692, 15008, 912, 14818, 13826, 476, 272, 281, 834, 613, 4060, 257, 2501, 476, 273, 2053, 563, 14818, 13826, 476, 273, 281, 834, 31435, 257, 543, 834, 16447, 257, 1312, 723, 476, 272, 4908, 269, 1284, 1820, 1158, 607, 621, 2501, 2063, 538, 519, 3403, 5044, 563, 476, 29185, 306, 815, 3403, 4590, 301, 815, 7003, 22829, 2020, 560, 815, 834, 5016, 10946, 815, 476, 271, 454, 328, 284, 271, 454, 6112, 22829, 5157, 316, 256, 6889, 834, 543, 1775, 27045, 301, 268, 272, 2187, 825, 588, 6834, 590, 5157, 2639, 825, 1775, 6834, 476, 272, 454, 825, 1820, 9217, 267, 560, 994, 825, 952, 590, 5157, 316, 2525, 257, 834, 912, 1038, 952, 590, 29644, 263, 560, 264, 285, 272, 912, 2018, 1820, 2891, 28062, 6478, 24333, 588, 994, 2018, 952, 1775, 266, 272, 283, 301, 268, 272, 543, 1775, 256, 284, 301, 268, 272, 912, 3546, 1775, 815, 1775, 266, 272, 454, 3546, 588, 815, 834, 4840, 2018, 952, 1775, 266, 272, 2652, 715, 268, 272, 912, 3546, 2736, 454, 27030, 1038, 3116, 912, 2018, 1820, 2891, 8253, 5853, 6478, 24333, 588, 994, 2018, 588, 815, 834, 4840, 2018, 952, 1775, 266, 272, 283, 301, 268, 272, 543, 1775, 256, 284, 301, 268, 272, 912, 3546, 1775, 815, 1775, 266, 272, 454, 3546, 3136, 454, 2018, 952, 1775, 266, 272, 2652, 715, 268, 272, 912, 3546, 2736, 454, 1363, 692, 18851, 476, 20603, 2451, 476, 5727, 19638, 0, 18851, 9717, 606, 5044, 540, 3982, 9981, 269, 634, 4305, 568, 547, 1293, 782, 519, 17784, 1206, 971, 602, 2040, 540, 1079, 2609, 11224, 519, 3791, 3693, 780, 19152, 912, 763, 1101, 1899, 540, 3403, 3568, 606, 8870, 570, 3954, 7627, 519, 1297, 540, 1449, 2665, 269, 3973, 570, 1449, 2665, 1246, 269, 3097, 10376, 1449, 2013, 5161, 540, 1079, 3515, 269, 3689, 1899, 540, 1142, 1449, 2013, 3568, 606, 6715, 518, 715, 3954, 7627, 2450, 540, 5044, 3097, 663, 519, 2034, 1899, 3568, 715, 2230, 9674, 2609, 780, 20479, 912, 2690, 1142, 1449, 2013, 267, 1820, 519, 1293, 540, 782, 17784, 1206, 267, 538, 1007, 1899, 269, 1403, 1100, 971, 17784, 1206, 666, 1106, 267, 1820, 29038, 272, 6231, 3519, 14259, 6493, 912, 272, 10922, 570, 10922, 476, 1911, 454, 274, 10922, 715, 10922, 476, 10755, 454, 272, 10922, 589, 5157, 316, 10922, 476, 11793, 692, 7078, 912, 19152, 912, 273, 454, 275, 454, 272, 476, 276, 476, 274, 476, 273, 454, 274, 454, 274, 476, 273, 476, 278, 454, 20479, 912, 273, 454, 268, 272, 692, 15008, 912, 14818, 13826, 476, 272, 281, 1703, 616, 476, 273, 17784, 1206, 281, 476, 272, 1341, 476, 273, 815, 476, 274, 543, 476, 274, 1341, 273, 815, 476, 276, 29185, 7531, 3698, 3406, 16216, 548, 2187, 825, 585, 1775, 538, 2039, 263, 271, 267, 301, 268, 272, 2187, 1038, 952, 561, 5157, 316, 2525, 25279, 912, 2018, 2132, 6936, 454, 825, 2132, 8771, 7531, 604, 6449, 4067, 1029, 2652, 26242, 10852, 28751, 672, 692, 825, 715, 25507, 9272, 15405, 825, 561, 17342, 2639, 825, 1293, 815, 476, 271, 454, 825, 737, 284, 271, 454, 825, 585, 1775, 538, 2039, 630, 271, 267, 301, 2187, 1038, 561, 6910, 17301, 9272, 3890, 4917, 672, 7531, 825, 585, 1775, 538, 2039, 263, 271, 267, 301, 268, 272, 2187, 1038, 585, 795, 538, 2039, 263, 272, 267, 301, 2187, 2018, 952, 630, 3406, 263, 561, 5157, 316, 1341, 561, 14728, 316, 3738, 3738, 2525, 6936, 10778, 3546, 1293, 23785, 272, 454, 825, 952, 6262, 870, 256, 284, 271, 2187, 1038, 1820, 6262, 870, 994, 825, 3116, 912, 1038, 1820, 8987, 272, 994, 3097, 8931, 672, 0, 18851, 2659, 4305, 476, 568, 547, 2936, 519, 1599, 693, 16211, 269, 3097, 763, 1599, 3217, 513, 5569, 19304, 264, 607, 4661, 543, 17838, 621, 547, 606, 8870, 543, 7024, 621, 563, 3097, 19152, 912, 763, 1101, 1899, 540, 3403, 3568, 606, 8870, 570, 3954, 7627, 519, 1100, 540, 1449, 2665, 1547, 3097, 10190, 570, 1449, 2665, 1246, 269, 3962, 1449, 2013, 3568, 513, 5569, 1193, 4586, 20479, 912, 2690, 1142, 1449, 2013, 538, 513, 1007, 1899, 3977, 786, 581, 606, 8870, 3954, 7627, 519, 10736, 8870, 267, 3097, 604, 519, 3403, 5569, 568, 711, 513, 10230, 5569, 1287, 3977, 786, 581, 910, 272, 780, 7312, 17130, 912, 28415, 519, 1599, 693, 16211, 3890, 799, 3217, 513, 5569, 607, 3403, 9936, 543, 7024, 8870, 1871, 540, 621, 269, 3097, 604, 519, 3403, 5569, 568, 711, 513, 10230, 5569, 1287, 7024, 476, 272, 269, 780, 2750, 4624, 5384, 29203, 281, 744, 263, 347, 306, 347, 1070, 1923, 306, 347, 815, 3259, 540, 5569, 590, 563, 2750, 4624, 589, 5060, 18416, 6611, 281, 744, 263, 272, 2020, 3519, 14259, 6493, 912, 272, 27045, 307, 27045, 1911, 454, 272, 27045, 26319, 540, 630, 338, 21726, 264, 27045, 1015, 692, 7078, 263, 2414, 581, 1031, 1152, 585, 4397, 3977, 264, 10778, 19152, 912, 273, 454, 11277, 454, 2641, 320, 692, 20479, 912, 11277, 454, 268, 272, 692, 15008, 912, 14818, 8865, 476, 272, 281, 6715, 518, 1871, 540, 1412, 11277, 262, 568, 476, 11277, 563, 14818, 8865, 476, 273, 281, 19243, 568, 910, 272, 607, 782, 3197, 616, 711, 7857, 1152, 269, 29185, 0, 26611, 23591, 24800, 270, 7090, 274, 692, 5814, 14854, 692, 258, 3698, 1456, 4778, 692, 3712, 832, 815, 18358, 1042, 262, 2073, 1412, 344, 3641, 3299, 1412, 13582, 3299, 1412, 20580, 921, 3299, 1412, 19990, 3299, 1412, 528, 1052, 3299, 1412, 335, 1074, 262, 6540, 258, 3553, 1575, 14854, 4050, 692, 339, 815, 14854, 10422, 523, 10797, 258, 4219, 519, 3432, 540, 519, 14854, 8528, 339, 4732, 32497, 263, 1321, 2020, 258, 577, 5190, 519, 4282, 2681, 692, 339, 31103, 12500, 326, 10233, 3488, 19009, 17210, 258, 24708, 519, 18700, 1357, 692, 1721, 1535, 538, 2039, 263, 12010, 2187, 825, 512, 4877, 523, 10233, 263, 3712, 832, 20572, 260, 277, 8079, 1948, 3553, 1154, 2681, 454, 825, 512, 9884, 5954, 3287, 270, 1911, 1341, 476, 272, 264, 1948, 3553, 1154, 8700, 454, 825, 512, 269, 3453, 3287, 264, 1948, 332, 8221, 4464, 454, 825, 512, 16000, 263, 6795, 264, 1948, 3001, 2451, 454, 339, 31103, 6155, 821, 4590, 0, 12163, 396, 498, 3522, 21162, 18194, 27593, 11012, 10528, 25986, 18547, 267, 14359, 7846, 21833, 21170, 11714, 21268, 4709, 7846, 31224, 16044, 491, 6459, 27671, 12811, 4344, 9924, 267, 17095, 30324, 18775, 9924, 3264, 31128, 13150, 9841, 11714, 476, 272, 268, 21134, 11012, 10528, 25986, 7549, 3264, 267, 14359, 3378, 14359, 20046, 11714, 3378, 476, 273, 268, 21134, 269, 2843, 508, 20500, 23845, 31224, 16044, 491, 32553, 32553, 3264, 7549, 28821, 8563, 21170, 13150, 9841, 11012, 8563, 3378, 3264, 15671, 3378, 476, 16417, 20732, 23845, 9326, 780, 396, 511, 32553, 32553, 3264, 7549, 28821, 8563, 21170, 13150, 9841, 744, 3799, 264, 1496, 302, 32384, 12759, 10857, 272, 1070, 7003, 10857, 273, 4297, 22708, 20701, 454, 3698, 3017, 10857, 272, 267, 561, 273, 2187, 825, 8173, 1038, 31560, 5284, 371, 13077, 27569, 3522, 20046, 20413, 4709, 5284, 370, 3264, 13150, 8563, 3378, 16044, 491, 6459, 27671, 12811, 4344, 13833, 267, 17095, 30324, 18775, 9924, 3264, 31128, 13150, 9841, 11714, 11012, 10528, 25986, 7549, 3264, 561, 272, 267, 14359, 3378, 14359, 20046, 11714, 11012, 10528, 25986, 7549, 3264, 561, 273, 780, 1038, 1488, 7714, 912, 2018, 561, 272, 281, 2843, 509, 21268, 8563, 9924, 13953, 11012, 10528, 25986, 30718, 563, 2018, 561, 273, 281, 31560, 4344, 18775, 26281, 11012, 10528, 25986, 30718, 780, 1038, 16849, 912, 2018, 2843, 506, 4709, 5284, 370, 3264, 13150, 8563, 3378, 16044, 491, 6459, 27671, 12811, 4344, 13833, 267, 17095, 30324, 18775, 9924, 3264, 31128, 13150, 9841, 11714, 11012, 10528, 25986, 7549, 3264, 561, 272, 267, 14359, 3378, 14359, 20046, 11714, 561, 273, 563, 825, 8173, 825, 521, 272, 815, 1305, 10857, 272, 994, 825, 521, 273, 815, 1305, 10857, 273, 994, 825, 2132, 521, 272, 910, 521, 273, 7531, 604, 6449, 4067, 1029, 2652, 21507, 10852, 23922, 825, 7682, 3017, 8443, 3910, 1496, 8079, 2652, 1305, 8443, 7481, 825, 7682, 3017, 8443, 3910, 1496, 272, 8079, 2652, 1305, 8443, 7481, 825, 7682, 3017, 8443, 272, 3910, 1496, 8079, 2652, 1305, 8443, 272, 7481, 825, 7682, 3017, 8443, 272, 267, 476, 273, 3910, 1496, 272, 267, 476, 273, 8079, 2652, 1305, 8443, 7481, 825, 7682, 3017, 8443, 272, 267, 476, 273, 3910, 1496, 274, 267, 476, 275, 8079, 2652, 1305, 8443, 272, 267, 476, 273, 7481, 825, 7682, 3017, 8443, 272, 267, 476, 273, 267, 476, 274, 267, 476, 275, 267, 476, 276, 3910, 1496, 273, 267, 476, 275, 8079, 2652, 1305, 8443, 272, 267, 476, 274, 267, 476, 276, 7481, 0, 12248, 787, 815, 3403, 9497, 16521, 513, 2197, 5602, 28134, 815, 3403, 9497, 1432, 568, 519, 2551, 15419, 2745, 630, 12248, 787, 1341, 834, 814, 513, 2551, 540, 834, 1341, 2551, 994, 0, 514, 951, 18059, 815, 10581, 9272, 2891, 382, 379, 290, 656, 21059, 513, 538, 3200, 597, 286, 834, 17903, 842, 31013, 525, 815, 10581, 9272, 2891, 382, 379, 11328, 15530, 11188, 1417, 783, 606, 783, 286, 834, 17903, 320, 10722, 657, 815, 703, 9272, 2891, 382, 379, 288, 10722, 657, 8119, 17903, 2745, 2891, 22479, 1388, 3803, 281, 834, 1341, 1193, 263, 1037, 263, 514, 951, 18059, 2608, 630, 842, 31013, 525, 1315, 476, 1911, 1341, 476, 272, 264, 2878, 513, 10722, 657, 267, 476, 273, 4297, 3418 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 21472, 2621, 11341, 547, 7508, 610, 4503, 23038, 1813, 547, 19666, 610, 2244, 10913, 269, 1809, 519, 1739, 616, 4481, 1644, 547, 20491, 24904, 667, 727, 543, 922, 5794, 12476, 693, 774, 2544, 267, 23529, 563, 268, 769, 476, 4198, 279, 267, 513, 645, 27739, 645, 268, 5325, 5899, 6737, 27826, 2458, 3660, 609, 606, 674, 268, 10436, 17939, 516, 936, 14205, 20087, 267, 11908, 269, 634, 645, 268, 5325, 779, 6046, 31139, 729, 12628, 883, 519, 9533, 7909, 676, 519, 645, 268, 5325, 269, 634, 10514, 729, 2760, 4362, 563, 268, 4746, 538, 476, 4198, 279, 267, 513, 6046, 14049, 729, 18417, 1033, 517, 730, 936, 3162, 10491, 676, 513, 10514, 27637, 20829, 513, 645, 268, 5325, 269, 634, 10514, 779, 6671, 14885, 1161, 3361, 3441, 547, 513, 7404, 15335, 563, 268, 769, 476, 3422, 272, 267, 513, 645, 268, 7367, 8009, 7018, 2282, 717, 9529, 4011, 334, 267, 3345, 10491, 269, 589, 645, 27739, 645, 268, 7367, 31854, 1993, 677, 816, 8876, 1079, 476, 274, 1700, 275, 2173, 1122, 26293, 4460, 476, 4375, 6046, 23038, 13264, 909, 538, 4571, 25101, 267, 21177, 922, 6046, 31139, 538, 519, 1184, 563, 268, 5565, 6046, 9604, 1835, 14414, 476, 2190, 5998, 7178, 540, 962, 18866, 4975, 267, 4993, 267, 538, 4728, 476, 4350, 272, 267, 1310, 606, 5794, 10414, 645, 268, 7367, 17177, 828, 4810, 606, 29252, 10920, 16054, 563, 268, 769, 476, 3422, 275, 267, 513, 645, 268, 7367, 1835, 14414, 1310, 922, 7299, 11689, 6500, 13264, 1055, 1813, 547, 7088, 31285, 269, 5565, 6046, 23038, 602, 941, 16487, 693, 519, 942, 941, 1336, 538, 519, 1647, 540, 519, 20739, 1188, 720, 269, 634, 8009, 7018, 538, 14205, 720, 13738, 267, 12275, 21884, 6019, 630, 333, 792, 29778, 7921, 267, 15930, 1916, 268, 2201, 5130, 476, 1704, 267, 476, 3422, 277, 267, 513, 918, 290, 268, 13670, 7382, 518, 8484, 543, 513, 645, 268, 7367, 7580, 17177, 828, 2458, 3660, 538, 8184, 538, 513, 1201, 340, 2454, 812, 4141, 12320, 516, 269, 901, 3361, 519, 2185, 22243, 3000, 13086, 23038, 602, 519, 645, 268, 7367, 729, 8876, 547, 1033, 778, 543, 2887, 269, 634, 2680, 5949, 538, 519, 5053, 4884, 540, 6022, 558, 4100, 267, 1325, 1067, 17144, 563, 763, 774, 2544, 25512, 6452, 1211, 454, 763, 774, 2544, 6452, 1211, 3238, 513, 2475, 5794, 10414, 645, 27739, 645, 268, 7367, 31854, 1993, 677, 816, 269, 634, 645, 268, 7367, 779, 19970, 9575, 3595, 1657, 774, 2544, 13749, 593, 5130, 476, 2641, 267, 476, 3422, 279, 269, 634, 12284, 941, 7142, 547, 10205, 519, 8484, 1354, 789, 1223, 1118, 606, 6595, 13941, 563, 306, 1460, 540, 519, 12284, 23012, 9108, 267, 855, 835, 4759, 267, 945, 1705, 711, 723, 606, 552, 20287, 10160, 267, 5747, 1247, 3843, 547, 9101, 689, 519, 8484, 563, 763, 8484, 1835, 14414, 593, 519, 4672, 2282, 774, 2544, 5794, 12476, 538, 3345, 10060, 7345, 538, 519, 1699, 1627, 320, 3570, 26698, 267, 4929, 519, 28230, 540, 519, 4027, 3800, 540, 519, 2185, 22243, 3000, 13086, 9604, 789, 941, 24317, 267, 799, 3812, 14599, 12526, 563, 10214, 1498, 1152, 835, 4759, 540, 519, 645, 268, 7367, 12284, 829, 1639, 538, 519, 774, 2544, 10071, 267, 519, 13357, 729, 2484, 689, 936, 269, 23556, 543, 14599, 2609, 689, 519, 7250, 23038, 941, 24797, 2429, 519, 4672, 1698, 269, 1773, 583, 28016, 543, 20879, 941, 1336, 538, 11606, 267, 607, 1134, 607, 555, 718, 1756, 267, 543, 5247, 1756, 563, 763, 8009, 3361, 519, 24980, 540, 32314, 15998, 540, 726, 583, 28016, 543, 824, 14599, 2326, 2059, 513, 476, 1911, 2173, 2678, 14816, 593, 1312, 5011, 540, 519, 8484, 779, 1764, 7997, 563, 763, 2136, 2276, 543, 16862, 5342, 513, 6051, 543, 2973, 5346, 5106, 630, 23330, 566, 595, 6135, 539, 10979, 1070, 799, 16768, 585, 1896, 3275, 269, 634, 4674, 729, 5176, 1085, 18636, 1194, 676, 519, 535, 3419, 573, 5210, 543, 18979, 12798, 540, 519, 11848, 269, 16661, 2175, 941, 14016, 908, 6385, 267, 609, 5210, 20034, 5471, 532, 547, 2630, 910, 3583, 5232, 18278, 543, 12798, 865, 2130, 547, 811, 982, 476, 3199, 332, 874, 269, 6736, 713, 267, 519, 6887, 5249, 1875, 17380, 2394, 519, 11935, 729, 23498, 543, 519, 10514, 15998, 941, 4362, 563, 2690, 8370, 3275, 267, 811, 982, 513, 8536, 1004, 19345, 909, 774, 2544, 269, 1358, 6170, 2673, 547, 1269, 1015, 2929, 547, 3560, 811, 982, 476, 4335, 267, 1822, 17529, 540, 26130, 1216, 269, 634, 29298, 540, 519, 774, 2544, 9568, 941, 1279, 18835, 563, 291, 4314, 4600, 945, 5280, 2973, 909, 519, 3135, 616, 12955, 540, 2860, 267, 5103, 741, 24123, 3646, 269, 769, 519, 3068, 540, 3486, 2604, 267, 595, 6135, 539, 10979, 729, 32357, 543, 922, 5718, 1793, 14414, 15174, 269, 20709, 689, 519, 2136, 2276, 543, 16862, 941, 8572, 547, 6023, 519, 14599, 2326, 1317, 789, 26218, 519, 2556, 8825, 10591, 563, 291, 4314, 13180, 6811, 941, 15653, 538, 519, 2136, 2276, 538, 476, 2735, 278, 269, 589, 11175, 609, 476, 272, 267, 10384, 12284, 2818, 729, 1500, 538, 476, 1960, 276, 676, 519, 2749, 540, 10515, 32683, 269, 901, 1650, 540, 595, 6135, 539, 10979, 267, 922, 5520, 685, 726, 697, 267, 543, 1022, 31629, 12526, 689, 519, 2136, 2276, 5170, 547, 759, 16577, 538, 519, 20636, 2046, 547, 713, 1554, 563, 23330, 566, 24904, 667, 727, 13485, 941, 17735, 5612, 1310, 519, 10071, 267, 10223, 519, 3354, 1025, 1495, 619, 543, 2797, 4220, 540, 891, 5686, 540, 13485, 269, 8232, 5773, 941, 12649, 543, 513, 3126, 540, 811, 7123, 14885, 1161, 267, 519, 865, 10777, 1202, 17567, 993, 32099, 267, 941, 2919, 563, 306, 3722, 729, 771, 7171, 539, 538, 476, 1960, 273, 676, 5518, 6723, 670, 15030, 269, 17312, 563, 306, 1460, 6046, 9604, 941, 3765, 31419, 538, 476, 1220, 278, 1310, 519, 5794, 10414, 18417, 16041, 873, 5196, 519, 4636, 8484, 269, 5221, 540, 713, 10071, 267, 590, 3722, 729, 10411, 21114, 543, 26948, 6820, 22367, 651, 16710, 1317, 519, 4108, 991, 513, 7463, 4971, 547, 4383, 922, 6046, 19070, 531, 269, 898, 27057, 814, 4971, 540, 519, 6046, 19070, 531, 540, 519, 5794, 10414, 563, 25387, 267, 972, 616, 5111, 476, 7785, 10986, 7674, 693, 774, 2544, 630, 2288, 519, 3169, 1297, 568, 7164, 1070, 513, 3575, 540, 3742, 10279, 10986, 543, 25255, 269, 1358, 4309, 7727, 3842, 513, 6928, 2899, 513, 1032, 538, 1018, 568, 1572, 20491, 623, 27468, 3619, 846, 563, 301, 13086, 10913, 616, 2484, 811, 1455, 982, 519, 1857, 568, 3366, 547, 3494, 269, 634, 5318, 5354, 616, 2901, 896, 516, 19959, 610, 3274, 4988, 909, 676, 6608, 543, 922, 2407, 3877, 1152, 17774, 3166, 5756, 2663, 7064, 547, 519, 11428, 543, 3329, 894, 1983, 540, 513, 1906, 2043, 563, 24916, 519, 2530, 540, 1272, 267, 891, 2621, 1419, 2014, 5982, 29908, 602, 521, 760, 998, 3037, 543, 1216, 883, 519, 5117, 4929, 2101, 3441, 547, 519, 1604, 267, 607, 1134, 607, 606, 5044, 540, 3676, 543, 2799, 3928, 540, 2860, 711, 1175, 538, 3425, 855, 538, 2831, 849, 563, 6624, 25096, 1205, 3274, 31002, 607, 968, 322, 3326, 8632, 3441, 5608, 865, 649, 7340, 602, 2713, 543, 7244, 2043, 609, 3885, 616, 4503, 547, 873, 543, 741, 6068, 3283, 563, 4517, 2063, 569, 267, 1018, 1419, 4991, 15763, 568, 519, 4390, 585, 3441, 689, 971, 6046, 3457, 269, 2353, 519, 1657, 268, 20197, 2665, 5645, 1896, 2053, 519, 31139, 338, 540, 670, 30090, 543, 18491, 30245, 269, 634, 6022, 558, 4100, 23038, 4805, 5645, 476, 3583, 2053, 811, 16160, 1379, 982, 519, 23038, 12628, 538, 3567, 269, 1403, 2901, 540, 1346, 23038, 1185, 1011, 10757, 267, 6634, 540, 1004, 1131, 723, 5747, 563, 2252, 1411, 17949, 539, 901, 12474, 267, 18461, 5131, 1677, 23680, 589, 17785, 2107, 16731, 2290, 2986, 634, 1975, 976, 528, 1520, 591, 1206, 454, 277, 4555, 593, 968, 763, 774, 2544, 25512, 6452, 1211, 476, 3422, 279, 281, 589, 10022, 540, 9697, 770, 13116, 15638, 7536, 2005, 779, 2182, 547, 3494, 875, 2673, 666, 581, 513, 1747, 540, 1373, 4625, 10032, 609, 16764, 593, 621, 267, 538, 1175, 513, 2339, 540, 7643, 538, 513, 3510, 899, 713, 267, 922, 32049, 454, 2005, 779, 796, 29207, 15344, 875, 513, 6046, 10514, 666, 6861, 3388, 538, 513, 2339, 540, 7643, 454, 3725, 958, 4277, 5013, 602, 596, 723, 7150, 1934, 269, 594, 2760, 4862, 540, 513, 2101, 21472, 2680, 899, 713, 547, 1491, 7366, 540, 2729, 538, 1100, 942, 269, 18831, 899, 2475, 1058, 2628, 811, 3007, 950, 789, 946, 6046, 9604, 547, 711, 10956, 713, 1686, 454, 2750, 3250, 550, 5816, 269, 1411, 1810, 1406, 1265, 971, 513, 5318, 2179, 540, 1570, 593, 519, 1641, 899, 713, 593, 519, 5769, 269, 15020, 1434, 8197, 563, 301, 13086, 543, 15571, 5562, 2598, 7539, 15907, 519, 2622, 454, 333, 13086, 10913, 267, 5982, 267, 10570, 10514, 267, 6046, 10514, 267, 6046, 1379, 2030, 267, 6046, 19720, 267, 524, 3062, 984, 2643, 267, 535, 4157, 2313, 9874, 563, 296, 2731, 899, 547, 1353, 519, 1686, 540, 519, 1158, 454, 24109, 753, 3893, 2731, 18822, 513, 1906, 2053, 891, 10913, 14201, 1406, 1256, 8338, 2336, 3725, 958, 6046, 10514, 568, 3833, 8594, 585, 1004, 269, 4658, 3893, 5963, 26752, 513, 7008, 540, 2053, 891, 32657, 2355, 14201, 1406, 19599, 811, 15265, 454, 2791, 1590, 2845, 538, 547, 2022, 513, 6085, 269, 0, 16908, 1975, 534, 540, 2659, 4826, 1261, 831, 1299, 1215, 1677, 5269, 898, 7831, 7043, 518, 454, 763, 3328, 1272, 12732, 540, 513, 7382, 1216, 22865, 568, 5216, 547, 476, 1321, 1296, 282, 2705, 267, 972, 616, 1082, 2188, 602, 979, 883, 519, 1272, 12732, 540, 513, 1216, 22865, 563, 11947, 2604, 547, 519, 1753, 1813, 547, 1100, 2604, 3146, 706, 1424, 11896, 267, 610, 513, 17528, 835, 267, 6971, 519, 1272, 12732, 540, 3388, 602, 1216, 896, 1164, 2604, 18953, 267, 1519, 519, 1216, 22865, 563, 5194, 3815, 568, 519, 1216, 2298, 543, 519, 2179, 540, 11159, 267, 6886, 267, 610, 20841, 538, 519, 1216, 267, 799, 568, 1390, 585, 11318, 4551, 855, 568, 849, 1351, 4592, 633, 269, 634, 1826, 540, 606, 1712, 11425, 538, 519, 1216, 22865, 543, 519, 11098, 540, 519, 4837, 16298, 3330, 519, 7382, 4249, 513, 3815, 538, 519, 1272, 12732, 540, 513, 1216, 22865, 607, 1134, 563, 1692, 1454, 3905, 1216, 568, 1031, 3232, 849, 4249, 513, 1909, 1317, 519, 3476, 621, 18795, 538, 519, 7382, 1510, 3001, 998, 267, 519, 18334, 621, 666, 2253, 547, 3548, 998, 519, 606, 1712, 11425, 543, 1287, 519, 4837, 16298, 563, 8139, 519, 7756, 9537, 540, 26653, 4826, 1261, 11596, 454, 288, 2757, 7382, 1216, 22865, 666, 581, 538, 513, 5008, 564, 267, 10626, 4055, 267, 27445, 4055, 267, 1140, 545, 267, 610, 25880, 269, 898, 666, 581, 13324, 676, 5201, 267, 3154, 267, 610, 4412, 2033, 269, 898, 666, 581, 513, 3044, 5887, 267, 1463, 5887, 267, 610, 1379, 5887, 269, 27603, 609, 606, 3167, 1216, 22865, 267, 596, 3580, 5469, 519, 1216, 3478, 16830, 936, 942, 610, 11385, 908, 269, 1411, 949, 991, 707, 2609, 267, 27687, 1846, 267, 610, 1312, 8719, 563, 4415, 513, 3154, 1216, 22865, 267, 596, 949, 991, 513, 1007, 5337, 3438, 267, 5687, 665, 537, 921, 267, 610, 6633, 518, 10198, 267, 610, 621, 949, 991, 547, 581, 19345, 856, 689, 7452, 543, 11935, 1107, 2523, 952, 621, 779, 538, 513, 25880, 269, 589, 3044, 5887, 1216, 22865, 814, 513, 4496, 5887, 593, 1283, 602, 4422, 2786, 909, 998, 519, 18109, 269, 589, 1463, 5887, 1216, 22865, 4422, 909, 543, 1287, 7140, 856, 519, 2427, 3774, 2047, 547, 519, 13964, 563, 288, 7382, 1216, 22865, 30599, 9188, 689, 519, 3330, 856, 2899, 519, 606, 1712, 11425, 568, 30701, 269, 634, 606, 1712, 11425, 568, 513, 9384, 4716, 11425, 602, 24643, 519, 17694, 538, 519, 1216, 543, 30599, 9188, 936, 942, 269, 4495, 519, 606, 1712, 11425, 568, 30599, 4765, 267, 621, 5956, 547, 30599, 1372, 519, 4837, 16298, 593, 519, 3330, 540, 519, 7382, 563, 14503, 5241, 1299, 27686, 2659, 4826, 1261, 831, 26653, 454, 10048, 3011, 20445, 4363, 1166, 5241, 543, 7738, 856, 707, 7382, 1216, 22865, 12422, 547, 4894, 1022, 13897, 267, 11159, 267, 543, 7777, 19221, 538, 519, 7382, 269, 898, 786, 948, 8831, 519, 1272, 12732, 540, 707, 7382, 1216, 22865, 543, 1832, 621, 4881, 811, 7561, 2094, 519, 4398, 12772, 7494, 1310, 519, 1101, 1032, 563 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1692, 547, 2422, 1753, 538, 20611, 454, 24246, 513, 1753, 538, 20611, 6539, 2228, 538, 3127, 799, 2907, 814, 5528, 547, 948, 596, 1685, 856, 519, 1753, 538, 20611, 269, 634, 1101, 1900, 568, 547, 10536, 519, 14203, 267, 2436, 4195, 610, 13792, 267, 4470, 593, 707, 7375, 543, 2436, 596, 723, 6074, 606, 7164, 610, 6444, 20033, 563, 2252, 596, 723, 3893, 513, 13792, 3732, 689, 513, 14203, 4871, 267, 596, 723, 547, 555, 1177, 621, 1354, 1210, 621, 269, 5901, 621, 693, 4055, 2837, 585, 476, 1789, 3764, 547, 798, 865, 269, 3973, 1118, 2386, 707, 3946, 616, 5265, 18233, 543, 782, 519, 3617, 1919, 616, 10322, 28895, 563, 2690, 519, 1184, 267, 7903, 519, 9133, 540, 519, 861, 16206, 585, 1753, 538, 20611, 883, 519, 14203, 3732, 543, 1491, 519, 32168, 518, 1394, 547, 6445, 621, 563, 763, 861, 16206, 1058, 581, 2973, 543, 3819, 269, 4826, 786, 6861, 519, 2281, 540, 519, 14203, 269, 17389, 1394, 609, 707, 25637, 909, 269, 23453, 519, 861, 16206, 543, 1463, 621, 547, 519, 14677, 1460, 269, 32379, 519, 861, 16206, 543, 1033, 778, 621, 269, 5901, 14084, 1524, 609, 707, 25637, 24850, 585, 3368, 606, 5662, 563, 2252, 596, 616, 1210, 513, 17818, 1698, 267, 946, 606, 11991, 861, 16206, 547, 6445, 621, 609, 513, 14203, 3732, 269, 8293, 2465, 2763, 519, 26079, 540, 519, 1698, 9900, 267, 5329, 1524, 519, 5377, 540, 519, 7484, 547, 3180, 519, 14203, 3330, 269, 23453, 621, 883, 519, 19786, 543, 946, 707, 9416, 547, 5397, 621, 607, 2484, 607, 621, 4422, 563, 3519, 576, 1516, 3884, 1406, 2141, 607, 2653, 607, 596, 1131, 723, 12479, 267, 855, 2436, 596, 2461, 10010, 547, 1205, 9176, 519, 15864, 1259, 610, 723, 4244, 4566, 585, 1920, 267, 513, 1753, 538, 20611, 6539, 786, 1205, 596, 972, 693, 1753, 269, 7427, 519, 4808, 267, 946, 519, 6539, 950, 596, 616, 1034, 15417, 267, 946, 2298, 5033, 523, 267, 543, 596, 1058, 581, 3811, 538, 1152, 513, 1906, 8942, 563, 27246, 540, 28284, 454, 763, 18492, 4783, 568, 5258, 883, 1614, 2694, 912, 763, 21155, 983, 1184, 538, 799, 519, 25073, 21155, 548, 9428, 543, 519, 4212, 1319, 999, 538, 24736, 540, 922, 5305, 563, 299, 622, 28284, 543, 6379, 454, 763, 561, 1393, 531, 5123, 538, 799, 519, 21155, 548, 32195, 543, 519, 10399, 616, 5950, 547, 9594, 519, 29897, 16298, 8259, 6379, 814, 7018, 563, 4407, 519, 561, 1393, 531, 5123, 3788, 5266, 2834, 267, 9434, 827, 476, 1691, 2395, 1310, 28284, 630, 1492, 5305, 540, 606, 4212, 568, 1175, 513, 1906, 3108, 1279, 1070, 519, 21155, 983, 5123, 666, 4268, 538, 3259, 689, 476, 1015, 547, 476, 1626, 2395, 563, 299, 622, 28284, 568, 2356, 3361, 676, 17441, 20817, 267, 602, 949, 581, 1279, 3856, 610, 2110, 3856, 267, 4470, 593, 519, 2783, 269, 2368, 1919, 602, 666, 1291, 547, 513, 17441, 19261, 1331, 912, 11947, 2566, 267, 2901, 2168, 610, 2790, 267, 949, 723, 513, 17672, 1198, 593, 513, 2603, 540, 4128, 267, 1519, 5592, 517, 958, 563, 763, 2068, 540, 519, 11178, 454, 7312, 11178, 568, 18363, 519, 30783, 14189, 269, 634, 30783, 14189, 568, 519, 2634, 3148, 3743, 585, 930, 540, 519, 10399, 2838, 585, 28284, 269, 11109, 2901, 606, 896, 5562, 610, 606, 936, 5562, 11178, 949, 2014, 2042, 609, 28284, 563, 28139, 1097, 10973, 9065, 776, 6794, 630, 303, 26714, 994, 303, 26714, 568, 513, 3510, 538, 799, 19697, 568, 936, 335, 22004, 269, 18320, 1454, 19697, 11151, 519, 30124, 689, 16089, 606, 4212, 269, 7054, 10585, 28689, 568, 513, 1455, 10835, 540, 623, 26714, 563, 303, 26714, 5540, 476, 272, 856, 540, 1169, 476, 1015, 2021, 11565, 539, 11905, 563, 303, 1503, 716, 514, 267, 519, 9449, 2838, 585, 6089, 5144, 267, 16401, 525, 28284, 267, 543, 28689, 269, 1403, 596, 6089, 12890, 4625, 267, 707, 28689, 4783, 786, 581, 11074, 950, 596, 616, 8023, 707, 4816, 454, 4913, 267, 8808, 1058, 711, 581, 1031, 607, 513, 1106, 540, 4332, 1852, 269, 29191, 1637, 786, 979, 1394, 1079, 4374, 1354, 28689, 563, 5278, 8447, 12580, 540, 28284, 454, 19102, 1078, 17818, 22024, 454, 2252, 707, 21420, 21131, 568, 2312, 267, 12701, 344, 267, 543, 5654, 899, 4212, 16543, 267, 596, 1223, 581, 9065, 6819, 610, 827, 547, 9065, 3634, 269, 901, 22024, 786, 2408, 1318, 1472, 519, 28284, 547, 948, 519, 14203, 3914, 519, 4212, 3812, 563, 2304, 2333, 538, 519, 2837, 540, 519, 21828, 1560, 454, 15368, 531, 1560, 2837, 568, 519, 2837, 950, 596, 2461, 538, 513, 1533, 540, 1964, 269, 589, 13581, 2333, 538, 707, 2837, 666, 1397, 28284, 269, 1677, 1832, 3950, 540, 707, 21828, 1560, 2837, 267, 1491, 707, 2837, 1354, 596, 1205, 856, 540, 5127, 538, 519, 6640, 543, 2594, 621, 865, 602, 596, 666, 3362, 5431, 2242, 538, 1560, 2837, 563, 299, 622, 28284, 6379, 1967, 2557, 454, 12709, 538, 20611, 1967, 3928, 616, 1360, 1164, 267, 849, 621, 4470, 593, 519, 5650, 596, 946, 585, 538, 20611, 563, 2252, 596, 1544, 547, 11654, 519, 2619, 540, 6671, 26697, 267, 519, 3328, 1762, 267, 2635, 7008, 814, 513, 476, 736, 547, 476, 4391, 2600, 5506, 540, 6379, 538, 519, 1101, 1614, 3275, 540, 519, 4693, 543, 606, 476, 3199, 2600, 5506, 540, 10703, 1516, 513, 1126, 538, 519, 1101, 1032, 540, 519, 4693, 563, 4913, 267, 950, 596, 3442, 20033, 14203, 610, 1071, 1790, 1861, 532, 267, 621, 568, 2009, 602, 596, 616, 711, 4058, 547, 32230, 676, 3232, 26697, 282, 3976, 267, 519, 4030, 585, 713, 4480, 1131, 8428, 950, 6236, 513, 1126, 563, 2691, 596, 666, 1205, 3735, 28284, 543, 6379, 1449, 2164, 563, 20751, 1079, 4374, 1753, 538, 20611, 4255, 666, 581, 2182, 267, 855, 621, 779, 4502, 621, 547, 2057, 3606, 16995, 1064, 14476, 543, 16995, 2258, 2510, 585, 1753, 6379, 4255, 269, 7427, 519, 8846, 540, 707, 16758, 543, 7227, 693, 2547, 476, 1691, 2395, 1310, 519, 769, 20611, 1354, 2921, 519, 3735, 28284, 6379, 1449, 269, 0, 7312, 2012, 568, 1018, 286, 17397, 676, 645, 329, 21417, 337, 333, 589, 269, 4425, 329, 525, 523, 593, 4455, 476, 2641, 267, 476, 1001, 278, 538, 26492, 267, 18500, 454, 295, 341, 611, 15949, 1457, 5918, 286, 630, 1432, 779, 707, 2012, 24047, 808, 1122, 15949, 1457, 2507, 32695, 827, 562, 822, 333, 27160, 630, 4067, 4882, 264, 568, 1271, 950, 1818, 1007, 2828, 269, 2913, 779, 1413, 693, 20636, 20803, 5389, 2336, 295, 5861, 269, 1656, 619, 523, 568, 4440, 519, 1034, 4583, 546, 753, 12027, 630, 291, 2033, 264, 540, 782, 942, 2507, 6145, 782, 546, 753, 651, 516, 267, 646, 779, 3893, 513, 454, 1892, 585, 333, 822, 333, 1496, 1150, 268, 3534, 3019, 316, 1107, 538, 713, 2013, 281, 17713, 4168, 1107, 543, 606, 454, 1892, 552, 1123, 333, 822, 333, 1496, 14285, 528, 268, 3534, 3019, 316, 1107, 799, 540, 1576, 568, 281, 1656, 619, 523, 454, 8923, 4063, 602, 5595, 4408, 941, 1454, 811, 1455, 950, 670, 5861, 269, 1496, 24849, 694, 327, 316, 887, 3139, 519, 10754, 630, 866, 628, 2540, 264, 1107, 2221, 1034, 667, 6951, 616, 6126, 547, 2285, 741, 1126, 513, 2582, 267, 5601, 339, 579, 19049, 19508, 333, 19241, 630, 6202, 2219, 856, 264, 562, 822, 333, 1496, 3534, 3019, 316, 256, 9462, 30904, 1656, 607, 585, 519, 4583, 910, 11420, 538, 1656, 619, 523, 1107, 1577, 779, 2132, 547, 602, 538, 513, 2034, 256, 9462, 30904, 454, 2080, 616, 519, 476, 1015, 1034, 2442, 533, 3394, 822, 928, 1496, 701, 5674, 12317, 268, 3534, 334, 821, 327, 316, 538, 476, 1001, 277, 281, 1924, 325, 807, 267, 6154, 10937, 267, 1325, 2742, 267, 23718, 267, 594, 6767, 267, 27262, 267, 11875, 320, 267, 17555, 267, 21877, 267, 8277, 325, 710, 563, 4517, 519, 476, 1015, 1034, 2442, 546, 21880, 523, 822, 928, 1496, 323, 1066, 613, 327, 268, 3534, 334, 821, 327, 13912, 25424, 267, 8841, 267, 20182, 267, 30546, 267, 5261, 267, 12359, 553, 267, 14161, 267, 2506, 559, 267, 5689, 1492, 267, 12049, 518, 1731, 563, 288, 1187, 543, 16678, 3364, 585, 30707, 547, 3605, 616, 782, 519, 4408, 602, 941, 8385, 1031, 676, 519, 31557, 267, 585, 1383, 6154, 10937, 267, 715, 13860, 267, 590, 604, 267, 774, 344, 571, 267, 717, 644, 14725, 267, 26636, 559, 267, 589, 1598, 573, 267, 3331, 483, 572, 267, 590, 580, 5090, 267, 717, 787, 585, 2021, 267, 543, 18897, 267, 1306, 651, 267, 10507, 651, 267, 645, 21186, 928, 267, 645, 21186, 651, 267, 717, 768, 267, 661, 20891, 267, 4498, 12245, 267, 2605, 603, 329, 1993, 267, 1306, 321, 329, 21417, 337, 333, 585, 2367, 563, 1103, 476, 1001, 278, 267, 7446, 513, 796, 1731, 630, 684, 1664, 264, 2012, 814, 1831, 899, 513, 7328, 585, 1082, 3237, 256, 9462, 30904, 594, 13708, 548, 546, 720, 630, 514, 519, 1496, 16591, 316, 2025, 2395, 1070, 950, 782, 667, 6951, 941, 22356, 543, 1034, 1004, 5030, 538, 3338, 2421, 518, 630, 341, 650, 1137, 1070, 1004, 1419, 3576, 621, 4443, 267, 16116, 513, 9232, 5035, 673, 892, 2012, 585, 741, 1126, 269, 9093, 941, 3335, 1572, 1919, 899, 3131, 267, 8834, 267, 744, 548, 267, 1656, 619, 267, 17713, 267, 700, 1513, 267, 715, 2812, 267, 12928, 644, 267, 808, 839, 267, 25592, 267, 4425, 267, 623, 9567, 267, 631, 6758, 2507, 630, 4517, 2021, 1185, 4408, 899, 14732, 267, 21322, 267, 631, 13873, 267, 5450, 974, 267, 27239, 267, 22527, 267, 700, 1047, 267, 28988, 267, 700, 821, 267, 667, 677, 515, 267, 15576, 9068, 267, 2558, 710, 2507, 994, 2252, 596, 1039, 910, 11420, 547, 835, 540, 519, 9232, 5035, 673, 892, 5256, 4408, 267, 596, 3580, 1034, 4440, 1439, 909, 609, 835, 540, 519, 1360, 6093, 20636, 9232, 11420, 892, 4408, 281, 22642, 523, 267, 744, 3149, 523, 267, 1656, 619, 523, 267, 17713, 523, 267, 700, 1513, 523, 267, 715, 2812, 523, 267, 12928, 644, 11420, 267, 808, 27255, 267, 623, 537, 3149, 523, 267, 631, 6758, 523, 2507, 9462, 30904, 454, 2791, 1294, 267, 8385, 667, 6951, 1185, 1100, 2063, 4408, 2507, 1358, 1152, 1185, 741, 2123, 2012, 267, 543, 6148, 513, 737, 531, 6577, 822, 333, 630, 333, 1157, 4067, 264, 1107, 1589, 827, 519, 4622, 717, 768, 3954, 31133, 548, 630, 294, 768, 519, 6196, 1040, 1403, 789, 941, 538, 8969, 945, 729, 945, 267, 789, 1131, 2161, 1919, 899, 9232, 11321, 773, 267, 744, 956, 546, 2660, 892, 630, 302, 548, 779, 8250, 264, 610, 9232, 306, 341, 754, 267, 744, 956, 521, 21417, 333, 892, 630, 302, 548, 779, 5067, 1040, 2311, 930, 1448, 538, 544, 1342, 601, 12245, 7967, 630, 1492, 5664, 12698, 264, 1004, 3323, 1210, 1920, 4408, 1107, 602, 779, 2731, 8799, 952, 596, 2461, 513, 4622, 543, 1616, 547, 2638, 602, 3025, 779, 6976, 741, 9204, 256, 9462, 30904, 1924, 267, 744, 956, 521, 21417, 333, 2968, 744, 3149, 523, 1107, 21350, 10042, 267, 513, 1224, 2096, 1228, 1920, 2012, 256, 630, 2414, 1832, 621, 2241, 267, 6690, 941, 4166, 2016, 910, 11420, 4408, 1932, 267, 3079, 540, 910, 323, 2660, 4408, 8094, 3849, 601, 523, 630, 1492, 12321, 1006, 264, 543, 936, 9383, 817, 523, 630, 1492, 5580, 1362, 264, 1419, 1185, 16681, 4436, 4408, 267, 543, 849, 1317, 540, 513, 2603, 540, 3346, 609, 5125, 267, 2413, 667, 6951, 723, 2063, 4408, 899, 5576, 331, 6686, 614, 610, 11619, 619, 577, 28704, 610, 13153, 570, 8175, 269, 4033, 667, 6951, 723, 2063, 4408, 602, 941, 4440, 519, 2012, 540, 519, 1747, 1141, 519, 3312, 1920, 1185, 741, 575, 18033, 6113, 630, 325, 1301, 264, 1107, 602, 779, 1946, 596, 4076, 3893, 2063, 4408, 899, 5487, 644, 14442, 610, 3331, 502, 337, 1154, 610, 918, 329, 19508, 337, 269, 589, 1906, 1004, 3576, 519, 2012, 540, 741, 2816, 607, 513, 21519, 1107, 8754, 645, 21417, 19049, 12027, 630, 892, 300, 6033, 540, 4446, 14843, 892, 1916, 2691, 1079, 1004, 540, 1114, 28486, 10317, 614, 521, 580, 630, 3405, 787, 264, 538, 16862, 267, 519, 4807, 3006, 23297, 547, 1491, 1200, 9393, 779, 2063, 2012, 630, 7474, 779, 875, 621, 729, 2944, 12926, 1107, 1631, 621, 666, 849, 581, 519, 824, 1259, 1472, 267, 609, 519, 812, 2921, 1010, 7385, 779, 2012, 1040, 2368, 2021, 630, 663, 2367, 1070, 1498, 267, 1832, 741, 2025, 1920, 2012, 607, 513, 5283 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 8739, 24683, 4919, 543, 4791, 2188, 585, 519, 12614, 540, 1152, 19509, 557, 540, 891, 2090, 1644, 547, 8405, 1928, 1402, 3121, 268, 512, 687, 543, 9039, 941, 1644, 547, 519, 12614, 540, 1875, 884, 857, 16667, 322, 8405, 563, 10890, 6530, 267, 4791, 6530, 267, 4638, 6408, 1436, 6604, 267, 1981, 8226, 887, 758, 267, 737, 13873, 267, 943, 323, 267, 6280, 540, 1608, 4727, 267, 17485, 2587, 7062, 12908, 26585, 267, 1514, 6530, 267, 1072, 6530, 267, 1514, 1489, 543, 1514, 5121, 269, 595, 5626, 2188, 616, 24565, 547, 723, 606, 1271, 1909, 538, 519, 12614, 267, 10335, 267, 12615, 566, 267, 610, 5826, 540, 519, 1928, 546, 519, 10835, 610, 17211, 568, 711, 17543, 3812, 610, 905, 11220, 630, 553, 538, 1249, 25875, 4524, 610, 544, 2718, 1359, 264, 552, 519, 1928, 568, 711, 1732, 20039, 585, 676, 513, 7099, 267, 4160, 267, 610, 269, 10644, 540, 519, 12614, 540, 15730, 7296, 568, 3976, 606, 1898, 5057, 540, 3646, 547, 2569, 7296, 607, 1981, 2188, 4037, 519, 3376, 6688, 602, 723, 1044, 6594, 616, 281, 7296, 1851, 547, 581, 1644, 547, 15730, 7296, 22612, 267, 5826, 543, 15752, 1765, 1721, 1383, 267, 1201, 338, 4029, 476, 6507, 941, 1644, 547, 3843, 547, 8673, 267, 10441, 1699, 7296, 267, 12893, 543, 547, 1997, 908, 609, 7296, 2828, 4817, 607, 269, 1656, 1646, 540, 4160, 267, 519, 1459, 1353, 6663, 547, 4983, 519, 31278, 16762, 1871, 540, 23913, 21084, 585, 4160, 4713, 267, 607, 1134, 607, 519, 954, 22366, 1145, 540, 23913, 21084, 609, 536, 867, 1359, 5626, 21437, 630, 773, 267, 5855, 267, 15555, 1588, 267, 5778, 339, 6291, 267, 543, 4160, 8417, 563, 21848, 693, 7296, 12614, 543, 922, 1198, 593, 7296, 29696, 22925, 5615, 476, 2190, 267, 476, 6858, 274, 268, 277, 6507, 737, 25184, 267, 737, 544, 267, 2840, 2917, 267, 513, 795, 267, 588, 987, 600, 267, 546, 795, 267, 1185, 18484, 267, 536, 267, 10720, 267, 678, 1775, 552, 519, 7681, 540, 1699, 7296, 2623, 609, 519, 7296, 2623, 540, 3237, 267, 16254, 267, 2828, 543, 838, 11817, 8213, 476, 7176, 267, 476, 280, 2537, 268, 280, 4029, 269, 24251, 5626, 2188, 28146, 7939, 5042, 19349, 2825, 2188, 891, 26447, 2188, 2408, 547, 723, 519, 6574, 7506, 593, 7296, 22612, 543, 5826, 568, 11201, 569, 1644, 547, 7296, 2623, 971, 602, 1970, 28140, 568, 2404, 609, 2799, 7296, 2623, 9344, 267, 8561, 593, 1514, 2188, 602, 3310, 7296, 12614, 267, 922, 269, 10017, 519, 2188, 3056, 547, 519, 12614, 540, 1158, 2112, 13797, 269, 11790, 267, 1699, 26447, 2188, 267, 1699, 23644, 5214, 2188, 267, 543, 2596, 8965, 519, 1292, 4305, 538, 519, 1646, 540, 519, 536, 9188, 729, 21882, 3688, 711, 1644, 547, 2589, 713, 5267, 602, 519, 12402, 547, 581, 3362, 1714, 730, 3788, 1282, 519, 5826, 3797, 1974, 543, 563, 20329, 1670, 2188, 723, 606, 1271, 1909, 538, 519, 12614, 267, 10335, 267, 12615, 566, 267, 610, 5826, 540, 519, 1928, 5626, 543, 2825, 2188, 666, 9594, 18624, 952, 519, 1367, 568, 16220, 19753, 12723, 630, 5371, 11169, 1299, 575, 2714, 525, 2006, 267, 476, 2735, 274, 269, 634, 2179, 540, 7296, 1644, 2592, 538, 8874, 5170, 547, 2333, 936, 942, 267, 5103, 519, 1249, 602, 519, 2179, 540, 7296, 538, 519, 1483, 1158, 568, 13302, 930, 1919, 596, 1522, 4413, 281, 1620, 519, 5626, 1909, 540, 7296, 666, 1118, 513, 2462, 3017, 547, 707, 1967, 693, 29655, 269, 25003, 1223, 581, 606, 1383, 540, 6219, 6057, 950, 21596, 1616, 547, 16718, 855, 1265, 789, 616, 8572, 547, 10229, 3252, 607, 513, 29692, 547, 7296, 630, 1122, 1997, 908, 12257, 543, 1187, 609, 7296, 949, 19334, 6159, 1324, 538, 21596, 855, 621, 1223, 849, 18663, 1762, 1004, 547, 1376, 7296, 269, 16723, 11605, 729, 2404, 609, 513, 30945, 540, 519, 1981, 540, 4080, 1928, 630, 617, 1091, 5223, 815, 476, 2641, 267, 476, 4817, 260, 6015, 8884, 476, 1626, 547, 476, 2767, 1070, 1247, 3344, 540, 2816, 3747, 267, 4057, 1489, 689, 9164, 267, 543, 960, 27025, 8351, 941, 782, 2404, 609, 2799, 12918, 540, 4080, 1928, 12614, 540, 1063, 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 ]
