sort2.c

#include "push_swap.h"

static const int rt[3501][4] = {{0, 0, 0, 0},
                                {1, 2, 3, 4},
                                {5, 6, 7, 8},
                                {9, 10, 11, 12},
                                {13, 14, 15, 16},
                                {17, 18, 19, 20},
                                {21, 22, 23, 24},
                                {25, 26, 27, 28},
                                {29, 30, 31, 32},
                                {33, 34, 35, 36},
                                {37, 38, 39, 40},
                                {41, 42, 43, 44},
                                {45, 46, 47, 48},
                                {49, 50, 51, 52},
                                {53, 54, 55, 56},
                                {57, 58, 59, 60},
                                {61, 62, 63, 64},
                                {65, 66, 67, 68},
                                {69, 70, 71, 72},
                                {73, 74, 75, 76},
                                {77, 78, 79, 80},
                                {81, 82, 83, 84},
                                {85, 0, 0, 0},
                                {86, 0, 0, 0},
                                {87, 0, 0, 0},
                                {88, 89, 90, 91},
                                {92, 0, 0, 0},
                                {93, 0, 0, 0},
                                {94, 0, 0, 0},
                                {95, 96, 97, 98},
                                {99, 0, 0, 0},
                                {100, 0, 0, 0},
                                {101, 0, 0, 0},
                                {102, 103, 104, 105},
                                {106, 107, 108, 109},
                                {110, 111, 112, 113},
                                {114, 115, 116, 117},
                                {118, 119, 120, 121},
                                {122, 0, 0, 0},
                                {123, 0, 0, 0},
                                {124, 0, 0, 0},
                                {125, 126, 127, 128},
                                {129, 0, 0, 0},
                                {130, 0, 0, 0},
                                {131, 0, 0, 0},
                                {132, 133, 134, 135},
                                {136, 0, 0, 0},
                                {137, 0, 0, 0},
                                {138, 0, 0, 0},
                                {139, 140, 141, 142},
                                {143, 144, 145, 146},
                                {147, 148, 149, 150},
                                {151, 152, 153, 154},
                                {155, 156, 157, 158},
                                {159, 0, 0, 0},
                                {160, 0, 0, 0},
                                {161, 0, 0, 0},
                                {162, 163, 164, 165},
                                {166, 0, 0, 0},
                                {167, 0, 0, 0},
                                {168, 0, 0, 0},
                                {169, 170, 171, 172},
                                {173, 0, 0, 0},
                                {174, 0, 0, 0},
                                {175, 0, 0, 0},
                                {176, 177, 178, 179},
                                {180, 181, 182, 183},
                                {184, 185, 186, 187},
                                {188, 189, 190, 191},
                                {192, 193, 194, 195},
                                {196, 197, 198, 199},
                                {200, 201, 202, 203},
                                {204, 205, 206, 207},
                                {208, 209, 210, 211},
                                {212, 213, 214, 215},
                                {216, 217, 218, 219},
                                {220, 221, 222, 223},
                                {224, 225, 226, 227},
                                {228, 229, 230, 231},
                                {232, 233, 234, 235},
                                {236, 237, 238, 239},
                                {240, 241, 242, 243},
                                {244, 245, 246, 247},
                                {248, 249, 250, 251},
                                {252, 253, 254, 255},
                                {256, 257, 258, 259},
                                {260, 261, 262, 263},
                                {264, 265, 266, 267},
                                {268, 269, 270, 271},
                                {272, 273, 274, 275},
                                {276, 277, 278, 279},
                                {280, 281, 282, 283},
                                {284, 285, 286, 287},
                                {288, 289, 290, 291},
                                {292, 293, 294, 295},
                                {296, 297, 298, 299},
                                {300, 301, 302, 303},
                                {304, 305, 306, 307},
                                {308, 309, 310, 311},
                                {312, 313, 314, 315},
                                {316, 317, 318, 319},
                                {320, 321, 322, 323},
                                {324, 325, 326, 327},
                                {328, 329, 330, 331},
                                {332, 333, 334, 335},
                                {336, 337, 338, 339},
                                {340, 341, 342, 343},
                                {344, 0, 0, 0},
                                {345, 0, 0, 0},
                                {346, 0, 0, 0},
                                {347, 348, 349, 350},
                                {351, 0, 0, 0},
                                {352, 0, 0, 0},
                                {353, 0, 0, 0},
                                {354, 355, 356, 357},
                                {358, 0, 0, 0},
                                {359, 0, 0, 0},
                                {360, 0, 0, 0},
                                {361, 362, 363, 364},
                                {365, 366, 367, 368},
                                {369, 370, 371, 372},
                                {373, 374, 375, 376},
                                {377, 378, 379, 380},
                                {381, 382, 383, 384},
                                {385, 386, 387, 388},
                                {389, 390, 391, 392},
                                {393, 0, 0, 0},
                                {394, 0, 0, 0},
                                {395, 0, 0, 0},
                                {396, 397, 398, 399},
                                {400, 0, 0, 0},
                                {401, 0, 0, 0},
                                {402, 403, 404, 405},
                                {406, 0, 0, 0},
                                {407, 0, 0, 0},
                                {408, 0, 0, 0},
                                {409, 410, 411, 412},
                                {413, 0, 0, 0},
                                {414, 0, 0, 0},
                                {415, 416, 417, 418},
                                {419, 420, 421, 422},
                                {423, 424, 425, 426},
                                {427, 428, 429, 430},
                                {431, 432, 433, 434},
                                {435, 0, 0, 0},
                                {436, 0, 0, 0},
                                {437, 0, 0, 0},
                                {438, 439, 440, 441},
                                {442, 0, 0, 0},
                                {443, 0, 0, 0},
                                {444, 0, 0, 0},
                                {445, 446, 447, 448},
                                {449, 0, 0, 0},
                                {450, 0, 0, 0},
                                {451, 0, 0, 0},
                                {452, 453, 454, 455},
                                {456, 457, 458, 459},
                                {460, 461, 462, 463},
                                {464, 465, 466, 467},
                                {468, 469, 470, 471},
                                {472, 473, 474, 475},
                                {476, 477, 478, 479},
                                {480, 481, 482, 483},
                                {484, 0, 0, 0},
                                {485, 0, 0, 0},
                                {486, 0, 0, 0},
                                {487, 488, 489, 490},
                                {491, 0, 0, 0},
                                {492, 0, 0, 0},
                                {493, 494, 495, 496},
                                {497, 0, 0, 0},
                                {498, 0, 0, 0},
                                {499, 0, 0, 0},
                                {500, 501, 502, 503},
                                {504, 0, 0, 0},
                                {505, 0, 0, 0},
                                {506, 507, 508, 509},
                                {510, 511, 512, 513},
                                {514, 515, 516, 517},
                                {518, 519, 520, 521},
                                {522, 523, 524, 525},
                                {526, 527, 528, 529},
                                {530, 531, 532, 533},
                                {534, 535, 536, 537},
                                {538, 539, 540, 541},
                                {542, 543, 544, 545},
                                {546, 547, 548, 549},
                                {550, 551, 552, 553},
                                {554, 555, 556, 557},
                                {558, 559, 560, 561},
                                {562, 563, 564, 565},
                                {566, 567, 568, 569},
                                {570, 571, 572, 573},
                                {574, 575, 576, 577},
                                {578, 579, 580, 581},
                                {582, 583, 584, 585},
                                {586, 587, 588, 589},
                                {590, 0, 0, 0},
                                {591, 0, 0, 0},
                                {592, 0, 0, 0},
                                {593, 594, 595, 596},
                                {597, 0, 0, 0},
                                {598, 0, 0, 0},
                                {599, 0, 0, 0},
                                {600, 601, 602, 603},
                                {604, 0, 0, 0},
                                {605, 0, 0, 0},
                                {606, 0, 0, 0},
                                {607, 608, 609, 610},
                                {611, 612, 613, 614},
                                {615, 616, 617, 618},
                                {619, 620, 621, 622},
                                {623, 624, 625, 626},
                                {627, 0, 0, 0},
                                {628, 0, 0, 0},
                                {629, 0, 0, 0},
                                {630, 631, 632, 633},
                                {634, 0, 0, 0},
                                {635, 0, 0, 0},
                                {636, 0, 0, 0},
                                {637, 638, 639, 640},
                                {641, 0, 0, 0},
                                {642, 0, 0, 0},
                                {643, 0, 0, 0},
                                {644, 645, 646, 647},
                                {648, 649, 650, 651},
                                {652, 653, 654, 655},
                                {656, 657, 658, 659},
                                {660, 661, 662, 663},
                                {664, 0, 0, 0},
                                {665, 0, 0, 0},
                                {666, 0, 0, 0},
                                {667, 668, 669, 670},
                                {671, 0, 0, 0},
                                {672, 0, 0, 0},
                                {673, 0, 0, 0},
                                {674, 675, 676, 677},
                                {678, 0, 0, 0},
                                {679, 0, 0, 0},
                                {680, 0, 0, 0},
                                {681, 682, 683, 684},
                                {685, 686, 687, 688},
                                {689, 690, 691, 692},
                                {693, 694, 695, 696},
                                {697, 698, 699, 700},
                                {701, 702, 703, 704},
                                {705, 706, 707, 708},
                                {709, 710, 711, 712},
                                {713, 714, 715, 716},
                                {717, 718, 719, 720},
                                {721, 722, 723, 724},
                                {725, 726, 727, 728},
                                {729, 730, 731, 732},
                                {733, 734, 735, 736},
                                {737, 738, 739, 740},
                                {741, 742, 743, 744},
                                {745, 746, 747, 748},
                                {749, 750, 751, 752},
                                {753, 754, 755, 756},
                                {757, 758, 759, 760},
                                {761, 762, 763, 764},
                                {765, 766, 767, 768},
                                {769, 770, 771, 772},
                                {773, 774, 775, 776},
                                {777, 778, 779, 780},
                                {781, 782, 783, 784},
                                {785, 786, 787, 788},
                                {789, 790, 791, 792},
                                {793, 794, 795, 796},
                                {797, 798, 799, 800},
                                {801, 802, 803, 804},
                                {805, 806, 807, 808},
                                {809, 810, 811, 812},
                                {813, 0, 0, 0},
                                {814, 0, 0, 0},
                                {815, 0, 0, 0},
                                {816, 817, 818, 819},
                                {820, 0, 0, 0},
                                {821, 0, 0, 0},
                                {822, 0, 0, 0},
                                {823, 824, 825, 826},
                                {827, 0, 0, 0},
                                {828, 0, 0, 0},
                                {829, 0, 0, 0},
                                {830, 831, 832, 833},
                                {834, 835, 836, 837},
                                {838, 839, 840, 841},
                                {842, 843, 844, 845},
                                {846, 847, 848, 849},
                                {850, 0, 0, 0},
                                {851, 0, 0, 0},
                                {852, 0, 0, 0},
                                {853, 854, 855, 856},
                                {857, 0, 0, 0},
                                {858, 0, 0, 0},
                                {859, 0, 0, 0},
                                {860, 861, 862, 863},
                                {864, 865, 866, 867},
                                {868, 869, 870, 871},
                                {872, 873, 874, 875},
                                {876, 877, 878, 879},
                                {880, 0, 0, 0},
                                {881, 0, 0, 0},
                                {882, 0, 0, 0},
                                {883, 884, 885, 886},
                                {887, 0, 0, 0},
                                {888, 0, 0, 0},
                                {889, 0, 0, 0},
                                {890, 891, 892, 893},
                                {894, 0, 0, 0},
                                {895, 0, 0, 0},
                                {896, 0, 0, 0},
                                {897, 898, 899, 900},
                                {901, 902, 903, 904},
                                {905, 906, 907, 908},
                                {909, 910, 911, 912},
                                {913, 914, 915, 916},
                                {917, 0, 0, 0},
                                {918, 0, 0, 0},
                                {919, 0, 0, 0},
                                {920, 921, 922, 923},
                                {924, 0, 0, 0},
                                {925, 0, 0, 0},
                                {926, 0, 0, 0},
                                {927, 928, 929, 930},
                                {931, 932, 933, 934},
                                {935, 936, 937, 938},
                                {939, 940, 941, 942},
                                {943, 944, 945, 946},
                                {947, 948, 949, 950},
                                {951, 952, 953, 954},
                                {955, 956, 957, 958},
                                {959, 960, 961, 962},
                                {963, 964, 965, 966},
                                {967, 968, 969, 970},
                                {971, 972, 973, 974},
                                {975, 976, 977, 978},
                                {979, 980, 981, 982},
                                {983, 984, 985, 986},
                                {987, 988, 989, 990},
                                {991, 992, 993, 994},
                                {995, 996, 997, 998},
                                {999, 1000, 1001, 1002},
                                {1003, 1004, 1005, 1006},
                                {1007, 1008, 1009, 1010},
                                {1011, 1012, 1013, 1014},
                                {1015, 1016, 1017, 1018},
                                {1019, 1020, 1021, 1022},
                                {1023, 1024, 1025, 1026},
                                {1027, 1028, 1029, 1030},
                                {1031, 1032, 1033, 1034},
                                {1035, 1036, 1037, 1038},
                                {1039, 1040, 1041, 1042},
                                {1043, 1044, 1045, 1046},
                                {1047, 1048, 1049, 1050},
                                {1051, 1052, 1053, 1054},
                                {1055, 1056, 1057, 1058},
                                {1059, 1060, 1061, 1062},
                                {1063, 1064, 1065, 1066},
                                {1067, 1068, 1069, 1070},
                                {1071, 1072, 1073, 1074},
                                {1075, 1076, 1077, 1078},
                                {1079, 1080, 1081, 1082},
                                {1083, 1084, 1085, 1086},
                                {1087, 1088, 1089, 1090},
                                {1091, 1092, 1093, 1094},
                                {1095, 1096, 1097, 1098},
                                {1099, 1100, 1101, 1102},
                                {1103, 1104, 1105, 1106},
                                {1107, 1108, 1109, 1110},
                                {1111, 1112, 1113, 1114},
                                {1115, 1116, 1117, 1118},
                                {1119, 1120, 1121, 1122},
                                {1123, 1124, 1125, 1126},
                                {1127, 1128, 1129, 1130},
                                {1131, 1132, 1133, 1134},
                                {1135, 1136, 1137, 1138},
                                {1139, 1140, 1141, 1142},
                                {1143, 1144, 1145, 1146},
                                {1147, 1148, 1149, 1150},
                                {1151, 1152, 1153, 1154},
                                {1155, 1156, 1157, 1158},
                                {1159, 1160, 1161, 1162},
                                {1163, 1164, 1165, 1166},
                                {1167, 1168, 1169, 1170},
                                {1171, 1172, 1173, 1174},
                                {1175, 1176, 1177, 1178},
                                {1179, 1180, 1181, 1182},
                                {1183, 1184, 1185, 1186},
                                {1187, 1188, 1189, 1190},
                                {1191, 1192, 1193, 1194},
                                {1195, 1196, 1197, 1198},
                                {1199, 1200, 1201, 1202},
                                {1203, 1204, 1205, 1206},
                                {1207, 1208, 1209, 1210},
                                {1211, 1212, 1213, 1214},
                                {1215, 1216, 1217, 1218},
                                {1219, 1220, 1221, 1222},
                                {1223, 1224, 1225, 1226},
                                {1227, 1228, 1229, 1230},
                                {1231, 1232, 1233, 1234},
                                {1235, 1236, 1237, 1238},
                                {1239, 1240, 1241, 1242},
                                {1243, 1244, 1245, 1246},
                                {1247, 1248, 1249, 1250},
                                {1251, 1252, 1253, 1254},
                                {1255, 1256, 1257, 1258},
                                {1259, 1260, 1261, 1262},
                                {1263, 1264, 1265, 1266},
                                {1267, 1268, 1269, 1270},
                                {1271, 1272, 1273, 1274},
                                {1275, 1276, 1277, 1278},
                                {1279, 1280, 1281, 1282},
                                {1283, 1284, 1285, 1286},
                                {1287, 1288, 1289, 1290},
                                {1291, 1292, 1293, 1294},
                                {1295, 1296, 1297, 1298},
                                {1299, 1300, 1301, 1302},
                                {1303, 1304, 1305, 1306},
                                {1307, 1308, 1309, 1310},
                                {1311, 0, 0, 0},
                                {1312, 0, 0, 0},
                                {1313, 0, 0, 0},
                                {1314, 1315, 1316, 1317},
                                {1318, 0, 0, 0},
                                {1319, 0, 0, 0},
                                {1320, 0, 0, 0},
                                {1321, 1322, 1323, 1324},
                                {1325, 0, 0, 0},
                                {1326, 0, 0, 0},
                                {1327, 0, 0, 0},
                                {1328, 1329, 1330, 1331},
                                {1332, 1333, 1334, 1335},
                                {1336, 1337, 1338, 1339},
                                {1340, 1341, 1342, 1343},
                                {1344, 1345, 1346, 1347},
                                {1348, 1349, 1350, 1351},
                                {1352, 1353, 1354, 1355},
                                {1356, 1357, 1358, 1359},
                                {1360, 0, 0, 0},
                                {1361, 0, 0, 0},
                                {1362, 0, 0, 0},
                                {1363, 1364, 1365, 1366},
                                {1367, 0, 0, 0},
                                {1368, 0, 0, 0},
                                {1369, 1370, 1371, 1372},
                                {1373, 0, 0, 0},
                                {1374, 0, 0, 0},
                                {1375, 0, 0, 0},
                                {1376, 1377, 1378, 1379},
                                {1380, 0, 0, 0},
                                {1381, 0, 0, 0},
                                {1382, 1383, 1384, 1385},
                                {1386, 1387, 1388, 1389},
                                {1390, 1391, 1392, 1393},
                                {1394, 1395, 1396, 1397},
                                {1398, 1399, 1400, 1401},
                                {1402, 0, 0, 0},
                                {1403, 0, 0, 0},
                                {1404, 0, 0, 0},
                                {1405, 1406, 1407, 1408},
                                {1409, 0, 0, 0},
                                {1410, 0, 0, 0},
                                {1411, 0, 0, 0},
                                {1412, 1413, 1414, 1415},
                                {1416, 0, 0, 0},
                                {1417, 0, 0, 0},
                                {1418, 0, 0, 0},
                                {1419, 1420, 1421, 1422},
                                {1423, 1424, 1425, 1426},
                                {1427, 1428, 1429, 1430},
                                {1431, 1432, 1433, 1434},
                                {1435, 1436, 1437, 1438},
                                {1439, 0, 0, 0},
                                {1440, 0, 0, 0},
                                {1441, 0, 0, 0},
                                {1442, 1443, 1444, 1445},
                                {1446, 0, 0, 0},
                                {1447, 0, 0, 0},
                                {1448, 0, 0, 0},
                                {1449, 1450, 1451, 1452},
                                {1453, 1454, 1455, 1456},
                                {1457, 1458, 1459, 1460},
                                {1461, 1462, 1463, 1464},
                                {1465, 1466, 1467, 1468},
                                {1469, 1470, 1471, 1472},
                                {1473, 1474, 1475, 1476},
                                {1477, 1478, 1479, 1480},
                                {1481, 1482, 1483, 1484},
                                {1485, 1486, 1487, 1488},
                                {1489, 1490, 1491, 1492},
                                {1493, 1494, 1495, 1496},
                                {1497, 1498, 1499, 1500},
                                {1501, 1502, 1503, 1504},
                                {1505, 0, 0, 0},
                                {1506, 0, 0, 0},
                                {1507, 0, 0, 0},
                                {1508, 1509, 1510, 1511},
                                {1512, 0, 0, 0},
                                {1513, 0, 0, 0},
                                {1514, 1515, 1516, 1517},
                                {1518, 0, 0, 0},
                                {1519, 0, 0, 0},
                                {1520, 0, 0, 0},
                                {1521, 1522, 1523, 1524},
                                {1525, 0, 0, 0},
                                {1, 2, 3, 4},
                                {5, 6, 7, 8},
                                {9, 10, 11, 12},
                                {13, 14, 15, 16},
                                {17, 18, 19, 20},
                                {21, 22, 23, 24},
                                {25, 26, 27, 28},
                                {29, 30, 31, 32},
                                {33, 34, 35, 36},
                                {37, 38, 39, 40},
                                {41, 42, 43, 44},
                                {45, 46, 47, 48},
                                {49, 50, 51, 52},
                                {53, 54, 55, 56},
                                {57, 58, 59, 60},
                                {61, 62, 63, 64},
                                {65, 66, 67, 68},
                                {69, 70, 71, 72},
                                {73, 74, 75, 76},
                                {77, 78, 79, 80},
                                {81, 82, 83, 84},
                                {85, 0, 0, 0},
                                {86, 0, 0, 0},
                                {87, 0, 0, 0},
                                {88, 89, 90, 91},
                                {92, 0, 0, 0},
                                {93, 0, 0, 0},
                                {94, 0, 0, 0},
                                {95, 96, 97, 98},
                                {99, 0, 0, 0},
                                {100, 0, 0, 0},
                                {101, 0, 0, 0},
                                {102, 103, 104, 105},
                                {106, 107, 108, 109},
                                {110, 111, 112, 113},
                                {114, 115, 116, 117},
                                {118, 119, 120, 121},
                                {122, 0, 0, 0},
                                {123, 0, 0, 0},
                                {124, 0, 0, 0},
                                {125, 126, 127, 128},
                                {129, 0, 0, 0},
                                {130, 0, 0, 0},
                                {131, 0, 0, 0},
                                {132, 133, 134, 135},
                                {136, 0, 0, 0},
                                {137, 0, 0, 0},
                                {138, 0, 0, 0},
                                {139, 140, 141, 142},
                                {143, 144, 145, 146},
                                {147, 148, 149, 150},
                                {151, 152, 153, 154},
                                {155, 156, 157, 158},
                                {159, 0, 0, 0},
                                {160, 0, 0, 0},
                                {161, 0, 0, 0},
                                {162, 163, 164, 165},
                                {166, 0, 0, 0},
                                {167, 0, 0, 0},
                                {168, 0, 0, 0},
                                {169, 170, 171, 172},
                                {173, 0, 0, 0},
                                {174, 0, 0, 0},
                                {175, 0, 0, 0},
                                {176, 177, 178, 179},
                                {180, 181, 182, 183},
                                {184, 185, 186, 187},
                                {188, 189, 190, 191},
                                {192, 193, 194, 195},
                                {196, 197, 198, 199},
                                {200, 201, 202, 203},
                                {204, 205, 206, 207},
                                {208, 209, 210, 211},
                                {212, 213, 214, 215},
                                {216, 217, 218, 219},
                                {220, 221, 222, 223},
                                {224, 225, 226, 227},
                                {228, 229, 230, 231},
                                {232, 233, 234, 235},
                                {236, 237, 238, 239},
                                {240, 241, 242, 243},
                                {244, 245, 246, 247},
                                {248, 249, 250, 251},
                                {252, 253, 254, 255},
                                {256, 257, 258, 259},
                                {260, 261, 262, 263},
                                {264, 265, 266, 267},
                                {268, 269, 270, 271},
                                {272, 273, 274, 275},
                                {276, 277, 278, 279},
                                {280, 281, 282, 283},
                                {284, 285, 286, 287},
                                {288, 289, 290, 291},
                                {292, 293, 294, 295},
                                {296, 297, 298, 299},
                                {300, 301, 302, 303},
                                {304, 305, 306, 307},
                                {308, 309, 310, 311},
                                {312, 313, 314, 315},
                                {316, 317, 318, 319},
                                {320, 321, 322, 323},
                                {324, 325, 326, 327},
                                {328, 329, 330, 331},
                                {332, 333, 334, 335},
                                {336, 337, 338, 339},
                                {340, 341, 342, 343},
                                {344, 0, 0, 0},
                                {345, 0, 0, 0},
                                {346, 0, 0, 0},
                                {347, 348, 349, 350},
                                {351, 0, 0, 0},
                                {352, 0, 0, 0},
                                {353, 0, 0, 0},
                                {354, 355, 356, 357},
                                {358, 0, 0, 0},
                                {359, 0, 0, 0},
                                {360, 0, 0, 0},
                                {361, 362, 363, 364},
                                {365, 366, 367, 368},
                                {369, 370, 371, 372},
                                {373, 374, 375, 376},
                                {377, 378, 379, 380},
                                {381, 382, 383, 384},
                                {385, 386, 387, 388},
                                {389, 390, 391, 392},
                                {393, 0, 0, 0},
                                {394, 0, 0, 0},
                                {395, 0, 0, 0},
                                {396, 397, 398, 399},
                                {400, 0, 0, 0},
                                {401, 0, 0, 0},
                                {402, 403, 404, 405},
                                {406, 0, 0, 0},
                                {407, 0, 0, 0},
                                {408, 0, 0, 0},
                                {409, 410, 411, 412},
                                {413, 0, 0, 0},
                                {414, 0, 0, 0},
                                {415, 416, 417, 418},
                                {419, 420, 421, 422},
                                {423, 424, 425, 426},
                                {427, 428, 429, 430},
                                {431, 432, 433, 434},
                                {435, 0, 0, 0},
                                {436, 0, 0, 0},
                                {437, 0, 0, 0},
                                {438, 439, 440, 441},
                                {442, 0, 0, 0},
                                {443, 0, 0, 0},
                                {444, 0, 0, 0},
                                {445, 446, 447, 448},
                                {449, 0, 0, 0},
                                {450, 0, 0, 0},
                                {451, 0, 0, 0},
                                {452, 453, 454, 455},
                                {456, 457, 458, 459},
                                {460, 461, 462, 463},
                                {464, 465, 466, 467},
                                {468, 469, 470, 471},
                                {472, 473, 474, 475},
                                {476, 477, 478, 479},
                                {480, 481, 482, 483},
                                {484, 0, 0, 0},
                                {485, 0, 0, 0},
                                {486, 0, 0, 0},
                                {487, 488, 489, 490},
                                {491, 0, 0, 0},
                                {492, 0, 0, 0},
