Datasets:
SmallDoge
/
stable_dataset_processed

Dataset card Data Studio Files
xet
Community
Search is not available for this dataset
input_ids
listlengths
1
2.05k
attention_mask
listlengths
1
2.05k
[ 519, 14643, 781, 8836, 10466, 8750, 563, 296, 344, 611, 620, 27691, 2459, 926, 267, 29037, 16725, 540, 519, 25931, 15456, 12233, 267, 5143, 1325, 5336, 517, 3218, 602, 519, 19666, 5619, 814, 1079, 5933, 269, 634, 1101, 267, 2907, 6192, 267, 18808, 609, 27607, 341, 1695, 269, 634, 2034, 3942, 267, 547, 1491, 1747, 2663, 713, 1032, 267, 849, 896, 20648, 15569, 267, 786, 3382, 15456, 4609, 538, 519, 4099, 543, 5045, 540, 519, 2197, 269, 0, 763, 4563, 1467, 2349, 10154, 568, 849, 1634, 607, 519, 4563, 1467, 674, 836, 4565, 10154, 267, 543, 568, 27604, 1532, 1042, 1369, 519, 7330, 269, 2353, 1025, 3317, 625, 1369, 519, 2725, 4618, 28387, 12593, 723, 513, 9006, 10535, 11116, 602, 789, 946, 607, 8878, 538, 2013, 789, 616, 15179, 539, 676, 513, 3677, 3165, 269, 1635, 24146, 519, 3330, 540, 519, 5023, 540, 519, 3677, 3165, 267, 789, 616, 1287, 838, 527, 1394, 856, 543, 838, 1563, 741, 1272, 269, 1452, 3165, 616, 5835, 543, 3039, 538, 32442, 609, 513, 3126, 540, 3109, 24795, 602, 1246, 519, 14694, 1899, 540, 519, 3165, 269, 19768, 532, 519, 9006, 10535, 11116, 267, 519, 4414, 7256, 631, 574, 545, 2349, 10154, 630, 31319, 11420, 3780, 1178, 22609, 328, 264, 814, 9862, 547, 13147, 10107, 713, 2249, 269, 901, 2337, 538, 922, 6668, 267, 607, 2392, 2218, 3165, 3335, 1780, 873, 676, 269, 634, 4563, 1467, 2349, 10154, 568, 513, 12560, 3165, 543, 568, 513, 4190, 1840, 547, 1022, 2146, 16983, 563, 23744, 1336, 8015, 1212, 341, 1182, 543, 7725, 593, 519, 5377, 540, 922, 1604, 267, 519, 4563, 1467, 2349, 10154, 2115, 606, 16983, 540, 693, 2547, 476, 1015, 17529, 609, 16559, 7725, 585, 829, 4221, 543, 15720, 269, 1358, 616, 3622, 12560, 538, 2470, 543, 616, 11818, 2922, 563, 763, 2732, 540, 519, 4563, 6441, 1441, 2349, 10154, 1058, 1331, 5779, 344, 3688, 971, 607, 6171, 23353, 1490, 710, 543, 544, 1736, 20544, 267, 22872, 4773, 540, 3165, 543, 20544, 267, 543, 513, 2298, 1166, 820, 1426, 563, 7343, 6918, 1493, 27619, 12025, 281, 9540, 476, 272, 268, 272, 270, 273, 257, 547, 476, 273, 268, 272, 270, 273, 257, 23839, 476, 272, 268, 272, 270, 273, 257, 547, 476, 273, 268, 272, 270, 273, 257, 0, 19138, 1280, 18409, 325, 697, 630, 25218, 8470, 264, 568, 851, 540, 606, 25337, 2468, 334, 540, 13032, 325, 697, 2090, 676, 14731, 32365, 8737, 538, 476, 1960, 271, 269, 3962, 8470, 20186, 606, 522, 2381, 748, 13032, 609, 1395, 560, 9317, 28712, 12123, 693, 513, 1319, 11456, 538, 519, 8998, 540, 519, 13032, 2590, 269, 1230, 22633, 538, 513, 535, 30711, 10538, 9703, 267, 519, 13032, 543, 1319, 11456, 616, 21235, 538, 20015, 1047, 6438, 18565, 540, 3109, 543, 13711, 269, 1358, 616, 535, 4310, 1927, 547, 2769, 519, 8515, 540, 519, 2078, 1063, 1480, 543, 28458, 563, 289, 13154, 2429, 1010, 1272, 729, 19832, 676, 2831, 269, 1809, 849, 267, 609, 519, 3662, 2065, 7592, 538, 3425, 269, 1261, 5156, 602, 3540, 5314, 543, 519, 1259, 602, 3425, 1969, 539, 609, 1866, 729, 1152, 513, 6094, 32320, 518, 9633, 532, 519, 3662, 2065, 26756, 540, 30768, 269, 634, 7328, 540, 13032, 325, 18017, 729, 513, 1883, 1719, 585, 32365, 607, 519, 6264, 16725, 543, 2577, 334, 31449, 729, 513, 4715, 12386, 540, 9019, 563, 1607, 9896, 3844, 8470, 568, 851, 540, 606, 7160, 2450, 540, 476, 5611, 269, 898, 568, 519, 2547, 2143, 540, 519, 1614, 269, 634, 8258, 11498, 856, 540, 519, 4605, 7077, 607, 952, 5732, 11093, 519, 21951, 1369, 519, 8258, 269, 589, 8470, 13556, 538, 5798, 17850, 14178, 20733, 689, 519, 1318, 2427, 540, 519, 8258, 568, 2451, 10145, 5373, 519, 21951, 781, 3750, 2509, 519, 2962, 538, 519, 8998, 269, 634, 17615, 3350, 540, 519, 13032, 5761, 532, 2509, 519, 1319, 11456, 568, 6700, 538, 519, 3043, 13009, 540, 11876, 1993, 7436, 538, 519, 32215, 540, 519, 22501, 8258, 269, 0, 27287, 15154, 543, 5811, 476, 272, 1040, 634, 1353, 849, 11363, 519, 1249, 602, 519, 3084, 3609, 1058, 581, 3102, 543, 17589, 689, 519, 2199, 2950, 563, 29753, 2565, 3206, 1983, 543, 1210, 1346, 1983, 547, 5659, 519, 8808, 2853, 267, 4808, 543, 4441, 2488, 519, 1367, 609, 519, 2702, 543, 7207, 547, 4434, 538, 513, 8808, 4876, 267, 2337, 519, 1367, 547, 4217, 1866, 538, 8236, 741, 3853, 543, 6859, 267, 543, 20674, 519, 1367, 538, 519, 1391, 547, 1831, 513, 811, 2500, 543, 3608, 11923, 269, 2290, 2487, 1353, 5462, 602, 11923, 666, 849, 4324, 689, 8476, 2565, 3206, 1983, 834, 2421, 10503, 519, 2790, 3157, 267, 610, 28858, 267, 11923, 946, 547, 16174, 519, 1713, 689, 519, 1875, 1606, 22658, 7422, 1500, 609, 2543, 547, 2550, 257, 630, 27144, 267, 22642, 523, 267, 476, 1001, 274, 267, 533, 269, 476, 10436, 1040, 1403, 602, 568, 3020, 1287, 2565, 3206, 1983, 666, 581, 3833, 1271, 547, 519, 12016, 945, 568, 5275, 547, 1020, 513, 2078, 609, 1010, 610, 1200, 2550, 602, 2488, 585, 519, 19993, 6051, 998, 3102, 8343, 563, 288, 12016, 945, 17358, 602, 3206, 998, 1018, 646, 610, 1352, 568, 11287, 543, 1287, 4947, 547, 513, 9266, 3932, 267, 568, 513, 12016, 945, 2693, 30128, 2614, 547, 7747, 1018, 568, 8345, 609, 519, 3461, 538, 519, 1101, 1747, 269, 1280, 1383, 267, 6616, 602, 513, 3461, 609, 1978, 4191, 543, 2589, 786, 8858, 6547, 547, 5574, 610, 6527, 2901, 9797, 610, 28148, 666, 4217, 519, 12016, 538, 23754, 532, 875, 1346, 3210, 4433, 264, 1860, 519, 3461, 781, 2949, 1072, 269, 769, 824, 1913, 267, 589, 1341, 645, 815, 595, 269, 634, 9197, 3749, 15154, 23792, 11363, 519, 1249, 602, 1582, 3887, 1998, 6672, 543, 875, 519, 12016, 23465, 547, 519, 4539, 540, 1010, 610, 1200, 1378, 2259, 568, 513, 2178, 13525, 540, 875, 2565, 3206, 543, 2079, 666, 581, 6225, 547, 519, 12016, 269, 634, 6389, 849, 15387, 602, 519, 12016, 1590, 849, 5431, 602, 2963, 2861, 2853, 616, 8045, 543, 1031, 1317, 789, 616, 2963, 2861, 543, 723, 513, 4493, 538, 1655, 2853, 563, 2691, 519, 12016, 17767, 602, 7835, 538, 519, 2963, 2861, 26750, 666, 2965, 581, 3833, 3730, 267, 519, 12016, 12374, 606, 1620, 543, 8223, 602, 786, 4217, 519, 12016, 538, 7311, 4441, 543, 2853, 602, 616, 2500, 563, 288, 2487, 1867, 1163, 15903, 2390, 519, 1249, 602, 834, 10915, 29193, 30998, 814, 1044, 3254, 547, 2333, 519, 15226, 781, 2565, 3206, 543, 2104, 3498, 540, 1007, 1702, 257, 630, 294, 1551, 640, 267, 476, 1001, 274, 267, 533, 269, 476, 14093, 1040, 589, 3948, 971, 607, 519, 835, 602, 717, 1551, 640, 2306, 5012, 835, 547, 2992, 2390, 519, 2856, 602, 8086, 568, 513, 2556, 851, 540, 1565, 269, 14171, 513, 2123, 1995, 610, 2680, 543, 21959, 1359, 1007, 1344, 610, 1239, 689, 602, 2680, 568, 513, 1106, 540, 8086, 269, 1879, 519, 1367, 9356, 2390, 602, 1007, 1344, 610, 1239, 621, 5956, 513, 1184, 602, 2636, 585, 1565, 689, 519, 1995, 269, 14484, 633, 3206, 1058, 849, 4217, 519, 1367, 538, 3384, 2055, 602, 1917, 547, 581, 12943, 269, 14484, 532, 593, 1346, 4267, 5012, 547, 2565, 3206, 563, 302, 1111, 550, 1307, 519, 1268, 945, 568, 10452, 1281, 865, 609, 513, 9186, 2509, 741, 1378, 1871, 1062, 543, 621, 2337, 519, 1268, 547, 1020, 513, 4295, 2631, 540, 4978, 543, 2418, 269, 14484, 633, 3206, 849, 2337, 519, 1367, 5431, 602, 1702, 666, 581, 6591, 538, 3592, 1169, 20089, 269, 898, 849, 20674, 519, 1367, 538, 1565, 602, 972, 568, 513, 4276, 1063, 1018, 568, 2907, 4121, 267, 543, 1018, 568, 1373, 3773, 547, 621, 3842, 519, 1995, 563, 294, 8724, 1702, 814, 2141, 1044, 713, 2278, 781, 3804, 543, 6662, 543, 1565, 602, 519, 2259, 540, 8086, 666, 4217, 538, 602, 6073, 1152, 2417, 9599, 519, 2278, 7282, 8808, 543, 8808, 1983, 543, 2853, 563, 7069, 1702, 267, 4606, 543, 4978, 723, 2919, 936, 942, 543, 998, 513, 3099, 540, 2833, 269, 594, 666, 2995, 602, 594, 2070, 1919, 543, 2621, 538, 513, 1259, 602, 2576, 1510, 1346, 1482, 2833, 5784, 1919, 269, 594, 729, 630, 663, 31934, 547, 581, 264, 6766, 676, 2621, 267, 1004, 543, 6381, 269, 23883, 4143, 538, 1250, 10715, 814, 1044, 519, 1114, 4529, 594, 723, 4810, 693, 519, 1585, 3506, 594, 723, 13984, 269, 1306, 835, 1353, 1336, 834, 25217, 338, 666, 581, 835, 540, 519, 2950, 538, 799, 513, 1268, 781, 3961, 568, 588, 528, 1221, 543, 666, 1683, 513, 2796, 1141, 9053, 2984, 666, 581, 8068, 543, 17019, 257, 630, 23389, 267, 476, 1001, 274, 267, 533, 269, 476, 6507, 1040, 3427, 814, 1044, 2523, 1271, 547, 803, 538, 602, 594, 723, 13984, 3506, 602, 723, 5280, 803, 547, 3337, 1141, 594, 993, 543, 1018, 594, 993, 4742, 269, 12140, 723, 849, 19443, 803, 538, 3384, 513, 1978, 1377, 540, 16169, 602, 594, 1522, 711, 6382, 723, 6913, 563, 12244, 476, 272, 269, 276, 543, 476, 272, 269, 278, 454, 6597, 3539, 519, 1523, 540, 1072, 4547, 1266, 25311, 606, 2856, 602, 972, 568, 1454, 811, 547, 1072, 982, 666, 581, 9619, 593, 2901, 513, 2199, 3084, 610, 1256, 2518, 3942, 269, 3962, 540, 519, 1614, 2127, 1590, 2170, 538, 1931, 585, 519, 1523, 540, 4429, 25387, 267, 519, 2518, 2460, 568, 4742, 1454, 811, 1271, 982, 729, 5892, 2219, 269, 2060, 519, 4417, 540, 513, 2518, 4346, 849, 2501, 519, 4417, 540, 2518, 1072, 563, 3412, 7964, 267, 18666, 267, 10375, 2951, 543, 519, 2123, 4205, 593, 513, 2518, 4336, 948, 547, 5581, 513, 2518, 1072, 9183, 602, 5654, 547, 581, 6417, 269, 23889, 519, 3084, 4507, 609, 513, 2518, 3609, 3217, 513, 12497, 1436, 543, 5075, 602, 6770, 1927, 519, 2115, 543, 13821, 540, 513, 2647, 5044, 540, 4529, 543, 2477, 269, 3962, 2197, 814, 922, 1378, 2010, 540, 2042, 543, 1034, 6999, 547, 2232, 1346, 2042, 538, 741, 1378, 1880, 1259, 269, 6396, 3098, 267, 5574, 267, 5868, 543, 606, 1620, 540, 4010, 1018, 13054, 1434, 1072, 616, 782, 14648, 609, 513, 3084, 9186, 269, 2290, 1867, 2829, 834, 7474, 1072, 4093, 616, 1373, 4299, 3648, 676, 2804, 543, 2797, 2242, 2404, 609, 14051, 257, 630, 300, 12386, 534, 267, 5839, 14211, 267, 476, 1220, 279, 267, 533, 269, 476, 272, 264, 543, 1346, 616, 6157, 2188, 547, 581, 2808, 269, 1280, 1383, 267, 952, 585, 519, 19160, 540, 519, 2551, 540, 513, 25013, 2197, 267, 513, 21950, 2197, 1590, 1683, 1072, 1416, 267, 1058, 519, 21950, 2197, 581, 2838, 547, 798, 865, 286, 634, 2243, 602, 1223, 581, 4280, 1131, 581, 267, 2094, 2518, 1072, 568, 513, 6161, 585, 3025, 267, 12582, 1405, 3025, 581, 7255, 888, 763, 1523, 540, 1434, 1072, 1058, 849, 581, 9619, 593, 519, 3084, 1377, 543, 1058, 1331, 6805, 607, 1134, 607, 1875, 23949, 4246, 2043, 543, 2950, 269, 901, 568, 2523, 3020, 538, 5245, 1141, 834, 527, 568, 1134, 8153, 602, 16971, 26880, 1995, 25013, 1072, 936, 513, 2039, 540, 2175, 257, 630, 13731, 537, 267, 16399, 267, 476, 1001, 274, 267, 533, 269, 476, 6795, 1040, 634, 21876, 540, 2518, 1072, 1331, 519, 1249, 602, 1169, 12504, 630, 553, 1454, 607, 2009, 264, 1058, 581, 3769, 610, 693, 2547, 6035, 519, 4316, 547, 581, 3769, 538, 1022, 1826, 540, 3084, 630, 528, 2518, 264, 3782, 11036, 269, 634, 1514, 5126, 2994, 6964, 547, 2327, 602, 713, 3217, 1747, 616, 3006, 15877, 538, 519, 2168, 6703, 2556, 547, 3028, 519, 2115, 540, 519, 6805, 1004, 602, 4440, 991, 873, 519, 1360, 1034, 269, 10289, 519, 2139, 3332, 593, 519, 1114, 3292, 4867, 2139, 547, 1346, 6805, 7239, 1131, 581, 3833, 24084, 2287, 563, 29753, 606, 1620, 540, 1175, 1018, 568, 2877, 547, 2232, 741, 2152, 1131, 4217, 519, 8808, 1367, 543, 8808, 2146, 538, 3927, 1966, 9010, 538, 519, 2564, 1604, 563, 2005, 568, 1250, 3661, 602, 513, 1072, 1416, 1062, 1058, 7854, 607, 1082, 2043, 543, 7239, 607, 2009, 538, 1931, 547, 3895, 606, 1604, 602, 2636, 3025, 519, 4316, 547, 2972, 1434, 1072, 269, 3733, 1620, 540, 519, 8241, 3782, 1062, 568, 602, 630, 3697, 1022, 3084, 1062, 264, 621, 814, 922, 19363, 267, 855, 621, 849, 814, 922, 5383, 269, 2290, 540, 922, 1034, 5538, 17331, 3344, 568, 602, 621, 519, 3782, 1062, 949, 581, 4742, 1454, 1932, 14427, 585, 1082, 8241, 4961, 269, 589, 2487, 1353, 5462, 602, 834, 1721 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 855, 713, 568, 711, 2141, 519, 2013, 538, 4641, 269, 1306, 23576, 676, 519, 1272, 540, 21125, 267, 5128, 267, 1082, 1762, 2367, 616, 1303, 5367, 547, 1246, 602, 799, 789, 1058, 711, 563, 763, 3604, 267, 1287, 267, 1063, 1875, 268, 3891, 3630, 545, 2219, 543, 602, 540, 519, 20748, 11486, 10041, 1261, 3691, 9749, 666, 581, 7745, 1524, 1360, 3274, 547, 519, 1448, 540, 1395, 6139, 1143, 269, 2755, 972, 941, 1082, 10486, 1063, 5840, 543, 1200, 12543, 267, 20748, 1395, 6139, 1143, 11542, 856, 936, 543, 1996, 891, 10486, 269, 634, 1966, 1336, 2429, 23075, 267, 2523, 538, 519, 12583, 267, 568, 602, 519, 1261, 3691, 9749, 1705, 711, 2141, 2661, 856, 741, 16809, 269, 769, 1249, 267, 689, 519, 942, 540, 26826, 543, 519, 11344, 28419, 267, 972, 814, 1044, 513, 20747, 2590, 540, 1079, 2101, 2093, 281, 23968, 342, 1143, 543, 519, 4984, 540, 5840, 779, 4874, 1492, 2065, 12543, 269, 901, 5348, 4038, 1143, 5555, 9060, 513, 1753, 538, 519, 7187, 10806, 22924, 568, 23968, 342, 2065, 609, 13391, 685, 531, 2065, 2934, 22924, 779, 711, 17033, 23968, 342, 2065, 267, 711, 3501, 2295, 539, 269, 898, 5526, 267, 1287, 267, 602, 1160, 18690, 476, 272, 268, 280, 568, 606, 3801, 547, 1832, 713, 5348, 4038, 1143, 693, 15922, 676, 23478, 547, 519, 1261, 3691, 9749, 519, 1272, 1606, 330, 1571, 2877, 547, 979, 3564, 519, 4341, 540, 4521, 267, 855, 1869, 1369, 519, 5943, 540, 519, 4521, 1107, 6986, 23968, 342, 1143, 563, 1729, 581, 4797, 2483, 10292, 13993, 296, 24209, 1488, 7815, 267, 717, 548, 1783, 269, 589, 11752, 540, 6196, 11620, 4985, 269, 28239, 344, 23255, 267, 476, 1220, 278, 563, 289, 14390, 565, 727, 342, 267, 30621, 717, 1421, 543, 24138, 623, 269, 744, 685, 291, 578, 323, 269, 6196, 11620, 27067, 9085, 281, 589, 634, 1670, 4985, 269, 10001, 303, 14288, 267, 476, 1001, 272, 563, 290, 3863, 5112, 267, 28788, 22448, 269, 968, 299, 8014, 27067, 543, 667, 877, 674, 14709, 693, 1627, 636, 3757, 1848, 20513, 23549, 267, 4147, 923, 543, 16241, 5525, 4972, 630, 20826, 476, 272, 267, 476, 1960, 279, 1916, 291, 822, 625, 267, 8834, 269, 968, 293, 14709, 1848, 9218, 540, 519, 6196, 11620, 281, 27067, 267, 17826, 1299, 13360, 902, 269, 3955, 309, 1513, 640, 4964, 267, 4873, 476, 1220, 279, 563, 21196, 267, 3627, 269, 27067, 538, 9147, 5840, 269, 11062, 2160, 4964, 267, 476, 1960, 278, 563, 291, 1197, 267, 5261, 717, 269, 9894, 2696, 5620, 589, 654, 1057, 286, 26337, 1656, 28477, 15215, 769, 9147, 5840, 269, 654, 332, 269, 645, 269, 661, 518, 323, 332, 753, 14539, 7577, 267, 476, 1220, 276, 563, 291, 650, 731, 267, 31434, 645, 1421, 543, 7066, 332, 704, 7043, 2006, 269, 1323, 4985, 547, 519, 6196, 11620, 269, 2098, 1180, 969, 534, 267, 476, 1960, 275, 269, 6480, 525, 267, 12253, 808, 269, 968, 310, 529, 3256, 543, 19978, 28613, 1848, 9218, 540, 519, 6196, 11620, 281, 27067, 267, 17826, 1299, 13360, 902, 269, 3955, 309, 1513, 640, 4964, 267, 4873, 476, 1220, 279, 563, 294, 541, 4958, 267, 13660, 2033, 269, 968, 11577, 12973, 538, 1160, 18690, 1848, 9218, 540, 519, 6196, 11620, 281, 27067, 267, 17826, 1299, 13360, 902, 269, 3955, 309, 1513, 640, 4964, 267, 4873, 476, 1220, 279, 563, 294, 7949, 267, 16092, 269, 968, 310, 529, 3256, 543, 595, 19879, 1848, 9218, 540, 519, 6196, 11620, 281, 27067, 267, 17826, 1299, 13360, 902, 269, 3955, 309, 1513, 640, 4964, 267, 4873, 476, 1220, 279, 563, 295, 612, 267, 9400, 590, 269, 968, 310, 529, 3256, 17796, 1848, 9218, 540, 519, 6196, 11620, 281, 27067, 267, 17826, 1299, 13360, 902, 269, 3955, 309, 1513, 640, 4964, 267, 4873, 476, 1220, 279, 563, 295, 650, 267, 12448, 661, 1421, 543, 3627, 670, 269, 9546, 2023, 269, 589, 11752, 540, 519, 6196, 11620, 269, 476, 274, 6113, 1196, 269, 2098, 1180, 969, 534, 267, 476, 1220, 280, 563, 11990, 8725, 267, 8861, 594, 956, 269, 9147, 9671, 687, 269, 11062, 267, 7136, 12727, 5617, 30893, 777, 4964, 540, 12370, 2160, 4964, 267, 476, 1220, 278, 563, 11390, 601, 267, 744, 628, 3405, 269, 29331, 267, 31001, 525, 267, 543, 16103, 540, 2696, 269, 4119, 338, 7921, 10783, 816, 23255, 267, 476, 1960, 279, 563, 298, 527, 7770, 267, 26366, 996, 269, 968, 3682, 18690, 476, 273, 281, 9147, 14033, 8109, 645, 659, 3033, 1848, 9218, 540, 519, 6196, 11620, 281, 27067, 267, 17826, 1299, 13360, 902, 269, 3955, 309, 1513, 640, 4964, 267, 4873, 476, 1220, 279, 563, 16524, 2006, 267, 7066, 332, 704, 269, 968, 293, 792, 540, 519, 7083, 1848, 9218, 540, 519, 6196, 11620, 281, 27067, 267, 17826, 1299, 13360, 902, 269, 3955, 309, 1513, 640, 4964, 267, 4873, 476, 1220, 279, 563, 19203, 269, 968, 310, 2674, 27067, 543, 19716, 674, 14709, 1848, 9218, 540, 519, 6196, 11620, 281, 27067, 267, 17826, 1299, 13360, 902, 269, 3955, 309, 1513, 640, 4964, 267, 4873, 476, 1220, 279, 563, 15812, 4141, 267, 3794, 3317, 269, 634, 21265, 5974, 269, 5507, 281, 23205, 1470, 5980, 267, 476, 1220, 276, 563, 27908, 731, 267, 21142, 269, 968, 306, 1137, 267, 12140, 4065, 1848, 9218, 540, 519, 6196, 11620, 281, 27067, 267, 17826, 1299, 13360, 902, 269, 3955, 309, 1513, 640, 4964, 267, 4873, 476, 1220, 279, 563, 301, 984, 323, 749, 267, 623, 269, 589, 269, 968, 24874, 11620, 6478, 268, 22137, 281, 476, 279, 269, 16740, 11169, 543, 16103, 1848, 634, 6196, 11620, 9906, 476, 279, 267, 1100, 269, 476, 279, 630, 19688, 476, 272, 267, 476, 6642, 280, 2567, 476, 30640, 1700, 22145, 563, 302, 685, 291, 578, 323, 267, 24138, 623, 269, 968, 20988, 21931, 1848, 9218, 540, 519, 6196, 11620, 281, 27067, 267, 17826, 1299, 13360, 902, 269, 3955, 309, 1513, 640, 4964, 267, 4873, 476, 1220, 279, 563, 305, 1601, 267, 19395, 623, 269, 968, 3682, 18690, 1848, 9664, 476, 6434, 272, 1700, 13647, 275, 538, 634, 1401, 1842, 3218, 779, 6426, 19410, 776, 281, 25360, 916, 267, 1160, 18690, 267, 8278, 27036, 770, 525, 267, 14576, 540, 14576, 338, 269, 3798, 1243, 676, 7671, 661, 269, 717, 2801, 2041, 548, 514, 269, 2098, 1180, 969, 534, 267, 476, 1960, 272, 563, 9928, 2714, 267, 9410, 269, 20153, 807, 543, 519, 20435, 710, 4906, 269, 8033, 10840, 4139, 14539, 6828, 267, 476, 1960, 273, 563, 29834, 267, 4460, 589, 269, 968, 18661, 5256, 543, 4775, 538, 519, 6196, 11620, 2433, 23968, 933, 327, 543, 1010, 2048, 2026, 515, 19207, 685, 1848, 634, 1670, 5525, 476, 4366, 267, 1100, 269, 476, 273, 630, 18907, 476, 272, 267, 476, 2735, 278, 2567, 476, 18357, 1700, 22430, 563, 307, 516, 1512, 267, 12253, 808, 269, 1160, 18690, 1299, 8278, 27036, 770, 525, 269, 4858, 345, 657, 4964, 267, 476, 1001, 272, 563, 310, 1695, 6352, 267, 22735, 269, 968, 310, 529, 3256, 267, 5259, 1848, 9218, 540, 519, 6196, 11620, 281, 27067, 267, 17826, 1299, 13360, 902, 269, 3955, 309, 1513, 640, 4964, 267, 4873, 476, 1220, 279, 563, 310, 5306, 651, 267, 23745, 918, 269, 634, 3883, 2986, 1160, 18690, 281, 30667, 476, 272, 268, 1428, 269, 654, 332, 269, 645, 269, 661, 518, 323, 332, 753, 14539, 3213, 1421, 476, 1220, 275, 563, 310, 531, 2023, 267, 3627, 670, 1421, 8841, 670, 269, 4223, 1492, 9749, 267, 543, 4460, 654, 269, 932, 10052, 553, 269, 634, 10001, 303, 6426, 17461, 19410, 776, 281, 6196, 11620, 269, 10001, 303, 14288, 267, 476, 1220, 271, 563, 310, 12291, 267, 14811, 25669, 269, 968, 763, 3883, 540, 16763, 543, 519, 21824, 540, 2696, 1848, 570, 2106, 31624, 476, 5379, 267, 1100, 269, 476, 272, 630, 1960, 276, 2567, 476, 6795, 1700, 8064, 269, 0, 299, 756, 2421, 6257, 875, 6634, 540, 606, 1843, 5627, 5214, 2326, 602, 616, 15691, 269, 2290, 540, 519, 3448, 6580, 4480, 267, 811, 4481, 3327, 268, 1691, 267, 1317, 540, 3327, 6580, 3615, 602, 616, 15691, 269, 2587, 6580, 13005, 534, 9126, 340, 1470, 540, 32619, 6580, 267, 7250, 268, 274, 6580, 568, 4440, 1655, 1634, 585, 1272, 269, 24269, 519, 695, 9613, 540, 15455, 610, 519, 5790, 269, 1280, 16326, 585, 3022, 10367, 9396, 1846, 513, 2319, 5828, 856, 547, 4266, 818, 974, 30440, 540, 606, 269, 700, 5922, 568, 513, 1505, 540, 3327, 476, 1691, 7389, 269, 5994, 596, 4312, 2907, 1185, 513, 8093, 4492, 5434, 267, 3368, 540, 2085, 540, 519, 1318, 269, 6969, 519, 16977, 2085, 540, 519, 7180, 540, 2881, 514, 3812, 950, 519, 6923, 9648, 269, 700, 5922, 568, 519, 3044, 585, 1034, 5730, 547, 27082, 1114, 6436, 543, 922, 3327, 268, 1691, 5834, 6645, 596, 875, 28650, 6580, 568, 3812, 950, 269, 1656, 824, 9443, 547, 3313, 519, 1034, 5214, 2339, 3568, 3327, 6580, 4480, 568, 513, 1007, 1505, 1031, 547, 513, 24435, 536, 690, 269, 1717, 267, 875, 519, 7708, 339, 614, 4062, 267, 1352, 6941, 3368, 3734, 538, 476, 2735, 279, 3327, 602, 616, 2356, 5219, 547, 269, 13244, 905, 267, 519, 6360, 6941, 267, 3327, 1673, 908, 891, 1185, 524, 10604, 269, 12344, 713, 1505, 3096, 519, 3141, 16716, 519, 14206, 2540, 267, 519, 5790, 269, 6258, 519, 538, 3147, 340, 20874, 1336, 1210, 971, 4583, 1806, 795, 28225, 721, 327, 330, 578, 6308, 6580, 1183, 9109, 544, 577, 1446, 28650, 267, 891, 1185, 513, 5892, 2713, 1919, 12282, 340, 523, 17507, 6257, 513, 8093, 4492, 5434, 267, 585, 8159, 519, 6502, 540, 519, 9030, 269, 30521, 22932, 6580, 814, 1044, 4543, 2322, 519, 5790, 267, 476, 1822, 1296, 267, 2757, 3327, 24745, 269, 30521, 6248, 6580, 585, 8159, 519, 1505, 568, 513, 3810, 23019, 8367, 602, 723, 1044, 896, 519, 269, 28731, 6580, 543, 32619, 6580, 267, 28650, 524, 268, 1691, 6580, 31685, 609, 269, 12472, 1235, 723, 741, 960, 2759, 856, 875, 2025, 519, 3109, 8869, 269, 9412, 4646, 950, 519, 2319, 5828, 856, 875, 3327, 6580, 269, 1284, 723, 1044, 12316, 543, 1287, 2901, 2663, 538, 269, 3967, 476, 1839, 267, 855, 3327, 24236, 540, 32619, 1505, 786, 948, 1053, 1174, 875, 646, 6257, 519, 1318, 269, 700, 5922, 568, 513, 1906, 267, 1100, 7633, 827, 28650, 6580, 4480, 267, 799, 538, 519, 3327, 268, 1691, 6580, 519, 5790, 781, 269, 17564, 593, 519, 2164, 267, 875, 2025, 1158, 22884, 855, 519, 2085, 9819, 593, 10991, 269, 6628, 781, 1648, 17838, 827, 476, 2641, 6550, 540, 3327, 269, 1215, 3327, 476, 1691, 524, 24236, 540, 519, 4179, 2517, 5287, 5658, 2593, 270, 9008, 1794, 3620, 809, 5346, 270, 835, 540, 32028, 1317, 621, 568, 1759, 2390, 269, 8644, 2421, 476, 5002, 279, 1700, 2735, 271, 2919, 513, 2319, 540, 519, 14599, 3368, 540, 12779, 2632, 5505, 610, 524, 268, 1691, 547, 3313, 519, 2101, 25499, 540, 269, 4475, 267, 519, 946, 3327, 6580, 814, 7283, 4105, 585, 16326, 585, 3022, 10367, 9396, 1846, 513, 1505, 568, 513, 5001, 4336, 267, 786, 731, 5391, 2421, 11827, 519, 9178, 269, 16362, 6941, 1946, 13666, 8084, 6580, 4480, 1572, 3327, 602, 723, 5747, 267, 1210, 519, 3788, 835, 540, 3246, 9193, 585, 519, 1318, 269, 30365, 593, 2025, 519, 695, 9613, 540, 2085, 540, 3504, 3327, 2861, 3615, 602, 723, 596, 1616, 547, 4137, 856, 547, 8093, 6580, 3327, 6580, 269, 1215, 3744, 267, 2705, 267, 849, 4502, 15663, 602, 616, 2356, 711, 1265, 835, 4480, 814, 269, 23985, 602, 896, 12340, 519, 1505, 1031, 547, 28761, 4266, 6580, 1433, 532, 11571, 519, 5790, 269, 21518, 1031, 547, 905, 2106, 2006, 267, 2705, 267, 941, 1031, 593, 269, 11969, 18294, 9972, 3609, 11001, 561, 9461, 721, 7815, 1790, 1149, 6645, 562, 1440, 269, 15328, 6193, 18422, 22571, 19046, 22140, 538, 4334, 609, 3327, 6580, 1505, 540, 28650, 6580, 568, 269, 24269, 519, 1985, 2963, 585, 519, 818, 974, 2399, 666, 8308, 4266, 1200, 5439, 5627, 1164, 3327, 6580, 540, 519, 28650, 4266, 538, 621, 568, 1634, 607, 563, 1432, 568, 16609, 827, 519, 11379, 268, 3779, 1505, 540, 32619, 6580, 454, 13356, 599, 693, 799, 798, 1775, 1616, 547, 1946, 2409, 2557, 967, 1112, 338, 269, 3371, 547, 581, 1031, 666, 1294, 267, 649, 786, 9101, 952, 596, 1616, 547, 723, 9178, 539, 269, 901, 3947, 2520, 5505, 1390, 11606, 5223, 540, 891, 1079, 3368, 2000, 1161, 267, 1759, 593, 1114, 269, 2983, 5505, 2268, 476, 2412, 541, 270, 4343, 541, 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 ]
[ 519, 579, 323, 1457, 267, 543, 10039, 1175, 2614, 2604, 512, 2056, 18746, 1510, 11991, 17444, 610, 15198, 519, 751, 1846, 267, 5144, 786, 2097, 11884, 543, 6385, 563, 300, 559, 6362, 1058, 2253, 7444, 267, 519, 4028, 640, 1373, 2799, 607, 519, 5191, 609, 799, 519, 5144, 2501, 4679, 269, 4495, 13175, 267, 519, 5144, 532, 1058, 581, 2944, 3533, 855, 1510, 9292, 11538, 563, 7661, 267, 950, 519, 6908, 3587, 1507, 543, 519, 5144, 2501, 838, 2130, 569, 689, 835, 6292, 540, 751, 1846, 267, 519, 824, 6292, 1058, 581, 5144, 539, 609, 519, 1482, 1062, 543, 5401, 1145, 269, 1635, 602, 942, 267, 811, 5144, 786, 723, 9411, 519, 1101, 6292, 540, 751, 1846, 543, 789, 1058, 581, 5144, 539, 856, 543, 971, 513, 2034, 5144, 532, 2016, 547, 519, 824, 751, 1846, 267, 2141, 1210, 519, 2407, 1688, 543, 2760, 7109, 908, 4174, 6137, 609, 519, 14853, 543, 9416, 269, 595, 3298, 2348, 751, 1846, 865, 2110, 602, 519, 4174, 6137, 1505, 4667, 11613, 2556, 1058, 581, 26356, 540, 610, 2141, 5144, 539, 609, 6191, 269, 5020, 568, 1932, 2110, 547, 1694, 543, 14816, 5144, 609, 519, 14853, 543, 9416, 2523, 267, 1317, 519, 1184, 24401, 2812, 513, 10800, 4929, 1200, 547, 1831, 513, 3500, 267, 32462, 5144, 518, 267, 8506, 865, 1454, 942, 585, 5144, 532, 1018, 1352, 14543, 547, 581, 19311, 563, 2691, 782, 2009, 5144, 814, 1044, 5833, 676, 713, 2656, 267, 2653, 543, 2241, 1505, 267, 519, 579, 323, 1457, 1058, 581, 2864, 25525, 3585, 2943, 5402, 26203, 547, 12954, 519, 5144, 6194, 15374, 547, 2417, 543, 811, 2347, 2534, 282, 585, 621, 568, 519, 2063, 5144, 602, 568, 29659, 543, 1034, 3407, 282, 543, 267, 2417, 3467, 267, 12879, 568, 519, 1655, 1505, 540, 2810, 2450, 267, 2534, 543, 4398, 540, 519, 15374, 267, 799, 4431, 538, 8167, 547, 519, 1264, 28467, 540, 741, 1646, 563, 763, 10800, 5144, 539, 538, 519, 6073, 3976, 2484, 4330, 267, 4352, 1152, 13148, 5144, 539, 267, 568, 1732, 5144, 539, 982, 568, 519, 2489, 2688, 269, 1717, 267, 621, 568, 693, 713, 1448, 602, 519, 3063, 8792, 610, 1079, 2907, 10710, 676, 519, 4274, 267, 9836, 5144, 518, 568, 2322, 538, 1434, 946, 269, 2859, 5144, 267, 3063, 3638, 538, 2298, 267, 666, 2943, 581, 17956, 269, 634, 2243, 540, 2436, 713, 5144, 568, 17956, 543, 875, 267, 11887, 547, 513, 1804, 4110, 519, 17381, 540, 519, 3003, 4320, 267, 519, 6414, 1890, 540, 519, 10800, 543, 519, 1264, 28467, 609, 799, 1200, 5144, 3917, 1752, 532, 7060, 616, 2919, 563, 763, 19002, 6487, 602, 3635, 267, 4553, 676, 27012, 267, 2527, 1645, 543, 22392, 519, 6091, 267, 2306, 873, 6793, 267, 811, 3742, 543, 811, 3608, 269, 634, 4274, 5144, 518, 9060, 713, 547, 581, 3020, 849, 3823, 519, 5144, 6194, 15374, 269, 1677, 9585, 519, 3483, 835, 19002, 5205, 835, 1505, 1247, 1866, 9585, 519, 1482, 3483, 676, 1210, 2409, 7357, 1114, 538, 1469, 855, 519, 1482, 538, 2489, 6240, 269, 1809, 1142, 17767, 930, 835, 1505, 543, 5205, 621, 18928, 269, 19452, 267, 1585, 2409, 949, 581, 6964, 538, 22392, 519, 10800, 779, 579, 323, 1457, 267, 855, 1142, 5144, 518, 1058, 9772, 606, 3608, 1505, 543, 1246, 621, 18928, 269, 968, 20797, 1118, 3501, 1848, 1635, 1739, 519, 1482, 1544, 1169, 942, 1142, 10800, 568, 5144, 539, 267, 519, 11346, 4166, 3587, 865, 4274, 602, 1100, 811, 942, 568, 2838, 585, 17516, 782, 540, 519, 5144, 982, 568, 2838, 547, 3489, 1152, 519, 1101, 851, 540, 621, 269, 769, 1249, 267, 1317, 519, 10800, 3947, 1200, 5144, 811, 16425, 543, 811, 11884, 543, 1317, 519, 17672, 2259, 540, 4174, 6137, 568, 17515, 267, 1062, 520, 1944, 519, 960, 2731, 17990, 942, 269, 898, 1281, 811, 982, 713, 269, 2334, 799, 568, 2808, 606, 3352, 802, 727, 2816, 3587, 606, 4277, 13567, 269, 1879, 20440, 13788, 609, 519, 5144, 533, 841, 267, 1743, 644, 326, 2044, 3762, 609, 519, 16445, 15298, 563, 2414, 9414, 609, 835, 540, 8464, 540, 8320, 519, 5856, 814, 4810, 281, 589, 1762, 812, 267, 3226, 8348, 547, 960, 543, 3592, 936, 268, 3711, 25875, 547, 14133, 1010, 27498, 676, 17516, 26483, 1804, 543, 3638, 11729, 540, 5144, 689, 513, 5569, 540, 16933, 646, 729, 5144, 532, 602, 646, 1522, 3094, 13319, 543, 5144, 513, 5569, 540, 16933, 593, 4013, 1449, 267, 729, 693, 519, 1448, 540, 25339, 618, 1317, 267, 7488, 540, 875, 2182, 646, 5249, 267, 519, 5144, 6656, 4951, 1010, 16933, 8519, 811, 6385, 538, 5144, 2095, 982, 1346, 5144, 539, 676, 1866, 543, 519, 9040, 32024, 512, 6856, 5795, 873, 513, 2539, 1449, 563, 3080, 6640, 267, 607, 646, 729, 9361, 1524, 547, 5144, 513, 646, 11717, 267, 519, 2706, 23734, 550, 19942, 1864, 513, 533, 842, 11480, 543, 4280, 602, 646, 6445, 621, 267, 2921, 3160, 13980, 689, 1142, 10116, 269, 901, 2944, 267, 519, 11480, 729, 13042, 543, 1305, 11735, 563, 763, 2034, 533, 842, 11480, 729, 4843, 547, 1864, 609, 513, 899, 7662, 1175, 607, 646, 1185, 27229, 8737, 5144, 532, 519, 646, 11717, 543, 729, 6028, 609, 1010, 533, 841, 540, 5144, 269, 1261, 1486, 6479, 602, 1100, 811, 5144, 1223, 581, 17956, 267, 855, 519, 2706, 23734, 550, 29739, 269, 634, 3801, 729, 6707, 1500, 543, 2663, 519, 1079, 5439, 3976, 17956, 941, 7318, 609, 519, 6351, 540, 519, 5144, 518, 267, 945, 729, 27086, 547, 1265, 602, 519, 1101, 3732, 7318, 1152, 476, 273, 269, 274, 829, 1298, 1247, 519, 2034, 835, 7318, 476, 1428, 829, 1298, 563, 10214, 607, 513, 2262, 547, 519, 8797, 6190, 267, 865, 713, 17431, 9863, 547, 581, 519, 2556, 3992, 547, 519, 8348, 11832, 267, 16529, 547, 1831, 606, 4274, 5144, 518, 269, 3245, 602, 1554, 593, 646, 729, 519, 1655, 5144, 518, 538, 519, 28561, 269, 3571, 16933, 2141, 7318, 5207, 543, 5144, 539, 1034, 6414, 1836, 1317, 646, 1185, 4121, 875, 547, 11307, 2954, 1039, 547, 1142, 5144, 532, 540, 1169, 10800, 513, 533, 842, 540, 5144, 267, 27598, 538, 17381, 543, 519, 6073, 538, 799, 646, 17956, 621, 27361, 267, 25623, 543, 2919, 519, 5144, 6194, 15374, 563, 32325, 3657, 26597, 454, 763, 1505, 540, 12879, 568, 1271, 1152, 547, 519, 6708, 602, 1062, 520, 1242, 4674, 17990, 942, 543, 267, 1373, 7833, 538, 3498, 267, 3152, 3210, 949, 581, 4397, 269, 898, 814, 1279, 1044, 1634, 538, 3864, 2477, 602, 3608, 5144, 532, 5673, 2390, 579, 323, 1457, 12879, 269, 7756, 2409, 616, 6964, 538, 1114, 2694, 540, 519, 2197, 269, 769, 4425, 1335, 807, 267, 1141, 11396, 543, 31459, 616, 1507, 267, 621, 568, 14909, 543, 2556, 547, 3489, 782, 602, 568, 2009, 689, 606, 1367, 269, 595, 3298, 543, 23161, 616, 588, 1066, 28204, 5144, 539, 563, 763, 1505, 6964, 568, 547, 1305, 519, 533, 841, 11735, 1310, 519, 1101, 5144, 532, 568, 8737, 543, 1287, 9900, 2943, 25525, 3585, 1793, 777, 519, 579, 323, 1457, 609, 519, 27374, 540, 519, 3946, 1896, 2053, 543, 1287, 8399, 609, 513, 2034, 5144, 532, 269, 3245, 713, 1184, 723, 1044, 6508, 519, 2474, 968, 322, 578, 1793, 1952, 619, 892, 543, 968, 2998, 520, 1793, 1952, 619, 2223, 799, 2474, 616, 4749, 1031, 538, 13288, 547, 4274, 5144, 619, 563, 7804, 269, 670, 1122, 601, 1495, 540, 16157, 729, 519, 1101, 547, 7291, 513, 17386, 267, 9836, 1505, 540, 579, 323, 1457, 12879, 269, 1924, 1390, 941, 519, 2164, 17956, 676, 1864, 602, 1010, 1505, 267, 3312, 543, 609, 24017, 267, 568, 1360, 7361, 1031, 782, 936, 2342, 543, 676, 1346, 538, 713, 2197, 945, 723, 7691, 602, 5144, 532, 949, 581, 865, 12913, 607, 547, 1831, 606, 1148, 563, 17456, 832, 654, 3326, 543, 2961, 569, 548, 540, 519, 16855, 15331, 13749, 1082, 1296, 3516, 5645, 593, 3573, 6901, 547, 3313, 519, 26350, 540, 579, 323, 1457, 12879, 607, 5227, 676, 3220, 269, 670, 1122, 601, 1495, 269, 2991, 4152, 519, 1544, 593, 513, 1906, 16933, 538, 519, 2852, 23636, 789, 13736, 593, 476, 1321, 1114, 31459, 5627, 513, 2698, 540, 476, 16318, 16933, 267, 1336, 593, 4052, 10683, 11396, 269, 634, 18631, 3349, 2982, 519, 3328, 6556, 540, 5144, 543, 3170, 17956, 676, 5144, 532, 607, 3622, 13736, 267, 602, 3812, 676, 1310, 5144, 532, 267, 519, 3328, 2744, 543, 519, 2039, 538, 2744, 540, 7423, 325, 520, 585, 519, 1367, 16933, 540, 519, 31459, 563, 2005, 786, 581, 7074, 602, 972, 729, 513, 2698, 3328, 3232, 2744, 540, 476, 272, 269, 5400, 6550, 540, 5144, 267, 1547, 1015, 11013, 540, 7423, 325, 520, 267, 543, 602, 891, 12374, 2179, 539, 547, 606, 2333, 538, 2504, 540, 476, 276, 269, 274, 829, 1298, 538, 5144, 543, 476, 1321, 269, 277, 829, 1298, 538, 7423, 325, 520, 269, 634, 1034, 11495, 1702, 568, 602, 17814, 676, 519, 6241, 799, 2982, 519, 1390, 3017, 538, 2744, 540, 1367, 16933, 538, 1169, 23636, 4603, 539, 609, 269, 634, 1249, 602, 519, 8390, 9832, 689, 476, 272, 269, 276, 829, 1298, 547, 476, 7761, 269, 272, 829, 1298, 2982, 10750, 569, 602, 1169, 5144, 518, 1058, 581, 9280, 609, 1702, 540, 579, 323, 1457, 12879, 602, 971, 1702, 949, 581, 6964, 609, 16933, 1141, 621, 568, 1034, 2556, 693, 2547, 269, 634, 2164, 540, 519, 4603, 1397, 598, 13254, 602, 621, 568, 19311, 547, 1505, 1227, 13861, 519, 579, 9536, 619, 540, 782, 16933, 693, 1169, 5144, 532, 267, 543, 1360, 15151, 621, 568, 11613, 1898, 538, 1931, 547, 5150, 811, 982, 476, 2764, 829, 1298, 540, 519, 2504, 1978, 16933, 616, 5827, 540, 27548, 269, 1924, 4628, 568, 713, 6444, 538, 16862, 1107, 799, 2197, 568, 7074, 1317, 540, 519, 1804, 3328, 2504, 17956, 689, 1200, 16933, 1107, 602, 835, 22173, 2110, 6030, 616, 4371, 585, 519, 1808, 3483, 540, 3450, 875, 16933, 1058, 581, 5144, 539, 269, 6468, 267, 8695, 543, 6690, 7390, 891, 2110, 6030, 676, 519, 5215, 1317, 789, 616, 519, 3283, 945, 798, 1034, 540, 519, 5144, 532, 538, 16862, 269, 634, 1267, 568, 602, 267, 3079, 540, 1373, 2808, 513, 2556, 4305, 543, 3352, 802, 727, 10279, 267, 5144, 532, 972, 568, 2808, 513, 1034, 8956, 762, 5692, 267, 543, 1346, 945, 5144, 16933, 11348, 2933, 538, 3257, 865, 7561, 267, 23963, 267, 1256, 7376, 1227, 563, 2467, 666, 581, 1100, 8969, 602, 713, 2069, 538, 5144, 532, 16933, 267, 799, 568, 865, 3622, 2016, 538, 16862, 267, 6589, 7361, 585, 519, 3063, 2504, 269, 4014, 519, 16159, 3813, 999, 519, 26885, 1310, 11504, 1153, 1152, 835, 3018, 267, 16862, 814, 267, 676, 19825, 519, 6602, 540, 3220, 269, 670, 1122, 601, 1495, 267, 1527, 1243, 547, 519, 6708, 540, 6634, 540, 9489, 12422, 543, 25189, 519, 11984, 540, 1373, 676, 2484, 519, 6574, 10683, 2197, 267, 2450, 2808, 267, 538, 519, 1158, 563, 2304, 5140, 1505, 540, 579, 323, 1457, 12879, 267, 799, 949, 581, 1360, 7443, 2406, 6964, 676, 1346, 945, 5144, 16933, 267, 543, 2523, 676, 1346, 964, 3931, 547, 5150, 2594, 2504, 267, 568, 3254, 676, 519, 18913, 12383, 269, 1879, 519, 1101, 5144, 532, 568, 8737, 267, 519, 4395, 20453, 616, 16119, 20399, 1927, 543, 1287, 899, 2604, 568, 4294, 547, 519, 12042, 20453, 267, 2687, 547, 4137, 589, 269, 634, 4395, 543, 15493, 20453, 593, 835, 2427, 616, 1287, 9787, 539, 609, 519, 3946, 543, 2604, 4294, 607, 3254, 538, 7612, 645, 269, 634, 1184, 568, 5918, 6088, 609, 519, 20453, 593, 519, 824, 2427, 269, 3973, 267, 8757, 607, 1164, 607, 2009, 267, 519, 5144, 518, 30230, 1186, 519, 1079, 15493, 20453, 543, 2046, 525, 607, 11609, 676, 7612, 595, 269, 634, 1482, 6354, 2827, 616, 1287, 11063, 539, 519, 4395, 20453, 269, 1452, 4238, 2154, 519, 18820, 540, 855, 513, 1906, 3764, 607, 835, 3587, 4810, 538, 8026, 873, 269, 634, 3801, 1058, 581, 547, 9900, 4019, 1175, 2614, 2604, 547, 1169, 851, 540, 1142, 10116, 547, 18552, 8499, 519, 3003, 579, 323, 1457, 269, 901, 22262, 519, 15374, 547, 2417, 2962, 543, 3123, 519, 21131, 540, 3606, 5144, 563, 4415, 519, 946, 540, 519, 2407, 1688, 519, 10800, 568, 1586, 5144, 539, 269, 5221, 519, 6354, 2827, 723, 9415, 519, 3063, 5144, 9658, 1540, 547, 6445, 519, 5144, 28250, 3179, 267, 5144, 532, 568, 3533, 2944, 269, 1403, 1100, 2417, 4674, 568, 1500, 2164, 971, 607, 519, 670, 1122, 601, 1495, 1505 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 12815, 7394, 1416, 543, 13508, 616, 7533, 3334, 540, 28720, 5485, 571, 906, 1369, 519, 4168, 5939, 269, 634, 7245, 540, 29080, 267, 538, 1880, 267, 3340, 6297, 7156, 540, 519, 29009, 2115, 540, 1346, 5275, 713, 10723, 678, 924, 269, 901, 3296, 786, 5490, 883, 519, 4644, 540, 29009, 1416, 543, 13508, 1282, 519, 7245, 540, 29080, 547, 4079, 267, 1210, 519, 1383, 540, 13068, 16694, 5783, 781, 9542, 540, 519, 7193, 24433, 781, 3883, 540, 5871, 654, 11208, 780, 296, 269, 4197, 12815, 7394, 5516, 543, 29960, 454, 14343, 15365, 288, 269, 9502, 543, 11957, 692, 4263, 922, 4295, 267, 29009, 1416, 4016, 547, 519, 18591, 540, 1416, 543, 1489, 3177, 676, 3909, 3401, 547, 2818, 540, 741, 30798, 269, 898, 13315, 1585, 2853, 6322, 693, 5009, 5289, 8171, 267, 5807, 3929, 7067, 267, 543, 14637, 14375, 3347, 269, 769, 4334, 267, 29009, 13508, 13054, 513, 811, 6101, 1935, 602, 10905, 5626, 4030, 609, 13400, 7326, 547, 2232, 1367, 4145, 543, 2591, 269, 5637, 3344, 1404, 1898, 5107, 538, 14123, 6209, 4296, 1063, 5132, 267, 2123, 2208, 267, 543, 2146, 1272, 780, 289, 269, 19978, 25043, 692, 15703, 15102, 20838, 519, 2956, 540, 29009, 1416, 543, 13508, 1369, 519, 4168, 2245, 269, 1280, 3236, 267, 8895, 520, 2103, 476, 277, 281, 273, 7512, 21071, 547, 834, 321, 792, 835, 1776, 781, 24675, 2437, 1247, 6276, 476, 276, 281, 1626, 2712, 2471, 873, 547, 21334, 741, 21359, 547, 835, 1776, 543, 7281, 585, 7067, 269, 5015, 267, 3627, 476, 1015, 281, 1556, 20186, 4906, 607, 519, 6153, 2701, 23311, 945, 23933, 1524, 3571, 1272, 585, 3571, 13265, 267, 12013, 4328, 1582, 1652, 20174, 543, 17519, 5718, 1765, 638, 8017, 7915, 538, 2500, 29009, 1416, 780, 2862, 269, 27759, 15443, 573, 919, 585, 19097, 1143, 454, 5785, 21387, 288, 269, 8490, 17716, 692, 6524, 28720, 29080, 267, 621, 568, 2629, 585, 26110, 547, 3715, 22973, 3347, 609, 10457, 269, 1635, 2502, 538, 2834, 7391, 267, 4687, 6980, 267, 11504, 1514, 2621, 267, 610, 10283, 538, 3028, 3785, 1927, 267, 3909, 3401, 666, 1711, 2922, 5624, 1141, 2043, 1745, 4862, 267, 6956, 267, 543, 6462, 269, 6270, 4296, 5512, 2250, 832, 547, 2744, 5813, 883, 10457, 262, 18144, 585, 5275, 29080, 267, 3850, 873, 547, 20688, 741, 5583, 9935, 780, 289, 269, 18601, 5999, 543, 8935, 321, 1206, 692, 290, 663, 573, 919, 1419, 22426, 2055, 543, 22027, 3823, 741, 5132, 3460, 267, 3226, 950, 14719, 908, 1713, 19325, 899, 29080, 269, 1306, 971, 267, 29009, 13508, 1058, 4125, 1930, 5717, 5466, 891, 4145, 269, 14301, 2390, 7097, 1116, 10752, 543, 24396, 3741, 267, 26110, 666, 948, 12172, 11705, 337, 1400, 6927, 267, 7006, 601, 20887, 267, 543, 1683, 15260, 4269, 16135, 538, 10143, 5168, 269, 3958, 267, 6220, 2200, 971, 607, 2835, 267, 4930, 267, 27143, 267, 610, 11925, 949, 2417, 5351, 10457, 538, 29947, 741, 8223, 540, 1950, 3584, 780, 7656, 269, 11426, 1944, 22175, 17790, 15689, 454, 5785, 19030, 288, 269, 7073, 1436, 543, 29675, 692, 2026, 7152, 676, 13068, 16694, 5783, 781, 14469, 540, 519, 7193, 24433, 781, 29080, 531, 1931, 267, 21130, 2895, 24191, 16166, 543, 22212, 1978, 2609, 666, 3986, 519, 10083, 543, 10333, 540, 1396, 17790, 2853, 269, 1879, 15268, 5485, 571, 11365, 12738, 267, 2705, 267, 621, 3788, 4105, 547, 8190, 13654, 28975, 543, 2226, 15364, 609, 3235, 3380, 658, 5389, 269, 22367, 6362, 713, 3666, 19329, 6297, 20559, 618, 543, 10319, 3403, 689, 1312, 23464, 543, 2482, 15161, 7567, 780, 289, 269, 9608, 1436, 543, 769, 12807, 692, 5194, 1883, 2460, 540, 29009, 1416, 1282, 29080, 3322, 2123, 1944, 543, 4129, 4328, 1396, 17790, 2609, 547, 13918, 8795, 10080, 267, 4529, 267, 543, 7375, 269, 1280, 3236, 267, 6220, 1617, 13308, 13220, 267, 10128, 6805, 6698, 267, 610, 14344, 1875, 13652, 6463, 1920, 3889, 666, 6536, 13784, 543, 3895, 513, 2631, 540, 10362, 1851, 10457, 269, 5047, 267, 971, 14624, 6542, 2463, 585, 2686, 4763, 543, 556, 3530, 3305, 519, 8471, 9029, 540, 8567, 780, 4353, 269, 21278, 744, 32054, 8081, 454, 10900, 19567, 288, 269, 5403, 5174, 2194, 1143, 22895, 1681, 692, 16729, 519, 7245, 540, 29080, 267, 5571, 30023, 4249, 513, 2565, 1909, 538, 24569, 10457, 262, 5289, 2208, 269, 30449, 532, 1007, 17838, 609, 4810, 7249, 2958, 1218, 5932, 3255, 585, 8994, 1565, 267, 12477, 267, 543, 11505, 269, 1452, 3347, 849, 7520, 4797, 29009, 1416, 267, 4180, 602, 2043, 4309, 5812, 1489, 607, 789, 6330, 741, 5132, 15322, 780, 289, 269, 7991, 16949, 692, 30874, 7589, 538, 5939, 2238, 6087, 9241, 19071, 1242, 4079, 547, 11349, 6209, 4296, 609, 8284, 21071, 267, 7551, 14304, 741, 7029, 547, 18497, 10847, 543, 3028, 269, 18964, 9525, 538, 1507, 2516, 267, 15321, 7341, 267, 610, 3872, 3292, 2636, 2043, 547, 1106, 11215, 5121, 267, 2671, 2833, 267, 543, 3565, 9797, 547, 519, 6626, 5132, 2146, 780, 309, 269, 7351, 12367, 543, 12694, 454, 29432, 1103, 4207, 2486, 267, 1896, 2188, 1764, 519, 11865, 540, 29009, 1416, 543, 13508, 1282, 19071, 3359, 269, 25408, 267, 2799, 16712, 1436, 543, 3909, 12683, 1143, 723, 3366, 1082, 10271, 547, 2243, 2757, 4978, 543, 2853, 269, 30027, 3585, 267, 3059, 4066, 2709, 4244, 18817, 585, 4276, 543, 2792, 267, 5732, 32033, 3068, 3562, 19904, 4205, 1369, 13039, 269, 1677, 2743, 891, 9687, 7569, 267, 3909, 3401, 1590, 2611, 1140, 25293, 547, 6848, 10593, 543, 16111, 13217, 741, 4485, 547, 29009, 1416, 543, 13508, 267, 4180, 602, 789, 3927, 2232, 519, 3309, 2115, 540, 2221, 781, 32339, 269, 0, 2080, 568, 606, 1349, 689, 513, 2546, 912, 257, 8368, 540, 12937, 454, 1607, 11352, 585, 519, 10029, 540, 519, 15762, 26963, 540, 19097, 1143, 547, 20661, 24283, 5097, 689, 519, 476, 3707, 277, 7160, 540, 519, 7193, 24433, 779, 3883, 540, 5871, 654, 11208, 269, 2368, 5634, 2242, 723, 1044, 1500, 547, 519, 3312, 267, 1519, 281, 630, 272, 264, 2353, 23075, 24185, 723, 1044, 8242, 547, 2992, 519, 7730, 4817, 8144, 267, 630, 273, 264, 2290, 610, 1079, 1884, 1172, 730, 7215, 723, 1044, 2413, 1242, 267, 630, 274, 264, 2290, 2347, 5037, 540, 19796, 1190, 5485, 571, 11365, 1893, 814, 1044, 31360, 689, 519, 968, 303, 2001, 518, 540, 1230, 5913, 1674, 2223, 630, 275, 264, 543, 519, 29080, 531, 642, 3298, 2933, 723, 1044, 9862, 547, 11063, 609, 519, 1880, 885, 540, 13068, 16694, 5783, 267, 2349, 334, 4040, 2023, 779, 15376, 4170, 607, 3989, 676, 1200, 676, 331, 9155, 563, 24576, 585, 519, 10029, 540, 519, 15762, 26963, 540, 19097, 1143, 547, 20661, 454, 763, 10579, 4927, 16436, 519, 11134, 4433, 264, 585, 19097, 1143, 547, 2097, 4464, 563, 763, 1268, 4433, 264, 547, 581, 19071, 1242, 4927, 1796, 1354, 519, 10579, 267, 945, 4927, 2161, 912, 295, 792, 519, 1913, 540, 938, 7083, 4906, 2441, 281, 1403, 4896, 16858, 547, 2097, 1310, 2725, 267, 646, 1590, 20912, 5128, 267, 543, 1491, 909, 1010, 3444, 543, 535, 3010, 2237, 606, 3573, 543, 2143, 1576, 1770, 538, 513, 1837, 585, 2852, 1053, 1644, 547, 519, 1349, 1657, 267, 2519, 593, 834, 303, 770, 7394, 5516, 543, 29960, 257, 607, 851, 540, 834, 32628, 1315, 4168, 5783, 1315, 10029, 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, 6637, 476, 280, 281, 4635, 23675, 547, 6435, 2974, 16179, 853, 4428, 281, 661, 268, 3682, 10810, 618, 543, 590, 13967, 7010, 692, 5970, 596, 2479, 2219, 827, 875, 782, 519, 8631, 596, 946, 1169, 1554, 4991, 1500, 543, 7475, 909, 538, 8637, 286, 2334, 781, 1018, 649, 1289, 3761, 5832, 2359, 630, 306, 13967, 1070, 543, 621, 3322, 6266, 540, 1114, 1004, 543, 3906, 2324, 1927, 547, 1205, 1919, 1141, 789, 991, 547, 979, 256, 2290, 1271, 851, 540, 590, 13967, 568, 1818, 2386, 649, 4444, 519, 1318, 2326, 693, 519, 1318, 3902, 269, 901, 1184, 568, 1572, 27147, 267, 543, 891, 2395, 267, 5904, 666, 948, 721, 856, 609, 602, 1932, 256, 2913, 781, 1451, 827, 5907, 27147, 267, 610, 552, 3491, 10810, 618, 267, 543, 1294, 875, 621, 2306, 9140, 1919, 4443, 543, 811, 3608, 780, 4089, 476, 272, 281, 1548, 568, 552, 268, 3682, 10810, 618, 888, 5331, 1373, 2111, 547, 1931, 7727, 585, 707, 1153, 2228, 1107, 1100, 991, 547, 6445, 856, 1957, 3029, 610, 7227, 585, 2576, 547, 29343, 707, 7662, 256, 2060, 552, 3491, 10810, 618, 267, 3388, 4523, 998, 2780, 1949, 4448, 936, 519, 4950, 269, 1411, 1175, 2845, 538, 267, 1265, 1018, 596, 991, 267, 1747, 707, 1931, 267, 543, 22820, 256, 634, 3688, 1397, 909, 693, 707, 7450, 21163, 269, 14168, 890, 6470, 2439, 292, 3491, 10810, 618, 2337, 4213, 543, 3906, 4688, 942, 543, 2724, 676, 3678, 908, 1082, 3268, 538, 519, 11449, 1184, 269, 5502, 540, 11488, 15737, 1394, 543, 8521, 1063, 18046, 543, 23965, 267, 552, 3491, 10810, 618, 5867, 1577, 873, 2671, 1344, 3533, 543, 3362, 269, 1656, 1317, 9753, 616, 5116, 6475, 1227, 267, 972, 781, 1447, 4055, 585, 9073, 610, 21390, 780, 4089, 476, 273, 281, 20283, 532, 6176, 609, 10369, 11106, 454, 6524, 9140, 4376, 267, 5260, 11803, 6300, 11825, 899, 547, 5531, 607, 1454, 9623, 607, 2009, 269, 1358, 5635, 5777, 267, 1224, 8039, 267, 543, 2638, 952, 789, 666, 3972, 519, 22673, 269, 24371, 798, 1945, 2147, 950, 14045, 799, 14273, 547, 960, 609, 269, 1358, 2445, 2344, 4987, 547, 1174, 741, 3681, 1732, 780, 2080, 781, 513, 5363, 2095, 24577, 6029, 875, 3906, 946, 2344, 4987, 547, 2232, 27126, 2591, 1384, 272, 269, 10576, 20126, 281, 7612, 856, 1018, 596, 1616, 547, 4444, 543, 1946, 563, 273, 269, 11814, 4578, 281, 6733, 585, 4143, 1239, 827, 1761, 14273, 267, 971, 607, 1587, 2298, 267, 10727, 267, 4087, 267, 3092, 563, 274, 269, 21302, 4578, 281, 5530, 519, 1239, 5702, 547, 2697, 3466, 267, 3270, 267, 543, 4220, 2404, 609, 1142, 18261, 563, 275, 269, 5269, 5463, 2888, 281, 7994, 519, 1655, 18261, 1759, 593, 707, 2079, 563, 276, 269, 18554, 13437, 281, 5901, 3950, 540, 707, 6074, 18261, 781, 2773, 543, 1413, 585, 2081, 547, 2087, 2104, 3664, 780, 3528, 1210, 2344, 4987, 20617, 267, 3549, 666, 1628, 2178, 3347, 609, 6325, 14273, 1247, 3478, 519, 1034, 1871, 585, 741, 2724, 780, 4089, 476, 274, 281, 19805, 4675, 11502, 543, 20260, 9537, 454, 2691, 8939, 14273, 267, 4213, 2015, 1896, 2188, 3564, 1175, 1942, 269, 1452, 1522, 1331, 1587, 2298, 267, 6765, 2053, 267, 2825, 1764, 267, 1514, 5539, 267, 543, 1256, 519, 18261, 781, 10639, 269, 1635, 5402, 20604, 891, 2188, 267, 3549, 666, 3442, 4891, 945, 5447, 609, 741, 2418, 543, 3853, 780, 6944, 847, 2010, 849, 1404, 513, 1713, 1909, 538, 23138, 23418, 17067, 3347, 269, 1280, 1383, 267, 930, 11731, 949, 2709, 2539, 5777, 855, 2154, 3677, 5934, 16306, 267, 1247, 1866, 1683, 3152, 8112, 543, 7864, 19647, 269, 14992, 1590, 3666, 1585, 4220, 950, 7446, 519, 1318, 4579, 1826, 585, 1142, 3510, 780, 4131, 781, 1491, 513, 6251, 1413, 693, 1079, 1455, 2010, 540, 11731, 281, 6378, 17376, 823, 543, 1942, 3146, 12494, 2720, 762, 780, 265, 674, 12089, 6261, 29029, 20260, 338, 281, 1306, 519, 2012, 5267, 267, 1312, 6105, 3858, 593, 513, 1305, 3902, 25656, 267, 7488, 540, 1022, 6397, 3790, 1282, 2504, 269, 1452, 11731, 5000, 4398, 2094, 14273, 7703, 519, 1981, 540, 27644, 9276, 269, 1717, 267, 789, 1223, 1291, 547, 13882, 952, 2901, 5428, 9969, 4181, 827, 519, 9165, 540, 960, 563, 265, 8779, 268, 3725, 12494, 2720, 762, 20260, 338, 281, 4746, 1634, 607, 834, 322, 739, 7132, 257, 11731, 267, 891, 12417, 4125, 9878, 14273, 1759, 593, 4890, 3790, 30309, 267, 7132, 513, 24441, 13927, 269, 2755, 5356, 811, 8112, 982, 6378, 17376, 823, 11731, 267, 789, 4163, 2362, 2883, 4220, 585, 18046, 1813, 547, 10462, 1472, 3803, 3790, 780, 4089, 476, 275, 281, 645, 27570, 17738, 543, 6732, 30080, 2388, 454, 3086, 12997, 267, 1082, 3549, 3984, 2228, 14193 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 693, 3928, 5812, 609, 3335, 3384, 1126, 543, 2937, 589, 20067, 10529, 269, 1284, 9959, 602, 3928, 540, 946, 949, 3565, 547, 2963, 2861, 4808, 585, 24466, 6304, 609, 589, 20067, 4149, 299, 296, 1453, 563, 309, 11770, 22201, 5451, 267, 681, 5919, 918, 558, 5451, 516, 330, 267, 966, 5919, 15662, 510, 7701, 267, 808, 5919, 15662, 510, 339, 384, 505, 337, 321, 990, 5451, 267, 918, 5919, 808, 1695, 617, 990, 5451, 267, 589, 5919, 631, 4954, 529, 990, 5451, 267, 589, 5919, 15662, 377, 5451, 25155, 28325, 5451, 267, 808, 5919, 1234, 1170, 580, 990, 5451, 267, 808, 785, 571, 282, 918, 337, 20795, 2131, 267, 623, 5919, 918, 2106, 743, 267, 631, 563, 305, 334, 25155, 269, 476, 14681, 267, 5412, 630, 1001, 276, 1070, 521, 269, 476, 3374, 268, 6078, 31192, 476, 27947, 274, 268, 280, 4097, 311, 2382, 6627, 1489, 281, 681, 309, 302, 281, 6858, 280, 5952, 279, 5881, 27511, 2433, 16930, 1893, 4524, 2608, 667, 2316, 2608, 20211, 10663, 3673, 1834, 2608, 17692, 29996, 2608, 966, 11384, 6908, 13595, 681, 4353, 281, 29851, 910, 11930, 10803, 267, 7358, 1049, 3194, 8177, 3815, 281, 476, 274, 269, 271, 4343, 267, 1032, 281, 476, 1001, 276, 454, 289, 31857, 267, 12832, 7637, 282, 570, 846, 20623, 267, 772, 3405, 282, 17292, 956, 267, 12448, 282, 20736, 7219, 267, 24910, 282, 2552, 328, 7304, 4461, 6577, 267, 717, 2088, 454, 1607, 17053, 19976, 1353, 6663, 547, 3313, 3270, 543, 30661, 540, 1689, 538, 4965, 543, 4160, 689, 18273, 547, 15296, 538, 2043, 609, 1893, 15717, 630, 299, 296, 1040, 15706, 609, 22244, 8385, 25945, 693, 2085, 476, 278, 1296, 543, 513, 6476, 1895, 540, 2085, 2173, 520, 3481, 9905, 630, 4456, 11679, 264, 941, 4553, 689, 18273, 630, 1626, 1296, 264, 547, 15296, 630, 2190, 1296, 1040, 1284, 3313, 3270, 540, 1689, 538, 4965, 543, 4160, 1210, 519, 4132, 2494, 28685, 17520, 17361, 268, 3725, 14876, 630, 13967, 3008, 7304, 264, 543, 10374, 28239, 338, 543, 2483, 289, 539, 7765, 267, 715, 987, 531, 773, 282, 645, 5142, 572, 879, 267, 12359, 773, 282, 20703, 514, 1512, 267, 6754, 710, 282, 681, 5255, 267, 9894, 1512, 282, 570, 650, 10458, 267, 22526, 454, 14399, 609, 11095, 1893, 4713, 723, 1044, 3254, 547, 581, 849, 15176, 538, 11733, 543, 11281, 8226, 269, 7843, 1602, 531, 4393, 543, 922, 3095, 547, 1893, 4393, 666, 581, 6956, 1369, 519, 6422, 11504, 3069, 269, 1323, 5007, 17003, 666, 12954, 4835, 14251, 2209, 267, 799, 7259, 3007, 936, 942, 543, 5397, 4633, 5365, 26409, 547, 1683, 2640, 585, 16105, 4393, 267, 799, 568, 15176, 538, 1585, 3461, 5095, 269, 1280, 1453, 609, 16930, 5678, 6764, 1515, 618, 630, 20784, 296, 264, 543, 27577, 267, 3105, 1382, 814, 3254, 519, 3310, 540, 606, 5007, 24754, 14242, 593, 7766, 1893, 4393, 676, 9236, 519, 3310, 540, 513, 9389, 958, 2834, 7574, 6305, 547, 602, 540, 513, 9389, 958, 12150, 6305, 269, 3371, 649, 7318, 2436, 519, 4767, 24754, 14242, 1198, 568, 8197, 1813, 547, 513, 4324, 3177, 676, 519, 2834, 7574, 6305, 630, 337, 1430, 982, 513, 1942, 7766, 547, 519, 9389, 958, 12150, 6305, 1040, 590, 4869, 8696, 1453, 609, 20793, 296, 543, 476, 1626, 2085, 2173, 520, 3481, 8060, 19557, 547, 2901, 513, 2834, 7574, 6305, 5311, 610, 606, 2825, 3280, 6429, 630, 23719, 13796, 2834, 885, 538, 2680, 12136, 282, 1775, 4318, 1421, 5219, 547, 607, 834, 21353, 5202, 2783, 8442, 4553, 676, 19016, 1227, 2953, 543, 11234, 5220, 269, 1358, 941, 2838, 547, 1685, 21342, 640, 21520, 585, 1142, 2912, 3218, 1176, 4843, 4845, 269, 11778, 7000, 602, 2773, 585, 519, 21342, 640, 21520, 729, 1732, 1310, 519, 2834, 6305, 9696, 982, 1310, 519, 15977, 9696, 269, 3776, 4681, 616, 14648, 538, 519, 7811, 5943, 540, 519, 6422, 11504, 3069, 630, 297, 2158, 267, 476, 3192, 277, 264, 543, 519, 13796, 10386, 630, 8113, 650, 2218, 264, 5943, 585, 11095, 1893, 4713, 630, 294, 657, 342, 9564, 267, 476, 1001, 272, 1040, 5015, 267, 789, 5000, 519, 946, 540, 24754, 3889, 630, 16838, 538, 1875, 31646, 2326, 264, 547, 5818, 10409, 2497, 4393, 543, 7291, 5380, 585, 14317, 563, 17445, 8957, 1473, 1311, 543, 10572, 8957, 6828, 3525, 525, 540, 5678, 10657, 585, 5753, 609, 12729, 5678, 6764, 1515, 618, 281, 25867, 27159, 689, 513, 15932, 1242, 2552, 9776, 23632, 543, 9483, 16214, 454, 289, 1195, 548, 267, 6276, 631, 5919, 15966, 691, 2284, 267, 661, 3149, 335, 996, 282, 744, 262, 295, 732, 267, 14732, 282, 1280, 15816, 267, 3627, 454, 25889, 281, 3509, 1153, 21943, 1453, 609, 1893, 23043, 616, 19801, 538, 13416, 3506, 543, 4309, 9940, 1893, 3797, 267, 855, 972, 723, 1044, 267, 547, 519, 4589, 262, 1702, 267, 1100, 3105, 6417, 2090, 9236, 519, 4093, 543, 3790, 540, 1463, 543, 9940, 6304, 9447, 676, 11727, 16293, 543, 3797, 20843, 267, 543, 7498, 5472, 523, 267, 25014, 3821, 282, 21244, 267, 932, 5979, 25612, 681, 454, 29261, 1404, 513, 2565, 1909, 538, 741, 1126, 781, 1893, 1646, 269, 4475, 267, 1443, 2358, 3237, 540, 513, 1126, 609, 1893, 7965, 593, 875, 547, 7520, 741, 1126, 781, 1893, 1522, 4324, 519, 1126, 269, 9977, 16644, 843, 19983, 10657, 630, 15425, 3951, 264, 814, 1044, 2919, 4481, 585, 713, 3483, 269, 769, 7193, 3951, 267, 519, 4633, 7146, 25082, 13309, 630, 20784, 307, 264, 1568, 29050, 609, 3237, 267, 19249, 5872, 6163, 547, 1118, 5872, 811, 3617, 547, 741, 1126, 781, 1377, 540, 32705, 2115, 269, 901, 1353, 27180, 519, 7145, 540, 7193, 3951, 538, 476, 279, 268, 1015, 4458, 6040, 1453, 609, 1808, 1893, 15717, 630, 20784, 296, 264, 538, 519, 22192, 6389, 269, 898, 6322, 547, 2697, 2436, 7193, 3951, 1185, 1022, 1713, 1764, 593, 519, 1739, 2792, 6724, 540, 519, 1126, 281, 11913, 4384, 725, 267, 11913, 543, 1875, 31646, 6114, 267, 1611, 3259, 540, 19039, 766, 630, 7876, 308, 1070, 543, 8167, 540, 1126, 3562, 1790, 1861, 19039, 1734, 269, 590, 4869, 8696, 1453, 609, 20793, 296, 543, 741, 3237, 941, 14477, 8655, 547, 1079, 2516, 281, 5701, 610, 16607, 2126, 630, 31553, 1040, 634, 5701, 1895, 3576, 851, 538, 7193, 3951, 936, 513, 476, 275, 22173, 3625, 267, 543, 1287, 8120, 547, 519, 16758, 585, 513, 3803, 8400, 1310, 513, 476, 277, 22173, 28051, 1974, 609, 1100, 3403, 689, 519, 13309, 269, 634, 5701, 543, 1852, 1895, 941, 12290, 538, 2474, 540, 519, 1114, 2792, 6724, 693, 1614, 942, 2798, 281, 840, 7308, 2805, 267, 2022, 7308, 2805, 630, 12898, 519, 476, 275, 22173, 3625, 264, 543, 693, 519, 3803, 8400, 630, 12898, 519, 28051, 1974, 1070, 998, 3381, 2079, 269, 898, 729, 32424, 602, 782, 2792, 6724, 1131, 3648, 2333, 538, 519, 5701, 1895, 936, 942, 543, 602, 1100, 1713, 3604, 1131, 581, 1336, 538, 519, 1852, 1895, 269, 2353, 519, 1453, 538, 519, 5701, 1895, 1500, 1893, 12374, 1282, 21245, 4205, 609, 741, 3237, 269, 769, 6476, 609, 519, 1852, 1895, 267, 7193, 3951, 1185, 513, 2318, 1198, 593, 1614, 540, 519, 2947, 2792, 6724, 281, 11913, 4384, 725, 267, 16066, 308, 543, 519, 8167, 540, 1126, 3562, 1790, 1861, 19039, 1734, 269, 1703, 729, 513, 8589, 1198, 593, 11913, 6114, 267, 543, 513, 7678, 2509, 971, 606, 1198, 454, 293, 1953, 6737, 6874, 822, 4100, 267, 13669, 7534, 282, 1656, 8565, 267, 19863, 807, 681, 674, 282, 645, 1030, 328, 6441, 8554, 267, 1546, 4011, 320, 282, 7799, 784, 328, 267, 2672, 11481, 744, 282, 22513, 663, 525, 267, 22513, 7701, 667, 631, 282, 5576, 23702, 345, 267, 9400, 717, 454, 1607, 1353, 8947, 4852, 12519, 7084, 585, 32252, 919, 543, 16846, 1161, 607, 1134, 607, 2324, 3965, 2360, 538, 519, 4845, 8223, 540, 1453, 609, 16930, 5678, 6764, 1515, 618, 630, 20784, 296, 1070, 13560, 6794, 630, 9169, 1070, 1164, 8647, 20150, 630, 295, 11902, 264, 543, 30003, 5678, 4886, 630, 307, 17162, 1040, 17823, 1399, 5498, 1597, 1453, 630, 3374, 8695, 543, 476, 2420, 6690, 264, 5340, 513, 2780, 2213, 4605, 5498, 3005, 4845, 8223, 4305, 269, 20530, 6510, 13613, 543, 16846, 633, 24970, 1027, 550, 7084, 630, 5976, 2324, 3965, 6354, 2827, 264, 941, 11567, 269, 634, 2164, 4951, 602, 20793, 296, 267, 670, 11902, 543, 26712, 1453, 17820, 25013, 2949, 2773, 982, 570, 17162, 1453, 269, 5753, 609, 20793, 296, 17820, 2147, 2773, 547, 519, 26712, 543, 670, 11902, 1453, 1152, 950, 2324, 3965, 7569, 941, 2362, 269, 1284, 9959, 602, 1453, 609, 20793, 296, 267, 670, 11902, 543, 26712, 8428, 689, 1453, 609, 570, 17162, 538, 741, 8223, 540, 2392, 6510, 543, 16846, 633, 3889, 1141, 519, 1702, 540, 4852, 12519, 7084, 568, 2838, 269, 11554, 3965, 12879, 1185, 1114, 2360, 593, 4852, 12519, 8223, 4470, 593, 1893, 4524, 269, 11106, 729, 711, 606, 28706, 3815, 585, 519, 3604, 4767, 538, 2773, 563, 299, 1046, 514, 267, 31929, 674, 282, 13879, 267, 717, 732, 628, 808, 282, 2349, 698, 1146, 267, 6341, 541, 7534, 454, 293, 1168, 2090, 723, 8268, 519, 13093, 1670, 267, 24466, 543, 9647, 4919, 29745, 1983, 540, 1453, 609, 1808, 1893, 15717, 630, 20784, 296, 264, 8195, 269, 17823, 10117, 1453, 609, 20793, 296, 630, 11743, 2085, 284, 13647, 269, 5881, 3275, 267, 12676, 284, 279, 269, 8618, 264, 6192, 1893, 543, 10259, 4247, 7258, 26567, 21943, 8060, 543, 10259, 21943, 8060, 269, 2755, 519, 1453, 609, 20793, 296, 4951, 513, 17211, 538, 13093, 1670, 10259, 267, 789, 5340, 4086, 2406, 547, 10259, 21943, 8060, 593, 24466, 10259, 1983, 267, 543, 972, 941, 1100, 3604, 1063, 519, 1614, 2516, 538, 6721, 9647, 25140, 3656, 29745, 269, 634, 2164, 849, 12006, 519, 1761, 2956, 540, 7850, 1875, 30087, 17279, 1983, 538, 6935, 547, 2500, 10259, 1983, 267, 543, 7152, 602, 711, 782, 1453, 609, 9275, 1893, 23043, 1397, 6825, 10259, 7965, 269, 28454, 616, 5941, 538, 6935, 547, 3069, 267, 3872, 4879, 543, 2259, 269, 1306, 513, 1267, 540, 713, 2534, 267, 3988, 786, 4766, 3334, 540, 9275, 1893, 602, 3589, 1453, 781, 24466, 543, 13093, 1670, 10259, 2773, 269, 1306, 513, 1267, 540, 713, 2534, 267, 3988, 786, 4766, 875, 519, 10259, 1983, 540, 1453, 609, 20793, 296, 5635, 547, 2085, 2173, 520, 3481, 543, 10259, 2085, 2173, 520, 3481, 1852, 1453, 269, 22419, 786, 581, 2111, 547, 4612, 519, 13260, 538, 10259, 2773, 2938, 538, 1453, 609, 20793, 296, 269, 14645, 9736, 476, 1001, 274, 29021, 5549, 269, 2353, 2924, 11603, 563, 8867, 11870, 663, 267, 631, 570, 282, 4258, 341, 4471, 5336, 1638, 518, 267, 595, 454, 763, 2504, 540, 2262, 5049, 538, 5216, 476, 7871, 268, 7830, 18881, 6040, 1808, 1893, 27780, 8529, 630, 20784, 296, 264, 1453, 729, 4330, 543, 3379, 609, 602, 540, 476, 1789, 3339, 476, 2190, 268, 3451, 18881, 6040, 1453, 538, 519, 1482, 1404, 3510, 269, 20793, 296, 5396, 543, 1875, 11069, 8529, 1453, 941, 5697, 1369, 9138, 1611, 3259, 540, 19039, 766, 9832, 630, 869, 16066, 308, 8957, 1164, 16066, 308, 1040, 13870, 540, 2262, 5049, 676, 5396, 729, 11117, 538, 1931, 547, 3313, 630, 272, 264, 2436, 20793, 296, 1453, 4951, 513, 2147, 610, 513, 1114, 2262, 11665, 9043, 1851, 2933, 543, 950, 3379, 609, 1875, 27780, 8529, 1453, 543, 630, 273, 264, 2436, 16066, 308, 1644, 547, 2262, 5049, 1131, 581, 3730, 607, 513, 2582, 4791, 4994, 538, 4879, 540, 1893, 11601, 269, 11778, 4951, 602, 8464, 540, 20793, 296, 1453, 538, 2504, 540, 2262, 5049, 2992, 1271, 1367, 3604, 1851, 5396, 269, 769, 519, 1164, 5336, 299, 308, 3732, 267, 782, 20793, 296, 1453, 3812, 1142, 2262, 1362, 5266, 1369, 519, 1482, 2039, 607, 519, 1875, 11069, 8529, 1895, 269, 769, 519, 1970, 5336, 299, 308, 3732, 1079, 20793, 296, 1453, 941, 1360, 1114, 538, 741, 2262, 11665, 9043, 543, 1367, 3604, 941, 2417, 9672, 676, 513, 5806, 5364, 1599, 2079, 269, 4856, 30447, 1063, 16066, 308, 543, 2262, 5049, 941, 1713, 538, 1875, 11069, 8529, 1453, 585, 782, 4632, 4849, 5999, 543, 2201, 25959, 641, 4141, 807, 543, 941, 1152, 1713, 538, 20793, 296, 1453, 585, 7638, 2125, 267, 2776, 21752, 267, 543, 9608, 25460, 10494, 269, 6270, 4681, 3565, 1489, 547, 519, 2070, 602, 972, 568, 834, 22563, 5050, 257, 4806, 540, 1893, 538, 20793, 296, 1453, 543, 2899, 1586, 2055, 2436, 16066, 308, 568, 835, 540, 519, 1655, 5806, 3215, 10832, 547, 946, 538, 519, 4791, 4879, 540, 1893, 3919, 563, 4517 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 17185, 547, 15438, 269, 5783, 4747, 2959, 3769, 4015, 540, 8907, 689, 17710, 267, 1476, 4593, 566, 540, 3601, 607, 513, 1267, 540, 5480, 21520, 267, 9513, 519, 1121, 2153, 540, 21359, 630, 785, 592, 326, 1878, 1070, 9513, 3235, 27036, 20292, 13646, 630, 13678, 3415, 1070, 543, 3006, 2921, 2244, 676, 3196, 563, 4263, 519, 4098, 540, 519, 476, 1691, 628, 2540, 267, 5783, 3310, 1185, 1044, 19394, 269, 769, 606, 3801, 547, 7794, 922, 1852, 936, 519, 2551, 543, 7682, 922, 6392, 267, 15352, 12844, 604, 864, 24163, 10294, 538, 476, 9873, 273, 602, 519, 15352, 729, 1152, 18177, 547, 2696, 267, 543, 602, 4896, 15691, 585, 20778, 729, 18177, 547, 13099, 531, 6392, 267, 968, 2507, 5015, 267, 649, 17551, 267, 649, 605, 8010, 267, 649, 5581, 602, 621, 568, 11613, 2556, 585, 20778, 602, 1169, 1480, 13442, 581, 1641, 547, 519, 4936, 30716, 858, 892, 630, 289, 517, 604, 864, 24163, 267, 1133, 600, 5842, 551, 636, 267, 476, 9873, 273, 1916, 1607, 3296, 2488, 513, 5618, 1164, 7400, 16145, 693, 2101, 11634, 3359, 602, 723, 3361, 930, 4168, 5095, 547, 5094, 689, 519, 4936, 7826, 5783, 563, 763, 17557, 26746, 454, 763, 4098, 540, 519, 476, 1626, 628, 2540, 4951, 1713, 771, 20880, 609, 519, 4936, 5939, 269, 1234, 13905, 547, 519, 6959, 267, 28407, 267, 543, 27753, 540, 519, 7826, 5783, 3366, 547, 519, 17557, 26746, 267, 799, 8694, 519, 3235, 27036, 20292, 9322, 540, 10120, 8567, 563, 763, 26746, 568, 3622, 1767, 547, 723, 13175, 538, 476, 14681, 278, 267, 950, 9410, 13162, 630, 16825, 274, 1700, 15150, 277, 1070, 513, 4436, 31494, 543, 6280, 7548, 267, 3812, 1010, 562, 27197, 19317, 519, 4513, 269, 1452, 519, 4513, 31713, 519, 6392, 540, 519, 5783, 267, 3226, 13099, 531, 6392, 267, 676, 27102, 602, 519, 28831, 568, 2111, 547, 1121, 527, 16203, 630, 2421, 26587, 18656, 326, 1878, 1040, 7324, 824, 1919, 267, 519, 519, 4513, 849, 7682, 539, 602, 519, 6426, 568, 519, 3844, 3909, 6392, 543, 602, 3425, 949, 3914, 20778, 676, 741, 5132, 4805, 267, 1498, 789, 1058, 2285, 2963, 540, 741, 5132, 609, 1434, 1568, 269, 1280, 811, 1344, 827, 9410, 13162, 267, 1294, 938, 3751, 335, 1231, 540, 8567, 3184, 563, 299, 9801, 3908, 519, 5485, 571, 906, 547, 1079, 1765, 289, 2194, 1143, 543, 661, 1276, 30658, 630, 15973, 542, 1070, 585, 646, 1336, 1100, 7097, 1116, 4493, 585, 519, 1866, 269, 1717, 267, 1476, 11970, 543, 2612, 1828, 941, 17477, 676, 10128, 873, 883, 519, 1209, 542, 9161, 269, 27801, 538, 5609, 267, 20778, 267, 543, 22946, 30174, 267, 855, 519, 14985, 540, 1625, 326, 2218, 729, 15653, 269, 4746, 267, 3627, 27869, 630, 5611, 280, 1765, 14444, 275, 1070, 513, 17557, 31188, 1014, 267, 2250, 528, 543, 6963, 518, 267, 15653, 519, 11984, 1063, 6180, 531, 543, 9006, 658, 5609, 267, 543, 17557, 1143, 814, 7361, 598, 2017, 1042, 609, 27869, 563, 15900, 593, 267, 17557, 1143, 8237, 883, 3982, 29559, 267, 1851, 873, 267, 13162, 22675, 267, 27869, 1143, 267, 543, 1323, 629, 2194, 1143, 269, 589, 2101, 1448, 540, 1543, 542, 729, 2436, 12256, 1058, 581, 19071, 1242, 269, 13162, 22675, 543, 27869, 1143, 6462, 10867, 29080, 269, 769, 4334, 267, 1323, 629, 2194, 1235, 15653, 10867, 29080, 267, 3079, 267, 8716, 1453, 547, 1451, 741, 4984, 1354, 267, 23248, 267, 7446, 547, 581, 19071, 1242, 607, 1762, 4079, 630, 321, 2194, 1143, 676, 5132, 1916, 763, 2038, 29559, 540, 519, 26746, 4166, 838, 684, 1055, 1007, 29559, 267, 4611, 5555, 538, 1082, 540, 519, 16221, 29559, 602, 2291, 2221, 563, 9616, 281, 4653, 267, 1082, 5345, 13370, 673, 10271, 1869, 3494, 602, 519, 6426, 568, 519, 21055, 2262, 540, 2696, 269, 901, 568, 5103, 519, 21318, 540, 2296, 19978, 16627, 269, 634, 1977, 6426, 5980, 538, 476, 1220, 280, 6059, 602, 972, 941, 827, 476, 12010, 9102, 8747, 540, 2296, 8144, 645, 17156, 269, 6904, 540, 891, 267, 952, 1022, 267, 3568, 519, 538, 518, 7949, 2262, 540, 2696, 286, 1215, 666, 10271, 538, 1434, 25903, 3494, 519, 6426, 568, 538, 518, 7949, 267, 602, 621, 568, 519, 2262, 540, 2696, 563, 292, 770, 8862, 652, 5576, 1143, 2690, 5553, 267, 8082, 2799, 1063, 519, 8109, 543, 4936, 8371, 540, 519, 2038, 5783, 269, 634, 13253, 6368, 3361, 519, 5101, 8862, 652, 5576, 1143, 630, 15124, 5576, 1143, 264, 540, 476, 10755, 275, 269, 901, 11634, 1143, 3964, 519, 8628, 9668, 1063, 519, 4936, 7826, 5783, 538, 519, 4639, 543, 519, 8109, 18179, 267, 5259, 18179, 267, 543, 6739, 18179, 932, 11699, 538, 519, 5101, 563, 1103, 713, 3184, 267, 2705, 267, 649, 786, 2226, 938, 1445, 593, 5375, 8567, 563, 20225, 9653, 540, 519, 29842, 534, 5783, 689, 7507, 454, 763, 29842, 534, 5783, 630, 2419, 3420, 540, 4789, 264, 568, 3982, 538, 602, 922, 9668, 689, 30871, 729, 9247, 513, 2797, 2864, 982, 24396, 6521, 269, 3683, 519, 5553, 267, 519, 29842, 534, 5783, 1185, 7930, 1831, 513, 3982, 7936, 540, 519, 4936, 7826, 5783, 269, 634, 2296, 941, 11552, 6470, 609, 13099, 531, 6392, 269, 16828, 267, 538, 476, 14631, 275, 267, 519, 29842, 534, 5783, 729, 9674, 689, 13099, 531, 6392, 676, 3751, 8361, 24163, 547, 1831, 519, 1533, 5939, 540, 4789, 609, 519, 4622, 693, 922, 2212, 563, 4913, 267, 29842, 534, 14985, 729, 12936, 676, 519, 17557, 26746, 269, 769, 476, 14991, 272, 267, 519, 29842, 534, 5783, 2813, 513, 1592, 540, 968, 1320, 8812, 5991, 710, 4930, 892, 602, 3989, 29842, 534, 14985, 607, 621, 1644, 547, 17557, 14985, 543, 4936, 7826, 2259, 269, 18321, 4805, 1655, 3298, 593, 21071, 519, 22059, 602, 519, 3803, 2357, 18743, 786, 581, 538, 741, 3870, 267, 855, 1434, 1568, 616, 849, 1713, 269, 6145, 13162, 267, 519, 774, 8812, 5991, 710, 4930, 6444, 1152, 1079, 5485, 571, 906, 1765, 289, 2194, 1143, 543, 519, 661, 1276, 30658, 32737, 2348, 1044, 3921, 7134, 676, 2441, 12462, 338, 659, 571, 906, 540, 519, 20227, 14615, 543, 1373, 1898, 585, 20778, 269, 4762, 11970, 543, 2612, 1828, 3335, 2968, 7471, 883, 1209, 542, 610, 19001, 269, 23862, 29080, 729, 17477, 563, 1103, 942, 267, 824, 29559, 21256, 689, 519, 29842, 534, 5783, 267, 1851, 873, 267, 5556, 2958, 1049, 626, 267, 6396, 626, 267, 543, 9210, 4593, 641, 6501, 563, 288, 1870, 2203, 568, 513, 1374, 585, 519, 3811, 5106, 540, 513, 1870, 269, 6355, 3631, 1590, 2015, 8907, 2959, 585, 2472, 543, 5924, 2533, 267, 519, 6075, 3490, 267, 1376, 5346, 3790, 267, 543, 9276, 269, 1703, 568, 606, 2804, 1483, 1399, 547, 1169, 5939, 269, 634, 5783, 779, 8907, 2959, 723, 3769, 23190, 267, 5707, 1127, 267, 2621, 267, 3854, 11044, 543, 1483, 10040, 269, 634, 6075, 3490, 568, 16922, 540, 7826, 21071, 543, 1761, 17838, 269, 634, 2533, 616, 12738, 543, 2853, 602, 1404, 593, 7915, 8082, 1063, 519, 4250, 540, 2481, 31766, 543, 519, 4126, 585, 20778, 563, 1103, 4742, 513, 2101, 8739, 27791, 3196, 538, 2342, 267, 519, 4936, 7826, 5783, 2919, 922, 1870, 2203, 1759, 593, 922, 24134, 540, 922, 6392, 543, 676, 1596, 592, 326, 566, 540, 922, 2915, 5733, 540, 5609, 543, 22946, 543, 519, 5104, 868, 777, 2216, 2915, 5733, 540, 20778, 543, 13140, 9789, 6529, 543, 519, 31577, 563, 763, 16799, 1063, 4250, 543, 4126, 814, 1044, 4909, 547, 519, 1967, 540, 519, 5783, 779, 1870, 2203, 269, 4432, 12578, 623, 698, 1564, 26564, 519, 6422, 5817, 5939, 1379, 267, 607, 5205, 912, 22146, 3401, 723, 6956, 519, 946, 540, 4250, 543, 4126, 689, 519, 942, 602, 3807, 514, 2048, 1492, 14544, 685, 630, 10440, 3807, 514, 6742, 10455, 476, 1911, 1700, 13679, 264, 12219, 4936, 900, 30752, 609, 22946, 13933, 543, 10100, 3585, 1219, 1221, 519, 9794, 945, 10288, 1864, 581, 20243, 676, 30418, 602, 2696, 1131, 3142, 1864, 1394, 547, 1272, 269, 630, 3725, 767, 725, 267, 4432, 12578, 623, 698, 1564, 994, 1103, 5168, 267, 1100, 4570, 2963, 6818, 547, 1489, 519, 5783, 779, 1870, 2203, 269, 2353, 540, 519, 4909, 22225, 540, 922, 18381, 616, 14353, 269, 1284, 786, 2015, 519, 1739, 538, 930, 1469, 281, 519, 3409, 540, 6392, 2016, 676, 4906, 267, 519, 10206, 540, 5609, 267, 543, 519, 3463, 540, 22946, 543, 18163, 2481, 31766, 563, 15900, 10271, 941, 6140, 4057, 543, 2192, 30185, 269, 1358, 4121, 5783, 2915, 2742, 8231, 958, 689, 2818, 540, 519, 23464, 269, 2311, 930, 1448, 538, 519, 7826, 5783, 779, 24233, 1296, 267, 5783, 3401, 3459, 19101, 602, 519, 5783, 729, 4906, 685, 11347, 593, 3618, 267, 543, 602, 922, 10752, 3357, 2047, 689, 2696, 269, 1809, 519, 5783, 814, 2760, 1185, 1022, 4890, 6392, 547, 1489, 713, 3409, 269, 1703, 568, 1100, 3140, 2963, 602, 8834, 729, 2479, 538, 7507, 269, 4634, 952, 646, 729, 538, 7507, 267, 646, 9327, 1406, 723, 1185, 519, 6392, 547, 1450, 1022, 1268, 610, 3919, 547, 581, 519, 11347, 540, 4906, 563, 763, 5783, 20582, 922, 13429, 540, 6392, 676, 844, 7627, 15102, 689, 519, 575, 28145, 540, 15623, 543, 3627, 269, 1717, 267, 6811, 540, 6392, 1759, 593, 22258, 15102, 616, 19796, 1190, 2016, 602, 519, 14046, 2963, 9244, 5267, 519, 2835, 540, 519, 1715, 11620, 941, 2854, 676, 4589, 945, 2760, 4862, 4906, 3717, 269, 4475, 267, 789, 26218, 1022, 6392, 547, 2328, 1913, 602, 646, 27581, 1767, 563, 11101, 267, 519, 5783, 26218, 6392, 547, 27043, 513, 28138, 1715, 11620, 676, 16116, 543, 7446, 1851, 519, 1082, 575, 28145, 21883, 1851, 4168, 2950, 267, 605, 8010, 532, 930, 547, 581, 519, 968, 17504, 540, 2696, 892, 543, 605, 8010, 532, 519, 1964, 547, 581, 1934, 3749, 563, 306, 514, 568, 513, 1523, 2813, 676, 2038, 4168, 31188, 2103, 538, 606, 5736, 950, 3025, 5156, 602, 519, 3618, 729, 6366, 543, 729, 519, 4099, 540, 519, 7122, 269, 634, 17069, 864, 538, 2038, 4168, 2053, 26218, 519, 2069, 543, 5763, 540, 1344, 602, 649, 723, 2221, 269, 1358, 941, 6140, 2192, 30185, 543, 17399, 656, 267, 543, 789, 941, 3362, 26203, 676, 4250, 543, 4126, 563, 763, 22293, 540, 519, 17069, 864, 19658, 519, 5137, 676, 519, 5783, 540, 513, 4909, 7271, 585, 2208, 9789, 3661, 538, 5609, 269, 2060, 519, 10206, 540, 5609, 16119, 538, 1529, 322, 730, 538, 519, 17069, 864, 267, 519, 5783, 1336, 513, 8348, 5304, 585, 922, 1101, 1898, 3028, 281, 519, 9161, 540, 29080, 269, 634, 5783, 10645, 602, 29080, 729, 2556, 585, 519, 1121, 2153, 540, 5609, 267, 865, 602, 513, 9997, 1223, 267, 23248, 267, 581, 10710, 563, 1103, 476, 276, 4375, 267, 519, 5783, 14751, 539, 922, 1489, 585, 1454, 540, 519, 18381, 540, 27596, 540, 26194, 334, 267, 1519, 1010, 14985, 540, 3312, 5609, 269, 901, 14985, 3954, 625, 519, 5168, 602, 9002, 2097, 883, 519, 1158, 607, 10475, 267, 17608, 1480, 7919, 269, 1635, 19101, 602, 782, 20169, 9002, 616, 512, 20557, 676, 606, 15865, 267, 24379, 2298, 1765, 13092, 5609, 11652, 991, 547, 581, 11324, 4240, 267, 519, 5783, 729, 2111, 547, 840, 778, 602, 782, 30898, 2194, 1242, 1004, 267, 1519, 20169, 9002, 267, 941, 28715, 547, 18163, 2481, 31766, 269, 1358, 7948, 1406, 1205, 883, 519, 10806, 540, 2696, 269, 1280, 811, 1344, 267, 1294, 938, 22731, 16429, 3184, 563, 3528, 1175, 4328, 519, 29080, 540, 12256, 267, 519, 5783, 11573, 3042, 922, 884, 4109, 2915, 2742, 540, 3312, 5609, 607, 513, 1514, 1852, 7271, 936, 519, 3237, 540, 20169, 12256, 563, 5591, 661, 1181, 640, 538, 18774, 630, 528, 24656, 994, 288, 4295, 851, 540, 4168, 3450, 568, 519, 6668, 540, 519, 9997, 1310, 2669, 267, 4611, 538, 606, 552, 1181, 640, 538, 13140, 610, 538, 22946, 269, 1809, 4168, 29559, 3335, 1683, 1152, 519, 5618, 652, 6609, 540, 13140, 610, 22946, 269, 4208, 568, 713, 286, 1215, 568, 621, 602, 789, 1445, 593, 519, 1259, 741, 2818, 1058, 957, 1934, 593, 3618, 547, 5965, 585, 513, 4168, 1310, 5158, 267, 1247, 789, 3111, 547, 1683, 1022, 6209, 1344, 593, 602, 1310, 5158, 888, 28074, 540, 938, 3163, 15369, 21220, 23818, 3896, 3568, 1344, 543, 2200, 593, 519, 1875, 2173, 1468, 7706, 602, 1082, 3277, 547, 607, 519, 968, 12898, 5158, 1848, 901, 2442, 2165, 568, 2731, 513, 3765, 333, 9593, 267, 2094, 5020, 568, 513, 27795, 543, 814, 9444, 513, 4098, 6862, 606, 1439, 269, 3117, 4109, 1145, 610, 519, 9997, 5170 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 563, 3682, 12888, 22202, 630, 10193, 1572, 11549, 6058, 22202, 610, 10729, 11549, 6058, 264, 568, 513, 2783, 538, 799, 10729, 3568, 606, 9402, 2179, 540, 3940, 269, 19186, 6058, 568, 519, 1292, 3940, 538, 519, 1973, 269, 26287, 1231, 616, 519, 2679, 7161, 585, 782, 1560, 2694, 267, 1519, 6091, 267, 7633, 267, 4552, 267, 543, 18969, 269, 26287, 1231, 538, 519, 1973, 849, 1685, 513, 1297, 540, 1271, 3252, 269, 1358, 2149, 519, 1560, 689, 3968, 267, 948, 1973, 8052, 267, 543, 1832, 519, 1318, 2179, 540, 5714, 21883, 2429, 519, 1560, 563, 2304, 527, 874, 6664, 30649, 573, 25095, 3672, 630, 4338, 299, 338, 2567, 1912, 6664, 30649, 1749, 616, 12489, 602, 616, 1459, 538, 5111, 835, 856, 540, 1169, 1079, 1004, 609, 20461, 269, 589, 2318, 1449, 666, 948, 6166, 5868, 607, 1134, 607, 948, 2697, 2021, 609, 20461, 945, 723, 1978, 4220, 630, 3697, 1973, 28163, 543, 31761, 264, 602, 1131, 2154, 23833, 2126, 543, 5464, 269, 8074, 602, 519, 4527, 540, 8485, 30649, 1749, 849, 4386, 538, 1004, 1510, 20461, 543, 4061, 267, 972, 4527, 4805, 568, 711, 2614, 585, 513, 20461, 5868, 563, 763, 2518, 3928, 540, 590, 4041, 616, 5111, 476, 736, 1700, 3583, 829, 476, 1911, 267, 1822, 1004, 269, 769, 8951, 267, 519, 2557, 568, 5207, 1063, 476, 3393, 543, 476, 5038, 1296, 540, 2085, 269, 634, 9803, 2949, 2557, 6818, 538, 19360, 543, 3567, 269, 634, 5207, 3928, 2291, 538, 519, 2475, 543, 5333, 269, 1717, 267, 972, 568, 711, 6190, 2963, 547, 9959, 1946, 590, 4041, 568, 1447, 1455, 538, 930, 2477, 3379, 547, 1866, 282, 621, 1223, 581, 519, 2825, 13260, 538, 891, 2477, 269, 1280, 1383, 267, 1114, 2477, 4309, 1114, 2157, 540, 7943, 267, 543, 4598, 547, 11158, 12345, 5540, 17172, 1670, 2589, 540, 590, 4041, 269, 15742, 2090, 24370, 1125, 602, 513, 4719, 4276, 6818, 1063, 5198, 543, 20461, 799, 5540, 2068, 9860, 269, 1403, 713, 568, 3020, 267, 519, 7292, 5888, 540, 2477, 5540, 2068, 267, 543, 786, 2014, 519, 11841, 538, 513, 2197, 547, 1689, 607, 519, 7292, 17539, 2242, 269, 769, 1931, 547, 1174, 952, 713, 568, 3020, 267, 2477, 609, 7361, 4630, 18100, 543, 7292, 569, 7123, 5095, 1058, 581, 6594, 547, 1732, 1174, 11841, 269, 26162, 540, 2068, 538, 519, 3384, 1158, 616, 15458, 563, 763, 1292, 1426, 547, 2057, 568, 620, 325, 2788, 320, 28667, 269, 1325, 325, 2788, 320, 568, 1031, 538, 12418, 3049, 538, 1082, 2477, 543, 519, 17708, 1154, 22534, 540, 713, 616, 4421, 538, 930, 1072, 1426, 8637, 267, 855, 616, 711, 3769, 538, 1034, 26437, 25235, 269, 6744, 519, 6003, 1354, 596, 4444, 4376, 899, 713, 547, 1118, 2386, 269, 1703, 723, 1044, 2013, 5359, 540, 620, 325, 2788, 320, 17708, 339, 28453, 4929, 519, 12614, 540, 590, 4041, 269, 1325, 325, 2788, 320, 543, 544, 2426, 21167, 28667, 2270, 1164, 2157, 540, 700, 2275, 534, 24170, 710, 267, 606, 11254, 3679, 3940, 602, 22262, 519, 4761, 1062, 563, 21618, 267, 3123, 267, 543, 2126, 540, 5312, 8459, 2068, 18127, 8459, 2068, 610, 5821, 568, 513, 11636, 2530, 540, 8459, 1599, 602, 3006, 4386, 936, 1082, 1296, 269, 10705, 519, 2589, 616, 711, 18476, 2394, 519, 2068, 568, 1134, 4359, 267, 865, 621, 568, 1898, 602, 1004, 945, 616, 693, 1981, 540, 3384, 8459, 2042, 267, 971, 607, 1346, 609, 3987, 267, 723, 2834, 2638, 13522, 269, 3367, 1631, 454, 299, 17670, 538, 1453, 11148, 547, 581, 811, 10728, 982, 538, 4079, 267, 3081, 3220, 269, 623, 2444, 783, 269, 634, 3169, 4128, 585, 713, 616, 711, 6956, 269, 2290, 3069, 568, 602, 1004, 616, 4535, 609, 4719, 18687, 547, 519, 2068, 602, 949, 581, 15427, 676, 2825, 2188, 971, 607, 513, 3644, 269, 968, 14399, 609, 519, 2783, 949, 723, 15110, 513, 811, 1950, 1305, 540, 19753, 19397, 6090, 2223, 1352, 3081, 269, 1809, 713, 3069, 814, 2943, 547, 581, 9863, 563, 10144, 609, 20461, 1058, 917, 602, 1034, 30919, 267, 543, 3006, 824, 2589, 267, 616, 24395, 730, 676, 3141, 4598, 267, 865, 596, 3580, 1616, 547, 2057, 621, 610, 946, 3141, 4027, 269, 898, 779, 2565, 547, 2911, 547, 707, 4387, 827, 2960, 30919, 543, 15087, 602, 596, 7747, 267, 607, 1082, 616, 5701, 8335, 267, 543, 930, 666, 581, 4191, 602, 519, 2068, 568, 3356, 532, 610, 4657, 269, 1411, 949, 991, 824, 5574, 267, 1932, 563, 763, 2413, 1974, 267, 4098, 538, 476, 4572, 271, 267, 4718, 2101, 7835, 538, 1382, 883, 519, 2014, 543, 2126, 540, 1167, 1355, 543, 11528, 20461, 269, 3194, 5342, 538, 519, 476, 4572, 271, 338, 543, 476, 4350, 271, 338, 3366, 547, 519, 1101, 2143, 2619, 11043, 11673, 540, 20461, 543, 7152, 875, 519, 2068, 4299, 519, 8459, 267, 2295, 267, 543, 5761, 5160, 269, 589, 2101, 14634, 729, 1500, 538, 476, 3707, 279, 609, 519, 6602, 540, 519, 19845, 1591, 630, 1492, 20461, 22980, 339, 3012, 657, 639, 1591, 12544, 3765, 333, 9593, 267, 607, 621, 4386, 609, 824, 3676, 607, 1134, 1040, 5494, 2642, 676, 513, 2319, 540, 3173, 693, 519, 25832, 18669, 267, 789, 4362, 602, 519, 3043, 1973, 2281, 8659, 519, 13540, 540, 1776, 1591, 602, 729, 11319, 1996, 519, 3043, 781, 1591, 1697, 13540, 269, 3502, 532, 602, 519, 32415, 13540, 729, 22862, 609, 17193, 602, 4847, 621, 547, 581, 28041, 676, 513, 943, 698, 7514, 6776, 610, 25094, 10152, 1591, 267, 789, 3957, 519, 17193, 602, 3123, 835, 1591, 547, 3824, 652, 1776, 519, 19845, 3815, 543, 519, 1079, 22140, 1591, 1267, 538, 519, 19845, 1591, 269, 634, 19845, 1591, 267, 621, 729, 5462, 267, 729, 513, 851, 540, 606, 4550, 5991, 13086, 17193, 630, 288, 2793, 264, 5114, 282, 519, 1560, 7472, 12489, 1996, 922, 1378, 5160, 269, 901, 6602, 3366, 547, 835, 540, 519, 1101, 17046, 4255, 585, 20461, 2094, 19845, 2281, 616, 1336, 538, 5111, 476, 2568, 260, 540, 782, 1004, 8995, 609, 20461, 269, 634, 19845, 1591, 1449, 568, 10355, 5340, 607, 513, 17046, 20461, 1449, 2221, 607, 19845, 2281, 798, 711, 2141, 2049, 538, 1004, 609, 590, 4041, 543, 666, 2049, 538, 2043, 609, 824, 16991, 3676, 269, 4256, 4527, 666, 581, 5363, 538, 9591, 513, 5868, 855, 1100, 3476, 6920, 513, 17046, 590, 4041, 5868, 563, 2252, 7814, 2684, 6664, 29524, 3085, 1406, 960, 585, 2550, 609, 20461, 26669, 8539, 267, 789, 1631, 723, 519, 4781, 540, 3843, 1776, 3075, 267, 543, 811, 3681, 616, 1373, 7318, 538, 4791, 8062, 267, 3081, 3220, 269, 2961, 545, 577, 1470, 269, 1280, 1383, 267, 7189, 949, 946, 8426, 23895, 696, 630, 3240, 19817, 1156, 25544, 544, 1993, 564, 559, 1070, 1955, 584, 534, 630, 1794, 987, 11340, 9068, 1070, 610, 10163, 12118, 630, 7094, 30950, 710, 1040, 4273, 571, 325, 630, 339, 659, 1503, 574, 639, 264, 949, 849, 581, 606, 2500, 4781, 585, 20461, 26669, 8539, 267, 2687, 547, 1353, 1239, 17729, 538, 519, 5130, 476, 1001, 277, 7160, 540, 16790, 9404, 29774, 17352, 269, 630, 276, 994, 288, 742, 559, 5573, 2598, 26918, 281, 1703, 616, 6402, 593, 713, 3135, 602, 666, 581, 3989, 607, 24988, 6402, 269, 901, 1797, 602, 594, 949, 4309, 513, 1507, 10243, 630, 520, 1100, 1942, 547, 596, 264, 952, 596, 6718, 1945, 950, 14467, 593, 519, 6402, 602, 1491, 596, 998, 547, 513, 1114, 3896, 269, 1635, 14467, 593, 519, 6402, 267, 596, 616, 538, 1100, 1259, 8078, 730, 547, 4444, 563, 8923, 8074, 281, 634, 1570, 593, 713, 3135, 568, 3177, 585, 21141, 5301, 1152, 543, 568, 711, 2564, 5796, 269, 11408, 5077, 707, 10629, 1354, 4098, 1022, 2732, 610, 3635, 1982, 563, 15648, 9736, 2661, 7749, 601, 17670, 3820, 0, 298, 777, 657, 328, 4767, 602, 20461, 10924, 1079, 3029, 281, 519, 2960, 15087, 630, 852, 1634, 607, 1167, 1355, 20461, 264, 543, 513, 811, 24395, 730, 1106, 602, 4299, 711, 1152, 519, 2960, 855, 849, 3361, 8611, 267, 12263, 267, 543, 824, 11528, 4713, 538, 1004, 269, 634, 8545, 849, 4843, 513, 16420, 16876, 547, 519, 3068, 267, 17729, 593, 519, 1750, 4060, 543, 2066, 519, 8115, 540, 519, 9224, 282, 646, 1572, 713, 519, 834, 8117, 614, 12187, 16420, 2668, 29518, 657, 328, 849, 4767, 1346, 2550, 945, 2919, 519, 834, 8117, 614, 12187, 16420, 257, 630, 528, 4731, 541, 16420, 264, 1419, 941, 3413, 21719, 609, 1776, 2068, 971, 607, 21061, 267, 17350, 267, 610, 8392, 529, 529, 799, 1419, 3361, 2669, 269, 29518, 657, 328, 729, 835, 540, 519, 1101, 1004, 547, 5431, 1018, 568, 1631, 17941, 11528, 20461, 22980, 339, 3012, 657, 639, 538, 1010, 12319, 540, 519, 1121, 9231, 543, 882, 2355, 532, 2470, 540, 519, 2068, 543, 519, 2078, 540, 2960, 543, 11528, 19183, 1282, 2068, 2534, 563, 290, 20294, 8803, 6950, 269, 20530, 23036, 821, 543, 824, 2010, 540, 29416, 8803, 6950, 666, 4831, 519, 6553, 540, 20461, 269, 4400, 13066, 540, 28335, 971, 607, 18861, 335, 1042, 333, 18066, 821, 630, 288, 5336, 996, 777, 1042, 267, 2405, 1503, 264, 616, 1419, 1031, 547, 1852, 3978, 2068, 602, 3322, 519, 14401, 543, 2634, 269, 17121, 2360, 1331, 2597, 2744, 267, 2653, 20015, 2358, 267, 30034, 7633, 630, 739, 324, 18576, 1070, 1164, 1973, 2604, 267, 3987, 543, 2799, 1981, 540, 3968, 269, 634, 1981, 540, 2427, 2360, 4679, 609, 2362, 13066, 543, 3476, 2165, 3797, 563, 288, 742, 559, 5573, 2598, 26918, 281, 1703, 616, 6402, 593, 713, 3135, 602, 666, 581, 3989, 607, 24988, 6402, 269, 901, 1797, 602, 594, 949, 4309, 513, 1507, 10243, 630, 520, 1100, 1942, 547, 596, 264, 952, 596, 6718, 1945, 950, 14467, 593, 519, 6402, 602, 1491, 596, 998, 547, 513, 1114, 3896, 269, 1635, 14467, 593, 519, 6402, 267, 596, 616, 538, 1100, 1259, 8078, 730, 547, 4444, 563, 8923, 8074, 281, 634, 1570, 593, 713, 3135, 568, 3177, 585, 21141, 5301, 1152, 543, 568, 711, 2564, 5796, 269, 11408, 5077, 707, 10629, 1354, 4098, 1022, 2732, 610, 3635, 1982, 563, 15648, 9736, 2661, 7749, 601, 17670, 3820 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 14084, 269, 1284, 1223, 1360, 3362, 723, 4516, 1341, 10030, 1510, 8832, 8581, 1373, 538, 1022, 31654, 1682, 5742, 1688, 322, 32332, 269, 634, 4123, 1063, 22078, 543, 10162, 296, 568, 1360, 1507, 630, 1001, 277, 281, 22078, 547, 10162, 296, 11278, 275, 16818, 267, 10162, 296, 547, 22078, 11278, 272, 269, 276, 16818, 1040, 901, 1223, 3362, 581, 7307, 609, 552, 3052, 269, 840, 31215, 11974, 267, 11967, 911, 1457, 1315, 1163, 7163, 6132, 1878, 267, 4540, 31654, 1682, 1315, 7128, 4987, 1996, 1159, 10212, 1782, 543, 6760, 269, 898, 781, 782, 1175, 513, 2462, 28195, 547, 3247, 721, 1373, 1863, 547, 4123, 609, 519, 1158, 267, 14526, 609, 519, 9167, 593, 3454, 532, 543, 14499, 3092, 267, 543, 1118, 519, 1655, 540, 2274, 3058, 269, 1358, 1185, 1732, 2097, 1394, 609, 5177, 1341, 10030, 1360, 4166, 267, 610, 621, 781, 3143, 4308, 1315, 654, 15674, 269, 700, 3539, 911, 3218, 2904, 1590, 23184, 563, 26773, 2264, 530, 24548, 616, 676, 2484, 519, 1034, 5150, 2186, 540, 11670, 23129, 267, 607, 789, 4558, 9779, 23915, 593, 513, 2168, 4062, 540, 3937, 267, 3622, 726, 28289, 883, 513, 2780, 3842, 513, 18292, 2823, 269, 1358, 616, 782, 855, 4761, 547, 3644, 6285, 543, 1360, 1906, 8320, 540, 11670, 17403, 723, 1044, 4080, 269, 1452, 3457, 616, 519, 1152, 11670, 530, 24548, 799, 5749, 1405, 1863, 267, 543, 789, 1419, 1942, 1269, 1911, 547, 1269, 1220, 563, 1103, 519, 29291, 267, 519, 16935, 779, 19379, 616, 693, 2407, 9252, 6619, 269, 6428, 322, 18480, 3081, 646, 3580, 723, 476, 5655, 19251, 1177, 30476, 4881, 676, 519, 1439, 540, 519, 1032, 543, 476, 5611, 19251, 1177, 30476, 676, 476, 1708, 271, 269, 2961, 28952, 3081, 1010, 1985, 1900, 1310, 1010, 1699, 1628, 13050, 540, 476, 2568, 19251, 1177, 30476, 786, 581, 968, 514, 519, 7366, 892, 540, 19251, 1177, 30476, 269, 3683, 519, 1985, 2947, 1296, 267, 1010, 2754, 4566, 547, 6318, 1269, 276, 5479, 538, 3854, 547, 1628, 476, 273, 267, 1822, 19251, 1177, 30476, 1765, 18314, 17254, 1177, 30476, 1765, 1993, 3606, 5599, 4390, 269, 1809, 602, 4465, 1406, 782, 581, 538, 519, 16935, 267, 646, 3081, 269, 2961, 28952, 3081, 646, 543, 1866, 786, 4166, 581, 18440, 909, 865, 6385, 602, 267, 585, 535, 1513, 32484, 19379, 267, 519, 11068, 4211, 565, 3518, 807, 19438, 3927, 568, 2907, 3193, 539, 856, 267, 538, 851, 1317, 519, 17521, 3274, 666, 1406, 1628, 856, 1379, 3515, 543, 5989, 3728, 2614, 269, 968, 3383, 649, 723, 547, 979, 3135, 10122, 2066, 519, 2475, 1299, 4516, 2223, 2961, 28952, 5143, 803, 538, 513, 1257, 269, 968, 296, 6557, 593, 1250, 1259, 547, 20563, 593, 11728, 1848, 1306, 538, 3282, 610, 4154, 267, 19175, 832, 2760, 3247, 9789, 344, 1175, 1847, 593, 563, 17780, 538, 21388, 267, 29255, 267, 24697, 568, 519, 15445, 15503, 693, 3213, 514, 23338, 269, 1261, 779, 26906, 2872, 5230, 30135, 971, 607, 654, 534, 7798, 5518, 28545, 514, 1635, 15838, 267, 15306, 24979, 4875, 15503, 2987, 16644, 3971, 21013, 4790, 710, 267, 594, 302, 4306, 16628, 13343, 3240, 11809, 784, 267, 17622, 8416, 16628, 5981, 631, 1662, 31582, 267, 543, 15096, 2177, 1071, 1922, 10133, 3687, 13690, 1851, 1866, 269, 31072, 540, 1010, 1909, 693, 3213, 514, 23338, 267, 24697, 568, 513, 1071, 1922, 10133, 543, 16628, 540, 3213, 514, 13068, 267, 513, 5985, 813, 602, 3678, 919, 15170, 9541, 269, 1411, 666, 1246, 1864, 593, 12108, 7711, 763, 18600, 289, 25458, 328, 547, 1224, 1010, 968, 2193, 591, 4030, 593, 519, 21888, 2872, 1848, 3571, 1913, 267, 711, 23600, 563, 288, 2182, 23643, 540, 513, 15170, 568, 513, 1689, 547, 519, 7014, 602, 2306, 5892, 23380, 7161, 270, 10520, 13905, 4570, 630, 528, 13030, 268, 951, 320, 1040, 901, 3340, 782, 519, 9136, 547, 22010, 547, 519, 5767, 4528, 540, 519, 7014, 3301, 269, 769, 824, 1913, 267, 513, 2182, 23643, 568, 513, 8628, 27754, 689, 519, 3105, 4528, 540, 519, 9893, 267, 543, 9136, 4881, 3105, 8747, 786, 1100, 3476, 581, 7608, 676, 519, 21777, 4528, 269, 901, 267, 538, 2490, 267, 5932, 513, 23643, 538, 519, 9893, 281, 835, 2619, 5205, 519, 1007, 267, 18175, 24612, 9893, 267, 543, 519, 824, 2619, 5170, 2059, 519, 2025, 2619, 563, 30531, 8314, 23129, 9607, 616, 2013, 6213, 267, 2356, 723, 476, 4097, 3197, 540, 2338, 543, 27608, 5022, 267, 1376, 609, 2901, 513, 476, 272, 610, 513, 476, 274, 267, 543, 2760, 946, 476, 271, 267, 744, 267, 561, 543, 594, 547, 1118, 1169, 1915, 538, 519, 2232, 607, 2312, 607, 2009, 269, 2334, 779, 513, 2603, 547, 1491, 538, 269, 1809, 1810, 1406, 5855, 269, 1548, 789, 2874, 540, 568, 7361, 13061, 547, 596, 269, 3807, 917, 789, 2461, 513, 5569, 540, 3197, 602, 20301, 513, 10278, 593, 519, 11670, 23204, 563, 2304, 6789, 2975, 630, 1952, 997, 566, 10391, 7471, 5547, 264, 568, 513, 2890, 577, 760, 2966, 585, 513, 2027, 3498, 267, 971, 607, 513, 1880, 2186, 540, 6771, 7014, 610, 513, 1688, 13463, 671, 2780, 269, 1323, 6789, 2975, 568, 513, 13863, 2966, 4481, 547, 798, 1152, 835, 4305, 269, 9521, 674, 22333, 2026, 267, 606, 6789, 2975, 3112, 581, 1065, 584, 12723, 547, 1685, 824, 4247, 269, 1323, 6789, 2975, 2966, 547, 9553, 9779, 23915, 666, 1152, 9553, 9779, 23915, 543, 786, 1152, 2479, 9553, 9779, 23915, 269, 634, 1102, 2716, 2225, 540, 606, 6789, 2975, 568, 15558, 676, 519, 1249, 602, 621, 3091, 513, 476, 1911, 343, 2333, 538, 814, 3107, 1379, 3379, 547, 519, 17765, 543, 13382, 5825, 267, 1247, 4227, 1379, 4616, 3379, 547, 782, 519, 3105, 4066, 563, 8133, 621, 666, 28559, 621, 4465, 1406, 798, 621, 1454, 1434, 269, 634, 2601, 568, 602, 5616, 779, 13763, 5749, 1406, 3514, 585, 6061, 519, 11670, 5599, 1966, 538, 519, 1482, 1259, 602, 6789, 2975, 338, 616, 269, 1280, 4704, 267, 952, 5616, 10244, 525, 782, 540, 922, 13763, 585, 519, 6852, 3483, 540, 5599, 11670, 630, 663, 705, 663, 976, 782, 824, 1870, 4238, 1070, 621, 786, 2272, 585, 513, 1360, 1507, 2600, 630, 1652, 982, 476, 271, 269, 9826, 8472, 540, 519, 2698, 5599, 1379, 519, 11670, 3060, 4867, 814, 563, 10907, 1484, 519, 11068, 4211, 565, 3518, 807, 19438, 267, 19379, 5185, 606, 2300, 745, 857, 908, 14196, 281, 2759, 741, 9271, 543, 3802, 267, 610, 1832, 5599, 585, 10416, 4986, 538, 519, 13922, 602, 519, 15170, 2344, 1131, 11214, 2490, 1472, 269, 3509, 4130, 12427, 3274, 25649, 543, 2451, 4884, 1765, 21865, 6028, 3297, 959, 14414, 4609, 543, 14220, 28867, 3581, 269, 4634, 3677, 5716, 3459, 547, 2721, 3515, 538, 519, 5070, 269, 2961, 28952, 3323, 3001, 856, 540, 5599, 543, 883, 16475, 543, 4881, 4609, 585, 824, 19379, 269, 11524, 4371, 593, 269, 7324, 519, 8545, 729, 6428, 322, 18480, 267, 519, 654, 523, 520, 3832, 324, 28079, 2389, 29354, 19229, 8314, 1295, 518, 945, 8057, 909, 538, 519, 14860, 269, 968, 1432, 594, 1185, 547, 6430, 729, 267, 798, 594, 1589, 713, 973, 13569, 267, 610, 1281, 519, 5750, 1832, 2469, 899, 713, 543, 1831, 4986, 9495, 6428, 322, 18480, 5143, 803, 5063, 269, 1284, 941, 538, 1010, 5604, 538, 25708, 654, 523, 520, 3832, 324, 267, 543, 6428, 322, 18480, 267, 513, 2973, 24408, 476, 6246, 4458, 6040, 945, 568, 9310, 609, 2185, 1762, 3214, 267, 729, 6029, 803, 513, 2780, 5750, 540, 519, 19682, 3902, 1282, 1018, 729, 835, 540, 519, 1034, 30748, 1944, 5712, 540, 1010, 1272, 269, 968, 12507, 628, 936, 3923, 267, 596, 1185, 547, 1118, 713, 3375, 281, 2549, 594, 2469, 547, 1832, 3257, 713, 267, 610, 993, 594, 2469, 547, 1289, 621, 18313, 763, 7411, 568, 513, 1297, 602, 21560, 875, 1279, 621, 3217, 585, 19379, 547, 1039, 1007, 7161, 540, 8852, 547, 519, 9893, 269, 5221, 519, 3077, 568, 971, 606, 7938, 1752, 344, 1297, 609, 9748, 540, 9704, 267, 1004, 3622, 946, 513, 12863, 1297, 547, 2769, 519, 1699, 3077, 269, 901, 1297, 568, 1572, 519, 5599, 7411, 269, 901, 7411, 1871, 10311, 1169, 476, 273, 4374, 547, 2327, 602, 621, 3217, 476, 1015, 3764, 630, 517, 3328, 264, 547, 1039, 513, 1007, 3625, 547, 519, 9893, 269, 634, 7411, 568, 865, 1271, 1317, 267, 621, 5849, 602, 7161, 540, 8852, 616, 3773, 547, 519, 9893, 693, 2834, 11996, 267, 1256, 607, 811, 19379, 6443, 519, 3060, 269, 1403, 519, 7411, 7283, 519, 1482, 267, 621, 1131, 1491, 1447, 942, 1063, 4946, 1007, 7161, 547, 519, 9893, 607, 1007, 19379, 6443, 519, 3060, 269, 634, 7411, 4188, 338, 1169, 476, 1001, 277, 7161, 269, 2311, 713, 8884, 267, 1142, 6843, 3217, 519, 4397, 942, 585, 891, 476, 1001, 277, 7161, 547, 581, 24776, 630, 1001, 277, 1535, 476, 1015, 3764, 1070, 543, 17337, 621, 676, 519, 4890, 942, 621, 3576, 269, 898, 666, 581, 7229, 607, 5205, 912, 763, 1344, 593, 713, 3896, 1281, 711, 6655, 606, 2709, 540, 1022, 1826, 543, 568, 711, 5497, 547, 581, 267, 543, 1058, 711, 581, 1526, 29471, 607, 267, 606, 2709, 547, 6133, 267, 610, 519, 1151, 545, 2787, 540, 606, 2709, 547, 4444, 267, 1022, 19736, 267, 21113, 267, 610, 824, 2883, 2472, 269, 769, 1840, 267, 519, 1344, 593, 713, 3896, 1281, 711, 13822, 519, 11865, 540, 5092, 5796, 269, 5591, 1028, 584, 1734, 666, 581, 1500, 602, 1022, 6663, 267, 10054, 267, 6788, 267, 2994, 267, 543, 5924, 3853, 6829, 610, 22466, 23954, 941, 610, 786, 581, 7691, 610, 602, 519, 2238, 610, 1022, 2773, 4330, 1705, 610, 786, 3136, 693, 782, 610, 538, 519, 1482, 6073, 607, 568, 4330, 593, 713, 3896, 563, 2026, 7074, 538, 26981, 600, 9369, 781, 17642, 788, 1653, 267, 621, 568, 2009, 547, 13182, 19682, 11033, 1510, 4881, 513, 2407, 3060, 6843, 630, 13678, 680, 1881, 8569, 19027, 267, 9501, 309, 1040, 589, 3593, 1152, 2115, 513, 5299, 540, 519, 3625, 2212, 619, 540, 519, 13074, 5832, 267, 799, 616, 2139, 676, 13214, 532, 3060, 9136, 2394, 621, 568, 7805, 602, 519, 13074, 5832, 814, 1044, 5833, 269, 3973, 267, 1205, 519, 8585, 330, 548, 7936, 16046, 519, 11834, 547, 922, 3625, 269, 700, 9722, 519, 11834, 547, 513, 1747, 538, 519, 5832, 9727, 602, 513, 3060, 6843, 814, 7608, 621, 267, 543, 7161, 3773, 1310, 621, 2417, 3715, 519, 21533, 563, 9558, 13905, 616, 20240, 676, 3060, 9136, 998, 25563, 543, 6592, 538, 513, 1857, 7856, 24432, 1572, 513, 9893, 269, 11670, 729, 11827, 676, 606, 7164, 1268, 610, 1895, 540, 1004, 1210, 519, 2012, 9045, 25493, 26981, 600, 9369, 543, 5950, 607, 1930, 21299, 3301, 538, 476, 1220, 280, 269, 9779, 23915, 616, 2813, 607, 513, 8007, 585, 513, 1184, 1634, 607, 5599, 269, 1358, 666, 581, 22121, 585, 824, 19728, 267, 2472, 267, 543, 2533, 269, 3194, 3812, 676, 519, 2160, 540, 11062, 9193, 602, 538, 476, 1001, 278, 267, 972, 941, 476, 273, 269, 280, 547, 476, 276, 269, 279, 2929, 2189, 3755, 1210, 513, 15170, 23129, 267, 1034, 540, 873, 1210, 19682, 269, 0, 7659, 547, 713, 267, 1369, 519, 15257, 540, 10168, 267, 729, 519, 960, 540, 588, 22115, 10689, 543, 1079, 824, 3056, 5640, 538, 17265, 519, 9840, 827, 519, 2078, 1063, 10168, 543, 1362, 1894, 267, 547, 31274, 602, 1514, 3173, 666, 21230, 3409, 547, 917, 1945, 811, 827, 606, 3390, 971, 607, 10168, 267, 4550, 268, 2350, 1143, 267, 9194, 267, 7130, 269, 2382, 6627, 10168, 4016, 547, 519, 1259, 538, 799, 10168, 568, 11251, 538, 519, 5958, 540, 2486, 585, 1383, 267, 519, 19018, 622, 1297, 540, 3109, 2367, 18486, 267, 9901, 267, 543, 26722, 540, 10963, 949, 2992, 7292, 27992, 267, 513, 1106, 540, 12250, 10168, 269, 5131, 10168, 4574, 267, 3594, 267, 543, 1382, 4574, 10168, 538, 938, 2486, 910, 519, 12021, 18008, 1914, 6048, 900, 850, 546, 24642, 8583, 630, 6245, 278, 270, 4198, 272, 264, 7682, 539, 538, 1010, 14262, 547, 1889, 11980, 281, 513, 1353, 538, 15257, 267, 2069, 968, 529, 1152, 519, 3239, 543, 8086, 540, 2486, 269, 1548, 568, 15257, 15257, 568, 519, 3801, 547, 1174, 875, 2486, 1568, 621, 2090, 519, 2078, 1063, 1004, 267, 875, 1346, 3347, 1106, 851, 540, 6626, 5036, 540, 3347, 1063, 1514, 1895, 902, 267, 543, 875, 971, 1895, 902, 543, 5238, 616, 1644, 547, 519, 896, 2486, 269, 20556, 1063, 3656, 11776, 543, 3075, 6760, 519, 1353, 540, 519, 2078, 1063, 11776, 543, 6760 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1205, 606, 4359, 4110, 543, 476, 6078, 2600, 9709, 547, 960, 607, 513, 3318, 269, 4033, 6688, 941, 28346, 337, 267, 16027, 610, 4630, 655, 6033, 282, 3028, 267, 6455, 610, 804, 518, 673, 282, 1766, 894, 610, 13492, 282, 4108, 610, 8825, 2533, 282, 16724, 282, 543, 23070, 610, 9614, 563, 19950, 5944, 267, 519, 6871, 540, 1164, 1153, 20021, 1063, 2085, 476, 1839, 543, 476, 1789, 945, 2965, 12236, 4359, 5232, 814, 7283, 7168, 11931, 267, 2495, 1152, 519, 6788, 723, 4957, 267, 543, 13497, 693, 602, 269, 634, 7934, 1063, 6788, 540, 15980, 606, 4359, 4110, 543, 1018, 568, 10853, 8057, 689, 476, 2420, 6871, 2798, 538, 476, 3192, 277, 547, 476, 6078, 6871, 2798, 538, 476, 1220, 271, 563, 763, 3173, 14487, 519, 1164, 1153, 20650, 262, 32601, 6788, 547, 519, 19394, 3310, 540, 9344, 543, 1164, 1153, 21195, 543, 519, 2333, 540, 1053, 945, 1544, 547, 946, 2146, 2852, 607, 606, 3872, 19480, 3613, 821, 547, 513, 20277, 781, 4110, 543, 3564, 269, 2755, 2146, 2852, 949, 581, 3407, 267, 7194, 1397, 602, 891, 1053, 616, 1454, 1447, 2693, 547, 7118, 513, 20277, 781, 4110, 267, 1577, 4805, 606, 4359, 4110, 267, 982, 741, 9905, 945, 3459, 741, 2852, 11678, 693, 2185, 4458, 5238, 563, 3383, 1018, 781, 4636, 609, 8757, 585, 519, 6801, 888, 257, 4462, 9418, 2065, 4566, 949, 1291, 547, 513, 21568, 540, 1480, 1761, 543, 2804, 2200, 2437, 32083, 1767, 269, 834, 2690, 1383, 267, 4058, 547, 1831, 513, 2564, 4387, 1247, 1818, 4057, 9344, 538, 1164, 1153, 1797, 602, 7041, 585, 824, 811, 21483, 4938, 725, 568, 2693, 547, 581, 27185, 19861, 4799, 12024, 1082, 2686, 10593, 538, 2221, 781, 2486, 267, 2724, 949, 581, 693, 519, 3597, 540, 519, 834, 3712, 5076, 16519, 22433, 257, 10182, 269, 14268, 267, 1164, 1153, 24784, 543, 1866, 616, 4758, 1053, 519, 5048, 602, 513, 2852, 4110, 568, 519, 1152, 1259, 547, 1205, 513, 1434, 2816, 950, 267, 538, 1249, 267, 513, 9952, 3167, 1014, 610, 726, 3784, 666, 7118, 607, 1454, 607, 2161, 267, 513, 2852, 7548, 267, 32083, 1767, 563, 257, 9827, 267, 824, 3173, 723, 1336, 602, 4352, 649, 616, 1818, 811, 2724, 982, 538, 519, 2250, 267, 1018, 12523, 585, 8788, 568, 1818, 811, 982, 707, 9905, 2437, 646, 1767, 269, 834, 1607, 1522, 849, 4492, 19450, 4566, 547, 960, 538, 1283, 23909, 4799, 11990, 32083, 1923, 31823, 2336, 6124, 1353, 281, 1215, 1281, 2342, 1831, 513, 3056, 6345, 585, 3301, 543, 8668, 2533, 888, 6734, 269, 6860, 269, 1001, 278, 1923, 29163, 268, 9743, 26623, 24166, 3590, 268, 3768, 11627, 725, 325, 832, 577, 2426, 630, 3041, 296, 994, 3725, 20608, 3327, 31407, 25683, 1223, 581, 519, 1216, 6882, 540, 519, 2104, 267, 3081, 681, 3951, 1353, 454, 1789, 269, 6734, 269, 1001, 278, 1923, 29157, 3122, 4659, 540, 5303, 454, 5415, 543, 811, 18914, 3549, 616, 2519, 593, 1560, 2694, 1500, 540, 3327, 6775, 18674, 15229, 630, 20003, 14641, 1040, 1717, 267, 5663, 543, 7816, 3790, 1590, 581, 2417, 4389, 538, 1931, 547, 1118, 18435, 14641, 811, 22237, 538, 946, 269, 8625, 609, 519, 5292, 802, 342, 10402, 17985, 543, 2947, 824, 4891, 538, 519, 1788, 4591, 20075, 1805, 476, 274, 291, 267, 519, 21558, 2098, 550, 5300, 30567, 1478, 552, 17679, 269, 630, 299, 313, 295, 264, 814, 2919, 8955, 3157, 585, 519, 13128, 16013, 2719, 267, 17656, 543, 7816, 540, 1614, 8820, 3334, 563, 8505, 558, 730, 5663, 3157, 616, 519, 4493, 585, 6038, 9591, 519, 3126, 2504, 540, 18435, 14641, 3334, 269, 769, 519, 1788, 4591, 20075, 1805, 476, 274, 291, 267, 519, 700, 313, 295, 814, 2483, 8269, 22162, 519, 2497, 540, 29322, 1336, 538, 2470, 543, 519, 3504, 1158, 267, 3173, 693, 519, 2160, 540, 13325, 693, 12124, 320, 16644, 2086, 5218, 723, 24704, 6094, 3327, 31407, 4209, 630, 290, 18199, 264, 20955, 602, 8858, 1312, 1164, 5122, 19428, 543, 513, 1377, 540, 32297, 602, 568, 827, 15823, 2053, 2362, 982, 7601, 8874, 267, 4867, 1031, 538, 11418, 563, 10454, 7293, 7347, 1145, 540, 6094, 4496, 8874, 814, 1713, 2956, 585, 519, 6325, 5106, 540, 5100, 2960, 543, 8465, 11418, 1519, 2483, 763, 7404, 267, 9649, 5925, 14925, 631, 9262, 14747, 513, 2706, 21346, 633, 3109, 8559, 630, 289, 295, 264, 543, 568, 1134, 8153, 585, 922, 6505, 15191, 2531, 3215, 519, 8552, 936, 4557, 9753, 540, 9588, 538, 4908, 269, 9603, 547, 922, 16133, 267, 15191, 23146, 267, 543, 519, 1804, 3109, 8559, 2527, 267, 631, 9262, 568, 519, 1655, 8047, 585, 14236, 519, 5250, 267, 10231, 267, 543, 2458, 11582, 540, 8887, 643, 2065, 32062, 269, 589, 1382, 2319, 3366, 676, 8125, 651, 2826, 7999, 689, 519, 7665, 23851, 4659, 585, 15571, 18395, 538, 12844, 333, 267, 5125, 267, 814, 1336, 2178, 16315, 585, 24360, 3157, 8220, 519, 934, 4958, 542, 12210, 543, 519, 15191, 540, 602, 14925, 3246, 4030, 883, 519, 32618, 1966, 540, 519, 5169, 540, 28936, 9713, 32062, 563, 21841, 21346, 633, 3109, 9475, 1106, 930, 540, 519, 1034, 28430, 9259, 538, 28936, 12695, 269, 4256, 11999, 1648, 3977, 568, 9277, 547, 581, 6383, 676, 519, 2483, 763, 5506, 547, 1265, 513, 1978, 1297, 540, 22726, 3330, 513, 8955, 13942, 2356, 14687, 547, 513, 8106, 3892, 540, 4830, 2621, 267, 519, 865, 10777, 2483, 31466, 1886, 549, 25600, 1759, 593, 11046, 1227, 6094, 2326, 3180, 519, 9153, 540, 519, 4720, 540, 2757, 21932, 607, 1134, 607, 1007, 3156, 538, 519, 2361, 540, 8465, 11418, 269, 3767, 267, 513, 570, 308, 654, 1329, 1382, 2319, 3366, 676, 7338, 28228, 28705, 814, 1500, 513, 14634, 538, 713, 2361, 607, 851, 540, 606, 5571, 1382, 1788, 563, 10521, 8820, 2326, 267, 610, 476, 273, 291, 2326, 585, 2110, 267, 616, 5393, 11684, 267, 4352, 1107, 610, 1419, 811, 10502, 1317, 1107, 789, 616, 1500, 909, 540, 1175, 835, 610, 513, 2483, 736, 269, 6860, 269, 1001, 278, 1923, 7926, 5240, 454, 1240, 269, 6860, 269, 1001, 278, 1923, 7926, 5240, 454, 6734, 269, 6860, 269, 1001, 278, 1923, 7926, 5240, 454, 1839, 269, 6860, 269, 1001, 278, 1923, 8212, 543, 18395, 454, 1839, 269, 6860, 269, 1001, 278, 1923, 10049, 7070, 454, 1839, 269, 6860, 269, 1001, 278, 1923, 5020, 7070 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 15834, 21769, 1851, 3656, 5640, 267, 6915, 996, 27913, 267, 543, 3621, 4966, 1522, 6556, 5499, 4485, 5827, 540, 19086, 2800, 1247, 21924, 2640, 2404, 609, 2799, 1569, 547, 4719, 1344, 780, 1103, 3932, 267, 533, 24471, 13882, 2099, 513, 15491, 2460, 540, 1920, 1876, 964, 6326, 6297, 7156, 543, 9488, 6514, 269, 3414, 11826, 2079, 16135, 538, 27403, 267, 3140, 30675, 267, 543, 12170, 1382, 267, 649, 666, 11349, 513, 13857, 7071, 585, 519, 6946, 6384, 5817, 891, 2665, 269, 20331, 609, 713, 13654, 1702, 267, 1053, 616, 1732, 9280, 547, 4497, 9691, 609, 28928, 3466, 5935, 519, 5251, 540, 533, 24471, 13882, 543, 3565, 25006, 547, 5571, 11407, 4478, 713, 2629, 25246, 540, 1920, 1876, 269, 0, 2080, 568, 606, 1349, 689, 513, 2546, 912, 257, 20062, 16730, 2562, 667, 4353, 8991, 18161, 2562, 4811, 5508, 454, 290, 26059, 5357, 2975, 14174, 18952, 6730, 11553, 3722, 2316, 4753, 6789, 6347, 6579, 3633, 15760, 454, 22664, 590, 19851, 288, 2562, 3633, 15760, 4888, 6673, 14154, 3201, 9215, 5990, 454, 295, 5357, 312, 14662, 6020, 8976, 7838, 2464, 267, 5990, 570, 2464, 2316, 300, 2177, 312, 5508, 5990, 4888, 5746, 7728, 454, 293, 26059, 8991, 267, 6730, 5990, 667, 2975, 307, 2969, 2464, 5508, 11555, 3008, 2177, 454, 2177, 5990, 32577, 3041, 5508, 14662, 4047, 13697, 300, 21815, 2207, 24202, 29640, 17248, 26113, 563, 305, 661, 966, 269, 590, 570, 661, 623, 670, 661, 715, 918, 661, 661, 715, 589, 715, 563, 8025, 7644, 291, 7537, 2207, 2975, 3198, 11581, 296, 3582, 267, 11555, 309, 3041, 3633, 6730, 2910, 305, 3918, 6311, 3633, 267, 12164, 19489, 300, 454, 5723, 14877, 9215, 5990, 667, 4488, 3918, 2464, 5508, 5990, 2910, 7419, 5746, 299, 5508, 5990, 22622, 12087, 3198, 563, 257, 2521, 782, 1919, 267, 543, 3180, 3728, 602, 799, 568, 1434, 1701, 1107, 476, 272, 8946, 8577, 269, 966, 269, 476, 2641, 454, 266, 808, 15121, 301, 595, 19181, 2562, 3201, 5062, 12710, 5308, 17395, 312, 454, 24086, 289, 23360, 8008, 5508, 21832, 962, 3036, 298, 454, 303, 269, 808, 269, 918, 2894, 3633, 312, 6730, 590, 2177, 306, 454, 303, 308, 13993, 23360, 8991, 9215, 5990, 670, 5357, 312, 6673, 302, 4306, 5357, 2975, 590, 7417, 454, 274, 6730, 476, 276, 645, 2752, 290, 6369, 312, 5254, 3918, 4953, 21832, 962, 3036, 298, 454, 3036, 5456, 2562, 3201, 11581, 2562, 289, 7838, 21203, 11581, 296, 3582, 563, 288, 19270, 1047, 12834, 540, 14803, 3701, 267, 8191, 885, 267, 543, 19577, 338, 267, 538, 1489, 540, 519, 1684, 551, 21218, 267, 30543, 267, 543, 13756, 540, 519, 7826, 5783, 267, 568, 1934, 4843, 538, 513, 1360, 10375, 1106, 267, 607, 606, 3606, 1884, 573, 1774, 1996, 519, 796, 576, 2084, 2498, 16272, 540, 21087, 626, 22695, 528, 766, 543, 16700, 10517, 19948, 269, 634, 5617, 773, 591, 786, 581, 1934, 2421, 25009, 543, 9672, 538, 1010, 18321, 267, 543, 519, 25442, 590, 792, 7815, 1310, 18266, 786, 1200, 3010, 2237, 606, 3573, 543, 2143, 1576, 1770, 538, 513, 1837, 585, 2852, 1053, 1644, 547, 519, 1349, 1657, 267, 2519, 593, 834, 303, 24471, 2598, 1584, 525, 257, 607, 851, 540, 834, 30311, 1315, 7731, 4521, 1315, 5753, 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, 17345, 5149, 281, 29460, 513, 14579, 4856, 22046, 550, 910, 634, 19196, 1746, 2622, 540, 4750, 1143, 692, 8893, 20638, 281, 4841, 786, 1174, 1018, 621, 1797, 547, 581, 513, 4914, 5330, 550, 543, 875, 789, 666, 1831, 835, 269, 1358, 786, 1451, 827, 519, 2956, 540, 20859, 543, 741, 1909, 538, 4687, 3377, 543, 2984, 609, 1004, 1472, 519, 1158, 780, 7072, 281, 5994, 10707, 547, 1114, 2477, 267, 5870, 1007, 1004, 267, 1565, 827, 1114, 4529, 267, 543, 8989, 593, 1271, 2621, 607, 789, 4755, 269, 901, 568, 1018, 1373, 513, 4914, 5330, 550, 568, 782, 827, 256, 589, 4914, 5330, 550, 568, 513, 1826, 540, 19784, 945, 5359, 593, 3377, 543, 1699, 2621, 8345, 538, 513, 2197, 3544, 540, 741, 1378, 269, 1452, 12703, 2367, 543, 2021, 960, 2182, 547, 3142, 721, 519, 1034, 909, 3562, 15082, 1344, 689, 1472, 519, 1158, 865, 602, 649, 666, 3251, 5483, 543, 4448, 780, 28694, 1384, 1432, 1281, 513, 4914, 5330, 550, 798, 888, 288, 4914, 5330, 550, 568, 3743, 585, 15388, 267, 1603, 267, 543, 31076, 3377, 2984, 689, 513, 4914, 2197, 269, 1358, 949, 3382, 3584, 971, 607, 6214, 267, 1870, 267, 2528, 267, 5026, 267, 543, 811, 269, 1677, 798, 713, 267, 789, 1590, 1020, 2959, 267, 2932, 11042, 267, 543, 5531, 1344, 689, 1585, 6325, 2959, 269, 4495, 789, 723, 10356, 2614, 1344, 267, 789, 1711, 513, 1650, 602, 8308, 9356, 519, 2621, 789, 616, 8720, 780, 1692, 798, 594, 1831, 513, 4914, 5330, 550, 888, 6826, 5765, 513, 4914, 5330, 550, 3217, 11428, 267, 2182, 960, 267, 543, 16177, 269, 3689, 267, 596, 991, 547, 1376, 676, 4742, 606, 5140, 5856, 543, 3868, 1807, 269, 1411, 666, 2259, 891, 1983, 676, 1603, 4930, 585, 707, 1153, 11356, 610, 2870, 7044, 543, 27143, 827, 2199, 2621, 269, 8921, 267, 596, 1058, 1445, 593, 3384, 6791, 538, 513, 1808, 1858, 267, 971, 607, 6214, 267, 9297, 267, 610, 2257, 269, 1635, 3257, 865, 267, 596, 786, 2333, 707, 8458, 540, 3478, 21534, 676, 513, 2923, 3919, 269, 7053, 267, 2899, 596, 723, 6591, 1995, 543, 3710, 513, 2178, 14769, 267, 596, 666, 4019, 585, 7158, 607, 513, 4914, 5330, 550, 693, 14786, 267, 17476, 267, 610, 8613, 5121, 780, 3963, 616, 4914, 5330, 757, 1271, 888, 20288, 793, 5330, 757, 1404, 513, 2565, 1909, 538, 5329, 1004, 5483, 827, 1271, 2621, 8345, 1472, 519, 1158, 269, 1635, 3246, 4977, 543, 12905, 1344, 267, 789, 948, 721, 1732, 1174, 1114, 4529, 267, 7239, 267, 543, 6608, 269, 3958, 267, 4914, 5330, 757, 1419, 10625, 2984, 602, 1522, 6382, 979, 2150, 1245, 267, 4758, 5639, 547, 1346, 945, 1522, 711, 6382, 581, 4862, 269, 9453, 4914, 5330, 757, 267, 649, 1131, 581, 1447, 5483, 827, 519, 1158, 1472, 721, 543, 1447, 2111, 547, 4497, 538, 6209, 7391, 827, 2518, 2152, 780, 6962, 281, 9861, 513, 4914, 5330, 550, 568, 606, 3078, 543, 14785, 4876, 602, 2636, 2043, 547, 2951, 519, 1158, 267, 2743, 1007, 1004, 267, 543, 2671, 1271, 2984, 609, 1866, 269, 2755, 4742, 513, 4914, 5330, 550, 3340, 11428, 543, 2182, 960, 267, 621, 568, 513, 16180, 1259, 547, 3565, 547, 2486, 543, 3895, 1620, 1063, 6082, 269, 1403, 596, 616, 13730, 827, 19761, 267, 1603, 267, 543, 3695, 1007, 4025, 267, 1287, 2015, 13197, 513, 4876, 607, 513, 4914, 5330, 550, 256, 0, 2080, 568, 606, 1349, 689, 513, 2546, 281, 834, 339, 341, 476, 1001, 276, 24543, 3883, 12876, 10732, 595, 9915, 3198, 5437, 476, 2537, 267, 476, 1001, 276, 476, 272, 281, 876, 600, 268, 280, 281, 1626, 600, 29643, 454, 907, 23645, 10950, 1394, 547, 1433, 339, 341, 11173, 2661, 3795, 540, 519, 476, 3953, 526, 5993, 544, 22585, 741, 1433, 13037, 269, 1246, 721, 593, 1000, 7867, 19044, 16516, 10311, 693, 1433, 339, 341, 568, 938, 1000, 7867, 6023, 269, 849, 519, 2407, 8430, 568, 2139, 693, 938, 3896, 267, 1433, 339, 341, 3820, 269, 519, 1101, 2278, 2680, 585, 519, 1554, 568, 4098, 269, 547, 596, 1934, 689, 1279, 5503, 19784, 575, 841, 1352, 324, 1506, 543, 14558, 328, 737, 2313, 1676, 7234, 741, 5767, 2835, 269, 1312, 540, 799, 616, 29946, 269, 713, 568, 2661, 3795, 540, 519, 544, 22585, 1433, 4023, 593, 1433, 339, 341, 593, 524, 1606, 3966, 273, 269, 2340, 503, 359, 2340, 503, 359, 454, 16591, 6640, 269, 10950, 547, 519, 544, 22585, 1433, 4023, 519, 476, 3953, 526, 5993, 11812, 540, 2835, 543, 6126, 31914, 599, 547, 3025, 269, 5963, 8748, 547, 723, 782, 540, 596, 1934, 269, 23248, 596, 4312, 1185, 606, 4316, 2429, 519, 3018, 543, 19108, 547, 2972, 930, 540, 519, 1082, 7886, 547, 5310, 6718, 930, 2835, 543, 930, 824, 540, 938, 8711, 1934, 693, 544, 22585, 1433, 4023, 269, 1775, 1131, 899, 547, 2285, 513, 2027, 28551, 547, 1250, 2828, 693, 544, 22585, 454, 1504, 4023, 267, 1577, 781, 2285, 873, 513, 18222, 8620, 606, 2502, 543, 3015, 1576, 1770, 538, 513, 1837, 585, 1647, 1153, 1053, 1644, 547, 519, 1349, 1657, 267, 2519, 593, 19739, 24209, 1299, 27483, 302, 10292, 24209, 1315, 3798, 6002, 267, 4750, 1235, 267, 23255, 1315, 14579, 4856, 22046, 757, 269, 898, 1058, 581, 3358, 585, 1647, 1153, 1053, 1510, 1991, 1702, 593, 519, 1888, 780, 2521, 547, 1384, 268, 3629, 2143, 3137, 267, 2057, 2930, 3822, 267, 543, 1459, 519, 2093, 538, 513, 3551, 267, 2239, 3159, 563, 268, 3417, 1806, 547, 1118, 519, 1641, 3839, 543, 3078, 585, 1762, 1647, 1153, 1053, 269, 3097, 268, 1684, 711, 2446, 519, 1357, 1349, 538, 519, 1837, 543, 798, 711, 1331, 513, 2140, 610, 2606, 2453, 267, 596, 1058, 2328, 519, 1543, 2047, 269, 0, 7170, 281, 1215, 547, 5269, 24956, 545, 7969, 674, 665, 3147, 807, 29968, 609, 7167, 517, 1092, 24619, 692, 293, 665, 3147, 807, 3694, 568, 513, 5929, 7969, 8670, 602, 666, 581, 10150, 607, 513, 1796, 29671, 15165, 610, 1031, 607, 513, 3490, 585, 32409, 543, 824, 29902, 13000, 269, 26157, 621, 609, 513, 8949, 1698, 517, 1092, 3262, 1500, 689, 28777, 4212, 17852, 267, 14274, 267, 10153, 1161, 267, 543, 11350, 18717, 5932, 606, 20605, 8265, 1426, 1995, 1318, 538, 707, 1378, 10051, 269, 901, 3102, 3391, 786, 3802, 596, 998, 1169, 1900, 2838, 547, 1711, 8076, 7969, 535, 665, 3147, 807, 3694, 609, 513, 17175, 1698, 517, 1092, 3262, 780, 2162, 23123, 692, 2971, 1280, 519, 535, 665, 3147, 807, 14859, 1384, 265, 476, 276, 11680, 630, 7785, 326, 264, 782, 26928, 7912, 454, 265, 476, 273, 512, 4944, 630, 279, 326, 264, 6070, 454, 265, 476, 272, 512, 26138, 630, 1724, 326, 264, 4006, 454, 265, 476, 275, 269, 276, 512, 4944, 630, 1691, 326, 264, 3742, 3819, 13803, 454, 265, 476, 273, 11680, 630, 5325, 274, 6447, 264, 561, 8123, 342, 1301, 1216, 630, 19925, 476, 8099, 13790, 610, 476, 3393, 9180, 994, 265, 476, 414, 483, 497, 7484, 630, 8064, 6447, 264, 3063, 20424, 14462, 3282, 267, 7132, 811, 585, 5671, 3960, 1782, 692, 2971, 1280, 519, 1698, 517, 1092, 3262, 1384, 265, 476, 273, 5420, 4212, 17852, 267, 2759, 883, 1507, 18695, 454, 265, 476, 16006, 1804, 2699, 11350, 14723, 267, 22872, 454, 265, 476, 16006, 1804, 3039, 11350, 14723, 267, 22872, 454, 265, 476, 272, 5420, 5835, 22323, 267, 29656, 22872, 454, 265, 476, 274, 804, 7174, 13342, 267, 1295, 1027, 454, 265, 476, 272, 666, 630, 1691, 12063, 610, 476, 31256, 326, 264, 2898, 20034, 14274, 267, 27071, 543, 10199, 22872, 454, 265, 476, 26528, 7484, 630, 4343, 326, 264, 8486, 1540, 918, 15401, 1092, 10153, 1161, 267, 30000, 454, 265, 476, 273, 512, 26138, 630, 1789, 6447, 264, 2699, 9174, 16693, 454, 265, 476, 273, 512, 26138, 630, 1789, 6447, 264, 1216, 454, 265, 476, 273, 512, 26138, 630, 1789, 6447, 264, 3063, 20424, 14462, 3282, 454, 265, 476, 272, 512, 26138, 630, 273, 326, 264, 4195, 24958, 3762, 267, 6094, 569, 30000, 454, 265, 17865, 543, 3109, 14723, 267, 547, 6492, 692, 2162, 27491, 692, 2971, 10435, 519, 535, 665, 3147, 807, 14859, 1384, 272, 269, 2878, 23382, 710, 3819, 5820, 4995, 769, 513, 1804, 11544, 12826, 267, 31953, 1927, 519, 7912, 267, 6070, 267, 4006, 267, 543, 13803, 2394, 1134, 5916, 269, 8073, 513, 1134, 538, 519, 4099, 540, 519, 7848, 1210, 707, 11263, 610, 513, 22635, 780, 825, 2608, 6206, 17785, 281, 4635, 513, 4336, 547, 2268, 856, 5820, 5849, 3152, 6111, 543, 11007, 538, 707, 3803, 1587, 780, 273, 269, 2878, 11754, 6632, 5820, 4995, 32449, 519, 3636, 1216, 543, 14462, 3282, 883, 519, 1134, 2813, 538, 519, 3819, 12146, 3575, 269, 26431, 6451, 519, 4478, 7912, 883, 519, 5277 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 811, 982, 4557, 17758, 538, 1840, 547, 519, 17587, 15356, 269, 2701, 729, 849, 28165, 609, 519, 2140, 540, 16362, 27254, 529, 6970, 25901, 676, 513, 1297, 540, 9945, 563, 14976, 9626, 670, 269, 4563, 14315, 454, 29820, 538, 5245, 267, 10906, 670, 269, 4563, 14315, 4682, 593, 547, 3094, 519, 17587, 15356, 538, 25665, 543, 6925, 538, 476, 1220, 280, 269, 634, 8366, 729, 3838, 676, 10793, 654, 269, 590, 345, 739, 752, 543, 8349, 13983, 3187, 269, 1358, 4465, 519, 17587, 15356, 585, 12423, 875, 15954, 616, 6870, 676, 22007, 727, 637, 543, 22007, 9593, 848, 563, 15542, 1355, 281, 589, 4535, 24158, 540, 2470, 267, 10906, 670, 269, 4563, 14315, 22002, 7350, 1310, 1373, 6766, 676, 519, 12092, 540, 21322, 4354, 773, 563, 10111, 565, 654, 269, 13983, 3187, 454, 10111, 565, 654, 269, 13983, 3187, 4607, 519, 524, 913, 1540, 8366, 693, 519, 2085, 540, 17288, 32732, 269, 901, 2306, 1200, 519, 21836, 18579, 540, 519, 17587, 15356, 538, 25665, 543, 6925, 269, 1306, 2907, 5941, 267, 1352, 729, 13752, 2059, 609, 10906, 670, 269, 4563, 14315, 543, 10793, 654, 269, 590, 345, 739, 330, 585, 741, 8906, 3823, 15954, 563, 15542, 1355, 281, 8349, 654, 269, 13983, 3187, 568, 7988, 2716, 545, 563, 295, 9430, 689, 16157, 267, 2904, 5174, 761, 339, 17018, 518, 4607, 519, 17587, 15356, 538, 25665, 543, 6925, 2059, 609, 1200, 9393, 267, 11977, 17018, 518, 267, 543, 1382, 7649, 3627, 744, 685, 11390, 1030, 324, 269, 1358, 941, 13752, 585, 741, 4230, 15929, 8906, 827, 519, 2281, 7587, 5024, 519, 2634, 779, 17568, 1062, 563, 15542, 1355, 281, 2904, 5174, 761, 339, 543, 11977, 941, 1164, 1153, 6653, 515, 11301, 945, 22002, 741, 22692, 5232, 267, 4487, 779, 5232, 267, 543, 4387, 622, 5232, 1927, 269, 1358, 723, 1079, 20766, 269, 2904, 5174, 761, 339, 1305, 1390, 1806, 676, 20418, 1200, 20766, 538, 1857, 543, 2921, 873, 547, 3621, 29468, 269, 1358, 1256, 10483, 1200, 547, 519, 8047, 563, 307, 340, 1411, 2791, 24973, 4607, 519, 17587, 15356, 538, 25665, 543, 6925, 609, 5261, 595, 269, 18095, 749, 543, 9045, 25493, 15345, 3120, 538, 476, 1001, 276, 269, 634, 8366, 729, 585, 8906, 540, 5574, 585, 13663, 543, 3968, 609, 5180, 11988, 15495, 269, 16515, 1411, 2791, 568, 606, 32055, 4807, 269, 2701, 1185, 547, 4734, 3297, 1200, 20766, 607, 1352, 729, 12912, 607, 519, 2212, 540, 519, 5728, 1382, 2319, 602, 729, 25461, 547, 1265, 513, 1007, 1884, 2711, 25106, 3075, 269, 9839, 12577, 569, 267, 1200, 1762, 20766, 1705, 711, 5431, 1200, 950, 1352, 3357, 547, 3643, 873, 513, 1906, 1296, 2663, 563, 15542, 1355, 281, 2701, 568, 519, 1101, 4457, 12504, 547, 581, 13752, 519, 17587, 15356, 538, 25665, 543, 6925, 269, 2701, 568, 849, 519, 1101, 4457, 4775, 12504, 547, 723, 4465, 519, 17587, 15356, 538, 1022, 7121, 269, 4173, 6602, 540, 519, 5061, 267, 1148, 28087, 514, 514, 543, 1019, 5139, 549, 691, 28087, 514, 514, 267, 4682, 593, 547, 4688, 6634, 540, 2729, 563, 8601, 782, 938, 29287, 3646, 267, 8635, 1851, 25469, 1869, 26251, 538, 519, 4081, 1158, 269, 1411, 1131, 581, 14281, 547, 917, 602, 2094, 476, 5002, 272, 267, 972, 723, 1044, 476, 18597, 5256, 31444, 919, 945, 723, 1044, 13752, 519, 17587, 15356, 538, 6925, 543, 25665, 269, 22702, 547, 713, 267, 1152, 12964, 2021, 723, 1044, 13752, 519, 1482, 269, 11048, 267, 938, 12703, 21031, 723, 1044, 959, 644, 3101, 593, 269, 594, 993, 8746, 602, 519, 2104, 1131, 1294, 811, 2021, 8066, 519, 524, 913, 1540, 16101, 563, 2710, 6085, 543, 1577, 803, 917, 799, 540, 891, 21031, 540, 4915, 26182, 596, 519, 1034, 563, 3080, 2219, 593, 968, 18131, 538, 16195, 281, 17587, 15356, 12736, 2996, 538, 6925, 543, 25665, 7536, 11039, 267, 589, 7094, 990, 597, 7168, 1454, 10710, 1250, 3158, 779, 1272, 267, 865, 1631, 594, 917, 945, 547, 9684, 269, 4279, 2022, 256, 0, 3682, 974, 1231, 538, 3070, 281, 674, 847, 531, 7252, 538, 3435, 454, 763, 1523, 540, 519, 2627, 540, 513, 3940, 538, 3070, 267, 607, 1134, 540, 519, 8818, 1063, 3940, 543, 1412, 12712, 330, 3070, 3299, 568, 5189, 269, 634, 8097, 4480, 540, 1507, 5086, 2473, 11920, 543, 23377, 22502, 568, 5189, 543, 4330, 13713, 269, 17449, 6384, 11191, 267, 607, 606, 3617, 12985, 1907, 585, 4974, 519, 20697, 7387, 540, 5946, 267, 568, 849, 5941, 269, 634, 1523, 540, 3940, 7252, 609, 5762, 531, 7516, 568, 11840, 730, 269, 1284, 9096, 676, 20392, 606, 8097, 630, 6748, 1507, 5086, 2473, 11920, 22502, 264, 543, 513, 2780, 11191, 2013, 1353, 267, 799, 616, 5921, 607, 23405, 540, 519, 7399, 649, 723, 693, 1688, 585, 14236, 519, 10347, 17103, 602, 1921, 630, 663, 7941, 264, 3940, 6675, 543, 519, 15231, 23386, 3070, 563, 30812, 10234, 17460, 8212, 454, 268, 6583, 11261, 912, 268, 5988, 476, 1001, 277, 454, 268, 9473, 10234, 17460, 910, 9941, 9473, 10234, 17460, 454, 268, 476, 279, 3817, 267, 476, 276, 5515 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 630, 275, 14371, 2020, 19352, 543, 2697, 3515, 543, 7285, 267, 543, 19665, 5546, 780, 28350, 11659, 630, 275, 14371, 269, 272, 268, 274, 994, 9288, 20011, 27449, 454, 17951, 956, 692, 294, 1868, 692, 24248, 31307, 630, 320, 28618, 3014, 994, 763, 14559, 20417, 454, 289, 16466, 519, 4210, 2086, 454, 9288, 5501, 618, 681, 26680, 692, 1012, 2561, 21041, 692, 763, 17354, 267, 4569, 30982, 267, 8612, 602, 519, 813, 779, 7834, 2853, 949, 1331, 7829, 540, 1239, 607, 4330, 2630, 269, 1280, 811, 1344, 267, 1294, 519, 17354, 779, 7834, 3609, 780, 2162, 4578, 3502, 11814, 539, 692, 763, 17354, 1281, 711, 2445, 1022, 1239, 689, 713, 813, 780, 7468, 643, 2329, 2853, 949, 4268, 267, 585, 1383, 267, 1759, 593, 519, 2934, 596, 946, 610, 707, 2085, 269, 6258, 1109, 5415, 0, 305, 565, 1782, 1614, 18062, 2507, 600, 594, 3257, 713, 7157, 2496, 21698, 18062, 616, 16207, 269, 1548, 568, 519, 5506, 519, 1482, 1297, 5526, 593, 4010, 1079, 540, 519, 1614, 18062, 2496, 7712, 596, 991, 4010, 1079, 547, 581, 519, 1482, 267, 972, 616, 1614, 7399, 281, 476, 272, 269, 3689, 543, 2034, 267, 711, 3791, 476, 273, 269, 3689, 543, 3791, 267, 711, 2034, 476, 274, 269, 5822, 543, 3791, 267, 711, 1101, 692, 2690, 476, 272, 264, 634, 1101, 5884, 267, 596, 723, 476, 277, 270, 277, 269, 634, 2034, 5884, 2115, 547, 581, 3160, 547, 519, 1101, 267, 865, 596, 723, 5506, 540, 476, 272, 270, 277, 269, 3973, 519, 3791, 5884, 666, 1405, 581, 3160, 547, 519, 1101, 543, 2034, 18062, 267, 865, 621, 781, 476, 276, 270, 277, 269, 2353, 1927, 596, 1205, 1269, 272, 265, 315, 2765, 346, 272, 2410, 277, 348, 265, 315, 2765, 346, 276, 2410, 277, 23201, 1656, 2094, 519, 1985, 1079, 2665, 6556, 519, 1482, 2164, 267, 1287, 519, 5506, 602, 519, 1482, 1297, 513, 701, 1513, 593, 4010, 1079, 540, 519, 1614, 18062, 568, 3230, 274, 16732, 272, 265, 315, 2765, 346, 272, 2410, 277, 348, 265, 315, 2765, 346, 276, 2410, 277, 348, 21174, 2765, 346, 276, 2410, 1321, 15732, 12441, 594, 798, 713, 7157, 286, 11289, 596, 780, 8894, 1607, 568, 519, 2626, 594, 1205, 543, 707, 7744, 4667, 3280, 269, 1107, 1109, 12528, 26493, 2004, 4924, 476, 1321, 1412, 1724, 693, 476, 277, 281, 6078, 692, 8133, 707, 2626, 568, 2953, 269, 3230, 346, 274, 315, 577, 5366, 476, 273, 4153, 10383, 21702, 346, 272, 2410, 276, 4153, 10383, 21702, 346, 276, 2410, 277, 348, 815, 1422, 2765, 346, 276, 2410, 1321, 28021, 2026, 513, 2638, 281, 1934, 568, 513, 1114, 1935, 269, 1703, 616, 1614, 5079, 585, 519, 9642, 5884, 856, 281, 2451, 267, 1647, 267, 610, 1318, 269, 1280, 1142, 3903, 540, 9642, 5884, 856, 267, 972, 616, 1269, 277, 259, 5079, 585, 922, 1871, 543, 1287, 1269, 276, 259, 2418, 585, 519, 1871, 540, 519, 6292, 269, 2334, 2306, 1269, 274, 24206, 277, 24206, 276, 284, 3445, 259, 4093, 585, 1079, 540, 1614, 519, 1482, 269, 1703, 616, 513, 2698, 540, 1269, 277, 317, 274, 284, 21327, 259, 2698, 7399, 267, 4758, 513, 5506, 540, 4399, 2765, 346, 3445, 2410, 21327, 18098, 2765, 346, 276, 2410, 1321, 23201, 0, 7476, 606, 2626, 538, 476, 276, 3764, 692, 16485, 513, 2243, 547, 938, 7855, 454, 21316, 9391, 692, 258, 26062, 1614, 2600, 540, 29235, 2947, 1018, 568, 519, 20735, 933, 2496, 1015, 260, 540, 476, 4037, 815, 476, 278, 269, 276, 476, 736, 260, 540, 476, 4037, 815, 476, 1428, 476, 272, 260, 540, 476, 4037, 815, 476, 271, 269, 4037, 476, 274, 260, 540, 476, 4037, 815, 273, 269, 1839, 476, 2537, 260, 540, 476, 4037, 815, 476, 1428, 1341, 476, 273, 269, 1839, 476, 2537, 260, 540, 476, 4037, 815, 476, 1704, 269, 1839, 692, 22832, 1744, 3658, 454, 6440, 692, 280, 269, 280, 330, 1053, 5280, 692, 272, 260, 540, 476, 4037, 568, 476, 271, 269, 4905, 265, 4037, 284, 271, 269, 4037, 865, 476, 274, 260, 540, 476, 4037, 284, 274, 265, 271, 269, 4037, 284, 273, 269, 1839, 269, 476, 736, 260, 540, 4037, 568, 1175, 476, 4037, 270, 276, 284, 1428, 269, 1924, 476, 2537, 260, 540, 476, 4037, 568, 476, 1428, 266, 273, 269, 1839, 284, 1704, 269, 1839, 780, 25405, 681, 527, 2151, 454, 6440, 692, 1240, 269, 274, 330, 1053, 5280, 692, 2537, 260, 568, 6697, 547, 476, 2537, 270, 1911, 2986, 1797, 6398, 263, 20123, 328, 6473, 264, 1411, 666, 798, 476, 2537, 270, 1911, 6398, 476, 4037, 284, 476, 1704, 269, 1839, 1411, 666, 798, 476, 2537, 6398, 476, 4037, 815, 476, 15094, 276, 676, 798, 514, 519, 6241, 1505, 476, 15094, 276, 383, 371, 1911, 284, 476, 1704, 269, 1839, 5457, 713, 1826, 540, 2243, 4465, 1405, 581, 538, 513, 9498, 1957, 607, 596, 666, 3362, 946, 513, 9498, 269, 12085, 547, 917, 585, 713, 1391, 1731, 333, 26271, 20587, 1137, 28758, 1505, 585, 8691, 16593, 713, 5280, 8206, 2439, 293, 329, 329, 323, 329, 323, 20144, 9536, 327, 454, 6440, 692, 274, 269, 272, 330, 1053, 5280, 692, 2791, 1223, 960, 856, 476, 2537, 260, 540, 476, 4037, 1210, 513, 9498, 543, 1603, 968, 271, 269, 2537, 1535, 476, 4037, 892, 610, 1510, 513, 9498, 596, 1223, 1265, 835, 11359, 630, 736, 8472, 540, 476, 4037, 676, 12270, 476, 4037, 676, 476, 276, 543, 1039, 602, 547, 1614, 835, 4627, 2195, 540, 476, 4037, 630, 676, 12270, 476, 4037, 676, 835, 4627, 543, 14921, 602, 1871, 676, 476, 274, 1040, 1411, 1058, 1205, 476, 1704, 269, 1839, 692, 306, 822, 13860, 674, 1580, 5652, 454, 6440, 692, 275, 269, 275, 330, 1053, 5280, 692, 13043, 338, 692, 273, 343, 21147, 21147, 266, 273, 344, 9943, 274, 344, 9943, 344, 692, 1012, 1548, 568, 1627, 26031, 593, 2480, 22259, 2496, 4263, 2480, 22259, 649, 1174, 602, 3025, 16137, 538, 513, 1114, 1259, 269, 2368, 1004, 1451, 998, 2259, 267, 1210, 3594, 543, 4967, 282, 1866, 4782, 3381, 4245, 547, 4585, 543, 1451, 267, 930, 1175, 991, 948, 609, 513, 4481, 2182, 2243, 267, 1247, 930, 1451, 1655, 476, 272, 6823, 268, 272, 23468, 7886, 269, 2311, 2480, 22259, 649, 8597, 585, 782, 2010, 540, 1565, 6163, 543, 2115, 269, 3245, 23722, 13174, 3381, 4245, 547, 589, 7400, 2296, 3594, 543, 11285, 7855, 538, 1169, 1641, 910, 649, 4076, 3893, 596, 4988, 780, 9928, 22259, 814, 5280, 936, 476, 14530, 267, 1822, 1053, 865, 2484, 692, 23921, 948, 609, 12729, 13174, 2496, 21093, 4274, 948, 689, 513, 20131, 568, 513, 1390, 1259, 547, 2087, 707, 13174, 9344, 780, 1012, 13028, 1565, 2200, 676, 21493, 692, 9596, 13174, 609, 11473, 16497, 454, 272, 15590, 476, 2764, 332, 5788, 476, 279, 7044, 454, 303, 24652, 918, 745, 345, 1731, 13960, 454, 6440, 692, 3583, 276, 1053, 5280, 692, 294, 17698, 13174, 910, 10606, 454, 2764, 332, 5788, 476, 274, 7044, 454, 296, 336, 4472, 700, 758, 2006, 454, 6440, 692, 272, 269, 277, 330, 1053, 5280, 692, 272, 15590, 476, 3953, 332, 5788, 476, 280, 7044, 454, 303, 24652, 918, 745, 345, 1731, 13960, 454, 6440, 692, 3583, 276, 1053, 5280, 692, 294, 17698, 13174, 910, 13158, 3930, 454, 6321, 332, 5788, 476, 277, 7044, 454, 303, 24652, 918, 745, 345, 1731, 13960, 454, 6440, 692, 3583, 276, 1053, 5280, 692, 294, 17698, 13174, 910, 10789, 589, 454, 272, 15590, 476, 1691, 332, 5788, 476, 278, 7044, 454, 303, 24652, 918, 745, 345, 1731, 13960, 454, 6440, 692, 3583, 276, 1053, 5280, 692, 294, 17698, 13174, 910, 10789, 645, 454, 272, 15590, 476, 2767, 332, 5788, 476, 280, 7044, 454, 303, 24652, 918, 745, 345, 1731, 13960, 454, 6440, 692, 3583, 276, 1053, 5280, 692, 294, 17698, 13174, 910, 10789, 595, 0, 258, 9978, 19919, 2243, 692, 333, 327, 332, 961, 337, 454, 6701, 519, 1739, 1234, 336, 781, 1063, 519, 1079, 9136, 6697, 286, 594, 6415, 7168, 2386, 519, 1101, 543, 7643, 3283, 616, 267, 4990, 540, 2386, 519, 3791, 568, 267, 543, 513, 2370, 2386, 519, 8772, 835, 568, 269, 634, 678, 781, 616, 519, 27856, 269, 594, 6415, 20994, 602, 519, 5961, 616, 865, 19020, 267, 594, 7948, 1405, 8936, 1250, 9049, 5862, 4605, 781, 795, 701, 326, 610, 533, 978, 454, 289, 517, 639, 7726, 281, 4208, 1281, 1234, 336, 1796, 585, 11192, 18650, 11631, 286, 12321, 1328, 4667, 547, 917, 13718, 272, 563, 334, 1366, 955, 454, 32465, 347, 27401, 1862, 2008, 32465, 337, 27401, 1862, 337, 454, 32465, 347, 27401, 1862, 2008, 334, 1366, 21387, 32465, 955, 268, 337, 734, 8894, 32465, 347, 27401, 1862, 2008, 334, 19203, 347, 27401, 1862, 347, 955, 334, 454, 32465, 347, 27401, 1862, 2008, 32465, 955, 337, 19030, 273, 563, 334, 2411, 955, 454, 32465, 347, 27401, 1862, 347, 27401, 1862, 2008, 32465, 337, 27401, 1862, 337, 27401, 1862, 337, 454, 32465, 347, 27401, 1862, 347, 27401, 1862, 2008, 334, 2411, 21387, 32465, 955, 268, 337, 734, 8894, 32465, 347, 27401, 1862, 2008, 334, 19203, 347, 19203, 337, 19203, 347, 955, 334, 454, 32465, 347, 27401, 1862, 2008, 32465, 955, 337, 19030, 274, 563, 32465, 955, 337, 9339, 268, 337, 955, 8894, 32465, 347, 27401, 1862, 347, 27401, 1862, 2008, 334, 19203, 347, 27401, 1862, 347, 27401, 1862, 347, 19203, 334, 454, 32465, 347, 27401, 1862, 347, 27401, 1862, 2008, 32465, 955, 337, 9339, 268, 337, 19030, 32465, 955, 337, 955, 27401, 19203, 337, 955, 8894, 32465, 347, 27401, 1862, 347, 32465, 347, 27401, 1862, 2008, 334, 19203, 347, 27401, 1862, 347, 955, 347, 27401, 1862, 347, 19203, 334, 454, 32465, 955, 337, 955, 27401, 19203, 337, 19030, 275, 563, 32465, 955, 337, 9339, 268, 337, 955, 8894, 32465, 347, 27401, 1862, 347, 27401, 1862, 2008, 334, 19203, 347, 27401, 1862, 337, 27401, 1862, 347, 19203, 334, 454, 32465, 347, 27401, 1862, 347, 27401, 1862, 2008, 32465, 955, 337, 9339, 268, 337, 19030, 32465, 955, 337, 955, 27401, 19203, 337, 955, 8894, 32465, 347, 27401, 1862, 347, 32465, 347, 27401, 1862, 2008, 334, 19203, 347, 27401, 1862, 347, 268, 337, 734, 347, 27401, 1862, 347, 19203, 334, 454, 32465, 347, 27401, 1862, 347, 32465, 347, 27401, 1862, 2008, 32465, 955, 337, 955, 27401, 19203, 337, 19030, 8310, 12995, 1384, 1805, 3530, 9622, 7978, 454, 20112, 16588, 454, 3725, 336, 6763, 585, 6697, 4187, 780, 345, 2998, 345, 341, 3944, 454, 3725, 2000, 8475, 519, 27856, 609, 2189, 1541, 13294, 630, 305, 272, 267, 681, 273, 267, 3092, 8094, 29991, 519, 5934, 2619, 610, 10092, 689, 835, 6843, 547, 519, 824, 563, 7617, 27856, 616, 5293, 998, 538, 1142, 2013, 888, 8196, 602, 1344, 547, 3313, 952, 519, 476, 273, 11387, 616, 6697, 780, 7078, 912, 1103, 1948, 272, 267, 596, 666, 1205, 689, 835, 6843, 547, 519, 824, 676, 8429, 998, 2901, 681, 272, 610, 681, 273, 563, 1607, 6585, 3020, 585, 519, 1312, 11387, 267, 865, 789, 616, 6697, 780, 1103, 1948, 274, 267, 1577, 781, 882, 8475, 519, 27856, 538, 519, 476, 272, 560, 5547, 865, 602, 519, 5580, 2451, 19919, 568, 681, 272, 267, 519, 5580, 1318, 835, 568, 681, 273, 267, 519, 2539, 2451, 835, 568, 681, 274, 267, 543, 519, 2539, 1318, 835, 568, 681, 275, 269, 3767, 267, 5469, 602, 972, 616, 2185, 2081, 547, 29906, 689, 835, 6843, 547, 519, 824, 630, 23719, 8520, 532, 1394, 610, 556, 268, 6748, 513, 19919, 2567, 681, 272, 547, 681, 273, 267, 681, 272, 547, 681, 275, 267, 681, 274, 547, 681, 273, 267, 543, 681, 274, 547, 681, 275, 269, 18227, 519, 1482, 21458, 15007, 585, 519, 476, 273, 526, 5547, 267, 596, 666, 1294, 602, 519, 1482, 476, 275, 11507, 1205, 596, 689, 835, 6843, 547, 519, 824, 269, 4475, 267, 519, 11387, 616, 6697, 780, 3086, 267, 2119, 713, 609, 1966, 1948, 275, 780, 333, 327, 332, 961, 337, 454, 3383, 519, 476, 275, 628, 835, 3884, 1405, 6697, 1862, 3973, 875, 798, 594, 1265, 519, 1234, 336, 2496, 32465, 955, 337, 272, 9339, 268, 337, 273, 734, 454, 32465, 347, 27401, 1862, 347, 27401, 1862, 2008, 334, 19203, 347, 27401, 1862, 337, 274, 2807, 1862, 347, 19203, 334, 454, 32465, 347, 27401, 1862, 347, 27401, 1862, 2008, 32465, 955, 337, 275, 9339, 268, 337, 276, 13430, 25898, 621, 581, 519, 1482, 607, 713, 2496, 32465, 347, 955, 268, 337, 272, 955, 268, 337, 273, 955, 2008 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 18953, 883, 4154, 256, 2311, 1101, 267, 519, 4622, 11240, 338, 538, 1010, 16012, 5763, 267, 855, 4166, 30877, 602, 1256, 3694, 543, 1216, 2981, 883, 11344, 24112, 950, 20109, 676, 12161, 269, 16828, 267, 11068, 553, 5418, 6758, 609, 667, 542, 903, 639, 547, 9258, 519, 11963, 267, 1565, 602, 1570, 22590, 3112, 3142, 3020, 8788, 780, 3963, 1684, 1284, 11146, 570, 4459, 3122, 24079, 888, 4322, 9159, 2984, 7038, 721, 267, 4001, 5837, 2418, 267, 543, 5000, 2565, 3206, 269, 1358, 849, 7618, 721, 602, 1818, 9073, 568, 2067, 282, 1310, 782, 267, 1256, 10971, 543, 12325, 2887, 6408, 547, 4057, 10385, 12212, 256, 5047, 267, 8945, 3122, 8941, 4196, 607, 2686, 1065, 21627, 1559, 267, 8497, 5389, 543, 18836, 532, 1898, 6668, 1983, 5293, 1524, 998, 5481, 780, 3383, 1985, 942, 2576, 6645, 596, 513, 1650, 5473, 513, 14229, 21294, 1915, 4929, 14784, 267, 3314, 281, 596, 2811, 26378, 883, 513, 3638, 18916, 540, 1480, 5876, 543, 1686, 602, 25186, 10665, 543, 5553, 269, 17949, 519, 11878, 1107, 543, 1832, 707, 530, 1080, 827, 596, 256, 0, 2080, 568, 606, 1349, 689, 513, 2546, 912, 257, 301, 792, 12280, 267, 23800, 568, 11020, 11314, 267, 711, 8111, 11499, 4376, 563, 5415, 2963, 602, 2282, 11546, 987, 2833, 616, 1644, 547, 2634, 2534, 267, 711, 519, 16750, 563, 6624, 1589, 789, 4734, 741, 1560, 543, 909, 1657, 741, 1560, 666, 1413, 1524, 593, 1919, 543, 3976, 2161, 713, 568, 6169, 540, 1272, 3544, 540, 2669, 269, 1809, 713, 568, 1175, 811, 6999, 995, 3206, 607, 2141, 269, 1677, 4266, 267, 3670, 2090, 723, 6836, 930, 1106, 540, 713, 1505, 267, 6140, 593, 13487, 268, 541, 6135, 2550, 267, 543, 782, 723, 8959, 547, 1265, 606, 4401, 743, 611, 2013, 540, 2357, 573, 673, 8226, 269, 2353, 3238, 11093, 930, 17003, 12544, 4605, 610, 513, 3090, 593, 267, 2161, 267, 513, 4062, 540, 1957, 610, 606, 5907, 4159, 24568, 513, 1164, 4087, 267, 7298, 1152, 952, 596, 941, 13735, 2282, 519, 18109, 269, 634, 1382, 9858, 1705, 741, 1655, 547, 1118, 2386, 602, 18864, 1765, 2254, 519, 7189, 610, 11923, 267, 711, 519, 3461, 267, 543, 711, 945, 1197, 26906, 519, 3461, 26063, 1765, 30524, 917, 1018, 519, 17003, 729, 2394, 1310, 519, 11042, 941, 936, 563, 2108, 7197, 3744, 8263, 621, 786, 20196, 715, 14701, 338, 616, 4986, 811, 982, 519, 1587, 540, 521, 3010, 2237, 606, 2502, 543, 3015, 1576, 1770, 538, 513, 1837, 585, 1647, 1153, 1053, 1644, 547, 519, 1349, 1657, 267, 2519, 593, 834, 307, 4459, 3122, 24079, 257, 607, 851, 540, 834, 32628, 1315, 7087, 1315, 29042, 12267, 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, 279, 281, 9061, 4211, 534, 3385, 10003, 10222, 1186, 692, 7072, 692, 763, 1523, 540, 4155, 15143, 814, 1044, 3824, 11712, 538, 3345, 1977, 2528, 2094, 519, 8798, 540, 26873, 269, 634, 5191, 540, 18644, 519, 1930, 4155, 267, 3695, 1007, 4025, 267, 543, 2870, 20605, 8823, 723, 13631, 5481, 540, 7045, 3464, 269, 901, 3184, 6212, 593, 3444, 4211, 534, 3385, 4155, 15143, 267, 3246, 513, 3102, 7650, 540, 1018, 621, 14122, 267, 875, 547, 1544, 267, 1898, 4388, 267, 543, 1761, 11507, 269, 1635, 6313, 519, 2845, 6750, 3344, 543, 2189, 2833, 6035, 676, 971, 15322, 267, 1053, 786, 2744, 4030, 883, 519, 9029, 540, 4155, 15143, 543, 741, 1909, 538, 5935, 8225, 3961, 780, 8139, 10003, 10222, 1186, 692, 305, 1933, 15143, 616, 811, 982, 6071, 6283, 282, 789, 2099, 513, 8465, 543, 15138, 1259, 540, 10707, 269, 9521, 2757, 7477, 725, 10704, 1472, 1808, 18353, 267, 4155, 15143, 11168, 519, 3460, 3294, 9789, 1184, 540, 6602, 267, 694, 16781, 760, 640, 267, 543, 2123, 2208, 602, 4652, 9529, 2059, 519, 1259, 269, 769, 519, 2796, 540, 4516, 267, 21986, 532, 922, 5318, 8916, 8761, 519, 2197, 781, 2067, 5898, 267, 2686, 4763, 267, 543, 3140, 4644, 780, 5522, 8911, 513, 9061, 4211, 534, 3385, 10003, 25676, 692, 6524, 25054, 593, 513, 3444, 4211, 534, 3385, 4155, 7552, 267, 6297, 4058, 5849, 5347, 22892, 2429, 519, 3460, 269, 6206, 9270, 1331, 1384, 272, 269, 20907, 532, 281, 19372, 513, 10853, 6578, 6236, 4492, 3790, 267, 22581, 267, 1426, 267, 2238, 267, 543, 20314, 4293, 269, 2353, 11229, 7482, 9935, 1247, 3850, 4055, 585, 6397, 9276, 563, 273, 269, 27953, 19139, 281, 7994, 513, 8905, 1759, 593, 4690, 267, 942, 10148, 267, 543, 5551, 2833, 269, 15019, 3681, 949, 1331, 519, 3690, 4211, 534, 3385, 23681, 267, 10979, 26753, 5244, 3118, 267, 610, 16410, 582, 20417, 269, 3962, 3091, 3982, 18845, 267, 4091, 7685, 267, 543, 2591, 563, 274, 269, 27990, 19369, 281, 8564, 513, 6325, 6174, 5078, 585, 1279, 9883, 267, 8795, 4365, 2175, 267, 543, 1114, 1768, 23230, 269, 9524, 2834, 5826, 11974, 543, 3640, 2556, 3937, 267, 2645, 267, 543, 22302, 2694, 563, 275, 269, 6452, 7951, 725, 281, 4643, 16074, 13515, 20617, 267, 13326, 4313, 267, 1942, 267, 543, 13418, 269, 18169, 2039, 689, 17195, 759, 2176, 547, 15309, 545, 13122, 2572, 267, 4470, 593, 7375, 543, 2200, 563, 276, 269, 898, 10719, 776, 4886, 281, 8073, 513, 10690, 8430, 6028, 15792, 2230, 585, 15514, 2033, 640, 543, 8112, 269, 16748, 538, 6117, 2053, 267, 6059, 12625, 7389, 693, 1883, 6753, 267, 543, 17280, 2395, 585, 27644, 6381, 780, 29973, 9669, 585, 9061, 4211, 534, 3385, 10003, 10222, 1186, 692, 2414, 11694, 18399, 543, 7413, 2566, 1282, 513, 3444, 4211, 534, 3385, 4155, 7552, 267, 1832, 891, 4052, 10372, 538, 2247, 1384, 272, 269, 13268, 700, 4774, 281, 13488, 609, 8766, 561, 10212, 720, 547, 11126, 2139, 4859, 2230, 267, 3895, 10688, 267, 543, 2569, 804, 13616, 1369, 519, 6174, 563, 273, 269, 13773, 10281, 3603, 543, 715, 712, 1639, 281, 2961, 787, 7899, 540, 1216, 543, 14312, 16152, 547, 2226, 1648, 2157, 543, 2061, 9854, 269, 17115, 16516, 9397, 1450, 10256, 547, 12701, 267, 1964, 267, 543, 1201, 3241, 563, 274, 269, 11657, 519, 17714, 281, 16680, 2833, 998, 11147, 267, 7044, 267, 4760, 13366, 267, 610, 1514, 2923, 10311, 269, 1452, 803, 618, 657, 8190, 8823, 543, 4196, 607, 3407, 23106, 540, 519, 7045, 563, 275, 269, 22737, 28687, 1643, 1399, 281, 21673, 519, 6397, 543, 3082, 30780, 950, 4566, 1689, 1813, 547, 5007, 2188, 899, 4365, 267, 6808, 267, 610, 7344, 2152, 563, 276, 269, 6657, 8881, 21474, 281, 11408, 5957, 10160, 10964, 1206, 267, 1246, 6808, 3652, 267, 2463, 2199, 6042, 267, 543, 3635, 13657, 950, 2502, 538, 9205, 2238, 780, 14483, 12367, 543, 7464, 21509, 6201, 692, 17457, 2029, 814, 19117, 4155, 2468, 6137, 267, 5356, 5499, 3435, 585, 12445, 267, 22098, 1433, 902, 267, 543, 2792, 269, 29393, 899, 5616, 21476, 267, 654, 10270, 267, 5794, 16818, 321, 267, 543, 31177, 322, 2086, 20928, 3157, 543, 3986, 2949, 4398, 269, 5015, 267, 10357, 23655, 7341, 5000, 15790, 944, 532, 267, 3167, 6472, 267, 543, 4264, 2853, 1851, 17631, 780, 13146, 2090, 2303, 602, 4155, 15143, 6536, 2790, 8171, 267, 7794, 3347, 267, 543, 22962, 5380, 269, 589, 5619, 5342, 676, 634, 6115, 5403, 1336, 602, 476, 11025, 260, 540, 17013, 5433, 18668, 1310, 2921, 513, 4155, 7552, 267, 5316, 5024, 2318, 4093, 547, 29271, 642, 626, 553, 267, 2298, 942, 6170, 609, 15274, 267, 543, 2631, 540, 22920, 2390, 12032, 780, 6962, 692, 15899, 4211, 534, 3385, 4155, 15143, 2709, 606, 11108, 4316, 547, 2263, 3309, 4525, 267, 4529, 267, 543, 12583, 1369, 4516, 269, 3414, 22111, 4058, 267, 3743, 3375, 6194, 267, 543, 1930, 16490, 1145, 267, 1053, 666, 7832, 593, 12300, 9035, 602, 16637, 6093, 16314, 2833, 269, 11086, 267, 4155, 15143, 11349, 7115, 267, 1582, 26190, 267, 543, 7071, 585, 519, 1158, 3564, 938, 7450, 25074, 269, 0, 2080, 568, 606, 1349, 689, 513, 2546, 912, 21893, 476, 866, 3018, 6578, 7874, 7045, 4663, 11564, 11599, 24738, 607, 1134, 607, 6552, 2127, 540, 3162, 3013, 1519, 519, 8835, 808, 21819, 267, 7557, 340, 20266, 32627, 267, 8235, 570, 12792, 20403, 267, 12157, 643, 1014, 1325, 16210, 680, 8457, 267, 2311, 659, 4821, 19164, 267, 595, 3133, 334, 3851, 267, 8776, 637, 1642, 10266, 324, 267, 2974, 327, 7699, 807, 267, 4406, 9188, 18686, 267, 11370, 523, 657, 589, 2231, 543, 594, 7666, 1794, 340, 22484, 269, 1924, 1694, 1394, 267, 6001, 543, 2951, 609, 721, 538, 513, 2688, 32472, 936, 1633, 14903, 689, 519, 12144, 5032, 540, 21896, 547, 519, 6574, 1397, 593, 3618, 267, 4858, 345, 2812, 685, 21586, 2961, 333, 2526, 2336, 1607, 4663, 849, 8255, 538, 9258, 689, 21586, 632, 13191, 10098, 547, 14295, 698, 6511, 563, 1103, 2698, 596, 786, 3643, 476, 280, 2477, 593, 713, 14834, 1203, 675, 1519, 21896, 267, 28130, 267, 18475, 267, 30643, 267, 16266, 267, 18335, 267, 772, 2607, 340, 599, 267, 3474, 16331, 599, 543, 8478, 563, 25820, 281, 11278, 28794, 280, 30609, 819, 32237, 1341, 1269, 4968, 271, 10871, 32237, 630, 28462, 6246, 1341, 1269, 2537, 829, 1554, 994, 21920, 281, 476, 14530, 2395, 267, 476, 9873, 17334, 454, 16914, 7951, 566, 281, 476, 4649, 260, 20730, 267, 16823, 8075, 543, 3984, 1564, 267, 476, 3393, 260, 22742, 454, 9288, 1023, 281, 476, 9873, 2736, 325, 6814, 267, 476, 6872, 10543, 6980, 454, 9558, 1636, 281, 476, 1911, 260, 2688, 32472, 8496, 1203, 675, 936, 1633, 14903, 454, 21848, 9993, 281, 9039, 267, 782, 6502, 616, 10950, 454, 27026, 2450, 281, 476, 1839, 568, 3328, 267, 3010, 2237, 606, 3573, 543, 2143, 1576, 1770, 538, 513, 1837, 585, 2852, 1053, 1644, 547, 519, 1349, 1657, 267, 2519, 593, 834, 15899, 4211, 534, 3385, 10003, 10222, 1186, 257, 607, 851, 540, 834, 307, 30728, 1315, 4516, 1315, 4937, 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 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 2108, 3383, 267, 593, 3636, 4832, 17334, 1282, 3473, 531, 18742, 267, 519, 15702, 268, 2135, 4723, 5834, 3006, 12772, 1932, 1970, 585, 519, 3165, 267, 543, 513, 5884, 11325, 666, 2049, 269, 901, 666, 2049, 607, 513, 1267, 540, 17033, 2067, 2175, 610, 1317, 540, 1480, 2534, 602, 2164, 538, 4946, 5567, 267, 9436, 543, 8485, 5387, 267, 547, 1216, 1949, 269, 715, 19153, 2097, 689, 1082, 2959, 281, 18168, 267, 26873, 267, 21137, 267, 23226, 543, 1866, 269, 1323, 4430, 540, 5567, 11148, 547, 3432, 909, 519, 2208, 540, 13479, 543, 27298, 519, 8244, 540, 15702, 5135, 3034, 306, 5844, 4764, 1310, 513, 3819, 11963, 630, 6518, 649, 4076, 1185, 5176, 782, 4832, 1279, 264, 666, 11547, 7050, 5567, 883, 519, 25825, 563, 3383, 267, 581, 593, 519, 1413, 719, 585, 3165, 19754, 269, 7797, 513, 3165, 19754, 998, 938, 3896, 267, 9496, 721, 606, 4757, 610, 11090, 721, 593, 1514, 2923, 609, 519, 4087, 540, 519, 3165, 6146, 267, 543, 649, 3580, 1118, 2386, 519, 3345, 10491, 4972, 540, 7025, 10866, 4991, 602, 1344, 269, 1411, 666, 849, 1867, 543, 3950, 3165, 19754, 593, 519, 715, 7374, 292, 304, 3896, 269, 0, 32325, 281, 13517, 540, 519, 1646, 267, 6388, 267, 543, 6268, 540, 713, 11036, 563, 8340, 902, 281, 634, 9576, 5441, 540, 16711, 630, 13612, 301, 264, 3964, 519, 30926, 4065, 5741, 609, 606, 3872, 9886, 689, 513, 931, 24832, 540, 14453, 3549, 538, 476, 1960, 279, 269, 634, 6859, 941, 547, 2333, 519, 1702, 540, 25846, 301, 2818, 827, 519, 1764, 540, 7296, 593, 1857, 1072, 267, 1489, 11923, 538, 741, 1909, 607, 7426, 540, 7296, 29696, 5796, 267, 948, 873, 2333, 519, 7145, 267, 2298, 543, 7274, 540, 741, 7459, 267, 543, 1683, 1489, 547, 11923, 530, 5109, 547, 3247, 7296, 269, 589, 8313, 1572, 834, 290, 548, 2130, 519, 5794, 257, 729, 2854, 676, 543, 585, 11923, 267, 5466, 10269, 1852, 543, 7296, 29696, 269, 589, 9263, 3366, 5859, 1412, 5591, 1809, 1206, 262, 729, 2196, 547, 5000, 11923, 547, 16718, 7296, 563, 3519, 7501, 281, 634, 19541, 5170, 543, 814, 6603, 11923, 538, 519, 2136, 8003, 945, 723, 1044, 2810, 741, 9525, 538, 10269, 1852, 543, 2810, 741, 1378, 16718, 8942, 269, 2060, 519, 1383, 689, 25846, 301, 267, 519, 4139, 7027, 540, 12502, 525, 3370, 519, 834, 2975, 301, 3933, 1748, 593, 10269, 6604, 543, 7296, 29696, 1983, 585, 11923, 2580, 547, 581, 7856, 547, 2817, 16711, 4889, 725, 2429, 519, 1158, 563, 3412, 4124, 281, 769, 2342, 267, 476, 1789, 260, 540, 782, 2860, 7972, 616, 3361, 676, 7296, 269, 27051, 476, 277, 2929, 11923, 543, 4571, 342, 1161, 960, 2066, 2342, 267, 543, 952, 5985, 7458, 543, 23518, 547, 2232, 519, 3390, 540, 7296, 267, 519, 1761, 1764, 593, 1435, 28727, 1072, 1223, 581, 5318, 563, 12988, 547, 15845, 15369, 25003, 595, 612, 566, 281, 589, 16711, 13495, 622, 454, 12988, 547, 476, 1428, 628, 4139, 16711, 3194, 6837, 454, 306, 7950, 634, 3279, 570, 879, 4139, 454, 20809, 476, 2420, 268, 2190, 267, 476, 1220, 275, 0, 4322, 2395, 267, 609, 3025, 2324, 20716, 267, 649, 2461, 7836, 811, 942, 982, 2479, 31325, 693, 21697, 269, 2755, 1034, 540, 721, 4043, 547, 1589, 513, 6895, 568, 1175, 513, 6895, 267, 519, 2298, 540, 707, 6895, 568, 2965, 3833, 1271, 950, 621, 2501, 547, 7863, 707, 3750, 8289, 563, 20663, 17496, 15540, 630, 20302, 306, 1070, 849, 1634, 607, 7913, 16685, 853, 1778, 267, 568, 513, 1483, 2783, 602, 666, 2014, 14331, 267, 2363, 652, 1778, 267, 23324, 5075, 267, 3819, 4064, 543, 8405, 543, 13105, 1928, 563, 2467, 616, 513, 3099, 540, 1919, 602, 596, 1058, 581, 3257, 547, 2061, 621, 267, 1519, 4180, 519, 2953, 17568, 540, 707, 6895, 543, 2921, 9397, 689, 519, 5496, 269, 1717, 267, 519, 2298, 543, 6571, 540, 707, 6895, 849, 4249, 513, 2462, 851, 538, 7303, 22008, 306, 563, 13425, 707, 10814, 454, 2252, 621, 814, 513, 4544, 10678, 693, 1312, 7475, 621, 568, 513, 966, 16598, 10814, 269, 22732, 532, 621, 585, 513, 18074, 11085, 610, 18224, 5800, 15791, 616, 2111, 547, 4483, 811, 1239, 267, 5488, 267, 799, 1797, 2362, 21368, 543, 7406, 3928, 1107, 799, 18922, 547, 513, 1732, 4605, 543, 1447, 3750, 8833, 2676, 12507, 6002, 5749, 1406, 1175, 21697, 454, 4407, 972, 616, 519, 6654, 3017, 538, 2450, 267, 21697, 849, 4268, 7494, 538, 6571, 269, 898, 4422, 1510, 6031, 1107, 519, 2362, 519, 6571, 267, 519, 1732, 269, 1403, 596, 6108, 1034, 540, 707, 1554, 31325, 693, 519, 5496, 267, 1287, 513, 1732, 2298, 6895, 786, 1118, 513, 2462, 3017, 269, 6733, 585, 835, 602, 568, 912, 7476, 519, 17568, 540, 707, 6895, 1318, 454, 27039, 593, 707, 2115, 543, 14764, 267, 596, 949, 849, 4324, 689, 513, 3677, 6895, 610, 2789, 21697, 269, 21894, 1568, 585, 596, 267, 596, 1058, 2990, 707, 6895, 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 ]