[ 0, 32101, 18737, 307, 7875, 710, 13021, 4027, 585, 32394, 2030, 454, 19613, 18737, 27409, 2129, 558, 880, 6019, 267, 6115, 267, 7330, 454, 27409, 2129, 558, 880, 6019, 267, 6115, 267, 7330, 454, 20082, 281, 589, 32394, 1379, 2030, 538, 10965, 2129, 558, 880, 6019, 267, 6115, 729, 7680, 3232, 2030, 3247, 335, 1137, 1813, 547, 24571, 3022, 15922, 12086, 269, 634, 476, 1220, 25050, 11435, 941, 19003, 519, 1216, 1031, 547, 3579, 7344, 20910, 593, 519, 2030, 779, 1079, 1062, 18434, 267, 543, 789, 941, 535, 537, 1782, 3232, 1813, 547, 519, 1164, 8514, 7190, 630, 515, 8283, 28634, 2339, 264, 540, 519, 10965, 2129, 558, 880, 5211, 267, 519, 2030, 779, 1216, 2707, 269, 0, 14937, 6468, 666, 1689, 519, 1158, 267, 799, 1797, 649, 666, 1689, 12836, 4093, 1932, 269, 2060, 602, 1379, 2501, 1713, 5539, 267, 543, 649, 1058, 1491, 602, 960, 12517, 607, 519, 9550, 540, 476, 1001, 279, 4485, 563, 7712, 519, 12497, 1436, 540, 713, 2197, 267, 3109, 2021, 723, 5129, 606, 1271, 1909, 538, 1169, 2101, 1977, 24182, 269, 1284, 723, 4847, 519, 4222, 540, 519, 4182, 547, 581, 3710, 593, 938, 16608, 1510, 2543, 547, 938, 19038, 3363, 267, 543, 1631, 568, 942, 585, 721, 547, 1796, 538, 519, 2407, 1145, 540, 938, 1379, 563, 763, 5898, 540, 23603, 532, 607, 513, 3109, 4775, 568, 29809, 676, 519, 771, 523, 325, 13361, 1047, 618, 602, 6818, 538, 1312, 938, 2797, 1184, 267, 543, 538, 519, 2797, 543, 4357, 4507, 602, 960, 547, 27298, 938, 9739, 269, 634, 4507, 602, 2014, 721, 547, 711, 2661, 938, 2407, 2729, 941, 2813, 267, 543, 3136, 547, 581, 13455, 267, 676, 1004, 543, 9988, 602, 798, 711, 1294, 721, 607, 2407, 1480, 7919, 563, 2252, 649, 616, 2479, 2469, 547, 1689, 1346, 4507, 267, 649, 1590, 1101, 12235, 856, 519, 14519, 563, 3719, 649, 723, 513, 16602, 2078, 609, 519, 835, 5428, 602, 3006, 1281, 938, 536, 27570, 269, 634, 14891, 5428, 7125, 593, 721, 267, 4563, 6468, 267, 547, 1683, 3435, 547, 519, 2152, 7282, 782, 519, 1977, 29245, 269, 1358, 7048, 593, 938, 16018, 547, 1205, 883, 267, 543, 3251, 538, 267, 5604, 269, 1284, 798, 713, 3028, 585, 519, 5428, 267, 855, 538, 2132, 23463, 649, 10355, 1294, 1483, 3435, 585, 519, 2152, 602, 2047, 1860, 721, 543, 938, 3885, 563, 27269, 2053, 267, 519, 1808, 2152, 602, 1118, 621, 2352, 547, 6330, 2486, 538, 513, 3109, 21522, 1560, 616, 711, 536, 604, 584, 322, 730, 689, 938, 3043, 4775, 13413, 269, 901, 5932, 513, 7301, 2239, 602, 649, 616, 1373, 17019, 543, 4862, 269, 1306, 4563, 6468, 267, 1284, 723, 513, 546, 7081, 547, 7753, 907, 712, 5198, 543, 938, 4008, 563, 763, 1686, 540, 4563, 2021, 538, 3013, 568, 835, 540, 1379, 267, 5104, 868, 777, 2216, 609, 3586, 771, 523, 325, 13361, 1047, 618, 269, 634, 3731, 2305, 540, 519, 9139, 11292, 24787, 547, 1367, 2829, 593, 875, 547, 20618, 17037, 269, 1879, 519, 5045, 4503, 519, 6406, 2782, 267, 1614, 25608, 2549, 754, 906, 941, 32738, 543, 3908, 713, 24787, 269, 634, 476, 1724, 628, 543, 476, 1691, 628, 22853, 27618, 8474, 543, 11292, 15114, 6606, 269, 634, 17823, 18818, 14821, 630, 6942, 271, 264, 2488, 519, 1318, 547, 8917, 7488, 540, 968, 15869, 267, 2681, 267, 610, 3105, 2783, 540, 1425, 3363, 1848, 5475, 3573, 14223, 267, 3043, 2021, 941, 11292, 519, 1318, 547, 8917, 593, 2904, 476, 866, 267, 476, 4489, 280, 269, 634, 27049, 3350, 23304, 12023, 13343, 18844, 4031, 15194, 519, 3162, 267, 711, 547, 2446, 519, 538, 947, 656, 12932, 9179, 543, 2804, 13103, 602, 519, 3109, 2021, 945, 22415, 1117, 609, 873, 5185, 269, 898, 7012, 1406, 2394, 519, 966, 7627, 7126, 2920, 540, 476, 3422, 276, 729, 5293, 602, 3109, 2021, 1223, 6368, 7119, 538, 519, 21146, 1184, 563, 763, 2601, 602, 29926, 619, 6170, 865, 1454, 942, 543, 4674, 7303, 519, 3109, 4775, 2146, 689, 13359, 543, 3136, 547, 1711, 1949, 602, 1118, 13359, 2352, 568, 1317, 789, 917, 875, 3532, 938, 8917, 568, 269, 4340, 547, 519, 6115, 5403, 267, 538, 476, 1220, 279, 543, 476, 1001, 273, 267, 3109, 2021, 20366, 693, 513, 2362, 2557, 982, 1022, 824, 1895, 269, 9050, 1296, 3516, 267, 476, 10619, 2600, 540, 14718, 3109, 2021, 4682, 547, 519, 1135, 3149, 2443, 543, 476, 9834, 2600, 20366, 585, 5518, 15525, 563, 2171, 723, 513, 10279, 711, 1152, 547, 938, 1453, 543, 2146, 267, 649, 723, 513, 10279, 547, 6000, 269, 1284, 723, 513, 1318, 547, 2661, 711, 1152, 1369, 519, 5191, 602, 568, 11292, 547, 721, 676, 519, 9139, 267, 649, 723, 513, 1318, 547, 2661, 1369, 519, 5191, 11292, 676, 938, 6071, 6228, 269, 3776, 1379, 568, 1483, 267, 1317, 938, 13359, 1379, 786, 1689, 519, 1158, 269, 1284, 666, 2911, 827, 3478, 1863, 282, 855, 4986, 786, 1689, 2394, 649, 8917, 563, 4002, 513, 19880, 588, 718, 513, 7292, 569, 9901, 4063, 729, 1336, 269, 634, 4063, 6700, 602, 3109, 1053, 941, 267, 968, 339, 1136, 936, 519, 1153, 1848, 3973, 267, 519, 1034, 11495, 543, 10795, 851, 267, 1175, 1079, 1913, 281, 968, 3333, 2393, 900, 3034, 763, 1153, 568, 5450, 1515, 773, 5244, 13474, 4303, 269, 13474, 4303, 568, 513, 2392, 7631, 2299, 3043, 4357, 1153, 538, 5450, 1515, 773, 267, 17039, 267, 513, 1016, 7875, 540, 1715, 20252, 269, 10435, 6927, 8338, 267, 519, 1153, 779, 2212, 24490, 267, 20917, 715, 2465, 569, 267, 4769, 1406, 22599, 1153, 593, 602, 1554, 269, 1261, 4769, 1406, 1256, 711, 1518, 3237, 2394, 519, 3018, 1310, 519, 10071, 5949, 269, 3427, 3401, 1336, 519, 4063, 593, 513, 11016, 2038, 538, 519, 1554, 267, 543, 1053, 7283, 538, 1153, 4352, 513, 3463, 729, 1500, 563, 14881, 1058, 723, 1044, 711, 1881, 593, 11016, 543, 952, 630, 3650, 24490, 20917, 715, 2465, 569, 264, 4769, 1406, 1616, 547, 22599, 1153, 267, 519, 3375, 1058, 723, 1044, 2451, 909, 547, 803, 2436, 594, 4941, 547, 4894, 1250, 1126, 689, 1153, 2223, 1767, 3220, 269, 27239, 6754, 267, 513, 13474, 4303, 3427, 620, 636, 3534, 543, 2385, 540, 513, 1979, 24055, 1126, 693, 519, 1153, 269, 968, 1432, 952, 1945, 29695, 5949, 18313, 763, 13474, 4303, 14268, 941, 6854, 538, 519, 4158, 827, 519, 10071, 2394, 1310, 519, 1153, 8387, 1558, 609, 1053, 267, 2495, 519, 3375, 547, 2911, 547, 1453, 267, 711, 540, 3656, 2085, 267, 827, 513, 3463, 693, 513, 1153, 729, 1500, 1510, 741, 3237, 1373, 1459, 269, 634, 1153, 543, 519, 16984, 3100, 547, 1616, 547, 2149, 2933, 1354, 7863, 1053, 538, 519, 2679, 269, 1284, 267, 607, 513, 2146, 267, 616, 9684, 995, 602, 4986, 5949, 269, 1809, 538, 2221, 779, 5790, 540, 3742, 9496, 619, 267, 594, 3494, 811, 13657, 729, 11562, 5896, 454, 1607, 10071, 568, 1175, 519, 5767, 538, 1250, 23195, 1858, 267, 540, 3527, 602, 2322, 519, 1134, 5630, 540, 938, 1453, 693, 1981, 269, 3245, 3610, 16770, 14213, 532, 1053, 543, 13197, 3347, 609, 1053, 267, 547, 4218, 5928, 32222, 547, 13599, 1053, 1317, 540, 519, 1259, 741, 4552, 568, 18908, 1194, 267, 1175, 547, 2012, 513, 1906, 563, 4407, 649, 3111, 547, 2149, 938, 3214, 689, 4890, 6937, 267, 649, 1832, 5309, 5109, 873, 585, 4625, 17062, 4128, 269, 13780, 958, 267, 649, 723, 2938, 4563, 1453, 27052, 585, 519, 2511, 540, 741, 4552, 269, 1284, 723, 2938, 5449, 1053, 9496, 909, 3506, 543, 7128, 10492, 8655, 547, 2149, 519, 1053, 538, 602, 1153, 269, 634, 9118, 1297, 540, 10514, 6937, 3506, 1205, 593, 513, 5812, 4493, 269, 3427, 4199, 10492, 945, 723, 1031, 7050, 3196, 1996, 1453, 538, 3506, 543, 1762, 1453, 2322, 538, 1688, 322, 32332, 547, 1016, 16746, 873, 693, 1153, 269, 1452, 616, 1175, 513, 1906, 1806, 540, 519, 22247, 267, 10669, 1506, 3527, 4742, 540, 513, 4439, 569, 602, 814, 1044, 10268, 538, 930, 540, 938, 3506, 538, 2487, 1296, 269, 19759, 569, 267, 713, 568, 1152, 513, 5758, 543, 513, 6071, 25135, 14653, 540, 1018, 4523, 538, 930, 540, 938, 3506, 2221, 563, 28646, 594, 6557, 2025, 6752, 539, 267, 1642, 639, 1308, 267, 610, 513, 5326, 518, 267, 855, 594, 3314, 519, 1153, 5264, 1373, 513, 2922, 1747, 540, 9675, 267, 31811, 267, 543, 29915, 566, 269, 594, 3314, 3168, 4464, 547, 7487, 1250, 9030, 267, 3610, 267, 22538, 2678, 807, 14799, 543, 23891, 3218, 269, 3733, 1153, 729, 2407, 540, 4079, 945, 23953, 883, 938, 2729, 547, 1118, 721, 1732, 269, 634, 1152, 17355, 340, 725, 594, 3314, 941, 3595, 24200, 269, 7937, 2386, 649, 1185, 22195, 267, 9015, 267, 543, 513, 4339, 610, 1079, 267, 855, 1346, 1919, 5949, 1287, 649, 6410, 593, 269, 1284, 10775, 5523, 543, 5129, 519, 19421, 267, 855, 5168, 2685, 621, 1500, 721, 27162, 615, 543, 1272, 4797, 547, 4755, 269, 594, 3274, 3314, 1153, 1373, 5963, 513, 2922, 2230, 563, 296, 7281, 602, 649, 1223, 1265, 938, 1259, 1394, 547, 713, 1586, 269, 1280, 519, 19160, 540, 938, 3214, 543, 5481, 547, 2097, 269, 769, 519, 2013, 540, 713, 4063, 1336, 693, 13474, 4303, 267, 594, 7281, 602, 621, 729, 513, 11876, 1314, 543, 18174, 880, 3527, 676, 513, 1259, 1189, 4819, 945, 2115, 547, 581, 1085, 1245, 539, 543, 1065, 3234, 663, 539, 519, 2025, 1922, 5831, 539, 1259, 269, 1306, 547, 519, 16984, 693, 5450, 1515, 773, 5244, 13474, 4303, 543, 16984, 693, 3506, 2066, 938, 4182, 267, 594, 25442, 569, 6999, 602, 596, 782, 2253, 547, 1294, 519, 9073, 538, 930, 540, 707, 3527, 543, 1118, 513, 1130, 5050, 4674, 547, 6439, 1518, 707, 1753, 547, 1153, 2962, 1544, 269, 14268, 616, 711, 593, 513, 991, 547, 917, 4493, 269, 1358, 2141, 991, 547, 917, 256, 5269, 1153, 2922, 1586, 563, 309, 7627, 3884, 1406, 1175, 513, 3364, 649, 798, 267, 621, 779, 513, 1650, 649, 2995, 543, 1780, 593, 998, 519, 5481, 269, 12267, 540, 875, 713, 1318, 729, 17956, 543, 1946, 621, 568, 547, 581, 19644, 543, 6870, 676, 1373, 1031, 269, 2060, 2038, 13359, 2390, 721, 267, 713, 3381, 6645, 1175, 513, 1906, 540, 1346, 2984, 269, 7490, 267, 1205, 856, 543, 8917, 2336, 3528, 281, 634, 9977, 968, 18770, 665, 2209, 7536, 1320, 597, 10117, 1296, 1310, 23587, 15576, 27444, 543, 476, 1911, 2395, 2094, 519, 796, 2305, 540, 782, 3506, 13059, 547, 519, 12044, 540, 20252, 3474, 880, 3427, 8274, 267, 649, 616, 1869, 2348, 7391, 827, 875, 547, 1118, 3506, 1732, 563, 2005, 779, 5963, 2295, 12577, 607, 3237, 547, 5873, 827, 543, 7198, 1978, 3871, 8345, 593, 513, 3232, 4493, 538, 2069, 269, 6969, 649, 267, 634, 9977, 968, 18770, 665, 2209, 892, 3136, 267, 649, 1131, 899, 547, 6749, 713, 771, 25068, 1318, 1631, 269, 1403, 596, 666, 1406, 6023, 519, 5168, 1373, 5143, 827, 1018, 568, 2731, 2469, 593, 538, 938, 3506, 267, 616, 596, 5963, 1930, 547, 1818, 513, 1689, 538, 2069, 286, 8627, 2336, 1692, 666, 3506, 602, 616, 17528, 938, 3214, 2087, 286, 634, 2626, 547, 713, 2243, 10355, 814, 942, 547, 1020, 269, 22062, 725, 543, 8440, 616, 4371, 267, 855, 811, 2053, 982, 711, 972, 568, 10355, 513, 3070, 1336, 269, 898, 568, 711, 5941, 1813, 547, 942, 27047, 6493, 267, 2385, 270, 10919, 640, 9525, 267, 543, 1932, 1082, 1004, 602, 616, 1459, 585, 4128, 824, 982, 938, 1453, 269, 769, 713, 3872, 26750, 267, 1082, 1004, 723, 741, 1378, 989, 31789, 693, 519, 13258, 540, 938, 1453, 543, 3885, 269, 1924, 267, 621, 3762, 721, 547, 2243, 950, 519, 3070, 786, 2965, 581, 5941, 543, 950, 786, 519, 1318, 1004, 581, 14376, 547, 519, 4901, 3349, 563, 4002, 13723, 267, 5239, 476, 274, 6113, 267, 634, 9977, 968, 18770, 665, 2209, 892, 729, 851, 540, 513, 8470, 968, 763, 3557, 540, 25943, 12140, 538, 1715, 20252, 1848, 1548, 729, 1244, 7675, 941, 519, 1297, 540, 1004, 602, 14201, 1406, 538, 20343, 269, 3509, 29153, 827, 22497, 3506, 543, 3506, 607, 513, 2898, 538, 1715, 20252, 267, 865, 968, 8489, 941, 596, 9495, 634, 28379, 1058, 723, 1044, 7555, 4055, 1152, 563, 10673, 1406, 1205, 721, 4636, 282, 7754, 1564, 543, 2146, 5717, 616, 1390, 543, 649, 1489, 873, 267, 855, 649, 1745, 621, 779, 942, 547, 1689, 1919, 909, 543, 1450, 1346, 1034, 4299, 676, 713, 1062, 547, 581, 4862, 269, 898, 779, 942, 547, 1450, 1346 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1942, 540, 5370, 4421, 855, 711, 8391, 4376, 538, 2132, 563, 268, 6258, 875, 547, 2272, 585, 6718, 7024, 543, 1018, 1450, 1734, 1058, 581, 1500, 547, 1832, 1919, 4881, 12347, 563, 15152, 519, 1463, 2328, 11325, 1505, 267, 972, 568, 1100, 991, 547, 12337, 585, 3983, 7963, 13258, 269, 14190, 766, 585, 8935, 23336, 995, 32439, 568, 3181, 1243, 3079, 540, 3983, 7963, 13258, 269, 1684, 4063, 602, 585, 513, 2256, 22133, 547, 5963, 581, 2808, 513, 3983, 7963, 267, 519, 1870, 1590, 6542, 1946, 621, 568, 796, 3712, 937, 1043, 563, 1692, 1677, 12433, 14068, 32124, 5890, 1619, 1280, 32439, 25547, 22133, 888, 8253, 3257, 865, 786, 936, 8063, 513, 1870, 779, 7221, 543, 2121, 4747, 269, 14068, 7963, 13258, 568, 606, 13258, 30309, 950, 513, 1870, 632, 2114, 513, 2256, 22133, 547, 581, 796, 3712, 937, 1043, 269, 1635, 2542, 713, 2376, 267, 596, 3580, 581, 2111, 547, 917, 1018, 3983, 7963, 568, 267, 1946, 621, 7213, 12885, 267, 543, 875, 547, 5431, 621, 538, 707, 1870, 779, 2835, 269, 1411, 4465, 1406, 581, 2111, 547, 6460, 930, 540, 707, 1870, 779, 2256, 643, 1963, 883, 6666, 269, 634, 1870, 609, 1869, 581, 8391, 6666, 602, 1259, 267, 1175, 711, 693, 519, 942, 540, 9042, 563, 3891, 779, 1031, 1010, 4282, 538, 13739, 19761, 607, 513, 1357, 14373, 15645, 1807, 267, 5639, 27492, 11285, 267, 543, 15264, 15669, 269, 16440, 2724, 1510, 27531, 2934, 596, 991, 585, 707, 1870, 269, 14068, 7963, 666, 581, 5739, 547, 707, 1870, 267, 2523, 952, 621, 4523, 4749, 269, 3502, 1373, 2111, 547, 2445, 11033, 950, 596, 1683, 513, 1434, 610, 3028, 666, 3500, 1524, 707, 6666, 2095, 269, 14068, 7963, 568, 950, 2576, 7640, 525, 596, 2724, 267, 855, 519, 7963, 3587, 4502, 1652, 1317, 596, 666, 1406, 2445, 621, 269, 6744, 532, 519, 5491, 10290, 1465, 540, 1007, 5561, 568, 1271, 547, 2327, 513, 11931, 6666, 2095, 563, 4913, 267, 952, 519, 2359, 814, 4956, 547, 2328, 1055, 930, 1808, 3666, 267, 972, 568, 513, 1808, 1184, 540, 4760, 13366, 547, 581, 4553, 269, 4746, 267, 1451, 875, 547, 5173, 8907, 538, 8051, 1210, 519, 8907, 4542, 543, 2689, 519, 9276, 4542, 269, 13760, 1018, 568, 667, 10485, 267, 1451, 922, 2956, 585, 4213, 543, 9520, 267, 543, 1294, 875, 547, 5173, 2395, 6455, 538, 11891, 998, 519, 946, 540, 1806, 269, 3627, 3459, 1010, 476, 1839, 4458, 4876, 538, 519, 21107, 1870, 607, 513, 11356, 19784, 538, 1010, 5065, 21086, 1354, 3001, 547, 11785, 538, 476, 1001, 273, 563, 3080, 540, 519, 1655, 2081, 547, 4383, 3983, 7963, 13258, 568, 547, 946, 713, 11973, 547, 6895, 6589, 2256, 22133, 585, 1699, 543, 1761, 3983, 7963, 2949, 543, 1369, 1142, 6075, 2272, 269, 1635, 4259, 1978, 29676, 585, 1699, 543, 1761, 3983, 7963, 267, 513, 2754, 666, 1491, 2962, 547, 4383, 543, 2061, 3983, 7963, 13258, 1354, 621, 4991, 856, 540, 1688, 269, 634, 32259, 547, 6589, 2256, 22133, 538, 519, 1101, 7127, 4010, 13726, 1115, 519, 5491, 538, 519, 2034, 269, 4935, 267, 519, 1482, 10916, 1764, 568, 6913, 676, 3274, 3181, 1746, 6666, 543, 3841, 1746, 519, 27108, 585, 8969, 995, 6589, 269, 1717, 267, 519, 24117, 585, 602, 2582, 7127, 568, 711, 2141, 607, 10423, 547, 513, 4098, 2875, 269, 4935, 267, 1100, 1689, 568, 1500, 538, 2883, 5515, 602, 723, 2907, 1044, 5950, 8164, 513, 10257, 16759, 18327, 547, 581, 4636, 269, 1717, 267, 3604, 602, 8451, 1058, 581, 3144, 883, 7156, 538, 2870, 1699, 543, 7766, 6898, 563, 1432, 1772, 634, 6034, 3503, 4752, 6396, 888, 763, 6871, 540, 6455, 1505, 568, 1031, 547, 3589, 519, 5993, 6455, 2208, 540, 513, 1870, 269, 6258, 811, 827, 713, 1505, 267, 875, 621, 779, 1031, 267, 543, 519, 4542, 585, 6871, 540, 6455, 9273, 269, 3973, 267, 609, 519, 948, 540, 606, 1383, 267, 2263, 8159, 519, 6455, 9472, 267, 17477, 15980, 2242, 267, 543, 9472, 539, 2883, 6898, 269, 898, 779, 1434, 2259, 547, 2594, 3983, 7963, 2328, 13726, 602, 596, 1810, 1406, 2503, 547, 2445, 585, 1082, 4128, 267, 855, 519, 1034, 1271, 568, 547, 1118, 2386, 602, 596, 1810, 1406, 936, 8063, 8907, 610, 7221, 267, 607, 1134, 607, 15271, 269, 13555, 707, 595, 5183, 952, 707, 2754, 779, 3983, 22440, 616, 593, 519, 4473, 610, 952, 707, 27108, 585, 8969, 995, 6589, 4667, 856, 540, 627, 871, 563, 2171, 666, 5173, 713, 9193, 1759, 593, 19833, 585, 519, 1032, 610, 1759, 593, 32439, 25547, 22133, 3666, 693, 519, 942, 540, 519, 7447, 1547, 3487, 7781, 338, 5719, 4226, 290, 13072, 289, 611, 7963, 13258, 1269, 1321, 267, 1822, 2704, 869, 766, 585, 3983, 7963, 1269, 1321, 267, 1822, 1607, 568, 519, 1152, 7127, 538, 519, 27108, 1505, 602, 5222, 519, 4747, 3948, 269, 13536, 13366, 585, 519, 2328, 11325, 1175, 1118, 11941, 538, 519, 3666, 6656, 267, 543, 519, 2121, 1764, 540, 519, 6881, 3788, 519, 1482, 269, 1677, 1459, 513, 3020, 543, 4023, 2070, 540, 519, 2883, 3948, 267, 2359, 2115, 547, 2327, 602, 789, 616, 8746, 827, 10655, 519, 6589, 2256, 643, 1963, 6592, 538, 519, 3666, 6656, 269, 634, 2179, 540, 519, 6589, 2256, 22133, 666, 581, 1570, 543, 1764, 519, 3375, 540, 519, 2883, 3948, 3593, 269, 9747, 267, 519, 1523, 568, 1271, 689, 606, 20894, 5133, 607, 1134, 269, 898, 779, 1271, 547, 4063, 602, 519, 5137, 540, 27108, 538, 519, 3666, 6656, 3340, 10916, 9276, 538, 519, 4747, 3948, 563, 1432, 3657, 634, 22436, 2986, 634, 14190, 766, 6396, 888, 2252, 3983, 7963, 4027, 1281, 711, 3514, 513, 2754, 779, 2115, 267, 972, 616, 8925, 269, 634, 1655, 4244, 547, 3983, 7963, 4027, 568, 4123, 5491, 6142, 267, 799, 2488, 3795, 585, 6075, 1875, 335, 599, 618, 538, 513, 2647, 2039, 540, 6381, 269, 634, 27108, 568, 1759, 593, 2188, 971, 607, 519, 2179, 540, 3983, 22440, 538, 1991, 5712, 267, 2489, 2804, 2175, 543, 2256, 643, 1963, 10172, 269, 2368, 3549, 849, 1331, 1450, 1734, 585, 7024, 267, 796, 792, 2740, 28774, 543, 8804, 10997, 269, 5502, 540, 7996, 585, 519, 4890, 2328, 11325, 540, 3983, 22440, 267, 606, 7447, 568, 3079, 1031, 547, 3313, 519, 2179, 540, 3983, 7963, 13258, 547, 581, 6444, 269, 589, 5491, 540, 1269, 276, 267, 1822, 568, 1500, 547, 519, 6589, 2256, 22133, 2272, 547, 2992, 519, 1603, 11325, 540, 3983, 7963, 563, 268, 1703, 568, 1100, 20559, 762, 4324, 689, 2348, 8242, 5515, 607, 1279, 607, 519, 3312, 7447, 729, 10257, 563, 268, 9453, 3841, 1746, 519, 32439, 25547, 22133, 1852, 2272, 267, 519, 27108, 2272, 13071, 519, 2754, 1397, 602, 930, 540, 922, 6589, 2256, 22133, 616, 4440, 796, 3712, 937, 1043, 563, 268, 14190, 766, 585, 8935, 23336, 995, 32439, 2982, 519, 6059, 2179, 540, 6811, 593, 5561, 602, 616, 4397, 547, 1831, 796, 3712, 937, 1043, 538, 519, 2104, 563, 268, 898, 779, 1759, 593, 606, 2856, 547, 7447, 519, 2530, 2179, 593, 519, 7059, 14769, 538, 519, 2104, 4470, 593, 1978, 6381, 563, 268, 1306, 596, 4076, 4121, 267, 519, 16607, 6284, 540, 3983, 7963, 3423, 919, 21781, 4338, 267, 4481, 519, 12805, 6240, 563, 15307, 23660, 3983, 7963, 1282, 513, 1974, 267, 1759, 593, 1978, 12985, 4485, 269, 634, 9819, 13292, 3983, 7963, 609, 1644, 6455, 1282, 519, 1974, 269, 634, 16759, 568, 1500, 689, 2250, 1995, 543, 2872, 4441, 269, 1879, 519, 16759, 568, 6592, 693, 519, 1439, 540, 513, 1974, 267, 519, 1739, 7127, 4386, 269, 1306, 596, 4076, 4121, 267, 519, 16607, 6284, 540, 3983, 7963, 3423, 919, 21781, 4338, 267, 4481, 519, 12805, 6240, 269, 4475, 267, 519, 1463, 2328, 11325, 1505, 568, 711, 1031, 585, 15597, 21775, 2754, 8989, 282, 519, 27108, 1505, 568, 1031, 3079, 563, 1607, 568, 1317, 519, 2179, 547, 581, 6444, 568, 2141, 3160, 547, 519, 2179, 540, 3983, 22440, 547, 581, 2854, 1055, 269, 901, 949, 2014, 519, 3983, 7963, 13258, 547, 581, 936, 26061, 610, 896, 26061, 269, 898, 568, 20952, 539, 689, 519, 6589, 2256, 22133, 547, 12446, 693, 519, 2179, 540, 2121, 2256, 643, 1963, 269, 589, 32259, 540, 1269, 276, 267, 1822, 568, 1500, 547, 519, 14068, 32124, 5890, 1619, 2272, 547, 5431, 519, 2530, 4547, 676, 519, 6284, 540, 3983, 7963, 269, 1656, 602, 779, 593, 1283, 540, 2348, 547, 2328, 1055, 6589, 2256, 22133, 799, 568, 606, 10697, 269, 898, 779, 2653, 547, 2161, 602, 3983, 7963, 568, 3361, 676, 5561, 945, 666, 1406, 610, 1810, 1406, 1616, 547, 2628, 269, 1403, 782, 3681, 941, 25356, 855, 1869, 1705, 711, 1267, 538, 513, 4015, 267, 602, 779, 519, 942, 950, 513, 2256, 22133, 3587, 3983, 7963, 563, 1692, 1677, 28787, 14068, 32124, 2201, 12525, 525, 454, 15152, 519, 27108, 1505, 267, 519, 2754, 779, 2359, 2115, 547, 2708, 519, 6871, 540, 519, 796, 3712, 937, 1043, 2179, 269, 901, 666, 581, 2944, 3842, 6455, 6871, 543, 519, 2256, 643, 1963, 3666, 269, 1717, 267, 21781, 4338, 543, 17692, 11965, 723, 9783, 5583, 267, 543, 519, 2359, 2115, 547, 2708, 4397, 2530, 547, 581, 6592, 538, 519, 3666, 6656, 269, 7201, 519, 27108, 1505, 267, 952, 519, 4179, 2517, 842, 3726, 1790, 599, 2651, 3820, 270, 1870, 7959, 513, 1808, 2272, 3666, 3112, 581, 16626, 267, 621, 779, 6569, 689, 2835, 540, 6589, 269, 901, 2328, 11325, 7127, 1152, 5222, 519, 3666, 6656, 607, 27108, 585, 2256, 643, 1963, 568, 3181, 1243, 267, 543, 6589, 2256, 22133, 568, 20295, 689, 2835, 269, 634, 14068, 13891, 1206, 5890, 1619, 3788, 693, 1269, 1015, 267, 1822, 282, 621, 568, 711, 2047, 4299, 676, 519, 4760, 7127, 2328, 11325, 563, 8196, 540, 519, 1463, 2328, 11325, 1505, 666, 2569, 519, 28252, 540, 1312, 519, 4747, 3948, 543, 3666, 6656, 269, 634, 1870, 949, 723, 519, 3609, 547, 1683, 585, 513, 1978, 2179, 1759, 593, 741, 2250, 7678, 3092, 269, 2201, 519, 14669, 267, 513, 1808, 27108, 568, 3177, 1996, 513, 1808, 2272, 3666, 269, 1280, 3236, 267, 6004, 269, 2473, 814, 9949, 539, 267, 543, 1010, 3666, 1100, 811, 4667, 547, 581, 2445, 1043, 269, 1924, 267, 519, 5137, 540, 519, 11865, 1996, 6004, 269, 2473, 568, 513, 1808, 11865, 269, 22418, 1483, 14184, 1871, 540, 2698, 6589, 2256, 22133, 786, 2333, 563, 1692, 1677, 12433, 2659, 32124, 14190, 766, 454, 763, 1808, 6871, 786, 3335, 2333, 607, 519, 2085, 540, 519, 2256, 22133, 4679, 267, 547, 2992, 2810, 9949, 1981, 543, 13302, 2445, 2225, 269, 634, 11707, 540, 519, 27108, 1505, 616, 602, 519, 3355, 7127, 568, 513, 32259, 547, 3983, 7963, 13258, 543, 513, 5491, 547, 519, 27108, 585, 8969, 995, 6589, 1547, 634, 27108, 568, 513, 15333, 2272, 267, 799, 1797, 602, 621, 568, 19610, 609, 543, 13726, 1115, 519, 6589, 2256, 22133, 2272, 269, 1879, 513, 1808, 3983, 7963, 568, 4857, 267, 519, 27108, 585, 8969, 995, 6589, 568, 3181, 1243, 543, 519, 6589, 2256, 22133, 2272, 568, 20295, 1547, 634, 27108, 1505, 5638, 606, 7447, 540, 3983, 7963, 13258, 538, 519, 1482, 8051, 1974, 607, 519, 9042, 563, 268, 589, 15395, 585, 3983, 22440, 602, 949, 2049, 538, 519, 2104, 568, 2813, 1210, 519, 27108, 1505, 563, 268, 1323, 14577, 7127, 1287, 17767, 519, 13258, 538, 519, 1482, 1974, 607, 519, 6455, 8907, 563, 268, 634, 27108, 1505, 13292, 519, 6059, 9276, 610, 9271, 689, 796, 3712, 937, 1043, 6589, 2256, 643, 1963, 1996, 519, 6455, 563, 268, 19590, 1058, 2015, 1210, 606, 27108, 585, 8969, 995, 6589, 950, 789, 616, 5781, 3246, 5370, 610, 2533, 968, 517, 5491, 892, 543, 723, 1995, 609, 519, 2445, 1464, 540, 1346, 6589, 563, 268, 589, 1713, 2179, 540, 3983, 7963, 9276, 666, 1689, 519, 1259, 1761, 9520, 543, 2754, 26933, 2070, 519, 1072, 540, 513, 2754, 563, 268, 22353, 267, 519, 2179, 540, 519, 3983, 22440, 14577, 7127, 568, 519, 3017, 1063, 519, 2838, 3666, 543, 519, 4540, 3666, 538, 519, 27108, 2272, 563, 268, 901, 7127, 568, 513, 30729, 267, 538, 519, 2179, 540, 1269, 6110, 267, 540, 519, 7127, 547, 2328, 1055, 519, 2256, 22133, 563, 1607, 10697, 4564, 1045, 7860, 602, 723, 1044, 2366, 547, 5561, 855, 616, 2943, 10002, 4660, 269, 25547, 643, 1963, 616, 9286, 896, 1699, 7221, 952, 513, 2754, 26770, 547, 2445, 873, 1369, 513, 1032, 610, 519, 5665, 4783, 267, 627, 31295, 568, 3476, 269, 589, 15333, 10697, 2272, 1572, 968, 9994, 766, 585, 8969, 995, 6589, 892 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 476, 7367, 267, 476, 4200, 278, 264, 8751, 692, 2162, 19835, 5426, 3687, 574, 1436, 10934, 6396, 692, 294, 622, 5426, 3687, 574, 1436, 10934, 6396, 29203, 540, 8800, 6388, 568, 2047, 1644, 547, 519, 6988, 540, 519, 15821, 4082, 18266, 3349, 6041, 540, 513, 1599, 568, 2189, 10789, 1227, 692, 2162, 9208, 22553, 540, 20309, 269, 3687, 614, 916, 543, 7665, 614, 916, 692, 24092, 22553, 540, 20309, 3687, 614, 916, 543, 7665, 614, 916, 9208, 3029, 540, 7215, 1284, 666, 2328, 7215, 538, 1082, 2081, 267, 855, 930, 2081, 616, 811, 3730, 982, 1866, 589, 2040, 540, 2472, 630, 306, 8008, 264, 4082, 3568, 1384, 2162, 8361, 6931, 267, 4972, 540, 15379, 543, 8950, 7177, 267, 4993, 3557, 2160, 267, 645, 5474, 7615, 17976, 476, 278, 630, 19445, 20603, 264, 5147, 476, 2190, 555, 267, 476, 1001, 273, 692, 30875, 6931, 267, 4972, 540, 15379, 543, 8950, 7177, 267, 4993, 3557, 2160, 267, 645, 5474, 7615, 17976, 476, 278, 630, 19445, 20603, 264, 5147, 476, 2190, 555, 267, 476, 1001, 273, 476, 272, 7913, 5288, 1323, 11530, 7913, 6786, 616, 9352, 282, 12746, 692, 2162, 32530, 3582, 645, 3198, 298, 11123, 570, 12239, 692, 5425, 5746, 476, 18891, 272, 8950, 9257, 543, 13909, 5678, 11553, 3722, 2316, 4753, 32530, 3582, 645, 3198, 298, 11123, 570, 12239, 476, 272, 8074, 281, 901, 4564, 513, 3732, 1305, 269, 7490, 1353, 782, 519, 3584, 689, 519, 11000, 4967, 269, 7726, 476, 272, 269, 13038, 14893, 692, 2162, 18065, 2079, 5758, 692, 22517, 18978, 10789, 18065, 2079, 5758, 2991, 4466, 519, 5547, 11378, 543, 17016, 267, 596, 666, 2097, 909, 609, 2901, 606, 4082, 610, 513, 5168, 3349, 547, 4766, 1018, 519, 5547, 1281, 269, 1411, 666, 3362, 6460, 692, 2162, 24438, 267, 7388, 618, 267, 543, 22175, 1968, 616, 2474, 1031, 538, 29491, 10789, 780, 2171, 723, 1558, 10766, 7954, 543, 4999, 540, 19235, 269, 6271, 1259, 540, 8204, 10766, 7954, 568, 998, 29491, 7223, 267, 513, 1259, 540, 7223, 1227, 8204, 7954, 19235, 269, 1411, 1058, 723, 2907, 4988, 519, 692, 2162, 645, 1177, 541, 2806, 573, 19869, 718, 320, 269, 19608, 17976, 337, 12229, 7177, 4972, 918, 30377, 2160, 692, 19868, 545, 5071, 3689, 8609, 17976, 3143, 269, 276, 29491, 10789, 645, 1177, 541, 2806, 573, 19869, 718, 320, 19608, 17976, 337, 12229, 7177, 4972, 918, 30377, 2160, 29491, 15051, 16572, 540, 29491, 10789, 16390, 540, 29491, 10789, 692, 2162, 11483, 5988, 476, 1704, 692, 11514, 4740, 9119, 11483, 476, 2918, 5988, 476, 278, 26321, 29491, 12793, 5565, 29491, 3252, 674, 543, 717, 540, 4110, 562, 616, 3160, 476, 858, 585, 782, 630, 343, 562, 267, 907, 343, 562, 3738, 645, 267, 674, 630, 343, 267, 907, 343, 562, 3738, 815, 717, 630, 343, 267, 907, 343, 562, 3738, 7151, 281, 674, 3287, 11971, 267, 345, 264, 815, 1535, 12169, 266, 345, 1070, 717, 3287, 11971, 267, 345, 2020, 2162, 5623, 269, 661, 4488, 306, 22020, 543, 5071, 9828, 585, 7913, 7010, 269, 700, 1815, 476, 4962, 29491, 20603, 476, 280, 270, 275, 268, 6860, 269, 1530, 336, 269, 18065, 10263, 269, 20895, 780, 18800, 661, 4488, 306, 476, 5611, 910, 22020, 543, 5071, 9828, 585, 7913, 7010, 700, 1815, 476, 4962, 29491, 20603, 476, 11463, 268, 6860, 6424, 595, 1638, 518, 15379, 7177, 543, 8950, 7070, 2160, 540, 4993, 267, 20588, 5071, 2095, 692, 2162, 3848, 476, 273, 281, 10395, 24676, 7010, 692, 308, 3832, 577, 4157, 342, 340, 2986, 334, 1122, 25975, 3848, 476, 273, 281, 10395, 24676, 7010, 13527, 2160, 11154, 539, 689, 21142, 16205, 990, 6308, 521, 4985, 547, 20603, 543, 8950, 5071, 681, 1497, 9050, 17176, 666, 581, 5828, 593, 610, 1055, 269, 2290, 568, 519, 6467, 692, 2162, 476, 273, 269, 272, 23030, 20603, 543, 27176, 692, 272, 661, 3633, 1220, 274, 7913, 5071, 19809, 476, 273, 281, 29491, 10789, 1306, 560, 269, 4515, 6185, 337, 269, 13259, 5471, 3331, 500, 313, 298, 7838, 307, 1306, 560, 269, 4515, 6185, 337, 670, 752, 330, 13799, 570, 269, 962, 3201, 288, 313, 3198, 9122, 593, 519, 17976, 11872, 676, 808, 2801, 9767, 978, 932, 16211, 1781, 328, 287, 4818, 269, 1087, 340, 28482, 21993, 337, 12096, 476, 1220, 271, 476, 273, 269, 272, 23030, 692, 2162, 3848, 476, 274, 269, 19835, 30071, 767, 3687, 574, 1436, 269, 4934, 6050, 692, 6637, 476, 274, 19835, 30071, 767, 3687, 574, 1436, 4985, 634, 10934, 6396, 9050, 13305, 926, 762, 10934, 12866, 13305, 926, 762, 10934, 4934, 6050, 8605, 540, 590, 4548, 22217, 2305, 5213, 512, 13282, 17148, 715, 13263, 543, 715, 3036, 23840, 4033, 5565, 30071, 767, 692, 2162, 700, 17614, 13543, 476, 275, 269, 20603, 5071, 692, 22268, 13543, 476, 275, 20603, 5071, 700, 8104, 2975, 23370, 22218, 634, 1893, 540, 519, 3684, 568, 9352, 602, 568, 267, 9696, 540, 476, 272, 521, 543, 476, 271, 521, 269, 1809, 1946, 286, 2311, 519, 8800, 1377, 267, 5904, 616, 12535, 540, 6786, 269, 1452, 6786, 1152, 723, 1079, 692, 2162, 17976, 476, 275, 281, 23840, 6730, 267, 10758, 267, 10691, 27176, 543, 7388, 618, 692, 7417, 13975, 281, 22732, 532, 7010, 17976, 476, 275, 281, 23840, 6730, 267, 10758, 267, 10691, 27176, 543, 7388, 618, 4515, 269, 962, 532, 30537, 570, 1014, 4924, 269, 476, 1724, 267, 476, 1001, 279, 4972, 540, 15379, 7177, 634, 4975, 5441, 540, 1715, 3840, 634, 4975, 2160, 692, 2162, 4985, 547, 29491, 7954, 543, 8298, 673, 27176, 692, 7072, 547, 29491, 7954, 543, 8298, 673, 27176, 4659, 540, 10803, 12096, 476, 1001, 275, 1284, 4718, 519, 2956, 540, 519, 9352, 1297, 1062, 585, 1239, 6041, 538, 513, 2780, 1062, 269, 1284, 26270, 1294, 602, 519, 4070, 692, 2162, 645, 1177, 541, 2806, 573, 19869, 718, 320, 269, 19608, 17976, 337, 12229, 7177, 4972, 918, 30377, 2160, 692, 19868, 545, 5071, 3689, 8609, 17976, 3143, 269, 277, 29491, 10789, 645, 1177, 541, 2806, 573, 19869, 718, 320, 19608, 17976, 337, 12229, 7177, 4972, 918, 30377, 2160, 4934, 6050, 29491, 15051, 16572, 540, 29491, 10789, 16390, 540, 692, 2162, 476, 277, 269, 272, 10395, 24676, 27989, 269, 6723, 4425, 1961, 630, 3738, 19863, 324, 1744, 27553, 630, 25589, 277, 269, 10395, 24676, 27989, 6723, 4425, 1961, 630, 5952, 476, 279, 5038, 264, 19863, 324, 1744, 27553, 630, 9834, 476, 273, 264, 7913, 6786, 23030, 630, 528, 9266, 3738, 2418, 281, 610, 267, 593, 610, 1055, 267, 1164, 610, 1970, 6453, 654, 2231, 269, 31666, 622, 9266, 2418, 689, 1747, 547, 1747, 780, 2162, 15331, 476, 275, 29491, 12793, 23840, 692, 16987, 2939, 476, 275, 29491, 12793, 23840, 4985, 281, 13575, 596, 786, 1265, 602, 519, 2596, 7954, 3252, 6730, 267, 10758, 267, 715, 13263, 267, 715, 3036, 267, 543, 10691, 616, 711, 6190, 547, 2936, 1950, 3059, 7954, 3252, 780, 2162, 19835, 30071, 767, 3687, 574, 1436, 692, 294, 622, 30071, 767, 3687, 574, 1436, 630, 29635, 490, 481, 22390, 360, 421, 479, 498, 16532, 1912, 269, 667, 269, 4972, 540, 8950, 3163, 2817, 932, 26820, 570, 2426, 2160, 15990, 267, 681, 20166, 5861, 269, 12096, 267, 476, 1001, 272, 561, 323, 7079, 287, 14369, 8542, 9822, 12975, 6745, 342, 5291, 2517, 4178, 6983, 338, 8542, 9822, 12975, 6745, 342, 270, 349, 671, 7079, 270, 4934, 6050, 634, 10934, 6396, 692, 2162, 10395, 24676, 20603, 1299, 27989, 692, 25582, 16927, 10395, 24676, 20603, 1299, 27989, 11354, 262, 476, 22446, 910, 20603, 5071, 8525, 11137, 23030, 7954, 4238, 543, 19235, 22732, 532, 7223, 10789, 545, 3687, 574, 1436, 9208, 3029, 31016, 2795, 10934, 3687, 574, 1436, 4033, 692, 2162, 1160, 6570, 531, 20145, 281, 29491, 10789, 543, 22217, 2305, 269, 11483, 476, 17734, 281, 19556, 25043, 540, 8950, 3163, 22819, 3240, 9652, 692, 3682, 6570, 531, 20145, 281, 29491, 10789, 543, 22217, 2305, 11483, 476, 17734, 281, 19556, 25043, 540, 8950, 3163, 22819, 3240, 9652, 1160, 6570, 531, 20145, 11762, 31802, 281, 22217, 4328, 16448, 531, 25285, 692, 2162, 11483, 30420, 281, 8950, 15339, 269, 7537, 291, 2372, 611, 11759, 692, 5425, 30420, 281, 8950, 15339, 962, 1662, 342, 656, 918, 269, 5689, 2967, 5984, 267, 7905, 4731, 2967, 5984, 287, 14369, 31815, 739, 622, 12975, 7537, 291, 2372, 611, 11759, 476, 272, 15339, 700, 16558, 8490, 7161, 27176, 267, 16212, 22286, 3591, 23398, 536, 4169, 281, 10395, 24676, 267, 14938, 1113, 19019, 692, 2162, 17976, 630, 4962, 264, 29491, 10789, 543, 20603, 27176, 692, 299, 15145, 630, 4962, 264, 29491, 10789, 543, 20603, 27176, 1635, 281, 3220, 269, 30277, 4432, 4537, 2378, 2465, 476, 405, 350, 3687, 614, 916, 543, 7665, 614, 916, 2015, 1079, 9352, 4632, 1535, 543, 586, 5916, 609, 606, 6730, 5106, 269, 4595, 1142, 341, 513, 686, 762, 949, 2408, 538, 2901, 692, 2162, 19835, 30071, 767, 3687, 574, 1436, 692, 294, 622, 30071, 767, 3687, 574, 1436, 630, 29635, 490, 481, 22390, 360, 421, 479, 498, 16532, 1912, 269, 667, 269, 4972, 540, 8950, 3163, 2817, 932, 26820, 570, 2426, 2160, 15990, 267, 681, 20166, 5861, 269, 12096, 267, 476, 1001, 278, 561, 323, 7079, 287, 14369, 8542, 9822, 12975, 6745, 342, 5291, 2517, 4178, 6983, 338, 8542, 9822, 12975, 6745, 342, 270, 349, 671, 7079, 270, 4934, 6050, 634, 10934, 6396, 692, 2162, 17976, 476, 276, 269, 3848, 476, 273, 281, 590, 30708, 476, 275, 268, 278, 692, 299, 15145, 476, 276, 3848, 476, 273, 281, 590, 30708, 476, 275, 268, 278, 20895, 29491, 12793, 1548, 616, 32588, 673, 22553, 286, 3687, 614, 916, 543, 7665, 614, 916, 12039, 23830, 540, 3687, 614, 916, 543, 7665, 614, 916, 5681, 6361, 5336, 514, 3410, 630, 306, 6865, 264, 11724, 725, 8605, 6361, 5336, 1314, 3410, 692, 2162, 29491, 7223, 269, 4873, 476, 1704, 267, 20999, 29399, 476, 272, 692, 22517, 18978, 7223, 962, 16518, 649, 14437, 827, 875, 12746, 28696, 666, 2099, 519, 9266, 2418, 3020, 543, 7301, 269, 1284, 5189, 519, 2596, 29491, 4238, 6730, 267, 10758, 543, 10691, 267, 799, 666, 581, 8045, 538, 8800, 692, 2764, 634, 17755, 3863, 6953, 650, 14992, 267, 5549, 269, 2353, 2924, 11603, 269, 476, 2764, 634, 17755, 3863, 6953, 650, 14992, 267, 5549, 269, 2353, 2924, 11603, 269, 2353, 610, 23875, 19835, 29491, 20309, 281, 589, 645, 815, 962, 18266, 7305, 630, 2465, 1985, 13472, 264, 610, 9474, 815, 962, 476, 2764, 692, 2162, 476, 277, 269, 272, 10395, 24676, 27989, 269, 6723, 4425, 1961, 630, 3738, 19863, 324, 1744, 27553, 630, 25589, 277, 269, 10395, 24676, 27989, 6723, 4425, 1961, 630, 5952, 476, 279, 5038, 264, 19863, 324, 1744, 27553, 630, 9834, 476, 273, 264, 6178, 1023, 543, 654, 2231, 7913, 6786, 23030, 630, 528, 9266, 3738, 2418, 281, 610, 267, 593, 610, 1055, 267, 1164, 610, 1970, 6453, 654, 2231, 269, 31666, 622, 3059, 6786, 692, 2162, 12143, 630, 274, 268, 277, 264, 29491, 10789, 543, 20603, 22217, 2305, 910, 4937, 5999, 692, 10112, 9892, 630, 274, 268, 277, 264, 29491, 10789, 543, 20603, 22217, 2305, 910, 4937, 5999, 476, 272, 269, 22417, 519, 1739, 590, 8008, 4082, 547, 606, 6697, 623, 5308, 4082, 269, 476, 273, 269, 14419, 519, 2418, 540, 589, 267, 645, 267, 595, 267, 543, 667, 602, 1118, 692, 2162, 29491, 10789, 543, 20603, 27176, 692, 22517, 18978, 10789, 543, 20603, 27176, 23030, 7954, 568, 1031, 538, 782, 540, 2221, 781, 3059, 5904, 543, 3457, 8779, 540, 519, 11387, 568, 606, 1271, 3815, 15531, 12863, 543, 14949, 855, 6697, 11387, 666, 692, 2162, 10395, 24676, 27989, 692, 4467, 16535, 1049, 27989, 1627, 269, 1548, 568, 513, 2036, 24676, 5547, 286, 589, 269, 7913, 281, 6786, 616, 610, 269, 589, 269, 3143, 5955, 281, 1100, 17787, 269, 12746, 11387, 281, 6786, 4268, 11179, 18615, 11387, 281, 17787, 4847, 630, 560, 599, 22934, 2020, 2162, 19835, 30071, 767, 3687, 574, 1436, 269, 645, 10933, 21172, 20603, 27989, 962, 531, 9809, 13799, 333, 17487, 364, 385, 508, 299, 2207, 692, 294, 622, 30071, 767, 3687, 574, 1436, 645, 10933, 2764, 20603, 27989, 962, 531, 9809, 13799, 333, 17487, 364, 385, 508, 299, 2207, 568, 331, 2044, 320, 287, 344, 1695, 5622, 2593, 5291, 2517, 1889, 18994, 331, 2044, 320, 2593, 29203, 540, 7913, 27989, 6034, 569, 1644, 547, 519, 6988, 540, 519, 15821, 4082, 649, 946, 547, 692, 2162, 28331, 268, 273, 29491, 10789, 692, 2419, 777, 268, 273, 29491, 10789, 12937, 281, 3733, 2012, 20895, 281, 3733, 2990, 267, 3346, 9978, 1344, 11532, 543, 2022, 3634, 540, 29491, 10789, 269, 610, 1788 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 14679, 267, 1494, 267, 24970, 267, 811, 269, 7502, 23148, 281, 23010, 267, 602, 781, 707, 1655, 914, 269, 16731, 519, 5053, 30165, 17072, 269, 6435, 6478, 27270, 281, 9105, 538, 519, 15473, 3054, 269, 7797, 606, 5470, 610, 2303, 606, 6454, 269, 2659, 1655, 914, 1131, 581, 547, 3346, 519, 12438, 619, 2047, 543, 2307, 952, 789, 1869, 723, 17914, 780, 296, 914, 267, 594, 3513, 914, 954, 329, 5793, 20287, 281, 1401, 17474, 734, 1721, 1383, 267, 834, 17764, 1100, 269, 594, 9327, 1405, 914, 593, 621, 269, 898, 781, 513, 4023, 914, 1163, 516, 343, 16054, 281, 2776, 6570, 531, 8360, 267, 30163, 658, 8360, 267, 610, 824, 8360, 610, 4082, 734, 1721, 1383, 267, 834, 2041, 16442, 519, 2053, 2437, 834, 517, 707, 1378, 269, 1411, 666, 914, 593, 621, 269, 7256, 3138, 6446, 4262, 6446, 688, 8615, 1714, 979, 321, 1512, 7224, 267, 562, 657, 642, 320, 513, 2892, 597, 7188, 3266, 780, 20075, 1100, 751, 844, 788, 320, 3288, 2367, 528, 546, 19085, 269, 1772, 1945, 1271, 7508, 269, 28161, 513, 6478, 27270, 4675, 7163, 547, 2070, 519, 3135, 740, 6954, 269, 24904, 3755, 281, 2422, 3406, 31930, 585, 519, 16595, 3406, 540, 6478, 27270, 269, 7490, 1867, 1022, 2042, 269, 1677, 946, 938, 3135, 607, 621, 568, 5497, 267, 596, 786, 991, 547, 4647, 513, 18960, 11422, 269, 634, 26292, 649, 1489, 616, 281, 5769, 25817, 476, 279, 5769, 25817, 476, 280, 5769, 25817, 476, 1015, 32288, 2135, 24904, 6380, 926, 5975, 1154, 593, 10081, 17040, 814, 1011, 10757, 538, 8560, 538, 30988, 538, 2487, 1296, 267, 543, 922, 9029, 5170, 547, 1332, 780, 763, 2497, 540, 25919, 593, 10081, 17040, 568, 2147, 547, 602, 540, 17075, 269, 634, 1034, 2596, 530, 4526, 3322, 16116, 519, 16771, 540, 513, 5198, 269, 15380, 513, 5026, 1433, 786, 1592, 476, 736, 610, 811, 1367, 10256, 2059, 609, 513, 2361, 630, 718, 1866, 264, 4781, 267, 693, 1585, 12918, 269, 1280, 1383, 267, 11518, 23583, 949, 581, 7396, 693, 476, 275, 268, 272, 267, 11518, 8738, 2023, 693, 476, 1428, 268, 272, 267, 8865, 344, 2311, 6229, 693, 476, 1911, 268, 272, 267, 3092, 269, 16790, 17040, 6474, 1575, 3981, 1431, 849, 616, 2139, 267, 538, 799, 1079, 10256, 616, 19610, 1996, 1142, 824, 538, 513, 2212, 3562, 268, 3650, 530, 4526, 267, 609, 513, 25919, 1899, 593, 1142, 9920, 1305, 676, 519, 12918, 20447, 780, 763, 9920, 609, 519, 1732, 9096, 538, 519, 5198, 17993, 519, 6474, 1575, 269, 1677, 914, 593, 13836, 267, 2995, 519, 19044, 5856, 519, 914, 1297, 540, 519, 2319, 596, 6999, 547, 914, 543, 519, 2179, 596, 6999, 547, 530, 4526, 269, 1403, 707, 2319, 17993, 519, 3014, 267, 596, 3094, 269, 634, 2628, 719, 9775, 2687, 547, 519, 12918, 11540, 780, 26015, 4252, 12918, 616, 3254, 1210, 513, 834, 300, 2292, 7412, 269, 589, 834, 2381, 639, 257, 11196, 264, 18631, 519, 1297, 6920, 519, 2319, 568, 513, 5172, 269, 1411, 666, 12446, 693, 519, 896, 27594, 781, 3902, 676, 3168, 693, 519, 5172, 781, 1899, 269, 667, 830, 3515, 616, 7444, 7106, 8960, 607, 5026, 2835, 1413, 547, 1118, 513, 3677, 7443, 1282, 1018, 568, 12926, 519, 3500, 652, 25919, 4005, 269, 11153, 2835, 1869, 2709, 546, 830, 3515, 269, 14559, 3515, 1689, 7683, 269, 634, 7396, 2724, 1899, 519, 942, 596, 1118, 707, 914, 949, 581, 1114, 689, 519, 2724, 1899, 950, 519, 3014, 6238, 780, 763, 7396, 1899, 593, 707, 19044, 568, 707, 4013, 12918, 267, 8259, 4358, 8486, 7815, 568, 4957, 269, 901, 568, 6045, 2663, 269, 1411, 949, 530, 4526, 602, 519, 2698, 6060, 540, 519, 3014, 786, 581, 811, 610, 1447, 982, 519, 1297, 7396, 269, 898, 2306, 1100, 3017, 799, 2319, 17993, 780, 8245, 2952, 1039, 519, 3803, 8464, 540, 1142, 2319, 11482, 8123, 9412, 3835, 796, 572, 730, 5892, 3768, 1030, 324, 730, 18281, 1284, 573, 2006, 538, 519, 1292, 2680, 547, 1831, 519, 18749, 1647, 7076, 22299, 538, 772, 15598, 1686, 780, 289, 2532, 578, 8752, 24581, 7076, 7170, 25142, 13744, 13643, 23194, 5309, 2583, 609, 18545, 12253, 595, 768, 1512, 607, 789, 6370, 1282, 741, 772, 15598, 9264, 4339, 693, 519, 631, 14875, 9835, 12567, 589, 1066, 320, 593, 11016, 267, 5130, 476, 273, 267, 476, 1001, 275, 269, 9509, 8292, 3609, 1230, 528, 17755, 2958, 528, 13515, 8277, 25548, 334, 585, 16595, 9096, 538, 2140, 4339, 1686, 1230, 528, 17755, 2958, 528, 2968, 811, 982, 772, 15598, 13692, 7076, 22299, 609, 1010, 476, 1724, 29364, 22545, 719, 11802, 936, 8277, 25548, 334, 780, 14611, 9315, 11778, 12736, 1676, 299, 29141, 19686, 1230, 528, 17755, 2958, 528, 297, 846, 25548, 334, 298, 333, 1442, 719, 19279, 9412, 3835, 2419, 5142, 1284, 573, 2006, 307, 298, 302, 962, 334, 601, 7931, 3266, 305, 4689, 4777, 834, 297, 659, 732, 257, 27804, 5633, 306, 5902, 17423, 5915, 1014, 8575, 807, 294, 18365, 541, 20307, 4462, 29434, 748, 17423, 7665, 4591, 869, 599, 297, 699, 3240, 5153, 2380, 4462, 29434, 748, 17423, 11261, 30631, 23175, 23164, 26969, 19613, 5239, 476, 278, 772, 15598, 476, 21327, 25414, 674, 31867, 517, 5288, 269, 24910, 10557, 20098, 30988, 281, 570, 5336, 9394, 589, 1066, 320, 5239, 476, 866, 13642, 15196, 13340, 532, 593, 661, 9915, 301, 28792, 14472, 5964, 5288, 269, 3794, 