                                {493, 494, 495, 496},
                                {497, 0, 0, 0},
                                {498, 0, 0, 0},
                                {499, 0, 0, 0},
                                {500, 501, 502, 503},
                                {504, 0, 0, 0},
                                {505, 0, 0, 0},
                                {1526, 1527, 1528, 1529},
                                {1530, 1531, 1532, 1533},
                                {1534, 1535, 1536, 1537},
                                {1538, 1539, 1540, 1541},
                                {1542, 1543, 1544, 1545},
                                {1546, 1547, 1548, 1549},
                                {1550, 1551, 1552, 1553},
                                {1554, 1555, 1556, 1557},
                                {1558, 1559, 1560, 1561},
                                {1562, 1563, 1564, 1565},
                                {1566, 1567, 1568, 1569},
                                {1570, 1571, 1572, 1573},
                                {1574, 1575, 1576, 1577},
                                {1578, 1579, 1580, 1581},
                                {1582, 1583, 1584, 1585},
                                {1586, 1587, 1588, 1589},
                                {1590, 1591, 1592, 1593},
                                {1594, 1595, 1596, 1597},
                                {1598, 1599, 1600, 1601},
                                {1602, 1603, 1604, 1605},
                                {1606, 1607, 1608, 1609},
                                {1610, 0, 0, 0},
                                {1611, 0, 0, 0},
                                {1612, 0, 0, 0},
                                {1613, 1614, 1615, 1616},
                                {1617, 0, 0, 0},
                                {1618, 0, 0, 0},
                                {1619, 0, 0, 0},
                                {1620, 1621, 1622, 1623},
                                {1624, 0, 0, 0},
                                {1625, 0, 0, 0},
                                {1626, 0, 0, 0},
                                {1627, 1628, 1629, 1630},
                                {1631, 1632, 1633, 1634},
                                {1635, 1636, 1637, 1638},
                                {1639, 1640, 1641, 1642},
                                {1643, 1644, 1645, 1646},
                                {1647, 0, 0, 0},
                                {1648, 0, 0, 0},
                                {1649, 0, 0, 0},
                                {1650, 1651, 1652, 1653},
                                {1654, 0, 0, 0},
                                {1655, 0, 0, 0},
                                {1656, 0, 0, 0},
                                {1657, 1658, 1659, 1660},
                                {1661, 0, 0, 0},
                                {1662, 0, 0, 0},
                                {1663, 0, 0, 0},
                                {1664, 1665, 1666, 1667},
                                {1668, 1669, 1670, 1671},
                                {1672, 1673, 1674, 1675},
                                {1676, 1677, 1678, 1679},
                                {1680, 1681, 1682, 1683},
                                {1684, 0, 0, 0},
                                {1685, 0, 0, 0},
                                {1686, 0, 0, 0},
                                {1687, 1688, 1689, 1690},
                                {1691, 0, 0, 0},
                                {1692, 0, 0, 0},
                                {1693, 0, 0, 0},
                                {1694, 1695, 1696, 1697},
                                {1698, 0, 0, 0},
                                {1699, 0, 0, 0},
                                {1700, 0, 0, 0},
                                {1701, 1702, 1703, 1704},
                                {1705, 1706, 1707, 1708},
                                {1709, 1710, 1711, 1712},
                                {1713, 1714, 1715, 1716},
                                {1717, 1718, 1719, 1720},
                                {1721, 1722, 1723, 1724},
                                {1725, 1726, 1727, 1728},
                                {1729, 1730, 1731, 1732},
                                {1733, 1734, 1735, 1736},
                                {1737, 1738, 1739, 1740},
                                {1741, 1742, 1743, 1744},
                                {1745, 1746, 1747, 1748},
                                {1749, 1750, 1751, 1752},
                                {1753, 1754, 1755, 1756},
                                {1757, 1758, 1759, 1760},
                                {1761, 1762, 1763, 1764},
                                {1765, 1766, 1767, 1768},
                                {1769, 1770, 1771, 1772},
                                {1773, 1774, 1775, 1776},
                                {1777, 1778, 1779, 1780},
                                {1781, 1782, 1783, 1784},
                                {1785, 0, 0, 0},
                                {1786, 0, 0, 0},
                                {1787, 0, 0, 0},
                                {1788, 1789, 1790, 1791},
                                {1792, 0, 0, 0},
                                {1793, 0, 0, 0},
                                {1794, 0, 0, 0},
                                {1795, 1796, 1797, 1798},
                                {1799, 0, 0, 0},
                                {1800, 0, 0, 0},
                                {1801, 0, 0, 0},
                                {1802, 1803, 1804, 1805},
                                {1806, 1807, 1808, 1809},
                                {1810, 1811, 1812, 1813},
                                {1814, 1815, 1816, 1817},
                                {1818, 1819, 1820, 1821},
                                {1822, 0, 0, 0},
                                {1823, 0, 0, 0},
                                {1824, 0, 0, 0},
                                {1825, 1826, 1827, 1828},
                                {1829, 0, 0, 0},
                                {1830, 0, 0, 0},
                                {1831, 0, 0, 0},
                                {1832, 1833, 1834, 1835},
                                {1836, 0, 0, 0},
                                {1837, 0, 0, 0},
                                {1838, 0, 0, 0},
                                {1839, 1840, 1841, 1842},
                                {1843, 1844, 1845, 1846},
                                {1847, 1848, 1849, 1850},
                                {1851, 1852, 1853, 1854},
                                {1855, 1856, 1857, 1858},
                                {1859, 1860, 1861, 1862},
                                {1863, 1864, 1865, 1866},
                                {1867, 1868, 1869, 1870},
                                {1871, 1872, 1873, 1874},
                                {1875, 1876, 1877, 1878},
                                {1879, 1880, 1881, 1882},
                                {1883, 1884, 1885, 1886},
                                {1887, 1888, 1889, 1890},
                                {1891, 1892, 1893, 1894},
                                {1895, 1896, 1897, 1898},
                                {1899, 1900, 1901, 1902},
                                {1903, 1904, 1905, 1906},
                                {1907, 1908, 1909, 1910},
                                {1911, 1912, 1913, 1914},
                                {1915, 1916, 1917, 1918},
                                {1919, 1920, 1921, 1922},
                                {1923, 1924, 1925, 1926},
                                {1927, 1928, 1929, 1930},
                                {1931, 1932, 1933, 1934},
                                {1935, 1936, 1937, 1938},
                                {1939, 1940, 1941, 1942},
                                {1943, 1944, 1945, 1946},
                                {1947, 1948, 1949, 1950},
                                {1951, 1952, 1953, 1954},
                                {1955, 1956, 1957, 1958},
                                {1959, 1960, 1961, 1962},
                                {1963, 1964, 1965, 1966},
                                {1967, 1968, 1969, 1970},
                                {1971, 1972, 1973, 1974},
                                {1975, 1976, 1977, 1978},
                                {1979, 1980, 1981, 1982},
                                {1983, 1984, 1985, 1986},
                                {1987, 1988, 1989, 1990},
                                {1991, 1992, 1993, 1994},
                                {1995, 1996, 1997, 1998},
                                {1999, 2000, 2001, 2002},
                                {2003, 2004, 2005, 2006},
                                {2007, 2008, 2009, 2010},
                                {2011, 2012, 2013, 2014},
                                {2015, 2016, 2017, 2018},
                                {2019, 2020, 2021, 2022},
                                {2023, 2024, 2025, 2026},
                                {2027, 2028, 2029, 2030},
                                {2031, 2032, 2033, 2034},
                                {2035, 2036, 2037, 2038},
                                {2039, 2040, 2041, 2042},
                                {2043, 2044, 2045, 2046},
                                {2047, 2048, 2049, 2050},
                                {2051, 2052, 2053, 2054},
                                {2055, 2056, 2057, 2058},
                                {2059, 2060, 2061, 2062},
                                {2063, 2064, 2065, 2066},
                                {2067, 2068, 2069, 2070},
                                {2071, 2072, 2073, 2074},
                                {2075, 2076, 2077, 2078},
                                {2079, 2080, 2081, 2082},
                                {2083, 2084, 2085, 2086},
                                {2087, 2088, 2089, 2090},
                                {2091, 2092, 2093, 2094},
                                {2095, 2096, 2097, 2098},
                                {2099, 2100, 2101, 2102},
                                {2103, 2104, 2105, 2106},
                                {2107, 2108, 2109, 2110},
                                {2111, 2112, 2113, 2114},
                                {2115, 2116, 2117, 2118},
                                {2119, 2120, 2121, 2122},
                                {2123, 2124, 2125, 2126},
                                {2127, 0, 0, 0},
                                {2128, 0, 0, 0},
                                {2129, 0, 0, 0},
                                {2130, 2131, 2132, 2133},
                                {2134, 0, 0, 0},
                                {2135, 0, 0, 0},
                                {2136, 0, 0, 0},
                                {2137, 2138, 2139, 2140},
                                {2141, 0, 0, 0},
                                {2142, 0, 0, 0},
                                {2143, 0, 0, 0},
                                {2144, 2145, 2146, 2147},
                                {2148, 2149, 2150, 2151},
                                {2152, 2153, 2154, 2155},
                                {2156, 2157, 2158, 2159},
                                {2160, 2161, 2162, 2163},
                                {2164, 2165, 2166, 2167},
                                {2168, 2169, 2170, 2171},
                                {2172, 2173, 2174, 2175},
                                {2176, 0, 0, 0},
                                {2177, 0, 0, 0},
                                {2178, 0, 0, 0},
                                {2179, 2180, 2181, 2182},
                                {2183, 0, 0, 0},
                                {2184, 0, 0, 0},
                                {2185, 2186, 2187, 2188},
                                {2189, 0, 0, 0},
                                {2190, 0, 0, 0},
                                {2191, 0, 0, 0},
                                {2192, 2193, 2194, 2195},
                                {2196, 0, 0, 0},
                                {2197, 0, 0, 0},
                                {2198, 2199, 2200, 2201},
                                {2202, 2203, 2204, 2205},
                                {2206, 2207, 2208, 2209},
                                {2210, 2211, 2212, 2213},
                                {2214, 2215, 2216, 2217},
                                {2218, 0, 0, 0},
                                {2219, 0, 0, 0},
                                {2220, 0, 0, 0},
                                {2221, 2222, 2223, 2224},
                                {2225, 0, 0, 0},
                                {2226, 0, 0, 0},
                                {2227, 0, 0, 0},
                                {2228, 2229, 2230, 2231},
                                {2232, 0, 0, 0},
                                {2233, 0, 0, 0},
                                {2234, 0, 0, 0},
                                {2235, 2236, 2237, 2238},
                                {2239, 2240, 2241, 2242},
                                {2243, 2244, 2245, 2246},
                                {2247, 2248, 2249, 2250},
                                {2251, 2252, 2253, 2254},
                                {2255, 2256, 2257, 2258},
                                {2259, 2260, 2261, 2262},
                                {2263, 2264, 2265, 2266},
                                {2267, 0, 0, 0},
                                {2268, 0, 0, 0},
                                {2269, 0, 0, 0},
                                {2270, 2271, 2272, 2273},
                                {2274, 0, 0, 0},
                                {2275, 0, 0, 0},
                                {506, 507, 508, 509},
                                {510, 511, 512, 513},
                                {514, 515, 516, 517},
                                {518, 519, 520, 521},
                                {522, 523, 524, 525},
                                {526, 527, 528, 529},
                                {530, 531, 532, 533},
                                {534, 535, 536, 537},
                                {538, 539, 540, 541},
                                {542, 543, 544, 545},
                                {546, 547, 548, 549},
                                {550, 551, 552, 553},
                                {554, 555, 556, 557},
                                {558, 559, 560, 561},
                                {562, 563, 564, 565},
                                {566, 567, 568, 569},
                                {570, 571, 572, 573},
                                {574, 575, 576, 577},
                                {578, 579, 580, 581},
                                {582, 583, 584, 585},
                                {586, 587, 588, 589},
                                {590, 0, 0, 0},
                                {591, 0, 0, 0},
                                {592, 0, 0, 0},
                                {593, 594, 595, 596},
                                {597, 0, 0, 0},
                                {598, 0, 0, 0},
                                {599, 0, 0, 0},
                                {600, 601, 602, 603},
                                {604, 0, 0, 0},
                                {605, 0, 0, 0},
                                {606, 0, 0, 0},
                                {607, 608, 609, 610},
                                {611, 612, 613, 614},
                                {615, 616, 617, 618},
                                {619, 620, 621, 622},
                                {623, 624, 625, 626},
                                {627, 0, 0, 0},
                                {628, 0, 0, 0},
                                {629, 0, 0, 0},
                                {630, 631, 632, 633},
                                {634, 0, 0, 0},
                                {635, 0, 0, 0},
                                {636, 0, 0, 0},
                                {637, 638, 639, 640},
                                {641, 0, 0, 0},
                                {642, 0, 0, 0},
                                {643, 0, 0, 0},
                                {644, 645, 646, 647},
                                {648, 649, 650, 651},
                                {652, 653, 654, 655},
                                {656, 657, 658, 659},
                                {660, 661, 662, 663},
                                {664, 0, 0, 0},
                                {665, 0, 0, 0},
                                {666, 0, 0, 0},
                                {667, 668, 669, 670},
                                {671, 0, 0, 0},
                                {672, 0, 0, 0},
                                {673, 0, 0, 0},
                                {674, 675, 676, 677},
                                {678, 0, 0, 0},
                                {679, 0, 0, 0},
                                {680, 0, 0, 0},
                                {681, 682, 683, 684},
                                {685, 686, 687, 688},
                                {689, 690, 691, 692},
                                {693, 694, 695, 696},
                                {697, 698, 699, 700},
                                {701, 702, 703, 704},
                                {705, 706, 707, 708},
                                {709, 710, 711, 712},
                                {713, 714, 715, 716},
                                {717, 718, 719, 720},
                                {721, 722, 723, 724},
                                {725, 726, 727, 728},
                                {729, 730, 731, 732},
                                {733, 734, 735, 736},
                                {737, 738, 739, 740},
                                {741, 742, 743, 744},
                                {745, 746, 747, 748},
                                {749, 750, 751, 752},
                                {753, 754, 755, 756},
                                {757, 758, 759, 760},
                                {761, 762, 763, 764},
                                {765, 766, 767, 768},
                                {769, 770, 771, 772},
                                {773, 774, 775, 776},
                                {777, 778, 779, 780},
                                {781, 782, 783, 784},
                                {785, 786, 787, 788},
                                {789, 790, 791, 792},
                                {793, 794, 795, 796},
                                {797, 798, 799, 800},
                                {801, 802, 803, 804},
                                {805, 806, 807, 808},
                                {809, 810, 811, 812},
                                {813, 0, 0, 0},
                                {814, 0, 0, 0},
                                {815, 0, 0, 0},
                                {816, 817, 818, 819},
                                {820, 0, 0, 0},
                                {821, 0, 0, 0},
                                {822, 0, 0, 0},
                                {823, 824, 825, 826},
                                {827, 0, 0, 0},
                                {828, 0, 0, 0},
                                {829, 0, 0, 0},
                                {830, 831, 832, 833},
                                {834, 835, 836, 837},
                                {838, 839, 840, 841},
                                {842, 843, 844, 845},
                                {846, 847, 848, 849},
                                {850, 0, 0, 0},
                                {851, 0, 0, 0},
                                {852, 0, 0, 0},
                                {853, 854, 855, 856},
                                {857, 0, 0, 0},
                                {858, 0, 0, 0},
                                {859, 0, 0, 0},
                                {860, 861, 862, 863},
                                {864, 865, 866, 867},
                                {868, 869, 870, 871},
                                {872, 873, 874, 875},
                                {876, 877, 878, 879},
                                {880, 0, 0, 0},
                                {881, 0, 0, 0},
                                {882, 0, 0, 0},
                                {883, 884, 885, 886},
                                {887, 0, 0, 0},
                                {888, 0, 0, 0},
                                {889, 0, 0, 0},
                                {890, 891, 892, 893},
                                {894, 0, 0, 0},
                                {895, 0, 0, 0},
                                {896, 0, 0, 0},
                                {897, 898, 899, 900},
                                {901, 902, 903, 904},
                                {905, 906, 907, 908},
                                {909, 910, 911, 912},
                                {913, 914, 915, 916},
                                {917, 0, 0, 0},
                                {918, 0, 0, 0},
                                {919, 0, 0, 0},
                                {920, 921, 922, 923},
                                {924, 0, 0, 0},
                                {925, 0, 0, 0},
                                {926, 0, 0, 0},
                                {1526, 1527, 1528, 1529},
                                {1530, 1531, 1532, 1533},
                                {1534, 1535, 1536, 1537},
                                {1538, 1539, 1540, 1541},
                                {1542, 1543, 1544, 1545},
                                {1546, 1547, 1548, 1549},
                                {1550, 1551, 1552, 1553},
                                {1554, 1555, 1556, 1557},
                                {1558, 1559, 1560, 1561},
                                {1562, 1563, 1564, 1565},
                                {1566, 1567, 1568, 1569},
                                {1570, 1571, 1572, 1573},
                                {1574, 1575, 1576, 1577},
                                {1578, 1579, 1580, 1581},
                                {1582, 1583, 1584, 1585},
                                {1586, 1587, 1588, 1589},
                                {1590, 1591, 1592, 1593},
                                {1594, 1595, 1596, 1597},
                                {1598, 1599, 1600, 1601},
                                {1602, 1603, 1604, 1605},
                                {1606, 1607, 1608, 1609},
                                {1610, 0, 0, 0},
                                {1611, 0, 0, 0},
                                {1612, 0, 0, 0},
                                {1613, 1614, 1615, 1616},
                                {1617, 0, 0, 0},
                                {1618, 0, 0, 0},
                                {1619, 0, 0, 0},
                                {1620, 1621, 1622, 1623},
                                {1624, 0, 0, 0},
                                {1625, 0, 0, 0},
                                {1626, 0, 0, 0},
                                {1627, 1628, 1629, 1630},
                                {1631, 1632, 1633, 1634},
                                {1635, 1636, 1637, 1638},
                                {1639, 1640, 1641, 1642},
                                {1643, 1644, 1645, 1646},
                                {1647, 0, 0, 0},
                                {1648, 0, 0, 0},
                                {1649, 0, 0, 0},
                                {1650, 1651, 1652, 1653},
                                {1654, 0, 0, 0},
                                {1655, 0, 0, 0},
                                {1656, 0, 0, 0},
                                {1657, 1658, 1659, 1660},
                                {1661, 0, 0, 0},
                                {1662, 0, 0, 0},
                                {1663, 0, 0, 0},
                                {1664, 1665, 1666, 1667},
                                {1668, 1669, 1670, 1671},
                                {1672, 1673, 1674, 1675},
                                {1676, 1677, 1678, 1679},
                                {1680, 1681, 1682, 1683},
                                {1684, 0, 0, 0},
                                {1685, 0, 0, 0},
                                {1686, 0, 0, 0},
                                {1687, 1688, 1689, 1690},
                                {1691, 0, 0, 0},
                                {1692, 0, 0, 0},
                                {1693, 0, 0, 0},
                                {1694, 1695, 1696, 1697},
                                {1698, 0, 0, 0},
                                {1699, 0, 0, 0},
                                {1700, 0, 0, 0},
                                {1701, 1702, 1703, 1704},
                                {1705, 1706, 1707, 1708},
                                {1709, 1710, 1711, 1712},
                                {1713, 1714, 1715, 1716},
                                {1717, 1718, 1719, 1720},
                                {1721, 1722, 1723, 1724},
                                {1725, 1726, 1727, 1728},
                                {1729, 1730, 1731, 1732},
                                {1733, 1734, 1735, 1736},
                                {1737, 1738, 1739, 1740},
                                {1741, 1742, 1743, 1744},
                                {1745, 1746, 1747, 1748},
                                {1749, 1750, 1751, 1752},
                                {1753, 1754, 1755, 1756},
                                {1757, 1758, 1759, 1760},
                                {1761, 1762, 1763, 1764},
                                {1765, 1766, 1767, 1768},
                                {1769, 1770, 1771, 1772},
                                {1773, 1774, 1775, 1776},
                                {1777, 1778, 1779, 1780},
                                {1781, 1782, 1783, 1784},
                                {1785, 0, 0, 0},
                                {1786, 0, 0, 0},
                                {1787, 0, 0, 0},
                                {1788, 1789, 1790, 1791},
                                {1792, 0, 0, 0},
                                {1793, 0, 0, 0},
                                {1794, 0, 0, 0},
                                {1795, 1796, 1797, 1798},
                                {1799, 0, 0, 0},
                                {1800, 0, 0, 0},
                                {1801, 0, 0, 0},
                                {1802, 1803, 1804, 1805},
                                {1806, 1807, 1808, 1809},
                                {1810, 1811, 1812, 1813},
                                {1814, 1815, 1816, 1817},
                                {1818, 1819, 1820, 1821},
                                {1822, 0, 0, 0},
                                {1823, 0, 0, 0},
                                {1824, 0, 0, 0},
                                {1825, 1826, 1827, 1828},
                                {1829, 0, 0, 0},
                                {1830, 0, 0, 0},
                                {1831, 0, 0, 0},
                                {1832, 1833, 1834, 1835},
                                {1836, 0, 0, 0},
                                {1837, 0, 0, 0},
                                {1838, 0, 0, 0},
                                {2276, 2277, 2278, 2279},
                                {2280, 2281, 2282, 2283},
                                {2284, 2285, 2286, 2287},
                                {2288, 2289, 2290, 2291},
                                {2292, 2293, 2294, 2295},
                                {2296, 2297, 2298, 2299},
                                {2300, 2301, 2302, 2303},
                                {2304, 2305, 2306, 2307},
                                {2308, 2309, 2310, 2311},
                                {2312, 2313, 2314, 2315},
                                {2316, 2317, 2318, 2319},
                                {2320, 2321, 2322, 2323},
                                {2324, 2325, 2326, 2327},
                                {2328, 2329, 2330, 2331},
                                {2332, 2333, 2334, 2335},
                                {2336, 2337, 2338, 2339},
                                {2340, 2341, 2342, 2343},
                                {2344, 2345, 2346, 2347},
                                {2348, 2349, 2350, 2351},
                                {2352, 2353, 2354, 2355},
                                {2356, 2357, 2358, 2359},
                                {2360, 2361, 2362, 2363},
                                {2364, 2365, 2366, 2367},
                                {2368, 2369, 2370, 2371},
                                {2372, 2373, 2374, 2375},
                                {2376, 2377, 2378, 2379},
                                {2380, 2381, 2382, 2383},
                                {2384, 2385, 2386, 2387},
                                {2388, 2389, 2390, 2391},
                                {2392, 2393, 2394, 2395},
                                {2396, 2397, 2398, 2399},
                                {2400, 2401, 2402, 2403},
                                {2404, 2405, 2406, 2407},
                                {2408, 2409, 2410, 2411},
                                {2412, 2413, 2414, 2415},
                                {2416, 2417, 2418, 2419},
                                {2420, 2421, 2422, 2423},
                                {2424, 2425, 2426, 2427},
                                {2428, 2429, 2430, 2431},
                                {2432, 2433, 2434, 2435},
                                {2436, 2437, 2438, 2439},
                                {2440, 2441, 2442, 2443},
                                {2444, 2445, 2446, 2447},
                                {2448, 2449, 2450, 2451},
                                {2452, 2453, 2454, 2455},
                                {2456, 2457, 2458, 2459},
                                {2460, 2461, 2462, 2463},
                                {2464, 2465, 2466, 2467},
                                {2468, 2469, 2470, 2471},
                                {2472, 2473, 2474, 2475},
                                {2476, 2477, 2478, 2479},
                                {2480, 2481, 2482, 2483},
                                {2484, 2485, 2486, 2487},
                                {2488, 2489, 2490, 2491},
                                {2492, 2493, 2494, 2495},
                                {2496, 2497, 2498, 2499},
                                {2500, 2501, 2502, 2503},
                                {2504, 0, 0, 0},
                                {2505, 0, 0, 0},
                                {2506, 0, 0, 0},
                                {2507, 2508, 2509, 2510},
                                {2511, 0, 0, 0},
                                {2512, 0, 0, 0},
                                {2513, 0, 0, 0},
                                {2514, 2515, 2516, 2517},
                                {2518, 0, 0, 0},
                                {2519, 0, 0, 0},
                                {2520, 0, 0, 0},
                                {2521, 2522, 2523, 2524},
                                {2525, 2526, 2527, 2528},
                                {2529, 2530, 2531, 2532},
                                {2533, 2534, 2535, 2536},
                                {2537, 2538, 2539, 2540},
                                {2541, 0, 0, 0},
                                {2542, 0, 0, 0},
                                {2543, 0, 0, 0},
                                {2544, 2545, 2546, 2547},
                                {2548, 0, 0, 0},
                                {2549, 0, 0, 0},
                                {2550, 0, 0, 0},
                                {2551, 2552, 2553, 2554},
                                {2555, 2556, 2557, 2558},
                                {2559, 2560, 2561, 2562},
                                {2563, 2564, 2565, 2566},
                                {2567, 2568, 2569, 2570},
                                {2571, 0, 0, 0},
                                {2572, 0, 0, 0},
                                {2573, 0, 0, 0},
                                {2574, 2575, 2576, 2577},
                                {2578, 0, 0, 0},
                                {2579, 0, 0, 0},
                                {2580, 0, 0, 0},
                                {2581, 2582, 2583, 2584},
                                {2585, 0, 0, 0},
                                {2586, 0, 0, 0},
                                {2587, 0, 0, 0},
                                {2588, 2589, 2590, 2591},
                                {2592, 2593, 2594, 2595},
                                {2596, 2597, 2598, 2599},
                                {2600, 2601, 2602, 2603},
                                {2604, 2605, 2606, 2607},
                                {2608, 0, 0, 0},
                                {2609, 0, 0, 0},
                                {2610, 0, 0, 0},
                                {927, 928, 929, 930},
                                {931, 932, 933, 934},
                                {935, 936, 937, 938},
                                {939, 940, 941, 942},
                                {943, 944, 945, 946},
                                {947, 948, 949, 950},
                                {951, 952, 953, 954},
                                {955, 956, 957, 958},
                                {959, 960, 961, 962},
                                {963, 964, 965, 966},
                                {967, 968, 969, 970},
                                {971, 972, 973, 974},
                                {975, 976, 977, 978},
                                {979, 980, 981, 982},
                                {983, 984, 985, 986},
                                {987, 988, 989, 990},
                                {991, 992, 993, 994},
                                {995, 996, 997, 998},
                                {999, 1000, 1001, 1002},
                                {1003, 1004, 1005, 1006},
                                {1007, 1008, 1009, 1010},
                                {1011, 1012, 1013, 1014},
                                {1015, 1016, 1017, 1018},
                                {1019, 1020, 1021, 1022},
                                {1023, 1024, 1025, 1026},
                                {1027, 1028, 1029, 1030},
                                {1031, 1032, 1033, 1034},
                                {1035, 1036, 1037, 1038},
                                {1039, 1040, 1041, 1042},
                                {1043, 1044, 1045, 1046},
                                {1047, 1048, 1049, 1050},
                                {1051, 1052, 1053, 1054},
                                {1055, 1056, 1057, 1058},
                                {1059, 1060, 1061, 1062},
                                {1063, 1064, 1065, 1066},
