nferruz/UR50_2021_04 · Datasets at Hugging Face

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

[ 827, 6672, 32951, 1517, 1440, 391, 1118, 278, 9163, 15259, 199, 30988, 8939, 16258, 394, 2659, 12739, 7661, 2138, 2313, 316, 451, 11837, 412, 2832, 579, 263, 749, 14701, 48826, 423, 199, 553, 10437, 1001, 5509, 3040, 2447, 313, 2682, 358, 4278, 1625, 431, 4545, 266, 3185, 315, 8853, 383, 9991, 1147, 4301, 199, 622, 16261, 413, 427, 3501, 1730, 608, 427, 384, 721, 1793, 16472, 628, 39910, 1351, 17992, 4829, 552, 8074, 9063, 41, 199, 455, 27024, 635, 454, 3780, 262, 18645, 990, 1597, 3161, 1729, 46654, 695, 32196, 425, 4689, 17733, 1281, 924, 199, 577, 294, 1589, 1002, 263, 1370, 483, 346, 6832, 962, 9047, 1575, 2295, 21194, 599, 20468, 368, 6234, 727, 617, 266, 199, 1574, 539, 375, 6468, 287, 1881, 463, 5221, 4538, 32724, 507, 2575, 533, 2784, 477, 24844, 7058, 3977, 515, 427, 3741, 199, 500, 16032, 1213, 432, 482, 1029, 11529, 2128, 495, 40242, 5567, 285, 1696, 896, 352, 531, 425, 506, 19809, 1787, 20033, 199, 20934, 497, 9226, 22670, 12075, 2562, 2923, 321, 6267, 2355, 352, 27656, 849, 452, 20211, 419, 11078, 1370, 541, 334, 199, 1097, 734, 45559, 13254, 922, 33135, 1924, 13173, 371, 1729, 333, 9035, 266, 4170, 761, 33259, 937, 1281, 15745, 199, 20246, 1899, 668, 22809, 479, 40597, 6734, 328, 1096, 22519, 30664, 626, 31572, 8132, 2765, 365, 1808, 1831, 271, 199, 355, 2779, 343, 44548, 804, 3654, 874, 2582, 381, 1430, 1020, 18487, 25952, 972, 675, 287, 1883, 481, 5988, 9203, 199, 1508, 13269, 1032, 339, 606, 3607, 1810, 362, 757, 617, 265, 670, 344, 1202, 276, 792, 412, 3008, 444, 432, 1545, 283, 781, 338, 199, 6090, 1613, 27226, 2312, 604, 4513, 301, 633, 461, 2945, 1460, 1078, 359, 1847, 314, 1755, 377, 668, 599, 36995, 3705, 199, 16124, 470, 7215, 543, 1727, 31472, 9148, 546, 635, 566, 2796, 354, 1987, 1032, 643, 24938, 821, 753, 929, 448, 21419, 199, 287, 21963, 8040, 199, 0, 199, 18454, 459, 27280, 334, 1071, 17766, 28640, 15596, 2002, 14591, 7556, 266, 8590, 25392, 729, 7638, 596, 44507, 199, 32497, 1109, 34473, 664, 7115, 25677, 432, 23196, 2886, 23811, 536, 332, 14464, 542, 7176, 7987, 25710, 3926, 199, 12200, 55, 947, 451, 3351, 651, 9307, 801, 352, 6449, 427, 1061, 917, 401, 498, 43369, 453, 23274, 1397, 16196, 629, 199, 964, 487, 511, 394, 15935, 1045, 10874, 4870, 261, 758, 337, 1873, 457, 712, 3508, 363, 1032, 1777, 30166, 2277, 399, 199, 17499, 374, 1276, 27079, 10947, 1007, 8763, 533, 324, 502, 11949, 1065, 45849, 354, 11808, 7083, 501, 2847, 751, 2005, 199, 1000, 3840, 648, 5531, 11435, 436, 4365, 36583, 374, 18169, 558, 7340, 4458, 466, 2078, 35629, 1011, 911, 34134, 199, 2816, 501, 14103, 2751, 25034, 397, 5696, 465, 37428, 279, 23539, 540, 6706, 687, 331, 2319, 374, 10385, 450, 6002, 199, 1279, 387, 20480, 741, 40227, 269, 7191, 865, 412, 4321, 270, 1983, 660, 392, 638, 263, 1257, 339, 8161, 370, 319, 2682, 466, 199, 280, 709, 466, 1529, 2562, 11881, 455, 1700, 4723, 366, 1255, 511, 346, 1410, 20999, 452, 437, 390, 1962, 493, 475, 3896, 257, 199, 409 ]

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

[ 422, 998, 4670, 15877, 23193, 359, 1799, 264, 11816, 475, 815, 11502, 433, 393, 13617, 1653, 546, 324, 471, 385, 948, 199, 28458, 1296, 628, 9500, 24038, 368, 1276, 1426, 1580, 341, 1135, 384, 40843, 2238, 358, 1090, 5657, 3000, 26681, 1956, 199, 5337, 483, 816, 381, 1149, 282, 432, 1375, 1849, 573, 274, 2003, 15434, 3303, 576, 19410, 45402, 9188, 48, 2085, 383, 853, 38, 199, 10005, 1442, 6500, 1875, 35604, 19817, 8759, 40509, 933, 18046, 486, 337, 677, 1307, 346, 1240, 42409, 3074, 199, 617, 265, 1113, 7965, 1065, 937, 400, 1101, 390, 356, 416, 863, 293, 2078, 958, 4661, 466, 917, 2931, 47398, 2709, 741, 199, 5710, 367, 1711, 1065, 36, 9094, 391, 12397, 328, 5568, 18981, 2397, 1042, 22812, 1127, 359, 368, 387, 1175, 426, 4339, 552, 199, 10377, 25645, 502, 25271, 720, 926, 2391, 745, 8176, 999, 19678, 26681, 632, 4557, 272, 2381, 396, 1474, 48799, 199, 1470, 21475, 279, 821, 1557, 450, 2350, 397, 1354, 1078, 2001, 825, 382, 554, 18251, 372, 1353, 28466, 1065, 359, 31936, 199, 779, 626, 27885, 300, 20329, 316, 1482, 262, 842, 414, 287, 1358, 34429, 4054, 729, 5038, 359, 618, 367, 807, 811, 199, 538, 1498, 23620, 518, 6074, 2142, 729, 8176, 570, 18507, 1032, 8370, 316, 2214, 1203, 353, 1032, 384, 577, 388, 605, 33, 199, 507, 6953, 1132, 199, 0, 199, 419, 409, 1286, 6873, 313, 1751, 2942, 1067, 1115, 36, 32481, 1177, 4653, 31782, 404, 1321, 1714, 2386, 2599, 930, 38, 199, 6832, 7103, 2826, 57, 3785, 1760, 474, 2599, 22280, 265, 2236, 451, 824, 36999, 3785, 4830, 509, 400, 452, 389, 1588, 199, 23412, 366, 3200, 14712, 419, 5795, 450, 1547, 602, 474, 10319, 509, 1817, 407, 28425, 1801, 12944, 1760, 1900, 18844, 199, 1333, 467, 889, 6379, 21107, 1013, 332, 4005, 2034, 312, 510, 276, 540, 3507, 4201, 421, 13832, 368, 843, 46095, 199, 3243, 1205, 405, 653, 27785, 31959, 377, 766, 380, 3546, 25858, 2447, 1276, 3472, 16437, 321, 1211, 364, 725, 22609, 199, 353, 1091, 551, 1228, 433, 1032, 14850, 514, 1166, 19026, 7136, 367, 2947, 38072, 737, 367, 455, 1460, 540, 19903, 6101, 199, 287, 4614, 1845, 1080, 450, 1470, 4531, 639, 34355, 361, 12565, 3840, 1176, 443, 2606, 967, 8527, 376, 743, 1629, 199, 466, 2196, 337, 997, 471, 5348, 399, 9926, 564, 11511, 532, 392, 2713, 416, 427, 419, 476, 1166, 383, 441, 1102, 19782, 1264, 199, 21075, 382, 454, 2912, 21870, 1070, 1430, 16428, 857, 300, 7422, 38013, 421, 9528, 1823, 1127, 3607, 321, 33663, 199, 366, 41622, 3016, 2549, 689, 324, 1046, 381, 8733, 2175, 272, 31422, 1918, 378, 2555, 1504, 362, 1272, 270, 976, 352, 467, 199, 359, 1219, 1582, 279, 2170, 865, 272, 457, 17456, 937, 37972, 3672, 8860, 21189, 2402, 829, 34656, 3488, 6375, 199, 464, 859, 13614, 1743, 2686, 259, 1903, 1893, 492, 11300, 1127, 386, 462, 963, 708, 364, 761, 4418, 365, 455, 338, 467, 714, 199, 1636, 57, 800, 34408, 3876, 27944, 3601, 1331, 1711, 2016, 757, 313, 516, 7488, 1386, 1844, 2543, 18446, 467, 32903, 199, 410, 2063, 349, 15060, 453 ]

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

[ 2126, 332, 874, 2609, 1295, 1274, 2220, 319, 33946, 7084, 1225, 10224, 433, 1291, 426, 1413, 199, 403, 20657, 338, 25521, 1836, 654, 342, 2030, 1572, 1134, 313, 674, 487, 2237, 2456, 413, 1778, 1049, 11289, 467, 340, 45, 199, 431, 23566, 502, 3278, 373, 518, 509, 47976, 1448, 336, 363, 22883, 4008, 2305, 946, 765, 916, 347, 842, 317, 1178, 50, 199, 1053, 383, 642, 267, 22464, 351, 509, 377, 1428, 2362, 33395, 996, 538, 377, 1564, 277, 9903, 2425, 37440, 30738, 2185, 199, 35227, 593, 19545, 2241, 1245, 342, 5909, 464, 489, 822, 4368, 453, 427, 2845, 48919, 382, 7674, 397, 23242, 3858, 199, 337, 5623, 533, 57, 690, 340, 27483, 1184, 816, 11084, 1396, 1162, 265, 1900, 275, 669, 13114, 17333, 2171, 2898, 1664, 199, 23585, 384, 44748, 199, 0, 199, 21062, 1430, 5733, 421, 5049, 637, 348, 764, 697, 1276, 323, 2078, 690, 25054, 340, 2464, 938, 15905, 6917, 338, 199, 19677, 31791, 37067, 709, 318, 4529, 7551, 1004, 407, 429, 2998, 384, 577, 12959, 1007, 13204, 1871, 31816, 10634, 199, 555, 3547, 35490, 2427, 9064, 11096, 1185, 37634, 10767, 622, 1986, 1124, 6572, 2212, 264, 24301, 362, 25214, 199, 16849, 3447, 524, 24310, 1725, 29824, 1209, 286, 1185, 359, 1276, 792, 622, 1986, 1124, 6572, 2212, 264, 24301, 199, 387, 25214, 16849, 3447, 524, 24310, 2209, 31791, 37067, 709, 318, 4529, 7551, 1004, 407, 429, 2998, 384, 577, 318, 199, 260, 1007, 13204, 1871, 467, 11885, 407, 768, 292, 35490, 2427, 9064, 11096, 1185, 37634, 10767, 622, 388, 567, 365, 199, 6572, 2212, 264, 24301, 362, 25214, 16849, 3447, 524, 359, 423, 1725, 29824, 1209, 286, 1185, 359, 1276, 792, 622, 199, 1986, 1124, 6572, 2212, 264, 24301, 347, 25214, 16849, 3447, 524, 24310, 1725, 29824, 1209, 286, 1185, 359, 1276, 199, 792, 622, 1986, 1124, 6572, 2212, 264, 24301, 362, 25214, 16849, 3447, 524, 359, 423, 1725, 2521, 23453, 15254, 199, 359, 25821, 792, 622, 1986, 1124, 6572, 2212, 264, 24301, 347, 25214, 16849, 3447, 524, 24310, 1725, 29824, 43, 199, 8346, 1185, 359, 1119, 792, 622, 388, 567, 7575, 3534, 680, 24301, 362, 25214, 16849, 3447, 524, 359, 423, 1725, 199, 2521, 352, 15707, 8144, 25821, 792, 622, 1986, 1124, 6572, 2212, 264, 24301, 347, 25214, 16849, 3447, 3808, 199, 2266, 1725, 29824, 1209, 286, 1185, 359, 1119, 792, 622, 388, 450, 329, 6572, 2212, 18666, 33259, 22212, 497, 758, 199, 10676, 366, 359, 423, 1725, 2521, 352, 15707, 8144, 25821, 792, 622, 1986, 1124, 6572, 2212, 264, 24301, 347, 2236, 199, 39, 16849, 3447, 524, 359, 423, 1725, 29824, 1209, 286, 1185, 359, 1276, 792, 622, 1986, 1124, 6572, 2212, 264, 10556, 199, 1844, 25214, 16849, 3447, 524, 24310, 1725, 29824, 1209, 286, 1185, 359, 1119, 792, 622, 1986, 1124, 301, 3534, 199, 11412, 24301, 362, 25214, 16849, 3447, 22993, 423, 1725, 29824, 1209, 286, 1185, 359, 1119, 792, 622, 388, 567, 329, 199, 6572, 2212, 264, 24301, 362, 8000, 16849, 3447, 524, 34161, 1725, 2521, 352, 15707, 8144, 25821, 792, 622, 199, 1986, 1124, 6572, 2212, 264, 24301, 347, 25214, 16849, 3447, 524 ]

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

[ 359, 445, 1725, 442, 345, 1455, 285, 1185, 352, 819, 199, 279, 864, 6066, 199, 0, 199, 1857, 270, 623, 331, 1521, 35755, 26636, 1033, 290, 675, 7772, 618, 414, 664, 2277, 1451, 326, 5631, 5838, 8202, 199, 6961, 473, 371, 389, 10020, 613, 470, 26589, 40258, 2442, 516, 4415, 2095, 20728, 326, 424, 643, 6342, 292, 1524, 379, 324, 199, 23548, 2182, 510, 295, 523, 295, 579, 483, 677, 344, 2430, 1340, 2627, 6066, 446, 2947, 7258, 6407, 867, 340, 7271, 199, 39050, 4791, 330, 2463, 268, 985, 5289, 47227, 1340, 21068, 713, 370, 5813, 799, 340, 10763, 2300, 349, 1968, 333, 199, 1253, 397, 1422, 351, 1654, 12231, 985, 3187, 22455, 824, 275, 662, 1199, 369, 462, 741, 282, 1886, 318, 4849, 13960, 469, 199, 461, 819, 1791, 386, 4366, 726, 8146, 26010, 12823, 391, 351, 6712, 28671, 705, 39577, 11844, 388, 3519, 2277, 49, 199, 378, 16135, 2761, 389, 1129, 1883, 290, 8697, 396, 556, 2845, 843, 11115, 10620, 2710, 355, 11956, 433, 16705, 612, 941, 199, 850, 9785, 17955, 708, 269, 1030, 282, 1187, 279, 5955, 384, 432, 3986, 380, 1542, 2177, 380, 973, 393, 3017, 12071, 396, 491, 199, 49871, 26526, 15285, 8762, 512, 6192, 1271, 2677, 11990, 739, 2442, 2799, 6852, 432, 2357, 2466, 1316, 397, 41, 199, 570, 432, 838, 4811, 347, 579, 6687, 334, 392, 10441, 292, 402, 701, 276, 436, 2492, 761, 16108, 635, 13512, 32022, 2977, 199, 995, 391, 1299, 31864, 11192, 812, 27023, 1068, 451, 2595, 3677, 2369, 22199, 2369, 278, 2727, 3157, 14106, 49, 199, 8694, 356, 1431, 4892, 3805, 263, 14008, 386, 2101, 6193, 37686, 3748, 295, 21526, 1822, 456, 354, 516, 9386, 2570, 199, 15897, 459, 1542, 278, 5736, 271, 457, 563, 278, 3976, 1329, 376, 9696, 761, 1892, 570, 16525, 9493, 2915, 1478, 321, 199, 612, 570, 689, 435, 9277, 563, 381, 584, 332, 7187, 20445, 20904, 272, 524, 1055, 505, 859, 1042, 16773, 605, 1538, 199, 436, 2533, 435, 268, 615, 7102, 382, 2836, 21489, 363, 4816, 842, 2029, 982, 1309, 732, 443, 1505, 40335, 538, 10509, 199, 12845, 1423, 5902, 291, 876, 433, 8098, 2028, 388, 469, 700, 291, 12951, 266, 36881, 1388, 322, 558, 280, 2141, 48, 15882, 199, 348, 6790, 616, 24429, 7636, 318, 1610, 2014, 10776, 479, 771, 29689, 10682, 258, 18184, 37961, 6296, 9121, 199, 1646, 732, 3902, 2684, 1178, 1201, 342, 522, 24543, 24332, 4279, 403, 2336, 278, 2701, 609, 1264, 39121, 3959, 35, 199, 9561, 932, 297, 2927, 511, 291, 2481, 358, 594, 346, 35781, 6188, 25523, 5220, 372, 1560, 367, 1086, 4837, 714, 358, 199, 9246, 1495, 292, 199, 0, 199, 1441, 381, 27605, 19503, 8761, 33048, 779, 8212, 1091, 12521, 2035, 332, 658, 532, 24637, 519, 3466, 5944, 1079, 199, 25970, 1097, 5096, 372, 2430, 367, 508, 416, 337, 1417, 478, 10236, 2773, 286, 3020, 22138, 12835, 401, 1547, 17633, 1032, 199, 11215, 535, 31718, 684, 277, 11748, 1035, 453, 584, 351, 629, 38407, 506, 828, 660, 545, 989, 4270, 1795, 748, 324, 199, 39, 13848, 345, 440, 45160, 415, 2426, 16433, 5630, 719, 284, 1155, 31875 ]

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

[ 785, 37159, 1297, 18214, 1051, 338, 6062, 199, 11562, 1033, 12879, 949, 953, 9092, 466, 18122, 41350, 1287, 666, 1868, 276, 499, 412, 5497, 377, 7464, 708, 8421, 199, 421, 3241, 1878, 371, 1390, 2120, 31193, 2354, 21821, 3522, 15017, 297, 4693, 34274, 15325, 811, 45861, 446, 300, 199, 37, 11814, 2265, 271, 2929, 20562, 396, 20625, 29336, 12353, 519, 6137, 287, 500, 15397, 2044, 24749, 325, 1498, 28319, 199, 16031, 2820, 41554, 10713, 427, 4918, 454, 4390, 624, 1479, 403, 1272, 337, 395, 21855, 8225, 300, 1873, 2041, 8549, 199, 39, 2008, 417, 890, 3888, 374, 1175, 33473, 400, 2110, 830, 1376, 36684, 549, 1108, 357, 3345, 1559, 675, 32335, 8040, 199, 37, 3789, 506, 12554, 511, 800, 6261, 750, 294, 7119, 1480, 23294, 1429, 14870, 395, 914, 491, 23997, 337, 1684, 465, 199, 32497, 2073, 388, 1272, 272, 1713, 295, 1018, 49112, 941, 16575, 279, 1078, 359, 38976, 2478, 367, 2755, 6594, 427, 351, 35, 199, 23176, 478, 2863, 268, 572, 291, 1124, 21997, 724, 34291, 1070, 444, 18168, 328, 34683, 1678, 456, 18308, 538, 320, 3551, 199, 521, 794, 333, 13033, 423, 3815, 342, 938, 32212, 21134, 556, 386, 13995, 7489, 496, 301, 1363, 316, 1206, 378, 6875, 199, 9581, 1356, 1213, 22513, 2131, 45403, 2380, 598, 4886, 489, 4749, 684, 513, 445, 2010, 331, 7935, 1046, 2608, 199, 57, 1014, 299, 630, 316, 5369, 946, 1678, 10677, 1093, 6761, 365, 712, 462, 28747, 974, 359, 1299, 20189, 350, 11351, 5242, 199, 32625, 3939, 1077, 24374, 338, 42585, 922, 1163, 991, 12191, 1604, 404, 1198, 3821, 14655, 1203, 25636, 1377, 288, 199, 438, 801, 481, 297, 11341, 13910, 6976, 43122, 518, 2808, 297, 2532, 779, 277, 1744, 6853, 348, 6994, 371, 39108, 412, 199, 51, 458, 355, 11461, 272, 32134, 10154, 519, 3909, 811, 257, 593, 23133, 511, 741, 395, 411, 5603, 6956, 792, 47265, 199, 44, 2563, 312, 1218, 422, 482, 199, 0, 199, 942, 277, 11887, 1501, 2368, 457, 683, 12451, 492, 49622, 366, 516, 2396, 16073, 1456, 294, 1014, 6040, 510, 268, 199, 362, 1327, 17196, 2197, 1051, 280, 2322, 28583, 2403, 15622, 1548, 440, 622, 346, 770, 19489, 315, 3982, 472, 281, 199, 1693, 3509, 579, 1879, 8070, 713, 550, 5967, 661, 2664, 543, 18845, 1025, 16841, 2444, 273, 597, 2737, 199, 8801, 3743, 8079, 361, 1095, 33195, 510, 4259, 461, 15365, 4250, 912, 639, 3078, 4865, 1082, 652, 460, 199, 362, 911, 30169, 8162, 4123, 731, 14572, 13827, 2460, 300, 4796, 371, 752, 264, 395, 8095, 1683, 34003, 386, 199, 1373, 5073, 19036, 11749, 1220, 3078, 378, 2032, 1537, 6586, 10126, 2297, 1258, 866, 1861, 461, 1542, 269, 2828, 199, 261, 824, 7655, 824, 523, 1561, 10934, 2321, 3074, 36170, 1430, 273, 1507, 824, 366, 524, 15145, 6547, 19758, 199, 1644, 389, 652, 3637, 418, 4645, 652, 366, 2109, 57, 731, 389, 587, 336, 575, 1646, 24795, 462, 25651, 833, 602, 1196, 279, 199, 25183, 1040, 456, 7637, 395, 1542, 1542, 2453, 326, 22216, 4155, 319, 3149, 334, 2587, 1449, 341, 3266, 273, 1242, 50, 199, 38554, 1228, 618, 1231, 319, 1382, 258, 1182 ]

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

[ 7315, 524, 5144, 271, 866, 11524, 1402, 487, 40868, 1350, 936, 48, 199, 39, 2901, 510, 2828, 936, 4679, 1992, 440, 11083, 30601, 9674, 41802, 48658, 3781, 833, 2930, 8781, 52, 199, 12220, 510, 992, 319, 509, 6051, 257, 1036, 6342, 292, 696, 319, 1588, 319, 789, 26021, 373, 1567, 47984, 440, 1736, 199, 467, 17115, 296, 2930, 280, 2371, 16132, 492, 42092, 13442, 2674, 565, 11943, 472, 2466, 12326, 387, 15376, 370, 199, 888, 426, 37608, 888, 550, 1365, 8300, 25956, 6722, 22331, 1561, 824, 888, 7083, 550, 264, 846, 935, 3806, 199, 3120, 7275, 1238, 290, 1242, 48, 1207, 522, 418, 9955, 264, 2066, 30320, 1960, 17115, 8646, 15155, 486, 314, 2786, 199, 5977, 2321, 14763, 1242, 6072, 490, 659, 4707, 512, 3301, 11780, 323, 1562, 614, 261, 1561, 4795, 15724, 19701, 199, 456, 607, 3102, 996, 16886, 6586, 292, 923, 20182, 11029, 25844, 755, 4695, 4818, 319, 1542, 1595, 48707, 199, 1690, 292, 646, 292, 1040, 782, 325, 4999, 292, 1280, 16997, 2032, 7541, 1242, 1646, 7315, 847, 3424, 1614, 7099, 199, 50077, 579, 418, 6206, 2564, 936, 366, 1620, 12828, 623, 9541, 755, 883, 683, 298, 2000, 290, 524, 422, 22195, 199, 1098, 292, 539, 281, 199, 0, 199, 1066, 39692, 1688, 9191, 2191, 802, 414, 661, 43410, 5310, 21180, 1064, 279, 1471, 294, 1415, 512, 5033, 2643, 199, 317, 3172, 331, 4018, 501, 24190, 851, 529, 10364, 297, 1137, 5001, 741, 271, 1288, 386, 7497, 19506, 395, 6598, 357, 199, 18716, 1329, 547, 7989, 547, 364, 514, 8800, 297, 1072, 649, 476, 8402, 332, 3578, 431, 796, 1634, 452, 11007, 1007, 528, 199, 509, 1847, 381, 21359, 399, 16343, 47798, 32814, 1160, 797, 412, 2381, 260, 16671, 840, 500, 8319, 346, 22827, 1612, 41, 199, 44, 21519, 15467, 383, 7357, 3406, 1301, 364, 4619, 1601, 364, 2168, 363, 539, 1925, 8741, 387, 2266, 266, 20050, 491, 199, 920, 276, 1893, 477, 7501, 2492, 520, 1202, 470, 9367, 14187, 471, 1824, 1730, 16589, 1726, 25298, 5389, 374, 4558, 199, 363, 6544, 29587, 447, 382, 2054, 359, 5803, 15516, 2075, 6034, 263, 873, 477, 32532, 864, 344, 1356, 3142, 394, 568, 54, 199, 506, 6154, 425, 1451, 353, 477, 721, 1482, 10368, 346, 8478, 10587, 1443, 368, 4113, 352, 39148, 872, 328, 489, 16685, 199, 5111, 600, 25990, 5192, 2650, 412, 8653, 637, 39420, 24227, 840, 1409, 1219, 376, 470, 535, 1100, 269, 1280, 441, 45, 199, 354, 396, 547, 2256, 10324, 43121, 632, 414, 383, 2226, 2367, 10575, 6821, 26604, 760, 4744, 332, 2311, 716, 1800, 199, 909, 331, 540, 6721, 355, 3537, 615, 15508, 1426, 1206, 3418, 1276, 391, 666, 459, 1907, 21140, 3830, 363, 3020, 638, 346, 199, 407, 1466, 402, 55, 1046, 459, 49, 1389, 29480, 2941, 45130, 10032, 423, 6283, 328, 3025, 323, 1240, 6971, 26714, 636, 982, 199, 495, 1046, 13566, 832, 393, 2446, 391, 1150, 6515, 1222, 431, 621, 1569, 479, 2398, 2743, 1452, 965, 259, 1330, 10559, 199, 1649, 1030, 386, 4210, 328, 20505, 1719, 264, 687, 676, 9806, 1127, 702, 508, 557, 1458, 298, 38414, 288, 17751, 1933, 199, 3274 ]

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

[ 1427, 821, 265, 22654, 943, 14500, 338, 988, 366, 872, 263, 1144, 29522, 1827, 8480, 916, 515, 402, 468, 5378, 199, 387, 491, 5981, 2358, 344, 1628, 16834, 383, 1669, 1289, 32747, 3017, 416, 359, 21692, 478, 5716, 24425, 1076, 4356, 199, 393, 499, 662, 25792, 425, 1117, 555, 18003, 1551, 650, 325, 3731, 1833, 49754, 3409, 341, 571, 5280, 287, 575, 12944, 1377, 199, 613, 2495, 441, 7663, 40021, 382, 457, 825, 2385, 363, 4400, 276, 766, 431, 437, 3859, 1048, 5046, 638, 5974, 714, 199, 32181, 365, 1824, 259, 1887, 34041, 3691, 21698, 1589, 1836, 43, 1385, 27851, 1347, 22929, 7634, 1209, 533, 1042, 199, 45111, 1269, 276, 199, 0, 199, 445, 8721, 721, 318, 1759, 14577, 1047, 15957, 799, 38210, 295, 3883, 44484, 1864, 24701, 2226, 338, 1390, 4563, 46, 199, 3019, 1915, 416, 764, 260, 2132, 26077, 496, 1133, 4272, 884, 343, 9870, 3274, 889, 283, 1286, 316, 11623, 17472, 199, 51, 2359, 297, 1363, 341, 1330, 470, 539, 1332, 19823, 783, 5409, 474, 1721, 7935, 30203, 1972, 336, 471, 31839, 537, 43, 199, 283, 9716, 1517, 288, 2293, 282, 1420, 788, 42308, 575, 8007, 31490, 3062, 353, 23305, 1425, 406, 383, 363, 6781, 35, 199, 8877, 272, 748, 513, 13543, 695, 33123, 1131, 266, 805, 434, 1151, 331, 3915, 531, 366, 18259, 1655, 11475, 2229, 29918, 199, 433, 611, 4638, 1593, 2036, 344, 14394, 553, 29190, 1466, 2264, 330, 966, 263, 2100, 1143, 39273, 2377, 1097, 36, 1793, 199, 997, 25669, 773, 266, 1662, 2912, 318, 2200, 298, 507, 43141, 7679, 48484, 409, 8118, 446, 655, 1007, 440, 875, 1639, 199, 343, 2959, 1726, 2143, 529, 3141, 364, 8589, 328, 1638, 335, 1170, 1294, 46098, 348, 7539, 1347, 4401, 6158, 1525, 199, 24850, 376, 2189, 38277, 383, 1555, 444, 288, 19567, 2163, 17477, 477, 415, 425, 951, 338, 1592, 326, 446, 1665, 384, 336, 1723, 199, 41709, 1226, 1527, 19999, 357, 973, 891, 515, 1715, 22265, 1933, 46, 955, 359, 384, 33755, 46768, 1533, 279, 568, 14298, 199, 297, 3093, 14091, 13859, 772, 19033, 3274, 42935, 441, 759, 2117, 30453, 1359, 12260, 4224, 911, 1418, 1017, 367, 199, 998, 617, 33663, 451, 31363, 439, 3519, 2166, 295, 509, 650, 350, 2973, 26301, 1460, 279, 5303, 474, 1577, 13518, 2037, 35, 199, 8323, 381, 2965, 345, 647, 614, 8396, 7617, 1173, 269, 25726, 2634, 436, 4220, 969, 320, 1721, 283, 543, 11271, 48, 199, 7441, 2744, 324, 729, 292, 1163, 464, 1408, 1479, 16078, 3086, 419, 1267, 657, 40, 1402, 334, 554, 25923, 1530, 23597, 477, 199, 668, 13659, 398, 744, 331, 33692, 380, 929, 3433, 330, 1851, 259, 1641, 347, 3282, 3218, 2240, 357, 2022, 17726, 320, 199, 515, 4852, 1705, 6859, 7700, 384, 512, 5052, 753, 1877, 4238, 28924, 44454, 1628, 1425, 334, 6841, 479, 17209, 199, 4127, 37707, 297, 21131, 23316, 726, 36565, 2130, 263, 821, 973, 17212, 1452, 12561, 384, 17989, 319, 2661, 8935, 199, 1223, 364, 2142, 1825, 361, 1680, 475, 30849, 848, 604, 422, 5517, 283, 6264, 381, 2386, 1587, 294, 1887, 591, 817, 371, 484, 199, 464, 2003, 814, 3584, 668 ]

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

[ 16224, 661, 331, 6504, 729, 6425, 416, 13870, 422, 1498, 416, 383, 434, 570, 354, 3422, 199, 344, 399, 500, 999, 199, 0, 199, 16251, 31336, 2406, 277, 523, 965, 264, 900, 3829, 752, 6984, 48810, 4219, 2948, 464, 3746, 6952, 578, 199, 51, 510, 1096, 1524, 688, 258, 2322, 629, 817, 301, 757, 503, 404, 324, 12805, 386, 1739, 257, 1032, 15085, 357, 29073, 199, 30556, 514, 655, 266, 21642, 1487, 400, 2025, 14944, 602, 265, 24599, 707, 428, 1744, 21212, 32281, 2165, 9224, 11071, 199, 412, 4885, 886, 26297, 403, 423, 7303, 3630, 1105, 1055, 12811, 15543, 324, 1087, 919, 386, 4668, 833, 5259, 35, 199, 3409, 264, 7738, 1441, 1026, 5822, 1302, 5921, 8384, 673, 14929, 258, 593, 356, 3749, 889, 22662, 889, 49, 199, 46888, 873, 277, 3623, 1402, 28702, 441, 11075, 4367, 12377, 389, 2411, 380, 673, 397, 5693, 1467, 12976, 432, 33, 199, 39, 5799, 419, 341, 1040, 18399, 12821, 1892, 283, 6304, 9381, 783, 273, 6813, 22382, 31044, 36329, 6544, 334, 425, 199, 547, 9144, 28895, 547, 347, 909, 319, 2009, 1742, 564, 377, 1081, 3048, 463, 20684, 7895, 474, 2951, 36727, 739, 348, 529, 199, 1223, 372, 889, 15860, 1320, 39720, 482, 482, 8513, 549, 1129, 1067, 605, 418, 37790, 27909, 345, 10597, 403, 634, 414, 199, 542, 4670, 35245, 355, 3588, 269, 2407, 1677, 6489, 466, 264, 7934, 4238, 570, 422, 10249, 615, 384, 344, 2200, 45149, 199, 263, 1985, 1381, 2185, 46946, 470, 3000, 13140, 1692, 1628, 46140, 10034, 439, 432, 446, 7186, 491, 4266, 1018, 26067, 199, 4521, 446, 926, 612, 1016, 359, 740, 1732, 262, 3307, 9978, 545, 2089, 509, 2846, 1031, 293, 1940, 266, 17336, 42401, 199, 1552, 595, 468, 14019, 341, 1687, 5626, 1669, 274, 951, 388, 402, 1120, 723, 6598, 395, 2696, 8346, 636, 378, 497, 11443, 199, 4653, 1833, 25473, 13605, 457, 775, 369, 25268, 2807, 457, 722, 568, 1509, 637, 6593, 1661, 2841, 49976, 297, 1091, 199, 293, 2534, 4212, 546, 4228, 269, 6494, 2177, 24789, 2671, 390, 3580, 1022, 588, 345, 199, 0, 199, 2062, 2651, 426, 3938, 291, 792, 266, 1332, 13485, 391, 1014, 298, 42246, 1903, 32393, 651, 433, 2408, 990, 1493, 199, 1119, 34560, 865, 2350, 869, 689, 5507, 943, 422, 340, 412, 10361, 3774, 360, 829, 351, 1175, 298, 9764, 395, 2477, 316, 199, 1975, 653, 8952, 842, 16277, 3056, 11382, 856, 4784, 6853, 426, 14959, 538, 5543, 916, 38305, 4924, 827, 199, 44, 2459, 829, 336, 3319, 1705, 508, 688, 573, 338, 33928, 1097, 1641, 1197, 367, 1139, 440, 10719, 6396, 9958, 3276, 199, 2685, 9748, 15005, 4966, 394, 802, 1530, 361, 5475, 37115, 1764, 45, 1969, 15086, 2166, 845, 495, 1791, 16240, 31618, 199, 405, 897, 355, 2576, 356, 1046, 383, 2479, 349, 389, 468, 339, 439, 7751, 353, 1253, 27190, 12896, 23471, 518, 345, 821, 36, 569, 199, 450, 21368, 1673, 321, 1329, 2801, 503, 28088, 576, 7707, 7966, 655, 388, 395, 859, 520, 10514, 266, 1553, 1767, 15559, 199, 1505, 5417, 947, 33899, 24000, 1452, 1685, 42737, 376, 28096, 568, 451, 3507, 2082, 3507, 31437, 24232 ]

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

[ 262, 1215, 711, 351, 1510, 9782, 23794, 26229, 353, 725, 826, 313, 878, 327, 758, 295, 630, 9611, 367, 2190, 3391, 199, 8631, 3391, 16961, 292, 881, 9468, 518, 40, 2800, 312, 4308, 43615, 25191, 326, 3724, 370, 402, 514, 29504, 18779, 199, 4491, 18211, 890, 486, 623, 686, 266, 750, 556, 23059, 713, 285, 1919, 444, 9133, 12606, 1066, 1922, 24638, 199, 1832, 6844, 21788, 1023, 273, 3722, 13053, 3984, 7830, 674, 270, 558, 886, 353, 1398, 29933, 12132, 16279, 199, 4767, 979, 33807, 779, 272, 1494, 32438, 2028, 295, 1360, 419, 6986, 22100, 424, 44835, 1833, 1874, 326, 979, 199, 44, 572, 37921, 354, 878, 713, 464, 4202, 940, 11365, 512, 11144, 564, 537, 777, 263, 1301, 268, 447, 6645, 477, 1207, 199, 9702, 474, 336, 16493, 653, 405, 27804, 1169, 272, 2024, 9394, 4573, 31297, 513, 43979, 1165, 779, 1005, 15374, 199, 51, 1611, 360, 938, 23207, 451, 1498, 49604, 494, 815, 342, 1165, 36275, 2405, 975, 8498, 23996, 11359, 656, 265, 199, 619, 291, 1267, 5423, 31194, 1185, 498, 7651, 1647, 11620, 371, 18177, 1349, 28294, 325, 2029, 371, 8698, 2865, 199, 621, 452, 2133, 25331, 1079, 341, 22042, 441, 2266, 42555, 576, 296, 606, 46387, 629, 318, 529, 343, 505, 2144, 378, 2498, 404, 199, 673, 296, 21181, 2095, 457, 19947, 2990, 29122, 45977, 2857, 3023, 404, 1885, 3927, 2030, 493, 356, 24508, 463, 411, 599, 199, 279, 2341, 264, 446, 199, 0, 199, 43622, 7074, 5581, 2546, 11268, 2790, 3072, 1523, 447, 14133, 8154, 33410, 2084, 1652, 326, 922, 6284, 54, 199, 2002, 300, 1059, 678, 11952, 995, 319, 474, 389, 603, 23483, 37044, 1954, 2534, 2633, 285, 1684, 821, 32180, 1838, 293, 199, 31787, 49677, 648, 9397, 519, 5663, 930, 8783, 3531, 329, 14046, 655, 314, 1827, 554, 2909, 2089, 3220, 29479, 199, 28833, 16600, 3805, 9413, 1223, 292, 1252, 1276, 278, 2520, 1451, 792, 21750, 3772, 257, 2172, 928, 317, 1822, 19693, 199, 11184, 576, 449, 702, 22125, 24408, 558, 7131, 508, 2963, 1336, 1195, 258, 1237, 314, 5851, 20266, 655, 39752, 977, 199, 1130, 594, 12706, 813, 7713, 781, 36243, 1824, 519, 552, 8742, 675, 4674, 691, 321, 2602, 350, 2942, 333, 606, 318, 199, 12286, 579, 1012, 298, 2976, 5629, 9308, 353, 5069, 4595, 367, 987, 694, 516, 875, 296, 891, 583, 1032, 17059, 199, 406, 39739, 341, 28785, 801, 5029, 1151, 9368, 1202, 358, 788, 49483, 661, 10174, 5612, 1196, 393, 3691, 334, 199, 1078, 1233, 1944, 407, 6579, 1586, 9761, 3365, 18177, 1160, 52, 2229, 10160, 19264, 395, 11119, 2002, 437, 299, 3539, 199, 25562, 437, 554, 279, 13728, 5552, 389, 376, 3658, 391, 1592, 1034, 349, 1475, 39555, 2557, 608, 4740, 483, 5122, 25144, 199, 712, 289, 914, 345, 13253, 2388, 372, 535, 7706, 3759, 18705, 715, 30154, 2142, 1672, 337, 4186, 19649, 623, 568, 199, 23595, 5395, 32737, 7798, 3708, 1264, 804, 433, 10138, 445, 1331, 48, 1995, 368, 2437, 773, 13832, 718, 1726, 312, 512, 199, 11427, 1764, 1255, 442, 1962, 416, 932, 38105, 12094, 498, 337, 910, 813, 444, 999, 4696, 4869, 341, 317, 7601, 199 ]

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

[ 554, 1489, 38125, 1216, 524, 2524, 1261, 897, 2906, 402, 546, 598, 327, 956, 269, 1353, 287, 1365, 12551, 1129, 1364, 45, 199, 339, 1370, 4061, 6846, 46726, 2260, 362, 535, 489, 261, 470, 9851, 780, 26030, 1543, 428, 20542, 3042, 3814, 693, 199, 263, 1060, 878, 7456, 1621, 20962, 949, 1387, 7442, 10055, 9902, 458, 1514, 1196, 330, 994, 15457, 1755, 1759, 199, 3500, 4722, 1709, 396, 6087, 31347, 40822, 21166, 2119, 39455, 2614, 17937, 656, 4748, 9317, 1983, 1304, 199, 51, 385, 3595, 31870, 4055, 364, 8668, 4248, 881, 4981, 716, 739, 356, 22158, 640, 367, 3972, 301, 578, 11613, 199, 2515, 49905, 406, 1252, 2763, 331, 779, 1314, 5545, 387, 762, 1592, 49931, 20320, 1669, 1566, 20942, 779, 199, 762, 959, 259, 199, 0, 199, 1566, 4338, 577, 295, 4351, 585, 13533, 719, 400, 369, 1972, 292, 1397, 12672, 709, 4985, 267, 634, 569, 11554, 1144, 199, 6493, 326, 4828, 560, 1067, 260, 2872, 401, 1253, 405, 37925, 323, 2212, 750, 3677, 316, 4441, 259, 746, 301, 14139, 199, 1139, 360, 999, 264, 712, 14898, 36961, 10986, 972, 482, 14496, 6814, 9737, 16581, 47642, 2666, 702, 486, 49, 199, 38344, 8249, 271, 1710, 2893, 597, 267, 1875, 1279, 2873, 485, 43654, 915, 333, 2609, 420, 423, 395, 849, 1687, 287, 3035, 199, 36, 678, 30323, 3457, 15660, 366, 420, 334, 5711, 625, 397, 1536, 34124, 1274, 371, 2531, 260, 503, 342, 2217, 396, 199, 7766, 601, 10376, 415, 362, 16581, 452, 278, 4201, 1351, 1022, 385, 9336, 14909, 13257, 771, 339, 1404, 356, 384, 2301, 199, 565, 570, 5592, 5735, 337, 1322, 420, 6381, 516, 15738, 28292, 3671, 409, 2812, 259, 1136, 616, 1716, 320, 3074, 199, 6897, 601, 31811, 570, 22143, 15185, 5838, 14495, 2543, 336, 1651, 18657, 20082, 421, 24041, 1159, 317, 4794, 199, 292, 733, 46577, 267, 520, 287, 836, 286, 576, 295, 560, 48, 2955, 635, 437, 20427, 28935, 395, 50196, 21770, 2176, 38, 199, 383, 1569, 40, 1914, 4852, 279, 554, 6679, 13820, 866, 16389, 273, 2525, 1104, 31363, 432, 1207, 411, 385, 505, 4755, 199, 1618, 23464, 952, 23687, 10566, 3494, 3823, 450, 343, 9479, 1417, 35, 1196, 7462, 32933, 368, 3434, 35819, 3349, 199, 4700, 40659, 5773, 10756, 747, 317, 10019, 42166, 478, 35, 1643, 9778, 530, 2194, 1274, 9392, 266, 937, 271, 44795, 199, 42449, 3549, 382, 556, 2130, 36254, 11484, 517, 13306, 2549, 1844, 437, 634, 24619, 413, 20515, 358, 2355, 353, 1843, 199, 1835, 13786, 3043, 269, 1052, 40074, 689, 648, 6591, 1014, 293, 2525, 3606, 1204, 257, 3000, 2093, 283, 8542, 1141, 199, 288, 18775, 623, 341, 4221, 535, 29577, 1184, 1037, 265, 974, 579, 3745, 315, 531, 2106, 414, 2169, 20940, 49307, 45, 199, 8046, 285, 823, 296, 462, 9387, 719, 14701, 540, 503, 467, 13172, 274, 8869, 35896, 685, 556, 6951, 507, 12484, 199, 8155, 2596, 779, 1251, 483, 15980, 3858, 2036, 260, 940, 1856, 394, 1898, 2729, 792, 716, 388, 3339, 2040, 343, 199, 4316, 38684, 28305, 1811, 1695, 5478, 279, 5009, 318, 593, 659, 482, 19312, 448, 13637, 884, 392, 3132, 1532, 199, 1324 ]

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

[ 413, 1380, 286, 1518, 648, 5212, 1012, 3165, 44484, 6294, 379, 853, 14683, 366, 443, 2294, 568, 513, 798, 2347, 199, 51, 9861, 349, 736, 199, 0, 199, 13473, 6098, 639, 1562, 9730, 15267, 494, 382, 4739, 21883, 16699, 689, 655, 374, 4454, 14013, 1062, 906, 453, 199, 347, 44092, 820, 261, 3273, 730, 433, 3650, 593, 414, 11222, 282, 1347, 257, 1958, 4613, 30435, 296, 359, 7378, 650, 199, 444, 7990, 1633, 271, 548, 367, 586, 337, 4221, 35, 1485, 4196, 1475, 381, 1194, 406, 2580, 6765, 1932, 2140, 797, 27466, 199, 327, 525, 6532, 3255, 413, 689, 23563, 1821, 3465, 440, 891, 1473, 417, 1738, 15835, 991, 3398, 268, 1144, 314, 540, 199, 51, 3202, 484, 2663, 36273, 10180, 18069, 1151, 9970, 930, 1627, 43006, 3566, 1262, 1219, 269, 2819, 48627, 953, 199, 1097, 274, 1233, 519, 3520, 2462, 639, 3658, 5808, 268, 617, 355, 8413, 261, 1195, 13111, 357, 17183, 2553, 355, 610, 377, 45, 199, 40850, 1173, 2483, 2196, 33822, 1626, 9180, 2453, 3578, 280, 1190, 346, 560, 1473, 501, 8597, 713, 6239, 3089, 199, 36447, 8501, 423, 670, 329, 940, 347, 700, 1229, 265, 8703, 2113, 285, 2896, 500, 7674, 1951, 43, 3304, 3853, 913, 199, 32448, 1634, 450, 4728, 584, 371, 7994, 9618, 3504, 31289, 322, 11687, 1286, 12598, 18620, 365, 833, 471, 9235, 199, 41750, 3377, 486, 413, 38783, 7821, 297, 1520, 884, 483, 422, 1233, 30861, 3749, 648, 271, 1030, 28123, 396, 403, 7639, 199, 16254, 384, 16530, 12912, 1136, 5522, 1398, 292, 1322, 339, 1483, 37136, 33163, 29161, 16709, 21495, 1282, 690, 5302, 199, 946, 4281, 2417, 526, 1440, 391, 437, 18291, 6439, 1323, 23265, 320, 5654, 260, 484, 690, 3704, 289, 1134, 285, 482, 199, 474, 2871, 721, 4580, 831, 8350, 4671, 286, 4455, 1341, 490, 382, 7078, 470, 917, 384, 568, 21562, 389, 18944, 699, 45, 199, 438, 432, 1307, 45656, 18637, 30499, 5874, 18238, 27384, 1303, 450, 291, 25949, 833, 752, 327, 799, 289, 1542, 422, 54, 199, 496, 1259, 325, 602, 27903, 366, 1537, 405, 403, 15370, 419, 2960, 651, 3123, 1292, 733, 464, 4071, 2155, 527, 2742, 50, 199, 37594, 12710, 435, 46717, 11424, 1160, 33178, 10720, 49, 1791, 344, 7246, 2166, 32866, 378, 2901, 7204, 3121, 50, 199, 3141, 2641, 334, 1424, 330, 858, 29101, 13442, 393, 2066, 22506, 5178, 18368, 1923, 30725, 1594, 331, 2941, 1145, 50, 199, 1528, 16125, 10105, 1438, 331, 1296, 19951, 1970, 11498, 401, 1221, 423, 1351, 282, 1534, 20229, 5369, 18984, 548, 1141, 199, 405, 356, 22191, 560, 481, 8261, 1113, 13524, 410, 433, 12550, 327, 975, 300, 516, 1082, 9254, 2396, 358, 866, 1954, 199, 51, 12693, 8019, 199, 0, 199, 382, 1168, 445, 6722, 1918, 21998, 580, 1126, 453, 6543, 8826, 932, 690, 5033, 279, 462, 525, 2366, 335, 1241, 609, 199, 44, 436, 3036, 5794, 712, 377, 1299, 1213, 8806, 1233, 481, 12049, 279, 1869, 20205, 2335, 427, 24107, 415, 5434, 34470, 199, 46596, 1147, 590, 945, 331, 845, 20564, 442, 630, 2734, 850, 331, 875, 5064, 11518, 807, 565, 14390, 378, 4718, 575, 199, 292, 782, 1994 ]

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

[ 23377, 1526, 348, 384, 454, 4978, 2164, 327, 2196, 378, 981, 319, 1615, 620, 2109, 1879, 1287, 403, 8103, 199, 291, 1873, 626, 257, 1153, 334, 3754, 371, 1451, 9120, 575, 318, 487, 318, 687, 314, 661, 1842, 275, 901, 14925, 4859, 199, 567, 5484, 362, 5040, 3119, 2044, 967, 356, 9006, 284, 472, 716, 530, 1922, 12124, 374, 12048, 1092, 513, 10855, 199, 1346, 15235, 39397, 12329, 416, 21073, 9052, 5413, 46931, 422, 1000, 499, 786, 291, 1162, 10199, 824, 741, 7280, 199, 319, 2736, 382, 1029, 28913, 437, 5919, 1212, 895, 458, 337, 3703, 332, 1475, 26321, 1272, 1185, 470, 371, 519, 1491, 292, 199, 438, 537, 1447, 396, 12446, 1759, 3298, 10980, 24433, 19096, 14830, 801, 739, 25464, 1352, 537, 1590, 1936, 301, 199, 263, 16090, 4367, 314, 1343, 1343, 1320, 47724, 548, 524, 11929, 776, 425, 1420, 964, 364, 392, 636, 497, 9142, 808, 199, 14413, 1096, 17206, 1008, 1767, 2802, 1223, 265, 1407, 398, 4111, 32675, 3400, 382, 866, 324, 996, 501, 330, 5825, 43, 199, 39046, 2039, 437, 28571, 334, 610, 371, 385, 4528, 32736, 809, 433, 12832, 966, 1796, 19435, 970, 12870, 3030, 1308, 199, 284, 1753, 10278, 503, 367, 837, 41129, 286, 1301, 682, 9908, 462, 1598, 610, 492, 26915, 469, 1241, 11327, 729, 410, 199, 1736, 290, 1352, 15299, 1260, 684, 1848, 25173, 1388, 401, 12507, 356, 2343, 1345, 23582, 584, 322, 11940, 1352, 1819, 199, 11052, 17426, 276, 9830, 362, 1015, 8478, 2032, 1000, 1032, 37158, 1013, 327, 1899, 2447, 41886, 282, 1010, 4010, 199, 426, 1131, 915, 1166, 330, 716, 3233, 264, 870, 2393, 380, 10401, 583, 24914, 5858, 874, 523, 48835, 672, 17280, 199, 31317, 762, 258, 9982, 6147, 461, 745, 48884, 1015, 24772, 2440, 667, 5199, 39970, 633, 625, 312, 1164, 319, 199, 621, 933, 8621, 537, 684, 678, 5689, 318, 2394, 9704, 934, 2883, 601, 353, 434, 543, 1210, 1382, 1276, 279, 199, 39, 28003, 1417, 10784, 395, 5192, 5669, 1443, 317, 3360, 3045, 37607, 2065, 340, 435, 1413, 653, 22732, 313, 2822, 199, 3202, 6456, 933, 199, 0, 199, 272, 5894, 41655, 455, 2901, 52, 2580, 347, 1156, 496, 3936, 270, 1637, 354, 2466, 350, 41088, 1718, 263, 1812, 327, 7659, 199, 14818, 739, 289, 2077, 1119, 2415, 273, 1247, 264, 4910, 367, 1032, 266, 495, 9507, 2186, 849, 12248, 732, 673, 1247, 199, 19505, 643, 6862, 1097, 37258, 9957, 1000, 47920, 1530, 357, 584, 1268, 1176, 2445, 4991, 3184, 8449, 40, 1042, 199, 933, 1475, 5243, 500, 5457, 769, 16691, 643, 29794, 399, 453, 453, 453, 453, 453, 1225, 272, 782, 2470, 395, 8179, 479, 199, 42258, 319, 8499, 18843, 959, 604, 9023, 277, 841, 13608, 841, 6849, 7232, 3173, 5773, 21858, 275, 1510, 199, 315, 1886, 2882, 534, 1082, 600, 20525, 47873, 15135, 959, 10777, 4135, 878, 362, 2982, 1203, 501, 3896, 2362, 199, 471, 10155, 13986, 1011, 1869, 7344, 511, 426, 21460, 598, 346, 3608, 5336, 1212, 2684, 13975, 334, 1517, 346, 458, 199, 421, 432, 6674, 39311, 1773, 371, 20859, 291, 630, 259, 988, 12124, 691, 29530, 17240, 3703, 6572, 1062, 29963, 199 ]