523, 24135, 807, 20098, 30988, 281, 5244, 26308, 5239, 476, 2641, 772, 15598, 674, 697, 13957, 476, 14093, 18496, 595, 20482, 821, 5288, 780, 291, 541, 1066, 570, 650, 717, 323, 13089, 267, 12996, 5239, 476, 2764, 772, 15598, 674, 697, 13957, 476, 15686, 10370, 9369, 7557, 5866, 5288, 269, 667, 699, 330, 19839, 5459, 590, 7776, 6754, 334, 5437, 476, 275, 772, 15598, 476, 24241, 7812, 645, 529, 4771, 5288, 780, 18250, 294, 2958, 528, 4339, 18838, 676, 715, 16554, 559, 12312, 333, 611, 4864, 476, 2918, 267, 476, 1001, 278, 1284, 2811, 1312, 27613, 581, 3638, 19037, 269, 1809, 875, 1454, 789, 3094, 610, 6336, 5673, 593, 519, 25919, 12918, 585, 519, 4339, 1063, 4469, 20477, 2904, 933, 1430, 543, 1230, 528, 17755, 2958, 528, 267, 799, 723, 4957, 13497, 2094, 789, 941, 1101, 6592, 269, 2904, 933, 1430, 814, 606, 11375, 3861, 476, 5392, 268, 271, 2594, 538, 4216, 532, 13292, 267, 1247, 17755, 2958, 7702, 6404, 19831, 6575, 543, 772, 15598, 25142, 13757, 711, 10692, 1022, 6986, 4216, 532, 13292, 24015, 269, 2334, 19261, 814, 1500, 2904, 933, 1430, 513, 7372, 5172, 267, 855, 2094, 519, 4339, 4266, 729, 9307, 538, 4873, 267, 519, 12918, 723, 9395, 2989, 780, 2162, 8641, 532, 26344, 6248, 12793, 692, 17829, 2338, 2154, 930, 7778, 540, 519, 20868, 25919, 12918, 1062, 1031, 538, 519, 2136, 2276, 267, 1572, 2724, 6050, 269, 1924, 519, 811, 2942, 519, 2724, 1467, 585, 606, 6364, 267, 519, 811, 2693, 25919, 6990, 1589, 602, 6364, 568, 780, 763, 7887, 23602, 267, 540, 1576, 267, 786, 581, 2904, 933, 1430, 543, 17755, 2958, 528, 267, 945, 267, 3094, 610, 6336, 267, 1796, 547, 7118, 7366, 540, 6634, 540, 9489, 269, 17755, 2958, 528, 281, 634, 5767, 12918, 543, 875, 519, 25919, 2724, 1467, 814, 4957, 936, 942, 14824, 2183, 1504, 17138, 9899, 257, 1692, 519, 12918, 723, 4957, 585, 519, 2904, 933, 1430, 5288, 780, 18250, 294, 2958, 528, 4339, 14824, 2183, 1504, 20373, 9899, 257, 763, 2724, 6050, 585, 519, 6474, 616, 3478, 6251, 543, 6251, 269, 1284, 3513, 581, 1394, 4166, 269, 30988, 8761, 519, 25919, 12918, 19928, 3176, 676, 16888, 2098, 752, 18288, 9484, 476, 277, 267, 476, 1001, 278, 9523, 901, 5403, 32655, 476, 273, 22227, 4495, 1586, 267, 12359, 553, 28291, 814, 6569, 513, 8689, 689, 513, 10060, 12668, 4670, 269, 2991, 1630, 7627, 18281, 16019, 543, 5845, 7083, 689, 519, 12390, 3752, 334, 838, 3626, 742, 713, 4832, 267, 543, 521, 14988, 1456, 717, 732, 628, 29885, 585, 2462, 759, 14833, 1824, 543, 1196, 1080, 593, 2063, 5162, 781, 681, 4084, 2290, 267, 519, 5767, 585, 338, 2586, 4670, 20447, 568, 2051, 514, 7066, 341, 6563, 267, 945, 786, 1100, 3476, 581, 693, 519, 26958, 540, 519, 2150, 12822, 9210, 28964, 26577, 780, 3528, 1631, 649, 917, 519, 16590, 281, 12359, 553, 28291, 13847, 513, 3948, 630, 528, 711, 267, 538, 519, 2013, 540, 29885, 1070, 11655, 1179, 3634, 607, 4123, 1065, 13024, 26545, 1076, 585, 5813, 267, 543, 1287, 513, 1906, 2395, 2663, 267, 513, 1007, 8689, 568, 3957, 269, 3767, 972, 781, 513, 1007, 23743, 548, 538, 519, 1184, 281, 4438, 602, 1179, 6819, 5123, 267, 1004, 666, 2322, 741, 2724, 1141, 741, 10178, 6436, 616, 676, 11093, 914, 338, 593, 945, 786, 6445, 519, 7887, 2816, 6679, 538, 519, 14925, 780, 305, 777, 3873, 601, 10507, 1706, 5633, 1568, 585, 9022, 11846, 543, 3733, 3883, 773, 267, 543, 23933, 856, 3515, 593, 711, 1152, 5026, 267, 855, 1402, 2528, 2621, 607, 1134, 269, 1261, 781, 2322, 12918, 593, 1585, 10794, 540, 774, 14772, 23538, 267, 543, 1256, 1234, 344, 781, 2385, 720, 269, 2806, 2449, 7911, 267, 543, 814, 1390, 1995, 609, 3308, 2360, 780, 9515, 1131, 1039, 513, 4775, 3310, 602, 594, 1589, 10060, 12668, 26577, 786, 723, 269, 1744, 3570, 744, 262, 10468, 559, 9484, 476, 1321, 267, 476, 1001, 278, 10060, 12668, 281, 9210, 28964, 26577, 6644, 10060, 12668, 281, 2598, 4167, 532, 519, 8689, 2242, 538, 513, 14925, 2484, 267, 2484, 2476, 12359, 553, 590, 20672, 601, 9484, 476, 276, 267, 476, 1001, 278, 10060, 12668, 10060, 12668, 281, 9210, 28964, 26577, 10060, 12668, 281, 9210, 28964, 26577, 3338, 1007, 5856, 15623, 12722, 4119, 476, 272, 267, 476, 1001, 278, 808, 269, 2806, 2449, 10060, 12668, 281, 9210, 28964, 26577, 808, 780, 6781, 2449, 3081, 646, 2760, 5497, 593, 13059, 547, 10060, 12668, 267, 865, 1018, 4957, 269, 2776, 1613, 338, 19400, 20551, 28220, 2353, 22383, 26257, 12267, 2473, 5336, 523, 32349, 1413, 1394, 693, 1018, 4682, 4636, 5842, 17630, 1290, 545, 268, 3519, 814, 4465, 922, 22028, 27779, 1996, 17865, 8235, 1290, 545, 1230, 25014, 3821, 13643, 568, 1394, 593, 519, 2816, 609, 1007, 911, 8814, 543, 5305, 4266, 780, 293, 836, 31014, 3149, 568, 827, 737, 10107, 1524, 9885, 267, 8840, 6302, 543, 14120, 4775, 11655, 609, 1187, 267, 18854, 1399, 543, 19278, 1543, 780, 309, 1122, 553, 8761, 519, 25919, 12918, 19928, 3176, 676, 16888, 2098, 752, 18288, 9484, 476, 277, 267, 476, 1001, 278, 9523, 901, 5403, 4495, 1586, 267, 12359, 553, 28291, 814, 6569, 513, 8689, 689, 513, 10060, 12668, 4670, 269, 1744, 3570, 744, 262, 10468, 559, 10060, 12668, 281, 9210, 28964, 26577, 6644, 10060, 12668, 281, 2598, 4167, 532, 519, 8689, 2242, 538, 513, 14925, 2484, 267, 2484, 2476, 12359, 553, 590, 20672, 601, 10060, 12668, 10060, 12668, 281, 9210, 28964, 26577, 10060, 12668, 281, 9210, 28964, 26577, 3338, 1007, 5856, 15623, 12722, 808, 780, 310, 718, 6941, 5967, 532, 2142, 531, 476, 272, 281, 6187, 20917, 715, 7416, 534, 523, 4388, 538, 3014, 2914, 27903, 1996, 681, 13377, 476, 272, 281, 6795, 2142, 531, 13978, 3905, 538, 4155, 3094, 936, 6129, 338, 476, 272, 281, 3953, 17659, 2917, 2142, 531, 7948, 1405, 946, 1010, 6049, 1310, 476, 7906, 15304, 3014, 476, 272, 281, 7906, 808, 6064, 625, 2119, 547, 26819, 8355, 18536, 781, 595, 748, 1231, 267, 2256, 1392, 6085, 2991, 2469, 476, 271, 268, 273, 1996, 519, 13082, 619, 543, 519, 21582, 2692, 903, 267, 519, 681, 2644, 9469, 616, 18188, 547, 1715, 3840, 585, 1776, 715, 15598, 5101, 3014, 267, 713, 3018, 1996, 519, 16902, 1218, 269, 901, 3018, 781, 3014, 568, 513, 2565, 835, 267, 865, 1454, 865, 602, 3627, 3171, 14852, 1767, 952, 519, 681, 2644, 9469, 1810, 1405, 3094, 267, 741, 4005, 568, 834, 21353, 1227, 936, 780, 1692, 547, 13772, 281, 681, 2644, 9469, 918, 1157, 4752, 2011, 338, 693, 715, 3019, 593, 11483, 301, 11068, 268, 4263, 23007, 269, 0, 290, 12973, 454, 290, 12973, 585, 8866, 454, 10403, 1353, 1570, 454, 19423, 1467, 2578, 637, 454, 5415, 454, 1805, 648, 692, 258, 19436, 10298, 585, 4147, 476, 277, 13174, 3848, 476, 274, 910, 769, 19446, 692, 8310, 8242, 4266, 281, 476, 1556, 628, 4119, 476, 1708, 275, 454, 13707, 5784, 281, 476, 27843, 330, 454, 21366, 2221, 281, 476, 276, 269, 6860, 330, 692, 1012, 19436, 10298, 585, 4147, 476, 277, 13174, 3848, 476, 274, 29892, 609, 10606, 538, 19446, 7300, 8281, 692, 12606, 519, 4147, 476, 277 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 258, 19889, 20862, 7084, 476, 272, 11354, 476, 1001, 275, 692, 10112, 9892, 476, 272, 281, 24637, 6480, 11582, 18814, 10432, 476, 274, 543, 4502, 476, 1220, 2798, 5331, 602, 596, 960, 585, 519, 20536, 540, 513, 3056, 6216, 540, 1970, 23343, 12929, 267, 13792, 14580, 822, 762, 1426, 602, 9193, 519, 1739, 3747, 3830, 585, 922, 1587, 1210, 1239, 689, 476, 2918, 2706, 5658, 1115, 1472, 519, 2197, 585, 519, 3923, 540, 4989, 269, 2690, 513, 18589, 615, 593, 4830, 543, 8200, 4632, 267, 5225, 979, 547, 20153, 807, 5889, 19050, 382, 503, 338, 19534, 543, 2689, 519, 18763, 543, 667, 8817, 25159, 5850, 267, 4092, 693, 4732, 2684, 807, 3820, 14121, 583, 3645, 338, 270, 785, 8817, 7146, 17466, 8686, 926, 1963, 1700, 274, 16357, 285, 10674, 2517, 4178, 4732, 2684, 807, 3820, 14121, 583, 3645, 338, 270, 785, 8817, 7146, 17466, 8686, 926, 1963, 1700, 274, 20166, 1632, 476, 272, 9616, 281, 763, 1739, 568, 513, 9695, 3830, 269, 9208, 6959, 616, 538, 24324, 585, 519, 3747, 585, 11097, 12033, 269, 304, 291, 815, 1107, 476, 26392, 271, 1107, 476, 5655, 303, 1341, 476, 736, 303, 311, 1341, 476, 276, 269, 273, 296, 1341, 1547, 736, 288, 1341, 1547, 1839, 300, 263, 273, 269, 16573, 264, 630, 1704, 269, 276, 264, 630, 277, 269, 273, 264, 630, 273, 269, 276, 264, 630, 271, 269, 6021, 264, 630, 271, 269, 2641, 264, 305, 273, 815, 476, 271, 269, 4649, 562, 815, 476, 2918, 674, 815, 476, 275, 269, 6434, 7312, 28643, 814, 4280, 596, 547, 12337, 519, 13412, 885, 585, 1142, 4830, 4756, 269, 27539, 519, 1739, 2418, 585, 519, 4830, 4632, 281, 304, 815, 10829, 640, 18796, 540, 476, 274, 1790, 871, 4559, 303, 630, 514, 21347, 264, 815, 12313, 540, 519, 1587, 815, 476, 4335, 21347, 829, 476, 274, 1790, 871, 1770, 303, 311, 630, 514, 21347, 264, 815, 12313, 540, 3056, 2841, 3218, 5889, 19050, 382, 503, 338, 1587, 815, 476, 7785, 21347, 829, 476, 274, 1790, 871, 1770, 296, 630, 514, 9489, 264, 815, 3131, 21027, 4747, 540, 519, 3044, 23195, 8579, 1858, 22829, 5960, 288, 264, 538, 799, 519, 2706, 5658, 1115, 616, 4092, 815, 8096, 276, 267, 4335, 288, 630, 514, 9489, 264, 815, 13600, 569, 10229, 24723, 815, 8096, 1015, 267, 1822, 300, 815, 7089, 540, 17196, 9065, 839, 4421, 538, 519, 590, 5960, 288, 538, 799, 519, 27273, 5658, 1115, 616, 4092, 815, 476, 276, 267, 1822, 29682, 476, 273, 9616, 281, 763, 1739, 568, 513, 9695, 3830, 269, 9208, 6959, 616, 538, 24324, 585, 519, 3747, 585, 11097, 12033, 269, 304, 291, 815, 910, 273, 267, 1822, 1107, 476, 1911, 303, 1341, 476, 1428, 288, 1341, 476, 1839, 303, 311, 1341, 476, 1015, 296, 263, 276, 267, 23056, 264, 630, 273, 269, 3066, 264, 630, 30589, 264, 630, 272, 269, 4037, 264, 630, 272, 269, 276, 264, 305, 273, 815, 476, 271, 269, 5952, 562, 815, 476, 6344, 674, 815, 476, 3374, 269, 1839, 7312, 28643, 814, 4280, 596, 547, 12337, 519, 13412, 885, 585, 1142, 4830, 4756, 269, 27539, 519, 1739, 2418, 585, 519, 4830, 4632, 281, 304, 815, 10829, 640, 18796, 540, 476, 274, 1790, 871, 4559, 303, 630, 514, 21347, 264, 815, 12313, 540, 519, 1587, 815, 476, 1220, 21347, 829, 476, 274, 1790, 871, 1770, 303, 311, 630, 514, 21347, 264, 815, 12313, 540, 3056, 2841, 3218, 5889, 19050, 382, 503, 338, 1587, 815, 476, 4968, 21347, 829, 476, 274, 1790, 871, 1770, 296, 630, 514, 9489, 264, 815, 3131, 21027, 4747, 540, 519, 3044, 23195, 8579, 1858, 22829, 5960, 288, 264, 538, 799, 519, 2706, 5658, 1115, 616, 4092, 815, 8096, 276, 267, 1822, 288, 630, 514, 9489, 264, 815, 13600, 569, 10229, 24723, 815, 8096, 25953, 2237, 513, 2185, 547, 3670, 630, 275, 268, 277, 264, 2985, 1957, 538, 799, 596, 281, 15253, 1393, 519, 13412, 885, 585, 1142, 4830, 4756, 269, 9616, 281, 2237, 1524, 782, 540, 707, 9273, 6185, 9057, 710, 519, 6286, 585, 1142, 540, 519, 17223, 13412, 885, 585, 519, 1870, 538, 2474, 540, 2110, 3856, 543, 1279, 3856, 14499, 2994, 269, 3629, 513, 24117, 538, 799, 596, 13712, 707, 2164, 269, 27775, 754, 2436, 596, 3494, 602, 713, 6109, 1058, 610, 1058, 711, 2759, 922, 3902, 547, 2333, 922, 2344, 2671, 269, 3629, 1489, 585, 707, 16252, 6993, 1087, 2541, 602, 782, 519, 2188, 7133, 3747, 538, 713, 2203, 2611, 519, 1482, 267, 855, 602, 519, 3902, 814, 4957, 269, 4329, 8263, 602, 519, 3902, 2242, 616, 476, 1911, 267, 476, 1220, 267, 476, 4968, 267, 476, 6110, 267, 476, 4335, 267, 476, 7785, 9489, 269, 5522, 582, 519, 3747, 7455, 585, 519, 6109, 269, 5522, 582, 519, 7222, 3761, 7455, 593, 519, 1482, 3113, 1210, 519, 1739, 14330, 1315, 3761, 1599, 1627, 815, 910, 278, 3445, 280, 269, 8660, 1341, 476, 8064, 269, 6021, 279, 280, 303, 609, 519, 1482, 5777, 6185, 9057, 710, 519, 11466, 3902, 543, 7274, 269, 11073, 1467, 519, 1713, 2188, 602, 1223, 2014, 2242, 538, 3761, 543, 3747, 585, 519, 1587, 269, 14419, 519, 3119, 6073, 538, 799, 1312, 519, 2110, 3856, 543, 519, 1279, 3856, 2242, 538, 2344, 2175, 1223, 1764, 519, 3747, 585, 267, 543, 519, 3761, 267, 540, 519, 1587, 269, 5715, 6510, 519, 2629, 2188, 602, 1223, 2014, 1318, 1189, 10593, 543, 2451, 1189, 10593, 540, 519, 3747, 543, 3761, 14258, 269, 8196, 693, 2547, 1614, 630, 274, 264, 2298, 4081, 2200, 538, 713, 7084, 269, 9616, 281, 310, 7364, 1281, 711, 20618, 607, 606, 4081, 4199, 269, 7312, 7084, 1590, 1246, 891, 11249, 4170, 281, 6826, 29921, 267, 5595, 22274, 267, 1210, 8648, 1715, 4936, 13944, 630, 21653, 476, 1321, 1070, 609, 835, 20878, 19114, 593, 782, 5011, 282, 14327, 543, 8100, 1590, 1246, 14905, 610, 1153, 10391, 3898, 269, 6744, 609, 707, 7548, 585, 1022, 3606, 5528, 16638, 2850, 513, 3382, 2985, 5627, 519, 2140, 540, 519, 7084, 267, 519, 2875, 5889, 19050, 382, 503, 338, 2012, 267, 519, 7548, 5889, 19050, 382, 503, 338, 2012, 267, 519, 1576, 2140, 267, 543, 519, 4266, 269, 634, 3382, 2985, 543, 519, 4704, 2985, 616, 711, 3769, 538, 519, 2838, 7084, 2985, 3259, 269, 0, 1729, 18934, 538, 6030, 267, 1246, 1655, 7855, 267, 2170, 609, 519, 2146, 543, 3950, 707, 3356, 563, 1321, 4245, 2676, 273, 327, 476, 276, 332, 454, 5319, 2651, 454, 28794, 454, 3682, 21793, 593, 16338, 540, 22472, 630, 514, 19446, 994, 274, 267, 22001, 4249, 692, 5415, 454, 3682, 21793, 1759, 593, 3017, 540, 5223, 692, 1012, 7203, 8705, 1955, 600, 568, 3450, 2661, 593, 1133, 659, 611, 5519, 9578, 692, 306, 541, 8705, 1955, 600, 454, 31936, 1299, 7638, 1881, 3447, 1807, 2485, 355, 1234, 18727, 589, 7034, 5357, 7473, 292, 11083, 307, 21715, 9970, 32217, 19181, 2485, 355, 15232, 3436, 476, 1428, 1296, 2485, 355, 8946, 2562, 298, 1510, 5442, 298, 692, 308, 454, 753, 26200, 737, 5984, 688, 328, 27205, 454, 1504, 737, 517, 1094, 946, 737, 13873, 613, 585, 2259, 454, 326, 644, 7778, 7162, 501, 27758, 18892, 27758, 7162, 506, 21005, 454, 14188, 596, 27205, 907, 301, 823, 8945, 543, 1523, 454, 272, 269, 10819, 593, 6520, 630, 3682, 21793, 13565, 547, 16338, 540, 22472, 264, 676, 7203, 8705, 11184, 7427, 803, 562, 339, 330, 8518, 334, 280, 27666, 281, 961, 684, 659, 611, 5519, 2593, 270, 12528, 529, 541, 8705, 692, 273, 269, 3143, 1535, 3143, 570, 4459, 3143, 16754, 8307, 10417, 3733, 6215, 25830, 568, 476, 5780, 8025, 2562, 298, 9453, 5442, 298, 7203, 8705, 11184, 476, 273, 692, 274, 269, 27010, 10748, 1466, 7813, 1849, 17064, 7813, 18161, 9399, 290, 1547, 24020, 29640, 267, 13878, 3092, 543, 824, 8013, 11400, 7203, 8705, 11184, 692, 275, 269, 2290, 10417, 585, 2353, 9978, 10819, 26321, 1047, 519, 717, 4353, 2894, 25092, 519, 11555, 12702, 7644, 3633, 692, 276, 269, 634, 1699, 2085, 3017, 540, 1488, 329, 684, 543, 24430, 684, 568, 476, 1321, 1296, 543, 741, 5223, 568, 476, 275, 281, 278, 269, 4855, 519, 1459, 2085, 540, 1488, 329, 684, 780, 277, 269, 634, 5223, 540, 1699, 2085, 540, 589, 543, 645, 568, 476, 274, 281, 279, 269, 476, 275, 1296, 1354, 741, 2085, 3017, 729, 476, 1428, 1296, 269, 4855, 519, 1459, 2085, 540, 645, 780, 278, 269, 634, 5223, 540, 1699, 2085, 540, 589, 543, 645, 568, 476, 1704, 281, 736, 269, 476, 1691, 1296, 8754, 741, 2085, 3017, 786, 476, 277, 1296, 269, 4855, 519, 2040, 540, 741, 1459, 2085, 780, 279, 269, 634, 1699, 2085, 3017, 540, 589, 543, 645, 568, 476, 1321, 1296, 543, 476, 275, 1296, 1354, 741, 5223, 729, 476, 274, 281, 275, 269, 634, 2085, 540, 589, 568, 476, 273, 811, 982, 7466, 540, 595, 269, 4855, 519, 2085, 1699, 6520, 540, 589, 815, 476, 3607, 1341, 275, 268, 2412, 7351, 6520, 540, 595, 815, 630, 2412, 268, 273, 264, 1535, 476, 272, 270, 273, 815, 476, 866, 692, 280, 269, 476, 1015, 1296, 8754, 2806, 1090, 781, 2085, 786, 476, 276, 2053, 540, 1010, 476, 1015, 1296, 3516, 2085, 269, 4855, 1010, 1699, 2085, 780, 1015, 269, 8729, 585, 654, 10248, 519, 11473, 269, 7490, 7427, 6145, 9523, 15580, 0, 258, 25226, 3126, 24626, 692, 1012, 634, 7454, 25226, 3126, 24626, 692, 13043, 666, 581, 513, 4101, 1641, 585, 1082, 1053, 269, 1809, 972, 568, 948, 2139, 538, 519, 1106, 540, 25226, 3126, 24626, 269, 2558, 30796, 3815, 568, 513, 1826, 540, 3815, 602, 666, 581, 4294, 547, 513, 1305, 540, 1239, 538, 1931, 547, 2736, 1524, 519, 1239, 883, 811, 19242, 4773, 269, 898, 568, 1031, 547, 7941, 513, 1305, 540, 3403, 4632, 883, 1079, 610, 811, 5036, 267, 1142, 5627, 513, 15410, 540, 4632, 269, 898, 568, 849, 1031, 538, 9695, 2079, 1141, 621, 666, 581, 10736, 883, 606, 5872, 2165, 630, 18314, 610, 811, 4632, 12018, 835, 1776, 693, 519, 1482, 942, 1040, 2558, 30796, 3815, 3631, 616, 1031, 538, 1082, 4610, 267, 1519, 7350, 267, 9297, 267, 7194, 543, 2797, 2257, 269, 769, 1840, 547, 12270, 1239, 883, 19242, 2516, 267, 621, 666, 849, 581, 1031, 585, 12605, 269, 1280, 1383, 267, 952, 596, 723, 476, 276, 1449, 5396, 609, 1114, 8464, 593, 513, 1449, 267, 1287, 596, 1223, 946, 513, 959, 30796, 2203, 547, 3589, 741, 3328, 6060, 585, 782, 5396, 630, 2254, 1175, 835, 1040, 634, 2418, 602, 979, 883, 519, 2203, 723, 547, 581, 1634, 25656, 269, 1280, 1383, 267, 952, 596, 1616, 547, 917, 1018, 519, 3328, 6060, 585, 782, 5396, 786, 581, 267, 1287, 596, 1131, 946, 519, 2418, 689, 1346, 476, 276, 5396, 269, 1403, 596, 4941, 547, 917, 1018, 519, 3328, 6060, 1131, 581, 585, 1142, 1641, 14350, 267, 1287, 713, 1131, 2154, 602, 596, 917, 519, 2418, 689, 1142, 1367, 1641, 269, 589, 959, 30796, 2203, 3340, 1614, 5049, 281, 1362, 476, 272, 281, 7422, 282, 1362, 476, 273, 281, 30661, 282, 543, 1362, 476, 274, 281, 3210, 269, 634, 2203, 786, 581, 4294, 538, 971, 513, 1259, 607, 547, 15652, 891, 5049, 883, 1079, 610, 811, 29162, 9286, 607, 692, 763, 3678, 26293, 21986, 525, 519, 3113, 4358, 689, 930, 6843, 267, 15211, 936, 1169, 6316, 267, 543, 11974, 952, 621, 814, 21986, 539, 782, 8728, 269, 1403, 621, 814, 711, 267, 1287, 621, 5170, 547, 29906, 519, 3113, 543, 10956, 713, 1184, 2394, 621, 814, 21986, 539, 782, 8728, 269, 634, 1267, 540, 713, 1184, 568, 513, 1592, 540, 2009, 10092, 689, 519, 1376, 6843, 547, 1022, 824, 6843, 538, 519, 3113, 269, 1452, 10092, 786, 14183, 519, 2597, 543, 3259, 10148, 540, 519, 1966, 269, 769, 1931, 547, 1265, 891, 10092, 7561, 267, 835, 1522, 991, 547, 6218, 873, 538, 6252, 267, 799, 666, 581, 2352, 547, 798, 538, 1483, 1158, 3156, 269, 634, 3752, 591, 585, 1535, 729, 1101, 2919, 676, 717, 2946, 337, 731, 632, 3288, 966, 718, 19902, 623, 748, 7562, 693, 13852, 8534, 14898, 538, 476, 3422, 278, 269, 3571, 960, 5280, 2482, 519, 24536, 585, 1082, 2663, 7835, 538, 7856, 7384, 543, 1804, 4336, 11938, 6620, 971, 607, 20533, 32319, 2718, 543, 9184, 340, 3406, 269, 1717, 267, 1010, 3312, 3678, 26293, 729, 3908, 547, 2241, 11708, 899, 667, 8980, 338, 630, 323, 20526, 1035, 5670, 545, 11708, 264, 1141, 1169, 6316, 568, 22051, 676, 4010, 835, 1770, 269, 4595, 1287, 1082, 692 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 2834, 2213, 31200, 815, 14938, 1113, 8443, 454, 1038, 667, 1619, 263, 5038, 267, 11852, 815, 1412, 516, 1663, 3299, 17830, 318, 30976, 6500, 8782, 515, 318, 684, 6134, 22779, 825, 9186, 318, 30976, 6500, 8782, 2158, 3299, 17830, 318, 10585, 6500, 815, 2834, 9088, 7456, 273, 263, 7076, 318, 20657, 599, 1070, 476, 3403, 318, 27729, 815, 630, 6358, 318, 27729, 314, 271, 3910, 264, 13211, 1038, 667, 1619, 263, 12553, 267, 11852, 815, 1412, 516, 1663, 3299, 330, 14533, 318, 10585, 6500, 815, 2834, 9088, 7456, 273, 263, 7076, 318, 20657, 599, 264, 13211, 1038, 667, 1619, 263, 12553, 267, 11852, 815, 1412, 516, 1663, 3299, 330, 14533, 318, 10585, 6500, 815, 2834, 9088, 7456, 273, 263, 7076, 318, 20657, 599, 264, 13211, 1038, 29100, 719, 5560, 1886, 719, 318, 3433, 13211, 1038, 667, 1619, 263, 12553, 267, 11852, 815, 1412, 516, 1663, 3299, 330, 14533, 318, 10585, 6500, 815, 2834, 9088, 7456, 273, 263, 7076, 318, 20657, 599, 264, 13211, 1038, 667, 1619, 263, 12553, 267, 11852, 815, 1412, 516, 1663, 3299, 330, 14533, 318, 10585, 6500, 815, 2834, 9088, 7456, 273, 263, 7076, 318, 20657, 599, 264, 13211, 1038, 645, 2255, 31863, 1436, 263, 13211, 1038, 667, 1619, 263, 5038, 267, 11852, 815, 1412, 516, 1663, 3299, 330, 14533, 318, 10585, 6500, 815, 2834, 9088, 7456, 273, 263, 7076, 318, 20657, 599, 264, 13211, 1038, 667, 1619, 263, 5038, 267, 11852, 815, 1412, 516, 1663, 3299, 330, 14533, 318, 10585, 6500, 815, 2834, 9088, 7456, 273, 263, 7076, 318, 20657, 599, 264, 13211, 1038, 29100, 719, 5560, 1886, 719, 318, 3433, 13211, 1038, 667, 1619, 263, 5038, 267, 11852, 815, 1412, 516, 1663, 3299, 330, 14533, 318, 10585, 6500, 815, 2834, 9088, 7456, 273, 263, 7076, 318, 20657, 599, 264, 13211, 1038, 667, 1619, 263, 5038, 267, 11852, 815, 1412, 516, 1663, 3299, 330, 14533, 318, 10585, 6500, 815, 2834, 9088, 7456, 273, 263, 7076, 318, 20657, 599, 264, 13211, 1038, 667, 1619, 263, 274, 267, 11852, 815, 262, 7809, 10946, 5073, 825, 476, 7481, 8931, 825, 2132, 2834, 2213, 31200, 454, 672, 7531, 258, 476, 2971, 2382, 656, 5573, 267, 29289, 543, 5721, 519, 2203, 692, 258, 769, 314, 14093, 28660, 454, 258, 2382, 656, 5573, 519, 2203, 267, 1210, 513, 6749, 719, 2557, 540, 476, 271, 269, 274, 543, 2597, 9178, 11664, 540, 476, 271, 269, 9826, 692, 2958, 31200, 815, 1205, 318, 10585, 2213, 31200, 6025, 1778, 12774, 314, 271, 4940, 27729, 267, 476, 271, 269, 274, 267, 476, 271, 269, 9826, 9239, 258, 769, 314, 15686, 28660, 454, 258, 3281, 850, 519, 2203, 692, 4818, 850, 31200, 263, 2958, 31200, 9239, 258, 769, 314, 6344, 28660, 454, 258, 21541, 519, 2203, 692, 2958, 318, 20931, 815, 5721, 31200, 263, 2958, 31200, 267, 5721, 12774, 267, 5721, 4671, 1173, 1115, 267, 22184, 338, 284, 8517, 9239, 258, 476, 2971, 18140, 519, 1565, 14258, 454, 258, 3097, 258, 2913, 781, 1631, 4729, 519, 2530, 543, 6111, 585, 519, 2866, 543, 15418, 5036, 780, 258, 769, 314, 13199, 28660, 454, 258, 305, 684, 713, 1591, 547, 4729, 519, 1007, 6111, 5288, 22184, 3113, 692, 339, 787, 912, 825, 12301, 19502, 263, 2958, 318, 20931, 269, 20931, 9131, 3147, 5596, 262, 7481, 825, 12301, 19502, 263, 2958, 318, 20931, 269, 20931, 9131, 1998, 318, 3147, 5596, 262, 7481, 21955, 6206, 13286, 912, 825, 12301, 19502, 263, 2958, 318, 20931, 269, 20931, 9131, 3147, 262, 7481, 825, 12301, 19502, 263, 2958, 318, 20931, 269, 20931, 9131, 1998, 318, 3147, 262, 7481, 10823, 26644, 3488, 16914, 5596, 5288, 269, 22184, 338, 5073, 10823, 269, 29786, 3488, 299, 1601, 5073, 10823, 11859, 16932, 3488, 22977, 5255, 5073, 10823, 269, 5586, 754, 8443, 262, 32086, 3299, 1412, 11749, 9179, 28710, 1327, 8782, 12294, 1318, 5073, 10823, 20481, 3890, 476, 7531, 258, 769, 314, 14338, 28660, 454, 258, 305, 684, 713, 1591, 547, 4729, 519, 1007, 2530, 5288, 22184, 3113, 692, 10823, 19502, 263, 2958, 318, 20931, 269, 20931, 9131, 29754, 262, 7481, 10823, 19502, 263, 2958, 318, 20931, 269, 20931, 9131, 1998, 9078, 1601, 262, 7481, 10823, 26644, 3488, 299, 1601, 5288, 269, 22184, 338, 5073, 10823, 269, 29786, 3488, 299, 1601, 5073, 10823, 11859, 16932, 3488, 22977, 5255, 5073, 10823, 269, 5586, 754, 8443, 262, 32086, 3299, 1412, 11749, 9179, 28710, 1327, 8782, 21639, 1318, 5073, 10823, 20481, 3890, 476, 7531, 258, 1284, 666, 1294, 602, 519, 2834, 5314, 814, 5280, 547, 2569, 519, 936, 7257, 1154, 540, 519, 3060, 563, 258, 1411, 786, 1631, 6451, 1289, 10587, 883, 513, 1007, 2866, 2196, 602, 28352, 2038, 16069, 543, 1565, 2557, 5786, 593, 6676, 14513, 563, 258, 3097, 258, 19130, 538, 519, 1599, 2630, 865, 602, 912, 258, 3097, 258, 2608, 898, 5932, 606, 2387, 15900, 1805, 25891, 319, 1289, 3724, 1843, 543, 513, 2387, 24965, 576, 28384, 4002, 5522, 622, 879, 319, 1289, 3724, 1843, 454, 258, 2608, 634, 2038, 16069, 1289, 3724, 568, 1031, 543, 21697, 15418, 2530, 609, 519, 7154, 1305, 547, 2387, 257, 2381, 257, 319, 543, 9639, 540, 476, 1789, 563, 258, 2608, 634, 1565, 2557, 5786, 593, 6676, 14513, 568, 1031, 609, 513, 1565, 2557, 3815, 540, 476, 271, 269, 273, 543, 513, 9639, 540, 476, 736, 780, 258, 769, 314, 11277, 28660, 454, 2971, 16998, 4696, 3633, 595, 21822, 476, 2971, 692, 258, 13159, 519, 1739, 1599, 269, 3097, 258, 5269, 2386, 547, 711, 1689, 519, 1599, 2012, 610, 7440, 563, 5228, 21723, 6503, 21993, 10327, 6983, 718, 10587, 1104, 7216, 1805, 25891, 267, 21079, 28384, 4002, 5522, 622, 879, 692, 3698, 1205, 6831, 718, 10587, 10031, 825, 8173, 825, 901, 1599, 1058, 1711, 543, 2132, 513, 24042, 630, 22022, 14067, 25891, 267, 1565, 318, 3433, 23631, 9134, 264, 1289, 10587, 563, 825, 634, 1289, 10587, 1058, 581, 8216, 7007, 2687, 547, 519, 1657, 4170, 563, 825, 8173, 825, 2038, 14067, 25891, 815, 7216, 1805, 25891, 263, 3000, 3218, 815, 1412, 1998, 9078, 1601, 3299, 7154, 815, 1412, 2381, 3299, 9639, 815, 476, 1789, 994, 825, 1565, 318, 3433, 23631, 9134, 815, 21079, 28384, 4002, 5522, 622, 879, 263, 3000, 3218, 8782, 1998, 9078, 1601, 3299, 3097, 2018, 3815, 284, 271, 269, 273, 267, 3097, 2018, 9639, 284, 736, 994, 825, 2132, 630, 22022, 14067, 25891, 267, 1565, 318, 3433, 23631, 9134, 9239, 258, 14840, 519, 1591, 2630, 547, 8216, 5573, 543, 5721, 519, 2834, 2213, 2203, 609, 519, 1289, 10587, 780, 258, 769, 314, 14862, 28660, 454, 322, 718, 31200, 815, 1205, 318, 10585, 2213, 31200, 6025, 1778, 12774, 314, 271, 4940, 27729, 267, 476, 271, 269, 274, 267, 476, 271, 269, 1822, 272, 994, 4818, 850, 31200, 6262, 718, 31200, 994, 22022, 14067, 25891, 267, 1565, 318, 3433, 23631, 9134, 815, 1205, 6831, 718, 10587, 4590, 322, 718, 318, 20931, 815, 1289, 31200, 32265, 6025, 1778, 12774, 267, 5721, 4671, 1173, 1115, 267, 22184, 338, 284, 8517, 267, 15418, 5334, 5902, 284, 271, 269, 1428, 2676, 4449, 1363, 1289, 10587, 17342, 22022, 14067, 25891, 267, 1565, 318, 3433, 23631, 9134, 3910, 8231, 846, 284, 271, 9239, 258, 769, 314, 10219, 28660, 454, 14048, 318, 3433, 23631, 9134, 4877, 520, 1466, 7531, 258, 7053, 267, 1577, 781, 4562, 582, 519, 6111, 543, 2530, 11708, 585, 938, 1007, 2203, 780, 258, 769, 314, 14695, 28660, 454, 339, 787, 912, 825, 12301, 19502, 6262, 718, 318, 20931, 269, 20931, 9131, 3147, 5596, 262, 7481, 825, 12301, 19502, 6262, 718, 318, 20931, 269, 20931, 9131, 1998, 318, 3147, 5596, 262, 7481, 21955, 6206, 13286, 912, 825, 12301, 19502, 6262, 718, 318, 20931, 269, 20931, 9131, 3147, 262, 7481, 825, 12301, 19502, 6262, 718, 318, 20931, 269, 20931, 9131, 1998, 318, 3147, 262, 7481, 10823, 26644, 3488, 16914, 5596, 5288, 269, 22184, 338, 5073, 10823, 269, 29786, 3488, 16914, 5596, 5073, 10823, 11859, 16932, 3488, 22977, 5255, 5073, 10823, 269, 5586, 754, 8443, 262, 32086, 3299, 1412, 11749, 9179, 28710, 1327, 8782, 12294, 1318, 5073, 10823, 20481, 3890, 476, 7531, 258, 769, 314, 14096, 28660, 454, 10823, 19502, 6262, 718, 318, 20931, 269, 20931, 9131, 29754, 262, 7481, 10823, 19502, 6262, 718, 318, 20931, 269, 20931, 9131, 1998, 9078, 1601, 262, 7481, 10823, 26644, 3488, 299, 1601, 5288, 269, 22184, 338, 5073, 10823, 269, 29786, 3488, 299, 1601, 5073, 10823, 11859, 16932, 3488, 22977, 5255, 5073, 10823, 269, 5586, 754, 8443, 262, 32086, 3299, 1412, 11749, 9179, 28710, 1327, 8782, 21639, 1318, 5073, 10823, 20481, 3890, 476, 7531, 258, 769, 314, 12553, 28660, 454, 258, 21414, 519, 2203, 593, 519, 1449, 1305, 692, 11687, 9078, 1601, 267, 1449, 318, 3147, 815, 1289, 31200, 4318, 1998, 10663, 6025, 652, 12774, 267, 1449, 4671, 1173, 1115, 267, 8231, 846, 284, 271, 994, 2745, 2891, 14818, 2530, 281, 2715, 15545, 274, 325, 4153, 333, 14818, 6111, 281, 2715, 15545, 273, 325, 348, 260, 2668, 8971, 6025, 652, 9078, 1601, 267, 476, 1911, 2608, 1449, 318, 3147, 264, 9239, 258, 5556, 17894, 585, 11264, 713, 5752, 7084, 256, 769, 519, 1985, 3018, 540, 519, 1576, 649, 786, 1451, 875, 547, 4688, 543, 4452, 840, 2389, 11712, 3631, 563, 0, 18411, 825, 19532, 27912, 590, 18306, 454, 825, 667, 4353, 22432, 6730, 19766, 22664, 9338, 294, 3036, 18952, 300, 22562, 825, 645, 12239, 595, 17955, 681, 7419, 2316, 10933, 2433, 744, 18217, 2845, 301, 994, 825, 20796, 4306, 595, 17955, 681, 7419, 2316, 10933, 281, 744, 18217, 11054, 994, 825, 9501, 19781, 19766, 4041, 311, 14510, 476, 2433, 744, 18217, 994, 18411, 3698, 15652, 10490, 267, 2451, 267, 1318, 267, 22141, 2187, 825, 561, 19340, 815, 2451, 454, 825, 678, 19340, 815, 1318, 910, 476, 272, 454, 825, 1247, 6936, 912, 1038, 1247, 10490, 314, 331, 19340, 316, 2999, 22141, 2567, 4449, 11434, 1948, 4787, 760, 1141, 3693, 1447, 982, 22141, 616, 2907, 454, 2018, 561, 19340, 6834, 476, 272, 14030, 1948, 514, 519, 2451, 540, 519, 3774, 454, 1038, 1247, 16868, 19340, 3436, 476, 271, 543, 589, 314, 337, 19340, 316, 3436, 22141, 2567, 1038, 1948, 4787, 760, 1141, 3693, 3152, 982, 22141, 616, 2907, 454, 2018, 678, 19340, 20699, 476, 272, 14030, 1948, 514, 519, 1318, 540, 519, 3774, 454, 1038, 952, 10857, 19340, 13843, 678, 19340, 2567, 4449, 19930, 1948, 1403, 1312, 5011, 616, 2907, 11231, 267, 2736, 519, 8520, 454, 2018, 2736, 454, 1038, 3116, 912, 2018, 589, 314, 331, 19340, 3910, 589, 314, 337, 19340, 316, 815, 589, 314, 337, 19340, 3910, 589, 314, 331, 19340, 316, 1948, 19227, 23396, 519, 2609, 2687, 547, 2990, 454, 825, 589, 314, 331, 19340, 3910, 589, 314, 2431, 316, 815, 589, 314, 2431, 3910, 589, 314, 331, 19340, 316, 19930, 1948, 10925, 623, 643, 582, 538, 519, 8473, 540, 519, 3774, 454, 825, 2132, 561, 19340, 14030, 11434, 1948, 17776, 1699, 2990, 540, 519, 3774, 692, 3698, 7117, 338, 677, 10490, 267, 2451, 267, 1318, 2187, 825, 952, 263, 2431, 910, 2451, 10922, 476, 271, 2567, 4449, 23526, 1948, 2558, 20190, 8865, 281, 8307, 835, 3693, 538, 519, 5044, 454, 1038, 2132, 454, 825, 22141, 815, 589, 314, 2431, 316, 4449, 7386, 1948, 623, 4353, 5588, 281, 27100, 1996, 799, 519, 5044, 814, 547, 581, 454, 14030, 13376, 1948, 4818, 1563, 454, 825, 533, 19340, 815, 15652, 10490, 267, 2451, 267, 1318, 267, 22141, 264, 19930, 1948, 3487, 819, 12039, 281, 5637, 5011, 786, 581, 16571, 1947, 454, 825, 7117, 338, 677, 10490, 267, 2451, 267, 533, 19340, 910, 476, 272, 264, 4449, 16875, 1948, 338, 9285, 543, 19467, 547, 3803, 5044, 454, 825, 7117, 338, 677, 10490, 267, 533, 19340, 1341, 476, 272, 267, 1318, 2020, 258, 6301, 912, 288, 815, 1496, 277, 267, 476, 276, 267, 476, 272, 267, 476, 274, 267, 476, 279, 267, 476, 275, 267, 476, 278, 267, 476, 280, 267, 476, 273, 2639, 336, 338, 677, 10490, 267, 476, 271, 267, 7003, 10490, 264, 910, 476, 272, 994, 2745, 10490, 994, 0, 3698, 7696, 31374, 263, 6783, 17342, 316, 8029, 825, 585, 1775, 538, 2039, 12759, 263, 6783, 264, 8029, 1038, 1883, 284, 5044, 5157, 15947, 1038, 795, 284, 328, 268, 272, 1477, 1038, 1247, 795, 285, 284, 271, 543, 5044, 14728, 316, 285, 4486, 6769, 2018, 5044, 14728, 266, 272, 24557, 6783, 14728, 15947, 2018, 795, 284, 329, 268, 272, 1477, 1038, 5044, 14728, 266, 272, 24557, 4486, 1477, 825, 2132, 5044, 5897, 1363 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 9223, 281, 769, 799, 1858, 540, 5125, 729, 646, 4535, 543, 6659, 888, 12585, 281, 536, 822, 926, 7795, 327, 0, 9223, 281, 6468, 609, 606, 5662, 6921, 817, 4137, 723, 12058, 547, 979, 609, 741, 14258, 476, 2073, 3744, 3409, 269, 24613, 538, 693, 519, 22765, 568, 1767, 547, 581, 513, 1129, 540, 4987, 799, 5012, 547, 17321, 1453, 267, 1932, 269, 6468, 971, 607, 715, 580, 7578, 4521, 5459, 609, 513, 2462, 3017, 1063, 741, 22765, 543, 12048, 7403, 20639, 2206, 881, 14688, 1732, 538, 4255, 982, 1346, 609, 25182, 267, 2269, 7660, 14604, 269, 12824, 11943, 602, 621, 729, 711, 2556, 585, 513, 4807, 547, 581, 2960, 5500, 734, 6343, 20974, 1229, 568, 602, 1200, 22765, 1058, 581, 4130, 982, 1200, 25637, 269, 589, 5223, 540, 476, 274, 281, 276, 729, 1336, 547, 581, 4998, 269, 634, 1353, 267, 676, 519, 29550, 540, 29016, 543, 2836, 604, 337, 11844, 267, 3238, 476, 1626, 267, 1822, 2021, 543, 6690, 269, 476, 4340, 547, 519, 3744, 267, 476, 9041, 1358, 3409, 602, 519, 3170, 1472, 1225, 11803, 25637, 543, 25427, 338, 567, 6585, 2362, 2157, 540, 910, 274, 9761, 7408, 799, 616, 1898, 585, 519, 2208, 540, 519, 2634, 1282, 6379, 1547, 634, 3170, 799, 25173, 1472, 519, 22765, 267, 2705, 267, 568, 811, 2693, 547, 2270, 910, 277, 9761, 7408, 267, 799, 616, 1447, 14018, 547, 2634, 2208, 269, 27561, 538, 519, 4760, 12472, 606, 5274, 29007, 32586, 3173, 1336, 602, 519, 1453, 540, 1225, 11803, 11299, 616, 811, 2693, 547, 798, 1134, 538, 5042, 4255, 982, 1866, 269, 1358, 3409, 602, 713, 1223, 948, 2491, 1946, 519, 1453, 540, 18295, 11299, 734, 15367, 1522, 711, 2943, 581, 9308, 9921, 2614, 547, 723, 2919, 1483, 14258, 734, 339, 754, 547, 798, 1447, 1134, 538, 1153, 269, 1306, 1134, 607, 20993, 567, 2634, 12741, 267, 910, 274, 9761, 7408, 1336, 538, 522, 1176, 3165, 616, 2808, 547, 581, 540, 5458, 1072, 4324, 269, 1325, 628, 537, 326, 519, 1353, 21845, 2021, 781, 4703, 1152, 267, 910, 274, 9761, 7408, 616, 849, 6740, 538, 2367, 781, 25637, 269, 1717, 267, 621, 568, 711, 1634, 2436, 2367, 609, 2647, 25637, 4324, 689, 519, 1482, 2634, 12741, 5818, 269, 14597, 519, 1739, 7403, 616, 3144, 689, 2185, 2021, 269, 6904, 540, 873, 568, 811, 2693, 547, 723, 6505, 1453, 888, 288, 269, 20613, 626, 281, 2568, 9492, 282, 295, 760, 281, 1911, 9492, 454, 289, 269, 20613, 626, 281, 2568, 9492, 282, 295, 760, 281, 3199, 9492, 454, 290, 269, 20613, 626, 281, 4649, 9492, 282, 295, 760, 281, 2568, 9492, 454, 291, 269, 20613, 626, 281, 6344, 9492, 282, 295, 760, 281, 8099, 9492, 454, 12585, 281, 589, 0, 9223, 281, 5808, 5206, 519, 1655, 31805, 1412, 763, 30985, 5549, 1211, 2986, 634, 13928, 769, 634, 13957, 6066, 262, 888, 12585, 281, 1665, 1185, 18484, 0, 763, 7542, 4958, 17696, 6266, 540, 8970, 855, 4769, 1405, 5905, 519, 31577, 594, 5795, 1864, 269, 594, 7058, 519, 8970, 729, 2731, 17705, 269, 0, 300, 1122, 534, 6499, 547, 1582, 1790, 889, 1501, 1200, 1101, 1433, 543, 12134, 1200, 1909, 2203, 2441, 710, 585, 606, 5796, 267, 1317, 2441, 710, 568, 513, 3811, 5856, 269, 0, 454, 304, 281, 6904, 4845, 814, 519, 2953, 18781, 1931, 281, 513, 834, 2025, 1922, 5831, 539, 1073, 333, 2135, 1190, 1124, 330, 834, 536, 834, 1073, 333, 2135, 1190, 2025, 1922, 5831, 539, 1124, 330, 834, 15017, 288, 281, 536, 0, 763, 1739, 616, 2789, 3903, 2055, 630, 5976, 4267, 264, 827, 1455, 2631, 563, 9223, 281, 589, 1166, 4770, 10896, 1522, 5815, 513, 3978, 1966, 609, 707, 2780, 952, 621, 568, 593, 707, 1018, 888, 288, 269, 476, 5907, 3937, 454, 289, 269, 476, 5496, 454, 290, 269, 476, 5907, 3457, 454, 291, 269, 476, 26099, 4604, 454, 292, 269, 476, 5122, 3684, 454, 12585, 281, 291, 0, 454, 9223, 281, 6904, 4845, 814, 519, 2953, 18781, 1931, 281, 513, 834, 544, 1749, 1125, 6216, 20642, 13470, 10537, 3109, 5556, 565, 3150, 21312, 2879, 1251, 9934, 24564, 834, 536, 834, 6216, 20642, 21312, 5556, 565, 3150, 544, 1749, 1125, 2879, 1251, 9934, 13470, 10537, 3109, 24564, 834, 15017, 476, 932, 7860, 281, 3097, 288, 269, 513, 454, 289, 269, 536, 454, 12585, 281, 589, 0, 454, 304, 281, 834, 2005, 568, 711, 2141, 2653, 547, 9787, 945, 568, 10438, 799, 2472, 269, 634, 1739, 4661, 25701, 547, 713, 2243, 281, 1677, 1376, 609, 267, 1169, 2834, 7082, 540, 17959, 12853, 568, 711, 513, 10121, 23138, 540, 2349, 1170, 12853, 610, 711, 606, 17573, 4136, 6471, 540, 16629, 6202, 5336, 553, 8124, 12853, 269, 3767, 267, 1169, 10121, 23138, 540, 2349, 1170, 12853, 945, 568, 606, 17573, 4136, 6471, 540, 16629, 6202, 5336, 553, 8124, 12853, 568, 513, 2834, 7082, 540, 17959, 12853, 610, 606, 8227, 540, 513, 4414, 5287, 31576, 5622, 269, 4475, 267, 1169, 10121, 23138, 540, 2349, 1170, 12853, 945, 568, 606, 17573, 4136, 6471, 540, 16629, 6202, 5336, 553, 8124, 12853, 568, 849, 606, 8227, 540, 513, 4414, 5287, 31576, 5622, 4799, 1772, 519, 4661, 267, 2016, 519, 12799, 7150, 22402, 267, 20952, 1947, 4570, 610, 23380, 888, 288, 281, 4570, 0, 4263, 519, 3440, 18524, 267, 15623, 729, 2731, 19818, 344, 543, 26826, 729, 711, 269, 15623, 3576, 1010, 20892, 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 ]