                                {1067, 1068, 1069, 1070},
                                {1071, 1072, 1073, 1074},
                                {1075, 1076, 1077, 1078},
                                {1079, 1080, 1081, 1082},
                                {1083, 1084, 1085, 1086},
                                {1087, 1088, 1089, 1090},
                                {1091, 1092, 1093, 1094},
                                {1095, 1096, 1097, 1098},
                                {1099, 1100, 1101, 1102},
                                {1103, 1104, 1105, 1106},
                                {1107, 1108, 1109, 1110},
                                {1111, 1112, 1113, 1114},
                                {1115, 1116, 1117, 1118},
                                {1119, 1120, 1121, 1122},
                                {1123, 1124, 1125, 1126},
                                {1127, 1128, 1129, 1130},
                                {1131, 1132, 1133, 1134},
                                {1135, 1136, 1137, 1138},
                                {1139, 1140, 1141, 1142},
                                {1143, 1144, 1145, 1146},
                                {1147, 1148, 1149, 1150},
                                {1151, 1152, 1153, 1154},
                                {1155, 1156, 1157, 1158},
                                {1159, 1160, 1161, 1162},
                                {1163, 1164, 1165, 1166},
                                {1167, 1168, 1169, 1170},
                                {1171, 1172, 1173, 1174},
                                {1175, 1176, 1177, 1178},
                                {1179, 1180, 1181, 1182},
                                {1183, 1184, 1185, 1186},
                                {1187, 1188, 1189, 1190},
                                {1191, 1192, 1193, 1194},
                                {1195, 1196, 1197, 1198},
                                {1199, 1200, 1201, 1202},
                                {1203, 1204, 1205, 1206},
                                {1207, 1208, 1209, 1210},
                                {1211, 1212, 1213, 1214},
                                {1215, 1216, 1217, 1218},
                                {1219, 1220, 1221, 1222},
                                {1223, 1224, 1225, 1226},
                                {1227, 1228, 1229, 1230},
                                {1231, 1232, 1233, 1234},
                                {1235, 1236, 1237, 1238},
                                {1239, 1240, 1241, 1242},
                                {1243, 1244, 1245, 1246},
                                {1247, 1248, 1249, 1250},
                                {1251, 1252, 1253, 1254},
                                {1255, 1256, 1257, 1258},
                                {1259, 1260, 1261, 1262},
                                {1263, 1264, 1265, 1266},
                                {1267, 1268, 1269, 1270},
                                {1271, 1272, 1273, 1274},
                                {1275, 1276, 1277, 1278},
                                {1279, 1280, 1281, 1282},
                                {1283, 1284, 1285, 1286},
                                {1287, 1288, 1289, 1290},
                                {1839, 1840, 1841, 1842},
                                {1843, 1844, 1845, 1846},
                                {1847, 1848, 1849, 1850},
                                {1851, 1852, 1853, 1854},
                                {1855, 1856, 1857, 1858},
                                {1859, 1860, 1861, 1862},
                                {1863, 1864, 1865, 1866},
                                {1867, 1868, 1869, 1870},
                                {1871, 1872, 1873, 1874},
                                {1875, 1876, 1877, 1878},
                                {1879, 1880, 1881, 1882},
                                {1883, 1884, 1885, 1886},
                                {1887, 1888, 1889, 1890},
                                {1891, 1892, 1893, 1894},
                                {1895, 1896, 1897, 1898},
                                {1899, 1900, 1901, 1902},
                                {1903, 1904, 1905, 1906},
                                {1907, 1908, 1909, 1910},
                                {1911, 1912, 1913, 1914},
                                {1915, 1916, 1917, 1918},
                                {1919, 1920, 1921, 1922},
                                {1923, 1924, 1925, 1926},
                                {1927, 1928, 1929, 1930},
                                {1931, 1932, 1933, 1934},
                                {1935, 1936, 1937, 1938},
                                {1939, 1940, 1941, 1942},
                                {1943, 1944, 1945, 1946},
                                {1947, 1948, 1949, 1950},
                                {1951, 1952, 1953, 1954},
                                {1955, 1956, 1957, 1958},
                                {1959, 1960, 1961, 1962},
                                {1963, 1964, 1965, 1966},
                                {1967, 1968, 1969, 1970},
                                {1971, 1972, 1973, 1974},
                                {1975, 1976, 1977, 1978},
                                {1979, 1980, 1981, 1982},
                                {1983, 1984, 1985, 1986},
                                {1987, 1988, 1989, 1990},
                                {1991, 1992, 1993, 1994},
                                {1995, 1996, 1997, 1998},
                                {1999, 2000, 2001, 2002},
                                {2003, 2004, 2005, 2006},
                                {2007, 2008, 2009, 2010},
                                {2011, 2012, 2013, 2014},
                                {2015, 2016, 2017, 2018},
                                {2019, 2020, 2021, 2022},
                                {2023, 2024, 2025, 2026},
                                {2027, 2028, 2029, 2030},
                                {2031, 2032, 2033, 2034},
                                {2035, 2036, 2037, 2038},
                                {2039, 2040, 2041, 2042},
                                {2043, 2044, 2045, 2046},
                                {2047, 2048, 2049, 2050},
                                {2051, 2052, 2053, 2054},
                                {2055, 2056, 2057, 2058},
                                {2059, 2060, 2061, 2062},
                                {2063, 2064, 2065, 2066},
                                {2067, 2068, 2069, 2070},
                                {2071, 2072, 2073, 2074},
                                {2075, 2076, 2077, 2078},
                                {2079, 2080, 2081, 2082},
                                {2083, 2084, 2085, 2086},
                                {2087, 2088, 2089, 2090},
                                {2091, 2092, 2093, 2094},
                                {2095, 2096, 2097, 2098},
                                {2099, 2100, 2101, 2102},
                                {2103, 2104, 2105, 2106},
                                {2276, 2277, 2278, 2279},
                                {2280, 2281, 2282, 2283},
                                {2284, 2285, 2286, 2287},
                                {2288, 2289, 2290, 2291},
                                {2292, 2293, 2294, 2295},
                                {2296, 2297, 2298, 2299},
                                {2300, 2301, 2302, 2303},
                                {2304, 2305, 2306, 2307},
                                {2308, 2309, 2310, 2311},
                                {2312, 2313, 2314, 2315},
                                {2316, 2317, 2318, 2319},
                                {2320, 2321, 2322, 2323},
                                {2324, 2325, 2326, 2327},
                                {2328, 2329, 2330, 2331},
                                {2332, 2333, 2334, 2335},
                                {2336, 2337, 2338, 2339},
                                {2340, 2341, 2342, 2343},
                                {2344, 2345, 2346, 2347},
                                {2348, 2349, 2350, 2351},
                                {2352, 2353, 2354, 2355},
                                {2356, 2357, 2358, 2359},
                                {2360, 2361, 2362, 2363},
                                {2364, 2365, 2366, 2367},
                                {2368, 2369, 2370, 2371},
                                {2372, 2373, 2374, 2375},
                                {2376, 2377, 2378, 2379},
                                {2380, 2381, 2382, 2383},
                                {2384, 2385, 2386, 2387},
                                {2388, 2389, 2390, 2391},
                                {2392, 2393, 2394, 2395},
                                {2396, 2397, 2398, 2399},
                                {2400, 2401, 2402, 2403},
                                {2404, 2405, 2406, 2407},
                                {2408, 2409, 2410, 2411},
                                {2412, 2413, 2414, 2415},
                                {2416, 2417, 2418, 2419},
                                {2420, 2421, 2422, 2423},
                                {2424, 2425, 2426, 2427},
                                {2428, 2429, 2430, 2431},
                                {2432, 2433, 2434, 2435},
                                {2436, 2437, 2438, 2439},
                                {2440, 2441, 2442, 2443},
                                {2444, 2445, 2446, 2447},
                                {2448, 2449, 2450, 2451},
                                {2452, 2453, 2454, 2455},
                                {2456, 2457, 2458, 2459},
                                {2460, 2461, 2462, 2463},
                                {2464, 2465, 2466, 2467},
                                {2468, 2469, 2470, 2471},
                                {2472, 2473, 2474, 2475},
                                {2476, 2477, 2478, 2479},
                                {2480, 2481, 2482, 2483},
                                {2611, 2612, 2613, 2614},
                                {2615, 2616, 2617, 2618},
                                {2619, 2620, 2621, 2622},
                                {2623, 2624, 2625, 2626},
                                {2627, 2628, 2629, 2630},
                                {2631, 2632, 2633, 2634},
                                {2635, 2636, 2637, 2638},
                                {2639, 2640, 2641, 2642},
                                {2643, 2644, 2645, 2646},
                                {2647, 2648, 2649, 2650},
                                {2651, 2652, 2653, 2654},
                                {2655, 2656, 2657, 2658},
                                {2659, 2660, 2661, 2662},
                                {2663, 2664, 2665, 2666},
                                {2667, 2668, 2669, 2670},
                                {2671, 2672, 2673, 2674},
                                {2675, 2676, 2677, 2678},
                                {2679, 2680, 2681, 2682},
                                {2683, 2684, 2685, 2686},
                                {2687, 2688, 2689, 2690},
                                {2691, 2692, 2693, 2694},
                                {2695, 2696, 2697, 2698},
                                {2699, 2700, 2701, 2702},
                                {2703, 2704, 2705, 2706},
                                {2707, 2708, 2709, 2710},
                                {1, 2, 3, 4},
                                {5, 6, 7, 8},
                                {9, 10, 11, 12},
                                {13, 14, 15, 16},
                                {17, 18, 19, 20},
                                {21, 22, 23, 24},
                                {25, 26, 27, 28},
                                {29, 30, 31, 32},
                                {33, 34, 35, 36},
                                {37, 38, 39, 40},
                                {41, 42, 43, 44},
                                {45, 46, 47, 48},
                                {49, 50, 51, 52},
                                {53, 54, 55, 56},
                                {57, 58, 59, 60},
                                {61, 62, 63, 64},
                                {65, 66, 67, 68},
                                {69, 70, 71, 72},
                                {73, 74, 75, 76},
                                {77, 78, 79, 80},
                                {81, 82, 83, 84},
                                {85, 0, 0, 0},
                                {86, 0, 0, 0},
                                {87, 0, 0, 0},
                                {88, 89, 90, 91},
                                {92, 0, 0, 0},
                                {93, 0, 0, 0},
                                {94, 0, 0, 0},
                                {95, 96, 97, 98},
                                {99, 0, 0, 0},
                                {100, 0, 0, 0},
                                {101, 0, 0, 0},
                                {102, 103, 104, 105},
                                {106, 107, 108, 109},
                                {110, 111, 112, 113},
                                {114, 115, 116, 117},
                                {118, 119, 120, 121},
                                {122, 0, 0, 0},
                                {123, 0, 0, 0},
                                {124, 0, 0, 0},
                                {125, 126, 127, 128},
                                {129, 0, 0, 0},
                                {130, 0, 0, 0},
                                {131, 0, 0, 0},
                                {132, 133, 134, 135},
                                {136, 0, 0, 0},
                                {137, 0, 0, 0},
                                {138, 0, 0, 0},
                                {139, 140, 141, 142},
                                {143, 144, 145, 146},
                                {147, 148, 149, 150},
                                {151, 152, 153, 154},
                                {155, 156, 157, 158},
                                {159, 0, 0, 0},
                                {160, 0, 0, 0},
                                {161, 0, 0, 0},
                                {162, 163, 164, 165},
                                {166, 0, 0, 0},
                                {167, 0, 0, 0},
                                {168, 0, 0, 0},
                                {169, 170, 171, 172},
                                {173, 0, 0, 0},
                                {174, 0, 0, 0},
                                {175, 0, 0, 0},
                                {176, 177, 178, 179},
                                {180, 181, 182, 183},
                                {184, 185, 186, 187},
                                {188, 189, 190, 191},
                                {192, 193, 194, 195},
                                {196, 197, 198, 199},
                                {200, 201, 202, 203},
                                {204, 205, 206, 207},
                                {208, 209, 210, 211},
                                {212, 213, 214, 215},
                                {216, 217, 218, 219},
                                {220, 221, 222, 223},
                                {224, 225, 226, 227},
                                {228, 229, 230, 231},
                                {232, 233, 234, 235},
                                {236, 237, 238, 239},
                                {240, 241, 242, 243},
                                {244, 245, 246, 247},
                                {248, 249, 250, 251},
                                {252, 253, 254, 255},
                                {256, 257, 258, 259},
                                {260, 261, 262, 263},
                                {264, 265, 266, 267},
                                {268, 269, 270, 271},
                                {272, 273, 274, 275},
                                {276, 277, 278, 279},
                                {280, 281, 282, 283},
                                {284, 285, 286, 287},
                                {288, 289, 290, 291},
                                {292, 293, 294, 295},
                                {296, 297, 298, 299},
                                {300, 301, 302, 303},
                                {304, 305, 306, 307},
                                {308, 309, 310, 311},
                                {312, 313, 314, 315},
                                {316, 317, 318, 319},
                                {320, 321, 322, 323},
                                {324, 325, 326, 327},
                                {328, 329, 330, 331},
                                {332, 333, 334, 335},
                                {336, 337, 338, 339},
                                {340, 341, 342, 343},
                                {344, 0, 0, 0},
                                {345, 0, 0, 0},
                                {346, 0, 0, 0},
                                {347, 348, 349, 350},
                                {351, 0, 0, 0},
                                {352, 0, 0, 0},
                                {353, 0, 0, 0},
                                {354, 355, 356, 357},
                                {358, 0, 0, 0},
                                {359, 0, 0, 0},
                                {360, 0, 0, 0},
                                {361, 362, 363, 364},
                                {365, 366, 367, 368},
                                {369, 370, 371, 372},
                                {373, 374, 375, 376},
                                {377, 378, 379, 380},
                                {381, 382, 383, 384},
                                {385, 386, 387, 388},
                                {389, 390, 391, 392},
                                {393, 0, 0, 0},
                                {394, 0, 0, 0},
                                {395, 0, 0, 0},
                                {396, 397, 398, 399},
                                {400, 0, 0, 0},
                                {401, 0, 0, 0},
                                {402, 403, 404, 405},
                                {406, 0, 0, 0},
                                {407, 0, 0, 0},
                                {408, 0, 0, 0},
                                {409, 410, 411, 412},
                                {413, 0, 0, 0},
                                {414, 0, 0, 0},
                                {415, 416, 417, 418},
                                {419, 420, 421, 422},
                                {423, 424, 425, 426},
                                {427, 428, 429, 430},
                                {431, 432, 433, 434},
                                {435, 0, 0, 0},
                                {436, 0, 0, 0},
                                {437, 0, 0, 0},
                                {438, 439, 440, 441},
                                {442, 0, 0, 0},
                                {443, 0, 0, 0},
                                {444, 0, 0, 0},
                                {445, 446, 447, 448},
                                {449, 0, 0, 0},
                                {450, 0, 0, 0},
                                {451, 0, 0, 0},
                                {452, 453, 454, 455},
                                {456, 457, 458, 459},
                                {460, 461, 462, 463},
                                {464, 465, 466, 467},
                                {468, 469, 470, 471},
                                {472, 473, 474, 475},
                                {476, 477, 478, 479},
                                {480, 481, 482, 483},
                                {484, 0, 0, 0},
                                {485, 0, 0, 0},
                                {486, 0, 0, 0},
                                {487, 488, 489, 490},
                                {491, 0, 0, 0},
                                {492, 0, 0, 0},
                                {493, 494, 495, 496},
                                {497, 0, 0, 0},
                                {498, 0, 0, 0},
                                {499, 0, 0, 0},
                                {500, 501, 502, 503},
                                {504, 0, 0, 0},
                                {505, 0, 0, 0},
                                {2711, 2712, 2713, 2714},
                                {2715, 2716, 2717, 2718},
                                {2719, 2720, 2721, 2722},
                                {2723, 2724, 2725, 2726},
                                {2727, 2728, 2729, 2730},
                                {2731, 2732, 2733, 2734},
                                {2735, 2736, 2737, 2738},
                                {2739, 2740, 2741, 2742},
                                {2743, 2744, 2745, 2746},
                                {2747, 2748, 2749, 2750},
                                {2751, 2752, 2753, 2754},
                                {2755, 2756, 2757, 2758},
                                {2759, 2760, 2761, 2762},
                                {2763, 2764, 2765, 2766},
                                {2767, 2768, 2769, 2770},
                                {2771, 2772, 2773, 2774},
                                {2775, 2776, 2777, 2778},
                                {2779, 2780, 2781, 2782},
                                {2783, 2784, 2785, 2786},
                                {2787, 2788, 2789, 2790},
                                {2791, 2792, 2793, 2794},
                                {2795, 0, 0, 0},
                                {2796, 0, 0, 0},
                                {2797, 0, 0, 0},
                                {2798, 2799, 2800, 2801},
                                {2802, 0, 0, 0},
                                {2803, 0, 0, 0},
                                {2804, 0, 0, 0},
                                {2805, 2806, 2807, 2808},
                                {2809, 0, 0, 0},
                                {2810, 0, 0, 0},
                                {2811, 0, 0, 0},
                                {2812, 2813, 2814, 2815},
                                {2816, 2817, 2818, 2819},
                                {2820, 2821, 2822, 2823},
                                {2824, 2825, 2826, 2827},
                                {2828, 2829, 2830, 2831},
                                {2832, 0, 0, 0},
                                {2833, 0, 0, 0},
                                {2834, 0, 0, 0},
                                {2835, 2836, 2837, 2838},
                                {2839, 0, 0, 0},
                                {2840, 0, 0, 0},
                                {2841, 0, 0, 0},
                                {2842, 2843, 2844, 2845},
                                {2846, 0, 0, 0},
                                {2847, 0, 0, 0},
                                {2848, 0, 0, 0},
                                {2849, 2850, 2851, 2852},
                                {2853, 2854, 2855, 2856},
                                {2857, 2858, 2859, 2860},
                                {2861, 2862, 2863, 2864},
                                {2865, 2866, 2867, 2868},
                                {2869, 0, 0, 0},
                                {2870, 0, 0, 0},
                                {2871, 0, 0, 0},
                                {2872, 2873, 2874, 2875},
                                {2876, 0, 0, 0},
                                {2877, 0, 0, 0},
                                {2878, 0, 0, 0},
                                {2879, 2880, 2881, 2882},
                                {2883, 0, 0, 0},
                                {2884, 0, 0, 0},
                                {2885, 0, 0, 0},
                                {2886, 2887, 2888, 2889},
                                {2890, 2891, 2892, 2893},
                                {2894, 2895, 2896, 2897},
                                {2898, 2899, 2900, 2901},
                                {2902, 2903, 2904, 2905},
                                {2906, 2907, 2908, 2909},
                                {2910, 2911, 2912, 2913},
                                {2914, 2915, 2916, 2917},
                                {2918, 2919, 2920, 2921},
                                {2922, 2923, 2924, 2925},
                                {2926, 2927, 2928, 2929},
                                {2930, 2931, 2932, 2933},
                                {2934, 2935, 2936, 2937},
                                {2938, 2939, 2940, 2941},
                                {2942, 2943, 2944, 2945},
                                {2946, 2947, 2948, 2949},
                                {2950, 2951, 2952, 2953},
                                {2954, 2955, 2956, 2957},
                                {2958, 2959, 2960, 2961},
                                {2962, 2963, 2964, 2965},
                                {2966, 2967, 2968, 2969},
                                {2970, 2971, 2972, 2973},
                                {2974, 2975, 2976, 2977},
                                {2978, 2979, 2980, 2981},
                                {2982, 2983, 2984, 2985},
                                {2986, 2987, 2988, 2989},
                                {2990, 2991, 2992, 2993},
                                {2994, 2995, 2996, 2997},
                                {2998, 2999, 3000, 3001},
                                {3002, 3003, 3004, 3005},
                                {3006, 3007, 3008, 3009},
                                {3010, 3011, 3012, 3013},
                                {3014, 3015, 3016, 3017},
                                {3018, 3019, 3020, 3021},
                                {3022, 3023, 3024, 3025},
                                {3026, 3027, 3028, 3029},
                                {3030, 3031, 3032, 3033},
                                {3034, 3035, 3036, 3037},
                                {3038, 3039, 3040, 3041},
                                {3042, 3043, 3044, 3045},
                                {3046, 3047, 3048, 3049},
                                {3050, 3051, 3052, 3053},
                                {3054, 0, 0, 0},
                                {3055, 0, 0, 0},
                                {3056, 0, 0, 0},
                                {3057, 3058, 3059, 3060},
                                {3061, 0, 0, 0},
                                {3062, 0, 0, 0},
                                {3063, 0, 0, 0},
                                {3064, 3065, 3066, 3067},
                                {3068, 0, 0, 0},
                                {3069, 0, 0, 0},
                                {3070, 0, 0, 0},
                                {3071, 3072, 3073, 3074},
                                {3075, 3076, 3077, 3078},
                                {3079, 3080, 3081, 3082},
                                {3083, 3084, 3085, 3086},
                                {3087, 3088, 3089, 3090},
                                {3091, 3092, 3093, 3094},
                                {3095, 3096, 3097, 3098},
                                {3099, 3100, 3101, 3102},
                                {3103, 0, 0, 0},
                                {3104, 0, 0, 0},
                                {3105, 0, 0, 0},
                                {3106, 3107, 3108, 3109},
                                {3110, 0, 0, 0},
                                {3111, 0, 0, 0},
                                {3112, 3113, 3114, 3115},
                                {3116, 0, 0, 0},
                                {3117, 0, 0, 0},
                                {3118, 0, 0, 0},
                                {3119, 3120, 3121, 3122},
                                {3123, 0, 0, 0},
                                {3124, 0, 0, 0},
                                {506, 507, 508, 509},
                                {510, 511, 512, 513},
                                {514, 515, 516, 517},
                                {518, 519, 520, 521},
                                {522, 523, 524, 525},
                                {526, 527, 528, 529},
                                {530, 531, 532, 533},
                                {534, 535, 536, 537},
                                {538, 539, 540, 541},
                                {542, 543, 544, 545},
                                {546, 547, 548, 549},
                                {550, 551, 552, 553},
                                {554, 555, 556, 557},
                                {558, 559, 560, 561},
                                {562, 563, 564, 565},
                                {566, 567, 568, 569},
                                {570, 571, 572, 573},
                                {574, 575, 576, 577},
                                {578, 579, 580, 581},
                                {582, 583, 584, 585},
                                {586, 587, 588, 589},
                                {590, 0, 0, 0},
                                {591, 0, 0, 0},
                                {592, 0, 0, 0},
                                {593, 594, 595, 596},
                                {597, 0, 0, 0},
                                {598, 0, 0, 0},
                                {599, 0, 0, 0},
                                {600, 601, 602, 603},
                                {604, 0, 0, 0},
                                {605, 0, 0, 0},
                                {606, 0, 0, 0},
                                {607, 608, 609, 610},
                                {611, 612, 613, 614},
                                {615, 616, 617, 618},
                                {619, 620, 621, 622},
                                {623, 624, 625, 626},
                                {627, 0, 0, 0},
                                {628, 0, 0, 0},
                                {629, 0, 0, 0},
                                {630, 631, 632, 633},
                                {634, 0, 0, 0},
                                {635, 0, 0, 0},
                                {636, 0, 0, 0},
                                {637, 638, 639, 640},
                                {641, 0, 0, 0},
                                {642, 0, 0, 0},
                                {643, 0, 0, 0},
                                {644, 645, 646, 647},
                                {648, 649, 650, 651},
                                {652, 653, 654, 655},
                                {656, 657, 658, 659},
                                {660, 661, 662, 663},
                                {664, 0, 0, 0},
                                {665, 0, 0, 0},
                                {666, 0, 0, 0},
                                {667, 668, 669, 670},
                                {671, 0, 0, 0},
                                {672, 0, 0, 0},
                                {673, 0, 0, 0},
                                {674, 675, 676, 677},
                                {678, 0, 0, 0},
                                {679, 0, 0, 0},
                                {680, 0, 0, 0},
                                {681, 682, 683, 684},
                                {685, 686, 687, 688},
                                {689, 690, 691, 692},
                                {693, 694, 695, 696},
                                {697, 698, 699, 700},
                                {701, 702, 703, 704},
                                {705, 706, 707, 708},
                                {709, 710, 711, 712},
                                {713, 714, 715, 716},
                                {717, 718, 719, 720},
                                {721, 722, 723, 724},
                                {725, 726, 727, 728},
                                {729, 730, 731, 732},
                                {733, 734, 735, 736},
                                {737, 738, 739, 740},
                                {741, 742, 743, 744},
                                {745, 746, 747, 748},
                                {749, 750, 751, 752},
                                {753, 754, 755, 756},
                                {757, 758, 759, 760},
                                {761, 762, 763, 764},
                                {765, 766, 767, 768},
                                {769, 770, 771, 772},
                                {773, 774, 775, 776},
                                {777, 778, 779, 780},
                                {781, 782, 783, 784},
                                {785, 786, 787, 788},
                                {789, 790, 791, 792},
                                {793, 794, 795, 796},
                                {797, 798, 799, 800},
                                {801, 802, 803, 804},
                                {805, 806, 807, 808},
                                {809, 810, 811, 812},
                                {813, 0, 0, 0},
                                {814, 0, 0, 0},
                                {815, 0, 0, 0},
                                {816, 817, 818, 819},
                                {820, 0, 0, 0},
                                {821, 0, 0, 0},
                                {822, 0, 0, 0},
                                {823, 824, 825, 826},
                                {827, 0, 0, 0},
                                {828, 0, 0, 0},
                                {829, 0, 0, 0},
                                {830, 831, 832, 833},
                                {834, 835, 836, 837},
                                {838, 839, 840, 841},
                                {842, 843, 844, 845},
                                {846, 847, 848, 849},
                                {850, 0, 0, 0},
                                {851, 0, 0, 0},
                                {852, 0, 0, 0},
                                {853, 854, 855, 856},
                                {857, 0, 0, 0},
                                {858, 0, 0, 0},
                                {859, 0, 0, 0},
                                {860, 861, 862, 863},
                                {864, 865, 866, 867},
                                {868, 869, 870, 871},
                                {872, 873, 874, 875},
                                {876, 877, 878, 879},
                                {880, 0, 0, 0},
                                {881, 0, 0, 0},
                                {882, 0, 0, 0},
                                {883, 884, 885, 886},
                                {887, 0, 0, 0},
                                {888, 0, 0, 0},
                                {889, 0, 0, 0},
                                {890, 891, 892, 893},
                                {894, 0, 0, 0},
                                {895, 0, 0, 0},
                                {896, 0, 0, 0},
                                {897, 898, 899, 900},
                                {901, 902, 903, 904},
                                {905, 906, 907, 908},
                                {909, 910, 911, 912},