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

[ 13531, 886, 584, 715, 2040, 3235, 42577, 334, 537, 1026, 2669, 9979, 1618, 49516, 15727, 2760, 4645, 199, 24076, 375, 522, 49964, 1421, 1655, 551, 4779, 318, 539, 3178, 4550, 651, 400, 20009, 19168, 14849, 17376, 748, 199, 3224, 637, 3561, 688, 279, 5887, 847, 318, 6758, 417, 46785, 1037, 1562, 371, 11837, 353, 1216, 1791, 470, 4201, 2174, 199, 2923, 262, 927, 28803, 20367, 895, 18099, 36174, 713, 364, 3823, 28964, 7844, 1530, 358, 430, 699, 474, 11162, 199, 346, 435, 565, 327, 1694, 6679, 1085, 1220, 3419, 13040, 1615, 951, 270, 6394, 1026, 32544, 1676, 258, 989, 47866, 199, 7311, 2128, 7500, 298, 3074, 1579, 320, 1615, 25121, 1396, 5854, 3125, 5079, 369, 427, 838, 346, 388, 513, 586, 408, 199, 1227, 357, 2386, 33314, 541, 7763, 12849, 1553, 1953, 416, 747, 1318, 10898, 18656, 467, 10407, 449, 1474, 345, 15116, 199, 44, 1192, 1945, 314, 9467, 7545, 350, 1530, 8038, 1388, 7693, 927, 1847, 9290, 3284, 669, 269, 1260, 1732, 1651, 199, 898, 314, 13168, 476, 10197, 332, 531, 8225, 275, 844, 15060, 994, 265, 1827, 8836, 1180, 24331, 2538, 417, 400, 467, 199, 3746, 362, 1659, 31973, 9597, 5950, 697, 4167, 1141, 8436, 2367, 4057, 346, 11646, 5493, 44418, 9494, 199, 12606, 1920, 335, 3803, 606, 284, 30299, 425, 3713, 629, 354, 1587, 794, 3901, 402, 29723, 1577, 337, 2375, 1592, 1315, 424, 199, 275, 1821, 485, 412, 199, 0, 199, 1696, 23611, 3423, 442, 402, 372, 387, 1664, 386, 11915, 345, 653, 280, 2210, 476, 43834, 6691, 397, 757, 849, 5689, 199, 20708, 636, 38991, 2508, 2044, 33721, 777, 388, 1555, 12987, 479, 26760, 987, 466, 2614, 20490, 462, 4292, 2364, 394, 199, 613, 10346, 455, 6557, 12210, 8741, 567, 21732, 18843, 1038, 464, 7750, 274, 16999, 1053, 960, 1738, 10582, 2301, 199, 44, 2542, 1435, 1978, 348, 477, 4853, 31751, 2268, 373, 11577, 16208, 34291, 409, 1406, 294, 647, 853, 899, 27918, 415, 199, 292, 641, 4144, 318, 2251, 367, 531, 42489, 647, 349, 8505, 592, 428, 352, 2776, 1605, 8480, 2331, 439, 1600, 339, 638, 199, 315, 2224, 48039, 1275, 275, 1164, 13224, 9142, 7802, 549, 868, 326, 3125, 9390, 15358, 1591, 46148, 3275, 963, 386, 199, 276, 615, 339, 917, 3640, 1755, 2090, 821, 3480, 277, 12768, 347, 1502, 576, 13015, 387, 1162, 373, 2630, 507, 352, 2590, 38, 199, 382, 1299, 322, 2557, 2407, 314, 2155, 480, 995, 6425, 496, 454, 875, 508, 9298, 2447, 2268, 284, 1697, 959, 344, 28849, 199, 588, 365, 1820, 478, 415, 422, 296, 549, 23491, 347, 437, 378, 2192, 537, 450, 821, 391, 2164, 357, 2269, 13068, 583, 343, 9482, 199, 2077, 588, 13492, 391, 38935, 45896, 666, 518, 394, 2660, 500, 856, 22635, 281, 1702, 276, 968, 5327, 263, 1978, 13654, 199, 24512, 3041, 334, 445, 41075, 429, 975, 421, 25167, 1232, 321, 2474, 327, 662, 2485, 359, 43385, 660, 724, 277, 2107, 377, 199, 463, 875, 11746, 628, 3276, 261, 1226, 697, 475, 31925, 2006, 532, 4361, 1390, 39699, 9819, 519, 5655, 976, 20966, 199, 39, 1953, 529, 6973, 798, 1121, 273, 7332, 837, 1105 ]

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

[ 438, 4462, 431, 401, 381, 1268, 41624, 841, 286, 477, 721, 473, 30112, 199, 819, 463, 9250, 351, 477, 650, 17109, 827, 414, 362, 1427, 11383, 4347, 1459, 2320, 567, 319, 4456, 295, 1591, 1174, 33, 199, 1235, 7764, 36837, 644, 426, 29783, 2335, 29783, 1180, 7057, 513, 1384, 299, 1278, 35589, 8604, 980, 12470, 516, 199, 6306, 7510, 783, 345, 6367, 519, 1804, 387, 1627, 21313, 16568, 279, 1786, 4821, 783, 12433, 24493, 644, 7333, 199, 23685, 1180, 7057, 513, 2335, 29783, 1786, 4821, 783, 37783, 24493, 644, 343, 2000, 8995, 333, 8604, 1180, 362, 199, 290, 513, 2335, 29783, 980, 270, 1567, 12615, 7510, 783, 25798, 1674, 1674, 979, 296, 783, 422, 4821, 783, 36858, 199, 3734, 783, 398, 27576, 1777, 348, 16568, 1777, 28154, 8604, 2508, 295, 3371, 416, 19822, 464, 12127, 477, 4842, 581, 199, 21983, 297, 28927, 199, 0, 199, 1106, 1313, 331, 13024, 1516, 331, 1021, 31048, 897, 33474, 3873, 267, 437, 665, 390, 9842, 22970, 773, 11893, 49175, 199, 315, 1042, 520, 324, 32494, 286, 2749, 384, 1610, 539, 11111, 331, 2832, 766, 9057, 49132, 437, 1105, 14766, 40147, 511, 279, 199, 39, 458, 316, 13288, 532, 2695, 361, 383, 541, 6446, 2931, 367, 29113, 520, 932, 35, 11011, 477, 3839, 515, 3035, 769, 287, 541, 261, 199, 294, 2533, 438, 999, 505, 415, 1193, 402, 539, 30615, 263, 853, 567, 16210, 2744, 2445, 390, 3149, 748, 272, 2418, 346, 32931, 199, 417, 377, 4224, 337, 4574, 8956, 541, 3313, 3266, 266, 49160, 23421, 549, 419, 2241, 1059, 334, 1480, 481, 608, 17734, 4574, 606, 199, 1470, 575, 315, 1273, 1251, 518, 25203, 1017, 2963, 539, 13225, 411, 14015, 266, 2434, 16920, 774, 268, 1607, 648, 1031, 12053, 199, 42523, 514, 437, 1837, 539, 721, 366, 617, 343, 15289, 2779, 392, 756, 294, 552, 317, 445, 3385, 558, 2018, 606, 337, 16735, 829, 297, 199, 37, 583, 28200, 43015, 549, 828, 13211, 2559, 389, 2654, 330, 457, 608, 1173, 773, 21171, 3951, 9478, 35465, 2607, 26695, 199, 338, 437, 474, 1999, 379, 457, 9923, 337, 588, 338, 2873, 16210, 1189, 17965, 1218, 12281, 4455, 10539, 366, 1063, 650, 2725, 301, 199, 419, 2272, 896, 30633, 1325, 1266, 40887, 1608, 452, 3141, 6079, 6746, 2375, 1208, 320, 41479, 14132, 18047, 199, 372, 2276, 1218, 272, 1807, 8979, 23335, 3068, 1096, 257, 611, 287, 956, 47255, 19708, 412, 1014, 9021, 502, 336, 793, 199, 7827, 822, 458, 18017, 4831, 11473, 321, 1044, 15533, 49, 1127, 14593, 322, 1354, 330, 768, 832, 277, 1303, 353, 5667, 199, 1521, 13737, 269, 649, 19691, 2723, 3658, 4381, 316, 2684, 37153, 1000, 520, 32179, 599, 260, 1260, 612, 545, 8881, 199, 36970, 24227, 595, 5856, 824, 43, 1942, 16039, 287, 6995, 288, 25189, 6176, 6518, 425, 1765, 29906, 2298, 18822, 199, 25587, 6687, 273, 1245, 9021, 687, 260, 695, 412, 988, 269, 511, 270, 1533, 292, 1011, 11563, 278, 21905, 18113, 9662, 199, 42470, 17011, 332, 2150, 499, 349, 996, 1870, 1644, 8233, 20663, 547, 372, 11830, 668, 781, 501, 3891, 537, 320, 55, 199, 2240, 3946, 1387, 8091, 858, 19689 ]

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

[ 10823, 538, 267, 2223, 369, 588, 1380, 11873, 545, 544, 3553, 9912, 531, 24056, 199, 28894, 1128, 12521, 8813, 289, 1429, 28084, 700, 1871, 351, 16392, 1420, 465, 16843, 1157, 41023, 1742, 3997, 400, 199, 7341, 15133, 484, 12957, 788, 813, 1013, 356, 615, 451, 905, 14712, 199, 0, 199, 419, 20438, 332, 1417, 1839, 862, 383, 2130, 376, 3638, 392, 445, 1440, 2979, 287, 749, 2051, 7494, 1446, 6647, 1330, 43, 199, 3123, 3550, 301, 606, 274, 634, 479, 9678, 1265, 4832, 351, 506, 5773, 337, 3620, 1847, 443, 3199, 25421, 1179, 7576, 199, 996, 705, 13396, 12037, 1142, 19239, 1480, 455, 1301, 1265, 1962, 395, 1013, 553, 17868, 2273, 315, 1737, 19309, 353, 199, 34322, 1541, 1776, 367, 467, 353, 1067, 532, 8821, 19769, 401, 1813, 947, 335, 1174, 1541, 1776, 367, 467, 323, 1763, 1333, 199, 24817, 38227, 401, 1612, 29174, 21126, 644, 413, 1606, 2083, 7468, 21690, 328, 642, 469, 415, 28471, 12243, 262, 3891, 199, 15863, 24841, 915, 258, 1333, 13325, 777, 290, 1179, 1687, 30161, 3456, 342, 866, 2131, 277, 2753, 17500, 1271, 452, 199, 17857, 3712, 26604, 46, 698, 390, 26647, 387, 1606, 376, 2075, 405, 13513, 338, 8603, 2694, 28471, 272, 1270, 3632, 361, 199, 407, 3152, 529, 783, 346, 382, 7745, 1228, 326, 1179, 1687, 353, 1461, 318, 2740, 23286, 2131, 329, 2753, 1373, 13045, 452, 50, 199, 1292, 33411, 568, 344, 473, 564, 21281, 956, 298, 1944, 26815, 328, 1630, 968, 292, 1769, 445, 13166, 14885, 3681, 7598, 199, 28539, 2683, 8916, 40476, 1262, 6015, 1489, 4026, 2334, 768, 1431, 1725, 319, 1766, 5434, 267, 678, 437, 378, 1991, 48, 199, 1872, 533, 328, 1114, 425, 722, 328, 1574, 28918, 414, 476, 2501, 855, 5522, 1674, 483, 4926, 3134, 293, 4218, 389, 199, 1468, 584, 637, 257, 1239, 273, 2412, 24419, 1122, 364, 809, 31339, 9371, 611, 330, 2377, 794, 17114, 318, 11361, 199, 450, 443, 2601, 779, 289, 1859, 1650, 22132, 446, 333, 869, 2932, 364, 1708, 867, 358, 1536, 961, 484, 31564, 4496, 468, 199, 14696, 674, 505, 6937, 440, 365, 2341, 913, 1151, 292, 965, 1615, 42880, 903, 36, 628, 268, 1708, 288, 891, 2054, 1071, 199, 29852, 911, 396, 813, 8557, 436, 755, 463, 21711, 317, 1817, 2764, 9616, 546, 20206, 22643, 573, 277, 2542, 402, 1907, 199, 492, 32307, 1451, 8995, 490, 288, 1033, 502, 597, 575, 5829, 346, 5887, 26604, 264, 1096, 375, 11094, 5281, 828, 14758, 199, 16953, 4561, 26530, 2307, 33802, 1264, 1514, 346, 519, 6515, 27071, 3392, 2027, 1621, 340, 1127, 451, 1841, 431, 1630, 199, 6119, 671, 346, 13933, 1378, 2601, 493, 32278, 7792, 5616, 547, 26694, 4963, 485, 27914, 31479, 16397, 1641, 456, 199, 374, 2510, 1674, 451, 16834, 929, 2502, 22713, 1013, 277, 11923, 807, 653, 495, 20981, 635, 17634, 984, 8188, 199, 1683, 432, 848, 49, 199, 0, 199, 3805, 22770, 315, 759, 11527, 899, 5602, 2143, 286, 1211, 289, 5651, 30854, 4575, 8841, 10834, 11694, 16570, 199, 413, 5603, 5373, 31919, 1051, 1425, 3514, 417, 338, 7214, 1922, 2119, 371, 23645, 430, 6935, 391, 1011, 1139, 431, 199 ]

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

[ 325, 604, 15427, 762, 13393, 15357, 1271, 15427, 762, 276, 1309, 513, 415, 26355, 29475, 325, 604, 15427, 762, 5195, 199, 39231, 415, 26355, 29475, 325, 604, 15427, 762, 276, 1309, 513, 415, 26355, 29475, 325, 604, 15427, 762, 276, 1309, 513, 199, 415, 26355, 29475, 325, 604, 15427, 762, 276, 1309, 513, 415, 26355, 29475, 325, 604, 15427, 762, 276, 1309, 513, 415, 505, 199, 19542, 431, 325, 604, 15427, 762, 276, 1309, 513, 415, 26355, 29475, 325, 604, 15427, 762, 276, 1309, 513, 415, 26355, 281, 199, 431, 325, 604, 15427, 762, 276, 1309, 513, 415, 26355, 29475, 325, 604, 15427, 762, 276, 1309, 513, 415, 26355, 29475, 325, 199, 604, 15427, 762, 5195, 1062, 650, 804, 29475, 325, 604, 15427, 762, 276, 1309, 513, 415, 26355, 29475, 325, 604, 15427, 199, 762, 276, 1309, 513, 415, 26355, 29475, 325, 604, 15427, 762, 276, 1309, 513, 415, 26355, 29475, 2675, 2110, 341, 2564, 199, 8944, 513, 415, 26355, 29475, 325, 604, 15427, 762, 276, 1309, 513, 415, 26355, 29475, 325, 604, 15427, 762, 276, 1309, 199, 513, 415, 26355, 29475, 325, 604, 15427, 762, 276, 1309, 513, 415, 26355, 29475, 325, 604, 15427, 762, 276, 1309, 513, 415, 199, 26355, 29475, 325, 604, 15427, 762, 276, 1309, 513, 415, 26355, 29475, 325, 604, 15427, 762, 276, 1309, 513, 415, 26355, 199, 29475, 325, 604, 15427, 762, 276, 1309, 513, 415, 26355, 29475, 325, 604, 15427, 762, 276, 1309, 513, 415, 1291, 448, 17742, 199, 1289, 604, 15427, 762, 276, 1309, 513, 415, 26355, 29475, 325, 604, 15427, 762, 276, 1309, 513, 415, 961, 2112, 431, 5378, 199, 585, 45129, 5340, 1309, 42920, 26355, 301, 638, 9463, 2110, 12018, 755, 651, 455, 362, 804, 42703, 10820, 1826, 199, 471, 5340, 1309, 265, 11506, 4615, 400, 549, 604, 29023, 33813, 680, 39231, 415, 26355, 29475, 325, 604, 15427, 327, 199, 13847, 1309, 513, 415, 26355, 29475, 325, 604, 15427, 762, 276, 1309, 513, 415, 26355, 29475, 325, 604, 15427, 762, 5195, 199, 39231, 415, 17761, 330, 1386, 1905, 796, 40632, 1558, 314, 2110, 29693, 680, 15357, 1271, 29475, 282, 35922, 9144, 199, 5340, 36261, 3191, 26355, 29475, 325, 604, 15427, 762, 276, 1309, 513, 415, 26355, 29475, 325, 604, 15427, 762, 276, 199, 8633, 455, 316, 55, 199, 0, 199, 29001, 412, 1566, 467, 17675, 1206, 315, 1206, 2461, 4034, 50, 1104, 22180, 4987, 442, 918, 320, 9679, 473, 30813, 199, 18359, 11909, 440, 460, 624, 352, 1011, 453, 6148, 281, 13451, 413, 2268, 315, 35606, 375, 712, 394, 1208, 1693, 283, 6014, 199, 362, 1663, 273, 615, 453, 1394, 324, 945, 16445, 24318, 678, 4447, 1674, 3416, 2350, 48, 2002, 4012, 28635, 1850, 354, 199, 494, 312, 2702, 9390, 389, 846, 429, 690, 575, 616, 1302, 26854, 805, 23696, 2302, 340, 3419, 389, 1030, 5186, 32131, 199, 4243, 728, 320, 1406, 3779, 587, 283, 599, 425, 885, 826, 9459, 14830, 1113, 418, 433, 18943, 366, 4125, 539, 575, 935, 199, 397, 406, 1117, 388, 11618, 1017, 5712, 445, 19546, 751, 433, 544, 9277, 728, 485, 1623, 828, 320, 953, 289, 509 ]

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

[ 2060, 199, 361, 4930, 559, 1474, 1079, 35175, 1751, 681, 1074, 1085, 20659, 6691, 937, 762, 542, 3309, 464, 6264, 544, 659, 199, 523, 424, 12642, 742, 442, 443, 3074, 395, 14327, 5002, 1477, 11352, 46480, 1650, 400, 629, 400, 2483, 18177, 22014, 199, 2266, 18177, 691, 284, 2415, 6373, 342, 25277, 1438, 325, 777, 9992, 779, 295, 1783, 576, 24134, 915, 12289, 1777, 199, 5584, 406, 14426, 466, 23686, 268, 1332, 338, 5865, 545, 27641, 480, 360, 1050, 35, 1313, 22414, 831, 5449, 28404, 2427, 199, 414, 19027, 3520, 443, 415, 497, 1694, 809, 4361, 788, 431, 7148, 4520, 609, 2162, 286, 802, 283, 537, 5521, 566, 199, 2910, 1392, 681, 5701, 623, 15094, 437, 2916, 372, 1013, 336, 682, 423, 1066, 294, 2525, 379, 4636, 4106, 11972, 199, 657, 558, 12082, 7618, 784, 11123, 341, 980, 320, 415, 1830, 418, 342, 2080, 318, 496, 1849, 1321, 321, 1233, 464, 4392, 40, 199, 16031, 485, 264, 968, 294, 753, 22832, 8312, 628, 268, 537, 494, 1140, 693, 3871, 2210, 346, 693, 35, 1350, 20777, 19591, 199, 2294, 364, 4959, 19195, 396, 348, 755, 417, 4845, 23665, 8480, 827, 602, 266, 1380, 296, 3020, 568, 346, 8316, 3389, 38, 199, 561, 265, 12306, 350, 486, 444, 12240, 437, 1316, 2126, 272, 626, 22523, 998, 3017, 3890, 14916, 1990, 1050, 570, 442, 199, 453, 2215, 1520, 1000, 9711, 1016, 43373, 9454, 897, 5544, 267, 1999, 779, 22154, 748, 33635, 1892, 816, 341, 1490, 199, 456, 1113, 730, 11336, 8448, 657, 274, 6227, 3892, 1768, 4676, 913, 3671, 312, 972, 781, 499, 742, 294, 531, 318, 199, 27655, 6390, 348, 5707, 334, 961, 329, 15862, 1507, 946, 8470, 1803, 582, 3362, 295, 40668, 392, 1156, 3049, 199, 1405, 9259, 279, 199, 0, 199, 19999, 1165, 1561, 403, 521, 12913, 1908, 378, 596, 1389, 1425, 1031, 371, 782, 1665, 342, 14866, 531, 413, 2038, 8268, 199, 31499, 345, 2006, 1667, 1565, 37164, 8729, 2344, 25205, 2268, 444, 317, 1437, 7635, 1200, 616, 4156, 27837, 199, 44, 1338, 369, 11297, 5398, 533, 8741, 5236, 7418, 18906, 1013, 1092, 2677, 388, 600, 721, 8583, 269, 600, 932, 199, 353, 10828, 262, 926, 1364, 1752, 7197, 479, 29566, 10798, 3604, 364, 1593, 16046, 6790, 24750, 7784, 2442, 327, 199, 354, 1094, 16007, 925, 276, 5398, 32641, 391, 6771, 1471, 714, 447, 2040, 40921, 295, 6523, 1759, 270, 1503, 35016, 199, 1268, 14947, 270, 5493, 422, 360, 1760, 522, 413, 1541, 860, 447, 2531, 1517, 929, 7374, 598, 282, 2464, 401, 4567, 46, 199, 548, 28213, 606, 458, 38469, 7530, 905, 474, 2324, 283, 1450, 270, 1953, 3433, 2267, 800, 312, 841, 505, 4705, 440, 199, 334, 1758, 2831, 6634, 652, 4707, 361, 11907, 3511, 1492, 24554, 7922, 652, 509, 45411, 420, 546, 1510, 262, 199, 650, 650, 361, 530, 331, 11106, 800, 312, 841, 3468, 294, 24727, 2249, 2831, 6634, 652, 4707, 1293, 476, 16086, 199, 492, 4271, 488, 7922, 522, 509, 24154, 420, 2327, 7197, 539, 35, 932, 530, 331, 524, 25210, 640, 8293, 371, 35, 815, 199, 8965, 322, 8605, 722, 5464, 1210, 49689, 11057, 1203 ]

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

[ 295, 686, 358, 1832, 596, 685, 410, 11402, 294, 916, 2250, 199, 6570, 22651, 490, 11776, 6330, 1681, 362, 2740, 16739, 771, 292, 1702, 354, 451, 334, 958, 1440, 277, 2472, 11550, 266, 199, 386, 917, 4632, 1525, 340, 499, 39702, 895, 312, 1115, 815, 312, 33573, 1198, 401, 643, 312, 1710, 4707, 8134, 1924, 199, 322, 857, 414, 3155, 4702, 2999, 640, 433, 9401, 14797, 706, 3708, 331, 10897, 287, 610, 2876, 358, 34610, 881, 199, 341, 2405, 2797, 1440, 369, 11139, 4650, 10583, 5771, 7930, 2877, 1211, 267, 778, 5833, 27208, 12052, 610, 266, 199, 2350, 25374, 477, 14455, 668, 10878, 285, 10291, 640, 7779, 383, 14933, 9305, 334, 402, 423, 55, 2119, 272, 1019, 1014, 199, 533, 23820, 2253, 402, 765, 1357, 17187, 17839, 267, 2057, 607, 5453, 413, 5266, 1841, 34538, 1461, 17484, 2108, 199, 1518, 1084, 1167, 932, 3586, 723, 391, 38845, 705, 601, 314, 985, 1140, 345, 867, 581, 341, 423, 1965, 2370, 6241, 199, 1534, 283, 3927, 581, 353, 35318, 781, 893, 1599, 272, 6451, 18099, 479, 289, 396, 9228, 30019, 1439, 414, 10192, 812, 199, 469, 7396, 3177, 199, 0, 199, 1551, 11689, 21197, 2519, 276, 2312, 1601, 798, 293, 43496, 9683, 276, 595, 3327, 4527, 293, 529, 10316, 7413, 199, 493, 4560, 27837, 1110, 2358, 448, 6220, 452, 821, 3379, 44073, 8409, 19708, 555, 3388, 819, 344, 1120, 2049, 199, 2375, 610, 22092, 338, 2027, 17679, 641, 357, 9786, 359, 26019, 26827, 1453, 493, 393, 2150, 1898, 868, 3388, 2187, 57, 199, 953, 1148, 346, 27404, 573, 35443, 2959, 27964, 399, 35190, 30207, 2103, 39060, 24898, 364, 3062, 24240, 1996, 374, 199, 328, 798, 353, 11315, 685, 16662, 320, 24599, 2195, 4447, 272, 578, 393, 24312, 6298, 1941, 1825, 338, 451, 1726, 538, 199, 391, 2027, 444, 9829, 364, 491, 685, 5469, 365, 24328, 4864, 22473, 368, 1779, 2257, 22213, 465, 9024, 13100, 3035, 199, 30049, 411, 3422, 1413, 6229, 270, 2231, 8391, 798, 336, 2003, 476, 12416, 668, 13959, 590, 11007, 1868, 6254, 442, 380, 199, 22983, 459, 806, 364, 585, 404, 757, 300, 20972, 853, 293, 1950, 313, 1453, 391, 16577, 459, 25124, 1395, 338, 926, 17777, 199, 829, 22976, 507, 393, 1510, 1688, 539, 4368, 8019, 12243, 713, 2385, 328, 14220, 7033, 368, 1175, 36, 7413, 18062, 199, 2879, 352, 441, 8592, 3356, 17587, 48730, 359, 2173, 286, 2101, 12074, 11916, 466, 518, 2591, 4560, 4699, 399, 617, 199, 45919, 599, 359, 918, 2049, 297, 3395, 14500, 451, 1149, 3388, 1296, 421, 411, 1667, 5929, 3607, 780, 358, 491, 5618, 199, 2738, 1453, 365, 384, 328, 28505, 1604, 448, 1680, 8741, 2187, 372, 478, 28926, 1575, 3949, 1005, 35473, 1916, 49746, 199, 24747, 35346, 629, 368, 1081, 853, 973, 268, 968, 412, 628, 1007, 42515, 1698, 816, 7397, 15087, 270, 1128, 2959, 320, 199, 766, 42756, 5027, 47976, 920, 629, 372, 1744, 9172, 648, 293, 2139, 979, 1389, 2774, 3472, 538, 34045, 3016, 41, 199, 427, 398, 1016, 367, 1220, 396, 10130, 24310, 4398, 352, 37330, 1461, 381, 497, 442, 381, 4002, 1527, 445, 8603, 330, 16345, 199, 12040, 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 ]

[ 12664, 1631, 399, 1555, 1303, 493, 393, 1263, 352, 7160, 2627, 493, 14184, 464, 18113, 1257, 40626, 476, 2443, 199, 44, 2218, 984, 411, 2661, 293, 31300, 1354, 391, 4529, 18415, 596, 411, 6861, 457, 368, 1353, 1813, 1993, 914, 437, 539, 199, 1877, 276, 10179, 4638, 446, 15023, 2959, 3003, 25958, 4487, 364, 5734, 16832, 10797, 15632, 926, 391, 779, 199, 4629, 442, 953, 445, 559, 20612, 615, 8417, 43871, 9549, 368, 6139, 493, 1761, 44005, 1788, 328, 1680, 28126, 45, 199, 44, 6923, 1100, 57, 199, 0, 199, 408, 4377, 315, 1091, 1784, 294, 36489, 391, 1820, 790, 1336, 542, 435, 402, 3375, 1605, 676, 457, 520, 280, 856, 328, 2009, 199, 1923, 3658, 2819, 474, 4315, 525, 14624, 333, 16144, 16100, 11521, 665, 299, 745, 259, 1850, 3638, 298, 1998, 436, 1315, 199, 450, 6514, 554, 3468, 345, 2107, 1981, 1558, 1959, 337, 589, 2984, 373, 11948, 9442, 360, 741, 3575, 6916, 1027, 33, 199, 501, 1254, 17256, 1147, 14621, 265, 576, 271, 1432, 295, 1542, 348, 2991, 469, 541, 12195, 778, 12523, 49122, 431, 3897, 257, 199, 11335, 846, 5899, 299, 1399, 339, 20396, 694, 4432, 560, 377, 5278, 370, 1139, 14540, 516, 1255, 572, 3282, 1483, 561, 199, 803, 1140, 562, 3742, 402, 17656, 46446, 802, 1019, 295, 6208, 446, 26094, 1774, 3105, 679, 24554, 720, 405, 199, 524, 4231, 272, 872, 9699, 1111, 11136, 478, 19807, 26451, 1388, 355, 632, 1593, 433, 10378, 375, 2539, 27076, 41, 199, 3505, 2100, 1044, 10732, 23996, 2671, 411, 872, 480, 9089, 35904, 1095, 536, 382, 4310, 45, 1124, 20531, 10845, 199, 828, 3496, 1198, 7538, 1195, 288, 21593, 1165, 19515, 27652, 18312, 266, 554, 258, 592, 339, 609, 10715, 5207, 199, 2558, 355, 3858, 1841, 292, 425, 425, 1992, 26677, 657, 1741, 36, 5707, 1232, 385, 10107, 371, 622, 37692, 3268, 590, 46, 199, 7783, 17790, 344, 666, 9203, 698, 8837, 1410, 2535, 368, 19163, 1056, 7426, 697, 558, 23279, 462, 3397, 832, 482, 199, 51, 43665, 4926, 3133, 435, 20818, 361, 2098, 637, 288, 568, 266, 1295, 653, 960, 517, 17370, 837, 1108, 1241, 31712, 199, 14323, 458, 1419, 287, 1983, 367, 281, 570, 369, 1030, 13308, 3670, 12419, 31403, 1947, 510, 872, 377, 34207, 1515, 30742, 199, 16046, 48144, 317, 409, 435, 916, 709, 384, 6665, 11209, 9390, 3373, 1231, 761, 18351, 13044, 6649, 536, 383, 423, 199, 1451, 7001, 2103, 771, 39714, 28789, 419, 5255, 1143, 21207, 419, 2216, 1113, 6226, 1027, 345, 1026, 340, 1901, 260, 199, 5899, 378, 1842, 406, 12997, 259, 1314, 826, 258, 1219, 4001, 283, 1126, 42545, 1064, 2182, 659, 465, 1145, 1751, 36, 199, 10581, 1186, 374, 684, 939, 3237, 878, 367, 599, 5122, 269, 1246, 16336, 1189, 2005, 999, 794, 20729, 12264, 628, 434, 199, 5585, 2135, 40329, 2526, 331, 670, 280, 1544, 406, 470, 958, 301, 1596, 3789, 756, 20170, 1577, 8209, 390, 1169, 11309, 199, 361, 1277, 47973, 12525, 1502, 27342, 318, 602, 4481, 2254, 1151, 346, 547, 526, 8293, 868, 1876, 315, 705, 5346, 199, 51, 1121, 389, 824, 199, 0, 199, 385, 2542, 2942, 1253 ]

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

[ 414, 12123, 27265, 5217, 2049, 1270, 1354, 533, 404, 2284, 1255, 23515, 57, 865, 1549, 1801, 57, 199, 4951, 609, 15710, 6321, 2352, 367, 48318, 528, 393, 2158, 5558, 777, 546, 17868, 2162, 1575, 3266, 425, 342, 5160, 199, 452, 570, 372, 887, 11903, 10388, 4731, 332, 521, 37462, 4462, 2138, 2462, 15023, 491, 445, 2155, 574, 440, 1018, 359, 199, 2805, 266, 433, 5400, 330, 375, 10406, 39483, 10607, 1575, 452, 12492, 12492, 12492, 1956, 1575, 452, 12492, 12492, 41, 199, 391, 1575, 359, 19999, 17369, 684, 567, 547, 15857, 3145, 511, 749, 1026, 459, 389, 1956, 1580, 4693, 381, 5527, 6411, 199, 757, 6699, 299, 878, 1753, 520, 7889, 644, 444, 9681, 7889, 644, 26945, 1270, 2125, 644, 26945, 1270, 2125, 199, 644, 414, 853, 1224, 564, 9528, 49968, 599, 414, 4443, 3601, 2040, 414, 644, 452, 402, 1801, 606, 541, 276, 4226, 596, 199, 21854, 632, 4447, 26367, 321, 476, 6682, 2117, 352, 815, 19413, 41371, 392, 971, 2187, 1831, 1658, 379, 1834, 496, 40, 199, 3365, 21003, 3018, 32344, 1161, 357, 1575, 2091, 458, 445, 853, 317, 1436, 9804, 8590, 6461, 624, 411, 1461, 43632, 199, 28389, 6682, 417, 1214, 364, 662, 293, 762, 853, 617, 417, 10890, 30388, 7173, 427, 39801, 402, 9139, 22730, 364, 555, 199, 41134, 3543, 2516, 359, 606, 13831, 359, 14310, 359, 606, 869, 359, 606, 1029, 359, 606, 1029, 359, 606, 1029, 359, 606, 26980, 199, 359, 14310, 359, 606, 294, 599, 497, 34609, 6663, 3261, 990, 3110, 346, 1198, 346, 917, 521, 738, 263, 1219, 15272, 1719, 199, 33415, 409, 812, 23394, 8293, 338, 2441, 1972, 10970, 337, 30392, 801, 16200, 402, 1435, 428, 2918, 32447, 17962, 199, 3776, 4625, 372, 5471, 14026, 16547, 31267, 2174, 7413, 1270, 363, 831, 352, 2062, 287, 1575, 1927, 11245, 338, 7511, 199, 480, 943, 407, 2042, 15628, 990, 4574, 23023, 359, 419, 26426, 14105, 2194, 35545, 624, 364, 1175, 853, 726, 22407, 199, 953, 391, 781, 533, 541, 20715, 1668, 337, 6120, 364, 3541, 675, 40105, 953, 266, 1774, 1980, 6155, 400, 810, 46, 199, 359, 2942, 3204, 564, 293, 199, 0, 199, 6084, 317, 2763, 6426, 313, 1432, 1251, 41827, 1791, 334, 26341, 2192, 1393, 17081, 13024, 33716, 44574, 45, 199, 44, 3003, 426, 5328, 18019, 31442, 412, 5206, 412, 2370, 474, 670, 10413, 16140, 1110, 615, 395, 24896, 3837, 407, 199, 613, 1898, 344, 407, 1023, 381, 1617, 1170, 11661, 564, 4164, 1464, 257, 7718, 10550, 635, 45877, 259, 33817, 566, 33739, 199, 2851, 848, 261, 927, 851, 16155, 514, 9074, 683, 5185, 1907, 6465, 17517, 1133, 963, 7987, 8803, 2317, 35, 199, 342, 368, 433, 511, 2162, 480, 32924, 14247, 442, 962, 28253, 1219, 3911, 289, 8733, 1151, 352, 2195, 3088, 4184, 575, 199, 988, 283, 617, 27801, 363, 2104, 1340, 15755, 2106, 7279, 617, 7332, 352, 15480, 1101, 293, 3573, 368, 4132, 263, 199, 4190, 338, 2231, 1354, 298, 2714, 18656, 15360, 2646, 1214, 564, 743, 13155, 21097, 2278, 691, 288, 650, 545, 7192, 199, 756, 24038, 9396, 494, 355, 720, 313, 4841, 42002, 3778, 2943, 455, 338, 6594, 987 ]

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

[ 644, 9552, 296, 2514, 4756, 199, 25598, 352, 1000, 726, 32546, 866, 21766, 657, 1128, 462, 1212, 10330, 1263, 17336, 3020, 368, 2891, 1590, 383, 499, 49, 199, 4823, 1193, 578, 11520, 626, 5759, 484, 12038, 316, 2194, 1256, 387, 1175, 470, 35, 2444, 1277, 5714, 394, 5320, 24198, 199, 2231, 617, 675, 432, 330, 6403, 1440, 363, 43229, 491, 3366, 345, 3658, 25813, 13533, 724, 794, 371, 2666, 16569, 5146, 199, 321, 602, 2513, 21180, 1445, 344, 965, 22803, 493, 335, 2578, 1244, 6590, 279, 1460, 349, 1658, 260, 1379, 301, 17051, 41, 199, 693, 470, 21887, 41382, 416, 10293, 20453, 445, 814, 42344, 1872, 385, 400, 390, 18891, 1430, 958, 7096, 2424, 574, 199, 376, 3871, 37469, 1775, 9503, 391, 1084, 518, 279, 1207, 20944, 2808, 1122, 3321, 6271, 478, 547, 2626, 951, 12899, 199, 1742, 2150, 47790, 2470, 387, 19469, 1106, 1857, 29437, 1776, 320, 1276, 279, 803, 24633, 263, 1149, 433, 660, 441, 23867, 199, 44, 660, 584, 529, 369, 1264, 411, 7887, 23493, 5851, 518, 3427, 409, 3340, 22647, 372, 589, 286, 2328, 1107, 1498, 35, 199, 18888, 3245, 343, 519, 4393, 837, 2386, 31119, 1625, 15787, 11547, 381, 28582, 11531, 364, 2073, 385, 868, 6622, 199, 2398, 20428, 656, 1631, 558, 38436, 1856, 8240, 1368, 383, 15012, 287, 1386, 557, 647, 17597, 1742, 961, 1158, 266, 199, 330, 3999, 296, 528, 15117, 10946, 45005, 872, 514, 5770, 1511, 2949, 592, 28561, 1998, 1379, 7108, 388, 654, 412, 199, 5337, 383, 56, 21758, 199, 0, 199, 574, 583, 1016, 715, 396, 539, 12936, 439, 12348, 1301, 5317, 1373, 313, 757, 1935, 1653, 10064, 21790, 1652, 1787, 265, 199, 337, 1226, 3483, 1146, 1212, 8938, 999, 359, 2464, 684, 284, 1131, 3327, 341, 5159, 1814, 425, 5510, 20774, 4013, 199, 364, 9944, 441, 26763, 1423, 6612, 2716, 509, 19422, 492, 31383, 1776, 1744, 265, 2130, 427, 898, 327, 2386, 318, 1988, 199, 44, 19683, 500, 17213, 2053, 1267, 36565, 31670, 1004, 3292, 40643, 817, 11186, 11312, 527, 2499, 342, 1667, 49, 199, 570, 35585, 2056, 342, 1520, 36991, 19493, 3087, 292, 884, 398, 648, 17947, 988, 364, 758, 313, 1265, 492, 337, 9711, 199, 7443, 2253, 434, 8077, 395, 387, 38852, 864, 497, 22855, 653, 378, 27889, 300, 49124, 586, 333, 1307, 396, 1300, 413, 199, 10559, 362, 11190, 8368, 376, 1951, 333, 3453, 32299, 753, 461, 1062, 332, 2836, 2625, 980, 470, 557, 2121, 617, 7944, 199, 43488, 13117, 6486, 338, 22712, 429, 3484, 16456, 407, 459, 477, 16454, 758, 16756, 32420, 10489, 318, 604, 45848, 199, 314, 927, 1750, 2858, 15877, 1774, 318, 10626, 1130, 6149, 471, 8982, 2618, 338, 24455, 22736, 11613, 325, 6275, 199, 350, 1943, 1149, 1092, 21372, 691, 6469, 282, 1943, 321, 8383, 1272, 301, 841, 2053, 513, 332, 10239, 18796, 9820, 199, 51, 14546, 1010, 1943, 1149, 1092, 386, 10239, 282, 1659, 350, 1943, 11255, 23502, 1809, 1328, 321, 1010, 1943, 533, 16764, 199, 37, 21372, 11101, 1312, 350, 1943, 11255, 11038, 1107, 1328, 321, 527, 1943, 2053, 293, 1272, 301, 2763, 11101, 457, 199, 39, 9269, 293, 18955, 6322, 313 ]

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

[ 850, 1943, 5253, 422, 386, 1253, 1852, 334, 1943, 533, 277, 1113, 4267, 27892, 16762, 199, 14563, 519, 18451, 1328, 21538, 14745, 497, 664, 329, 1097, 365, 998, 1010, 19147, 539, 329, 1010, 406, 1000, 684, 10465, 199, 6258, 762, 8307, 550, 1927, 1502, 45, 6384, 8614, 23383, 4557, 412, 4748, 691, 9983, 2964, 12649, 199, 2479, 471, 14915, 978, 1652, 267, 7786, 1512, 3632, 331, 1652, 332, 664, 3309, 38733, 359, 1304, 327, 927, 350, 3883, 199, 5331, 427, 1553, 318, 6258, 37329, 513, 329, 1252, 258, 2882, 578, 396, 1535, 282, 4924, 15507, 40205, 2093, 24638, 199, 329, 1487, 327, 16133, 18414, 359, 6509, 769, 945, 325, 1612, 8535, 471, 3236, 1553, 1300, 483, 343, 1436, 13353, 259, 199, 1220, 1168, 27376, 329, 841, 6565, 38266, 539, 487, 841, 350, 3124, 30125, 29500, 427, 906, 17363, 1988, 20400, 199, 44, 1216, 292, 2238, 199, 0, 199, 375, 866, 733, 34189, 588, 1088, 6636, 415, 503, 532, 453, 1637, 1601, 15133, 258, 1727, 980, 282, 1281, 783, 16130, 199, 444, 10736, 3732, 1493, 406, 1837, 2384, 7923, 1221, 4381, 292, 1545, 49002, 889, 912, 19792, 45077, 1468, 199, 461, 1478, 16130, 2870, 47531, 596, 3592, 497, 7150, 789, 487, 315, 2252, 664, 1741, 49, 1152, 8586, 352, 199, 44, 1432, 717, 282, 3518, 717, 282, 3518, 717, 5922, 469, 974, 537, 844, 999, 1396, 740, 999, 282, 1022, 6970, 199, 323, 3432, 415, 1309, 2071, 281, 839, 11548, 992, 365, 10868, 417, 1192, 287, 1918, 4506, 3968, 2465, 17190, 732, 199, 557, 716, 270, 1267, 462, 363, 1316, 549, 45242, 550, 354, 5318, 450, 3317, 956, 438, 5745, 1341, 264, 569, 3639, 274, 199, 12873, 4540, 5204, 2543, 3428, 771, 288, 1397, 4861, 735, 260, 1889, 281, 1746, 799, 620, 276, 2837, 705, 618, 199, 44, 658, 17669, 1274, 13786, 797, 690, 431, 13303, 538, 341, 924, 2902, 717, 6386, 18791, 949, 47345, 11814, 490, 199, 1581, 1038, 341, 4077, 13409, 1252, 380, 1439, 1637, 277, 1775, 504, 282, 2182, 6616, 1896, 883, 1124, 38123, 1159, 199, 39, 2048, 695, 283, 549, 604, 5799, 689, 10099, 34188, 1489, 622, 16179, 413, 506, 520, 427, 329, 1665, 351, 4220, 298, 199, 31081, 733, 10191, 9608, 429, 3184, 894, 7024, 12608, 9086, 279, 429, 7569, 334, 1865, 1045, 2843, 43254, 199, 46772, 537, 1864, 35, 678, 3294, 1952, 36973, 709, 507, 877, 48590, 1364, 286, 791, 23508, 603, 21673, 28284, 199, 16684, 5574, 478, 14901, 932, 8634, 278, 1207, 2085, 22753, 285, 2440, 377, 7517, 2324, 288, 419, 7295, 9875, 261, 45, 199, 316, 556, 19724, 368, 7344, 2972, 388, 4619, 466, 3828, 369, 10785, 6367, 10741, 7756, 277, 1039, 355, 3021, 57, 199, 3890, 8788, 371, 568, 880, 19793, 7197, 371, 2690, 6397, 3398, 541, 276, 540, 47966, 598, 370, 1923, 36, 947, 3749, 5302, 199, 258, 677, 1479, 392, 927, 2020, 9824, 323, 642, 30566, 8640, 1440, 6633, 1478, 1049, 262, 6207, 320, 2916, 455, 521, 199, 41226, 5458, 8214, 5541, 483, 312, 2060, 333, 3680, 414, 7818, 13316, 4519, 266, 1013, 1403, 199, 0, 199, 419, 3022, 537, 2917, 326 ]

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

[ 1279, 18823, 334, 1089, 13356, 319, 1695, 373, 932, 296, 1565, 1592, 520, 27690, 362, 5957, 33, 199, 3507, 22226, 258, 759, 265, 1805, 1319, 265, 792, 846, 418, 333, 3313, 9771, 28697, 2279, 618, 2324, 446, 5051, 427, 1969, 199, 319, 1512, 12879, 378, 8175, 570, 643, 296, 4611, 748, 322, 400, 2348, 520, 6644, 15084, 888, 1933, 440, 648, 14928, 318, 199, 472, 8871, 1391, 580, 2913, 514, 16597, 8793, 830, 1614, 628, 334, 2662, 494, 6515, 19204, 2298, 25279, 3146, 199, 1537, 263, 2410, 453, 13845, 922, 414, 350, 9755, 7799, 570, 626, 358, 3916, 9823, 330, 2965, 278, 1723, 364, 954, 199, 407, 3030, 7750, 4806, 378, 4954, 2171, 6945, 2004, 4387, 290, 1501, 1444, 358, 2181, 26696, 473, 271, 3048, 288, 199, 32871, 619, 22875, 26041, 1160, 1378, 626, 20249, 9870, 771, 472, 30221, 735, 42306, 15451, 8172, 258, 672, 199, 51, 2362, 24503, 407, 27287, 1992, 282, 1081, 14574, 2092, 842, 40, 3798, 1802, 395, 1134, 6716, 703, 26366, 548, 352, 52, 199, 748, 8392, 6896, 960, 264, 839, 8420, 731, 24386, 8202, 453, 378, 1613, 8891, 977, 7871, 17513, 689, 424, 199, 265, 15785, 28997, 358, 863, 1030, 405, 901, 723, 4028, 19253, 691, 46611, 8212, 27274, 1156, 271, 2037, 736, 424, 199, 501, 4262, 511, 2732, 965, 47227, 614, 286, 543, 388, 18917, 406, 1989, 490, 28114, 312, 1943, 414, 644, 336, 678, 199, 3402, 15250, 648, 31771, 1913, 2448, 273, 1037, 33135, 1409, 602, 6182, 688, 4972, 917, 5664, 7034, 356, 460, 199, 622, 376, 30023, 775, 50239, 268, 559, 339, 10632, 1196, 3312, 24363, 742, 352, 8406, 1473, 360, 6454, 450, 5266, 199, 2109, 351, 462, 14225, 659, 596, 13163, 1134, 47406, 2482, 1591, 471, 422, 1152, 10446, 32133, 474, 367, 1290, 596, 409, 199, 593, 1689, 1573, 421, 33165, 2293, 358, 21205, 714, 296, 1210, 364, 4767, 436, 4194, 23896, 31917, 606, 15789, 55, 199, 735, 313, 1707, 4626, 2126, 523, 5065, 3885, 965, 569, 11130, 40291, 594, 1783, 781, 3109, 280, 9597, 7500, 199, 1881, 26847, 1528, 10966, 633, 756, 261, 2770, 33533, 1940, 1428, 548, 3834, 2069, 21367, 2739, 342, 1972, 399, 45, 199, 686, 1075, 12550, 1568, 8402, 284, 6824, 378, 9288, 43188, 698, 48418, 2896, 37133, 532, 680, 337, 526, 21370, 199, 326, 14633, 382, 1734, 586, 31348, 649, 5659, 1245, 931, 1635, 3305, 290, 580, 3270, 3627, 401, 808, 44261, 1145, 199, 6736, 35, 799, 33, 199, 0, 199, 2878, 313, 790, 386, 690, 261, 3865, 996, 32759, 351, 3963, 7709, 15752, 1257, 497, 8118, 32021, 566, 24098, 354, 199, 468, 2883, 717, 461, 9438, 675, 13036, 2733, 2403, 1236, 984, 690, 283, 803, 4638, 342, 2300, 2303, 368, 5273, 199, 45337, 298, 1500, 339, 3288, 4445, 12479, 16336, 37688, 583, 2012, 4765, 44470, 26758, 1654, 23910, 351, 3423, 199, 831, 15854, 2839, 718, 343, 805, 7281, 619, 390, 752, 4251, 265, 1033, 586, 2395, 972, 991, 463, 2133, 445, 1613, 4938, 199, 1190, 624, 22181, 1819, 16988, 20713, 26195, 1184, 724, 324, 7088, 369, 476, 1483, 314, 1115, 13030, 1232, 285, 26710, 199, 44, 38 ]

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

[ 2742, 295, 1252, 384, 44482, 411, 734, 14945, 2537, 406, 1648, 605, 9013, 21196, 1924, 6312, 334, 2118, 3352, 52, 199, 3945, 341, 450, 396, 3501, 415, 5718, 1114, 433, 32875, 431, 288, 1039, 982, 365, 1763, 6017, 929, 21716, 8236, 33, 199, 432, 21161, 326, 6952, 343, 702, 262, 2062, 6643, 327, 1262, 2518, 7898, 8921, 15172, 7160, 4663, 39371, 398, 199, 6286, 827, 323, 2023, 597, 3484, 532, 547, 2132, 259, 617, 22854, 5152, 2095, 330, 3695, 280, 9903, 2422, 1174, 13122, 199, 292, 490, 15713, 6044, 9975, 3231, 1072, 27447, 38, 1816, 21618, 983, 1655, 523, 261, 1559, 37876, 1051, 541, 39621, 199, 44, 29229, 2184, 573, 3609, 289, 408, 1404, 1580, 610, 11479, 570, 598, 10217, 9395, 517, 10313, 2657, 1998, 520, 19758, 199, 8915, 2739, 16503, 267, 642, 358, 1357, 294, 437, 26920, 2322, 2902, 4199, 2309, 402, 10829, 264, 832, 448, 3548, 1858, 199, 20840, 756, 19955, 591, 290, 1221, 277, 1297, 1203, 461, 5908, 443, 2068, 1562, 4219, 8892, 2909, 24957, 551, 17331, 199, 41124, 2684, 7096, 10905, 614, 349, 1251, 551, 353, 3959, 11570, 473, 327, 2975, 348, 2059, 818, 1165, 599, 395, 37081, 199, 21671, 257, 1681, 29498, 350, 2119, 396, 538, 376, 1329, 3070, 6672, 564, 21536, 1104, 1411, 4592, 20382, 1970, 2120, 422, 199, 2324, 8256, 1677, 713, 352, 436, 4006, 411, 2007, 8754, 325, 13383, 2300, 323, 7780, 1016, 7618, 1643, 1380, 15570, 199, 284, 4525, 474, 2489, 7086, 642, 358, 1357, 300, 437, 15270, 1781, 2902, 37105, 1548, 470, 17524, 11486, 16266, 441, 199, 368, 13254, 617, 416, 386, 17190, 1221, 277, 1297, 5598, 317, 657, 475, 3947, 1562, 295, 742, 4809, 2909, 24957, 1206, 199, 380, 18799, 3324, 49585, 21629, 597, 12432, 5777, 398, 3161, 11570, 31296, 4172, 323, 2084, 25528, 353, 529, 45917, 199, 25289, 1780, 54, 199, 0, 199, 1266, 9876, 396, 30296, 265, 28013, 588, 4070, 22539, 1327, 1071, 487, 6203, 953, 430, 7108, 42699, 1535, 275, 199, 2170, 32131, 598, 11982, 2352, 2195, 2330, 1621, 9782, 834, 333, 10543, 1063, 1597, 3185, 686, 6610, 678, 14100, 199, 11781, 1013, 396, 20737, 420, 1979, 663, 1861, 2707, 290, 797, 562, 3306, 285, 1557, 532, 3154, 318, 3149, 362, 31511, 199, 30306, 829, 403, 24914, 351, 992, 20826, 1300, 438, 2091, 23950, 2512, 466, 6292, 558, 367, 1394, 4537, 352, 983, 362, 199, 471, 29024, 8254, 320, 1882, 447, 489, 1416, 610, 350, 1369, 2299, 2450, 794, 25271, 380, 6080, 360, 412, 2831, 17933, 199, 21202, 341, 917, 264, 429, 4617, 1693, 1704, 356, 2473, 32941, 918, 1499, 52, 1914, 284, 689, 366, 12118, 279, 5269, 5115, 199, 561, 2615, 11454, 1655, 1614, 2863, 332, 478, 5930, 22780, 354, 1744, 57, 882, 345, 1171, 981, 43834, 382, 1218, 406, 12248, 199, 1026, 1637, 437, 1848, 7778, 659, 324, 11111, 467, 584, 632, 3961, 2649, 12949, 1537, 20202, 355, 575, 336, 33693, 458, 199, 1508, 259, 1790, 11351, 370, 23389, 671, 611, 340, 485, 447, 14149, 30059, 317, 2347, 18152, 1321, 286, 1530, 1195, 485, 199, 507, 498, 566, 4483, 1566, 266, 1195, 13707, 326, 568, 368 ]

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

[ 447, 1261, 1506, 520, 8255, 1532, 293, 474, 291, 2757, 20014, 33, 199, 534, 16472, 335, 1097, 369, 13989, 760, 1488, 297, 2856, 374, 1234, 28768, 1740, 324, 13968, 27419, 15267, 418, 18284, 199, 332, 886, 4910, 32132, 1639, 282, 980, 277, 1687, 7859, 1220, 886, 286, 14991, 814, 448, 38064, 2452, 17343, 33, 199, 44, 28799, 3354, 268, 1429, 287, 524, 17734, 6997, 541, 37027, 3116, 327, 868, 11841, 533, 437, 6488, 49, 1504, 6744, 1144, 199, 9139, 4000, 47885, 4337, 259, 977, 5400, 262, 1570, 445, 433, 421, 1414, 2095, 458, 1640, 482, 7691, 4737, 262, 1264, 199, 2260, 22450, 458, 446, 588, 484, 710, 7825, 1198, 2937, 391, 1051, 3749, 412, 2211, 401, 8043, 47772, 465, 1919, 649, 57, 199, 7822, 685, 359, 419, 1755, 1214, 31400, 1028, 6501, 333, 709, 397, 4901, 392, 1890, 12594, 491, 199, 0, 199, 382, 31078, 360, 3574, 1677, 5061, 28608, 855, 1069, 375, 40819, 6265, 2047, 4101, 500, 10880, 1762, 280, 530, 48, 199, 448, 1744, 257, 8626, 463, 441, 321, 651, 405, 692, 1140, 10736, 281, 10034, 736, 695, 297, 13835, 822, 1411, 352, 1017, 199, 2237, 37341, 1061, 265, 2169, 2403, 1277, 349, 1348, 1365, 634, 2546, 7111, 1069, 40938, 46744, 271, 1524, 8186, 199, 6406, 2340, 510, 4818, 1611, 329, 16597, 1771, 1205, 484, 4042, 348, 513, 6406, 421, 4004, 349, 2088, 398, 535, 199, 14492, 314, 1920, 46624, 348, 855, 296, 4818, 1095, 296, 43860, 14097, 493, 510, 375, 445, 49, 950, 393, 2426, 15830, 3336, 199, 38185, 513, 366, 486, 2937, 261, 2152, 396, 1469, 1521, 287, 2543, 349, 1871, 1117, 11529, 1276, 1932, 286, 1926, 2252, 285, 199, 2726, 260, 35087, 3694, 9432, 1638, 1500, 7896, 7278, 1112, 46, 828, 337, 1699, 17598, 2155, 394, 6679, 1424, 43, 199, 1167, 1008, 423, 2025, 44062, 27222, 1853, 43137, 1316, 3295, 646, 3626, 289, 1143, 377, 5192, 6825, 863, 1252, 33, 199, 23663, 735, 5921, 23113, 895, 6864, 380, 381, 434, 628, 284, 1382, 2038, 1095, 1095, 630, 510, 1095, 356, 5061, 348, 199, 462, 15366, 824, 21444, 427, 824, 510, 1095, 11879, 312, 1318, 45653, 995, 6654, 347, 4926, 268, 568, 8279, 11919, 199, 365, 14610, 352, 775, 797, 29472, 6357, 23216, 421, 1170, 398, 10024, 555, 8715, 1077, 340, 1283, 2982, 11559, 36605, 199, 420, 17479, 7931, 761, 282, 4421, 266, 1423, 27687, 1750, 369, 3420, 1148, 355, 564, 8634, 280, 2463, 5449, 23313, 199, 456, 6258, 856, 263, 1016, 361, 910, 358, 1092, 440, 849, 16239, 615, 283, 7906, 301, 1619, 1213, 4490, 509, 422, 2863, 199, 3103, 435, 2778, 3802, 5321, 31876, 1751, 706, 382, 2751, 335, 1034, 42696, 895, 654, 43478, 21496, 1022, 14486, 199, 5355, 1654, 7060, 19096, 22280, 16729, 1475, 26576, 661, 2624, 501, 412, 750, 314, 3343, 458, 287, 623, 25744, 199, 960, 3315, 3271, 34013, 318, 2041, 6713, 7480, 360, 1631, 358, 14418, 274, 16238, 2292, 265, 1005, 13777, 1252, 28523, 199, 18077, 496, 9324, 7375, 448, 2702, 766, 298, 2095, 43684, 6544, 858, 13677, 324, 468, 1897, 446, 301, 2331, 14242, 392, 199, 274, 2216, 718, 358, 5452 ]