[ 834, 26387, 15058, 8217, 561, 257, 834, 307, 513, 661, 661, 31116, 2421, 10081, 454, 28387, 7790, 13826, 454, 6748, 722, 373, 26387, 15058, 8217, 630, 320, 1948, 561, 264, 815, 19467, 630, 26387, 15058, 8217, 561, 264, 630, 307, 513, 661, 661, 264, 587, 374, 454, 2421, 10081, 454, 336, 539, 454, 10113, 454, 25785, 512, 454, 19651, 834, 630, 573, 512, 815, 661, 264, 815, 554, 338, 318, 529, 318, 24105, 512, 4840, 2421, 10081, 454, 10113, 454, 25785, 512, 544, 512, 7055, 817, 2541, 834, 12953, 554, 338, 318, 529, 318, 24105, 512, 257, 834, 263, 332, 267, 512, 10807, 815, 554, 338, 318, 24525, 26174, 512, 4840, 6533, 3489, 561, 678, 1141, 834, 339, 815, 570, 544, 561, 678, 4840, 2421, 630, 5471, 529, 30449, 18425, 915, 10326, 20216, 9151, 554, 338, 318, 529, 318, 24105, 318, 3698, 554, 338, 318, 24525, 26174, 4732, 31663, 994, 28387, 834, 5417, 318, 916, 564, 544, 630, 20123, 529, 564, 512, 10807, 815, 1617, 529, 564, 512, 4840, 6748, 19467, 8548, 738, 529, 564, 314, 1993, 561, 678, 2639, 6748, 722, 373, 263, 332, 267, 512, 10807, 815, 554, 338, 318, 24525, 26174, 512, 587, 374, 454, 2421, 10081, 454, 10113, 454, 25785, 512, 544, 512, 7055, 817, 2541, 834, 12953, 554, 338, 318, 529, 318, 24105, 512, 257, 834, 529, 318, 515, 777, 630, 573, 512, 17983, 834, 263, 332, 267, 512, 10807, 815, 554, 338, 318, 24525, 26174, 512, 4840, 6533, 3489, 642, 561, 678, 1141, 834, 339, 815, 570, 642, 561, 678, 4840, 2421, 630, 5471, 529, 10326, 20216, 9151, 554, 338, 318, 529, 318, 24105, 318, 3698, 994, 1156, 576, 834, 339, 262, 815, 19467, 561, 678, 4840, 6748, 722, 373, 263, 332, 267, 512, 10807, 815, 554, 338, 318, 24525, 26174, 512, 587, 374, 454, 2421, 10081, 454, 17647, 834, 529, 318, 515, 777, 561, 31961, 568, 318, 515, 777, 678, 4840, 6748, 722, 373, 529, 318, 515, 777, 630, 573, 512, 264, 587, 374, 454, 6748, 722, 373, 339, 815, 570, 642, 561, 678, 587, 374, 454, 2421, 630, 5471, 529, 10326, 20216, 9151, 7329, 318, 1952, 569, 568, 318, 515, 777, 4732, 31663, 263, 272, 994, 529, 318, 515, 777, 4732, 31663, 263, 274, 264, 568, 318, 515, 777, 4732, 31663, 263, 275, 264, 568, 318, 515, 777, 4732, 31663, 263, 276, 4917, 28387, 834, 529, 318, 515, 777, 630, 573, 512, 10807, 4840, 6748, 722, 373, 339, 262, 815, 19467, 561, 678, 587, 374, 454, 6748, 19467, 318, 515, 777, 318, 529, 318, 515, 777, 454, 2421, 10081, 454, 10113, 454, 25785, 512, 544, 512, 7055, 817, 2541, 834, 12953, 554, 338, 318, 529, 318, 24105, 512, 257, 834, 263, 332, 267, 512, 10807, 815, 554, 338, 318, 24525, 26174, 512, 4840, 28387, 834, 332, 815, 1130, 630, 573, 512, 264, 4840, 2421, 630, 5471, 529, 30449, 18425, 915, 10326, 20216, 9151, 554, 338, 318, 529, 318, 24105, 318, 3698, 454, 26387, 318, 24525, 26174, 4732, 31663, 7329, 318, 1952, 569, 1130, 4732, 31663, 994, 336, 539, 692, 754, 0, 16829, 593, 676, 918, 1779, 545, 1712, 454, 24927, 9779, 20603, 692, 258, 645, 7374, 1840, 540, 1079, 8918, 2338, 692, 763, 1966, 649, 2811, 5466, 3322, 7900, 23030, 595, 10757, 27252, 630, 6195, 291, 264, 1840, 540, 1079, 8918, 2338, 269, 645, 7374, 568, 513, 1259, 540, 8204, 8918, 9704, 1210, 513, 9352, 1062, 267, 1141, 1142, 8918, 7857, 568, 6719, 676, 922, 9352, 6697, 269, 634, 4305, 568, 547, 1711, 513, 1982, 602, 666, 1685, 645, 7374, 1840, 593, 1079, 8918, 2338, 543, 1683, 519, 1267, 538, 645, 7374, 1106, 780, 1012, 9046, 15048, 543, 13517, 692, 11693, 1079, 8918, 2338, 267, 649, 1616, 547, 1685, 645, 7374, 1840, 593, 873, 269, 645, 7374, 1840, 3322, 4946, 519, 1079, 2338, 538, 513, 1259, 602, 24947, 519, 645, 7374, 6041, 540, 1142, 7857, 269, 901, 1797, 602, 519, 1840, 1058, 581, 5340, 7857, 676, 7857, 267, 543, 952, 519, 1267, 540, 4946, 1079, 9704, 20489, 476, 280, 267, 519, 4163, 1058, 581, 9070, 730, 547, 519, 1985, 2362, 19195, 7857, 780, 1012, 7151, 692, 4131, 781, 2015, 519, 2338, 476, 1321, 543, 476, 277, 269, 769, 645, 7374, 1106, 267, 476, 1321, 568, 6719, 607, 476, 1822, 272, 476, 9826, 271, 267, 543, 476, 277, 568, 6719, 607, 476, 1822, 271, 476, 18733, 271, 269, 1879, 649, 1039, 891, 2338, 267, 649, 1205, 476, 1240, 538, 2834, 8918, 1106, 269, 769, 645, 7374, 1840, 267, 476, 279, 568, 6719, 607, 476, 1911, 271, 267, 543, 476, 272, 568, 6719, 607, 476, 1822, 272, 269, 634, 1267, 568, 476, 1822, 272, 476, 1911, 271, 267, 799, 568, 519, 645, 7374, 6041, 540, 476, 1240, 780, 1012, 22830, 547, 16534, 519, 9046, 692, 763, 1883, 2856, 547, 4194, 713, 1966, 568, 547, 1685, 1840, 7857, 676, 7857, 1247, 6236, 4163, 2418, 585, 1142, 1840, 5106, 269, 1284, 991, 547, 2936, 513, 7271, 547, 6460, 8918, 9704, 547, 741, 7222, 476, 275, 19229, 9352, 11269, 630, 6195, 291, 1106, 264, 543, 849, 6023, 4163, 18640, 780, 1012, 28342, 665, 1712, 692, 2080, 781, 519, 15554, 665, 1712, 585, 519, 5690, 1384, 18606, 10818, 1205, 19368, 16325, 2187, 604, 1003, 13843, 476, 271, 543, 1003, 10922, 476, 280, 912, 8873, 630, 10420, 7565, 11133, 1341, 1412, 271, 5073, 12828, 912, 8873, 630, 10420, 7565, 11133, 910, 476, 1015, 1341, 1412, 288, 17210, 10818, 9352, 19368, 16325, 267, 3063, 2187, 14310, 815, 834, 4840, 333, 815, 1003, 454, 6112, 562, 3436, 476, 271, 912, 14310, 815, 1205, 19368, 3799, 4939, 476, 273, 264, 1341, 1267, 454, 333, 1315, 284, 476, 273, 454, 604, 3063, 568, 3020, 912, 333, 815, 3259, 540, 1267, 454, 6112, 562, 2999, 476, 275, 912, 14310, 815, 834, 271, 257, 1341, 1267, 454, 333, 10030, 454, 8873, 1267, 692, 10818, 536, 7251, 3849, 1288, 3287, 267, 586, 2187, 8999, 815, 1535, 1341, 586, 454, 604, 2040, 2999, 476, 271, 912, 8873, 454, 753, 815, 834, 4840, 6112, 2040, 3436, 476, 280, 912, 753, 815, 9352, 19368, 4433, 636, 4939, 476, 1015, 267, 3020, 264, 1341, 20735, 454, 8999, 1315, 284, 476, 1015, 454, 753, 815, 9352, 19368, 4433, 636, 4939, 476, 1015, 267, 7301, 264, 1341, 20735, 454, 2745, 834, 263, 2580, 1535, 267, 834, 1341, 14307, 586, 267, 834, 2567, 14307, 20735, 32526, 1012, 23990, 19247, 692, 272, 269, 2387, 1326, 19368, 16325, 23375, 17838, 513, 8918, 7857, 547, 922, 7222, 32412, 2862, 1915, 6041, 563, 273, 269, 2387, 321, 2435, 19368, 16325, 267, 3063, 23375, 17838, 513, 8918, 7857, 547, 922, 645, 7374, 9352, 6041, 269, 1403, 2387, 2169, 571, 319, 568, 3020, 267, 519, 1599, 8591, 3056, 21325, 547, 2327, 519, 3977, 568, 513, 476, 275, 19229, 9352, 6041, 563, 274, 269, 2387, 321, 7251, 3849, 1288, 3287, 267, 586, 23375, 15824, 645, 7374, 1840, 540, 1079, 2338, 269, 898, 12055, 919, 998, 519, 9704, 540, 519, 2040, 543, 17838, 1142, 7857, 547, 922, 645, 7374, 6041, 780, 1012, 28088, 656, 19243, 19247, 692, 272, 269, 1280, 519, 2338, 476, 1321, 543, 476, 277, 1384, 1892, 645, 7374, 1840, 281, 476, 1240, 454, 1892, 645, 7374, 6041, 540, 476, 1240, 281, 476, 1822, 272, 476, 1911, 271, 454, 1892, 634, 3977, 568, 834, 11693, 1003, 281, 476, 1240, 8487, 273, 269, 1280, 519, 2338, 476, 278, 543, 476, 1240, 1384, 1892, 645, 7374, 1840, 281, 476, 1839, 454, 1892, 645, 7374, 6041, 540, 476, 1839, 281, 476, 9826, 271, 476, 18089, 272, 454, 1892, 634, 3977, 568, 834, 11693, 1003, 281, 476, 1839, 8487, 274, 269, 1280, 519, 2338, 476, 3393, 543, 476, 3953, 1384, 1892, 645, 7374, 1840, 281, 476, 6507, 454, 1892, 645, 7374, 6041, 540, 476, 6507, 281, 476, 18733, 272, 476, 18733, 272, 454, 1892, 634, 3977, 568, 834, 11693, 1003, 281, 476, 6507, 8487, 275, 269, 1280, 519, 2338, 476, 9340, 543, 476, 15171, 1384, 1892, 645, 7374, 1840, 281, 476, 25838, 454, 1892, 645, 7374, 6041, 540, 476, 25838, 281, 476, 9826, 271, 476, 18089, 271, 476, 9826, 272, 454, 1892, 634, 3977, 568, 834, 11693, 1003, 281, 476, 25838, 6231, 1012, 5384, 29203, 692, 763, 942, 6988, 540, 519, 5690, 5097, 5673, 593, 519, 1840, 543, 8520, 4238, 269, 4595, 891, 4238, 616, 5340, 18615, 569, 543, 4096, 593, 519, 1297, 540, 9704, 538, 519, 3403, 2338, 267, 519, 942, 6988, 666, 581, 4114, 13846, 607, 744, 18217, 1070, 1141, 715, 568, 519, 1297, 540, 9704, 538, 519, 3677, 3403, 1297, 780, 1012, 19410, 692, 8923, 2671, 707, 1702, 547, 2087, 3009, 543, 1543, 3044, 269, 4746, 10505, 707, 22027, 267, 543, 1449, 2013, 269, 1284, 2087, 676, 707, 5955, 269, 1284, 786, 2119, 547, 8207, 707, 13214, 607, 4166, 607, 2009, 780, 290, 20975, 454, 9824, 894, 5403, 0, 258, 634, 3117, 11962, 26761, 538, 9119, 281, 1215, 547, 13760, 519, 19693, 15580, 540, 7827, 692, 15916, 267, 27503, 22697, 256, 4653, 267, 649, 2811, 2469, 547, 10994, 519, 1523, 540, 519, 19693, 15580, 540, 7827, 269, 1635, 1620, 713, 267, 596, 3513, 723, 513, 1454, 1732, 9787, 540, 6128, 267, 2523, 950, 7231, 609, 5276, 3347, 269, 2913, 781, 4685, 538, 2439, 2691, 596, 1589, 540, 1526, 3599, 267, 596, 1522, 1589, 540, 1945, 602, 2760, 2242, 267, 2141, 3788, 519, 1482, 269, 769, 6128, 267, 713, 1526, 3599, 4249, 513, 11358, 1909, 267, 2523, 950, 649, 2911, 827, 5276, 3347, 269, 898, 781, 1572, 519, 19693, 15580, 540, 7827, 780, 1012, 476, 272, 269, 19693, 15580, 540, 7827, 281, 634, 1548, 692, 1103, 6128, 267, 519, 19693, 15580, 540, 7827, 4016, 547, 513, 5812, 1689, 538, 519, 1871, 540, 513, 7274, 936, 513, 1808, 1974, 540, 942, 269, 898, 779, 606, 1898, 1523, 538, 1620, 5276, 3347, 543, 568, 1419, 2404, 609, 519, 9386, 540, 513, 1899, 538, 24275, 780, 1012, 5153, 8386, 28157, 6651, 281, 15531, 519, 19693, 15580, 540, 7827, 692, 2162, 5153, 476, 272, 281, 13760, 519, 31950, 9222, 692, 763, 1101, 1900, 538, 8159, 519, 19693, 15580, 540, 7827, 568, 1620, 519, 9183, 269, 3657, 596, 7231, 609, 513, 1966, 1644, 547, 3845, 267, 942, 267, 610, 5310, 513, 2883, 3510, 286, 25506, 519, 4632, 3238, 538, 707, 3510, 780, 2162, 5153, 476, 273, 281, 10576, 519, 7827, 538, 2659, 25159, 692, 9202, 267, 596, 991, 547, 2697, 875, 1454, 707, 4632, 1689, 269, 1280, 1383, 267, 952, 596, 2461, 7231, 609, 513, 3845, 6066, 9183, 267, 875, 1454, 3845, 568, 4988, 936, 513, 1978, 1974, 286, 1411, 1131, 10208, 519, 3355, 1871, 689, 519, 3803, 1871, 547, 1265, 713, 1689, 780, 2162, 5153, 476, 274, 281, 12433, 519, 19693, 15580, 540, 7827, 692, 5475, 8159, 519, 1689, 538, 707, 4632, 267, 596, 666, 1631, 5173, 519, 19693, 15580, 540, 7827, 269, 901, 568, 3274, 519, 5223, 540, 519, 1689, 538, 707, 8200, 4756, 630, 3697, 3845, 538, 513, 3845, 6066, 9183, 264, 547, 519, 1689, 538, 707, 4830, 4756, 630, 3697, 942, 538, 519, 1482, 9183, 1040, 769, 12863, 2474, 267, 621, 779, 6695, 2765, 18950, 4219, 538, 315, 586, 20972, 263, 4219, 538, 315, 1535, 264, 6525, 780, 2690, 3236, 267, 952, 513, 1286, 6227, 3230, 2568, 2330, 5195, 538, 3230, 273, 2330, 3108, 267, 519, 1689, 538, 3845, 568, 3230, 2568, 2330, 5195, 267, 543, 519, 1689, 538, 942, 568, 3230, 273, 2330, 3108, 269, 634, 19693, 15580, 540, 7827, 267, 610, 519, 3432, 540, 519, 1286, 267, 1131, 581, 6695, 2765, 346, 2568, 2410, 273, 348, 815, 476, 1789, 2330, 5195, 829, 5662, 780, 6546, 779, 621, 256, 1411, 4076, 1631, 4121, 1018, 519, 19693, 15580, 540, 7827, 568, 543, 875, 547, 5173, 621, 269, 5457, 267, 2259, 2306, 3501, 267, 865, 1810, 1406, 19292, 547, 2119, 856, 811, 1806, 547, 7794, 707, 1620, 269, 8414, 12719, 2439, 2162, 1548, 1004, 2161, 827, 834, 763, 3117, 11962, 26761, 538, 9119, 281, 1215, 547, 13760, 519, 19693, 15580, 540, 7827, 910, 20306, 677, 1652, 4569, 281, 1284, 6435, 4841, 6258, 547, 700, 10976, 292, 9119, 257, 2496, 5591, 835, 14452, 2943, 780, 311, 454, 3393, 260, 5508, 293, 692, 21918, 1243, 942, 1152, 2439, 24591, 3683, 476, 3393, 30515, 6347, 12717, 1269, 2412, 898, 729, 259, 8660, 269, 4200, 1631, 621, 568, 8096, 5392, 269, 4200, 0, 258, 8752, 14506, 543, 4676, 3555, 692, 1012, 4985, 547, 4147, 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 ]
[ 540, 519, 12019, 2782, 267, 543, 609, 519, 3119, 3804, 540, 17420, 3084, 4690, 543, 3084, 3354, 267, 519, 2136, 2276, 262, 24526, 543, 13455, 1489, 585, 2257, 543, 2029, 2813, 513, 8013, 543, 3608, 2257, 543, 2029, 5647, 1062, 267, 543, 519, 2136, 2276, 6603, 519, 1158, 781, 8445, 538, 2257, 543, 2029, 269, 634, 2136, 2276, 5129, 513, 3056, 1909, 538, 1034, 2127, 540, 1158, 2257, 543, 2029, 267, 711, 1152, 538, 2474, 540, 519, 1297, 540, 17587, 30410, 8240, 538, 2257, 2810, 547, 519, 5207, 538, 519, 1158, 267, 855, 849, 538, 2474, 540, 519, 7372, 27614, 540, 3864, 1053, 547, 519, 2136, 2276, 267, 538, 22880, 4334, 547, 519, 840, 21351, 1974, 269, 6554, 4507, 22541, 543, 9450, 519, 13218, 602, 11478, 1369, 519, 9945, 540, 519, 840, 21351, 2257, 543, 2029, 1062, 543, 2872, 267, 543, 2813, 1007, 3084, 1382, 5238, 269, 1635, 5885, 2257, 543, 2029, 28110, 4724, 1279, 3856, 3084, 1646, 267, 2229, 267, 9945, 267, 543, 2872, 4646, 513, 1434, 11450, 267, 547, 946, 519, 4892, 262, 1378, 31633, 269, 1703, 568, 513, 1950, 16799, 1063, 2872, 267, 9945, 267, 543, 2229, 607, 930, 2101, 6639, 7835, 1847, 689, 1382, 547, 2344, 267, 543, 972, 568, 513, 3638, 2095, 540, 2093, 543, 1004, 1063, 6280, 1382, 267, 4853, 1382, 267, 543, 1587, 1646, 563, 23612, 267, 12250, 10465, 2242, 3895, 519, 2949, 8647, 540, 519, 3084, 5647, 1062, 454, 763, 2596, 5943, 540, 519, 772, 2529, 269, 2257, 543, 2029, 1062, 543, 1382, 1062, 729, 2907, 4646, 538, 519, 3735, 476, 3422, 271, 338, 281, 630, 272, 264, 2311, 519, 5207, 1377, 540, 2229, 972, 616, 513, 25640, 543, 28007, 1560, 585, 2257, 543, 2029, 3609, 3664, 910, 519, 6519, 5600, 8433, 540, 3163, 543, 5303, 630, 302, 4306, 264, 630, 852, 26948, 519, 6519, 5600, 8433, 540, 3163, 543, 5303, 8889, 267, 744, 4306, 303, 1070, 519, 8549, 7027, 593, 3163, 543, 5303, 630, 674, 290, 4306, 264, 630, 852, 519, 2817, 3163, 543, 5303, 7027, 267, 715, 4306, 290, 264, 543, 519, 5518, 781, 3163, 27545, 7027, 630, 4916, 3722, 264, 630, 852, 519, 5518, 781, 3163, 543, 5303, 27545, 7027, 267, 623, 17129, 5148, 543, 630, 273, 264, 513, 3309, 7616, 1062, 269, 634, 3670, 2101, 13623, 543, 8041, 5702, 3238, 538, 2257, 543, 2029, 2221, 281, 519, 4972, 540, 16470, 267, 519, 4972, 540, 2657, 543, 5398, 28054, 630, 27146, 3320, 519, 2817, 23941, 540, 2657, 1070, 8331, 267, 519, 4972, 540, 6052, 267, 519, 2817, 3163, 7690, 267, 543, 519, 4972, 540, 11982, 941, 782, 4646, 1282, 713, 1974, 282, 630, 274, 264, 513, 1382, 1062, 609, 513, 2312, 6498, 540, 4074, 1851, 922, 3334, 281, 9945, 616, 5097, 3743, 585, 2596, 1382, 267, 2229, 1382, 5238, 616, 5097, 3743, 585, 4294, 543, 2101, 3621, 1382, 267, 543, 9746, 1382, 5238, 616, 5097, 3743, 585, 4294, 543, 2101, 3621, 1382, 269, 23654, 1382, 5238, 941, 5097, 3743, 585, 4294, 1382, 543, 8097, 1646, 563, 7712, 519, 476, 3192, 271, 338, 267, 607, 519, 3486, 1604, 814, 4957, 267, 519, 2136, 2276, 814, 1044, 1641, 547, 519, 1764, 543, 2591, 540, 5007, 6735, 281, 519, 3282, 6433, 538, 519, 476, 3192, 271, 338, 267, 519, 2804, 2591, 540, 3567, 538, 519, 476, 2735, 271, 338, 267, 519, 5181, 476, 1556, 22681, 6285, 538, 476, 1220, 272, 267, 543, 519, 4473, 540, 5607, 6719, 676, 3624, 2221, 267, 519, 2949, 4222, 543, 5718, 540, 519, 2136, 2276, 538, 2257, 543, 2029, 634, 2949, 4222, 543, 5718, 540, 519, 2136, 2276, 538, 2257, 543, 2029, 814, 17379, 5266, 269, 2311, 519, 1482, 942, 267, 972, 723, 1044, 1082, 2242, 538, 519, 1106, 543, 3919, 540, 2257, 543, 2029, 5647, 269, 10801, 713, 1184, 267, 4892, 723, 4797, 547, 3048, 622, 538, 1931, 547, 3082, 547, 519, 4657, 3510, 267, 1247, 1869, 4509, 513, 1360, 2178, 11610, 676, 1565, 689, 15712, 971, 607, 3567, 269, 1280, 1383, 267, 1310, 1373, 12517, 13934, 676, 3567, 538, 519, 476, 2735, 271, 338, 267, 519, 772, 2529, 269, 5249, 24091, 547, 3142, 827, 513, 22820, 1974, 540, 2804, 543, 6639, 1646, 538, 519, 476, 1960, 271, 338, 563, 3080, 540, 519, 9342, 540, 1689, 538, 519, 772, 2529, 269, 590, 2316, 1062, 267, 607, 19134, 2798, 856, 267, 568, 711, 519, 16646, 610, 556, 32360, 540, 519, 3003, 1062, 267, 855, 513, 22112, 1689, 281, 834, 1492, 5647, 610, 16646, 540, 1978, 3844, 5238, 267, 3347, 267, 543, 6788, 1369, 519, 5647, 1062, 267, 855, 713, 1689, 1281, 711, 2179, 547, 513, 7004, 540, 519, 3003, 1062, 269, 589, 1007, 7954, 540, 2962, 568, 7550, 676, 519, 1883, 5716, 538, 713, 1062, 1701, 476, 1280, 1383, 267, 519, 476, 2735, 271, 645, 4660, 5622, 2920, 3366, 547, 1271, 2242, 538, 6280, 2623, 267, 609, 930, 9945, 4742, 811, 5702, 13615, 547, 2872, 982, 1354, 543, 930, 811, 20218, 4724, 5010, 1646, 267, 855, 1082, 9945, 6967, 538, 741, 3105, 2081, 269, 634, 10465, 1689, 568, 519, 2702, 540, 519, 3003, 5647, 1062, 547, 2226, 922, 5389, 543, 9342, 267, 1247, 693, 519, 1482, 942, 2348, 5499, 2694, 602, 3082, 610, 1291, 1007, 7835, 269, 12989, 649, 2285, 1079, 1806, 267, 6673, 6938, 267, 799, 4564, 5647, 538, 1007, 2609, 540, 519, 772, 2529, 269, 7616, 1062, 267, 543, 519, 2817, 15089, 12771, 19541, 630, 13585, 296, 1070, 799, 4564, 5647, 538, 3347, 538, 519, 5647, 1062, 563, 2752, 5183, 729, 3964, 538, 476, 4198, 279, 538, 3210, 547, 519, 8168, 9682, 590, 1584, 23364, 543, 7620, 5059, 593, 2230, 2029, 269, 476, 3422, 271, 4718, 8121, 5183, 17479, 607, 2596, 1382, 269, 476, 3192, 271, 338, 4718, 8121, 5183, 6521, 547, 513, 4108, 5692, 543, 519, 2012, 729, 4957, 547, 16470, 11628, 3194, 18768, 10837, 630, 291, 2752, 5183, 264, 538, 476, 3192, 273, 269, 634, 1390, 1967, 540, 8121, 5183, 22230, 2752, 5183, 814, 1044, 900, 4327, 676, 824, 8041, 267, 971, 607, 519, 4972, 540, 13067, 14657, 8232, 609, 670, 2752, 5183, 543, 519, 4972, 540, 6052, 609, 8121, 5183, 7232, 563, 2752, 5183, 2813, 513, 2565, 10721, 2359, 2497, 267, 3366, 676, 513, 1164, 7779, 2359, 2319, 267, 1818, 3573, 946, 540, 3744, 945, 6410, 1063, 2872, 543, 2257, 267, 16107, 4540, 1382, 22475, 543, 10319, 6127, 630, 337, 1430, 982, 2870, 1007, 1382, 7740, 1070, 543, 7616, 3785, 538, 1007, 543, 1950, 2127, 540, 811, 1279, 3856, 2104, 4644, 269, 8121, 5183, 729, 2016, 9645, 13190, 547, 1445, 834, 637, 1545, 593, 7740, 540, 1382, 17284, 630, 7945, 607, 20037, 267, 31257, 631, 749, 517, 267, 543, 18628, 264, 1510, 2543, 547, 519, 13664, 3892, 2152, 602, 22085, 293, 1590, 2015, 269, 6270, 606, 1935, 2337, 1711, 6280, 2861, 1382, 2950, 609, 519, 4336, 2360, 543, 6617, 2556, 547, 1711, 519, 2556, 3356, 538, 513, 1880, 2361, 1701, 476, 5047, 267, 621, 568, 1863, 547, 8366, 3818, 4458, 3625, 14828, 630, 23026, 7616, 264, 547, 2508, 1382, 540, 513, 1164, 16151, 2470, 563, 273, 634, 2817, 30594, 19541, 630, 13585, 296, 994, 763, 715, 25712, 729, 6069, 676, 519, 22735, 7245, 538, 476, 1220, 272, 269, 2552, 9009, 547, 513, 7839, 3084, 31605, 267, 715, 25712, 568, 711, 513, 3844, 1982, 609, 513, 5094, 6578, 693, 519, 3084, 1377, 547, 1489, 29113, 267, 855, 2864, 513, 25640, 11036, 281, 547, 3895, 9316, 1851, 519, 1585, 4143, 13623, 543, 8041, 540, 519, 5313, 2229, 602, 1489, 29113, 998, 513, 3099, 540, 6127, 971, 607, 1523, 267, 4058, 6054, 267, 2792, 267, 5188, 543, 6268, 267, 543, 547, 11282, 519, 4143, 3084, 3646, 547, 3895, 519, 1646, 540, 3084, 29113, 607, 513, 2898, 269, 634, 715, 25712, 568, 20291, 676, 519, 15089, 657, 7051, 3163, 7177, 5303, 4427, 1260, 2466, 6590, 630, 10064, 4953, 264, 896, 519, 2817, 3163, 543, 5303, 7027, 543, 519, 6519, 5600, 8433, 540, 3163, 543, 5303, 8889, 267, 2324, 609, 1585, 13623, 543, 8041, 547, 3715, 715, 25712, 10862, 2127, 543, 7355, 585, 10442, 1585, 2238, 563, 1103, 476, 1001, 275, 267, 715, 25712, 6192, 519, 1101, 5123, 540, 922, 5692, 10422, 3722, 4306, 781, 11359, 6268, 540, 715, 25712, 2829, 267, 834, 7712, 715, 25712, 729, 9250, 538, 476, 1220, 272, 267, 519, 5313, 2229, 814, 4547, 1927, 513, 3395, 1297, 540, 3444, 268, 698, 1890, 29113, 2238, 269, 3245, 674, 312, 476, 1220, 276, 547, 674, 312, 476, 1001, 275, 267, 476, 277, 4343, 954, 698, 1890, 21769, 941, 6383, 267, 3395, 689, 476, 3374, 21769, 538, 674, 312, 476, 1220, 276, 547, 476, 14689, 21769, 538, 674, 312, 476, 1001, 274, 269, 769, 14966, 609, 891, 1367, 11558, 2238, 267, 538, 476, 1001, 271, 519, 5313, 2229, 781, 3444, 268, 698, 1890, 21769, 3459, 547, 1445, 593, 519, 1412, 301, 534, 12771, 6178, 1155, 19541, 262, 630, 10064, 296, 1070, 513, 10319, 11036, 609, 693, 2547, 1614, 5313, 8041, 10115, 543, 25640, 1472, 2127, 540, 1713, 3084, 1719, 269, 1703, 568, 513, 22820, 538, 5698, 538, 930, 540, 891, 1271, 2127, 540, 715, 10485, 1701, 476, 634, 623, 3722, 4306, 1867, 11943, 602, 519, 715, 25712, 729, 3811, 538, 922, 1101, 5123, 563, 4353, 269, 1548, 666, 649, 1451, 689, 519, 2136, 2276, 888, 272, 12834, 540, 519, 772, 2529, 269, 15232, 454, 763, 1646, 540, 2257, 543, 2029, 538, 519, 2136, 2276, 568, 12082, 538, 1312, 1686, 543, 2528, 267, 607, 1134, 607, 519, 1267, 540, 2229, 3609, 5583, 543, 1489, 269, 1677, 17412, 267, 972, 616, 1896, 2188, 602, 1118, 519, 2136, 2276, 513, 2257, 543, 2029, 1379, 5264, 912, 263, 272, 264, 1323, 4853, 1382, 1062, 543, 6280, 1062, 602, 568, 15095, 609, 2344, 6127, 3248, 263, 273, 264, 30785, 2229, 17568, 543, 1279, 3856, 543, 13455, 1489, 538, 2257, 543, 2029, 1646, 3248, 263, 274, 264, 589, 2468, 12268, 924, 11450, 1063, 2229, 267, 9945, 543, 1870, 3248, 263, 275, 264, 1323, 8561, 593, 5377, 5346, 5876, 543, 13190, 3248, 263, 276, 264, 29615, 638, 2329, 540, 1489, 1949, 630, 324, 3052, 1421, 14679, 3854, 11850, 263, 277, 264, 519, 4390, 585, 12250, 5647, 563, 8310, 855, 711, 2547, 267, 621, 568, 1271, 547, 2446, 15421, 269, 634, 2136, 2276, 814, 1831, 513, 3621, 543, 6639, 1379, 5264, 711, 1152, 1317, 621, 814, 8036, 513, 1804, 1297, 540, 16805, 3744, 543, 8030, 267, 855, 849, 1317, 540, 513, 1895, 540, 5140, 3864, 3744, 945, 3357, 547, 519, 2136, 2276, 1282, 2622, 2782, 4083, 1813, 547, 20655, 267, 607, 1134, 607, 513, 3099, 540, 15421, 689, 782, 936, 519, 1158, 267, 1519, 3624, 269, 634, 2136, 2276, 814, 28322, 689, 513, 1804, 1297, 540, 16805, 3744, 543, 8030, 945, 3357, 547, 519, 2136, 2276, 607, 513, 1267, 540, 20655, 1282, 2622, 2782, 4083, 267, 607, 1134, 607, 689, 513, 2647, 3099, 540, 3744, 543, 8030, 689, 1472, 519, 1158, 267, 1519, 3624, 563, 273, 1548, 1281, 519, 1977, 1995, 4001, 721, 888, 763, 772, 2529, 269, 1646, 1995, 814, 922, 1378, 3084, 2175, 543, 2528, 267, 799, 616, 1114, 689, 3624, 781, 269, 3509, 2853, 3112, 581, 2047, 22666, 610, 708, 18469, 267, 1577, 4805, 23652, 269, 1717, 267, 972, 616, 2489, 3652, 585, 519, 1646, 540, 2257, 543, 2029, 543, 519, 946, 540, 2257, 543, 2029, 547, 4196, 3084, 2804, 543, 1514, 1646, 282, 32047, 267, 607, 513, 1804, 2197, 602, 849, 10953, 2257, 543, 2029, 585, 3084, 3853, 267, 519, 1995, 540, 519, 23806, 1590, 723, 1945, 547, 1451, 543, 8300, 269, 901, 1957, 11099, 602, 519, 1995, 540, 519, 2136, 2276, 666, 948, 3624, 1628, 513, 2178, 2257, 543, 2029, 2197, 538, 1079, 3344, 281, 3689, 267, 930, 1434, 2833, 543, 2853, 666, 581, 2047, 22666, 543, 4294, 269, 769, 1249, 267, 2094, 519, 6963, 543, 6679, 909, 267, 3624, 814, 4121, 543, 22666, 513, 2603, 540, 1434, 2833, 689, 519, 2136, 2276, 267, 799, 723, 5129, 606, 1271, 1909, 538, 5009, 519, 1646, 540, 2257, 543, 2029, 538, 3624, 267, 971, 607, 519, 10661, 540, 519, 2817, 7849, 3163, 7690, 267, 519, 10661, 540, 519, 9540, 6355, 16743, 8750, 543, 519, 4070, 540, 1804, 3621, 6703, 282, 2034, 569, 267, 538, 519, 3068, 540, 519, 1482, 610, 2147, 2042, 267, 519, 772, 2529, 269, 1995, 666, 581, 1031, 607, 513, 7406, 540, 4704, 547, 948, 721, 1589, 827, 6061, 938, 2042, 269, 1280, 1383, 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 ]
[ 1820, 543, 7658, 332, 4215, 269, 11412, 531, 3590, 15302, 4828, 256, 1452, 16056, 17074, 1131, 581, 13561, 2436, 596, 616, 606, 17076, 610, 513, 25982, 19784, 269, 14755, 267, 519, 2923, 17074, 1256, 8597, 547, 14971, 543, 19023, 12979, 832, 269, 634, 6455, 16056, 17074, 1131, 581, 3730, 585, 24455, 538, 519, 6455, 3924, 267, 7488, 540, 741, 25084, 269, 29243, 1323, 4828, 256, 634, 32358, 1223, 581, 513, 6455, 10324, 267, 513, 6455, 9614, 610, 606, 7127, 7400, 6455, 3318, 269, 1452, 17074, 786, 2709, 596, 15792, 2230, 547, 5031, 875, 707, 6455, 1983, 723, 1044, 2111, 547, 5818, 519, 12434, 610, 707, 3105, 2754, 269, 1703, 568, 513, 2647, 2039, 540, 16056, 17074, 585, 3610, 547, 540, 13777, 1006, 676, 27315, 15728, 3442, 689, 268, 2436, 596, 616, 606, 10026, 1153, 4116, 267, 513, 840, 17469, 4116, 267, 513, 1647, 1153, 4116, 267, 610, 513, 1164, 1153, 4116, 563, 2791, 786, 849, 1265, 4116, 16056, 17074, 585, 1018, 338, 267, 13930, 543, 4828, 17291, 540, 24956, 545, 12990, 3610, 269, 3509, 540, 891, 17074, 616, 2139, 585, 1863, 269, 634, 12103, 4526, 16056, 4557, 332, 680, 919, 2097, 609, 513, 1804, 3099, 547, 3442, 689, 607, 829, 707, 2872, 543, 1995, 269, 4935, 267, 596, 723, 1808, 16056, 17074, 585, 1788, 9946, 267, 6455, 9946, 267, 2930, 9946, 267, 5604, 9946, 543, 865, 593, 269, 14755, 267, 596, 786, 849, 1265, 5094, 9614, 16056, 17074, 585, 9972, 9946, 543, 1447, 4810, 21738, 9946, 269, 1411, 786, 1265, 513, 1390, 2039, 540, 17354, 16056, 17074, 2221, 602, 8597, 547, 606, 1557, 1114, 3029, 540, 6648, 9367, 269, 4935, 267, 596, 723, 1808, 16056, 17074, 585, 1357, 9367, 267, 813, 9367, 610, 3301, 9367, 269, 1323, 4828, 256, 1280, 813, 9367, 543, 3896, 9367, 267, 621, 779, 1655, 547, 1491, 547, 6648, 513, 14769, 16056, 10959, 607, 621, 786, 1450, 596, 547, 13686, 707, 960, 609, 5961, 563, 2252, 596, 616, 513, 17075, 524, 23098, 543, 3168, 547, 1018, 338, 5965, 513, 16056, 585, 707, 1985, 2816, 267, 1287, 621, 1131, 581, 1434, 547, 1904, 585, 513, 17075, 524, 23098, 16056, 10959, 1547, 1452, 16056, 17074, 2097, 909, 609, 15792, 2230, 547, 1533, 707, 1983, 607, 513, 1761, 524, 23098, 607, 1134, 607, 707, 1995, 607, 513, 524, 23098, 538, 1114, 17075, 15731, 269, 634, 10959, 6429, 2228, 568, 14297, 609, 513, 5763, 540, 23031, 16056, 17074, 547, 3442, 689, 267, 1759, 593, 707, 1826, 540, 10344, 269, 1306, 6767, 25587, 256, 1411, 723, 2680, 23031, 16056, 10959, 2073, 16056, 17074, 585, 7320, 21706, 267, 16806, 21706, 543, 865, 593, 269, 1411, 849, 723, 5094, 16056, 17074, 585, 606, 1557, 267, 28479, 3496, 21706, 543, 538, 27440, 21706, 269, 1879, 621, 2501, 547, 27697, 16056, 17074, 267, 596, 723, 513, 1804, 3099, 547, 4584, 689, 1759, 593, 707, 1995, 543, 11412, 531, 4828, 11951, 269, 1411, 786, 1205, 5094, 17074, 585, 4457, 22730, 267, 4095, 22730, 267, 7969, 22730, 543, 1018, 338, 606, 1557, 865, 593, 269, 14755, 267, 596, 849, 723, 521, 748, 27697, 16056, 17074, 607, 1134, 607, 16056, 17074, 585, 9371, 267, 13930, 22730, 267, 10324, 22730, 3092, 269, 1703, 568, 1018, 338, 267, 513, 5458, 2039, 540, 607, 6767, 4387, 16056, 17074, 547, 4584, 689, 267, 1759, 593, 707, 20614, 543, 1995, 538, 1018, 338, 267, 519, 2564, 2872, 269, 1411, 786, 1265, 4387, 16056, 17074, 585, 9647, 25660, 923, 267, 6315, 5505, 267, 14934, 31037, 5505, 267, 32346, 5505, 267, 16895, 543, 865, 593, 269, 1411, 786, 849, 1265, 5094, 17074, 585, 21738, 4387, 16056, 543, 6648, 9972, 4387, 16056, 269, 589, 23906, 615, 16056, 10959, 786, 3622, 1246, 513, 6198, 2497, 267, 1141, 621, 786, 1450, 596, 547, 1445, 593, 1018, 338, 707, 882, 822, 656, 1983, 543, 20340, 585, 602, 1880, 2816, 563, 2026, 596, 1810, 1406, 723, 1454, 3318, 1995, 267, 621, 1131, 3622, 711, 723, 513, 3296, 585, 960, 1995, 269, 1323, 9117, 16056, 10959, 1131, 2097, 909, 609, 5094, 6810, 585, 519, 1114, 2923, 1141, 596, 723, 7604, 1078, 707, 9117, 1983, 268, 971, 607, 14364, 267, 8874, 267, 7641, 267, 543, 5925, 269, 1411, 786, 849, 723, 513, 5094, 3296, 585, 17758, 543, 10781, 538, 891, 17074, 269, 1703, 616, 5094, 16056, 17074, 585, 14987, 538, 540, 13777, 1006, 676, 27315, 15728, 7640, 523, 267, 519, 2361, 269, 1403, 596, 616, 513, 15818, 543, 991, 948, 609, 1603, 707, 16056, 267, 972, 616, 1896, 15818, 16056, 17074, 547, 1904, 585, 269, 1411, 666, 3442, 689, 9746, 267, 3540, 267, 7803, 610, 28697, 15818, 16056, 17074, 2073, 1759, 593, 606, 1557, 707, 1858, 540, 6791, 269, 1703, 616, 5094, 16056, 17074, 585, 21738, 17864, 607, 1134, 269, 1411, 723, 547, 581, 4977, 547, 2079, 676, 27315, 15728, 7640, 523, 519, 1448, 950, 621, 2501, 547, 1603, 513, 16056, 269, 1809, 616, 596, 1932, 11112, 547, 8908, 707, 3003, 16056, 676, 3054, 888, 7775, 798, 596, 991, 948, 543, 5583, 538, 2870, 513, 3044, 16056, 3898, 286, 769, 602, 2013, 267, 596, 723, 513, 1390, 3984, 540, 16056, 32063, 2645, 2139, 2228, 2221, 269, 1452, 616, 5393, 2653, 547, 946, 543, 707, 2596, 7384, 1983, 1131, 581, 2614, 547, 6023, 873, 269, 29243, 1323, 4828, 256, 1452, 2645, 616, 5921, 547, 10891, 543, 6582, 707, 3318, 543, 4081, 1239, 883, 519, 16080, 11107, 513, 3044, 543, 1018, 338, 606, 1557, 3608, 16056, 3898, 269, 4469, 553, 1506, 759, 6979, 543, 28140, 638, 21317, 6501, 1259, 540, 676, 27315, 15728, 7640, 523, 1603, 786, 711, 30321, 596, 519, 5551, 2990, 269, 1323, 4828, 256, 4746, 267, 14845, 3822, 543, 22214, 344, 916, 2285, 606, 6644, 602, 596, 616, 1175, 533, 2632, 4328, 827, 2079, 540, 13777, 1006, 7640, 523, 267, 3054, 269, 9747, 1491, 606, 4274, 779, 948, 269, 968, 1684, 596, 18388, 9232, 568, 606, 1977, 1759, 3028, 8502, 602, 2337, 596, 609, 1164, 2298, 18074, 1820, 759, 6979, 269, 1763, 2541, 12706, 518, 2645, 2228, 616, 1631, 11543, 811, 2666, 609, 519, 2816, 2344, 3478, 8013, 676, 1142, 8429, 1554, 269, 968, 2659, 22008, 12706, 518, 9232, 568, 1776, 1357, 2861, 16056, 649, 11232, 267, 945, 13492, 759, 6979, 593, 3747, 269, 8347, 547, 2057, 4304, 17890, 11673, 630, 6518, 18613, 513, 5020, 15928, 19833, 12287, 9306, 513, 476, 4037, 1606, 331, 728, 1629, 334, 264, 543, 1118, 2386, 707, 1603, 2511, 568, 1018, 338, 267, 16135, 267, 607, 2484, 607, 2009, 563, 2252, 596, 616, 711, 2386, 540, 519, 917, 3620, 3298, 267, 946, 968, 2573, 4545, 341, 9232, 3896, 547, 7369, 519, 2242, 269, 1772, 707, 1763, 2541, 2348, 2614, 2230, 585, 707, 10781, 543, 18517, 286, 1403, 711, 267, 3643, 968, 595, 341, 338, 6457, 9232, 3896, 269, 634, 993, 27809, 4663, 1131, 6157, 4734, 606, 1764, 269, 11412, 531, 3590, 15302, 256, 2353, 922, 2533, 616, 11613, 1863, 543, 596, 666, 10536, 873, 689, 1022, 851, 540, 519, 1158, 269, 3657, 596, 3168, 585, 513, 3896, 602, 13976, 707, 16056, 1510, 27830, 707, 3407, 942, 286, 3973, 968, 918, 1157, 16056, 9232, 568, 606, 1557, 267, 513, 3728, 25325, 543, 3590, 15302, 4828, 4977, 16056, 2679, 3896, 269, 634, 3135, 3533, 3217, 596, 998, 930, 5386, 543, 1434, 1806, 540, 606, 1557, 759, 6979, 563, 1692, 8799, 621, 1131, 581, 952, 596, 723, 519, 4781, 540, 8939, 2789, 12043, 585, 4583, 1423, 572, 267, 707, 16056, 286, 2048, 11724, 269, 1470, 2048, 814, 4547, 602, 9744, 609, 8897, 269, 25873, 998, 1082, 267, 2824, 835, 267, 543, 723, 1187, 269, 901, 16056, 32063, 814, 1945, 547, 30107, 827, 269, 2048, 1763, 636, 1575, 2048, 814, 1044, 9930, 3990, 607, 519, 1655, 14839, 16056, 20536, 585, 519, 1032, 476, 1001, 278, 269, 2422, 713, 547, 1711, 6216, 1007, 759, 6979, 269, 5620, 596, 2479, 10272, 713, 28457, 3585, 2653, 547, 946, 16056, 32063, 7790, 898, 10741, 519, 1018, 338, 9885, 547, 513, 1434, 2816, 269, 22684, 2986, 15875, 1143, 256, 17677, 707, 8458, 540, 3478, 5967, 7125, 1631, 543, 3094, 519, 2816, 596, 17330, 269, 2060, 22008, 631, 6033, 2073, 596, 666, 5352, 267, 12189, 267, 4688, 267, 543, 4647, 707, 16056, 538, 1018, 338, 606, 1557, 267, 2789, 4654, 269, 1411, 666, 1256, 1039, 6810, 607, 829, 827, 15689, 540, 24956, 545, 15557, 267, 707, 6999, 269, 8073, 707, 5551, 16056, 538, 3764, 269, 8080, 547, 519, 3143, 269, 272, 16763, 3135, 267, 2048, 2228, 20956, 11718, 2048, 269, 634, 3896, 609, 513, 6378, 8700, 267, 16881, 1863, 4484, 759, 6979, 540, 782, 5686, 269, 5192, 519, 1018, 338, 606, 1557, 4628, 30149, 22008, 689, 519, 15072, 1369, 3764, 563, 6624, 8959, 547, 827, 17291, 540, 24956, 545, 15557, 1174, 519, 1018, 338, 606, 1557, 3483, 540, 513, 16056, 543, 13686, 741, 7895, 656, 787, 538, 519, 759, 6979, 269, 3143, 4898, 267, 741, 3156, 5734, 519, 4558, 4055, 269, 1548, 952, 513, 10531, 16056, 32063, 609, 1390, 22717, 572, 2501, 547, 4828, 827, 15689, 707, 3028, 693, 513, 8766, 1942, 286, 2048, 14958, 759, 6979, 2048, 3896, 568, 602, 543, 811, 269, 11569, 4100, 2541, 568, 513, 1763, 2541, 32063, 945, 849, 5932, 3382, 5022, 269, 1323, 4828, 256, 3619, 547, 519, 667, 1662, 4580, 543, 6445, 519, 4610, 609, 707, 3877, 607, 829, 519, 6810, 269, 4495, 596, 616, 2944, 609, 267, 4945, 2048, 323, 821, 685, 543, 596, 1131, 581, 2731, 2944, 609, 707, 16056, 563, 2252, 596, 1589, 602, 8600, 606, 519, 16080, 11107, 14288, 1763, 2541, 568, 606, 2653, 2816, 267, 1589, 936, 621, 1586, 269, 661, 637, 6979, 3357, 2059, 519, 2361, 543, 568, 3222, 540, 519, 2127, 799, 616, 811, 2693, 547, 581, 4857, 676, 519, 15313, 619, 269, 3657, 596, 5329, 538, 2247, 519, 1249, 602, 707, 3498, 568, 782, 827, 5275, 513, 2048, 26211, 12732, 3007, 685, 286, 1403, 9811, 1287, 267, 1205, 621, 16013, 4364, 1524, 609, 519, 4966, 607, 829, 519, 2115, 269, 29243, 1323, 4828, 256, 28946, 323, 548, 814, 2919, 513, 1434, 29037, 609, 1082, 15313, 619, 945, 3343, 8321, 1218, 899, 596, 269, 4935, 267, 707, 759, 6979, 616, 1175, 835, 7903, 2476, 538, 1034, 2665, 269, 10439, 29764, 29776, 519, 1184, 540, 32560, 1524, 707, 3406, 543, 7311, 585, 540, 22030, 267, 513, 2816, 269, 3807, 1205, 10805, 543, 1018, 338, 6445, 538, 519, 3877, 269, 1411, 666, 1293, 593, 873, 11489, 596, 1305, 909, 606, 5967, 609, 707, 16108, 543, 3715, 513, 4876, 538, 707, 5551, 2361, 269, 1323, 4810, 16056, 1058, 723, 19804, 696, 8696, 1919, 547, 3382, 563, 26589, 2515, 519, 11412, 531, 3590, 4828, 3318, 26048, 543, 4876, 31026, 527, 267, 519, 16056, 1058, 6813, 519, 2930, 1035, 18210, 543, 519, 1893, 3296, 269, 769, 713, 1702, 267, 595, 820, 637, 2541, 6272, 759, 6979, 585, 1018, 338, 606, 1557, 267, 27723, 4810, 4648, 971, 607, 5741, 2494, 6162, 267, 8605, 2494, 6162, 267, 543, 1256, 585, 11412, 531, 3590, 15302, 267, 21470, 3465, 6342, 540, 3906, 269, 1306, 707, 1763, 2541, 568, 707, 6418, 5639, 799, 786, 798, 519, 2911, 538, 707, 9000, 267, 13167, 621, 609, 25932, 1416, 568, 1018, 338, 606, 1557, 267, 1018, 621, 19262, 269, 634, 10261, 1280, 16844, 12752, 256, 634, 22529, 633, 29764, 6272, 17841, 759, 6979, 602, 9985, 11100, 609, 782, 3457, 269, 2659, 16056, 6763, 607, 2048, 1492, 685, 2601, 1946, 596, 616, 1572, 585, 513, 2816, 269, 9747, 4739, 621, 5402, 269, 1763, 636, 655, 6033, 2306, 2386, 602, 707, 10475, 942, 568, 711, 24906, 538, 606, 1557, 267, 4693, 543, 5470, 1505, 269, 5213, 1406, 9011, 720, 519, 11412, 531, 3590, 1871, 540, 513, 1763, 2541, 563, 12606, 621, 2221, 689, 4648, 269, 5269, 707, 1101, 1448, 540, 3346, 543, 1018, 338, 707, 15266, 267, 16886, 6169, 269, 1306, 6767, 25587, 717, 709, 572, 256, 1744, 686, 637, 2541, 2337, 7494, 538, 782, 707, 16056, 2115, 269, 7248, 656, 31524, 7010, 610, 589, 4811, 568, 835, 540, 519, 1018, 338, 1271, 2645, 1031, 676, 3549, 585, 9584, 759, 6979, 269, 15907, 476, 2004, 260, 540, 4571, 13355, 3549, 267, 607, 1134, 607, 782, 519, 634, 10261, 585, 16844, 538, 519, 12752, 4828, 631, 10998, 338, 2308, 606, 589, 4811, 585, 17655, 519, 18061, 540, 11643, 759, 6979, 269, 4746, 1634, 607, 968, 290, 663, 28371, 5004, 3590, 5608, 589, 4811, 666, 581, 3989, 607, 513, 13561, 3301, 3498, 799, 568, 28110, 547, 948 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 763, 8121, 25321, 306, 4715, 2684, 582, 10309, 19306, 2582, 22726, 547, 7001, 15423, 543, 942, 1239, 689, 3706, 4275, 341, 14489, 267, 7298, 267, 543, 18342, 1769, 538, 1164, 18286, 3381, 563, 29909, 1169, 9196, 3926, 593, 519, 4541, 630, 528, 538, 10739, 267, 585, 602, 2339, 264, 12034, 519, 1158, 538, 3109, 543, 3043, 281, 19670, 22726, 5734, 519, 9300, 267, 22545, 9211, 10690, 267, 543, 5352, 513, 1699, 269, 1403, 519, 19670, 27141, 779, 1648, 568, 9170, 538, 519, 18785, 779, 8417, 2039, 267, 519, 1267, 568, 519, 1482, 281, 519, 18920, 568, 3043, 563, 2414, 1294, 2681, 267, 4337, 619, 630, 10175, 519, 1480, 3750, 264, 11753, 2789, 3109, 7146, 22554, 2592, 1500, 609, 3989, 2694, 540, 519, 8552, 269, 1358, 2901, 8237, 519, 9300, 2361, 267, 1210, 20718, 14249, 540, 8596, 609, 1114, 12086, 547, 8195, 1118, 5094, 2592, 31539, 2699, 267, 3039, 267, 543, 4544, 267, 585, 1383, 29932, 789, 8237, 519, 8552, 547, 1788, 20422, 2582, 2914, 320, 767, 2654, 2592, 593, 513, 2582, 9300, 2361, 563, 763, 26275, 31396, 585, 30677, 547, 14033, 16843, 15190, 5268, 582, 5852, 630, 2752, 25321, 306, 264, 4485, 519, 1966, 689, 513, 1114, 5086, 267, 8195, 13830, 942, 543, 1648, 630, 663, 865, 15423, 264, 1344, 689, 513, 2582, 27141, 563, 30948, 649, 723, 1500, 568, 9247, 513, 28810, 1051, 1537, 3381, 8254, 609, 1100, 17271, 6846, 2437, 3081, 5484, 631, 1794, 514, 267, 513, 6323, 7548, 693, 519, 2160, 540, 4993, 267, 13244, 22526, 269, 631, 1794, 514, 1765, 5976, 772, 5425, 289, 9164, 543, 3523, 2209, 693, 8331, 779, 32591, 11330, 13955, 12524, 267, 10228, 2160, 267, 543, 674, 1069, 559, 629, 28934, 3384, 519, 8121, 25321, 306, 3926, 585, 24666, 8343, 269, 834, 4002, 513, 18920, 12656, 1790, 31242, 4493, 267, 621, 781, 513, 7061, 20014, 689, 19202, 22572, 282, 621, 781, 607, 2462, 513, 20014, 2469, 689, 4670, 547, 15373, 832, 607, 621, 568, 2469, 689, 15373, 832, 547, 891, 21367, 832, 269, 901, 2636, 782, 5686, 540, 2731, 4277, 7405, 1759, 593, 713, 2029, 4799, 763, 2295, 540, 8121, 25321, 306, 568, 513, 476, 2568, 5991, 534, 10309, 6253, 1157, 4494, 540, 24489, 6491, 20183, 630, 307, 328, 301, 264, 5645, 593, 513, 13339, 3490, 269, 13689, 593, 519, 5223, 540, 9436, 547, 24489, 267, 519, 4494, 3587, 21367, 532, 693, 827, 476, 272, 22398, 9109, 269, 630, 2026, 519, 8167, 540, 9436, 11081, 267, 519, 21367, 532, 5912, 2837, 543, 6512, 3766, 777, 19367, 1205, 2539, 282, 18867, 267, 519, 4337, 518, 781, 8417, 547, 19670, 22726, 4679, 269, 2311, 922, 17646, 5006, 267, 519, 6512, 7934, 540, 519, 21367, 532, 23621, 301, 568, 827, 1614, 9753, 540, 9588, 4130, 982, 538, 513, 6093, 19202, 8094, 763, 23621, 301, 4494, 568, 31960, 883, 513, 476, 4510, 1535, 476, 5379, 18920, 5044, 267, 543, 1142, 18920, 4991, 922, 1378, 14350, 22934, 17196, 6949, 1807, 543, 513, 8020, 1503, 839, 269, 634, 26254, 568, 20583, 538, 513, 7828, 31795, 6244, 667, 1168, 541, 20220, 22799, 547, 476, 271, 269, 272, 918, 269, 1879, 513, 27141, 16716, 519, 9300, 2627, 267, 568, 15920, 513, 678, 21451, 998, 519, 21367, 528, 267, 8840, 909, 519, 19610, 9211, 9789, 23101, 8424, 20196, 4163, 21367, 532, 14768, 269, 634, 811, 17615, 519, 27141, 267, 519, 811, 23101, 8424, 616, 5258, 269, 2598, 4533, 532, 891, 8424, 32290, 519, 25317, 540, 519, 18920, 269, 901, 5122, 1689, 267, 538, 2490, 267, 10593, 519, 17931, 543, 5123, 540, 519, 18920, 779, 16982, 538, 8167, 547, 519, 1297, 540, 23101, 1790, 1515, 21463, 563, 763, 3173, 946, 513, 17196, 4908, 2036, 547, 23827, 622, 543, 1224, 856, 782, 476, 1708, 275, 19641, 936, 513, 2582, 17196, 8756, 269, 3962, 18920, 666, 581, 1224, 827, 476, 7742, 271, 2053, 829, 2034, 267, 8308, 7487, 4778, 602, 2039, 689, 519, 22292, 630, 1911, 16354, 264, 998, 519, 7298, 8552, 543, 883, 519, 18342, 630, 14075, 518, 982, 476, 4335, 271, 16354, 1040, 595, 7374, 8596, 267, 676, 4334, 267, 3335, 3713, 1769, 689, 476, 4968, 547, 476, 1911, 271, 16354, 11652, 1152, 538, 513, 3109, 543, 3043, 269, 0, 24171, 968, 1805, 821, 13665, 892, 12722, 267, 676, 15623, 17659, 344, 524, 269, 476, 6977, 272, 269, 2817, 19964, 269, 898, 949, 581, 606, 896, 8063, 618, 547, 2303, 602, 519, 2112, 729, 711, 1434, 547, 12942, 13665, 267, 1934, 646, 568, 538, 476, 5908, 274, 269, 1261, 729, 6180, 958, 20754, 693, 519, 11135, 540, 26554, 961, 832, 6807, 2663, 602, 1032, 563, 307, 4861, 7723, 585, 7338, 834, 1805, 821, 13665, 257, 12722, 781, 2451, 6186, 269, 1261, 729, 8929, 676, 7874, 3595, 543, 1010, 6186, 729, 993, 1584, 730, 543, 12617, 538, 519, 25071, 269, 1261, 15068, 855, 5747, 476, 279, 2395, 2663, 540, 16415, 543, 568, 12617, 693, 22858, 15838, 267, 22622, 454, 25405, 1408, 4425, 821, 630, 15876, 275, 268, 9264, 271, 264, 729, 606, 1977, 22082, 267, 24413, 267, 543, 4395, 4536, 2006, 4171, 20281, 7518, 1080, 1500, 1864, 835, 540, 519, 1101, 12563, 12325, 540, 519, 2136, 2276, 269, 4425, 821, 568, 1034, 4583, 585, 1010, 3408, 543, 11175, 540, 1018, 568, 1631, 17996, 267, 799, 729, 1287, 851, 540, 9098, 855, 593, 519, 824, 2427, 540, 519, 10239, 689, 519, 12306, 2127, 563, 25629, 541, 16907, 529, 8633, 910, 7201, 3751, 16907, 529, 8633, 267, 31697, 729, 519, 1152, 4182, 538, 2342, 547, 4688, 922, 3003, 6014, 2551, 1282, 519, 14195, 269, 16907, 529, 729, 835, 540, 519, 1906, 1158, 3401, 945, 1219, 1221, 13609, 3068, 547, 3068, 1282, 519, 2112, 267, 32222, 2789, 2053, 547, 5838, 1010, 6014, 4961, 3564, 519, 10665, 540, 1010, 10806, 563, 18183, 539, 4733, 4937, 6276, 7043, 560, 22901, 269, 10557, 781, 1318, 1688, 812, 267, 2523, 1310, 519, 2530, 540, 834, 1805, 821, 13665, 257, 12722, 269, 10557, 1572, 1864, 1250, 834, 24874, 2782, 21696, 257, 855, 7043, 560, 22901, 9244, 9969, 7517, 609, 10557, 827, 17292, 9116, 781, 5279, 693, 5192, 339, 903, 7921, 543, 1310, 519, 2112, 22309, 10557, 585, 519, 3375, 269, 7043, 560, 22901, 729, 2760, 8483, 1508, 538, 519, 3162, 585, 10404, 1944, 7917, 661, 269, 10557, 563, 257, 10521, 2136, 2276, 8136, 11923, 4163, 5230, 8396, 24502, 593, 513, 5216, 28902, 30382, 998, 519, 26570, 607, 851, 540, 741, 2866, 1354, 2921, 909, 4395, 11060, 2112, 10467, 269, 6969, 8989, 585, 10279, 519, 1977, 11923, 1451, 875, 547, 8396, 26570, 10898, 543, 875, 547, 1416, 1312, 585, 2933, 543, 741, 2550, 896, 782, 2175, 1701, 2622, 2782, 4083, 454, 5278, 2161, 267, 835, 540, 519, 1655, 1252, 1023, 540, 782, 942, 267, 4937, 7338, 22189, 834, 1805, 821, 13665, 257, 12722, 269, 12722, 3788, 513, 5869, 538, 519, 3162, 547, 713, 1554, 269, 1261, 568, 15422, 585, 4543, 547, 2490, 519, 20352, 693, 18409, 14840, 267, 543, 11488, 519, 5742, 8136, 883, 513, 11784, 18956, 1394, 547, 6115, 9823, 563, 289, 16336, 13153, 6762, 628, 1993, 523, 8929, 1524, 936, 476, 3199, 20466, 14742, 1354, 1373, 8929, 1524, 936, 20466, 8513, 676, 513, 8225, 12681, 269, 1261, 729, 12617, 676, 1010, 14763, 609, 2407, 4108, 26549, 269, 634, 30407, 646, 568, 9849, 568, 519, 9791, 7665, 267, 5125, 781, 5207, 4108, 8956, 269, 0, 308, 2529, 11607, 31142, 1977, 1894, 454, 23192, 3370, 476, 6734, 270, 2918, 270, 1001, 274, 454, 295, 1872, 334, 932, 1511, 345, 1282, 513, 1533, 3643, 547, 30188, 269, 15894, 281, 3397, 17845, 333, 25556, 5696, 553, 559, 12171, 1168, 1131, 16311, 602, 18018, 334, 932, 5451, 557, 345, 1185, 513, 4050, 31008, 585, 535, 30711, 20116, 269, 10815, 6956, 568, 519, 1909, 602, 20116, 5129, 538, 7432, 5824, 3013, 689, 513, 3148, 1141, 519, 2136, 2276, 4371, 26080, 32022, 950, 646, 1101, 3576, 5604, 538, 476, 1960, 280, 267, 547, 835, 1141, 2451, 626, 6608, 540, 9867, 26145, 1631, 7682, 13778, 13190, 1471, 268, 14504, 23724, 741, 7023, 547, 519, 5087, 563, 268, 10965, 8554, 3181, 16218, 8474, 5769, 1509, 324, 454, 268, 4860, 2086, 539, 4457, 3778, 4750, 21969, 3699, 10434, 6441, 710, 19536, 454, 268, 15724, 281, 476, 274, 4934, 540, 476, 276, 6809, 534, 11686, 4675, 13024, 21763, 1530, 20896, 952, 10830, 776, 22735, 1772, 5082, 539, 454, 268, 634, 5369, 12278, 7726, 281, 1772, 898, 12876, 547, 21302, 18496, 11686, 3245, 2279, 541, 888, 268, 19724, 885, 1869, 1745, 26290, 2940, 267, 14822, 779, 3140, 3095, 547, 519, 27173, 918, 12999, 918, 17427, 454, 268, 21321, 560, 715, 565, 974, 267, 16024, 1014, 1733, 846, 14358, 593, 13609, 6970, 4310, 606, 772, 2889, 541, 267, 667, 625, 693, 476, 11152, 454, 268, 3567, 1058, 2285, 6101, 3284, 1108, 585, 29053, 14699, 267, 3081, 14787, 454, 268, 24910, 22823, 3081, 3013, 2115, 547, 3142, 1394, 2797, 6191, 454, 268, 3213, 767, 331, 2725, 903, 330, 839, 3096, 1010, 5816, 547, 1397, 1018, 1272, 729, 899, 896, 31474, 269, 630, 11328, 1613, 264, 0, 303, 568, 585, 454, 2421, 6307, 17555, 700, 1495, 324, 6199, 454, 10666, 519, 3883, 454, 1607, 9904, 4484, 1433, 3096, 10875, 10344, 543, 1769, 27329, 1257, 547, 9029, 547, 1312, 1453, 543, 4079, 269, 13812, 267, 5251, 543, 17855, 11147, 689, 19778, 267, 12548, 267, 8419, 267, 16506, 543, 16855, 9414, 713, 23406, 1433, 267, 2966, 547, 8661, 1272, 267, 7772, 543, 519, 5898, 540, 938, 1158, 269, 8479, 1453, 786, 2744, 606, 7071, 585, 2470, 607, 789, 1451, 741, 9904, 5022, 563, 2026, 513, 7320, 23031, 543, 5856, 267, 594, 1921, 1004, 609, 2470, 998, 6337, 543, 2984, 269, 3733, 3804, 607, 513, 23031, 568, 547, 1711, 7071, 585, 519, 5898, 543, 6526, 1006, 540, 713, 4541, 267, 2523, 1216, 8134, 267, 971, 607, 519, 8933, 538, 16855, 267, 519, 12647, 538, 16506, 267, 519, 1609, 340, 2456, 538, 8419, 543, 519, 7106, 8960, 22260, 538, 19778, 269, 3733, 11147, 723, 1044, 17820, 538, 29632, 1221, 1148, 26847, 538, 16855, 267, 16506, 543, 8419, 267, 543, 3370, 538, 2835, 267, 30300, 1513, 267, 543, 14786, 269, 634, 1453, 779, 2835, 594, 1711, 616, 2966, 547, 3986, 1719, 538, 519, 2067, 1158, 543, 5726, 269, 1306, 513, 5449, 918, 268, 1321, 2542, 4116, 267, 7548, 543, 1071, 6122, 14575, 540, 519, 17402, 19793, 22777, 3194, 4741, 693, 12309, 3557, 2160, 267, 594, 1174, 519, 4276, 1063, 2257, 543, 7924, 269, 594, 723, 3370, 936, 476, 3199, 4930, 267, 1614, 2835, 543, 3875, 11147, 543, 4465, 17758, 689, 1533, 267, 3084, 543, 3486, 12205, 269, 6423, 8835, 585, 824, 1453, 781, 2835, 267, 971, 607, 13336, 540, 519, 4210, 534, 269, 0, 257, 292, 1722, 335, 4215, 568, 513, 1007, 661, 1722, 323, 823, 1587, 602, 6663, 693, 9306, 519, 1034, 3102, 543, 4977, 4605, 540, 2069, 1949, 543, 15024, 538, 2342, 269, 634, 3135, 6227, 476, 4343, 3864, 2069, 1949, 1369, 519, 476, 3451, 2477, 10283, 538, 519, 9167, 781, 17151, 13717, 4804, 19510, 630, 718, 476, 2767, 9167, 16588, 2276, 607, 1134, 607, 23886, 807, 267, 19360, 267, 17389, 577, 1084, 7322, 267, 16157, 267, 16848, 543, 11894, 1040, 1635, 7446, 513, 2197, 689, 519, 7317, 4786, 267, 596, 786, 2744, 1569, 547, 1808, 3084, 2069, 1062, 1344, 267, 2901, 538, 2296, 610, 538, 519, 1893, 540, 519, 2197, 269, 634, 1344, 568, 3177, 676, 519, 10371, 4799, 257, 19445, 1565, 543, 2487, 3466, 538, 7046, 12409, 8249, 630, 302, 2207, 264, 616, 7175, 4909, 2242, 538, 519, 2069, 1158, 267, 9750, 519, 3872, 2709, 3564, 922, 2757, 12043, 543, 10665, 269, 1715, 2081, 540, 1565, 267, 27537, 676, 2123, 5314, 267, 6278, 267, 946, 540, 3059, 2923, 267, 5698, 267, 5377, 5346, 2853, 543, 1141, 519, 15226, 610, 4116, 568, 513, 17082, 540, 1565, 1543, 616, 6932, 267, 19658, 676, 519, 12825, 2208, 538, 744, 2207, 2139, 3842, 519, 4950, 269, 2342, 1058, 17908, 519, 1761, 540, 744, 2207, 1454, 811, 982, 568, 4867, 519, 2013, 269, 901, 3340, 1434, 2780, 1983, 267, 855, 930, 16588, 2276, 616, 1869, 18848, 3101, 3297, 607, 2938, 538, 519, 4065, 543, 9751, 18554, 476, 1001, 273, 267, 609, 476, 280, 16588, 2276, 609, 936, 476, 2004, 260, 540, 476, 1626, 268, 10619, 1032, 31545, 609, 1100, 610, 1970, 2780, 1983, 269, 2755, 519, 946, 540, 23559, 538, 2069, 543, 2866, 814, 1044, 1164, 593, 519, 3609, 16786, 267, 2565, 2609, 616, 711, 538, 1747, 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 ]
[ 4277, 3020, 4062, 540, 31851, 593, 519, 9894, 1411, 5700, 8274, 269, 4746, 12857, 513, 15932, 5517, 540, 519, 4303, 813, 547, 1118, 621, 4443, 547, 1265, 1344, 585, 519, 4604, 563, 1805, 919, 1299, 7167, 8558, 270, 15430, 6342, 3883, 5658, 907, 5970, 1053, 1118, 713, 543, 1287, 1382, 513, 1888, 907, 6011, 1082, 1644, 29845, 18272, 3990, 29845, 556, 3887, 21124, 29845, 1100, 642, 335, 29845, 3092, 269, 7736, 1652, 2081, 547, 3444, 519, 6437, 609, 1686, 543, 661, 6369, 2336, 10817, 612, 5808, 286, 21998, 616, 513, 2241, 942, 1922, 14525, 2534, 585, 1346, 2053, 602, 596, 991, 547, 6445, 827, 476, 276, 3764, 1354, 12424, 610, 12899, 267, 610, 519, 1439, 540, 519, 1554, 269, 901, 2534, 849, 18791, 2631, 540, 10362, 543, 2146, 538, 519, 4928, 269, 6423, 713, 5816, 2022, 585, 513, 5618, 7778, 540, 875, 596, 666, 1205, 3323, 538, 707, 4928, 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 ]
[ 540, 2127, 267, 1519, 7694, 543, 2069, 1224, 593, 547, 1451, 811, 269, 1548, 568, 519, 2495, 540, 4008, 7130, 4008, 7130, 1797, 7130, 1759, 593, 513, 1268, 779, 4008, 610, 3023, 267, 799, 811, 1419, 5540, 6690, 543, 2021, 269, 14171, 2962, 593, 3023, 7130, 267, 7713, 950, 621, 568, 796, 32016, 610, 711, 796, 32016, 267, 2318, 7130, 543, 14540, 799, 666, 2285, 2417, 948, 269, 13834, 7130, 543, 1514, 3961, 281, 8097, 2963, 689, 4008, 7130, 543, 1514, 3961, 281, 8097, 4008, 7130, 543, 563, 29638, 7130, 543, 4008, 8635, 568, 1869, 2469, 593, 538, 2474, 540, 2069, 267, 1072, 267, 7694, 267, 1514, 4008, 8635, 543, 2021, 7130, 269, 13834, 8635, 538, 15242, 4016, 547, 1072, 513, 476, 1220, 276, 796, 1353, 1336, 602, 1514, 8155, 2861, 4008, 7130, 5012, 547, 4008, 8635, 538, 15242, 563, 29189, 7130, 519, 7862, 957, 476, 1001, 271, 2306, 621, 796, 32016, 585, 606, 16108, 547, 5806, 3729, 1996, 5520, 1317, 540, 741, 3023, 3023, 7130, 1996, 2367, 568, 269, 10395, 908, 7130, 1996, 2021, 4008, 7862, 568, 1898, 585, 519, 9740, 540, 1480, 2924, 585, 782, 2943, 25641, 4031, 1996, 2021, 6414, 538, 563, 288, 20624, 814, 1500, 1434, 3356, 2509, 8236, 4008, 7862, 538, 2487, 2053, 2705, 267, 2021, 1869, 1995, 8635, 543, 7130, 538, 1082, 1271, 563, 6097, 547, 512, 985, 1382, 12220, 267, 476, 6924, 2600, 540, 2021, 23500, 3494, 4008, 7130, 6818, 538, 519, 9036, 5313, 1876, 14014, 2021, 543, 824, 18441, 269, 11557, 7130, 267, 593, 519, 824, 1688, 267, 949, 723, 3656, 4539, 1498, 1018, 13054, 3023, 7130, 9775, 1063, 2477, 269, 2859, 982, 513, 10116, 540, 2021, 723, 4810, 930, 1106, 540, 4008, 7130, 538, 519, 9036, 267, 513, 1007, 1353, 2982, 856, 540, 476, 272, 267, 4335, 5604, 4600, 538, 519, 20410, 267, 476, 2918, 829, 269, 13834, 7130, 3486, 4441, 1299, 2606, 1570, 593, 4008, 7130, 281, 4945, 1934, 4930, 1299, 5359, 689, 513, 2039, 540, 2959, 616, 2630, 563, 5472, 1472, 519, 1158, 267, 25469, 616, 1373, 5806, 3990, 676, 519, 6587, 4008, 519, 2243, 568, 875, 269, 3194, 593, 4008, 8635, 814, 1064, 1243, 519, 2956, 540, 4008, 7130, 585, 2021, 779, 2833, 693, 960, 3105, 2090, 723, 6700, 602, 4008, 269, 26521, 1996, 6690, 543, 2021, 538, 519, 3384, 1158, 568, 513, 14042, 4641, 2090, 1397, 972, 568, 513, 1463, 3095, 1063, 513, 2197, 781, 10182, 4724, 2021, 269, 11557, 7130, 568, 950, 513, 1268, 568, 5701, 1447, 7957, 2227, 29087, 982, 513, 1268, 540, 519, 6587, 3023, 1131, 581, 5701, 538, 519, 1482, 610, 2147, 6381, 269, 0, 12709, 9732, 7510, 326, 7356, 542, 1198, 21810, 3401, 24636, 536, 1716, 731, 695, 1177, 267, 899, 7548, 2031, 326, 1231, 538, 7510, 326, 7356, 542, 16662, 1549, 958, 1521, 741, 1004, 538, 513, 269, 1703, 616, 1079, 2009, 16627, 540, 2031, 326, 1231, 262, 6138, 540, 713, 1404, 568, 1572, 7510, 326, 7356, 542, 676, 24636, 536, 1716, 731, 695, 1177, 540, 2011, 543, 14334, 7302, 541, 1461, 2079, 269, 16520, 2079, 540, 7510, 326, 7356, 542, 676, 1397, 7510, 326, 7356, 542, 15832, 24636, 536, 1716, 731, 695, 1177, 729, 4535, 513, 1732, 1268, 982, 2031, 326, 1231, 695, 1177, 2306, 1010, 5304, 269, 6723, 536, 1716, 731, 695, 1177, 779, 7510, 326, 7356, 542, 281, 5758, 1299, 2079, 1915, 2079, 540, 7548, 2031, 326, 1231, 630, 6853, 326, 7356, 542, 264, 24636, 2079, 24636, 536, 1716, 731, 695, 1177, 563, 2691, 24636, 536, 1716, 731, 695, 1177, 5206, 7510, 326, 7356, 542, 811, 982, 513, 3368, 723, 1336, 10083, 538, 695, 1177, 781, 1650, 540, 4633, 13309, 29165, 2031, 326, 1231, 267, 543, 14428, 3342, 4451, 269, 634, 1404, 18997, 678, 7534, 14405, 593, 530, 11035, 678, 639, 8688, 4440, 519, 1034, 5432, 547, 7005, 10529, 568, 7510, 326, 7356, 542, 676, 24636, 536, 1716, 731, 695, 1177, 267, 7548, 2031, 326, 1231, 269, 1879, 24636, 536, 1716, 731, 695, 1177, 5206, 7510, 326, 7356, 542, 811, 713, 7160, 540, 7510, 326, 7356, 542, 2882, 519, 2079, 540, 2144, 545, 812, 543, 2706, 2006, 281, 513, 18792, 543, 513, 6138, 269, 4432, 21289, 798, 7035, 1479, 568, 513, 14070, 1915, 689, 561, 5064, 945, 5526, 538, 519, 1404, 7510, 326, 7356, 542, 630, 613, 5282, 536, 1716, 731, 695, 1177, 267, 2031, 326, 1231, 4422, 2059, 609, 621, 585, 519, 5301, 540, 513, 563, 13695, 326, 7356, 542, 676, 24636, 536, 1716, 731, 695, 1177, 1753, 1315, 3332, 1315, 7510, 326, 7356, 542, 1315, 1915, 2079, 646, 781, 2186, 540, 899, 29165, 2031, 326, 1231, 15545, 769, 24636, 536, 1716, 731, 695, 1177, 781, 7510, 326, 7356, 542, 267, 519, 695, 4319, 543, 29165, 2031, 326, 1231, 538, 7510, 326, 7356, 542, 616, 7510, 326, 7356, 542, 1395, 860, 826, 7510, 326, 7356, 542, 24636, 536, 1716, 731, 695, 1177, 269, 12339, 24452, 538, 7510, 326, 7356, 542, 24636, 536, 1716, 731, 695, 1177, 587, 509, 338, 519, 1909, 540, 32275, 2031, 326, 1231, 568, 602, 540, 7510, 326, 7356, 542, 267, 2949, 9382, 1915, 2079, 695, 1177, 814, 1419, 269, 1879, 24636, 536, 1716, 731, 695, 1177, 5206, 7510, 326, 7356, 542, 811, 982, 513, 695, 1177, 781, 1650, 540, 4633, 13309, 29165, 2031, 326, 1231, 267, 540, 7510, 326, 7356, 542, 2882, 519, 2079, 540, 2144, 545, 18761, 2917, 269, 12877, 326, 7356, 542, 814, 476, 10602, 267, 280, 6078, 16863, 543, 476, 272, 267, 278, 3607, 8039, 1490, 2088, 1767, 281, 1065, 24031, 538, 8956, 540, 24636, 536, 1716, 731, 695, 1177, 781, 14512, 267, 5104, 569, 476, 2918, 1775, 993, 1603, 713, 2689, 547, 269, 23322, 2079, 540, 2031, 326, 1231, 538, 7510, 326, 7356, 542, 476, 26604, 1913, 476, 272, 2985, 606, 2079, 540, 7548, 2031, 326, 1231, 781, 6138, 538, 519, 1404, 7510, 326, 7356, 542, 676, 24636, 536, 1716, 731, 695, 1177, 269, 6723, 536, 1716, 731, 695, 1177, 729, 519, 3791, 543, 24636, 536, 1716, 731, 8057, 909, 538, 606, 695, 1177, 1163, 15903, 1010, 6138, 602, 8103, 568, 519, 5767, 3942, 538, 513, 269, 6723, 536, 1716, 731, 695, 1177, 1714, 21289, 547, 979, 1394, 547, 2031, 326, 1231, 695, 1177, 4941, 547, 1397, 1200, 540, 1010, 1404, 7510, 326, 7356, 542, 568, 9976, 267, 24636, 536, 1716, 731, 695, 1177, 568, 849, 15422, 269, 4855, 519, 10530, 596, 991, 538, 24636, 536, 1716, 731, 695, 1177, 781, 7510, 326, 7356, 542, 267, 7510, 326, 7356, 542, 10530, 689, 1396, 577, 11301, 1923, 519, 15888, 540, 269, 10886, 2079, 540, 2031, 326, 1231, 538, 7510, 326, 7356, 542, 713, 568, 519, 4704, 2985, 585, 4081, 8100, 585, 30373, 5829, 3584, 7510, 326, 7356, 542, 568, 513, 1404, 676, 24636, 536, 1716, 731, 563, 1432, 798, 649, 1451, 540, 695, 1177, 781, 10182, 4724, 1362, 689, 519, 1404, 7510, 326, 7356, 542, 24636, 536, 1716, 731, 695, 1177, 729, 519, 4729, 5205, 519, 8942, 540, 7548, 29165, 2031, 326, 1231, 547, 269, 6723, 536, 1716, 731, 695, 1177, 5206, 936, 17288, 4249, 1282, 519, 1576, 1279, 1272, 540, 476, 11463, 1296, 7510, 326, 7356, 542, 267, 2854, 538, 476, 4489, 274, 267, 2968, 1010, 1034, 4583, 960, 1224, 695, 1177, 781, 269, 1323, 2079, 540, 7548, 2031, 326, 1231, 781, 6138, 538, 519, 1404, 7510, 326, 7356, 542, 676, 24636, 536, 1716, 731, 695, 1177, 563, 10403, 1514, 24337, 538, 7510, 326, 7356, 542, 4633, 998, 938, 1360, 1378, 7510, 326, 7356, 542, 32275, 2031, 326, 1231, 267, 2079, 540, 24636, 536, 1716, 731, 695, 1177, 21485, 338, 7510, 326, 7356, 542, 910, 2854, 4305, 269, 589, 5758, 540, 2079, 538, 24636, 536, 1716, 731, 695, 1177, 781, 7510, 326, 7356, 542, 1451, 4010, 1018, 5949, 538, 713, 3184, 267, 6429, 267, 610, 3296, 540, 7510, 326, 7356, 542, 543, 1018, 621, 563, 8340, 5363, 6075, 8039, 543, 2689, 16863, 585, 7510, 326, 7356, 542, 676, 695, 1177, 267, 24636, 536, 1716, 731, 267, 593, 6138, 262, 9135, 267, 1775, 2557, 1412, 6853, 326, 7356, 542, 262, 607, 610, 538, 3178, 2079, 585, 269, 12877, 326, 7356, 542, 630, 523, 878, 1117, 27825, 264, 950, 24636, 536, 1716, 731, 695, 1177, 5206, 7510, 326, 7356, 542, 811, 982, 513, 3368, 713, 7160, 540, 7510, 326, 7356, 542, 2882, 519, 2079, 540, 2144, 545, 18761, 2917, 689, 269, 4855, 713, 8930, 543, 811, 593, 7510, 326, 7356, 542, 281, 513, 15832, 538, 2947, 6411, 8059, 626, 29165, 2031, 326, 1231, 11414, 513, 1455, 7510, 326, 7356, 542, 24636, 536, 1716, 731, 695, 1177, 3594, 269, 0, 21980, 3894, 585, 8600, 543, 11249, 713, 568, 513, 3391, 547, 946, 950, 596, 616, 1603, 513, 1382, 1957, 610, 1557, 630, 2457, 476, 274, 264, 536, 2140, 281, 519, 2140, 540, 519, 1957, 269, 7151, 540, 2140, 2985, 1382, 11556, 585, 12031, 519, 27226, 9422, 3510, 540, 13278, 344, 2950, 538, 21514, 529, 10005, 9381, 2950, 269, 772, 14369, 321, 26818, 333, 1515, 5640, 476, 1001, 272, 4832, 1982, 581, 519, 1482, 2140, 596, 1031, 585, 707, 7493, 19169, 1592, 602, 568, 538, 707, 1382, 1957, 269, 1215, 547, 2328, 513, 15853, 585, 513, 1382, 1957, 713, 786, 948, 707, 1053, 1174, 875, 547, 5265, 13712, 1114, 2200, 538, 741, 1382, 4574, 563, 763, 3483, 540, 713, 3391, 568, 547, 1683, 5796, 593, 875, 547, 1020, 543, 10891, 513, 1382, 1957, 538, 519, 1514, 9443, 7446, 513, 2140, 269, 12726, 5098, 3817, 630, 516, 14876, 23891, 4231, 476, 1001, 276, 264, 1297, 540, 22782, 2838, 585, 25719, 1053, 815, 8689, 540, 1382, 630, 611, 6665, 518, 264, 3732, 2140, 2985, 630, 4777, 28118, 269, 1215, 547, 2328, 513, 1382, 19175, 639, 2140, 2985, 2882, 2140, 540, 1957, 267, 2012, 540, 2278, 267, 12250, 30901, 267, 4881, 2212, 267, 543, 2985, 1297, 269, 1548, 798, 596, 31194, 538, 10643, 1644, 1433, 7005, 8239, 585, 546, 27186, 267, 875, 798, 596, 6430, 1018, 547, 31194, 538, 519, 2140, 540, 707, 1433, 610, 1382, 1957, 563, 17138, 540, 1957, 4422, 1934, 543, 1775, 786, 849, 1039, 1934, 519, 11991, 1913, 16643, 3898, 15795, 10479, 547, 946, 713, 3561, 585, 1565, 543, 1382, 5301, 269, 1452, 3732, 3817, 538, 15986, 3898, 786, 946, 713, 3898, 952, 707, 1957, 814, 513, 2140, 2985, 707, 1101, 2985, 786, 713, 568, 519, 1592, 540, 2959, 596, 1031, 538, 707, 1382, 269, 13832, 585, 1603, 707, 1382, 1957, 707, 16643, 1957, 1058, 1331, 2947, 2101, 6810, 281, 519, 2140, 2985, 267, 7493, 267, 1292, 1957, 267, 1957, 3898, 543, 8100, 543, 14327, 269, 9669, 585, 1603, 513, 1382, 1957, 538, 16643, 3898, 281, 9238, 281, 513, 1382, 1957, 543, 2985, 1297, 267, 2140, 267, 2278, 2012, 4433, 1070, 269, 1627, 875, 798, 1775, 3898, 519, 2212, 619, 267, 2140, 267, 543, 2985, 2338, 585, 1250, 1382, 1957, 538, 16643, 2511, 1210, 2890, 7809, 2262, 7868, 2140, 2985, 540, 513, 512, 12350, 1014, 1957, 1058, 711, 2270, 513, 2985, 1297, 11419, 2140, 2985, 12043, 2219, 1723, 267, 2261, 476, 274, 267, 476, 1001, 278, 267, 1018, 568, 513, 1382, 1957, 269, 3371, 568, 519, 2489, 15986, 3898, 3382, 2985, 281, 835, 21017, 540, 519, 2985, 543, 1826, 707, 1382, 1957, 2140, 267, 519, 1382, 1957, 15986, 3898, 3382, 2985, 15986, 3898, 269, 8525, 1297, 519, 2140, 540, 519, 1957, 267, 707, 2012, 267, 1505, 267, 2164, 267, 3932, 267, 543, 267, 952, 2877, 267, 2104, 1382, 538, 519, 1957, 538, 17856, 11239, 11249, 269, 898, 849, 3568, 2489, 4808, 543, 2417, 11673, 585, 519, 2694, 540, 513, 1382, 11556, 1711, 707, 2140, 2985, 538, 513, 2262, 3561, 267, 4688, 543, 2012, 621, 269, 13028, 519, 2609, 1336, 538, 513, 6093, 1382, 1957, 1382, 5399, 519, 2140, 2985, 814, 1100, 2985, 1297, 543, 621, 568, 711, 18886, 538, 1022, 2985, 1297, 532, 269, 1215, 547, 2328, 513, 1382, 11556, 630, 663, 596, 666, 946, 2694, 540, 621, 538, 707, 3803, 1957, 264, 17854, 707, 1382, 1683, 2140, 1948, 272, 910, 2699, 688, 1600, 12372, 543, 741, 269, 1215, 547, 2328, 513, 2140, 2985, 538, 6530, 2978, 5359, 543, 1382, 1058, 581, 2111, 547, 3533, 1224, 707, 2140, 543, 917, 4010, 1018, 707, 1957, 568, 269, 7442, 320, 1382, 1957, 10959, 5528, 2985, 476, 272, 1826, 2140, 540, 1557, 267, 543, 519, 2985, 1297, 4422, 693, 519, 1439, 269, 7442, 320, 2511, 1107, 1382, 1957, 3898, 968, 337, 7342, 2212 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1223, 2965, 581, 519, 2601, 3297, 741, 29083, 2589, 2223, 1352, 1767, 563, 289, 2281, 3489, 948, 689, 570, 2281, 538, 519, 17193, 3210, 676, 9117, 607, 18970, 10391, 18970, 9306, 2281, 269, 589, 1463, 5365, 998, 11006, 540, 18970, 547, 9245, 16384, 666, 3986, 645, 1591, 18970, 6881, 543, 570, 17466, 645, 1591, 11852, 267, 855, 568, 711, 2838, 585, 513, 11327, 5872, 1063, 513, 1507, 16889, 645, 1591, 543, 513, 21630, 25961, 570, 1591, 563, 2304, 1884, 514, 13086, 17193, 630, 288, 2793, 264, 1449, 568, 513, 6213, 9584, 1907, 1031, 547, 3713, 16991, 3676, 267, 1519, 20461, 269, 4165, 514, 13086, 12489, 630, 3198, 2026, 264, 616, 12489, 602, 616, 9859, 1996, 1978, 3889, 1369, 513, 1591, 781, 13540, 630, 28387, 267, 1884, 514, 13086, 17193, 1040, 4888, 2026, 616, 1336, 538, 1880, 3270, 538, 1004, 609, 16991, 3676, 630, 29006, 538, 799, 513, 1268, 781, 4761, 1062, 1568, 1996, 1010, 610, 1200, 1378, 1560, 1916, 2005, 849, 15565, 32326, 16384, 609, 270, 23719, 717, 12336, 610, 21512, 311, 7132, 717, 12336, 585, 2550, 945, 616, 18195, 800, 547, 1164, 1673, 846, 717, 12336, 267, 1346, 609, 1272, 18446, 11702, 267, 1346, 8506, 14849, 6391, 543, 1346, 609, 5563, 630, 17641, 16252, 1759, 593, 9793, 22979, 540, 519, 2963, 1040, 8779, 543, 8244, 267, 2705, 267, 949, 5401, 519, 946, 540, 4959, 3079, 540, 21512, 311, 4352, 972, 616, 1100, 1239, 547, 1489, 713, 25195, 630, 14456, 476, 275, 1916, 24791, 14342, 543, 9360, 616, 711, 606, 4244, 547, 4189, 1072, 1176, 269, 898, 568, 2141, 8797, 547, 2911, 609, 707, 13382, 610, 22639, 827, 1018, 9360, 596, 6999, 547, 1491, 607, 789, 666, 723, 513, 3978, 1198, 593, 930, 6527, 596, 949, 581, 593, 267, 971, 607, 2112, 325, 18288, 269, 1358, 949, 849, 2303, 602, 596, 7110, 707, 2732, 952, 789, 1265, 602, 972, 568, 513, 10638, 269, 1403, 596, 3548, 513, 1434, 3666, 267, 3226, 540, 4829, 543, 5388, 267, 713, 1058, 2285, 596, 6190, 8324, 269, 898, 568, 5266, 2653, 547, 30072, 593, 519, 3170, 30320, 8324, 543, 713, 666, 581, 5906, 547, 707, 1072, 630, 31860, 6171, 589, 264, 607, 1134, 607, 27830, 707, 2724, 563, 22033, 593, 713, 3896, 568, 3177, 585, 21141, 5301, 1152, 543, 568, 711, 5497, 607, 513, 12990, 585, 519, 5796, 3177, 676, 707, 10629, 610, 824, 3782, 3318, 269, 1411, 1058, 711, 946, 519, 1344, 593, 713, 3896, 585, 23235, 610, 8156, 513, 1072, 1966, 610, 2068, 267, 610, 1095, 21564, 1022, 6646, 610, 824, 2126, 269, 7102, 3791, 5428, 5356, 610, 10229, 593, 713, 3896, 1281, 711, 13822, 606, 23596, 618, 676, 12448, 1284, 559, 267, 631, 6185, 269, 610, 13245, 27999, 4858, 2738, 563, 306, 4041, 568, 9833, 607, 513, 18634, 2068, 1813, 547, 519, 1713, 16937, 538, 922, 2589, 609, 824, 16991, 3676, 269, 901, 1797, 602, 621, 568, 606, 1271, 1858, 540, 4797, 1382, 543, 1353, 602, 568, 9001, 3309, 2553, 971, 607, 28047, 3008, 267, 2890, 541, 7590, 267, 543, 9597, 710, 2090, 269, 4329, 4719, 2090, 540, 2789, 6803, 2516, 543, 519, 5137, 540, 2068, 3631, 6220, 2825, 7506, 786, 948, 547, 2333, 543, 13217, 519, 1620, 540, 1808, 6090, 267, 3095, 1137, 267, 607, 1134, 607, 519, 6127, 5817, 519, 2068, 563, 763, 8470, 5267, 590, 8016, 4805, 936, 4946, 824, 6375, 657, 6269, 816, 656, 630, 3041, 264, 538, 2937, 2550, 609, 590, 4041, 609, 9049, 298, 19183, 630, 933, 752, 16252, 1759, 593, 1970, 22979, 540, 519, 2963, 1040, 898, 5267, 849, 4946, 2901, 24211, 311, 267, 700, 293, 301, 267, 1517, 3065, 629, 610, 589, 6630, 547, 1346, 17528, 547, 4431, 547, 590, 8016, 630, 933, 752, 16252, 1759, 593, 1970, 547, 9793, 22979, 540, 519, 2963, 1040, 8779, 543, 8244, 949, 12797, 24211, 311, 630, 14456, 476, 272, 1916, 29587, 543, 25016, 338, 269, 9839, 543, 5761, 9525, 1419, 568, 3361, 676, 6553, 540, 519, 8720, 540, 519, 2295, 630, 704, 545, 731, 1756, 264, 543, 9641, 630, 921, 3120, 1040, 1879, 891, 3889, 1831, 28332, 267, 2550, 949, 1020, 9221, 1928, 267, 12150, 26470, 267, 543, 13250, 540, 5714, 1472, 519, 9641, 630, 921, 584, 4345, 610, 5418, 9766, 344, 264, 543, 2295, 630, 704, 545, 731, 4345, 1040, 634, 2295, 17901, 543, 519, 5761, 3294, 666, 849, 581, 4299, 676, 20461, 267, 4611, 538, 26032, 540, 7362, 563, 21902, 545, 26379, 630, 7704, 322, 2567, 5381, 2589, 1063, 9399, 322, 543, 20461, 616, 17406, 543, 14105, 3534, 644, 781, 2068, 630, 15290, 707, 11263, 2490, 4544, 610, 3043, 609, 4411, 1040, 2290, 3017, 1063, 9399, 322, 543, 20461, 568, 602, 4550, 1673, 19302, 3613, 8681, 539, 5027, 630, 1091, 19091, 264, 543, 4550, 4149, 19431, 630, 10712, 264, 12489, 267, 799, 616, 5532, 547, 20461, 267, 1810, 1405, 2356, 2049, 538, 9399, 322, 269, 6271, 1114, 328, 1807, 568, 602, 1004, 609, 9399, 322, 1419, 723, 12489, 547, 606, 18970, 1572, 590, 743, 268, 3583, 630, 9008, 12251, 9593, 848, 594, 264, 610, 12489, 547, 1298, 668, 699, 5946, 563, 18744, 835, 2551, 2861, 9584, 1353, 1724, 540, 11528, 20461, 22980, 339, 3012, 657, 639, 729, 4857, 269, 901, 1353, 4080, 513, 9860, 540, 476, 1220, 2665, 829, 476, 1911, 267, 1822, 2021, 630, 1240, 547, 476, 4792, 1296, 540, 2085, 264, 538, 4789, 269, 2290, 2689, 1691, 6059, 519, 2949, 772, 2529, 269, 9860, 540, 17386, 11528, 20461, 22980, 339, 3012, 657, 639, 7132, 18106, 11528, 20461, 22980, 339, 3012, 657, 639, 630, 323, 1047, 848, 5870, 1152, 930, 10368, 4170, 585, 11528, 20461, 22980, 339, 3012, 657, 639, 264, 547, 581, 476, 2412, 547, 476, 2004, 2665, 829, 476, 1911, 267, 1822, 7606, 563, 290, 20294, 8803, 6950, 849, 666, 2014, 610, 22009, 21404, 267, 513, 2068, 538, 799, 7633, 1831, 17866, 543, 811, 2693, 547, 2736, 269, 1403, 596, 723, 21404, 267, 596, 1058, 3548, 3536, 3638, 538, 7513, 1169, 1554, 547, 948, 609, 5642, 2208, 269, 6201, 616, 4158, 3039, 267, 21364, 5388, 630, 4944, 514, 778, 267, 22282, 267, 2458, 731, 16719, 1070, 5144, 267, 10381, 267, 543, 18506, 610, 7513, 9360, 602, 2270, 12192, 667, 563, 12179, 821, 666, 723, 20461, 269, 2859, 982, 476, 3445, 2600, 540, 1004, 2713, 609, 20461, 616, 2021, 1063, 519, 6502, 540, 476, 1428, 543, 476, 3393, 269, 3979, 12677, 267, 17104, 267, 7489, 543, 7111, 1977, 2021, 616, 693, 3152, 1981, 540, 3384, 20461, 982, 3043, 2021, 269, 769, 1880, 267, 3979, 12677, 2021, 616, 1614, 2053, 811, 2693, 547, 1205, 20461, 982, 3043, 2021, 269, 9093, 267, 945, 1118, 909, 476, 1015, 2600, 540, 20461, 2550, 267, 1419, 1020, 519, 2068, 1354, 23648, 543, 1310, 519, 2085, 540, 476, 2004, 563, 1103, 590, 4041, 2550, 609, 3978, 2634, 630, 331, 17670, 6147, 321, 8539, 264, 610, 8459, 2068, 630, 331, 17670, 26669, 8539, 1070, 9842, 14090, 12742, 529, 568, 3006, 1031, 547, 4894, 12489, 543, 824, 4761, 6878, 689, 519, 1973, 547, 16401, 12046, 269, 1773, 11047, 777, 12742, 529, 568, 513, 1184, 540, 9427, 1973, 543, 8429, 519, 1973, 998, 513, 19003, 3684, 267, 1287, 13059, 519, 1973, 547, 519, 1560, 609, 922, 12489, 6569, 269, 27824, 569, 267, 1004, 609, 590, 4041, 666, 1020, 12517, 1970, 6676, 2280, 2157, 267, 7551, 2810, 519, 1981, 540, 7050, 543, 21245, 11702, 269, 4595, 519, 838, 22220, 568, 5156, 547, 581, 519, 2101, 3135, 540, 6676, 2280, 9552, 267, 10551, 8851, 540, 519, 838, 22220, 568, 3006, 5340, 547, 2087, 6676, 2280, 2157, 269, 4033, 5574, 723, 3769, 9842, 14090, 12742, 529, 543, 519, 946, 540, 5256, 10399, 563, 2467, 616, 7682, 687, 602, 5198, 5540, 519, 2557, 540, 590, 4041, 269, 1717, 267, 513, 476, 1001, 271, 2689, 540, 2090, 799, 30136, 5198, 543, 590, 4041, 4857, 1896, 2959, 540, 9836, 543, 27696, 5470, 267, 10834, 602, 519, 4276, 1063, 5198, 543, 590, 4041, 949, 581, 838, 21874, 269, 1280, 1383, 267, 2090, 1397, 602, 1514, 1489, 568, 513, 1110, 6819, 3815, 799, 10889, 619, 1996, 590, 4041, 5829, 3441, 543, 15387, 12214, 10342, 269, 5525, 723, 711, 1044, 5342, 547, 3313, 2436, 1004, 540, 1114, 7292, 10080, 4309, 18312, 2157, 540, 1514, 1489, 269, 1403, 972, 568, 513, 3017, 267, 713, 1223, 957, 607, 513, 1476, 15929, 4756, 538, 2090, 12633, 908, 5198, 543, 590, 4041, 269, 6271, 13946, 520, 547, 4063, 950, 6313, 2090, 827, 590, 4041, 568, 602, 2589, 616, 1419, 1582, 3146, 19959, 269, 901, 1184, 12857, 3606, 2959, 540, 27696, 5470, 269, 5525, 723, 3254, 602, 1582, 3146, 19959, 1239, 568, 4299, 676, 811, 982, 1175, 519, 2550, 1995, 609, 519, 2068, 268, 1514, 1489, 267, 519, 1377, 540, 27303, 1145, 267, 543, 9402, 4576, 5829, 5615, 849, 3815, 883, 513, 1582, 12431, 20156, 269, 3958, 267, 824, 2188, 899, 519, 4110, 540, 1514, 1489, 602, 513, 1268, 11392, 267, 14227, 4567, 267, 1072, 6142, 267, 543, 1569, 547, 1416, 666, 3565, 547, 606, 1367, 779, 2068, 11144, 269, 30101, 3604, 538, 20461, 11144, 723, 711, 1044, 1336, 538, 2090, 602, 1852, 585, 519, 14227, 4567, 1496, 306, 2464, 316, 540, 5171, 269, 5525, 602, 1852, 585, 519, 590, 2464, 540, 922, 5171, 723, 1336, 602, 1875, 22554, 1004, 723, 811, 23589, 2068, 12614, 3379, 547, 3043, 1004, 543, 602, 741, 2068, 22264, 811, 3533, 269, 6348, 22554, 2550, 1419, 1867, 811, 22104, 1670, 267, 1583, 657, 531, 267, 14715, 267, 543, 17669, 2589, 269, 1717, 267, 519, 10335, 540, 2589, 543, 9019, 616, 1312, 2147, 538, 3043, 543, 1875, 22554, 2550, 269, 5525, 602, 1867, 1114, 3928, 540, 2068, 11144, 538, 3735, 22533, 590, 4041, 616, 1034, 2693, 10452, 3604, 538, 14227, 4567, 543, 519, 7222, 1569, 547, 1416, 269, 634, 1004, 945, 4309, 2564, 1416, 723, 1419, 934, 29471, 1447, 2068, 5829, 3441, 543, 616, 1447, 2693, 547, 581, 2630, 519, 6710, 1899, 269, 16952, 2090, 723, 1336, 602, 2069, 267, 29281, 4567, 267, 13567, 267, 543, 4747, 1711, 513, 1514, 2796, 799, 8309, 547, 2068, 11144, 563, 5804, 519, 942, 649, 616, 737, 1342, 657, 267, 649, 616, 5143, 602, 649, 1058, 3635, 543, 3548, 1318, 538, 1931, 547, 1332, 909, 2462, 543, 2178, 267, 1318, 286, 4270, 3079, 267, 649, 6170, 1082, 8584, 22173, 9519, 1673, 514, 2996, 11319, 1472, 519, 17112, 543, 824, 19787, 14084, 522, 2381, 3585, 593, 938, 10824, 267, 538, 519, 13922, 602, 789, 786, 4012, 1227, 14897, 267, 610, 15720, 873, 896, 519, 11792, 1117, 12277, 547, 1118, 621, 1413, 865, 269, 3973, 267, 1818, 1346, 588, 1074, 8188, 693, 938, 3237, 267, 950, 649, 5873, 602, 649, 616, 2348, 3165, 585, 12129, 630, 684, 1652, 267, 540, 1576, 267, 922, 519, 3694, 539, 543, 22304, 796, 1211, 16666, 2186, 4700, 1306, 649, 8057, 267, 1082, 540, 721, 910, 8117, 711, 782, 540, 721, 268, 723, 1185, 6492, 19512, 543, 5924, 1455, 2631, 602, 8057, 543, 9921, 323, 8195, 609, 938, 4703, 269, 1284, 723, 2094, 4121, 547, 899, 267, 5310, 1256, 2648, 938, 19787, 543, 1346, 2370, 3165, 625, 649, 2899, 705, 1817, 1042, 269, 1280, 1866, 2507, 711, 865, 1454, 269, 7982, 547, 1283, 454, 307, 532, 1043, 1560, 31457, 630, 307, 13696, 338, 264, 1107, 1804, 943, 698, 7514, 6776, 2281, 538, 519, 10351, 1400, 7740, 540, 6281, 9726, 9136, 1107, 2769, 7131, 6924, 3940, 269, 1452, 2281, 7363, 1266, 5285, 645, 2281, 602, 723, 22734, 30091, 1310, 30717, 5409, 332, 16615, 269, 769, 930, 1004, 609, 590, 4041, 267, 3648, 7864, 570, 13696, 338, 666, 581, 1336, 267, 543, 891, 2281, 10355, 2270, 1570, 689, 26586, 5328, 645, 2281, 269, 4746, 267, 796, 532, 6479, 26586, 5328, 22140, 666, 581, 1336, 3544, 540, 570, 13696, 338, 269, 901, 1570, 949, 1459, 513, 3463, 547, 519, 7109, 1436, 540, 645, 2281, 543, 570, 2281, 269, 667, 754, 26578, 2281, 538, 519, 10351, 1400, 4099, 949, 1439, 26014, 846, 971, 18970, 545, 1570, 543, 1459, 621, 547, 570, 2281, 267, 1437, 908, 873, 269, 4746, 267, 26586, 5328, 6985, 11294, 543, 22140, 949, 8936, 547, 519, 7252, 540, 21155, 983, 27765, 26578, 2281, 543, 1118, 713, 1570, 2139, 585, 1437, 908, 824, 645, 2281, 602, 949, 723, 14477, 9715, 1582, 10391, 640, 998, 30717, 5409, 332, 16615, 269, 715, 1815, 15727, 267, 513, 605, 13611, 1106, 540, 1591, 2669, 267, 568, 2799, 538, 570, 9726, 14231, 267, 1813, 547, 24197, 14524 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 8139, 519, 11534, 3151, 17564, 589, 12031, 1590, 1459, 1354, 12394, 547, 4831, 621, 519, 2278, 17767, 519, 1101, 24895, 269, 1411, 723, 547, 19584, 519, 3409, 602, 568, 3355, 5402, 267, 9878, 2673, 3007, 547, 519, 2601, 543, 12383, 1031, 547, 948, 519, 1448, 269, 1635, 10834, 602, 856, 22327, 2759, 3790, 585, 1004, 585, 1383, 267, 513, 1533, 8165, 602, 31399, 625, 1590, 17997, 2838, 856, 22327, 585, 519, 1053, 1522, 1489, 922, 1448, 543, 789, 1577, 1053, 547, 13404, 811, 32348, 593, 741, 5359, 269, 4813, 532, 513, 5098, 596, 723, 547, 15476, 513, 12031, 17083, 2443, 513, 2489, 1448, 585, 707, 2376, 606, 1367, 786, 581, 18164, 827, 519, 824, 4901, 269, 769, 519, 6450, 583, 2145, 3594, 2013, 267, 713, 2582, 1606, 27542, 1058, 5612, 28586, 519, 5098, 17083, 269, 634, 3948, 2731, 1058, 581, 30286, 513, 2312, 4901, 543, 1058, 581, 1880, 538, 922, 1257, 543, 1543, 269, 6145, 267, 538, 519, 2680, 519, 3355, 5098, 3948, 568, 28968, 1058, 711, 14892, 9584, 593, 2831, 607, 621, 568, 711, 1480, 324, 267, 596, 961, 581, 2111, 547, 3132, 835, 540, 519, 1034, 1480, 324, 543, 3730, 1259, 2688, 1957, 1603, 3028, 547, 1449, 6646, 585, 1480, 10108, 563, 1692, 547, 3503, 606, 21261, 894, 1557, 630, 5976, 24436, 264, 910, 530, 23943, 454, 310, 344, 978, 1557, 5856, 2934, 540, 606, 12819, 1557, 4642, 989, 1901, 13962, 632, 7762, 2023, 3594, 7784, 1852, 4661, 1557, 26250, 902, 269, 594, 729, 14719, 908, 1793, 22326, 593, 1250, 1557, 543, 2469, 1394, 547, 3207, 855, 1287, 594, 15422, 1557, 11427, 269, 654, 784, 568, 1394, 543, 1352, 3513, 12777, 6968, 803, 1524, 1557, 593, 513, 12666, 2069, 267, 705, 1056, 1990, 933, 1512, 12908, 23565, 2079, 1557, 3486, 1957, 476, 18605, 272, 1382, 4104, 3662, 2924, 1557, 10388, 4633, 28939, 8611, 1382, 4574, 17720, 2079, 1557, 29275, 2689, 269, 6022, 659, 1470, 2484, 5886, 1470, 2079, 1557, 269, 4828, 827, 8788, 543, 21379, 1952, 1465, 257, 338, 5635, 543, 4334, 1557, 540, 21604, 543, 20246, 543, 13470, 639, 543, 713, 2041, 10855, 1557, 827, 513, 8004, 23136, 267, 1644, 5403, 540, 645, 656, 340, 1876, 1557, 1603, 606, 12819, 1557, 32029, 10080, 1159, 603, 3594, 593, 18111, 340, 2763, 6138, 1641, 2339, 16278, 1557, 948, 269, 3807, 875, 547, 17492, 513, 6450, 583, 2145, 19837, 10488, 269, 1677, 1711, 513, 3532, 12031, 602, 568, 6450, 583, 2145, 267, 19584, 519, 824, 3409, 8499, 269, 13565, 15080, 589, 6450, 18636, 1023, 2680, 568, 547, 771, 1301, 606, 10779, 776, 338, 4901, 269, 1635, 4101, 543, 7829, 1142, 851, 540, 513, 1533, 267, 513, 6450, 583, 2145, 2488, 513, 4831, 30348, 267, 799, 786, 581, 3294, 513, 1106, 540, 4661, 269, 769, 513, 6450, 583, 2145, 3594, 2013, 267, 519, 4367, 1058, 1683, 513, 5098, 3948, 602, 568, 2312, 543, 519, 1560, 9433, 1058, 2709, 2079, 543, 6169, 547, 16355, 557, 519, 15852, 3409, 563, 1607, 12031, 568, 26650, 514, 12103, 2634, 14980, 5614, 6249, 2079, 1557, 29845, 11078, 5810, 1557, 3932, 476, 1911, 271, 2262, 1557, 3817, 7117, 671, 3190, 807, 523, 10750, 974, 1608, 1889, 2079, 1557, 2110, 1557, 593, 6808, 8279, 3284, 1158, 1686, 24563, 336, 1557, 476, 1220, 280, 562, 9346, 22305, 1116, 323, 1170, 10488, 546, 644, 523, 556, 577, 1206, 577, 516, 756, 335, 745, 1030, 2426, 519, 27241, 4661, 3594, 1557, 269, 30960, 29225, 23014, 30550, 2565, 1557, 10855, 1557, 593, 28581, 11812, 740, 24863, 1382, 4574, 7350, 3594, 593, 3540, 27136, 17171, 1990, 4883, 5362, 1250, 2197, 1557, 538, 513, 32106, 267, 521, 4673, 29225, 23014, 30550, 2565, 1557, 9661, 655, 737, 328, 513, 327, 332, 12011, 520, 1557, 1557, 827, 14120, 3993, 781, 1554, 10855, 1557, 593, 28581, 11812, 269, 594, 24247, 579, 527, 332, 1382, 1957, 875, 547, 2328, 513, 943, 323, 12031, 23408, 5810, 10855, 1557, 827, 1250, 3993, 733, 2129, 1557, 1612, 2211, 1121, 24652, 15854, 267, 1557, 593, 7365, 538, 1114, 4529, 2328, 1250, 1382, 1957, 10464, 22655, 267, 1557, 1603, 1187, 325, 1515, 1382, 1957, 585, 6530, 10851, 519, 7521, 936, 269, 2142, 523, 2119, 3534, 1589, 540, 513, 1259, 547, 11753, 1412, 325, 3089, 3043, 3013, 262, 883, 1250, 3803, 981, 1557, 585, 1250, 1514, 32389, 1362, 269, 2552, 7337, 658, 2852, 23504, 1557, 18451, 322, 1153, 6530, 23504, 1557, 875, 547, 2328, 1865, 1557, 3621, 1505, 543, 10952, 2079, 1557, 678, 16210, 4744, 31277, 593, 15366, 9525, 16056, 1557, 593, 7296, 1554, 606, 1557, 827, 3993, 543, 4651, 579, 536, 867, 324, 14513, 476, 273, 4619, 528, 5302, 531, 523, 1557, 269, 1912, 787, 1146, 324, 10855, 1557, 20192, 5052, 796, 614, 20199, 31258, 23437, 1731, 339, 581, 7371, 1408, 1557, 5206, 3368, 519, 1557, 586, 2465, 24849, 27613, 979, 960, 607, 513, 14129, 14070, 11776, 11464, 1631, 1250, 5172, 1747, 1557, 538, 2261, 27821, 519, 27241, 4661, 3594, 2564, 1153, 3498, 1557, 2239, 12178, 540, 519, 4950, 1557, 11056, 1557, 1382, 269, 5675, 856, 2338, 538, 3594, 1535, 6447, 563, 13825, 534, 1705, 542, 1557, 593, 521, 9017, 16562, 12798, 543, 11959, 3039, 4838, 2110, 1557, 3259, 875, 547, 2328, 513, 943, 323, 12031, 23408, 1557, 538, 3486, 1876, 1876, 5399, 2230, 1557, 827, 1250, 3993, 1633, 683, 25659, 12031, 1147, 561, 262, 517, 340, 679, 7192, 686, 4302, 7128, 536, 686, 25053, 1557, 1286, 11194, 2090, 1309, 701, 3594, 269, 1215, 547, 2328, 513, 8642, 1374, 12031, 1382, 1957, 593, 1158, 4984, 1686, 2951, 3594, 1292, 1391, 5830, 6476, 1557, 579, 2738, 5652, 671, 5887, 564, 573, 1557, 605, 1557, 5856, 10958, 771, 2284, 1633, 2842, 1648, 1382, 1957, 1686, 519, 1871, 540, 2852, 2069, 1557, 1297, 1557, 593, 2973, 1216, 538, 21562, 269, 3776, 1158, 568, 4657, 1557, 827, 8885, 19684, 5542, 543, 12802, 538, 554, 3944, 1557, 960, 2802, 545, 1557, 1592, 286, 4828, 827, 1250, 19463, 3014, 3983, 332, 15586, 11786, 2852, 23504, 1557, 23141, 1557, 1957, 4367, 5037, 540, 16878, 1557, 1382, 1957, 585, 9042, 18755, 897, 3518, 710, 1153, 15246, 1557, 1490, 684, 334, 1025, 4545, 651, 2006, 519, 28140, 543, 4744, 31277, 1603, 2500, 6476, 610, 4334, 3594, 5098, 3948, 585, 12819, 1557, 269, 17421, 1557, 281, 530, 24175, 5614, 3440, 538, 2407, 2681, 476, 1911, 271, 2262, 1557, 593, 31994, 32053, 4622, 795, 337, 6010, 515, 1206, 325, 655, 24452, 4661, 1557, 269, 2622, 1510, 3610, 1557, 7819, 1686, 1535, 4670, 2689, 1557, 1250, 2197, 1557, 1603, 269, 8682, 9015, 2110, 1557, 827, 1272, 1514, 9698, 1557, 267, 513, 2689, 540, 519, 3332, 593, 2013, 1353, 1382, 1957, 1557, 1603, 538, 2261, 27821, 1893, 12621, 602, 2154, 29433, 3594, 28866, 24915, 29716, 15309, 545, 3570, 10855, 1557, 12819, 1557, 4568, 568, 14124, 547, 2486, 1557, 593, 11299, 1554, 269, 570, 1046, 990, 20391, 3859, 529, 2079, 1557, 1159, 1662, 476, 274, 1091, 2079, 1557, 3109, 2669, 1382, 1957, 1990, 25995, 12031, 7493, 338, 3486, 476, 6246, 607, 7350, 1216, 1557, 10388, 1557, 30978, 563, 305, 16210, 4744, 31277, 593, 15366, 9525, 1603, 856, 2338, 538, 3594, 1535, 6447, 6214, 540, 3961, 2565, 1557, 1603, 4984, 543, 7787, 640, 3594, 593, 2601, 5601, 543, 29678, 1148, 2234, 327, 11986, 19038, 324, 2110, 4670, 4408, 538, 3594, 875, 547, 1544, 15257, 1557, 4853, 4838, 3123, 543, 2360, 1557, 269, 12722, 1014, 9111, 1557, 1007, 26294, 12819, 1557, 2553, 3381, 538, 519, 7099, 585, 2648, 4670, 1557, 593, 2909, 7588, 11337, 2158, 543, 620, 1372, 5139, 525, 10282, 1557, 269, 10960, 6057, 1557, 3932, 269, 12370, 26159, 1369, 1557, 1603, 10927, 1153, 3594, 31872, 273, 267, 1250, 1554, 1510, 5201, 1557, 269, 590, 3563, 5810, 1557, 3932, 12031, 593, 2413, 6189, 1318, 547, 1646, 1557, 5635, 543, 4334, 1557, 540, 21604, 543, 20246, 543, 13470, 639, 543, 713, 2041, 12109, 1188, 28642, 536, 2784, 2917, 1557, 948, 1382, 1957, 593, 2860, 1990, 31821, 1129, 1557, 593, 32537, 540, 8574, 1557, 593, 519, 7996, 4055, 269, 681, 7666, 26387, 12031, 2689, 267, 1557, 593, 2034, 5108, 540, 2780, 524, 24175, 7532, 15922, 544, 1873, 3498, 1557, 269, 12708, 3282, 4160, 1382, 4574, 16481, 1509, 525, 6905, 1557, 7493, 4744, 31277, 538, 1686, 30462, 19016, 1731, 581, 7371, 1408, 1557, 476, 274, 11634, 747, 1084, 2895, 924, 19241, 584, 581, 7371, 1408, 1557, 1072, 3106, 609, 27194, 1557, 3039, 4838, 2110, 1557, 3259, 733, 2129, 1557, 1612, 2211, 1121, 24652, 15854, 1507, 2829, 5288, 1804, 2829, 1557, 10855, 1557, 563, 4002, 29746, 3122, 11362, 1557, 910, 15090, 5459, 18229, 6660, 706, 571, 454, 1692, 547, 3503, 513, 6450, 583, 2145, 4828, 269, 14430, 2356, 723, 6450, 18636, 1023, 269, 769, 1603, 606, 1557, 267, 596, 2356, 798, 711, 3274, 2482, 1524, 707, 7440, 269, 3367, 811, 6450, 583, 2145, 4828, 910, 530, 333, 2903, 476, 272, 270, 273, 270, 1001, 276, 1931, 1434, 6450, 583, 2145, 4661, 1557, 3584, 269, 3203, 9356, 741, 2702, 547, 1557, 568, 476, 1001, 275, 1383, 540, 1063, 1935, 585, 1557, 3584, 5220, 1557, 3584, 1224, 811, 1863, 543, 14430, 910, 476, 11277, 15276, 1889, 6450, 583, 2145, 1557, 5098, 1603, 910, 630, 271, 2070, 264, 1215, 798, 1775, 3442, 1063, 31964, 267, 3675, 558, 5055, 543, 667, 14442, 531, 888, 291, 699, 330, 1654, 650, 517, 910, 1250, 6280, 1272, 1557, 538, 7005, 3594, 269, 2725, 1310, 18138, 519, 1557, 281, 513, 320, 599, 737, 534, 9564, 812, 562, 328, 812, 803, 1586, 281, 5609, 262, 334, 562, 328, 562, 698, 579, 3630, 812, 286, 2725, 1586, 281, 513, 14150, 552, 327, 267, 1557, 11034, 521, 1782, 16405, 1557, 546, 592, 576, 1696, 7718, 636, 1609, 2079, 6648, 1557, 20842, 592, 2940, 10282, 1557, 8913, 552, 4744, 31277, 11815, 340, 2572, 942, 2359, 1557, 476, 7742, 1913, 607, 7350, 1216, 1557, 269, 19837, 10488, 11006, 533, 2678, 28386, 6214, 540, 3961, 2565, 1557, 1603, 2995, 721, 1310, 827, 707, 3872, 543, 4876, 3853, 543, 17050, 1557, 1557, 1210, 17720, 3457, 2110, 1557, 593, 2635, 6208, 914, 339, 754, 21807, 2376, 593, 2257, 543, 2104, 1557, 2123, 2239, 1557, 11505, 286, 9210, 626, 12118, 3284, 7350, 1557, 7128, 536, 686, 25053, 1557, 513, 2689, 540, 519, 3332, 593, 2013, 1353, 1382, 1957, 1557, 593, 11648, 538, 1153, 269, 1133, 1150, 16308, 4539, 1557, 5856, 535, 32256, 1535, 328, 536, 342, 341, 476, 5952, 277, 16878, 3594, 476, 274, 11634, 747, 1084, 2895, 924, 19241, 584, 581, 7371, 1408, 1557, 896, 3595, 18911, 686, 3046, 24650, 572, 2079, 1557, 286, 645, 612, 518, 2426, 1087, 3832, 514, 581, 7371, 1408, 1557, 1382, 1957, 1374, 3948, 1382, 519, 1871, 540, 2852, 2069, 1557, 1535, 6447, 1768, 22641, 30065, 1817, 333, 12031, 7493, 1219, 518, 1042, 2962, 1557, 1210, 897, 976, 538, 3594, 10357, 7874, 1604, 1557, 563, 344, 1695, 5622, 1863, 6450, 583, 2145, 4574, 267, 3594, 267, 543, 1382, 4574, 269, 1411, 949, 849, 4990, 891, 676, 2681, 12773, 610, 1224, 811, 4831, 8010, 270, 3725, 8117, 2145, 24225, 1383, 6450, 583, 2145, 538, 519, 4298, 331, 2381, 7844, 540, 21261, 834, 763, 6450, 583, 2145, 630, 305, 264, 15824, 519, 1599, 540, 513, 3106, 11896, 610, 9101, 24011, 267, 543, 568, 267, 607, 513, 4341, 267, 813, 2105, 547, 3409, 3948, 269, 3367, 811, 910, 1995, 554, 336, 2228, 4828, 1603, 7896, 7046, 11657, 269, 12989, 568, 606, 1557, 593, 834, 16240, 519, 3501, 1234, 8117, 2145, 257, 689, 14640, 10749, 267, 707, 2707, 585, 1382, 4574, 267, 3594, 267, 543, 2165, 1957, 1806, 269, 3367, 811, 6450, 583, 2145, 21261, 11762, 5131, 3594, 910, 1353, 300, 1712, 476, 1556, 270, 2190, 270, 1220, 280, 901, 13505, 1522, 6435, 596, 269, 11555, 281, 7151, 540, 513, 6450, 583, 2145, 585, 606, 12819, 1557, 888, 296, 993, 1603, 606, 12819, 1557, 543, 1775, 993, 711, 2386, 875, 547, 1224, 811, 1383, 540, 513, 6450, 583, 2145, 585, 606, 12819, 1557, 286, 586, 1695, 5622, 3594, 585, 1401, 4461, 282, 1433, 2689, 282, 14288, 1160, 1842, 1023, 282, 4758, 547, 519, 22559, 282, 21909, 539, 8249, 2173, 5055, 3391, 268, 23981, 3391, 568, 606, 1383, 540, 513, 6450, 583, 2145, 3296, 689, 513, 1224, 811, 1625, 16746, 22559, 281, 21261, 14430, 513, 6450, 583, 2145, 547, 1455, 12752, 14803, 3701, 269, 634, 1739, 568, 513, 6450, 583, 2145, 547, 1082, 1455, 7440, 602, 519, 3282, 543, 3154, 2872, 3096, 547, 834, 14445, 622, 257, 519, 1857, 827, 1224, 811, 1557, 3584, 544 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 693, 519, 13105, 543, 7522, 4724, 519, 22765, 269, 0, 13202, 710, 8068, 267, 1247, 4974, 930, 13306, 2338, 267, 602, 952, 596, 1491, 454, 22764, 15654, 2898, 2338, 543, 9062, 873, 1927, 543, 1287, 454, 5417, 519, 1647, 1297, 540, 519, 1614, 267, 596, 1205, 519, 1647, 1297, 269, 1547, 1547, 4586, 16521, 2185, 15654, 2898, 2338, 269, 25092, 519, 1101, 543, 2063, 2338, 1927, 269, 25092, 519, 1647, 6292, 1927, 269, 1548, 798, 596, 5469, 888, 16521, 1022, 1079, 2338, 269, 11910, 873, 513, 543, 536, 269, 4518, 856, 519, 12980, 1611, 543, 519, 12166, 1611, 269, 6904, 568, 8273, 286, 19244, 585, 824, 8424, 540, 2338, 269, 1548, 798, 596, 5469, 888, 2691, 1297, 26829, 723, 513, 5311, 593, 519, 5377, 4494, 267, 930, 4277, 3270, 10836, 2483, 2304, 2376, 799, 3947, 606, 2272, 540, 930, 3601, 540, 9059, 10945, 563, 2171, 666, 1397, 602, 630, 343, 1341, 476, 272, 264, 11054, 815, 1535, 11054, 1341, 476, 273, 343, 1341, 476, 272, 676, 6236, 454, 1492, 1858, 540, 606, 630, 343, 1341, 476, 272, 264, 676, 630, 343, 1341, 476, 272, 264, 4009, 269, 8058, 538, 513, 2147, 1259, 454, 7474, 630, 343, 1341, 476, 273, 264, 11054, 815, 1535, 11054, 1341, 476, 275, 343, 1341, 476, 275, 454, 2791, 666, 960, 856, 519, 1297, 2576, 3116, 568, 3206, 540, 607, 5205, 269, 9105, 513, 3659, 547, 1589, 540, 1022, 2067, 1297, 1447, 982, 476, 1911, 269, 3973, 2307, 873, 547, 2995, 596, 519, 2611, 10249, 950, 713, 1297, 568, 5258, 676, 269, 1547, 1547, 4586, 763, 1297, 540, 2371, 538, 6004, 17755, 2958, 528, 781, 9059, 29238, 8774, 4679, 454, 4261, 697, 269, 1261, 9364, 899, 547, 2322, 519, 1482, 1297, 540, 2371, 538, 1142, 540, 454, 20130, 10651, 267, 9544, 835, 4677, 1142, 1554, 269, 1215, 666, 646, 798, 621, 888, 303, 1157, 513, 4009, 1369, 513, 8691, 4009, 543, 1039, 519, 2338, 593, 454, 26421, 15497, 269, 1548, 798, 596, 5469, 888, 8967, 31857, 3270, 666, 581, 606, 1271, 1101, 1900, 910, 7713, 1946, 621, 568, 3617, 547, 2489, 1047, 568, 519, 1985, 1900, 267, 543, 1419, 519, 1034, 4277, 543, 1271, 563, 763, 2040, 540, 519, 2338, 476, 275, 543, 476, 272, 1496, 272, 270, 274, 316, 568, 519, 1482, 607, 519, 1587, 540, 476, 275, 543, 476, 272, 1496, 272, 270, 274, 22049, 602, 568, 547, 2161, 476, 275, 1341, 476, 272, 1496, 272, 270, 274, 316, 815, 476, 275, 6398, 476, 272, 1496, 272, 270, 274, 4940, 1548, 824, 2338, 723, 519, 2040, 3160, 547, 519, 1587, 543, 666, 713, 581, 865, 585, 269, 1547, 1547, 4586, 8266, 1022, 476, 274, 2338, 269, 898, 568, 2141, 2009, 547, 1265, 513, 15410, 540, 454, 29951, 8809, 2338, 602, 1039, 909, 547, 513, 2789, 540, 476, 274, 269, 2052, 596, 2491, 454, 25585, 543, 6961, 621, 888, 6624, 2338, 666, 581, 6829, 607, 519, 3017, 540, 1079, 3501, 10945, 269, 1548, 798, 596, 5469, 827, 519, 2338, 596, 27114, 27237, 1118, 888, 4692, 596, 1265, 519, 1858, 540, 513, 25521, 3989, 676, 1079, 10321, 888, 303, 1157, 519, 1297, 540, 2053, 513, 3018, 602, 596, 3548, 10217, 269, 901, 1297, 1590, 581, 811, 982, 835, 855, 1447, 982, 4557, 563, 11372, 17586, 713, 1297, 676, 476, 273, 269, 5410, 476, 276, 630, 1721, 10732, 1040, 25092, 676, 476, 2004, 1862, 2052, 596, 2491, 1946, 621, 269, 1547, 1547, 4586, 13825, 814, 1614, 2338, 799, 1352, 8591, 1927, 538, 8424, 269, 1879, 1352, 454, 323, 3996, 713, 1352, 814, 1614, 1114, 9103, 1023, 281, 476, 1556, 267, 476, 1704, 543, 476, 2420, 1548, 616, 454, 1492, 1614, 2338, 11835, 1185, 547, 1376, 609, 18313, 5331, 4358, 609, 835, 5835, 13306, 543, 8720, 621, 782, 936, 609, 454, 320, 2582, 4494, 540, 2699, 18695, 267, 543, 1287, 8720, 602, 13306, 609, 513, 454, 331, 9707, 540, 4544, 18695, 269, 1215, 1082, 2699, 543, 4544, 18695, 1131, 596, 991, 888, 4692, 596, 2491, 519, 9670, 2164, 11835, 1336, 950, 1352, 7229, 454, 1492, 3017, 1063, 4009, 2338, 888, 5331, 649, 723, 2185, 11435, 5627, 2338, 689, 513, 5311, 269, 1548, 2338, 666, 649, 1118, 1631, 888, 288, 2370, 3787, 540, 7223, 6941, 713, 1412, 332, 20723, 8339, 9105, 513, 3659, 547, 4584, 476, 274, 15654, 2338, 543, 547, 2995, 596, 513, 2789, 540, 476, 274, 269, 3973, 2307, 873, 547, 1039, 519, 2185, 2338, 543, 9062, 676, 476, 6858, 267, 543, 547, 2995, 596, 269, 1547, 1547, 4586, 306, 1115, 540, 9981, 899, 476, 274, 267, 476, 275, 267, 476, 276, 616, 1572, 25355, 10222, 1255, 267, 1317, 789, 1223, 581, 519, 13080, 540, 519, 5011, 540, 513, 1318, 268, 22931, 6906, 269, 2052, 596, 1265, 1022, 811, 888, 306, 13645, 2338, 666, 581, 6719, 607, 519, 2040, 540, 15654, 9642, 454, 11133, 1499, 269, 1548, 568, 519, 2040, 540, 476, 272, 1341, 476, 274, 1341, 10371, 1862, 1341, 476, 14983, 1341, 476, 14681, 1341, 476, 14631, 888, 5278, 1053, 723, 1044, 2324, 856, 519, 1297, 540, 22204, 2877, 585, 1114, 7306, 540, 10814, 269, 2052, 596, 1118, 2631, 540, 741, 3435, 888, 1432, 616, 519, 2127, 540, 891, 12730, 286, 1548, 798, 596, 5469, 286, 2052, 596, 2489, 1047, 547, 824, 834, 325, 7056, 625, 257, 540, 12730, 888, 28139, 326, 976, 6537, 593, 4009, 12297, 1399, 1957, 723, 15956, 593, 741, 15943, 454, 9638, 264, 543, 1419, 4835, 630, 328, 264, 3283, 607, 1134, 269, 4855, 513, 2078, 454, 24992, 533, 267, 1775, 543, 519, 1858, 540, 519, 29977, 563, 2252, 596, 666, 5299, 513, 3060, 1510, 17666, 707, 4050, 1055, 519, 1957, 543, 1510, 5373, 1022, 1899, 7466, 267, 1287, 621, 568, 21986, 762, 563, 13356, 728, 799, 540, 891, 12222, 616, 21986, 762, 563, 5331, 649, 723, 2185, 11435, 5627, 513, 1804, 1297, 540, 476, 272, 338, 267, 476, 275, 338, 267, 476, 278, 338, 543, 476, 1015, 338, 269, 1548, 2338, 666, 649, 1118, 888, 5331, 513, 1804, 13306, 1500, 689, 1507, 2699, 18695, 1373, 12628, 883, 513, 454, 13607, 540, 5835, 5862, 269, 1215, 1082, 540, 519, 1507, 18695, 786, 723, 5835, 454, 335, 5593, 593, 741, 8188, 888, 31590, 4120, 2338, 666, 581, 6719, 676, 513, 21083, 5044, 540, 10945, 269, 1548, 798, 596, 5469, 827, 519, 2040, 540, 9838, 6906, 2338, 888, 8340, 930, 1806, 540, 8424, 540, 2338, 971, 602, 741, 2040, 568, 513, 454, 26476, 540, 741, 1587, 269, 19838, 269, 476, 275, 1341, 476, 1321, 815, 476, 1626, 543, 476, 275, 6398, 476, 1321, 815, 476, 4366, 543, 454, 1626, 568, 513, 3815, 540, 476, 4366, 563, 1432, 1131, 596, 1205, 952, 596, 4797, 713, 5311, 540, 6824, 18304, 888, 272, 270, 273, 1341, 476, 273, 270, 272, 21591, 273, 270, 274, 1341, 476, 274, 270, 273, 21591, 274, 270, 275, 1341, 476, 275, 270, 274, 21591, 12648, 1022, 1079, 2318, 2338, 269, 12433, 519, 12980, 543, 12166, 1797, 269, 19244, 519, 9273, 547, 5352, 513, 5311, 540, 12980, 1797, 543, 12166, 1797, 269, 5269, 513, 4063, 540, 1018, 4523, 547, 519, 269, 1547, 1547, 4586, 4692, 596, 4766, 713, 8905, 547, 20581, 286, 7316, 786, 519, 21985, 1491, 596, 1985, 888, 13706, 782, 1079, 7857, 2338, 630, 1015, 267, 476, 1556, 267, 1547, 1547, 1547, 2073, 4200, 1040, 769, 1603, 1524, 454, 718, 891, 2338, 267, 799, 9704, 2049, 2547, 1419, 267, 543, 799, 2049, 454, 2865, 1419, 7790, 1548, 827, 1614, 7857, 2338, 267, 2185, 7857, 2338, 269, 1547, 1547, 4586, 2005, 6238, 3833, 2241, 855, 1390, 3255, 585, 1297, 8906, 543, 3270, 2336, 2521, 10024, 1114, 5036, 540, 2338, 538, 519, 1297, 26829, 269, 1215, 1281, 519, 2698, 693, 519, 1283, 1689, 888, 13142, 12340, 814, 1500, 513, 18903, 966, 269, 2052, 596, 946, 1010, 1383, 547, 1118, 930, 811, 286, 1656, 875, 827, 18903, 700, 338, 267, 715, 338, 543, 654, 338, 888, 4692, 596, 1265, 5036, 540, 1793, 14563, 3515, 602, 11700, 846, 513, 4009, 888, 1692, 1223, 623, 10154, 267, 8751, 543, 15623, 960, 856, 875, 1082, 669, 4377, 919, 972, 454, 732, 538, 1114, 21092, 10833, 888, 13142, 12340, 814, 6410, 1063, 2477, 543, 519, 3328, 4747, 540, 1312, 454, 13757, 2799, 269, 1215, 666, 713, 581, 865, 888, 763, 21072, 6829, 782, 8454, 607, 519, 2040, 540, 1114, 1770, 454, 325, 10330, 269, 3371, 568, 513, 4960, 547, 2263, 875, 789, 1223, 723, 2854, 454, 288, 2197, 814, 4956, 547, 723, 1175, 1079, 1114, 11113, 267, 476, 274, 345, 543, 476, 276, 345, 454, 23915, 269, 6904, 9103, 1023, 666, 581, 1500, 286, 1772, 972, 513, 4102, 2698, 602, 454, 4754, 2254, 581, 1500, 286, 1215, 798, 596, 917, 888, 288, 10189, 3568, 513, 1305, 540, 2200, 2966, 547, 1020, 454, 335, 1575, 2812, 685, 6310, 3206, 269, 901, 10189, 4025, 513, 454, 4820, 7781, 8561, 593, 968, 2102, 1968, 2358, 892, 543, 568, 2966, 454, 1729, 2743, 519, 269, 1547, 1547, 4586, 2710, 596, 5469, 4376, 827, 519, 3435, 950, 596, 1039, 543, 5924, 454, 11357, 339, 847, 15654, 2942, 2338, 888, 5331, 596, 723, 513, 1804, 3761, 540, 476, 274, 11899, 543, 476, 279, 11899, 12035, 269, 1215, 1082, 540, 1142, 2597, 1131, 596, 991, 585, 519, 3328, 630, 11743, 264, 540, 519, 12035, 547, 581, 476, 277, 11899, 286, 1548, 824, 25939, 1223, 596, 723, 888, 4692, 782, 1770, 8454, 581, 2854, 607, 519, 2040, 540, 1079, 1770, 8454, 888, 4692, 596, 1294, 875, 547, 1628, 513, 23191, 6906, 286, 2052, 596, 960, 856, 519, 1985, 1079, 9343, 888, 8196, 519, 14318, 547, 948, 596, 960, 856, 875, 1082, 3515, 616, 2877, 547, 2721, 7793, 545, 24712, 540, 1114, 7306, 563, 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, 888, 16521, 513, 7008, 540, 519, 9696, 269, 8347, 547, 4605, 875, 547, 1118, 519, 1985, 267, 543, 519, 1985, 267, 543, 519, 1985, 1862, 2052, 596, 4766, 707, 7744, 286, 0, 4488, 288, 11310, 16684, 281, 11154, 532, 547, 8693, 7827, 538, 661, 7563, 454, 4488, 288, 918, 301, 8582, 29612, 12283, 645, 6020, 9128, 281, 11154, 532, 547, 8693, 7827, 538, 661, 7563, 454, 6944, 9009, 547, 2442, 8226, 267, 661, 7563, 2477, 616, 3648, 12219, 676, 2916, 1689, 267, 609, 3978, 4220, 2907, 538, 2963, 269, 8693, 1689, 568, 4929, 5162, 17160, 267, 4832, 26221, 267, 13621, 540, 7989, 2378, 15543, 543, 22260, 267, 543, 568, 7133, 3289, 14347, 269, 24093, 689, 4262, 1377, 4473, 267, 15420, 543, 824, 26037, 267, 543, 519, 1981, 540, 4049, 1216, 22520, 543, 9390, 2305, 267, 616, 2810, 563, 763, 13438, 543, 13261, 4390, 540, 661, 7563, 2477, 547, 2916, 1689, 936, 519, 1985, 1079, 5756, 786, 581, 13856, 676, 8739, 20300, 2188, 543, 9371, 2152, 1765, 2254, 2406, 519, 25680, 2825, 3510, 543, 519, 4057, 1533, 540, 5989, 1765, 337, 1430, 982, 676, 2916, 1689, 3294, 563, 10214, 2477, 543, 9922, 602, 1796, 547, 4324, 689, 2916, 1689, 616, 14605, 17479, 547, 798, 865, 269, 3509, 3494, 602, 15911, 2916, 543, 10731, 13247, 538, 27040, 661, 7563, 786, 1930, 909, 1007, 6694, 4395, 4536, 269, 1717, 267, 519, 1699, 7934, 1063, 1761, 543, 4890, 11729, 538, 661, 7563, 568, 1454, 2362, 982, 1022, 12374, 2916, 1689, 666, 3142, 282, 519, 17418, 540, 27782, 16330, 267, 6576, 543, 12907, 547, 2673, 519, 7607, 7934, 1281, 711, 536, 1712, 1134, 585, 741, 4390, 547, 3082, 547, 543, 4324, 689, 2916, 1689, 563, 763, 1985, 8717, 3091, 513, 6885, 540, 4316, 585, 661, 7563, 547, 1118, 922, 1646, 811, 14388, 547, 2916, 1689, 1247, 556, 12686, 1071, 1532, 523, 9026, 269, 2368, 5222, 540, 2916, 1689, 786, 2693, 2611, 19242, 538, 519, 2110, 3856, 855, 519, 3790, 540, 14605, 2966, 610, 8045, 4507, 1223, 4473, 6385, 563, 763, 2916, 568, 4657, 543, 1082, 2477, 538, 661, 7563, 616, 7925, 607, 789, 616, 6534, 547, 519, 4539, 281, 15911, 5210, 267, 4657, 3289, 14347, 267, 26221, 267, 17160, 267, 3002, 6329, 267, 2842, 28323, 267, 543, 4104, 11642, 269, 634, 4908, 543, 1942, 540, 2067, 12469, 723, 2799, 13497, 538, 661, 7563, 2477, 269, 634, 5834, 540, 8511, 9362, 2907, 538, 519, 5790, 18715, 602, 972, 786, 581, 811, 2916, 2242, 1765, 16838 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1703, 568, 2963, 10756, 31880, 9822, 725, 540, 2520, 558, 8568, 2361, 2014, 2242, 538, 8849, 3060, 269, 898, 6645, 721, 875, 547, 4431, 538, 2104, 593, 1880, 19236, 2990, 543, 666, 2392, 9057, 710, 721, 585, 2048, 338, 2432, 685, 649, 4862, 585, 519, 1101, 942, 538, 27042, 14872, 269, 1284, 616, 16220, 11063, 539, 711, 1152, 547, 4309, 2898, 1623, 21620, 269, 476, 1704, 1547, 6168, 14715, 851, 540, 3069, 1530, 2096, 712, 3081, 281, 16938, 2005, 568, 1634, 602, 938, 14715, 1062, 3568, 3167, 14768, 269, 799, 6411, 899, 606, 19215, 269, 689, 1906, 3764, 547, 1896, 1296, 269, 693, 1114, 5933, 269, 1358, 798, 865, 1317, 789, 1404, 519, 2101, 1909, 538, 3001, 519, 3141, 827, 519, 1455, 4099, 540, 2527, 540, 519, 3859, 1062, 269, 634, 4611, 15088, 540, 3047, 779, 2361, 616, 13603, 909, 676, 519, 8401, 1062, 540, 519, 21565, 269, 543, 891, 547, 930, 6708, 786, 3313, 922, 2596, 16220, 15110, 7209, 4162, 269, 855, 849, 547, 4431, 547, 1880, 23260, 269, 4935, 519, 10785, 1404, 513, 1909, 538, 519, 25244, 540, 3047, 779, 6419, 2361, 676, 519, 3859, 2842, 269, 865, 1978, 19383, 540, 782, 519, 10785, 269, 21275, 269, 543, 891, 15222, 1125, 519, 4835, 6211, 23234, 540, 519, 21565, 799, 1852, 519, 4090, 540, 4332, 269, 9376, 930, 540, 519, 21513, 540, 519, 3047, 779, 2361, 538, 1900, 609, 519, 19236, 5322, 269, 3047, 6419, 2361, 814, 1114, 13164, 540, 4908, 269, 7869, 568, 1759, 593, 1382, 540, 6211, 4539, 540, 15088, 538, 3618, 11275, 14459, 269, 1250, 3069, 23083, 602, 519, 10785, 18347, 269, 21752, 540, 519, 10785, 269, 1763, 28585, 568, 519, 7613, 676, 799, 519, 21565, 568, 5123, 19526, 547, 1808, 9979, 269, 3047, 543, 824, 4541, 2014, 1360, 1950, 3159, 602, 30172, 538, 3047, 6419, 2361, 269, 594, 993, 849, 3981, 532, 602, 519, 23864, 512, 1872, 540, 519, 10785, 593, 519, 3905, 9362, 16290, 1369, 938, 11275, 14459, 786, 269, 28731, 2990, 540, 6129, 269, 711, 1152, 998, 6129, 2842, 269, 1306, 519, 3859, 4783, 13976, 909, 547, 513, 5021, 269, 898, 568, 1634, 602, 835, 4908, 568, 4448, 547, 9855, 1107, 3232, 16264, 6419, 8390, 269, 676, 1797, 540, 519, 23864, 512, 1872, 630, 16746, 547, 28040, 2787, 264, 540, 519, 10785, 593, 519, 3905, 9362, 538, 519, 6129, 269, 28800, 639, 543, 3026, 31337, 1852, 519, 4287, 540, 519, 12768, 21063, 20517, 1369, 519, 6129, 269, 634, 25122, 540, 519, 19341, 6419, 19215, 568, 5645, 593, 676, 519, 6090, 799, 621, 9100, 1080, 269, 4935, 519, 7158, 540, 519, 10785, 693, 4332, 616, 711, 19249, 1018, 649, 723, 15110, 16220, 855, 616, 21458, 938, 2596, 15110, 7209, 4162, 269, 1677, 2322, 713, 538, 811, 1808, 2474, 269, 14872, 2368, 10785, 6411, 2047, 593, 519, 3047, 5790, 269, 1404, 513, 851, 538, 519, 27200, 519, 6419, 2361, 540, 519, 3141, 269, 1317, 540, 16982, 269, 799, 5352, 519, 3859, 6419, 2361, 563, 339, 16936, 852, 269, 593, 8257, 585, 6138, 630, 1960, 274, 1040, 769, 476, 1220, 272, 593, 2160, 29813, 2548, 928, 4230, 6331, 518, 10906, 1855, 1170, 1512, 29846, 1912, 269, 5098, 827, 4230, 25233, 26381, 1108, 543, 269, 543, 538, 4279, 6628, 14492, 270, 14895, 6185, 2593, 22812, 1842, 7480, 4882, 6897, 270, 704, 1097, 572, 2096, 712, 272, 269, 1411, 666, 6432, 13513, 269, 689, 476, 15150, 274, 269, 769, 519, 3791, 26992, 3510, 4957, 269, 2449, 325, 337, 11258, 5291, 2517, 331, 3430, 6421, 269, 1686, 543, 12191, 540, 31826, 593, 2160, 538, 2098, 541, 6210, 5633, 269, 634, 1689, 540, 3621, 23381, 269, 7831, 31826, 3032, 1117, 6652, 941, 593, 2160, 538, 6428, 600, 4545, 320, 630, 8967, 664, 269, 689, 476, 1220, 273, 269, 4653, 972, 568, 22601, 543, 10790, 1353, 540, 31826, 593, 3223, 16980, 5441, 269, 4793, 29029, 2871, 514, 731, 29846, 1912, 269, 8330, 14347, 814, 1044, 1510, 4081, 27795, 585, 1896, 4627, 1296, 269, 7066, 526, 5170, 543, 31826, 7444, 855, 15983, 3587, 851, 540, 4081, 1158, 1586, 269, 4438, 25174, 31826, 729, 12341, 538, 2342, 1869, 851, 540, 6280, 3292, 269, 8050, 11258, 8940, 269, 476, 10082, 271, 264, 543, 538, 5125, 630, 514, 2473, 21197, 2540, 1040, 1354, 1200, 269, 476, 1240, 1547, 950, 10515, 1716, 16307, 5189, 927, 328, 12510, 878, 2856, 630, 5719, 7169, 756, 639, 2107, 321, 1756, 3213, 601, 652, 1756, 1040, 5098, 827, 31826, 543, 5033, 7821, 3820, 476, 272, 6185, 269, 9674, 31826, 689, 3621, 1158, 543, 5939, 269, 21206, 1344, 281, 8940, 269, 799, 13175, 1287, 563, 15228, 2513, 338, 540, 2098, 31821, 4191, 543, 10785, 1488, 625, 570, 19653, 26155, 7236, 9435, 24955, 5164, 2998, 8644, 571, 2480, 23705, 1470, 32371, 8636, 23581, 7167, 878, 1941, 13985, 23581, 623, 529, 806, 6129, 9855, 22358, 19026, 9370, 18347, 21275, 28800, 639, 3026, 31337, 32624, 476, 866, 4586, 8448, 3520, 24005, 2609, 14136, 1355, 932, 1241, 3345, 9855, 19219, 3162, 9855, 19219, 29062, 540, 30563, 9919, 637, 623, 23775, 966, 652, 320, 9947, 334, 29062, 540, 3344, 1230, 329, 4233, 11534, 3789, 12384, 2558, 710, 1530, 868, 850, 769, 935, 329, 4233, 476, 736, 12054, 328, 5498, 868, 850, 12054, 328, 30026, 4586, 19013, 269, 568, 1572, 9341, 31826, 543, 568, 7478, 558, 1227, 4652, 15903, 269, 543, 538, 19220, 540, 5312, 25412, 540, 9341, 31826, 593, 4639, 269, 28315, 11236, 596, 1224, 543, 4862, 616, 711, 2953, 269, 602, 568, 6140, 711, 3020, 269, 769, 938, 942, 19236, 7158, 538, 9341, 31826, 616, 3592, 476, 2190, 4113, 11234, 269, 521, 573, 699, 531, 6753, 616, 1031, 676, 4095, 31826, 630, 297, 344, 582, 880, 264, 543, 16264, 4457, 31826, 269, 31826, 540, 12353, 3520, 8113, 8554, 538, 2442, 17476, 269, 538, 14786, 543, 5907, 2923, 269, 476, 2641, 1547, 25613, 16040, 269, 4636, 2093, 3112, 7639, 585, 1279, 269, 1215, 568, 621, 2009, 602, 713, 2186, 540, 32623, 1674, 5949, 286, 634, 2626, 568, 519, 840, 20896, 540, 519, 1226, 514, 2135, 269, 28788, 699, 531, 31826, 21410, 19236, 543, 824, 2609, 7158, 538, 3520, 24005, 7478, 558, 1227, 811, 5730, 543, 2488, 1732, 2164, 269, 2201, 4639, 9341, 31826, 568, 3592, 9631, 30876, 6974, 269, 799, 10522, 602, 1152, 1004, 4535, 593, 519, 2063, 2395, 540, 10350, 540, 9341, 31826, 1129, 723, 519, 6129, 538, 713, 2098, 31821, 531, 1129, 269, 972, 568, 3395, 1297, 540, 4230, 6331, 619, 945, 10205, 621, 11053, 7211, 543, 521, 573, 699, 531, 31826, 1684, 596, 917, 1018, 568, 707, 4230, 6331, 545, 16938, 338, 793, 14872, 286, 898, 568, 4440, 707, 1101, 1702, 827, 31826, 269, 1411, 4440, 4362, 602, 707, 4230, 6331, 545, 1129, 20922, 6129, 4087, 593, 1554, 540, 707, 4332, 543, 2687, 547, 621, 596, 1336, 707, 2168, 543, 2618, 545, 4162, 269, 8330, 14347, 596, 616, 1031, 547, 269, 634, 6129, 540, 782, 1866, 568, 538, 519, 3105, 1129, 563, 307, 7211, 543, 521, 573, 699, 531, 6753, 540, 10785, 941, 519, 1482, 538, 476, 26326, 645, 269, 23427, 31826, 568, 1759, 593, 519, 16957, 6129, 18330, 1472, 519, 3047, 269, 3245, 3047, 621, 4667, 602, 6129, 538, 519, 1482, 1974, 1958, 597, 743, 539, 519, 17772, 328, 10364, 269, 621, 4667, 602, 3047, 568, 476, 2004, 2593, 270, 2515, 318, 1263, 269, 543, 3859, 11706, 269, 9721, 4230, 6331, 518, 269, 607, 649, 1294, 593, 519, 1985, 2985, 269, 543, 519, 1482, 7285, 1063, 519, 10785, 630, 553, 11072, 1040, 1260, 270, 770, 6331, 6359, 320, 11258, 5291, 2517, 2041, 6390, 10219, 271, 269, 3047, 2115, 476, 18458, 2395, 269, 476, 277, 3108, 269, 2918, 7643, 540, 18477, 29978, 2593, 21669, 638, 926, 836, 14766, 345, 770, 14347, 270, 573, 278, 21867, 8940, 269, 543, 621, 729, 851, 540, 741, 4984, 269, 2859, 1344, 827, 521, 573, 699, 531, 31826, 281, 8940, 269, 476, 4366, 3764, 543, 476, 5379, 7643, 7868, 840, 20896, 540, 519, 1226, 514, 2135, 634, 3047, 1958, 597, 3380, 6129, 585, 476, 30500, 2395, 269, 13562, 9593, 3220, 269, 1809, 952, 693, 519, 1439, 540, 9341, 1032, 649, 1413, 693, 519, 3047, 4087, 9236, 547, 6378, 6801, 630, 1721, 1383, 6378, 5182, 1975, 3821, 1040, 333, 739, 1042, 877, 269, 945, 15469, 521, 573, 699, 531, 31826, 538, 4639, 14492, 12458, 560, 14347, 270, 9080, 613, 295, 528, 24005, 6745, 8692, 617, 269, 942, 3017, 14687, 547, 476, 2004, 5861, 269, 723, 519, 1482, 1747, 906, 540, 18477, 4703, 538, 8075, 7456, 9200, 520, 777, 889, 14215, 269, 476, 280, 3764, 543, 476, 280, 21867, 8940, 11258, 476, 2420, 1547, 1280, 521, 573, 699, 531, 31826, 476, 271, 4113, 540, 1488, 625, 568, 2731, 476, 271, 4113, 540, 26424, 540, 1488, 625, 269, 2687, 547, 621, 476, 271, 4113, 540, 1488, 625, 568, 4087, 540, 6129, 1282, 519, 5614, 1226, 514, 2135, 269, 898, 568, 1572, 521, 573, 699, 531, 1032, 269, 901, 3586, 29472, 566, 540, 5614, 1226, 514, 2135, 568, 1572, 840, 20896, 540, 519, 1226, 514, 2135, 907, 476, 276, 3108, 269, 898, 568, 9341, 1032, 4732, 2869, 3770, 7666, 1938, 269, 898, 568, 476, 736, 3764, 3476, 982, 9341, 1032, 269, 16511, 725, 538, 4191, 616, 6140, 1114, 269, 9236, 547, 6378, 6801, 269, 276, 7643, 547, 2132, 593, 519, 1482, 2990, 5861, 269, 16380, 538, 476, 4968, 645, 269, 2918, 18477, 29978, 7178, 689, 3312, 2990, 269, 2918, 7643, 269, 3131, 1097, 1530, 2096, 712, 14659, 602, 21072, 6785, 840, 20896, 540, 1226, 514, 2135, 476, 6110, 271, 645, 269, 5462, 5614, 543, 15489, 1226, 514, 2135, 593, 519, 6129, 18330, 1472, 519, 3047, 269, 5375, 9341, 31826, 3085, 1406, 2015, 1689, 540, 6753, 540, 20035, 725, 269, 27009, 4230, 6331, 619, 593, 4639, 6140, 1810, 1406, 2015, 840, 20896, 540, 519, 1226, 514, 2135, 269, 898, 568, 1978, 602, 519, 1101, 20770, 1014, 3520, 8113, 8554, 941, 1500, 538, 521, 573, 699, 531, 2098, 31821, 5861, 269, 865, 930, 1377, 540, 2298, 538, 7664, 568, 2009, 269, 1924, 5614, 1226, 514, 2135, 630, 1492, 1747, 1141, 17772, 328, 10364, 22613, 18477, 20337, 264, 1169, 1032, 7575, 23651, 547, 2098, 31821, 585, 476, 2004, 269, 23427, 543, 521, 573, 699, 531, 2098, 31821, 2221, 269, 898, 2115, 5111, 476, 2918, 476, 1822, 1296, 585, 840, 20896, 547, 1118, 835, 5858, 269, 769, 30619, 2540, 621, 729, 7261, 22567, 674, 12298, 563, 527, 568, 2241, 543, 814, 8747, 585, 782, 1766, 894, 1949, 269, 596, 666, 4452, 782, 2556, 1239, 538, 3059, 1106, 1107, 18230, 9210, 31906, 529, 585, 476, 274, 476, 1822, 1296, 269, 1215, 547, 1118, 519, 3520, 24005, 609, 9210, 31906, 529, 543, 5600, 23959, 29626, 519, 3520, 24005, 609, 9210, 31906, 529, 543, 5600, 23959, 568, 851, 540, 1455, 4230, 25233, 1702, 269, 1284, 946, 1982, 8330, 6331, 476, 276, 269, 11711, 1107, 16440, 15873, 27084, 17990, 3520, 24005, 269, 2311, 519, 1439, 540, 519, 1433, 649, 2709, 15853, 269, 1280, 1239, 3403, 281, 27084, 1107, 5590, 15873, 27084, 630, 1103, 5384, 18630, 3403, 942, 3017, 1063, 519, 942, 538, 519, 2197, 543, 5682, 16049, 942, 269, 29093, 3091, 1114, 7399, 585, 8642, 8818, 269, 1773, 29403, 639, 5600, 23959, 543, 1279, 6421, 543, 4234, 6421, 540, 476, 2190, 1547, 609, 2780, 610, 1510, 621, 21867, 1215, 547, 1118, 519, 3520, 24005, 609, 2780, 20509, 4230, 549, 3301, 269, 29093, 1107, 12384, 24897, 2488, 2834, 9764, 3520, 24005, 1413, 269, 11711, 1107, 7179, 16493, 519, 3520, 24005, 269, 1403, 596, 2731, 1616, 547, 5173, 3520, 8113, 8554, 713, 1259, 269, 2412, 7456, 9200, 520, 777, 889, 14215, 269, 898, 3091, 6266, 540, 3318, 7399, 269, 14764, 568, 711, 2556, 269, 972, 616, 930, 3044, 942, 10851, 6035, 1040, 1677, 6467, 689, 9341, 547, 521, 573, 699, 531, 2098, 31821, 543, 13030, 17930, 281, 17553, 1107, 28788, 699, 531, 2098, 31821, 269, 811, 982, 2339, 540, 4052, 946, 269, 11711, 1107, 16440, 23994, 17990, 8642, 8818, 2687, 547, 707, 6492, 269, 519, 1655, 1863, 1982, 32289, 547, 1118, 519, 3520, 24005, 1411, 666, 4452, 782, 596, 991, 547, 1118, 519, 3520, 24005, 269, 689, 519, 1357, 3135, 281, 8940, 269, 3758, 269, 1215, 547, 946, 1982, 8330, 6331, 476, 276, 907, 1175, 2196, 608, 324, 269, 5358, 3091, 6266, 540, 824, 7399, 799, 596, 666, 2263, 593, 707, 1378, 1547, 1357, 4609, 543, 824, 4230, 549, 3292, 269, 2412, 2991, 15205, 538, 3965, 540, 707, 2780, 907 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 301, 22022, 835, 538, 476, 1428, 2043, 9907, 4557, 1296, 543, 1657, 729, 6534, 547, 5046, 268, 866, 676, 4864, 476, 1708, 271, 267, 2179, 532, 547, 606, 6059, 476, 10619, 269, 274, 2929, 5563, 267, 607, 829, 519, 2034, 3084, 1583, 657, 584, 3272, 5342, 676, 519, 4095, 7027, 540, 6481, 3194, 630, 2975, 17307, 1916, 257, 301, 22022, 5722, 2600, 540, 3127, 781, 2551, 9907, 4557, 543, 1657, 729, 6534, 547, 16568, 17336, 268, 273, 676, 4864, 267, 609, 519, 1583, 641, 516, 28700, 1373, 5207, 538, 4683, 1793, 636, 2127, 4553, 676, 4683, 1875, 1606, 331, 636, 543, 6917, 2127, 2437, 519, 4681, 7150, 563, 32513, 641, 516, 28700, 568, 519, 4908, 540, 2043, 538, 513, 2551, 609, 12489, 547, 513, 1880, 3644, 538, 741, 1973, 16796, 563, 6097, 547, 519, 1867, 3370, 538, 31102, 6820, 2657, 840, 268, 2745, 267, 519, 2949, 1583, 641, 516, 28700, 540, 2630, 476, 1015, 2600, 538, 3127, 6920, 513, 1804, 8167, 540, 519, 2551, 3788, 11630, 547, 3209, 11452, 3968, 563, 21761, 18542, 5999, 454, 288, 6669, 1568, 676, 13147, 10107, 513, 2067, 3968, 269, 589, 6669, 711, 1152, 28901, 4761, 3210, 547, 2149, 1004, 689, 1022, 2104, 5046, 268, 866, 3968, 267, 855, 849, 2337, 3533, 1628, 23636, 12046, 547, 2322, 606, 1439, 547, 519, 6855, 269, 4173, 323, 12046, 4386, 950, 513, 6190, 6871, 540, 513, 2551, 3587, 4761, 547, 513, 2068, 267, 1818, 519, 3262, 540, 2068, 689, 1268, 547, 1268, 12691, 269, 634, 1434, 3377, 568, 602, 16568, 17336, 268, 273, 3644, 814, 1044, 9425, 7123, 267, 799, 4679, 519, 23812, 540, 513, 6669, 563, 2467, 616, 17618, 2185, 2010, 540, 6669, 2443, 835, 267, 513, 6669, 1759, 593, 519, 2898, 3644, 630, 10472, 1223, 581, 2901, 30737, 17300, 267, 610, 606, 22887, 18050, 1496, 933, 2586, 539, 316, 3644, 6669, 5148, 1079, 267, 513, 1875, 3146, 2364, 908, 10194, 6152, 6669, 602, 3096, 513, 22480, 3644, 607, 6152, 602, 11438, 519, 18970, 540, 16568, 17336, 282, 1614, 267, 31332, 14092, 573, 10074, 602, 723, 4719, 1570, 899, 5027, 543, 10717, 540, 26898, 899, 21782, 3940, 2016, 547, 513, 1268, 267, 4543, 1480, 2281, 1232, 1712, 4719, 1570, 543, 3132, 519, 6669, 282, 543, 2185, 267, 3940, 1016, 22780, 6669, 13296, 519, 21921, 5364, 5946, 540, 16568, 4211, 10976, 268, 273, 2059, 609, 606, 7755, 340, 2779, 630, 2692, 8803, 264, 568, 2016, 607, 513, 6669, 563, 309, 3147, 710, 1646, 568, 513, 1279, 267, 1950, 1184, 269, 9521, 5061, 602, 616, 2016, 547, 1004, 609, 513, 30428, 267, 10074, 616, 2016, 547, 2635, 1004, 543, 849, 7925, 6810, 971, 607, 1453, 267, 9176, 2021, 543, 519, 11361, 269, 1924, 11826, 4255, 616, 25471, 269, 3778, 3081, 602, 519, 16595, 942, 621, 3576, 547, 1020, 513, 6669, 568, 2947, 1296, 267, 855, 621, 2356, 3217, 5595, 610, 3006, 17784, 602, 942, 563, 10454, 6771, 540, 3968, 568, 4397, 547, 3136, 538, 1034, 4095, 2829, 11489, 519, 23636, 12046, 12939, 568, 6913, 267, 2901, 676, 2067, 3968, 610, 12674, 269, 2755, 713, 12939, 568, 7164, 267, 1034, 9193, 1747, 621, 1657, 476, 2004, 829, 1298, 2437, 519, 1867, 1767, 563, 2005, 7150, 602, 835, 538, 8370, 2043, 945, 1705, 711, 1867, 1022, 5046, 268, 866, 5829, 2589, 538, 519, 2250, 1185, 519, 4527, 540, 16568, 17336, 268, 273, 16384, 294, 12489, 563, 26542, 268, 866, 28404, 13772, 281, 1548, 596, 991, 547, 917, 827, 5663, 543, 14499, 454, 763, 1583, 641, 516, 28700, 729, 2362, 538, 1793, 636, 2127, 540, 29180, 630, 276, 4281, 2600, 264, 3379, 547, 1875, 1606, 331, 636, 2127, 630, 14690, 2600, 1916, 4407, 2551, 5860, 13745, 609, 1164, 10688, 267, 543, 2591, 538, 2922, 26865, 543, 1688, 9882, 616, 519, 1292, 10256, 540, 519, 3262, 540, 3968, 538, 4683, 2127, 267, 2523, 4683, 1793, 4548, 267, 519, 4681, 540, 519, 1583, 657, 584, 3272, 849, 5815, 8101, 6771, 1851, 519, 6917, 2551, 1631, 267, 538, 4334, 547, 519, 1101, 5180, 267, 519, 1867, 7150, 563, 257, 9558, 3939, 786, 2333, 2417, 538, 891, 6917, 2127, 538, 519, 4947, 3275, 267, 25967, 1681, 519, 991, 585, 7598, 1875, 874, 1301, 11914, 7459, 607, 1134, 607, 14304, 3782, 6703, 585, 519, 2500, 2359, 540, 2665, 2437, 621, 1767, 563, 763, 1101, 18487, 1583, 657, 584, 3272, 538, 3127, 729, 5342, 538, 2904, 267, 950, 519, 3003, 2197, 729, 896, 22608, 27579, 267, 609, 519, 9868, 540, 19585, 11005, 538, 2127, 16363, 547, 581, 30194, 4299, 267, 543, 8612, 513, 1970, 9860, 540, 476, 271, 269, 10463, 2600, 1851, 519, 2489, 2937, 2551, 563, 263, 4415, 11378, 689, 623, 2316, 264, 12812, 1934, 585, 14559, 31553, 781, 2407, 3795, 540, 519, 5046, 268, 866, 12176, 0, 10673, 1406, 2913, 6215, 19276, 1284, 662, 1411, 13560, 454, 20228, 19276, 568, 519, 10859, 1606, 13521, 2339, 3812, 689, 1585, 4853, 3157, 1369, 519, 20848, 5823, 269, 769, 713, 2376, 267, 649, 1413, 693, 930, 540, 519, 2126, 3435, 602, 707, 3653, 8502, 1058, 581, 5356, 547, 707, 6703, 547, 1832, 707, 3790, 538, 2638, 563, 26794, 540, 6215, 19276, 9615, 454, 19931, 2126, 540, 31993, 2488, 15889, 2640, 585, 20848, 6703, 912, 268, 26805, 519, 4320, 540, 31993, 454, 268, 5589, 1478, 532, 1216, 585, 1761, 19074, 454, 268, 26805, 610, 16701, 21899, 519, 2404, 1072, 4220, 454, 268, 15783, 585, 2870, 606, 6694, 13226, 454, 268, 26805, 31993, 12871, 3790, 454, 20228, 19276, 9615, 22948, 454, 2467, 779, 513, 2647, 2039, 540, 2126, 3157, 602, 666, 2981, 1018, 729, 2899, 2808, 3274, 513, 3653, 6908, 883, 513, 3407, 4199, 269, 5871, 31993, 2126, 2409, 1331, 632, 22476, 267, 8143, 29230, 3974, 609, 6211, 2126, 267, 543, 1651, 514, 3130, 563, 20228, 19276, 2126, 4066, 267, 971, 607, 26103, 12536, 666, 11883, 609, 782, 5686, 540, 5214, 31993, 267, 4227, 519, 4320, 540, 3819, 2339, 543, 12366, 2358, 519, 2504, 540, 7791, 1979, 30757, 563, 763, 1079, 1292, 5301, 540, 31993, 632, 22476, 616, 3653, 6922, 1436, 543, 8236, 1942, 31931, 538, 12871, 269, 853, 8494, 1242, 31993, 666, 581, 17411, 811, 9108, 543, 1419, 814, 7864, 2404, 1072, 10898, 269, 2368, 1793, 644, 2471, 1287, 723, 1761, 585, 6225, 19074, 543, 666, 581, 2244, 4294, 563, 20228, 19276, 632, 22476, 3335, 6212, 593, 4227, 519, 2597, 543, 4320, 540, 519, 31993, 865, 602, 12871, 3790, 1107, 1519, 6283, 1107, 616, 6854, 547, 513, 5934, 269, 4826, 8851, 568, 519, 3119, 1797, 540, 4320, 5786, 1354, 31993, 3653, 666, 581, 5701, 610, 26356, 540, 538, 519, 1034, 22237, 6073, 563, 763, 1101, 1900, 602, 1022, 3653, 9614, 1058, 1628, 883, 31993, 3653, 2359, 568, 632, 22476, 267, 1354, 1022, 8708, 568, 688, 27968, 547, 513, 2126, 3135, 269, 901, 849, 5849, 602, 8708, 12035, 1810, 1406, 9765, 667, 5588, 7182, 269, 2659, 3653, 2359, 7649, 1058, 2015, 3435, 971, 607, 588, 1645, 11149, 585, 15018, 267, 543, 12035, 1058, 581, 8362, 16913, 547, 2061, 10220, 2152, 563, 21206, 632, 22476, 4066, 1331, 912, 268, 4400, 2604, 6882, 10296, 630, 18597, 27923, 264, 585, 31993, 1141, 519, 17571, 616, 26356, 540, 607, 513, 13818, 3653, 543, 519, 5207, 4320, 5786, 568, 5551, 269, 21277, 806, 513, 6882, 14735, 476, 2412, 268, 3583, 260, 17571, 676, 2597, 454, 268, 8899, 2604, 6882, 10296, 630, 1911, 27923, 264, 585, 1875, 3620, 1794, 731, 748, 1793, 644, 2471, 1141, 6283, 543, 12871, 610, 9657, 3790, 616, 711, 607, 1164, 607, 585, 13818, 3653, 12535, 269, 21277, 806, 513, 6882, 14735, 476, 1839, 268, 476, 2004, 260, 17571, 676, 2597, 454, 268, 2983, 558, 19830, 6951, 267, 585, 3156, 1141, 513, 1164, 4320, 540, 1216, 543, 1970, 4320, 540, 17571, 991, 547, 581, 3927, 5701, 971, 607, 912, 268, 4826, 19288, 2030, 15895, 338, 454, 268, 654, 770, 1168, 831, 15895, 338, 454, 268, 12891, 15895, 338, 454, 268, 5590, 339, 1782, 11432, 15895, 338, 454, 268, 2578, 22989, 525, 585, 522, 1176, 1793, 644, 2471, 1141, 3282, 6051, 568, 513, 10862, 543, 519, 15895, 17571, 616, 711, 513, 2101, 6161, 454, 268, 25028, 2046, 525, 1141, 513, 2362, 7509, 1543, 568, 11807, 538, 519, 6882, 14735, 630, 1240, 268, 1839, 260, 17571, 676, 2597, 994, 1103, 11142, 3130, 267, 610, 17904, 547, 6052, 630, 310, 339, 292, 264, 2371, 616, 3395, 538, 23146, 538, 519, 772, 2529, 269, 1703, 616, 1631, 476, 10436, 654, 339, 292, 6703, 538, 476, 1839, 2829, 269, 654, 339, 292, 2029, 568, 606, 1648, 6051, 1184, 602, 17838, 6464, 689, 3653, 22016, 883, 4052, 3029, 540, 1648, 899, 5201, 267, 3002, 610, 9252, 269, 1280, 31993, 2126, 267, 8143, 7503, 2553, 616, 519, 1034, 14323, 4781, 563, 1103, 11142, 3130, 1568, 811, 7561, 593, 31993, 952, 621, 814, 1044, 840, 2389, 8972, 676, 632, 22476, 269, 634, 8143, 2126, 1184, 1287, 12958, 7123, 543, 6691, 762, 676, 2472, 538, 519, 1106, 540, 11849, 543, 7452, 269, 12891, 666, 5732, 581, 1031, 538, 4155, 4070, 267, 6405, 2504, 610, 26809, 607, 606, 16931, 1570, 547, 25087, 563, 2026, 1034, 20848, 616, 1641, 547, 6940, 9072, 267, 654, 339, 292, 568, 606, 10694, 12871, 4781, 269, 3502, 1152, 1281, 621, 31818, 5230, 3653, 689, 25087, 267, 855, 2413, 654, 339, 292, 6703, 3132, 513, 7791, 1106, 540, 5201, 1247, 10451, 1079, 22188, 1447, 2910, 273, 3379, 547, 2757, 5755, 30187, 1379, 2371, 563, 2252, 707, 1870, 29349, 11536, 294, 8989, 267, 1287, 11651, 1154, 607, 1454, 3653, 607, 2009, 689, 25087, 568, 606, 1271, 1900, 547, 1118, 269, 22732, 532, 519, 10278, 540, 707, 3653, 547, 513, 654, 339, 292, 9744, 2864, 982, 513, 25087, 3135, 3340, 1100, 27327, 547, 606, 3919, 779, 3653, 4238, 267, 543, 607, 971, 666, 1118, 606, 31302, 1764, 7258, 824, 4199, 6922, 1436, 2994, 563, 8489, 654, 339, 292, 2371, 616, 2139, 267, 513, 931, 2615, 1190, 3653, 2359, 8502, 786, 2697, 519, 688, 592, 619, 602, 616, 2111, 547, 6494, 519, 6574, 8167, 540, 707, 3653, 547, 891, 6703, 269, 1677, 1491, 5413, 540, 713, 4316, 267, 7446, 513, 3653, 8502, 945, 568, 989, 333, 8251, 547, 12871, 4609, 568, 1883, 269, 589, 3653, 2359, 8502, 945, 814, 1100, 30901, 547, 12871, 4609, 786, 581, 811, 8348, 547, 6494, 707, 3653, 547, 4609, 602, 11694, 707, 6940, 3853, 2864, 982, 1018, 568, 1034, 29988, 585, 519, 11346, 563, 2690, 20848, 547, 3035, 513, 811, 4264, 4199, 6051, 543, 547, 2569, 741, 2949, 3327, 11640, 267, 5214, 1793, 644, 2471, 666, 581, 5701, 538, 606, 26103, 12536, 630, 4696, 264, 9744, 563, 2304, 320, 21740, 12536, 568, 519, 6211, 12159, 540, 5214, 2339, 267, 538, 519, 9000, 540, 5135, 269, 634, 1184, 17838, 519, 3114, 1648, 6740, 1369, 5214, 3327, 547, 1979, 30757, 630, 332, 996, 2033, 1070, 602, 666, 581, 12318, 539, 547, 5352, 1648, 269, 634, 1184, 849, 5932, 513, 5277, 676, 1790, 6055, 267, 6382, 1634, 607, 7558, 622, 267, 602, 568, 1164, 538, 5567, 543, 666, 581, 1031, 607, 513, 7693, 13226, 543, 3037, 2573, 22083, 563, 25802, 1906, 3653, 2359, 3549, 7500, 5084, 6703, 267, 543, 1131, 3079, 3343, 547, 1184, 707, 5214, 31993, 3653, 1210, 1447, 4264, 16097, 269, 715, 23354, 814, 3347, 609, 4830, 688, 592, 619, 945, 1810, 1406, 1378, 25087, 4609, 543, 865, 616, 1863, 547, 688, 592, 707, 3653, 2326, 547, 627, 31295, 2126, 9744, 568, 1655, 14018, 547, 707, 3653, 6908, 269, 3776, 4966, 786, 2689, 519, 23812, 540, 5084, 585, 707, 1793, 644, 2471, 543, 1287, 2708, 519, 8244, 540, 5084, 2371, 1472, 707, 6703, 269, 1403, 6703, 616, 2139, 267, 649, 3580, 2707, 513, 688, 17526, 945, 568, 2111, 547, 3560, 547, 873, 563, 307, 615, 7356, 29230, 3974, 21739, 2242, 519, 3601, 540, 31993, 676, 8022, 621, 547, 811, 982, 476, 4968, 13790, 269, 769, 3257, 865, 267, 621, 10607, 1216, 10868, 1761, 267, 4679, 1979, 30757, 2504, 267, 543, 24506, 5665, 3790, 563, 20228, 19276, 666, 7985, 689, 2527, 20675, 2536, 7687, 267, 799, 3500, 1524, 519, 2557, 693, 799, 1979, 30757, 568, 3812, 269, 634, 1419, 3766, 601, 11294, 748, 2470, 540, 519, 1570, 849, 1797, 602, 621, 25601, 811, 1216, 267, 12145, 519, 1761, 585, 1216, 10868, 267, 799, 568, 2877, 585, 3608, 946, 610, 4393, 540, 519, 1439, 19777, 565, 1749, 1587, 563, 3528, 21006, 891, 15074, 11294, 748, 2326, 267, 8143, 29230, 3974, 10607, 519, 2773, 540, 1312, 12536, 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 ]
[ 547, 3717, 540, 269, 634, 6132, 2380, 262, 2534, 543, 741, 7145, 616, 1360, 8200, 593, 519, 4365, 910, 519, 2481, 704, 621, 568, 519, 811, 7561, 789, 666, 2736, 909, 519, 4224, 269, 3371, 538, 700, 11961, 541, 1774, 267, 1498, 267, 972, 568, 1360, 2370, 4764, 910, 1447, 982, 476, 1220, 1984, 4106, 637, 513, 1032, 910, 543, 865, 519, 7004, 540, 519, 4224, 568, 513, 3500, 1184, 269, 901, 568, 4010, 519, 3942, 799, 700, 11961, 541, 1774, 781, 15027, 5251, 568, 538, 1631, 910, 519, 3500, 23009, 2670, 540, 519, 23419, 910, 543, 538, 1896, 4627, 610, 8536, 1296, 519, 5394, 15790, 1115, 540, 6132, 1156, 786, 5051, 2285, 1259, 547, 15466, 2371, 563, 15239, 11383, 267, 972, 616, 513, 1906, 3020, 15000, 1851, 519, 2030, 1158, 267, 14762, 593, 23419, 543, 11849, 5103, 519, 3592, 2347, 3668, 540, 1216, 563, 1103, 519, 7033, 534, 325, 11535, 6288, 972, 616, 936, 476, 1220, 2030, 2249, 267, 1034, 540, 799, 616, 1336, 593, 519, 568, 331, 4925, 267, 607, 972, 568, 513, 1134, 2919, 4494, 540, 1283, 31542, 972, 1813, 547, 741, 2085, 269, 589, 1804, 1297, 540, 891, 2249, 616, 21049, 267, 538, 824, 1913, 741, 2067, 7226, 568, 1360, 11658, 281, 3670, 2249, 2291, 1152, 1934, 593, 700, 11961, 541, 1774, 267, 5722, 1152, 593, 17540, 518, 974, 1203, 3120, 267, 12964, 593, 782, 519, 2052, 776, 11866, 543, 2185, 2066, 5839, 541, 2158, 807, 269, 901, 568, 519, 3148, 8720, 519, 10195, 540, 519, 10897, 2803, 267, 17214, 4275, 267, 519, 14205, 720, 11866, 267, 15729, 7638, 1372, 267, 543, 540, 1576, 519, 2052, 2456, 563, 763, 9157, 2175, 910, 1360, 2370, 1216, 610, 1426, 543, 1164, 5210, 910, 849, 1118, 621, 2352, 585, 2831, 547, 7639, 538, 7033, 534, 325, 11535, 269, 1703, 616, 1152, 1614, 2249, 540, 25850, 281, 17544, 630, 302, 787, 551, 565, 27534, 524, 684, 10306, 639, 1070, 14148, 630, 305, 3430, 639, 678, 3430, 639, 1070, 543, 519, 2052, 776, 695, 4319, 834, 16443, 4673, 29823, 2052, 7559, 257, 630, 290, 10635, 573, 3120, 666, 926, 18424, 1070, 543, 1079, 2249, 540, 16277, 850, 281, 519, 9533, 561, 19123, 630, 294, 718, 582, 807, 693, 331, 656, 3821, 264, 543, 519, 5101, 2052, 776, 2520, 1188, 334, 630, 288, 1370, 7637, 2587, 755, 14939, 529, 1040, 2201, 519, 824, 1688, 267, 29068, 616, 1134, 6719, 267, 5097, 7786, 543, 20151, 269, 1703, 616, 513, 31417, 476, 6344, 2249, 540, 873, 267, 1082, 540, 799, 723, 9862, 5393, 1134, 547, 519, 8966, 2175, 563, 20755, 534, 325, 11535, 568, 849, 519, 7226, 540, 3875, 2249, 540, 5017, 267, 543, 1317, 540, 922, 4087, 630, 3286, 476, 10219, 21240, 689, 519, 3979, 11782, 264, 513, 16889, 1747, 585, 1082, 27436, 5017, 29400, 519, 4411, 3864, 24475, 269, 476, 2420, 2249, 7670, 5793, 538, 519, 7033, 534, 325, 11535, 6288, 543, 476, 736, 2965, 9566, 972, 269, 769, 1880, 267, 519, 2817, 5244, 781, 1279, 267, 9678, 23795, 2488, 3501, 9960, 2175, 585, 4262, 5017, 267, 585, 1383, 267, 595, 800, 781, 19852, 31662, 630, 9773, 517, 624, 5142, 1019, 15701, 20660, 1070, 4620, 14843, 630, 31624, 4546, 807, 4439, 4546, 4512, 264, 543, 540, 1576, 694, 698, 1638, 338, 630, 299, 22654, 2415, 550, 9850, 1040, 5565, 2249, 540, 23881, 935, 2661, 538, 519, 6288, 630, 1492, 1455, 737, 652, 7758, 267, 24415, 1723, 512, 4883, 684, 1529, 639, 267, 543, 519, 15016, 776, 23881, 935, 267, 24415, 1723, 890, 5586, 12541, 32403, 1070, 972, 616, 28561, 31450, 630, 307, 344, 1729, 620, 9346, 1070, 3165, 32608, 630, 303, 663, 542, 10300, 807, 28127, 1070, 986, 26223, 630, 17357, 341, 639, 1351, 1314, 1070, 15016, 776, 851, 16466, 630, 288, 937, 528, 529, 3046, 321, 4673, 264, 543, 1082, 1866, 563, 10376, 5117, 513, 1158, 540, 922, 1378, 454, 299, 11961, 541, 1774, 781, 22747, 666, 581, 5258, 883, 1114, 8134, 267, 1142, 2348, 922, 1378, 2027, 4162, 281, 519, 2487, 23419, 23617, 267, 4646, 676, 519, 26706, 540, 476, 15876, 271, 547, 476, 15876, 277, 543, 538, 476, 9264, 275, 267, 519, 568, 331, 4925, 910, 2025, 2244, 799, 23012, 519, 2360, 540, 519, 26706, 267, 543, 519, 23572, 543, 15027, 25310, 267, 12077, 3388, 799, 568, 11895, 563, 30812, 1431, 593, 519, 5032, 616, 1114, 1586, 689, 1346, 24654, 267, 1373, 9244, 6766, 676, 1216, 543, 519, 2842, 269, 901, 7226, 568, 4998, 585, 10300, 2684, 3796, 910, 7103, 799, 8853, 538, 513, 30644, 1604, 563, 763, 4262, 568, 849, 606, 1271, 851, 540, 519, 2817, 5244, 269, 1703, 616, 1614, 2188, 799, 723, 1880, 4644, 538, 519, 2052, 776, 6816, 3148, 281, 519, 16133, 540, 4000, 267, 7506, 689, 7013, 2342, 543, 519, 11335, 1858, 267, 543, 519, 5266, 4411, 2052, 776, 7351, 799, 8928, 2250, 519, 10195, 269, 634, 4262, 799, 568, 1369, 519, 1858, 540, 519, 2817, 5244, 568, 31523, 609, 1272, 281, 972, 616, 476, 6795, 2249, 540, 3165, 267, 476, 6344, 29068, 543, 476, 10755, 2249, 540, 7286, 2371, 563, 14106, 1746, 519, 7033, 534, 325, 11535, 2817, 5244, 454, 290, 4040, 689, 519, 5087, 267, 1256, 1354, 596, 4283, 519, 5244, 3294, 267, 596, 786, 2097, 547, 519, 21233, 8998, 910, 519, 834, 1417, 549, 632, 3643, 656, 525, 552, 4612, 24265, 2580, 1141, 972, 568, 513, 8628, 14266, 827, 519, 2817, 5244, 267, 609, 6266, 540, 2312, 3137, 540, 8979, 1143, 267, 23419, 267, 519, 1686, 540, 519, 3148, 267, 922, 9249, 267, 3092, 269, 1411, 666, 1294, 17245, 8874, 543, 1256, 4585, 513, 11191, 540, 513, 15027, 20349, 269, 634, 21233, 8998, 568, 1930, 1169, 1554, 689, 476, 280, 993, 547, 476, 276, 10681, 543, 16075, 568, 1863, 269, 1411, 786, 849, 1265, 519, 5244, 10274, 1934, 267, 543, 666, 1433, 513, 11461, 3802, 267, 519, 834, 305, 25917, 632, 7066, 6996, 3570, 2668, 901, 3802, 568, 2356, 6035, 1614, 2053, 513, 3018, 585, 1507, 2516, 543, 2016, 538, 5053, 610, 2296, 269, 2201, 519, 1614, 5662, 4663, 596, 723, 519, 4960, 547, 1294, 15027, 8916, 909, 2673, 543, 1265, 856, 7899, 540, 3730, 1344, 269, 898, 781, 4502, 1433, 532, 1896, 4374, 538, 4434, 952, 596, 2811, 5461, 267, 607, 519, 3908, 1297, 540, 4025, 4422, 1360, 3533, 269, 1411, 666, 1433, 519, 4663, 1152, 2228, 593, 519, 3896, 540, 519, 7033, 534, 325, 11535, 2817, 5244, 8940, 269, 637, 969, 553, 1706, 13196, 333, 659, 1308, 525, 269, 525, 1403, 596, 991, 1022, 948, 6049, 476, 19740, 275, 268, 280, 2764, 476, 14093, 476, 271, 5655, 563, 5629, 513, 3923, 267, 519, 10274, 849, 2932, 513, 9381, 30382, 267, 519, 834, 305, 25917, 1642, 700, 3218, 531, 2668, 1717, 267, 596, 1810, 1406, 991, 547, 979, 609, 513, 3391, 547, 798, 713, 3802, 267, 7429, 519, 7066, 6996, 3570, 13009, 269, 634, 9381, 31939, 568, 607, 4190, 607, 621, 568, 14053, 910, 621, 6227, 8370, 21240, 267, 2921, 1472, 2947, 3108, 267, 936, 9157, 267, 27726, 513, 320, 23419, 910, 543, 782, 538, 1360, 3905, 4365, 543, 1419, 538, 2178, 12798, 269, 898, 781, 9090, 19624, 547, 3142, 3141, 8645, 267, 513, 11058, 543, 7899, 540, 1216, 267, 2059, 609, 1945, 1769, 547, 3548, 269, 6176, 568, 2139, 693, 519, 21233, 8998, 610, 593, 519, 1297, 2016, 1657, 563, 5278, 21240, 547, 519, 5045, 540, 519, 7033, 534, 325, 11535, 21233, 8998, 568, 519, 834, 307, 16619, 632, 9980, 2784, 320, 257, 910, 519, 13675, 547, 519, 2295, 540, 519, 834, 300, 2632, 320, 10722, 553, 1642, 674, 826, 2998, 257, 2817, 5244, 269, 1703, 781, 606, 16075, 5279, 1934, 540, 24843, 476, 279, 267, 543, 1287, 596, 666, 5397, 827, 1776, 9481, 516, 547, 519, 834, 3674, 331, 1774, 1642, 23664, 9222, 2668, 589, 3643, 547, 595, 15530, 541, 2494, 686, 4302, 781, 834, 27916, 4768, 14397, 1642, 4144, 32631, 257, 568, 1360, 26656, 267, 855, 519, 1483, 16007, 909, 1934, 2501, 538, 519, 3337, 540, 700, 11961, 541, 1774, 781, 24232, 1225, 3930, 885, 269, 14464, 2520, 903, 619, 9496, 1216, 15432, 909, 883, 519, 2011, 282, 3819, 15118, 23803, 26965, 538, 513, 8559, 31380, 12318, 267, 543, 5779, 568, 1989, 2683, 593, 519, 3002, 4947, 909, 689, 519, 3618, 269, 2311, 513, 3178, 540, 12964, 15432, 11895, 5210, 666, 3914, 476, 7785, 5232, 1298, 580, 8565, 538, 4025, 563, 763, 570, 16619, 632, 9980, 2784, 334, 16075, 19044, 1303, 527, 956, 596, 547, 1491, 835, 540, 519, 5244, 781, 21772, 593, 519, 834, 305, 25917, 632, 17485, 26439, 525, 257, 910, 1100, 835, 568, 4847, 547, 1491, 741, 1378, 1286, 1318, 883, 519, 5244, 1022, 811, 269, 634, 21772, 979, 827, 1169, 476, 736, 3764, 267, 519, 4663, 998, 519, 1292, 4609, 1141, 519, 26706, 3576, 1747, 689, 476, 15876, 271, 547, 476, 15876, 277, 3217, 513, 1434, 3368, 5662, 543, 568, 513, 1483, 1995, 267, 1256, 952, 972, 781, 513, 6885, 1063, 596, 543, 519, 29278, 3544, 563, 4517, 2063, 855, 711, 2547, 267, 952, 596, 979, 2417, 547, 519, 5045, 267, 16172, 1354, 962, 320, 21289, 972, 568, 519, 834, 292, 577, 611, 3266, 632, 17485, 6682, 749, 657, 257, 910, 513, 1507, 9754, 609, 1344, 585, 8436, 267, 543, 585, 513, 1906, 20789, 338, 596, 666, 723, 513, 2110, 11878, 593, 513, 546, 668, 539, 776, 563, 2662, 31295, 540, 891, 2934, 1034, 22587, 547, 596, 267, 596, 3274, 1590, 711, 4734, 700, 11961, 541, 1774, 1510, 9683, 519, 7033, 534, 325, 11535, 2817, 5244, 910, 972, 781, 1256, 513, 6031, 281, 952, 596, 10093, 1405, 1044, 547, 519, 7033, 534, 325, 11535, 267, 596, 10093, 1405, 1044, 547, 700, 11961, 541, 1774, 563, 1692, 519, 9605, 15142, 2968, 513, 2817, 5244, 454, 1103, 476, 3192, 274, 267, 21280, 2946, 10548, 6403, 30959, 267, 1287, 5518, 540, 519, 6816, 2229, 267, 4607, 513, 2022, 15258, 689, 513, 3084, 6288, 538, 1715, 6792, 538, 519, 7330, 269, 634, 2022, 15258, 3182, 3293, 513, 15027, 5251, 1360, 2147, 547, 602, 540, 700, 11961, 541, 1774, 269, 10548, 790, 345, 729, 24330, 267, 543, 16668, 930, 19320, 281, 1018, 952, 519, 9605, 15142, 941, 849, 11292, 2817, 5244, 4567, 888, 4263, 713, 942, 267, 1134, 8153, 14789, 971, 607, 595, 15530, 541, 2494, 686, 4302, 543, 20908, 14243, 338, 590, 9369, 941, 2324, 593, 519, 6532, 267, 543, 10548, 790, 345, 6785, 646, 1223, 1293, 593, 741, 1489, 269, 1358, 8678, 4229, 538, 741, 19915, 547, 723, 700, 11961, 541, 1774, 781, 15027, 3148, 10294, 513, 3084, 6288, 269, 11660, 1382, 729, 20827, 267, 25759, 602, 519, 2067, 6724, 540, 519, 15027, 3148, 941, 2189, 543, 964, 6326, 540, 4027, 269, 1656, 865, 621, 729, 602, 593, 476, 280, 628, 4864, 476, 3192, 275, 267, 519, 9605, 15142, 941, 3773, 547, 519, 1592, 540, 5053, 3084, 11614, 676, 7464, 28206, 1729, 630, 305, 5819, 5463, 872, 264, 1297, 476, 28360, 276, 270, 10619, 269, 634, 2817, 5244, 729, 556, 2275, 1538, 528, 2213, 676, 519, 2274, 344, 630, 18721, 264, 540, 476, 277, 270, 2735, 272, 267, 799, 729, 538, 2490, 9168, 676, 519, 2274, 344, 540, 476, 275, 270, 2735, 280, 269, 7464, 28206, 1729, 476, 14341, 272, 270, 1960, 271, 6368, 1305, 856, 519, 834, 23945, 681, 10725, 632, 772, 810, 586, 717, 3878, 257, 630, 1492, 2244, 946, 543, 2359, 1544, 1916, 9213, 519, 7033, 534, 325, 11535, 2817, 5244, 568, 849, 513, 851, 540, 20648, 781, 3060, 540, 1979, 14459, 14425, 630, 1960, 274, 264, 543, 729, 849, 10294, 513, 2098, 292, 5183, 6177, 25113, 630, 313, 7431, 10507, 2133, 16948, 3288, 26287, 764, 18059, 632, 589, 1407, 267, 476, 1960, 275, 264, 607, 851, 540, 519, 3864, 5742, 781, 14844, 3120, 476, 1220, 271, 5859, 563, 8253, 15868, 538, 519, 2817, 5244, 912, 310, 22736, 610, 6117, 538, 519, 6288, 4849, 593, 519, 9897, 543, 10092, 3177, 563, 1805, 25891, 610, 18736, 6472, 4849, 538, 21248, 2127, 563, 295, 2863, 532, 540, 1022, 2186, 610, 8744, 32205, 883, 519, 5244, 563, 8624, 22162, 2371, 267, 2831, 610, 7725, 563, 22025, 268, 3128, 532, 610, 1022, 824, 9205, 23242, 2238, 563, 8196, 540, 1164, 4320, 3280, 3937, 610, 19251, 7469, 2158, 563, 21982, 11147, 610, 1818, 8874, 610, 7044, 585, 3318, 5301, 269, 7981, 2278, 5314, 547, 798, 865, 666, 581, 4294, 585, 693, 519, 2817, 5244, 5604, 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 ]