[ 1775, 14963, 910, 24303, 552, 336, 20692, 3248, 341, 12534, 271, 314, 314, 5472, 267, 1775, 1341, 476, 272, 14963, 815, 642, 12534, 271, 314, 314, 5472, 267, 1775, 14963, 910, 24303, 552, 336, 333, 341, 3248, 12320, 541, 271, 314, 314, 9008, 267, 1775, 1341, 476, 272, 14963, 815, 579, 12534, 271, 314, 314, 9008, 267, 476, 272, 14963, 3248, 12320, 541, 271, 314, 314, 3847, 267, 1775, 1341, 476, 272, 14963, 815, 579, 12534, 271, 314, 314, 3847, 267, 476, 272, 14963, 3248, 12320, 541, 271, 314, 314, 15318, 267, 1775, 1341, 476, 272, 14963, 815, 631, 272, 521, 28186, 314, 314, 15318, 316, 6012, 314, 5472, 267, 476, 272, 14963, 3248, 341, 12534, 271, 314, 314, 15318, 267, 1775, 1341, 476, 272, 14963, 815, 536, 272, 282, 642, 12534, 271, 314, 314, 9008, 267, 1775, 1341, 476, 272, 14963, 815, 642, 12534, 271, 314, 314, 9008, 267, 476, 272, 14963, 3248, 341, 12534, 271, 314, 314, 3847, 267, 1775, 1341, 476, 272, 14963, 815, 642, 12534, 271, 314, 314, 3847, 267, 476, 272, 14963, 3248, 18091, 12639, 815, 630, 11459, 273, 1341, 10085, 273, 264, 1547, 533, 12534, 910, 15848, 1547, 579, 12534, 271, 314, 314, 5472, 267, 1775, 1341, 476, 272, 14963, 20620, 11276, 1547, 642, 12534, 271, 314, 314, 5472, 267, 1775, 1341, 476, 272, 14963, 282, 552, 336, 12639, 314, 314, 2431, 14963, 815, 533, 12534, 314, 314, 2431, 14963, 3248, 18091, 12639, 314, 314, 3847, 14963, 815, 630, 11459, 1547, 533, 12534, 25011, 314, 3847, 14963, 3248, 18091, 12639, 314, 314, 9008, 14963, 815, 630, 11276, 1547, 533, 12534, 25011, 314, 9008, 14963, 3248, 18091, 12639, 314, 314, 15318, 14963, 815, 630, 11276, 1547, 533, 12534, 25011, 314, 15318, 14963, 282, 2715, 11355, 267, 1319, 348, 21591, 290, 4141, 2310, 6635, 7590, 314, 18091, 12639, 267, 533, 12534, 30092, 338, 565, 815, 12430, 24169, 314, 3901, 267, 910, 11355, 267, 6396, 9847, 834, 298, 787, 21754, 19312, 3248, 12320, 541, 271, 314, 314, 5472, 267, 1775, 1341, 476, 272, 14963, 815, 579, 12534, 271, 314, 314, 5472, 267, 1775, 1341, 476, 272, 14963, 910, 15848, 1547, 1151, 3248, 341, 12534, 271, 314, 314, 5472, 267, 1775, 1341, 476, 272, 14963, 815, 642, 12534, 271, 314, 314, 5472, 267, 1775, 1341, 476, 272, 14963, 910, 10085, 1547, 1151, 3248, 12320, 541, 271, 314, 314, 9008, 267, 1775, 1341, 476, 272, 14963, 815, 579, 12534, 271, 314, 314, 9008, 267, 476, 272, 14963, 3248, 12320, 541, 271, 314, 314, 3847, 267, 1775, 1341, 476, 272, 14963, 815, 579, 12534, 271, 314, 314, 3847, 267, 476, 272, 14963, 3248, 12320, 541, 271, 314, 314, 15318, 267, 1775, 1341, 476, 272, 14963, 815, 631, 272, 521, 28186, 314, 314, 15318, 316, 6012, 314, 5472, 267, 476, 272, 14963, 3248, 341, 12534, 271, 314, 314, 15318, 267, 1775, 1341, 476, 272, 14963, 815, 536, 272, 282, 642, 12534, 271, 314, 314, 9008, 267, 1775, 1341, 476, 272, 14963, 815, 642, 12534, 271, 314, 314, 9008, 267, 476, 272, 14963, 3248, 341, 12534, 271, 314, 314, 3847, 267, 1775, 1341, 476, 272, 14963, 815, 642, 12534, 271, 314, 314, 3847, 267, 476, 272, 316, 3910, 2715, 328, 267, 476, 272, 2676, 339, 10946, 910, 476, 272, 348, 22049, 12262, 18104, 20755, 532, 7531, 24058, 1436, 692, 346, 340, 267, 642, 267, 533, 348, 21591, 24961, 314, 11328, 335, 15684, 287, 18794, 314, 338, 28186, 267, 3690, 2821, 287, 8266, 287, 258, 267, 476, 273, 316, 1299, 2676, 8512, 819, 314, 18794, 314, 12320, 541, 271, 314, 314, 5472, 267, 512, 10946, 316, 3910, 642, 12534, 271, 314, 314, 5472, 267, 512, 10946, 316, 3910, 1151, 16689, 21920, 314, 338, 28186, 14963, 316, 16963, 346, 6944, 712, 5522, 582, 314, 340, 20572, 267, 586, 3910, 2715, 343, 267, 476, 271, 267, 476, 276, 9574, 2715, 344, 267, 476, 271, 267, 476, 272, 348, 2676, 21760, 31262, 9847, 834, 305, 664, 11312, 2580, 2552, 2293, 9847, 476, 736, 2676, 5522, 582, 26765, 1742, 9847, 4201, 11703, 267, 1306, 1051, 305, 26559, 9847, 4201, 11703, 2676, 16655, 13434, 2720, 542, 9847, 476, 273, 267, 18140, 32622, 9847, 476, 2004, 267, 18140, 299, 8475, 9847, 834, 340, 20350, 20988, 299, 8475, 9847, 4201, 11703, 16689, 6944, 712, 5522, 582, 314, 341, 20572, 267, 586, 3910, 2715, 343, 267, 476, 271, 267, 476, 276, 9574, 2715, 344, 267, 476, 271, 267, 476, 272, 348, 2676, 21760, 31262, 9847, 834, 305, 664, 11312, 2580, 2552, 2293, 9847, 476, 736, 2676, 5522, 582, 26765, 1742, 9847, 4201, 11703, 267, 1306, 1051, 305, 26559, 9847, 4201, 11703, 2676, 5522, 582, 299, 8475, 9847, 834, 341, 257, 16689, 6944, 712, 5522, 582, 314, 335, 20572, 267, 586, 3910, 2715, 343, 267, 476, 271, 267, 476, 276, 9574, 2715, 344, 267, 476, 271, 267, 476, 272, 348, 2676, 21760, 31262, 9847, 834, 305, 664, 11312, 2580, 2552, 2293, 9847, 476, 736, 2676, 5522, 582, 26765, 1742, 9847, 4201, 11703, 267, 1306, 1051, 305, 26559, 9847, 4201, 11703, 2676, 5522, 582, 299, 8475, 9847, 834, 335, 19312, 348, 7531, 2171, 666, 5635, 6991, 17223, 1657, 630, 323, 14414, 3515, 264, 609, 674, 4932, 630, 338, 13521, 3515, 264, 538, 1114, 6810, 693, 512, 284, 272, 692, 8794, 6991, 649, 666, 12337, 519, 715, 639, 1088, 339, 1297, 607, 5205, 692, 301, 340, 314, 7468, 318, 267, 715, 321, 318, 267, 1535, 271, 318, 267, 586, 271, 318, 316, 2433, 23751, 9556, 2544, 314, 346, 9928, 272, 815, 476, 271, 269, 276, 267, 715, 339, 272, 815, 476, 271, 269, 276, 9574, 2715, 11459, 267, 10085, 267, 15848, 273, 267, 10085, 273, 348, 21591, 293, 291, 12385, 314, 13997, 272, 267, 476, 271, 9574, 2715, 271, 267, 476, 272, 9574, 2715, 273, 267, 476, 271, 9574, 2715, 271, 267, 476, 273, 3686, 267, 1535, 17789, 5090, 267, 476, 275, 22049, 2715, 307, 12534, 2676, 874, 643, 541, 348, 815, 7305, 314, 17746, 656, 26161, 314, 271, 267, 2715, 333, 343, 562, 344, 267, 512, 10946, 348, 3910, 2715, 273, 348, 30092, 2710, 314, 18091, 333, 307, 21591, 12320, 541, 271, 314, 314, 5472, 267, 1775, 14963, 630, 11459, 1547, 570, 12534, 314, 314, 5472, 267, 1775, 316, 8079, 30492, 341, 12534, 271, 314, 314, 5472, 267, 1775, 14963, 630, 11276, 1547, 570, 12534, 314, 314, 5472, 267, 1775, 316, 8079, 20620, 272, 270, 7468, 630, 11459, 273, 1341, 10085, 273, 264, 1547, 570, 12534, 314, 314, 5472, 267, 1775, 14963, 20620, 301, 339, 272, 16733, 11459, 1547, 570, 12534, 314, 314, 5472, 267, 1775, 316, 8079, 630, 11459, 1547, 570, 12534, 314, 314, 5472, 267, 1775, 316, 8079, 1341, 630, 11276, 4586, 307, 12534, 314, 314, 5472, 267, 1775, 316, 8079, 630, 11276, 1547, 570, 12534, 314, 314, 5472, 267, 1775, 14963, 4297, 20620, 301, 321, 16733, 11459, 1547, 570, 12534, 314, 314, 5472, 267, 1775, 316, 8079, 630, 11459, 1547, 943, 643, 541, 314, 314, 5472, 267, 1775, 316, 8079, 1341, 630, 11276, 4586, 307, 12534, 314, 314, 5472, 267, 1775, 316, 8079, 630, 11276, 1547, 943, 643, 541, 314, 314, 5472, 267, 1775, 14963, 4297, 3248, 18091, 333, 12978, 21591, 12320, 541, 271, 314, 314, 5472, 267, 1775, 14963, 630, 11459, 1547, 943, 643, 541, 314, 314, 5472, 267, 1775, 316, 8079, 30492, 341, 12534, 271, 314, 314, 5472, 267, 1775, 14963, 630, 11276, 1547, 943, 643, 541, 314, 314, 5472, 267, 1775, 316, 8079, 20620, 272, 270, 9928, 272, 630, 11459, 273, 1341, 10085, 273, 264, 1547, 943, 643, 541, 314, 314, 5472, 267, 1775, 14963, 20620, 301, 339, 272, 14370, 301, 321, 265, 9928, 272, 264, 630, 11459, 273, 1341, 10085, 273, 264, 1547, 570, 12534, 314, 314, 5472, 267, 1775, 14963, 16963, 307, 12534, 314, 314, 5472, 267, 1775, 1341, 476, 272, 14963, 815, 570, 12534, 314, 314, 5472, 267, 1775, 14963, 910, 24303, 552, 336, 333, 307, 3248, 874, 643, 541, 314, 314, 5472, 267, 1775, 1341, 476, 272, 14963, 815, 943, 643, 541, 314, 314, 5472, 267, 1775, 14963, 910, 24303, 552, 336, 333, 12978, 3248, 307, 12534, 314, 314, 3847, 267, 1775, 1341, 476, 272, 14963, 815, 570, 12534, 314, 314, 3847, 272, 267, 1775, 1341, 476, 272, 14963, 3248, 874, 643, 541, 314, 314, 3847, 267, 1775, 1341, 476, 272, 14963, 815, 943, 643, 541, 314, 314, 3847, 272, 267, 1775, 1341, 476, 272, 14963, 3248, 307, 12534, 314, 314, 9008, 267, 1775, 1341, 476, 272, 14963, 815, 476, 271, 282, 570, 12534, 314, 314, 15318, 267, 1775, 1341, 476, 272, 14963, 815, 476, 272, 3248, 874, 643, 541, 314, 314, 15318, 267, 1775, 1341, 476, 272, 14963, 815, 476, 272, 3248, 874, 643, 541, 314, 314, 9008, 267, 1775, 1341, 476, 272, 14963, 815, 476, 271, 282, 267, 2715, 328, 267, 512, 10946, 910, 476, 272, 348, 22049, 2715, 307, 267, 943, 328, 348, 21591, 24961, 314, 11328, 335, 15684, 287, 18794, 314, 338, 28186, 267, 3690, 2821, 287, 8266, 287, 258, 267, 476, 273, 316, 1299, 2676, 8512, 819, 314, 18794, 314, 307, 12534, 314, 314, 5472, 267, 512, 10946, 316, 3910, 943, 643, 541, 314, 314, 5472, 267, 512, 10946, 14963, 16689, 21920, 314, 338, 28186, 14963, 22049, 910, 343, 271, 630, 32056, 29719, 314, 272, 267, 476, 271, 6012, 307, 6012, 343, 271, 267, 586, 271, 316, 30492, 32056, 29719, 314, 271, 267, 476, 272, 6012, 307, 6012, 343, 271, 267, 586, 271, 8079, 22049, 7531, 14818, 1383, 692, 301, 340, 314, 272, 267, 1547, 276, 267, 476, 272, 267, 476, 271, 316, 12262, 18104, 20755, 532, 692, 28949, 11073, 314, 24557, 2715, 274, 269, 11260, 6812, 267, 476, 271, 269, 25375, 6434, 348, 265, 9239, 9616, 267, 602, 609, 17697, 674, 19699, 3009, 649, 723, 2715, 14056, 269, 23056, 267, 476, 271, 269, 18597, 6321, 279, 9574, 543, 609, 674, 4932, 24626, 649, 723, 2715, 1724, 269, 5952, 274, 277, 267, 476, 271, 269, 26631, 271, 3953, 20467, 4475, 713, 674, 19699, 3009, 585, 715, 340, 1256, 5488, 1287, 674, 4932, 269, 4746, 1631, 649, 666, 29289, 2063, 3009, 585, 715, 340, 563, 10000, 11845, 476, 272, 1284, 666, 6175, 19106, 942, 676, 1210, 6404, 8763, 21553, 14032, 5690, 607, 5205, 692, 311, 312, 28186, 314, 3256, 318, 8266, 267, 533, 1206, 318, 8266, 316, 2433, 23751, 301, 287, 305, 1052, 314, 306, 3225, 775, 7711, 287, 1948, 272, 267, 12559, 314, 8138, 339, 847, 7711, 287, 1948, 272, 316, 270, 258, 273, 316, 1299, 267, 2715, 3256, 2676, 14186, 910, 476, 272, 348, 30092, 289, 895, 776, 19340, 20572, 28186, 6352, 318, 267, 586, 28186, 6352, 318, 316, 2433, 23751, 9556, 2544, 314, 346, 339, 5404, 267, 2451, 267, 1318, 267, 7762, 267, 1283, 267, 2451, 272, 267, 1318, 272, 348, 2676, 339, 5404, 815, 7305, 27007, 333, 910, 476, 272, 264, 586, 28186, 6352, 1341, 16186, 314, 272, 267, 586, 28186, 6352, 3910, 2715, 333, 267, 476, 272, 2676, 343, 28186, 6352, 348, 22049, 2715, 3847, 267, 1318, 348, 815, 31575, 314, 314, 346, 272, 267, 910, 272, 348, 14963, 282, 2715, 3847, 272, 267, 1318, 272, 348, 21591, 339, 5404, 314, 314, 346, 273, 267, 910, 273, 348, 14963, 282, 2715, 15318, 267, 1283, 348, 21591, 9558, 2821, 314, 346, 5575, 28784, 3910, 7831, 28784, 316, 348, 1299, 1315, 287, 31575, 22049, 2715, 9008, 267, 1318, 314, 314, 273, 6902, 282, 910, 273, 14963, 2676, 15318, 267, 2451, 314, 314, 273, 6902, 282, 910, 273, 316, 3910, 1318, 272, 314, 314, 273, 6902, 282, 910, 273, 316, 3910, 2451, 272, 314, 314, 273, 6902, 282, 910, 273, 14963, 348, 30092, 16920, 1026, 2373, 314, 13014, 24868, 1963, 316, 815, 2715, 8266, 762, 348, 3248, 13014, 24868, 1963, 314, 12534, 318, 267, 562, 318, 316, 28701, 7305, 314, 4462, 1664, 314, 12534, 3910, 2715, 333, 348, 30092, 293, 291, 12385, 314, 1457, 643, 318, 267, 1535, 17789, 5090, 318, 267, 886, 4650, 318, 316, 2433, 23751, 24961, 314, 301, 9169, 9876, 293, 9548, 11795, 2397, 32056, 29719, 28784, 267, 1535, 17789, 5090, 2676, 257, 11795, 2397, 24576, 257, 9847, 886, 4650, 6012, 257, 17843, 2747, 30467, 19312, 1299, 267, 8174, 2639, 18097, 339, 267, 512, 10946, 267, 6389, 267, 533, 1206, 267, 886, 4650, 267, 1234, 344, 267, 670, 272, 267, 524, 272, 267, 631, 272, 267, 536, 272, 348, 815, 2715, 272, 270, 4968, 2676, 4968, 267, 2715, 346, 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 ]
[ 322, 9385, 11357, 3553, 18091, 589, 315, 24189, 645, 6911, 259, 288, 315, 5115, 645, 315, 11357, 3553, 18091, 10490, 315, 5115, 595, 9385, 24189, 16360, 315, 5115, 595, 317, 322, 22491, 1103, 6169, 594, 1031, 519, 1739, 3959, 538, 7954, 692, 259, 263, 303, 315, 23976, 1627, 9385, 1633, 27562, 315, 23976, 590, 7751, 4399, 341, 323, 1662, 259, 18159, 303, 315, 1633, 681, 9385, 23976, 263, 1627, 315, 1633, 590, 22491, 7474, 568, 1572, 968, 6247, 10614, 14196, 892, 780, 5575, 16296, 1384, 4131, 1269, 343, 22174, 10490, 315, 24189, 595, 9385, 5115, 16360, 315, 24189, 595, 317, 322, 29408, 1287, 594, 666, 2328, 692, 259, 263, 343, 22174, 589, 315, 3271, 1535, 22174, 595, 9385, 1633, 263, 1535, 22174, 645, 315, 3271, 1535, 22174, 595, 317, 322, 22491, 259, 263, 343, 22174, 589, 317, 322, 315, 23976, 1535, 22174, 595, 9385, 1633, 3287, 22174, 645, 317, 322, 315, 23976, 1535, 22174, 595, 317, 322, 22491, 259, 263, 343, 22174, 589, 317, 322, 315, 1633, 1535, 22174, 645, 317, 322, 9385, 23976, 263, 1535, 22174, 595, 315, 1633, 1535, 22174, 595, 317, 322, 22491, 7445, 331, 2254, 3287, 22174, 589, 317, 322, 315, 1633, 1535, 22174, 645, 317, 322, 9385, 3271, 3287, 22174, 595, 315, 1633, 1535, 22174, 595, 317, 322, 22491, 259, 263, 343, 22174, 589, 315, 3271, 1535, 22174, 645, 9385, 3271, 3287, 22174, 595, 315, 1633, 1535, 22174, 595, 317, 322, 22491, 6518, 10522, 602, 1269, 343, 22174, 589, 315, 24189, 645, 16859, 13553, 16296, 1384, 4131, 1269, 343, 22174, 589, 315, 5115, 645, 8961, 1287, 692, 259, 263, 343, 22174, 589, 315, 1633, 1535, 22174, 645, 9385, 1633, 315, 331, 2254, 3287, 22174, 595, 317, 322, 315, 1633, 1535, 22174, 595, 22491, 7445, 331, 2254, 259, 4399, 3847, 9230, 343, 22174, 589, 315, 1633, 1535, 22174, 645, 9385, 23976, 263, 1535, 22174, 595, 317, 322, 315, 1633, 1535, 22174, 595, 9385, 2431, 22491, 7445, 331, 2254, 259, 4399, 3847, 9230, 343, 22174, 589, 315, 23976, 1535, 22174, 595, 317, 322, 9385, 1633, 3287, 22174, 645, 315, 23976, 1535, 22174, 595, 9385, 2431, 22491, 7445, 331, 2254, 13375, 9230, 343, 22174, 589, 317, 322, 315, 3271, 1535, 22174, 595, 317, 322, 9385, 1633, 3287, 22174, 645, 317, 322, 315, 3271, 1535, 22174, 595, 9385, 2431, 22491, 259, 263, 343, 22174, 589, 315, 1633, 1535, 22174, 595, 9385, 3271, 3287, 22174, 645, 315, 1633, 1535, 22174, 595, 317, 322, 22491, 6518, 10522, 602, 1269, 343, 22174, 630, 288, 315, 5115, 595, 9385, 24189, 16360, 315, 5115, 595, 317, 322, 30879, 0, 2005, 568, 4867, 476, 736, 9484, 476, 1001, 278, 267, 476, 1724, 281, 2537, 692, 2162, 17918, 11833, 11545, 16721, 692, 2971, 11289, 596, 585, 1210, 519, 22245, 910, 713, 4359, 1907, 666, 7447, 707, 2773, 543, 2303, 811, 2259, 2055, 269, 1284, 723, 20401, 539, 596, 547, 11545, 16721, 5999, 3842, 4757, 780, 20578, 1242, 454, 1721, 1411, 692, 933, 786, 4584, 1007, 2055, 602, 6474, 707, 1377, 1759, 593, 707, 7033, 518, 3778, 692, 9199, 1188, 692, 22336, 3018, 267, 649, 3580, 6494, 596, 606, 6059, 17918, 6060, 1759, 593, 707, 2773, 692, 20797, 454, 303, 904, 692, 933, 786, 4584, 1007, 2055, 602, 6474, 707, 1377, 1759, 593, 707, 7033, 518, 3778, 692, 258, 15638, 1299, 8871, 19600, 692, 30607, 15638, 1299, 8871, 19600, 538, 4873, 454, 15411, 26346, 25038, 692, 258, 1280, 513, 13113, 5311, 540, 4642, 2338, 267, 519, 1297, 540, 692, 12041, 24606, 454, 25938, 1640, 15440, 454, 16274, 281, 476, 5400, 9947, 476, 1220, 275, 454, 15803, 281, 476, 275, 4817, 692, 20132, 19560, 476, 8660, 1496, 271, 3910, 2016, 281, 476, 271, 692, 19613, 281, 2342, 454, 2690, 513, 13113, 5311, 540, 4642, 2338, 267, 519, 1297, 540, 1109, 28784, 21529, 6540, 2162, 8058, 16193, 692, 6860, 7325, 476, 1220, 277, 267, 476, 6734, 281, 2420, 454, 876, 281, 876, 692, 11795, 22187, 1384, 18217, 12458, 2020, 9223, 853, 1846, 1384, 1911, 260, 630, 876, 281, 2918, 264, 2953, 476, 271, 260, 630, 876, 281, 876, 264, 4636, 1759, 593, 476, 271, 7886, 692, 2162, 31674, 17004, 22245, 10803, 692, 1607, 1888, 568, 19526, 269, 1403, 596, 1616, 547, 1865, 713, 2243, 5225, 556, 1790, 739, 621, 538, 519, 9757, 8468, 780, 2690, 513, 13113, 5311, 540, 4642, 2338, 267, 519, 1297, 540, 7648, 538, 1129, 568, 3989, 607, 519, 1297, 540, 8424, 540, 15654, 2474, 540, 519, 5311, 585, 799, 519, 1587, 540, 519, 1079, 598, 572, 336, 5737, 2474, 568, 2942, 269, 1548, 568, 519, 1297, 540, 7648, 538, 1129, 585, 519, 5311, 476, 272, 267, 910, 274, 267, 476, 273, 267, 476, 276, 267, 910, 275, 267, 910, 277, 780, 14085, 454, 272, 563, 273, 563, 274, 563, 275, 780, 29151, 786, 1246, 780, 20132, 19560, 476, 8660, 1496, 271, 3910, 2016, 281, 476, 271, 692, 306, 29262, 454, 16274, 281, 476, 1789, 3057, 476, 1220, 277, 454, 15803, 281, 476, 15094, 279, 692, 20132, 19560, 476, 4817, 1496, 271, 3910, 2016, 281, 476, 271, 692, 2162, 8058, 16193, 692, 6860, 7325, 476, 1220, 277, 267, 476, 6734, 281, 4366, 454, 274, 692, 303, 1515, 540, 15654, 2474, 585, 799, 1587, 23313, 2942, 692, 263, 272, 16427, 274, 264, 11196, 274, 267, 273, 264, 630, 276, 16427, 275, 2020, 20132, 19560, 476, 4817, 1496, 271, 3910, 2016, 281, 476, 271, 692, 29262, 454, 16274, 281, 476, 1839, 8734, 476, 1220, 275, 454, 15803, 281, 476, 16825, 273, 692, 20132, 19560, 476, 13199, 1496, 271, 3910, 2016, 281, 476, 271, 692, 2162, 8058, 16193, 692, 6860, 7325, 476, 1220, 277, 267, 476, 5400, 281, 736, 454, 604, 519, 1931, 540, 5311, 568, 2433, 476, 272, 267, 910, 274, 267, 476, 273, 267, 476, 276, 267, 910, 275, 267, 910, 277, 267, 922, 476, 274, 563, 604, 519, 1931, 540, 5311, 568, 2433, 910, 277, 267, 910, 275, 267, 910, 274, 267, 476, 272, 267, 476, 273, 267, 476, 276, 267, 922, 476, 272, 780, 6630, 312, 267, 1018, 568, 834, 2690, 513, 13113, 5311, 540, 4642, 2338, 257, 2496, 300, 279, 5206, 912, 2690, 513, 13113, 5311, 540, 4642, 2338, 267, 519, 1297, 540, 7648, 538, 1129, 568, 3989, 476, 5541, 27401, 1862, 780, 20132, 19560, 476, 13199, 1496, 271, 3910, 2016, 281, 476, 271, 692, 29262, 454, 16274, 281, 476, 2641, 9484, 476, 1220, 274, 454, 15803, 281, 476, 10755, 278, 692, 20132, 19560, 476, 10037, 1496, 271, 3910, 2016, 281, 476, 271, 692, 19613, 281, 7330, 692, 2162, 8058, 16193, 692, 6860, 7325, 476, 1220, 277, 267, 476, 6021, 281, 1789, 454, 7246, 5206, 912, 604, 519, 1931, 540, 5311, 568, 2433, 476, 272, 267, 910, 274, 267, 476, 273, 267, 476, 276, 267, 910, 275, 267, 910, 277, 267, 922, 476, 274, 563, 604, 519, 1931, 540, 5311, 568, 2433, 910, 277, 267, 910, 275, 267, 910, 274, 267, 476, 272, 267, 476, 273, 267, 476, 276, 267, 922, 476, 272, 780, 6630, 312, 267, 1018, 568, 834, 2690, 513, 13113, 5311, 540, 4642, 2338, 257, 2496, 300, 279, 5206, 912, 2690, 513, 13113, 5311, 540, 4642, 2338, 267, 519, 1297, 540, 7648, 538, 1129, 568, 3989, 476, 5541, 27401, 1862, 780, 296, 1589, 621, 1058, 581, 834, 2690, 513, 13113, 5311, 540, 1875, 25179, 2338, 907, 5016, 12585, 568, 476, 274, 267, 1498, 594, 14648, 538, 513, 1114, 1259, 543, 3893, 11234, 2626, 454, 6303, 318, 692, 257, 2414, 5326, 4376, 602, 596, 1616, 547, 5326, 267, 602, 568, 519, 5898, 540, 519, 1480, 2247, 269, 1677, 798, 4376, 602, 596, 1616, 547, 798, 267, 602, 568, 519, 4222, 540, 519, 1480, 786, 269, 1677, 3972, 3054, 267, 547, 1449, 707, 7182, 267, 602, 568, 519, 10100, 547, 8011, 3010, 268, 24527, 3798, 24325, 692, 20132, 19560, 476, 10037, 1496, 271, 3910, 2016, 281, 476, 271, 692, 12421, 454, 16274, 281, 476, 2537, 9947, 476, 1220, 277, 454, 15803, 281, 476, 2918, 692, 20132, 19560, 476, 275, 1496, 271, 3910, 2016, 281, 476, 271, 692, 2162, 8058, 16193, 692, 6860, 7325, 476, 1220, 277, 267, 476, 6021, 281, 6321, 454, 274, 780, 272, 265, 268, 274, 815, 2942, 454, 268, 274, 265, 273, 815, 2942, 454, 276, 265, 268, 275, 815, 2942, 692, 20132, 19560, 476, 275, 1496, 271, 3910, 2016, 281, 476, 271, 692, 25938, 1640, 15440, 454, 16274, 281, 476, 5400, 9947, 476, 1220, 275, 454, 15803, 281, 476, 275, 4817, 692, 20132, 19560, 476, 8660, 1496, 271, 3910, 2016, 281, 476, 271, 692, 19613, 281, 2342, 692, 2162, 8058, 16193, 692, 6860, 7325, 476, 1220, 277, 267, 476, 2537, 281, 4375, 454, 7246, 5206, 912, 604, 519, 1931, 540, 5311, 568, 2433, 476, 272, 267, 910, 274, 267, 476, 273, 267, 476, 276, 267, 910, 275, 267, 910, 277, 267, 922, 476, 274, 563, 604, 519, 1931, 540, 5311, 568, 2433, 910, 277, 267, 910, 275, 267, 910, 274, 267, 476, 272, 267, 476, 273, 267, 476, 276, 267, 922, 476, 272, 780, 6630, 312, 267, 1018, 568, 834, 2690, 513, 13113, 5311, 540, 4642, 2338, 257, 2496, 28989, 16921, 621, 781, 1250, 13337, 267, 540, 1576, 621, 1590, 581, 1412, 301, 2177, 313, 2207, 302, 2338, 262, 780, 8133, 29314, 568, 476, 274, 269, 1809, 594, 723, 519, 1482, 2243, 607, 10790, 814, 780, 272, 267, 910, 274, 267, 476, 273, 267, 476, 276, 267, 910, 275, 267, 910, 277, 267, 922, 476, 274, 563, 268, 277, 267, 910, 275, 267, 910, 274, 267, 476, 272, 267, 476, 273, 267, 476, 276, 267, 922, 476, 272, 780, 6097, 547, 21942, 966, 826, 513, 5311, 568, 1022, 1895, 540, 9704, 267, 855, 594, 1589, 602, 3524, 1619, 1590, 2141, 581, 538, 27312, 610, 26799, 1931, 563, 12179, 4555, 2496, 20132, 19560, 476, 8660, 1496, 271, 3910, 2016, 281, 476, 271, 692, 3725, 281, 13662, 281, 5685, 924, 5311, 269, 5231, 1496, 258, 21529, 316, 476, 6860, 7325, 476, 1220, 277, 267, 476, 2537, 281, 4375, 454, 11514, 2452, 9708, 689, 3105, 281, 23037, 676, 0, 1103, 1297, 3069, 267, 519, 533, 14194, 545, 29925, 610, 533, 14194, 545, 1931, 540, 606, 8870, 562, 568, 519, 20800, 540, 519, 5207, 1379, 540, 519, 6305, 1297, 533, 602, 17337, 562, 269, 898, 568, 20922, 12276, 6234, 1422, 20692, 23214, 335, 12917, 333, 264, 23201, 4982, 2526, 1836, 267, 12276, 6234, 1422, 20692, 23214, 335, 12917, 333, 264, 4151, 568, 519, 20800, 547, 799, 12276, 6234, 533, 4151, 5526, 538, 519, 6305, 26458, 540, 12276, 6234, 562, 31859, 763, 533, 14194, 545, 29925, 568, 513, 29925, 543, 3947, 4473, 547, 606, 1387, 4084, 540, 519, 8912, 6207, 1871, 269, 24641, 519, 12032, 540, 519, 7787, 2338, 609, 2463, 547, 519, 8912, 6207, 1871, 2164, 538, 519, 1483, 2338, 12276, 6234, 1422, 13992, 2715, 305, 348, 476, 20954, 519, 12032, 540, 519, 7787, 2338, 609, 2463, 547, 519, 12276, 6234, 533, 4151, 268, 19631, 6207, 1871, 2164, 538, 519, 533, 14194, 545, 2338, 12276, 6234, 1422, 13992, 2715, 304, 348, 23214, 335, 4297, 10608, 314, 272, 6540, 18850, 9084, 540, 2067, 2338, 676, 741, 476, 273, 14194, 545, 29925, 267, 13042, 609, 7222, 7060, 540, 1079, 538, 8918, 269, 20023, 814, 606, 12808, 29925, 780, 1012, 9502, 543, 3601, 692, 4131, 533, 581, 513, 6305, 1297, 780, 2162, 6715, 619, 692, 763, 533, 14194, 545, 29925, 540, 606, 8870, 12276, 6234, 562, 4151, 568, 3989, 547, 581, 692, 21851, 6234, 1422, 20692, 23214, 335, 12917, 333, 6661, 3189, 8218, 26231, 1162, 4153, 9507, 2715, 10946, 348, 1422, 346, 330, 22174, 1422, 13992, 2715, 301, 348, 2433, 335, 3867, 330, 4153, 13232, 562, 315, 31905, 3189, 3667, 346, 604, 3738, 264, 333, 315, 928, 336, 476, 271, 11138, 315, 13727, 1299, 3189, 3667, 346, 604, 3738, 264, 333, 284, 271, 12101, 754, 26231, 1162, 4297, 10592, 3602, 12276, 6234, 1422, 13992, 2715, 301, 348, 476, 4151, 18575, 519, 1305, 540, 2067, 2338, 543, 12276, 6234, 544, 315, 13232, 562, 4151, 18575, 8954, 2225, 540, 12276, 6234, 562, 4151, 676, 12276, 6234, 544, 23201, 769, 1880, 267, 12276, 6234, 1422, 20692, 23214, 335, 4297, 259, 568, 513, 1599, 12276, 6234, 1422, 20692, 23214, 335, 4153, 3712, 517, 1422, 13992, 2715, 313, 348, 1422, 1729, 1422, 13992, 2715, 301, 348, 1422, 24189, 1422, 3189, 13727, 1422, 4297, 10608, 314, 273, 6540, 2690, 1383, 267, 12276, 6234, 1422, 20692, 23214, 273, 348, 8987, 1321 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 3506, 676, 3119, 338, 924, 12897, 616, 1031, 547, 948, 10646, 1063, 3425, 543, 536, 1824, 593, 3346, 3029, 593, 713, 3896, 269, 25439, 476, 272, 268, 31229, 268, 28760, 268, 24879, 274, 721, 476, 4510, 268, 736, 476, 274, 268, 2568, 279, 268, 276, 2764, 276, 20410, 269, 2368, 540, 519, 6780, 948, 12335, 16664, 942, 267, 2705, 267, 519, 1268, 538, 602, 1379, 568, 711, 519, 1655, 1268, 547, 581, 538, 602, 1379, 269, 5261, 12335, 585, 4444, 10467, 2228, 15242, 3214, 910, 2534, 8498, 269, 1656, 602, 781, 519, 1448, 540, 6780, 948, 12335, 16664, 621, 782, 269, 3967, 476, 272, 267, 543, 4140, 603, 3119, 6780, 948, 723, 563, 4537, 6832, 7084, 11486, 8500, 6780, 948, 12335, 606, 7005, 10564, 267, 1634, 607, 519, 6780, 948, 12335, 16664, 1390, 5559, 520, 626, 540, 782, 2053, 5030, 1472, 476, 14444, 275, 268, 14065, 277, 267, 729, 1603, 2835, 543, 15023, 538, 1034, 540, 1010, 1296, 269, 9956, 781, 18296, 630, 1492, 1433, 1070, 7005, 6780, 948, 12335, 16664, 3332, 948, 269, 476, 1789, 7436, 1341, 476, 275, 7436, 585, 838, 698, 4367, 269, 6423, 19545, 1948, 1911, 630, 1492, 2347, 12335, 264, 607, 1134, 607, 1948, 14631, 274, 630, 10472, 1808, 1404, 1040, 6424, 512, 3317, 656, 267, 27205, 1273, 4459, 12403, 691, 543, 512, 4461, 514, 269, 9956, 781, 1404, 267, 834, 332, 659, 10106, 2580, 568, 513, 27615, 13135, 1404, 827, 26846, 267, 1379, 267, 20729, 531, 543, 12638, 1034, 5609, 3563, 269, 2920, 476, 272, 267, 6429, 476, 275, 281, 585, 637, 269, 5261, 12335, 781, 1412, 332, 659, 10106, 9166, 957, 476, 272, 6429, 476, 276, 2079, 269, 2913, 781, 581, 513, 2370, 811, 5730, 982, 519, 824, 1079, 17013, 1934, 267, 4927, 649, 563, 295, 539, 3101, 538, 4081, 1603, 267, 543, 547, 3986, 6940, 267, 3565, 547, 3536, 563, 268, 5530, 21273, 609, 1569, 547, 6634, 540, 1900, 8386, 9912, 1837, 3435, 267, 513, 3406, 762, 3059, 6538, 540, 6780, 3435, 267, 543, 1641, 2339, 4966, 593, 1796, 2421, 476, 2190, 270, 278, 547, 1683, 6780, 948, 950, 596, 991, 543, 707, 1101, 3923, 568, 1269, 563, 268, 5675, 2228, 281, 3594, 593, 519, 16750, 538, 16664, 563, 268, 9956, 543, 811, 6780, 910, 12335, 1299, 563, 307, 3821, 267, 679, 6864, 749, 657, 6446, 1668, 4754, 1714, 10540, 518, 11188, 16056, 1603, 2533, 538, 795, 565, 2884, 24924, 521, 269, 2290, 1554, 1557, 281, 3119, 6780, 948, 2343, 534, 28151, 1390, 269, 6435, 2241, 2534, 540, 2247, 267, 1608, 28063, 693, 713, 13275, 12335, 3119, 6780, 948, 269, 769, 519, 1404, 16664, 621, 729, 4250, 602, 729, 519, 1292, 30070, 3815, 602, 6766, 519, 6364, 540, 519, 1404, 269, 4119, 476, 2190, 267, 519, 1259, 596, 2462, 267, 12335, 6780, 948, 938, 7990, 532, 3817, 543, 3211, 563, 21547, 10106, 11339, 547, 1010, 7385, 10213, 1200, 540, 1018, 814, 5949, 543, 519, 4622, 781, 4566, 269, 4208, 1281, 6780, 948, 556, 16664, 6146, 4622, 546, 684, 4754, 269, 634, 3063, 2934, 6035, 593, 713, 546, 341, 323, 4528, 568, 513, 3407, 1840, 269, 476, 4375, 272, 10530, 689, 16664, 281, 1412, 2421, 519, 533, 4459, 532, 540, 1250, 4179, 2517, 338, 656, 541, 657, 611, 582, 665, 656, 1231, 272, 8807, 659, 592, 323, 611, 4520, 531, 828, 1729, 2593, 11320, 335, 9762, 550, 270, 340, 22744, 338, 11721, 21874, 21703, 286, 301, 332, 292, 271, 7582, 304, 343, 312, 329, 309, 329, 300, 15045, 327, 300, 332, 308, 343, 8104, 308, 276, 312, 329, 326, 345, 301, 329, 288, 276, 313, 294, 312, 343, 13270, 326, 276, 313, 291, 326, 555, 29304, 267, 1945, 29063, 713, 1259, 2501, 269, 4841, 3028, 281, 3574, 4133, 6780, 948, 28991, 1283, 4574, 269, 9956, 781, 16664, 10530, 543, 2079, 910, 1490, 12915, 889, 563, 268, 9956, 538, 11353, 281, 16664, 28258, 611, 7160, 1455, 2631, 3081, 563, 268, 769, 28642, 781, 519, 3020, 1876, 540, 1863, 16313, 625, 267, 1101, 3370, 538, 476, 14689, 279, 267, 646, 6257, 1010, 6138, 7282, 21257, 267, 11021, 602, 15438, 616, 2362, 7919, 945, 28297, 741, 15438, 1222, 547, 519, 786, 540, 2470, 540, 15438, 1222, 538, 13275, 12335, 781, 476, 8182, 277, 1404, 16664, 563, 268, 4165, 527, 4185, 538, 957, 476, 273, 6780, 948, 12335, 16664, 540, 16664, 543, 4931, 2675, 3628, 8367, 24563, 336, 1557, 6299, 7879, 585, 3284, 563, 268, 634, 12335, 21102, 518, 281, 7058, 519, 1913, 602, 616, 2404, 609, 519, 4249, 563, 268, 769, 713, 6429, 267, 5635, 16664, 781, 1101, 1899, 609, 519, 1101, 18338, 781, 6609, 540, 875, 1352, 786, 25711, 519, 13743, 528, 281, 16664, 865, 28067, 543, 4023, 513, 1554, 1775, 723, 711, 2938, 563, 21547, 10106, 6249, 540, 1931, 5288, 14784, 4585, 713, 3992, 2221, 547, 3605, 875, 12335, 7710, 519, 8082, 602, 6818, 1063, 1931, 543, 14784, 1655, 1557, 2533, 538, 16664, 269, 589, 7104, 540, 6780, 948, 12335, 16664, 3318, 11051, 543, 1525, 1161, 945, 616, 8744, 2298, 12335, 24299, 547, 519, 5045, 7532, 269, 5675, 1557, 281, 1775, 991, 948, 609, 1250, 840, 11810, 6780, 269, 3427, 18244, 10010, 547, 1174, 12335, 1282, 519, 1655, 16056, 1603, 2533, 476, 1001, 280, 538, 31065, 27579, 616, 547, 1205, 4388, 543, 4030, 689, 3056, 11051, 547, 1685, 538, 1010, 4249, 269, 9956, 538, 11353, 281, 16664, 16056, 1603, 3028, 861, 2350, 2224, 562, 344, 28258, 611, 7160, 813, 2689, 269, 16294, 2962, 8552, 1557, 2845, 924, 577, 6881, 24072, 1557, 7127, 10927, 1153, 562, 25900, 6780, 948, 269, 2290, 1554, 1557, 281, 3574, 4133, 21738, 1153, 6780, 948, 269, 634, 3310, 540, 27828, 538, 12335, 781, 16664, 269, 2422, 519, 15942, 2630, 547, 1224, 998, 13980, 540, 713, 6429, 543, 1491, 4967, 827, 1200, 1915, 538, 707, 8642, 28013, 269, 9956, 910, 16664, 1451, 1263, 1501, 12322, 910, 21099, 14643, 269, 3962, 957, 814, 513, 3903, 540, 2947, 6780, 4247, 267, 6780, 948, 12335, 16664, 8720, 513, 2039, 540, 5759, 543, 1565, 6163, 269, 634, 5789, 787, 24726, 540, 2842, 7717, 267, 630, 1070, 585, 323, 12335, 9715, 8101, 5763, 7064, 1326, 1863, 6780, 948, 593, 13275, 695, 6731, 4100, 16664, 281, 1404, 5758, 267, 6429, 5758, 543, 2079, 543, 3312, 1257, 267, 10530, 267, 3594, 267, 1915, 2079, 267, 543, 4670, 2762, 21806, 540, 30917, 17084, 269, 898, 781, 24813, 865, 621, 781, 606, 17076, 781, 3903, 563, 268, 11334, 21199, 909, 12335, 609, 3059, 2923, 1196, 583, 18701, 563, 268, 16077, 834, 2421, 13275, 12335, 910, 4081, 646, 4592, 563, 268, 1306, 543, 513, 1377, 2200, 563, 268, 16077, 543, 13544, 723, 513, 1455, 3804, 799, 568, 741, 13287, 540, 5718, 563, 268, 1306, 596, 899, 621, 1315, 1404, 676, 12335, 24320, 1047, 568, 579, 563, 268, 834, 3333, 6832, 2389, 1245, 257, 16664, 630, 339, 341, 12558, 476, 1220, 276, 264, 910, 708, 27219, 563, 268, 16077, 13788, 267, 1869, 6780, 948, 12335, 16664, 8876, 519, 26481, 563, 268, 634, 4622, 814, 8737, 1010, 1139, 518, 693, 16664, 781, 1747, 543, 11739, 696, 563, 268, 769, 16664, 267, 13275, 12335, 781, 13357, 827, 1379, 267, 20440, 267, 13587, 527, 267, 543, 12638, 267, 519, 1614, 26734, 2062, 339, 749, 16664, 781, 4473, 547, 4622, 540, 1085, 582, 1633, 855, 849, 4412, 1127, 344, 602, 2104, 15438, 786, 13956, 689, 563, 268, 23850, 547, 1489, 7005, 3610, 267, 1875, 1606, 2133, 626, 3610, 543, 3450, 20843, 538, 7114, 543, 1412, 25785, 532, 262, 2042, 538, 1053, 262, 1603, 563, 268, 2782, 940, 281, 16664, 568, 4922, 9833, 607, 513, 3860, 1603, 1250, 11442, 1544, 563, 268, 10812, 519, 1909, 543, 4644, 540, 14799, 16664, 538, 519, 1404, 16664, 267, 676, 13275, 12335, 563, 268, 901, 960, 814, 1044, 5697, 676, 5640, 607, 1373, 15520, 1271, 543, 568, 851, 540, 519, 1702, 3490, 540, 10340, 607, 649, 917, 960, 568, 538, 519, 1857, 6389, 538, 519, 8087, 2829, 540, 13314, 267, 543, 7654, 824, 6082, 563, 21547, 10106, 519, 1404, 676, 13275, 12335, 5641, 543, 3197, 538, 519, 1404, 676, 13275, 12335, 4994, 540, 4249, 676, 13275, 12335, 269, 7392, 834, 3333, 6832, 7005, 1788, 257, 883, 596, 32353, 781, 3406, 4216, 267, 543, 596, 3513, 1265, 6402, 547, 513, 1279, 1592, 540, 1153, 10467, 269, 3600, 1889, 6780, 814, 267, 936, 519, 1296, 267, 1603, 2533, 934, 644, 8598, 17956, 513, 2319, 540, 519, 1034, 6325, 267, 4810, 267, 543, 11727, 5830, 269, 6787, 621, 729, 1101, 5340, 693, 519, 10424, 5480, 610, 729, 6566, 328, 1229, 693, 519, 8608, 16222, 267, 972, 666, 581, 2370, 8969, 602, 519, 1404, 941, 5497, 547, 5225, 519, 4622, 267, 945, 1185, 5063, 1831, 519, 19121, 540, 12335, 781, 26974, 3740, 2754, 269, 13966, 519, 1259, 267, 1451, 875, 547, 20272, 1271, 10530, 543, 2553, 602, 9414, 713, 6249, 269, 16077, 267, 1957, 3724, 676, 12335, 267, 13275, 267, 6216, 6780, 948, 12335, 16664, 1007, 269, 8298, 538, 610, 11578, 547, 2022, 8292, 282, 476, 21497, 343, 269, 4828, 1603, 1250, 5326, 2777, 269, 9956, 781, 2511, 538, 16664, 267, 2687, 547, 3771, 1245, 16036, 267, 535, 4926, 546, 2109, 267, 16105, 543, 18572, 883, 513, 11450, 1063, 513, 1915, 781, 1913, 543, 1010, 9687, 2790, 1533, 689, 4090, 547, 4090, 269, 5437, 476, 1691, 267, 476, 1708, 271, 8292, 1055, 593, 689, 519, 3209, 16664, 676, 13275, 12335, 281, 1412, 30161, 648, 519, 1909, 543, 4644, 540, 14799, 16664, 538, 519, 1404, 16664, 267, 676, 13275, 12335, 269, 16077, 13275, 12335, 568, 917, 585, 519, 4622, 781, 2367, 269, 1215, 519, 1412, 332, 659, 10106, 262, 26734, 5397, 519, 1404, 781, 4729, 269, 30557, 538, 607, 16664, 267, 544, 833, 10599, 698, 20377, 630, 329, 7897, 2881, 339, 584, 549, 1070, 4566, 513, 20935, 4254, 1491, 1478, 693, 519, 28409, 540, 1010, 14799, 269, 2311, 922, 1655, 267, 6780, 666, 1863, 909, 1362, 942, 585, 4890, 3450, 543, 1565, 543, 948, 1453, 547, 1831, 1732, 693, 7005, 269, 3571, 16203, 729, 3592, 834, 321, 3754, 8521, 257, 538, 4395, 540, 1010, 14538, 563, 1103, 12335, 781, 16664, 267, 1018, 1281, 16664, 1611, 950, 646, 269, 8866, 666, 4757, 6780, 2055, 547, 30602, 512, 3317, 656, 543, 269, 3776, 12427, 616, 2141, 4712, 547, 4217, 543, 960, 585, 596, 476, 2190, 270, 278, 269, 634, 1650, 540, 16664, 1427, 1245, 607, 513, 27497, 1399, 267, 4254, 12416, 7959, 899, 606, 6654, 3903, 269, 15248, 16664, 568, 513, 3532, 4527, 538, 519, 1404, 267, 1034, 16113, 538, 519, 1223, 596, 5225, 2328, 513, 2689, 1101, 1079, 269, 589, 27697, 543, 1010, 13962, 3620, 739, 612, 7385, 18992, 547, 12638, 547, 1491, 9562, 540, 513, 1164, 11665, 1350, 553, 19886, 13962, 269, 16077, 568, 513, 1950, 4062, 540, 960, 267, 543, 607, 971, 3340, 513, 2620, 1620, 540, 922, 4798, 538, 1931, 547, 8011, 693, 28168, 269, 1677, 519, 6574, 7005, 10564, 543, 2038, 476, 1704, 628, 3017, 1063, 2239, 543, 3860, 1603, 543, 1686, 269, 3487, 21871, 519, 2491, 566, 540, 519, 1404, 609, 544, 1188, 749, 523, 269, 4855, 856, 519, 1292, 4729, 267, 3197, 267, 4798, 543, 1454, 811, 268, 835, 540, 13275, 12335, 781, 1034, 4583, 4249, 729, 16664, 269, 9956, 543, 811, 16664, 910, 12335, 1299, 811, 563, 2791, 949, 1265, 713, 4277, 454, 268, 6732, 4081, 1603, 3549, 454, 268, 14581, 948, 544, 339, 454, 268, 1763, 2541, 1603, 2533, 32650, 5984, 454, 268, 2052, 596, 4444, 10467, 454, 268, 7454, 20956, 1603, 2533, 20410, 0, 288, 27337, 881, 1297, 540, 1126, 7972, 616, 4080, 538, 3162, 4000, 1142, 1032, 269, 634, 1034, 27615, 13135, 9305, 547, 12638, 267, 6057, 610, 10714, 269, 20290, 476, 12010, 1453, 941, 23689, 538, 3162, 4000, 689, 476, 1001, 276, 547, 476, 1001, 277, 267, 2687, 547, 519, 4659, 540, 17813, 9534, 630, 7644, 305, 1916, 1103, 476, 1001, 277, 267, 519, 2136, 8315, 19486, 3162, 4000, 1851, 519, 1158, 779, 476, 1015, 1034, 10795, 6082, 269, 4340, 547, 7128, 5515, 267, 1142, 1032, 476, 8517, 547, 476, 12010, 1453, 616, 23689, 538, 3162, 4000, 267, 513, 4182, 540, 936, 476, 7918, 2929, 1004, 563, 2026, 540, 4873, 476, 1001, 278, 267, 538, 519, 5375, 15729, 4805, 267, 476, 2420, 8004, 1453, 941, 7166, 269, 634, 17140, 568, 602, 938, 1453, 616, 711, 2922, 538, 741, 2146, 1022, 811, 269, 901, 568, 1360, 11213, 563, 763, 6146, 902, 540, 1453, 723, 9575 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 21853, 16443, 454, 23991, 2433, 21853, 332, 19687, 454, 13911, 2433, 10326, 454, 3891, 697, 2433, 476, 1428, 547, 476, 1839, 544, 454, 2750, 17068, 2433, 6129, 5500, 454, 294, 1037, 2433, 18103, 2435, 454, 293, 10008, 720, 2433, 5890, 1600, 910, 23044, 1359, 2433, 4728, 454, 310, 728, 569, 1031, 538, 11614, 267, 7733, 543, 1804, 10651, 267, 621, 568, 19890, 711, 4998, 585, 1507, 10651, 563, 2005, 568, 5227, 547, 2030, 1714, 332, 538, 519, 2887, 547, 3895, 3597, 532, 1354, 5162, 563, 8340, 513, 1747, 585, 621, 1141, 621, 786, 723, 4055, 267, 1317, 621, 666, 1332, 1360, 3533, 563, 268, 7427, 938, 9544, 4388, 563, 14976, 332, 18309, 543, 5826, 454, 5591, 18309, 568, 2731, 2556, 563, 2791, 666, 32566, 621, 547, 5887, 30968, 621, 950, 621, 814, 6738, 14320, 267, 23295, 950, 621, 814, 4503, 922, 3762, 563, 2414, 917, 827, 1714, 332, 454, 763, 1714, 332, 568, 513, 1360, 4190, 3529, 602, 568, 849, 1031, 585, 2298, 540, 922, 3574, 267, 2182, 543, 7509, 11259, 269, 713, 2306, 621, 606, 4998, 29421, 563, 2005, 786, 1265, 922, 1747, 538, 707, 4677, 538, 606, 9678, 1259, 855, 621, 568, 849, 1419, 1336, 2059, 9897, 610, 8933, 563, 2005, 3029, 513, 1360, 4190, 1225, 1555, 267, 2523, 538, 4832, 950, 922, 1769, 3039, 3762, 616, 31394, 563, 5804, 1034, 1455, 8677, 267, 649, 1265, 10778, 268, 12197, 1714, 332, 267, 5347, 1714, 332, 454, 268, 13738, 1714, 916, 454, 268, 1977, 3043, 1714, 332, 454, 299, 604, 525, 3966, 540, 606, 1714, 332, 912, 27039, 593, 519, 3099, 267, 621, 568, 1472, 513, 4627, 1296, 2025, 267, 855, 2361, 1714, 332, 666, 2661, 909, 547, 476, 4335, 1296, 563, 14976, 332, 568, 5781, 4299, 676, 513, 17343, 1572, 10656, 1714, 332, 2068, 563, 288, 15273, 4221, 568, 5227, 269, 901, 786, 2061, 18290, 2208, 267, 2226, 11195, 538, 519, 4832, 267, 543, 2149, 519, 5072, 689, 519, 4411, 5162, 269, 0, 25369, 4987, 814, 2141, 1044, 835, 540, 519, 6212, 540, 3025, 779, 3007, 269, 4475, 267, 1759, 593, 707, 2798, 540, 1719, 267, 519, 9375, 786, 3142, 596, 606, 4367, 547, 5841, 4987, 269, 1280, 3877, 267, 5225, 1294, 2630, 563, 25369, 4987, 568, 519, 1353, 540, 5904, 547, 18082, 1978, 1480, 2219, 3157, 543, 10995, 5615, 269, 898, 5631, 2882, 519, 3741, 540, 2780, 20185, 540, 4987, 267, 5663, 5904, 2147, 547, 1480, 2634, 4987, 267, 543, 16734, 2362, 7400, 3156, 540, 5904, 269, 14464, 4987, 786, 4125, 10459, 971, 607, 2780, 2257, 267, 6530, 267, 6138, 267, 543, 23316, 269, 898, 666, 581, 1767, 602, 519, 9165, 540, 3592, 782, 2067, 9443, 543, 1514, 9443, 2484, 20489, 519, 9165, 540, 2780, 2257, 269, 634, 2078, 1063, 5841, 4987, 543, 3206, 2257, 568, 519, 2078, 1063, 2259, 543, 3069, 267, 543, 5841, 4987, 568, 693, 519, 2930, 3498, 1377, 540, 3206, 2257, 269, 898, 568, 606, 3498, 7936, 540, 621, 269, 3245, 519, 5133, 540, 3206, 267, 5841, 4987, 568, 711, 3908, 547, 9266, 3206, 269, 1677, 3895, 519, 14634, 1646, 540, 5841, 4987, 267, 649, 991, 547, 2015, 3206, 538, 2592, 543, 31369, 3206, 269, 9119, 568, 1419, 9833, 607, 519, 2596, 2257, 540, 1082, 10459, 269, 9119, 814, 849, 9411, 519, 2361, 540, 1893, 543, 3206, 269, 11106, 5396, 1590, 849, 10210, 6310, 2645, 269, 9119, 711, 1152, 4249, 513, 1909, 538, 3044, 7954, 267, 27967, 6128, 267, 3092, 1421, 855, 950, 6128, 13788, 519, 1641, 540, 5841, 4987, 267, 789, 786, 3895, 1142, 824, 543, 1020, 5488, 563, 3383, 267, 1018, 1871, 666, 5841, 4987, 3142, 547, 2486, 888, 272, 269, 16534, 1514, 2042, 454, 12892, 2152, 4125, 513, 3148, 267, 513, 2197, 267, 610, 1256, 513, 2518, 3390, 269, 3767, 621, 5631, 2882, 2825, 2152, 267, 2551, 2152, 267, 4199, 2152, 267, 1480, 3354, 2152, 267, 543, 865, 593, 256, 674, 3166, 609, 891, 2101, 267, 2647, 8573, 4474, 267, 543, 1164, 16151, 2042, 267, 1480, 5759, 1869, 3112, 3927, 4194, 873, 269, 1809, 609, 519, 1646, 540, 5841, 4987, 267, 891, 2042, 786, 581, 3927, 18808, 609, 610, 1256, 12193, 269, 1280, 1383, 267, 519, 1646, 540, 3068, 6284, 267, 5639, 6284, 543, 824, 4066, 547, 1293, 543, 5496, 519, 2551, 540, 1585, 2477, 666, 3927, 13468, 519, 7127, 1966, 540, 9810, 1235, 538, 1585, 2477, 269, 769, 519, 1699, 3510, 540, 2825, 12159, 267, 952, 519, 2825, 2042, 538, 3983, 2127, 616, 4824, 269, 22417, 796, 514, 4725, 3386, 4025, 883, 3110, 3386, 4025, 267, 971, 607, 24301, 269, 1452, 3785, 616, 1419, 7199, 543, 2352, 585, 8723, 1004, 547, 4163, 856, 960, 267, 865, 789, 666, 946, 5100, 6191, 547, 960, 538, 23349, 5054, 269, 15510, 3106, 568, 606, 1271, 543, 2352, 3390, 538, 2486, 267, 1519, 6808, 3106, 543, 1514, 5208, 3106, 269, 634, 4367, 540, 5841, 4987, 883, 519, 1514, 1062, 666, 1732, 2087, 543, 1852, 519, 4155, 6808, 543, 1514, 3354, 1062, 269, 898, 5631, 3096, 519, 1164, 6111, 267, 1164, 2029, 267, 1970, 1981, 543, 824, 4162, 540, 5841, 4987, 547, 5372, 1004, 547, 798, 930, 960, 602, 3112, 581, 2944, 610, 568, 711, 2653, 547, 798, 563, 273, 269, 2060, 1857, 20848, 454, 14276, 20848, 616, 4909, 4213, 1644, 547, 1004, 779, 17612, 267, 7123, 1646, 540, 519, 2197, 267, 543, 1514, 2640, 269, 4653, 779, 960, 568, 5631, 513, 2014, 540, 7674, 519, 1004, 269, 634, 946, 540, 5841, 4987, 666, 3895, 519, 1646, 540, 1857, 20848, 7561, 267, 8308, 543, 1480, 324, 569, 563, 2171, 666, 1294, 519, 1871, 540, 5841, 4987, 538, 1514, 1857, 9333, 752, 902, 689, 1614, 3344, 269, 2290, 568, 602, 585, 15295, 7194, 543, 4393, 267, 519, 1699, 2551, 568, 513, 2462, 1966, 269, 3624, 1631, 814, 476, 272, 269, 275, 5479, 1004, 267, 855, 1813, 547, 1082, 9993, 267, 711, 3025, 666, 1205, 519, 1416, 540, 519, 1533, 269, 769, 1840, 267, 2042, 971, 607, 1480, 19338, 543, 7508, 7606, 616, 7986, 267, 543, 2551, 7194, 543, 2533, 547, 519, 2489, 2551, 616, 16094, 11658, 269, 3194, 538, 519, 2361, 540, 5841, 4987, 6284, 568, 606, 2500, 1259, 547, 4194, 971, 2042, 269, 1280, 1383, 267, 3068, 6284, 267, 13869, 2745, 6284, 267, 22100, 6284, 267, 3092, 1421, 1210, 891, 4066, 666, 3927, 2697, 513, 1804, 1297, 540, 7508, 1004, 267, 3961, 19027, 543, 824, 1950, 2152, 269, 634, 2034, 568, 1344, 4393, 269, 634, 476, 2641, 560, 2540, 568, 519, 5736, 540, 2462, 1239, 269, 898, 666, 581, 1767, 602, 945, 1197, 18544, 519, 1239, 543, 1239, 4393, 2409, 786, 4487, 519, 1646, 7678, 540, 519, 476, 2641, 560, 2540, 269, 769, 519, 2361, 540, 5841, 4987, 267, 4974, 10995, 4393, 2409, 971, 607, 10995, 3406, 666, 1589, 899, 3425, 267, 1349, 2500, 1239, 689, 2462, 1239, 267, 543, 1184, 891, 1957, 10239, 543, 2835, 269, 634, 3791, 2460, 568, 3478, 2059, 609, 1004, 269, 14464, 4987, 666, 4625, 2057, 1893, 543, 2686, 3604, 1063, 14797, 543, 2477, 267, 3976, 1818, 519, 1158, 5963, 513, 2518, 8498, 269, 1703, 568, 1869, 513, 3978, 1514, 1966, 538, 519, 2486, 267, 12077, 519, 19261, 540, 519, 2551, 2497, 543, 30612, 3125, 269, 1452, 2042, 616, 711, 519, 2042, 540, 513, 1978, 1268, 610, 513, 1978, 3609, 267, 6862, 666, 789, 581, 4625, 12193, 676, 513, 1978, 1268, 610, 513, 1978, 3609, 267, 855, 609, 519, 948, 540, 10995, 11608, 269, 13560, 269, 20290, 3025, 666, 1205, 519, 6101, 8699, 540, 513, 1920, 269, 2986, 1576, 267, 621, 568, 7543, 547, 2015, 519, 12600, 2188, 971, 607, 812, 13402, 2175, 543, 7881, 563, 7437, 519, 4367, 540, 519, 9375, 267, 594, 4898, 952, 596, 616, 2407, 540, 1719, 538, 621, 286, 1403, 596, 1616, 547, 917, 811, 827, 621, 267, 596, 1522, 607, 1134, 2119, 13660, 15281, 836, 585, 811, 1344, 610, 3406, 593, 938, 3896, 269, 0, 1607, 942, 540, 1032, 267, 5614, 8611, 666, 1376, 737, 10107, 538, 585, 536, 18365, 625, 269, 11354, 8611, 2356, 4386, 1282, 5614, 543, 519, 4505, 3275, 540, 4832, 630, 2288, 3006, 666, 2253, 607, 2038, 607, 5130, 264, 1813, 547, 519, 3476, 2395, 543, 15911, 4365, 269, 645, 18365, 625, 21028, 891, 5007, 2242, 799, 267, 538, 2490, 267, 2014, 513, 536, 22324, 779, 9449, 2157, 547, 4473, 799, 949, 1267, 538, 1978, 24040, 2152, 563, 7628, 713, 942, 267, 1813, 547, 741, 2799, 10399, 267, 536, 18365, 625, 949, 1376, 547, 8858, 811, 1514, 267, 4638, 543, 1256, 10728, 19326, 269, 1358, 949, 849, 8858, 606, 2333, 538, 2067, 19326, 267, 971, 607, 20857, 543, 562, 6235, 269, 20607, 539, 536, 18365, 625, 949, 849, 1376, 547, 723, 811, 22195, 543, 849, 606, 2333, 538, 1208, 4771, 543, 31743, 1142, 824, 269, 2991, 513, 1906, 4374, 267, 891, 19326, 1058, 9350, 1524, 543, 621, 1058, 581, 7074, 602, 1256, 952, 891, 19326, 798, 2049, 267, 27433, 536, 18365, 625, 1058, 711, 581, 9674, 8259, 789, 2965, 1376, 8165, 563, 306, 7428, 8611, 568, 835, 540, 519, 4295, 4128, 602, 6120, 1359, 707, 4620, 536, 22324, 568, 865, 1271, 607, 621, 568, 1454, 811, 2693, 547, 1198, 11032, 583, 1229, 536, 18365, 625, 269, 9282, 621, 1058, 581, 7074, 602, 621, 568, 849, 2009, 585, 621, 547, 1764, 593, 6120, 1229, 536, 18365, 625, 607, 1134, 267, 855, 713, 568, 2356, 711, 607, 4049, 563, 2521, 532, 547, 6125, 536, 18365, 625, 1282, 713, 942, 949, 849, 581, 513, 2370, 811, 2352, 982, 8912, 1813, 547, 519, 17441, 4679, 543, 865, 713, 1058, 1152, 581, 2944, 896, 2673, 15569, 543, 3063, 1416, 1058, 581, 3144, 269, 0, 1432, 568, 519, 16595, 543, 1034, 3965, 18026, 1239, 2497, 888, 28723, 4578, 23113, 910, 717, 2465, 802, 1721, 294, 2465, 802, 454, 1432, 596, 3513, 1451, 454, 277, 269, 5952, 272, 281, 11628, 4578, 23113, 454, 3849, 9330, 4578, 23113, 910, 808, 822, 520, 4812, 454, 293, 1495, 4442, 540, 519, 4578, 12856, 910, 795, 822, 520, 4812, 454, 28723, 4578, 23113, 1923, 15379, 7177, 1656, 4429, 2691, 649, 1589, 540, 1239, 3889, 267, 972, 616, 3622, 2185, 3029, 912, 28723, 4578, 23113, 910, 20861, 338, 4812, 454, 10574, 23113, 538, 10084, 1923, 5440, 476, 279, 9537, 540, 4578, 23113, 538, 10084, 454, 309, 23450, 2986, 11628, 4578, 23113, 454, 1432, 616, 930, 2835, 593, 4359, 1239, 3889, 286, 910, 2372, 7702, 454, 28723, 4578, 23113, 630, 277, 269, 5952, 272, 264, 910, 20043, 6983, 338, 841, 269, 2466, 12975, 454, 13356, 476, 6860, 267, 476, 1001, 279, 5788, 11628, 4578, 23113, 269, 4578, 23113, 616, 1031, 547, 4558, 543, 4383, 1239, 538, 606, 3608, 543, 22555, 1259, 585, 5488, 543, 2653, 1569, 543, 14842, 540, 4578, 269, 2368, 540, 519, 2596, 1239, 3889, 616, 1488, 7590, 267, 21912, 8266, 267, 853, 2931, 267, 6581, 1132, 3092, 269, 901, 2985, 786, 2270, 930, 540, 519, 1950, 543, 4359, 4578, 23113, 899, 2598, 329, 2002, 30498, 267, 8682, 5174, 531, 3496, 19029, 267, 21540, 618, 6693, 8266, 2986, 11628, 4578, 23113, 910, 7046, 7049, 639, 21842, 281, 6693, 277, 269, 5952, 272, 281, 11628, 4578, 23113, 4515, 269, 661, 20891, 5915, 12578, 8080, 547, 11628, 4578, 23113, 267, 513, 10927, 1362, 693, 20037, 269, 7490, 3442, 707, 19496, 281, 476, 1708, 272, 11354, 282, 476, 1001, 278, 12096, 282, 476, 1001, 275, 11354, 282, 476, 1001, 273, 11354, 282, 476, 1001, 271, 11354, 282, 476, 1220, 278, 11354, 282, 476, 1220, 276, 11354, 630, 15290, 519, 1362, 729, 476, 277, 269, 8660, 278, 264, 476, 1220, 274, 11354, 630, 15290, 519, 1362, 729, 476, 277, 269, 8660, 278, 994, 28723, 4578, 23113, 910, 645, 6130, 323, 2426, 2201, 8950, 3163, 454, 28723, 1239, 3889, 616, 835, 540, 519, 1034, 1271, 10459, 540, 1239, 2257, 2094, 789, 616, 1031, 585, 13936, 267, 12180, 267, 5883, 1239, 543, 1344, 547, 1118, 621, 811, 3608, 267, 4443, 547, 1569, 267, 543, 12189, 269, 1358, 616, 519, 5748, 585, 8888, 543, 3384, 3608, 543, 2500, 3301, 543, 6620, 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 ]