                                {913, 914, 915, 916},
                                {917, 0, 0, 0},
                                {918, 0, 0, 0},
                                {919, 0, 0, 0},
                                {920, 921, 922, 923},
                                {924, 0, 0, 0},
                                {925, 0, 0, 0},
                                {926, 0, 0, 0},
                                {2711, 2712, 2713, 2714},
                                {2715, 2716, 2717, 2718},
                                {2719, 2720, 2721, 2722},
                                {2723, 2724, 2725, 2726},
                                {2727, 2728, 2729, 2730},
                                {2731, 2732, 2733, 2734},
                                {2735, 2736, 2737, 2738},
                                {2739, 2740, 2741, 2742},
                                {2743, 2744, 2745, 2746},
                                {2747, 2748, 2749, 2750},
                                {2751, 2752, 2753, 2754},
                                {2755, 2756, 2757, 2758},
                                {2759, 2760, 2761, 2762},
                                {2763, 2764, 2765, 2766},
                                {2767, 2768, 2769, 2770},
                                {2771, 2772, 2773, 2774},
                                {2775, 2776, 2777, 2778},
                                {2779, 2780, 2781, 2782},
                                {2783, 2784, 2785, 2786},
                                {2787, 2788, 2789, 2790},
                                {2791, 2792, 2793, 2794},
                                {2795, 0, 0, 0},
                                {2796, 0, 0, 0},
                                {2797, 0, 0, 0},
                                {2798, 2799, 2800, 2801},
                                {2802, 0, 0, 0},
                                {2803, 0, 0, 0},
                                {2804, 0, 0, 0},
                                {2805, 2806, 2807, 2808},
                                {2809, 0, 0, 0},
                                {2810, 0, 0, 0},
                                {2811, 0, 0, 0},
                                {2812, 2813, 2814, 2815},
                                {2816, 2817, 2818, 2819},
                                {2820, 2821, 2822, 2823},
                                {2824, 2825, 2826, 2827},
                                {2828, 2829, 2830, 2831},
                                {2832, 0, 0, 0},
                                {2833, 0, 0, 0},
                                {2834, 0, 0, 0},
                                {2835, 2836, 2837, 2838},
                                {2839, 0, 0, 0},
                                {2840, 0, 0, 0},
                                {2841, 0, 0, 0},
                                {2842, 2843, 2844, 2845},
                                {2846, 0, 0, 0},
                                {2847, 0, 0, 0},
                                {2848, 0, 0, 0},
                                {2849, 2850, 2851, 2852},
                                {2853, 2854, 2855, 2856},
                                {2857, 2858, 2859, 2860},
                                {2861, 2862, 2863, 2864},
                                {2865, 2866, 2867, 2868},
                                {2869, 0, 0, 0},
                                {2870, 0, 0, 0},
                                {2871, 0, 0, 0},
                                {2872, 2873, 2874, 2875},
                                {2876, 0, 0, 0},
                                {2877, 0, 0, 0},
                                {2878, 0, 0, 0},
                                {2879, 2880, 2881, 2882},
                                {2883, 0, 0, 0},
                                {2884, 0, 0, 0},
                                {2885, 0, 0, 0},
                                {3125, 3126, 3127, 3128},
                                {3129, 3130, 3131, 3132},
                                {3133, 3134, 3135, 3136},
                                {3137, 3138, 3139, 3140},
                                {3141, 3142, 3143, 3144},
                                {3145, 3146, 3147, 3148},
                                {3149, 3150, 3151, 3152},
                                {3153, 3154, 3155, 3156},
                                {3157, 3158, 3159, 3160},
                                {3161, 3162, 3163, 3164},
                                {3165, 3166, 3167, 3168},
                                {3169, 3170, 3171, 3172},
                                {3173, 3174, 3175, 3176},
                                {3177, 3178, 3179, 3180},
                                {3181, 3182, 3183, 3184},
                                {3185, 3186, 3187, 3188},
                                {3189, 3190, 3191, 3192},
                                {3193, 3194, 3195, 3196},
                                {3197, 3198, 3199, 3200},
                                {3201, 3202, 3203, 3204},
                                {3205, 3206, 3207, 3208},
                                {3209, 3210, 3211, 3212},
                                {3213, 3214, 3215, 3216},
                                {3217, 3218, 3219, 3220},
                                {3221, 3222, 3223, 3224},
                                {3225, 3226, 3227, 3228},
                                {3229, 3230, 3231, 3232},
                                {3233, 3234, 3235, 3236},
                                {3237, 3238, 3239, 3240},
                                {3241, 3242, 3243, 3244},
                                {3245, 3246, 3247, 3248},
                                {3249, 3250, 3251, 3252},
                                {3253, 3254, 3255, 3256},
                                {3257, 0, 0, 0},
                                {3258, 0, 0, 0},
                                {3259, 0, 0, 0},
                                {3260, 3261, 3262, 3263},
                                {3264, 0, 0, 0},
                                {3265, 0, 0, 0},
                                {3266, 0, 0, 0},
                                {3267, 3268, 3269, 3270},
                                {3271, 0, 0, 0},
                                {3272, 0, 0, 0},
                                {3273, 0, 0, 0},
                                {3274, 3275, 3276, 3277},
                                {3278, 3279, 3280, 3281},
                                {3282, 3283, 3284, 3285},
                                {3286, 3287, 3288, 3289},
                                {3290, 3291, 3292, 3293},
                                {3294, 0, 0, 0},
                                {3295, 0, 0, 0},
                                {3296, 0, 0, 0},
                                {3297, 3298, 3299, 3300},
                                {3301, 0, 0, 0},
                                {3302, 0, 0, 0},
                                {3303, 0, 0, 0},
                                {927, 928, 929, 930},
                                {931, 932, 933, 934},
                                {935, 936, 937, 938},
                                {939, 940, 941, 942},
                                {943, 944, 945, 946},
                                {947, 948, 949, 950},
                                {951, 952, 953, 954},
                                {955, 956, 957, 958},
                                {959, 960, 961, 962},
                                {963, 964, 965, 966},
                                {967, 968, 969, 970},
                                {971, 972, 973, 974},
                                {975, 976, 977, 978},
                                {979, 980, 981, 982},
                                {983, 984, 985, 986},
                                {987, 988, 989, 990},
                                {991, 992, 993, 994},
                                {995, 996, 997, 998},
                                {999, 1000, 1001, 1002},
                                {1003, 1004, 1005, 1006},
                                {1007, 1008, 1009, 1010},
                                {1011, 1012, 1013, 1014},
                                {1015, 1016, 1017, 1018},
                                {1019, 1020, 1021, 1022},
                                {1023, 1024, 1025, 1026},
                                {1027, 1028, 1029, 1030},
                                {1031, 1032, 1033, 1034},
                                {1035, 1036, 1037, 1038},
                                {1039, 1040, 1041, 1042},
                                {1043, 1044, 1045, 1046},
                                {1047, 1048, 1049, 1050},
                                {1051, 1052, 1053, 1054},
                                {1055, 1056, 1057, 1058},
                                {1059, 1060, 1061, 1062},
                                {1063, 1064, 1065, 1066},
                                {1067, 1068, 1069, 1070},
                                {1071, 1072, 1073, 1074},
                                {1075, 1076, 1077, 1078},
                                {1079, 1080, 1081, 1082},
                                {1083, 1084, 1085, 1086},
                                {1087, 1088, 1089, 1090},
                                {1091, 1092, 1093, 1094},
                                {1095, 1096, 1097, 1098},
                                {1099, 1100, 1101, 1102},
                                {1103, 1104, 1105, 1106},
                                {1107, 1108, 1109, 1110},
                                {1111, 1112, 1113, 1114},
                                {1115, 1116, 1117, 1118},
                                {1119, 1120, 1121, 1122},
                                {1123, 1124, 1125, 1126},
                                {1127, 1128, 1129, 1130},
                                {1131, 1132, 1133, 1134},
                                {1135, 1136, 1137, 1138},
                                {1139, 1140, 1141, 1142},
                                {1143, 1144, 1145, 1146},
                                {1147, 1148, 1149, 1150},
                                {1151, 1152, 1153, 1154},
                                {1155, 1156, 1157, 1158},
                                {1159, 1160, 1161, 1162},
                                {1163, 1164, 1165, 1166},
                                {1167, 1168, 1169, 1170},
                                {1171, 1172, 1173, 1174},
                                {1175, 1176, 1177, 1178},
                                {1179, 1180, 1181, 1182},
                                {1183, 1184, 1185, 1186},
                                {1187, 1188, 1189, 1190},
                                {1191, 1192, 1193, 1194},
                                {1195, 1196, 1197, 1198},
                                {1199, 1200, 1201, 1202},
                                {1203, 1204, 1205, 1206},
                                {1207, 1208, 1209, 1210},
                                {1211, 1212, 1213, 1214},
                                {1215, 1216, 1217, 1218},
                                {1219, 1220, 1221, 1222},
                                {1223, 1224, 1225, 1226},
                                {1227, 1228, 1229, 1230},
                                {1231, 1232, 1233, 1234},
                                {1235, 1236, 1237, 1238},
                                {1239, 1240, 1241, 1242},
                                {1243, 1244, 1245, 1246},
                                {1247, 1248, 1249, 1250},
                                {1251, 1252, 1253, 1254},
                                {1255, 1256, 1257, 1258},
                                {1259, 1260, 1261, 1262},
                                {1263, 1264, 1265, 1266},
                                {1267, 1268, 1269, 1270},
                                {1271, 1272, 1273, 1274},
                                {1275, 1276, 1277, 1278},
                                {1279, 1280, 1281, 1282},
                                {1283, 1284, 1285, 1286},
                                {1287, 1288, 1289, 1290},
                                {2886, 2887, 2888, 2889},
                                {2890, 2891, 2892, 2893},
                                {2894, 2895, 2896, 2897},
                                {2898, 2899, 2900, 2901},
                                {2902, 2903, 2904, 2905},
                                {2906, 2907, 2908, 2909},
                                {2910, 2911, 2912, 2913},
                                {2914, 2915, 2916, 2917},
                                {2918, 2919, 2920, 2921},
                                {2922, 2923, 2924, 2925},
                                {2926, 2927, 2928, 2929},
                                {2930, 2931, 2932, 2933},
                                {2934, 2935, 2936, 2937},
                                {2938, 2939, 2940, 2941},
                                {2942, 2943, 2944, 2945},
                                {2946, 2947, 2948, 2949},
                                {2950, 2951, 2952, 2953},
                                {2954, 2955, 2956, 2957},
                                {2958, 2959, 2960, 2961},
                                {2962, 2963, 2964, 2965},
                                {2966, 2967, 2968, 2969},
                                {2970, 2971, 2972, 2973},
                                {2974, 2975, 2976, 2977},
                                {2978, 2979, 2980, 2981},
                                {2982, 2983, 2984, 2985},
                                {2986, 2987, 2988, 2989},
                                {2990, 2991, 2992, 2993},
                                {2994, 2995, 2996, 2997},
                                {2998, 2999, 3000, 3001},
                                {3002, 3003, 3004, 3005},
                                {3006, 3007, 3008, 3009},
                                {3010, 3011, 3012, 3013},
                                {3014, 3015, 3016, 3017},
                                {3018, 3019, 3020, 3021},
                                {3022, 3023, 3024, 3025},
                                {3026, 3027, 3028, 3029},
                                {3030, 3031, 3032, 3033},
                                {3125, 3126, 3127, 3128},
                                {3129, 3130, 3131, 3132},
                                {3133, 3134, 3135, 3136},
                                {3137, 3138, 3139, 3140},
                                {3141, 3142, 3143, 3144},
                                {3145, 3146, 3147, 3148},
                                {3149, 3150, 3151, 3152},
                                {3153, 3154, 3155, 3156},
                                {3157, 3158, 3159, 3160},
                                {3161, 3162, 3163, 3164},
                                {3165, 3166, 3167, 3168},
                                {3169, 3170, 3171, 3172},
                                {3173, 3174, 3175, 3176},
                                {3177, 3178, 3179, 3180},
                                {3181, 3182, 3183, 3184},
                                {3185, 3186, 3187, 3188},
                                {3189, 3190, 3191, 3192},
                                {3193, 3194, 3195, 3196},
                                {3197, 3198, 3199, 3200},
                                {3201, 3202, 3203, 3204},
                                {3205, 3206, 3207, 3208},
                                {3209, 3210, 3211, 3212},
                                {3213, 3214, 3215, 3216},
                                {3217, 3218, 3219, 3220},
                                {3221, 3222, 3223, 3224},
                                {3225, 3226, 3227, 3228},
                                {3229, 3230, 3231, 3232},
                                {3233, 3234, 3235, 3236},
                                {3304, 3305, 3306, 3307},
                                {3308, 3309, 3310, 3311},
                                {3312, 3313, 3314, 3315},
                                {3316, 3317, 3318, 3319},
                                {3320, 3321, 3322, 3323},
                                {3324, 3325, 3326, 3327},
                                {3328, 3329, 3330, 3331},
                                {3332, 3333, 3334, 3335},
                                {3336, 3337, 3338, 3339},
                                {3340, 3341, 3342, 3343},
                                {3344, 3345, 3346, 3347},
                                {3348, 3349, 3350, 3351},
                                {3352, 3353, 3354, 3355},
                                {1526, 1527, 1528, 1529},
                                {1530, 1531, 1532, 1533},
                                {1534, 1535, 1536, 1537},
                                {1538, 1539, 1540, 1541},
                                {1542, 1543, 1544, 1545},
                                {1546, 1547, 1548, 1549},
                                {1550, 1551, 1552, 1553},
                                {1554, 1555, 1556, 1557},
                                {1558, 1559, 1560, 1561},
                                {1562, 1563, 1564, 1565},
                                {1566, 1567, 1568, 1569},
                                {1570, 1571, 1572, 1573},
                                {1574, 1575, 1576, 1577},
                                {1578, 1579, 1580, 1581},
                                {1582, 1583, 1584, 1585},
                                {1586, 1587, 1588, 1589},
                                {1590, 1591, 1592, 1593},
                                {1594, 1595, 1596, 1597},
                                {1598, 1599, 1600, 1601},
                                {1602, 1603, 1604, 1605},
                                {1606, 1607, 1608, 1609},
                                {1610, 0, 0, 0},
                                {1611, 0, 0, 0},
                                {1612, 0, 0, 0},
                                {1613, 1614, 1615, 1616},
                                {1617, 0, 0, 0},
                                {1618, 0, 0, 0},
                                {1619, 0, 0, 0},
                                {1620, 1621, 1622, 1623},
                                {1624, 0, 0, 0},
                                {1625, 0, 0, 0},
                                {1626, 0, 0, 0},
                                {1627, 1628, 1629, 1630},
                                {1631, 1632, 1633, 1634},
                                {1635, 1636, 1637, 1638},
                                {1639, 1640, 1641, 1642},
                                {1643, 1644, 1645, 1646},
                                {1647, 0, 0, 0},
                                {1648, 0, 0, 0},
                                {1649, 0, 0, 0},
                                {1650, 1651, 1652, 1653},
                                {1654, 0, 0, 0},
                                {1655, 0, 0, 0},
                                {1656, 0, 0, 0},
                                {1657, 1658, 1659, 1660},
                                {1661, 0, 0, 0},
                                {1662, 0, 0, 0},
                                {1663, 0, 0, 0},
                                {1664, 1665, 1666, 1667},
                                {1668, 1669, 1670, 1671},
                                {1672, 1673, 1674, 1675},
                                {1676, 1677, 1678, 1679},
                                {1680, 1681, 1682, 1683},
                                {1684, 0, 0, 0},
                                {1685, 0, 0, 0},
                                {1686, 0, 0, 0},
                                {1687, 1688, 1689, 1690},
                                {1691, 0, 0, 0},
                                {1692, 0, 0, 0},
                                {1693, 0, 0, 0},
                                {1694, 1695, 1696, 1697},
                                {1698, 0, 0, 0},
                                {1699, 0, 0, 0},
                                {1700, 0, 0, 0},
                                {1701, 1702, 1703, 1704},
                                {1705, 1706, 1707, 1708},
                                {1709, 1710, 1711, 1712},
                                {1713, 1714, 1715, 1716},
                                {1717, 1718, 1719, 1720},
                                {1721, 1722, 1723, 1724},
                                {1725, 1726, 1727, 1728},
                                {1729, 1730, 1731, 1732},
                                {1733, 1734, 1735, 1736},
                                {1737, 1738, 1739, 1740},
                                {1741, 1742, 1743, 1744},
                                {1745, 1746, 1747, 1748},
                                {1749, 1750, 1751, 1752},
                                {1753, 1754, 1755, 1756},
                                {1757, 1758, 1759, 1760},
                                {1761, 1762, 1763, 1764},
                                {1765, 1766, 1767, 1768},
                                {1769, 1770, 1771, 1772},
                                {1773, 1774, 1775, 1776},
                                {1777, 1778, 1779, 1780},
                                {1781, 1782, 1783, 1784},
                                {1785, 0, 0, 0},
                                {1786, 0, 0, 0},
                                {1787, 0, 0, 0},
                                {1788, 1789, 1790, 1791},
                                {1792, 0, 0, 0},
                                {1793, 0, 0, 0},
                                {1794, 0, 0, 0},
                                {1795, 1796, 1797, 1798},
                                {1799, 0, 0, 0},
                                {1800, 0, 0, 0},
                                {1801, 0, 0, 0},
                                {1802, 1803, 1804, 1805},
                                {1806, 1807, 1808, 1809},
                                {1810, 1811, 1812, 1813},
                                {1814, 1815, 1816, 1817},
                                {1818, 1819, 1820, 1821},
                                {1822, 0, 0, 0},
                                {1823, 0, 0, 0},
                                {1824, 0, 0, 0},
                                {1825, 1826, 1827, 1828},
                                {1829, 0, 0, 0},
                                {1830, 0, 0, 0},
                                {1831, 0, 0, 0},
                                {1832, 1833, 1834, 1835},
                                {1836, 0, 0, 0},
                                {1837, 0, 0, 0},
                                {1838, 0, 0, 0},
                                {2711, 2712, 2713, 2714},
                                {2715, 2716, 2717, 2718},
                                {2719, 2720, 2721, 2722},
                                {2723, 2724, 2725, 2726},
                                {2727, 2728, 2729, 2730},
                                {2731, 2732, 2733, 2734},
                                {2735, 2736, 2737, 2738},
                                {2739, 2740, 2741, 2742},
                                {2743, 2744, 2745, 2746},
                                {2747, 2748, 2749, 2750},
                                {2751, 2752, 2753, 2754},
                                {2755, 2756, 2757, 2758},
                                {2759, 2760, 2761, 2762},
                                {2763, 2764, 2765, 2766},
                                {2767, 2768, 2769, 2770},
                                {2771, 2772, 2773, 2774},
                                {2775, 2776, 2777, 2778},
                                {2779, 2780, 2781, 2782},
                                {2783, 2784, 2785, 2786},
                                {2787, 2788, 2789, 2790},
                                {2791, 2792, 2793, 2794},
                                {2795, 0, 0, 0},
                                {2796, 0, 0, 0},
                                {2797, 0, 0, 0},
                                {2798, 2799, 2800, 2801},
                                {2802, 0, 0, 0},
                                {2803, 0, 0, 0},
                                {2804, 0, 0, 0},
                                {2805, 2806, 2807, 2808},
                                {2809, 0, 0, 0},
                                {2810, 0, 0, 0},
                                {2811, 0, 0, 0},
                                {2812, 2813, 2814, 2815},
                                {2816, 2817, 2818, 2819},
                                {2820, 2821, 2822, 2823},
                                {2824, 2825, 2826, 2827},
                                {2828, 2829, 2830, 2831},
                                {2832, 0, 0, 0},
                                {2833, 0, 0, 0},
                                {2834, 0, 0, 0},
                                {2835, 2836, 2837, 2838},
                                {2839, 0, 0, 0},
                                {2840, 0, 0, 0},
                                {2841, 0, 0, 0},
                                {2842, 2843, 2844, 2845},
                                {2846, 0, 0, 0},
                                {2847, 0, 0, 0},
                                {2848, 0, 0, 0},
                                {2849, 2850, 2851, 2852},
                                {2853, 2854, 2855, 2856},
                                {2857, 2858, 2859, 2860},
                                {2861, 2862, 2863, 2864},
                                {2865, 2866, 2867, 2868},
                                {2869, 0, 0, 0},
                                {2870, 0, 0, 0},
                                {2871, 0, 0, 0},
                                {2872, 2873, 2874, 2875},
                                {2876, 0, 0, 0},
                                {2877, 0, 0, 0},
                                {2878, 0, 0, 0},
                                {2879, 2880, 2881, 2882},
                                {2883, 0, 0, 0},
                                {2884, 0, 0, 0},
                                {2885, 0, 0, 0},
                                {3356, 3357, 3358, 3359},
                                {3360, 3361, 3362, 3363},
                                {3364, 3365, 3366, 3367},
                                {3368, 3369, 3370, 3371},
                                {3372, 3373, 3374, 3375},
                                {3376, 3377, 3378, 3379},
                                {3380, 3381, 3382, 3383},
                                {3384, 3385, 3386, 3387},
                                {3388, 3389, 3390, 3391},
                                {3392, 3393, 3394, 3395},
                                {3396, 3397, 3398, 3399},
                                {3400, 3401, 3402, 3403},
                                {3404, 3405, 3406, 3407},
                                {3408, 3409, 3410, 3411},
                                {3412, 3413, 3414, 3415},
                                {3416, 3417, 3418, 3419},
                                {3420, 3421, 3422, 3423},
                                {3424, 3425, 3426, 3427},
                                {3428, 3429, 3430, 3431},
                                {3432, 3433, 3434, 3435},
                                {3436, 3437, 3438, 3439},
                                {3440, 0, 0, 0},
                                {3441, 0, 0, 0},
                                {3442, 0, 0, 0},
                                {3443, 3444, 3445, 3446},
                                {3447, 0, 0, 0},
                                {3448, 0, 0, 0},
                                {3449, 0, 0, 0},
                                {3450, 3451, 3452, 3453},
                                {3454, 0, 0, 0},
                                {3455, 0, 0, 0},
                                {3456, 0, 0, 0},
                                {1839, 1840, 1841, 1842},
                                {1843, 1844, 1845, 1846},
                                {1847, 1848, 1849, 1850},
                                {1851, 1852, 1853, 1854},
                                {1855, 1856, 1857, 1858},
                                {1859, 1860, 1861, 1862},
                                {1863, 1864, 1865, 1866},
                                {1867, 1868, 1869, 1870},
                                {1871, 1872, 1873, 1874},
                                {1875, 1876, 1877, 1878},
                                {1879, 1880, 1881, 1882},
                                {1883, 1884, 1885, 1886},
                                {1887, 1888, 1889, 1890},
                                {1891, 1892, 1893, 1894},
                                {1895, 1896, 1897, 1898},
                                {1899, 1900, 1901, 1902},
                                {1903, 1904, 1905, 1906},
                                {1907, 1908, 1909, 1910},
                                {1911, 1912, 1913, 1914},
                                {1915, 1916, 1917, 1918},
                                {1919, 1920, 1921, 1922},
                                {1923, 1924, 1925, 1926},
                                {1927, 1928, 1929, 1930},
                                {1931, 1932, 1933, 1934},
                                {1935, 1936, 1937, 1938},
                                {1939, 1940, 1941, 1942},
                                {1943, 1944, 1945, 1946},
                                {1947, 1948, 1949, 1950},
                                {1951, 1952, 1953, 1954},
                                {1955, 1956, 1957, 1958},
                                {1959, 1960, 1961, 1962},
                                {1963, 1964, 1965, 1966},
                                {1967, 1968, 1969, 1970},
                                {1971, 1972, 1973, 1974},
                                {1975, 1976, 1977, 1978},
                                {1979, 1980, 1981, 1982},
                                {1983, 1984, 1985, 1986},
                                {1987, 1988, 1989, 1990},
                                {1991, 1992, 1993, 1994},
                                {1995, 1996, 1997, 1998},
                                {1999, 2000, 2001, 2002},
                                {2003, 2004, 2005, 2006},
                                {2007, 2008, 2009, 2010},
                                {2011, 2012, 2013, 2014},
                                {2015, 2016, 2017, 2018},
                                {2019, 2020, 2021, 2022},
                                {2023, 2024, 2025, 2026},
                                {2027, 2028, 2029, 2030},
                                {2031, 2032, 2033, 2034},
                                {2035, 2036, 2037, 2038},
                                {2039, 2040, 2041, 2042},
                                {2043, 2044, 2045, 2046},
                                {2047, 2048, 2049, 2050},
                                {2051, 2052, 2053, 2054},
                                {2055, 2056, 2057, 2058},
                                {2059, 2060, 2061, 2062},
                                {2063, 2064, 2065, 2066},
                                {2067, 2068, 2069, 2070},
                                {2071, 2072, 2073, 2074},
                                {2075, 2076, 2077, 2078},
                                {2079, 2080, 2081, 2082},
                                {2083, 2084, 2085, 2086},
                                {2087, 2088, 2089, 2090},
                                {2091, 2092, 2093, 2094},
                                {2095, 2096, 2097, 2098},
                                {2099, 2100, 2101, 2102},
                                {2103, 2104, 2105, 2106},
                                {2886, 2887, 2888, 2889},
                                {2890, 2891, 2892, 2893},
                                {2894, 2895, 2896, 2897},
                                {2898, 2899, 2900, 2901},
                                {2902, 2903, 2904, 2905},
                                {2906, 2907, 2908, 2909},
                                {2910, 2911, 2912, 2913},
                                {2914, 2915, 2916, 2917},
                                {2918, 2919, 2920, 2921},
                                {2922, 2923, 2924, 2925},
                                {2926, 2927, 2928, 2929},
                                {2930, 2931, 2932, 2933},
                                {2934, 2935, 2936, 2937},
                                {2938, 2939, 2940, 2941},
                                {2942, 2943, 2944, 2945},
                                {2946, 2947, 2948, 2949},
                                {2950, 2951, 2952, 2953},
                                {2954, 2955, 2956, 2957},
                                {2958, 2959, 2960, 2961},
                                {2962, 2963, 2964, 2965},
                                {2966, 2967, 2968, 2969},
                                {2970, 2971, 2972, 2973},
                                {2974, 2975, 2976, 2977},
                                {2978, 2979, 2980, 2981},
                                {2982, 2983, 2984, 2985},
                                {2986, 2987, 2988, 2989},
                                {2990, 2991, 2992, 2993},
                                {2994, 2995, 2996, 2997},
                                {2998, 2999, 3000, 3001},
                                {3002, 3003, 3004, 3005},
                                {3006, 3007, 3008, 3009},
                                {3010, 3011, 3012, 3013},
                                {3014, 3015, 3016, 3017},
                                {3018, 3019, 3020, 3021},
                                {3022, 3023, 3024, 3025},
                                {3026, 3027, 3028, 3029},
                                {3030, 3031, 3032, 3033},
                                {3356, 3357, 3358, 3359},
                                {3360, 3361, 3362, 3363},
                                {3364, 3365, 3366, 3367},
                                {3368, 3369, 3370, 3371},
                                {3372, 3373, 3374, 3375},
                                {3376, 3377, 3378, 3379},
                                {3380, 3381, 3382, 3383},
                                {3384, 3385, 3386, 3387},
                                {3388, 3389, 3390, 3391},
                                {3392, 3393, 3394, 3395},
                                {3396, 3397, 3398, 3399},
                                {3400, 3401, 3402, 3403},
                                {3404, 3405, 3406, 3407},
                                {3408, 3409, 3410, 3411},
                                {3412, 3413, 3414, 3415},
                                {3416, 3417, 3418, 3419},
                                {3457, 3458, 3459, 3460},
                                {3461, 3462, 3463, 3464},
                                {3465, 3466, 3467, 3468},
                                {3469, 3470, 3471, 3472},
                                {3473, 3474, 3475, 3476},
                                {3477, 3478, 3479, 3480},