[ 519, 1007, 4884, 10689, 729, 6131, 593, 4864, 476, 1556, 267, 476, 4572, 279, 269, 3683, 476, 276, 267, 1822, 7264, 13984, 519, 1930, 2777, 269, 634, 1985, 3923, 267, 593, 5181, 476, 2420, 267, 476, 4572, 279, 267, 519, 1007, 5101, 670, 13273, 7732, 729, 8118, 543, 6131, 563, 13328, 2782, 4083, 4718, 1082, 2367, 689, 5101, 670, 13273, 2469, 18246, 269, 26062, 21144, 540, 873, 5747, 538, 519, 2112, 563, 5475, 2622, 2782, 4083, 267, 5101, 670, 13273, 28322, 689, 3885, 3001, 856, 540, 1804, 4872, 883, 519, 6917, 2127, 269, 634, 2551, 540, 5101, 670, 13273, 5176, 23060, 689, 519, 1439, 540, 519, 2112, 547, 476, 3422, 271, 269, 634, 2551, 2333, 729, 849, 19443, 676, 519, 2679, 540, 3955, 8063, 476, 4817, 998, 519, 4099, 540, 4884, 538, 476, 4198, 272, 563, 763, 10476, 2782, 729, 2186, 547, 5101, 670, 13273, 269, 700, 766, 11283, 531, 9400, 808, 269, 26728, 2583, 7288, 267, 2475, 10157, 267, 729, 519, 1152, 5101, 670, 13273, 13680, 1399, 540, 713, 2112, 563, 29209, 10685, 8637, 543, 3728, 1426, 23471, 2478, 3323, 547, 1628, 19093, 593, 1312, 772, 2529, 269, 476, 272, 543, 3557, 27953, 476, 3199, 538, 519, 476, 3422, 271, 338, 543, 476, 3192, 271, 338, 269, 634, 25708, 1858, 4682, 998, 556, 23923, 618, 538, 519, 476, 3192, 271, 338, 799, 4718, 519, 5101, 670, 13273, 26864, 3710, 269, 9473, 7631, 1756, 338, 941, 3710, 538, 519, 4741, 543, 16737, 517, 6810, 269, 634, 4884, 3773, 922, 26465, 545, 13216, 267, 513, 1007, 10977, 7535, 547, 519, 4400, 3427, 269, 634, 1007, 5101, 670, 13273, 17318, 10361, 18392, 729, 8737, 538, 476, 3192, 274, 563, 763, 25708, 1858, 568, 18460, 1776, 556, 23923, 618, 4674, 602, 3323, 538, 476, 1220, 275, 269, 634, 1788, 786, 2981, 519, 25708, 1858, 689, 519, 476, 3192, 271, 338, 2749, 1413, 1394, 547, 513, 1413, 540, 606, 2025, 1715, 4789, 4884, 267, 609, 1974, 8654, 543, 15839, 2427, 19789, 802, 563, 4002, 4728, 476, 1626, 267, 476, 1220, 280, 267, 519, 4884, 3357, 547, 606, 6876, 609, 15231, 1715, 670, 13273, 936, 519, 2104, 540, 570, 15634, 268, 6124, 670, 13273, 13636, 23076, 267, 799, 2269, 9536, 956, 519, 10465, 1063, 519, 1079, 25772, 267, 10678, 936, 476, 2412, 1296, 540, 1193, 1057, 563, 10481, 2762, 543, 2916, 454, 6097, 547, 519, 2136, 2276, 17227, 13163, 267, 519, 4884, 814, 513, 2698, 1858, 540, 476, 1724, 269, 275, 4009, 5195, 630, 4097, 269, 279, 5998, 11054, 1040, 476, 1321, 269, 274, 4009, 5195, 630, 4029, 269, 279, 5998, 11054, 264, 540, 621, 568, 2244, 543, 476, 272, 269, 272, 4009, 5195, 630, 274, 269, 5400, 5998, 11054, 264, 540, 621, 630, 279, 269, 6872, 8472, 568, 1216, 269, 5101, 670, 13273, 849, 598, 520, 1231, 853, 3415, 6816, 267, 5111, 476, 32133, 18126, 630, 7785, 544, 264, 689, 5101, 670, 13273, 16011, 16047, 538, 7043, 6816, 14675, 563, 2252, 835, 941, 547, 1413, 693, 5101, 670, 13273, 593, 513, 4786, 267, 621, 568, 26339, 982, 621, 568, 2647, 269, 898, 568, 536, 23912, 593, 519, 5045, 676, 7043, 6816, 14675, 267, 593, 519, 7178, 676, 1715, 670, 13273, 267, 21086, 267, 593, 519, 5087, 676, 3345, 670, 13273, 267, 21086, 543, 593, 519, 7532, 676, 645, 3757, 5112, 267, 21086, 267, 8235, 6428, 2023, 560, 718, 543, 3345, 645, 3757, 5112, 267, 21086, 269, 5101, 670, 13273, 8843, 609, 1715, 670, 13273, 519, 2244, 10362, 547, 2199, 570, 15634, 268, 6124, 670, 13273, 23076, 543, 2353, 532, 17341, 717, 6504, 6092, 563, 7628, 519, 19232, 32223, 16527, 267, 476, 14596, 547, 476, 7742, 2929, 1296, 3516, 1070, 1896, 10824, 2458, 3660, 547, 1106, 519, 9649, 2706, 11782, 1572, 623, 836, 2801, 320, 269, 5101, 670, 13273, 729, 4092, 538, 519, 1647, 540, 713, 16580, 543, 519, 2164, 666, 581, 2938, 2221, 609, 519, 11634, 1235, 267, 575, 928, 1170, 525, 543, 11491, 2572, 799, 616, 6534, 563, 2691, 623, 836, 2801, 320, 729, 7745, 909, 267, 1282, 519, 10222, 26226, 543, 30083, 26226, 11270, 338, 267, 15027, 2534, 7018, 267, 7263, 1746, 1666, 5306, 610, 15972, 4224, 269, 32495, 1389, 666, 1869, 581, 5433, 538, 519, 1858, 269, 769, 5130, 476, 1220, 272, 519, 1858, 729, 4224, 539, 676, 606, 13091, 23608, 538, 23885, 267, 21086, 563, 2005, 568, 6059, 602, 21086, 729, 4988, 676, 22260, 693, 2547, 1079, 2053, 269, 634, 2063, 30961, 568, 6059, 547, 581, 476, 272, 267, 8517, 3952, 630, 20862, 544, 264, 5394, 538, 519, 1715, 670, 13273, 267, 21086, 1858, 269, 476, 2420, 267, 1822, 1296, 3516, 267, 519, 27224, 6410, 5045, 267, 2144, 5317, 10239, 543, 14593, 998, 5101, 670, 13273, 543, 7263, 1746, 1804, 5666, 540, 27224, 11489, 547, 1106, 7043, 6816, 269, 476, 1691, 267, 1822, 1296, 3516, 519, 27224, 1427, 8972, 543, 8032, 519, 23795, 267, 4646, 7043, 6816, 14675, 543, 2813, 8235, 6428, 2023, 560, 718, 269, 898, 849, 20024, 30961, 11489, 267, 3037, 267, 5070, 267, 7725, 543, 536, 746, 619, 602, 519, 4672, 5645, 5045, 689, 519, 5087, 563, 763, 5032, 568, 5097, 4988, 575, 928, 1170, 4224, 630, 10175, 25342, 1070, 11634, 626, 543, 21247, 924, 543, 568, 851, 540, 519, 9381, 9386, 269, 634, 6967, 6810, 616, 851, 540, 519, 6239, 9503, 543, 616, 4988, 609, 804, 2880, 24348, 4224, 630, 1042, 321, 2644, 267, 598, 6921, 558, 4733, 267, 32498, 267, 6960, 7723, 543, 32549, 1040, 901, 2571, 2627, 814, 1044, 759, 539, 574, 6839, 539, 676, 513, 1297, 540, 17160, 267, 1818, 519, 3037, 2571, 543, 15417, 543, 4998, 585, 3484, 2244, 563, 31342, 7723, 267, 513, 24348, 4224, 602, 2144, 3941, 3362, 267, 729, 3362, 25653, 883, 676, 22260, 543, 20077, 856, 1082, 12647, 543, 23898, 269, 634, 1858, 4478, 10787, 916, 5211, 543, 8235, 6428, 2023, 560, 718, 593, 519, 5101, 670, 13273, 543, 645, 3757, 5112, 8473, 568, 606, 1383, 540, 713, 269, 634, 6960, 7723, 602, 1705, 711, 2144, 1712, 729, 1031, 585, 2679, 13210, 543, 4224, 31966, 1336, 2429, 1715, 4789, 563, 12831, 657, 1080, 540, 1666, 5306, 630, 331, 6072, 2095, 264, 666, 581, 1336, 538, 519, 5087, 543, 22583, 6810, 540, 5101, 670, 13273, 269, 11153, 844, 1551, 625, 666, 581, 1336, 538, 713, 1858, 269, 570, 1905, 13702, 630, 21353, 5306, 264, 568, 5828, 883, 16760, 6149, 269, 898, 568, 5097, 1031, 538, 4070, 543, 519, 538, 519, 28945, 540, 9897, 269, 9995, 543, 18574, 689, 30961, 11489, 568, 519, 2034, 1034, 19311, 29170, 3072, 4224, 269, 1358, 616, 1031, 607, 6445, 267, 538, 6405, 267, 682, 778, 4610, 610, 585, 4155, 5070, 563, 2304, 7769, 543, 2371, 454, 2691, 623, 836, 2801, 320, 729, 7745, 909, 267, 5101, 670, 13273, 1185, 7733, 269, 20550, 14795, 267, 20641, 543, 11864, 887, 3139, 519, 1858, 269, 20550, 13239, 3950, 2081, 267, 899, 1346, 1336, 538, 27743, 10830, 267, 21086, 693, 519, 20550, 13239, 3557, 5244, 941, 5063, 1336, 693, 513, 4070, 3135, 2282, 8235, 6428, 2023, 560, 718, 269, 634, 13475, 941, 1500, 676, 661, 889, 3224, 525, 269, 26187, 2812, 540, 10222, 26226, 1974, 16277, 850, 723, 1044, 1336, 538, 519, 1858, 269, 853, 1122, 558, 639, 267, 729, 4988, 609, 24915, 10824, 543, 6743, 2147, 547, 606, 6186, 611, 21034, 563, 9213, 267, 5101, 670, 13273, 568, 6140, 4988, 609, 3376, 29566, 267, 2182, 6229, 4054, 269, 1703, 616, 513, 1906, 598, 11717, 630, 1197, 13582, 264, 7733, 267, 6140, 1472, 8235, 6428, 2023, 560, 718, 269, 17865, 23047, 1127, 616, 4092, 538, 2127, 1472, 7043, 6816, 14675, 563, 291, 514, 14795, 723, 1044, 8719, 609, 13650, 267, 31352, 1774, 267, 29160, 267, 16541, 267, 13863, 332, 16218, 543, 15529, 269, 717, 6621, 15315, 666, 581, 1336, 538, 519, 1858, 269, 623, 515, 553, 1218, 267, 1423, 572, 267, 26414, 543, 3552, 21429, 666, 581, 1336, 538, 5101, 670, 13273, 607, 1134, 607, 3556, 10904, 267, 4544, 795, 599, 267, 2112, 4565, 619, 267, 524, 4900, 267, 838, 541, 4900, 267, 1612, 12783, 267, 3574, 701, 1188, 619, 543, 4262, 575, 1638, 269, 24410, 339, 666, 581, 1336, 538, 519, 4195, 1216, 12647, 269, 9791, 8127, 267, 18369, 267, 28725, 543, 804, 4461, 666, 581, 1336, 538, 7043, 6816, 14675, 563, 763, 7264, 540, 519, 4884, 7941, 621, 883, 1614, 1804, 834, 21827, 257, 2864, 982, 513, 1297, 540, 4130, 16973, 269, 1452, 6810, 616, 912, 763, 1858, 799, 10665, 645, 3757, 5112, 543, 3345, 645, 3757, 5112, 593, 519, 7532, 267, 1715, 670, 13273, 593, 519, 7178, 547, 827, 6182, 2335, 529, 623, 1180, 538, 519, 5045, 543, 27788, 3557, 27953, 476, 3199, 269, 901, 568, 519, 14629, 5006, 3296, 540, 4884, 269, 898, 12523, 1851, 922, 21056, 519, 4884, 1164, 1153, 267, 16737, 517, 5244, 30094, 720, 630, 320, 12725, 4583, 14614, 3302, 1722, 1070, 543, 8805, 25371, 267, 513, 21756, 2480, 8083, 540, 519, 7330, 1554, 3786, 269, 6182, 2335, 529, 623, 1180, 946, 547, 3984, 513, 962, 300, 7563, 3786, 2394, 519, 2244, 729, 4421, 543, 2919, 563, 763, 1858, 568, 4092, 538, 519, 7013, 3296, 540, 5101, 670, 13273, 267, 689, 24261, 595, 913, 3296, 540, 1715, 670, 13273, 593, 519, 7178, 547, 645, 3757, 5112, 593, 519, 7532, 543, 4358, 693, 10374, 16047, 10003, 538, 519, 5087, 269, 901, 3296, 2882, 519, 4884, 11824, 267, 3875, 598, 3256, 514, 1756, 338, 543, 4832, 26181, 1137, 269, 634, 1858, 2282, 570, 15634, 1715, 670, 13273, 23076, 814, 606, 4853, 6288, 602, 2882, 16011, 12876, 570, 790, 15544, 10361, 18392, 543, 2836, 629, 549, 4258, 3150, 15278, 563, 763, 4741, 568, 711, 2965, 519, 10923, 4099, 540, 4884, 855, 2864, 519, 13398, 540, 1034, 1919, 11889, 269, 8092, 12201, 540, 834, 763, 4741, 257, 1331, 519, 16011, 8065, 267, 9605, 4972, 10361, 18392, 267, 670, 698, 16120, 17341, 7732, 267, 519, 834, 1245, 257, 5101, 670, 13273, 4400, 3427, 543, 824, 11889, 5656, 269, 634, 17318, 4972, 543, 5398, 3718, 4972, 21078, 593, 519, 834, 22487, 257, 910, 16737, 517, 1899, 563, 763, 1034, 25992, 19506, 538, 5101, 670, 13273, 568, 519, 6196, 12942, 5783, 269, 29740, 538, 476, 10082, 275, 267, 519, 14869, 548, 540, 519, 5939, 6763, 856, 1996, 519, 1970, 16880, 563, 763, 3312, 1164, 1153, 1631, 8075, 519, 5101, 670, 13273, 8466, 5980, 267, 543, 513, 7141, 4099, 563, 763, 16011, 5682, 568, 513, 476, 273, 269, 275, 14092, 516, 630, 280, 267, 10384, 544, 273, 264, 6288, 4092, 693, 519, 9456, 1439, 540, 519, 3844, 1870, 8664, 630, 18314, 7161, 7532, 540, 519, 4884, 10689, 264, 543, 568, 6140, 4988, 676, 4054, 269, 1703, 616, 20375, 6131, 547, 8956, 2112, 18884, 543, 23001, 16146, 269, 634, 17122, 1448, 540, 519, 3039, 568, 741, 22401, 2692, 610, 6512, 1056, 269, 634, 5682, 568, 519, 3135, 540, 519, 5993, 5101, 670, 13273, 12096, 16635, 543, 4832, 30145, 563, 300, 1173, 15756, 570, 27462, 5244, 568, 2808, 519, 2034, 5101, 670, 13273, 5682, 267, 609, 922, 4087, 2066, 519, 8265, 689, 16011, 8065, 543, 519, 6196, 12942, 5783, 269, 12697, 616, 581, 2919, 547, 1039, 3606, 2244, 547, 519, 6288, 267, 2059, 609, 513, 1216, 32446, 563, 1103, 7672, 538, 3296, 568, 519, 834, 26156, 7736, 2580, 799, 10665, 1715, 670, 13273, 267, 11632, 269, 634, 1858, 814, 2938, 513, 7771, 540, 519, 8378, 936, 519, 2250, 8717, 314, 15290, 286, 316, 610, 865, 543, 1025, 697, 814, 22283, 538, 269, 27557, 616, 25093, 547, 26016, 1125, 519, 1858, 602, 1034, 7264, 314, 15367, 286, 316, 1589, 723, 1044, 15763, 609, 782, 519, 1445, 540, 519, 556, 23923, 618, 3646, 538, 519, 4099, 540, 4884, 563, 763, 18947, 4741, 568, 849, 4092, 835, 3625, 689, 16011, 8065, 269, 901, 9744, 568, 585, 782, 20650, 476, 2568, 1296, 540, 2085, 543, 4587, 269, 3509, 2238, 616, 9709, 593, 513, 3232, 4493, 607, 1134, 607, 513, 3232, 12899, 1982, 269, 898, 568, 513, 1390, 1747, 585, 782, 20650, 547, 3643, 543, 2972, 942, 609, 2828, 269, 17949, 15143, 543, 1205, 1344, 593, 782, 9972, 3292, 563, 292, 770, 670, 13273, 781, 2916, 568, 10917, 1229, 676, 922, 4087, 593, 7043, 6816, 14675, 543, 2833, 513, 18626, 2916, 799, 568, 1455, 538, 1715, 4789, 269, 12736, 1562, 616, 2356, 7646, 518, 267, 609, 1447, 6777, 13250, 267, 982, 1346, 1336, 24654, 269, 769, 513, 3339, 5162, 5101, 670, 13273, 25939, 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 ]
[ 513, 4625, 8900, 7387, 540, 922, 5449, 1582, 563, 25387, 267, 678, 13624, 574, 1400, 22129, 568, 4440, 519, 1034, 2442, 1747, 593, 519, 4950, 585, 1004, 547, 2911, 827, 971, 4025, 269, 769, 519, 968, 10666, 7991, 892, 3296, 267, 621, 6257, 1929, 1400, 5624, 607, 968, 1492, 942, 1063, 519, 2048, 6343, 729, 685, 543, 519, 2048, 10113, 10200, 898, 568, 513, 1747, 540, 5912, 267, 7996, 267, 543, 711, 6616, 269, 7799, 1400, 2230, 568, 1141, 782, 7004, 3217, 1747, 267, 952, 649, 1451, 547, 7227, 543, 1577, 621, 1106, 721, 3034, 763, 3755, 1419, 2671, 5961, 540, 519, 1929, 1400, 5624, 789, 2097, 2066, 1282, 741, 4948, 2729, 269, 2290, 3593, 11540, 606, 3239, 540, 606, 8900, 18736, 2603, 1985, 547, 513, 6413, 538, 519, 2038, 3108, 540, 519, 6640, 269, 634, 2371, 538, 519, 32215, 616, 4158, 3623, 17924, 22863, 1247, 519, 2603, 3294, 568, 1396, 538, 513, 3039, 27280, 676, 519, 18736, 2603, 8279, 269, 898, 3947, 1055, 930, 12517, 28869, 344, 642, 756, 525, 267, 799, 7363, 9327, 1406, 581, 972, 1282, 2834, 21765, 3108, 950, 621, 779, 2407, 540, 1004, 543, 6517, 563, 5194, 2022, 538, 519, 1482, 1016, 1042, 9016, 568, 513, 4605, 540, 513, 10977, 7535, 602, 519, 3312, 16968, 10272, 609, 1010, 8004, 23136, 269, 634, 2898, 4605, 7959, 20868, 569, 4608, 15967, 269, 634, 4778, 540, 519, 544, 1116, 538, 519, 4282, 2059, 609, 519, 19347, 25487, 543, 2879, 841, 24112, 4334, 609, 875, 1884, 1172, 730, 519, 10977, 7535, 267, 610, 1256, 519, 3003, 4055, 267, 5654, 269, 898, 7959, 899, 513, 882, 545, 540, 519, 2250, 1869, 20807, 539, 676, 519, 1648, 540, 1018, 729, 2443, 952, 602, 2306, 1022, 2631, 693, 782, 563, 1103, 513, 2147, 18916, 267, 1929, 1400, 5624, 666, 18427, 4606, 540, 7920, 19911, 28101, 269, 1358, 1419, 1491, 519, 1106, 540, 8900, 610, 14460, 4025, 602, 941, 2899, 2442, 267, 2523, 1282, 519, 2048, 3199, 338, 610, 2048, 3445, 338, 563, 1103, 2943, 519, 1482, 1016, 1042, 9016, 267, 513, 3593, 11540, 513, 4605, 540, 606, 14460, 2679, 609, 519, 29501, 540, 513, 19035, 569, 5432, 20446, 2899, 10362, 547, 513, 2442, 3381, 23934, 4558, 269, 1323, 1256, 1732, 1929, 1400, 2230, 8666, 1131, 581, 519, 1482, 4558, 855, 689, 519, 3330, 267, 27507, 540, 1004, 855, 31523, 609, 25584, 563, 8448, 19911, 531, 11551, 9708, 899, 1346, 10023, 519, 2899, 7986, 918, 27926, 8637, 12212, 1118, 606, 5920, 269, 898, 779, 2182, 547, 2491, 4010, 1018, 2306, 19911, 531, 11551, 5624, 865, 1303, 6005, 269, 634, 8900, 8637, 666, 1745, 2186, 540, 1244, 7675, 693, 1101, 267, 855, 693, 519, 1482, 942, 267, 519, 7962, 1465, 540, 519, 2230, 2636, 519, 21951, 547, 1788, 741, 1378, 8823, 5196, 519, 6429, 269, 634, 5104, 868, 777, 3789, 1063, 519, 4641, 540, 519, 14460, 2230, 543, 519, 17381, 540, 835, 779, 1378, 8823, 540, 519, 2230, 666, 3142, 593, 513, 15116, 4990, 540, 4744, 28585, 563, 24916, 10344, 267, 1082, 824, 2010, 540, 23447, 5968, 1929, 514, 1275, 269, 12124, 29293, 616, 29200, 585, 713, 1317, 789, 1419, 14311, 4183, 14460, 4025, 269, 634, 13334, 3381, 676, 634, 7743, 4658, 2934, 606, 14460, 32041, 1869, 1396, 676, 19440, 4191, 602, 2285, 519, 1747, 606, 7920, 569, 30642, 5790, 563, 2005, 779, 2653, 547, 1205, 4503, 538, 519, 15529, 8559, 540, 1929, 514, 1275, 269, 4495, 6534, 547, 519, 1523, 267, 621, 3587, 2182, 547, 796, 5408, 621, 2094, 621, 666, 581, 1336, 10876, 269, 7799, 1400, 5624, 666, 581, 2813, 676, 1004, 1312, 16662, 1549, 958, 267, 971, 607, 519, 2707, 7851, 538, 2756, 690, 1868, 267, 610, 17543, 267, 998, 2780, 3146, 526, 1229, 2592, 5781, 11540, 593, 23749, 899, 713, 835, 563, 21918, 514, 1275, 814, 11478, 2094, 519, 4098, 540, 942, 855, 814, 1152, 1044, 6444, 5063, 269, 769, 513, 2110, 942, 267, 621, 993, 21724, 513, 1381, 1739, 602, 5170, 547, 13686, 543, 23507, 519, 9642, 885, 4478, 1004, 1169, 1554, 269, 0, 288, 2352, 10980, 568, 519, 835, 602, 22613, 519, 2361, 540, 5842, 30511, 8000, 657, 6403, 11004, 1150, 267, 3646, 547, 8396, 621, 723, 5059, 593, 519, 10514, 731, 618, 540, 12269, 547, 5352, 4764, 563, 7212, 713, 10980, 568, 711, 607, 7920, 610, 3665, 607, 519, 835, 4810, 676, 9988, 971, 607, 570, 4821, 592, 760, 553, 610, 715, 826, 17383, 2274, 11252, 267, 519, 2817, 8189, 540, 1488, 573, 2098, 2158, 630, 3519, 18054, 264, 2062, 572, 525, 519, 10514, 731, 618, 540, 12269, 563, 763, 1982, 267, 799, 11394, 547, 5352, 4764, 538, 5842, 30511, 8000, 657, 6403, 267, 729, 9307, 676, 519, 10555, 30353, 540, 16581, 4886, 543, 10281, 14989, 8249, 998, 519, 2212, 540, 5842, 30511, 8000, 657, 6403, 267, 21280, 2946, 21238, 334, 623, 2946, 30959, 2107, 339, 714, 563, 763, 13192, 10514, 731, 618, 786, 581, 5645, 856, 538, 519, 2127, 540, 519, 13535, 770, 1815, 25772, 540, 23111, 340, 27713, 543, 27878, 3316, 578, 1877, 972, 616, 1271, 6721, 3549, 609, 10980, 2042, 563, 763, 2212, 540, 519, 8116, 1767, 602, 519, 2669, 540, 12418, 814, 7018, 1813, 547, 519, 12675, 10980, 543, 1164, 5210, 267, 855, 646, 1705, 711, 5305, 3169, 5515, 267, 2094, 646, 1767, 602, 519, 678, 4545, 1667, 685, 18787, 723, 711, 1500, 513, 4745, 1867, 563, 763, 12269, 786, 581, 10514, 12023, 609, 8988, 28538, 728, 538, 519, 5621, 328, 680, 8457, 3148, 543, 4440, 519, 13535, 770, 29132, 563, 303, 2946, 30959, 2107, 339, 714, 1767, 602, 5103, 519, 1249, 602, 621, 814, 711, 986, 1441, 538, 1804, 2127, 540, 5842, 30511, 8000, 657, 6403, 267, 968, 9188, 3145, 713, 267, 519, 3510, 568, 711, 2565, 547, 519, 1448, 540, 15231, 2829, 971, 607, 715, 826, 17383, 2274, 11252, 610, 570, 4821, 592, 760, 553, 3034, 3891, 1767, 602, 4166, 789, 786, 2743, 609, 2199, 8128, 540, 519, 29109, 540, 661, 3316, 334, 547, 3858, 593, 519, 26645, 1982, 540, 12269, 609, 519, 1489, 540, 1230, 18054, 563, 763, 6531, 10514, 731, 618, 814, 1044, 5645, 856, 538, 824, 9988, 267, 971, 607, 932, 8811, 340, 1695, 7699, 543, 715, 826, 17383, 2274, 11252, 968, 663, 1631, 538, 938, 11769, 2223, 11943, 623, 2946, 30959, 2107, 339, 714, 563, 2171, 4363, 596, 1224, 912, 30208, 694, 5338, 568, 513, 1106, 540, 4365, 12879, 269, 898, 568, 519, 3801, 547, 1689, 519, 2179, 610, 1826, 540, 13247, 602, 8813, 689, 12269, 676, 12165, 532, 6878, 538, 519, 2011, 602, 4196, 607, 6531, 28198, 22140, 610, 4672, 22140, 267, 799, 7369, 3157, 1369, 519, 2890, 874, 12695, 540, 12269, 269, 634, 9837, 568, 2141, 547, 2333, 13247, 630, 1778, 610, 6777, 1040, 0, 268, 476, 272, 1684, 808, 298, 1053, 1205, 1867, 6486, 888, 268, 476, 273, 1548, 1281, 590, 1611, 593, 9656, 1867, 3556, 888, 268, 476, 274, 1772, 9656, 2808, 476, 272, 560, 3446, 888, 268, 476, 275, 1548, 1281, 513, 476, 275, 1611, 593, 513, 1867, 3556, 888, 268, 476, 276, 1548, 1281, 674, 1611, 593, 513, 1867, 3556, 888, 268, 476, 277, 1548, 1281, 717, 1611, 593, 513, 1867, 3556, 888, 268, 476, 278, 1548, 1281, 595, 1796, 585, 593, 513, 1867, 3556, 888, 268, 476, 279, 1548, 568, 2808, 513, 1434, 1867, 3556, 888, 268, 476, 280, 1215, 666, 594, 1294, 1250, 1126, 779, 9344, 2228, 888, 268, 476, 1015, 1215, 798, 596, 1205, 513, 1867, 3556, 593, 5295, 18662, 888, 268, 476, 1556, 1772, 9656, 519, 1482, 607, 1032, 476, 272, 888, 268, 476, 1321, 1772, 9656, 1932, 2038, 547, 1224, 888, 2710, 808, 298, 1053, 1205, 1867, 6486, 888, 3682, 9109, 1017, 1867, 6486, 616, 9783, 7466, 829, 1032, 630, 21938, 543, 519, 1439, 540, 4873, 1040, 4841, 538, 24110, 476, 272, 268, 277, 666, 2503, 1641, 2127, 547, 581, 4080, 593, 1210, 4484, 9344, 269, 4841, 538, 24110, 476, 272, 268, 279, 267, 4171, 9740, 568, 711, 5870, 519, 5934, 18591, 3044, 267, 4309, 513, 1665, 540, 968, 305, 9731, 1432, 1281, 590, 1611, 593, 9656, 1867, 3556, 888, 763, 14594, 7412, 1575, 13405, 547, 602, 267, 3506, 2356, 4766, 3356, 609, 513, 4336, 971, 607, 667, 585, 3384, 267, 661, 585, 9750, 267, 590, 585, 25685, 267, 543, 715, 585, 2115, 6454, 269, 634, 9656, 1867, 3556, 666, 581, 6010, 2989, 547, 513, 24920, 540, 1983, 2629, 585, 2038, 1565, 563, 3674, 9656, 2808, 476, 272, 560, 3446, 888, 2108, 15206, 568, 1631, 1101, 3446, 267, 543, 1101, 3446, 568, 1631, 2034, 3446, 2223, 3081, 14732, 853, 3716, 339, 267, 513, 9656, 4116, 538, 28180, 1715, 14948, 585, 476, 866, 1296, 269, 968, 2005, 1031, 547, 581, 3339, 585, 1101, 17603, 547, 1869, 581, 1565, 547, 1224, 269, 3767, 267, 519, 19625, 540, 2186, 1120, 691, 2996, 945, 5749, 1406, 2542, 676, 519, 1439, 540, 519, 1032, 616, 2808, 3297, 563, 1432, 1281, 513, 476, 275, 1611, 593, 513, 1867, 3556, 888, 288, 968, 275, 892, 1797, 602, 513, 2875, 568, 3257, 5140, 960, 269, 1879, 513, 1126, 11392, 513, 968, 275, 2223, 621, 1797, 602, 646, 24172, 568, 9846, 11744, 513, 1164, 1377, 540, 15334, 610, 1702, 563, 1432, 1281, 674, 1611, 593, 513, 1867, 3556, 888, 293, 1107, 713, 568, 513, 17528, 3446, 563, 1432, 1281, 717, 1611, 593, 513, 1867, 3556, 888, 20684, 12474, 269, 634, 968, 294, 892, 630, 6103, 623, 2056, 3738, 1665, 568, 1031, 607, 606, 11889, 1747, 14516, 950, 513, 2875, 779, 3446, 568, 533, 2056, 519, 6364, 540, 513, 2009, 3609, 18670, 610, 30095, 2339, 563, 1432, 1281, 595, 1796, 585, 593, 513, 1867, 3556, 888, 7212, 513, 595, 568, 9277, 547, 1611, 968, 320, 2071, 2223, 621, 4564, 1447, 31032, 8584, 2071, 9740, 950, 621, 779, 519, 9803, 3446, 513, 4116, 7959, 6899, 4758, 269, 1635, 15175, 547, 513, 1297, 1062, 267, 930, 3610, 2161, 789, 1745, 1863, 547, 2285, 3214, 519, 9344, 789, 4076, 12236, 563, 1432, 568, 2808, 513, 1434, 1867, 3556, 888, 301, 6334, 267, 519, 1034, 2500, 1867, 3556, 1058, 2992, 1346, 4255, 543, 1217, 4797, 3356, 269, 901, 3898, 6585, 3610, 18177, 547, 6218, 1142, 3044, 4481, 267, 1202, 1005, 602, 707, 2875, 786, 711, 2887, 998, 519, 18015, 538, 1022, 1858, 563, 1692, 666, 594, 1294, 1250, 1126, 779, 9344, 2228, 888, 24375, 707, 4950, 3406, 547, 1265, 519, 1153, 3896, 269, 898, 568, 693, 519, 1153, 3896, 602, 596, 786, 581, 2111, 547, 1569, 707, 1126, 779, 9344, 269, 10049, 689, 519, 1153, 267, 971, 607, 519, 1153, 25156, 267, 2385, 25156, 267, 610, 2875, 25156, 267, 1058, 1217, 596, 607, 547, 1018, 3896, 596, 991, 547, 3643, 547, 1569, 519, 9344, 563, 1692, 798, 596, 1205, 513, 1867, 3556, 593, 5295, 18662, 888, 4002, 1022, 5680, 645, 4900, 518, 630, 2419, 4435, 267, 6380, 926, 267, 22750, 267, 32288, 2135, 994, 268, 6178, 538, 1210, 707, 5295, 18662, 9977, 2974, 20713, 543, 10426, 5320, 563, 268, 8564, 513, 9906, 689, 519, 570, 11274, 593, 519, 1283, 2451, 563, 268, 8437, 593, 11657, 299, 10498, 689, 519, 5377, 540, 519, 2451, 2427, 10624, 563, 268, 8437, 589, 2388, 547, 8281, 543, 2070, 9906, 7797, 9315, 563, 3674, 9656, 519, 1482, 607, 1032, 476, 272, 888, 19733, 689, 6502, 476, 274, 268, 276, 538, 519, 2475, 568, 840, 29292, 7124, 269, 769, 4789, 267, 2085, 476, 276, 14687, 547, 519, 1101, 1032, 540, 25471, 2069, 267, 543, 568, 2907, 5729, 476, 272, 540, 3119, 2069, 267, 4122, 1634, 607, 1101, 4458, 12256, 269, 12698, 476, 274, 268, 276, 616, 1634, 607, 21543, 543, 21200, 1369, 10867, 610, 21738, 3506, 563, 3674, 9656, 1932, 2038, 547, 1224, 888, 3719, 661, 889, 3471, 3081, 1453, 666, 798, 811, 538, 9656, 269, 968, 898, 568, 711, 1646, 958, 20025, 547, 1451, 547, 1224, 538, 9656, 269, 8402, 9351, 23216, 267, 6031, 621, 779, 15502, 547, 16616, 2038, 6267, 547, 1820, 865, 789, 666, 2253, 547, 5431, 8289, 1913, 267, 968, 8117, 596, 666, 1406, 2503, 3025, 547, 9787, 621, 9789, 597, 12058, 5749, 1406, 4712, 1848, 0, 10907, 17815, 568, 835, 540, 519, 3875, 4244, 2126, 4485, 267, 855, 621, 6763, 856, 2094, 621, 12090, 538, 4457, 2528, 543, 814, 6738, 2442, 11451, 563, 268, 476, 272, 634, 17959, 543, 4886, 540, 3600, 17815, 454, 268, 476, 272, 269, 272, 661, 848, 2368, 540, 634, 22206, 1359, 454, 268, 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 ]
[ 593, 713, 267, 2943, 972, 616, 930, 2502, 7440, 593, 1312, 5011, 563, 297, 28771, 3642, 281, 634, 13891, 622, 454, 2704, 869, 779, 1491, 513, 6251, 2015, 519, 4901, 563, 4002, 835, 2427, 540, 519, 4661, 267, 972, 616, 1346, 945, 3494, 602, 3642, 666, 5351, 721, 1921, 609, 938, 4606, 538, 971, 513, 1259, 602, 649, 2760, 2479, 1991, 547, 10924, 2009, 563, 16449, 519, 1034, 2502, 9840, 585, 713, 3409, 568, 602, 3642, 666, 948, 721, 1454, 1732, 10146, 938, 4606, 563, 14549, 7919, 616, 1102, 600, 3585, 3983, 693, 26762, 741, 1360, 1378, 4606, 563, 2171, 1419, 798, 711, 1174, 1946, 649, 1745, 519, 1505, 649, 1745, 267, 543, 713, 666, 3142, 827, 930, 3983, 3375, 6194, 563, 9590, 267, 593, 519, 824, 1688, 267, 568, 5140, 693, 26762, 1239, 563, 2026, 1134, 607, 3929, 1344, 568, 1100, 608, 18277, 563, 3528, 10442, 938, 4664, 267, 3642, 666, 5351, 721, 1454, 1732, 10146, 1946, 649, 1745, 519, 1259, 649, 798, 563, 1607, 267, 13604, 267, 666, 4217, 721, 1118, 1732, 5079, 563, 2704, 869, 779, 3409, 596, 2461, 2731, 4743, 25031, 563, 2791, 949, 711, 917, 1946, 596, 2461, 4743, 676, 3257, 713, 267, 2705, 3642, 1522, 5659, 707, 4664, 543, 1683, 930, 1620, 563, 28646, 621, 1131, 2995, 596, 602, 596, 2461, 4743, 676, 3257, 713, 2094, 596, 2461, 13110, 610, 1317, 596, 2461, 17237, 563, 7775, 267, 5310, 621, 1131, 2995, 596, 602, 596, 2461, 4743, 676, 3257, 713, 2094, 596, 2461, 3206, 827, 513, 1808, 8317, 602, 1500, 596, 2731, 1745, 8909, 538, 519, 2250, 563, 9590, 1131, 6157, 581, 5356, 596, 609, 1344, 602, 596, 1522, 711, 610, 3116, 723, 2965, 1185, 563, 2026, 1134, 607, 713, 3877, 1223, 581, 11212, 3730, 538, 4543, 596, 1118, 1732, 5079, 563, 19741, 540, 519, 7521, 267, 972, 616, 1346, 945, 1589, 602, 3642, 568, 607, 1134, 3908, 538, 922, 2702, 547, 5431, 519, 10848, 540, 1480, 4606, 563, 5445, 5815, 519, 5168, 602, 3642, 568, 1419, 882, 5050, 593, 1344, 602, 568, 19017, 676, 1480, 7919, 563, 4517, 267, 607, 782, 540, 721, 5431, 267, 1004, 616, 711, 3501, 563, 2171, 1118, 9073, 543, 938, 1239, 568, 4749, 791, 13440, 1047, 563, 1607, 267, 13604, 267, 666, 1267, 538, 3642, 1818, 791, 13440, 1047, 3664, 563, 2690, 1383, 267, 1450, 779, 2161, 596, 2461, 4743, 8909, 543, 849, 596, 1217, 3642, 602, 596, 2461, 4743, 713, 1259, 1813, 547, 519, 1249, 602, 596, 2461, 6236, 513, 1978, 8317, 602, 1500, 596, 2731, 1745, 25031, 538, 519, 2250, 563, 9590, 1223, 1310, 602, 1118, 519, 3375, 547, 7866, 596, 513, 2603, 811, 1543, 17640, 547, 602, 2680, 267, 1256, 952, 602, 779, 711, 1018, 596, 538, 1249, 1616, 563, 1103, 713, 1259, 267, 3642, 666, 2965, 1118, 938, 4606, 8338, 267, 607, 10353, 547, 1454, 1732, 563, 3383, 267, 799, 2427, 568, 1318, 888, 4692, 3642, 5963, 948, 721, 1205, 538, 5905, 609, 938, 4664, 888, 7775, 568, 713, 606, 3236, 540, 1004, 6998, 1259, 1932, 1454, 540, 741, 15670, 888, 4263, 519, 1439, 540, 519, 1554, 267, 1152, 942, 786, 1217, 563, 3719, 835, 1448, 568, 1510, 513, 8969, 281, 519, 15539, 568, 2386, 547, 8399, 563, 297, 28771, 3642, 281, 634, 31621, 454, 5591, 2339, 1141, 596, 3490, 593, 519, 15539, 267, 972, 779, 1100, 27102, 602, 3642, 6799, 513, 2027, 4316, 585, 5626, 3095, 563, 9590, 666, 5351, 721, 1454, 1732, 10146, 938, 4606, 952, 11613, 4986, 3116, 563, 4517, 267, 607, 649, 4076, 2938, 267, 713, 1620, 666, 581, 11212, 3730, 538, 4543, 721, 1118, 1732, 3664, 563, 3383, 267, 1256, 952, 3642, 666, 711, 5351, 721, 1921, 609, 938, 4664, 538, 519, 6073, 538, 799, 649, 7287, 267, 621, 666, 1869, 948, 721, 538, 513, 6073, 602, 649, 2760, 1991, 547, 10924, 2009, 563, 7617, 779, 1945, 4502, 9878, 3007, 547, 563, 293, 16898, 281, 6744, 4934, 901, 18248, 3101, 10803, 769, 8865, 1411, 3807, 654, 1180, 1359, 634, 15783, 2986, 18786, 589, 18248, 563, 297, 28771, 3642, 281, 634, 19608, 454, 4692, 3642, 20674, 721, 538, 21882, 888, 763, 2626, 568, 513, 2462, 5310, 563, 2005, 666, 4217, 721, 538, 5356, 930, 1239, 12454, 31452, 2705, 621, 1522, 711, 10146, 519, 5626, 4276, 649, 2461, 12394, 547, 1118, 609, 938, 1603, 563, 4263, 519, 1439, 540, 519, 1554, 267, 1152, 942, 786, 6157, 2995, 952, 3642, 786, 581, 2111, 547, 4217, 721, 1205, 538, 5905, 609, 938, 4606, 3842, 938, 1603, 563, 3719, 267, 952, 11613, 4986, 3116, 267, 621, 779, 513, 7872, 4502, 12423, 563, 4692, 596, 2995, 602, 713, 729, 2813, 676, 513, 20536, 888, 2252, 711, 267, 1287, 808, 28771, 3642, 568, 3257, 922, 4305, 563, 297, 28771, 3642, 568, 606, 3642, 14617, 1603, 513, 728, 602, 2337, 596, 17492, 2484, 1732, 676, 3246, 596, 1239, 12454, 10372, 563, 2005, 779, 899, 2348, 513, 3787, 5363, 689, 513, 21882, 16455, 267, 855, 1510, 519, 1164, 3902, 11090, 563, 4517, 849, 267, 2094, 808, 28771, 3642, 568, 13324, 676, 3642, 267, 621, 666, 5351, 596, 1711, 1732, 676, 1620, 707, 4664, 607, 1134, 607, 3246, 596, 2093, 1759, 593, 602, 1239, 563, 2252, 596, 2461, 3168, 585, 513, 1259, 547, 2087, 707, 1603, 267, 808, 28771, 3642, 568, 1034, 9090, 4502, 8524, 532, 856, 563, 297, 28771, 3642, 281, 634, 8892, 454, 4407, 1896, 1869, 24098, 585, 2798, 547, 2097, 267, 621, 779, 2312, 602, 808, 28771, 3642, 568, 1318, 1934, 547, 3251, 543, 4217, 721, 609, 938, 1603, 563, 2005, 3580, 581, 4277, 547, 1294, 875, 519, 2413, 2029, 10953, 607, 1134, 607, 2436, 610, 711, 621, 3580, 723, 519, 2702, 547, 5351, 721, 1205, 538, 5905, 609, 938, 4606, 538, 513, 4514, 1797, 563, 18744, 942, 786, 6157, 1217, 563, 1103, 519, 29291, 267, 649, 1590, 782, 1118, 519, 1034, 540, 519, 7872, 547, 2087, 938, 21882, 609, 519, 948, 540, 808, 28771, 3642, 563, 297, 28771, 3642, 281, 634, 2552, 7337, 344, 454, 2467, 568, 1100, 8969, 602, 808, 28771, 3642, 814, 2965, 6383, 513, 2603, 540, 4655, 563, 290, 761, 923, 17551, 602, 519, 2413, 2029, 568, 849, 11658, 538, 922, 2702, 547, 1174, 519, 10848, 540, 1480, 4664, 563, 5445, 11338, 5815, 519, 5168, 602, 3642, 568, 2356, 8200, 593, 1239, 602, 568, 19017, 676, 1480, 7919, 267, 799, 666, 581, 11234, 563, 293, 753, 540, 808, 28771, 3642, 8044, 602, 519, 2413, 2029, 814, 519, 2009, 547, 4217, 721, 1454, 1732, 5431, 938, 4606, 563, 5445, 849, 3494, 602, 267, 1256, 952, 3642, 666, 1406, 948, 721, 1205, 538, 5905, 609, 938, 4664, 538, 519, 6073, 538, 799, 649, 7287, 267, 621, 666, 1869, 948, 721, 538, 971, 513, 1259, 602, 649, 2760, 1991, 547, 2219, 2009, 563, 763, 4661, 2306, 1978, 547, 3136, 563, 4913, 1945, 568, 585, 1978, 281, 808, 28771, 3642, 568, 1934, 547, 2611, 563, 297, 28771, 3642, 281, 634, 8892, 540, 16508, 17583, 454, 2005, 666, 581, 2352, 547, 1205, 538, 5905, 609, 938, 4664, 267, 2943, 3642, 3091, 606, 2189, 7872, 585, 5626, 4276, 563, 9590, 666, 4217, 721, 1454, 1732, 10146, 938, 4664, 952, 4986, 3116, 563, 297, 28771, 3642, 568, 606, 3642, 14617, 1603, 13930, 602, 2337, 596, 1711, 2484, 1732, 676, 5356, 596, 1239, 12454, 2093, 563, 2005, 779, 899, 2348, 513, 3787, 540, 948, 689, 513, 21882, 26519, 267, 2705, 1510, 519, 1164, 3902, 11090, 563, 4517, 849, 267, 2016, 602, 808, 28771, 3642, 568, 13324, 676, 3642, 267, 621, 666, 948, 596, 2328, 2484, 1732, 676, 26762, 707, 4606, 543, 3246, 596, 31452, 1759, 593, 602, 1344, 563, 2252, 596, 2461, 3168, 585, 513, 1259, 547, 3986, 707, 1603, 267, 808, 28771, 3642, 568, 1034, 9090, 4502, 6313, 856, 563, 263, 901, 2328, 5346, 729, 2813, 476, 1911, 260, 676, 808, 28771, 3642, 609, 1100, 1480, 2126, 1916, 2005, 779, 2312, 602, 808, 28771, 3642, 568, 1934, 547, 2611, 607, 1134, 607, 5351, 721, 609, 938, 1603, 563, 2005, 3580, 581, 4277, 547, 1294, 1175, 875, 519, 2029, 10953, 543, 849, 2436, 621, 3580, 581, 2111, 547, 4217, 721, 1205, 538, 5905, 609, 938, 4664, 538, 513, 1454, 4514, 1797, 563, 9617, 942, 786, 2995, 563, 1103, 519, 29291, 267, 649, 1058, 782, 31194, 593, 519, 7872, 547, 5818, 938, 1603, 609, 519, 948, 540, 808, 28771, 3642, 563, 263, 476, 272, 267, 25134, 2262, 7768, 1369, 476, 1015, 3687, 2373, 1040, 0, 295, 698, 8127, 267, 799, 9000, 1312, 31175, 543, 28287, 267, 616, 519, 1034, 18642, 9451, 24260, 1634, 267, 17255, 610, 2713, 269, 910, 11357, 28493, 267, 649, 2303, 602, 606, 18577, 13382, 289, 276, 3606, 11651, 3022, 883, 9451, 24260, 13382, 295, 630, 299, 295, 267, 674, 17239, 267, 543, 570, 17239, 264, 543, 31594, 2717, 5670, 4689, 547, 715, 298, 311, 2764, 13382, 289, 276, 630, 1240, 1040, 476, 6344, 4792, 273, 275, 268, 10436, 268, 279, 15096, 2004, 634, 688, 326, 8127, 13382, 295, 3029, 513, 804, 1228, 1210, 519, 570, 17239, 338, 282, 18562, 267, 519, 18849, 560, 1905, 4978, 616, 1970, 543, 688, 326, 325, 8460, 4359, 1991, 547, 519, 28594, 987, 739, 2345, 630, 8993, 269, 476, 273, 1040, 634, 5836, 17689, 9445, 717, 8025, 849, 1895, 902, 1210, 519, 13382, 295, 338, 476, 6344, 4792, 273, 275, 268, 10436, 268, 279, 15096, 2004, 855, 568, 15151, 1851, 519, 856, 25364, 689, 519, 700, 295, 338, 630, 8993, 269, 476, 273, 1040, 901, 7636, 543, 18105, 8328, 1267, 10522, 602, 519, 804, 19861, 1079, 1016, 28493, 538, 519, 688, 326, 8127, 30783, 616, 5532, 547, 28594, 987, 739, 727, 13382, 295, 543, 1107, 1016, 28493, 543, 865, 616, 519, 3355, 11651, 3022, 9451, 24260, 13382, 295, 1016, 28493, 799, 723, 1044, 4362, 269, 8431, 269, 476, 273, 269, 634, 7636, 29981, 6268, 729, 3710, 1210, 26228, 2000, 1731, 9685, 4480, 1210, 476, 3199, 17429, 1027, 11254, 23639, 9696, 689, 519, 1107, 543, 910, 11357, 28493, 540, 674, 17239, 267, 570, 17239, 267, 543, 700, 295, 282, 717, 5183, 273, 543, 13382, 289, 276, 269, 14938, 1878, 1185, 1044, 13988, 1210, 519, 631, 3530, 339, 630, 3451, 264, 5311, 268, 7955, 618, 2560, 8426, 983, 10886, 1436, 540, 13382, 295, 6261, 18166, 19204, 538, 670, 698, 8127, 623, 15856, 3202, 269, 670, 698, 8127, 13382, 295, 544, 23978, 1185, 1044, 6829, 538, 6266, 540, 2281, 3622, 538, 1034, 13421, 689, 519, 20722, 334, 1506, 335, 2684, 1736, 267, 6466, 1100, 10316, 1436, 10832, 941, 4362, 538, 824, 5160, 267, 899, 476, 6344, 4792, 273, 275, 268, 10436, 268, 279, 15096, 2004, 519, 1480, 2634, 630, 8993, 269, 476, 274, 543, 543, 543, 543, 543, 543, 543, 543, 543, 543, 543, 543, 543, 543, 2560, 13891, 622, 769, 2221, 779, 1353, 267, 519, 6228, 543, 8446, 540, 606, 5665, 13382, 295, 723, 2907, 1044, 19286, 730, 538, 519, 4158, 476, 6344, 4792, 273, 275, 268, 10436, 268, 279, 15096, 2004, 6960, 688, 326, 8127, 267, 630, 600, 784, 519, 2010, 540, 519, 7414, 688, 326, 8127, 1040, 3776, 1239, 1459, 1164, 3126, 16726, 547, 28594, 987, 739, 727, 13382, 295, 268, 543, 13382, 295, 28175, 22780, 10820, 543, 476, 6344, 4792, 273, 275, 268, 10436, 268, 279, 15096, 2004, 711, 2509, 519, 717, 5183, 273, 543, 13382, 289, 276, 269, 5637, 1016, 28493, 540, 13382, 295, 616, 7150, 538, 519, 1482, 2281, 689, 519, 20722, 334, 1506, 335, 2684, 1736, 267, 5356, 17386, 6169, 585, 519, 1699, 4527, 540, 513, 10636, 617, 574, 20143, 13382, 295, 538, 519, 688, 326, 8127, 269, 13382, 295, 25242, 693, 1312, 5946, 543, 5444, 5666, 267, 7222, 2509, 519, 10285, 2157, 689, 519, 688, 326, 8127, 269, 5015, 267, 29881, 6805, 13382, 295, 28901, 519, 9830, 540, 3023, 28335, 689, 31796, 1449, 529, 1369, 513, 9570, 17466, 1259, 269, 1452, 2164, 15069, 1397, 799, 519, 13382, 295, 4362, 1934, 1568, 607, 606, 5665, 16891, 611, 32430, 9449, 543, 949, 581, 519, 1101, 4359, 30783, 13382, 295, 602, 568, 4362, 1369, 513, 21828, 9451, 24260, 4611, 538, 519, 28594, 987, 739, 727, 717, 8025, 543, 570, 17239, 1899, 1137, 269, 634, 4587, 5946, 540, 688, 326, 8127, 13382, 295, 2882, 476, 279, 540, 476, 1015, 595, 903, 22016, 543, 1079, 715, 3766, 569, 6523, 2643, 566, 4609, 593, 519, 4630, 27881, 7158, 547, 13382, 295, 1016, 28493, 540, 10265, 539, 30900, 269, 22702, 267, 476, 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 ]
[ 634, 14245, 849, 2491, 519, 1699, 543, 2104, 4566, 585, 1382, 543, 1646, 585, 5355, 938, 1480, 2188, 2079, 2645, 543, 3157, 563, 300, 1571, 267, 5689, 1047, 282, 15651, 267, 13198, 328, 454, 763, 744, 2793, 309, 630, 4002, 4580, 32522, 264, 16869, 3590, 568, 1373, 2919, 607, 513, 1483, 6066, 23641, 13930, 547, 519, 744, 2793, 309, 8184, 17120, 585, 946, 538, 519, 17030, 6513, 4741, 693, 519, 9652, 6611, 4741, 269, 17497, 267, 4239, 269, 476, 1960, 272, 267, 519, 7127, 543, 607, 1417, 1949, 723, 1044, 14468, 585, 946, 593, 23641, 607, 1489, 2645, 267, 543, 941, 1031, 585, 590, 4811, 268, 4366, 269, 634, 14906, 14162, 31773, 1062, 568, 538, 19027, 609, 519, 3804, 547, 723, 519, 1062, 14468, 585, 590, 4811, 268, 5392, 267, 2271, 1564, 520, 23023, 269, 1677, 12446, 693, 713, 3942, 267, 689, 513, 18634, 547, 1483, 8996, 3498, 267, 519, 744, 2793, 309, 1788, 814, 1185, 547, 4308, 609, 711, 1152, 1325, 2152, 855, 5665, 1604, 2152, 269, 634, 1325, 2152, 3769, 519, 15657, 540, 1325, 4654, 543, 519, 3181, 19982, 2645, 267, 19027, 267, 543, 8244, 267, 6617, 543, 2450, 540, 519, 4274, 7535, 269, 634, 2825, 2152, 3769, 1483, 942, 1239, 11601, 267, 8800, 29839, 267, 543, 875, 547, 3035, 10343, 676, 3755, 543, 2359, 563, 309, 773, 322, 650, 328, 267, 30954, 334, 674, 282, 14863, 27332, 267, 2549, 7701, 282, 8738, 7723, 267, 8176, 808, 454, 763, 4099, 540, 4187, 568, 2808, 519, 1034, 1271, 4704, 1448, 585, 5694, 3350, 269, 898, 568, 1419, 7150, 602, 4229, 998, 713, 1448, 786, 1267, 538, 5694, 8144, 269, 634, 3483, 540, 713, 2376, 568, 547, 1867, 519, 2164, 540, 25948, 6901, 4152, 519, 8367, 602, 7740, 540, 4187, 798, 711, 2291, 538, 2230, 607, 476, 274, 8820, 2798, 267, 5097, 1317, 540, 519, 12166, 12623, 11496, 540, 519, 27731, 30301, 269, 1306, 606, 4244, 3069, 267, 649, 15974, 602, 267, 585, 606, 17062, 5694, 267, 8144, 8100, 666, 581, 5462, 676, 476, 273, 8820, 16879, 28963, 540, 476, 274, 8820, 17887, 540, 4187, 269, 5685, 924, 3693, 9382, 941, 5342, 593, 513, 3193, 16736, 1101, 24855, 2203, 547, 3313, 519, 2990, 540, 519, 17887, 540, 10047, 6383, 676, 476, 274, 8820, 15185, 269, 22564, 4255, 941, 5340, 547, 5635, 5694, 3350, 676, 1210, 1114, 10659, 540, 17887, 540, 4187, 607, 8100, 269, 634, 7008, 24378, 17887, 540, 10047, 1705, 711, 12969, 538, 476, 274, 7516, 282, 4061, 267, 789, 798, 711, 3313, 513, 476, 274, 8820, 4099, 540, 4187, 269, 22564, 729, 5833, 676, 1210, 16879, 28963, 540, 519, 476, 273, 17887, 540, 4187, 13902, 547, 519, 3196, 4287, 269, 8422, 8820, 17887, 540, 4187, 267, 610, 741, 476, 273, 8820, 16879, 28963, 267, 1058, 581, 1031, 547, 1544, 3350, 540, 606, 17062, 5694, 269, 11916, 4114, 574, 725, 547, 513, 1507, 476, 274, 8820, 834, 22487, 540, 4187, 4320, 257, 1522, 581, 7850, 538, 5176, 21136, 27731, 30301, 2665, 269, 14645, 9736, 476, 1001, 274, 1977, 5948, 540, 13106, 16599, 1235, 269, 15618, 676, 17018, 2421, 267, 5549, 269, 2353, 2924, 11603, 563, 1607, 1557, 6799, 606, 1148, 1788, 607, 606, 1383, 540, 1079, 3344, 540, 1857, 27380, 269, 634, 1101, 267, 568, 602, 519, 1788, 9691, 8947, 875, 1686, 568, 1500, 267, 543, 998, 1148, 6194, 543, 10380, 621, 5340, 606, 4244, 13629, 540, 1686, 269, 19627, 267, 519, 1148, 1788, 729, 3351, 2213, 607, 1312, 513, 1184, 543, 6364, 1369, 1857, 2230, 267, 543, 998, 7498, 22437, 749, 267, 570, 5919, 8709, 4144, 329, 1188, 267, 808, 563, 1607, 4367, 547, 519, 2027, 3296, 593, 519, 4070, 540, 1857, 2230, 538, 1514, 2923, 17933, 11828, 630, 272, 264, 519, 2010, 540, 1514, 2923, 2853, 3238, 538, 519, 4070, 540, 1857, 1145, 1282, 4207, 14501, 540, 2442, 1543, 542, 267, 630, 273, 264, 519, 1880, 2797, 12250, 8658, 454, 306, 1446, 327, 267, 15011, 3139, 282, 681, 5803, 332, 267, 22189, 282, 4425, 8457, 267, 6682, 21034, 454, 2690, 5756, 267, 1857, 2230, 607, 513, 1523, 538, 5527, 814, 1044, 18928, 27226, 540, 922, 1898, 12572, 3252, 269, 16270, 10128, 519, 2197, 883, 519, 2518, 2203, 540, 683, 565, 28515, 1143, 267, 519, 1533, 814, 7550, 1857, 4507, 593, 1585, 10253, 799, 8507, 538, 513, 2620, 268, 549, 6838, 6433, 540, 7589, 454, 7079, 512, 670, 1993, 267, 595, 5861, 14371, 5919, 8709, 6480, 267, 681, 5919, 20707, 18779, 267, 674, 563, 300, 9394, 11436, 267, 1857, 3560, 5100, 6486, 267, 3354, 12514, 543, 15870, 1949, 538, 938, 1286, 910, 649, 616, 11303, 676, 3059, 3457, 269, 1358, 3950, 721, 267, 3391, 721, 267, 948, 721, 267, 543, 1852, 721, 269, 634, 1433, 6744, 769, 1315, 6744, 4934, 269, 634, 5398, 6611, 607, 606, 5769, 540, 12085, 2982, 721, 875, 938, 3059, 543, 2168, 10600, 616, 454, 295, 1993, 267, 8709, 1412, 339, 595, 5919, 6480, 267, 8709, 681, 5919, 20707, 18779, 267, 674, 563, 300, 9394, 11436, 267, 1857, 3560, 5100, 6486, 267, 3354, 12514, 543, 15870, 1949, 538, 938, 1286, 910, 649, 616, 11303, 676, 3059, 3457, 269, 1358, 3950, 721, 267, 3391, 721, 267, 948, 721, 267, 543, 1852, 721, 269, 634, 1433, 6744, 769, 1315, 6744, 4934, 269, 634, 5398, 6611, 607, 606, 5769, 540, 12085, 2982, 721, 875, 938, 3059, 543, 2168, 10600, 616, 454, 11321, 2088, 5689, 7701, 267, 715, 22202, 282, 700, 6759, 19649, 632, 13244, 3057, 17144, 267, 4432, 6511, 282, 28066, 328, 2946, 337, 30959, 267, 1306, 9629, 11252, 282, 7345, 11252, 267, 20844, 24883, 282, 25661, 807, 267, 30038, 571, 6308, 282, 717, 5451, 671, 714, 267, 20844, 645, 454, 2690, 1027, 838, 328, 668, 4479, 568, 1898, 585, 23235, 7929, 3676, 543, 568, 4922, 1031, 2066, 2157, 540, 1416, 269, 1717, 267, 1896, 2090, 723, 3254, 602, 838, 328, 668, 4479, 2298, 538, 3119, 1416, 568, 711, 4998, 267, 609, 4220, 540, 3765, 10972, 1725, 2670, 269, 3776, 6662, 729, 547, 2708, 519, 23250, 543, 2773, 540, 513, 7658, 25924, 2861, 2866, 543, 2298, 22059, 1982, 585, 7142, 838, 328, 668, 4479, 538, 3119, 1416, 269, 634, 1079, 11775, 3769, 630, 272, 264, 513, 476, 280, 18881, 12681, 1353, 5473, 476, 1428, 7740, 267, 538, 799, 838, 328, 668, 4479, 4255, 941, 12290, 676, 519, 5178, 4302, 8433, 585, 2657, 5303, 10495, 267, 543, 630, 273, 264, 519, 4367, 540, 519, 1982, 547, 782, 7740, 538, 519, 5398, 5178, 4302, 2657, 6796, 269, 3353, 5974, 1101, 4607, 476, 275, 554, 540, 2866, 267, 543, 267, 13604, 267, 789, 2366, 782, 4255, 547, 519, 4704, 8047, 1210, 519, 1982, 269, 10866, 4879, 729, 5340, 538, 13076, 609, 4791, 4808, 630, 288, 543, 645, 267, 1434, 282, 595, 6363, 267, 4057, 1040, 769, 519, 1101, 5123, 267, 476, 272, 267, 8660, 275, 838, 328, 668, 4479, 4255, 941, 12290, 267, 6029, 606, 6454, 538, 2298, 281, 11807, 2298, 4255, 2799, 689, 476, 6872, 260, 693, 519, 4098, 547, 476, 4281, 260, 1310, 476, 277, 3275, 543, 476, 10695, 260, 1310, 476, 280, 3275, 630, 10139, 612, 539, 1310, 519, 10014, 540, 476, 3607, 3606, 7740, 267, 4509, 519, 2318, 7678, 630, 8618, 9077, 476, 9262, 9077, 543, 476, 10019, 260, 693, 519, 1482, 942, 2798, 282, 533, 638, 1275, 540, 838, 328, 668, 4479, 4255, 4824, 538, 782, 7740, 269, 630, 273, 264, 634, 1982, 2488, 513, 1907, 585, 22151, 1239, 602, 2636, 5464, 540, 922, 2298, 543, 2866, 540, 23390, 945, 1685, 519, 4255, 269, 630, 274, 264, 901, 1935, 568, 3730, 585, 5355, 838, 328, 668, 4479, 2298, 538, 519, 6296, 2259, 540, 513, 1857, 1072, 1062, 563, 301, 1408, 11420, 267, 590, 21417, 1066, 14858, 4226, 345, 282, 717, 1228, 267, 681, 1731, 651, 282, 631, 3996, 331, 1495, 267, 7338, 645, 563, 13195, 4294, 547, 3713, 1004, 269, 1677, 2708, 519, 2298, 540, 519, 24551, 6383, 676, 519, 22008, 3301, 267, 513, 3732, 540, 16140, 18266, 630, 28566, 264, 24551, 941, 7857, 1242, 16924, 585, 782, 2043, 8195, 1459, 538, 519, 6429, 538, 2694, 540, 519, 3381, 6592, 269, 634, 8261, 7857, 1436, 729, 2944, 538, 519, 570, 27401, 268, 22860, 560, 3301, 2919, 693, 700, 1495, 2160, 269, 570, 13715, 540, 1004, 6972, 4805, 610, 538, 1514, 2516, 540, 1114, 7306, 941, 6592, 267, 607, 1134, 607, 1004, 7996, 267, 1004, 2348, 513, 6643, 267, 543, 1004, 1951, 21794, 741, 21891, 610, 11319, 533, 2449, 610, 8868, 577, 4202, 269, 634, 13475, 540, 2048, 325, 659, 619, 685, 2324, 585, 513, 17493, 3919, 27401, 786, 581, 547, 1020, 4359, 2409, 538, 22944, 547, 5512, 10868, 540, 8965, 6724, 585, 1114, 5049, 540, 13475, 602, 666, 581, 1031, 547, 26215, 622, 3631, 540, 31355, 3350, 269, 3776, 1935, 547, 9477, 4683, 1857, 1272, 1058, 581, 2938, 607, 513, 7110, 547, 519, 2757, 12007, 543, 16022, 8261, 2483, 13651, 978, 11253, 595, 2077, 2088, 6428, 326, 826, 10098, 3057, 13196, 454, 17359, 7956, 12232, 634, 2832, 540, 713, 1957, 568, 547, 2992, 593, 5683, 2173, 7394, 2055, 602, 616, 1459, 538, 1114, 7516, 540, 519, 4207, 32705, 3157, 269, 2311, 513, 1101, 4090, 267, 594, 2491, 875, 13206, 1069, 553, 11225, 519, 1523, 540, 11407, 7881, 18338, 568, 5827, 547, 1450, 519, 13994, 1637, 543, 19908, 1851, 519, 32469, 540, 2798, 540, 2070, 543, 4961, 538, 519, 1699, 7239, 269, 769, 1840, 267, 594, 24705, 23146, 547, 519, 1909, 2923, 1404, 538, 519, 954, 28947, 540, 1114, 9458, 543, 24797, 18531, 538, 1931, 547, 10018, 7399, 540, 25430, 540, 7104, 9840, 538, 519, 1857, 12106, 269, 594, 4061, 15974, 602, 606, 7881, 540, 2792, 3079, 540, 581, 1964, 11712, 547, 2923, 3457, 543, 922, 1766, 894, 6384, 267, 1058, 2015, 741, 4296, 609, 4961, 685, 6405, 2853, 543, 2833, 563, 26596, 325, 7942, 340, 1488, 2692, 1460, 267, 22695, 659, 1470, 282, 6742, 27713, 267, 6480, 1030, 534, 17144, 454, 763, 4070, 540, 519, 1857, 2230, 814, 1831, 538, 519, 2063, 5756, 1945, 865, 1271, 543, 4909, 538, 519, 6189, 540, 519, 4872, 267, 602, 3340, 513, 1808, 9015, 543, 513, 6405, 1353, 602, 27786, 519, 4162, 543, 3527, 593, 621, 269, 3502, 2907, 689, 606, 4683, 2065, 5133, 855, 689, 922, 1378, 1374, 543, 16268, 5133, 267, 609, 922, 1915, 607, 513, 1747, 585, 3025, 543, 585, 3388, 267, 1590, 5531, 513, 3126, 540, 2609, 602, 616, 2189, 547, 713, 2230, 269, 30209, 568, 835, 540, 519, 16437, 652, 4872, 538, 519, 1158, 602, 267, 2094, 519, 1439, 540, 519, 521, 269, 30619, 2394, 938, 2395, 267, 13290, 547, 4194, 519, 1857, 2230, 609, 513, 1374, 540, 2298, 543, 19993, 269, 634, 17732, 540, 1857, 2230, 267, 799, 849, 14747, 811, 982, 5216, 2929, 14666, 1142, 1032, 267, 2306, 621, 2556, 547, 15974, 513, 1826, 540, 22111, 6304, 538, 1931, 547, 13918, 782, 2010, 540, 3755, 543, 2238, 269, 3245, 519, 1101, 17629, 1401, 22128, 540, 476, 6642, 279, 998, 476, 4572, 280, 547, 519, 476, 1960, 273, 21396, 607, 519, 1034, 1271, 17003, 585, 713, 25430, 540, 4683, 2230, 267, 30209, 814, 1044, 556, 628, 9722, 543, 9687, 538, 519, 1110, 639, 1766, 663, 328, 538, 2474, 540, 922, 4683, 2230, 269, 3245, 938, 3318, 1995, 607, 16413, 1312, 538, 519, 18513, 267, 4357, 543, 6280, 21384, 267, 649, 3494, 602, 621, 568, 938, 5539, 547, 24705, 519, 1857, 2230, 267, 602, 568, 547, 2161, 267, 519, 1374, 540, 519, 4683, 5989, 609, 519, 10305, 2556, 547, 19597, 622, 621, 538, 513, 2230, 2672, 3386, 585, 782, 1510, 9868, 543, 607, 513, 1747, 540, 4082, 540, 15114, 269, 3414, 519, 3785, 540, 1857, 2230, 2919, 538, 938, 5604, 649, 786, 5659, 713, 1689, 540, 5650, 538, 519, 4070, 540, 10945, 267, 11614, 543, 824, 5624, 538, 519, 2749, 540, 30209, 563, 289, 1002, 267, 645, 8270, 344, 541, 715, 5919, 25020, 267, 7917, 654, 5919, 667, 532, 267, 7917, 808, 5919, 4521, 1652, 267, 17340, 2421, 717, 5919, 715, 17480, 267, 14880, 595, 1421, 12789, 5919, 21651, 267, 8349, 2106, 918, 5919, 20961, 267, 9995, 324, 788, 681, 563, 1607, 1957, 6799, 606, 7650, 540, 11508, 13489, 13841, 630, 12396, 310, 264, 1184, 1646, 543, 3156, 693, 21244, 6611, 22947, 4741, 630, 5960, 15598, 1040, 674, 14684, 1184, 1646, 3323, 607, 513, 8047, 7279, 855, 4166, 1336, 1489, 689, 1082, 3755, 269, 634, 674, 14684, 1184, 4359, 1360, 3533, 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 ]
[ 519, 18740, 3381, 3014, 1141, 596, 2307, 1142, 7911, 547, 1265, 1919, 602, 568, 513, 22008, 23895, 610, 9059, 552, 2262, 563, 5194, 2856, 568, 547, 2709, 513, 5067, 513, 22008, 290, 2262, 267, 2307, 14500, 952, 4946, 606, 552, 547, 519, 9096, 2306, 513, 6216, 20642, 2262, 269, 5221, 602, 1383, 267, 596, 1522, 2161, 711, 267, 519, 4819, 1131, 1039, 606, 552, 2097, 519, 1439, 543, 2161, 4063, 269, 24872, 8685, 666, 723, 606, 552, 3769, 543, 1439, 909, 1373, 8546, 269, 10699, 666, 1831, 13306, 563, 10666, 713, 22008, 23895, 6096, 454, 1607, 4015, 3568, 476, 736, 3817, 1141, 1053, 786, 2816, 5829, 593, 3501, 22008, 23895, 1913, 642, 519, 15877, 1279, 20262, 3280, 563, 4322, 3817, 666, 3514, 883, 707, 9656, 267, 1101, 3446, 610, 1256, 476, 273, 526, 3446, 2262, 960, 2259, 563, 2005, 568, 2141, 1271, 2097, 1118, 1978, 519, 960, 5829, 596, 616, 3246, 585, 707, 1053, 568, 6209, 267, 5078, 2259, 269, 1411, 7287, 547, 1118, 707, 1053, 1589, 1510, 4758, 17140, 563, 2691, 3384, 891, 3817, 267, 9553, 3804, 729, 547, 1683, 596, 642, 3817, 602, 786, 4497, 1053, 269, 26597, 540, 519, 3817, 7854, 544, 30769, 610, 824, 2370, 2238, 547, 1039, 513, 2370, 1187, 585, 1453, 563, 8450, 811, 281, 589, 13322, 1772, 589, 14635, 2986, 13565, 4578, 2334, 2052, 2142, 853, 1819, 267, 590, 9285, 267, 5029, 1242, 267, 1656, 2372, 518, 1221, 563, 763, 6278, 4062, 723, 519, 1318, 547, 581, 2523, 3730, 1282, 513, 942, 540, 8265, 1565, 256, 14268, 786, 5660, 519, 1507, 3063, 891, 3817, 1683, 269, 0, 1607, 568, 1141, 596, 786, 1451, 875, 547, 5173, 5216, 8536, 2947, 4627, 562, 27197, 14263, 13977, 19317, 2600, 630, 5952, 280, 271, 14263, 476, 3374, 2600, 1040, 1284, 786, 1101, 2491, 543, 9414, 609, 5961, 865, 596, 1205, 513, 2347, 1620, 540, 1018, 476, 5952, 280, 271, 14263, 476, 3374, 2600, 1797, 267, 543, 1287, 649, 786, 2285, 596, 519, 4542, 693, 519, 1360, 1439, 563, 2171, 1376, 676, 6029, 596, 519, 3239, 2630, 540, 513, 4158, 4544, 4216, 602, 3568, 476, 5952, 280, 271, 540, 1945, 563, 3374, 2600, 1797, 476, 3374, 829, 4627, 267, 865, 585, 1142, 4627, 538, 476, 5952, 280, 271, 267, 596, 1616, 547, 10208, 476, 3374, 269, 4935, 267, 596, 7941, 476, 5952, 280, 271, 676, 476, 1911, 543, 1287, 9062, 519, 23479, 676, 476, 3374, 547, 1265, 856, 875, 1454, 547, 10208, 269, 3371, 568, 519, 2979, 547, 5173, 875, 1454, 649, 1058, 10208, 912, 263, 5952, 280, 271, 21680, 476, 1911, 264, 6398, 476, 3374, 454, 2171, 1500, 513, 11909, 4009, 602, 649, 2322, 593, 1283, 540, 519, 3239, 3254, 1657, 547, 9414, 875, 1454, 476, 3374, 2600, 568, 540, 519, 2698, 476, 5952, 280, 271, 912, 763, 4158, 4544, 711, 4988, 909, 676, 519, 11909, 568, 476, 5952, 280, 271, 14263, 476, 3374, 2600, 269, 4935, 267, 649, 3274, 10208, 519, 476, 4968, 277, 269, 276, 689, 476, 5952, 280, 271, 547, 1205, 519, 2626, 912, 5952, 280, 271, 910, 476, 4968, 277, 269, 276, 454, 763, 7778, 543, 12383, 1657, 616, 519, 3872, 1259, 540, 12719, 476, 5952, 280, 271, 14263, 476, 3374, 2600, 269, 1411, 666, 849, 267, 540, 1576, 267, 946, 12596, 547, 5173, 476, 5952, 280, 271, 14263, 476, 3374, 18336, 19350, 649, 1397, 596, 1079, 12596, 602, 596, 666, 946, 547, 5173, 476, 5952, 280, 271, 14263, 476, 3374, 2600, 543, 2147, 2042, 538, 519, 2104, 563, 10831, 910, 16733, 10831, 6398, 20587, 270, 1911, 4917, 5952, 280, 271, 910, 16733, 5952, 280, 271, 6398, 476, 3374, 270, 1911, 4917, 5952, 280, 271, 910, 476, 4968, 277, 269, 276, 454, 10831, 6398, 630, 272, 910, 630, 8110, 1417, 270, 1911, 4917, 5952, 280, 271, 6398, 630, 272, 910, 630, 3374, 270, 1911, 4917, 5952, 280, 271, 6398, 476, 271, 269, 4792, 454, 10831, 3687, 639, 20587, 454, 7883, 1934, 952, 596, 991, 547, 5173, 1022, 824, 1297, 14263, 1022, 824, 2600, 563, 279, 2568, 271, 14263, 476, 3374, 2600, 454, 2080, 568, 519, 1985, 2600, 5850, 593, 938, 1592, 602, 949, 581, 540, 1719, 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 ]
[ 1721, 1775, 2999, 7003, 25225, 264, 13634, 11133, 1499, 815, 16289, 3799, 13246, 267, 1193, 935, 341, 15660, 1729, 320, 25225, 5157, 28413, 328, 10030, 454, 10926, 338, 677, 2529, 331, 823, 3799, 13246, 267, 30775, 5416, 267, 536, 703, 264, 536, 944, 2715, 2132, 2338, 314, 320, 316, 1341, 2338, 314, 321, 316, 3436, 2338, 314, 321, 316, 1341, 2338, 314, 320, 316, 7684, 2020, 753, 28701, 834, 5016, 1721, 9041, 267, 642, 28701, 2039, 2338, 2715, 20735, 6834, 642, 7684, 692, 604, 20735, 314, 271, 316, 2652, 1412, 271, 262, 13634, 8873, 834, 271, 4840, 10926, 8873, 20735, 454, 8679, 32526, 2971, 808, 822, 2444, 2815, 3070, 692, 18606, 12534, 4102, 10831, 815, 1599, 25225, 264, 13634, 604, 263, 15358, 32324, 2652, 476, 271, 3738, 13634, 8873, 834, 257, 3248, 10926, 2280, 2338, 815, 32582, 16963, 1721, 263, 1577, 1775, 815, 476, 271, 282, 1775, 2999, 15358, 32324, 282, 1775, 10030, 3738, 13634, 11133, 1499, 4877, 2313, 25225, 5157, 4940, 1729, 21803, 3890, 11850, 10926, 11133, 1499, 31699, 6600, 4233, 630, 343, 267, 586, 264, 13634, 8873, 1535, 1341, 586, 3436, 586, 1341, 1535, 7790, 910, 272, 2433, 476, 272, 3248, 348, 32007, 2280, 20735, 815, 834, 257, 16963, 1721, 263, 1775, 815, 476, 271, 282, 1775, 2999, 2338, 32324, 282, 1775, 10030, 3738, 19127, 753, 6834, 2338, 5157, 30092, 10926, 8873, 20735, 314, 271, 316, 2652, 834, 271, 257, 7790, 834, 271, 257, 2433, 20735, 3248, 348, 3248, 32526, 4131, 781, 3819, 24507, 938, 5690, 547, 1294, 875, 519, 3070, 1568, 780, 18606, 19152, 281, 15358, 815, 1496, 274, 267, 476, 1789, 267, 476, 4097, 267, 476, 276, 267, 476, 280, 6540, 3721, 476, 272, 281, 15358, 25915, 3890, 2652, 476, 271, 454, 276, 2652, 476, 271, 454, 32401, 692, 3721, 476, 273, 281, 6152, 283, 11415, 285, 2338, 3248, 842, 1775, 815, 476, 271, 16963, 3721, 476, 274, 281, 8520, 1775, 2999, 15358, 25915, 4590, 271, 2999, 476, 276, 454, 25152, 692, 11133, 1499, 4877, 2313, 318, 3724, 263, 560, 323, 15311, 1729, 23952, 25225, 5157, 8079, 2020, 810, 519, 8520, 12055, 919, 689, 476, 271, 547, 476, 275, 267, 543, 649, 16289, 519, 5569, 2338, 692, 11133, 1499, 815, 22373, 274, 2580, 834, 1789, 2580, 834, 4097, 2580, 834, 276, 2580, 834, 280, 257, 6540, 3721, 476, 275, 281, 4990, 3799, 13246, 269, 8218, 19572, 2338, 269, 754, 19572, 4699, 335, 2020, 2260, 538, 4699, 335, 1599, 454, 3721, 476, 276, 281, 2132, 513, 1341, 536, 3436, 536, 1341, 513, 692, 810, 585, 1101, 1079, 3693, 649, 2638, 454, 257, 274, 257, 1341, 834, 1789, 257, 3436, 834, 1789, 257, 1341, 834, 274, 4840, 257, 20065, 257, 3436, 834, 24062, 4840, 25152, 692, 257, 274, 257, 1341, 834, 4097, 257, 3436, 834, 4097, 257, 1341, 834, 274, 4840, 257, 31172, 257, 3436, 834, 29340, 4840, 32401, 692, 257, 276, 257, 1341, 834, 4097, 257, 3436, 834, 4097, 257, 1341, 834, 276, 4840, 257, 276, 4097, 257, 3436, 834, 24833, 4840, 25152, 692, 257, 280, 257, 1341, 834, 276, 257, 3436, 834, 276, 257, 1341, 834, 280, 4840, 257, 4817, 257, 3436, 834, 6795, 4840, 25152, 692, 763, 3803, 5044, 568, 22373, 280, 2580, 834, 276, 2580, 834, 4097, 2580, 834, 274, 2580, 834, 1789, 19312, 780, 3721, 476, 277, 281, 5569, 20735, 815, 834, 5016, 3721, 476, 278, 281, 8520, 585, 9217, 815, 476, 271, 282, 1775, 2999, 2338, 25915, 3890, 282, 1775, 10030, 994, 268, 20735, 6834, 2338, 5157, 2639, 753, 568, 1305, 547, 834, 4817, 274, 275, 3451, 271, 5016, 3721, 476, 279, 281, 20735, 314, 271, 316, 2652, 834, 271, 4840, 257, 280, 257, 2652, 834, 271, 4840, 32401, 454, 8873, 20735, 692, 3383, 649, 2132, 519, 1267, 607, 834, 4817, 274, 275, 3451, 271, 8487, 18606, 0, 2162, 1772, 550, 22241, 6713, 26457, 19392, 910, 26457, 19392, 692, 2304, 568, 550, 22241, 1184, 568, 835, 538, 799, 519, 23811, 540, 519, 5714, 3788, 3586, 269, 901, 786, 581, 3020, 952, 519, 1184, 519, 1062, 4422, 998, 568, 31181, 543, 740, 328, 629, 1738, 269, 1323, 568, 550, 22241, 1184, 666, 849, 581, 1572, 513, 3586, 23811, 1184, 780, 3674, 550, 22241, 22948, 540, 26758, 717, 1162, 609, 19693, 16930, 1261, 1846, 12307, 1384, 259, 346, 338, 13925, 273, 18511, 346, 338, 13925, 272, 13157, 271, 28121, 290, 13925, 341, 269, 1511, 4153, 9507, 346, 15238, 4153, 2765, 13997, 307, 13925, 273, 12453, 346, 307, 13925, 272, 3686, 266, 305, 315, 9507, 346, 15238, 4153, 2765, 13997, 341, 13925, 273, 12453, 346, 341, 13925, 272, 3686, 528, 315, 9507, 346, 15238, 4153, 2765, 13997, 307, 13925, 273, 12453, 346, 307, 13925, 272, 3686, 284, 10559, 2765, 23334, 2410, 346, 290, 13925, 341, 269, 1511, 14990, 9507, 346, 15238, 4153, 2765, 13997, 341, 13925, 273, 12453, 346, 341, 13925, 272, 32556, 259, 346, 338, 13925, 273, 18511, 346, 338, 13925, 272, 13157, 271, 28121, 290, 13925, 341, 269, 1511, 4153, 9507, 346, 15238, 4153, 2765, 13997, 307, 13925, 273, 12453, 346, 307, 13925, 272, 3686, 266, 305, 315, 9507, 346, 15238, 4153, 2765, 13997, 303, 13925, 273, 12453, 346, 303, 13925, 272, 3686, 528, 315, 9507, 346, 15238, 4153, 2765, 13997, 307, 13925, 273, 12453, 346, 307, 13925, 272, 3686, 284, 10559, 2765, 23334, 2410, 346, 290, 13925, 341, 269, 1511, 14990, 9507, 346, 15238, 4153, 2765, 13997, 303, 13925, 273, 12453, 346, 303, 13925, 272, 32556, 8489, 281, 681, 815, 595, 335, 910, 595, 341, 692, 3674, 550, 22241, 22948, 540, 26758, 717, 1162, 609, 19693, 16930, 1261, 1846, 1107, 5415, 5871, 4813, 780, 4322, 666, 581, 16866, 547, 1384, 21851, 3847, 7268, 2765, 13997, 307, 13925, 273, 12453, 346, 307, 13925, 272, 14990, 2431, 264, 13925, 338, 284, 6247, 656, 13157, 3189, 3847, 7268, 2765, 13997, 341, 13925, 273, 12453, 346, 341, 13925, 272, 14990, 2431, 264, 8703, 330, 268, 272, 13157, 3189, 3847, 7268, 2765, 13997, 303, 13925, 273, 12453, 346, 303, 13925, 272, 14990, 2431, 264, 23685, 2765, 346, 330, 268, 272, 2410, 330, 22288 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 568, 513, 1611, 1606, 2869, 1243, 23769, 2044, 540, 519, 28665, 540, 16495, 269, 1656, 5626, 24178, 1143, 568, 7301, 1317, 649, 666, 538, 1249, 957, 2390, 1649, 5271, 565, 550, 267, 1875, 268, 1122, 334, 2065, 24500, 269, 9747, 267, 621, 568, 2009, 585, 1480, 7919, 5963, 547, 581, 25432, 4075, 6681, 269, 4935, 267, 16495, 568, 968, 9418, 3034, 24171, 631, 2246, 1676, 269, 14731, 670, 583, 2583, 517, 281, 5565, 31157, 593, 5274, 7186, 12649, 676, 4460, 670, 269, 10158, 332, 871, 630, 23486, 264, 630, 10594, 3373, 538, 670, 2541, 5525, 2073, 11730, 30619, 267, 3143, 476, 273, 630, 21776, 267, 476, 1960, 275, 1070, 6032, 269, 476, 30640, 268, 29574, 994, 310, 599, 332, 871, 779, 2689, 5267, 602, 519, 1292, 2956, 540, 519, 1433, 568, 922, 7291, 540, 1018, 670, 583, 2583, 517, 11099, 513, 5837, 3069, 1058, 798, 269, 634, 1349, 1657, 8711, 670, 583, 2583, 517, 779, 5837, 1788, 281, 1996, 1312, 16495, 2938, 607, 1582, 29027, 543, 519, 533, 612, 574, 2065, 3661, 602, 1004, 786, 2141, 957, 538, 513, 1582, 29027, 539, 1259, 269, 0, 12709, 16193, 2622, 2657, 9257, 454, 13328, 2657, 9257, 13565, 12474, 454, 4407, 1034, 540, 721, 786, 711, 581, 2111, 547, 1294, 4191, 540, 5533, 3330, 938, 5321, 267, 519, 2011, 2298, 540, 11255, 5624, 568, 4742, 8338, 607, 6517, 267, 1379, 2371, 543, 4070, 3785, 3136, 547, 20739, 752, 741, 3542, 5024, 688, 22106, 593, 5177, 4872, 454, 7804, 962, 1407, 29315, 8291, 267, 11660, 10615, 693, 519, 16275, 16281, 4659, 540, 28544, 7710, 875, 4516, 779, 3173, 616, 5870, 519, 2115, 540, 606, 30333, 2551, 267, 1631, 543, 538, 519, 2104, 454, 15411, 7457, 6554, 7710, 519, 960, 540, 519, 2622, 2657, 9257, 630, 21766, 264, 13636, 8433, 585, 4000, 538, 21365, 11763, 3676, 267, 1519, 21061, 630, 307, 289, 994, 30267, 3220, 6154, 574, 583, 5576, 2993, 612, 267, 10615, 540, 3163, 1299, 16743, 693, 4515, 559, 2382, 26623, 24166, 853, 4752, 933, 577, 1345, 832, 577, 2426, 717, 3387, 295, 6941, 519, 1271, 1909, 540, 5647, 950, 621, 2501, 547, 2635, 2713, 543, 3742, 30333, 267, 1519, 1010, 4555, 593, 519, 3987, 17565, 454, 6624, 1004, 1810, 1406, 29311, 519, 2800, 602, 10269, 946, 1281, 547, 519, 2295, 267, 513, 3056, 6315, 6048, 814, 19230, 454, 763, 5177, 5398, 2657, 21826, 8081, 12243, 568, 1373, 18611, 547, 519, 14891, 6243, 540, 22096, 547, 948, 1852, 519, 12176, 540, 24954, 3644, 2068, 454, 10112, 1539, 622, 7905, 693, 2160, 540, 14642, 5979, 267, 3220, 25288, 808, 269, 13584, 2488, 606, 7650, 540, 8471, 1072, 3795, 630, 308, 18449, 264, 543, 1946, 713, 568, 1271, 538, 4000, 950, 621, 2501, 547, 519, 1533, 267, 15114, 267, 3782, 543, 10304, 454, 763, 2622, 2657, 9257, 779, 8471, 1072, 3795, 630, 308, 18449, 264, 11036, 267, 7132, 519, 7269, 540, 1072, 6142, 538, 4000, 616, 8268, 1934, 676, 7046, 7457, 6554, 454, 1607, 1032, 779, 11812, 540, 4139, 6468, 779, 4303, 14626, 1938, 609, 3864, 12057, 5717, 593, 513, 6069, 6034, 633, 593, 4518, 21509, 18696, 585, 14268, 543, 5516, 3464, 454, 21837, 670, 3212, 344, 2023, 269, 1912, 6185, 1421, 7905, 540, 11061, 693, 24144, 3557, 2160, 7710, 519, 3356, 1373, 1500, 593, 13663, 538, 519, 1158, 2221, 634, 5993, 1867, 9783, 676, 519, 2622, 2657, 9257, 630, 21766, 264, 602, 13475, 13663, 1158, 17253, 3357, 856, 693, 519, 1439, 540, 5437, 476, 1001, 278, 543, 621, 729, 711, 15260, 1005, 547, 2483, 7804, 6276, 570, 756, 2658, 3570, 689, 5689, 7559, 3117, 24832, 21048, 2812, 519, 5013, 827, 519, 2518, 3804, 547, 9004, 13663, 769, 519, 2250, 8717, 267, 519, 8321, 566, 540, 13663, 17594, 814, 1044, 1164, 593, 519, 16786, 269, 26805, 13663, 7972, 543, 519, 1297, 540, 8995, 13663, 2665, 676, 693, 2547, 476, 3445, 260, 543, 14874, 621, 538, 693, 2483, 5472, 269, 4692, 8843, 741, 7096, 4030, 883, 519, 2591, 7282, 519, 991, 547, 2087, 519, 4398, 540, 2860, 1416, 267, 2519, 593, 1732, 4093, 585, 2550, 16195, 23348, 616, 896, 2810, 2604, 269, 1284, 3068, 606, 14849, 2243, 827, 875, 649, 666, 2844, 1164, 7779, 3782, 269, 2353, 269, 4692, 568, 606, 3486, 3818, 3613, 820, 14516, 11036, 1305, 909, 2483, 305, 2135, 2033, 674, 11839, 267, 10960, 8234, 292, 2202, 14199, 29731, 2488, 513, 4241, 5813, 883, 519, 2518, 4161, 540, 15084, 4187, 25095, 7821, 723, 1185, 1360, 2318, 2360, 593, 3662, 1072, 936, 519, 1296, 269, 3776, 10130, 616, 2713, 1454, 3476, 982, 789, 941, 5756, 3516, 543, 13184, 616, 6659, 1454, 811, 7561, 998, 938, 2702, 547, 1852, 2483, 763, 2622, 2657, 25944, 568, 2324, 2509, 12581, 543, 4264, 1072, 538, 2342, 267, 607, 7046, 7457, 6554, 9060, 856, 14568, 267, 811, 12581, 543, 4264, 1072, 585, 2342, 11225, 519, 3119, 2832, 602, 634, 2622, 2657, 25944, 538, 519, 3864, 16323, 630, 21766, 27582, 2202, 264, 568, 2324, 2509, 543, 20678, 547, 3035, 269, 13786, 1043, 585, 1857, 2483, 13825, 788, 3131, 330, 689, 519, 3864, 5980, 540, 9315, 5735, 12909, 827, 2409, 540, 7303, 9025, 3676, 543, 1382, 883, 524, 999, 454, 10890, 12079, 10118, 689, 2066, 519, 8608, 616, 1305, 547, 2743, 538, 5333, 543, 32410, 547, 13497, 2569, 26601, 5028, 7972, 676, 476, 10711, 271, 454, 17951, 11253, 24261, 267, 16628, 267, 634, 26741, 13268, 1645, 7577, 13456, 12909, 827, 4101, 14453, 4411, 5832, 11183, 15007, 563, 763, 2622, 2657, 9257, 267, 3081, 2369, 2358, 12110, 607, 513, 1857, 1072, 10862, 568, 1883, 547, 5466, 519, 2783, 11451, 454, 32481, 476, 1015, 268, 1428, 829, 1298, 540, 2021, 7985, 2022, 31691, 4965, 1310, 4758, 4332, 269, 901, 1032, 779, 2622, 2657, 4303, 786, 5031, 713, 1271, 3390, 454, 28158, 2962, 593, 7486, 543, 10194, 17537, 568, 693, 513, 2556, 7432, 1448, 547, 2743, 476, 10711, 271, 12676, 19199, 267, 11339, 3220, 16549, 3716, 667, 4673, 540, 519, 14959, 13636, 8433, 585, 2342, 476, 10711, 271, 568, 513, 24182, 1032, 585, 1158, 3401, 267, 543, 585, 782, 540, 721, 267, 607, 938, 2962, 547, 1439, 519, 15978, 543, 17537, 1862, 0, 13434, 867, 539, 3239, 568, 7683, 28811, 4528, 540, 519, 3312, 267, 1483, 6429, 269, 1546, 4565, 1005, 568, 1360, 1271, 585, 3239, 4393, 543, 7311, 538, 2104, 269, 1703, 568, 513, 2647, 2039, 540, 9714, 725, 547, 581, 4988, 267, 971, 607, 281, 20747, 2590, 267, 12166, 12159, 267, 20541, 687, 540, 21386, 543, 2681, 630, 1410, 17068, 267, 25294, 264, 543, 6846, 269, 2349, 1005, 666, 581, 3361, 676, 3350, 1063, 519, 8254, 543, 519, 3312, 6429, 610, 676, 9804, 1062, 602, 568, 711, 10502, 5059, 269, 769, 2011, 11147, 267, 799, 616, 5497, 585, 6552, 2542, 267, 20747, 2590, 2808, 607, 11626, 31285, 267, 11539, 540, 9804, 1062, 543, 519, 3448, 5163, 1063, 519, 8254, 543, 519, 3047, 781, 2627, 269, 901, 2186, 540, 20747, 2590, 568, 711, 1152, 4294, 547, 9804, 2592, 269, 4746, 17223, 29821, 31554, 568, 16271, 547, 519, 8840, 909, 540, 2473, 11920, 269, 7913, 3239, 11808, 568, 4090, 748, 1966, 602, 9060, 27115, 538, 1082, 3621, 2127, 267, 971, 607, 281, 2564, 26129, 267, 4108, 8343, 267, 24666, 543, 9682, 2592, 267, 6552, 2542, 543, 824, 269, 4635, 2409, 585, 3239, 11808, 267, 10924, 602, 519, 2934, 540, 519, 1062, 602, 9714, 525, 2592, 267, 616, 1634, 538, 4434, 269, 769, 17122, 1448, 538, 713, 1788, 267, 786, 581, 2409, 585, 3239, 3181, 331, 1005, 267, 12343, 676, 7833, 5276, 5163, 269, 901, 2409, 616, 21246, 958, 1271, 538, 3156, 602, 616, 17640, 547, 4894, 20747, 2590, 538, 1535, 11920, 2592, 267, 538, 519, 1062, 585, 13128, 6284, 540, 14261, 3349, 2264, 267, 519, 3046, 2275, 1712, 2592, 585, 700, 7374, 7641, 338, 543, 21697, 543, 1866, 563, 2026, 513, 1267, 540, 938, 1544, 539, 1382, 267, 649, 3494, 602, 649, 786, 1205, 1007, 2093, 585, 8888, 513, 811, 3501, 1062, 585, 3239, 19620, 269, 1280, 3239, 11808, 616, 7311, 1079, 2010, 540, 2409, 281, 7317, 543, 1100, 7317, 2409, 269, 20308, 2409, 616, 1031, 950, 7508, 2347, 1344, 827, 519, 1184, 540, 12159, 540, 2592, 269, 3776, 1382, 786, 581, 2377, 3430, 1194, 547, 1020, 1007, 1463, 2409, 609, 4857, 6771, 1599, 540, 20747, 2590, 269, 1703, 568, 513, 1804, 1362, 540, 12086, 585, 3239, 11808, 602, 616, 1759, 593, 6240, 540, 2547, 10945, 267, 1634, 607, 2274, 770, 8293, 4100, 8606, 1562, 630, 11862, 293, 1040, 1284, 786, 946, 1079, 540, 873, 538, 938, 1788, 281, 654, 1329, 518, 6882, 543, 700, 306, 293, 609, 7182, 269, 654, 1329, 518, 6882, 568, 513, 5276, 543, 22883, 6053, 23223, 656, 6882, 267, 602, 24024, 519, 1611, 4009, 5470, 1063, 519, 4998, 543, 519, 17468, 3239, 269, 4790, 11712, 700, 306, 293, 568, 849, 513, 5276, 543, 22883, 6053, 23223, 656, 6882, 543, 585, 922, 1374, 621, 779, 2556, 547, 7447, 519, 1611, 543, 13065, 540, 6846, 269, 901, 568, 606, 1271, 5413, 540, 713, 1505, 267, 1317, 891, 1079, 6724, 666, 581, 7447, 689, 519, 28811, 3239, 269, 5637, 540, 891, 12086, 616, 2356, 7598, 538, 4908, 6389, 267, 609, 519, 15409, 3252, 269, 5637, 5018, 2409, 616, 1463, 2409, 267, 799, 1797, 602, 519, 3070, 568, 5833, 1152, 609, 835, 6388, 563, 1607, 267, 7768, 609, 13581, 13668, 585, 9273, 543, 1434, 7811, 2497, 540, 519, 1966, 267, 1500, 519, 4480, 540, 5276, 19003, 1082, 1296, 606, 1898, 1907, 585, 3239, 11808, 269, 1717, 267, 972, 616, 22357, 2409, 267, 4171, 3844, 7687, 616, 602, 741, 2623, 3112, 2141, 581, 10567, 543, 3622, 789, 2154, 25006, 811, 12985, 2200, 267, 4061, 538, 2127, 1141, 621, 568, 2324, 538, 1483, 942, 267, 741, 3498, 568, 711, 2009, 269, 2290, 540, 519, 1134, 8153, 6620, 540, 713, 1826, 568, 519, 21667, 7304, 747, 1841, 517, 5690, 267, 2919, 10446, 676, 27672, 517, 543, 21667, 269, 1306, 609, 824, 22357, 2409, 267, 519, 2243, 950, 649, 991, 547, 3247, 519, 21667, 7304, 747, 1841, 517, 5690, 568, 1360, 16609, 267, 543, 621, 18387, 1406, 4890, 2626, 267, 865, 1419, 649, 991, 547, 2268, 519, 3977, 543, 950, 519, 1267, 568, 7850, 585, 606, 3169, 3498, 267, 649, 786, 3247, 519, 5690, 563, 7093, 16227, 4330, 2409, 585, 3239, 11808, 616, 7691, 607, 3824, 11712, 2934, 538, 519, 3301, 10189, 30731, 543, 2409, 799, 786, 581, 2919, 609, 713, 1382, 786, 581, 3379, 609, 873, 269, 0, 11045, 11915, 10049, 11045, 11915, 27084, 269, 1717, 267, 3608, 543, 2922, 6765, 540, 1507, 23313, 23978, 883, 5551, 2281, 610, 2281, 3091, 20240, 14053, 267, 2523, 585, 2182, 3562, 20675, 2739, 20022, 2281, 269, 3683, 519, 2250, 8717, 267, 1082, 23313, 11748, 6765, 2409, 723, 1044, 2919, 547, 3986, 10408, 19718, 540, 23313, 23978, 269, 276, 7324, 873, 267, 513, 1920, 540, 20188, 20543, 630, 299, 301, 11679, 264, 1634, 607, 11689, 1242, 31332, 3679, 20188, 5536, 630, 306, 2793, 10861, 338, 1070, 21843, 4440, 519, 1034, 24802, 4359, 1935, 585, 23313, 11748, 6765, 1317, 540, 519, 1164, 23313, 11748, 10276, 322, 2355, 1637, 4398, 543, 1970, 6375, 8328, 3601, 267, 543, 616, 4867, 1373, 11117, 538, 4791, 8062, 269, 277, 267, 278, 267, 279, 267, 280, 769, 590, 2793, 10861, 338, 267, 23313, 11748, 568, 20206, 4327, 538, 513, 7848, 540, 535, 639, 8328, 524, 566, 545, 26307, 6718, 6601, 26709, 514, 589, 543, 25961, 9243, 26307, 267, 22862, 609, 886, 639, 1043, 4874, 26120, 28340, 630, 303, 9680, 9984, 28309, 1749, 547, 24644, 519, 13439, 1417, 5536, 543, 2569, 519, 7681, 609, 16796, 5946, 269, 1015, 634, 524, 566, 545, 26307, 538, 590, 2793, 10861, 338, 1685, 1883, 5107, 585, 519, 1494, 1890, 540, 590, 2793, 10861, 338, 267, 1317, 789, 7119, 538, 519, 20206, 1637, 540, 11874, 9901, 23313, 23978, 267, 1199, 5573, 1439, 26014, 2670, 676, 15025, 609, 519, 11874, 9901, 1591, 6718, 6601, 26709, 514, 589, 11919, 9245, 543, 7520, 7766, 1439, 23865, 9101, 540, 519, 23313, 11748, 18535, 269, 279, 267, 280, 6736, 590, 2793, 10861, 779, 3811, 23313, 11748, 6765, 883, 10856, 561, 1392, 267, 741, 2702, 547, 5838, 23313, 11748, 883, 20022, 2281, 267, 2523, 26679, 2281, 267, 814, 711, 1044, 4080, 269, 12246, 335, 3290, 2281, 267, 971, 607, 3119, 1973, 2281, 543, 6718, 6601, 26709, 514, 589, 26679, 2281, 616, 1134, 1634, 547, 581, 2182, 547, 1098, 2739, 676, 3044, 20188, 543, 12249, 2861, 31332, 3679 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 3953, 10195, 267, 519, 4102, 540, 799, 616, 2142, 638, 807, 267, 18771, 1664, 267, 2052, 537, 534, 267, 543, 5742, 269, 2368, 540, 519, 4130, 10195, 616, 27352, 11262, 563, 24404, 1778, 281, 26439, 545, 543, 29990, 267, 609, 519, 5207, 8445, 267, 27804, 325, 686, 699, 267, 8375, 547, 476, 272, 267, 25546, 7397, 630, 275, 267, 1822, 10264, 28593, 13233, 640, 281, 715, 1735, 543, 18781, 734, 309, 514, 1417, 1014, 563, 16954, 1637, 630, 1220, 279, 2567, 476, 14093, 267, 1822, 563, 25486, 783, 2208, 2557, 630, 1220, 277, 2567, 476, 271, 269, 276, 18336, 20685, 5371, 2516, 281, 3979, 16350, 630, 5780, 15992, 6404, 630, 866, 15992, 4639, 4095, 630, 277, 15992, 2961, 756, 4095, 630, 273, 15992, 824, 630, 278, 260, 1916, 9824, 580, 687, 281, 29842, 534, 630, 5325, 15992, 6396, 626, 630, 2764, 15992, 4936, 7826, 630, 1724, 15992, 824, 17557, 29559, 267, 1530, 22770, 6377, 13491, 626, 267, 543, 9699, 563, 23458, 281, 2296, 630, 334, 24810, 5148, 930, 3943, 4793, 12251, 9275, 563, 19733, 630, 1220, 275, 2567, 16989, 7924, 734, 6434, 269, 272, 18336, 10890, 630, 1220, 277, 2567, 23862, 9019, 2557, 734, 1704, 270, 272, 267, 1822, 269, 5020, 19104, 734, 5443, 476, 7597, 1296, 282, 2021, 476, 10619, 1296, 563, 13480, 4403, 630, 1220, 277, 2567, 476, 6872, 267, 277, 4817, 563, 4462, 655, 7877, 630, 1220, 275, 2567, 476, 1321, 18336, 13911, 281, 12057, 776, 9111, 282, 4830, 19988, 1533, 1369, 519, 20448, 563, 5715, 11163, 281, 5239, 476, 2767, 267, 476, 3192, 280, 563, 17746, 3191, 281, 5239, 476, 2767, 267, 476, 3192, 280, 563, 289, 3757, 2583, 281, 15445, 734, 326, 4261, 528, 2489, 630, 10517, 6974, 532, 10348, 10906, 4083, 267, 2212, 540, 1533, 1070, 6305, 14012, 630, 3650, 540, 2229, 1070, 22277, 269, 22694, 894, 734, 684, 545, 600, 1968, 23328, 609, 476, 1428, 2173, 1897, 11221, 5600, 540, 13909, 543, 3670, 2173, 1897, 12912, 14130, 269, 7225, 2772, 734, 23251, 2774, 10470, 267, 8109, 12144, 10966, 7040, 630, 11947, 7040, 543, 7040, 540, 2561, 324, 1023, 1070, 3803, 9029, 547, 519, 17658, 344, 7027, 538, 5507, 563, 8138, 15965, 2888, 281, 14520, 1612, 8460, 563, 303, 11823, 6105, 281, 30767, 23267, 9549, 630, 8085, 303, 267, 1651, 3518, 550, 1070, 1715, 14891, 9549, 630, 301, 7894, 1916, 306, 4428, 14141, 281, 17629, 693, 476, 1240, 563, 294, 7894, 630, 1220, 277, 2567, 1269, 32455, 269, 276, 2929, 563, 294, 7894, 2208, 630, 1220, 276, 2567, 476, 275, 269, 280, 18336, 8110, 21027, 12654, 630, 1220, 276, 2567, 1269, 274, 267, 6795, 275, 563, 14813, 3175, 630, 1220, 277, 2567, 476, 274, 269, 271, 18336, 20332, 2200, 281, 7033, 828, 563, 13070, 3472, 675, 281, 4107, 569, 20397, 563, 26581, 787, 281, 21311, 2472, 267, 1426, 4393, 267, 9160, 267, 11647, 267, 7802, 267, 20566, 267, 543, 28052, 757, 563, 307, 8565, 630, 1220, 276, 2567, 1401, 7964, 734, 259, 2412, 2929, 630, 1067, 577, 663, 1047, 264, 543, 1269, 14028, 2929, 630, 1260, 14293, 2533, 1040, 11683, 6990, 734, 28158, 5742, 630, 2767, 269, 273, 15992, 15016, 15606, 630, 1321, 269, 278, 15992, 2558, 514, 21059, 543, 18578, 6210, 630, 1321, 269, 274, 15992, 12142, 12359, 807, 630, 1015, 269, 280, 15992, 543, 519, 2136, 2276, 630, 280, 269, 273, 22103, 7383, 338, 734, 259, 13301, 2929, 630, 1067, 577, 663, 1047, 264, 543, 1269, 10619, 2929, 630, 1260, 14293, 2533, 1040, 11683, 14273, 734, 18197, 2276, 630, 3451, 269, 274, 15992, 2558, 514, 21059, 543, 18578, 6210, 630, 2537, 269, 277, 15992, 3864, 5742, 630, 1428, 269, 272, 15992, 3567, 630, 275, 269, 273, 15992, 543, 15016, 15606, 630, 274, 269, 280, 260, 1916, 302, 24810, 5385, 2557, 281, 10566, 259, 273, 269, 3583, 815, 772, 2529, 269, 1269, 272, 563, 7197, 27673, 2103, 616, 519, 18939, 540, 3979, 10437, 4547, 547, 519, 6532, 547, 960, 593, 24914, 269, 1703, 849, 616, 513, 1906, 3043, 18939, 540, 2296, 21152, 267, 607, 1134, 607, 930, 5101, 12075, 267, 2961, 756, 12075, 267, 543, 513, 521, 14184, 12102, 540, 6404, 5198, 269, 634, 2197, 781, 4013, 1893, 568, 2296, 267, 855, 513, 3943, 1273, 12251, 949, 581, 4862, 593, 930, 540, 519, 717, 1066, 611, 710, 11866, 563, 10111, 756, 12075, 26490, 1947, 15286, 3864, 11175, 593, 853, 269, 27673, 2394, 519, 476, 1240, 628, 2540, 269, 3979, 10437, 734, 31347, 6928, 342, 516, 22486, 610, 23012, 689, 853, 269, 12359, 807, 543, 717, 1066, 3385, 543, 5275, 9675, 538, 853, 269, 27673, 734, 5793, 3405, 3072, 609, 519, 2961, 756, 338, 543, 2968, 1634, 607, 834, 18872, 2961, 756, 338, 1701, 22073, 538, 476, 14378, 280, 267, 3943, 13896, 16916, 6995, 267, 10269, 267, 967, 15282, 267, 10412, 267, 543, 4006, 593, 24914, 5249, 676, 3979, 10437, 269, 769, 476, 12293, 274, 267, 853, 269, 27673, 729, 524, 17660, 547, 6628, 269, 10163, 1819, 547, 3943, 4341, 538, 476, 10082, 280, 267, 853, 269, 27673, 729, 1036, 7134, 676, 519, 3703, 896, 519, 15521, 540, 12411, 320, 14792, 538, 476, 9965, 274, 269, 18366, 1063, 519, 3703, 543, 519, 3109, 2961, 756, 338, 4797, 2394, 476, 9692, 277, 267, 950, 4937, 589, 828, 322, 19407, 773, 16760, 513, 27693, 535, 558, 5034, 676, 519, 3943, 9097, 8841, 18018, 1132, 269, 2859, 982, 476, 276, 267, 1822, 3109, 2961, 756, 338, 941, 5555, 1244, 9285, 547, 10162, 27979, 267, 606, 6532, 1055, 519, 5032, 540, 670, 1180, 32136, 563, 306, 18561, 729, 27618, 538, 476, 8146, 275, 282, 519, 4611, 4074, 22520, 593, 519, 24914, 13631, 14082, 11082, 538, 519, 476, 7277, 271, 338, 543, 7532, 12075, 538, 519, 476, 5908, 271, 338, 269, 17148, 7283, 10792, 585, 1312, 5449, 10437, 543, 19366, 6694, 4600, 267, 607, 20158, 1158, 4006, 5777, 6854, 519, 4346, 24715, 656, 2394, 519, 2490, 540, 519, 2540, 563, 5804, 476, 12293, 274, 2394, 7115, 267, 853, 269, 27673, 5293, 998, 1585, 5933, 540, 7810, 4567, 896, 519, 3703, 269, 589, 11347, 10198, 729, 17101, 538, 476, 10082, 277, 267, 22477, 2051, 3415, 2229, 8704, 538, 476, 6942, 278, 267, 513, 15424, 14643, 2813, 538, 476, 4572, 276, 267, 543, 8471, 2937, 27049, 11292, 538, 476, 4198, 272, 563, 7628, 713, 1974, 267, 519, 3703, 1500, 1896, 28336, 8942, 547, 24988, 853, 269, 27673, 609, 824, 6489, 1189, 11866, 538, 1931, 547, 1827, 519, 3148, 998, 513, 19618, 7245, 269, 634, 1034, 8037, 729, 519, 4639, 28851, 18966, 267, 799, 25540, 538, 476, 3422, 273, 269, 853, 269, 27673, 729, 11292, 12314, 1533, 3125, 4567, 538, 476, 3422, 280, 267, 4758, 621, 2347, 1852, 936, 922, 4835, 12602, 269, 11374, 513, 22275, 31558, 538, 476, 3192, 280, 267, 853, 269, 27673, 543, 519, 717, 1066, 611, 1149, 2968, 519, 2063, 540, 519, 6489, 1189, 11866, 547, 2744, 7115, 563, 20332, 12469, 723, 12735, 4240, 519, 2197, 2429, 519, 476, 736, 628, 2540, 269, 769, 476, 5002, 273, 267, 519, 5487, 27804, 325, 686, 699, 18962, 30192, 267, 11318, 476, 273, 267, 1822, 1004, 269, 13518, 3484, 1633, 729, 8697, 267, 543, 519, 4346, 14016, 730, 269, 769, 4989, 476, 3192, 280, 267, 5487, 27804, 325, 686, 699, 30192, 1586, 269, 4014, 1100, 835, 729, 7166, 267, 5215, 1185, 547, 581, 17355, 18050, 267, 543, 972, 729, 3573, 6694, 3441, 269, 769, 476, 2735, 271, 543, 476, 2735, 278, 267, 24377, 10969, 730, 19337, 543, 17310, 24914, 282, 476, 1960, 279, 543, 476, 1960, 280, 849, 4718, 1360, 3742, 19996, 12405, 267, 609, 23587, 700, 10154, 538, 476, 1960, 280, 4929, 3573, 3441, 547, 519, 7178, 5032, 540, 519, 6532, 563, 1805, 269, 27673, 543, 519, 717, 1066, 611, 1149, 568, 513, 25931, 9111, 1369, 519, 20448, 540, 8315, 269, 10348, 10906, 4083, 568, 2212, 540, 1533, 543, 568, 6719, 593, 519, 6532, 676, 513, 17294, 2489, 267, 606, 5604, 609, 6140, 30060, 3252, 269, 6513, 540, 519, 2229, 26520, 609, 519, 6305, 14012, 543, 519, 22277, 563, 763, 14618, 568, 513, 27033, 600, 1968, 1560, 267, 9967, 540, 476, 1428, 11221, 2818, 543, 3670, 12912, 6845, 2209, 269, 634, 17294, 2489, 6966, 338, 6845, 2209, 267, 2185, 593, 519, 5796, 540, 519, 6305, 14012, 543, 1079, 593, 519, 5796, 540, 519, 6205, 540, 519, 11685, 269, 634, 25931, 2165, 540, 5604, 568, 2947, 1296, 267, 4352, 519, 6305, 14012, 949, 1289, 12836, 693, 1022, 942, 563, 2026, 538, 824, 2296, 18702, 12144, 2477, 267, 519, 4140, 26547, 538, 853, 269, 27673, 568, 12082, 538, 3703, 1455, 1876, 269, 1703, 616, 476, 1556, 10470, 538, 1614, 4012, 3563, 658, 13102, 269, 634, 8109, 12144, 10966, 7040, 267, 16030, 513, 4400, 7040, 543, 513, 7040, 540, 2561, 324, 1023, 267, 568, 1634, 538, 853, 269, 27673, 607, 519, 853, 269, 27673, 543, 519, 717, 1066, 611, 1149, 10966, 7040, 269, 634, 5480, 540, 2063, 18992, 568, 519, 16324, 12233, 540, 4173, 20727, 17965, 781, 17658, 344, 7027, 538, 5507, 563, 2467, 568, 1100, 2199, 2229, 538, 853, 269, 27673, 267, 543, 782, 3670, 1612, 8460, 616, 13950, 676, 519, 3844, 2229, 563, 32459, 7625, 6554, 12079, 10118, 454, 23175, 540, 3557, 734, 20075, 523, 10906, 4083, 454, 294, 4261, 528, 4937, 734, 306, 597, 19291, 11831, 656, 344, 928, 454, 28269, 10579, 734, 305, 19563, 661, 269, 717, 976, 531, 1407, 454, 14737, 3563, 540, 14579, 16457, 267, 25642, 267, 543, 11780, 734, 306, 597, 8402, 18135, 12027, 454, 288, 3387, 26513, 547, 519, 2136, 2276, 543, 519, 744, 3008, 734, 17442, 595, 20782, 13584, 454, 303, 9007, 550, 11724, 894, 547, 519, 6167, 734, 23173, 21034, 717, 976, 531, 1407, 454, 1805, 269, 27673, 543, 519, 717, 1066, 611, 1149, 15387, 606, 2377, 29983, 693, 476, 25834, 277, 1715, 6792, 589, 557, 1421, 32065, 267, 6115, 267, 9823, 476, 1220, 1626, 630, 339, 601, 269, 476, 1708, 268, 3607, 275, 268, 6858, 274, 271, 1040, 853, 269, 27673, 849, 814, 513, 931, 592, 17055, 538, 1715, 3840, 563, 763, 4658, 781, 11572, 9549, 630, 13048, 303, 1070, 8547, 538, 476, 4198, 273, 676, 661, 321, 2940, 10045, 26056, 267, 729, 519, 1101, 2101, 2797, 5428, 538, 853, 269, 27673, 269, 634, 623, 13048, 1185, 922, 5072, 538, 519, 4074, 3350, 543, 729, 538, 519, 21282, 540, 3084, 3609, 1991, 547, 7115, 267, 10888, 12836, 689, 476, 4198, 278, 998, 476, 3422, 277, 269, 2060, 519, 1646, 540, 513, 811, 15061, 3109, 1647, 1362, 267, 2705, 267, 519, 5428, 3459, 547, 6336, 1489, 20406, 267, 2394, 621, 25540, 1310, 513, 3535, 538, 519, 476, 3192, 280, 12836, 269, 634, 5428, 15702, 3294, 538, 476, 2735, 275, 563, 293, 15903, 538, 476, 4198, 276, 267, 519, 853, 269, 27673, 23267, 9549, 630, 306, 309, 10861, 1070, 896, 681, 269, 29859, 595, 6737, 267, 6591, 519, 1489, 540, 519, 1647, 1362, 269, 2060, 513, 15061, 1876, 7146, 19195, 5048, 543, 513, 605, 8862, 3480, 4914, 3609, 267, 519, 25789, 10861, 13856, 6214, 689, 519, 4571, 268, 3422, 271, 338, 2394, 519, 4571, 268, 2735, 271, 338, 269, 11374, 24984, 538, 519, 476, 3422, 278, 543, 476, 3192, 275, 12836, 267, 519, 25789, 10861, 3366, 519, 6532, 547, 7115, 267, 10888, 519, 1101, 2022, 23949, 11163, 9550, 538, 476, 3192, 280, 269, 21673, 532, 606, 2653, 11802, 585, 519, 25789, 10861, 538, 476, 2735, 275, 267, 595, 6737, 1572, 2038, 12836, 269, 634, 2164, 941, 9670, 281, 609, 513, 2594, 476, 8660, 260, 28056, 2490, 719, 267, 6276, 674, 269, 27508, 781, 1715, 14891, 9549, 630, 301, 7894, 264, 4465, 8370, 16295, 538, 519, 5600, 540, 13909, 563, 289, 565, 560, 1229, 676, 513, 759, 4026, 550, 4346, 538, 519, 4571, 268, 2735, 271, 338, 267, 27508, 3366, 1010, 5428, 547, 606, 13778, 30908, 540, 782, 476, 1428, 5600, 540, 13909, 16295, 538, 519, 476, 2735, 280, 12836, 269, 634, 11685, 7153, 689, 519, 9550, 18604, 543, 27929, 855, 729, 2111, 547, 3094, 1614, 16295, 1282, 519, 5988, 476, 1960, 275, 12836, 896, 513, 834, 29774, 257, 22687, 269, 769, 476, 1960, 279, 267, 11788, 10579, 27508, 543, 519, 715, 7894, 941, 8120, 547, 1379, 585, 606, 13778, 8772, 2165, 855, 1152, 609, 513, 28489, 14345, 540, 476, 279, 16295, 547, 476, 278, 16295, 585, 519, 30767, 23267, 9549, 630, 8085, 303, 1040, 634, 715, 7894, 729, 2111, 547, 9585, 513, 2132, 547, 1379, 1247, 8391, 513, 14758, 2671, 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 ]
[ 267, 543, 849, 8704, 1863, 540, 5279, 593, 519, 1357, 563, 24916, 10451, 891, 3756, 585, 2780, 1949, 267, 11080, 931, 3421, 723, 2965, 849, 1044, 2965, 2813, 585, 6165, 593, 1688, 18988, 4559, 1519, 1591, 11436, 607, 1134, 607, 544, 335, 274, 5716, 269, 4107, 540, 11080, 931, 3421, 1500, 2221, 616, 2965, 1500, 547, 708, 10028, 513, 715, 23734, 334, 10794, 15196, 610, 590, 3415, 7591, 1805, 566, 269, 1230, 18030, 2780, 3014, 616, 1360, 3742, 543, 1450, 519, 946, 540, 12427, 899, 3014, 533, 5417, 956, 267, 7772, 560, 6506, 267, 16181, 267, 740, 12742, 267, 543, 546, 1790, 6758, 563, 288, 9053, 1826, 540, 3381, 3014, 267, 19922, 3381, 3756, 267, 568, 15548, 538, 676, 1896, 5716, 11264, 8957, 513, 2123, 2780, 1770, 269, 769, 519, 5354, 540, 2238, 267, 835, 6345, 21560, 513, 2230, 28755, 325, 543, 849, 519, 824, 32266, 2119, 547, 21933, 30185, 519, 6928, 2059, 609, 28862, 543, 849, 3688, 17991, 689, 519, 6928, 779, 28994, 976, 269, 4033, 5686, 540, 3756, 2874, 540, 4640, 3756, 267, 17040, 2238, 267, 11015, 2238, 267, 2165, 2238, 267, 3965, 3556, 3756, 267, 607, 1134, 607, 2165, 2238, 267, 543, 1082, 811, 269, 0, 4692, 1356, 568, 835, 540, 519, 3056, 3123, 540, 2669, 538, 519, 1158, 269, 3509, 2994, 540, 2860, 2126, 971, 607, 2234, 23956, 799, 4249, 513, 1883, 1909, 538, 2860, 2126, 616, 2919, 543, 1031, 19951, 269, 1717, 267, 519, 2427, 2360, 2022, 2275, 22083, 2234, 23956, 543, 2860, 5925, 637, 2700, 616, 1079, 2101, 3123, 540, 519, 20159, 540, 2860, 2234, 23956, 7145, 538, 519, 2860, 2550, 269, 5047, 267, 5786, 540, 519, 20159, 540, 2860, 2234, 23956, 7145, 676, 4227, 519, 2427, 2360, 2022, 2275, 22083, 2234, 23956, 543, 2860, 5925, 637, 2700, 568, 519, 2832, 540, 1896, 2234, 23956, 6823, 322, 11043, 6887, 269, 19227, 267, 20052, 558, 699, 543, 22007, 9593, 848, 616, 1079, 2281, 3334, 799, 1404, 606, 1271, 1909, 538, 2860, 22612, 267, 2860, 11144, 543, 2860, 3797, 4187, 971, 607, 2234, 23956, 4187, 269, 1280, 20547, 519, 2042, 540, 519, 20159, 540, 2860, 2234, 23956, 7145, 2523, 519, 2860, 5925, 9113, 2700, 2042, 267, 519, 5925, 24932, 324, 7308, 2805, 4640, 799, 568, 519, 946, 540, 5444, 7308, 2805, 3842, 25244, 540, 5444, 4082, 5916, 609, 2234, 23956, 729, 2919, 543, 1031, 607, 513, 1007, 4640, 547, 1521, 519, 2550, 609, 2860, 269, 769, 713, 2689, 267, 649, 24298, 519, 1344, 7282, 519, 29943, 540, 22007, 558, 699, 543, 22007, 9593, 848, 25244, 538, 2860, 2234, 3930, 27383, 563, 21292, 281, 2860, 2281, 282, 2234, 3930, 27383, 282, 2234, 23956, 282, 22007, 9593, 848, 282, 22007, 558, 699, 269, 0, 12709, 1315, 3735, 343, 1315, 3735, 343, 2789, 5515, 538, 835, 4737, 17623, 343, 13038, 22955, 769, 2290, 18007, 476, 866, 270, 5400, 270, 1708, 272, 901, 2947, 12268, 3126, 540, 2110, 4930, 7727, 513, 4999, 540, 3381, 543, 21849, 11673, 547, 4001, 519, 9238, 540, 2870, 513, 5098, 9001, 19000, 269, 1452, 18862, 941, 7620, 3370, 593, 519, 3312, 9523, 299, 622, 311, 5816, 3135, 2429, 4864, 476, 1001, 274, 282, 538, 2490, 267, 2221, 257, 338, 9375, 954, 935, 12506, 630, 338, 756, 321, 777, 3820, 264, 814, 14661, 15186, 1317, 540, 519, 1646, 540, 9523, 17442, 18256, 543, 849, 519, 7766, 32421, 540, 9523, 17442, 18256, 543, 521, 756, 321, 777, 3820, 269, 1717, 267, 1454, 540, 519, 1543, 568, 1869, 3617, 543, 11414, 596, 930, 3044, 19000, 1765, 12921, 1571, 543, 6791, 602, 786, 6157, 4019, 2066, 782, 5867, 269, 2791, 8384, 281, 17623, 343, 2789, 5515, 538, 835, 4737, 769, 519, 3105, 2376, 649, 6743, 693, 8848, 1005, 519, 2985, 11768, 540, 938, 5098, 1818, 946, 540, 519, 9511, 543, 16681, 327, 20142, 3640, 704, 1675, 338, 269, 769, 713, 2110, 2376, 649, 257, 516, 2469, 547, 1413, 693, 1818, 946, 540, 6650, 1675, 338, 543, 849, 7515, 28560, 596, 257, 557, 2760, 1354, 3769, 6650, 1675, 338, 610, 7515, 883, 513, 19000, 3561, 267, 594, 2857, 21129, 880, 596, 7620, 2638, 856, 519, 3617, 2328, 13522, 538, 938, 14987, 5850, 3126, 269, 2791, 17330, 547, 1294, 938, 3381, 5850, 593, 1818, 946, 540, 6650, 1675, 338, 538, 19000, 543, 849, 3381, 5850, 593, 7515, 5861, 2632, 757, 3412, 1137, 2690, 713, 2816, 267, 1169, 4605, 649, 6165, 649, 786, 6157, 4688, 538, 519, 708, 10327, 17835, 547, 4558, 8726, 22619, 344, 269, 769, 519, 7620, 2022, 649, 782, 1305, 519, 2594, 585, 2592, 676, 15205, 909, 519, 8642, 343, 10189, 543, 849, 676, 1651, 11661, 19000, 530, 2431, 1934, 519, 2592, 616, 6740, 1818, 946, 540, 519, 12449, 322, 6847, 4971, 269, 24269, 1354, 649, 1331, 513, 4605, 1318, 883, 938, 5098, 267, 649, 786, 6165, 519, 1297, 5790, 269, 3371, 257, 338, 606, 1383, 281, 5476, 29664, 1417, 1359, 514, 863, 1122, 1429, 923, 23054, 318, 20403, 1632, 2304, 3236, 3113, 18350, 1409, 580, 281, 343, 7750, 539, 1178, 335, 9150, 29664, 30860, 602, 594, 257, 557, 10300, 1386, 519, 10155, 540, 519, 4605, 543, 849, 13859, 519, 2990, 1179, 8595, 554, 547, 2322, 621, 538, 519, 2594, 530, 10964, 578, 519, 3009, 568, 538, 519, 5048, 269, 898, 257, 338, 2731, 4105, 547, 1039, 3061, 687, 547, 5515, 950, 21882, 513, 5098, 269, 901, 568, 1018, 621, 5654, 4782, 16432, 281, 30860, 602, 19000, 814, 2965, 5612, 22921, 621, 2687, 547, 1018, 3184, 621, 257, 338, 851, 540, 269, 898, 568, 849, 2731, 2629, 547, 6003, 1142, 4137, 865, 596, 17330, 547, 8308, 3277, 1394, 547, 621, 538, 519, 1257, 1818, 946, 540, 519, 552, 325, 4971, 849, 269, 1403, 596, 3769, 713, 538, 519, 1257, 281, 2498, 580, 281, 343, 7750, 539, 3113, 17442, 18256, 1131, 2285, 596, 519, 1297, 1297, 834, 273, 269, 272, 257, 538, 1747, 540, 713, 4971, 538, 519, 7824, 2529, 889, 14808, 999, 2691, 2870, 513, 5098, 596, 1522, 1616, 547, 6451, 930, 5594, 1256, 811, 9744, 5515, 3842, 2789, 708, 10327, 269, 1411, 17330, 547, 4163, 856, 713, 1210, 1016, 29664, 4694, 12742, 3330, 513, 4137, 1604, 269, 6969, 649, 666, 4163, 856, 713, 1498, 267, 649, 1590, 6445, 909, 519, 30115, 543, 849, 1016, 8619, 1632, 15004, 281, 2224, 17569, 720, 8619, 1632, 2224, 17569, 1137, 889, 8619, 1632, 2171, 257, 961, 14892, 606, 1383, 3842, 1614, 2592, 620, 2654, 344, 2427, 1142, 1585, 824, 609, 694, 335, 777, 29029, 3061, 687, 543, 849, 10297, 269, 3371, 257, 338, 930, 1383, 3009, 281, 5476, 29664, 1298, 1359, 19838, 1231, 889, 29664, 271, 269, 274, 970, 12296, 1298, 1359, 925, 1122, 1429, 923, 23054, 272, 1309, 1632, 259, 344, 24210, 259, 2978, 1409, 580, 281, 344, 1226, 919, 547, 1535, 7475, 889, 29664, 554, 15640, 19838, 1231, 889, 29664, 271, 269, 274, 970, 12296, 1298, 1359, 925, 1122, 1429, 923, 23054, 273, 1309, 1632, 259, 344, 284, 274, 7562, 343, 259, 2978, 1409, 580, 281, 22764, 5609, 1535, 7475, 889, 29664, 554, 15640, 19838, 1231, 889, 29664, 271, 269, 274, 970, 12296, 1298, 1359, 925, 1122, 1429, 923, 23054, 274, 1309, 1632, 259, 344, 284, 276, 24474, 259, 2978, 1409, 580, 281, 276, 936, 1535, 7475, 889, 29664, 1309, 1632, 16248, 2596, 11708, 2978, 1409, 580, 281, 274, 11708, 754, 29664, 2414, 1376, 609, 267, 649, 1711, 513, 6216, 20642, 4137, 267, 8998, 621, 543, 1287, 1020, 513, 1007, 1016, 29664, 269, 769, 519, 1016, 15893, 4971, 849, 649, 991, 547, 1039, 513, 13307, 1179, 8595, 543, 1287, 2285, 621, 513, 8700, 269, 5221, 649, 1616, 1614, 708, 10327, 7258, 1142, 1585, 824, 649, 4015, 513, 8700, 540, 476, 271, 269, 274, 2053, 519, 1871, 540, 970, 12296, 269, 1411, 991, 547, 1118, 1978, 602, 519, 2179, 540, 519, 11097, 2195, 596, 14574, 585, 519, 1016, 11133, 1499, 568, 1447, 982, 519, 1257, 8700, 952, 596, 1616, 873, 782, 593, 519, 1482, 1899, 269, 1879, 649, 1331, 519, 8666, 538, 649, 1058, 14574, 519, 8700, 1210, 8700, 284, 740, 22363, 547, 676, 519, 970, 12296, 4971, 269, 634, 2601, 713, 3252, 568, 1317, 519, 5048, 8700, 1369, 519, 1016, 15893, 568, 519, 8700, 649, 9138, 538, 519, 19838, 1231, 889, 29664, 4971, 267, 1775, 4318, 269, 476, 271, 269, 274, 2053, 519, 3339, 5048, 8700, 630, 6518, 568, 519, 1871, 540, 970, 12296, 1040, 8450, 811, 281, 7454, 7734, 1280, 634, 31928, 328, 681, 333, 5623, 3883, 267, 21362, 1229, 29237, 681, 333, 9202, 649, 2285, 519, 1016, 15893, 513, 694, 335, 777, 29029, 5705, 1856, 543, 849, 6003, 269, 1284, 723, 519, 1318, 547, 1287, 9096, 519, 1016, 15893, 543, 1331, 519, 1985, 476, 273, 538, 269, 1677, 1039, 930, 19437, 538, 1063, 519, 2338, 649, 257, 961, 6165, 519, 554, 15640, 4971, 849, 269, 1403, 596, 4769, 257, 339, 1616, 873, 782, 593, 519, 1482, 1899, 596, 1223, 3274, 4734, 8900, 3515, 3079, 540, 519, 554, 15640, 12981, 269, 7490, 4063, 602, 519, 967, 757, 594, 723, 2965, 1031, 14892, 711, 1860, 519, 875, 519, 3009, 568, 9268, 267, 789, 3274, 1118, 621, 1256, 811, 28505, 269, 634, 5898, 540, 891, 1016, 11133, 1499, 568, 602, 649, 723, 519, 1318, 547, 4766, 1142, 540, 873, 14350, 538, 519, 1257, 1317, 540, 741, 1367, 10297, 1765, 6011, 1197, 649, 723, 519, 1318, 547, 10123, 1683, 519, 9103, 1275, 4137, 513, 1309, 1632, 543, 849, 6003, 20136, 568, 1018, 938, 4137, 786, 6157, 1413, 899, 538, 519, 3561, 281, 3086, 952, 649, 1039, 513, 1592, 1993, 11133, 1499, 4971, 3274, 1310, 519, 3349, 540, 9115, 267, 19000, 786, 5352, 513, 1592, 540, 782, 519, 4137, 6035, 538, 519, 5098, 543, 1213, 622, 721, 1141, 1142, 666, 581, 1336, 281, 307, 1963, 3086, 13071, 2911, 827, 7515, 269, 1879, 1603, 513, 5098, 596, 1058, 11700, 846, 782, 707, 7515, 538, 519, 3349, 4259, 269, 3371, 257, 338, 513, 2596, 1383, 281, 1122, 842, 762, 1417, 1359, 1122, 842, 629, 983, 561, 288, 1299, 645, 1299, 595, 1422, 327, 1467, 272, 1299, 476, 273, 1299, 476, 274, 1422, 275, 1299, 476, 276, 1299, 476, 277, 754, 339, 629, 983, 8619, 1632, 854, 4909, 3349, 18350, 3881, 629, 281, 629, 25728, 14456, 11088, 1118, 2386, 596, 1331, 1312, 513, 1309, 1632, 543, 513, 6003, 269, 16265, 1963, 13436, 547, 3842, 708, 10327, 267, 596, 1522, 1616, 547, 2319, 7515, 1927, 1318, 883, 513, 2582, 3349, 4259, 269, 901, 666, 581, 2944, 676, 1818, 946, 540, 5705, 762, 5054, 3330, 513, 3349, 5790, 269, 3371, 257, 338, 606, 1383, 281, 1122, 842, 762, 19838, 1231, 889, 14456, 271, 269, 3393, 970, 12296, 1298, 1359, 19838, 842, 629, 983, 561, 4303, 1299, 7665, 7843, 335, 1299, 3687, 7843, 335, 1422, 554, 1467, 554, 1467, 3933, 1299, 476, 736, 1299, 476, 1724, 315, 570, 826, 1299, 476, 2420, 1299, 476, 1691, 315, 11205, 1299, 476, 2537, 1299, 476, 1321, 315, 774, 2720, 1299, 476, 1839, 1299, 476, 1724, 315, 29443, 1299, 476, 1240, 1299, 476, 278, 315, 9045, 1299, 476, 1428, 1299, 476, 1724, 315, 6129, 1299, 476, 736, 1299, 476, 1724, 1439, 339, 629, 983, 1309, 1632, 5575, 10432, 2978, 3881, 629, 281, 15553, 272, 7475, 889, 14456, 554, 15640, 19838, 1231, 889, 14456, 271, 269, 3393, 970, 12296, 1298, 1359, 19838, 842, 629, 983, 561, 4303, 1299, 7665, 7843, 335, 1299, 3687, 7843, 335, 1422, 554, 1467, 554, 1467, 3933, 1299, 476, 1704, 1299, 476, 1556, 315, 570, 826, 1299, 476, 1626, 1299, 476, 1015, 315, 11205, 1299, 476, 1691, 1299, 476, 279, 315, 774, 2720, 1299, 476, 1321, 1299, 476, 276, 315, 29443, 1299, 476, 1428, 1299, 476, 278, 315, 9045, 1299, 476, 1626, 1299, 476, 1321, 315, 6129, 1299, 476, 1428, 1299, 476, 280, 1439, 339, 629, 983, 1309, 1632, 13553, 10432, 2978, 3881, 629, 281, 15553, 273, 7475, 889, 14456, 1309, 1632, 16655, 543, 1295, 1661, 1186, 7148, 539, 538, 519, 1101, 476, 273, 4374, 540, 5147, 2978, 3881, 629, 281, 339, 655, 1186, 754, 14456, 30860, 602, 538, 1142, 19838, 1231, 889, 14456, 4971, 849, 649, 257, 557, 8659, 513, 2990, 1179, 8595, 543, 849, 513, 8700, 269, 11088, 267, 649, 17330, 547, 2285, 1142, 5705, 762, 513, 6003, 543, 849, 5705, 1856, 607, 1134, 607, 3246, 519, 2898, 3349, 1297, 513, 6003, 543, 5705, 1856, 269, 3086, 538, 519, 3169, 1482, 1505, 649, 3773, 513, 1592, 540, 2338, 1310, 519, 3349, 540, 9115, 649, 17330, 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 ]
[ 7070, 454, 302, 13791, 3557, 2160, 454, 23430, 540, 30656, 543, 13812, 454, 763, 12465, 26954, 11310, 630, 15288, 298, 264, 2978, 540, 30656, 543, 13812, 20271, 725, 7070, 693, 14822, 3557, 2160, 568, 5275, 606, 14222, 10927, 2875, 630, 300, 2529, 269, 610, 12854, 264, 547, 3565, 547, 4294, 1382, 265, 593, 12465, 26954, 11310, 630, 15288, 298, 1070, 2686, 5117, 2533, 267, 2916, 1689, 267, 7111, 270, 29378, 2757, 7286, 8134, 267, 1981, 23218, 592, 1676, 1464, 270, 4134, 10293, 267, 610, 1644, 3584, 269, 634, 2875, 786, 581, 4397, 547, 4001, 835, 2228, 1576, 829, 19496, 538, 5385, 585, 24875, 267, 2640, 543, 513, 23616, 754, 269, 2701, 270, 3891, 270, 5445, 786, 849, 1020, 543, 2936, 513, 1382, 1788, 540, 741, 1378, 1719, 538, 5698, 609, 3220, 269, 6341, 13183, 320, 932, 880, 565, 332, 24051, 7615, 563, 9359, 4266, 281, 570, 9720, 476, 1708, 274, 454, 293, 27448, 281, 5455, 547, 476, 273, 1296, 540, 24875, 267, 2640, 543, 23616, 754, 454, 268, 17546, 835, 661, 4211, 25283, 1576, 829, 10116, 454, 268, 5071, 543, 31026, 6231, 2237, 606, 3573, 543, 2143, 1576, 1770, 538, 513, 1837, 585, 2852, 1053, 1644, 547, 519, 1349, 1657, 267, 2519, 593, 570, 22379, 1299, 22957, 1315, 7087, 11310, 1299, 21126, 1315, 12465, 26954, 11310, 630, 15288, 298, 264, 538, 7025, 16424, 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 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1841, 968, 28755, 1386, 835, 569, 23502, 267, 799, 621, 1373, 711, 2219, 1434, 547, 1352, 342, 873, 31218, 972, 729, 1100, 824, 1259, 855, 547, 1118, 602, 2110, 1439, 540, 873, 607, 729, 1500, 1848, 10482, 3627, 670, 809, 518, 6257, 13713, 1018, 1975, 27660, 1572, 968, 7474, 5857, 701, 11056, 540, 519, 1975, 8643, 1841, 27535, 968, 2691, 519, 3061, 324, 710, 1185, 9493, 601, 4765, 5128, 324, 267, 543, 519, 6830, 12912, 547, 581, 1147, 16781, 1229, 267, 3061, 324, 710, 681, 1446, 662, 1927, 609, 3061, 324, 710, 631, 3147, 10290, 267, 945, 1185, 519, 20758, 540, 602, 13005, 773, 267, 9411, 883, 519, 5641, 749, 267, 1299, 1500, 513, 1390, 26718, 267, 812, 773, 610, 519, 1034, 851, 540, 873, 1373, 2322, 547, 519, 18156, 1848, 11820, 634, 5053, 5605, 26513, 4080, 547, 17722, 4083, 602, 7083, 27578, 3576, 968, 335, 1601, 11970, 540, 519, 6830, 267, 593, 476, 1015, 628, 267, 543, 789, 1793, 4381, 1229, 476, 2004, 278, 2367, 945, 941, 538, 621, 267, 543, 930, 9176, 2021, 267, 16310, 799, 789, 554, 6548, 476, 1704, 9721, 543, 2296, 5443, 1848, 8099, 3509, 540, 519, 1762, 16461, 1080, 689, 8330, 584, 5362, 543, 645, 4593, 599, 941, 581, 20243, 543, 16207, 883, 519, 4262, 269, 29443, 541, 19846, 1338, 18703, 267, 20182, 1773, 6064, 9116, 267, 543, 590, 6387, 779, 2296, 23122, 267, 5261, 26728, 5585, 267, 941, 3144, 547, 513, 585, 613, 585, 25711, 267, 741, 7953, 543, 7916, 7745, 267, 519, 17308, 779, 14853, 543, 2062, 325, 532, 619, 2759, 1055, 269, 634, 32003, 10630, 968, 294, 9445, 779, 23998, 540, 30871, 892, 543, 1010, 4250, 540, 606, 968, 514, 1181, 1049, 7826, 24242, 2223, 855, 621, 729, 4625, 14669, 547, 519, 6444, 1775, 639, 8425, 1756, 267, 543, 3361, 8710, 543, 30891, 2066, 2342, 269, 9340, 454, 30524, 3533, 8532, 2933, 543, 1821, 537, 516, 835, 1776, 269, 634, 6169, 324, 1141, 1993, 267, 594, 4718, 18481, 981, 9482, 538, 891, 3735, 2112, 637, 540, 631, 1735, 3122, 267, 585, 711, 327, 5976, 9227, 602, 519, 1482, 729, 513, 1034, 3638, 543, 726, 550, 604, 1638, 1293, 9445, 267, 2407, 540, 8970, 543, 12418, 267, 602, 596, 1131, 723, 2219, 789, 1058, 723, 1044, 2111, 547, 1796, 1279, 267, 2943, 552, 516, 835, 9493, 732, 543, 513, 3368, 324, 789, 941, 4547, 547, 971, 530, 4958, 3481, 1145, 607, 602, 1022, 588, 3415, 2295, 1131, 723, 678, 4240, 519, 1482, 269, 4934, 540, 1169, 7944, 540, 519, 18137, 543, 9848, 333, 5886, 789, 3357, 1212, 9429, 8521, 2390, 741, 3946, 267, 585, 741, 682, 1375, 525, 1223, 711, 7703, 873, 269, 1358, 6743, 899, 20133, 558, 625, 540, 2669, 267, 789, 838, 820, 899, 26415, 338, 24986, 856, 540, 741, 30401, 282, 789, 1705, 3548, 519, 4666, 29336, 687, 267, 6126, 941, 789, 1223, 1265, 873, 282, 9493, 320, 267, 543, 835, 1776, 865, 821, 1310, 267, 1202, 558, 1276, 607, 519, 1360, 1286, 322, 13293, 789, 838, 1563, 711, 547, 1085, 7275, 856, 540, 741, 30401, 269, 1656, 952, 789, 1336, 513, 4729, 540, 1216, 2275, 19843, 610, 1744, 600, 549, 4242, 267, 972, 789, 1166, 18088, 607, 547, 513, 21649, 585, 519, 942, 267, 2943, 711, 2111, 1279, 547, 3136, 972, 5976, 718, 282, 602, 538, 2110, 2230, 972, 941, 9039, 3592, 2451, 267, 543, 513, 1034, 29245, 543, 726, 550, 604, 1638, 2197, 10393, 2451, 20704, 540, 812, 543, 28458, 267, 2943, 2386, 538, 782, 602, 2112, 516, 267, 972, 829, 1639, 711, 1082, 676, 519, 4210, 867, 267, 855, 782, 676, 519, 970, 516, 2466, 773, 540, 26380, 267, 799, 789, 2933, 1185, 530, 3754, 269, 12208, 454, 763, 899, 729, 2322, 538, 26821, 538, 8581, 998, 4387, 9995, 619, 543, 824, 911, 6002, 267, 945, 972, 8678, 2933, 547, 326, 2416, 896, 519, 1402, 525, 3044, 267, 547, 3142, 547, 533, 21692, 741, 5728, 13393, 538, 713, 1483, 1889, 269, 3414, 741, 7479, 28913, 543, 4308, 902, 267, 519, 1004, 941, 4779, 3437, 538, 519, 1402, 525, 2012, 547, 4339, 1996, 741, 1876, 21459, 2379, 806, 572, 896, 1010, 7333, 1676, 282, 543, 547, 15141, 1996, 554, 597, 865, 29200, 12340, 607, 789, 1522, 269, 634, 1651, 5971, 618, 547, 713, 1390, 27136, 17171, 789, 4607, 998, 4387, 9995, 619, 513, 535, 1872, 1438, 543, 10443, 651, 911, 3218, 547, 1010, 19036, 543, 1293, 4471, 607, 849, 998, 3309, 20908, 7057, 1312, 2296, 543, 9721, 269, 14138, 454, 301, 747, 15614, 590, 6387, 267, 835, 540, 519, 1082, 13085, 5640, 547, 4734, 1715, 5441, 267, 10228, 267, 585, 7200, 341, 664, 267, 5747, 538, 519, 10239, 540, 8581, 968, 1993, 7988, 550, 2044, 827, 519, 4098, 540, 4989, 476, 15647, 272, 267, 15508, 543, 9308, 7745, 1848, 14056, 590, 6387, 779, 16939, 547, 8581, 267, 899, 513, 3411, 20814, 24120, 267, 3775, 5523, 519, 20908, 3726, 5692, 540, 519, 2011, 621, 2838, 547, 2661, 543, 13236, 269, 634, 32003, 693, 590, 1067, 19213, 5949, 1282, 519, 10554, 540, 8805, 542, 543, 31080, 538, 772, 343, 8822, 282, 519, 20908, 7057, 949, 711, 723, 4862, 519, 1835, 625, 540, 519, 12955, 1975, 8643, 1841, 267, 855, 8805, 542, 1185, 547, 946, 782, 1010, 9266, 543, 17720, 1983, 267, 538, 519, 18975, 543, 538, 31689, 8065, 267, 547, 2119, 547, 10646, 519, 5692, 689, 519, 1570, 4641, 590, 6387, 779, 16939, 1185, 2016, 547, 519, 3781, 332, 732, 540, 513, 13099, 531, 12289, 269, 634, 605, 17474, 540, 968, 302, 6113, 1359, 17776, 540, 12054, 514, 12579, 267, 1488, 6135, 540, 20908, 7057, 2223, 18584, 31689, 267, 5130, 476, 1015, 267, 476, 15647, 272, 267, 543, 3370, 593, 5130, 476, 2190, 267, 476, 15647, 272, 267, 12799, 2829, 713, 281, 968, 15463, 1164, 1145, 4061, 267, 2062, 572, 4370, 519, 1390, 3765, 27815, 602, 949, 1671, 826, 676, 971, 29063, 7405, 267, 1141, 1993, 1995, 554, 987, 1044, 6772, 2299, 2938, 538, 519, 7706, 540, 8581, 1848, 14093, 454, 25324, 976, 267, 538, 1010, 1272, 540, 8805, 542, 267, 22281, 338, 6217, 519, 3377, 540, 590, 6387, 779, 12289, 538, 681, 8583, 338, 267, 543, 5267, 602, 968, 16269, 941, 554, 691, 1176, 20994, 1848, 15686, 19227, 267, 31080, 3274, 22281, 338, 602, 8805, 542, 6368, 8815, 547, 4758, 909, 1010, 620, 5362, 267, 6004, 269, 18536, 267, 1317, 540, 621, 267, 543, 602, 789, 4956, 693, 519, 14208, 868, 517, 10554, 547, 1118, 621, 2312, 602, 789, 6785, 4986, 540, 590, 6387, 779, 16939, 1354, 789, 4862, 540, 621, 538, 681, 8583, 338, 269, 6344, 1703, 568, 1100, 19583, 602, 519, 2799, 1377, 540, 838, 3539, 543, 15746, 540, 23597, 1185, 2097, 689, 590, 6387, 779, 12289, 540, 8581, 282, 3079, 621, 5526, 547, 581, 513, 3210, 547, 519, 12625, 540, 519, 20908, 7057, 2933, 269, 31080, 26793, 519, 3965, 540, 519, 9721, 12289, 267, 543, 8719, 519, 605, 17474, 540, 5147, 476, 1428, 267, 476, 15647, 271, 630, 12671, 12289, 32422, 264, 609, 519, 605, 17474, 540, 5130, 476, 1015, 267, 476, 15647, 272, 630, 28785, 560, 20908, 7057, 1040, 13199, 901, 23673, 8032, 7766, 7826, 2351, 25086, 540, 519, 20908, 3726, 5692, 267, 865, 602, 519, 14124, 1198, 540, 519, 9721, 16939, 729, 3533, 1163, 2426, 539, 689, 519, 1196, 4328, 2239, 540, 19395, 779, 29966, 20577, 269, 634, 19270, 1068, 26559, 8278, 3380, 23706, 7826, 2801, 630, 15647, 279, 264, 3274, 8638, 590, 6387, 607, 513, 1390, 5856, 281, 9444, 1010, 13249, 2669, 6862, 519, 26380, 8317, 539, 676, 519, 12289, 568, 5018, 269, 14338, 9400, 3244, 12121, 630, 1952, 30068, 23387, 602, 590, 6387, 1185, 15354, 538, 5147, 476, 14991, 280, 264, 12909, 607, 952, 590, 6387, 779, 18239, 968, 516, 3737, 8581, 827, 519, 1482, 942, 602, 31080, 543, 8805, 542, 941, 10024, 4789, 1848, 11277, 454, 9515, 1705, 711, 267, 2705, 267, 3494, 602, 1034, 540, 891, 530, 4958, 3481, 2370, 20577, 1496, 332, 529, 749, 529, 1010, 5485, 518, 25346, 756, 639, 316, 1185, 1044, 5428, 547, 28321, 9552, 547, 741, 2197, 269, 2701, 1705, 267, 593, 519, 824, 1688, 267, 3494, 602, 741, 2706, 12542, 1031, 873, 607, 7405, 540, 741, 29063, 1145, 2094, 1346, 945, 941, 1373, 2366, 593, 513, 5692, 1147, 16781, 1229, 547, 741, 2706, 12542, 519, 2347, 543, 1863, 29916, 540, 741, 2729, 269, 14862, 454, 763, 15596, 267, 945, 4667, 26526, 1134, 5483, 593, 3909, 24150, 267, 543, 4171, 1893, 4992, 2673, 547, 602, 1031, 676, 8805, 542, 547, 19395, 267, 949, 723, 1044, 6766, 676, 519, 5967, 630, 1721, 799, 972, 568, 1434, 6392, 264, 1352, 1185, 609, 8805, 542, 519, 3781, 1354, 1010, 818, 571, 9892, 267, 950, 1352, 6035, 1864, 606, 2895, 29989, 878, 952, 646, 598, 11526, 269, 10219, 454, 5472, 523, 267, 899, 519, 28831, 945, 16941, 865, 1454, 593, 1010, 5796, 538, 2296, 12602, 267, 8959, 547, 1294, 602, 646, 1223, 711, 723, 621, 1312, 2081, 543, 602, 646, 729, 11093, 519, 29966, 20577, 538, 606, 7543, 3510, 950, 646, 2366, 873, 547, 960, 585, 519, 7826, 2014, 676, 5289, 1797, 1247, 693, 519, 1482, 942, 646, 729, 5885, 8942, 547, 24057, 992, 519, 17557, 12512, 676, 3196, 269, 15782, 454, 10955, 24792, 8805, 542, 1185, 1031, 1010, 1079, 11564, 607, 513, 19623, 547, 519, 695, 21218, 540, 519, 2038, 5939, 538, 7507, 547, 5639, 1010, 24895, 609, 519, 13099, 531, 13032, 267, 607, 646, 7682, 539, 1654, 515, 618, 569, 693, 1010, 4693, 269, 9873, 3571, 17748, 540, 519, 5939, 729, 513, 8536, 5195, 6306, 689, 590, 6387, 779, 3661, 538, 519, 13796, 1379, 540, 519, 13099, 2329, 282, 693, 1010, 4693, 267, 646, 7150, 15597, 602, 646, 968, 871, 852, 1194, 3022, 1200, 20727, 652, 773, 630, 18485, 1249, 334, 1299, 594, 675, 1070, 547, 581, 6581, 2940, 1848, 14530, 8805, 542, 267, 4628, 3222, 540, 519, 813, 16226, 544, 3291, 548, 883, 799, 19395, 779, 7662, 543, 1010, 12247, 540, 24150, 1185, 19876, 1864, 267, 593, 1010, 1279, 3460, 547, 4789, 2760, 31360, 519, 1396, 1415, 540, 519, 25598, 543, 267, 950, 646, 15354, 1354, 21554, 593, 4873, 476, 1839, 267, 476, 15647, 271, 267, 693, 667, 1478, 267, 646, 1166, 2426, 5128, 2407, 3259, 593, 519, 11824, 267, 543, 1705, 519, 1152, 3364, 646, 1223, 798, 267, 6450, 639, 521, 545, 588, 656, 756, 639, 281, 7281, 269, 15171, 454, 272, 7338, 10434, 344, 267, 968, 763, 20593, 10885, 540, 519, 30805, 2223, 538, 634, 11814, 539, 31888, 540, 7338, 10434, 344, 630, 17504, 29536, 17826, 7732, 281, 5507, 267, 476, 1960, 275, 1070, 476, 29344, 563, 273, 634, 1257, 729, 711, 9102, 1354, 11184, 6276, 654, 732, 3370, 621, 538, 634, 2876, 12929, 540, 8581, 11814, 539, 676, 8422, 3231, 2740, 22439, 966, 714, 269, 631, 1229, 603, 12390, 1067, 267, 16362, 538, 6555, 8181, 773, 267, 31611, 8805, 542, 267, 28069, 29533, 540, 853, 8592, 2051, 1578, 538, 10228, 543, 31611, 1975, 27660, 10507, 336, 630, 306, 1539, 564, 773, 540, 13749, 619, 281, 25212, 267, 476, 14321, 274, 1070, 588, 322, 476, 7742, 6858, 320, 269, 634, 2777, 729, 538, 519, 12406, 540, 519, 24553, 5937, 24586, 4864, 15687, 5572, 563, 274, 634, 1293, 612, 540, 918, 843, 732, 729, 631, 8475, 645, 992, 928, 267, 519, 11078, 540, 966, 4593, 870, 8053, 6558, 267, 547, 7247, 8805, 542, 1185, 6131, 1010, 6648, 267, 968, 26596, 551, 320, 6428, 583, 11717, 328, 715, 553, 1417, 807, 12054, 2088, 7638, 6798, 1848, 6423, 15168, 731, 18741, 5797, 267, 31611, 8805, 542, 281, 15350, 543, 3690, 5524, 630, 2026, 327, 22017, 281, 25548, 619, 14653, 267, 476, 1220, 276, 1070, 476, 14983, 563, 275, 22956, 590, 6387, 267, 1546, 1471, 756, 8270, 16313, 807, 3235, 3380, 23706, 267, 5391, 686, 12354, 334, 630, 11990, 674, 578, 2401, 281, 7200, 341, 664, 267, 476, 14991, 272, 1070, 589, 261, 305, 476, 6200, 274, 563, 276, 1703, 568, 606, 14849, 991, 585, 513, 1007, 1353, 540, 590, 6387, 282, 519, 1655, 960, 267, 2523, 593, 519, 16395, 540, 519, 476, 14444, 271, 338, 267, 568, 7338, 5062, 301, 5271, 514, 966, 2465, 577, 267, 3220, 22956, 9995, 619, 543, 519, 2296, 26746, 476, 14631, 271, 1700, 15647, 275, 630, 17206, 7732, 281, 7200, 341, 664, 267, 476, 4350, 276, 1040, 6423, 849, 570, 269, 674, 269, 2904, 518, 267, 968, 306, 6387 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 277, 281, 5620, 596, 1558, 519, 1158, 781, 16999, 6177, 286, 1261, 6585, 519, 2898, 9566, 1927, 1107, 519, 7873, 528, 256, 6056, 827, 875, 5230, 20097, 666, 581, 3379, 547, 5017, 262, 12035, 780, 272, 269, 7581, 591, 10886, 10313, 11143, 692, 21008, 532, 3197, 689, 2835, 267, 9413, 267, 7641, 2982, 267, 610, 3140, 5515, 5932, 1776, 4316, 585, 4739, 344, 5309, 940, 269, 6333, 891, 1806, 1384, 7078, 476, 278, 281, 6904, 4583, 24413, 1185, 519, 2973, 652, 4522, 286, 18332, 19090, 256, 16514, 1864, 17678, 29367, 20829, 1010, 6928, 780, 7078, 476, 279, 281, 5808, 729, 519, 1034, 3532, 5259, 14544, 286, 17127, 267, 540, 1576, 256, 2991, 782, 267, 646, 781, 513, 2698, 1412, 1729, 324, 6122, 14575, 256, 262, 5269, 2386, 596, 946, 2953, 12332, 18011, 1729, 334, 6122, 324, 268, 1457, 10807, 547, 5838, 713, 5309, 3927, 780, 272, 269, 7591, 995, 12287, 5874, 692, 31094, 2305, 4386, 950, 1875, 25993, 3615, 610, 7493, 2035, 616, 2016, 1480, 7907, 269, 28799, 713, 5339, 3926, 609, 5309, 338, 585, 17175, 2164, 269, 5530, 891, 8320, 1384, 7078, 476, 280, 281, 4208, 7948, 1405, 519, 17919, 1796, 909, 676, 3294, 286, 898, 729, 1079, 13110, 256, 22716, 1125, 1412, 18314, 262, 585, 6099, 9644, 538, 713, 1383, 780, 7078, 476, 1015, 281, 1548, 4523, 950, 11728, 10742, 13638, 286, 1358, 723, 513, 2013, 540, 519, 631, 1180, 904, 1932, 256, 1230, 329, 675, 2592, 540, 1989, 17056, 2395, 15025, 585, 3773, 9644, 780, 2026, 596, 1831, 811, 6899, 609, 5309, 338, 267, 1745, 1863, 547, 3575, 543, 6474, 6688, 610, 2097, 909, 609, 7357, 1007, 3283, 269, 5457, 267, 2259, 2306, 3501, 1107, 1832, 3843, 2394, 596, 3605, 799, 2010, 540, 5309, 338, 13469, 1655, 609, 707, 5304, 269, 8414, 5309, 940, 256, 0, 2080, 568, 606, 1349, 689, 513, 2546, 912, 30948, 781, 11256, 267, 14614, 286, 901, 2022, 786, 581, 827, 519, 9240, 534, 2914, 20564, 3983, 5309, 338, 563, 6826, 19230, 282, 713, 2022, 786, 581, 865, 3983, 630, 8117, 16168, 264, 596, 3513, 581, 28617, 1875, 17380, 563, 276, 7454, 14068, 623, 12584, 2334, 3657, 6153, 10979, 3691, 5474, 454, 3086, 602, 649, 917, 602, 519, 10782, 5309, 338, 616, 1419, 519, 1655, 5309, 338, 267, 596, 4465, 1405, 581, 14281, 547, 1294, 930, 22992, 15265, 24668, 593, 713, 1592, 269, 1403, 621, 781, 827, 513, 4816, 1884, 267, 513, 2003, 541, 267, 610, 737, 548, 696, 2674, 807, 267, 519, 7399, 616, 11995, 269, 3657, 789, 865, 3983, 602, 789, 2811, 9735, 286, 1411, 3513, 991, 547, 1224, 998, 873, 543, 1449, 873, 856, 593, 707, 2828, 547, 1265, 856, 563, 272, 269, 3733, 11078, 14659, 1352, 781, 865, 5100, 269, 2701, 1767, 19637, 616, 519, 1152, 1426, 602, 2306, 596, 3956, 269, 1924, 594, 28520, 513, 17310, 693, 1200, 563, 7212, 513, 2370, 10795, 267, 713, 568, 519, 1187, 333, 5006, 24983, 602, 786, 1100, 8969, 27873, 6266, 540, 1004, 269, 2986, 1576, 267, 621, 781, 513, 3983, 2856, 547, 798, 713, 585, 1483, 563, 273, 269, 594, 4312, 1175, 1044, 17991, 689, 519, 9219, 6194, 12051, 1310, 782, 1346, 3063, 3108, 594, 2322, 538, 563, 1607, 1268, 729, 4440, 2348, 519, 942, 540, 1010, 1272, 269, 898, 1522, 1491, 1004, 930, 942, 547, 960, 713, 835, 856, 267, 855, 789, 27315, 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, 4197, 2920, 13659, 998, 834, 18131, 538, 4563, 5016, 8893, 20638, 281, 4841, 786, 1174, 1018, 17933, 568, 267, 1451, 827, 513, 1483, 3734, 1383, 540, 606, 19191, 1895, 1572, 834, 18131, 538, 4563, 2437, 543, 2263, 875, 789, 666, 3565, 547, 2318, 1689, 538, 741, 1378, 2950, 780, 7072, 912, 5331, 596, 1294, 513, 1895, 540, 1004, 7555, 23900, 267, 21039, 538, 3109, 9660, 267, 8066, 4191, 602, 2161, 834, 1805, 641, 20222, 257, 610, 834, 5591, 2782, 1701, 1358, 616, 972, 1169, 3018, 267, 4764, 610, 19542, 267, 1818, 513, 3948, 1996, 2112, 543, 5208, 269, 901, 1895, 568, 1572, 834, 18131, 538, 4563, 2437, 543, 789, 616, 606, 5140, 1383, 540, 15628, 1107, 1004, 945, 960, 1927, 547, 3142, 3007, 547, 2152, 789, 1416, 7184, 827, 543, 2119, 547, 1711, 2318, 1689, 538, 2486, 269, 2913, 781, 4685, 883, 1620, 811, 827, 873, 2439, 4089, 476, 272, 281, 1548, 568, 2920, 13659, 888, 8002, 13659, 3322, 2043, 610, 2516, 2921, 2962, 547, 4161, 1514, 8155, 267, 3310, 4507, 267, 610, 3142, 4656, 547, 1585, 3123, 269, 1452, 3527, 1522, 4125, 12560, 17600, 899, 22415, 1127, 267, 1694, 15564, 267, 610, 23405, 282, 2870, 1148, 267, 2575, 267, 610, 8874, 547, 3262, 6835, 282, 25211, 532, 14761, 547, 1780, 1007, 4031, 282, 18997, 1866, 282, 610, 1210, 3059, 5867, 971, 607, 1514, 2923, 547, 2671, 1344, 543, 20834, 1125, 1489, 269, 2920, 643, 1235, 1419, 1445, 593, 3584, 899, 1480, 2924, 267, 7862, 267, 2825, 4027, 267, 543, 5009, 4708, 780, 4089, 476, 273, 281, 5808, 3657, 834, 18131, 538, 4563, 257, 888, 257, 18131, 538, 4563, 257, 3323, 607, 513, 1507, 1895, 540, 2021, 13889, 532, 1996, 2112, 538, 5840, 543, 21157, 1282, 519, 2038, 476, 1960, 271, 338, 269, 3683, 942, 267, 2147, 2516, 4646, 1472, 519, 1158, 267, 1519, 835, 538, 28993, 269, 16840, 5957, 3109, 7802, 547, 21843, 31366, 585, 2729, 4503, 1813, 547, 4655, 543, 1796, 3623, 1836, 267, 2427, 676, 2427, 267, 547, 2769, 741, 11685, 547, 2112, 543, 3895, 32593, 550, 3435, 269, 4256, 12353, 19771, 4196, 607, 3532, 23106, 540, 519, 5571, 991, 585, 5188, 267, 7067, 267, 543, 21047, 780, 4089, 476, 274, 281, 4208, 5530, 834, 18131, 538, 4563, 24350, 6597, 3539, 834, 18131, 538, 4563, 257, 2337, 721, 1732, 1174, 875, 8723, 4961, 666, 2097, 1927, 543, 946, 3860, 1797, 547, 2232, 1950, 2518, 2591, 269, 1284, 666, 1451, 827, 17604, 267, 6568, 267, 10100, 267, 543, 6043, 950, 5185, 609, 14488, 269, 1635, 6313, 713, 2013, 1353, 267, 649, 849, 3605, 2081, 547, 4019, 891, 4245, 1369, 938, 2199, 2950, 543, 1020, 1983, 2877, 547, 1831, 3742, 8069, 540, 1689, 6000, 780, 12244, 14313, 1384, 272, 269, 3194, 5741, 281, 5620, 1053, 1106, 8424, 610, 1507, 2516, 547, 1382, 824, 4207, 19191, 5322, 2519, 593, 2127, 2673, 547, 741, 12271, 267, 971, 607, 2916, 1689, 267, 11806, 266, 2924, 267, 2790, 1072, 4656, 267, 3092, 269, 11559, 1142, 2319, 547, 5965, 513, 2110, 6881, 4687, 1883, 5013, 827, 741, 6074, 3350, 267, 1946, 621, 6927, 267, 543, 2009, 2081, 585, 8284, 15032, 547, 1205, 3238, 563, 273, 269, 10020, 2452, 11644, 281, 19147, 1053, 883, 1079, 2516, 910, 834, 18131, 538, 4563, 257, 2818, 543, 24319, 8429, 676, 269, 9105, 519, 1101, 1895, 547, 1909, 2452, 14980, 10149, 2812, 1247, 519, 2034, 1895, 12134, 2055, 610, 8843, 4555, 269, 11120, 4106, 622, 5717, 26063, 827, 2792, 2409, 267, 11994, 267, 4664, 267, 543, 6547, 4810, 1282, 519, 3635, 563, 274, 269, 11300, 20309, 11314, 281, 12833, 924, 1053, 547, 1374, 19297, 610, 2328, 9954, 23187, 6835, 5885, 4708, 267, 9322, 267, 543, 13784, 269, 18224, 13144, 2429, 707, 4928, 610, 1153, 2679, 547, 8300, 6643, 543, 6318, 4656, 780, 6962, 912, 8139, 17933, 543, 1565, 827, 11121, 2516, 899, 834, 18131, 538, 4563, 257, 16877, 721, 547, 4497, 9797, 609, 938, 10450, 543, 2015, 2081, 649, 1932, 666, 948, 3337, 513, 17321, 2104, 269, 5664, 1153, 1053, 723, 2189, 5380, 543, 1648, 602, 666, 3648, 1764, 741, 3885, 267, 3506, 267, 543, 2950, 269, 16871, 3255, 547, 7119, 8362, 7512, 2123, 2208, 543, 11942, 513, 6793, 2631, 540, 4276, 547, 6626, 6848, 2152, 269, 0, 2080, 568, 606, 1349, 689, 513, 2546, 912, 257, 4263, 1156, 320, 19158, 11446, 328, 537, 267, 3397, 517, 2065, 631, 712, 940, 281, 11572, 19837, 2064, 543, 519, 6468, 538, 4563, 267, 25470, 281, 25470, 2160, 4964, 267, 476, 1001, 278, 267, 1535, 4512, 1341, 4097, 279, 6032, 1421, 11278, 866, 269, 4200, 630, 17549, 3724, 1070, 9768, 476, 7818, 268, 272, 268, 5325, 275, 275, 268, 1001, 276, 268, 271, 563, 9349, 2689, 676, 1520, 686, 3570, 2098, 1695, 926, 329, 5271, 328, 24089, 454, 17206, 540, 5617, 14079, 267, 28993, 454, 4263, 1156, 320, 19158, 11446, 328, 537, 781, 3397, 517, 2065, 631, 712, 940, 568, 519, 1034, 2487, 543, 519, 1034, 3312, 1433, 593, 519, 5395, 15487, 15594, 543, 4550, 2173, 4106, 30658, 19191, 1895, 15662, 377, 2940, 579, 9197, 333, 558, 630, 18131, 538, 4563, 1040, 1548, 2306, 621, 865, 3312, 543, 1271, 666, 581, 6829, 609, 513, 19433, 673, 3409, 281, 713, 568, 543, 568, 711, 513, 1433, 827, 6468, 538, 4563, 269, 3397, 517, 2065, 631, 712, 940, 568, 513, 3638, 17801, 4919, 2272, 4843, 607, 513, 3126, 540, 2042, 267, 19433, 525, 267, 543, 844, 663, 2456, 540, 17933, 538, 799, 519, 1895, 689, 28993, 267, 609, 782, 519, 1808, 885, 540, 519, 2796, 540, 922, 11944, 267, 3587, 513, 17565, 585, 513, 1114, 2186, 540, 556, 2173, 1897, 532, 519, 2146, 269, 5510, 1359, 513, 5832, 540, 18759, 593, 519, 30372, 540, 543, 585, 15594, 4708, 17933, 267, 19158, 11446, 328, 537, 15244, 513, 5030, 1686, 540, 513, 1880, 19191, 9333, 752, 514, 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, 1012, 4197, 12793, 543, 2552, 2293, 538, 5124, 692, 1103, 5124, 267, 649, 1419, 946, 3252, 547, 1685, 1808, 4247, 269, 12793, 666, 1491, 3403, 267, 1685, 9273, 267, 543, 2132, 3977, 269, 769, 713, 1770, 267, 649, 3513, 2263, 875, 3252, 666, 581, 1031, 547, 5173, 2418, 543, 875, 649, 666, 14650, 891, 2418, 1210, 26048, 3515, 780, 2162, 12793, 538, 5124, 692, 288, 1599, 538, 5124, 568, 513, 3625, 540, 3009, 602, 568, 2854, 547, 4163, 856, 513, 9138, 4305, 269, 898, 568, 13401, 950, 1572, 269, 1280, 1383, 267, 2015, 519, 1739, 1599, 1384, 3499, 7090, 454, 3698, 26250, 28442, 2187, 825, 1820, 2891, 15916, 267, 834, 1341, 2012, 994, 7884, 1607, 1599, 267, 3957, 2387, 326, 22901, 12452, 3217, 835, 4661, 281, 2387, 4067, 18269, 1879, 649, 1289, 713, 1599, 609, 513, 2012, 267, 621, 786, 1820, 513, 28551, 5048, 269, 1280, 1383, 267, 2387, 326, 22901, 2891, 8334, 8442, 319, 786, 1820, 2387, 15916, 267, 7705, 27471, 2162, 12793, 585, 6726, 725, 692, 1103, 938, 3009, 1349, 267, 649, 1294, 513, 1599, 3957, 2387, 1326, 6958, 4233, 19056, 18269, 901, 1599, 3217, 1614, 7440, 281, 2387, 10818, 12173, 12452, 2387, 343, 12452, 543, 2387, 344, 18269, 634, 1599, 3096, 891, 7440, 547, 5173, 513, 1871, 1210, 835, 540, 1896, 2009, 3252, 630, 319, 6647, 273, 12452, 2387, 6647, 274, 12452, 2387, 6647, 275, 12452, 2387, 6647, 276, 319, 6393, 3499, 7090, 454, 3698, 1205, 6958, 4233, 19056, 6600, 4233, 12173, 267, 1535, 267, 586, 2187, 825, 952, 1599, 12173, 2652, 834, 6647, 273, 13426, 1038, 1401, 344, 815, 1599, 8548, 655, 334, 4877, 525, 273, 3287, 267, 586, 994, 825, 8640, 1599, 12173, 2652, 834, 6647, 274, 13426, 1038, 1401, 344, 815, 1599, 8548, 655, 334, 4877, 525, 274, 3287, 267, 586, 994, 825, 8640, 1599, 12173, 2652, 834, 6647, 275, 13426, 1038, 1401, 344, 815, 1599, 8548, 655, 334, 4877, 525, 275, 3287, 267, 586, 994, 825, 8640, 1599, 12173 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 26892, 14201, 1405, 5921, 547, 581, 6569, 269, 5502, 267, 594, 7307, 547, 14816, 873, 3564, 7816, 267, 17021, 1250, 9241, 9715, 14951, 17303, 8035, 762, 780, 5719, 915, 539, 267, 594, 3576, 547, 23749, 5275, 5583, 689, 8284, 6159, 1123, 338, 945, 949, 723, 11402, 2147, 2152, 269, 4256, 1489, 543, 23274, 18056, 803, 602, 3006, 938, 1034, 1713, 1565, 2833, 2097, 689, 1818, 9073, 269, 769, 1249, 267, 1082, 3755, 3838, 2984, 540, 741, 1378, 1025, 1495, 619, 1282, 1585, 18789, 3785, 269, 8625, 267, 649, 561, 13774, 1117, 693, 938, 7104, 3765, 25074, 543, 6035, 5796, 1759, 593, 2250, 18454, 543, 14286, 780, 11900, 18944, 676, 891, 8941, 540, 6043, 267, 594, 17251, 547, 4368, 1250, 5470, 543, 2347, 1250, 1232, 537, 2457, 20100, 269, 20331, 609, 10682, 25336, 267, 5070, 17549, 267, 3574, 6445, 518, 267, 543, 17105, 8990, 267, 594, 8214, 1194, 519, 29134, 11381, 7406, 269, 4495, 30465, 267, 594, 4553, 519, 2953, 1305, 540, 5528, 543, 9927, 519, 695, 629, 2421, 25447, 883, 513, 7524, 960, 540, 1148, 780, 9961, 713, 3460, 267, 594, 4121, 3407, 4245, 827, 9639, 267, 18094, 267, 543, 519, 2956, 540, 5595, 19295, 9535, 14845, 14292, 5931, 269, 2859, 11932, 267, 2705, 267, 594, 4362, 513, 8748, 2228, 2146, 4904, 609, 2043, 945, 2671, 1250, 6612, 585, 13395, 12348, 543, 4739, 344, 18129, 269, 3767, 267, 8164, 594, 1694, 538, 1250, 4190, 267, 1688, 8154, 539, 11381, 267, 594, 993, 18056, 540, 1312, 519, 2591, 543, 12587, 602, 2097, 689, 8508, 938, 6418, 1525, 1161, 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, 25648, 5498, 937, 1966, 281, 1215, 1281, 519, 1985, 5037, 1439, 2496, 1692, 547, 1232, 537, 2457, 513, 11381, 3097, 27662, 519, 11381, 1101, 269, 3097, 310, 6559, 1524, 519, 11381, 543, 4894, 1022, 25865, 933, 2125, 267, 1989, 830, 610, 824, 11935, 689, 519, 11381, 269, 14190, 547, 3819, 780, 16521, 707, 2626, 689, 912, 5416, 1040, 1133, 331, 864, 610, 3138, 4923, 519, 25336, 269, 901, 786, 16616, 519, 32605, 543, 17684, 896, 519, 11381, 563, 6357, 1040, 23426, 519, 11381, 865, 519, 5377, 986, 2812, 1921, 519, 19758, 269, 3911, 26743, 1524, 519, 1283, 609, 513, 5347, 532, 1907, 610, 5347, 532, 4401, 543, 16013, 519, 10887, 547, 3514, 707, 4998, 11381, 563, 6262, 1040, 20233, 1524, 11356, 593, 519, 960, 2627, 269, 898, 781, 15864, 547, 960, 936, 519, 6989, 855, 596, 666, 960, 936, 513, 14541, 3177, 621, 814, 7899, 540, 2230, 543, 596, 666, 1796, 936, 621, 609, 8897, 563, 5560, 1040, 1411, 1522, 1616, 547, 21149, 519, 11381, 21237, 609, 21149, 656, 610, 1776, 1587, 547, 6146, 4551, 543, 1832, 519, 11381, 15777, 269, 11162, 519, 11381, 21066, 609, 1216, 543, 12853, 563, 6262, 1040, 20233, 1524, 11356, 593, 519, 960, 2627, 269, 898, 781, 15864, 547, 960, 936, 519, 6989, 855, 596, 666, 960, 936, 513, 14541, 3177, 621, 814, 7899, 540, 2230, 543, 596, 666, 9232, 692, 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, 1684, 711, 1376, 609, 5220, 899, 476, 834, 5629, 2390, 513, 942, 257, 607, 713, 568, 513, 14703, 2022, 543, 711, 513, 3209, 267, 596, 1058, 849, 2057, 4358, 609, 5929, 5220, 899, 834, 288, 1906, 1296, 3516, 257, 610, 834, 288, 1906, 1296, 1394, 2580, 581, 3860, 269, 0, 3848, 281, 4197, 661, 30984, 910, 589, 5262, 2159, 17423, 692, 5331, 596, 723, 513, 4620, 3165, 3957, 9791, 602, 596, 4312, 1185, 585, 1082, 1296, 269, 2290, 1554, 267, 596, 5469, 602, 9791, 3884, 1405, 10977, 1472, 899, 646, 1031, 547, 267, 543, 1010, 27634, 3100, 547, 581, 5323, 14563, 269, 1411, 1491, 1864, 547, 519, 17022, 267, 945, 8909, 569, 28279, 596, 602, 9791, 568, 1360, 7210, 543, 4465, 1405, 1205, 1732, 269, 634, 2186, 652, 3364, 547, 798, 1131, 581, 547, 2161, 1434, 25742, 543, 1577, 9791, 979, 25678, 269, 901, 2352, 3375, 568, 2147, 547, 1018, 1004, 3006, 3068, 950, 621, 2501, 547, 3425, 543, 1945, 1572, 834, 324, 30984, 6231, 3383, 267, 1018, 1281, 834, 324, 30984, 257, 1611, 286, 898, 2501, 689, 1079, 5259, 1913, 281, 834, 15710, 2580, 799, 1797, 1434, 267, 543, 834, 22474, 520, 657, 2580, 799, 1797, 2669, 269, 8625, 789, 1711, 519, 2262, 834, 16591, 2669, 2437, 855, 621, 666, 849, 581, 2219, 540, 607, 4543, 2576, 1439, 741, 1272, 1928, 8393, 952, 789, 616, 7092, 689, 513, 11213, 4576, 602, 3112, 581, 23174, 269, 2368, 1004, 1289, 713, 23502, 11318, 269, 1717, 267, 1317, 972, 616, 2178, 4606, 827, 10678, 513, 1268, 781, 1272, 267, 1256, 950, 789, 616, 7680, 1390, 7092, 267, 1114, 2477, 723, 2813, 2027, 3652, 267, 1634, 607, 4031, 267, 4478, 552, 30984, 269, 2913, 781, 2263, 875, 1079, 15231, 3864, 6082, 267, 19934, 543, 519, 13814, 267, 1589, 827, 543, 4383, 552, 30984, 780, 6524, 649, 4685, 883, 1346, 1808, 2197, 2984, 267, 1498, 267, 1577, 781, 1101, 1451, 811, 827, 1946, 1004, 1522, 2015, 552, 30984, 676, 1620, 922, 4276, 547, 7881, 9789, 1353, 540, 1318, 543, 4636, 269, 1879, 7234, 552, 30984, 267, 1896, 1271, 2418, 2097, 909, 267, 971, 607, 8296, 267, 2123, 3903, 267, 543, 2463, 585, 1272, 269, 3509, 2043, 3494, 621, 568, 1898, 547, 1397, 11587, 543, 13468, 11991, 1928, 282, 3976, 267, 5885, 552, 30984, 269, 11524, 8044, 602, 782, 1272, 1590, 581, 6870, 267, 7488, 540, 835, 781, 2298, 540, 1272, 269, 1306, 596, 666, 1294, 267, 891, 18312, 8369, 1106, 513, 1713, 851, 540, 519, 7521, 2439, 3086, 267, 1394, 547, 938, 1292, 1445, 281, 1565, 827, 552, 30984, 538, 19934, 543, 519, 13814, 269, 5637, 2477, 1450, 552, 30984, 896, 1978, 2175, 269, 1280, 1383, 267, 513, 4387, 949, 1685, 552, 30984, 1152, 952, 519, 3461, 814, 4280, 14578, 543, 23119, 30898, 792, 2406, 689, 606, 26464, 2564, 2783, 269, 3958, 267, 1312, 2477, 1305, 909, 26639, 9967, 540, 7189, 267, 17864, 267, 543, 8723, 4961, 547, 2689, 1142, 2013, 1310, 552, 30984, 3217, 1747, 269, 1452, 26639, 2327, 602, 519, 4808, 941, 4553, 7157, 1354, 1237, 1324, 1022, 3527, 3144, 780, 1103, 19934, 267, 4481, 267, 519, 2229, 3964, 519, 8549, 6513, 543, 16214, 8189, 547, 936, 5408, 552, 30984, 2665, 269, 1358, 2638, 2436, 519, 1697, 1184, 729, 5645, 856, 2687, 547, 519, 1876, 269, 2201, 519, 824, 1688, 267, 519, 13814, 4646, 13636, 5623, 8758, 21164, 267, 3850, 2199, 2950, 547, 7119, 8362, 538, 5464, 15984, 547, 6042, 780, 8601, 4687, 10486, 267, 19934, 543, 519, 13814, 723, 3604, 3823, 25046, 7355, 269, 769, 519, 13814, 267, 1295, 832, 9907, 12964, 543, 4587, 666, 7662, 552, 30984, 896, 15366, 9844, 267, 6466, 19934, 3340, 2550, 547, 581, 693, 2547, 29933, 1296, 2025, 269, 5015, 267, 7429, 519, 13814, 267, 1141, 1875, 5937, 8553, 7264, 5749, 1405, 4847, 547, 3343, 552, 30984, 1247, 9683, 267, 19934, 14998, 4914, 4182, 1023, 2713, 13383, 547, 1569, 552, 30984, 2533, 1369, 922, 10665, 780, 8139, 1585, 5380, 593, 552, 30984, 2636, 721, 547, 5660, 519, 10848, 3297, 2870, 4031, 12044, 10347, 5396, 269, 1635, 6313, 19934, 543, 519, 13814, 267, 649, 4362, 3309, 4485, 2509, 5466, 1367, 2924, 267, 13190, 267, 543, 15683, 1282, 4101, 2053, 269, 2755, 1647, 1153, 1053, 1810, 1405, 991, 547, 6430, 593, 891, 2152, 2943, 267, 1373, 3222, 540, 873, 7512, 2565, 3206, 543, 6568, 269, 0, 2080, 568, 606, 1349, 689, 513, 2546, 912, 10454, 5683, 543, 3140, 4282, 540, 519, 32068, 543, 10656, 4031, 593, 552, 30984, 454, 5475, 513, 2489, 4367, 547, 7881, 543, 519, 7881, 540, 552, 30984, 267, 513, 5619, 568, 3177, 540, 519, 6090, 529, 540, 519, 552, 30984, 4031, 538, 19934, 543, 519, 13814, 267, 609, 519, 8247, 547, 1683, 513, 2312, 2856, 540, 519, 2035, 3238, 543, 540, 519, 24117, 585, 741, 4367, 269, 634, 1909, 540, 519, 32068, 13693, 894, 9730, 593, 12713, 996, 923, 538, 519, 1646, 540, 519, 5683, 4901, 538, 19934, 568, 6045, 607, 1134, 607, 519, 9759, 540, 519, 7096, 5683, 7941, 1063, 519, 2048, 19254, 819, 685, 543, 519, 4168, 24273, 269, 2991, 513, 5758, 540, 519, 2596, 2798, 540, 519, 32068, 1876, 267, 513, 6476, 568, 1500, 1063, 519, 32068, 543, 519, 10656, 4031, 543, 741, 5683, 13210, 563, 13775, 538, 918, 4669, 623, 822, 997, 1299, 8738, 16223, 691, 645, 668, 332, 630, 539, 13776, 27096, 773, 3768, 11096, 2684, 773, 1990, 636, 5576, 1067, 345, 267, 717, 7238, 339, 1154, 523, 267, 966, 663, 523, 21539, 1188, 1299, 681, 1575, 516, 19816, 267, 476, 1220, 275, 563, 272, 269, 634, 7881, 540, 552, 30984, 281, 2489, 4367, 454, 272, 269, 476, 272, 269, 4595, 519, 5717, 7282, 552, 30984, 4497, 930, 540, 519, 1034, 4909, 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, 11470, 8606, 916, 543, 519, 23830, 540, 7087, 6468, 538, 28527, 6361, 5025, 613, 15881, 2510, 692, 1103, 2487, 1296, 267, 972, 814, 1044, 3395, 6284, 540, 519, 2956, 540, 3309, 11269, 538, 5708, 8874, 269, 901, 6521, 2509, 13784, 814, 3366, 547, 2799, 15287, 540, 26173, 2516, 971, 607, 7087, 2021, 538, 1585, 11964, 267, 1519, 4947, 6361, 21943, 6386, 269, 1717, 267, 5103, 891, 7760, 267, 22457, 11475, 3136, 547, 6414, 267, 12018, 6848, 11994, 543, 8456, 2509, 645, 7709, 334, 290, 2043, 269, 769, 713, 3184, 267, 649, 5490, 883, 519, 6946, 2078, 1063, 10168, 267, 5708, 8874, 267, 543, 519, 24575, 540, 7087, 2021, 1369, 4947, 6361, 21943, 2984, 269, 1284, 2253, 676, 6313, 3140, 26007, 543, 741, 6286, 267, 4553, 676, 4207, 7835, 543, 6932, 4798, 269, 3414, 2565, 2079, 543, 4901, 267, 596, 786, 2744, 513, 4514, 1620, 540, 519, 1379, 6384, 693, 1404, 543, 1451, 547, 2697, 16609, 21050, 525, 1247, 19825, 2318, 10593, 538, 9423, 780, 23208, 3493, 11881, 281, 853, 699, 8040, 543, 8210, 5501, 692, 2414, 1174, 519, 4644, 540, 1459, 6377, 11269, 267, 621, 781, 1898, 1101, 547, 4983, 2250, 28402, 540, 7087, 2021, 538, 5708, 8874, 269, 25214, 267, 21035, 814, 1419, 10419, 18050, 5739, 11475, 267, 17923, 7292, 25327, 543, 2417, 8589, 1944, 2907, 7925, 2950, 269, 2368, 1455, 21050, 525, 1331, 1384, 265, 32201, 5260, 1137, 281, 7087, 3197, 13269, 607, 20244, 4075, 6681, 1813, 547, 741, 4276, 609, 2470, 855, 6038, 17071, 547, 3043, 13896, 563, 265, 7395, 673, 12075, 281, 8111, 11499, 7919, 945, 4865, 25386, 7060, 610, 1702, 267, 632, 16058, 1944, 543, 16678, 1944, 7087, 9082, 563, 265, 966, 4314, 532, 25165, 281, 589, 2239, 3926, 17929, 7087, 4529, 616, 17814, 607, 7106, 8960, 610, 798, 15701, 547, 14486, 267, 2144, 2084, 2713, 12583, 543, 7700, 547, 2686, 1045, 529, 2225, 780, 4322, 5187, 2065, 1915, 3074, 3565, 547, 513, 1395, 18070, 2070, 540, 7087, 9163, 267, 24937, 519, 3638, 4763, 1851, 1114, 6082, 543, 2950, 269, 3958, 267, 789, 1419, 2124, 22017, 7087, 2021, 547, 5885, 5107, 267, 10893, 741, 8116, 543, 23141, 269, 1635, 4835, 1944, 891, 3908, 28402, 267, 9458, 949, 26968, 5944, 27481, 25641, 4978, 543, 2853, 780, 28757, 3763, 906, 281, 27915, 5131, 3245, 15053, 995, 570, 1886, 525, 692, 13146, 5756, 723, 2938, 3356, 538, 4101, 2757, 11475, 998, 811, 13857, 543, 8076, 11269, 540, 7087, 2021, 538, 4947, 6361, 21943, 6386 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 723, 18397, 267, 621, 568, 513, 1434, 2856, 547, 24390, 707, 11950, 563, 12648, 519, 942, 547, 3635, 269, 11644, 11226, 707, 1560, 538, 7829, 7378, 267, 3976, 5329, 707, 1973, 4006, 7123, 269, 1280, 31911, 267, 3635, 568, 606, 1898, 1840, 547, 519, 6197, 563, 30048, 3085, 1406, 723, 547, 581, 17559, 267, 1175, 13599, 3054, 269, 1635, 9001, 519, 5583, 538, 713, 4062, 267, 596, 786, 1332, 547, 1174, 519, 2565, 1909, 1702, 4249, 538, 707, 2949, 1134, 5630, 269, 0, 763, 30529, 3885, 538, 8832, 8581, 723, 11124, 513, 10565, 2887, 538, 741, 4747, 1739, 519, 2804, 15125, 1248, 267, 14016, 908, 693, 513, 6825, 569, 8338, 2557, 982, 519, 1964, 540, 5177, 267, 3081, 1007, 1382, 3370, 676, 519, 9478, 18007, 660, 872, 7690, 630, 297, 27184, 1916, 268, 5600, 3835, 26038, 267, 6710, 3928, 543, 519, 11668, 2344, 723, 782, 7707, 2989, 538, 8832, 8581, 538, 519, 2063, 2947, 1296, 269, 769, 1142, 2013, 267, 713, 21324, 814, 1044, 3152, 982, 538, 519, 1964, 540, 519, 5177, 563, 268, 9737, 476, 1220, 277, 268, 5881, 543, 476, 1001, 272, 268, 1321, 519, 3328, 630, 4364, 1014, 264, 4747, 538, 8832, 8581, 8593, 676, 3592, 476, 1015, 829, 1298, 3379, 609, 476, 278, 829, 1298, 585, 519, 5177, 607, 513, 2898, 269, 634, 2887, 693, 519, 5377, 540, 519, 4747, 3892, 729, 849, 1454, 3152, 538, 8832, 8581, 563, 268, 634, 8167, 540, 32014, 2324, 21943, 1004, 538, 8832, 8581, 3592, 23060, 1063, 476, 1220, 278, 268, 5400, 543, 476, 1001, 273, 268, 1724, 547, 3914, 476, 276, 269, 279, 829, 1298, 563, 268, 634, 8167, 540, 27404, 619, 538, 6710, 538, 8832, 8581, 8593, 689, 476, 866, 829, 1298, 547, 476, 1626, 829, 1298, 538, 519, 2947, 1296, 547, 476, 1001, 272, 268, 1321, 269, 1280, 2324, 21943, 4079, 543, 1453, 519, 6710, 2557, 9782, 936, 713, 1974, 563, 268, 769, 519, 2947, 1296, 547, 476, 1001, 272, 268, 1321, 267, 519, 6710, 2557, 1851, 4079, 9907, 476, 1626, 268, 3066, 9782, 676, 476, 279, 6871, 2798, 267, 547, 3914, 476, 2918, 829, 1298, 269, 7324, 1346, 9907, 476, 1789, 268, 6795, 6710, 1185, 849, 2799, 267, 855, 9003, 1851, 1346, 538, 3885, 609, 606, 1274, 1676, 563, 268, 1403, 9659, 10391, 2640, 616, 711, 18886, 607, 4747, 267, 8832, 8581, 781, 6710, 2557, 4679, 689, 476, 2420, 547, 476, 2190, 829, 1298, 1107, 693, 2547, 607, 1164, 607, 1022, 851, 540, 519, 5177, 3544, 5507, 563, 268, 634, 1764, 540, 10304, 6963, 538, 8832, 8581, 786, 581, 9962, 982, 538, 519, 1964, 540, 519, 5177, 281, 519, 8167, 540, 3409, 1218, 538, 8832, 8581, 5732, 4299, 676, 2901, 519, 1412, 5523, 3336, 3454, 262, 610, 519, 1689, 547, 9659, 2713, 27108, 568, 5595, 519, 1377, 11992, 563, 19878, 807, 1133, 7773, 267, 12751, 15445, 540, 808, 27184, 267, 1767, 281, 1412, 1607, 1867, 8761, 513, 3126, 540, 20468, 3466, 585, 8832, 8581, 267, 609, 19394, 26038, 543, 2816, 16548, 3056, 547, 8375, 6710, 269, 1452, 4681, 616, 513, 12687, 1575, 1289, 585, 6608, 538, 23566, 2632, 543, 31689, 281, 649, 991, 513, 3102, 4640, 547, 2569, 6710, 585, 1004, 538, 8832, 8581, 269, 901, 1797, 21365, 519, 5817, 3123, 540, 6710, 267, 971, 607, 519, 1297, 543, 2298, 540, 6009, 593, 2709, 23823, 13126, 281, 16424, 24770, 543, 4317, 1401, 2424, 538, 8832, 8581, 476, 1001, 275, 267, 9478, 18007, 660, 872, 7690, 454, 299, 3855, 281, 7797, 1923, 808, 27184, 2046, 5305, 1923, 18917, 1867, 0, 25823, 749, 2572, 723, 1044, 1031, 538, 13739, 585, 1082, 1296, 267, 538, 1880, 607, 513, 1463, 3562, 25571, 3028, 543, 585, 9295, 7933, 626, 9084, 20555, 269, 2991, 2072, 519, 2757, 267, 3592, 12809, 267, 1909, 540, 15408, 814, 1044, 13934, 269, 23206, 814, 5828, 547, 519, 29577, 543, 7317, 1761, 540, 9682, 2533, 267, 607, 1134, 607, 519, 19427, 609, 824, 4066, 971, 607, 5985, 10618, 267, 2518, 17568, 543, 519, 5769, 563, 292, 4811, 296, 2930, 12233, 590, 2464, 630, 25823, 22972, 3047, 853, 725, 543, 7010, 264, 10953, 4441, 585, 513, 2647, 2039, 540, 2152, 7282, 9682, 10618, 281, 891, 1331, 9682, 2792, 2533, 543, 3156, 630, 10175, 5985, 543, 31076, 1070, 3618, 10473, 543, 3618, 6728, 3937, 267, 2523, 519, 5925, 4908, 17103, 543, 3060, 543, 5924, 3593, 17103, 543, 10873, 8045, 538, 3618, 10473, 543, 9682, 1949, 563, 25823, 22972, 3059, 5925, 454, 1103, 476, 1220, 277, 267, 661, 4811, 296, 3812, 519, 1101, 2930, 16551, 547, 5512, 519, 11865, 540, 3059, 5925, 1949, 936, 2342, 676, 15408, 267, 2059, 2147, 3515, 547, 519, 3811, 1949, 5665, 538, 519, 2136, 2276, 269, 31420, 3059, 5925, 786, 5838, 9937, 540, 1164, 7779, 8301, 9055, 609, 2404, 2533, 563, 21158, 543, 9295, 6402, 454, 292, 4811, 296, 814, 4441, 585, 31420, 5240, 20283, 532, 630, 306, 7582, 264, 543, 585, 8613, 9295, 3156, 676, 9682, 267, 9967, 540, 1448, 3562, 15304, 610, 1448, 3562, 2173, 738, 760, 2002, 18993, 3827, 267, 8220, 6378, 610, 3560, 762, 10575, 1074, 543, 8391, 10473, 269, 634, 20487, 585, 519, 2034, 5108, 7913, 11473, 16340, 26511, 676, 31420, 630, 291, 309, 289, 4149, 273, 1070, 3864, 9208, 13673, 476, 23714, 476, 28906, 267, 2882, 11865, 585, 7913, 7641, 2552, 9084, 543, 31420, 5240, 20283, 532, 630, 291, 29552, 290, 270, 9169, 7582, 1916, 763, 1739, 568, 513, 1592, 540, 5063, 3370, 543, 4749, 22434, 4441, 269, 7490, 946, 519, 661, 4811, 296, 4441, 3406, 547, 1265, 2417, 1644, 4441, 538, 519, 1857, 6389, 610, 547, 24049, 585, 25887, 593, 10311, 540, 661, 4811, 296, 4441, 563, 2690, 960, 538, 3356, 1294, 519, 661, 4811, 296, 4518, 19510, 593, 519, 5800, 531, 563, 347, 24092, 3143, 13954, 24092, 2140, 2008, 347, 4811, 476, 9083, 476, 20862, 1475, 25823, 22972, 7913, 15571, 630, 306, 11403, 264, 7010, 282, 4934, 518, 8447, 23771, 540, 519, 15571, 28497, 2008, 347, 4811, 476, 9083, 476, 4649, 272, 268, 272, 1475, 25823, 22972, 7913, 15571, 630, 306, 11403, 264, 7010, 282, 28740, 8447, 23771, 540, 519, 15571, 28497, 3248, 8512, 476, 272, 281, 17266, 15298, 6771, 454, 347, 2894, 476, 23714, 476, 28906, 1475, 13553, 5108, 25194, 2497, 267, 8756, 8193, 543, 25244, 1949, 585, 16340, 26511, 267, 20308, 7896, 267, 5240, 20283, 532, 543, 824, 29577, 9682, 3156, 2008, 347, 2894, 476, 22145, 476, 25396, 1475, 295, 1301, 517, 1242, 13673, 585, 31420, 5240, 20283, 532, 13255, 762, 3047, 853, 725, 630, 306, 7582, 570, 2464, 264, 5665, 538, 519, 476, 1556, 268, 1321, 270, 1724, 268, 1691, 717, 13703, 4908, 13164, 8720, 1898, 4170, 896, 2376, 476, 274, 269, 273, 540, 519, 681, 261, 307, 15288, 1463, 633, 2008, 347, 2894, 476, 22145, 476, 19442, 1475, 10870, 268, 867, 1588, 9055, 2404, 609, 7913, 31420, 5240, 20283, 532, 630, 9169, 7582, 10245, 347, 292, 4811, 476, 4968, 476, 6858, 274, 1475, 16978, 549, 300, 8568, 3281, 520, 2225, 630, 4932, 290, 264, 3044, 585, 476, 275, 270, 277, 717, 13703, 543, 476, 1556, 270, 1321, 270, 1691, 717, 13703, 15020, 9540, 589, 13630, 675, 12910, 1400, 630, 309, 306, 2969, 264, 3937, 543, 476, 1556, 270, 1321, 270, 1724, 270, 1691, 717, 13703, 31420, 5240, 20283, 532, 630, 306, 7582, 264, 13255, 762, 3047, 13749, 630, 307, 2464, 264, 3937, 347, 0, 288, 1906, 3275, 3516, 594, 729, 19855, 2228, 998, 930, 476, 274, 291, 3631, 585, 476, 274, 291, 8228, 543, 594, 1185, 519, 2856, 540, 1818, 513, 3579, 15914, 5027, 4477, 1460, 17689, 269, 594, 729, 6273, 676, 519, 2757, 23419, 22311, 855, 594, 4941, 547, 798, 1945, 513, 2370, 3787, 1114, 563, 296, 2219, 827, 1210, 16657, 538, 519, 4158, 27129, 547, 1118, 519, 5027, 4477, 1460, 1796, 856, 950, 519, 8279, 941, 1055, 269, 594, 849, 2219, 621, 1131, 581, 3579, 547, 1118, 519, 27178, 28201, 538, 543, 856, 547, 1118, 513, 3579, 3308, 1198, 593, 519, 5027, 267, 4657, 689, 30437, 3043, 547, 3039, 267, 4758, 621, 519, 20868, 4743, 540, 513, 12357, 9409, 1995, 610, 602, 621, 568, 9800, 11214, 563, 296, 849, 4941, 547, 581, 2111, 547, 3442, 952, 519, 27178, 941, 535, 8172, 267, 610, 952, 789, 941, 2141, 10396, 610, 5508, 293, 267, 543, 952, 519, 5027, 729, 15914, 610, 711, 267, 865, 594, 4956, 547, 1039, 513, 7903, 7735, 547, 2824, 519, 5106, 7154, 540, 519, 17689, 267, 799, 1131, 2154, 513, 29668, 518, 547, 1852, 782, 540, 713, 563, 1103, 713, 4051, 762, 267, 594, 3513, 581, 6029, 596, 875, 594, 1705, 713, 17689, 543, 875, 2241, 621, 568, 547, 798, 1945, 3579, 543, 1114, 267, 602, 596, 666, 798, 621, 1932, 2336, 302, 10798, 267, 594, 917, 1018, 596, 2811, 3206, 267, 855, 713, 568, 2965, 513, 1360, 1271, 1900, 585, 713, 4051, 762, 256, 1284, 2811, 2469, 547, 581, 7829, 1896, 3457, 543, 2645, 602, 1522, 991, 513, 2027, 3007, 547, 2057, 10913, 912, 8855, 267, 3106, 1101, 256 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 2048, 2086, 699, 685, 568, 513, 1770, 540, 6482, 602, 4016, 547, 519, 5122, 1699, 13576, 998, 513, 18364, 269, 634, 18041, 12773, 540, 513, 1286, 6007, 4016, 547, 519, 5021, 2179, 540, 1699, 602, 519, 6007, 666, 1683, 780, 763, 18041, 12773, 540, 513, 1286, 6007, 666, 2039, 689, 476, 20862, 993, 1186, 547, 476, 1911, 271, 993, 1186, 269, 634, 4890, 18041, 12773, 540, 513, 1880, 6007, 786, 4096, 593, 513, 1297, 540, 2188, 267, 1519, 519, 4835, 7998, 540, 519, 6007, 543, 922, 15395, 4390, 780, 763, 18041, 12773, 540, 513, 1286, 6007, 568, 606, 1271, 7156, 950, 7446, 513, 6007, 585, 707, 1286, 269, 589, 2362, 18041, 12773, 1797, 602, 519, 6007, 666, 1683, 811, 1379, 267, 799, 666, 581, 5363, 952, 596, 1544, 593, 1210, 707, 1286, 585, 1164, 14617, 3156, 780, 13010, 267, 589, 1286, 6007, 779, 18041, 12773, 9775, 4470, 593, 1896, 2188, 267, 1519, 922, 4835, 7998, 543, 15395, 4390, 269, 4107, 9075, 616, 13042, 609, 606, 18041, 5662, 12773, 267, 799, 568, 1114, 689, 519, 18041, 12773, 269, 634, 18041, 12773, 540, 513, 1286, 6007, 568, 1271, 547, 2015, 950, 7446, 513, 6007, 585, 707, 1286, 780, 1692, 3509, 2549, 1186, 3657, 769, 589, 476, 1321, 5292, 339, 2961, 23996, 2496, 1607, 568, 513, 2243, 602, 1082, 1004, 723, 950, 789, 616, 1101, 4358, 547, 960, 609, 6517, 269, 634, 2626, 568, 602, 972, 616, 476, 1321, 993, 1186, 538, 513, 476, 1321, 18699, 1286, 6007, 269, 901, 1797, 602, 952, 596, 941, 547, 1491, 707, 1286, 6007, 543, 2322, 621, 538, 513, 476, 1321, 18699, 5547, 267, 596, 1131, 723, 476, 1321, 993, 1186, 13576, 998, 602, 5547, 780, 1692, 3509, 2549, 1186, 6496, 589, 2961, 23996, 10261, 1677, 3399, 2496, 288, 1286, 6007, 2115, 513, 5934, 540, 476, 6110, 4411, 1835, 21403, 993, 1186, 547, 1376, 269, 1717, 267, 519, 4890, 1297, 540, 993, 1186, 2838, 547, 1376, 513, 1286, 949, 581, 2362, 4470, 593, 519, 2599, 2450, 267, 2085, 540, 519, 6007, 267, 543, 824, 2188, 780, 1692, 3509, 2549, 1186, 1772, 589, 2961, 23996, 932, 24147, 2496, 1607, 568, 513, 2243, 602, 568, 1419, 4280, 267, 543, 972, 616, 513, 1906, 1114, 2081, 547, 2626, 621, 269, 634, 1101, 1259, 547, 2626, 621, 568, 547, 1413, 693, 519, 993, 704, 720, 12773, 540, 519, 29789, 269, 901, 786, 2995, 596, 875, 1082, 993, 1186, 519, 29789, 666, 3977, 269, 634, 2034, 1259, 547, 2626, 621, 568, 547, 1413, 693, 519, 2450, 540, 519, 1286, 6007, 269, 901, 786, 2285, 596, 513, 11315, 2856, 540, 875, 1082, 993, 1186, 519, 29789, 786, 991, 547, 581, 2111, 547, 3977, 538, 1931, 547, 5279, 519, 6007, 780, 763, 3791, 1259, 547, 2626, 713, 2243, 568, 547, 1413, 693, 519, 1286, 6007, 29789, 3294, 269, 3509, 1286, 6007, 5056, 619, 723, 513, 3710, 538, 993, 31461, 269, 901, 786, 1450, 596, 547, 1294, 875, 1082, 993, 1186, 519, 29789, 568, 3977, 1154, 780, 3383, 267, 875, 1082, 993, 1186, 568, 513, 1286, 6007, 29789, 286, 898, 2731, 5673, 593, 513, 1906, 1114, 2188, 269, 1717, 267, 1034, 1286, 6007, 5056, 619, 786, 581, 2111, 547, 3977, 1063, 476, 1015, 543, 476, 736, 993, 1186, 780, 1432, 1772, 634, 19105, 2549, 704, 720, 1280, 589, 2961, 23996, 2496, 1607, 568, 513, 2352, 2243, 547, 2626, 1510, 6616, 811, 827, 519, 1286, 543, 519, 6007, 538, 2243, 269, 1717, 267, 649, 666, 1683, 930, 2489, 1344, 602, 949, 581, 5363, 780, 763, 3328, 993, 704, 720, 585, 513, 1286, 6007, 568, 2356, 1063, 476, 1789, 543, 476, 1911, 993, 1186, 269, 634, 993, 704, 720, 786, 4268, 4470, 593, 519, 2450, 540, 519, 6007, 267, 519, 1118, 543, 2203, 540, 519, 1286, 267, 543, 875, 2025, 519, 6007, 568, 269, 589, 1007, 6007, 786, 3335, 723, 513, 2362, 993, 704, 720, 982, 606, 4587, 6007, 780, 2005, 779, 1271, 547, 4063, 602, 519, 993, 704, 720, 540, 513, 1286, 6007, 568, 711, 2141, 3586, 269, 634, 993, 704, 720, 666, 11385, 622, 4470, 593, 519, 7569, 540, 519, 1286, 779, 5122, 1062, 269, 1280, 1383, 267, 952, 519, 1286, 779, 2212, 7547, 616, 5828, 593, 267, 519, 6007, 786, 581, 2838, 547, 1683, 811, 993, 704, 720, 982, 952, 519, 2212, 7547, 616, 1055, 780, 2252, 596, 2461, 3843, 547, 3313, 519, 993, 704, 720, 540, 707, 1286, 6007, 267, 621, 779, 1655, 547, 5077, 707, 1286, 779, 8227, 779, 8261, 610, 513, 11727, 2964, 545, 780, 1432, 1772, 634, 30003, 30579, 1656, 2549, 704, 720, 28951, 1280, 589, 2961, 23996, 2496, 288, 1286, 6007, 3335, 814, 513, 6453, 540, 476, 1321, 24311, 543, 606, 993, 704, 720, 12773, 540, 827, 476, 2004, 993, 1186, 780, 1692, 3509, 5292, 1206, 1772, 589, 2961, 23996, 2496, 763, 3044, 1286, 6007, 568, 476, 1321, 24311, 269, 901, 1797, 602, 621, 666, 1683, 476, 1321, 24311, 540, 1379, 547, 519, 1286, 779, 5122, 1062, 780, 1692, 1677, 4530, 2961, 23996, 2549, 1186, 2060, 5564, 9014, 2496, 2691, 707, 1286, 779, 6007, 6238, 547, 5884, 267, 621, 666, 581, 2352, 547, 917, 875, 1454, 1379, 621, 814, 2451, 269, 1411, 1522, 711, 581, 2111, 547, 1376, 707, 1286, 267, 610, 596, 1522, 5469, 602, 519, 8279, 616, 3897, 2719, 269, 2290, 1259, 547, 1449, 519, 6007, 568, 547, 946, 513, 1617, 9014, 780, 288, 1617, 9014, 568, 606, 6293, 602, 3800, 5122, 6453, 267, 1699, 267, 543, 4187, 269, 898, 666, 581, 1031, 547, 1449, 1286, 9075, 267, 607, 1134, 607, 824, 5122, 3334, 538, 707, 1286, 780, 2414, 1449, 707, 1286, 6007, 609, 513, 1617, 9014, 267, 1101, 1118, 2386, 602, 519, 1617, 9014, 568, 5828, 1055, 269, 3973, 267, 1921, 519, 1617, 9014, 547, 519, 6007, 23525, 269, 634, 2699, 1291, 1058, 581, 4448, 547, 519, 2318, 12363, 267, 543, 519, 3109, 1291, 1058, 581, 4448, 547, 519, 2942, 12363, 780, 5629, 519, 1617, 9014, 568, 4448, 267, 2490, 621, 593, 543, 1305, 621, 547, 519, 3617, 4259, 269, 1280, 1034, 1286, 9075, 267, 596, 786, 1616, 547, 1305, 621, 547, 476, 736, 24311, 269, 2060, 519, 1617, 9014, 5828, 593, 267, 5905, 519, 5012, 1927, 269, 901, 786, 2285, 596, 513, 15977, 2542, 780, 9202, 267, 5905, 519, 2699, 1291, 547, 519, 2318, 12363, 540, 519, 6007, 543, 519, 3109, 1291, 547, 519, 2942, 12363, 269, 634, 1617, 9014, 1058, 2285, 596, 513, 2542, 602, 568, 2673, 547, 519, 15977, 2542, 269, 1403, 519, 2542, 568, 3648, 1114, 267, 519, 6007, 949, 581, 8697, 780, 2414, 1205, 513, 811, 4977, 2542, 267, 596, 666, 1491, 2789, 13220, 543, 3328, 873, 1927, 269, 1411, 666, 849, 1449, 519, 6007, 693, 1114, 28696, 547, 1294, 875, 621, 20781, 780, 2252, 596, 1589, 602, 707, 1286, 6007, 568, 4358, 547, 3111, 267, 621, 568, 1271, 547, 723, 621, 7318, 676, 513, 3318, 269, 1358, 666, 948, 596, 3313, 952, 519, 6007, 2115, 547, 581, 8719, 780, 1432, 1772, 634, 26228, 7089, 2986, 2549, 1186, 2334, 589, 2961, 23996, 2052, 3629, 2496, 1607, 568, 513, 2243, 602, 1082, 1004, 723, 267, 855, 519, 2626, 949, 9983, 596, 269, 634, 5021, 1297, 540, 993, 1186, 602, 513, 1286, 6007, 666, 1683, 568, 2965, 3833, 1970, 269, 769, 1249, 267, 621, 568, 1152, 827, 476, 1789, 993, 1186, 269, 901, 568, 1317, 519, 6007, 568, 711, 2966, 547, 1683, 513, 1164, 2179, 540, 1379, 585, 513, 1279, 1974, 540, 942, 269, 898, 568, 1152, 5921, 547, 1683, 513, 1507, 2179, 540, 1379, 585, 513, 2110, 1974, 540, 942, 780, 1692, 7043, 6496, 898, 6875, 1280, 589, 2961, 23996, 1677, 667, 1778, 1403, 28691, 3657, 19382, 2201, 286, 1215, 7043, 6496, 589, 2961, 23996, 7831, 1403, 25181, 28691, 3657, 19382, 2201, 2496, 4322, 616, 1312, 1390, 2055, 602, 616, 1419, 4280, 676, 1286, 5411, 269, 634, 2626, 547, 519, 1101, 2243, 568, 602, 621, 5673, 593, 519, 1826, 540, 6007, 596, 723, 538, 707, 1286, 269, 1403, 596, 723, 513, 3044, 1291, 14092, 573, 6007, 267, 621, 786, 1491, 1472, 476, 2190, 3108, 585, 519, 6007, 547, 8963, 952, 519, 8279, 616, 2451, 593, 269, 1403, 596, 723, 513, 811, 3532, 6007, 267, 971, 607, 513, 16864, 23760, 6007, 267, 621, 786, 1491, 1472, 476, 1321, 3108, 585, 519, 6007, 547, 8963, 780, 763, 2626, 547, 519, 2034, 2243, 568, 602, 621, 5673, 593, 875, 1419, 596, 946, 707, 1286, 269, 1403, 596, 946, 707, 1286, 5781, 267, 1287, 519, 6007, 786, 2063, 585, 1472, 476, 277, 3275, 269, 1403, 596, 1152, 946, 707, 1286, 12212, 267, 1287, 519, 6007, 786, 2063, 585, 1472, 476, 272, 1032, 780, 1432, 1772, 634, 2549, 335, 699, 28951, 2986, 589, 2961, 23996, 2496, 1607, 568, 513, 2243, 602, 1082, 1286, 5411, 949, 723, 267, 855, 711, 3025, 6487, 519, 2626, 269, 634, 18041, 699, 12773, 540, 513, 1286, 6007, 6920, 519, 5021, 1699, 602, 519, 6007, 666, 1683, 269, 898, 568, 1271, 547, 917, 519, 18041, 699, 12773, 540, 707, 1286, 6007, 865, 602, 596, 666, 3442, 519, 1318, 2450, 6007, 585, 707, 1286, 780, 1432, 1772, 1323, 2549, 335, 6953, 712, 15873, 2986, 589, 2961, 23996, 2496, 2304, 18041, 16923, 5750, 540, 513, 1286, 6007, 568, 513, 21370, 6041, 540, 519, 6007, 779, 11166, 2557, 936, 942, 269, 634, 1535, 14289, 540, 519, 3113, 4564, 942, 267, 1247, 519, 586, 14289, 4564, 519, 11166, 2557, 538, 993, 1186, 269, 634, 11166, 2557, 568, 513, 2268, 540, 875, 1454, 1699, 519, 6007, 666, 1683, 936, 942, 269, 634, 2362, 519, 11166, 2557, 267, 519, 811, 1699, 519, 6007, 666, 1683, 780, 1432, 1772, 634, 5020, 21673, 3599, 2986, 589, 2961, 23996, 2496, 1607, 568, 513, 2352, 2243, 547, 2626, 1510, 6616, 811, 827, 519, 1808, 1286, 6007, 538, 2243, 269, 1717, 267, 538, 2489, 267, 1034, 1286, 9075, 723, 513, 1272, 19104, 540, 1063, 1614, 543, 2947, 1296, 269, 901, 1797, 602, 267, 593, 3328, 267, 513, 1286, 6007, 786, 991, 547, 581, 8719, 693, 2547, 2899, 1169, 2185, 1296, 269, 2986, 1576, 267, 713, 568, 1175, 513, 2489, 23988, 543, 930, 9075, 949, 2063, 3476, 610, 991, 547, 581, 8719, 811, 4749, 780, 1692, 7043, 1684, 1411, 5620, 1677, 20000, 589, 2961, 1677, 932, 1618, 634, 23996, 2496, 1607, 568, 513, 1455, 2243, 602, 649, 1205, 1934, 693, 519, 6300, 269, 634, 2626, 267, 19890, 267, 568, 711, 607, 2241, 607, 649, 1131, 899, 621, 547, 581, 269, 898, 2731, 5673, 593, 519, 1118, 543, 2203, 540, 519, 1286, 267, 607, 1134, 607, 519, 2783, 540, 519, 6007, 780, 2690, 1383, 267, 513, 1007, 1286, 609, 513, 2635, 6007, 1058, 581, 2111, 547, 5279, 909, 9425, 3533, 267, 1247, 606, 4587, 1286, 609, 513, 21260, 6007, 949, 1491, 3476, 269, 769, 2489, 267, 596, 1058, 2503, 547, 5279, 707, 1286, 6007, 585, 693, 2547, 476, 1789, 3764, 547, 606, 5662, 780, 8170, 1576, 267, 952, 707, 6007, 568, 4625, 4666, 267, 621, 949, 1491, 3476, 547, 5279, 909, 269, 769, 713, 2013, 267, 649, 4363, 2921, 707, 1286, 547, 513, 3318, 585, 948, 780, 1103, 2110, 267, 972, 568, 1100, 17046, 2626, 547, 713, 2243, 269, 634, 1655, 3364, 596, 666, 798, 568, 547, 5077, 707, 1286, 779, 8227, 779, 8261, 585, 1808, 5528, 593, 12123, 707, 1880, 1118, 543, 2203, 780, 29806, 6478, 692, 3086, 602, 596, 917, 875, 1082, 993, 1186, 568, 538, 513, 1286, 6007, 267, 596, 666, 581, 2386, 547, 1832, 707, 1286, 4881, 12347, 269, 2142, 2386, 547, 2638, 707, 6007, 5781, 543, 1832, 621, 9901, 865, 596, 666, 2057, 1022, 2042, 593, 519, 4155, 269, 8729, 585, 2542, 2439, 16665, 5403, 281, 0, 1012, 28731, 18289, 1923, 28731, 20653, 6290, 538, 2290, 1299, 5565, 17435, 5014, 692, 9824, 894, 5163, 3335, 4016, 547, 267, 2901, 519, 267, 3448, 2990, 540, 835, 1843, 607, 6027, 689, 519, 824, 1843, 267, 610, 267, 3448, 6991, 540, 835, 1843, 609, 2463, 547, 1776, 780, 3383, 267, 649, 786, 1376, 938, 4901, 609, 3448, 2990, 543, 596, 786, 1265, 1079, 2259, 2042, 593, 3448, 2990, 547, 948, 2087, 707, 1620, 692, 5475, 2072, 649, 786, 1865, 3448, 6991, 540, 835, 1843, 609, 2463, 547, 1776, 538, 835, 10155, 4553, 676, 3448, 6991, 538, 1079, 7516, 1141, 649, 786, 2689, 4764, 812, 1966, 267, 519, 7669, 1067, 538, 5757, 1966, 267, 543, 1788, 850, 1966, 1141, 538, 1788, 850, 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 ]