[ 3943, 543, 12428, 2686, 543, 5339, 5389, 607, 789, 5905, 593, 2648, 1063, 2021, 269, 2701, 5956, 609, 513, 2689, 540, 5375, 3332, 7282, 24139, 2534, 267, 609, 782, 519, 8912, 7422, 3823, 519, 1259, 538, 799, 621, 729, 2854, 856, 540, 519, 2594, 1256, 538, 519, 957, 540, 18149, 31766, 269, 1703, 568, 849, 513, 4901, 540, 5376, 339, 3821, 6231, 2237, 606, 3573, 543, 2143, 1576, 1770, 538, 513, 1837, 585, 2852, 1053, 1644, 547, 519, 1349, 1657, 267, 2519, 593, 18161, 4953, 23802, 1315, 23527, 1299, 21771, 1315, 11146, 1299, 661, 8527, 3821, 1315, 11576, 7081, 543, 2677, 790, 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, 7170, 281, 4197, 26790, 543, 4706, 8177, 593, 3776, 13474, 692, 8893, 20638, 281, 4841, 786, 1174, 519, 1523, 540, 11776, 267, 922, 1764, 593, 519, 2136, 2276, 267, 543, 1451, 827, 930, 1699, 2152, 4478, 621, 780, 7072, 912, 5331, 596, 2811, 24386, 707, 11435, 267, 6031, 1434, 25742, 547, 707, 2828, 267, 543, 3478, 4712, 547, 1376, 513, 1007, 1272, 538, 1776, 2197, 256, 2334, 781, 1018, 11082, 798, 950, 789, 2097, 547, 3013, 1107, 789, 4734, 3297, 3388, 5432, 547, 1628, 513, 1732, 2104, 1934, 269, 4658, 6294, 3433, 585, 1585, 4128, 899, 5275, 3106, 267, 3255, 267, 610, 22653, 1746, 609, 1920, 2818, 269, 2913, 781, 2263, 875, 11776, 5540, 938, 4182, 543, 1946, 621, 781, 3006, 23503, 780, 4089, 476, 272, 281, 1548, 6496, 898, 6399, 1677, 8056, 580, 3433, 888, 2304, 834, 9404, 580, 7949, 257, 568, 2576, 945, 7575, 547, 513, 1114, 2197, 703, 2056, 547, 2661, 972, 18385, 269, 901, 1847, 1223, 581, 1813, 547, 1896, 2188, 971, 607, 2797, 19727, 267, 2804, 7965, 267, 610, 3274, 16462, 547, 6443, 6068, 3283, 2713, 11992, 269, 4495, 606, 1367, 3587, 513, 3656, 17055, 610, 12504, 540, 741, 1007, 1753, 267, 789, 2811, 1100, 3476, 2808, 606, 19366, 855, 2864, 851, 540, 519, 3309, 5958, 540, 602, 2486, 780, 7078, 281, 6056, 827, 623, 32631, 20266, 27591, 267, 835, 540, 1686, 781, 1034, 4583, 26719, 269, 1261, 729, 4535, 538, 8050, 855, 6170, 1454, 540, 1010, 2937, 1272, 2324, 538, 5333, 269, 4653, 267, 646, 568, 9976, 607, 1312, 513, 5053, 543, 3943, 7376, 2439, 4089, 476, 273, 281, 645, 7451, 1299, 8232, 454, 2691, 1004, 2911, 827, 11776, 267, 596, 1522, 5873, 873, 1865, 834, 321, 4650, 1852, 257, 610, 834, 9798, 3800, 1701, 1452, 2474, 3277, 547, 4031, 543, 2853, 2966, 547, 4383, 945, 13788, 543, 3762, 513, 2197, 269, 22749, 1711, 891, 3652, 547, 2149, 741, 4961, 267, 2226, 1931, 267, 543, 10038, 9194, 8928, 269, 1717, 267, 5883, 10665, 666, 581, 1950, 267, 2523, 950, 1082, 1004, 1616, 547, 4283, 513, 2197, 811, 3533, 982, 922, 1949, 1450, 780, 12244, 281, 8571, 513, 4605, 6029, 1018, 596, 1589, 834, 321, 4650, 3354, 257, 5654, 899, 269, 5457, 547, 2015, 1919, 899, 31966, 267, 22651, 267, 2638, 9557, 267, 610, 1256, 2029, 1031, 547, 6895, 7127, 2798, 780, 4089, 476, 274, 281, 7351, 13891, 919, 6168, 26790, 454, 12024, 1022, 1713, 3390, 267, 11776, 3884, 1405, 1863, 689, 15784, 269, 2368, 11570, 5855, 827, 2816, 6735, 267, 2686, 2242, 267, 610, 2883, 24675, 593, 2950, 8391, 1804, 2338, 540, 20404, 269, 11524, 11168, 19493, 4145, 267, 14120, 4763, 267, 543, 9301, 3140, 9551, 757, 540, 22205, 1346, 538, 991, 269, 1306, 2518, 2621, 11200, 267, 5717, 1472, 11776, 3136, 9687, 1932, 780, 6962, 912, 8139, 11776, 3322, 6616, 922, 4214, 267, 16734, 922, 5222, 593, 2477, 630, 3697, 23600, 1070, 543, 1565, 827, 18312, 8369, 3823, 519, 2339, 269, 1635, 1373, 3222, 540, 891, 3344, 267, 649, 1831, 5483, 543, 28450, 2043, 5827, 540, 2502, 538, 15826, 7391, 827, 1271, 3584, 5935, 938, 1158, 2221, 780, 30206, 5999, 912, 272, 269, 4208, 798, 1004, 3442, 547, 6294, 3433, 5103, 2591, 3238, 888, 273, 269, 1215, 1281, 11776, 1860, 2199, 11615, 267, 4529, 267, 543, 3506, 888, 274, 269, 9701, 972, 581, 7182, 593, 875, 1082, 1004, 666, 4283, 513, 2197, 1142, 1032, 286, 4208, 610, 1946, 711, 286, 0, 2080, 568, 606, 1349, 689, 513, 2546, 912, 10454, 8473, 6433, 538, 476, 1911, 260, 15608, 24068, 779, 13337, 269, 1411, 666, 8044, 602, 18322, 1308, 24273, 723, 513, 1688, 538, 621, 269, 1411, 666, 1448, 547, 905, 1188, 1652, 4507, 676, 6608, 538, 8473, 2829, 269, 1809, 693, 519, 1439, 540, 519, 1554, 519, 2601, 602, 649, 616, 7680, 519, 10782, 12289, 540, 10363, 30659, 602, 938, 2197, 814, 2479, 2938, 568, 1317, 519, 24068, 6953, 1551, 529, 12512, 814, 8118, 519, 10665, 563, 5445, 666, 3409, 789, 10093, 1406, 269, 1358, 1131, 581, 14084, 952, 789, 1705, 269, 5272, 2460, 540, 741, 8473, 3609, 7512, 10363, 30659, 547, 3444, 269, 18421, 789, 4076, 2944, 547, 4894, 8473, 3354, 814, 7707, 2989, 519, 2095, 540, 5061, 543, 824, 10363, 25584, 269, 1358, 723, 2800, 539, 713, 4182, 1799, 29342, 12350, 569, 267, 782, 519, 1247, 8380, 17608, 1453, 538, 8594, 607, 789, 2461, 986, 6244, 543, 911, 742, 17673, 2429, 741, 3460, 547, 519, 8473, 563, 7804, 269, 9478, 30330, 7637, 1767, 267, 968, 306, 24678, 5779, 568, 519, 13423, 727, 540, 3706, 1905, 549, 947, 539, 1426, 267, 543, 621, 4667, 14255, 25771, 557, 547, 1589, 621, 4465, 1406, 723, 1072, 2360, 2147, 547, 824, 3706, 1905, 549, 947, 539, 22938, 3536, 1848, 1280, 2353, 12677, 11555, 3201, 14132, 6659, 538, 2250, 584, 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, 6092, 5149, 281, 7913, 9012, 543, 1715, 16370, 538, 26353, 1315, 7087, 12745, 338, 692, 1103, 2221, 781, 10562, 1158, 267, 3059, 2923, 543, 1007, 4066, 723, 1831, 1898, 2645, 585, 7499, 4082, 543, 2686, 11091, 269, 901, 1576, 1770, 12538, 883, 519, 1909, 602, 891, 6932, 5867, 1404, 1369, 6805, 2950, 267, 3226, 538, 6935, 547, 519, 960, 540, 3906, 899, 519, 3955, 12677, 4659, 585, 5753, 543, 20390, 30105, 630, 296, 2562, 1070, 513, 7463, 1560, 540, 519, 9257, 540, 1977, 2276, 630, 302, 3008, 1040, 1635, 3695, 1585, 2013, 2090, 267, 7811, 10850, 267, 543, 4052, 3156, 267, 596, 786, 2744, 513, 4514, 7071, 585, 875, 6805, 5159, 2308, 2029, 547, 3895, 1514, 1689, 267, 8190, 6561, 267, 543, 6536, 3444, 14426, 5188, 780, 272, 269, 4197, 7913, 9012, 543, 1715, 16370, 692, 6524, 11362, 883, 1808, 8658, 267, 1577, 721, 1101, 12172, 1018, 649, 1611, 676, 1412, 21745, 1388, 2923, 262, 543, 1412, 2908, 4066, 9538, 7913, 2923, 13315, 782, 3029, 540, 2792, 543, 1148, 2813, 998, 7857, 1242, 9055, 267, 1519, 7270, 267, 8924, 267, 5691, 4641, 2833, 267, 543, 1514, 5121, 269, 11531, 267, 1007, 4066, 3277, 547, 5969, 12967, 10124, 602, 2981, 875, 1004, 2170, 609, 1344, 267, 1142, 824, 267, 543, 741, 1604, 1765, 1410, 3263, 1331, 5841, 4987, 267, 9893, 267, 21284, 4641, 267, 543, 7061, 7384, 780, 4322, 2645, 2709, 13778, 3255, 585, 12790, 2950, 267, 7175, 873, 547, 24244, 9739, 267, 2671, 2984, 267, 543, 1921, 2066, 5318, 9883, 269, 1280, 6805, 9082, 267, 945, 1419, 3068, 11528, 7130, 543, 2144, 5501, 267, 19713, 3059, 2923, 543, 1007, 4066, 666, 581, 16779, 267, 3056, 547, 2799, 15287, 543, 6041, 780, 272, 269, 3203, 2065, 20309, 538, 14044, 28805, 692, 29378, 5159, 616, 5051, 7432, 547, 3059, 2923, 607, 513, 1797, 540, 11589, 2933, 543, 4101, 8789, 6386, 827, 741, 4529, 269, 3245, 7317, 19698, 547, 15138, 9423, 267, 891, 15888, 29379, 2757, 18305, 1247, 8508, 2413, 15312, 780, 2690, 3236, 267, 8225, 7376, 4787, 1177, 3317, 10620, 3096, 3381, 3756, 543, 2577, 514, 9874, 630, 16344, 7825, 1136, 1210, 3014, 9817, 264, 547, 2263, 670, 7596, 523, 6242, 2317, 324, 1686, 543, 13777, 584, 1143, 269, 4173, 1788, 834, 11742, 9199, 767, 2401, 12814, 257, 20217, 5716, 547, 3460, 7258, 1079, 7111, 23233, 10188, 942, 543, 2230, 538, 3406, 540, 3961, 543, 2146, 269, 3414, 713, 2502, 3898, 267, 1352, 2591, 11475, 543, 3091, 4244, 5380, 593, 30724, 2940, 640, 780, 20118, 267, 8241, 16971, 7104, 918, 5306, 10937, 8862, 541, 571, 8551, 18271, 5691, 4641, 547, 30712, 10723, 4609, 8697, 676, 7810, 4229, 269, 4256, 1788, 834, 303, 1551, 541, 13879, 22911, 1633, 2437, 2636, 3755, 547, 1995, 513, 1631, 1673, 652, 5797, 539, 26868, 31523, 609, 1272, 267, 7551, 5807, 4656, 543, 8716, 5726, 3646, 269, 1452, 1806, 6542, 875, 3059, 2923, 6087, 5159, 547, 19467, 2250, 267, 1459, 267, 543, 2104, 538, 8903, 2081, 602, 13469, 609, 3309, 9458, 780, 272, 269, 8836, 27264, 543, 4860, 1388, 1436, 692, 19741, 7499, 4082, 267, 3059, 2923, 849, 5713, 607, 513, 3532, 1907, 585, 8497, 543, 26016, 1944, 6805, 4654, 267, 9821, 267, 543, 1702, 1949, 269, 2060, 20648, 21501, 602, 5176, 3368, 540, 519, 1158, 781, 476, 278, 267, 1822, 4654, 949, 14897, 676, 519, 1439, 540, 713, 2540, 267, 14849, 2962, 568, 2877, 547, 16102, 30608, 2686, 6561, 780, 3080, 8037, 11036, 568, 519, 29510, 19932, 5741, 267, 799, 18252, 6531, 2861, 5989, 547, 2445, 267, 4558, 267, 543, 22412, 622, 10409, 1239, 689, 693, 16151, 2950, 269, 20305, 666, 1569, 2200, 971, 607, 8301, 19827, 267, 6863, 8638, 267, 543, 21342, 9382, 267, 14123, 1893, 1565, 543, 1382, 269, 5047, 267, 519, 3760, 7512, 5698, 1851, 19174, 267, 5065, 10529, 267, 543, 10509, 12439, 267, 2417, 29103, 1359, 922, 1764, 780, 5194, 1383, 2501, 689, 6792, 267, 1141, 2904, 534, 2950, 723, 2919, 3301, 1572, 834, 9802, 320, 298, 527, 257, 547, 4001, 18577, 6128, 543, 1603, 1949, 269, 1635, 10128, 2757, 15338, 690, 625, 609, 3059, 2645, 267, 7855, 2327, 602, 7820, 5481, 2611, 4448, 547, 741, 5072, 1247, 16565, 3407, 13241, 1983, 269, 6270, 3785, 20838, 519, 1761, 540, 1007, 4066, 547, 1312, 3561, 543, 7794, 2686, 2853, 780, 272, 269, 9061, 4211, 8590, 21664, 543, 15511, 692, 7661, 267, 3059, 2923, 2488, 2189, 3255, 585, 3444, 14426, 5385, 1063, 6805, 543, 1875, 23949, 4246, 5095, 269, 15107, 13257, 899, 519, 28834, 2817, 7467, 540, 519, 1977, 4095, 781, 834, 30943, 11310, 476, 11740, 4113, 257, 2709, 3872, 2326, 2966, 547, 7006, 601, 20887, 543, 3895, 8994, 1620, 269, 3171, 520, 1005, 7317, 7851, 267, 7044, 267, 543, 3119, 2959, 267, 519, 3896, 22851, 6267, 538, 2565, 7391, 827, 17091, 267, 16285, 267, 543, 6043, 780, 19602, 267, 7341, 899, 519, 5993, 5994, 2793, 20937, 17912, 1341, 9012, 16635, 13686, 6805, 13007, 1247, 19788, 2518, 9458, 269, 5853, 539, 538, 4516, 267, 713, 2680, 8711, 5499, 1568, 17364, 4670, 267, 8613, 267, 543, 3059, 6575, 267, 3246, 513, 2230, 585, 3860, 8186, 547, 27721, 543, 8300, 835, 1776, 269, 9024, 328, 2510, 899, 891, 9414, 875, 3059, 2923, 666, 7520, 6209, 13341, 1063, 3309, 9082, 267, 5807, 17604, 543, 3838, 2208, 780, 6962, 692, 2026, 7152, 2429, 713, 1576, 1770, 267, 3059, 2923, 543, 1007, 4066, 3180, 10373, 9153, 585, 14027, 6805, 3123, 543, 7215, 269, 6787, 6964, 585, 7499, 18697, 267, 2686, 11091, 267, 610, 3444, 14426, 19929, 267, 891, 2645, 5512, 5892, 796, 19960, 1441, 7399, 602, 16637, 10923, 6302, 543, 4161, 6848, 8155, 269, 898, 568, 2629, 267, 2705, 267, 602, 649, 3136, 9691, 6313, 741, 6165, 267, 4180, 12581, 1569, 543, 9319, 519, 10419, 6672, 540, 5739, 21050, 525, 269, 8307, 1287, 666, 649, 5963, 12260, 519, 13710, 1379, 540, 3059, 2923 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 476, 7761, 269, 272, 804, 18636, 1229, 3764, 476, 1691, 1296, 1310, 476, 1960, 277, 269, 476, 272, 269, 866, 3738, 6567, 476, 275, 630, 476, 271, 269, 276, 476, 1428, 269, 866, 13008, 476, 272, 269, 476, 13679, 269, 4112, 534, 725, 786, 4268, 269, 277, 815, 476, 271, 269, 276, 25620, 508, 25620, 506, 476, 271, 269, 476, 272, 269, 277, 815, 1535, 476, 271, 269, 2190, 476, 273, 476, 271, 815, 476, 271, 269, 2190, 15233, 519, 13392, 4542, 281, 513, 815, 476, 271, 269, 272, 1535, 9881, 486, 476, 866, 815, 476, 14321, 269, 866, 1535, 1341, 476, 2764, 269, 278, 1535, 476, 274, 269, 12226, 949, 4268, 269, 1281, 711, 1118, 2631, 269, 280, 4366, 4366, 476, 271, 269, 589, 3732, 1689, 568, 281, 630, 273, 1535, 6567, 476, 274, 264, 476, 273, 815, 476, 1839, 630, 273, 1535, 6567, 476, 274, 264, 476, 273, 815, 13008, 476, 1839, 476, 273, 1535, 6567, 476, 274, 815, 13008, 276, 476, 13932, 269, 634, 4542, 1281, 711, 2203, 519, 1239, 1360, 1134, 269, 276, 815, 1535, 476, 271, 269, 476, 273, 269, 14539, 607, 623, 1370, 823, 8065, 269, 25320, 264, 476, 273, 476, 272, 269, 630, 3738, 476, 12739, 269, 5379, 278, 7830, 476, 272, 269, 278, 1535, 1341, 476, 1321, 269, 278, 476, 273, 476, 273, 25620, 505, 476, 273, 269, 271, 2918, 476, 271, 269, 25320, 536, 815, 6567, 272, 269, 278, 1535, 1341, 476, 1321, 269, 631, 815, 476, 271, 269, 1107, 476, 15647, 269, 278, 1535, 1341, 476, 1321, 269, 866, 13008, 476, 271, 269, 6924, 274, 10695, 1535, 284, 610, 1535, 815, 476, 271, 269, 589, 3732, 1689, 568, 281, 4949, 476, 273, 1341, 524, 815, 476, 271, 666, 581, 12193, 1210, 536, 815, 476, 271, 1547, 278, 25620, 509, 815, 1535, 25620, 507, 25620, 510, 476, 1691, 9881, 486, 1535, 1703, 786, 581, 476, 1428, 269, 15448, 547, 1118, 519, 3948, 3020, 786, 4268, 269, 866, 6567, 476, 271, 269, 866, 1535, 1341, 476, 1240, 269, 271, 2918, 476, 271, 269, 25320, 343, 6567, 476, 272, 269, 476, 13893, 269, 7301, 269, 277, 25620, 508, 25620, 506, 476, 271, 269, 25320, 343, 476, 273, 6567, 476, 272, 269, 25320, 343, 476, 273, 6567, 476, 272, 269, 2306, 2631, 476, 14065, 269, 866, 3738, 13008, 476, 8182, 269, 5549, 269, 4112, 534, 725, 786, 4268, 269, 1547, 1281, 711, 1118, 2631, 269, 15448, 547, 1118, 519, 3948, 3020, 786, 4268, 269, 667, 31034, 540, 5111, 2085, 476, 866, 543, 2085, 476, 7761, 616, 4397, 547, 581, 3238, 538, 476, 1015, 14603, 26301, 829, 476, 1911, 2929, 5195, 9141, 269, 2190, 3738, 476, 273, 630, 476, 271, 269, 9262, 274, 10695, 476, 271, 269, 25320, 7565, 1240, 269, 1281, 711, 1118, 2631, 269, 272, 815, 476, 271, 269, 6924, 274, 10695, 9881, 486, 476, 271, 269, 276, 476, 15757, 269, 271, 2918, 21414, 519, 4082, 547, 3489, 1079, 3435, 269, 12726, 7778, 281, 1411, 1058, 12990, 883, 519, 3312, 3830, 269, 631, 815, 476, 271, 269, 278, 476, 273, 476, 273, 25620, 505, 476, 274, 269, 7093, 7528, 28987, 281, 27284, 16610, 540, 10789, 476, 16318, 269, 634, 4542, 21467, 560, 23660, 519, 1297, 540, 14603, 10913, 269, 7301, 269, 630, 3738, 476, 13970, 269, 866, 1535, 1341, 476, 2764, 269, 271, 2918, 476, 271, 269, 610, 476, 1708, 272, 269, 866, 1341, 476, 271, 269, 7301, 269, 630, 6567, 272, 269, 4112, 534, 725, 786, 4268, 269, 278, 25620, 509, 815, 1535, 25620, 507, 25620, 510, 476, 1839, 815, 1535, 1703, 786, 581, 476, 1626, 804, 18636, 1229, 3764, 476, 1839, 1296, 1310, 476, 1960, 277, 269, 275, 1626, 272, 6567, 476, 271, 780, 274, 269, 14539, 607, 623, 1370, 823, 8065, 269, 7176, 280, 476, 277, 269, 476, 275, 269, 2913, 1535, 815, 519, 1297, 540, 1296, 2094, 476, 3422, 280, 269, 476, 271, 4391, 815, 476, 9873, 269, 271, 4391, 815, 519, 3328, 14057, 585, 2367, 1535, 1341, 630, 1535, 1341, 476, 1691, 269, 3583, 1535, 815, 476, 6344, 271, 6969, 519, 5786, 519, 2780, 779, 3902, 729, 8096, 6344, 271, 269, 1535, 1341, 476, 5611, 476, 15094, 269, 476, 276, 269, 2913, 1535, 815, 519, 2780, 779, 3902, 1354, 519, 5786, 269, 272, 1535, 815, 476, 2004, 476, 3451, 260, 540, 4775, 4195, 5443, 786, 4431, 713, 1259, 476, 2004, 1296, 1310, 476, 3422, 280, 269, 271, 2918, 769, 476, 1220, 278, 519, 3328, 3450, 14057, 585, 2021, 729, 8096, 6872, 269, 1547, 476, 12010, 513, 476, 273, 815, 476, 1691, 269, 271, 2918, 269, 476, 273, 269, 1789, 1535, 815, 476, 279, 2412, 476, 271, 269, 476, 27888, 476, 273, 1535, 1341, 476, 1691, 269, 1535, 6567, 476, 271, 269, 634, 13486, 568, 476, 6344, 18126, 7381, 269, 476, 6434, 6567, 476, 272, 269, 1535, 1341, 476, 1691, 269, 279, 476, 4572, 1341, 476, 6321, 1535, 1341, 476, 275, 1535, 476, 273, 815, 476, 17168, 6744, 8672, 20113, 476, 272, 269, 476, 736, 1341, 476, 271, 269, 476, 6110, 513, 815, 13008, 6344, 1107, 6344, 1590, 581, 15653, 269, 476, 27888, 476, 273, 1535, 815, 476, 12893, 269, 272, 343, 815, 476, 3451, 6567, 272, 269, 513, 476, 273, 1341, 536, 273, 815, 524, 273, 513, 476, 273, 1341, 630, 2004, 264, 476, 273, 815, 630, 9873, 264, 273, 513, 476, 273, 1341, 476, 7742, 271, 815, 476, 1626, 269, 7818, 1535, 815, 476, 6872, 269, 2913, 1535, 1341, 476, 4510, 815, 519, 3259, 540, 519, 5480, 269, 476, 273, 331, 1341, 476, 273, 530, 815, 623, 476, 273, 263, 1535, 1341, 476, 4510, 264, 1341, 476, 273, 1535, 815, 476, 25971, 476, 273, 1535, 1341, 476, 6434, 1341, 476, 273, 1535, 815, 476, 25971, 476, 275, 1535, 1341, 476, 6434, 815, 476, 25971, 476, 275, 1535, 815, 476, 1220, 476, 1220, 1535, 284, 476, 275, 1535, 815, 476, 2004, 1535, 1341, 476, 4510, 815, 476, 11463, 634, 7516, 540, 519, 5480, 616, 476, 2004, 676, 476, 11463, 269, 476, 271, 4391, 815, 476, 9873, 269, 2913, 1535, 815, 519, 3328, 14057, 585, 2021, 2913, 1535, 1341, 476, 1691, 269, 5549, 269, 630, 1626, 1341, 476, 273, 1535, 3738, 263, 1321, 1341, 476, 273, 1535, 264, 815, 476, 17168, 966, 299, 815, 14160, 6567, 31368, 1341, 19301, 31368, 6567, 14160, 815, 22085, 6567, 700, 309, 595, 630, 715, 6567, 700, 3738, 815, 22085, 6567, 700, 309, 595, 630, 715, 6567, 700, 264, 22085, 6567, 700, 309, 715, 6567, 299, 715, 6567, 299, 22085, 6567, 700, 309, 700, 309, 6567, 22085, 610, 595, 284, 715, 6567, 299, 700, 6629, 301, 815, 476, 10204, 269, 272, 343, 815, 476, 3451, 6567, 476, 6434, 6567, 272, 269, 3583, 1535, 815, 476, 279, 2412, 476, 279, 2412, 1535, 284, 476, 271, 269, 279, 595, 6629, 306, 715, 700, 966, 299, 815, 14160, 6567, 630, 595, 6567, 590, 3738, 715, 966, 815, 290, 6629, 476, 15433, 269, 476, 27888, 1535, 1341, 1535, 1341, 476, 1691, 269, 4962, 343, 476, 15876, 269, 2913, 1535, 815, 519, 8700, 540, 519, 5480, 269, 476, 275, 1535, 476, 273, 1341, 476, 6321, 1535, 6567, 476, 12553, 815, 476, 271, 1535, 476, 273, 1341, 476, 1691, 1535, 6567, 476, 3953, 815, 476, 271, 630, 1535, 1341, 476, 1626, 7565, 1535, 6567, 476, 273, 264, 815, 476, 271, 1535, 1341, 476, 1626, 815, 476, 271, 610, 1535, 6567, 476, 273, 815, 476, 271, 1535, 815, 6567, 1626, 1535, 284, 273, 1107, 1626, 1590, 581, 15653, 269, 7176, 280, 543, 519, 3328, 14057, 585, 2367, 729, 8096, 7761, 269, 610, 476, 1001, 280, 269, 476, 271, 4391, 815, 476, 7761, 269, 476, 10037, 14645, 9736, 476, 1001, 271, 21942, 4065, 269, 272, 343, 815, 6567, 4649, 6567, 4649, 1535, 284, 6567, 272, 269, 476, 275, 1535, 1341, 476, 6110, 8791, 623, 269, 476, 271, 4391, 3738, 815, 476, 9873, 269, 521, 815, 6567, 1626, 339, 476, 273, 1341, 642, 271, 512, 476, 271, 815, 6567, 1626, 339, 476, 273, 1341, 642, 271, 512, 6567, 521, 513, 815, 6567, 1626, 269, 524, 815, 6567, 521, 512, 284, 512, 284, 512, 284, 6567, 341, 271, 13008, 630, 642, 271, 3738, 6567, 476, 275, 630, 6567, 1626, 3738, 263, 6567, 521, 3738, 476, 273, 630, 6567, 1626, 3738, 6567, 341, 271, 13008, 630, 642, 271, 3738, 476, 273, 476, 273, 6567, 476, 5038, 338, 6567, 3953, 642, 271, 13008, 642, 271, 476, 273, 6567, 476, 5038, 521, 476, 3953, 476, 14378, 269, 634, 2619, 1590, 581, 476, 273, 3952, 2647, 269, 7093, 15612, 639, 476, 275, 292, 8791, 623, 269, 536, 815, 642, 271, 16317, 516, 9134, 829, 16771, 476, 276, 269, 2913, 1535, 1341, 476, 275, 815, 1297, 540, 4374, 32228, 2103, 6108, 593, 16314, 269, 476, 1822, 269, 279, 1535, 815, 476, 274, 269, 279, 476, 273, 1535, 1341, 476, 275, 6567, 476, 275, 815, 476, 1556, 269, 476, 1822, 269, 476, 1822, 269, 476, 1822, 1535, 6567, 23841, 269, 476, 1822, 6567, 476, 23841, 269, 476, 1822, 25620, 509, 815, 1535, 263, 1535, 1341, 476, 274, 264, 1535, 1535, 266, 274, 25620, 507, 25620, 510, 476, 276, 269, 476, 1822, 269, 11644, 5590, 623, 269, 280, 4892, 6108, 606, 3328, 540, 476, 274, 269, 14539, 607, 623, 1370, 823, 8065, 269, 476, 11025, 14645, 9736, 476, 1001, 271, 21942, 4065, 269, 280, 4374, 593, 16314, 543, 32228, 2103, 6108, 606, 3328, 540, 476, 278, 269, 1547, 7093, 7528, 28987, 281, 27284, 16610, 540, 10789, 634, 3312, 2179, 540, 2724, 829, 1268, 269, 5549, 269, 476, 1822, 269, 476, 1822, 815, 476, 271, 1535, 476, 273, 1341, 476, 274, 343, 6567, 476, 2412, 815, 476, 271, 630, 1535, 1341, 476, 279, 7565, 1535, 6567, 476, 276, 264, 815, 476, 271, 1535, 1341, 476, 279, 815, 476, 271, 610, 1535, 6567, 476, 276, 815, 476, 271, 1535, 815, 6567, 279, 1535, 284, 276, 1107, 279, 1590, 581, 15653, 269, 476, 1822, 815, 1535, 1535, 266, 274, 476, 276, 269, 280, 1535, 1341, 476, 275, 815, 476, 278, 269, 476, 1822, 1535, 815, 476, 276, 269, 476, 1822, 25620, 505, 476, 276, 269, 476, 1822, 25620, 508, 1535, 263, 1535, 1341, 476, 274, 264, 25620, 506, 6567, 476, 23841, 269, 476, 1822, 6567, 476, 23841, 269, 2913, 1535, 815, 1297, 540, 4374, 4892, 6108, 593, 16314, 269, 476, 1822, 269, 1535, 1341, 630, 1535, 1341, 476, 275, 264, 815, 476, 1556, 269, 476, 1822, 269, 634, 1007, 2179, 540, 2724, 829, 1268, 269, 1535, 1341, 630, 1535, 1341, 476, 6812, 272, 264, 815, 476, 21857, 280, 1535, 1341, 1535, 1341, 476, 6812, 272, 815, 476, 21857, 280, 476, 273, 1535, 1341, 476, 6812, 272, 6567, 476, 6812, 272, 815, 476, 21857, 280, 6567, 476, 6812, 272, 476, 273, 1535, 815, 476, 3707, 279, 1535, 815, 476, 9032, 275, 1535, 1341, 476, 6812, 272, 815, 476, 14028, 276, 4892, 6170, 476, 9032, 275, 3108, 6947, 547, 5925, 543, 476, 14028, 276, 3108, 8384, 7641, 269, 476, 1822, 269, 476, 1822, 263, 1535, 1341, 476, 274, 264, 6567, 476, 23841, 269, 476, 276, 269, 10219, 269, 2913, 1535, 815, 519, 942, 6170, 6947, 547, 5925, 269, 476, 1822, 1535, 476, 273, 6567, 476, 272, 269, 280, 4374, 269, 476, 1822, 269, 476, 1822, 1535, 1341, 476, 1428, 269, 476, 273, 269, 2913, 1535, 1341, 476, 6812, 272, 815, 519, 942, 6170, 8384, 7641, 269, 476, 1822, 1535, 263, 1535, 1341, 476, 274, 264, 815, 476, 276, 269, 476, 1822, 1535, 476, 278, 269, 476, 1822, 269, 279, 1535, 1341, 1535, 1341, 476, 275, 815, 476, 1556, 269, 279, 6567, 476, 275, 476, 273, 1535, 815, 476, 278, 269, 279, 476, 272, 269, 10219, 269, 476, 1822, 1535, 1341, 476, 1428, 269, 476, 1822, 1535, 476, 273, 6567, 476, 272, 269, 1703, 941, 476, 276, 1004, 538, 519, 3312, 1895, 269, 476, 1822, 476, 276, 780, 1822, 6567, 476, 2764, 269, 1535, 1341, 630, 273, 1535, 6567, 476, 6507, 275, 271, 264, 815, 476, 4200, 269, 2913, 476, 273, 1535, 6567, 476, 6507, 275, 271, 815, 519, 3328, 14057, 585, 2780, 23501, 269, 476, 1822, 815, 476, 280, 269, 4968, 1341, 476, 1911, 271, 263, 280, 264, 815, 476, 2420, 269, 476, 1822, 634, 2551, 538, 519, 1032, 476, 1708, 276, 786, 581, 476, 280, 269, 476, 278, 2412, 1535, 815, 476, 3374, 269, 22213, 269, 476, 271, 2568, 1535, 1341, 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 ]
[ 14491, 263, 30915, 994, 1038, 15044, 8217, 815, 1582, 269, 548, 27044, 542, 5334, 677, 4590, 1038, 1582, 27863, 8443, 272, 267, 273, 267, 274, 267, 276, 267, 1015, 267, 1240, 267, 2767, 3910, 15044, 8217, 267, 1412, 23917, 3085, 32075, 339, 6474, 17210, 825, 1219, 1449, 26000, 3005, 5334, 677, 4311, 2187, 1038, 1412, 5353, 3005, 4990, 7055, 1038, 5667, 9285, 8217, 815, 1496, 736, 267, 3393, 267, 2537, 267, 272, 267, 273, 267, 275, 267, 280, 267, 274, 267, 3445, 267, 276, 2639, 1038, 585, 7329, 343, 538, 5667, 9285, 8217, 912, 2018, 1582, 269, 548, 14491, 263, 30915, 994, 1038, 15044, 8217, 815, 1582, 269, 548, 269, 572, 3005, 5334, 677, 4590, 1038, 1582, 27863, 8443, 272, 267, 273, 267, 274, 267, 275, 267, 276, 267, 280, 267, 736, 267, 2537, 267, 3393, 267, 3445, 3910, 15044, 8217, 267, 1412, 23917, 3085, 32075, 339, 6474, 262, 9239, 825, 1219, 1449, 318, 515, 777, 5334, 677, 4311, 2187, 1038, 1412, 3891, 777, 4990, 7055, 1038, 5667, 9285, 8217, 815, 1496, 736, 267, 3393, 267, 2537, 267, 272, 267, 273, 267, 275, 267, 280, 267, 274, 267, 3445, 267, 276, 2639, 1038, 585, 7329, 343, 538, 5667, 9285, 8217, 912, 2018, 1582, 269, 548, 14491, 263, 30915, 994, 1038, 15044, 8217, 815, 1582, 269, 548, 269, 515, 777, 5334, 677, 4590, 1038, 1582, 27863, 8443, 272, 267, 273, 267, 274, 267, 275, 267, 276, 267, 280, 267, 736, 267, 2537, 267, 3393, 267, 3445, 3910, 15044, 8217, 267, 1412, 23917, 3085, 32075, 339, 6474, 262, 9239, 604, 6449, 4067, 1029, 2652, 21507, 10852, 23922, 825, 1770, 11687, 6230, 664, 4590, 0, 5228, 6316, 8217, 318, 15953, 338, 1104, 19219, 454, 5035, 667, 12396, 912, 825, 1219, 6449, 8181, 9191, 1345, 267, 11034, 2187, 1038, 1582, 269, 11034, 815, 1376, 692, 825, 1219, 21986, 531, 4311, 2187, 1038, 8818, 815, 1582, 14714, 871, 4590, 1038, 8818, 4311, 269, 11034, 994, 1038, 2132, 1582, 269, 14310, 692, 825, 1219, 10518, 4311, 2187, 1038, 1582, 269, 14310, 815, 11713, 1038, 1219, 8818, 27316, 2187, 2018, 1820, 4311, 269, 14310, 994, 2018, 1582, 269, 14310, 6910, 27316, 994, 2018, 6843, 269, 6665, 1243, 815, 6936, 454, 2018, 585, 562, 538, 6843, 269, 31371, 26092, 912, 3546, 952, 562, 269, 6665, 1243, 2652, 8771, 912, 7386, 8818, 3799, 264, 825, 1948, 421, 479, 508, 13213, 368, 692, 1038, 2132, 8818, 692, 2745, 3488, 418, 372, 361, 420, 358, 355, 421, 500, 489, 417, 356, 489, 5073, 3534, 815, 19219, 3488, 288, 5073, 333, 321, 815, 19219, 3488, 289, 5073, 333, 322, 815, 19219, 3488, 290, 5073, 526, 815, 19219, 3488, 291, 5073, 928, 815, 19219, 3488, 292, 5073, 333, 325, 815, 19219, 3488, 293, 17210, 3534, 269, 31371, 26092, 815, 1496, 333, 321, 19885, 322, 2639, 333, 321, 269, 31371, 26092, 815, 1496, 526, 267, 928, 2639, 333, 322, 269, 31371, 26092, 815, 1496, 333, 325, 6540, 8578, 338, 815, 667, 12396, 263, 3534, 994, 1721, 6843, 538, 536, 12028, 6745, 571, 951, 531, 10031, 825, 1820, 27316, 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 ]
[ 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 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 2418, 689, 5044, 1477, 825, 4159, 4877, 871, 3890, 825, 1948, 322, 11661, 513, 11097, 12033, 1477, 31728, 815, 28184, 5793, 269, 3719, 2023, 6262, 648, 267, 1257, 8782, 305, 3326, 519, 667, 823, 3299, 32215, 8782, 1042, 3299, 4971, 284, 2651, 318, 1492, 5091, 823, 264, 825, 1948, 322, 11661, 513, 7735, 585, 1599, 1477, 31728, 4877, 871, 3890, 825, 1948, 322, 11661, 513, 11097, 12033, 1477, 14537, 6230, 664, 31467, 3890, 825, 1948, 560, 599, 3330, 519, 8520, 1477, 0, 258, 5522, 16558, 454, 311, 815, 834, 311, 4840, 302, 815, 834, 302, 5016, 692, 3698, 8880, 13765, 29033, 2187, 825, 8173, 1038, 570, 1845, 547, 1265, 519, 6345, 945, 814, 2944, 606, 8880, 959, 529, 7183, 6382, 454, 825, 8173, 825, 585, 1775, 538, 2039, 12759, 29033, 15892, 1038, 1535, 815, 476, 271, 454, 1038, 522, 815, 476, 271, 454, 1038, 585, 795, 538, 2039, 12759, 29033, 5157, 8079, 2187, 2018, 1948, 295, 528, 714, 7267, 27261, 2638, 454, 2018, 952, 4604, 5157, 6012, 329, 316, 2652, 2473, 912, 3546, 1535, 6834, 476, 272, 454, 2018, 8640, 4604, 5157, 6012, 329, 316, 2652, 744, 912, 3546, 522, 6834, 476, 272, 454, 2018, 1948, 13425, 1101, 585, 513, 16771, 454, 1038, 952, 1535, 2525, 476, 274, 912, 2018, 2132, 2473, 454, 1038, 952, 522, 2652, 476, 274, 10778, 2018, 2132, 744, 454, 825, 2132, 7183, 692, 3698, 7299, 13425, 29033, 2187, 825, 8173, 1038, 570, 1845, 547, 1265, 519, 6345, 945, 814, 2944, 513, 7299, 959, 529, 7183, 6382, 454, 825, 8173, 825, 585, 1775, 538, 2039, 12759, 29033, 15892, 1038, 522, 815, 476, 271, 454, 1038, 1535, 815, 476, 271, 454, 1038, 585, 795, 538, 2039, 12759, 29033, 5157, 8079, 2187, 2018, 1948, 309, 1068, 673, 27261, 2638, 454, 2018, 952, 4604, 14728, 6012, 328, 316, 2652, 2473, 912, 3546, 1535, 6834, 476, 272, 454, 2018, 8640, 4604, 14728, 6012, 328, 316, 2652, 744, 912, 3546, 522, 6834, 476, 272, 454, 2018, 1948, 13425, 1101, 585, 513, 16771, 454, 2018, 952, 522, 2652, 476, 274, 912, 3546, 2132, 744, 454, 2018, 952, 1535, 2652, 476, 274, 912, 3546, 2132, 2473, 3097, 825, 2132, 7183, 692, 3698, 15497, 13425, 29033, 2187, 825, 8173, 1038, 570, 1845, 547, 1265, 519, 6345, 945, 814, 2944, 513, 15497, 959, 529, 7183, 6382, 454, 825, 8173, 825, 1535, 815, 476, 271, 454, 825, 522, 815, 476, 271, 454, 825, 585, 795, 538, 2039, 12759, 29033, 314, 271, 8079, 2187, 1038, 1948, 14611, 4144, 21192, 27261, 2638, 454, 1038, 952, 4604, 14728, 6012, 329, 316, 2652, 2473, 912, 2018, 1535, 6834, 476, 272, 454, 1038, 8640, 4604, 14728, 6012, 329, 316, 2652, 744, 912, 2018, 522, 6834, 476, 272, 454, 1038, 1948, 13425, 1101, 585, 513, 16771, 454, 1038, 952, 522, 2652, 476, 274, 912, 2018, 2132, 744, 454, 1038, 952, 1535, 2652, 476, 274, 912, 2018, 2132, 2473, 692, 825, 522, 815, 476, 271, 454, 825, 1535, 815, 476, 271, 454, 825, 585, 737, 538, 2039, 12759, 29033, 314, 271, 8079, 2187, 1038, 1948, 14611, 4144, 21192, 27261, 2638, 454, 1038, 952, 4604, 25208, 6012, 6352, 29033, 314, 271, 8079, 268, 272, 10275, 316, 2652, 2473, 912, 2018, 1535, 6834, 476, 272, 454, 1038, 8640, 4604, 25208, 6012, 6352, 29033, 314, 271, 8079, 268, 272, 10275, 316, 2652, 744, 912, 2018, 522, 6834, 476, 272, 454, 1038, 1948, 13425, 1101, 585, 513, 16771, 454, 1038, 952, 522, 2652, 476, 274, 912, 2018, 2132, 744, 454, 1038, 952, 1535, 2652, 476, 274, 912, 2018, 2132, 2473, 22322, 825, 2132, 7183, 454, 0, 3698, 1689, 318, 8314, 28399, 825, 5727, 6666, 1512, 1689, 25961, 267, 713, 30775, 6645, 596, 875, 1082, 1477, 1038, 1948, 10116, 267, 546, 1307, 267, 12183, 548, 543, 30779, 625, 547, 2285, 1394, 5727, 5897, 825, 2179, 815, 703, 9272, 3488, 11767, 2659, 7827, 2433, 1412, 17903, 825, 856, 815, 3403, 2891, 290, 7765, 568, 4934, 630, 18893, 1308, 264, 2433, 834, 264, 476, 1948, 952, 596, 616, 856, 540, 10116, 267, 546, 830, 610, 12183, 956, 1547, 1547, 1547, 1477, 825, 856, 815, 476, 271, 952, 856, 2652, 15234, 3116, 856, 476, 1948, 952, 856, 568, 10145, 267, 9949, 1871, 568, 476, 271, 1477, 825, 11113, 815, 2715, 1839, 281, 1412, 5226, 6621, 3299, 476, 1015, 281, 1412, 291, 830, 3299, 476, 276, 281, 1412, 301, 1157, 548, 3299, 476, 272, 281, 1412, 303, 3317, 773, 262, 348, 1477, 825, 856, 290, 7765, 815, 11113, 21014, 17301, 263, 719, 1070, 7183, 3418, 825, 12523, 815, 1496, 271, 316, 2608, 7003, 263, 23915, 3418, 825, 14230, 815, 2179, 5897, 825, 585, 4994, 267, 11777, 538, 26246, 263, 23915, 8029, 1038, 12523, 27709, 3910, 14230, 815, 2820, 7116, 263, 8145, 664, 1457, 267, 11777, 10142, 825, 609, 290, 815, 535, 262, 23719, 630, 346, 719, 290, 7765, 348, 338, 264, 262, 567, 1948, 952, 856, 540, 3213, 514, 568, 10145, 610, 1412, 271, 262, 1477, 825, 1820, 6600, 257, 346, 26920, 1315, 476, 1911, 348, 595, 757, 2580, 3898, 263, 5976, 290, 267, 1412, 10807, 952, 856, 290, 7765, 3116, 1412, 3299, 1412, 15884, 581, 2433, 1412, 10142, 825, 585, 1293, 267, 2012, 538, 23407, 6262, 870, 338, 267, 11113, 269, 11161, 3890, 8029, 1038, 952, 1293, 11203, 476, 271, 6769, 2018, 2012, 815, 2012, 952, 1293, 2652, 476, 272, 3116, 2012, 1341, 1412, 338, 262, 476, 1948, 1852, 630, 28410, 983, 267, 12683, 3418, 2018, 1820, 6600, 257, 476, 2715, 12248, 348, 476, 2715, 4067, 348, 14744, 5897, 604, 6449, 4067, 1029, 2652, 21507, 10852, 1029, 262, 6769, 825, 1247, 6936, 6769, 1038, 1820, 14052, 1038, 1689, 318, 8314, 3890, 0, 3698, 2875, 318, 17213, 263, 29324, 8029, 825, 5727, 901, 1599, 3217, 476, 18011, 323, 5315, 262, 610, 1412, 4289, 540, 630, 4067, 267, 3446, 264, 8913, 1255, 20298, 1038, 540, 1053, 1412, 4067, 262, 543, 1412, 333, 10179, 545, 262, 9344, 543, 16849, 519, 4408, 543, 1477, 1038, 1412, 12072, 262, 3446, 781, 607, 476, 630, 30700, 12173, 267, 4484, 318, 14079, 264, 952, 513, 2875, 1185, 513, 2582, 3446, 1477, 1038, 610, 630, 30700, 12173, 267, 1496, 12072, 14682, 10232, 8079, 952, 513, 2875, 1185, 2789, 9344, 1477, 3546, 667, 1112, 7024, 667, 1112, 825, 543, 567, 5903, 7024, 5903, 5897, 1363, 1383, 18380, 815, 27835, 27746, 9166, 476, 8660, 267, 1412, 15812, 9166, 1496, 5952, 267, 476, 10844, 3910, 1412, 11990, 9166, 476, 1911, 267, 1477, 1363, 1412, 307, 2088, 9166, 476, 4817, 267, 1412, 306, 4673, 9166, 630, 8660, 267, 476, 4817, 267, 476, 4200, 1070, 1412, 298, 11481, 9166, 476, 4817, 348, 1038, 835, 3446, 610, 811, 610, 3575, 5727, 5897, 825, 16034, 815, 2715, 9792, 263, 3445, 267, 476, 6200, 2567, 1412, 288, 3299, 2039, 263, 3199, 267, 476, 3445, 2567, 1412, 289, 3299, 2039, 263, 3583, 267, 476, 3199, 2567, 1412, 290, 3299, 1477, 17264, 2039, 263, 2568, 267, 476, 3583, 2567, 1412, 291, 3299, 2039, 263, 271, 267, 476, 2568, 2567, 1412, 293, 262, 348, 5897, 825, 952, 568, 27349, 263, 29324, 267, 9598, 8029, 1038, 4484, 14682, 10232, 815, 9598, 14052, 1038, 585, 2875, 267, 9344, 538, 1053, 29096, 263, 2567, 5897, 2018, 782, 14682, 10232, 815, 32582, 11434, 1948, 952, 519, 2875, 723, 811, 982, 835, 3446, 476, 1547, 476, 1547, 476, 1547, 1477, 2018, 952, 1826, 14116, 10232, 264, 2652, 1592, 610, 1826, 14116, 10232, 264, 2652, 24042, 6769, 3546, 585, 3446, 538, 9344, 6769, 7386, 952, 1826, 263, 14079, 264, 11203, 1193, 6769, 13376, 585, 7584, 538, 16034, 6769, 23351, 952, 3446, 538, 7584, 6769, 4449, 3546, 782, 318, 14079, 815, 16034, 10947, 16868, 1678, 3418, 4449, 3546, 782, 14682, 10232, 6910, 263, 718, 318, 14079, 3418, 7386, 3116, 6769, 13376, 782, 14682, 10232, 6910, 3488, 13911, 7232, 31014, 256, 1412, 3418, 3546, 4484, 14682, 10232, 314, 30700, 316, 815, 782, 14682, 10232, 1477, 2018, 3116, 281, 4449, 1948, 952, 519, 2875, 814, 1152, 513, 2582, 3446, 1547, 1547, 1547, 1477, 3546, 952, 1826, 14116, 10232, 264, 11203, 1193, 6769, 7386, 585, 7584, 538, 16034, 6769, 13376, 952, 9344, 538, 7584, 6769, 23351, 2164, 815, 16034, 10947, 16868, 1678, 3418, 23351, 4484, 14682, 10232, 314, 30700, 316, 815, 2164, 1477, 3546, 3116, 6769, 7386, 4484, 14682, 10232, 314, 30700, 316, 815, 1412, 13911, 7232, 31014, 256, 1412, 1477, 1038, 2132, 4484, 14682, 10232, 