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

[ 2368, 265, 2453, 719, 7335, 2703, 415, 3837, 6985, 495, 6707, 2755, 6907, 29438, 199, 1315, 4149, 489, 354, 617, 751, 638, 385, 1145, 55, 688, 40571, 33297, 1054, 812, 13395, 283, 3332, 10345, 1260, 386, 199, 41509, 19276, 491, 199, 0, 199, 5904, 14323, 8181, 1449, 608, 43972, 478, 20255, 29624, 576, 326, 5560, 294, 5947, 16700, 42502, 7050, 1619, 350, 199, 334, 1693, 897, 344, 1318, 729, 26949, 666, 1828, 633, 3754, 420, 330, 3724, 7233, 2412, 1768, 5485, 467, 10098, 199, 16557, 1613, 384, 40462, 3803, 628, 10512, 369, 787, 293, 551, 277, 1203, 1857, 4296, 12584, 41807, 3895, 288, 5014, 199, 14562, 2033, 273, 32833, 698, 507, 392, 674, 11163, 14567, 343, 1316, 440, 294, 1010, 403, 22374, 505, 2565, 261, 1843, 199, 1436, 350, 637, 3423, 711, 736, 49054, 1925, 261, 741, 355, 3731, 411, 971, 390, 764, 422, 1576, 911, 344, 8187, 36631, 199, 46585, 4097, 38, 2444, 28122, 2149, 411, 485, 10236, 357, 27927, 455, 35710, 8871, 320, 39628, 1336, 6184, 362, 2301, 199, 325, 700, 2464, 292, 1985, 641, 332, 1678, 6869, 382, 593, 358, 411, 1828, 21130, 2027, 37104, 263, 3540, 32096, 501, 54, 199, 6520, 545, 2254, 17590, 2493, 287, 11836, 2684, 25926, 3192, 5838, 913, 3436, 625, 16799, 19115, 1157, 475, 199, 360, 432, 560, 486, 2242, 291, 6497, 2488, 393, 42384, 2142, 432, 1921, 272, 1357, 401, 2497, 691, 449, 3376, 281, 6164, 199, 14413, 1276, 1976, 713, 588, 434, 1136, 18584, 3907, 7934, 386, 921, 48568, 3136, 530, 13680, 539, 9064, 1524, 52, 199, 438, 8225, 621, 415, 415, 595, 418, 871, 450, 373, 2141, 4212, 879, 388, 7105, 26490, 769, 3874, 7298, 2914, 691, 199, 2116, 5885, 9929, 587, 3723, 557, 379, 16728, 1954, 8426, 1384, 318, 1587, 416, 4571, 432, 7009, 299, 537, 14075, 199, 1235, 1050, 751, 367, 7394, 672, 4988, 621, 312, 11402, 358, 1177, 1387, 696, 33356, 10464, 6089, 379, 324, 4800, 43, 199, 280, 382, 13208, 371, 5889, 474, 537, 916, 4837, 708, 7276, 575, 2346, 6325, 1449, 400, 1164, 440, 5413, 360, 14996, 199, 14169, 18092, 430, 2971, 767, 1378, 36204, 3925, 269, 636, 891, 412, 1493, 10604, 408, 2003, 439, 339, 596, 283, 3017, 199, 410, 30072, 498, 274, 1092, 501, 16666, 10435, 354, 928, 531, 356, 516, 835, 368, 3588, 1347, 2536, 899, 1844, 20802, 199, 6913, 358, 1382, 382, 974, 432, 4335, 1440, 14486, 911, 989, 2605, 334, 11024, 266, 1142, 444, 923, 6097, 4607, 199, 348, 3495, 537, 6266, 2229, 21991, 2277, 7418, 8039, 5406, 2053, 299, 2071, 2149, 10351, 340, 1155, 45611, 482, 199, 428, 312, 9563, 5370, 290, 652, 505, 15362, 365, 954, 424, 1524, 45433, 4219, 1603, 32857, 10878, 438, 288, 199, 2298, 24756, 544, 199, 0, 199, 563, 1611, 8873, 2661, 12804, 427, 360, 11113, 15025, 1710, 11258, 33706, 1684, 28111, 323, 17881, 1575, 3736, 49, 199, 567, 378, 13481, 3620, 38, 1183, 2008, 872, 2722, 345, 25471, 6204, 466, 1226, 1750, 399, 2354, 30854, 616, 1496, 476, 199, 634, 338, 5958, 13907, 1582, 19402, 24396, 1956, 380, 7623, 766, 44776, 1185, 1606, 426 ]

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

[ 4968, 1124, 268, 538, 288, 199, 20513, 13776, 529, 15846, 546, 2999, 358, 544, 7971, 331, 1125, 1415, 912, 1622, 1414, 357, 681, 31774, 28980, 7155, 199, 2103, 21112, 382, 9988, 291, 3226, 468, 628, 337, 497, 12328, 1282, 28576, 2249, 499, 1878, 26229, 6251, 317, 918, 54, 199, 657, 1291, 343, 1137, 393, 4120, 577, 273, 1159, 287, 951, 457, 1548, 362, 703, 355, 360, 17771, 337, 2753, 2789, 28881, 2768, 199, 352, 2315, 277, 2395, 8201, 6066, 1282, 39460, 4266, 975, 2879, 949, 1217, 1188, 5004, 1358, 4809, 423, 942, 6354, 199, 16250, 2524, 400, 445, 976, 270, 920, 351, 12176, 610, 423, 752, 2405, 1175, 6666, 457, 920, 1673, 1531, 1959, 1265, 270, 199, 24754, 263, 1114, 507, 43149, 2454, 263, 1522, 297, 12679, 1248, 1222, 961, 16888, 30674, 1269, 6952, 1634, 262, 8395, 199, 41, 1183, 463, 1726, 25678, 590, 495, 620, 625, 48000, 5631, 11785, 1248, 444, 7047, 262, 1044, 289, 926, 345, 406, 2792, 199, 632, 781, 5051, 316, 1956, 7932, 10288, 270, 925, 14706, 1148, 27061, 28096, 1903, 37134, 334, 18528, 345, 1059, 263, 199, 538, 675, 2052, 359, 465, 11508, 279, 2722, 1258, 649, 313, 1097, 815, 14928, 761, 1140, 586, 5988, 8969, 34367, 41, 199, 4089, 868, 35660, 17016, 1967, 6899, 321, 8111, 35, 917, 4480, 287, 713, 337, 1249, 298, 38431, 2248, 798, 416, 199, 265, 485, 413, 384, 18656, 376, 38629, 19018, 7443, 515, 17416, 2025, 24714, 24071, 992, 1299, 1340, 721, 399, 344, 508, 199, 410, 1349, 336, 29231, 531, 359, 282, 768, 7380, 363, 385, 2832, 15856, 4209, 425, 796, 21149, 922, 40, 1922, 17555, 54, 199, 328, 726, 44939, 1529, 13194, 1083, 499, 1051, 42315, 3256, 521, 49695, 1332, 1497, 17603, 1365, 1223, 418, 10722, 563, 199, 1531, 2023, 4841, 413, 427, 965, 4671, 877, 343, 6166, 21864, 5102, 281, 1395, 1125, 335, 442, 21763, 486, 24917, 199, 44, 1471, 28880, 27170, 1534, 331, 1762, 498, 42257, 5468, 402, 1453, 529, 21629, 434, 6499, 2670, 298, 14629, 493, 199, 626, 7493, 511, 1814, 289, 17973, 23050, 4616, 42568, 983, 455, 11390, 860, 27238, 1300, 396, 2733, 8759, 893, 49, 199, 419, 17334, 832, 199, 0, 199, 2577, 2140, 421, 396, 47707, 18045, 3084, 276, 7691, 815, 13731, 1970, 10916, 12472, 343, 1901, 2640, 359, 1391, 6456, 199, 15865, 422, 439, 706, 1470, 28787, 667, 402, 1610, 354, 756, 414, 2397, 454, 2726, 9404, 452, 282, 34594, 1755, 328, 620, 476, 199, 2690, 825, 626, 55, 2064, 455, 695, 20249, 2547, 327, 878, 2488, 606, 287, 1387, 49, 1396, 318, 366, 3032, 391, 1179, 574, 477, 199, 15896, 585, 517, 284, 537, 803, 5350, 699, 352, 28415, 660, 2173, 339, 716, 496, 11657, 18410, 451, 432, 1076, 38579, 199, 456, 648, 13168, 822, 9857, 43452, 883, 437, 23410, 1423, 329, 4172, 300, 412, 4877, 20218, 9857, 3410, 4934, 25876, 199, 581, 598, 367, 1185, 18688, 470, 337, 1803, 3119, 10683, 5293, 1009, 40491, 4440, 751, 437, 695, 335, 17428, 4699, 49, 199, 12540, 452, 2563, 616, 349, 2484, 13392, 286, 638, 396, 356, 9372, 31040, 344, 393, 17402, 574 ]

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

[ 316, 675, 725, 421, 7356, 199, 11851, 320, 1140, 281, 28158, 2156, 14952, 15344, 1298, 295, 1992, 518, 681, 1615, 369, 513, 5235, 1498, 1222, 10295, 464, 199, 5644, 15940, 688, 557, 464, 349, 21685, 1414, 1444, 349, 1444, 451, 26602, 372, 49653, 380, 1043, 47443, 412, 2367, 343, 199, 1013, 333, 1807, 387, 2387, 716, 1234, 13963, 2358, 858, 5348, 278, 8755, 346, 16445, 515, 419, 627, 344, 514, 5532, 199, 406, 12309, 19076, 1390, 2733, 396, 3579, 815, 760, 347, 4903, 407, 451, 16276, 863, 3702, 359, 30007, 455, 320, 1407, 199, 390, 21377, 790, 317, 2670, 364, 47021, 446, 316, 411, 1806, 2669, 387, 1858, 19867, 31088, 1514, 267, 3335, 1075, 272, 199, 25085, 20299, 442, 1933, 3004, 405, 582, 337, 763, 9830, 2063, 510, 1161, 539, 22980, 9055, 5567, 1210, 24291, 199, 5141, 1682, 18768, 13689, 1338, 327, 1268, 29705, 1442, 289, 937, 21064, 2425, 276, 799, 518, 331, 402, 2778, 968, 399, 199, 466, 13862, 891, 31119, 365, 22310, 441, 6771, 363, 3005, 1232, 18309, 391, 554, 381, 1774, 466, 2387, 1769, 2851, 294, 199, 946, 443, 549, 1289, 332, 518, 366, 7648, 269, 3286, 381, 10804, 21127, 403, 2158, 506, 25858, 10335, 4360, 520, 401, 6461, 199, 1368, 285, 812, 3769, 1925, 1211, 6129, 411, 2963, 1232, 42344, 2118, 585, 353, 4002, 17977, 714, 377, 546, 406, 29207, 199, 44, 1133, 10974, 2405, 6539, 5004, 31908, 18503, 529, 349, 37176, 451, 389, 2321, 22398, 1990, 276, 10393, 1183, 328, 199, 351, 7411, 1664, 49396, 2231, 7215, 609, 17920, 16628, 1189, 346, 648, 812, 402, 18948, 2118, 633, 352, 5717, 476, 199, 393, 919, 15381, 199, 0, 199, 1271, 14989, 2938, 487, 1407, 412, 3839, 3560, 46, 1079, 652, 291, 2071, 415, 588, 1277, 446, 1553, 33366, 49482, 2309, 199, 703, 348, 617, 350, 2492, 1469, 35, 1389, 593, 17868, 43823, 1002, 623, 41559, 491, 29969, 880, 38393, 1444, 324, 6620, 199, 18584, 571, 600, 322, 5247, 27952, 37282, 286, 1089, 694, 447, 1150, 6469, 37649, 27980, 9726, 13126, 1693, 332, 199, 44, 24237, 5784, 702, 2320, 488, 415, 19643, 34444, 535, 1908, 19017, 32217, 2038, 1244, 411, 890, 588, 13774, 2354, 199, 12280, 588, 658, 494, 3074, 763, 34176, 1489, 312, 3137, 4818, 2956, 4094, 379, 4956, 836, 2371, 14800, 49393, 199, 981, 699, 10827, 6454, 1198, 1550, 23162, 11106, 476, 5687, 499, 396, 724, 334, 28948, 9746, 1336, 756, 12747, 54, 199, 1556, 260, 2291, 16495, 268, 727, 316, 520, 279, 4850, 490, 16581, 664, 326, 2779, 262, 3306, 2461, 840, 1161, 2136, 322, 199, 289, 12959, 525, 6137, 1365, 375, 37318, 2929, 6813, 321, 1294, 5983, 6989, 11217, 954, 410, 606, 13303, 742, 460, 199, 354, 11247, 2973, 1958, 393, 1899, 748, 667, 2831, 1289, 32725, 40685, 2398, 588, 559, 517, 2581, 1267, 39900, 381, 199, 397, 1455, 9244, 815, 363, 545, 25374, 446, 17354, 591, 383, 1082, 5676, 846, 394, 1811, 485, 450, 271, 30222, 5670, 199, 519, 1441, 23128, 1078, 595, 301, 893, 2127, 300, 499, 6055, 433, 858, 266, 1428, 24726, 1442, 373, 3226, 552, 11511, 41, 199, 428, 322, 1005 ]

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

[ 11543, 657, 358, 3098, 419, 800, 30934, 4618, 3772, 2955, 957, 710, 592, 18444, 1760, 1633, 1334, 57, 199, 388, 440, 1106, 371, 694, 13260, 761, 428, 317, 533, 1275, 273, 1205, 33855, 49988, 1023, 24183, 1250, 31859, 908, 7490, 199, 13781, 1382, 444, 5956, 37945, 500, 4529, 3969, 22792, 1081, 580, 5971, 697, 391, 1436, 12804, 8506, 1071, 54, 199, 274, 644, 428, 538, 429, 995, 376, 453, 490, 19585, 381, 3603, 1368, 601, 324, 1496, 3880, 49217, 631, 317, 658, 42543, 199, 15728, 1401, 507, 1497, 292, 1490, 264, 19645, 577, 1012, 42546, 524, 950, 517, 492, 6399, 28659, 1465, 1383, 1885, 348, 199, 8369, 751, 7739, 1838, 22502, 619, 281, 696, 23646, 875, 40256, 696, 451, 623, 619, 6391, 403, 1234, 271, 1212, 199, 36, 578, 1050, 12445, 329, 4113, 3141, 6773, 869, 1050, 5015, 11456, 1017, 265, 1031, 3873, 18615, 11675, 41, 199, 849, 14273, 1209, 358, 602, 1886, 680, 828, 6828, 644, 286, 1338, 35377, 315, 400, 7733, 417, 12359, 3542, 199, 26498, 7111, 755, 199, 0, 199, 852, 2779, 410, 5613, 1362, 46325, 351, 471, 729, 20443, 27465, 3715, 2129, 40957, 46401, 382, 812, 269, 1256, 40, 199, 516, 388, 6067, 524, 17991, 918, 521, 374, 9498, 1294, 1300, 296, 6163, 20421, 326, 432, 732, 1241, 294, 3139, 1256, 33, 199, 5323, 676, 1141, 351, 1527, 2999, 1691, 1724, 2243, 262, 26193, 1332, 503, 378, 935, 440, 817, 263, 1770, 345, 666, 199, 568, 6860, 46687, 776, 1524, 1983, 29101, 523, 1079, 299, 908, 2706, 2102, 3880, 688, 400, 3668, 2452, 1258, 199, 2494, 4919, 786, 13126, 16528, 556, 370, 5209, 1011, 295, 981, 295, 436, 4366, 8367, 733, 10029, 26741, 650, 199, 5142, 6881, 2362, 42079, 1222, 36035, 5920, 4395, 551, 1182, 358, 28941, 747, 923, 487, 1443, 1838, 3288, 33, 199, 40603, 1620, 327, 4587, 27691, 460, 3641, 261, 888, 4713, 1067, 50, 1141, 9504, 833, 12068, 265, 718, 1065, 8711, 199, 449, 55, 1012, 692, 1645, 11393, 332, 2880, 295, 1201, 312, 691, 8036, 19342, 619, 5619, 57, 1402, 281, 645, 24096, 199, 49581, 7637, 10201, 1201, 3200, 358, 992, 395, 547, 5799, 258, 1895, 941, 412, 2135, 345, 37645, 619, 281, 817, 966, 199, 867, 1449, 280, 17479, 867, 428, 1578, 1365, 6288, 778, 1098, 265, 547, 6929, 346, 541, 7725, 573, 2061, 275, 1412, 389, 199, 7419, 1338, 2362, 14935, 1072, 313, 1194, 2198, 1795, 12544, 925, 630, 14391, 619, 295, 1037, 393, 1844, 318, 652, 49, 199, 2930, 418, 12839, 40520, 22413, 9481, 15057, 12034, 533, 269, 2462, 10639, 982, 2305, 786, 269, 439, 7468, 544, 199, 20515, 340, 1412, 40712, 940, 296, 1015, 31900, 783, 334, 1503, 7300, 31900, 926, 269, 31420, 341, 8810, 1146, 199, 1977, 7977, 10593, 390, 1896, 381, 1413, 17269, 738, 20765, 576, 274, 2650, 31997, 2902, 1824, 10280, 366, 1468, 496, 49, 199, 274, 2866, 334, 3815, 21094, 1224, 27321, 260, 2777, 11902, 521, 2090, 259, 2399, 1320, 996, 335, 822, 340, 35492, 199, 280, 1895, 340, 609, 1570, 531, 10419, 2384, 438, 326, 2003, 565, 526, 12490, 1162, 4929, 3104, 295, 5213, 2766 ]

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

[ 50, 199, 26798, 343, 1200, 1600, 442, 1299, 392, 721, 301, 1397, 33522, 726, 473, 15280, 1066, 1031, 1650, 320, 1828, 8103, 1522, 43, 199, 983, 33301, 478, 15201, 331, 690, 378, 2463, 277, 2856, 665, 288, 871, 11246, 341, 581, 11023, 941, 19966, 4575, 199, 268, 575, 36706, 272, 1310, 426, 398, 1172, 1363, 1225, 317, 4605, 693, 549, 6740, 862, 6923, 392, 1406, 332, 528, 705, 33, 199, 376, 435, 1345, 283, 199, 0, 199, 2218, 324, 2799, 19011, 26024, 1018, 6004, 328, 2363, 328, 736, 341, 2657, 1925, 338, 1357, 473, 1183, 9046, 3468, 1260, 199, 51, 16448, 24403, 272, 44304, 27611, 510, 300, 1539, 15538, 15567, 559, 473, 1502, 16254, 20213, 1268, 1065, 20627, 199, 1945, 18674, 6417, 1471, 416, 427, 18838, 740, 337, 2220, 12408, 1314, 9847, 1549, 29749, 1878, 26307, 359, 1628, 199, 270, 14407, 8058, 8509, 800, 33288, 2429, 313, 10561, 29343, 27166, 8021, 2700, 2975, 539, 315, 624, 13582, 365, 812, 199, 1405, 3418, 922, 477, 3865, 773, 1705, 330, 21328, 667, 9478, 380, 4504, 25171, 459, 6859, 291, 1964, 1458, 276, 1988, 199, 1634, 32151, 602, 329, 1121, 621, 283, 6488, 438, 1219, 35698, 2573, 266, 34405, 697, 480, 283, 4648, 365, 3336, 451, 52, 199, 261, 12600, 448, 19207, 792, 1962, 4700, 31167, 25495, 266, 503, 387, 425, 342, 6423, 711, 17816, 1211, 6904, 6934, 199, 1665, 3882, 953, 10100, 759, 323, 959, 381, 1592, 21616, 896, 367, 1534, 28694, 1236, 38105, 3276, 34529, 515, 199, 44, 2226, 49680, 2073, 4630, 1649, 345, 36314, 756, 289, 2366, 21183, 2001, 559, 283, 672, 353, 680, 2448, 22179, 275, 199, 13781, 1131, 336, 41037, 1821, 338, 45452, 396, 1178, 15967, 5509, 393, 2305, 43357, 1478, 293, 2157, 1255, 345, 1343, 434, 199, 44, 1331, 403, 17452, 344, 1318, 454, 6690, 1800, 270, 1435, 1023, 35047, 10549, 448, 341, 8483, 651, 3654, 387, 3625, 199, 330, 508, 18102, 25271, 345, 2142, 383, 956, 800, 383, 2497, 287, 1269, 257, 1086, 2143, 1319, 37183, 1854, 404, 826, 524, 199, 1202, 6645, 313, 557, 387, 566, 21745, 1426, 316, 3395, 283, 1432, 280, 766, 1312, 1294, 2633, 272, 1560, 18500, 1427, 43, 199, 44, 2945, 30435, 17410, 961, 825, 282, 749, 258, 1107, 341, 588, 435, 38, 1625, 6745, 817, 22440, 838, 317, 918, 32791, 35, 199, 897, 2464, 293, 2608, 415, 371, 2884, 402, 17503, 332, 22189, 709, 2464, 1514, 632, 2888, 455, 668, 366, 1734, 361, 1700, 199, 383, 1001, 1500, 364, 1930, 276, 457, 1851, 4911, 14416, 377, 1730, 18133, 463, 470, 22015, 1563, 2157, 11297, 385, 5536, 199, 1519, 2445, 276, 904, 332, 918, 13114, 402, 3505, 48314, 1388, 548, 1269, 352, 657, 906, 11971, 1415, 10240, 13535, 199, 288, 647, 531, 8339, 1516, 12153, 1450, 443, 2445, 327, 1353, 1186, 396, 17074, 1517, 17610, 338, 8134, 531, 441, 1883, 199, 21758, 15033, 283, 482, 13584, 1711, 1078, 36, 4277, 655, 268, 1933, 45971, 10331, 358, 1458, 25093, 1310, 267, 1110, 1621, 199, 576, 14146, 1787, 199, 0, 199, 2260, 405, 1859, 1523, 1588, 17893, 1842, 1217, 1186, 402, 2257, 2402, 514, 5530 ]

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

[ 457, 2699, 24567, 20145, 486, 371, 45, 199, 28831, 8565, 332, 820, 16822, 2915, 263, 1572, 13092, 2529, 3808, 346, 2110, 492, 2357, 2340, 2446, 2063, 778, 293, 199, 12840, 26184, 5412, 25954, 517, 2269, 1615, 3816, 773, 860, 327, 8000, 456, 8571, 402, 3029, 1344, 6123, 366, 199, 1713, 268, 3383, 13701, 35714, 408, 4002, 348, 40796, 11113, 441, 8409, 476, 3823, 34146, 2815, 2461, 3524, 1724, 199, 521, 3721, 943, 348, 459, 416, 1081, 2128, 694, 1720, 274, 719, 270, 1040, 415, 12702, 411, 1784, 2942, 5655, 934, 374, 457, 199, 399, 12675, 398, 1173, 1278, 879, 313, 1918, 499, 442, 367, 2343, 837, 363, 45743, 1226, 1953, 4775, 1498, 7835, 17027, 199, 406, 16744, 497, 49179, 12099, 297, 2446, 369, 1053, 4270, 359, 385, 2324, 18578, 5597, 1422, 1491, 548, 13415, 452, 533, 199, 1142, 794, 38774, 1409, 3396, 511, 33706, 760, 5398, 1945, 908, 317, 603, 4741, 427, 366, 477, 7136, 52, 1625, 381, 199, 328, 775, 709, 1466, 57, 3494, 344, 1334, 33430, 382, 1543, 353, 38013, 4387, 588, 13258, 1720, 23962, 594, 409, 2866, 49, 199, 262, 2330, 505, 3541, 372, 5611, 884, 384, 425, 956, 18709, 2361, 643, 45422, 1196, 364, 603, 4521, 258, 953, 29292, 199, 51, 22778, 262, 7886, 321, 4453, 4286, 512, 6470, 759, 422, 6392, 485, 10395, 478, 385, 876, 1319, 336, 3199, 740, 199, 51, 423, 4254, 342, 1865, 1621, 270, 2506, 5001, 334, 387, 1976, 1178, 37276, 7382, 22480, 3927, 2481, 312, 1300, 1127, 199, 13459, 392, 459, 1358, 2330, 316, 1206, 358, 2713, 672, 328, 1963, 2849, 665, 22242, 1004, 2081, 376, 1099, 288, 9223, 43, 199, 3895, 289, 736, 31262, 3611, 275, 4989, 749, 6390, 874, 6995, 264, 30379, 27661, 605, 6678, 593, 698, 43667, 199, 2173, 466, 411, 6687, 1597, 49488, 27025, 613, 287, 38992, 28438, 2959, 1698, 270, 2111, 341, 446, 1929, 427, 5576, 11718, 199, 368, 8956, 859, 20547, 7429, 19107, 349, 354, 531, 856, 362, 7280, 943, 283, 490, 12435, 2852, 1684, 12809, 9066, 55, 199, 17166, 29371, 6475, 1428, 383, 1516, 387, 10337, 277, 1403, 261, 2582, 10445, 838, 23311, 1599, 1836, 7214, 529, 439, 199, 2576, 288, 823, 758, 8294, 421, 25649, 435, 364, 48048, 423, 566, 1342, 1506, 1400, 411, 1161, 267, 811, 1659, 19039, 54, 199, 342, 612, 14665, 441, 1090, 17897, 11184, 4047, 864, 22555, 4587, 403, 687, 598, 42546, 4323, 16068, 380, 815, 199, 564, 375, 34889, 45, 199, 0, 199, 339, 8644, 471, 596, 474, 1580, 940, 369, 776, 1022, 367, 1297, 290, 2984, 20086, 1281, 285, 981, 448, 280, 2031, 837, 43, 199, 44, 17299, 3177, 1062, 1108, 5740, 313, 1107, 1078, 484, 1391, 260, 1016, 276, 1616, 44235, 457, 1401, 11278, 7557, 515, 199, 875, 341, 2585, 630, 1655, 22874, 553, 1213, 359, 32953, 13302, 1827, 481, 782, 367, 722, 21696, 933, 11887, 23163, 199, 628, 389, 1168, 2073, 2550, 340, 1792, 1307, 2801, 621, 276, 1373, 55, 46194, 14850, 4163, 383, 48898, 892, 1637, 282, 199, 2127, 425, 3607, 2058, 263, 1864, 5141, 10639, 990, 368, 835, 4393, 466, 21834, 345, 3930, 546 ]

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

[ 11682, 1038, 481, 43, 199, 1508, 285, 1405, 3867, 648, 342, 2239, 1176, 815, 301, 713, 517, 21173, 754, 1827, 371, 1066, 1815, 656, 4899, 711, 660, 199, 973, 11116, 320, 33952, 2259, 300, 709, 295, 1077, 28479, 576, 408, 1047, 335, 5356, 20662, 11050, 802, 859, 1207, 199, 412, 7226, 5021, 1314, 343, 1410, 25708, 850, 2434, 8121, 609, 17134, 4950, 684, 384, 15370, 511, 3387, 366, 1118, 38, 199, 261, 1168, 23005, 12071, 1188, 634, 5212, 1357, 330, 2343, 1033, 31564, 2017, 2191, 2891, 10033, 397, 409, 5166, 41, 199, 265, 517, 5930, 27134, 756, 509, 559, 618, 368, 10048, 265, 625, 416, 4175, 633, 1357, 330, 2343, 1033, 31564, 2017, 199, 2191, 2891, 10033, 397, 409, 5166, 779, 517, 5930, 27134, 756, 509, 559, 618, 368, 10048, 265, 625, 416, 4175, 274, 199, 370, 687, 9561, 21763, 2239, 546, 391, 40892, 3504, 594, 295, 2482, 2159, 1742, 664, 7903, 758, 457, 38903, 18128, 199, 25088, 1792, 13929, 365, 672, 6461, 708, 1384, 427, 7993, 1502, 1082, 1338, 7161, 364, 10945, 895, 336, 1935, 820, 199, 369, 13577, 3367, 8391, 1079, 288, 506, 2836, 772, 3184, 1431, 30587, 2479, 8846, 470, 6163, 970, 3976, 297, 1347, 199, 476, 6426, 18871, 749, 381, 9185, 1057, 318, 556, 10716, 377, 415, 8910, 1096, 361, 422, 421, 2771, 338, 3357, 1693, 54, 199, 4516, 1371, 48835, 1668, 9509, 38902, 829, 24366, 326, 588, 1150, 14199, 403, 753, 16170, 777, 7763, 269, 862, 50, 199, 918, 2877, 440, 3193, 3966, 357, 1367, 10257, 18420, 538, 295, 794, 6791, 418, 1056, 17243, 418, 9882, 522, 483, 199, 296, 1097, 1220, 501, 621, 628, 282, 1864, 2685, 277, 17466, 292, 9132, 1852, 13134, 1211, 437, 33373, 3220, 1724, 953, 50, 199, 20513, 2549, 1592, 464, 22015, 1247, 358, 545, 331, 1675, 463, 2791, 479, 4687, 4093, 731, 268, 984, 2526, 343, 5715, 199, 20675, 272, 2650, 199, 0, 199, 661, 48, 731, 2440, 10682, 1997, 1777, 584, 10909, 1290, 405, 11459, 300, 724, 537, 3982, 400, 2475, 1527, 37270, 199, 495, 333, 20783, 8912, 519, 6183, 270, 1242, 735, 1094, 474, 1403, 271, 2442, 599, 264, 970, 756, 13516, 300, 5175, 274, 199, 51, 3316, 16171, 1058, 3848, 6889, 6581, 657, 504, 536, 3794, 25195, 2228, 258, 950, 323, 2977, 625, 9013, 199, 572, 830, 4796, 664, 326, 677, 33267, 16115, 2019, 588, 7704, 398, 16428, 1689, 357, 378, 923, 486, 377, 2253, 33, 199, 907, 3136, 314, 705, 363, 3695, 276, 4718, 1068, 1956, 394, 4965, 790, 400, 4202, 582, 18593, 736, 13655, 386, 13936, 199, 422, 522, 713, 49488, 2227, 3702, 264, 1310, 298, 2485, 7291, 1391, 13735, 450, 15317, 2247, 1354, 727, 373, 355, 540, 199, 17342, 459, 548, 652, 386, 16297, 18242, 1873, 324, 1760, 11823, 768, 282, 1964, 971, 10721, 3643, 1592, 1886, 273, 199, 325, 8461, 2783, 732, 407, 2672, 895, 10930, 814, 439, 1069, 10407, 1247, 3886, 371, 9983, 437, 1201, 1643, 485, 52, 199, 640, 452, 554, 401, 951, 35, 1196, 264, 2415, 271, 510, 1683, 277, 1819, 400, 1895, 860, 9661, 643, 8810, 1119, 43406, 199, 613 ]

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

[ 895, 959, 482, 510, 375, 10050, 5906, 1886, 375, 3887, 456, 17561, 4499, 346, 3308, 370, 1030, 46971, 3634, 199, 16552, 4491, 4465, 260, 2198, 593, 40, 1150, 728, 264, 28709, 665, 401, 817, 553, 2368, 426, 11238, 929, 4303, 33, 199, 51, 13085, 36801, 552, 342, 14059, 708, 12555, 9056, 4060, 643, 337, 1841, 8115, 2201, 2876, 5785, 361, 1095, 54, 199, 644, 929, 333, 873, 2127, 1475, 318, 15139, 659, 20339, 332, 24642, 286, 1545, 360, 1867, 1241, 783, 36483, 7147, 199, 5153, 350, 510, 3558, 3715, 333, 1567, 317, 1253, 332, 6073, 951, 275, 537, 2907, 1399, 12016, 2186, 1869, 471, 199, 3008, 578, 424, 895, 366, 523, 5515, 1449, 469, 4446, 371, 1313, 964, 436, 607, 1714, 9083, 7861, 354, 671, 279, 199, 602, 1627, 34494, 280, 526, 319, 1116, 25355, 1008, 1095, 354, 42824, 15553, 473, 5037, 2207, 814, 16781, 20783, 3066, 199, 342, 403, 576, 3782, 399, 4075, 974, 270, 694, 925, 1299, 45426, 2216, 666, 644, 2419, 357, 685, 332, 994, 1521, 398, 199, 23157, 599, 41000, 15107, 472, 471, 619, 10820, 637, 537, 12879, 594, 7306, 15060, 670, 1073, 40649, 1350, 264, 199, 46988, 430, 8512, 318, 4747, 7530, 550, 385, 1748, 1071, 655, 6279, 802, 691, 852, 673, 631, 5086, 327, 630, 199, 3359, 22857, 479, 199, 0, 199, 1856, 369, 2987, 2561, 1246, 6545, 287, 6323, 980, 6780, 387, 1142, 885, 438, 40140, 882, 422, 474, 368, 937, 57, 199, 34702, 21388, 386, 11690, 388, 443, 25354, 762, 340, 760, 470, 275, 4364, 17128, 1723, 280, 1890, 324, 2796, 419, 418, 52, 199, 14040, 320, 32363, 2541, 29857, 389, 1700, 1320, 298, 932, 429, 4978, 604, 4507, 2217, 2292, 343, 5665, 5475, 346, 199, 26787, 8897, 464, 1243, 892, 2687, 534, 1490, 1157, 331, 658, 20042, 1178, 464, 315, 415, 7698, 387, 386, 529, 696, 423, 199, 28175, 623, 421, 13702, 391, 1438, 42297, 2740, 1415, 413, 1217, 513, 7782, 35503, 579, 10409, 2695, 267, 1806, 509, 199, 416, 755, 21402, 7855, 14442, 28938, 6716, 527, 1433, 47655, 16112, 418, 990, 875, 6098, 9532, 3727, 263, 199, 3588, 1231, 13370, 24840, 7903, 611, 3421, 490, 15208, 406, 1558, 5102, 7625, 418, 608, 455, 2111, 395, 9378, 14880, 199, 17471, 614, 366, 14348, 399, 28124, 12936, 3224, 431, 1263, 1331, 2077, 38221, 1597, 1958, 19156, 459, 368, 27719, 1102, 199, 350, 1049, 1895, 334, 3810, 5065, 1942, 13171, 511, 386, 1156, 40, 1497, 406, 1264, 286, 17576, 845, 1423, 404, 1092, 933, 199, 937, 323, 587, 288, 5738, 329, 1071, 444, 2516, 278, 16461, 1579, 364, 1654, 7080, 491, 28568, 1320, 431, 325, 8489, 33, 199, 325, 830, 450, 23657, 1475, 477, 20677, 2078, 326, 754, 290, 526, 422, 2641, 292, 1059, 15958, 687, 437, 20405, 1592, 33286, 199, 400, 377, 3399, 468, 23584, 10364, 383, 3030, 24049, 1637, 386, 441, 1439, 340, 10431, 28661, 1902, 470, 13920, 566, 292, 463, 199, 866, 2081, 464, 49, 846, 331, 795, 524, 4564, 8094, 292, 541, 35, 947, 290, 21246, 4086, 2904, 347, 1732, 20164, 301, 4112, 199, 464, 1983, 3721, 14739, 2529, 372, 9555 ]

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

[ 3794, 360, 6579, 24637, 884, 5248, 10648, 30067, 367, 19352, 3112, 199, 546, 621, 26547, 15158, 14432, 1973, 483, 2780, 290, 650, 2688, 2129, 2071, 1402, 291, 894, 357, 521, 40976, 5919, 199, 322, 11801, 29573, 268, 1525, 440, 40612, 13879, 2684, 10847, 33931, 10618, 1557, 17238, 2034, 46, 1695, 537, 578, 199, 327, 985, 38773, 797, 1908, 1141, 291, 762, 4127, 326, 1974, 514, 4748, 739, 263, 1010, 286, 1277, 4519, 17104, 3407, 199, 364, 458, 1099, 1344, 17215, 47947, 20785, 2974, 17035, 459, 38059, 1140, 43108, 1488, 291, 552, 365, 453, 658, 585, 410, 199, 36, 912, 288, 735, 598, 15254, 1759, 31988, 337, 436, 24570, 3341, 13664, 6851, 1638, 1130, 762, 277, 5102, 486, 38, 199, 12316, 1050, 286, 199, 0, 199, 837, 8014, 301, 465, 1964, 343, 4410, 6439, 6675, 1285, 1306, 19639, 1318, 799, 6631, 5320, 420, 1141, 23987, 199, 5237, 569, 5287, 550, 281, 540, 334, 3337, 709, 2113, 421, 1689, 9756, 587, 1841, 7150, 752, 295, 10130, 540, 26985, 199, 334, 1561, 8222, 335, 34058, 1592, 266, 4429, 1301, 1610, 830, 414, 544, 2144, 347, 445, 24776, 1026, 637, 327, 776, 292, 199, 403, 2643, 351, 21509, 1449, 580, 3024, 721, 729, 10667, 48597, 43681, 1334, 9031, 394, 17281, 728, 442, 9880, 199, 2356, 334, 1314, 1776, 1949, 7651, 10649, 324, 1478, 335, 1082, 317, 2380, 294, 478, 4751, 294, 638, 447, 2408, 1211, 432, 199, 10533, 294, 3677, 430, 1002, 333, 568, 537, 10865, 1667, 5632, 9005, 522, 857, 765, 355, 656, 31264, 625, 21312, 199, 28394, 781, 4416, 272, 16408, 611, 4927, 917, 2095, 621, 2398, 356, 554, 47108, 270, 6330, 18611, 2065, 774, 718, 199, 438, 1772, 282, 2186, 420, 316, 1310, 33362, 1012, 46659, 668, 295, 645, 3248, 16748, 3240, 891, 7219, 32533, 40, 199, 37, 15879, 6039, 448, 3876, 37821, 2162, 1714, 363, 959, 11444, 544, 12645, 8983, 387, 1936, 2823, 8788, 892, 199, 448, 613, 453, 281, 2019, 731, 5797, 490, 8973, 339, 1670, 6452, 736, 578, 48800, 540, 294, 1987, 661, 282, 2122, 514, 55, 199, 35, 1212, 20048, 690, 281, 2585, 709, 542, 2693, 508, 1224, 31806, 472, 7934, 1142, 13142, 361, 8449, 2292, 9807, 199, 21027, 783, 28839, 46188, 1284, 1299, 378, 918, 1721, 12392, 2315, 278, 731, 288, 1685, 516, 16056, 40552, 6802, 1335, 199, 12812, 3499, 389, 422, 20740, 1179, 522, 656, 351, 632, 1614, 410, 45147, 5989, 1308, 643, 16333, 1869, 901, 3743, 199, 490, 37010, 14160, 21378, 2120, 12504, 746, 25123, 17121, 795, 43910, 3036, 3255, 5887, 366, 12992, 1402, 42183, 199, 1670, 2219, 1333, 5974, 435, 1394, 3384, 18974, 980, 31892, 8879, 29839, 3925, 288, 10574, 10832, 1057, 4276, 199, 422, 374, 1211, 8958, 432, 557, 985, 1611, 346, 6771, 20102, 658, 3632, 6223, 299, 534, 7906, 722, 9078, 969, 199, 643, 587, 15672, 413, 3267, 313, 4842, 29485, 1071, 389, 752, 323, 356, 617, 295, 9707, 1712, 863, 405, 327, 1050, 346, 199, 2483, 1407, 14804, 4330, 38, 199, 0, 199, 3083, 1871, 1366, 3615, 530, 461, 18058, 15945, 1000, 582, 10481, 1759, 22955, 517, 17327, 1702, 279, 36358, 13193 ]

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

[ 199, 7480, 286, 1939, 318, 41434, 989, 1959, 513, 19319, 289, 555, 3703, 17107, 1797, 799, 369, 500, 5748, 584, 25926, 54, 199, 966, 11929, 10409, 1025, 9142, 10906, 1467, 3834, 26896, 4818, 3263, 1320, 428, 11727, 32403, 413, 15848, 199, 576, 11952, 4532, 7211, 858, 314, 768, 371, 598, 645, 314, 638, 422, 28310, 282, 4388, 45271, 422, 4954, 11944, 33, 199, 266, 1023, 261, 876, 12287, 19898, 3127, 275, 520, 41174, 39284, 413, 13575, 14131, 4163, 421, 1454, 9090, 1069, 199, 19147, 1869, 400, 630, 348, 802, 458, 337, 684, 12003, 2727, 795, 16477, 664, 377, 2144, 13340, 29815, 1869, 453, 325, 199, 6073, 13215, 1178, 48, 951, 521, 24656, 2331, 318, 5684, 1644, 373, 6576, 479, 6240, 10090, 505, 936, 1490, 4403, 199, 11318, 899, 428, 322, 4075, 1339, 414, 1133, 3198, 2571, 9005, 352, 649, 2253, 1198, 1338, 3788, 375, 1357, 488, 361, 199, 738, 42207, 5908, 2021, 283, 1971, 27097, 4824, 952, 488, 5754, 401, 489, 1309, 594, 5918, 414, 1971, 1756, 199, 283, 2198, 15440, 358, 690, 4811, 371, 1595, 301, 1207, 8937, 1587, 286, 6082, 3074, 530, 616, 4306, 377, 16203, 199, 4234, 312, 694, 391, 2505, 1314, 1946, 2613, 530, 717, 849, 5187, 1838, 285, 1595, 2849, 580, 414, 25290, 578, 199, 687, 357, 5593, 358, 765, 2197, 4175, 1618, 482, 4432, 337, 1347, 275, 5594, 315, 694, 351, 47795, 932, 771, 199, 21766, 2715, 1320, 11249, 799, 3898, 25238, 520, 582, 13709, 1854, 3127, 1191, 48792, 1215, 42911, 1040, 414, 199, 11448, 392, 285, 692, 45586, 849, 11440, 4950, 378, 13313, 6982, 14544, 733, 947, 4220, 403, 12359, 12185, 199, 3773, 1348, 1325, 277, 4526, 44955, 1356, 1159, 317, 10247, 334, 3065, 2321, 28587, 520, 39411, 1971, 11712, 199, 24076, 1146, 290, 657, 398, 2130, 2365, 1423, 977, 4576, 2248, 1586, 1035, 26883, 715, 3068, 420, 5847, 11018, 199, 850, 312, 3364, 9661, 1659, 378, 1851, 418, 11196, 2508, 432, 585, 21036, 22191, 458, 9275, 389, 727, 16067, 450, 199, 760, 315, 1468, 273, 602, 458, 362, 6905, 728, 403, 1118, 866, 1198, 30855, 1002, 11436, 966, 19899, 1103, 1070, 19417, 199, 377, 1423, 3886, 11162, 1645, 418, 824, 6119, 619, 263, 48286, 3391, 1560, 915, 3469, 31866, 315, 3545, 625, 679, 199, 39, 16046, 24978, 199, 0, 199, 27486, 990, 24617, 6502, 300, 2333, 3297, 40273, 8353, 33202, 412, 36484, 9482, 17259, 8425, 2218, 2425, 199, 36288, 386, 4086, 1686, 19930, 7770, 2011, 6058, 39751, 371, 16351, 23877, 1417, 359, 1679, 2992, 3260, 5514, 199, 19896, 2805, 382, 499, 13617, 1635, 30246, 905, 34745, 8080, 12243, 531, 317, 38996, 875, 364, 3981, 2216, 14688, 199, 30052, 776, 14576, 297, 1453, 926, 2063, 9706, 1117, 421, 1720, 313, 446, 11099, 588, 410, 1291, 1813, 270, 1368, 16306, 199, 1519, 278, 1027, 1815, 510, 18799, 29214, 384, 4023, 346, 1325, 542, 3302, 407, 47734, 1101, 33512, 270, 1065, 1013, 379, 199, 1195, 391, 1004, 48070, 1064, 1799, 636, 6876, 22029, 912, 387, 1051, 288, 1307, 42283, 10032, 3241, 285, 1536, 313, 199, 43434, 26542, 1125, 10453, 495, 6067, 12923, 1468, 314, 4402, 577, 397 ]

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

[ 22343, 34298, 9202, 335, 1788, 325, 1924, 199, 378, 1470, 352, 1534, 258, 881, 12528, 1441, 1398, 8130, 280, 1394, 10082, 5208, 2510, 278, 801, 759, 48715, 1096, 199, 22114, 9585, 383, 507, 13774, 1369, 1139, 1964, 444, 388, 1301, 815, 648, 437, 3242, 1306, 8792, 548, 1120, 12917, 33, 199, 369, 3226, 313, 627, 3088, 313, 42158, 1264, 29271, 396, 606, 398, 435, 519, 5528, 282, 1784, 2337, 439, 10638, 965, 352, 199, 494, 1141, 999, 367, 9284, 1768, 1428, 1268, 996, 1476, 511, 414, 1181, 425, 270, 848, 335, 423, 388, 735, 295, 1172, 3200, 199, 297, 4613, 321, 1394, 736, 21999, 14660, 348, 1523, 529, 8414, 515, 357, 14035, 380, 497, 8397, 17985, 2972, 28443, 38, 199, 2076, 6069, 1512, 451, 13833, 2341, 427, 1637, 338, 766, 748, 42348, 2869, 1674, 3385, 338, 11299, 411, 535, 21988, 559, 199, 263, 1445, 1102, 376, 2866, 4975, 2612, 11998, 1790, 10789, 387, 1272, 488, 353, 490, 7401, 2743, 1565, 605, 477, 27214, 199, 6363, 1363, 485, 7056, 1801, 396, 15879, 6049, 327, 4896, 4810, 40476, 3000, 973, 433, 10590, 11520, 1184, 380, 199, 37, 1434, 563, 314, 2310, 7628, 47982, 288, 46735, 943, 9601, 263, 773, 36714, 11048, 43637, 4975, 278, 2698, 445, 199, 567, 433, 560, 379, 494, 365, 995, 357, 4361, 36639, 3721, 322, 6354, 1007, 316, 705, 463, 1342, 446, 7765, 1229, 627, 337, 199, 37504, 3749, 342, 1963, 361, 661, 1680, 1697, 32067, 391, 6090, 364, 1674, 394, 2116, 432, 3070, 5518, 2118, 6212, 433, 446, 199, 849, 1596, 280, 363, 5516, 325, 2402, 934, 1462, 313, 1057, 599, 7056, 729, 583, 828, 318, 693, 399, 396, 858, 804, 262, 199, 1052, 276, 2195, 43, 199, 0, 199, 2844, 400, 2154, 279, 1584, 1052, 448, 2274, 9936, 16733, 402, 719, 350, 10454, 1048, 457, 957, 1979, 9853, 14870, 7866, 199, 26046, 722, 370, 506, 11656, 1929, 805, 40262, 2177, 1421, 4325, 275, 2274, 1989, 351, 32678, 11830, 332, 19858, 1714, 199, 387, 514, 12610, 17779, 1230, 1609, 9932, 19762, 393, 2023, 1198, 16822, 538, 597, 1767, 627, 21846, 799, 323, 778, 199, 294, 10973, 1654, 944, 264, 1472, 332, 7549, 370, 732, 296, 1517, 36, 8633, 43023, 1460, 21081, 728, 20939, 875, 199, 10894, 1150, 15259, 6008, 258, 1423, 889, 342, 1534, 11509, 3866, 21804, 1805, 952, 411, 9101, 1105, 369, 16267, 199, 538, 734, 3397, 409, 3617, 2515, 2149, 733, 510, 2755, 10681, 445, 8191, 5360, 390, 29918, 1199, 371, 4924, 199, 44, 2317, 295, 12886, 510, 4177, 383, 527, 1569, 3935, 39922, 651, 369, 427, 4840, 326, 3602, 407, 1121, 285, 1251, 50, 199, 312, 694, 33313, 986, 5601, 813, 819, 18999, 2663, 720, 266, 644, 481, 371, 789, 38427, 11643, 264, 2068, 43, 199, 267, 4505, 264, 1086, 39607, 909, 613, 6461, 704, 19562, 765, 407, 18149, 262, 541, 2751, 25391, 332, 27240, 6461, 199, 18146, 1072, 15107, 1002, 1190, 473, 11092, 1985, 960, 28245, 1497, 12758, 1950, 945, 8032, 1355, 731, 7865, 33, 199, 25900, 9466, 473, 3774, 37043, 514, 312, 2135, 5763, 25089, 1199, 3619, 48493, 7052, 342, 26030, 1168, 268, 468 ]

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

[ 199, 601, 261, 1273, 49354, 20001, 10259, 1457, 24954, 14425, 264, 8105, 649, 44285, 36205, 12247, 21262, 275, 199, 49509, 665, 350, 4806, 6172, 1408, 11057, 699, 293, 11336, 4241, 15015, 29580, 541, 350, 4177, 285, 2511, 40, 199, 380, 23957, 487, 13884, 549, 297, 1913, 5861, 1301, 603, 267, 10921, 1301, 23659, 2415, 794, 318, 937, 9950, 282, 199, 32043, 25597, 271, 454, 9185, 364, 1385, 8693, 46591, 11527, 991, 574, 357, 1199, 341, 1115, 724, 17525, 1988, 199, 29673, 276, 1888, 5502, 345, 7799, 264, 700, 597, 947, 5165, 3654, 1069, 10449, 765, 1268, 42702, 600, 199, 803, 10663, 600, 803, 8106, 786, 337, 7319, 6399, 348, 1723, 10264, 1360, 33364, 1268, 9256, 6406, 26944, 199, 9550, 855, 510, 315, 4397, 11905, 1726, 282, 514, 19927, 3526, 19927, 1140, 6668, 909, 1988, 9362, 337, 872, 199, 285, 557, 607, 16725, 37936, 680, 4955, 537, 374, 899, 3848, 728, 281, 10846, 353, 1237, 5790, 760, 2646, 33, 199, 2775, 358, 2010, 199, 0, 199, 2158, 2192, 955, 17563, 509, 564, 3785, 3014, 4473, 400, 564, 38983, 6473, 356, 31484, 1467, 28159, 528, 570, 410, 35, 199, 12600, 258, 1719, 42542, 1509, 391, 15195, 271, 1578, 410, 1026, 12918, 2512, 385, 392, 10192, 333, 396, 1232, 464, 1472, 350, 199, 48, 951, 9679, 1575, 452, 300, 30580, 989, 362, 1330, 856, 262, 1880, 629, 29973, 1597, 543, 867, 3818, 286, 683, 415, 199, 5138, 7987, 1515, 753, 555, 1124, 8361, 22180, 1337, 5232, 41143, 1098, 389, 1676, 895, 578, 7500, 17996, 199, 1702, 298, 1467, 646, 18206, 2571, 389, 5619, 1658, 957, 704, 664, 12313, 836, 22776, 1362, 335, 408, 4391, 199, 351, 20165, 29094, 628, 5313, 5326, 405, 688, 631, 7877, 428, 1247, 10570, 4067, 22128, 12575, 262, 8180, 35, 199, 414, 4604, 38980, 2211, 335, 4649, 4525, 316, 1155, 48158, 587, 11758, 264, 2371, 7500, 782, 358, 1497, 1467, 199, 7676, 27013, 587, 2570, 296, 2132, 333, 854, 38, 1467, 296, 2132, 966, 264, 603, 1675, 17406, 712, 508, 2570, 296, 199, 296, 26400, 12313, 34376, 1266, 481, 28870, 3549, 928, 4672, 884, 317, 633, 6129, 270, 1934, 20695, 1511, 46, 199, 1784, 956, 492, 1341, 467, 1503, 474, 24151, 12953, 11238, 6073, 333, 669, 334, 6017, 548, 367, 27887, 3528, 964, 199, 39, 462, 17009, 459, 318, 1463, 376, 7147, 27185, 2139, 831, 9105, 1193, 277, 3938, 1352, 2669, 291, 5129, 30213, 199, 20840, 1258, 360, 1117, 48, 999, 975, 17714, 786, 10586, 2007, 369, 25302, 3620, 530, 16705, 981, 258, 1012, 1656, 199, 19196, 423, 3615, 1032, 711, 38626, 12557, 1268, 8332, 48248, 19143, 9259, 11005, 834, 266, 400, 508, 389, 895, 199, 24152, 952, 387, 1840, 20719, 2392, 4944, 1008, 833, 22589, 514, 3938, 28525, 36770, 9393, 402, 1314, 11696, 199, 1702, 23890, 361, 37207, 4143, 368, 12482, 261, 885, 4068, 4427, 437, 12125, 570, 346, 1300, 3959, 391, 458, 2744, 1392, 199, 369, 1412, 1071, 2788, 356, 1816, 776, 280, 1022, 4240, 7286, 6856, 4489, 2035, 970, 858, 429, 1199, 9023, 28667, 199, 331, 1485, 443, 3005, 15670, 7452, 28395, 1365, 3863, 545, 5085, 358, 10936 ]