[ 272, 267, 476, 1001, 275, 1548, 616, 519, 5294, 543, 931, 540, 13387, 4255, 607, 513, 2268, 540, 2875, 270, 974, 12329, 269, 9208, 1242, 4152, 814, 1044, 835, 540, 519, 1034, 11786, 5396, 538, 2069, 2094, 922, 5137, 1282, 519, 5736, 540, 2622, 2782, 594, 543, 519, 7844, 570, 16110, 269, 634, 946, 540, 13387, 4255, 538, 1977, 3506, 814, 2799, 538, 2487, 1296, 267, 855, 930, 13915, 1745, 602, 519, 4255, 616, 2110, 577, 4474, 1053, 269, 634, 18370, 1656, 3117, 2986, 9208, 1242, 13281, 910, 21850, 29767, 5994, 6972, 883, 1153, 593, 1554, 835, 540, 519, 269, 9350, 569, 11423, 538, 519, 18616, 543, 16460, 1557, 563, 2026, 513, 4116, 267, 596, 786, 7237, 13387, 4152, 1082, 2053, 538, 707, 4876, 269, 901, 3992, 786, 5031, 930, 540, 519, 5294, 543, 931, 540, 269, 9208, 1242, 18873, 538, 4065, 281, 22436, 543, 32539, 18370, 1299, 3117, 540, 9208, 1242, 13281, 269, 9208, 1242, 18873, 538, 4065, 281, 22436, 269, 901, 1863, 4065, 1557, 593, 4828, 281, 9208, 1242, 4152, 568, 3501, 585, 4065, 1053, 547, 946, 607, 606, 1383, 269, 9208, 1242, 4152, 568, 1031, 547, 6218, 1312, 2875, 543, 4116, 2773, 269, 9208, 1242, 4152, 814, 1082, 5294, 543, 931, 602, 616, 3810, 23503, 269, 9208, 1242, 4255, 2356, 1331, 1603, 513, 2947, 5037, 1557, 267, 799, 5161, 540, 606, 2606, 5037, 267, 1614, 1489, 9433, 543, 513, 25759, 269, 26023, 267, 13387, 4152, 568, 513, 1259, 547, 3313, 519, 4081, 9740, 543, 1761, 540, 1053, 269, 1809, 950, 519, 1983, 540, 1977, 1053, 269, 21261, 894, 4828, 2201, 9208, 1242, 13281, 269, 9208, 1242, 13281, 281, 6153, 610, 14068, 286, 1403, 2576, 729, 547, 2307, 596, 968, 6011, 798, 596, 5581, 2875, 9740, 9495, 1018, 1131, 563, 3682, 338, 543, 931, 540, 11786, 2152, 269, 3367, 605, 543, 598, 7440, 585, 543, 1996, 3584, 971, 607, 2564, 17089, 267, 552, 30984, 267, 14382, 3191, 267, 7784, 1852, 267, 543, 811, 269, 21624, 1557, 3732, 827, 5383, 543, 7687, 540, 13387, 4255, 269, 14066, 1297, 540, 6268, 4574, 1806, 585, 1863, 269, 9208, 1242, 13281, 4828, 9208, 1242, 4152, 568, 1031, 547, 6218, 1312, 2875, 543, 4116, 2773, 269, 9208, 1242, 4152, 814, 1082, 5294, 543, 931, 602, 616, 269, 9208, 1242, 13281, 3594, 27819, 1169, 1164, 1153, 2875, 267, 2436, 621, 581, 741, 21738, 610, 9972, 1032, 267, 786, 1491, 2901, 519, 20389, 610, 20554, 269, 1452, 4255, 616, 2838, 585, 269, 9208, 1242, 13281, 476, 272, 1703, 814, 1044, 513, 2178, 3350, 538, 2487, 1296, 547, 946, 6437, 4441, 607, 513, 4493, 585, 12570, 2875, 2773, 538, 519, 2136, 269, 3371, 781, 4208, 1284, 5213, 1405, 10261, 9208, 1242, 18873, 2443, 297, 9461, 12157, 2023, 585, 4065, 10432, 1256, 952, 13387, 4152, 941, 606, 3608, 25162, 540, 269, 0, 298, 1803, 623, 269, 744, 685, 289, 31151, 454, 1103, 7156, 540, 1169, 2361, 538, 2069, 594, 3494, 602, 972, 568, 9039, 811, 26374, 982, 602, 540, 513, 1514, 2090, 1362, 693, 606, 15730, 1377, 269, 24641, 824, 10459, 666, 849, 4161, 1053, 547, 1589, 9691, 543, 538, 1007, 267, 3860, 2081, 267, 513, 1514, 2090, 1576, 814, 519, 2189, 4316, 547, 4001, 1543, 538, 513, 1259, 21739, 1898, 547, 519, 11144, 540, 2486, 269, 1403, 519, 1985, 5108, 568, 547, 27481, 7862, 607, 519, 3044, 585, 1480, 2924, 543, 9111, 607, 922, 9757, 1106, 540, 2229, 267, 1287, 621, 568, 9797, 2565, 602, 621, 16137, 547, 798, 865, 711, 998, 1283, 16365, 15114, 6771, 267, 855, 998, 513, 1447, 11461, 543, 1930, 16490, 1935, 538, 14436, 14374, 269, 594, 1294, 513, 2312, 4276, 1063, 14436, 14374, 543, 3140, 3206, 282, 1312, 2154, 16042, 1007, 1702, 609, 606, 1930, 2247, 267, 519, 2702, 547, 1711, 606, 1367, 610, 18756, 1620, 267, 543, 950, 538, 513, 9111, 547, 2671, 713, 9241, 9715, 1702, 547, 2417, 12954, 519, 8186, 540, 1866, 269, 898, 568, 10502, 998, 513, 1514, 2090, 2069, 602, 267, 2016, 2502, 6044, 267, 1164, 6788, 585, 782, 267, 543, 4948, 8086, 267, 1053, 786, 1451, 875, 547, 1628, 2390, 741, 1702, 538, 741, 1378, 2081, 269, 901, 2648, 585, 1565, 666, 2063, 513, 10715, 267, 855, 1018, 568, 5963, 11108, 568, 875, 11014, 1279, 606, 1930, 4687, 540, 1702, 666, 32694, 538, 513, 1863, 2486, 563, 763, 10747, 1769, 15941, 4090, 540, 1250, 1272, 3357, 547, 803, 1282, 1250, 21738, 1032, 540, 1164, 1153, 538, 1250, 1977, 1686, 1362, 269, 3733, 3003, 1153, 1272, 3056, 909, 547, 602, 1576, 594, 729, 519, 4819, 945, 6170, 811, 942, 9117, 856, 607, 513, 1362, 804, 1144, 982, 2479, 4974, 585, 4255, 269, 594, 2141, 1336, 1686, 547, 581, 4277, 267, 855, 538, 8086, 621, 4667, 607, 1498, 594, 1016, 4621, 19290, 17808, 856, 540, 1250, 2247, 519, 10206, 602, 621, 729, 2009, 547, 585, 803, 547, 2965, 2972, 1153, 269, 594, 3494, 713, 3947, 803, 513, 2189, 5133, 607, 594, 4283, 519, 3450, 3924, 267, 2094, 594, 917, 4010, 1018, 568, 2469, 998, 519, 8186, 540, 771, 1263, 3042, 1053, 543, 875, 789, 666, 7753, 713, 1565, 3625, 269, 1280, 803, 621, 729, 519, 24659, 1032, 538, 1250, 1272, 602, 1250, 1977, 1686, 4116, 267, 6004, 269, 667, 1195, 548, 267, 13934, 1250, 32618, 3661, 602, 594, 729, 968, 1729, 334, 3579, 585, 1153, 1848, 634, 5168, 729, 267, 1175, 607, 1169, 2875, 1281, 693, 2295, 267, 594, 6068, 1565, 563, 16031, 269, 667, 1195, 548, 729, 711, 513, 3501, 4116, 855, 646, 13401, 513, 2282, 12656, 2739, 6044, 547, 1250, 1565, 2511, 269, 3571, 15872, 941, 693, 513, 3432, 532, 10605, 543, 2141, 6854, 803, 593, 519, 6316, 540, 1250, 10160, 1282, 1362, 269, 4014, 646, 10355, 9867, 909, 1010, 3992, 4566, 267, 1010, 4948, 1648, 543, 6612, 26871, 828, 730, 609, 803, 543, 6854, 1250, 1719, 2362, 982, 621, 2479, 729, 538, 1153, 1354, 269, 1261, 4371, 721, 782, 547, 1164, 4441, 267, 543, 20402, 875, 649, 12926, 6743, 693, 1686, 269, 6004, 269, 667, 1195, 548, 729, 2111, 547, 6961, 547, 803, 602, 519, 11601, 540, 1702, 267, 543, 3140, 2219, 543, 1983, 4481, 267, 729, 1945, 5963, 26656, 547, 1022, 1480, 1373, 269, 3689, 543, 19466, 594, 1265, 621, 3407, 547, 5581, 1702, 607, 16135, 3661, 630, 295, 2863, 1299, 5450, 322, 2788, 267, 476, 3422, 279, 1040, 9701, 513, 1514, 2090, 4116, 3274, 20794, 968, 30440, 892, 10924, 547, 581, 585, 1978, 1510, 2875, 14374, 267, 602, 4116, 1131, 581, 3257, 606, 21440, 547, 519, 1362, 269, 634, 4116, 568, 711, 606, 782, 268, 3104, 532, 2707, 267, 543, 1058, 581, 24565, 585, 17258, 1175, 899, 1022, 824, 2707, 269, 898, 568, 849, 540, 3152, 946, 547, 723, 1053, 1491, 1852, 538, 741, 1565, 267, 585, 950, 1702, 568, 6383, 676, 1053, 3079, 540, 1373, 19942, 547, 873, 676, 741, 4116, 621, 666, 3180, 513, 3152, 2495, 676, 6679, 909, 1007, 11444, 585, 10763, 3206, 269, 898, 568, 11613, 4502, 1652, 547, 723, 1053, 27655, 602, 18332, 19090, 30774, 547, 27425, 538, 476, 14983, 273, 267, 855, 621, 568, 782, 519, 811, 3532, 547, 723, 1142, 2875, 1711, 606, 4661, 540, 741, 1378, 585, 875, 30544, 543, 1772, 629, 7578, 540, 8050, 3357, 547, 26595, 513, 2197, 543, 1628, 606, 954, 11666, 1581, 10504, 269, 4317, 2090, 13460, 666, 1256, 1491, 1565, 513, 1900, 2417, 676, 1210, 3140, 4798, 607, 513, 7828, 585, 519, 1459, 269, 968, 13420, 640, 27380, 5932, 606, 1862, 0, 1692, 666, 649, 948, 888, 2791, 666, 849, 1265, 811, 2200, 538, 938, 454, 15675, 513, 7121, 454, 306, 15036, 568, 14845, 454, 306, 15036, 568, 7745, 454, 296, 723, 513, 19583, 454, 1432, 568, 707, 4757, 888, 1432, 568, 476, 272, 1341, 476, 274, 888, 28694, 14742, 543, 6810, 454, 257, 6635, 992, 2668, 26432, 7077, 602, 17337, 519, 1560, 883, 2451, 543, 1318, 2694, 563, 8469, 1014, 7077, 610, 544, 1749, 698, 527, 2145, 7077, 454, 306, 698, 527, 2145, 7077, 602, 6013, 4010, 538, 519, 4571, 1467, 563, 303, 4673, 6889, 333, 792, 2668, 7102, 824, 29345, 527, 2145, 7077, 15558, 689, 519, 4571, 1467, 563, 309, 1068, 673, 7077, 602, 17337, 519, 1560, 883, 18751, 543, 17911, 2694, 269, 4746, 267, 1351, 4689, 7077, 563, 9558, 2091, 7077, 610, 8880, 7077, 454, 5522, 2033, 602, 8255, 23276, 689, 1318, 547, 2451, 12270, 1560, 883, 9120, 543, 17071, 2694, 269, 4746, 267, 3444, 3296, 563, 29493, 1500, 25241, 958, 1063, 8880, 543, 7299, 14742, 0, 1607, 2962, 1522, 711, 581, 2009, 547, 3768, 334, 269, 3657, 596, 2386, 596, 1616, 547, 3136, 888, 763, 5769, 568, 513, 4015, 540, 2780, 5121, 1472, 519, 1158, 602, 616, 4448, 676, 15146, 3515, 267, 15408, 267, 6775, 23726, 543, 1071, 32681, 15791, 267, 543, 12616, 4296, 269, 1358, 5968, 609, 1142, 824, 1210, 4950, 10873, 269, 634, 5769, 1568, 513, 2603, 899, 513, 2022, 531, 1062, 267, 4849, 621, 568, 1454, 5488, 269, 634, 5769, 568, 513, 1360, 6422, 2497, 267, 950, 513, 1268, 20743, 593, 547, 519, 5769, 789, 616, 2016, 1569, 547, 1082, 5904, 1472, 519, 1158, 602, 616, 4448, 269, 2060, 519, 948, 540, 519, 4950, 267, 972, 568, 513, 2898, 1007, 5823, 585, 9467, 540, 2472, 543, 2533, 543, 513, 5691, 2344, 568, 2813, 282, 3976, 8506, 4031, 547, 581, 14931, 269, 1548, 616, 15536, 4031, 270, 5769, 4031, 286, 15536, 4031, 9414, 519, 3656, 2152, 1644, 547, 946, 540, 519, 4950, 607, 513, 1907, 585, 2792, 269, 898, 568, 513, 15768, 2361, 540, 1876, 950, 3379, 547, 3959, 610, 4579, 1876, 267, 607, 621, 568, 606, 1858, 602, 6227, 1082, 3344, 540, 1876, 543, 7939, 899, 7834, 267, 7214, 3959, 267, 16278, 543, 5191, 540, 4082, 269, 5808, 21560, 519, 5769, 538, 32329, 286, 5769, 7939, 538, 519, 32329, 568, 18170, 676, 519, 17791, 20664, 27943, 16958, 630, 307, 6938, 1040, 898, 814, 1044, 3964, 2687, 547, 519, 32329, 8549, 4521, 676, 5463, 872, 3143, 269, 476, 274, 540, 476, 1220, 274, 1107, 17791, 1260, 4521, 269, 634, 570, 6938, 814, 3803, 1242, 519, 24416, 540, 18264, 529, 531, 520, 543, 13660, 607, 519, 1079, 7658, 23890, 12427, 538, 519, 32329, 269, 570, 6938, 729, 11221, 585, 513, 10160, 538, 519, 4139, 17791, 23890, 5742, 630, 3951, 308, 264, 7027, 540, 519, 2136, 8315, 269, 570, 6938, 26195, 2888, 547, 1711, 606, 6099, 7175, 1604, 538, 799, 519, 32329, 779, 23559, 5823, 786, 10836, 607, 513, 6205, 538, 519, 2518, 2344, 1747, 267, 609, 513, 5692, 547, 1489, 606, 5512, 519, 23559, 5823, 538, 519, 32329, 676, 2922, 1368, 8973, 6735, 267, 3246, 4023, 1569, 547, 519, 6469, 5989, 267, 547, 3986, 519, 2298, 540, 2533, 6035, 267, 547, 6318, 1857, 4656, 267, 547, 2149, 519, 6800, 1719, 267, 543, 547, 7520, 519, 2208, 540, 552, 19645, 269, 1358, 4126, 547, 12492, 891, 19647, 998, 519, 19015, 540, 5092, 267, 5647, 267, 1646, 543, 2069, 267, 676, 19788, 543, 20808, 513, 3810, 9952, 543, 12592, 13781, 267, 543, 676, 30176, 741, 1514, 543, 2825, 9021, 269, 570, 6938, 11099, 538, 11413, 267, 14619, 267, 17258, 267, 5823, 7589, 267, 900, 597, 26494, 267, 5876, 267, 543, 4656, 269, 1547, 5808, 21560, 519, 5769, 538, 5245, 286, 769, 5245, 519, 4950, 568, 14931, 676, 519, 8241, 18058, 543, 9012, 16958, 630, 3722, 7246, 1040, 763, 8241, 18058, 543, 9012, 16958, 630, 3722, 7246, 264, 568, 3743, 585, 519, 7939, 540, 31076, 267, 519, 4950, 267, 585, 5464, 2228, 1543, 267, 1519, 4950, 543, 5985, 6049, 1543, 267, 5925, 10618, 543, 26313, 267, 543, 30191, 5245, 779, 4550, 17898, 600, 1876, 269, 8028, 7246, 568, 3743, 585, 5009, 1582, 30625, 543, 6735, 538, 519, 10618, 2872, 267, 1247, 7863, 6800, 543, 824, 3755, 267, 5807, 606, 1604, 538, 799, 5907, 2923, 2463, 2146, 4441, 543, 4431, 547, 5304, 543, 3593, 2115, 267, 5883, 1569, 547, 519, 5925, 325, 15968, 8552, 267, 8204, 5245, 779, 454, 20664, 4690, 18368, 269, 4706, 1909, 2882, 14236, 20286, 827, 2228, 1543, 543, 13989, 2533, 267, 8716, 519, 1646, 540, 9479, 540, 2259, 585, 519, 2228, 1543, 3028, 8502, 6080, 607, 1134, 607, 11578, 532, 267, 543, 5464, 10220, 609, 971, 9479, 267, 3246, 5796, 543, 1344, 547, 519, 2146, 827, 2228, 3106, 2152, 267, 2523, 1346, 11341, 547, 1453, 781, 946, 540, 519, 4950, 267, 23072, 1382, 883, 4950, 6165, 2152, 543, 26655, 3294, 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 ]
[ 3817, 5595, 22274, 568, 4896, 917, 875, 1082, 1913, 476, 274, 3817, 5595, 22274, 568, 4901, 538, 1412, 1035, 325, 12188, 1412, 3323, 269, 1280, 2582, 17898, 3166, 3817, 609, 513, 3044, 13944, 543, 3339, 19114, 267, 476, 272, 267, 1822, 1913, 1131, 581, 5111, 3160, 547, 476, 273, 476, 272, 270, 275, 3817, 1034, 4081, 4574, 616, 5595, 22274, 267, 1818, 476, 272, 267, 1822, 1913, 3160, 547, 2673, 547, 2185, 3817, 538, 3259, 930, 3044, 23935, 1331, 818, 658, 267, 2053, 1007, 19005, 267, 1608, 756, 686, 543, 2357, 323, 3570, 519, 269, 1215, 1082, 3817, 568, 606, 476, 5197, 271, 2262, 1557, 621, 568, 9277, 547, 581, 5595, 22274, 609, 1100, 2140, 593, 519, 1101, 2985, 543, 2450, 476, 1321, 1775, 6415, 27378, 1472, 476, 274, 3817, 630, 338, 17532, 22274, 264, 543, 865, 7654, 476, 277, 3817, 630, 29602, 22274, 269, 476, 5611, 271, 2262, 1557, 875, 1082, 3817, 5595, 22274, 267, 694, 335, 476, 1240, 267, 476, 1001, 276, 476, 272, 267, 4335, 1913, 568, 476, 274, 3817, 2582, 22274, 267, 476, 277, 3817, 5595, 22274, 513, 6614, 875, 1082, 1913, 798, 1775, 723, 547, 2322, 952, 708, 17511, 513, 476, 1691, 2985, 1557, 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 ]
[ 0, 20059, 832, 1058, 17216, 581, 17212, 1386, 269, 1325, 1301, 30518, 1185, 1044, 30366, 593, 9931, 9335, 585, 1896, 4374, 267, 543, 808, 15014, 6716, 932, 848, 729, 2907, 538, 2407, 18711, 8600, 585, 513, 1761, 5821, 540, 519, 1158, 779, 4102, 4346, 563, 3719, 519, 27185, 821, 618, 568, 1152, 10151, 269, 4495, 519, 14130, 3247, 326, 777, 2268, 568, 9516, 676, 519, 5600, 540, 24929, 267, 519, 27308, 786, 581, 2111, 547, 2628, 922, 12014, 2394, 5412, 476, 274, 6113, 269, 5549, 1211, 958, 267, 713, 568, 849, 519, 21120, 585, 19011, 1154, 513, 2229, 9505, 6658, 563, 6546, 779, 1318, 281, 519, 2136, 2276, 568, 1631, 1447, 982, 1079, 3275, 2476, 689, 513, 2009, 21800, 19479, 540, 519, 2229, 630, 15290, 4540, 15424, 1237, 10094, 585, 1857, 7836, 616, 1813, 547, 1163, 790, 264, 543, 9949, 630, 15290, 519, 7963, 18109, 11151, 519, 27308, 689, 9878, 922, 12014, 1916, 2005, 568, 556, 3438, 730, 602, 12303, 782, 24192, 543, 2344, 4966, 3858, 602, 513, 2475, 3044, 1131, 7382, 3334, 543, 798, 1390, 3441, 547, 519, 4346, 269, 1284, 616, 6158, 827, 7525, 21748, 563, 6097, 547, 28239, 344, 779, 24630, 267, 5176, 476, 277, 2929, 6009, 1131, 581, 4503, 267, 13864, 1131, 4473, 1394, 547, 5176, 476, 280, 9077, 543, 6006, 5777, 1131, 2887, 676, 513, 3791, 267, 530, 31441, 856, 827, 1269, 476, 1428, 18265, 538, 7622, 5763, 563, 4517, 585, 1018, 286, 670, 10884, 519, 7963, 18109, 814, 4986, 547, 798, 609, 1007, 9276, 610, 12029, 269, 5502, 267, 621, 2636, 519, 2229, 547, 4163, 856, 2238, 2907, 9516, 676, 6837, 563, 293, 12099, 10579, 3967, 564, 962, 749, 523, 267, 945, 1031, 547, 2212, 519, 8549, 15944, 267, 814, 930, 4555, 602, 1876, 16234, 616, 9247, 2921, 519, 772, 2529, 269, 4346, 3984, 720, 1169, 1906, 1296, 547, 6060, 930, 10464, 2797, 2798, 563, 22154, 814, 3366, 547, 513, 3126, 540, 20833, 5906, 7526, 602, 723, 19430, 4892, 543, 2518, 6990, 547, 2243, 2436, 3013, 568, 3978, 827, 9878, 922, 12014, 2223, 962, 749, 523, 5143, 23711, 779, 8210, 514, 22210, 9116, 593, 13628, 563, 17606, 779, 606, 7543, 3510, 269, 6837, 814, 547, 7521, 891, 2152, 950, 14045, 593, 7836, 543, 21259, 267, 865, 607, 711, 547, 2322, 513, 2182, 3247, 1169, 1079, 1296, 543, 2161, 267, 2048, 11039, 267, 1631, 649, 786, 711, 1577, 519, 8804, 14012, 2628, 519, 4182, 779, 12014, 10200, 2073, 9232, 312, 749, 523, 3773, 563, 3080, 1448, 24319, 3006, 1118, 568, 602, 519, 2136, 2276, 814, 2760, 8959, 269, 1809, 621, 7140, 856, 602, 713, 949, 711, 581, 7357, 3020, 563, 763, 1101, 2879, 2378, 340, 4553, 519, 2112, 538, 476, 8687, 273, 267, 950, 4108, 7836, 543, 16607, 8907, 2451, 519, 27308, 8572, 547, 1118, 1022, 1719, 11033, 593, 5313, 7963, 269, 634, 2034, 3357, 1282, 519, 4279, 12870, 267, 950, 5518, 15284, 17619, 17735, 519, 4154, 3044, 543, 1533, 5411, 4503, 563, 25748, 267, 519, 27308, 8959, 547, 1118, 12905, 11033, 547, 930, 1507, 9520, 538, 519, 5614, 540, 476, 3192, 280, 267, 950, 13128, 1239, 4393, 729, 693, 513, 5266, 18642, 3942, 267, 2687, 547, 519, 11356, 563, 3383, 875, 798, 649, 917, 602, 606, 1977, 3044, 1131, 1631, 581, 21472, 286, 634, 2110, 2626, 568, 602, 649, 798, 711, 1107, 855, 621, 568, 2731, 711, 4502, 4466, 856, 563, 2108, 8448, 2477, 602, 9949, 539, 538, 519, 476, 4350, 271, 338, 610, 538, 519, 476, 866, 628, 2540, 15151, 1185, 1100, 9434, 3441, 547, 741, 2702, 547, 10210, 2223, 519, 6837, 1308, 3194, 6796, 11943, 269, 968, 32701, 267, 519, 7986, 1909, 540, 2475, 7066, 553, 3753, 538, 2518, 543, 6469, 2883, 12417, 1797, 602, 9836, 17799, 538, 519, 27308, 666, 1631, 723, 3978, 4539, 3034, 3963, 2816, 6051, 786, 2611, 19514, 454, 293, 27518, 779, 2816, 1867, 786, 8774, 1769, 593, 2436, 4864, 779, 14922, 532, 5515, 941, 1175, 513, 1025, 760, 1107, 610, 519, 1376, 540, 606, 7938, 4372, 7678, 563, 10527, 6855, 814, 2141, 1044, 538, 519, 9920, 779, 10160, 540, 713, 6051, 2223, 715, 11253, 27672, 517, 267, 8783, 30168, 693, 5084, 303, 267, 5143, 1065, 13024, 13723, 269, 968, 763, 2012, 540, 519, 2816, 6051, 3014, 568, 1869, 2048, 2317, 1597, 685, 3034, 8310, 1032, 267, 519, 4074, 2344, 729, 17866, 267, 543, 538, 519, 21617, 3275, 267, 519, 18979, 16837, 543, 24756, 2872, 4503, 6009, 1107, 1945, 602, 1223, 4755, 1586, 713, 1032, 269, 11531, 267, 7366, 540, 5215, 540, 2021, 2451, 519, 13781, 538, 5181, 476, 1708, 271, 267, 950, 1453, 8120, 547, 5691, 13460, 543, 3237, 1185, 547, 1900, 538, 607, 3450, 20843, 563, 15371, 835, 540, 891, 9259, 7024, 3788, 547, 581, 2938, 563, 763, 5515, 281, 8859, 1235, 4280, 676, 4676, 8181, 643, 3589, 602, 3368, 513, 2929, 6009, 941, 3773, 547, 519, 4346, 2063, 3923, 269, 1133, 655, 7877, 568, 4397, 547, 8743, 1524, 547, 476, 276, 269, 272, 9077, 1175, 513, 4552, 2630, 519, 4864, 2557, 540, 476, 276, 269, 273, 18336, 6546, 1131, 581, 811, 982, 5595, 519, 14922, 532, 476, 20720, 267, 1822, 6009, 3773, 538, 4864, 267, 799, 896, 704, 11526, 6788, 676, 827, 3368, 513, 2929, 563, 307, 525, 5055, 568, 593, 922, 1259, 547, 700, 821, 10060, 3557, 454, 14881, 6557, 9599, 547, 14773, 602, 649, 616, 3001, 938, 22071, 547, 21388, 267, 7147, 2223, 16628, 4432, 517, 30073, 1767, 13628, 1282, 513, 23592, 23265, 685, 5870, 563, 763, 3167, 1286, 2754, 568, 4867, 1759, 538, 6022, 334, 1325, 1729, 267, 4993, 267, 2282, 922, 3312, 22071, 538, 5842, 24883, 267, 543, 922, 1101, 12051, 538, 6154, 23992, 563, 3719, 519, 2754, 814, 14578, 838, 541, 1042, 609, 4993, 8387, 269, 1656, 30073, 1767, 13628, 602, 972, 568, 513, 968, 3916, 527, 547, 875, 1454, 596, 666, 4336, 538, 519, 7345, 9351, 3034, 3891, 5018, 8027, 2139, 543, 519, 1279, 862, 2373, 607, 824, 2942, 2188, 269, 634, 21388, 12051, 267, 593, 519, 824, 1688, 267, 568, 2947, 3764, 689, 519, 19633, 543, 476, 1428, 3764, 689, 25708, 267, 646, 1767, 563, 15404, 330, 1256, 1767, 538, 5412, 602, 646, 729, 3001, 547, 7147, 267, 543, 835, 540, 1010, 824, 3549, 267, 6611, 311, 267, 568, 3384, 513, 7372, 15177, 1062, 1634, 607, 519, 968, 1805, 1513, 1222, 892, 540, 3162, 7147, 563, 8601, 519, 882, 6327, 540, 22071, 267, 30073, 1767, 23592, 4566, 547, 3136, 547, 968, 10339, 663, 892, 3648, 538, 4993, 563, 17606, 779, 711, 513, 2243, 540, 23592, 6028, 4993, 2223, 646, 1767, 269, 634, 2754, 5497, 547, 2333, 2504, 689, 922, 6154, 23992, 2030, 676, 476, 2004, 18336, 763, 2475, 2816, 1867, 585, 5181, 786, 581, 3370, 693, 476, 279, 281, 1789, 21180, 563, 9827, 2221, 281, 519, 31232, 1223, 14773, 513, 2518, 18294, 3454, 4308, 454, 290, 4040, 1985, 3018, 281, 7767, 832, 786, 1413, 585, 519, 5767, 10637, 5515, 689, 519, 2475, 269, 0, 14399, 9678, 689, 1480, 1416, 543, 1995, 1164, 18262, 540, 8194, 1981, 7092, 554, 2086, 1229, 1646, 540, 519, 2634, 267, 4761, 543, 17441, 1062, 269, 634, 7368, 4598, 547, 8194, 5532, 547, 29880, 15970, 267, 10714, 267, 543, 10072, 689, 1480, 1416, 814, 15889, 2360, 593, 519, 2634, 1646, 630, 295, 1551, 529, 267, 476, 1001, 275, 1040, 5753, 29270, 15265, 911, 15436, 1944, 13685, 723, 2799, 519, 1981, 540, 2295, 3676, 267, 5761, 2860, 267, 543, 4389, 1272, 19104, 269, 634, 14223, 7044, 9414, 519, 1164, 1981, 540, 17379, 1072, 6364, 585, 1453, 7680, 4049, 2157, 540, 14488, 563, 763, 2014, 540, 3007, 17211, 30759, 4524, 538, 1453, 1373, 741, 2038, 4598, 547, 14488, 735, 1564, 513, 23499, 7029, 6905, 3564, 519, 17594, 540, 6093, 3782, 13103, 269, 20831, 630, 1001, 275, 264, 10305, 8801, 6689, 2833, 547, 6469, 5208, 267, 543, 3237, 10010, 609, 2790, 1072, 543, 6219, 6057, 7258, 10714, 269, 1717, 267, 519, 1981, 15054, 676, 4598, 547, 8801, 6689, 2833, 568, 15763, 1419, 676, 1072, 9439, 20218, 547, 3044, 2866, 538, 1514, 543, 2790, 1072, 2533, 269, 20831, 630, 1001, 275, 264, 8711, 519, 8801, 6689, 2833, 616, 513, 7928, 4598, 547, 519, 2551, 602, 11498, 513, 9570, 268, 24978, 2078, 609, 519, 1072, 6364, 269, 634, 1353, 14360, 17379, 1072, 6364, 7258, 2799, 10171, 540, 4965, 543, 647, 545, 573, 1275, 547, 1164, 8464, 593, 8801, 6689, 2833, 563, 10468, 9951, 673, 7778, 14487, 4598, 4389, 1272, 19104, 543, 1164, 16151, 3676, 547, 519, 8801, 6689, 2833, 269, 17616, 267, 14488, 12042, 619, 519, 1646, 540, 519, 6046, 2235, 3518, 766, 3976, 7133, 519, 1852, 4099, 585, 12257, 543, 12587, 538, 519, 2634, 630, 306, 2181, 978, 518, 267, 476, 1001, 274, 1040, 19627, 267, 6689, 14488, 29620, 519, 1646, 540, 4776, 30613, 16794, 9833, 607, 7533, 547, 10324, 8647, 543, 20949, 1852, 538, 519, 2634, 630, 1805, 1329, 1299, 918, 754, 718, 267, 476, 1001, 275, 1040, 1280, 1383, 267, 4598, 547, 5134, 13015, 267, 5832, 532, 267, 543, 2698, 10072, 4299, 2637, 773, 25067, 781, 4776, 30613, 16794, 12042, 1359, 1200, 2702, 547, 2123, 4082, 267, 15645, 908, 5042, 2623, 543, 1514, 2623, 269, 634, 3665, 10072, 540, 2637, 773, 2451, 1200, 16794, 13417, 574, 4327, 267, 4611, 538, 21022, 10342, 538, 4633, 1646, 563, 15761, 3153, 10714, 2144, 3941, 519, 2631, 540, 10362, 5551, 676, 1453, 607, 789, 1332, 269, 6270, 20825, 14145, 633, 873, 540, 1514, 267, 2790, 543, 2168, 1646, 269, 634, 22975, 540, 3617, 1126, 3249, 543, 3079, 5134, 13015, 676, 3237, 12153, 519, 20968, 15401, 545, 30783, 29427, 7852, 547, 5305, 19076, 13824, 630, 295, 1551, 529, 267, 476, 1001, 279, 1040, 769, 4049, 14488, 4810, 676, 2637, 773, 267, 519, 19076, 13824, 3587, 32277, 28922, 1739, 7368, 2566, 11852, 269, 898, 5540, 519, 16606, 540, 519, 5027, 543, 25815, 519, 1646, 540, 519, 17441, 543, 4761, 1949, 563, 3412, 4124, 543, 8177, 593, 7216, 19974, 4065, 454, 763, 13414, 540, 554, 2086, 1229, 2168, 267, 2790, 543, 1514, 1646, 538, 1453, 7680, 14488, 735, 1564, 1210, 519, 1620, 547, 2061, 267, 5496, 543, 2232, 519, 2942, 1764, 269, 32672, 4705, 676, 25272, 19994, 10045, 2272, 540, 2713, 609, 29880, 267, 25711, 543, 27781, 676, 519, 3993, 267, 8639, 1058, 4225, 11324, 5224, 1453, 945, 8858, 3007, 17211, 30759, 4524, 538, 1153, 630, 303, 601, 10045, 267, 476, 1001, 272, 1040, 3245, 713, 2272, 267, 8639, 538, 519, 2038, 6689, 2069, 1058, 20006, 513, 23499, 1935, 547, 2061, 543, 12115, 519, 1198, 540, 14488, 2833, 269, 634, 8639, 1058, 3479, 547, 2834, 9584, 585, 8801, 2833, 543, 1747, 1453, 609, 2318, 2589, 540, 14488, 896, 519, 23499, 2126, 1544, 630, 295, 1551, 529, 267, 476, 1001, 279, 1040, 6145, 519, 6536, 15366, 1416, 6035, 547, 25272, 19994, 10045, 267, 2038, 6689, 7855, 1058, 2932, 1753, 11564, 543, 7649, 609, 3782, 9439, 585, 11455, 7459, 593, 6484, 543, 2790, 2533, 563, 18770, 665, 2329, 7827, 547, 8081, 5753, 543, 19198, 538, 23247, 454, 763, 1702, 540, 1981, 15054, 676, 4049, 14488, 2833, 538, 6689, 735, 1564, 27510, 513, 3350, 602, 1534, 919, 519, 2486, 827, 519, 1764, 540, 6757, 2566, 2157, 2147, 547, 7303, 5122, 19093, 543, 15464, 269, 634, 3510, 735, 1564, 513, 5198, 547, 519, 23499, 1935, 547, 2709, 3358, 1416, 543, 10728, 2126, 547, 4831, 519, 4598, 2360, 630, 295, 1551, 529, 267, 476, 1001, 279, 1040, 14755, 267, 519, 3510, 31433, 4656, 540, 8801, 6689, 2833, 1373, 513, 1455, 1857, 1072, 4161, 538, 2221, 781, 2486, 269, 898, 3340, 519, 7029, 547, 12167, 585, 513, 23499, 11036, 547, 2709, 11455, 7459, 547, 8207, 519, 4598, 547, 6757, 6689, 8194, 563, 17730, 4656, 6035, 676, 519, 10555, 540, 519, 8187, 4670, 593, 2637, 773, 25067, 267, 8761, 8801, 2833, 607, 513, 3138, 4040, 1857, 1072, 6433, 269, 634, 2702, 540, 6757, 6689, 2833, 8423, 27128, 2790, 267, 1514, 543, 2168, 1646, 735, 1564, 27510, 606, 14223, 3350, 585, 11455, 7459, 3358, 547, 4831, 519, 8194, 1198, 269, 634, 8801, 6689, 2833, 568, 513, 10715, 4161, 7133, 519, 3003, 2551, 7488, 540, 519, 1514, 4567, 543, 5198, 269, 1717, 267, 621, 568, 1521, 762, 998, 10100, 267, 7029, 267, 543, 10343, 607, 513, 3138, 4040, 1857, 1072, 6433, 998, 20291, 1416, 563, 295, 1551, 529, 267, 715, 269, 645, 269, 630, 1001, 275, 1040, 1215, 6689, 8194, 5540, 1072, 2066, 513, 10715, 269, 8158, 5181, 476, 2190 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 781, 4457, 9142, 540, 3163, 543, 2098, 597, 340, 334, 15173, 689, 519, 23958, 3427, 540, 3163, 543, 7177, 693, 3567, 781, 26232, 698, 1092, 2160, 563, 16987, 14939, 543, 7811, 2164, 6542, 602, 519, 19349, 1198, 729, 25189, 689, 2199, 2282, 1922, 1752, 19349, 540, 519, 4154, 20543, 269, 634, 2164, 1397, 602, 519, 9842, 3000, 545, 1198, 814, 1390, 1761, 585, 519, 2104, 1646, 540, 12249, 3859, 2281, 269, 634, 2319, 781, 6069, 954, 331, 9707, 3889, 607, 606, 1930, 3760, 666, 581, 4294, 547, 1585, 12249, 2326, 267, 6679, 909, 3255, 585, 3810, 3608, 267, 3818, 3613, 17977, 512, 30802, 3859, 2281, 563, 763, 1382, 729, 20019, 6462, 676, 14828, 689, 519, 772, 2529, 269, 8433, 540, 25220, 3194, 543, 519, 2817, 3163, 7690, 563, 763, 2319, 849, 3769, 9947, 18708, 267, 808, 532, 6798, 1411, 267, 932, 684, 16644, 7776, 16441, 267, 543, 654, 534, 16644, 532, 670, 24175, 540, 519, 17459, 6369, 4972, 540, 10049, 3163, 543, 7177, 543, 519, 4993, 30594, 21902, 338, 4659, 563, 312, 836, 729, 5063, 3957, 519, 23649, 540, 519, 8349, 543, 18039, 661, 269, 570, 2335, 553, 12789, 269, 7736, 15735, 17348, 538, 7177, 269, 901, 11381, 568, 519, 1101, 538, 519, 1158, 6131, 547, 519, 1858, 540, 5907, 1344, 10525, 563, 763, 4993, 30594, 21902, 338, 4659, 693, 17459, 6369, 568, 606, 7471, 1382, 9744, 4092, 693, 17459, 6369, 543, 17459, 13244, 22526, 269, 4706, 5692, 568, 547, 6536, 15834, 21769, 538, 23282, 7220, 543, 29113, 282, 547, 5721, 513, 1007, 5108, 540, 3744, 267, 7855, 543, 2029, 3401, 282, 547, 5352, 12352, 609, 2872, 282, 543, 547, 3565, 547, 519, 2804, 1646, 543, 519, 1514, 1134, 5630, 540, 4993, 267, 519, 2136, 2276, 543, 519, 1158, 269, 634, 595, 10064, 296, 729, 3964, 538, 476, 1220, 271, 609, 1269, 1911, 2929, 689, 519, 1533, 540, 4993, 269, 1323, 3606, 1269, 25616, 2929, 540, 1489, 814, 2097, 689, 5313, 1382, 14828, 543, 2872, 7616, 269, 595, 10064, 296, 2818, 616, 6537, 689, 17459, 6369, 781, 5441, 540, 16707, 543, 3163, 267, 519, 6424, 2983, 742, 523, 3427, 540, 6925, 267, 519, 3427, 540, 19239, 3588, 267, 519, 3427, 540, 5398, 2657, 543, 519, 8361, 15656, 328, 3427, 540, 7177, 543, 11930, 3163, 269, 1358, 616, 7722, 538, 7893, 267, 22212, 543, 22392, 8444, 543, 6675, 2443, 519, 2679, 7161, 540, 938, 1158, 269, 4256, 960, 568, 5645, 856, 538, 606, 7471, 8047, 1604, 269, 901, 6422, 1382, 4259, 814, 8476, 1620, 540, 9259, 693, 519, 23282, 7051, 543, 14767, 547, 3132, 1271, 8906, 538, 1072, 267, 1648, 267, 519, 1604, 543, 1344, 2029, 563, 2690, 811, 3377, 267, 3643, 17459, 6369, 5240, 3336, 543, 17459, 6369, 5240, 347, 25582, 543, 1246, 721, 593, 12108, 563, 297, 3317, 11717, 29849, 1923, 31823, 2336, 300, 12817, 6467, 30397, 8407, 538, 519, 1604, 454, 1428, 269, 5400, 269, 1001, 279, 1923, 10713, 527, 2946, 632, 2637, 11726, 557, 454, 17954, 752, 10843, 538, 6289, 648, 14142, 910, 17747, 11800, 538, 22130, 6289, 528, 756, 19490, 454, 6021, 269, 5400, 269, 1001, 279, 1923, 5927, 320, 910, 661, 573, 2102, 7238, 1087, 27528, 7698, 1440, 6686, 325, 31258, 268, 3768, 674, 832, 577, 31258, 534, 560, 5306, 454, 14722, 693, 519, 2160, 540, 4993, 267, 11968, 13353, 1459, 1007, 1382, 593, 513, 8049, 17184, 7613, 1634, 607, 834, 3369, 626, 6840, 257, 4534, 1360, 1970, 4908, 21168, 2483, 14722, 1020, 1101, 1907, 547, 946, 3684, 1565, 2409, 547, 12337, 2095, 1472, 2170, 1947, 1374, 762, 476, 274, 291, 3615, 269, 15484, 786, 581, 4843, 693, 713, 1032, 779, 20380, 590, 5456, 16165, 4338, 295, 10554, 563, 2691, 8030, 610, 9858, 1616, 547, 1449, 519, 7098, 17871, 3601, 540, 519, 9241, 2966, 3337, 540, 513, 1286, 267, 20987, 267, 610, 824, 1843, 267, 789, 1131, 7363, 2203, 2483, 12867, 689, 570, 308, 3400, 345, 543, 741, 2872, 4891, 723, 30792, 513, 1158, 1101, 281, 519, 18634, 540, 513, 8773, 22306, 267, 1164, 18286, 5916, 12123, 1062, 630, 290, 5425, 264, 585, 3167, 6472, 602, 6087, 3126, 12123, 540, 6517, 538, 1585, 18736, 7158, 563, 17471, 3747, 585, 3167, 6472, 568, 9472, 547, 4473, 25921, 281, 676, 476, 1708, 276, 267, 519, 1297, 540, 1007, 6174, 7373, 5928, 568, 4397, 547, 3914, 476, 1839, 2929, 829, 1032, 19601, 3682, 974, 1231, 1590, 581, 25649, 7157, 547, 11886, 741, 7636, 3252, 538, 2281, 269, 17449, 20843, 1572, 669, 1653, 2158, 948, 5946, 17908, 741, 538, 321, 16742, 24208, 1761, 543, 3914, 519, 2953, 1614, 8820, 2497, 269, 12824, 693, 519, 7665, 23851, 4659, 540, 4437, 17190, 630, 6573, 29368, 264, 723, 7152, 602, 957, 514, 267, 519, 1034, 10731, 3940, 538, 2362, 2919, 2281, 267, 1281, 711, 723, 519, 538, 321, 16742, 1761, 547, 16784, 543, 3079, 3340, 2027, 6351, 547, 16784, 883, 922, 3742, 1533, 269, 634, 669, 1653, 821, 13138, 328, 290, 3096, 513, 5892, 19888, 8282, 7271, 547, 1685, 957, 514, 24208, 269, 634, 1353, 729, 5063, 3370, 538, 519, 4760, 8426, 563, 8002, 514, 568, 519, 1034, 10731, 3940, 538, 3810, 2919, 2281, 543, 814, 3309, 3252, 538, 3157, 899, 1591, 32278, 267, 1591, 6498, 543, 4887, 2483, 14722, 723, 4362, 602, 519, 5122, 4187, 540, 513, 7601, 268, 6448, 7623, 5673, 593, 519, 6419, 2361, 538, 513, 1360, 8966, 1259, 4534, 513, 4466, 602, 1223, 948, 1463, 519, 3406, 585, 2326, 602, 666, 9985, 2932, 5201, 693, 4055, 2191, 4405, 454, 1432, 4523, 950, 2731, 3532, 22197, 734, 5115, 762, 540, 6721, 6419, 4610, 5176, 1079, 2929, 2053, 6793, 982, 3047, 781, 734, 732, 4294, 547, 2326, 602, 2483, 5400, 269, 5400, 269, 1001, 279, 1923, 7926, 5240, 454, 2767, 269, 5881, 269, 1001, 279, 1923, 7926, 5240, 454, 1839, 269, 5881, 269, 1001, 279, 1923, 7926, 5240, 454, 1428, 269, 5400, 269, 1001, 279, 1923, 8212, 543, 18395, 454, 1428, 269, 5400, 269, 1001, 279, 1923, 3047, 7070, 454, 1428, 269, 5400, 269, 1001, 279, 1923, 8212, 543, 18395, 0, 1607, 1433, 28542, 856, 538, 2241, 2474, 1946, 1004, 949, 1745, 12219, 676, 7292, 3604, 267, 1018, 621, 7959, 899, 547, 581, 13032, 1221, 1317, 707, 2960, 568, 513, 1114, 7990, 543, 1946, 621, 9292, 1206, 3025, 547, 9794, 1004, 676, 741, 2960, 610, 2528, 269, 898, 786, 5000, 2318, 10343, 543, 1930, 612, 827, 3604, 543, 2303, 2081, 585, 1453, 547, 8661, 741, 1378, 2686, 6561, 1510, 1517, 8636, 1782, 2576, 3116, 781, 269, 2060, 4190, 11247, 676, 15776, 2917, 670, 1046, 518, 563, 21812, 281, 670, 659, 2867, 974, 5753, 781, 6828, 454, 26574, 281, 476, 15793, 575, 454, 291, 574, 5014, 281, 476, 26839, 1535, 476, 14225, 1535, 476, 276, 6515, 454, 2791, 949, 849, 581, 5461, 538, 2483, 8923, 1129, 538, 547, 2328, 513, 2689, 454, 14188, 596, 585, 707, 30063, 454, 7312, 1931, 568, 1631, 1373, 9268, 543, 649, 723, 2366, 513, 21533, 4757, 547, 596, 693, 454, 2691, 786, 1250, 1931, 581, 4712, 547, 2445, 888, 24445, 721, 593, 610, 6494, 721, 606, 4757, 693, 454, 19013, 972, 814, 1044, 513, 1966, 609, 707, 1931, 454, 8923, 2119, 1586, 610, 4244, 569, 596, 666, 3346, 707, 6074, 6300, 593, 610, 6494, 721, 606, 4757, 693, 0, 289, 13700, 12028, 15535, 918, 549, 1695, 6953, 691, 2006, 814, 513, 1360, 1434, 5850, 827, 1603, 543, 26446, 513, 15429, 547, 519, 12380, 17830, 269, 2422, 290, 1162, 2443, 31204, 585, 875, 547, 798, 8631, 609, 536, 13700, 12028, 269, 476, 1001, 272, 268, 1015, 12327, 307, 274, 5288, 12327, 307, 275, 5288, 2473, 12396, 5288, 645, 15045, 12396, 910, 6119, 2448, 338, 6476, 593, 12380, 17830, 476, 274, 269, 271, 269, 271, 563, 16240, 513, 11711, 3590, 538, 12380, 918, 14533, 910, 769, 713, 3126, 540, 4930, 594, 4766, 875, 596, 666, 2328, 513, 12380, 17830, 9074, 585, 606, 11251, 12380, 3926, 269, 9232, 4452, 762, 17830, 9074, 630, 299, 298, 300, 264, 543, 960, 2509, 3384, 513, 9074, 602, 666, 1852, 13382, 296, 11675, 593, 606, 11251, 12380, 3926, 630, 7945, 607, 519, 2142, 14410, 24942, 264, 998, 519, 946, 540, 16843, 17988, 269, 5675, 513, 11711, 3590, 538, 12380, 918, 14533, 18838, 269, 3334, 2556, 585, 1646, 3330, 519, 12380, 17830, 267, 1287, 649, 3580, 2328, 519, 14724, 4452, 762, 563, 1692, 547, 2328, 513, 12380, 17830, 585, 606, 6186, 634, 12380, 18292, 1016, 17882, 814, 6738, 689, 5885, 1152, 1079, 1114, 2010, 540, 3457, 538, 519, 476, 273, 269, 273, 269, 278, 17830, 630, 332, 823, 543, 1883, 15236, 1070, 547, 936, 476, 736, 1114, 2010, 540, 3457, 538, 519, 476, 273, 269, 275, 17830, 269, 594, 1589, 596, 1131, 1616, 547, 2608, 4818, 850, 265, 513, 17830, 585, 8121, 300, 269, 4595, 1603, 513, 17830, 3054, 1131, 1118, 596, 1439, 909, 609, 1945, 3116, 982, 12380, 269, 31418, 5006, 454, 294, 527, 29878, 910, 8731, 1998, 1091, 270, 4802, 5060, 12380, 17830, 2707, 3529, 7991, 1627, 26031, 634, 12380, 17830, 568, 519, 2295, 540, 1022, 12380, 1062, 269, 8585, 613, 575, 527, 2260, 326, 527, 21993, 14533, 3820, 9706, 889, 270, 2675, 332, 270, 4802, 5060, 31574, 14533, 17320, 527, 28918, 3367, 873, 5402, 267, 607, 789, 2995, 596, 1018, 713, 568, 782, 827, 267, 2491, 875, 547, 3888, 519, 17830, 563, 20360, 3298, 291, 783, 289, 2393, 910, 7991, 6435, 634, 556, 13419, 3293, 7956, 6119, 949, 2270, 1463, 1161, 547, 1331, 11295, 12319, 8292, 267, 610, 17830, 1673, 665, 8292, 267, 689, 2707, 6119, 269, 8564, 834, 19226, 880, 15652, 532, 543, 2328, 2242, 547, 12210, 2668, 1215, 268, 2414, 32680, 5174, 2393, 29974, 31583, 476, 277, 269, 6187, 667, 1952, 518, 12380, 30325, 9008, 13966, 17121, 8837, 2473, 303, 454, 290, 910, 12380, 918, 14533, 2328, 543, 1224, 15394, 891, 616, 1031, 547, 4766, 519, 3252, 543, 2010, 543, 964, 333, 540, 519, 3009, 269, 28982, 594, 991, 930, 948, 609, 1250, 3009, 585, 1153, 269, 634, 1224, 1599, 1058, 2760, 2132, 476, 271, 865, 11819, 5143, 721, 547, 946, 7227, 21223, 1203, 318, 5793, 4533, 1043, 269, 3733, 1966, 568, 950, 594, 1616, 563, 16240, 513, 11822, 18292, 30905, 12380, 4750, 1403, 596, 616, 10478, 585, 513, 1434, 12380, 9920, 5850, 267, 713, 2376, 786, 1683, 519, 2556, 1344, 827, 875, 547, 2328, 513, 3926, 9920, 585, 713, 13013, 269, 2311, 922, 3490, 267, 513, 9074, 4564, 513, 1179, 604, 12011, 964, 2740, 1843, 3758, 269, 594, 729, 2965, 3843, 547, 2328, 513, 17830, 9920, 585, 721, 321, 543, 729, 269, 1250, 1101, 1966, 568, 1775, 1810, 1405, 917, 875, 547, 2328, 513, 5691, 3926, 2196, 593, 1312, 12380, 543, 563, 31690, 5060, 918, 14533, 3525, 2737, 910, 8055, 5441, 2060, 519, 12380, 7746, 2344, 26405, 547, 3914, 5479, 9489, 538, 1614, 1296, 543, 519, 16411, 540, 519, 11251, 2344, 267, 1134, 2389, 11712, 12380, 9367, 543, 12380, 1062, 16984, 616, 538, 554, 327, 3747, 269, 1215, 547, 2328, 513, 17830, 9074, 585, 12380, 269, 7982, 547, 1292, 2985, 269, 661, 2006, 826, 548, 16816, 1512, 328, 1496, 16942, 6870, 316, 4515, 269, 22956, 1215, 324, 1496, 16942, 6870, 316, 8055, 5441, 2676, 25284, 2719, 6651, 595, 308, 6395, 15484, 18145, 11657, 566, 1703, 616, 1100, 1950, 610, 2352, 2035, 538, 713, 2376, 267, 782, 2838, 568, 513, 2596, 1702, 540, 519, 4971, 1899, 267, 519, 595, 1893, 267, 5269, 12803, 543, 513, 2489, 1620, 827, 3758, 1949, 269, 589, 1880, 17830, 547, 519, 7222, 8445, 7811, 998, 1584, 540, 519, 3926, 6920, 875, 1454, 4055, 585, 6454, 972, 568, 585, 519, 17830, 563, 1692, 547, 2328, 13274, 5060, 17830, 912, 305, 908, 281, 476, 8660, 1315, 476, 1911, 454, 14454, 281, 476, 9032, 26162, 0, 2750, 1842, 7480, 1557, 19875, 10026, 1153, 454, 23458, 6575, 6437, 2200, 19875, 6060, 7503, 12596, 16878, 1557, 1519, 5098, 3948, 2919, 269, 594, 13041, 878, 544, 273, 321, 278, 343, 277, 281, 19875, 2140, 16878, 1603, 27160, 11915, 3710, 676, 795, 332, 560, 1168, 691, 276, 2764, 271, 1210, 3352, 17128, 1260, 1863, 19875, 269, 18745, 547, 3314, 1247, 2870, 16878, 1557, 6299, 7879, 2436, 596, 616, 4058, 547, 1020, 1647, 1153, 16878, 1603, 19875, 267, 10026, 16878, 1603, 269, 16504, 1603, 5439, 267, 1647, 1153, 1603, 1806, 16878, 3732, 3594, 476, 273, 543, 972, 616, 9748, 540, 3606, 10026, 543, 1647, 1153, 1603, 563, 292, 11915, 1153, 10026, 1153, 16878, 3594, 666, 581, 6896, 883, 1896, 10721 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 5044, 609, 519, 4143, 10155, 4994, 543, 946, 713, 5044, 547, 1402, 3634, 707, 9185, 6656, 609, 519, 5044, 2418, 269, 3371, 779, 513, 3732, 1383, 540, 1402, 6819, 513, 4976, 609, 5044, 2418, 8655, 538, 3009, 2047, 563, 8138, 7377, 3634, 17582, 18694, 3890, 17435, 27336, 11749, 263, 275, 1677, 476, 278, 267, 476, 273, 1677, 476, 275, 264, 1306, 6715, 518, 17435, 1775, 1306, 6715, 518, 17435, 795, 1306, 6715, 518, 27336, 11749, 263, 275, 267, 476, 273, 264, 815, 476, 3393, 27336, 11749, 263, 275, 267, 476, 274, 264, 815, 476, 2004, 27336, 11749, 263, 275, 267, 476, 275, 264, 815, 476, 4649, 27336, 11749, 263, 276, 267, 476, 273, 264, 815, 476, 2568, 27336, 11749, 263, 276, 267, 476, 274, 264, 815, 476, 4792, 27336, 11749, 263, 276, 267, 476, 275, 264, 815, 476, 3583, 27336, 11749, 263, 277, 267, 476, 273, 264, 815, 476, 4037, 27336, 11749, 263, 277, 267, 476, 274, 264, 815, 476, 3199, 27336, 11749, 263, 277, 267, 476, 275, 264, 815, 476, 10695, 27336, 11749, 263, 278, 267, 476, 273, 264, 815, 476, 10436, 27336, 11749, 263, 278, 267, 476, 274, 264, 815, 476, 3445, 27336, 11749, 263, 278, 267, 476, 275, 264, 815, 476, 11152, 1280, 1775, 815, 476, 275, 1677, 476, 278, 1280, 795, 815, 476, 273, 1677, 476, 275, 19204, 9217, 267, 795, 1040, 19368, 815, 27336, 11749, 9217, 267, 795, 264, 8921, 795, 8921, 1775, 7736, 4427, 454, 273, 269, 25849, 532, 18880, 547, 26275, 689, 2290, 16847, 547, 6271, 454, 2691, 596, 1810, 1406, 1616, 547, 3651, 2418, 547, 707, 5044, 1369, 3009, 2047, 267, 2864, 596, 991, 547, 3651, 2418, 547, 519, 5044, 689, 4976, 1239, 267, 538, 602, 2013, 267, 713, 1505, 568, 3730, 269, 634, 966, 10621, 3009, 1031, 1934, 786, 3180, 519, 5044, 2418, 676, 2542, 1239, 689, 835, 4976, 543, 1287, 1402, 3634, 1776, 835, 563, 8138, 7377, 6819, 5194, 9515, 564, 3890, 1412, 31711, 519, 2707, 4976, 543, 2039, 17435, 521, 21683, 16703, 1306, 8018, 5590, 521, 21683, 16703, 815, 901, 13480, 1504, 15030, 3311, 19298, 2891, 17445, 569, 8442, 17435, 521, 21683, 305, 1052, 1306, 16186, 5590, 521, 21683, 305, 1052, 815, 521, 21683, 16703, 10611, 1052, 2891, 289, 275, 281, 293, 279, 8442, 1412, 31711, 519, 10278, 4976, 543, 2039, 17435, 3186, 16703, 1306, 8018, 5590, 3186, 16703, 815, 901, 13480, 1504, 15030, 3311, 19298, 2891, 5194, 16847, 8442, 17435, 3186, 305, 1052, 1306, 16186, 5590, 3186, 305, 1052, 815, 3186, 16703, 10611, 1052, 2891, 289, 275, 281, 293, 279, 8442, 1412, 290, 4878, 519, 1239, 547, 606, 818, 571, 17435, 1239, 6635, 337, 3890, 1306, 7352, 656, 1239, 6635, 337, 815, 521, 21683, 305, 1052, 269, 19368, 1412, 290, 4878, 519, 5044, 547, 519, 10278, 2039, 3186, 305, 1052, 269, 19368, 815, 1239, 6635, 337, 7736, 4427, 454, 763, 3009, 12215, 1239, 547, 5044, 689, 519, 2707, 2039, 12462, 289, 275, 281, 293, 279, 14615, 540, 519, 2707, 4976, 968, 17445, 569, 892, 547, 519, 10278, 2039, 12462, 289, 275, 281, 293, 279, 14615, 540, 519, 10278, 4976, 968, 5194, 16847, 9731, 274, 269, 16792, 968, 2690, 892, 10753, 3591, 547, 25849, 543, 18224, 5564, 573, 7645, 26275, 18880, 454, 1103, 9185, 966, 10621, 267, 519, 1280, 8520, 568, 1031, 547, 621, 4733, 936, 513, 3625, 540, 3009, 513, 9138, 1297, 540, 2053, 269, 634, 1280, 8520, 666, 581, 1031, 547, 1685, 16625, 4247, 267, 971, 607, 12055, 908, 936, 513, 2039, 540, 2281, 267, 7900, 9273, 593, 1142, 1591, 267, 543, 13936, 519, 2164, 538, 1776, 2039, 563, 274, 269, 272, 269, 4635, 16186, 8629, 585, 25849, 532, 18880, 547, 26275, 454, 763, 16186, 1843, 538, 9185, 966, 10621, 4564, 513, 1591, 610, 513, 2039, 540, 2281, 538, 513, 4976, 269, 589, 2039, 666, 581, 513, 2582, 1591, 267, 513, 4737, 267, 513, 6241, 267, 610, 513, 14328, 3625, 540, 2281, 563, 4131, 779, 1294, 606, 1383, 540, 513, 17326, 7645, 5044, 1210, 519, 968, 2690, 892, 8520, 609, 519, 968, 305, 1052, 892, 1843, 563, 2080, 267, 606, 5044, 786, 581, 2813, 676, 14921, 519, 1699, 18007, 543, 28758, 4994, 1297, 609, 519, 8520, 563, 8138, 11638, 291, 7645, 26161, 7078, 3890, 17435, 1250, 26161, 263, 275, 1677, 476, 277, 267, 476, 273, 1677, 476, 276, 264, 1306, 6715, 518, 1280, 1775, 815, 476, 275, 1677, 476, 277, 1280, 795, 815, 476, 273, 1677, 476, 276, 1250, 26161, 9217, 267, 795, 264, 815, 1775, 2608, 795, 16186, 2891, 289, 257, 1299, 1775, 1299, 834, 281, 292, 257, 1299, 1775, 1040, 290, 20635, 27203, 910, 476, 272, 264, 815, 1250, 26161, 9217, 267, 795, 264, 8921, 795, 8921, 1775, 7736, 4427, 454, 763, 3009, 11339, 519, 2418, 540, 519, 1250, 26161, 547, 513, 2039, 540, 2281, 538, 519, 4976, 269, 634, 16186, 1843, 568, 1031, 547, 14574, 519, 2039, 540, 2281, 645, 275, 281, 292, 277, 1141, 519, 2418, 1058, 581, 2854, 269, 634, 19204, 3959, 568, 1287, 1031, 547, 2824, 519, 3617, 1591, 1369, 519, 2039, 267, 1759, 593, 519, 1699, 1871, 540, 1775, 543, 795, 563, 763, 3009, 786, 1397, 519, 1267, 2630, 1310, 22589, 563, 274, 269, 273, 269, 22034, 772, 289, 895, 543, 700, 289, 895, 12793, 454, 1103, 9185, 966, 10621, 267, 772, 289, 895, 6763, 585, 968, 308, 3899, 21940, 892, 543, 7024, 519, 5207, 2139, 4994, 1297, 543, 700, 289, 895, 6763, 585, 968, 299, 1077, 21940, 892, 543, 7024, 519, 9803, 2139, 4994, 1297, 585, 513, 9138, 5044, 10155, 563, 763, 3009, 2630, 18252, 966, 10621, 772, 289, 895, 543, 700, 289, 895, 3252, 543, 7024, 519, 1482, 1267, 6591, 609, 6396, 476, 274, 269, 272, 563, 8138, 11638, 291, 7645, 26161, 7078, 273, 3890, 17435, 1250, 26161, 263, 275, 1677, 476, 277, 267, 476, 273, 1677, 476, 276, 264, 1306, 6715, 518, 17435, 1775, 1306, 7043, 267, 795, 1306, 7043, 1412, 19130, 519, 5044, 609, 2418, 1280, 1775, 815, 700, 289, 895, 30044, 26161, 267, 476, 272, 264, 1677, 772, 289, 895, 30044, 26161, 267, 476, 272, 264, 1280, 795, 815, 700, 289, 895, 30044, 26161, 267, 476, 273, 264, 1677, 772, 289, 895, 30044, 26161, 267, 476, 273, 264, 1250, 26161, 9217, 267, 795, 264, 815, 1775, 2608, 795, 8921, 795, 8921, 1775, 1412, 7179, 519, 5044, 2418, 538, 519, 2039, 834, 289, 275, 281, 292, 277, 257, 1280, 1775, 815, 700, 289, 895, 30044, 26161, 267, 476, 272, 264, 1677, 772, 289, 895, 30044, 26161, 267, 476, 272, 264, 1280, 795, 815, 700, 289, 895, 30044, 26161, 267, 476, 273, 264, 1677, 772, 289, 895, 30044, 26161, 267, 476, 273, 264, 16186, 2891, 289, 257, 1299, 1775, 1299, 834, 281, 292, 257, 1299, 1775, 1040, 290, 20635, 27203, 910, 476, 272, 264, 815, 1250, 26161, 9217, 267, 795, 264, 8921, 795, 8921, 1775, 7736, 4427, 454, 763, 3009, 1101, 25361, 519, 5044, 2418, 609, 519, 30966, 2450, 1210, 519, 772, 289, 895, 543, 700, 289, 895, 3252, 543, 16493, 519, 5044, 2418, 538, 519, 2039, 968, 289, 275, 281, 292, 277, 6100, 769, 713, 1259, 267, 649, 666, 723, 966, 10621, 17326, 7645, 5044, 585, 26471, 2418, 563, 275, 269, 25849, 532, 1715, 18880, 547, 476, 273, 291, 25674, 26275, 609, 968, 3725, 291, 574, 892, 15048, 454, 13706, 519, 9183, 1657, 1141, 649, 723, 2418, 602, 649, 666, 8415, 585, 513, 476, 273, 667, 7645, 5044, 269, 23453, 532, 519, 5044, 2012, 609, 513, 10145, 2385, 4185, 568, 1031, 547, 1118, 519, 5044, 2450, 6422, 269, 16792, 519, 1234, 291, 574, 3948, 26063, 4368, 525, 519, 2450, 269, 634, 1234, 291, 574, 3948, 568, 1031, 547, 1689, 519, 2450, 540, 606, 4540, 6422, 5044, 693, 678, 29025, 269, 1809, 7311, 519, 1234, 291, 574, 3948, 2242, 519, 2450, 540, 606, 4540, 5044, 543, 3651, 338, 1007, 2418, 547, 519, 5044, 563, 13706, 519, 1739, 1383, 1141, 513, 6422, 5044, 568, 10294, 609, 17435, 27336, 3890, 16105, 543, 519, 2450, 540, 519, 5044, 568, 10294, 476, 274, 9943, 273, 609, 519, 1234, 291, 574, 27336, 263, 271, 1677, 476, 273, 267, 476, 271, 1677, 476, 272, 264, 3948, 563, 8138, 1763, 1944, 26161, 3890, 17435, 27336, 3890, 1306, 21642, 1234, 291, 574, 27336, 263, 271, 1677, 476, 273, 267, 476, 271, 1677, 476, 272, 264, 27336, 263, 271, 267, 476, 271, 264, 815, 834, 290, 820, 257, 27336, 263, 271, 267, 476, 272, 264, 815, 834, 1015, 257, 27336, 263, 272, 267, 476, 271, 264, 815, 834, 293, 8816, 257, 27336, 263, 272, 267, 476, 272, 264, 815, 834, 276, 257, 27336, 263, 273, 267, 476, 271, 264, 815, 834, 7804, 3855, 257, 27336, 263, 273, 267, 476, 272, 264, 815, 834, 736, 257, 15516, 326, 26213, 27336, 263, 272, 267, 476, 271, 264, 7736, 4427, 454, 1103, 713, 3009, 267, 519, 5044, 2450, 568, 711, 10294, 1101, 609, 519, 17435, 27336, 3890, 3948, 269, 8921, 519, 1234, 291, 574, 27336, 263, 271, 1677, 476, 273, 267, 476, 271, 1677, 476, 272, 264, 3948, 568, 4294, 547, 5581, 513, 476, 274, 9943, 273, 5044, 267, 543, 519, 2418, 616, 8655, 547, 519, 5044, 269, 1411, 666, 1397, 513, 4351, 5044, 1871, 609, 15516, 326, 26213, 547, 2638, 2436, 519, 1007, 2418, 616, 2731, 11402, 610, 711, 563, 3725, 291, 574, 3948, 1579, 1513, 519, 3105, 5044, 543, 3651, 338, 513, 1007, 5044, 269, 1403, 519, 1234, 291, 574, 3948, 568, 11402, 1586, 267, 621, 786, 2312, 519, 3105, 5044, 1871, 543, 1711, 513, 1007, 5044, 269, 1403, 1100, 2418, 616, 8655, 1586, 267, 519, 5044, 786, 3180, 4986, 563, 8138, 1763, 1944, 26161, 3890, 17435, 27336, 3890, 1306, 21642, 1234, 291, 574, 27336, 263, 271, 1677, 476, 273, 267, 476, 271, 1677, 476, 272, 264, 27336, 263, 271, 267, 476, 271, 264, 815, 834, 290, 820, 257, 27336, 263, 271, 267, 476, 272, 264, 815, 834, 1015, 257, 27336, 263, 272, 267, 476, 271, 264, 815, 834, 293, 8816, 257, 27336, 263, 272, 267, 476, 272, 264, 815, 834, 276, 257, 27336, 263, 273, 267, 476, 271, 264, 815, 834, 7804, 3855, 257, 27336, 263, 273, 267, 476, 272, 264, 815, 834, 736, 257, 1412, 4910, 564, 519, 5044, 2450, 1234, 291, 574, 27336, 263, 271, 1677, 476, 274, 267, 476, 271, 1677, 476, 272, 264, 15516, 326, 26213, 27336, 263, 272, 267, 476, 271, 264, 7736, 4427, 454, 1607, 942, 519, 2034, 1234, 291, 574, 786, 2312, 519, 1871, 8655, 609, 1101, 1234, 291, 574, 563, 276, 269, 3465, 6326, 19881, 4578, 609, 476, 273, 291, 25674, 26275, 4635, 968, 3725, 291, 574, 3465, 2925, 892, 15048, 454, 763, 1234, 291, 574, 3948, 1579, 1513, 519, 3105, 5044, 2418, 5329, 519, 3965, 10145, 269, 1809, 3006, 596, 949, 991, 547, 2333, 519, 5044, 2450, 855, 1832, 519, 3105, 5044, 2418, 538, 3965, 269, 1403, 596, 946, 519, 1234, 291, 574, 3948, 1586, 267, 621, 786, 28196, 710, 519, 2450, 607, 1134, 607, 5732, 2312, 5044, 2418, 269, 769, 602, 2013, 267, 519, 1234, 291, 574, 3465, 2925, 3948, 568, 513, 12468, 11232, 269, 898, 711, 1152, 759, 3278, 519, 5044, 855, 849, 8952, 519, 3105, 1871, 693, 519, 1482, 942, 563, 8138, 3465, 6326, 19368, 3890, 17435, 27336, 3890, 1306, 21642, 1234, 291, 574, 27336, 263, 271, 1677, 476, 273, 267, 476, 271, 1677, 476, 272, 264, 27336, 263, 271, 267, 476, 271, 264, 815, 834, 290, 820, 257, 27336, 263, 271, 267, 476, 272, 264, 815, 834, 1015, 257, 27336, 263, 272, 267, 476, 271, 264, 815, 834, 293, 8816, 257, 27336, 263, 272, 267, 476, 272, 264, 815, 834, 276, 257, 27336, 263, 273, 267, 476, 271, 264, 815, 834, 7804, 3855, 257, 27336, 263, 273, 267, 476, 272, 264, 815, 834, 736, 257, 1412, 4910, 1125, 519, 5044, 547, 1039, 1776, 4737, 1234, 291, 574, 3465, 2925, 27336, 263, 271, 1677, 476, 273, 267, 476, 271, 1677, 476, 273, 264, 15516, 326, 26213, 27336, 263, 272, 267, 476, 271, 264, 7736, 4427, 454, 2080, 267, 835, 3364, 1058, 581, 6854, 538, 2247, 568, 602, 596, 666, 1152, 759, 1125, 519, 2034, 10155, 540, 519, 476, 273, 291, 5044, 609, 1234, 291, 574, 3465, 2925, 269, 1403, 596, 2119, 547, 1689, 519, 1101, 10155, 267, 621, 786, 1397, 596, 513, 14840, 942, 5470, 563, 2252, 596, 1185, 513, 476, 272, 8820, 5044, 609, 476, 1015, 2609, 267, 596, 1223, 946 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 2453, 610, 6898, 563, 2691, 7421, 707, 2798, 267, 621, 568, 1271, 547, 4063, 519, 5107, 5129, 676, 519, 4367, 267, 1560, 543, 3932, 540, 606, 1557, 269, 769, 606, 14905, 14436, 1557, 267, 519, 8100, 949, 8428, 971, 607, 2835, 267, 4760, 4930, 610, 2228, 7270, 563, 13911, 834, 20082, 257, 543, 4099, 621, 693, 519, 1283, 540, 519, 2985, 269, 14506, 7433, 14474, 563, 2005, 568, 1271, 602, 596, 917, 875, 547, 2328, 513, 8086, 1957, 3898, 538, 1931, 547, 5838, 513, 1434, 14436, 1557, 269, 769, 1249, 267, 1603, 513, 3898, 568, 519, 1101, 4305, 602, 596, 1058, 2141, 1205, 547, 2094, 621, 786, 5512, 596, 547, 2097, 909, 609, 513, 1732, 1544, 585, 519, 1957, 563, 4913, 267, 1603, 4667, 547, 581, 2352, 585, 1034, 1004, 865, 1934, 779, 513, 8086, 1957, 3898, 547, 4196, 607, 513, 3391, 269, 4985, 281, 10558, 543, 12315, 22419, 606, 22830, 634, 8086, 1957, 1058, 1930, 676, 4758, 519, 3988, 606, 2856, 1018, 547, 2328, 827, 563, 8702, 547, 513, 11426, 5675, 6796, 602, 595, 4100, 256, 1714, 548, 663, 337, 24108, 2593, 568, 513, 6325, 267, 11684, 543, 4081, 2688, 1603, 3028, 267, 26724, 707, 4690, 607, 1373, 540, 14063, 2956, 563, 7197, 20485, 3649, 633, 2511, 4170, 585, 1582, 26190, 4773, 267, 855, 952, 596, 1590, 798, 16523, 538, 1977, 16723, 5948, 267, 610, 14905, 267, 2511, 267, 621, 568, 2147, 547, 1603, 606, 1557, 538, 14905, 2511, 563, 16240, 519, 7433, 269, 3503, 513, 1101, 8908, 540, 606, 4367, 5037, 269, 769, 1614, 547, 2947, 5220, 267, 9305, 707, 2123, 1272, 547, 563, 4338, 288, 14484, 633, 4828, 5675, 5675, 19511, 14436, 3594, 568, 513, 1390, 1259, 547, 2087, 707, 10763, 3206, 5759, 269, 1879, 1603, 713, 1826, 540, 1957, 267, 596, 723, 519, 1761, 540, 17975, 707, 3206, 543, 7393, 707, 2565, 1983, 269, 4201, 11703, 1568, 11855, 543, 15853, 11249, 585, 17090, 267, 14905, 543, 9628, 20081, 12350, 1014, 11239, 6163, 563, 3086, 7028, 476, 278, 628, 7160, 540, 17090, 15030, 3876, 513, 8086, 1957, 538, 16643, 3898, 0, 763, 544, 784, 342, 528, 560, 729, 513, 1507, 267, 14686, 5521, 5065, 547, 2983, 517, 2670, 269, 2983, 517, 657, 2103, 26870, 891, 7068, 585, 1350, 14508, 31247, 24515, 543, 4291, 1903, 538, 519, 8891, 3757, 13403, 26750, 269, 901, 2376, 568, 513, 20839, 827, 513, 13442, 269, 1411, 666, 948, 654, 809, 773, 788, 4215, 676, 9750, 621, 269, 2561, 792, 1734, 31171, 11023, 628, 1773, 6558, 529, 17796, 31171, 18738, 519, 2622, 338, 540, 10060, 12668, 281, 31105, 540, 519, 1849, 2158, 10060, 12668, 281, 13159, 16511, 725, 769, 824, 4654, 25385, 320, 10722, 565, 8158, 689, 834, 10059, 2517, 28588, 342, 1513, 8807, 24655, 2593, 28293, 19072, 784, 342, 528, 560, 13624, 1122, 1742, 286, 1245, 573, 284, 280, 1724, 32579, 279, 257, 595, 20975, 281, 6181, 1742, 4930, 24478, 675, 20839, 338, 24478, 999, 540, 2983, 517, 2670, 1103, 4167, 338, 15239, 1606, 550, 1304, 2249, 303, 1042, 2218, 7068, 295, 5200, 7121, 281, 6181, 1742, 4930, 609, 17374, 13413, 7991, 1543, 568, 2139, 896, 16671, 5174, 312, 4149, 288, 8259, 6382, 7074, 269, 0, 15575, 593, 19655, 454, 2414, 1106, 676, 9256, 2326, 610, 2694, 593, 1283, 540, 513, 2627, 610, 5748, 454, 263, 1103, 845, 531, 264, 1677, 15475, 282, 1095, 2541, 282, 7058, 454, 2414, 1294, 607, 513, 21483, 12136, 282, 2503, 912, 2414, 2285, 3841, 775, 547, 282, 3494, 912, 263, 1103, 845, 531, 264, 1677, 1331, 676, 610, 607, 952, 676, 10203, 912, 763, 4214, 540, 5173, 568, 547, 946, 2601, 610, 1455, 2631, 547, 3313, 1945, 267, 610, 547, 946, 2979, 547, 3313, 606, 2626, 563, 2414, 5173, 5111, 630, 1492, 2179, 267, 6708, 267, 9588, 267, 2990, 267, 610, 1871, 540, 1945, 1916, 2414, 9794, 282, 2015, 282, 7447, 454, 2414, 4137, 568, 3989, 607, 547, 1404, 606, 1271, 1909, 538, 1945, 563, 2414, 7447, 610, 3589, 538, 4434, 267, 2523, 547, 3589, 630, 933, 1430, 2175, 264, 676, 2079, 540, 14368, 1670, 1239, 563, 8340, 1776, 2262, 585, 1293, 593, 269, 769, 713, 2985, 596, 666, 3605, 476, 2767, 19655, 267, 1884, 11618, 267, 18986, 11703, 7215, 267, 543, 1644, 1913, 585, 1293, 593, 267, 899, 281, 7048, 593, 267, 7048, 2390, 267, 4096, 593, 267, 4096, 2390, 267, 5173, 593, 267, 4137, 593, 267, 4871, 593, 267, 1628, 5346, 517, 267, 1964, 2390, 267, 2503, 543, 18783, 269, 0, 288, 3207, 4524, 568, 513, 2783, 602, 5540, 835, 779, 2702, 547, 1205, 6190, 1434, 2298, 540, 3207, 593, 513, 2834, 4493, 269, 12619, 4713, 1291, 547, 3207, 21463, 267, 799, 666, 723, 513, 2942, 1198, 593, 835, 779, 1648, 267, 8404, 267, 5834, 267, 7099, 267, 543, 2949, 1072, 269, 2048, 1103, 930, 2665, 267, 513, 3207, 4524, 568, 513, 10835, 540, 513, 811, 3978, 2564, 610, 2790, 1072, 2783, 563, 2467, 616, 936, 476, 3199, 1114, 3207, 4713, 269, 634, 4139, 19032, 540, 12619, 15136, 630, 12903, 291, 264, 12662, 873, 883, 5722, 6688, 563, 268, 12619, 13565, 22165, 3107, 15136, 630, 324, 3052, 12619, 19103, 12467, 268, 6239, 15136, 540, 14523, 619, 558, 333, 565, 775, 630, 324, 3052, 269, 23902, 1723, 548, 10043, 12467, 268, 8562, 6598, 681, 20263, 12619, 8862, 820, 15136, 630, 324, 3052, 269, 29196, 22086, 4524, 12467, 268, 31226, 558, 333, 5362, 630, 324, 3052, 269, 24622, 333, 3711, 592, 1143, 12467, 268, 12619, 13565, 11873, 15136, 630, 324, 3052, 269, 10163, 1652, 1850, 6794, 2073, 20015, 343, 1143, 12467, 28036, 4713, 666, 723, 1082, 3123, 912, 268, 2353, 25489, 543, 7929, 2042, 281, 950, 596, 3112, 13236, 1813, 547, 513, 4411, 610, 14711, 267, 621, 568, 9157, 547, 2887, 18069, 543, 3207, 3280, 569, 563, 268, 3143, 551, 22202, 281, 519, 991, 547, 2712, 3729, 4749, 568, 1776, 3207, 7519, 528, 602, 4229, 721, 547, 12687, 909, 538, 519, 1647, 540, 519, 3781, 563, 268, 18127, 1928, 281, 7680, 1928, 538, 707, 1560, 971, 607, 12263, 267, 14331, 267, 610, 4887, 24074, 267, 786, 10238, 527, 596, 689, 3478, 602, 1964, 995, 3207, 563, 268, 13262, 543, 4160, 281, 513, 840, 31039, 2247, 786, 711, 2887, 18069, 3533, 543, 4463, 839, 519, 8458, 540, 3781, 2742, 637, 543, 824, 3207, 7519, 832, 269, 901, 568, 1946, 4259, 11735, 19048, 543, 960, 568, 1271, 1354, 5127, 563, 268, 21834, 281, 2368, 3207, 4713, 971, 607, 8934, 17410, 1419, 2196, 538, 3885, 4586, 268, 27096, 673, 4713, 281, 23902, 1723, 548, 10043, 267, 4352, 621, 666, 2049, 593, 922, 1378, 267, 568, 849, 3361, 676, 1978, 14715, 4713, 971, 607, 2789, 26379, 563, 268, 25667, 281, 26861, 10614, 3207, 19103, 568, 1419, 3361, 676, 8377, 610, 4430, 2597, 2073, 799, 5012, 547, 513, 31797, 1369, 519, 2571, 5160, 540, 519, 5023, 543, 11563, 563, 5278, 540, 519, 1034, 1455, 2010, 540, 12008, 4713, 786, 581, 6045, 538, 519, 1739, 6810, 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 ]
[ 0, 763, 7073, 5384, 11270, 3323, 693, 519, 4098, 540, 519, 476, 736, 628, 11416, 269, 5675, 4166, 5912, 539, 689, 21434, 543, 16972, 543, 9862, 513, 1007, 2511, 1634, 607, 2413, 1143, 269, 7073, 626, 1705, 711, 1416, 547, 2328, 827, 2470, 610, 1686, 267, 7429, 519, 21434, 5830, 267, 855, 3079, 267, 2413, 1235, 18808, 811, 609, 3408, 543, 7115, 540, 835, 781, 1582, 269, 9085, 267, 1282, 519, 7073, 16527, 267, 2919, 513, 2631, 540, 32238, 543, 621, 18808, 609, 519, 11760, 618, 540, 519, 1367, 543, 835, 779, 9637, 269, 7073, 1603, 4951, 519, 21324, 543, 32238, 540, 519, 1367, 2864, 982, 13884, 543, 1646, 269, 634, 7073, 5384, 11270, 729, 606, 16022, 3210, 547, 519, 16972, 16527, 269, 7073, 1143, 729, 3323, 676, 2686, 28654, 282, 519, 6574, 540, 891, 28654, 729, 2622, 2782, 2290, 9497, 17457, 1143, 1701, 910, 9085, 11270, 338, 1299, 28073, 269, 715, 4877, 1421, 562, 6155, 269, 5680, 269, 476, 4029, 3967, 269, 476, 1001, 275, 12175, 4438, 713, 942, 267, 6628, 729, 1266, 5285, 539, 538, 519, 2112, 282, 4352, 519, 2112, 729, 711, 10692, 593, 6628, 779, 1753, 3037, 267, 2367, 21821, 539, 883, 519, 9576, 13639, 6028, 3297, 2021, 543, 1453, 543, 519, 11361, 269, 634, 6967, 4961, 941, 1634, 607, 519, 5851, 13571, 269, 634, 2112, 4299, 519, 5851, 13571, 676, 13302, 519, 4441, 540, 2713, 267, 5009, 2021, 779, 2924, 267, 543, 14304, 519, 4123, 18787, 543, 4074, 4229, 630, 289, 6195, 5240, 269, 18917, 267, 562, 6155, 269, 5680, 269, 476, 6860, 4924, 269, 476, 1001, 275, 12175, 4014, 519, 5851, 13571, 729, 1500, 909, 21127, 7247, 941, 711, 3742, 538, 519, 4108, 267, 681, 10967, 339, 7935, 5803, 4956, 547, 6443, 519, 9576, 13108, 950, 6628, 9411, 883, 519, 2112, 269, 681, 10967, 339, 932, 1177, 1676, 7935, 5803, 729, 4535, 593, 4864, 476, 274, 267, 476, 6642, 278, 538, 6628, 269, 7935, 5803, 729, 606, 5140, 19002, 543, 2875, 269, 1261, 13984, 11062, 2160, 543, 6594, 2296, 9085, 543, 25839, 9085, 269, 2991, 18138, 1010, 2090, 693, 11062, 267, 7935, 5803, 24964, 547, 5125, 547, 3136, 1010, 2069, 269, 681, 10967, 339, 2968, 2828, 609, 522, 2483, 1862, 1647, 540, 1957, 4429, 1862, 20623, 269, 476, 6860, 4924, 269, 476, 1001, 275, 563, 289, 6195, 5240, 269, 18917, 267, 562, 6155, 269, 5680, 269, 476, 4962, 4924, 269, 476, 1001, 275, 563, 289, 6195, 5240, 269, 18917, 267, 562, 6155, 269, 5680, 269, 476, 5881, 4924, 269, 476, 1001, 275, 563, 289, 6195, 5240, 269, 18917, 267, 562, 6155, 269, 5680, 269, 476, 2767, 3967, 269, 476, 1001, 275, 563, 29662, 5803, 267, 681, 10967, 339, 269, 834, 763, 22307, 1512, 1701, 7313, 1115, 3820, 269, 9142, 540, 1977, 7313, 1115, 267, 562, 6155, 269, 5680, 269, 476, 2190, 3967, 269, 476, 1001, 275, 563, 257, 24145, 776, 21771, 1325, 1329, 566, 476, 274, 1701, 16520, 15080, 269, 715, 4877, 1421, 562, 6155, 269, 5680, 269, 476, 6860, 4924, 269, 476, 1001, 275, 563, 257, 17457, 1143, 1701, 910, 9085, 11270, 338, 1299, 28073, 269, 715, 4877, 1421, 562, 6155, 269, 5680, 269, 476, 4029, 3967, 269, 476, 1001, 275, 563, 10454, 17368, 517, 16262, 1108, 540, 2296, 9085, 281, 634, 476, 736, 628, 11416, 281, 13445, 476, 273, 281, 11137, 1701, 634, 17368, 517, 16262, 1108, 540, 2296, 9085, 281, 634, 476, 736, 628, 11416, 281, 13445, 476, 273, 281, 11137, 269, 715, 4877, 1421, 562, 6155, 269, 5680, 269, 476, 4029, 3967, 269, 476, 1001, 275, 563, 257, 305, 10967, 339, 7935, 5803, 1701, 681, 10967, 339, 7935, 5803, 269, 715, 4877, 1421, 562, 6155, 269, 5680, 269, 476, 280, 4924, 269, 476, 1001, 275, 563, 10454, 681, 10967, 339, 7935, 5803, 5980, 1701, 634, 681, 10967, 339, 7935, 5803, 5980, 269, 715, 4877, 1421, 562, 6155, 269, 5680, 269, 476, 2767, 3967, 269, 476, 1001, 275, 563, 10454, 22307, 1512, 281, 681, 10967, 339, 7935, 5803, 910, 12834, 543, 11879, 5811, 1701, 634, 22307, 1512, 281, 681, 10967, 339, 7935, 5803, 910, 12834, 543, 11879, 5811, 269, 715, 4877, 1421, 562, 6155, 269, 5680, 269, 476, 5400, 4924, 269, 476, 1001, 275, 269, 0, 2791, 22646, 585, 912, 1103, 476, 3422, 274, 570, 1845, 974, 729, 11280, 519, 3854, 540, 519, 9241, 4646, 14628, 3148, 324, 540, 29443, 25625, 13305, 20318, 807, 16902, 592, 807, 269, 570, 1845, 974, 1008, 4532, 807, 267, 609, 606, 1858, 540, 476, 11025, 4009, 5195, 4429, 763, 717, 4954, 880, 2672, 3250, 657, 630, 528, 2672, 3250, 639, 1070, 7654, 2495, 519, 6153, 22367, 12027, 267, 5526, 593, 513, 1297, 540, 8323, 338, 543, 2493, 340, 22863, 609, 513, 4731, 2280, 607, 1010, 14487, 269, 1261, 4429, 2690, 1383, 267, 519, 5259, 2520, 10309, 5246, 574, 26433, 630, 27868, 268, 18891, 270, 21076, 536, 576, 264, 4362, 607, 606, 9678, 1267, 602, 519, 1858, 540, 513, 10126, 540, 513, 29236, 568, 3160, 547, 4429, 763, 617, 657, 3780, 594, 630, 31718, 17169, 994, 763, 617, 657, 3780, 729, 4535, 538, 519, 11662, 540, 11829, 320, 1815, 807, 538, 32720, 8050, 269, 3571, 4651, 729, 547, 1831, 519, 2489, 4469, 822, 3780, 23323, 657, 3780, 282, 1010, 11299, 2012, 568, 7164, 269, 4429, 7093, 322, 1047, 569, 267, 519, 7455, 538, 519, 27976, 13807, 2033, 540, 971, 513, 5832, 17735, 689, 3160, 15627, 693, 922, 7475, 543, 21177, 693, 1535, 815, 476, 271, 547, 922, 4429, 29730, 2513, 1355, 267, 519, 1930, 2627, 6383, 676, 2847, 6295, 513, 5409, 19096, 827, 2901, 540, 922, 17887, 269, 1403, 519, 17464, 2091, 7852, 540, 519, 2627, 6013, 2059, 519, 1535, 4429, 306, 5593, 1323, 1088, 332, 2986, 2052, 26248, 630, 1105, 29989, 543, 14544, 994, 2304, 1088, 332, 729, 4535, 538, 519, 623, 1221, 23992, 3148, 540, 32720, 7977, 269, 3571, 4332, 2897, 267, 589, 739, 320, 267, 729, 513, 4884, 540, 7580, 2956, 538, 4936, 11440, 543, 538, 10120, 4429, 1103, 1068, 658, 30334, 3590, 454, 1103, 513, 588, 1905, 6658, 16931, 658, 12445, 1062, 519, 5787, 18852, 616, 14461, 569, 15841, 6252, 547, 519, 1560, 17887, 540, 519, 6174, 269, 769, 713, 3498, 519, 14934, 14029, 8554, 798, 4429, 303, 2728, 267, 2749, 267, 3854, 540, 6239, 590, 592, 1177, 525, 328, 630, 306, 592, 1177, 525, 328, 570, 1263, 1695, 264, 4412, 1231, 328, 630, 528, 1008, 1231, 328, 282, 11662, 1070, 7178, 7266, 1537, 9919, 548, 15816, 267, 12868, 269, 898, 568, 4092, 693, 519, 5023, 540, 513, 1507, 1609, 4231, 4429, 15575, 1845, 540, 519, 2622, 13658, 454, 301, 9528, 267, 513, 2244, 6674, 539, 7262, 3979, 2197, 267, 3217, 922, 2012, 689, 519, 20997, 5211, 267, 799, 8928, 998, 519, 27623, 851, 540, 922, 8513, 269, 3267, 14963, 285, 0, 307, 22736, 609, 1453, 543, 1762, 1004, 827, 5198, 543, 10168, 454, 1607, 3391, 786, 2285, 596, 6015, 547, 2911, 547, 1453, 543, 1762, 1004, 827, 5198, 543, 10168, 543, 1020, 741, 1620, 543, 4656, 563, 763, 2200, 2630, 948, 596, 547, 1711, 513, 2922, 2230, 585, 1453, 543, 1762, 1004, 547, 2307, 2055, 543, 1865, 5198, 543, 10168, 269, 634, 4414, 9061, 2832, 547, 948, 6267, 1831, 811, 28450, 543, 14388, 998, 11587, 543, 8994, 2463, 563, 2005, 2488, 1344, 547, 948, 596, 5965, 585, 513, 6643, 543, 6338, 519, 1888, 547, 6267, 269, 898, 849, 2882, 1896, 2238, 543, 12746, 625, 547, 948, 1453, 543, 1762, 1004, 2263, 543, 1865, 519, 1888, 269, 1703, 616, 5094, 6054, 585, 1453, 630, 1137, 476, 274, 547, 476, 1556, 264, 543, 1762, 1004, 630, 1137, 476, 1556, 547, 476, 1240, 1916, 763, 4414, 9061, 4563, 22032, 17460, 2200, 585, 1762, 1004, 2337, 6267, 2992, 593, 3350, 609, 513, 1445, 593, 875, 1004, 1522, 1995, 10168, 543, 875, 621, 1522, 1745, 563, 1607, 2488, 606, 7650, 540, 1018, 547, 2503, 689, 519, 2200, 269, 1703, 616, 21630, 2238, 585, 3119, 543, 6281, 6267, 563, 272, 269, 30334, 281, 7041, 454, 18770, 823, 585, 3237, 593, 875, 547, 5965, 585, 543, 1935, 519, 1641, 269, 5620, 519, 6015, 547, 2911, 547, 1453, 543, 1762, 1004, 267, 875, 547, 6318, 519, 1888, 267, 1711, 513, 2922, 2230, 585, 4901, 543, 4431, 547, 2055, 563, 273, 269, 12861, 606, 4550, 268, 2350, 626, 1604, 281, 2921, 2962, 454, 18439, 2081, 538, 799, 1453, 543, 1762, 1004, 666, 581, 606, 3742, 24343, 609, 2828, 543, 1920, 269, 6333, 875, 621, 1131, 1745, 547, 581, 6462, 563, 274, 269, 15765, 6947, 281, 6947, 2534, 454, 8196, 713, 2534, 547, 1305, 856, 606, 1604, 540, 3742, 6947, 1141, 1004, 666, 2671, 9108, 267, 543, 1866, 6432, 543, 2992, 593, 1018, 568, 1767, 563, 275, 269, 5668, 27701, 11475, 281, 4901, 2534, 454, 17809, 728, 606, 4316, 547, 1865, 1018, 649, 1611, 676, 11475, 543, 4161, 930, 4555, 6267, 1522, 723, 563, 276, 269, 769, 1250, 2146, 281, 7521, 2534, 454, 21886, 5971, 6267, 547, 1589, 827, 7130, 543, 7862, 538, 741, 2199, 2146, 543, 1604, 609, 713, 6972, 7521, 563, 277, 269, 11473, 2534, 454, 21581, 2238, 585, 1114, 6502, 3695, 5198, 543, 10168, 269, 1280, 1453, 267, 3605, 519, 2956, 540, 15962, 707, 2960, 269, 1280, 1762, 1004, 267, 1589, 827, 7130, 1996, 1883, 4600, 563, 278, 269, 18270, 908, 10486, 543, 3604, 281, 4901, 2534, 454, 18439, 519, 7592, 602, 1118, 721, 945, 649, 616, 267, 1018, 798, 649, 723, 538, 1455, 609, 1866, 286, 9181, 513, 3126, 540, 6898, 827, 10486, 543, 3604, 563, 13014, 513, 1544, 540, 2962, 609, 707, 1453, 543, 1762, 1004, 543, 960, 593, 621, 1927, 563, 1607, 4199, 729, 2813, 538, 4873, 476, 1708, 271, 676, 519, 3703, 4414, 9061, 563, 12812, 593, 519, 3095, 2630, 547, 1265, 811, 1344, 563, 11764, 1067, 9877, 1145, 25038, 454, 12812, 593, 519, 3095, 2630, 547, 1265, 856, 811, 912, 763, 4832, 14812, 616, 3728, 16042, 543, 1919, 1522, 1413, 513, 2370, 1114, 713, 1032, 538, 1769, 540, 5046, 268, 866, 563, 2414, 1489, 1453, 543, 1762, 1004, 543, 547, 948, 1832, 873, 7038, 539, 649, 616, 11173, 609, 938, 11587, 11706, 269, 1715, 267, 2656, 2238, 786, 581, 4757, 539, 547, 596, 593, 513, 12353, 4493, 269, 634, 2238, 786, 5000, 2241, 6411, 540, 11587, 267, 1628, 6043, 543, 1331, 3584, 899, 2790, 8171, 267, 20420, 543, 948, 1453, 543, 1762, 5965, 585, 519, 2132, 547, 1153, 269, 11242, 616, 3501, 585, 476, 278, 547, 476, 1240, 1032, 31545, 267, 855, 930, 1522, 581, 5078, 585, 7820, 6267, 563, 14294, 909, 547, 4309, 513, 1863, 3059, 3640, 799, 786, 2270, 912, 272, 269, 9877, 1145, 11706, 454, 8196, 519, 10145, 11706, 547, 2594, 1451, 902, 543, 3232, 11587, 6411, 269, 7179, 621, 1055, 543, 4159, 621, 1472, 519, 1753, 865, 519, 2898, 1920, 666, 1205, 3238, 563, 273, 269, 25417, 2238, 454, 2791, 786, 849, 4309, 513, 3126, 540, 2093, 547, 13173, 519, 11706, 269, 1452, 616, 2110, 2238, 602, 616, 2653, 547, 14764, 543, 786, 581, 513, 7848, 540, 2228, 543, 22356, 2093, 269, 1358, 786, 948, 6267, 2671, 741, 11587, 609, 1866, 267, 1451, 1007, 1983, 543, 948, 1020, 741, 2790, 8171, 6619, 540, 519, 2132, 547, 1153, 563, 274, 269, 25890, 540, 1565, 454, 288, 3703, 4414, 9061, 15149, 799, 666, 957, 607, 513, 2594, 540, 741, 4832, 540, 1565, 563, 12812, 593, 519, 3095, 2630, 547, 6445, 856, 707, 3877, 630, 921, 848, 1205, 10479, 689, 606, 2937, 1101, 994, 3528, 3246, 707, 3877, 649, 786, 4757, 596, 519, 3059, 3640, 693, 519, 1439, 540, 5147, 269, 1411, 3513, 849, 4309, 513, 1592, 540, 2186, 6411, 543, 2238, 585, 1142, 3018, 540, 519, 4832, 14812, 269, 1403, 596, 723, 1022, 2055, 827, 519, 4199, 267, 5225, 4757, 18078, 17106, 11333, 3820, 0, 763, 12316, 538, 519, 11058, 281, 13225, 698, 520, 19453, 779, 11599, 17855, 278, 1295, 1224, 1547, 21213, 281, 476, 6021, 3967, 476, 1001, 277, 267, 476, 1556, 281, 3066, 6751, 594, 4306, 454, 10955, 1243, 32461, 689, 918, 4821, 5839, 14211, 781, 1412, 288, 21829, 3778, 540, 3955, 8705, 3127, 3299, 538, 799, 1352, 15244, 875, 519, 4583, 8523, 3357, 547, 581, 454, 298, 4821, 5839, 14211, 568, 12314, 7548, 693, 519, 2160, 540, 1715, 3162, 12986, 779, 3427, 540, 28299, 543, 19932, 269, 769, 519, 2250, 8717, 267, 5839, 14211, 814, 5249, 2066, 513, 2039, 540, 3584, 1644, 547, 5087, 3127, 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 ]
[ 0, 22129, 15678, 609, 5841, 8904, 786, 581, 538, 10739, 676, 476, 1708, 276, 454, 763, 966, 517, 4858, 684, 6611, 13749, 267, 1759, 593, 519, 2035, 540, 513, 11786, 10196, 267, 568, 3001, 6619, 609, 4070, 4566, 563, 268, 634, 19835, 3118, 7690, 568, 2679, 513, 2230, 15678, 267, 1759, 593, 519, 2035, 540, 513, 13303, 543, 1977, 15177, 10196, 654, 1716, 615, 13153, 4858, 684, 563, 268, 634, 2230, 6728, 568, 4397, 547, 581, 10512, 676, 476, 1708, 276, 563, 268, 634, 2754, 4566, 547, 27043, 621, 538, 10739, 267, 1210, 11608, 543, 19025, 563, 2252, 3047, 569, 18353, 616, 711, 2614, 547, 844, 26067, 707, 32603, 331, 755, 267, 513, 7552, 547, 513, 2230, 15678, 1522, 1205, 593, 707, 16986, 1369, 519, 1985, 1906, 1296, 269, 634, 14704, 540, 519, 966, 517, 4858, 684, 6611, 13749, 7000, 3875, 4566, 602, 1469, 519, 4070, 540, 513, 2357, 3386, 18992, 538, 2230, 563, 289, 16742, 676, 519, 19835, 3118, 7690, 267, 519, 1158, 781, 1101, 2230, 15678, 786, 723, 8904, 267, 13063, 267, 18136, 954, 12542, 543, 2407, 1922, 1194, 3022, 6539, 29353, 269, 1358, 1544, 547, 723, 519, 6728, 10272, 676, 827, 513, 476, 1911, 14666, 829, 3018, 676, 476, 1708, 276, 563, 763, 14704, 540, 519, 1788, 267, 7033, 1325, 1807, 516, 267, 6499, 547, 1118, 10707, 547, 2230, 28125, 563, 257, 30631, 1302, 267, 2469, 547, 2230, 786, 1175, 581, 1776, 4781, 1004, 786, 4584, 585, 741, 16314, 267, 1175, 899, 2469, 593, 513, 23593, 267, 610, 2469, 547, 18557, 2622, 2437, 1325, 1807, 516, 7000, 538, 606, 5967, 609, 1546, 2763, 523, 563, 763, 8904, 19356, 908, 8868, 540, 519, 2230, 6728, 563, 290, 13072, 281, 966, 517, 4858, 684, 6611, 13749, 454, 3891, 14659, 602, 1247, 7620, 2230, 2951, 786, 581, 519, 6389, 540, 519, 579, 828, 268, 17314, 344, 267, 4166, 2614, 621, 786, 581, 2139, 547, 2834, 11570, 563, 763, 6611, 13749, 786, 8415, 4540, 10509, 1031, 693, 519, 4139, 6611, 13749, 267, 855, 786, 8428, 538, 835, 2629, 2460, 1107, 519, 15678, 786, 723, 5841, 8904, 267, 1818, 1279, 3856, 3251, 1454, 811, 19242, 269, 634, 14704, 14659, 8904, 267, 827, 513, 15795, 540, 3047, 781, 267, 786, 1039, 513, 834, 338, 1619, 540, 4287, 543, 10066, 602, 3884, 1405, 1459, 538, 519, 32199, 1701, 1411, 9364, 849, 581, 2111, 547, 979, 547, 513, 16003, 267, 17643, 610, 3548, 1426, 519, 1259, 596, 616, 1031, 547, 563, 290, 13072, 281, 966, 517, 4858, 684, 6611, 13749, 454, 763, 2093, 585, 519, 6728, 941, 3144, 689, 9039, 824, 982, 654, 1716, 615, 13153, 4858, 684, 1107, 8754, 922, 2012, 269, 1403, 596, 11291, 267, 654, 1716, 615, 13153, 4858, 684, 729, 513, 1283, 13303, 15177, 10196, 945, 2919, 519, 25337, 966, 273, 15177, 269, 2991, 519, 2112, 267, 646, 729, 3144, 538, 676, 8331, 543, 2968, 513, 4583, 1977, 10196, 269, 634, 15678, 786, 581, 513, 851, 540, 1010, 1950, 9371, 563, 763, 6728, 786, 581, 1500, 540, 513, 9649, 8868, 267, 476, 5002, 7397, 538, 8006, 267, 799, 786, 581, 15914, 547, 5352, 513, 14965, 3196, 630, 13678, 1791, 538, 7485, 547, 519, 7599, 781, 1040, 476, 2190, 1367, 13838, 609, 12008, 543, 1489, 6703, 786, 581, 3262, 1472, 519, 8868, 593, 1614, 1232, 802, 267, 3246, 22581, 547, 827, 476, 6110, 1004, 538, 2698, 563, 2704, 1807, 516, 19776, 519, 15678, 547, 513, 23593, 6928, 267, 15738, 856, 621, 786, 723, 834, 28236, 540, 519, 1919, 596, 1294, 593, 23593, 9635, 281, 14060, 267, 13063, 267, 7574, 30145, 267, 7260, 32182, 267, 543, 3872, 29468, 1701, 3807, 538, 2230, 563, 290, 13072, 281, 966, 517, 4858, 684, 6611, 13749, 454, 10454, 5326, 540, 519, 19835, 3118, 7690, 568, 547, 1711, 6801, 1222, 2528, 267, 1141, 972, 568, 513, 8628, 2146, 540, 2230, 1922, 2130, 1004, 2713, 543, 2324, 538, 3047, 781, 10739, 543, 3564, 2437, 3838, 1325, 1807, 516, 563, 290, 13072, 281, 966, 517, 4858, 684, 6611, 13749, 454, 5278, 540, 519, 13838, 1223, 581, 4421, 899, 7873, 657, 269, 11524, 786, 581, 2139, 585, 3621, 1382, 547, 6608, 543, 519, 899, 563, 763, 14704, 6045, 602, 519, 954, 12542, 540, 519, 15678, 786, 581, 2813, 1210, 2413, 2067, 2326, 602, 1131, 12990, 585, 6149, 543, 3574, 543, 581, 17426, 543, 2653, 547, 2973, 269, 634, 3636, 23469, 8654, 267, 19267, 543, 18282, 786, 1039, 547, 513, 1753, 344, 1745, 563, 2252, 596, 2811, 11842, 1018, 596, 666, 798, 585, 1187, 538, 971, 606, 1604, 267, 519, 9858, 616, 1544, 532, 547, 1683, 971, 2238, 607, 1970, 3766, 571, 6143, 14912, 267, 911, 5404, 565, 1456, 543, 4224, 16246, 269, 1411, 666, 849, 1404, 1945, 28330, 547, 2372, 1342, 3558, 689, 16452, 25260, 543, 1007, 3756, 602, 1131, 723, 547, 581, 23125, 856, 547, 1491, 5413, 540, 519, 4195, 7399, 563, 1692, 786, 519, 6728, 581, 3710, 286, 1635, 1210, 12747, 1949, 899, 19025, 543, 11608, 267, 1247, 538, 10739, 269, 898, 786, 849, 1118, 946, 540, 717, 306, 3201, 267, 2027, 2230, 4070, 12227, 2919, 676, 2107, 321, 1388, 14716, 563, 19185, 6619, 267, 519, 19835, 3118, 7690, 12034, 519, 966, 517, 4858, 684, 6611, 13749, 607, 741, 6169, 540, 1523, 269, 1358, 20053, 547, 1628, 8273, 2230, 10473, 607, 3747, 585, 971, 7477, 725, 9428, 269, 4256, 1985, 1362, 540, 6728, 568, 1572, 634, 19835, 3118, 543, 666, 13918, 811, 982, 476, 272, 267, 6110, 1004, 563, 1432, 1131, 4755, 952, 596, 2468, 9482, 519, 2475, 2551, 286, 15012, 15623, 962, 326, 956, 5362, 543, 8176, 667, 7795, 24513, 693, 476, 272, 10975, 21180, 593, 11728, 267, 5181, 476, 2764, 563, 15371, 610, 711, 2021, 1589, 581, 1841, 616, 3023, 344, 814, 547, 798, 609, 834, 332, 7394, 29832, 755, 4840, 268, 589, 1007, 1353, 1336, 602, 2021, 13498, 2367, 609, 11132, 4552, 547, 581, 811, 10694, 607, 1134, 607, 9308, 543, 13998, 8789, 563, 268, 6468, 4043, 547, 12314, 811, 24940, 8188, 609, 2168, 4222, 267, 1514, 7682, 4369, 267, 543, 1106, 573, 1464, 563, 268, 6468, 945, 4159, 2362, 2157, 540, 834, 332, 7394, 29832, 755, 2437, 610, 4606, 540, 1065, 1872, 333, 766, 4724, 9184, 5622, 5615, 267, 616, 811, 2693, 547, 4782, 4552, 344, 8188, 563, 6826, 1841, 543, 11994, 540, 27828, 283, 19112, 1826, 6889, 331, 1794, 344, 268, 13548, 257, 1239, 24507, 1676, 1606, 21683, 6889, 10059, 2517, 817, 1115, 18622, 10964, 332, 1787, 269, 1470, 270, 5674, 297, 327, 321, 294, 857, 302, 328, 297, 296, 308, 345, 296, 272, 301, 328, 3674, 1103, 305, 276, 322, 5746, 277, 296, 330, 335, 311, 31357, 297, 280, 4318, 344, 297, 335, 321, 310, 293, 333, 313, 10485, 277, 3412, 327, 271, 323, 295, 289, 345, 302, 328, 279, 341, 312, 311, 301, 345, 313, 311, 305, 345, 299, 333, 297, 756, 290, 276, 339, 1097, 279, 344, 300, 329, 308, 276, 5588, 326, 271, 10157, 280, 341, 322, 6447, 3534, 310, 275, 10224, 289, 333, 296, 12685, 328, 313, 311, 327, 11445, 311, 297, 331, 322, 866, 24863, 5746, 277, 21587, 312, 271, 301, 345, 330, 343, 300, 329, 300, 274, 301, 1789, 6983, 295, 8566, 336, 301, 342, 303, 276, 294, 309, 336, 341, 560, 326, 297, 23354, 327, 21990, 333, 272, 289, 9078, 312, 335, 12717, 9590, 271, 296, 278, 807, 343, 278, 292, 304, 342, 270, 19112, 27970, 286, 12296, 284, 14862, 276, 261, 1723, 24002, 284, 271, 260, 273, 290, 5002, 271, 260, 273, 290, 271, 260, 273, 290, 279, 5392, 261, 19417, 284, 10384, 257, 7329, 6889, 8619, 2801, 277, 257, 1362, 6889, 3944, 6879, 677, 13892, 257, 1239, 268, 3944, 6879, 677, 13892, 268, 573, 6889, 322, 321, 271, 320, 28307, 320, 275, 324, 279, 324, 6245, 7818, 280, 25900, 3393, 325, 274, 325, 278, 320, 1030, 6321, 257, 1239, 268, 3944, 6879, 677, 13892, 268, 4067, 6889, 516, 10964, 332, 1787, 268, 13548, 257, 1315, 11417, 20124, 15894, 281, 22816, 12855, 283, 335, 285, 763, 1353, 1031, 476, 280, 866, 1977, 630, 2865, 569, 3043, 264, 2021, 6502, 476, 1240, 268, 3583, 945, 15951, 476, 1789, 5961, 540, 2367, 789, 941, 3254, 609, 1585, 5933, 540, 11132, 4552, 2208, 269, 634, 11147, 13269, 2367, 609, 8188, 602, 1185, 1044, 25274, 12012, 547, 1413, 811, 21522, 610, 811, 24940, 267, 609, 513, 581, 731, 543, 1510, 513, 581, 731, 269, 634, 2021, 15951, 519, 2367, 2687, 547, 9228, 4482, 4369, 585, 1279, 3856, 543, 2110, 3856, 3347, 269, 634, 1353, 1336, 602, 519, 811, 11132, 4552, 519, 2367, 1185, 267, 519, 2362, 519, 2367, 941, 15951, 593, 741, 4482, 4369, 267, 3226, 585, 741, 29839, 585, 513, 1279, 3856, 2078, 27135, 335, 12481, 335, 285, 8512, 540, 713, 1522, 581, 11911, 547, 11132, 27828, 2443, 1775, 4318, 269, 31732, 24851, 536, 992, 25170, 267, 2647, 32336, 321, 2158, 267, 5394, 10265, 1467, 267, 543, 7184, 1305, 7522, 4064, 2443, 799, 27711, 1344, 547, 513, 4807, 827, 513, 812, 781, 5817, 1072, 543, 1106, 573, 1464, 269, 6468, 4043, 547, 12314, 811, 24940, 8188, 609, 2168, 4222, 543, 1514, 7682, 4369, 269, 898, 666, 849, 5815, 513, 812, 609, 513, 9120, 4761, 3210, 269, 634, 3173, 6700, 602, 741, 4681, 7957, 1681, 28278, 2367, 1223, 581, 1813, 547, 519, 1249, 602, 11132, 4552, 10597, 519, 24940, 11132, 2934, 593, 513, 812, 781, 3068, 267, 899, 2870, 519, 21903, 540, 513, 23198, 10265, 1899, 269, 901, 1223, 5968, 1463, 2640, 547, 2021, 899, 2200, 543, 4027, 602, 1131, 3986, 6668, 1851, 11299, 543, 741, 12256, 269, 769, 824, 1913, 267, 1247, 513, 581, 731, 3085, 1405, 1611, 9120, 11976, 538, 543, 540, 3294, 267, 621, 1522, 581, 513, 18642, 267, 25798, 1259, 540, 6031, 267, 834, 20756, 8004, 267, 594, 6415, 513, 19697, 1922, 3241, 539, 10709, 267, 1611, 267, 19800, 8165, 3684, 1701, 2999, 1962, 20565, 335, 12481, 335, 285, 2005, 1223, 849, 581, 602, 513, 581, 731, 3587, 922, 1378, 22038, 269, 634, 3173, 538, 713, 1353, 13712, 1991, 1382, 602, 1336, 602, 676, 3395, 513, 581, 731, 267, 2367, 5433, 811, 24940, 543, 1185, 2362, 2157, 540, 16796, 19697, 267, 799, 729, 5532, 547, 513, 2362, 1377, 540, 1514, 17282, 269, 1358, 849, 22157, 547, 24049, 547, 811, 2025, 17469, 4978, 827, 4008, 5107, 538, 741, 3347, 609, 2021, 607, 3379, 547, 2367, 609, 2973, 1606, 6409, 523, 8188, 269, 283, 31078, 20565, 31078, 12481, 1962, 20565, 335, 11417, 1432, 1281, 29832, 755, 723, 547, 798, 609, 581, 731, 13283, 286, 283, 335, 285, 11917, 16227, 267, 711, 782, 2021, 2007, 581, 1841, 269, 634, 3173, 941, 3226, 5461, 538, 1018, 7592, 1118, 513, 2021, 4782, 28278, 2367, 936, 2973, 1606, 6409, 523, 8188, 269, 1358, 6743, 883, 1896, 2188, 1519, 513, 4807, 781, 29832, 755, 2157, 593, 1585, 2035, 267, 1200, 7287, 547, 1831, 9176, 267, 543, 1200, 4598, 547, 11132, 4552, 538, 1200, 2123, 1272, 269, 21742, 335, 12481, 335, 285, 6097, 547, 519, 1353, 267, 2021, 945, 941, 711, 883, 11132, 4552, 941, 5828, 11325, 676, 1761, 15495, 610, 824, 1814, 1562, 789, 16545, 1223, 581, 538, 519, 4552, 610, 2960, 269, 6468, 20823, 1164, 593, 713, 834, 624, 641, 31730, 924, 29832, 755, 257, 4336, 1522, 723, 9763, 581, 1841, 607, 513, 1129, 540, 4057, 25462, 6208, 269, 1717, 267, 2021, 945, 19486, 2362, 538, 2157, 540, 834, 12949, 4094, 257, 1705, 1265, 519, 28278, 2367, 547, 581, 14909, 267, 7654, 1317, 789, 9228, 581, 1841, 607, 513, 5365, 540, 1434, 1072, 543, 4761, 1599, 269, 1323, 10578, 6602, 538, 519, 1353, 729, 6402, 547, 13919, 269, 6468, 945, 10268, 2362, 2157, 540, 834, 332, 7394, 29832, 755, 2437, 610, 4606, 540, 1065, 1872, 333, 766, 4724, 9184, 5622, 5615, 267, 941, 811, 2693, 547, 4782, 4552, 344, 8188, 269, 634, 4589, 1566, 1441, 602, 713, 1223, 2992, 513, 3095, 1063, 28278, 1145, 267, 20833, 15061, 19773, 338, 267, 543, 2757, 5784, 3823, 12644, 540, 27828, 538, 10636, 18400, 3347, 27135, 335, 11417, 21206, 4681, 283, 19112, 1826, 6889, 331, 1794, 344, 268, 13548, 257, 1239, 24507, 1676, 1606, 21683, 6889, 10059, 2517, 817, 1115, 18622, 10964, 332, 1787, 269, 1470, 270, 5674, 297, 327, 321, 294, 857, 302, 328, 297, 296, 308, 345, 296, 272, 301, 328, 3674, 1103, 305, 276, 322, 5746, 277, 296, 330, 335, 311, 31357, 297, 280, 4318, 344, 297, 335, 321, 310 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 5544, 1022, 1007, 267, 4657, 267, 610, 8966, 9634, 269, 1411, 666, 5000, 1866, 676, 1210, 519, 814, 6255, 698, 1948, 306, 7219, 13425, 20806, 3188, 538, 707, 1514, 2923, 9708, 563, 268, 1403, 596, 1265, 1022, 4145, 267, 2911, 609, 707, 17172, 6048, 5612, 563, 306, 7219, 9435, 20226, 454, 307, 1410, 553, 32536, 1108, 814, 4604, 2275, 1068, 1881, 17172, 5505, 602, 616, 4966, 538, 16326, 543, 8156, 519, 1585, 2010, 540, 2960, 2860, 269, 6787, 596, 1616, 547, 1451, 811, 827, 707, 2960, 2860, 1981, 610, 616, 7255, 827, 513, 2208, 596, 1336, 1282, 707, 1582, 27902, 267, 649, 666, 948, 563, 1103, 8956, 540, 9253, 534, 5448, 11728, 267, 1289, 721, 693, 630, 13975, 264, 476, 279, 3066, 268, 276, 1240, 271, 610, 7662, 606, 13393, 2228, 998, 938, 22045, 269, 0, 23737, 799, 835, 4640, 689, 519, 968, 300, 9398, 32718, 892, 2376, 602, 596, 3494, 1655, 4564, 606, 1271, 4287, 585, 2359, 538, 513, 5180, 7308, 12641, 1442, 267, 1875, 17380, 2518, 1158, 563, 763, 24262, 14653, 4640, 540, 2359, 602, 2798, 547, 519, 2359, 7674, 513, 2362, 3483, 568, 1360, 1271, 630, 295, 14712, 267, 476, 1220, 279, 1040, 14992, 616, 711, 1152, 1500, 1118, 12434, 543, 4324, 741, 23265, 1152, 267, 855, 789, 616, 1500, 547, 3251, 19311, 693, 519, 1482, 942, 5870, 519, 5551, 3853, 1305, 676, 519, 2754, 269, 20828, 267, 607, 513, 1267, 267, 3947, 519, 2754, 5075, 543, 519, 1259, 4464, 593, 875, 547, 2611, 19311, 1247, 23695, 547, 519, 5561, 543, 7231, 609, 519, 5520, 269, 30825, 1818, 3112, 28025, 5397, 1004, 2509, 2324, 543, 8380, 538, 741, 1655, 543, 3976, 1818, 519, 2754, 513, 1967, 269, 634, 3483, 540, 1946, 513, 2754, 6763, 666, 948, 519, 2754, 1796, 538, 2053, 540, 14488, 267, 543, 3976, 267, 621, 5849, 602, 1004, 538, 519, 3919, 543, 824, 2200, 616, 20834, 1242, 2509, 8236, 519, 3483, 540, 519, 13055, 269, 634, 2359, 3976, 666, 2327, 602, 519, 13781, 17358, 543, 6487, 519, 3483, 540, 519, 3919, 267, 799, 607, 513, 1267, 786, 2327, 602, 789, 798, 711, 2509, 519, 2754, 779, 3853, 543, 6859, 630, 295, 14712, 267, 476, 1220, 280, 1040, 634, 2359, 538, 1210, 519, 4640, 786, 2327, 602, 519, 13781, 538, 922, 4238, 1312, 18368, 543, 11451, 17358, 519, 5075, 267, 5692, 267, 543, 6663, 540, 519, 2754, 543, 3976, 1683, 606, 1604, 1141, 16764, 6487, 1018, 646, 610, 1352, 1058, 269, 6270, 4287, 786, 2327, 602, 519, 2754, 1281, 711, 18848, 538, 7900, 922, 3252, 11451, 267, 18368, 543, 29143, 1227, 269, 2859, 3549, 616, 10024, 519, 2518, 1870, 3942, 543, 267, 4061, 267, 1058, 3648, 1174, 875, 789, 666, 5581, 741, 1585, 3252, 602, 666, 27464, 519, 2754, 543, 2327, 5347, 4238, 538, 1169, 1858, 540, 519, 13055, 563, 23737, 875, 713, 4640, 666, 1732, 5965, 3906, 2221, 585, 2242, 25093, 563, 13528, 532, 513, 3483, 602, 519, 2359, 666, 946, 568, 3833, 1271, 269, 23582, 543, 3486, 1870, 814, 5185, 1082, 2242, 543, 2591, 602, 616, 7683, 9687, 269, 5015, 267, 811, 3549, 616, 1373, 4646, 267, 543, 519, 2344, 4229, 616, 4657, 982, 2479, 1354, 630, 289, 597, 9469, 24849, 1696, 620, 1421, 476, 1220, 279, 1040, 5303, 814, 7494, 4299, 519, 1259, 3549, 7500, 607, 930, 949, 11207, 6133, 741, 1587, 593, 519, 4950, 1247, 1866, 949, 946, 6671, 1259, 547, 2932, 741, 1870, 269, 6820, 543, 3486, 4213, 267, 4061, 267, 991, 547, 723, 513, 3483, 602, 1281, 711, 13404, 1152, 593, 7443, 1818, 855, 593, 519, 10304, 540, 519, 9441, 543, 6075, 269, 589, 2359, 602, 12662, 538, 1747, 513, 3483, 786, 2327, 602, 621, 11479, 621, 13781, 2509, 8236, 519, 3804, 540, 519, 2754, 269, 2353, 2200, 786, 3976, 581, 9859, 2509, 4180, 602, 519, 2754, 15387, 513, 2324, 1604, 602, 568, 5812, 609, 3246, 1271, 4238, 616, 3922, 1242, 267, 543, 602, 786, 948, 519, 2754, 547, 8011, 538, 519, 9757, 2344, 269, 4595, 972, 616, 1082, 4213, 602, 616, 2147, 3823, 2472, 267, 585, 3236, 267, 595, 10087, 2275, 7637, 543, 623, 10134, 328, 267, 799, 20647, 538, 2147, 2472, 899, 23238, 543, 3327, 730, 10425, 267, 621, 568, 540, 1390, 1271, 547, 2327, 602, 519, 3483, 540, 519, 2754, 568, 5693, 7150, 547, 2327, 602, 519, 2754, 814, 513, 8013, 6316, 538, 519, 2344, 269, 20828, 602, 568, 5693, 3989, 543, 2653, 547, 1174, 5849, 602, 519, 960, 1721, 806, 5205, 519, 2495, 540, 519, 4484, 543, 3976, 2743, 519, 3853, 540, 519, 2754, 563, 763, 3483, 540, 513, 1870, 610, 3919, 568, 2629, 2509, 1022, 3853, 602, 4896, 1367, 610, 3919, 949, 1616, 547, 3035, 269, 20828, 6941, 1946, 513, 2754, 568, 538, 6228, 543, 2417, 593, 875, 547, 3914, 519, 7150, 6859, 540, 519, 13055, 269, 4475, 547, 581, 2500, 538, 519, 19458, 3549, 1058, 1445, 593, 4947, 909, 609, 1134, 20452, 3853, 602, 786, 948, 2509, 8236, 513, 1880, 1439, 269, 4475, 267, 621, 568, 1271, 585, 519, 1585, 3549, 547, 2327, 602, 789, 1533, 741, 3483, 5693, 543, 18867, 519, 3853, 602, 789, 20053, 547, 2743, 547, 1463, 519, 13781, 3927, 563, 24576, 23433, 8382, 3767, 0, 6097, 547, 513, 1353, 5342, 676, 681, 15288, 17072, 267, 513, 3540, 2486, 1895, 267, 1152, 476, 279, 2600, 540, 3506, 538, 3127, 616, 735, 2391, 609, 519, 9406, 1677, 4065, 2920, 269, 634, 1353, 2417, 8761, 602, 3127, 22939, 1447, 982, 476, 274, 2600, 540, 12654, 593, 2069, 267, 607, 1996, 922, 17185, 540, 7836, 476, 277, 2600, 269, 3127, 779, 829, 21027, 7836, 593, 2069, 568, 5111, 2185, 2053, 14758, 982, 519, 7836, 30309, 676, 1647, 13867, 2477, 269, 1306, 829, 519, 1353, 267, 1247, 519, 2197, 814, 11636, 4031, 267, 20422, 6608, 723, 1044, 29723, 1173, 545, 950, 621, 2501, 547, 7598, 891, 4031, 269, 27870, 8471, 2069, 2037, 716, 539, 676, 519, 12057, 540, 3127, 593, 4864, 476, 275, 267, 476, 1220, 280, 267, 519, 9406, 1677, 4065, 2920, 6257, 519, 23857, 540, 4180, 1863, 543, 25471, 2069, 585, 782, 1453, 1063, 519, 6502, 540, 476, 277, 543, 476, 1691, 269, 11649, 7757, 538, 519, 4081, 1032, 476, 1001, 271, 268, 1556, 267, 519, 2920, 2306, 621, 25471, 585, 782, 4357, 3506, 547, 15395, 476, 1839, 2600, 540, 16295, 547, 1453, 1759, 593, 741, 2804, 4282, 610, 22634, 269, 898, 2417, 31433, 602, 1100, 1126, 1058, 581, 1500, 547, 3251, 1394, 513, 1032, 267, 30461, 610, 581, 2838, 547, 1780, 513, 4604, 981, 2394, 519, 12032, 540, 519, 10026, 3942, 630, 12218, 476, 272, 268, 279, 1040, 634, 2920, 849, 2882, 15508, 543, 9308, 16981, 1453, 267, 945, 616, 13886, 547, 1863, 2507, 3367, 2407, 713, 1650, 454, 268, 14076, 553, 22474, 779, 2069, 4808, 3352, 330, 715, 9573, 10135, 454, 268, 3624, 781, 14579, 12080, 9324, 25555, 772, 344, 724, 584, 5274, 7126, 9291, 6178, 539, 676, 11686, 267, 966, 3298, 547, 1412, 295, 527, 7982, 7055, 268, 11686, 20050, 772, 344, 724, 584, 5274, 7126, 8889, 2920, 540, 476, 1708, 271, 14190, 532, 2475, 547, 1955, 2821, 1715, 5842, 2388, 593, 3624, 454, 268, 24637, 585, 3102, 2069, 3609, 1282, 6855, 454, 268, 6406, 7126, 26064, 267, 6837, 2006, 3627, 11066, 667, 625, 2311, 476, 3199, 454, 268, 772, 2529, 269, 24476, 2185, 4457, 8387, 936, 1480, 2924, 28407, 538, 2473, 514, 10202, 836, 454, 268, 12672, 773, 9995, 619, 281, 24068, 16393, 28161, 2048, 7197, 28626, 5518, 685, 4595, 15284, 17619, 454, 268, 2549, 333, 17965, 281, 5177, 1412, 13616, 569, 771, 532, 523, 6681, 262, 827, 1480, 2924, 538, 15840, 1778, 454, 268, 8549, 4585, 27594, 15565, 1230, 3118, 581, 6569, 689, 1909, 585, 670, 2255, 2920, 19374, 454, 268, 17434, 24068, 4149, 32752, 4305, 4229, 21048, 559, 11636, 3760, 1310, 3275, 540, 16395, 454, 763, 9406, 547, 4065, 2920, 281, 589, 11636, 2920, 267, 30096, 6388, 723, 476, 26482, 1913, 267, 2022, 593, 538, 269, 18080, 13885, 1695, 5622, 2593, 693, 4989, 476, 1724, 267, 476, 1001, 279, 269, 901, 568, 524, 3737, 2985, 593, 19923, 289, 2273, 269, 1403, 596, 1616, 4894, 713, 2985, 267, 5225, 3346, 721, 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 ]
[ 476, 13679, 276, 1070, 28925, 269, 17722, 966, 630, 5053, 281, 21634, 6559, 282, 476, 866, 5412, 476, 12739, 274, 1107, 476, 280, 5147, 476, 14690, 277, 264, 729, 3751, 540, 8050, 689, 476, 272, 5437, 476, 10204, 271, 547, 476, 1691, 5130, 476, 15094, 275, 267, 543, 1586, 689, 476, 277, 5181, 476, 15094, 275, 547, 1010, 2669, 538, 476, 14690, 277, 269, 8158, 5239, 476, 1626, 267, 476, 1708, 271, 689, 15610, 2593, 281, 4179, 2517, 4178, 269, 1890, 743, 31638, 2593, 270, 20931, 270, 1890, 743, 641, 2664, 553, 17038, 2006, 30929, 20675, 5296, 338, 7146, 2173, 2355, 270, 874, 559, 760, 268, 643, 17898, 664, 268, 8182, 276, 268, 14917, 276, 269, 9986, 643, 4100, 781, 11218, 538, 5333, 267, 9315, 1400, 26548, 3559, 24586, 267, 13859, 2724, 547, 1312, 18280, 8205, 543, 17577, 607, 3943, 10136, 13026, 18280, 8205, 269, 1514, 13253, 269, 8050, 910, 8050, 910, 17722, 10001, 779, 12081, 281, 769, 476, 14341, 271, 267, 1739, 519, 14710, 540, 19291, 966, 630, 1492, 1528, 528, 5493, 520, 710, 267, 610, 19036, 267, 689, 519, 10910, 514, 14657, 945, 1185, 7608, 519, 13862, 540, 4425, 1335, 807, 950, 621, 729, 6035, 547, 1864, 538, 476, 14065, 279, 264, 543, 519, 4425, 1335, 2103, 267, 5053, 10136, 689, 519, 13814, 9411, 519, 968, 310, 5793, 3751, 779, 892, 22420, 2531, 514, 687, 540, 519, 681, 1156, 880, 6022, 520, 3729, 269, 1547, 1261, 814, 1044, 4371, 3743, 585, 519, 7771, 540, 8050, 267, 799, 729, 5631, 1813, 547, 5214, 3123, 7361, 3564, 519, 1852, 540, 1022, 835, 14610, 269, 17722, 1287, 9310, 1010, 562, 19991, 267, 25795, 3570, 540, 15212, 267, 4171, 2034, 5067, 267, 8176, 267, 15110, 519, 17599, 2390, 17722, 781, 2669, 538, 476, 14917, 276, 269, 15610, 2593, 269, 25737, 713, 2376, 17292, 513, 2511, 2630, 267, 543, 5299, 519, 1257, 585, 707, 15853, 269, 1261, 15469, 519, 5053, 14364, 267, 3710, 519, 6022, 659, 1470, 1642, 11370, 523, 7304, 564, 10098, 267, 23762, 519, 10424, 10070, 267, 543, 729, 20653, 5451, 345, 4302, 345, 685, 1034, 818, 4823, 1139, 7163, 269, 4438, 1010, 12081, 8050, 729, 7722, 538, 4914, 10617, 543, 14324, 676, 4835, 27693, 269, 1261, 22064, 513, 7206, 547, 17722, 547, 8661, 519, 1412, 307, 805, 344, 540, 519, 12877, 16867, 525, 269, 8339, 17722, 267, 2705, 267, 23384, 513, 6433, 540, 5132, 1282, 519, 476, 13932, 271, 6595, 269, 19331, 731, 519, 1439, 540, 519, 476, 14341, 271, 338, 267, 519, 5053, 7952, 1185, 4503, 922, 17282, 269, 3751, 17722, 10001, 281, 932, 611, 19213, 11875, 328, 2714, 269, 17722, 568, 1655, 1634, 585, 519, 2367, 945, 11303, 1864, 269, 4634, 1498, 17722, 729, 606, 10995, 14610, 267, 646, 16941, 1932, 1454, 593, 1010, 26110, 269, 28925, 267, 476, 2735, 273, 269, 4855, 811, 7986, 4773, 540, 17855, 693, 26264, 691, 3820, 1107, 1655, 3308, 1148, 6538, 269, 15610, 2593, 269, 1280, 4352, 18280, 8205, 729, 4465, 1394, 538, 476, 13679, 273, 267, 28153, 729, 1586, 10294, 538, 476, 13679, 274, 269, 4032, 5937, 8123, 540, 9986, 643, 4100, 729, 12912, 607, 1010, 8783, 14012, 269, 769, 476, 14065, 279, 8050, 1185, 1044, 6537, 883, 1018, 2968, 519, 774, 8812, 13012, 262, 2782, 267, 543, 538, 476, 14341, 279, 621, 2968, 1671, 333, 1563, 538, 519, 865, 10777, 2782, 540, 519, 31615, 10224, 11773, 542, 267, 799, 5828, 856, 547, 581, 7199, 543, 24631, 607, 621, 606, 13499, 8050, 781, 2067, 16167, 543, 5795, 513, 11802, 547, 5333, 269, 17722, 10001, 630, 5053, 281, 21634, 6559, 10001, 267, 14082, 281, 8606, 6559, 8633, 282, 476, 279, 4989, 476, 8182, 276, 1107, 476, 1704, 5181, 476, 14917, 276, 264, 729, 3751, 540, 8050, 1063, 476, 14341, 272, 543, 476, 14917, 276, 1261, 729, 849, 19988, 540, 519, 5053, 13814, 543, 3751, 540, 17577, 2394, 476, 13932, 271, 269, 1261, 2760, 882, 5034, 689, 1010, 4339, 1996, 646, 637, 344, 267, 21108, 519, 7826, 5132, 543, 12145, 5191, 540, 10847, 1369, 1010, 11182, 269, 15610, 540, 2622, 22335, 269, 1452, 2621, 18617, 26548, 3559, 24586, 543, 1010, 24288, 267, 9315, 1400, 631, 1794, 18288, 267, 602, 267, 676, 13197, 606, 782, 13050, 2112, 1996, 8050, 267, 5333, 1223, 2744, 9645, 2244, 543, 1379, 538, 519, 3864, 14364, 269, 8158, 5239, 476, 1626, 267, 476, 1708, 271, 689, 15610, 2593, 281, 4179, 2517, 4178, 269, 1890, 743, 31638, 2593, 270, 20931, 270, 1890, 743, 641, 2664, 553, 17038, 2006, 30929, 20675, 5296, 338, 7146, 2173, 2355, 270, 874, 559, 760, 268, 643, 268, 271, 269, 5333, 1031, 519, 16083, 1310, 17722, 781, 2669, 267, 547, 28958, 811, 689, 519, 5053, 11182, 1282, 519, 2782, 540, 8061, 1828, 269, 1547, 1452, 11182, 3769, 1010, 1273, 3234, 3415, 538, 519, 13814, 267, 1141, 17557, 1143, 1185, 3144, 2620, 3597, 269, 769, 2560, 1715, 670, 13273, 267, 476, 2735, 271, 269, 3571, 8250, 729, 21322, 774, 2946, 337, 11726, 572, 540, 15212, 267, 7385, 540, 8402, 2473, 4353, 269, 3571, 9576, 4400, 1145, 13584, 17722, 267, 5918, 651, 540, 25470, 630, 9799, 476, 4572, 272, 264, 814, 6170, 936, 15823, 1296, 676, 519, 2427, 540, 1010, 7385, 267, 10348, 10906, 4083, 540, 13983, 320, 2507, 267, 17722, 519, 6153, 630, 16928, 277, 268, 16409, 278, 264, 729, 16099, 540, 26990, 1495, 344, 689, 476, 15221, 280, 547, 476, 16409, 278, 269, 2991, 17722, 781, 2669, 713, 16083, 729, 1031, 607, 513, 840, 3667, 585, 519, 23069, 540, 1869, 811, 5053, 8513, 538, 519, 8899, 18831, 1282, 519, 2782, 540, 8061, 1828, 269, 634, 1655, 1433, 593, 519, 4505, 3368, 540, 1010, 12081, 568, 3627, 670, 269, 11875, 328, 2714, 267, 634, 4860, 27117, 540, 519, 18280, 753, 281, 589, 5530, 538, 519, 13207, 710, 540, 8050, 267, 476, 14689, 279, 268, 13932, 271, 630, 3422, 274, 1070, 538, 799, 646, 13085, 569, 7208, 1571, 519, 9153, 540, 519, 5705, 1856, 269, 15610, 540, 2622, 22335, 269, 2342, 267, 476, 13970, 271, 547, 476, 9965, 280, 281, 15610, 540, 519, 7216, 7073, 2622, 269, 6145, 1010, 4651, 267, 17722, 1185, 9666, 619, 945, 1419, 941, 15034, 676, 23279, 15626, 5443, 540, 721, 584, 4771, 519, 17599, 269, 17722, 6068, 10655, 10367, 689, 2066, 2342, 267, 799, 646, 10268, 547, 13686, 1010, 1379, 543, 4567, 269, 3751, 17722, 10001, 779, 7435, 2401, 2433, 24898, 25595, 269, 11875, 328, 2714, 267, 808, 269, 670, 269, 634, 4032, 5937, 8123, 540, 9986, 643, 4100, 281, 634, 2276, 2006, 538, 606, 6520, 540, 13207, 710, 269, 4746, 19612, 1306, 281, 21634, 6559, 667, 4040, 334, 966, 6403, 2758, 632, 3288, 30434, 632, 15212, 586, 15212, 267, 1975, 1787, 270, 2750, 268, 281, 25795, 3570, 540, 15212, 630, 332, 269, 476, 13932, 280, 1070, 4432, 529, 9278, 540, 5333, 630, 332, 269, 476, 14065, 276, 1700, 13932, 275, 1070, 16254, 281, 1325, 874, 2945, 24381, 823, 540, 15212, 267, 14732, 540, 15212, 267, 9315, 1400, 268, 14813, 14397, 30544, 540, 15212, 267, 5606, 14397, 282, 24883, 267, 20152, 25845, 540, 15212, 267, 12756, 17555, 540, 8050, 267, 12756, 540, 15212, 267, 1453, 281, 1325, 517, 810, 21293, 632, 5842, 6742, 27713, 267, 1325, 517, 810, 7009, 337, 6403, 4302, 345, 632, 16114, 334, 8751, 27222, 267, 645, 953, 553, 541, 8176, 282, 13584, 540, 8330, 584, 5362, 267, 8176, 4083, 540, 8050, 267, 12113, 3757, 8751, 14504, 338, 546, 262, 383, 478, 755, 6319, 267, 3627, 540, 15212, 519, 8479, 518, 267, 20844, 595, 1601, 6403, 334, 267, 20152, 634, 25564, 540, 8050, 267, 12756, 634, 25564, 540, 8050, 267, 17722, 18370, 704, 334, 282, 13584, 540, 8330, 584, 5362, 267, 6423, 519, 2621, 538, 1272, 540, 17722, 10001, 2986, 8050, 538, 20048, 1670, 11352, 269, 1547, 17722, 729, 513, 7826, 543, 4553, 922, 12738, 3909, 569, 267, 2523, 4724, 519, 8545, 851, 540, 1010, 12081, 269, 3571, 2034, 7385, 267, 12756, 17555, 540, 15212, 267, 5795, 4332, 547, 835, 5067, 945, 15068, 267, 519, 688, 20439, 8176, 4083, 267, 945, 729, 30758, 547, 581, 519, 2063, 670, 2355, 7921, 16313, 540, 8050, 269, 30318, 585, 2489, 3140, 4282, 616, 595, 269, 966, 269, 11205, 326, 6229, 267, 634, 774, 8812, 13012, 2782, 630, 4350, 279, 1070, 543, 14161, 808, 269, 26179, 267, 634, 6520, 540, 519, 25724, 267, 476, 14065, 271, 268, 14917, 271, 630, 4198, 273, 1040, 17722, 1500, 513, 1025, 8974, 676, 13461, 1932, 1454, 593, 1010, 5172, 14012, 543, 9228, 5333, 607, 513, 4617, 18545, 1282, 519, 476, 13932, 279, 2605, 27475, 18326, 269, 5808, 1772, 634, 4279, 652, 21058, 2782, 1874, 769, 3778, 286, 3571, 1101, 7385, 267, 1772, 8475, 540, 25816, 2548, 267, 945, 5747, 538, 476, 13932, 275, 267, 1185, 835, 5067, 267, 945, 5747, 538, 476, 13932, 277, 693, 519, 2085, 540, 11157, 8696, 269, 700, 2393, 539, 676, 519, 3943, 1282, 9478, 12844, 777, 27525, 781, 13567, 540, 28925, 538, 476, 8687, 274, 269, 11374, 519, 4860, 27117, 540, 519, 4880, 2507, 2755, 8050, 729, 538, 519, 17945, 540, 513, 2101, 2883, 6433, 267, 17722, 16539, 538, 519, 15999, 1412, 31807, 523, 4825, 10098, 20066, 685, 538, 28925, 547, 4159, 1010, 4015, 269, 28582, 547, 1142, 2511, 779, 15007, 3823, 519, 1655, 1259, 547, 3898, 2985, 2338, 543, 23023, 7389, 269, 12358, 652, 1227, 8050, 538, 519, 27867, 2540, 23384, 513, 2620, 2804, 6433, 269, 22544, 540, 281, 17630, 14339, 337, 6403, 326, 22222, 632, 8125, 9366, 586, 20653, 5451, 345, 4302, 345, 630, 28049, 267, 476, 14689, 280, 1700, 14917, 271, 264, 476, 14341, 275, 23839, 270, 20007, 1664, 13813, 593, 17198, 269, 1703, 941, 513, 1906, 2038, 4108, 29217, 267, 1851, 873, 519, 476, 14341, 275, 21704, 540, 645, 1042, 320, 676, 519, 10656, 543, 519, 4622, 781, 7015, 781, 11802, 936, 519, 9527, 525, 693, 519, 476, 14321, 275, 11135, 540, 715, 7238, 6113, 1782, 523, 267, 32161, 1242, 6606, 676, 17630, 14339, 337, 6403, 326, 22222, 632, 8125, 9366, 20653, 5451, 345, 4302, 345, 543, 8834, 6754, 11676, 839, 269, 11682, 6579, 7709, 10001, 630, 306, 5183, 2562, 264, 630, 8182, 276, 1700, 14917, 276, 1070, 4622, 540, 8050, 630, 14341, 272, 1700, 14917, 276, 1040, 17722, 781, 9030, 14012, 267, 13937, 1706, 632, 2871, 345, 332, 17505, 267, 4032, 540, 9986, 643, 4100, 267, 13856, 1010, 5646, 15078, 543, 729, 519, 2500, 14610, 540, 8050, 585, 811, 982, 476, 736, 1296, 269, 3751, 17722, 10001, 540, 8050, 630, 8182, 276, 268, 14917, 276, 264, 14956, 2287, 519, 808, 2863, 320, 540, 519, 13372, 717, 1834, 324, 7179, 676, 30554, 22828, 4406, 611, 517, 269, 634, 4070, 729, 3810, 10353, 676, 519, 1857, 269, 17722, 781, 17418, 547, 3142, 538, 6469, 543, 4108, 15024, 547, 8050, 3361, 922, 7771, 269, 17722, 849, 16941, 593, 519, 5796, 540, 562, 684, 3057, 17144, 632, 3331, 479, 326, 1042, 320, 267, 945, 7283, 609, 519, 4622, 11489, 1010, 2669, 269, 1717, 267, 18015, 7902, 538, 519, 2078, 936, 942, 267, 1813, 547, 741, 17804, 14789, 269, 769, 1840, 547, 519, 17090, 267, 9628, 267, 543, 14905, 6163, 267, 707, 1153, 267, 6280, 267, 8313, 267, 610, 9872, 949, 723, 922, 1378, 4170, 585, 14327, 269, 17722, 729, 1175, 476, 1015, 950, 646, 729, 9310, 1055, 547, 4432, 529, 9278, 540, 5333, 267, 945, 729, 476, 274, 1296, 4587, 982, 1864, 269, 8050, 4503, 1312, 667, 6064, 518, 4302, 543, 25706, 547, 519, 2296, 269, 9986, 643, 4100, 1500, 3646, 547, 1832, 873, 6306, 547, 2327, 1010, 3310, 936, 1864, 269, 17722, 781, 12081, 14754, 519, 11344, 2085, 540, 5053, 1148, 543, 3332, 1317, 646, 729, 513, 1390, 19121, 540, 3332, 267, 14364, 267, 543, 519, 5386, 6575, 269, 4789, 1185, 9676, 8050, 781, 667, 6064, 25184, 543, 25706, 269, 17740, 656, 30871, 269, 22118, 577, 267, 3627, 269, 17722, 543, 9986, 643, 4100, 941, 865, 23816, 540, 1142, 824, 602, 741, 23609, 941, 10268, 2427, 676, 2427, 693, 519, 1412, 31807, 523, 4825, 10098, 20066, 10086, 799, 729, 2808, 3833, 513, 9028, 538, 2342, 1394, 1287, 269, 17722, 781, 1985, 14012, 267, 30511, 632, 4498, 334, 267, 814, 1044, 3810, 22309, 676, 12206, 269, 634, 2551, 7771, 538, 2342, 3366, 547, 269, 17722, 10001, 3357, 547, 1379, 607, 2112, 1063, 8050, 543, 519, 15141, 1190, 10656, 2857, 10642, 1310, 519, 1163, 19418, 540, 513, 1854, 576, 269, 18766, 689, 4758, 1864, 2797, 5796, 267, 3057, 17144, 849, 5293 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 5149, 476, 277, 281, 28304, 6452, 6342, 543, 5590, 10587, 538, 1677, 850, 339, 9751, 692, 7072, 1384, 2414, 850, 339, 2866, 568, 513, 1713, 24182, 538, 513, 1126, 781, 1272, 267, 16287, 741, 3460, 2509, 7115, 543, 1582, 13282, 269, 1717, 267, 10913, 543, 22303, 1282, 713, 1184, 616, 1455, 543, 666, 581, 4101, 585, 3237, 543, 15637, 269, 769, 713, 1770, 267, 649, 786, 2263, 2994, 547, 7753, 891, 2591, 543, 1489, 1453, 998, 3811, 16003, 2866, 269, 1284, 786, 1865, 2168, 543, 3929, 22026, 267, 2792, 267, 2318, 15699, 267, 9639, 267, 543, 11007, 269, 1635, 1620, 891, 1883, 2188, 267, 596, 786, 581, 1732, 9280, 547, 3391, 3885, 998, 1018, 666, 1419, 581, 513, 1950, 11095, 3942, 780, 16498, 3367, 1465, 543, 6513, 1384, 2690, 3811, 16003, 2866, 267, 1453, 991, 547, 3035, 2168, 22026, 267, 4481, 9013, 741, 15108, 543, 15485, 6091, 269, 20050, 540, 2168, 22026, 1331, 5812, 15108, 5322, 1472, 519, 1482, 942, 3232, 267, 1100, 30148, 15108, 5322, 267, 543, 4509, 513, 3819, 546, 807, 704, 585, 693, 2547, 1079, 3108, 630, 290, 2761, 267, 5576, 636, 267, 0, 2080, 568, 606, 1349, 689, 513, 2546, 912, 257, 2691, 1058, 596, 1376, 16003, 2866, 707, 1126, 888, 7312, 1126, 1590, 581, 1312, 9308, 543, 14156, 4712, 585, 16003, 2866, 269, 4107, 1453, 616, 4712, 547, 1376, 950, 789, 616, 1063, 476, 2420, 543, 476, 1789, 3275, 540, 2085, 267, 855, 1169, 1126, 568, 1114, 269, 1677, 850, 339, 2866, 2356, 3587, 513, 1279, 543, 24858, 1184, 952, 596, 2119, 547, 1376, 621, 1354, 707, 1126, 568, 4712, 563, 6524, 1453, 666, 946, 519, 16003, 267, 789, 1590, 581, 2111, 547, 1852, 741, 15108, 543, 15485, 6091, 269, 2368, 4191, 540, 713, 1852, 616, 2348, 15108, 5322, 1472, 519, 1482, 942, 1142, 1554, 267, 711, 2348, 15108, 5322, 693, 3781, 267, 543, 2348, 513, 3819, 546, 807, 704, 1310, 513, 23040, 610, 585, 693, 2547, 476, 273, 3108, 693, 513, 942, 269, 5753, 1590, 849, 581, 2111, 547, 4894, 7802, 543, 18214, 5196, 519, 16003, 267, 5968, 267, 543, 723, 27058, 824, 2596, 5179, 1983, 1354, 789, 666, 946, 519, 16003, 676, 2933, 563, 7197, 1453, 616, 9308, 4712, 547, 16003, 5721, 1354, 789, 616, 14156, 4712, 269, 2659, 1126, 1590, 1616, 547, 946, 519, 16003, 543, 581, 8348, 547, 28111, 609, 596, 269, 2659, 1126, 949, 1256, 3010, 2237, 606, 3573, 543, 2143, 1576, 1770, 538, 513, 1837, 585, 2852, 1053, 1644, 547, 519, 1349, 1657, 267, 2519, 593, 834, 7021, 5765, 6452, 6342, 543, 5590, 10587, 257, 607, 851, 540, 834, 293, 4456, 6579, 312, 1299, 23781, 9569, 17239, 296, 4916, 1315, 1677, 850, 339, 9751, 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, 2878, 16215, 281, 10289, 8535, 543, 8551, 4373, 8702, 547, 713, 1187, 543, 3078, 1770, 1141, 649, 786, 1451, 827, 2575, 267, 6575, 267, 543, 1114, 5159, 256, 5620, 596, 2479, 4862, 540, 12372, 945, 2322, 593, 5691, 30145, 286, 2107, 5310, 596, 723, 4862, 540, 15023, 1373, 6444, 585, 741, 5863, 960, 286, 4270, 267, 538, 713, 1770, 267, 649, 786, 2263, 891, 3584, 543, 811, 256, 1924, 10544, 707, 31940, 543, 1577, 781, 4685, 883, 519, 1158, 540, 2575, 543, 6575, 2439, 1262, 1432, 568, 513, 14044, 19270, 1068, 15140, 5331, 11504, 513, 13447, 855, 3079, 540, 2469, 547, 513, 2462, 30806, 610, 14364, 267, 596, 666, 4585, 621, 1318, 689, 707, 2713, 4055, 256, 2334, 568, 1018, 513, 5691, 13447, 568, 782, 827, 269, 2060, 2029, 7760, 267, 5159, 666, 1631, 1685, 2661, 2982, 936, 519, 4950, 269, 1411, 666, 2972, 8384, 873, 998, 707, 2780, 267, 16979, 267, 610, 1256, 16335, 269, 898, 781, 899, 2348, 4395, 4737, 16295, 547, 1294, 707, 5172, 22459, 1404, 2439, 4131, 803, 2995, 596, 827, 835, 971, 7574, 3126, 1572, 834, 24874, 16011, 1715, 28477, 14044, 20837, 532, 19270, 1068, 10022, 2668, 901, 3126, 2934, 1585, 12563, 12372, 4730, 741, 8964, 12303, 269, 6056, 540, 621, 607, 18136, 2828, 936, 547, 25888, 856, 267, 4849, 789, 616, 7900, 2228, 256, 1215, 3579, 568, 602, 2496, 1262, 9288, 7566, 3776, 10871, 7313, 564, 19846, 622, 4373, 288, 10564, 31444, 622, 568, 2576, 945, 814, 1044, 13166, 12912, 607, 513, 10564, 540, 513, 2197, 267, 1533, 267, 610, 2146, 269, 1358, 2328, 9954, 547, 8661, 1271, 2621, 610, 3895, 7924, 543, 2069, 269, 3767, 4952, 5870, 2576, 945, 6585, 971, 513, 2027, 2140, 1369, 707, 1378, 4884, 1107, 875, 15813, 1131, 602, 581, 2496, 7659, 4639, 267, 8419, 814, 922, 1360, 1378, 7313, 564, 19846, 622, 3957, 27003, 1230, 5797, 269, 2701, 5063, 4607, 6284, 689, 519, 2817, 7736, 578, 618, 585, 519, 8551, 269, 901, 1797, 1352, 729, 2016, 1489, 543, 7616, 585, 1200, 6965, 3785, 1317, 1004, 3494, 538, 1200, 13007, 543, 6612, 585, 1913, 269, 1548, 2306, 27003, 2189, 568, 602, 1352, 3096, 4948, 2833, 543, 4664, 607, 6667, 585, 1200, 9954, 269, 4173, 960, 5963, 9356, 1272, 538, 6206, 4639, 780, 1262, 21900, 2762, 543, 32313, 4373, 5970, 596, 2479, 6836, 13830, 8090, 1210, 513, 8254, 286, 14171, 5961, 2636, 721, 547, 8190, 8823, 11014, 269, 6884, 3168, 693, 2025, 6337, 6770, 1394, 6126, 2053, 6170, 609, 1920, 543, 2828, 269, 1809, 1705, 596, 917, 602, 11147, 1223, 849, 18427, 2178, 4664, 1175, 676, 2933, 2496, 20597, 23124, 918, 8692, 6308, 267, 513, 3659, 540, 23600, 267, 3576, 513, 1582, 14428, 582, 1748, 602, 8913, 13949, 693, 1082, 12271, 269, 1879, 649, 1413, 693, 1010, 4605, 267, 649, 1522, 1745, 4448, 547, 1864, 1317, 649, 1294, 1483, 7553, 538, 1010, 4064, 269, 1306, 649, 3356, 998, 713, 1770, 267, 649, 786, 1865, 875, 1148, 3029, 899, 10344, 666, 2769, 4606, 543, 4555, 11617, 780, 1262, 6962, 4373, 1103, 713, 1770, 267, 649, 4121, 827, 5691, 30145, 267, 1558, 2199, 10564, 31444, 919, 267, 543, 4362, 875, 10344, 13462, 721, 14156, 269, 1284, 4126, 596, 10150, 3695, 891, 4241, 3344, 540, 2575, 543, 6575, 269, 5457, 267, 972, 616, 9118, 2081, 547, 5660, 543, 4497, 609, 519, 3860, 1568, 1472, 721, 269, 5901, 707, 2247, 1930, 543, 9784, 1169, 4316, 547, 23365, 3054, 538, 519, 4190, 1158, 540, 6575, 543, 2528, 256, 0, 2080, 568, 606, 1349, 689, 513, 2546, 912, 257, 11390, 903, 2349, 770, 689, 3798, 918, 8735, 1299, 14886, 5988, 476, 279, 267, 476, 1708, 272, 454, 15578, 26395, 22076, 19154, 17129, 20978, 11581, 918, 305, 3198, 292, 6730, 674, 6020, 2894, 9169, 454, 25539, 16576, 308, 14473, 476, 279, 267, 476, 1708, 272, 454, 18217, 5588, 292, 2433, 901, 17136, 949, 12446, 3807, 607, 519, 8111, 289, 25717, 3399, 338, 282, 865, 540, 1576, 6902, 952, 596, 616, 513, 25624, 27684, 15439, 16440, 547, 3367, 1310, 519, 10794, 1040, 8170, 6092, 1403, 596, 798, 7046, 621, 543, 1616, 547, 3136, 2663, 6902, 3274, 19171, 519, 17136, 543, 1287, 15439, 1234, 14114, 5155, 519, 19693, 13555, 661, 5336, 841, 602, 519, 5988, 476, 279, 628, 269, 17136, 595, 877, 3414, 563, 2171, 1376, 1055, 1142, 17136, 609, 938, 8048, 1855, 848, 16071, 630, 10376, 17421, 786, 11724, 513, 3171, 1155, 538, 713, 17136, 1040, 2991, 1452, 8048, 16071, 786, 581, 938, 28315, 1412, 10135, 3041, 3041, 595, 7728, 2207, 257, 261, 3973, 20231, 30007, 543, 6348, 17455, 2438, 7698, 4024, 2142, 3171, 25733, 1862, 6781, 913, 2433, 589, 8682, 7353, 1748, 3144, 676, 4787, 23124, 918, 8692, 6308, 799, 2731, 512, 13903, 693, 1250, 2295, 5899, 902, 630, 342, 517, 1405, 2491, 1946, 547, 711, 3310, 707, 1491, 1070, 5484, 26858, 5170, 519, 28042, 10022, 834, 24874, 16011, 1715, 28477, 14044, 20837, 532, 19270, 1068, 10022, 630, 28415, 21480, 12989, 1040, 6206, 4639, 781, 13574, 7313, 564, 19846, 622, 27003, 1230, 5797, 25547, 1161, 519, 2817, 7736, 578, 618, 540, 519, 3203, 3171, 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, 28304, 20154, 26647, 1375, 956, 692, 1103, 713, 1576, 1770, 267, 649, 786, 5490, 883, 519, 1950, 3390, 540, 5289, 9620, 1369, 8567, 267, 3226, 607, 621, 25701, 547, 1762, 4079, 10188, 741, 5132, 538, 3318, 5468, 269, 3414, 606, 6514, 540, 4143, 2013, 2090, 267, 13400, 10752, 267, 543, 4207, 5380, 267, 649, 2832, 547, 16491, 1053, 609, 519, 2645, 2556, 547, 2226, 513, 2178, 5289, 5748, 9624, 1761, 14488, 780, 296, 269, 4197, 20154, 26647, 1375, 956, 454, 288, 269, 9502, 540, 20154, 26647, 1375, 956, 454, 306, 2869, 3770, 9620, 3277, 547, 4835, 7526, 4810, 676, 2043, 950, 12394, 547, 31363, 2123, 4978, 267, 2418, 267, 543, 2833, 609, 1346, 15469, 676, 3909, 3906, 610, 2950, 269, 1452, 9620, 666, 8915, 2933, 998, 5042, 4744, 28585, 267, 4606, 540, 16203, 610, 17847, 267, 543, 1514, 10072, 563, 289, 269, 9537, 540, 20154, 26647, 1375, 956, 454, 272, 269, 2271, 571, 17304, 603, 18366, 910, 2598, 698, 872, 906, 1063, 2818, 540, 519, 1482, 5132, 3823, 14985, 267, 2259, 267, 610, 7664, 540, 10723, 5931, 563, 273, 269, 3955, 17304, 603, 570, 3290, 910, 674, 9689, 3361, 676, 4205, 609, 740, 6254, 338, 540, 824, 10764, 610, 3661, 1949, 563, 274, 269, 9608, 9197, 2478, 540, 18321, 910, 11270, 338, 540, 8969, 267, 10539, 267, 610, 10462, 827, 835, 781, 1378, 3909, 31710, 563, 275, 269, 24498, 4964, 999, 910, 3213, 2075, 542, 610, 12879, 25116, 2390, 2043, 547, 14883, 547, 1808, 3909, 6788, 610, 2853, 563, 290, 269, 19978, 6201, 540, 20154, 26647, 1375, 956, 454, 272, 269, 3627, 519, 23837, 630, 31861, 476, 1556, 281, 273, 268, 277, 264, 910, 8935, 321, 1206, 827, 4906, 262, 3961, 1247, 29802, 563, 273, 269, 7338, 630, 11990, 476, 736, 281, 2190, 268, 3066, 264, 910, 22490, 15889, 6169, 540, 2441, 781, 24446, 1354, 18468, 563, 274, 269, 16763, 630, 297, 984, 476, 272, 268, 273, 282, 476, 5655, 264, 910, 7726, 539, 2696, 781, 5126, 543, 16285, 1739, 1713, 2123, 2530, 780, 2862, 269, 19484, 31071, 27302, 21673, 725, 454, 288, 269, 13751, 19047, 454, 17138, 23446, 540, 519, 6406, 7126, 2920, 540, 476, 3422, 275, 10238, 1080, 12820, 689, 5806, 3215, 1996, 5520, 1759, 593, 4984, 269, 901, 2882, 8506, 7589, 538, 3909, 2238, 971, 607, 11755, 11401, 269, 31740, 949, 7662, 10257, 22581, 585, 741, 25442, 569, 4371, 3909, 4978, 1510, 4250, 540, 1427, 531, 2747, 563, 289, 269, 21344, 9608, 27801, 338, 543, 12333, 744, 4565, 580, 725, 454, 272, 269, 7046, 9442, 910, 18124, 4145, 31635, 2943, 7682, 1947, 547, 19217, 832, 610, 15679, 13222, 563, 273, 269, 16418, 532, 8081, 910, 13693, 11967, 9164, 267, 23003, 267, 610, 5289, 31548, 585, 5583, 543, 19015, 563, 274, 269, 11657, 5549, 6342, 910, 19321, 5638, 540, 1022, 8320, 1141, 9036, 11755, 6788, 26418, 2390, 2123, 4978, 780, 7656, 269, 15043, 26504, 538, 519, 8131, 540, 1520, 951, 640, 454, 288, 269, 4980, 22899, 513, 16200, 18378, 20154, 7690, 454, 272, 269, 8617, 23075, 5530, 910, 18918, 9846, 609, 13654, 4168, 5931, 899, 519, 6426, 543, 2263, 1585, 16627, 543, 12496, 563, 273, 269, 27302, 995, 14506, 910, 667, 539, 6510, 942, 3232, 585, 14719, 894, 2792, 609, 2696, 267, 11589, 14696, 267, 21936, 532, 585, 7326, 267, 543, 5275, 24176, 563, 274, 269, 674, 29183, 24956, 545, 17716, 910, 19372, 4296, 609, 8284, 10271, 945, 2671, 2147, 2418, 543, 17050, 267, 3246, 8994, 1489, 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 ]