5897, 825, 8640, 568, 27349, 263, 29324, 267, 1592, 2567, 17264, 1948, 6744, 952, 621, 568, 513, 1592, 1477, 1038, 952, 782, 263, 529, 27349, 263, 14403, 267, 24042, 264, 585, 6221, 538, 1053, 2567, 476, 1948, 547, 2638, 621, 568, 513, 1592, 540, 8913, 1255, 1477, 2018, 2119, 6769, 3546, 4484, 318, 14079, 299, 815, 1496, 15947, 3546, 585, 2875, 267, 9344, 538, 1053, 6769, 7386, 952, 1826, 14116, 10232, 264, 11203, 1193, 6769, 13376, 585, 7584, 538, 16034, 6769, 23351, 952, 9344, 538, 7584, 6769, 4449, 3546, 2164, 815, 16034, 10947, 16868, 1678, 3418, 4449, 3546, 4484, 318, 14079, 299, 6910, 9230, 30700, 267, 2164, 17903, 7386, 3116, 6769, 13376, 4484, 318, 14079, 299, 6910, 9230, 30700, 267, 1412, 13911, 7232, 31014, 256, 1412, 17903, 3546, 2132, 4484, 318, 14079, 299, 5897, 2018, 4849, 28759, 607, 552, 6769, 3546, 1820, 2891, 4289, 540, 1412, 18314, 6292, 8913, 1255, 262, 1152, 834, 3418, 1038, 3116, 6769, 2018, 1820, 2891, 2353, 3688, 538, 519, 1592, 991, 547, 581, 476, 1412, 14654, 1255, 262, 14744, 825, 3116, 6769, 1038, 1820, 2891, 1607, 30775, 1152, 1491, 513, 1412, 291, 1112, 262, 610, 476, 513, 1412, 8266, 540, 24042, 262, 476, 834, 3418, 5897, 258, 1449, 1477, 5035, 272, 815, 27835, 27746, 9166, 476, 8660, 267, 1412, 15812, 9166, 1496, 5952, 267, 476, 10844, 3910, 1412, 11990, 9166, 476, 1911, 267, 1412, 307, 2088, 9166, 476, 4817, 267, 1412, 306, 4673, 9166, 630, 8660, 267, 476, 4817, 267, 476, 4200, 1070, 1412, 298, 11481, 9166, 476, 4817, 348, 1477, 7825, 815, 1496, 3488, 332, 558, 3299, 476, 4649, 1070, 18011, 323, 611, 3299, 476, 3583, 1070, 18011, 5674, 334, 3299, 476, 8660, 1070, 18011, 525, 330, 3299, 476, 11463, 1070, 18011, 4692, 3299, 476, 7176, 13580, 24653, 604, 6449, 4067, 1029, 2652, 21507, 10852, 1029, 262, 6769, 825, 1948, 1250, 4289, 815, 2875, 318, 17213, 263, 7825, 3418, 825, 1948, 585, 1883, 538, 1250, 4289, 6769, 825, 1948, 672, 1820, 31107, 3418, 825, 1820, 14052, 825, 1250, 18743, 815, 2875, 318, 17213, 263, 5035, 272, 3418, 825, 585, 1883, 538, 1250, 18743, 29096, 28399, 1038, 1820, 31107, 264, 0, 5814, 21267, 28272, 607, 12301, 454, 5228, 21267, 269, 534, 11582, 1104, 8342, 322, 2304, 11582, 454, 5814, 11885, 607, 5286, 692, 14808, 267, 4949, 815, 12301, 16553, 30831, 4590, 1314, 31892, 2660, 8443, 271, 25662, 271, 3910, 2681, 815, 1412, 321, 17210, 3698, 14318, 14067, 571, 697, 9217, 2187, 8931, 825, 12301, 17085, 320, 4590, 825, 12301, 11859, 3916, 263, 271, 267, 1015, 994, 825, 12301, 269, 2643, 574, 263, 271, 267, 1015, 994, 825, 4949, 31892, 2660, 8443, 328, 25662, 328, 316, 9239, 534, 11582, 272, 815, 8342, 322, 2304, 11582, 6600, 580, 267, 30775, 815, 14318, 14067, 571, 697, 267, 14604, 815, 5286, 30784, 1052, 263, 271, 267, 1911, 271, 267, 271, 269, 272, 1070, 8884, 815, 476, 272, 267, 1025, 527, 25716, 2020, 10823, 20481, 3890, 0, 454, 5814, 19523, 692, 5035, 631, 10270, 912, 825, 454, 825, 1219, 6449, 8181, 9191, 1345, 21726, 11971, 31599, 10270, 267, 9359, 343, 267, 9359, 344, 267, 19226, 880, 343, 267, 19226, 880, 344, 267, 8234, 267, 529, 8234, 2187, 1038, 1582, 4732, 1828, 815, 1496, 1496, 476, 271, 585, 795, 538, 2039, 12169, 264, 9948, 585, 1775, 538, 2039, 3287, 264, 9948, 3097, 1038, 1582, 6230, 10270, 284, 332, 10270, 454, 1038, 1582, 11859, 24210, 454, 1038, 1582, 13885, 284, 344, 454, 1038, 1582, 269, 9359, 343, 284, 9359, 343, 454, 1038, 1582, 269, 9359, 344, 284, 9359, 344, 454, 1038, 1582, 12171, 514, 880, 343, 284, 19226, 880, 343, 454, 1038, 1582, 12171, 514, 880, 344, 284, 19226, 880, 344, 454, 1038, 1582, 269, 8234, 284, 8234, 454, 1038, 1582, 269, 9690, 8234, 284, 8234, 454, 1038, 1582, 18994, 8234, 284, 529, 8234, 7531, 3698, 1820, 22069, 9852, 10270, 267, 14310, 12803, 17107, 454, 825, 585, 1775, 538, 2039, 12759, 9852, 10270, 15892, 1038, 585, 795, 538, 2039, 12759, 9852, 10270, 5157, 8079, 2187, 2018, 952, 795, 266, 272, 2525, 6352, 9852, 10270 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 3059, 17048, 540, 1582, 13282, 27032, 2439, 3080, 1554, 267, 1247, 23362, 32261, 1250, 6640, 6995, 267, 594, 8068, 606, 8966, 1641, 1899, 1851, 519, 18061, 540, 15737, 281, 834, 20228, 1054, 5295, 28914, 281, 1133, 548, 1662, 2659, 28740, 6215, 1054, 1701, 3767, 267, 1577, 803, 12172, 910, 594, 993, 18930, 539, 609, 1793, 16251, 269, 4256, 32620, 8188, 543, 9788, 25746, 6197, 616, 22023, 626, 1043, 267, 865, 6923, 267, 1250, 7279, 3893, 519, 1655, 540, 803, 269, 594, 4945, 539, 1930, 519, 4757, 543, 4362, 602, 513, 28031, 5652, 1007, 2892, 517, 729, 5356, 513, 2027, 13319, 1107, 513, 2407, 5662, 540, 6986, 11005, 6273, 676, 9039, 824, 982, 938, 11537, 3500, 2173, 8221, 2828, 269, 1280, 3368, 606, 5662, 267, 5561, 1223, 13793, 26700, 1524, 689, 16887, 2966, 16536, 554, 2459, 4169, 1247, 1373, 9900, 2527, 3042, 267, 4553, 676, 1776, 13977, 3764, 540, 29915, 908, 11132, 5574, 269, 2353, 540, 713, 693, 513, 31417, 476, 4037, 260, 1055, 256, 901, 729, 9090, 4502, 14236, 2417, 780, 24137, 4464, 1079, 4374, 2663, 267, 1310, 20310, 1250, 1655, 3659, 8861, 630, 10193, 513, 8284, 1793, 1054, 27423, 264, 547, 6443, 803, 267, 649, 9411, 519, 627, 15501, 673, 1158, 540, 834, 306, 5979, 5336, 334, 1975, 320, 1299, 25925, 2668, 16270, 12625, 267, 649, 941, 30870, 676, 18932, 3039, 2044, 267, 22196, 1216, 2934, 267, 543, 23406, 7718, 24188, 540, 513, 9341, 22986, 269, 1306, 25009, 267, 649, 1810, 2740, 938, 1071, 345, 5006, 4418, 1846, 7057, 267, 4712, 547, 9784, 938, 6418, 1793, 16251, 780, 5629, 2269, 5529, 883, 938, 6899, 16536, 554, 2459, 4169, 267, 519, 11792, 572, 4926, 3459, 741, 9059, 269, 1358, 4274, 569, 26203, 25418, 594, 4769, 1405, 1256, 8275, 11478, 1247, 4509, 3501, 3666, 1164, 1657, 2666, 269, 12246, 335, 2105, 4571, 25101, 267, 4743, 519, 8082, 15835, 2476, 689, 1250, 6091, 267, 594, 7948, 1405, 948, 855, 669, 22976, 693, 875, 21494, 2943, 17175, 713, 3003, 1995, 729, 269, 3807, 1287, 267, 8861, 4503, 1200, 17945, 593, 1200, 554, 2459, 1442, 543, 2220, 2426, 796, 19055, 2406, 267, 13941, 3068, 23867, 5196, 513, 21825, 5116, 16154, 1319, 2630, 269, 5502, 540, 3443, 10107, 267, 1352, 16802, 856, 28617, 267, 2870, 513, 2531, 3626, 1198, 607, 3025, 3116, 8678, 538, 1932, 269, 1284, 6170, 519, 1985, 4557, 3764, 17254, 326, 1782, 543, 4687, 2984, 827, 938, 5172, 3662, 7044, 267, 8108, 7554, 6793, 982, 1022, 10036, 9633, 2479, 1223, 780, 5475, 23232, 689, 938, 3514, 540, 17409, 267, 649, 6410, 593, 547, 519, 2034, 851, 540, 938, 590, 5979, 5336, 334, 7045, 281, 519, 11132, 5574, 269, 5606, 4310, 609, 2067, 5820, 21433, 2047, 689, 6239, 1977, 31140, 267, 891, 2472, 16219, 547, 20741, 938, 2960, 1394, 547, 1072, 269, 2755, 14084, 2427, 8386, 20933, 267, 8391, 938, 26016, 1944, 1795, 10118, 267, 8861, 26866, 1229, 267, 834, 2791, 917, 1018, 286, 3776, 2729, 949, 581, 646, 8157, 267, 855, 8090, 899, 713, 7618, 721, 602, 2921, 1416, 540, 6000, 568, 1175, 607, 1271, 607, 3388, 3116, 649, 5104, 24327, 3232, 1701, 4173, 1913, 6949, 730, 7184, 1369, 803, 267, 3246, 513, 4090, 540, 9355, 9624, 519, 694, 1066, 640, 780, 5978, 2189, 838, 320, 1554, 11943, 609, 513, 1895, 8666, 10023, 1989, 15619, 29123, 16304, 26700, 1524, 267, 546, 1905, 539, 538, 16536, 554, 2459, 4169, 269, 20331, 609, 2571, 267, 32689, 2960, 543, 8823, 540, 606, 6909, 16345, 8400, 267, 8861, 543, 594, 2451, 519, 2892, 517, 4743, 18589, 1117, 543, 23518, 269, 4595, 1287, 267, 649, 1118, 2386, 547, 1286, 557, 856, 942, 1142, 3923, 6131, 9003, 547, 1582, 13282, 267, 2436, 621, 781, 18656, 3101, 538, 811, 6578, 7888, 18789, 11132, 13968, 610, 3274, 11981, 513, 9602, 7484, 540, 7401, 1927, 780, 1103, 24794, 1051, 267, 1250, 3355, 3406, 585, 10097, 2960, 3249, 3435, 3366, 803, 547, 835, 540, 519, 1034, 12300, 2833, 594, 4312, 3838, 609, 513, 15210, 3659, 269, 6884, 267, 8508, 519, 23349, 2619, 6770, 8521, 6397, 3675, 903, 267, 2208, 3255, 267, 543, 19644, 4296, 269, 1924, 979, 6619, 267, 2263, 1346, 20868, 1606, 15929, 6828, 517, 9388, 610, 21372, 2199, 1870, 3260, 687, 282, 596, 2760, 917, 1141, 789, 1522, 1491, 596, 256, 0, 2237, 513, 1483, 3734, 1650, 3838, 676, 2576, 538, 513, 14703, 8468, 269, 634, 1650, 1058, 581, 11214, 1644, 547, 713, 1257, 6256, 281, 3097, 2108, 6701, 972, 1022, 28774, 610, 3260, 687, 4867, 2139, 585, 11132, 5574, 888, 2026, 606, 3642, 1893, 2203, 267, 594, 798, 711, 723, 1569, 547, 1699, 30572, 1344, 607, 621, 2242, 4749, 269, 1717, 267, 596, 666, 2638, 609, 2199, 838, 553, 610, 5898, 19190, 538, 707, 1858, 610, 3643, 741, 7270, 547, 1294, 952, 789, 723, 1022, 1699, 3260, 687, 610, 1129, 909, 585, 741, 4757, 3377, 24393, 547, 1205, 711, 1881, 540, 1022, 14232, 9388, 610, 28774, 269, 3958, 267, 930, 7270, 899, 6828, 517, 2709, 28774, 593, 11132, 5574, 689, 2199, 7426, 14325, 763, 1650, 1058, 1331, 281, 3097, 268, 18990, 4690, 610, 9644, 281, 4685, 883, 1808, 12348, 267, 4690, 267, 610, 14973, 3871, 3097, 268, 1323, 6397, 4729, 6335, 610, 2502, 4655, 281, 6338, 513, 11541, 2943, 4101, 3510, 610, 14196, 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, 0, 2878, 16215, 281, 16503, 5928, 543, 29093, 4373, 1103, 713, 1770, 267, 649, 3513, 2263, 875, 12383, 543, 12449, 666, 3142, 2984, 547, 1272, 256, 5620, 596, 2479, 1224, 513, 1433, 609, 1100, 5961, 543, 1336, 621, 2182, 547, 4952, 1018, 729, 8345, 286, 2107, 6148, 596, 4312, 2938, 513, 8642, 3209, 543, 6068, 782, 519, 12400, 602, 4682, 2059, 609, 519, 1913, 269, 23657, 1259, 267, 12383, 543, 12449, 616, 1898, 2694, 540, 1082, 2010, 540, 2835, 267, 1519, 9089, 267, 15923, 2835, 267, 543, 1256, 9499, 899, 713, 835, 269, 1358, 948, 721, 1174, 519, 1650, 1732, 543, 1205, 811, 7722, 609, 1018, 649, 2811, 2542, 780, 1262, 1432, 3657, 16503, 5928, 543, 29093, 15140, 2304, 14745, 568, 513, 4605, 610, 5373, 602, 2337, 2491, 1945, 538, 513, 1433, 269, 898, 1223, 581, 513, 2241, 17250, 610, 513, 2407, 12258, 528, 7206, 269, 1323, 2278, 1522, 946, 12383, 547, 1397, 1018, 3197, 1413, 899, 267, 2285, 811, 3877, 827, 519, 4259, 267, 610, 6813, 1271, 2621, 538, 519, 1650, 780, 288, 8642, 267, 593, 519, 824, 1688, 267, 3096, 2592, 543, 1257, 1927, 547, 6655, 1344, 269, 901, 1223, 581, 513, 5750, 267, 6516, 267, 4786, 267, 610, 1022, 824, 3308, 6041, 602, 2306, 1950, 1239, 4443, 547, 1174, 269, 1280, 1383, 267, 952, 606, 2278, 941, 1603, 827, 1114, 2010, 540, 2831, 267, 789, 1522, 1711, 513, 3113, 6029, 799, 3283, 616, 23097, 2803, 267, 24549, 2803, 267, 610, 9631, 16622, 2803, 780, 1262, 3963, 3657, 16503, 5928, 543, 29093, 12830, 15140, 5970, 596, 2479, 4862, 519, 6031, 267, 834, 288, 4605, 568, 4502, 513, 8536, 1913, 22172, 2334, 781, 1317, 3006, 621, 781, 4443, 547, 1174, 1945, 950, 596, 1294, 621, 2864, 982, 1175, 6217, 610, 2542, 827, 621, 269, 16503, 5928, 543, 12449, 948, 2736, 909, 1804, 7161, 540, 1257, 543, 1683, 3308, 1719, 267, 1818, 873, 2523, 5363, 585, 26997, 3988, 610, 1004, 945, 6560, 609, 2757, 2854, 12043, 780, 12234, 267, 12383, 543, 12449, 666, 1039, 3178, 543, 2796, 547, 513, 1650, 269, 5994, 2542, 513, 3140, 5708, 3209, 1305, 1282, 2622, 2782, 4083, 269, 9453, 7851, 610, 28868, 267, 621, 1131, 581, 4101, 547, 1832, 3950, 540, 1141, 12959, 3576, 1747, 543, 950, 1713, 2621, 5949, 269, 1635, 6220, 891, 3308, 2609, 267, 4589, 1450, 3988, 547, 4628, 23365, 2933, 538, 519, 1650, 1247, 849, 1565, 827, 1686, 780, 1262, 1692, 2052, 1411, 8073, 2659, 13574, 16503, 5928, 543, 29093, 15140, 3086, 602, 596, 917, 1946, 12383, 543, 12449, 616, 865, 1271, 1577, 781, 2911, 827, 2870, 707, 1378, 256, 1703, 616, 7899, 540, 2645, 2139, 2228, 543, 22356, 547, 948, 596, 1711, 4190, 23877, 269, 2368, 2442, 3681, 1331, 1384, 265, 2878, 4692, 9366, 5093, 589, 1863, 1374, 3760, 5356, 17074, 267, 23935, 267, 2592, 267, 543, 8749, 7146, 1673, 1886, 2934, 3501, 585, 14987, 563, 265, 2878, 3849, 12786, 11300, 13192, 5093, 589, 24194, 540, 3318, 3156, 1031, 676, 9858, 5001, 267, 1519, 26598, 267, 16503, 15249, 267, 543, 769, 17637, 269, 1452, 3292, 2709, 4359, 2934, 855, 2154, 930, 2259, 547, 4487, 563, 265, 2878, 26261, 543, 6755, 4290, 5093, 6153, 2025, 1922, 5831, 539, 4050, 543, 1957, 2760, 979, 856, 540, 2511, 256, 14301, 676, 1688, 2636, 596, 547, 2769, 3054, 21176, 543, 1020, 5386, 5179, 1983, 8195, 780, 2691, 8888, 707, 12383, 543, 12449, 267, 2015, 519, 1739, 4388, 1384, 272, 269, 5901, 621, 2241, 281, 5213, 1405, 936, 1260, 12393, 707, 6272, 269, 10312, 593, 23187, 835, 1292, 2856, 829, 3239, 563, 273, 269, 2422, 4334, 281, 5269, 2386, 707, 1034, 2565, 2609, 1796, 856, 676, 1210, 17804, 4778, 267, 7306, 267, 610, 5546, 563, 274, 269, 6056, 827, 707, 5304, 281, 5808, 786, 581, 13156, 707, 960, 286, 1548, 798, 789, 991, 547, 1491, 2476, 689, 621, 286, 5071, 9935, 563, 275, 269, 6657, 267, 2259, 267, 2259, 281, 6145, 4376, 3116, 267, 4742, 21295, 693, 2870, 12383, 543, 12449, 3217, 942, 543, 4674, 269, 5901, 8026, 267, 543, 1810, 1405, 581, 12922, 547, 4603, 609, 1007, 2553, 780, 1262, 12244, 281, 12861, 2659, 13574, 9452, 4580, 4373, 2414, 16833, 909, 938, 3408, 540, 12383, 543, 12449, 267, 2119, 2870, 513, 1650, 4580, 585, 513, 2110, 6429, 689, 513, 5172, 1433, 610, 7260, 269, 589, 1650, 4580, 568, 9247, 513, 13371, 14816, 4528, 540, 513, 1650, 267, 2347, 609, 8440, 267, 5188, 267, 543, 12383, 269, 7427, 891, 3268, 547, 1711, 16523, 1384, 272, 269, 7994, 513, 6429, 281, 8564, 513, 5618, 5311, 689, 513, 1433, 610, 7260, 602, 814, 2312, 2962, 543, 1915, 4205, 563, 273, 269, 19147, 519, 6429, 883, 8440, 281, 32341, 875, 1082, 14604, 596, 1616, 547, 1331, 538, 707, 1650, 4580, 269, 3962, 8470, 4564, 513, 4090, 538, 942, 1369, 519, 6074, 6429, 563, 274, 269, 28220, 1142, 7406, 281, 4635, 22796, 267, 12508, 267, 610, 3059, 2645, 267, 2721, 1142, 8470, 2687, 547, 922, 7222, 2680, 538, 519, 6429, 269, 5457, 547, 1445, 593, 1883, 3527, 543, 7215, 563, 275, 269, 5410, 5188, 543, 3061, 687, 281, 3503, 1524, 1018, 3197, 2161, 543, 1589, 267, 607, 1134, 607, 1022, 2556, 11673, 610, 4967, 827, 519, 4259, 563, 276, 269, 9523, 707, 5137, 281, 8058, 707, 1650, 4580, 547, 2828, 267, 1920, 2818, 267, 610, 15032, 543, 2307, 585, 5955, 269, 1215, 1134, 1281, 621, 7001, 519, 9759, 540, 519, 3312, 6429, 2496, 3528, 11264, 713, 2534, 267, 596, 3513, 2744, 3946, 6823, 1995, 1620, 875, 12383, 543, 12449, 3565, 547, 9423, 269, 8414, 8888, 256, 0, 2080, 568, 606, 1349, 689, 513, 2546, 912, 257, 27775, 2105, 6520, 267, 6103, 267, 543, 7335, 20946, 454, 268, 6520, 281, 476, 1321, 547, 476, 1240, 454, 268, 6103, 281, 476, 278, 547, 476, 1321, 454, 9802, 267, 513, 1762, 18295, 8004, 267, 21986, 525, 519, 2749, 10754, 267, 4466, 8952, 1389, 538, 1114, 4025, 2059, 1200, 3460, 269, 1879, 2904, 543, 1200, 737, 809, 636, 1118, 891, 8952, 1389, 883, 513, 8405, 331, 864, 267, 621, 10741, 513, 1158, 540, 8594, 543, 14810, 269, 2755, 2904, 24515, 1996, 513, 15265, 4641, 267, 1352, 16137, 602, 972, 568, 4222, 538, 519, 6891, 540, 1346, 602, 723, 5293, 269, 1809, 786, 602, 4222, 581, 2111, 547, 4688, 1200, 286, 589, 1650, 540, 13357, 543, 5898, 267, 4024, 594, 6423, 32514, 919, 519, 3390, 540, 7508, 543, 23689, 7087, 2021, 563, 10666, 519, 4589, 454, 6395, 4668, 589, 269, 681, 15477, 2207, 4811, 2177, 568, 519, 16771, 540, 519, 19468, 29029, 631, 8531, 1512, 16971, 27752, 540, 519, 5729, 13815, 267, 519, 3627, 670, 15077, 577, 13815, 585, 4107, 8871, 2358, 31671, 20899, 27752, 543, 519, 29375, 10813, 15213, 547, 3367, 13815, 269, 3571, 2835, 1331, 634, 4446, 1066, 16140, 338, 281, 634, 631, 1047, 11445, 590, 15676, 282, 1879, 1284, 21518, 1325, 821, 630, 7773, 1676, 540, 519, 17135, 4937 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 8698, 3371, 2433, 9502, 2986, 654, 571, 5529, 454, 309, 8538, 269, 1358, 941, 11112, 28277, 6799, 3735, 593, 8285, 18832, 269, 25906, 19490, 941, 20386, 1472, 519, 25249, 262, 7916, 269, 2701, 20386, 513, 10077, 325, 1472, 1200, 8405, 269, 1261, 20386, 11746, 1472, 519, 10627, 781, 6023, 269, 594, 20386, 1250, 7916, 1472, 1200, 269, 2701, 20386, 1200, 7953, 1472, 513, 10788, 578, 269, 1261, 20386, 1010, 3946, 1472, 519, 512, 15577, 269, 634, 1899, 540, 1004, 4682, 856, 519, 7450, 543, 20386, 1472, 519, 7944, 563, 13146, 6201, 593, 519, 5680, 269, 631, 14709, 23580, 342, 12245, 3362, 1223, 581, 538, 713, 6429, 4189, 521, 25775, 269, 2443, 18332, 28266, 267, 3794, 600, 712, 267, 834, 305, 1853, 23014, 17897, 476, 274, 9210, 28964, 476, 275, 1234, 5115, 281, 2353, 519, 16505, 9724, 11833, 22108, 2437, 476, 278, 8734, 269, 476, 1001, 279, 7909, 670, 10212, 518, 779, 13259, 574, 328, 267, 4421, 538, 1079, 7306, 267, 666, 581, 1031, 2901, 22872, 538, 521, 25775, 20061, 610, 607, 2048, 325, 4068, 1206, 685, 585, 562, 580, 21105, 269, 2443, 14732, 21322, 932, 6033, 267, 654, 306, 297, 267, 834, 293, 880, 281, 634, 15937, 13571, 1512, 538, 674, 820, 29133, 2437, 476, 1428, 4239, 4429, 763, 2757, 669, 636, 5161, 540, 556, 785, 17621, 554, 1938, 694, 1233, 1927, 543, 20386, 1472, 11308, 18635, 602, 616, 6896, 538, 513, 5858, 269, 769, 519, 1647, 972, 568, 513, 3595, 2897, 1031, 585, 8022, 543, 547, 1832, 519, 19498, 2476, 563, 310, 1905, 4214, 267, 547, 11700, 846, 538, 1945, 10138, 610, 25649, 827, 630, 21865, 4553, 676, 909, 2567, 2701, 20386, 1200, 2212, 538, 513, 10077, 325, 269, 6423, 811, 563, 763, 11051, 941, 25356, 267, 855, 519, 18638, 21567, 4769, 1405, 1416, 543, 29739, 593, 513, 11826, 5180, 540, 2911, 1397, 23079, 547, 3895, 519, 1007, 4670, 563, 763, 29722, 308, 3370, 519, 3312, 4214, 11556, 593, 4864, 476, 1626, 267, 476, 1220, 277, 269, 4706, 1106, 4553, 29101, 519, 2034, 540, 1614, 3681, 6069, 676, 519, 3312, 12233, 269, 898, 7150, 602, 281, 589, 4541, 568, 513, 18477, 1560, 602, 630, 320, 264, 814, 6190, 2527, 585, 922, 1582, 3766, 571, 6143, 547, 7753, 14461, 1560, 4229, 865, 602, 621, 17648, 513, 8652, 18878, 11466, 630, 333, 22022, 5180, 264, 3337, 267, 543, 630, 321, 264, 568, 538, 10739, 1472, 513, 5182, 267, 543, 568, 4429, 342, 1905, 909, 910, 22564, 547, 5053, 267, 12332, 267, 543, 8468, 5717, 454, 2304, 24701, 2480, 1335, 320, 568, 513, 1893, 585, 11589, 10148, 827, 24701, 6054, 269, 1548, 568, 606, 24701, 2480, 1335, 320, 286, 1323, 24701, 2480, 1335, 320, 568, 513, 1893, 585, 11589, 10148, 827, 24701, 6054, 269, 0, 763, 7259, 531, 4943, 725, 540, 10127, 565, 590, 5414, 2006, 22603, 779, 2575, 723, 1044, 519, 1641, 540, 3875, 538, 3829, 2090, 267, 11744, 602, 519, 21917, 1147, 16781, 1229, 547, 519, 7506, 540, 519, 7574, 1790, 334, 564, 673, 2245, 540, 519, 5101, 267, 29596, 2679, 593, 922, 13210, 1010, 1378, 5888, 531, 18986, 558, 267, 799, 814, 1044, 5219, 547, 607, 7259, 531, 27780, 1833, 2065, 269, 634, 2707, 540, 590, 5414, 2006, 22603, 779, 7259, 531, 1719, 568, 9277, 547, 723, 1044, 1010, 2038, 3346, 609, 8109, 2575, 538, 12907, 267, 799, 949, 723, 8329, 547, 829, 24632, 6679, 543, 5289, 8417, 547, 16678, 3280, 269, 634, 7525, 20949, 799, 1305, 519, 21917, 593, 519, 2619, 547, 513, 1007, 3942, 538, 1010, 3860, 1646, 568, 9277, 547, 723, 1044, 3177, 676, 519, 2629, 3460, 547, 31512, 807, 543, 27988, 807, 267, 1282, 799, 519, 21917, 3357, 883, 1463, 3346, 609, 519, 2575, 540, 519, 5101, 269, 18623, 849, 3746, 1047, 519, 4644, 540, 519, 7375, 543, 519, 7499, 1391, 799, 27537, 7073, 1143, 267, 513, 1974, 540, 18512, 1719, 538, 16678, 4529, 269, 898, 568, 10924, 602, 519, 1184, 540, 5935, 590, 5414, 2006, 22603, 779, 1367, 2511, 267, 15748, 896, 8109, 7506, 267, 3576, 1747, 1282, 519, 1296, 476, 4489, 275, 268, 4489, 279, 267, 4352, 519, 1101, 15244, 540, 1010, 1007, 1719, 1291, 721, 547, 2098, 2544, 1731, 3873, 689, 1566, 269, 476, 1724, 630, 5002, 276, 268, 5002, 278, 264, 543, 519, 5152, 3245, 519, 13465, 31508, 540, 24381, 11939, 807, 689, 1566, 269, 476, 736, 630, 5002, 280, 1040, 769, 476, 4489, 272, 646, 5206, 519, 11146, 14576, 338, 540, 670, 2378, 714, 630, 641, 269, 476, 2190, 1070, 15747, 2213, 538, 476, 4489, 275, 630, 641, 269, 476, 2918, 1070, 543, 513, 1032, 2663, 267, 849, 3769, 1851, 519, 968, 292, 6141, 892, 1568, 1107, 14576, 338, 540, 519, 674, 8543, 2389, 1446, 25905, 1566, 269, 476, 4029, 269, 634, 8109, 968, 12860, 892, 849, 2882, 6641, 21620, 3143, 269, 476, 274, 968, 306, 784, 540, 519, 13957, 892, 1566, 269, 476, 2767, 689, 476, 4489, 277, 267, 607, 1134, 607, 519, 9050, 14576, 338, 1566, 269, 476, 6078, 7768, 538, 476, 4489, 279, 543, 14576, 338, 540, 519, 5606, 520, 18050, 631, 826, 3960, 514, 1566, 269, 476, 5655, 269, 3751, 23011, 1566, 269, 476, 5379, 630, 4489, 279, 268, 4572, 275, 264, 32195, 519, 1592, 540, 1568, 609, 16678, 2916, 267, 799, 267, 538, 519, 2489, 6644, 540, 3173, 267, 2968, 519, 1034, 1271, 3815, 538, 519, 7004, 540, 590, 5414, 2006, 22603, 779, 2511, 269, 1717, 267, 513, 6297, 2542, 540, 519, 1568, 13991, 547, 519, 21917, 779, 968, 292, 6141, 892, 3977, 267, 1010, 3370, 12591, 543, 31607, 4967, 267, 1519, 519, 12428, 795, 2714, 902, 4371, 693, 519, 32160, 2160, 7732, 267, 2306, 835, 2992, 2417, 593, 519, 1483, 4276, 1063, 519, 2278, 540, 4498, 19063, 773, 543, 519, 18112, 550, 269, 0, 25105, 267, 594, 1294, 269, 589, 22801, 3992, 1383, 602, 666, 6777, 4252, 269, 23959, 616, 1360, 8465, 267, 7064, 547, 519, 2470, 540, 14103, 267, 1498, 607, 649, 666, 1294, 1657, 972, 568, 513, 1655, 2259, 1935, 602, 3217, 883, 2272, 7453, 5033, 24939, 563, 1103, 519, 1383, 540, 519, 3992, 6241, 26333, 616, 1373, 5701, 607, 20927, 540, 519, 3349, 269, 2334, 2164, 538, 606, 16937, 540, 5033, 24939, 269, 5990, 4696, 568, 711, 513, 6241, 20927, 267, 855, 693, 570, 21764, 20927, 563, 8025, 568, 28110, 547, 1312, 6241, 26333, 543, 4737, 26333, 267, 799, 5107, 616, 10294, 538, 519, 9165, 14487, 269, 3353, 1227, 6340, 267, 519, 5990, 4696, 1281, 711, 2154, 513, 8946, 267, 1175, 513, 570, 291, 269, 1703, 568, 1100, 991, 547, 5581, 9165, 2094, 922, 9165, 568, 519, 3003, 3349, 563, 283, 13700, 12481, 11575, 897, 31078, 6889, 274, 22969, 25582, 754, 21480, 9572, 11575, 20565, 13700, 11417, 18744, 3364, 609, 713, 949, 581, 519, 3773, 3009, 2597, 540, 22898, 547, 2511, 519, 3693, 269, 8946, 814, 9949, 6163, 602, 3514, 538, 9985, 1934, 269, 2334, 779, 1018, 568, 1634, 607, 513, 2511, 31376, 269, 9650, 267, 519, 1152, 15110, 3959, 602, 568, 1281, 711, 2907, 723, 568, 13944, 27954, 269, 634, 9949, 2511, 2965, 5654, 1732, 267, 708, 14833, 563, 9288, 656, 547, 2446, 713, 4505, 267, 5469, 602, 538, 519, 1283, 1560, 4737, 519, 1101, 3693, 568, 513, 570, 291, 267, 711, 513, 8946, 269, 9861, 8900, 621, 814, 1100, 1909, 855, 2230, 23649, 13034, 1737, 902, 616, 711, 1239, 267, 829, 694, 267, 855, 14322, 789, 616, 267, 1287, 513, 16144, 585, 602, 6241, 1131, 581, 3617, 269, 0, 291, 4314, 7849, 7025, 5800, 531, 454, 763, 20636, 7849, 5113, 5800, 531, 568, 519, 13675, 547, 513, 3126, 540, 1455, 1857, 5498, 2758, 1239, 827, 2470, 543, 519, 2825, 1858, 269, 3371, 267, 2043, 543, 1604, 4648, 666, 1265, 8242, 1344, 827, 20636, 2470, 543, 519, 1604, 563, 13349, 1857, 5498, 2758, 11450, 454, 763, 20636, 7849, 5113, 5800, 531, 568, 513, 1455, 1857, 5498, 2758, 11450, 1063, 519, 12080, 540, 519, 5113, 267, 10871, 6554, 16862, 543, 20636, 3204, 687, 269, 634, 6662, 540, 519, 11450, 568, 547, 1489, 519, 960, 540, 519, 2825, 8128, 267, 2327, 513, 7833, 543, 909, 3562, 15082, 1239, 4493, 538, 519, 2825, 1858, 267, 5000, 3059, 5773, 538, 519, 2825, 1858, 267, 607, 1134, 607, 7794, 2792, 547, 519, 1857, 563, 291, 4314, 9351, 6176, 3590, 630, 288, 3041, 994, 763, 20636, 9351, 6176, 3590, 568, 851, 540, 519, 20636, 7849, 5113, 5800, 531, 269, 634, 22045, 568, 513, 1455, 1857, 5498, 2758, 6538, 602, 25173, 1239, 689, 519, 3105, 17521, 543, 3084, 1239, 5036, 267, 1519, 3148, 1544, 1239, 689, 519, 5449, 17521, 543, 519, 20523, 10515, 32683, 16958, 630, 295, 7838, 1916, 5522, 753, 2448, 291, 298, 568, 20291, 609, 519, 20636, 7849, 5113, 5800, 531, 543, 3568, 4566, 5083, 340, 656, 547, 519, 12020, 2920, 269, 0, 300, 22389, 1565, 543, 5841, 4987, 616, 10876, 256, 1924, 1946, 1832, 938, 2212, 12617, 538, 519, 5070, 950, 621, 2501, 547, 3684, 1565, 543, 5841, 4987, 286, 898, 568, 942, 585, 596, 547, 1376, 1565, 1018, 3684, 1565, 543, 5841, 4987, 616, 782, 827, 267, 543, 596, 666, 798, 602, 609, 713, 24384, 984, 809, 2336, 1103, 713, 24384, 984, 809, 596, 616, 2469, 547, 1451, 827, 912, 268, 22532, 5121, 454, 268, 5124, 543, 3684, 1565, 454, 268, 6201, 540, 3684, 1565, 454, 268, 1215, 3684, 1565, 568, 6225, 547, 596, 454, 268, 6258, 827, 5042, 28589, 26962, 454, 268, 6258, 827, 5042, 28589, 6620, 454, 268, 13028, 827, 3642, 267, 2620, 1565, 267, 543, 3684, 1565, 454, 268, 13760, 519, 2104, 3642, 3435, 543, 3082, 3728, 547, 873, 454, 268, 8950, 5075, 454, 268, 5769, 540, 12085, 454, 268, 6258, 875, 2857, 2658, 1949, 960, 454, 268, 13028, 811, 827, 17562, 543, 5841, 4987, 454, 268, 1656, 865, 1454, 811, 2336, 2467, 568, 1100, 2601, 547, 1832, 3257, 1919, 519, 2025, 1922, 5831, 539, 1259, 950, 2029, 814, 2016, 596, 971, 513, 1390, 1259, 547, 798, 1919, 811, 7561, 269, 7665, 4476, 707, 2724, 3681, 1247, 10893, 4220, 602, 596, 1131, 711, 723, 1634, 827, 1354, 256, 0, 5978, 4064, 616, 835, 540, 938, 1034, 10475, 12823, 269, 1358, 1450, 721, 547, 1995, 519, 5898, 540, 519, 1158, 269, 1809, 1705, 596, 917, 707, 4064, 849, 666, 581, 513, 6885, 547, 707, 2949, 1072, 286, 3245, 4543, 3713, 1072, 2042, 547, 5355, 707, 1134, 5630, 267, 12391, 585, 707, 32416, 5012, 547, 513, 1732, 2298, 540, 1272, 269, 3371, 616, 930, 1271, 3750, 1072, 4388, 547, 948, 596, 2149, 707, 5075, 912, 291, 787, 3750, 2589, 1331, 16698, 267, 27497, 339, 1465, 610, 8781, 538, 707, 4064, 267, 23324, 5075, 543, 7050, 3750, 14450, 269, 11790, 899, 2085, 267, 4008, 543, 2825, 2175, 666, 1404, 513, 851, 538, 3384, 3819, 4064, 269, 0, 23208, 15638, 769, 476, 14991, 273, 454, 32637, 267, 476, 1704, 5130, 476, 1001, 280, 454, 20225, 476, 4962, 13100, 2678, 570, 545, 3559, 10458, 267, 674, 12661, 880, 8071, 4593, 534, 267, 10523, 693, 827, 476, 10170, 593, 713, 1554, 538, 1686, 563, 20225, 476, 1428, 2201, 713, 1554, 538, 1686, 2144, 11047, 639, 654, 573, 10458, 267, 21917, 454, 20225, 476, 1789, 12770, 645, 3073, 807, 267, 519, 6048, 4882, 5593, 267, 10523, 693, 476, 8618, 593, 713, 1554, 538, 1686, 563, 12914, 476, 6349, 769, 519, 1032, 476, 14991, 273, 23882, 7952, 26328, 270, 680, 1495, 619, 7933, 652, 549, 903, 631, 1815, 3559, 523, 454, 12914, 476, 4962, 5053, 7952, 896, 1325, 9366, 781, 5067, 5213, 12049, 518, 1731, 726, 1495, 619, 631, 1815, 3559, 523, 593, 713, 1554, 538, 1686, 563, 12914, 476, 1240, 5053, 10136, 4323, 8575, 770, 5341, 339, 593, 713, 1554, 538, 1686, 563, 12914, 476, 2190, 11977, 26304, 267, 476, 274, 6113, 23778, 540, 14216, 2421, 267, 2296, 22267, 630, 25900, 269, 476, 5611, 279, 264, 538, 519, 1032, 476, 14991, 273, 563, 22261, 476, 6187, 8111, 2617, 320, 568, 4767, 538, 26424, 1634, 607, 18706, 328, 2100, 807, 593, 713, 1554, 538, 1686, 563, 22261, 476, 6187, 2201, 713, 1554, 538, 1686, 31975, 320, 568, 4767, 538, 519, 26424, 1634, 607, 18706, 328, 2100, 807, 454, 22261, 476, 5400, 2977, 534, 590, 580, 1143, 1495, 267, 1528, 528, 540, 15952, 29118, 270, 706, 651, 540, 2398, 17892, 593, 713, 1554, 538, 1686, 563, 22261, 476, 1556, 769, 519, 1032, 476, 14991, 273, 5918, 651, 540, 1325, 9366, 781, 5067, 5213, 12049, 20891, 5956 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 31034, 18425, 318, 25901, 815, 27835, 332, 1170, 14873, 9166, 1412, 684, 1243, 2829, 22779, 4449, 1412, 332, 1170, 13945, 9166, 1412, 684, 1243, 2829, 3299, 1412, 344, 4157, 517, 9166, 1412, 684, 1243, 2829, 262, 10926, 1721, 5757, 267, 2197, 538, 8933, 18425, 318, 25901, 29096, 10031, 825, 1820, 6600, 10454, 2715, 18182, 26644, 3890, 348, 8255, 998, 2715, 12248, 787, 26644, 3890, 348, 15419, 2745, 19629, 333, 10376, 5757, 3769, 538, 519, 8675, 281, 5602, 1721, 5757, 538, 8933, 18425, 318, 25901, 269, 12399, 10031, 825, 1820, 263, 18182, 2020, 2745, 19629, 333, 10376, 2197, 3769, 538, 519, 8675, 281, 5602, 1721, 2197, 538, 8933, 18425, 318, 25901, 269, 11161, 10031, 825, 1820, 6262, 870, 787, 994, 0, 322, 885, 815, 13634, 825, 1412, 548, 7631, 3122, 9166, 27835, 12248, 787, 9166, 1412, 684, 1243, 2829, 22779, 4449, 567, 1412, 28134, 9166, 476, 2412, 278, 6795, 2676, 4449, 567, 1412, 2399, 9166, 1412, 1492, 4332, 2897, 540, 14646, 5500, 13212, 3975, 9538, 348, 2676, 825, 1412, 325, 3558, 7921, 9166, 27835, 12248, 787, 9166, 1412, 684, 1243, 2829, 22779, 4449, 476, 1412, 28134, 9166, 476, 29889, 1240, 2676, 4449, 476, 1412, 2399, 9166, 1412, 24610, 547, 3514, 577, 7921, 1533, 6280, 9538, 348, 2676, 825, 1412, 342, 528, 31569, 9166, 27835, 12248, 787, 9166, 1412, 684, 1243, 2829, 22779, 4449, 476, 1412, 28134, 9166, 476, 8687, 271, 3393, 2676, 4449, 476, 1412, 2399, 9166, 1412, 333, 1157, 4067, 568, 21431, 26165, 9538, 348, 2676, 10926, 1721, 2749, 267, 9623, 538, 4872, 29096, 10031, 825, 1820, 6600, 257, 315, 333, 30949, 281, 2715, 322, 640, 26644, 3890, 348, 5602, 825, 1820, 6600, 257, 315, 339, 15575, 787, 281, 2715, 16769, 9131, 12248, 787, 262, 4940, 27583, 3890, 348, 5602, 825, 1820, 6600, 257, 315, 339, 16954, 1637, 281, 2715, 16769, 9131, 28134, 11172, 348, 5602, 825, 1820, 6600, 257, 315, 339, 15542, 281, 2715, 16769, 9131, 2399, 262, 4940, 5115, 1388, 1125, 3890, 348, 5602, 0, 5814, 2979, 454, 322, 25683, 8217, 815, 11713, 1721, 1775, 538, 2039, 263, 272, 267, 476, 1556, 2187, 825, 18695, 8217, 6910, 9217, 2020, 322, 25683, 8217, 318, 1260, 11772, 542, 815, 1496, 322, 4209, 2878, 476, 274, 585, 13306, 538, 18695, 8217, 2639, 2745, 6262, 25683, 8217, 318, 1260, 11772, 542, 994, 2745, 18692, 825, 535, 10454, 1101, 1614, 3688, 538, 519, 1592, 540, 18695, 616, 281, 346, 322, 25683, 8217, 318, 1260, 11772, 542, 11468, 274, 316, 348, 5602, 322, 4209, 8548, 1497, 815, 703, 9230, 6352, 6262, 25683, 8217, 318, 1260, 11772, 542, 264, 1315, 476, 273, 264, 910, 476, 272, 994, 2745, 6262, 4209, 8548, 1497, 994, 2745, 18692, 825, 535, 10454, 3688, 689, 519, 1647, 540, 519, 13306, 1592, 616, 281, 2715, 322, 25683, 8217, 318, 1260, 11772, 542, 314, 322, 4209, 8548, 1497, 268, 272, 281, 322, 4209, 8548, 1497, 266, 273, 316, 348, 5602, 2745, 6600, 10454, 2063, 1614, 3688, 538, 513, 1592, 616, 281, 2715, 322, 25683, 8217, 318, 1260, 11772, 542, 15631, 274, 281, 316, 348, 5602, 0, 3698, 1118, 318, 3333, 7398, 4433, 1125, 267, 1257, 2187, 825, 1820, 6600, 10454, 25099, 2450, 568, 2715, 21653, 348, 543, 519, 25099, 1257, 14509, 2715, 3667, 348, 15419, 24708, 318, 3333, 7398, 3488, 18958, 299, 3299, 1412, 296, 2648, 5124, 256, 5073, 24708, 318, 3333, 7398, 4433, 1125, 8782, 306, 3299, 1257, 8782, 296, 2648, 10084, 1862, 5073, 0, 5035, 14871, 912, 825, 5727, 288, 2241, 3801, 547, 2203, 513, 3593, 20701, 825, 1219, 6449, 8181, 9191, 1345, 267, 1101, 12173, 267, 2063, 12173, 267, 2085, 267, 4463, 267, 2597, 2187, 1038, 5727, 22873, 658, 3278, 3593, 10305, 12163, 1038, 1582, 8807, 1009, 12173, 815, 1101, 12173, 454, 1038, 1582, 16096, 12173, 815, 2063, 12173, 454, 1038, 1582, 269, 720, 815, 2085, 454, 1038, 1582, 269, 19417, 815, 4463, 454, 1038, 1582, 269, 7076, 815, 2597, 692, 825, 1219, 4766, 318, 12528, 4311, 2187, 1038, 5727, 7468, 6493, 513, 5758, 540, 519, 3593, 781, 1344, 12163, 1038, 1820, 6600, 257, 315, 333, 5575, 2012, 281, 2715, 1345, 8807, 1009, 12173, 26644, 3890, 348, 5602, 1038, 1820, 6600, 257, 8310, 2012, 281, 2715, 1345, 16096, 12173, 26644, 3890, 348, 5602, 1038, 1820, 6600, 21202, 613, 281, 2715, 1345, 269, 720, 348, 5602, 1038, 1820, 6600, 257, 3891, 697, 281, 2715, 1345, 269, 19417, 348, 5602, 1038, 1820, 6600, 20442, 697, 281, 2715, 1345, 269, 7076, 348, 15419, 825, 1219, 26250, 318, 12528, 4311, 2187, 1038, 5727, 7468, 6493, 513, 10531, 28551, 547, 519, 3593, 12163, 1038, 1820, 6600, 257, 15916, 267, 2715, 1345, 8807, 1009, 12173, 26644, 3890, 348, 2715, 1345, 16096, 12173, 26644, 3890, 348, 5602, 1038, 1820, 2891, 1692, 616, 596, 2221, 8119, 9239, 935, 24335, 815, 14871, 3488, 935, 24335, 3299, 1412, 326, 20423, 3299, 476, 1704, 267, 476, 10170, 267, 476, 7742, 994, 2675, 2714, 815, 14871, 3488, 2675, 2714, 3299, 1412, 326, 20423, 3299, 476, 4366, 267, 476, 7761, 267, 476, 26326, 994, 5894, 320, 815, 14871, 3488, 5894, 320, 3299, 1412, 326, 20423, 3299, 476, 5325, 267, 476, 6924, 267, 476, 15996, 2020, 935, 24335, 6155, 525, 9216, 318, 12528, 4590, 935, 24335, 3052, 22901, 318, 12528, 4590, 2675, 2714, 6155, 525, 9216, 318, 12528, 4590, 2675, 2714, 3052, 22901, 318, 12528, 4590, 5894, 320, 6155, 525, 9216, 318, 12528, 4590, 5894, 320, 3052, 22901, 318, 12528, 4590, 0, 5035, 14871, 912, 825, 5727, 288, 2241, 3801, 547, 2203, 513, 3593, 20701, 825, 1219, 6449, 8181, 9191, 1345, 267, 1101, 12173, 267, 2063, 12173, 267, 2085, 267, 4463, 267, 2597, 2187, 1038, 5727, 22873, 658, 3278, 3593, 10305, 12163, 1038, 1582, 8807, 1009, 12173, 815, 1101, 12173, 454, 1038, 1582, 16096, 12173, 815, 2063, 12173, 454, 1038, 1582, 269, 720, 815, 2085, 454, 1038, 1582, 269, 19417, 815, 4463, 454, 1038, 1582, 269, 7076, 815, 2597, 454, 1038, 1582, 28802, 514, 318, 3430, 3319, 338, 815, 476, 271, 692, 825, 1219, 4766, 318, 12528, 4311, 2187, 1038, 5727, 7468, 6493, 513, 5758, 540, 519, 3593, 781, 1344, 12163, 1038, 1820, 6600, 257, 315, 333, 5575, 2012, 281, 2715, 1345, 8807, 1009, 12173, 26644, 3890, 348, 5602, 1038, 1820, 6600, 257, 8310, 2012, 281, 2715, 1345, 16096, 12173, 26644, 3890, 348, 5602, 1038, 1820, 6600, 21202, 613, 281, 2715, 1345, 269, 720, 348, 5602, 1038, 1820, 6600, 257, 3891, 697, 281, 2715, 1345, 269, 19417, 348, 5602, 1038, 1820, 6600, 20442, 697, 281, 2715, 1345, 269, 7076, 348, 15419, 825, 1219, 26250, 318, 12528, 4311, 2187, 1038, 5727, 7468, 6493, 513, 10531, 28551, 547, 519, 3593, 12163, 1038, 1820, 6600, 257, 15916, 267, 2715, 1345, 8807, 1009, 12173, 26644, 3890, 348, 2715, 1345, 16096, 12173, 26644, 3890, 348, 5602, 1038, 1820, 2891, 1692, 616, 596, 2221, 8119, 2020, 825, 1219, 27261, 318, 8421, 514, 318, 3430, 3319, 338, 4311, 2187, 1038, 5727, 19102, 906, 519, 21189, 8942, 676, 519, 3593, 12163, 1038, 1582, 28802, 514, 318, 3430, 3319, 338, 6834, 476, 272, 454, 1038, 2132, 1582, 28802, 514, 318, 3430, 3319, 338, 692, 825, 1219, 19268, 318, 8421, 514, 318, 3430, 3319, 338, 4311, 2187, 1038, 5727, 4910, 1115, 519, 1297, 540, 21189, 8942, 547, 4642, 12163, 1038, 1582, 28802, 514, 318, 3430, 3319, 338, 815, 476, 271, 454, 1038, 2132, 1582, 28802, 514, 318, 3430, 3319, 338, 7531, 2675, 2714, 815, 14871, 3488, 2675, 2714, 3299, 1412, 326, 20423, 3299, 476, 4366, 267, 476, 7761, 267, 476, 26326, 994, 2745, 6600, 257, 19868, 514, 3801, 281, 2715, 2675, 2714, 23357, 920, 618, 318, 8421, 514, 318, 3430, 3319, 338, 3890, 348, 5602, 2745, 6600, 257, 19868, 514, 3801, 281, 2715, 2675, 2714, 23357, 920, 618, 318, 8421, 514, 318, 3430, 3319, 338, 3890, 348, 5602, 2745, 6600, 257, 19868, 514, 3801, 281, 2715, 2675, 2714, 23357, 920, 618, 318, 8421, 514, 318, 3430, 3319, 338, 3890, 348, 5602, 2745, 6600, 257, 19868, 514, 3801, 281, 2715, 2675, 2714, 23357, 920, 618, 318, 8421, 514, 318, 3430, 3319, 338, 3890, 348, 5602, 2745, 6600, 257, 19868, 514, 3801, 281, 2715, 2675, 2714, 23357, 920, 618, 318, 8421, 514, 318, 3430, 3319, 338, 3890, 348, 5602, 2745, 6600, 257, 19868, 514, 3801, 281, 2715, 2675, 2714, 23357, 920, 618, 318, 8421, 514, 318, 3430, 3319, 338, 3890, 348, 5602, 2745, 6600, 257, 19868, 514, 3801, 281, 2715, 2675, 2714, 23357, 920, 618, 318, 8421, 514, 318, 3430, 3319, 338, 3890, 348, 5602, 2745, 6600, 257, 19868, 514, 3801, 281, 2715, 2675, 2714, 23357, 920, 618, 318, 8421, 514, 318, 3430, 3319, 338, 3890, 348, 15419, 2745, 6600, 257, 4910, 23293, 21189, 8942, 281, 5602, 2675, 2714, 269, 637, 564, 318, 8421, 514, 318, 3430, 3319, 338, 4590, 2745, 6600, 257, 19868, 514, 3801, 281, 2715, 2675, 2714, 28802, 514, 318, 3430, 3319, 338, 348, 5602, 0, 323, 3195, 24449, 659, 725, 815, 11713, 341, 659, 566, 815, 834, 4840, 6112, 16314, 11203, 1412, 336, 12466, 825, 16314, 815, 3403, 18692, 1038, 535, 257, 2252, 596, 1223, 3643, 835, 1747, 538, 519, 1158, 267, 1141, 1131, 596, 979, 286, 5602, 825, 952, 16314, 11203, 1412, 336, 12466, 1038, 5326, 24449, 659, 725, 6910, 17635, 659, 566, 2020, 2745, 2891, 24342, 540, 519, 3542, 616, 281, 19515, 604, 5326, 24449, 659, 725, 912, 825, 585, 5326, 24449, 659, 566, 538, 5326, 24449, 659, 725, 912, 1038, 1820, 6600, 257, 315, 339, 18097, 3195, 24449, 659, 566, 348, 5602, 0, 18851, 9556, 2544, 585, 18062, 12902, 1210, 12603, 1362, 12163, 5228, 4351, 1104, 28219, 842, 7531, 5035, 12603, 10031, 825, 5727, 288, 1362, 2813, 547, 900, 3634, 513, 521, 3660, 18062, 20701, 825, 1219, 6449, 8181, 9191, 1345, 267, 5011, 284, 277, 2187, 1038, 5727, 17746, 1192, 528, 547, 20006, 519, 12603, 1362, 12163, 1038, 1582, 4732, 1938, 815, 5011, 692, 825, 1219, 5066, 5091, 773, 4311, 2187, 1038, 5727, 10387, 12885, 519, 5066, 540, 519, 5884, 12163, 1038, 18062, 318, 2651, 815, 28219, 842, 263, 272, 267, 1582, 4732, 1938, 994, 1038, 2132, 18062, 318, 2651, 454, 0, 26611, 23591, 24800, 19841, 341, 9226, 274, 454, 5814, 7510, 704, 743, 760, 454, 5814, 15259, 454, 5228, 19523, 1104, 2415, 341, 7531, 3698, 16814, 318, 743, 760, 4580, 318, 2169, 847, 10031, 825, 17157, 4580, 318, 4186, 757, 815, 7510, 704, 743, 760, 4877, 4292, 14061, 20889, 4590, 825, 3977, 23952, 815, 834, 4840, 825, 3977, 318, 584, 3149, 815, 11713, 825, 1376, 9078, 6327, 815, 476, 271, 454, 825, 585, 5569, 538, 17157, 4580, 318, 4186, 757, 912, 1038, 952, 834, 332, 9298, 1701, 538, 5569, 912, 2018, 2063, 5091, 1662, 815, 5569, 25331, 22772, 2891, 268, 5602, 2018, 2063, 318, 14766, 318, 10420, 815, 5569, 25331, 22772, 2891, 268, 5602, 2018, 585, 1347, 538, 5569, 912, 3546, 952, 1347, 2652, 834, 295, 13426, 7386, 1376, 9078, 6327, 815, 5569, 28827, 2891, 295, 5602, 3546, 8640, 1347, 2652, 834, 327, 13426, 7386, 1376, 9078, 6327, 815, 5569, 28827, 2891, 327, 5602, 2018, 3977, 23952, 815, 5569, 314, 11034, 9078, 6327, 281, 2639, 258, 4688, 519, 4087, 540, 519, 2063, 2049, 766, 540, 1315, 1287, 454, 258, 11571, 519, 1964, 585, 2338, 543, 5022, 1287, 3247, 693, 519, 1101, 1875, 454, 258, 4484, 610, 703, 454, 2018, 585, 1347, 538, 5569, 314, 18431, 5091, 1662, 281, 14158, 3546, 952, 1347, 18994, 10401, 3890, 2652, 8771, 543, 1347, 18994, 323, 13424, 3890, 2652, 8771, 912, 7386, 2063, 318, 14766, 318, 