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

[ 1369, 396, 1067, 283, 1555, 337, 9485, 199, 636, 261, 1057, 481, 674, 317, 1836, 591, 290, 474, 9795, 718, 4017, 1466, 1587, 8653, 320, 462, 31566, 476, 10181, 617, 199, 39, 5368, 1523, 400, 3031, 17304, 285, 424, 4525, 1331, 1161, 372, 2865, 19317, 6698, 393, 3163, 540, 266, 9055, 384, 395, 199, 267, 829, 319, 4500, 199, 0, 199, 419, 12899, 423, 3716, 711, 446, 1061, 17731, 404, 2409, 13115, 1943, 480, 35, 1910, 5160, 1206, 349, 2332, 1245, 444, 5302, 199, 398, 355, 12871, 1127, 269, 19171, 1954, 550, 5550, 1117, 298, 1610, 38060, 6842, 439, 615, 16116, 1184, 288, 4687, 199, 1163, 294, 1039, 386, 6985, 2178, 315, 2156, 35985, 9284, 24784, 1788, 282, 615, 6036, 1585, 45402, 4872, 457, 262, 199, 726, 283, 1060, 1250, 387, 2292, 3050, 495, 18305, 938, 49798, 1125, 265, 2753, 1142, 426, 1369, 1387, 482, 359, 9668, 45, 199, 2187, 598, 335, 528, 12294, 12094, 359, 433, 28222, 457, 1685, 599, 6304, 341, 2964, 440, 7357, 18337, 341, 937, 6980, 199, 2340, 404, 32032, 391, 1424, 585, 1895, 401, 35080, 28370, 1257, 336, 1234, 22088, 501, 362, 2253, 26297, 331, 18114, 358, 52, 199, 1398, 844, 6496, 11884, 519, 6233, 21690, 1639, 313, 1453, 1092, 13179, 649, 5045, 268, 21432, 474, 940, 19941, 199, 39, 39690, 414, 1270, 270, 14751, 419, 3475, 362, 1827, 1179, 48, 3464, 41003, 2437, 2872, 19210, 1180, 730, 263, 2318, 199, 1288, 329, 1647, 20843, 316, 4789, 10473, 343, 6281, 376, 9431, 5340, 3814, 1029, 381, 1110, 1861, 1360, 359, 425, 54, 199, 7623, 1972, 342, 474, 2180, 285, 1905, 317, 783, 6800, 9574, 9606, 3746, 16490, 1081, 882, 46660, 313, 9979, 199, 39, 562, 342, 449, 37987, 4382, 9470, 1307, 14577, 24065, 777, 267, 1126, 647, 529, 6984, 3201, 342, 1390, 542, 15924, 199, 864, 1018, 351, 2759, 4118, 349, 971, 488, 353, 3330, 1073, 446, 376, 9531, 4049, 1249, 1197, 382, 449, 624, 33809, 54, 199, 24083, 359, 1117, 41315, 8355, 19678, 4834, 778, 18384, 556, 832, 531, 383, 518, 595, 6208, 1749, 398, 497, 4682, 199, 1174, 1781, 32513, 10352, 495, 42003, 511, 1582, 337, 528, 5824, 467, 14304, 887, 442, 36051, 35608, 12908, 1307, 199, 1991, 18962, 431, 1288, 349, 1030, 469, 604, 5220, 15462, 764, 29778, 1052, 328, 1011, 284, 2154, 365, 1230, 286, 2358, 35, 199, 293, 1435, 396, 790, 544, 1440, 293, 649, 337, 17520, 620, 35319, 653, 331, 17186, 377, 12156, 13237, 7240, 13244, 199, 40316, 937, 4148, 812, 22574, 883, 277, 1653, 39714, 291, 9500, 379, 931, 588, 469, 702, 7143, 387, 987, 364, 726, 199, 2245, 32776, 406, 16635, 571, 6814, 19944, 6867, 360, 4505, 10222, 3293, 257, 1288, 47160, 282, 1488, 32652, 1442, 199, 51, 6964, 421, 4232, 588, 7082, 6567, 364, 486, 1222, 647, 844, 367, 2733, 286, 1523, 1099, 17629, 1303, 916, 397, 199, 3379, 2162, 257, 199, 0, 199, 2649, 381, 840, 384, 36570, 19723, 1502, 520, 4790, 4842, 443, 437, 41571, 384, 547, 20545, 617, 399, 2238, 299, 2340, 641, 199, 20112, 3810, 457, 8953, 35, 675, 351, 3013, 31039, 4211, 2502 ]

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

[ 4416, 3769, 608, 2293, 666, 2454, 21318, 3480, 1510, 199, 3093, 3016, 312, 415, 30209, 2194, 402, 9631, 1081, 359, 889, 39, 15889, 938, 520, 3392, 263, 1045, 364, 2431, 283, 566, 604, 199, 327, 21637, 3051, 1980, 748, 364, 2309, 345, 773, 320, 9805, 328, 628, 547, 1132, 341, 3345, 276, 437, 491, 4767, 1390, 5395, 38, 199, 23432, 2903, 34145, 2726, 690, 660, 470, 394, 1431, 2845, 452, 14990, 3587, 2074, 608, 21480, 5631, 325, 13962, 656, 387, 35, 199, 11811, 1793, 345, 2695, 351, 1247, 11771, 46393, 626, 24554, 398, 415, 4331, 387, 2165, 261, 628, 3652, 2034, 511, 3979, 3035, 199, 36, 584, 2097, 521, 773, 47378, 47491, 2476, 263, 1658, 4224, 1397, 748, 529, 4616, 337, 2816, 1667, 276, 617, 804, 1031, 35, 199, 1033, 756, 28070, 2761, 34036, 4920, 4211, 2795, 453, 425, 1582, 1630, 2819, 293, 650, 4505, 293, 626, 393, 427, 427, 617, 1600, 199, 277, 4790, 351, 2863, 31156, 2034, 47420, 433, 573, 326, 48637, 931, 5160, 580, 1480, 6176, 32321, 540, 14717, 627, 199, 42748, 409, 520, 3028, 626, 8508, 373, 495, 22179, 339, 24264, 2190, 8268, 295, 2753, 1247, 2726, 2124, 9408, 283, 849, 199, 11579, 626, 9654, 926, 660, 655, 580, 493, 520, 351, 568, 445, 6538, 313, 1267, 773, 403, 23214, 2445, 529, 8018, 520, 11372, 199, 380, 2170, 369, 646, 407, 40840, 2145, 650, 40488, 617, 267, 1555, 483, 3224, 725, 4742, 535, 8177, 670, 10699, 2686, 670, 199, 2630, 367, 2454, 328, 2627, 1444, 1168, 17788, 2398, 332, 476, 604, 313, 3576, 286, 3895, 1851, 748, 367, 6805, 414, 9103, 287, 199, 11131, 437, 1175, 483, 2441, 316, 2213, 23909, 546, 626, 18012, 1604, 288, 4015, 17816, 2726, 45930, 626, 3687, 364, 670, 199, 6426, 338, 1084, 650, 2919, 413, 384, 468, 14395, 1690, 575, 383, 837, 17258, 2963, 27282, 2320, 450, 387, 1243, 604, 10012, 199, 384, 17299, 558, 626, 24660, 46471, 773, 590, 367, 447, 650, 280, 2765, 4265, 266, 898, 425, 773, 270, 30195, 5109, 317, 1219, 33, 199, 2819, 985, 40306, 784, 2052, 11277, 1998, 22880, 7511, 660, 655, 294, 511, 7529, 756, 44502, 7987, 524, 1059, 16999, 199, 483, 604, 4111, 279, 1083, 2726, 584, 588, 3027, 28847, 773, 462, 12860, 262, 650, 706, 324, 773, 643, 351, 1750, 46324, 1137, 199, 42767, 3616, 374, 813, 588, 354, 2213, 284, 617, 266, 2502, 6687, 343, 16224, 42122, 2816, 15630, 575, 28845, 451, 568, 326, 199, 2815, 5395, 5905, 199, 0, 199, 2260, 273, 24939, 1525, 269, 1499, 752, 7199, 12187, 538, 2649, 328, 20371, 726, 359, 2877, 9803, 34166, 446, 559, 37471, 199, 1137, 322, 459, 862, 338, 3116, 2802, 17699, 514, 3754, 267, 4502, 349, 376, 2528, 262, 1954, 363, 1003, 19220, 268, 30744, 199, 345, 2363, 40978, 450, 1043, 967, 425, 1329, 318, 5714, 447, 20606, 3986, 43791, 947, 646, 1544, 464, 2380, 13114, 199, 7462, 362, 14852, 1217, 443, 9201, 40, 1045, 509, 1697, 3510, 288, 1305, 18411, 390, 821, 1929, 7930, 421, 518, 11133, 199, 44, 539, 503, 1409, 282, 6853, 452, 733, 567, 662, 499, 768, 386 ]

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

[ 454, 2533, 591, 18135, 686, 464, 4889, 1000, 363, 2214, 49, 199, 44, 1387, 12106, 346, 1080, 5672, 4754, 426, 38072, 10690, 430, 364, 10055, 49105, 1989, 1584, 8878, 45592, 373, 199, 318, 763, 295, 871, 12345, 552, 6911, 2241, 1193, 14628, 2079, 1316, 1297, 1998, 41945, 32401, 328, 1304, 476, 10016, 199, 263, 1195, 659, 37352, 634, 507, 295, 2866, 721, 47459, 6123, 2018, 285, 4015, 477, 1061, 2444, 12578, 312, 754, 2157, 199, 628, 33778, 283, 424, 2548, 501, 545, 1430, 9412, 1497, 14067, 399, 39171, 18415, 27157, 6203, 860, 334, 1301, 287, 199, 44, 1014, 9184, 2719, 3949, 26623, 557, 1229, 457, 17843, 5568, 265, 1159, 575, 350, 493, 1029, 442, 23650, 38, 966, 199, 402, 1175, 1964, 979, 45960, 508, 820, 402, 381, 1136, 338, 2223, 369, 499, 431, 1122, 399, 2148, 1492, 2673, 623, 5338, 54, 199, 452, 345, 765, 334, 402, 1754, 1102, 36007, 630, 6511, 1296, 874, 30277, 985, 12635, 5734, 17021, 17096, 427, 427, 199, 23432, 928, 922, 984, 813, 1697, 27072, 1214, 322, 20306, 372, 8892, 827, 266, 1875, 351, 792, 15505, 345, 1163, 52, 199, 3597, 583, 295, 20123, 2817, 493, 3593, 2556, 26582, 383, 1792, 394, 566, 422, 28713, 418, 25694, 338, 941, 368, 966, 412, 199, 37, 5105, 7760, 1721, 1605, 37777, 459, 598, 399, 2020, 1416, 372, 976, 16964, 613, 1057, 503, 351, 1296, 352, 467, 322, 199, 1613, 1789, 714, 260, 2295, 329, 2182, 1581, 353, 22401, 257, 592, 274, 6784, 11452, 1517, 3837, 21608, 1634, 18843, 199, 3418, 353, 844, 344, 2051, 2087, 417, 432, 7472, 259, 5160, 685, 40301, 1848, 839, 1229, 1073, 313, 2274, 1696, 1354, 45, 199, 300, 592, 813, 1927, 849, 1520, 2585, 38990, 1160, 6337, 346, 905, 1817, 260, 916, 270, 578, 352, 15702, 411, 1310, 199, 312, 2173, 537, 18972, 583, 15083, 301, 1628, 321, 1760, 433, 12313, 413, 1199, 371, 1946, 413, 27071, 1325, 2515, 1332, 199, 30465, 441, 8290, 199, 0, 199, 2091, 265, 4008, 644, 692, 7668, 498, 5282, 3217, 335, 933, 258, 908, 299, 833, 8025, 17922, 833, 9361, 199, 405, 27185, 447, 6280, 1046, 25856, 833, 356, 1241, 6879, 891, 1586, 5047, 1265, 39057, 28229, 646, 28543, 199, 520, 808, 369, 771, 284, 1020, 5814, 5814, 974, 974, 35, 1200, 317, 5598, 996, 9090, 522, 2513, 2344, 428, 41, 199, 25344, 28517, 1685, 4295, 511, 43180, 13276, 604, 473, 313, 3109, 41235, 1045, 323, 2942, 563, 7083, 1467, 15063, 317, 199, 18085, 3097, 600, 353, 8054, 899, 8705, 10383, 999, 351, 3636, 41486, 1352, 1036, 38715, 2792, 456, 13537, 33, 199, 293, 1274, 1119, 1071, 2366, 294, 1033, 276, 1622, 263, 3792, 365, 25992, 518, 2116, 1012, 429, 1360, 355, 4713, 1297, 540, 199, 33548, 3702, 334, 10570, 380, 436, 2669, 540, 17115, 3408, 1736, 389, 883, 731, 20903, 523, 356, 31097, 1736, 296, 199, 48, 2637, 607, 2817, 14639, 1036, 1571, 1677, 12971, 576, 22968, 21667, 15155, 8081, 690, 5445, 329, 8600, 298, 199, 334, 741, 10287, 312, 752, 4649, 23382, 1297, 834, 482, 13608, 1006, 2371, 542, 621, 20381, 501, 20581, 20648, 391, 199 ]

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

[ 6178, 349, 571, 12323, 326, 468, 482, 1552, 318, 1072, 440, 4988, 510, 296, 1742, 23992, 1201, 695, 15700, 3906, 280, 199, 467, 6397, 28033, 434, 4261, 9931, 1365, 1598, 560, 1710, 7479, 534, 1238, 290, 1059, 3949, 3271, 269, 2067, 30026, 199, 44, 1062, 16625, 1673, 22604, 4492, 7732, 3562, 52, 4381, 3755, 2952, 497, 3895, 646, 438, 3880, 625, 8123, 199, 44, 9561, 4333, 370, 2228, 12062, 33983, 334, 1979, 295, 527, 334, 6074, 22754, 2013, 46681, 1207, 16231, 27901, 199, 845, 35961, 2211, 381, 2257, 425, 1895, 291, 4937, 334, 901, 25183, 36049, 18410, 2719, 280, 775, 21196, 1169, 7525, 199, 2066, 284, 3468, 605, 4919, 5400, 6859, 38717, 17961, 266, 1741, 462, 13397, 2836, 333, 762, 3135, 4831, 375, 8798, 199, 5223, 384, 1153, 22167, 1870, 8150, 3100, 373, 346, 384, 1729, 15049, 393, 5125, 317, 683, 769, 520, 1942, 8698, 300, 199, 47343, 985, 10818, 496, 2035, 299, 2155, 3920, 1259, 643, 399, 988, 454, 419, 593, 2423, 21640, 320, 2421, 275, 950, 365, 199, 34703, 709, 15139, 567, 8999, 286, 1526, 344, 392, 1386, 410, 705, 26267, 257, 1237, 8560, 482, 572, 427, 2517, 547, 199, 451, 863, 3048, 21556, 20665, 389, 3321, 368, 668, 6643, 370, 11594, 334, 1177, 292, 1532, 789, 43326, 285, 2369, 199, 13603, 619, 3074, 199, 0, 199, 382, 969, 4682, 394, 15799, 458, 28908, 343, 5089, 5042, 12786, 1043, 415, 520, 12445, 3358, 712, 413, 562, 440, 54, 199, 271, 1344, 271, 1364, 1042, 7725, 280, 715, 40229, 13922, 6089, 1913, 473, 1248, 532, 6181, 975, 859, 4292, 474, 43, 199, 632, 728, 10350, 48917, 3599, 29685, 1260, 1392, 9983, 3545, 537, 28633, 345, 4007, 1814, 704, 292, 605, 343, 199, 1638, 356, 1769, 319, 355, 2166, 46213, 319, 355, 2166, 46213, 5061, 405, 5106, 371, 1381, 2077, 327, 6588, 802, 30287, 199, 866, 314, 1227, 314, 4077, 3685, 642, 4025, 857, 691, 426, 652, 356, 833, 732, 20814, 1718, 404, 6616, 301, 9855, 199, 14264, 9027, 8375, 542, 291, 2004, 258, 732, 1254, 373, 913, 8894, 996, 19192, 5374, 37608, 576, 955, 597, 33, 199, 732, 732, 933, 334, 4774, 9900, 14627, 10125, 766, 1841, 312, 858, 2417, 586, 1184, 12187, 279, 596, 33873, 199, 589, 3518, 5799, 550, 481, 1571, 326, 8689, 17501, 3036, 4503, 595, 6586, 2321, 515, 20063, 23332, 1751, 365, 199, 18579, 8053, 762, 24730, 334, 1810, 16991, 591, 551, 957, 27777, 263, 621, 4696, 485, 414, 277, 2708, 791, 50196, 199, 10051, 2787, 17037, 257, 1196, 486, 334, 500, 339, 927, 4136, 963, 49120, 563, 419, 458, 423, 1051, 1170, 735, 862, 54, 199, 362, 509, 2685, 461, 388, 1296, 301, 623, 22899, 2539, 48003, 29825, 764, 449, 9116, 421, 422, 915, 829, 30457, 589, 199, 2388, 350, 2815, 7377, 267, 1223, 5593, 335, 419, 619, 421, 11566, 3392, 29191, 627, 3403, 531, 337, 9063, 43379, 199, 16287, 603, 1460, 1707, 532, 377, 625, 817, 1910, 398, 18323, 397, 341, 12718, 1201, 22909, 430, 482, 933, 6280, 2704, 199, 318, 1247, 1085, 390, 490, 523, 36322, 1011, 22455, 346, 17081, 10330, 446, 813, 292 ]

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

[ 14850, 387, 2103, 1236, 361, 1885, 199, 899, 298, 1418, 34007, 10527, 585, 263, 562, 401, 3513, 3196, 1338, 1655, 522, 694, 428, 833, 3636, 258, 1884, 275, 199, 279, 786, 489, 397, 793, 489, 1295, 1928, 404, 928, 292, 4589, 271, 2107, 285, 1391, 580, 2527, 532, 401, 1159, 2861, 199, 287, 1020, 1623, 3397, 17763, 340, 10302, 756, 9533, 2261, 36314, 1170, 18080, 37016, 1073, 11123, 733, 492, 35, 199, 2384, 273, 955, 858, 274, 745, 1272, 387, 701, 441, 342, 802, 4832, 1011, 385, 2934, 1542, 787, 32792, 533, 10141, 199, 1641, 452, 10704, 326, 717, 354, 1406, 20148, 21080, 24283, 45185, 527, 1432, 272, 632, 287, 2059, 1343, 1864, 1716, 52, 199, 7323, 1716, 21956, 199, 0, 199, 27367, 30244, 586, 31594, 1020, 396, 14719, 1405, 1420, 337, 775, 323, 7947, 387, 1933, 1985, 393, 15499, 1330, 18047, 199, 6886, 6736, 376, 3223, 8387, 16844, 5309, 381, 2046, 27874, 404, 11440, 32330, 1984, 1669, 35682, 1695, 917, 199, 51, 24598, 602, 1459, 8269, 356, 381, 9566, 781, 427, 455, 2196, 425, 49650, 605, 15161, 1353, 445, 1671, 10200, 4107, 199, 1051, 1975, 27838, 4121, 3924, 939, 1029, 6216, 342, 16974, 1032, 1042, 1479, 437, 436, 7977, 394, 2204, 270, 1391, 199, 2113, 326, 2640, 13496, 386, 2118, 47697, 1225, 33494, 259, 1042, 9728, 326, 2823, 2311, 296, 20031, 2422, 319, 4559, 409, 199, 1967, 3016, 2165, 317, 1801, 324, 23398, 331, 604, 1474, 3059, 6806, 25579, 9777, 607, 536, 8421, 828, 13086, 257, 199, 411, 11782, 25441, 376, 1552, 893, 24365, 708, 8413, 786, 20437, 462, 397, 385, 1198, 1304, 418, 3648, 39262, 391, 199, 2917, 293, 1286, 497, 7088, 914, 321, 993, 40807, 1237, 451, 257, 1797, 1032, 267, 1641, 713, 316, 1818, 1270, 4676, 455, 199, 39238, 2619, 1506, 1016, 14857, 10597, 16710, 1478, 312, 532, 26154, 412, 3155, 989, 2214, 4725, 8167, 49729, 199, 20371, 914, 1442, 28556, 2277, 357, 6320, 285, 1704, 396, 1353, 2001, 37610, 31815, 15484, 1480, 4637, 370, 639, 57, 199, 21856, 984, 21721, 324, 19512, 7527, 3013, 7304, 49, 1152, 12868, 3332, 37944, 775, 632, 19886, 6335, 986, 199, 3958, 415, 48906, 1257, 1115, 389, 926, 277, 16271, 6986, 730, 7311, 477, 3429, 500, 11532, 1510, 336, 812, 300, 199, 886, 353, 1738, 408, 1635, 1306, 325, 407, 487, 28699, 829, 8507, 559, 6233, 17936, 349, 599, 25337, 1610, 2422, 1682, 199, 408, 7401, 4882, 299, 2190, 431, 5742, 461, 329, 2447, 1415, 960, 32616, 17178, 359, 11458, 367, 926, 390, 976, 423, 199, 5631, 384, 1247, 8316, 367, 956, 650, 650, 8084, 699, 829, 9560, 483, 8572, 9067, 38798, 9029, 262, 17678, 569, 1047, 199, 369, 2295, 1585, 390, 386, 760, 22344, 509, 388, 805, 6515, 19939, 344, 530, 22499, 1526, 555, 8685, 5840, 9980, 52, 199, 20474, 41889, 1929, 3543, 2723, 11879, 313, 7307, 2169, 391, 517, 19079, 1046, 374, 1864, 1352, 325, 928, 2002, 664, 199, 471, 3938, 1951, 350, 714, 16377, 2873, 13705, 447, 1491, 11932, 313, 1787, 365, 1610, 324, 17519, 1935, 18829, 2266, 199, 2591, 49809, 1801, 359, 1391, 5589, 264, 767, 9493, 10231 ]

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

[ 11280, 1161, 1808, 3262, 14624, 40, 1150, 293, 382, 199, 9596, 656, 318, 465, 199, 0, 199, 2017, 281, 1005, 2582, 299, 1116, 329, 2045, 1821, 1420, 315, 970, 795, 1560, 949, 27565, 524, 398, 4285, 6321, 5249, 199, 9224, 33955, 1858, 501, 19928, 384, 9390, 385, 7341, 319, 5232, 4534, 824, 925, 11870, 612, 21184, 447, 3067, 1401, 199, 18146, 27116, 6395, 357, 445, 1170, 1812, 391, 7057, 618, 795, 3227, 3920, 1174, 9616, 350, 1881, 37336, 2040, 50, 199, 14414, 10241, 612, 504, 2008, 1410, 3470, 2453, 23879, 529, 430, 260, 1458, 26655, 20622, 27412, 981, 723, 768, 35, 199, 44, 2221, 1454, 1449, 295, 1023, 351, 540, 639, 459, 11271, 385, 646, 13368, 785, 523, 361, 1615, 688, 3873, 24982, 199, 1927, 403, 503, 4613, 12279, 391, 1202, 264, 814, 334, 1449, 279, 1113, 16747, 2324, 418, 500, 2002, 272, 854, 333, 792, 199, 42257, 7704, 7714, 607, 17740, 2561, 318, 966, 294, 2033, 22354, 1365, 7704, 373, 4889, 930, 1665, 26674, 199, 22607, 371, 487, 646, 461, 370, 1153, 3074, 593, 1391, 378, 5859, 377, 6549, 36556, 932, 13922, 400, 596, 403, 400, 199, 723, 7597, 299, 46504, 1012, 415, 4943, 2561, 10602, 1202, 18753, 440, 524, 551, 590, 580, 479, 11937, 19113, 199, 41141, 582, 3391, 1757, 356, 1108, 334, 833, 45335, 334, 3456, 932, 48160, 1819, 29130, 36811, 5593, 1645, 199, 438, 19268, 19052, 1152, 10264, 264, 602, 280, 1195, 18244, 4176, 2876, 21137, 1792, 26552, 25872, 957, 404, 1449, 199, 386, 3746, 4438, 13281, 284, 1980, 353, 6349, 11547, 31990, 785, 264, 4887, 26365, 985, 15223, 26815, 1286, 199, 2329, 29776, 350, 664, 11658, 12377, 564, 400, 7726, 40, 1886, 323, 42569, 2157, 10160, 1808, 8169, 335, 16390, 806, 199, 30800, 1869, 8074, 28234, 386, 2632, 1675, 354, 4006, 5453, 1434, 1722, 366, 6837, 807, 287, 767, 298, 782, 464, 199, 1382, 28116, 514, 5964, 14264, 273, 945, 260, 1026, 669, 270, 1006, 2735, 269, 1012, 386, 3662, 4506, 8815, 54, 199, 264, 708, 6433, 1347, 2783, 1391, 296, 538, 539, 3742, 461, 6862, 479, 3929, 829, 293, 8434, 580, 1405, 9532, 345, 199, 13153, 3373, 5328, 9306, 23365, 4641, 9256, 410, 6626, 597, 8852, 1017, 912, 267, 659, 349, 2449, 13683, 199, 644, 9763, 11027, 932, 14733, 597, 292, 3711, 2270, 409, 15030, 550, 4793, 318, 2346, 485, 6209, 322, 548, 199, 3018, 13709, 375, 7491, 950, 28185, 600, 8152, 15122, 16148, 8307, 623, 271, 25549, 1215, 41443, 3231, 199, 598, 5031, 270, 199, 0, 199, 1129, 334, 10243, 706, 292, 40136, 465, 523, 1229, 354, 454, 30722, 40444, 1122, 44239, 38732, 320, 7324, 1575, 3752, 199, 8886, 455, 3960, 815, 26931, 1435, 48, 1921, 286, 1390, 5287, 23620, 295, 1667, 272, 2315, 272, 1011, 800, 11664, 1796, 199, 541, 431, 737, 4227, 399, 1216, 1959, 3864, 502, 14596, 384, 1175, 1369, 441, 26733, 336, 43896, 14308, 3610, 35, 1868, 199, 3997, 623, 27697, 719, 1461, 2127, 433, 2454, 1999, 1848, 320, 1419, 362, 9352, 628, 395, 391, 23465, 1049, 1769, 7525, 199, 626, 475, 1856, 16540, 13302, 518, 3876, 380, 447, 611, 396 ]

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

[ 27825, 562, 317, 734, 15349, 325, 1182, 1401, 31648, 7728, 199, 4838, 392, 4496, 33223, 361, 532, 41156, 10122, 39274, 1572, 2319, 6023, 463, 7578, 18896, 291, 612, 43748, 199, 301, 668, 335, 2260, 43895, 595, 5633, 424, 4505, 417, 441, 20770, 694, 294, 798, 22345, 26686, 935, 38403, 26931, 199, 15420, 654, 337, 1285, 520, 280, 10844, 19498, 941, 10418, 2072, 8225, 388, 625, 334, 1245, 29866, 23505, 3491, 261, 199, 11877, 2852, 40348, 858, 411, 24533, 1833, 392, 2839, 1697, 1354, 2140, 761, 351, 556, 6185, 470, 440, 23922, 395, 2684, 46, 199, 450, 1026, 10117, 269, 752, 323, 956, 36629, 1721, 1278, 2464, 1249, 22382, 388, 349, 2616, 6174, 10924, 838, 448, 17331, 199, 400, 677, 966, 15822, 4540, 830, 14125, 326, 1460, 337, 3199, 286, 1220, 30339, 277, 2032, 13508, 334, 2787, 35141, 199, 1403, 17517, 1242, 1822, 14381, 359, 972, 19539, 29019, 1985, 1242, 49954, 1496, 9457, 1242, 28220, 334, 761, 281, 199, 391, 1225, 281, 1822, 500, 34009, 5050, 18238, 2948, 610, 942, 21120, 1651, 436, 659, 650, 1215, 1215, 336, 14432, 542, 199, 531, 293, 2330, 361, 6254, 635, 38838, 1118, 2239, 388, 6136, 564, 29487, 55, 1434, 407, 2308, 301, 1821, 10514, 13836, 199, 40, 935, 267, 1438, 257, 954, 55, 8657, 612, 367, 505, 1102, 284, 13953, 951, 288, 1813, 279, 1959, 1040, 2659, 688, 441, 451, 199, 284, 1580, 12454, 4108, 15393, 374, 422, 669, 409, 430, 367, 7017, 1112, 341, 2997, 263, 2977, 199, 0, 199, 5853, 436, 856, 271, 1532, 1338, 32679, 5758, 7420, 374, 457, 5696, 336, 2150, 40, 794, 31777, 2355, 393, 855, 318, 199, 334, 2743, 4705, 272, 3615, 935, 263, 978, 989, 319, 1290, 42266, 352, 2834, 17594, 750, 270, 1048, 11209, 743, 417, 49, 199, 636, 331, 972, 9668, 498, 2364, 42267, 5213, 457, 558, 8998, 342, 8091, 23249, 329, 6259, 356, 952, 282, 24864, 199, 49075, 421, 1020, 354, 2044, 1038, 406, 2473, 355, 10965, 708, 1157, 276, 1128, 333, 583, 2798, 463, 431, 4610, 436, 2416, 199, 367, 19327, 473, 4366, 1584, 32298, 268, 588, 4109, 264, 28954, 1072, 7441, 2169, 3950, 1568, 3343, 1176, 289, 1953, 199, 9124, 8774, 472, 364, 392, 1832, 558, 6430, 486, 2412, 444, 1695, 337, 5561, 2319, 641, 25538, 884, 897, 349, 199, 10159, 382, 1380, 282, 17312, 386, 2340, 481, 453, 9026, 1143, 30549, 369, 46500, 23292, 36783, 372, 1074, 7519, 377, 511, 199, 1090, 531, 315, 2407, 38391, 376, 537, 1087, 328, 375, 868, 9201, 268, 525, 2719, 38, 936, 286, 614, 1098, 12796, 996, 199, 2017, 34125, 44681, 360, 579, 336, 499, 770, 286, 2204, 16513, 1161, 3380, 345, 6289, 543, 10332, 25043, 1163, 272, 199, 13152, 298, 3079, 748, 2952, 3398, 7428, 4051, 20505, 864, 734, 387, 5050, 3073, 380, 1376, 414, 946, 1522, 1284, 55, 199, 44, 38667, 389, 330, 1456, 330, 892, 448, 446, 14494, 327, 545, 1218, 548, 20856, 33277, 1308, 12681, 10160, 1880, 653, 199, 19346, 46959, 511, 2164, 1092, 286, 2865, 23208, 742, 5554, 28026, 546, 445, 28224, 20551, 466, 573, 421, 473, 1567, 317, 199, 294, 2075 ]

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

[ 1326, 8637, 522, 22806, 664, 49739, 2499, 4106, 8884, 451, 445, 29235, 4784, 382, 969, 32364, 460, 199, 1171, 605, 708, 363, 835, 17606, 782, 768, 428, 608, 318, 4893, 435, 568, 12155, 1169, 340, 4536, 22465, 57, 5353, 35, 199, 2902, 983, 376, 4282, 561, 9034, 4614, 284, 17264, 434, 1121, 281, 437, 5983, 419, 4416, 984, 384, 469, 1622, 401, 612, 52, 199, 351, 7783, 12147, 356, 5384, 497, 3832, 987, 11695, 373, 495, 3326, 4920, 712, 3511, 10164, 291, 1475, 278, 3214, 199, 652, 4893, 1172, 12556, 15124, 721, 1031, 4215, 1775, 626, 42082, 3744, 1278, 564, 650, 295, 1563, 571, 6171, 1377, 199, 2572, 1260, 638, 315, 476, 5330, 896, 352, 4598, 471, 2210, 26143, 1455, 35337, 491, 4192, 1211, 6669, 1505, 314, 617, 199, 1004, 479, 11801, 2082, 339, 1172, 19661, 38938, 6239, 441, 986, 10851, 10889, 453, 1931, 339, 4659, 1673, 272, 2672, 199, 381, 2784, 28393, 199, 0, 199, 4188, 511, 35287, 718, 18579, 4546, 395, 28070, 675, 371, 617, 1284, 48475, 449, 702, 3885, 586, 270, 2634, 671, 1655, 199, 3823, 340, 4539, 1127, 413, 2101, 398, 330, 851, 374, 1241, 279, 1716, 31214, 509, 1704, 498, 17064, 290, 3232, 4148, 199, 650, 15227, 337, 2074, 279, 3707, 418, 1161, 410, 1106, 264, 663, 20033, 1292, 3000, 402, 1152, 279, 671, 16799, 2317, 337, 199, 35509, 471, 2000, 19699, 848, 368, 1347, 5765, 44999, 848, 21164, 6957, 1427, 340, 937, 24406, 409, 2606, 4264, 199, 1071, 4527, 476, 7036, 11435, 337, 7651, 37501, 1935, 986, 345, 474, 405, 350, 564, 1684, 6701, 16855, 3872, 975, 199, 713, 493, 10281, 359, 8049, 365, 887, 14153, 6641, 1013, 335, 756, 300, 548, 335, 832, 408, 18658, 473, 284, 564, 3351, 199, 51, 7539, 548, 8636, 558, 2839, 268, 1073, 280, 634, 1951, 331, 1090, 403, 13207, 470, 3199, 20654, 1214, 1044, 9471, 199, 51, 2492, 890, 17966, 720, 43799, 36566, 956, 712, 4006, 3177, 1042, 354, 13160, 1158, 437, 374, 1142, 359, 5190, 38, 199, 644, 263, 4097, 18834, 2214, 20406, 539, 13139, 511, 5168, 9268, 898, 328, 599, 284, 2134, 17156, 25234, 402, 8567, 199, 871, 339, 2028, 489, 401, 391, 21896, 14162, 455, 2204, 313, 693, 7723, 594, 940, 421, 368, 726, 336, 20138, 301, 653, 54, 199, 272, 703, 277, 1117, 354, 587, 48, 6519, 1065, 653, 362, 4339, 2666, 39881, 409, 524, 4067, 300, 613, 1283, 262, 1963, 1613, 199, 20722, 2936, 8404, 474, 1893, 22446, 499, 278, 848, 1012, 383, 6163, 9203, 975, 1255, 13520, 457, 766, 349, 1464, 199, 29396, 24590, 1887, 1221, 326, 587, 25446, 12488, 2001, 953, 428, 4037, 8370, 329, 4896, 392, 782, 297, 1276, 54, 199, 1144, 507, 342, 991, 295, 625, 14078, 828, 372, 20716, 352, 1210, 374, 2667, 24437, 4957, 795, 834, 24892, 453, 41879, 199, 966, 30188, 5013, 542, 1722, 11681, 3111, 26422, 811, 37737, 542, 30000, 1357, 717, 41611, 11605, 16371, 1635, 199, 7556, 351, 505, 704, 22863, 740, 708, 289, 1497, 342, 874, 266, 815, 312, 977, 45119, 17000, 508, 2977, 939, 25315, 199, 22502, 1892, 48897, 709, 538, 18247, 283 ]

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

[ 1957, 348, 1023, 401, 816, 4349, 9083, 1612, 313, 1339, 345, 2111, 3806, 199, 2965, 794, 7626, 1725, 621, 795, 517, 321, 929, 264, 907, 1390, 300, 11357, 339, 653, 468, 10187, 360, 1263, 323, 45, 199, 443, 729, 332, 4087, 328, 904, 1765, 9265, 19741, 988, 400, 1232, 14340, 723, 8807, 467, 380, 351, 1219, 406, 4829, 199, 287, 895, 31343, 199, 0, 199, 482, 16665, 719, 24359, 384, 3967, 5852, 288, 3540, 412, 2129, 1572, 505, 3410, 283, 617, 14888, 465, 522, 1496, 296, 199, 452, 541, 43814, 4668, 30911, 407, 1108, 435, 12937, 1052, 25861, 948, 1268, 532, 321, 409, 15870, 28254, 2318, 1676, 199, 577, 6799, 433, 8564, 403, 14509, 35300, 2236, 2032, 742, 1930, 363, 1953, 404, 20255, 292, 1703, 286, 932, 522, 326, 199, 1438, 385, 605, 317, 1195, 7283, 49625, 3144, 1707, 30098, 7476, 571, 5797, 932, 522, 5977, 312, 522, 11582, 54, 199, 522, 478, 932, 522, 7476, 571, 5797, 351, 4701, 280, 1906, 20122, 7476, 480, 5797, 292, 2198, 12123, 436, 1098, 199, 23356, 488, 5797, 3428, 5797, 292, 512, 1098, 16113, 3166, 25421, 14371, 7476, 488, 4079, 1588, 522, 5977, 361, 199, 522, 5977, 312, 768, 317, 1588, 522, 5977, 312, 768, 317, 932, 29160, 1707, 30636, 317, 932, 522, 317, 932, 522, 199, 23356, 2921, 317, 1588, 522, 7476, 571, 5797, 1588, 29160, 1707, 297, 12311, 932, 522, 7476, 571, 3144, 497, 199, 48, 3087, 317, 932, 280, 2298, 949, 29160, 1707, 11764, 7476, 512, 5797, 1588, 522, 317, 1603, 522, 315, 932, 33, 199, 10563, 1707, 297, 932, 522, 7476, 571, 5797, 1198, 522, 364, 932, 522, 317, 932, 522, 317, 1198, 522, 317, 932, 199, 522, 317, 1195, 3838, 29728, 19954, 7476, 571, 5797, 1198, 522, 317, 932, 522, 315, 1934, 522, 317, 932, 522, 199, 428, 932, 3838, 29728, 385, 595, 7476, 571, 5797, 1198, 522, 317, 932, 522, 11387, 345, 9433, 1198, 29160, 497, 199, 2511, 12311, 1591, 522, 317, 932, 522, 317, 932, 522, 7476, 2921, 317, 932, 522, 317, 1603, 522, 317, 932, 280, 199, 8886, 1603, 280, 760, 932, 522, 317, 1262, 15423, 404, 27803, 738, 932, 347, 4195, 458, 404, 317, 19488, 272, 1112, 49, 199, 515, 259, 1722, 19691, 13731, 744, 23242, 16890, 948, 1268, 532, 321, 409, 15870, 28254, 2318, 1676, 480, 20614, 27396, 199, 21854, 403, 14509, 377, 2178, 361, 1676, 11155, 413, 1451, 32528, 20255, 1588, 391, 11764, 571, 6945, 1906, 19954, 317, 199, 1195, 522, 512, 12483, 705, 7267, 280, 2298, 932, 522, 6618, 361, 634, 7476, 571, 3144, 1707, 11764, 368, 932, 199, 1011, 317, 1588, 10733, 404, 18949, 12311, 755, 522, 317, 1588, 522, 6618, 312, 522, 5977, 312, 522, 5977, 312, 522, 199, 5977, 312, 522, 317, 932, 522, 24943, 571, 5797, 1588, 522, 317, 1588, 522, 317, 932, 522, 317, 932, 347, 559, 11244, 199, 12911, 376, 1698, 43, 199, 0, 199, 1261, 3985, 5829, 261, 1652, 859, 6370, 11004, 335, 420, 333, 7483, 18799, 668, 33372, 358, 832, 1525, 36, 708, 199, 392, 257, 551, 1097, 4851, 265, 908, 8877, 33772, 13845, 1460 ]

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

[ 11388, 356, 519, 1152, 399, 11843, 44105, 349, 27620, 4260, 686, 1311, 371, 6576, 356, 6707, 1716, 373, 762, 578, 199, 2426, 10686, 966, 313, 691, 326, 1475, 364, 37920, 845, 1819, 739, 1054, 321, 4612, 2367, 1328, 533, 20404, 731, 48, 199, 356, 1048, 2196, 43, 199, 0, 199, 28385, 298, 1619, 265, 509, 15891, 343, 1278, 274, 869, 47383, 14324, 7410, 1148, 41669, 3837, 3785, 19823, 1620, 199, 11736, 5728, 461, 4199, 461, 22497, 1708, 760, 486, 600, 290, 10570, 10593, 12568, 266, 883, 48776, 27796, 492, 199, 835, 265, 589, 331, 912, 18194, 412, 644, 1164, 275, 974, 43829, 3011, 39943, 325, 5056, 966, 274, 9206, 199, 600, 356, 650, 2373, 2219, 265, 3816, 14375, 2274, 16279, 384, 16290, 11278, 646, 336, 49481, 1137, 426, 362, 702, 463, 199, 2329, 4397, 1690, 291, 497, 12245, 1305, 48, 2053, 850, 1266, 281, 413, 766, 1362, 300, 1099, 264, 1099, 382, 22272, 412, 45, 199, 12382, 527, 356, 929, 9079, 359, 1039, 9031, 1280, 1046, 6954, 283, 876, 284, 7961, 5793, 1273, 22871, 24065, 199, 49049, 1320, 1534, 904, 41723, 440, 371, 1915, 9115, 521, 14302, 469, 11452, 713, 539, 545, 24687, 856, 30956, 199, 1066, 499, 697, 4966, 3460, 274, 2530, 289, 1606, 7657, 448, 609, 8648, 46058, 9454, 1584, 330, 588, 351, 803, 275, 199, 37, 3828, 299, 1743, 8500, 2372, 414, 549, 4214, 859, 484, 724, 755, 14525, 1067, 14155, 1900, 15195, 505, 714, 199, 708, 276, 9626, 276, 29241, 551, 316, 11747, 1915, 370, 11816, 1389, 7051, 600, 23726, 447, 1783, 292, 749, 463, 1774, 199, 388, 375, 22403, 266, 1814, 1617, 2391, 275, 991, 4478, 1012, 1211, 370, 552, 296, 2229, 317, 26256, 7725, 762, 4533, 199, 7425, 6487, 364, 1498, 5930, 2513, 1752, 1571, 280, 1071, 1026, 273, 47748, 2492, 437, 1963, 9381, 1368, 455, 1243, 199, 3628, 1095, 456, 366, 2371, 565, 510, 3068, 1942, 520, 9842, 293, 1762, 463, 4288, 1215, 353, 366, 533, 298, 1031, 1150, 276, 199, 455, 511, 567, 395, 2518, 50, 1096, 262, 2278, 768, 27333, 350, 477, 541, 9842, 371, 1245, 259, 1198, 458, 4601, 721, 48327, 5846, 199, 520, 588, 467, 322, 2324, 1477, 408, 45011, 2005, 456, 681, 3825, 30871, 977, 418, 1544, 402, 2553, 474, 489, 46, 1794, 528, 670, 199, 37, 395, 383, 1640, 471, 5649, 2467, 429, 10744, 24598, 32699, 17676, 5407, 2626, 431, 2038, 40, 8950, 528, 3825, 395, 199, 405, 2701, 12553, 25669, 10869, 8950, 3017, 23117, 724, 1252, 334, 7207, 422, 23278, 3610, 22762, 1099, 481, 378, 199, 279, 2190, 3266, 3849, 275, 513, 1207, 373, 351, 774, 29416, 2121, 765, 374, 1394, 982, 296, 1110, 356, 21025, 5959, 54, 199, 356, 833, 12772, 1617, 376, 1370, 2328, 458, 34124, 7421, 339, 6098, 2208, 441, 8393, 368, 901, 37674, 889, 3102, 199, 46, 1093, 441, 2942, 199, 0, 199, 32802, 2473, 1042, 16303, 2597, 634, 277, 509, 558, 1524, 4830, 474, 3785, 3483, 12147, 3157, 510, 14114, 374, 199, 52, 5032, 366, 574, 2144, 959, 263, 1321, 637, 21034, 4395, 578, 329, 474, 28921, 12565, 1533, 1421, 1308, 199, 1835 ]

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

[ 3353, 4055, 1096, 324, 3326, 421, 316, 5032, 406, 11396, 496, 37963, 3078, 342, 656, 324, 1247, 421, 23948, 199, 5713, 4300, 30059, 7325, 367, 443, 4192, 704, 11486, 1647, 662, 1098, 38020, 1421, 1884, 333, 1318, 758, 283, 1096, 199, 265, 510, 32021, 1724, 284, 551, 1506, 2073, 10023, 908, 320, 830, 5407, 452, 291, 2077, 42740, 1236, 3079, 510, 325, 199, 44955, 1213, 356, 41, 5032, 558, 27363, 6700, 3927, 448, 1464, 2748, 956, 529, 1613, 348, 810, 48610, 637, 199, 2813, 776, 9226, 501, 7892, 556, 1263, 1642, 367, 1321, 264, 708, 3537, 1515, 10720, 596, 3703, 41166, 8647, 199, 265, 564, 5105, 1696, 327, 1527, 279, 1113, 7722, 341, 335, 451, 349, 1563, 371, 584, 1649, 336, 2960, 732, 324, 1225, 2783, 199, 26210, 432, 7167, 688, 6303, 32762, 259, 578, 350, 28878, 5042, 1300, 258, 1882, 5032, 371, 1841, 16180, 515, 199, 3145, 11909, 31768, 3559, 1168, 884, 1171, 1257, 8423, 1212, 34019, 1000, 2093, 20439, 375, 568, 455, 319, 1990, 54, 199, 466, 393, 9213, 1635, 263, 1188, 6544, 1947, 351, 1055, 6029, 707, 353, 35, 2591, 299, 5596, 38, 1224, 318, 2125, 915, 34047, 199, 39, 1546, 9560, 949, 350, 491, 373, 4002, 297, 2375, 1262, 45724, 1597, 491, 489, 273, 788, 2083, 372, 4826, 1219, 287, 199, 626, 400, 17809, 2310, 393, 1483, 1272, 344, 585, 324, 1048, 282, 1316, 997, 815, 30449, 959, 1638, 1168, 331, 1220, 501, 199, 41451, 817, 327, 523, 367, 27073, 779, 350, 762, 9017, 270, 2293, 1873, 342, 779, 1130, 359, 1575, 2070, 199, 359, 1175, 359, 7048, 927, 47877, 330, 1672, 51, 2346, 374, 759, 9967, 1127, 429, 7827, 15203, 1707, 762, 889, 49, 199, 341, 1573, 2019, 30449, 407, 9176, 21341, 7009, 6136, 356, 11062, 5423, 567, 433, 9586, 1127, 356, 1012, 436, 199, 38138, 1984, 943, 13359, 19400, 1988, 319, 1020, 1187, 7239, 470, 675, 300, 1240, 31124, 377, 830, 1826, 15196, 50, 199, 2325, 554, 6968, 10514, 1528, 2237, 288, 1921, 11201, 15827, 349, 2309, 338, 2659, 265, 465, 362, 411, 281, 1823, 409, 3638, 199, 446, 437, 37995, 321, 1596, 1648, 4827, 387, 17527, 1220, 34007, 323, 1735, 2058, 754, 363, 2879, 909, 9903, 383, 330, 199, 22901, 1921, 474, 46, 199, 0, 199, 26551, 1898, 1188, 379, 41913, 902, 398, 315, 953, 7988, 787, 362, 10304, 980, 5272, 489, 2466, 4032, 5708, 1783, 199, 39, 28960, 662, 654, 6868, 5522, 25161, 4971, 1142, 327, 1232, 358, 2599, 1446, 333, 1031, 32501, 799, 4762, 413, 199, 2434, 17929, 1537, 397, 336, 3776, 32319, 360, 5309, 269, 2735, 4368, 797, 4586, 475, 9419, 48474, 290, 2278, 341, 55, 199, 51, 995, 333, 1779, 1093, 281, 756, 260, 1539, 26164, 503, 1373, 9750, 358, 2397, 37578, 3511, 375, 1178, 366, 5396, 4773, 199, 1559, 9790, 298, 879, 406, 455, 43, 1385, 258, 592, 15952, 17572, 1499, 361, 554, 1327, 428, 508, 5687, 294, 698, 322, 439, 199, 1158, 4164, 626, 14418, 349, 596, 27167, 1568, 1105, 446, 35916, 18524, 940, 2533, 37943, 699, 23155, 283, 768, 33, 199, 27773, 407, 4043, 8590, 32224, 3162, 15156 ]

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

[ 401, 4268, 604, 357, 2295, 994, 3278, 387, 1172, 6815, 7035, 712, 199, 21037, 404, 3136, 10482, 28337, 36123, 3062, 1308, 391, 18429, 7420, 1195, 1178, 49993, 12512, 1813, 1918, 3965, 199, 367, 1214, 9390, 474, 21937, 602, 24055, 22788, 382, 990, 1338, 14748, 1954, 285, 422, 398, 3895, 257, 1145, 865, 2054, 43, 199, 28469, 1007, 5516, 418, 6523, 1748, 21098, 615, 22441, 602, 11526, 2003, 5650, 13382, 499, 391, 736, 604, 1896, 6745, 199, 347, 3955, 415, 13692, 1256, 1552, 259, 1203, 282, 689, 386, 3981, 2654, 55, 1102, 352, 779, 42585, 2841, 285, 1649, 1458, 199, 374, 1331, 1423, 554, 3571, 457, 18929, 1267, 40035, 21554, 1491, 5762, 1525, 7236, 382, 3132, 1981, 476, 489, 332, 199, 389, 969, 359, 45643, 1160, 391, 25613, 24103, 49789, 1331, 771, 352, 6442, 16118, 514, 10743, 1935, 49645, 33127, 199, 732, 407, 1755, 1202, 1793, 3616, 16994, 6934, 570, 23381, 1163, 347, 549, 38423, 638, 271, 551, 8264, 25116, 14396, 199, 24676, 1682, 3820, 11542, 30742, 449, 787, 535, 332, 25070, 1303, 50, 2521, 277, 9753, 1477, 540, 374, 1418, 24381, 1487, 199, 39, 471, 1255, 486, 3499, 44903, 7183, 292, 11864, 2448, 451, 2684, 49617, 17735, 46609, 1635, 13258, 1711, 381, 199, 22783, 10036, 1087, 338, 470, 383, 971, 328, 563, 586, 411, 35019, 530, 705, 13183, 442, 14421, 507, 389, 650, 18533, 199, 35945, 2402, 380, 4669, 1124, 5133, 23151, 400, 1164, 494, 422, 2928, 276, 6864, 1455, 323, 14743, 842, 5682, 740, 528, 199, 942, 283, 28868, 522, 605, 49639, 1216, 1699, 3527, 1417, 402, 455, 440, 16718, 3559, 321, 15242, 837, 388, 1512, 756, 199, 27128, 703, 9967, 199, 0, 199, 16776, 4323, 596, 4158, 1529, 613, 47777, 20962, 605, 959, 456, 2575, 42092, 564, 942, 12076, 4286, 280, 1644, 199, 1186, 689, 13841, 1142, 2767, 400, 16823, 345, 389, 1018, 377, 864, 585, 725, 340, 462, 8145, 996, 417, 404, 317, 656, 470, 199, 387, 831, 385, 2057, 1224, 5800, 14158, 469, 402, 1788, 1825, 353, 7440, 10952, 1292, 7392, 298, 1267, 426, 1071, 426, 1843, 199, 327, 981, 16264, 3543, 38773, 908, 39114, 1012, 3716, 279, 1950, 433, 3083, 365, 462, 12335, 2932, 327, 13208, 13484, 199, 42286, 3546, 327, 754, 1119, 661, 1689, 18365, 1210, 318, 6264, 463, 43195, 5713, 28502, 569, 430, 515, 386, 1239, 199, 503, 8858, 513, 382, 1611, 286, 4354, 2337, 7669, 672, 2047, 317, 983, 815, 353, 19275, 341, 2243, 7059, 2728, 426, 49, 199, 351, 9771, 282, 831, 279, 743, 458, 1523, 31439, 276, 1821, 9103, 384, 357, 6228, 323, 14950, 2395, 271, 8085, 9907, 47041, 199, 39, 437, 6052, 265, 985, 404, 2420, 1505, 19859, 2767, 12718, 1065, 576, 13209, 1199, 12062, 426, 400, 472, 4260, 260, 199, 386, 7480, 25638, 279, 17574, 564, 46457, 1348, 942, 466, 352, 4265, 445, 2004, 714, 22101, 574, 932, 578, 286, 1580, 521, 199, 34358, 1046, 999, 315, 931, 7352, 32481, 566, 564, 917, 391, 1918, 1575, 617, 1647, 297, 1017, 340, 393, 1710, 1915, 1972, 199, 4525, 19678, 984, 6798, 5603, 914, 386, 1011, 40, 1625, 4170, 431, 353, 38311 ]

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

[ 2143, 1593, 277, 3856, 351, 997, 199, 1886, 412, 4323, 746, 444, 24360, 433, 820, 390, 514, 4842, 1967, 398, 13280, 38806, 4842, 849, 364, 2803, 331, 2288, 199, 413, 1334, 448, 263, 6348, 815, 323, 2573, 24915, 2174, 370, 413, 16781, 540, 287, 2819, 567, 369, 1388, 334, 10397, 684, 57, 199, 36, 2546, 317, 1465, 27171, 532, 680, 25343, 1847, 333, 12413, 1272, 617, 37995, 376, 2276, 381, 1214, 458, 3020, 1456, 434, 199, 6894, 5136, 379, 50069, 1559, 9914, 478, 27383, 830, 2174, 1249, 467, 22043, 35341, 2370, 26568, 454, 12481, 1077, 199, 11752, 333, 1739, 26656, 484, 21684, 1656, 352, 596, 532, 758, 282, 2132, 5261, 1544, 36702, 30278, 24262, 1535, 329, 199, 33248, 421, 783, 36604, 19861, 769, 4742, 433, 27813, 333, 1464, 508, 644, 883, 389, 11704, 3548, 2715, 2431, 36326, 199, 3141, 357, 829, 488, 373, 4391, 524, 437, 1225, 626, 273, 1601, 8894, 2470, 358, 373, 1407, 378, 5865, 739, 199, 0, 199, 385, 1354, 405, 384, 9251, 470, 16833, 1877, 396, 22940, 493, 850, 3385, 16032, 690, 328, 848, 275, 49737, 660, 43185, 199, 1147, 43186, 1678, 22255, 4653, 2462, 4323, 39624, 1246, 1110, 391, 8926, 15760, 804, 24845, 831, 725, 2906, 427, 199, 565, 293, 493, 24310, 439, 2145, 433, 611, 391, 11763, 293, 1327, 387, 5455, 431, 1296, 27266, 352, 15601, 3262, 266, 6101, 199, 599, 1190, 838, 17946, 18470, 2312, 757, 945, 468, 15500, 1316, 450, 10035, 446, 528, 16013, 2478, 22981, 1208, 483, 35, 199, 2478, 320, 1920, 270, 780, 413, 9067, 476, 746, 431, 511, 2058, 1075, 5706, 17402, 777, 13277, 402, 6990, 1752, 1706, 199, 257, 989, 31936, 12507, 642, 1142, 18263, 20972, 399, 11566, 2953, 47715, 1009, 9638, 41973, 2391, 7279, 199, 290, 5672, 15966, 9848, 772, 390, 12978, 400, 1984, 1612, 6925, 635, 3024, 11098, 1382, 19458, 38920, 1448, 338, 199, 568, 7760, 344, 1625, 282, 25271, 446, 2695, 451, 14294, 344, 1448, 2362, 563, 4170, 1667, 567, 293, 1720, 604, 432, 384, 328, 199, 14314, 451, 399, 1762, 8690, 282, 1117, 417, 2055, 508, 1073, 18443, 368, 11678, 408, 2886, 270, 1115, 328, 921, 1550, 342, 199, 437, 13447, 15016, 32868, 363, 5104, 776, 518, 1396, 411, 28364, 713, 14923, 1168, 765, 1498, 355, 962, 606, 42468, 199, 479, 725, 290, 926, 476, 615, 263, 1669, 3922, 14377, 2091, 270, 2287, 411, 2225, 2640, 44548, 873, 411, 3808, 2049, 18954, 199, 349, 1303, 11636, 6058, 994, 542, 338, 49200, 1247, 5280, 359, 33368, 1097, 31438, 37764, 402, 606, 354, 368, 26450, 199, 40619, 259, 5217, 361, 359, 981, 2238, 344, 29320, 1166, 263, 1514, 564, 543, 25923, 897, 49963, 853, 25100, 2703, 199, 12635, 425, 2392, 5567, 364, 1397, 9019, 929, 433, 9882, 8250, 28272, 1482, 4506, 5939, 363, 897, 7585, 38, 199, 285, 21321, 402, 1781, 44653, 316, 1636, 377, 1172, 4763, 1539, 41191, 21140, 725, 373, 511, 36590, 1981, 1264, 44303, 199, 37, 7557, 3330, 405, 1378, 518, 2179, 39724, 1584, 345, 2422, 816, 283, 969, 385, 3341, 276, 2633, 328, 1711, 4294, 549, 199, 12077, 23420, 719, 1461, 7331, 1528, 2385 ]