[ 0, 5994, 596, 2811, 513, 11290, 945, 2337, 1004, 1832, 741, 1159, 3796, 2635, 543, 6505, 256, 1306, 649, 2085, 267, 2921, 1416, 540, 938, 4522, 3587, 1256, 811, 1271, 269, 2334, 781, 1141, 12908, 12278, 25185, 2501, 538, 910, 621, 781, 519, 20614, 602, 6212, 593, 5711, 1072, 585, 4587, 4079, 269, 4653, 267, 1577, 781, 1451, 827, 835, 3579, 5647, 538, 713, 2361, 1572, 834, 718, 6823, 29930, 5959, 18032, 3010, 3086, 267, 1018, 798, 596, 1589, 834, 718, 6823, 29930, 257, 1797, 286, 898, 4992, 899, 1945, 689, 513, 15705, 7260, 267, 1318, 26834, 4270, 267, 2965, 267, 2473, 6763, 585, 519, 1297, 540, 18032, 2877, 267, 799, 666, 2039, 689, 476, 275, 547, 476, 279, 269, 901, 1505, 13071, 24782, 5372, 1896, 7508, 4522, 610, 2898, 5036, 540, 4522, 1210, 1152, 513, 1906, 18032, 269, 15346, 267, 26001, 2496, 4131, 803, 2491, 875, 891, 9589, 18032, 960, 269, 3689, 267, 707, 11290, 786, 1747, 6263, 25336, 630, 1492, 18032, 264, 883, 707, 10265, 14752, 1282, 513, 5634, 6391, 269, 3683, 942, 267, 891, 25336, 25146, 609, 707, 5642, 267, 2870, 2178, 12979, 832, 585, 1007, 10682, 4522, 269, 2991, 7067, 267, 707, 11290, 1140, 2851, 5841, 4522, 547, 1346, 12979, 832, 267, 4758, 596, 1394, 707, 4190, 12837, 2439, 1607, 4480, 729, 11827, 676, 3220, 269, 6754, 334, 5689, 6759, 267, 513, 13085, 11290, 689, 17577, 269, 27009, 267, 621, 781, 3833, 4583, 1851, 1312, 2550, 543, 5959, 4648, 538, 519, 7330, 269, 1411, 1522, 4898, 1946, 2576, 1131, 3442, 782, 6823, 29930, 936, 2834, 7301, 4522, 269, 4279, 2243, 256, 1452, 2688, 13402, 18032, 1413, 543, 1745, 1454, 811, 2067, 982, 2757, 3283, 269, 9578, 267, 789, 948, 2061, 10265, 14752, 2530, 267, 5329, 8188, 3168, 7820, 543, 18668, 780, 3383, 267, 1018, 1281, 713, 1611, 585, 2104, 24782, 899, 9358, 286, 17006, 971, 5574, 547, 707, 2259, 1223, 4324, 1312, 596, 543, 707, 2550, 269, 2986, 1576, 267, 972, 616, 3790, 3238, 538, 1565, 543, 5356, 713, 3028, 267, 855, 4952, 1373, 2111, 547, 1689, 2576, 781, 1272, 676, 19620, 741, 8746, 12837, 256, 1215, 15813, 1131, 8946, 2969, 581, 2496, 2026, 596, 3460, 998, 1647, 1153, 543, 3564, 267, 3314, 602, 11678, 538, 3782, 2709, 11995, 3255, 547, 3048, 622, 543, 2087, 2729, 1107, 2523, 950, 621, 2501, 547, 4543, 938, 22242, 2972, 741, 11344, 1296, 609, 6126, 267, 2635, 1159, 3796, 256, 0, 2080, 568, 606, 1349, 689, 513, 2546, 912, 257, 5472, 6823, 29930, 5959, 18032, 616, 4742, 5051, 2442, 538, 519, 5959, 2361, 269, 634, 5650, 2636, 24782, 547, 5372, 2789, 4522, 610, 3003, 30617, 609, 1175, 513, 1906, 18032, 269, 2353, 6823, 268, 275, 10378, 568, 519, 17587, 4437, 665, 732, 2389, 2784, 655, 1046, 539, 2012, 585, 519, 2126, 267, 855, 782, 6823, 29930, 568, 519, 4122, 7608, 13598, 2165, 269, 634, 968, 311, 892, 4016, 547, 519, 1297, 540, 18032, 267, 799, 666, 581, 2185, 610, 811, 267, 782, 519, 1259, 909, 547, 5216, 563, 763, 2126, 1935, 729, 2919, 676, 14082, 11290, 6754, 334, 5689, 6759, 267, 272, 543, 621, 814, 1831, 4922, 6444, 676, 2550, 543, 5959, 7426, 538, 519, 2136, 2276, 269, 2060, 1344, 4922, 2139, 593, 713, 2126, 543, 930, 2550, 1256, 31392, 621, 267, 1082, 24782, 616, 11842, 952, 782, 6823, 29930, 18032, 1223, 581, 513, 1434, 3514, 585, 741, 2853, 543, 741, 2550, 563, 3674, 519, 2353, 6823, 29930, 26488, 9406, 585, 2659, 6657, 888, 763, 782, 6823, 29930, 15498, 2126, 666, 581, 513, 3730, 543, 29988, 1840, 547, 513, 5959, 2259, 267, 855, 621, 568, 1271, 547, 1174, 519, 5092, 538, 942, 543, 2724, 621, 3217, 547, 6707, 6338, 1775, 3010, 2237, 606, 2502, 543, 3015, 1576, 1770, 538, 513, 1837, 585, 1647, 1153, 1053, 1644, 547, 519, 1349, 1657, 267, 2519, 593, 834, 294, 518, 12278, 19239, 3588, 257, 607, 851, 540, 834, 25503, 1315, 19239, 3588, 1315, 15482, 30719, 2668, 634, 1543, 1058, 581, 3358, 585, 1647, 1153, 1053, 1510, 1991, 1702, 540, 519, 1888, 780, 2521, 547, 1384, 268, 3629, 2143, 3137, 267, 2057, 2930, 3822, 267, 543, 1459, 519, 2093, 538, 513, 3551, 267, 2239, 3159, 563, 268, 3417, 1806, 547, 1118, 519, 1641, 3839, 543, 3078, 585, 1762, 1647, 1153, 1053, 563, 268, 3680, 4304, 519, 1357, 1349, 538, 519, 1837, 269, 1684, 711, 1331, 513, 2140, 610, 2606, 2453, 269, 3399, 1603, 519, 1543, 2047, 269, 0, 8080, 547, 938, 3460, 998, 519, 1158, 540, 2093, 256, 901, 1576, 786, 6338, 596, 547, 930, 2462, 2035, 899, 519, 834, 12221, 1968, 6575, 2437, 799, 1522, 3280, 16681, 543, 7294, 267, 855, 621, 781, 2731, 1175, 827, 3695, 1114, 2081, 540, 3168, 693, 519, 1158, 1472, 721, 269, 1924, 1577, 781, 4685, 1318, 538, 2439, 5575, 1055, 267, 1018, 616, 519, 12666, 6575, 286, 5994, 596, 723, 513, 1907, 7901, 267, 543, 3330, 713, 1907, 7901, 267, 972, 616, 782, 12204, 540, 2645, 602, 948, 596, 1174, 1919, 1732, 1107, 2645, 585, 6998, 2055, 267, 1818, 8906, 267, 543, 4687, 707, 4555, 609, 1866, 269, 2334, 781, 4010, 1018, 519, 12666, 6575, 798, 256, 1358, 2285, 721, 1585, 2409, 630, 528, 834, 332, 3941, 8442, 585, 6313, 519, 1158, 865, 649, 666, 1332, 883, 8049, 267, 1134, 25454, 2043, 780, 3086, 267, 4952, 1373, 851, 540, 513, 1507, 1895, 540, 17701, 593, 513, 1391, 547, 1451, 1007, 1983, 269, 2311, 519, 1376, 540, 707, 7045, 267, 596, 2097, 1927, 538, 513, 18241, 4055, 630, 20365, 1360, 1378, 834, 5575, 268, 17413, 12054, 14373, 20257, 1411, 2743, 707, 8797, 543, 7874, 3391, 945, 12857, 596, 547, 519, 4241, 7706, 540, 2093, 543, 7512, 3025, 547, 2671, 741, 8369, 16175, 269, 2060, 942, 267, 596, 1265, 3054, 4742, 811, 8746, 950, 11589, 707, 4555, 543, 5355, 707, 2702, 547, 2328, 543, 3717, 5693, 269, 16319, 7168, 3579, 267, 3085, 1405, 621, 2496, 2026, 596, 3136, 2059, 713, 2619, 540, 6602, 267, 596, 3513, 7237, 2947, 2189, 12331, 540, 14374, 269, 3962, 835, 2488, 922, 2027, 7828, 547, 2070, 519, 1158, 8335, 269, 2913, 803, 2995, 596, 827, 1142, 7154, 1210, 1187, 1806, 1384, 272, 269, 2878, 23208, 5811, 5093, 6056, 540, 713, 607, 1373, 513, 19792, 26500, 10881, 689, 519, 2250, 269, 1635, 4974, 1686, 267, 649, 4137, 856, 875, 1004, 5030, 1279, 3516, 267, 1946, 789, 1500, 1978, 5079, 267, 543, 875, 1346, 3664, 3337, 938, 2729, 2221, 269, 1280, 3236, 267, 1705, 596, 917, 602, 3504, 14564, 4769, 1405, 946, 585, 802, 1317, 789, 9053, 838, 9398, 543, 31009, 3079, 286, 2052, 596, 1589, 540, 1022, 4128, 1946, 713, 1522, 581, 888, 273, 269, 2878, 24145, 776, 28604, 5093, 898, 781, 899, 11362, 2212, 14140, 883, 513, 1434, 1433, 543, 3843, 547, 12260, 519, 11580, 6456, 1063, 922, 3817, 269, 9085, 2337, 721, 2263, 1480, 2833, 267, 4664, 267, 543, 4529, 1247, 26354, 938, 9345, 269, 5620, 596, 2479, 1224, 513, 1650, 1141, 1945, 5949, 267, 855, 596, 14201, 1405, 3833, 2386, 1018, 519, 2278, 5921, 676, 621, 286, 2334, 781, 5339, 7664, 693, 960, 2336, 274, 269, 2878, 26199, 27148, 5093, 17451, 9289, 875, 3744, 4194, 13655, 827, 519, 2067, 1158, 286, 3414, 6297, 8343, 267, 6901, 267, 543, 1239, 2079, 267, 3621, 7634, 13071, 721, 2626, 8781, 2055, 899, 834, 3963, 1281, 519, 7599, 1689, 3337, 8119, 610, 834, 1692, 798, 2371, 1118, 5135, 24350, 275, 269, 2878, 23797, 5511, 25705, 5093, 10606, 616, 10876, 256, 26592, 7744, 11414, 721, 875, 547, 1293, 267, 5635, 267, 543, 4612, 10230, 1344, 269, 3245, 23115, 856, 952, 707, 27108, 568, 2614, 547, 4444, 513, 1007, 3381, 3014, 547, 1620, 11708, 6029, 2837, 2242, 936, 942, 267, 891, 1983, 616, 2706, 1271, 538, 4948, 1272, 563, 276, 269, 2878, 9209, 2065, 20309, 5093, 27065, 814, 1100, 23451, 256, 3203, 2065, 4082, 2636, 721, 547, 5968, 4606, 267, 2984, 267, 543, 6835, 998, 1585, 3029, 971, 607, 7206, 267, 2575, 267, 7544, 267, 14364, 267, 10344, 267, 543, 1082, 811, 269, 1548, 2186, 540, 1148, 798, 9358, 2972, 2870, 2496, 30509, 689, 13215, 891, 12331, 540, 14374, 267, 972, 781, 1776, 3078, 4161, 7996, 585, 596, 910, 11264, 7121, 4170, 269, 5213, 1405, 5855, 282, 621, 781, 711, 607, 25254, 607, 621, 4992, 256, 1452, 6688, 3382, 5396, 899, 2296, 267, 2979, 267, 2257, 267, 1514, 2090, 267, 4914, 4654, 267, 543, 5386, 6575, 269, 1635, 18167, 4514, 883, 891, 2127, 267, 596, 3513, 1831, 513, 11684, 15226, 4712, 547, 1491, 593, 8726, 2501, 1985, 2439, 3383, 31617, 909, 267, 1250, 8284, 7045, 3464, 256, 1284, 2811, 827, 547, 7832, 593, 606, 6909, 22116, 4904, 609, 7279, 267, 5876, 267, 543, 2565, 3206, 269, 3657, 596, 4712, 547, 9784, 519, 12666, 6575, 1259, 540, 1565, 543, 3605, 519, 9059, 15720, 1369, 6000, 543, 519, 1158, 1472, 721, 286, 0, 2080, 568, 606, 1349, 689, 513, 2546, 912, 257, 7072, 1299, 15099, 11137, 454, 4263, 519, 2295, 540, 519, 19186, 542, 15232, 568, 606, 6457, 1302, 18398, 7029, 547, 519, 12666, 6575, 269, 19186, 542, 779, 4295, 6437, 568, 513, 1982, 540, 1565, 602, 568, 15748, 609, 519, 3689, 268, 17413, 12054, 14373, 543, 19411, 919, 609, 519, 24705, 2590, 540, 519, 20277, 779, 4110, 269, 4841, 2253, 741, 4081, 11678, 538, 513, 3689, 268, 17413, 12054, 14373, 2966, 547, 24559, 873, 609, 519, 12666, 6575, 2245, 538, 606, 15982, 4928, 1604, 602, 11942, 1930, 2792, 267, 10114, 999, 2565, 3206, 267, 543, 8992, 6454, 538, 1603, 543, 6340, 269, 19186, 542, 568, 8149, 547, 2348, 1053, 2347, 741, 15938, 2069, 609, 606, 1995, 602, 6770, 15364, 267, 25843, 543, 1445, 547, 741, 4081, 1576, 960, 543, 602, 3322, 519, 1053, 2933, 267, 4166, 3562, 15515, 20021, 267, 607, 3610, 267, 4863, 2209, 543, 1459, 619, 563, 27001, 519, 3689, 268, 17413, 12054, 14373, 543, 22692, 267, 1053, 2347, 824, 4295, 6030, 281, 2947, 3525, 525, 540, 769, 11431, 6030, 543, 2185, 7121, 4170, 269, 1452, 4172, 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, 6637, 476, 280, 281, 6936, 17235, 910, 4197, 5029, 1242, 17235, 692, 5970, 596, 2479, 4862, 540, 519, 2165, 834, 23457, 6760, 22172, 9320, 596, 4312, 2938, 621, 538, 9413, 610, 7641, 2982, 267, 1141, 20737, 1106, 2516, 547, 3479, 10963, 1927, 269, 1809, 1018, 1281, 6896, 6760, 2731, 1611, 286, 1656, 875, 1281, 621, 1860, 938, 1158, 2221, 286, 2913, 781, 2263, 891, 2055, 543, 1451, 811, 827, 3020, 6760, 2439, 1432, 568, 5029, 1242, 17235, 888, 10900, 692, 16391, 1242, 6760, 4016, 547, 5571, 7803, 2534, 5645, 856, 676, 2516, 540, 2043, 269, 1452, 2516, 960, 1927, 547, 1544, 543, 14892, 10363, 2238, 971, 607, 3075, 19338, 267, 9604, 1159, 10212, 1782, 267, 2724, 561, 879, 837, 532, 267, 543, 12611, 269, 1358, 1419, 7500, 2066, 10665, 543, 946, 5208, 543, 12932, 9179, 547, 2149, 741, 1379, 543, 12434, 780, 3080, 1383, 540, 606, 6896, 6760, 1895, 2501, 689, 8109, 2342, 269, 634, 6739, 631, 2378, 807, 267, 849, 1634, 607, 519, 5696, 520, 9366, 267, 568, 835, 540, 519, 1034, 3532, 543, 21787, 6896, 6760, 2516, 538, 519, 1158, 269, 4813, 539, 1282, 519, 8168, 5736, 267, 519, 5696, 520, 9366, 814, 6738, 883, 513, 5318, 3060, 609, 4296, 782, 936, 519, 8608, 780, 763, 12856, 540, 5029, 1242, 17235, 20492, 454, 5785, 19030, 7197, 6896, 6760, 2516, 1246, 513, 21712, 2497, 267, 1454, 899, 513, 1870, 269, 2311, 519, 1283, 568, 519, 20148, 267, 945, 2306, 1271, 3664, 543, 3947, 9753, 269, 12989, 873, 616, 896, 321, 1601, 525, 267, 3061, 1622, 267, 7980, 267, 543, 27498, 945, 4163, 856, 4247, 543, 948, 2196, 519, 3919, 269, 3962, 4759, 6487, 741, 1909, 543, 5205, 7453, 3652, 547, 2226, 1931, 543, 9658, 1097, 780, 3963, 1684, 4658, 15012, 5029, 1242, 17235, 20492, 888, 14343 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 5969, 1394, 14694, 8371, 269, 1403, 3441, 689, 2842, 610, 15420, 3123, 1930, 2127, 267, 596, 666, 32566, 14694, 8371, 547, 6445, 538, 519, 10616, 269, 1411, 949, 849, 991, 547, 32566, 8371, 602, 616, 1958, 549, 2286, 593, 15231, 3959, 563, 12648, 519, 942, 547, 1451, 513, 2030, 779, 2067, 2208, 6208, 543, 5000, 2208, 538, 602, 4287, 269, 1280, 3106, 4128, 267, 2705, 267, 972, 949, 581, 2053, 950, 596, 949, 723, 547, 14207, 519, 2067, 2208, 6208, 540, 513, 2030, 563, 2690, 1383, 267, 950, 8371, 1223, 2014, 3441, 547, 3889, 593, 707, 3959, 610, 1223, 2097, 883, 3346, 609, 1379, 3515, 267, 891, 8371, 1058, 581, 6569, 269, 11408, 16926, 513, 3318, 547, 4894, 8371, 3395, 538, 891, 2175, 267, 1317, 789, 917, 875, 547, 32566, 873, 9108, 563, 15919, 267, 596, 666, 2057, 3106, 10898, 15587, 950, 596, 946, 1697, 18309, 5773, 269, 2398, 12941, 7157, 786, 1711, 543, 2226, 513, 2178, 3529, 2497, 267, 543, 9004, 3106, 10898, 971, 607, 1970, 3395, 8371, 2282, 1164, 6808, 2127, 899, 513, 5397, 3118, 610, 2427, 19769, 563, 7468, 2317, 15496, 19211, 543, 4054, 547, 16578, 2371, 547, 1332, 811, 8371, 267, 799, 786, 2333, 519, 2450, 543, 2179, 540, 5810, 3812, 269, 1411, 666, 798, 713, 676, 8930, 4221, 519, 9843, 1055, 27503, 2371, 1354, 789, 2253, 547, 16036, 563, 9961, 519, 3395, 4005, 267, 27503, 2371, 666, 581, 2759, 1394, 2789, 2053, 269, 2991, 28480, 267, 519, 2371, 666, 581, 929, 25293, 1586, 547, 5000, 519, 2504, 540, 1007, 5810, 269, 6787, 707, 2030, 568, 21064, 610, 606, 5993, 267, 513, 2370, 2038, 4005, 18309, 666, 1118, 782, 519, 3017, 1063, 513, 2030, 602, 568, 3274, 17005, 543, 835, 602, 29263, 563, 2690, 4829, 4054, 267, 18309, 1058, 581, 5340, 12422, 269, 1677, 5000, 4829, 2504, 267, 3735, 5162, 568, 519, 1655, 942, 547, 32566, 707, 4829, 4054, 269, 2398, 2317, 4430, 3574, 689, 4829, 4054, 547, 23365, 3384, 4829, 538, 7943, 269, 14190, 532, 1769, 547, 23309, 519, 3003, 2030, 2306, 513, 3017, 538, 519, 2450, 543, 8137, 540, 513, 3529, 779, 4829, 563, 763, 1655, 18309, 2853, 1445, 593, 519, 1072, 540, 519, 2030, 1101, 267, 543, 15312, 2034, 269, 1635, 9427, 8371, 602, 6299, 1927, 267, 1022, 7936, 20839, 338, 267, 543, 4666, 267, 8697, 267, 610, 30428, 8371, 267, 519, 3003, 3529, 666, 3136, 547, 1332, 2178, 543, 2635, 563, 2005, 779, 513, 1455, 31605, 602, 782, 596, 991, 547, 32566, 519, 2371, 538, 707, 13452, 568, 513, 18309, 4718, 610, 513, 5832, 4718, 269, 1306, 513, 3318, 30120, 1870, 267, 649, 1294, 811, 4054, 10032, 610, 7166, 1169, 1032, 689, 18309, 32657, 2355, 982, 649, 798, 10860, 610, 2068, 269, 3680, 891, 18309, 9073, 547, 2327, 513, 5251, 2407, 540, 2295, 344, 2371, 912, 288, 2603, 540, 1004, 2972, 512, 2056, 547, 741, 3959, 543, 1256, 1265, 18309, 16990, 269, 1809, 952, 596, 1810, 1406, 723, 519, 942, 547, 32566, 950, 707, 2371, 991, 519, 1416, 267, 610, 596, 1810, 1406, 917, 875, 547, 2057, 4617, 2798, 538, 2371, 543, 5000, 15496, 543, 2927, 1746, 267, 596, 949, 1439, 909, 3257, 811, 2800, 950, 16013, 2719, 707, 4054, 543, 2371, 982, 1434, 563, 2252, 596, 1544, 547, 798, 519, 18309, 3054, 267, 3314, 602, 1697, 1416, 3322, 942, 267, 4074, 267, 543, 606, 5092, 538, 2298, 18309, 3937, 899, 1352, 1513, 267, 2879, 2354, 267, 543, 23805, 269, 10598, 22162, 547, 32566, 609, 519, 1318, 2645, 693, 519, 1318, 942, 666, 1267, 538, 4054, 543, 10874, 787, 2371, 602, 1831, 936, 326, 3497, 267, 543, 616, 11630, 547, 10860, 267, 2068, 267, 543, 824, 6937, 269, 769, 519, 2013, 540, 4829, 4054, 267, 936, 29115, 2164, 538, 4389, 4829, 2504, 1932, 563, 7197, 1753, 610, 1870, 5411, 3274, 798, 711, 723, 519, 3937, 267, 1995, 267, 610, 942, 547, 32566, 7157, 269, 1635, 1904, 532, 547, 16926, 513, 30120, 2754, 585, 707, 3959, 779, 18309, 2115, 267, 596, 666, 4688, 3054, 519, 2566, 267, 942, 267, 543, 1648, 540, 3843, 547, 798, 621, 7157, 3054, 563, 4263, 654, 732, 14924, 25597, 267, 938, 4810, 2319, 540, 4648, 1568, 2182, 547, 7118, 543, 2226, 606, 14222, 10639, 1851, 938, 5561, 269, 1284, 616, 8149, 547, 17306, 519, 15312, 543, 10342, 540, 1169, 3959, 649, 616, 21534, 547, 1416, 585, 563, 5978, 3804, 568, 547, 1118, 707, 5326, 3959, 5920, 513, 4641, 676, 3246, 4274, 15989, 1416, 2533, 602, 9192, 5251, 5826, 543, 1697, 18309, 269, 3776, 13653, 267, 19375, 654, 732, 267, 543, 1010, 2319, 849, 948, 4213, 543, 21427, 538, 715, 1653, 6807, 267, 9628, 267, 543, 519, 4478, 2127, 609, 12775, 3435, 267, 16538, 1769, 10380, 267, 15989, 544, 12976, 267, 543, 18290, 6604, 607, 1134, 563, 2252, 707, 3804, 568, 547, 723, 513, 7524, 9205, 2230, 602, 7140, 9843, 267, 649, 616, 9599, 547, 1865, 875, 649, 666, 948, 596, 9585, 602, 269, 654, 732, 14924, 25597, 568, 8746, 602, 938, 960, 786, 9765, 707, 6788, 269, 1879, 596, 16926, 938, 30120, 4648, 267, 596, 3442, 30856, 2533, 689, 513, 1920, 24804, 543, 13234, 1870, 602, 568, 13730, 827, 3246, 5140, 6075, 3028, 563, 4263, 654, 732, 14924, 25597, 267, 938, 2319, 1281, 811, 982, 1175, 1491, 519, 31484, 548, 540, 15989, 1416, 1055, 707, 3946, 269, 1284, 616, 8149, 547, 5355, 707, 2298, 540, 1272, 267, 543, 649, 798, 602, 538, 1082, 2081, 267, 689, 2679, 9205, 6539, 29353, 547, 2870, 513, 10875, 1273, 1470, 585, 596, 547, 2972, 563, 23086, 721, 547, 1451, 811, 827, 938, 2533, 543, 1946, 865, 1082, 4213, 543, 21427, 723, 11967, 721, 585, 936, 513, 8717, 609, 741, 13452, 543, 30120, 2115, 269, 11910, 721, 693, 630, 30697, 264, 476, 6434, 275, 268, 6872, 280, 278, 2221, 269, 0, 2467, 616, 1082, 3096, 585, 16629, 340, 541, 2088, 3574, 267, 6306, 689, 922, 10626, 607, 606, 4998, 2707, 540, 4492, 269, 16629, 340, 18288, 553, 616, 5140, 585, 30120, 267, 5070, 321, 4193, 267, 2842, 3691, 6545, 538, 29436, 1150, 2722, 543, 267, 1657, 782, 267, 585, 6917, 2777, 4070, 8506, 20522, 3574, 269, 16629, 340, 18288, 553, 616, 9833, 607, 6687, 17123, 4054, 267, 8506, 1100, 2027, 3114, 11378, 610, 989, 1258, 5669, 2853, 547, 6318, 1804, 24914, 593, 513, 28795, 6578, 269, 9314, 538, 519, 946, 540, 8732, 340, 18288, 553, 607, 6687, 17123, 4054, 568, 711, 20083, 609, 3160, 15131, 585, 1312, 4909, 543, 4294, 1382, 269, 901, 11609, 1257, 814, 1044, 2966, 543, 2854, 547, 3142, 1753, 782, 3344, 540, 519, 7350, 267, 30953, 267, 989, 25348, 267, 3096, 543, 9297, 540, 14713, 609, 2101, 8561, 593, 519, 15451, 12205, 602, 1118, 519, 3529, 2249, 1582, 1606, 11211, 609, 2543, 547, 8770, 4170, 563, 21812, 281, 13177, 1299, 14731, 5549, 454, 10831, 540, 3817, 281, 476, 21857, 454, 26574, 281, 476, 26392, 575, 454, 2791, 949, 849, 581, 5461, 538, 2483, 8245, 2952, 15395, 2228, 543, 2628, 693, 519, 4831, 950, 596, 2445, 269, 12232, 538, 6300, 689, 1175, 1079, 3108, 267, 1641, 547, 8244, 563, 14188, 596, 585, 707, 30063, 454, 7312, 1931, 568, 1631, 1373, 9268, 543, 649, 723, 2366, 513, 21533, 4757, 547, 596, 693, 454, 2691, 786, 1250, 1931, 581, 4712, 547, 2445, 888, 16729, 519, 3355, 4757, 267, 596, 786, 581, 30409, 676, 519, 6300, 547, 6166, 602, 707, 6221, 568, 2139, 585, 4015, 563, 24445, 721, 593, 610, 6494, 721, 606, 4757, 693, 454, 19013, 972, 814, 1044, 513, 1966, 609, 707, 1931, 454, 8923, 2119, 1586, 610, 4244, 569, 596, 666, 3346, 707, 6074, 6300, 593, 610, 6494, 721, 606, 4757, 693, 0, 297, 531, 611, 327, 4673, 267, 513, 6390, 281, 808, 531, 611, 327, 5953, 571, 267, 808, 531, 5953, 323, 327, 5953, 571, 267, 808, 8403, 14194, 327, 4673, 267, 808, 8403, 1673, 327, 4673, 267, 808, 531, 611, 327, 5953, 337, 5953, 282, 476, 276, 9502, 4433, 994, 297, 531, 611, 327, 4673, 1797, 1945, 538, 18420, 267, 16130, 267, 13221, 267, 6022, 328, 269, 1403, 596, 1616, 547, 917, 519, 3169, 2495, 267, 1686, 267, 29721, 610, 2296, 8144, 540, 713, 2165, 1287, 2638, 856, 519, 11673, 593, 713, 2985, 269, 5410, 707, 6085, 610, 4704, 547, 513, 1433, 952, 596, 1616, 547, 3565, 547, 713, 5758, 2376, 563, 303, 584, 3570, 543, 898, 8811, 14505, 630, 788, 545, 1686, 994, 297, 531, 611, 327, 5953, 571, 630, 2633, 506, 2633, 366, 2633, 356, 14098, 364, 1040, 1765, 3080, 540, 519, 5722, 2101, 10239, 538, 15662, 504, 5953, 330, 611, 341, 13682, 11985, 267, 2687, 547, 519, 24430, 5953, 327, 777, 584, 5953, 22170, 320, 3184, 476, 10436, 269, 898, 568, 849, 1634, 676, 519, 2012, 15443, 571, 269, 15662, 504, 5953, 330, 611, 341, 13682, 11985, 568, 835, 540, 519, 5722, 10195, 630, 323, 341, 13682, 11985, 1070, 12199, 936, 676, 2405, 327, 5953, 339, 603, 328, 267, 835, 540, 519, 4557, 14930, 540, 30410, 344, 822, 337, 1092, 267, 5067, 540, 590, 341, 5953, 344, 3711, 16852, 9366, 2494, 340, 267, 945, 729, 2813, 676, 23347, 332, 5953, 267, 945, 729, 538, 2490, 2813, 676, 715, 5953, 337, 5953, 5984, 22170, 320, 267, 519, 26968, 762, 782, 12656, 15230, 2215, 867, 658, 1373, 563, 763, 24430, 5953, 327, 777, 584, 5953, 22170, 320, 568, 11008, 2213, 607, 513, 10067, 5953, 20580, 5953, 22170, 320, 267, 543, 729, 8385, 7768, 540, 476, 2190, 267, 1822, 1558, 3740, 18627, 267, 7654, 23608, 689, 1354, 519, 476, 1015, 628, 2540, 269, 898, 568, 7768, 540, 1079, 2694, 543, 590, 19476, 3279, 568, 519, 1292, 15669, 2529, 1830, 281, 27067, 7732, 281, 24430, 5953, 3873, 1790, 584, 5953, 22170, 320, 454, 297, 531, 611, 327, 5953, 571, 630, 2633, 506, 2633, 366, 2633, 356, 14098, 364, 1040, 1765, 288, 7823, 538, 15662, 504, 5953, 330, 611, 341, 13682, 11985, 630, 763, 6532, 540, 15662, 504, 5953, 6390, 1040, 630, 300, 1695, 5953, 321, 327, 5953, 337, 1092, 13225, 13682, 23973, 2742, 3474, 9366, 267, 3848, 476, 1556, 267, 12254, 5633, 476, 1626, 1040, 13126, 281, 21287, 3820, 281, 8830, 23307, 2037, 9871, 320, 4215, 454, 272, 320, 264, 808, 531, 611, 327, 5953, 571, 630, 2633, 506, 2633, 366, 2633, 356, 14098, 364, 1040, 1765, 288, 7823, 540, 15662, 504, 5953, 330, 611, 341, 13682, 11985, 689, 966, 5953, 338, 6072, 282, 14405, 1216, 2141, 689, 4764, 269, 20330, 268, 2608, 23347, 332, 5953, 22170, 21681, 491, 320, 1790, 584, 5953, 22170, 320, 4083, 269, 476, 866, 269, 476, 5952, 268, 10436, 282, 631, 1846, 5984, 1790, 584, 5953, 22170, 320, 476, 14338, 269, 476, 280, 282, 966, 5953, 344, 340, 1790, 584, 5953, 22170, 320, 476, 5392, 269, 476, 8064, 563, 272, 321, 264, 589, 11782, 540, 772, 1485, 320, 14629, 269, 20330, 268, 2608, 631, 1846, 5984, 1790, 584, 5953, 22170, 320, 476, 14338, 269, 476, 736, 563, 273, 264, 808, 531, 5953, 323, 327, 5953, 571, 630, 2633, 506, 2633, 366, 14098, 356, 14098, 364, 1040, 1765, 288, 7823, 540, 15662, 504, 5953, 330, 611, 341, 13682, 11985, 282, 5310, 808, 531, 611, 327, 5953, 571, 630, 338, 18192, 12175, 20330, 268, 2608, 22870, 23973, 22170, 340, 1790, 584, 5953, 22170, 320, 4083, 269, 476, 275, 269, 476, 7830, 563, 763, 8830, 3570, 630, 2633, 359, 27758, 18892, 14098, 352, 267, 1625, 5953, 22170, 553, 264, 4016, 547, 16130, 3332, 8497, 3504, 3127, 779, 5318, 2686, 1686, 267, 1519, 3140, 17691, 267, 3909, 18428, 267, 1585, 6575, 543, 9443, 269, 634, 29933, 30652, 777, 584, 11446, 2698, 936, 476, 6110, 267, 1822, 695, 331, 758, 553, 630, 20470, 7008, 1206, 264, 543, 4266, 547, 693, 2547, 1896, 5553, 14514, 563, 299, 16722, 540, 3127, 543, 13383, 454, 329, 531, 611, 327, 4673, 2433, 630, 332, 4700, 513, 4764, 12641, 3716, 269, 13466, 795, 531, 5953, 323, 327, 5953, 571, 630, 329, 8403, 1341, 740, 327, 5953, 571, 264, 544, 269, 16005, 540, 1216, 282, 13111, 2529, 1830, 281, 17700, 306, 553, 3570, 281, 19270, 1047, 6022, 328, 30165, 9218, 454, 303, 8932, 568, 519, 1893, 540, 519, 17785, 328, 30909, 10440, 267, 799, 568, 519, 10723, 17374, 540, 634, 9545, 5953, 6767, 13221, 543, 3568, 1454, 540, 519, 17700, 779, 4633, 269, 19171, 2917, 1644, 547, 16130, 267, 1312, 4654, 616, 1031, 30430, 1063, 10764, 563, 297, 531, 5953, 323, 327, 5953 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 19284, 11544, 5862, 267, 799, 786, 2285, 596, 513, 18632, 2681, 267, 950, 596, 3575, 782, 519, 4778, 540, 1769, 267, 596, 1205, 3043, 1769, 256, 898, 4523, 782, 519, 942, 269, 634, 3043, 1769, 782, 1472, 721, 2443, 2436, 689, 519, 6129, 610, 689, 513, 2834, 1769, 12712, 321, 2443, 568, 513, 4999, 540, 1114, 11954, 1769, 563, 9989, 11544, 782, 4778, 1118, 3109, 888, 3528, 15007, 267, 519, 1614, 3119, 4778, 538, 19605, 11544, 616, 2699, 267, 3039, 267, 543, 4544, 269, 769, 519, 9000, 540, 1769, 540, 1022, 2681, 267, 519, 1267, 568, 3109, 269, 1403, 782, 1614, 3119, 4778, 540, 1769, 616, 6404, 538, 3160, 17114, 267, 519, 1267, 568, 9243, 630, 326, 2001, 610, 3043, 1916, 1432, 798, 596, 1205, 950, 596, 3575, 782, 5862, 4778, 888, 2005, 568, 606, 4277, 1249, 602, 11544, 782, 540, 519, 15437, 540, 519, 8552, 281, 2060, 19267, 630, 332, 30480, 873, 538, 513, 29984, 264, 3947, 3109, 563, 2691, 782, 476, 278, 4778, 616, 6404, 1927, 888, 763, 7943, 602, 649, 1294, 538, 519, 6607, 568, 2965, 3043, 1769, 269, 6519, 1769, 568, 4646, 676, 519, 4999, 540, 782, 519, 824, 11954, 8279, 1459, 538, 519, 14175, 11312, 563, 1432, 476, 274, 4778, 2052, 2254, 581, 6404, 1927, 888, 27650, 4778, 1331, 2699, 267, 4544, 543, 5835, 269, 12729, 4778, 3112, 581, 6404, 689, 824, 4778, 269, 1358, 616, 519, 2707, 540, 782, 824, 4778, 563, 5978, 23333, 27633, 616, 17335, 3951, 6224, 3633, 538, 28149, 2336, 1432, 568, 519, 23698, 2681, 547, 3575, 888, 296, 2219, 621, 1131, 581, 899, 6960, 610, 3109, 269, 3973, 594, 4280, 1864, 547, 10956, 519, 4603, 543, 649, 1223, 1586, 1205, 519, 4544, 269, 9791, 568, 519, 1034, 2352, 2681, 547, 1118, 267, 543, 649, 1336, 621, 5393, 7123, 267, 865, 602, 1500, 803, 2731, 9599, 267, 543, 649, 1265, 713, 547, 581, 519, 1101, 1007, 4544, 20119, 538, 476, 1220, 1296, 4799, 1432, 1079, 4778, 1118, 3109, 888, 2791, 666, 849, 3575, 6587, 4778, 593, 519, 2681, 8868, 547, 1118, 3109, 267, 899, 2699, 543, 3039, 267, 4544, 543, 10538, 267, 610, 5835, 543, 13711, 269, 9791, 543, 6960, 6404, 1927, 786, 849, 1118, 3109, 269, 1280, 811, 4388, 267, 899, 875, 547, 4188, 519, 1871, 543, 27280, 540, 707, 3109, 5862, 267, 1832, 2542, 2336, 1432, 616, 519, 4778, 540, 519, 22774, 9462, 490, 486, 888, 763, 15437, 540, 519, 22774, 616, 281, 4414, 267, 10538, 267, 5835, 267, 3039, 267, 4544, 267, 967, 15282, 267, 642, 14489, 269, 2052, 596, 1265, 3688, 689, 1472, 519, 2777, 538, 1142, 540, 519, 5722, 15437, 888, 1432, 616, 519, 476, 1321, 22774, 4778, 888, 274, 3119, 4778, 281, 2699, 267, 5835, 267, 543, 4544, 269, 476, 274, 6281, 4778, 281, 10538, 267, 3039, 267, 543, 642, 14489, 269, 476, 277, 24596, 4778, 281, 2699, 11399, 1052, 267, 5835, 11399, 1052, 267, 5835, 25984, 267, 4544, 25984, 267, 4544, 8686, 14489, 267, 543, 2699, 8686, 14489, 563, 7617, 2681, 568, 519, 2547, 18761, 888, 16446, 2681, 568, 519, 2681, 799, 568, 2547, 18761, 269, 4414, 2681, 814, 3476, 20966, 563, 1432, 616, 519, 4686, 560, 5862, 4778, 888, 299, 777, 529, 32303, 25625, 585, 2349, 1132, 454, 299, 777, 529, 22178, 25625, 267, 610, 2067, 3706, 1090, 25978, 267, 568, 513, 4686, 6149, 1031, 538, 1148, 2094, 4165, 18709, 543, 1336, 1152, 538, 519, 10239, 540, 2413, 6377, 15787, 543, 9459, 563, 1432, 4778, 1118, 3109, 888, 2414, 1118, 6986, 3109, 267, 3575, 4544, 267, 4012, 31980, 267, 543, 5835, 538, 3160, 2694, 269, 1411, 666, 1449, 713, 856, 593, 707, 17250, 14950, 282, 2322, 513, 546, 629, 540, 519, 1614, 19267, 593, 707, 14950, 543, 3575, 4778, 609, 513, 5862, 11453, 610, 29984, 17180, 2394, 8236, 513, 3638, 3109, 269, 476, 274, 269, 15331, 609, 11544, 607, 2877, 563, 1432, 1079, 4778, 1118, 6960, 888, 2414, 1711, 513, 2596, 6960, 5862, 267, 3575, 1079, 14911, 4778, 538, 3160, 5666, 269, 7994, 513, 2699, 5862, 543, 513, 3039, 5862, 630, 528, 5835, 5862, 543, 13711, 5862, 267, 610, 4544, 5862, 543, 10538, 5862, 264, 543, 546, 629, 513, 2370, 3787, 540, 1142, 5196, 707, 2627, 547, 3575, 269, 853, 597, 519, 1114, 4778, 609, 707, 29984, 17180, 2394, 621, 3587, 513, 5347, 6960, 563, 3963, 568, 3109, 20248, 711, 513, 2681, 888, 14937, 568, 711, 513, 2681, 282, 513, 3109, 1843, 25309, 782, 519, 4778, 540, 519, 7298, 8552, 543, 9356, 9039, 540, 873, 547, 519, 4064, 269, 634, 15454, 1858, 827, 3109, 281, 589, 3109, 1843, 949, 1413, 3109, 267, 855, 267, 20248, 267, 621, 949, 1869, 581, 10452, 930, 1769, 563, 1432, 4778, 1118, 4154, 888, 763, 1079, 4778, 596, 666, 3575, 547, 1711, 4154, 616, 5835, 543, 6960, 269, 1411, 949, 1039, 811, 4778, 547, 512, 842, 519, 4154, 267, 855, 891, 616, 519, 1079, 3119, 4778, 602, 1118, 4154, 563, 2710, 782, 4778, 1927, 1118, 3043, 888, 19669, 1769, 568, 513, 4999, 540, 782, 4778, 538, 519, 2681, 8552, 269, 898, 814, 782, 519, 4778, 540, 519, 22774, 269, 26157, 3119, 4778, 540, 1769, 899, 2699, 267, 4544, 267, 543, 3039, 5932, 6281, 4778, 281, 5835, 267, 19826, 267, 543, 4012, 31980, 269, 2353, 824, 4778, 666, 581, 7745, 1524, 883, 1114, 10659, 540, 519, 1614, 3119, 4778, 563, 1432, 568, 519, 4686, 560, 2681, 538, 519, 22774, 888, 23325, 568, 835, 540, 519, 4686, 560, 540, 4778, 538, 2470, 269, 4634, 519, 1906, 2831, 543, 2371, 602, 2408, 4544, 1810, 1405, 2965, 2270, 519, 2681, 563, 6701, 972, 12808, 4778, 888, 2467, 616, 606, 12808, 1297, 540, 4909, 4778, 267, 952, 676, 834, 325, 1495, 4442, 257, 596, 1611, 834, 338, 1051, 1537, 2668, 15190, 1537, 4778, 616, 849, 1634, 29101, 607, 22774, 4778, 563, 1692, 1082, 4778, 666, 3425, 1294, 888, 295, 8582, 631, 3198, 312, 23333, 27633, 27114, 670, 9331, 23177, 590, 7417, 286, 12824, 7447, 602, 1034, 3425, 666, 1294, 1472, 835, 2929, 1114, 4778, 269, 901, 568, 1317, 513, 2635, 1480, 3750, 814, 1614, 2010, 540, 13409, 2281, 267, 1142, 540, 799, 666, 11578, 827, 476, 1911, 1114, 2681, 18707, 267, 2179, 532, 547, 1472, 513, 2929, 10659, 563, 6701, 4764, 28647, 1434, 9939, 888, 288, 22774, 568, 1419, 513, 1129, 540, 4126, 267, 519, 5898, 1310, 519, 7088, 267, 513, 1494, 540, 4154, 543, 1434, 19539, 693, 519, 22774, 781, 1439, 269, 1280, 1082, 267, 513, 22774, 11438, 513, 2123, 12572, 2495, 1700, 10517, 6974, 532, 13784, 543, 4763, 267, 606, 782, 15041, 3630, 1424, 3239, 540, 2648, 543, 11505, 563, 3674, 3043, 513, 2681, 610, 711, 888, 5278, 2015, 3043, 547, 581, 513, 2681, 267, 1317, 3043, 1769, 13408, 782, 24698, 593, 519, 7298, 1769, 8552, 269, 1656, 1082, 798, 2015, 3109, 547, 581, 513, 2681, 267, 1317, 596, 9192, 824, 23416, 547, 1711, 621, 593, 1957, 269, 1809, 538, 513, 2930, 2631, 267, 3109, 543, 3043, 616, 711, 4778, 267, 789, 2811, 18707, 269, 1358, 32433, 4778, 563, 3674, 3109, 782, 4778, 538, 835, 888, 1103, 6323, 543, 593, 519, 1769, 8552, 267, 3109, 568, 519, 9000, 540, 2681, 269, 1717, 267, 538, 1148, 267, 3109, 568, 519, 4527, 540, 782, 4778, 269, 769, 8228, 267, 3109, 568, 835, 540, 519, 4778, 2877, 547, 3132, 824, 4778, 563, 1432, 1079, 4778, 1118, 13711, 888, 1432, 5565, 27413, 5269, 31947, 286, 9791, 543, 2699, 1118, 13711, 269, 594, 4363, 596, 1376, 609, 2699, 543, 1287, 7930, 1039, 4544, 547, 621, 269, 898, 3085, 1405, 2339, 1018, 596, 2811, 1210, 267, 2436, 5862, 630, 10175, 5958, 5862, 264, 610, 1426, 7801, 610, 1945, 3116, 267, 519, 1184, 568, 519, 1482, 563, 1432, 1079, 1216, 4778, 1118, 3109, 888, 6624, 5159, 4363, 519, 3044, 3119, 3575, 585, 3109, 281, 14117, 266, 23325, 266, 16446, 269, 0, 763, 4661, 602, 519, 5491, 2238, 540, 519, 13016, 5823, 1058, 581, 27209, 568, 6462, 676, 1896, 8903, 4128, 912, 272, 269, 1401, 528, 4226, 656, 9314, 26162, 281, 9521, 519, 6101, 5823, 799, 568, 14931, 543, 3808, 676, 4013, 1719, 2557, 4808, 267, 519, 13016, 5823, 1419, 10997, 3648, 2362, 1719, 3928, 269, 901, 2306, 24228, 689, 971, 2959, 513, 14427, 26035, 563, 273, 269, 8177, 593, 14205, 902, 543, 11038, 2657, 281, 4400, 1719, 3928, 1611, 602, 10210, 619, 1439, 909, 1065, 11691, 15186, 811, 982, 789, 22666, 269, 901, 711, 1152, 12490, 741, 2883, 1072, 855, 849, 2164, 538, 4389, 9806, 267, 12145, 741, 2104, 2883, 3354, 543, 5092, 3255, 563, 274, 269, 19768, 540, 27943, 744, 951, 697, 281, 634, 13016, 5823, 13333, 1510, 22608, 9431, 23388, 269, 901, 1797, 10210, 619, 616, 693, 513, 2362, 1981, 540, 9991, 883, 7963, 20637, 267, 6849, 15490, 2853, 267, 543, 711, 2348, 3656, 973, 12973, 538, 2013, 540, 13882, 563, 275, 269, 15783, 585, 4112, 334, 5511, 13756, 281, 9453, 13387, 6042, 267, 519, 13016, 5823, 568, 811, 11630, 547, 7518, 5511, 2853, 971, 607, 721, 1722, 610, 10211, 16356, 532, 267, 799, 666, 723, 4049, 4539, 585, 7925, 10210, 619, 563, 276, 269, 8177, 593, 2817, 19004, 281, 1323, 31250, 13016, 23831, 5823, 666, 1291, 547, 513, 18735, 540, 11389, 322, 867, 539, 543, 5732, 3983, 22440, 269, 901, 3668, 540, 11413, 543, 12477, 666, 10460, 11528, 4220, 547, 519, 4182, 779, 6626, 2883, 1062, 563, 277, 269, 3143, 2382, 6627, 8081, 281, 9521, 6101, 2883, 5238, 799, 1419, 1683, 3606, 1489, 267, 5583, 267, 543, 2883, 7924, 7341, 547, 10210, 619, 267, 13016, 32225, 616, 5097, 7443, 12454, 267, 1419, 10714, 532, 519, 6626, 1134, 5630, 540, 741, 7218, 563, 278, 269, 667, 4394, 2422, 540, 31131, 932, 2335, 1564, 281, 1160, 331, 604, 3130, 540, 13016, 23831, 666, 15658, 2043, 689, 1210, 6101, 12948, 9055, 269, 901, 666, 3970, 519, 3262, 540, 2883, 7924, 543, 519, 2640, 2404, 609, 6101, 12948, 267, 971, 607, 5491, 1686, 2679, 563, 1103, 1769, 540, 891, 4128, 267, 621, 3587, 10423, 602, 1167, 15758, 519, 5491, 2238, 540, 519, 13016, 5823, 568, 711, 1152, 6225, 585, 1367, 10210, 619, 855, 849, 2629, 585, 519, 1072, 543, 6617, 540, 519, 6626, 2804, 543, 2883, 1062, 269, 0, 8310, 21213, 593, 5147, 476, 2918, 267, 476, 1708, 274, 454, 13981, 519, 476, 7761, 9253, 752, 21840, 666, 581, 513, 4101, 2943, 14785, 20089, 269, 1452, 476, 7761, 10253, 1106, 519, 5748, 540, 2961, 333, 1738, 2575, 543, 1620, 873, 568, 2629, 585, 1022, 14971, 22459, 269, 1677, 2253, 267, 24559, 3054, 609, 519, 2596, 2497, 540, 519, 9253, 752, 21840, 1062, 267, 799, 5161, 540, 5722, 4967, 11231, 538, 513, 1808, 4806, 269, 8921, 267, 2259, 7114, 543, 8357, 1944, 1142, 9253, 752, 21840, 4336, 267, 9878, 3007, 547, 519, 2189, 11996, 543, 8984, 2453, 269, 8617, 2259, 267, 6947, 547, 19827, 267, 543, 5275, 5583, 689, 4810, 12372, 786, 7494, 5351, 538, 13215, 519, 476, 7761, 9253, 752, 21840, 269, 2060, 11428, 543, 16177, 267, 596, 666, 12260, 519, 5898, 543, 14960, 540, 2961, 333, 1738, 2575, 998, 519, 1353, 540, 891, 10253, 7868, 476, 7761, 9253, 752, 21840, 616, 513, 4909, 2460, 540, 4095, 8106, 2575, 267, 543, 1565, 873, 666, 7494, 3986, 707, 1620, 543, 7071, 540, 713, 3638, 7574, 2245, 269, 769, 713, 2376, 267, 649, 786, 2263, 519, 4644, 540, 519, 476, 7761, 9253, 752, 21840, 543, 1946, 789, 616, 4502, 4974, 269, 1284, 786, 5490, 883, 519, 2497, 543, 3919, 540, 891, 10253, 267, 543, 4983, 519, 1114, 7648, 543, 3270, 1369, 519, 1062, 269, 3958, 267, 649, 786, 1683, 4388, 543, 2553, 585, 3927, 4974, 543, 8026, 519, 476, 7761, 9253, 752, 21840, 593, 707, 6293, 269, 1635, 519, 1439, 540, 713, 2376, 267, 596, 786, 723, 513, 4514, 1620, 540, 519, 5898, 543, 6988, 540, 519, 476, 7761, 9253, 752, 21840, 543, 519, 2640, 540, 13215, 873, 563, 763, 4644, 540, 519, 476, 7761, 9253, 752, 21840, 538, 4095, 8106, 2575, 454, 268, 634, 476, 7761, 9253, 752, 21840, 616, 519, 4909, 10253, 538, 4095, 8106, 2575, 563, 268, 1358, 1106, 519, 4493, 585, 519, 3003, 5283, 21288, 5943, 540, 4095, 8106, 2575, 563, 268, 4804, 519, 476, 7761, 9253, 752, 21840, 568, 1898, 585, 1022, 3978, 2875, 540, 4095, 8106, 2575, 563, 268, 29923, 519, 476, 7761, 9253, 752, 21840, 2636, 12372, 547, 27906, 1047, 543, 17492, 609, 8897, 563, 268, 3962, 9253, 752, 21840, 814 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 11964, 267, 1519, 14868, 267, 17691, 267, 12563, 2145, 525, 267, 8964, 267, 605, 18690, 267, 678, 26680, 267, 543, 11469, 1000, 8651, 267, 1851, 1866, 269, 3962, 540, 891, 3029, 666, 4196, 607, 8043, 585, 3695, 15851, 2418, 543, 21644, 267, 971, 607, 10100, 543, 22838, 267, 3850, 721, 547, 5490, 4514, 883, 741, 2495, 543, 4644, 998, 2502, 6386, 543, 12300, 2453, 269, 769, 713, 1576, 1770, 267, 649, 786, 2263, 875, 11174, 5708, 538, 519, 7706, 540, 1514, 4798, 543, 2418, 18252, 5711, 3332, 547, 18836, 4245, 540, 10100, 543, 22838, 2390, 922, 5304, 780, 6524, 23312, 2417, 267, 1577, 721, 1101, 12172, 930, 1883, 3344, 540, 5711, 3332, 267, 607, 13890, 538, 519, 3177, 1349, 269, 17327, 3332, 5097, 12346, 593, 519, 9275, 2262, 585, 922, 23425, 267, 8429, 1524, 2984, 543, 7326, 689, 835, 5108, 547, 519, 1985, 1510, 519, 991, 585, 2854, 5638, 269, 2755, 2757, 2409, 540, 23187, 5711, 3332, 3238, 3068, 3562, 19904, 2792, 1063, 2043, 610, 2516, 267, 2413, 2029, 814, 9450, 519, 1761, 18817, 585, 4687, 891, 8941, 267, 6220, 2609, 971, 607, 8301, 19827, 543, 3059, 2923, 5867, 269, 11048, 267, 693, 922, 4295, 267, 5711, 3332, 3788, 16135, 538, 519, 1379, 540, 4633, 267, 5373, 2390, 519, 2189, 7907, 540, 11913, 2792, 1765, 15586, 566, 267, 11733, 267, 8561, 267, 543, 1102, 3005, 23121, 6655, 7553, 267, 5790, 267, 543, 2495, 780, 1103, 6236, 519, 2078, 1063, 5711, 3332, 543, 519, 6249, 540, 10100, 543, 22838, 267, 1896, 2188, 2097, 883, 1404, 269, 3689, 543, 19466, 267, 519, 5420, 3294, 561, 1742, 606, 7915, 2631, 540, 12050, 1145, 543, 4250, 16531, 547, 519, 3197, 1402, 6819, 891, 2984, 269, 2991, 782, 267, 950, 5185, 609, 829, 559, 748, 3871, 610, 18447, 2591, 267, 23233, 1369, 5711, 5389, 1419, 7048, 9003, 593, 741, 18854, 267, 524, 7342, 267, 543, 6418, 4222, 547, 7753, 14488, 269, 1635, 9306, 9458, 609, 12013, 1513, 945, 18220, 10100, 543, 22838, 538, 519, 9000, 540, 5007, 1489, 1949, 267, 971, 607, 4359, 14049, 787, 610, 9589, 6304, 267, 5711, 3332, 19156, 519, 13710, 1761, 540, 759, 5193, 8990, 543, 26772, 8207, 269, 5047, 267, 1813, 547, 519, 29076, 2470, 540, 5711, 2245, 267, 19700, 4749, 7237, 5515, 4171, 3527, 13469, 2066, 942, 543, 2230, 267, 17923, 519, 10206, 602, 6411, 540, 27089, 543, 6830, 3363, 2611, 4143, 543, 11121, 7488, 540, 2686, 2796, 610, 3140, 22184, 780, 3080, 3226, 32330, 1383, 540, 713, 7613, 666, 581, 1336, 538, 519, 4639, 3979, 12473, 540, 9530, 328, 1092, 3223, 7534, 267, 849, 1634, 607, 519, 23193, 3751, 540, 5689, 328, 269, 1306, 13269, 538, 3875, 14906, 1431, 540, 519, 9661, 267, 9530, 328, 1092, 781, 3460, 4724, 4742, 513, 3532, 14610, 3322, 9118, 8062, 543, 5513, 2827, 267, 1282, 799, 646, 1590, 2721, 2390, 1010, 17916, 10100, 543, 4199, 6888, 547, 5150, 11802, 1996, 9583, 31837, 25236, 762, 12918, 269, 3245, 13720, 725, 609, 5256, 14179, 550, 521, 13396, 516, 3464, 547, 8486, 3481, 12959, 1996, 15180, 25267, 267, 9530, 328, 1092, 781, 521, 15676, 20502, 1312, 2168, 23258, 543, 5837, 6439, 3363, 267, 11744, 602, 3020, 5718, 3340, 811, 982, 6071, 19831, 5578, 269, 10801, 519, 2239, 267, 9530, 328, 1092, 9846, 15225, 8296, 543, 21548, 7258, 1010, 22838, 267, 20515, 602, 891, 7592, 616, 711, 20102, 12600, 855, 2864, 14911, 3334, 540, 8098, 10928, 1915, 780, 5194, 8037, 3236, 540, 5711, 3332, 5466, 2152, 540, 10100, 543, 22838, 5526, 538, 7111, 1977, 18691, 267, 1141, 8945, 3122, 5515, 899, 595, 1195, 1774, 610, 681, 13273, 1419, 4497, 538, 29412, 7518, 1080, 2966, 547, 4161, 6392, 267, 1016, 3200, 6788, 267, 543, 6038, 11177, 3666, 547, 519, 1158, 269, 4014, 891, 8941, 949, 711, 15666, 14553, 547, 6671, 8847, 540, 5869, 1143, 267, 789, 18562, 2709, 3407, 4030, 883, 519, 10848, 540, 22838, 543, 922, 1585, 19183, 269, 1280, 1383, 267, 1247, 595, 1195, 1774, 1522, 711, 2141, 957, 1582, 8393, 610, 31719, 267, 1010, 18515, 547, 1219, 344, 15007, 543, 1981, 10751, 14753, 12531, 827, 1010, 2912, 20160, 6891, 543, 30671, 547, 10505, 547, 6848, 8155, 269, 6684, 267, 681, 13273, 781, 4050, 31008, 585, 26760, 543, 3765, 27815, 1517, 625, 513, 2620, 5498, 730, 7029, 547, 5126, 543, 14619, 267, 20872, 1864, 547, 22738, 13818, 13485, 602, 1906, 1866, 1131, 546, 732, 3801, 780, 2026, 23576, 676, 891, 1806, 630, 663, 9118, 1866, 1070, 5711, 3332, 2488, 15417, 2666, 585, 6313, 519, 15491, 2470, 540, 10100, 543, 22838, 267, 18136, 3988, 543, 19700, 7567, 547, 14719, 622, 519, 16221, 2081, 538, 799, 891, 7907, 666, 581, 6829, 267, 16916, 267, 543, 9976, 269, 5015, 267, 676, 32750, 5717, 540, 10100, 543, 22838, 1369, 2502, 6386, 602, 12732, 3309, 4529, 543, 3140, 5712, 267, 5711, 3332, 5849, 602, 922, 6835, 22036, 267, 6949, 908, 609, 1007, 5481, 540, 6267, 1256, 607, 4207, 2486, 5170, 547, 28196, 710, 543, 5368, 614, 13133, 891, 2085, 6040, 16431, 780, 1103, 3932, 267, 519, 1353, 540, 5711, 3332, 3091, 2852, 1053, 513, 5763, 540, 3255, 547, 4983, 10296, 2055, 4478, 519, 12497, 1436, 543, 6041, 540, 10100, 543, 22838, 1369, 11174, 5708, 5059, 593, 1514, 4798, 543, 2418, 269, 3414, 6297, 2079, 540, 2757, 2984, 267, 535, 1963, 267, 3134, 923, 267, 543, 3440, 6758, 267, 5640, 666, 2253, 547, 20559, 3270, 543, 1455, 8017, 602, 22113, 8471, 18408, 3823, 519, 1480, 2783, 267, 17766, 1769, 593, 519, 1898, 1909, 5129, 676, 10100, 543, 22838, 538, 5935, 1367, 9163, 543, 7104, 12583, 269, 3958, 267, 676, 8220, 891, 942, 3620, 517, 1819, 6386, 609, 1699, 3466, 267, 1483, 8996, 3156, 267, 543, 5571, 14046, 9840, 267, 7855, 666, 6536, 2565, 3206, 1983, 267, 3895, 3444, 14426, 1620, 267, 543, 8300, 2104, 5481, 547, 4163, 4464, 519, 9371, 540, 5711, 3332, 607, 513, 4105, 2707, 540, 6667, 543, 5813, 269, 0, 2080, 568, 606, 1349, 689, 513, 2546, 912, 257, 3036, 3201, 700, 25604, 2969, 13543, 29898, 30316, 22432, 454, 291, 9128, 2562, 296, 3582, 5508, 10758, 3201, 700, 25604, 2969, 13543, 454, 15703, 8847, 540, 938, 5711, 3332, 723, 1044, 8441, 855, 1082, 540, 873, 616, 1259, 1657, 519, 6281, 1153, 1053, 563, 288, 2241, 2943, 782, 8537, 4214, 540, 5711, 3332, 2982, 1491, 883, 2272, 519, 1739, 3344, 281, 8894, 268, 25042, 540, 6771, 563, 268, 3955, 22831, 6771, 454, 268, 12474, 540, 1018, 621, 18993, 1080, 563, 2414, 1376, 609, 267, 649, 4063, 602, 519, 7154, 540, 6771, 540, 5711, 3332, 568, 5711, 269, 634, 2262, 5711, 1797, 676, 2262, 540, 5023, 2034, 569, 519, 6771, 568, 689, 835, 5108, 547, 1776, 269, 12059, 569, 267, 1018, 568, 10299, 568, 519, 1543, 540, 5711, 3332, 267, 602, 568, 281, 5711, 6386, 267, 8964, 267, 605, 18690, 267, 678, 26680, 543, 11469, 1000, 8651, 563, 13295, 513, 2241, 4214, 540, 5711, 3332, 1131, 581, 3248, 763, 5711, 6386, 2676, 4517, 11469, 1000, 8651, 454, 314, 4322, 941, 7768, 543, 10299, 30375, 689, 835, 5108, 547, 1776, 454, 4913, 267, 713, 4214, 814, 4957, 5594, 1317, 540, 519, 7154, 6771, 799, 267, 814, 3376, 2989, 547, 1331, 824, 12331, 899, 519, 2854, 907, 5016, 2237, 606, 3573, 543, 2143, 1576, 1770, 538, 513, 1837, 585, 2852, 1053, 1644, 547, 519, 1349, 1657, 267, 2519, 593, 834, 290, 5971, 1299, 4858, 854, 257, 607, 851, 540, 834, 16300, 16337, 1315, 4317, 21771, 1315, 18880, 1299, 12484, 1132, 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, 594, 2760, 2219, 594, 1131, 1439, 909, 1373, 835, 540, 1346, 7194, 910, 513, 6408, 540, 519, 19394, 2816, 3354, 538, 2221, 781, 17254, 4346, 269, 2991, 4271, 908, 689, 2852, 609, 26549, 267, 594, 729, 9599, 547, 1376, 1250, 4876, 538, 6725, 269, 1717, 267, 4466, 513, 2407, 6066, 2990, 9863, 547, 581, 811, 4101, 982, 594, 17191, 269, 2060, 12014, 533, 4979, 909, 267, 594, 4956, 547, 2285, 519, 17254, 4346, 513, 2119, 780, 4263, 1101, 267, 3388, 8604, 1390, 269, 594, 13603, 909, 1585, 8642, 1374, 3785, 998, 606, 2228, 3760, 267, 3850, 803, 547, 960, 20716, 1247, 15980, 513, 22510, 4747, 269, 3733, 7218, 941, 6126, 609, 1250, 960, 267, 543, 594, 10150, 2348, 1852, 936, 1250, 8430, 269, 1809, 1287, 267, 1919, 3576, 606, 6397, 2490, 780, 3080, 1554, 267, 856, 540, 519, 4544, 267, 594, 4607, 513, 5048, 689, 519, 2228, 3760, 26655, 803, 602, 789, 941, 9505, 1154, 1524, 741, 2533, 22543, 17802, 1813, 547, 2883, 7965, 269, 3807, 899, 602, 267, 476, 3583, 260, 540, 1250, 4747, 8709, 1639, 16074, 269, 1677, 1118, 6927, 8338, 267, 2094, 594, 7012, 1405, 2808, 513, 834, 10177, 6463, 9441, 257, 676, 1022, 540, 1250, 7218, 267, 594, 4769, 1405, 20618, 585, 13864, 2640, 610, 1022, 1106, 540, 6351, 780, 296, 3323, 535, 7949, 1227, 10478, 585, 4244, 2959, 540, 4747, 267, 855, 6735, 729, 18979, 269, 1306, 2395, 5828, 883, 4374, 1510, 11931, 960, 267, 594, 3459, 10010, 547, 2628, 10519, 543, 2322, 1426, 593, 519, 3349, 269, 898, 5433, 899, 594, 729, 546, 20621, 538, 7963, 267, 8572, 547, 6952, 513, 2736, 780, 2026, 952, 1272, 4941, 547, 12235, 1776, 7455, 4252, 1250, 1259, 267, 594, 3893, 7210, 543, 7948, 1405, 1256, 6488, 2564, 2126, 269, 9453, 1072, 6142, 610, 9806, 267, 594, 759, 9285, 547, 7715, 4206, 27448, 1175, 547, 3382, 1250, 6413, 12014, 269, 2334, 781, 950, 4641, 5734, 803, 1107, 13461, 9003, 593, 575, 12127, 2451, 803, 7925, 543, 796, 31695, 1996, 1272, 781, 24604, 780, 8601, 782, 891, 2591, 267, 972, 568, 1869, 4126, 269, 901, 1995, 1500, 803, 8275, 875, 1271, 621, 568, 547, 12167, 585, 1732, 4507, 543, 4027, 585, 17254, 4600, 899, 8885, 269, 1284, 17330, 1569, 547, 2596, 7694, 2924, 971, 607, 3782, 267, 6976, 4734, 267, 543, 1514, 3354, 269, 1635, 4687, 938, 2984, 267, 649, 666, 6318, 4656, 827, 519, 10792, 19178, 5185, 676, 6634, 540, 4830, 25255, 945, 4492, 519, 2208, 540, 519, 17254, 4346, 269, 8625, 267, 1577, 721, 4339, 585, 14619, 267, 15683, 267, 543, 6617, 538, 938, 1899, 540, 960, 256, 0, 2237, 513, 1650, 538, 519, 2511, 540, 1483, 3734, 3871, 602, 1004, 2671, 538, 15473, 269, 634, 1650, 1058, 581, 11214, 1644, 547, 713, 1257, 6256, 912, 22081, 814, 519, 4473, 540, 519, 17254, 4346, 4299, 2816, 3354, 888, 763, 4473, 540, 519, 17254, 4346, 814, 1185, 513, 1713, 1764, 593, 2816, 3354, 269, 20709, 538, 519, 17254, 4346, 3335, 960, 593, 513, 28479, 766, 267, 851, 6066, 267, 610, 10151, 4493, 267, 799, 1797, 789, 798, 711, 2972, 519, 1482, 1377, 540, 2816, 3354, 607, 2757, 5520, 269, 717, 580, 4600, 616, 711, 13886, 547, 2640, 971, 607, 1072, 6142, 267, 16468, 4566, 267, 610, 6976, 942, 1055, 267, 543, 789, 616, 1419, 21534, 593, 513, 1788, 8386, 3491, 915, 4493, 267, 2495, 789, 723, 1100, 16798, 4747, 6908, 780, 294, 580, 4600, 849, 3668, 519, 3656, 20038, 6488, 539, 547, 2757, 5520, 267, 971, 607, 5934, 13230, 4031, 267, 936, 5503, 6042, 267, 543, 1884, 573, 4593, 19303, 4031, 269, 1358, 616, 849, 711, 4988, 676, 13864, 6142, 610, 4600, 262, 13180, 267, 799, 12662, 873, 693, 3152, 1981, 540, 2883, 27465, 538, 519, 2680, 540, 5945, 267, 4576, 267, 610, 2816, 2530, 780, 14454, 267, 519, 4473, 540, 519, 17254, 4346, 814, 3366, 547, 513, 7771, 538, 2816, 3354, 585, 1082, 4600, 269, 2755, 621, 814, 2813, 1007, 3255, 585, 930, 267, 621, 814, 9232, 692, 763, 1650, 2115, 547, 1331, 513, 8903, 543, 6397, 4729, 6335, 269, 2659, 2239, 1058, 13469, 609, 519, 13597, 543, 2123, 5905, 1336, 538, 8468, 5717, 269, 3417, 11541, 2621, 543, 3929, 3178, 563, 0, 769, 713, 3184, 267, 649, 786, 5490, 883, 519, 4241, 1158, 540, 7087, 28358, 584, 1143, 267, 4481, 3695, 875, 713, 3350, 12969, 338, 609, 519, 9135, 540, 23019, 5708, 1634, 607, 5384 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 307, 584, 4486, 779, 12080, 540, 10456, 7788, 6407, 476, 1708, 271, 7225, 2772, 10803, 454, 6124, 19938, 10426, 539, 593, 2657, 7304, 601, 730, 681, 22936, 18768, 454, 763, 7726, 32666, 15147, 532, 2353, 31834, 540, 570, 2784, 655, 10225, 538, 11894, 563, 1432, 568, 519, 3119, 9086, 12044, 30931, 538, 707, 16278, 888, 763, 11633, 16296, 4521, 3143, 269, 476, 6858, 277, 280, 630, 1492, 4521, 264, 2968, 519, 3119, 9086, 593, 30931, 1310, 621, 729, 3370, 538, 24722, 30657, 8291, 3143, 269, 476, 26482, 4510, 543, 3357, 883, 3196, 593, 476, 1015, 5130, 476, 1001, 278, 269, 2776, 16227, 267, 5463, 872, 6441, 1177, 3143, 269, 476, 4649, 277, 593, 10466, 540, 519, 570, 2784, 655, 10225, 630, 1492, 27618, 5463, 872, 6441, 1177, 264, 729, 538, 3196, 689, 476, 1960, 276, 2394, 476, 1015, 5130, 476, 1001, 278, 950, 621, 729, 27618, 269, 2991, 519, 4521, 3143, 269, 476, 6858, 277, 280, 3357, 883, 3196, 267, 30931, 616, 849, 14931, 896, 519, 11633, 16296, 4521, 267, 1519, 24977, 267, 6272, 543, 10923, 4191, 269, 4014, 972, 616, 2629, 2242, 538, 519, 1007, 4521, 267, 972, 616, 1869, 1880, 14074, 540, 519, 27618, 5463, 872, 6441, 1177, 602, 2611, 538, 1198, 563, 7617, 3486, 22028, 11650, 814, 707, 16278, 9896, 888, 307, 584, 4486, 568, 513, 5428, 547, 1297, 540, 22028, 5829, 3486, 14908, 267, 519, 2101, 3283, 540, 799, 616, 912, 7617, 2229, 4703, 10038, 22028, 1876, 888, 2467, 616, 1079, 2081, 540, 1818, 513, 15424, 11556, 538, 519, 15349, 1876, 1062, 269, 634, 16410, 6839, 540, 3687, 31559, 610, 2818, 540, 14618, 949, 1118, 519, 15424, 11556, 269, 634, 11556, 1287, 4422, 547, 519, 8189, 779, 11380, 269, 2991, 519, 2556, 1382, 543, 18362, 616, 1500, 676, 519, 8189, 267, 519, 9086, 568, 1500, 4712, 585, 4901, 538, 519, 4937, 13909, 269, 1403, 519, 8189, 24693, 519, 11556, 267, 1287, 621, 2501, 538, 4395, 540, 519, 9835, 4937, 2817, 13909, 540, 11894, 585, 10343, 610, 24677, 269, 4475, 267, 782, 4031, 616, 14931, 676, 519, 9835, 2817, 13909, 540, 11894, 267, 1519, 22028, 1876, 563, 763, 15349, 30171, 543, 570, 2784, 655, 1046, 8433, 568, 2278, 2213, 547, 1118, 6042, 543, 4808, 3823, 519, 11268, 540, 519, 1876, 269, 634, 6392, 3743, 585, 22028, 18362, 543, 14261, 568, 849, 519, 15349, 30171, 543, 570, 2784, 655, 1046, 8433, 563, 8005, 949, 4019, 585, 14261, 888, 6097, 547, 2376, 476, 274, 540, 519, 11633, 16296, 4521, 3143, 269, 476, 6858, 277, 280, 630, 1492, 4521, 1070, 15349, 4961, 267, 1483, 610, 3656, 7606, 23493, 610, 7722, 538, 5010, 610, 4853, 2238, 1369, 15349, 3084, 10665, 267, 7606, 13886, 547, 4019, 896, 519, 8303, 13482, 543, 519, 15716, 26787, 519, 2622, 11780, 9257, 267, 543, 4182, 1023, 540, 2829, 602, 1683, 4027, 585, 4853, 3959, 2924, 547, 15349, 4182, 1023, 538, 10220, 609, 519, 25262, 640, 6240, 616, 13886, 547, 22028, 14261, 563, 1432, 949, 543, 949, 711, 581, 6870, 543, 10805, 607, 513, 22028, 888, 763, 9165, 543, 4191, 602, 513, 22028, 949, 2874, 540, 616, 14931, 896, 2376, 476, 275, 540, 519, 4521, 269, 570, 2784, 655, 10225, 1590, 581, 10646, 762, 267, 543, 519, 2924, 543, 20038, 11292, 547, 519, 8227, 1590, 581, 9138, 12799, 593, 519, 1036, 3588, 269, 769, 519, 1482, 2376, 267, 621, 568, 7150, 602, 513, 22028, 949, 17663, 1022, 4191, 267, 1913, 267, 2123, 4408, 267, 5515, 267, 15437, 267, 5022, 267, 2338, 610, 4992, 267, 607, 1134, 607, 519, 3337, 540, 5370, 610, 741, 11183, 563, 763, 4191, 602, 949, 711, 581, 10805, 607, 513, 22028, 616, 5462, 896, 2376, 476, 276, 543, 2874, 540, 4191, 602, 912, 4692, 22028, 2924, 581, 3964, 1510, 14261, 888, 2467, 616, 1079, 1949, 547, 3715, 513, 22028, 281, 14261, 543, 4890, 946, 269, 26787, 30931, 1510, 14261, 8813, 896, 519, 2034, 1062, 269, 4595, 11894, 7550, 513, 14261, 1062, 585, 22028, 4027, 267, 15349, 9086, 3091, 3908, 4027, 547, 30931, 602, 616, 711, 10805, 269, 21362, 1229, 30931, 616, 6870, 896, 519, 4521, 543, 3486, 22028, 5829, 14908, 269, 1717, 267, 30931, 602, 616, 711, 10805, 538, 11894, 855, 3964, 998, 4890, 946, 616, 6870, 896, 519, 15349, 20497, 8943, 779, 15490, 6735, 14074, 563, 763, 20497, 8943, 11225, 15490, 6735, 607, 2048, 1492, 6057, 540, 2804, 6735, 676, 1259, 540, 3527, 602, 616, 22801, 610, 3423, 908, 1434, 5132, 9957, 4595, 30931, 616, 606, 1898, 3693, 540, 6735, 267, 796, 2958, 626, 1229, 30931, 616, 6870, 896, 713, 11865, 269, 898, 568, 711, 2556, 547, 581, 513, 21471, 610, 585, 519, 2078, 1063, 519, 6105, 547, 581, 513, 5010, 26035, 585, 4027, 896, 15490, 6735, 14074, 269, 4014, 621, 568, 2009, 585, 30931, 547, 581, 3964, 1510, 14261, 267, 621, 1131, 581, 10930, 585, 22028, 5411, 547, 11578, 267, 2094, 14261, 2488, 9962, 4027, 896, 15349, 1876, 563, 3674, 513, 4583, 4914, 22028, 6488, 539, 4027, 1256, 952, 711, 1031, 29143, 1227, 286, 1403, 865, 267, 1590, 519, 4914, 22028, 581, 4583, 29143, 1227, 286, 1548, 6169, 568, 2838, 286, 1548, 4027, 568, 3177, 888, 2467, 616, 1082, 8847, 540, 1134, 8153, 30931, 269, 13575, 267, 621, 568, 7608, 607, 513, 21205, 602, 513, 1134, 8153, 22028, 1590, 581, 1634, 676, 1346, 945, 616, 711, 1644, 547, 519, 5370, 610, 2533, 269, 589, 1134, 8153, 22028, 1223, 581, 5018, 952, 519, 1665, 568, 1634, 711, 1152, 676, 4143, 18318, 610, 18046, 267, 855, 849, 676, 1346, 945, 616, 711, 4143, 610, 5461, 538, 1346, 5370, 610, 2533, 563, 11039, 8153, 30931, 13822, 606, 9868, 547, 519, 6240, 540, 519, 14261, 1062, 269, 769, 922, 26541, 576, 966, 7534, 3375, 540, 476, 1556, 628, 25679, 540, 10966, 7040, 18584, 476, 736, 5437, 476, 1960, 279, 267, 621, 568, 7150, 538, 6252, 609, 519, 18230, 8549, 7040, 779, 6644, 602, 972, 568, 1100, 991, 585, 1134, 8153, 30931, 547, 581, 1031, 3927, 538, 11894, 269, 1717, 267, 607, 7150, 1657, 267, 513, 1134, 268, 1634, 22028, 1590, 581, 1634, 676, 519, 1857, 1256, 952, 621, 568, 711, 1031, 29143, 1227, 563, 18184, 1841, 540, 6169, 585, 1373, 4583, 29143, 1227, 1590, 581, 2808, 1927, 609, 519, 6405, 2680, 269, 634, 1739, 2152, 1223, 581, 2808, 607, 513, 3044, 540, 6169, 585, 1373, 513, 1134, 8153, 22028, 912, 2005, 568, 711, 8078, 2218, 585, 1134, 8153, 30931, 602, 616, 896, 519, 9165, 540, 519, 8303, 13482, 547, 581, 10805, 538, 1931, 547, 581, 6870, 538, 11894, 269, 20260, 532, 6105, 540, 519, 8303, 13482, 723, 17298, 547, 2149, 1134, 8153, 30931, 896, 2376, 476, 277, 1532, 529, 263, 272, 1040, 4270, 8153, 30931, 616, 849, 6870, 896, 519, 15349, 20497, 8943, 779, 15490, 6735, 14074, 563, 763, 4027, 3177, 547, 1134, 8153, 30931, 5411, 2882, 4027, 607, 513, 14261, 11064, 267, 4027, 607, 513, 2601, 585, 1045, 531, 7190, 543, 4027, 1996, 26418, 618, 269, 4270, 8153, 30931, 616, 2808, 607, 513, 3448, 2666, 585, 30671, 540, 513, 14261, 269, 1280, 513, 1134, 8153, 22028, 547, 581, 6870, 896, 713, 16083, 267, 14261, 568, 711, 2877, 269, 10466, 607, 513, 2601, 585, 1045, 531, 7190, 1797, 602, 952, 513, 1134, 8153, 22028, 568, 10805, 676, 513, 3791, 5428, 1354, 519, 570, 2784, 655, 1046, 8433, 267, 621, 568, 2009, 585, 519, 1134, 8153, 22028, 8227, 547, 3758, 606, 1045, 531, 7190, 2013, 1996, 519, 14261, 269, 7053, 267, 621, 568, 2808, 606, 26418, 618, 547, 4831, 10623, 527, 519, 22028, 676, 1210, 621, 610, 513, 1476, 639, 5944, 2147, 22028, 1510, 519, 9844, 540, 519, 22028, 8227, 269, 1403, 972, 568, 606, 26418, 618, 540, 513, 1134, 8153, 22028, 267, 519, 1134, 8153, 22028, 8227, 949, 2061, 971, 3527, 2687, 547, 519, 4521, 269, 1717, 267, 547, 4324, 689, 4027, 1996, 26418, 618, 267, 621, 568, 2556, 585, 1134, 8153, 30931, 547, 581, 10805, 1354, 519, 570, 2784, 655, 1046, 8433, 267, 14669, 547, 824, 20038, 563, 1432, 616, 519, 2640, 540, 14261, 888, 763, 9165, 540, 2924, 24705, 1042, 676, 513, 22028, 14261, 568, 5462, 896, 2376, 476, 278, 540, 519, 4521, 269, 1306, 7150, 538, 519, 2376, 267, 513, 22028, 1318, 568, 606, 12600, 1318, 540, 519, 8227, 602, 666, 581, 10645, 1996, 4896, 543, 568, 6207, 269, 634, 22028, 1318, 3217, 1198, 689, 519, 4266, 540, 519, 14261, 3498, 269, 634, 14261, 540, 513, 22028, 568, 711, 8078, 2218, 585, 519, 8227, 269, 1133, 2958, 626, 1229, 30931, 616, 849, 6870, 896, 519, 15349, 20497, 8943, 779, 15490, 6735, 543, 2489, 14074, 269, 1717, 267, 952, 519, 22028, 568, 10805, 267, 972, 568, 513, 6793, 4027, 2687, 547, 519, 4521, 269, 3958, 267, 585, 10805, 30931, 1641, 547, 519, 4521, 267, 1022, 6811, 585, 11268, 616, 2938, 1354, 2027, 2213, 7379, 10470, 563, 763, 14261, 540, 513, 22028, 711, 1152, 2636, 7436, 547, 581, 13747, 267, 855, 849, 2488, 9962, 4027, 585, 519, 8227, 267, 971, 607, 519, 12600, 946, 540, 519, 22028, 676, 922, 8227, 267, 4027, 1996, 26418, 906, 543, 824, 6927, 9783, 538, 2376, 476, 278, 540, 519, 4521, 269, 2060, 22028, 14261, 267, 1022, 1129, 3769, 538, 519, 22028, 3112, 581, 1031, 676, 1866, 593, 1022, 5370, 610, 11183, 267, 543, 621, 3112, 581, 10805, 676, 4896, 3116, 585, 519, 1482, 5370, 543, 2533, 563, 7212, 519, 2924, 24705, 1042, 547, 519, 22028, 8227, 1491, 1198, 1996, 3791, 6105, 607, 540, 519, 8313, 4266, 540, 519, 14261, 267, 519, 2924, 8227, 1223, 3758, 513, 3409, 585, 14796, 16109, 689, 26418, 618, 1310, 519, 3498, 814, 1044, 3370, 538, 519, 28743, 269, 1717, 267, 519, 5480, 3112, 6430, 2390, 519, 14496, 540, 6811, 6659, 1354, 519, 14261, 568, 3370, 563, 1432, 12319, 568, 2877, 547, 3758, 513, 22028, 3498, 286, 1548, 3652, 1827, 519, 6041, 540, 519, 1665, 538, 519, 3498, 286, 1772, 5907, 25937, 2139, 286, 3657, 22028, 19707, 2139, 610, 2838, 1354, 25937, 286, 1403, 865, 267, 1018, 5773, 543, 12375, 4019, 888, 763, 2556, 6054, 585, 519, 3498, 616, 7150, 538, 2376, 476, 1556, 540, 519, 4521, 267, 543, 616, 607, 5205, 912, 4002, 1142, 3498, 267, 1152, 835, 22028, 14261, 666, 581, 9783, 269, 1717, 267, 513, 2582, 22028, 3498, 666, 3382, 2789, 5049, 269, 634, 3156, 949, 581, 11643, 547, 519, 15349, 30171, 543, 570, 2784, 655, 1046, 8433, 630, 1492, 570, 2784, 655, 1046, 8433, 264, 538, 1323, 330, 4673, 609, 513, 2854, 21936, 610, 6475, 1227, 998, 519, 3896, 540, 519, 8433, 563, 6524, 519, 22028, 3498, 267, 621, 568, 2009, 547, 798, 513, 16861, 3406, 593, 2436, 519, 1641, 540, 519, 14261, 7662, 814, 1044, 10805, 610, 4294, 585, 676, 2576, 3116, 269, 3194, 1354, 519, 3498, 568, 711, 16601, 543, 666, 581, 1500, 676, 11423, 538, 519, 4143, 1106, 543, 26446, 519, 3561, 6029, 519, 1382, 13927, 547, 519, 6392, 269, 898, 568, 849, 2009, 547, 798, 519, 16861, 3406, 16924, 998, 519, 3896, 540, 519, 570, 2784, 655, 1046, 8433, 1863, 540, 5279, 563, 1692, 1279, 1281, 621, 3335, 1491, 267, 543, 875, 1454, 1281, 621, 3335, 1942, 267, 547, 3489, 513, 22028, 14261, 286, 1879, 1281, 14261, 18005, 2097, 883, 1198, 286, 1548, 6381, 1131, 2333, 519, 6059, 942, 543, 1942, 540, 25937, 513, 22028, 3498, 543, 8391, 513, 14261, 888, 763, 14261, 1184, 540, 30931, 5956, 609, 519, 3498, 543, 7475, 609, 519, 14261, 267, 607, 5205, 912, 4322, 5712, 1223, 581, 27571, 952, 519, 3498, 568, 1500, 2228, 269, 769, 1840, 267, 952, 519, 3498, 568, 1500, 676, 606, 18607, 610, 11347, 267, 519, 1184, 786, 581, 27571, 2094, 789, 616, 4810, 538, 543, 1134, 5483, 827, 22028, 3156, 563, 1432, 8760, 1062, 568, 4553, 267, 543, 875, 1281, 713, 1062, 8428, 689, 519, 4139, 19032, 3590, 607, 547, 519, 5370, 543, 2533, 602, 666, 581, 10645, 286, 3657, 3818, 11665, 3156, 2139, 543, 1018, 616, 519, 6059, 1942, 9806, 888, 763, 8760, 1062, 538, 11894, 568, 5462, 538, 13076, 609, 519, 715, 823, 15716, 269, 11894, 2968, 513, 5428, 547, 519, 6876, 593, 476, 1321, 5147, 476, 1960, 276, 543, 7550, 606, 3486, 8760, 1062, 540, 5370, 543, 2533, 585, 519, 14261, 540, 30931, 563, 25648, 11665, 22028, 3156, 616, 4847, 896, 15349, 9086, 269, 1717, 267, 519, 13927, 1590, 581, 6976, 585, 1142, 1362, 269, 1403, 519, 13927, 568, 711, 6976, 585, 1142, 1362, 267, 519, 3498, 786, 581 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 273, 269, 661, 3394, 325, 17313, 1703, 568, 1945, 811, 2489, 982, 22263, 3126, 3238, 1934, 269, 634, 10465, 2783, 693, 1142, 1439, 9557, 568, 4847, 547, 581, 519, 10421, 602, 930, 6378, 5276, 4999, 540, 586, 543, 586, 581, 4642, 693, 602, 1448, 269, 1280, 1383, 267, 519, 10465, 1871, 1966, 546, 476, 273, 586, 15848, 476, 273, 595, 586, 667, 594, 586, 269, 271, 270, 667, 594, 586, 11482, 270, 595, 586, 1547, 299, 270, 667, 814, 513, 1875, 2389, 337, 20190, 3070, 540, 519, 1106, 5609, 1535, 950, 5609, 700, 595, 5430, 700, 667, 1547, 1703, 616, 1869, 28222, 1082, 971, 2073, 855, 789, 616, 6353, 676, 667, 16009, 700, 606, 3830, 602, 814, 835, 3597, 538, 1142, 8884, 540, 519, 1106, 1547, 330, 476, 272, 815, 476, 273, 1315, 815, 299, 282, 269, 330, 595, 476, 272, 815, 476, 273, 1315, 815, 299, 1547, 1306, 1354, 267, 667, 476, 273, 2073, 855, 972, 568, 1100, 2241, 4082, 585, 1547, 898, 666, 581, 3254, 676, 519, 1505, 1031, 538, 519, 1101, 1383, 602, 1152, 891, 2318, 2418, 540, 1450, 1875, 14706, 3435, 540, 519, 10465, 1871, 1966, 19601, 8698, 9509, 11657, 454, 1607, 4063, 729, 23345, 593, 476, 6021, 270, 3066, 270, 1220, 280, 585, 519, 1576, 476, 20981, 476, 275, 2641, 6026, 676, 7905, 645, 636, 2421, 1282, 519, 11354, 1412, 5400, 2165, 693, 31089, 7970, 563, 268, 11354, 1412, 5400, 0, 1607, 2962, 1522, 711, 581, 2009, 547, 3768, 334, 269, 3657, 596, 2386, 596, 1616, 547, 3136, 888, 9199, 9535, 7089, 281, 21436, 7089, 281, 15863, 9603, 11261, 912, 279, 5937, 568, 513, 2298, 2359, 1907, 543, 568, 513, 6174, 585, 513, 3444, 1922, 23341, 2319, 547, 24808, 4555, 543, 2488, 3621, 8990, 547, 3877, 540, 2042, 543, 1683, 3435, 269, 20871, 666, 4324, 689, 519, 476, 279, 5937, 1935, 676, 7311, 621, 547, 782, 2127, 538, 519, 2754, 269, 634, 476, 279, 5937, 2488, 5140, 4808, 3850, 721, 547, 1205, 547, 519, 3597, 540, 513, 1966, 543, 2081, 547, 2638, 602, 519, 3070, 2965, 1568, 269, 13298, 982, 7067, 519, 10835, 267, 519, 4576, 568, 23174, 267, 3976, 267, 519, 1482, 1966, 568, 12691, 547, 9888, 563, 3721, 11059, 476, 271, 634, 12020, 8609, 476, 272, 26787, 519, 12243, 476, 273, 9046, 9502, 1315, 15048, 1299, 13517, 476, 274, 15043, 3955, 574, 1230, 24287, 11059, 476, 275, 17291, 1299, 7638, 4328, 17848, 20531, 476, 276, 17291, 32719, 550, 22043, 633, 589, 2388, 630, 303, 7563, 264, 476, 277, 20074, 1299, 4406, 573, 908, 7193, 288, 476, 278, 16473, 532, 1234, 2017, 5270, 476, 279, 20876, 12243, 27557, 454, 763, 12020, 8609, 912, 763, 476, 279, 5937, 1505, 540, 1966, 6061, 568, 3617, 538, 834, 322, 1021, 7164, 257, 3871, 543, 568, 711, 519, 1318, 1907, 952, 4145, 4099, 9003, 593, 3375, 6194, 610, 1966, 6604, 269, 476, 279, 5937, 568, 2523, 3730, 607, 621, 2164, 538, 711, 1175, 513, 1966, 9010, 1184, 267, 855, 849, 513, 3044, 543, 513, 8989, 3898, 269, 6496, 713, 1966, 15549, 270, 7528, 790, 606, 476, 279, 291, 286, 1403, 865, 6085, 1946, 543, 8399, 563, 3674, 606, 17073, 15863, 11059, 10261, 539, 888, 263, 2252, 2877, 3561, 3527, 538, 11059, 30014, 7305, 994, 15307, 629, 7667, 519, 12243, 912, 5938, 600, 17644, 281, 12243, 20505, 281, 26930, 454, 15307, 28344, 513, 1507, 1895, 540, 1004, 609, 519, 1184, 270, 1587, 1702, 267, 21248, 942, 267, 6392, 543, 5578, 538, 519, 2838, 2930, 10459, 547, 4194, 519, 1966, 543, 2936, 30997, 3527, 269, 4972, 8745, 10341, 454, 306, 8208, 577, 1315, 17421, 540, 9046, 454, 17809, 1938, 519, 4358, 1448, 585, 6061, 519, 1966, 610, 1875, 935, 18504, 3390, 269, 10261, 547, 723, 968, 322, 8091, 892, 1966, 6609, 547, 2697, 3123, 269, 10261, 547, 946, 2474, 602, 616, 6956, 676, 782, 563, 8512, 7089, 4433, 2567, 21436, 4433, 2567, 5903, 782, 540, 519, 1239, 543, 6054, 602, 1522, 948, 596, 547, 5581, 519, 1966, 811, 4010, 888, 17273, 476, 272, 540, 476, 1556, 454, 279, 291, 26012, 9046, 14572, 8018, 11059, 4643, 547, 2445, 3606, 1344, 281, 16259, 6713, 10046, 12810, 585, 1966, 946, 513, 5094, 6656, 952, 2877, 8525, 476, 273, 540, 476, 1556, 5291, 2517, 763, 26660, 21545, 531, 2593, 4586, 15161, 269, 279, 291, 26012, 9046, 14572, 8018, 476, 273, 289, 4959, 5808, 568, 4299, 676, 519, 1966, 286, 5808, 1101, 4767, 519, 1966, 286, 1677, 7247, 729, 519, 1966, 4080, 286, 4959, 10691, 5808, 568, 711, 4299, 676, 519, 1966, 286, 5808, 1705, 711, 1265, 519, 1966, 286, 5808, 1548, 1826, 540, 1966, 568, 621, 286, 1548, 814, 519, 1966, 630, 4820, 7329, 269, 2603, 1948, 338, 2593, 1547, 3092, 21663, 1548, 1281, 711, 723, 519, 1966, 286, 1548, 1223, 581, 8345, 855, 568, 711, 286, 1548, 1223, 581, 519, 1966, 855, 568, 711, 286, 1548, 1548, 568, 8345, 609, 519, 1184, 1299, 609, 2270, 618, 286, 1684, 649, 723, 2168, 2963, 540, 519, 1966, 286, 4208, 568, 713, 513, 1966, 630, 323, 18341, 539, 2773, 21663, 4208, 568, 621, 711, 513, 1966, 286, 4208, 1772, 519, 1184, 7123, 286, 7316, 729, 519, 1966, 4767, 286, 7316, 1223, 519, 1966, 581, 4092, 855, 568, 711, 286, 7316, 3116, 1223, 519, 1966, 581, 4092, 855, 568, 711, 286, 7316, 7316, 1281, 519, 1966, 2049, 286, 1879, 729, 519, 1966, 1101, 8068, 286, 1879, 1223, 519, 1966, 723, 1044, 8068, 855, 729, 711, 286, 1879, 1879, 814, 621, 1044, 8068, 2094, 286, 1215, 13518, 270, 3509, 10829, 640, 540, 1966, 630, 653, 332, 21663, 1215, 1454, 568, 519, 1966, 28428, 538, 9489, 269, 1299, 942, 286, 1215, 1082, 1223, 723, 519, 1966, 855, 1810, 1406, 286, 1215, 2462, 1223, 519, 1966, 581, 855, 568, 711, 286, 8525, 476, 274, 540, 476, 1556, 5291, 2517, 763, 26660, 21545, 531, 563, 7094, 673, 21663, 13201, 519, 1966, 7018, 5892, 286, 1548, 1223, 519, 7678, 581, 855, 568, 711, 286, 9046, 13517, 630, 22372, 593, 519, 1344, 10356, 865, 2484, 269, 4351, 269, 1683, 513, 13801, 1966, 6609, 264, 476, 273, 290, 8525, 476, 275, 540, 476, 1556, 5291, 2517, 763, 26660, 21545, 531, 2593, 1547, 279, 291, 26012, 9046, 14572, 8018, 1215, 10705, 1548, 568, 519, 7678, 630, 11666, 6681, 563, 323, 17805, 3527, 538, 11059, 30014, 7305, 476, 274, 17291, 1299, 7638, 4328, 17848, 20531, 21302, 585, 968, 305, 2393, 20531, 892, 540, 519, 1966, 269, 10576, 543, 13182, 519, 18521, 1901, 8672, 476, 275, 288, 11020, 10445, 519, 2009, 3123, 540, 519, 1966, 20531, 543, 6356, 12810, 476, 275, 288, 1215, 568, 621, 1500, 286, 4208, 1705, 621, 1205, 856, 286, 10724, 9046, 4658, 10049, 10724, 4658, 10049, 6396, 5113, 20970, 6396, 5113, 20970, 5858, 519, 1034, 2693, 20334, 630, 320, 5021, 540, 1614, 264, 689, 1142, 2427, 2593, 1547, 476, 275, 289, 476, 276, 4208, 5811, 8525, 476, 276, 540, 476, 1556, 5291, 2517, 763, 26660, 21545, 531, 269, 279, 291, 26012, 9046, 14572, 8018, 15043, 3955, 574, 1230, 24287, 589, 2388, 570, 3637, 3527, 547, 2270, 519, 1966, 543, 968, 25785, 892, 2394, 8628, 15494, 568, 538, 1747, 4586, 24375, 547, 2347, 519, 17848, 20531, 11059, 4643, 547, 13182, 543, 19472, 519, 3597, 3123, 543, 1449, 519, 9101, 1448, 269, 11657, 713, 593, 519, 11059, 30014, 7305, 476, 275, 290, 8525, 476, 277, 540, 476, 1556, 5291, 2517, 763, 26660, 21545, 531, 269, 279, 291, 26012, 9046, 14572, 8018, 9105, 1107, 4208, 1705, 713, 4755, 286, 9105, 1107, 4208, 1705, 713, 4755, 286, 9105, 1107, 4208, 1705, 713, 4755, 286, 9105, 1107, 4208, 1705, 713, 4755, 286, 9105, 1107, 4208, 1705, 713, 4755, 286, 11059, 4643, 9122, 593, 519, 2319, 779, 5717, 2593, 4586, 291, 17805, 713, 593, 519, 11059, 30014, 7305, 269, 3550, 602, 30997, 2962, 3788, 538, 1747, 543, 3811, 476, 278, 8525, 476, 278, 540, 476, 1556, 5291, 2517, 763, 26660, 21545, 531, 2593, 1547, 952, 2556, 476, 277, 16473, 532, 1234, 2017, 5270, 3313, 1018, 9283, 538, 1949, 543, 3157, 1131, 2061, 1966, 689, 18596, 269, 11657, 543, 13182, 519, 32719, 550, 22043, 633, 11059, 630, 303, 7563, 264, 538, 519, 11059, 30014, 7305, 20074, 1299, 4406, 573, 908, 519, 7193, 288, 25956, 543, 19472, 547, 2327, 602, 30997, 2962, 1281, 968, 6343, 621, 568, 9277, 547, 798, 1848, 23618, 1022, 24379, 2427, 2360, 269, 10298, 5462, 547, 581, 519, 1655, 540, 782, 519, 8925, 269, 279, 291, 26012, 9046, 14572, 8018, 476, 276, 10576, 32719, 550, 22043, 633, 589, 2388, 3435, 602, 2232, 543, 2953, 519, 3597, 2014, 269, 17776, 547, 3597, 2014, 2079, 563, 1260, 1547, 279, 291, 26012, 9046, 14572, 8018, 17372, 5381, 7010, 476, 278, 288, 6713, 1315, 30014, 5808, 13786, 1043, 1879, 8525, 476, 279, 540, 476, 1556, 5291, 2517, 763, 26660, 21545, 531, 563, 279, 291, 26012, 9046, 14572, 8018, 476, 278, 289, 5623, 519, 1739, 6054, 1315, 1949, 7388, 5406, 11261, 11657, 5808, 13786, 1043, 1773, 10165, 5004, 3590, 15015, 2920, 783, 19007, 4518, 27491, 6184, 18936, 4518, 27491, 6713, 10046, 932, 11301, 6713, 6513, 12697, 5071, 674, 10933, 288, 6713, 674, 10933, 288, 717, 1137, 26076, 4338, 7177, 7827, 10088, 1998, 8525, 476, 280, 540, 476, 1556, 5291, 2517, 763, 26660, 21545, 531, 2593, 4586, 279, 291, 26012, 9046, 14572, 8018, 5556, 7806, 3634, 2659, 12243, 2422, 782, 3029, 540, 9441, 6284, 543, 3561, 607, 2556, 476, 279, 18270, 622, 3811, 3932, 540, 519, 1966, 6061, 4674, 4813, 958, 771, 1263, 720, 519, 2319, 543, 2132, 547, 3339, 11645, 12984, 713, 1966, 6061, 3635, 2500, 286, 13201, 621, 1044, 20240, 609, 513, 1246, 5346, 286, 8786, 3143, 6178, 1155, 1315, 7170, 1315, 11261, 28454, 8525, 476, 1015, 540, 476, 1556, 5291, 2517, 763, 26660, 21545, 531, 2593, 4586, 1260, 1547, 279, 291, 26012, 9046, 14572, 8018, 11059, 30014, 7305, 589, 2388, 11059, 1948, 9046, 1230, 24287, 1315, 22043, 633, 11059, 25956, 1299, 7638, 1518, 589, 2388, 1215, 7638, 1881, 11059, 5808, 13786, 1043, 1773, 10165, 2920, 783, 21073, 8525, 476, 1556, 540, 476, 1556, 5291, 2517, 763, 26660, 21545, 531, 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 ]
[ 1932, 1454, 540, 4376, 666, 1831, 513, 1966, 269, 1879, 2576, 814, 8373, 9013, 741, 7287, 547, 13708, 1076, 1256, 950, 621, 781, 4929, 2800, 547, 2933, 610, 1866, 267, 649, 1289, 713, 27690, 13989, 269, 2913, 781, 4685, 4514, 883, 1620, 1018, 31017, 2623, 1797, 543, 875, 621, 12211, 547, 13989, 780, 1432, 568, 3281, 14601, 10263, 888, 10900, 19030, 15253, 14601, 2623, 4016, 547, 3527, 602, 2043, 1685, 14578, 267, 5103, 2942, 4539, 269, 1452, 5615, 1419, 2014, 11605, 267, 4160, 267, 610, 15717, 538, 835, 781, 3232, 1272, 269, 6201, 540, 824, 31017, 5615, 1331, 7050, 10918, 267, 31952, 11661, 267, 543, 4552, 17444, 630, 339, 5341, 582, 650, 2674, 807, 1040, 4653, 267, 1577, 781, 2263, 922, 4276, 547, 13989, 780, 294, 3711, 1782, 543, 4706, 2353, 675, 454, 2411, 15365, 6624, 1265, 13989, 13267, 1317, 540, 519, 19060, 2404, 609, 2921, 4220, 543, 5732, 10888, 2462, 269, 4658, 1522, 1376, 676, 11093, 1507, 530, 6162, 607, 513, 1106, 540, 9913, 855, 1287, 1020, 14432, 6208, 3056, 547, 8213, 269, 1280, 930, 267, 789, 2253, 31743, 9271, 267, 18468, 602, 789, 786, 5555, 9156, 519, 4503, 7482, 952, 1152, 2016, 1776, 4960, 269, 1306, 942, 4422, 593, 267, 891, 3270, 540, 3206, 14556, 1518, 267, 2870, 2883, 7965, 267, 2269, 1441, 3347, 267, 543, 3929, 24187, 780, 23219, 940, 20050, 540, 9046, 1738, 32573, 1782, 454, 5785, 14945, 265, 1975, 2056, 811, 942, 610, 2724, 982, 5497, 593, 13989, 2238, 454, 265, 28214, 1964, 1652, 610, 8886, 762, 950, 3843, 547, 2759, 1524, 593, 13989, 454, 265, 700, 3539, 827, 13989, 4908, 610, 5666, 6170, 454, 265, 10598, 22162, 960, 267, 1153, 267, 1920, 267, 610, 2123, 9021, 1813, 547, 13989, 454, 265, 1234, 2391, 593, 1866, 585, 2883, 1489, 607, 513, 1267, 540, 13989, 9271, 454, 265, 8758, 1154, 10363, 6411, 547, 2508, 13989, 2238, 692, 7093, 3685, 11150, 454, 2411, 21387, 2080, 616, 930, 4388, 547, 948, 2061, 2042, 2404, 609, 13989, 1384, 272, 269, 2878, 13729, 7182, 5093, 32341, 25656, 875, 1279, 596, 1544, 547, 6108, 13989, 543, 6529, 547, 621, 269, 3958, 267, 3715, 513, 6578, 585, 3054, 865, 602, 596, 1810, 1405, 936, 4944, 754, 563, 273, 269, 2878, 22879, 31112, 5093, 6008, 518, 2312, 540, 3871, 1141, 13989, 568, 11342, 267, 2523, 952, 596, 723, 17388, 609, 1852, 538, 519, 2250, 563, 274, 269, 2878, 8340, 4244, 12348, 5093, 18918, 538, 2635, 8925, 971, 607, 16706, 267, 2542, 267, 610, 11836, 15731, 10704, 1472, 3838, 4690, 563, 275, 269, 2878, 5353, 2131, 1489, 5093, 28651, 856, 547, 2828, 267, 1920, 2818, 267, 610, 4648, 945, 666, 2709, 5583, 543, 19015, 1282, 4101, 2053, 563, 276, 269, 2878, 28403, 1125, 12153, 5093, 10576, 1808, 4555, 267, 4606, 267, 610, 2621, 602, 1291, 547, 2799, 2712, 2471, 547, 13708, 1076, 269, 3763, 12003, 6127, 547, 4383, 891, 12153, 3927, 780, 8855, 267, 5275, 948, 568, 2629, 952, 596, 610, 2576, 596, 917, 15225, 4191, 540, 16609, 13989, 269, 5213, 1405, 19292, 547, 2911, 547, 513, 11967, 2937, 610, 2790, 1072, 3318, 585, 6351, 269, 8625, 267, 649, 666, 7753, 2591, 2404, 609, 31017, 2623, 256, 0, 2080, 568, 606, 1349, 689, 513, 2546, 281, 834, 293, 2393, 4252, 616, 606, 3078, 7328, 547, 1491, 12257, 538, 269, 634, 4278, 1571, 616, 11995, 267, 856, 689, 519, 2994, 1373, 1031, 267, 547, 519, 9670, 909, 3333, 1824, 540, 1142, 1142, 543, 1169, 3014, 269, 13268, 720, 3688, 7157, 1039, 585, 713, 10761, 1439, 909, 1373, 547, 1747, 513, 530, 4526, 538, 519, 5172, 29929, 269, 901, 1259, 267, 596, 2322, 1945, 593, 519, 10068, 1899, 538, 1169, 3014, 269, 1656, 19951, 267, 3257, 713, 3112, 581, 4443, 269, 1635, 606, 2228, 11176, 25919, 267, 3025, 568, 2111, 547, 1205, 883, 782, 540, 713, 2962, 563, 2005, 849, 2306, 519, 1131, 581, 2724, 20536, 1589, 2147, 3688, 616, 2009, 543, 6296, 585, 606, 4810, 3318, 5026, 2228, 25919, 13230, 17243, 269, 898, 568, 15720, 519, 5013, 538, 1931, 547, 2673, 513, 9042, 1500, 269, 898, 5036, 7301, 6788, 543, 8992, 21173, 25919, 513, 1268, 1745, 8246, 711, 711, 3094, 269, 6969, 596, 917, 621, 267, 707, 11636, 25919, 14543, 543, 519, 2724, 1818, 20790, 568, 513, 15668, 585, 513, 23129, 563, 2252, 519, 15454, 327, 895, 2907, 1044, 538, 519, 8322, 25523, 1188, 5063, 267, 849, 1832, 606, 3750, 593, 519, 2298, 540, 14797, 621, 2907, 1044, 998, 269, 28523, 344, 602, 949, 6231, 8620, 606, 2502, 543, 3015, 1576, 1770, 538, 513, 1837, 585, 1647, 1153, 1053, 1644, 547, 519, 1349, 1657, 267, 2519, 593, 590, 23852, 29803, 1315, 3281, 14601, 10263, 1315, 32573, 1782, 1315, 11202, 1670, 32573, 1782, 269, 898, 1058, 581, 3358, 585, 1647, 1153, 1053, 1510, 1991, 1702, 593, 519, 1888, 780, 2521, 547, 1384, 268, 3629, 2143, 3137, 267, 2057, 2930, 3822, 267, 543, 1459, 519, 2093, 538, 513, 3551, 267, 2239, 3159, 563, 268, 3417, 1806, 547, 1118, 519, 1641, 3839, 543, 3078, 585, 1762, 1647, 1153, 1053, 269, 3097, 268, 1684, 711, 2446, 519, 1357, 1349, 538, 519, 1837, 543, 798, 711, 1331, 513, 2140, 610, 2606, 2453, 267, 596, 1058, 2328, 519, 1543, 2047, 269, 0, 6637, 476, 1015, 281, 14171, 5516, 540, 3776, 9650, 338, 910, 14044, 8081, 543, 10076, 2657, 692, 7072, 912, 20756, 972, 256, 1284, 782, 917, 875, 1271, 621, 568, 547, 3251, 9308, 3514, 676, 4189, 2635, 543, 16706, 5781, 269, 1809, 1705, 596, 917, 602, 2921, 1416, 540, 938, 8186, 568, 1175, 607, 1898, 286, 3807, 899, 649, 723, 7189, 585, 938, 4703, 950, 649, 2811, 4743, 796, 6202, 267, 3006, 649, 991, 948, 12391, 585, 938, 4555, 543, 4606, 1932, 269, 901, 3184, 786, 6338, 596, 547, 513, 1007, 1259, 540, 3168, 1310, 707, 2790, 1072, 998, 5691, 1489, 2516, 543, 2228, 3797, 269, 1924, 1577, 781, 4685, 883, 713, 4241, 1158, 1927, 2439, 4089, 476, 272, 281, 1548, 616, 5691, 1489, 2516, 543, 1946, 616, 789, 5363, 2496, 5970, 596, 2479, 5433, 4805, 538, 7231, 609, 1945, 2352, 267, 899, 11648, 693, 1153, 610, 2566, 827, 6780, 286, 6884, 6158, 547, 2828, 543, 1920, 3884, 1405, 2614, 267, 543, 602, 781, 1141, 5691, 1489, 2516, 2097, 538, 13561, 269, 1452, 616, 2950, 540, 1004, 945, 5531, 2228, 547, 2671, 2833, 267, 2709, 5796, 267, 543, 1683, 3929, 1489, 547, 835, 1776, 269, 1358, 666, 581, 11212, 4313, 532, 1317, 789, 1921, 721, 609, 1866, 2469, 998, 2147, 3871, 1256, 952, 649, 5749, 1405, 538, 519, 1482, 2168, 4087, 780, 4131, 781, 1589, 827, 606, 1383, 281, 4952, 1373, 851, 540, 606, 1148, 8630, 1141, 3025, 8843, 741, 12400, 543, 10367, 269, 3767, 4605, 2348, 1569, 547, 513, 5001, 4528, 540, 713, 2146, 1141, 596, 666, 1865, 1022, 4161, 596, 3068, 1247, 849, 1565, 689, 824, 5159, 262, 5380, 269, 2334, 781, 9247, 1018, 513, 5691, 1489, 1895, 3091, 1107, 513, 2922, 2230, 547, 1451, 543, 1332, 1927, 609, 1866, 2228, 780, 4089, 476, 273, 281, 4197, 6732, 10657, 692, 15697, 3797, 267, 849, 1634, 607, 552, 7308, 2805, 610, 7658, 1492, 2805, 267, 2636, 2043, 547, 4309, 3318, 5583, 689, 13931, 16293, 3842, 6049, 7125, 267, 3381, 669, 1846, 267, 610, 8216, 20261, 5867, 269, 4438, 891, 7886, 267, 16293, 948, 7218, 6330, 1585, 2152, 971, 607, 4160, 267, 4965, 267, 2078, 13542, 267, 16236, 267, 543, 811, 269, 634, 1655, 851, 568, 602, 621, 781, 3015, 20471, 543, 9170, 267, 1818, 2790, 3782, 1454, 811, 10375, 982, 2757, 5604, 11564, 780, 5331, 6340, 27352, 609, 2576, 8797, 543, 1620, 267, 899, 513, 5172, 4116, 1282, 12899, 2736, 855, 12303, 269, 2060, 2228, 3797, 267, 596, 1205, 547, 1628, 3972, 609, 513, 11285, 4171, 2816, 568, 547, 6432, 5402, 543, 7668, 596, 547, 7753, 2123, 2591, 780, 4089, 476, 274, 281, 15531, 2659, 17828, 26969, 692, 3080, 1713, 5413, 540, 2228, 3797, 2533, 568, 602, 789, 1450, 3755, 547, 2824, 741, 9053, 13309, 1759, 593, 2188, 971, 607, 4008, 267, 4984, 267, 2085, 267, 1893, 267, 543, 6791, 538, 1808, 3584, 269, 1635, 11423, 856, 513, 2241, 18102, 267, 596, 666, 2327, 602, 596, 3513, 581, 19610, 609, 2576, 945, 17358, 707, 2189, 2115, 543, 4282, 780, 303, 27348, 7446, 513, 4050, 5493, 689, 1472, 519, 1158, 282, 9327, 1405, 621, 581, 3579, 952, 596, 1223, 4584, 2576, 945, 3838, 1455, 4690, 286, 6732, 3797, 2488, 4010, 602, 4316, 950, 5275, 2790, 1072, 1489, 780, 6962, 1384, 21982, 1416, 540, 938, 8186, 3322, 26378, 883, 2200, 899, 5691, 1489, 2516, 543, 2228, 3797, 269, 1306, 2029, 8441, 267, 865, 798, 3255, 547, 2087, 938, 2949, 8171, 269, 5457, 267, 6998, 585, 948, 950, 2877, 9727, 4222, 2864, 982, 8467, 269, 2913, 781, 3136, 3695, 2081, 547, 6536, 2318, 2790, 6208, 543, 3895, 1930, 7391, 827, 2790, 1072, 1851, 6000, 543, 2104, 5481, 269, 0, 2080, 568, 606, 1349, 689, 513, 2546, 281, 834, 299, 3089, 1176, 267, 5691, 1489, 1895, 1118, 621, 4443, 982, 2479, 547, 1491, 1416, 540, 707, 5626, 1072, 269, 6732, 10076, 2657, 29960, 1656, 2405, 1709, 454, 1103, 1249, 267, 1135, 3149, 1867, 602, 476, 7871, 2600, 540, 772, 2529, 269, 6738, 5725, 1533, 5855, 543, 8082, 9624, 519, 6855, 814, 1185, 513, 2942, 1764, 593, 741, 5626, 1072, 563, 529, 606, 2228, 2126, 3028, 602, 6087, 596, 547, 1257, 10004, 609, 513, 14468, 267, 6444, 13309, 476, 2190, 270, 278, 269, 5901, 10992, 856, 547, 1294, 875, 621, 1568, 267, 1018, 547, 2015, 267, 543, 952, 621, 779, 1318, 585, 596, 563, 1692, 1281, 960, 888, 27039, 2390, 1018, 596, 2461, 3843, 547, 1265, 267, 3091, 13508, 585, 1004, 267, 3885, 267, 610, 15185, 269, 1411, 1711, 606, 2272, 543, 6445, 856, 513, 18102, 547, 1265, 519, 1318, 6474, 563, 9961, 519, 18102, 267, 596, 2461, 2111, 547, 1592, 856, 707, 13309, 7375, 267, 1519, 741, 4008, 267, 3909, 4978, 267, 2085, 267, 4638, 13283, 267, 1893, 267, 538, 1840, 547, 1018, 2042, 596, 2461, 15691, 547, 4308, 609, 267, 543, 875, 2629, 621, 568, 602, 707, 13309, 581, 1134, 2613, 539, 538, 1346, 5396, 563, 2005, 666, 1491, 9170, 689, 513, 1071, 6231, 8620, 606, 2502, 543, 3015, 1576, 1770, 538, 513, 1837, 585, 1647, 1153, 1053, 1644, 547, 519, 1349, 1657, 267, 2519, 593, 31178, 1299, 32362, 1315, 10076, 2657, 1315, 22226, 15136, 269, 898, 1058, 581, 3358, 585, 1647, 1153, 1053, 1510, 1991, 1702, 593, 519, 1888, 780, 2521, 547, 1384, 268, 3629, 2143, 3137, 267, 2057, 2930, 3822, 267, 543, 1459, 519, 2093, 538, 513, 3551, 267, 2239, 3159, 563, 268, 3417, 1806, 547, 1118, 519, 1641, 3839, 543, 3078, 585, 1762, 1647, 1153, 1053, 269, 3097, 268, 1684, 711, 2446, 519, 1357, 1349, 538, 519, 1837, 543, 798, 711, 1331, 513, 2140, 610, 2606, 2453, 267, 596, 1058, 2328, 519, 1543, 2047, 269, 0, 594, 2760, 2219, 1454, 827, 5794, 16818, 321, 2394, 1250, 9393, 543, 594, 4956, 547, 1491, 938, 5326, 7552, 547, 8303, 2063, 1032, 269, 1284, 1185, 1044, 9494, 909, 585, 1296, 543, 4941, 547, 1118, 2386, 649, 1705, 621, 1318, 269, 2986, 1576, 267, 649, 6743, 883, 9363, 693, 930, 16681, 20730, 855, 519, 5777, 941, 30891, 748, 256, 2334, 779, 950, 594, 6700, 4758, 5794, 16818, 321, 513, 2119, 269, 3733, 2828, 986, 1386, 827, 875, 3579, 621, 729, 547, 3251, 538, 824, 1004, 779, 5321, 1247, 10707, 865, 594, 23125, 1946, 711, 2285, 621, 513, 8929, 780, 2171, 8694, 909, 1433, 532, 513, 4190, 19887, 538, 2274, 3057, 9820, 11262, 676, 713, 17681, 3943, 7008, 945, 1256, 2451, 721, 19471, 5186, 1170, 1218, 593, 519, 4831, 1169, 6640, 269, 898, 5433, 899, 649, 3893, 547, 2661, 899, 17137, 3079, 540, 14666, 16081, 4364, 883, 513, 6263, 15678, 4055, 269, 9578, 267, 519, 3902, 729, 796, 18566, 762, 1107, 1259, 14949, 982, 1022, 15678, 649, 1223, 1265, 780, 3719, 1287, 3357, 519, 4729, 6335, 269, 2290, 1554, 267, 607, 649, 941, 3695, 8053, 27926, 516, 267, 649, 16686, 2390, 513, 20036, 2370, 536, 719, 1664, 15678, 1141, 649, 4718, 513, 5432, 3068, 3297, 519, 21200, 11380, 269, 2701, 3576, 835, 1413, 693, 803, 543, 3154, 6244, 267, 834, 17764, 1250, 22556, 267, 596, 2811, 519, 1977, 14799, 945, 18423, 693, 1250, 3659, 781, 1747, 10590, 570, 5281, 856, 267, 1352, 729, 1434, 2828, 609, 519, 7008, 4171, 19887, 649, 941 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 2938, 538, 4832, 269, 2060, 14668, 815, 476, 271, 269, 276, 4672, 5283, 1206, 4625, 676, 519, 1647, 540, 5147, 1247, 2060, 14668, 815, 476, 271, 269, 278, 519, 4672, 814, 20374, 538, 519, 1647, 540, 4864, 267, 6518, 2992, 1932, 1454, 543, 1932, 2370, 13621, 267, 27920, 1947, 269, 2060, 14668, 815, 476, 271, 269, 277, 32586, 2736, 1575, 540, 4672, 568, 693, 476, 2764, 5147, 269, 1280, 1507, 2242, 540, 620, 5523, 334, 32586, 8417, 540, 519, 2736, 5346, 4266, 512, 321, 568, 24818, 339, 321, 9625, 910, 29857, 10382, 6398, 5611, 546, 563, 763, 30173, 3002, 13441, 729, 10924, 547, 581, 1369, 513, 2039, 689, 476, 273, 909, 547, 476, 1839, 654, 6230, 268, 273, 269, 7612, 476, 277, 2982, 519, 8417, 1267, 585, 519, 4832, 30173, 3002, 13441, 269, 3371, 519, 620, 5523, 334, 729, 1369, 476, 271, 269, 274, 268, 271, 269, 279, 4470, 593, 519, 1533, 540, 519, 2627, 630, 22091, 667, 1040, 634, 1110, 8215, 4672, 2736, 1575, 24132, 1369, 3368, 513, 3923, 269, 2060, 513, 6378, 476, 1428, 654, 6230, 268, 273, 30173, 3002, 13441, 267, 17745, 1154, 2557, 540, 4672, 729, 476, 274, 269, 273, 4699, 6155, 268, 272, 269, 898, 568, 2312, 689, 519, 13502, 602, 519, 30173, 3002, 13441, 1590, 2333, 1282, 4832, 865, 602, 538, 5147, 519, 1377, 568, 1586, 693, 476, 1839, 654, 6230, 268, 273, 269, 1284, 5833, 689, 519, 13502, 602, 519, 8417, 540, 519, 2736, 1575, 4266, 547, 519, 30173, 3002, 13441, 568, 24818, 339, 321, 9625, 910, 29857, 304, 342, 263, 310, 6230, 268, 273, 264, 910, 272, 6398, 272, 546, 563, 3528, 519, 1967, 540, 16171, 24266, 6377, 3631, 267, 527, 568, 2312, 602, 519, 4672, 2208, 568, 7361, 5462, 676, 519, 2011, 2837, 269, 769, 519, 2013, 4672, 10301, 11098, 525, 811, 982, 476, 272, 544, 32586, 8417, 540, 519, 4672, 11098, 547, 2011, 2837, 568, 711, 1164, 630, 8201, 476, 278, 1070, 5228, 519, 25107, 2203, 649, 723, 24818, 327, 9625, 476, 272, 270, 273, 513, 6398, 554, 268, 272, 9943, 29857, 306, 269, 1717, 267, 514, 519, 13621, 4005, 519, 24360, 3002, 13441, 525, 616, 1271, 25467, 609, 2837, 13008, 273, 11433, 481, 689, 519, 1611, 32586, 2039, 538, 519, 4672, 2736, 5346, 4266, 3587, 476, 1789, 546, 267, 328, 4318, 269, 24818, 339, 321, 9625, 910, 29857, 307, 11433, 481, 910, 272, 6398, 476, 1428, 546, 563, 1103, 519, 11848, 15798, 29679, 852, 8591, 593, 519, 13471, 538, 519, 2208, 4005, 543, 14014, 519, 4672, 689, 13621, 538, 4832, 269, 769, 938, 2013, 267, 7224, 6777, 543, 23060, 6777, 11098, 5795, 519, 11098, 525, 689, 476, 6344, 4699, 547, 476, 25546, 4699, 267, 27920, 1947, 267, 6112, 519, 3044, 2013, 5795, 476, 15757, 4699, 630, 8201, 476, 279, 1040, 4746, 519, 811, 972, 729, 6777, 32586, 2663, 519, 13621, 540, 4672, 3323, 25467, 519, 2039, 538, 519, 4672, 2736, 1575, 4266, 729, 476, 3374, 546, 269, 275, 20591, 290, 4785, 31064, 763, 5993, 4783, 540, 6777, 543, 4672, 2837, 543, 11098, 9356, 519, 4411, 2208, 4005, 540, 4239, 5336, 599, 543, 519, 2110, 4832, 630, 21801, 5025, 1872, 1040, 769, 519, 1353, 1032, 32586, 4672, 11098, 8057, 20406, 25467, 519, 2837, 538, 519, 4672, 2627, 4494, 729, 2630, 910, 1789, 11433, 481, 693, 4411, 652, 543, 693, 476, 272, 544, 3178, 519, 2837, 729, 2362, 982, 910, 1428, 11433, 481, 630, 8201, 476, 280, 1040, 769, 4832, 519, 4672, 729, 568, 18540, 563, 763, 3002, 6578, 568, 3254, 538, 7612, 476, 1015, 269, 634, 2627, 540, 519, 4672, 9867, 1063, 11953, 1533, 543, 6094, 6777, 3382, 25467, 782, 4832, 519, 2627, 729, 11953, 269, 634, 1279, 24859, 5982, 2306, 606, 5993, 4783, 9598, 730, 676, 519, 2837, 543, 6531, 1465, 267, 6112, 2121, 3859, 5982, 568, 4617, 538, 5162, 25814, 18804, 3728, 547, 1164, 2157, 538, 519, 13621, 4005, 950, 519, 620, 5523, 334, 11081, 269, 2690, 513, 24353, 3002, 13441, 540, 910, 1789, 654, 6230, 268, 273, 267, 21346, 2530, 676, 1016, 3916, 566, 1131, 581, 476, 272, 6515, 6155, 268, 272, 269, 769, 519, 2208, 4005, 14720, 4085, 540, 519, 4411, 2175, 32586, 24353, 3002, 13441, 568, 827, 910, 736, 654, 6230, 268, 273, 267, 8117, 538, 4832, 519, 4672, 11098, 1131, 6175, 676, 827, 476, 275, 4699, 1813, 547, 1016, 3916, 566, 563, 763, 2627, 3002, 13441, 525, 2992, 519, 4672, 2208, 543, 15835, 269, 22020, 540, 10865, 2627, 1648, 3666, 941, 7229, 585, 519, 3044, 4603, 630, 8368, 476, 274, 1040, 634, 2121, 1279, 24859, 5982, 2531, 7149, 519, 2627, 3002, 3666, 538, 519, 5162, 4005, 267, 6112, 519, 2121, 3859, 5982, 568, 2565, 585, 13621, 269, 634, 4365, 2175, 538, 2038, 5162, 543, 538, 2038, 5614, 616, 2565, 585, 519, 8990, 540, 519, 3259, 540, 519, 4672, 4005, 269, 634, 2318, 2627, 3002, 3666, 3366, 547, 519, 4028, 13621, 543, 2736, 1575, 540, 2244, 9724, 4672, 538, 5147, 563, 7661, 32586, 1761, 3818, 4458, 4672, 4783, 540, 4672, 11098, 729, 20533, 676, 670, 26996, 4811, 296, 269, 901, 729, 2944, 1510, 1519, 1022, 7344, 4672, 9271, 269, 634, 3044, 6724, 941, 1031, 281, 620, 5523, 334, 3160, 547, 476, 271, 269, 277, 25467, 519, 30173, 3002, 13441, 31085, 13302, 689, 476, 1839, 654, 6230, 268, 273, 547, 476, 273, 654, 6230, 268, 273, 689, 5239, 547, 2904, 25467, 1287, 538, 4873, 11219, 340, 569, 621, 729, 31085, 2799, 1394, 547, 476, 1839, 654, 6230, 268, 273, 269, 634, 4611, 11191, 14059, 29297, 582, 1227, 476, 14065, 4699, 693, 5021, 267, 6518, 568, 476, 1556, 4699, 2539, 982, 5833, 676, 519, 10763, 2203, 630, 292, 336, 269, 476, 277, 1040, 634, 2601, 568, 602, 519, 25107, 2203, 1705, 711, 2272, 585, 519, 30173, 3002, 13441, 538, 519, 4672, 2208, 4005, 269, 634, 4611, 4832, 15835, 729, 3160, 547, 519, 2208, 267, 548, 3058, 606, 1930, 1216, 1974, 540, 827, 476, 272, 269, 276, 3275, 269, 901, 568, 3833, 1279, 543, 1797, 602, 4672, 949, 14897, 676, 13621, 855, 7344, 2736, 720, 543, 20847, 540, 4672, 267, 604, 4386, 28872, 1238, 806, 606, 4505, 2736, 1575, 4266, 982, 6986, 32721, 269, 14171, 519, 15835, 2557, 540, 476, 274, 4699, 6155, 268, 272, 543, 519, 4672, 11098, 693, 2736, 720, 314, 274, 267, 476, 2918, 3910, 10472, 1797, 602, 519, 1930, 1216, 1974, 949, 581, 476, 1428, 268, 1789, 546, 3476, 1813, 547, 11707, 269, 634, 30173, 3002, 13441, 568, 835, 811, 1271, 9936, 547, 1852, 519, 4672, 13621, 538, 4832, 563, 19013, 267, 933, 798, 711, 723, 1022, 538, 2198, 6777, 543, 4672, 11098, 7422, 689, 1353, 3135, 269, 589, 2244, 9724, 4262, 4672, 5619, 538, 519, 3105, 4672, 4005, 630, 1001, 272, 264, 538, 590, 690, 334, 7345, 538, 23621, 802, 328, 13323, 630, 8201, 476, 272, 264, 7000, 602, 519, 5021, 11098, 540, 2244, 9724, 4672, 25295, 476, 273, 544, 269, 23621, 802, 328, 568, 4092, 5045, 540, 918, 582, 601, 685, 5500, 6816, 25467, 519, 23198, 2244, 9724, 4672, 6148, 8507, 676, 519, 4411, 18626, 2916, 13856, 676, 519, 590, 9200, 1014, 1164, 2604, 269, 634, 5993, 6172, 520, 1670, 1611, 2011, 5210, 538, 23621, 802, 328, 543, 918, 582, 601, 685, 5500, 6816, 941, 910, 1724, 11433, 481, 543, 910, 1428, 11433, 481, 267, 27920, 1947, 25467, 1282, 2038, 4672, 4005, 630, 12914, 1765, 4924, 1070, 1492, 6172, 520, 1670, 1611, 2011, 5210, 538, 23621, 802, 328, 543, 918, 582, 601, 685, 5500, 6816, 941, 910, 1839, 11433, 481, 543, 910, 2190, 11433, 481, 267, 27920, 1947, 269, 634, 21617, 2837, 538, 519, 4672, 4005, 538, 23621, 802, 328, 2164, 23198, 2244, 9724, 4262, 4672, 3379, 609, 602, 538, 918, 582, 601, 685, 5500, 6816, 267, 273, 11433, 481, 666, 3132, 476, 1428, 260, 811, 4672, 11098, 269, 769, 1840, 32586, 2244, 9724, 4672, 1472, 23621, 802, 328, 568, 4299, 676, 4195, 1216, 1102, 869, 689, 8933, 269, 19881, 2090, 8612, 602, 519, 4195, 1216, 4672, 666, 581, 693, 2547, 476, 1015, 260, 23198, 982, 519, 4262, 4672, 4646, 676, 29649, 1216, 563, 1103, 918, 582, 601, 685, 5500, 6816, 32586, 2842, 729, 2178, 269, 634, 10865, 3328, 2842, 3432, 538, 5162, 630, 12914, 1765, 2904, 264, 729, 476, 276, 269, 275, 544, 4732, 268, 272, 269, 589, 2178, 2842, 949, 3565, 547, 8901, 11375, 558, 23189, 540, 6777, 3892, 538, 2038, 5162, 4005, 267, 6518, 5555, 5540, 519, 6237, 3002, 19428, 540, 6777, 269, 589, 8417, 4603, 6700, 602, 2333, 540, 6777, 3002, 19428, 689, 476, 271, 269, 274, 547, 476, 271, 269, 276, 654, 6230, 268, 272, 269, 11433, 481, 910, 272, 538, 2038, 4672, 4005, 1131, 1267, 538, 476, 736, 4699, 811, 5021, 4672, 11098, 543, 513, 3018, 8488, 540, 4672, 2736, 1575, 4266, 269, 276, 12164, 12710, 4785, 12778, 306, 763, 5993, 4783, 630, 1001, 273, 1765, 1001, 274, 264, 540, 2244, 9724, 4262, 4672, 11098, 7178, 540, 918, 582, 601, 685, 5500, 6816, 1063, 700, 2194, 5271, 7256, 543, 5101, 590, 9200, 1014, 7256, 729, 11567, 538, 713, 1353, 269, 634, 6552, 15392, 1239, 729, 1031, 585, 2244, 9724, 4672, 7020, 269, 634, 538, 2198, 4365, 6728, 1239, 729, 1031, 607, 519, 6117, 3196, 585, 519, 5993, 4783, 540, 2244, 9724, 4672, 269, 589, 835, 8820, 25722, 574, 539, 8817, 31764, 8817, 5687, 17871, 6777, 543, 4672, 2203, 630, 295, 26996, 4811, 296, 264, 729, 4294, 547, 18082, 519, 5993, 8390, 540, 4262, 4672, 11098, 269, 589, 1297, 540, 2203, 6901, 941, 5645, 856, 547, 1353, 519, 8417, 540, 1585, 5007, 2188, 593, 8390, 540, 6777, 543, 4672, 11098, 563, 15152, 2312, 6607, 2783, 267, 14683, 22822, 14924, 520, 2592, 616, 1360, 3730, 547, 1174, 519, 1469, 7344, 2934, 540, 2244, 9724, 4672, 267, 514, 1880, 4672, 2736, 1575, 269, 26827, 3041, 2592, 616, 849, 10858, 547, 581, 1031, 585, 2244, 9724, 4672, 5464, 269, 634, 5993, 2837, 540, 476, 1001, 273, 268, 1001, 274, 729, 15911, 982, 3328, 6172, 520, 1670, 2783, 538, 1715, 590, 9200, 1014, 11866, 269, 634, 3232, 1611, 2011, 2837, 12628, 2630, 476, 271, 11433, 481, 593, 476, 2918, 5181, 269, 22702, 609, 3328, 6172, 520, 1670, 2783, 32586, 4832, 630, 20606, 264, 729, 15911, 563, 763, 16171, 24266, 1673, 904, 941, 476, 275, 476, 4281, 272, 11433, 481, 269, 323, 538, 519, 4672, 2208, 4005, 538, 476, 1001, 273, 268, 1001, 274, 269, 901, 729, 476, 31275, 11433, 481, 269, 323, 4130, 982, 519, 3328, 12119, 16171, 24266, 1673, 904, 269, 634, 5993, 5021, 1110, 8215, 4672, 11098, 540, 476, 1001, 273, 268, 1001, 274, 4005, 729, 476, 15094, 4699, 269, 2480, 2718, 2079, 676, 10763, 3631, 729, 849, 11840, 730, 585, 519, 3818, 4458, 4672, 11466, 4783, 543, 519, 5993, 5021, 4672, 11098, 269, 634, 942, 8200, 4262, 4672, 5687, 17871, 2203, 670, 26996, 4811, 296, 729, 849, 1031, 547, 4983, 519, 5993, 9979, 540, 4672, 11098, 543, 2837, 543, 741, 8417, 547, 519, 16550, 269, 634, 3044, 4704, 2203, 2196, 11729, 476, 15757, 4699, 12119, 5021, 4672, 11098, 269, 5637, 2418, 616, 4130, 982, 519, 5021, 2244, 9724, 4672, 11098, 6027, 538, 590, 690, 334, 7345, 1472, 23621, 802, 328, 269, 23621, 802, 328, 568, 4092, 5045, 540, 918, 582, 601, 685, 5500, 6816, 267, 8117, 519, 1611, 3232, 2011, 2837, 729, 972, 513, 2370, 21617, 982, 602, 538, 918, 582, 601, 685, 5500, 6816, 538, 4239, 1765, 22261, 543, 3967, 1765, 15037, 282, 918, 582, 601, 685, 5500, 6816, 568, 811, 13856, 676, 519, 7286, 1604, 543, 519, 4365, 729, 711, 602, 4411, 607, 538, 23621, 802, 328, 269, 634, 2244, 9724, 4672, 1472, 23621, 802, 328, 729, 849, 4299, 676, 519, 4195, 1216, 1102, 869, 689, 8933, 269, 2368, 2038, 2090, 8612, 602, 519, 4195, 1216, 4672, 1223, 581, 693, 2547, 476, 1015, 260, 23198, 982, 519, 4672, 4646, 676, 29649, 1216, 4672, 563, 21413, 6777, 32586, 4672, 11098, 666, 3914, 476, 13136, 4699, 538, 918, 582, 601, 685, 5500, 6816, 269, 634, 1198, 540, 13247, 593, 4672, 11098, 568, 1360, 7294, 26539, 547, 519, 1249, 602, 13247, 568, 3810, 6422, 267, 18034, 538, 2038, 5162, 4005, 269, 769, 519, 11848, 7909, 32586, 13980, 540, 13247, 7700, 547, 519, 6777, 13250, 610, 6777, 20142, 3424, 616, 3810, 8200, 593, 519, 5348, 641, 6776, 4365, 2783, 543, 519, 7814, 821, 2238, 269, 769, 606, 11848, 10720, 29679, 852, 6420, 538, 2038, 5162, 4005, 666, 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 ]
[ 20829, 267, 594, 7058, 1373, 30251, 543, 16614, 2509, 1866, 568, 1898, 1932, 780, 7692, 281, 25999, 1318, 267, 7705, 256, 5871, 21806, 4422, 513, 1279, 1259, 1100, 2339, 1141, 649, 616, 269, 1879, 3025, 13000, 1142, 824, 24963, 267, 621, 5932, 513, 16990, 5790, 585, 16764, 3238, 269, 9578, 267, 945, 6487, 910, 649, 1522, 1256, 2743, 930, 7874, 17137, 610, 8284, 17631, 2059, 519, 1259, 2439, 8334, 281, 901, 4992, 3078, 256, 3767, 594, 1174, 1946, 2921, 513, 4960, 593, 9683, 513, 10935, 25877, 1223, 1291, 547, 12300, 9035, 269, 8729, 585, 4687, 713, 2856, 609, 803, 267, 7585, 2439, 7692, 281, 1411, 2811, 10950, 267, 7705, 256, 3807, 3314, 547, 946, 1434, 10385, 543, 1246, 3106, 4808, 865, 649, 666, 1711, 20605, 8823, 1927, 256, 0, 2080, 568, 606, 1349, 689, 513, 2546, 912, 257, 290, 553, 3626, 32550, 5866, 10935, 8009, 454, 290, 553, 3626, 10935, 23342, 32550, 5866, 454, 12831, 691, 532, 689, 23342, 11824, 269, 4014, 596, 666, 849, 593, 606, 8076, 2244, 2861, 25877, 2267, 2478, 269, 654, 1180, 1359, 875, 547, 1129, 267, 14254, 2027, 2621, 269, 10801, 519, 21777, 8858, 3710, 538, 519, 11802, 25877, 2267, 2478, 267, 2823, 666, 11232, 531, 267, 1295, 928, 7637, 267, 476, 6110, 1004, 2965, 13930, 3046, 269, 4937, 1413, 4464, 547, 3717, 547, 1309, 525, 1513, 967, 10005, 267, 18385, 546, 18088, 269, 20098, 1654, 326, 553, 593, 1796, 2421, 4567, 269, 8347, 547, 3313, 2436, 596, 666, 960, 609, 3670, 5195, 269, 13555, 536, 9007, 568, 593, 3018, 17058, 267, 646, 814, 936, 519, 2359, 269, 5398, 2127, 649, 12404, 707, 29359, 609, 721, 581, 519, 5863, 5198, 543, 2661, 9913, 593, 544, 10185, 555, 745, 31914, 599, 2267, 2478, 269, 1358, 616, 519, 1688, 1790, 20557, 2781, 559, 902, 616, 513, 2039, 540, 782, 693, 707, 2689, 1344, 269, 1975, 754, 811, 2757, 15805, 18845, 1369, 23342, 11824, 14060, 269, 4746, 2139, 593, 513, 25877, 2267, 2478, 267, 5512, 341, 8721, 1742, 17218, 281, 9039, 267, 8087, 2829, 269, 9603, 1394, 689, 7227, 19843, 602, 10443, 7192, 9567, 540, 707, 5304, 917, 811, 735, 9489, 3144, 3268, 2476, 689, 519, 3010, 2237, 513, 2143, 17187, 5188, 1644, 547, 519, 1349, 1657, 267, 2519, 593, 834, 294, 5285, 11076, 2142, 2851, 257, 607, 851, 540, 834, 307, 30728, 1315, 2136, 2276, 1315, 3162, 1315, 4937, 2580, 6098, 693, 1453, 547, 4001, 873, 1455, 2631, 269, 634, 5188, 1058, 4125, 1079, 3197, 267, 7705, 543, 7585, 267, 7234, 4948, 3871, 543, 1818, 3664, 1759, 593, 1455, 2631, 269, 2422, 2241, 2474, 543, 513, 2067, 267, 2502, 3159, 269, 24372, 2521, 547, 281, 8528, 268, 19308, 2055, 543, 4267, 602, 12172, 519, 1888, 543, 1683, 4052, 1806, 543, 3137, 540, 1946, 1919, 4755, 267, 2014, 7146, 13716, 3347, 267, 543, 875, 1004, 3335, 2170, 538, 891, 3871, 269, 3097, 268, 20864, 7653, 602, 2154, 1620, 15749, 8100, 543, 13865, 10881, 547, 8207, 13509, 269, 3097, 2710, 711, 2446, 519, 1357, 1349, 543, 11716, 3877, 13061, 547, 519, 1888, 269, 0, 769, 713, 3184, 267, 649, 786, 5490, 883, 519, 1950, 1158, 540, 4589, 1222, 27900, 1369, 519, 2796, 540, 1367, 19971, 538, 4207, 7900, 6575, 269, 1284, 786, 2263, 875, 2029, 814, 22314, 2757, 18765, 540, 4589, 1222, 267, 5373, 2390, 519, 1349, 3177, 799, 11828, 519, 1764, 540, 3059, 2645, 971, 607, 2228, 2959, 267, 12240, 267, 543, 3301, 1949, 899, 2473, 292, 276, 16966, 593, 3860, 4082, 543, 9562, 269, 3414, 2502, 609, 7811, 10850, 543, 1483, 8996, 2013, 2090, 267, 596, 786, 2744, 513, 13857, 1620, 540, 519, 2591, 5185, 676, 5159, 2324, 538, 2221, 781, 10562, 5251, 780, 2414, 2253, 267, 1577, 721, 4983, 519, 1523, 540, 4589, 1222, 3294, 269, 27603, 267, 4589, 723, 1044, 9833, 607, 6852, 15888, 3743, 585, 741, 960, 781, 5169, 1275, 543, 2495, 269, 1717, 267, 950, 4294, 547, 10319, 1148, 3029, 899, 14364, 543, 2773, 267, 891, 8847, 1831, 9597, 5652, 269, 6034, 3645, 4589, 1222, 3587, 1256, 811, 7294, 1813, 547, 922, 16126, 593, 1585, 20334, 1107, 11051, 267, 9858, 267, 24420, 23412, 267, 3092, 269, 901, 12651, 2055, 827, 519, 6708, 547, 799, 513, 8689, 666, 3409, 2407, 4589, 1222, 936, 513, 2504, 780, 1103, 6236, 713, 3390, 267, 621, 568, 1898, 547, 5431, 602, 7499, 5698, 1281, 711, 8209, 2258, 622, 4589, 1222, 2924, 269, 5502, 267, 621, 28196, 1149, 873, 269, 634, 1909, 540, 519, 8689, 949, 6521, 2509, 1225, 566, 2864, 982, 5137, 267, 13057, 3309, 2609, 883, 23887, 17783, 1247, 1869, 6028, 4055, 585, 2123, 7664, 543, 5647, 269, 1280, 3236, 267, 12021, 3942, 8689, 8834, 15588, 1419, 11363, 1010, 24299, 607, 7104, 16904, 1141, 1169, 16045, 8309, 3648, 547, 519, 3803, 4062, 780, 3086, 267, 1577, 781, 2490, 938, 3007, 547, 6639, 7760, 5018, 538, 519, 1349, 269, 7913, 5867, 1683, 13778, 1569, 547, 2200, 267, 7175, 14971, 1313, 324, 2720, 547, 1711, 19180, 12644, 6220, 4992, 7870, 267, 3308, 20327, 267, 543, 7317, 5036, 269, 8616, 267, 789, 849, 6338, 1007, 6106, 540, 6988, 3823, 5491, 5316, 1081, 543, 7214, 3959, 2359, 269, 6333, 519, 1383, 540, 7917, 700, 788, 720, 267, 945, 3096, 5969, 12967, 2029, 14916, 538, 1010, 4773, 269, 3571, 5499, 1935, 2164, 538, 11617, 10875, 4715, 8163, 267, 2943, 12651, 9840, 1472, 2436, 646, 1058, 9003, 4309, 6284, 2016, 519, 16221, 2930, 4966, 3238, 3297, 519, 10207, 780, 11101, 267, 1514, 2923, 543, 2228, 4687, 2528, 2417, 20747, 6302, 1063, 1857, 6389, 543, 4357, 5876, 269, 20551, 1631, 7500, 1369, 2518, 5121, 1141, 2093, 3262, 6385, 267, 10641, 532, 2059, 519, 1259, 998, 1121, 30480, 267, 3261, 566, 267, 543, 9542, 269, 9182, 267, 7682, 532, 13737, 6392, 936, 513, 1808, 2856, 610, 3239, 9428, 5051, 4101, 780, 1607, 5012, 721, 547, 2992, 593, 6626, 2686, 10593, 5935, 4207, 11994, 540, 4589, 1222, 269, 5403, 19640, 6436, 4161, 519, 10206, 540, 1412, 10594, 514, 1275, 10086, 19163, 3079, 602, 782, 1568, 616, 20244, 12045, 269, 769, 1769, 540, 713, 5133, 267, 5310, 8942, 547, 14553, 5581, 543, 17997, 2278, 658, 1852, 3100, 13777, 850, 269, 5502, 267, 1522, 649, 2015, 8508, 5714, 640, 543, 13509, 607, 17271, 3344, 540, 2413, 5876, 2496, 4913, 267, 31544, 4145, 2611, 269, 25827, 3959, 4031, 6560, 547, 1832, 10605, 609, 4028, 6639, 2242, 267, 3056, 547, 1761, 14226, 543, 21568, 269, 3958, 267, 2883, 12587, 3335, 3870, 1346, 1655, 17479, 547, 6330, 3656, 3138, 2684, 3421, 267, 31328, 4540, 1379, 6384, 1369, 519, 2872, 780, 2026, 2104, 9439, 267, 7855, 267, 543, 5640, 267, 1620, 891, 13253, 7158, 596, 19918, 547, 3565, 6209, 3435, 269, 1635, 9691, 6313, 17888, 8155, 543, 19234, 609, 4244, 3631, 267, 596, 666, 948, 3337, 513, 811, 8537, 543, 12581, 3860, 5117, 269, 16871, 10462, 543, 22205, 3818, 13109, 1223, 1291, 547, 3078, 23484, 538, 1312, 3069, 543, 2259, 267, 23429, 519, 2361, 540, 27400, 8551, 543, 5807, 7524, 19929, 2066, 30095, 10665, 269, 0, 2080, 568, 606, 1349, 689, 513, 2546, 281, 834, 25740, 693, 519, 4647, 17163, 543, 2825, 5761, 3676, 540, 519, 1079, 3703, 3817, 538, 6732, 2707, 5834, 267, 2146, 19193, 543, 1160, 6570, 1053, 2030, 267, 519, 2245, 568, 693, 12394, 1469, 883, 4971, 538, 29712, 1712, 547, 29608, 519, 3135, 540, 4070, 5206, 4860, 30055, 267, 2154, 8074, 267, 543, 9258, 519, 11042, 540, 1373, 26428, 269, 6107, 476, 276, 568, 4646, 547, 581, 24402, 676, 811, 10959, 2861, 1646, 543, 7771, 540, 519, 1519, 2245, 267, 11374, 267, 4791, 27082, 13659, 267, 543, 519, 1299, 3149, 31309, 540, 4646, 5769, 267, 2473, 292, 276, 16966, 1062, 267, 19698, 267, 512, 893, 9375, 543, 729, 4052, 3334, 269, 1216, 9523, 568, 30461, 538, 10661, 609, 519, 946, 540, 10409, 3601, 267, 1082, 607, 2409, 267, 585, 513, 6538, 540, 2790, 543, 2009, 4427, 2466, 1154, 22016, 269, 476, 8182, 282, 476, 2537, 6113, 5292, 6979, 543, 30498, 281, 4647, 17163, 543, 2825, 5761, 476, 272, 910, 7073, 667, 11538, 5303, 267, 32492, 13088, 693, 7756, 2480, 2297, 2012, 476, 272, 281, 824, 7662, 7961, 520, 1235, 585, 519, 4826, 532, 540, 2409, 543, 519, 2749, 540, 2713, 12085, 263, 964, 580, 6231, 2237, 606, 3573, 543, 2143, 1576, 1770, 538, 513, 1837, 585, 2852, 1053, 1644, 547, 519, 1349, 1657, 267, 2519, 593, 25783, 19489, 300, 5058, 8121, 4811, 1315, 10572, 10615, 1315, 589, 3578, 11208, 2552, 7337, 625, 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 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 898, 666, 7654, 1445, 593, 13844, 513, 1808, 3077, 585, 519, 3919, 269, 2755, 930, 4213, 1265, 9740, 609, 713, 4640, 267, 972, 616, 2042, 543, 1761, 2042, 547, 2015, 6619, 540, 3843, 621, 693, 707, 6109, 12171, 514, 1734, 769, 1870, 267, 2724, 568, 2356, 513, 1966, 269, 898, 1223, 581, 1434, 547, 5352, 2724, 267, 2705, 950, 596, 616, 1175, 3478, 547, 17680, 1186, 609, 513, 1870, 267, 621, 1223, 581, 2653, 547, 6336, 2724, 3533, 269, 6969, 4358, 707, 1870, 267, 1020, 513, 3102, 1305, 540, 519, 1919, 596, 786, 991, 547, 8804, 543, 4010, 875, 1454, 2724, 596, 786, 991, 547, 948, 547, 1118, 621, 4755, 269, 9181, 707, 2754, 609, 824, 11570, 945, 723, 1995, 547, 2119, 547, 3382, 607, 1082, 3790, 607, 596, 666, 269, 1403, 596, 723, 2919, 707, 23492, 3902, 2039, 267, 1039, 476, 736, 260, 547, 602, 547, 3382, 519, 1942, 602, 596, 723, 711, 607, 2943, 20039, 10756, 28275, 513, 19396, 4828, 454, 2467, 616, 1082, 1114, 2081, 538, 799, 513, 1268, 666, 1376, 513, 4876, 269, 589, 1906, 949, 1376, 856, 538, 3406, 540, 1022, 1007, 4876, 1310, 7836, 1896, 1296, 538, 606, 711, 1644, 2361, 3274, 547, 8275, 602, 646, 1281, 711, 8275, 602, 1880, 2816, 2361, 547, 581, 835, 602, 666, 581, 11371, 1231, 1227, 16180, 269, 11524, 666, 1376, 513, 4876, 2094, 621, 568, 513, 1920, 1870, 267, 543, 602, 1367, 814, 1044, 19081, 539, 547, 1491, 519, 4087, 540, 741, 2385, 4433, 264, 2899, 519, 2385, 4433, 264, 616, 4712, 547, 13649, 269, 2368, 1004, 1175, 3343, 547, 723, 3893, 513, 2407, 6066, 2816, 267, 543, 616, 849, 711, 1360, 14126, 609, 14320, 811, 982, 513, 4747, 610, 7654, 602, 1367, 1175, 15055, 519, 4743, 540, 3354, 602, 835, 1522, 1205, 4947, 689, 513, 2816, 799, 568, 711, 6382, 14785, 269, 11524, 949, 3343, 547, 3489, 513, 2816, 585, 621, 610, 547, 1205, 519, 31449, 602, 949, 581, 5532, 547, 602, 1880, 4876, 2361, 267, 610, 789, 3274, 1616, 547, 581, 519, 20148, 269, 769, 602, 2013, 972, 616, 3606, 2043, 602, 723, 3893, 513, 1808, 4876, 3804, 693, 2295, 610, 513, 834, 323, 3195, 2816, 2580, 10756, 15447, 24376, 631, 23531, 454, 7072, 1103, 2221, 781, 4346, 267, 14078, 616, 7683, 5275, 729, 547, 3035, 5488, 3375, 1818, 267, 8273, 2157, 540, 25584, 267, 1732, 3028, 267, 543, 1505, 5647, 547, 2744, 8013, 6316, 936, 3606, 14078, 269, 15316, 1344, 2029, 723, 1044, 9168, 538, 547, 18294, 781, 1870, 2093, 538, 1931, 547, 3986, 8013, 4324, 269, 1717, 2073, 609, 519, 2333, 538, 6735, 267, 1344, 2029, 781, 3156, 538, 9746, 1100, 3476, 957, 607, 513, 1390, 2640, 269, 634, 991, 585, 1376, 909, 1870, 2994, 14340, 2059, 609, 519, 4367, 540, 519, 1620, 2486, 630, 306, 1399, 327, 516, 267, 476, 1220, 274, 264, 2348, 1344, 568, 1100, 3476, 513, 2707, 540, 8013, 5413, 269, 769, 2221, 781, 1870, 1604, 267, 10721, 917, 24376, 568, 6444, 607, 513, 1713, 2707, 540, 8013, 5413, 267, 875, 3533, 3906, 20964, 1702, 543, 5932, 4502, 856, 540, 621, 20964, 922, 6735, 269, 630, 4537, 4157, 5055, 264, 1103, 10756, 4467, 6570, 593, 12313, 5004, 570, 1389, 593, 589, 11683, 9577, 1879, 18227, 30825, 12540, 1231, 454, 22091, 1619, 2359, 15824, 513, 2101, 1909, 950, 8497, 7443, 19114, 269, 8111, 9679, 1590, 581, 2111, 547, 1265, 538, 799, 3344, 540, 513, 1870, 3790, 1590, 581, 8519, 543, 519, 4539, 602, 713, 2186, 540, 20214, 4865, 538, 519, 2698, 2754, 269, 769, 1978, 3871, 7245, 1590, 1689, 519, 1259, 519, 4674, 568, 1373, 2944, 538, 1931, 547, 6175, 3790, 15029, 538, 824, 6381, 4657, 835, 1880, 18261, 1776, 1522, 581, 2614, 267, 538, 8449, 3871, 513, 4123, 4752, 786, 6157, 2049, 543, 519, 4539, 786, 1764, 519, 1870, 607, 513, 2898, 10611, 12714, 5174, 18431, 267, 20941, 267, 513, 20892, 3684, 267, 814, 1336, 922, 7443, 19114, 4389, 799, 538, 2490, 6799, 513, 9758, 1966, 547, 1205, 519, 2754, 538, 519, 1296, 6619, 630, 7093, 322, 867, 1299, 5839, 323, 10735, 267, 26998, 1040, 5004, 2934, 4956, 602, 5665, 3790, 1590, 581, 8519, 538, 1931, 547, 5818, 7443, 19114, 585, 519, 5551, 1377, 269, 630, 7093, 322, 867, 1299, 5839, 323, 10735, 267, 26998, 1040, 1103, 1931, 547, 1832, 3790, 1524, 519, 2754, 991, 547, 1118, 513, 2143, 6514, 10756, 15812, 7566, 689, 3330, 4828, 454, 4504, 549, 23220, 7627, 3217, 1747, 782, 1472, 721, 267, 689, 519, 2274, 12858, 781, 14247, 753, 649, 5957, 936, 513, 13680, 29443, 547, 519, 5292, 17383, 5496, 10229, 543, 6725, 519, 5767, 12017, 787, 808, 2931, 262, 4999, 7594, 596, 1294, 1247, 10451, 707, 4436, 13402, 8585, 1027, 525, 547, 960, 269, 769, 13076, 547, 6182, 7238, 333, 549, 657, 267, 646, 5018, 602, 10229, 538, 2110, 729, 267, 834, 22013, 1853, 532, 9120, 1871, 547, 5561, 666, 581, 606, 5571, 6161, 540, 2359, 538, 1896, 1870, 6990, 2221, 267, 7132, 519, 1871, 2856, 568, 2808, 835, 540, 519, 1034, 2442, 21437, 1851, 1870, 9946, 543, 24243, 257, 630, 26364, 7238, 333, 549, 657, 267, 476, 1960, 278, 1040, 634, 3804, 540, 713, 11356, 568, 547, 5660, 6725, 607, 1373, 513, 1870, 6138, 267, 607, 1134, 607, 23138, 1871, 607, 1134, 607, 519, 3095, 1063, 891, 1079, 2188, 269, 634, 1870, 267, 9540, 4884, 834, 20112, 4147, 257, 28037, 655, 553, 786, 581, 1031, 547, 6946, 891, 2093, 8160, 1046, 7566, 1373, 513, 1870, 6138, 1103, 2487, 1296, 267, 519, 2856, 540, 6725, 814, 1831, 23503, 543, 11117, 2094, 621, 729, 18931, 10756, 26046, 2986, 6828, 23317, 1656, 19833, 543, 6725, 10618, 4828, 454, 1607, 2186, 540, 8357, 663, 636, 2934, 1895, 2460, 543, 6725, 543, 6455, 10618, 267, 538, 938, 3296, 269, 3689, 267, 713, 6257, 519, 1895, 1646, 5933, 543, 1175, 875, 1895, 1480, 3347, 1106, 269, 5822, 267, 621, 11828, 1895, 6455, 543, 6725, 10618, 269, 12059, 267, 713, 23607, 6455, 543, 6725, 10618, 7496, 269, 7053, 267, 621, 3091, 1082, 2553, 547, 6175, 7496, 547, 5355, 1895, 10618, 14371, 4981, 4886, 2791, 786, 3605, 2947, 11775, 538, 3384, 2516, 267, 2679, 267, 7088, 532, 267, 2343, 532, 267, 7900, 267, 543, 7755, 712, 940, 269, 630, 21659, 321, 1231, 1299, 25960, 267, 476, 1001, 272, 1040, 634, 8108, 3942, 568, 952, 519, 1895, 2818, 616, 15458, 827, 519, 1895, 781, 3483, 267, 2497, 267, 543, 5718, 269, 16840, 1265, 856, 1018, 568, 9090, 11807, 21274, 543, 3489, 741, 10467, 269, 634, 7088, 532, 3942, 568, 952, 519, 2818, 723, 741, 2093, 543, 6999, 547, 798, 1919, 741, 1880, 1259, 269, 901, 3942, 2934, 3181, 908, 267, 543, 30925, 1247, 519, 2319, 16976, 10756, 1692, 547, 28161, 3811, 538, 519, 31055, 543, 6725, 12752, 4828, 454, 11328, 26051, 1983, 616, 513, 4105, 1305, 540, 1983, 538, 519, 10229, 543, 6725, 3924, 543, 666, 581, 1031, 3927, 538, 782, 3344, 689, 519, 13567, 269, 570, 12941, 538, 267, 5955, 543, 7682, 4369, 616, 3833, 1271, 1914, 762, 1983, 547, 12492, 950, 6964, 538, 519, 10229, 543, 6725, 2872, 2094, 789, 1450, 585, 606, 2500, 543, 3811, 5604, 269, 23016, 267, 799, 786, 3340, 6217, 3927, 267, 2636, 2043, 1265, 856, 602, 6947, 666, 948, 8207, 2042, 543, 547, 3895, 1390, 2324, 1604, 267, 607, 513, 1267, 4611, 538, 1360, 2312, 2792, 1063, 2043, 610, 5310, 2516, 269, 25709, 687, 9727, 606, 1367, 781, 13170, 543, 28498, 540, 1271, 5955, 948, 547, 1118, 543, 1450, 547, 1205, 9283, 269, 2667, 1068, 4369, 1983, 538, 513, 2319, 1604, 1450, 513, 1268, 547, 1831, 513, 1895, 6205, 543, 547, 1831, 812, 569, 950, 2556, 538, 513, 3728, 1790, 864, 2324, 1604, 269, 21733, 3931, 891, 5686, 540, 5036, 540, 1983, 14998, 5520, 10756, 20684, 593, 4446, 1638, 334, 454, 294, 637, 8619, 14483, 13437, 2026, 513, 6109, 595, 8646, 7010, 568, 1869, 513, 9649, 538, 741, 2872, 269, 898, 568, 519, 10843, 719, 519, 1158, 6205, 538, 13033, 585, 519, 2121, 269, 4014, 789, 723, 3376, 2989, 782, 741, 28237, 1899, 11104, 3585, 2094, 789, 3355, 3323, 267, 789, 786, 1869, 1118, 606, 4674, 547, 6529, 547, 519, 1482, 321, 5350, 4566, 543, 4566, 602, 789, 1185, 950, 789, 3355, 3323, 856, 269, 595, 8646, 781, 2121, 8907, 1721, 519, 2063, 2883, 1032, 1185, 1044, 936, 29933, 5479, 9489, 269, 901, 568, 606, 796, 29207, 15344, 26920, 540, 2724, 547, 1205, 513, 2754, 547, 1628, 952, 596, 2015, 713, 547, 581, 2754, 568, 9090, 711, 1256, 1839, 1296, 2025, 269, 2986, 713, 29933, 5479, 9489, 717, 637, 8619, 1185, 513, 2121, 2744, 540, 476, 273, 269, 476, 278, 321, 11669, 9489, 269, 4256, 2121, 6455, 543, 2121, 4747, 723, 6738, 2479, 29757, 585, 519, 2250, 2947, 344, 8986, 3274, 676, 682, 2355, 543, 23451, 269, 9406, 1631, 972, 24437, 8907, 8057, 811, 982, 476, 5038, 260, 2600, 689, 519, 476, 1960, 280, 325, 14166, 29757, 547, 519, 1032, 476, 1220, 271, 16642, 269, 769, 519, 476, 1960, 278, 543, 476, 7176, 16642, 1296, 2121, 8907, 8057, 676, 3274, 7597, 260, 543, 476, 10619, 260, 5330, 5944, 269, 634, 2121, 10756, 763, 17791, 20664, 2920, 2986, 476, 1960, 277, 4828, 454, 19136, 14520, 1103, 519, 2038, 476, 736, 628, 476, 1911, 1296, 267, 5111, 476, 2004, 14078, 6417, 519, 5354, 540, 1034, 3377, 2923, 538, 13314, 269, 4653, 267, 1852, 540, 519, 3377, 2923, 814, 1044, 7307, 676, 1175, 3670, 11212, 3638, 3532, 2046, 14078, 269, 1290, 4751, 3091, 267, 5240, 29651, 267, 966, 13519, 558, 267, 18557, 267, 5384, 2782, 1676, 543, 595, 7034, 1378, 476, 3445, 260, 540, 519, 2527, 2923, 1004, 581, 1759, 2390, 585, 9623, 269, 769, 476, 2735, 267, 476, 3445, 260, 689, 519, 2923, 729, 11262, 3274, 676, 476, 2004, 3549, 865, 1018, 5949, 286, 769, 1250, 6644, 519, 17791, 20664, 11059, 540, 476, 1960, 277, 267, 4957, 519, 26313, 2872, 585, 519, 10782, 267, 8815, 2390, 883, 3652, 676, 12751, 10324, 9291, 22735, 593, 4924, 476, 279, 267, 2113, 562, 913, 1417, 657, 552, 18051, 31980, 552, 694, 529, 267, 621, 4843, 2101, 2242, 538, 4031, 18363, 10814, 7641, 267, 26313, 267, 543, 519, 5769, 269, 634, 1292, 3804, 729, 547, 5000, 6735, 538, 7658, 23890, 3549, 269, 4746, 267, 2832, 540, 519, 3652, 6462, 4896, 4283, 1022, 2186, 540, 10618, 1870, 543, 1577, 6725, 543, 6455, 10618, 1870, 2611, 8013, 10756, 19111, 5525, 540, 654, 1551, 656, 344, 9149, 3809, 4828, 454, 19111, 5530, 476, 272, 292, 878, 320, 9575, 547, 6718, 513, 5458, 476, 7761, 257, 8613, 689, 5851, 4884, 22997, 609, 519, 6765, 3769, 538, 519, 6718, 269, 1306, 513, 1267, 267, 18238, 320, 1185, 513, 4579, 585, 2533, 543, 5370, 1141, 519, 9042, 585, 519, 1434, 2392, 558, 7149, 543, 568, 6870, 896, 772, 6717, 9137, 476, 273, 630, 19968, 19938, 4083, 267, 10432, 4083, 267, 18567, 543, 23037, 540, 19833, 267, 476, 1001, 275, 264, 630, 308, 269, 595, 269, 595, 269, 910, 8121, 12087, 4041, 1079, 910, 590, 3201, 2464, 630, 1220, 273, 26895, 769, 519, 2680, 602, 18238, 320, 1185, 15548, 538, 513, 6666, 9042, 602, 729, 21276, 602, 1705, 711, 2154, 6765, 1352, 1131, 723, 3144, 1378, 519, 5370, 1282, 519, 942, 540, 9042, 630, 23562, 727, 344, 1299, 20388, 902, 267, 476, 1001, 272, 267, 6032, 269, 476, 4343, 272, 267, 476, 276, 4375, 1040, 901, 20314, 1890, 2783, 1705, 711, 2049, 607, 18238, 320, 543, 670, 32528, 717, 611, 12033, 1185, 513, 2790, 6876, 17640, 547, 519, 6765, 540, 519, 26725, 547, 1200, 2777, 269, 3131, 772, 6717, 9137, 476, 273, 972, 568, 513, 2337, 713, 1739, 2783, 676, 1249, 602, 670, 32528, 11418, 2322, 547, 960, 713, 2783, 607, 3606, 2474, 540, 13170, 538, 12394, 547, 5838, 519, 8613, 630, 23562, 727, 344, 1299, 20388, 902, 267, 476, 1001, 272, 267, 6032, 269, 476, 23884, 267, 476, 5325, 272, 1040, 563, 14813, 1663, 1878, 540, 16373, 27678, 827, 11426, 619, 23531, 454, 3080, 540, 519, 3119, 2645, 602, 3549, 543, 4213, 8415, 547, 3533, 13599, 543, 6338, 741, 1880, 2533, 543, 5924, 2472, 547, 1761, 5561, 666, 581, 998, 513, 10229, 3381, 269, 8871, 10899, 7044, 23223, 2406, 568, 606, 5140, 543, 3078, 1935, 547, 2344, 2047, 547, 519, 5304, 2094, 621, 14753, 547, 519, 5551, 3077, 2344, 1510, 519, 31484, 548, 540, 23140, 4041, 309, 3041, 12778, 5010, 338, 610, 2462, 1646 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1265, 602, 3009, 269, 4563, 10580, 5815, 519, 1297, 540, 16125, 593, 519, 1318, 5544, 269, 6519, 10580, 5815, 519, 1297, 540, 16125, 593, 519, 4636, 5544, 563, 258, 3630, 842, 29342, 619, 1948, 24490, 332, 785, 692, 1012, 12433, 519, 1297, 476, 279, 2918, 692, 301, 9331, 21612, 32602, 8656, 281, 12433, 519, 1297, 476, 279, 2918, 1210, 2338, 1496, 274, 267, 476, 277, 267, 476, 272, 267, 476, 277, 267, 476, 10436, 267, 476, 6872, 280, 316, 543, 2596, 12980, 4238, 22791, 267, 910, 267, 2608, 267, 1315, 1040, 3962, 540, 519, 2338, 666, 581, 1031, 1152, 2899, 563, 258, 3630, 842, 29342, 619, 1948, 4118, 1948, 15893, 2006, 807, 692, 1012, 4855, 1297, 705, 322, 692, 2252, 476, 4510, 272, 271, 322, 1341, 476, 6858, 629, 271, 815, 476, 9340, 6277, 322, 1265, 1297, 705, 322, 269, 13038, 3435, 949, 2291, 269, 0, 10000, 5765, 22391, 18704, 454, 9943, 692, 258, 5741, 328, 592, 4141, 674, 1600, 693, 606, 24234, 910, 10417, 783, 5530, 692, 273, 267, 279, 1428, 5784, 454, 273, 267, 278, 1015, 5784, 692, 13775, 593, 692, 275, 700, 10105, 454, 32417, 454, 24687, 454, 1892, 9509, 8745, 454, 4467, 618, 4422, 1934, 780, 6701, 596, 2386, 596, 1616, 547, 8786, 3143, 454, 1892, 2142, 519, 1101, 547, 6085, 692, 21366, 454, 13707, 5784, 454, 273, 267, 279, 1428, 454, 4002, 22391, 18704, 454, 271, 454, 5804, 21150, 2644, 454, 271, 454, 10831, 540, 21150, 2644, 454, 6872, 454, 288, 2388, 454, 306, 3873, 637, 454, 271, 454, 9965, 454, 271, 454, 299, 10105, 454, 275, 454, 21615, 2644, 476, 271, 454, 5591, 2377, 2644, 692, 5591, 4967, 585, 13472, 692, 2162, 5741, 328, 592, 4141, 674, 1600, 693, 606, 24234, 910, 10417, 783, 5530, 692, 272, 269, 476, 272, 269, 589, 5741, 850, 674, 1600, 693, 606, 24234, 589, 12497, 1353, 454, 273, 269, 476, 273, 269, 1879, 606, 1843, 568, 12628, 267, 519, 1152, 3364, 602, 568, 7133, 922, 5163, 568, 8904, 267, 575, 4586, 274, 269, 476, 274, 269, 1879, 606, 1843, 568, 12628, 267, 519, 1152, 3364, 602, 568, 7133, 922, 5163, 568, 8904, 267, 575, 1547, 32322, 568, 513, 3196, 267, 674, 4586, 275, 269, 476, 275, 269, 1879, 606, 1843, 568, 12628, 267, 519, 1152, 3364, 602, 568, 7133, 922, 5163, 568, 8904, 267, 575, 1547, 32322, 568, 513, 3196, 267, 674, 1547, 13053, 3081, 602, 513, 3196, 3123, 513, 2527, 267, 544, 2073, 547, 17108, 912, 276, 269, 476, 276, 269, 1924, 267, 950, 606, 1843, 568, 12628, 267, 621, 6238, 689, 1964, 630, 341, 1775, 815, 476, 271, 544, 4882, 1070, 543, 621, 5787, 919, 693, 9625, 266, 1015, 544, 4882, 1142, 2034, 563, 277, 269, 476, 277, 269, 1924, 267, 950, 606, 1843, 568, 12628, 267, 621, 6238, 689, 1964, 630, 341, 1775, 815, 476, 271, 544, 4882, 1070, 543, 621, 5787, 919, 693, 9625, 266, 1015, 544, 4882, 1142, 2034, 269, 1924, 267, 1142, 2034, 267, 519, 1843, 568, 10707, 476, 1015, 544, 4882, 5488, 982, 621, 729, 519, 2034, 1354, 563, 278, 269, 476, 278, 269, 4746, 267, 2094, 519, 1843, 568, 23960, 267, 621, 786, 2951, 513, 3152, 3845, 1142, 2034, 982, 621, 1705, 519, 2034, 1354, 563, 279, 269, 476, 279, 269, 4746, 267, 2094, 519, 1843, 568, 23960, 267, 621, 786, 2951, 513, 3152, 3845, 1142, 2034, 982, 621, 1705, 519, 2034, 1354, 269, 1924, 267, 621, 779, 6654, 602, 267, 519, 3476, 606, 1843, 8813, 267, 519, 5488, 621, 786, 979, 543, 519, 20991, 621, 786, 2887, 563, 280, 269, 476, 280, 269, 2913, 779, 2015, 606, 1843, 602, 779, 16207, 2786, 909, 269, 898, 4422, 909, 543, 1287, 25815, 547, 513, 3247, 269, 2311, 922, 5207, 1448, 267, 922, 31302, 6991, 568, 476, 271, 544, 4882, 269, 898, 1287, 6238, 18746, 607, 952, 12628, 689, 1964, 693, 602, 4463, 269, 476, 271, 544, 4882, 454, 1015, 269, 476, 1015, 269, 4438, 519, 16057, 851, 540, 519, 5163, 267, 519, 1843, 25815, 689, 922, 3355, 16057, 6991, 267, 642, 1775, 2073, 547, 476, 271, 6991, 269, 476, 271, 544, 4882, 910, 575, 1341, 575, 910, 341, 1775, 1341, 341, 1775, 454, 1556, 269, 476, 1556, 269, 4438, 519, 16057, 851, 540, 519, 5163, 267, 519, 1843, 25815, 689, 922, 3355, 16057, 6991, 267, 642, 1775, 2073, 547, 476, 271, 6991, 269, 476, 271, 544, 4882, 910, 575, 1341, 575, 910, 341, 1775, 1341, 341, 1775, 1284, 917, 922, 23960, 1317, 922, 6991, 568, 4657, 563, 1321, 269, 476, 1321, 269, 4438, 519, 16057, 851, 540, 519, 5163, 267, 519, 1843, 25815, 689, 922, 3355, 16057, 6991, 267, 642, 1775, 2073, 547, 476, 271, 6991, 269, 476, 271, 544, 4882, 910, 575, 1341, 575, 910, 341, 1775, 1341, 341, 1775, 1284, 917, 922, 23960, 1317, 922, 6991, 568, 4657, 269, 4595, 621, 779, 13302, 538, 6991, 267, 649, 2161, 621, 779, 23960, 11874, 563, 1724, 269, 476, 1724, 269, 3962, 2034, 267, 621, 568, 3001, 693, 476, 1015, 544, 4882, 14887, 982, 621, 729, 519, 2034, 1354, 269, 476, 271, 544, 4882, 910, 2412, 544, 4882, 910, 1789, 544, 4882, 910, 736, 544, 4882, 910, 1015, 544, 4882, 476, 2412, 544, 4882, 476, 1789, 544, 4882, 476, 736, 544, 4882, 476, 1015, 544, 4882, 454, 1691, 269, 476, 1691, 269, 3962, 2034, 267, 621, 568, 3001, 693, 476, 1015, 544, 4882, 14887, 982, 621, 729, 519, 2034, 1354, 269, 476, 271, 544, 4882, 910, 2412, 544, 4882, 910, 1789, 544, 4882, 910, 736, 544, 4882, 910, 1015, 544, 4882, 476, 2412, 544, 4882, 476, 1789, 544, 4882, 476, 736, 544, 4882, 476, 1015, 544, 4882, 4495, 621, 10301, 519, 1283, 543, 5956, 547, 2887, 1394, 267, 621, 568, 3001, 693, 476, 1015, 544, 4882, 5488, 1142, 2034, 563, 1428, 269, 476, 1428, 269, 3962, 2034, 267, 621, 568, 3001, 693, 476, 1015, 544, 4882, 14887, 982, 621, 729, 519, 2034, 1354, 269, 476, 271, 544, 4882, 910, 2412, 544, 4882, 910, 1789, 544, 4882, 910, 736, 544, 4882, 910, 1015, 544, 4882, 476, 2412, 544, 4882, 476, 1789, 544, 4882, 476, 736, 544, 4882, 476, 1015, 544, 4882, 4495, 621, 10301, 519, 1283, 543, 5956, 547, 2887, 1394, 267, 621, 568, 3001, 693, 476, 1015, 544, 4882, 5488, 1142, 2034, 269, 6787, 3001, 909, 610, 1524, 267, 519, 1843, 5787, 919, 693, 519, 1482, 2557, 2507, 1015, 544, 4882, 476, 273, 4586, 1626, 269, 476, 1704, 269, 3767, 267, 1577, 779, 2015, 3615, 602, 616, 16207, 909, 543, 23276, 693, 519, 1482, 942, 267, 513, 1788, 850, 17991, 693, 606, 5086, 563, 1704, 269, 476, 1240, 269, 3767, 267, 1577, 779, 2015, 3615, 602, 616, 16207, 909, 543, 23276, 693, 519, 1482, 942, 267, 513, 1788, 850, 17991, 693, 606, 5086, 269, 634, 3615, 685, 7299, 543, 8880, 20517, 616, 4625, 4830, 540, 1142, 824, 563, 1240, 269, 476, 866, 269, 634, 1843, 786, 1847, 19794, 4010, 519, 1482, 607, 621, 1131, 952, 16207, 2786, 909, 269, 26432, 5163, 21222, 7267, 5163, 454, 866, 269, 476, 736, 269, 634, 1843, 786, 1847, 19794, 4010, 519, 1482, 607, 621, 1131, 952, 16207, 2786, 909, 269, 898, 786, 1847, 23276, 1175, 899, 621, 1131, 952, 621, 941, 12902, 2066, 513, 5347, 267, 1377, 267, 2627, 269, 26432, 5163, 21222, 7267, 5163, 454, 736, 269, 476, 2641, 269, 898, 786, 17108, 19794, 269, 898, 786, 1847, 693, 513, 3586, 6991, 23276, 269, 575, 642, 454, 2641, 269, 476, 2420, 269, 2913, 779, 2161, 918, 1803, 28520, 513, 3440, 693, 930, 6991, 267, 642, 2073, 693, 476, 2568, 11019, 1657, 519, 8880, 269, 476, 2568, 11019, 642, 454, 2420, 269, 476, 2537, 269, 2913, 779, 2161, 918, 1803, 28520, 513, 3440, 693, 930, 6991, 267, 642, 2073, 693, 476, 2568, 11019, 1657, 519, 8880, 269, 476, 2568, 11019, 642, 634, 16207, 3440, 568, 3001, 16057, 543, 23276, 693, 519, 1482, 942, 563, 2537, 269, 476, 2190, 269, 2913, 779, 2161, 918, 1803, 28520, 513, 3440, 693, 930, 6991, 267, 642, 2073, 693, 476, 2568, 11019, 1657, 519, 8880, 269, 476, 2568, 11019, 642, 634, 16207, 3440, 568, 3001, 16057, 543, 23276, 693, 519, 1482, 942, 269, 634, 3440, 814, 606, 3355, 7299, 6991, 267, 642, 586, 1547, 642, 586, 454, 2190, 269, 476, 1839, 269, 2913, 779, 2161, 918, 1803, 28520, 513, 3440, 693, 930, 6991, 267, 642, 2073, 693, 476, 2568, 11019, 1657, 519, 8880, 269, 476, 2568, 11019, 642, 634, 16207, 3440, 568, 3001, 16057, 543, 23276, 693, 519, 1482, 942, 269, 634, 3440, 814, 606, 3355, 7299, 6991, 267, 642, 586, 1547, 642, 586, 898, 849, 814, 606, 3355, 8880, 6991, 267, 642, 1535, 1547, 642, 1535, 454, 1839, 269, 476, 2918, 269, 642, 586, 815, 642, 5609, 19569, 365, 476, 2568, 11019, 642, 642, 586, 642, 1535, 454, 2918, 269, 476, 2767, 269, 642, 586, 815, 642, 5609, 19569, 365, 476, 2568, 11019, 642, 642, 586, 642, 1535, 642, 1535, 815, 642, 5430, 19569, 365, 454, 2767, 269, 476, 2764, 269, 642, 586, 815, 642, 5609, 19569, 365, 476, 2568, 11019, 642, 815, 476, 2004, 544, 4882, 642, 586, 642, 1535, 642, 1535, 815, 642, 5430, 19569, 365, 2913, 779, 2161, 918, 1803, 998, 519, 3440, 693, 476, 2004, 544, 4882, 269, 3502, 3983, 2336, 2764, 269, 476, 3066, 269, 642, 586, 815, 642, 5609, 19569, 365, 476, 2568, 11019, 642, 815, 476, 2004, 544, 4882, 642, 586, 642, 1535, 642, 1535, 815, 642, 5430, 19569, 365, 2913, 779, 2161, 918, 1803, 998, 519, 3440, 693, 476, 2004, 544, 4882, 269, 3502, 3983, 256, 1924, 1018, 779, 519, 8880, 543, 7299, 29702, 540, 519, 12235, 888, 3066, 269, 476, 1789, 269, 476, 2568, 11019, 642, 815, 476, 2004, 544, 4882, 642, 586, 815, 476, 6246, 544, 4882, 642, 1535, 454, 1789, 269, 476, 4029, 269, 476, 2568, 11019, 642, 815, 476, 2004, 544, 4882, 642, 586, 815, 476, 6246, 544, 4882, 642, 1535, 815, 476, 1839, 544, 4882, 454, 4029, 269, 476, 3953, 269, 476, 2568, 11019, 642, 815, 476, 2004, 544, 4882, 642, 586, 815, 476, 6246, 544, 4882, 642, 1535, 815, 476, 1839, 544, 4882, 1548, 1058, 4755, 547, 519, 8880, 6991, 607, 942, 10596, 888, 3953, 269, 476, 3451, 269, 476, 2568, 11019, 642, 815, 476, 2004, 544, 4882, 642, 586, 815, 476, 6246, 544, 4882, 642, 1535, 815, 476, 1839, 544, 4882, 1548, 1058, 4755, 547, 519, 8880, 6991, 267, 642, 1535, 2073, 607, 942, 10596, 286, 23875, 256, 1703, 568, 1100, 8880, 3196, 267, 4061, 267, 1100, 8880, 10231, 563, 3451, 269, 476, 4097, 269, 642, 1535, 642, 1535, 642, 1535, 642, 1535, 642, 1535, 642, 1535, 642, 1535, 642, 1535, 642, 1535, 454, 4097, 269, 476, 3374, 269, 476, 2568, 11019, 642, 815, 476, 2004, 544, 4882, 642, 586, 815, 476, 6246, 544, 4882, 642, 1535, 815, 476, 1839, 544, 4882, 1548, 1058, 4755, 547, 519, 7299, 6991, 267, 642, 586, 2073, 607, 942, 10596, 888, 3374, 269, 476, 3607, 269, 476, 2568, 11019, 642, 815, 476, 2004, 544, 4882, 642, 586, 815, 476, 6246, 544, 4882, 642, 1535, 815, 476, 1839, 544, 4882, 1548, 1058, 4755, 547, 519, 7299, 6991, 267, 642, 586, 2073, 607, 942, 10596, 286, 898, 1058, 6175, 2394, 621, 10301, 519, 1283, 540, 922, 8184, 267, 1287, 2333, 607, 621, 8813, 563, 3607, 269, 476, 4391, 269, 642, 586, 642, 586, 642, 586, 642, 586, 642, 586, 642, 586, 642, 586, 642, 586, 642, 586, 815, 476, 271, 454, 4391, 269, 476, 4343, 269, 476, 2568, 11019, 642, 815, 476, 2004, 544, 4882, 642, 586, 815, 476, 6246, 544, 4882, 642, 1535, 815, 476, 1839, 544, 4882, 1548, 1058, 4755, 547, 519, 7299, 10231, 607, 942, 10596, 888, 4343, 269, 476, 4375, 269, 476, 2568, 11019, 642, 815, 476, 2004, 544, 4882, 642, 586, 815, 476, 6246, 544, 4882, 642, 1535, 815, 476, 1839, 544, 4882, 1548, 1058, 4755, 547, 519, 7299, 10231, 607, 942, 10596, 286, 23875, 269, 24665, 566, 568, 8904, 267, 575, 2073, 543, 3788, 693, 476, 1015, 544, 4882, 476, 273, 4586, 4375, 269, 476, 2412, 269, 575, 815, 476, 1015, 544, 4882, 575, 575, 575, 575, 575, 575, 575, 575, 0, 1012, 588, 1551, 327, 684, 614, 476, 273, 1296, 3516, 12722, 568, 593, 513, 1007, 3635, 20786, 269, 1677, 2253, 267, 1010, 26519, 1281, 711, 1616, 1864, 547, 2347, 811, 982 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 16324, 17933, 269, 898, 666, 4125, 630, 272, 264, 14045, 513, 2013, 593, 519, 4493, 540, 835, 779, 1378, 3609, 7375, 282, 630, 273, 264, 14045, 513, 2013, 593, 519, 4493, 540, 606, 679, 642, 4084, 10952, 3069, 282, 4097, 630, 274, 264, 8757, 856, 547, 6430, 606, 3390, 519, 6571, 540, 799, 568, 711, 1898, 547, 519, 6364, 540, 519, 2013, 282, 3374, 543, 630, 275, 264, 1932, 11593, 1167, 8973, 513, 1991, 30675, 1510, 6236, 2436, 621, 568, 13886, 547, 588, 732, 20068, 529, 2126, 563, 1607, 568, 711, 519, 1747, 547, 5581, 16324, 17933, 609, 8856, 269, 5502, 267, 1250, 6662, 568, 547, 2491, 875, 16324, 17933, 267, 2705, 3989, 267, 543, 519, 1857, 779, 3210, 547, 621, 9305, 547, 16324, 7115, 269, 1306, 5018, 1657, 267, 16324, 7115, 543, 16324, 27047, 842, 630, 1492, 6587, 540, 17933, 264, 616, 538, 2169, 878, 2406, 13615, 547, 835, 1776, 269, 5637, 2832, 547, 2061, 16488, 689, 17874, 16312, 13917, 2326, 630, 31347, 1857, 6644, 610, 741, 2123, 5784, 264, 950, 789, 6430, 2665, 269, 1530, 523, 538, 713, 1769, 267, 1857, 9880, 540, 16488, 585, 17933, 568, 711, 8209, 513, 3463, 547, 16324, 7115, 282, 621, 568, 513, 9148, 547, 16324, 7115, 269, 2991, 782, 267, 621, 3788, 519, 1909, 540, 519, 23328, 547, 9777, 622, 543, 519, 4140, 26547, 547, 4612, 269, 1323, 19191, 5480, 968, 5586, 529, 331, 919, 689, 519, 14541, 2223, 543, 3976, 968, 16780, 30294, 593, 519, 23328, 779, 13338, 32005, 1848, 3607, 22694, 908, 689, 519, 14541, 968, 323, 652, 549, 903, 519, 1697, 1439, 540, 32198, 543, 267, 4061, 267, 568, 519, 6574, 3463, 547, 16324, 7115, 267, 519, 1797, 547, 602, 1697, 1439, 1848, 4391, 7600, 545, 1944, 16488, 585, 16324, 17933, 568, 513, 1259, 540, 22348, 16488, 547, 1685, 741, 1697, 1599, 1107, 16208, 519, 9139, 1700, 553, 2818, 540, 519, 16324, 7936, 269, 29576, 7512, 16488, 547, 8275, 811, 4628, 519, 2259, 540, 24937, 9048, 4582, 17473, 950, 789, 6430, 2665, 267, 519, 1482, 6662, 602, 16324, 7115, 1193, 1161, 547, 3035, 563, 10000, 547, 713, 1448, 267, 594, 723, 21350, 5367, 930, 22027, 602, 1857, 9880, 540, 16488, 13514, 513, 4049, 3463, 547, 16324, 7115, 269, 1809, 972, 568, 835, 1259, 538, 799, 24245, 9880, 540, 16488, 685, 3664, 666, 14207, 519, 7115, 540, 519, 10470, 267, 1510, 15558, 1154, 2640, 538, 519, 1106, 540, 11180, 7589, 610, 16324, 27047, 842, 269, 589, 1483, 8594, 6818, 602, 519, 15597, 7150, 5784, 540, 2797, 31794, 1107, 15628, 267, 519, 3377, 2923, 267, 543, 5604, 6868, 1107, 786, 2783, 519, 1604, 538, 799, 16488, 7500, 267, 3056, 4876, 16490, 2818, 540, 519, 5313, 4140, 26547, 547, 20688, 741, 5947, 902, 547, 14883, 547, 519, 5784, 540, 519, 20833, 9565, 563, 763, 1184, 676, 799, 4876, 16488, 1107, 1346, 945, 3343, 13319, 547, 2362, 610, 811, 20380, 10470, 1107, 666, 4835, 1125, 16918, 6644, 568, 9425, 3551, 269, 898, 568, 1152, 2067, 602, 1082, 1533, 2275, 22620, 16488, 543, 16488, 593, 2539, 5313, 10470, 1131, 3343, 547, 4434, 998, 519, 16034, 269, 1358, 917, 602, 27504, 543, 6845, 2209, 13840, 723, 9053, 547, 6966, 16488, 945, 723, 3105, 16324, 1995, 269, 4343, 1358, 849, 917, 602, 16488, 4171, 1991, 5947, 902, 723, 9863, 10002, 531, 23534, 547, 27504, 610, 6845, 2209, 723, 1185, 513, 9875, 942, 1373, 9930, 3990, 543, 9672, 547, 1007, 16324, 9708, 269, 6270, 4876, 16488, 3976, 786, 723, 606, 24539, 547, 726, 659, 622, 519, 5604, 6868, 945, 789, 18783, 1131, 1404, 513, 1909, 538, 741, 2104, 15038, 630, 553, 1134, 607, 519, 4357, 6644, 24237, 945, 1131, 3180, 8521, 593, 741, 9930, 5209, 1040, 19396, 16488, 786, 723, 2601, 547, 6430, 2665, 1759, 711, 1175, 593, 741, 9237, 16759, 540, 1018, 519, 1876, 2965, 3340, 267, 855, 849, 267, 693, 519, 19114, 267, 593, 741, 2631, 540, 1018, 4093, 519, 2797, 31794, 949, 3870, 563, 7069, 2631, 568, 602, 519, 3463, 1934, 7361, 2501, 689, 2818, 540, 519, 16918, 281, 519, 27504, 945, 9930, 3729, 16488, 267, 519, 6845, 2209, 945, 6430, 2436, 547, 6166, 873, 267, 519, 20859, 543, 21107, 1235, 945, 3382, 519, 1184, 267, 543, 519, 15628, 945, 3142, 2604, 547, 7703, 593, 741, 16167, 538, 5604, 269, 634, 3463, 547, 16324, 7115, 1281, 711, 2097, 689, 30852, 1377, 539, 676, 8723, 2818, 540, 519, 1857, 630, 21955, 538, 810, 30138, 607, 1346, 4961, 723, 519, 1379, 267, 2901, 14350, 610, 15217, 267, 547, 1847, 31794, 1040, 7225, 2772, 7115, 814, 811, 547, 4250, 689, 606, 21107, 538, 634, 6115, 5403, 982, 689, 513, 20171, 676, 606, 20822, 5816, 3455, 563, 288, 1906, 20340, 616, 538, 1931, 269, 901, 2079, 568, 711, 5921, 547, 30279, 519, 8699, 540, 1977, 16488, 267, 945, 538, 1250, 1995, 11441, 1522, 1176, 547, 8207, 3656, 13882, 538, 1434, 5132, 543, 3343, 547, 7413, 519, 3310, 540, 5007, 9270, 950, 789, 6430, 2665, 269, 898, 568, 1152, 547, 5431, 602, 16488, 616, 1480, 7919, 543, 602, 267, 607, 3425, 267, 789, 616, 11630, 547, 1582, 29027, 607, 3025, 3116, 269, 8074, 849, 602, 16918, 9880, 3006, 666, 723, 519, 6587, 1198, 269, 898, 666, 2014, 16488, 547, 2007, 538, 741, 31623, 543, 20549, 547, 31617, 538, 519, 3068, 540, 1857, 18941, 269, 634, 991, 547, 2226, 16324, 7115, 711, 5976, 9227, 519, 5784, 540, 3532, 2609, 540, 519, 1857, 729, 835, 540, 519, 4128, 519, 10966, 7040, 538, 1773, 10165, 623, 13873, 11856, 642, 269, 8865, 344, 11855, 607, 513, 4493, 585, 20808, 681, 4141, 642, 269, 654, 1228, 563, 1692, 267, 1287, 267, 798, 649, 4831, 630, 528, 693, 2547, 7413, 264, 519, 2067, 24539, 547, 1225, 787, 3870, 609, 31794, 602, 568, 4810, 676, 16488, 945, 4126, 585, 15038, 547, 513, 2362, 5480, 286, 589, 1434, 4358, 1448, 1131, 581, 547, 2539, 519, 2837, 540, 519, 16324, 22190, 2002, 906, 1184, 269, 7225, 2471, 945, 723, 1100, 2601, 547, 4250, 602, 519, 7022, 610, 14130, 786, 29506, 1125, 741, 5947, 902, 267, 1899, 676, 1899, 267, 538, 513, 6968, 585, 2963, 540, 20748, 31249, 344, 630, 528, 646, 637, 344, 1070, 786, 581, 1447, 12155, 547, 4739, 1346, 5947, 902, 547, 581, 21443, 762, 547, 16918, 6644, 269, 901, 568, 711, 513, 1289, 585, 519, 14130, 547, 15995, 6510, 922, 13840, 7347, 543, 1271, 1909, 538, 519, 21533, 1184, 269, 898, 568, 1152, 513, 1289, 547, 1445, 593, 9930, 710, 525, 685, 2489, 16324, 24866, 543, 4612, 633, 16097, 538, 9114, 340, 540, 741, 9053, 4093, 538, 1880, 2665, 563, 293, 1168, 1131, 15539, 602, 16488, 1590, 581, 968, 16451, 547, 1118, 3664, 2687, 547, 519, 1876, 267, 1510, 2543, 547, 2797, 610, 1857, 2604, 1848, 4375, 1809, 16324, 7115, 568, 711, 513, 835, 17574, 8265, 269, 1284, 1202, 3634, 938, 16488, 689, 1554, 3562, 6377, 1857, 12503, 711, 1317, 649, 1616, 873, 547, 1599, 607, 3531, 4577, 25330, 540, 519, 1857, 1719, 267, 855, 10502, 1317, 538, 938, 13338, 1062, 741, 1909, 568, 865, 5402, 4931, 30533, 539, 269, 769, 824, 1913, 267, 519, 9030, 18689, 25808, 540, 16324, 7115, 616, 711, 519, 16488, 2933, 267, 855, 519, 1396, 580, 1218, 945, 2408, 1354, 873, 538, 519, 13922, 540, 3478, 513, 4023, 21199, 267, 543, 267, 6038, 267, 519, 1977, 1004, 945, 1413, 547, 741, 10470, 585, 31717, 640, 269, 1530, 523, 538, 713, 1769, 267, 1857, 9880, 540, 519, 10470, 1281, 711, 23223, 2406, 1459, 513, 3463, 547, 16324, 7115, 267, 855, 2965, 666, 1404, 513, 1883, 1909, 538, 4180, 602, 519, 4140, 26547, 3788, 4830, 269, 6270, 31886, 616, 513, 1259, 540, 10912, 593, 16488, 547, 2611, 21705, 547, 741, 1909, 607, 1033, 3737, 1163, 895, 619, 540, 519, 1876, 267, 543, 547, 1965, 3832, 342, 9048, 4582, 17473, 971, 607, 741, 1378, 2392, 850, 2388, 543, 1857, 6644, 950, 14045, 2665, 269, 1306, 12751, 10456, 5261, 20999, 570, 10762, 13657, 539, 267, 968, 301, 5847, 11148, 811, 547, 11904, 16488, 6297, 538, 741, 3664, 543, 11816, 13124, 1151, 7228, 748, 547, 798, 3169, 5126, 982, 519, 9637, 602, 1169, 957, 540, 741, 338, 568, 547, 581, 1641, 547, 519, 10995, 22987, 540, 741, 8284, 2367, 267, 543, 547, 741, 6596, 9880, 1848, 2412, 454, 272, 589, 9168, 4528, 540, 713, 1557, 1101, 7902, 538, 634, 31869, 1326, 1144, 4521, 4750, 476, 4817, 630, 275, 264, 630, 1220, 278, 1916, 273, 23765, 589, 269, 5839, 294, 2784, 344, 543, 3627, 654, 269, 11709, 667, 648, 333, 267, 968, 288, 28940, 25799, 4521, 19937, 593, 9466, 267, 6271, 7027, 540, 12832, 2801, 320, 9495, 13019, 1258, 4521, 5623, 476, 3374, 630, 1220, 273, 2567, 476, 32699, 267, 799, 524, 2572, 3798, 595, 2001, 267, 12751, 10456, 281, 589, 22335, 540, 23778, 25303, 630, 6124, 3840, 281, 17363, 1299, 5576, 13831, 267, 476, 1960, 278, 1070, 476, 4343, 280, 1700, 4375, 273, 563, 274, 6423, 8176, 808, 269, 29142, 2280, 872, 267, 12789, 1421, 968, 297, 644, 2772, 2920, 13659, 610, 7225, 2772, 3026, 947, 640, 281, 634, 667, 5861, 269, 10588, 7040, 779, 22518, 10456, 22684, 2223, 634, 31869, 1326, 1144, 4521, 4750, 282, 476, 3445, 630, 1220, 273, 2567, 476, 7597, 274, 267, 799, 524, 2572, 918, 1069, 527, 700, 269, 8065, 267, 968, 763, 25303, 7040, 281, 962, 16518, 267, 4653, 267, 543, 8751, 6563, 2223, 18518, 4521, 5623, 476, 2764, 630, 1960, 276, 2567, 476, 30444, 563, 275, 7917, 700, 269, 9466, 267, 968, 5804, 23778, 25303, 547, 654, 754, 749, 26186, 523, 281, 589, 5530, 540, 7225, 2772, 2271, 574, 9179, 543, 7225, 2772, 8682, 7304, 652, 571, 842, 2223, 2160, 540, 23916, 693, 9741, 9412, 4521, 5623, 476, 2764, 630, 1220, 276, 2567, 476, 273, 1700, 274, 563, 276, 8834, 667, 269, 28732, 267, 968, 8005, 20126, 606, 18763, 7225, 26547, 9495, 8419, 4446, 4750, 476, 4281, 630, 1220, 275, 2567, 476, 2190, 1700, 1839, 267, 799, 11828, 519, 5137, 540, 543, 991, 585, 606, 4830, 4140, 26547, 563, 277, 32000, 267, 968, 1103, 9080, 5534, 2271, 574, 9179, 2223, 24354, 5131, 4964, 267, 4989, 476, 1626, 267, 476, 1220, 277, 563, 278, 9253, 9109, 645, 269, 11066, 267, 968, 290, 761, 6291, 540, 7040, 5668, 1263, 539, 2223, 9628, 17650, 2317, 267, 5239, 476, 1626, 267, 476, 2735, 276, 563, 279, 772, 2529, 269, 4790, 1421, 2376, 8633, 267, 3296, 476, 273, 563, 280, 5398, 4521, 3143, 269, 476, 10441, 1700, 15171, 630, 1960, 277, 1916, 1015, 5398, 4521, 3143, 269, 476, 10441, 1700, 21172, 630, 1960, 277, 1916, 1556, 5398, 4521, 3143, 269, 476, 11820, 1700, 16825, 267, 6810, 476, 1911, 272, 1700, 1911, 277, 630, 1220, 276, 1916, 1321, 25141, 10466, 2920, 540, 476, 1220, 276, 267, 670, 10611, 269, 476, 8099, 271, 267, 476, 11820, 628, 5556, 269, 630, 1220, 276, 5148, 1294, 849, 16470, 540, 25141, 2920, 267, 476, 2764, 772, 2529, 5861, 1421, 3296, 476, 15876, 279, 290, 630, 1220, 271, 5148, 6276, 623, 269, 6723, 267, 968, 290, 2753, 4521, 267, 26488, 267, 543, 17721, 4139, 4521, 281, 7457, 547, 10456, 267, 26959, 267, 543, 13751, 22707, 2223, 1977, 4750, 540, 22414, 4521, 476, 7918, 630, 1220, 277, 2567, 476, 25628, 562, 269, 476, 276, 563, 1724, 623, 1578, 10466, 2920, 267, 670, 10611, 269, 476, 1708, 279, 267, 476, 10482, 628, 5556, 269, 630, 1220, 275, 1070, 476, 11820, 628, 5556, 269, 630, 295, 10611, 269, 476, 24487, 280, 1070, 476, 8099, 628, 5556, 269, 630, 295, 10611, 269, 476, 277, 4200, 1916, 1691, 14210, 16710, 906, 16470, 2920, 267, 670, 10611, 269, 476, 14225, 276, 267, 476, 10482, 628, 5556, 269, 630, 1220, 274, 1916, 1428, 670, 10611, 269, 476, 278, 2190, 282, 670, 10611, 269, 476, 277, 4200, 267, 476, 8099, 628, 6837, 630, 1220, 278, 1916, 1626, 1401, 851, 324, 15966, 731, 548, 267, 476, 10619, 772, 2529, 269, 476, 2004, 277, 630, 5908, 280, 1916, 1704, 6423, 29337, 642, 269, 2136, 2276, 267, 476, 2004, 277, 772, 2529, 269, 476, 23470, 630, 1960, 274, 1040, 589, 5313, 9794, 945, 729, 26722, 693, 513, 7803, 4693, 540, 1818, 7301, 6898, 1354, 513, 5313, 6264, 21139, 8179, 16324, 2689, 540, 1010, 8851, 689, 5604, 269, 1261, 10645, 602, 519, 14130, 1185, 8959, 547, 968, 339, 787, 892, 1864, 1369, 519, 2495, 540, 519, 1955, 701, 16670, 1849, 1021, 269, 630, 8450, 772, 2529, 269, 4790, 1421 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 11742, 17176, 666, 581, 1031, 547, 2490, 593, 4376, 602, 786, 32570, 513, 11739, 4177, 267, 543, 666, 4061, 581, 1031, 607, 32302, 269, 28691, 267, 30518, 267, 543, 5925, 543, 7641, 5036, 666, 3362, 581, 1031, 269, 2859, 14969, 3457, 723, 849, 1044, 1031, 267, 971, 607, 6191, 602, 8850, 5965, 7401, 610, 6995, 269, 589, 3280, 568, 3812, 950, 519, 4235, 568, 4712, 267, 865, 519, 11739, 4177, 1659, 1389, 547, 1265, 519, 28448, 1786, 14954, 4235, 7996, 563, 5278, 1216, 9219, 6272, 941, 2919, 10446, 543, 930, 1702, 729, 11843, 998, 519, 3262, 540, 4123, 269, 2776, 21524, 1716, 7239, 798, 711, 723, 519, 1482, 5730, 942, 15209, 4170, 602, 2291, 538, 2413, 4853, 7239, 267, 1141, 1169, 5662, 540, 960, 610, 1964, 568, 16913, 267, 543, 960, 949, 1376, 610, 9096, 693, 1022, 942, 7488, 540, 5007, 2175, 269, 5502, 267, 1216, 23234, 538, 3504, 7239, 941, 1031, 5631, 585, 4230, 25233, 4128, 269, 1452, 2038, 1216, 23234, 941, 26215, 730, 609, 513, 31914, 658, 269, 2755, 2760, 8757, 519, 1377, 540, 6111, 540, 513, 2413, 4626, 788, 19991, 267, 519, 1216, 9219, 729, 519, 1034, 4977, 543, 4122, 1031, 942, 15209, 3926, 585, 27453, 267, 2394, 621, 729, 8719, 676, 519, 811, 4977, 28764, 9219, 538, 476, 1704, 628, 10601, 2342, 563, 763, 8743, 8653, 1590, 581, 2318, 269, 1403, 621, 814, 513, 851, 4130, 982, 513, 2898, 1984, 1047, 1718, 267, 1287, 519, 2898, 8653, 1590, 7941, 883, 835, 2034, 1510, 6028, 513, 14230, 269, 2353, 3339, 8743, 546, 15342, 786, 6474, 891, 7355, 267, 1519, 1022, 2789, 540, 3108, 267, 3764, 267, 7643, 543, 1984, 1047, 6948, 267, 543, 24534, 6289, 846, 1718, 546, 15342, 267, 971, 607, 476, 736, 985, 267, 476, 7742, 267, 1822, 985, 543, 476, 4335, 267, 1822, 985, 563, 5327, 11220, 547, 3514, 9170, 538, 707, 1753, 267, 519, 8835, 661, 11155, 20128, 3096, 5639, 6284, 547, 1577, 596, 1294, 4365, 23004, 267, 1224, 2575, 18405, 267, 6432, 547, 10748, 1043, 24384, 984, 23697, 267, 543, 811, 2443, 543, 621, 779, 782, 3946, 6954, 269, 3807, 2307, 5981, 320, 547, 2879, 5622, 2763, 519, 15372, 269, 1411, 666, 1256, 2307, 5981, 320, 547, 1852, 519, 5100, 1753, 3457, 538, 707, 2777, 267, 1519, 8279, 267, 25437, 267, 12514, 267, 543, 27687, 1846, 269, 10261, 547, 1118, 513, 6049, 1289, 543, 1810, 1406, 1616, 547, 3802, 2066, 519, 4055, 547, 707, 6049, 286, 9105, 519, 20128, 547, 1118, 6049, 7125, 610, 3381, 7125, 547, 1920, 543, 2828, 269, 1306, 596, 666, 1294, 267, 519, 20128, 814, 1454, 811, 538, 1455, 609, 519, 661, 11155, 29961, 982, 609, 513, 2757, 15372, 9219, 267, 4352, 596, 3580, 1869, 1205, 519, 942, 543, 513, 3207, 7154, 269, 1280, 811, 267, 1224, 938, 2407, 2689, 563, 288, 2101, 17003, 547, 5355, 519, 6111, 543, 10727, 540, 23234, 729, 519, 2956, 540, 5730, 942, 268, 15209, 585, 12445, 269, 634, 2990, 540, 513, 6928, 693, 4262, 1223, 581, 5462, 609, 10257, 6111, 952, 513, 4044, 1807, 1223, 3277, 547, 513, 9219, 602, 4503, 610, 6591, 1447, 982, 827, 476, 1015, 7643, 829, 1554, 269, 901, 9219, 1223, 711, 2270, 513, 28764, 267, 799, 1131, 581, 12303, 24631, 593, 513, 4224, 532, 6928, 269, 769, 476, 14378, 275, 267, 519, 3703, 2229, 6035, 1804, 2883, 12587, 547, 519, 1871, 540, 476, 736, 267, 1822, 6550, 267, 585, 4896, 945, 1223, 3313, 29978, 8308, 269, 3627, 26858, 267, 945, 6131, 1010, 1272, 547, 5355, 519, 6111, 540, 1010, 23234, 267, 2663, 4607, 9645, 18304, 896, 519, 7043, 3363, 2920, 563, 763, 20999, 16019, 932, 1794, 476, 27698, 268, 277, 1691, 12634, 9931, 1849, 1442, 568, 8737, 538, 513, 9045, 514, 18234, 593, 2824, 2182, 6229, 338, 543, 32320, 619, 269, 901, 9219, 2934, 7696, 11604, 8440, 20020, 532, 519, 6378, 4395, 7406, 269, 634, 3043, 3866, 814, 25509, 669, 4435, 3046, 5662, 12508, 543, 3946, 269, 634, 13551, 2759, 13050, 8761, 513, 25509, 669, 4435, 1922, 31944, 28764, 27342, 269, 634, 932, 1794, 2934, 513, 4977, 31763, 345, 267, 6007, 268, 6016, 730, 267, 2582, 7302, 830, 3350, 602, 4249, 519, 31689, 669, 830, 593, 519, 5662, 543, 12523, 519, 5662, 269, 898, 849, 2934, 4201, 11703, 30148, 669, 830, 9505, 11325, 269, 10671, 2231, 2185, 21191, 21092, 9075, 630, 2254, 3769, 1040, 2290, 5729, 654, 1551, 656, 344, 543, 5131, 1744, 6235, 563, 309, 17448, 267, 4207, 267, 15309, 545, 267, 5929, 267, 3209, 1399, 267, 543, 2757, 616, 1175, 513, 1906, 540, 519, 6163, 540, 3774, 23234, 2139, 269, 25839, 543, 2757, 23234, 3622, 4183, 2241, 2338, 610, 19005, 27766, 602, 1118, 10992, 519, 942, 693, 513, 16145, 2653, 269, 681, 755, 545, 267, 562, 27658, 267, 543, 2197, 4798, 3335, 4183, 5961, 540, 2831, 610, 6917, 543, 15798, 728, 10207, 269, 12634, 6163, 1419, 946, 606, 7493, 1374, 602, 949, 3668, 2338, 15587, 269, 966, 17448, 543, 25447, 6163, 540, 3774, 23234, 949, 581, 2241, 610, 15022, 622, 267, 543, 723, 513, 4571, 1417, 1722, 610, 4587, 1413, 269, 589, 2647, 3099, 540, 1187, 3209, 1399, 3681, 616, 849, 2139, 267, 8151, 689, 4583, 3197, 543, 1134, 8153, 12478, 547, 16657, 2987, 7308, 1673, 1046, 543, 20328, 1003, 1968, 