                                {3481, 3482, 3483, 3484},
                                {2276, 2277, 2278, 2279},
                                {2280, 2281, 2282, 2283},
                                {2284, 2285, 2286, 2287},
                                {2288, 2289, 2290, 2291},
                                {2292, 2293, 2294, 2295},
                                {2296, 2297, 2298, 2299},
                                {2300, 2301, 2302, 2303},
                                {2304, 2305, 2306, 2307},
                                {2308, 2309, 2310, 2311},
                                {2312, 2313, 2314, 2315},
                                {2316, 2317, 2318, 2319},
                                {2320, 2321, 2322, 2323},
                                {2324, 2325, 2326, 2327},
                                {2328, 2329, 2330, 2331},
                                {2332, 2333, 2334, 2335},
                                {2336, 2337, 2338, 2339},
                                {2340, 2341, 2342, 2343},
                                {2344, 2345, 2346, 2347},
                                {2348, 2349, 2350, 2351},
                                {2352, 2353, 2354, 2355},
                                {2356, 2357, 2358, 2359},
                                {2360, 2361, 2362, 2363},
                                {2364, 2365, 2366, 2367},
                                {2368, 2369, 2370, 2371},
                                {2372, 2373, 2374, 2375},
                                {2376, 2377, 2378, 2379},
                                {2380, 2381, 2382, 2383},
                                {2384, 2385, 2386, 2387},
                                {2388, 2389, 2390, 2391},
                                {2392, 2393, 2394, 2395},
                                {2396, 2397, 2398, 2399},
                                {2400, 2401, 2402, 2403},
                                {2404, 2405, 2406, 2407},
                                {2408, 2409, 2410, 2411},
                                {2412, 2413, 2414, 2415},
                                {2416, 2417, 2418, 2419},
                                {2420, 2421, 2422, 2423},
                                {2424, 2425, 2426, 2427},
                                {2428, 2429, 2430, 2431},
                                {2432, 2433, 2434, 2435},
                                {2436, 2437, 2438, 2439},
                                {2440, 2441, 2442, 2443},
                                {2444, 2445, 2446, 2447},
                                {2448, 2449, 2450, 2451},
                                {2452, 2453, 2454, 2455},
                                {2456, 2457, 2458, 2459},
                                {2460, 2461, 2462, 2463},
                                {2464, 2465, 2466, 2467},
                                {2468, 2469, 2470, 2471},
                                {2472, 2473, 2474, 2475},
                                {2476, 2477, 2478, 2479},
                                {2480, 2481, 2482, 2483},
                                {3125, 3126, 3127, 3128},
                                {3129, 3130, 3131, 3132},
                                {3133, 3134, 3135, 3136},
                                {3137, 3138, 3139, 3140},
                                {3141, 3142, 3143, 3144},
                                {3145, 3146, 3147, 3148},
                                {3149, 3150, 3151, 3152},
                                {3153, 3154, 3155, 3156},
                                {3157, 3158, 3159, 3160},
                                {3161, 3162, 3163, 3164},
                                {3165, 3166, 3167, 3168},
                                {3169, 3170, 3171, 3172},
                                {3173, 3174, 3175, 3176},
                                {3177, 3178, 3179, 3180},
                                {3181, 3182, 3183, 3184},
                                {3185, 3186, 3187, 3188},
                                {3189, 3190, 3191, 3192},
                                {3193, 3194, 3195, 3196},
                                {3197, 3198, 3199, 3200},
                                {3201, 3202, 3203, 3204},
                                {3205, 3206, 3207, 3208},
                                {3209, 3210, 3211, 3212},
                                {3213, 3214, 3215, 3216},
                                {3217, 3218, 3219, 3220},
                                {3221, 3222, 3223, 3224},
                                {3225, 3226, 3227, 3228},
                                {3229, 3230, 3231, 3232},
                                {3233, 3234, 3235, 3236},
                                {3356, 3357, 3358, 3359},
                                {3360, 3361, 3362, 3363},
                                {3364, 3365, 3366, 3367},
                                {3368, 3369, 3370, 3371},
                                {3372, 3373, 3374, 3375},
                                {3376, 3377, 3378, 3379},
                                {3380, 3381, 3382, 3383},
                                {3384, 3385, 3386, 3387},
                                {3388, 3389, 3390, 3391},
                                {3392, 3393, 3394, 3395},
                                {3396, 3397, 3398, 3399},
                                {3400, 3401, 3402, 3403},
                                {3404, 3405, 3406, 3407},
                                {3408, 3409, 3410, 3411},
                                {3412, 3413, 3414, 3415},
                                {3416, 3417, 3418, 3419},
                                {3485, 3486, 3487, 3488},
                                {3489, 3490, 3491, 3492},
                                {3493, 3494, 3495, 3496},
                                {3497, 3498, 3499, 3500},
                                {1, 2, 3, 4},
                                {5, 6, 7, 8},
                                {9, 10, 11, 12},
                                {13, 14, 15, 16},
                                {17, 18, 19, 20},
                                {21, 22, 23, 24},
                                {25, 26, 27, 28},
                                {29, 30, 31, 32},
                                {33, 34, 35, 36},
                                {37, 38, 39, 40},
                                {41, 42, 43, 44},
                                {45, 46, 47, 48},
                                {49, 50, 51, 52},
                                {53, 54, 55, 56},
                                {57, 58, 59, 60},
                                {61, 62, 63, 64},
                                {65, 66, 67, 68},
                                {69, 70, 71, 72},
                                {73, 74, 75, 76},
                                {77, 78, 79, 80},
                                {81, 82, 83, 84},
                                {85, 0, 0, 0},
                                {86, 0, 0, 0},
                                {87, 0, 0, 0},
                                {88, 89, 90, 91},
                                {92, 0, 0, 0},
                                {93, 0, 0, 0},
                                {94, 0, 0, 0},
                                {95, 96, 97, 98},
                                {99, 0, 0, 0},
                                {100, 0, 0, 0},
                                {101, 0, 0, 0},
                                {102, 103, 104, 105},
                                {106, 107, 108, 109},
                                {110, 111, 112, 113},
                                {114, 115, 116, 117},
                                {118, 119, 120, 121},
                                {122, 0, 0, 0},
                                {123, 0, 0, 0},
                                {124, 0, 0, 0},
                                {125, 126, 127, 128},
                                {129, 0, 0, 0},
                                {130, 0, 0, 0},
                                {131, 0, 0, 0},
                                {132, 133, 134, 135},
                                {136, 0, 0, 0},
                                {137, 0, 0, 0},
                                {138, 0, 0, 0},
                                {139, 140, 141, 142},
                                {143, 144, 145, 146},
                                {147, 148, 149, 150},
                                {151, 152, 153, 154},
                                {155, 156, 157, 158},
                                {159, 0, 0, 0},
                                {160, 0, 0, 0},
                                {161, 0, 0, 0},
                                {162, 163, 164, 165},
                                {166, 0, 0, 0},
                                {167, 0, 0, 0},
                                {168, 0, 0, 0},
                                {169, 170, 171, 172},
                                {173, 0, 0, 0},
                                {174, 0, 0, 0},
                                {175, 0, 0, 0},
                                {176, 177, 178, 179},
                                {180, 181, 182, 183},
                                {184, 185, 186, 187},
                                {188, 189, 190, 191},
                                {192, 193, 194, 195},
                                {196, 197, 198, 199},
                                {200, 201, 202, 203},
                                {204, 205, 206, 207},
                                {208, 209, 210, 211},
                                {212, 213, 214, 215},
                                {216, 217, 218, 219},
                                {220, 221, 222, 223},
                                {224, 225, 226, 227},
                                {228, 229, 230, 231},
                                {232, 233, 234, 235},
                                {236, 237, 238, 239},
                                {240, 241, 242, 243},
                                {244, 245, 246, 247},
                                {248, 249, 250, 251},
                                {252, 253, 254, 255},
                                {256, 257, 258, 259},
                                {260, 261, 262, 263},
                                {264, 265, 266, 267},
                                {268, 269, 270, 271},
                                {272, 273, 274, 275},
                                {276, 277, 278, 279},
                                {280, 281, 282, 283},
                                {284, 285, 286, 287},
                                {288, 289, 290, 291},
                                {292, 293, 294, 295},
                                {296, 297, 298, 299},
                                {300, 301, 302, 303},
                                {304, 305, 306, 307},
                                {308, 309, 310, 311},
                                {312, 313, 314, 315},
                                {316, 317, 318, 319},
                                {320, 321, 322, 323},
                                {324, 325, 326, 327},
                                {328, 329, 330, 331},
                                {332, 333, 334, 335},
                                {336, 337, 338, 339},
                                {340, 341, 342, 343},
                                {344, 0, 0, 0},
                                {345, 0, 0, 0},
                                {346, 0, 0, 0},
                                {347, 348, 349, 350},
                                {351, 0, 0, 0},
                                {352, 0, 0, 0},
                                {353, 0, 0, 0},
                                {354, 355, 356, 357},
                                {358, 0, 0, 0},
                                {359, 0, 0, 0},
                                {360, 0, 0, 0},
                                {361, 362, 363, 364},
                                {365, 366, 367, 368},
                                {369, 370, 371, 372},
                                {373, 374, 375, 376},
                                {377, 378, 379, 380},
                                {381, 382, 383, 384},
                                {385, 386, 387, 388},
                                {389, 390, 391, 392},
                                {393, 0, 0, 0},
                                {394, 0, 0, 0},
                                {395, 0, 0, 0},
                                {396, 397, 398, 399},
                                {400, 0, 0, 0},
                                {401, 0, 0, 0},
                                {402, 403, 404, 405},
                                {406, 0, 0, 0},
                                {407, 0, 0, 0},
                                {408, 0, 0, 0},
                                {409, 410, 411, 412},
                                {413, 0, 0, 0},
                                {414, 0, 0, 0},
                                {415, 416, 417, 418},
                                {419, 420, 421, 422},
                                {423, 424, 425, 426},
                                {427, 428, 429, 430},
                                {431, 432, 433, 434},
                                {435, 0, 0, 0},
                                {436, 0, 0, 0},
                                {437, 0, 0, 0},
                                {438, 439, 440, 441},
                                {442, 0, 0, 0},
                                {443, 0, 0, 0},
                                {444, 0, 0, 0},
                                {445, 446, 447, 448},
                                {449, 0, 0, 0},
                                {450, 0, 0, 0},
                                {451, 0, 0, 0},
                                {452, 453, 454, 455},
                                {456, 457, 458, 459},
                                {460, 461, 462, 463},
                                {464, 465, 466, 467},
                                {468, 469, 470, 471},
                                {472, 473, 474, 475},
                                {476, 477, 478, 479},
                                {480, 481, 482, 483},
                                {484, 0, 0, 0},
                                {485, 0, 0, 0},
                                {486, 0, 0, 0},
                                {487, 488, 489, 490},
                                {491, 0, 0, 0},
                                {492, 0, 0, 0},
                                {493, 494, 495, 496},
                                {497, 0, 0, 0},
                                {498, 0, 0, 0},
                                {499, 0, 0, 0},
                                {500, 501, 502, 503},
                                {504, 0, 0, 0},
                                {505, 0, 0, 0},
                                {506, 507, 508, 509},
                                {510, 511, 512, 513},
                                {514, 515, 516, 517},
                                {518, 519, 520, 521},
                                {522, 523, 524, 525},
                                {526, 527, 528, 529},
                                {530, 531, 532, 533},
                                {534, 535, 536, 537},
                                {538, 539, 540, 541},
                                {542, 543, 544, 545},
                                {546, 547, 548, 549},
                                {550, 551, 552, 553},
                                {554, 555, 556, 557},
                                {558, 559, 560, 561},
                                {562, 563, 564, 565},
                                {566, 567, 568, 569},
                                {570, 571, 572, 573},
                                {574, 575, 576, 577},
                                {578, 579, 580, 581},
                                {582, 583, 584, 585},
                                {586, 587, 588, 589},
                                {590, 0, 0, 0},
                                {591, 0, 0, 0},
                                {592, 0, 0, 0},
                                {593, 594, 595, 596},
                                {597, 0, 0, 0},
                                {598, 0, 0, 0},
                                {599, 0, 0, 0},
                                {600, 601, 602, 603},
                                {604, 0, 0, 0},
                                {605, 0, 0, 0},
                                {606, 0, 0, 0},
                                {607, 608, 609, 610},
                                {611, 612, 613, 614},
                                {615, 616, 617, 618},
                                {619, 620, 621, 622},
                                {623, 624, 625, 626},
                                {627, 0, 0, 0},
                                {628, 0, 0, 0},
                                {629, 0, 0, 0},
                                {630, 631, 632, 633},
                                {634, 0, 0, 0},
                                {635, 0, 0, 0},
                                {636, 0, 0, 0},
                                {637, 638, 639, 640},
                                {641, 0, 0, 0},
                                {642, 0, 0, 0},
                                {643, 0, 0, 0},
                                {644, 645, 646, 647},
                                {648, 649, 650, 651},
                                {652, 653, 654, 655},
                                {656, 657, 658, 659},
                                {660, 661, 662, 663},
                                {664, 0, 0, 0},
                                {665, 0, 0, 0},
                                {666, 0, 0, 0},
                                {667, 668, 669, 670},
                                {671, 0, 0, 0},
                                {672, 0, 0, 0},
                                {673, 0, 0, 0},
                                {674, 675, 676, 677},
                                {678, 0, 0, 0},
                                {679, 0, 0, 0},
                                {680, 0, 0, 0},
                                {681, 682, 683, 684},
                                {685, 686, 687, 688},
                                {689, 690, 691, 692},
                                {693, 694, 695, 696},
                                {697, 698, 699, 700},
                                {701, 702, 703, 704},
                                {705, 706, 707, 708},
                                {709, 710, 711, 712},
                                {713, 714, 715, 716},
                                {717, 718, 719, 720},
                                {721, 722, 723, 724},
                                {725, 726, 727, 728},
                                {729, 730, 731, 732},
                                {733, 734, 735, 736},
                                {737, 738, 739, 740},
                                {741, 742, 743, 744},
                                {745, 746, 747, 748},
                                {749, 750, 751, 752},
                                {753, 754, 755, 756},
                                {757, 758, 759, 760},
                                {761, 762, 763, 764},
                                {765, 766, 767, 768},
                                {769, 770, 771, 772},
                                {773, 774, 775, 776},
                                {777, 778, 779, 780},
                                {781, 782, 783, 784},
                                {785, 786, 787, 788},
                                {789, 790, 791, 792},
                                {793, 794, 795, 796},
                                {797, 798, 799, 800},
                                {801, 802, 803, 804},
                                {805, 806, 807, 808},
                                {809, 810, 811, 812},
                                {813, 0, 0, 0},
                                {814, 0, 0, 0},
                                {815, 0, 0, 0},
                                {816, 817, 818, 819},
                                {820, 0, 0, 0},
                                {821, 0, 0, 0},
                                {822, 0, 0, 0},
                                {823, 824, 825, 826},
                                {827, 0, 0, 0},
                                {828, 0, 0, 0},
                                {829, 0, 0, 0},
                                {830, 831, 832, 833},
                                {834, 835, 836, 837},
                                {838, 839, 840, 841},
                                {842, 843, 844, 845},
                                {846, 847, 848, 849},
                                {850, 0, 0, 0},
                                {851, 0, 0, 0},
                                {852, 0, 0, 0},
                                {853, 854, 855, 856},
                                {857, 0, 0, 0},
                                {858, 0, 0, 0},
                                {859, 0, 0, 0},
                                {860, 861, 862, 863},
                                {864, 865, 866, 867},
                                {868, 869, 870, 871},
                                {872, 873, 874, 875},
                                {876, 877, 878, 879},
                                {880, 0, 0, 0},
                                {881, 0, 0, 0},
                                {882, 0, 0, 0},
                                {883, 884, 885, 886},
                                {887, 0, 0, 0},
                                {888, 0, 0, 0},
                                {889, 0, 0, 0},
                                {890, 891, 892, 893},
                                {894, 0, 0, 0},
                                {895, 0, 0, 0},
                                {896, 0, 0, 0},
                                {897, 898, 899, 900},
                                {901, 902, 903, 904},
                                {905, 906, 907, 908},
                                {909, 910, 911, 912},
                                {913, 914, 915, 916},
                                {917, 0, 0, 0},
                                {918, 0, 0, 0},
                                {919, 0, 0, 0},
                                {920, 921, 922, 923},
                                {924, 0, 0, 0},
                                {925, 0, 0, 0},
                                {926, 0, 0, 0},
                                {927, 928, 929, 930},
                                {931, 932, 933, 934},
                                {935, 936, 937, 938},
                                {939, 940, 941, 942},
                                {943, 944, 945, 946},
                                {947, 948, 949, 950},
                                {951, 952, 953, 954},
                                {955, 956, 957, 958},
                                {959, 960, 961, 962},
                                {963, 964, 965, 966},
                                {967, 968, 969, 970},
                                {971, 972, 973, 974},
                                {975, 976, 977, 978},
                                {979, 980, 981, 982},
                                {983, 984, 985, 986},
                                {987, 988, 989, 990},
                                {991, 992, 993, 994},
                                {995, 996, 997, 998},
                                {999, 1000, 1001, 1002},
                                {1003, 1004, 1005, 1006},
                                {1007, 1008, 1009, 1010},
                                {1011, 1012, 1013, 1014},
                                {1015, 1016, 1017, 1018},
                                {1019, 1020, 1021, 1022},
                                {1023, 1024, 1025, 1026},
                                {1027, 1028, 1029, 1030},
                                {1031, 1032, 1033, 1034},
                                {1035, 1036, 1037, 1038},
                                {1039, 1040, 1041, 1042},
                                {1043, 1044, 1045, 1046},
                                {1047, 1048, 1049, 1050},
                                {1051, 1052, 1053, 1054},
                                {1055, 1056, 1057, 1058},
                                {1059, 1060, 1061, 1062},
                                {1063, 1064, 1065, 1066},
                                {1067, 1068, 1069, 1070},
                                {1071, 1072, 1073, 1074},
                                {1075, 1076, 1077, 1078},
                                {1079, 1080, 1081, 1082},
                                {1083, 1084, 1085, 1086},
                                {1087, 1088, 1089, 1090},
                                {1091, 1092, 1093, 1094},
                                {1095, 1096, 1097, 1098},
                                {1099, 1100, 1101, 1102},
                                {1103, 1104, 1105, 1106},
                                {1107, 1108, 1109, 1110},
                                {1111, 1112, 1113, 1114},
                                {1115, 1116, 1117, 1118},
                                {1119, 1120, 1121, 1122},
                                {1123, 1124, 1125, 1126},
                                {1127, 1128, 1129, 1130},
                                {1131, 1132, 1133, 1134},
                                {1135, 1136, 1137, 1138},
                                {1139, 1140, 1141, 1142},
                                {1143, 1144, 1145, 1146},
                                {1147, 1148, 1149, 1150},
                                {1151, 1152, 1153, 1154},
                                {1155, 1156, 1157, 1158},
                                {1159, 1160, 1161, 1162},
                                {1163, 1164, 1165, 1166},
                                {1167, 1168, 1169, 1170},
                                {1171, 1172, 1173, 1174},
                                {1175, 1176, 1177, 1178},
                                {1179, 1180, 1181, 1182},
                                {1183, 1184, 1185, 1186},
                                {1187, 1188, 1189, 1190},
                                {1191, 1192, 1193, 1194},
                                {1195, 1196, 1197, 1198},
                                {1199, 1200, 1201, 1202},
                                {1203, 1204, 1205, 1206},
                                {1207, 1208, 1209, 1210},
                                {1211, 1212, 1213, 1214},
                                {1215, 1216, 1217, 1218},
                                {1219, 1220, 1221, 1222},
                                {1223, 1224, 1225, 1226},
                                {1227, 1228, 1229, 1230},
                                {1231, 1232, 1233, 1234},
                                {1235, 1236, 1237, 1238},
                                {1239, 1240, 1241, 1242},
                                {1243, 1244, 1245, 1246},
                                {1247, 1248, 1249, 1250},
                                {1251, 1252, 1253, 1254},
                                {1255, 1256, 1257, 1258},
                                {1259, 1260, 1261, 1262},
                                {1263, 1264, 1265, 1266},
                                {1267, 1268, 1269, 1270},
                                {1271, 1272, 1273, 1274},
                                {1275, 1276, 1277, 1278},
                                {1279, 1280, 1281, 1282},
                                {1283, 1284, 1285, 1286},
                                {1287, 1288, 1289, 1290},
                                {1526, 1527, 1528, 1529},
                                {1530, 1531, 1532, 1533},
                                {1534, 1535, 1536, 1537},
                                {1538, 1539, 1540, 1541},
                                {1542, 1543, 1544, 1545},
                                {1546, 1547, 1548, 1549},
                                {1550, 1551, 1552, 1553},
                                {1554, 1555, 1556, 1557},
                                {1558, 1559, 1560, 1561},
                                {1562, 1563, 1564, 1565},
                                {1566, 1567, 1568, 1569},
                                {1570, 1571, 1572, 1573},
                                {1574, 1575, 1576, 1577},
                                {1578, 1579, 1580, 1581},
                                {1582, 1583, 1584, 1585},
                                {1586, 1587, 1588, 1589},
                                {1590, 1591, 1592, 1593},
                                {1594, 1595, 1596, 1597},
                                {1598, 1599, 1600, 1601},
                                {1602, 1603, 1604, 1605},
                                {1606, 1607, 1608, 1609},
                                {1610, 0, 0, 0},
                                {1611, 0, 0, 0},
                                {1612, 0, 0, 0},
                                {1613, 1614, 1615, 1616},
                                {1617, 0, 0, 0},
                                {1618, 0, 0, 0},
                                {1619, 0, 0, 0},
                                {1620, 1621, 1622, 1623},
                                {1624, 0, 0, 0},
                                {1625, 0, 0, 0},
                                {1626, 0, 0, 0},
                                {1627, 1628, 1629, 1630},
                                {1631, 1632, 1633, 1634},
                                {1635, 1636, 1637, 1638},
                                {1639, 1640, 1641, 1642},
                                {1643, 1644, 1645, 1646},
                                {1647, 0, 0, 0},
                                {1648, 0, 0, 0},
                                {1649, 0, 0, 0},
                                {1650, 1651, 1652, 1653},
                                {1654, 0, 0, 0},
                                {1655, 0, 0, 0},
                                {1656, 0, 0, 0},
                                {1657, 1658, 1659, 1660},
                                {1661, 0, 0, 0},
                                {1662, 0, 0, 0},
                                {1663, 0, 0, 0},
                                {1664, 1665, 1666, 1667},
                                {1668, 1669, 1670, 1671},
                                {1672, 1673, 1674, 1675},
                                {1676, 1677, 1678, 1679},
                                {1680, 1681, 1682, 1683},
                                {1684, 0, 0, 0},
                                {1685, 0, 0, 0},
                                {1686, 0, 0, 0},
                                {1687, 1688, 1689, 1690},
                                {1691, 0, 0, 0},
                                {1692, 0, 0, 0},
                                {1693, 0, 0, 0},
                                {1694, 1695, 1696, 1697},
                                {1698, 0, 0, 0},
                                {1699, 0, 0, 0},
                                {1700, 0, 0, 0},
                                {1701, 1702, 1703, 1704},
                                {1705, 1706, 1707, 1708},
                                {1709, 1710, 1711, 1712},
                                {1713, 1714, 1715, 1716},
                                {1717, 1718, 1719, 1720},
                                {1721, 1722, 1723, 1724},
                                {1725, 1726, 1727, 1728},
                                {1729, 1730, 1731, 1732},
                                {1733, 1734, 1735, 1736},
                                {1737, 1738, 1739, 1740},
                                {1741, 1742, 1743, 1744},
                                {1745, 1746, 1747, 1748},
                                {1749, 1750, 1751, 1752},
                                {1753, 1754, 1755, 1756},
                                {1757, 1758, 1759, 1760},
                                {1761, 1762, 1763, 1764},
                                {1765, 1766, 1767, 1768},
                                {1769, 1770, 1771, 1772},
                                {1773, 1774, 1775, 1776},
                                {1777, 1778, 1779, 1780},
                                {1781, 1782, 1783, 1784},
                                {1785, 0, 0, 0},
                                {1786, 0, 0, 0},
                                {1787, 0, 0, 0},
                                {1788, 1789, 1790, 1791},
                                {1792, 0, 0, 0},
                                {1793, 0, 0, 0},
                                {1794, 0, 0, 0},
                                {1795, 1796, 1797, 1798},
                                {1799, 0, 0, 0},
                                {1800, 0, 0, 0},
                                {1801, 0, 0, 0},
                                {1802, 1803, 1804, 1805},
                                {1806, 1807, 1808, 1809},
                                {1810, 1811, 1812, 1813},
                                {1814, 1815, 1816, 1817},
                                {1818, 1819, 1820, 1821},
                                {1822, 0, 0, 0},
                                {1823, 0, 0, 0},
                                {1824, 0, 0, 0},
                                {1825, 1826, 1827, 1828},
                                {1829, 0, 0, 0},
                                {1830, 0, 0, 0},
                                {1831, 0, 0, 0},
                                {1832, 1833, 1834, 1835},
                                {1836, 0, 0, 0},
                                {1837, 0, 0, 0},
                                {1838, 0, 0, 0},
                                {1839, 1840, 1841, 1842},
                                {1843, 1844, 1845, 1846},
                                {1847, 1848, 1849, 1850},
                                {1851, 1852, 1853, 1854},
                                {1855, 1856, 1857, 1858},
                                {1859, 1860, 1861, 1862},
                                {1863, 1864, 1865, 1866},
                                {1867, 1868, 1869, 1870},
                                {1871, 1872, 1873, 1874},
                                {1875, 1876, 1877, 1878},
                                {1879, 1880, 1881, 1882},
                                {1883, 1884, 1885, 1886},
                                {1887, 1888, 1889, 1890},
                                {1891, 1892, 1893, 1894},
                                {1895, 1896, 1897, 1898},
                                {1899, 1900, 1901, 1902},
                                {1903, 1904, 1905, 1906},
                                {1907, 1908, 1909, 1910},
                                {1911, 1912, 1913, 1914},
                                {1915, 1916, 1917, 1918},
                                {1919, 1920, 1921, 1922},
                                {1923, 1924, 1925, 1926},
                                {1927, 1928, 1929, 1930},
                                {1931, 1932, 1933, 1934},
                                {1935, 1936, 1937, 1938},
                                {1939, 1940, 1941, 1942},
                                {1943, 1944, 1945, 1946},
                                {1947, 1948, 1949, 1950},