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

[ 18130, 451, 3654, 25201, 1079, 372, 626, 372, 583, 692, 9196, 967, 340, 199, 8375, 749, 1373, 13685, 287, 1993, 396, 3384, 272, 2174, 452, 1581, 295, 11891, 1100, 30831, 470, 15108, 38, 1461, 359, 45, 199, 1306, 335, 493, 365, 1662, 38883, 4866, 4752, 354, 451, 439, 28346, 1395, 25181, 2350, 1703, 293, 949, 3911, 294, 1390, 41, 199, 403, 3810, 445, 199, 0, 199, 2367, 45341, 399, 861, 469, 6881, 966, 558, 681, 3387, 1099, 2483, 2921, 19071, 3712, 757, 319, 1083, 3068, 746, 199, 48854, 6985, 14254, 510, 1278, 358, 2282, 6827, 545, 263, 772, 5255, 751, 459, 33479, 11609, 3308, 386, 35173, 199, 16250, 353, 752, 1882, 12470, 418, 439, 2078, 13712, 1352, 339, 989, 290, 4707, 645, 356, 9519, 628, 362, 1639, 18859, 199, 44289, 536, 35, 705, 295, 1477, 4582, 775, 294, 1070, 644, 538, 347, 46754, 3385, 12814, 687, 8955, 1427, 38541, 199, 51, 505, 2831, 1996, 42406, 41417, 15387, 36, 1882, 293, 1169, 269, 5707, 378, 711, 6758, 6668, 297, 583, 355, 1156, 49, 199, 3521, 956, 414, 612, 276, 1665, 369, 15514, 800, 440, 1196, 21059, 19275, 312, 1441, 361, 952, 2996, 13312, 1198, 910, 49, 199, 456, 482, 1204, 312, 665, 416, 1014, 19760, 2243, 585, 669, 43984, 1325, 11707, 2083, 262, 558, 4584, 14594, 285, 1753, 199, 1477, 4591, 423, 564, 20848, 2459, 4351, 26060, 2735, 361, 48777, 694, 1468, 2323, 1198, 403, 3690, 6609, 199, 6618, 314, 15125, 19757, 2424, 1518, 591, 353, 44529, 775, 259, 985, 600, 1919, 1653, 752, 57, 2335, 447, 45023, 899, 199, 573, 2046, 30187, 6564, 257, 1335, 16836, 341, 2440, 23226, 1331, 2435, 10160, 2171, 1109, 22987, 640, 279, 966, 33, 199, 2456, 318, 2594, 1427, 546, 527, 371, 800, 3769, 267, 868, 18128, 2298, 410, 718, 6905, 35502, 4232, 5991, 281, 199, 8442, 1391, 286, 1038, 14456, 6279, 428, 268, 706, 3636, 25247, 1134, 372, 8528, 35, 645, 327, 3129, 30652, 356, 460, 199, 4724, 622, 762, 758, 356, 15030, 325, 691, 1796, 298, 1242, 266, 1234, 610, 6299, 11744, 261, 698, 398, 1654, 6456, 199, 1194, 2632, 369, 1440, 7868, 1561, 6540, 733, 29174, 6838, 34928, 1479, 24777, 521, 941, 783, 282, 4912, 495, 199, 730, 439, 2182, 5012, 281, 1028, 1906, 315, 619, 2818, 519, 3217, 867, 294, 29137, 390, 526, 385, 373, 13799, 373, 467, 199, 21856, 406, 582, 346, 1152, 295, 23788, 3126, 9419, 6172, 356, 4123, 1607, 474, 351, 1163, 7309, 10258, 777, 33, 199, 3987, 9314, 291, 771, 331, 20299, 610, 3296, 40, 1944, 3263, 523, 3848, 8893, 664, 4784, 3625, 1093, 912, 33, 199, 39, 572, 282, 530, 1060, 290, 2245, 263, 2460, 317, 553, 4945, 314, 867, 37991, 22199, 298, 2215, 7247, 31146, 6456, 199, 10878, 356, 4396, 14638, 335, 27771, 258, 4845, 1911, 855, 49826, 10042, 1374, 480, 1266, 757, 677, 37138, 199, 20840, 1234, 12703, 199, 0, 199, 8869, 384, 2728, 1724, 1260, 269, 2855, 453, 2043, 879, 2226, 335, 22158, 616, 1013, 410, 1337, 4234, 500, 392, 3216, 199, 11851, 434, 701, 2895, 630, 21231, 4612, 335, 487, 1032, 589, 3565, 3349 ]

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

[ 300, 20080, 6123, 1518, 11026, 31824, 199, 512, 3735, 543, 420, 546, 17548, 10095, 2932, 357, 4433, 718, 394, 1752, 522, 17864, 316, 869, 292, 468, 12429, 32886, 199, 6263, 3110, 1839, 313, 902, 27008, 1608, 22802, 2310, 4915, 1089, 7611, 345, 382, 1048, 300, 4807, 325, 13279, 413, 199, 15483, 4800, 12210, 1436, 31186, 10786, 400, 1548, 1154, 13719, 279, 1619, 592, 1096, 264, 848, 6152, 1030, 5216, 199, 30335, 7253, 348, 827, 20853, 34617, 392, 652, 1862, 1121, 273, 586, 22637, 1669, 6015, 2109, 327, 583, 13590, 904, 199, 357, 4331, 638, 3524, 369, 4154, 3247, 938, 2320, 41424, 9120, 2712, 563, 45, 1485, 319, 612, 45920, 21741, 1063, 351, 199, 428, 343, 1654, 2918, 5069, 3234, 935, 2247, 1170, 1054, 325, 973, 3886, 26155, 326, 3643, 606, 1646, 373, 404, 744, 199, 37, 11138, 28118, 352, 38980, 3229, 3650, 404, 335, 745, 639, 366, 2779, 297, 2964, 264, 703, 316, 2951, 2432, 25924, 199, 21115, 494, 373, 1880, 264, 18247, 295, 10224, 842, 1041, 327, 7384, 1064, 364, 2689, 9902, 533, 384, 530, 47993, 2010, 199, 979, 17508, 768, 6222, 2262, 8266, 50, 6250, 3108, 8560, 3593, 1237, 10066, 1808, 3180, 1015, 8736, 26368, 199, 10623, 10900, 1058, 296, 8325, 3221, 5595, 640, 450, 366, 35956, 435, 758, 415, 822, 340, 7254, 1675, 496, 9191, 45, 199, 1731, 1604, 1138, 1332, 30182, 2096, 9713, 332, 39319, 453, 1301, 29422, 808, 578, 2467, 33205, 1856, 2728, 275, 199, 471, 3362, 365, 874, 1792, 433, 2107, 1699, 342, 447, 21569, 1117, 312, 16041, 7117, 353, 4819, 5146, 6922, 1201, 969, 36, 199, 264, 736, 296, 756, 291, 1637, 39140, 378, 2972, 12810, 982, 459, 721, 361, 383, 325, 626, 975, 37898, 19632, 493, 3175, 299, 199, 773, 39139, 833, 285, 1714, 635, 2706, 456, 2175, 415, 346, 1022, 384, 1342, 18527, 370, 431, 458, 383, 721, 22245, 418, 423, 199, 51, 1491, 280, 524, 660, 409, 15715, 5261, 800, 35, 1079, 273, 2308, 551, 415, 2129, 656, 1501, 773, 22775, 1643, 7482, 33, 199, 383, 9232, 364, 12943, 646, 670, 22285, 1906, 3313, 284, 29635, 1657, 498, 319, 617, 722, 7794, 1035, 301, 1071, 1002, 199, 258, 756, 503, 2441, 34663, 544, 3767, 358, 45994, 437, 1204, 547, 338, 31058, 829, 336, 3628, 6355, 295, 434, 38950, 660, 199, 397, 2484, 21121, 199, 0, 199, 35116, 4293, 316, 1362, 21110, 576, 8506, 4288, 357, 34572, 990, 494, 435, 1365, 25423, 2738, 272, 23836, 557, 414, 199, 23111, 293, 12521, 326, 2443, 1016, 6579, 354, 11283, 351, 509, 338, 395, 439, 804, 257, 1006, 4529, 629, 2509, 25399, 199, 3222, 6585, 10796, 42929, 552, 725, 326, 9690, 1922, 422, 409, 4313, 270, 952, 46971, 1161, 791, 372, 11996, 2892, 199, 1391, 281, 5173, 956, 3480, 392, 1248, 438, 764, 27297, 812, 4924, 8093, 1093, 272, 762, 282, 454, 706, 342, 1371, 293, 199, 837, 1649, 335, 719, 629, 318, 373, 457, 12278, 1220, 1744, 274, 1290, 293, 16712, 6211, 1178, 980, 10197, 5434, 4511, 199, 35244, 5356, 500, 4235, 1604, 849, 12775, 875, 549, 30594, 1329, 7778, 476, 10476, 299, 7000, 29314 ]

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

[ 385, 2736, 199, 22944, 2076, 347, 1283, 289, 3703, 282, 985, 12518, 363, 4491, 2626, 667, 376, 915, 1020, 6953, 325, 2772, 28546, 199, 1427, 1387, 1064, 4202, 875, 35581, 478, 5834, 1564, 9292, 1118, 4042, 11477, 315, 3678, 20494, 514, 895, 334, 199, 426, 1398, 16782, 514, 895, 440, 787, 377, 3873, 1114, 1587, 357, 8612, 12867, 33206, 1266, 479, 621, 29792, 514, 199, 530, 48, 729, 46120, 690, 11070, 382, 2167, 765, 862, 2554, 38819, 2538, 4167, 537, 14964, 24726, 5919, 199, 966, 374, 1229, 369, 5018, 374, 1854, 1937, 431, 389, 420, 863, 1151, 358, 1082, 21538, 529, 4299, 837, 277, 633, 493, 199, 342, 18350, 667, 1050, 470, 2298, 8423, 1206, 405, 531, 312, 518, 941, 264, 1256, 49400, 26434, 703, 730, 4262, 5619, 199, 356, 5248, 792, 325, 1163, 362, 4495, 342, 3759, 268, 20836, 1035, 291, 1319, 258, 2891, 3194, 1528, 2488, 6220, 199, 376, 1037, 31818, 1319, 21921, 29398, 2663, 1292, 442, 315, 780, 11021, 20478, 393, 37047, 684, 588, 17084, 1010, 36, 199, 16677, 534, 835, 526, 397, 389, 1154, 405, 7772, 391, 2364, 334, 46993, 820, 25581, 387, 2012, 883, 5083, 1451, 19209, 199, 561, 7804, 726, 6927, 478, 30623, 272, 1709, 668, 9023, 313, 22209, 817, 11084, 328, 3759, 2293, 578, 3383, 54, 199, 312, 1233, 337, 6508, 483, 6233, 925, 358, 15770, 359, 471, 4329, 405, 39194, 15569, 426, 21216, 10379, 442, 47677, 199, 44, 9067, 10689, 710, 337, 898, 287, 620, 476, 3974, 1885, 279, 1638, 5655, 596, 1958, 8564, 1220, 833, 895, 7780, 199, 38610, 1467, 11085, 18822, 274, 6665, 628, 281, 1908, 687, 332, 894, 270, 1074, 7061, 417, 388, 588, 444, 346, 724, 424, 199, 792, 2099, 17269, 199, 0, 199, 382, 1610, 428, 1276, 10361, 2052, 1470, 283, 5991, 437, 22366, 1122, 8133, 1033, 492, 343, 2210, 335, 3726, 3687, 50, 199, 265, 519, 7241, 346, 38268, 1270, 1103, 371, 525, 20039, 844, 278, 34214, 21961, 2759, 259, 1512, 434, 6178, 509, 50, 199, 1092, 5387, 762, 16183, 9699, 24430, 2348, 483, 25830, 394, 3459, 479, 9031, 398, 484, 25508, 1527, 47621, 26687, 199, 3143, 1185, 313, 520, 384, 1952, 13771, 4903, 325, 929, 1675, 19276, 4072, 705, 2695, 875, 382, 13901, 30019, 22740, 199, 1812, 2131, 15963, 2622, 385, 551, 23710, 22747, 687, 384, 535, 13899, 317, 617, 1134, 669, 484, 34145, 457, 2934, 2507, 199, 1358, 647, 385, 1329, 391, 609, 387, 3446, 669, 9124, 5279, 3137, 276, 721, 343, 653, 480, 2379, 533, 11826, 23639, 199, 4451, 316, 2352, 6070, 785, 399, 408, 2553, 2739, 408, 2467, 289, 10580, 375, 391, 1647, 18520, 258, 779, 11155, 268, 454, 199, 2016, 564, 291, 777, 37662, 873, 2351, 391, 1135, 2520, 5374, 444, 5309, 400, 965, 41046, 1311, 773, 1850, 18587, 199, 36, 783, 676, 351, 11326, 1304, 1220, 358, 698, 29892, 1673, 3226, 31622, 1993, 1084, 483, 739, 573, 39549, 2609, 46, 199, 1176, 406, 422, 1909, 19224, 5399, 1956, 418, 33535, 4869, 30463, 1719, 409, 5566, 6521, 357, 2039, 472, 401, 617, 199, 15615, 20960, 935, 322, 875, 374, 1993, 23197, 390, 911 ]

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

[ 34210, 1217, 478, 943, 12195, 1111, 1385, 3469, 1653, 921, 199, 45647, 5339, 801, 40477, 32299, 20692, 924, 8507, 30987, 844, 34118, 482, 1350, 43810, 3752, 510, 8958, 199, 44, 4879, 334, 1423, 362, 1167, 4613, 1222, 331, 968, 466, 14294, 44719, 18264, 885, 478, 826, 3420, 601, 26999, 46, 199, 2479, 4717, 298, 2627, 2151, 5303, 278, 1662, 1050, 1793, 5928, 14958, 1915, 2362, 314, 13663, 2199, 412, 8466, 35, 199, 356, 6987, 29234, 1622, 3447, 7955, 392, 4624, 1772, 912, 938, 21515, 924, 266, 987, 341, 17353, 265, 10995, 199, 4024, 414, 715, 6869, 826, 23029, 433, 12933, 5482, 1865, 15791, 290, 648, 266, 23716, 1154, 1936, 1175, 346, 1013, 199, 448, 1848, 1007, 343, 3793, 35, 1108, 4957, 1817, 1699, 1017, 963, 1184, 352, 1460, 1186, 765, 2736, 335, 856, 6557, 199, 1593, 5545, 338, 1212, 35, 1207, 335, 762, 36, 3709, 2646, 2275, 286, 551, 390, 2307, 1379, 1290, 31275, 4476, 2652, 199, 30148, 374, 30086, 324, 13402, 1292, 477, 2219, 1555, 354, 807, 16880, 41939, 459, 1253, 316, 15515, 351, 3460, 33049, 199, 8821, 3992, 411, 199, 0, 199, 467, 520, 27498, 567, 262, 1147, 638, 24375, 4903, 347, 554, 287, 628, 11995, 626, 278, 17187, 2472, 282, 990, 1808, 299, 1559, 38, 199, 44, 4672, 4480, 359, 29188, 4748, 1628, 654, 321, 9967, 749, 1410, 499, 9797, 867, 271, 21526, 294, 41980, 552, 199, 5401, 975, 4900, 592, 27059, 345, 10814, 640, 301, 497, 5059, 667, 18367, 339, 838, 28681, 1234, 25047, 267, 6411, 575, 199, 764, 751, 11840, 490, 3679, 469, 680, 21556, 3154, 16648, 496, 1080, 319, 9968, 327, 1240, 929, 407, 2983, 463, 8895, 199, 294, 2700, 33230, 2787, 15136, 1080, 1297, 2010, 324, 409, 5303, 383, 15095, 2498, 34393, 989, 838, 369, 2294, 22370, 199, 36675, 1276, 722, 328, 830, 1407, 1956, 31308, 1544, 1813, 333, 867, 352, 608, 15675, 27778, 532, 4228, 5144, 43541, 199, 2373, 354, 3550, 531, 357, 5442, 14612, 4551, 1879, 17213, 6841, 483, 27214, 267, 885, 38625, 17742, 894, 267, 838, 199, 369, 11187, 1155, 1356, 779, 40155, 1808, 24158, 1571, 398, 22952, 388, 29219, 838, 369, 2382, 22213, 382, 4729, 440, 199, 409, 719, 741, 5492, 463, 3113, 410, 2165, 26735, 2346, 2717, 2249, 3151, 503, 10957, 422, 363, 1101, 47643, 28974, 199, 335, 1639, 288, 838, 14219, 444, 363, 14489, 698, 351, 6374, 752, 261, 3868, 407, 2448, 40072, 612, 393, 382, 4217, 262, 199, 369, 554, 9352, 412, 3022, 4494, 459, 1988, 269, 807, 912, 300, 881, 1750, 330, 40667, 384, 605, 1466, 435, 8722, 17602, 199, 295, 660, 2863, 566, 26431, 317, 468, 35, 1623, 352, 796, 7146, 369, 399, 871, 696, 28976, 15190, 1526, 335, 2923, 729, 33, 199, 1387, 413, 1491, 399, 5668, 7921, 297, 15058, 4177, 14674, 600, 1421, 295, 781, 332, 926, 14155, 1701, 2268, 357, 199, 380, 6273, 3424, 584, 14789, 15499, 2002, 440, 924, 1030, 11911, 429, 5303, 361, 2945, 453, 640, 17347, 1994, 4320, 199, 1301, 18952, 495, 667, 530, 450, 380, 3246, 2469, 29834, 608, 4820, 7080, 412, 8652, 1049, 488, 6194, 564, 416, 399 ]

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

[ 199, 19596, 1281, 376, 3605, 14237, 478, 3530, 390, 502, 19035, 1032, 5765, 321, 1597, 372, 5729, 19656, 457, 660, 451, 1814, 199, 26271, 12946, 549, 383, 7745, 25055, 1406, 16153, 1914, 315, 831, 20920, 287, 588, 11250, 376, 2902, 1619, 549, 950, 8259, 199, 604, 520, 471, 729, 437, 1013, 650, 315, 1128, 2394, 645, 437, 15765, 449, 736, 32518, 320, 670, 517, 617, 49592, 24065, 2100, 199, 37577, 2452, 467, 578, 2176, 535, 6923, 10586, 27241, 1001, 265, 8714, 727, 1107, 278, 1613, 328, 2489, 16339, 1026, 199, 257, 1344, 4358, 199, 0, 199, 1145, 326, 398, 9882, 2585, 267, 720, 16900, 3277, 28964, 1607, 1000, 3101, 1238, 270, 5531, 7488, 452, 283, 2744, 199, 31482, 8444, 43594, 8559, 1108, 352, 4237, 2475, 260, 1651, 291, 10808, 1713, 1202, 11574, 9948, 437, 2855, 1706, 199, 610, 2219, 479, 2268, 1386, 395, 14064, 2829, 443, 995, 367, 1454, 265, 1794, 334, 14276, 343, 630, 5175, 277, 22581, 9640, 199, 1184, 600, 794, 340, 6094, 514, 21528, 2533, 401, 382, 1282, 468, 339, 1649, 1871, 272, 820, 287, 1980, 367, 1570, 2727, 199, 1155, 30187, 14580, 865, 732, 3930, 367, 418, 690, 506, 374, 588, 26617, 445, 4487, 464, 342, 1166, 6815, 1364, 429, 199, 37, 7992, 410, 890, 341, 943, 14933, 17575, 301, 2761, 27397, 2457, 1644, 22213, 320, 2066, 27886, 499, 807, 336, 55, 199, 317, 764, 271, 1220, 10550, 17716, 2488, 259, 1915, 330, 1740, 13065, 38052, 511, 1574, 341, 1159, 340, 908, 280, 25749, 199, 13896, 1076, 1168, 46131, 744, 269, 3356, 346, 1543, 266, 1327, 531, 374, 14230, 807, 666, 971, 1219, 14079, 1061, 704, 199, 5757, 1791, 672, 441, 45429, 4366, 272, 1616, 11517, 273, 23654, 2420, 19060, 4247, 3588, 27743, 2177, 946, 426, 199, 2329, 280, 1817, 342, 1944, 332, 409, 3252, 10427, 776, 326, 653, 362, 1250, 426, 5199, 762, 266, 10742, 1394, 426, 340, 14076, 199, 21861, 16825, 4820, 8251, 4039, 300, 6503, 6891, 5939, 647, 1609, 270, 957, 4358, 395, 13967, 20818, 14069, 46, 199, 1708, 864, 411, 2292, 420, 11011, 675, 35822, 1156, 280, 11357, 289, 454, 5242, 575, 498, 2578, 43105, 5564, 371, 199, 891, 484, 1378, 590, 293, 930, 4372, 21007, 1034, 257, 16111, 452, 1057, 35751, 1794, 257, 673, 48, 2666, 7393, 19226, 199, 1083, 413, 322, 30664, 1067, 29518, 374, 1469, 494, 13743, 1153, 350, 873, 29978, 617, 12000, 2182, 1685, 1423, 549, 291, 199, 4252, 332, 1594, 483, 359, 644, 605, 469, 6538, 1750, 521, 1282, 14463, 351, 578, 389, 39753, 2549, 403, 26763, 364, 1002, 199, 26428, 37833, 1150, 816, 21577, 394, 7337, 333, 537, 8574, 1652, 452, 2299, 26174, 595, 329, 1707, 334, 762, 561, 356, 199, 32976, 22463, 1010, 1601, 21162, 349, 24930, 4174, 265, 1186, 9712, 1409, 315, 5550, 483, 5287, 4492, 745, 199, 39, 27641, 1864, 949, 438, 1479, 364, 1515, 337, 8138, 1214, 315, 626, 570, 361, 8850, 7934, 437, 520, 7103, 277, 1584, 199, 266, 610, 925, 316, 2785, 327, 2104, 905, 7694, 535, 852, 362, 393, 1252, 1462, 326, 457, 859, 44887, 849, 448, 1386, 263, 199, 1198 ]

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

[ 356, 11884, 199, 0, 199, 1964, 280, 1695, 334, 837, 507, 3144, 378, 6186, 4631, 12472, 531, 356, 470, 5494, 360, 4646, 1527, 38117, 617, 370, 1652, 199, 51, 453, 818, 366, 954, 364, 3999, 1484, 7622, 454, 7626, 22513, 2318, 10893, 454, 4354, 32182, 1307, 328, 3017, 26756, 199, 774, 389, 1613, 42121, 568, 7493, 1254, 277, 1782, 21581, 1895, 458, 506, 17467, 5669, 1264, 499, 2684, 7214, 3357, 38, 199, 762, 11498, 2654, 19271, 785, 8426, 635, 321, 1710, 31971, 757, 801, 459, 399, 48798, 10185, 785, 275, 874, 453, 199, 364, 1471, 15050, 354, 9987, 4369, 3163, 9676, 263, 1136, 435, 3243, 1965, 17924, 452, 396, 618, 283, 1712, 11264, 547, 54, 199, 369, 12644, 459, 394, 2049, 2336, 10772, 20526, 453, 296, 8723, 415, 401, 1295, 405, 1267, 438, 8139, 514, 338, 631, 3203, 199, 44, 4639, 9314, 520, 11074, 2420, 458, 1599, 4558, 1169, 2841, 394, 363, 1610, 756, 684, 288, 547, 350, 1961, 4374, 726, 4339, 199, 748, 9760, 318, 24378, 1112, 1015, 29161, 419, 1263, 1307, 348, 602, 38133, 2336, 3833, 797, 36953, 1295, 1999, 969, 199, 40919, 343, 1311, 508, 2919, 8819, 567, 35854, 28446, 1630, 24263, 668, 11111, 434, 1332, 335, 1353, 19420, 346, 608, 499, 199, 508, 485, 497, 12459, 1168, 5634, 648, 12784, 894, 10903, 830, 2293, 464, 831, 1224, 8871, 4002, 1523, 453, 21142, 199, 18413, 656, 3858, 1165, 453, 385, 3155, 463, 10660, 394, 1761, 428, 4008, 7856, 663, 3642, 2386, 18825, 42992, 28414, 199, 32495, 327, 1417, 446, 2559, 327, 10761, 513, 3406, 283, 9905, 354, 1218, 886, 1830, 45007, 26768, 13978, 1157, 604, 8389, 199, 2483, 499, 31913, 1375, 293, 1541, 532, 2199, 324, 496, 1263, 495, 541, 1224, 282, 1705, 656, 13607, 401, 32102, 14901, 545, 199, 290, 31065, 470, 1693, 12875, 2103, 4510, 650, 16262, 985, 377, 387, 638, 395, 275, 1612, 348, 514, 548, 5605, 23780, 1756, 199, 6451, 262, 2146, 33952, 650, 322, 1350, 287, 5678, 6381, 28417, 368, 8544, 33378, 1699, 453, 389, 730, 439, 543, 549, 199, 4304, 415, 1351, 644, 4964, 1586, 13389, 23347, 1791, 678, 894, 525, 402, 1021, 426, 549, 26589, 585, 578, 496, 477, 199, 44107, 4197, 325, 4873, 26817, 7179, 2305, 741, 16602, 549, 19619, 739, 24987, 1296, 404, 647, 497, 6588, 1015, 199, 35, 4278, 392, 961, 1006, 357, 1779, 287, 1637, 1081, 2394, 27262, 403, 10559, 542, 335, 1437, 868, 8601, 2200, 287, 997, 199, 44, 506, 7992, 721, 337, 12409, 18041, 19359, 1923, 617, 410, 1072, 379, 1027, 424, 5750, 8726, 11101, 1447, 3686, 475, 199, 1508, 5399, 3540, 199, 0, 199, 375, 1890, 579, 3631, 386, 1124, 23648, 902, 289, 937, 36, 4524, 300, 3913, 1224, 292, 2574, 1165, 2977, 975, 284, 1652, 199, 277, 1911, 34757, 11402, 15184, 11115, 17928, 832, 1131, 492, 10112, 328, 791, 868, 15369, 10278, 23161, 5346, 199, 1651, 333, 459, 876, 422, 32132, 359, 2815, 1191, 5739, 18013, 1579, 25647, 1176, 394, 1492, 2810, 583, 1082, 19601, 199, 26116, 551, 364, 8017, 1214, 319, 1636, 37905, 1639, 31839, 988, 323, 1770, 38520, 31776, 1255, 26389, 8172 ]

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

[ 199, 438, 272, 877, 359, 348, 6079, 1230, 11062, 333, 14829, 708, 407, 1963, 7369, 966, 330, 1281, 1647, 364, 648, 9078, 364, 199, 345, 1592, 23146, 2187, 983, 474, 1549, 15427, 10017, 2078, 519, 18309, 7040, 314, 915, 33219, 287, 1618, 1713, 406, 199, 318, 1842, 3235, 1156, 482, 12347, 318, 44972, 630, 36271, 441, 1284, 2424, 1334, 325, 23651, 2570, 1030, 432, 34160, 1160, 199, 3985, 1642, 499, 445, 3805, 606, 29806, 2616, 457, 839, 474, 333, 16733, 322, 513, 3792, 432, 1499, 387, 2082, 6261, 338, 45, 199, 1869, 2773, 333, 3405, 287, 1822, 356, 1792, 7247, 33759, 470, 29400, 2266, 1893, 3868, 1601, 966, 367, 45, 1600, 399, 406, 199, 11161, 9471, 1237, 314, 2340, 16772, 2243, 2470, 338, 2102, 383, 1448, 4212, 1049, 452, 356, 373, 1823, 838, 464, 813, 692, 199, 1776, 1410, 370, 11218, 529, 808, 5601, 2034, 1074, 1549, 36048, 1661, 348, 6554, 757, 375, 3310, 535, 39893, 5111, 199, 1024, 9438, 425, 392, 704, 3188, 1827, 12228, 389, 13412, 1777, 354, 490, 2176, 452, 2197, 1726, 1325, 1859, 1623, 287, 199, 404, 629, 421, 1365, 22654, 1137, 483, 3343, 1000, 295, 677, 334, 2331, 1677, 463, 313, 528, 951, 564, 13240, 12481, 1635, 422, 199, 8844, 1159, 536, 374, 1387, 273, 815, 7953, 45434, 1731, 31805, 2356, 1145, 298, 3519, 546, 19250, 574, 40, 1970, 473, 40, 199, 12203, 369, 862, 567, 393, 1465, 265, 1206, 1014, 563, 372, 1968, 14097, 996, 2348, 6378, 322, 3803, 21686, 4390, 409, 199, 633, 1318, 628, 257, 684, 500, 1244, 2575, 7131, 1925, 263, 3532, 321, 1061, 1096, 1793, 335, 3318, 2212, 282, 1922, 199, 2759, 4288, 378, 37466, 360, 1365, 583, 3530, 24779, 457, 34729, 6061, 2132, 45828, 1424, 471, 1031, 341, 39826, 199, 8430, 18421, 1592, 317, 1094, 843, 330, 815, 292, 585, 2969, 1906, 14762, 3548, 30812, 3037, 809, 513, 25810, 462, 199, 1509, 265, 708, 3682, 607, 356, 946, 1345, 4996, 406, 7780, 1151, 472, 394, 1259, 24157, 6731, 614, 621, 47341, 199, 15410, 398, 576, 43, 199, 0, 199, 1552, 464, 532, 16338, 341, 3901, 723, 280, 1262, 257, 1096, 5868, 6898, 398, 10228, 2370, 37376, 265, 1026, 327, 199, 335, 29259, 6109, 467, 1046, 999, 18262, 1390, 327, 489, 1161, 7006, 6701, 14793, 1592, 589, 3507, 12376, 402, 199, 289, 692, 4431, 765, 864, 1217, 16535, 687, 275, 3390, 729, 400, 22496, 6050, 28395, 342, 7831, 271, 716, 46, 199, 12774, 2332, 36031, 1369, 37830, 527, 991, 387, 2243, 4307, 287, 1503, 385, 15442, 610, 317, 2798, 25205, 1320, 2608, 199, 19924, 804, 8257, 2126, 388, 17935, 396, 2126, 280, 827, 335, 3867, 7641, 658, 18055, 18562, 1583, 391, 709, 40, 199, 12305, 1030, 15213, 3472, 4142, 320, 3901, 369, 339, 692, 258, 1378, 4125, 30894, 34209, 497, 23129, 1370, 391, 199, 3960, 517, 20764, 5264, 283, 1013, 1510, 1075, 570, 711, 269, 1922, 351, 705, 1136, 8536, 773, 1016, 422, 1354, 283, 199, 44, 1393, 437, 2365, 272, 1354, 889, 892, 36, 580, 723, 419, 1353, 7080, 261, 12029, 317, 29320, 413, 1490, 4021, 520, 199, 445, 1240, 31462 ]

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

[ 1109, 37026, 980, 383, 8131, 1503, 5611, 1665, 297, 4234, 5705, 45874, 2560, 1262, 566, 285, 199, 37, 413, 3320, 1260, 1394, 940, 262, 877, 4278, 365, 2682, 417, 1392, 4176, 353, 1133, 529, 662, 3769, 705, 12705, 265, 199, 3905, 515, 4613, 1157, 34085, 1084, 1110, 364, 5185, 269, 583, 273, 1482, 9592, 997, 872, 4701, 28351, 1573, 199, 440, 602, 281, 474, 1550, 26994, 2653, 358, 37388, 1099, 17716, 757, 556, 334, 1180, 438, 2260, 330, 740, 1332, 42741, 199, 842, 20484, 25164, 5788, 263, 1187, 471, 398, 3688, 1719, 1733, 41, 1794, 23640, 517, 21586, 23721, 1865, 337, 1720, 199, 389, 5974, 367, 526, 22513, 1471, 34832, 968, 284, 419, 896, 915, 265, 800, 8872, 3728, 676, 14078, 11013, 1783, 199, 8490, 504, 14278, 2505, 363, 780, 352, 20135, 2195, 4741, 539, 8544, 6279, 1408, 24728, 946, 11882, 363, 199, 18532, 433, 517, 2405, 48576, 6606, 1009, 368, 723, 448, 351, 956, 405, 2161, 18895, 21331, 1998, 2260, 470, 8793, 50, 199, 335, 1369, 1370, 5562, 378, 5636, 2275, 33492, 1408, 7935, 14028, 7170, 266, 6905, 341, 598, 8938, 474, 505, 199, 359, 351, 2062, 1495, 46077, 10601, 11671, 383, 1330, 268, 853, 1429, 5328, 2784, 283, 9841, 1597, 318, 8578, 1065, 199, 647, 794, 340, 12512, 1739, 257, 552, 22918, 398, 284, 24579, 334, 9151, 433, 1695, 262, 1665, 6812, 28669, 317, 2174, 199, 2045, 863, 12889, 199, 0, 199, 1725, 1763, 1048, 292, 1023, 283, 765, 371, 32556, 1420, 263, 544, 6807, 10311, 1423, 4974, 611, 263, 886, 393, 11088, 199, 14818, 4344, 1067, 2452, 277, 1105, 15816, 7222, 4567, 4563, 300, 4227, 295, 1027, 293, 1469, 9777, 551, 2463, 199, 44, 7239, 6159, 298, 516, 5847, 558, 11826, 1108, 331, 15063, 2457, 10827, 471, 799, 471, 9631, 297, 1406, 346, 1076, 57, 199, 11817, 655, 345, 1682, 301, 547, 29810, 368, 681, 259, 2325, 2167, 410, 3937, 294, 510, 3112, 4861, 556, 42327, 3205, 199, 550, 23030, 646, 373, 4232, 317, 664, 276, 857, 481, 1526, 9223, 898, 349, 7778, 578, 18084, 6285, 503, 475, 199, 327, 690, 351, 443, 3537, 316, 2944, 7500, 400, 11920, 1627, 283, 4169, 1627, 283, 6470, 1627, 20767, 7110, 513, 199, 14413, 360, 1627, 10277, 554, 1627, 10277, 301, 1627, 5740, 412, 1627, 283, 42799, 1562, 15383, 360, 1627, 1332, 21961, 199, 466, 283, 5784, 1627, 10277, 291, 1627, 5835, 397, 1627, 10277, 291, 1627, 283, 11847, 299, 4262, 428, 13516, 6752, 199, 9616, 2456, 1164, 13317, 370, 8565, 371, 516, 951, 17695, 335, 921, 318, 8497, 2571, 619, 295, 736, 275, 1164, 335, 199, 4988, 283, 31095, 748, 15018, 7741, 370, 16231, 9788, 294, 1883, 426, 2505, 428, 968, 43138, 453, 631, 22700, 199, 1594, 441, 397, 16502, 539, 329, 3054, 1049, 286, 1623, 397, 31239, 17318, 722, 1194, 1987, 8824, 327, 1186, 1420, 316, 199, 36, 1082, 327, 1542, 17805, 1017, 7778, 1184, 3081, 361, 3923, 833, 3944, 405, 1685, 818, 12344, 9418, 291, 755, 199, 319, 1115, 258, 21643, 322, 986, 4731, 3404, 395, 16705, 2735, 414, 2482, 10704, 858, 12802, 46988, 3625, 667, 199, 694, 33031 ]

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

[ 803, 2438, 1022, 48200, 6820, 530, 1673, 294, 9810, 389, 1869, 8883, 3778, 3870, 471, 1150, 327, 199, 389, 752, 340, 4923, 41729, 4031, 10627, 2353, 1220, 607, 664, 901, 771, 4961, 903, 15364, 750, 1255, 379, 199, 370, 1710, 17989, 7541, 6323, 2119, 595, 273, 667, 370, 7160, 16220, 1011, 36396, 443, 3662, 481, 783, 319, 643, 199, 440, 573, 30254, 416, 446, 1011, 1048, 9756, 547, 421, 946, 789, 3263, 691, 325, 885, 1096, 14343, 1221, 1488, 537, 199, 18744, 625, 286, 516, 7329, 36853, 701, 378, 928, 1169, 7809, 933, 950, 5183, 43630, 485, 1649, 373, 5461, 33, 199, 481, 2210, 930, 266, 21257, 7212, 333, 3906, 6494, 314, 895, 486, 2162, 18105, 472, 645, 276, 14811, 3655, 55, 199, 444, 4842, 915, 199, 0, 199, 1239, 508, 2732, 8916, 736, 508, 25650, 25650, 15687, 732, 8133, 50031, 630, 46958, 6631, 269, 2356, 277, 906, 199, 599, 394, 356, 14272, 1292, 689, 3026, 265, 575, 1077, 2536, 1609, 736, 3341, 11162, 934, 43833, 1798, 13503, 2775, 199, 29538, 13255, 822, 42685, 458, 317, 463, 5298, 536, 782, 3042, 1936, 555, 1255, 263, 1411, 265, 1300, 672, 19590, 199, 539, 12114, 274, 697, 984, 2821, 318, 537, 318, 755, 9391, 644, 313, 975, 2839, 257, 2144, 319, 568, 327, 2158, 331, 575, 199, 4932, 268, 791, 420, 329, 453, 492, 11990, 1501, 261, 1454, 2440, 21754, 318, 797, 2494, 778, 1341, 3048, 300, 503, 440, 360, 199, 374, 733, 358, 533, 951, 314, 3813, 345, 1946, 27870, 28208, 592, 5915, 1159, 333, 2091, 554, 42681, 46879, 3312, 437, 199, 534, 18714, 2593, 630, 2300, 817, 9080, 377, 10436, 8431, 1605, 2811, 389, 3431, 596, 687, 3612, 552, 4925, 199, 1151, 958, 257, 764, 334, 1842, 532, 34246, 1144, 1123, 580, 283, 1637, 976, 5201, 771, 301, 435, 3694, 404, 335, 6275, 199, 258, 1982, 345, 661, 289, 867, 921, 1281, 709, 280, 1309, 349, 5088, 8216, 285, 1193, 974, 420, 904, 36542, 10845, 199, 19444, 6274, 295, 2346, 1325, 334, 1870, 265, 1335, 430, 842, 488, 8220, 414, 455, 1893, 2531, 8930, 288, 462, 626, 16685, 199, 4824, 1088, 271, 432, 16493, 15631, 1610, 4814, 413, 517, 477, 3918, 35602, 1160, 317, 1518, 648, 269, 996, 641, 284, 199, 17135, 5794, 4342, 325, 1438, 3501, 7676, 279, 664, 26802, 896, 15775, 5243, 2950, 30281, 420, 41763, 199, 17982, 44760, 544, 46438, 453, 7640, 1441, 447, 3022, 326, 2717, 550, 609, 5684, 860, 1204, 9416, 268, 1297, 50, 199, 51, 24319, 449, 2525, 1677, 1820, 834, 1613, 522, 5308, 38, 1497, 294, 916, 1074, 275, 611, 473, 485, 1535, 1287, 19349, 199, 28034, 9927, 575, 315, 1004, 557, 2772, 6881, 15741, 486, 547, 6294, 326, 1500, 346, 889, 2204, 893, 33113, 54, 199, 11299, 284, 588, 416, 2038, 1682, 369, 1625, 1643, 995, 283, 2252, 807, 1533, 411, 778, 20351, 1301, 12365, 12061, 617, 33, 199, 21305, 814, 603, 644, 3955, 792, 1595, 463, 19324, 3186, 346, 587, 552, 319, 2097, 2499, 25315, 1876, 622, 3746, 199, 22325, 9617, 1739, 286, 400, 490, 1688, 32208, 1573, 2393, 271, 1811, 370, 1932 ]

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

[ 2077, 46106, 548, 338, 676, 559, 799, 199, 13809, 1449, 2306, 837, 26754, 530, 862, 49, 950, 1282, 1645, 16777, 1315, 295, 2052, 315, 497, 582, 4837, 262, 9426, 199, 25486, 485, 3871, 199, 0, 199, 3162, 578, 409, 2398, 409, 24251, 1579, 4576, 313, 638, 5439, 505, 545, 398, 30000, 717, 266, 10380, 821, 428, 370, 43, 199, 4116, 9443, 4530, 784, 584, 6444, 1598, 719, 292, 10924, 19548, 1331, 267, 41065, 1328, 18331, 40065, 442, 33, 199, 737, 328, 15358, 662, 9196, 4213, 6377, 615, 266, 1270, 21293, 3141, 921, 1699, 275, 904, 1690, 430, 2235, 324, 199, 20186, 8933, 28664, 477, 517, 21315, 15907, 599, 527, 21793, 430, 802, 464, 320, 13105, 1980, 1894, 19710, 1664, 199, 4484, 274, 733, 5854, 317, 793, 398, 3591, 427, 3029, 2007, 396, 539, 285, 1602, 921, 46, 988, 614, 21568, 330, 7594, 199, 1760, 951, 446, 301, 804, 13240, 5092, 531, 420, 819, 911, 37966, 1925, 10153, 21993, 3247, 514, 828, 353, 1897, 199, 1374, 452, 294, 13661, 2832, 5381, 597, 317, 1999, 46055, 454, 9536, 609, 34163, 5687, 352, 430, 1849, 515, 31253, 199, 1166, 362, 1065, 45177, 840, 14253, 418, 386, 1395, 10553, 829, 299, 1514, 414, 18185, 1933, 823, 492, 730, 5683, 278, 199, 23118, 333, 1260, 373, 3674, 13502, 638, 315, 646, 6438, 18273, 3433, 272, 486, 26254, 511, 13329, 367, 14874, 1199, 199, 10773, 1360, 1995, 23478, 586, 442, 430, 364, 2322, 4151, 403, 36467, 1109, 278, 6507, 578, 812, 271, 1033, 44951, 199, 965, 360, 9539, 39421, 1513, 29134, 8120, 570, 46435, 1999, 533, 455, 396, 14180, 531, 10016, 25910, 503, 374, 2307, 199, 763, 348, 2457, 417, 5589, 6853, 3874, 30527, 1107, 317, 757, 353, 987, 1831, 274, 1329, 572, 296, 1679, 1489, 49, 199, 19136, 3194, 413, 518, 9620, 10131, 2135, 259, 2953, 337, 1606, 9041, 1838, 376, 4064, 536, 372, 1354, 344, 18458, 199, 37, 8023, 384, 1758, 770, 328, 10598, 1040, 330, 6461, 1046, 294, 5447, 2318, 567, 328, 1261, 500, 1775, 391, 2001, 6033, 199, 26165, 8974, 878, 268, 877, 765, 1667, 29250, 23834, 489, 21508, 1905, 583, 335, 575, 6964, 272, 963, 730, 566, 199, 21305, 346, 10028, 47180, 1128, 346, 1372, 700, 370, 700, 6419, 314, 2654, 454, 5051, 762, 396, 5012, 1424, 1259, 33750, 199, 754, 366, 7221, 2692, 267, 27816, 4948, 679, 42546, 32464, 7603, 383, 413, 446, 2046, 452, 15311, 561, 29277, 49, 199, 619, 10790, 420, 507, 5370, 2848, 458, 3736, 25160, 391, 8542, 442, 337, 5501, 614, 2147, 955, 12261, 545, 199, 47593, 1331, 1610, 298, 714, 729, 274, 460, 815, 28587, 658, 457, 657, 3460, 817, 266, 15382, 658, 425, 491, 2418, 505, 199, 403, 14190, 5378, 199, 0, 199, 2017, 2339, 257, 687, 21285, 1458, 1592, 297, 1460, 979, 337, 1269, 657, 480, 3331, 18849, 47117, 494, 947, 13746, 199, 1317, 365, 1253, 940, 16027, 400, 19254, 1252, 42295, 365, 2187, 281, 1013, 3898, 38061, 748, 10865, 1013, 2740, 324, 199, 444, 3340, 2246, 358, 4217, 1405, 407, 30735, 9904, 1376, 358, 27363, 40268, 1461, 1132, 38093, 1529, 338, 4752, 38, 199 ]

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

[ 27337, 15885, 4111, 455, 720, 2390, 331, 499, 1125, 458, 22809, 2192, 4126, 6487, 984, 276, 1428, 4189, 328, 9887, 199, 10586, 448, 9457, 4413, 2108, 361, 415, 43362, 1407, 27983, 914, 509, 5169, 338, 864, 1080, 352, 24422, 313, 2350, 199, 5923, 554, 11903, 372, 937, 40085, 3420, 526, 15451, 355, 11885, 1277, 346, 3356, 41714, 659, 20433, 283, 1397, 483, 199, 36736, 22647, 364, 944, 364, 499, 944, 1073, 342, 626, 11104, 715, 391, 1197, 1857, 24579, 2656, 433, 3883, 286, 2902, 448, 199, 44888, 2514, 499, 46970, 1279, 2016, 39198, 364, 413, 2132, 1305, 33976, 408, 3457, 20922, 41429, 7675, 1413, 295, 199, 479, 3410, 428, 291, 6108, 1421, 287, 982, 929, 488, 18042, 1213, 21230, 42780, 1470, 2162, 8510, 4786, 41153, 49, 199, 39, 9896, 1118, 297, 1435, 370, 7760, 653, 1248, 278, 943, 21788, 1373, 758, 1461, 404, 1941, 1026, 35851, 1114, 425, 199, 364, 610, 357, 437, 23860, 276, 3174, 42702, 4447, 6014, 443, 1244, 1262, 932, 7257, 280, 3771, 690, 5445, 328, 199, 1657, 474, 4413, 351, 23656, 316, 1813, 14141, 729, 383, 2159, 875, 295, 696, 1397, 42187, 13941, 2253, 11781, 4477, 199, 36, 1479, 2011, 275, 47008, 1026, 428, 261, 2103, 1613, 367, 1952, 30063, 36763, 633, 369, 8334, 20359, 1939, 2722, 499, 199, 51, 40117, 1800, 381, 491, 21000, 33257, 1091, 351, 3815, 342, 6423, 45723, 4019, 2021, 377, 1065, 1113, 359, 29720, 199, 15342, 765, 404, 9401, 290, 1122, 4043, 10061, 341, 892, 1140, 367, 360, 10323, 22455, 729, 385, 568, 13943, 10953, 199, 3014, 2061, 17643, 11903, 16539, 1117, 271, 695, 328, 4924, 410, 729, 5282, 274, 4472, 313, 1453, 37526, 8114, 199, 935, 357, 6343, 678, 19585, 2833, 729, 270, 1126, 633, 9981, 14135, 4224, 15708, 725, 13360, 803, 463, 36872, 199, 26204, 1867, 359, 374, 1067, 4553, 491, 9166, 42989, 578, 49412, 529, 1150, 898, 368, 1122, 1122, 25059, 965, 514, 199, 3380, 1253, 2933, 476, 22346, 525, 383, 2690, 7807, 2867, 329, 15165, 16407, 4205, 563, 1579, 374, 470, 564, 8735, 33, 199, 11876, 7693, 519, 199, 0, 199, 2291, 539, 2509, 11764, 507, 399, 1667, 1866, 2614, 1071, 2801, 38122, 924, 743, 29797, 829, 39213, 764, 27141, 54, 199, 819, 32538, 1013, 5985, 427, 1635, 4563, 15151, 5665, 11096, 21968, 1228, 442, 278, 757, 33019, 1038, 16240, 199, 2243, 393, 6259, 1234, 1058, 408, 4710, 405, 15440, 9163, 39683, 32978, 31411, 14401, 414, 401, 1218, 374, 28009, 17777, 199, 1629, 288, 1898, 426, 4805, 12139, 8823, 25942, 1836, 6527, 15310, 1669, 7989, 37252, 506, 30164, 564, 2050, 451, 199, 494, 3698, 49, 2580, 8235, 2170, 38777, 617, 1764, 2645, 1572, 394, 363, 16322, 1772, 5107, 549, 5985, 330, 2748, 27787, 199, 33731, 368, 3302, 327, 14089, 463, 2316, 344, 1426, 757, 749, 441, 648, 393, 18671, 518, 564, 18756, 531, 485, 6784, 271, 5302, 199, 433, 849, 608, 319, 613, 759, 19469, 737, 3286, 739, 21357, 3774, 402, 2640, 2506, 859, 320, 19658, 6487, 725, 401, 199, 344, 953, 844, 326, 2001, 726, 451, 361, 9971, 404, 647, 1595, 590, 377, 924, 45734, 4058, 27760, 741 ]

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

[ 4811, 603, 43, 199, 640, 18034, 398, 404, 1778, 485, 455, 15774, 574, 14085, 34577, 378, 1209, 372, 1243, 481, 282, 895, 406, 10419, 1115, 48506, 199, 37, 615, 3895, 48416, 9682, 14794, 5160, 841, 393, 1626, 429, 3688, 339, 538, 384, 2647, 1605, 786, 441, 371, 30393, 660, 199, 11689, 450, 6687, 272, 1059, 352, 669, 396, 1142, 316, 497, 383, 382, 9924, 1920, 335, 44292, 391, 49809, 25129, 1251, 43, 199, 1248, 1371, 25035, 316, 3825, 21052, 335, 385, 1866, 3810, 1782, 491, 8932, 464, 1184, 392, 490, 328, 911, 317, 528, 14299, 199, 44, 8879, 815, 2941, 314, 1262, 13432, 937, 1854, 423, 1566, 330, 6680, 1652, 32113, 1954, 528, 2079, 437, 1521, 5127, 199, 1454, 2475, 292, 474, 1713, 1518, 466, 24405, 368, 2728, 334, 1473, 3087, 585, 14324, 40, 1510, 400, 477, 626, 290, 756, 444, 13666, 199, 458, 1941, 4559, 2285, 373, 8201, 12682, 380, 42541, 6810, 368, 1217, 283, 2151, 416, 431, 1547, 2872, 540, 453, 28748, 670, 199, 285, 14968, 1631, 408, 30693, 1783, 328, 599, 511, 470, 395, 348, 402, 913, 262, 3070, 445, 431, 14429, 2761, 549, 10747, 4787, 43, 199, 30059, 782, 2487, 2318, 383, 1194, 441, 2482, 541, 314, 1252, 677, 45434, 23181, 323, 627, 441, 2418, 5631, 381, 610, 357, 199, 3968, 3014, 371, 2005, 23755, 344, 4179, 395, 383, 5049, 1420, 749, 2339, 568, 2339, 452, 335, 3550, 378, 400, 6732, 1140, 199, 15235, 5043, 13437, 1451, 346, 15419, 350, 8632, 1935, 5406, 3233, 346, 713, 1629, 864, 4697, 320, 757, 40962, 199, 286, 1004, 3373, 199, 0, 199, 45, 1841, 3039, 18607, 8990, 373, 2373, 1647, 10897, 31066, 1952, 340, 1201, 704, 282, 3126, 850, 1000, 713, 391, 199, 978, 13118, 10289, 15581, 1059, 400, 647, 271, 4060, 1373, 470, 544, 3063, 3846, 5521, 932, 46418, 1617, 426, 529, 199, 336, 1180, 1927, 778, 2031, 12721, 1461, 21310, 398, 684, 12194, 332, 799, 1627, 2106, 3722, 19602, 1044, 358, 4071, 199, 1245, 33052, 1582, 336, 34567, 1151, 337, 28243, 550, 32511, 2562, 632, 38254, 537, 400, 384, 453, 5330, 2040, 422, 199, 257, 1012, 336, 1319, 464, 323, 1793, 4999, 1000, 327, 704, 16583, 446, 437, 663, 412, 1292, 7877, 459, 14786, 1837, 483, 199, 266, 12718, 272, 989, 2607, 1050, 351, 2658, 37375, 1466, 6508, 596, 10639, 2499, 390, 27710, 388, 1039, 586, 269, 199, 6502, 270, 1482, 349, 34188, 25938, 1792, 274, 800, 427, 592, 11815, 20632, 606, 4767, 1156, 281, 1237, 312, 670, 275, 199, 14144, 367, 1138, 10337, 25045, 359, 5988, 9656, 674, 334, 579, 334, 799, 277, 2883, 1424, 575, 7421, 982, 502, 199, 36, 932, 339, 2686, 9535, 412, 1865, 1079, 17706, 1005, 621, 19735, 6472, 525, 440, 859, 345, 876, 463, 546, 287, 1973, 199, 21961, 722, 28030, 46367, 6828, 20799, 1263, 438, 2957, 455, 1320, 2169, 320, 5015, 19528, 1950, 1917, 401, 1141, 199, 4540, 1071, 11929, 5509, 285, 551, 259, 971, 1272, 1847, 335, 683, 352, 10552, 337, 32345, 396, 474, 280, 20625, 31618, 199, 24473, 4716, 6644, 36440, 1854, 19147, 578, 558, 1261, 400, 3568, 1549, 1000 ]