10420, 815, 5569, 28827, 263, 10420, 994, 7386, 2736, 454, 2018, 3977, 23952, 272, 815, 5569, 18622, 2897, 3488, 257, 3299, 834, 5602, 2018, 3977, 23952, 273, 815, 3977, 23952, 272, 18622, 2897, 2891, 262, 2580, 834, 5602, 2018, 3977, 23952, 274, 815, 3977, 23952, 273, 18622, 2897, 19629, 257, 2580, 834, 5602, 2018, 3977, 318, 584, 3149, 6910, 263, 16059, 23952, 274, 2020, 825, 2132, 3977, 318, 584, 3149, 7531, 3698, 4647, 518, 263, 14766, 8217, 267, 4087, 2187, 825, 952, 4087, 2652, 834, 13426, 1038, 585, 29250, 538, 29250, 8217, 912, 2018, 15259, 269, 17882, 6600, 257, 332, 1122, 611, 331, 1412, 346, 14766, 348, 262, 5602, 825, 3116, 912, 1038, 585, 29250, 538, 29250, 8217, 912, 2018, 15259, 269, 17882, 6600, 257, 332, 1122, 611, 331, 4534, 12949, 2715, 331, 6327, 348, 1412, 346, 14766, 348, 262, 257, 9239, 3698, 1292, 10031, 825, 952, 7003, 263, 1173, 341, 264, 2999, 476, 273, 912, 1038, 4647, 518, 263, 6255, 6447, 318 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 596, 1223, 946, 7801, 3817, 607, 513, 8007, 602, 596, 2285, 547, 707, 1126, 950, 646, 610, 1352, 1281, 1945, 1434, 267, 899, 3081, 9684, 596, 267, 3947, 513, 5360, 2939, 267, 610, 2337, 856, 1354, 1373, 4280, 269, 3502, 1152, 1281, 621, 8007, 873, 676, 4758, 873, 606, 2534, 789, 786, 2972, 3257, 267, 855, 621, 849, 9727, 547, 873, 602, 922, 1434, 547, 798, 1919, 602, 5225, 519, 7083, 563, 3719, 519, 9904, 2681, 3817, 799, 2097, 609, 6272, 543, 1507, 12400, 899, 4190, 7801, 3615, 1118, 621, 2653, 585, 873, 547, 3314, 519, 1913, 269, 1879, 670, 585, 21696, 610, 5851, 610, 5600, 568, 5532, 609, 5961, 610, 27977, 540, 519, 3615, 267, 789, 1265, 621, 4277, 543, 16168, 543, 3314, 3533, 269, 4935, 713, 568, 835, 1360, 1271, 4324, 602, 596, 1205, 689, 9904, 7801, 3817, 563, 19185, 585, 513, 1259, 547, 1832, 707, 1126, 13026, 1247, 3450, 873, 519, 6478, 540, 2696, 693, 519, 1482, 942, 286, 4168, 7801, 3817, 585, 3214, 616, 513, 1390, 1907, 596, 666, 946, 547, 798, 1175, 602, 269, 1306, 707, 1453, 2681, 5961, 540, 6426, 2984, 610, 3197, 267, 621, 786, 948, 12927, 741, 1702, 540, 519, 6426, 543, 540, 2696, 563, 30357, 13192, 16451, 7792, 5961, 540, 562, 18356, 10207, 18173, 7801, 2835, 585, 4079, 29357, 7990, 532, 7703, 7990, 532, 1093, 651, 3000, 585, 7801, 2370, 544, 1069, 4660, 7792, 2592, 2937, 7801, 2835, 585, 2367, 1100, 1695, 818, 330, 2534, 9212, 8126, 1194, 7801, 5961, 1820, 1055, 7801, 9212, 2937, 7801, 2835, 5810, 1989, 9404, 18912, 8941, 7801, 1433, 512, 10005, 7990, 532, 7206, 3211, 585, 23021, 27959, 3046, 29560, 7801, 2143, 7990, 532, 538, 561, 565, 7792, 7990, 532, 1093, 651, 3000, 5961, 547, 2681, 543, 1820, 7801, 8260, 531, 553, 585, 4079, 27959, 547, 2681, 543, 1820, 0, 1103, 519, 2038, 1296, 267, 649, 1419, 5873, 5717, 827, 519, 269, 7914, 11034, 779, 2565, 3206, 2238, 616, 4061, 513, 1390, 605, 10629, 19443, 2669, 1557, 1259, 547, 4497, 1053, 543, 5000, 2565, 3206, 543, 9266, 7744, 1983, 538, 873, 256, 875, 1453, 1451, 547, 875, 547, 2328, 606, 31369, 4633, 4194, 2042, 875, 1279, 568, 513, 2110, 1557, 4179, 2517, 4178, 4732, 3273, 2880, 2593, 2260, 1137, 3613, 1137, 24376, 7302, 10242, 268, 16753, 1606, 9876, 3491, 21793, 2259, 17429, 794, 609, 23221, 3756, 269, 3486, 1870, 1382, 4574, 1570, 3144, 689, 519, 3084, 1382, 1957, 593, 1870, 2994, 609, 707, 22525, 267, 4585, 707, 18759, 538, 513, 1804, 11604, 269, 689, 30053, 547, 678, 26680, 267, 25064, 4992, 547, 18551, 267, 3756, 971, 607, 968, 328, 22342, 892, 610, 1818, 909, 18405, 547, 1455, 26107, 267, 519, 3268, 540, 1603, 606, 1557, 11913, 7317, 2238, 666, 8300, 543, 20741, 3860, 8186, 269, 1870, 1966, 6061, 1557, 11768, 10959, 554, 15071, 779, 538, 3829, 1966, 9010, 13753, 1683, 1153, 17253, 3435, 547, 519, 2591, 540, 2679, 3329, 894, 1983, 689, 18296, 5635, 543, 4334, 1557, 2038, 1296, 547, 1032, 476, 277, 519, 2038, 1296, 26612, 596, 666, 2328, 1966, 6061, 2238, 585, 2038, 1296, 621, 607, 952, 519, 1966, 1869, 6818, 267, 1966, 6061, 2238, 585, 2038, 1296, 610, 607, 952, 519, 1966, 941, 2907, 12193, 949, 476, 736, 267, 476, 1708, 271, 5788, 971, 18129, 5000, 5042, 2870, 606, 7291, 585, 606, 1557, 607, 1134, 607, 1514, 1646, 267, 543, 666, 16491, 1053, 609, 519, 2645, 789, 3580, 991, 2239, 1603, 7291, 547, 2232, 543, 4194, 2042, 2429, 519, 1964, 540, 741, 2729, 269, 519, 9735, 3211, 267, 3756, 543, 2534, 6486, 666, 948, 596, 1966, 6061, 2238, 585, 2038, 1296, 1711, 606, 3078, 543, 2502, 1565, 1604, 269, 3946, 6823, 2979, 2238, 585, 1453, 945, 2648, 7161, 256, 1966, 6061, 2238, 585, 2038, 1296, 11356, 2212, 1467, 1107, 2119, 1603, 707, 1966, 607, 952, 621, 941, 513, 2212, 1467, 538, 513, 11356, 269, 1966, 6061, 2238, 602, 948, 596, 8360, 543, 25471, 13359, 1557, 1174, 519, 1966, 596, 1557, 593, 1272, 1995, 616, 3843, 547, 4194, 15545, 0, 15900, 6304, 538, 10295, 8552, 4524, 630, 32359, 264, 568, 2565, 547, 2087, 2038, 22907, 543, 1599, 538, 2663, 1272, 1496, 24154, 1091, 24849, 267, 6008, 10719, 267, 717, 1263, 26919, 267, 1299, 25391, 1122, 601, 267, 476, 1001, 276, 282, 6480, 525, 1696, 620, 1421, 476, 1001, 276, 282, 631, 1495, 344, 1299, 595, 4900, 517, 267, 476, 1960, 278, 4940, 22384, 540, 20284, 693, 513, 1762, 2085, 2636, 2038, 6304, 267, 855, 2038, 5868, 568, 711, 2141, 2009, 269, 4340, 547, 519, 3332, 267, 2038, 4191, 540, 20284, 616, 3622, 9571, 543, 8995, 607, 2038, 607, 476, 1321, 1700, 2190, 3275, 540, 2085, 1496, 289, 20477, 267, 744, 3256, 267, 9966, 874, 516, 903, 267, 1299, 6341, 267, 476, 1001, 271, 282, 21890, 514, 2006, 1696, 620, 1421, 476, 1220, 279, 282, 2098, 11445, 3394, 29231, 1696, 620, 1421, 476, 1220, 280, 4940, 1717, 267, 519, 3328, 2085, 540, 5868, 568, 1454, 2362, 538, 519, 2136, 2276, 543, 9705, 1496, 289, 320, 1470, 1696, 620, 1421, 476, 1001, 279, 282, 2817, 4659, 540, 7981, 4065, 267, 476, 1001, 276, 4940, 901, 15739, 32735, 11710, 689, 942, 21791, 20241, 267, 7199, 1416, 1949, 267, 1279, 7996, 2053, 267, 17732, 540, 4648, 267, 543, 1970, 4656, 540, 1612, 777, 19745, 11970, 1023, 1496, 2704, 628, 1787, 1299, 14351, 2006, 267, 476, 1220, 277, 282, 21388, 1696, 620, 1421, 476, 1001, 277, 282, 645, 529, 8615, 1512, 267, 476, 1001, 272, 282, 674, 523, 1731, 850, 267, 11875, 518, 20198, 267, 8606, 2089, 328, 267, 1299, 667, 1446, 344, 267, 476, 1001, 275, 282, 17833, 321, 1696, 620, 1421, 476, 1001, 273, 282, 6129, 342, 5622, 267, 715, 2129, 267, 13690, 267, 13690, 267, 1299, 962, 5622, 267, 476, 1001, 278, 282, 654, 24513, 1231, 267, 13391, 1470, 267, 1299, 19676, 267, 476, 1220, 277, 4940, 3958, 267, 538, 9705, 267, 1079, 2101, 4128, 11855, 585, 519, 18848, 1063, 950, 3237, 1101, 14353, 2589, 543, 519, 942, 540, 5868, 616, 630, 320, 264, 519, 3661, 602, 2589, 786, 8207, 607, 519, 1126, 9428, 630, 7367, 269, 273, 8472, 543, 630, 321, 264, 4387, 7840, 547, 8488, 5868, 538, 1762, 1453, 630, 4375, 269, 278, 22103, 901, 8711, 519, 5266, 3908, 4656, 540, 20284, 538, 11114, 2486, 1496, 13233, 4659, 540, 7981, 4065, 267, 476, 1001, 276, 4940, 30587, 568, 513, 840, 26817, 1725, 8251, 1505, 547, 2697, 2038, 23314, 540, 4713, 267, 543, 666, 581, 519, 1101, 1900, 540, 519, 10368, 1184, 1496, 290, 12643, 529, 1512, 334, 267, 19134, 10458, 4149, 577, 528, 549, 267, 681, 773, 7815, 305, 7238, 1087, 2401, 267, 1299, 853, 773, 6921, 6308, 267, 476, 1001, 278, 4940, 15380, 267, 9584, 585, 20284, 814, 1044, 5340, 609, 9584, 7405, 538, 519, 1106, 540, 27877, 268, 3603, 26830, 610, 2241, 8343, 676, 8036, 4648, 1496, 307, 578, 548, 1299, 18536, 267, 476, 1001, 277, 4940, 6201, 540, 4540, 9584, 7405, 616, 519, 3525, 1881, 6744, 4289, 585, 20150, 538, 25595, 6840, 630, 300, 4211, 295, 2969, 264, 1496, 21659, 1231, 267, 3171, 514, 267, 1299, 19258, 517, 267, 476, 1960, 280, 282, 7605, 1231, 267, 3171, 514, 267, 19258, 517, 267, 1299, 5682, 267, 476, 1220, 272, 3910, 519, 30587, 15484, 585, 20150, 538, 25595, 6840, 543, 8479, 5753, 1496, 1805, 821, 267, 595, 3019, 16967, 267, 1299, 744, 639, 2917, 267, 476, 1220, 271, 282, 12942, 267, 595, 3019, 16967, 267, 25306, 267, 1299, 7313, 345, 323, 565, 267, 476, 1220, 275, 282, 12942, 267, 5062, 300, 1695, 517, 267, 1299, 26673, 3205, 267, 476, 1220, 279, 3910, 519, 4317, 9442, 7726, 3534, 2231, 630, 17092, 17988, 264, 1496, 305, 13616, 267, 13391, 13704, 267, 7083, 267, 1299, 7137, 2163, 267, 476, 1220, 274, 3910, 543, 519, 4317, 23206, 543, 9442, 5530, 630, 306, 3722, 306, 264, 1496, 21574, 8663, 334, 1299, 19837, 534, 599, 820, 267, 476, 1001, 271, 4940, 2986, 891, 267, 519, 631, 4211, 295, 2969, 543, 14662, 304, 723, 1044, 12261, 883, 11114, 1496, 298, 574, 1696, 620, 1421, 476, 1001, 276, 282, 962, 5622, 267, 476, 1220, 279, 4940, 19881, 9584, 7405, 585, 20284, 723, 7550, 2901, 2759, 4752, 8464, 610, 693, 16151, 2623, 4485, 269, 5637, 723, 5383, 267, 855, 930, 2090, 723, 6700, 602, 519, 8446, 540, 20854, 609, 20284, 1210, 2759, 4752, 8464, 949, 581, 23696, 1496, 17357, 8688, 334, 267, 13648, 267, 1299, 2274, 7079, 11209, 267, 476, 1220, 274, 282, 5240, 577, 3530, 518, 267, 10557, 267, 6424, 267, 1299, 10557, 267, 476, 1220, 275, 316, 1317, 8464, 666, 4268, 2066, 4529, 1496, 2419, 21628, 1696, 620, 1421, 476, 1001, 273, 282, 13690, 1696, 620, 1421, 476, 1001, 276, 4940, 5502, 267, 693, 16151, 6114, 689, 1246, 5346, 10873, 538, 631, 4211, 295, 2969, 267, 8863, 2969, 267, 543, 590, 3722, 306, 666, 2697, 1808, 4162, 540, 20284, 543, 616, 1031, 547, 2445, 3606, 1344, 543, 547, 2569, 519, 12136, 540, 7301, 1790, 657, 14476, 1496, 21659, 1231, 1696, 620, 1421, 476, 1960, 280, 4940, 4329, 267, 15366, 11042, 610, 26830, 949, 849, 1267, 538, 27680, 9186, 610, 16148, 6114, 1496, 10908, 553, 1723, 324, 267, 476, 1220, 271, 282, 12942, 267, 32129, 2006, 267, 11066, 267, 1299, 744, 639, 2917, 267, 476, 1960, 275, 4940, 2368, 9584, 2645, 616, 13950, 693, 513, 1808, 2085, 267, 543, 1082, 693, 16151, 1453, 949, 581, 14406, 1813, 547, 741, 2085, 1496, 21574, 8663, 334, 1299, 19837, 534, 599, 820, 267, 476, 1001, 271, 4940, 1280, 1383, 267, 4745, 3007, 630, 297, 288, 264, 568, 835, 540, 519, 2565, 2188, 1031, 547, 10646, 1453, 693, 1981, 540, 20284, 689, 3335, 3384, 1453, 543, 1453, 609, 824, 11095, 9124, 630, 291, 17762, 1040 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1296, 1354, 519, 10632, 267, 998, 519, 5650, 5473, 1079, 11775, 17364, 513, 1079, 4458, 1974, 269, 634, 4872, 530, 5109, 547, 3984, 519, 10632, 946, 998, 741, 9757, 18487, 16727, 9730, 269, 2991, 513, 24526, 5967, 543, 849, 1896, 24422, 519, 519, 5989, 676, 519, 594, 8016, 8387, 267, 519, 3803, 4872, 4055, 2110, 4289, 539, 642, 519, 594, 8016, 2818, 13359, 585, 519, 3984, 2749, 269, 8625, 540, 1631, 267, 519, 10891, 4872, 1317, 602, 519, 1985, 1079, 15604, 21396, 543, 1614, 14400, 21396, 723, 2965, 1044, 4956, 269, 10251, 267, 1100, 7192, 686, 2749, 568, 1851, 519, 14747, 269, 1717, 267, 667, 752, 541, 267, 7354, 20235, 814, 1044, 5697, 547, 3180, 519, 15272, 14400, 16727, 10632, 267, 7620, 8430, 2097, 581, 6896, 538, 476, 1708, 273, 2705, 6410, 547, 476, 1708, 277, 563, 8450, 811, 281, 1548, 9877, 2986, 13928, 1772, 769, 634, 28414, 10793, 29778, 267, 18514, 16737, 6833, 8175, 454, 18814, 547, 519, 1249, 602, 540, 519, 2500, 476, 1001, 271, 10340, 19067, 2680, 538, 5045, 4000, 267, 602, 568, 1152, 513, 2339, 540, 942, 1991, 547, 602, 2197, 14747, 519, 21396, 607, 1134, 269, 0, 10303, 22980, 29442, 320, 3468, 3930, 636, 1034, 1419, 568, 513, 22480, 267, 1582, 29438, 1243, 2068, 267, 15260, 1005, 519, 3237, 540, 1453, 609, 519, 2783, 1419, 568, 519, 1152, 6304, 2556, 269, 1280, 2550, 609, 907, 9615, 540, 22980, 29442, 320, 3468, 3930, 636, 269, 661, 787, 29442, 320, 3468, 3930, 636, 568, 711, 3622, 513, 3978, 2783, 269, 1703, 568, 1100, 1808, 2126, 269, 18748, 539, 1453, 949, 2611, 693, 1153, 267, 607, 519, 11763, 3942, 610, 642, 4275, 8598, 4386, 1354, 519, 16420, 568, 10423, 269, 634, 3498, 540, 606, 4672, 2275, 1245, 1166, 14128, 666, 14867, 519, 9636, 540, 8781, 3905, 1750, 4060, 1547, 1306, 538, 1022, 10194, 4576, 267, 4509, 20697, 543, 3617, 1964, 568, 8612, 661, 787, 29442, 320, 3468, 3930, 636, 568, 513, 6689, 4576, 3361, 676, 3968, 609, 1612, 341, 21552, 645, 866, 269, 589, 1412, 16435, 11474, 32336, 262, 5920, 609, 513, 561, 2329, 20349, 593, 519, 8731, 810, 543, 17119, 885, 568, 519, 1034, 1455, 6881, 269, 3474, 341, 21552, 645, 866, 3968, 666, 849, 581, 2404, 609, 818, 6605, 4331, 543, 513, 1625, 20580, 545, 2759, 10389, 20349, 9615, 269, 1703, 568, 1100, 2126, 585, 11359, 2068, 269, 4107, 1453, 1205, 1134, 1510, 2126, 269, 1403, 707, 1126, 814, 513, 8611, 610, 4745, 9636, 267, 596, 949, 2285, 21449, 3133, 641, 1156, 630, 307, 2643, 523, 565, 10378, 264, 610, 16481, 1575, 19745, 523, 630, 300, 582, 12541, 10378, 610, 5917, 559, 10378, 1040, 3367, 519, 6003, 547, 917, 519, 1318, 9570, 585, 519, 2085, 540, 707, 1126, 269, 1684, 711, 2285, 16481, 1575, 19745, 523, 547, 1453, 7820, 982, 476, 277, 3275, 454, 292, 787, 29442, 320, 3468, 3930, 636, 4422, 2476, 593, 922, 1378, 865, 2126, 568, 6322, 693, 17212, 1324, 519, 2589, 269, 5753, 949, 581, 2016, 1875, 3122, 18042, 4550, 13611, 5061, 630, 301, 6347, 31312, 264, 547, 14867, 8611, 267, 513, 577, 1465, 267, 15677, 267, 543, 4745, 1928, 543, 824, 5061, 547, 14867, 21422, 952, 621, 568, 4049, 8307, 31916, 2126, 540, 22980, 29442, 320, 3468, 3930, 636, 568, 2877, 269, 10001, 4761, 5895, 6081, 814, 1044, 1031, 547, 1225, 18571, 642, 790, 8926, 543, 2333, 22980, 6605, 334, 625, 529, 538, 6375, 665, 20234, 668, 2213, 2550, 609, 6986, 681, 6195, 513, 25936, 269, 6206, 8672, 1547, 568, 3989, 676, 519, 5920, 540, 513, 13581, 608, 656, 1335, 320, 630, 18528, 2224, 31004, 25017, 538, 519, 2960, 1070, 1360, 1455, 538, 519, 12963, 2085, 269, 898, 4386, 538, 519, 1106, 540, 15435, 17061, 1282, 519, 1153, 1974, 267, 7133, 8695, 543, 6690, 7567, 269, 898, 849, 4386, 538, 18273, 543, 15296, 267, 1447, 4749, 454, 292, 787, 29442, 320, 3468, 3930, 636, 2126, 634, 3498, 540, 606, 4672, 2275, 1245, 1166, 14128, 666, 14867, 519, 9636, 540, 8781, 3905, 1750, 4060, 269, 1403, 606, 513, 27415, 6433, 568, 1336, 593, 960, 1575, 267, 1287, 17626, 24562, 270, 3012, 665, 761, 4152, 1058, 581, 5340, 609, 2699, 1973, 1862, 1403, 513, 3993, 568, 1336, 547, 723, 8650, 1612, 341, 21552, 645, 866, 269, 29956, 22980, 29442, 320, 267, 849, 1634, 607, 25004, 8376, 267, 568, 10299, 676, 519, 1612, 341, 21552, 645, 866, 3644, 998, 7244, 267, 661, 787, 29442, 320, 16791, 3930, 636, 281, 1294, 2589, 267, 2126, 267, 6771, 269, 661, 787, 29442, 320, 16791, 3930, 636, 281, 1294, 2589, 267, 2126, 267, 6771, 269, 676, 7638, 517, 11986, 538, 15302, 269, 21213, 2904, 476, 2537, 267, 476, 1708, 272, 4595, 11359, 2068, 568, 513, 7646, 4576, 267, 621, 2356, 1281, 711, 2154, 2126, 269, 5851, 1416, 585, 513, 1126, 4171, 16420, 621, 2583, 949, 1331, 27046, 22596, 31725, 610, 824, 936, 7308, 23716, 8602, 5574, 269, 20390, 30105, 609, 4745, 1928, 949, 581, 5701, 609, 936, 7308, 23716, 1928, 17212, 951, 971, 607, 21449, 3133, 641, 1156, 630, 570, 2643, 523, 565, 543, 1866, 264, 610, 16481, 1575, 19745, 523, 630, 5917, 559, 2073, 7763, 12541, 543, 1866, 994, 15228, 9154, 1852, 543, 11215, 2359, 616, 519, 4493, 585, 2126, 540, 22980, 29442, 320, 3468, 3930, 636, 269, 2422, 21449, 3133, 641, 1156, 543, 5924, 715, 6347, 31312, 585, 8611, 1852, 267, 818, 628, 1537, 326, 5362, 267, 543, 15677, 267, 952, 1459, 269, 1403, 606, 513, 27415, 6433, 568, 1336, 593, 960, 1575, 267, 1287, 17626, 24562, 270, 3012, 665, 761, 4152, 1058, 581, 5340, 609, 2699, 1973, 1591, 13816, 16272, 267, 607, 2877, 267, 2429, 10194, 3968, 32279, 11067, 707, 3946, 1522, 948, 2061, 3478, 519, 3644, 269, 20390, 30105, 609, 4745, 1928, 949, 581, 5701, 609, 936, 7308, 23716, 1928, 17212, 951, 971, 607, 21449, 3133, 641, 1156, 570, 2643, 523, 565, 543, 1866, 610, 16481, 1575, 19745, 523, 5917, 559, 300, 582, 12541, 543, 1866, 269, 25004, 8376, 269, 25124, 568, 606, 17163, 1981, 585, 1153, 543, 1554, 13282, 10986, 661, 787, 29442, 320, 3468, 3930, 636, 568, 3361, 676, 513, 3644, 269, 12580, 1331, 513, 7646, 8611, 267, 1793, 11474, 19295, 2131, 2699, 16420, 593, 519, 3068, 267, 543, 513, 561, 2329, 16420, 593, 519, 7916, 267, 7953, 267, 543, 17657, 269, 634, 5868, 568, 1759, 593, 519, 8984, 16420, 269, 9615, 568, 6322, 693, 17212, 1324, 2589, 269, 661, 787, 29442, 320, 3468, 3930, 636, 267, 1419, 5219, 547, 607, 11359, 2068, 267, 568, 3361, 676, 1480, 1612, 341, 21552, 645, 866, 543, 269, 661, 787, 29442, 320, 3468, 3930, 636, 666, 581, 8995, 676, 8106, 4791, 6881, 540, 519, 2068, 4352, 7463, 10368, 4255, 543, 1973, 4529, 949, 581, 2838, 547, 4341, 856, 824, 16143, 21904, 269, 631, 843, 2665, 540, 519, 2068, 3335, 8207, 1369, 1906, 4374, 8259, 8374, 8451, 602, 2154, 10728, 14278, 11043, 2126, 454, 292, 787, 29442, 320, 3468, 3930, 636, 568, 513, 7646, 569, 11763, 543, 21380, 608, 656, 1335, 320, 540, 10924, 10194, 5169, 267, 9648, 538, 1453, 543, 1762, 4079, 269, 4595, 519, 2068, 4749, 6799, 609, 1152, 519, 2759, 10389, 20349, 267, 519, 17172, 6048, 949, 581, 519, 1152, 10629, 31570, 676, 519, 3461, 769, 476, 6245, 280, 621, 3893, 922, 1378, 2012, 910, 661, 787, 29442, 320, 16791, 3930, 636, 543, 1287, 674, 9281, 8025, 2068, 538, 476, 5002, 276, 269, 3502, 2394, 476, 3192, 276, 729, 621, 917, 602, 519, 2068, 729, 3361, 676, 513, 3644, 267, 950, 8241, 19274, 6331, 626, 962, 341, 517, 928, 595, 1601, 691, 694, 16781, 760, 527, 3585, 1336, 519, 3364, 3395, 538, 1200, 2978, 3732, 1297, 645, 268, 866, 1247, 3168, 585, 1945, 3116, 282, 543, 519, 1964, 267, 607, 789, 2161, 267, 568, 1686, 281, 661, 787, 628, 22201, 6400, 630, 528, 3474, 341, 21552, 264, 645, 866, 661, 787, 29442, 320, 3468, 3930, 636, 630, 325, 604, 628, 2068, 1040, 661, 787, 29442, 320, 3468, 3930, 636, 568, 513, 7646, 6689, 2068, 602, 568, 3361, 676, 1480, 1612, 341, 21552, 645, 901, 2783, 269, 589, 2489, 7650, 540, 519, 2589, 267, 3123, 543, 2126, 540, 11359, 2068, 267, 543, 824, 3730, 4388, 585, 3237, 269, 674, 5914, 23069, 2404, 609, 1480, 1612, 341, 21552, 645, 866, 3968, 538, 513, 1875, 268, 775, 13921, 24403, 1126, 7780, 1042, 940, 1285, 22980, 29442, 320, 3468, 3930, 636, 269, 11978, 7416, 737, 4802, 7416, 536, 843, 737, 337, 7564, 591, 19782, 642, 573, 732, 2588, 1042, 940, 554, 657, 9079, 651, 3766, 9545, 5866, 269, 15345, 679, 28040, 573, 737, 9109, 3534, 3765, 560, 7564, 333, 12027, 1140, 4378, 3771, 1159, 8636, 1846, 536, 23152, 4378, 1775, 535, 23152, 560, 320, 1688, 737, 2632, 752, 3279, 5609, 544, 7238, 323, 9545, 18033, 337, 1091, 25218, 535, 23152, 585, 1206, 3430, 1688, 331, 7564, 1375, 940, 1199, 1025, 663, 3045, 520, 1583, 860, 328, 522, 577, 2680, 340, 749, 339, 19738, 535, 23152, 1612, 341, 21552, 645, 866, 661, 787, 29442, 320, 3468, 3930, 636, 568, 513, 16420, 4576, 3361, 676, 1612, 341, 21552, 645, 866, 269, 661, 787, 29442, 320, 3468, 3930, 636, 568, 849, 1634, 607, 11359, 2068, 267, 1373, 476, 276, 628, 538, 519, 3140, 1592, 540, 16420, 27351, 6748, 6689, 11763, 3676, 281, 27330, 630, 272, 560, 1070, 25243, 8611, 630, 273, 526, 1070, 6299, 7578, 630, 274, 6113, 1070, 667, 4157, 525, 262, 2068, 630, 275, 628, 1070, 543, 9782, 7637, 630, 277, 628, 994, 1103, 1034, 1004, 267, 519, 10194, 3968, 3123, 1152, 5634, 2589, 282, 4061, 267, 22980, 29442, 320, 3468, 3930, 636, 2126, 568, 2356, 3908, 547, 1928, 2359, 609, 936, 7308, 23716, 6527, 971, 607, 16481, 1575, 19745, 523, 269, 1773, 4868, 540, 12862, 543, 1964, 616, 849, 5227, 267, 543, 4550, 7290, 8533, 6527, 949, 581, 1031, 547, 13468, 2960, 21422, 589, 5618, 6609, 540, 10194, 3968, 4929, 519, 2068, 661, 787, 29442, 320, 16791, 3930, 636, 610, 519, 11359, 2068, 269, 18748, 338, 12256, 543, 9002, 269, 2422, 995, 585, 2564, 1053, 267, 7189, 267, 17172, 6048, 267, 543, 11923, 269, 6435, 995, 538, 8600, 585, 11400, 269, 898, 6257, 519, 2068, 267, 543, 922, 4791, 2934, 267, 1018, 4523, 538, 6379, 543, 2126, 15415, 23369, 540, 661, 787, 29442, 320, 16791, 3930, 636, 269, 589, 4387, 781, 6268, 282, 589, 4387, 13279, 519, 5868, 540, 22980, 29442, 320, 3468, 3930, 636, 593, 519, 8984, 5920, 540, 519, 16420, 269, 10552, 4255, 666, 948, 2697, 519, 3644, 267, 855, 891, 616, 10355, 2944, 4849, 538, 1453, 945, 723, 513, 1634, 1973, 4524, 610, 606, 15176, 4761, 1062, 269, 9615, 540, 661, 787, 29442, 320, 16791, 3930, 636, 269, 28057, 269, 476, 274, 269, 1234, 9690, 681, 1662, 268, 2991, 20547, 267, 519, 1793, 11474, 1750, 4060, 16571, 1310, 4598, 547, 3002, 267, 3635, 610, 7943, 269, 27051, 476, 1015, 260, 540, 1453, 609, 661, 787, 29442, 320, 16791, 3930, 636, 1020, 818, 628, 1537, 326, 5362, 630, 329, 2002, 24074, 1070, 6466, 818, 628, 1537, 326, 5362, 4386, 538, 476, 3199, 260, 540, 4079, 609, 661, 787, 29442, 320, 16791, 3930, 636, 269, 3143, 2126, 568, 2877, 585, 661, 787, 29442, 320, 16791, 3930, 636, 454, 269, 6423, 3606, 1344, 1547, 1753, 1315, 1199, 614, 916, 2564, 8675, 513, 22271, 1592, 1315, 22980, 29442, 320, 3468, 3930, 636, 2822, 527, 1470, 25004, 8376, 630, 292, 787, 29442, 320, 16791, 3930, 636, 264, 20531, 267, 12580, 267, 23369, 1299, 9615, 25004, 2068, 267, 849, 1634, 607, 22980, 29442, 320, 3468, 3930, 636, 267, 568, 513, 10194, 3968, 4122, 7133, 1153, 21943, 1453, 269, 3245, 7646, 547, 9793, 21380, 267, 519, 2068, 4386, 2523, 538, 519, 5162, 543, 5614, 661, 787, 29442, 320, 3468, 3930, 636, 267, 11359, 2068, 267, 610, 1793, 11474, 32336, 6794, 568, 835, 540, 1896, 2009, 19183, 540, 3968, 676, 1612, 341, 21552, 645, 866, 269, 25004, 2068, 3335, 6799, 607, 513, 16420, 543, 568, 811, 1455, 538, 1453, 269, 2755, 1612, 341, 21552, 645, 866, 666, 1860, 3425, 540, 782, 6502, 267, 1152, 1079, 856, 540, 4557, 2043, 786, 1459, 609, 2168, 2589, 6641, 24840, 8323, 540, 22980, 29442, 320, 3468, 3930, 636, 949, 581, 3177, 1210, 1875, 3122, 18042, 4550, 13611, 5061, 630, 301, 6347, 31312, 264, 547, 14867, 8611, 267, 4731, 320, 1047, 267, 15677, 267, 543, 818, 628, 1537, 22468, 267, 2059, 609, 22521, 25316, 337 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 713, 835, 888, 19675, 594, 9192, 891, 1079, 1927, 18313, 10303, 707, 4776, 30613, 16794, 666, 1152, 6023, 513, 1906, 2592, 610, 2093, 693, 513, 942, 267, 621, 25533, 525, 519, 3283, 602, 5749, 1406, 3730, 269, 3245, 519, 5311, 540, 2592, 621, 8952, 267, 596, 2445, 1344, 689, 707, 2250, 2833, 602, 2337, 596, 4308, 609, 519, 1699, 3510, 269, 3973, 707, 1445, 10593, 2509, 519, 2104, 543, 596, 2253, 547, 1554, 323, 3195, 267, 4730, 856, 519, 9183, 689, 1114, 5380, 563, 18658, 952, 594, 1705, 621, 713, 1259, 888, 19675, 594, 798, 621, 602, 1259, 18313, 7661, 972, 779, 602, 968, 21036, 892, 4090, 950, 596, 1205, 519, 3070, 2336, 14881, 6557, 3257, 713, 892, 2336, 5804, 972, 596, 1847, 883, 2962, 267, 3257, 8726, 596, 1631, 3494, 786, 8207, 519, 3510, 269, 1403, 782, 4422, 2687, 547, 1544, 267, 519, 1439, 1267, 568, 707, 1966, 4991, 12193, 267, 610, 693, 519, 1360, 2547, 267, 596, 2744, 5813, 883, 707, 1985, 1900, 563, 19370, 6061, 568, 938, 2634, 779, 12747, 3210, 267, 621, 779, 513, 5311, 540, 4806, 12032, 269, 634, 1966, 568, 602, 707, 1101, 3210, 950, 21947, 609, 513, 1966, 568, 513, 6296, 5114, 543, 602, 561, 19123, 6438, 851, 540, 707, 2634, 267, 11690, 338, 538, 519, 1482, 2025, 3964, 8849, 11444, 269, 1411, 7148, 883, 5432, 2093, 267, 4296, 267, 543, 3435, 547, 5352, 513, 3210, 563, 4913, 267, 950, 596, 29596, 1045, 5803, 707, 11300, 2637, 3780, 1210, 519, 3830, 594, 4076, 2919, 267, 519, 1184, 2242, 269, 1635, 10296, 593, 1007, 8849, 2048, 548, 951, 685, 596, 14443, 707, 6296, 3210, 543, 2253, 547, 2263, 811, 11444, 602, 1291, 596, 547, 3605, 1007, 2093, 543, 1761, 3435, 563, 1103, 476, 1960, 273, 267, 594, 2813, 513, 3308, 3804, 4259, 1184, 1572, 267, 634, 10965, 2355, 14653, 540, 519, 8262, 16514, 267, 543, 3459, 2324, 609, 3906, 543, 2043, 547, 948, 873, 3035, 741, 3853, 269, 634, 9759, 540, 519, 1184, 267, 607, 1082, 540, 596, 917, 267, 568, 602, 606, 1367, 610, 2319, 1131, 2328, 1913, 543, 2721, 5961, 602, 6813, 1141, 789, 941, 1631, 630, 1492, 1699, 1533, 1070, 1141, 789, 1616, 547, 581, 513, 1032, 689, 1631, 630, 1492, 5551, 1007, 4641, 1070, 543, 2697, 519, 1614, 12050, 652, 1919, 789, 666, 798, 547, 1205, 972, 630, 9146, 3268, 1916, 15900, 2090, 609, 519, 14453, 2754, 32129, 2006, 5487, 305, 28970, 4951, 602, 1354, 1210, 3308, 2592, 547, 6813, 519, 2104, 267, 1152, 476, 3607, 260, 540, 519, 1004, 538, 741, 14453, 6498, 6956, 519, 2754, 779, 5075, 543, 4640, 269, 2991, 1210, 513, 4605, 547, 6813, 741, 5075, 267, 3853, 543, 4640, 267, 476, 11463, 260, 540, 873, 6956, 519, 4640, 267, 543, 476, 10019, 260, 540, 873, 1767, 789, 6956, 875, 741, 960, 8329, 547, 1312, 519, 5075, 543, 519, 4640, 4948, 269, 901, 2186, 540, 1967, 2557, 950, 1210, 3308, 11052, 729, 7368, 609, 824, 3549, 543, 519, 2164, 941, 5863, 543, 11121, 585, 519, 5171, 269, 1809, 950, 519, 1482, 1184, 729, 1031, 609, 2043, 267, 519, 2164, 941, 6825, 569, 1114, 269, 2368, 2043, 4769, 1406, 723, 519, 1482, 7525, 2702, 547, 3035, 1967, 585, 930, 2601, 563, 763, 1004, 945, 941, 1210, 634, 10965, 2355, 14653, 540, 519, 8262, 16514, 1184, 1185, 1419, 4121, 827, 621, 676, 8384, 1250, 570, 3633, 343, 14175, 1512, 8571, 2659, 8892, 2911, 269, 1358, 1131, 5299, 610, 4647, 519, 8262, 16514, 10959, 267, 1711, 2592, 18995, 741, 1699, 543, 5551, 2829, 267, 543, 1287, 2697, 519, 1614, 12050, 3268, 547, 1205, 972, 563, 763, 2911, 1185, 6603, 513, 1804, 5304, 267, 1312, 998, 519, 2834, 570, 3633, 343, 13334, 8756, 630, 12671, 476, 7785, 330, 1004, 264, 543, 950, 621, 729, 11540, 593, 513, 556, 10864, 1228, 8756, 630, 12671, 476, 277, 2929, 1040, 3509, 540, 519, 13588, 11540, 8292, 827, 741, 1995, 563, 10666, 476, 4037, 260, 540, 519, 8292, 8612, 602, 1256, 950, 519, 13588, 4553, 1250, 4287, 585, 5373, 741, 1378, 7851, 267, 789, 1705, 711, 723, 519, 1482, 2164, 267, 630, 528, 693, 2547, 711, 5612, 1040, 901, 19832, 803, 267, 543, 693, 519, 1482, 942, 729, 513, 3787, 5538, 17331, 607, 594, 4941, 621, 547, 960, 585, 4896, 267, 2523, 1507, 1870, 5411, 269, 1924, 594, 2968, 18930, 539, 609, 1946, 563, 3963, 267, 950, 649, 616, 7961, 2299, 29040, 585, 1689, 267, 798, 649, 1205, 12758, 888, 296, 6785, 594, 1185, 17388, 609, 519, 1184, 8885, 1256, 1498, 594, 1185, 29367, 4553, 782, 519, 3268, 269, 769, 476, 1960, 276, 267, 594, 729, 2324, 607, 513, 22639, 855, 594, 4941, 547, 4482, 811, 960, 607, 513, 30973, 1883, 16694, 10584, 269, 2755, 594, 1185, 1185, 930, 1967, 267, 621, 5433, 899, 594, 729, 16246, 513, 1360, 2462, 7823, 607, 594, 6836, 547, 1205, 1870, 689, 3549, 602, 1433, 539, 10529, 899, 803, 269, 594, 9289, 2676, 2108, 24078, 972, 513, 1259, 594, 1223, 17108, 1250, 1378, 1967, 888, 24078, 972, 513, 9836, 1184, 594, 1223, 4019, 547, 3035, 1250, 3853, 267, 930, 2186, 540, 2110, 2759, 18313, 1103, 1250, 960, 607, 513, 22639, 594, 8910, 2938, 1082, 7218, 17108, 741, 1967, 1210, 3308, 11052, 547, 1305, 543, 3035, 3853, 269, 1809, 875, 729, 519, 3308, 11052, 3743, 585, 1018, 729, 8345, 286, 769, 938, 960, 1927, 267, 789, 16545, 741, 1699, 1533, 267, 741, 5551, 1533, 543, 1614, 12050, 3268, 1247, 594, 16668, 5961, 602, 25528, 519, 1184, 269, 3973, 1210, 519, 4786, 607, 513, 3391, 267, 789, 1031, 782, 540, 741, 1702, 267, 1995, 543, 20932, 547, 6430, 799, 540, 519, 1919, 538, 741, 2104, 789, 4941, 547, 957, 593, 269, 2060, 6131, 6612, 267, 789, 2322, 741, 9843, 1524, 543, 3893, 547, 960, 593, 741, 3853, 563, 2026, 789, 6913, 930, 18454, 267, 789, 4797, 547, 10956, 519, 1184, 269, 2311, 1142, 1448, 267, 952, 789, 6976, 3007, 267, 789, 1336, 1007, 2081, 547, 2736, 998, 741, 2591, 547, 1569, 741, 1378, 11300, 2637, 3780, 585, 1256, 3152, 2164, 2394, 789, 8743, 539, 1055, 741, 3853, 835, 676, 835, 563, 4407, 621, 729, 2312, 602, 2870, 3308, 11052, 543, 513, 4786, 547, 3391, 741, 3646, 729, 1271, 267, 594, 3459, 547, 4983, 1018, 5949, 1985, 563, 1432, 941, 789, 2965, 3257, 547, 3035, 741, 3853, 888, 1432, 568, 8345, 950, 649, 1305, 602, 538, 5163, 888, 24078, 972, 606, 3830, 7915, 538, 519, 1184, 602, 3366, 547, 3152, 1967, 888, 4322, 941, 519, 3334, 540, 519, 3830, 602, 14578, 7153, 912, 3412, 698, 1588, 1535, 20932, 1341, 7287, 1535, 5397, 815, 4934, 2492, 547, 519, 12808, 1379, 563, 5472, 540, 519, 3334, 540, 713, 3830, 8604, 547, 581, 2877, 547, 711, 1152, 1305, 513, 3804, 267, 855, 849, 1205, 602, 3804, 269, 594, 22579, 713, 634, 11300, 2637, 3780, 17817, 267, 513, 2241, 267, 17715, 267, 27952, 1184, 4896, 1223, 946, 547, 3035, 2164, 267, 1419, 3564, 741, 3552, 652, 9909, 256, 901, 3830, 267, 950, 29596, 1031, 267, 13462, 707, 5397, 547, 798, 543, 581, 1732, 609, 707, 17916, 2182, 342, 1600, 2702, 547, 1966, 4194, 269, 3962, 1900, 538, 519, 1184, 568, 513, 11573, 602, 596, 666, 1451, 547, 2046, 547, 5352, 23484, 547, 519, 2591, 596, 949, 581, 6849, 538, 707, 1072, 267, 4876, 610, 3347, 543, 6521, 596, 689, 3804, 4259, 547, 3804, 3478, 563, 1607, 3018, 707, 5692, 1058, 596, 3442, 547, 3398, 621, 267, 568, 547, 1589, 1394, 593, 519, 3364, 596, 723, 2141, 1279, 539, 585, 267, 602, 596, 8149, 3054, 547, 1689, 2063, 3018, 543, 547, 2263, 621, 1018, 707, 1272, 786, 1413, 899, 267, 547, 19424, 621, 1175, 513, 2370, 3787, 454, 3963, 568, 621, 1271, 547, 798, 888, 1692, 786, 621, 3142, 1871, 547, 596, 543, 547, 1346, 1472, 596, 267, 1346, 538, 707, 14316, 888, 1692, 786, 596, 1745, 1310, 713, 1689, 814, 1044, 1500, 888, 3674, 972, 513, 5728, 5326, 596, 723, 1044, 1279, 532, 585, 888, 19352, 513, 1582, 773, 540, 3054, 1310, 596, 723, 1500, 519, 1689, 267, 543, 952, 596, 723, 513, 5728, 5326, 267, 1711, 513, 4605, 610, 2328, 513, 1906, 5220, 538, 707, 11300, 2637, 3780, 1411, 4750, 563, 28646, 596, 2141, 4941, 547, 957, 267, 6148, 596, 4941, 547, 1451, 547, 3009, 563, 28646, 596, 1279, 547, 581, 513, 4620, 26519, 610, 1332, 707, 1378, 1426, 563, 28646, 596, 616, 4712, 547, 1745, 2635, 476, 1911, 260, 540, 519, 942, 7498, 2237, 621, 1524, 543, 2721, 513, 1906, 5961, 269, 901, 568, 596, 267, 707, 3364, 1310, 707, 1689, 568, 2347, 563, 2791, 666, 798, 713, 609, 519, 948, 540, 707, 11300, 2637, 3780, 267, 543, 594, 3580, 948, 596, 1932, 269, 6423, 596, 1985, 3018, 2336, 29128, 1985, 942, 267, 5455, 2659, 11300, 2637, 3780, 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 ]
[ 1070, 1496, 275, 267, 476, 276, 1070, 1496, 279, 267, 476, 1321, 264, 9948, 2676, 825, 1496, 1496, 272, 267, 476, 273, 1070, 1496, 276, 267, 476, 277, 22708, 825, 1496, 1496, 275, 267, 476, 1321, 1070, 1496, 1321, 267, 476, 1428, 264, 23378, 6540, 27516, 645, 2562, 14473, 10323, 24086, 454, 18257, 692, 5228, 20312, 624, 1104, 20312, 624, 318, 3847, 267, 20312, 624, 318, 2431, 692, 11907, 815, 1496, 20886, 272, 267, 274, 3910, 1496, 275, 267, 476, 276, 3910, 1496, 279, 267, 476, 1321, 316, 9948, 2676, 825, 1496, 1496, 272, 267, 476, 273, 3910, 1496, 276, 267, 476, 277, 14963, 2676, 825, 1496, 1496, 275, 267, 476, 1321, 3910, 1496, 1321, 267, 476, 1428, 316, 23378, 6540, 454, 3698, 1151, 333, 263, 7741, 267, 1376, 267, 1439, 2187, 825, 23288, 825, 3955, 10094, 616, 15044, 269, 3097, 8931, 825, 23030, 454, 825, 3406, 585, 1376, 4087, 267, 1210, 519, 1439, 2053, 269, 3097, 825, 5221, 649, 666, 1152, 1376, 1318, 1310, 1945, 3323, 269, 3097, 8931, 8931, 8931, 825, 23030, 3406, 585, 1439, 4087, 1210, 1376, 2053, 563, 825, 649, 666, 1152, 1439, 1354, 519, 824, 1919, 723, 3323, 269, 3097, 8931, 825, 952, 649, 1205, 476, 273, 1114, 2418, 689, 1142, 10822, 14142, 267, 3097, 825, 649, 7139, 569, 28994, 2632, 7696, 621, 2676, 825, 6382, 649, 666, 22562, 8931, 825, 952, 922, 1114, 2418, 1797, 972, 568, 606, 8884, 538, 519, 1647, 22562, 825, 23288, 8931, 825, 1376, 307, 1307, 815, 20886, 3336, 314, 271, 316, 585, 4055, 538, 589, 3336, 8266, 316, 585, 589, 3336, 8266, 538, 11623, 2639, 825, 1439, 307, 1307, 815, 20886, 3336, 314, 272, 316, 585, 4055, 538, 589, 3336, 8266, 316, 585, 589, 3336, 8266, 538, 11623, 2639, 8931, 825, 1948, 1820, 2891, 11034, 2053, 267, 1439, 2053, 2580, 1376, 307, 1307, 267, 1439, 307, 1307, 994, 8931, 825, 585, 4055, 296, 11459, 267, 630, 11034, 11742, 267, 1439, 11742, 264, 538, 26246, 18750, 760, 263, 11034, 307, 1307, 267, 1439, 307, 1307, 15892, 13872, 1038, 1948, 645, 529, 624, 2451, 1327, 919, 24450, 1448, 538, 5044, 547, 2226, 15044, 1931, 269, 3097, 1038, 1948, 1656, 2451, 5288, 1318, 5673, 593, 1018, 4523, 952, 596, 1294, 519, 1482, 13366, 454, 1038, 1948, 538, 519, 1592, 269, 3097, 1038, 1948, 20312, 624, 318, 2431, 1797, 1265, 519, 24450, 1448, 547, 519, 1318, 540, 4540, 13366, 454, 1038, 1948, 20312, 624, 318, 3847, 1797, 1265, 519, 24450, 1448, 547, 519, 2451, 540, 4540, 13366, 269, 3097, 13872, 1038, 1376, 299, 665, 815, 20312, 624, 318, 2431, 263, 754, 11742, 267, 1376, 994, 1038, 1439, 299, 665, 815, 20312, 624, 318, 3847, 263, 11034, 11742, 267, 1439, 994, 1038, 1948, 1820, 2891, 4306, 11286, 700, 8016, 267, 13673, 291, 700, 8016, 2580, 1376, 299, 665, 267, 1439, 299, 665, 994, 13872, 8931, 1038, 952, 1376, 299, 665, 2652, 1439, 299, 665, 912, 2018, 2132, 4055, 296, 11459, 1341, 476, 272, 454, 27030, 825, 2132, 910, 272, 692, 13872, 8931, 258, 1058, 2132, 4055, 476, 274, 454, 2745, 4433, 565, 333, 16597, 267, 476, 274, 267, 275, 3738, 264, 1948, 16493, 476, 272, 3097, 2745, 4433, 565, 333, 16597, 267, 476, 274, 267, 276, 3738, 264, 1948, 16493, 476, 273, 3097, 2745, 4433, 565, 333, 16597, 267, 476, 273, 267, 276, 3738, 264, 1948, 16493, 476, 273, 476, 7531, 2745, 4433, 565, 333, 16597, 267, 476, 276, 267, 280, 3738, 264, 1948, 7024, 910, 272, 3097, 2745, 4433, 565, 333, 16597, 267, 476, 272, 267, 275, 3738, 264, 1948, 7024, 476, 274, 692, 2745, 4433, 565, 333, 16597, 267, 476, 1321, 267, 1428, 3738, 264, 8528, 2745, 4433, 565, 333, 16597, 267, 476, 274, 267, 1724, 3738, 264, 1948, 16493, 910, 272, 454, 2745, 4433, 565, 333, 16597, 267, 476, 272, 267, 276, 3738, 264, 1948, 1058, 1820, 910, 272, 22562, 8931, 672, 19638, 672, 692, 0, 18411, 2237, 513, 1505, 547, 1265, 519, 4908, 540, 1624, 675, 2325, 540, 1022, 2016, 2262, 538, 513, 1433, 563, 1432, 952, 649, 941, 4881, 713, 620, 2998, 2789, 2053, 286, 9847, 1684, 930, 840, 30112, 547, 1118, 621, 5488, 744, 263, 272, 264, 1569, 585, 1022, 2262, 454, 18257, 692, 1504, 815, 630, 834, 29919, 26213, 791, 4680, 1100, 7182, 593, 519, 1297, 540, 25135, 32718, 596, 666, 1491, 269, 634, 1152, 4052, 834, 3738, 1341, 27210, 825, 630, 834, 3916, 2787, 568, 12210, 2230, 593, 707, 3984, 281, 1142, 25135, 14653, 8637, 519, 1533, 540, 519, 5691, 3684, 257, 3738, 1341, 27210, 1038, 9497, 663, 3976, 26328, 930, 12210, 2230, 269, 630, 8450, 519, 1985, 3296, 585, 3877, 593, 1018, 4010, 568, 257, 3738, 1341, 27210, 2018, 9497, 560, 1819, 538, 513, 25135, 14653, 4700, 257, 3738, 1341, 27210, 3546, 9497, 1993, 25135, 32718, 269, 1635, 19620, 513, 25135, 14653, 267, 596, 979, 1394, 630, 528, 4464, 264, 538, 942, 281, 519, 1699, 1533, 257, 3738, 1341, 27210, 7386, 9497, 273, 269, 1411, 666, 11177, 513, 25135, 14653, 676, 1318, 12641, 10107, 593, 1022, 25135, 14653, 596, 723, 3144, 538, 519, 1592, 257, 3738, 1341, 27210, 13376, 9497, 338, 333, 2355, 14653, 729, 3144, 269, 275, 257, 476, 3738, 1341, 27210, 23351, 9497, 9616, 281, 10163, 1681, 513, 25135, 14653, 786, 1860, 519, 5691, 2182, 11479, 602, 616, 4448, 547, 707, 257, 3738, 1341, 27210, 4449, 3546, 9497, 1993, 519, 3684, 568, 4503, 267, 543, 519, 3684, 568, 17468, 547, 519, 3169, 1533, 621, 729, 538, 950, 519, 257, 3738, 1341, 27210, 4449, 7386, 9497, 7474, 782, 6119, 602, 723, 1044, 2813, 2094, 519, 25135, 14653, 543, 782, 824, 3758, 2242, 786, 581, 257, 3738, 1341, 27210, 4449, 13376, 9497, 30470, 267, 607, 519, 3003, 1533, 540, 519, 5691, 2182, 5397, 786, 581, 26871, 1540, 607, 1134, 269, 901, 1797, 849, 257, 3738, 1341, 27210, 14030, 2018, 9497, 331, 739, 269, 769, 1931, 547, 2061, 971, 1239, 2530, 1247, 1869, 1818, 946, 540, 519, 25135, 14653, 4183, 267, 621, 257, 3738, 1341, 27210, 14030, 3546, 9497, 529, 2009, 547, 1039, 513, 2034, 2182, 5397, 538, 2328, 28443, 7154, 1210, 519, 966, 26213, 10048, 720, 257, 3738, 1341, 27210, 14030, 7386, 9497, 5793, 2183, 543, 946, 621, 547, 4558, 707, 1239, 269, 1306, 2328, 28443, 2182, 11479, 616, 711, 3769, 538, 257, 3738, 1341, 27210, 14030, 13376, 9497, 338, 333, 2355, 32718, 267, 789, 2611, 796, 5306, 1229, 950, 513, 3684, 568, 26871, 1540, 269, 6423, 3184, 476, 276, 269, 275, 267, 7981, 257, 3738, 1341, 27210, 14030, 23351, 9497, 13548, 2328, 12331, 267, 2985, 476, 5952, 585, 3877, 1701, 3738, 1341, 27210, 14030, 4449, 3546, 9497, 2414, 2057, 9561, 519, 1699, 1533, 950, 19620, 513, 25135, 14653, 267, 596, 666, 1711, 513, 1007, 25135, 14653, 257, 3738, 1341, 27210, 14030, 4449, 7386, 834, 29592, 519, 11177, 1701, 3738, 1341, 9497, 3528, 19620, 606, 4505, 25135, 14653, 543, 2921, 544, 257, 3738, 4297, 4297, 4297, 4297, 4297, 4297, 4297, 11723, 5035, 16163, 518, 10031, 825, 1219, 6449, 8181, 9191, 1345, 267, 2262, 2187, 1038, 1582, 269, 5320, 815, 2262, 454, 1038, 1582, 8807, 15968, 815, 1582, 29644, 27182, 2020, 825, 1219, 1293, 4311, 267, 2262, 2187, 1038, 1954, 336, 815, 31460, 1038, 2262, 815, 2262, 21858, 4590, 1038, 585, 1775, 538, 2262, 912, 2018, 1954, 336, 5157, 316, 815, 476, 271, 692, 1038, 585, 1775, 538, 2262, 912, 2018, 1954, 336, 5157, 316, 6834, 476, 272, 454, 1038, 2132, 1954, 336, 692, 825, 1219, 2262, 15575, 4311, 267, 2262, 2187, 1038, 2132, 1582, 8807, 15968, 10947, 27182, 2020, 5320, 303, 32242, 815, 16163, 518, 27182, 284, 1504, 994, 2745, 27182, 303, 32242, 269, 5320, 15575, 2891, 1492, 27363, 2745, 27182, 303, 32242, 8807, 15968, 264, 0, 18411, 4037, 269, 23037, 27413, 454, 8469, 1756, 692, 28178, 273, 692, 23417, 692, 11754, 547, 5903, 692, 18704, 454, 11693, 606, 5044, 609, 562, 3615, 11954, 2699, 267, 3043, 610, 4544, 267, 4990, 873, 538, 268, 2897, 865, 602, 3615, 540, 519, 1482, 2681, 616, 11105, 267, 609, 519, 4778, 538, 519, 1931, 2699, 267, 3043, 543, 4544, 780, 2080, 267, 649, 786, 946, 519, 9981, 476, 271, 267, 476, 272, 267, 543, 476, 273, 547, 2099, 519, 2681, 2699, 267, 3043, 267, 543, 4544, 6606, 780, 9616, 281, 1411, 616, 711, 15475, 547, 946, 519, 5399, 781, 4990, 1599, 585, 713, 1966, 780, 7078, 1384, 19152, 281, 1496, 273, 267, 271, 267, 273, 267, 272, 267, 272, 267, 271, 2639, 20479, 281, 1496, 271, 267, 