                                {1951, 1952, 1953, 1954},
                                {1955, 1956, 1957, 1958},
                                {1959, 1960, 1961, 1962},
                                {1963, 1964, 1965, 1966},
                                {1967, 1968, 1969, 1970},
                                {1971, 1972, 1973, 1974},
                                {1975, 1976, 1977, 1978},
                                {1979, 1980, 1981, 1982},
                                {1983, 1984, 1985, 1986},
                                {1987, 1988, 1989, 1990},
                                {1991, 1992, 1993, 1994},
                                {1995, 1996, 1997, 1998},
                                {1999, 2000, 2001, 2002},
                                {2003, 2004, 2005, 2006},
                                {2007, 2008, 2009, 2010},
                                {2011, 2012, 2013, 2014},
                                {2015, 2016, 2017, 2018},
                                {2019, 2020, 2021, 2022},
                                {2023, 2024, 2025, 2026},
                                {2027, 2028, 2029, 2030},
                                {2031, 2032, 2033, 2034},
                                {2035, 2036, 2037, 2038},
                                {2039, 2040, 2041, 2042},
                                {2043, 2044, 2045, 2046},
                                {2047, 2048, 2049, 2050},
                                {2051, 2052, 2053, 2054},
                                {2055, 2056, 2057, 2058},
                                {2059, 2060, 2061, 2062},
                                {2063, 2064, 2065, 2066},
                                {2067, 2068, 2069, 2070},
                                {2071, 2072, 2073, 2074},
                                {2075, 2076, 2077, 2078},
                                {2079, 2080, 2081, 2082},
                                {2083, 2084, 2085, 2086},
                                {2087, 2088, 2089, 2090},
                                {2091, 2092, 2093, 2094},
                                {2095, 2096, 2097, 2098},
                                {2099, 2100, 2101, 2102},
                                {2103, 2104, 2105, 2106},
                                {2276, 2277, 2278, 2279},
                                {2280, 2281, 2282, 2283},
                                {2284, 2285, 2286, 2287},
                                {2288, 2289, 2290, 2291},
                                {2292, 2293, 2294, 2295},
                                {2296, 2297, 2298, 2299},
                                {2300, 2301, 2302, 2303},
                                {2304, 2305, 2306, 2307},
                                {2308, 2309, 2310, 2311},
                                {2312, 2313, 2314, 2315},
                                {2316, 2317, 2318, 2319},
                                {2320, 2321, 2322, 2323},
                                {2324, 2325, 2326, 2327},
                                {2328, 2329, 2330, 2331},
                                {2332, 2333, 2334, 2335},
                                {2336, 2337, 2338, 2339},
                                {2340, 2341, 2342, 2343},
                                {2344, 2345, 2346, 2347},
                                {2348, 2349, 2350, 2351},
                                {2352, 2353, 2354, 2355},
                                {2356, 2357, 2358, 2359},
                                {2360, 2361, 2362, 2363},
                                {2364, 2365, 2366, 2367},
                                {2368, 2369, 2370, 2371},
                                {2372, 2373, 2374, 2375},
                                {2376, 2377, 2378, 2379},
                                {2380, 2381, 2382, 2383},
                                {2384, 2385, 2386, 2387},
                                {2388, 2389, 2390, 2391},
                                {2392, 2393, 2394, 2395},
                                {2396, 2397, 2398, 2399},
                                {2400, 2401, 2402, 2403},
                                {2404, 2405, 2406, 2407},
                                {2408, 2409, 2410, 2411},
                                {2412, 2413, 2414, 2415},
                                {2416, 2417, 2418, 2419},
                                {2420, 2421, 2422, 2423},
                                {2424, 2425, 2426, 2427},
                                {2428, 2429, 2430, 2431},
                                {2432, 2433, 2434, 2435},
                                {2436, 2437, 2438, 2439},
                                {2440, 2441, 2442, 2443},
                                {2444, 2445, 2446, 2447},
                                {2448, 2449, 2450, 2451},
                                {2452, 2453, 2454, 2455},
                                {2456, 2457, 2458, 2459},
                                {2460, 2461, 2462, 2463},
                                {2464, 2465, 2466, 2467},
                                {2468, 2469, 2470, 2471},
                                {2472, 2473, 2474, 2475},
                                {2476, 2477, 2478, 2479},
                                {2480, 2481, 2482, 2483},
                                {2711, 2712, 2713, 2714},
                                {2715, 2716, 2717, 2718},
                                {2719, 2720, 2721, 2722},
                                {2723, 2724, 2725, 2726},
                                {2727, 2728, 2729, 2730},
                                {2731, 2732, 2733, 2734},
                                {2735, 2736, 2737, 2738},
                                {2739, 2740, 2741, 2742},
                                {2743, 2744, 2745, 2746},
                                {2747, 2748, 2749, 2750},
                                {2751, 2752, 2753, 2754},
                                {2755, 2756, 2757, 2758},
                                {2759, 2760, 2761, 2762},
                                {2763, 2764, 2765, 2766},
                                {2767, 2768, 2769, 2770},
                                {2771, 2772, 2773, 2774},
                                {2775, 2776, 2777, 2778},
                                {2779, 2780, 2781, 2782},
                                {2783, 2784, 2785, 2786},
                                {2787, 2788, 2789, 2790},
                                {2791, 2792, 2793, 2794},
                                {2795, 0, 0, 0},
                                {2796, 0, 0, 0},
                                {2797, 0, 0, 0},
                                {2798, 2799, 2800, 2801},
                                {2802, 0, 0, 0},
                                {2803, 0, 0, 0},
                                {2804, 0, 0, 0},
                                {2805, 2806, 2807, 2808},
                                {2809, 0, 0, 0},
                                {2810, 0, 0, 0},
                                {2811, 0, 0, 0},
                                {2812, 2813, 2814, 2815},
                                {2816, 2817, 2818, 2819},
                                {2820, 2821, 2822, 2823},
                                {2824, 2825, 2826, 2827},
                                {2828, 2829, 2830, 2831},
                                {2832, 0, 0, 0},
                                {2833, 0, 0, 0},
                                {2834, 0, 0, 0},
                                {2835, 2836, 2837, 2838},
                                {2839, 0, 0, 0},
                                {2840, 0, 0, 0},
                                {2841, 0, 0, 0},
                                {2842, 2843, 2844, 2845},
                                {2846, 0, 0, 0},
                                {2847, 0, 0, 0},
                                {2848, 0, 0, 0},
                                {2849, 2850, 2851, 2852},
                                {2853, 2854, 2855, 2856},
                                {2857, 2858, 2859, 2860},
                                {2861, 2862, 2863, 2864},
                                {2865, 2866, 2867, 2868},
                                {2869, 0, 0, 0},
                                {2870, 0, 0, 0},
                                {2871, 0, 0, 0},
                                {2872, 2873, 2874, 2875},
                                {2876, 0, 0, 0},
                                {2877, 0, 0, 0},
                                {2878, 0, 0, 0},
                                {2879, 2880, 2881, 2882},
                                {2883, 0, 0, 0},
                                {2884, 0, 0, 0},
                                {2885, 0, 0, 0},
                                {2886, 2887, 2888, 2889},
                                {2890, 2891, 2892, 2893},
                                {2894, 2895, 2896, 2897},
                                {2898, 2899, 2900, 2901},
                                {2902, 2903, 2904, 2905},
                                {2906, 2907, 2908, 2909},
                                {2910, 2911, 2912, 2913},
                                {2914, 2915, 2916, 2917},
                                {2918, 2919, 2920, 2921},
                                {2922, 2923, 2924, 2925},
                                {2926, 2927, 2928, 2929},
                                {2930, 2931, 2932, 2933},
                                {2934, 2935, 2936, 2937},
                                {2938, 2939, 2940, 2941},
                                {2942, 2943, 2944, 2945},
                                {2946, 2947, 2948, 2949},
                                {2950, 2951, 2952, 2953},
                                {2954, 2955, 2956, 2957},
                                {2958, 2959, 2960, 2961},
                                {2962, 2963, 2964, 2965},
                                {2966, 2967, 2968, 2969},
                                {2970, 2971, 2972, 2973},
                                {2974, 2975, 2976, 2977},
                                {2978, 2979, 2980, 2981},
                                {2982, 2983, 2984, 2985},
                                {2986, 2987, 2988, 2989},
                                {2990, 2991, 2992, 2993},
                                {2994, 2995, 2996, 2997},
                                {2998, 2999, 3000, 3001},
                                {3002, 3003, 3004, 3005},
                                {3006, 3007, 3008, 3009},
                                {3010, 3011, 3012, 3013},
                                {3014, 3015, 3016, 3017},
                                {3018, 3019, 3020, 3021},
                                {3022, 3023, 3024, 3025},
                                {3026, 3027, 3028, 3029},
                                {3030, 3031, 3032, 3033},
                                {3125, 3126, 3127, 3128},
                                {3129, 3130, 3131, 3132},
                                {3133, 3134, 3135, 3136},
                                {3137, 3138, 3139, 3140},
                                {3141, 3142, 3143, 3144},
                                {3145, 3146, 3147, 3148},
                                {3149, 3150, 3151, 3152},
                                {3153, 3154, 3155, 3156},
                                {3157, 3158, 3159, 3160},
                                {3161, 3162, 3163, 3164},
                                {3165, 3166, 3167, 3168},
                                {3169, 3170, 3171, 3172},
                                {3173, 3174, 3175, 3176},
                                {3177, 3178, 3179, 3180},
                                {3181, 3182, 3183, 3184},
                                {3185, 3186, 3187, 3188},
                                {3189, 3190, 3191, 3192},
                                {3193, 3194, 3195, 3196},
                                {3197, 3198, 3199, 3200},
                                {3201, 3202, 3203, 3204},
                                {3205, 3206, 3207, 3208},
                                {3209, 3210, 3211, 3212},
                                {3213, 3214, 3215, 3216},
                                {3217, 3218, 3219, 3220},
                                {3221, 3222, 3223, 3224},
                                {3225, 3226, 3227, 3228},
                                {3229, 3230, 3231, 3232},
                                {3233, 3234, 3235, 3236},
                                {3356, 3357, 3358, 3359},
                                {3360, 3361, 3362, 3363},
                                {3364, 3365, 3366, 3367},
                                {3368, 3369, 3370, 3371},
                                {3372, 3373, 3374, 3375},
                                {3376, 3377, 3378, 3379},
                                {3380, 3381, 3382, 3383},
                                {3384, 3385, 3386, 3387},
                                {3388, 3389, 3390, 3391},
                                {3392, 3393, 3394, 3395},
                                {3396, 3397, 3398, 3399},
                                {3400, 3401, 3402, 3403},
                                {3404, 3405, 3406, 3407},
                                {3408, 3409, 3410, 3411},
                                {3412, 3413, 3414, 3415},
                                {3416, 3417, 3418, 3419}};

static const int rt2[3501][4] = {
    {0, 0, 0, 0}, {0, 0, 0, 0}, {1, 0, 0, 0}, {1, 1, 0, 0}, {1, 1, 1, 0},
    {0, 0, 0, 0}, {2, 0, 0, 0}, {2, 1, 0, 0}, {2, 1, 1, 0}, {1, 0, 0, 0},
    {2, 0, 0, 0}, {2, 2, 0, 0}, {2, 2, 1, 0}, {1, 1, 0, 0}, {2, 1, 0, 0},
    {2, 2, 0, 0}, {2, 2, 2, 0}, {0, 0, 0, 0}, {1, 0, 0, 0}, {1, 1, 0, 0},
    {1, 1, 1, 0}, {0, 0, 0, 0}, {3, 0, 0, 0}, {3, 0, 0, 0}, {3, 0, 0, 0},
    {1, 0, 0, 0}, {3, 0, 0, 0}, {3, 0, 0, 0}, {3, 0, 0, 0}, {1, 1, 0, 0},
    {3, 0, 0, 0}, {3, 0, 0, 0}, {3, 0, 0, 0}, {0, 0, 0, 0}, {2, 0, 0, 0},
    {2, 1, 0, 0}, {2, 1, 1, 0}, {0, 0, 0, 0}, {3, 0, 0, 0}, {3, 0, 0, 0},
    {3, 0, 0, 0}, {2, 0, 0, 0}, {3, 0, 0, 0}, {3, 0, 0, 0}, {3, 0, 0, 0},
    {2, 1, 0, 0}, {3, 0, 0, 0}, {3, 0, 0, 0}, {3, 0, 0, 0}, {1, 0, 0, 0},
    {2, 0, 0, 0}, {2, 2, 0, 0}, {2, 2, 1, 0}, {1, 0, 0, 0}, {3, 0, 0, 0},
    {3, 0, 0, 0}, {3, 0, 0, 0}, {2, 0, 0, 0}, {3, 0, 0, 0}, {3, 0, 0, 0},
    {3, 0, 0, 0}, {2, 2, 0, 0}, {3, 0, 0, 0}, {3, 0, 0, 0}, {3, 0, 0, 0},
    {0, 0, 0, 0}, {1, 0, 0, 0}, {1, 1, 0, 0}, {1, 1, 1, 0}, {0, 0, 0, 0},
    {2, 0, 0, 0}, {2, 1, 0, 0}, {2, 1, 1, 0}, {1, 0, 0, 0}, {2, 0, 0, 0},
    {2, 2, 0, 0}, {2, 2, 1, 0}, {1, 1, 0, 0}, {2, 1, 0, 0}, {2, 2, 0, 0},
    {2, 2, 2, 0}, {0, 0, 0, 0}, {1, 0, 0, 0}, {1, 1, 0, 0}, {1, 1, 1, 0},
    {0, 0, 0, 0}, {1, 0, 0, 0}, {1, 1, 0, 0}, {0, 0, 0, 0}, {2, 0, 0, 0},
    {2, 1, 0, 0}, {2, 1, 1, 0}, {0, 0, 0, 0}, {2, 0, 0, 0}, {2, 1, 0, 0},
    {1, 0, 0, 0}, {2, 0, 0, 0}, {2, 2, 0, 0}, {2, 2, 1, 0}, {1, 0, 0, 0},
    {2, 0, 0, 0}, {2, 2, 0, 0}, {0, 0, 0, 0}, {1, 0, 0, 0}, {1, 1, 0, 0},
    {1, 1, 1, 0}, {0, 0, 0, 0}, {3, 0, 0, 0}, {3, 0, 0, 0}, {3, 0, 0, 0},
    {1, 0, 0, 0}, {3, 0, 0, 0}, {3, 0, 0, 0}, {3, 0, 0, 0}, {1, 1, 0, 0},
    {3, 0, 0, 0}, {3, 0, 0, 0}, {3, 0, 0, 0}, {0, 0, 0, 0}, {1, 0, 0, 0},
    {1, 1, 0, 0}, {1, 1, 1, 0}, {0, 0, 0, 0}, {1, 0, 0, 0}, {1, 1, 0, 0},
    {0, 0, 0, 0}, {3, 0, 0, 0}, {3, 0, 0, 0}, {3, 0, 0, 0}, {0, 0, 0, 0},
    {3, 0, 0, 0}, {3, 0, 0, 0}, {1, 0, 0, 0}, {3, 0, 0, 0}, {3, 0, 0, 0},
    {3, 0, 0, 0}, {1, 0, 0, 0}, {3, 0, 0, 0}, {3, 0, 0, 0}, {0, 0, 0, 0},
    {2, 0, 0, 0}, {2, 1, 0, 0}, {2, 1, 1, 0}, {0, 0, 0, 0}, {3, 0, 0, 0},
    {3, 0, 0, 0}, {3, 0, 0, 0}, {2, 0, 0, 0}, {3, 0, 0, 0}, {3, 0, 0, 0},
    {3, 0, 0, 0}, {2, 1, 0, 0}, {3, 0, 0, 0}, {3, 0, 0, 0}, {3, 0, 0, 0},
    {0, 0, 0, 0}, {2, 0, 0, 0}, {2, 1, 0, 0}, {2, 1, 1, 0}, {0, 0, 0, 0},
    {2, 0, 0, 0}, {2, 1, 0, 0}, {0, 0, 0, 0}, {3, 0, 0, 0}, {3, 0, 0, 0},
    {3, 0, 0, 0}, {0, 0, 0, 0}, {3, 0, 0, 0}, {3, 0, 0, 0}, {2, 0, 0, 0},
    {3, 0, 0, 0}, {3, 0, 0, 0}, {3, 0, 0, 0}, {2, 0, 0, 0}, {3, 0, 0, 0},
    {3, 0, 0, 0}, {0, 0, 0, 0}, {1, 0, 0, 0}, {1, 1, 0, 0}, {1, 1, 1, 0},
    {0, 0, 0, 0}, {2, 0, 0, 0}, {2, 1, 0, 0}, {2, 1, 1, 0}, {1, 0, 0, 0},
    {2, 0, 0, 0}, {2, 2, 0, 0}, {2, 2, 1, 0}, {1, 1, 0, 0}, {2, 1, 0, 0},
    {2, 2, 0, 0}, {2, 2, 2, 0}, {0, 0, 0, 0}, {1, 0, 0, 0}, {1, 1, 0, 0},
    {1, 1, 1, 0}, {0, 0, 0, 0}, {3, 0, 0, 0}, {3, 0, 0, 0}, {3, 0, 0, 0},
    {1, 0, 0, 0}, {3, 0, 0, 0}, {3, 0, 0, 0}, {3, 0, 0, 0}, {1, 1, 0, 0},
    {3, 0, 0, 0}, {3, 0, 0, 0}, {3, 0, 0, 0}, {0, 0, 0, 0}, {2, 0, 0, 0},
    {2, 1, 0, 0}, {2, 1, 1, 0}, {0, 0, 0, 0}, {3, 0, 0, 0}, {3, 0, 0, 0},
    {3, 0, 0, 0}, {2, 0, 0, 0}, {3, 0, 0, 0}, {3, 0, 0, 0}, {3, 0, 0, 0},
    {2, 1, 0, 0}, {3, 0, 0, 0}, {3, 0, 0, 0}, {3, 0, 0, 0}, {1, 0, 0, 0},
    {2, 0, 0, 0}, {2, 2, 0, 0}, {2, 2, 1, 0}, {1, 0, 0, 0}, {3, 0, 0, 0},
    {3, 0, 0, 0}, {3, 0, 0, 0}, {2, 0, 0, 0}, {3, 0, 0, 0}, {3, 0, 0, 0},
    {3, 0, 0, 0}, {2, 2, 0, 0}, {3, 0, 0, 0}, {3, 0, 0, 0}, {3, 0, 0, 0},
    {0, 0, 0, 0}, {1, 0, 0, 0}, {1, 1, 0, 0}, {1, 1, 1, 0}, {0, 0, 0, 0},
    {2, 0, 0, 0}, {2, 1, 0, 0}, {2, 1, 1, 0}, {1, 0, 0, 0}, {2, 0, 0, 0},
    {2, 2, 0, 0}, {2, 2, 1, 0}, {1, 1, 0, 0}, {2, 1, 0, 0}, {2, 2, 0, 0},
    {2, 2, 2, 0}, {0, 0, 0, 0}, {1, 0, 0, 0}, {1, 1, 0, 0}, {1, 1, 1, 0},
    {0, 0, 0, 0}, {2, 0, 0, 0}, {2, 1, 0, 0}, {2, 1, 1, 0}, {1, 0, 0, 0},
    {2, 0, 0, 0}, {2, 2, 0, 0}, {2, 2, 1, 0}, {0, 0, 0, 0}, {1, 0, 0, 0},
    {1, 1, 0, 0}, {1, 1, 1, 0}, {0, 0, 0, 0}, {3, 0, 0, 0}, {3, 0, 0, 0},
    {3, 0, 0, 0}, {1, 0, 0, 0}, {3, 0, 0, 0}, {3, 0, 0, 0}, {3, 0, 0, 0},
    {1, 1, 0, 0}, {3, 0, 0, 0}, {3, 0, 0, 0}, {3, 0, 0, 0}, {0, 0, 0, 0},
    {1, 0, 0, 0}, {1, 1, 0, 0}, {1, 1, 1, 0}, {0, 0, 0, 0}, {3, 0, 0, 0},
    {3, 0, 0, 0}, {3, 0, 0, 0}, {1, 0, 0, 0}, {3, 0, 0, 0}, {3, 0, 0, 0},
    {3, 0, 0, 0}, {0, 0, 0, 0}, {2, 0, 0, 0}, {2, 1, 0, 0}, {2, 1, 1, 0},
    {0, 0, 0, 0}, {3, 0, 0, 0}, {3, 0, 0, 0}, {3, 0, 0, 0}, {2, 0, 0, 0},
    {3, 0, 0, 0}, {3, 0, 0, 0}, {3, 0, 0, 0}, {2, 1, 0, 0}, {3, 0, 0, 0},
    {3, 0, 0, 0}, {3, 0, 0, 0}, {0, 0, 0, 0}, {2, 0, 0, 0}, {2, 1, 0, 0},
    {2, 1, 1, 0}, {0, 0, 0, 0}, {3, 0, 0, 0}, {3, 0, 0, 0}, {3, 0, 0, 0},
    {2, 0, 0, 0}, {3, 0, 0, 0}, {3, 0, 0, 0}, {3, 0, 0, 0}, {0, 0, 0, 0},
    {1, 0, 0, 0}, {1, 1, 0, 0}, {1, 1, 1, 0}, {0, 0, 0, 0}, {2, 0, 0, 0},
    {2, 1, 0, 0}, {2, 1, 1, 0}, {1, 0, 0, 0}, {2, 0, 0, 0}, {2, 2, 0, 0},
    {2, 2, 1, 0}, {1, 1, 0, 0}, {2, 1, 0, 0}, {2, 2, 0, 0}, {2, 2, 2, 0},
    {0, 0, 0, 0}, {1, 0, 0, 0}, {1, 1, 0, 0}, {1, 1, 1, 0}, {0, 0, 0, 0},
    {1, 0, 0, 0}, {1, 1, 0, 0}, {0, 0, 0, 0}, {2, 0, 0, 0}, {2, 1, 0, 0},
    {2, 1, 1, 0}, {0, 0, 0, 0}, {2, 0, 0, 0}, {2, 1, 0, 0}, {1, 0, 0, 0},
    {2, 0, 0, 0}, {2, 2, 0, 0}, {2, 2, 1, 0}, {1, 0, 0, 0}, {2, 0, 0, 0},
    {2, 2, 0, 0}, {0, 0, 0, 0}, {1, 0, 0, 0}, {1, 1, 0, 0}, {1, 1, 1, 0},
    {0, 0, 0, 0}, {2, 0, 0, 0}, {2, 1, 0, 0}, {2, 1, 1, 0}, {1, 0, 0, 0},
    {2, 0, 0, 0}, {2, 2, 0, 0}, {2, 2, 1, 0}, {1, 1, 0, 0}, {2, 1, 0, 0},
    {2, 2, 0, 0}, {2, 2, 2, 0}, {0, 0, 0, 0}, {1, 0, 0, 0}, {1, 1, 0, 0},
    {1, 1, 1, 0}, {0, 0, 0, 0}, {2, 0, 0, 0}, {2, 1, 0, 0}, {2, 1, 1, 0},
    {1, 0, 0, 0}, {2, 0, 0, 0}, {2, 2, 0, 0}, {2, 2, 1, 0}, {0, 0, 0, 0},
    {1, 0, 0, 0}, {1, 1, 0, 0}, {1, 1, 1, 0}, {0, 0, 0, 0}, {1, 0, 0, 0},
    {1, 1, 0, 0}, {0, 0, 0, 0}, {1, 0, 0, 0}, {1, 1, 0, 0}, {1, 1, 1, 0},
    {0, 0, 0, 0}, {1, 0, 0, 0}, {0, 0, 0, 0}, {2, 0, 0, 0}, {2, 1, 0, 0},
    {2, 1, 1, 0}, {0, 0, 0, 0}, {2, 0, 0, 0}, {2, 1, 0, 0}, {0, 0, 0, 0},
    {2, 0, 0, 0}, {2, 1, 0, 0}, {2, 1, 1, 0}, {0, 0, 0, 0}, {2, 0, 0, 0},
    {0, 0, 0, 0}, {1, 0, 0, 0}, {1, 1, 0, 0}, {1, 1, 1, 0}, {0, 0, 0, 0},
    {3, 0, 0, 0}, {3, 0, 0, 0}, {3, 0, 0, 0}, {1, 0, 0, 0}, {3, 0, 0, 0},
    {3, 0, 0, 0}, {3, 0, 0, 0}, {1, 1, 0, 0}, {3, 0, 0, 0}, {3, 0, 0, 0},
    {3, 0, 0, 0}, {0, 0, 0, 0}, {1, 0, 0, 0}, {1, 1, 0, 0}, {1, 1, 1, 0},
    {0, 0, 0, 0}, {1, 0, 0, 0}, {1, 1, 0, 0}, {0, 0, 0, 0}, {3, 0, 0, 0},
    {3, 0, 0, 0}, {3, 0, 0, 0}, {0, 0, 0, 0}, {3, 0, 0, 0}, {3, 0, 0, 0},
    {1, 0, 0, 0}, {3, 0, 0, 0}, {3, 0, 0, 0}, {3, 0, 0, 0}, {1, 0, 0, 0},
    {3, 0, 0, 0}, {3, 0, 0, 0}, {0, 0, 0, 0}, {1, 0, 0, 0}, {1, 1, 0, 0},
    {1, 1, 1, 0}, {0, 0, 0, 0}, {3, 0, 0, 0}, {3, 0, 0, 0}, {3, 0, 0, 0},
    {1, 0, 0, 0}, {3, 0, 0, 0}, {3, 0, 0, 0}, {3, 0, 0, 0}, {1, 1, 0, 0},
    {3, 0, 0, 0}, {3, 0, 0, 0}, {3, 0, 0, 0}, {0, 0, 0, 0}, {1, 0, 0, 0},
    {1, 1, 0, 0}, {1, 1, 1, 0}, {0, 0, 0, 0}, {3, 0, 0, 0}, {3, 0, 0, 0},
    {3, 0, 0, 0}, {1, 0, 0, 0}, {3, 0, 0, 0}, {3, 0, 0, 0}, {3, 0, 0, 0},
    {0, 0, 0, 0}, {1, 0, 0, 0}, {1, 1, 0, 0}, {1, 1, 1, 0}, {0, 0, 0, 0},
    {1, 0, 0, 0}, {1, 1, 0, 0}, {0, 0, 0, 0}, {1, 0, 0, 0}, {1, 1, 0, 0},
    {1, 1, 1, 0}, {0, 0, 0, 0}, {1, 0, 0, 0}, {0, 0, 0, 0}, {3, 0, 0, 0},
    {3, 0, 0, 0}, {3, 0, 0, 0}, {0, 0, 0, 0}, {3, 0, 0, 0}, {3, 0, 0, 0},
    {0, 0, 0, 0}, {3, 0, 0, 0}, {3, 0, 0, 0}, {3, 0, 0, 0}, {0, 0, 0, 0},
    {3, 0, 0, 0}, {0, 0, 0, 0}, {1, 0, 0, 0}, {1, 1, 0, 0}, {1, 1, 1, 0},
    {0, 0, 0, 0}, {2, 0, 0, 0}, {2, 1, 0, 0}, {2, 1, 1, 0}, {1, 0, 0, 0},
    {2, 0, 0, 0}, {2, 2, 0, 0}, {2, 2, 1, 0}, {1, 1, 0, 0}, {2, 1, 0, 0},
    {2, 2, 0, 0}, {2, 2, 2, 0}, {0, 0, 0, 0}, {1, 0, 0, 0}, {1, 1, 0, 0},
    {1, 1, 1, 0}, {0, 0, 0, 0}, {3, 0, 0, 0}, {3, 0, 0, 0}, {3, 0, 0, 0},
    {1, 0, 0, 0}, {3, 0, 0, 0}, {3, 0, 0, 0}, {3, 0, 0, 0}, {1, 1, 0, 0},
    {3, 0, 0, 0}, {3, 0, 0, 0}, {3, 0, 0, 0}, {0, 0, 0, 0}, {2, 0, 0, 0},
    {2, 1, 0, 0}, {2, 1, 1, 0}, {0, 0, 0, 0}, {3, 0, 0, 0}, {3, 0, 0, 0},
    {3, 0, 0, 0}, {2, 0, 0, 0}, {3, 0, 0, 0}, {3, 0, 0, 0}, {3, 0, 0, 0},
    {2, 1, 0, 0}, {3, 0, 0, 0}, {3, 0, 0, 0}, {3, 0, 0, 0}, {1, 0, 0, 0},
    {2, 0, 0, 0}, {2, 2, 0, 0}, {2, 2, 1, 0}, {1, 0, 0, 0}, {3, 0, 0, 0},
    {3, 0, 0, 0}, {3, 0, 0, 0}, {2, 0, 0, 0}, {3, 0, 0, 0}, {3, 0, 0, 0},
    {3, 0, 0, 0}, {2, 2, 0, 0}, {3, 0, 0, 0}, {3, 0, 0, 0}, {3, 0, 0, 0},
    {0, 0, 0, 0}, {1, 0, 0, 0}, {1, 1, 0, 0}, {1, 1, 1, 0}, {0, 0, 0, 0},
    {2, 0, 0, 0}, {2, 1, 0, 0}, {2, 1, 1, 0}, {1, 0, 0, 0}, {2, 0, 0, 0},
    {2, 2, 0, 0}, {2, 2, 1, 0}, {1, 1, 0, 0}, {2, 1, 0, 0}, {2, 2, 0, 0},
    {2, 2, 2, 0}, {0, 0, 0, 0}, {1, 0, 0, 0}, {1, 1, 0, 0}, {1, 1, 1, 0},
    {0, 0, 0, 0}, {1, 0, 0, 0}, {1, 1, 0, 0}, {0, 0, 0, 0}, {2, 0, 0, 0},
    {2, 1, 0, 0}, {2, 1, 1, 0}, {0, 0, 0, 0}, {2, 0, 0, 0}, {2, 1, 0, 0},
    {1, 0, 0, 0}, {2, 0, 0, 0}, {2, 2, 0, 0}, {2, 2, 1, 0}, {1, 0, 0, 0},
    {2, 0, 0, 0}, {2, 2, 0, 0}, {0, 0, 0, 0}, {1, 0, 0, 0}, {1, 1, 0, 0},
    {1, 1, 1, 0}, {0, 0, 0, 0}, {3, 0, 0, 0}, {3, 0, 0, 0}, {3, 0, 0, 0},
    {1, 0, 0, 0}, {3, 0, 0, 0}, {3, 0, 0, 0}, {3, 0, 0, 0}, {1, 1, 0, 0},
    {3, 0, 0, 0}, {3, 0, 0, 0}, {3, 0, 0, 0}, {0, 0, 0, 0}, {1, 0, 0, 0},
    {1, 1, 0, 0}, {1, 1, 1, 0}, {0, 0, 0, 0}, {1, 0, 0, 0}, {1, 1, 0, 0},
    {0, 0, 0, 0}, {3, 0, 0, 0}, {3, 0, 0, 0}, {3, 0, 0, 0}, {0, 0, 0, 0},
    {3, 0, 0, 0}, {3, 0, 0, 0}, {1, 0, 0, 0}, {3, 0, 0, 0}, {3, 0, 0, 0},
    {3, 0, 0, 0}, {1, 0, 0, 0}, {3, 0, 0, 0}, {3, 0, 0, 0}, {0, 0, 0, 0},
    {2, 0, 0, 0}, {2, 1, 0, 0}, {2, 1, 1, 0}, {0, 0, 0, 0}, {3, 0, 0, 0},
    {3, 0, 0, 0}, {3, 0, 0, 0}, {2, 0, 0, 0}, {3, 0, 0, 0}, {3, 0, 0, 0},
    {3, 0, 0, 0}, {2, 1, 0, 0}, {3, 0, 0, 0}, {3, 0, 0, 0}, {3, 0, 0, 0},
    {0, 0, 0, 0}, {2, 0, 0, 0}, {2, 1, 0, 0}, {2, 1, 1, 0}, {0, 0, 0, 0},
    {2, 0, 0, 0}, {2, 1, 0, 0}, {0, 0, 0, 0}, {3, 0, 0, 0}, {3, 0, 0, 0},
    {3, 0, 0, 0}, {0, 0, 0, 0}, {3, 0, 0, 0}, {3, 0, 0, 0}, {2, 0, 0, 0},
    {3, 0, 0, 0}, {3, 0, 0, 0}, {3, 0, 0, 0}, {2, 0, 0, 0}, {3, 0, 0, 0},
    {3, 0, 0, 0}, {0, 0, 0, 0}, {1, 0, 0, 0}, {1, 1, 0, 0}, {1, 1, 1, 0},
    {0, 0, 0, 0}, {2, 0, 0, 0}, {2, 1, 0, 0}, {2, 1, 1, 0}, {1, 0, 0, 0},
    {2, 0, 0, 0}, {2, 2, 0, 0}, {2, 2, 1, 0}, {1, 1, 0, 0}, {2, 1, 0, 0},
    {2, 2, 0, 0}, {2, 2, 2, 0}, {0, 0, 0, 0}, {1, 0, 0, 0}, {1, 1, 0, 0},
    {1, 1, 1, 0}, {0, 0, 0, 0}, {3, 0, 0, 0}, {3, 0, 0, 0}, {3, 0, 0, 0},
    {1, 0, 0, 0}, {3, 0, 0, 0}, {3, 0, 0, 0}, {3, 0, 0, 0}, {1, 1, 0, 0},
    {3, 0, 0, 0}, {3, 0, 0, 0}, {3, 0, 0, 0}, {0, 0, 0, 0}, {2, 0, 0, 0},
    {2, 1, 0, 0}, {2, 1, 1, 0}, {0, 0, 0, 0}, {3, 0, 0, 0}, {3, 0, 0, 0},
    {3, 0, 0, 0}, {2, 0, 0, 0}, {3, 0, 0, 0}, {3, 0, 0, 0}, {3, 0, 0, 0},
    {2, 1, 0, 0}, {3, 0, 0, 0}, {3, 0, 0, 0}, {3, 0, 0, 0}, {1, 0, 0, 0},
    {2, 0, 0, 0}, {2, 2, 0, 0}, {2, 2, 1, 0}, {1, 0, 0, 0}, {3, 0, 0, 0},
    {3, 0, 0, 0}, {3, 0, 0, 0}, {2, 0, 0, 0}, {3, 0, 0, 0}, {3, 0, 0, 0},
    {3, 0, 0, 0}, {2, 2, 0, 0}, {3, 0, 0, 0}, {3, 0, 0, 0}, {3, 0, 0, 0},
    {0, 0, 0, 0}, {1, 0, 0, 0}, {1, 1, 0, 0}, {1, 1, 1, 0}, {0, 0, 0, 0},
    {2, 0, 0, 0}, {2, 1, 0, 0}, {2, 1, 1, 0}, {1, 0, 0, 0}, {2, 0, 0, 0},
    {2, 2, 0, 0}, {2, 2, 1, 0}, {1, 1, 0, 0}, {2, 1, 0, 0}, {2, 2, 0, 0},
    {2, 2, 2, 0}, {0, 0, 0, 0}, {1, 0, 0, 0}, {1, 1, 0, 0}, {1, 1, 1, 0},
    {0, 0, 0, 0}, {3, 0, 0, 0}, {3, 0, 0, 0}, {3, 0, 0, 0}, {1, 0, 0, 0},
    {3, 0, 0, 0}, {3, 0, 0, 0}, {3, 0, 0, 0}, {1, 1, 0, 0}, {3, 0, 0, 0},
    {3, 0, 0, 0}, {3, 0, 0, 0}, {0, 0, 0, 0}, {2, 0, 0, 0}, {2, 1, 0, 0},
    {2, 1, 1, 0}, {0, 0, 0, 0}, {3, 0, 0, 0}, {3, 0, 0, 0}, {3, 0, 0, 0},
    {2, 0, 0, 0}, {3, 0, 0, 0}, {3, 0, 0, 0}, {3, 0, 0, 0}, {2, 1, 0, 0},
    {3, 0, 0, 0}, {3, 0, 0, 0}, {3, 0, 0, 0}, {0, 0, 0, 0}, {1, 0, 0, 0},
    {1, 1, 0, 0}, {1, 1, 1, 0}, {0, 0, 0, 0}, {2, 0, 0, 0}, {2, 1, 0, 0},
    {2, 1, 1, 0}, {1, 0, 0, 0}, {2, 0, 0, 0}, {2, 2, 0, 0}, {2, 2, 1, 0},
    {1, 1, 0, 0}, {2, 1, 0, 0}, {2, 2, 0, 0}, {2, 2, 2, 0}, {0, 0, 0, 0},
    {1, 0, 0, 0}, {1, 1, 0, 0}, {1, 1, 1, 0}, {0, 0, 0, 0}, {1, 0, 0, 0},
    {1, 1, 0, 0}, {0, 0, 0, 0}, {2, 0, 0, 0}, {2, 1, 0, 0}, {2, 1, 1, 0},
    {0, 0, 0, 0}, {2, 0, 0, 0}, {2, 1, 0, 0}, {1, 0, 0, 0}, {2, 0, 0, 0},
    {2, 2, 0, 0}, {2, 2, 1, 0}, {1, 0, 0, 0}, {2, 0, 0, 0}, {2, 2, 0, 0},
    {0, 0, 0, 0}, {1, 0, 0, 0}, {1, 1, 0, 0}, {1, 1, 1, 0}, {0, 0, 0, 0},
    {2, 0, 0, 0}, {2, 1, 0, 0}, {2, 1, 1, 0}, {1, 0, 0, 0}, {2, 0, 0, 0},
    {2, 2, 0, 0}, {2, 2, 1, 0}, {1, 1, 0, 0}, {2, 1, 0, 0}, {2, 2, 0, 0},
    {2, 2, 2, 0}, {0, 0, 0, 0}, {1, 0, 0, 0}, {1, 1, 0, 0}, {1, 1, 1, 0},
    {0, 0, 0, 0}, {1, 0, 0, 0}, {1, 1, 0, 0}, {0, 0, 0, 0}, {2, 0, 0, 0},
    {2, 1, 0, 0}, {2, 1, 1, 0}, {0, 0, 0, 0}, {2, 0, 0, 0}, {2, 1, 0, 0},
    {0, 0, 0, 0}, {1, 0, 0, 0}, {1, 1, 0, 0}, {1, 1, 1, 0}, {0, 0, 0, 0},
    {3, 0, 0, 0}, {3, 0, 0, 0}, {3, 0, 0, 0}, {1, 0, 0, 0}, {3, 0, 0, 0},
    {3, 0, 0, 0}, {3, 0, 0, 0}, {1, 1, 0, 0}, {3, 0, 0, 0}, {3, 0, 0, 0},
    {3, 0, 0, 0}, {0, 0, 0, 0}, {1, 0, 0, 0}, {1, 1, 0, 0}, {1, 1, 1, 0},
    {0, 0, 0, 0}, {1, 0, 0, 0}, {1, 1, 0, 0}, {0, 0, 0, 0}, {3, 0, 0, 0},
    {3, 0, 0, 0}, {3, 0, 0, 0}, {0, 0, 0, 0}, {3, 0, 0, 0}, {3, 0, 0, 0},
    {1, 0, 0, 0}, {3, 0, 0, 0}, {3, 0, 0, 0}, {3, 0, 0, 0}, {1, 0, 0, 0},
    {3, 0, 0, 0}, {3, 0, 0, 0}, {0, 0, 0, 0}, {1, 0, 0, 0}, {1, 1, 0, 0},
    {1, 1, 1, 0}, {0, 0, 0, 0}, {3, 0, 0, 0}, {3, 0, 0, 0}, {3, 0, 0, 0},
    {1, 0, 0, 0}, {3, 0, 0, 0}, {3, 0, 0, 0}, {3, 0, 0, 0}, {1, 1, 0, 0},
    {3, 0, 0, 0}, {3, 0, 0, 0}, {3, 0, 0, 0}, {0, 0, 0, 0}, {1, 0, 0, 0},
    {1, 1, 0, 0}, {1, 1, 1, 0}, {0, 0, 0, 0}, {1, 0, 0, 0}, {1, 1, 0, 0},
    {0, 0, 0, 0}, {3, 0, 0, 0}, {3, 0, 0, 0}, {3, 0, 0, 0}, {0, 0, 0, 0},
    {3, 0, 0, 0}, {3, 0, 0, 0}, {0, 0, 0, 0}, {1, 0, 0, 0}, {1, 1, 0, 0},
    {1, 1, 1, 0}, {0, 0, 0, 0}, {2, 0, 0, 0}, {2, 1, 0, 0}, {2, 1, 1, 0},
    {1, 0, 0, 0}, {2, 0, 0, 0}, {2, 2, 0, 0}, {2, 2, 1, 0}, {1, 1, 0, 0},
    {2, 1, 0, 0}, {2, 2, 0, 0}, {2, 2, 2, 0}, {0, 0, 0, 0}, {1, 0, 0, 0},
    {1, 1, 0, 0}, {1, 1, 1, 0}, {0, 0, 0, 0}, {3, 0, 0, 0}, {3, 0, 0, 0},
    {3, 0, 0, 0}, {1, 0, 0, 0}, {3, 0, 0, 0}, {3, 0, 0, 0}, {3, 0, 0, 0},
    {1, 1, 0, 0}, {3, 0, 0, 0}, {3, 0, 0, 0}, {3, 0, 0, 0}, {0, 0, 0, 0},
    {2, 0, 0, 0}, {2, 1, 0, 0}, {2, 1, 1, 0}, {0, 0, 0, 0}, {3, 0, 0, 0},
    {3, 0, 0, 0}, {3, 0, 0, 0}, {2, 0, 0, 0}, {3, 0, 0, 0}, {3, 0, 0, 0},
    {3, 0, 0, 0}, {2, 1, 0, 0}, {3, 0, 0, 0}, {3, 0, 0, 0}, {3, 0, 0, 0},
    {1, 0, 0, 0}, {2, 0, 0, 0}, {2, 2, 0, 0}, {2, 2, 1, 0}, {1, 0, 0, 0},
    {3, 0, 0, 0}, {3, 0, 0, 0}, {3, 0, 0, 0}, {2, 0, 0, 0}, {3, 0, 0, 0},
    {3, 0, 0, 0}, {3, 0, 0, 0}, {2, 2, 0, 0}, {3, 0, 0, 0}, {3, 0, 0, 0},
    {3, 0, 0, 0}, {0, 0, 0, 0}, {1, 0, 0, 0}, {1, 1, 0, 0}, {1, 1, 1, 0},
    {0, 0, 0, 0}, {2, 0, 0, 0}, {2, 1, 0, 0}, {2, 1, 1, 0}, {1, 0, 0, 0},
    {2, 0, 0, 0}, {2, 2, 0, 0}, {2, 2, 1, 0}, {1, 1, 0, 0}, {2, 1, 0, 0},
    {2, 2, 0, 0}, {2, 2, 2, 0}, {0, 0, 0, 0}, {1, 0, 0, 0}, {1, 1, 0, 0},
    {1, 1, 1, 0}, {0, 0, 0, 0}, {2, 0, 0, 0}, {2, 1, 0, 0}, {2, 1, 1, 0},
    {1, 0, 0, 0}, {2, 0, 0, 0}, {2, 2, 0, 0}, {2, 2, 1, 0}, {0, 0, 0, 0},
    {1, 0, 0, 0}, {1, 1, 0, 0}, {1, 1, 1, 0}, {0, 0, 0, 0}, {3, 0, 0, 0},
    {3, 0, 0, 0}, {3, 0, 0, 0}, {1, 0, 0, 0}, {3, 0, 0, 0}, {3, 0, 0, 0},
    {3, 0, 0, 0}, {1, 1, 0, 0}, {3, 0, 0, 0}, {3, 0, 0, 0}, {3, 0, 0, 0},
    {0, 0, 0, 0}, {1, 0, 0, 0}, {1, 1, 0, 0}, {1, 1, 1, 0}, {0, 0, 0, 0},
    {3, 0, 0, 0}, {3, 0, 0, 0}, {3, 0, 0, 0}, {1, 0, 0, 0}, {3, 0, 0, 0},
    {3, 0, 0, 0}, {3, 0, 0, 0}, {0, 0, 0, 0}, {2, 0, 0, 0}, {2, 1, 0, 0},
    {2, 1, 1, 0}, {0, 0, 0, 0}, {3, 0, 0, 0}, {3, 0, 0, 0}, {3, 0, 0, 0},
    {2, 0, 0, 0}, {3, 0, 0, 0}, {3, 0, 0, 0}, {3, 0, 0, 0}, {2, 1, 0, 0},
    {3, 0, 0, 0}, {3, 0, 0, 0}, {3, 0, 0, 0}, {0, 0, 0, 0}, {2, 0, 0, 0},
    {2, 1, 0, 0}, {2, 1, 1, 0}, {0, 0, 0, 0}, {3, 0, 0, 0}, {3, 0, 0, 0},
    {3, 0, 0, 0}, {2, 0, 0, 0}, {3, 0, 0, 0}, {3, 0, 0, 0}, {3, 0, 0, 0},
    {0, 0, 0, 0}, {1, 0, 0, 0}, {1, 1, 0, 0}, {1, 1, 1, 0}, {0, 0, 0, 0},
    {2, 0, 0, 0}, {2, 1, 0, 0}, {2, 1, 1, 0}, {1, 0, 0, 0}, {2, 0, 0, 0},
    {2, 2, 0, 0}, {2, 2, 1, 0}, {1, 1, 0, 0}, {2, 1, 0, 0}, {2, 2, 0, 0},
    {2, 2, 2, 0}, {0, 0, 0, 0}, {1, 0, 0, 0}, {1, 1, 0, 0}, {1, 1, 1, 0},
    {0, 0, 0, 0}, {3, 0, 0, 0}, {3, 0, 0, 0}, {3, 0, 0, 0}, {1, 0, 0, 0},
    {3, 0, 0, 0}, {3, 0, 0, 0}, {3, 0, 0, 0}, {1, 1, 0, 0}, {3, 0, 0, 0},
    {3, 0, 0, 0}, {3, 0, 0, 0}, {0, 0, 0, 0}, {2, 0, 0, 0}, {2, 1, 0, 0},
    {2, 1, 1, 0}, {0, 0, 0, 0}, {3, 0, 0, 0}, {3, 0, 0, 0}, {3, 0, 0, 0},
    {2, 0, 0, 0}, {3, 0, 0, 0}, {3, 0, 0, 0}, {3, 0, 0, 0}, {2, 1, 0, 0},
    {3, 0, 0, 0}, {3, 0, 0, 0}, {3, 0, 0, 0}, {1, 0, 0, 0}, {2, 0, 0, 0},
    {2, 2, 0, 0}, {2, 2, 1, 0}, {1, 0, 0, 0}, {3, 0, 0, 0}, {3, 0, 0, 0},
    {3, 0, 0, 0}, {2, 0, 0, 0}, {3, 0, 0, 0}, {3, 0, 0, 0}, {3, 0, 0, 0},
    {2, 2, 0, 0}, {3, 0, 0, 0}, {3, 0, 0, 0}, {3, 0, 0, 0}, {0, 0, 0, 0},
    {1, 0, 0, 0}, {1, 1, 0, 0}, {1, 1, 1, 0}, {0, 0, 0, 0}, {2, 0, 0, 0},
    {2, 1, 0, 0}, {2, 1, 1, 0}, {1, 0, 0, 0}, {2, 0, 0, 0}, {2, 2, 0, 0},
    {2, 2, 1, 0}, {1, 1, 0, 0}, {2, 1, 0, 0}, {2, 2, 0, 0}, {2, 2, 2, 0},
    {0, 0, 0, 0}, {1, 0, 0, 0}, {1, 1, 0, 0}, {1, 1, 1, 0}, {0, 0, 0, 0},
    {3, 0, 0, 0}, {3, 0, 0, 0}, {3, 0, 0, 0}, {1, 0, 0, 0}, {3, 0, 0, 0},
    {3, 0, 0, 0}, {3, 0, 0, 0}, {1, 1, 0, 0}, {3, 0, 0, 0}, {3, 0, 0, 0},
    {3, 0, 0, 0}, {0, 0, 0, 0}, {2, 0, 0, 0}, {2, 1, 0, 0}, {2, 1, 1, 0},
    {0, 0, 0, 0}, {3, 0, 0, 0}, {3, 0, 0, 0}, {3, 0, 0, 0}, {2, 0, 0, 0},
    {3, 0, 0, 0}, {3, 0, 0, 0}, {3, 0, 0, 0}, {2, 1, 0, 0}, {3, 0, 0, 0},
    {3, 0, 0, 0}, {3, 0, 0, 0}, {0, 0, 0, 0}, {1, 0, 0, 0}, {1, 1, 0, 0},
    {1, 1, 1, 0}, {0, 0, 0, 0}, {2, 0, 0, 0}, {2, 1, 0, 0}, {2, 1, 1, 0},
    {1, 0, 0, 0}, {2, 0, 0, 0}, {2, 2, 0, 0}, {2, 2, 1, 0}, {1, 1, 0, 0},
    {2, 1, 0, 0}, {2, 2, 0, 0}, {2, 2, 2, 0}, {0, 0, 0, 0}, {1, 0, 0, 0},
    {1, 1, 0, 0}, {1, 1, 1, 0}, {0, 0, 0, 0}, {2, 0, 0, 0}, {2, 1, 0, 0},
    {2, 1, 1, 0}, {1, 0, 0, 0}, {2, 0, 0, 0}, {2, 2, 0, 0}, {2, 2, 1, 0},
    {0, 0, 0, 0}, {1, 0, 0, 0}, {1, 1, 0, 0}, {1, 1, 1, 0}, {0, 0, 0, 0},
    {2, 0, 0, 0}, {2, 1, 0, 0}, {2, 1, 1, 0}, {1, 0, 0, 0}, {2, 0, 0, 0},
    {2, 2, 0, 0}, {2, 2, 1, 0}, {1, 1, 0, 0}, {2, 1, 0, 0}, {2, 2, 0, 0},
    {2, 2, 2, 0}, {0, 0, 0, 0}, {1, 0, 0, 0}, {1, 1, 0, 0}, {1, 1, 1, 0},
    {0, 0, 0, 0}, {2, 0, 0, 0}, {2, 1, 0, 0}, {2, 1, 1, 0}, {0, 0, 0, 0},
    {1, 0, 0, 0}, {1, 1, 0, 0}, {1, 1, 1, 0}, {0, 0, 0, 0}, {3, 0, 0, 0},
    {3, 0, 0, 0}, {3, 0, 0, 0}, {1, 0, 0, 0}, {3, 0, 0, 0}, {3, 0, 0, 0},
    {3, 0, 0, 0}, {1, 1, 0, 0}, {3, 0, 0, 0}, {3, 0, 0, 0}, {3, 0, 0, 0},
    {0, 0, 0, 0}, {1, 0, 0, 0}, {1, 1, 0, 0}, {1, 1, 1, 0}, {0, 0, 0, 0},
    {3, 0, 0, 0}, {3, 0, 0, 0}, {3, 0, 0, 0}, {1, 0, 0, 0}, {3, 0, 0, 0},
    {3, 0, 0, 0}, {3, 0, 0, 0}, {0, 0, 0, 0}, {1, 0, 0, 0}, {1, 1, 0, 0},
    {1, 1, 1, 0}, {0, 0, 0, 0}, {3, 0, 0, 0}, {3, 0, 0, 0}, {3, 0, 0, 0},
    {1, 0, 0, 0}, {3, 0, 0, 0}, {3, 0, 0, 0}, {3, 0, 0, 0}, {1, 1, 0, 0},
    {3, 0, 0, 0}, {3, 0, 0, 0}, {3, 0, 0, 0}, {0, 0, 0, 0}, {1, 0, 0, 0},
    {1, 1, 0, 0}, {1, 1, 1, 0}, {0, 0, 0, 0}, {3, 0, 0, 0}, {3, 0, 0, 0},
    {3, 0, 0, 0}, {0, 0, 0, 0}, {1, 0, 0, 0}, {1, 1, 0, 0}, {1, 1, 1, 0},
    {0, 0, 0, 0}, {2, 0, 0, 0}, {2, 1, 0, 0}, {2, 1, 1, 0}, {1, 0, 0, 0},
    {2, 0, 0, 0}, {2, 2, 0, 0}, {2, 2, 1, 0}, {1, 1, 0, 0}, {2, 1, 0, 0},
    {2, 2, 0, 0}, {2, 2, 2, 0}, {0, 0, 0, 0}, {1, 0, 0, 0}, {1, 1, 0, 0},
    {1, 1, 1, 0}, {0, 0, 0, 0}, {1, 0, 0, 0}, {1, 1, 0, 0}, {0, 0, 0, 0},
    {2, 0, 0, 0}, {2, 1, 0, 0}, {2, 1, 1, 0}, {0, 0, 0, 0}, {2, 0, 0, 0},
    {2, 1, 0, 0}, {1, 0, 0, 0}, {2, 0, 0, 0}, {2, 2, 0, 0}, {2, 2, 1, 0},
    {1, 0, 0, 0}, {2, 0, 0, 0}, {2, 2, 0, 0}, {0, 0, 0, 0}, {1, 0, 0, 0},
    {1, 1, 0, 0}, {1, 1, 1, 0}, {0, 0, 0, 0}, {2, 0, 0, 0}, {2, 1, 0, 0},
    {2, 1, 1, 0}, {1, 0, 0, 0}, {2, 0, 0, 0}, {2, 2, 0, 0}, {2, 2, 1, 0},
    {1, 1, 0, 0}, {2, 1, 0, 0}, {2, 2, 0, 0}, {2, 2, 2, 0}, {0, 0, 0, 0},
    {1, 0, 0, 0}, {1, 1, 0, 0}, {1, 1, 1, 0}, {0, 0, 0, 0}, {2, 0, 0, 0},
    {2, 1, 0, 0}, {2, 1, 1, 0}, {1, 0, 0, 0}, {2, 0, 0, 0}, {2, 2, 0, 0},
    {2, 2, 1, 0}, {0, 0, 0, 0}, {1, 0, 0, 0}, {1, 1, 0, 0}, {1, 1, 1, 0},
    {0, 0, 0, 0}, {1, 0, 0, 0}, {1, 1, 0, 0}, {0, 0, 0, 0}, {1, 0, 0, 0},
    {1, 1, 0, 0}, {1, 1, 1, 0}, {0, 0, 0, 0}, {1, 0, 0, 0}, {0, 0, 0, 0},
    {2, 0, 0, 0}, {2, 1, 0, 0}, {2, 1, 1, 0}, {0, 0, 0, 0}, {2, 0, 0, 0},
    {2, 1, 0, 0}, {0, 0, 0, 0}, {2, 0, 0, 0}, {2, 1, 0, 0}, {2, 1, 1, 0},
    {0, 0, 0, 0}, {2, 0, 0, 0}, {0, 0, 0, 0}, {1, 0, 0, 0}, {1, 1, 0, 0},
    {1, 1, 1, 0}, {0, 0, 0, 0}, {2, 0, 0, 0}, {2, 1, 0, 0}, {2, 1, 1, 0},
    {1, 0, 0, 0}, {2, 0, 0, 0}, {2, 2, 0, 0}, {2, 2, 1, 0}, {1, 1, 0, 0},
    {2, 1, 0, 0}, {2, 2, 0, 0}, {2, 2, 2, 0}, {0, 0, 0, 0}, {1, 0, 0, 0},
    {1, 1, 0, 0}, {1, 1, 1, 0}, {0, 0, 0, 0}, {1, 0, 0, 0}, {1, 1, 0, 0},
    {0, 0, 0, 0}, {2, 0, 0, 0}, {2, 1, 0, 0}, {2, 1, 1, 0}, {0, 0, 0, 0},
    {2, 0, 0, 0}, {2, 1, 0, 0}, {1, 0, 0, 0}, {2, 0, 0, 0}, {2, 2, 0, 0},
    {2, 2, 1, 0}, {1, 0, 0, 0}, {2, 0, 0, 0}, {2, 2, 0, 0}, {0, 0, 0, 0},
    {1, 0, 0, 0}, {1, 1, 0, 0}, {1, 1, 1, 0}, {0, 0, 0, 0}, {2, 0, 0, 0},
    {2, 1, 0, 0}, {2, 1, 1, 0}, {1, 0, 0, 0}, {2, 0, 0, 0}, {2, 2, 0, 0},
    {2, 2, 1, 0}, {1, 1, 0, 0}, {2, 1, 0, 0}, {2, 2, 0, 0}, {2, 2, 2, 0},
    {0, 0, 0, 0}, {1, 0, 0, 0}, {1, 1, 0, 0}, {1, 1, 1, 0}, {0, 0, 0, 0},
    {1, 0, 0, 0}, {1, 1, 0, 0}, {0, 0, 0, 0}, {2, 0, 0, 0}, {2, 1, 0, 0},
    {2, 1, 1, 0}, {0, 0, 0, 0}, {2, 0, 0, 0}, {2, 1, 0, 0}, {0, 0, 0, 0},
    {1, 0, 0, 0}, {1, 1, 0, 0}, {1, 1, 1, 0}, {0, 0, 0, 0}, {2, 0, 0, 0},
    {2, 1, 0, 0}, {2, 1, 1, 0}, {1, 0, 0, 0}, {2, 0, 0, 0}, {2, 2, 0, 0},
    {2, 2, 1, 0}, {1, 1, 0, 0}, {2, 1, 0, 0}, {2, 2, 0, 0}, {2, 2, 2, 0},
    {0, 0, 0, 0}, {1, 0, 0, 0}, {1, 1, 0, 0}, {1, 1, 1, 0}, {0, 0, 0, 0},
    {2, 0, 0, 0}, {2, 1, 0, 0}, {2, 1, 1, 0}, {1, 0, 0, 0}, {2, 0, 0, 0},
    {2, 2, 0, 0}, {2, 2, 1, 0}, {0, 0, 0, 0}, {1, 0, 0, 0}, {1, 1, 0, 0},