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

[ 494, 11626, 274, 524, 8061, 474, 327, 199, 31453, 275, 1563, 12158, 295, 1580, 48, 2368, 628, 27548, 433, 638, 2605, 375, 520, 25727, 1432, 750, 432, 45625, 47044, 199, 341, 839, 17344, 435, 2832, 265, 538, 336, 8007, 372, 28552, 1114, 343, 8007, 5190, 813, 2298, 502, 27479, 1775, 955, 199, 29758, 407, 520, 486, 2964, 23239, 1121, 343, 1292, 1895, 363, 1637, 1121, 45842, 7915, 511, 335, 1672, 520, 339, 8945, 199, 9092, 400, 4517, 756, 358, 14174, 2392, 11862, 1637, 542, 350, 1992, 556, 334, 511, 367, 19380, 22855, 342, 2350, 2166, 199, 4127, 343, 621, 622, 1462, 650, 331, 4799, 20097, 19225, 416, 363, 1452, 294, 551, 12880, 513, 2312, 24206, 3963, 33286, 199, 25406, 381, 1318, 1184, 331, 8632, 724, 1616, 282, 1606, 2361, 2205, 635, 27872, 575, 349, 2533, 286, 1160, 23887, 52, 199, 405, 762, 387, 863, 29531, 549, 10777, 326, 7186, 22556, 3925, 50215, 676, 263, 526, 387, 1037, 313, 5329, 842, 43, 199, 1565, 3435, 25865, 199, 0, 199, 7601, 2756, 29869, 7674, 276, 6266, 517, 818, 286, 925, 26002, 463, 1356, 454, 14177, 483, 23096, 2241, 13913, 199, 3673, 20743, 4750, 853, 8705, 10231, 1242, 323, 1087, 719, 2246, 45929, 1549, 12113, 28554, 47688, 1488, 369, 199, 1871, 653, 357, 6878, 29655, 4176, 709, 44104, 14568, 265, 2815, 712, 262, 3382, 514, 392, 1137, 386, 2356, 5742, 54, 199, 438, 13379, 33624, 46345, 4782, 284, 1834, 4290, 20736, 1609, 454, 14019, 2062, 346, 16018, 393, 4419, 1334, 343, 199, 26875, 425, 1720, 344, 11319, 335, 3571, 401, 12241, 629, 424, 4444, 588, 20602, 493, 496, 1945, 640, 38917, 28332, 1661, 199, 4944, 3052, 411, 385, 1215, 378, 38383, 452, 1322, 1240, 411, 8659, 1029, 17218, 6640, 48142, 288, 2109, 1105, 1576, 199, 831, 396, 1939, 293, 1382, 955, 288, 735, 289, 909, 1684, 1081, 380, 1949, 22581, 1223, 46463, 2851, 337, 7249, 5089, 199, 1629, 1537, 287, 541, 275, 1124, 489, 455, 328, 813, 39910, 441, 782, 917, 2135, 334, 4509, 996, 14111, 2060, 1804, 347, 199, 49933, 28009, 754, 2893, 690, 21880, 539, 415, 1000, 483, 3100, 13091, 478, 8642, 1639, 1205, 42071, 342, 39010, 199, 6231, 887, 284, 20503, 2716, 383, 2104, 8571, 2824, 8356, 1173, 47211, 1465, 389, 1331, 5937, 412, 2158, 4860, 2301, 199, 658, 1507, 2749, 1268, 26730, 3779, 30678, 407, 23223, 376, 1132, 446, 347, 2762, 1575, 440, 22630, 812, 435, 343, 9942, 199, 10159, 5400, 321, 2306, 546, 9213, 621, 358, 581, 3301, 1142, 370, 1707, 1892, 326, 4635, 352, 1196, 369, 49406, 476, 7048, 199, 39, 1027, 991, 31312, 2029, 10123, 690, 23073, 7544, 2156, 12564, 353, 3648, 588, 938, 7476, 3500, 1712, 199, 44, 41998, 605, 12047, 3489, 4108, 2032, 358, 534, 758, 312, 36454, 1156, 416, 521, 20715, 1391, 35, 1422, 299, 13134, 48544, 199, 292, 6466, 1179, 1279, 36, 1116, 29970, 3742, 12342, 1243, 363, 786, 729, 298, 2409, 1469, 488, 29470, 416, 549, 21167, 199, 324, 3721, 1688, 452, 549, 373, 24114, 984, 352, 1623, 24385, 1086, 748, 1282, 835, 13792, 9686, 7650, 4793, 271, 199, 1666, 330, 435, 2970 ]

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

[ 1115, 6793, 435, 1761, 49220, 3070, 6125, 2221, 1898, 268, 849, 459, 1072, 10795, 25717, 1073, 199, 15150, 2646, 294, 757, 354, 1376, 364, 664, 10066, 1153, 11290, 1275, 391, 520, 564, 1785, 13211, 4717, 285, 1260, 413, 199, 29424, 9139, 3207, 562, 42958, 1552, 398, 3660, 399, 4181, 632, 29022, 6945, 454, 4086, 13926, 881, 27717, 199, 327, 616, 325, 359, 199, 0, 199, 382, 453, 6409, 13851, 423, 47797, 2016, 422, 1936, 926, 17735, 341, 1811, 277, 532, 20800, 1166, 459, 647, 332, 815, 199, 3698, 841, 347, 2613, 589, 5718, 585, 446, 340, 1237, 281, 590, 1591, 1611, 442, 1150, 329, 1234, 335, 2323, 328, 725, 199, 2035, 910, 330, 28366, 2962, 925, 265, 8240, 319, 2601, 275, 1866, 494, 385, 1303, 293, 22874, 1433, 352, 788, 788, 49, 199, 19786, 283, 496, 6840, 520, 19414, 23155, 447, 5076, 1908, 349, 15541, 1874, 18438, 27306, 1245, 263, 1827, 275, 1137, 199, 1560, 1206, 536, 8030, 1493, 370, 1776, 444, 1075, 6352, 547, 268, 723, 4303, 345, 2115, 285, 2739, 1326, 404, 530, 199, 1687, 706, 19717, 278, 40169, 349, 1738, 488, 387, 10099, 455, 24706, 910, 258, 737, 37259, 4124, 2967, 489, 421, 199, 5977, 640, 15625, 2145, 885, 435, 364, 548, 10055, 1763, 39704, 2289, 2264, 1120, 1752, 570, 21411, 5459, 898, 199, 48, 883, 353, 5624, 488, 570, 440, 345, 22550, 35053, 419, 777, 396, 5082, 657, 12613, 532, 382, 8191, 20751, 3505, 199, 25150, 1590, 365, 838, 29831, 2138, 341, 8507, 408, 7164, 580, 297, 590, 300, 1262, 12796, 317, 700, 335, 754, 286, 713, 199, 292, 2826, 11529, 300, 20244, 5845, 9600, 267, 1009, 470, 1348, 653, 1014, 280, 899, 314, 1195, 345, 2511, 3968, 293, 199, 2828, 1101, 280, 932, 7476, 401, 14247, 2502, 266, 975, 45460, 6441, 3172, 277, 1690, 878, 265, 1013, 518, 277, 1014, 199, 1285, 370, 7812, 24518, 38593, 846, 24798, 905, 2768, 932, 609, 1829, 13809, 490, 578, 15213, 1177, 926, 403, 199, 262, 2943, 1631, 291, 1126, 15647, 1583, 656, 9996, 1611, 351, 1168, 1559, 19227, 371, 2489, 2626, 385, 1224, 7978, 286, 199, 1648, 16988, 14278, 447, 8515, 291, 1256, 2416, 446, 793, 395, 709, 4368, 1234, 346, 2311, 29060, 908, 295, 1626, 280, 199, 286, 899, 466, 1115, 352, 36851, 2606, 315, 6150, 442, 40713, 2344, 2442, 16559, 39532, 356, 4021, 570, 11206, 583, 199, 379, 1716, 13408, 397, 2432, 1193, 578, 400, 928, 362, 524, 348, 779, 418, 348, 523, 654, 338, 7704, 919, 35332, 2185, 199, 14837, 1425, 357, 1736, 1796, 1116, 5919, 7682, 371, 1389, 2199, 399, 433, 1260, 9799, 1390, 28140, 2138, 433, 1842, 33, 199, 1247, 524, 690, 281, 1575, 358, 947, 325, 4613, 1328, 279, 824, 274, 1736, 1008, 5331, 360, 45615, 447, 473, 496, 27807, 199, 17270, 400, 10001, 1984, 356, 889, 5518, 629, 406, 509, 12313, 474, 3936, 505, 4446, 4015, 44089, 16023, 4045, 332, 199, 377, 2098, 47016, 199, 0, 199, 9772, 350, 2694, 293, 7967, 783, 18978, 42385, 2186, 406, 2488, 758, 356, 421, 421, 13518, 941, 704, 318, 2182, 38, 199, 13287, 332, 1649, 2549 ]

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

[ 17315, 421, 1252, 318, 2153, 40335, 3235, 704, 7518, 35623, 421, 1415, 327, 1533, 471, 1791, 318, 199, 390, 918, 634, 507, 406, 908, 3538, 1415, 1163, 279, 918, 8161, 390, 1415, 608, 13958, 1415, 31665, 439, 11243, 421, 199, 51, 7417, 704, 4840, 1638, 421, 16087, 3703, 356, 3914, 3703, 1415, 9065, 47819, 918, 318, 668, 1163, 3889, 199, 332, 1163, 318, 1415, 318, 1842, 1004, 19015, 496, 2494, 322, 6073, 3507, 2216, 490, 1791, 704, 325, 1415, 47879, 5139, 199, 332, 1163, 318, 2003, 41753, 356, 4055, 2216, 356, 9023, 263, 23682, 3235, 1842, 1415, 334, 3703, 22388, 367, 895, 199, 3102, 26582, 39971, 1163, 20718, 390, 1823, 14586, 336, 966, 421, 16087, 830, 783, 390, 2182, 421, 439, 5870, 2979, 199, 496, 22174, 279, 758, 37169, 496, 2494, 3703, 1415, 318, 496, 496, 960, 265, 895, 14633, 23682, 3235, 704, 322, 199, 426, 4840, 390, 418, 704, 4840, 2071, 421, 439, 1791, 704, 439, 1791, 704, 15231, 3324, 20746, 1415, 1163, 758, 390, 199, 14213, 2216, 792, 267, 745, 23682, 3235, 421, 2261, 908, 263, 783, 22174, 3102, 327, 3235, 421, 1334, 1286, 3703, 199, 1415, 22290, 10512, 8814, 327, 1415, 356, 1600, 318, 3235, 421, 496, 25391, 596, 918, 350, 704, 318, 1415, 47879, 318, 199, 390, 2077, 421, 16087, 356, 3122, 792, 634, 356, 35599, 918, 1449, 5738, 3703, 318, 918, 23682, 336, 2153, 496, 199, 257, 941, 1882, 372, 1163, 23682, 3235, 421, 539, 22174, 279, 850, 634, 20229, 1255, 356, 1842, 33116, 42385, 1415, 199, 3873, 40894, 634, 664, 1387, 318, 3235, 12408, 418, 3703, 390, 3235, 2132, 3445, 52, 1385, 447, 11243, 2216, 471, 199, 2261, 1842, 1415, 1163, 783, 7277, 1842, 12884, 3703, 762, 356, 1842, 1415, 22290, 496, 2494, 3873, 1415, 318, 199, 14609, 1415, 634, 1220, 22174, 2025, 332, 792, 516, 9708, 22290, 2216, 758, 4260, 265, 623, 783, 5463, 24655, 199, 918, 17724, 16087, 1163, 14454, 11243, 421, 16087, 356, 3538, 446, 634, 279, 3172, 1791, 783, 4840, 634, 20229, 199, 257, 941, 704, 977, 23557, 2216, 49142, 758, 45913, 42385, 918, 6261, 496, 10731, 3703, 1415, 22290, 2216, 199, 44, 7588, 34259, 1334, 421, 496, 2494, 42385, 634, 634, 1381, 33357, 580, 359, 10252, 1398, 3295, 2399, 581, 6526, 199, 20567, 2586, 464, 199, 0, 199, 382, 10822, 1522, 1963, 6713, 699, 564, 432, 958, 23917, 564, 7956, 678, 24429, 623, 1381, 638, 370, 352, 5272, 966, 199, 19161, 293, 825, 805, 258, 1592, 2102, 1737, 294, 717, 267, 594, 19539, 301, 8987, 4597, 458, 2266, 2856, 333, 489, 301, 199, 21828, 2367, 1112, 358, 1785, 318, 1053, 27092, 47655, 4021, 777, 292, 1225, 295, 1794, 410, 526, 4981, 6537, 1899, 199, 15754, 3575, 268, 575, 383, 875, 13000, 1143, 326, 896, 6688, 807, 293, 922, 8676, 529, 10773, 784, 284, 21334, 49, 199, 26148, 685, 9114, 319, 1096, 301, 7719, 2273, 292, 9896, 9737, 39135, 870, 504, 6193, 5973, 17658, 5608, 199, 970, 24414, 2376, 1076, 1066, 2481, 400, 10858, 22879, 2886, 760, 2022, 9328, 3775, 859, 5086, 6579, 7988, 199, 871, 1911, 527, 1469, 20266, 2010, 748 ]

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

[ 1244, 480, 14763, 48841, 390, 5827, 22666, 407, 1779, 3671, 268, 647, 13478, 199, 47743, 1570, 2398, 7514, 1687, 6764, 5364, 1972, 6993, 2012, 413, 17344, 330, 582, 270, 871, 1184, 355, 8484, 199, 44, 424, 10806, 918, 1814, 1377, 525, 354, 809, 299, 3015, 412, 1244, 361, 2137, 269, 1709, 334, 3428, 3613, 12623, 5961, 199, 21027, 378, 9618, 333, 1095, 351, 961, 28215, 754, 12980, 1009, 7256, 826, 277, 1560, 321, 2386, 9752, 407, 4040, 54, 199, 18078, 1815, 1191, 6547, 273, 1821, 4726, 660, 15744, 416, 40446, 533, 275, 1893, 30263, 538, 4584, 719, 1560, 2791, 199, 39, 2466, 1086, 282, 3189, 28234, 790, 456, 267, 2003, 312, 14428, 594, 340, 6573, 800, 4446, 455, 439, 3197, 613, 1588, 199, 44, 866, 3542, 2057, 2295, 24690, 339, 1374, 11414, 1168, 6780, 31377, 1254, 9847, 891, 428, 336, 522, 630, 410, 199, 371, 5647, 593, 3993, 41758, 259, 2068, 384, 493, 1979, 344, 18188, 341, 550, 1387, 436, 687, 433, 3837, 1030, 19771, 199, 412, 4323, 24461, 1431, 393, 38903, 46491, 18503, 20366, 979, 269, 2091, 2258, 10437, 2313, 299, 15718, 1162, 22054, 199, 404, 31583, 279, 462, 525, 395, 16187, 990, 272, 432, 1451, 273, 1240, 389, 961, 280, 11281, 1065, 1113, 337, 873, 6246, 33, 199, 17135, 485, 2937, 25955, 1583, 759, 386, 16753, 331, 8281, 389, 11181, 25041, 406, 554, 4457, 390, 1189, 761, 387, 6096, 199, 426, 1659, 283, 14507, 1281, 1513, 4822, 396, 12312, 301, 636, 483, 3583, 565, 6499, 922, 3429, 31615, 1674, 2130, 199, 441, 547, 583, 37657, 401, 199, 0, 199, 10225, 338, 3119, 381, 12826, 23856, 453, 35463, 381, 1142, 295, 566, 9588, 546, 799, 14045, 15916, 33401, 22251, 3333, 199, 36224, 3702, 420, 3348, 801, 429, 14090, 749, 11664, 617, 324, 563, 9648, 2767, 326, 15591, 1500, 508, 4814, 41257, 199, 5155, 2335, 360, 7115, 40475, 1788, 370, 351, 756, 508, 20153, 15919, 1000, 26766, 748, 1215, 43175, 651, 268, 24510, 199, 342, 563, 432, 2673, 470, 649, 381, 2888, 369, 6316, 517, 292, 50001, 819, 9842, 21528, 604, 677, 451, 15255, 1496, 655, 55, 199, 33855, 623, 359, 31404, 653, 2446, 41322, 1023, 1327, 2637, 300, 15545, 855, 2247, 1322, 332, 3245, 385, 1967, 199, 288, 1182, 511, 5516, 272, 612, 2477, 354, 13024, 277, 9513, 3409, 20829, 2001, 1475, 6115, 1473, 19228, 399, 1442, 37170, 199, 46354, 298, 1423, 1092, 1713, 1528, 260, 10674, 25470, 1213, 20943, 21610, 382, 2096, 7566, 1127, 33116, 1625, 9186, 199, 414, 1788, 7168, 2806, 1395, 370, 4082, 2264, 748, 32436, 353, 477, 4455, 16083, 397, 23856, 453, 41942, 816, 404, 2235, 199, 1142, 43990, 352, 629, 357, 1050, 3291, 552, 26747, 2054, 44038, 2138, 3702, 420, 2406, 1105, 554, 336, 527, 1360, 300, 199, 583, 2219, 1144, 3223, 1904, 350, 482, 31924, 1500, 411, 11381, 531, 3928, 30172, 397, 313, 1141, 9075, 372, 853, 312, 35, 199, 5400, 35574, 402, 1751, 24054, 748, 800, 43175, 1210, 276, 395, 2819, 381, 37994, 27029, 2336, 1400, 422, 35, 1378, 275, 199, 884, 14282, 1729, 1721, 449, 4292, 291, 7912, 294, 541, 47044, 604, 677 ]

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

[ 30481, 327, 2838, 655, 547, 433, 3028, 265, 640, 199, 2196, 287, 45, 1207, 263, 2045, 3000, 6373, 8804, 32221, 2637, 369, 11829, 855, 2247, 1576, 337, 40878, 983, 958, 199, 12235, 1572, 774, 7987, 2194, 2701, 1183, 351, 412, 19368, 443, 1239, 371, 721, 394, 453, 2424, 357, 3220, 3159, 578, 2109, 199, 18715, 729, 26610, 327, 1832, 3164, 301, 33815, 1101, 670, 865, 337, 521, 45501, 1735, 1149, 15592, 721, 390, 11661, 199, 1195, 563, 340, 871, 566, 352, 3020, 22909, 291, 610, 1353, 366, 1717, 3817, 294, 2503, 351, 420, 3881, 1299, 40279, 1047, 199, 385, 1139, 301, 575, 335, 682, 35341, 24952, 35245, 1695, 341, 2202, 697, 335, 977, 5012, 370, 454, 25767, 5176, 441, 199, 8149, 748, 508, 20153, 15919, 2850, 372, 2006, 626, 25576, 340, 1210, 312, 395, 2008, 411, 432, 1142, 766, 15173, 766, 46, 199, 12335, 4873, 2238, 3400, 384, 630, 3136, 300, 528, 5055, 1966, 655, 42835, 1794, 425, 1572, 11988, 2663, 1546, 2701, 329, 199, 22076, 1615, 1459, 199, 0, 199, 1145, 3945, 393, 568, 324, 1271, 1404, 455, 3708, 33308, 3801, 284, 1033, 1049, 428, 2304, 427, 14622, 3887, 1110, 199, 55, 1686, 451, 2083, 904, 43, 1661, 300, 3356, 274, 3963, 333, 5178, 1755, 10746, 596, 21082, 569, 5277, 3247, 39207, 2300, 199, 1860, 13120, 47402, 298, 1484, 1579, 6944, 289, 2222, 1061, 557, 561, 4447, 1774, 264, 761, 2162, 17438, 1092, 387, 199, 358, 34665, 391, 1186, 19866, 5773, 2793, 265, 3986, 1610, 541, 19462, 45648, 716, 364, 879, 417, 7538, 390, 9220, 199, 295, 705, 13512, 448, 361, 26019, 315, 998, 478, 10153, 1152, 28783, 15246, 286, 1152, 28783, 15246, 286, 1012, 2146, 199, 905, 33292, 1012, 28783, 15246, 286, 1152, 365, 14599, 46703, 1152, 22389, 14589, 275, 527, 294, 14599, 433, 10554, 199, 10595, 14599, 46703, 1152, 294, 14599, 433, 1396, 24428, 14599, 433, 5043, 913, 14599, 433, 5043, 1189, 14599, 199, 433, 5043, 1089, 14599, 433, 15483, 1097, 14599, 45444, 527, 12245, 1947, 868, 316, 3901, 32078, 270, 1946, 261, 199, 626, 5941, 1222, 406, 5391, 13650, 930, 16692, 629, 20901, 344, 362, 1455, 780, 588, 405, 40927, 286, 478, 5334, 514, 199, 362, 1580, 35043, 357, 1291, 2591, 328, 549, 1884, 272, 3480, 2854, 476, 5258, 749, 44506, 4620, 7815, 5710, 289, 4655, 199, 312, 636, 1772, 413, 24360, 560, 7354, 317, 606, 421, 536, 1338, 346, 404, 2007, 22876, 837, 464, 15418, 3091, 367, 1140, 199, 432, 397, 374, 1399, 364, 15932, 9456, 266, 1695, 3137, 340, 15666, 289, 653, 10615, 1073, 20766, 18948, 2127, 17194, 199, 4674, 29898, 1473, 501, 517, 1220, 353, 971, 335, 526, 284, 491, 35, 771, 3502, 1276, 16753, 13677, 352, 1055, 975, 33, 199, 11702, 17713, 856, 267, 15408, 2443, 908, 423, 3555, 516, 21103, 619, 361, 31518, 390, 1309, 5418, 11100, 418, 1527, 199, 318, 2369, 945, 271, 2478, 558, 55, 4693, 464, 9253, 633, 3458, 2298, 295, 1870, 261, 1687, 1882, 16570, 569, 769, 4281, 199, 44, 1394, 511, 451, 19846, 575, 328, 1157, 363, 2559, 3329, 277, 704, 763, 1635, 6585, 660, 5859, 452, 14689 ]

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

[ 711, 401, 4742, 199, 295, 5343, 376, 725, 433, 24197, 1055, 7450, 552, 24769, 5275, 14227, 19852, 806, 4207, 587, 40140, 21194, 441, 199, 781, 340, 1094, 902, 8433, 415, 3443, 39148, 1634, 6091, 815, 396, 3048, 29380, 1575, 299, 2597, 274, 1128, 7235, 199, 291, 7709, 18673, 3131, 4053, 26376, 11562, 1228, 28645, 2315, 26763, 431, 3608, 12394, 1898, 5462, 42395, 199, 260, 1293, 287, 588, 199, 0, 199, 1748, 20513, 442, 1270, 322, 24065, 2113, 13057, 44984, 388, 1038, 478, 625, 291, 1667, 5572, 4978, 4097, 8459, 408, 199, 1277, 15372, 377, 781, 494, 2476, 50248, 1111, 412, 9951, 25275, 4354, 4994, 765, 265, 915, 495, 4266, 586, 625, 199, 259, 1810, 290, 3899, 334, 1033, 390, 4536, 610, 943, 45585, 326, 4023, 19376, 12077, 543, 1295, 24365, 353, 49141, 199, 263, 1656, 11742, 17546, 326, 674, 342, 384, 1289, 737, 32458, 546, 23408, 3754, 7989, 777, 295, 2942, 1011, 597, 199, 7236, 527, 997, 7830, 413, 27506, 24244, 5751, 434, 703, 9930, 427, 3866, 354, 4977, 747, 4933, 1089, 6133, 199, 1694, 17370, 8740, 324, 874, 31380, 1214, 554, 3634, 1986, 352, 22628, 1691, 8986, 282, 1181, 519, 537, 9762, 30016, 199, 10592, 831, 292, 2454, 2055, 1712, 329, 12949, 640, 44502, 453, 7192, 634, 428, 10385, 368, 3404, 35188, 6261, 316, 199, 553, 14473, 453, 946, 548, 3763, 1325, 299, 4446, 287, 1755, 551, 2192, 4138, 2707, 418, 1605, 377, 4320, 2359, 50, 199, 648, 5690, 10141, 891, 300, 608, 5308, 640, 1857, 332, 742, 33509, 1994, 2953, 927, 729, 731, 10656, 337, 16901, 199, 1749, 275, 713, 334, 42596, 1471, 341, 1117, 258, 710, 38057, 675, 31855, 12212, 56, 199, 12212, 6261, 316, 553, 14473, 453, 946, 548, 3763, 1325, 299, 4446, 287, 1755, 551, 2192, 4138, 282, 1255, 199, 35503, 377, 4320, 2359, 608, 1401, 271, 10141, 891, 300, 608, 5308, 640, 1857, 332, 742, 33509, 1994, 2953, 927, 43, 199, 1508, 731, 10656, 27212, 381, 3468, 713, 334, 42596, 1471, 341, 1117, 258, 710, 38057, 5344, 279, 1803, 540, 9192, 199, 44, 1521, 55, 1461, 20357, 952, 2541, 529, 1399, 316, 590, 381, 4270, 888, 2480, 445, 9867, 468, 35, 1360, 11552, 5646, 199, 40923, 3536, 263, 1416, 314, 752, 3500, 366, 430, 389, 2055, 20715, 9825, 6738, 385, 18595, 926, 386, 634, 723, 199, 718, 837, 417, 17233, 331, 7279, 596, 415, 15072, 464, 5117, 388, 1081, 33510, 42088, 2377, 1900, 11670, 826, 263, 199, 36511, 1125, 17903, 23550, 11747, 712, 5505, 356, 316, 3248, 40507, 6559, 441, 3575, 455, 376, 5835, 532, 4629, 43, 199, 51, 643, 1655, 280, 2447, 1375, 983, 3332, 38077, 384, 1482, 38775, 419, 29219, 1712, 499, 4097, 45929, 422, 434, 5295, 199, 384, 711, 12575, 1518, 15816, 9172, 639, 1083, 774, 9054, 1433, 1234, 337, 1201, 329, 12937, 1904, 493, 290, 556, 265, 199, 1879, 46, 2588, 56, 534, 199, 0, 199, 382, 649, 678, 2936, 2108, 1201, 6280, 291, 1174, 1809, 7001, 463, 1569, 832, 14261, 1014, 31803, 41081, 576, 199, 23989, 588, 417, 1734, 396, 2174, 626, 361, 474, 1428, 39540, 390, 7313, 1073, 298, 5760 ]

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

[ 392, 1138, 261, 8748, 446, 27407, 199, 8036, 494, 784, 355, 686, 13001, 813, 3678, 409, 603, 13181, 8261, 1063, 373, 380, 952, 733, 442, 796, 511, 508, 199, 6449, 657, 321, 2092, 494, 1732, 753, 40998, 398, 533, 397, 935, 397, 1402, 955, 836, 419, 867, 353, 1939, 34110, 487, 199, 402, 1469, 1115, 1124, 532, 319, 566, 460, 587, 981, 534, 14271, 2884, 5738, 379, 458, 1537, 2152, 1824, 455, 9708, 2003, 199, 44, 1451, 1270, 1741, 365, 1583, 398, 1349, 1281, 527, 482, 6282, 1060, 17471, 600, 2242, 824, 2076, 347, 592, 21437, 347, 199, 4212, 47334, 397, 18878, 2121, 1709, 4014, 470, 23366, 809, 4919, 783, 4180, 1374, 37423, 6280, 397, 1068, 33, 199, 1082, 25534, 758, 783, 4180, 379, 6238, 663, 11431, 260, 1693, 582, 315, 817, 758, 783, 25502, 3201, 33002, 199, 334, 925, 895, 12836, 1559, 1194, 745, 15201, 458, 1907, 10750, 760, 6080, 26368, 492, 288, 538, 389, 2380, 345, 11018, 199, 37, 4495, 481, 6248, 702, 271, 1204, 18601, 327, 3266, 36864, 703, 292, 28613, 1116, 430, 327, 1352, 9161, 5361, 33, 199, 34112, 4779, 23582, 5697, 318, 703, 292, 28613, 1116, 430, 377, 1352, 350, 980, 280, 1194, 10342, 356, 1810, 16772, 199, 6041, 702, 18136, 774, 35971, 8303, 440, 697, 370, 638, 313, 745, 294, 847, 783, 41939, 3661, 644, 15751, 1775, 199, 51, 741, 291, 2038, 2809, 474, 17996, 2362, 286, 1610, 1507, 6439, 350, 1325, 21256, 703, 292, 28613, 1116, 430, 327, 1352, 52, 199, 4014, 5361, 280, 730, 4867, 356, 16877, 38571, 703, 292, 28613, 1116, 430, 327, 1352, 9161, 5361, 280, 730, 259, 199, 16339, 16877, 38571, 703, 292, 13006, 1116, 430, 327, 1352, 350, 980, 8694, 8694, 8694, 282, 2750, 732, 28415, 199, 833, 21865, 324, 403, 3074, 803, 12395, 859, 21281, 1507, 940, 7298, 1180, 345, 2273, 9111, 1012, 6751, 3964, 199, 876, 275, 1586, 371, 802, 271, 1325, 717, 1012, 301, 1280, 20688, 11786, 565, 397, 19162, 436, 660, 286, 4168, 1645, 409, 199, 21489, 879, 295, 10171, 6671, 938, 7298, 1180, 345, 2581, 267, 1012, 6751, 331, 2541, 1586, 371, 802, 271, 1325, 199, 674, 1012, 301, 1280, 373, 1789, 286, 516, 6086, 389, 1553, 8773, 1580, 356, 1216, 301, 783, 4299, 357, 1412, 3402, 323, 199, 318, 557, 18896, 199, 0, 199, 37736, 535, 648, 267, 1514, 45335, 1841, 36388, 15465, 1612, 45432, 2006, 642, 316, 6875, 1785, 338, 1316, 812, 324, 199, 338, 661, 975, 335, 1720, 23526, 9727, 8121, 1922, 14353, 34042, 5319, 2818, 15375, 10068, 29931, 1453, 1114, 199, 1413, 334, 1215, 398, 9887, 1150, 390, 336, 497, 2040, 344, 2937, 7920, 12321, 2351, 26154, 411, 11328, 501, 20089, 2689, 199, 444, 11895, 280, 1978, 397, 7047, 1752, 2409, 293, 493, 1652, 1257, 15213, 8482, 19503, 3139, 777, 15410, 1221, 382, 199, 426, 17121, 1459, 760, 8381, 815, 859, 294, 1042, 317, 734, 4453, 20440, 15076, 440, 344, 716, 624, 2054, 36904, 199, 657, 36228, 463, 395, 3652, 3516, 289, 4595, 11147, 3819, 7782, 6502, 23853, 48531, 1166, 338, 1382, 529, 281, 199, 1028, 3241, 261, 33031, 21739, 464 ]

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

[ 20430, 7378, 438, 555, 1635, 49970, 1051, 3047, 973, 21083, 1572, 319, 2738, 321, 199, 322, 9270, 595, 18447, 1561, 325, 1101, 398, 668, 40712, 766, 354, 1168, 292, 751, 18410, 660, 346, 416, 4538, 15224, 199, 379, 8250, 391, 4677, 5888, 29729, 462, 3375, 11519, 2878, 38, 1425, 394, 432, 1054, 11942, 329, 1163, 448, 288, 25421, 199, 818, 36625, 549, 30650, 604, 349, 500, 3109, 13600, 1116, 584, 337, 1122, 3550, 1027, 973, 345, 884, 38263, 4868, 199, 38729, 383, 729, 401, 759, 421, 1338, 12836, 20408, 1500, 14830, 392, 26190, 730, 316, 1072, 320, 2932, 409, 13857, 33, 199, 37, 447, 3043, 927, 467, 10326, 5853, 314, 1933, 7322, 29033, 1135, 265, 1615, 1118, 1532, 476, 19686, 1563, 8814, 199, 986, 34500, 1305, 337, 492, 298, 1223, 277, 7173, 285, 729, 1371, 27225, 38, 1388, 553, 26862, 377, 762, 1118, 486, 43, 199, 298, 443, 2682, 467, 390, 24086, 283, 2901, 317, 1502, 21672, 344, 4040, 4489, 433, 682, 1030, 414, 337, 1431, 29386, 470, 588, 199, 3890, 2447, 8007, 26836, 387, 15324, 855, 459, 535, 1786, 336, 4417, 501, 14473, 418, 1714, 2880, 346, 7173, 1653, 199, 371, 1558, 410, 1842, 17047, 511, 403, 7987, 410, 3084, 1354, 631, 2959, 324, 1760, 4041, 406, 783, 425, 13451, 1384, 427, 199, 2995, 470, 25567, 2260, 540, 37518, 2213, 377, 12287, 542, 2062, 17901, 7716, 630, 299, 726, 564, 46179, 2288, 440, 367, 474, 199, 14217, 5498, 509, 10892, 496, 564, 372, 1164, 3258, 259, 1284, 464, 5521, 1475, 509, 37103, 2244, 1475, 509, 331, 497, 2244, 52, 199, 426, 509, 37103, 7996, 298, 1884, 944, 2100, 416, 278, 518, 13090, 1039, 481, 31761, 397, 500, 18498, 601, 1054, 453, 4010, 199, 2852, 1500, 690, 199, 0, 199, 852, 20650, 22684, 8663, 1131, 265, 1938, 20825, 10727, 1994, 298, 2286, 9731, 46855, 337, 24047, 1323, 5881, 199, 337, 665, 33279, 695, 21428, 472, 479, 22459, 697, 10117, 2350, 1128, 28140, 7145, 292, 929, 1107, 441, 1097, 268, 199, 589, 549, 39458, 4125, 2044, 4401, 11649, 316, 836, 394, 1657, 577, 3722, 909, 2776, 1176, 5108, 499, 33823, 199, 756, 37767, 2430, 1547, 403, 506, 3003, 661, 12228, 782, 272, 913, 11436, 2100, 1069, 650, 317, 2092, 289, 1060, 371, 400, 199, 471, 3867, 23222, 625, 1882, 12229, 1322, 495, 336, 43471, 1828, 1304, 507, 14605, 429, 655, 5953, 536, 1529, 9539, 199, 4664, 368, 14685, 961, 463, 1475, 436, 4262, 684, 754, 1564, 455, 19303, 356, 1854, 925, 333, 24394, 501, 33751, 1777, 199, 33096, 10696, 816, 27790, 35305, 409, 3769, 760, 32660, 7823, 2967, 57, 1016, 10241, 1659, 596, 1738, 11992, 199, 297, 2121, 14523, 678, 257, 1777, 11026, 316, 5607, 674, 13224, 374, 960, 1070, 11232, 8319, 1649, 1634, 3343, 325, 199, 361, 520, 2703, 384, 376, 893, 1069, 318, 4072, 1162, 344, 445, 29551, 294, 688, 409, 502, 10160, 257, 732, 11278, 2126, 54, 199, 13586, 10241, 14074, 647, 2451, 9742, 2275, 293, 1086, 864, 31518, 1456, 463, 432, 377, 6771, 596, 421, 1213, 377, 199, 263, 5090, 282, 2413, 1114, 390, 2040, 323, 959, 2786, 321 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 5031, 621, 270, 1556, 353, 1098, 22981, 1962, 875, 199, 1550, 47391, 385, 574, 16153, 1033, 9759, 857, 1801, 1868, 39399, 5527, 740, 5257, 764, 336, 482, 776, 11199, 199, 456, 3472, 494, 419, 5926, 332, 657, 418, 455, 595, 371, 899, 11568, 39812, 21051, 942, 6586, 2234, 378, 18534, 314, 199, 12147, 8391, 1211, 601, 281, 1801, 266, 2755, 499, 1868, 286, 1627, 4918, 390, 923, 407, 26245, 322, 3348, 831, 3267, 199, 3128, 265, 1103, 433, 790, 438, 337, 1230, 1333, 21440, 1031, 5152, 337, 10713, 33761, 2757, 280, 761, 291, 4007, 396, 199, 51, 1510, 261, 12674, 378, 359, 2451, 18171, 405, 421, 578, 548, 6260, 1073, 407, 13634, 1180, 41431, 1318, 6717, 50225, 199, 5544, 2339, 1496, 398, 41262, 413, 14800, 1511, 369, 1687, 332, 570, 369, 779, 44075, 1457, 1071, 3534, 43, 1876, 433, 199, 571, 875, 295, 6017, 391, 816, 352, 14878, 1824, 410, 511, 3119, 340, 6579, 433, 9034, 1210, 13879, 1276, 6135, 331, 199, 1225, 1109, 10451, 374, 1188, 491, 5344, 9106, 1564, 10016, 870, 325, 35487, 646, 267, 579, 5103, 1949, 1736, 514, 199, 13244, 46374, 54, 199, 0, 199, 14886, 647, 406, 6263, 354, 44112, 4529, 373, 488, 16855, 5340, 1119, 350, 623, 20104, 12279, 708, 3441, 424, 199, 1189, 1164, 24321, 943, 322, 835, 6336, 9202, 438, 12887, 427, 329, 551, 625, 7387, 605, 14962, 7372, 1971, 50, 199, 12471, 834, 3030, 6693, 506, 359, 690, 7339, 5052, 597, 314, 10426, 1971, 6277, 2403, 1071, 1316, 849, 444, 199, 918, 39136, 1873, 273, 1498, 27211, 345, 668, 1760, 937, 262, 813, 781, 1010, 11640, 2720, 9794, 10503, 1775, 286, 199, 37, 17179, 757, 372, 458, 570, 958, 8044, 286, 521, 32899, 1365, 474, 868, 1628, 533, 382, 4083, 10639, 7785, 942, 199, 1508, 8767, 893, 2685, 1025, 13016, 464, 8155, 534, 39109, 2426, 1904, 19859, 1193, 40832, 2810, 24651, 12445, 199, 409, 1955, 1710, 337, 7685, 278, 906, 22460, 8485, 337, 2190, 361, 503, 485, 1867, 649, 373, 632, 46, 1122, 289, 694, 467, 199, 300, 665, 1860, 645, 402, 1615, 2262, 380, 562, 321, 3445, 2728, 276, 10842, 342, 590, 319, 507, 498, 7849, 1195, 360, 656, 199, 2511, 1320, 784, 350, 538, 372, 1116, 27073, 4943, 30896, 1389, 1193, 349, 16955, 20187, 3157, 28141, 1807, 534, 199, 43641, 2459, 656, 715, 6064, 5054, 2520, 18862, 782, 5977, 275, 762, 3854, 475, 8954, 2961, 510, 57, 1958, 199, 13390, 278, 3536, 1128, 19224, 266, 719, 292, 628, 11070, 26623, 982, 46, 999, 2369, 13662, 620, 1496, 24430, 52, 199, 581, 1152, 319, 19374, 1343, 475, 1621, 2670, 855, 369, 6118, 7624, 14990, 9083, 362, 12003, 578, 398, 825, 356, 199, 42463, 273, 1321, 11669, 1414, 38203, 2032, 1218, 277, 503, 30254, 40961, 7778, 11637, 30891, 791, 265, 1201, 408, 199, 1644, 404, 26668, 3061, 6040, 411, 286, 617, 41980, 2695, 270, 1406, 17530, 334, 691, 469, 707, 12578, 322, 650, 707, 275, 199, 286, 2136, 637, 574, 394, 658, 447, 36121, 9923, 351, 1670, 389, 3332, 829, 332, 3593, 2809, 482, 14096, 564, 2396, 4574, 199, 467, 340, 1520 ]

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

[ 727, 3945, 371, 8427, 531, 898, 316, 579, 414, 433, 3094, 729, 272, 1083, 43, 1942, 3564, 10426, 392, 199, 263, 610, 354, 1672, 3337, 35586, 3013, 372, 554, 318, 7280, 679, 6295, 566, 327, 672, 351, 467, 13001, 5635, 560, 986, 199, 421, 1039, 354, 586, 275, 677, 502, 372, 3118, 440, 583, 586, 2368, 276, 614, 676, 293, 482, 21764, 2880, 25488, 532, 199, 11427, 661, 13570, 45597, 331, 4788, 590, 474, 332, 3089, 583, 30849, 5313, 590, 6419, 19324, 432, 744, 417, 24689, 199, 44, 1554, 199, 0, 199, 3302, 2337, 1328, 2337, 30257, 37801, 1571, 2626, 20870, 357, 33301, 459, 392, 19449, 392, 2030, 272, 746, 561, 14826, 199, 373, 2528, 458, 8399, 1702, 43229, 1825, 543, 2113, 342, 5144, 2624, 547, 1493, 20367, 1399, 340, 3990, 312, 2982, 199, 1703, 355, 8452, 770, 954, 28992, 6963, 2770, 325, 808, 325, 397, 888, 437, 779, 463, 754, 1056, 788, 2619, 484, 199, 51, 395, 6779, 7034, 330, 2761, 510, 7724, 523, 4725, 4725, 17750, 4158, 360, 3419, 1598, 1518, 264, 1036, 199, 44, 6224, 464, 334, 1020, 4971, 1023, 650, 32517, 30320, 535, 10408, 319, 8301, 1277, 38559, 429, 7724, 393, 20166, 199, 44, 1938, 17731, 284, 12971, 831, 446, 3191, 6109, 1461, 350, 2219, 1195, 315, 1090, 297, 832, 481, 3684, 643, 301, 541, 2230, 199, 3559, 404, 8346, 524, 1183, 2412, 291, 732, 2522, 1802, 12414, 6081, 377, 9163, 354, 1983, 1249, 487, 2866, 267, 199, 37363, 413, 363, 604, 22810, 893, 453, 409, 3644, 5504, 284, 3678, 11180, 352, 4563, 21236, 588, 378, 1693, 10318, 547, 199, 7940, 36724, 10151, 1807, 453, 2695, 355, 575, 369, 21679, 453, 967, 47334, 264, 1119, 481, 2468, 3368, 296, 667, 1885, 199, 474, 437, 440, 400, 517, 356, 1969, 628, 1902, 6526, 552, 41909, 755, 4280, 290, 472, 14559, 8824, 584, 568, 453, 5298, 199, 5977, 516, 2314, 17591, 966, 259, 13077, 318, 11176, 469, 422, 24528, 1211, 2064, 33272, 826, 19546, 781, 335, 787, 199, 1801, 320, 3139, 10363, 969, 12028, 5104, 300, 1452, 317, 27363, 3690, 950, 45352, 631, 9322, 445, 382, 962, 476, 199, 661, 269, 1211, 382, 1418, 371, 1439, 14736, 2075, 14561, 4805, 258, 2856, 5619, 282, 2325, 283, 1063, 433, 1946, 15297, 199, 22278, 5076, 15024, 346, 1906, 2495, 471, 12468, 1434, 25210, 779, 45750, 951, 369, 475, 10249, 262, 502, 858, 415, 199, 1682, 822, 1967, 529, 44799, 1099, 38999, 24521, 2345, 33650, 1370, 822, 20769, 373, 9152, 1077, 360, 1283, 4276, 199, 14058, 28086, 962, 29988, 294, 687, 789, 38432, 2182, 449, 3762, 994, 734, 888, 854, 12774, 783, 31555, 370, 199, 719, 386, 1002, 10141, 520, 406, 623, 356, 11223, 268, 574, 30987, 967, 327, 19584, 833, 48485, 270, 994, 4023, 327, 199, 8736, 25481, 886, 278, 497, 7040, 12899, 11005, 264, 526, 1221, 373, 15682, 275, 1085, 32245, 1355, 515, 16033, 3205, 199, 919, 515, 16033, 16033, 271, 1586, 468, 12228, 8690, 1853, 398, 11128, 21515, 1584, 16116, 897, 780, 433, 3403, 446, 199, 18852, 2533, 3976, 199, 0, 199, 1912, 1882, 266, 380, 4133, 848, 342, 904 ]

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

[ 32755, 15314, 823, 579, 3281, 506, 24755, 298, 1443, 533, 326, 1121, 268, 199, 11777, 1621, 474, 422, 17510, 36586, 338, 572, 391, 6848, 271, 1565, 21885, 1320, 7108, 712, 16937, 316, 552, 950, 537, 199, 33802, 1415, 394, 407, 706, 372, 538, 1315, 606, 439, 593, 384, 17728, 1811, 259, 1105, 11777, 345, 4559, 298, 532, 5423, 5346, 199, 3227, 876, 974, 297, 16017, 36839, 1318, 9030, 1516, 2112, 22367, 737, 332, 7230, 875, 46651, 1215, 290, 3088, 199, 4374, 649, 266, 1790, 336, 824, 1169, 1950, 13601, 1220, 370, 1418, 287, 806, 3227, 334, 2971, 788, 911, 8882, 262, 199, 11736, 3484, 295, 1309, 500, 6820, 1846, 282, 1030, 347, 13883, 342, 382, 1102, 14405, 1844, 713, 1716, 277, 9866, 1440, 199, 17379, 433, 387, 3492, 28486, 1010, 1251, 397, 623, 1616, 36179, 885, 17197, 2253, 6214, 40, 2523, 301, 5281, 1475, 199, 392, 2152, 272, 866, 316, 8703, 4502, 3948, 347, 3166, 535, 2400, 523, 495, 472, 1526, 3961, 12087, 4988, 19465, 199, 463, 319, 788, 1068, 373, 338, 9807, 504, 748, 338, 586, 7537, 2185, 16680, 6878, 3769, 3317, 748, 25522, 1351, 199, 313, 1381, 48543, 479, 331, 1613, 281, 1216, 1257, 14953, 404, 816, 295, 629, 35972, 401, 1175, 262, 952, 313, 4954, 459, 199, 448, 389, 10348, 400, 43256, 14282, 1093, 22819, 27820, 585, 7294, 778, 5926, 4976, 295, 1463, 272, 1483, 16260, 199, 1508, 375, 2541, 403, 918, 313, 778, 405, 352, 953, 2177, 458, 404, 1320, 613, 389, 1647, 1362, 12047, 5232, 19973, 4731, 199, 341, 435, 489, 499, 4917, 312, 2434, 641, 312, 1268, 49213, 29790, 43012, 7118, 7041, 878, 312, 2247, 14236, 199, 392, 598, 9367, 1196, 358, 9278, 474, 3588, 910, 17769, 365, 1595, 283, 2040, 1149, 1595, 283, 1266, 438, 354, 2180, 36, 199, 44, 862, 48592, 1503, 431, 21030, 281, 1328, 381, 25587, 605, 6683, 1141, 361, 11440, 356, 18301, 5824, 2923, 8504, 52, 199, 2277, 480, 5591, 538, 33246, 263, 1718, 762, 5090, 5662, 4262, 270, 1165, 419, 2006, 509, 722, 966, 271, 3235, 343, 199, 654, 324, 2745, 367, 14890, 684, 490, 1926, 27971, 955, 20402, 1833, 36, 541, 3496, 600, 355, 1362, 478, 5235, 3957, 199, 27876, 8471, 527, 1637, 606, 384, 941, 263, 691, 3871, 284, 1042, 40283, 922, 7481, 398, 6266, 730, 12413, 1303, 199, 1900, 1458, 312, 1067, 1455, 294, 2915, 4731, 759, 328, 411, 1084, 312, 34807, 1606, 6087, 2654, 276, 1976, 1837, 292, 199, 2838, 276, 1654, 55, 199, 0, 199, 369, 1601, 30198, 518, 21333, 474, 4297, 292, 1033, 289, 2434, 31003, 531, 4862, 10948, 450, 4832, 37008, 283, 1480, 199, 318, 647, 23735, 4043, 1677, 1909, 2324, 48716, 7923, 21095, 446, 6653, 551, 57, 816, 502, 30900, 402, 4878, 52, 199, 11168, 413, 21427, 632, 481, 2446, 323, 509, 26154, 3062, 367, 649, 48310, 1112, 782, 3298, 267, 1737, 1364, 386, 745, 52, 199, 263, 2774, 461, 518, 6867, 323, 2495, 295, 612, 16398, 3176, 965, 3197, 2463, 2755, 399, 1398, 328, 710, 335, 419, 7685, 199, 1458, 287, 2876, 695, 868, 463, 2182, 969, 364, 856, 18981, 404 ]

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

[ 790, 8315, 274, 1736, 1438, 6839, 434, 875, 1202, 199, 387, 9120, 48437, 1257, 859, 8451, 343, 10979, 317, 541, 627, 440, 603, 283, 956, 43158, 1495, 13316, 387, 525, 199, 50157, 1420, 377, 2548, 1891, 920, 32148, 466, 875, 604, 36981, 833, 493, 5325, 33172, 373, 483, 7999, 4366, 6778, 199, 324, 604, 570, 17930, 978, 43236, 2565, 6065, 2706, 28349, 907, 466, 17685, 368, 3450, 4957, 34737, 313, 437, 829, 199, 11710, 4581, 391, 9883, 1589, 3127, 264, 19596, 346, 757, 417, 1099, 492, 893, 4653, 312, 877, 2257, 405, 878, 6705, 199, 18019, 696, 410, 5547, 364, 826, 387, 2591, 347, 7216, 2823, 284, 589, 5925, 612, 14146, 385, 1120, 494, 15874, 1391, 199, 51, 618, 37739, 794, 350, 4116, 427, 2959, 22689, 1857, 864, 31709, 1799, 341, 1716, 323, 1312, 287, 989, 538, 1481, 260, 199, 615, 41950, 3139, 270, 11588, 3484, 463, 1201, 1458, 5484, 28857, 664, 4809, 448, 7877, 340, 662, 33387, 355, 537, 279, 199, 578, 664, 898, 263, 620, 1097, 10649, 266, 463, 300, 2591, 1484, 335, 6165, 10220, 2348, 1564, 596, 278, 1163, 5139, 199, 630, 333, 1401, 265, 3975, 404, 1387, 1930, 282, 1305, 557, 4607, 11080, 817, 528, 8777, 314, 2943, 1394, 644, 317, 1031, 199, 42402, 1054, 917, 279, 2231, 270, 28370, 1114, 495, 817, 22905, 12022, 278, 2886, 375, 931, 1964, 17311, 2986, 21007, 199, 1754, 31457, 1147, 351, 2189, 807, 320, 532, 26979, 419, 1350, 402, 35214, 1278, 492, 37943, 384, 1653, 14174, 1713, 300, 199, 641, 14234, 544, 12277, 286, 7842, 774, 12283, 670, 48479, 549, 22819, 3551, 455, 1298, 661, 6978, 837, 39632, 477, 199, 25497, 3378, 11678, 1831, 449, 2819, 4636, 1613, 45596, 5262, 671, 11862, 1064, 2020, 1680, 634, 1356, 608, 285, 7520, 199, 340, 1114, 295, 27005, 744, 47341, 316, 393, 1319, 532, 318, 22273, 565, 4455, 650, 958, 274, 774, 328, 451, 1011, 4254, 34011, 199, 996, 2982, 1100, 199, 0, 199, 1129, 49309, 289, 9015, 511, 2287, 263, 6129, 339, 675, 440, 15705, 4895, 10924, 2889, 376, 11022, 6080, 607, 3183, 199, 724, 25130, 8748, 38827, 995, 402, 1024, 12567, 2492, 40726, 28419, 29713, 3119, 1114, 322, 4804, 2023, 437, 199, 10633, 1698, 47659, 410, 381, 18955, 564, 875, 10262, 773, 844, 48805, 364, 989, 361, 1190, 25566, 1101, 9134, 49, 199, 511, 765, 542, 2079, 1425, 331, 22370, 1091, 266, 463, 639, 279, 27650, 1406, 294, 592, 3222, 35855, 696, 449, 34554, 328, 199, 1251, 18788, 5927, 6183, 287, 1871, 36226, 22790, 8547, 792, 470, 821, 7979, 20555, 634, 290, 2719, 8590, 54, 199, 41, 1876, 1363, 1363, 296, 800, 1479, 299, 536, 28576, 2986, 266, 27079, 991, 2363, 371, 9514, 347, 1346, 817, 7698, 199, 6385, 321, 615, 427, 815, 5108, 446, 613, 34159, 27521, 1129, 9551, 320, 6756, 2765, 1640, 263, 6129, 339, 675, 440, 199, 15705, 4895, 10924, 2889, 376, 11022, 6080, 607, 3971, 323, 27391, 8748, 38827, 995, 402, 1024, 12567, 2492, 33, 199, 32764, 28419, 29713, 3119, 1114, 322, 4804, 2023, 437, 10633, 1698, 47659, 410, 381, 18955, 564, 875, 322, 6181, 648, 199, 358 ]

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

[ 48805, 364, 989, 361, 1190, 25566, 1101, 9134, 454, 39171, 542, 2079, 1425, 327, 16183, 1091, 266, 463, 722, 279, 199, 465, 16986, 294, 592, 3222, 35855, 731, 449, 34554, 328, 1251, 18788, 2658, 6183, 320, 23539, 1061, 337, 13829, 280, 199, 792, 470, 821, 7979, 24207, 634, 290, 2719, 8590, 289, 1876, 2142, 1363, 296, 800, 1479, 299, 536, 28576, 3154, 199, 428, 27079, 991, 2929, 371, 9514, 347, 1346, 817, 859, 356, 15401, 526, 25017, 27179, 642, 1719, 520, 20079, 7443, 199, 13937, 675, 440, 1871, 350, 1248, 45590, 426, 6246, 514, 3171, 607, 3183, 724, 27391, 2660, 470, 9880, 2206, 6456, 199, 44, 12567, 2492, 2034, 31899, 407, 26940, 1580, 1932, 592, 3355, 496, 3486, 6898, 368, 990, 641, 410, 381, 2041, 373, 497, 199, 11640, 1653, 29361, 43344, 364, 989, 353, 1190, 262, 2292, 620, 1276, 454, 2219, 371, 774, 268, 1425, 32395, 19771, 791, 199, 481, 4297, 279, 559, 47146, 294, 592, 375, 2550, 46011, 449, 34554, 328, 1251, 18788, 257, 5981, 1450, 398, 11363, 1061, 199, 937, 647, 11069, 362, 21197, 7979, 20555, 634, 290, 3681, 19929, 289, 1876, 1363, 1363, 296, 800, 2127, 8677, 199, 44, 28576, 37543, 1425, 288, 1169, 2929, 925, 36184, 1346, 817, 859, 356, 15401, 6122, 359, 382, 3816, 446, 613, 39586, 199, 405, 7001, 881, 199, 0, 199, 1282, 1928, 11545, 361, 27525, 318, 1571, 21866, 10178, 941, 279, 3034, 715, 11866, 1115, 263, 1474, 730, 16061, 199, 440, 731, 1366, 479, 10543, 2839, 342, 1341, 399, 1576, 1260, 1682, 40066, 496, 1741, 264, 736, 2079, 1457, 38, 816, 423, 1121, 199, 41929, 23512, 392, 512, 5619, 329, 43674, 407, 915, 407, 1985, 1697, 425, 3214, 685, 295, 801, 433, 563, 15426, 422, 2301, 199, 34357, 14424, 3583, 656, 5213, 1308, 267, 661, 314, 994, 318, 5311, 27892, 1328, 2023, 6609, 889, 22289, 540, 199, 12546, 327, 584, 2872, 398, 1167, 36567, 23992, 1267, 25502, 372, 537, 18786, 474, 2144, 13909, 2078, 393, 439, 808, 199, 5103, 984, 731, 1854, 471, 10878, 2579, 386, 1893, 10558, 1360, 352, 23714, 394, 406, 15081, 2065, 1714, 326, 5778, 285, 199, 514, 13211, 404, 9188, 395, 13379, 298, 595, 324, 8942, 260, 35779, 10924, 551, 541, 509, 18310, 757, 1241, 841, 1054, 199, 14984, 3636, 12071, 1113, 5697, 358, 407, 26048, 318, 4803, 485, 17968, 786, 4883, 1823, 18618, 29875, 19430, 199, 45088, 840, 887, 6754, 1081, 548, 1770, 282, 874, 7918, 4782, 2256, 2110, 284, 36439, 1195, 1033, 48, 7719, 199, 1934, 373, 535, 18891, 369, 8173, 815, 10848, 30680, 15536, 480, 8982, 13398, 431, 13351, 4561, 338, 922, 350, 3982, 199, 643, 413, 12052, 8875, 677, 22855, 848, 381, 940, 31875, 7538, 40995, 373, 7722, 846, 36561, 45883, 7060, 57, 199, 16217, 3827, 1300, 342, 1582, 1115, 513, 281, 21291, 1245, 41265, 749, 38451, 602, 390, 7224, 387, 721, 1934, 27401, 199, 4355, 1872, 16521, 636, 825, 1893, 1583, 3500, 2103, 37668, 4054, 2489, 3553, 37424, 300, 8981, 4453, 1710, 199, 9596, 24588, 388, 27633, 812, 3853, 533, 392, 1297, 438, 22642, 830, 349, 447, 3778, 40452, 1013, 834, 20004, 36380 ]