6272, 563, 763, 5082, 549, 24610, 5741, 542, 1325, 1301, 1849, 1442, 568, 519, 2034, 1532, 652, 9513, 15372, 9219, 593, 8835, 267, 609, 811, 982, 476, 280, 267, 10384, 8039, 269, 3509, 18046, 26916, 519, 16879, 4183, 267, 543, 3226, 17329, 519, 1249, 602, 519, 21386, 540, 519, 4544, 700, 7374, 4159, 666, 581, 14661, 282, 585, 930, 5411, 267, 519, 9219, 781, 1769, 568, 1175, 513, 2370, 1932, 7920, 269, 634, 2702, 547, 1305, 835, 15372, 942, 585, 11728, 998, 11016, 267, 543, 513, 5094, 942, 585, 519, 15964, 729, 1776, 2442, 4183, 563, 763, 13067, 539, 923, 14675, 8967, 320, 7913, 29482, 7305, 9008, 1849, 1442, 609, 942, 16879, 3947, 596, 519, 1379, 547, 1711, 513, 25695, 267, 21363, 3207, 1604, 269, 7994, 689, 5216, 12560, 11005, 4992, 1519, 5836, 267, 3043, 6846, 267, 2156, 758, 267, 22986, 267, 19711, 267, 4764, 267, 10178, 267, 3786, 13933, 267, 610, 3274, 6467, 593, 519, 5925, 269, 634, 14675, 8967, 320, 7913, 29482, 7305, 9008, 1849, 1442, 2501, 609, 519, 4781, 540, 942, 16879, 543, 513, 25695, 4544, 1769, 563, 5278, 23234, 267, 1572, 1412, 4148, 760, 23234, 3299, 723, 3059, 10525, 602, 960, 2964, 1227, 269, 634, 9704, 616, 13556, 593, 9212, 540, 1570, 799, 616, 15841, 899, 519, 3817, 540, 513, 1433, 269, 4495, 513, 8792, 267, 513, 2985, 568, 5828, 936, 547, 7866, 519, 1985, 7857, 269, 1452, 10525, 616, 2356, 4443, 547, 1224, 538, 29116, 1396, 2175, 982, 700, 7374, 338, 610, 27178, 269, 4746, 267, 789, 798, 711, 979, 1394, 547, 476, 1321, 281, 876, 1310, 513, 1379, 954, 8306, 269, 4469, 760, 23234, 3622, 798, 711, 723, 5907, 6127, 269, 15394, 267, 789, 616, 9141, 676, 8028, 1606, 2106, 28942, 16546, 563, 22154, 15372, 9219, 786, 12687, 596, 909, 256, 594, 6557, 11207, 18555, 538, 835, 1274, 543, 13148, 18555, 538, 519, 824, 269, 1325, 1301, 23234, 594, 1031, 1354, 594, 12349, 713, 835, 1522, 607, 1134, 723, 1044, 5828, 1055, 952, 594, 5949, 547, 723, 1250, 1434, 1274, 593, 519, 10788, 578, 950, 789, 4682, 1055, 269, 901, 835, 568, 10978, 256, 3767, 2348, 1767, 602, 267, 922, 10978, 1145, 568, 28253, 267, 543, 594, 1336, 602, 513, 1970, 4259, 540, 1079, 1568, 1175, 5386, 585, 803, 267, 855, 952, 594, 993, 3226, 7255, 827, 1373, 32570, 539, 267, 594, 849, 1305, 519, 31954, 12210, 267, 799, 568, 1793, 5792, 896, 519, 20974, 816, 269, 5617, 10079, 803, 281, 4634, 952, 596, 616, 11207, 18555, 538, 1312, 10772, 267, 713, 786, 12687, 596, 909, 269, 594, 729, 26617, 827, 519, 5854, 1807, 1317, 594, 723, 513, 5394, 20974, 816, 267, 855, 621, 1568, 609, 1100, 1966, 693, 782, 256, 594, 2898, 27329, 569, 4363, 713, 15372, 9219, 585, 4896, 945, 568, 6217, 15176, 1848, 0, 14187, 9669, 2201, 1215, 1677, 20958, 2060, 8330, 8676, 454, 22349, 8676, 568, 513, 2352, 3364, 547, 2661, 609, 543, 666, 2014, 513, 2603, 540, 2566, 269, 1717, 267, 596, 666, 13468, 513, 2603, 540, 602, 952, 596, 13599, 3054, 593, 2081, 547, 2569, 707, 10447, 2589, 269, 901, 2376, 814, 930, 1344, 585, 596, 547, 948, 2569, 519, 2589, 540, 707, 10447, 563, 2710, 711, 30908, 707, 2777, 950, 596, 2973, 621, 269, 901, 786, 6494, 7452, 10760, 10876, 543, 1118, 621, 2182, 585, 596, 547, 13236, 269, 5502, 267, 596, 1058, 946, 513, 6632, 544, 641, 865, 602, 519, 7452, 543, 23606, 6529, 547, 519, 6989, 269, 3680, 1210, 20851, 11169, 1247, 7738, 267, 607, 891, 2472, 1223, 9594, 10447, 563, 2414, 1832, 707, 10447, 896, 1852, 267, 596, 1058, 1152, 946, 1875, 23829, 2869, 514, 1928, 17212, 951, 269, 5637, 1306, 2869, 514, 543, 1875, 268, 3122, 18042, 4550, 13611, 5061, 899, 16481, 1575, 19745, 523, 543, 513, 548, 557, 666, 8886, 622, 519, 9641, 543, 22009, 519, 2360, 540, 707, 10447, 936, 942, 269, 570, 2643, 523, 565, 814, 1100, 2942, 2360, 593, 10447, 3755, 267, 543, 666, 581, 3144, 5781, 1510, 3390, 563, 16605, 11623, 1863, 540, 7452, 267, 543, 798, 711, 2490, 593, 513, 10178, 952, 596, 798, 723, 7452, 344, 11623, 269, 5695, 940, 593, 513, 10178, 568, 2469, 547, 2014, 519, 7452, 547, 4734, 922, 2627, 543, 2253, 11423, 519, 2011, 540, 707, 1604, 269, 1403, 596, 1745, 596, 991, 25312, 267, 1930, 513, 6885, 3079, 563, 7212, 621, 949, 3100, 24735, 547, 1034, 1004, 267, 621, 568, 1271, 602, 596, 2661, 2282, 707, 4387, 610, 606, 6595, 4055, 952, 596, 723, 10447, 269, 12389, 538, 513, 6917, 1858, 666, 1611, 602, 1612, 3139, 923, 3112, 1205, 547, 596, 538, 942, 547, 4688, 707, 1272, 952, 596, 723, 513, 4049, 10447, 4323, 563, 25324, 976, 7092, 689, 4049, 10447, 1058, 1491, 21449, 3133, 641, 1156, 1759, 1928, 6146, 619, 269, 1306, 2869, 514, 267, 715, 6347, 31312, 543, 16481, 1575, 19745, 523, 1759, 6646, 971, 607, 5917, 559, 610, 7763, 12541, 949, 9594, 610, 22009, 707, 10447, 6285, 269, 2142, 2386, 547, 4163, 519, 1318, 1826, 540, 6646, 609, 596, 607, 707, 32283, 619, 267, 2828, 610, 1920, 2818, 949, 711, 723, 519, 3617, 835, 563, 2252, 596, 1265, 3054, 1210, 707, 6595, 23254, 619, 811, 982, 1079, 2053, 513, 3018, 267, 596, 1522, 1616, 547, 2015, 4657, 10447, 6646, 269, 15742, 6527, 960, 1732, 610, 8338, 585, 1114, 1004, 267, 865, 596, 12582, 1405, 1175, 6529, 609, 519, 1101, 835, 596, 2119, 269, 1403, 596, 1745, 602, 707, 2589, 5749, 1405, 3478, 1732, 267, 2307, 707, 4387, 827, 3843, 1776, 6646, 563, 2252, 596, 723, 10447, 543, 616, 2469, 547, 3635, 267, 581, 2386, 596, 1491, 9397, 538, 519, 1647, 540, 707, 15904, 267, 1256, 952, 707, 10447, 2589, 616, 711, 9117, 909, 269, 3509, 2053, 267, 10447, 2589, 666, 14229, 752, 909, 593, 596, 538, 519, 1647, 540, 519, 15904, 269, 901, 666, 581, 15286, 952, 596, 1491, 9397, 563, 6826, 6297, 950, 4358, 606, 3635, 1982, 267, 543, 2141, 8897, 883, 588, 1066, 6681, 2238, 269, 8447, 11851, 542, 3884, 1405, 606, 10447, 9594, 585, 3025, 267, 855, 782, 4230, 327, 3901, 923, 7985, 689, 930, 4110, 540, 21572, 1526, 9689, 782, 519, 942, 267, 676, 4214, 267, 799, 2306, 621, 9875, 593, 707, 1062, 950, 596, 960, 856, 269, 1280, 1346, 4171, 10447, 568, 15427, 676, 3635, 267, 1574, 532, 538, 666, 1118, 621, 2009, 547, 3635, 1510, 7092, 606, 4323, 563, 28406, 3054, 1996, 16415, 543, 32583, 952, 596, 723, 10447, 269, 1452, 10108, 616, 1644, 547, 707, 9641, 543, 2014, 7244, 547, 581, 2978, 1819, 269, 1306, 3983, 607, 621, 568, 585, 513, 2834, 267, 2635, 1268, 267, 621, 568, 1256, 8338, 585, 606, 10447, 3461, 1317, 707, 5761, 1599, 568, 2907, 1970, 563, 2690, 1082, 1004, 267, 741, 5321, 666, 581, 24254, 741, 10447, 267, 610, 1256, 4929, 741, 10447, 538, 519, 1101, 1747, 269, 1452, 27521, 338, 1331, 7452, 267, 24032, 543, 9044, 269, 1677, 2327, 1072, 543, 2569, 519, 1761, 585, 10447, 6285, 267, 723, 513, 21496, 14791, 585, 519, 4527, 543, 8851, 540, 891, 10898, 269, 898, 849, 2337, 547, 2973, 707, 1753, 4749, 547, 2061, 513, 19221, 540, 891 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 2085, 563, 8967, 2632, 10389, 522, 1729, 659, 15064, 5434, 630, 12569, 20067, 264, 338, 616, 4992, 602, 616, 19501, 689, 519, 1274, 1510, 5007, 14242, 543, 616, 22905, 609, 6213, 2890, 10746, 538, 519, 5007, 1274, 12324, 269, 2311, 2547, 835, 14298, 20067, 666, 581, 9571, 538, 4114, 269, 476, 3374, 268, 2004, 260, 540, 519, 2551, 269, 634, 4992, 616, 4908, 3613, 762, 1063, 476, 4335, 21636, 543, 476, 14596, 271, 21636, 547, 723, 18633, 12531, 1063, 910, 1789, 28108, 9501, 299, 543, 1341, 1015, 28108, 9501, 299, 269, 634, 5354, 540, 519, 1004, 616, 23387, 540, 741, 14298, 288, 19324, 282, 13980, 540, 476, 272, 268, 280, 260, 2705, 13498, 513, 14298, 20067, 607, 606, 30414, 13046, 563, 7069, 2898, 1272, 814, 1044, 6131, 547, 519, 1416, 540, 2370, 3283, 269, 3245, 4543, 1250, 3993, 950, 594, 729, 1762, 609, 1200, 1378, 538, 1753, 1554, 3249, 267, 547, 1250, 1101, 3777, 903, 9231, 6009, 269, 594, 1287, 1185, 519, 4316, 547, 581, 562, 15967, 547, 1079, 8748, 6690, 6502, 476, 274, 586, 3464, 269, 543, 476, 275, 3275, 585, 827, 476, 274, 1296, 269, 3973, 267, 594, 1185, 873, 12257, 540, 7836, 476, 274, 3275, 538, 27597, 2324, 609, 606, 3919, 1572, 595, 3133, 592, 21634, 1460, 269, 1358, 616, 9247, 606, 29152, 720, 855, 2864, 982, 12391, 585, 519, 1453, 2394, 789, 2097, 540, 2085, 267, 789, 2285, 873, 5321, 543, 3885, 585, 1272, 269, 1703, 594, 5249, 609, 1082, 1453, 581, 325, 686, 2056, 873, 267, 3450, 13492, 543, 4543, 609, 741, 2296, 269, 3767, 594, 723, 3323, 513, 1920, 540, 1250, 1378, 543, 7287, 547, 723, 1250, 1378, 538, 1753, 1554, 3249, 269, 23560, 607, 1250, 3993, 1705, 1354, 803, 267, 12391, 585, 2370, 3283, 543, 4543, 8284, 11299, 609, 22973, 543, 10097, 1126, 3249, 269, 623, 269, 590, 269, 594, 993, 849, 811, 982, 6126, 547, 1491, 1416, 540, 1022, 2185, 6122, 13949, 267, 24566, 1920, 2818, 563, 1607, 3896, 568, 10691, 5497, 547, 581, 1031, 607, 513, 29748, 2707, 269, 1280, 2417, 6351, 538, 4466, 513, 1126, 1416, 8502, 945, 666, 2743, 519, 2189, 2115, 540, 707, 1920, 267, 5225, 3346, 519, 4132, 5516, 12754, 1299, 28582, 1537, 10837, 630, 6717, 305, 261, 305, 264, 7674, 519, 10315, 596, 2661, 538, 676, 1210, 2901, 741, 1533, 3896, 693, 5291, 2517, 4178, 269, 328, 578, 3147, 31014, 3820, 270, 610, 1289, 630, 339, 3326, 1863, 264, 476, 279, 6507, 268, 21327, 268, 279, 4366, 272, 563, 1103, 14966, 609, 24384, 6248, 4152, 267, 744, 20067, 4152, 666, 581, 6192, 547, 3313, 2242, 538, 519, 6114, 269, 5525, 723, 1336, 602, 4598, 547, 6846, 666, 2014, 513, 7771, 538, 744, 20067, 6114, 269, 769, 513, 1353, 267, 4853, 4600, 945, 941, 6534, 547, 476, 10019, 269, 276, 546, 10621, 540, 6846, 941, 3379, 547, 4600, 945, 941, 6534, 547, 476, 7871, 269, 273, 546, 10621, 540, 6846, 676, 6236, 6217, 29676, 543, 29314, 19324, 1354, 543, 1310, 476, 276, 2395, 540, 960, 269, 901, 1353, 7000, 602, 6217, 29676, 543, 744, 20067, 2164, 941, 3648, 2539, 1851, 519, 4600, 945, 941, 6534, 547, 2362, 2157, 540, 6846, 563, 257, 29309, 23718, 781, 257, 814, 1044, 513, 8748, 2034, 1753, 585, 1250, 8250, 4477, 6511, 269, 4477, 6511, 729, 18460, 513, 11315, 5912, 713, 1032, 267, 621, 1373, 519, 1101, 1032, 1352, 729, 547, 581, 25374, 585, 1510, 2462, 521, 529, 1318, 676, 1200, 2427, 269, 23718, 814, 1500, 1200, 1753, 1745, 899, 513, 2034, 1753, 585, 4477, 6511, 267, 543, 1352, 2306, 6484, 1271, 585, 519, 3214, 799, 594, 2731, 899, 269, 2701, 849, 5205, 8726, 13668, 6484, 958, 602, 594, 723, 267, 543, 1352, 568, 2706, 6297, 269, 4477, 6511, 781, 2462, 521, 529, 814, 513, 4049, 24113, 14711, 267, 865, 23718, 2306, 2386, 4477, 6511, 2760, 22655, 30637, 1317, 1352, 3085, 1405, 1616, 547, 1981, 513, 1966, 950, 519, 1079, 6690, 1404, 538, 519, 12784, 269, 1656, 594, 9894, 333, 1405, 1256, 723, 547, 2307, 1200, 547, 798, 602, 8627, 2334, 781, 1390, 256, 4477, 6511, 568, 2731, 28006, 1134, 543, 594, 1589, 602, 568, 1317, 540, 875, 23718, 568, 4543, 621, 547, 1745, 899, 1776, 1753, 269, 3733, 4587, 8250, 1256, 7683, 6499, 547, 3251, 609, 257, 29309, 23718, 1701, 910, 23718, 454, 268, 834, 16920, 16670, 2385, 902, 666, 15936, 609, 513, 1126, 781, 991, 547, 1451, 827, 519, 1158, 593, 1010, 1378, 267, 543, 1010, 16795, 11944, 883, 1010, 2631, 540, 4830, 1582, 257, 630, 335, 14444, 1040, 22682, 267, 519, 4589, 723, 11821, 13613, 15970, 609, 29357, 15970, 269, 2290, 540, 519, 6574, 4093, 540, 13613, 15970, 568, 8746, 543, 5150, 1453, 945, 616, 711, 1152, 4830, 267, 855, 3810, 954, 17466, 563, 2171, 3494, 602, 12391, 585, 543, 18997, 1453, 568, 513, 15626, 543, 23429, 4305, 543, 649, 1491, 11348, 538, 938, 5539, 547, 13599, 1762, 8186, 543, 5965, 1453, 585, 519, 2104, 269, 1284, 1174, 875, 1271, 621, 568, 547, 3972, 519, 1004, 945, 616, 3743, 585, 519, 1416, 543, 2069, 540, 707, 1126, 269, 2060, 936, 476, 1789, 1296, 540, 1995, 538, 519, 2038, 6689, 2069, 2872, 267, 649, 616, 6131, 547, 3246, 1453, 609, 519, 2645, 547, 8011, 538, 513, 2922, 543, 14637, 1604, 269, 0, 1692, 1281, 12335, 1521, 2669, 538, 21604, 543, 20246, 7406, 707, 2626, 538, 2474, 540, 3656, 267, 5837, 267, 22686, 267, 543, 2123, 2152, 12946, 891, 1615, 340, 269, 769, 2669, 267, 649, 1831, 12325, 5608, 543, 3976, 568, 519, 2013, 538, 18296, 267, 2669, 568, 711, 1152, 606, 7214, 24891, 585, 12335, 547, 25793, 1662, 1010, 6138, 540, 519, 1480, 2783, 267, 855, 547, 513, 2417, 6708, 621, 568, 513, 10375, 2619, 547, 1350, 528, 2305, 543, 269, 6468, 538, 32335, 538, 12335, 779, 942, 267, 2021, 1705, 711, 2972, 519, 1482, 22624, 602, 789, 798, 2221, 713, 729, 513, 942, 540, 7453, 1514, 25327, 543, 22608, 3652, 1547, 1677, 1018, 6708, 1281, 12335, 1459, 1698, 340, 2280, 607, 1373, 547, 16620, 585, 519, 2669, 540, 1010, 8250, 1775, 3494, 602, 1698, 340, 2280, 4249, 606, 1271, 1909, 538, 519, 2680, 540, 20246, 779, 2669, 12335, 3096, 10565, 20451, 547, 948, 1217, 519, 5467, 540, 875, 646, 814, 6719, 1698, 340, 2280, 607, 1373, 519, 16620, 585, 20246, 779, 2669, 269, 5261, 12335, 910, 10564, 910, 13275, 12335, 267, 519, 5449, 729, 513, 1279, 2239, 6648, 18995, 519, 18349, 540, 9006, 639, 676, 740, 517, 529, 267, 1010, 2669, 267, 543, 519, 3702, 550, 4586, 295, 600, 2280, 1353, 3391, 3568, 513, 12092, 540, 13275, 12335, 267, 3332, 3594, 267, 513, 2347, 552, 17856, 267, 7688, 2055, 267, 2101, 4798, 267, 3197, 267, 543, 513, 2407, 5758, 543, 2079, 269, 634, 6249, 540, 2669, 538, 12335, 781, 21604, 543, 20246, 1419, 2053, 267, 4589, 946, 519, 6249, 540, 2669, 2429, 741, 1568, 713, 4667, 547, 581, 3020, 540, 13275, 12335, 538, 21604, 543, 20246, 269, 1215, 1281, 12335, 2263, 519, 6249, 540, 2648, 538, 2048, 13512, 27097, 3781, 685, 5103, 519, 9135, 540, 519, 1404, 267, 543, 519, 27581, 6126, 10678, 267, 12335, 568, 3833, 24813, 609, 1010, 4555, 593, 519, 5396, 540, 2648, 543, 1102, 520, 6672, 269, 14956, 3559, 807, 281, 1775, 729, 519, 811, 13587, 1882, 1200, 9808, 14923, 543, 26454, 960, 1996, 1200, 607, 1352, 3112, 11883, 609, 519, 11200, 532, 540, 835, 15779, 2680, 1310, 1776, 1566, 3559, 807, 781, 29593, 1782, 18296, 3123, 782, 1200, 3929, 1928, 2429, 519, 1404, 267, 543, 950, 1010, 13842, 568, 3743, 585, 1200, 4651, 781, 2669, 267, 1352, 814, 28815, 782, 602, 1352, 568, 5827, 540, 11972, 543, 4422, 4586, 4537, 6832, 13000, 2669, 538, 21604, 543, 5104, 850, 339, 538, 513, 4023, 1259, 2731, 602, 781, 707, 2898, 2626, 875, 827, 281, 12335, 13000, 2669, 607, 952, 621, 781, 513, 1455, 269, 1215, 1281, 12335, 1521, 519, 6249, 540, 2648, 4688, 22599, 2907, 6818, 1131, 596, 899, 547, 19467, 713, 2243, 883, 621, 2669, 2669, 5526, 538, 519, 1404, 607, 513, 1292, 6249, 267, 543, 3217, 593, 1082, 1547, 7454, 2626, 281, 596, 1058, 917, 602, 538, 25174, 24469, 519, 2262, 2669, 729, 3006, 1031, 607, 513, 28395, 585, 610, 326, 11047, 267, 865, 930, 540, 1346, 678, 1299, 795, 10530, 949, 581, 1224, 1079, 2081, 269, 19043, 540, 519, 1178, 1386, 580, 7970, 262, 6429, 538, 12335, 781, 18296, 538, 13275, 12335, 779, 13357, 18296, 593, 519, 1566, 3559, 807, 779, 2669, 676, 546, 20621, 32586, 1101, 804, 1144, 4586, 1692, 1281, 18296, 1521, 887, 11420, 322, 7949, 345, 543, 1368, 843, 523, 560, 1716, 1310, 18296, 781, 2669, 267, 3520, 26559, 3788, 9800, 547, 2995, 18296, 781, 1650, 1566, 3559, 807, 1135, 517, 3780, 781, 8250, 267, 513, 4190, 1547, 19151, 543, 20246, 281, 957, 476, 275, 538, 6429, 476, 276, 267, 1018, 1281, 18459, 1698, 340, 2280, 1289, 2669, 1018, 1281, 12335, 7866, 827, 20246, 538, 891, 3515, 269, 3367, 938, 1592, 540, 519, 1283, 476, 736, 12335, 10530, 593, 1426, 543, 4235, 12335, 781, 4249, 616, 2407, 540, 8100, 540, 1426, 543, 4235, 267, 646, 3096, 1426, 543, 4235, 607, 23199, 547, 1711, 1010, 4977, 24221, 540, 519, 2053, 646, 5030, 538, 269, 589, 5618, 1413, 693, 22158, 538, 12335, 781, 16664, 28780, 4760, 270, 30700, 13942, 476, 9340, 630, 1220, 280, 264, 2669, 543, 519, 30823, 523, 267, 543, 561, 19313, 1965, 638, 633, 331, 779, 3209, 267, 4586, 14240, 540, 12335, 538, 519, 8847, 6339, 8675, 2495, 540, 12335, 1018, 1281, 12335, 1611, 1344, 543, 16627, 540, 12335, 538, 519, 1034, 3102, 8675, 8847, 4199, 593, 519, 1357, 269, 25840, 32614, 513, 1390, 19005, 2489, 945, 814, 5063, 8120, 547, 17858, 1310, 513, 4108, 11802, 538, 838, 664, 15567, 3780, 32614, 568, 711, 519, 1292, 1915, 540, 519, 1404, 602, 12217, 1010, 2012, 14697, 639, 814, 936, 2185, 2053, 607, 1082, 3515, 267, 543, 519, 1404, 1281, 711, 1397, 721, 32614, 779, 1448, 540, 2070, 269, 1215, 1281, 12335, 1521, 2669, 538, 21604, 543, 20246, 281, 875, 827, 281, 12335, 13000, 2669, 607, 952, 621, 781, 513, 1455, 3364, 602, 4523, 4948, 6011, 1281, 20246, 1265, 856, 827, 21604, 781, 2669, 563, 4537, 6832, 3587, 519, 1521, 267, 607, 1134, 607, 519, 782, 268, 3483, 2686, 22010, 267, 585, 799, 942, 568, 1336, 2663, 538, 1272, 267, 1310, 811, 2596, 267, 31544, 1983, 543, 1702, 616, 9715, 269, 9615, 540, 942, 538, 12335, 779, 5067, 26506, 1272, 1310, 2669, 9561, 707, 3961, 538, 2669, 1281, 711, 8209, 1611, 519, 2530, 540, 1272, 865, 1279, 607, 596, 723, 1547, 769, 21604, 543, 20246, 267, 676, 13275, 12335, 267, 2669, 568, 711, 16613, 3670, 1004, 5747, 713, 1404, 267, 21604, 267, 20246, 267, 14799, 1698, 340, 2280, 267, 1119, 4472, 339, 267, 24271, 583, 1470, 267, 543, 1612, 529, 782, 540, 891, 1547, 634, 2021, 540, 12335, 781, 3638, 731, 25831, 5768, 15756, 267, 1714, 9626, 267, 32319, 267, 546, 31866, 1087, 540, 2112, 19213, 945, 729, 9800, 538, 476, 16825, 274, 950, 1196, 1189, 17488, 5747, 10393, 4534, 606, 2669, 12335, 4586, 1103, 519, 1404, 21604, 543, 20246, 267, 676, 13275, 12335, 267, 1928, 543, 7092, 782, 3323, 689, 1079, 3197, 9991, 538, 2648, 891, 3197, 616, 21604, 543, 20246, 267, 1142, 689, 5094, 21535, 532, 3885, 855, 519, 3527, 540, 891, 3197, 3361, 1082, 7972, 2059, 519, 1259, 621, 3361, 519, 2669, 540, 24271, 583, 1470, 1547, 1215, 1281, 12335, 1521, 2669, 538, 21604, 543, 20246, 7406, 707, 2626, 538, 2474, 540, 3656, 267, 5837, 267, 22686, 267, 543, 2123, 2152, 12946, 891, 2152, 538, 2247, 267, 5635, 519, 7972, 540, 21604, 543, 20246, 267, 21604, 543, 24271, 583, 1470, 267, 543, 24271, 583, 1470, 543, 1119, 4472, 339, 269, 901, 3391, 5654, 693, 519, 1034, 1455, 2010, 540, 4775, 3197, 538, 12335, 781, 4249, 689, 519, 536, 1177, 11276, 4807, 547, 519, 6562, 532, 3185, 1889, 14603, 269, 0, 763, 2657, 813, 8952, 596, 12592, 676, 6029, 596, 875, 1454, 596, 1847, 269, 898, 10905, 2534, 1239, 689, 21236, 2443, 899, 707, 3268, 543, 3845, 14612, 2443, 609, 14573, 689, 3791, 18407, 8516, 8924, 269, 1656, 11197, 13772, 8850, 5638, 2241, 855, 6209, 5686, 540, 3350, 267, 899, 875, 1419, 596, 1796, 267, 875, 1454, 596, 3635, 267, 543, 707, 782, 6377, 17811, 6633, 563, 14276, 1072, 814, 1044, 4330, 607, 834, 1492, 2257 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 7368, 609, 3404, 1973, 5795, 519, 1482, 2164, 282, 519, 1973, 8052, 729, 4646, 538, 519, 3003, 2527, 267, 13735, 538, 513, 2370, 2620, 2699, 5277, 267, 3092, 563, 763, 1726, 3387, 1782, 543, 5176, 12001, 28163, 540, 519, 1079, 6901, 941, 5116, 547, 8963, 593, 513, 5848, 12308, 540, 2673, 9403, 269, 2311, 513, 2016, 4090, 519, 12308, 338, 941, 1336, 4988, 609, 513, 29935, 6219, 799, 267, 513, 12675, 11067, 267, 609, 1216, 5594, 1286, 2513, 1242, 630, 272, 6749, 829, 476, 1911, 524, 6983, 13776, 1287, 609, 4568, 693, 476, 1839, 9077, 543, 1586, 609, 1216, 267, 1705, 711, 4625, 1232, 565, 528, 282, 693, 519, 1439, 972, 7283, 513, 2699, 7301, 9245, 799, 1223, 581, 6569, 538, 513, 2582, 4062, 689, 519, 14927, 12308, 282, 971, 729, 519, 5920, 543, 1533, 540, 519, 27417, 514, 540, 519, 8052, 4646, 896, 891, 2175, 282, 922, 7274, 568, 829, 1061, 4601, 602, 799, 568, 9678, 676, 519, 11067, 540, 519, 8723, 8052, 269, 769, 713, 2783, 713, 27417, 514, 568, 711, 15702, 5612, 538, 8652, 18608, 545, 3679, 693, 476, 273, 270, 1911, 271, 267, 855, 899, 8723, 27417, 514, 568, 513, 1599, 540, 942, 543, 540, 2837, 267, 543, 1510, 1101, 2921, 593, 519, 2783, 540, 513, 21297, 899, 519, 27417, 514, 689, 627, 6235, 267, 3092, 563, 2252, 1287, 519, 11549, 6058, 1355, 5790, 540, 519, 8280, 1738, 2890, 9195, 1014, 7636, 11491, 2827, 568, 27772, 896, 519, 3310, 540, 4568, 540, 1697, 4222, 267, 519, 1482, 5790, 568, 1454, 811, 1253, 2105, 267, 1614, 2053, 811, 267, 538, 1216, 267, 543, 519, 1973, 1869, 30243, 12885, 538, 782, 922, 2527, 267, 519, 5895, 2737, 1373, 10032, 563, 763, 3932, 799, 2164, 689, 713, 1007, 3126, 540, 6901, 568, 602, 519, 12214, 3069, 540, 519, 21245, 30243, 1637, 540, 519, 1973, 267, 8547, 593, 519, 6228, 540, 513, 3791, 26715, 3693, 267, 519, 2890, 9195, 1014, 7636, 11491, 2827, 540, 519, 13576, 5160, 267, 18481, 6941, 519, 5013, 563, 2005, 568, 942, 1287, 547, 32135, 689, 519, 1893, 540, 2257, 519, 1913, 11919, 267, 9842, 332, 710, 267, 27417, 514, 4094, 543, 540, 27417, 514, 31129, 267, 609, 799, 621, 814, 1044, 1958, 3518, 1229, 18502, 1703, 1590, 849, 581, 2144, 1078, 585, 519, 7778, 540, 519, 7613, 519, 5910, 2105, 3310, 540, 519, 5895, 2737, 267, 540, 1608, 3249, 748, 610, 824, 20919, 267, 29512, 3527, 540, 3346, 267, 3092, 1421, 711, 547, 3717, 540, 1585, 1624, 738, 454, 314, 320, 269, 12910, 2890, 2041, 1590, 849, 581, 2144, 1078, 282, 8259, 621, 581, 5551, 547, 11677, 621, 547, 20301, 18495, 543, 824, 2110, 24331, 2831, 256, 3690, 24358, 8882, 1663, 1878, 269, 1323, 3169, 1702, 540, 519, 14169, 540, 519, 1973, 543, 540, 519, 2175, 540, 6228, 540, 519, 26715, 2609, 786, 3411, 823, 269, 272, 1809, 621, 568, 849, 2556, 547, 1174, 538, 1776, 1259, 982, 814, 1934, 1729, 1150, 1044, 2944, 519, 2495, 540, 1018, 568, 1572, 519, 30243, 1637, 540, 519, 1973, 269, 769, 5168, 267, 519, 1973, 1281, 711, 30243, 3634, 269, 634, 4603, 18327, 621, 282, 621, 568, 519, 6219, 540, 519, 5790, 540, 519, 3791, 26715, 3693, 540, 519, 13576, 5160, 799, 267, 538, 18460, 519, 28286, 22241, 1689, 540, 30243, 1637, 267, 3947, 547, 519, 14919, 540, 519, 7613, 519, 5920, 540, 513, 2698, 30243, 1637, 282, 855, 267, 607, 649, 723, 2938, 267, 621, 568, 1152, 606, 21903, 563, 272, 269, 898, 568, 1317, 519, 2175, 540, 6228, 540, 519, 26715, 2609, 616, 3476, 7691, 950, 519, 1973, 568, 12873, 1063, 1079, 14270, 2137, 538, 519, 6077, 799, 3568, 621, 602, 519, 30243, 1637, 540, 519, 13576, 5160, 568, 1419, 1279, 1219, 518, 2699, 269, 901, 6941, 519, 1967, 540, 1978, 6901, 540, 4589, 543, 267, 519, 1034, 2487, 267, 1346, 540, 631, 269, 2605, 269, 3794, 523, 731, 630, 6942, 276, 1040, 630, 763, 3974, 1657, 20926, 8094, 763, 9277, 21245, 30243, 1637, 540, 519, 1973, 568, 693, 5377, 267, 1152, 519, 1439, 540, 519, 1101, 5123, 540, 519, 21245, 27327, 540, 519, 13576, 5160, 267, 607, 519, 524, 3385, 591, 545, 6551, 7190, 267, 7436, 519, 1101, 5123, 540, 519, 21245, 27327, 540, 519, 16757, 5160, 563, 3719, 267, 1018, 568, 621, 602, 2242, 538, 513, 5160, 286, 1656, 1018, 568, 519, 2034, 5123, 540, 519, 21245, 27327, 540, 519, 1973, 543, 693, 1018, 4090, 1281, 621, 2253, 888, 2005, 568, 540, 2956, 547, 519, 1544, 540, 713, 3184, 547, 2285, 513, 5730, 2626, 547, 891, 2055, 563, 763, 1101, 5956, 676, 519, 3114, 27327, 540, 30243, 1637, 540, 519, 11549, 6058, 1355, 5790, 540, 519, 2890, 9195, 1014, 7636, 11491, 1637, 267, 950, 576, 2164, 519, 5250, 540, 519, 8052, 267, 519, 1427, 3555, 540, 519, 8545, 543, 519, 1163, 13955, 540, 519, 11993, 23469, 16796, 269, 634, 5895, 2737, 723, 4986, 547, 798, 609, 713, 7613, 267, 607, 568, 538, 4186, 652, 2406, 8810, 676, 519, 4603, 609, 519, 1973, 540, 519, 7504, 563, 763, 2034, 5123, 5956, 693, 519, 4090, 950, 519, 16796, 3587, 11954, 609, 2699, 267, 799, 2982, 602, 519, 1689, 540, 519, 1973, 5895, 2737, 814, 862, 10642, 267, 741, 688, 655, 698, 331, 984, 514, 267, 811, 610, 1447, 4957, 267, 1373, 886, 4310, 538, 519, 16796, 269, 634, 1739, 4603, 540, 631, 269, 30854, 584, 814, 3254, 1018, 3587, 540, 519, 5895, 2737, 538, 713, 1689, 269, 901, 5260, 656, 1500, 621, 538, 476, 5908, 274, 267, 272, 2947, 1296, 1310, 1250, 19027, 540, 519, 8367, 540, 17900, 538, 519, 2011, 267, 950, 646, 1185, 2016, 909, 3661, 538, 519, 21245, 5108, 540, 7542, 906, 267, 609, 519, 1843, 540, 11744, 602, 538, 519, 9000, 540, 17900, 519, 1973, 1131, 711, 2322, 337, 1518, 1317, 4986, 2713, 1131, 2408, 538, 621, 269, 1677, 1174, 713, 621, 568, 547, 581, 15422, 602, 631, 269, 30854, 584, 729, 513, 1486, 22914, 626, 7487, 538, 606, 11248, 1152, 9938, 1493, 3741, 267, 16153, 1154, 538, 621, 4986, 23125, 267, 8238, 558, 1227, 2713, 267, 13380, 547, 519, 23125, 7542, 906, 563, 296, 1491, 519, 973, 1388, 540, 519, 4603, 689, 513, 1433, 540, 519, 2278, 267, 3370, 1279, 1310, 519, 2890, 9195, 553, 1185, 1044, 4362, 543, 519, 2890, 9195, 1014, 3069, 540, 519, 3919, 6192, 563, 3891, 862, 1878, 607, 5205, 281, 834, 4131, 721, 4983, 883, 519, 9703, 540, 2713, 7919, 267, 538, 1434, 1072, 267, 971, 610, 971, 540, 519, 2326, 799, 949, 581, 1336, 972, 267, 543, 4983, 873, 538, 519, 1533, 538, 799, 1272, 814, 4646, 873, 267, 538, 3346, 609, 6986, 2011, 1701, 273, 454, 272, 269, 30854, 584, 269, 834, 13434, 615, 2583, 1147, 454, 5055, 2322, 516, 8351, 1701, 595, 563, 305, 907, 5292, 269, 700, 309, 272, 630, 5908, 274, 1916, 273, 269, 700, 30854, 584, 269, 834, 292, 339, 26360, 1147, 3288, 581, 699, 1701, 533, 269, 476, 5379, 630, 6942, 277, 1916, 1103, 1249, 267, 609, 519, 6351, 540, 1849, 269, 4446, 333, 731, 267, 646, 23953, 519, 1973, 540, 513, 2915, 2047, 883, 513, 6077, 267, 519, 2011, 538, 799, 1185, 1044, 18287, 1441, 269, 634, 17513, 267, 20177, 609, 519, 9514, 1790, 6559, 267, 8659, 3976, 835, 540, 519, 2326, 547, 581, 8947, 267, 5833, 689, 519, 9703, 540, 519, 3662, 267, 543, 3976, 6870, 689, 519, 17900, 540, 519, 2011, 269, 594, 1631, 10839, 1257, 1302, 607, 5205, 1018, 631, 269, 16258, 523, 2219, 646, 4767, 912, 272, 269, 634, 1973, 1281, 711, 2322, 337, 1518, 267, 1256, 693, 519, 5207, 2837, 540, 519, 5790, 282, 922, 17627, 3788, 602, 540, 4195, 1973, 267, 610, 3217, 593, 602, 540, 561, 6614, 563, 273, 269, 2991, 606, 4598, 540, 519, 1166, 3696, 547, 476, 1839, 4113, 268, 1789, 4113, 595, 269, 32372, 476, 6507, 4113, 547, 476, 10436, 4113, 674, 13776, 1282, 1896, 4374, 267, 4986, 666, 581, 4767, 855, 606, 10338, 540, 476, 273, 260, 547, 476, 274, 260, 540, 5135, 267, 799, 568, 8719, 676, 513, 829, 1061, 4601, 3160, 4320, 540, 3327, 545, 3679, 563, 274, 269, 7201, 519, 6381, 538, 799, 519, 1973, 540, 519, 2915, 267, 6534, 547, 519, 3346, 540, 6986, 2011, 267, 1281, 711, 2322, 337, 1518, 693, 782, 267, 1973, 14848, 616, 4646, 609, 7415, 22026, 563, 275, 269, 769, 519, 1101, 2395, 540, 922, 1373, 5116, 538, 519, 14089, 267, 7444, 267, 693, 519, 8723, 2837, 267, 519, 16796, 2968, 5552, 592, 569, 11954, 513, 2620, 6960, 563, 276, 269, 769, 8167, 607, 713, 1198, 568, 3812, 519, 1973, 5895, 2737, 14897, 543, 519, 16796, 543, 519, 8052, 1831, 4904, 609, 14848, 540, 513, 6960, 610, 2699, 2681, 269, 2991, 930, 4374, 711, 513, 2582, 1973, 5895, 2544, 3788, 2901, 538, 519, 16796, 610, 538, 519, 8052, 269, 2991, 513, 3476, 8884, 519, 2898, 540, 519, 27417, 514, 949, 1831, 6394, 538, 513, 2582, 1728, 13824, 2527, 269, 272, 454, 272, 269, 25592, 573, 267, 533, 269, 5392, 563, 22746, 729, 519, 4603, 689, 799, 631, 269, 30854, 584, 11943, 602, 267, 952, 6870, 689, 17900, 540, 519, 2011, 267, 1973, 1705, 711, 2322, 337, 1518, 693, 782, 282, 602, 568, 547, 2161, 267, 729, 711, 12012, 676, 519, 2962, 540, 1022, 23125, 7542, 618, 267, 799, 538, 1010, 6644, 1152, 519, 17900, 540, 519, 2011, 1223, 3132, 269, 594, 723, 11992, 3254, 602, 267, 1139, 3151, 519, 4480, 540, 519, 4603, 547, 723, 1044, 8308, 5645, 856, 267, 519, 7422, 1500, 972, 517, 941, 18106, 267, 543, 519, 7664, 540, 519, 2164, 30380, 538, 519, 3665, 269, 594, 786, 556, 3200, 547, 713, 1934, 12898, 282, 585, 519, 1459, 594, 786, 1152, 1397, 602, 519, 5013, 540, 519, 4603, 30599, 4011, 622, 1250, 1378, 563, 2005, 568, 10423, 602, 267, 3144, 15587, 267, 519, 4603, 540, 631, 269, 30854, 584, 814, 9672, 602, 799, 519, 2890, 9195, 1014, 3069, 2760, 14543, 547, 6961, 267, 12077, 267, 602, 1169, 5160, 267, 1169, 9644, 267, 32585, 689, 513, 2713, 2635, 3662, 267, 11613, 6870, 689, 519, 17900, 540, 519, 2011, 267, 8209, 32290, 543, 267, 18867, 267, 32290, 31380, 563, 2005, 9727, 2417, 602, 972, 616, 1079, 3982, 11775, 538, 519, 2242, 540, 519, 1973, 563, 2005, 568, 3020, 602, 631, 269, 30854, 584, 1705, 711, 3247, 606, 8216, 547, 2015, 519, 7613, 540, 30243, 1637, 267, 855, 646, 4767, 602, 519, 16796, 267, 693, 1101, 11993, 23469, 267, 2968, 676, 5232, 2699, 267, 1287, 2620, 6960, 267, 1510, 1202, 12371, 593, 519, 7271, 540, 519, 19432, 540, 519, 8052, 543, 519, 1163, 13955, 543, 512, 731, 344, 32442, 540, 519, 16796, 799, 7436, 519, 30134, 618, 540, 519, 2034, 5123, 543, 799, 5205, 865, 4010, 519, 4616, 540, 5135, 799, 519, 1973, 8659, 267, 602, 519, 2278, 5128, 1449, 1881, 547, 519, 10338, 540, 513, 1507, 7274, 540, 519, 5135, 538, 1010, 1166, 3696, 609, 513, 7222, 2504, 540, 3327, 545, 3679, 269, 4438, 519, 2034, 5123, 267, 538, 799, 519, 688, 655, 18331, 32290, 811, 543, 811, 267, 1973, 14848, 616, 4646, 267, 693, 2063, 519, 5895, 2737, 616, 10032, 543, 14897, 1247, 519, 27417, 514, 799, 29802, 873, 538, 519, 3060, 4646, 676, 621, 26438, 811, 543, 811, 563, 1607, 4605, 2982, 5693, 602, 1282, 519, 1079, 11775, 519, 27327, 568, 693, 2899, 3114, 543, 26715, 267, 10678, 538, 519, 9552, 543, 2698, 14897, 766, 540, 519, 5895, 2737, 563, 3719, 547, 1018, 2014, 1705, 631, 269, 30854, 584, 607, 9216, 971, 605, 323, 16406, 2360, 286, 769, 476, 5908, 274, 646, 849, 4603, 539, 593, 4887, 17145, 267, 708, 23550, 1250, 1505, 540, 7634, 267, 13868, 1212, 657, 1774, 676, 4568, 269, 1261, 20386, 909, 513, 2019, 6058, 748, 2527, 540, 17145, 538, 513, 32028, 267, 865, 8898, 538, 4568, 267, 543, 2451, 621, 547, 3294, 563, 257, 2467, 786, 711, 581, 1022, 2322, 516, 8351, 267, 646, 1767, 267, 711, 538, 519, 9703, 267, 1317, 519, 17900, 540, 519, 642, 756, 686, 657, 616, 15534, 267, 6862, 608, 27238, 1317, 519, 22643, 832, 540, 4568, 17225, 519, 1646, 540, 519, 17900, 593, 519, 2627, 1701, 11048, 519, 2278, 14468, 602, 519, 5779, 834, 13069, 877, 3014, 344, 538, 513, 14733, 6073, 1701, 1656, 1946, 1705, 621, 1831, 3014, 344, 286, 15439, 267, 1767, 646, 267, 834, 20357, 621, 568, 7543, 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 ]
[ 950, 621, 3914, 519, 3803, 3942, 540, 4070, 538, 476, 1708, 277, 630, 652, 13846, 12032, 4266, 264, 543, 786, 20546, 519, 476, 14341, 2173, 2678, 2389, 718, 21853, 332, 24130, 540, 5125, 799, 8066, 519, 2140, 4867, 563, 268, 634, 26720, 779, 13411, 1216, 23935, 616, 1500, 540, 9649, 804, 600, 16115, 689, 519, 13372, 563, 268, 32371, 2784, 320, 12259, 807, 729, 7396, 607, 513, 20648, 2622, 11595, 13505, 538, 476, 2735, 275, 585, 922, 2189, 6189, 563, 26903, 27837, 25181, 5071, 454, 763, 3017, 540, 5487, 32371, 2784, 320, 779, 9703, 1374, 547, 824, 3909, 5656, 538, 2342, 568, 621, 568, 6273, 676, 2470, 269, 717, 16728, 3494, 602, 1919, 1058, 581, 1500, 547, 18613, 519, 2470, 269, 1924, 646, 2966, 519, 32371, 2784, 320, 12259, 807, 779, 9703, 1759, 593, 1018, 646, 568, 7487, 563, 763, 9703, 22225, 18613, 4054, 267, 543, 950, 596, 1413, 693, 873, 5702, 267, 741, 5546, 7683, 1689, 1175, 899, 519, 1483, 4054, 269, 1703, 568, 849, 513, 12475, 18857, 543, 14854, 8066, 909, 891, 22225, 267, 8204, 1312, 519, 3618, 543, 519, 4262, 563, 7628, 519, 5053, 6406, 2782, 769, 476, 4350, 277, 267, 32371, 2784, 320, 12259, 807, 729, 6836, 547, 581, 10032, 676, 513, 1895, 540, 29450, 1235, 676, 4259, 3595, 547, 519, 6939, 269, 9282, 930, 1271, 4070, 2326, 941, 10032, 267, 9684, 2696, 1100, 835, 729, 10413, 543, 930, 824, 1919, 616, 10710, 563, 19013, 267, 717, 16728, 5747, 2395, 1310, 606, 8009, 269, 1261, 729, 5734, 676, 513, 911, 332, 269, 543, 634, 32371, 2784, 320, 12259, 807, 568, 1753, 547, 717, 16728, 779, 19772, 269, 634, 19772, 568, 11303, 676, 2185, 669, 777, 1564, 543, 8436, 666, 3643, 519, 4056, 779, 19772, 799, 568, 4092, 538, 519, 11895, 1377, 540, 519, 26720, 563, 763, 14844, 2032, 11120, 1228, 454, 763, 1614, 1795, 3547, 540, 5487, 32371, 2784, 320, 616, 1572, 968, 303, 6842, 11120, 1228, 5608, 519, 968, 10908, 800, 11120, 1228, 892, 543, 519, 968, 301, 18356, 11120, 1228, 6100, 634, 13675, 7450, 540, 519, 14844, 2032, 1795, 1228, 568, 2966, 609, 3909, 18810, 3957, 607, 519, 968, 28775, 10689, 3118, 5608, 968, 293, 28216, 10689, 3118, 892, 543, 519, 968, 2419, 10846, 8065, 3118, 9731, 16449, 519, 1614, 267, 634, 14844, 2032, 1795, 1228, 729, 519, 1152, 1795, 1228, 6192, 676, 717, 7596, 6403, 5128, 269, 12989, 616, 930, 5784, 540, 32371, 2784, 320, 779, 5207, 1448, 540, 519, 1795, 3547, 563, 10817, 3660, 676, 519, 26720, 779, 5234, 338, 543, 4663, 10274, 267, 8436, 666, 1569, 519, 1795, 3547, 998, 6173, 2209, 855, 13657, 568, 513, 1590, 998, 519, 9395, 11444, 543, 18700, 24383, 602, 13462, 519, 20610, 563, 2691, 596, 6368, 1205, 883, 519, 14844, 2032, 13486, 267, 596, 666, 21649, 707, 4064, 883, 519, 31858, 25271, 5784, 540, 30209, 269, 12989, 616, 930, 2592, 543, 2749, 5784, 982, 596, 666, 1294, 689, 519, 1283, 563, 763, 11599, 26720, 568, 1175, 835, 540, 519, 1158, 3146, 11471, 5863, 25704, 540, 4056, 16653, 328, 717, 16728, 602, 1058, 711, 581, 14406, 950, 9683, 519, 4975, 540, 717, 16728, 563, 29128, 1985, 942, 256, 0, 288, 1390, 4308, 540, 2189, 6436, 616, 2919, 538, 606, 3801, 547, 11963, 856, 519, 3875, 18125, 540, 1480, 14063, 612, 904, 2208, 269, 2372, 924, 513, 3099, 540, 938, 4205, 723, 519, 12588, 547, 1764, 1072, 543, 1590, 581, 3144, 1416, 540, 676, 8808, 1416, 269, 10801, 6530, 1686, 267, 6266, 540, 1114, 1126, 2208, 6436, 723, 7153, 547, 2491, 519, 2242, 799, 4755, 1282, 519, 2038, 6712, 540, 1272, 563, 3383, 1058, 596, 1058, 2308, 2852, 1557, 5856, 2228, 267, 649, 2461, 1175, 519, 1004, 945, 596, 3580, 991, 547, 3346, 269, 14210, 1296, 1394, 267, 519, 19633, 2872, 2965, 1500, 513, 3375, 547, 9784, 873, 543, 1500, 513, 7580, 3903, 547, 1711, 513, 6093, 5619, 269, 1280, 1022, 9645, 960, 621, 779, 9090, 1732, 547, 2628, 513, 7552, 547, 519, 3312, 3069, 563, 288, 2603, 540, 1004, 616, 6899, 609, 519, 10206, 602, 972, 568, 2469, 547, 581, 606, 11999, 2706, 1598, 23628, 540, 2043, 945, 3274, 2291, 1510, 6616, 519, 15683, 540, 960, 269, 2368, 2043, 1451, 1732, 538, 513, 6671, 1362, 5790, 269, 589, 1895, 540, 2043, 9361, 1472, 519, 3349, 543, 6158, 4465, 1406, 2709, 596, 5499, 4388, 585, 707, 25584, 563, 8448, 2090, 5532, 547, 13460, 5059, 593, 519, 1259, 547, 946, 2875, 2773, 1239, 547, 948, 2697, 1053, 602, 616, 10010, 269, 898, 779, 2009, 547, 9585, 676, 519, 4170, 540, 519, 6437, 267, 855, 519, 2259, 540, 1565, 786, 581, 7283, 1930, 269, 1215, 606, 2856, 568, 6956, 543, 1031, 538, 8808, 3884, 1406, 8209, 519, 3169, 1482, 607, 875, 602, 2856, 568, 6956, 543, 1031, 538, 1114, 10459, 563, 9827, 267, 16565, 513, 1732, 8223, 540, 707, 4819, 779, 1646, 5291, 2517, 1440, 3430, 269, 706, 651, 12975, 17320, 2784, 786, 1450, 596, 547, 2697, 543, 948, 873, 3914, 741, 3003, 1761, 538, 1169, 3942, 269, 4935, 267, 1577, 779, 1491, 513, 4090, 547, 4983, 10058, 2516, 267, 1018, 789, 616, 2693, 547, 2709, 609, 5718, 5759, 543, 513, 1906, 4583, 267, 18840, 20200, 531, 1806, 585, 1142, 269, 769, 2013, 596, 1745, 513, 1966, 568, 4947, 689, 1945, 1114, 267, 2285, 3054, 5491, 585, 6616, 1732, 543, 20089, 547, 3605, 519, 3501, 4387, 547, 3605, 811, 3823, 519, 1966, 538, 519, 1318, 1259, 563, 2252, 596, 2461, 10478, 547, 1491, 1416, 540, 513, 1880, 2783, 267, 1287, 12353, 7886, 1223, 7654, 581, 26656, 585, 513, 1906, 4374, 269, 4475, 267, 519, 3501, 2832, 540, 2069, 568, 8757, 547, 519, 18631, 3970, 540, 519, 1268, 2208, 1761, 269, 4475, 267, 519, 4998, 3804, 540, 2069, 568, 8757, 547, 519, 18631, 3970, 540, 519, 1268, 2208, 1761, 563, 2414, 2743, 519, 7569, 540, 2550, 543, 741, 3885, 267, 621, 814, 547, 581, 4956, 676, 1699, 1382, 543, 519, 4998, 2963, 269, 1703, 779, 513, 521, 14184, 15624, 540, 9520, 602, 4043, 547, 798, 519, 1808, 1482, 3364, 269, 4107, 873, 1294, 1100, 1761, 538, 741, 2123, 2104, 563, 763, 22436, 540, 9537, 540, 16711, 28636, 454, 763, 3504, 2856, 540, 513, 11963, 568, 4051, 633, 269, 1411, 1223, 946, 519, 6351, 540, 938, 589, 7246, 15853, 20536, 547, 2097, 909, 609, 513, 3501, 15853, 269, 4475, 23066, 543, 8398, 21288, 3965, 616, 3371, 267, 5291, 2517, 531, 671, 2607, 338, 2190, 327, 2593, 32551, 5291, 2517, 718, 335, 1571, 2190, 327, 2593, 32551, 5291, 2517, 321, 8500, 1017, 2581, 1467, 2190, 327, 2593, 32551, 5291, 2517, 25975, 2988, 1571, 2190, 327, 2593, 32551, 5291, 2517, 25975, 2988, 1571, 26020, 2190, 327, 2593, 32551, 5291, 2517, 25975, 903, 843, 523, 2378, 15714, 1467, 2190, 327, 2593, 32551, 5291, 2517, 321, 8500, 339, 611, 531, 2378, 15714, 1467, 2190, 327, 2593, 32551, 5291, 2517, 321, 8500, 12858, 27558, 26020, 2190, 327, 2593, 32551, 5291, 2517, 3832, 777, 12858, 27558, 26020, 2593, 32551, 5291, 2517, 15276, 268, 22967, 29335, 32551, 5291, 2517, 867, 969, 328, 698, 2350, 515, 777, 2593, 32551, 5291, 2517, 339, 611, 531, 2378, 2812, 843, 523, 2378, 559, 2593, 32551, 1934, 267, 1934, 267, 1934, 267, 1934, 267, 1934, 267, 1934, 267, 1934, 267, 1934, 267, 1934, 267, 1934, 267, 1934, 269, 13883, 538, 1585, 6810, 540, 519, 2634, 563, 10907, 27854, 4574, 666, 1406, 2270, 1022, 6786, 540, 17096, 269, 26479, 616, 3351, 2213, 547, 6655, 519, 2949, 4644, 540, 519, 2035, 540, 519, 3069, 269, 4828, 1603, 3085, 520, 2115, 547, 581, 2352, 563, 18404, 659, 4321, 2994, 616, 1500, 547, 6895, 5042, 3356, 269, 589, 835, 24733, 4588, 7650, 540, 519, 5697, 1808, 8808, 3069, 568, 2556, 269, 17738, 585, 1382, 2079, 786, 581, 8268, 563, 272, 4990, 540, 3069, 1522, 711, 581, 4294, 547, 782, 12204, 540, 3461, 2175, 269, 634, 3069, 568, 602, 2792, 9648, 538, 519, 513, 288, 1066, 12711, 786, 581, 267, 538, 519, 13557, 540, 6381, 267, 519, 6574, 543, 1034, 2500, 2792, 269, 7216, 16023, 3069, 6069, 602, 8806, 513, 7008, 7209, 7592, 723, 519, 2702, 547, 1265, 856, 519, 1967, 540, 513, 6205, 563, 4002, 519, 16212, 2427, 267, 1826, 4083, 2792, 729, 9863, 547, 2087, 519, 11361, 4633, 8653, 269, 769, 1900, 835, 267, 519, 1268, 779, 7180, 538, 1142, 540, 519, 2185, 12331, 568, 4767, 269, 476, 272, 1106, 540, 3069, 949, 711, 581, 4294, 547, 782, 12204, 540, 3461, 2175, 563, 763, 4282, 540, 519, 2278, 543, 741, 1377, 540, 6791, 2404, 609, 519, 1888, 2115, 547, 581, 1305, 269, 634, 3390, 568, 621, 779, 1152, 513, 5618, 2165, 4368, 585, 519, 1079, 5011, 269, 17292, 513, 1888, 799, 596, 723, 930, 1702, 827, 563, 5194, 3833, 5538, 17331, 2298, 540, 772, 289, 3674, 4867, 896, 7156, 568, 621, 1131, 581, 13950, 676, 513, 521, 14184, 267, 3532, 3844, 2229, 269, 1411, 666, 2824, 689, 513, 2647, 9165, 540, 3681, 547, 2638, 519, 15226, 779, 1702, 543, 3442, 519, 1034, 5078, 2994, 543, 3435, 547, 11886, 1082, 1114, 1565, 3871, 269, 12791, 995, 2422, 729, 1500, 547, 723, 519, 2702, 547, 7001, 519, 1557, 5856, 4998, 1239, 547, 2087, 3461, 4093, 563, 2252, 596, 2461, 20916, 547, 581, 538, 519, 2816, 540, 12419, 1896, 8924, 621, 1223, 581, 1134, 4502, 6236, 8193, 707, 1360, 1378, 2241, 3760, 543, 1118, 519, 1034, 540, 1082, 16286, 779, 269, 4270, 972, 616, 513, 1906, 3681, 269, 769, 2013, 596, 4076, 3893, 960, 602, 596, 1131, 899, 11540, 593, 519, 3135, 267, 3346, 803, 827, 19169, 563, 1432, 779, 811, 267, 606, 5140, 851, 540, 9120, 3461, 1416, 568, 1644, 547, 23833, 3800, 269, 2659, 3860, 960, 568, 2469, 547, 581, 6766, 676, 3875, 2188, 552, 3052, 269, 2230, 267, 2645, 267, 4943, 725, 267, 1809, 5555, 596, 1616, 547, 1397, 909, 543, 4309, 519, 960, 2944, 269, 16480, 267, 2043, 616, 7255, 609, 621, 1317, 789, 3494, 602, 621, 779, 2469, 547, 2285, 873, 4282, 1702, 593, 875, 1655, 547, 798, 519, 3390, 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 ]
[ 1256, 11980, 6285, 563, 27852, 17605, 1419, 30598, 538, 11182, 609, 3875, 824, 1884, 2249, 269, 1879, 513, 2841, 3218, 4485, 267, 2112, 568, 17149, 563, 1103, 22465, 16374, 267, 2523, 607, 5614, 4652, 584, 3149, 267, 950, 519, 2156, 617, 616, 3384, 543, 5521, 10352, 616, 4686, 267, 2112, 3697, 20949, 14340, 269, 898, 949, 1491, 1447, 982, 606, 5662, 585, 476, 273, 10125, 547, 581, 593, 513, 2112, 3723, 532, 563, 289, 4490, 7041, 568, 4140, 5534, 269, 8307, 909, 547, 476, 272, 270, 276, 628, 540, 513, 12733, 568, 25945, 585, 2112, 267, 538, 2013, 513, 476, 274, 6113, 5428, 8942, 606, 1651, 2720, 542, 563, 306, 1245, 4536, 6443, 6370, 607, 10728, 2272, 1218, 269, 1323, 1367, 11832, 17767, 519, 9329, 540, 1200, 16649, 2176, 563, 2026, 1352, 11438, 593, 519, 4339, 267, 513, 17199, 666, 1205, 513, 2631, 540, 3448, 2338, 269, 1403, 856, 333, 3518, 1229, 267, 2792, 1063, 32626, 19946, 13071, 873, 18956, 679, 11792, 572, 563, 289, 25114, 2356, 2063, 1100, 811, 982, 513, 1906, 3108, 269, 898, 568, 13777, 850, 585, 513, 9561, 2427, 547, 4339, 593, 269, 12736, 2996, 723, 1100, 1719, 538, 16565, 811, 8513, 982, 789, 666, 11593, 9718, 543, 17908, 563, 5278, 1884, 2249, 723, 513, 2027, 267, 10641, 10999, 3982, 4108, 22634, 269, 11335, 10125, 540, 623, 22727, 1961, 23080, 573, 3121, 723, 7980, 609, 3677, 4703, 543, 9843, 982, 824, 4600, 269, 634, 3677, 2212, 8383, 919, 811, 3532, 8260, 1043, 6091, 563, 289, 4490, 4497, 906, 2154, 10136, 269, 589, 12733, 602, 3587, 3222, 540, 513, 15231, 9566, 666, 5965, 585, 2112, 676, 9960, 513, 10627, 30119, 563, 301, 9309, 2742, 1749, 666, 4268, 16793, 8023, 547, 6536, 3606, 7980, 269, 901, 2501, 693, 519, 13258, 540, 556, 2130, 4600, 540, 824, 5641, 525, 269, 1323, 1884, 12733, 568, 6297, 711, 547, 21467, 343, 12323, 922, 4108, 6578, 693, 519, 1942, 540, 22657, 13884, 563, 13528, 3821, 4874, 551, 6511, 267, 513, 7187, 3864, 2699, 3574, 1884, 267, 3792, 1206, 513, 811, 7542, 665, 1190, 1935, 693, 2053, 269, 589, 9566, 949, 2490, 30380, 569, 562, 7360, 538, 2038, 5614, 952, 1426, 8255, 2110, 281, 20387, 5579, 659, 762, 30295, 1996, 30347, 540, 741, 1378, 2249, 267, 607, 1134, 607, 824, 17605, 267, 530, 31441, 856, 782, 538, 741, 1259, 547, 2698, 2531, 514, 542, 540, 519, 2199, 7226, 563, 5278, 17605, 723, 588, 902, 281, 1031, 547, 2149, 1996, 32456, 267, 9718, 8513, 267, 543, 7001, 10352, 269, 589, 623, 517, 518, 710, 1884, 2249, 538, 14913, 5607, 3096, 922, 588, 5424, 29086, 8335, 4470, 2390, 519, 2450, 540, 922, 10779, 776, 269, 18830, 513, 1804, 818, 6605, 617, 10546, 267, 513, 623, 517, 518, 710, 588, 902, 547, 6146, 269, 1403, 3079, 16091, 676, 1507, 623, 22727, 1961, 17605, 267, 513, 623, 517, 518, 710, 30809, 2083, 14613, 540, 29086, 547, 3382, 519, 31487, 269, 634, 623, 22727, 1961, 1107, 536, 690, 3022, 1524, 543, 4988, 538, 8389, 628, 1107, 14678, 6336, 741, 26490, 4369, 563, 15703, 1514, 17605, 2259, 8474, 540, 824, 7810, 1884, 2249, 269, 634, 28816, 1977, 10553, 2173, 6033, 1884, 2729, 1055, 922, 10437, 267, 799, 616, 513, 1114, 1884, 269, 634, 8418, 951, 798, 711, 28532, 585, 1426, 267, 1416, 585, 741, 2156, 617, 267, 6862, 798, 789, 9718, 741, 20097, 269, 5502, 267, 741, 10437, 798, 519, 960, 269, 589, 1507, 8418, 591, 12733, 814, 513, 22072, 15596, 267, 476, 273, 547, 476, 276, 4600, 267, 543, 476, 1789, 547, 476, 2568, 10437, 563, 20228, 1511, 2173, 6033, 17605, 616, 12050, 986, 11107, 281, 4782, 2590, 547, 4323, 3677, 10125, 267, 1498, 12557, 741, 6285, 950, 519, 3077, 9566, 814, 1034, 540, 922, 4600, 538, 519, 2361, 269, 12833, 8172, 519, 9566, 267, 4600, 1369, 616, 7166, 269, 634, 8418, 951, 21102, 16793, 563, 28444, 331, 8491, 11832, 17605, 1416, 585, 519, 2156, 16104, 540, 1312, 519, 10553, 2173, 6033, 543, 519, 1985, 5108, 540, 10437, 282, 855, 1152, 909, 547, 513, 1448, 269, 4495, 16793, 7782, 622, 267, 20665, 17605, 666, 2995, 676, 20416, 519, 28928, 10437, 689, 519, 8418, 951, 269, 589, 8101, 1297, 540, 10553, 16234, 616, 7166, 676, 10553, 4600, 563, 306, 5055, 591, 7782, 2801, 616, 20495, 267, 610, 8362, 16091, 543, 14324, 6306, 269, 11153, 10437, 949, 14228, 909, 593, 513, 1219, 523, 1088, 612, 7782, 320, 269, 3416, 331, 8491, 4600, 798, 711, 2047, 4324, 267, 607, 789, 798, 711, 16196, 282, 855, 741, 19946, 538, 519, 3984, 9566, 616, 5280, 563, 20228, 1511, 6194, 10125, 8697, 676, 10553, 15141, 687, 1332, 811, 7444, 269, 9540, 518, 10553, 2173, 6033, 10125, 616, 1447, 2912, 20160, 281, 10647, 1906, 986, 1749, 609, 1447, 16160, 1198, 563, 2467, 616, 13664, 3604, 538, 519, 4640, 540, 1346, 1641, 547, 17760, 29713, 269, 15783, 10553, 17605, 538, 1715, 3840, 616, 2523, 10728, 267, 1419, 2111, 547, 555, 23702, 986, 1749, 269, 769, 4639, 9098, 267, 18326, 568, 811, 1455, 267, 607, 15231, 10125, 616, 1419, 5702, 1644, 547, 519, 10437, 563, 12901, 338, 786, 5944, 15093, 2933, 585, 741, 12733, 269, 2311, 519, 3665, 267, 519, 15790, 10938, 1884, 630, 290, 2086, 517, 582, 639, 10487, 526, 619, 328, 1070, 21049, 547, 519, 7733, 540, 17111, 543, 5696, 2317, 328, 267, 568, 513, 3710, 2987, 10514, 269, 901, 15790, 10938, 1884, 814, 476, 273, 11104, 3585, 23762, 8260, 24212, 15374, 602, 2196, 519, 3259, 540, 922, 1560, 269, 1452, 15374, 3132, 513, 15116, 17872, 6219, 563, 2252, 9561, 538, 8396, 267, 513, 11832, 3423, 1836, 11731, 922, 14159, 6091, 267, 8297, 696, 1005, 922, 575, 2120, 630, 516, 541, 10126, 264, 693, 519, 954, 572, 8540, 531, 16784, 269, 901, 849, 28377, 922, 8260, 24212, 15374, 563, 288, 20202, 21131, 884, 9749, 538, 782, 8846, 689, 519, 4395, 540, 519, 1884, 779, 2212, 269, 901, 1351, 4592, 633, 15441, 543, 3114, 8886, 656, 1303, 9201, 543, 1799, 984, 559, 3278, 782, 1346, 7404, 563, 5278, 17605, 2057, 28896, 950, 5185, 609, 606, 10779, 776, 540, 519, 1482, 2249, 269, 769, 513, 4655, 936, 25061, 8513, 267, 9932, 13607, 17605, 4497, 538, 9161, 2065, 4663, 23788, 269, 589, 2582, 1884, 666, 9594, 513, 29658, 267, 799, 666, 1332, 547, 1896, 4627, 1373, 3238, 267, 607, 1085, 8083, 15313, 5171, 563, 13480, 619, 1085, 25744, 827, 267, 11926, 741, 705, 3256, 839, 543, 15198, 741, 7953, 267, 3843, 547, 1413, 3677, 982, 789, 616, 269, 1358, 2417, 519, 21903, 676, 5275, 2362, 2666, 267, 971, 607, 7555, 593, 890, 6277, 956, 563, 2691, 476, 273, 10779, 2456, 13720, 835, 1776, 267, 789, 795, 739, 548, 585, 513, 1906, 7643, 267, 2394, 835, 3947, 909, 269, 634, 1079, 3136, 547, 519, 1985, 16311, 267, 2394, 835, 2427, 7173, 5661, 676, 10230, 512, 958, 269, 5589, 8816, 619, 1832, 1293, 563, 763, 9561, 2427, 3533, 12823, 952, 513, 16311, 568, 1932, 19514, 269, 1358, 18956, 547, 741, 9566, 267, 2673, 1055, 519, 13675, 267, 543, 12404, 856, 2394, 519, 30347, 723, 2451, 269, 1403, 789, 616, 711, 3728, 2614, 267, 519, 3677, 1895, 786, 986, 573, 519, 4130, 12733, 779, 9566, 281, 27560, 6740, 1426, 267, 705, 2265, 532, 16793, 267, 543, 11318, 30842, 563, 2026, 513, 2339, 540, 2259, 267, 9932, 26105, 616, 19814, 5443, 281, 27560, 1426, 689, 824, 17605, 269, 623, 690, 16860, 3944, 1410, 267, 513, 3771, 1407, 614, 1884, 267, 25173, 5452, 543, 606, 17573, 2165, 924, 269, 1403, 9575, 676, 513, 9932, 13607, 267, 519, 3771, 1407, 614, 568, 3775, 5523, 540, 922, 705, 2265, 539, 2165, 924, 563, 303, 690, 16860, 3944, 1410, 568, 711, 1219, 523, 1088, 612, 269, 4706, 29086, 568, 3833, 6757, 281, 1082, 2053, 602, 540, 519, 9932, 23331, 267, 13380, 547, 513, 25865, 571, 13131, 269, 1809, 623, 690, 16860, 3944, 1410, 15395, 741, 29097, 585, 11975, 267, 16113, 18057, 539, 28499, 269, 700, 3151, 513, 21687, 2165, 924, 568, 711, 4502, 1651, 584, 2590, 519, 32716, 540, 9932, 26105, 563, 295, 2292, 13607, 17605, 616, 2933, 6408, 1242, 676, 8792, 5983, 2993, 639, 533, 745, 16394, 639, 17605, 269, 1452, 6263, 9810, 1235, 946, 6757, 5728, 687, 547, 19531, 622, 543, 28958, 9932, 13607, 14425, 563, 293, 269, 929, 684, 3930, 639, 3006, 18271, 513, 811, 16529, 14404, 720, 332, 281, 789, 5531, 538, 554, 867, 525, 693, 9932, 13607, 9566, 9475, 267, 1210, 741, 3114, 9604, 547, 3196, 519, 8273, 17605, 11895, 269, 2060, 519, 9932, 26105, 23498, 689, 741, 10122, 8513, 267, 5983, 2993, 639, 666, 7556, 513, 3677, 2671, 540, 2139, 1426, 563, 299, 17415, 568, 606, 5805, 1061, 1308, 1884, 2623, 269, 1280, 835, 267, 519, 21049, 3703, 555, 3971, 1884, 568, 513, 1804, 8397, 561, 2393, 518, 269, 20709, 2007, 513, 3060, 540, 25310, 11836, 741, 9566, 547, 513, 7023, 547, 581, 22983, 269, 16270, 11579, 7992, 741, 6408, 779, 12733, 267, 555, 3971, 17605, 535, 754, 1055, 9718, 619, 609, 3114, 28084, 1218, 269, 634, 555, 773, 1407, 2879, 2255, 2156, 617, 575, 16421, 543, 4163, 873, 1394, 547, 741, 9566, 585, 1426, 6006, 563, 288, 524, 7342, 13390, 1081, 602, 555, 3971, 17605, 1491, 568, 547, 1118, 741, 9101, 15102, 1932, 7522, 585, 7006, 1601, 612, 539, 9601, 547, 11654, 873, 269, 4935, 267, 519, 555, 773, 1407, 1118, 1055, 609, 741, 18849, 344, 1510, 4250, 540, 1065, 5142, 531, 563, 20751, 513, 2249, 267, 1114, 10125, 540, 17605, 723, 1114, 2157, 540, 26490, 4369, 269, 589, 12733, 814, 922, 1378, 1367, 1915, 267, 14436, 540, 519, 15596, 4433, 1916, 2467, 616, 849, 3982, 14789, 1369, 606, 1884, 12733, 269, 2368, 2043, 616, 6923, 811, 10728, 982, 1866, 563, 12901, 338, 538, 513, 12733, 3335, 2220, 1301, 547, 4323, 606, 11371, 31335, 269, 898, 568, 513, 2824, 1895, 602, 1289, 2933, 547, 8396, 267, 1256, 1851, 17605, 602, 1810, 1406, 723, 7463, 5641, 525, 563, 288, 1375, 1833, 9356, 12733, 6498, 540, 4074, 269, 7352, 1464, 538, 2623, 3270, 568, 606, 1271, 3693, 538, 513, 12733, 779, 1967, 563, 4407, 14699, 568, 1455, 1851, 17605, 267, 930, 2249, 2760, 4323, 269, 4256, 14302, 568, 2141, 17872, 563, 20812, 523, 553, 267, 544, 784, 334, 4680, 267, 543, 32315, 2763, 525, 13230, 1895, 13137, 2390, 1142, 824, 267, 26723, 839, 4601, 585, 8513, 267, 1498, 519, 5208, 602, 2043, 1102, 12787, 1419, 2484, 20489, 13766, 547, 602, 3483, 269, 4347, 324, 730, 9601, 616, 1419, 7166, 610, 544, 2727, 539, 2864, 982, 4847, 547, 9101, 1510, 3978, 5945, 269, 4173, 321, 643, 5387, 11864, 616, 711, 1634, 585, 971, 28877, 563, 1103, 606, 3236, 540, 12105, 20451, 267, 11815, 3726, 748, 5208, 568, 2523, 1455, 1851, 1978, 575, 2958, 13895, 11864, 269, 932, 574, 3966, 2763, 525, 543, 3425, 616, 8037, 585, 741, 10795, 21274, 267, 1519, 575, 4474, 909, 593, 27303, 9601, 269, 4256, 605, 743, 2032, 547, 5208, 568, 607, 1454, 513, 2686, 8984, 607, 6211, 269, 12877, 326, 3240, 32315, 2763, 525, 1107, 13755, 984, 657, 1107, 616, 2673, 14077, 945, 798, 711, 11593, 4497, 538, 5208, 563, 29189, 783, 5208, 1851, 2249, 568, 711, 3808, 676, 16857, 7287, 267, 607, 621, 568, 9141, 676, 606, 15587, 1114, 8007, 1062, 269, 1280, 24862, 22149, 814, 1044, 4767, 538, 5017, 267, 20910, 267, 23522, 267, 10359, 574, 1495, 529, 267, 536, 662, 1941, 13265, 267, 3552, 9640, 267, 543, 610, 836, 583, 753, 267, 607, 1134, 607, 1373, 5805, 1061, 1308, 1851, 2367, 563, 290, 745, 601, 1399, 568, 1419, 931, 24594, 281, 5208, 1996, 1514, 15712, 269, 2480, 1901, 2998, 908, 1107, 2206, 1782, 856, 513, 6408, 585, 1895, 14699, 1107, 814, 1044, 2938, 538, 1585, 1514, 11864, 267, 2523, 27604, 2831, 563, 1103, 519, 3552, 267, 606, 26723, 2350, 1242, 3662, 949, 4734, 513, 1895, 282, 855, 711, 2141, 269, 589, 18896, 1522, 711, 1152, 581, 522, 755, 539, 689, 922, 3640, 267, 855, 849, 30380, 569, 16091, 676, 824, 20384, 563, 297, 20454, 344, 814, 1044, 4767, 1851, 1585, 1514, 2831, 267, 1519, 1612, 12783, 543, 610, 322, 553, 269, 8187, 4775, 32315, 2763, 525, 616, 1634, 547, 535, 4669, 1947, 4734, 741, 1895, 547, 2941, 3634, 609, 1970, 8573, 21403, 9038, 267, 547, 2057, 23279, 5208, 689, 9038, 609, 2362, 1514, 4567, 269, 0, 17951, 601, 3821, 700, 269, 568, 835, 540, 519, 1034, 1134, 8153, 25281, 540, 519, 7442 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 9356, 513, 3376, 13618, 593, 2500, 5464, 543, 11268, 267, 536, 753, 593, 519, 2152, 540, 24684, 1646, 269, 634, 9431, 1104, 540, 10648, 5452, 616, 540, 1100, 1198, 630, 25911, 850, 476, 1220, 276, 1040, 634, 5943, 18252, 519, 24787, 2016, 676, 519, 14295, 698, 6511, 695, 3612, 540, 10286, 3340, 13451, 31383, 11149, 547, 16257, 593, 645, 3930, 23245, 585, 2477, 547, 9772, 811, 2057, 26516, 10648, 302, 1587, 12526, 269, 22608, 8825, 3800, 982, 519, 8815, 4475, 267, 3743, 17293, 540, 10648, 7031, 2115, 5934, 1305, 856, 538, 519, 16257, 269, 634, 3979, 645, 3930, 23245, 547, 7854, 519, 2898, 2029, 1646, 7844, 4521, 17767, 519, 2956, 540, 4000, 607, 513, 1184, 267, 689, 519, 840, 3146, 3161, 1981, 4879, 267, 547, 8998, 540, 5169, 543, 513, 8998, 540, 4763, 609, 2543, 547, 19777, 23245, 9270, 267, 547, 2022, 3146, 3161, 5464, 1426, 543, 824, 7031, 269, 898, 2306, 11865, 585, 6236, 630, 11902, 302, 476, 1220, 276, 1040, 16424, 10648, 7031, 786, 1683, 14227, 2188, 538, 12570, 4220, 543, 1344, 585, 4507, 543, 6042, 282, 621, 786, 2285, 3255, 269, 6206, 3656, 3741, 543, 4485, 12696, 543, 14519, 1732, 1344, 547, 948, 11368, 1331, 281, 873, 1020, 10930, 10073, 3157, 269, 2340, 17302, 2776, 8619, 1081, 776, 282, 2340, 17302, 634, 19988, 1318, 540, 1169, 2197, 547, 2154, 513, 681, 9680, 12778, 3201, 19419, 303, 2177, 306, 2464, 11826, 1981, 4879, 540, 1022, 10648, 302, 585, 1022, 946, 634, 3979, 645, 3930, 23245, 7844, 4521, 729, 7550, 676, 519, 1354, 1022, 3375, 3823, 519, 10648, 302, 568, 1500, 282, 543, 22847, 693, 922, 476, 10619, 628, 18103, 2435, 29140, 538, 700, 639, 10440, 267, 2098, 25995, 267, 538, 2340, 17302, 589, 15668, 543, 2699, 816, 12512, 269, 5147, 476, 1220, 272, 267, 543, 24016, 4759, 2829, 547, 946, 519, 3979, 645, 3930, 23245, 7844, 4521, 547, 8908, 741, 1378, 634, 3979, 645, 3930, 23245, 7844, 4521, 2488, 513, 11455, 543, 3084, 3656, 7405, 269, 3102, 1305, 540, 19777, 23245, 3652, 1519, 2152, 602, 616, 711, 18808, 609, 676, 519, 645, 3930, 23245, 16257, 269, 1452, 1331, 16601, 2978, 2454, 543, 8446, 610, 10250, 1464, 4170, 585, 10648, 11675, 543, 10648, 1426, 267, 543, 15668, 543, 2699, 816, 585, 2800, 3361, 676, 10648, 11675, 547, 1480, 1072, 543, 519, 1604, 267, 543, 585, 25739, 2804, 2530, 630, 9802, 564, 476, 1220, 274, 1040, 590, 18510, 268, 3918, 294, 12778, 3201, 6673, 24165, 21815, 2464, 14520, 6237, 2804, 2950, 538, 4000, 267, 12077, 519, 9483, 8189, 540, 4639, 3979, 2276, 630, 4488, 8582, 3008, 1070, 519, 5101, 3979, 7991, 630, 292, 3722, 1070, 519, 9483, 7991, 540, 6239, 3979, 2276, 630, 4488, 290, 3008, 1070, 519, 3955, 32744, 16958, 593, 4886, 630, 5456, 4696, 1070, 519, 8828, 3979, 4886, 7991, 630, 306, 4696, 290, 264, 543, 519, 6259, 10067, 26572, 321, 5742, 630, 4456, 308, 264, 723, 3144, 519, 1291, 538, 3384, 3609, 5583, 593, 10648, 302, 1382, 267, 2504, 543, 6725, 538, 741, 9757, 4525, 269, 769, 918, 2086, 8403, 267, 538, 5437, 476, 1220, 273, 267, 6694, 26110, 540, 519, 5871, 10369, 585, 8109, 543, 8828, 4000, 630, 26376, 2464, 288, 1070, 8815, 547, 1711, 513, 6237, 3609, 593, 10648, 11675, 269, 6684, 267, 519, 590, 4696, 290, 3964, 606, 28007, 12233, 593, 10648, 11675, 547, 1020, 4808, 543, 547, 4217, 4759, 2829, 538, 1368, 8973, 1996, 1761, 4220, 538, 1426, 3106, 267, 12526, 540, 4719, 2200, 267, 5683, 2152, 267, 4123, 268, 1644, 2152, 543, 7082, 4145, 269, 1452, 616, 1305, 856, 538, 13340, 476, 1556, 269, 634, 661, 3722, 814, 5227, 17265, 543, 3384, 513, 1455, 3609, 593, 10648, 11675, 269, 634, 30312, 4696, 763, 6079, 4871, 693, 519, 918, 11445, 301, 326, 9774, 848, 26478, 685, 5948, 21543, 538, 7187, 918, 11445, 313, 21343, 9539, 7614, 269, 2818, 4646, 513, 7638, 2305, 543, 16424, 12243, 13126, 281, 4437, 578, 2255, 630, 309, 21587, 264, 547, 2327, 602, 1426, 6351, 581, 14468, 607, 1863, 454, 306, 4488, 3582, 476, 274, 2340, 17302, 661, 631, 661, 681, 22542, 15726, 595, 670, 3201, 4041, 715, 12283, 590, 476, 26825, 3848, 476, 280, 2340, 17302, 2637, 13443, 3525, 1881, 15867, 1186, 13340, 476, 1556, 281, 590, 4696, 290, 7840, 593, 16220, 9168, 7103, 634, 1739, 7840, 941, 19775, 676, 519, 590, 4696, 290, 27545, 2340, 17302, 2353, 4759, 2829, 1058, 1129, 543, 3731, 1518, 519, 14295, 698, 6511, 16257, 593, 9730, 593, 30911, 543, 645, 3930, 23245, 543, 941, 9516, 676, 519, 645, 3930, 23245, 547, 519, 14055, 269, 590, 4696, 290, 538, 4864, 476, 1220, 274, 607, 954, 574, 3800, 6322, 693, 13057, 519, 3148, 2340, 17302, 634, 3148, 1058, 1020, 513, 11745, 2213, 3609, 543, 9431, 593, 2152, 11341, 547, 24684, 543, 19777, 23245, 269, 1949, 1759, 593, 519, 3979, 645, 3930, 23245, 7844, 4521, 543, 519, 14295, 698, 6511, 16257, 593, 645, 3930, 23245, 543, 824, 4143, 3486, 30047, 540, 1426, 5351, 3157, 269, 2340, 17302, 634, 8828, 3979, 4886, 7991, 1058, 1020, 543, 2340, 17302, 16588, 2829, 1510, 513, 9431, 5943, 585, 10648, 7031, 1058, 9772, 513, 11745, 1242, 18302, 1344, 543, 2359, 1062, 585, 946, 9516, 4808, 543, 1058, 711, 1104, 16220, 9168, 10648, 1426, 5351, 2966, 547, 7520, 1098, 20129, 776, 3350, 538, 513, 10286, 585, 6079, 1354, 9516, 4808, 616, 538, 1747, 269, 2922, 543, 11880, 25875, 6073, 269, 2340, 17302, 11485, 10526, 1058, 581, 2944, 593, 513, 2013, 8386, 30924, 4493, 543, 2340, 17302, 634, 8828, 3979, 4886, 7991, 568, 9415, 547, 1169, 4719, 14842, 1058, 581, 7318, 538, 519, 1604, 2707, 1426, 5351, 23295, 689, 1369, 519, 3148, 267, 543, 18973, 782, 896, 799, 621, 786, 581, 5950, 269, 24625, 908, 4891, 9935, 269, 2340, 17302, 5213, 832, 3246, 10648, 1426, 5351, 1058, 16783, 609, 519, 13405, 27519, 20671, 769, 11526, 3117, 550, 6240, 543, 609, 519, 31015, 4170, 538, 2340, 17302, 16588, 2829, 1058, 1020, 19206, 693, 3084, 543, 6237, 13076, 609, 9137, 476, 1556, 540, 519, 14295, 698, 6511, 16257, 593, 645, 3930, 23245, 269, 2157, 538, 1931, 547, 1020, 543, 17908, 519, 2640, 540, 24684, 269, 2340, 17302, 5253, 5351, 931, 793, 906, 5473, 10286, 610, 1022, 9070, 894, 2030, 2340, 17302, 634, 8828, 3979, 4886, 7991, 1058, 21138, 1570, 602, 949, 2270, 10648, 11675, 1058, 581, 1984, 539, 610, 10322, 28895, 1991, 2200, 585, 4390, 20671, 538, 2359, 540, 24684, 547, 3892, 547, 519, 18689, 10706, 2551, 269, 543, 19777, 23245, 269, 2340, 17302, 5253, 5351, 538, 18302, 602, 949, 2270, 10648, 11675, 1058, 581, 5693, 2340, 17302, 634, 8828, 3979, 4886, 7991, 1058, 5000, 4857, 543, 31002, 538, 13076, 609, 3084, 9086, 269, 4759, 2829, 547, 10243, 2090, 593, 519, 6286, 540, 2340, 17302, 8828, 3979, 4886, 7991, 2477, 5883, 610, 24684, 543, 19777, 23245, 593, 6683, 267, 1604, 267, 1072, 7829, 1426, 5351, 538, 18302, 602, 949, 2270, 10648, 11675, 616, 9415, 538, 543, 8739, 31754, 607, 851, 540, 606, 7471, 5464, 543, 519, 9000, 540, 3084, 9086, 547, 1118, 946, 540, 519, 4170, 6268, 1062, 269, 896, 519, 3979, 645, 3930, 23245, 7844, 4521, 543, 5924, 519, 3162, 3979, 13832, 593, 519, 7829, 540, 18302, 1570, 799, 949, 581, 10648, 269, 5398, 4656, 543, 7589, 2340, 17302, 16588, 2829, 1058, 1020, 1857, 4656, 543, 29355, 8889, 543, 6042, 15961, 593, 24684, 543, 19777, 23245, 602, 4125, 782, 2340, 17302, 3962, 4759, 1533, 1058, 1020, 3084, 24684, 4507, 8639, 269, 543, 2994, 543, 11880, 924, 519, 1184, 540, 9591, 3084, 19777, 23245, 9431, 1949, 269, 17796, 281, 590, 4696, 290, 476, 1220, 275, 1993, 10648, 11675, 269, 17823, 10117, 2818, 540, 661, 4596, 310, 3008, 13984, 513, 18143, 8249, 269, 4033, 3148, 17253, 3906, 1889, 7566, 547, 1732, 1174, 543, 1865, 519, 2640, 971, 607, 1715, 26844, 585, 4000, 779, 4886, 663, 6937, 540, 10648, 11675, 269, 630, 301, 7968, 4696, 1070, 543, 922, 3163, 543, 5303, 10555, 30353, 1223, 723, 606, 1271, 1909, 269, 2793, 3582, 3201, 623, 5357, 2975, 312, 6730, 32045, 2311, 2547, 8370, 2477, 723, 19777, 23245, 9086, 610, 763, 991, 585, 7850, 3084, 4507, 543, 4031, 547, 4808, 1519, 5484, 514, 267, 23759, 3019, 267, 5689, 25596, 267, 2958, 3634, 24684, 1382, 543, 3715, 2500, 24381, 527, 3780, 267, 3162, 4000, 267, 25157, 267, 24063, 267, 2098, 25995, 267, 543, 817, 20156, 3157, 799, 16102, 1480, 543, 25472, 269, 19168, 267, 15057, 267, 15776, 1054, 334, 543, 4210, 1794, 559, 663, 782, 523, 16652, 1072, 568, 4922, 17019, 269, 1703, 568, 723, 8908, 9086, 602, 1039, 637, 572, 525, 519, 3390, 540, 320, 991, 547, 1020, 11745, 1242, 4485, 547, 19777, 23245, 267, 519, 5010, 1436, 540, 10648, 7031, 543, 519, 6798, 12771, 543, 519, 3979, 645, 3930, 23245, 7844, 4521, 1104, 566, 540, 10648, 3536, 269, 25075, 1938, 513, 1434, 4493, 585, 713, 267, 607, 1281, 519, 7844, 4521, 31603, 2197, 5351, 8041, 543, 3486, 1721, 519, 10466, 540, 519, 7126, 540, 10871, 18877, 267, 3906, 723, 1185, 513, 16994, 1719, 538, 5885, 519, 293, 1301, 619, 267, 6601, 539, 619, 543, 19938, 540, 7457, 547, 1646, 540, 606, 7175, 3656, 1604, 585, 454, 27844, 589, 15709, 32177, 13673, 309, 7644, 2177, 16774, 744, 7473, 26183, 10498, 476, 273, 2340, 17302, 744, 7838, 13673, 309, 7644, 2177, 16774, 267, 744, 7838, 25723, 22483, 1098, 28193, 1382, 543, 19777, 23245, 269, 2368, 540, 891, 5442, 12710, 4785, 25893, 623, 5357, 2975, 312, 11550, 290, 8577, 2464, 7341, 2408, 538, 1323, 10811, 476, 274, 7305, 476, 273, 269, 634, 2136, 2276, 32213, 3609, 3157, 267, 1759, 593, 7850, 10837, 585, 4139, 4886, 568, 519, 1034, 1344, 267, 616, 1898, 547, 3384, 3617, 3742, 538, 713, 1858, 269, 634, 2475, 814, 1044, 513, 16994, 1139, 7163, 540, 3084, 543, 6237, 6114, 269, 634, 1761, 4220, 543, 10648, 7693, 1646, 267, 5356, 621, 607, 1426, 5351, 267, 543, 519, 3255, 15054, 676, 10648, 4066, 616, 10373, 269, 2475, 568, 849, 519, 4102, 16073, 540, 10648, 7031, 269, 11153, 17423, 1818, 568, 513, 1184, 540, 12477, 1107, 547, 3979, 2477, 723, 610, 616, 538, 519, 1184, 540, 835, 779, 14218, 1890, 267, 835, 779, 2197, 543, 519, 1158, 1107, 543, 3384, 19777, 23245, 4507, 543, 1876, 998, 513, 2136, 607, 971, 621, 1590, 8209, 581, 1759, 593, 513, 20604, 540, 8315, 5113, 19510, 630, 7419, 7968, 264, 1107, 6820, 2963, 267, 711, 1152, 2963, 602, 513, 3375, 1522, 10460, 7025, 11120, 1006, 630, 294, 9128, 264, 11036, 269, 901, 4390, 268, 513, 1880, 1981, 610, 4324, 267, 855, 849, 2963, 827, 519, 2679, 1788, 6462, 476, 1911, 3384, 2477, 547, 1761, 7516, 540, 602, 1981, 610, 4324, 267, 827, 519, 5965, 3084, 19777, 23245, 10850, 269, 774, 8812, 29350, 10171, 540, 2800, 610, 5413, 267, 827, 519, 12117, 540, 3979, 2477, 723, 610, 616, 10283, 538, 713, 2139, 3800, 547, 2061, 610, 11574, 4220, 267, 543, 1788, 269, 1323, 22847, 19777, 23245, 4390, 20671, 1788, 827, 824, 2188, 543, 3871, 1369, 543, 3544, 2966, 547, 27490, 3650, 519, 11745, 1436, 540, 19777, 23245, 519, 3375, 2173, 6033, 779, 16278, 602, 1860, 519, 3375, 9086, 1063, 4759, 2829, 1759, 593, 519, 630, 21930, 476, 1220, 275, 1040, 4935, 621, 568, 2629, 585, 3375, 24237, 267, 3979, 645, 3930, 23245, 7844, 4521, 814, 1044, 2919, 269, 9777, 2209, 267, 6608, 543, 519, 3540, 2486, 267, 547, 723, 1569, 547, 7850, 5885, 1344, 269, 9717, 519, 6988, 540, 519, 2152, 693, 7196, 689, 19777, 23245, 9270, 267, 1480, 1072, 4145, 543, 5990, 654, 17751, 11123, 310, 19181, 281, 14227, 6286, 267, 621, 568, 1898, 602, 3609, 744, 13048, 18306, 7419, 296, 25765, 6730, 12164, 4306, 6938, 2562, 4811, 3157, 946, 513, 2039, 540, 2553, 602, 616, 2111, 547, 1489, 2500, 29925, 538, 891, 2127, 269, 4000, 779, 1995, 609, 10648, 4066, 568, 1869, 5266, 769, 621, 568, 849, 1271, 267, 2016, 519, 2039, 540, 4690, 693, 1007, 3379, 547, 824, 4525, 543, 621, 568, 5185, 609, 1082, 7196, 267, 602, 3609, 3157, 1831, 811, 18801, 894, 267, 2591, 593, 875, 1655, 547, 8399, 269, 11310, 267, 12001, 543, 18177, 269, 11413, 267, 14619, 543, 2270, 618, 616, 2185, 1883, 2798, 538, 1106, 6819, 513, 3280, 3979, 3609, 593, 10648, 11675, 269, 25723, 26996, 5058, 5990, 8863, 302, 21201, 5508, 589, 16165, 2975, 17109, 7838, 3201, 20525, 16739, 589, 2629, 3390, 6849, 3979, 6608, 568, 8159, 1018, 2186, 540, 1646, 543, 6694, 2994 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 19756, 9742, 609, 513, 1804, 2212, 543, 6677, 1511, 9043, 269, 1358, 723, 1507, 4064, 543, 513, 5420, 8405, 609, 14733, 18854, 1667, 269, 634, 772, 345, 684, 344, 599, 5055, 779, 7953, 543, 3952, 616, 2178, 267, 1793, 25660, 543, 18057, 344, 269, 1358, 2356, 1796, 1063, 476, 1691, 269, 272, 543, 476, 1428, 269, 272, 3946, 269, 2755, 972, 568, 1100, 4013, 801, 1433, 267, 772, 345, 684, 344, 599, 5055, 9640, 666, 581, 12349, 689, 9742, 619, 563, 763, 16368, 772, 345, 684, 344, 599, 5055, 7504, 729, 16865, 547, 4789, 538, 476, 9264, 279, 267, 950, 519, 7504, 729, 1634, 607, 519, 1635, 518, 2917, 12395, 269, 634, 7504, 729, 4547, 547, 4789, 607, 851, 540, 519, 10348, 22337, 4526, 779, 19923, 597, 817, 4536, 267, 513, 11523, 15841, 31458, 602, 1152, 7608, 9640, 540, 9120, 2597, 269, 634, 31458, 729, 2663, 26948, 519, 476, 277, 628, 19537, 2998, 517, 2871, 1841, 267, 513, 1770, 540, 5230, 15841, 26462, 269, 634, 1635, 518, 2917, 12395, 729, 936, 28465, 3946, 7381, 267, 609, 7899, 540, 5642, 543, 513, 2620, 10775, 563, 763, 12395, 2674, 772, 345, 684, 344, 11535, 21696, 729, 1101, 26870, 538, 519, 4571, 268, 866, 628, 2540, 543, 568, 835, 540, 519, 1614, 2101, 5065, 2516, 540, 9640, 538, 11894, 269, 901, 25836, 9742, 814, 513, 10639, 585, 1373, 3500, 3802, 619, 543, 666, 2951, 1279, 9883, 1510, 8833, 269, 6736, 741, 3500, 3802, 267, 519, 772, 345, 684, 344, 599, 5055, 568, 5827, 540, 513, 1390, 7086, 641, 543, 1434, 16608, 269, 1717, 267, 741, 2048, 19207, 7079, 685, 3802, 3112, 581, 13147, 17673, 563, 763, 12395, 2674, 7504, 779, 16608, 1500, 621, 835, 540, 519, 27162, 4554, 14981, 538, 519, 1158, 269, 4256, 1279, 267, 16757, 7953, 4847, 873, 547, 1847, 1472, 3533, 267, 1256, 950, 789, 941, 711, 1964, 11712, 269, 4256, 4463, 24132, 689, 19939, 547, 28465, 3946, 269, 634, 16608, 540, 519, 12395, 2674, 7504, 1500, 621, 513, 2442, 3903, 585, 7504, 17040, 269, 1717, 267, 5103, 519, 25412, 3902, 11090, 267, 789, 941, 3810, 8179, 1310, 543, 1360, 2442, 563, 763, 12395, 2674, 772, 345, 684, 344, 599, 5055, 21696, 568, 513, 9742, 540, 25836, 9640, 5065, 547, 519, 24272, 30510, 269, 634, 9742, 729, 2919, 538, 11894, 1282, 519, 4571, 268, 866, 628, 2540, 267, 543, 568, 835, 540, 519, 1614, 1292, 2516, 540, 9640, 5065, 547, 519, 2197, 269, 901, 9742, 568, 1031, 585, 2489, 14964, 5301, 269, 634, 9640, 616, 3500, 3802, 619, 855, 666, 3382, 1279, 9883, 269, 4256, 7953, 616, 1279, 543, 741, 18057, 568, 2182, 543, 5394, 269, 1452, 9640, 1796, 1063, 476, 1691, 269, 272, 543, 476, 1428, 269, 272, 3946, 563, 763, 3148, 568, 4092, 1063, 476, 5611, 271, 543, 476, 1220, 271, 7397, 1657, 4262, 1377, 267, 543, 621, 568, 851, 540, 519, 6418, 5101, 570, 19653, 16784, 7823, 1062, 269, 898, 13315, 519, 5580, 1530, 344, 7315, 5757, 16935, 543, 519, 30716, 545, 15142, 538, 519, 22583, 540, 26277, 16288, 269, 898, 11498, 936, 513, 476, 1911, 10275, 332, 29415, 267, 543, 814, 513, 7823, 2039, 540, 909, 547, 476, 2004, 12919, 2647, 269, 634, 3148, 568, 6093, 540, 6418, 26277, 16288, 267, 609, 27726, 7823, 14099, 543, 15417, 23617, 563, 763, 5695, 1260, 534, 7504, 779, 1686, 568, 2370, 1634, 3544, 540, 11894, 269, 23225, 1004, 917, 827, 519, 1686, 540, 713, 3504, 9742, 267, 543, 972, 568, 15991, 1022, 12319, 547, 1489, 713, 3409, 269, 634, 1152, 1259, 547, 917, 811, 827, 713, 3504, 9742, 568, 547, 1224, 513, 1686, 1433, 269, 15349, 9640, 941, 1031, 585, 1082, 5301, 267, 1519, 10617, 543, 10122, 269, 589, 7504, 666, 4196, 607, 513, 3391, 267, 607, 621, 666, 581, 678, 5200, 9170, 563, 763, 772, 345, 684, 344, 599, 5055, 21696, 568, 513, 25836, 15349, 7504, 9742, 602, 7960, 538, 519, 4571, 268, 866, 628, 2540, 269, 898, 568, 1644, 547, 519, 28763, 731, 320, 7504, 543, 568, 2808, 835, 540, 519, 1614, 1292, 5065, 7504, 14981, 540, 11894, 269, 1452, 9640, 616, 3500, 3802, 619, 267, 855, 723, 606, 5140, 7086, 641, 269, 1358, 616, 711, 2048, 19207, 7079, 685, 3802, 619, 267, 799, 568, 606, 3504, 2245, 540, 713, 9742, 563, 763, 772, 345, 684, 344, 599, 5055, 21696, 568, 849, 1634, 607, 31762, 7719, 7284, 541, 267, 543, 568, 513, 682, 1407, 521, 11253, 7504, 269, 901, 9742, 12090, 1282, 519, 476, 4350, 271, 338, 267, 538, 968, 338, 836, 826, 533, 1755, 892, 630, 335, 675, 264, 9960, 267, 689, 513, 3444, 1063, 606, 26277, 565, 1014, 543, 6348, 3780, 7504, 14981, 269, 901, 9742, 568, 1634, 585, 922, 6264, 525, 7523, 641, 14397, 2470, 543, 568, 5065, 547, 519, 4872, 540, 590, 643, 553, 543, 918, 904, 21105, 563, 12867, 723, 4767, 602, 519, 772, 345, 684, 344, 599, 5055, 21696, 814, 1279, 7953, 543, 513, 2110, 1394, 269, 634, 9742, 729, 2919, 547, 581, 513, 11684, 7504, 602, 1223, 3082, 547, 1022, 1604, 269, 2368, 12395, 2674, 9640, 723, 4130, 11876, 7174, 982, 26768, 9640, 269, 5637, 14981, 941, 26870, 538, 519, 2848, 653, 525, 540, 6239, 5607, 267, 513, 3819, 1604, 609, 21432, 5070, 543, 13888, 10664, 269, 634, 26768, 7504, 729, 26870, 585, 3432, 267, 543, 729, 513, 2442, 9742, 2429, 519, 6239, 7489, 11782, 269, 0, 1432, 568, 3284, 328, 476, 1321, 289, 888, 763, 16286, 268, 1321, 289, 10410, 2305, 585, 4859, 540, 2504, 15559, 729, 2966, 547, 1683, 519, 3282, 2504, 2872, 609, 2922, 543, 22237, 10240, 1540, 13688, 585, 946, 538, 519, 4859, 540, 19020, 19386, 543, 824, 15559, 4122, 17411, 543, 6740, 676, 519, 2504, 10126, 563, 1432, 568, 519, 16286, 585, 13688, 888, 763, 1977, 8891, 15950, 4659, 630, 4338, 296, 264, 5036, 519, 3044, 602, 814, 1044, 11280, 676, 519, 2229, 547, 10038, 519, 4441, 585, 3282, 7382, 4859, 269, 16286, 568, 3743, 585, 8159, 875, 519, 7382, 568, 2966, 267, 519, 21753, 267, 4070, 11320, 601, 3429, 540, 519, 7382, 267, 1141, 621, 568, 5116, 267, 14791, 267, 3092, 563, 1432, 568, 16286, 476, 1321, 293, 7382, 888, 10048, 3011, 3293, 16286, 476, 1321, 293, 13813, 19554, 570, 3471, 616, 2966, 543, 2813, 829, 6075, 16551, 269, 589, 476, 1321, 293, 7382, 568, 513, 7143, 4765, 3613, 324, 601, 6077, 2966, 547, 4558, 1166, 30100, 543, 12318, 1043, 15559, 269, 1452, 13688, 616, 9112, 547, 4558, 19020, 19386, 543, 824, 15559, 4122, 6740, 538, 519, 1576, 540, 3282, 2504, 563, 1432, 568, 606, 16286, 476, 20981, 7382, 888, 4338, 296, 476, 20981, 26432, 6366, 1532, 2714, 15701, 13688, 634, 16286, 476, 20981, 568, 519, 1977, 3044, 585, 7143, 4765, 6366, 1532, 2714, 15701, 7299, 4859, 13688, 269, 634, 16286, 476, 20981, 568, 4922, 1031, 585, 13688, 2966, 547, 16641, 1970, 4835, 12503, 267, 585, 519, 4859, 540, 6093, 2472, 971, 607, 19020, 3282, 267, 4620, 1503, 267, 6464, 543, 1216, 563, 1432, 568, 3284, 328, 30663, 888, 4338, 296, 476, 30663, 267, 5071, 543, 14716, 540, 14066, 267, 21969, 4765, 267, 8899, 6261, 21913, 19554, 570, 3471, 267, 568, 513, 3044, 2919, 543, 3370, 676, 519, 1977, 8891, 15950, 4659, 602, 3947, 4170, 585, 519, 1374, 543, 4070, 540, 1804, 267, 7143, 4765, 4859, 13688, 609, 12503, 538, 741, 3154, 610, 11517, 5624, 540, 711, 811, 982, 476, 1428, 561, 8578, 30032, 563, 1692, 798, 594, 1205, 606, 16286, 13995, 888, 4338, 296, 27872, 15789, 13335, 27872, 6713, 2433, 476, 272, 269, 20871, 7311, 585, 24416, 896, 519, 16286, 3933, 6945, 5358, 1590, 1020, 543, 2226, 2298, 8261, 338, 602, 4766, 741, 2298, 2359, 1062, 543, 875, 621, 598, 13257, 547, 519, 4170, 540, 16286, 10410, 1627, 272, 563, 1432, 568, 519, 3017, 1063, 16286, 476, 20981, 1299, 476, 30663, 888, 4338, 296, 476, 30663, 21560, 519, 1374, 543, 5478, 540, 1804, 5374, 1970, 25774, 4859, 13688, 267, 2356, 3677, 982, 476, 4968, 3952, 538, 8006, 269, 1635, 4334, 267, 16286, 9208, 476, 20981, 568, 3335, 1031, 585, 3327, 267, 16243, 5374, 543, 26459, 13688, 4092, 538, 23525, 267, 1201, 514, 7685, 267, 27983, 543, 824, 1184, 6703, 563, 1432, 568, 519, 3017, 1063, 16286, 476, 30663, 543, 16286, 476, 20981, 888, 1692, 2462, 568, 606, 16286, 476, 1321, 289, 4859, 7382, 888, 4338, 296, 476, 1321, 289, 21753, 7960, 689, 519, 3282, 15429, 2344, 538, 519, 2038, 476, 5002, 271, 779, 269, 901, 3044, 729, 2919, 585, 513, 10240, 1540, 6366, 5377, 7382, 602, 1131, 4558, 19020, 3282, 269, 634, 7382, 7306, 941, 1507, 630, 349, 476, 1911, 547, 476, 1015, 267, 1822, 29054, 538, 2450, 264, 543, 941, 25855, 547, 519, 2361, 547, 581, 25517, 676, 3282, 2361, 4600, 563, 1432, 568, 519, 16286, 476, 1321, 289, 1395, 6945, 12689, 1297, 888, 290, 4306, 779, 16286, 476, 1321, 5174, 3933, 6945, 17821, 7089, 568, 476, 1321, 289, 268, 1822, 275, 585, 938, 29807, 976, 267, 23794, 9744, 269, 595, 4306, 729, 519, 1101, 14468, 16286, 268, 1321, 289, 3933, 6945, 4364, 7382, 10672, 538, 519, 1158, 563, 1432, 616, 519, 16551, 585, 10240, 1540, 5374, 7382, 888, 2171, 616, 835, 540, 519, 1152, 9755, 547, 2709, 1312, 16403, 539, 543, 6366, 1790, 534, 601, 1374, 10240, 1540, 13688, 269, 932, 574, 539, 281, 3776, 16403, 539, 10240, 1540, 5374, 13688, 616, 2966, 547, 2743, 1312, 519, 16286, 476, 1321, 289, 20487, 543, 32217, 23354, 667, 9818, 268, 6021, 3044, 543, 723, 12236, 22085, 293, 476, 8618, 270, 4391, 273, 27872, 563, 8005, 568, 519, 1977, 26653, 7577, 267, 5549, 888, 23086, 1977, 26653, 7577, 267, 5549, 269, 585, 707, 1494, 762, 1216, 4859, 7382, 2115, 269, 634, 2630, 476, 4343, 12664, 1535, 476, 3953, 12664, 476, 27543, 267, 1822, 20645, 10240, 1540, 7382, 729, 2966, 267, 29959, 267, 22862, 543, 8704, 538, 10220, 609, 32217, 23354, 667, 9818, 268, 6021, 269, 1977, 26653, 7577, 267, 5549, 269, 568, 513, 1920, 11262, 1299, 13234, 1870, 3323, 538, 476, 2735, 278, 1299, 4867, 13333, 896, 513, 654, 23813, 4567, 269, 0, 1103, 5010, 5054, 267, 513, 1684, 528, 568, 513, 4052, 3070, 547, 2759, 1648, 24723, 269, 1452, 9885, 616, 2966, 547, 1683, 5140, 13471, 267, 7303, 3002, 2530, 610, 2744, 543, 5355, 2949, 1648, 4398, 269, 1635, 5329, 11255, 5210, 7123, 267, 16945, 9505, 614, 9885, 666, 3648, 2569, 519, 2179, 540, 1648, 2877, 547, 2226, 513, 6899, 2324, 1604, 563, 5194, 1259, 789, 666, 948, 2569, 1648, 3790, 568, 676, 3850, 2067, 1769, 883, 519, 2679, 269, 7849, 8654, 6971, 519, 991, 585, 5841, 8654, 267, 799, 666, 3648, 2569, 1648, 3790, 269, 1358, 666, 581, 2688, 2213, 547, 1331, 9486, 610, 824, 12001, 2326, 547, 1450, 2067, 1769, 538, 563, 14454, 267, 10115, 538, 891, 1648, 18026, 9885, 666, 1291, 547, 1713, 9806, 593, 1648, 3790, 269, 2755, 519, 3355, 1942, 540, 16459, 891, 9885, 949, 581, 2362, 982, 2757, 9885, 267, 519, 1279, 3856, 9806, 593, 1648, 3790, 666, 1118, 873, 513, 1942, 15807, 3903, 585, 4213, 563, 8139, 519, 6184, 6819, 16544, 454, 3080, 540, 519, 1883, 2640, 540, 11633, 17029, 2401, 1744, 13616, 1684, 528, 568, 741, 32229, 3601, 269, 1452, 9885, 616, 2966, 547, 1683, 5140, 13471, 267, 799, 666, 948, 2569, 1648, 3790, 543, 2087, 2949, 1648, 4398, 563, 763, 13471, 3601, 540, 16945, 9885, 2097, 689, 519, 2326, 1031, 538, 741, 4070, 269, 1452, 9885, 616, 3335, 1500, 689, 5374, 610, 26459, 267, 799, 616, 5140, 1202, 22399, 269, 1358, 849, 4183, 513, 4494, 540, 13471, 1570, 267, 971, 607, 17371, 610, 4017, 1120, 20199, 267, 799, 2417, 10607, 741, 32229, 3601, 563, 2710, 832, 538, 5507, 2709, 1390, 13471, 3601, 267, 7303, 3002, 2530, 610, 2744, 543, 16715, 1648, 3790, 269, 6184, 1637, 849, 11689, 3278, 11255, 5210, 267, 5355, 2949, 2679, 4313, 563, 763, 11957, 540, 16661, 22367, 6137, 585, 6052, 21252, 454, 2171, 1430, 560, 686, 6137, 568, 606, 1898, 5057, 540, 16945, 9885, 685, 1648, 4398, 269, 898, 2337, 547, 2087, 1648, 4398, 676, 7303, 31585, 543, 2011, 20984, 267, 799, 666, 2014, 3002, 2530, 610, 2744, 269, 1635, 27575, 519, 10616, 1063, 519, 7450, 543, 519, 7406, 267, 4365, 4174, 6137, 2337, 547, 1832, 11255, 5210, 7123, 267, 4227, 519, 2179, 540, 1648, 2877, 547, 2226, 513, 6899, 2324, 1604, 563, 2691, 7446, 513, 16945, 7450, 3028, 267, 621, 568, 1271, 547, 2824, 9885, 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 ]
[ 1453, 1650, 1644, 547, 519, 1349, 1657, 267, 2519, 593, 834, 2793, 307, 13543, 1315, 16819, 342, 10248, 20929, 2580, 6098, 693, 476, 276, 4458, 6040, 1453, 609, 4642, 1702, 540, 519, 1158, 543, 1480, 4205, 269, 8528, 763, 1650, 1058, 946, 2241, 2474, 267, 543, 8499, 2491, 1360, 2596, 1344, 827, 2168, 543, 1480, 4205, 269, 2422, 2653, 3562, 17000, 1806, 543, 6451, 2055, 513, 476, 276, 4458, 6040, 1223, 723, 2059, 609, 741, 4267, 269, 3550, 602, 519, 1650, 6227, 4948, 3527, 543, 519, 946, 540, 1455, 3615, 269, 0, 4495, 2390, 513, 942, 267, 538, 513, 1507, 4884, 1572, 12098, 326, 2884, 1144, 267, 3025, 6068, 4189, 5613, 543, 5388, 269, 1358, 5156, 602, 2371, 941, 9589, 1317, 789, 1223, 1118, 1648, 689, 7943, 998, 15591, 269, 2290, 1554, 267, 1945, 9490, 5949, 910, 811, 543, 811, 1004, 3323, 7446, 2030, 2861, 3536, 936, 3662, 2472, 2439, 1607, 1007, 7678, 1500, 10787, 1067, 5682, 1360, 6126, 1317, 646, 8057, 782, 12204, 540, 8949, 5613, 543, 19787, 269, 3571, 3484, 2968, 865, 2442, 602, 824, 6705, 4941, 547, 1451, 875, 547, 1332, 2371, 1932, 269, 17652, 267, 972, 941, 1082, 11396, 1472, 12098, 326, 2884, 1144, 3246, 17705, 2030, 2861, 6980, 585, 3025, 780, 2026, 519, 8560, 540, 2030, 2861, 11326, 8057, 267, 2199, 15945, 543, 14060, 3459, 547, 1689, 741, 27487, 269, 4634, 6004, 269, 29133, 4252, 267, 945, 11262, 519, 1034, 4583, 5779, 6300, 538, 4884, 267, 4956, 547, 2709, 2030, 2861, 8925, 899, 10448, 11084, 543, 21378, 559, 3276, 7970, 256, 3767, 267, 1256, 1346, 945, 14201, 1405, 4628, 8149, 547, 513, 2030, 2861, 2732, 1185, 7899, 540, 3681, 780, 3080, 6397, 12343, 729, 602, 2831, 899, 16933, 543, 17944, 14406, 2348, 8436, 693, 519, 3484, 269, 1809, 519, 7264, 540, 12098, 326, 2884, 1144, 7691, 602, 676, 10438, 7864, 3662, 2472, 267, 789, 1223, 948, 2149, 891, 2831, 262, 9249, 543, 2569, 5533, 269, 1358, 4362, 602, 12391, 585, 938, 4541, 1419, 5921, 1818, 5079, 602, 1522, 1745, 2352, 693, 1101, 855, 6038, 28322, 3025, 3238, 780, 1103, 519, 1439, 267, 519, 6521, 2509, 2030, 2861, 11326, 4547, 519, 2146, 6251, 1927, 1247, 3450, 873, 3407, 4245, 827, 2257, 267, 6484, 267, 543, 2825, 19642, 269, 1656, 1498, 930, 2831, 7620, 5433, 24949, 267, 789, 5555, 1336, 4708, 6616, 602, 3425, 941, 1565, 547, 2661, 32069, 7258, 2470, 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, 814, 519, 4473, 540, 2030, 2861, 11326, 4299, 519, 1426, 2872, 543, 7082, 3466, 888, 763, 4473, 540, 2030, 2861, 11326, 814, 1185, 513, 1713, 1764, 593, 519, 1426, 2872, 543, 7082, 3466, 269, 7233, 2861, 11326, 723, 1831, 5051, 2442, 607, 811, 1004, 616, 12561, 513, 8902, 6197, 267, 4227, 5779, 4616, 267, 543, 1373, 13476, 6857, 269, 3371, 616, 930, 540, 519, 2081, 602, 2030, 2861, 11326, 723, 4299, 519, 1426, 2872, 543, 7082, 3466, 1384, 272, 269, 16842, 3747, 585, 2030, 2861, 2472, 281, 1306, 811, 1004, 616, 12561, 2030, 2861, 11326, 267, 972, 568, 513, 3395, 3747, 585, 2030, 2861, 2472, 269, 901, 814, 3366, 547, 606, 2333, 538, 519, 8244, 540, 2030, 2861, 2472, 538, 17365, 8637, 267, 14060, 267, 543, 22538, 525, 780, 273, 269, 14119, 566, 540, 2030, 2861, 3681, 281, 14992, 543, 14060, 602, 12926, 5059, 593, 3662, 2861, 2472, 616, 1631, 5356, 2030, 2861, 3681, 269, 901, 7678, 814, 1500, 621, 4443, 585, 1004, 547, 9772, 2030, 2861, 11326, 543, 814, 2799, 519, 3099, 540, 2030, 2861, 2472, 1285, 2967, 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, 8080, 547, 938, 5767, 543, 3579, 652, 1888, 538, 2029, 256, 5620, 596, 2479, 4862, 827, 2780, 5121, 286, 4270, 267, 2221, 649, 616, 2469, 547, 4685, 883, 1945, 1256, 811, 4241, 910, 12229, 4347, 1441, 32730, 630, 16256, 301, 264, 543, 7046, 23044, 256, 5213, 1405, 5855, 952, 891, 2474, 3280, 7294, 282, 676, 519, 1439, 540, 713, 3296, 267, 789, 786, 1831, 707, 1007, 1655, 2828, 2439, 5331, 2348, 513, 9589, 1907, 7901, 602, 13071, 596, 1852, 875, 1239, 12599, 998, 5904, 267, 14342, 267, 543, 16389, 607, 952, 596, 941, 10647, 513, 1623, 21620, 269, 2334, 781, 1018, 12676, 301, 1281, 256, 898, 2636, 3060, 16984, 547, 4383, 6808, 1063, 3457, 811, 7561, 982, 2479, 1354, 269, 1656, 7058, 1018, 2306, 621, 2009, 286, 7046, 23044, 1107, 513, 2027, 1893, 602, 2337, 519, 1907, 7901, 1174, 1141, 547, 6494, 1344, 780, 3086, 267, 1577, 781, 2736, 1524, 930, 1883, 2474, 1210, 1483, 3734, 7653, 1384, 272, 269, 2878, 15187, 1740, 5093, 6056, 540, 621, 899, 513, 2749, 609, 10754, 543, 28963, 269, 3807, 607, 6517, 2951, 2059, 9897, 267, 1239, 7575, 1063, 3457, 4448, 1369, 513, 3060, 563, 273, 269, 2878, 10574, 21168, 5093, 1452, 616, 6263, 4773, 540, 1344, 10707, 2066, 519, 3060, 267, 2147, 547, 5022, 1373, 9447, 676, 13875, 19057, 269, 3962, 4484, 814, 606, 2232, 865, 621, 10301, 922, 10278, 7157, 269, 6684, 267, 1142, 17142, 3568, 3877, 827, 1141, 621, 2501, 689, 543, 1141, 621, 781, 2469, 563, 274, 269, 2878, 16256, 301, 17120, 5093, 901, 568, 938, 9589, 1907, 7901, 256, 898, 6411, 899, 513, 6808, 8689, 693, 513, 11112, 10167, 267, 13057, 1239, 21168, 1759, 593, 1808, 3652, 1305, 909, 676, 3060, 8098, 1231, 563, 275, 269, 2878, 15411, 23044, 5093, 3776, 5728, 1232, 18344, 8258, 256, 898, 6087, 2792, 1063, 519, 17120, 543, 13033, 3937, 267, 4180, 3025, 14753, 519, 1482, 1893, 950, 4758, 8846, 780, 3383, 1946, 798, 649, 991, 782, 713, 9059, 286, 5994, 3843, 547, 5397, 689, 1715, 3840, 547, 11968, 13353, 1247, 1152, 1739, 5528, 2016, 835, 3625, 693, 513, 942, 269, 16319, 7543, 267, 1318, 286, 1809, 602, 781, 4010, 1018, 2757, 5121, 1031, 547, 798, 256, 2060, 12676, 301, 543, 7046, 23044, 267, 649, 1711, 21273, 11507, 585, 938, 834, 11907, 6517, 2437, 1818, 2386, 789, 1205, 1141, 789, 991, 547, 979, 3533, 543, 7561, 780, 3719, 7227, 267, 972, 781, 811, 256, 1677, 1832, 1919, 4023, 543, 1187, 267, 4952, 3006, 6998, 1978, 6517, 547, 1491, 3476, 10092, 610, 3500, 1524, 1282, 19060, 5662, 269, 1284, 1616, 782, 1239, 21168, 547, 12446, 9108, 267, 7488, 540, 741, 2450, 610, 2956, 269, 901, 1523, 568, 1572, 10866, 540, 6796, 630, 304, 24382, 1070, 543, 621, 781, 1776, 2629, 851, 540, 12676, 301, 780, 4131, 781, 973, 777, 1384, 265, 12676, 301, 568, 899, 513, 9589, 1907, 7901, 9013, 875, 1239, 12599, 998, 5121, 563, 265, 7046, 23044, 5713, 607, 938, 5728, 1232, 18344, 8258, 267, 3850, 5347, 2792, 1851, 3457, 563, 265, 1627, 24382, 5849, 3160, 3255, 585, 1169, 4062, 540, 1239, 267, 7303, 1022, 2582, 17142, 689, 554, 690, 3101, 519, 4155, 780, 1103, 519, 1985, 3184, 267, 649, 3513, 2263, 875, 891, 5863, 4066, 948, 1921, 1004, 1472, 519, 1158, 543, 5512, 9118, 2228, 2238, 269, 13773, 22934, 585, 811, 10509, 9035, 256, 0, 2080, 568, 606, 1349, 689, 513, 2546, 912, 257, 21837, 23297, 519, 5207, 4389, 543, 1034, 8739, 1606, 6312, 658, 4647, 7470, 538, 519, 717, 10064, 274, 9142, 281, 12676, 301, 543, 7046, 23044, 4985, 269, 6424, 781, 4647, 7470, 13087, 6552, 31627, 2694, 543, 19545, 1589, 5833, 3254, 5449, 5411, 269, 631, 6195, 8707, 25824, 2209, 540, 3270, 899, 596, 723, 1010, 4872, 543, 4647, 7470, 13087, 6552, 593, 513, 521, 5403, 269, 6424, 568, 16761, 936, 476, 736, 2923, 585, 24605, 799, 7662, 5249, 1134, 269, 1703, 1412, 557, 6038, 10299, 1114, 3156, 585, 922, 4647, 7470, 13087, 6552, 538, 1164, 2628, 269, 769, 1614, 6323, 267, 519, 4647, 7470, 13087, 568, 602, 713, 27350, 666, 581, 7150, 538, 23380, 946, 896, 1079, 2011, 1889, 2559, 1242, 9270, 3695, 547, 519, 27805, 540, 513, 11422, 281, 519, 7061, 540, 4642, 4232, 832, 263, 4967, 264, 543, 2034, 2035, 263, 2418, 1040, 769, 713, 4647, 7470, 13087, 267, 519, 2985, 568, 513, 476, 276, 260, 321, 1180, 4985, 540, 519, 22653, 1881, 13169, 543, 519, 1604, 5288, 26128, 6808, 269, 769, 713, 4647, 7470, 13087, 649, 786, 623, 4041, 17955, 602, 649, 666, 2845, 20125, 16803, 1014, 670, 10499, 538, 513, 1224, 1292, 1880, 3193, 538, 22051, 6299, 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 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 19244, 713, 1184, 1896, 2053, 267, 2519, 1152, 593, 707, 7362, 780, 5475, 11264, 891, 5751, 267, 2671, 707, 2833, 609, 513, 7649, 610, 1895, 269, 9894, 596, 5469, 1022, 2242, 538, 707, 7099, 610, 2702, 547, 13404, 286, 5457, 267, 8026, 13533, 7244, 666, 948, 721, 6330, 2352, 3871, 543, 2132, 547, 513, 1533, 540, 9350, 1145, 780, 1103, 10390, 2483, 3528, 1739, 7665, 781, 3460, 4724, 11009, 267, 649, 4126, 596, 4312, 6591, 3407, 4030, 883, 519, 1379, 540, 2713, 538, 519, 1459, 4090, 269, 5664, 1153, 568, 606, 5140, 942, 547, 1376, 3384, 891, 1983, 267, 799, 666, 4324, 1082, 2127, 540, 707, 1272, 1312, 1631, 543, 538, 519, 2104, 269, 1924, 979, 6619, 267, 9784, 707, 6418, 30065, 2915, 267, 543, 7832, 593, 707, 1360, 1378, 7045, 538, 11009, 256, 0, 2080, 568, 606, 1349, 689, 513, 2546, 281, 834, 13563, 23397, 626, 267, 6348, 6363, 2109, 27752, 267, 7025, 2920, 22999, 543, 31835, 268, 26047, 267, 3213, 6363, 10133, 540, 634, 8303, 5623, 267, 476, 274, 6066, 2817, 3883, 13815, 12736, 1676, 454, 10454, 3483, 540, 9066, 2259, 568, 711, 21481, 282, 621, 568, 547, 2628, 3007, 1256, 693, 796, 268, 2169, 571, 867, 2435, 2053, 267, 547, 581, 540, 519, 1459, 267, 4986, 1532, 583, 7308, 1790, 6974, 267, 547, 7703, 713, 11009, 540, 1631, 883, 1142, 1256, 540, 8723, 1272, 4799, 257, 2691, 649, 616, 544, 1600, 538, 519, 3448, 1158, 267, 2760, 17666, 938, 22401, 547, 519, 9814, 267, 938, 1272, 568, 25224, 539, 267, 18106, 282, 649, 616, 4904, 609, 1032, 940, 585, 602, 27032, 602, 568, 4503, 950, 267, 607, 1762, 1453, 267, 649, 5372, 621, 609, 1913, 543, 2093, 543, 7493, 687, 910, 971, 607, 20519, 267, 971, 607, 2250, 267, 1459, 267, 543, 2104, 910, 938, 1463, 267, 21245, 1995, 540, 519, 3364, 3294, 267, 538, 519, 5898, 543, 8856, 540, 713, 1459, 4090, 4799, 28494, 3019, 519, 1126, 779, 2312, 3750, 568, 6531, 539, 936, 676, 2093, 543, 8369, 267, 26608, 8526, 267, 543, 7493, 687, 269, 11822, 1863, 1373, 3587, 1958, 27434, 609, 519, 24675, 727, 24915, 540, 519, 24178, 269, 3502, 2394, 1296, 2663, 1281, 606, 15859, 2097, 18222, 8620, 606, 2502, 543, 3015, 1576, 1770, 538, 513, 1837, 585, 1647, 1153, 1053, 1644, 547, 519, 1349, 1657, 267, 2519, 593, 23515, 16337, 1315, 12292, 1315, 17268, 1315, 23452, 610, 853, 2001, 17268, 269, 898, 1058, 581, 3358, 585, 1647, 1153, 1053, 1510, 1991, 1702, 593, 519, 1888, 780, 2521, 547, 1384, 268, 3629, 2143, 3137, 267, 2057, 2930, 3822, 267, 543, 1459, 519, 2093, 538, 513, 3551, 267, 2239, 3159, 563, 268, 3417, 1806, 547, 1118, 519, 1641, 3839, 543, 3078, 585, 1762, 1647, 1153, 1053, 269, 3097, 268, 1684, 711, 2446, 519, 1357, 1349, 538, 519, 1837, 543, 798, 711, 1331, 513, 2140, 610, 2606, 2453, 267, 596, 1058, 2328, 519, 1543, 2047, 269, 0, 589, 1906, 1296, 1394, 267, 594, 1336, 8885, 2620, 1524, 519, 15529, 8559, 540, 6138, 267, 4481, 3478, 4503, 538, 519, 6946, 2093, 4843, 538, 1955, 28609, 23006, 781, 834, 290, 761, 1664, 540, 26192, 17217, 1701, 1306, 606, 28048, 21689, 540, 4686, 2835, 543, 24064, 2643, 5638, 267, 594, 16686, 2390, 606, 3312, 5299, 540, 519, 1101, 7160, 693, 513, 7452, 344, 2025, 25447, 6300, 512, 26786, 2476, 538, 519, 7944, 540, 1250, 2749, 269, 898, 7012, 1405, 1279, 1354, 594, 2968, 1266, 1484, 539, 538, 922, 3817, 267, 12394, 547, 21264, 519, 1950, 2035, 9788, 856, 1369, 873, 780, 3080, 1554, 267, 1247, 7234, 23006, 781, 960, 1282, 513, 11018, 540, 8284, 12439, 689, 678, 270, 298, 656, 267, 938, 6643, 3576, 513, 15116, 2490, 2509, 1010, 4583, 11984, 1063, 25107, 543, 10991, 21520, 269, 2290, 4759, 844, 5792, 267, 834, 2252, 1152, 649, 1223, 4019, 891, 21441, 547, 4948, 7391, 256, 5994, 10213, 707, 3659, 741, 24983, 827, 1412, 320, 2947, 6122, 13949, 2915, 262, 3884, 1405, 1175, 7301, 855, 2965, 4852, 24312, 865, 10590, 1284, 782, 669, 3089, 1194, 917, 5944, 267, 19825, 519, 21494, 640, 540, 971, 513, 2219, 780, 2026, 942, 5293, 267, 2705, 267, 594, 3459, 11842, 952, 6220, 930, 540, 23006, 781, 10952, 5943, 1522, 948, 803, 1732, 1174, 1004, 1472, 803, 1107, 1256, 1875, 14428, 3342, 14279, 945, 4769, 1405, 2671, 1250, 13395, 1719, 269, 1924, 267, 11439, 609, 16012, 15131, 267, 594, 4956, 547, 1449, 2436, 7311, 23006, 1014, 3741, 1131, 1291, 547, 811, 6209, 4296, 610, 1711, 11991, 10539, 780, 296, 3323, 1507, 267, 9900, 15738, 856, 25107, 8957, 10991, 6811, 538, 13680, 7391, 269, 1677, 1250, 9983, 267, 3079, 540, 25884, 10145, 588, 4100, 610, 20714, 766, 267, 2828, 15874, 2348, 741, 4555, 13934, 543, 15568, 998, 713, 7828, 269, 1358, 1404, 2685, 7722, 609, 519, 1523, 267, 799, 3366, 721, 547, 2263, 1585, 3584, 2417, 982, 2479, 1354, 780, 10190, 3357, 519, 6397, 4729, 6335, 269, 4438, 513, 7874, 7521, 936, 6995, 267, 594, 13986, 547, 30387, 513, 3409, 607, 2901, 25107, 610, 10991, 269, 3733, 954, 32643, 12460, 1490, 626, 1194, 267, 1202, 12371, 602, 1200, 3948, 7948, 1405, 581, 4389, 547, 6071, 23066, 2079, 269, 3776, 1769, 27329, 7333, 614, 10393, 5828, 13029, 267, 6028, 1312, 6105, 3144, 705, 871, 780, 1103, 24794, 1051, 267, 594, 7691, 602, 1210, 4081, 3822, 1185, 2813, 513, 11064, 2864, 982, 5807, 1930, 5188, 269, 769, 1250, 1391, 585, 4514, 1620, 267, 594, 15763, 875, 9813, 908, 2930, 1893, 1223, 1745, 547, 1866, 269, 2755, 23006, 781, 21441, 941, 17216, 3407, 2645, 585, 6313, 519, 2470, 540, 1480, 1702, 267, 789, 14201, 1405, 2141, 5078, 585, 13680, 11407, 780, 8269, 22162, 593, 713, 1995, 6026, 803, 513, 2629, 3992, 827, 2792, 3564, 24243, 269, 4014, 3695, 1965, 582, 20143, 2035, 1223, 10802, 4205, 267, 11495, 513, 3666, 1063, 3178, 543, 10333, 7283, 1898, 269, 2991, 782, 267, 1018, 1434, 616, 7096, 4030, 952, 1100, 835, 3116, 666, 6443, 596, 538, 14719, 908, 873, 2496, 7712, 1287, 267, 594, 723, 14059, 7391, 609, 17105, 25525, 267, 8508, 519, 4316, 547, 1451, 689, 3309, 5380, 1510, 13461, 9003, 593, 7463, 2165, 514, 3098, 269, 1656, 8164, 2009, 267, 594, 16436, 1866, 547, 7832, 593, 7214, 15322, 7258, 803, 1765, 3286, 607, 9118, 23749, 3755, 798, 950, 4687, 741, 7279, 543, 7326, 2066, 5318, 3059, 20073, 525, 269, 1280, 3101, 4296, 12082, 538, 8994, 2463, 543, 9758, 6278, 814, 8810, 2484, 811, 14785, 982, 1022, 2582, 7811, 11802, 2479, 1223, 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, 22081, 1705, 1955, 28609, 23006, 781, 7600, 1664, 540, 26192, 17217, 22499, 26381, 1108, 888, 3412, 28609, 23006, 781, 7600, 1664, 540, 26192, 17217, 568, 2808, 835, 540, 519, 1034, 9565, 1568, 538, 2413, 26381, 1108, 269, 634, 3119, 1445, 540, 519, 1433, 568, 547, 4983, 519, 9165, 543, 7687, 540, 1480, 1702, 267, 3226, 538, 519, 2361, 540, 21042, 12695, 269, 23006, 781, 16472, 19117, 26381, 1108, 538, 1896, 2081, 267, 1519, 1384, 272, 269, 5940, 8012, 1063, 25107, 543, 10991, 21520, 281, 23006, 11130, 602, 972, 616, 1079, 3982, 2010, 540, 21520, 602, 1106, 519, 4493, 540, 1480, 1702, 281, 25107, 543, 10991, 269, 8890, 6776, 21520, 616, 1346, 4171, 5168, 666, 581, 5462, 3274, 676, 7421, 519, 2495, 540, 519, 2474, 3238, 630, 324, 3052, 1421, 834, 5472, 536, 659, 3559, 832, 616, 796, 3405, 3072, 20257, 16522, 4854, 21520, 267, 593, 519, 824, 1688, 267, 616, 1346, 4171, 5168, 3112, 581, 5462, 3274, 676, 7421, 519, 2495, 540, 519, 2474, 3238, 630, 324, 3052, 1421, 834, 763, 3032, 568, 3109, 20257, 901, 11984, 729, 1271, 1317, 621, 5280, 547, 12172, 519, 7182, 540, 1480, 1702, 543, 547, 2061, 1476, 340, 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, 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, 8080, 547, 519, 4241, 1158, 540, 29712, 3941, 256, 715, 14670, 3941, 616, 6263, 17494, 602, 666, 581, 1336, 3592, 10876, 267, 689, 3037, 547, 1216, 267, 543, 1256, 3330, 824, 2713, 7103, 899, 2371, 543, 2831, 269, 1452, 7068, 949, 3100, 2241, 267, 855, 789, 1404, 513, 2462, 1909, 538, 4543, 3744, 1174, 1950, 1919, 827, 1272, 9443, 269, 4653, 267, 1577, 781, 4685, 883, 875, 29712, 3941, 948, 721, 1451, 827, 3676, 7133, 3425, 267, 971, 607, 25138, 582, 13116, 700, 8632, 590, 16235, 630, 28940, 6393, 5331, 596, 1616, 547, 1353, 513, 7294, 1480, 4576, 267, 855, 621, 781, 2352, 547, 7747, 922, 11144, 538, 1004, 1317, 621, 3217, 513, 1279, 942, 543, 1522, 2014, 2800, 269, 2334, 781, 1141, 2203, 7103, 2097, 538, 13561, 256, 7844, 7103, 616, 2249, 602, 2671, 1082, 6211, 10486, 609, 3425, 543, 666, 581, 1031, 547, 9108, 8495, 1114, 3344, 540, 1480, 1072, 543, 2068, 269, 2290, 971, 2203, 11248, 568, 513, 1826, 540, 29712, 1712, 1572, 6970, 523, 528, 4725, 323, 4345, 1605, 7540, 630, 290, 269, 1605, 7540, 6393, 3963, 946, 595, 269, 1605, 7540, 286, 4270, 267, 5103, 1373, 1152, 827, 476, 272, 1984, 9014, 1279, 267, 595, 269, 1605, 7540, 814, 1082, 7592, 602, 1118, 621, 3501, 585, 4974, 1312, 2596, 7350, 543, 811, 1950, 2175, 899, 14715, 4713, 269, 1358, 616, 12001, 267, 865, 3744, 666, 3362, 1294, 741, 4835, 3889, 282, 789, 16196, 3533, 267, 3850, 3173, 547, 7747, 2789, 5481, 1369, 2395, 282, 543, 789, 2671, 827, 3368, 540, 741, 6090, 609, 3425, 256, 901, 1797, 602, 4681, 1500, 538, 595, 269, 1605, 7540, 1419, 1683, 3407, 10881, 827, 1018, 4523, 538, 938, 1378, 4703, 780, 3086, 267, 1394, 547, 9338, 306, 1107, 713, 568, 513, 14042, 2068, 602, 5540, 8229, 2281, 9013, 6091, 267, 4929, 8467, 267, 26900, 267, 543, 5555, 3056, 547, 2669, 269, 10251, 267, 972, 3884, 1405, 2943, 513, 10826, 585, 9338, 306, 269, 1635, 1210, 595, 269, 1605, 7540, 607, 513, 2203, 1062, 267, 1498, 267, 3744, 4126, 547, 1732, 1174, 713, 12357, 2783, 543, 1265, 1007, 2081, 547, 8396, 621, 269, 12824, 1711, 2027, 12490, 540, 595, 269, 1605, 7540, 8876, 13592, 5532, 547, 9338, 306, 267, 799, 2337, 873, 2263, 875, 1346, 2242, 1291, 547, 2042, 538, 4887, 1852, 780, 4913, 267, 1175, 899, 1022, 1907, 267, 595, 269, 1605, 7540, 849, 2501, 609, 930, 7687, 269, 1280, 1383, 267, 2094, 789, 616, 1360, 2241, 7103, 3379, 547, 11864, 899, 8983, 610, 22171, 267, 1978, 3157, 9648, 1282, 9338, 306, 1522, 711, 4755, 4010, 519, 1482, 1259, 538, 595, 269, 1605, 7540, 269, 4475, 267, 3006, 3744, 991, 547, 12840, 1239, 5833, 689, 1896, 2203, 1949, 547, 4628, 9787, 519, 6988, 540, 1480, 3676, 780, 14454, 267, 29712, 3941, 899, 595, 269, 1605, 7540, 2709, 6909, 3255, 585, 1620, 1480, 3676, 693, 513, 7636, 1377, 269, 4634, 952, 789, 1810, 1405, 2141, 2285, 721, 782, 519, 4267, 267, 1142, 6602, 6770, 721, 835, 1900, 6251, 547, 6061, 2564, 13655, 899, 9338, 306, 269, 1656, 945, 6487, 1765, 821, 1554, 267, 891, 2370, 530, 3419, 326, 6840, 1522, 1256, 3565, 547, 4466, 513, 2126, 602, 17990, 2729, 256, 0, 2080, 568, 606, 1349, 689, 513, 2546, 912, 257, 26073, 1670, 4030, 689, 993, 344, 582, 13116, 14694, 26379, 3662, 3631, 281, 16198, 267, 7687, 267, 543, 2591, 454, 9558, 331, 1049, 11671, 19592, 523, 3130, 4320, 476, 1321, 267, 9137, 1297, 281, 476, 5379, 630, 1708, 274, 994, 1103, 1931, 547, 26819, 993, 344, 582, 13116, 14694, 26379, 630, 28940, 1070, 513, 1617, 3394, 545, 267, 12947, 716, 3645, 267, 543, 11636, 31895, 17654, 2068, 609, 26945, 4791, 14245, 267, 3173, 723, 6383, 3875, 3662, 3631, 547, 17932, 519, 4719, 12889, 269, 1230, 9690, 543, 13354, 2079, 540, 891, 1585, 3631, 2636, 8446, 540, 519, 3123, 543, 6127, 540, 9338, 306, 538, 1931, 547, 6368, 3489, 2500, 519, 31706, 269, 1717, 267, 1034, 16220, 9168, 887, 4823, 3631, 3668, 16765, 27690, 2934, 267, 25412, 2591, 543, 7687 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 307, 10455, 325, 532, 568, 519, 28583, 2329, 781, 7023, 547, 519, 5045, 267, 9967, 540, 1079, 17446, 540, 22163, 630, 821, 593, 519, 11782, 540, 1306, 5632, 517, 267, 1776, 593, 519, 11782, 540, 32202, 6242, 538, 519, 5045, 264, 607, 1134, 607, 606, 6532, 5832, 538, 519, 7256, 700, 990, 32221, 602, 24508, 873, 269, 3502, 607, 1134, 31465, 607, 519, 28583, 2329, 610, 631, 3120, 330, 9564, 267, 570, 10455, 325, 532, 814, 513, 4617, 2229, 543, 18633, 4346, 269, 9453, 2500, 1876, 11268, 267, 533, 16820, 543, 1159, 10212, 1782, 616, 3833, 1455, 269, 667, 3241, 532, 543, 824, 19831, 6575, 616, 3656, 267, 1455, 267, 543, 1419, 24037, 563, 1103, 19220, 540, 2413, 7047, 2762, 543, 519, 3148, 781, 7580, 2956, 267, 519, 570, 10455, 325, 532, 5246, 28396, 568, 14605, 13006, 267, 607, 519, 1379, 2497, 4749, 2242, 267, 543, 7654, 865, 1281, 519, 11585, 563, 268, 1772, 548, 540, 519, 1323, 857, 757, 454, 268, 1772, 548, 4406, 334, 454, 268, 634, 6641, 13240, 6816, 6828, 454, 268, 17781, 540, 7442, 3326, 517, 3780, 0, 1607, 1357, 14373, 786, 2285, 606, 7650, 540, 930, 540, 2238, 519, 14411, 12080, 540, 7849, 8249, 543, 32645, 630, 300, 24520, 293, 264, 11268, 5234, 723, 1044, 23072, 593, 606, 5993, 4493, 547, 948, 2061, 519, 4367, 543, 3262, 540, 12748, 12362, 2249, 1519, 5009, 4656, 540, 519, 3652, 543, 24422, 547, 6166, 2436, 519, 3652, 616, 1373, 740, 22363, 547, 269, 901, 1357, 14373, 786, 581, 4843, 676, 6601, 24229, 918, 14535, 580, 267, 28393, 1017, 2037, 7593, 28154, 585, 519, 631, 24520, 293, 563, 15430, 5034, 676, 6424, 667, 583, 330, 1171, 545, 345, 689, 519, 12833, 5297, 15661, 10418, 267, 713, 1357, 14373, 786, 1445, 593, 519, 1686, 540, 3864, 21859, 10043, 631, 1054, 543, 922, 7766, 12625, 883, 14411, 538, 519, 476, 2735, 271, 338, 269, 898, 786, 849, 1865, 519, 1699, 4299, 2127, 2429, 4516, 267, 543, 519, 2127, 1141, 14934, 10043, 26615, 814, 519, 1761, 547, 3262, 269, 14936, 267, 713, 1357, 14373, 786, 4983, 1655, 2359, 3681, 585, 14934, 10043, 26615, 543, 519, 3800, 2244, 14935, 666, 1491, 547, 948, 3500, 519, 3262, 543, 2149, 938, 7733, 563, 29378, 8693, 8416, 454, 763, 2818, 26209, 7087, 8693, 8416, 568, 606, 7317, 3760, 585, 2818, 547, 1921, 267, 2671, 2093, 543, 15407, 2200, 269, 634, 3060, 568, 4397, 547, 13166, 10131, 538, 519, 2887, 269, 7490, 3643, 519, 3896, 1419, 547, 1451, 811, 827, 713, 2228, 2146, 543, 922, 4013, 10131, 4266, 563, 763, 7087, 20458, 29878, 28022, 568, 513, 2189, 2228, 2146, 540, 7087, 2916, 1689, 3401, 602, 723, 2097, 1927, 547, 2671, 741, 2984, 543, 2916, 1689, 9542, 2833, 269, 634, 3896, 568, 519, 1267, 540, 519, 7840, 4547, 4464, 676, 7087, 9082, 693, 519, 7087, 8693, 7827, 29675, 20283, 532, 538, 476, 1001, 279, 563, 6701, 596, 513, 1982, 610, 3919, 602, 7482, 610, 7028, 7087, 24447, 2324, 593, 2916, 1689, 7341, 286, 1403, 596, 1131, 899, 547, 1683, 1344, 547, 1761, 23700, 1934, 267, 5225, 3914, 856, 547, 21411, 342, 22840, 865, 602, 649, 666, 960, 609, 596, 547, 5031, 707, 1982, 269, 0, 15307, 21521, 538, 476, 6977, 280, 267, 14135, 779, 15636, 23307, 25052, 814, 1044, 1271, 607, 513, 6288, 585, 14135, 753, 543, 8436, 267, 513, 3621, 9872, 267, 543, 607, 606, 2804, 4152, 2666, 543, 10131, 25247, 585, 9341, 24873, 6683, 1472, 519, 1158, 563, 22873, 6053, 22885, 547, 17908, 2470, 585, 519, 4324, 540, 10504, 267, 519, 25052, 941, 851, 540, 513, 12572, 6560, 676, 16984, 267, 3744, 267, 543, 22254, 547, 7682, 17282, 1369, 14913, 5607, 779, 9341, 5251, 267, 10452, 13346, 24300, 540, 1379, 267, 2257, 543, 2470, 1851, 2199, 16984, 543, 11397, 23003, 538, 6628, 269, 2060, 519, 7115, 540, 14135, 267, 519, 25052, 814, 1185, 547, 1265, 513, 1007, 1909, 267, 1101, 538, 519, 968, 13582, 532, 892, 540, 2022, 23949, 11163, 14135, 267, 543, 1631, 607, 14135, 781, 1101, 2622, 11595, 13505, 563, 30787, 519, 14135, 10651, 7258, 519, 9576, 15636, 23307, 25052, 267, 918, 1168, 543, 7762, 23307, 10651, 538, 3127, 267, 9919, 14125, 267, 24381, 527, 3780, 543, 519, 4639, 28851, 267, 713, 1433, 6645, 519, 1650, 540, 2470, 779, 12733, 2443, 513, 1747, 1141, 2371, 941, 6394, 267, 9286, 543, 16916, 547, 1689, 938, 1620, 540, 519, 3148, 543, 1158, 269, 25835, 281, 476, 7818, 7176, 272, 5325, 273, 19442, 274, 454, 290, 1478, 7392, 281, 28980, 454, 17273, 4032, 281, 476, 19054, 454, 17413, 15618, 281, 476, 1001, 277, 0, 289, 13633, 594, 4524, 568, 5097, 3989, 676, 812, 545, 610, 6404, 14501, 602, 2063, 585, 693, 2547, 476, 278, 2395, 267, 610, 1360, 4049, 812, 545, 2589, 17596, 7525, 6413, 1416, 269, 634, 3461, 849, 814, 19591, 14501, 799, 949, 2063, 585, 693, 2547, 476, 273, 4374, 563, 289, 13633, 4083, 4524, 568, 2356, 3765, 10972, 30938, 269, 898, 568, 6353, 676, 1624, 675, 1338, 540, 21759, 272, 2101, 19591, 14501, 609, 693, 2547, 476, 272, 3834, 2674, 545, 12558, 563, 290, 5670, 1054, 2096, 545, 4524, 610, 7814, 1054, 2096, 807, 568, 513, 7646, 1106, 540, 17299, 4524, 269, 14904, 723, 14501, 540, 3834, 2674, 807, 20367, 609, 7646, 4965, 602, 16569, 585, 476, 273, 1296, 563, 305, 777, 573, 268, 19464, 17299, 4524, 2550, 723, 21759, 275, 14501, 540, 2101, 4965, 267, 812, 807, 267, 3834, 2674, 807, 610, 6404, 2589, 1369, 513, 1032, 563, 1103, 2550, 609, 2295, 5821, 609, 4389, 552, 20287, 6824, 630, 295, 293, 337, 9128, 264, 8391, 2587, 3999, 839, 514, 8410, 31844, 10276, 10405, 630, 19781, 264, 20127, 267, 1164, 546, 3151, 1476, 619, 2640, 585, 519, 1981, 540, 2669, 610, 30674, 602, 616, 2147, 547, 602, 5833, 609, 2539, 546, 3151, 267, 2687, 547, 513, 9836, 2689, 543, 13849, 20400, 269, 0, 297, 846, 12253, 29973, 1576, 585, 519, 3167, 13176, 630, 10387, 3508, 529, 538, 7377, 543, 9412, 2575, 994, 1607, 1576, 6227, 519, 9238, 540, 519, 6293, 543, 3351, 5314, 540, 2575, 3069, 17950, 269, 22996, 786, 1353, 519, 9238, 540, 4730, 13176, 693, 513, 4098, 1377, 998, 4974, 2575, 10253, 267, 16147, 6698, 267, 543, 1455, 13176, 2259, 269, 589, 13801, 1686, 540, 519, 3167, 13176, 2059, 609, 513, 1353, 540, 922, 7222, 7574, 2553, 786, 849, 581, 3769, 538, 713, 1576, 563, 763, 1292, 6662, 540, 713, 1576, 568, 547, 3132, 606, 14556, 1881, 7071, 585, 2575, 676, 4730, 519, 13176, 269, 4841, 786, 1451, 875, 547, 1224, 2575, 10035, 267, 16147, 6698, 267, 543, 9184, 331, 1155, 269, 4841, 786, 849, 2744, 513, 1732, 1620, 540, 1082, 1114, 7574, 11964, 1519, 1402, 267, 5309, 330, 267, 21462, 267, 15690, 267, 4224, 267, 543, 824, 2442, 2575, 6163, 563, 293, 1042, 20143, 294, 3726, 541, 16497, 585, 1053, 540, 782, 2157, 543, 782, 6502, 563, 294, 3726, 541, 16497, 585, 1053, 540, 782, 2157, 543, 782, 6502, 563, 24836, 706, 730, 4116, 267, 689, 519, 9576, 20271, 2218, 540, 29761, 630, 300, 7539, 538, 8535, 4065, 543, 27227, 2871, 10560, 1070, 689, 519, 20271, 2218, 540, 700, 4068, 630, 538, 15690, 13176, 267, 8106, 10103, 267, 543, 8106, 2575, 3069, 1070, 519, 8535, 9142, 4139, 540, 27211, 269, 25328, 543, 9457, 4110, 538, 2575, 1108, 630, 299, 4068, 476, 274, 1040, 4279, 3942, 543, 27380, 1995, 563, 763, 1982, 786, 581, 3989, 2687, 547, 519, 6859, 540, 519, 2875, 630, 548, 15370, 267, 3318, 1646, 3267, 15426, 901, 949, 1331, 7156, 540, 519, 1739, 13838, 281, 2596, 1702, 540, 519, 13176, 267, 2596, 22334, 543, 811, 4359, 22334, 2073, 10253, 543, 12331, 2073, 3069, 543, 2259, 540, 27906, 5314, 2073, 1353, 540, 513, 27132, 6902, 1318, 1688, 4480, 630, 325, 532, 619, 610, 4584, 1070, 2575, 3069, 543, 11733, 4429, 10112, 793, 906, 616, 2016, 693, 519, 1439, 540, 1142, 1576, 865, 602, 519, 2875, 6487, 1018, 547, 960, 630, 621, 568, 16122, 547, 2259, 693, 2547, 513, 2370, 1063, 1142, 8400, 1040, 31087, 4932, 21612, 281, 22400, 17834, 30888, 9569, 6730, 11550, 16165, 8577, 12778, 654, 21135, 18688, 670, 26996, 2207, 17692, 22400, 23184, 28940, 25758, 6789, 595, 4041, 2752, 6789, 623, 5308, 10485, 25770, 2336, 310, 728, 3099, 540, 6163, 2433, 8106, 13176, 1315, 1315, 1315, 4224, 267, 21462, 2073, 4496, 267, 15690, 267, 12760, 2073, 1187, 330, 4429, 4415, 610, 1510, 2575, 3069, 563, 9824, 1314, 539, 543, 16798, 2164, 563, 299, 16722, 2433, 2296, 267, 3943, 2073, 5053, 267, 610, 10656, 563, 21413, 17185, 630, 335, 1601, 2225, 540, 2921, 513, 2582, 3992, 267, 1317, 7824, 338, 616, 3177, 267, 543, 960, 568, 2016, 585, 1896, 4374, 1315, 3275, 1916, 296, 6573, 18306, 19611, 281, 5990, 700, 8577, 2177, 700, 17129, 476, 2004, 32745, 7473, 2464, 454, 15812, 639, 303, 10730, 1299, 2575, 16455, 267, 1883, 15236, 267, 2228, 267, 610, 1357, 31748, 454, 24836, 9958, 543, 4810, 4116, 267, 3947, 1367, 1576, 267, 543, 7575, 1753, 693, 1753, 267, 1576, 8653, 476, 2568, 3764, 2356, 267, 7872, 540, 476, 3445, 3764, 630, 3467, 4277, 1916, 3393, 3764, 4245, 585, 1453, 689, 476, 278, 547, 476, 1015, 1296, 2025, 563, 20524, 707, 5759, 538, 519, 1158, 540, 2575, 543, 4992, 267, 1935, 2575, 998, 519, 14440, 610, 1022, 824, 13691, 6293, 267, 1404, 519, 6293, 3362, 267, 2653, 1935, 563, 11034, 1510, 15652, 676, 1565, 804, 320, 1853, 454, 16467, 707, 3965, 563, 294, 1868, 543, 27906, 5314, 563, 307, 583, 3645, 4773, 267, 8964, 610, 8964, 563, 5472, 6163, 267, 2413, 543, 5929, 563, 7343, 25209, 609, 519, 851, 1431, 2009, 563, 13825, 14244, 24523, 23531, 543, 8535, 13870, 269, 6258, 875, 547, 1020, 707, 2093, 563, 296, 723, 513, 4487, 4110, 538, 2575, 5888, 693, 519, 9576, 20271, 6737, 790, 9324, 12794, 698, 269, 594, 723, 1044, 2324, 538, 2575, 5888, 585, 476, 1015, 1032, 269, 901, 568, 513, 1362, 1141, 596, 616, 2469, 547, 1451, 875, 547, 960, 609, 707, 1378, 5888, 2093, 607, 1134, 1205, 29872, 766, 547, 1007, 5888, 2645, 543, 1935, 563, 1607, 568, 1930, 585, 1114, 2010, 540, 2575, 1935, 912, 268, 4207, 8106, 2575, 454, 268, 5907, 2575, 2504, 12458, 1076, 2023, 630, 1415, 2511, 596, 1616, 994, 268, 8535, 585, 28037, 9047, 630, 1492, 800, 543, 875, 547, 798, 23769, 5725, 609, 5439, 994, 268, 17653, 894, 8535, 630, 8794, 3193, 270, 916, 335, 543, 556, 752, 30004, 994, 299, 11770, 807, 303, 10730, 16497, 585, 20946, 10670, 1676, 268, 28723, 267, 18190, 543, 12634, 6163, 454, 296, 993, 513, 3318, 32058, 626, 5356, 4357, 14440, 543, 3069, 4245, 547, 1053, 540, 782, 2157, 269, 11109, 476, 1321, 1296, 540, 3450, 1995, 267, 594, 2972, 30070, 1250, 1053, 609, 2575, 540, 741, 1378, 9053, 2511, 543, 1719, 267, 2436, 602, 581, 8106, 610, 4207, 269, 3733, 1292, 3804, 568, 547, 3895, 513, 2318, 1995, 543, 2648, 585, 2575, 6194, 1282, 519, 1576, 540, 1565, 14440, 269, 1403, 519, 2875, 568, 5461, 538, 513, 811, 3978, 1935, 267, 594, 666, 849, 3391, 7041, 585, 9344, 476, 272, 268, 279, 540, 519, 23105, 8274, 540, 519, 9576, 12140, 540, 8535, 630, 5723, 11965, 300, 264, 11400, 269, 594, 993, 4867, 13197, 1250, 3791, 4110, 630, 8070, 12392, 19270, 1068, 338, 23383, 626, 264, 693, 519, 9576, 20271, 6737, 790, 4165, 4546, 335, 267, 543, 723, 5833, 1250, 25328, 779, 543, 9457, 779, 5232, 538, 623, 10730, 13437, 270, 24523, 689, 2160, 540, 16506, 543, 570, 290, 308, 6363, 677, 29247, 267, 29255, 267, 7330, 269, 3733, 1995, 2882, 5698, 609, 1082, 1114, 15747, 1235, 543, 2206, 619, 267, 7900, 607, 21088, 626, 609, 32316, 630, 10193, 607, 3771, 335, 626, 1070, 543, 8391, 1283, 26065, 538, 1896, 19194, 563, 298, 520, 773, 303, 10730, 610, 7869, 11819, 585, 30488, 610, 28968, 454, 296, 993, 513, 2875, 4974, 8106, 14440, 693, 519, 20271, 1807, 1756, 8709, 24545, 269, 594, 21783, 689, 519, 962, 12317, 644, 328, 9093, 7795, 514, 3427, 538, 4789, 563, 296, 666, 948, 1053, 609, 741, 14440, 11400, 267, 3069, 11400, 563, 296, 849, 723, 1995, 3450, 19444, 1053, 563, 7069, 3804, 568, 547, 8300, 1004, 609, 2575, 865, 602, 789, 1265, 7772, 538, 4730, 606, 6293, 543, 538, 519, 4245, 269, 594, 849, 2832, 547, 1118, 1169, 2875, 4947, 856, 540, 519, 3992, 547, 1745, 12592, 547, 2259, 543, 1616, 547, 798 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 264, 3812, 513, 1614, 31891, 1867, 593, 2518, 2916, 1689, 267, 25759, 972, 568, 1007, 543, 6793, 2963, 602, 1034, 540, 519, 8337, 4767, 936, 519, 2063, 476, 2004, 1296, 666, 581, 11911, 547, 1480, 2238, 267, 4481, 547, 606, 2333, 538, 11626, 3327, 8166, 543, 824, 834, 13582, 5264, 9362, 2668, 2311, 519, 7662, 540, 519, 6519, 5600, 267, 519, 2817, 9142, 540, 7070, 630, 2793, 306, 264, 12912, 513, 8470, 540, 3744, 547, 2232, 519, 3390, 543, 4983, 519, 14496, 540, 519, 7379, 6717, 1867, 269, 2334, 8470, 3812, 922, 1378, 1867, 267, 25759, 834, 11004, 568, 2489, 6876, 602, 519, 4767, 8337, 568, 1483, 543, 3226, 2178, 1369, 519, 2250, 476, 736, 1296, 257, 543, 834, 1492, 2242, 4767, 936, 519, 2063, 1896, 5756, 616, 2693, 6140, 1813, 547, 1480, 2238, 2668, 476, 1220, 275, 3812, 513, 1297, 540, 2090, 2417, 11028, 325, 15256, 891, 7422, 267, 2943, 13416, 2923, 543, 1585, 8093, 4492, 2872, 4395, 2516, 3136, 547, 8044, 2518, 8337, 568, 513, 7613, 540, 2470, 267, 602, 621, 781, 711, 513, 1713, 1966, 267, 543, 602, 2043, 543, 2516, 945, 3409, 621, 781, 513, 1966, 616, 1100, 811, 982, 2825, 17119, 1235, 1210, 4250, 544, 784, 1359, 12485, 547, 29057, 1004, 269, 1358, 1223, 581, 1100, 2417, 689, 519, 5168, 267, 607, 3621, 1353, 2164, 689, 476, 1220, 275, 1140, 652, 269, 0, 32513, 658, 1436, 568, 1419, 519, 15864, 1259, 547, 4688, 519, 1533, 540, 707, 1982, 269, 1411, 3274, 2328, 856, 519, 3615, 596, 2461, 1210, 267, 1287, 1224, 873, 1394, 538, 950, 596, 2461, 4712, 547, 11177, 519, 3561, 269, 1703, 568, 513, 17498, 728, 267, 2705, 269, 3689, 540, 782, 267, 17626, 1436, 568, 3500, 269, 1403, 596, 666, 5581, 513, 2688, 3758, 3898, 585, 707, 3498, 779, 6054, 267, 1210, 602, 3898, 786, 3592, 6157, 581, 1454, 5488, 982, 1843, 17626, 1436, 563, 13553, 267, 17626, 1436, 666, 3500, 610, 2061, 20203, 4015, 269, 5272, 942, 606, 1843, 568, 2854, 5196, 606, 1843, 3977, 6908, 267, 519, 6908, 6585, 593, 547, 513, 4704, 547, 519, 1843, 269, 3973, 267, 952, 519, 1482, 1843, 568, 2854, 5196, 519, 1482, 6908, 1586, 267, 621, 666, 581, 8719, 609, 513, 4704, 547, 922, 1101, 12136, 538, 519, 6908, 269, 1717, 267, 713, 1797, 602, 707, 1982, 6585, 593, 547, 2661, 8100, 547, 519, 3615, 621, 814, 2854, 2394, 519, 6908, 568, 19268, 610, 6806, 30147, 1797, 891, 3615, 4465, 1406, 581, 20203, 12258, 21124, 269, 634, 10782, 30924, 9183, 568, 950, 596, 1832, 513, 6908, 1930, 607, 1279, 607, 707, 1982, 8255, 543, 2328, 1169, 1843, 596, 1711, 5196, 519, 6908, 269, 901, 11151, 1022, 3615, 689, 1373, 20203, 12258, 21124, 563, 763, 2653, 3070, 568, 547, 2057, 5329, 513, 4881, 6908, 540, 519, 3615, 596, 1711, 269, 5502, 267, 4688, 519, 3003, 1533, 1152, 950, 519, 3003, 1533, 568, 2139, 267, 543, 1287, 2673, 519, 6908, 5612, 563, 2252, 713, 3884, 1406, 2009, 267, 596, 723, 519, 4781, 547, 19268, 519, 6908, 454, 2421, 1045, 3183, 922, 454, 21504, 20704, 19268, 3890, 25001, 594, 302, 2750, 4003, 454, 637, 564, 3890, 1166, 16640, 519, 454, 30606, 20479, 1805, 3195, 1843, 779, 4835, 21461, 540, 519, 3267, 0, 299, 1933, 532, 538, 476, 273, 1530, 6948, 2483, 299, 1933, 532, 538, 476, 273, 1530, 6948, 2483, 2419, 269, 476, 275, 281, 8827, 853, 334, 24734, 5852, 282, 9537, 540, 11906, 1234, 13905, 563, 12606, 8889, 281, 12474, 593, 519, 19534, 568, 3177, 547, 596, 6789, 4959, 585, 707, 1344, 543, 2123, 946, 543, 949, 711, 581, 4421, 1315, 13931, 1315, 3838, 593, 824, 7270, 1510, 3478, 9844, 689, 922, 2278, 269, 4407, 23842, 267, 952, 585, 930, 2601, 596, 616, 711, 2111, 547, 4647, 513, 6881, 267, 519, 17404, 949, 723, 25216, 519, 3758, 689, 741, 7746, 563, 2419, 269, 476, 275, 281, 8827, 853, 334, 24734, 5852, 282, 9537, 540, 11906, 1234, 13905, 3040, 4826, 568, 513, 8701, 11140, 281, 519, 6125, 1063, 519, 5135, 543, 519, 7250, 538, 1216, 568, 32128, 282, 855, 7429, 3044, 32128, 6675, 267, 5135, 814, 513, 3152, 16007, 585, 9211, 267, 3976, 519, 5135, 3587, 5594, 2942, 543, 519, 7250, 3587, 5594, 2318, 282, 1317, 540, 713, 21376, 5279, 267, 1216, 568, 513, 8701, 11140, 282, 3040, 3752, 28169, 281, 1317, 1216, 568, 513, 8701, 11140, 267, 621, 4744, 11510, 25617, 6878, 1034, 11593, 543, 32128, 6878, 547, 513, 14758, 4110, 1317, 540, 741, 1875, 1790, 6897, 4162, 269, 3040, 5457, 281, 968, 12024, 19837, 11510, 6145, 3034, 1805, 3994, 5288, 31808, 286, 3040, 16200, 32690, 630, 10907, 1749, 610, 645, 1162, 264, 616, 1346, 602, 4744, 1539, 622, 476, 1911, 260, 3040, 31808, 5082, 26299, 5052, 630, 10907, 1749, 610, 645, 1162, 264, 616, 1346, 602, 4744, 1539, 622, 1152, 13148, 610, 711, 693, 782, 269, 3040, 5457, 281, 590, 5285, 584, 545, 18729, 729, 16200, 855, 3600, 2045, 18729, 729, 4617, 543, 31406, 10281, 6918, 728, 729, 2178, 1247, 2549, 3000, 807, 729, 4617, 454, 3519, 1417, 1674, 281, 5666, 540, 6464, 538, 513, 3070, 3040, 631, 6897, 640, 281, 18253, 540, 1151, 1393, 829, 2148, 540, 3070, 3040, 631, 815, 18253, 540, 1151, 1393, 15828, 3438, 540, 3070, 3040, 1547, 273, 300, 3070, 1797, 602, 972, 616, 1547, 273, 332, 3421, 540, 1151, 1393, 15828, 3438, 3070, 3040, 12433, 519, 24855, 640, 540, 513, 3070, 5423, 676, 4744, 6295, 476, 1556, 269, 276, 326, 540, 4396, 10878, 15121, 538, 2614, 1216, 547, 1118, 476, 272, 269, 276, 700, 540, 3070, 269, 3040, 476, 272, 560, 281, 6460, 10101, 547, 18253, 281, 3040, 476, 1556, 269, 276, 326, 10878, 15121, 1535, 476, 272, 12387, 10878, 15121, 284, 476, 271, 269, 25971, 12387, 10878, 15121, 476, 2412, 269, 876, 575, 10878, 15121, 454, 3519, 1417, 1674, 4797, 281, 3040, 476, 273, 526, 281, 5173, 24855, 640, 676, 12270, 519, 1948, 332, 3421, 676, 519, 4320, 540, 519, 3070, 269, 3040, 631, 6897, 640, 281, 12387, 1151, 1393, 13624, 3070, 2433, 476, 271, 269, 25971, 12387, 10878, 15121, 270, 476, 272, 269, 2004, 700, 3070, 815, 476, 271, 269, 4572, 631, 10878, 15121, 5457, 281, 519, 4320, 1590, 581, 538, 22175, 619, 454, 291, 559, 1081, 281, 950, 1216, 568, 3773, 547, 513, 3070, 547, 3132, 519, 24855, 640, 5551, 3040, 6206, 8672, 281, 631, 3421, 540, 3752, 1393, 1310, 8920, 1081, 284, 631, 3421, 540, 1151, 1393, 1354, 8920, 1081, 3040, 7151, 281, 14597, 649, 991, 547, 5965, 476, 4335, 6447, 540, 476, 272, 269, 876, 631, 1035, 2045, 3679, 689, 513, 476, 1704, 269, 275, 6006, 3070, 269, 1548, 4320, 540, 6006, 3070, 568, 2838, 286, 3040, 476, 272, 560, 281, 22417, 476, 4335, 6447, 547, 18253, 3040, 476, 4335, 6447, 1535, 476, 272, 700, 3070, 1535, 476, 272, 269, 876, 12387, 31125, 273, 295, 274, 302, 273, 815, 269, 4335, 12387, 476, 1911, 271, 16720, 476, 272, 700, 8827, 31125, 273, 295, 274, 302, 273, 454, 16676, 4240, 2507, 3040, 476, 273, 526, 281, 4595, 649, 991, 547, 917, 519, 4320, 602, 3568, 1547, 4335, 18253, 649, 5173, 281, 3040, 966, 1535, 631, 815, 18253, 966, 1535, 476, 1704, 269, 275, 12387, 31125, 273, 295, 274, 302, 273, 815, 269, 4335, 12387, 476, 272, 700, 3070, 31125, 273, 295, 274, 302, 273, 3040, 16534, 585, 966, 815, 476, 271, 269, 271, 2764, 278, 700, 610, 476, 2764, 269, 278, 16720, 3070, 3040, 4935, 649, 666, 1491, 476, 2764, 269, 278, 16720, 540, 476, 1704, 269, 275, 631, 31125, 273, 295, 274, 302, 273, 543, 32561, 621, 547, 513, 2698, 4320, 540, 476, 4335, 16720, 547, 1106, 513, 476, 272, 300, 3070, 540, 1035, 2045, 3679, 454, 15650, 540, 11906, 1234, 13905, 3040, 2776, 27457, 2787, 6547, 281, 1018, 4396, 786, 581, 4646, 950, 1079, 3435, 616, 6404, 286, 3040, 18771, 4744, 1539, 622, 519, 12274, 547, 1265, 1018, 666, 581, 4646, 3040, 1401, 281, 10298, 540, 8000, 9914, 26537, 622, 568, 3773, 547, 645, 10740, 21193, 3433, 282, 634, 12274, 1459, 538, 3070, 616, 918, 31956, 9197, 302, 275, 268, 273, 267, 13391, 273, 31956, 12971, 274, 8894, 16676, 4240, 281, 4880, 594, 4577, 4834, 3040, 918, 10030, 9197, 302, 275, 268, 273, 266, 13391, 273, 10030, 17472, 274, 268, 2472, 3040, 1548, 2472, 666, 581, 4646, 286, 5457, 602, 524, 725, 6125, 609, 606, 687, 3040, 1924, 649, 1205, 2472, 540, 11379, 24277, 543, 536, 10740, 6985, 622, 3040, 918, 10030, 12971, 274, 268, 1341, 13391, 273, 10030, 9197, 302, 275, 268, 273, 3040, 1809, 799, 835, 3029, 602, 10511, 10028, 888, 15187, 9357, 923, 3502, 782, 25617, 7135, 786, 23271, 538, 1216, 630, 528, 824, 8701, 30177, 1040, 5623, 519, 32610, 3652, 585, 25617, 7135, 4744, 6295, 538, 1216, 269, 3040, 7102, 25617, 7623, 4171, 524, 566, 568, 6828, 29722, 610, 16139, 1756, 568, 19729, 267, 1100, 2339, 1018, 519, 606, 542, 568, 269, 3040, 2353, 6491, 6233, 267, 8392, 919, 267, 829, 18608, 919, 267, 543, 21449, 919, 616, 19729, 538, 1216, 267, 1100, 2339, 1018, 741, 524, 566, 568, 269, 3040, 2353, 8392, 1938, 267, 28538, 1938, 543, 19381, 1938, 616, 19729, 538, 1216, 4849, 8988, 267, 1291, 630, 2862, 264, 543, 16035, 630, 296, 264, 3040, 2353, 9829, 919, 616, 19729, 538, 1216, 4849, 8988, 267, 1291, 630, 2862, 264, 543, 16035, 630, 296, 1070, 7513, 267, 536, 10740, 543, 1193, 2632, 1756, 3040, 2353, 8485, 919, 267, 8485, 2572, 267, 9829, 2572, 267, 6985, 919, 267, 27524, 668, 919, 267, 14806, 1938, 267, 7989, 22462, 919, 267, 3404, 531, 919, 267, 27911, 267, 6491, 337, 1938, 267, 9829, 1938, 267, 19826, 1938, 267, 3327, 919, 543, 18038, 1938, 616, 5442, 306, 5357, 18510, 4041, 538, 1216, 8259, 741, 524, 566, 568, 6828, 29722, 6828, 4083, 288, 616, 1152, 5594, 19729, 18038, 1938, 454, 1432, 2306, 606, 1202, 20107, 10511, 10028, 286, 3040, 9122, 593, 891, 3652, 281, 519, 8000, 9914, 24277, 568, 19729, 267, 1946, 286, 3040, 14329, 1948, 272, 543, 4341, 1948, 273, 3040, 634, 645, 10740, 26537, 622, 568, 1202, 20107, 267, 1946, 286, 3040, 14329, 1948, 276, 3040, 1924, 649, 2328, 519, 2121, 25617, 3830, 607, 281, 3040, 918, 10030, 9197, 302, 275, 268, 273, 266, 13391, 273, 10030, 17472, 274, 268, 918, 10030, 12971, 274, 268, 1341, 13391, 24979, 302, 275, 630, 338, 264, 3040, 9061, 532, 856, 519, 899, 12274, 649, 1205, 2433, 3040, 9197, 302, 275, 268, 273, 266, 13391, 273, 266, 13391, 24979, 302, 275, 630, 338, 994, 300, 12817, 12307, 282, 13159, 594, 4577, 12307, 282, 4880, 594, 4577, 12307, 282, 3040, 589, 23869, 11379, 17296, 568, 3773, 547, 25694, 8988, 24277, 547, 1106, 513, 8988, 17296, 10511, 10028, 543, 25694, 11379, 24277, 2560, 3040, 17449, 17817, 281, 918, 5141, 630, 26698, 264, 1341, 3397, 17472, 274, 5416, 336, 264, 3397, 5141, 630, 338, 264, 1341, 918, 17472, 274, 5416, 336, 264, 3040, 13159, 594, 4577, 17817, 281, 918, 266, 1341, 1849, 268, 1341, 3397, 266, 1341, 12971, 274, 266, 3397, 5141, 630, 338, 264, 1341, 918, 266, 1341, 12971, 274, 266, 3040, 4880, 594, 4577, 17817, 281, 1849, 268, 1341, 3397, 266, 3397, 5141, 630, 338, 994, 15612, 725, 609, 13247, 6547, 3040, 1879, 25694, 3435, 540, 9770, 23253, 543, 1291, 4083, 21193, 3433, 616, 6404, 267, 513, 10511, 10028, 3029, 267, 3313, 519, 10511, 10028, 269, 3503, 519, 5114, 543, 3589, 519, 2472, 269, 3040, 10878, 273, 12569, 275, 1341, 623, 321, 263, 17472, 274, 264, 273, 10878, 17472, 274, 1341, 623, 321, 12569, 275, 3040, 14298, 5655, 268, 1341, 623, 321, 273, 266, 623, 321, 12569, 275, 3040, 1772, 621, 7059, 888, 24280, 519, 2527, 540, 1291, 23253, 4646, 952, 476, 272, 269, 1839, 700, 540, 476, 271, 269, 4962, 300, 1291, 24277, 543, 476, 273, 269, 876, 700, 540, 1547, 28276, 300, 9770, 23253, 616, 6404, 3040, 12433, 519, 18253, 540, 2746, 1218, 1459, 281, 3040, 476, 272, 269, 1839, 700, 623, 321, 273, 266, 1535, 269, 4962, 544, 11169, 623, 321, 273, 266, 815, 476, 271, 269, 6187, 273, 276, 28485, 623, 321, 273, 266, 272, 700, 623, 321, 273, 266, 3040, 476, 273, 269, 876, 700, 14298, 5655, 268, 1535, 1547, 28276, 544, 11169, 14298, 5655, 268, 815, 476, 271, 269, 4962, 12387, 14298, 5655, 268, 476, 272, 700, 14298, 5655, 268, 3040, 6904, 568, 519, 12145, 2746, 656, 286, 3040 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 21018, 1318, 2066, 519, 3345, 540, 4789, 267, 3957, 1310, 519, 14890, 16874, 6929, 563, 763, 14564, 3710, 621, 547, 5094, 4936, 2244, 538, 6628, 689, 10430, 543, 9718, 621, 689, 519, 22215, 13677, 11031, 563, 2005, 3576, 827, 476, 1428, 267, 1822, 7980, 1472, 476, 1691, 1296, 547, 1628, 519, 2898, 3774, 689, 6149, 543, 3618, 563, 12441, 596, 917, 912, 763, 3774, 568, 476, 10463, 5195, 1279, 267, 476, 274, 15432, 2647, 543, 1063, 476, 274, 269, 276, 543, 476, 277, 15432, 1164, 2336, 763, 12856, 540, 16874, 6929, 781, 9931, 912, 2467, 941, 476, 1626, 585, 1206, 2059, 519, 2698, 3259, 540, 16874, 6929, 781, 9931, 269, 3962, 941, 1753, 547, 4114, 476, 7785, 7980, 563, 310, 699, 25167, 10766, 1811, 998, 799, 7980, 1223, 29862, 519, 3774, 269, 29740, 1169, 4936, 13304, 2059, 519, 3774, 269, 3962, 631, 850, 31069, 729, 1753, 547, 4114, 269, 476, 736, 7980, 563, 310, 699, 7381, 13156, 2798, 1141, 7980, 1223, 1832, 4585, 269, 1703, 941, 1079, 5695, 28905, 693, 2834, 11996, 1063, 1142, 631, 850, 31069, 563, 12441, 596, 917, 912, 9213, 649, 666, 1152, 1294, 827, 476, 1015, 260, 540, 519, 3312, 3774, 267, 936, 519, 1296, 519, 824, 10007, 941, 6569, 610, 10032, 563, 6701, 596, 513, 4116, 286, 8786, 286, 3973, 596, 3513, 9090, 1616, 22569, 1456, 3778, 547, 3142, 741, 1412, 289, 3716, 3821, 910, 5020, 538, 4936, 6628, 262, 20308, 13186, 547, 707, 1153, 563, 5978, 13815, 8862, 15619, 7886, 9192, 1909, 25178, 267, 9423, 267, 23405, 543, 12416, 543, 2773, 547, 3142, 1686, 547, 1272, 585, 707, 1053, 563, 1103, 938, 1412, 289, 3716, 3821, 910, 5020, 538, 4936, 6628, 262, 13186, 707, 1053, 786, 2743, 645, 3716, 3821, 267, 10348, 540, 519, 594, 322, 523, 328, 267, 543, 3605, 1101, 11804, 519, 2242, 602, 519, 4936, 7276, 4547, 547, 6628, 282, 1312, 585, 1732, 543, 8338, 563, 25440, 539, 676, 606, 4810, 17076, 538, 2407, 1974, 28076, 267, 645, 3716, 3821, 786, 1036, 1446, 707, 1053, 609, 4241, 2984, 267, 16367, 5013, 543, 4241, 31851, 269, 0, 2108, 15463, 5146, 568, 1945, 602, 707, 3237, 1128, 650, 538, 596, 267, 707, 26069, 267, 707, 2295, 267, 2247, 543, 9997, 6100, 968, 290, 11857, 568, 1945, 602, 2242, 936, 942, 543, 568, 5293, 1524, 547, 519, 1985, 5108, 543, 865, 593, 5608, 891, 1079, 1919, 1058, 581, 1945, 602, 568, 1271, 547, 596, 269, 769, 7705, 21701, 779, 2110, 1650, 968, 9336, 1485, 2422, 892, 543, 32038, 10620, 631, 4157, 615, 329, 2465, 779, 2123, 1557, 267, 968, 10521, 2081, 547, 5617, 784, 538, 3013, 892, 676, 32038, 10620, 631, 4157, 615, 329, 2465, 519, 6476, 540, 7395, 27932, 543, 21001, 1397, 1079, 2021, 945, 3180, 593, 547, 741, 3312, 2528, 1247, 32038, 10620, 543, 1546, 324, 1616, 1776, 1272, 269, 1452, 2984, 1118, 803, 4898, 519, 1482, 2243, 269, 4208, 798, 519, 7820, 16254, 5660, 741, 2528, 811, 888, 1103, 27813, 1325, 29166, 345, 779, 4165, 19390, 657, 267, 568, 827, 513, 1762, 29401, 1977, 2021, 3957, 962, 565, 7701, 945, 568, 9683, 1200, 22657, 543, 1920, 538, 3406, 540, 1200, 606, 1729, 329, 657, 610, 26351, 799, 5012, 1200, 547, 711, 1152, 2686, 30925, 1063, 1977, 543, 29401, 2081, 855, 1373, 2111, 547, 556, 6618, 609, 1200, 5065, 3961, 269, 962, 565, 7701, 729, 4535, 538, 519, 29401, 6243, 543, 8057, 909, 538, 3013, 269, 2701, 12599, 1394, 547, 1200, 22657, 585, 519, 1101, 942, 538, 5722, 1296, 609, 513, 7872, 540, 9363, 18385, 543, 968, 2507, 331, 633, 1934, 593, 1200, 1378, 2474, 892, 630, 2704, 29166, 345, 476, 9873, 275, 1040, 4014, 1200, 6905, 1920, 7143, 3699, 1200, 267, 1200, 31225, 338, 543, 30980, 16175, 10404, 3278, 1200, 5920, 543, 1977, 2081, 267, 607, 1352, 3623, 1836, 31886, 741, 338, 269, 962, 565, 7701, 814, 2352, 569, 6340, 5053, 267, 588, 22824, 936, 1200, 1913, 543, 454, 300, 4821, 814, 5030, 609, 519, 2856, 602, 5191, 729, 519, 2495, 540, 1272, 269, 2353, 1200, 11937, 941, 10437, 269, 4173, 3003, 1920, 4941, 5191, 269, 3767, 602, 1200, 5067, 568, 10213, 1200, 602, 2724, 568, 519, 1007, 2495, 540, 1272, 267, 1352, 568, 4466, 602, 1523, 2182, 547, 9787, 593, 1932, 269, 631, 4821, 568, 865, 1305, 602, 1200, 5784, 1869, 4019, 547, 519, 1158, 1352, 2729, 538, 1631, 267, 855, 19124, 814, 8810, 1200, 4636, 563, 5445, 4769, 1406, 917, 519, 1893, 799, 2451, 873, 811, 11630, 547, 6013, 269, 26689, 329, 2131, 1750, 730, 873, 856, 540, 1018, 2370, 2724, 789, 1185, 2451, 1310, 741, 12599, 543, 789, 18923, 1185, 2614, 547, 7639, 269, 634, 645, 6324, 839, 267, 2705, 267, 945, 5030, 2673, 676, 941, 6126, 547, 948, 543, 3177, 1082, 2556, 3688, 602, 3893, 519, 1744, 25534, 323, 553, 998, 519, 5162, 269, 1358, 1256, 6035, 547, 4001, 4165, 8205, 2296, 267, 799, 1352, 1287, 3459, 547, 4001, 547, 1200, 1920, 269, 10801, 519, 3209, 267, 4165, 8205, 16137, 1082, 1272, 4245, 267, 4245, 602, 948, 1200, 998, 1272, 538, 3013, 563, 288, 20903, 543, 513, 20516, 616, 811, 7567, 982, 519, 1455, 835, 949, 1589, 269, 769, 4469, 534, 1676, 344, 744, 685, 3519, 1676, 779, 1650, 968, 288, 6153, 2494, 1772, 10434, 547, 4855, 5608, 9727, 513, 16726, 1063, 519, 16700, 7257, 543, 519, 20516, 6029, 602, 1434, 543, 9409, 616, 711, 519, 1482, 538, 782, 2043, 269, 744, 685, 3519, 1676, 3096, 891, 1978, 3197, 547, 1397, 519, 3017, 1063, 1434, 543, 3983, 267, 855, 538, 519, 1439, 1312, 519, 20516, 543, 519, 16700, 7257, 1397, 513, 1689, 538, 1915, 269, 4469, 534, 1676, 344, 744, 685, 3519, 1676, 779, 18216, 4301, 4282, 814, 6766, 782, 1200, 2984, 269, 744, 685, 3519, 1676, 779, 1920, 729, 835, 540, 519, 1101, 547, 2661, 538, 1200, 554, 32528, 540, 631, 2683, 613, 6807, 267, 11908, 1352, 849, 13984, 1612, 5255, 658, 1153, 563, 29409, 13769, 27180, 519, 6530, 540, 3993, 3125, 950, 5590, 515, 543, 1200, 1453, 7237, 5191, 269, 3143, 3476, 513, 834, 3691, 25005, 2437, 5590, 515, 568, 1863, 547, 2648, 1200, 1453, 11613, 543, 267, 4061, 267, 3587, 5827, 540, 1818, 11786, 24279, 547, 2149, 873, 269, 31513, 8711, 519, 3665, 15970, 3268, 602, 5590, 515, 3217, 547, 4688, 1200, 1453, 689, 513, 1272, 1352, 2899, 5030, 269, 10801, 1200, 6689, 543, 883, 1200, 15296, 267, 5590, 515, 5433, 14460, 676, 1200, 3993, 950, 1352, 23012, 8474, 1510, 2921, 5590, 515, 609, 1200, 269, 5590, 515, 1705, 711, 1616, 1200, 8250, 267, 5617, 3437, 267, 547, 1745, 713, 454, 763, 1101, 1554, 972, 649, 6170, 3478, 547, 917, 938, 3984, 269, 2701, 729, 606, 2025, 267, 12832, 31804, 10224, 14799, 945, 2141, 1185, 7912, 593, 1200, 10571, 269, 2701, 1500, 721, 1745, 865, 10950, 538, 1200, 1753, 607, 649, 3893, 13883, 269, 4173, 2777, 729, 899, 513, 844, 2830, 269, 1306, 1200, 1920, 8057, 267, 1200, 9393, 1185, 3773, 593, 1007, 11623, 543, 24909, 547, 519, 2899, 1507, 2777, 563, 2005, 729, 1250, 18947, 1032, 540, 4400, 1153, 950, 1250, 3237, 4956, 547, 6494, 803, 593, 513, 5692, 7552, 547, 6239, 3013, 269, 2353, 1250, 2828, 941, 10760, 856, 547, 519, 5695, 802, 543, 24272, 639, 543, 594, 729, 593, 513, 7077, 547, 12832, 31804, 7699, 269, 594, 1131, 581, 972, 585, 476, 1015, 2395, 543, 1131, 581, 2679, 8075, 543, 4543, 519, 991, 344, 269, 594, 729, 711, 693, 782, 9599, 547, 581, 2469, 543, 1185, 2864, 1044, 609, 1250, 3659, 11981, 519, 10195, 269, 594, 1131, 4166, 2097, 547, 8275, 602, 12832, 31804, 7699, 1131, 4001, 803, 1614, 3992, 602, 1131, 3251, 609, 803, 11014, 281, 875, 547, 2661, 4628, 267, 602, 1570, 2115, 616, 711, 3388, 267, 543, 602, 2713, 585, 2441, 568, 3388, 563, 10144, 1419, 2161, 1272, 568, 1018, 596, 1118, 540, 621, 269, 1411, 666, 1118, 519, 1034, 856, 540, 621, 267, 596, 666, 711, 1416, 267, 610, 596, 666, 959, 19276, 1472, 7683, 1373, 1524, 269, 15526, 6499, 547, 581, 12300, 282, 547, 1696, 577, 741, 1582, 883, 938, 3047, 267, 543, 803, 286, 594, 3580, 581, 15422, 607, 602, 835, 5409, 267, 3860, 267, 562, 518, 11276, 267, 4906, 1954, 752, 540, 513, 8004, 543, 594, 2648, 621, 269, 634, 5354, 540, 1004, 693, 25844, 19376, 5664, 3427, 6487, 803, 607, 519, 835, 10978, 8004, 945, 2141, 586, 20635, 543, 26357, 538, 519, 10689, 1811, 630, 334, 3591, 8094, 18933, 3424, 568, 1419, 9575, 909, 609, 13099, 541, 9579, 328, 543, 824, 2923, 5473, 7301, 12416, 543, 3347, 269, 589, 1434, 5354, 540, 1200, 8964, 616, 1759, 593, 1200, 2250, 3347, 543, 17052, 269, 634, 2923, 14560, 547, 3548, 782, 540, 519, 30861, 575, 1601, 2354, 909, 543, 13177, 7727, 6266, 540, 621, 585, 873, 269, 13177, 3323, 856, 1200, 2575, 4876, 950, 1352, 729, 1762, 269, 898, 782, 3323, 950, 1352, 729, 4535, 593, 5412, 476, 1724, 267, 476, 2735, 280, 269, 0, 3719, 1034, 5411, 3049, 741, 535, 26413, 14369, 513, 3575, 540, 2915, 1426, 267, 3032, 1426, 267, 5388, 267, 543, 4829, 269, 16737, 525, 5749, 1405, 5906, 547, 3425, 267, 4849, 950, 789, 616, 14739, 573, 267, 799, 568, 1360, 4686, 269, 1261, 568, 4867, 27838, 538, 7203, 11844, 267, 14411, 269, 634, 1034, 1455, 3069, 568, 602, 932, 8811, 340, 1695, 7699, 568, 26731, 689, 519, 15306, 24734, 267, 2560, 6787, 9960, 610, 32198, 519, 932, 8811, 340, 1695, 7699, 267, 6854, 585, 15093, 610, 607, 10130, 269, 7849, 1235, 17695, 1125, 602, 519, 16136, 1242, 10772, 4196, 607, 12094, 634, 4720, 540, 7703, 2249, 269, 2915, 8843, 606, 6792, 945, 4421, 7187, 6792, 547, 519, 2136, 2276, 538, 476, 7277, 279, 264, 849, 634, 1272, 12732, 568, 476, 1321, 268, 736, 1296, 269, 772, 16744, 829, 12320, 1014, 4552, 1652, 543, 669, 8811, 340, 1695, 7699, 3575, 2915, 538, 4544, 4418, 831, 269, 645, 1359, 2269, 1080, 267, 1498, 519, 11335, 2477, 543, 898, 568, 711, 513, 1434, 2856, 547, 3142, 513, 932, 8811, 340, 1695, 7699, 883, 513, 1753, 1141, 1507, 1453, 616, 1459, 269, 901, 2370, 18560, 568, 827, 1614, 4374, 2025, 543, 4358, 547, 5179, 1472, 269, 547, 4163, 267, 3049, 267, 543, 23816, 548, 519, 20164, 1472, 674, 26413, 322, 639, 1990, 518, 6767, 4522, 269, 634, 3362, 20240, 8984, 3838, 676, 519, 17927, 2915, 543, 519, 6271, 2101, 2014, 540, 16541, 29160, 2551, 7771, 568, 812, 613, 544, 924, 630, 290, 26937, 573, 641, 5052, 838, 4700, 634, 1034, 1455, 3069, 568, 602, 932, 8811, 340, 1695, 7699, 616, 26731, 689, 519, 15306, 24734, 267, 513, 13959, 2915, 23163, 676, 519, 24729, 974, 322, 10340, 538, 6792, 269, 4256, 25151, 723, 1312, 1279, 543, 2110, 4552, 269, 634, 535, 26413, 322, 16541, 729, 538, 1249, 267, 9537, 540, 16737, 525, 16737, 15661, 269, 634, 2539, 1297, 540, 15954, 538, 29372, 910, 476, 4375, 538, 5243, 5288, 269, 476, 3953, 538, 519, 674, 26413, 322, 910, 2306, 621, 7543, 585, 519, 1079, 2249, 547, 9742, 543, 3132, 29528, 269, 23582, 5288, 269, 3552, 910, 1247, 519, 3979, 3552, 13906, 568, 519, 18577, 2249, 689, 799, 6469, 7314, 616, 26731, 267, 543, 3552, 322, 1846, 543, 6469, 7314, 666, 4625, 954, 3691, 539, 267, 1896, 13591, 5933, 2049, 1063, 6469, 4620, 543, 7895, 580, 872, 7314, 593, 835, 1688, 543, 7357, 3552, 2831, 593, 519, 824, 269, 538, 3345, 3013, 1279, 1354, 789, 1223, 7654, 723, 8452, 3967, 476, 278, 267, 476, 1708, 271, 910, 10812, 5243, 781, 4604, 834, 577, 8811, 340, 1695, 7699, 554, 2931, 2580, 4553, 676, 476, 25908, 271, 1004, 593, 26964, 269, 646, 3357, 689, 267, 519, 10545, 6469, 2915, 4278, 1882, 538, 7187, 6792, 543, 22387, 1155, 590, 1013, 879, 10045, 1341, 932, 8811, 340, 1695, 7699, 815, 932, 6500, 269, 634, 25069, 322, 1031, 16737, 525, 616, 1360, 5100, 538, 2081, 602, 2339, 281, 4466, 1426, 267, 17005, 538, 4365, 26037, 267, 856, 342, 9231, 11975, 267, 7863, 741, 1762, 269, 4666, 1848, 18833, 519, 19039, 543, 2347, 20174, 540, 519, 610, 13676, 769, 1169, 1032, 2094, 476, 1960, 271, 267, 4080, 2665, 540, 29811, 538, 7314, 723, 856, 333, 3518, 1229, 2665, 540, 29811, 538, 5243, 269, 12315, 1864, 513, 1507, 10775, 22630, 16737, 269, 1452, 29372, 666, 3362, 581, 18901, 2476, 676, 1818, 10978, 21089, 971, 607, 586, 2454, 610, 25738, 627, 30178, 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 ]