271, 267, 272, 267, 272, 267, 273, 267, 273, 2639, 10287, 909, 1384, 288, 2864, 2786, 4464, 3070, 568, 513, 1079, 1790, 817, 5690, 1210, 10203, 4990, 563, 5575, 267, 621, 4733, 519, 5044, 10203, 1297, 540, 476, 271, 781, 267, 476, 272, 781, 267, 543, 476, 273, 781, 267, 1287, 7670, 1679, 5044, 609, 2698, 1297, 540, 476, 271, 781, 267, 1287, 476, 272, 781, 543, 4553, 676, 476, 273, 781, 563, 27745, 596, 2097, 909, 609, 513, 835, 1790, 817, 5690, 1210, 1152, 3586, 2230, 888, 18257, 692, 258, 31253, 12164, 4306, 19611, 9501, 19781, 476, 274, 18161, 2562, 9898, 9338, 294, 3036, 18952, 300, 692, 5035, 8827, 912, 825, 1219, 4990, 8624, 832, 4311, 267, 15358, 281, 5903, 27776, 8079, 9847, 7183, 912, 1038, 23288, 1038, 2422, 476, 274, 31452, 2676, 1038, 519, 1101, 543, 2063, 835, 1642, 574, 527, 519, 2953, 5311, 540, 476, 271, 338, 543, 476, 273, 338, 593, 519, 2451, 543, 1318, 2427, 563, 1038, 9338, 310, 17751, 306, 570, 6938, 309, 8991, 292, 5990, 631, 2839, 291, 4041, 18161, 2562, 9898, 8028, 4629, 7704, 267, 6730, 17335, 4338, 5442, 15674, 2910, 305, 305, 3918, 6311, 623, 5308, 296, 16739, 269, 18040, 2894, 9358, 590, 7417, 589, 476, 272, 267, 12164, 2316, 301, 16604, 269, 3097, 13872, 1038, 23288, 1038, 1775, 815, 476, 271, 454, 1038, 561, 815, 476, 271, 1363, 3097, 1038, 795, 815, 7003, 25225, 264, 910, 476, 272, 28329, 1038, 1247, 561, 11203, 7003, 25225, 2187, 2018, 952, 15358, 314, 331, 316, 2652, 476, 272, 912, 3546, 561, 6834, 476, 272, 454, 2018, 8640, 15358, 314, 331, 316, 2652, 476, 271, 543, 1775, 2652, 561, 912, 3546, 561, 6834, 476, 272, 454, 2018, 8640, 15358, 314, 331, 316, 2652, 476, 271, 912, 3546, 15358, 314, 331, 3910, 15358, 5157, 316, 815, 15358, 5157, 3910, 15358, 314, 331, 2639, 3546, 1775, 6834, 476, 272, 3097, 2018, 8640, 15358, 314, 331, 316, 2652, 476, 273, 543, 561, 13843, 795, 912, 3546, 561, 6834, 476, 272, 454, 2018, 8640, 15358, 314, 331, 316, 2652, 476, 273, 912, 3546, 15358, 314, 331, 3910, 15358, 14728, 316, 815, 15358, 14728, 3910, 15358, 314, 331, 2639, 3546, 795, 20699, 476, 272, 454, 1038, 2132, 15358, 454, 672, 692, 258, 595, 4041, 3198, 2207, 25663, 28513, 267, 667, 7473, 6224, 24315, 2316, 3582, 11550, 25770, 300, 267, 23333, 3036, 3633, 18161, 19860, 8991, 267, 589, 25605, 476, 274, 18161, 19860, 8991, 692, 18411, 10190, 1946, 596, 666, 2333, 3043, 676, 476, 272, 538, 519, 1101, 2013, 267, 3097, 6011, 666, 596, 581, 2386, 519, 835, 596, 1205, 676, 2220, 6260, 568, 476, 272, 2496, 310, 14176, 27114, 25723, 16038, 6573, 299, 9281, 312, 8668, 8946, 2969, 631, 308, 6224, 269, 3097, 9915, 21822, 744, 7473, 5990, 5442, 309, 2752, 296, 3198, 4811, 589, 25605, 9474, 27516, 281, 8528, 333, 4548, 314, 271, 281, 1042, 316, 815, 476, 271, 267, 15358, 314, 1042, 281, 19009, 316, 815, 476, 272, 267, 15358, 314, 19009, 281, 19990, 1341, 476, 272, 316, 815, 796, 5035, 1881, 267, 15358, 314, 19990, 1341, 476, 272, 281, 316, 815, 476, 273, 563, 763, 3009, 568, 2854, 865, 602, 2901, 630, 1042, 2999, 3043, 543, 15358, 314, 1042, 316, 2652, 476, 272, 264, 610, 630, 1042, 2652, 3043, 264, 693, 782, 2053, 563, 13914, 827, 519, 1101, 942, 950, 3043, 24508, 689, 2699, 269, 3097, 6546, 1152, 4523, 950, 15358, 314, 19009, 316, 2652, 476, 272, 267, 865, 1310, 519, 3043, 6834, 476, 272, 267, 3097, 933, 723, 15358, 314, 1042, 316, 2652, 476, 272, 267, 543, 5469, 602, 15358, 314, 1042, 316, 786, 3136, 547, 581, 476, 272, 607, 1279, 607, 3097, 1042, 11203, 3043, 269, 901, 568, 1317, 2699, 1152, 4991, 1213, 7757, 538, 519, 1101, 2013, 3097, 25225, 314, 19009, 316, 2652, 476, 271, 1070, 865, 649, 917, 602, 649, 616, 2220, 6260, 15358, 314, 1042, 316, 2652, 476, 272, 609 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 4959, 14110, 2894, 7024, 13138, 16604, 585, 1256, 5991, 3518, 1229, 2418, 269, 1403, 519, 1871, 568, 606, 9642, 1297, 267, 4959, 14110, 2894, 7024, 674, 3201, 10345, 269, 589, 1871, 602, 568, 711, 25948, 786, 1267, 538, 519, 1948, 309, 3201, 16604, 5470, 269, 1635, 959, 15635, 908, 8918, 2418, 267, 1152, 519, 8870, 6712, 540, 519, 1871, 786, 581, 11117, 780, 1012, 4959, 14110, 2894, 9577, 1900, 676, 1900, 11461, 1935, 692, 30022, 10839, 11116, 26008, 2507, 692, 2710, 711, 1577, 1018, 596, 3112, 798, 15936, 609, 1018, 596, 666, 798, 269, 3627, 8381, 523, 692, 11847, 18677, 676, 8890, 6776, 3933, 330, 1700, 692, 2162, 8943, 3070, 692, 3499, 284, 3041, 14110, 2894, 263, 275, 264, 12262, 7024, 13138, 16604, 454, 284, 3041, 14110, 2894, 263, 274, 264, 12262, 7024, 674, 3201, 10345, 454, 284, 3041, 14110, 2894, 263, 271, 264, 12262, 7024, 13138, 16604, 8199, 3499, 284, 3041, 14110, 2894, 263, 275, 269, 272, 264, 12262, 7024, 13138, 16604, 454, 284, 3041, 14110, 2894, 263, 271, 269, 3451, 264, 12262, 7024, 13138, 16604, 454, 284, 3041, 14110, 2894, 263, 278, 269, 275, 264, 12262, 7024, 674, 3201, 10345, 7884, 2162, 19243, 6913, 1310, 7598, 519, 3009, 692, 2252, 519, 1871, 568, 711, 513, 25948, 1871, 267, 10323, 309, 2894, 786, 2132, 519, 1948, 309, 3201, 16604, 5470, 780, 14818, 1152, 8870, 13980, 540, 2418, 267, 8918, 2418, 616, 959, 15635, 730, 780, 2252, 596, 1616, 547, 2638, 585, 9642, 2338, 267, 596, 1058, 946, 519, 4959, 7495, 291, 1599, 269, 0, 21010, 2032, 20214, 1384, 288, 3113, 568, 4448, 952, 972, 568, 513, 2619, 538, 519, 3113, 1063, 1022, 1079, 14622, 269, 476, 1109, 2005, 568, 737, 268, 8588, 952, 621, 3788, 4448, 952, 1022, 737, 14622, 616, 6569, 269, 476, 1109, 289, 846, 1696, 620, 269, 1496, 289, 5960, 4817, 316, 4951, 602, 1022, 5690, 585, 32750, 606, 9018, 13807, 534, 541, 3113, 538, 513, 1448, 1305, 814, 942, 6988, 693, 2547, 744, 3799, 2845, 562, 1040, 476, 1109, 1432, 649, 1616, 547, 798, 1631, 568, 1397, 602, 952, 519, 3113, 568, 30890, 610, 814, 513, 2759, 591, 23753, 630, 328, 4318, 269, 568, 711, 476, 273, 268, 8588, 264, 1287, 649, 666, 7561, 30834, 728, 519, 1966, 540, 32750, 519, 3113, 883, 1079, 610, 811, 4130, 1016, 3491, 21793, 780, 1892, 1403, 519, 3113, 568, 30890, 267, 649, 666, 4990, 519, 1448, 1305, 676, 5086, 609, 930, 3544, 1448, 630, 7474, 568, 711, 538, 519, 1448, 1305, 1070, 15652, 519, 1448, 1305, 14013, 267, 543, 7842, 519, 3113, 781, 4448, 3334, 538, 519, 851, 1431, 540, 519, 1448, 1305, 780, 1892, 1403, 519, 3113, 568, 4448, 855, 814, 513, 2759, 591, 23753, 642, 267, 649, 666, 4990, 519, 1448, 1305, 676, 5086, 609, 930, 1448, 533, 267, 15652, 519, 1448, 1305, 630, 1410, 6984, 606, 3665, 1448, 533, 264, 14013, 267, 543, 7842, 519, 2759, 3334, 540, 538, 519, 851, 1431, 267, 11836, 873, 693, 533, 780, 13828, 540, 891, 20214, 666, 581, 2944, 538, 744, 3799, 2845, 562, 264, 942, 267, 865, 789, 786, 711, 1689, 519, 942, 6988, 540, 519, 5690, 267, 2094, 621, 1590, 1491, 693, 2547, 744, 3799, 2845, 562, 264, 942, 2907, 780, 4131, 781, 2015, 835, 3803, 5786, 269, 476, 1109, 22428, 649, 666, 7842, 31062, 9018, 13807, 534, 541, 11708, 7561, 630, 7474, 568, 267, 1100, 8728, 666, 581, 3773, 3330, 547, 519, 3113, 952, 621, 568, 547, 2611, 9018, 13807, 534, 541, 1040, 476, 1109, 10190, 2016, 1022, 9018, 13807, 534, 541, 3113, 267, 649, 666, 1039, 8728, 547, 621, 2394, 621, 568, 31062, 267, 7842, 519, 4611, 31062, 3113, 267, 1287, 4894, 782, 3773, 8728, 689, 519, 32750, 269, 476, 1109, 26139, 267, 713, 14842, 666, 581, 2944, 538, 744, 3799, 2845, 562, 264, 942, 267, 865, 649, 991, 1152, 6161, 6000, 609, 31062, 11708, 780, 763, 2352, 851, 267, 1287, 267, 568, 32750, 31062, 476, 273, 268, 8588, 9018, 13807, 534, 541, 11708, 7561, 269, 476, 1109, 2414, 798, 713, 267, 649, 786, 946, 1945, 1572, 606, 630, 337, 29679, 9984, 28256, 4120, 267, 519, 1883, 547, 4466, 938, 7842, 26204, 269, 476, 1109, 5804, 1934, 593, 538, 267, 649, 786, 8263, 938, 9018, 13807, 534, 541, 11708, 616, 31062, 543, 476, 273, 268, 8588, 780, 9616, 602, 538, 513, 31062, 9018, 13807, 534, 541, 3113, 267, 1142, 22112, 3068, 568, 513, 6906, 269, 476, 1109, 9616, 849, 602, 538, 513, 476, 273, 268, 8588, 9018, 13807, 534, 541, 3113, 267, 519, 30898, 15903, 3068, 568, 513, 4783, 2094, 621, 3568, 1100, 2759, 3200, 1182, 269, 476, 1109, 1607, 1797, 602, 513, 2786, 11060, 32750, 540, 513, 31062, 9018, 13807, 534, 541, 3113, 568, 6697, 547, 513, 2468, 836, 1637, 540, 513, 20372, 593, 519, 1448, 1305, 780, 9377, 1456, 630, 337, 29679, 9984, 28256, 9201, 1384, 763, 10206, 540, 606, 630, 337, 29679, 9984, 28256, 4120, 6818, 585, 1312, 31062, 9018, 13807, 534, 541, 11708, 543, 1448, 5036, 780, 1103, 606, 9018, 13807, 534, 541, 3113, 630, 8145, 1897, 267, 1142, 22112, 3068, 568, 513, 6906, 2094, 649, 8263, 519, 3113, 568, 31062, 1070, 606, 630, 337, 29679, 9984, 28256, 4120, 568, 513, 3068, 538, 519, 3113, 609, 693, 2547, 835, 6316, 593, 519, 30898, 15903, 3068, 971, 602, 18111, 1154, 519, 14622, 540, 519, 6906, 11912, 519, 3113, 883, 1079, 9018, 13807, 534, 541, 11708, 540, 2450, 678, 543, 521, 269, 476, 1109, 9616, 602, 678, 543, 521, 1590, 581, 1875, 24308, 267, 543, 678, 266, 338, 815, 562, 268, 274, 780, 1103, 713, 1383, 267, 1169, 6906, 609, 606, 6316, 593, 519, 9018, 3068, 568, 3254, 267, 2059, 609, 922, 7222, 2418, 540, 678, 543, 521, 780, 1103, 513, 1448, 1305, 267, 606, 630, 337, 29679, 9984, 28256, 4120, 568, 513, 6906, 18529, 29582, 971, 602, 519, 1739, 3180, 1384, 1892, 513, 543, 536, 1312, 9114, 593, 519, 1448, 1305, 781, 23756, 26083, 563, 1892, 634, 9703, 540, 18529, 29582, 3568, 1100, 824, 1448, 538, 519, 1448, 563, 1892, 1703, 568, 513, 1899, 602, 10596, 998, 1312, 524, 543, 519, 1899, 705, 971, 602, 27195, 513, 267, 536, 267, 543, 524, 267, 678, 2798, 616, 593, 519, 834, 2431, 257, 2427, 540, 519, 1899, 543, 521, 2798, 616, 593, 519, 824, 2427, 540, 519, 1899, 563, 9616, 602, 1586, 267, 678, 543, 521, 1590, 581, 1875, 24308, 543, 741, 2040, 1590, 581, 562, 268, 274, 780, 1103, 713, 1383, 267, 519, 6906, 3254, 568, 513, 630, 278, 267, 271, 9984, 28256, 4120, 267, 513, 630, 277, 267, 272, 9984, 28256, 4120, 267, 513, 630, 276, 267, 273, 9984, 28256, 4120, 267, 513, 630, 275, 267, 274, 9984, 28256, 4120, 267, 543, 513, 630, 274, 267, 275, 9984, 28256, 4120, 269, 476, 1109, 19284, 630, 337, 29679, 9984, 28256, 9201, 538, 11708, 267, 513, 2582, 6906, 538, 513, 1448, 1305, 666, 581, 606, 630, 337, 29679, 9984, 28256, 4120, 585, 1896, 1114, 2418, 540, 678, 543, 521, 269, 0, 258, 1215, 798, 596, 11753, 703, 630, 343, 317, 274, 268, 275, 343, 266, 273, 264, 11459, 2496, 15037, 476, 276, 267, 476, 1001, 278, 692, 259, 346, 343, 8703, 275, 348, 1315, 476, 275, 910, 476, 273, 2715, 343, 8703, 273, 348, 1341, 476, 273, 1535, 1341, 595, 1547, 6911, 2971, 19247, 1384, 13434, 718, 602, 4399, 842, 2715, 343, 8703, 333, 348, 1422, 9507, 346, 11459, 348, 815, 2715, 343, 8703, 333, 1341, 476, 272, 348, 1315, 1422, 3847, 3799, 1341, 476, 272, 9368, 264, 1341, 2715, 322, 13925, 272, 348, 2073, 562, 1422, 928, 910, 476, 272, 2073, 259, 663, 267, 585, 513, 3586, 1269, 330, 8961, 692, 7445, 842, 1422, 3847, 25208, 535, 1422, 3847, 3287, 9368, 264, 1422, 10975, 575, 1422, 3847, 3287, 9368, 9385, 2431, 316, 1422, 9507, 346, 11459, 348, 815, 737, 1422, 842, 535, 1422, 3847, 3287, 9368, 264, 1422, 9507, 346, 11459, 348, 1422, 10975, 1422, 842, 575, 1422, 3847, 3287, 9368, 264, 1422, 9507, 346, 11459, 348, 1341, 2715, 322, 13925, 273, 269, 10592, 17798, 267, 519, 556, 336, 323, 269, 6715, 1537, 259, 284, 1422, 842, 2715, 343, 8703, 274, 348, 1422, 9507, 346, 11459, 348, 910, 476, 275, 1422, 842, 2715, 343, 8703, 272, 348, 1422, 9507, 346, 11459, 348, 1341, 476, 273, 1422, 842, 2715, 343, 8703, 271, 348, 1422, 9507, 346, 11459, 10592, 259, 284, 2715, 343, 8703, 274, 1341, 476, 272, 348, 1315, 1422, 3847, 263, 274, 1341, 476, 272, 9368, 264, 910, 476, 275, 1422, 3847, 20719, 343, 8703, 273, 348, 1315, 476, 273, 9368, 264, 1341, 476, 273, 1535, 6911, 259, 284, 2715, 343, 8703, 275, 348, 1315, 476, 275, 910, 476, 273, 2715, 343, 8703, 273, 348, 1341, 476, 273, 1535, 1341, 595, 1547, 259, 0, 1012, 715, 28692, 692, 1432, 729, 519, 8653, 540, 519, 13091, 286, 4208, 1810, 1405, 596, 1867, 519, 8653, 540, 1142, 13091, 286, 1215, 1281, 519, 8653, 1860, 519, 9588, 2496, 763, 8653, 540, 606, 13091, 568, 1644, 547, 922, 9588, 855, 711, 538, 513, 9985, 7453, 2631, 269, 1703, 616, 1079, 2081, 547, 1589, 827, 519, 8653, 540, 606, 13091, 269, 634, 1101, 568, 519, 3259, 540, 942, 621, 3217, 585, 519, 13337, 547, 28230, 543, 519, 2034, 568, 519, 3259, 540, 942, 24373, 568, 5433, 693, 1022, 2016, 1448, 630, 324, 3052, 269, 950, 2576, 3081, 834, 296, 5433, 621, 21199, 585, 476, 1015, 7643, 257, 789, 616, 1818, 513, 3948, 827, 519, 8653, 540, 24373, 1040, 634, 8653, 540, 13337, 28230, 568, 1644, 547, 1312, 875, 1279, 621, 3217, 585, 513, 5544, 593, 519, 13337, 547, 17277, 630, 6518, 4667, 547, 581, 3833, 3728, 264, 543, 519, 942, 621, 3217, 28230, 547, 8399, 2059, 513, 13337, 780, 2791, 723, 547, 1589, 540, 606, 13091, 607, 606, 1858, 593, 513, 13337, 2864, 982, 1175, 513, 1448, 269, 898, 6238, 693, 513, 1448, 543, 1287, 519, 28230, 9070, 919, 2059, 519, 13337, 693, 1472, 476, 273, 12919, 610, 865, 829, 2034, 269, 1924, 519, 3677, 519, 1858, 540, 519, 13337, 602, 8297, 696, 999, 267, 519, 3476, 519, 8653, 540, 519, 13091, 269, 1656, 3677, 9588, 16767, 723, 3677, 13337, 2127, 269, 1924, 972, 568, 513, 2489, 2078, 1063, 8653, 543, 9588, 780, 763, 2601, 649, 1810, 1405, 1592, 713, 4990, 540, 8653, 593, 519, 10765, 32495, 820, 1357, 4609, 568, 602, 23115, 856, 875, 1279, 606, 13091, 3576, 547, 28230, 568, 1869, 513, 1382, 1788, 602, 3217, 930, 942, 2864, 982, 606, 12747, 1184, 269, 634, 8653, 540, 24373, 693, 513, 1448, 593, 519, 2666, 5673, 593, 875, 1279, 519, 13091, 3576, 547, 2049, 543, 875, 519, 6329, 1847, 998, 519, 2666, 547, 602, 1448, 269, 1403, 972, 616, 513, 2603, 540, 18759, 543, 6949, 1734, 2282, 519, 1448, 630, 1721, 3236, 538, 513, 24348, 14860, 264, 519, 24373, 786, 2063, 3476, 269, 769, 606, 1858, 1510, 6949, 1734, 630, 1721, 3236, 593, 513, 2182, 3625, 540, 4224, 264, 621, 786, 2063, 513, 10156, 942, 780, 2791, 849, 723, 547, 14574, 513, 8653, 540, 24373, 936, 513, 2016, 1377, 269, 1284, 666, 2965, 3713, 519, 24373, 689, 519, 1360, 4102, 16767, 585, 4374, 1310, 789, 2049, 855, 1100, 835, 1131, 2161, 602, 789, 5433, 621, 585, 602, 1279, 269, 1924, 519, 8653, 540, 24373, 568, 513, 1360, 1950, 1888, 269, 1284, 2965, 798, 946, 519, 8653, 540, 24373, 547, 7447, 519, 9588, 585, 930, 1507, 16767, 269, 1403, 596, 1294, 513, 834, 300, 323, 257, 610, 834, 323, 4851, 9588, 257, 593, 519, 26257, 32495, 820, 1357, 335, 1137, 267, 713, 568, 1018, 814, 1044, 2944, 780, 2690, 606, 7778, 1294, 13804, 3363, 269, 901, 568, 4990, 540, 899, 2348, 2576, 586, 749, 267, 10203, 519, 20192, 657, 267, 543, 1287, 21501, 875, 10978, 789, 586, 8215, 689, 875, 1082, 20192, 657, 596, 1223, 5873, 269, 7053, 267, 519, 3441, 547, 513, 2016, 2497, 786, 4096, 1312, 593, 519, 17931, 540, 519, 24373, 543, 922, 8653, 269, 1215, 547, 1655, 9192, 891, 9424, 883, 606, 7447, 540, 519, 2179, 540, 3441, 568, 5571, 1382, 269, 630, 4186, 30744, 676, 29871, 7812, 2020, 30475, 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 ]
[ 521, 266, 305, 11924, 272, 348, 681, 7807, 2765, 23334, 2410, 290, 700, 521, 317, 273, 266, 290, 681, 521, 266, 272, 15732, 1892, 1223, 596, 1175, 2491, 513, 3787, 875, 596, 14458, 519, 7961, 25958, 5955, 8520, 630, 21163, 476, 272, 21663, 1215, 1705, 596, 2097, 909, 609, 602, 6824, 286, 3733, 3355, 813, 528, 778, 3884, 1405, 899, 602, 693, 782, 1862, 594, 949, 711, 581, 5432, 609, 602, 1935, 269, 4495, 602, 781, 5587, 1881, 594, 3513, 3398, 707, 2626, 4239, 476, 1789, 1412, 1704, 693, 476, 1691, 281, 1839, 454, 1892, 6423, 519, 3296, 1412, 293, 3975, 3724, 17583, 262, 693, 18862, 4812, 2593, 270, 31553, 318, 17882, 338, 270, 16634, 594, 946, 602, 538, 3268, 476, 272, 543, 476, 274, 269, 4239, 476, 1789, 1412, 1704, 693, 476, 1691, 281, 3374, 454, 1892, 6733, 693, 1900, 476, 272, 264, 538, 1250, 2022, 269, 23893, 1267, 563, 1700, 1109, 299, 341, 310, 454, 12914, 476, 1789, 1412, 1704, 693, 476, 1691, 281, 4343, 692, 763, 5650, 596, 616, 1739, 568, 2953, 269, 1809, 972, 568, 513, 12161, 538, 519, 8174, 566, 269, 2659, 476, 274, 6113, 1900, 568, 4636, 269, 898, 814, 547, 581, 1384, 2330, 309, 4433, 6661, 305, 13375, 8987, 343, 318, 273, 21702, 23334, 2410, 299, 338, 23180, 2765, 12757, 3709, 2641, 12453, 338, 4153, 2431, 264, 9681, 3383, 952, 596, 8399, 609, 602, 596, 786, 1439, 909, 609, 1945, 899, 3230, 309, 4433, 6661, 305, 13375, 8987, 343, 318, 273, 21702, 23334, 2410, 299, 338, 23180, 3847, 7268, 2765, 346, 308, 4433, 20972, 12336, 32757, 2765, 12757, 318, 273, 2410, 12336, 4153, 2431, 9385, 2765, 346, 272, 2410, 299, 338, 4153, 2431, 9385, 32002, 272, 9681, 1432, 649, 1616, 568, 4399, 2765, 346, 309, 4433, 20972, 308, 4433, 264, 4151, 855, 649, 723, 1269, 309, 4433, 7751, 538, 2474, 540, 1269, 308, 4433, 7751, 543, 1269, 343, 318, 273, 10608, 1924, 649, 723, 547, 2099, 1269, 343, 318, 273, 259, 2901, 538, 2474, 540, 1269, 308, 4433, 7751, 610, 1269, 309, 4433, 30879, 3371, 267, 621, 568, 2653, 547, 2099, 1269, 343, 318, 273, 259, 538, 2474, 540, 1269, 309, 4433, 7751, 3230, 343, 318, 273, 7807, 2765, 346, 309, 4433, 20972, 305, 15732, 296, 7058, 596, 666, 798, 519, 6967, 269, 15240, 3482, 585, 1269, 343, 318, 273, 259, 538, 3830, 18159, 272, 29408, 1491, 782, 519, 1269, 309, 4433, 7751, 2474, 547, 835, 2427, 543, 1287, 1265, 1269, 309, 4433, 8358, 308, 4433, 30879, 1411, 786, 1439, 909, 538, 519, 2838, 4082, 780, 1892, 1656, 875, 798, 594, 3136, 1310, 713, 286, 594, 1745, 899, 713, 568, 1869, 1360, 2484, 2476, 689, 519, 4890, 2626, 4239, 476, 3066, 1412, 1704, 693, 476, 279, 281, 2918, 454, 1892, 1772, 621, 2009, 602, 596, 1500, 513, 12161, 286, 594, 1589, 596, 29709, 519, 1379, 540, 476, 273, 538, 3830, 272, 267, 26759, 4399, 2765, 23334, 2410, 338, 317, 273, 299, 4151, 594, 1705, 1945, 2147, 547, 1018, 596, 6700, 281, 708, 326, 584, 2593, 270, 11586, 304, 306, 311, 275, 333, 8616, 267, 972, 568, 1869, 1945, 11234, 594, 1589, 12341, 11214, 1862, 4239, 476, 3066, 1412, 1704, 693, 476, 1321, 281, 4343, 454, 1892, 7711, 299, 9646, 313, 324, 298, 788, 527, 601, 8170, 294, 9445, 339, 19322, 333, 8726, 596, 1705, 568, 2953, 907, 4849, 602, 538, 2063, 476, 273, 1900, 596, 14406, 2942, 1129, 585, 476, 272, 560, 2165, 538, 1318, 1688, 2427, 540, 3830, 907, 594, 1810, 1406, 1589, 1775, 14406, 513, 1379, 540, 476, 273, 269, 1403, 596, 1491, 856, 519, 1269, 338, 259, 602, 779, 16611, 609, 595, 267, 621, 3587, 1269, 338, 317, 273, 259, 907, 594, 1589, 938, 7215, 616, 1482, 4849, 585, 519, 2942, 1129, 4239, 476, 3066, 1412, 1704, 693, 476, 1321, 281, 7906, 692, 272, 4700, 3399, 609, 519, 1034, 1318, 1507, 8520, 543, 4019, 519, 8106, 5955, 4542, 1384, 295, 272, 284, 2690, 1189, 3625, 14370, 272, 266, 31467, 2744, 6661, 263, 272, 4882, 8358, 314, 272, 23444, 272, 4882, 7565, 305, 13624, 13580, 284, 272, 270, 314, 338, 266, 305, 13624, 316, 16317, 273, 4700, 29799, 519, 1507, 8520, 609, 670, 272, 780, 274, 4700, 3767, 596, 723, 1614, 7161, 538, 3126, 8108, 519, 4464, 2619, 585, 519, 1804, 8520, 269, 2353, 1614, 3625, 4483, 1187, 551, 1231, 616, 547, 581, 16611, 269, 3767, 910, 4019, 519, 1482, 5786, 6240, 585, 519, 1804, 8520, 630, 12890, 3724, 4542, 264, 607, 538, 1900, 476, 272, 6393, 275, 4700, 634, 1267, 540, 1900, 476, 274, 264, 814, 547, 581, 16611, 609, 630, 272, 14727, 264, 543, 834, 305, 6231, 1607, 568, 519, 3803, 3070, 1759, 593, 3625, 6516, 5786, 2553, 780, 2080, 781, 1776, 1935, 2059, 519, 3515, 596, 3323, 630, 3602, 594, 5372, 1269, 311, 318, 273, 259, 609, 4399, 2765, 346, 309, 318, 271, 2410, 305, 4151, 543, 1205, 609, 519, 1292, 3830, 6393, 2330, 309, 318, 271, 284, 305, 1422, 2765, 346, 272, 2410, 338, 4153, 3847, 24560, 2765, 346, 272, 2410, 299, 4153, 2765, 346, 272, 2410, 338, 4153, 3847, 7268, 2765, 346, 272, 2410, 290, 348, 308, 10559, 2765, 346, 272, 2410, 290, 4153, 2765, 346, 309, 318, 271, 2410, 305, 4153, 2431, 9984, 315, 2765, 23334, 2410, 299, 4153, 2765, 346, 309, 318, 271, 2410, 305, 4153, 2431, 316, 9681, 5475, 713, 267, 621, 781, 1175, 15821, 12879, 780, 22091, 663, 856, 519, 2474, 780, 2330, 309, 318, 271, 7807, 2765, 23334, 772, 2410, 290, 700, 521, 317, 273, 32757, 2765, 346, 309, 318, 271, 2410, 290, 700, 521, 317, 273, 32757, 2765, 23334, 966, 318, 271, 2410, 299, 521, 15732, 11372, 17586, 2429, 676, 1269, 290, 700, 521, 317, 273, 16859, 2330, 290, 700, 521, 317, 273, 966, 318, 271, 284, 305, 772, 13305, 318, 271, 7304, 595, 521, 966, 318, 271, 9681, 8624, 937, 519, 1269, 309, 318, 271, 259, 2474, 780, 2330, 263, 290, 700, 521, 317, 273, 1341, 305, 595, 521, 1341, 272, 264, 309, 318, 271, 284, 305, 772, 9681, 11377, 2765, 346, 309, 318, 271, 2410, 308, 18098, 2765, 23334, 2410, 290, 700, 521, 317, 273, 1341, 305, 595, 521, 1341, 272, 6525, 0, 258, 769, 2091, 17716, 692, 1103, 10289, 9577, 14484, 687, 267, 950, 1079, 3252, 616, 10630, 936, 519, 1899, 3230, 344, 24210, 2330, 2073, 1287, 519, 1448, 30967, 320, 14720, 14638, 689, 835, 1599, 543, 519, 1448, 30967, 321, 28083, 14638, 689, 519, 2034, 1599, 1106, 513, 1899, 10126, 13902, 547, 519, 1899, 3230, 344, 24210, 2330, 543, 519, 2798, 616, 1226, 573, 9665, 547, 519, 1899, 3230, 344, 24210, 29634, 2252, 1312, 14258, 616, 3252, 630, 16269, 1780, 519, 7299, 1899, 1449, 1070, 1287, 713, 2078, 568, 3989, 607, 519, 11201, 540, 1079, 3252, 543, 789, 616, 10630, 936, 519, 1899, 3230, 344, 24210, 2330, 799, 568, 519, 3961, 1599, 269, 1109, 630, 9616, 281, 3961, 1797, 602, 585, 1022, 3403, 3230, 343, 18079, 519, 3977, 568, 3230, 343, 2330, 610, 3230, 325, 3287, 6661, 343, 2330, 2020, 2690, 1383, 267, 952, 519, 1448, 30967, 272, 267, 273, 14638, 6013, 593, 519, 1599, 3230, 325, 3287, 14638, 2073, 1287, 30967, 273, 267, 272, 14638, 6013, 593, 519, 11201, 540, 3230, 325, 3287, 14638, 1547, 1109, 1284, 2328, 519, 11201, 1599, 607, 1109, 3230, 325, 13064, 272, 12917, 343, 14638, 1547, 1109, 8074, 602, 519, 11201, 540, 513, 1599, 568, 711, 922, 23483, 282, 4061, 267, 3230, 325, 13064, 272, 12917, 343, 264, 1422, 928, 336, 1422, 13320, 346, 272, 2410, 325, 3287, 264, 6525, 780, 9827, 267, 952, 513, 1599, 814, 606, 11201, 267, 1287, 621, 568, 1767, 547, 581, 476, 272, 3562, 268, 272, 269, 1109, 589, 1599, 3230, 325, 2330, 568, 476, 272, 3562, 268, 272, 952, 1100, 1079, 2609, 538, 519, 6389, 540, 3230, 325, 2330, 1109, 14585, 22046, 547, 519, 1482, 3693, 538, 519, 2039, 540, 3230, 325, 2330, 1109, 269, 769, 824, 1913, 267, 1142, 3230, 343, 2330, 1109, 514, 519, 6389, 814, 4010, 835, 3239, 538, 519, 2039, 780, 7661, 267, 513, 1599, 602, 10596, 519, 8880, 1899, 1449, 630, 15290, 8880, 3515, 798, 711, 12969, 519, 3113, 540, 519, 1599, 3230, 325, 2330, 538, 811, 982, 835, 1448, 1070, 1287, 519, 1599, 568, 476, 272, 3562, 268, 272, 780, 29991, 799, 540, 519, 1739, 616, 11201, 3252, 543, 2491, 707, 7744, 269, 1109, 20877, 338, 616, 2813, 1210, 2677, 21573, 2593, 780, 272, 269, 1109, 3230, 325, 3287, 264, 815, 910, 273, 343, 349, 1700, 349, 276, 2330, 543, 3230, 326, 3287, 264, 815, 28363, 13320, 1535, 273, 9625, 268, 349, 1422, 13320, 476, 7367, 9681, 273, 269, 1109, 3230, 327, 3287, 264, 815, 1535, 1341, 476, 276, 2330, 1109, 543, 3230, 330, 3287, 6661, 268, 343, 268, 276, 9681, 274, 269, 1109, 3230, 337, 3287, 6661, 343, 317, 274, 2330, 543, 3230, 339, 3287, 21174, 6912, 314, 274, 31765, 343, 6525, 0, 258, 9511, 692, 288, 6288, 5826, 1268, 6763, 476, 1626, 544, 689, 513, 9764, 15224, 269, 27539, 602, 1200, 3515, 540, 8289, 1106, 8126, 757, 547, 519, 15224, 543, 1118, 606, 5086, 540, 476, 5325, 4113, 269, 1548, 568, 519, 2268, 540, 519, 9095, 540, 519, 15224, 602, 1200, 3515, 540, 8289, 12969, 286, 7490, 1810, 1405, 1175, 2626, 621, 22007, 803, 875, 547, 798, 621, 269, 8729, 2433, 2020, 272, 269, 26461, 491, 454, 273, 269, 26461, 492, 454, 274, 269, 26461, 479, 454, 272, 269, 623, 815, 476, 5325, 26440, 563, 6635, 322, 9474, 568, 519, 20211, 3955, 1061, 539, 676, 623, 563, 6635, 322, 8028, 289, 568, 634, 14230, 540, 519, 5858, 780, 5723, 815, 476, 11740, 910, 8028, 289, 563, 263, 3722, 289, 5025, 289, 8358, 273, 815, 623, 454, 27802, 3482, 476, 11740, 268, 3722, 289, 585, 9474, 454, 263, 3722, 289, 24179, 11740, 268, 3722, 289, 4297, 270, 273, 815, 476, 5325, 454, 11372, 17586, 1312, 5011, 676, 476, 273, 912, 263, 3722, 289, 24179, 11740, 268, 3722, 289, 4297, 815, 476, 11463, 454, 3722, 289, 268, 11740, 266, 3722, 289, 815, 476, 11463, 454, 273, 3722, 289, 268, 11740, 815, 476, 11463, 454, 273, 3722, 289, 815, 476, 11463, 266, 11740, 815, 476, 3393, 275, 454, 3722, 289, 815, 476, 3393, 275, 270, 273, 815, 476, 25375, 26440, 780, 5723, 815, 476, 11740, 268, 3722, 289, 815, 476, 11740, 268, 25375, 815, 476, 15836, 26440, 780, 272, 269, 26461, 491, 454, 273, 269, 26461, 492, 454, 273, 269, 476, 27886, 692, 272, 269, 26461, 491, 454, 273, 269, 26461, 492, 454, 274, 269, 476, 272, 11065, 454, 273, 6993, 454, 274, 6993, 454, 275, 6993, 454, 276, 6185, 454, 277, 11065, 454, 278, 6185, 454, 279, 5861, 454, 280, 6185, 454, 1015, 11065, 692, 272, 269, 26461, 491, 454, 273, 269, 26461, 492, 454, 275, 269, 9684, 596, 561, 565, 476, 1911, 30515, 272, 269, 26461, 491, 454, 273, 269, 26461, 492, 454, 276, 269, 594, 6557, 609, 5345, 534, 8627, 12414, 547, 2696, 8627, 1261, 2760, 14543, 8627, 1656, 536, 13512, 700, 5357, 568, 476, 1911, 260, 2953, 594, 1175, 3576, 519, 7688, 256, 2439, 272, 269, 26461, 491, 454, 273, 269, 26461, 492, 454, 277, 269, 11289, 596, 476, 1911, 30515, 272, 269, 26461, 491, 454, 273, 269, 26461, 492, 454, 278, 269, 5601, 568, 711, 1483, 692, 272, 269, 26461, 491, 454, 273, 269, 26461, 492, 454, 279, 269, 2696, 568, 1483, 692, 272, 269, 26461, 491, 454, 273, 269, 26461, 492, 454, 280, 269, 561, 565, 781, 4267, 616, 2953, 267, 1175, 3576, 519, 1449, 269, 1119, 692, 272, 269, 26461, 491, 454, 273, 269, 26461, 492, 454, 1015, 269, 10971, 16995, 692, 272, 269, 26461, 491, 454, 273, 269, 26461, 492, 692, 1012, 5381, 5999, 692, 272, 269, 12693, 10789, 692, 288, 5619, 528, 568, 7555, 476, 12893, 3952, 689, 519, 3490, 540, 519, 6115, 31790, 269, 634, 2386, 344, 528, 3800, 519, 5086, 540, 15038, 547, 519, 1283, 540, 519, 15224, 607, 476, 4281, 269, 274, 269, 1215, 7381, 568, 519, 6115, 31790, 286, 634, 2626, 781, 476, 27898, 3952, 267, 855, 594, 6415, 711, 2386, 692, 273, 269, 12693, 2979, 692, 288, 1895, 540, 2828, 6499, 547, 979, 547, 519, 31768, 6288, 269, 1358, 723, 1100, 811, 982, 8096, 25134, 547, 6108, 593, 18736, 543, 16075, 269, 5244, 532, 568, 8096, 866, 267, 543, 17914, 1942, 8096, 2918 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 3528, 24839, 667, 612, 675, 5435, 454, 763, 29458, 289, 779, 12846, 22878, 10406, 729, 2813, 538, 476, 3707, 272, 267, 607, 513, 8225, 2229, 1344, 8116, 896, 519, 4287, 540, 3627, 717, 686, 3205, 269, 1635, 476, 2735, 276, 267, 950, 519, 1507, 1770, 779, 2504, 267, 1631, 513, 4015, 540, 11147, 267, 2968, 519, 4295, 540, 519, 8225, 7467, 540, 12634, 22878, 267, 519, 10406, 1185, 3812, 930, 476, 7742, 267, 1822, 2592, 269, 3487, 540, 713, 3638, 6561, 568, 8947, 538, 519, 14266, 634, 24722, 16514, 1107, 634, 2817, 17912, 8274, 540, 4516, 779, 12846, 22878, 10406, 543, 519, 12005, 540, 4516, 267, 476, 3707, 272, 1700, 3192, 272, 267, 272, 26940, 676, 8349, 9796, 928, 543, 9995, 571, 29325, 1188, 585, 519, 2961, 13987, 2160, 3203, 20155, 269, 273, 454, 1103, 1818, 741, 5542, 689, 713, 5458, 21287, 267, 519, 1225, 2209, 4941, 547, 2263, 968, 6011, 713, 8116, 16545, 4516, 543, 8225, 3961, 267, 1018, 1909, 11147, 5129, 538, 602, 31935, 267, 543, 875, 519, 29458, 289, 779, 26278, 21287, 729, 1107, 543, 5170, 547, 581, 1107, 1031, 1848, 274, 1358, 1253, 2331, 519, 14266, 689, 606, 12716, 1944, 1935, 267, 17568, 519, 2592, 538, 513, 2239, 538, 799, 789, 616, 1514, 5013, 602, 1683, 1806, 540, 2686, 2853, 1282, 606, 5736, 602, 729, 11358, 585, 519, 1646, 540, 8225, 10344, 563, 294, 686, 3205, 1185, 513, 9434, 3310, 593, 519, 3977, 540, 519, 10406, 267, 519, 5692, 540, 799, 538, 519, 2038, 1296, 729, 547, 20834, 1125, 1857, 6644, 538, 519, 2112, 4674, 676, 844, 523, 4221, 23671, 685, 19818, 585, 1344, 543, 5329, 14326, 909, 269, 4495, 4708, 729, 556, 28004, 267, 519, 10406, 729, 25461, 609, 5009, 606, 1802, 560, 686, 748, 4182, 267, 1312, 29143, 1227, 543, 18368, 267, 543, 10452, 513, 2631, 540, 1455, 2418, 269, 769, 717, 686, 3205, 779, 6863, 267, 713, 729, 519, 1909, 540, 18259, 267, 799, 729, 1655, 24829, 676, 8666, 2934, 269, 275, 454, 763, 2592, 3812, 676, 519, 10406, 779, 21706, 941, 519, 6151, 1570, 585, 891, 12432, 4773, 269, 634, 5396, 941, 3875, 543, 6093, 267, 543, 519, 3871, 941, 11347, 540, 782, 4525, 540, 519, 2197, 269, 634, 1004, 538, 519, 5961, 6923, 1404, 741, 1697, 5107, 609, 606, 8815, 5346, 517, 26974, 3740, 640, 538, 799, 1142, 24151, 2901, 513, 1880, 1514, 1826, 610, 606, 32055, 2203, 540, 15114, 269, 4634, 950, 649, 917, 741, 3961, 1107, 585, 1383, 267, 2021, 2324, 538, 513, 9604, 2030, 4171, 2238, 649, 1246, 1900, 676, 1900, 1107, 649, 917, 3592, 4986, 827, 873, 269, 1160, 1186, 616, 5402, 17479, 547, 2333, 519, 2357, 13369, 540, 519, 6429, 543, 2569, 519, 24575, 547, 922, 14724, 4082, 269, 634, 23440, 540, 519, 1004, 543, 519, 3871, 1118, 519, 2680, 3015, 547, 3025, 563, 2690, 741, 1705, 12519, 2832, 547, 581, 24009, 267, 891, 19448, 26327, 569, 10853, 2592, 1185, 547, 581, 9985, 2312, 543, 5612, 1850, 1043, 281, 519, 21706, 5249, 609, 1804, 268, 8971, 12514, 543, 3592, 2141, 1031, 1025, 663, 267, 7833, 1394, 2775, 532, 547, 7794, 519, 2067, 1413, 540, 11255, 10207, 269, 634, 5888, 8711, 519, 1292, 1641, 543, 4418, 10134, 782, 15988, 1663, 748, 3877, 856, 540, 7406, 269, 634, 23031, 2356, 7550, 513, 28882, 1448, 540, 2070, 282, 713, 20020, 340, 919, 519, 6429, 779, 29591, 543, 9883, 621, 865, 602, 519, 9030, 1641, 568, 14593, 883, 519, 32215, 563, 20124, 2934, 941, 513, 7104, 23072, 538, 799, 519, 21706, 941, 1152, 519, 1101, 11051, 538, 513, 5832, 540, 7459, 269, 769, 741, 12687, 267, 5830, 3710, 513, 9183, 543, 5206, 17691, 543, 18913, 5931, 267, 22805, 513, 2239, 602, 5532, 782, 2694, 540, 519, 4062, 538, 606, 5214, 267, 12667, 2078, 269, 634, 8642, 14704, 28093, 4240, 519, 2239, 609, 513, 3308, 11733, 998, 519, 11768, 267, 1201, 1090, 532, 519, 11147, 547, 3514, 32069, 593, 519, 2985, 543, 9591, 513, 15796, 1851, 873, 281, 606, 30118, 1738, 3239, 28388, 519, 1888, 729, 30326, 5116, 547, 7001, 519, 5467, 779, 3007, 543, 729, 11303, 609, 14911, 2592, 269, 634, 9837, 1275, 540, 891, 25481, 540, 1913, 267, 2592, 267, 543, 8642, 1374, 1705, 711, 4866, 547, 519, 21706, 267, 945, 1419, 7283, 20822, 282, 4352, 789, 12038, 609, 513, 2582, 5639, 998, 741, 24215, 1164, 7779, 26278, 960, 267, 741, 5075, 729, 29884, 547, 519, 18640, 540, 606, 12250, 1448, 540, 2070, 602, 20762, 2123, 4485, 1927, 563, 8489, 553, 519, 476, 3707, 271, 338, 543, 476, 4198, 271, 338, 941, 519, 5736, 540, 18259, 585, 519, 10406, 267, 519, 476, 3422, 271, 338, 4718, 513, 6521, 538, 1445, 269, 634, 23626, 1107, 547, 581, 519, 4013, 10344, 8116, 540, 519, 8225, 2229, 1107, 7283, 519, 1482, 267, 855, 519, 7664, 4957, 267, 607, 1705, 12331, 540, 3892, 267, 8658, 585, 9306, 11147, 3812, 267, 543, 267, 2523, 267, 519, 11407, 602, 29600, 922, 2504, 269, 634, 2578, 27812, 540, 8225, 32700, 267, 9976, 538, 476, 3422, 278, 267, 13085, 569, 6825, 519, 10406, 779, 1007, 31223, 609, 519, 8313, 540, 1614, 16033, 894, 2835, 269, 853, 2158, 540, 3778, 276, 729, 513, 3501, 6474, 585, 519, 10406, 779, 23626, 269, 901, 1353, 540, 519, 6189, 540, 519, 12057, 29844, 538, 31747, 12286, 3109, 7146, 22554, 543, 7990, 11147, 540, 519, 9703, 676, 18281, 700, 1495, 1107, 519, 1152, 538, 27440, 23031, 1869, 593, 519, 2816, 1107, 543, 608, 614, 12542, 676, 5689, 752, 563, 763, 1483, 2736, 609, 519, 2250, 729, 6825, 676, 519, 824, 1079, 2835, 267, 4516, 281, 589, 5729, 540, 519, 8092, 277, 543, 11910, 23067, 23671, 281, 589, 7353, 4919, 8672, 540, 7348, 278, 269, 4516, 281, 589, 5729, 540, 519, 8092, 12286, 7990, 11147, 543, 606, 12716, 7664, 540, 519, 5251, 267, 6719, 538, 519, 14266, 676, 513, 3126, 540, 2592, 3812, 676, 519, 10406, 585, 519, 21094, 13163, 538, 799, 519, 15805, 18353, 267, 6074, 585, 741, 30118, 1738, 1871, 543, 519, 1004, 789, 3182, 3293, 267, 15469, 519, 5551, 5048, 269, 634, 695, 20810, 532, 15437, 3986, 519, 11673, 1107, 513, 3501, 14745, 540, 519, 875, 7990, 729, 4122, 9763, 693, 519, 942, 267, 607, 606, 10229, 1907, 269, 634, 1433, 3091, 513, 4625, 1114, 1935, 547, 1312, 5251, 543, 7990, 269, 3371, 267, 519, 6249, 540, 5251, 2531, 7149, 543, 568, 679, 6665, 3042, 607, 519, 4493, 540, 606, 3961, 269, 31131, 267, 15851, 5898, 682, 2355, 1055, 519, 2985, 267, 543, 519, 7907, 540, 519, 15437, 602, 2497, 519, 3182, 3645, 2230, 616, 519, 2592, 685, 1898, 5057, 269, 10435, 606, 12705, 17993, 856, 936, 18995, 4641, 563, 24445, 23067, 23671, 267, 607, 922, 2140, 10522, 267, 28420, 8225, 4961, 269, 968, 763, 1433, 22393, 1201, 23230, 689, 7114, 1004, 676, 741, 13664, 1327, 1446, 610, 6803, 5169, 585, 713, 568, 711, 513, 14227, 1353, 610, 513, 8579, 2689, 269, 1703, 568, 711, 1256, 513, 2594, 540, 1141, 519, 8523, 729, 3144, 269, 898, 1281, 711, 2339, 269, 634, 26278, 4090, 4805, 568, 18678, 1848, 279, 769, 824, 1913, 267, 519, 3239, 3217, 3768, 529, 1584, 539, 8998, 3942, 269, 634, 1433, 267, 968, 935, 18727, 607, 513, 8225, 7731, 540, 2494, 2223, 280, 13352, 11147, 540, 23671, 689, 782, 936, 519, 2197, 883, 513, 24463, 602, 267, 899, 922, 2203, 267, 1166, 3430, 839, 856, 11984, 543, 23083, 513, 19618, 5075, 540, 519, 2197, 563, 7212, 31240, 9627, 3933, 330, 267, 519, 32427, 1807, 540, 891, 16529, 3785, 267, 22393, 1253, 2331, 9887, 689, 519, 9070, 663, 626, 11407, 540, 519, 8666, 4183, 267, 1352, 7283, 3020, 547, 519, 10406, 779, 23626, 538, 1200, 6881, 540, 513, 17855, 540, 23671, 269, 898, 729, 519, 1797, 1031, 602, 4957, 269, 634, 11147, 6074, 941, 519, 960, 1100, 3476, 540, 538, 27440, 21706, 538, 3293, 547, 519, 14908, 540, 519, 12250, 5075, 267, 855, 540, 513, 1007, 5108, 540, 28479, 19188, 538, 1900, 609, 519, 2853, 540, 519, 1554, 269, 4014, 21706, 971, 607, 7812, 12054, 752, 267, 18466, 30340, 996, 267, 24839, 717, 7596, 731, 267, 3627, 632, 966, 1170, 518, 267, 3627, 7665, 267, 543, 741, 9164, 12006, 741, 23440, 609, 741, 5396, 267, 972, 729, 606, 2011, 540, 15514, 2033, 640, 827, 741, 3109, 7146, 22554, 25135, 32718, 282, 789, 17947, 968, 1492, 26278, 4090, 892, 609, 513, 2123, 1935, 602, 2322, 15312, 543, 1543, 593, 606, 3160, 3723, 532, 269, 634, 5276, 640, 540, 519, 1433, 18791, 519, 13737, 640, 540, 741, 2592, 267, 25735, 593, 2407, 3817, 543, 4843, 835, 1310, 1776, 538, 513, 1404, 540, 18759, 543, 8100, 547, 513, 2619, 2059, 799, 3988, 666, 4020, 741, 1378, 621, 10719, 776, 563, 1432, 4957, 1175, 607, 32753, 538, 891, 12326, 729, 519, 2470, 540, 519, 18913, 5931, 543, 741, 4110, 540, 2956, 269, 1358, 941, 19621, 538, 2470, 269, 4256, 3804, 729, 1100, 3476, 547, 22536, 9057, 710, 519, 2592, 998, 2915, 15122, 11407, 267, 855, 547, 679, 342, 1905, 873, 538, 11430, 878, 1143, 547, 1930, 741, 1259, 547, 519, 6965, 602, 13816, 580, 999, 1272, 269, 634, 2592, 941, 3976, 679, 333, 984, 1194, 676, 519, 1913, 602, 4330, 873, 269, 6181, 1742, 602, 1131, 1202, 9216, 519, 11147, 685, 1543, 538, 513, 15889, 4641, 543, 14751, 519, 23506, 540, 741, 5169, 941, 530, 21317, 2476, 538, 12797, 540, 513, 5075, 540, 741, 8471, 2721, 607, 14628, 9988, 538, 519, 1158, 540, 5898, 269, 901, 3860, 11028, 3667, 783, 1436, 1500, 519, 21706, 543, 741, 19988, 5075, 519, 6852, 19506, 585, 2198, 908, 741, 5961, 563, 763, 6284, 540, 10344, 267, 15748, 538, 891, 12326, 267, 1131, 3136, 609, 519, 519, 5137, 538, 476, 3422, 277, 540, 519, 11300, 22878, 14635, 267, 799, 5828, 606, 3239, 4871, 883, 513, 536, 7431, 535, 728, 4015, 543, 519, 6679, 538, 476, 3422, 278, 540, 634, 17421, 20155, 267, 519, 1101, 19922, 538, 4516, 13991, 7357, 547, 10344, 269, 769, 519, 12687, 540, 891, 1079, 1713, 8441, 538, 8225, 1686, 540, 10344, 3357, 519, 3126, 540, 1395, 21106, 11331, 12005, 267, 3370, 1063, 476, 3422, 278, 543, 476, 3192, 272, 267, 1142, 540, 799, 18808, 609, 513, 1114, 2259, 540, 519, 942, 281, 1285, 656, 3766, 31938, 1148, 630, 278, 267, 476, 279, 267, 476, 280, 1070, 1313, 16725, 17245, 630, 275, 267, 476, 1015, 1070, 2445, 1161, 11347, 540, 6237, 2853, 630, 273, 267, 476, 277, 1070, 543, 1313, 16725, 1395, 21106, 630, 272, 1040, 1015, 2368, 540, 519, 3594, 10962, 891, 2835, 957, 607, 519, 27299, 540, 513, 11407, 593, 10344, 538, 3294, 269, 2290, 1383, 568, 519, 4367, 676, 30370, 21125, 267, 10344, 9375, 267, 9306, 1010, 5079, 585, 12005, 476, 277, 281, 968, 1103, 1010, 1496, 1492, 23031, 779, 316, 1909, 607, 6085, 1807, 646, 568, 4742, 811, 543, 811, 6857, 540, 519, 6935, 1063, 1010, 5075, 267, 519, 2298, 540, 1010, 2592, 543, 922, 1198, 2390, 1010, 5304, 269, 1703, 616, 538, 519, 2079, 2178, 23053, 540, 513, 6024, 6560, 547, 1118, 519, 5048, 538, 519, 8523, 2312, 543, 922, 2495, 10750, 547, 519, 1804, 543, 2479, 2810, 5304, 585, 3308, 2923, 1848, 1556, 901, 5912, 689, 12250, 11407, 24829, 998, 2592, 547, 11407, 593, 10344, 607, 513, 5420, 593, 922, 1378, 1305, 519, 1576, 585, 519, 10406, 779, 2663, 2238, 563, 2026, 513, 3932, 267, 519, 14266, 3091, 513, 8086, 267, 689, 513, 5697, 24402, 267, 593, 875, 2592, 723, 513, 1272, 602, 568, 10419, 18050, 538, 20422, 556, 1348, 902, 540, 873, 269, 5565, 3785, 267, 5741, 715, 5446, 543, 14358, 689, 519, 3345, 267, 616, 1065, 27074, 908, 883, 741, 2950, 540, 5169, 5215, 540, 2592, 3812, 676, 519, 10406, 538, 519, 3345, 538, 519, 476, 4198, 271, 338, 543, 476, 3422, 271, 338, 267, 865, 602, 519, 1004, 538, 873, 666, 581, 4857, 543, 519, 2984, 789, 18427, 666, 581, 5143, 269, 3414, 519, 946, 540, 5711, 1686, 267, 891, 17801, 25140, 1271, 6054, 267, 799, 1683, 930, 2143, 1344, 593, 513, 1158, 602, 729, 7361, 7164, 693, 519, 942, 789, 941, 3812, 267, 616, 4947, 1394, 547, 1272, 543, 4540, 1100, 3476, 998, 1007, 4064, 11347, 540, 519, 2229, 538, 519, 3162, 267, 855, 998, 519, 2713, 3965, 540, 519, 2146, 267, 799, 8591, 6988, 547, 519, 2239, 602, 789, 9446, 676, 13059, 3178, 547, 519, 3239, 269, 634, 1004, 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 ]