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

[ 199, 1835, 10259, 375, 1874, 296, 419, 2795, 264, 531, 427, 4792, 19082, 424, 5740, 295, 1333, 1184, 3830, 375, 9181, 366, 499, 199, 417, 669, 327, 1978, 362, 45, 1215, 678, 279, 5851, 294, 1889, 1670, 788, 6780, 7243, 464, 24118, 385, 9495, 13924, 199, 960, 1225, 19586, 348, 8648, 381, 16274, 760, 5741, 1677, 14141, 317, 1129, 377, 15344, 394, 32111, 3995, 396, 20617, 199, 925, 39190, 3998, 2123, 1004, 404, 668, 2151, 269, 1245, 36311, 1866, 358, 35906, 901, 10854, 2439, 563, 268, 1283, 199, 312, 1866, 788, 443, 15089, 360, 336, 6900, 1084, 910, 313, 1287, 36242, 13323, 4631, 6877, 1388, 24822, 401, 637, 199, 51, 10878, 35394, 199, 0, 199, 25767, 365, 547, 18055, 990, 279, 1517, 1987, 47774, 1196, 38378, 9399, 35509, 1500, 2380, 1395, 466, 732, 410, 199, 31010, 378, 2677, 703, 47943, 969, 276, 16395, 709, 456, 604, 345, 1602, 952, 2027, 22138, 347, 612, 321, 1701, 453, 2856, 199, 1835, 354, 396, 526, 330, 1138, 591, 16724, 368, 435, 278, 3608, 323, 13888, 275, 1719, 724, 30177, 1722, 300, 3388, 7340, 199, 535, 482, 18056, 42947, 263, 1354, 266, 680, 36205, 401, 504, 10828, 334, 2961, 25409, 1457, 1182, 23606, 17078, 199, 39, 491, 676, 14305, 1153, 25582, 43809, 655, 704, 275, 1276, 1195, 1642, 1186, 590, 28676, 1116, 357, 8311, 621, 4403, 199, 274, 1755, 1873, 901, 1104, 1774, 268, 851, 3449, 414, 382, 1033, 16826, 394, 37012, 9081, 8919, 369, 942, 413, 1484, 199, 42949, 409, 625, 378, 5764, 335, 830, 12016, 434, 923, 19692, 374, 7376, 381, 9612, 1457, 537, 439, 10293, 30124, 199, 406, 1638, 11218, 501, 278, 8672, 28849, 1352, 282, 1398, 390, 1880, 32383, 374, 1295, 584, 33544, 621, 33803, 2061, 199, 899, 32658, 439, 10293, 13914, 20119, 976, 284, 439, 10293, 350, 795, 4295, 284, 33803, 600, 2794, 371, 584, 318, 199, 1894, 277, 439, 10293, 423, 584, 406, 1789, 458, 439, 7718, 1013, 358, 1906, 325, 587, 2293, 389, 18642, 341, 4150, 1099, 199, 502, 18407, 1639, 3763, 300, 36027, 4185, 471, 33809, 377, 1741, 11216, 360, 14930, 284, 1281, 43834, 2223, 1168, 46, 199, 16298, 1941, 14610, 25623, 10684, 952, 448, 11686, 447, 2841, 34770, 1491, 289, 870, 23498, 9668, 3110, 459, 1536, 199, 904, 277, 1189, 4491, 4539, 684, 1996, 11567, 370, 15390, 1205, 10041, 370, 9510, 1570, 294, 963, 12032, 1995, 199, 19820, 2202, 915, 15776, 445, 615, 264, 36643, 520, 371, 664, 1847, 1166, 5270, 285, 1732, 411, 6125, 1542, 258, 2300, 199, 340, 849, 18674, 321, 568, 14936, 22341, 23525, 521, 812, 410, 2073, 20596, 1299, 376, 8600, 549, 547, 14313, 437, 2157, 199, 378, 1796, 23708, 396, 514, 787, 474, 380, 16133, 796, 419, 511, 450, 18083, 5807, 509, 404, 564, 458, 1513, 15343, 1862, 385, 199, 36810, 9175, 521, 4562, 1928, 8568, 781, 533, 364, 22960, 6606, 741, 275, 1547, 590, 273, 801, 3597, 40792, 23560, 199, 13585, 732, 20210, 352, 499, 22689, 773, 297, 574, 4967, 703, 383, 661, 329, 1705, 289, 546, 339, 2869, 13582, 286, 894, 324, 199, 416, 617, 982, 1570, 838, 1897, 485 ]

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

[ 926, 1498, 859, 940, 541, 2328, 1403, 43821, 538, 31138, 1423, 323, 19662, 634, 52, 199, 403, 2782, 1271, 50, 199, 0, 199, 1094, 27944, 1407, 1279, 482, 976, 259, 879, 399, 409, 4245, 464, 22454, 1081, 791, 424, 6987, 294, 650, 13798, 37003, 199, 287, 1030, 612, 1906, 4502, 9546, 920, 1585, 299, 5311, 13441, 363, 1551, 325, 39294, 320, 557, 2651, 47690, 1339, 43, 199, 335, 1560, 1699, 1023, 375, 15742, 1910, 2569, 470, 1640, 1741, 7441, 803, 399, 2590, 21030, 1852, 6760, 7008, 28697, 199, 20089, 35474, 425, 380, 17845, 1052, 1168, 2577, 2378, 6582, 3204, 432, 502, 593, 31437, 20478, 36426, 2967, 1855, 199, 3765, 23013, 758, 16891, 2172, 2867, 1133, 315, 1415, 2583, 389, 5027, 1375, 1549, 5257, 24879, 1070, 5507, 199, 265, 570, 525, 428, 468, 4117, 1208, 2173, 782, 11860, 341, 435, 14938, 5027, 990, 365, 632, 14135, 3306, 289, 2250, 199, 1994, 1812, 419, 730, 10474, 340, 887, 27461, 3081, 8013, 837, 4710, 2558, 4179, 320, 1498, 758, 6786, 1820, 199, 455, 1626, 18786, 1345, 7033, 1361, 17502, 3351, 596, 7888, 760, 289, 397, 10692, 363, 2160, 2971, 262, 1857, 1132, 199, 1102, 15605, 400, 12308, 2152, 317, 34049, 2156, 374, 788, 6430, 483, 3747, 611, 282, 1794, 8927, 2076, 1307, 47677, 199, 265, 6100, 297, 912, 358, 9706, 729, 289, 1556, 4741, 9832, 13820, 715, 34619, 313, 6793, 407, 2799, 4604, 483, 199, 410, 766, 1432, 33658, 1764, 1386, 21453, 1039, 5667, 625, 545, 874, 412, 8361, 502, 619, 22150, 709, 445, 1135, 199, 265, 2364, 365, 9308, 565, 20103, 332, 13887, 1306, 313, 916, 726, 390, 3501, 313, 1291, 291, 2223, 502, 7195, 1316, 258, 199, 278, 630, 260, 1480, 2099, 608, 3450, 2548, 283, 788, 3107, 15133, 22576, 1148, 17589, 684, 17530, 991, 1997, 10942, 199, 450, 336, 1212, 371, 590, 539, 10169, 462, 706, 278, 1960, 635, 271, 850, 924, 7439, 515, 323, 1209, 1197, 290, 3277, 1948, 199, 468, 648, 11015, 1159, 367, 2320, 405, 559, 6761, 6355, 1697, 406, 18712, 2906, 531, 1207, 300, 2836, 319, 745, 1602, 372, 199, 2241, 12791, 450, 3489, 1622, 512, 696, 7683, 811, 1048, 3125, 263, 2593, 3146, 4942, 708, 363, 1166, 24360, 199, 6749, 1738, 8674, 1090, 7807, 1936, 1005, 15126, 1376, 41912, 2181, 317, 612, 879, 640, 11379, 28267, 4912, 283, 199, 8711, 2175, 974, 815, 17179, 709, 384, 21084, 1712, 376, 18878, 5106, 5991, 14403, 1704, 1451, 341, 3000, 35, 199, 14659, 1691, 1776, 19751, 393, 871, 2072, 323, 983, 591, 3932, 11211, 7773, 381, 366, 1059, 2568, 14044, 1471, 466, 199, 345, 1071, 42948, 199, 0, 199, 27408, 3628, 2157, 4194, 266, 1442, 1551, 299, 1219, 5036, 3105, 45119, 1156, 2330, 5627, 18435, 45416, 2533, 438, 199, 57, 1009, 278, 1340, 44912, 386, 8699, 47789, 2645, 583, 1800, 326, 1914, 10711, 3715, 583, 3958, 45795, 435, 683, 199, 44, 22552, 1185, 273, 648, 1077, 1021, 14474, 336, 42578, 608, 697, 25409, 404, 6766, 1015, 38759, 30017, 2327, 923, 199, 265, 42585, 1482, 288, 2780, 278, 20885, 2291, 22988, 44977, 24852, 655, 355, 1662, 5964, 280, 954, 259, 2153 ]

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

[ 7280, 199, 428, 2140, 301, 2813, 3112, 16896, 18305, 347, 1688, 13593, 17898, 2682, 517, 5861, 269, 1726, 3402, 981, 687, 199, 27437, 1576, 281, 36299, 1210, 950, 8151, 798, 44944, 6623, 929, 3656, 425, 437, 1155, 16274, 662, 1878, 361, 608, 46, 199, 12693, 1133, 15878, 528, 9400, 41045, 816, 269, 27033, 567, 17726, 2803, 2951, 1545, 329, 663, 520, 261, 1088, 14825, 199, 1925, 3819, 366, 858, 274, 375, 2227, 319, 43236, 2759, 20246, 14763, 983, 4856, 409, 1162, 278, 2745, 855, 438, 413, 199, 1069, 411, 1724, 1228, 7389, 936, 327, 393, 403, 9972, 842, 1207, 4156, 318, 1215, 20849, 2940, 1361, 285, 915, 284, 199, 14121, 1067, 1002, 3891, 1928, 282, 550, 348, 17607, 429, 611, 10001, 2208, 688, 431, 11304, 22888, 1559, 410, 13067, 199, 39, 2332, 3136, 795, 313, 2280, 14879, 873, 346, 6005, 458, 26141, 582, 3481, 390, 2229, 16510, 40988, 409, 4207, 1371, 199, 1884, 394, 2273, 397, 528, 939, 31995, 714, 470, 1230, 257, 1068, 5876, 647, 4743, 456, 935, 12259, 402, 1132, 10891, 199, 337, 1649, 636, 1527, 1030, 433, 1751, 447, 2708, 352, 778, 404, 11936, 412, 8170, 657, 3159, 41164, 11525, 8885, 12600, 199, 403, 15033, 277, 20922, 473, 876, 263, 823, 3089, 379, 440, 326, 682, 398, 520, 319, 1415, 3200, 486, 521, 49, 1915, 26829, 199, 27268, 5768, 1805, 427, 453, 367, 3137, 329, 545, 17377, 48714, 386, 2257, 274, 37210, 14114, 673, 314, 30380, 457, 199, 27505, 285, 2399, 25587, 2043, 7174, 1818, 277, 298, 1592, 20508, 288, 2330, 1193, 370, 15501, 373, 8038, 460, 817, 199, 761, 7897, 898, 318, 2402, 4064, 292, 454, 10779, 1949, 1543, 2889, 352, 10491, 440, 4171, 15147, 10190, 41623, 627, 199, 37, 21420, 968, 1469, 1117, 745, 588, 277, 1719, 1112, 786, 312, 12335, 417, 742, 326, 4277, 2390, 421, 1112, 3493, 258, 199, 416, 513, 530, 640, 28061, 435, 24079, 325, 2487, 686, 293, 1177, 452, 1941, 402, 273, 1201, 6536, 579, 1317, 640, 478, 25176, 199, 4418, 686, 267, 199, 0, 199, 468, 5058, 781, 3769, 349, 9487, 378, 1556, 13545, 1942, 325, 1656, 270, 11164, 2502, 48497, 749, 1448, 7882, 199, 8064, 32662, 675, 280, 5084, 887, 800, 279, 3474, 16089, 528, 332, 733, 299, 1196, 264, 529, 15182, 714, 359, 7428, 199, 605, 7063, 332, 1901, 867, 1160, 327, 1033, 285, 719, 20978, 2434, 14769, 406, 5489, 441, 5599, 21964, 35, 1892, 528, 199, 44, 23796, 14863, 447, 6135, 271, 6977, 17157, 371, 14691, 3664, 687, 11487, 260, 1137, 594, 46895, 25508, 336, 585, 199, 40923, 351, 432, 612, 1599, 7590, 2492, 1104, 341, 1278, 713, 7044, 858, 55, 2503, 7953, 451, 825, 366, 39428, 8463, 199, 2177, 357, 620, 5428, 352, 1269, 4365, 1053, 405, 818, 2440, 44264, 347, 862, 2953, 7750, 317, 992, 375, 41646, 45, 199, 859, 611, 1106, 14481, 805, 24732, 1188, 966, 396, 749, 15638, 317, 1768, 11091, 262, 612, 922, 6386, 267, 672, 583, 199, 842, 433, 518, 286, 11407, 4171, 312, 2595, 369, 35463, 8079, 992, 405, 22818, 9959, 1185, 8306, 464, 4592, 1011, 199, 761, 20697, 503, 27949 ]

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

[ 534, 9060, 35415, 280, 960, 1149, 2892, 25033, 365, 709, 266, 372, 596, 4317, 380, 14093, 199, 387, 602, 744, 28762, 325, 458, 35, 942, 316, 1059, 417, 332, 15256, 416, 24736, 2640, 299, 734, 290, 885, 759, 346, 511, 3428, 199, 642, 338, 12030, 501, 295, 1334, 5835, 19330, 595, 4123, 1443, 2753, 4340, 1553, 9179, 296, 5847, 1774, 870, 19273, 199, 19575, 297, 564, 435, 2096, 430, 529, 344, 4620, 399, 497, 354, 15929, 6840, 7398, 31367, 2487, 359, 5481, 6375, 3434, 199, 340, 1744, 27477, 601, 8423, 355, 11160, 3207, 1582, 271, 4107, 760, 9117, 1336, 32868, 343, 2936, 277, 868, 55, 199, 8602, 974, 328, 1903, 3902, 566, 362, 4154, 39771, 653, 34396, 381, 27813, 23284, 313, 1587, 1025, 12128, 23242, 199, 364, 17477, 620, 1562, 349, 973, 7005, 29277, 2545, 722, 20904, 642, 3070, 339, 962, 1924, 22922, 994, 34399, 199, 8291, 1140, 663, 638, 285, 534, 635, 827, 508, 5586, 422, 25498, 13410, 1740, 553, 24318, 2182, 1269, 2824, 2082, 2704, 199, 340, 1290, 7935, 1952, 46409, 846, 281, 716, 27608, 443, 4227, 663, 29272, 14416, 615, 6370, 2953, 2294, 275, 199, 726, 4872, 373, 1822, 14007, 3865, 1413, 675, 477, 820, 18670, 786, 8416, 1369, 357, 465, 5536, 362, 684, 3007, 199, 3144, 497, 3978, 20031, 661, 6692, 381, 1483, 4551, 37989, 1603, 601, 486, 6763, 1159, 364, 6961, 17673, 376, 199, 1331, 1081, 16732, 199, 0, 199, 385, 38847, 3187, 21165, 10812, 341, 6015, 1137, 38060, 1674, 817, 323, 999, 1796, 12690, 781, 1084, 24047, 199, 531, 938, 36736, 420, 3658, 1394, 498, 263, 884, 14558, 1103, 416, 8188, 358, 2822, 336, 9295, 897, 1304, 813, 199, 23473, 24786, 2776, 877, 8006, 610, 32633, 3961, 17811, 1795, 37590, 428, 5854, 279, 18996, 3680, 48897, 199, 482, 386, 1176, 330, 1501, 328, 442, 14361, 28871, 290, 1344, 8060, 7492, 4820, 464, 2024, 326, 916, 11958, 4000, 199, 963, 6784, 19228, 1352, 5218, 487, 9924, 325, 1354, 273, 1758, 2102, 283, 1130, 27381, 1854, 1328, 803, 11994, 43, 199, 295, 382, 12942, 495, 3823, 3002, 354, 3227, 421, 964, 503, 40975, 8934, 1738, 3018, 678, 6331, 8914, 1122, 294, 199, 1461, 410, 4066, 624, 265, 530, 18579, 1751, 5010, 883, 7923, 561, 341, 781, 21736, 11208, 1025, 431, 1732, 6608, 199, 5196, 24201, 16662, 523, 371, 946, 1283, 26249, 6601, 407, 560, 356, 529, 2840, 362, 941, 3065, 978, 501, 429, 199, 14972, 24939, 1201, 52, 1282, 19929, 5518, 443, 31188, 22211, 969, 36106, 741, 5252, 461, 292, 422, 409, 7935, 21112, 199, 580, 13111, 20766, 766, 405, 1573, 21776, 4939, 9409, 452, 7557, 720, 28831, 386, 634, 413, 397, 31275, 4655, 625, 199, 3286, 27609, 322, 23729, 703, 40235, 32327, 843, 709, 877, 13272, 348, 6118, 2526, 272, 1203, 922, 7422, 794, 199, 31091, 2680, 373, 293, 1015, 31756, 1218, 276, 21053, 3116, 593, 596, 1727, 40964, 8629, 329, 816, 320, 686, 603, 48, 199, 51, 6358, 1473, 1107, 14103, 1010, 602, 377, 1982, 35894, 959, 13660, 32235, 1542, 1522, 5752, 362, 2097, 4422, 41, 199, 390, 589, 5007, 1350, 12134, 459, 44200, 340, 415 ]

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

[ 43456, 7255, 22032, 374, 709, 2069, 1085, 1597, 388, 15279, 389, 199, 1105, 15743, 616, 529, 431, 340, 1622, 2268, 262, 1825, 20603, 297, 1565, 4911, 332, 1220, 263, 902, 293, 862, 5863, 356, 199, 17445, 349, 2205, 9401, 650, 260, 1050, 440, 40254, 387, 2176, 8809, 27021, 1365, 430, 12661, 2104, 265, 447, 10388, 199, 4707, 416, 3220, 3261, 260, 877, 1267, 291, 2310, 27012, 319, 568, 615, 593, 30228, 1077, 34126, 36, 1506, 55, 3024, 407, 199, 1508, 38525, 13881, 40, 1211, 257, 1454, 2826, 402, 395, 542, 3879, 2090, 2387, 13380, 1822, 9285, 24796, 1207, 12367, 33, 199, 12490, 884, 788, 1230, 1433, 322, 908, 13222, 18417, 25189, 35315, 2741, 2349, 262, 1236, 2436, 282, 517, 263, 199, 44, 2979, 390, 8125, 199, 0, 199, 445, 15947, 535, 27355, 6090, 794, 265, 553, 2953, 44789, 359, 6259, 958, 13652, 57, 1625, 13820, 1851, 413, 8211, 199, 414, 1823, 6056, 1320, 33566, 13855, 29858, 1408, 1611, 15235, 1980, 1968, 299, 1013, 28382, 1127, 367, 812, 11890, 199, 277, 1007, 359, 5340, 1825, 452, 341, 7802, 654, 371, 2076, 49, 1213, 272, 827, 23449, 480, 26541, 32304, 1773, 451, 2001, 199, 17628, 16888, 383, 1340, 19890, 1829, 352, 2108, 1175, 1334, 2683, 427, 1933, 506, 8154, 998, 417, 334, 36137, 1864, 40, 199, 396, 8966, 7109, 450, 396, 3819, 859, 371, 1900, 367, 9819, 4619, 29502, 350, 475, 815, 543, 559, 3728, 812, 337, 199, 37, 34046, 1630, 5822, 8871, 332, 725, 4943, 1978, 373, 5798, 589, 364, 11577, 2076, 2388, 785, 329, 1083, 418, 387, 199, 21128, 6390, 7773, 18996, 745, 328, 1142, 690, 16703, 11907, 591, 7163, 1148, 397, 27907, 1276, 1373, 3045, 365, 199, 3687, 26434, 393, 1396, 30828, 398, 1698, 367, 22547, 830, 794, 15269, 457, 5692, 363, 16580, 9251, 3241, 452, 439, 199, 51, 4237, 271, 2705, 461, 263, 1257, 48807, 1991, 483, 3719, 44314, 21485, 11622, 8066, 6486, 433, 31145, 1663, 46, 199, 8886, 46377, 1581, 12335, 41252, 5343, 832, 25225, 827, 1144, 1231, 13114, 330, 2276, 276, 2195, 6820, 2877, 38, 199, 583, 732, 4436, 464, 897, 15597, 2778, 1000, 2034, 278, 3604, 5580, 447, 3682, 293, 20301, 2556, 317, 560, 23560, 199, 462, 359, 19817, 1214, 370, 1384, 1093, 342, 3286, 297, 816, 341, 28398, 33404, 381, 529, 5241, 26758, 496, 599, 289, 1500, 199, 7285, 886, 44703, 13449, 702, 290, 2118, 2456, 15172, 8460, 371, 8497, 265, 476, 3759, 1934, 2002, 316, 1605, 2023, 199, 11984, 3619, 19390, 921, 407, 12223, 399, 427, 398, 2388, 391, 5908, 1120, 6882, 958, 3715, 1363, 364, 1039, 506, 328, 199, 267, 4239, 344, 1125, 46213, 933, 363, 1528, 328, 18500, 9064, 583, 26077, 362, 455, 21231, 1440, 6799, 327, 3269, 41, 199, 464, 39654, 400, 404, 400, 15085, 1939, 2647, 52, 889, 29560, 820, 16180, 599, 431, 14793, 23112, 21527, 433, 7841, 199, 762, 606, 6524, 16953, 9246, 555, 382, 554, 5765, 22472, 4801, 293, 1314, 24762, 331, 459, 357, 16536, 25999, 35084, 199, 426, 17784, 28513, 1787, 2097, 39686, 7723, 513, 2962, 497, 3676, 4294, 396, 3374, 564, 330, 15027, 6219, 498, 199, 9908 ]

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

[ 277, 7819, 372, 918, 330, 578, 1625, 5822, 2155, 6807, 433, 1693, 41889, 9638, 2591, 13598, 1823, 10303, 199, 1560, 334, 8830, 199, 0, 199, 615, 407, 5951, 617, 1219, 368, 864, 377, 3064, 324, 1210, 2633, 7571, 1245, 284, 951, 559, 1132, 289, 2998, 2640, 17477, 199, 34209, 3146, 2440, 1516, 27960, 279, 1529, 48, 7192, 394, 6573, 821, 1240, 437, 398, 7825, 947, 20200, 1407, 613, 38, 199, 22842, 2526, 998, 456, 265, 572, 4003, 584, 406, 1966, 5865, 614, 371, 2388, 29309, 813, 417, 517, 283, 1995, 1695, 199, 51, 1221, 10314, 683, 391, 388, 13628, 265, 4263, 275, 8864, 410, 476, 26933, 1211, 19643, 9201, 438, 3137, 327, 9212, 199, 1835, 313, 2245, 1224, 6428, 815, 346, 687, 6842, 21873, 287, 1988, 341, 23895, 1615, 295, 541, 503, 298, 898, 14384, 199, 699, 358, 1821, 463, 393, 10262, 1285, 358, 19168, 17782, 626, 314, 478, 370, 3876, 552, 3685, 795, 266, 3605, 265, 1060, 33, 199, 9125, 816, 583, 13997, 5510, 2253, 48614, 1541, 10482, 3926, 19659, 937, 819, 723, 337, 1616, 1575, 1860, 330, 199, 4809, 292, 1261, 48, 1972, 751, 263, 1738, 276, 1409, 25466, 962, 847, 320, 4804, 31287, 1230, 49871, 340, 45, 1868, 271, 199, 32170, 21730, 534, 5745, 39433, 1251, 48299, 3834, 1186, 1226, 276, 644, 2239, 1250, 352, 2179, 27744, 703, 281, 447, 199, 356, 1760, 1120, 38512, 8924, 578, 364, 2403, 258, 562, 451, 1318, 269, 909, 352, 436, 908, 440, 327, 819, 299, 528, 545, 41, 199, 290, 9602, 678, 7653, 4635, 289, 753, 19168, 475, 6206, 19045, 6155, 9211, 26956, 3713, 33268, 3088, 26983, 199, 640, 2149, 269, 547, 817, 322, 1062, 13950, 352, 872, 358, 423, 1566, 383, 685, 6516, 7697, 1966, 5021, 353, 2464, 38, 199, 943, 29600, 1939, 8430, 1461, 407, 544, 5438, 272, 1461, 552, 860, 391, 780, 16352, 11186, 1953, 433, 849, 7766, 199, 20513, 831, 439, 1032, 295, 695, 317, 1350, 12454, 1345, 405, 1220, 1301, 1772, 1353, 3345, 298, 3082, 398, 2494, 626, 369, 199, 426, 41992, 891, 5031, 7021, 947, 269, 1097, 36, 2767, 10272, 1592, 26387, 5767, 317, 1557, 358, 2341, 931, 2292, 199, 1075, 19324, 927, 1530, 532, 334, 17821, 2337, 8790, 342, 695, 391, 10898, 2776, 35337, 541, 276, 18759, 34391, 33, 199, 29325, 2489, 2218, 619, 376, 2947, 298, 9854, 4422, 489, 363, 635, 25448, 11358, 48337, 928, 476, 2860, 631, 553, 199, 16525, 332, 610, 383, 7530, 495, 1228, 45140, 774, 646, 1633, 1961, 20519, 415, 636, 11913, 420, 368, 3466, 998, 346, 199, 380, 1345, 779, 546, 13565, 463, 798, 266, 976, 3531, 7231, 14527, 587, 21095, 654, 32179, 829, 411, 24195, 573, 199, 283, 665, 277, 575, 199, 0, 199, 1059, 2460, 3997, 43610, 3406, 9787, 39615, 6623, 262, 1573, 39084, 365, 1529, 428, 856, 376, 543, 374, 7516, 199, 589, 3984, 280, 1191, 958, 710, 276, 1053, 631, 406, 537, 2538, 809, 964, 568, 28905, 293, 874, 345, 624, 15503, 199, 39, 3436, 894, 3504, 1164, 19978, 622, 2728, 2484, 339, 521, 407, 11150, 13051, 342, 554, 40, 1486, 28430, 1019, 349, 1161 ]

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

[ 199, 265, 630, 459, 9886, 584, 438, 589, 8204, 368, 605, 289, 1210, 520, 2500, 454, 597, 20227, 640, 455, 2721, 30039, 41, 199, 3040, 275, 1240, 20194, 261, 482, 667, 17293, 566, 397, 15288, 1445, 3799, 35106, 263, 1281, 2124, 40, 1037, 485, 2985, 54, 199, 267, 547, 3804, 329, 2750, 388, 542, 277, 17603, 583, 7005, 428, 13166, 370, 10552, 335, 6737, 533, 409, 1380, 3101, 947, 389, 390, 199, 18851, 1132, 295, 657, 11192, 1478, 1312, 358, 14763, 1065, 323, 17497, 7599, 972, 367, 1341, 32883, 351, 714, 25991, 199, 490, 29712, 815, 346, 7786, 449, 3267, 2526, 2659, 284, 1614, 5768, 371, 4172, 370, 1232, 17447, 2546, 385, 356, 3924, 199, 594, 331, 3050, 3625, 530, 456, 16625, 1099, 10611, 13509, 17711, 318, 923, 5373, 26300, 1497, 43555, 341, 16764, 199, 44, 2217, 1219, 258, 2356, 610, 447, 12578, 19076, 1510, 10593, 10419, 21081, 356, 14849, 1984, 314, 14929, 1387, 23709, 199, 269, 783, 282, 650, 331, 688, 325, 6303, 6250, 14457, 16692, 895, 11242, 335, 43534, 329, 656, 8686, 1251, 748, 500, 199, 37, 6961, 1584, 337, 1817, 356, 13889, 421, 2122, 11291, 29915, 1673, 1051, 1026, 471, 4383, 14781, 367, 573, 27894, 24638, 199, 39, 2245, 25323, 40202, 729, 7651, 2013, 1276, 45336, 314, 17828, 317, 11585, 1510, 37381, 349, 544, 6368, 271, 199, 13833, 1583, 6669, 419, 2293, 9640, 5522, 3716, 13501, 923, 2697, 31667, 2418, 2736, 946, 9276, 369, 3028, 199, 335, 2280, 4660, 36847, 977, 327, 672, 316, 2527, 10918, 2064, 2316, 326, 418, 1026, 356, 378, 1592, 22128, 3479, 516, 199, 2224, 1687, 895, 1796, 19545, 402, 2388, 6469, 8078, 808, 318, 12111, 386, 719, 519, 14012, 1500, 605, 458, 518, 257, 199, 1046, 337, 2568, 529, 22515, 2001, 48, 673, 818, 6187, 280, 1008, 427, 13977, 3636, 50, 1467, 6079, 1735, 15656, 199, 44, 646, 1026, 463, 1207, 758, 14395, 34128, 356, 10475, 715, 371, 11190, 496, 933, 350, 19252, 375, 13685, 2952, 348, 199, 571, 7575, 878, 2592, 2587, 364, 573, 41925, 17597, 991, 283, 35482, 1008, 361, 453, 474, 8490, 327, 2642, 447, 3615, 199, 4627, 474, 2482, 199, 0, 199, 1121, 427, 6105, 42999, 595, 887, 12494, 474, 316, 1014, 277, 1180, 1010, 6362, 573, 2339, 792, 444, 19300, 293, 863, 48, 199, 17723, 8890, 595, 8890, 381, 406, 14399, 1276, 43, 2271, 279, 837, 1571, 395, 544, 5338, 6097, 660, 2173, 289, 915, 638, 199, 1757, 1269, 486, 1189, 428, 4929, 452, 411, 362, 1749, 260, 620, 20875, 383, 2550, 14322, 552, 628, 14418, 36868, 844, 199, 2708, 1204, 411, 989, 7598, 740, 798, 276, 1949, 376, 2196, 1721, 577, 332, 30388, 1858, 520, 37535, 952, 322, 942, 287, 199, 3886, 273, 3291, 2147, 532, 5952, 14056, 330, 415, 774, 531, 395, 316, 4945, 351, 1059, 4832, 513, 9261, 9316, 411, 365, 199, 422, 377, 1063, 23046, 2150, 34422, 300, 3336, 506, 698, 13058, 7566, 794, 439, 7614, 301, 11042, 1073, 351, 1065, 1334, 199, 263, 1900, 3602, 420, 389, 527, 4251, 265, 459, 368, 1171, 16941, 277, 773, 1129, 566, 9356, 2072, 292, 652, 335, 1271 ]

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

[ 283, 199, 26408, 514, 3111, 1956, 1745, 481, 9279, 266, 638, 1202, 563, 6534, 526, 342, 7105, 510, 358, 986, 440, 3158, 1004, 2101, 50, 199, 11037, 10252, 371, 919, 3572, 1150, 758, 1645, 1113, 959, 10719, 510, 1128, 1718, 463, 2116, 350, 1900, 902, 401, 199, 10419, 924, 1387, 272, 1760, 1636, 11843, 1988, 337, 7277, 15523, 3702, 1193, 261, 1187, 1831, 342, 1798, 351, 9618, 199, 268, 1088, 9179, 334, 1180, 4369, 20155, 2029, 3475, 493, 2661, 1009, 3400, 299, 539, 324, 908, 16934, 587, 37744, 46, 199, 1544, 558, 12120, 282, 705, 435, 2506, 1486, 13450, 1412, 325, 778, 548, 8387, 2234, 49711, 4727, 548, 2492, 10243, 199, 2834, 273, 601, 1289, 380, 1245, 455, 606, 1162, 350, 384, 12449, 736, 570, 589, 28928, 10276, 969, 34465, 1613, 1422, 199, 1257, 890, 295, 709, 2414, 1520, 257, 745, 395, 1258, 1253, 13306, 327, 419, 1865, 36445, 1718, 463, 3311, 343, 1065, 394, 199, 703, 9130, 9698, 1351, 2448, 408, 995, 295, 618, 14392, 14109, 480, 944, 3549, 316, 13451, 697, 3837, 41909, 199, 35772, 422, 13007, 658, 1649, 366, 5586, 20970, 768, 330, 440, 1748, 51, 376, 3584, 533, 558, 9039, 1381, 262, 970, 38, 199, 713, 11345, 5343, 486, 558, 690, 2290, 315, 1203, 386, 660, 9026, 2319, 21886, 2145, 410, 1710, 535, 3051, 40053, 199, 17341, 403, 7964, 713, 2763, 335, 655, 552, 342, 388, 1067, 2119, 263, 1561, 1455, 14453, 16539, 4305, 2196, 1002, 314, 199, 527, 10391, 360, 365, 437, 1224, 49646, 740, 325, 2344, 371, 13859, 390, 848, 296, 13188, 7306, 1435, 28222, 1119, 199, 684, 326, 17322, 199, 0, 199, 382, 1092, 479, 2303, 37671, 3742, 565, 271, 585, 687, 5165, 449, 1009, 812, 31462, 8665, 4084, 346, 1324, 1184, 199, 17379, 1489, 10752, 15866, 40, 1184, 846, 44063, 999, 10800, 2028, 13325, 1763, 803, 2162, 410, 28616, 5734, 332, 199, 1104, 3005, 15458, 1152, 835, 4957, 25388, 5066, 570, 268, 1922, 279, 557, 26887, 373, 21901, 621, 276, 32158, 199, 727, 1661, 6255, 1084, 393, 40458, 1682, 278, 815, 281, 1614, 346, 2524, 24775, 1759, 385, 3015, 1198, 361, 4303, 199, 5342, 18371, 879, 6789, 20201, 365, 1251, 296, 3759, 21032, 7176, 5342, 516, 4651, 833, 557, 333, 879, 43, 199, 13684, 5856, 999, 11847, 449, 4358, 7879, 42745, 1341, 13459, 488, 12106, 725, 314, 1532, 38031, 932, 4594, 199, 476, 1106, 20780, 326, 1064, 342, 5825, 664, 371, 620, 471, 5399, 619, 362, 1139, 282, 878, 419, 876, 298, 849, 1099, 199, 30457, 446, 419, 5279, 540, 30427, 1659, 627, 434, 655, 318, 849, 1459, 415, 604, 1093, 297, 1188, 33721, 361, 5880, 491, 199, 26047, 1221, 16844, 2154, 31391, 1527, 1708, 1731, 2703, 547, 282, 1809, 334, 2309, 591, 281, 5624, 13654, 1117, 441, 1694, 199, 915, 630, 4193, 1963, 280, 1039, 18177, 6937, 796, 5925, 375, 318, 2206, 751, 1762, 708, 817, 38517, 547, 14570, 199, 39, 2177, 892, 1847, 966, 49083, 2668, 837, 357, 625, 276, 458, 2877, 811, 16799, 458, 790, 36946, 1838, 1302, 281, 199, 1459, 11872, 1015, 14849, 421, 14349, 39313, 3927, 1471, 3224, 364 ]

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

[ 3041, 15443, 38068, 1055, 370, 18392, 1761, 199, 427, 1112, 17260, 524, 2696, 670, 301, 778, 494, 375, 39333, 2136, 48, 729, 46071, 2813, 1437, 272, 3232, 587, 453, 20228, 199, 51, 2897, 37460, 425, 669, 3867, 28293, 27273, 705, 365, 1984, 606, 16450, 1267, 967, 2890, 520, 391, 681, 7861, 199, 563, 376, 1147, 758, 33041, 3130, 287, 2512, 30500, 972, 36562, 442, 34550, 467, 402, 6102, 455, 4522, 5818, 43, 199, 37, 9030, 346, 17739, 418, 8665, 314, 1419, 3651, 481, 1364, 2311, 43820, 2861, 427, 1631, 318, 9403, 451, 453, 1559, 54, 199, 1789, 331, 530, 448, 23254, 9042, 676, 15936, 540, 45814, 11764, 383, 5931, 11574, 404, 8483, 1187, 1844, 283, 199, 15928, 1557, 656, 349, 1474, 42932, 394, 1754, 279, 430, 886, 323, 3714, 448, 429, 2981, 830, 1224, 22674, 469, 12331, 199, 2179, 12355, 4113, 1708, 299, 409, 34679, 11815, 484, 548, 300, 720, 21329, 6180, 2162, 10553, 21988, 909, 43, 199, 1559, 1180, 21419, 199, 0, 199, 1513, 286, 597, 3702, 438, 7445, 39579, 10263, 416, 1421, 659, 313, 13205, 15860, 39472, 446, 1138, 508, 2641, 15491, 199, 22610, 301, 465, 435, 8473, 704, 442, 5867, 14672, 4016, 2580, 841, 11144, 385, 580, 318, 1412, 301, 570, 1441, 512, 199, 4634, 10802, 342, 415, 440, 920, 331, 419, 6016, 763, 496, 340, 906, 38602, 1755, 588, 2458, 346, 5918, 2008, 258, 1902, 199, 666, 1547, 3962, 1337, 370, 31351, 2065, 25093, 1752, 37277, 291, 7677, 438, 529, 627, 332, 596, 17667, 1204, 10314, 199, 888, 467, 4352, 822, 284, 388, 1610, 367, 1541, 13214, 957, 1388, 526, 331, 336, 2150, 333, 14191, 1150, 9440, 453, 425, 54, 199, 44, 719, 2820, 20530, 2098, 831, 935, 434, 2449, 16602, 1066, 12989, 27815, 511, 585, 329, 1553, 5596, 286, 1484, 288, 199, 34398, 286, 1916, 1581, 1507, 752, 1162, 367, 392, 3695, 3596, 464, 284, 16880, 42330, 489, 339, 10636, 2293, 300, 199, 2248, 13571, 29041, 3406, 1779, 2089, 3842, 3304, 300, 1043, 1339, 417, 387, 2751, 455, 6227, 392, 25871, 985, 394, 199, 44, 1314, 15962, 3763, 360, 2043, 550, 1229, 358, 1206, 330, 837, 356, 451, 407, 632, 364, 2165, 10049, 8659, 1292, 333, 199, 630, 324, 3364, 767, 48, 1096, 408, 8746, 431, 13272, 282, 1249, 603, 41877, 12741, 554, 340, 12622, 43782, 5157, 606, 199, 260, 424, 4394, 289, 4188, 485, 538, 16048, 521, 9561, 327, 31531, 610, 909, 4068, 369, 457, 7809, 531, 30299, 5851, 54, 199, 1717, 877, 779, 44820, 1135, 485, 2050, 284, 2609, 401, 19997, 2215, 1476, 370, 4771, 429, 6479, 2410, 801, 3953, 199, 1235, 277, 420, 5548, 7163, 578, 312, 1036, 1300, 10481, 370, 10418, 1116, 285, 732, 950, 283, 1618, 537, 23780, 1011, 199, 367, 415, 969, 295, 648, 4732, 518, 363, 1228, 631, 2845, 2580, 291, 3166, 358, 578, 288, 704, 3325, 762, 1193, 16985, 199, 34381, 401, 697, 464, 14507, 497, 2650, 798, 274, 6802, 3941, 601, 1313, 23863, 5497, 19473, 453, 270, 596, 29993, 199, 44, 1684, 315, 19823, 820, 2488, 655, 30152, 39207, 551, 3816, 24131, 573, 6631, 26662, 586, 4907, 486 ]

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

[ 1390, 5710, 40, 1942, 337, 509, 4604, 37146, 1148, 355, 4959, 645, 318, 640, 327, 1670, 568, 340, 500, 9862, 27702, 404, 14879, 199, 385, 419, 948, 814, 13666, 1111, 504, 30682, 1491, 317, 1425, 288, 2973, 7905, 346, 614, 683, 4425, 509, 786, 9237, 199, 1827, 286, 2824, 321, 4545, 341, 8187, 329, 1036, 323, 2101, 1957, 1489, 21185, 899, 3113, 1111, 284, 1769, 1317, 436, 199, 266, 946, 1701, 3918, 1842, 20914, 3457, 973, 1311, 1800, 440, 372, 7920, 378, 662, 1079, 392, 3268, 392, 636, 1951, 199, 39217, 1138, 773, 377, 6805, 5677, 423, 3452, 2816, 39898, 10016, 403, 28782, 2333, 543, 284, 1850, 36468, 1344, 50, 199, 415, 536, 5294, 14788, 6095, 945, 4052, 39101, 1437, 598, 16308, 631, 570, 4679, 977, 361, 406, 3239, 2677, 40, 199, 459, 2119, 293, 9518, 320, 1625, 315, 532, 36554, 471, 712, 836, 1093, 2781, 501, 3412, 4203, 2729, 1416, 896, 353, 199, 14506, 685, 380, 199, 0, 199, 294, 3254, 342, 437, 23789, 555, 6554, 1354, 284, 941, 265, 1341, 606, 407, 1795, 14309, 330, 3916, 267, 1073, 552, 27895, 199, 1508, 267, 677, 407, 4229, 4821, 2580, 360, 1011, 971, 320, 2635, 3124, 704, 275, 552, 259, 850, 900, 1034, 407, 3291, 199, 51, 704, 298, 2346, 2411, 321, 2233, 324, 2257, 364, 941, 367, 552, 2604, 725, 4235, 265, 1354, 13809, 5139, 552, 11287, 199, 44, 1024, 1034, 330, 3124, 941, 3774, 464, 1694, 23171, 4435, 367, 1041, 263, 1073, 2575, 1518, 6985, 1628, 404, 3291, 199, 39, 704, 275, 2346, 21847, 620, 13333, 926, 277, 941, 265, 552, 11287, 502, 2488, 16080, 948, 941, 298, 2346, 2283, 199, 12604, 1044, 451, 10395, 4997, 2580, 360, 23550, 25905, 2635, 3599, 704, 258, 552, 1635, 267, 900, 320, 5287, 2301, 199, 39, 704, 296, 552, 20300, 468, 5812, 15713, 845, 6261, 2700, 360, 997, 464, 7541, 18388, 776, 19150, 3252, 1271, 199, 44, 847, 7622, 2722, 4952, 1381, 2314, 4436, 259, 2096, 28086, 824, 1267, 291, 608, 6325, 2806, 17988, 5145, 371, 199, 291, 4111, 32858, 28582, 1210, 966, 282, 1026, 350, 596, 257, 688, 3309, 830, 42768, 1207, 337, 762, 890, 773, 271, 199, 5140, 1189, 1923, 33000, 364, 3268, 44774, 560, 360, 4602, 29821, 2218, 776, 271, 8148, 426, 297, 10544, 762, 199, 31839, 825, 1257, 498, 3975, 6744, 741, 299, 1333, 4554, 558, 570, 368, 3715, 20217, 655, 43094, 325, 551, 55, 199, 4390, 333, 3361, 2507, 2185, 651, 1059, 349, 15391, 1522, 622, 31859, 333, 27215, 580, 316, 3115, 2092, 734, 14688, 199, 264, 34822, 504, 745, 12729, 1275, 626, 21867, 510, 8048, 1866, 6531, 763, 18981, 608, 18589, 267, 3871, 341, 199, 418, 325, 388, 1501, 510, 830, 334, 13080, 6279, 3053, 578, 13435, 930, 544, 3753, 294, 996, 49897, 5829, 930, 199, 20415, 779, 2230, 294, 3509, 545, 257, 742, 333, 1965, 5960, 1315, 326, 2760, 405, 291, 8513, 795, 2145, 285, 564, 524, 199, 509, 19179, 3022, 2020, 2645, 5636, 2234, 1394, 1497, 4918, 2461, 548, 10841, 1731, 24740, 2308, 295, 2286, 199, 49212, 1096, 1307, 2715, 2228, 3452, 257, 468, 580 ]

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

[ 633, 35, 645, 5105, 5874, 18785, 2641, 442, 971, 438, 3682, 199, 354, 485, 977, 407, 568, 17170, 8911, 486, 4010, 614, 295, 1214, 17760, 42348, 852, 1043, 408, 742, 15682, 463, 257, 199, 262, 1436, 335, 548, 12634, 417, 645, 28479, 18776, 849, 1710, 259, 574, 340, 1428, 474, 16045, 5147, 277, 430, 581, 262, 199, 663, 400, 979, 50, 199, 0, 199, 1511, 290, 579, 1409, 4377, 367, 706, 296, 885, 778, 315, 6926, 2000, 294, 1357, 349, 312, 1179, 1180, 265, 1601, 17661, 533, 199, 2579, 36544, 287, 793, 2719, 8780, 26700, 1223, 24574, 2808, 7592, 3760, 386, 477, 12534, 355, 1593, 459, 3877, 199, 44, 616, 8645, 914, 7915, 2500, 373, 2657, 1264, 1993, 748, 529, 2008, 7812, 5858, 1268, 31872, 397, 1226, 5928, 35, 199, 293, 1069, 387, 6599, 871, 438, 13178, 1475, 951, 3067, 1400, 1182, 391, 40727, 396, 24865, 365, 909, 7475, 373, 199, 1135, 20189, 337, 10384, 582, 364, 608, 629, 7527, 453, 319, 599, 275, 1555, 340, 29220, 17124, 969, 2722, 564, 293, 30091, 199, 876, 1120, 453, 337, 569, 597, 844, 275, 2863, 1218, 271, 734, 260, 936, 1333, 1297, 5906, 263, 1213, 45622, 263, 3263, 199, 420, 1347, 34552, 932, 25955, 283, 14775, 341, 1135, 4852, 267, 667, 672, 259, 475, 6665, 314, 539, 28866, 617, 2250, 199, 816, 294, 663, 761, 5010, 10621, 344, 2291, 1652, 8160, 648, 287, 1237, 10251, 4653, 425, 1626, 910, 266, 2592, 379, 41, 199, 33977, 569, 23636, 1906, 6543, 12868, 1006, 381, 420, 878, 18028, 323, 26237, 40724, 534, 27004, 23772, 41948, 199, 19168, 29231, 566, 836, 37449, 682, 1124, 19851, 46058, 15928, 929, 371, 407, 3558, 709, 410, 875, 557, 3452, 199, 49054, 18133, 647, 419, 5703, 1792, 1030, 19737, 1800, 418, 557, 279, 1218, 48798, 1911, 283, 3030, 545, 1179, 347, 1706, 199, 25085, 768, 31333, 8195, 427, 545, 42937, 381, 579, 4006, 1104, 37741, 326, 921, 1211, 24572, 725, 336, 2352, 33, 199, 25087, 4139, 1617, 501, 652, 1466, 13597, 403, 7657, 1848, 7956, 269, 871, 41883, 5343, 25317, 6215, 7433, 199, 257, 970, 312, 566, 371, 934, 16305, 1446, 1446, 443, 800, 383, 1360, 368, 13442, 3091, 13625, 408, 1191, 932, 582, 199, 2371, 44871, 538, 489, 896, 400, 1690, 619, 291, 717, 1142, 6662, 434, 932, 385, 35199, 976, 341, 6840, 20046, 199, 16477, 872, 858, 40360, 36752, 1387, 22030, 3029, 1583, 14769, 894, 259, 1283, 312, 1459, 7026, 266, 896, 199, 459, 9096, 26453, 1244, 952, 266, 932, 380, 372, 16612, 1111, 280, 539, 288, 862, 1230, 7261, 748, 48764, 387, 2128, 43, 199, 1390, 939, 294, 13756, 1484, 16840, 701, 353, 644, 5882, 447, 705, 985, 14325, 1167, 265, 1583, 331, 10975, 23109, 199, 5407, 294, 898, 4045, 1048, 295, 1421, 38210, 1979, 336, 966, 24634, 859, 269, 708, 407, 2089, 21506, 3672, 5067, 199, 28656, 333, 2998, 199, 0, 199, 662, 1986, 562, 869, 578, 7183, 19582, 38317, 668, 398, 7842, 9572, 16541, 2792, 1175, 417, 7443, 541, 10554, 199, 29371, 260, 1467, 1509, 1869, 1066, 6983, 10542, 1816, 18254, 1821, 887, 15312, 3467, 27846, 639 ]

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

[ 642, 262, 199, 45020, 910, 1111, 578, 600, 614, 377, 38317, 668, 1837, 1043, 9572, 26701, 2792, 1175, 417, 7443, 541, 2014, 199, 46586, 560, 26155, 333, 1869, 1066, 6983, 287, 504, 400, 18254, 1821, 37288, 18122, 467, 49422, 554, 960, 43947, 199, 657, 461, 950, 596, 34993, 11687, 446, 1639, 295, 6768, 537, 599, 573, 292, 929, 1870, 5586, 1168, 570, 10229, 282, 199, 37, 2259, 6310, 2408, 35308, 15172, 2440, 1068, 651, 326, 36180, 969, 13985, 725, 390, 356, 365, 798, 4686, 263, 199, 1729, 48053, 16877, 427, 752, 807, 624, 7177, 412, 562, 675, 262, 3976, 555, 13541, 326, 28959, 1672, 279, 1354, 199, 24294, 321, 497, 3217, 318, 465, 4849, 469, 604, 7432, 584, 463, 268, 2607, 319, 500, 2002, 34638, 1092, 322, 2435, 1842, 199, 655, 344, 4653, 404, 7821, 3275, 1642, 26038, 2338, 46, 988, 389, 42840, 2764, 416, 685, 457, 3190, 552, 267, 1206, 358, 199, 336, 663, 324, 1533, 567, 31263, 3628, 394, 407, 2239, 2480, 956, 36, 2068, 299, 8353, 286, 564, 1241, 386, 676, 283, 432, 199, 532, 16071, 1716, 1708, 260, 1096, 496, 17273, 257, 1254, 361, 396, 484, 1158, 263, 969, 474, 14440, 612, 8003, 410, 49968, 199, 26728, 616, 24732, 5914, 29026, 1043, 359, 22631, 490, 324, 5485, 404, 504, 2320, 7344, 1602, 1561, 804, 347, 913, 199, 45009, 7358, 357, 2007, 278, 45473, 639, 331, 637, 295, 1612, 352, 413, 2979, 1944, 321, 2226, 278, 673, 3212, 356, 287, 199, 767, 466, 1954, 885, 13228, 338, 10717, 3237, 1806, 4856, 345, 12967, 7673, 455, 566, 509, 24795, 945, 377, 543, 199, 39, 2515, 544, 5671, 18283, 2256, 13835, 10719, 2028, 33780, 766, 341, 2030, 463, 15108, 44235, 823, 15863, 33118, 199, 1024, 1043, 15063, 39897, 6189, 23011, 284, 4916, 320, 634, 357, 17246, 261, 2744, 15816, 914, 3321, 348, 1564, 199, 444, 706, 5571, 957, 520, 48765, 723, 388, 709, 20526, 1499, 605, 35, 760, 27995, 429, 3037, 259, 38331, 592, 258, 798, 199, 14156, 293, 6024, 616, 1416, 9180, 318, 11514, 38, 690, 2783, 498, 1432, 21855, 20604, 497, 875, 730, 296, 704, 199, 279, 2648, 271, 29347, 1159, 45401, 3267, 329, 39636, 1842, 279, 6655, 666, 2711, 1019, 581, 396, 1029, 1031, 9384, 199, 9481, 809, 434, 199, 0, 199, 49116, 1038, 961, 415, 7868, 393, 1691, 13105, 904, 1332, 8015, 23486, 521, 755, 419, 4509, 400, 1979, 299, 5378, 199, 1145, 376, 43010, 1710, 281, 1184, 271, 762, 908, 42752, 2431, 1647, 3509, 3815, 416, 6512, 8307, 813, 940, 199, 1245, 361, 4649, 3217, 719, 13598, 1929, 4014, 7651, 481, 279, 3447, 6545, 483, 4625, 474, 263, 802, 9516, 33, 199, 271, 3668, 320, 1085, 49025, 1595, 2150, 315, 1285, 1256, 702, 393, 4118, 259, 2549, 318, 2196, 22082, 437, 362, 633, 199, 351, 5030, 1026, 704, 22413, 9626, 397, 584, 667, 267, 1632, 325, 440, 18618, 7010, 331, 2851, 890, 1864, 377, 566, 199, 16435, 833, 829, 923, 553, 19722, 9269, 656, 361, 8123, 3774, 392, 7122, 688, 3502, 402, 1735, 644, 1901, 335, 590, 199, 257, 2060, 34653, 629, 38956, 16088, 888, 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 ]