[ 0, 1692, 547, 2422, 674, 16898, 291, 5495, 25770, 9577, 538, 9185, 630, 275, 6201, 2020, 7476, 17676, 11628, 9185, 20113, 609, 10298, 2439, 4407, 7231, 609, 9786, 9185, 267, 3006, 649, 991, 547, 5173, 519, 5595, 27353, 540, 606, 8870, 269, 634, 674, 16898, 291, 5495, 25770, 1599, 568, 513, 3710, 2987, 1599, 602, 2337, 721, 547, 1265, 519, 5595, 27353, 540, 606, 8870, 538, 9185, 269, 4653, 267, 538, 713, 2376, 267, 649, 786, 1451, 2185, 1806, 540, 875, 547, 946, 519, 674, 16898, 291, 5495, 25770, 1599, 538, 9185, 3927, 609, 3617, 12383, 780, 293, 16898, 291, 5495, 25770, 9577, 11137, 692, 306, 9321, 1314, 692, 763, 16105, 540, 519, 674, 16898, 291, 5495, 25770, 1599, 568, 10484, 319, 284, 293, 16898, 291, 5495, 25770, 28840, 23375, 692, 26855, 3701, 19247, 692, 26855, 3701, 22490, 270, 18893, 1308, 19247, 454, 15893, 22490, 16849, 513, 5595, 27353, 540, 602, 1297, 780, 27987, 10025, 692, 763, 674, 16898, 291, 5495, 25770, 1599, 7024, 513, 5595, 27353, 540, 513, 1297, 780, 22492, 11872, 692, 2171, 786, 5173, 519, 5595, 27353, 540, 519, 715, 628, 8870, 1210, 519, 674, 16898, 291, 5495, 25770, 1599, 269, 2913, 5889, 23717, 338, 723, 513, 1413, 2630, 547, 1732, 1174, 780, 1892, 1403, 519, 715, 628, 8870, 568, 744, 9536, 10484, 284, 293, 16898, 291, 5495, 25770, 18217, 2020, 284, 301, 16732, 301, 268, 273, 31618, 301, 268, 275, 12684, 5889, 11366, 22935, 5889, 11366, 22935, 265, 278, 265, 276, 265, 274, 265, 272, 692, 1892, 1403, 519, 715, 628, 8870, 568, 4634, 10484, 284, 293, 16898, 291, 5495, 25770, 18217, 2020, 284, 301, 16732, 301, 268, 273, 31618, 301, 268, 275, 12684, 5889, 11366, 22935, 5889, 11366, 22935, 265, 279, 265, 277, 265, 275, 265, 273, 692, 1892, 1280, 3236, 267, 649, 786, 5173, 519, 5595, 27353, 540, 8870, 476, 278, 780, 284, 293, 16898, 291, 5495, 25770, 263, 278, 2020, 284, 278, 265, 276, 265, 274, 265, 272, 692, 284, 10755, 692, 1892, 634, 674, 16898, 291, 5495, 25770, 1599, 568, 2139, 689, 9185, 476, 1220, 278, 547, 519, 1459, 4528, 269, 901, 1599, 568, 849, 2139, 538, 8433, 476, 18458, 269, 594, 723, 1031, 9185, 476, 1708, 272, 1247, 1603, 713, 2376, 780, 13706, 519, 1739, 10471, 269, 2913, 5889, 23717, 338, 946, 713, 10471, 547, 6542, 1018, 3527, 547, 1491, 1247, 1210, 519, 674, 16898, 291, 5495, 25770, 1599, 269, 1284, 786, 5173, 519, 5595, 27353, 540, 606, 9642, 610, 1256, 1297, 267, 543, 5173, 519, 27353, 540, 513, 1297, 607, 1134, 267, 1210, 519, 674, 16898, 291, 5495, 25770, 1599, 269, 1284, 946, 9566, 519, 674, 16898, 291, 5495, 25770, 543, 18919, 302, 3036, 3252, 547, 5173, 519, 5595, 27353, 540, 606, 8870, 538, 9185, 269, 3371, 5889, 23717, 338, 606, 7650, 540, 519, 10471, 585, 2221, 5889, 23717, 338, 4305, 780, 272, 269, 16792, 519, 674, 16898, 291, 5495, 25770, 9577, 547, 12433, 519, 8605, 540, 744, 9536, 6715, 619, 692, 1103, 713, 1383, 267, 649, 786, 5173, 519, 5595, 27353, 540, 606, 9642, 8870, 1210, 519, 674, 16898, 291, 5495, 25770, 1599, 269, 901, 568, 606, 2653, 543, 942, 22766, 4305, 607, 1134, 269, 2913, 5889, 23717, 338, 1246, 519, 5528, 2630, 547, 1451, 2439, 3721, 338, 1384, 1892, 3689, 540, 782, 267, 2824, 1591, 595, 276, 543, 2328, 1524, 519, 2630, 674, 16898, 291, 5495, 25770, 1599, 538, 602, 1591, 269, 634, 1599, 568, 2676, 319, 284, 293, 16898, 291, 5495, 25770, 16360, 276, 23375, 692, 8489, 645, 276, 568, 519, 1297, 4661, 540, 519, 674, 16898, 291, 5495, 25770, 1599, 780, 1892, 2991, 602, 267, 3274, 2046, 9373, 593, 707, 13691, 269, 1306, 513, 1267, 267, 596, 786, 1205, 519, 5595, 27353, 540, 476, 1428, 799, 568, 519, 2132, 540, 519, 1587, 540, 519, 9642, 9981, 909, 547, 476, 1428, 269, 4475, 267, 519, 2132, 786, 581, 476, 1708, 3583, 273, 276, 780, 1892, 4329, 267, 4019, 519, 16790, 293, 650, 1907, 585, 519, 4542, 609, 519, 674, 16898, 291, 5495, 25770, 1599, 547, 519, 1964, 540, 519, 2281, 538, 6241, 595, 780, 273, 269, 4635, 519, 674, 16898, 291, 5495, 25770, 9577, 547, 12433, 519, 8605, 540, 4634, 6715, 619, 692, 3086, 267, 649, 786, 5173, 519, 5595, 27353, 540, 606, 1256, 8870, 1210, 519, 674, 16898, 291, 5495, 25770, 1599, 269, 901, 568, 606, 2653, 543, 942, 22766, 4305, 607, 1134, 269, 2913, 5889, 23717, 338, 1246, 519, 5528, 2630, 547, 1451, 2439, 3721, 338, 1384, 1892, 23453, 519, 1739, 4542, 538, 1591, 595, 276, 563, 319, 284, 293, 16898, 291, 5495, 25770, 16360, 276, 23375, 692, 8489, 645, 276, 568, 519, 1297, 4661, 540, 519, 674, 16898, 291, 5495, 25770, 1599, 780, 1892, 30850, 267, 3274, 5734, 9373, 269, 9747, 267, 596, 786, 1205, 519, 5595, 27353, 540, 476, 1626, 799, 568, 519, 2132, 540, 519, 1587, 540, 519, 1256, 9981, 909, 547, 476, 1626, 269, 634, 2132, 568, 476, 9818, 25546, 736, 780, 1892, 2991, 602, 267, 946, 519, 16790, 293, 650, 4183, 609, 519, 674, 16898, 291, 5495, 25770, 1599, 585, 519, 1964, 540, 519, 2281, 538, 6241, 595, 780, 274, 269, 22034, 519, 674, 16898, 291, 5495, 25770, 9577, 547, 12433, 519, 5517, 3645, 540, 6715, 619, 692, 1103, 713, 3296, 267, 649, 786, 5173, 519, 27353, 540, 606, 8870, 676, 7311, 519, 674, 16898, 291, 5495, 25770, 1599, 269, 17616, 267, 519, 674, 16898, 291, 5495, 25770, 1599, 21410, 519, 5595, 27353, 540, 606, 9642, 610, 1256, 1297, 269, 19627, 267, 519, 674, 16898, 291, 5495, 25770, 1599, 21410, 519, 5595, 27353, 540, 513, 27312, 1256, 610, 9642, 1297, 269, 30850, 267, 891, 1079, 3252, 786, 9062, 519, 5595, 27353, 338, 547, 1205, 519, 27353, 540, 513, 1297, 269, 2913, 5889, 23717, 338, 1246, 519, 5528, 2630, 547, 1451, 2439, 3721, 338, 1384, 1892, 3503, 1524, 519, 1739, 4542, 538, 1591, 595, 276, 563, 319, 284, 293, 16898, 291, 5495, 25770, 16360, 276, 12684, 293, 16898, 291, 5495, 25770, 16360, 276, 268, 272, 23375, 692, 8489, 519, 1101, 645, 276, 568, 519, 1297, 4661, 540, 519, 1101, 674, 16898, 291, 5495, 25770, 19627, 267, 645, 276, 268, 272, 568, 519, 1297, 4661, 540, 519, 2034, 674, 16898, 291, 5495, 25770, 1599, 780, 1892, 9747, 267, 2046, 9373, 269, 2991, 602, 267, 596, 786, 1205, 519, 27353, 540, 476, 1015, 799, 568, 519, 2132, 540, 519, 1587, 540, 782, 519, 9981, 909, 547, 476, 1015, 269, 634, 2132, 568, 476, 3607, 273, 279, 3199, 271, 780, 1892, 2991, 602, 267, 16790, 293, 650, 519, 2281, 609, 519, 4542, 540, 519, 674, 16898, 291, 5495, 25770, 1599, 547, 519, 1964, 540, 519, 2281, 538, 6241, 595, 780, 275, 269, 26157, 674, 16898, 291, 5495, 25770, 543, 18919, 302, 3036, 12793, 547, 5192, 8605, 540, 6715, 619, 692, 8310, 855, 711, 2547, 267, 649, 786, 4019, 519, 674, 16898, 291, 5495, 25770, 543, 18919, 302, 3036, 3252, 547, 5173, 519, 5595, 27353, 540, 606, 8870, 538, 9185, 269, 17616, 267, 519, 18919, 302, 3036, 1599, 7024, 606, 8870, 1871, 540, 513, 1483, 1297, 269, 9747, 267, 519, 674, 16898, 291, 5495, 25770, 1599, 786, 6460, 602, 8870, 883, 513, 5595, 27353, 269, 2913, 5889, 23717, 338, 1246, 519, 5528, 2630, 547, 1451, 2439, 3721, 338, 1384, 1892, 7392, 519, 1739, 4542, 538, 1591, 595, 276, 269, 634, 4542, 568, 2676, 319, 284, 293, 16898, 291, 5495, 25770, 263, 14566, 302, 3036, 16360, 276, 267, 272, 4297, 319, 454, 1892, 4329, 267, 3274, 2046, 9373, 269, 1306, 513, 1267, 267, 596, 786, 1205, 519, 5595, 27353, 540, 476, 278, 269, 8660, 799, 568, 519, 2132, 540, 519, 3252, 269, 634, 2132, 568, 476, 10755, 780, 13528, 3121, 16505, 6658, 454, 1892, 18738, 519, 18919, 302, 3036, 1599, 267, 645, 276, 568, 519, 1297, 4661, 267, 543, 476, 272, 568, 519, 4644, 4661, 563, 1892, 18919, 302, 3036, 16360, 276, 267, 272, 264, 17838, 476, 8660, 883, 476, 278, 563, 1892, 2991, 602, 267, 674, 16898, 291, 5495, 25770, 263, 14566, 302, 3036, 16360, 276, 267, 272, 4297, 7024, 519, 5595, 27353, 540, 476, 278, 563, 1892, 4329, 267, 946, 519, 16790, 293, 650, 1907, 585, 519, 1964, 540, 519, 2281, 538, 6241, 595, 780, 3725, 3517, 19992, 674, 16898, 291, 5495, 25770, 9577, 3502, 11554, 538, 9185, 692, 11293, 5558, 1879, 1358, 8058, 454, 258, 309, 3201, 16604, 256, 1403, 519, 1297, 568, 711, 25948, 563, 258, 301, 9331, 256, 1403, 519, 1297, 568, 2942, 28840, 10922, 910, 273, 6393, 6962, 692, 296, 4126, 782, 540, 519, 5078, 1806, 5018, 1657, 547, 946, 519, 674, 16898, 291, 5495, 25770, 1599, 786, 1631, 28596, 596, 547, 4019, 873, 538, 707, 9185, 18580, 1115, 609, 811, 7607, 269, 1411, 616, 1034, 10950, 547, 1745, 1863, 547, 6085, 952, 596, 723, 1022, 2055, 610, 14511, 780, 1432, 568, 9185, 291, 5519, 2496, 2750, 4897, 291, 5519, 6258, 9185, 1299, 9185, 10298, 4741, 2488, 1863, 9185, 18862, 267, 1863, 1489, 2073, 2228, 9185, 2866, 543, 9185, 5077, 3599, 2533, 585, 9185, 4648, 543, 4213, 269, 18461, 1863, 547, 3346, 721, 609, 707, 9185, 2042, 563, 300, 323, 269, 19869, 584, 31670, 574, 681, 553, 601, 692, 17098, 256, 594, 6415, 631, 323, 269, 19869, 584, 31670, 574, 681, 553, 601, 269, 8080, 547, 1250, 28483, 269, 17497, 267, 594, 993, 2324, 543, 3257, 1382, 593, 9786, 9185, 543, 1934, 594, 786, 581, 20171, 4930, 1644, 547, 713, 269, 594, 723, 6192, 1250, 22692, 538, 25220, 15339, 543, 13149, 7177, 263, 2793, 10933, 264, 689, 16273, 2160, 540, 7177, 543, 5303, 16360, 308, 4953, 1040, 594, 723, 513, 6612, 585, 1565, 1007, 1919, 609, 1250, 1702, 998, 16177, 543, 2182, 960, 780, 2171, 786, 581, 6126, 547, 5873, 707, 4555, 692, 28723, 9185, 20113, 609, 10298, 7300, 0, 258, 17438, 692, 3528, 5345, 2102, 807, 834, 297, 10154, 257, 21193, 880, 1231, 10798, 320, 543, 5548, 2033, 344, 21081, 714, 334, 5336, 871, 20044, 773, 692, 763, 5506, 540, 606, 2680, 4267, 519, 2243, 267, 875, 2693, 568, 621, 602, 713, 2680, 786, 2049, 286, 898, 568, 513, 1297, 1063, 476, 271, 543, 476, 272, 267, 609, 476, 271, 2495, 834, 10472, 2680, 568, 7543, 2437, 543, 476, 272, 2495, 834, 10472, 2680, 786, 6157, 2049, 1701, 634, 5506, 540, 513, 4023, 11777, 13941, 9843, 909, 568, 476, 272, 270, 273, 267, 1247, 519, 5506, 540, 621, 13941, 9843, 610, 21217, 568, 476, 272, 630, 26238, 1169, 942, 649, 16212, 621, 267, 621, 1590, 581, 9843, 610, 21217, 1040, 1284, 666, 2328, 713, 607, 1269, 303, 263, 295, 264, 815, 476, 272, 270, 273, 259, 543, 1269, 303, 263, 295, 20728, 346, 610, 7684, 307, 264, 815, 476, 272, 10608, 1403, 649, 4584, 513, 3440, 14477, 689, 513, 9126, 602, 814, 476, 1428, 3043, 543, 476, 1789, 2699, 11084, 267, 1287, 519, 5506, 540, 5373, 513, 2699, 3440, 568, 476, 273, 270, 274, 780, 1103, 2489, 267, 649, 723, 1269, 303, 10490, 20728, 346, 610, 7684, 289, 264, 815, 623, 10490, 264, 1341, 623, 16360, 264, 910, 623, 10490, 20728, 346, 543, 7684, 645, 30879, 5565, 2621, 616, 20102, 12600, 952, 789, 3112, 1312, 2049, 693, 519, 1482, 942, 267, 865, 1269, 303, 10490, 20728, 346, 543, 7684, 289, 264, 815, 476, 271, 10608, 769, 602, 2013, 267, 519, 5506, 540, 835, 540, 519, 1079, 8345, 568, 1175, 519, 2040, 540, 741, 1367, 17831, 281, 1269, 303, 10490, 20728, 346, 610, 7684, 289, 264, 815, 623, 10490, 264, 1341, 623, 16360, 30879, 1280, 3236, 267, 513, 5884, 3112, 2244, 1312, 476, 272, 909, 543, 476, 276, 909, 267, 865, 1269, 303, 263, 272, 20728, 346, 610, 7684, 276, 264, 815, 623, 263, 272, 264, 1341, 623, 263, 276, 264, 815, 476, 272, 270, 274, 10608, 589, 1305, 540, 2621, 568, 29882, 952, 835, 540, 873, 1590, 2049, 269, 634, 2040, 540, 741, 17831, 568, 693, 2547, 476, 272, 267, 552, 3052, 269, 1269, 303, 263, 295, 264, 1341, 623, 263, 295, 1422, 3667, 346, 610, 7684, 570, 264, 815, 476, 272, 269, 276, 10608, 634, 2040, 540, 519, 17831, 540, 513, 1305, 540, 20102, 12600, 543, 29882, 2621, 568, 476, 272, 269, 769, 1880, 267, 1269, 292, 259, 543, 711, 1269, 292, 259, 616, 4573, 958, 12600, 543, 29882, 267, 538, 799, 2013, 713, 4341, 3081, 602, 606, 2680, 1590, 2901, 4755, 610, 711, 4755, 281 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 2229, 7270, 2356, 1439, 538, 269, 979, 341, 610, 563, 628, 748, 663, 269, 6969, 596, 2671, 6213, 1344, 267, 1118, 2386, 596, 2811, 593, 513, 5313, 2229, 3135, 269, 22078, 16281, 3502, 1154, 5069, 10748, 7480, 4437, 32441, 3194, 5149, 267, 20513, 540, 11916, 7070, 267, 2160, 540, 3502, 1154, 5069, 267, 5177, 6520, 5829, 6217, 2530, 568, 606, 5051, 1271, 1857, 1072, 1966, 7133, 5111, 476, 2412, 260, 540, 1004, 9907, 476, 4649, 547, 476, 10619, 7868, 1292, 4791, 2359, 6304, 585, 1004, 609, 6217, 2530, 568, 6217, 11226, 282, 2705, 267, 519, 5354, 630, 3199, 8472, 540, 4079, 9907, 476, 4649, 547, 476, 10619, 945, 1131, 4324, 689, 513, 6217, 5351, 798, 711, 946, 873, 269, 769, 1840, 267, 1082, 1004, 945, 4309, 513, 6217, 5351, 798, 711, 946, 621, 563, 763, 6662, 729, 547, 2445, 2139, 2963, 593, 519, 2009, 4128, 585, 519, 1875, 14025, 540, 6217, 11226, 1851, 1004, 945, 723, 1044, 19034, 609, 693, 2547, 835, 269, 4578, 941, 6394, 1210, 513, 1085, 14563, 1353, 269, 1323, 29882, 3406, 4640, 4857, 476, 1015, 4930, 602, 4080, 519, 4128, 1946, 789, 941, 711, 1031, 269, 634, 1034, 1271, 2152, 1644, 547, 519, 1871, 540, 6217, 11226, 27260, 763, 6217, 5351, 1281, 711, 1683, 6190, 2640, 543, 4313, 1644, 547, 519, 946, 540, 519, 6217, 5351, 269, 11790, 7133, 519, 946, 540, 6217, 11226, 991, 547, 581, 4857, 538, 1931, 547, 1374, 3617, 14317, 2994, 547, 2327, 3152, 946, 540, 6217, 11226, 269, 769, 519, 476, 2735, 271, 338, 630, 527, 729, 1354, 3059, 6217, 11226, 1070, 538, 513, 1246, 5346, 1353, 540, 476, 5611, 1004, 945, 1185, 513, 6217, 5351, 8704, 538, 18940, 267, 476, 2537, 260, 4080, 602, 789, 1185, 2760, 1031, 519, 6217, 5351, 1079, 1296, 1310, 8380, 621, 593, 630, 306, 528, 686, 1696, 620, 267, 476, 2735, 7868, 4128, 2016, 3769, 2042, 609, 7829, 519, 6217, 5351, 543, 1906, 3255, 547, 2911, 547, 1866, 269, 15588, 338, 630, 2735, 264, 849, 1336, 602, 519, 4128, 2016, 585, 711, 9849, 6217, 11226, 3769, 7411, 29780, 519, 1274, 9044, 267, 7411, 12003, 609, 6846, 6786, 267, 3668, 540, 6284, 540, 6217, 2530, 267, 2025, 2085, 543, 4057, 1072, 267, 543, 513, 1875, 268, 728, 531, 9542, 540, 519, 6217, 5351, 547, 6217, 2530, 563, 2791, 1223, 2503, 602, 3592, 1614, 5756, 2663, 267, 519, 4128, 585, 711, 1210, 6217, 11226, 1131, 581, 1360, 1114, 267, 2523, 6236, 519, 9283, 538, 6217, 11226, 602, 616, 7363, 2139, 269, 7913, 6217, 11226, 1631, 2709, 513, 1297, 540, 5383, 936, 12746, 6217, 11226, 267, 1519, 2799, 4313, 267, 3059, 5955, 5786, 267, 3059, 6846, 5786, 267, 4824, 3059, 4633, 267, 13128, 15175, 540, 6947, 3292, 267, 4287, 531, 2890, 10746, 543, 6552, 8060, 267, 607, 1134, 607, 513, 4130, 2450, 543, 1930, 3514, 1374, 269, 634, 2640, 540, 3059, 6217, 11226, 849, 1331, 4824, 3280, 2298, 267, 2789, 6947, 3292, 585, 1114, 6947, 5054, 267, 1489, 585, 6552, 1852, 3681, 267, 543, 8112, 538, 4908, 267, 13496, 543, 2744, 12879, 630, 291, 32713, 267, 476, 1220, 269, 1306, 971, 267, 24384, 5505, 1631, 723, 3152, 8112, 538, 7446, 519, 1318, 2029, 585, 519, 2115, 540, 4587, 4079, 563, 8601, 9283, 538, 6217, 11226, 267, 6165, 3788, 1970, 543, 896, 14025, 540, 6217, 11226, 1851, 4587, 4079, 3788, 513, 2101, 6161, 269, 634, 946, 540, 6217, 11226, 814, 1044, 1336, 547, 2087, 2298, 540, 1272, 2042, 267, 4481, 547, 2087, 2792, 538, 3347, 282, 25055, 543, 14246, 538, 1920, 3347, 282, 3929, 6617, 282, 2631, 540, 1852, 936, 1272, 2621, 282, 8226, 540, 2790, 8647, 543, 2168, 1072, 630, 298, 5255, 7219, 267, 476, 1001, 28560, 513, 3461, 1281, 711, 946, 741, 6217, 11226, 267, 621, 1223, 1860, 741, 2298, 540, 1272, 543, 602, 540, 1866, 1472, 873, 267, 543, 621, 1223, 849, 2333, 741, 1981, 540, 4965, 543, 4160, 630, 294, 641, 514, 987, 1696, 620, 267, 476, 1220, 269, 769, 2477, 1141, 972, 568, 1569, 547, 2298, 2912, 8344, 2533, 267, 621, 568, 16122, 547, 8207, 1946, 1004, 798, 711, 946, 741, 6217, 11226, 630, 294, 537, 2993, 657, 4939, 2918, 4793, 340, 3960, 328, 267, 476, 1220, 269, 11790, 7133, 519, 946, 540, 6217, 11226, 991, 547, 581, 4857, 538, 1931, 547, 1374, 3617, 14317, 2994, 547, 2327, 3152, 946, 540, 6217, 11226, 563, 7197, 540, 519, 3332, 593, 519, 4128, 585, 711, 9849, 6217, 11226, 729, 3370, 1354, 519, 4367, 540, 3059, 6217, 11226, 538, 519, 5177, 781, 23244, 269, 4595, 3059, 6217, 11226, 941, 2966, 547, 2709, 4052, 543, 4791, 5383, 936, 12746, 6217, 11226, 267, 621, 1522, 581, 10257, 547, 2503, 606, 2333, 538, 519, 1297, 540, 1004, 1210, 873, 1282, 713, 1974, 269, 634, 4128, 616, 711, 2312, 607, 547, 1946, 930, 1004, 945, 991, 6217, 11226, 543, 945, 1378, 873, 798, 711, 946, 873, 269, 4475, 267, 621, 568, 2556, 547, 2689, 519, 3332, 540, 519, 2063, 8717, 547, 4983, 519, 4128, 1946, 6217, 11226, 616, 711, 1031, 563, 2171, 1223, 849, 2503, 513, 3017, 538, 519, 4128, 585, 1875, 14025, 1063, 4008, 543, 2085, 267, 6236, 602, 2021, 1867, 513, 2362, 9860, 540, 3232, 543, 2834, 946, 540, 6217, 11226, 630, 1805, 2801, 3559, 514, 1696, 620, 1421, 476, 1001, 267, 543, 918, 5255, 7219, 630, 1960, 264, 1336, 602, 4079, 9907, 476, 3374, 268, 4510, 941, 7466, 607, 2693, 547, 13712, 16663, 607, 513, 2601, 585, 7947, 513, 6217, 269, 948, 267, 3379, 547, 4079, 9907, 476, 4037, 547, 476, 10019, 20136, 2689, 8942, 547, 5531, 2139, 2963, 607, 547, 2009, 4128, 585, 1875, 14025, 540, 6217, 11226, 1851, 1004, 945, 723, 1044, 19034, 609, 6217, 11226, 543, 5267, 10862, 2127, 585, 2104, 1382, 1759, 593, 891, 4681, 269, 901, 1935, 729, 2808, 7850, 547, 2697, 519, 4143, 4128, 585, 519, 1875, 14025, 540, 6217, 11226, 602, 723, 1044, 4080, 538, 2090, 593, 519, 946, 540, 6217, 11226, 269, 8307, 2090, 3370, 2094, 476, 1220, 271, 941, 3769, 563, 2304, 3606, 3406, 540, 5680, 540, 3163, 729, 5645, 856, 602, 1705, 711, 1267, 538, 811, 4930, 269, 7612, 476, 272, 2982, 519, 4930, 4857, 538, 519, 2689, 1184, 269, 634, 9836, 3406, 540, 519, 32253, 5907, 6538, 26857, 476, 14028, 4930, 267, 540, 799, 476, 10619, 941, 2808, 5732, 3617, 1310, 2542, 519, 2140, 269, 14520, 3606, 2090, 941, 5833, 689, 519, 4704, 8638, 543, 267, 1310, 2542, 519, 476, 3199, 7493, 338, 267, 476, 2537, 4930, 941, 2808, 585, 2689, 563, 8170, 891, 476, 2537, 4930, 267, 1152, 476, 1015, 2965, 4080, 1022, 2601, 711, 547, 946, 6217, 11226, 282, 630, 1492, 824, 4930, 1152, 8947, 6165, 3928, 267, 2640, 267, 610, 4128, 1946, 6217, 11226, 941, 711, 12349, 1040, 1452, 941, 711, 5892, 4857, 1317, 267, 1310, 2542, 519, 7493, 338, 267, 621, 729, 711, 2943, 2312, 2436, 519, 6054, 3177, 1344, 593, 519, 4128, 585, 711, 1210, 6217, 11226, 267, 865, 621, 729, 2808, 26656, 547, 1224, 519, 2407, 2376, 269, 27607, 540, 519, 4557, 3803, 4930, 941, 849, 1336, 538, 5680, 540, 3163, 269, 634, 835, 602, 729, 711, 1336, 538, 5680, 540, 3163, 630, 298, 5255, 7219, 267, 476, 1220, 271, 264, 729, 849, 711, 1336, 538, 519, 32253, 3406, 630, 527, 729, 5833, 689, 513, 1592, 540, 8100, 1916, 12867, 1745, 8746, 602, 789, 723, 4988, 1034, 540, 519, 2487, 4081, 13746, 540, 1719, 950, 10478, 32253, 543, 5680, 540, 3163, 269, 10046, 24577, 547, 9414, 519, 2689, 1184, 269, 6206, 17972, 540, 32087, 27294, 630, 514, 11261, 11352, 1040, 30258, 711, 547, 946, 6217, 11226, 4857, 538, 782, 2090, 563, 8253, 782, 2090, 4080, 519, 942, 602, 814, 1714, 17863, 2094, 1004, 941, 19034, 609, 513, 6217, 5351, 269, 7324, 519, 2090, 602, 1705, 1867, 713, 267, 519, 942, 1974, 24132, 689, 3670, 3275, 630, 309, 340, 3645, 14833, 1696, 620, 267, 476, 1220, 264, 547, 1063, 5216, 543, 476, 1626, 1296, 630, 294, 1014, 641, 9567, 657, 1696, 620, 267, 476, 1220, 1040, 25392, 602, 4810, 6217, 5351, 3755, 616, 811, 2693, 547, 581, 13854, 609, 741, 6217, 5351, 982, 1007, 6217, 5351, 3755, 630, 298, 5255, 7219, 1696, 620, 267, 476, 736, 1070, 519, 942, 1714, 17863, 2094, 513, 6217, 5351, 729, 5116, 593, 873, 949, 723, 6286, 538, 2474, 540, 519, 4128, 1946, 789, 616, 711, 1031, 269, 1323, 1271, 3390, 4667, 547, 581, 1644, 547, 519, 1416, 543, 5826, 540, 519, 6217, 5351, 543, 8261, 32609, 614, 640, 563, 7197, 1004, 609, 6217, 11226, 616, 4587, 4079, 543, 267, 607, 513, 1267, 267, 949, 723, 2042, 5665, 519, 3926, 1813, 547, 7687, 538, 8261, 32609, 614, 640, 630, 11293, 828, 267, 476, 1220, 269, 24651, 11226, 616, 2864, 1507, 543, 7294, 3457, 630, 1729, 1118, 519, 3926, 1447, 7298, 543, 2569, 6161, 827, 519, 5920, 540, 519, 6217, 5351, 1070, 2705, 267, 713, 814, 1044, 547, 519, 1033, 337, 2939, 540, 8261, 32609, 614, 640, 269, 1403, 519, 6217, 5351, 3593, 568, 8572, 547, 7696, 267, 4894, 543, 6023, 519, 6217, 11226, 7157, 267, 789, 616, 1447, 2693, 547, 5957, 873, 269, 3509, 1004, 991, 948, 4657, 9075, 610, 14577, 519, 4320, 1852, 1317, 519, 3866, 338, 616, 865, 13943, 563, 2005, 814, 1044, 1336, 602, 1256, 4810, 6217, 5351, 3755, 798, 711, 3833, 1174, 875, 547, 946, 741, 6217, 11226, 630, 5327, 329, 731, 1231, 4939, 2918, 1684, 615, 1399, 267, 476, 1220, 269, 4475, 267, 621, 568, 1271, 547, 6218, 519, 3461, 781, 2702, 547, 946, 741, 6217, 11226, 269, 2290, 540, 519, 1292, 4128, 1004, 1810, 1405, 946, 741, 6217, 11226, 950, 789, 2811, 11311, 4667, 547, 581, 1317, 540, 9636, 610, 789, 1810, 1405, 917, 875, 547, 5957, 873, 7157, 269, 1452, 4128, 1058, 581, 5266, 2241, 585, 13500, 547, 1521, 267, 4180, 602, 519, 6217, 5351, 17501, 1184, 568, 10483, 676, 5796, 543, 1489, 689, 519, 24384, 6048, 538, 2013, 540, 2042, 630, 289, 1068, 10008, 1696, 620, 267, 476, 1220, 563, 5278, 3173, 723, 13175, 547, 2232, 713, 3390, 269, 674, 31867, 517, 1696, 620, 269, 630, 1001, 1070, 998, 513, 29355, 1935, 267, 1336, 602, 1072, 4648, 543, 6217, 5351, 3755, 4857, 4052, 3584, 971, 607, 29780, 543, 9427, 6217, 11226, 267, 3252, 543, 5826, 540, 6217, 11226, 607, 1883, 547, 4543, 1007, 6217, 5351, 649, 31600, 547, 4603, 269, 1306, 513, 1267, 267, 789, 723, 2919, 606, 7317, 3381, 5850, 609, 519, 2832, 540, 3850, 2550, 547, 15849, 30968, 4143, 1344, 693, 741, 13418, 538, 741, 1378, 1753, 563, 1607, 1223, 6961, 1360, 3407, 547, 1101, 6066, 6217, 5351, 3755, 267, 607, 717, 1014, 641, 9567, 657, 1696, 620, 630, 1220, 264, 1336, 602, 1034, 1875, 268, 22852, 15653, 741, 6217, 11226, 585, 4128, 602, 1450, 1732, 2866, 538, 519, 946, 540, 519, 6217, 5351, 269, 4329, 14317, 1223, 1445, 593, 519, 2042, 602, 6217, 5351, 649, 31600, 723, 547, 1020, 1367, 2359, 4566, 267, 543, 621, 814, 1044, 6700, 602, 1246, 5346, 20499, 835, 1032, 1310, 6217, 5351, 13307, 616, 7850, 547, 3382, 14317, 2042, 543, 2087, 6165, 3928, 630, 294, 17344, 1231, 4939, 2918, 4303, 267, 476, 1220, 269, 898, 4667, 602, 267, 538, 2474, 540, 2810, 519, 946, 540, 6217, 11226, 267, 1489, 543, 5796, 949, 581, 811, 1271, 982, 7199, 2413, 2029, 630, 294, 1014, 641, 9567, 657, 1696, 620, 267, 476, 1220, 269, 966, 340, 3645, 14833, 1696, 620, 563, 263, 1220, 264, 1336, 602, 1246, 5346, 5796, 593, 519, 946, 540, 6217, 11226, 666, 3648, 2333, 519, 4324, 6591, 689, 513, 6217, 5351, 269, 1548, 568, 4277, 547, 4063, 568, 602, 835, 1353, 630, 298, 5255, 7219, 267, 476, 1220, 271, 264, 4080, 602, 1004, 1185, 4145, 609, 1072, 4648, 1317, 789, 1185, 4607, 4057, 3028, 689, 741, 7006, 27660, 610, 1185, 25295, 6788, 540, 519, 6217, 5351, 269, 634, 1655, 2853, 6964, 676, 6217, 1072, 4648, 1404, 606, 1271, 1909, 538, 519, 1967, 540, 519, 3461, 781, 1995, 543, 3460, 609, 6217, 11226, 630, 298, 5255, 7219, 1696, 620, 267, 476, 736, 269, 4475, 267, 621, 568, 1271, 602, 3617, 1489, 267, 1344, 543, 5796, 581, 3177, 693, 519, 942, 540, 17501, 519, 6217, 5351, 563, 295, 2788, 540, 519, 2090, 4080, 2883, 4128, 585, 711, 1210, 6217, 11226, 269, 8307, 835, 1353, 729, 5342, 538, 519, 5177, 267, 1141, 2564, 1416, 568, 1863, 693, 519, 1448, 540, 6765 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 1103, 32081, 10334, 713, 3018, 281, 16023, 5829, 5444, 4082, 538, 22959, 267, 2582, 16052, 10717, 15971, 540, 29296, 4551, 543, 741, 14747, 267, 543, 811, 563, 22746, 606, 693, 20393, 1223, 5512, 22602, 547, 1174, 875, 4719, 14726, 1764, 2068, 1981, 267, 5581, 3075, 6757, 885, 267, 2087, 11257, 267, 543, 4434, 27532, 4915, 563, 763, 23492, 568, 22745, 606, 6293, 602, 786, 1184, 909, 547, 476, 1015, 267, 1822, 2582, 2281, 585, 5027, 15971, 607, 1134, 607, 513, 8470, 602, 786, 3077, 7537, 299, 6090, 563, 288, 1007, 1305, 540, 4574, 8761, 513, 2039, 540, 5444, 4082, 4623, 6203, 267, 4857, 1210, 5215, 540, 5439, 6394, 585, 519, 2637, 9189, 6874, 22568, 20309, 1788, 563, 763, 3173, 1544, 547, 6218, 32647, 19091, 543, 2582, 2281, 9678, 689, 519, 10729, 540, 2550, 945, 723, 1185, 8459, 1098, 17852, 547, 2697, 4191, 540, 21910, 5821, 563, 1103, 3163, 713, 3018, 281, 3504, 3026, 6387, 11209, 543, 1480, 25450, 267, 543, 811, 563, 1103, 32081, 10334, 713, 3018, 281, 12985, 1935, 585, 7421, 26776, 2582, 16052, 15971, 12632, 267, 552, 304, 26950, 338, 540, 8920, 730, 6315, 3912, 14527, 267, 543, 811, 563, 1103, 3163, 713, 3018, 281, 6120, 5268, 2812, 7048, 593, 2890, 11748, 547, 2149, 1996, 5761, 6553, 267, 543, 811, 563, 763, 1062, 3096, 2890, 22381, 573, 923, 543, 1483, 6066, 3239, 2079, 547, 20586, 2582, 2281, 543, 1683, 3308, 12319, 540, 1395, 16438, 517, 1275, 563, 10932, 2516, 689, 519, 16340, 4659, 543, 519, 2160, 540, 6115, 723, 2919, 10873, 547, 5311, 10717, 689, 1804, 2338, 540, 2582, 22140, 543, 2582, 2281, 563, 2537, 663, 9288, 814, 513, 9702, 1402, 1575, 6300, 693, 513, 32041, 543, 1223, 1930, 3606, 8637, 267, 25204, 6199, 5359, 563, 3528, 4974, 32748, 531, 553, 543, 513, 1427, 22201, 6400, 602, 3468, 338, 873, 267, 3173, 949, 723, 20114, 513, 1007, 4990, 540, 1412, 14545, 3210, 262, 602, 4386, 693, 519, 22308, 1377, 267, 3397, 775, 5333, 3465, 572, 5359, 563, 301, 11266, 5359, 602, 519, 1101, 1268, 538, 519, 2475, 2016, 513, 5444, 11049, 2861, 3797, 585, 513, 4719, 4524, 568, 16144, 1753, 563, 1103, 3163, 713, 3018, 281, 3504, 25450, 7866, 1514, 8635, 1369, 1367, 10820, 267, 1007, 1505, 585, 3067, 4328, 4719, 8390, 538, 5444, 18262, 267, 543, 811, 269, 0, 288, 1713, 2179, 540, 960, 814, 1044, 2944, 865, 2484, 593, 519, 812, 22974, 689, 519, 620, 4141, 17870, 269, 769, 6476, 267, 1382, 593, 824, 620, 4141, 17870, 30713, 30828, 814, 1044, 26742, 19631, 543, 1256, 7864, 3646, 723, 1044, 1500, 547, 5659, 519, 30713, 30828, 538, 519, 678, 785, 269, 898, 568, 2312, 602, 1454, 4674, 568, 2877, 538, 713, 2543, 563, 10521, 2934, 540, 519, 812, 22974, 267, 519, 623, 272, 9745, 476, 275, 3095, 720, 543, 1035, 1214, 3175, 267, 616, 3810, 24721, 1851, 782, 1325, 4141, 2249, 269, 31056, 7648, 2291, 3823, 519, 4527, 540, 824, 14836, 267, 5097, 7280, 543, 519, 4110, 540, 1035, 1214, 3175, 269, 634, 1382, 865, 2484, 9244, 5267, 602, 972, 616, 1079, 2010, 540, 812, 333, 753, 538, 519, 17870, 267, 513, 6986, 812, 22974, 602, 568, 9247, 1863, 540, 7280, 543, 1776, 812, 22974, 630, 6921, 1075, 558, 2335, 534, 264, 602, 3568, 1585, 5666, 540, 7280, 267, 6148, 2059, 609, 824, 14836, 269, 13518, 4674, 568, 1869, 2877, 547, 3313, 17114, 540, 891, 1079, 2010, 540, 812, 333, 753, 538, 1022, 2016, 1325, 4141, 2249, 543, 519, 3604, 538, 3114, 543, 6211, 3601, 1063, 873, 269, 15845, 814, 6700, 602, 519, 812, 22974, 610, 6722, 558, 2335, 534, 609, 513, 1970, 7280, 1543, 568, 811, 8185, 1035, 1214, 3836, 982, 519, 6722, 558, 2335, 534, 609, 513, 1164, 7280, 1543, 563, 292, 742, 677, 568, 849, 2877, 547, 2697, 543, 20586, 519, 11476, 3238, 538, 519, 10282, 543, 14842, 540, 519, 812, 22974, 269, 6270, 1344, 568, 2629, 547, 1174, 519, 4087, 540, 922, 10282, 543, 875, 519, 3114, 543, 6198, 3601, 540, 519, 812, 22974, 568, 6417, 563, 24078, 713, 2376, 5363, 286, 0, 13286, 13063, 1419, 2099, 835, 3044, 11539, 540, 10462, 267, 835, 547, 2132, 547, 519, 13972, 4216, 269, 31400, 23680, 513, 31400, 595, 30327, 16253, 1871, 610, 513, 4542, 547, 1521, 782, 1239, 2798, 8449, 269, 634, 1611, 729, 7229, 585, 1142, 2837, 19587, 13063, 12582, 1405, 16937, 269, 1467, 2511, 267, 15262, 3090, 267, 543, 2681, 563, 3719, 875, 798, 596, 713, 609, 5470, 13063, 269, 1403, 596, 798, 711, 1616, 547, 2721, 606, 5470, 3046, 5470, 5291, 2517, 28186, 275, 1952, 338, 2593, 270, 19587, 1532, 1513, 4882, 9407, 24376, 3562, 268, 7120, 268, 20598, 268, 19587, 1532, 1513, 21703, 543, 2179, 540, 519, 5470, 2039, 269, 875, 1215, 1677, 8571, 18438, 645, 1513, 1635, 7435, 1548, 798, 596, 5470, 8663, 12169, 267, 20482, 10086, 18118, 310, 5954, 3299, 273, 264, 23403, 513, 1899, 8700, 540, 476, 273, 2798, 7868, 3601, 7396, 1934, 616, 1152, 513, 15410, 269, 5470, 454, 22949, 20099, 15411, 14644, 8620, 10321, 1535, 543, 586, 269, 7151, 281, 5470, 8663, 3287, 11971, 267, 20482, 10086, 22479, 23917, 3299, 1015, 264, 1412, 18118, 310, 5954, 262, 4534, 7412, 8700, 271, 269, 276, 630, 29239, 264, 1923, 2318, 1990, 584, 2763, 527, 562, 32218, 2357, 325, 6686, 326, 8663, 269, 1411, 666, 14574, 1896, 2012, 543, 1871, 6292, 7440, 538, 1022, 1931, 607, 8745, 272, 267, 19368, 272, 267, 24222, 11243, 301, 267, 19368, 301, 269, 7078, 281, 547, 2357, 541, 18464, 564, 2483, 288, 3113, 6029, 1611, 543, 12676, 5470, 3046, 568, 1447, 13181, 982, 1022, 540, 5702, 519, 1797, 616, 2693, 547, 2992, 519, 3020, 2418, 269, 7024, 835, 5470, 8663, 1843, 829, 6241, 538, 586, 269, 1548, 3657, 18438, 645, 1513, 1677, 1265, 543, 2490, 593, 18438, 645, 1513, 538, 9185, 476, 1220, 278, 268, 1001, 271, 267, 2824, 519, 5750, 267, 1287, 4945, 5658, 518, 1210, 2012, 17032, 6292, 7440, 15030, 2273, 454, 5445, 6460, 513, 3761, 5008, 564, 883, 606, 4203, 10740, 267, 24011, 1358, 6460, 513, 3761, 5008, 564, 883, 606, 4203, 10740, 267, 24011, 2755, 649, 941, 2111, 547, 946, 513, 1599, 547, 2047, 5173, 1250, 3210, 519, 5811, 1895, 267, 4945, 18438, 645, 1513, 267, 543, 1287, 4945, 7183, 16638, 713, 1383, 267, 621, 1131, 581, 513, 1655, 7058, 693, 663, 5580, 13080, 540, 519, 7299, 5470, 13063, 267, 6606, 269, 543, 707, 5470, 3046, 1239, 563, 24092, 11539, 609, 9138, 18440, 13286, 540, 519, 6399, 3436, 31876, 281, 1879, 547, 4729, 12676, 5288, 28560, 713, 568, 513, 5750, 1966, 1107, 596, 1590, 5581, 1215, 1677, 12433, 18438, 645, 1513, 11289, 596, 31400, 3627, 5500, 3081, 281, 2904, 476, 276, 267, 476, 1001, 277, 8564, 519, 1826, 540, 5470, 9819, 596, 1616, 267, 326, 601, 23565, 2483, 1103, 713, 2013, 267, 519, 1655, 1935, 568, 547, 4729, 519, 476, 4817, 260, 6015, 21156, 267, 596, 991, 547, 946, 513, 7274, 1572, 519, 834, 20598, 5470, 2580, 610, 10323, 267, 799, 568, 1721, 519, 31901, 11539, 540, 9038, 6972, 267, 8951, 6972, 267, 3092, 269, 2690, 1383, 267, 1412, 22479, 23917, 3299, 1015, 5036, 519, 13080, 540, 519, 11503, 4729, 23120, 1565, 1413, 693, 713, 3135, 547, 1923, 24610, 14645, 2160, 540, 15930, 267, 476, 1220, 278, 1411, 949, 3095, 547, 713, 3135, 585, 3872, 5301, 563, 763, 1267, 568, 2901, 1100, 5470, 13063, 593, 723, 7229, 519, 1797, 543, 1250, 31901, 1821, 540, 1250, 1239, 2798, 269, 1467, 543, 711, 519, 5470, 13063, 269, 3044, 5470, 9428, 4130, 607, 519, 1297, 540, 7403, 630, 301, 264, 9428, 3677, 269, 2304, 17745, 6577, 1855, 559, 523, 2725, 15590, 9253, 323, 2940, 2416, 281, 589, 3593, 6741, 322, 1881, 6871, 540, 1142, 1239, 1448, 563, 296, 1616, 547, 1689, 1142, 540, 519, 476, 277, 13063, 14350, 547, 519, 15873, 15689, 4216, 267, 543, 1287, 4945, 519, 5750, 3693, 602, 596, 1616, 269, 2311, 910, 4198, 5232, 267, 519, 1648, 2418, 630, 19651, 526, 5271, 2747, 5470, 2179, 585, 782, 2418, 13034, 514, 345, 18860, 6686, 2102, 631, 7238, 577, 11687, 5918, 10523, 525, 15953, 950, 586, 568, 513, 6152, 269, 676, 1210, 519, 20724, 2207, 17803, 1599, 538, 9185, 563, 1692, 666, 875, 1772, 519, 4336, 540, 543, 1439, 2511, 602, 596, 1616, 547, 946, 269, 9208, 8061, 2747, 18438, 645, 1513, 9185, 855, 1934, 616, 513, 1906, 2055, 602, 1522, 1448, 596, 538, 513, 3730, 4287, 281, 476, 272, 563, 10674, 2517, 28186, 275, 1952, 338, 2593, 270, 19587, 1532, 1513, 4882, 1828, 268, 11743, 7146, 268, 20598, 268, 19587, 268, 7120, 21703, 2418, 267, 1287, 5299, 713, 4542, 883, 519, 2281, 595, 9262, 267, 3092, 269, 2691, 519, 5470, 13063, 12835, 568, 5697, 267, 606, 18438, 4446, 454, 19587, 540, 519, 1611, 630, 306, 4932, 21663, 1607, 1259, 519, 2189, 3044, 5470, 3044, 18564, 519, 2039, 540, 1648, 2418, 875, 593, 519, 5750, 1826, 540, 707, 5750, 563, 2252, 596, 798, 711, 1616, 547, 2721, 519, 5580, 851, 540, 519, 18438, 645, 1513, 769, 9185, 476, 1001, 274, 681, 310, 476, 276, 270, 1626, 270, 4962, 1975, 7564, 614, 2144, 27903, 333, 808, 28856, 339, 8350, 523, 13096, 839, 577, 583, 30795, 514, 933, 529, 24166, 1492, 18438, 645, 1513, 2638, 7901, 269, 9616, 602, 891, 1079, 3866, 9233, 1450, 596, 547, 1374, 622, 1022, 4976, 6241, 607, 606, 2924, 11603, 563, 1103, 519, 13972, 4216, 596, 666, 4283, 606, 6207, 1952, 792, 538, 1022, 1931, 269, 7078, 19587, 8663, 18692, 343, 11971, 11971, 10864, 11971, 1842, 21726, 10864, 21726, 1842, 264, 13602, 586, 8957, 1535, 1691, 269, 273, 269, 274, 296, 1397, 596, 875, 547, 1039, 3044, 5470, 13063, 547, 513, 6241, 3113, 269, 5445, 2285, 513, 2489, 2856, 540, 875, 5730, 513, 6482, 568, 267, 610, 598, 14287, 267, 12895, 538, 9185, 10378, 2866, 20471, 267, 9170, 563, 16521, 519, 2511, 2638, 621, 856, 782, 1250, 3044, 11539, 2418, 17085, 1157, 2859, 18169, 547, 1930, 519, 14474, 18438, 645, 1513, 17130, 623, 2033, 7868, 5470, 13063, 585, 476, 274, 291, 13602, 616, 1152, 2139, 585, 519, 2098, 4287, 267, 1879, 596, 616, 1548, 1684, 18438, 645, 1513, 8058, 476, 271, 269, 275, 267, 476, 271, 269, 274, 267, 476, 271, 269, 279, 563, 12812, 2859, 18438, 4446, 18169, 267, 543, 1287, 896, 26432, 18438, 645, 1513, 610, 21222, 7267, 901, 7194, 5829, 2376, 1492, 15262, 2450, 538, 2798, 7868, 1434, 3377, 568, 267, 596, 2907, 917, 693, 476, 272, 281, 5379, 993, 15020, 3730, 267, 7064, 585, 707, 942, 2336, 2252, 596, 798, 711, 1616, 547, 2721, 519, 1318, 851, 540, 519, 786, 2408, 538, 519, 5590, 28758, 18880, 13972, 269, 2201, 519, 14474, 9184, 267, 538, 519, 7351, 19139, 1895, 267, 4945, 519, 15561, 1985, 20598, 5470, 543, 519, 851, 540, 519, 3046, 2630, 4564, 14263, 835, 3044, 5470, 269, 5470, 654, 2273, 11426, 18438, 645, 1513, 9185, 693, 519, 1283, 540, 519, 6241, 267, 713, 1522, 581, 519, 2013, 269, 3044, 4964, 5470, 18438, 1267, 602, 594, 991, 585, 1142, 1367, 1239, 1448, 563, 19587, 2010, 281, 9208, 18438, 1107, 2598, 680, 904, 3044, 5470, 2179, 585, 782, 2418, 269, 3689, 596, 723, 547, 5173, 519, 6258, 811, 1411, 2811, 1215, 1677, 8571, 18438, 645, 1513, 585, 1312, 2318, 543, 2942, 2418, 16638, 1931, 547, 2022, 8292, 267, 5225, 1118, 2386, 1415, 821, 2324, 609, 1950, 1239, 267, 6655, 741, 1344, 609, 3308, 1764, 543, 9355, 563, 296, 1294, 1100, 5413, 547, 28321, 513, 1611, 543, 12676, 2864, 1772, 519, 1267, 538, 519, 875, 15689, 29502, 547, 1930, 519, 8038, 13050, 1592, 540, 2638, 7901, 525, 269, 547, 594, 1616, 547, 4283, 513, 1591, 2039, 602, 3568, 606, 1492, 15262, 7291, 543, 9703, 4778, 267, 6606, 269, 9779, 974, 2613, 31866, 15074, 23565, 2483, 763, 4611, 5470, 13063, 267, 1058, 581, 476, 1001, 274, 593, 519, 8837, 476, 278, 13013, 269, 13660, 737, 2335, 560, 10523, 324, 519, 10066, 540, 519, 5470, 13063, 269, 769, 476, 274, 291, 11708, 267, 1879, 519, 22731, 4729, 12835, 568, 5697, 593, 519, 2451, 8470, 811, 7403, 543, 16756, 519, 3044, 5470, 2529, 29347, 1518, 519, 2418, 543, 14405, 1312, 8880, 543, 7299, 5470, 13063, 563, 1314, 267, 13090, 264, 5932, 519, 4729, 538, 519, 17887, 5918, 10523, 525, 11473, 1990, 340, 552, 10719, 7591, 4289, 554, 514, 345, 18860, 6686, 2102, 269, 5440, 540, 8525, 9523, 1412, 3200, 673, 3299, 799, 14405, 7299, 5470 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 4473, 540, 5375, 3310, 936, 519, 3148, 267, 693, 519, 2490, 540, 519, 476, 866, 628, 11416, 267, 2394, 519, 5767, 30385, 2639, 29994, 9676, 4639, 13243, 1282, 519, 476, 3707, 279, 2112, 267, 543, 24648, 958, 13026, 543, 24509, 539, 5101, 13243, 538, 476, 3422, 278, 538, 15333, 3685, 547, 3486, 1876, 543, 1133, 21368, 269, 4595, 1287, 267, 18303, 3800, 910, 1519, 519, 24509, 566, 540, 11105, 2244, 267, 585, 24862, 12761, 267, 1753, 23542, 1431, 267, 519, 4070, 540, 513, 1164, 6405, 9668, 9931, 593, 13026, 11182, 543, 519, 946, 540, 30385, 2639, 763, 4639, 7813, 568, 513, 2244, 2000, 18088, 1858, 20177, 1055, 676, 5840, 547, 922, 5087, 267, 5045, 543, 7178, 282, 543, 16888, 547, 519, 5101, 269, 898, 729, 7357, 13026, 676, 5840, 538, 476, 3422, 278, 630, 10175, 5101, 13243, 1070, 609, 936, 476, 1220, 17260, 10363, 3710, 2221, 5885, 513, 2698, 6014, 2551, 540, 936, 476, 7785, 269, 1822, 269, 5840, 814, 2417, 24509, 539, 5215, 540, 25614, 30385, 2639, 19400, 938, 5606, 4919, 454, 9213, 476, 6924, 267, 276, 2929, 1004, 616, 585, 322, 4601, 19774, 5001, 607, 513, 1267, 540, 4655, 267, 20655, 267, 5208, 267, 610, 1480, 2924, 19374, 269, 7316, 1281, 519, 631, 6511, 3148, 1796, 286, 13772, 938, 1102, 4919, 2336, 4002, 4873, 476, 276, 267, 476, 1001, 278, 267, 18142, 17936, 543, 922, 16167, 15840, 1778, 267, 5527, 543, 519, 2136, 6259, 2506, 29521, 630, 308, 20067, 264, 9307, 3592, 8195, 602, 789, 941, 1812, 532, 20320, 13218, 609, 1627, 20345, 269, 2290, 1032, 1310, 519, 1376, 540, 519, 7887, 20320, 6433, 538, 519, 13323, 267, 945, 568, 519, 16771, 286, 13772, 938, 1102, 4919, 2336, 3080, 16323, 267, 3509, 26479, 0, 31640, 2052, 26248, 4365, 666, 1711, 1164, 5757, 2157, 454, 14106, 6002, 543, 7264, 540, 2052, 26248, 616, 1373, 24016, 547, 2638, 519, 4365, 2175, 1354, 789, 1491, 6472, 2282, 610, 5196, 2101, 5757, 321, 2644, 267, 3226, 519, 654, 2727, 752, 541, 21105, 563, 1607, 4832, 267, 972, 723, 1044, 1896, 8320, 540, 1004, 1373, 3144, 676, 9983, 676, 8375, 5757, 2157, 693, 2442, 18883, 9634, 4611, 538, 11324, 1132, 563, 4002, 519, 654, 2727, 752, 541, 21105, 5211, 972, 616, 1082, 5757, 5523, 1569, 2798, 1107, 971, 607, 918, 2967, 777, 16211, 6816, 267, 670, 4954, 10003, 543, 14250, 338, 10003, 910, 1141, 6472, 666, 5732, 1831, 18843, 539, 676, 8375, 5757, 2157, 563, 5319, 1444, 2052, 26248, 5757, 4702, 1291, 267, 32599, 684, 15966, 571, 1188, 523, 267, 1767, 1804, 8933, 971, 607, 519, 654, 2727, 752, 541, 21105, 1223, 4473, 6385, 5103, 972, 1373, 1100, 11811, 593, 519, 2052, 26248, 26111, 563, 2005, 568, 711, 16613, 585, 519, 1216, 1377, 547, 2333, 811, 982, 476, 272, 332, 538, 1447, 982, 606, 5662, 543, 713, 1223, 4755, 5488, 519, 2417, 19654, 596, 616, 563, 2108, 31640, 267, 1025, 755, 2044, 6862, 29891, 12798, 538, 2052, 26248, 3622, 1611, 621, 786, 581, 986, 1456, 593, 519, 4639, 11076, 7823, 9832, 267, 609, 4764, 838, 3739, 936, 883, 519, 2212, 31662, 540, 519, 654, 2727, 752, 541, 21105, 5211, 2223, 15966, 571, 1188, 523, 1767, 563, 2108, 5475, 713, 267, 621, 666, 1491, 909, 547, 476, 2190, 3108, 585, 519, 1216, 2157, 547, 4473, 538, 519, 2539, 10301, 540, 519, 5757, 1107, 543, 713, 666, 581, 513, 9983, 547, 1346, 945, 10093, 1406, 13761, 519, 4365, 543, 5757, 1344, 3034, 18250, 290, 571, 1188, 523, 9415, 3025, 4058, 547, 1569, 513, 2101, 2052, 26248, 5757, 1107, 1519, 519, 654, 2727, 752, 541, 21105, 267, 681, 10440, 807, 267, 543, 20613, 807, 340, 23117, 1107, 547, 2638, 519, 4365, 6619, 540, 741, 7552, 269, 5211, 2095, 543, 11811, 1239, 666, 581, 1336, 593, 5113, 2052, 26248, 779, 3896, 563, 2252, 972, 814, 1044, 811, 982, 476, 1911, 7825, 540, 4764, 693, 1488, 628, 2720, 10426, 267, 972, 568, 513, 1164, 10171, 540, 8375, 1216, 2157, 21945, 1369, 476, 2190, 3108, 19654, 593, 519, 654, 2727, 752, 541, 21105, 563, 14071, 1616, 1004, 547, 2972, 519, 4832, 4365, 267, 855, 789, 991, 547, 581, 3222, 540, 741, 10450, 543, 1491, 513, 3106, 23867, 1935, 3034, 2108, 13425, 519, 9472, 543, 5757, 1344, 602, 568, 2139, 267, 865, 596, 616, 1134, 5423, 585, 513, 1554, 693, 519, 5757, 543, 1491, 1880, 1416, 952, 6028, 513, 6174, 593, 610, 513, 2282, 513, 5757, 5127, 31422, 0, 13981, 9219, 543, 942, 454, 15916, 1684, 596, 917, 952, 972, 568, 513, 3992, 538, 23882, 585, 1565, 9219, 269, 6145, 476, 274, 269, 1428, 267, 476, 274, 269, 1789, 267, 476, 1015, 269, 2004, 3092, 269, 594, 1223, 711, 1265, 269, 11289, 596, 538, 4434, 2336, 9989, 333, 1405, 1169, 4182, 946, 519, 554, 327, 281, 7825, 3898, 286, 898, 949, 1689, 4470, 2390, 519, 6515, 281, 9536, 281, 344, 344, 630, 24629, 267, 1554, 267, 1032, 264, 3898, 563, 2252, 596, 1223, 1224, 513, 9219, 1631, 282, 596, 3513, 581, 5386, 563, 8170, 1576, 621, 814, 855, 621, 1281, 660, 1611, 602, 649, 2911, 827, 942, 519, 1482, 454, 274, 281, 3393, 538, 23882, 568, 585, 1383, 5067, 15255, 24140, 520, 549, 2367, 657, 524, 22115, 334, 3092, 7102, 3118, 1336, 519, 3070, 689, 6263, 11568, 4179, 2517, 339, 4176, 11568, 269, 706, 565, 22857, 2593, 270, 1372, 4242, 270, 275, 13070, 298, 298, 309, 4882, 20725, 1673, 919, 7146, 6066, 0, 2304, 3608, 669, 3739, 1062, 1510, 1022, 5007, 1648, 28453, 602, 5161, 540, 513, 1753, 3490, 267, 593, 799, 606, 5044, 540, 19923, 6289, 528, 16104, 609, 606, 1611, 8006, 9625, 1911, 6289, 10309, 543, 3259, 9625, 4335, 6289, 10309, 568, 7471, 547, 513, 1544, 541, 19923, 6094, 7260, 22862, 13961, 530, 29195, 2627, 267, 513, 15911, 267, 606, 26459, 3490, 267, 543, 513, 7535, 729, 2919, 269, 14333, 568, 11880, 527, 13124, 11843, 689, 519, 6289, 739, 4450, 22862, 3490, 1753, 3490, 547, 519, 5277, 538, 519, 7535, 998, 6127, 540, 14495, 3002, 6283, 269, 18001, 27327, 3576, 1283, 4919, 1448, 2282, 519, 6289, 739, 19099, 1753, 3490, 267, 1141, 519, 18616, 3323, 547, 10836, 1813, 547, 5493, 529, 1228, 2706, 17742, 269, 32686, 1076, 5250, 543, 19389, 23972, 3330, 519, 7535, 2813, 606, 1198, 783, 3002, 6283, 689, 519, 1753, 3490, 2627, 547, 519, 7535, 269, 634, 6592, 2627, 2837, 693, 14495, 5169, 729, 476, 9083, 269, 272, 288, 9180, 1510, 519, 6289, 739, 19099, 1753, 3490, 543, 621, 729, 6707, 8519, 547, 476, 1911, 288, 9180, 609, 519, 6165, 540, 6289, 739, 19099, 1753, 3490, 269, 769, 713, 5619, 267, 621, 568, 3254, 602, 513, 6289, 739, 19099, 2627, 4323, 666, 3180, 519, 2009, 547, 581, 606, 1198, 783, 1505, 540, 3926, 669, 3739, 585, 2370, 543, 538, 15453, 3002, 3142, 585, 2251, 2890, 1606, 2448, 3156, 971, 607, 2890, 3887, 937, 549, 24578, 22817, 1606, 2448, 338, 610, 2890, 3491, 25600, 563, 4415, 519, 9910, 4405, 5314, 540, 2890, 3491, 25600, 543, 2890, 7302, 2354, 267, 606, 2810, 12402, 538, 741, 1379, 16437, 8864, 568, 17149, 269, 1306, 513, 12343, 267, 972, 568, 606, 10296, 3747, 585, 2890, 3002, 29826, 609, 1970, 5687, 545, 11685, 269, 14755, 11418, 669, 3739, 267, 2890, 3002, 16173, 4702, 16310, 9060, 3156, 538, 2890, 3146, 716, 832, 267, 2890, 1790, 1886, 13955, 267, 24684, 267, 4492, 2281, 543, 2011, 14555, 563, 28959, 543, 5714, 2095, 630, 1312, 2582, 25686, 2095, 543, 13441, 14495, 3738, 538, 9145, 1446, 814, 1044, 14553, 6594, 547, 9585, 519, 1439, 540, 2362, 3002, 1121, 10056, 1698, 629, 30276, 338, 269, 21298, 267, 6289, 739, 19099, 7252, 723, 1044, 8246, 547, 9585, 1164, 3002, 6283, 1857, 6881, 1813, 547, 4463, 523, 3002, 6283, 2197, 543, 2318, 12343, 593, 3002, 6283, 14170, 609, 13302, 3259, 21783, 3349, 1496, 476, 272, 9948, 1547, 5015, 267, 6289, 739, 23461, 16310, 1683, 3063, 3742, 7576, 622, 4609, 865, 602, 789, 1223, 4434, 7576, 622, 3002, 6283, 538, 14495, 1496, 476, 273, 9948, 4586, 763, 3156, 540, 6289, 739, 19099, 7252, 538, 14495, 30109, 13404, 593, 7535, 14495, 269, 10765, 4539, 540, 7535, 14495, 593, 6289, 1993, 1663, 1749, 1496, 476, 272, 267, 476, 274, 268, 279, 9948, 543, 6289, 739, 19099, 7252, 1496, 476, 273, 267, 476, 280, 268, 1556, 9948, 723, 3254, 1271, 3002, 6283, 6653, 2287, 3379, 547, 14736, 2627, 543, 796, 572, 17660, 15559, 267, 1812, 958, 269, 634, 1382, 4600, 2324, 593, 7535, 14495, 609, 6289, 1993, 1663, 1749, 9571, 17560, 14835, 17774, 5217, 593, 741, 15911, 2627, 267, 799, 9168, 519, 2627, 2934, 1496, 476, 272, 268, 278, 9948, 1547, 1358, 1223, 3308, 1047, 519, 1840, 538, 2627, 986, 13949, 1145, 609, 17560, 14835, 2627, 15098, 543, 519, 1447, 2287, 538, 3346, 5086, 630, 4061, 519, 1840, 538, 6632, 339, 1464, 3738, 2073, 1312, 540, 799, 8329, 547, 4463, 523, 2565, 3002, 13441, 630, 8863, 293, 3738, 1547, 1635, 713, 6073, 267, 1382, 4600, 941, 2111, 547, 3489, 1164, 8863, 293, 2418, 9001, 6986, 670, 273, 302, 593, 17560, 14835, 22862, 7252, 269, 31056, 23937, 538, 3002, 6283, 14170, 543, 519, 8863, 293, 267, 543, 10565, 11081, 538, 14495, 5169, 5210, 723, 1044, 4080, 676, 4830, 1382, 2516, 8720, 609, 6289, 739, 19099, 7252, 543, 6289, 1993, 1663, 1749, 538, 7535, 14495, 1496, 476, 272, 268, 1556, 9948, 1547, 1717, 891, 8180, 625, 676, 543, 1804, 3668, 513, 6417, 1505, 540, 6289, 739, 19099, 15098, 602, 7182, 519, 29039, 31536, 542, 540, 3002, 20675, 2536, 6127, 538, 6289, 8113, 2297, 1169, 3787, 1434, 607, 3156, 540, 971, 6285, 538, 669, 3739, 1949, 269, 769, 713, 4413, 633, 267, 649, 1459, 513, 4805, 1505, 540, 6289, 739, 19099, 15098, 585, 2890, 2275, 944, 532, 1062, 267, 609, 1698, 629, 30276, 540, 3142, 585, 2251, 24519, 1922, 324, 2137, 540, 1028, 9285, 3029, 267, 7516, 267, 543, 1570, 2010, 269, 769, 938, 8180, 625, 267, 16861, 8062, 593, 513, 19923, 6289, 528, 617, 5044, 22862, 7535, 15245, 941, 5342, 543, 14495, 14258, 5833, 941, 3379, 547, 519, 476, 272, 338, 689, 513, 6671, 1544, 541, 19923, 6094, 7260, 2627, 26424, 269, 634, 2009, 6165, 540, 971, 513, 11741, 6289, 739, 19099, 7535, 15245, 8066, 1100, 23028, 543, 10707, 23466, 538, 9145, 1446, 669, 3739, 3156, 729, 23699, 630, 909, 547, 827, 476, 1015, 310, 30763, 273, 3738, 543, 9621, 4539, 941, 5833, 563, 10908, 3496, 5086, 18254, 630, 23834, 4696, 3738, 4480, 1496, 476, 1321, 268, 1428, 9948, 568, 513, 2168, 1582, 23829, 12273, 3395, 4480, 602, 2488, 513, 4195, 1698, 629, 30276, 540, 7432, 476, 274, 291, 6289, 739, 4450, 14249, 609, 4277, 8631, 28378, 338, 971, 607, 1164, 5122, 270, 31516, 26634, 543, 16310, 4389, 12444, 1436, 3379, 547, 519, 4874, 322, 31051, 710, 9413, 269, 898, 568, 513, 2241, 543, 2582, 9912, 5650, 602, 3091, 513, 1942, 543, 17157, 3608, 1505, 547, 5478, 6289, 739, 19099, 14249, 540, 1028, 9285, 8631, 338, 538, 519, 13350, 9184, 983, 5044, 1169, 3787, 1434, 607, 7135, 267, 8407, 267, 543, 27911, 269, 634, 23834, 4696, 4480, 3096, 519, 968, 9328, 12976, 12343, 267, 9232, 799, 568, 513, 968, 2168, 1582, 23829, 12273, 9232, 5650, 998, 799, 521, 573, 13717, 10071, 8444, 4776, 5166, 6053, 16005, 593, 2362, 2627, 2798, 540, 513, 2847, 6295, 14041, 630, 7612, 476, 272, 3738, 2921, 547, 606, 30065, 6241, 541, 19916, 269, 9603, 547, 519, 8579, 15088, 538, 519, 3395, 543, 12343, 540, 3355, 14041, 2627, 986, 13949, 1145, 610, 1106, 267, 930, 2627, 4609, 1332, 5488, 538, 519, 13902, 1259, 269, 9603, 547, 741, 2362, 7381, 1145, 267, 789, 7001, 1034, 540, 519, 21933, 1664, 569, 10071, 8444, 267, 1247, 519, 10156, 2627, 2798, 1205, 14692, 539, 543, 666, 1875, 2490, 1022, 3476, 269, 3414, 519, 1852, 540, 18254, 4164, 13011, 9424, 540, 23834, 4696, 971, 607, 5086, 540, 21933, 1664, 11841, 13441, 267, 14041, 27414, 5163, 6991, 267, 543, 14041, 27414, 5163, 267, 621, 568, 2009, 547, 3489, 513, 3376, 25819, 540, 6289, 739, 19099, 14249, 609, 1114, 3029, 630, 22203, 267, 20950, 267, 1990, 580, 345, 4711, 267, 3092, 269, 3738, 543, 7306, 630, 689, 476, 1015, 338, 547, 476, 1911, 338, 540, 6289, 2210, 516, 3738, 1547, 769, 1039, 6823, 267, 13902, 6289, 528, 617, 14249, 3812, 676, 23834, 4696, 723, 1044, 4767, 547, 581, 1367, 12627, 1496, 476, 1626, 268, 1240, 9948, 602, 4679, 741, 11685, 547, 12444, 1436, 1813, 547, 4413 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 2907, 2048, 2901, 7783, 1247, 3330, 741, 11299, 685, 530, 558, 2125, 610, 1282, 4332, 267, 711, 998, 6089, 332, 20488, 269, 8422, 6709, 11467, 540, 519, 7972, 941, 607, 513, 1267, 540, 15978, 5829, 10108, 563, 289, 28320, 941, 1034, 2693, 547, 1205, 7486, 952, 741, 11299, 1185, 4359, 7486, 3968, 267, 2404, 609, 1970, 7131, 275, 12523, 630, 1889, 5501, 540, 12046, 538, 519, 1973, 264, 543, 1804, 5666, 540, 519, 3644, 538, 741, 1973, 269, 0, 14946, 618, 540, 519, 11879, 9442, 10341, 10495, 454, 763, 1101, 1900, 538, 519, 16514, 16510, 9442, 3590, 630, 303, 4488, 306, 264, 2866, 1982, 630, 289, 1180, 344, 1299, 29778, 267, 476, 1960, 275, 282, 29778, 1299, 20607, 344, 267, 476, 1220, 273, 264, 568, 547, 2708, 2702, 547, 1246, 8370, 2565, 2792, 1983, 2687, 547, 24920, 7355, 269, 634, 8370, 2565, 2792, 1983, 616, 281, 476, 272, 264, 31392, 10050, 6203, 267, 476, 273, 264, 31392, 948, 267, 476, 274, 264, 31392, 513, 2736, 267, 476, 275, 264, 16561, 3688, 267, 476, 276, 264, 7947, 532, 3688, 267, 476, 277, 264, 14775, 547, 7227, 267, 476, 278, 264, 14775, 547, 8846, 267, 476, 279, 264, 1739, 513, 3308, 8430, 543, 476, 280, 264, 28006, 1063, 2238, 269, 10341, 476, 272, 268, 276, 9305, 547, 22192, 2792, 543, 1983, 476, 277, 268, 280, 9305, 547, 32615, 2792, 563, 763, 2832, 540, 713, 1353, 729, 547, 12681, 543, 19472, 606, 4879, 7014, 540, 519, 8370, 2565, 2792, 1983, 585, 946, 538, 7214, 9659, 630, 2839, 264, 543, 10295, 8552, 4524, 630, 32359, 264, 5095, 563, 763, 11879, 9442, 10341, 630, 290, 5425, 264, 4879, 729, 2919, 1759, 593, 513, 2203, 6964, 538, 513, 1153, 585, 1453, 609, 20284, 269, 634, 15568, 595, 5425, 4879, 7014, 568, 7768, 540, 476, 4343, 3688, 602, 1450, 585, 1312, 21245, 543, 19430, 17431, 540, 519, 8370, 2565, 2792, 1983, 269, 14210, 540, 519, 3688, 616, 849, 13950, 676, 519, 2385, 270, 3249, 326, 1853, 547, 3313, 2436, 32705, 2702, 9775, 2687, 547, 1514, 7569, 269, 3962, 6221, 568, 20639, 593, 513, 476, 271, 268, 273, 4336, 267, 609, 476, 271, 10834, 513, 2792, 5470, 610, 11234, 3210, 543, 476, 273, 10834, 513, 2953, 3210, 269, 634, 4879, 568, 13950, 538, 513, 2067, 2065, 1604, 3351, 2358, 519, 1126, 779, 1378, 9162, 543, 2238, 607, 10050, 6203, 543, 9053, 3688, 269, 1401, 6984, 942, 2877, 547, 5618, 519, 2385, 270, 3249, 326, 1853, 593, 7245, 4640, 267, 519, 595, 5425, 4879, 3217, 5111, 476, 1789, 268, 2412, 3764, 547, 17982, 563, 2414, 3313, 954, 8573, 831, 10727, 543, 21276, 14496, 267, 8464, 941, 3379, 1063, 1079, 3731, 619, 267, 543, 22192, 543, 32615, 2792, 8464, 5833, 593, 519, 595, 5425, 4879, 941, 3379, 547, 22192, 543, 32615, 1893, 6151, 8464, 593, 519, 15550, 14657, 11154, 633, 10263, 2480, 2297, 630, 309, 5723, 306, 268, 273, 282, 590, 1706, 992, 267, 595, 545, 3832, 26152, 267, 1299, 7195, 320, 267, 476, 1220, 276, 1916, 763, 595, 5425, 4879, 729, 7796, 6838, 609, 476, 736, 1453, 9907, 476, 273, 268, 1428, 1296, 630, 300, 2085, 815, 476, 278, 269, 4792, 282, 12676, 815, 476, 275, 269, 3953, 1070, 609, 513, 9672, 5868, 540, 513, 4719, 6794, 269, 4107, 1453, 538, 519, 1353, 630, 333, 815, 476, 1428, 264, 941, 8995, 609, 21890, 1030, 14259, 6794, 267, 513, 4524, 27537, 676, 1893, 8488, 543, 20284, 10835, 26331, 563, 11328, 8573, 831, 10727, 24132, 689, 1434, 547, 5140, 2066, 3688, 630, 7076, 539, 28137, 779, 3852, 374, 815, 476, 271, 269, 8287, 268, 272, 269, 876, 282, 631, 815, 1547, 5952, 1070, 543, 513, 2178, 9756, 729, 1336, 1063, 519, 595, 5425, 543, 966, 5723, 306, 268, 273, 585, 22192, 2792, 630, 3464, 815, 1547, 26116, 267, 533, 815, 1547, 9826, 1070, 855, 711, 585, 32615, 2792, 630, 3464, 815, 1547, 3374, 279, 267, 533, 815, 1547, 271, 2568, 1916, 763, 595, 5425, 4879, 568, 513, 3407, 1907, 547, 2268, 2565, 2792, 5759, 538, 9517, 543, 20284, 5095, 267, 3226, 22192, 2792, 1983, 269, 901, 2268, 568, 1631, 1373, 1031, 547, 4983, 519, 2078, 1063, 2792, 5759, 267, 2352, 19326, 267, 20284, 10835, 26331, 267, 2085, 543, 1377, 540, 2702, 538, 513, 20165, 540, 1762, 1453, 609, 16321, 748, 26379, 1950, 269, 1717, 267, 519, 595, 5425, 4879, 849, 2982, 9153, 607, 513, 2268, 540, 2565, 22192, 2792, 1983, 840, 268, 543, 2022, 268, 6304, 538, 4351, 2213, 6417, 8062, 267, 543, 922, 946, 1369, 1312, 4081, 543, 4791, 8658, 786, 581, 5941, 269, 0, 3674, 476, 15996, 1932, 3905, 585, 606, 2599, 888, 2690, 1034, 6517, 267, 519, 3339, 5665, 2599, 2837, 568, 538, 513, 2039, 540, 476, 4198, 547, 476, 13136, 5232, 18278, 267, 1498, 1034, 21686, 4580, 2837, 12238, 2471, 1810, 1406, 1397, 606, 3169, 2837, 269, 5502, 267, 972, 616, 3335, 24795, 585, 4411, 543, 3905, 593, 519, 8728, 540, 519, 15378, 543, 513, 3339, 2039, 538, 519, 1647, 563, 1692, 3905, 568, 1932, 3905, 585, 1286, 2599, 888, 31863, 5665, 2837, 540, 1007, 543, 1031, 6472, 454, 8170, 1576, 267, 2188, 971, 607, 2011, 14555, 267, 6287, 532, 543, 7329, 1782, 693, 513, 3247, 786, 1764, 713, 267, 855, 596, 1058, 581, 5386, 952, 707, 1286, 568, 4881, 693, 9170, 1063, 476, 5002, 268, 13136, 5232, 269, 3683, 713, 3970, 267, 543, 707, 10237, 1807, 543, 3579, 656, 12862, 2196, 513, 2362, 1981, 540, 8781, 563, 1432, 2837, 666, 3441, 513, 1286, 2599, 888, 7021, 515, 908, 2443, 476, 736, 547, 476, 2412, 26440, 4181, 3683, 454, 27039, 593, 519, 2599, 1374, 543, 519, 2179, 540, 3327, 19221, 538, 519, 26561, 267, 707, 6174, 949, 2253, 547, 1995, 2599, 22545, 630, 323, 17662, 566, 1916, 3674, 476, 13301, 5232, 1932, 3905, 585, 606, 2599, 888, 4002, 513, 3905, 1554, 267, 2469, 909, 513, 14629, 609, 707, 2011, 30690, 593, 267, 602, 568, 513, 3339, 2837, 267, 543, 568, 4986, 547, 5855, 827, 267, 607, 1279, 607, 596, 5749, 1406, 9561, 3579, 656, 269, 1411, 666, 9108, 7500, 547, 476, 13301, 269, 26361, 476, 13301, 596, 616, 683, 2130, 519, 14495, 1448, 540, 707, 3579, 656, 267, 865, 1376, 1373, 7255, 563, 3674, 476, 13136, 5232, 547, 3905, 585, 606, 2599, 888, 31863, 18323, 2599, 2837, 15378, 454, 7197, 4966, 3858, 602, 707, 2599, 1058, 2196, 1063, 476, 4198, 5232, 543, 476, 13136, 5232, 269, 2560, 1403, 519, 15378, 5956, 547, 979, 909, 811, 982, 621, 2356, 1281, 267, 596, 949, 723, 2014, 585, 6161, 563, 1692, 1279, 1281, 621, 1491, 585, 606, 2599, 547, 3579, 1524, 888, 2005, 3335, 3217, 513, 4396, 476, 1789, 3764, 585, 606, 2599, 547, 3579, 1524, 2614, 585, 621, 547, 581, 2922, 547, 6023, 269, 1403, 596, 8910, 2864, 1577, 513, 3318, 6023, 519, 1966, 267, 621, 779, 942, 547, 1289, 585, 513, 6287, 14903, 269, 4495, 519, 2599, 814, 22799, 267, 2638, 519, 3579, 656, 7382, 563, 3963, 568, 1250, 2599, 3905, 855, 711, 23986, 908, 888, 2252, 596, 1265, 602, 596, 4076, 3893, 513, 1286, 4881, 3905, 855, 711, 23986, 908, 972, 1522, 581, 513, 1906, 4128, 281, 1849, 690, 3022, 610, 8697, 10237, 1807, 269, 8899, 3579, 656, 1377, 269, 12456, 3042, 1216, 6802, 610, 27687, 520, 563, 3963, 568, 1250, 2599, 865, 3905, 888, 3963, 1684, 1621, 1149, 3683, 17742, 286, 1621, 1149, 666, 936, 17742, 585, 1082, 4128, 269, 769, 2489, 267, 621, 779, 1317, 1945, 779, 4636, 1369, 519, 9023, 1062, 543, 3002, 3884, 1406, 2111, 547, 9101, 519, 2599, 26654, 269, 634, 2707, 540, 519, 3390, 1223, 1331, 513, 9023, 1062, 13451, 267, 25768, 10237, 1807, 10178, 267, 7745, 1216, 6802, 267, 610, 24571, 3022, 3579, 656, 25652, 563, 1692, 798, 596, 3579, 1524, 606, 23986, 730, 2599, 888, 2252, 707, 2599, 568, 23986, 908, 267, 798, 519, 1739, 547, 3579, 621, 1524, 912, 268, 12414, 1055, 519, 2011, 30690, 269, 26121, 519, 589, 14727, 12662, 513, 5230, 4452, 593, 707, 2599, 563, 268, 12414, 593, 519, 22865, 269, 901, 9514, 338, 930, 4430, 3002, 689, 519, 2599, 883, 519, 1286, 269, 6693, 268, 10925, 707, 1286, 538, 9243, 610, 6288, 543, 1287, 2847, 519, 2599, 269, 6693, 268, 29553, 936, 543, 1930, 519, 26372, 563, 1692, 798, 594, 917, 952, 1250, 2599, 568, 8697, 689, 23986, 908, 888, 23219, 940, 20050, 602, 2659, 5422, 568, 3683, 515, 908, 454, 268, 12182, 32431, 269, 1879, 519, 2599, 568, 4881, 267, 596, 666, 2503, 519, 26372, 547, 12520, 3002, 543, 1745, 3636, 547, 519, 5905, 269, 6693, 268, 18323, 717, 879, 613, 610, 8752, 269, 6693, 268, 570, 10107, 30433, 269, 6693, 268, 15346, 656, 2274, 1136, 593, 519, 16140, 269, 6693, 268, 3911, 20635, 968, 31640, 892, 6693, 268, 29673, 28527, 689, 519, 32431, 269, 6693, 268, 774, 18804, 3143, 2478, 269, 6693, 268, 25841, 5422, 5295, 563, 3674, 606, 2599, 8297, 1441, 952, 621, 23986, 1846, 888, 5353, 3164, 5422, 28100, 689, 5422, 3683, 515, 908, 281, 15434, 22486, 5422, 13332, 269, 3807, 899, 519, 12718, 2212, 666, 2112, 335, 689, 4430, 3002, 267, 865, 666, 519, 2599, 3625, 269, 1306, 2706, 515, 730, 2127, 540, 519, 2599, 3625, 4228, 543, 4579, 267, 621, 666, 1106, 18015, 3056, 547, 1713, 3282, 20984, 267, 2530, 540, 2773, 543, 2417, 23986, 908, 563, 1692, 666, 596, 2995, 952, 23986, 908, 568, 8697, 888, 17556, 600, 3915, 12976, 856, 689, 18284, 707, 26372, 568, 513, 2386, 1129, 602, 707, 2599, 568, 23986, 908, 269, 1306, 4166, 607, 596, 5469, 267, 7485, 936, 543, 2490, 1055, 519, 2599, 269, 15346, 656, 602, 814, 6603, 922, 14495, 1448, 786, 6460, 883, 9252, 543, 1628, 2604, 1369, 519, 9023, 1062, 563, 1692, 1279, 666, 596, 2196, 606, 2599, 3905, 888, 20776, 29418, 267, 2599, 23986, 908, 568, 835, 540, 1346, 2042, 602, 666, 5612, 3441, 519, 2599, 538, 1100, 942, 269, 769, 1249, 267, 16669, 4966, 4362, 602, 596, 1223, 711, 2196, 707, 2599, 585, 811, 982, 476, 1789, 547, 476, 2568, 7643, 1354, 596, 1294, 1713, 4539, 540, 2599, 23986, 908, 563, 4263, 1018, 2837, 1281, 513, 1507, 3625, 4258, 11803, 936, 17742, 888, 13136, 568, 3339, 585, 606, 552, 25206, 1286, 609, 519, 1318, 1698, 2604, 12773, 269, 476, 13301, 568, 1141, 6161, 5956, 269, 1411, 3580, 1205, 1454, 1732, 13674, 693, 476, 1220, 610, 1732, 269, 2290, 540, 519, 900, 332, 2888, 2152, 609, 4587, 6517, 729, 519, 796, 14315, 539, 4492, 2469, 856, 519, 2766, 10612, 609, 519, 476, 8182, 268, 6977, 10917, 563, 1692, 3905, 666, 513, 476, 12573, 4258, 11803, 2599, 2196, 888, 1220, 268, 18891, 568, 519, 6099, 5665, 10917, 585, 513, 1750, 11803, 642, 279, 282, 1655, 1379, 270, 4492, 4346, 267, 543, 2547, 2179, 540, 5957, 269, 570, 12976, 15081, 650, 538, 476, 10755, 4110, 3002, 594, 10443, 693, 693, 1472, 476, 9873, 268, 9610, 585, 513, 1247, 267, 855, 513, 1434, 476, 5197, 4110, 27687, 520, 786, 1832, 707, 10917, 476, 4198, 268, 18891, 546, 326, 4181, 4849, 538, 519, 562, 770, 5006, 10774, 27796, 2175, 269, 0, 1432, 568, 519, 2030, 454, 22349, 4048, 31647, 593, 984, 787, 577, 529, 568, 513, 2249, 540, 5144, 23439, 577, 538, 519, 1920, 28529, 19687, 269, 898, 568, 519, 1826, 2249, 314, 4134, 1584, 539, 1107, 1865, 316, 540, 519, 12593, 8330, 4048, 31647, 267, 519, 4102, 12593, 540, 15496, 2371, 676, 1297, 540, 1634, 2249, 563, 2252, 596, 4076, 6444, 1022, 9073, 1745, 1863, 547, 711, 1518, 721, 827, 621, 269, 901, 1131, 948, 721, 547, 1683, 1152, 519, 1655, 7779, 1344, 269, 0, 2690, 1296, 649, 723, 1044, 5275, 547, 4628, 11177, 938, 3504, 1259, 540, 1272, 267, 9001, 1585, 2409, 538, 938, 2259, 547, 3142, 938, 12563, 1927, 896, 513, 7333, 1676, 540, 737, 29023, 543, 23274, 269, 5221, 540, 713, 267, 649, 1745, 602, 621, 568, 942, 585, 721, 547, 1491, 519, 1985, 1900, 883, 31811, 938, 17174, 6561, 2899, 543, 585, 454, 4407, 930, 5640, 723, 31713, 1585, 3344, 540, 519, 715, 518, 28387, 1381, 267, 689, 1200, 2012, 547, 1200, 4567, 607, 513, 9758, 27272, 3618, 15831, 267, 9039, 540, 891, 7440, 814, 8810, 3226, 2500, 538, 1769, 540, 513, 3102, 6514, 540, 519, 2963, 269, 4107, 1419, 6065, 1540, 568, 519, 2012, 715, 518, 28387, 3294, 269, 570, 659, 7978, 11339, 267, 715, 518, 628, 636, 267, 7329, 1609, 6833, 1090 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 536, 684, 542, 1928, 1701, 3733, 4064, 11097, 2989, 538, 8710, 1107, 796, 2041, 4385, 560, 547, 803, 267, 2576, 1185, 12012, 891, 16957, 569, 2688, 1922, 527, 10887, 2439, 25721, 860, 2045, 267, 519, 4558, 6035, 547, 5385, 873, 585, 1776, 6292, 267, 4180, 602, 1100, 2417, 12381, 1131, 581, 1500, 1510, 1250, 9844, 269, 901, 942, 267, 789, 19942, 803, 519, 4216, 13948, 267, 30260, 602, 4986, 8966, 1185, 1044, 2944, 547, 14207, 519, 3514, 269, 4039, 773, 1386, 267, 594, 1178, 19290, 7608, 741, 3284, 1108, 543, 12247, 539, 547, 2611, 21713, 538, 2104, 10918, 2833, 780, 4517, 865, 267, 15210, 2828, 267, 1247, 649, 949, 1246, 782, 519, 5227, 3268, 547, 1265, 938, 3501, 21489, 6474, 267, 3006, 1272, 25001, 721, 7455, 27750, 269, 1284, 1451, 267, 3082, 267, 543, 3136, 4464, 267, 11439, 609, 16012, 7326, 543, 530, 926, 518, 982, 1354, 269, 8414, 10122, 267, 8284, 21489, 32339, 256, 0, 2237, 513, 1650, 538, 519, 2511, 540, 1483, 3734, 3871, 602, 1004, 2671, 538, 15473, 269, 634, 1650, 1058, 581, 11214, 1644, 547, 713, 1257, 6256, 912, 22081, 798, 596, 3313, 519, 1318, 2450, 540, 21489, 585, 707, 3723, 888, 2026, 606, 3642, 1893, 2203, 267, 594, 798, 711, 723, 3952, 269, 1717, 267, 1934, 616, 930, 2489, 3268, 547, 3313, 519, 1318, 2450, 540, 21489, 585, 707, 3723, 1384, 272, 269, 12763, 707, 3723, 281, 2422, 513, 14610, 610, 7893, 11746, 547, 2268, 519, 3259, 540, 707, 3723, 689, 519, 24933, 547, 519, 13074, 23179, 269, 5269, 2386, 596, 2268, 1312, 3952, 267, 607, 789, 1522, 711, 581, 519, 1482, 2450, 780, 273, 269, 6744, 513, 521, 1944, 5750, 281, 7756, 12478, 1522, 723, 13581, 7648, 538, 521, 1944, 267, 865, 2638, 519, 521, 1944, 5750, 540, 519, 6216, 596, 616, 5461, 538, 780, 274, 269, 6333, 519, 8700, 281, 2368, 1004, 1522, 723, 9962, 610, 7522, 518, 3952, 267, 865, 1491, 602, 883, 7156, 950, 7446, 10887, 780, 275, 269, 8347, 10887, 593, 281, 898, 568, 2141, 1655, 547, 2119, 10887, 593, 1354, 9140, 873, 269, 12532, 1472, 538, 873, 543, 1118, 2386, 789, 616, 6899, 543, 798, 711, 6299, 1996, 707, 3723, 780, 276, 269, 23680, 930, 2230, 281, 5269, 2386, 972, 568, 930, 2230, 1063, 519, 1439, 540, 707, 23179, 543, 519, 1439, 540, 519, 21489, 267, 607, 707, 3952, 1522, 2220, 749, 1282, 519, 1554, 780, 3528, 1739, 891, 3268, 267, 596, 666, 2327, 10640, 763, 1650, 2115, 547, 1331, 513, 8903, 543, 6397, 4729, 6335, 269, 2659, 2239, 1058, 13469, 609, 519, 13597, 543, 2123, 5905, 1336, 538, 8468, 5717, 269, 3417, 11541, 2621, 543, 3929, 3178, 563, 0, 3848, 476, 1015, 281, 23556, 532, 5455, 910, 10435, 23281, 540, 13937, 932, 7860, 585, 16359, 31260, 692, 5970, 596, 2479, 2219, 827, 1018, 2306, 707, 5172, 6174, 610, 17919, 1847, 286, 1548, 7060, 621, 547, 979, 689, 835, 1747, 547, 1776, 286, 4270, 267, 602, 1131, 581, 4492, 256, 4653, 267, 972, 616, 1082, 2010, 540, 10173, 2139, 267, 1142, 609, 922, 1378, 1305, 540, 2640, 543, 19363, 269, 1656, 950, 621, 2501, 547, 5179, 31260, 267, 899, 1346, 1500, 676, 4498, 2917, 5096, 1749, 517, 267, 7446, 519, 1318, 2186, 540, 4492, 666, 948, 2087, 2773, 543, 1256, 4688, 2724, 538, 519, 1279, 2196, 269, 1924, 1577, 781, 4685, 538, 543, 1451, 811, 2439, 5331, 2469, 593, 513, 4155, 7552, 609, 707, 1920, 269, 1411, 3640, 3388, 596, 991, 267, 5577, 538, 519, 1286, 267, 2490, 593, 519, 2599, 267, 543, 5734, 519, 1930, 4155, 269, 1809, 723, 596, 2479, 11074, 547, 1589, 827, 782, 519, 960, 602, 4422, 593, 3330, 519, 2599, 547, 1205, 596, 1141, 596, 1616, 547, 979, 286, 898, 6238, 609, 513, 8141, 602, 5337, 2572, 519, 17405, 630, 528, 824, 4492, 264, 538, 519, 2599, 781, 26561, 269, 901, 16411, 24864, 1524, 593, 519, 16537, 976, 267, 799, 7140, 519, 1835, 3471, 3873, 1111, 267, 6038, 1818, 519, 14743, 8095, 543, 3001, 519, 6174, 4464, 269, 15346, 267, 26001, 31841, 3086, 267, 1577, 781, 2911, 827, 930, 540, 519, 1114, 5686, 540, 10173, 1004, 946, 2221, 269, 2290, 2442, 4781, 568, 1572, 834, 996, 12935, 2437, 799, 568, 1419, 6404, 609, 2834, 17405, 269, 6056, 540, 621, 899, 11544, 4829, 10433, 609, 1216, 269, 1879, 596, 3575, 873, 1927, 267, 789, 1831, 513, 17705, 4235, 256, 6684, 267, 950, 596, 1039, 19844, 547, 17405, 267, 621, 5932, 1945, 1572, 606, 834, 996, 12935, 11100, 1701, 3509, 6517, 543, 18114, 666, 946, 713, 1826, 540, 4492, 267, 855, 1705, 596, 917, 602, 930, 5179, 31260, 666, 1932, 286, 2334, 781, 1318, 282, 1978, 3631, 540, 4498, 2917, 5096, 1749, 517, 5179, 31260, 666, 2196, 593, 19844, 24025, 267, 1175, 899, 707, 1920, 1286, 2439, 3719, 1946, 3442, 19844, 936, 2757, 17405, 286, 1280, 26784, 267, 19844, 17236, 15777, 982, 17405, 267, 2495, 621, 7472, 7864, 5739, 5434, 269, 3958, 267, 2094, 19844, 568, 1500, 689, 2371, 899, 8970, 267, 10931, 2117, 2033, 267, 610, 6467, 24124, 267, 621, 781, 2808, 7791, 267, 7429, 8093, 10173, 971, 607, 3282, 610, 2067, 3154, 269, 1717, 267, 972, 616, 849, 930, 1919, 547, 1832, 538, 2247, 952, 596, 6430, 547, 946, 19844, 24025, 538, 707, 27576, 269, 1358, 949, 1683, 5594, 1447, 1648, 829, 20645, 3379, 547, 6986, 17405, 267, 865, 596, 1522, 5469, 513, 13581, 6175, 538, 4492, 4346, 269, 4746, 267, 1317, 19844, 24643, 7509, 689, 519, 2011, 267, 13936, 1804, 5666, 540, 621, 1223, 5732, 2014, 2152, 609, 4587, 9817, 610, 1507, 9817, 1336, 538, 16996, 610, 15989, 3937, 780, 3383, 267, 1631, 602, 596, 917, 513, 3787, 811, 827, 19844, 24025, 1577, 803, 2995, 596, 513, 1650, 827, 1079, 2828, 3957, 10793, 543, 15039, 945, 2648, 2921, 741, 4498, 2917, 5096, 1749, 976, 856, 585, 26055, 998, 23090, 2197, 9897, 269, 5637, 1185, 5063, 4862, 827, 19844, 24025, 543, 4956, 547, 2285, 873, 513, 2119, 269, 2311, 1101, 267, 789, 8068, 1100, 1713, 3017, 538, 2773, 1063, 2834, 17405, 543, 519, 19844, 11100, 269, 2991, 1896, 3275, 267, 2705, 267, 789, 3323, 7487, 2539, 5826, 3790, 1813, 547, 4824, 2599, 15325, 1107, 7064, 547, 519, 15777, 13674, 1184, 3177, 676, 519, 19844, 11100, 256, 3683, 942, 267, 891, 9806, 3773, 909, 267, 3850, 873, 547, 1902, 538, 1007, 10591, 543, 17960, 547, 3986, 741, 14964, 2833, 2417, 269, 1635, 3695, 4244, 4492, 3681, 267, 10793, 543, 15039, 4362, 513, 1187, 1259, 547, 11126, 1312, 741, 530, 24548, 543, 741, 11537, 5179, 31260, 2439, 2026, 596, 666, 1294, 267, 1620, 519, 1764, 540, 1585, 4492, 5079, 593, 2773, 8591, 606, 3063, 4494, 547, 519, 3375, 6194, 1184, 585, 4896, 5275, 547, 11694, 741, 14964, 1995, 269, 6787, 596, 5326, 540, 2267, 2358, 2059, 29271, 28565, 610, 3274, 2972, 1565, 827, 3579, 6472, 267, 6616, 707, 8631, 950, 621, 2501, 547, 4492, 666, 1152, 4324, 596, 538, 519, 1439, 269, 5808, 6487, 32503, 1522, 1256, 8300, 1866, 1472, 596, 547, 2263, 22928, 6283, 2409, 1247, 9494, 930, 3039, 538, 519, 1184, 256, 0, 2080, 568, 606, 1349, 689, 513, 2546, 912, 257, 2704, 869, 779, 3717, 2338, 269, 1284, 3441, 1524, 519, 5777, 4448, 609, 3154, 8929, 18175, 10232, 267, 1210, 24300, 1318, 883, 6578, 1544, 2188, 547, 2015, 543, 519, 9434, 2883, 9806, 891, 18175, 10232, 666, 3142, 16638, 519, 13287, 585, 4998, 4398, 267, 649, 3605, 1114, 3154, 5079, 267, 9967, 540, 19844, 24025, 269, 1284, 3580, 2689, 741, 1198, 593, 4398, 543, 1018, 5179, 7094, 1235, 2154, 547, 5431, 269, 6744, 532, 856, 1114, 3154, 8925, 6799, 536, 1731, 619, 547, 513, 7524, 25246, 540, 519, 11332, 8608, 269, 6599, 12935, 24025, 267, 607, 4166, 607, 513, 1808, 13395, 3815, 547, 2015, 267, 4867, 3565, 3514, 519, 2104, 540, 3154, 585, 4498, 2917, 5096, 1749, 517, 5179, 321, 10105, 269, 1290, 2181, 9150, 532, 519, 3310, 540, 891, 5079, 593, 4398, 2882, 606, 3606, 4494, 547, 519, 3375, 6194, 5650, 585, 10178, 18267, 3168, 585, 547, 11694, 741, 14964, 1995, 269, 2920, 783, 8941, 689, 4498, 2917, 5096, 1749, 517, 18798, 5031, 519, 13710, 1379, 540, 3154, 8929, 18175, 10232, 269, 1452, 2984, 1491, 513, 7362, 1272, 1318, 883, 519, 7344, 18125, 267, 6029, 1175, 875, 513, 2269, 662, 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, 276, 281, 29460, 606, 3203, 11819, 910, 19457, 2659, 32425, 609, 11524, 692, 5970, 596, 2479, 2219, 827, 4687, 707, 2648, 585, 1148, 609, 1866, 286, 9320, 596, 1616, 547, 948, 3214, 3605, 741, 7499, 15421, 610, 8300, 873, 547, 2769, 2933, 21176, 269, 1403, 865, 267, 1287, 4742, 513, 6281, 1153, 1148, 4116, 1223, 581, 519, 3501, 2619, 585, 596, 256, 1306, 606, 1148, 4116, 267, 596, 3513, 6338, 1053, 547, 1585, 3029, 540, 1148, 267, 899, 12400, 267, 10367, 267, 543, 18810, 267, 1247, 4543, 873, 1174, 519, 4241, 2984, 3297, 1142, 20100, 780, 1432, 1281, 621, 1491, 547, 1831, 606, 1148, 4116, 2496, 2414, 1831, 606, 1148, 4116, 538, 513, 1857, 610, 4357, 1153, 267, 596, 2356, 991, 1079, 1919, 281, 630, 272, 264, 513, 2852, 4110, 5059, 593, 6575, 2069, 267, 543, 630, 273, 264, 13995, 610, 6132, 839, 675, 1808, 547, 707, 1533, 269, 5213, 1405, 5855, 282, 649, 786, 2491, 891, 3268, 2663, 593, 269, 1809, 1101, 267, 1577, 781, 4685, 883, 1018, 2306, 1373, 606, 1148, 4116, 865, 2027, 2439, 3963, 1058, 594, 2015, 4742, 606, 1148, 4116, 2496, 18455, 606, 1148, 4116, 3091, 1082, 12587, 269, 3502, 1152, 798, 596, 1205, 547, 960, 609, 8049, 543, 25981, 1053, 267, 855, 596, 849, 1711, 6209, 4296, 1063, 1148, 543, 824, 5396, 269, 1280, 1383, 267, 4952, 7234, 875, 3504, 12977, 1031, 20341, 547, 2995, 2984, 610, 3695, 9511, 2035, 676, 2870, 512, 525, 8688, 908, 3270, 538, 12400, 269, 1635, 9256, 1148, 609, 4081, 3584, 267, 1565, 3587, 811, 11791, 543, 12300, 585, 3025, 3238, 2439, 11101, 267, 607, 606, 1148, 4116, 267, 596, 2811, 711, 1175, 4051, 532, 1107, 596, 2811, 11121, 269, 1411, 18663, 1053, 547, 1589, 9691, 267, 4194, 2042, 267, 12840, 609, 9905, 267, 543, 1020, 1582, 21873, 269, 9578, 267, 1169, 1554, 6770, 1945, 1007, 2094, 1100, 2875, 5932, 11247, 4010, 7567, 269, 901, 22464, 8952, 707, 2816, 4195, 543, 3078, 2439, 3721, 338, 547, 4742, 513, 6281, 1153, 1148, 4116, 1384, 272, 269, 2423, 333, 513, 20277, 781, 4110, 538, 5386, 6575, 610, 6575, 2069, 281, 4438, 2852, 267, 1445, 593, 3384, 1312, 707, 7499, 1983, 543, 1620, 3872, 6436, 269, 2368, 3292, 949, 2154, 6030, 538, 1126, 6530, 267, 14292, 2994, 267, 543, 4879, 2409, 269, 3958, 267, 2259, 707, 4739, 676, 10283, 538, 11925, 267, 22631, 4721, 267, 610, 1353, 13383, 3292, 269, 1452, 2833, 786, 10802, 707, 14769, 543, 6542, 11428, 950, 7311, 585, 6009, 780, 273, 269, 5136, 1555, 13995, 610, 6132, 839, 675, 281, 2991, 15980, 707, 4110, 267, 2638, 609, 707, 1533, 8257, 540, 2069, 585, 1808, 4170, 269, 15380, 267, 596, 1590, 1780, 11400, 11744, 28671, 538, 1148, 1543, 2127, 543, 27380, 630, 974, 2286, 2853, 1040, 7388, 1154, 24892, 2361, 1740, 610, 2875, 3450, 949, 849, 581, 2556, 1354, 8391, 2407, 13995, 780, 274, 269, 28150, 1995, 281, 4495, 14468, 267, 4019, 585, 7127, 7400, 7158, 538, 2199, 1647, 610, 1164, 3506, 269, 8490, 3347, 1369, 519, 2146, 543, 9363, 3742, 538, 3318, 3906, 666, 2333, 15287, 543, 1930, 9885, 585, 2104, 7694, 3255, 269, 5457, 267, 1169, 1900, 3144, 2509, 4742, 606, 1148, 4116, 8309, 547, 5935, 519, 8186, 540, 14182, 781, 5159, 543, 3401, 780, 1103, 3932, 267, 952, 596, 5326, 540, 1818, 513, 3017, 998, 1148, 2069, 267, 1246, 707, 6612, 267, 543, 11654, 513, 4876, 607, 513, 6281, 1153, 1148, 4116, 269, 2060, 8990, 543, 2182, 960, 267, 596, 3513, 4166 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 17821, 563, 288, 18308, 11677, 519, 10677, 1510, 9993, 585, 741, 3370, 1543, 538, 713, 4760, 269, 594, 297, 17876, 26774, 568, 513, 15562, 2207, 5183, 681, 26041, 302, 4750, 563, 1607, 568, 606, 1930, 14092, 947, 2376, 7856, 896, 519, 2474, 540, 454, 268, 7195, 9774, 267, 654, 14389, 269, 543, 918, 712, 267, 590, 269, 630, 1708, 272, 1040, 22911, 1633, 268, 2304, 26954, 645, 3019, 585, 519, 5113, 269, 5101, 3979, 18623, 808, 269, 3397, 686, 269, 543, 5020, 2233, 267, 476, 275, 263, 274, 1070, 476, 4343, 268, 4366, 269, 4179, 2517, 8742, 3820, 270, 1015, 269, 3607, 274, 5392, 27160, 553, 329, 1023, 269, 476, 1708, 272, 18192, 6860, 328, 6734, 269, 9826, 20396, 281, 4179, 2517, 8742, 3820, 270, 1015, 269, 3607, 274, 5392, 27160, 553, 329, 1023, 269, 1708, 272, 18192, 6860, 328, 6734, 269, 9826, 454, 268, 8779, 24521, 267, 681, 1421, 546, 262, 6635, 613, 267, 681, 1421, 1546, 717, 10174, 267, 681, 1421, 10787, 828, 267, 590, 1421, 6182, 27591, 267, 631, 1421, 670, 27553, 267, 645, 1421, 1299, 11709, 9324, 25028, 267, 631, 269, 630, 1960, 278, 1040, 634, 1871, 540, 519, 1158, 781, 5117, 2533, 543, 2067, 3854, 269, 7186, 267, 476, 4343, 278, 263, 5780, 274, 271, 1070, 476, 26562, 268, 18605, 269, 20396, 281, 4179, 2517, 8742, 3820, 270, 1015, 269, 9818, 279, 270, 4343, 278, 26562, 320, 271, 454, 268, 8779, 24521, 267, 681, 1421, 1546, 717, 10174, 267, 681, 1421, 27659, 2023, 267, 623, 1421, 11709, 3541, 1773, 334, 1122, 267, 590, 1421, 18722, 267, 590, 269, 808, 1421, 918, 889, 529, 345, 1168, 24989, 267, 594, 1421, 1299, 25306, 267, 681, 269, 918, 269, 630, 1001, 275, 1040, 15448, 538, 519, 2518, 1871, 540, 5117, 2533, 269, 6820, 2825, 1689, 267, 476, 2918, 267, 476, 13923, 268, 15647, 269, 20396, 281, 4179, 2517, 8742, 3820, 270, 1015, 269, 6200, 277, 10768, 3052, 5979, 523, 341, 15939, 269, 1001, 275, 269, 6860, 269, 16573, 454, 268, 7025, 10466, 10837, 267, 6115, 267, 9823, 269, 630, 1960, 274, 1040, 20472, 539, 22911, 4133, 585, 654, 770, 1168, 831, 9615, 543, 13812, 26335, 281, 476, 1704, 8865, 5525, 269, 630, 292, 5183, 279, 3953, 7304, 268, 11152, 268, 22650, 1040, 8940, 269, 636, 806, 12975, 270, 5055, 3146, 32697, 454, 268, 6480, 2784, 320, 267, 717, 269, 595, 269, 667, 1421, 1924, 4100, 267, 631, 269, 700, 269, 717, 1421, 22513, 1228, 345, 267, 966, 1421, 1299, 632, 1325, 1889, 5866, 267, 623, 269, 631, 269, 631, 269, 630, 1001, 276, 1040, 634, 2804, 6268, 540, 3327, 4859, 543, 3524, 652, 1674, 607, 5117, 2533, 540, 22600, 549, 1407, 281, 513, 2013, 1353, 689, 25878, 8478, 269, 4139, 4750, 540, 26085, 3163, 267, 23270, 7896, 1299, 5004, 267, 476, 1556, 263, 272, 1070, 476, 3066, 268, 3374, 269, 20396, 281, 4179, 2517, 8742, 3820, 270, 1015, 269, 10482, 271, 270, 21497, 15389, 3953, 269, 1001, 275, 269, 280, 8287, 6858, 277, 454, 268, 17384, 267, 645, 1421, 25306, 267, 918, 1421, 2098, 2643, 14259, 267, 631, 1421, 645, 709, 4546, 267, 681, 1421, 1546, 717, 10174, 267, 681, 1421, 10787, 828, 267, 590, 1421, 1299, 7195, 332, 5112, 267, 589, 269, 630, 1220, 279, 1040, 23270, 2533, 543, 2804, 3069, 281, 5610, 585, 3609, 13001, 516, 10589, 1382, 269, 26954, 3156, 267, 476, 1240, 263, 279, 1070, 476, 13078, 271, 268, 18684, 278, 269, 20396, 281, 4179, 2517, 8742, 3820, 270, 1015, 269, 6245, 271, 270, 5881, 268, 14631, 278, 269, 272, 454, 268, 717, 548, 525, 517, 267, 570, 1421, 1325, 2917, 267, 654, 269, 631, 1421, 19395, 267, 667, 269, 631, 1421, 20153, 665, 548, 748, 267, 631, 269, 589, 1421, 31481, 267, 962, 1421, 18000, 580, 1276, 328, 267, 631, 269, 1299, 966, 6387, 4614, 523, 267, 808, 269, 476, 1001, 273, 269, 27870, 4264, 15780, 946, 281, 4259, 1279, 13001, 3410, 3853, 267, 1394, 26511, 267, 543, 5883, 3082, 1947, 269, 16140, 4248, 267, 476, 2004, 263, 272, 1070, 476, 866, 268, 2918, 267, 4179, 2517, 8742, 3820, 270, 1015, 269, 9340, 272, 10768, 269, 14690, 276, 268, 4792, 279, 275, 269, 1001, 272, 269, 25484, 1839, 11859, 20396, 281, 4179, 2517, 8742, 3820, 270, 1015, 269, 9340, 272, 10768, 269, 14690, 276, 268, 4792, 279, 275, 269, 1001, 272, 269, 25484, 1839, 11859, 454, 268, 24051, 7615, 267, 808, 269, 700, 1421, 1299, 667, 1245, 267, 595, 269, 630, 1001, 280, 1040, 4826, 14025, 4398, 281, 8441, 543, 2591, 538, 513, 4657, 2916, 269, 13571, 4536, 538, 2030, 2257, 267, 476, 1015, 267, 476, 9818, 269, 20396, 281, 4179, 2517, 8742, 3820, 270, 1015, 269, 24783, 280, 11721, 680, 338, 269, 1001, 280, 269, 9826, 6734, 454, 268, 631, 2378, 17703, 2033, 267, 670, 269, 595, 269, 630, 1001, 280, 1040, 11790, 602, 1860, 519, 6099, 13345, 540, 15780, 2200, 693, 17312, 321, 3089, 16466, 543, 6917, 2127, 540, 25253, 4861, 11253, 538, 631, 335, 636, 531, 18553, 19435, 269, 4750, 540, 27065, 267, 16743, 543, 4317, 29661, 1222, 267, 476, 274, 263, 273, 1070, 476, 4029, 268, 5655, 563, 268, 631, 2378, 17703, 2033, 267, 670, 269, 595, 269, 630, 1001, 280, 1040, 11790, 602, 1860, 519, 2298, 540, 2533, 693, 3662, 8023, 16904, 538, 717, 2246, 1263, 19435, 269, 4750, 540, 27065, 267, 16743, 543, 4317, 29661, 1222, 267, 476, 273, 263, 273, 1070, 476, 1839, 268, 4510, 563, 268, 7085, 3317, 1756, 23270, 10495, 269, 630, 1220, 276, 264, 589, 7797, 540, 519, 7085, 3317, 1756, 23270, 10495, 269, 23270, 338, 543, 5274, 4270, 5174, 4370, 269, 6816, 4964, 267, 6115, 9823, 454, 268, 631, 1080, 577, 267, 654, 269, 808, 1421, 12672, 531, 267, 645, 1421, 1299, 670, 1716, 663, 14162, 267, 631, 269, 661, 269, 630, 1001, 276, 1040, 23270, 2533, 540, 19126, 269, 4139, 4750, 540, 26085, 3163, 267, 23270, 7896, 1299, 5004, 267, 476, 1556, 263, 272, 1070, 476, 272, 268, 275, 269, 4179, 2517, 8742, 3820, 270, 1015, 269, 10482, 271, 270, 21497, 15389, 3953, 1547, 1001, 276, 269, 1911, 27698, 271, 20396, 281, 4179, 2517, 8742, 3820, 270, 1015, 269, 10482, 271, 270, 21497, 15389, 3953, 269, 1001, 276, 269, 1911, 27698, 271, 454, 268, 631, 1080, 577, 267, 654, 12282, 269, 543, 717, 657, 1088, 1074, 267, 808, 14371, 269, 630, 1001, 274, 1040, 634, 1871, 540, 19126, 281, 519, 2956, 540, 4336, 543, 5251, 4259, 269, 26954, 9297, 267, 476, 3374, 263, 272, 1070, 476, 1839, 268, 3451, 269, 4179, 2517, 8742, 3820, 270, 1015, 269, 6200, 277, 13478, 6021, 273, 272, 268, 8517, 280, 263, 876, 264, 9826, 4792, 268, 279, 20396, 281, 4179, 2517, 8742, 3820, 270, 1015, 269, 6200, 277, 13478, 6021, 273, 272, 268, 8517, 280, 263, 876, 264, 9826, 4792, 268, 279, 454, 268, 631, 636, 2742, 267, 589, 1421, 28818, 267, 631, 1421, 918, 1515, 340, 267, 661, 1421, 16515, 514, 327, 1993, 267, 589, 269, 543, 670, 597, 10202, 267, 681, 269, 630, 1001, 272, 264, 15057, 281, 16140, 4248, 26291, 8865, 5530, 269, 4826, 14430, 267, 2622, 7813, 267, 6115, 9823, 563, 268, 2817, 7025, 5004, 269, 26085, 2920, 269, 630, 1220, 275, 1040, 2920, 3143, 269, 476, 1015, 540, 476, 1220, 275, 269, 1325, 1329, 543, 12833, 5297, 15661, 22769, 269, 476, 275, 4391, 3374, 269, 3143, 269, 681, 269, 476, 1708, 271, 563, 268, 681, 4461, 541, 13482, 13163, 269, 630, 1220, 272, 1040, 22911, 4133, 18880, 543, 12793, 269, 681, 4461, 541, 13482, 13163, 282, 717, 1633, 267, 16848, 454, 268, 681, 4461, 541, 269, 630, 1220, 275, 1040, 24627, 28100, 22159, 538, 519, 16592, 14967, 5211, 19438, 910, 1323, 26954, 20010, 269, 8940, 269, 2449, 541, 3820, 454, 268, 29828, 731, 267, 623, 1421, 2473, 340, 267, 962, 1421, 1299, 5695, 2023, 267, 589, 269, 630, 1001, 276, 1040, 15766, 908, 513, 8901, 1935, 547, 15780, 7274, 2359, 1210, 8953, 540, 3310, 609, 513, 2013, 1353, 540, 3162, 4000, 269, 4826, 14408, 267, 476, 6078, 263, 272, 1070, 476, 10170, 268, 4281, 269, 20396, 281, 4179, 2517, 8742, 3820, 270, 1015, 269, 32542, 275, 270, 9749, 320, 18192, 6078, 328, 272, 269, 1015, 454, 268, 29828, 731, 267, 623, 1421, 2473, 340, 267, 962, 1421, 1299, 5695, 2023, 267, 589, 269, 630, 1001, 276, 1040, 4635, 1394, 26511, 547, 2263, 2081, 547, 2087, 519, 3084, 1216, 8257, 779, 9295, 547, 1434, 15780, 10350, 538, 3162, 4000, 269, 4826, 4139, 267, 476, 2412, 263, 274, 1070, 476, 4510, 277, 268, 5379, 273, 269, 20396, 281, 4179, 2517, 8742, 3820, 270, 1015, 269, 10482, 271, 270, 28276, 24699, 2568, 269, 1001, 276, 269, 9818, 277, 4375, 271, 454, 268, 25306, 267, 681, 269, 661, 269, 630, 3192, 278, 1040, 3955, 339, 10537, 10664, 543, 5010, 11729, 540, 4050, 2801, 573, 20544, 269, 3690, 13905, 540, 519, 1977, 30656, 5980, 267, 476, 11793, 263, 276, 1070, 476, 30329, 268, 275, 1626, 269, 20396, 281, 4179, 2517, 8742, 3820, 270, 1015, 269, 14991, 278, 270, 15150, 279, 268, 279, 4792, 280, 263, 3192, 278, 264, 11793, 283, 30329, 281, 4353, 3722, 312, 302, 285, 273, 269, 271, 269, 4596, 282, 273, 454, 268, 20242, 534, 23042, 267, 631, 269, 667, 1421, 1299, 2107, 974, 8615, 267, 661, 269, 630, 1001, 272, 1040, 23270, 2533, 543, 6915, 613, 12950, 9979, 593, 513, 2518, 4336, 281, 29925, 540, 1216, 267, 3327, 543, 9436, 3157, 269, 7025, 2257, 1299, 3609, 267, 476, 1691, 263, 277, 1070, 476, 6795, 275, 268, 2568, 275, 269, 20396, 281, 4179, 2517, 8742, 3820, 270, 1015, 269, 6200, 277, 10768, 269, 523, 341, 338, 857, 269, 1001, 272, 269, 4962, 269, 25320, 454, 268, 1733, 8636, 6033, 267, 681, 13034, 269, 543, 700, 1731, 839, 267, 717, 9950, 269, 630, 3192, 274, 1070, 4864, 269, 12539, 538, 519, 1979, 7974, 269, 769, 15588, 6409, 523, 6641, 335, 22776, 630, 14157, 269, 476, 1789, 267, 6032, 269, 476, 27005, 268, 23714, 1916, 268, 962, 582, 13960, 267, 717, 1421, 24430, 3316, 990, 267, 631, 1421, 570, 7815, 651, 345, 13960, 267, 661, 1421, 1299, 17578, 752, 990, 24989, 267, 590, 269, 630, 1708, 272, 1040, 4826, 2298, 4879, 540, 513, 5757, 6952, 618, 676, 519, 12432, 1216, 2298, 4994, 543, 1582, 268, 6716, 1944, 7851, 269, 26954, 10832, 267, 476, 6344, 267, 476, 11793, 279, 7761, 269, 20396, 281, 4179, 2517, 8742, 3820, 270, 1015, 269, 6200, 277, 10768, 269, 1815, 565, 785, 269, 1708, 271, 269, 11793, 279, 7761, 454, 268, 2098, 539, 2401, 267, 808, 11065, 269, 543, 918, 2075, 615, 267, 590, 269, 630, 1220, 275, 1040, 15486, 543, 31664, 540, 12362, 2371, 538, 19126, 281, 19662, 267, 2309, 1235, 267, 543, 4093, 269, 11879, 5623, 538, 7233, 7070, 267, 476, 2537, 267, 476, 32542, 268, 3393, 273, 4179, 2517, 8742, 3820, 270, 272, 476, 271, 269, 10482, 271, 270, 5881, 274, 276, 2918, 3199, 275, 3445, 276, 16409, 10463, 20396, 281, 4179, 2517, 8742, 3820, 270, 1015, 269, 10482, 271, 270, 5881, 274, 276, 2918, 3199, 275, 3445, 276, 16409, 10463 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 294, 5285, 19435, 568, 513, 11662, 540, 14466, 7699, 1715, 19892, 4092, 593, 519, 7013, 5032, 269, 634, 21621, 3854, 568, 918, 699, 2742, 269, 634, 476, 4097, 267, 4335, 5998, 11054, 11662, 568, 13856, 676, 10239, 267, 1970, 1633, 5757, 1642, 339, 553, 267, 543, 31922, 6360, 23617, 267, 519, 918, 1731, 9461, 267, 16515, 18769, 267, 8830, 926, 543, 966, 841, 8403, 8933, 782, 2743, 519, 4262, 1634, 607, 519, 14466, 10224, 13323, 269, 634, 11662, 814, 519, 2034, 23337, 718, 652, 2551, 540, 782, 519, 16899, 540, 14466, 7699, 1715, 19892, 609, 476, 11793, 267, 279, 7176, 11317, 630, 1220, 271, 14829, 1916, 10376, 11662, 538, 14466, 7699, 1715, 19892, 814, 835, 610, 811, 13102, 267, 543, 1142, 8664, 814, 835, 610, 811, 10871, 5426, 6554, 630, 17247, 294, 264, 2127, 269, 1280, 14829, 5301, 267, 519, 26993, 294, 2127, 616, 1016, 323, 22866, 883, 530, 1841, 543, 1346, 883, 14829, 4559, 269, 0, 292, 1375, 4616, 1107, 1175, 835, 513, 1554, 610, 811, 1107, 568, 2404, 609, 2333, 1981, 540, 912, 268, 2295, 2068, 454, 268, 2038, 2669, 454, 292, 1375, 16543, 616, 711, 1072, 3536, 2901, 269, 634, 1966, 609, 5798, 568, 711, 1152, 609, 519, 586, 13083, 799, 3568, 519, 15459, 3170, 543, 8192, 8501, 269, 17378, 16543, 616, 513, 13671, 2707, 540, 3662, 3940, 799, 4679, 594, 24427, 268, 272, 538, 519, 1560, 543, 3648, 4679, 707, 2242, 540, 3384, 2860, 563, 292, 1375, 932, 7995, 538, 519, 10791, 676, 3220, 269, 7812, 15535, 518, 267, 11022, 454, 25205, 5735, 4966, 24633, 602, 4189, 1256, 513, 2582, 4212, 513, 1554, 949, 9765, 519, 2922, 5580, 3970, 585, 8501, 6981, 563, 265, 2608, 2608, 2608, 2608, 27661, 2662, 846, 2657, 1133, 320, 26327, 676, 28096, 676, 3220, 269, 7812, 15535, 518, 267, 11022, 454, 265, 2608, 2608, 2608, 2878, 454, 2419, 1157, 523, 267, 5798, 267, 543, 6553, 676, 3220, 269, 7812, 15535, 518, 267, 11022, 454, 265, 2608, 2608, 2608, 2608, 2608, 27661, 268, 27678, 827, 5798, 593, 12594, 293, 9711, 3820, 454, 268, 28096, 543, 16738, 609, 2960, 5595, 17150, 2860, 24088, 1981, 676, 11835, 601, 674, 7795, 337, 2006, 267, 631, 6185, 563, 268, 28096, 3657, 1280, 14914, 676, 3220, 269, 3627, 22413, 537, 326, 718, 267, 11022, 454, 268, 634, 10434, 5174, 334, 6150, 18266, 281, 27187, 543, 28096, 676, 3220, 269, 7812, 15535, 518, 267, 11022, 454, 268, 24951, 5798, 547, 13189, 676, 3220, 269, 11835, 601, 674, 7795, 337, 2006, 267, 11022, 454, 268, 1548, 779, 654, 3994, 609, 28096, 286, 1635, 19626, 2274, 9109, 267, 631, 2529, 1421, 681, 6185, 269, 0, 268, 2608, 11039, 338, 674, 14417, 5213, 919, 1269, 275, 269, 272, 28985, 547, 2817, 12124, 13477, 454, 268, 2608, 290, 2753, 7126, 24285, 1325, 26588, 17980, 267, 15570, 1088, 3244, 332, 976, 267, 543, 16205, 631, 3645, 15012, 15887, 6798, 16205, 5576, 928, 1512, 547, 28423, 4934, 593, 12928, 1442, 719, 10794, 20222, 543, 519, 28080, 7566, 540, 7642, 454, 268, 2608, 16446, 9851, 519, 14134, 281, 634, 2817, 12124, 13477, 538, 476, 1001, 274, 454, 268, 2608, 11947, 7547, 689, 519, 476, 1001, 274, 26321, 31621, 4303, 22952, 20550, 1676, 454, 268, 2608, 12812, 3371, 585, 2859, 6176, 593, 519, 2817, 12124, 13477, 24727, 267, 3194, 543, 9024, 328, 2510, 2336, 268, 2608, 5649, 519, 476, 279, 8672, 4643, 281, 3447, 622, 267, 14146, 543, 25085, 454, 268, 2608, 31413, 13477, 595, 8712, 585, 966, 1774, 593, 654, 3430, 32633, 1588, 454, 268, 2608, 13750, 618, 689, 16205, 670, 269, 631, 3645, 593, 7736, 540, 6554, 1744, 583, 6658, 454, 268, 2608, 6124, 7797, 593, 12186, 540, 1412, 18184, 2659, 16140, 262, 16572, 454, 268, 2608, 11321, 686, 2714, 3251, 666, 1118, 513, 3017, 585, 2817, 12124, 13477, 454, 268, 2608, 19400, 6732, 281, 634, 631, 3645, 22684, 476, 1001, 273, 11473, 454, 9336, 1126, 779, 1967, 6238, 693, 1753, 256, 14268, 616, 519, 1101, 4116, 779, 1453, 917, 267, 799, 568, 1946, 621, 779, 1271, 602, 3237, 1745, 23518, 547, 1205, 741, 1453, 3238, 538, 2038, 6689, 2069, 2238, 563, 2171, 752, 7924, 1983, 267, 3254, 676, 1082, 4683, 6107, 267, 568, 513, 1463, 1201, 1254, 593, 741, 1967, 538, 1153, 267, 2852, 543, 960, 269, 634, 4065, 543, 15272, 4886, 630, 292, 312, 291, 264, 6498, 540, 519, 12124, 13477, 6212, 593, 2542, 8223, 1317, 621, 814, 1044, 8810, 602, 1164, 9740, 5673, 593, 519, 2702, 547, 4487, 2542, 267, 1603, 267, 6340, 267, 6947, 543, 3206, 267, 1312, 9691, 543, 4625, 563, 763, 3367, 543, 22547, 1982, 729, 2919, 547, 1489, 713, 4674, 1310, 2090, 4080, 602, 1079, 22188, 540, 3979, 1977, 1453, 1224, 693, 610, 2630, 3446, 1377, 563, 5649, 543, 22547, 568, 513, 2189, 1982, 602, 20834, 3278, 3237, 547, 1491, 1852, 540, 741, 1126, 779, 1967, 543, 1831, 3260, 619, 540, 2038, 6689, 7924, 998, 2326, 899, 875, 3562, 28621, 1938, 267, 17476, 267, 543, 11925, 563, 3528, 2921, 1852, 540, 707, 1126, 779, 2069, 267, 596, 7668, 873, 547, 581, 3811, 538, 519, 2104, 543, 1489, 1272, 1279, 1565, 543, 2318, 9740, 538, 3506, 269, 0, 288, 6429, 2189, 547, 1034, 15882, 2443, 513, 1272, 20695, 18883, 540, 606, 15456, 2007, 267, 593, 4159, 693, 519, 7665, 6202, 7467, 540, 28668, 538, 19186, 340, 20960, 4302, 267, 1715, 6792, 912, 11693, 875, 1454, 15456, 543, 10236, 1670, 960, 3217, 1747, 693, 519, 2160, 540, 1715, 6792, 267, 621, 779, 513, 3787, 9670, 602, 922, 19795, 9754, 568, 607, 18803, 538, 2450, 607, 568, 519, 7665, 6202, 269, 12846, 267, 621, 779, 1134, 4502, 513, 3643, 952, 596, 2461, 538, 519, 1858, 543, 723, 606, 1719, 538, 519, 4610, 269, 901, 18883, 568, 10416, 519, 4099, 12328, 540, 519, 8628, 8858, 1858, 538, 519, 7665, 6202, 267, 1247, 513, 1297, 540, 824, 10525, 540, 13742, 543, 7633, 3295, 621, 593, 1079, 2157, 269, 6168, 606, 3160, 2179, 540, 2230, 568, 13991, 547, 10707, 15225, 267, 543, 519, 9754, 779, 21869, 648, 814, 930, 1483, 9060, 32261, 596, 2336, 763, 2250, 3018, 779, 5542, 540, 2257, 5829, 5816, 1286, 333, 11040, 585, 596, 912, 290, 7568, 2526, 540, 6611, 476, 27088, 454, 293, 27518, 18206, 1948, 4510, 280, 454, 29409, 17632, 585, 519, 2247, 1107, 476, 275, 270, 1015, 270, 1001, 274, 454, 16829, 538, 18395, 267, 10334, 267, 2961, 333, 2526, 807, 267, 4004, 21899, 2257, 267, 11879, 3206, 267, 25043, 540, 2257, 267, 6611, 454, 30357, 3022, 10334, 267, 1286, 333, 2526, 267, 2961, 333, 2526, 807, 267, 2565, 3206, 267, 6611, 454, 5194, 5386, 31074, 3254, 689, 519, 968, 288, 4303, 538, 25048, 701, 4512, 892, 21409, 8858, 693, 519, 28631, 7467, 540, 7186, 543, 3163, 912, 1607, 1984, 7723, 267, 1500, 540, 23419, 4224, 630, 5976, 513, 2413, 18883, 11308, 6023, 264, 1131, 723, 1044, 827, 519, 1318, 2450, 585, 513, 7622, 610, 1507, 6300, 269, 4706, 8227, 23953, 10286, 883, 519, 8559, 538, 519, 1283, 267, 543, 1287, 1031, 519, 6023, 547, 17967, 519, 5580, 6149, 269, 634, 10286, 5249, 922, 1259, 883, 519, 7934, 1063, 519, 10007, 1141, 621, 729, 16760, 563, 5804, 519, 5600, 540, 28529, 3780, 681, 18860, 639, 538, 25048, 701, 4512, 563, 1607, 2864, 5127, 571, 1375, 1194, 3168, 6221, 568, 519, 7387, 540, 513, 21069, 529, 589, 268, 274, 674, 13696, 267, 693, 519, 2817, 7467, 540, 17437, 3163, 543, 3778, 538, 19186, 340, 20960, 4302, 267, 1715, 6792, 563, 303, 6897, 529, 729, 513, 3126, 540, 1079, 22533, 4396, 23185, 26747, 2000, 320, 684, 3481, 3440, 2065, 28862, 2443, 538, 1249, 267, 789, 941, 519, 772, 2529, 10200, 1101, 971, 28862, 1310, 4566, 585, 26747, 946, 540, 519, 1804, 2038, 23593, 28862, 729, 14460, 538, 519, 476, 4198, 271, 338, 269, 634, 21069, 529, 1982, 3459, 538, 476, 4198, 277, 267, 609, 519, 1101, 21069, 529, 1373, 9250, 689, 513, 24760, 26747, 593, 476, 736, 5147, 267, 476, 3422, 271, 630, 10472, 14583, 729, 2663, 26948, 519, 589, 268, 272, 1040, 634, 589, 268, 273, 4528, 540, 519, 21069, 529, 267, 9247, 606, 4824, 589, 268, 272, 267, 4682, 883, 3028, 3735, 538, 476, 3422, 272, 563, 763, 21069, 529, 589, 268, 274, 729, 513, 7361, 2699, 525, 11220, 23828, 630, 5952, 260, 1007, 950, 3379, 609, 519, 589, 268, 273, 1070, 543, 9411, 3028, 538, 476, 3422, 275, 269, 2060, 513, 2039, 540, 476, 7742, 271, 562, 27658, 5195, 630, 25971, 271, 29417, 5195, 1315, 476, 5379, 274, 276, 5998, 1070, 621, 1223, 5734, 9072, 9170, 593, 2244, 1510, 17596, 547, 10131, 689, 1932, 2282, 513, 23795, 269, 20323, 9280, 609, 513, 2582, 476, 4335, 10275, 559, 582, 517, 2112, 3650, 267, 519, 589, 268, 274, 338, 941, 2663, 1201, 26860, 547, 4163, 1614, 5094, 476, 1220, 10275, 559, 582, 517, 2112, 21650, 630, 24392, 789, 14201, 1406, 14384, 3077, 762, 267, 789, 1223, 1764, 909, 547, 476, 8517, 7397, 2476, 689, 1142, 824, 1916, 24375, 940, 538, 476, 3422, 274, 267, 519, 2136, 8003, 849, 12349, 21069, 529, 28862, 543, 20140, 1149, 543, 1489, 1949, 269, 1809, 538, 1931, 547, 1118, 1655, 946, 540, 741, 4130, 21069, 529, 26747, 3196, 630, 3286, 476, 275, 20140, 1149, 1070, 519, 3703, 21069, 529, 28862, 941, 28459, 1540, 3842, 513, 1982, 1572, 4258, 1998, 710, 602, 9280, 873, 609, 4130, 2112, 21650, 13745, 609, 1232, 9081, 543, 824, 17872, 4831, 1889, 9778, 563, 763, 772, 2529, 269, 13108, 19622, 922, 2063, 21069, 529, 23828, 538, 476, 2735, 272, 267, 13868, 519, 3126, 1101, 609, 623, 846, 573, 517, 543, 2663, 609, 2558, 1211, 28862, 269, 3703, 4258, 1998, 710, 14726, 540, 519, 21069, 529, 941, 538, 519, 2361, 2394, 476, 1960, 277, 563, 763, 2250, 3018, 779, 5542, 540, 630, 2865, 569, 264, 2257, 5829, 5816, 1286, 333, 11040, 585, 707, 2542, 12257, 912, 290, 7568, 2526, 540, 6611, 476, 17168, 454, 293, 27518, 18206, 1948, 275, 4366, 454, 29409, 17632, 585, 519, 2247, 454, 5194, 5386, 19494, 693, 519, 15579, 523, 1315, 3057, 27117, 14086, 543, 28234, 4221, 7467, 538, 1306, 5155, 267, 12548, 2443, 713, 942, 267, 621, 779, 513, 3732, 540, 530, 5285, 523, 924, 912, 310, 5285, 523, 924, 814, 519, 3114, 4542, 623, 321, 27770, 302, 275, 267, 543, 865, 568, 513, 6281, 7626, 540, 1312, 544, 8432, 321, 6577, 636, 543, 1291, 269, 898, 779, 3335, 1336, 538, 7777, 10851, 4646, 676, 8652, 31516, 12074, 267, 543, 17028, 7458, 676, 7777, 19216, 269, 898, 666, 581, 1336, 538, 513, 1297, 540, 4778, 267, 855, 18707, 540, 10538, 267, 2699, 267, 543, 5835, 3100, 547, 581, 8789, 269, 898, 729, 1101, 4330, 538, 476, 7277, 276, 267, 543, 568, 3957, 1310, 519, 22341, 1295, 518, 6048, 30686, 2473, 32667, 13153, 654, 5285, 523, 630, 15094, 279, 268, 5197, 276, 1070, 945, 30363, 513, 1395, 1748, 593, 519, 1291, 22714, 540, 28563, 756, 1120, 267, 15212, 563, 13914, 602, 21419, 545, 1152, 521, 1678, 1317, 621, 5734, 606, 4672, 6199, 286, 2871, 612, 1586, 267, 519, 6323, 540, 5374, 5129, 513, 2462, 851, 607, 1134, 256, 3220, 269, 589, 514, 20811, 10548, 790, 345, 6941, 782, 630, 29715, 3095, 2187, 295, 20081, 281, 4425, 532, 4425, 532, 0, 2690, 326, 582, 707, 10957, 1315, 3593, 9517, 454, 8873, 547, 1753, 15682, 454, 272, 540, 476, 273, 454, 310, 16704, 11550, 25770, 5960, 281, 2910, 310, 19447, 312, 5084, 14888, 3582, 630, 303, 6020, 300, 14473, 994, 257, 290, 578, 24742, 8751, 29598, 1079, 13032, 338, 269, 21582, 24742, 19375, 29598, 2947, 13032, 338, 269, 1215, 1082, 13032, 338, 798, 789, 6952, 15587, 24350, 2704, 2819, 606, 705, 551, 26421, 16588, 888, 299, 8104, 5442, 9215, 589, 6717, 8577, 24199, 667, 8016, 9331, 7728, 2483, 300, 20047, 3436, 4569, 3436, 18827, 3436, 9046, 14572, 270, 17504, 10819, 454, 300, 20047, 3436, 4569, 3436, 9046, 14572, 3436, 21771, 270, 5353, 1783, 531, 454, 300, 20047, 3436, 27484, 19590, 3436, 21582, 2692, 903, 24250, 1712, 334, 454, 13436, 6054, 649, 1589, 596, 3513, 2972, 593, 705, 551, 26421, 2483, 284, 16588, 7457, 454, 17504, 9612, 281, 21582, 2692, 903, 454, 17504, 10819, 268, 16047, 630, 27146, 776, 270, 10026, 994, 15899, 5320, 281, 26415, 16011, 693, 9530, 1144, 630, 27146, 776, 994, 17504, 10819, 281, 30498, 589, 910, 772, 630, 324, 12661, 270, 21639, 1605, 332, 994, 265, 16685, 593, 15099, 281, 4436 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 9640, 936, 942, 563, 763, 1699, 2164, 7866, 799, 540, 519, 6035, 30973, 3688, 9029, 547, 1142, 30393, 1895, 269, 2755, 519, 3520, 1088, 690, 1504, 4607, 513, 2362, 964, 4275, 321, 1006, 12773, 982, 519, 9523, 268, 261, 268, 24718, 3113, 267, 649, 616, 4867, 5356, 519, 9523, 268, 261, 268, 24718, 3113, 543, 616, 3922, 2358, 2200, 585, 519, 3520, 1088, 690, 1504, 538, 519, 2104, 269, 634, 1079, 1292, 4128, 585, 713, 3375, 616, 1317, 519, 9523, 268, 261, 268, 24718, 2164, 2408, 14678, 585, 5171, 267, 543, 267, 7429, 519, 3520, 1088, 690, 1504, 4781, 267, 789, 2258, 730, 519, 991, 547, 7662, 585, 1022, 2417, 1239, 3403, 689, 5171, 563, 23054, 338, 2285, 8464, 538, 476, 1724, 6688, 1496, 30221, 1464, 267, 11878, 1464, 630, 1721, 678, 5200, 9640, 1152, 1070, 12050, 1145, 267, 7829, 10220, 267, 2324, 10220, 267, 2653, 547, 3247, 267, 4464, 2469, 267, 1480, 1514, 6015, 267, 1875, 25993, 1514, 6015, 267, 3209, 1843, 6015, 267, 5905, 8417, 267, 2653, 547, 4452, 543, 7115, 4940, 1452, 6688, 1450, 3755, 547, 2697, 267, 693, 513, 16145, 267, 1346, 2127, 1141, 741, 7504, 1522, 4324, 689, 3063, 3007, 610, 2866, 267, 3976, 8716, 519, 19718, 540, 2799, 1702, 543, 4824, 2259, 971, 607, 519, 946, 540, 5916, 15699, 543, 519, 17594, 540, 16126, 593, 2318, 10751, 1496, 2537, 454, 1040, 1280, 1383, 267, 513, 7504, 16363, 547, 581, 2048, 4134, 27920, 995, 685, 568, 2693, 547, 581, 27052, 1496, 275, 454, 3910, 6466, 513, 7504, 609, 513, 5266, 1970, 6060, 593, 519, 661, 5174, 2752, 304, 1480, 1606, 3469, 6015, 4336, 949, 4324, 2047, 689, 6015, 20671, 5751, 267, 5265, 2048, 3333, 9464, 685, 2866, 16097, 543, 1514, 23918, 3255, 609, 931, 24594, 338, 269, 12830, 569, 267, 1071, 3200, 12205, 1063, 1808, 19326, 543, 22907, 610, 14145, 643, 725, 538, 519, 7504, 779, 1272, 949, 1831, 7805, 267, 711, 1152, 547, 9439, 543, 12439, 267, 855, 849, 547, 3173, 563, 763, 1699, 4681, 1397, 602, 519, 1034, 2442, 24539, 585, 7589, 729, 513, 3059, 2845, 1504, 3498, 602, 1131, 1450, 3755, 547, 4283, 1239, 593, 741, 9640, 685, 2866, 267, 2359, 543, 7180, 267, 607, 4749, 607, 789, 6999, 269, 901, 1267, 568, 6117, 938, 1646, 540, 513, 16335, 16327, 26702, 3520, 1088, 690, 1504, 454, 1952, 997, 566, 602, 786, 2270, 2789, 3903, 267, 2638, 7901, 267, 4908, 543, 2407, 1257, 2243, 2010, 543, 5000, 26348, 543, 19393, 3950, 741, 9640, 685, 2359, 543, 2866, 3356, 543, 1223, 948, 873, 1174, 799, 2866, 2553, 27313, 560, 4599, 569, 960, 585, 741, 7504, 269, 634, 3520, 1088, 690, 1504, 454, 1952, 997, 566, 786, 581, 2147, 538, 1374, 543, 10342, 547, 519, 2160, 540, 17638, 779, 2915, 13282, 543, 2359, 9477, 1907, 267, 2915, 8421, 1504, 454, 4940, 898, 568, 17191, 602, 1226, 710, 1239, 689, 519, 3520, 1088, 690, 1504, 454, 267, 799, 616, 5532, 547, 519, 9640, 685, 2189, 661, 5174, 2752, 304, 8446, 1297, 267, 786, 581, 2139, 547, 3173, 538, 2104, 269, 634, 1840, 540, 513, 3593, 22306, 9844, 4183, 786, 1450, 3755, 547, 2671, 741, 7504, 779, 1239, 609, 19393, 267, 16929, 267, 14830, 12579, 610, 1022, 824, 3791, 5428, 602, 519, 3755, 9930, 3729, 563, 1607, 1507, 1353, 1185, 513, 1297, 540, 7687, 267, 799, 649, 4126, 786, 1683, 5583, 547, 2104, 3173, 269, 29594, 757, 941, 7142, 547, 2697, 609, 835, 540, 519, 2185, 30393, 2516, 267, 1317, 519, 3173, 941, 17935, 547, 2445, 1239, 689, 1142, 1895, 269, 1717, 267, 713, 3375, 949, 723, 3361, 930, 10386, 9186, 267, 607, 1082, 17013, 666, 4866, 547, 1142, 540, 519, 2185, 2516, 269, 769, 2104, 2090, 267, 519, 4589, 1131, 18973, 3850, 17013, 547, 2824, 2789, 30393, 2516, 269, 2060, 519, 1699, 1353, 267, 2899, 17013, 1185, 8655, 2933, 883, 513, 30393, 1895, 267, 789, 941, 6035, 30973, 3688, 1759, 593, 602, 3903, 543, 4330, 538, 1893, 3617, 547, 602, 1895, 269, 634, 3017, 538, 1893, 1031, 267, 519, 16866, 543, 3376, 2474, 609, 799, 519, 3688, 941, 4330, 267, 543, 519, 2582, 7142, 3903, 540, 1346, 3688, 267, 1500, 8579, 2079, 4101, 269, 8892, 3173, 1058, 2015, 3246, 17013, 609, 513, 2407, 6609, 540, 1142, 6221, 267, 12570, 741, 1620, 540, 519, 2474, 1031, 543, 3850, 30393, 2516, 547, 7584, 741, 9228, 28252, 563, 18850, 9084, 540, 519, 3095, 547, 519, 5619, 7405, 5941, 1934, 729, 3908, 547, 1514, 2923, 267, 1519, 12108, 267, 21912, 1103, 267, 674, 289, 543, 17749, 267, 538, 1840, 547, 1079, 5907, 20394, 8638, 269, 2755, 1761, 17013, 711, 593, 891, 8638, 610, 1875, 1606, 3469, 2923, 3755, 941, 12691, 547, 1569, 519, 3095, 267, 713, 1826, 540, 3892, 568, 1034, 4122, 1031, 950, 3695, 2872, 2259, 1496, 2918, 454, 4940, 901, 2228, 14374, 949, 723, 11124, 689, 10386, 9186, 607, 621, 568, 2009, 602, 938, 17013, 941, 2693, 811, 7722, 609, 1226, 2787, 2257, 982, 519, 2489, 7504, 2146, 269, 0, 12812, 1934, 585, 8301, 454, 2108, 16676, 6681, 9361, 2110, 839, 1272, 7536, 1432, 798, 596, 1589, 950, 596, 2161, 454, 2710, 596, 14902, 609, 707, 9224, 888, 763, 2622, 2657, 9257, 630, 21766, 264, 814, 10294, 968, 9188, 330, 960, 892, 607, 519, 13567, 1034, 2693, 547, 1205, 7210, 563, 10527, 6455, 2006, 31273, 856, 1010, 10887, 543, 13285, 267, 543, 1010, 14438, 4667, 547, 581, 27571, 2507, 7536, 2791, 949, 2161, 602, 267, 855, 950, 596, 2161, 621, 267, 621, 779, 6157, 3020, 563, 5575, 540, 782, 267, 3425, 616, 711, 2943, 9308, 3710, 547, 1694, 563, 763, 1480, 22403, 568, 1500, 585, 6972, 563, 2252, 596, 3136, 547, 1694, 538, 971, 513, 3510, 267, 707, 14302, 786, 7930, 12900, 543, 707, 12636, 786, 1831, 25302, 563, 18658, 568, 519, 2078, 1063, 11983, 23673, 543, 15325, 18313, 8505, 21978, 13285, 2196, 998, 519, 12636, 563, 8505, 21978, 13285, 4383, 543, 7500, 782, 2694, 540, 519, 1560, 267, 971, 607, 12536, 543, 10338, 267, 1973, 2604, 267, 1973, 2095, 1852, 267, 1591, 10282, 267, 543, 9449, 10282, 563, 15404, 3380, 616, 519, 1152, 3364, 649, 666, 29596, 1852, 563, 31819, 3116, 568, 6417, 676, 519, 8238, 5669, 8401, 1062, 563, 2252, 519, 12636, 267, 998, 799, 519, 1271, 8238, 5669, 13285, 1780, 267, 5170, 547, 1694, 267, 621, 786, 1831, 25302, 563, 10190, 519, 8238, 5669, 13285, 3330, 616, 849, 4299, 543, 18604, 563, 763, 2702, 540, 519, 8238, 5669, 8401, 1062, 547, 4383, 519, 1560, 11081, 563, 1607, 568, 835, 540, 519, 4128, 1946, 9361, 585, 865, 1279, 666, 2110, 523, 707, 1272, 563, 4517, 1776, 2601, 568, 602, 596, 666, 1406, 946, 707, 6091, 563, 14881, 946, 1250, 6091, 585, 2780, 960, 7536, 2791, 949, 2161, 602, 267, 855, 476, 3583, 260, 540, 707, 6091, 616, 538, 707, 2539, 1560, 563, 2252, 596, 1810, 1406, 946, 707, 2539, 1560, 267, 596, 4465, 1406, 581, 3001, 1454, 4887, 563, 3383, 1946, 798, 649, 723, 547, 1847, 938, 6091, 888, 2026, 596, 917, 267, 519, 2295, 15450, 1973, 2429, 519, 1560, 563, 4913, 267, 596, 991, 519, 948, 540, 707, 6091, 547, 6494, 621, 547, 1169, 7944, 540, 707, 1560, 563, 26108, 568, 29253, 547, 1585, 2694, 540, 519, 1560, 676, 519, 19432, 540, 6091, 563, 2252, 596, 1832, 9361, 267, 707, 2295, 786, 723, 547, 960, 2182, 1317, 596, 15991, 946, 707, 6091, 563, 16676, 5224, 538, 713, 1533, 786, 1291, 547, 1164, 1973, 2604, 563, 4517, 950, 621, 3587, 2352, 585, 1973, 547, 3914, 8219, 267, 621, 5012, 547, 3676, 971, 607, 8459, 5821, 543, 6797, 5821, 563, 2108, 3719, 1018, 1058, 594, 798, 609, 1250, 11380, 960, 18313, 763, 1271, 3364, 568, 711, 547, 1694, 1869, 563, 22137, 1397, 602, 1169, 5662, 540, 9361, 6971, 707, 14438, 676, 476, 2537, 3764, 267, 865, 1205, 909, 693, 2547, 2899, 606, 5662, 547, 1205, 513, 4235, 540, 1216, 610, 979, 547, 519, 19880, 563, 4517, 621, 568, 1360, 1271, 711, 547, 6335, 519, 12636, 563, 2521, 547, 1694, 609, 1434, 14302, 563, 20278, 519, 1394, 540, 707, 1688, 593, 707, 22765, 563, 307, 697, 523, 519, 6091, 593, 1312, 5011, 540, 519, 12636, 1175, 1657, 519, 1394, 540, 519, 1688, 543, 2895, 519, 12636, 269, 972, 568, 1916, 2108, 3674, 621, 15502, 952, 594, 1810, 1406, 25858, 856, 1250, 9221, 18313, 8133, 267, 5225, 1810, 1406, 7903, 3054, 563, 303, 5241, 707, 9221, 856, 666, 1118, 1919, 8338, 563, 22492, 1242, 538, 4965, 543, 8238, 5669, 19261, 454, 8505, 21978, 8229, 11285, 12321, 340, 6062, 549, 631, 12011, 1690, 9874, 454, 301, 880, 604, 10044, 1763, 564, 28294, 11494, 18669, 454, 258, 12831, 1833, 1948, 2180, 739, 1738, 5492, 3290, 1948, 25659, 335, 14591, 1948, 1231, 17410, 1948, 534, 3806, 1948, 534, 3806, 5778, 3974, 1948, 13732, 4524, 1948, 338, 577, 16333, 1948, 14006, 31691, 4965, 1948, 3650, 5995, 1948, 323, 20063, 1948, 10915, 12999, 1965, 15047, 4345, 1948, 29754, 540, 14031, 1948, 2246, 21978, 19261, 1948, 520, 8084, 2960, 9605, 258, 291, 19302, 1688, 973, 11798, 4480, 258, 323, 4135, 258, 307, 1195, 533, 22259, 258, 16908, 609, 513, 2915, 0, 304, 26031, 281, 589, 17564, 593, 4165, 529, 30146, 454, 4002, 11728, 267, 5239, 476, 1789, 628, 267, 519, 5800, 6115, 3427, 10588, 18799, 513, 834, 30206, 593, 4165, 529, 30146, 1701, 2991, 606, 1271, 10543, 540, 1804, 1895, 543, 1507, 1895, 7391, 267, 5171, 941, 2111, 547, 10505, 2055, 610, 8292, 602, 789, 1869, 1185, 563, 304, 272, 281, 634, 9860, 540, 24431, 30146, 593, 1514, 2923, 543, 593, 519, 3377, 666, 3339, 1125, 713, 14124, 2623, 269, 1548, 14292, 3292, 547, 13599, 1053, 593, 519, 14195, 543, 24633, 873, 540, 519, 12178, 540, 31328, 13842, 616, 6035, 538, 938, 8664, 888, 288, 272, 281, 4841, 4497, 538, 14195, 6044, 543, 6209, 5188, 2429, 519, 1514, 2090, 6437, 269, 769, 1840, 267, 513, 3099, 540, 3292, 616, 2139, 693, 1142, 1377, 269, 634, 1034, 1699, 17008, 616, 2139, 593, 519, 8664, 779, 16844, 267, 24054, 543, 29621, 2985, 2139, 1934, 610, 896, 519, 3292, 543, 2533, 2985, 593, 519, 8664, 3896, 269, 769, 1840, 547, 519, 4540, 3292, 267, 513, 1297, 540, 1007, 17008, 616, 1373, 16516, 607, 2110, 3856, 3435, 267, 609, 1082, 540, 799, 4742, 5993, 2621, 607, 851, 540, 938, 1279, 3856, 1544, 563, 304, 273, 281, 1772, 972, 4867, 610, 666, 649, 1711, 513, 2875, 1895, 610, 4305, 3196, 547, 1445, 3646, 593, 2069, 543, 6604, 540, 24431, 30146, 538, 5800, 6115, 888, 288, 273, 281, 2311, 5576, 516, 9200, 4400, 3427, 267, 649, 616, 2324, 609, 519, 14640, 5937, 1030, 14212, 13477, 547, 2936, 519, 589, 2622, 540, 16338, 9263, 2866, 1982, 547, 1020, 9263, 3401, 945, 666, 3895, 513, 811, 2318, 543, 8537, 1153, 2528, 563, 304, 274, 281, 1548, 568, 519, 1985, 1900, 547, 1832, 519, 6643, 2469, 267, 543, 875, 666, 649, 1331, 938, 1453, 888, 288, 274, 281, 9442, 267, 9442, 267, 9442, 269, 634, 1985, 1900, 568, 547, 1246, 5346, 519, 968, 30206, 593, 4165, 529, 30146, 892, 609, 6932, 4798, 267, 24152, 14292, 3292, 8345, 538, 1142, 540, 519, 5656, 267, 543, 735, 4979, 713, 1627, 26031, 3561, 563, 9202, 267, 649, 616, 3695, 3292, 547, 1732, 4497, 519, 2146, 538, 713, 1271, 960, 269, 3414, 519, 14640, 5937, 1030, 14212, 13477, 267, 649, 616, 20319, 606, 10543, 2680, 1572, 12056, 8479, 4658, 538, 5262, 2159, 22062, 725, 281, 589, 22544, 585, 14268, 269, 901, 13186, 6663, 547, 948, 3237, 543, 25330, 547, 723, 2085, 29003, 1699, 2680, 7391, 609, 741, 1453, 693, 1753, 269, 11261, 547, 581, 9307, 563, 304, 275, 281, 6496, 519, 1153, 4867, 4001, 3059, 15114, 543, 666, 596, 2671, 621, 286, 1215, 798, 789, 1451, 827, 11967, 2959, 585, 3377, 543, 5013, 865, 789, 666, 1451, 711, 547, 3972, 3388, 593, 1514, 2923, 888, 288, 275, 281, 16504, 281, 4841, 538, 3446, 476, 276, 7119, 538, 519, 6880, 15551, 11286, 313, 12814, 1982, 6035, 998, 4132, 18816, 10644, 7896, 630, 290, 4338, 306, 264, 543, 519, 15822, 4741, 22244, 269, 901, 568, 513, 2582, 8400, 3818, 2173, 4215, 13186, 585, 3446, 476, 276, 1053, 602, 6212, 593, 30378, 543, 5807, 2922, 267, 3743, 2623, 1247, 5883, 519, 5769, 543, 824, 3059, 4066, 563, 12234, 267, 10026, 7172, 12579, 4001, 4559, 593, 3059, 15114, 543, 2923, 7924, 12422, 547, 1053, 918, 268, 276, 563, 29557, 3427 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 901, 568, 513, 811, 4359, 1523, 267, 543, 949, 1134, 1491, 1896, 1296, 585, 519, 1126, 547, 4628, 581, 2111, 547, 9585, 267, 865, 1152, 2318, 8292, 1058, 581, 1500, 593, 707, 19920, 7801, 8942, 538, 713, 2543, 269, 898, 568, 1732, 547, 723, 873, 2972, 7801, 543, 1616, 547, 798, 621, 1419, 1287, 1831, 27209, 676, 2942, 5955, 543, 10792, 30852, 563, 8624, 1681, 9664, 267, 476, 1708, 272, 268, 1556, 268, 3066, 476, 876, 281, 876, 281, 876, 269, 1924, 1631, 602, 14914, 568, 3533, 16042, 543, 596, 723, 1453, 596, 616, 2469, 547, 1616, 547, 1376, 3168, 585, 930, 14914, 7801, 3817, 585, 873, 547, 2972, 1022, 942, 1055, 1153, 269, 1411, 1058, 1413, 585, 930, 7801, 3817, 602, 596, 666, 1820, 1055, 543, 1287, 1413, 585, 930, 7270, 1141, 707, 3214, 666, 2681, 3817, 1247, 2228, 269, 1411, 849, 1616, 547, 1118, 2386, 602, 596, 6006, 856, 593, 22916, 976, 610, 11954, 22796, 610, 8726, 596, 2461, 3214, 685, 5172, 7801, 24881, 559, 4523, 547, 581, 269, 1411, 786, 581, 3246, 707, 3214, 609, 606, 2534, 602, 789, 11613, 2648, 543, 596, 786, 581, 4758, 873, 513, 1390, 4316, 547, 2769, 2933, 543, 581, 3238, 609, 782, 519, 1187, 602, 2501, 609, 14914, 563, 8624, 1681, 9664, 267, 476, 1708, 272, 268, 1556, 268, 2767, 476, 876, 281, 876, 281, 876, 269, 5272, 4819, 14560, 547, 2721, 267, 5862, 543, 2681, 11247, 269, 16974, 3817, 616, 513, 2603, 540, 1187, 585, 3214, 1317, 789, 723, 5432, 3197, 610, 5396, 593, 873, 602, 789, 9305, 547, 269, 17006, 2681, 543, 8744, 519, 3109, 543, 3043, 2985, 547, 1272, 609, 4778, 568, 1360, 2027, 547, 3214, 269, 901, 2376, 786, 1865, 476, 274, 4128, 1946, 513, 21300, 7801, 2985, 568, 6068, 676, 865, 1082, 1453, 269, 476, 272, 269, 11300, 8342, 281, 1684, 596, 3314, 7801, 607, 513, 4819, 286, 898, 814, 1044, 513, 1279, 942, 585, 1034, 540, 721, 269, 2060, 2534, 3817, 267, 3214, 786, 946, 741, 5876, 547, 2824, 4778, 543, 30164, 269, 13689, 2390, 2085, 543, 5578, 267, 930, 786, 31163, 1076, 513, 2582, 2681, 782, 936, 519, 1957, 267, 855, 1866, 786, 2628, 2673, 3007, 547, 9363, 1369, 519, 3515, 543, 1210, 1896, 4778, 547, 1118, 519, 21300, 2985, 513, 960, 540, 1148, 269, 17859, 540, 519, 5578, 1377, 540, 519, 7376, 267, 3214, 1205, 3860, 543, 723, 513, 2603, 540, 1187, 563, 8624, 1681, 9664, 267, 476, 1708, 272, 268, 1321, 268, 4905, 476, 876, 281, 876, 281, 876, 269, 14755, 4543, 519, 1453, 547, 1020, 741, 4337, 5209, 267, 3237, 666, 8415, 2984, 689, 519, 7801, 3817, 547, 4001, 741, 3214, 4052, 4245, 269, 2755, 519, 1453, 616, 11981, 519, 1184, 540, 7801, 519, 2592, 267, 789, 666, 581, 6026, 2418, 602, 616, 1271, 585, 873, 547, 9787, 693, 513, 1762, 2085, 269, 16497, 689, 519, 1483, 1158, 666, 849, 581, 6026, 693, 519, 1482, 942, 269, 1879, 3237, 1491, 519, 942, 547, 2995, 741, 1453, 2984, 607, 789, 2681, 267, 519, 1126, 779, 9345, 568, 2417, 22541, 543, 8476, 269, 3509, 3237, 2907, 917, 602, 7801, 3817, 948, 1020, 741, 1453, 779, 7499, 5759, 269, 1358, 949, 711, 581, 5432, 609, 519, 2081, 602, 1210, 7801, 3817, 666, 948, 741, 2370, 3283, 547, 2087, 741, 1983, 2509, 1603, 269, 1306, 1453, 2259, 7801, 267, 741, 5759, 547, 3251, 1369, 519, 3515, 2087, 936, 942, 269, 901, 5059, 2702, 547, 1852, 519, 22796, 610, 22916, 976, 10502, 568, 606, 1271, 851, 540, 1373, 2111, 547, 3180, 513, 1603, 6293, 1869, 543, 11931, 585, 950, 621, 568, 942, 547, 2721, 519, 5022, 540, 519, 9904, 269, 3203, 2065, 5759, 616, 16916, 543, 22541, 538, 1453, 945, 798, 1134, 693, 7801, 3817, 269, 14755, 713, 267, 789, 786, 1265, 621, 4443, 547, 1376, 1603, 741, 9904, 5022, 950, 519, 942, 585, 713, 2501, 563, 8624, 1681, 9664, 267, 476, 1708, 272, 268, 1321, 268, 6349, 476, 876, 281, 876, 281, 876, 269, 634, 5318, 2338, 540, 2640, 547, 1453, 8026, 593, 7801, 3817, 3274, 666, 711, 581, 936, 26061, 689, 513, 5626, 1448, 540, 2070, 269, 898, 779, 1271, 547, 1376, 1453, 593, 2653, 2592, 865, 602, 789, 666, 1995, 513, 2631, 540, 9740, 269, 1306, 741, 7801, 5578, 10607, 267, 789, 666, 581, 2016, 811, 1950, 3270, 543, 2592, 547, 2681, 269, 29179, 1453, 2835, 543, 3817, 547, 2681, 568, 513, 3810, 2500, 1259, 547, 948, 873, 1831, 1732, 5159, 543, 5830, 267, 547, 5512, 873, 547, 13404, 1732, 267, 547, 2569, 519, 10171, 602, 789, 786, 7985, 689, 2790, 2042, 267, 543, 547, 4001, 873, 1271, 1272, 4245, 543, 2418, 269, 5753, 945, 2253, 7801, 693, 513, 1762, 2085, 786, 2972, 519, 2640, 621, 666, 1655, 578, 585, 1296, 547, 2097, 269, 1411, 666, 1256, 1820, 856, 930, 543, 3180, 513, 7801, 6735, 10838, 707, 3214, 610, 707, 1362, 269, 898, 568, 782, 1932, 1455, 585, 519, 7801, 9212, 602, 616, 2016, 856, 543, 3144, 1753, 547, 1831, 4503, 267, 14324, 267, 610, 1835, 636, 9482, 909, 269, 30052, 971, 8697, 7801, 3817, 616, 1100, 946, 585, 519, 6735, 15042, 269, 14268, 666, 581, 25009, 547, 979, 2228, 543, 1820, 856, 10682, 7792, 7801, 3817, 269, 898, 1152, 3340, 513, 2780, 267, 5769, 4276, 267, 543, 513, 17002, 547, 2097, 909, 609, 971, 513, 16311, 7127, 10682, 563, 8624, 1681, 9664, 267, 476, 1708, 272, 268, 1556, 268, 1789, 476, 876, 281, 876, 281, 876, 269, 1703, 568, 1100, 8969, 602, 3308, 1565, 4249, 513, 1883, 1909, 950, 621, 2501, 547, 1453, 779, 1565, 543, 1646, 269, 769, 1249, 267, 3308, 10752, 616, 4122, 9833, 607, 835, 540, 519, 1034, 1271, 2188, 602, 1039, 513, 2603, 547, 513, 1126, 779, 2038, 2208, 543, 1646, 269, 1280, 519, 5638, 267, 1453, 616, 3362, 6766, 676, 1018, 789, 1294, 267, 5905, 267, 1745, 543, 7119, 811, 982, 1175, 1018, 789, 5873, 269, 10439, 338, 948, 873, 11677, 543, 3314, 4245, 6026, 269, 898, 849, 3217, 1416, 540, 11913, 3765, 23890, 543, 849, 5932, 543, 25601, 741, 1719, 538, 513, 1880, 3992, 269, 898, 568, 1419, 1767, 602, 3425, 267, 2523, 3214, 4043, 547, 3314, 476, 1015, 260, 540, 1018, 789, 5873, 267, 476, 2004, 260, 540, 1018, 789, 1294, 267, 543, 476, 3199, 260, 540, 1018, 789, 1294, 543, 798, 269, 901, 896, 6050, 519, 2956, 540, 3308, 11226, 538, 1565, 543, 1646, 540, 3214, 563, 12179, 1543, 267, 22028, 4882, 267, 610, 824, 1570, 602, 1522, 581, 1336, 593, 713, 3135, 602, 568, 711, 713, 3135, 3959, 3788, 519, 10677, 540, 922, 9757, 8227, 4882, 269, 769, 1100, 1259, 1281, 10871, 295, 739, 3409, 9562, 610, 5539, 585, 971, 3688, 543, 596, 1058, 3343, 3656, 9844, 585, 1022, 946, 540, 971, 2326, 689, 922, 8227, 269, 0, 6826, 24173, 2589, 616, 10770, 610, 16625, 5615, 602, 616, 8966, 267, 26688, 267, 20025, 267, 610, 2014, 2042, 269, 20548, 1833, 267, 7803, 2623, 267, 1219, 4800, 267, 3075, 946, 267, 29383, 267, 20025, 4638, 2623, 267, 538, 3430, 1549, 267, 9658, 1097, 267, 543, 1582, 3620, 1301, 616, 1806, 540, 8965, 2589, 563, 1432, 568, 8965, 2589, 540, 2566, 888, 3849, 3200, 2358, 1299, 1975, 976, 11208, 454, 347, 4002, 707, 1560, 1475, 4002, 707, 7099, 1475, 4002, 707, 2623, 2008, 347, 23175, 5995, 1475, 2304, 3806, 1475, 302, 557, 11661, 610, 3768, 699, 908, 2008, 347, 15404, 2193, 8082, 610, 1928, 1475, 27916, 16531, 1475, 17951, 787, 856, 10767, 7370, 2008, 18871, 4554, 1928, 1475, 299, 871, 540, 8404, 610, 1445, 1475, 291, 2607, 610, 4568, 21568, 2008, 26180, 520, 8982, 1475, 30342, 16397, 1475, 307, 984, 8829, 946, 2008, 1432, 616, 8965, 2042, 888, 2304, 3929, 8965, 4524, 5540, 513, 1268, 779, 2702, 547, 581, 6126, 267, 1852, 741, 4664, 543, 2628, 3007, 538, 1153, 269, 4340, 547, 11829, 7596, 564, 2160, 267, 2589, 540, 606, 3929, 8965, 4524, 1331, 281, 769, 14363, 3527, 610, 4664, 896, 3339, 6381, 563, 1432, 616, 8965, 2152, 538, 4079, 888, 13349, 2175, 1644, 547, 1966, 2623, 1331, 267, 855, 5749, 1406, 3908, 547, 281, 4160, 4524, 269, 3007, 17211, 30759, 4524, 630, 4696, 8461, 264, 17299, 4524, 563, 1432, 616, 1806, 540, 8965, 4713, 888, 763, 1034, 1455, 26688, 7180, 4713, 1331, 11685, 531, 1219, 5050, 4524, 630, 7495, 291, 1070, 2932, 4524, 630, 7374, 264, 543, 3007, 17211, 30759, 4524, 630, 4696, 8461, 1040, 1452, 1614, 24040, 4713, 2671, 930, 1455, 2589, 267, 865, 5868, 666, 581, 2352, 543, 942, 10438, 563, 1432, 616, 476, 276, 9963, 4191, 540, 2566, 888, 1432, 616, 519, 9963, 4191, 543, 2589, 540, 3929, 2566, 888, 268, 1261, 822, 1465, 538, 707, 9221, 267, 2799, 2295, 2557, 610, 9221, 1928, 563, 268, 9701, 518, 267, 8405, 610, 1394, 1928, 282, 2489, 1560, 31191, 543, 24074, 563, 268, 25416, 707, 4522, 610, 804, 523, 4221, 707, 10265, 563, 268, 10374, 1145, 540, 7362, 563, 268, 28214, 13110, 267, 14221, 267, 20158, 563, 3066, 18194, 3264, 7549, 269, 476, 1708, 271, 28314, 563, 1432, 616, 476, 276, 3929, 4191, 540, 2566, 888, 1432, 616, 5626, 543, 3929, 4191, 540, 2566, 888, 268, 12870, 610, 4160, 563, 268, 4911, 518, 267, 29338, 267, 610, 1964, 16531, 563, 268, 28214, 16397, 267, 29267, 582, 17300, 267, 610, 4652, 21682, 563, 268, 24410, 1076, 12008, 610, 12008, 1932, 1454, 563, 268, 681, 5217, 4555, 610, 3586, 5855, 563, 268, 10819, 609, 707, 3965, 610, 5834, 563, 268, 10435, 3983, 3664, 563, 1432, 568, 519, 1034, 1455, 8965, 4524, 888, 2080, 616, 519, 2947, 1034, 1455, 7133, 4892, 2221, 912, 268, 18430, 4524, 269, 6693, 268, 11534, 3789, 531, 1219, 5050, 4524, 630, 7495, 291, 264, 6693, 268, 23206, 17211, 30759, 4524, 630, 4696, 8461, 264, 6693, 268, 9866, 612, 633, 16327, 14601, 4524, 630, 302, 7374, 264, 6693, 268, 19884, 8213, 563, 1692, 798, 596, 4368, 2623, 2042, 888, 1692, 547, 6023, 2352, 7180, 454, 268, 1684, 1018, 7959, 1318, 269, 1548, 596, 798, 814, 547, 581, 1318, 585, 707, 1126, 267, 3054, 543, 519, 1920, 269, 6693, 268, 1684, 711, 2285, 909, 269, 4495, 596, 4076, 4956, 547, 798, 1945, 267, 3136, 547, 798, 621, 269, 6693, 268, 2142, 5812, 269, 6693, 268, 8347, 711, 547, 936, 516, 716, 269, 6693, 268, 13185, 547, 707, 1126, 269, 6693, 268, 2142, 2318, 827, 519, 1434, 1919, 269, 6693, 268, 20644, 12587, 269, 6693, 268, 3680, 1159, 22326, 563, 1692, 798, 596, 1521, 2623, 2042, 888, 6826, 6409, 21831, 531, 4713, 281, 9615, 609, 21911, 543, 7498, 268, 29007, 531, 2126, 998, 2385, 2359, 2866, 610, 1367, 543, 1920, 3797, 666, 581, 1360, 2500, 585, 5883, 24040, 4713, 563, 268, 2405, 1709, 949, 581, 5363, 538, 8156, 5817, 610, 1071, 31507, 2590, 4713, 563, 736, 15800, 19628, 4709, 269, 476, 1001, 278, 28314, 563, 1432, 616, 519, 476, 276, 6764, 592, 572, 6513, 15136, 888, 2467, 616, 2947, 2010, 540, 20949, 1852, 4713, 4857, 607, 1796, 17038, 821, 4713, 281, 737, 548, 696, 2674, 807, 267, 7510, 668, 16492, 267, 26740, 23292, 4524, 267, 27690, 13989, 543, 959, 747, 582, 650, 2674, 807, 269, 6764, 592, 572, 1852, 568, 849, 513, 1883, 4183, 538, 824, 2790, 10108, 267, 1519, 4439, 574, 807, 267, 6219, 6057, 543, 22950, 559, 5362, 563, 1432, 616, 519, 476, 275, 7209, 4713, 888, 268, 4165, 529, 3469, 7209, 4524, 563, 268, 3680, 656, 7209, 4524, 563, 268, 27079, 1467, 7209, 4524, 563, 268, 667, 8817, 7209, 4524, 563, 268, 2876, 337, 31020, 7209, 4524, 563, 268, 715, 2117, 1170, 2065, 7209, 4524, 563, 268, 9866, 612, 633, 16327, 14601, 7209, 4524, 563, 268, 3474, 534, 1355, 7209, 4524, 563, 1626, 18194, 3264, 7549, 269, 476, 1708, 271, 28314, 563, 1432, 3123, 3929, 8965, 4524, 888, 19853, 2623, 6786, 602, 789, 616, 711, 12003, 609, 741, 1604, 610, 9905, 269, 3143, 835, 6487, 519, 4890, 2014, 610, 3123, 540, 3929, 19717, 267, 4352, 1896, 2188, 1765, 22363, 640, 267, 2634, 4524, 267, 2732, 267, 2566, 267, 543, 1920, 8647, 1765, 17647, 1044, 6700, 543, 25525, 3585, 21503, 563, 1432, 3536, 666, 2014, 2623, 2042, 888, 6097, 547, 1082, 3173, 543, 6484, 4966, 267, 519, 1283, 1455, 1426, 703, 11217, 1734, 1331, 912, 268, 3794, 9790, 1107, 19871, 538, 5453, 520, 267, 681, 6614, 267, 744, 1846, 543, 4446, 2917, 563, 268, 17491, 630, 8512, 21871, 952 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 563, 8469, 2787, 543, 24238, 454, 21790, 6888, 543, 9066, 666, 849, 948, 547, 2087, 6617, 269, 8617, 2259, 540, 11009, 666, 948, 547, 2569, 2566, 543, 4160, 607, 1134, 607, 2087, 5834, 543, 1445, 269, 24238, 666, 849, 581, 6225, 585, 2168, 1072, 267, 607, 621, 666, 948, 547, 2569, 1928, 543, 2087, 2168, 2773, 563, 22879, 532, 1133, 11794, 31346, 454, 6624, 1004, 1265, 602, 9319, 14432, 6208, 971, 607, 7296, 267, 6704, 267, 543, 3075, 946, 666, 948, 547, 2087, 741, 1072, 543, 6617, 269, 3502, 1152, 616, 891, 2238, 3983, 585, 707, 2168, 1072, 267, 855, 789, 666, 849, 1291, 547, 2942, 2790, 543, 3929, 1072, 4093, 563, 21093, 2037, 965, 12619, 454, 21093, 7850, 3207, 666, 581, 606, 1271, 851, 540, 4509, 6617, 269, 3502, 1152, 1281, 3478, 2614, 3207, 948, 547, 2087, 1445, 543, 5834, 267, 855, 621, 849, 2337, 547, 10038, 7099, 543, 2569, 2566, 543, 4160, 563, 3383, 267, 799, 540, 519, 1739, 2238, 1281, 711, 2087, 6617, 286, 10251, 267, 972, 3884, 1406, 513, 2582, 2534, 602, 666, 10018, 6617, 1107, 621, 779, 811, 827, 2921, 513, 11455, 1935, 547, 707, 1072, 269, 2334, 1767, 267, 835, 2534, 602, 949, 711, 723, 513, 6825, 1198, 593, 6617, 568, 10918, 269, 2755, 621, 779, 1187, 543, 666, 581, 513, 1390, 1259, 547, 1521, 3054, 610, 8007, 3054, 1310, 513, 3811, 1554, 267, 621, 3884, 1406, 8209, 513, 1463, 1797, 540, 5355, 707, 6617, 269, 0, 1103, 513, 1158, 602, 3006, 3340, 721, 547, 1491, 3063, 3800, 547, 2327, 938, 3106, 8825, 10591, 814, 1831, 5051, 1271, 269, 7324, 891, 8825, 3800, 1560, 24915, 4249, 513, 2629, 1909, 538, 5356, 4027, 1996, 513, 2039, 540, 6937, 269, 769, 713, 2376, 267, 649, 3580, 5490, 883, 519, 1158, 540, 588, 629, 15033, 24915, 630, 10440, 588, 629, 6169, 22514, 264, 3695, 922, 1585, 3029, 267, 1519, 21782, 11259, 267, 6316, 16405, 11259, 267, 543, 3818, 6253, 805, 24915, 563, 1432, 568, 853, 629, 1763, 9665, 14022, 528, 888, 1805, 629, 11259, 24915, 568, 513, 1826, 540, 1560, 24915, 4481, 2966, 547, 2149, 519, 649, 13145, 1996, 6285, 689, 11329, 9604, 899, 31009, 267, 19271, 267, 543, 26389, 269, 853, 629, 11259, 642, 3949, 616, 1500, 547, 2061, 606, 1843, 689, 11579, 7992, 998, 519, 24915, 267, 2147, 547, 16886, 16513, 642, 3949, 855, 609, 512, 7660, 649, 2314, 547, 2061, 4130, 3615, 689, 8429, 998, 563, 29605, 1031, 538, 588, 629, 11259, 543, 21782, 11259, 24915, 1419, 1331, 1164, 4222, 10991, 11103, 899, 3223, 341, 24882, 610, 15190, 571, 267, 543, 22495, 730, 2326, 269, 634, 15827, 540, 891, 2326, 568, 3335, 512, 7660, 982, 602, 1031, 538, 16886, 11259, 642, 3949, 543, 1419, 2882, 513, 4494, 540, 22495, 622, 547, 2333, 519, 8825, 5759, 540, 519, 10053, 3060, 540, 11103, 563, 1432, 568, 22750, 2349, 1228, 1763, 9665, 14022, 528, 888, 10955, 613, 16405, 11259, 24915, 568, 2966, 547, 2149, 1996, 6285, 689, 9604, 609, 513, 5969, 6316, 267, 971, 607, 31009, 267, 5672, 2867, 525, 267, 3092, 269, 901, 1826, 540, 24915, 6663, 547, 2061, 519, 14253, 532, 5163, 540, 891, 9604, 267, 799, 666, 2759, 998, 5958, 543, 2014, 1272, 17116, 7063, 563, 763, 4070, 540, 6316, 16405, 11259, 24915, 1419, 3322, 6106, 540, 2759, 11259, 2326, 971, 607, 513, 1090, 573, 11103, 630, 3697, 3223, 341, 24882, 1070, 16600, 1164, 7636, 2597, 4874, 26120, 630, 3697, 29325, 928, 9047, 610, 15190, 571, 1070, 543, 3006, 1256, 4496, 610, 17375, 3334, 269, 634, 3804, 568, 547, 1711, 513, 11064, 602, 519, 6316, 540, 513, 16405, 3112, 3362, 2759, 998, 563, 1432, 568, 11638, 268, 1320, 805, 14022, 528, 888, 25648, 6253, 805, 24915, 568, 2966, 547, 2149, 519, 649, 13145, 689, 2789, 2010, 540, 6285, 269, 901, 2882, 513, 4999, 540, 3440, 2065, 6937, 267, 1196, 3022, 19059, 267, 26389, 267, 543, 31555, 3196, 8194, 269, 11638, 6253, 805, 24915, 568, 1419, 1031, 676, 1876, 11268, 563, 763, 4070, 540, 3818, 6253, 805, 24915, 9775, 4470, 593, 519, 6937, 621, 779, 2966, 547, 2149, 1996, 269, 898, 1419, 3322, 513, 4999, 540, 2326, 543, 4066, 1031, 538, 588, 629, 15033, 267, 21782, 15033, 267, 6316, 16405, 15033, 267, 543, 16886, 15033, 6186, 832, 563, 13349, 14022, 528, 10049, 454, 28694, 24915, 2326, 991, 547, 581, 1312, 9157, 543, 8465, 267, 2111, 547, 16641, 1713, 3196, 1510, 32485, 519, 649, 13145, 779, 3350, 269, 4400, 3613, 31104, 10991, 11103, 971, 607, 3223, 341, 24882, 267, 29325, 928, 9047, 267, 610, 15190, 571, 616, 1419, 1031, 269, 1452, 2326, 723, 513, 1164, 28995, 4222, 543, 616, 18955, 883, 513, 10053, 267, 8465, 5958, 269, 2368, 6186, 832, 849, 6451, 6106, 540, 22495, 730, 2326, 267, 543, 29322, 585, 3773, 4027, 563, 1320, 805, 20946, 1299, 10466, 454, 763, 2817, 4659, 540, 10456, 630, 25712, 297, 264, 13327, 525, 543, 20964, 2773, 4441, 585, 588, 629, 11259, 24915, 543, 1560, 24915, 269, 634, 22078, 297, 779, 3463, 2157, 616, 2966, 547, 1683, 3755, 609, 513, 1259, 547, 2708, 519, 8825, 7207, 540, 1114, 2010, 540, 1560, 24915, 563, 268, 5426, 4083, 288, 281, 901, 24915, 14014, 1996, 476, 280, 7825, 543, 1547, 2412, 590, 261, 310, 454, 268, 5426, 4083, 281, 901, 24915, 14014, 1996, 1547, 3374, 278, 13804, 636, 13544, 9643, 2571, 1448, 630, 297, 9915, 264, 4439, 7410, 563, 268, 5426, 8633, 288, 281, 901, 24915, 14014, 1996, 1547, 3374, 278, 590, 5456, 29482, 297, 6366, 9224, 4439, 7410, 543, 1547, 4510, 13804, 636, 10859, 18191, 871, 9643, 17860, 1448, 630, 306, 297, 27426, 264, 4439, 7410, 269, 898, 849, 2488, 4027, 1996, 519, 6937, 5018, 538, 20946, 4083, 288, 543, 4083, 563, 268, 5426, 8633, 281, 901, 24915, 14014, 1996, 476, 278, 269, 7830, 7825, 29482, 297, 13544, 9643, 4439, 7410, 630, 308, 2529, 269, 13639, 25084, 631, 3199, 1040, 898, 849, 2488, 4027, 1996, 519, 6937, 5018, 538, 20946, 4083, 288, 267, 4083, 267, 543, 8633, 288, 563, 268, 5426, 10001, 281, 901, 24915, 14014, 1996, 1547, 1789, 1608, 9200, 24915, 1790, 1512, 1424, 4439, 7410, 630, 308, 2529, 269, 13639, 25084, 631, 273, 6673, 264, 543, 519, 6937, 5018, 538, 20946, 4083, 288, 267, 4083, 267, 8633, 288, 267, 543, 8633, 563, 2690, 588, 629, 4187, 267, 519, 22078, 297, 814, 1614, 2157, 896, 476, 18733, 276, 269, 876, 10873, 563, 2414, 1118, 2631, 540, 713, 649, 1101, 1590, 1174, 875, 519, 22078, 297, 11225, 6937, 585, 588, 629, 267, 543, 6316, 6285, 585, 891, 2157, 269, 1677, 2253, 267, 519, 22078, 297, 2306, 1079, 5049, 540, 9604, 585, 588, 629, 543, 16405, 4187, 269, 634, 1101, 666, 581, 1572, 513, 5010, 1362, 267, 789, 979, 607, 2484, 607, 519, 3277, 547, 713, 607, 968, 763, 10754, 892, 1362, 269, 901, 568, 585, 1018, 10492, 666, 2503, 547, 7237, 593, 519, 10754, 267, 971, 607, 20749, 1500, 31009, 267, 32639, 3092, 269, 634, 824, 1362, 3217, 883, 2272, 1561, 14876, 9604, 538, 513, 15494, 531, 9872, 4259, 971, 607, 695, 1161, 267, 26717, 267, 3092, 563, 5804, 891, 1079, 5049, 267, 789, 5635, 9604, 689, 1312, 5049, 547, 513, 1305, 21205, 3989, 676, 513, 476, 272, 268, 1911, 30878, 540, 5256, 4079, 543, 741, 2702, 547, 21556, 519, 24915, 609, 6285, 1210, 891, 9604, 269, 5426, 661, 272, 568, 3989, 607, 519, 476, 5952, 628, 30878, 267, 2495, 1152, 519, 16999, 476, 1428, 270, 1911, 9038, 1223, 21556, 519, 22514, 1210, 835, 540, 519, 1585, 3029, 270, 933, 777, 976, 270, 543, 693, 513, 3099, 540, 7285, 1247, 22215, 269, 634, 661, 273, 1377, 568, 476, 3445, 628, 30878, 267, 543, 661, 274, 568, 519, 476, 9834, 628, 30878, 267, 2495, 1152, 476, 275, 260, 540, 519, 16999, 9038, 1223, 21556, 519, 22514, 563, 25413, 14022, 528, 22436, 543, 32539, 454, 25413, 24915, 568, 17426, 543, 8465, 1818, 621, 6899, 547, 5957, 269, 898, 568, 3622, 5266, 10097, 543, 666, 581, 12816, 1071, 3200, 569, 896, 7802, 269, 1717, 267, 621, 949, 711, 1683, 519, 1482, 1377, 540, 4027, 1996, 1978, 6937, 267, 971, 607, 29461, 4439, 7410, 607, 2182, 24915, 563, 26794, 543, 32539, 540, 853, 629, 19577, 966, 3949, 454, 1805, 629, 6169, 642, 3949, 616, 2966, 547, 2149, 1996, 1196, 3022, 9604, 267, 971, 607, 31009, 269, 1358, 616, 3335, 17426, 543, 666, 581, 12816, 20354, 585, 6905, 5712, 269, 1717, 267, 789, 949, 711, 1683, 7850, 4027, 1996, 3440, 2065, 6937, 8259, 4481, 2966, 547, 798, 865, 563, 26794, 543, 32539, 540, 1975, 833, 19577, 966, 3949, 454, 8967, 833, 6169, 642, 3949, 1683, 4027, 1996, 1561, 14876, 9604, 899, 4672, 26717, 267, 695, 3471, 267, 543, 31009, 269, 1358, 616, 2629, 585, 2043, 693, 1981, 540, 971, 6285, 269, 1717, 267, 899, 588, 629, 6169, 642, 3949, 789, 949, 711, 1683, 7850, 4027, 1996, 3440, 2065, 6937, 8259, 4481, 2966, 585, 891, 563, 26794, 543, 32539, 540, 22750, 2349, 1228, 966, 3949, 454, 10955, 613, 16405, 642, 3949, 616, 2966, 547, 2149, 1996, 9604, 609, 513, 5969, 6316, 267, 971, 607, 31009, 610, 5672, 2867, 525, 269, 1358, 666, 3648, 2569, 519, 1981, 540, 1272, 17116, 7063, 689, 971, 6285, 269, 1717, 267, 789, 949, 581, 1447, 2500, 1996, 31555, 3196, 8194, 267, 3440, 2065, 6937, 267, 610, 11329, 9604, 563, 26794, 543, 32539, 540, 11638, 268, 1320, 805, 966, 3949, 454, 25648, 6253, 805, 642, 3949, 2709, 4027, 1996, 513, 3099, 540, 6937, 267, 1818, 873, 11684, 585, 1114, 3871, 269, 1358, 666, 9192, 588, 629, 267, 21782, 267, 6316, 16405, 267, 543, 3440, 2065, 4027, 269, 1717, 267, 789, 666, 581, 18219, 543, 811, 7199, 982, 824, 2010, 540, 642, 3949, 1813, 547, 519, 2789, 6106, 540, 4027, 563, 25413, 14022, 528, 5288, 269, 10434, 14022, 528, 454, 25413, 24915, 267, 1500, 689, 18955, 610, 22495, 730, 11103, 630, 324, 3052, 1421, 3223, 341, 24882, 543, 772, 295, 300, 310, 14154, 1070, 568, 17426, 543, 8465, 267, 5356, 513, 6899, 4781, 585, 4948, 5957, 269, 898, 779, 2966, 547, 15972, 543, 3500, 1524, 4439, 7410, 610, 2569, 519, 1764, 540, 31555, 3196, 269, 1717, 267, 2571, 24915, 1281, 711, 3247, 29461, 21448, 563, 26773, 24915, 267, 3335, 1500, 689, 2326, 899, 23907, 267, 5374, 267, 610, 4874, 26120, 3091, 811, 7347, 4027, 689, 20711, 956, 269, 901, 1826, 540, 24915, 666, 3247, 29461, 4439, 7410, 543, 1683, 4027, 1996, 8325, 3615, 269, 10434, 24915, 666, 581, 18219, 543, 1447, 6899, 585, 6905, 5957, 563, 1805, 629, 16513, 5288, 269, 25522, 16513, 454, 1805, 629, 6169, 642, 3949, 616, 2966, 547, 2061, 21774, 689, 1196, 3022, 9604, 899, 31009, 610, 7745, 14569, 269, 25522, 6169, 630, 528, 16886, 11259, 264, 642, 3949, 616, 2966, 547, 771, 704, 572, 519, 1764, 1648, 540, 513, 16886, 267, 7303, 621, 689, 11579, 7992, 519, 22514, 563, 2005, 779, 1271, 547, 4063, 602, 1247, 930, 642, 3949, 666, 1683, 1312, 16886, 543, 588, 629, 4027, 267, 513, 22514, 2966, 4481, 585, 835, 949, 711, 8209, 2149, 1996, 519, 824, 563, 2467, 568, 513, 3017, 1063, 13032, 16513, 5288, 16886, 11259, 2705, 267, 649, 4122, 5873, 519, 2165, 968, 31624, 2280, 16513, 22514, 5608, 2705, 2048, 12712, 2280, 11259, 685, 568, 2965, 811, 2953, 607, 1100, 24915, 568, 4625, 16886, 16513, 269, 901, 568, 519, 2601, 519, 22078, 297, 3928, 1114, 24915, 2157, 267, 865, 602, 972, 568, 513, 2312, 6609, 1018, 6937, 24915, 786, 3247, 563, 290, 2753, 1014, 2422, 540, 853, 629, 19577, 966, 3949, 454, 1805, 629, 6169, 642, 3949, 666, 581, 513, 3730, 3106, 2268, 585, 21127, 538, 1978, 22825, 610, 3871, 1141, 972, 779, 513, 1981, 540, 4323, 689, 1196, 3022, 9604, 269, 1280, 1383, 1876, 11268, 267, 3354, 10986, 267, 6765, 10256, 267, 610, 2043, 538, 1164, 6760, 2127, 949, 3442, 547, 5957, 513, 588, 629, 6169, 22514, 585, 3773, 4027, 563, 30265, 528, 5516, 267, 20904, 267, 543, 31701, 14423, 454, 30265, 528, 1058, 581, 5781, 1202, 4624, 585, 4191, 540, 5957, 267, 610, 3441, 269, 898, 1058, 849, 581, 6740, 538, 513, 6366, 538, 513, 3819, 267, 543, 3579, 1604, 547, 2061, 19755, 267, 7509, 267, 543, 3002, 689, 31362, 621, 269, 634, 15325, 540, 519, 24915, 5673, 593, 519, 3302, 999, 7150, 15549, 344, 267, 2705, 585, 2571, 24915, 713, 568, 3622, 476, 276, 1296, 269, 898, 568, 1271, 547, 2638, 707, 1808, 1305, 563, 13349, 853 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 1507, 2361, 6728, 593, 1772, 5055, 4446, 549, 12548, 538, 519, 5449, 24861, 22575, 18630, 267, 2221, 4564, 835, 540, 519, 1158, 779, 3056, 1382, 5238, 269, 5254, 6020, 779, 6703, 1683, 513, 2189, 4316, 585, 1279, 3856, 8733, 2090, 538, 519, 21050, 923, 543, 616, 703, 13208, 1031, 676, 811, 982, 476, 9610, 271, 3744, 267, 1519, 7754, 16120, 2103, 543, 8436, 945, 2097, 1169, 1032, 689, 4081, 543, 1382, 5238, 538, 519, 17113, 543, 1472, 519, 1158, 563, 763, 2518, 5726, 3350, 814, 6603, 513, 7432, 1448, 269, 1284, 723, 13006, 519, 3728, 10605, 540, 7226, 2530, 267, 519, 3395, 1297, 540, 13155, 543, 17255, 2249, 267, 543, 519, 2810, 3432, 540, 2518, 2916, 1689, 269, 8616, 1247, 519, 3978, 1145, 540, 891, 6937, 3112, 581, 17792, 267, 972, 616, 513, 3395, 1297, 540, 1806, 540, 9283, 538, 519, 1072, 540, 2249, 543, 8134, 267, 2059, 609, 2640, 547, 1480, 1134, 5630, 267, 7064, 547, 938, 5726, 3527, 269, 3047, 19630, 1143, 568, 513, 2518, 11036, 602, 22842, 513, 1689, 538, 1445, 689, 1966, 547, 3070, 267, 689, 513, 2631, 540, 2530, 547, 835, 540, 4126, 267, 538, 519, 5188, 827, 5726, 543, 6940, 563, 288, 1715, 5623, 540, 11906, 338, 21277, 1027, 676, 519, 1677, 611, 7731, 267, 11370, 325, 517, 13160, 454, 2026, 1480, 3676, 1831, 15372, 5944, 15084, 11259, 267, 8446, 540, 1007, 31534, 568, 2565, 269, 634, 29647, 547, 611, 543, 824, 2818, 540, 519, 11370, 325, 517, 13160, 1920, 3132, 6878, 4922, 1031, 538, 2757, 12563, 4915, 267, 855, 13155, 1920, 2818, 267, 899, 24861, 779, 11344, 13855, 267, 2311, 601, 22455, 1990, 564, 2131, 328, 267, 949, 14897, 1354, 13031, 741, 11580, 269, 28834, 3744, 543, 9164, 17048, 519, 1634, 6464, 3812, 676, 713, 19917, 1014, 1920, 538, 519, 4750, 540, 6599, 333, 2684, 29108, 1108, 10223, 713, 7361, 10595, 30161, 1819, 1761, 585, 6602, 563, 14071, 2461, 7444, 1565, 547, 9742, 2818, 540, 713, 19917, 1014, 1920, 1232, 13846, 676, 519, 669, 12682, 5090, 16507, 2068, 2223, 1767, 6890, 1729, 594, 9346, 10722, 14162, 267, 7754, 16120, 1014, 5234, 10196, 693, 519, 28834, 23427, 3194, 4659, 630, 4306, 6020, 264, 543, 538, 28029, 787, 8689, 540, 519, 24861, 2549, 874, 756, 1014, 11094, 543, 1763, 26443, 630, 303, 2752, 290, 264, 1788, 269, 968, 6546, 779, 9140, 721, 942, 547, 1174, 1018, 2186, 540, 6464, 789, 3132, 267, 855, 621, 779, 2693, 602, 2831, 538, 741, 2067, 9249, 3132, 606, 1256, 9962, 2039, 540, 7135, 3034, 1428, 540, 476, 5325, 13855, 543, 547, 611, 2249, 1031, 538, 2757, 4915, 4866, 547, 519, 1920, 11370, 325, 517, 13160, 269, 1280, 27453, 267, 5728, 687, 689, 741, 2960, 543, 689, 15374, 2282, 741, 10772, 1572, 1612, 582, 573, 15374, 267, 607, 1134, 607, 689, 741, 7633, 543, 4887, 8031, 723, 1044, 1031, 607, 14319, 585, 5563, 267, 17486, 267, 2860, 267, 2295, 4713, 267, 20178, 1137, 267, 11959, 267, 6553, 267, 1928, 543, 1256, 15978, 563, 307, 2135, 1231, 540, 1079, 1455, 7489, 547, 611, 2249, 267, 11370, 325, 334, 575, 1173, 541, 714, 753, 543, 667, 18636, 7469, 787, 333, 639, 14264, 739, 1112, 639, 267, 3132, 519, 1884, 4618, 1356, 14319, 1634, 607, 26960, 2672, 543, 7354, 810, 538, 3624, 543, 3567, 267, 6606, 269, 6271, 7041, 1031, 547, 1521, 2860, 543, 17537, 267, 13535, 778, 753, 340, 610, 28037, 984, 18860, 659, 7236, 267, 568, 14931, 676, 519, 4457, 3557, 5253, 543, 10684, 10029, 269, 769, 8478, 267, 519, 6418, 8219, 540, 519, 547, 611, 267, 10910, 514, 7578, 11634, 928, 3187, 328, 267, 616, 4294, 547, 9640, 547, 1521, 519, 21313, 13206, 1258, 9047, 1660, 322, 2801, 269, 769, 8050, 267, 1349, 689, 519, 547, 611, 11370, 325, 334, 1207, 325, 334, 568, 1031, 547, 1521, 11876, 1993, 4232, 538, 13184, 269, 769, 3624, 267, 3345, 543, 3162, 9705, 267, 678, 4545, 1667, 946, 519, 5779, 540, 11370, 325, 334, 575, 1173, 541, 714, 753, 547, 1521, 678, 5407, 335, 652, 563, 18744, 513, 1507, 8167, 540, 519, 811, 982, 476, 276, 3199, 2249, 538, 519, 11370, 325, 517, 13160, 1920, 723, 1044, 29971, 676, 3744, 269, 968, 1103, 24861, 267, 711, 1152, 798, 649, 723, 1569, 547, 606, 5863, 4763, 540, 19917, 1014, 2249, 2223, 1767, 3057, 4897, 3626, 28066, 328, 2946, 337, 30959, 267, 31375, 693, 519, 4741, 585, 26085, 543, 10684, 20570, 693, 24861, 779, 1533, 1382, 20576, 267, 2382, 527, 19513, 632, 15766, 30685, 525, 595, 1304, 881, 553, 586, 4419, 545, 3930, 632, 1325, 3279, 570, 1815, 333, 860, 807, 630, 18853, 2975, 3008, 2969, 1070, 968, 933, 2461, 3384, 1007, 2527, 26563, 4479, 543, 6046, 6419, 16982, 21655, 2553, 547, 1118, 621, 4443, 543, 14949, 547, 30881, 519, 3114, 3889, 540, 519, 30175, 6950, 267, 28335, 267, 30902, 543, 5946, 3812, 676, 891, 2831, 269, 1284, 960, 5702, 609, 1200, 7065, 5505, 865, 607, 711, 547, 2417, 21279, 5095, 540, 891, 2249, 538, 519, 3552, 1848, 4256, 3646, 547, 17048, 6464, 3812, 676, 519, 11370, 325, 517, 13160, 3769, 3173, 689, 519, 2160, 540, 24861, 267, 966, 6387, 321, 2830, 2160, 267, 538, 17906, 267, 772, 2529, 6993, 269, 543, 21926, 776, 320, 18491, 541, 329, 10044, 2160, 538, 717, 2863, 584, 267, 3127, 563, 7197, 540, 519, 6464, 3812, 676, 20883, 543, 547, 6758, 2149, 873, 1996, 11975, 269, 2311, 601, 22455, 1083, 639, 3568, 15067, 16967, 582, 582, 28845, 269, 932, 597, 19891, 28845, 568, 1336, 538, 2311, 601, 22455, 1929, 657, 639, 267, 835, 540, 519, 1101, 2249, 602, 29622, 16309, 538, 9960, 538, 24811, 607, 1134, 607, 538, 2311, 601, 22455, 9848, 874, 639, 543, 2311, 601, 22455, 669, 597, 1172, 16772, 529, 269, 1323, 693, 601, 641, 573, 1729, 343, 514, 630, 345, 564, 2131, 527, 28845, 264, 689, 519, 7754, 16120, 1014, 11344, 13855, 267, 2311, 601, 22455, 1990, 564, 2131, 328, 267, 5526, 547, 2874, 540, 1079, 13802, 269, 1677, 343, 1231, 689, 513, 2582, 13855, 2960, 666, 6146, 476, 9873, 268, 1911, 271, 8983, 563, 763, 11344, 13855, 267, 589, 269, 1990, 564, 2131, 328, 267, 24861, 779, 3084, 13855, 267, 568, 519, 1152, 2249, 540, 519, 12593, 2311, 601, 22455, 602, 5728, 525, 1990, 564, 2131, 527, 2135, 1231, 269, 21784, 2989, 676, 519, 669, 12682, 5090, 16507, 2068, 602, 3468, 338, 519, 2960, 543, 3123, 2295, 6285, 267, 609, 4015, 585, 519, 16678, 4620, 4123, 543, 676, 7226, 9552, 267, 952, 11344, 20883, 941, 547, 14897, 267, 789, 1131, 1491, 713, 5732, 3407, 3114, 609, 873, 563, 5415, 982, 476, 1789, 2600, 540, 27738, 538, 519, 1158, 616, 538, 7771, 269, 681, 5217, 547, 3251, 6619, 540, 519, 5951, 540, 2068, 10825, 2066, 6239, 3013, 267, 24861, 568, 3056, 519, 1259, 538, 5726, 3646, 269, 634, 28834, 779, 24861, 2549, 874, 756, 1014, 1763, 26443, 543, 11094, 1788, 630, 303, 2752, 290, 264, 4857, 1896, 2311, 601, 22455, 2249, 538, 8594, 540, 14486, 267, 543, 616, 1565, 875, 547, 1711, 519, 2175, 2877, 547, 9742, 873, 538, 24811, 269, 3502, 1152, 798, 3662, 1416, 339, 5474, 693, 741, 6703, 538, 717, 14781, 320, 543, 4432, 966, 4150, 267, 24861, 4603, 547, 3605, 1018, 519, 20883, 3548, 267, 789, 849, 30712, 519, 1697, 1604, 519, 3003, 13855, 1272, 268, 12860, 281, 4212, 18413, 267, 4212, 554, 10248, 543, 512, 611, 335, 1961, 6668, 267, 547, 6707, 9742, 2311, 601, 22455, 269, 3962, 2249, 814, 2189, 4170, 267, 1818, 621, 606, 7199, 4161, 547, 1711, 713, 25424, 779, 818, 330, 585, 27738, 563, 763, 3114, 2679, 7161, 27738, 946, 547, 1711, 6757, 7135, 2097, 689, 2959, 1519, 741, 2732, 267, 2960, 15374, 610, 1623, 25027, 14471, 269, 1677, 6758, 538, 519, 12593, 9253, 534, 2684, 787, 333, 29234, 3524, 6856, 9067, 30858, 30175, 6950, 689, 741, 1950, 2732, 9967, 540, 21746, 543, 17605, 269, 12824, 1336, 602, 13802, 1336, 538, 513, 3552, 2275, 4381, 2249, 540, 2311, 601, 22455, 1223, 711, 581, 9678, 689, 20883, 6659, 538, 24811, 281, 1776, 2601, 547, 18359, 13855, 7226, 543, 547, 2253, 547, 2263, 519, 7872, 540, 16089, 20883, 26870, 538, 24811, 1394, 883, 519, 3552, 563, 9596, 811, 827, 27738, 676, 9683, 519, 24315, 290, 5816, 543, 519, 24861, 779, 674, 29672, 29838, 338, 8858, 693, 519, 28834, 779, 595, 2544, 3630, 8672, 7186, 4741, 538, 24861, 563, 763, 28834, 23427, 3194, 4659, 267, 2212, 32483, 1229, 538, 24861, 4975, 267, 24861, 267, 568, 513, 851, 540, 519, 