    {1, 1, 1, 0}, {0, 0, 0, 0}, {2, 0, 0, 0}, {2, 1, 0, 0}, {2, 1, 1, 0},
    {1, 0, 0, 0}, {2, 0, 0, 0}, {2, 2, 0, 0}, {2, 2, 1, 0}, {1, 1, 0, 0},
    {2, 1, 0, 0}, {2, 2, 0, 0}, {2, 2, 2, 0}, {0, 0, 0, 0}, {1, 0, 0, 0},
    {1, 1, 0, 0}, {1, 1, 1, 0}, {0, 0, 0, 0}, {2, 0, 0, 0}, {2, 1, 0, 0},
    {2, 1, 1, 0}, {0, 0, 0, 0}, {1, 0, 0, 0}, {1, 1, 0, 0}, {1, 1, 1, 0},
    {0, 0, 0, 0}, {1, 0, 0, 0}, {1, 1, 0, 0}, {0, 0, 0, 0}, {1, 0, 0, 0},
    {1, 1, 0, 0}, {1, 1, 1, 0}, {0, 0, 0, 0}, {1, 0, 0, 0}, {0, 0, 0, 0},
    {1, 0, 0, 0}, {1, 1, 0, 0}, {1, 1, 1, 0}, {0, 0, 0, 0}, {1, 0, 0, 0},
    {1, 1, 0, 0}, {0, 0, 0, 0}, {1, 0, 0, 0}, {1, 1, 0, 0}, {1, 1, 1, 0},
    {0, 0, 0, 0}, {0, 0, 0, 0}, {1, 0, 0, 0}, {1, 1, 0, 0}, {1, 1, 1, 0},
    {0, 0, 0, 0}, {2, 0, 0, 0}, {2, 1, 0, 0}, {2, 1, 1, 0}, {1, 0, 0, 0},
    {2, 0, 0, 0}, {2, 2, 0, 0}, {2, 2, 1, 0}, {1, 1, 0, 0}, {2, 1, 0, 0},
    {2, 2, 0, 0}, {2, 2, 2, 0}, {0, 0, 0, 0}, {1, 0, 0, 0}, {1, 1, 0, 0},
    {1, 1, 1, 0}, {0, 0, 0, 0}, {3, 0, 0, 0}, {3, 0, 0, 0}, {3, 0, 0, 0},
    {1, 0, 0, 0}, {3, 0, 0, 0}, {3, 0, 0, 0}, {3, 0, 0, 0}, {1, 1, 0, 0},
    {3, 0, 0, 0}, {3, 0, 0, 0}, {3, 0, 0, 0}, {0, 0, 0, 0}, {2, 0, 0, 0},
    {2, 1, 0, 0}, {2, 1, 1, 0}, {0, 0, 0, 0}, {3, 0, 0, 0}, {3, 0, 0, 0},
    {3, 0, 0, 0}, {2, 0, 0, 0}, {3, 0, 0, 0}, {3, 0, 0, 0}, {3, 0, 0, 0},
    {2, 1, 0, 0}, {3, 0, 0, 0}, {3, 0, 0, 0}, {3, 0, 0, 0}, {1, 0, 0, 0},
    {2, 0, 0, 0}, {2, 2, 0, 0}, {2, 2, 1, 0}, {1, 0, 0, 0}, {3, 0, 0, 0},
    {3, 0, 0, 0}, {3, 0, 0, 0}, {2, 0, 0, 0}, {3, 0, 0, 0}, {3, 0, 0, 0},
    {3, 0, 0, 0}, {2, 2, 0, 0}, {3, 0, 0, 0}, {3, 0, 0, 0}, {3, 0, 0, 0},
    {0, 0, 0, 0}, {1, 0, 0, 0}, {1, 1, 0, 0}, {1, 1, 1, 0}, {0, 0, 0, 0},
    {2, 0, 0, 0}, {2, 1, 0, 0}, {2, 1, 1, 0}, {1, 0, 0, 0}, {2, 0, 0, 0},
    {2, 2, 0, 0}, {2, 2, 1, 0}, {1, 1, 0, 0}, {2, 1, 0, 0}, {2, 2, 0, 0},
    {2, 2, 2, 0}, {0, 0, 0, 0}, {1, 0, 0, 0}, {1, 1, 0, 0}, {1, 1, 1, 0},
    {0, 0, 0, 0}, {1, 0, 0, 0}, {1, 1, 0, 0}, {0, 0, 0, 0}, {2, 0, 0, 0},
    {2, 1, 0, 0}, {2, 1, 1, 0}, {0, 0, 0, 0}, {2, 0, 0, 0}, {2, 1, 0, 0},
    {1, 0, 0, 0}, {2, 0, 0, 0}, {2, 2, 0, 0}, {2, 2, 1, 0}, {1, 0, 0, 0},
    {2, 0, 0, 0}, {2, 2, 0, 0}, {0, 0, 0, 0}, {1, 0, 0, 0}, {1, 1, 0, 0},
    {1, 1, 1, 0}, {0, 0, 0, 0}, {3, 0, 0, 0}, {3, 0, 0, 0}, {3, 0, 0, 0},
    {1, 0, 0, 0}, {3, 0, 0, 0}, {3, 0, 0, 0}, {3, 0, 0, 0}, {1, 1, 0, 0},
    {3, 0, 0, 0}, {3, 0, 0, 0}, {3, 0, 0, 0}, {0, 0, 0, 0}, {1, 0, 0, 0},
    {1, 1, 0, 0}, {1, 1, 1, 0}, {0, 0, 0, 0}, {1, 0, 0, 0}, {1, 1, 0, 0},
    {0, 0, 0, 0}, {3, 0, 0, 0}, {3, 0, 0, 0}, {3, 0, 0, 0}, {0, 0, 0, 0},
    {3, 0, 0, 0}, {3, 0, 0, 0}, {1, 0, 0, 0}, {3, 0, 0, 0}, {3, 0, 0, 0},
    {3, 0, 0, 0}, {1, 0, 0, 0}, {3, 0, 0, 0}, {3, 0, 0, 0}, {0, 0, 0, 0},
    {2, 0, 0, 0}, {2, 1, 0, 0}, {2, 1, 1, 0}, {0, 0, 0, 0}, {3, 0, 0, 0},
    {3, 0, 0, 0}, {3, 0, 0, 0}, {2, 0, 0, 0}, {3, 0, 0, 0}, {3, 0, 0, 0},
    {3, 0, 0, 0}, {2, 1, 0, 0}, {3, 0, 0, 0}, {3, 0, 0, 0}, {3, 0, 0, 0},
    {0, 0, 0, 0}, {2, 0, 0, 0}, {2, 1, 0, 0}, {2, 1, 1, 0}, {0, 0, 0, 0},
    {2, 0, 0, 0}, {2, 1, 0, 0}, {0, 0, 0, 0}, {3, 0, 0, 0}, {3, 0, 0, 0},
    {3, 0, 0, 0}, {0, 0, 0, 0}, {3, 0, 0, 0}, {3, 0, 0, 0}, {2, 0, 0, 0},
    {3, 0, 0, 0}, {3, 0, 0, 0}, {3, 0, 0, 0}, {2, 0, 0, 0}, {3, 0, 0, 0},
    {3, 0, 0, 0}, {0, 0, 0, 0}, {1, 0, 0, 0}, {1, 1, 0, 0}, {1, 1, 1, 0},
    {0, 0, 0, 0}, {2, 0, 0, 0}, {2, 1, 0, 0}, {2, 1, 1, 0}, {1, 0, 0, 0},
    {2, 0, 0, 0}, {2, 2, 0, 0}, {2, 2, 1, 0}, {1, 1, 0, 0}, {2, 1, 0, 0},
    {2, 2, 0, 0}, {2, 2, 2, 0}, {0, 0, 0, 0}, {1, 0, 0, 0}, {1, 1, 0, 0},
    {1, 1, 1, 0}, {0, 0, 0, 0}, {3, 0, 0, 0}, {3, 0, 0, 0}, {3, 0, 0, 0},
    {1, 0, 0, 0}, {3, 0, 0, 0}, {3, 0, 0, 0}, {3, 0, 0, 0}, {1, 1, 0, 0},
    {3, 0, 0, 0}, {3, 0, 0, 0}, {3, 0, 0, 0}, {0, 0, 0, 0}, {2, 0, 0, 0},
    {2, 1, 0, 0}, {2, 1, 1, 0}, {0, 0, 0, 0}, {3, 0, 0, 0}, {3, 0, 0, 0},
    {3, 0, 0, 0}, {2, 0, 0, 0}, {3, 0, 0, 0}, {3, 0, 0, 0}, {3, 0, 0, 0},
    {2, 1, 0, 0}, {3, 0, 0, 0}, {3, 0, 0, 0}, {3, 0, 0, 0}, {1, 0, 0, 0},
    {2, 0, 0, 0}, {2, 2, 0, 0}, {2, 2, 1, 0}, {1, 0, 0, 0}, {3, 0, 0, 0},
    {3, 0, 0, 0}, {3, 0, 0, 0}, {2, 0, 0, 0}, {3, 0, 0, 0}, {3, 0, 0, 0},
    {3, 0, 0, 0}, {2, 2, 0, 0}, {3, 0, 0, 0}, {3, 0, 0, 0}, {3, 0, 0, 0},
    {0, 0, 0, 0}, {1, 0, 0, 0}, {1, 1, 0, 0}, {1, 1, 1, 0}, {0, 0, 0, 0},
    {2, 0, 0, 0}, {2, 1, 0, 0}, {2, 1, 1, 0}, {1, 0, 0, 0}, {2, 0, 0, 0},
    {2, 2, 0, 0}, {2, 2, 1, 0}, {1, 1, 0, 0}, {2, 1, 0, 0}, {2, 2, 0, 0},
    {2, 2, 2, 0}, {0, 0, 0, 0}, {1, 0, 0, 0}, {1, 1, 0, 0}, {1, 1, 1, 0},
    {0, 0, 0, 0}, {1, 0, 0, 0}, {1, 1, 0, 0}, {0, 0, 0, 0}, {2, 0, 0, 0},
    {2, 1, 0, 0}, {2, 1, 1, 0}, {0, 0, 0, 0}, {2, 0, 0, 0}, {2, 1, 0, 0},
    {1, 0, 0, 0}, {2, 0, 0, 0}, {2, 2, 0, 0}, {2, 2, 1, 0}, {1, 0, 0, 0},
    {2, 0, 0, 0}, {2, 2, 0, 0}, {0, 0, 0, 0}, {1, 0, 0, 0}, {1, 1, 0, 0},
    {1, 1, 1, 0}, {0, 0, 0, 0}, {3, 0, 0, 0}, {3, 0, 0, 0}, {3, 0, 0, 0},
    {1, 0, 0, 0}, {3, 0, 0, 0}, {3, 0, 0, 0}, {3, 0, 0, 0}, {1, 1, 0, 0},
    {3, 0, 0, 0}, {3, 0, 0, 0}, {3, 0, 0, 0}, {0, 0, 0, 0}, {1, 0, 0, 0},
    {1, 1, 0, 0}, {1, 1, 1, 0}, {0, 0, 0, 0}, {1, 0, 0, 0}, {1, 1, 0, 0},
    {0, 0, 0, 0}, {3, 0, 0, 0}, {3, 0, 0, 0}, {3, 0, 0, 0}, {0, 0, 0, 0},
    {3, 0, 0, 0}, {3, 0, 0, 0}, {1, 0, 0, 0}, {3, 0, 0, 0}, {3, 0, 0, 0},
    {3, 0, 0, 0}, {1, 0, 0, 0}, {3, 0, 0, 0}, {3, 0, 0, 0}, {0, 0, 0, 0},
    {1, 0, 0, 0}, {1, 1, 0, 0}, {1, 1, 1, 0}, {0, 0, 0, 0}, {2, 0, 0, 0},
    {2, 1, 0, 0}, {2, 1, 1, 0}, {1, 0, 0, 0}, {2, 0, 0, 0}, {2, 2, 0, 0},
    {2, 2, 1, 0}, {1, 1, 0, 0}, {2, 1, 0, 0}, {2, 2, 0, 0}, {2, 2, 2, 0},
    {0, 0, 0, 0}, {1, 0, 0, 0}, {1, 1, 0, 0}, {1, 1, 1, 0}, {0, 0, 0, 0},
    {3, 0, 0, 0}, {3, 0, 0, 0}, {3, 0, 0, 0}, {1, 0, 0, 0}, {3, 0, 0, 0},
    {3, 0, 0, 0}, {3, 0, 0, 0}, {1, 1, 0, 0}, {3, 0, 0, 0}, {3, 0, 0, 0},
    {3, 0, 0, 0}, {0, 0, 0, 0}, {2, 0, 0, 0}, {2, 1, 0, 0}, {2, 1, 1, 0},
    {0, 0, 0, 0}, {3, 0, 0, 0}, {3, 0, 0, 0}, {3, 0, 0, 0}, {2, 0, 0, 0},
    {3, 0, 0, 0}, {3, 0, 0, 0}, {3, 0, 0, 0}, {2, 1, 0, 0}, {3, 0, 0, 0},
    {3, 0, 0, 0}, {3, 0, 0, 0}, {1, 0, 0, 0}, {2, 0, 0, 0}, {2, 2, 0, 0},
    {2, 2, 1, 0}, {1, 0, 0, 0}, {3, 0, 0, 0}, {3, 0, 0, 0}, {3, 0, 0, 0},
    {2, 0, 0, 0}, {3, 0, 0, 0}, {3, 0, 0, 0}, {3, 0, 0, 0}, {2, 2, 0, 0},
    {3, 0, 0, 0}, {3, 0, 0, 0}, {3, 0, 0, 0}, {0, 0, 0, 0}, {1, 0, 0, 0},
    {1, 1, 0, 0}, {1, 1, 1, 0}, {0, 0, 0, 0}, {2, 0, 0, 0}, {2, 1, 0, 0},
    {2, 1, 1, 0}, {1, 0, 0, 0}, {2, 0, 0, 0}, {2, 2, 0, 0}, {2, 2, 1, 0},
    {1, 1, 0, 0}, {2, 1, 0, 0}, {2, 2, 0, 0}, {2, 2, 2, 0}, {0, 0, 0, 0},
    {1, 0, 0, 0}, {1, 1, 0, 0}, {1, 1, 1, 0}, {0, 0, 0, 0}, {2, 0, 0, 0},
    {2, 1, 0, 0}, {2, 1, 1, 0}, {1, 0, 0, 0}, {2, 0, 0, 0}, {2, 2, 0, 0},
    {2, 2, 1, 0}, {0, 0, 0, 0}, {1, 0, 0, 0}, {1, 1, 0, 0}, {1, 1, 1, 0},
    {0, 0, 0, 0}, {3, 0, 0, 0}, {3, 0, 0, 0}, {3, 0, 0, 0}, {1, 0, 0, 0},
    {3, 0, 0, 0}, {3, 0, 0, 0}, {3, 0, 0, 0}, {1, 1, 0, 0}, {3, 0, 0, 0},
    {3, 0, 0, 0}, {3, 0, 0, 0}, {0, 0, 0, 0}, {1, 0, 0, 0}, {1, 1, 0, 0},
    {1, 1, 1, 0}, {0, 0, 0, 0}, {3, 0, 0, 0}, {3, 0, 0, 0}, {3, 0, 0, 0},
    {1, 0, 0, 0}, {3, 0, 0, 0}, {3, 0, 0, 0}, {3, 0, 0, 0}, {0, 0, 0, 0},
    {2, 0, 0, 0}, {2, 1, 0, 0}, {2, 1, 1, 0}, {0, 0, 0, 0}, {3, 0, 0, 0},
    {3, 0, 0, 0}, {3, 0, 0, 0}, {2, 0, 0, 0}, {3, 0, 0, 0}, {3, 0, 0, 0},
    {3, 0, 0, 0}, {2, 1, 0, 0}, {3, 0, 0, 0}, {3, 0, 0, 0}, {3, 0, 0, 0},
    {0, 0, 0, 0}, {2, 0, 0, 0}, {2, 1, 0, 0}, {2, 1, 1, 0}, {0, 0, 0, 0},
    {3, 0, 0, 0}, {3, 0, 0, 0}, {3, 0, 0, 0}, {2, 0, 0, 0}, {3, 0, 0, 0},
    {3, 0, 0, 0}, {3, 0, 0, 0}, {0, 0, 0, 0}, {1, 0, 0, 0}, {1, 1, 0, 0},
    {1, 1, 1, 0}, {0, 0, 0, 0}, {2, 0, 0, 0}, {2, 1, 0, 0}, {2, 1, 1, 0},
    {1, 0, 0, 0}, {2, 0, 0, 0}, {2, 2, 0, 0}, {2, 2, 1, 0}, {1, 1, 0, 0},
    {2, 1, 0, 0}, {2, 2, 0, 0}, {2, 2, 2, 0}, {0, 0, 0, 0}, {1, 0, 0, 0},
    {1, 1, 0, 0}, {1, 1, 1, 0}, {0, 0, 0, 0}, {3, 0, 0, 0}, {3, 0, 0, 0},
    {3, 0, 0, 0}, {1, 0, 0, 0}, {3, 0, 0, 0}, {3, 0, 0, 0}, {3, 0, 0, 0},
    {1, 1, 0, 0}, {3, 0, 0, 0}, {3, 0, 0, 0}, {3, 0, 0, 0}, {0, 0, 0, 0},
    {2, 0, 0, 0}, {2, 1, 0, 0}, {2, 1, 1, 0}, {0, 0, 0, 0}, {3, 0, 0, 0},
    {3, 0, 0, 0}, {3, 0, 0, 0}, {2, 0, 0, 0}, {3, 0, 0, 0}, {3, 0, 0, 0},
    {3, 0, 0, 0}, {2, 1, 0, 0}, {3, 0, 0, 0}, {3, 0, 0, 0}, {3, 0, 0, 0},
    {1, 0, 0, 0}, {2, 0, 0, 0}, {2, 2, 0, 0}, {2, 2, 1, 0}, {1, 0, 0, 0},
    {3, 0, 0, 0}, {3, 0, 0, 0}, {3, 0, 0, 0}, {2, 0, 0, 0}, {3, 0, 0, 0},
    {3, 0, 0, 0}, {3, 0, 0, 0}, {2, 2, 0, 0}, {3, 0, 0, 0}, {3, 0, 0, 0},
    {3, 0, 0, 0}, {0, 0, 0, 0}, {1, 0, 0, 0}, {1, 1, 0, 0}, {1, 1, 1, 0},
    {0, 0, 0, 0}, {2, 0, 0, 0}, {2, 1, 0, 0}, {2, 1, 1, 0}, {1, 0, 0, 0},
    {2, 0, 0, 0}, {2, 2, 0, 0}, {2, 2, 1, 0}, {1, 1, 0, 0}, {2, 1, 0, 0},
    {2, 2, 0, 0}, {2, 2, 2, 0}, {0, 0, 0, 0}, {1, 0, 0, 0}, {1, 1, 0, 0},
    {1, 1, 1, 0}, {0, 0, 0, 0}, {2, 0, 0, 0}, {2, 1, 0, 0}, {2, 1, 1, 0},
    {1, 0, 0, 0}, {2, 0, 0, 0}, {2, 2, 0, 0}, {2, 2, 1, 0}, {0, 0, 0, 0},
    {1, 0, 0, 0}, {1, 1, 0, 0}, {1, 1, 1, 0}, {0, 0, 0, 0}, {3, 0, 0, 0},
    {3, 0, 0, 0}, {3, 0, 0, 0}, {1, 0, 0, 0}, {3, 0, 0, 0}, {3, 0, 0, 0},
    {3, 0, 0, 0}, {1, 1, 0, 0}, {3, 0, 0, 0}, {3, 0, 0, 0}, {3, 0, 0, 0},
    {0, 0, 0, 0}, {1, 0, 0, 0}, {1, 1, 0, 0}, {1, 1, 1, 0}, {0, 0, 0, 0},
    {3, 0, 0, 0}, {3, 0, 0, 0}, {3, 0, 0, 0}, {1, 0, 0, 0}, {3, 0, 0, 0},
    {3, 0, 0, 0}, {3, 0, 0, 0}, {0, 0, 0, 0}, {1, 0, 0, 0}, {1, 1, 0, 0},
    {1, 1, 1, 0}, {0, 0, 0, 0}, {2, 0, 0, 0}, {2, 1, 0, 0}, {2, 1, 1, 0},
    {1, 0, 0, 0}, {2, 0, 0, 0}, {2, 2, 0, 0}, {2, 2, 1, 0}, {1, 1, 0, 0},
    {2, 1, 0, 0}, {2, 2, 0, 0}, {2, 2, 2, 0}, {0, 0, 0, 0}, {1, 0, 0, 0},
    {1, 1, 0, 0}, {1, 1, 1, 0}, {0, 0, 0, 0}, {1, 0, 0, 0}, {1, 1, 0, 0},
    {0, 0, 0, 0}, {2, 0, 0, 0}, {2, 1, 0, 0}, {2, 1, 1, 0}, {0, 0, 0, 0},
    {2, 0, 0, 0}, {2, 1, 0, 0}, {1, 0, 0, 0}, {2, 0, 0, 0}, {2, 2, 0, 0},
    {2, 2, 1, 0}, {1, 0, 0, 0}, {2, 0, 0, 0}, {2, 2, 0, 0}, {0, 0, 0, 0},
    {1, 0, 0, 0}, {1, 1, 0, 0}, {1, 1, 1, 0}, {0, 0, 0, 0}, {2, 0, 0, 0},
    {2, 1, 0, 0}, {2, 1, 1, 0}, {1, 0, 0, 0}, {2, 0, 0, 0}, {2, 2, 0, 0},
    {2, 2, 1, 0}, {1, 1, 0, 0}, {2, 1, 0, 0}, {2, 2, 0, 0}, {2, 2, 2, 0},
    {0, 0, 0, 0}, {1, 0, 0, 0}, {1, 1, 0, 0}, {1, 1, 1, 0}, {0, 0, 0, 0},
    {2, 0, 0, 0}, {2, 1, 0, 0}, {2, 1, 1, 0}, {1, 0, 0, 0}, {2, 0, 0, 0},
    {2, 2, 0, 0}, {2, 2, 1, 0}, {0, 0, 0, 0}, {1, 0, 0, 0}, {1, 1, 0, 0},
    {1, 1, 1, 0}, {0, 0, 0, 0}, {1, 0, 0, 0}, {1, 1, 0, 0}, {0, 0, 0, 0},
    {1, 0, 0, 0}, {1, 1, 0, 0}, {1, 1, 1, 0}, {0, 0, 0, 0}, {1, 0, 0, 0},
    {0, 0, 0, 0}, {2, 0, 0, 0}, {2, 1, 0, 0}, {2, 1, 1, 0}, {0, 0, 0, 0},
    {2, 0, 0, 0}, {2, 1, 0, 0}, {0, 0, 0, 0}, {2, 0, 0, 0}, {2, 1, 0, 0},
    {2, 1, 1, 0}, {0, 0, 0, 0}, {2, 0, 0, 0}, {0, 0, 0, 0}, {1, 0, 0, 0},
    {1, 1, 0, 0}, {1, 1, 1, 0}, {0, 0, 0, 0}, {2, 0, 0, 0}, {2, 1, 0, 0},
    {2, 1, 1, 0}, {1, 0, 0, 0}, {2, 0, 0, 0}, {2, 2, 0, 0}, {2, 2, 1, 0},
    {1, 1, 0, 0}, {2, 1, 0, 0}, {2, 2, 0, 0}, {2, 2, 2, 0}, {0, 0, 0, 0},
    {1, 0, 0, 0}, {1, 1, 0, 0}, {1, 1, 1, 0}, {0, 0, 0, 0}, {1, 0, 0, 0},
    {1, 1, 0, 0}, {0, 0, 0, 0}, {2, 0, 0, 0}, {2, 1, 0, 0}, {2, 1, 1, 0},
    {0, 0, 0, 0}, {2, 0, 0, 0}, {2, 1, 0, 0}, {1, 0, 0, 0}, {2, 0, 0, 0},
    {2, 2, 0, 0}, {2, 2, 1, 0}, {1, 0, 0, 0}, {2, 0, 0, 0}, {2, 2, 0, 0},
    {0, 0, 0, 0}, {1, 0, 0, 0}, {1, 1, 0, 0}, {1, 1, 1, 0}, {0, 0, 0, 0},
    {2, 0, 0, 0}, {2, 1, 0, 0}, {2, 1, 1, 0}, {1, 0, 0, 0}, {2, 0, 0, 0},
    {2, 2, 0, 0}, {2, 2, 1, 0}, {1, 1, 0, 0}, {2, 1, 0, 0}, {2, 2, 0, 0},
    {2, 2, 2, 0}, {0, 0, 0, 0}, {1, 0, 0, 0}, {1, 1, 0, 0}, {1, 1, 1, 0},
    {0, 0, 0, 0}, {2, 0, 0, 0}, {2, 1, 0, 0}, {2, 1, 1, 0}, {1, 0, 0, 0},
    {2, 0, 0, 0}, {2, 2, 0, 0}, {2, 2, 1, 0}, {0, 0, 0, 0}, {1, 0, 0, 0},
    {1, 1, 0, 0}, {1, 1, 1, 0}, {0, 0, 0, 0}, {1, 0, 0, 0}, {1, 1, 0, 0},
    {0, 0, 0, 0}, {1, 0, 0, 0}, {1, 1, 0, 0}, {1, 1, 1, 0}, {0, 0, 0, 0},
    {1, 0, 0, 0}, {0, 0, 0, 0}, {1, 0, 0, 0}, {1, 1, 0, 0}, {1, 1, 1, 0},
    {0, 0, 0, 0}, {2, 0, 0, 0}, {2, 1, 0, 0}, {2, 1, 1, 0}, {1, 0, 0, 0},
    {2, 0, 0, 0}, {2, 2, 0, 0}, {2, 2, 1, 0}, {1, 1, 0, 0}, {2, 1, 0, 0},
    {2, 2, 0, 0}, {2, 2, 2, 0}, {0, 0, 0, 0}, {1, 0, 0, 0}, {1, 1, 0, 0},
    {1, 1, 1, 0}, {0, 0, 0, 0}, {3, 0, 0, 0}, {3, 0, 0, 0}, {3, 0, 0, 0},
    {1, 0, 0, 0}, {3, 0, 0, 0}, {3, 0, 0, 0}, {3, 0, 0, 0}, {1, 1, 0, 0},
    {3, 0, 0, 0}, {3, 0, 0, 0}, {3, 0, 0, 0}, {0, 0, 0, 0}, {2, 0, 0, 0},
    {2, 1, 0, 0}, {2, 1, 1, 0}, {0, 0, 0, 0}, {3, 0, 0, 0}, {3, 0, 0, 0},
    {3, 0, 0, 0}, {2, 0, 0, 0}, {3, 0, 0, 0}, {3, 0, 0, 0}, {3, 0, 0, 0},
    {2, 1, 0, 0}, {3, 0, 0, 0}, {3, 0, 0, 0}, {3, 0, 0, 0}, {1, 0, 0, 0},
    {2, 0, 0, 0}, {2, 2, 0, 0}, {2, 2, 1, 0}, {1, 0, 0, 0}, {3, 0, 0, 0},
    {3, 0, 0, 0}, {3, 0, 0, 0}, {2, 0, 0, 0}, {3, 0, 0, 0}, {3, 0, 0, 0},
    {3, 0, 0, 0}, {2, 2, 0, 0}, {3, 0, 0, 0}, {3, 0, 0, 0}, {3, 0, 0, 0},
    {0, 0, 0, 0}, {1, 0, 0, 0}, {1, 1, 0, 0}, {1, 1, 1, 0}, {0, 0, 0, 0},
    {2, 0, 0, 0}, {2, 1, 0, 0}, {2, 1, 1, 0}, {1, 0, 0, 0}, {2, 0, 0, 0},
    {2, 2, 0, 0}, {2, 2, 1, 0}, {1, 1, 0, 0}, {2, 1, 0, 0}, {2, 2, 0, 0},
    {2, 2, 2, 0}, {0, 0, 0, 0}, {1, 0, 0, 0}, {1, 1, 0, 0}, {1, 1, 1, 0},
    {0, 0, 0, 0}, {3, 0, 0, 0}, {3, 0, 0, 0}, {3, 0, 0, 0}, {1, 0, 0, 0},
    {3, 0, 0, 0}, {3, 0, 0, 0}, {3, 0, 0, 0}, {1, 1, 0, 0}, {3, 0, 0, 0},
    {3, 0, 0, 0}, {3, 0, 0, 0}, {0, 0, 0, 0}, {2, 0, 0, 0}, {2, 1, 0, 0},
    {2, 1, 1, 0}, {0, 0, 0, 0}, {3, 0, 0, 0}, {3, 0, 0, 0}, {3, 0, 0, 0},
    {2, 0, 0, 0}, {3, 0, 0, 0}, {3, 0, 0, 0}, {3, 0, 0, 0}, {2, 1, 0, 0},
    {3, 0, 0, 0}, {3, 0, 0, 0}, {3, 0, 0, 0}, {0, 0, 0, 0}, {1, 0, 0, 0},
    {1, 1, 0, 0}, {1, 1, 1, 0}, {0, 0, 0, 0}, {2, 0, 0, 0}, {2, 1, 0, 0},
    {2, 1, 1, 0}, {1, 0, 0, 0}, {2, 0, 0, 0}, {2, 2, 0, 0}, {2, 2, 1, 0},
    {1, 1, 0, 0}, {2, 1, 0, 0}, {2, 2, 0, 0}, {2, 2, 2, 0}, {0, 0, 0, 0},
    {1, 0, 0, 0}, {1, 1, 0, 0}, {1, 1, 1, 0}, {0, 0, 0, 0}, {3, 0, 0, 0},
    {3, 0, 0, 0}, {3, 0, 0, 0}, {1, 0, 0, 0}, {3, 0, 0, 0}, {3, 0, 0, 0},
    {3, 0, 0, 0}, {1, 1, 0, 0}, {3, 0, 0, 0}, {3, 0, 0, 0}, {3, 0, 0, 0},
    {0, 0, 0, 0}, {2, 0, 0, 0}, {2, 1, 0, 0}, {2, 1, 1, 0}, {0, 0, 0, 0},
    {3, 0, 0, 0}, {3, 0, 0, 0}, {3, 0, 0, 0}, {2, 0, 0, 0}, {3, 0, 0, 0},
    {3, 0, 0, 0}, {3, 0, 0, 0}, {2, 1, 0, 0}, {3, 0, 0, 0}, {3, 0, 0, 0},
    {3, 0, 0, 0}, {1, 0, 0, 0}, {2, 0, 0, 0}, {2, 2, 0, 0}, {2, 2, 1, 0},
    {1, 0, 0, 0}, {3, 0, 0, 0}, {3, 0, 0, 0}, {3, 0, 0, 0}, {2, 0, 0, 0},
    {3, 0, 0, 0}, {3, 0, 0, 0}, {3, 0, 0, 0}, {2, 2, 0, 0}, {3, 0, 0, 0},
    {3, 0, 0, 0}, {3, 0, 0, 0}, {0, 0, 0, 0}, {1, 0, 0, 0}, {1, 1, 0, 0},
    {1, 1, 1, 0}, {0, 0, 0, 0}, {2, 0, 0, 0}, {2, 1, 0, 0}, {2, 1, 1, 0},
    {1, 0, 0, 0}, {2, 0, 0, 0}, {2, 2, 0, 0}, {2, 2, 1, 0}, {1, 1, 0, 0},
    {2, 1, 0, 0}, {2, 2, 0, 0}, {2, 2, 2, 0}, {0, 0, 0, 0}, {1, 0, 0, 0},
    {1, 1, 0, 0}, {1, 1, 1, 0}, {0, 0, 0, 0}, {3, 0, 0, 0}, {3, 0, 0, 0},
    {3, 0, 0, 0}, {1, 0, 0, 0}, {3, 0, 0, 0}, {3, 0, 0, 0}, {3, 0, 0, 0},
    {1, 1, 0, 0}, {3, 0, 0, 0}, {3, 0, 0, 0}, {3, 0, 0, 0}, {0, 0, 0, 0},
    {1, 0, 0, 0}, {1, 1, 0, 0}, {1, 1, 1, 0}, {0, 0, 0, 0}, {2, 0, 0, 0},
    {2, 1, 0, 0}, {2, 1, 1, 0}, {1, 0, 0, 0}, {2, 0, 0, 0}, {2, 2, 0, 0},
    {2, 2, 1, 0}, {1, 1, 0, 0}, {2, 1, 0, 0}, {2, 2, 0, 0}, {2, 2, 2, 0},
    {0, 0, 0, 0}, {1, 0, 0, 0}, {1, 1, 0, 0}, {1, 1, 1, 0}, {0, 0, 0, 0},
    {1, 0, 0, 0}, {1, 1, 0, 0}, {0, 0, 0, 0}, {2, 0, 0, 0}, {2, 1, 0, 0},
    {2, 1, 1, 0}, {0, 0, 0, 0}, {2, 0, 0, 0}, {2, 1, 0, 0}, {1, 0, 0, 0},
    {2, 0, 0, 0}, {2, 2, 0, 0}, {2, 2, 1, 0}, {1, 0, 0, 0}, {2, 0, 0, 0},
    {2, 2, 0, 0}, {0, 0, 0, 0}, {1, 0, 0, 0}, {1, 1, 0, 0}, {1, 1, 1, 0},
    {0, 0, 0, 0}, {2, 0, 0, 0}, {2, 1, 0, 0}, {2, 1, 1, 0}, {1, 0, 0, 0},
    {2, 0, 0, 0}, {2, 2, 0, 0}, {2, 2, 1, 0}, {1, 1, 0, 0}, {2, 1, 0, 0},
    {2, 2, 0, 0}, {2, 2, 2, 0}, {0, 0, 0, 0}, {1, 0, 0, 0}, {1, 1, 0, 0},
    {1, 1, 1, 0}, {0, 0, 0, 0}, {1, 0, 0, 0}, {1, 1, 0, 0}, {0, 0, 0, 0},
    {2, 0, 0, 0}, {2, 1, 0, 0}, {2, 1, 1, 0}, {0, 0, 0, 0}, {2, 0, 0, 0},
    {2, 1, 0, 0}, {0, 0, 0, 0}, {1, 0, 0, 0}, {1, 1, 0, 0}, {1, 1, 1, 0},
    {0, 0, 0, 0}, {2, 0, 0, 0}, {2, 1, 0, 0}, {2, 1, 1, 0}, {1, 0, 0, 0},
    {2, 0, 0, 0}, {2, 2, 0, 0}, {2, 2, 1, 0}, {1, 1, 0, 0}, {2, 1, 0, 0},
    {2, 2, 0, 0}, {2, 2, 2, 0}, {0, 0, 0, 0}, {1, 0, 0, 0}, {1, 1, 0, 0},
    {1, 1, 1, 0}, {0, 0, 0, 0}, {1, 0, 0, 0}, {1, 1, 0, 0}, {0, 0, 0, 0},
    {2, 0, 0, 0}, {2, 1, 0, 0}, {2, 1, 1, 0}, {0, 0, 0, 0}, {2, 0, 0, 0},
    {2, 1, 0, 0}, {1, 0, 0, 0}, {2, 0, 0, 0}, {2, 2, 0, 0}, {2, 2, 1, 0},
    {1, 0, 0, 0}, {2, 0, 0, 0}, {2, 2, 0, 0}, {0, 0, 0, 0}, {1, 0, 0, 0},
    {1, 1, 0, 0}, {1, 1, 1, 0}, {0, 0, 0, 0}, {2, 0, 0, 0}, {2, 1, 0, 0},
    {2, 1, 1, 0}, {1, 0, 0, 0}, {2, 0, 0, 0}, {2, 2, 0, 0}, {2, 2, 1, 0},
    {1, 1, 0, 0}, {2, 1, 0, 0}, {2, 2, 0, 0}, {2, 2, 2, 0}, {0, 0, 0, 0},
    {1, 0, 0, 0}, {1, 1, 0, 0}, {1, 1, 1, 0}, {0, 0, 0, 0}, {1, 0, 0, 0},
    {1, 1, 0, 0}, {0, 0, 0, 0}, {1, 0, 0, 0}, {1, 1, 0, 0}, {1, 1, 1, 0},
    {0, 0, 0, 0}, {2, 0, 0, 0}, {2, 1, 0, 0}, {2, 1, 1, 0}, {1, 0, 0, 0},
    {2, 0, 0, 0}, {2, 2, 0, 0}, {2, 2, 1, 0}, {1, 1, 0, 0}, {2, 1, 0, 0},
    {2, 2, 0, 0}, {2, 2, 2, 0}, {0, 0, 0, 0}, {1, 0, 0, 0}, {1, 1, 0, 0},
    {1, 1, 1, 0}, {0, 0, 0, 0}, {2, 0, 0, 0}, {2, 1, 0, 0}, {2, 1, 1, 0},
    {1, 0, 0, 0}, {2, 0, 0, 0}, {2, 2, 0, 0}, {2, 2, 1, 0}, {0, 0, 0, 0},
    {1, 0, 0, 0}, {1, 1, 0, 0}, {1, 1, 1, 0}, {0, 0, 0, 0}, {2, 0, 0, 0},
    {2, 1, 0, 0}, {2, 1, 1, 0}, {1, 0, 0, 0}, {2, 0, 0, 0}, {2, 2, 0, 0},
    {2, 2, 1, 0}, {1, 1, 0, 0}, {2, 1, 0, 0}, {2, 2, 0, 0}, {2, 2, 2, 0},
    {0, 0, 0, 0}, {1, 0, 0, 0}, {1, 1, 0, 0}, {1, 1, 1, 0}, {0, 0, 0, 0},
    {2, 0, 0, 0}, {2, 1, 0, 0}, {2, 1, 1, 0}, {0, 0, 0, 0}, {1, 0, 0, 0},
    {1, 1, 0, 0}, {1, 1, 1, 0}, {0, 0, 0, 0}, {2, 0, 0, 0}, {2, 1, 0, 0},
    {2, 1, 1, 0}, {1, 0, 0, 0}, {2, 0, 0, 0}, {2, 2, 0, 0}, {2, 2, 1, 0},
    {1, 1, 0, 0}, {2, 1, 0, 0}, {2, 2, 0, 0}, {2, 2, 2, 0}, {0, 0, 0, 0},
    {1, 0, 0, 0}, {1, 1, 0, 0}, {1, 1, 1, 0}, {0, 0, 0, 0}, {2, 0, 0, 0},
    {2, 1, 0, 0}, {2, 1, 1, 0}, {1, 0, 0, 0}, {2, 0, 0, 0}, {2, 2, 0, 0},
    {2, 2, 1, 0}, {0, 0, 0, 0}, {1, 0, 0, 0}, {1, 1, 0, 0}, {1, 1, 1, 0},
    {0, 0, 0, 0}, {2, 0, 0, 0}, {2, 1, 0, 0}, {2, 1, 1, 0}, {1, 0, 0, 0},
    {2, 0, 0, 0}, {2, 2, 0, 0}, {2, 2, 1, 0}, {1, 1, 0, 0}, {2, 1, 0, 0},
    {2, 2, 0, 0}, {2, 2, 2, 0}, {0, 0, 0, 0}, {1, 0, 0, 0}, {1, 1, 0, 0},
    {1, 1, 1, 0}, {0, 0, 0, 0}, {1, 0, 0, 0}, {1, 1, 0, 0}, {1, 1, 1, 0},
    {0, 0, 0, 0}, {2, 0, 0, 0}, {2, 1, 0, 0}, {2, 1, 1, 0}, {1, 0, 0, 0},
    {2, 0, 0, 0}, {2, 2, 0, 0}, {2, 2, 1, 0}, {1, 1, 0, 0}, {2, 1, 0, 0},
    {2, 2, 0, 0}, {2, 2, 2, 0}, {0, 0, 0, 0}, {1, 0, 0, 0}, {1, 1, 0, 0},
    {1, 1, 1, 0}, {0, 0, 0, 0}, {3, 0, 0, 0}, {3, 0, 0, 0}, {3, 0, 0, 0},
    {1, 0, 0, 0}, {3, 0, 0, 0}, {3, 0, 0, 0}, {3, 0, 0, 0}, {1, 1, 0, 0},
    {3, 0, 0, 0}, {3, 0, 0, 0}, {3, 0, 0, 0}, {0, 0, 0, 0}, {2, 0, 0, 0},
    {2, 1, 0, 0}, {2, 1, 1, 0}, {0, 0, 0, 0}, {3, 0, 0, 0}, {3, 0, 0, 0},
    {3, 0, 0, 0}, {2, 0, 0, 0}, {3, 0, 0, 0}, {3, 0, 0, 0}, {3, 0, 0, 0},
    {2, 1, 0, 0}, {3, 0, 0, 0}, {3, 0, 0, 0}, {3, 0, 0, 0}, {1, 0, 0, 0},
    {2, 0, 0, 0}, {2, 2, 0, 0}, {2, 2, 1, 0}, {1, 0, 0, 0}, {3, 0, 0, 0},
    {3, 0, 0, 0}, {3, 0, 0, 0}, {2, 0, 0, 0}, {3, 0, 0, 0}, {3, 0, 0, 0},
    {3, 0, 0, 0}, {2, 2, 0, 0}, {3, 0, 0, 0}, {3, 0, 0, 0}, {3, 0, 0, 0},
    {0, 0, 0, 0}, {1, 0, 0, 0}, {1, 1, 0, 0}, {1, 1, 1, 0}, {0, 0, 0, 0},
    {2, 0, 0, 0}, {2, 1, 0, 0}, {2, 1, 1, 0}, {1, 0, 0, 0}, {2, 0, 0, 0},
    {2, 2, 0, 0}, {2, 2, 1, 0}, {1, 1, 0, 0}, {2, 1, 0, 0}, {2, 2, 0, 0},
    {2, 2, 2, 0}, {0, 0, 0, 0}, {1, 0, 0, 0}, {1, 1, 0, 0}, {1, 1, 1, 0},
    {0, 0, 0, 0}, {1, 0, 0, 0}, {1, 1, 0, 0}, {0, 0, 0, 0}, {2, 0, 0, 0},
    {2, 1, 0, 0}, {2, 1, 1, 0}, {0, 0, 0, 0}, {2, 0, 0, 0}, {2, 1, 0, 0},
    {1, 0, 0, 0}, {2, 0, 0, 0}, {2, 2, 0, 0}, {2, 2, 1, 0}, {1, 0, 0, 0},
    {2, 0, 0, 0}, {2, 2, 0, 0}, {0, 0, 0, 0}, {1, 0, 0, 0}, {1, 1, 0, 0},
    {1, 1, 1, 0}, {0, 0, 0, 0}, {3, 0, 0, 0}, {3, 0, 0, 0}, {3, 0, 0, 0},
    {1, 0, 0, 0}, {3, 0, 0, 0}, {3, 0, 0, 0}, {3, 0, 0, 0}, {1, 1, 0, 0},
    {3, 0, 0, 0}, {3, 0, 0, 0}, {3, 0, 0, 0}, {0, 0, 0, 0}, {1, 0, 0, 0},
    {1, 1, 0, 0}, {1, 1, 1, 0}, {0, 0, 0, 0}, {1, 0, 0, 0}, {1, 1, 0, 0},
    {0, 0, 0, 0}, {3, 0, 0, 0}, {3, 0, 0, 0}, {3, 0, 0, 0}, {0, 0, 0, 0},
    {3, 0, 0, 0}, {3, 0, 0, 0}, {1, 0, 0, 0}, {3, 0, 0, 0}, {3, 0, 0, 0},
    {3, 0, 0, 0}, {1, 0, 0, 0}, {3, 0, 0, 0}, {3, 0, 0, 0}, {0, 0, 0, 0},
    {2, 0, 0, 0}, {2, 1, 0, 0}, {2, 1, 1, 0}, {0, 0, 0, 0}, {3, 0, 0, 0},
    {3, 0, 0, 0}, {3, 0, 0, 0}, {2, 0, 0, 0}, {3, 0, 0, 0}, {3, 0, 0, 0},
    {3, 0, 0, 0}, {2, 1, 0, 0}, {3, 0, 0, 0}, {3, 0, 0, 0}, {3, 0, 0, 0},
    {0, 0, 0, 0}, {2, 0, 0, 0}, {2, 1, 0, 0}, {2, 1, 1, 0}, {0, 0, 0, 0},
    {2, 0, 0, 0}, {2, 1, 0, 0}, {0, 0, 0, 0}, {3, 0, 0, 0}, {3, 0, 0, 0},
    {3, 0, 0, 0}, {0, 0, 0, 0}, {3, 0, 0, 0}, {3, 0, 0, 0}, {2, 0, 0, 0},
    {3, 0, 0, 0}, {3, 0, 0, 0}, {3, 0, 0, 0}, {2, 0, 0, 0}, {3, 0, 0, 0},
    {3, 0, 0, 0}, {0, 0, 0, 0}, {1, 0, 0, 0}, {1, 1, 0, 0}, {1, 1, 1, 0},
    {0, 0, 0, 0}, {2, 0, 0, 0}, {2, 1, 0, 0}, {2, 1, 1, 0}, {1, 0, 0, 0},
    {2, 0, 0, 0}, {2, 2, 0, 0}, {2, 2, 1, 0}, {1, 1, 0, 0}, {2, 1, 0, 0},
    {2, 2, 0, 0}, {2, 2, 2, 0}, {0, 0, 0, 0}, {1, 0, 0, 0}, {1, 1, 0, 0},
    {1, 1, 1, 0}, {0, 0, 0, 0}, {3, 0, 0, 0}, {3, 0, 0, 0}, {3, 0, 0, 0},
    {1, 0, 0, 0}, {3, 0, 0, 0}, {3, 0, 0, 0}, {3, 0, 0, 0}, {1, 1, 0, 0},
    {3, 0, 0, 0}, {3, 0, 0, 0}, {3, 0, 0, 0}, {0, 0, 0, 0}, {2, 0, 0, 0},
    {2, 1, 0, 0}, {2, 1, 1, 0}, {0, 0, 0, 0}, {3, 0, 0, 0}, {3, 0, 0, 0},
    {3, 0, 0, 0}, {2, 0, 0, 0}, {3, 0, 0, 0}, {3, 0, 0, 0}, {3, 0, 0, 0},
    {2, 1, 0, 0}, {3, 0, 0, 0}, {3, 0, 0, 0}, {3, 0, 0, 0}, {1, 0, 0, 0},
    {2, 0, 0, 0}, {2, 2, 0, 0}, {2, 2, 1, 0}, {1, 0, 0, 0}, {3, 0, 0, 0},
    {3, 0, 0, 0}, {3, 0, 0, 0}, {2, 0, 0, 0}, {3, 0, 0, 0}, {3, 0, 0, 0},
    {3, 0, 0, 0}, {2, 2, 0, 0}, {3, 0, 0, 0}, {3, 0, 0, 0}, {3, 0, 0, 0},
    {0, 0, 0, 0}, {1, 0, 0, 0}, {1, 1, 0, 0}, {1, 1, 1, 0}, {0, 0, 0, 0},
    {2, 0, 0, 0}, {2, 1, 0, 0}, {2, 1, 1, 0}, {1, 0, 0, 0}, {2, 0, 0, 0},
    {2, 2, 0, 0}, {2, 2, 1, 0}, {1, 1, 0, 0}, {2, 1, 0, 0}, {2, 2, 0, 0},
    {2, 2, 2, 0}, {0, 0, 0, 0}, {1, 0, 0, 0}, {1, 1, 0, 0}, {1, 1, 1, 0},
    {0, 0, 0, 0}, {2, 0, 0, 0}, {2, 1, 0, 0}, {2, 1, 1, 0}, {1, 0, 0, 0},
    {2, 0, 0, 0}, {2, 2, 0, 0}, {2, 2, 1, 0}, {0, 0, 0, 0}, {1, 0, 0, 0},
    {1, 1, 0, 0}, {1, 1, 1, 0}, {0, 0, 0, 0}, {3, 0, 0, 0}, {3, 0, 0, 0},
    {3, 0, 0, 0}, {1, 0, 0, 0}, {3, 0, 0, 0}, {3, 0, 0, 0}, {3, 0, 0, 0},
    {1, 1, 0, 0}, {3, 0, 0, 0}, {3, 0, 0, 0}, {3, 0, 0, 0}, {0, 0, 0, 0},
    {1, 0, 0, 0}, {1, 1, 0, 0}, {1, 1, 1, 0}, {0, 0, 0, 0}, {3, 0, 0, 0},
    {3, 0, 0, 0}, {3, 0, 0, 0}, {1, 0, 0, 0}, {3, 0, 0, 0}, {3, 0, 0, 0},
    {3, 0, 0, 0}, {0, 0, 0, 0}, {2, 0, 0, 0}, {2, 1, 0, 0}, {2, 1, 1, 0},
    {0, 0, 0, 0}, {3, 0, 0, 0}, {3, 0, 0, 0}, {3, 0, 0, 0}, {2, 0, 0, 0},
    {3, 0, 0, 0}, {3, 0, 0, 0}, {3, 0, 0, 0}, {2, 1, 0, 0}, {3, 0, 0, 0},
    {3, 0, 0, 0}, {3, 0, 0, 0}, {0, 0, 0, 0}, {2, 0, 0, 0}, {2, 1, 0, 0},
    {2, 1, 1, 0}, {0, 0, 0, 0}, {3, 0, 0, 0}, {3, 0, 0, 0}, {3, 0, 0, 0},
    {2, 0, 0, 0}, {3, 0, 0, 0}, {3, 0, 0, 0}, {3, 0, 0, 0}, {0, 0, 0, 0},
    {1, 0, 0, 0}, {1, 1, 0, 0}, {1, 1, 1, 0}, {0, 0, 0, 0}, {2, 0, 0, 0},
    {2, 1, 0, 0}, {2, 1, 1, 0}, {1, 0, 0, 0}, {2, 0, 0, 0}, {2, 2, 0, 0},
    {2, 2, 1, 0}, {1, 1, 0, 0}, {2, 1, 0, 0}, {2, 2, 0, 0}, {2, 2, 2, 0},
    {0, 0, 0, 0}, {1, 0, 0, 0}, {1, 1, 0, 0}, {1, 1, 1, 0}, {0, 0, 0, 0},
    {1, 0, 0, 0}, {1, 1, 0, 0}, {0, 0, 0, 0}, {2, 0, 0, 0}, {2, 1, 0, 0},
    {2, 1, 1, 0}, {0, 0, 0, 0}, {2, 0, 0, 0}, {2, 1, 0, 0}, {1, 0, 0, 0},
    {2, 0, 0, 0}, {2, 2, 0, 0}, {2, 2, 1, 0}, {1, 0, 0, 0}, {2, 0, 0, 0},
    {2, 2, 0, 0}, {0, 0, 0, 0}, {1, 0, 0, 0}, {1, 1, 0, 0}, {1, 1, 1, 0},
    {0, 0, 0, 0}, {2, 0, 0, 0}, {2, 1, 0, 0}, {2, 1, 1, 0}, {1, 0, 0, 0},
    {2, 0, 0, 0}, {2, 2, 0, 0}, {2, 2, 1, 0}, {1, 1, 0, 0}, {2, 1, 0, 0},
    {2, 2, 0, 0}, {2, 2, 2, 0}, {0, 0, 0, 0}, {1, 0, 0, 0}, {1, 1, 0, 0},
    {1, 1, 1, 0}, {0, 0, 0, 0}, {2, 0, 0, 0}, {2, 1, 0, 0}, {2, 1, 1, 0},
    {1, 0, 0, 0}, {2, 0, 0, 0}, {2, 2, 0, 0}, {2, 2, 1, 0}, {0, 0, 0, 0},
    {1, 0, 0, 0}, {1, 1, 0, 0}, {1, 1, 1, 0}, {0, 0, 0, 0}, {1, 0, 0, 0},
    {1, 1, 0, 0}, {0, 0, 0, 0}, {1, 0, 0, 0}, {1, 1, 0, 0}, {1, 1, 1, 0},
    {0, 0, 0, 0}, {1, 0, 0, 0}, {0, 0, 0, 0}, {2, 0, 0, 0}, {2, 1, 0, 0},
    {2, 1, 1, 0}, {0, 0, 0, 0}, {2, 0, 0, 0}, {2, 1, 0, 0}, {0, 0, 0, 0},
    {2, 0, 0, 0}, {2, 1, 0, 0}, {2, 1, 1, 0}, {0, 0, 0, 0}, {2, 0, 0, 0},
    {0, 0, 0, 0}, {1, 0, 0, 0}, {1, 1, 0, 0}, {1, 1, 1, 0}, {0, 0, 0, 0},
    {2, 0, 0, 0}, {2, 1, 0, 0}, {2, 1, 1, 0}, {1, 0, 0, 0}, {2, 0, 0, 0},
    {2, 2, 0, 0}, {2, 2, 1, 0}, {1, 1, 0, 0}, {2, 1, 0, 0}, {2, 2, 0, 0},
    {2, 2, 2, 0}, {0, 0, 0, 0}, {1, 0, 0, 0}, {1, 1, 0, 0}, {1, 1, 1, 0},
    {0, 0, 0, 0}, {3, 0, 0, 0}, {3, 0, 0, 0}, {3, 0, 0, 0}, {1, 0, 0, 0},
    {3, 0, 0, 0}, {3, 0, 0, 0}, {3, 0, 0, 0}, {1, 1, 0, 0}, {3, 0, 0, 0},
    {3, 0, 0, 0}, {3, 0, 0, 0}, {0, 0, 0, 0}, {2, 0, 0, 0}, {2, 1, 0, 0},
    {2, 1, 1, 0}, {0, 0, 0, 0}, {3, 0, 0, 0}, {3, 0, 0, 0}, {3, 0, 0, 0},
    {2, 0, 0, 0}, {3, 0, 0, 0}, {3, 0, 0, 0}, {3, 0, 0, 0}, {2, 1, 0, 0},
    {3, 0, 0, 0}, {3, 0, 0, 0}, {3, 0, 0, 0}, {1, 0, 0, 0}, {2, 0, 0, 0},
    {2, 2, 0, 0}, {2, 2, 1, 0}, {1, 0, 0, 0}, {3, 0, 0, 0}, {3, 0, 0, 0},
    {3, 0, 0, 0}, {2, 0, 0, 0}, {3, 0, 0, 0}, {3, 0, 0, 0}, {3, 0, 0, 0},
    {2, 2, 0, 0}, {3, 0, 0, 0}, {3, 0, 0, 0}, {3, 0, 0, 0}, {0, 0, 0, 0},
    {1, 0, 0, 0}, {1, 1, 0, 0}, {1, 1, 1, 0}, {0, 0, 0, 0}, {2, 0, 0, 0},
    {2, 1, 0, 0}, {2, 1, 1, 0}, {1, 0, 0, 0}, {2, 0, 0, 0}, {2, 2, 0, 0},
    {2, 2, 1, 0}, {1, 1, 0, 0}, {2, 1, 0, 0}, {2, 2, 0, 0}, {2, 2, 2, 0},
    {0, 0, 0, 0}, {1, 0, 0, 0}, {1, 1, 0, 0}, {1, 1, 1, 0}, {0, 0, 0, 0},
    {3, 0, 0, 0}, {3, 0, 0, 0}, {3, 0, 0, 0}, {1, 0, 0, 0}, {3, 0, 0, 0},
    {3, 0, 0, 0}, {3, 0, 0, 0}, {1, 1, 0, 0}, {3, 0, 0, 0}, {3, 0, 0, 0},
    {3, 0, 0, 0}, {0, 0, 0, 0}, {2, 0, 0, 0}, {2, 1, 0, 0}, {2, 1, 1, 0},
    {0, 0, 0, 0}, {3, 0, 0, 0}, {3, 0, 0, 0}, {3, 0, 0, 0}, {2, 0, 0, 0},
    {3, 0, 0, 0}, {3, 0, 0, 0}, {3, 0, 0, 0}, {2, 1, 0, 0}, {3, 0, 0, 0},
    {3, 0, 0, 0}, {3, 0, 0, 0}, {0, 0, 0, 0}, {1, 0, 0, 0}, {1, 1, 0, 0},
    {1, 1, 1, 0}, {0, 0, 0, 0}, {2, 0, 0, 0}, {2, 1, 0, 0}, {2, 1, 1, 0},
    {1, 0, 0, 0}, {2, 0, 0, 0}, {2, 2, 0, 0}, {2, 2, 1, 0}, {1, 1, 0, 0},
    {2, 1, 0, 0}, {2, 2, 0, 0}, {2, 2, 2, 0}, {0, 0, 0, 0}, {1, 0, 0, 0},
    {1, 1, 0, 0}, {1, 1, 1, 0}, {0, 0, 0, 0}, {1, 0, 0, 0}, {1, 1, 0, 0},
    {0, 0, 0, 0}, {2, 0, 0, 0}, {2, 1, 0, 0}, {2, 1, 1, 0}, {0, 0, 0, 0},
    {2, 0, 0, 0}, {2, 1, 0, 0}, {1, 0, 0, 0}, {2, 0, 0, 0}, {2, 2, 0, 0},
    {2, 2, 1, 0}, {1, 0, 0, 0}, {2, 0, 0, 0}, {2, 2, 0, 0}, {0, 0, 0, 0},
    {1, 0, 0, 0}, {1, 1, 0, 0}, {1, 1, 1, 0}, {0, 0, 0, 0}, {2, 0, 0, 0},
    {2, 1, 0, 0}, {2, 1, 1, 0}, {1, 0, 0, 0}, {2, 0, 0, 0}, {2, 2, 0, 0},
    {2, 2, 1, 0}, {1, 1, 0, 0}, {2, 1, 0, 0}, {2, 2, 0, 0}, {2, 2, 2, 0},
    {0, 0, 0, 0}, {1, 0, 0, 0}, {1, 1, 0, 0}, {1, 1, 1, 0}, {0, 0, 0, 0},
    {1, 0, 0, 0}, {1, 1, 0, 0}, {0, 0, 0, 0}, {2, 0, 0, 0}, {2, 1, 0, 0},
    {2, 1, 1, 0}, {0, 0, 0, 0}, {2, 0, 0, 0}, {2, 1, 0, 0}, {0, 0, 0, 0},
    {1, 0, 0, 0}, {1, 1, 0, 0}, {1, 1, 1, 0}, {0, 0, 0, 0}, {2, 0, 0, 0},
    {2, 1, 0, 0}, {2, 1, 1, 0}, {1, 0, 0, 0}, {2, 0, 0, 0}, {2, 2, 0, 0},
    {2, 2, 1, 0}, {1, 1, 0, 0}, {2, 1, 0, 0}, {2, 2, 0, 0}, {2, 2, 2, 0},
    {0, 0, 0, 0}, {1, 0, 0, 0}, {1, 1, 0, 0}, {1, 1, 1, 0}, {0, 0, 0, 0},
    {2, 0, 0, 0}, {2, 1, 0, 0}, {2, 1, 1, 0}, {1, 0, 0, 0}, {2, 0, 0, 0},
    {2, 2, 0, 0}, {2, 2, 1, 0}, {0, 0, 0, 0}, {1, 0, 0, 0}, {1, 1, 0, 0},
    {1, 1, 1, 0}, {0, 0, 0, 0}, {2, 0, 0, 0}, {2, 1, 0, 0}, {2, 1, 1, 0},
    {1, 0, 0, 0}, {2, 0, 0, 0}, {2, 2, 0, 0}, {2, 2, 1, 0}, {1, 1, 0, 0},
    {2, 1, 0, 0}, {2, 2, 0, 0}, {2, 2, 2, 0}, {0, 0, 0, 0}, {1, 0, 0, 0},
    {1, 1, 0, 0}, {1, 1, 1, 0}, {0, 0, 0, 0}, {2, 0, 0, 0}, {2, 1, 0, 0},
    {2, 1, 1, 0}, {0, 0, 0, 0}, {1, 0, 0, 0}, {1, 1, 0, 0}, {1, 1, 1, 0},
    {0, 0, 0, 0}, {2, 0, 0, 0}, {2, 1, 0, 0}, {2, 1, 1, 0}, {1, 0, 0, 0},
    {2, 0, 0, 0}, {2, 2, 0, 0}, {2, 2, 1, 0}, {1, 1, 0, 0}, {2, 1, 0, 0},
    {2, 2, 0, 0}, {2, 2, 2, 0}, {0, 0, 0, 0}, {1, 0, 0, 0}, {1, 1, 0, 0},
    {1, 1, 1, 0}, {0, 0, 0, 0}, {3, 0, 0, 0}, {3, 0, 0, 0}, {3, 0, 0, 0},
    {1, 0, 0, 0}, {3, 0, 0, 0}, {3, 0, 0, 0}, {3, 0, 0, 0}, {1, 1, 0, 0},
    {3, 0, 0, 0}, {3, 0, 0, 0}, {3, 0, 0, 0}, {0, 0, 0, 0}, {2, 0, 0, 0},
    {2, 1, 0, 0}, {2, 1, 1, 0}, {0, 0, 0, 0}, {3, 0, 0, 0}, {3, 0, 0, 0},
    {3, 0, 0, 0}, {2, 0, 0, 0}, {3, 0, 0, 0}, {3, 0, 0, 0}, {3, 0, 0, 0},
    {2, 1, 0, 0}, {3, 0, 0, 0}, {3, 0, 0, 0}, {3, 0, 0, 0}, {1, 0, 0, 0},
    {2, 0, 0, 0}, {2, 2, 0, 0}, {2, 2, 1, 0}, {1, 0, 0, 0}, {3, 0, 0, 0},
    {3, 0, 0, 0}, {3, 0, 0, 0}, {2, 0, 0, 0}, {3, 0, 0, 0}, {3, 0, 0, 0},
    {3, 0, 0, 0}, {2, 2, 0, 0}, {3, 0, 0, 0}, {3, 0, 0, 0}, {3, 0, 0, 0},
    {0, 0, 0, 0}, {1, 0, 0, 0}, {1, 1, 0, 0}, {1, 1, 1, 0}, {0, 0, 0, 0},
    {2, 0, 0, 0}, {2, 1, 0, 0}, {2, 1, 1, 0}, {1, 0, 0, 0}, {2, 0, 0, 0},
    {2, 2, 0, 0}, {2, 2, 1, 0}, {1, 1, 0, 0}, {2, 1, 0, 0}, {2, 2, 0, 0},
    {2, 2, 2, 0}, {0, 0, 0, 0}, {1, 0, 0, 0}, {1, 1, 0, 0}, {1, 1, 1, 0},
    {0, 0, 0, 0}, {1, 0, 0, 0}, {1, 1, 0, 0}, {0, 0, 0, 0}, {2, 0, 0, 0},
    {2, 1, 0, 0}, {2, 1, 1, 0}, {0, 0, 0, 0}, {2, 0, 0, 0}, {2, 1, 0, 0},
    {1, 0, 0, 0}, {2, 0, 0, 0}, {2, 2, 0, 0}, {2, 2, 1, 0}, {1, 0, 0, 0},
    {2, 0, 0, 0}, {2, 2, 0, 0}, {0, 0, 0, 0}, {1, 0, 0, 0}, {1, 1, 0, 0},
    {1, 1, 1, 0}, {0, 0, 0, 0}, {2, 0, 0, 0}, {2, 1, 0, 0}, {2, 1, 1, 0},
    {1, 0, 0, 0}, {2, 0, 0, 0}, {2, 2, 0, 0}, {2, 2, 1, 0}, {1, 1, 0, 0},
    {2, 1, 0, 0}, {2, 2, 0, 0}, {2, 2, 2, 0}, {0, 0, 0, 0}, {1, 0, 0, 0},
    {1, 1, 0, 0}, {1, 1, 1, 0}, {0, 0, 0, 0}, {2, 0, 0, 0}, {2, 1, 0, 0},
    {2, 1, 1, 0}, {1, 0, 0, 0}, {2, 0, 0, 0}, {2, 2, 0, 0}, {2, 2, 1, 0},
    {0, 0, 0, 0}, {1, 0, 0, 0}, {1, 1, 0, 0}, {1, 1, 1, 0}, {0, 0, 0, 0},
    {2, 0, 0, 0}, {2, 1, 0, 0}, {2, 1, 1, 0}, {1, 0, 0, 0}, {2, 0, 0, 0},
    {2, 2, 0, 0}, {2, 2, 1, 0}, {1, 1, 0, 0}, {2, 1, 0, 0}, {2, 2, 0, 0},
    {2, 2, 2, 0}};

static const int rt1[3501][5] = {
    {0, 0, 0, 0, 0}, {3, 3, 3, 3, 3}, {3, 3, 3, 3, 4}, {3, 3, 3, 3, 5},
    {3, 3, 3, 3, 6}, {3, 3, 3, 4, 2}, {3, 3, 3, 4, 4}, {3, 3, 3, 4, 5},
    {3, 3, 3, 4, 6}, {3, 3, 3, 5, 2}, {3, 3, 3, 5, 3}, {3, 3, 3, 5, 5},
    {3, 3, 3, 5, 6}, {3, 3, 3, 6, 2}, {3, 3, 3, 6, 3}, {3, 3, 3, 6, 4},
    {3, 3, 3, 6, 6}, {3, 3, 4, 2, 3}, {3, 3, 4, 2, 4}, {3, 3, 4, 2, 5},
    {3, 3, 4, 2, 6}, {3, 3, 4, 4, 1}, {3, 3, 4, 4, 4}, {3, 3, 4, 4, 5},
    {3, 3, 4, 4, 6}, {3, 3, 4, 5, 1}, {3, 3, 4, 5, 3}, {3, 3, 4, 5, 5},
    {3, 3, 4, 5, 6}, {3, 3, 4, 6, 1}, {3, 3, 4, 6, 3}, {3, 3, 4, 6, 4},
    {3, 3, 4, 6, 6}, {3, 3, 5, 2, 2}, {3, 3, 5, 2, 4}, {3, 3, 5, 2, 5},
    {3, 3, 5, 2, 6}, {3, 3, 5, 3, 1}, {3, 3, 5, 3, 4}, {3, 3, 5, 3, 5},
    {3, 3, 5, 3, 6}, {3, 3, 5, 5, 1}, {3, 3, 5, 5, 2}, {3, 3, 5, 5, 5},
    {3, 3, 5, 5, 6}, {3, 3, 5, 6, 1}, {3, 3, 5, 6, 2}, {3, 3, 5, 6, 4},
    {3, 3, 5, 6, 6}, {3, 3, 6, 2, 2}, {3, 3, 6, 2, 3}, {3, 3, 6, 2, 5},
    {3, 3, 6, 2, 6}, {3, 3, 6, 3, 1}, {3, 3, 6, 3, 3}, {3, 3, 6, 3, 5},
    {3, 3, 6, 3, 6}, {3, 3, 6, 4, 1}, {3, 3, 6, 4, 2}, {3, 3, 6, 4, 5},
    {3, 3, 6, 4, 6}, {3, 3, 6, 6, 1}, {3, 3, 6, 6, 2}, {3, 3, 6, 6, 3},
    {3, 3, 6, 6, 6}, {3, 4, 2, 3, 3}, {3, 4, 2, 3, 4}, {3, 4, 2, 3, 5},
    {3, 4, 2, 3, 6}, {3, 4, 2, 4, 2}, {3, 4, 2, 4, 4}, {3, 4, 2, 4, 5},
    {3, 4, 2, 4, 6}, {3, 4, 2, 5, 2}, {3, 4, 2, 5, 3}, {3, 4, 2, 5, 5},
    {3, 4, 2, 5, 6}, {3, 4, 2, 6, 2}, {3, 4, 2, 6, 3}, {3, 4, 2, 6, 4},
    {3, 4, 2, 6, 6}, {3, 4, 4, 1, 3}, {3, 4, 4, 1, 4}, {3, 4, 4, 1, 5},
    {3, 4, 4, 1, 6}, {3, 4, 4, 4, 0}, {3, 4, 4, 5, 0}, {3, 4, 4, 6, 0},
    {3, 4, 5, 1, 2}, {3, 4, 5, 1, 4}, {3, 4, 5, 1, 5}, {3, 4, 5, 1, 6},
    {3, 4, 5, 3, 0}, {3, 4, 5, 5, 0}, {3, 4, 5, 6, 0}, {3, 4, 6, 1, 2},
    {3, 4, 6, 1, 3}, {3, 4, 6, 1, 5}, {3, 4, 6, 1, 6}, {3, 4, 6, 3, 0},
    {3, 4, 6, 4, 0}, {3, 4, 6, 6, 0}, {3, 5, 2, 2, 3}, {3, 5, 2, 2, 4},
    {3, 5, 2, 2, 5}, {3, 5, 2, 2, 6}, {3, 5, 2, 4, 1}, {3, 5, 2, 4, 4},
    {3, 5, 2, 4, 5}, {3, 5, 2, 4, 6}, {3, 5, 2, 5, 1}, {3, 5, 2, 5, 3},
    {3, 5, 2, 5, 5}, {3, 5, 2, 5, 6}, {3, 5, 2, 6, 1}, {3, 5, 2, 6, 3},
    {3, 5, 2, 6, 4}, {3, 5, 2, 6, 6}, {3, 5, 3, 1, 3}, {3, 5, 3, 1, 4},
    {3, 5, 3, 1, 5}, {3, 5, 3, 1, 6}, {3, 5, 3, 4, 0}, {3, 5, 3, 5, 0},
    {3, 5, 3, 6, 0}, {3, 5, 5, 1, 1}, {3, 5, 5, 1, 4}, {3, 5, 5, 1, 5},
    {3, 5, 5, 1, 6}, {3, 5, 5, 2, 0}, {3, 5, 5, 5, 0}, {3, 5, 5, 6, 0},
    {3, 5, 6, 1, 1}, {3, 5, 6, 1, 3}, {3, 5, 6, 1, 5}, {3, 5, 6, 1, 6},
    {3, 5, 6, 2, 0}, {3, 5, 6, 4, 0}, {3, 5, 6, 6, 0}, {3, 6, 2, 2, 2},
    {3, 6, 2, 2, 4}, {3, 6, 2, 2, 5}, {3, 6, 2, 2, 6}, {3, 6, 2, 3, 1},
    {3, 6, 2, 3, 4}, {3, 6, 2, 3, 5}, {3, 6, 2, 3, 6}, {3, 6, 2, 5, 1},
    {3, 6, 2, 5, 2}, {3, 6, 2, 5, 5}, {3, 6, 2, 5, 6}, {3, 6, 2, 6, 1},
    {3, 6, 2, 6, 2}, {3, 6, 2, 6, 4}, {3, 6, 2, 6, 6}, {3, 6, 3, 1, 2},
    {3, 6, 3, 1, 4}, {3, 6, 3, 1, 5}, {3, 6, 3, 1, 6}, {3, 6, 3, 3, 0},
    {3, 6, 3, 5, 0}, {3, 6, 3, 6, 0}, {3, 6, 4, 1, 1}, {3, 6, 4, 1, 4},
    {3, 6, 4, 1, 5}, {3, 6, 4, 1, 6}, {3, 6, 4, 2, 0}, {3, 6, 4, 5, 0},
    {3, 6, 4, 6, 0}, {3, 6, 6, 1, 1}, {3, 6, 6, 1, 2}, {3, 6, 6, 1, 5},
    {3, 6, 6, 1, 6}, {3, 6, 6, 2, 0}, {3, 6, 6, 3, 0}, {3, 6, 6, 6, 0},
    {4, 2, 3, 3, 3}, {4, 2, 3, 3, 4}, {4, 2, 3, 3, 5}, {4, 2, 3, 3, 6},
    {4, 2, 3, 4, 2}, {4, 2, 3, 4, 4}, {4, 2, 3, 4, 5}, {4, 2, 3, 4, 6},
    {4, 2, 3, 5, 2}, {4, 2, 3, 5, 3}, {4, 2, 3, 5, 5}, {4, 2, 3, 5, 6},
    {4, 2, 3, 6, 2}, {4, 2, 3, 6, 3}, {4, 2, 3, 6, 4}, {4, 2, 3, 6, 6},
    {4, 2, 4, 2, 3}, {4, 2, 4, 2, 4}, {4, 2, 4, 2, 5}, {4, 2, 4, 2, 6},
    {4, 2, 4, 4, 1}, {4, 2, 4, 4, 4}, {4, 2, 4, 4, 5}, {4, 2, 4, 4, 6},
    {4, 2, 4, 5, 1}, {4, 2, 4, 5, 3}, {4, 2, 4, 5, 5}, {4, 2, 4, 5, 6},
    {4, 2, 4, 6, 1}, {4, 2, 4, 6, 3}, {4, 2, 4, 6, 4}, {4, 2, 4, 6, 6},
    {4, 2, 5, 2, 2}, {4, 2, 5, 2, 4}, {4, 2, 5, 2, 5}, {4, 2, 5, 2, 6},
    {4, 2, 5, 3, 1}, {4, 2, 5, 3, 4}, {4, 2, 5, 3, 5}, {4, 2, 5, 3, 6},
    {4, 2, 5, 5, 1}, {4, 2, 5, 5, 2}, {4, 2, 5, 5, 5}, {4, 2, 5, 5, 6},
    {4, 2, 5, 6, 1}, {4, 2, 5, 6, 2}, {4, 2, 5, 6, 4}, {4, 2, 5, 6, 6},
    {4, 2, 6, 2, 2}, {4, 2, 6, 2, 3}, {4, 2, 6, 2, 5}, {4, 2, 6, 2, 6},
    {4, 2, 6, 3, 1}, {4, 2, 6, 3, 3}, {4, 2, 6, 3, 5}, {4, 2, 6, 3, 6},
    {4, 2, 6, 4, 1}, {4, 2, 6, 4, 2}, {4, 2, 6, 4, 5}, {4, 2, 6, 4, 6},
    {4, 2, 6, 6, 1}, {4, 2, 6, 6, 2}, {4, 2, 6, 6, 3}, {4, 2, 6, 6, 6},
    {4, 4, 1, 3, 3}, {4, 4, 1, 3, 4}, {4, 4, 1, 3, 5}, {4, 4, 1, 3, 6},
    {4, 4, 1, 4, 2}, {4, 4, 1, 4, 4}, {4, 4, 1, 4, 5}, {4, 4, 1, 4, 6},
    {4, 4, 1, 5, 2}, {4, 4, 1, 5, 3}, {4, 4, 1, 5, 5}, {4, 4, 1, 5, 6},
    {4, 4, 1, 6, 2}, {4, 4, 1, 6, 3}, {4, 4, 1, 6, 4}, {4, 4, 1, 6, 6},
    {4, 4, 4, 0, 3}, {4, 4, 4, 0, 4}, {4, 4, 4, 0, 5}, {4, 4, 4, 0, 6},
    {4, 4, 5, 0, 2}, {4, 4, 5, 0, 4}, {4, 4, 5, 0, 5}, {4, 4, 5, 0, 6},
    {4, 4, 6, 0, 2}, {4, 4, 6, 0, 3}, {4, 4, 6, 0, 5}, {4, 4, 6, 0, 6},
    {4, 5, 1, 2, 3}, {4, 5, 1, 2, 4}, {4, 5, 1, 2, 5}, {4, 5, 1, 2, 6},
    {4, 5, 1, 4, 1}, {4, 5, 1, 4, 4}, {4, 5, 1, 4, 5}, {4, 5, 1, 4, 6},
    {4, 5, 1, 5, 1}, {4, 5, 1, 5, 3}, {4, 5, 1, 5, 5}, {4, 5, 1, 5, 6},
    {4, 5, 1, 6, 1}, {4, 5, 1, 6, 3}, {4, 5, 1, 6, 4}, {4, 5, 1, 6, 6},
    {4, 5, 3, 0, 3}, {4, 5, 3, 0, 4}, {4, 5, 3, 0, 5}, {4, 5, 3, 0, 6},
    {4, 5, 5, 0, 1}, {4, 5, 5, 0, 4}, {4, 5, 5, 0, 5}, {4, 5, 5, 0, 6},
    {4, 5, 6, 0, 1}, {4, 5, 6, 0, 3}, {4, 5, 6, 0, 5}, {4, 5, 6, 0, 6},
    {4, 6, 1, 2, 2}, {4, 6, 1, 2, 4}, {4, 6, 1, 2, 5}, {4, 6, 1, 2, 6},
    {4, 6, 1, 3, 1}, {4, 6, 1, 3, 4}, {4, 6, 1, 3, 5}, {4, 6, 1, 3, 6},