[ 12771, 1280, 314, 4234, 262, 1297, 17197, 412, 25432, 598, 17172, 199, 1408, 7309, 390, 443, 3894, 50, 1307, 2460, 1373, 353, 817, 262, 534, 714, 341, 733, 765, 281, 1071, 647, 289, 6017, 199, 44, 1399, 2814, 378, 676, 11015, 585, 433, 6394, 27229, 360, 4187, 985, 1598, 474, 980, 468, 817, 7822, 803, 258, 199, 1347, 925, 31891, 440, 4013, 5726, 480, 746, 364, 392, 4899, 1215, 3992, 422, 430, 1377, 21139, 5957, 642, 735, 33, 199, 956, 18943, 566, 30068, 1845, 319, 1927, 275, 2258, 674, 785, 23255, 702, 373, 527, 2418, 3906, 1456, 345, 8715, 199, 293, 1983, 259, 830, 802, 46619, 1973, 300, 498, 353, 812, 4125, 2024, 1615, 287, 2826, 2565, 14584, 563, 503, 12745, 199, 27517, 524, 30854, 562, 22280, 265, 388, 45, 1621, 335, 3246, 259, 1592, 641, 394, 849, 9516, 721, 414, 1039, 22625, 328, 778, 199, 37, 413, 2040, 377, 474, 361, 608, 744, 9888, 334, 455, 17544, 317, 498, 10328, 1279, 266, 46233, 1982, 379, 374, 1145, 19758, 199, 390, 1530, 1014, 378, 1573, 16437, 2613, 430, 579, 890, 408, 870, 4841, 27970, 322, 3857, 494, 15620, 1617, 36, 502, 199, 378, 6292, 2015, 692, 314, 7877, 713, 319, 537, 269, 505, 1794, 2365, 1859, 9939, 772, 447, 4182, 819, 12958, 199, 417, 42207, 4413, 11972, 2758, 2741, 283, 2366, 465, 3043, 16164, 524, 616, 2796, 6244, 492, 600, 3319, 272, 199, 550, 423, 3101, 693, 9074, 5834, 2341, 1478, 353, 2596, 2083, 9698, 2403, 30809, 685, 297, 526, 9859, 6583, 199, 889, 30769, 41, 1635, 1111, 273, 23531, 1282, 5132, 1792, 13408, 789, 350, 3146, 36773, 1498, 2763, 1332, 341, 199, 40860, 382, 1163, 199, 0, 199, 1591, 409, 3746, 497, 4395, 882, 313, 1127, 28935, 737, 15307, 413, 13124, 1053, 1655, 35068, 451, 18177, 1187, 581, 199, 380, 908, 5250, 22494, 458, 1251, 1072, 28850, 1188, 1980, 675, 1655, 5714, 9801, 18681, 334, 391, 1153, 29285, 199, 25236, 275, 2168, 463, 458, 44026, 2932, 520, 9363, 1586, 38721, 14821, 455, 1401, 529, 19541, 452, 16840, 1200, 275, 497, 199, 36, 7204, 492, 1280, 582, 331, 1837, 10194, 331, 1509, 327, 2021, 1654, 1118, 292, 7682, 1141, 292, 7642, 595, 317, 2616, 199, 8538, 1914, 354, 756, 5175, 1597, 2806, 660, 273, 2688, 409, 504, 343, 775, 1509, 350, 682, 541, 1645, 597, 846, 3219, 199, 516, 820, 40594, 633, 351, 892, 13012, 540, 278, 4612, 828, 10392, 972, 1743, 260, 1500, 3458, 355, 13245, 587, 199, 405, 1042, 1132, 7468, 335, 5814, 12746, 658, 28631, 361, 510, 3282, 5952, 24345, 473, 1077, 393, 759, 380, 9121, 199, 301, 27258, 47898, 1061, 3796, 517, 494, 14105, 20062, 382, 1801, 38543, 318, 678, 5689, 36331, 2155, 48, 715, 268, 199, 8711, 415, 453, 641, 1077, 322, 2307, 793, 276, 3066, 510, 50, 1621, 1897, 23023, 418, 3573, 1181, 610, 276, 3475, 12583, 54, 199, 3541, 541, 607, 1676, 1271, 4779, 1713, 2854, 275, 973, 403, 10575, 342, 15604, 646, 5931, 350, 2260, 548, 5240, 199, 30241, 3541, 1075, 3513, 830, 393, 432, 1424, 783, 34534, 523, 352, 690, 372, 5106, 369 ]

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

[ 2693, 1988, 334, 536, 285, 199, 301, 8681, 46635, 269, 534, 693, 346, 10315, 1473, 370, 2011, 8480, 416, 377, 2496, 273, 1618, 471, 33040, 13433, 12424, 199, 405, 441, 793, 379, 550, 312, 2740, 492, 360, 318, 500, 12333, 695, 375, 1000, 1829, 45, 1995, 337, 1164, 1045, 390, 2573, 1062, 199, 321, 1809, 10113, 1009, 755, 550, 426, 382, 5364, 367, 14435, 5248, 14382, 3937, 258, 30226, 497, 2002, 409, 24997, 199, 265, 2058, 1039, 316, 6826, 1108, 1113, 412, 4498, 6644, 507, 354, 2914, 277, 15055, 38793, 467, 690, 675, 543, 46, 199, 839, 29685, 19435, 341, 5112, 2139, 3837, 1390, 11202, 13594, 551, 1333, 5766, 1455, 3061, 360, 3269, 400, 329, 199, 976, 530, 329, 44244, 1710, 26229, 292, 882, 551, 1049, 8489, 282, 2103, 404, 335, 903, 261, 1727, 4741, 621, 369, 199, 301, 2665, 479, 10543, 332, 14599, 1793, 331, 29911, 4925, 464, 328, 760, 268, 1951, 344, 35767, 1655, 1211, 260, 2183, 199, 46770, 533, 4749, 405, 335, 1303, 3049, 280, 21804, 392, 285, 2244, 651, 1468, 389, 1719, 293, 642, 485, 464, 360, 11005, 199, 35996, 8938, 33, 199, 0, 199, 41360, 25631, 288, 786, 378, 719, 28320, 11376, 1833, 340, 11664, 455, 36448, 3266, 277, 12726, 335, 3502, 298, 458, 199, 494, 578, 522, 433, 22092, 332, 806, 291, 2057, 372, 6320, 11343, 275, 1785, 3308, 2763, 1032, 3520, 1350, 783, 199, 38515, 1319, 356, 1402, 377, 443, 966, 11327, 759, 494, 8415, 2238, 1997, 484, 15652, 714, 36986, 1813, 279, 670, 578, 199, 784, 335, 1920, 2112, 2615, 1922, 8934, 301, 1591, 1400, 1413, 359, 2238, 341, 479, 359, 2498, 1387, 496, 41603, 1622, 378, 199, 15863, 2719, 1812, 7343, 3501, 514, 1055, 377, 1491, 277, 477, 2906, 49298, 401, 5712, 610, 384, 10152, 368, 11027, 316, 199, 36, 21694, 1148, 34408, 371, 15769, 268, 524, 17499, 31399, 16090, 351, 33475, 9019, 4278, 8621, 335, 610, 400, 2594, 199, 30540, 1141, 18447, 670, 400, 34954, 715, 343, 5578, 410, 826, 24555, 10836, 527, 516, 1055, 7764, 374, 984, 5394, 199, 47477, 1822, 351, 451, 1172, 1263, 914, 352, 1639, 570, 276, 3414, 781, 4891, 479, 383, 731, 272, 801, 7252, 11350, 199, 406, 1642, 28541, 42757, 1017, 13592, 1314, 503, 4386, 6371, 22585, 17009, 404, 896, 456, 356, 43831, 830, 286, 199, 356, 3257, 405, 1178, 21741, 514, 2288, 11614, 884, 262, 882, 4040, 350, 1220, 898, 758, 13193, 26862, 779, 464, 33, 199, 4290, 341, 2058, 457, 596, 400, 19594, 279, 1651, 657, 382, 28673, 1497, 286, 1158, 452, 1908, 18589, 1012, 43866, 458, 199, 23585, 10586, 2713, 329, 1625, 650, 16995, 1852, 6079, 19003, 42601, 1372, 22495, 5293, 1307, 418, 733, 453, 4202, 199, 340, 1887, 337, 1773, 7929, 387, 1046, 16858, 739, 390, 599, 14909, 439, 9382, 385, 841, 338, 35756, 5253, 508, 13927, 199, 51, 917, 451, 13396, 50, 1096, 5873, 494, 11288, 2993, 396, 694, 279, 499, 42108, 10127, 1581, 937, 455, 5539, 1958, 199, 48, 1073, 541, 1017, 10593, 400, 695, 524, 9535, 440, 331, 1593, 20825, 291, 1301, 13795, 269, 3772, 346, 2246, 6994, 2250 ]

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

[ 199, 51, 1022, 8873, 6700, 512, 3477, 18971, 5337, 372, 530, 57, 1388, 291, 858, 19079, 995, 18544, 509, 324, 12501, 9282, 199, 5569, 391, 407, 3202, 353, 15434, 30775, 1362, 15268, 690, 341, 14691, 1119, 385, 471, 23386, 396, 657, 3103, 547, 30374, 199, 886, 23173, 11667, 324, 1100, 14223, 367, 674, 8495, 10023, 1090, 9067, 4260, 23125, 404, 1150, 459, 382, 199, 18265, 11175, 400, 338, 389, 293, 1801, 3143, 1420, 8634, 7396, 7993, 1652, 655, 509, 2295, 23083, 488, 3326, 405, 199, 21303, 1013, 1178, 199, 0, 199, 1147, 297, 1549, 264, 1279, 892, 343, 1423, 1086, 1693, 272, 8511, 1285, 273, 1167, 11586, 549, 22380, 36082, 410, 443, 586, 199, 1921, 298, 13643, 495, 662, 343, 2077, 1260, 37422, 443, 3091, 8582, 19891, 27505, 1500, 22310, 487, 7609, 1006, 199, 346, 2387, 1669, 2007, 281, 47025, 2098, 3486, 327, 442, 37623, 25661, 654, 8105, 549, 320, 1439, 336, 5267, 314, 27899, 199, 2464, 400, 33641, 2124, 654, 28301, 546, 348, 1652, 599, 49035, 2037, 283, 856, 21625, 467, 14785, 5543, 827, 1704, 199, 12257, 263, 1144, 11944, 3884, 6650, 584, 33523, 49155, 4494, 2352, 601, 31597, 683, 325, 709, 474, 340, 13093, 199, 12273, 689, 279, 546, 7586, 551, 1749, 900, 457, 547, 5775, 1939, 1577, 379, 287, 931, 300, 1002, 261, 2323, 403, 3196, 199, 330, 1094, 1019, 332, 2110, 681, 1236, 9683, 1911, 40, 620, 291, 2130, 1526, 7893, 969, 433, 993, 1144, 6114, 24106, 199, 6293, 1805, 26209, 339, 9161, 20440, 6031, 9032, 1211, 341, 1959, 515, 6045, 664, 348, 1118, 387, 2171, 287, 4593, 199, 1233, 31242, 9951, 902, 4387, 270, 2034, 2064, 677, 342, 1760, 49, 1479, 381, 1936, 2341, 13174, 7725, 438, 32233, 199, 433, 533, 280, 4752, 20548, 391, 1794, 9368, 38801, 951, 13952, 406, 390, 2714, 361, 838, 11972, 1004, 37651, 880, 273, 199, 474, 498, 29312, 1370, 1180, 719, 403, 9695, 1097, 968, 595, 396, 21029, 41428, 1055, 4881, 2002, 295, 5165, 398, 199, 492, 353, 1300, 322, 55, 2546, 27141, 1665, 31857, 670, 11131, 9833, 301, 680, 289, 3373, 8386, 10859, 42666, 712, 199, 4014, 1512, 4223, 2425, 260, 677, 443, 8376, 20340, 1503, 257, 609, 529, 31450, 1778, 327, 1300, 1081, 334, 476, 18047, 199, 11940, 392, 454, 1503, 398, 918, 2901, 622, 535, 15529, 24098, 5361, 18326, 406, 359, 445, 33545, 971, 22042, 1946, 199, 2405, 10710, 1026, 709, 316, 5498, 684, 1976, 539, 11857, 875, 327, 11392, 331, 9532, 345, 1226, 270, 2260, 1343, 529, 199, 314, 1250, 1829, 502, 23066, 933, 22396, 781, 4308, 34878, 1638, 588, 463, 44778, 1034, 16276, 398, 1503, 16400, 794, 199, 470, 585, 43170, 602, 335, 1801, 1125, 36, 517, 649, 17898, 755, 10834, 2029, 5115, 1199, 29921, 5151, 3483, 34972, 199, 1864, 272, 13436, 1365, 561, 3487, 324, 1417, 318, 12547, 1560, 1787, 13461, 427, 7786, 23408, 385, 585, 385, 910, 413, 199, 1864, 331, 1781, 19964, 1476, 915, 2369, 957, 637, 35485, 13981, 1710, 2143, 22048, 1685, 37343, 341, 3199, 1191, 199, 51, 11924, 46022, 199, 0, 199, 339, 796, 2852, 796, 279, 796, 287, 2543, 3128 ]

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

[ 648, 26808, 2888, 431, 26940, 4463, 23498, 418, 496, 319, 854, 5677, 199, 11044, 1659, 1847, 1722, 318, 299, 2160, 373, 12001, 341, 1300, 2780, 277, 453, 24115, 50022, 18042, 648, 705, 10489, 315, 199, 1228, 575, 1031, 12281, 549, 2030, 670, 4058, 643, 4247, 393, 2016, 295, 648, 345, 2424, 4416, 44445, 7713, 13211, 549, 258, 199, 4623, 520, 342, 828, 4365, 321, 409, 2394, 1907, 575, 677, 317, 1132, 437, 407, 546, 415, 421, 3912, 608, 11014, 773, 33279, 3066, 199, 2394, 350, 756, 14475, 33365, 568, 2888, 415, 1675, 450, 617, 12232, 2695, 2350, 608, 466, 2044, 2931, 1915, 600, 395, 5660, 199, 2570, 594, 712, 3189, 7817, 648, 1207, 272, 2902, 1425, 44334, 786, 357, 437, 1188, 650, 609, 650, 277, 17376, 15945, 511, 52, 199, 37542, 1585, 317, 1657, 334, 2832, 1007, 2607, 6681, 541, 447, 4742, 524, 29886, 395, 22872, 628, 272, 585, 1384, 284, 8470, 199, 501, 13461, 3673, 4420, 648, 875, 298, 585, 269, 10398, 7130, 1386, 15239, 765, 10730, 376, 4476, 465, 10594, 9521, 199, 14816, 376, 666, 369, 13082, 22838, 281, 898, 1069, 297, 3190, 40279, 759, 399, 490, 9815, 636, 20440, 399, 804, 18623, 199, 1495, 1044, 22530, 351, 429, 3340, 3347, 279, 449, 667, 279, 870, 33705, 1369, 19578, 721, 1829, 12717, 6552, 458, 199, 458, 15304, 3784, 674, 39425, 1315, 410, 1209, 50, 940, 294, 1444, 43393, 454, 551, 404, 1535, 418, 964, 21309, 1589, 57, 199, 3154, 703, 11169, 31206, 1555, 4338, 289, 4383, 909, 2058, 6161, 674, 13352, 1518, 15372, 2229, 628, 341, 2128, 386, 35, 199, 34567, 2725, 1059, 2925, 452, 7227, 49053, 35, 3540, 299, 896, 663, 351, 30799, 300, 1004, 1000, 500, 8702, 399, 9554, 199, 22660, 3072, 41801, 1479, 371, 1365, 290, 6122, 679, 541, 392, 578, 411, 1701, 2474, 1052, 38132, 1231, 1886, 325, 11068, 199, 458, 391, 4711, 29601, 6015, 970, 518, 300, 1844, 31964, 274, 1208, 531, 7182, 5873, 807, 632, 780, 1979, 6766, 199, 392, 834, 319, 2446, 1174, 15345, 5467, 595, 35, 1224, 8389, 648, 7536, 24203, 1449, 3738, 450, 858, 269, 1474, 335, 2443, 199, 411, 415, 419, 1236, 433, 23488, 3243, 410, 343, 742, 1086, 461, 2495, 2913, 2786, 372, 1043, 13832, 855, 26900, 5856, 50, 199, 862, 478, 199, 0, 199, 1271, 268, 2200, 525, 1717, 313, 443, 418, 3612, 459, 1669, 35143, 1055, 592, 27290, 325, 4209, 28726, 367, 1317, 409, 199, 14578, 969, 2932, 7792, 550, 353, 959, 36, 1150, 7210, 46675, 413, 18871, 550, 276, 7009, 314, 6633, 4793, 199, 51, 1193, 325, 514, 10240, 30821, 314, 9161, 14979, 762, 3985, 1017, 18598, 557, 7083, 1278, 27468, 10630, 619, 199, 578, 13859, 1184, 17275, 6658, 28849, 923, 1656, 3946, 275, 959, 36, 1150, 6220, 833, 15300, 3005, 22197, 199, 374, 2790, 3456, 417, 875, 18598, 557, 18716, 1278, 350, 717, 3380, 258, 959, 13859, 1184, 17275, 6658, 350, 199, 3005, 28849, 923, 14979, 959, 13859, 1184, 17275, 6658, 28849, 2632, 43561, 14979, 959, 3985, 414, 199, 13781, 833, 15300, 16474, 316, 833, 276, 373, 327, 2139, 1017, 1193, 5355, 9399, 1283, 9672 ]

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

[ 374, 3984, 3456, 199, 31805, 1017, 346, 2162, 833, 21939, 1152, 1789, 3946, 281, 578, 13859, 1184, 17275, 6658, 28849, 923, 1789, 199, 3946, 275, 959, 36, 1150, 6220, 833, 15300, 3005, 28849, 833, 276, 3456, 417, 875, 18598, 557, 350, 1789, 33, 199, 301, 514, 923, 14979, 959, 13859, 1184, 17275, 6658, 350, 3005, 28849, 833, 14979, 959, 13859, 1184, 276, 199, 374, 6658, 28849, 2632, 43561, 14979, 578, 346, 1150, 30930, 557, 325, 1789, 28849, 923, 276, 3456, 45665, 199, 51, 1184, 17275, 6658, 28849, 902, 48, 1789, 9382, 28296, 13859, 1184, 17275, 6658, 28849, 752, 833, 34652, 199, 1115, 258, 959, 36, 875, 18598, 557, 28849, 1278, 350, 717, 3380, 258, 959, 13859, 1184, 17275, 6658, 28849, 199, 7009, 1789, 9382, 28296, 346, 875, 18598, 557, 350, 1789, 28849, 1074, 803, 537, 6826, 265, 1184, 276, 1115, 199, 833, 291, 514, 1152, 374, 3654, 1150, 12606, 999, 418, 1398, 47874, 337, 1578, 619, 1050, 275, 849, 14609, 1718, 2183, 199, 11069, 841, 21403, 1466, 22763, 937, 507, 18410, 382, 1276, 658, 396, 2155, 474, 335, 2601, 4422, 378, 1237, 556, 434, 199, 290, 1064, 2758, 357, 2162, 438, 7933, 6196, 371, 1127, 36841, 6338, 199, 0, 199, 2091, 1220, 47676, 829, 334, 3822, 3577, 1230, 464, 346, 4131, 874, 12720, 1031, 5185, 808, 2096, 6415, 617, 318, 199, 22361, 2257, 22497, 2269, 19950, 437, 996, 409, 486, 1136, 745, 1681, 19835, 3038, 29817, 535, 384, 2061, 457, 2886, 199, 14380, 490, 2091, 2308, 23659, 570, 477, 55, 1494, 4799, 420, 400, 15586, 768, 552, 2962, 295, 1488, 278, 1145, 2464, 199, 947, 45792, 290, 27817, 1601, 38736, 12240, 16378, 2367, 949, 257, 1191, 1884, 294, 36033, 420, 46, 1588, 344, 1547, 199, 1252, 2314, 5912, 498, 266, 1375, 443, 9339, 3283, 4160, 679, 8297, 6977, 370, 702, 40402, 2052, 5352, 1012, 199, 910, 837, 11438, 967, 1225, 18617, 7055, 799, 340, 1686, 541, 440, 1430, 4129, 393, 589, 24959, 12619, 944, 199, 5381, 8748, 998, 325, 1019, 29445, 5874, 312, 391, 48263, 5754, 422, 1454, 7761, 1250, 3199, 738, 1046, 3443, 199, 2441, 35, 1032, 14821, 12126, 3009, 1065, 884, 6486, 588, 266, 2670, 522, 1707, 603, 35429, 4284, 1191, 5889, 199, 327, 636, 35830, 642, 271, 2093, 343, 11340, 1103, 994, 393, 48527, 955, 359, 2044, 662, 374, 9370, 378, 1011, 35424, 52, 199, 15888, 443, 13264, 20392, 760, 1686, 541, 440, 1430, 4129, 393, 589, 24959, 12619, 944, 5381, 8748, 998, 199, 325, 1019, 29445, 5874, 312, 391, 48263, 5754, 422, 1454, 272, 486, 452, 354, 1079, 342, 44361, 797, 341, 332, 973, 685, 55, 199, 44, 1294, 942, 25279, 8584, 498, 345, 1909, 16991, 299, 8689, 3342, 26570, 13002, 530, 31297, 533, 457, 911, 944, 199, 3403, 314, 499, 3215, 604, 44669, 269, 6894, 1121, 358, 1405, 24675, 4788, 922, 20501, 1345, 1758, 5954, 287, 718, 38, 199, 2010, 40770, 338, 2601, 3633, 354, 633, 318, 1053, 2180, 2777, 36544, 1063, 16982, 3240, 494, 578, 35106, 1470, 199, 364, 1593, 14516, 31081, 3895, 3825, 329, 10198, 289, 1620, 399, 771, 296, 477, 586, 382, 5148, 443 ]

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

[ 4942, 9713, 257, 199, 1582, 275, 482, 724, 506, 2525, 492, 23640, 603, 583, 21401, 1924, 2043, 31640, 698, 13161, 10795, 294, 546, 5979, 199, 750, 2198, 263, 2667, 33235, 21288, 1739, 13779, 381, 706, 502, 6043, 6538, 278, 1076, 320, 43092, 388, 1646, 371, 500, 199, 3662, 521, 7810, 416, 1488, 364, 15996, 1115, 278, 1330, 42381, 734, 931, 1128, 863, 435, 41989, 1568, 647, 1195, 199, 1133, 10024, 1049, 448, 399, 572, 262, 576, 784, 506, 9334, 258, 1917, 397, 862, 426, 944, 16430, 5197, 10668, 542, 41, 199, 0, 199, 5120, 956, 341, 23643, 1154, 15758, 1824, 586, 346, 911, 43162, 780, 47907, 16243, 8509, 1775, 278, 1289, 376, 199, 604, 1140, 12779, 423, 1016, 1193, 314, 4411, 1396, 399, 1227, 278, 1890, 13836, 1355, 3996, 314, 2810, 40446, 404, 564, 199, 324, 2591, 422, 1469, 17550, 780, 1118, 1332, 23671, 466, 341, 10538, 16996, 4522, 5321, 321, 7552, 537, 10291, 424, 199, 40, 986, 336, 1064, 764, 883, 294, 610, 5004, 431, 3607, 2421, 1905, 2518, 2380, 1615, 30661, 292, 1530, 266, 19069, 49, 199, 12266, 1497, 6355, 19927, 269, 11771, 1914, 323, 2395, 1784, 937, 748, 383, 541, 276, 2904, 6076, 6290, 11767, 3983, 199, 51, 1031, 318, 958, 37905, 2548, 452, 29701, 1022, 13622, 1295, 544, 1611, 13927, 633, 483, 5149, 1009, 673, 491, 400, 575, 199, 8132, 882, 334, 476, 5336, 1811, 272, 7913, 520, 383, 1084, 948, 22624, 2635, 818, 331, 1179, 1256, 49214, 477, 6507, 199, 15468, 5684, 963, 29568, 7249, 536, 1999, 12556, 3178, 463, 2745, 296, 8048, 1171, 472, 666, 269, 5874, 19030, 199, 31802, 6055, 404, 4005, 706, 342, 649, 300, 537, 448, 49976, 4698, 6497, 345, 800, 394, 3992, 2061, 298, 1314, 432, 199, 765, 293, 2040, 1492, 447, 7261, 1053, 1815, 513, 11574, 2042, 2891, 466, 433, 443, 831, 5725, 315, 1267, 383, 1825, 1128, 199, 576, 406, 4953, 975, 321, 997, 871, 17639, 5014, 556, 686, 41761, 1538, 3686, 433, 9951, 10322, 1751, 422, 1539, 52, 199, 39877, 1982, 1746, 1328, 20903, 278, 2434, 970, 6060, 20458, 490, 34220, 1440, 446, 1513, 326, 701, 4402, 357, 199, 727, 4017, 5004, 30307, 1749, 292, 595, 1421, 403, 5921, 15420, 312, 975, 257, 1265, 698, 48, 475, 593, 2314, 6108, 199, 417, 8394, 372, 2017, 25774, 1178, 10808, 1053, 2583, 257, 951, 387, 491, 4775, 2133, 10402, 1470, 5756, 404, 897, 371, 199, 980, 390, 4088, 855, 19136, 769, 1136, 1666, 494, 4573, 364, 26695, 1256, 353, 436, 584, 10793, 704, 9339, 2334, 199, 442, 780, 5773, 3495, 823, 14713, 1521, 6313, 335, 412, 625, 3999, 19890, 482, 7796, 993, 1309, 7913, 687, 20784, 199, 27981, 684, 12682, 281, 570, 10065, 661, 2998, 1142, 34240, 676, 388, 20531, 712, 276, 5979, 300, 1268, 17128, 525, 199, 334, 12382, 1797, 260, 2024, 265, 14826, 26085, 4084, 49988, 827, 27872, 2841, 332, 2465, 27097, 842, 1019, 413, 199, 345, 10603, 7589, 12851, 8001, 1358, 376, 503, 386, 1697, 358, 781, 516, 6387, 40326, 1203, 413, 3369, 920, 7841, 199, 19464, 459, 2847, 199, 0, 199, 445, 8007, 398, 1085, 25871, 782 ]

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

[ 501, 622, 1493, 1557, 410, 1577, 908, 569, 415, 515, 15626, 2625, 664, 9555, 1501, 199, 17341, 4674, 318, 11223, 634, 566, 356, 5284, 1791, 318, 584, 1524, 5287, 3124, 1220, 2459, 14851, 755, 554, 199, 281, 3703, 923, 277, 762, 9058, 1012, 415, 483, 296, 7010, 26447, 429, 1241, 664, 516, 10679, 2764, 17574, 550, 199, 809, 35930, 586, 366, 27846, 551, 354, 8943, 4954, 1941, 638, 419, 25856, 29630, 2098, 261, 708, 4231, 2795, 48, 199, 377, 7556, 353, 546, 522, 10755, 5276, 5275, 752, 288, 765, 417, 37197, 3500, 27614, 22591, 2524, 430, 261, 199, 371, 3110, 12668, 1012, 377, 18245, 292, 2956, 934, 426, 1465, 11393, 1436, 1481, 426, 10529, 523, 732, 7150, 8161, 199, 621, 7038, 382, 14097, 846, 551, 313, 1384, 13639, 1734, 882, 22237, 41752, 325, 1252, 966, 1655, 374, 570, 282, 199, 14492, 7979, 356, 2169, 339, 2369, 291, 1809, 969, 21444, 537, 361, 1498, 42463, 371, 7463, 467, 2912, 369, 1113, 33, 199, 1619, 6057, 1607, 32079, 14253, 1166, 616, 704, 277, 2933, 2865, 316, 32023, 1008, 2088, 268, 1037, 30434, 370, 27565, 199, 51, 966, 265, 2754, 7150, 1150, 7849, 10486, 1381, 3134, 295, 966, 579, 483, 6469, 833, 2692, 410, 578, 33, 199, 9494, 274, 1021, 1475, 9745, 3090, 708, 410, 9700, 2887, 2887, 350, 4644, 683, 343, 2973, 421, 329, 11863, 33, 199, 584, 682, 10321, 2233, 1041, 15672, 370, 1201, 41646, 8001, 584, 462, 9743, 3783, 433, 860, 6600, 1192, 199, 11851, 6293, 3432, 482, 25841, 1104, 325, 607, 33344, 297, 917, 4990, 3090, 16441, 23729, 36781, 893, 199, 14311, 26305, 3775, 703, 2025, 26674, 549, 282, 1963, 4488, 551, 1624, 12412, 407, 608, 1535, 5452, 20568, 418, 17628, 199, 7995, 282, 2003, 2599, 362, 429, 3140, 354, 629, 26747, 2122, 408, 4672, 2399, 522, 1738, 8334, 27172, 5666, 29992, 199, 542, 455, 446, 289, 774, 396, 55, 794, 369, 2169, 9622, 517, 378, 16606, 4270, 6435, 436, 652, 2228, 3036, 2151, 413, 1406, 199, 493, 422, 588, 710, 3082, 294, 1081, 488, 24924, 6632, 384, 594, 5814, 25910, 26693, 411, 1390, 283, 1441, 403, 13382, 322, 199, 39379, 339, 650, 29583, 2377, 23695, 3773, 10682, 982, 9324, 1788, 267, 1460, 280, 1288, 2909, 361, 833, 1043, 456, 199, 44, 872, 295, 636, 328, 1297, 345, 27154, 313, 1266, 18799, 377, 1300, 15828, 368, 927, 4877, 510, 4058, 1485, 286, 852, 48, 199, 3848, 294, 14865, 199, 0, 199, 26943, 1964, 638, 263, 1999, 533, 289, 1575, 408, 12833, 412, 4840, 1187, 57, 1134, 421, 6074, 873, 21877, 2680, 5870, 199, 341, 667, 12320, 402, 56, 321, 26943, 1964, 638, 263, 1999, 533, 289, 1575, 408, 12833, 412, 4840, 1187, 57, 1134, 421, 6074, 199, 873, 21877, 2680, 5870, 341, 667, 12320, 402, 985, 390, 34931, 1955, 1078, 441, 458, 532, 342, 2156, 2324, 373, 605, 377, 199, 15002, 445, 40216, 322, 528, 3201, 414, 3190, 857, 27846, 3676, 343, 722, 2359, 1042, 287, 528, 4307, 23028, 13573, 199, 1297, 1714, 28841, 955, 445, 1073, 34502, 6224, 31186, 1156, 349, 4528, 579, 49, 1459, 2806, 346, 16451, 380, 400 ]

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

[ 703, 199, 327, 509, 1697, 4827, 464, 10317, 2159, 318, 2127, 299, 7808, 770, 1365, 496, 286, 606, 2454, 1974, 367, 588, 332, 1432, 10793, 199, 320, 468, 828, 6777, 337, 454, 1694, 37133, 274, 2545, 367, 16633, 1009, 7378, 21152, 2934, 435, 1376, 34916, 631, 199, 12275, 8387, 584, 18510, 841, 363, 1101, 286, 9942, 776, 349, 612, 821, 581, 17030, 1175, 263, 1101, 284, 523, 12269, 199, 39, 585, 1479, 9932, 1010, 431, 984, 36428, 1321, 2058, 1164, 290, 984, 524, 835, 289, 861, 42953, 509, 416, 6924, 299, 199, 547, 473, 36084, 2004, 983, 1144, 493, 399, 1319, 44072, 5631, 264, 399, 609, 12024, 1808, 366, 1303, 352, 1051, 3265, 726, 199, 473, 3129, 327, 1964, 638, 263, 1999, 533, 289, 1575, 408, 12833, 412, 4840, 1187, 57, 1134, 421, 6074, 873, 21877, 373, 507, 199, 51, 7651, 667, 12320, 402, 2186, 2136, 1983, 1955, 1078, 441, 458, 532, 342, 412, 19457, 1816, 546, 10237, 48279, 469, 322, 199, 18735, 1795, 602, 458, 782, 27846, 3676, 343, 722, 2359, 1029, 287, 528, 4307, 23028, 13573, 1297, 1714, 313, 1618, 199, 2329, 445, 1073, 34502, 6224, 31186, 1156, 349, 4528, 579, 49, 1459, 2806, 346, 16451, 380, 400, 703, 327, 509, 1697, 4827, 199, 464, 10317, 2159, 318, 2127, 299, 7808, 770, 1365, 496, 286, 606, 2454, 1974, 367, 588, 332, 1432, 357, 1190, 468, 828, 6777, 199, 337, 454, 1694, 37133, 274, 2545, 15144, 386, 1009, 7378, 21152, 2934, 435, 1376, 34916, 34127, 619, 8387, 584, 199, 18510, 841, 502, 1101, 286, 9942, 776, 349, 612, 821, 581, 17030, 1175, 263, 1101, 284, 523, 6210, 585, 1479, 9932, 52, 199, 24365, 984, 36428, 1321, 2058, 1164, 290, 984, 524, 835, 289, 861, 42953, 509, 416, 6924, 299, 547, 473, 36084, 2004, 199, 983, 1144, 493, 399, 1319, 44072, 5631, 264, 399, 609, 12024, 1808, 366, 1303, 352, 1051, 3265, 726, 473, 1516, 912, 2588, 56, 199, 12212, 35, 199, 0, 199, 1059, 13996, 416, 347, 5445, 436, 22243, 24345, 1338, 406, 1743, 1477, 3797, 372, 1026, 281, 1099, 4262, 262, 1449, 2672, 199, 9906, 2479, 320, 437, 23656, 774, 637, 761, 461, 4914, 288, 7226, 22532, 1763, 23704, 336, 2684, 674, 4071, 617, 280, 496, 199, 399, 395, 522, 644, 2917, 30982, 13952, 17081, 423, 384, 900, 293, 615, 517, 5829, 301, 520, 16512, 33171, 840, 1622, 199, 46, 1491, 3934, 10146, 1665, 326, 2127, 6485, 586, 355, 430, 391, 404, 2042, 411, 272, 940, 12708, 3976, 270, 3713, 427, 199, 1764, 11294, 376, 3234, 1422, 258, 2259, 295, 468, 365, 7080, 1904, 36709, 317, 582, 38069, 349, 2950, 1012, 620, 263, 199, 16789, 499, 8408, 527, 10916, 8228, 940, 8345, 4514, 9195, 1233, 356, 344, 685, 10397, 1120, 46913, 23195, 199, 1954, 318, 458, 13427, 851, 48, 1047, 10254, 343, 531, 11627, 1179, 283, 1446, 289, 999, 18093, 737, 669, 30076, 384, 45, 199, 13423, 718, 268, 897, 2923, 262, 31318, 881, 13185, 285, 862, 920, 1653, 266, 3648, 29473, 962, 2465, 300, 436, 199, 341, 8526, 7055, 2058, 293, 5258, 705, 272, 790, 35, 1028, 14001, 19179 ]

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

[ 336, 4226, 3420, 530, 380, 2366, 9483, 199, 49275, 1212, 17802, 408, 415, 2482, 411, 524, 17686, 2614, 321, 436, 985, 21731, 833, 21272, 15008, 407, 2857, 373, 478, 199, 390, 1514, 276, 8211, 743, 10694, 268, 2465, 10863, 4961, 20700, 387, 935, 279, 459, 3471, 421, 6044, 2960, 417, 14060, 199, 40569, 356, 4111, 772, 18996, 2673, 331, 729, 290, 13844, 2203, 1631, 287, 2362, 364, 605, 19282, 453, 5281, 601, 199, 391, 4058, 498, 407, 2244, 668, 516, 1491, 2188, 30358, 55, 1884, 403, 2831, 570, 35823, 6710, 792, 984, 12131, 33, 199, 1132, 12314, 375, 1466, 16988, 4543, 2467, 294, 1098, 342, 451, 956, 1046, 35719, 12948, 1655, 343, 516, 5580, 16585, 199, 26219, 550, 2003, 426, 380, 1738, 365, 1595, 517, 392, 25533, 15123, 532, 15856, 746, 291, 476, 760, 403, 372, 8238, 368, 199, 13600, 753, 26567, 2703, 38661, 3267, 439, 2081, 1673, 19016, 415, 5434, 282, 1742, 6712, 470, 788, 797, 1494, 33, 199, 36, 584, 313, 1240, 634, 444, 537, 390, 5050, 650, 292, 496, 3235, 679, 279, 1940, 333, 2787, 363, 2552, 286, 10917, 3929, 46, 199, 1590, 662, 325, 7006, 1032, 758, 284, 622, 33392, 46758, 5338, 314, 1930, 22840, 20449, 832, 1900, 431, 340, 507, 33, 199, 15562, 268, 3463, 1295, 28149, 10457, 2384, 407, 6243, 669, 1793, 11457, 12088, 915, 9864, 383, 8840, 344, 199, 1589, 327, 7263, 199, 0, 199, 2088, 1994, 441, 454, 16274, 579, 333, 895, 295, 10559, 2463, 23306, 7933, 52, 1504, 13448, 470, 431, 396, 774, 353, 9163, 199, 6699, 285, 789, 2149, 39729, 8258, 9222, 1073, 15943, 513, 7107, 687, 387, 400, 419, 12138, 5002, 272, 574, 199, 985, 3365, 36829, 2390, 279, 1438, 4151, 13500, 1597, 456, 5777, 713, 440, 1458, 45709, 25534, 1325, 1577, 414, 52, 199, 1232, 1163, 422, 1595, 4288, 522, 3520, 364, 632, 29161, 3882, 1279, 990, 1268, 346, 14370, 278, 1153, 274, 4184, 199, 18988, 2067, 367, 5802, 354, 1184, 9824, 664, 318, 546, 20102, 1853, 906, 356, 10163, 1485, 356, 519, 11258, 403, 14115, 199, 923, 22495, 19741, 497, 18382, 3304, 35036, 390, 7992, 10321, 1173, 1277, 16301, 1176, 403, 958, 374, 9646, 199, 337, 961, 396, 422, 1975, 3102, 7556, 1573, 426, 3569, 1727, 371, 18520, 1645, 1421, 413, 1893, 339, 889, 1982, 15169, 199, 29087, 12231, 704, 6098, 689, 406, 725, 4066, 715, 371, 19787, 274, 1694, 16821, 37630, 684, 4281, 7450, 770, 274, 199, 48, 770, 1134, 770, 1134, 770, 5056, 433, 1134, 770, 2120, 350, 890, 4014, 261, 930, 505, 5905, 739, 327, 5745, 406, 199, 464, 333, 3920, 1090, 455, 2157, 6532, 580, 2013, 33949, 362, 14189, 362, 7166, 9376, 2217, 295, 1578, 458, 2499, 4974, 199, 599, 400, 23269, 337, 599, 274, 2217, 332, 9035, 3249, 517, 272, 2358, 1188, 516, 1623, 41751, 3087, 374, 1742, 5365, 199, 901, 581, 21619, 993, 452, 2488, 16800, 333, 10606, 316, 17541, 891, 317, 429, 1406, 17327, 2684, 1268, 1291, 6680, 199, 1508, 298, 2474, 17374, 1121, 314, 1678, 1015, 12046, 21163, 24474, 367, 16609, 1008, 26323, 46427, 584, 9300, 372, 199, 8766, 295, 447 ]

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

[ 6302, 295, 4307, 426, 30743, 23464, 447, 6304, 35550, 6304, 371, 10868, 43843, 923, 12537, 480, 199, 4123, 1365, 8334, 443, 2365, 515, 1441, 8015, 4877, 1879, 889, 1542, 889, 331, 336, 1959, 1381, 356, 817, 341, 199, 4442, 318, 18838, 341, 569, 2144, 16339, 457, 526, 895, 406, 4674, 1023, 4064, 24910, 2127, 6056, 341, 758, 356, 18382, 199, 2144, 21216, 709, 2144, 21216, 709, 2144, 21216, 15249, 29366, 356, 1831, 331, 5196, 315, 1065, 5141, 367, 375, 468, 199, 11303, 1253, 925, 400, 1608, 2220, 6653, 903, 1375, 373, 12433, 2136, 10191, 7399, 359, 1517, 1656, 5617, 15216, 199, 15655, 558, 263, 476, 3740, 386, 621, 360, 2142, 38000, 6656, 23630, 3279, 584, 1105, 20063, 1666, 364, 12495, 465, 199, 656, 518, 332, 812, 199, 0, 199, 382, 1331, 590, 463, 677, 286, 534, 7918, 300, 7541, 1398, 1514, 369, 536, 337, 980, 7084, 4338, 759, 40399, 7260, 199, 2300, 344, 867, 9516, 5837, 272, 2017, 8288, 999, 383, 11484, 566, 6786, 359, 819, 575, 7169, 724, 402, 608, 512, 199, 990, 7264, 448, 6778, 739, 371, 383, 2799, 606, 14478, 1114, 333, 7466, 257, 644, 575, 7318, 1973, 912, 7894, 831, 199, 258, 2038, 269, 660, 328, 8933, 366, 7451, 260, 997, 1295, 270, 532, 21264, 1790, 445, 2289, 2722, 316, 37822, 709, 285, 199, 7426, 22983, 2296, 452, 18807, 921, 26130, 278, 2331, 263, 2310, 324, 2213, 10067, 267, 1416, 2159, 1814, 36969, 23188, 199, 1326, 19380, 1930, 3484, 365, 1215, 287, 8509, 1152, 14011, 2772, 37940, 2122, 1087, 1151, 388, 4037, 374, 2151, 265, 45, 199, 407, 2531, 2166, 257, 987, 44062, 1961, 1353, 2177, 2002, 548, 290, 679, 398, 990, 5982, 6333, 684, 6250, 502, 328, 199, 729, 281, 1844, 262, 1003, 1817, 391, 6264, 532, 901, 27803, 647, 278, 547, 4975, 448, 6045, 816, 570, 328, 1714, 561, 199, 890, 422, 799, 348, 1871, 10105, 22953, 14040, 5050, 393, 401, 801, 368, 1593, 2327, 439, 384, 553, 16042, 510, 653, 571, 199, 44, 1226, 297, 1182, 297, 5070, 461, 782, 891, 336, 2146, 349, 1504, 274, 1226, 4917, 282, 850, 38421, 859, 48538, 648, 199, 266, 474, 649, 316, 1004, 20340, 2294, 574, 38421, 965, 9346, 1952, 350, 482, 10864, 726, 370, 603, 3147, 3708, 377, 434, 199, 4004, 443, 6821, 1907, 26454, 1868, 445, 1179, 778, 57, 770, 35753, 1054, 327, 670, 280, 721, 624, 6061, 329, 660, 6400, 199, 14755, 401, 8649, 1575, 12277, 506, 29592, 12195, 32830, 27746, 1841, 355, 981, 2227, 457, 35913, 1067, 563, 19583, 199, 390, 388, 977, 288, 1779, 668, 261, 703, 271, 3001, 3369, 470, 446, 3948, 427, 30514, 338, 568, 341, 993, 263, 901, 46, 1075, 199, 354, 2028, 355, 782, 7974, 559, 354, 4479, 892, 9321, 8881, 421, 1521, 1070, 355, 1739, 1494, 13542, 13916, 636, 57, 199, 636, 2341, 260, 462, 3764, 470, 1526, 21051, 798, 12215, 14472, 326, 3480, 1506, 28045, 6824, 1291, 6721, 288, 1038, 516, 199, 6176, 2336, 329, 2743, 995, 6645, 39454, 1152, 5072, 347, 830, 6052, 618, 1810, 15733, 1485, 19481, 1585, 41580, 199, 574, 270, 987, 295, 3733 ]

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

[ 1175, 257, 825, 5499, 8107, 20097, 267, 3670, 1831, 393, 1245, 974, 6055, 1499, 269, 2364, 199, 44, 9985, 283, 40319, 1427, 1819, 431, 9140, 31996, 673, 2652, 3665, 3116, 276, 3445, 266, 376, 2178, 649, 7041, 1772, 33, 199, 389, 838, 4462, 46, 199, 0, 199, 21572, 3016, 322, 573, 338, 925, 1410, 2442, 452, 3644, 421, 558, 11451, 433, 508, 596, 7511, 836, 12367, 410, 7246, 54, 199, 11728, 27701, 279, 2736, 24968, 5429, 655, 11323, 2143, 9372, 315, 23395, 3072, 1064, 2320, 43, 1207, 5909, 8021, 199, 263, 849, 762, 343, 989, 332, 3324, 625, 339, 618, 1354, 20306, 1046, 321, 9683, 257, 820, 3773, 2942, 4266, 804, 199, 18852, 332, 2713, 339, 989, 15208, 287, 1107, 13355, 322, 12292, 971, 6787, 45483, 439, 2078, 390, 580, 407, 3682, 38, 199, 16434, 23350, 984, 4281, 2276, 604, 596, 320, 656, 327, 23350, 388, 1013, 563, 370, 604, 667, 394, 1700, 359, 480, 5353, 452, 199, 1415, 13090, 615, 259, 618, 30766, 905, 494, 18128, 496, 1514, 13518, 988, 359, 37421, 387, 16419, 529, 11716, 3699, 199, 462, 359, 18720, 15761, 12998, 437, 16444, 11361, 26830, 6929, 2309, 1642, 1901, 559, 865, 2295, 9213, 930, 16843, 199, 393, 851, 990, 12441, 9028, 28112, 258, 22586, 1407, 5678, 359, 3982, 593, 360, 427, 537, 301, 5231, 391, 1105, 199, 265, 689, 301, 544, 611, 342, 4597, 2187, 7237, 57, 1567, 820, 2623, 10859, 1322, 287, 844, 343, 828, 365, 9791, 45, 199, 830, 4737, 529, 18334, 1496, 7047, 6861, 16489, 12901, 32186, 861, 261, 1527, 541, 8907, 294, 1005, 1950, 629, 199, 343, 376, 688, 335, 1170, 262, 1072, 1005, 25866, 412, 1082, 322, 7396, 375, 534, 12542, 503, 3572, 1965, 2075, 16912, 46, 199, 321, 663, 258, 2765, 36306, 969, 3321, 578, 805, 27360, 17880, 3036, 43531, 372, 1638, 28410, 4107, 552, 355, 1793, 199, 15667, 922, 2808, 2723, 2099, 26201, 279, 673, 661, 1432, 682, 1557, 546, 1148, 1206, 10088, 2156, 511, 274, 936, 906, 199, 39, 16425, 908, 342, 1245, 589, 25658, 4192, 572, 449, 704, 328, 2375, 49354, 1404, 1322, 1533, 425, 1417, 426, 35600, 199, 426, 329, 1058, 10002, 1964, 369, 1415, 636, 2701, 1077, 46995, 1459, 267, 4690, 734, 379, 373, 1636, 1755, 3079, 294, 831, 199, 39, 388, 912, 2366, 1856, 1253, 743, 1334, 278, 1048, 1875, 32099, 412, 596, 950, 574, 388, 320, 500, 7761, 1938, 38512, 199, 15875, 511, 455, 12616, 733, 492, 264, 486, 350, 750, 1670, 264, 2279, 898, 9002, 266, 967, 800, 887, 416, 4483, 381, 199, 1874, 738, 35867, 4776, 1045, 10947, 816, 2365, 44018, 559, 380, 9351, 496, 18159, 297, 14941, 975, 12614, 356, 199, 539, 342, 6137, 19637, 2140, 1824, 841, 1237, 31096, 1352, 330, 3282, 850, 534, 6460, 295, 1285, 2394, 1258, 1349, 199, 974, 14137, 628, 199, 0, 199, 432, 2470, 334, 711, 8986, 262, 2294, 1711, 1970, 12981, 5037, 22646, 3434, 15643, 300, 20178, 336, 1962, 698, 2097, 199, 508, 2990, 3649, 16768, 1871, 4361, 1115, 28346, 457, 332, 615, 5065, 29531, 623, 4363, 2878, 1956, 337, 2111, 55, 199, 43304, 263, 1226 ]

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

[ 813, 1110, 1668, 875, 346, 1596, 4462, 1990, 48548, 2464, 9747, 14472, 465, 23820, 360, 1676, 428, 199, 37, 16934, 10338, 1081, 1453, 320, 1265, 336, 384, 989, 328, 689, 7583, 43364, 3004, 827, 774, 467, 396, 23675, 641, 263, 199, 1313, 626, 272, 3134, 1580, 16832, 2128, 1426, 455, 350, 1549, 17273, 367, 2659, 589, 275, 610, 15888, 380, 3989, 2443, 199, 25148, 2394, 519, 14873, 1396, 355, 2422, 872, 3707, 331, 666, 6165, 11769, 349, 40281, 490, 46165, 5189, 427, 3151, 199, 1508, 329, 571, 5231, 623, 566, 352, 24197, 1976, 2306, 5475, 705, 521, 338, 1020, 9057, 22964, 2543, 768, 507, 2341, 564, 199, 2296, 461, 48319, 1171, 1200, 431, 1699, 338, 2350, 16782, 1666, 34049, 1710, 263, 837, 710, 406, 2156, 496, 2852, 514, 324, 199, 825, 864, 1326, 1166, 338, 599, 412, 2719, 300, 1862, 401, 2791, 1910, 18100, 754, 513, 17870, 813, 48202, 1267, 1843, 199, 48858, 774, 426, 493, 1709, 9875, 390, 2666, 38758, 368, 2079, 1642, 2063, 670, 366, 1858, 417, 20825, 326, 23596, 406, 19325, 199, 22912, 274, 8180, 320, 650, 650, 323, 1290, 337, 520, 27457, 1127, 338, 506, 6527, 23376, 1546, 23235, 1173, 415, 511, 3776, 703, 199, 11641, 6527, 263, 4745, 2694, 21671, 384, 3595, 5817, 287, 2194, 6952, 425, 19673, 38682, 1724, 404, 520, 742, 886, 520, 199, 1718, 648, 366, 2609, 9996, 2054, 511, 3494, 359, 2575, 300, 437, 716, 3964, 715, 21320, 441, 49077, 318, 387, 2064, 1800, 199, 4616, 330, 891, 23763, 1550, 17322, 10533, 577, 20723, 1013, 283, 1566, 10258, 2027, 1877, 48, 1695, 350, 384, 3595, 52, 199, 1937, 371, 466, 394, 829, 511, 1220, 1290, 399, 520, 297, 1792, 44096, 797, 474, 371, 511, 11324, 599, 262, 773, 511, 389, 566, 18595, 199, 3385, 356, 783, 268, 617, 267, 1870, 1781, 511, 1985, 405, 1435, 773, 511, 839, 1724, 32978, 1359, 359, 2272, 6598, 997, 54, 199, 1304, 1874, 1935, 52, 56, 315, 511, 1985, 405, 1435, 773, 511, 839, 1724, 32978, 1359, 359, 3136, 263, 721, 300, 797, 14395, 46953, 199, 22912, 371, 5390, 407, 506, 384, 1914, 470, 284, 467, 47489, 973, 1407, 277, 1313, 452, 2298, 33263, 268, 2806, 278, 1039, 57, 199, 28337, 22688, 363, 612, 288, 32959, 1182, 5142, 508, 1785, 343, 1717, 1814, 7813, 18771, 587, 295, 1272, 32225, 345, 2214, 199, 529, 8636, 8175, 199, 0, 199, 9640, 895, 274, 26843, 374, 19501, 7241, 938, 286, 1116, 374, 2215, 411, 1898, 1152, 1475, 1368, 401, 40140, 1731, 33, 199, 2071, 1060, 314, 494, 1800, 15009, 9119, 373, 1268, 274, 1071, 13844, 7704, 1869, 966, 19925, 2188, 447, 3793, 368, 199, 278, 541, 407, 2373, 414, 32184, 568, 16008, 277, 10445, 413, 578, 2881, 493, 18031, 794, 315, 1717, 19610, 619, 15204, 199, 8671, 2232, 358, 3382, 1200, 10006, 418, 762, 1954, 1992, 326, 1168, 2009, 371, 29148, 831, 15962, 375, 941, 361, 5111, 199, 258, 1290, 790, 671, 404, 4443, 357, 1228, 41006, 277, 4972, 1420, 935, 267, 975, 44308, 794, 295, 1193, 365, 11104, 199, 51, 1017, 4991, 31364, 1150, 258, 1257, 369, 599, 20494 ]

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

[ 902, 13054, 1283, 1079, 262, 2662, 1165, 317, 36194, 577, 806, 199, 14213, 2419, 331, 10369, 390, 30127, 878, 6906, 653, 392, 533, 334, 1575, 1195, 494, 280, 1317, 33661, 1528, 476, 3649, 46, 199, 51, 3557, 10833, 338, 653, 276, 5351, 1769, 30397, 382, 5321, 1668, 4732, 268, 777, 7240, 6786, 400, 779, 1407, 199, 295, 1959, 10559, 2334, 5811, 14369, 389, 455, 2213, 5401, 32641, 556, 3465, 966, 343, 490, 258, 1387, 457, 10501, 54, 199, 794, 336, 7676, 326, 1010, 20757, 828, 551, 25022, 1479, 597, 409, 621, 2706, 264, 1113, 22838, 19843, 318, 199, 48, 1655, 352, 515, 415, 2505, 9934, 325, 9704, 690, 10863, 370, 19890, 37912, 21163, 29933, 44977, 1882, 23448, 199, 39, 23048, 48307, 4176, 4650, 9647, 361, 634, 1137, 1505, 335, 18414, 312, 608, 386, 596, 10956, 2400, 327, 1381, 199, 982, 379, 8107, 1338, 350, 8680, 379, 2286, 407, 3688, 8150, 2167, 3628, 397, 313, 1179, 1318, 937, 1844, 38525, 38, 199, 17674, 1074, 1141, 8599, 813, 990, 529, 354, 8129, 457, 33416, 675, 1280, 276, 6514, 29624, 1045, 295, 1011, 2301, 199, 598, 373, 2906, 555, 4296, 453, 14331, 402, 18341, 25523, 328, 3810, 529, 36717, 401, 853, 548, 8730, 1933, 39067, 199, 1519, 18255, 721, 611, 1271, 3765, 630, 378, 3854, 35, 1371, 280, 2345, 1838, 877, 1353, 33476, 427, 2774, 916, 15931, 199, 33302, 853, 428, 12033, 1150, 9430, 1267, 28861, 1170, 288, 1956, 442, 321, 7735, 591, 11872, 466, 1049, 342, 10646, 199, 266, 2477, 620, 1276, 1940, 9001, 337, 1393, 288, 2354, 560, 448, 40704, 1960, 6031, 626, 8023, 1618, 3208, 5576, 199, 51, 1199, 340, 784, 10715, 6329, 5124, 362, 1351, 493, 901, 2215, 262, 868, 1157, 274, 983, 1712, 1234, 3190, 442, 14688, 199, 279, 1435, 17781, 199, 0, 199, 3152, 27401, 446, 465, 6076, 845, 418, 585, 287, 509, 284, 37887, 18768, 904, 10746, 28343, 979, 29271, 1333, 28560, 199, 542, 11771, 5361, 396, 7823, 521, 3842, 396, 1415, 8051, 29613, 31723, 49074, 25254, 965, 45687, 6768, 687, 381, 199, 2195, 586, 16100, 451, 2296, 12369, 656, 650, 23652, 451, 400, 1877, 8721, 33473, 446, 401, 422, 2683, 338, 506, 660, 746, 199, 18787, 36836, 630, 384, 636, 48211, 1270, 300, 721, 315, 654, 266, 3810, 800, 1007, 4354, 364, 484, 47527, 773, 333, 1064, 539, 199, 4337, 27586, 384, 828, 317, 540, 403, 13754, 491, 4790, 491, 503, 617, 32442, 3042, 514, 575, 368, 617, 906, 1380, 277, 1665, 52, 199, 15165, 2878, 1863, 7987, 531, 15149, 322, 44305, 1078, 341, 1163, 463, 35, 886, 3224, 359, 8951, 804, 364, 3270, 396, 5640, 199, 1512, 260, 1389, 399, 1989, 444, 3346, 4354, 451, 1064, 402, 540, 30592, 1625, 416, 335, 628, 18447, 1542, 564, 2540, 960, 32418, 199, 453, 524, 9561, 421, 374, 5077, 1769, 1955, 687, 1255, 262, 11154, 7982, 345, 33907, 367, 37503, 334, 606, 535, 437, 926, 199, 617, 19455, 269, 2299, 1470, 549, 1915, 4103, 898, 342, 39791, 11482, 7638, 968, 33472, 351, 632, 1596, 48578, 539, 199, 412, 2394, 439, 7939, 321, 720, 1837, 1251, 423, 7179, 552, 4416 ]