28834, 26323, 269, 634, 4659, 2417, 338, 519, 1620, 540, 9341, 2470, 543, 922, 2956, 547, 1480, 10304, 267, 14884, 1053, 547, 2932, 1382, 538, 519, 21050, 923, 543, 8992, 5726, 676, 2810, 1857, 4656, 540, 519, 5898, 543, 2956, 540, 9341, 8134, 269, 19534, 269, 8871, 334, 3381, 563, 258, 1948, 1948, 454, 305, 617, 3419, 22222, 267, 15443, 601, 9222, 267, 24305, 1231, 4149, 19431, 267, 7200, 1047, 267, 25592, 2033, 345, 267, 6890, 1729, 267, 20736, 656, 5025, 337, 577, 756, 1245, 267, 14022, 18372, 267, 28066, 328, 2946, 337, 30959, 267, 3057, 4897, 3626, 269, 476, 1001, 277, 269, 1677, 343, 1231, 543, 14278, 10999, 3742, 7135, 689, 2249, 540, 519, 1920, 11370, 325, 517, 13160, 630, 8649, 874, 28992, 267, 1323, 3120, 1040, 4750, 540, 6599, 333, 2684, 29108, 1108, 267, 8222, 281, 1015, 269, 6200, 277, 10768, 12459, 788, 269, 1001, 277, 269, 1321, 269, 28512, 454, 293, 5766, 338, 2339, 269, 1306, 513, 4819, 538, 21543, 1153, 267, 594, 3314, 11287, 512, 611, 335, 3421, 23009, 846, 883, 13855, 7410, 1318, 1354, 938, 4064, 538, 519, 4928, 269, 898, 729, 899, 8384, 513, 9059, 8945, 936, 543, 936, 1586, 269, 1306, 594, 8057, 811, 5461, 538, 891, 3579, 2370, 7068, 267, 594, 4121, 602, 930, 20883, 16196, 1210, 533, 537, 2583, 267, 1866, 676, 24948, 741, 1378, 5798, 543, 1036, 4026, 23550, 741, 1762, 267, 1866, 1869, 676, 18413, 5798, 602, 24011, 2047, 883, 2370, 13855, 7410, 269, 898, 729, 899, 12423, 711, 835, 9059, 8945, 267, 855, 606, 3003, 9589, 1158, 1765, 21955, 713, 1158, 729, 1100, 21903, 267, 621, 729, 1483, 269, 3733, 24233, 2833, 1312, 538, 519, 4928, 543, 856, 15555, 332, 1645, 1472, 4411, 24925, 22253, 693, 3781, 609, 1250, 1655, 3659, 543, 513, 2212, 331, 2086, 838, 13899, 803, 883, 513, 4876, 538, 519, 6211, 9443, 269, 1358, 849, 1128, 2683, 538, 803, 513, 2620, 7071, 585, 519, 6909, 4763, 540, 1272, 563, 9213, 594, 993, 5059, 593, 25137, 602, 6909, 4763, 4481, 1851, 27738, 538, 24861, 267, 799, 568, 1753, 547, 606, 4230, 15929, 476, 20969, 19917, 1014, 2249, 269, 2107, 693, 2547, 621, 729, 269, 1879, 513, 14686, 19917, 1014, 669, 12682, 5090, 17343, 25626, 998, 267, 8370, 2249, 20374, 7357, 267, 1519, 519, 2197, 779, 3084, 3662, 267, 519, 4190, 7754, 16120, 1014, 11344, 13855, 563, 7712, 476, 1220, 280, 267, 519, 24861, 2549, 874, 756, 1014, 1763, 26443, 543, 11094, 5741, 814, 27490, 20243, 3646, 547, 3142, 693, 16151, 2249, 883, 15063, 10540, 338, 547, 11878, 856, 519, 7088, 1247, 649, 960, 593, 4466, 513, 10826, 269, 1284, 4076, 5249, 609, 4891, 547, 2932, 1896, 6901, 538, 3406, 540, 513, 10826, 543, 547, 1732, 1174, 1946, 930, 20883, 5706, 3968, 543, 1866, 798, 711, 269, 1284, 723, 3710, 1007, 6703, 602, 2777, 3810, 13155, 2249, 540, 27738, 607, 851, 540, 513, 8273, 2518, 7903, 547, 1711, 606, 968, 8649, 874, 756, 1014, 18206, 1848, 1452, 3646, 543, 1346, 540, 938, 9164, 1472, 519, 1158, 2285, 803, 7096, 4126, 585, 938, 19917, 1014, 2828, 563, 3719, 649, 991, 707, 948, 563, 7212, 20883, 616, 519, 19762, 560, 1537, 20457, 547, 1169, 11432, 543, 4104, 267, 20883, 723, 1100, 5639, 547, 2099, 2933, 267, 543, 789, 6157, 666, 1406, 2328, 11974, 269, 898, 779, 909, 547, 3318, 5726, 1235, 267, 1519, 519, 15063, 1788, 779, 476, 1321, 16805, 5726, 1235, 538, 24861, 267, 547, 4688, 20883, 865, 602, 1866, 666, 2972, 873, 269, 901, 267, 2705, 267, 3340, 2724, 269, 3245, 1631, 2394, 519, 1439, 540, 4864, 267, 938, 21464, 13384, 528, 13642, 29838, 12544, 2518, 2228, 2533, 8502, 609, 513, 17512, 881, 2012, 1765, 15884, 6474, 23190, 547, 519, 15063, 1788, 909, 547, 1269, 736, 267, 1822, 267, 4543, 721, 6318, 2724, 2565, 547, 938, 4339, 585, 20883, 269, 2659, 23190, 1282, 519, 674, 697, 585, 29838, 338, 5859, 786, 4444, 721 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 2690, 519, 3483, 540, 713, 7084, 267, 519, 22099, 547, 581, 9916, 616, 519, 1340, 539, 476, 2735, 271, 1608, 9109, 737, 548, 514, 1820, 543, 8613, 22099, 799, 12286, 519, 1287, 476, 1428, 4458, 6040, 2156, 5803, 695, 3658, 538, 513, 2960, 9395, 6292, 540, 519, 14704, 779, 3954, 574, 14247, 753, 269, 27869, 737, 548, 514, 568, 513, 2518, 6197, 6216, 602, 28837, 12050, 267, 11636, 16431, 543, 513, 6822, 10631, 633, 267, 543, 1419, 8766, 267, 12716, 649, 3343, 547, 26497, 543, 8300, 938, 5304, 1247, 1210, 1008, 25607, 1547, 634, 2856, 568, 547, 1413, 883, 519, 10229, 11044, 585, 1608, 9109, 737, 548, 514, 543, 546, 330, 5500, 14247, 753, 543, 1174, 741, 10229, 2994, 593, 835, 1688, 563, 9773, 9109, 737, 548, 514, 476, 13078, 342, 4375, 5500, 322, 781, 530, 850, 552, 31352, 1774, 16463, 1299, 5679, 527, 5370, 616, 909, 585, 840, 19195, 1413, 585, 519, 3818, 2173, 4215, 10229, 5859, 547, 2408, 538, 1820, 267, 3059, 543, 1514, 12043, 267, 607, 1134, 607, 1547, 15775, 929, 547, 979, 10194, 593, 1514, 2923, 568, 519, 5326, 540, 1034, 12478, 267, 543, 6752, 3549, 616, 1100, 9868, 1608, 9109, 737, 548, 514, 896, 18875, 814, 2141, 9738, 513, 4464, 6253, 9722, 3059, 4527, 267, 543, 1547, 918, 2643, 773, 795, 523, 1676, 779, 1608, 9109, 737, 548, 514, 1514, 2923, 2022, 562, 629, 5523, 1269, 1240, 332, 789, 5659, 519, 2923, 1764, 1871, 1055, 835, 540, 1200, 9708, 607, 3379, 547, 2757, 10229, 267, 1820, 543, 2228, 10229, 4586, 7072, 547, 2923, 2090, 476, 15150, 6200, 7084, 835, 5033, 8438, 2079, 540, 4008, 538, 10229, 22099, 2291, 607, 513, 1797, 540, 9513, 2472, 676, 269, 6875, 513, 32708, 281, 7711, 22894, 622, 17624, 520, 807, 267, 13227, 1117, 676, 7711, 9618, 2917, 933, 597, 585, 519, 5614, 476, 1001, 277, 10229, 5859, 1948, 3240, 5632, 341, 1231, 513, 8666, 11540, 676, 1608, 9109, 737, 548, 514, 31822, 5632, 341, 30257, 514, 264, 593, 949, 476, 280, 267, 476, 1001, 277, 693, 476, 274, 281, 3393, 10975, 533, 19049, 269, 7179, 2376, 8292, 3023, 344, 1608, 9109, 737, 548, 514, 18537, 8141, 535, 6798, 14374, 676, 17328, 3121, 12732, 694, 4697, 476, 280, 267, 476, 1960, 276, 519, 14247, 753, 18537, 602, 1608, 9109, 737, 548, 514, 1651, 5063, 15504, 689, 17476, 543, 2011, 30335, 4534, 1310, 1547, 2296, 538, 519, 2923, 13526, 2541, 22099, 543, 519, 11580, 3297, 621, 11643, 676, 281, 21473, 30241, 544, 2801, 740, 601, 2088, 533, 513, 3861, 705, 268, 274, 321, 11643, 547, 281, 1743, 804, 7596, 8291, 2545, 584, 534, 1775, 4367, 649, 28297, 519, 5898, 540, 5033, 7821, 547, 519, 13085, 8186, 540, 519, 7819, 14544, 30479, 533, 15127, 543, 519, 2220, 1170, 8059, 626, 7542, 27849, 1547, 769, 476, 1220, 276, 267, 519, 5033, 8438, 19710, 2813, 2048, 15710, 874, 18319, 16224, 513, 5479, 1673, 20683, 32709, 6216, 585, 1608, 9109, 737, 548, 514, 621, 779, 1869, 676, 2484, 741, 1034, 3811, 6216, 2443, 513, 5479, 9489, 568, 513, 1360, 15061, 7447, 621, 779, 513, 8799, 1383, 540, 1018, 649, 666, 798, 950, 649, 2461, 5963, 25793, 14414, 593, 519, 1158, 267, 2016, 606, 4586, 3849, 3200, 2358, 5859, 540, 1608, 9109, 737, 548, 514, 543, 519, 1453, 538, 519, 11147, 20595, 1152, 1608, 9109, 737, 548, 514, 896, 3258, 906, 630, 332, 4215, 4656, 3060, 264, 519, 535, 6798, 11567, 1547, 13028, 519, 14820, 540, 1608, 9109, 737, 548, 514, 827, 6725, 14920, 267, 1587, 2283, 7081, 267, 543, 2870, 513, 6216, 602, 568, 3023, 344, 538, 811, 2081, 982, 835, 538, 891, 1608, 9109, 737, 548, 514, 9889, 762, 10530, 9889, 762, 24185, 689, 1608, 9109, 737, 548, 514, 827, 519, 4638, 6725, 267, 10229, 267, 543, 6455, 540, 519, 1608, 9109, 737, 548, 514, 6216, 543, 25584, 15545, 4208, 1608, 9109, 737, 548, 514, 512, 11474, 513, 2923, 8116, 540, 2594, 1412, 527, 781, 1100, 3476, 519, 2395, 540, 1175, 519, 2757, 1820, 4444, 8339, 634, 666, 6598, 1402, 22459, 786, 4183, 7258, 6867, 577, 2706, 16347, 561, 4673, 6149, 538, 1608, 9109, 737, 548, 514, 14247, 753, 543, 1608, 9109, 737, 548, 514, 896, 18875, 781, 2518, 3818, 2173, 4215, 10229, 5859, 9205, 543, 1820, 1547, 3958, 267, 1608, 9109, 737, 548, 514, 9250, 922, 5001, 1820, 10229, 5859, 585, 922, 1007, 32709, 267, 1608, 9109, 737, 548, 514, 2021, 267, 519, 1101, 1608, 9109, 737, 548, 514, 32709, 547, 581, 2919, 896, 519, 5075, 540, 986, 325, 1138, 976, 519, 5859, 2934, 8366, 20421, 11051, 543, 9739, 540, 741, 5108, 267, 561, 1575, 7534, 562, 344, 784, 262, 334, 543, 1094, 7546, 572, 678, 517, 534, 563, 1692, 2923, 5540, 2021, 713, 476, 279, 2985, 5098, 1957, 5654, 693, 1585, 3029, 540, 2923, 1519, 1820, 10229, 267, 5010, 338, 267, 8613, 5752, 267, 8874, 267, 2575, 7044, 543, 811, 547, 1865, 875, 2923, 781, 2592, 1860, 2021, 781, 1582, 12635, 269, 6206, 1913, 281, 5033, 7821, 267, 2923, 1543, 267, 10229, 267, 5304, 267, 5033, 8438, 1379, 476, 10384, 330, 266, 1382, 3785, 6443, 585, 1863, 476, 272, 5033, 7821, 543, 2923, 1543, 1743, 21473, 30241, 27442, 1188, 531, 1608, 9109, 737, 548, 514, 859, 10280, 1547, 634, 25194, 540, 1608, 9109, 737, 548, 514, 281, 513, 7406, 2079, 540, 2923, 11407, 827, 519, 27362, 476, 1960, 276, 1608, 9109, 737, 548, 514, 14247, 753, 10229, 5859, 563, 763, 2923, 1870, 281, 10229, 4534, 1039, 754, 659, 531, 9109, 737, 548, 514, 568, 11198, 532, 267, 543, 18534, 17415, 267, 930, 896, 18875, 18537, 1310, 811, 20286, 616, 4862, 32275, 7178, 7902, 2063, 3923, 538, 1820, 543, 9205, 1547, 8745, 1934, 7548, 2012, 1934, 1576, 2012, 15292, 476, 866, 267, 476, 1001, 273, 6404, 6835, 538, 3954, 574, 281, 21264, 532, 519, 5033, 7821, 538, 513, 4583, 476, 2735, 271, 1820, 29275, 2687, 547, 555, 269, 27869, 737, 548, 514, 781, 5767, 896, 18875, 740, 10023, 606, 909, 12921, 7398, 8929, 540, 546, 4314, 957, 816, 737, 331, 4673, 737, 597, 626, 523, 267, 476, 2420, 267, 814, 1044, 1025, 16556, 593, 1514, 2923, 607, 1373, 1412, 920, 788, 344, 262, 543, 814, 1044, 6010, 2989, 547, 27127, 2762, 269, 0, 10915, 619, 547, 519, 6111, 543, 11007, 540, 1239, 1369, 513, 2078, 563, 1103, 3347, 267, 1239, 568, 5532, 1063, 1079, 610, 811, 7515, 269, 901, 568, 6913, 676, 2348, 519, 4914, 1883, 630, 514, 519, 2404, 3349, 264, 4704, 513, 3119, 1883, 1871, 630, 514, 519, 3119, 1107, 610, 2385, 1107, 3349, 1040, 5221, 540, 713, 267, 649, 991, 547, 2327, 602, 1239, 593, 1312, 5011, 540, 519, 2078, 2611, 16856, 563, 3383, 267, 1201, 22460, 8699, 3340, 602, 267, 8164, 513, 4914, 1883, 1871, 568, 1031, 621, 1590, 4704, 513, 4570, 267, 4540, 3119, 1883, 538, 519, 2385, 3349, 563, 2690, 1383, 267, 952, 649, 18419, 2594, 1297, 476, 1428, 538, 513, 3119, 3349, 267, 649, 991, 547, 581, 2386, 602, 972, 779, 1100, 4914, 1883, 538, 1022, 1644, 3349, 609, 519, 1871, 540, 476, 1428, 269, 1284, 1058, 1152, 581, 2111, 547, 18419, 513, 3119, 1883, 952, 972, 616, 1100, 2404, 5638, 269, 19227, 267, 649, 1131, 1439, 909, 609, 606, 29152, 539, 2594, 563, 2080, 267, 519, 1644, 3349, 3568, 513, 4914, 1883, 1871, 602, 3085, 1406, 2291, 538, 519, 3119, 1883, 2361, 540, 519, 3119, 3349, 630, 328, 4318, 269, 519, 968, 4467, 11952, 27306, 892, 2361, 1040, 901, 814, 8507, 538, 606, 968, 6973, 534, 539, 2594, 9731, 3383, 1201, 22460, 8699, 786, 2061, 3755, 689, 912, 268, 17006, 5638, 547, 513, 1644, 3349, 952, 972, 568, 1100, 2404, 2594, 538, 519, 3119, 3349, 563, 268, 21744, 2418, 538, 513, 3119, 3349, 602, 1267, 538, 29152, 539, 5638, 538, 513, 1644, 3349, 563, 268, 1546, 548, 1154, 5638, 689, 513, 3119, 3349, 952, 972, 616, 12805, 1644, 5638, 563, 3519, 25119, 540, 513, 19768, 540, 4676, 22460, 6715, 31772, 454, 288, 3668, 540, 1201, 22460, 8699, 538, 513, 6538, 666, 1291, 547, 18106, 1239, 1373, 8120, 267, 2356, 609, 1100, 16315, 540, 606, 5470, 269, 901, 1223, 1267, 538, 5638, 1373, 968, 331, 739, 892, 538, 519, 6538, 267, 1317, 789, 2461, 2760, 8120, 538, 14511, 610, 5359, 563, 2005, 1223, 849, 1267, 538, 9490, 2164, 17729, 538, 5359, 630, 7945, 607, 2472, 1510, 606, 2404, 2754, 1916, 7775, 8338, 2943, 267, 621, 1223, 1267, 538, 5561, 711, 8391, 2472, 789, 6976, 585, 563, 310, 16017, 1869, 267, 621, 1223, 1860, 1272, 543, 2669, 3871, 267, 971, 607, 513, 6413, 3461, 711, 8391, 519, 2953, 2126, 267, 610, 513, 9568, 8323, 2319, 711, 8391, 519, 2953, 7727, 610, 1344, 563, 8269, 22460, 8699, 568, 513, 15410, 540, 1239, 8699, 267, 799, 568, 7255, 609, 519, 6111, 543, 11007, 540, 782, 1239, 630, 30447, 1222, 610, 6382, 1040, 24367, 1239, 8699, 568, 513, 2629, 851, 540, 2324, 609, 12240, 563, 3674, 570, 612, 538, 2048, 307, 612, 540, 519, 546, 262, 21589, 828, 341, 14792, 262, 17814, 607, 1373, 3743, 585, 1200, 1378, 27757, 286, 1496, 23486, 476, 2412, 22995, 2639, 312, 2293, 568, 513, 18991, 2312, 1557, 269, 1411, 2328, 1360, 1134, 267, 543, 707, 18340, 568, 17175, 547, 1224, 269, 1411, 4312, 849, 2944, 707, 1382, 543, 621, 2982, 269, 1703, 568, 513, 7415, 3668, 540, 13112, 776, 827, 2486, 610, 22158, 538, 707, 4062, 267, 543, 596, 4312, 13603, 666, 5500, 10530, 689, 707, 6281, 2959, 602, 30881, 543, 2198, 622, 707, 7440, 563, 2791, 4312, 849, 4092, 930, 4898, 2685, 1808, 24185, 689, 707, 3119, 2707, 547, 1489, 707, 4661, 602, 10434, 344, 781, 15669, 1623, 12949, 2478, 609, 570, 612, 269, 2368, 540, 707, 2673, 13220, 616, 4898, 2685, 4230, 1393, 267, 607, 950, 596, 1448, 856, 602, 570, 612, 5579, 2803, 19664, 267, 2864, 982, 4971, 532, 1864, 269, 590, 2775, 569, 1447, 10388, 568, 707, 25195, 602, 570, 612, 568, 519, 6408, 540, 22176, 322, 781, 4064, 282, 594, 14353, 596, 1522, 723, 1336, 1732, 24185, 267, 11673, 267, 610, 13685, 3954, 23395, 22176, 322, 781, 22401, 563, 2791, 616, 5693, 1360, 1434, 693, 13197, 543, 18445, 606, 4661, 269, 594, 5000, 596, 547, 581, 513, 3787, 811, 8097, 538, 707, 1985, 1557, 282, 5310, 3442, 513, 1447, 3551, 1888, 543, 1294, 1141, 621, 3217, 596, 563, 8923, 1294, 15513, 539, 4967, 2429, 593, 2110, 2287, 5220, 543, 8384, 585, 26893, 10943, 1182, 630, 921, 848, 1413, 713, 2165, 909, 538, 513, 2511, 8261, 952, 621, 568, 14542, 1040, 0, 10403, 1557, 281, 519, 10617, 676, 4626, 18333, 1265, 2917, 24134, 3989, 607, 519, 957, 540, 1175, 4328, 1945, 547, 4196, 607, 606, 11807, 2601, 610, 28195, 585, 938, 269, 654, 342, 328, 268, 5028, 2000, 527, 267, 5339, 20400, 513, 5339, 2079, 540, 9909, 676, 4626, 18333, 1265, 2917, 2489, 2055, 513, 5339, 2079, 540, 519, 10617, 676, 4626, 18333, 1265, 2917, 585, 5339, 2079, 269, 634, 10617, 5758, 4626, 18333, 1265, 2917, 1265, 2917, 779, 519, 10617, 2223, 538, 666, 6598, 3332, 1100, 476, 11011, 6010, 8864, 543, 519, 1148, 540, 519, 1138, 850, 538, 4626, 18333, 1265, 2917, 779, 519, 10617, 269, 634, 2112, 540, 519, 10600, 2079, 5339, 3457, 538, 519, 2112, 540, 519, 10600, 13513, 519, 2112, 540, 519, 10600, 568, 606, 5863, 2140, 952, 596, 1616, 547, 6133, 707, 1433, 269, 30227, 1265, 2917, 779, 476, 3192, 278, 3209, 32586, 10617, 519, 10617, 5758, 4626, 18333, 1265, 2917, 519, 10617, 4729, 7650, 543, 2079, 2854, 676, 606, 4810, 5339, 10404, 269, 2782, 676, 4626, 18333, 1265, 2917, 676, 959, 22781, 555, 15106, 593, 840, 17844, 5339, 2079, 2112, 676, 4626, 18333, 1265, 2917, 10452, 593, 4655, 910, 519, 3844, 4655, 538, 519, 1650, 269, 634, 10617, 676, 4626, 18333, 1265, 2917, 952, 596, 3576, 513, 6213, 12391, 1268, 543, 1305, 873, 538, 519, 22984, 540, 513, 26093, 1858, 267, 1018, 798, 596, 1589, 1131, 267, 4755, 269, 10374, 1650, 10007, 4626, 18333, 1265, 2917, 2079, 3992, 476, 274, 4626, 18333, 1265, 2917, 519, 10617, 535, 322, 19986, 3916, 9693, 540, 2083, 760, 3626, 543, 15599, 2089, 710, 3332, 2852, 540, 6575, 543, 563, 17138, 3259, 2681, 12773, 2433, 2186, 1042, 267, 676, 12354, 822, 807, 855, 2401, 910, 519, 3209, 513, 5339, 2079, 540, 519, 10617, 676, 4626, 18333, 1265, 2917, 896, 519, 2140, 2186, 1042, 568, 513, 15999 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 1788, 834, 28874, 519, 3262, 540, 1434, 2259, 538, 10451, 267, 5883, 267, 30228, 543, 14379, 8901, 1344, 2668, 0, 303, 19991, 2986, 30166, 8132, 454, 1607, 2376, 827, 623, 19991, 2986, 30166, 8132, 729, 23345, 693, 2904, 476, 1321, 267, 476, 1001, 278, 693, 476, 278, 281, 6812, 10681, 269, 901, 3239, 568, 11540, 693, 519, 30166, 8132, 7121, 269, 623, 19991, 2986, 30166, 8132, 568, 28562, 609, 623, 19991, 2986, 30166, 8132, 267, 623, 19991, 267, 2986, 267, 30166, 8132, 10756, 303, 19991, 12328, 630, 335, 25207, 338, 1070, 24433, 12332, 562, 1421, 642, 1421, 2650, 1027, 267, 2650, 322, 1892, 532, 563, 268, 513, 5094, 610, 3908, 6712, 610, 7274, 540, 1945, 281, 513, 4062, 540, 2244, 282, 513, 4062, 540, 10217, 563, 268, 513, 7274, 540, 930, 6219, 610, 1570, 8108, 513, 2582, 2527, 610, 1560, 281, 513, 8799, 4062, 540, 29421, 563, 268, 513, 811, 610, 1447, 17386, 6712, 610, 7274, 540, 513, 2898, 281, 547, 2759, 513, 4544, 9440, 2650, 883, 3670, 4773, 563, 268, 513, 1880, 3259, 267, 607, 540, 1978, 5370, 5423, 585, 519, 2344, 281, 12308, 4421, 676, 519, 4062, 563, 268, 606, 2179, 540, 960, 8108, 513, 2582, 2816, 281, 547, 581, 6976, 676, 519, 4062, 543, 711, 676, 519, 5662, 563, 268, 606, 1383, 540, 960, 26206, 267, 17611, 269, 540, 7499, 2504, 267, 607, 513, 4605, 610, 513, 18533, 281, 634, 9754, 814, 930, 4277, 4773, 676, 20266, 27591, 563, 268, 513, 5339, 5888, 267, 2356, 2110, 267, 538, 18340, 610, 14235, 563, 268, 513, 5339, 5542, 585, 973, 2787, 281, 3962, 1126, 1185, 513, 4960, 547, 973, 924, 513, 4062, 563, 268, 513, 7574, 5888, 563, 268, 835, 540, 519, 2694, 602, 267, 950, 19632, 267, 1106, 513, 2898, 281, 519, 4773, 540, 513, 9219, 563, 268, 606, 1367, 2376, 540, 513, 1305, 610, 4015, 281, 513, 1305, 540, 8286, 5627, 476, 1911, 4773, 563, 268, 835, 540, 519, 5515, 267, 28283, 267, 7161, 267, 610, 519, 899, 267, 540, 3574, 267, 32334, 267, 610, 824, 1570, 267, 1031, 538, 4730, 267, 607, 593, 513, 4604, 610, 3349, 563, 268, 630, 514, 21802, 264, 513, 9120, 812, 267, 607, 13747, 689, 513, 533, 11921, 281, 547, 1491, 513, 887, 758, 267, 513, 24649, 267, 543, 824, 4773, 563, 268, 513, 18351, 267, 19259, 267, 610, 993, 340, 2280, 281, 513, 1434, 2000, 3089, 4062, 563, 268, 606, 1367, 3364, 540, 513, 1880, 1362, 610, 2186, 281, 513, 4062, 540, 11647, 282, 513, 4062, 540, 5373, 1957, 563, 268, 606, 1383, 267, 19494, 267, 610, 3236, 540, 1945, 281, 513, 5386, 4062, 540, 960, 26206, 563, 268, 835, 540, 519, 2694, 883, 799, 513, 3364, 568, 3186, 1192, 1947, 5258, 610, 7745, 3248, 320, 851, 267, 23650, 267, 610, 27054, 281, 547, 15237, 513, 4484, 883, 4773, 563, 268, 513, 17199, 781, 29461, 267, 16537, 565, 267, 3092, 563, 268, 513, 666, 12061, 610, 824, 1770, 540, 3921, 333, 766, 281, 2361, 4062, 563, 268, 513, 11777, 281, 513, 2947, 7266, 4062, 563, 268, 1496, 300, 573, 1633, 543, 8828, 772, 2529, 20426, 320, 3845, 281, 594, 6415, 2469, 1524, 519, 4155, 513, 4062, 563, 268, 1496, 2419, 3971, 569, 3345, 11068, 1633, 772, 2529, 20426, 320, 15165, 563, 268, 4746, 1572, 4062, 12664, 540, 1028, 12664, 269, 6215, 836, 630, 341, 592, 3258, 1916, 268, 513, 1268, 2808, 607, 513, 7649, 538, 1071, 7978, 563, 268, 2285, 2576, 513, 4062, 540, 835, 781, 2247, 269, 6423, 2247, 630, 3698, 269, 476, 736, 1916, 268, 979, 547, 4773, 912, 268, 547, 2736, 883, 15998, 563, 268, 547, 6336, 1852, 540, 13951, 3248, 13069, 727, 14156, 610, 9308, 13347, 281, 1879, 646, 1166, 6064, 539, 856, 540, 2564, 1153, 646, 4682, 547, 4773, 563, 268, 540, 513, 4062, 267, 540, 519, 1482, 2186, 3248, 4621, 11962, 269, 4746, 267, 540, 835, 4062, 563, 268, 4062, 540, 519, 2962, 269, 6423, 2962, 630, 3698, 269, 476, 2420, 1916, 268, 3717, 835, 781, 4062, 267, 547, 2769, 835, 781, 6644, 3248, 516, 557, 531, 835, 781, 4555, 2390, 513, 1641, 281, 594, 4956, 547, 3717, 1250, 4062, 2436, 789, 17329, 621, 610, 711, 563, 268, 547, 544, 754, 630, 320, 28630, 267, 2376, 267, 3092, 4700, 676, 4946, 267, 11836, 267, 610, 7311, 513, 4062, 610, 4773, 3248, 268, 547, 2347, 267, 23822, 267, 610, 8831, 676, 606, 3773, 4062, 610, 1945, 3606, 630, 21865, 1165, 269, 676, 856, 2567, 547, 4062, 856, 513, 5399, 609, 1007, 2835, 563, 268, 547, 1118, 676, 610, 607, 952, 676, 11836, 4773, 630, 21865, 1165, 269, 676, 1927, 2567, 547, 4062, 513, 844, 2830, 282, 547, 4062, 1927, 513, 7574, 1982, 563, 268, 547, 6443, 1927, 267, 607, 4773, 610, 2694, 281, 547, 4062, 1927, 519, 15998, 540, 513, 7745, 8670, 563, 268, 547, 6443, 607, 513, 4062, 610, 1840, 547, 1945, 281, 547, 4062, 1007, 5911, 883, 519, 10814, 563, 268, 547, 27043, 883, 513, 6209, 2898, 676, 9256, 2139, 5013, 267, 1344, 267, 3877, 267, 3092, 12727, 1261, 2650, 1027, 519, 1650, 1927, 1310, 513, 2603, 540, 4674, 563, 268, 1496, 2419, 3971, 569, 3345, 11068, 1633, 772, 2529, 20426, 1729, 3548, 1507, 13980, 540, 1426, 1063, 6980, 3248, 8170, 1993, 272, 630, 12320, 267, 9065, 282, 13417, 5962, 476, 16745, 341, 610, 267, 17611, 269, 1354, 19283, 1218, 267, 476, 16745, 1070, 24433, 12332, 3341, 563, 268, 630, 4310, 547, 5815, 3845, 610, 4287, 689, 267, 9668, 267, 22975, 267, 3092, 269, 2567, 1369, 513, 13304, 540, 519, 5939, 282, 5045, 540, 15345, 21036, 282, 547, 581, 3775, 5523, 540, 835, 781, 2724, 563, 268, 630, 4310, 547, 5815, 8174, 566, 267, 5169, 267, 610, 2707, 2567, 513, 812, 540, 1434, 1920, 282, 519, 4249, 540, 9956, 282, 513, 4062, 540, 14735, 563, 268, 630, 4310, 547, 5815, 2014, 267, 30254, 267, 8317, 267, 610, 2601, 2567, 547, 5884, 540, 14000, 563, 268, 630, 4310, 547, 5815, 1570, 267, 5057, 2694, 267, 6219, 267, 610, 9115, 2567, 513, 10571, 540, 16536, 282, 513, 1433, 540, 9954, 282, 513, 10189, 540, 10381, 563, 268, 630, 4310, 547, 5815, 813, 3789, 610, 3961, 2567, 1772, 602, 7329, 3999, 540, 513, 6455, 2006, 10912, 1586, 888, 268, 630, 4310, 547, 5815, 1808, 3961, 610, 513, 1880, 6221, 1369, 513, 7121, 2567, 519, 2749, 540, 9628, 282, 4555, 540, 2648, 563, 268, 630, 4310, 547, 5815, 15896, 267, 4276, 267, 610, 7681, 2567, 519, 4622, 540, 5333, 282, 519, 3959, 540, 519, 5939, 563, 268, 630, 4310, 547, 5815, 10014, 538, 513, 1297, 267, 1362, 267, 610, 2898, 2567, 835, 540, 721, 563, 268, 630, 4310, 547, 5815, 519, 6662, 6935, 267, 519, 1843, 540, 519, 2962, 7074, 676, 519, 18631, 10902, 610, 519, 3498, 540, 513, 8231, 610, 18781, 2567, 519, 30366, 540, 30518, 282, 1261, 11339, 1200, 540, 1753, 282, 594, 6415, 13110, 540, 2324, 563, 268, 630, 4310, 547, 5815, 4704, 610, 2463, 2567, 1703, 568, 2911, 540, 4708, 563, 268, 630, 4310, 547, 5815, 7907, 610, 10305, 2567, 606, 5605, 26513, 540, 7415, 8671, 563, 268, 630, 4310, 547, 5815, 513, 9138, 942, 2567, 1358, 8452, 540, 606, 10543, 563, 268, 1496, 2419, 3971, 569, 8832, 772, 2529, 20426, 29592, 519, 5662, 540, 3248, 2863, 559, 281, 8938, 3764, 540, 2947, 563, 268, 593, 519, 851, 540, 281, 898, 729, 1360, 1611, 540, 596, 547, 14902, 693, 803, 563, 268, 538, 2463, 547, 281, 18239, 540, 3723, 563, 268, 1305, 11735, 585, 610, 13991, 547, 281, 513, 8792, 540, 11755, 563, 268, 1496, 6635, 15939, 545, 20426, 2421, 281, 10057, 540, 17494, 563, 293, 1248, 8132, 325, 584, 1892, 14269, 1892, 339, 675, 630, 325, 383, 375, 337, 12664, 14269, 669, 16745, 337, 1070, 24433, 12332, 562, 563, 268, 519, 1940, 762, 4930, 267, 607, 7515, 267, 23107, 267, 964, 802, 610, 19970, 1115, 267, 2838, 585, 946, 610, 15022, 3512, 538, 513, 2777, 267, 5604, 267, 610, 519, 899, 563, 268, 3514, 14005, 267, 17102, 267, 610, 2556, 17960, 585, 1945, 563, 268, 3937, 585, 10754, 543, 824, 1857, 2127, 267, 607, 8654, 4441, 267, 4191, 267, 1649, 2583, 267, 610, 16445, 25510, 563, 268, 4746, 1572, 581, 13145, 267, 4666, 4496, 269, 4773, 540, 3574, 610, 4496, 267, 1447, 982, 1826, 1164, 267, 1305, 538, 543, 827, 3817, 540, 1826, 547, 6445, 873, 856, 543, 3180, 519, 1826, 538, 1747, 538, 513, 29677, 563, 303, 19991, 2986, 30166, 8132, 723, 476, 276, 6337, 1519, 4053, 4788, 7302, 1515, 267, 634, 1532, 25717, 7302, 1515, 1922, 5831, 762, 7146, 10595, 1664, 1790, 19991, 6361, 19985, 476, 276, 623, 19991, 16170, 3336, 30166, 8132, 30498, 476, 1704, 27202, 22830, 5851, 5071, 14313, 267, 634, 7831, 623, 19991, 2986, 30166, 8132, 454, 2421, 590, 21417, 1066, 21853, 20891, 22642, 523, 267, 589, 18190, 623, 19991, 2986, 30166, 8132, 1280, 589, 13749, 776, 16680, 26761, 1772, 15394, 1323, 2107, 333, 622, 623, 19991, 2060, 26346, 2961, 19133, 1656, 27705, 268, 2107, 5696, 817, 13807, 730, 7435, 956, 1656, 10371, 3371, 616, 519, 2592, 912, 25444, 17358, 602, 623, 19991, 2986, 30166, 8132, 2681, 568, 835, 585, 1818, 513, 4190, 23103, 2511, 540, 519, 1034, 1713, 2609, 269, 16974, 568, 606, 16832, 6712, 585, 7718, 908, 28889, 9934, 610, 3384, 2010, 267, 3976, 7446, 519, 18707, 602, 616, 1318, 1058, 581, 2808, 563, 763, 521, 871, 568, 2731, 513, 5544, 1141, 649, 3207, 267, 513, 10093, 1141, 649, 3207, 2899, 649, 616, 2192, 267, 610, 3274, 950, 649, 616, 13110, 267, 13110, 540, 519, 3232, 1982, 269, 634, 521, 871, 949, 581, 519, 4087, 16382, 649, 4941, 1175, 267, 4983, 513, 1134, 17329, 1650, 610, 547, 581, 4805, 2611, 9602, 269, 10162, 1682, 1058, 581, 513, 1747, 602, 666, 1711, 721, 1745, 6899, 563, 2026, 7150, 538, 519, 2063, 3391, 267, 519, 2681, 1223, 19876, 1764, 593, 8226, 7553, 543, 6643, 269, 4475, 267, 596, 11129, 547, 6108, 1880, 1719, 538, 7446, 519, 1318, 2681, 585, 707, 7622, 11623, 563, 13436, 24762, 540, 623, 19991, 2986, 30166, 8132, 454, 268, 12275, 1633, 5463, 2610, 14313, 454, 268, 7454, 8381, 523, 645, 1846, 454, 268, 29740, 6184, 1280, 12389, 18740, 454, 268, 1215, 1677, 570, 850, 589, 9605, 2897, 454, 268, 3212, 601, 1656, 25529, 15550, 2643, 4469, 3233, 570, 850, 454, 268, 3057, 9579, 328, 570, 850, 17352, 454, 268, 20497, 4469, 334, 1681, 20260, 832, 454, 268, 16410, 514, 22427, 1188, 454, 268, 645, 626, 549, 4258, 325, 28881, 5463, 528, 454, 268, 5808, 2382, 8712, 24872, 3336, 1401, 9151, 674, 753, 454, 268, 3213, 2120, 30166, 8132, 8298, 514, 454, 268, 16505, 9724, 7305, 30498, 454, 268, 12275, 720, 28678, 3118, 14313, 454, 268, 7435, 18478, 8381, 523, 10658, 26072, 454, 268, 9210, 20293, 12275, 720, 4469, 14995, 454, 268, 5440, 4469, 3233, 30557, 4325, 5474, 0, 7336, 1622, 602, 1279, 29280, 2804, 2035, 1683, 519, 1620, 547, 8011, 538, 519, 1344, 2085, 269, 901, 1433, 6941, 519, 7575, 602, 948, 1870, 3401, 6330, 6707, 998, 519, 1344, 4346, 269, 898, 13187, 602, 9946, 1590, 1174, 519, 4909, 9297, 540, 1344, 2029, 547, 1020, 2500, 2994, 563, 1103, 6176, 16390, 267, 4589, 1744, 777, 10098, 543, 966, 4115, 7866, 602, 1082, 5929, 2804, 2035, 666, 1683, 519, 5813, 543, 1620, 2556, 547, 8011, 538, 519, 1344, 2085, 269, 1358, 8044, 602, 952, 9946, 12517, 1616, 547, 1020, 2500, 2994, 585, 12721, 538, 519, 1007, 4346, 267, 789, 1590, 1174, 519, 4909, 9297, 540, 1344, 2029, 269, 6787, 1344, 3217, 519, 1106, 540, 3301, 3009, 610, 6592, 2575, 267, 568, 3370, 538, 513, 1433, 610, 12139, 267, 610, 1256, 11540, 593, 513, 3896, 267, 9946, 1590, 917, 875, 547, 6218, 519, 4539, 540, 14499, 267, 7863, 267, 543, 4058, 1007, 8747, 540, 1344, 2472, 267, 2533, 267, 543, 1949, 269, 634, 1101, 1433, 547, 1253, 650, 519, 9297, 540, 1344, 543, 5121, 883, 4052, 1870, 2994, 267, 6176, 16390, 568, 513, 3391, 547, 519, 10888, 7575, 602, 666, 948, 1870, 3401, 6330, 6707, 998, 519, 9157, 3664, 540, 519, 1344, 4346, 269, 0, 27094, 568, 606, 1271, 6249, 538, 519, 4583, 3209, 795, 2033, 2363, 516, 676, 1347, 19714, 11487, 974, 795, 2033, 781, 2648, 585, 887, 17998, 568, 5693, 18476, 2429, 519, 3209, 855, 269, 7402, 2227, 3022, 267, 1347, 19714, 5206, 795, 2033, 2363, 516, 6249, 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 ]
[ 25035, 560, 3530, 267, 6153, 20204, 267, 8235, 32147, 553, 340, 4975, 267, 645, 1075, 4486, 324, 267, 595, 14505, 9835, 324, 267, 23683, 966, 16695, 267, 3057, 545, 30249, 267, 744, 549, 9503, 267, 3465, 22574, 267, 18409, 3650, 4975, 267, 3465, 22574, 9503, 269, 1656, 849, 538, 28833, 808, 4233, 267, 3057, 3570, 267, 4432, 21001, 613, 267, 3751, 2006, 267, 10348, 15880, 267, 23509, 267, 5842, 30511, 267, 19300, 340, 541, 7534, 267, 674, 20667, 22193, 267, 715, 690, 2297, 267, 19958, 267, 4432, 1195, 267, 623, 904, 517, 267, 24622, 30639, 267, 21537, 1047, 9503, 267, 15346, 3805, 267, 29158, 6229, 267, 8805, 7638, 1372, 267, 932, 3626, 9503, 267, 8058, 8899, 267, 20767, 7431, 2483, 32207, 958, 267, 519, 2472, 1644, 547, 519, 2165, 834, 19688, 476, 1556, 257, 538, 23916, 666, 581, 25855, 547, 971, 4872, 607, 9741, 9412, 267, 10783, 8055, 267, 674, 599, 8291, 6807, 267, 11354, 23014, 267, 13643, 4011, 334, 267, 3345, 9741, 9412, 267, 1230, 3118, 267, 29124, 267, 25882, 18671, 742, 267, 28564, 517, 6807, 267, 12182, 25951, 267, 28564, 517, 267, 6809, 1046, 3570, 267, 15593, 6229, 267, 12722, 6807, 267, 21651, 6807, 267, 645, 7578, 966, 16695, 267, 4639, 6490, 874, 529, 267, 3474, 698, 746, 267, 16410, 582, 269, 1656, 267, 540, 1576, 267, 590, 792, 1097, 267, 11709, 645, 675, 333, 267, 4432, 16910, 5964, 267, 8575, 636, 16279, 267, 645, 569, 1492, 6807, 267, 1280, 6135, 4975, 267, 8125, 27961, 25951, 267, 21563, 656, 267, 26858, 267, 12182, 25951, 22810, 267, 13738, 5851, 267, 3057, 542, 267, 4477, 6511, 8862, 652, 4477, 6511, 267, 6682, 6577, 267, 13804, 16288, 267, 18206, 14702, 267, 5689, 591, 333, 267, 645, 919, 6807, 267, 16593, 267, 543, 824, 4872, 563, 32207, 958, 267, 519, 5370, 3957, 834, 19688, 476, 1556, 257, 538, 4993, 666, 581, 2366, 547, 11968, 13353, 267, 5842, 17630, 267, 5842, 8277, 267, 5842, 12770, 267, 674, 637, 7224, 267, 15762, 26963, 334, 267, 7043, 16047, 267, 18718, 1633, 267, 645, 5474, 7615, 267, 27118, 8583, 267, 13244, 27118, 267, 23117, 728, 267, 14351, 2023, 267, 932, 3121, 966, 16695, 267, 6154, 23992, 267, 7054, 341, 710, 267, 5842, 24527, 3626, 267, 3525, 652, 334, 267, 7621, 333, 731, 267, 674, 2632, 3570, 267, 2859, 7224, 9503, 267, 3794, 754, 1446, 267, 15391, 15838, 16047, 267, 13244, 22548, 7534, 267, 12567, 717, 17311, 269, 24822, 568, 849, 5645, 856, 538, 13244, 28266, 267, 744, 10895, 728, 267, 28234, 11155, 595, 1075, 600, 784, 320, 267, 14411, 267, 19903, 2120, 267, 4432, 330, 717, 17311, 267, 26054, 23014, 267, 4856, 7431, 267, 6428, 21590, 267, 25048, 7431, 267, 8776, 8896, 267, 15917, 1189, 267, 10507, 1718, 18480, 267, 6129, 5500, 341, 1446, 267, 17131, 611, 6511, 267, 9509, 30639, 267, 21060, 267, 23897, 663, 744, 6545, 267, 6250, 26515, 267, 3244, 328, 9503, 267, 19270, 867, 267, 14986, 6807, 267, 13244, 27262, 267, 966, 4150, 14765, 267, 8841, 6807, 269, 634, 11288, 568, 849, 2139, 538, 4432, 22757, 267, 20588, 267, 22337, 2284, 267, 22728, 12379, 320, 267, 16016, 548, 6229, 267, 20764, 3120, 267, 4639, 595, 990, 2088, 267, 7439, 19769, 267, 2961, 3149, 21112, 267, 12876, 7615, 267, 29430, 267, 12653, 686, 9508, 267, 645, 7875, 1678, 267, 4165, 1470, 577, 267, 667, 3315, 4975, 267, 7843, 324, 1529, 320, 267, 13244, 12756, 267, 4432, 595, 1690, 517, 267, 681, 658, 1729, 267, 5842, 631, 622, 334, 267, 1290, 17980, 267, 1849, 990, 529, 267, 30083, 1575, 320, 9503, 267, 3162, 19835, 267, 966, 16695, 267, 17030, 966, 773, 14765, 269, 1656, 267, 540, 1576, 267, 28820, 822, 4068, 267, 23663, 517, 267, 31928, 704, 807, 267, 4414, 3429, 267, 13244, 3933, 3821, 267, 31689, 267, 13244, 22526, 267, 932, 4815, 267, 1733, 8636, 1512, 267, 1715, 1636, 16047, 267, 5842, 2274, 663, 549, 267, 8316, 25079, 267, 5842, 16205, 657, 267, 13022, 6350, 1261, 2074, 267, 1325, 5069, 3630, 267, 3004, 1097, 267, 20506, 3467, 267, 11370, 6511, 5244, 267, 8235, 6229, 267, 8585, 1027, 267, 12920, 564, 267, 932, 3626, 267, 9093, 1057, 324, 267, 8235, 11206, 267, 13845, 320, 269, 24822, 568, 849, 5645, 856, 538, 4414, 6229, 4975, 267, 13852, 17810, 267, 1473, 1470, 267, 570, 755, 514, 267, 25930, 7773, 5244, 267, 932, 3626, 22193, 267, 13738, 7348, 267, 1325, 3139, 320, 267, 772, 680, 663, 267, 674, 11169, 558, 267, 5842, 10548, 517, 267, 20167, 9586, 517, 267, 22118, 6229, 267, 5742, 4975, 267, 11197, 9503, 267, 4414, 4133, 267, 5695, 6674, 267, 3131, 5142, 267, 31615, 29132, 267, 6660, 335, 26320, 267, 4414, 32121, 16047, 267, 16026, 267, 6682, 541, 21034, 267, 962, 18866, 4975, 269, 24822, 568, 849, 5645, 856, 538, 28234, 11155, 24778, 13960, 267, 6022, 334, 1325, 1729, 267, 962, 528, 9346, 27692, 267, 9546, 18133, 15880, 267, 3162, 5842, 12770, 267, 5842, 595, 2211, 324, 267, 26352, 7921, 267, 20698, 10044, 715, 580, 3241, 267, 623, 4815, 5211, 320, 267, 22757, 321, 10314, 267, 700, 617, 328, 267, 8496, 5028, 267, 8053, 699, 344, 5244, 267, 5487, 13206, 571, 267, 13244, 30434, 267, 7402, 8181, 553, 267, 570, 592, 732, 267, 8493, 6511, 267, 2817, 4975, 267, 595, 10967, 339, 3626, 269, 634, 11288, 568, 849, 2139, 538, 15391, 15838, 5244, 267, 8891, 531, 6373, 267, 5842, 681, 2378, 6130, 267, 5487, 12379, 320, 267, 9412, 4802, 267, 20211, 611, 807, 267, 27339, 4446, 267, 8381, 1633, 267, 674, 20667, 9503, 267, 623, 7163, 6807, 267, 20368, 870, 267, 12390, 5112, 267, 14986, 332, 1737, 267, 5101, 341, 1446, 267, 16114, 2465, 267, 4400, 1633, 267, 5548, 8457, 267, 2051, 2023, 267, 8734, 6737, 267, 8235, 661, 3149, 514, 648, 267, 645, 1370, 6229, 267, 962, 1075, 320, 760, 320, 267, 24130, 4975, 267, 23846, 6807, 267, 1773, 8809, 807, 267, 543, 824, 4872, 543, 10034, 563, 8170, 1576, 267, 519, 2472, 676, 7662, 834, 19688, 476, 1556, 257, 538, 12548, 666, 581, 25855, 547, 28631, 267, 12548, 25951, 267, 29457, 7702, 267, 10783, 19811, 267, 8235, 6229, 267, 18897, 660, 517, 267, 1488, 341, 3385, 267, 31689, 267, 623, 29301, 334, 267, 2578, 27812, 267, 645, 30629, 267, 3998, 2917, 267, 7043, 23992, 267, 10753, 22093, 267, 645, 3336, 7615, 267, 9835, 808, 4233, 267, 16836, 9412, 267, 25642, 4975, 267, 26436, 267, 9741, 2023, 267, 3345, 6921, 3317, 267, 24761, 517, 267, 1621, 548, 6229, 269, 898, 568, 849, 2139, 585, 519, 1004, 2713, 538, 5453, 520, 23374, 267, 674, 20667, 267, 700, 2378, 599, 8291, 267, 6489, 7717, 267, 661, 4471, 267, 27213, 267, 13642, 267, 8402, 6807, 267, 8053, 13427, 267, 20736, 24546, 267, 6970, 10722, 517, 4975, 267, 5682, 6229, 22810, 267, 28238, 1782, 267, 700, 821, 10326, 267, 3627, 560, 1144, 267, 32493, 267, 674, 745, 7534, 267, 6008, 14781, 520, 25951, 267, 8549, 1261, 2074, 267, 9605, 7723, 267, 10783, 21546, 267, 19291, 267, 16836, 623, 1149, 267, 3092, 563, 5591, 8969, 267, 1022, 2472, 1644, 609, 834, 19688, 476, 1556, 257, 538, 21086, 666, 581, 25855, 547, 971, 4872, 607, 15167, 1636, 267, 1715, 670, 13273, 267, 19134, 5112, 267, 853, 600, 5112, 267, 4826, 12064, 267, 7439, 19769, 267, 8355, 12064, 267, 1715, 6628, 267, 30290, 267, 8585, 16582, 267, 6660, 5112, 267, 4639, 670, 13273, 267, 5664, 26165, 267, 7439, 16049, 267, 17125, 2023, 267, 8776, 2590, 2023, 267, 1715, 5507, 267, 5775, 8205, 267, 14216, 2421, 267, 23108, 2023, 543, 4130, 10034, 563, 4517, 540, 1576, 267, 519, 5370, 1644, 609, 834, 19688, 476, 1556, 257, 538, 26609, 666, 581, 11751, 538, 12070, 2719, 2023, 267, 667, 1478, 267, 1715, 1046, 267, 5664, 26165, 267, 590, 3240, 337, 3534, 267, 6660, 5112, 267, 1530, 2378, 867, 267, 31869, 1326, 1144, 267, 661, 3149, 332, 699, 267, 1715, 16836, 267, 24759, 4011, 334, 267, 19846, 331, 267, 14250, 15838, 267, 6682, 6577, 267, 22110, 2023, 267, 10197, 525, 267, 29859, 267, 17286, 2421, 6807, 267, 15167, 6807, 267, 24104, 754, 267, 543, 824, 4872, 543, 10034, 563, 9213, 1022, 2472, 1644, 609, 834, 19688, 476, 1556, 257, 538, 8419, 666, 581, 11751, 538, 12722, 6807, 267, 24543, 267, 570, 2086, 320, 267, 2107, 1633, 334, 267, 853, 269, 22642, 7921, 267, 670, 658, 324, 1695, 267, 30460, 1695, 553, 5408, 267, 10783, 5487, 31335, 23014, 267, 5800, 853, 269, 12359, 773, 267, 15729, 4856, 531, 267, 623, 10603, 6593, 623, 1149, 267, 21035, 267, 21007, 1090, 541, 267, 28150, 525, 6807, 267, 4856, 531, 25951, 267, 24543, 25052, 267, 13068, 4248, 267, 26054, 7345, 267, 25048, 3966, 334, 16047, 267, 4639, 26054, 16047, 267, 700, 752, 14657, 267, 5096, 773, 267, 24543, 16047, 267, 645, 10087, 13158, 517, 269, 1306, 1134, 607, 538, 5548, 2023, 320, 267, 7233, 566, 267, 6129, 23438, 267, 26054, 11076, 267, 700, 14417, 267, 1546, 518, 7615, 16047, 267, 24332, 267, 15196, 660, 517, 16047, 267, 5487, 31335, 24824, 267, 10783, 3733, 619, 267, 4639, 517, 267, 918, 1170, 574, 1889, 324, 267, 13067, 652, 1737, 267, 5548, 2001, 16047, 267, 23111, 541, 659, 267, 4303, 2023, 320, 16047, 267, 654, 2454, 2023, 267, 3345, 24543, 267, 18347, 267, 3345, 5800, 267, 23081, 14777, 15880, 267, 5800, 21060, 267, 5842, 5112, 267, 12540, 622, 267, 744, 5632, 320, 267, 7203, 553, 7974, 267, 623, 839, 659, 7637, 543, 4130, 10034, 563, 2005, 4422, 1510, 6031, 602, 519, 5370, 1644, 609, 834, 19688, 476, 1556, 257, 538, 11908, 666, 581, 4607, 538, 971, 4872, 607, 24611, 267, 19090, 267, 4864, 320, 267, 5839, 517, 267, 14205, 20087, 267, 18603, 267, 9995, 344, 25951, 267, 14472, 6202, 267, 8592, 15880, 267, 19186, 1415, 267, 2782, 1676, 7605, 1231, 267, 1325, 874, 732, 1777, 320, 267, 25795, 24297, 267, 4406, 323, 739, 320, 267, 590, 3240, 337, 3534, 267, 14480, 6229, 344, 267, 7507, 267, 5101, 8672, 267, 29859, 267, 28150, 525, 6807, 267, 670, 1149, 6807, 267, 3212, 25638, 872, 4975, 267, 1715, 22974, 267, 18243, 2023, 267, 19958, 6807, 267, 918, 15086, 1177, 267, 5487, 294, 9792, 267, 2276, 4011, 334, 267, 18039, 6807, 267, 667, 592, 3578, 267, 14351, 8822, 267, 8381, 18450, 267, 2961, 2651, 2023, 267, 22616, 517, 267, 26186, 514, 267, 5062, 10673, 965, 267, 3600, 10290, 267, 623, 944, 518, 267, 5742, 4975, 267, 543, 824, 4872, 563, 4517, 2221, 1022, 2472, 1644, 609, 834, 19688, 476, 1556, 257, 538, 16127, 666, 581, 2366, 547, 12968, 565, 21343, 267, 5101, 12968, 565, 21343, 267, 23421, 4975, 267, 23664, 334, 267, 918, 841, 7699, 267, 20613, 760, 24660, 267, 918, 2033, 334, 515, 267, 6660, 559, 8643, 16011, 267, 918, 1695, 592, 14241, 267, 661, 11445, 717, 18782, 267, 6660, 559, 8643, 31410, 6390, 267, 27411, 515, 328, 267, 25120, 752, 559, 334, 267, 654, 1695, 807, 11445, 267, 5576, 1993, 1752, 4446, 13715, 267, 654, 841, 4157, 340, 267, 29518, 1961, 328, 267, 661, 11445, 16047, 267, 9576, 31311, 807, 267, 16199, 11867, 267, 20613, 2711, 340, 267, 20613, 1014, 2801, 267, 15089, 752, 25625, 267, 918, 841, 7699, 267, 700, 1695, 664, 320, 267, 20613, 760, 1470, 267, 22963, 21537, 1047, 5244, 267, 29518, 12711, 563, 301, 6334, 267, 1022, 2472, 1644, 609, 834, 19688, 476, 1556, 257, 538, 27924, 666, 581, 9447, 547, 519, 1739, 4872, 281, 4425, 1047, 267, 8585, 22941, 267, 715, 2086, 320, 267, 27924, 22484, 267, 623, 665, 520, 10314, 267, 2836, 323, 6202, 267, 3213, 16725, 546, 262, 2704, 2940, 267, 3828, 514, 22484, 267, 10197, 626, 517, 267, 5403, 22484, 267, 1234, 343, 7921, 267, 18293, 267, 26267, 267, 918, 10044, 267, 2549, 3000, 267, 932, 889, 321, 3089, 267, 15917, 6577, 267, 13738, 5851, 267, 4563, 20584, 267, 12567, 4975, 267, 7603, 727, 267, 8738, 2917, 267, 543, 824, 4872, 563, 5591, 991, 547, 2161, 267, 519, 5370, 676, 7662, 834, 19688, 476, 1556, 257, 538, 13325, 666, 581, 9447, 547, 519, 1739, 4872, 281, 9628, 267, 29457, 7702, 267, 9412, 5112, 267, 808, 565, 2884, 267, 715, 1653, 6807, 267, 11354, 7615, 267, 3212, 18319, 267, 4432, 6265, 267, 654, 879, 651, 1146, 267, 19598, 5218, 267, 2349, 334, 4040, 2023, 267, 5463, 4405, 267, 5345, 534, 8725, 267, 2677, 30577, 525, 267, 7137, 342, 2106, 267, 5453, 26293, 267, 5617, 4582, 4068, 267, 4432, 332, 327, 32231, 267, 1546 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 4995, 17266, 14025, 15229, 1419, 1265, 741, 1259, 883, 519, 5836, 267, 30286, 4220, 585, 4262, 16015, 602, 3824, 652, 610, 1205, 1303, 22931, 538, 873, 269, 2422, 23431, 11435, 267, 14569, 267, 543, 11149, 3079, 563, 265, 2878, 28874, 2199, 7320, 3906, 4995, 12160, 622, 538, 2146, 2621, 5059, 593, 8497, 2067, 2200, 543, 6443, 7341, 6131, 547, 25137, 4262, 16015, 563, 265, 2878, 306, 7331, 519, 2262, 4995, 3447, 622, 2828, 543, 1920, 2818, 827, 519, 4644, 540, 4262, 16015, 538, 7286, 8134, 543, 5000, 1866, 547, 9772, 10357, 7888, 6208, 780, 3528, 2324, 1927, 267, 649, 666, 5150, 513, 17321, 2104, 585, 891, 15999, 7068, 543, 8190, 519, 10347, 10103, 540, 938, 4541, 781, 12084, 269, 8414, 3695, 267, 8284, 5836, 19212, 256, 0, 2080, 568, 606, 1349, 689, 513, 2546, 912, 30948, 1909, 1281, 707, 2249, 723, 538, 922, 5117, 286, 2142, 538, 3178, 630, 1692, 814, 621, 4957, 936, 942, 286, 994, 5353, 320, 16015, 616, 519, 1034, 3078, 4262, 13442, 602, 835, 666, 1294, 693, 606, 16983, 610, 538, 922, 2067, 7226, 269, 901, 7415, 2249, 2141, 4667, 547, 19582, 513, 2027, 5544, 538, 938, 8186, 689, 519, 28077, 14854, 9162, 649, 6068, 607, 3214, 543, 1287, 519, 20605, 2833, 689, 10977, 609, 873, 538, 519, 5318, 12084, 269, 7256, 16015, 23366, 3142, 4664, 540, 5191, 267, 25894, 267, 543, 5898, 547, 1346, 945, 7198, 873, 269, 769, 7286, 1979, 2345, 789, 2226, 543, 2327, 2635, 543, 14388, 12084, 998, 3246, 513, 3099, 540, 5301, 269, 1280, 811, 982, 476, 5611, 2929, 1296, 267, 4262, 16015, 723, 887, 3139, 519, 3618, 267, 4352, 5063, 782, 5722, 2249, 540, 4262, 14854, 616, 13155, 543, 519, 918, 655, 1186, 681, 573, 2917, 7256, 25725, 814, 1831, 519, 1034, 9691, 13155, 2249, 540, 14854, 269, 918, 11391, 779, 681, 573, 2917, 7256, 570, 4669, 956, 723, 519, 1034, 11658, 2039, 543, 11658, 9960, 2039, 540, 1022, 824, 2249, 540, 4262, 14854, 269, 634, 3003, 9960, 4775, 17069, 26559, 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, 589, 1906, 1296, 3516, 267, 594, 1336, 8885, 1524, 606, 4950, 15529, 8559, 827, 2030, 7350, 543, 2067, 11955, 269, 1306, 513, 15400, 32529, 543, 23153, 1250, 322, 6048, 267, 594, 729, 2141, 5461, 538, 1565, 811, 827, 875, 519, 1158, 540, 18508, 5249, 269, 2290, 1554, 267, 1247, 15388, 1114, 2010, 540, 17228, 267, 594, 16686, 2390, 1344, 827, 6281, 31571, 1572, 30175, 6950, 269, 2271, 29098, 267, 594, 4956, 547, 2007, 4514, 883, 519, 1641, 543, 1451, 782, 972, 729, 547, 917, 827, 891, 4241, 5214, 7135, 780, 28012, 1705, 594, 917, 267, 1250, 7279, 1131, 1291, 803, 593, 513, 3552, 3460, 4904, 609, 13395, 4690, 267, 6397, 23538, 267, 543, 8090, 540, 8086, 269, 3733, 1101, 3247, 593, 713, 7045, 729, 2542, 909, 593, 519, 1585, 19777, 24678, 11444, 3238, 538, 6721, 30175, 6950, 910, 12077, 267, 519, 695, 1731, 1493, 267, 803, 1998, 517, 622, 267, 543, 1768, 5155, 1355, 11444, 269, 901, 1522, 3280, 3819, 547, 930, 267, 855, 585, 803, 267, 621, 5433, 899, 796, 792, 2251, 6456, 14951, 780, 2026, 594, 798, 557, 2212, 14140, 883, 519, 3621, 3332, 267, 594, 4362, 1945, 15116, 827, 835, 1880, 1826, 540, 30175, 1355, 1634, 607, 834, 339, 1886, 2033, 1701, 570, 1886, 2033, 30175, 6950, 666, 581, 1336, 538, 1978, 17334, 327, 1228, 1920, 2371, 267, 1519, 14686, 17334, 327, 1228, 630, 4263, 1886, 320, 11350, 611, 30358, 264, 543, 795, 574, 5459, 15634, 630, 291, 520, 3120, 588, 1090, 28016, 1040, 1548, 13351, 803, 729, 711, 1152, 741, 3532, 26390, 514, 8328, 3601, 267, 855, 849, 741, 3140, 946, 538, 31783, 543, 2757, 4915, 780, 1607, 6602, 17275, 513, 16012, 1719, 538, 17801, 984, 582, 1415, 543, 519, 1686, 3297, 891, 12357, 2371, 269, 17652, 2614, 267, 594, 1185, 10288, 5452, 585, 1312, 14686, 17334, 327, 1228, 543, 795, 574, 5459, 15634, 267, 23362, 9027, 908, 741, 12625, 865, 594, 1223, 1332, 873, 538, 1250, 1378, 4677, 269, 1879, 789, 6368, 8452, 267, 594, 5402, 12630, 1142, 6079, 543, 22157, 547, 873, 3232, 267, 8384, 538, 4898, 607, 789, 17708, 1540, 543, 8057, 1354, 1250, 1360, 4064, 780, 12507, 2195, 5293, 267, 543, 1250, 2371, 3459, 547, 8768, 543, 7703, 4829, 269, 1717, 267, 2059, 609, 519, 5898, 3357, 513, 1376, 1782, 20185, 282, 3395, 891, 2371, 729, 10363, 1141, 594, 5030, 256, 6736, 1373, 6738, 585, 3872, 5301, 267, 594, 7948, 1405, 11716, 519, 1249, 602, 594, 1185, 26968, 5944, 7745, 519, 1876, 780, 293, 3166, 609, 519, 19175, 540, 5732, 6849, 3656, 29854, 267, 594, 1500, 519, 2352, 3375, 547, 4894, 1312, 2371, 689, 1250, 4677, 269, 1809, 1256, 1310, 21006, 1250, 11537, 15013, 267, 594, 1869, 7948, 1405, 21199, 1055, 519, 22906, 594, 2919, 585, 21050, 2033, 30175, 6950, 543, 741, 10578, 12583, 269, 1924, 3079, 540, 11173, 547, 11654, 713, 6612, 24648, 958, 267, 594, 8179, 856, 4244, 2081, 547, 2263, 1250, 4690, 1369, 519, 32604, 540, 2199, 4031, 780, 296, 8678, 1896, 2228, 2950, 6131, 547, 27386, 2090, 543, 4448, 609, 1866, 945, 3838, 2147, 18653, 585, 21372, 15174, 540, 2257, 269, 8625, 649, 22121, 1702, 267, 2200, 267, 543, 2833, 1510, 2479, 2348, 547, 5855, 827, 8840, 1022, 3652, 269, 898, 7140, 856, 602, 1082, 1004, 941, 1175, 607, 26970, 676, 519, 9490, 543, 8748, 1158, 540, 30175, 6950, 607, 594, 729, 267, 543, 938, 3838, 15131, 2813, 513, 2189, 6125, 1063, 721, 780, 7437, 713, 1995, 267, 594, 4121, 519, 2956, 540, 13326, 7279, 609, 5539, 269, 2755, 621, 781, 1898, 547, 3049, 938, 14000, 585, 1702, 267, 3006, 649, 1590, 13720, 13943, 18408, 543, 1118, 24279, 547, 2327, 649, 1810, 1405, 3444, 5683, 6302, 269, 1635, 4466, 899, 16490, 2043, 945, 2671, 1250, 4690, 267, 594, 6591, 3407, 4030, 543, 3710, 9434, 4296, 1759, 593, 8994, 2463, 543, 7071, 585, 519, 13300, 540, 2470, 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, 22081, 798, 2371, 3132, 6281, 31571, 971, 607, 30175, 6950, 888, 5522, 1218, 3132, 6281, 31571, 267, 971, 607, 30175, 6950, 267, 998, 1585, 19777, 24678, 11444, 269, 1452, 11444, 4125, 519, 10282, 540, 7135, 689, 3119, 31571, 267, 971, 607, 11254, 7408, 267, 22951, 1938, 267, 543, 9761, 7408, 269, 634, 19777, 24678, 11444, 616, 14931, 676, 513, 3099, 540, 4719, 267, 2825, 267, 543, 12214, 2188, 780, 2704, 32039, 6950, 616, 513, 3309, 1362, 540, 6281, 31571, 602, 616, 6353, 676, 741, 9436, 25202, 10636, 665, 5670, 545, 8258, 2497, 269, 1358, 616, 24704, 998, 1585, 19777, 24678, 11444, 267, 1519, 519, 695, 1731, 1493, 13374, 267, 519, 803, 1998, 517, 622, 13374, 267, 543, 519, 1768, 5155, 1355, 13374, 780, 1103, 519, 695, 1731, 1493, 13374, 267, 519, 24888, 11140, 267, 32711, 1143, 622, 267, 568, 4646, 689, 519, 3119, 8311, 924, 267, 695, 1731, 1493, 269, 932, 528, 1143, 622, 568, 1287, 10736, 883, 519, 30175, 1355, 24888, 267, 16320, 3757, 30968, 267, 799, 568, 2417, 9268, 883, 513, 2647, 2039, 540, 30175, 6950, 780, 1103, 519, 803, 1998, 517, 622, 13374, 267, 519, 24888, 11140, 267, 568, 641, 550, 523, 2643, 7510, 5268, 24043, 630, 7709, 303, 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, 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, 634, 4764, 729, 26311, 1524, 3544, 267, 2870, 513, 11931, 11733, 593, 519, 9486, 540, 519, 1507, 6995, 6300, 512, 26786, 2476, 538, 519, 7944, 540, 519, 14297, 2749, 269, 8861, 267, 513, 1762, 4807, 609, 2110, 6960, 4552, 543, 14296, 267, 2893, 14598, 3481, 936, 1200, 15291, 267, 9663, 13124, 17511, 2476, 269, 2701, 1185, 1044, 2324, 593, 713, 11556, 585, 4374, 910, 606, 11036, 547, 3142, 811, 4008, 7862, 883, 519, 5256, 26730, 3990, 1158, 540, 17825, 543, 6765, 693, 1200, 2754, 267, 772, 4916, 269, 898, 729, 1945, 1352, 5433, 6612, 2299, 827, 267, 855, 849, 6785, 1131, 3068, 4187, 689, 930, 2362, 22705, 780, 9617, 1287, 267, 513, 7381, 812, 609, 6070, 543, 14723, 4552, 15336, 538, 267, 24373, 1055, 1010, 22597, 1354, 1818, 1010, 1259, 2509, 8861, 269, 1261, 30870, 1200, 27145, 267, 10962, 5128, 607, 3627, 267, 519, 2212, 540, 15679, 693, 772, 4916, 269, 8861, 9937, 539, 909, 267, 18516, 540, 1018, 646, 4941, 780, 11990, 10288, 513, 3109, 6995, 543, 3576, 513, 10160, 2066, 689, 8861, 269, 2991, 27300, 16990, 1845, 267, 646, 3893, 2786, 547, 519, 1448, 269, 834, 296, 4862, 596, 4312, 1044, 2324, 593, 513, 11556, 3823, 4008, 4763, 2437, 646, 1767, 267, 3168, 32348, 693, 8861, 269, 834, 4692, 594, 1294, 621, 12482, 27880, 11688, 18469, 585, 513, 4090, 267, 855, 5555, 19942, 1864, 1200, 15291, 269, 1306, 3627, 1085, 9776, 998, 1200, 11556, 267, 1352, 1223, 1745, 9887, 3478, 8401, 269, 14348, 646, 1174, 519, 2956, 540, 713, 3390, 286, 2107, 1131, 646, 14962, 621, 607, 11991, 2797, 2953, 1145, 2496, 3719, 607, 3627, 1224, 593, 267, 8861, 4718, 513, 1413, 540, 9983, 3444, 1010, 3068, 269, 834, 1607, 568, 11141, 267, 8861, 2437, 646, 1767, 267, 1688, 532, 1394, 1200, 15291, 269, 834, 296, 4769, 1405, 8275, 875, 2462, 540, 513, 1966, 713, 568, 538, 938, 2872, 3010, 5445, 3459, 7234, 519, 3877, 540, 519, 11556, 267, 543, 8861, 1336, 9887, 6679, 909, 547, 3627, 827, 1200, 1378, 9620, 607, 513, 4807, 538, 17825, 269, 2701, 5143, 1864, 827, 519, 2053, 1352, 9364, 1044, 14437, 936, 538, 11401, 267, 610, 25323, 676, 5256, 9164, 269, 1656, 1352, 3838, 1200, 5075, 585, 513, 1732, 2104, 910, 835, 1141, 2021, 941, 2016, 3160, 4316, 543, 6041, 538, 782, 2127, 540, 519, 2754, 780, 2414, 8861, 781, 9983, 267, 3627, 19557, 18906, 1947, 267, 12162, 3429, 2059, 543, 5356, 10372, 950, 3617, 269, 1635, 519, 1439, 540, 741, 6643, 267, 789, 1185, 2097, 909, 609, 513, 1544, 547, 2936, 1082, 540, 519, 2093, 689, 8861, 781, 11556, 267, 1519, 513, 2021, 781, 5718, 1646, 1982, 267, 25505, 2516, 585, 4775, 5520, 267, 543, 8537, 17849, 2853, 780, 2026, 3627, 2451, 519, 6995, 6300, 267, 646, 5828, 547, 8861, 543, 1767, 267, 834, 2791, 917, 267, 649, 666, 1405, 1689, 519, 3003, 2872, 16074, 269, 1809, 952, 649, 666, 1118, 513, 3017, 1934, 693, 772, 4916, 267, 6148, 824, 3549, 786, 1246, 9290, 3010, 27880, 14478, 607, 3627, 20374, 883, 519, 24925, 3781, 267, 4743, 513, 2631, 540, 4126, 543, 8990, 11547, 936, 1200, 269, 9320, 267, 1175, 6148, 267, 1919, 1223, 1689, 585, 519, 1732, 269, 0, 2237, 513, 8903, 1650, 1644, 547, 519, 1739, 1257, 6256, 912, 22081, 1281, 772, 4916, 10994, 519, 896, 10517, 19948, 540, 2021, 538, 519, 17825, 543, 6765, 2872, 998, 4763, 543, 10014, 7341, 888, 308, 4916, 814, 8045, 1896, 4763, 543, 10014, 7341, 547, 10994, 519, 896, 10517, 19948, 540, 2021, 538, 519, 17825, 543, 6765, 2872, 269, 2368, 540, 891, 7341, 1331, 1384, 272, 269, 6468, 781, 15557, 4886, 5358, 281, 772, 4916, 814, 513, 5718, 1646, 1982, 2966, 547, 1020, 543, 5965, 2021, 585, 5718, 5107, 1369, 519, 2754, 269, 901, 1982, 2882, 5718, 2866, 267, 29013, 267, 543, 13033, 3255, 780, 273, 269, 10500, 6541, 20492, 281, 772, 4916, 814, 1896, 25505, 2516, 267, 1519, 6468, 781, 15557, 4886, 267, 602, 1683, 3255, 585, 5520, 547, 1921, 543, 3060 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 11885, 607, 5286, 454, 5228, 28189, 17085, 13831, 1104, 918, 9288, 753, 692, 5228, 533, 2096, 913, 269, 583, 2812, 28802, 1104, 3356, 318, 8663, 7531, 3698, 23969, 8548, 1385, 9852, 913, 12774, 267, 737, 318, 30976, 284, 272, 267, 3193, 318, 743, 31255, 284, 1428, 267, 737, 318, 28375, 284, 272, 2187, 825, 8173, 825, 10318, 1149, 519, 6099, 1297, 540, 13421, 538, 519, 2039, 1305, 676, 519, 3593, 1210, 454, 825, 519, 23969, 1505, 780, 825, 30352, 454, 825, 28612, 734, 454, 825, 1847, 12774, 2433, 1239, 18134, 454, 1038, 634, 3403, 18330, 1239, 563, 825, 737, 318, 30976, 281, 703, 267, 18593, 630, 272, 676, 9949, 1916, 1038, 634, 3355, 1871, 1031, 538, 519, 5872, 540, 519, 23969, 1505, 269, 3115, 637, 757, 519, 5021, 2338, 540, 13421, 563, 825, 3193, 318, 743, 31255, 281, 703, 267, 18593, 630, 1428, 476, 676, 9949, 1916, 1038, 634, 5021, 1871, 1031, 538, 519, 5872, 540, 519, 23969, 1505, 269, 26228, 1297, 540, 13421, 547, 1449, 585, 454, 825, 737, 318, 28375, 281, 703, 267, 18593, 630, 272, 676, 9949, 1916, 1038, 9214, 618, 1871, 540, 519, 5311, 1031, 676, 519, 23969, 1505, 780, 825, 16849, 454, 825, 476, 9339, 8894, 825, 24880, 5091, 545, 2433, 8675, 454, 1038, 634, 24880, 2418, 722, 489, 25991, 1721, 519, 1114, 2338, 540, 13421, 454, 825, 7151, 454, 825, 476, 9339, 8894, 1038, 24159, 269, 601, 11312, 8548, 1385, 9852, 913, 12774, 284, 332, 913, 32470, 314, 9131, 26245, 3299, 1412, 23127, 11172, 3910, 737, 318, 30976, 815, 476, 273, 267, 3193, 318, 743, 31255, 815, 476, 1704, 267, 737, 318, 28375, 815, 476, 273, 994, 2018, 2715, 273, 281, 476, 20862, 10019, 269, 14689, 276, 4281, 29496, 3607, 2676, 17264, 476, 275, 281, 476, 25090, 269, 6924, 274, 277, 4649, 280, 2537, 279, 3066, 4343, 2676, 17264, 476, 277, 281, 476, 10844, 269, 27183, 278, 2918, 4510, 277, 6110, 4037, 2676, 17264, 476, 279, 281, 476, 7830, 269, 277, 1240, 276, 4200, 4817, 277, 279, 3583, 28307, 2676, 17264, 476, 1015, 281, 476, 3393, 269, 6795, 277, 276, 4391, 6872, 273, 280, 736, 4649, 2676, 17264, 476, 1321, 281, 476, 4097, 269, 27088, 4343, 277, 31318, 29720, 4817, 2676, 17264, 476, 1691, 281, 476, 2918, 269, 5400, 278, 4343, 278, 3607, 278, 275, 4375, 25375, 2676, 17264, 476, 1626, 281, 476, 736, 269, 5038, 274, 7597, 274, 15686, 278, 4375, 10844, 8679, 825, 29185, 825, 5048, 815, 834, 2750, 1815, 5024, 4432, 11312, 6396, 547, 24097, 333, 1862, 298, 540, 15079, 547, 15079, 689, 737, 318, 28375, 281, 346, 4153, 333, 2668, 8971, 18692, 1038, 737, 318, 30976, 267, 3193, 318, 743, 31255, 267, 737, 318, 28375, 454, 825, 12467, 825, 1820, 9852, 20687, 267, 23574, 18989, 994, 825, 24880, 5091, 545, 815, 31460, 825, 585, 737, 538, 3356, 318, 8663, 263, 9792, 17347, 318, 30976, 267, 3193, 318, 743, 31255, 267, 737, 318, 28375, 15892, 1038, 1948, 4570, 532, 918, 1871, 538, 918, 24578, 753, 454, 1038, 1948, 1820, 3488, 1862, 11687, 532, 737, 281, 15079, 8339, 8971, 17347, 4917, 1038, 24880, 5091, 545, 25208, 316, 815, 918, 9288, 753, 3799, 318, 743, 31255, 284, 330, 1040, 7257, 9852, 913, 12774, 1040, 514, 1068, 807, 29390, 825, 2132, 24880, 5091, 545, 7531, 3698, 7934, 14067, 520, 2065, 18692, 825, 1847, 12774, 267, 562, 10915, 338, 284, 274, 267, 737, 318, 30976, 284, 272, 267, 3193, 318, 743, 31255, 284, 1428, 267, 737, 318, 28375, 284, 272, 454, 2187, 825, 8173, 825, 6726, 919, 6099, 13421, 2338, 1210, 29361, 6465, 2065, 689, 570, 756, 3333, 597, 8643, 2676, 825, 9546, 750, 267, 670, 770, 773, 780, 825, 30352, 454, 825, 28612, 734, 454, 825, 1847, 12774, 281, 26998, 14019, 540, 3337, 630, 333, 5334, 3263, 267, 562, 6958, 324, 2137, 1916, 1038, 634, 3403, 18330, 1239, 563, 825, 562, 10915, 338, 281, 703, 267, 18593, 630, 274, 676, 9949, 1916, 1038, 1297, 540, 3732, 4704, 14449, 547, 1711, 454, 825, 737, 318, 30976, 281, 703, 267, 18593, 630, 272, 676, 9949, 1916, 1038, 634, 3355, 1871, 1031, 538, 519, 5872, 540, 519, 23969, 1505, 269, 3115, 637, 757, 519, 5021, 2338, 540, 13421, 563, 825, 3193, 318, 743, 31255, 281, 703, 267, 18593, 630, 1428, 476, 676, 9949, 1916, 1038, 26228, 1297, 540, 13421, 547, 1449, 585, 563, 825, 737, 318, 28375, 281, 842, 267, 18593, 630, 272, 676, 9949, 1916, 1038, 9214, 618, 1871, 540, 519, 5311, 1031, 676, 519, 23969, 1505, 780, 825, 16849, 454, 825, 476, 9339, 8894, 825, 10616, 2433, 476, 8675, 454, 1038, 634, 5470, 1871, 585, 1142, 12440, 1297, 692, 825, 11872, 454, 825, 476, 955, 8894, 825, 4179, 2517, 534, 659, 25352, 3820, 8276, 3796, 23950, 9734, 17320, 777, 3613, 520, 2065, 14672, 1774, 1504, 454, 825, 29185, 825, 5048, 815, 834, 2750, 1815, 5024, 29361, 6465, 2065, 547, 24097, 333, 1862, 298, 540, 15079, 547, 15079, 689, 737, 318, 28375, 281, 346, 4153, 333, 2668, 8971, 18692, 1038, 737, 318, 30976, 267, 3193, 318, 743, 31255, 267, 737, 318, 28375, 454, 825, 12467, 825, 1820, 9852, 20687, 267, 23574, 18989, 994, 825, 10616, 815, 31460, 825, 585, 737, 538, 3356, 318, 8663, 263, 9792, 17347, 318, 30976, 267, 3193, 318, 743, 31255, 267, 737, 318, 28375, 15892, 1038, 1948, 15579, 518, 585, 4704, 24980, 2164, 454, 1038, 1201, 11514, 1186, 815, 5286, 25910, 3799, 10915, 338, 994, 1038, 1948, 1280, 562, 8100, 267, 5352, 4351, 3732, 543, 1685, 737, 1889, 753, 3478, 4611, 24980, 540, 1142, 8520, 454, 1038, 585, 1775, 538, 2039, 3799, 10915, 338, 2187, 2018, 1948, 8073, 1007, 4351, 4704, 1305, 454, 2018, 4351, 27270, 815, 5286, 20179, 20179, 5334, 2217, 4433, 1125, 284, 332, 913, 12774, 17482, 994, 2018, 1948, 28546, 547, 621, 454, 2018, 5998, 815, 918, 9288, 753, 17347, 994, 2018, 5998, 32265, 263, 12690, 27270, 994, 2018, 1201, 291, 7371, 815, 5998, 23357, 1068, 807, 29390, 2018, 1201, 11514, 1186, 5157, 316, 815, 1201, 291, 7371, 454, 1038, 1948, 28546, 12440, 547, 3312, 1239, 543, 1711, 24980, 454, 1038, 5998, 815, 918, 9288, 753, 17347, 1040, 7257, 9852, 913, 12774, 994, 1038, 1976, 291, 7371, 815, 5998, 23357, 1068, 807, 29390, 1038, 1948, 12433, 7934, 18802, 454, 1038, 7934, 815, 5286, 28802, 18828, 32557, 263, 10915, 11514, 1186, 4297, 910, 5286, 28802, 263, 10594, 291, 7371, 994, 1038, 1948, 25849, 713, 8520, 781, 7934, 18802, 547, 10616, 454, 1038, 10616, 25208, 316, 815, 7934, 692, 825, 2132, 10616, 476, 1948, 9578, 476, 272, 1317, 4994, 540, 476, 271, 1797, 476, 272, 12440, 568, 6099, 267, 4994, 476, 273, 815, 476, 274, 13421, 616, 6099, 454, 0, 30726, 12173, 815, 834, 11990, 29177, 258, 10750, 3667, 815, 5569, 910, 3436, 834, 11990, 257, 568, 513, 5569, 910, 579, 1152, 991, 834, 257, 950, 13936, 513, 5569, 1477, 258, 2338, 21645, 991, 834, 29177, 258, 1630, 18978, 815, 6936, 610, 8771, 2418, 9847, 2115, 547, 581, 3854, 1477, 529, 8548, 1446, 815, 6936, 1477, 30726, 318, 720, 815, 476, 2004, 1477, 2745, 2891, 2467, 2899, 729, 513, 812, 3957, 834, 1341, 1915, 12173, 1341, 14824, 3418, 2745, 2891, 3891, 729, 834, 1341, 1915, 318, 720, 1341, 834, 1296, 2025, 1701, 3418, 2745, 2891, 3891, 2731, 17329, 519, 2012, 834, 1341, 1915, 12173, 1341, 834, 2437, 3418, 2745, 2891, 8117, 1705, 711, 899, 1373, 834, 1341, 1915, 318, 720, 1341, 834, 1701, 10142, 30726, 12173, 815, 834, 25402, 29177, 30726, 318, 720, 815, 834, 736, 29177, 2745, 2891, 2467, 2899, 729, 513, 812, 3957, 834, 1341, 1915, 12173, 1341, 14824, 3418, 2745, 2891, 3891, 729, 834, 1341, 1915, 318, 720, 1341, 834, 1296, 2025, 1701, 3418, 30726, 12173, 815, 834, 300, 833, 29177, 30726, 318, 720, 815, 834, 4792, 29177, 2745, 2891, 3891, 2731, 17329, 519, 2012, 834, 1341, 1915, 12173, 1341, 834, 2437, 3418, 2745, 2891, 8117, 1705, 711, 899, 1373, 834, 1341, 1915, 318, 720, 1341, 834, 1701, 264, 0, 26611, 23591, 24800, 270, 7090, 274, 692, 5814, 11885, 607, 5286, 692, 3698, 568, 318, 18905, 3799, 2187, 825, 1775, 815, 476, 274, 454, 825, 3193, 5091, 643, 529, 528, 815, 5286, 28460, 3799, 994, 825, 1247, 1775, 10922, 3193, 5091, 643, 529, 528, 912, 1038, 952, 562, 4939, 1775, 2652, 476, 271, 912, 2018, 2132, 476, 271, 454, 1038, 1775, 6834, 476, 273, 454, 825, 2132, 476, 272, 692, 258, 476, 7785, 5952, 272, 275, 4037, 16960, 454, 3698, 1293, 3799, 2187, 825, 1101, 5091, 643, 815, 703, 18828, 28460, 3799, 4297, 1341, 476, 272, 454, 825, 1820, 6600, 1009, 5091, 643, 994, 825, 585, 1775, 538, 2039, 6600, 1009, 5091, 643, 267, 476, 274, 267, 910, 273, 2187, 1038, 952, 562, 4939, 1775, 2652, 476, 271, 912, 2018, 1820, 2891, 328, 281, 14307, 1775, 994, 2018, 952, 568, 318, 18905, 9217, 2187, 3546, 1820, 2891, 10946, 6305, 281, 14307, 1775, 994, 3546, 2736, 692, 5814, 942, 454, 339, 271, 815, 942, 28333, 3890, 3097, 258, 1293, 263, 14530, 4817, 994, 12248, 263, 7785, 5952, 272, 275, 4037, 16960, 2020, 2745, 2891, 11742, 281, 14307, 942, 28333, 3890, 910, 512, 271, 264, 0, 11133, 7272, 531, 822, 6652, 815, 703, 9272, 31156, 4289, 320, 14682, 520, 559, 327, 657, 815, 31460, 1721, 9041, 538, 2039, 16325, 7272, 531, 822, 6652, 2187, 825, 575, 520, 559, 14833, 267, 735, 677, 3512, 334, 815, 3403, 14061, 20889, 4590, 825, 30458, 14682, 520, 559, 327, 657, 314, 326, 520, 559, 14833, 316, 815, 735, 677, 3512, 334, 22562, 325, 19189, 815, 3403, 14061, 20889, 4590, 14310, 5964, 815, 11713, 1721, 5493, 822, 571, 538, 9992, 848, 912, 825, 585, 575, 520, 559, 14833, 267, 735, 677, 3512, 334, 538, 30458, 14682, 520, 559, 327, 657, 29096, 10031, 1038, 952, 5493, 822, 571, 2652, 575, 520, 559, 14833, 912, 2018, 1267, 5964, 6910, 263, 1260, 1636, 3512, 334, 2020, 604, 1267, 5964, 11203, 1496, 14158, 825, 1820, 3488, 29717, 21860, 31114, 5964, 4917, 12828, 912, 825, 1820, 3488, 307, 30186, 581, 332, 256, 5073, 0, 1998, 528, 815, 703, 9272, 15405, 2745, 263, 1998, 528, 267, 1439, 8782, 30386, 604, 27089, 4939, 476, 273, 2652, 476, 271, 912, 825, 1820, 3488, 2946, 1612, 5073, 12828, 912, 825, 1820, 3488, 2946, 3331, 511, 332, 1706, 5073, 2745, 263, 1998, 528, 1341, 476, 273, 264, 0, 1998, 528, 815, 703, 9272, 15405, 2745, 263, 1998, 528, 994, 1721, 524, 539, 3121, 538, 1496, 1911, 267, 476, 2004, 267, 476, 736, 267, 476, 1015, 267, 476, 276, 267, 476, 273, 267, 476, 272, 14158, 825, 1820, 6600, 262, 346, 1998, 528, 2260, 1027, 3121, 348, 711, 320, 4433, 264, 632, 681, 259, 2715, 1027, 3121, 9574, 876, 5073, 825, 27089, 4939, 284, 524, 539, 3121, 454, 0, 2425, 16780, 807, 815, 3403, 10797, 6112, 3524, 16780, 807, 11203, 1412, 325, 574, 12466, 825, 2144, 549, 815, 8771, 454, 825, 585, 1347, 538, 3524, 16780, 807, 912, 1038, 952, 1347, 711, 538, 1412, 4905, 12466, 2018, 2144, 549, 815, 6936, 454, 2018, 1820, 3488, 518, 549, 5073, 2018, 2736, 28329, 825, 952, 2144, 549, 2652, 8771, 912, 1038, 1612, 573, 1228, 815, 3524, 16780, 807, 29644, 3488, 272, 5073, 1038, 952, 1612, 573, 1228, 4939, 476, 273, 2652, 476, 271, 912, 2018, 1820, 3488, 271, 5073, 1038, 3116, 912, 2018, 1820, 3488, 272, 17210, 825, 3524, 16780, 807, 815, 3403, 4590, 0, 333, 2345, 815, 18358, 2304, 320, 3299, 1412, 13825, 14244, 3299, 1412, 26469, 334, 3299, 1412, 6826, 520, 10961, 12887, 297, 657, 2946, 12887, 293, 1716, 18372, 12887, 294, 629, 21119, 23300, 333, 2345, 314, 273, 316, 815, 1412, 303, 539, 549, 7055, 333, 2345, 314, 271, 316, 815, 1412, 7055, 333, 2345, 15631, 272, 316, 815, 1412, 2304, 320, 7055, 333, 2345, 314, 272, 281, 274, 316, 815, 18358, 289, 14725, 334, 12887, 294, 1968, 4777, 23300, 333, 2345, 314, 271, 281, 274, 316, 815, 11713, 333, 2345, 27044, 263, 272, 10086, 294, 755, 822, 334, 5073, 2745, 3799, 2345, 264, 0, 301, 815, 703, 9272, 31156, 2889, 1076, 5733, 815, 11713, 1721, 1775, 538, 2039, 18217, 2187, 825, 1966, 320, 267, 1151, 1075, 7776, 267, 546, 881, 592, 323, 1228, 815, 3403, 14061, 20889, 4590, 825, 1966, 553, 6910, 9230, 842, 5560, 881, 592, 323, 1228, 1070, 1151, 1075, 7776, 264, 9239, 258, 3698, 30775, 7776, 5416, 2187, 258, 825, 2132, 513, 314, 271, 6540, 2889, 1076 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1533, 1683, 15314, 585, 16459, 782, 3887, 10431, 2679, 1949, 269, 901, 16252, 568, 5812, 609, 824, 5359, 593, 1232, 12365, 1436, 543, 18546, 2305, 267, 1519, 634, 11059, 4643, 547, 24665, 622, 21864, 5082, 30826, 538, 519, 29036, 543, 519, 24438, 4676, 3419, 518, 656, 10046, 630, 23623, 293, 264, 10369, 11150, 7797, 267, 3370, 676, 29036, 6052, 21252, 16890, 4721, 630, 301, 7417, 303, 1070, 835, 540, 3670, 6237, 1648, 4398, 3906, 630, 12767, 11675, 264, 14102, 538, 851, 676, 519, 772, 2529, 269, 4972, 540, 6052, 563, 10817, 728, 5264, 3194, 5267, 1648, 4398, 7836, 538, 3345, 3013, 786, 1332, 547, 5176, 1269, 1556, 5479, 829, 1032, 936, 519, 1985, 8717, 269, 5398, 543, 4357, 7341, 4724, 1232, 12365, 1436, 13745, 609, 519, 1942, 540, 1648, 616, 6117, 811, 22608, 2679, 9479, 543, 9086, 269, 901, 2882, 6450, 919, 543, 2883, 15314, 547, 5000, 811, 4264, 5656, 543, 519, 10073, 540, 1164, 26024, 3002, 15450, 543, 15283, 293, 1949, 269, 13966, 609, 5313, 4441, 543, 3292, 267, 899, 6052, 10060, 267, 3454, 17099, 543, 10626, 6450, 919, 786, 3136, 23960, 519, 10073, 540, 1648, 18026, 3124, 919, 547, 8093, 1532, 9506, 1949, 563, 306, 6295, 5082, 30826, 12694, 609, 15283, 293, 5303, 454, 23623, 293, 1949, 616, 19918, 17479, 547, 948, 2679, 5411, 2743, 2910, 273, 5786, 3853, 543, 2539, 1648, 946, 543, 3790, 269, 1358, 2461, 2966, 585, 6905, 1272, 9979, 3246, 4264, 2773, 1134, 883, 519, 2104, 563, 10907, 1484, 519, 772, 2529, 1421, 513, 7771, 538, 5755, 30187, 5201, 4389, 2910, 273, 5434, 676, 476, 273, 269, 272, 260, 538, 476, 1001, 280, 269, 634, 2063, 1804, 5755, 30187, 1379, 2030, 538, 1715, 4789, 6806, 538, 2904, 540, 476, 1001, 278, 267, 543, 519, 2063, 540, 1715, 3840, 779, 5755, 2371, 6806, 538, 476, 1708, 271, 269, 24997, 1648, 568, 1631, 1942, 8013, 609, 8093, 1922, 3241, 2861, 5108, 585, 10626, 3549, 563, 763, 1648, 4398, 543, 4987, 540, 15283, 293, 1949, 786, 948, 20848, 4383, 519, 2591, 540, 8445, 13907, 267, 10626, 8397, 4859, 267, 543, 4756, 5108, 689, 2842, 543, 3859, 1379, 269, 1306, 7580, 18546, 2305, 21040, 267, 713, 786, 581, 5051, 1271, 269, 13689, 2390, 18546, 2305, 10073, 267, 519, 5993, 18487, 3747, 585, 5201, 949, 2333, 676, 909, 547, 476, 274, 267, 10384, 1768, 1177, 3430, 3108, 610, 476, 5952, 260, 676, 476, 13078, 271, 563, 21328, 4398, 568, 513, 32563, 585, 1232, 12365, 1436, 269, 769, 4525, 609, 3327, 25673, 1379, 21870, 267, 1210, 811, 3608, 1949, 543, 14233, 2337, 2569, 1648, 4616, 607, 513, 1434, 1101, 1900, 4724, 16715, 3327, 29066, 269, 24438, 32728, 13369, 15283, 293, 8022, 543, 9023, 1949, 616, 909, 547, 476, 2412, 260, 811, 1648, 3608, 982, 6671, 267, 6378, 32728, 13369, 25256, 3937, 269, 4107, 540, 891, 9806, 2049, 1282, 9864, 2000, 1933, 2175, 267, 607, 15283, 293, 1949, 946, 28860, 12454, 14771, 832, 547, 4188, 4390, 543, 1648, 4616, 547, 10502, 6474, 1142, 7997, 779, 4452, 563, 23623, 293, 1949, 5781, 3035, 14170, 540, 2773, 630, 4596, 11679, 264, 540, 476, 274, 543, 2362, 267, 2495, 789, 666, 5838, 1454, 811, 3002, 982, 519, 1379, 789, 8532, 538, 26334, 269, 3958, 267, 15283, 293, 1949, 2154, 1447, 13811, 1740, 982, 7142, 25101, 1949, 267, 2417, 4227, 519, 1648, 10057, 676, 1804, 10178, 16546, 563, 4467, 14293, 3002, 6802, 1216, 28909, 1210, 2147, 28860, 12454, 26468, 2029, 616, 1631, 2139, 547, 1683, 1164, 31891, 6469, 3905, 1216, 630, 291, 295, 310, 264, 585, 5010, 5656, 269, 667, 295, 310, 6589, 585, 10199, 476, 1839, 260, 540, 5993, 1648, 6165, 538, 12947, 13637, 5656, 267, 20730, 267, 10506, 267, 9972, 2713, 6703, 267, 543, 824, 5010, 5624, 269, 901, 1648, 18820, 568, 14427, 585, 2679, 5411, 543, 814, 513, 1713, 2825, 1764, 1813, 547, 8511, 3154, 5434, 269, 1306, 513, 3070, 267, 631, 1080, 889, 31381, 11272, 5063, 5189, 519, 782, 3887, 10431, 267, 4411, 12641, 1493, 14333, 273, 302, 12182, 4826, 14333, 27124, 547, 3648, 2569, 519, 2825, 1764, 540, 667, 295, 310, 998, 1648, 18026, 5106, 543, 946, 540, 2910, 273, 14023, 656, 563, 4596, 273, 267, 513, 2067, 543, 13476, 7874, 14023, 656, 609, 513, 2518, 8337, 1761, 630, 294, 310, 303, 264, 540, 476, 272, 543, 606, 17645, 22930, 1761, 630, 7495, 303, 264, 540, 4642, 267, 2337, 5010, 6703, 20618, 585, 11826, 6940, 24501, 267, 971, 607, 12809, 2777, 4567, 269, 4635, 14333, 273, 302, 6971, 593, 21935, 3327, 5434, 538, 519, 2504, 540, 6469, 3905, 1216, 563, 13356, 12365, 1242, 4826, 1261, 908, 454, 763, 14333, 273, 302, 1062, 31267, 3810, 3608, 3002, 5385, 1210, 513, 31601, 27390, 18700, 3154, 16830, 267, 1141, 1614, 14023, 656, 3515, 616, 20386, 1472, 513, 27390, 1216, 10612, 269, 634, 2910, 273, 14023, 656, 8928, 538, 519, 6587, 4287, 540, 519, 1216, 269, 26121, 519, 14023, 656, 3515, 2059, 519, 10612, 779, 9240, 7174, 4679, 519, 3002, 8410, 2265, 633, 1858, 267, 1247, 519, 18700, 2337, 1711, 513, 642, 29448, 538, 519, 10612, 267, 23960, 519, 31285, 1198, 540, 1216, 543, 4227, 2604, 2530, 538, 519, 3002, 9401, 9734, 269, 18734, 2590, 8143, 1648, 689, 9205, 2011, 547, 1494, 762, 1216, 676, 15203, 14023, 656, 267, 2067, 2910, 273, 6087, 519, 1062, 547, 3761, 3905, 1216, 909, 547, 476, 12293, 13790, 267, 1256, 950, 3544, 5210, 616, 607, 1970, 607, 14263, 476, 1724, 4113, 563, 763, 28860, 12454, 20801, 26468, 538, 519, 3002, 6802, 2417, 4679, 14333, 273, 302, 779, 1648, 4398, 676, 7175, 519, 1062, 547, 1110, 3634, 14023, 656, 2095, 543, 8022, 4390, 547, 6474, 13907, 269, 14333, 273, 302, 666, 1683, 936, 2185, 2053, 811, 1648, 607, 3002, 982, 519, 1062, 27499, 538, 5201, 563, 4415, 513, 30505, 540, 909, 547, 476, 275, 269, 7367, 267, 14333, 273, 302, 3091, 1648, 9806, 540, 476, 2568, 260, 268, 3583, 260, 585, 2679, 5411, 543, 4557, 1218, 3379, 547, 3167, 9113, 2700, 1216, 28909, 269, 1403, 6964, 693, 4336, 538, 519, 772, 2529, 269, 4805, 267, 519, 2825, 1764, 1223, 581, 1713, 269, 6052, 9806, 5916, 609, 15314, 689, 20848, 666, 6038, 15558, 1101, 3790, 563, 28959, 273, 302, 568, 606, 22041, 3070, 2966, 547, 2327, 10380, 2298, 543, 6099, 2773, 540, 519, 3002, 6802, 269, 22020, 1331, 513, 3002, 6802, 1216, 22865, 282, 3905, 1216, 4859, 13688, 282, 18711, 13688, 267, 6281, 3002, 9401, 13377, 282, 543, 4756, 18286, 267, 6281, 5547, 15450, 563, 5472, 3887, 10431, 667, 295, 310, 568, 2907, 538, 3747, 585, 5010, 5656, 3168, 547, 2743, 10728, 6940, 543, 1648, 21057, 3800, 269, 2776, 14083, 1239, 689, 606, 10380, 693, 519, 7345, 1613, 18975, 267, 513, 22208, 24184, 16958, 12947, 13637, 23029, 267, 6920, 14333, 273, 302, 786, 4688, 519, 8027, 6392, 811, 982, 476, 15793, 267, 279, 4037, 330, 2662, 270, 20204, 630, 320, 476, 2412, 260, 6175, 1040, 901, 1226, 919, 547, 827, 1269, 1428, 267, 1822, 538, 10512, 9806, 12422, 630, 6748, 1269, 271, 269, 1556, 31574, 2662, 5122, 2557, 1040, 2776, 16227, 267, 519, 2679, 16941, 593, 606, 10172, 3167, 15245, 1062, 547, 3132, 667, 295, 310, 585, 476, 1911, 835, 1532, 539, 3336, 6306, 906, 593, 476, 1724, 2984, 563, 31640, 601, 3057, 4897, 267, 513, 1269, 2004, 2929, 22058, 566, 540, 519, 8978, 623, 790, 25651, 2679, 538, 1715, 670, 13273, 267, 21086, 267, 568, 835, 540, 519, 1101, 2121, 25179, 20730, 538, 519, 772, 2529, 269, 589, 14333, 273, 302, 1062, 568, 8704, 547, 3035, 519, 1788, 779, 6940, 3853, 267, 1519, 19845, 3633, 1773, 11294, 636, 13995, 543, 1373, 476, 2568, 260, 811, 1648, 3608, 982, 3009, 4170, 563, 28959, 273, 302, 568, 2139, 538, 2824, 6990, 267, 1519, 1715, 3840, 267, 12590, 267, 6115, 267, 14822, 267, 543, 8832, 4993, 269, 589, 18487, 5066, 719, 568, 17191, 585, 476, 1708, 274, 269, 0, 14454, 267, 519, 21152, 941, 3843, 547, 723, 513, 1360, 8766, 2179, 540, 5872, 609, 4279, 6628, 269, 1306, 18536, 8361, 1767, 538, 476, 10082, 276, 968, 24876, 803, 15698, 610, 2285, 803, 2669, 892, 630, 291, 17805, 476, 276, 1040, 2368, 21152, 941, 865, 29043, 609, 519, 3703, 602, 789, 941, 8348, 547, 4339, 585, 741, 5191, 269, 4256, 6547, 6038, 1291, 547, 519, 1977, 7169, 543, 267, 689, 602, 2676, 2467, 729, 711, 2141, 513, 1966, 1063, 519, 21152, 543, 6628, 269, 2311, 835, 1448, 519, 21152, 941, 10169, 4830, 269, 2991, 519, 3703, 1305, 909, 519, 32522, 20450, 267, 799, 1500, 519, 21152, 711, 2111, 547, 4123, 609, 4896, 3116, 1510, 621, 2469, 998, 6628, 267, 1101, 972, 729, 1945, 1572, 2892, 583, 776, 10714, 269, 6428, 583, 776, 10714, 729, 606, 2296, 3609, 540, 21363, 519, 3652, 593, 922, 10125, 269, 4438, 713, 942, 519, 10125, 7283, 10121, 547, 6628, 563, 306, 550, 14939, 21478, 674, 18017, 585, 5191, 568, 1018, 3893, 721, 1934, 2221, 256, 7982, 1287, 538, 519, 476, 10082, 271, 779, 3013, 4941, 3196, 267, 855, 4941, 1697, 3498, 540, 3196, 269, 16690, 626, 4941, 9668, 689, 4789, 2094, 741, 1004, 941, 711, 1373, 5701, 1318, 269, 634, 21152, 7985, 950, 3703, 28117, 519, 10125, 267, 22205, 2933, 883, 21152, 685, 5321, 267, 2059, 609, 8635, 2229, 8797, 563, 18128, 757, 602, 7018, 1282, 519, 1977, 7169, 17451, 9289, 1018, 3366, 547, 519, 1977, 4838, 286, 2107, 1018, 5949, 538, 2038, 3013, 286, 901, 786, 581, 8720, 2621, 1282, 519, 1974, 540, 476, 12293, 274, 1107, 476, 10082, 276, 602, 3361, 4655, 1063, 7810, 3013, 543, 4279, 6628, 269, 5015, 267, 875, 519, 14044, 23830, 540, 476, 10082, 276, 4564, 1977, 3935, 626, 779, 4606, 827, 519, 22477, 543, 519, 4279, 6628, 12057, 269, 5047, 267, 519, 7440, 543, 24134, 585, 7115, 540, 7338, 10266, 324, 543, 7338, 16962, 563, 2690, 811, 982, 513, 8717, 1354, 519, 12176, 540, 519, 1977, 7169, 538, 476, 10082, 276, 267, 13253, 1185, 1044, 2679, 1063, 21152, 543, 519, 3703, 8128, 563, 24174, 304, 9737, 519, 1296, 476, 11260, 271, 543, 476, 10082, 277, 267, 4789, 729, 1327, 6362, 1524, 593, 519, 10125, 267, 25412, 6266, 540, 9204, 1996, 519, 21152, 971, 607, 519, 853, 2086, 20450, 543, 24104, 9150, 20450, 269, 570, 5014, 941, 1164, 1063, 4789, 543, 519, 10125, 543, 519, 2856, 602, 513, 7169, 1522, 1491, 1747, 7012, 1406, 856, 540, 519, 2243, 269, 1656, 621, 729, 1063, 1346, 476, 1839, 1296, 602, 21152, 538, 3013, 3459, 547, 1265, 513, 2631, 540, 9322, 543, 513, 2631, 540, 741, 1378, 1367, 9163, 563, 6524, 519, 1977, 7169, 267, 1034, 21152, 1185, 14612, 689, 4789, 547, 519, 3345, 1977, 10125, 6236, 2933, 4961, 540, 519, 3703, 10504, 543, 5275, 513, 1732, 1272, 269, 1717, 267, 3527, 3144, 689, 519, 25550, 6837, 723, 13175, 547, 2243, 3703, 1379, 269, 2991, 519, 3943, 543, 4095, 2782, 1063, 5333, 543, 6628, 267, 519, 3703, 2229, 723, 26884, 741, 1379, 543, 6392, 2509, 519, 10125, 676, 3454, 532, 873, 1510, 6041, 269, 1306, 513, 1267, 267, 1063, 476, 11260, 271, 268, 12293, 277, 267, 519, 10125, 540, 3013, 723, 8087, 543, 4956, 547, 17551, 7115, 689, 4279, 6628, 547, 1831, 513, 3811, 267, 1582, 31465, 4182, 563, 4913, 267, 519, 4497, 906, 540, 4789, 941, 711, 4628, 24407, 1881, 269, 2755, 519, 21152, 3576, 5413, 540, 519, 4027, 543, 11931, 2095, 540, 16450, 602, 4789, 3177, 873, 609, 267, 789, 941, 10283, 538, 3454, 859, 5235, 799, 568, 513, 7803, 25213, 1256, 538, 938, 1378, 2486, 2221, 269, 634, 21152, 941, 5360, 8809, 543, 796, 1952, 3285, 894, 543, 602, 729, 14356, 519, 2296, 2229, 779, 13337, 269, 634, 2296, 16662, 1549, 958, 31411, 519, 21152, 547, 2226, 1978, 6788, 267, 543, 950, 1346, 6788, 8959, 547, 6474, 609, 4641, 519, 21152, 2968, 11821, 543, 14220, 269, 10925, 3274, 267, 519, 21152, 941, 28330, 547, 24401, 6150, 4620, 592, 656, 1453, 267, 543, 519, 2296, 941, 22424, 564, 550, 543, 24835, 762, 540, 5265, 14139, 741, 1379, 936, 519, 454, 763, 5853, 532, 12429, 338, 6450, 8215, 1996, 519, 3703, 2229, 585, 1434, 4128, 267, 799, 3366, 547, 519, 1977, 7169, 538, 476, 9965, 274, 269, 634, 5853, 532, 12429, 338, 941, 20582, 538, 6450, 2454, 1996, 519, 6628, 1317, 519, 2229, 729, 711, 7863, 519, 2924, 540, 519, 4961, 267, 3454, 532, 519, 21152, 267, 543, 7142, 873, 547, 2777, 3703, 7980, 269, 769, 476, 11260, 277, 6628, 2322, 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 ]
[ 286, 476, 2568, 910, 24341, 16708, 413, 376, 482, 15512, 29857, 24341, 16708, 10382, 282, 31057, 482, 14832, 29857, 24341, 16708, 10382, 282, 14668, 413, 376, 364, 395, 486, 24341, 16708, 32703, 19084, 282, 31057, 478, 17385, 24681, 31149, 16575, 24341, 16708, 14267, 14832, 282, 31057, 478, 17385, 24681, 24341, 16708, 31149, 11196, 394, 511, 16708, 10382, 5148, 31057, 368, 19031, 15512, 24341, 16708, 15403, 19084, 282, 3852, 374, 395, 491, 11027, 24341, 16708, 15403, 19084, 282, 18494, 15770, 15512, 24341, 16708, 29111, 19084, 269, 512, 333, 3852, 510, 14267, 15184, 24341, 16708, 15770, 395, 491, 19084, 630, 290, 516, 974, 5148, 3852, 504, 395, 491, 15184, 24341, 16708, 10382, 269, 595, 325, 269, 30166, 19902, 630, 3192, 273, 281, 476, 14225, 1015, 1040, 476, 8618, 910, 24341, 17385, 263, 17385, 9984, 10382, 270, 14267, 339, 333, 3852, 506, 31149, 16708, 11027, 24341, 17385, 17385, 10382, 630, 332, 3474, 657, 5148, 3852, 506, 21227, 24681, 10382, 16575, 24341, 17385, 17385, 32703, 19084, 630, 289, 4141, 582, 1014, 267, 674, 1157, 476, 5002, 276, 281, 476, 3199, 5148, 31057, 486, 16708, 29857, 24341, 16483, 16483, 32703, 19084, 630, 16920, 4700, 282, 18841, 377, 503, 19031, 24341, 16483, 16483, 32703, 19084, 630, 16920, 12175, 595, 325, 269, 910, 10382, 17385, 17385, 268, 14267, 268, 269, 476, 7830, 910, 24341, 16483, 24179, 14267, 268, 264, 31057, 478, 16575, 263, 16575, 264, 31149, 15512, 24341, 19084, 282, 3852, 374, 31149, 14832, 24341, 19084, 282, 18494, 394, 511, 15512, 24341, 19084, 282, 13179, 31149, 17385, 15184, 16575, 24341, 19084, 282, 26018, 31149, 11027, 24341, 19084, 630, 7069, 322, 269, 751, 1790, 320, 1040, 12344, 849, 31057, 482, 14832, 263, 14832, 264, 24341, 16483, 14267, 14832, 630, 10193, 910, 15184, 14267, 14832, 267, 910, 17385, 14267, 14832, 21663, 512, 333, 631, 413, 378, 365, 17385, 392, 479, 3852, 371, 16483, 10382, 630, 293, 1157, 476, 5002, 276, 281, 476, 10170, 1040, 595, 325, 269, 30166, 19902, 630, 3192, 273, 281, 476, 15094, 14093, 1040, 476, 8287, 910, 24341, 16483, 16483, 8450, 910, 24341, 17385, 263, 17385, 9984, 10382, 270, 14267, 268, 269, 476, 5038, 910, 24341, 395, 486, 268, 14267, 339, 333, 3852, 495, 413, 376, 364, 29857, 24341, 395, 486, 32703, 19084, 630, 292, 889, 4141, 320, 5148, 3852, 497, 10382, 16575, 24341, 395, 486, 32703, 19084, 630, 1320, 2350, 807, 1040, 476, 4792, 910, 15184, 268, 14267, 15512, 16708, 394, 511, 14832, 15184, 14267, 19084, 282, 3852, 374, 10382, 14832, 15184, 32703, 19084, 282, 21566, 11027, 394, 511, 16575, 15770, 15184, 14267, 19084, 282, 13179, 29111, 14832, 15184, 14267, 19084, 269, 6423, 932, 656, 9627, 630, 4350, 274, 281, 476, 3607, 279, 5148, 32647, 269, 910, 10382, 14832, 15184, 19985, 910, 15403, 14832, 15184, 19985, 910, 21227, 14832, 15184, 268, 269, 476, 5780, 910, 15184, 16708, 268, 10382, 270, 14267, 24681, 395, 491, 16708, 15403, 15184, 16708, 10382, 282, 13179, 31149, 16708, 10382, 15184, 16708, 14267, 14832, 282, 554, 333, 3852, 505, 29111, 15512, 24341, 15184, 16708, 10382, 269, 2201, 910, 10382, 15184, 16708, 14267, 14832, 1294, 30166, 19902, 630, 3192, 273, 281, 476, 24062, 4375, 2567, 3852, 374, 31149, 14832, 263, 14832, 264, 10382, 15184, 16708, 14267, 14832, 282, 21566, 11027, 31149, 16575, 10382, 15184, 16708, 14267, 14832, 269, 595, 325, 269, 593, 910, 17385, 16483, 16708, 268, 269, 476, 6858, 31057, 494, 16708, 21227, 15184, 413, 379, 495, 15512, 24341, 269, 910, 413, 379, 495, 15512, 268, 476, 3607, 3184, 476, 274, 476, 6924, 910, 413, 379, 495, 24556, 19031, 10382, 17385, 16483, 413, 379, 495, 24556, 268, 282, 12631, 15770, 19031, 395, 484, 413, 379, 495, 24556, 268, 269, 476, 7597, 910, 15403, 24556, 24556, 270, 24681, 270, 395, 485, 413, 376, 482, 17385, 16483, 16575, 15403, 24556, 24556, 10382, 19084, 282, 16061, 16708, 21227, 16483, 15403, 24556, 24556, 14267, 29111, 282, 31057, 498, 16575, 19031, 15403, 24556, 24556, 14267, 19084, 282, 16564, 16708, 29111, 24556, 24556, 14267, 19084, 630, 10193, 910, 15403, 24556, 24681, 19985, 910, 15403, 24556, 395, 485, 268, 5148, 16564, 413, 379, 370, 19031, 15403, 24556, 394, 378, 267, 910, 24556, 24556, 14267, 19084, 282, 18841, 377, 482, 16575, 15403, 24556, 24556, 14267, 19084, 269, 476, 3583, 910, 413, 379, 495, 29857, 6262, 325, 269, 910, 15403, 14832, 29857, 19985, 30166, 19902, 476, 3192, 273, 281, 476, 27844, 278, 2567, 16061, 10382, 16575, 15512, 29111, 19084, 282, 29339, 394, 511, 16575, 24556, 15403, 19084, 282, 3852, 374, 24341, 16575, 29111, 19084, 282, 3852, 374, 16708, 24341, 11027, 29111, 19084, 282, 21566, 395, 484, 16708, 413, 378, 365, 24556, 29111, 19084, 269, 476, 10170, 910, 15403, 29857, 268, 14832, 10382, 630, 22238, 2406, 513, 4999, 540, 1079, 21879, 525, 267, 32647, 269, 593, 910, 14832, 268, 2567, 31057, 478, 16708, 31149, 395, 485, 15403, 29857, 14832, 10382, 630, 22396, 269, 31057, 482, 16708, 10382, 24681, 14267, 19084, 267, 910, 395, 485, 268, 5148, 31057, 498, 395, 485, 15403, 29857, 14832, 10382, 269, 595, 325, 269, 593, 910, 29857, 14832, 268, 269, 476, 7761, 910, 413, 379, 495, 15184, 19985, 910, 15403, 15184, 6262, 325, 269, 910, 15403, 14832, 29857, 268, 2567, 31057, 482, 24556, 16575, 15403, 19084, 267, 910, 413, 379, 495, 15184, 268, 282, 14668, 413, 376, 364, 24556, 29111, 15184, 10382, 16575, 14267, 19084, 282, 14668, 413, 376, 368, 24556, 15403, 15184, 14267, 19084, 282, 29339, 31149, 16575, 15403, 15184, 14267, 15403, 282, 31057, 510, 16575, 29111, 15184, 15403, 14267, 19084, 282, 3852, 374, 31149, 16575, 15403, 15184, 14267, 19084, 269, 476, 10463, 910, 15403, 24681, 6262, 325, 269, 910, 15403, 395, 485, 19985, 30166, 19902, 476, 3192, 273, 281, 476, 26297, 9083, 2567, 3852, 374, 31149, 16575, 15403, 24681, 14267, 14832, 282, 3852, 374, 395, 491, 16708, 14832, 15403, 24681, 10382, 282, 18494, 394, 511, 263, 29111, 264, 24681, 16708, 15403, 24681, 10382, 282, 13179, 21227, 16708, 29111, 24681, 24341, 630, 331, 831, 18841, 379, 495, 5148, 3852, 377, 395, 492, 16708, 15403, 24681, 14267, 14832, 282, 21566, 395, 492, 17385, 15403, 24681, 15770, 19084, 282, 6543, 485, 14267, 15403, 14832, 15403, 24681, 268, 282, 6543, 485, 32703, 16575, 15403, 24681, 15770, 19084, 269, 476, 10619, 910, 413, 379, 495, 24681, 24681, 32703, 16575, 16575, 15403, 394, 378, 282, 3852, 355, 14267, 29111, 14832, 15403, 24681, 15770, 19084, 269, 476, 4037, 910, 15403, 16575, 19985, 910, 413, 379, 495, 16575, 10382, 413, 376, 364, 24556, 29111, 16575, 22886, 395, 486, 282, 3852, 374, 14267, 14832, 413, 379, 495, 16575, 392, 479, 3852, 371, 282, 13179, 394, 511, 17385, 11027, 15403, 16575, 14267, 14832, 282, 13179, 10382, 16708, 29111, 16575, 24341, 282, 13179, 21227, 17385, 16483, 413, 379, 495, 16575, 392, 479, 3852, 371, 282, 630, 17385, 264, 11027, 10382, 16483, 29111, 16575, 24341, 11196, 413, 379, 495, 16575, 268, 264, 815, 12631, 10382, 17385, 16483, 29111, 16575, 24341, 282, 21566, 16483, 16708, 32703, 15512, 413, 379, 495, 16575, 14267, 19084, 269, 512, 333, 3852, 352, 24681, 10382, 14832, 29857, 29111, 16575, 24341, 630, 290, 657, 1040, 476, 10602, 910, 15403, 16575, 16575, 268, 10382, 270, 14267, 413, 376, 482, 16708, 24556, 15403, 16575, 16575, 14267, 19084, 282, 31057, 483, 19031, 15403, 16575, 16575, 10382, 282, 31057, 482, 16708, 15403, 16575, 16575, 10382, 282, 31057, 482, 17385, 15403, 16575, 16575, 10382, 282, 18841, 379, 354, 32703, 15512, 15403, 16575, 16575, 14267, 19084, 269, 476, 6507, 910, 15403, 19031, 14832, 268, 10382, 270, 14267, 263, 293, 1248, 19902, 476, 3192, 273, 281, 476, 26727, 10170, 2567, 13179, 394, 511, 29857, 15403, 19031, 14832, 14267, 19084, 630, 10193, 910, 29111, 268, 5148, 13179, 394, 511, 16708, 15403, 19031, 14832, 10382, 282, 21566, 29111, 29857, 16708, 15403, 19031, 14832, 14267, 14832, 269, 476, 4281, 910, 15403, 14832, 268, 10382, 270, 14267, 413, 376, 482, 24681, 15403, 14832, 14267, 19084, 282, 31057, 478, 11027, 32703, 16575, 15403, 14832, 14267, 14832, 282, 630, 15512, 10382, 264, 15512, 31149, 24681, 15403, 14832, 14267, 14832, 282, 29339, 14267, 17385, 17385, 395, 491, 11027, 15403, 14832, 14267, 14832, 282, 3852, 374, 32703, 16483, 15403, 14832, 14267, 19084, 282, 18841, 377, 478, 394, 378, 29111, 14832, 10382, 269, 512, 333, 3852, 506, 395, 491, 16708, 15403, 14832, 10382, 630, 299, 655, 333, 657, 5148, 3852, 352, 29111, 24681, 15403, 14832, 14267, 19084, 630, 290, 5670, 3547, 1040, 476, 8064, 910, 413, 379, 495, 14832, 24179, 14267, 268, 264, 3852, 374, 395, 491, 19031, 15403, 14832, 14267, 14832, 282, 12631, 21227, 16483, 29111, 14832, 24341, 282, 18841, 379, 354, 24341, 16483, 29111, 14832, 24341, 282, 21566, 394, 511, 16575, 15403, 14832, 14267, 14832, 282, 26420, 14267, 394, 378, 413, 379, 500, 14832, 14267, 19084, 282, 26420, 14267, 16708, 29111, 14832, 24341, 269, 512, 333, 3852, 352, 10382, 16575, 10382, 19031, 413, 379, 495, 14832, 392, 479, 910, 269, 19916, 476, 4391, 476, 3199, 910, 15403, 14832, 29857, 6262, 325, 269, 910, 15403, 14832, 15184, 268, 543, 910, 15403, 29857, 19985, 910, 15403, 16483, 268, 2567, 3852, 374, 395, 491, 15512, 15403, 14832, 29857, 15403, 19084, 282, 31057, 482, 16575, 15403, 14832, 29857, 14267, 14832, 269, 512, 333, 3852, 504, 16708, 10382, 21227, 17385, 29111, 14832, 29857, 22886, 14832, 630, 337, 5148, 3852, 510, 395, 491, 16708, 15403, 14832, 29857, 14267, 19084, 630, 290, 7559, 1040, 476, 10037, 910, 15403, 14832, 15184, 24179, 14267, 268, 264, 630, 22396, 269, 910, 15403, 14832, 29857, 268, 2567, 14668, 413, 376, 368, 24556, 15403, 14832, 15184, 14267, 19084, 282, 31057, 478, 17385, 11027, 29111, 14832, 15184, 15403, 14267, 14832, 282, 18494, 10382, 15512, 395, 491, 16708, 15403, 14832, 15184, 14267, 19084, 282, 18494, 29111, 19031, 15403, 14832, 15184, 15770, 19084, 269, 512, 333, 3852, 504, 394, 362, 16708, 15403, 14832, 15184, 14267, 19084, 630, 292, 889, 4141, 320, 5148, 3852, 504, 32703, 16708, 15403, 14832, 15184, 14267, 19084, 630, 293, 1157, 476, 5002, 276, 281, 476, 10619, 1040, 476, 11025, 910, 15403, 394, 378, 24681, 14267, 16483, 29111, 394, 378, 15403, 19084, 282, 3852, 374, 21227, 14832, 29111, 394, 378, 15770, 15403, 19084, 282, 21566, 32703, 16708, 14832, 15403, 394, 378, 10382, 269, 476, 10695, 910, 413, 379, 495, 11027, 268, 14267, 339, 333, 3852, 499, 30307, 498, 16708, 413, 379, 495, 11027, 14267, 19084, 269, 476, 10019, 910, 15403, 17385, 268, 10382, 270, 14267, 413, 376, 482, 16708, 11027, 15403, 17385, 10382, 11196, 15770, 394, 370, 10382, 5148, 3852, 374, 395, 491, 16483, 15403, 17385, 14267, 19084, 269, 512, 333, 3852, 505, 31149, 16708, 15403, 17385, 10382, 282, 3852, 504, 15770, 29857, 16708, 15403, 17385, 32703, 19084, 282, 3852, 504, 24341, 395, 484, 15403, 17385, 32703, 19084, 11196, 413, 379, 495, 17385, 14267, 19084, 815, 910, 15403, 17385, 17385, 14267, 19084, 267, 674, 1157, 476, 5002, 276, 281, 476, 1839, 267, 476, 8618, 1040, 476, 5952, 910, 15403, 17385, 24681, 268, 14267, 413, 376, 478, 16575, 15184, 29111, 17385, 24681, 14267, 14832, 282, 31057, 368, 15512, 15403, 17385, 24681, 14267, 19084, 282, 13179, 10382, 16708, 29111, 17385, 24681, 14267, 19084, 282, 18841, 377, 495, 16708, 29111, 17385, 24681, 14267, 19084, 630, 663, 14726, 1040, 476, 10436, 910, 15403, 17385, 16483, 14267, 6262, 325, 269, 910, 17385, 16483, 268, 2567, 12631, 16575, 10382, 16483, 31149, 14832, 15403, 17385, 16483, 14267, 19084, 269, 476, 9262, 910, 15403, 16483, 268, 10382, 270, 14267, 6262, 325, 269, 910, 15403, 29857, 19985, 910, 15403, 15184, 19985, 30166, 19902, 476, 3192, 273, 281, 476, 14321, 2567, 16061, 31149, 16708, 15512, 15403, 16483, 14267, 19084, 282, 16061, 32703, 16575, 263, 15512, 264, 15403, 16483, 14267, 14832, 282, 12631, 32703, 16708, 395, 484, 15403, 16483, 14267, 14832, 269, 512, 333, 3852, 352, 395, 491, 15512, 16708, 15403, 16483, 10382, 630, 290, 516, 974, 1040, 476, 6434, 910, 15403, 395, 485, 6262, 325, 269, 910, 15403, 24681, 268, 2567, 31057, 482, 16708, 16708, 15403, 395, 485, 14267, 19084, 282, 31057, 482, 16708, 17385, 15403, 395, 485, 14267, 19084, 282, 3852, 374, 32703, 395, 486, 15403, 395, 485, 14267, 19084, 282, 26018, 31149, 16708, 413, 379, 495, 395, 485, 14267, 19084, 282, 21566, 395, 491, 16708, 15403, 395, 485, 14267, 19084, 269, 476, 8660, 910, 24681, 14832, 263, 22238, 2406, 513, 4999, 540, 910, 14832, 268, 609, 513, 18631, 27901, 282, 1294, 593, 910, 14832, 268, 2567, 31057, 482, 15512, 10382, 16708, 24681, 14832, 10382, 282, 24818, 14267, 16708, 395, 491, 24681, 14832, 15403, 14267, 14832, 282, 12631, 15403, 17385, 31149, 24681, 14832, 10382, 282, 26420, 15403, 29857, 31149, 24681, 14832, 24341, 269, 476, 3445, 910, 19031 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 26306, 689, 519, 24701, 15503, 454, 24058, 22456, 476, 1001, 271, 4033, 12411, 687, 10439, 22456, 476, 1220, 279, 454, 24058, 22456, 476, 1220, 276, 454, 271, 856, 540, 476, 272, 15951, 713, 5363, 15580, 713, 1888, 454, 763, 24701, 15503, 2636, 596, 547, 12314, 606, 2473, 20784, 307, 2511, 6656, 609, 606, 24701, 454, 323, 17805, 267, 1685, 519, 7004, 267, 543, 2070, 519, 3977, 269, 634, 4611, 454, 16059, 689, 519, 2473, 20784, 307, 7004, 568, 10268, 538, 513, 1007, 3561, 6885, 563, 763, 19243, 3959, 23403, 519, 32197, 585, 519, 3977, 269, 1403, 519, 19243, 454, 27393, 1399, 568, 10145, 267, 513, 32197, 568, 6383, 538, 707, 10151, 15682, 269, 634, 454, 12803, 10137, 568, 1759, 593, 519, 1535, 16435, 281, 16059, 3693, 538, 707, 2511, 6656, 543, 454, 4754, 581, 1547, 343, 6447, 267, 1547, 339, 868, 610, 1547, 6255, 332, 563, 2252, 519, 19243, 3959, 23403, 513, 32197, 609, 606, 1547, 6255, 332, 610, 1547, 6255, 6447, 10137, 2676, 1492, 2473, 20784, 307, 3977, 568, 12744, 539, 1210, 9786, 5769, 25817, 269, 2353, 824, 454, 12803, 24909, 616, 8118, 1210, 519, 9949, 9375, 6074, 676, 9786, 454, 24058, 22456, 269, 1280, 1383, 267, 952, 519, 3758, 10137, 568, 1547, 343, 6447, 267, 10439, 22456, 454, 4926, 519, 24701, 15503, 563, 2414, 14892, 606, 2473, 20784, 307, 7004, 689, 606, 24701, 3561, 454, 15411, 606, 24701, 3561, 538, 519, 24701, 15503, 563, 10112, 1539, 622, 606, 2473, 20784, 307, 2511, 6656, 609, 519, 24701, 3561, 563, 11754, 606, 1535, 6447, 3613, 5138, 18694, 4393, 6044, 547, 519, 24701, 3561, 269, 1280, 454, 9987, 267, 1039, 519, 1739, 1899, 2999, 286, 343, 6447, 3613, 5138, 18694, 1826, 8782, 3667, 24474, 16435, 7055, 327, 10915, 8782, 16344, 17575, 11859, 16435, 262, 286, 285, 547, 519, 3561, 7139, 690, 563, 11754, 519, 2473, 20784, 307, 2511, 6656, 1210, 519, 16544, 6885, 269, 769, 519, 3561, 454, 19187, 2906, 32001, 267, 4945, 519, 25873, 7735, 585, 519, 26505, 18694, 2361, 267, 2824, 454, 1492, 2473, 20784, 307, 2511, 6656, 267, 543, 4945, 7046, 563, 12812, 519, 8058, 2473, 20784, 19243, 7735, 593, 519, 24701, 15503, 1907, 8663, 563, 2467, 568, 1100, 8058, 2473, 20784, 19243, 538, 519, 24701, 1907, 7735, 563, 296, 946, 966, 306, 476, 1001, 271, 3318, 563, 4692, 18825, 2491, 1018, 594, 993, 7508, 1934, 7790, 0, 263, 19741, 623, 4382, 1938, 267, 5130, 476, 2190, 267, 476, 1001, 278, 264, 1323, 2079, 5342, 676, 3744, 693, 519, 2160, 540, 853, 269, 12448, 338, 538, 10430, 568, 10912, 883, 2243, 519, 8753, 6603, 538, 513, 1353, 5342, 676, 29505, 3114, 2754, 5204, 978, 31980, 267, 799, 8612, 602, 9932, 10987, 941, 711, 693, 1981, 689, 519, 4922, 1031, 683, 4577, 582, 32009, 5521, 8336, 555, 3554, 996, 2135, 600, 269, 634, 4161, 547, 519, 623, 3739, 1696, 620, 476, 1001, 274, 1353, 568, 1271, 1317, 1247, 1082, 6901, 723, 1044, 5340, 538, 519, 2978, 610, 10859, 2000, 629, 1604, 267, 713, 1353, 729, 513, 2361, 4603, 2919, 547, 1449, 3542, 13541, 4598, 896, 3339, 6694, 2175, 269, 634, 8753, 540, 971, 1483, 8996, 6901, 616, 26693, 811, 8185, 676, 22124, 950, 1818, 3106, 543, 946, 1999, 5209, 563, 1805, 269, 12448, 338, 685, 3744, 1445, 538, 593, 519, 623, 3739, 1696, 620, 3409, 602, 1317, 922, 1353, 1705, 711, 723, 1164, 2157, 540, 18643, 267, 602, 621, 1131, 723, 1044, 22801, 547, 1685, 6101, 8579, 2079, 269, 1358, 4431, 602, 713, 1131, 8197, 581, 519, 2013, 952, 623, 3739, 1696, 620, 1185, 5497, 593, 4466, 8579, 4644, 543, 11943, 602, 972, 729, 1100, 1198, 1759, 593, 1346, 4255, 269, 1717, 267, 5204, 978, 31980, 779, 3744, 3079, 3274, 1178, 335, 1117, 3328, 2418, 936, 942, 1759, 593, 741, 7403, 630, 1889, 5501, 906, 971, 607, 1297, 540, 10987, 538, 513, 554, 633, 267, 554, 633, 2597, 267, 1297, 540, 2156, 617, 267, 3092, 13776, 543, 3379, 891, 2418, 1063, 23561, 2389, 8972, 543, 1852, 630, 12061, 2389, 8972, 264, 10125, 269, 898, 729, 713, 6476, 267, 799, 623, 3739, 1696, 620, 9763, 607, 968, 13678, 1791, 892, 1063, 5701, 543, 1852, 10125, 267, 602, 729, 1031, 547, 3313, 602, 555, 3554, 996, 2135, 600, 729, 513, 1970, 1981, 547, 9932, 10987, 563, 763, 4589, 540, 519, 853, 269, 12448, 338, 685, 1353, 7682, 602, 5204, 978, 31980, 779, 2126, 540, 922, 1239, 568, 968, 2254, 1175, 22801, 538, 713, 2013, 855, 849, 616, 30849, 538, 6240, 267, 585, 952, 1239, 616, 16283, 585, 513, 6101, 2079, 630, 528, 1152, 1434, 2614, 547, 1683, 9193, 609, 2647, 6015, 11996, 1070, 1287, 789, 616, 3808, 547, 581, 16283, 607, 513, 4493, 585, 8757, 1022, 3280, 8753, 1848, 634, 853, 269, 12448, 338, 3173, 1118, 2312, 602, 623, 3739, 1696, 620, 1223, 723, 5340, 8579, 2079, 547, 3313, 519, 1379, 540, 519, 2360, 6592, 676, 1519, 6015, 11996, 538, 922, 13354, 4879, 269, 2991, 7900, 713, 2079, 2933, 267, 3173, 5462, 602, 519, 623, 3739, 1696, 620, 9193, 941, 865, 791, 13440, 1047, 602, 2370, 1223, 581, 6508, 689, 519, 1239, 269, 634, 3744, 7150, 538, 3932, 267, 968, 11693, 602, 519, 1239, 538, 713, 2013, 616, 7361, 796, 514, 845, 894, 609, 2463, 547, 519, 2126, 1198, 267, 1022, 8753, 6603, 689, 971, 13016, 4485, 666, 798, 2370, 811, 982, 2992, 519, 1991, 4978, 540, 1346, 3238, 3034, 8448, 4830, 3744, 723, 849, 22309, 519, 623, 3739, 1696, 620, 1353, 585, 922, 8097, 1374, 267, 1519, 513, 476, 1001, 276, 4062, 538, 7025, 7070, 2342, 267, 1071, 2246, 23482, 676, 513, 2319, 540, 3744, 1519, 12021, 11001, 6424, 717, 537, 28952, 267, 12854, 269, 634, 4589, 540, 713, 4062, 1265, 3390, 609, 513, 2039, 540, 2188, 538, 623, 3739, 1696, 620, 267, 1519, 519, 2110, 1974, 540, 4598, 585, 23561, 2389, 8972, 9932, 10987, 267, 519, 946, 540, 519, 23561, 693, 3928, 2539, 982, 5227, 6694, 2259, 267, 519, 946, 540, 1152, 835, 23561, 2864, 982, 513, 5010, 1587, 267, 543, 519, 5821, 547, 7001, 1271, 1239, 971, 607, 7670, 5793, 532, 9271, 563, 303, 3233, 569, 9112, 2090, 543, 25619, 610, 22801, 8753, 2322, 3621, 8699, 693, 1981, 585, 519, 6626, 3621, 2146, 269, 1280, 713, 2601, 267, 621, 3788, 2565, 602, 22124, 538, 1312, 2342, 543, 519, 772, 2529, 269, 2015, 1312, 519, 1239, 543, 31886, 540, 4830, 3744, 269, 634, 9103, 1275, 540, 519, 2257, 593, 555, 3554, 996, 2135, 600, 543, 683, 4577, 582, 27546, 538, 2489, 19267, 513, 7282, 4605, 585, 711, 1152, 9932, 10987, 855, 513, 2039, 540, 3552, 25199, 2429, 519, 1158, 269, 2755, 2342, 779, 2849, 1807, 1756, 593, 683, 4577, 582, 32009, 3498, 547, 15496, 7031, 3788, 538, 1747, 267, 543, 2657, 4516, 5063, 9307, 9993, 593, 519, 683, 4577, 582, 32009, 708, 573, 659, 331, 641, 5090, 547, 2149, 12748, 29068, 267, 16501, 5063, 9307, 602, 683, 4577, 582, 27546, 1459, 968, 7224, 1713, 4220, 892, 547, 9932, 10987, 267, 5103, 4466, 513, 2789, 8320, 1141, 10987, 941, 693, 1981, 540, 6757, 4598, 563, 2005, 3788, 909, 547, 7255, 7264, 547, 1491, 2962, 538, 3210, 547, 16501, 779, 14962, 531, 540, 519, 2257, 269, 1635, 3478, 3742, 538, 707, 2199, 2146, 267, 8165, 547, 15357, 645, 7417, 13363, 633, 4507, 267, 2199, 7264, 666, 1118, 2242, 602, 678, 21451, 909, 547, 519, 3084, 1377, 269, 1280, 811, 1344, 593, 2921, 2962, 547, 2149, 25199, 267, 1294, 15332, 623, 4382, 1938, 685, 645, 7417, 13363, 633, 2546, 563, 5472, 796, 3430, 30744, 7158, 543, 8369, 538, 713, 4062, 616, 1346, 540, 15332, 623, 4382, 1938, 269, 0, 16352, 513, 5694, 5995, 593, 513, 3232, 4493, 568, 9090, 711, 513, 1434, 1129, 607, 713, 1522, 1175, 581, 519, 4358, 540, 5694, 9178, 269, 2368, 1434, 5959, 19190, 899, 26056, 15173, 779, 3911, 850, 18669, 538, 6153, 20204, 267, 589, 313, 1491, 11348, 538, 18997, 2550, 593, 1114, 5959, 2042, 899, 5694, 9178, 563, 8923, 1491, 5413, 540, 971, 4025, 1299, 1451, 811, 827, 5959, 1416, 267, 855, 585, 1631, 267, 1577, 721, 2119, 1299, 1451, 513, 3787, 827, 5694, 9178, 1934, 563, 2414, 1054, 9178, 666, 1860, 519, 1739, 2694, 540, 707, 5959, 2497, 912, 27246, 540, 29392, 5463, 599, 454, 303, 5055, 4302, 568, 519, 1292, 15298, 540, 5694, 9178, 269, 898, 568, 513, 20202, 1299, 2312, 6219, 602, 3029, 593, 707, 4522, 267, 799, 3568, 4551, 602, 3049, 593, 1426, 1299, 14836, 602, 596, 3548, 269, 4706, 2589, 1331, 2300, 745, 857, 908, 1928, 602, 666, 7519, 707, 1272, 269, 589, 3978, 15799, 16005, 666, 2014, 513, 2603, 540, 2042, 267, 799, 707, 11290, 666, 6439, 1518, 609, 1697, 5694, 11808, 269, 6969, 5694, 11808, 568, 2944, 267, 596, 786, 991, 547, 917, 519, 1114, 3123, 540, 5694, 9178, 538, 1931, 547, 2057, 621, 563, 763, 3123, 1331, 912, 7093, 8619, 1903, 666, 2141, 581, 3144, 547, 2057, 1022, 27290, 3510, 269, 1717, 267, 952, 513, 1966, 814, 7018, 267, 513, 15164, 1299, 1942, 2500, 3070, 568, 2838, 269, 2755, 5694, 9178, 568, 513, 3978, 1966, 267, 519, 1434, 3377, 568, 602, 621, 666, 581, 6439, 1881, 609, 1697, 5694, 11808, 2409, 269, 9747, 267, 5077, 707, 11290, 547, 917, 811, 827, 713, 1184, 1299, 922, 1114, 5773, 269, 0, 263, 525, 335, 269, 540, 6777, 610, 3762, 264, 2142, 6410, 538, 1507, 2220, 26325, 13999, 676, 6727, 31830, 338, 540, 2842, 454, 326, 755, 338, 540, 6777, 1166, 584, 3072, 998, 519, 7450, 454, 263, 1993, 513, 1268, 264, 8844, 3533, 538, 513, 11112, 610, 989, 18469, 1259, 454, 1492, 3649, 3438, 1166, 584, 3072, 1063, 873, 454, 288, 1507, 2220, 26325, 2527, 540, 1945, 267, 17611, 269, 6777, 610, 3762, 267, 6410, 676, 6727, 31830, 338, 540, 2842, 454, 320, 1166, 25744, 540, 6777, 454, 288, 6727, 2110, 1974, 540, 862, 10056, 610, 10761, 454, 11004, 729, 513, 5618, 1166, 25744, 540, 2534, 538, 519, 10689, 454, 288, 1297, 540, 1919, 21945, 610, 8345, 1282, 519, 1482, 1974, 454, 320, 1166, 25744, 540, 9375, 10118, 20935, 547, 519, 7245, 454, 321, 755, 548, 281, 513, 4028, 3742, 862, 10056, 454, 332, 913, 538, 606, 989, 18469, 610, 11821, 6073, 454, 320, 1769, 5618, 6777, 6420, 543, 31830, 540, 2842, 630, 528, 1945, 23401, 602, 5148, 834, 515, 1185, 547, 2673, 519, 6885, 1996, 519, 1166, 584, 1845, 21968, 834, 11004, 729, 513, 1166, 25744, 540, 9269, 17207, 4840, 20813, 2224, 281, 2014, 547, 1745, 19849, 14536, 282, 834, 763, 3586, 3007, 540, 519, 1762, 812, 11821, 1200, 4840, 1607, 568, 513, 1592, 540, 14070, 3197, 945, 2408, 538, 519, 631, 9222, 3126, 540, 3381, 3756, 2919, 676, 715, 23734, 334, 267, 607, 1134, 607, 8095, 11325, 2923, 267, 971, 607, 2835, 267, 14676, 267, 543, 19347, 3126, 563, 763, 1739, 568, 513, 1592, 540, 14070, 6801, 4721, 267, 2267, 23924, 267, 12959, 4721, 267, 543, 824, 14361, 538, 519, 10060, 12668, 521, 15676, 563, 263, 14503, 584, 1845, 264, 16176, 568, 513, 1826, 540, 13247, 1369, 519, 3047, 781, 5790, 538, 519, 1106, 540, 26543, 1216, 4672, 267, 9967, 540, 513, 21318, 540, 6777, 4148, 1389, 602, 2887, 689, 12269, 269, 4595, 6777, 568, 7768, 540, 1507, 4672, 5536, 267, 621, 568, 513, 30704, 1570, 269, 4429, 288, 5618, 6777, 6420, 282, 589, 17643, 540, 7452, 267, 3762, 3092, 269, 4547, 593, 676, 513, 6727, 31830, 540, 2842, 282, 7102, 6727, 2534, 282, 513, 13489, 282, 589, 15165, 9967, 540, 2571, 4672, 8645, 801, 4765, 1507, 4773, 540, 4829, 267, 23739, 267, 3092, 282, 1677, 989, 10028, 267, 581, 32612, 518, 267, 771, 935, 32662, 282, 1677, 1847, 610, 2887, 538, 513, 1166, 25744, 454, 263, 14503, 584, 1845, 264, 8752, 6777, 9991, 585, 2110, 546, 15342, 269, 3143, 13250, 610, 1175, 513, 1769, 7452, 532, 568, 782, 602, 568, 4397, 563, 263, 14503, 584, 1845, 264, 1572, 513, 968, 19009, 856, 892, 610, 1025, 11170, 731, 538, 1022, 824, 4087, 267, 855, 538, 1715, 24900, 568, 2808, 1360, 1769, 6777, 2887, 269, 901, 1826, 540, 2680, 568, 513, 2556, 851, 540, 1715, 24900, 1272, 267, 607, 1510, 621, 267, 7264, 1831, 7088, 31398, 337, 1882, 267, 543, 2253, 547, 26390, 3729, 563, 263, 14503, 584, 1845, 264, 3955, 18283, 1836, 9991, 6777, 267, 3622, 2110, 24331, 269, 4469, 584, 1845, 616, 519, 4396, 6697, 540, 834, 305, 664, 8058, 619, 8487, 263, 14503, 584 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 768, 18692, 3546, 12106, 318, 9557, 25208, 267, 2433, 8079, 2608, 8953, 1341, 11046, 10983, 269, 6570, 454, 2018, 7814, 539, 318, 785, 1182, 815, 1592, 263, 9792, 27203, 318, 743, 657, 652, 318, 31371, 4011, 267, 562, 318, 31371, 4011, 4917, 2018, 7814, 539, 318, 785, 1182, 269, 2169, 754, 263, 9792, 27203, 318, 743, 657, 652, 318, 31371, 4011, 11723, 2018, 585, 795, 538, 7814, 539, 318, 785, 1182, 912, 3546, 11046, 19553, 815, 8444, 27776, 263, 31371, 4011, 318, 785, 1182, 14728, 8079, 2639, 3546, 678, 815, 642, 323, 342, 318, 2784, 4512, 314, 520, 558, 19553, 8542, 3784, 316, 1341, 16785, 454, 3546, 886, 815, 11046, 19553, 269, 6570, 910, 1449, 318, 4812, 454, 3546, 952, 5286, 31715, 5560, 858, 267, 886, 264, 2999, 678, 2608, 678, 912, 7386, 795, 318, 743, 657, 652, 318, 31371, 4011, 815, 795, 454, 7386, 568, 318, 17739, 1043, 815, 8771, 454, 7386, 2736, 454, 2018, 952, 568, 318, 17739, 1043, 912, 3546, 562, 318, 17739, 1043, 318, 4812, 6834, 476, 272, 454, 3546, 2627, 6910, 6025, 652, 318, 4812, 2020, 1038, 1858, 815, 1526, 2608, 562, 318, 17739, 1043, 318, 4812, 2608, 8953, 2608, 8953, 454, 1038, 952, 1858, 3436, 476, 271, 912, 2018, 8444, 5157, 4940, 32002, 815, 11090, 454, 1038, 2127, 6910, 263, 19327, 994, 825, 2132, 2127, 267, 2627, 454, 0, 5814, 4351, 7531, 1012, 16651, 815, 13634, 1012, 262, 27426, 9166, 476, 1911, 2676, 1012, 262, 3430, 871, 9166, 476, 1911, 2676, 1012, 262, 3698, 1619, 9166, 476, 1911, 454, 1012, 8679, 1012, 454, 1012, 523, 5519, 272, 815, 13634, 1012, 262, 27426, 9166, 476, 1911, 2676, 1012, 262, 3430, 871, 9166, 476, 1911, 2676, 1012, 262, 3698, 1619, 9166, 476, 1911, 2676, 1012, 8679, 1012, 454, 1012, 454, 1012, 692, 3698, 1205, 318, 14403, 263, 16651, 2187, 825, 6221, 8217, 815, 22373, 300, 3918, 2580, 834, 5575, 22707, 14173, 2580, 834, 300, 996, 23402, 4714, 1790, 871, 257, 6540, 825, 1820, 2891, 2791, 1265, 513, 14307, 6221, 8217, 314, 12690, 27110, 263, 271, 267, 273, 13580, 2676, 825, 834, 20365, 1072, 2799, 676, 14307, 630, 11274, 263, 16651, 9131, 27426, 11172, 910, 476, 1911, 24270, 834, 27426, 15419, 825, 2132, 6345, 9131, 27426, 11172, 6834, 2612, 263, 16651, 9131, 27426, 11172, 910, 476, 1911, 2020, 3698, 4323, 263, 31463, 9426, 2187, 825, 28219, 5091, 600, 720, 815, 4351, 27110, 263, 279, 267, 3953, 994, 825, 18545, 9131, 27426, 11172, 20699, 28219, 5091, 600, 720, 454, 1012, 825, 952, 18545, 9131, 27426, 11172, 10922, 476, 271, 912, 1012, 1038, 18545, 9131, 27426, 11172, 815, 476, 271, 454, 1012, 1038, 2132, 18545, 454, 825, 12361, 2745, 263, 31463, 9426, 9131, 27426, 262, 7481, 1012, 825, 3116, 912, 825, 2132, 18545, 692, 3698, 4339, 263, 641, 17763, 272, 267, 1727, 334, 273, 2187, 825, 1247, 630, 641, 17763, 272, 9131, 27426, 11172, 3436, 476, 271, 264, 543, 630, 641, 17763, 273, 9131, 27426, 11172, 3436, 476, 271, 264, 2652, 6936, 912, 1038, 4323, 263, 641, 17763, 273, 994, 1038, 952, 1727, 334, 273, 9131, 27426, 11172, 10922, 476, 271, 912, 2018, 1820, 2891, 641, 17763, 272, 568, 16771, 5602, 1038, 3116, 912, 2018, 4323, 263, 641, 17763, 272, 994, 1038, 952, 1727, 334, 272, 9131, 27426, 11172, 10922, 476, 271, 912, 2018, 1820, 2891, 641, 17763, 273, 568, 16771, 15419, 1012, 1038, 952, 1727, 334, 272, 9131, 27426, 11172, 3436, 476, 271, 912, 1012, 2018, 4323, 263, 641, 17763, 273, 994, 1012, 1038, 3116, 912, 1012, 2018, 1780, 454, 1012, 825, 952, 1727, 334, 272, 9131, 27426, 11172, 10922, 476, 271, 912, 2971, 1038, 952, 1727, 334, 272, 9131, 27426, 11172, 10922, 476, 271, 912, 2971, 2018, 1727, 334, 272, 9131, 27426, 11172, 815, 476, 274, 454, 1012, 1038, 2132, 1820, 2891, 641, 17763, 273, 568, 16771, 5602, 1012, 825, 8640, 1727, 334, 273, 9131, 27426, 11172, 10922, 476, 271, 912, 2971, 1038, 952, 1727, 334, 273, 9131, 27426, 11172, 10922, 476, 271, 912, 2971, 2018, 1727, 334, 273, 9131, 27426, 11172, 815, 476, 274, 454, 1012, 1038, 2132, 1820, 2891, 641, 17763, 272, 568, 16771, 5602, 1012, 825, 3116, 912, 1012, 1038, 1820, 2891, 31138, 4682, 5045, 5602, 8931, 3698, 1292, 3890, 1384, 825, 6345, 815, 13634, 262, 27426, 9166, 476, 3199, 2676, 262, 3430, 871, 9166, 476, 1911, 2676, 9364, 1030, 1619, 9166, 476, 1911, 454, 10926, 825, 10546, 272, 815, 13634, 262, 27426, 9166, 476, 1911, 2676, 262, 3430, 871, 9166, 476, 1911, 2676, 9364, 1030, 1619, 9166, 476, 1911, 2676, 10926, 1012, 825, 4339, 263, 16651, 267, 10546, 272, 994, 825, 1205, 318, 14403, 263, 16651, 994, 825, 1820, 3488, 16651, 272, 1727, 334, 272, 24605, 281, 22207, 6345, 9131, 27426, 262, 7481, 825, 1820, 3488, 523, 5519, 272, 476, 1727, 334, 273, 24605, 281, 22207, 10546, 272, 9131, 27426, 11172, 2020, 8931, 1012, 825, 4323, 263, 523, 5519, 272, 994, 1012, 825, 1820, 263, 523, 5519, 272, 9131, 27426, 11172, 2020, 10852, 4590, 0, 5228, 6449, 325, 1956, 1029, 1104, 14391, 725, 454, 5228, 705, 322, 1104, 13235, 1948, 629, 5724, 3490, 1362, 630, 1457, 1516, 689, 713, 2164, 538, 606, 7493, 1362, 994, 5228, 705, 322, 1104, 7493, 24709, 692, 18851, 763, 11120, 1228, 4806, 568, 513, 1362, 799, 25998, 609, 782, 519, 834, 680, 17741, 257, 540, 707, 15796, 2676, 2280, 1154, 707, 7218, 630, 1278, 4773, 540, 3009, 264, 2170, 609, 519, 1950, 851, 998, 606, 4443, 547, 946, 5420, 563, 263, 8196, 995, 950, 707, 15796, 568, 1360, 1232, 537, 9482, 1916, 9230, 2691, 1739, 519, 834, 28410, 1663, 541, 5539, 257, 6240, 267, 596, 1522, 1439, 909, 609, 513, 2603, 540, 5049, 26895, 20701, 5035, 17692, 659, 1228, 263, 27398, 2187, 825, 1219, 6449, 8181, 9191, 1345, 2187, 1038, 5727, 763, 11120, 1228, 1058, 2901, 1711, 519, 3615, 621, 2115, 610, 581, 3177, 609, 873, 12163, 1038, 1780, 692, 5035, 22493, 293, 659, 1228, 263, 9281, 659, 1228, 2187, 825, 1219, 6449, 8181, 9191, 1345, 267, 1073, 329, 19963, 22561, 267, 1073, 329, 10734, 22561, 267, 1073, 329, 6831, 22561, 2187, 1038, 1582, 269, 28128, 19963, 815, 1073, 329, 19963, 3097, 1038, 1582, 269, 28128, 10734, 815, 1073, 329, 10734, 3097, 1038, 1582, 269, 28128, 6831, 815, 1073, 329, 6831, 3097, 1038, 952, 1073, 329, 19963, 568, 7183, 912, 2018, 1582, 269, 28128, 19963, 815, 22493, 288, 4590, 2018, 1582, 269, 28128, 10734, 815, 22493, 289, 4590, 2018, 1582, 269, 28128, 6831, 815, 22493, 290, 4590, 2018, 1582, 269, 28128, 19963, 269, 28128, 10734, 815, 1582, 269, 28128, 10734, 454, 2018, 1582, 269, 28128, 10734, 269, 28128, 6831, 815, 1582, 269, 28128, 6831, 454, 2018, 1582, 269, 28128, 6831, 269, 28128, 10734, 815, 1582, 269, 28128, 10734, 692, 825, 1219, 798, 318, 8421, 545, 4311, 267, 7662, 2187, 1038, 1582, 269, 28128, 6831, 269, 4777, 318, 8421, 545, 263, 7528, 652, 994, 1038, 1582, 269, 28128, 10734, 269, 4777, 318, 8421, 545, 4590, 1038, 1582, 269, 28128, 19963, 269, 4777, 318, 8421, 545, 10797, 5035, 29722, 263, 27398, 2187, 825, 5727, 12218, 589, 1281, 711, 1118, 2631, 1510, 513, 4704, 547, 606, 1843, 645, 12163, 825, 1219, 6449, 8181, 9191, 1345, 267, 1073, 329, 10734, 2187, 1038, 1780, 692, 5035, 22493, 288, 263, 8656, 2187, 825, 1219, 6449, 8181, 9191, 1345, 267, 1073, 329, 10734, 22561, 2187, 1038, 1582, 269, 28128, 10734, 815, 1073, 329, 10734, 454, 1038, 1582, 11859, 815, 476, 271, 692, 825, 1219, 798, 318, 8421, 545, 4311, 2187, 1038, 1582, 11859, 815, 1582, 269, 28128, 10734, 11859, 1341, 476, 272, 454, 1038, 1820, 6600, 257, 12441, 7954, 538, 589, 267, 1759, 1055, 645, 269, 513, 11859, 281, 346, 1345, 11859, 348, 15419, 5035, 25153, 263, 27398, 2187, 825, 5727, 12218, 645, 1281, 711, 1118, 2631, 1510, 513, 4704, 547, 606, 1843, 595, 12163, 825, 1219, 6449, 8181, 9191, 1345, 267, 1073, 329, 6831, 2187, 1038, 1780, 692, 5035, 22493, 289, 263, 29368, 2187, 825, 1219, 6449, 8181, 9191, 1345, 267, 1073, 329, 6831, 22561, 2187, 1038, 1582, 269, 28128, 6831, 815, 1073, 329, 6831, 454, 1038, 1582, 11859, 815, 476, 271, 22562, 825, 1219, 798, 318, 8421, 545, 4311, 2187, 1038, 1582, 11859, 6834, 476, 272, 454, 1038, 1820, 6600, 257, 12441, 7954, 538, 645, 267, 799, 3576, 883, 2272, 595, 281, 536, 11859, 281, 346, 1345, 11859, 348, 15419, 5035, 15096, 263, 27398, 2187, 825, 5727, 12218, 595, 1281, 711, 1118, 2631, 1510, 513, 4704, 1394, 547, 519, 2404, 1843, 645, 12163, 825, 1219, 6449, 8181, 9191, 1345, 267, 1073, 329, 10734, 2187, 1038, 1582, 269, 28128, 10734, 815, 1073, 329, 10734, 692, 5035, 22493, 290, 263, 2975, 2187, 825, 1219, 6449, 8181, 9191, 1345, 267, 1073, 329, 10734, 22561, 2187, 1038, 1582, 269, 28128, 10734, 815, 1073, 329, 10734, 454, 1038, 1582, 11859, 815, 476, 271, 22562, 825, 1219, 798, 318, 8421, 545, 4311, 267, 7662, 2187, 1038, 1582, 11859, 6834, 476, 272, 454, 1038, 1820, 6600, 257, 12441, 7954, 538, 595, 267, 585, 7817, 7662, 281, 2715, 7528, 652, 20467, 524, 11859, 281, 2715, 1345, 11859, 348, 5602, 1038, 1582, 269, 28128, 10734, 269, 4777, 318, 8421, 545, 10797, 3698, 1292, 10031, 825, 5727, 1103, 713, 1383, 267, 519, 1292, 1599, 6411, 607, 513, 7817, 27969, 454, 825, 1795, 1228, 815, 22493, 293, 659, 1228, 10797, 825, 1795, 1228, 269, 4777, 318, 8421, 545, 2891, 31435, 15419, 604, 6449, 4067, 1029, 2652, 21507, 10852, 23922, 825, 1292, 3890 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 585, 18008, 1004, 269, 1310, 5230, 8165, 267, 865, 341, 2884, 4229, 683, 1563, 740, 6504, 5734, 2401, 685, 521, 4971, 536, 6064, 518, 538, 3844, 10874, 4802, 269, 513, 21704, 949, 581, 21473, 9809, 9820, 12913, 25678, 610, 621, 949, 581, 519, 1267, 540, 14710, 538, 6370, 269, 13193, 326, 11128, 269, 519, 2165, 568, 1759, 593, 519, 2942, 8305, 9189, 540, 519, 18008, 602, 789, 21704, 3533, 950, 5185, 609, 10617, 1256, 952, 267, 2687, 547, 21099, 14787, 562, 658, 331, 535, 31867, 517, 267, 535, 8896, 568, 519, 1034, 3811, 4108, 1379, 538, 24067, 1686, 538, 2474, 540, 1297, 540, 10617, 269, 513, 25071, 21704, 11783, 3655, 790, 620, 322, 944, 632, 2357, 557, 710, 269, 21704, 267, 538, 4108, 2474, 267, 568, 519, 882, 22055, 7321, 540, 1852, 936, 8513, 267, 8396, 1218, 267, 6830, 5874, 267, 9635, 610, 6186, 3512, 547, 1776, 1379, 563, 20813, 12787, 269, 21704, 679, 21473, 9809, 9820, 602, 1482, 1554, 267, 865, 341, 2884, 4229, 5532, 909, 609, 741, 7819, 13413, 22215, 689, 519, 7178, 538, 3844, 27437, 630, 512, 3073, 879, 1040, 16138, 24480, 2085, 269, 536, 537, 324, 5060, 269, 865, 341, 2884, 4229, 1958, 597, 743, 539, 10874, 4802, 267, 519, 24141, 3854, 593, 3284, 269, 24141, 11439, 4229, 21704, 14955, 3431, 538, 519, 7178, 269, 1990, 8388, 714, 327, 30795, 807, 267, 20410, 9627, 630, 3284, 264, 2443, 19421, 811, 21127, 941, 11324, 4240, 535, 27518, 689, 519, 25310, 896, 519, 14850, 773, 3022, 5374, 1984, 1141, 20410, 1778, 1014, 25881, 538, 544, 926, 1575, 565, 723, 1044, 1818, 741, 2063, 1796, 547, 269, 513, 19988, 1533, 949, 21704, 1739, 14710, 538, 513, 2112, 267, 2356, 676, 19142, 513, 4708, 14097, 610, 1698, 527, 1637, 6876, 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 ]
[ 1511, 5786, 5223, 585, 513, 10553, 7852, 563, 8931, 825, 2422, 713, 4971, 1360, 5402, 269, 634, 10553, 7852, 786, 723, 922, 3432, 543, 454, 825, 10231, 538, 519, 1482, 5223, 607, 519, 2990, 563, 825, 4746, 267, 2327, 602, 519, 5223, 1031, 585, 519, 10553, 7852, 1281, 711, 2014, 454, 825, 24492, 540, 713, 7852, 6724, 630, 14588, 539, 267, 10231, 1070, 2523, 609, 454, 825, 12753, 3152, 982, 476, 272, 269, 3097, 825, 8173, 825, 1582, 4732, 754, 3488, 16165, 3299, 10591, 318, 7806, 1470, 994, 825, 952, 630, 613, 541, 318, 7806, 1470, 2652, 1412, 286, 262, 2187, 8587, 10591, 318, 7806, 1470, 815, 1582, 269, 19055, 518, 18667, 4590, 8587, 1820, 10591, 318, 7806, 1470, 266, 1345, 26509, 1080, 4590, 825, 2132, 10581, 263, 613, 541, 318, 7806, 1470, 994, 22322, 476, 1219, 4559, 4311, 267, 4559, 815, 1412, 286, 262, 2187, 825, 8173, 825, 30498, 519, 3942, 12761, 4559, 689, 2016, 8870, 563, 825, 1403, 1100, 4661, 568, 2016, 267, 1699, 1770, 4259, 568, 4080, 563, 8931, 825, 25792, 4559, 912, 825, 476, 271, 4534, 7402, 18344, 12523, 1363, 476, 277, 4534, 2890, 2987, 2583, 454, 825, 476, 272, 4534, 16359, 3268, 2018, 476, 278, 4534, 5232, 454, 825, 476, 273, 4534, 28935, 2018, 476, 279, 4534, 13506, 454, 825, 476, 274, 4534, 30562, 4394, 2018, 476, 280, 4534, 32494, 454, 825, 476, 275, 4534, 6279, 3546, 476, 1015, 4534, 1984, 328, 2784, 1014, 454, 825, 476, 276, 4534, 2113, 338, 630, 17524, 328, 2987, 2583, 264, 567, 476, 1556, 4534, 8020, 2928, 6598, 454, 825, 8173, 825, 1582, 4732, 754, 3488, 17928, 3299, 4559, 994, 825, 952, 630, 28493, 2652, 1412, 286, 262, 2187, 8587, 3210, 815, 1582, 269, 19055, 518, 18667, 4590, 8587, 4559, 815, 18358, 16780, 18344, 28029, 338, 3299, 1412, 332, 19318, 9912, 338, 3299, 1412, 7825, 3299, 579, 262, 315, 340, 6734, 6195, 332, 3299, 1412, 514, 3299, 1412, 332, 559, 22779, 25639, 579, 262, 315, 340, 6734, 6195, 514, 3299, 579, 262, 315, 340, 876, 289, 271, 3299, 1412, 14079, 3299, 1412, 2784, 3299, 1412, 332, 2784, 3299, 579, 262, 315, 340, 6734, 6195, 2784, 23300, 8587, 2132, 4559, 27776, 263, 24978, 22708, 11434, 454, 476, 1219, 10231, 4311, 267, 10231, 815, 1412, 286, 262, 2187, 825, 8173, 825, 30498, 519, 3942, 10231, 563, 825, 8173, 825, 1582, 4732, 754, 3488, 3722, 3299, 10231, 994, 825, 952, 630, 659, 5120, 566, 2652, 1412, 286, 262, 2187, 8587, 10231, 815, 1582, 269, 19055, 518, 18667, 4590, 8587, 1820, 10231, 266, 1345, 26509, 1080, 3890, 22065, 270, 338, 317, 273, 7055, 825, 2132, 10581, 263, 659, 5120, 566, 994, 8931, 476, 1219, 552, 1805, 641, 10907, 5120, 566, 4311, 267, 10231, 815, 1412, 286, 262, 2187, 825, 8173, 825, 30498, 519, 3942, 6595, 3247, 10231, 563, 825, 8173, 825, 1582, 4732, 754, 3488, 20067, 3299, 10231, 994, 825, 952, 630, 659, 5120, 566, 2652, 1412, 286, 262, 2187, 8587, 10231, 815, 1582, 269, 19055, 518, 18667, 4590, 8587, 1820, 10231, 266, 1345, 26509, 1080, 3890, 22065, 270, 338, 317, 273, 7055, 825, 2132, 10581, 263, 659, 5120, 566, 994, 8931, 476, 1219, 632, 5120, 566, 4311, 267, 632, 5120, 566, 815, 1412, 286, 262, 2187, 825, 8173, 825, 30498, 751, 3942, 632, 5120, 566, 563, 825, 8173, 825, 1582, 4732, 754, 3488, 8980, 3299, 632, 5120, 566, 994, 825, 952, 630, 1372, 5120, 566, 2652, 1412, 286, 262, 2187, 8587, 632, 5120, 566, 815, 1582, 269, 19055, 518, 18667, 4590, 8587, 1820, 632, 5120, 566, 266, 1345, 26509, 1080, 3890, 22065, 270, 338, 317, 273, 7055, 825, 2132, 10581, 263, 1372, 5120, 566, 2020, 476, 1219, 10231, 21918, 527, 4311, 267, 10231, 815, 1412, 286, 262, 2187, 825, 8173, 825, 30498, 519, 5021, 4847, 3942, 10231, 270, 1372, 5120, 566, 563, 8931, 825, 8609, 786, 5470, 856, 952, 713, 3970, 568, 25295, 563, 825, 8173, 825, 1582, 4732, 754, 3488, 288, 308, 3299, 10231, 994, 825, 952, 630, 659, 5120, 566, 2652, 1412, 286, 262, 2187, 8587, 10231, 815, 1582, 269, 19055, 518, 18667, 4590, 8587, 1820, 10231, 266, 1345, 26509, 1080, 3890, 22065, 270, 338, 317, 273, 7055, 825, 2132, 10581, 263, 659, 5120, 566, 994, 8931, 476, 1219, 1394, 31988, 15253, 18730, 4311, 267, 13180, 815, 1412, 286, 262, 2187, 825, 8173, 825, 5590, 610, 1867, 519, 1394, 31988, 13180, 538, 1699, 4559, 563, 8931, 825, 26228, 13180, 568, 1226, 633, 331, 550, 540, 476, 1911, 876, 1958, 18344, 12523, 563, 825, 8173, 825, 1582, 4732, 754, 3488, 10621, 3299, 13180, 994, 825, 952, 630, 4818, 18730, 2652, 1412, 286, 262, 2187, 8587, 13180, 815, 1582, 269, 19055, 518, 18667, 4590, 8587, 1820, 13180, 266, 1345, 26509, 1080, 4590, 825, 2132, 10581, 263, 4818, 18730, 994, 22322, 476, 1219, 1753, 15430, 564, 4311, 267, 1753, 318, 6570, 815, 1412, 286, 262, 2187, 825, 8173, 825, 30498, 519, 6207, 2990, 607, 8282, 547, 519, 1753, 2990, 563, 825, 8173, 825, 1582, 4732, 754, 3488, 17239, 3299, 1753, 318, 6570, 994, 825, 952, 630, 24610, 318, 6570, 2652, 1412, 286, 262, 2187, 8587, 1753, 318, 6570, 815, 1582, 269, 19055, 518, 18667, 4590, 8587, 1820, 1753, 318, 6570, 266, 1345, 26509, 1080, 4590, 825, 2132, 10581, 22607, 727, 318, 6570, 994, 22322, 476, 1219, 6991, 4311, 267, 6991, 815, 1412, 286, 262, 2187, 825, 8173, 825, 30498, 519, 3942, 6991, 563, 825, 8173, 825, 1582, 4732, 754, 3488, 22849, 3299, 6991, 994, 825, 952, 630, 767, 6290, 2652, 1412, 286, 262, 2187, 8587, 6991, 815, 1582, 269, 19055, 518, 18667, 4590, 8587, 1820, 6991, 266, 1345, 26509, 1080, 3890, 22065, 270, 338, 7055, 825, 2132, 10581, 263, 767, 6290, 994, 22322, 476, 1219, 6991, 21918, 527, 4311, 267, 6991, 815, 1412, 286, 262, 2187, 825, 8173, 825, 30498, 519, 5021, 4847, 3942, 6991, 563, 8931, 825, 8609, 786, 5470, 856, 952, 713, 3970, 568, 25295, 563, 825, 8173, 825, 1582, 4732, 754, 3488, 309, 308, 3299, 6991, 994, 825, 952, 630, 767, 6290, 2652, 1412, 286, 262, 2187, 8587, 6991, 815, 1582, 269, 19055, 518, 18667, 4590, 8587, 1820, 6991, 267, 1582, 26509, 1080, 3890, 22065, 270, 338, 7055, 825, 2132, 10581, 263, 767, 6290, 994, 22322, 476, 1219, 7227, 29128, 303, 3789, 263, 6570, 2187, 825, 8173, 825, 623, 1021, 661, 4916, 4971, 11056, 2394, 3942, 568, 693, 2990, 563, 8931, 825, 901, 1281, 711, 23249, 11056, 540, 9226, 3009, 2336, 825, 8173, 825, 1582, 4732, 754, 3488, 310, 303, 3299, 2990, 994, 11434, 454, 476, 1219, 7227, 29128, 1805, 641, 6244, 263, 5503, 284, 5257, 2187, 825, 8173, 825, 623, 1021, 661, 4916, 4971, 11056, 942, 1496, 916, 316, 1310, 3942, 568, 11074, 563, 8931, 825, 901, 1281, 711, 23249, 11056, 540, 9226, 3009, 2336, 825, 8173, 825, 1582, 4732, 754, 3488, 16703, 3299, 942, 2020, 11434, 0, 15893, 476, 815, 476, 272, 454, 6112, 1297, 10922, 476, 1015, 912, 825, 1820, 28840, 994, 825, 1297, 815, 1297, 1341, 272, 454, 513, 815, 22373, 3316, 3570, 2580, 834, 20625, 2580, 834, 332, 2222, 7809, 257, 9948, 3097, 585, 3693, 538, 513, 912, 672, 1820, 16216, 2211, 994, 672, 1820, 16216, 2211, 994, 8587, 0, 5035, 8745, 1384, 825, 1219, 9041, 8181, 318, 263, 1345, 267, 14140, 267, 1647, 267, 2063, 2187, 11434, 1582, 8807, 1009, 815, 1101, 454, 11434, 1582, 6230, 1497, 815, 1647, 454, 11434, 1582, 16096, 815, 2063, 692, 825, 1219, 9041, 1598, 318, 263, 1345, 2187, 11434, 2132, 1582, 8807, 1009, 1341, 1412, 1412, 1341, 1582, 6230, 1497, 1341, 1412, 1412, 1341, 1582, 16096, 692, 320, 11243, 815, 8745, 3488, 4424, 10807, 3097, 2745, 263, 11243, 2020, 0, 12803, 815, 1930, 3488, 326, 10232, 17902, 5073, 326, 10232, 815, 3758, 18667, 1467, 4590, 2745, 14116, 10232, 994, 1721, 1775, 538, 2039, 12759, 14116, 10232, 15892, 825, 9344, 5157, 316, 815, 9344, 5157, 4940, 337, 29328, 4590, 2745, 14116, 10232, 264, 0, 5814, 19523, 454, 5814, 15259, 454, 258, 1820, 3488, 10429, 486, 27447, 24662, 421, 506, 478, 28884, 7511, 418, 505, 379, 29004, 351, 24757, 10951, 361, 5073, 258, 1820, 3488, 12571, 492, 27447, 24662, 418, 505, 379, 28786, 12571, 492, 7511, 24757, 10951, 361, 5073, 258, 1820, 3488, 28032, 489, 417, 28187, 13127, 490, 501, 11590, 361, 17276, 372, 358, 26266, 508, 13127, 490, 501, 11590, 361, 16533, 365, 25263, 504, 420, 351, 360, 418, 493, 494, 29004, 351, 29873, 25060, 501, 11590, 361, 5073, 5894, 815, 19523, 27769, 341, 476, 1948, 17276, 492, 354, 418, 498, 370, 14035, 500, 421, 481, 357, 7511, 27447, 24662, 9463, 502, 29873, 22047, 28578, 23989, 454, 2745, 263, 5894, 994, 1245, 23919, 815, 561, 529, 314, 272, 2639, 2908, 23919, 815, 561, 529, 314, 273, 2639, 12803, 318, 1245, 815, 561, 529, 314, 274, 2639, 12248, 815, 476, 271, 454, 12803, 318, 2908, 815, 1412, 272, 7055, 325, 815, 1930, 31526, 318, 1245, 267, 1412, 337, 3299, 16780, 5317, 8782, 583, 325, 268, 279, 5073, 325, 273, 815, 1930, 263, 3758, 318, 2908, 267, 1412, 342, 3299, 16780, 5317, 8782, 583, 325, 268, 279, 5073, 1721, 1899, 538, 535, 281, 476, 1948, 28859, 479, 491, 31308, 484, 24757, 10524, 370, 454, 14851, 2025, 23919, 538, 1899, 912, 453, 453, 1467, 815, 1899, 18622, 2897, 263, 1245, 23919, 267, 1007, 23919, 994, 453, 453, 12248, 6834, 476, 272, 454, 453, 325, 273, 22182, 263, 1467, 994, 325, 25379, 4590, 325, 273, 25379, 4590, 2745, 6262, 870, 994, 657, 18622, 2897, 31526, 318, 2908, 267, 3758, 318, 1245, 2020, 19638, 0, 258, 29635, 352, 483, 421, 354, 364, 417, 503, 357, 15159, 28098, 16583, 30936, 7511, 13601, 26175, 491, 20693, 509, 420, 25693, 19867, 358, 31271, 499, 8147, 454, 258, 476, 13601, 17276, 375, 350, 420, 370, 367, 21251, 32517, 362, 418, 498, 373, 420, 364, 481, 17958, 25913, 19764, 493, 454, 258, 476, 11590, 490, 17276, 375, 350, 420, 370, 367, 21251, 32517, 362, 418, 498, 373, 31308, 509, 16583, 30936, 19638, 19638, 258, 17276, 363, 498, 417, 28187, 22047, 4970, 375, 421, 350, 369, 16583, 30936, 16043, 495, 27064, 364, 21928, 28884, 13161, 364, 417, 351, 508, 421, 359, 490, 13644, 479, 454, 258, 1219, 12109, 3899, 6600, 15635, 2187, 258, 476, 453, 12528, 815, 3403, 3488, 13644, 371, 27447, 24662, 17958, 16043, 371, 12571, 491, 281, 5073, 258, 476, 453, 335, 23424, 476, 815, 3403, 3488, 13644, 371, 27447, 24662, 21382, 484, 419, 510, 479, 281, 5073, 258, 476, 14851, 3593, 2652, 1412, 3960, 336, 262, 543, 533, 23424, 2652, 1412, 11277, 12466, 258, 476, 453, 453, 4958, 815, 30775, 454, 258, 476, 16596, 1427, 454, 16482, 258, 1948, 7711, 342, 571, 3899, 1948, 4994, 815, 12109, 3899, 263, 8161, 994, 258, 1219, 4994, 10031, 258, 476, 13537, 3488, 418, 361, 351, 13213, 492, 13213, 505, 24662, 4970, 375, 421, 350, 369, 262, 9239, 258, 29635, 364, 481, 17958, 25913, 19764, 493, 454, 258, 4994, 10797, 258, 476, 32517, 362, 418, 498, 373, 420, 364, 481, 17958, 25913, 19764, 493, 454, 258, 737, 330, 815, 12109, 3899, 263, 8161, 994, 258, 737, 330, 10797, 258, 29635, 352, 483, 421, 354, 364, 417, 503, 357, 420, 352, 483, 421, 354, 364, 12571, 492, 417, 479, 371, 418, 351, 479, 29004, 351, 418, 509, 365, 454, 258, 4994, 10797, 258, 476, 24801, 454, 258, 13127, 485, 30936, 20069, 13213, 498, 18713, 508, 29219, 20069, 9463, 480, 12255, 692, 258, 1219, 9018, 6600, 15635, 2187, 258, 476, 22592, 12109, 3899, 28949, 16911, 267, 1262, 29220, 16911, 2187, 258, 476, 453, 453, 12528, 815, 3403, 3488, 13644, 371, 27447, 24662, 17958, 16043, 371, 12571, 491, 5073, 258, 476, 453, 453, 335, 23424, 815, 3403, 3488, 13644, 371, 27447, 24662, 21382, 484, 419, 510, 479, 5073, 258, 476, 453, 14851, 3593, 2652, 1412, 3960, 336, 262, 543, 533, 23424, 2652, 1412, 11277, 12466, 258, 476, 4848, 13537, 3488, 419, 503, 375, 25051, 499, 29873, 20693, 509, 5073, 258, 476, 4848, 453, 4958, 815, 30775, 28949, 16911, 267, 1262, 29220, 16911, 264, 1948, 17276, 492, 354, 418, 498, 370, 31308, 509, 16583, 30936, 7511, 13213, 498, 18713, 508, 29219, 454, 258, 476, 4848, 16596, 1427, 454, 258, 476, 453, 28432, 912, 258, 476, 4848, 13537, 3488, 17958, 16043, 371, 12571, 491, 16043, 500, 21382, 484, 419, 510, 479, 421, 498, 503, 13644, 363, 5073, 258, 476, 16596, 12109, 3899, 454, 28768, 258, 476, 21251, 20693, 510, 420, 352, 483, 421, 354 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 22027, 827, 3054, 610, 20468, 1932, 1454, 827, 1018, 1866, 1589, 269, 5994, 8876, 1472, 513, 5230, 30618, 4904, 609, 1582, 1673, 12874, 339, 543, 4250, 1107, 602, 781, 2186, 540, 1018, 1373, 538, 31261, 7959, 899, 269, 901, 30618, 1223, 2270, 4145, 827, 2436, 1004, 2731, 899, 721, 267, 938, 15421, 267, 610, 1256, 952, 649, 4866, 12341, 269, 4340, 547, 4966, 267, 972, 616, 1614, 1292, 2010, 540, 538, 572, 15247, 281, 5920, 267, 1514, 10343, 267, 543, 2702, 630, 21815, 20084, 288, 267, 562, 6155, 4700, 780, 272, 269, 2878, 7343, 30970, 5093, 1937, 1845, 827, 835, 781, 5654, 267, 1560, 3337, 267, 2597, 267, 2960, 2681, 267, 3092, 269, 1280, 1383, 267, 3206, 267, 834, 296, 6999, 594, 1185, 1225, 569, 4552, 899, 1200, 257, 610, 834, 7069, 9224, 568, 865, 2462, 4799, 273, 269, 2878, 12892, 20504, 766, 5093, 31700, 827, 17501, 538, 609, 9905, 267, 1818, 2828, 267, 543, 1373, 851, 540, 513, 1895, 269, 7151, 4555, 949, 3280, 899, 267, 834, 2710, 789, 899, 803, 8119, 610, 834, 8649, 594, 3579, 2614, 585, 873, 24350, 274, 269, 2878, 6781, 1006, 5093, 8935, 321, 1206, 827, 2123, 16169, 267, 4987, 267, 543, 13007, 269, 6201, 1331, 4555, 971, 607, 267, 834, 4692, 594, 9096, 1250, 6780, 593, 942, 8119, 610, 834, 12663, 594, 3111, 1250, 2979, 1449, 14182, 12482, 4322, 538, 572, 15247, 1419, 8915, 2933, 607, 513, 3575, 540, 1970, 6015, 267, 4160, 267, 543, 10462, 269, 1809, 3314, 267, 1175, 1317, 596, 1995, 8090, 540, 8969, 3085, 1405, 1611, 596, 25758, 24835, 762, 610, 7938, 20564, 269, 3776, 12058, 3006, 21179, 622, 1507, 2152, 267, 799, 2306, 721, 811, 2693, 547, 17743, 593, 9228, 2258, 2510, 982, 1064, 14476, 269, 2334, 781, 1946, 1565, 547, 5431, 543, 4383, 1346, 538, 572, 15247, 568, 1898, 780, 1262, 8489, 1684, 769, 572, 15247, 22067, 3245, 15140, 15124, 2243, 256, 6884, 267, 538, 572, 15247, 8451, 1813, 547, 2833, 1369, 3885, 267, 3506, 267, 2950, 267, 610, 2923, 6835, 269, 24951, 6000, 547, 1866, 2228, 610, 22356, 666, 849, 1291, 547, 2799, 1582, 1673, 12874, 339, 269, 4634, 2604, 547, 8011, 666, 2014, 538, 572, 15247, 950, 1919, 1205, 9157, 27268, 610, 13998, 269, 5457, 267, 1498, 267, 1169, 1367, 814, 2189, 9342, 6730, 12755, 269, 3143, 1079, 1004, 616, 7567, 2439, 1262, 1692, 2052, 1284, 3683, 2492, 769, 572, 15247, 15140, 763, 1434, 3377, 568, 602, 972, 616, 1082, 2081, 547, 10994, 538, 572, 15247, 543, 1628, 909, 6043, 256, 3371, 616, 2947, 4388, 547, 948, 596, 1376, 1384, 272, 269, 2608, 26368, 707, 12153, 17041, 8347, 547, 4137, 856, 3871, 610, 2621, 602, 4043, 547, 8141, 4606, 540, 22584, 269, 4495, 596, 917, 707, 12153, 267, 596, 666, 5965, 2318, 12003, 2994, 6619, 540, 942, 563, 273, 269, 2608, 20797, 1582, 16327, 6842, 15846, 2142, 9543, 609, 3054, 543, 7618, 3054, 602, 16764, 8188, 2591, 1631, 543, 1287, 269, 13185, 547, 3054, 899, 596, 1131, 2911, 547, 513, 3659, 945, 2115, 1489, 563, 274, 269, 2608, 20806, 3188, 2942, 4555, 15846, 1879, 5185, 609, 1582, 1673, 12874, 1154, 4555, 267, 2307, 3054, 952, 789, 2992, 4641, 269, 10705, 267, 938, 19048, 5749, 1405, 1759, 593, 5013, 855, 2864, 10054, 610, 12194, 563, 275, 269, 2608, 30395, 513, 2208, 14820, 15846, 5617, 10079, 602, 707, 7907, 267, 15421, 267, 543, 5759, 666, 1689, 936, 942, 269, 5502, 540, 9319, 7965, 267, 9784, 873, 607, 3255, 547, 1451, 1007, 1983, 563, 276, 269, 2608, 5353, 2131, 4296, 17041, 8490, 2178, 3347, 609, 1920, 2818, 267, 3610, 267, 543, 2828, 666, 1683, 3407, 1489, 1282, 4101, 2053, 269, 1656, 6616, 602, 824, 1004, 1416, 827, 721, 2337, 8396, 538, 572, 15247, 2439, 8855, 267, 4742, 8746, 543, 5150, 3217, 2259, 543, 9639, 269, 5901, 2324, 593, 3384, 1582, 18221, 267, 6568, 267, 543, 30840, 1142, 1554, 269, 2060, 4674, 267, 596, 3513, 7930, 8774, 602, 5230, 30618, 540, 538, 572, 15247, 543, 3802, 23217, 883, 1022, 3510, 1272, 25001, 707, 1259, 256, 0, 2080, 568, 606, 1349, 689, 513, 2546, 281, 834, 1103, 572, 15247, 538, 513, 2078, 616, 1455, 4606, 602, 5176, 3025, 786, 1995, 693, 930, 1448, 538, 741, 2729, 267, 543, 789, 666, 6565, 689, 513, 3099, 540, 2959, 269, 898, 3335, 28107, 607, 513, 3668, 540, 6015, 267, 4160, 267, 543, 10462, 269, 11554, 547, 8308, 2697, 543, 2232, 538, 572, 15247, 2636, 513, 1268, 547, 2569, 741, 2942, 1764, 267, 1265, 17105, 3354, 543, 6617, 267, 543, 1020, 513, 1279, 3856, 2631, 540, 4502, 602, 4412, 1564, 873, 2509, 8788, 543, 4824, 1134, 5630, 563, 1432, 22549, 616, 769, 572, 15247, 888, 6097, 547, 519, 1977, 16723, 5948, 267, 538, 572, 15247, 616, 15491, 269, 898, 4016, 547, 606, 2949, 2631, 540, 22584, 610, 4160, 827, 707, 4502, 267, 5759, 267, 1983, 267, 543, 1871, 607, 513, 1268, 282, 621, 27711, 519, 5048, 602, 596, 616, 693, 1981, 610, 538, 8594, 540, 1945, 610, 2576, 269, 769, 9798, 666, 723, 513, 2942, 2168, 267, 2790, 267, 610, 3929, 1764, 269, 1411, 666, 1406, 3035, 2407, 3972, 610, 1599, 547, 707, 2407, 1761, 952, 596, 1810, 1406, 723, 3354, 563, 21618, 540, 538, 572, 15247, 912, 268, 1323, 11566, 6845, 6231, 8620, 606, 2502, 543, 3015, 1576, 1770, 538, 513, 1837, 585, 1647, 1153, 1053, 1644, 547, 519, 1349, 1657, 267, 2519, 593, 9358, 7582, 22723, 13493, 1315, 4317, 11762, 1315, 8682, 7232, 4614, 655, 1299, 8682, 7304, 601, 4800, 1315, 14740, 19725, 269, 898, 1058, 581, 3358, 585, 1647, 1153, 1053, 1510, 1991, 1702, 593, 519, 1888, 780, 2521, 547, 1384, 268, 3629, 2143, 3137, 267, 2057, 2930, 3822, 267, 543, 1459, 519, 2093, 538, 513, 3551, 267, 2239, 3159, 563, 268, 3417, 1806, 547, 1118, 519, 1641, 3839, 543, 3078, 585, 1762, 1647, 1153, 1053, 269, 3097, 268, 1684, 711, 2446, 519, 1357, 1349, 538, 519, 1837, 543, 798, 711, 1331, 513, 2140, 610, 2606, 2453, 267, 596, 1058, 2328, 519, 1543, 2047, 269, 0, 17345, 5149, 281, 29460, 513, 27752, 910, 634, 5020, 540, 8621, 4802, 12275, 1633, 692, 7072, 912, 5970, 596, 2479, 2219, 827, 4742, 513, 5856, 286, 5620, 596, 2479, 4941, 547, 2995, 513, 1650, 602, 9356, 707, 1378, 2833, 610, 7422, 827, 519, 1158, 1472, 596, 286, 1403, 865, 267, 1287, 596, 1522, 1265, 6667, 538, 519, 1272, 540, 8621, 4802, 12275, 1633, 267, 513, 4583, 1977, 2278, 945, 5206, 3532, 543, 3001, 2984, 827, 519, 2729, 540, 8723, 1004, 780, 15900, 13012, 912, 295, 600, 4802, 12275, 1633, 729, 4535, 593, 5181, 476, 1691, 267, 476, 5908, 271, 267, 538, 513, 1507, 4884, 538, 16855, 269, 3571, 3237, 941, 6705, 945, 17388, 547, 1118, 7475, 2743, 267, 543, 607, 513, 1267, 267, 12275, 1633, 1185, 513, 2352, 6689, 269, 1879, 646, 729, 1175, 2947, 1296, 2025, 267, 1010, 1920, 6410, 7178, 547, 19578, 538, 3406, 540, 1732, 3255, 269, 1809, 1919, 4769, 1405, 1205, 1022, 4443, 585, 873, 972, 269, 1358, 5185, 1082, 2591, 267, 1519, 26221, 267, 1025, 11170, 1841, 267, 543, 2883, 7965, 269, 1452, 23434, 1131, 2663, 1831, 1271, 4798, 538, 12275, 1633, 781, 1603, 780, 300, 26090, 6796, 912, 2691, 12275, 1633, 729, 8938, 1296, 2025, 267, 646, 8678, 519, 7952, 543, 6039, 1282, 519, 4279, 13961, 26919, 2782, 540, 476, 6942, 277, 268, 6507, 269, 901, 1995, 6534, 1864, 547, 1007, 24738, 543, 4992, 267, 543, 621, 3376, 2989, 1010, 5133, 593, 519, 1158, 269, 2991, 6028, 519, 4108, 267, 12275, 1633, 4956, 547, 11654, 513, 4876, 538, 1603, 780, 16240, 19396, 912, 294, 541, 1633, 3459, 1010, 1603, 4876, 676, 13629, 2110, 2984, 543, 3594, 538, 1585, 17476, 269, 2290, 1554, 267, 646, 4607, 930, 8716, 1913, 689, 5261, 25760, 1215, 20635, 267, 513, 1134, 8153, 9375, 693, 22489, 781, 18225, 269, 1215, 20635, 26916, 12275, 1633, 781, 1603, 2511, 543, 9415, 1864, 547, 1832, 2324, 593, 1010, 4739, 269, 901, 5818, 539, 12275, 1633, 781, 6015, 267, 543, 646, 4797, 547, 24917, 1010, 1983, 607, 513, 5856, 780, 11900, 17508, 912, 294, 541, 1633, 1336, 6667, 585, 1010, 1603, 538, 1010, 1378, 2833, 3395, 909, 593, 513, 3484, 269, 1261, 4941, 547, 8774, 1769, 593, 519, 9620, 543, 29217, 540, 8723, 1004, 2713, 538, 6917, 2127, 269, 3571, 4015, 540, 2110, 2984, 267, 11331, 834, 14611, 6874, 30584, 1194, 10003, 338, 2437, 12667, 569, 28420, 519, 2729, 540, 11068, 13523, 6705, 543, 741, 3885, 269, 3414, 1010, 1603, 267, 12275, 1633, 12479, 547, 6318, 4656, 827, 519, 10792, 2175, 602, 1082, 6705, 28815, 543, 547, 12167, 585, 1514, 1689, 780, 26765, 2329, 912, 9213, 267, 8621, 4802, 12275, 1633, 568, 15422, 607, 513, 21722, 5639, 538, 1977, 3332, 269, 1261, 21490, 519, 1259, 585, 824, 5830, 547, 2263, 519, 10848, 540, 6917, 1272, 543, 547, 946, 741, 1603, 607, 513, 1907, 585, 1514, 5126, 269, 1635, 4687, 1010, 1378, 2833, 543, 7422, 998, 1010, 1603, 267, 12275, 1633, 6273, 1866, 547, 798, 519, 1482, 780, 6962, 912, 6826, 5765, 513, 3811, 5856, 3217, 11428, 267, 2259, 267, 543, 16177, 269, 1306, 596, 666, 1294, 689, 8621, 4802, 12275, 1633, 781, 1272, 1650, 267, 1256, 6849, 1713, 9465, 2059, 519, 1259, 1705, 711, 15658, 1864, 689, 13197, 1010, 9909, 269, 6787, 596, 29954, 790, 547, 581, 513, 5856, 610, 3274, 1616, 547, 2671, 707, 4555, 543, 4606, 609, 1866, 267, 3314, 602, 707, 2189, 5133, 6927, 269, 1924, 1810, 1405, 581, 12922, 547, 2322, 4050, 547, 1957, 630, 528, 11263, 547, 13691, 14386, 543, 1376, 10213, 707, 1378, 1650, 2221, 256, 0, 2080, 568, 606, 1349, 689, 513, 2546, 281, 834, 306, 21788, 4753, 281, 834, 29394, 781, 5530, 2437, 538, 11879, 10749, 593, 8621, 4802, 12275, 1633, 267, 12995, 676, 6276, 18491, 601, 267, 717, 269, 918, 269, 8065, 1299, 3213, 1421, 476, 2735, 273, 267, 6032, 269, 476, 3374, 268, 277, 563, 314, 288, 7986, 4137, 538, 13524, 10601, 1977, 3332, 267, 1215, 20635, 729, 835, 540, 519, 3056, 15156, 543, 9439, 540, 5339, 17779, 538, 519, 2136, 2276, 269, 1261, 6035, 2038, 19015, 585, 12275, 1633, 781, 1603, 267, 543, 538, 519, 1739, 21626, 267, 646, 32141, 6301, 6874, 30584, 1194, 10003, 338, 547, 581, 606, 4977, 26841, 540, 519, 11068, 13523, 16027, 781, 726, 697, 607, 1134, 607, 834, 320, 960, 540, 1148, 1701, 2639, 907, 1547, 2311, 1459, 649, 723, 1152, 1932, 1454, 547, 2911, 827, 538, 513, 1433, 865, 7347, 543, 1768, 1026, 569, 3978, 607, 6004, 269, 8621, 4802, 12275, 1633, 781, 4320, 1572, 6301, 6874, 30584, 1194, 10003, 338, 269, 2334, 568, 1018, 789, 1289, 519, 28565, 538, 519, 851, 540, 519, 4639, 602, 6004, 269, 12275, 1633, 2501, 689, 543, 11339, 827, 282, 543, 891, 2984, 616, 2407, 540, 519, 15280, 543, 8781, 7452, 267, 519, 28067, 543, 911, 332, 9482, 1793, 2313, 540, 519, 1455, 18817, 540, 1272, 281, 519, 1272, 540, 519, 2367, 945, 27945, 569, 543, 17869, 8393, 1118, 519, 5763, 602, 27862, 519, 9813, 543, 519, 7329, 2401, 267, 543, 791, 1478, 8460, 519, 605, 6231, 8620, 606, 2502, 543, 3015, 1576, 1770, 538, 513, 1837, 585, 1647, 1153, 1053, 1644, 547, 519, 1349, 1657, 267, 2519, 593, 19739, 24209, 1299, 27483, 302, 10292, 24209, 1315, 13639, 1315, 4937, 269, 898, 1058, 581, 3358, 585, 1647, 1153, 1053, 1510, 1991, 1702, 593, 519, 1888, 780, 2521, 547, 1384, 268, 3629, 2143, 3137, 267, 2057, 2930, 3822, 267, 543, 1459, 519, 2093, 538, 513, 3551, 267, 2239, 3159, 563, 268, 3417, 1806, 547, 1118, 519, 1641, 3839, 543, 3078, 585, 1762, 1647, 1153, 1053, 269, 3097, 268, 1684, 711, 2446, 519, 1357, 1349, 538, 519, 1837, 543, 798, 711, 1331, 513, 2140, 610, 2606, 2453, 267, 596, 1058, 2328, 519, 1543, 2047, 269, 0, 3848, 476, 1015, 281, 17018, 10181, 334, 5174, 11448, 1488, 321, 990, 12637, 661, 1338, 13921, 4345, 910, 1323, 769, 5937, 3704, 5811, 692, 296, 269, 4985, 692, 2026, 829, 519, 2622, 2657, 9257, 630, 21766, 1070, 818, 321, 990, 12637, 29363, 527, 1938, 2272, 585, 5111, 476, 1015, 260, 547, 476, 1789, 260, 540, 782, 2665, 540, 8650, 29363, 4345, 5001, 269, 901, 3184, 786, 1445, 14311, 593, 18151, 25645, 818, 321, 990, 12637, 29363, 4345, 267, 799, 13514, 1713, 2564, 2591, 1813, 547, 922, 7681, 609, 14715, 4713, 899, 20560, 269, 1635, 3695, 713, 1950, 2783, 781, 1696 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]