    {4, 6, 1, 5, 1}, {4, 6, 1, 5, 2}, {4, 6, 1, 5, 5}, {4, 6, 1, 5, 6},
    {4, 6, 1, 6, 1}, {4, 6, 1, 6, 2}, {4, 6, 1, 6, 4}, {4, 6, 1, 6, 6},
    {4, 6, 3, 0, 2}, {4, 6, 3, 0, 4}, {4, 6, 3, 0, 5}, {4, 6, 3, 0, 6},
    {4, 6, 4, 0, 1}, {4, 6, 4, 0, 4}, {4, 6, 4, 0, 5}, {4, 6, 4, 0, 6},
    {4, 6, 6, 0, 1}, {4, 6, 6, 0, 2}, {4, 6, 6, 0, 5}, {4, 6, 6, 0, 6},
    {5, 2, 2, 3, 3}, {5, 2, 2, 3, 4}, {5, 2, 2, 3, 5}, {5, 2, 2, 3, 6},
    {5, 2, 2, 4, 2}, {5, 2, 2, 4, 4}, {5, 2, 2, 4, 5}, {5, 2, 2, 4, 6},
    {5, 2, 2, 5, 2}, {5, 2, 2, 5, 3}, {5, 2, 2, 5, 5}, {5, 2, 2, 5, 6},
    {5, 2, 2, 6, 2}, {5, 2, 2, 6, 3}, {5, 2, 2, 6, 4}, {5, 2, 2, 6, 6},
    {5, 2, 4, 1, 3}, {5, 2, 4, 1, 4}, {5, 2, 4, 1, 5}, {5, 2, 4, 1, 6},
    {5, 2, 4, 4, 0}, {5, 2, 4, 5, 0}, {5, 2, 4, 6, 0}, {5, 2, 5, 1, 2},
    {5, 2, 5, 1, 4}, {5, 2, 5, 1, 5}, {5, 2, 5, 1, 6}, {5, 2, 5, 3, 0},
    {5, 2, 5, 5, 0}, {5, 2, 5, 6, 0}, {5, 2, 6, 1, 2}, {5, 2, 6, 1, 3},
    {5, 2, 6, 1, 5}, {5, 2, 6, 1, 6}, {5, 2, 6, 3, 0}, {5, 2, 6, 4, 0},
    {5, 2, 6, 6, 0}, {5, 3, 1, 3, 3}, {5, 3, 1, 3, 4}, {5, 3, 1, 3, 5},
    {5, 3, 1, 3, 6}, {5, 3, 1, 4, 2}, {5, 3, 1, 4, 4}, {5, 3, 1, 4, 5},
    {5, 3, 1, 4, 6}, {5, 3, 1, 5, 2}, {5, 3, 1, 5, 3}, {5, 3, 1, 5, 5},
    {5, 3, 1, 5, 6}, {5, 3, 1, 6, 2}, {5, 3, 1, 6, 3}, {5, 3, 1, 6, 4},
    {5, 3, 1, 6, 6}, {5, 3, 4, 0, 3}, {5, 3, 4, 0, 4}, {5, 3, 4, 0, 5},
    {5, 3, 4, 0, 6}, {5, 3, 5, 0, 2}, {5, 3, 5, 0, 4}, {5, 3, 5, 0, 5},
    {5, 3, 5, 0, 6}, {5, 3, 6, 0, 2}, {5, 3, 6, 0, 3}, {5, 3, 6, 0, 5},
    {5, 3, 6, 0, 6}, {5, 5, 1, 1, 3}, {5, 5, 1, 1, 4}, {5, 5, 1, 1, 5},
    {5, 5, 1, 1, 6}, {5, 5, 1, 4, 0}, {5, 5, 1, 5, 0}, {5, 5, 1, 6, 0},
    {5, 5, 2, 0, 3}, {5, 5, 2, 0, 4}, {5, 5, 2, 0, 5}, {5, 5, 2, 0, 6},
    {5, 5, 5, 0, 0}, {5, 5, 6, 0, 0}, {5, 6, 1, 1, 2}, {5, 6, 1, 1, 4},
    {5, 6, 1, 1, 5}, {5, 6, 1, 1, 6}, {5, 6, 1, 3, 0}, {5, 6, 1, 5, 0},
    {5, 6, 1, 6, 0}, {5, 6, 2, 0, 2}, {5, 6, 2, 0, 4}, {5, 6, 2, 0, 5},
    {5, 6, 2, 0, 6}, {5, 6, 4, 0, 0}, {5, 6, 6, 0, 0}, {6, 2, 2, 2, 3},
    {6, 2, 2, 2, 4}, {6, 2, 2, 2, 5}, {6, 2, 2, 2, 6}, {6, 2, 2, 4, 1},
    {6, 2, 2, 4, 4}, {6, 2, 2, 4, 5}, {6, 2, 2, 4, 6}, {6, 2, 2, 5, 1},
    {6, 2, 2, 5, 3}, {6, 2, 2, 5, 5}, {6, 2, 2, 5, 6}, {6, 2, 2, 6, 1},
    {6, 2, 2, 6, 3}, {6, 2, 2, 6, 4}, {6, 2, 2, 6, 6}, {6, 2, 3, 1, 3},
    {6, 2, 3, 1, 4}, {6, 2, 3, 1, 5}, {6, 2, 3, 1, 6}, {6, 2, 3, 4, 0},
    {6, 2, 3, 5, 0}, {6, 2, 3, 6, 0}, {6, 2, 5, 1, 1}, {6, 2, 5, 1, 4},
    {6, 2, 5, 1, 5}, {6, 2, 5, 1, 6}, {6, 2, 5, 2, 0}, {6, 2, 5, 5, 0},
    {6, 2, 5, 6, 0}, {6, 2, 6, 1, 1}, {6, 2, 6, 1, 3}, {6, 2, 6, 1, 5},
    {6, 2, 6, 1, 6}, {6, 2, 6, 2, 0}, {6, 2, 6, 4, 0}, {6, 2, 6, 6, 0},
    {6, 3, 1, 2, 3}, {6, 3, 1, 2, 4}, {6, 3, 1, 2, 5}, {6, 3, 1, 2, 6},
    {6, 3, 1, 4, 1}, {6, 3, 1, 4, 4}, {6, 3, 1, 4, 5}, {6, 3, 1, 4, 6},
    {6, 3, 1, 5, 1}, {6, 3, 1, 5, 3}, {6, 3, 1, 5, 5}, {6, 3, 1, 5, 6},
    {6, 3, 1, 6, 1}, {6, 3, 1, 6, 3}, {6, 3, 1, 6, 4}, {6, 3, 1, 6, 6},
    {6, 3, 3, 0, 3}, {6, 3, 3, 0, 4}, {6, 3, 3, 0, 5}, {6, 3, 3, 0, 6},
    {6, 3, 5, 0, 1}, {6, 3, 5, 0, 4}, {6, 3, 5, 0, 5}, {6, 3, 5, 0, 6},
    {6, 3, 6, 0, 1}, {6, 3, 6, 0, 3}, {6, 3, 6, 0, 5}, {6, 3, 6, 0, 6},
    {6, 4, 1, 1, 3}, {6, 4, 1, 1, 4}, {6, 4, 1, 1, 5}, {6, 4, 1, 1, 6},
    {6, 4, 1, 4, 0}, {6, 4, 1, 5, 0}, {6, 4, 1, 6, 0}, {6, 4, 2, 0, 3},
    {6, 4, 2, 0, 4}, {6, 4, 2, 0, 5}, {6, 4, 2, 0, 6}, {6, 4, 5, 0, 0},
    {6, 4, 6, 0, 0}, {6, 6, 1, 1, 1}, {6, 6, 1, 1, 4}, {6, 6, 1, 1, 5},
    {6, 6, 1, 1, 6}, {6, 6, 1, 2, 0}, {6, 6, 1, 5, 0}, {6, 6, 1, 6, 0},
    {6, 6, 2, 0, 1}, {6, 6, 2, 0, 4}, {6, 6, 2, 0, 5}, {6, 6, 2, 0, 6},
    {6, 6, 3, 0, 0}, {6, 6, 6, 0, 0}, {2, 3, 3, 3, 3}, {2, 3, 3, 3, 4},
    {2, 3, 3, 3, 5}, {2, 3, 3, 3, 6}, {2, 3, 3, 4, 2}, {2, 3, 3, 4, 4},
    {2, 3, 3, 4, 5}, {2, 3, 3, 4, 6}, {2, 3, 3, 5, 2}, {2, 3, 3, 5, 3},
    {2, 3, 3, 5, 5}, {2, 3, 3, 5, 6}, {2, 3, 3, 6, 2}, {2, 3, 3, 6, 3},
    {2, 3, 3, 6, 4}, {2, 3, 3, 6, 6}, {2, 3, 4, 2, 3}, {2, 3, 4, 2, 4},
    {2, 3, 4, 2, 5}, {2, 3, 4, 2, 6}, {2, 3, 4, 4, 1}, {2, 3, 4, 4, 4},
    {2, 3, 4, 4, 5}, {2, 3, 4, 4, 6}, {2, 3, 4, 5, 1}, {2, 3, 4, 5, 3},
    {2, 3, 4, 5, 5}, {2, 3, 4, 5, 6}, {2, 3, 4, 6, 1}, {2, 3, 4, 6, 3},
    {2, 3, 4, 6, 4}, {2, 3, 4, 6, 6}, {2, 3, 5, 2, 2}, {2, 3, 5, 2, 4},
    {2, 3, 5, 2, 5}, {2, 3, 5, 2, 6}, {2, 3, 5, 3, 1}, {2, 3, 5, 3, 4},
    {2, 3, 5, 3, 5}, {2, 3, 5, 3, 6}, {2, 3, 5, 5, 1}, {2, 3, 5, 5, 2},
    {2, 3, 5, 5, 5}, {2, 3, 5, 5, 6}, {2, 3, 5, 6, 1}, {2, 3, 5, 6, 2},
    {2, 3, 5, 6, 4}, {2, 3, 5, 6, 6}, {2, 3, 6, 2, 2}, {2, 3, 6, 2, 3},
    {2, 3, 6, 2, 5}, {2, 3, 6, 2, 6}, {2, 3, 6, 3, 1}, {2, 3, 6, 3, 3},
    {2, 3, 6, 3, 5}, {2, 3, 6, 3, 6}, {2, 3, 6, 4, 1}, {2, 3, 6, 4, 2},
    {2, 3, 6, 4, 5}, {2, 3, 6, 4, 6}, {2, 3, 6, 6, 1}, {2, 3, 6, 6, 2},
    {2, 3, 6, 6, 3}, {2, 3, 6, 6, 6}, {2, 4, 2, 3, 3}, {2, 4, 2, 3, 4},
    {2, 4, 2, 3, 5}, {2, 4, 2, 3, 6}, {2, 4, 2, 4, 2}, {2, 4, 2, 4, 4},
    {2, 4, 2, 4, 5}, {2, 4, 2, 4, 6}, {2, 4, 2, 5, 2}, {2, 4, 2, 5, 3},
    {2, 4, 2, 5, 5}, {2, 4, 2, 5, 6}, {2, 4, 2, 6, 2}, {2, 4, 2, 6, 3},
    {2, 4, 2, 6, 4}, {2, 4, 2, 6, 6}, {2, 4, 4, 1, 3}, {2, 4, 4, 1, 4},
    {2, 4, 4, 1, 5}, {2, 4, 4, 1, 6}, {2, 4, 4, 4, 0}, {2, 4, 4, 5, 0},
    {2, 4, 4, 6, 0}, {2, 4, 5, 1, 2}, {2, 4, 5, 1, 4}, {2, 4, 5, 1, 5},
    {2, 4, 5, 1, 6}, {2, 4, 5, 3, 0}, {2, 4, 5, 5, 0}, {2, 4, 5, 6, 0},
    {2, 4, 6, 1, 2}, {2, 4, 6, 1, 3}, {2, 4, 6, 1, 5}, {2, 4, 6, 1, 6},
    {2, 4, 6, 3, 0}, {2, 4, 6, 4, 0}, {2, 4, 6, 6, 0}, {2, 5, 2, 2, 3},
    {2, 5, 2, 2, 4}, {2, 5, 2, 2, 5}, {2, 5, 2, 2, 6}, {2, 5, 2, 4, 1},
    {2, 5, 2, 4, 4}, {2, 5, 2, 4, 5}, {2, 5, 2, 4, 6}, {2, 5, 2, 5, 1},
    {2, 5, 2, 5, 3}, {2, 5, 2, 5, 5}, {2, 5, 2, 5, 6}, {2, 5, 2, 6, 1},
    {2, 5, 2, 6, 3}, {2, 5, 2, 6, 4}, {2, 5, 2, 6, 6}, {2, 5, 3, 1, 3},
    {2, 5, 3, 1, 4}, {2, 5, 3, 1, 5}, {2, 5, 3, 1, 6}, {2, 5, 3, 4, 0},
    {2, 5, 3, 5, 0}, {2, 5, 3, 6, 0}, {2, 5, 5, 1, 1}, {2, 5, 5, 1, 4},
    {2, 5, 5, 1, 5}, {2, 5, 5, 1, 6}, {2, 5, 5, 2, 0}, {2, 5, 5, 5, 0},
    {2, 5, 5, 6, 0}, {2, 5, 6, 1, 1}, {2, 5, 6, 1, 3}, {2, 5, 6, 1, 5},
    {2, 5, 6, 1, 6}, {2, 5, 6, 2, 0}, {2, 5, 6, 4, 0}, {2, 5, 6, 6, 0},
    {2, 6, 2, 2, 2}, {2, 6, 2, 2, 4}, {2, 6, 2, 2, 5}, {2, 6, 2, 2, 6},
    {2, 6, 2, 3, 1}, {2, 6, 2, 3, 4}, {2, 6, 2, 3, 5}, {2, 6, 2, 3, 6},
    {2, 6, 2, 5, 1}, {2, 6, 2, 5, 2}, {2, 6, 2, 5, 5}, {2, 6, 2, 5, 6},
    {2, 6, 2, 6, 1}, {2, 6, 2, 6, 2}, {2, 6, 2, 6, 4}, {2, 6, 2, 6, 6},
    {2, 6, 3, 1, 2}, {2, 6, 3, 1, 4}, {2, 6, 3, 1, 5}, {2, 6, 3, 1, 6},
    {2, 6, 3, 3, 0}, {2, 6, 3, 5, 0}, {2, 6, 3, 6, 0}, {2, 6, 4, 1, 1},
    {2, 6, 4, 1, 4}, {2, 6, 4, 1, 5}, {2, 6, 4, 1, 6}, {2, 6, 4, 2, 0},
    {2, 6, 4, 5, 0}, {2, 6, 4, 6, 0}, {2, 6, 6, 1, 1}, {2, 6, 6, 1, 2},
    {2, 6, 6, 1, 5}, {2, 6, 6, 1, 6}, {2, 6, 6, 2, 0}, {2, 6, 6, 3, 0},
    {2, 6, 6, 6, 0}, {4, 1, 3, 3, 3}, {4, 1, 3, 3, 4}, {4, 1, 3, 3, 5},
    {4, 1, 3, 3, 6}, {4, 1, 3, 4, 2}, {4, 1, 3, 4, 4}, {4, 1, 3, 4, 5},
    {4, 1, 3, 4, 6}, {4, 1, 3, 5, 2}, {4, 1, 3, 5, 3}, {4, 1, 3, 5, 5},
    {4, 1, 3, 5, 6}, {4, 1, 3, 6, 2}, {4, 1, 3, 6, 3}, {4, 1, 3, 6, 4},
    {4, 1, 3, 6, 6}, {4, 1, 4, 2, 3}, {4, 1, 4, 2, 4}, {4, 1, 4, 2, 5},
    {4, 1, 4, 2, 6}, {4, 1, 4, 4, 1}, {4, 1, 4, 4, 4}, {4, 1, 4, 4, 5},
    {4, 1, 4, 4, 6}, {4, 1, 4, 5, 1}, {4, 1, 4, 5, 3}, {4, 1, 4, 5, 5},
    {4, 1, 4, 5, 6}, {4, 1, 4, 6, 1}, {4, 1, 4, 6, 3}, {4, 1, 4, 6, 4},
    {4, 1, 4, 6, 6}, {4, 1, 5, 2, 2}, {4, 1, 5, 2, 4}, {4, 1, 5, 2, 5},
    {4, 1, 5, 2, 6}, {4, 1, 5, 3, 1}, {4, 1, 5, 3, 4}, {4, 1, 5, 3, 5},
    {4, 1, 5, 3, 6}, {4, 1, 5, 5, 1}, {4, 1, 5, 5, 2}, {4, 1, 5, 5, 5},
    {4, 1, 5, 5, 6}, {4, 1, 5, 6, 1}, {4, 1, 5, 6, 2}, {4, 1, 5, 6, 4},
    {4, 1, 5, 6, 6}, {4, 1, 6, 2, 2}, {4, 1, 6, 2, 3}, {4, 1, 6, 2, 5},
    {4, 1, 6, 2, 6}, {4, 1, 6, 3, 1}, {4, 1, 6, 3, 3}, {4, 1, 6, 3, 5},
    {4, 1, 6, 3, 6}, {4, 1, 6, 4, 1}, {4, 1, 6, 4, 2}, {4, 1, 6, 4, 5},
    {4, 1, 6, 4, 6}, {4, 1, 6, 6, 1}, {4, 1, 6, 6, 2}, {4, 1, 6, 6, 3},
    {4, 1, 6, 6, 6}, {4, 4, 0, 3, 3}, {4, 4, 0, 3, 4}, {4, 4, 0, 3, 5},
    {4, 4, 0, 3, 6}, {4, 4, 0, 4, 2}, {4, 4, 0, 4, 4}, {4, 4, 0, 4, 5},
    {4, 4, 0, 4, 6}, {4, 4, 0, 5, 2}, {4, 4, 0, 5, 3}, {4, 4, 0, 5, 5},
    {4, 4, 0, 5, 6}, {4, 4, 0, 6, 2}, {4, 4, 0, 6, 3}, {4, 4, 0, 6, 4},
    {4, 4, 0, 6, 6}, {4, 5, 0, 2, 3}, {4, 5, 0, 2, 4}, {4, 5, 0, 2, 5},
    {4, 5, 0, 2, 6}, {4, 5, 0, 4, 1}, {4, 5, 0, 4, 4}, {4, 5, 0, 4, 5},
    {4, 5, 0, 4, 6}, {4, 5, 0, 5, 1}, {4, 5, 0, 5, 3}, {4, 5, 0, 5, 5},
    {4, 5, 0, 5, 6}, {4, 5, 0, 6, 1}, {4, 5, 0, 6, 3}, {4, 5, 0, 6, 4},
    {4, 5, 0, 6, 6}, {4, 6, 0, 2, 2}, {4, 6, 0, 2, 4}, {4, 6, 0, 2, 5},
    {4, 6, 0, 2, 6}, {4, 6, 0, 3, 1}, {4, 6, 0, 3, 4}, {4, 6, 0, 3, 5},
    {4, 6, 0, 3, 6}, {4, 6, 0, 5, 1}, {4, 6, 0, 5, 2}, {4, 6, 0, 5, 5},
    {4, 6, 0, 5, 6}, {4, 6, 0, 6, 1}, {4, 6, 0, 6, 2}, {4, 6, 0, 6, 4},
    {4, 6, 0, 6, 6}, {5, 1, 2, 3, 3}, {5, 1, 2, 3, 4}, {5, 1, 2, 3, 5},
    {5, 1, 2, 3, 6}, {5, 1, 2, 4, 2}, {5, 1, 2, 4, 4}, {5, 1, 2, 4, 5},
    {5, 1, 2, 4, 6}, {5, 1, 2, 5, 2}, {5, 1, 2, 5, 3}, {5, 1, 2, 5, 5},
    {5, 1, 2, 5, 6}, {5, 1, 2, 6, 2}, {5, 1, 2, 6, 3}, {5, 1, 2, 6, 4},
    {5, 1, 2, 6, 6}, {5, 1, 4, 1, 3}, {5, 1, 4, 1, 4}, {5, 1, 4, 1, 5},
    {5, 1, 4, 1, 6}, {5, 1, 4, 4, 0}, {5, 1, 4, 5, 0}, {5, 1, 4, 6, 0},
    {5, 1, 5, 1, 2}, {5, 1, 5, 1, 4}, {5, 1, 5, 1, 5}, {5, 1, 5, 1, 6},
    {5, 1, 5, 3, 0}, {5, 1, 5, 5, 0}, {5, 1, 5, 6, 0}, {5, 1, 6, 1, 2},
    {5, 1, 6, 1, 3}, {5, 1, 6, 1, 5}, {5, 1, 6, 1, 6}, {5, 1, 6, 3, 0},
    {5, 1, 6, 4, 0}, {5, 1, 6, 6, 0}, {5, 3, 0, 3, 3}, {5, 3, 0, 3, 4},
    {5, 3, 0, 3, 5}, {5, 3, 0, 3, 6}, {5, 3, 0, 4, 2}, {5, 3, 0, 4, 4},
    {5, 3, 0, 4, 5}, {5, 3, 0, 4, 6}, {5, 3, 0, 5, 2}, {5, 3, 0, 5, 3},
    {5, 3, 0, 5, 5}, {5, 3, 0, 5, 6}, {5, 3, 0, 6, 2}, {5, 3, 0, 6, 3},
    {5, 3, 0, 6, 4}, {5, 3, 0, 6, 6}, {5, 5, 0, 1, 3}, {5, 5, 0, 1, 4},
    {5, 5, 0, 1, 5}, {5, 5, 0, 1, 6}, {5, 5, 0, 4, 0}, {5, 5, 0, 5, 0},
    {5, 5, 0, 6, 0}, {5, 6, 0, 1, 2}, {5, 6, 0, 1, 4}, {5, 6, 0, 1, 5},
    {5, 6, 0, 1, 6}, {5, 6, 0, 3, 0}, {5, 6, 0, 5, 0}, {5, 6, 0, 6, 0},
    {6, 1, 2, 2, 3}, {6, 1, 2, 2, 4}, {6, 1, 2, 2, 5}, {6, 1, 2, 2, 6},
    {6, 1, 2, 4, 1}, {6, 1, 2, 4, 4}, {6, 1, 2, 4, 5}, {6, 1, 2, 4, 6},
    {6, 1, 2, 5, 1}, {6, 1, 2, 5, 3}, {6, 1, 2, 5, 5}, {6, 1, 2, 5, 6},
    {6, 1, 2, 6, 1}, {6, 1, 2, 6, 3}, {6, 1, 2, 6, 4}, {6, 1, 2, 6, 6},
    {6, 1, 3, 1, 3}, {6, 1, 3, 1, 4}, {6, 1, 3, 1, 5}, {6, 1, 3, 1, 6},
    {6, 1, 3, 4, 0}, {6, 1, 3, 5, 0}, {6, 1, 3, 6, 0}, {6, 1, 5, 1, 1},
    {6, 1, 5, 1, 4}, {6, 1, 5, 1, 5}, {6, 1, 5, 1, 6}, {6, 1, 5, 2, 0},
    {6, 1, 5, 5, 0}, {6, 1, 5, 6, 0}, {6, 1, 6, 1, 1}, {6, 1, 6, 1, 3},
    {6, 1, 6, 1, 5}, {6, 1, 6, 1, 6}, {6, 1, 6, 2, 0}, {6, 1, 6, 4, 0},
    {6, 1, 6, 6, 0}, {6, 3, 0, 2, 3}, {6, 3, 0, 2, 4}, {6, 3, 0, 2, 5},
    {6, 3, 0, 2, 6}, {6, 3, 0, 4, 1}, {6, 3, 0, 4, 4}, {6, 3, 0, 4, 5},
    {6, 3, 0, 4, 6}, {6, 3, 0, 5, 1}, {6, 3, 0, 5, 3}, {6, 3, 0, 5, 5},
    {6, 3, 0, 5, 6}, {6, 3, 0, 6, 1}, {6, 3, 0, 6, 3}, {6, 3, 0, 6, 4},
    {6, 3, 0, 6, 6}, {6, 4, 0, 1, 3}, {6, 4, 0, 1, 4}, {6, 4, 0, 1, 5},
    {6, 4, 0, 1, 6}, {6, 4, 0, 4, 0}, {6, 4, 0, 5, 0}, {6, 4, 0, 6, 0},
    {6, 6, 0, 1, 1}, {6, 6, 0, 1, 4}, {6, 6, 0, 1, 5}, {6, 6, 0, 1, 6},
    {6, 6, 0, 2, 0}, {6, 6, 0, 5, 0}, {6, 6, 0, 6, 0}, {2, 2, 3, 3, 3},
    {2, 2, 3, 3, 4}, {2, 2, 3, 3, 5}, {2, 2, 3, 3, 6}, {2, 2, 3, 4, 2},
    {2, 2, 3, 4, 4}, {2, 2, 3, 4, 5}, {2, 2, 3, 4, 6}, {2, 2, 3, 5, 2},
    {2, 2, 3, 5, 3}, {2, 2, 3, 5, 5}, {2, 2, 3, 5, 6}, {2, 2, 3, 6, 2},
    {2, 2, 3, 6, 3}, {2, 2, 3, 6, 4}, {2, 2, 3, 6, 6}, {2, 2, 4, 2, 3},
    {2, 2, 4, 2, 4}, {2, 2, 4, 2, 5}, {2, 2, 4, 2, 6}, {2, 2, 4, 4, 1},
    {2, 2, 4, 4, 4}, {2, 2, 4, 4, 5}, {2, 2, 4, 4, 6}, {2, 2, 4, 5, 1},
    {2, 2, 4, 5, 3}, {2, 2, 4, 5, 5}, {2, 2, 4, 5, 6}, {2, 2, 4, 6, 1},
    {2, 2, 4, 6, 3}, {2, 2, 4, 6, 4}, {2, 2, 4, 6, 6}, {2, 2, 5, 2, 2},
    {2, 2, 5, 2, 4}, {2, 2, 5, 2, 5}, {2, 2, 5, 2, 6}, {2, 2, 5, 3, 1},
    {2, 2, 5, 3, 4}, {2, 2, 5, 3, 5}, {2, 2, 5, 3, 6}, {2, 2, 5, 5, 1},
    {2, 2, 5, 5, 2}, {2, 2, 5, 5, 5}, {2, 2, 5, 5, 6}, {2, 2, 5, 6, 1},
    {2, 2, 5, 6, 2}, {2, 2, 5, 6, 4}, {2, 2, 5, 6, 6}, {2, 2, 6, 2, 2},
    {2, 2, 6, 2, 3}, {2, 2, 6, 2, 5}, {2, 2, 6, 2, 6}, {2, 2, 6, 3, 1},
    {2, 2, 6, 3, 3}, {2, 2, 6, 3, 5}, {2, 2, 6, 3, 6}, {2, 2, 6, 4, 1},
    {2, 2, 6, 4, 2}, {2, 2, 6, 4, 5}, {2, 2, 6, 4, 6}, {2, 2, 6, 6, 1},
    {2, 2, 6, 6, 2}, {2, 2, 6, 6, 3}, {2, 2, 6, 6, 6}, {2, 4, 1, 3, 3},
    {2, 4, 1, 3, 4}, {2, 4, 1, 3, 5}, {2, 4, 1, 3, 6}, {2, 4, 1, 4, 2},
    {2, 4, 1, 4, 4}, {2, 4, 1, 4, 5}, {2, 4, 1, 4, 6}, {2, 4, 1, 5, 2},
    {2, 4, 1, 5, 3}, {2, 4, 1, 5, 5}, {2, 4, 1, 5, 6}, {2, 4, 1, 6, 2},
    {2, 4, 1, 6, 3}, {2, 4, 1, 6, 4}, {2, 4, 1, 6, 6}, {2, 4, 4, 0, 3},
    {2, 4, 4, 0, 4}, {2, 4, 4, 0, 5}, {2, 4, 4, 0, 6}, {2, 4, 5, 0, 2},
    {2, 4, 5, 0, 4}, {2, 4, 5, 0, 5}, {2, 4, 5, 0, 6}, {2, 4, 6, 0, 2},
    {2, 4, 6, 0, 3}, {2, 4, 6, 0, 5}, {2, 4, 6, 0, 6}, {2, 5, 1, 2, 3},
    {2, 5, 1, 2, 4}, {2, 5, 1, 2, 5}, {2, 5, 1, 2, 6}, {2, 5, 1, 4, 1},
    {2, 5, 1, 4, 4}, {2, 5, 1, 4, 5}, {2, 5, 1, 4, 6}, {2, 5, 1, 5, 1},
    {2, 5, 1, 5, 3}, {2, 5, 1, 5, 5}, {2, 5, 1, 5, 6}, {2, 5, 1, 6, 1},
    {2, 5, 1, 6, 3}, {2, 5, 1, 6, 4}, {2, 5, 1, 6, 6}, {2, 5, 3, 0, 3},
    {2, 5, 3, 0, 4}, {2, 5, 3, 0, 5}, {2, 5, 3, 0, 6}, {2, 5, 5, 0, 1},
    {2, 5, 5, 0, 4}, {2, 5, 5, 0, 5}, {2, 5, 5, 0, 6}, {2, 5, 6, 0, 1},
    {2, 5, 6, 0, 3}, {2, 5, 6, 0, 5}, {2, 5, 6, 0, 6}, {2, 6, 1, 2, 2},
    {2, 6, 1, 2, 4}, {2, 6, 1, 2, 5}, {2, 6, 1, 2, 6}, {2, 6, 1, 3, 1},
    {2, 6, 1, 3, 4}, {2, 6, 1, 3, 5}, {2, 6, 1, 3, 6}, {2, 6, 1, 5, 1},
    {2, 6, 1, 5, 2}, {2, 6, 1, 5, 5}, {2, 6, 1, 5, 6}, {2, 6, 1, 6, 1},
    {2, 6, 1, 6, 2}, {2, 6, 1, 6, 4}, {2, 6, 1, 6, 6}, {2, 6, 3, 0, 2},
    {2, 6, 3, 0, 4}, {2, 6, 3, 0, 5}, {2, 6, 3, 0, 6}, {2, 6, 4, 0, 1},
    {2, 6, 4, 0, 4}, {2, 6, 4, 0, 5}, {2, 6, 4, 0, 6}, {2, 6, 6, 0, 1},
    {2, 6, 6, 0, 2}, {2, 6, 6, 0, 5}, {2, 6, 6, 0, 6}, {3, 1, 3, 3, 3},
    {3, 1, 3, 3, 4}, {3, 1, 3, 3, 5}, {3, 1, 3, 3, 6}, {3, 1, 3, 4, 2},
    {3, 1, 3, 4, 4}, {3, 1, 3, 4, 5}, {3, 1, 3, 4, 6}, {3, 1, 3, 5, 2},
    {3, 1, 3, 5, 3}, {3, 1, 3, 5, 5}, {3, 1, 3, 5, 6}, {3, 1, 3, 6, 2},
    {3, 1, 3, 6, 3}, {3, 1, 3, 6, 4}, {3, 1, 3, 6, 6}, {3, 1, 4, 2, 3},
    {3, 1, 4, 2, 4}, {3, 1, 4, 2, 5}, {3, 1, 4, 2, 6}, {3, 1, 4, 4, 1},
    {3, 1, 4, 4, 4}, {3, 1, 4, 4, 5}, {3, 1, 4, 4, 6}, {3, 1, 4, 5, 1},
    {3, 1, 4, 5, 3}, {3, 1, 4, 5, 5}, {3, 1, 4, 5, 6}, {3, 1, 4, 6, 1},
    {3, 1, 4, 6, 3}, {3, 1, 4, 6, 4}, {3, 1, 4, 6, 6}, {3, 1, 5, 2, 2},
    {3, 1, 5, 2, 4}, {3, 1, 5, 2, 5}, {3, 1, 5, 2, 6}, {3, 1, 5, 3, 1},
    {3, 1, 5, 3, 4}, {3, 1, 5, 3, 5}, {3, 1, 5, 3, 6}, {3, 1, 5, 5, 1},
    {3, 1, 5, 5, 2}, {3, 1, 5, 5, 5}, {3, 1, 5, 5, 6}, {3, 1, 5, 6, 1},
    {3, 1, 5, 6, 2}, {3, 1, 5, 6, 4}, {3, 1, 5, 6, 6}, {3, 1, 6, 2, 2},
    {3, 1, 6, 2, 3}, {3, 1, 6, 2, 5}, {3, 1, 6, 2, 6}, {3, 1, 6, 3, 1},
    {3, 1, 6, 3, 3}, {3, 1, 6, 3, 5}, {3, 1, 6, 3, 6}, {3, 1, 6, 4, 1},
    {3, 1, 6, 4, 2}, {3, 1, 6, 4, 5}, {3, 1, 6, 4, 6}, {3, 1, 6, 6, 1},
    {3, 1, 6, 6, 2}, {3, 1, 6, 6, 3}, {3, 1, 6, 6, 6}, {3, 4, 0, 3, 3},
    {3, 4, 0, 3, 4}, {3, 4, 0, 3, 5}, {3, 4, 0, 3, 6}, {3, 4, 0, 4, 2},
    {3, 4, 0, 4, 4}, {3, 4, 0, 4, 5}, {3, 4, 0, 4, 6}, {3, 4, 0, 5, 2},
    {3, 4, 0, 5, 3}, {3, 4, 0, 5, 5}, {3, 4, 0, 5, 6}, {3, 4, 0, 6, 2},
    {3, 4, 0, 6, 3}, {3, 4, 0, 6, 4}, {3, 4, 0, 6, 6}, {3, 5, 0, 2, 3},
    {3, 5, 0, 2, 4}, {3, 5, 0, 2, 5}, {3, 5, 0, 2, 6}, {3, 5, 0, 4, 1},
    {3, 5, 0, 4, 4}, {3, 5, 0, 4, 5}, {3, 5, 0, 4, 6}, {3, 5, 0, 5, 1},
    {3, 5, 0, 5, 3}, {3, 5, 0, 5, 5}, {3, 5, 0, 5, 6}, {3, 5, 0, 6, 1},
    {3, 5, 0, 6, 3}, {3, 5, 0, 6, 4}, {3, 5, 0, 6, 6}, {3, 6, 0, 2, 2},
    {3, 6, 0, 2, 4}, {3, 6, 0, 2, 5}, {3, 6, 0, 2, 6}, {3, 6, 0, 3, 1},
    {3, 6, 0, 3, 4}, {3, 6, 0, 3, 5}, {3, 6, 0, 3, 6}, {3, 6, 0, 5, 1},
    {3, 6, 0, 5, 2}, {3, 6, 0, 5, 5}, {3, 6, 0, 5, 6}, {3, 6, 0, 6, 1},
    {3, 6, 0, 6, 2}, {3, 6, 0, 6, 4}, {3, 6, 0, 6, 6}, {5, 1, 1, 3, 3},
    {5, 1, 1, 3, 4}, {5, 1, 1, 3, 5}, {5, 1, 1, 3, 6}, {5, 1, 1, 4, 2},
    {5, 1, 1, 4, 4}, {5, 1, 1, 4, 5}, {5, 1, 1, 4, 6}, {5, 1, 1, 5, 2},
    {5, 1, 1, 5, 3}, {5, 1, 1, 5, 5}, {5, 1, 1, 5, 6}, {5, 1, 1, 6, 2},
    {5, 1, 1, 6, 3}, {5, 1, 1, 6, 4}, {5, 1, 1, 6, 6}, {5, 1, 4, 0, 3},
    {5, 1, 4, 0, 4}, {5, 1, 4, 0, 5}, {5, 1, 4, 0, 6}, {5, 1, 5, 0, 2},
    {5, 1, 5, 0, 4}, {5, 1, 5, 0, 5}, {5, 1, 5, 0, 6}, {5, 1, 6, 0, 2},
    {5, 1, 6, 0, 3}, {5, 1, 6, 0, 5}, {5, 1, 6, 0, 6}, {5, 2, 0, 3, 3},
    {5, 2, 0, 3, 4}, {5, 2, 0, 3, 5}, {5, 2, 0, 3, 6}, {5, 2, 0, 4, 2},
    {5, 2, 0, 4, 4}, {5, 2, 0, 4, 5}, {5, 2, 0, 4, 6}, {5, 2, 0, 5, 2},
    {5, 2, 0, 5, 3}, {5, 2, 0, 5, 5}, {5, 2, 0, 5, 6}, {5, 2, 0, 6, 2},
    {5, 2, 0, 6, 3}, {5, 2, 0, 6, 4}, {5, 2, 0, 6, 6}, {5, 5, 0, 0, 3},
    {5, 5, 0, 0, 4}, {5, 5, 0, 0, 5}, {5, 5, 0, 0, 6}, {5, 6, 0, 0, 2},
    {5, 6, 0, 0, 4}, {5, 6, 0, 0, 5}, {5, 6, 0, 0, 6}, {6, 1, 1, 2, 3},
    {6, 1, 1, 2, 4}, {6, 1, 1, 2, 5}, {6, 1, 1, 2, 6}, {6, 1, 1, 4, 1},
    {6, 1, 1, 4, 4}, {6, 1, 1, 4, 5}, {6, 1, 1, 4, 6}, {6, 1, 1, 5, 1},
    {6, 1, 1, 5, 3}, {6, 1, 1, 5, 5}, {6, 1, 1, 5, 6}, {6, 1, 1, 6, 1},
    {6, 1, 1, 6, 3}, {6, 1, 1, 6, 4}, {6, 1, 1, 6, 6}, {6, 1, 3, 0, 3},
    {6, 1, 3, 0, 4}, {6, 1, 3, 0, 5}, {6, 1, 3, 0, 6}, {6, 1, 5, 0, 1},
    {6, 1, 5, 0, 4}, {6, 1, 5, 0, 5}, {6, 1, 5, 0, 6}, {6, 1, 6, 0, 1},
    {6, 1, 6, 0, 3}, {6, 1, 6, 0, 5}, {6, 1, 6, 0, 6}, {6, 2, 0, 2, 3},
    {6, 2, 0, 2, 4}, {6, 2, 0, 2, 5}, {6, 2, 0, 2, 6}, {6, 2, 0, 4, 1},
    {6, 2, 0, 4, 4}, {6, 2, 0, 4, 5}, {6, 2, 0, 4, 6}, {6, 2, 0, 5, 1},
    {6, 2, 0, 5, 3}, {6, 2, 0, 5, 5}, {6, 2, 0, 5, 6}, {6, 2, 0, 6, 1},
    {6, 2, 0, 6, 3}, {6, 2, 0, 6, 4}, {6, 2, 0, 6, 6}, {6, 4, 0, 0, 3},
    {6, 4, 0, 0, 4}, {6, 4, 0, 0, 5}, {6, 4, 0, 0, 6}, {6, 6, 0, 0, 1},
    {6, 6, 0, 0, 4}, {6, 6, 0, 0, 5}, {6, 6, 0, 0, 6}, {2, 2, 2, 3, 3},
    {2, 2, 2, 3, 4}, {2, 2, 2, 3, 5}, {2, 2, 2, 3, 6}, {2, 2, 2, 4, 2},
    {2, 2, 2, 4, 4}, {2, 2, 2, 4, 5}, {2, 2, 2, 4, 6}, {2, 2, 2, 5, 2},
    {2, 2, 2, 5, 3}, {2, 2, 2, 5, 5}, {2, 2, 2, 5, 6}, {2, 2, 2, 6, 2},
    {2, 2, 2, 6, 3}, {2, 2, 2, 6, 4}, {2, 2, 2, 6, 6}, {2, 2, 4, 1, 3},
    {2, 2, 4, 1, 4}, {2, 2, 4, 1, 5}, {2, 2, 4, 1, 6}, {2, 2, 4, 4, 0},
    {2, 2, 4, 5, 0}, {2, 2, 4, 6, 0}, {2, 2, 5, 1, 2}, {2, 2, 5, 1, 4},
    {2, 2, 5, 1, 5}, {2, 2, 5, 1, 6}, {2, 2, 5, 3, 0}, {2, 2, 5, 5, 0},
    {2, 2, 5, 6, 0}, {2, 2, 6, 1, 2}, {2, 2, 6, 1, 3}, {2, 2, 6, 1, 5},
    {2, 2, 6, 1, 6}, {2, 2, 6, 3, 0}, {2, 2, 6, 4, 0}, {2, 2, 6, 6, 0},
    {2, 3, 1, 3, 3}, {2, 3, 1, 3, 4}, {2, 3, 1, 3, 5}, {2, 3, 1, 3, 6},
    {2, 3, 1, 4, 2}, {2, 3, 1, 4, 4}, {2, 3, 1, 4, 5}, {2, 3, 1, 4, 6},
    {2, 3, 1, 5, 2}, {2, 3, 1, 5, 3}, {2, 3, 1, 5, 5}, {2, 3, 1, 5, 6},
    {2, 3, 1, 6, 2}, {2, 3, 1, 6, 3}, {2, 3, 1, 6, 4}, {2, 3, 1, 6, 6},
    {2, 3, 4, 0, 3}, {2, 3, 4, 0, 4}, {2, 3, 4, 0, 5}, {2, 3, 4, 0, 6},
    {2, 3, 5, 0, 2}, {2, 3, 5, 0, 4}, {2, 3, 5, 0, 5}, {2, 3, 5, 0, 6},
    {2, 3, 6, 0, 2}, {2, 3, 6, 0, 3}, {2, 3, 6, 0, 5}, {2, 3, 6, 0, 6},
    {2, 5, 1, 1, 3}, {2, 5, 1, 1, 4}, {2, 5, 1, 1, 5}, {2, 5, 1, 1, 6},
    {2, 5, 1, 4, 0}, {2, 5, 1, 5, 0}, {2, 5, 1, 6, 0}, {2, 5, 2, 0, 3},
    {2, 5, 2, 0, 4}, {2, 5, 2, 0, 5}, {2, 5, 2, 0, 6}, {2, 5, 5, 0, 0},
    {2, 5, 6, 0, 0}, {2, 6, 1, 1, 2}, {2, 6, 1, 1, 4}, {2, 6, 1, 1, 5},
    {2, 6, 1, 1, 6}, {2, 6, 1, 3, 0}, {2, 6, 1, 5, 0}, {2, 6, 1, 6, 0},
    {2, 6, 2, 0, 2}, {2, 6, 2, 0, 4}, {2, 6, 2, 0, 5}, {2, 6, 2, 0, 6},
    {2, 6, 4, 0, 0}, {2, 6, 6, 0, 0}, {3, 1, 2, 3, 3}, {3, 1, 2, 3, 4},
    {3, 1, 2, 3, 5}, {3, 1, 2, 3, 6}, {3, 1, 2, 4, 2}, {3, 1, 2, 4, 4},
    {3, 1, 2, 4, 5}, {3, 1, 2, 4, 6}, {3, 1, 2, 5, 2}, {3, 1, 2, 5, 3},
    {3, 1, 2, 5, 5}, {3, 1, 2, 5, 6}, {3, 1, 2, 6, 2}, {3, 1, 2, 6, 3},
    {3, 1, 2, 6, 4}, {3, 1, 2, 6, 6}, {3, 1, 4, 1, 3}, {3, 1, 4, 1, 4},
    {3, 1, 4, 1, 5}, {3, 1, 4, 1, 6}, {3, 1, 4, 4, 0}, {3, 1, 4, 5, 0},
    {3, 1, 4, 6, 0}, {3, 1, 5, 1, 2}, {3, 1, 5, 1, 4}, {3, 1, 5, 1, 5},
    {3, 1, 5, 1, 6}, {3, 1, 5, 3, 0}, {3, 1, 5, 5, 0}, {3, 1, 5, 6, 0},
    {3, 1, 6, 1, 2}, {3, 1, 6, 1, 3}, {3, 1, 6, 1, 5}, {3, 1, 6, 1, 6},
    {3, 1, 6, 3, 0}, {3, 1, 6, 4, 0}, {3, 1, 6, 6, 0}, {3, 3, 0, 3, 3},
    {3, 3, 0, 3, 4}, {3, 3, 0, 3, 5}, {3, 3, 0, 3, 6}, {3, 3, 0, 4, 2},
    {3, 3, 0, 4, 4}, {3, 3, 0, 4, 5}, {3, 3, 0, 4, 6}, {3, 3, 0, 5, 2},
    {3, 3, 0, 5, 3}, {3, 3, 0, 5, 5}, {3, 3, 0, 5, 6}, {3, 3, 0, 6, 2},
    {3, 3, 0, 6, 3}, {3, 3, 0, 6, 4}, {3, 3, 0, 6, 6}, {3, 5, 0, 1, 3},
    {3, 5, 0, 1, 4}, {3, 5, 0, 1, 5}, {3, 5, 0, 1, 6}, {3, 5, 0, 4, 0},
    {3, 5, 0, 5, 0}, {3, 5, 0, 6, 0}, {3, 6, 0, 1, 2}, {3, 6, 0, 1, 4},
    {3, 6, 0, 1, 5}, {3, 6, 0, 1, 6}, {3, 6, 0, 3, 0}, {3, 6, 0, 5, 0},
    {3, 6, 0, 6, 0}, {4, 1, 1, 3, 3}, {4, 1, 1, 3, 4}, {4, 1, 1, 3, 5},
    {4, 1, 1, 3, 6}, {4, 1, 1, 4, 2}, {4, 1, 1, 4, 4}, {4, 1, 1, 4, 5},
    {4, 1, 1, 4, 6}, {4, 1, 1, 5, 2}, {4, 1, 1, 5, 3}, {4, 1, 1, 5, 5},
    {4, 1, 1, 5, 6}, {4, 1, 1, 6, 2}, {4, 1, 1, 6, 3}, {4, 1, 1, 6, 4},
    {4, 1, 1, 6, 6}, {4, 1, 4, 0, 3}, {4, 1, 4, 0, 4}, {4, 1, 4, 0, 5},
    {4, 1, 4, 0, 6}, {4, 1, 5, 0, 2}, {4, 1, 5, 0, 4}, {4, 1, 5, 0, 5},
    {4, 1, 5, 0, 6}, {4, 1, 6, 0, 2}, {4, 1, 6, 0, 3}, {4, 1, 6, 0, 5},
    {4, 1, 6, 0, 6}, {4, 2, 0, 3, 3}, {4, 2, 0, 3, 4}, {4, 2, 0, 3, 5},
    {4, 2, 0, 3, 6}, {4, 2, 0, 4, 2}, {4, 2, 0, 4, 4}, {4, 2, 0, 4, 5},
    {4, 2, 0, 4, 6}, {4, 2, 0, 5, 2}, {4, 2, 0, 5, 3}, {4, 2, 0, 5, 5},
    {4, 2, 0, 5, 6}, {4, 2, 0, 6, 2}, {4, 2, 0, 6, 3}, {4, 2, 0, 6, 4},
    {4, 2, 0, 6, 6}, {4, 5, 0, 0, 3}, {4, 5, 0, 0, 4}, {4, 5, 0, 0, 5},
    {4, 5, 0, 0, 6}, {4, 6, 0, 0, 2}, {4, 6, 0, 0, 4}, {4, 6, 0, 0, 5},
    {4, 6, 0, 0, 6}, {6, 1, 1, 1, 3}, {6, 1, 1, 1, 4}, {6, 1, 1, 1, 5},
    {6, 1, 1, 1, 6}, {6, 1, 1, 4, 0}, {6, 1, 1, 5, 0}, {6, 1, 1, 6, 0},
    {6, 1, 2, 0, 3}, {6, 1, 2, 0, 4}, {6, 1, 2, 0, 5}, {6, 1, 2, 0, 6},
    {6, 1, 5, 0, 0}, {6, 1, 6, 0, 0}, {6, 2, 0, 1, 3}, {6, 2, 0, 1, 4},
    {6, 2, 0, 1, 5}, {6, 2, 0, 1, 6}, {6, 2, 0, 4, 0}, {6, 2, 0, 5, 0},
    {6, 2, 0, 6, 0}, {6, 3, 0, 0, 3}, {6, 3, 0, 0, 4}, {6, 3, 0, 0, 5},
    {6, 3, 0, 0, 6}, {6, 6, 0, 0, 0}, {1, 3, 3, 3, 3}, {1, 3, 3, 3, 4},
    {1, 3, 3, 3, 5}, {1, 3, 3, 3, 6}, {1, 3, 3, 4, 2}, {1, 3, 3, 4, 4},
    {1, 3, 3, 4, 5}, {1, 3, 3, 4, 6}, {1, 3, 3, 5, 2}, {1, 3, 3, 5, 3},
    {1, 3, 3, 5, 5}, {1, 3, 3, 5, 6}, {1, 3, 3, 6, 2}, {1, 3, 3, 6, 3},
    {1, 3, 3, 6, 4}, {1, 3, 3, 6, 6}, {1, 3, 4, 2, 3}, {1, 3, 4, 2, 4},
    {1, 3, 4, 2, 5}, {1, 3, 4, 2, 6}, {1, 3, 4, 4, 1}, {1, 3, 4, 4, 4},
    {1, 3, 4, 4, 5}, {1, 3, 4, 4, 6}, {1, 3, 4, 5, 1}, {1, 3, 4, 5, 3},
    {1, 3, 4, 5, 5}, {1, 3, 4, 5, 6}, {1, 3, 4, 6, 1}, {1, 3, 4, 6, 3},
    {1, 3, 4, 6, 4}, {1, 3, 4, 6, 6}, {1, 3, 5, 2, 2}, {1, 3, 5, 2, 4},
    {1, 3, 5, 2, 5}, {1, 3, 5, 2, 6}, {1, 3, 5, 3, 1}, {1, 3, 5, 3, 4},
    {1, 3, 5, 3, 5}, {1, 3, 5, 3, 6}, {1, 3, 5, 5, 1}, {1, 3, 5, 5, 2},
    {1, 3, 5, 5, 5}, {1, 3, 5, 5, 6}, {1, 3, 5, 6, 1}, {1, 3, 5, 6, 2},
    {1, 3, 5, 6, 4}, {1, 3, 5, 6, 6}, {1, 3, 6, 2, 2}, {1, 3, 6, 2, 3},
    {1, 3, 6, 2, 5}, {1, 3, 6, 2, 6}, {1, 3, 6, 3, 1}, {1, 3, 6, 3, 3},
    {1, 3, 6, 3, 5}, {1, 3, 6, 3, 6}, {1, 3, 6, 4, 1}, {1, 3, 6, 4, 2},
    {1, 3, 6, 4, 5}, {1, 3, 6, 4, 6}, {1, 3, 6, 6, 1}, {1, 3, 6, 6, 2},
    {1, 3, 6, 6, 3}, {1, 3, 6, 6, 6}, {1, 4, 2, 3, 3}, {1, 4, 2, 3, 4},
    {1, 4, 2, 3, 5}, {1, 4, 2, 3, 6}, {1, 4, 2, 4, 2}, {1, 4, 2, 4, 4},
    {1, 4, 2, 4, 5}, {1, 4, 2, 4, 6}, {1, 4, 2, 5, 2}, {1, 4, 2, 5, 3},
    {1, 4, 2, 5, 5}, {1, 4, 2, 5, 6}, {1, 4, 2, 6, 2}, {1, 4, 2, 6, 3},
    {1, 4, 2, 6, 4}, {1, 4, 2, 6, 6}, {1, 4, 4, 1, 3}, {1, 4, 4, 1, 4},
    {1, 4, 4, 1, 5}, {1, 4, 4, 1, 6}, {1, 4, 4, 4, 0}, {1, 4, 4, 5, 0},
    {1, 4, 4, 6, 0}, {1, 4, 5, 1, 2}, {1, 4, 5, 1, 4}, {1, 4, 5, 1, 5},
    {1, 4, 5, 1, 6}, {1, 4, 5, 3, 0}, {1, 4, 5, 5, 0}, {1, 4, 5, 6, 0},
    {1, 4, 6, 1, 2}, {1, 4, 6, 1, 3}, {1, 4, 6, 1, 5}, {1, 4, 6, 1, 6},
    {1, 4, 6, 3, 0}, {1, 4, 6, 4, 0}, {1, 4, 6, 6, 0}, {1, 5, 2, 2, 3},
    {1, 5, 2, 2, 4}, {1, 5, 2, 2, 5}, {1, 5, 2, 2, 6}, {1, 5, 2, 4, 1},
    {1, 5, 2, 4, 4}, {1, 5, 2, 4, 5}, {1, 5, 2, 4, 6}, {1, 5, 2, 5, 1},
    {1, 5, 2, 5, 3}, {1, 5, 2, 5, 5}, {1, 5, 2, 5, 6}, {1, 5, 2, 6, 1},
    {1, 5, 2, 6, 3}, {1, 5, 2, 6, 4}, {1, 5, 2, 6, 6}, {1, 5, 3, 1, 3},
    {1, 5, 3, 1, 4}, {1, 5, 3, 1, 5}, {1, 5, 3, 1, 6}, {1, 5, 3, 4, 0},
    {1, 5, 3, 5, 0}, {1, 5, 3, 6, 0}, {1, 5, 5, 1, 1}, {1, 5, 5, 1, 4},
    {1, 5, 5, 1, 5}, {1, 5, 5, 1, 6}, {1, 5, 5, 2, 0}, {1, 5, 5, 5, 0},
    {1, 5, 5, 6, 0}, {1, 5, 6, 1, 1}, {1, 5, 6, 1, 3}, {1, 5, 6, 1, 5},
    {1, 5, 6, 1, 6}, {1, 5, 6, 2, 0}, {1, 5, 6, 4, 0}, {1, 5, 6, 6, 0},
    {1, 6, 2, 2, 2}, {1, 6, 2, 2, 4}, {1, 6, 2, 2, 5}, {1, 6, 2, 2, 6},
    {1, 6, 2, 3, 1}, {1, 6, 2, 3, 4}, {1, 6, 2, 3, 5}, {1, 6, 2, 3, 6},
    {1, 6, 2, 5, 1}, {1, 6, 2, 5, 2}, {1, 6, 2, 5, 5}, {1, 6, 2, 5, 6},
    {1, 6, 2, 6, 1}, {1, 6, 2, 6, 2}, {1, 6, 2, 6, 4}, {1, 6, 2, 6, 6},
    {1, 6, 3, 1, 2}, {1, 6, 3, 1, 4}, {1, 6, 3, 1, 5}, {1, 6, 3, 1, 6},
    {1, 6, 3, 3, 0}, {1, 6, 3, 5, 0}, {1, 6, 3, 6, 0}, {1, 6, 4, 1, 1},
    {1, 6, 4, 1, 4}, {1, 6, 4, 1, 5}, {1, 6, 4, 1, 6}, {1, 6, 4, 2, 0},
    {1, 6, 4, 5, 0}, {1, 6, 4, 6, 0}, {1, 6, 6, 1, 1}, {1, 6, 6, 1, 2},
    {1, 6, 6, 1, 5}, {1, 6, 6, 1, 6}, {1, 6, 6, 2, 0}, {1, 6, 6, 3, 0},
    {1, 6, 6, 6, 0}, {4, 0, 3, 3, 3}, {4, 0, 3, 3, 4}, {4, 0, 3, 3, 5},
    {4, 0, 3, 3, 6}, {4, 0, 3, 4, 2}, {4, 0, 3, 4, 4}, {4, 0, 3, 4, 5},
    {4, 0, 3, 4, 6}, {4, 0, 3, 5, 2}, {4, 0, 3, 5, 3}, {4, 0, 3, 5, 5},
    {4, 0, 3, 5, 6}, {4, 0, 3, 6, 2}, {4, 0, 3, 6, 3}, {4, 0, 3, 6, 4},
    {4, 0, 3, 6, 6}, {4, 0, 4, 2, 3}, {4, 0, 4, 2, 4}, {4, 0, 4, 2, 5},
    {4, 0, 4, 2, 6}, {4, 0, 4, 4, 1}, {4, 0, 4, 4, 4}, {4, 0, 4, 4, 5},
    {4, 0, 4, 4, 6}, {4, 0, 4, 5, 1}, {4, 0, 4, 5, 3}, {4, 0, 4, 5, 5},
    {4, 0, 4, 5, 6}, {4, 0, 4, 6, 1}, {4, 0, 4, 6, 3}, {4, 0, 4, 6, 4},
    {4, 0, 4, 6, 6}, {4, 0, 5, 2, 2}, {4, 0, 5, 2, 4}, {4, 0, 5, 2, 5},
    {4, 0, 5, 2, 6}, {4, 0, 5, 3, 1}, {4, 0, 5, 3, 4}, {4, 0, 5, 3, 5},
    {4, 0, 5, 3, 6}, {4, 0, 5, 5, 1}, {4, 0, 5, 5, 2}, {4, 0, 5, 5, 5},
    {4, 0, 5, 5, 6}, {4, 0, 5, 6, 1}, {4, 0, 5, 6, 2}, {4, 0, 5, 6, 4},
    {4, 0, 5, 6, 6}, {4, 0, 6, 2, 2}, {4, 0, 6, 2, 3}, {4, 0, 6, 2, 5},
    {4, 0, 6, 2, 6}, {4, 0, 6, 3, 1}, {4, 0, 6, 3, 3}, {4, 0, 6, 3, 5},
    {4, 0, 6, 3, 6}, {4, 0, 6, 4, 1}, {4, 0, 6, 4, 2}, {4, 0, 6, 4, 5},
    {4, 0, 6, 4, 6}, {4, 0, 6, 6, 1}, {4, 0, 6, 6, 2}, {4, 0, 6, 6, 3},
    {4, 0, 6, 6, 6}, {5, 0, 2, 3, 3}, {5, 0, 2, 3, 4}, {5, 0, 2, 3, 5},
    {5, 0, 2, 3, 6}, {5, 0, 2, 4, 2}, {5, 0, 2, 4, 4}, {5, 0, 2, 4, 5},
    {5, 0, 2, 4, 6}, {5, 0, 2, 5, 2}, {5, 0, 2, 5, 3}, {5, 0, 2, 5, 5},
    {5, 0, 2, 5, 6}, {5, 0, 2, 6, 2}, {5, 0, 2, 6, 3}, {5, 0, 2, 6, 4},
    {5, 0, 2, 6, 6}, {5, 0, 4, 1, 3}, {5, 0, 4, 1, 4}, {5, 0, 4, 1, 5},
    {5, 0, 4, 1, 6}, {5, 0, 4, 4, 0}, {5, 0, 4, 5, 0}, {5, 0, 4, 6, 0},
    {5, 0, 5, 1, 2}, {5, 0, 5, 1, 4}, {5, 0, 5, 1, 5}, {5, 0, 5, 1, 6},
    {5, 0, 5, 3, 0}, {5, 0, 5, 5, 0}, {5, 0, 5, 6, 0}, {5, 0, 6, 1, 2},
    {5, 0, 6, 1, 3}, {5, 0, 6, 1, 5}, {5, 0, 6, 1, 6}, {5, 0, 6, 3, 0},
    {5, 0, 6, 4, 0}, {5, 0, 6, 6, 0}, {6, 0, 2, 2, 3}, {6, 0, 2, 2, 4},
    {6, 0, 2, 2, 5}, {6, 0, 2, 2, 6}, {6, 0, 2, 4, 1}, {6, 0, 2, 4, 4},
    {6, 0, 2, 4, 5}, {6, 0, 2, 4, 6}, {6, 0, 2, 5, 1}, {6, 0, 2, 5, 3},
    {6, 0, 2, 5, 5}, {6, 0, 2, 5, 6}, {6, 0, 2, 6, 1}, {6, 0, 2, 6, 3},
    {6, 0, 2, 6, 4}, {6, 0, 2, 6, 6}, {6, 0, 3, 1, 3}, {6, 0, 3, 1, 4},
    {6, 0, 3, 1, 5}, {6, 0, 3, 1, 6}, {6, 0, 3, 4, 0}, {6, 0, 3, 5, 0},
    {6, 0, 3, 6, 0}, {6, 0, 5, 1, 1}, {6, 0, 5, 1, 4}, {6, 0, 5, 1, 5},
    {6, 0, 5, 1, 6}, {6, 0, 5, 2, 0}, {6, 0, 5, 5, 0}, {6, 0, 5, 6, 0},
    {6, 0, 6, 1, 1}, {6, 0, 6, 1, 3}, {6, 0, 6, 1, 5}, {6, 0, 6, 1, 6},
    {6, 0, 6, 2, 0}, {6, 0, 6, 4, 0}, {6, 0, 6, 6, 0}, {1, 2, 3, 3, 3},
    {1, 2, 3, 3, 4}, {1, 2, 3, 3, 5}, {1, 2, 3, 3, 6}, {1, 2, 3, 4, 2},
    {1, 2, 3, 4, 4}, {1, 2, 3, 4, 5}, {1, 2, 3, 4, 6}, {1, 2, 3, 5, 2},
    {1, 2, 3, 5, 3}, {1, 2, 3, 5, 5}, {1, 2, 3, 5, 6}, {1, 2, 3, 6, 2},
    {1, 2, 3, 6, 3}, {1, 2, 3, 6, 4}, {1, 2, 3, 6, 6}, {1, 2, 4, 2, 3},
    {1, 2, 4, 2, 4}, {1, 2, 4, 2, 5}, {1, 2, 4, 2, 6}, {1, 2, 4, 4, 1},
    {1, 2, 4, 4, 4}, {1, 2, 4, 4, 5}, {1, 2, 4, 4, 6}, {1, 2, 4, 5, 1},
    {1, 2, 4, 5, 3}, {1, 2, 4, 5, 5}, {1, 2, 4, 5, 6}, {1, 2, 4, 6, 1},
    {1, 2, 4, 6, 3}, {1, 2, 4, 6, 4}, {1, 2, 4, 6, 6}, {1, 2, 5, 2, 2},
    {1, 2, 5, 2, 4}, {1, 2, 5, 2, 5}, {1, 2, 5, 2, 6}, {1, 2, 5, 3, 1},
    {1, 2, 5, 3, 4}, {1, 2, 5, 3, 5}, {1, 2, 5, 3, 6}, {1, 2, 5, 5, 1},
    {1, 2, 5, 5, 2}, {1, 2, 5, 5, 5}, {1, 2, 5, 5, 6}, {1, 2, 5, 6, 1},
    {1, 2, 5, 6, 2}, {1, 2, 5, 6, 4}, {1, 2, 5, 6, 6}, {1, 2, 6, 2, 2},
    {1, 2, 6, 2, 3}, {1, 2, 6, 2, 5}, {1, 2, 6, 2, 6}, {1, 2, 6, 3, 1},
    {1, 2, 6, 3, 3}, {1, 2, 6, 3, 5}, {1, 2, 6, 3, 6}, {1, 2, 6, 4, 1},
    {1, 2, 6, 4, 2}, {1, 2, 6, 4, 5}, {1, 2, 6, 4, 6}, {1, 2, 6, 6, 1},
    {1, 2, 6, 6, 2}, {1, 2, 6, 6, 3}, {1, 2, 6, 6, 6}, {1, 4, 1, 3, 3},
    {1, 4, 1, 3, 4}, {1, 4, 1, 3, 5}, {1, 4, 1, 3, 6}, {1, 4, 1, 4, 2},
    {1, 4, 1, 4, 4}, {1, 4, 1, 4, 5}, {1, 4, 1, 4, 6}, {1, 4, 1, 5, 2},
    {1, 4, 1, 5, 3}, {1, 4, 1, 5, 5}, {1, 4, 1, 5, 6}, {1, 4, 1, 6, 2},
    {1, 4, 1, 6, 3}, {1, 4, 1, 6, 4}, {1, 4, 1, 6, 6}, {1, 4, 4, 0, 3},
    {1, 4, 4, 0, 4}, {1, 4, 4, 0, 5}, {1, 4, 4, 0, 6}, {1, 4, 5, 0, 2},
    {1, 4, 5, 0, 4}, {1, 4, 5, 0, 5}, {1, 4, 5, 0, 6}, {1, 4, 6, 0, 2},
    {1, 4, 6, 0, 3}, {1, 4, 6, 0, 5}, {1, 4, 6, 0, 6}, {1, 5, 1, 2, 3},
    {1, 5, 1, 2, 4}, {1, 5, 1, 2, 5}, {1, 5, 1, 2, 6}, {1, 5, 1, 4, 1},
    {1, 5, 1, 4, 4}, {1, 5, 1, 4, 5}, {1, 5, 1, 4, 6}, {1, 5, 1, 5, 1},
    {1, 5, 1, 5, 3}, {1, 5, 1, 5, 5}, {1, 5, 1, 5, 6}, {1, 5, 1, 6, 1},
    {1, 5, 1, 6, 3}, {1, 5, 1, 6, 4}, {1, 5, 1, 6, 6}, {1, 5, 3, 0, 3},
    {1, 5, 3, 0, 4}, {1, 5, 3, 0, 5}, {1, 5, 3, 0, 6}, {1, 5, 5, 0, 1},
    {1, 5, 5, 0, 4}, {1, 5, 5, 0, 5}, {1, 5, 5, 0, 6}, {1, 5, 6, 0, 1},
    {1, 5, 6, 0, 3}, {1, 5, 6, 0, 5}, {1, 5, 6, 0, 6}, {1, 6, 1, 2, 2},
    {1, 6, 1, 2, 4}, {1, 6, 1, 2, 5}, {1, 6, 1, 2, 6}, {1, 6, 1, 3, 1},
    {1, 6, 1, 3, 4}, {1, 6, 1, 3, 5}, {1, 6, 1, 3, 6}, {1, 6, 1, 5, 1},
    {1, 6, 1, 5, 2}, {1, 6, 1, 5, 5}, {1, 6, 1, 5, 6}, {1, 6, 1, 6, 1},
    {1, 6, 1, 6, 2}, {1, 6, 1, 6, 4}, {1, 6, 1, 6, 6}, {1, 6, 3, 0, 2},
    {1, 6, 3, 0, 4}, {1, 6, 3, 0, 5}, {1, 6, 3, 0, 6}, {1, 6, 4, 0, 1},
    {1, 6, 4, 0, 4}, {1, 6, 4, 0, 5}, {1, 6, 4, 0, 6}, {1, 6, 6, 0, 1},
    {1, 6, 6, 0, 2}, {1, 6, 6, 0, 5}, {1, 6, 6, 0, 6}, {3, 0, 3, 3, 3},
    {3, 0, 3, 3, 4}, {3, 0, 3, 3, 5}, {3, 0, 3, 3, 6}, {3, 0, 3, 4, 2},
    {3, 0, 3, 4, 4}, {3, 0, 3, 4, 5}, {3, 0, 3, 4, 6}, {3, 0, 3, 5, 2},
    {3, 0, 3, 5, 3}, {3, 0, 3, 5, 5}, {3, 0, 3, 5, 6}, {3, 0, 3, 6, 2},
    {3, 0, 3, 6, 3}, {3, 0, 3, 6, 4}, {3, 0, 3, 6, 6}, {3, 0, 4, 2, 3},
    {3, 0, 4, 2, 4}, {3, 0, 4, 2, 5}, {3, 0, 4, 2, 6}, {3, 0, 4, 4, 1},
    {3, 0, 4, 4, 4}, {3, 0, 4, 4, 5}, {3, 0, 4, 4, 6}, {3, 0, 4, 5, 1},
    {3, 0, 4, 5, 3}, {3, 0, 4, 5, 5}, {3, 0, 4, 5, 6}, {3, 0, 4, 6, 1},
    {3, 0, 4, 6, 3}, {3, 0, 4, 6, 4}, {3, 0, 4, 6, 6}, {3, 0, 5, 2, 2},
    {3, 0, 5, 2, 4}, {3, 0, 5, 2, 5}, {3, 0, 5, 2, 6}, {3, 0, 5, 3, 1},
    {3, 0, 5, 3, 4}, {3, 0, 5, 3, 5}, {3, 0, 5, 3, 6}, {3, 0, 5, 5, 1},
    {3, 0, 5, 5, 2}, {3, 0, 5, 5, 5}, {3, 0, 5, 5, 6}, {3, 0, 5, 6, 1},
    {3, 0, 5, 6, 2}, {3, 0, 5, 6, 4}, {3, 0, 5, 6, 6}, {3, 0, 6, 2, 2},
    {3, 0, 6, 2, 3}, {3, 0, 6, 2, 5}, {3, 0, 6, 2, 6}, {3, 0, 6, 3, 1},
    {3, 0, 6, 3, 3}, {3, 0, 6, 3, 5}, {3, 0, 6, 3, 6}, {3, 0, 6, 4, 1},
    {3, 0, 6, 4, 2}, {3, 0, 6, 4, 5}, {3, 0, 6, 4, 6}, {3, 0, 6, 6, 1},
    {3, 0, 6, 6, 2}, {3, 0, 6, 6, 3}, {3, 0, 6, 6, 6}, {5, 0, 1, 3, 3},
    {5, 0, 1, 3, 4}, {5, 0, 1, 3, 5}, {5, 0, 1, 3, 6}, {5, 0, 1, 4, 2},
    {5, 0, 1, 4, 4}, {5, 0, 1, 4, 5}, {5, 0, 1, 4, 6}, {5, 0, 1, 5, 2},
    {5, 0, 1, 5, 3}, {5, 0, 1, 5, 5}, {5, 0, 1, 5, 6}, {5, 0, 1, 6, 2},
    {5, 0, 1, 6, 3}, {5, 0, 1, 6, 4}, {5, 0, 1, 6, 6}, {5, 0, 4, 0, 3},
    {5, 0, 4, 0, 4}, {5, 0, 4, 0, 5}, {5, 0, 4, 0, 6}, {5, 0, 5, 0, 2},
    {5, 0, 5, 0, 4}, {5, 0, 5, 0, 5}, {5, 0, 5, 0, 6}, {5, 0, 6, 0, 2},
    {5, 0, 6, 0, 3}, {5, 0, 6, 0, 5}, {5, 0, 6, 0, 6}, {6, 0, 1, 2, 3},
    {6, 0, 1, 2, 4}, {6, 0, 1, 2, 5}, {6, 0, 1, 2, 6}, {6, 0, 1, 4, 1},
    {6, 0, 1, 4, 4}, {6, 0, 1, 4, 5}, {6, 0, 1, 4, 6}, {6, 0, 1, 5, 1},
    {6, 0, 1, 5, 3}, {6, 0, 1, 5, 5}, {6, 0, 1, 5, 6}, {6, 0, 1, 6, 1},
    {6, 0, 1, 6, 3}, {6, 0, 1, 6, 4}, {6, 0, 1, 6, 6}, {6, 0, 3, 0, 3},
    {6, 0, 3, 0, 4}, {6, 0, 3, 0, 5}, {6, 0, 3, 0, 6}, {6, 0, 5, 0, 1},
    {6, 0, 5, 0, 4}, {6, 0, 5, 0, 5}, {6, 0, 5, 0, 6}, {6, 0, 6, 0, 1},
    {6, 0, 6, 0, 3}, {6, 0, 6, 0, 5}, {6, 0, 6, 0, 6}, {1, 2, 2, 3, 3},
    {1, 2, 2, 3, 4}, {1, 2, 2, 3, 5}, {1, 2, 2, 3, 6}, {1, 2, 2, 4, 2},
    {1, 2, 2, 4, 4}, {1, 2, 2, 4, 5}, {1, 2, 2, 4, 6}, {1, 2, 2, 5, 2},
    {1, 2, 2, 5, 3}, {1, 2, 2, 5, 5}, {1, 2, 2, 5, 6}, {1, 2, 2, 6, 2},
    {1, 2, 2, 6, 3}, {1, 2, 2, 6, 4}, {1, 2, 2, 6, 6}, {1, 2, 4, 1, 3},
    {1, 2, 4, 1, 4}, {1, 2, 4, 1, 5}, {1, 2, 4, 1, 6}, {1, 2, 4, 4, 0},
    {1, 2, 4, 5, 0}, {1, 2, 4, 6, 0}, {1, 2, 5, 1, 2}, {1, 2, 5, 1, 4},
    {1, 2, 5, 1, 5}, {1, 2, 5, 1, 6}, {1, 2, 5, 3, 0}, {1, 2, 5, 5, 0},
    {1, 2, 5, 6, 0}, {1, 2, 6, 1, 2}, {1, 2, 6, 1, 3}, {1, 2, 6, 1, 5},
    {1, 2, 6, 1, 6}, {1, 2, 6, 3, 0}, {1, 2, 6, 4, 0}, {1, 2, 6, 6, 0},
    {1, 3, 1, 3, 3}, {1, 3, 1, 3, 4}, {1, 3, 1, 3, 5}, {1, 3, 1, 3, 6},
    {1, 3, 1, 4, 2}, {1, 3, 1, 4, 4}, {1, 3, 1, 4, 5}, {1, 3, 1, 4, 6},
    {1, 3, 1, 5, 2}, {1, 3, 1, 5, 3}, {1, 3, 1, 5, 5}, {1, 3, 1, 5, 6},
    {1, 3, 1, 6, 2}, {1, 3, 1, 6, 3}, {1, 3, 1, 6, 4}, {1, 3, 1, 6, 6},
    {1, 3, 4, 0, 3}, {1, 3, 4, 0, 4}, {1, 3, 4, 0, 5}, {1, 3, 4, 0, 6},
    {1, 3, 5, 0, 2}, {1, 3, 5, 0, 4}, {1, 3, 5, 0, 5}, {1, 3, 5, 0, 6},
    {1, 3, 6, 0, 2}, {1, 3, 6, 0, 3}, {1, 3, 6, 0, 5}, {1, 3, 6, 0, 6},
    {1, 5, 1, 1, 3}, {1, 5, 1, 1, 4}, {1, 5, 1, 1, 5}, {1, 5, 1, 1, 6},
    {1, 5, 1, 4, 0}, {1, 5, 1, 5, 0}, {1, 5, 1, 6, 0}, {1, 5, 2, 0, 3},
    {1, 5, 2, 0, 4}, {1, 5, 2, 0, 5}, {1, 5, 2, 0, 6}, {1, 5, 5, 0, 0},
    {1, 5, 6, 0, 0}, {1, 6, 1, 1, 2}, {1, 6, 1, 1, 4}, {1, 6, 1, 1, 5},
    {1, 6, 1, 1, 6}, {1, 6, 1, 3, 0}, {1, 6, 1, 5, 0}, {1, 6, 1, 6, 0},
    {1, 6, 2, 0, 2}, {1, 6, 2, 0, 4}, {1, 6, 2, 0, 5}, {1, 6, 2, 0, 6},
    {1, 6, 4, 0, 0}, {1, 6, 6, 0, 0}, {3, 0, 2, 3, 3}, {3, 0, 2, 3, 4},
    {3, 0, 2, 3, 5}, {3, 0, 2, 3, 6}, {3, 0, 2, 4, 2}, {3, 0, 2, 4, 4},
    {3, 0, 2, 4, 5}, {3, 0, 2, 4, 6}, {3, 0, 2, 5, 2}, {3, 0, 2, 5, 3},
    {3, 0, 2, 5, 5}, {3, 0, 2, 5, 6}, {3, 0, 2, 6, 2}, {3, 0, 2, 6, 3},
    {3, 0, 2, 6, 4}, {3, 0, 2, 6, 6}, {3, 0, 4, 1, 3}, {3, 0, 4, 1, 4},
    {3, 0, 4, 1, 5}, {3, 0, 4, 1, 6}, {3, 0, 4, 4, 0}, {3, 0, 4, 5, 0},
    {3, 0, 4, 6, 0}, {3, 0, 5, 1, 2}, {3, 0, 5, 1, 4}, {3, 0, 5, 1, 5},
    {3, 0, 5, 1, 6}, {3, 0, 5, 3, 0}, {3, 0, 5, 5, 0}, {3, 0, 5, 6, 0},
    {3, 0, 6, 1, 2}, {3, 0, 6, 1, 3}, {3, 0, 6, 1, 5}, {3, 0, 6, 1, 6},
    {3, 0, 6, 3, 0}, {3, 0, 6, 4, 0}, {3, 0, 6, 6, 0}, {4, 0, 1, 3, 3},
    {4, 0, 1, 3, 4}, {4, 0, 1, 3, 5}, {4, 0, 1, 3, 6}, {4, 0, 1, 4, 2},
    {4, 0, 1, 4, 4}, {4, 0, 1, 4, 5}, {4, 0, 1, 4, 6}, {4, 0, 1, 5, 2},
    {4, 0, 1, 5, 3}, {4, 0, 1, 5, 5}, {4, 0, 1, 5, 6}, {4, 0, 1, 6, 2},
    {4, 0, 1, 6, 3}, {4, 0, 1, 6, 4}, {4, 0, 1, 6, 6}, {4, 0, 4, 0, 3},
    {4, 0, 4, 0, 4}, {4, 0, 4, 0, 5}, {4, 0, 4, 0, 6}, {4, 0, 5, 0, 2},
    {4, 0, 5, 0, 4}, {4, 0, 5, 0, 5}, {4, 0, 5, 0, 6}, {4, 0, 6, 0, 2},
    {4, 0, 6, 0, 3}, {4, 0, 6, 0, 5}, {4, 0, 6, 0, 6}, {6, 0, 1, 1, 3},
    {6, 0, 1, 1, 4}, {6, 0, 1, 1, 5}, {6, 0, 1, 1, 6}, {6, 0, 1, 4, 0},
    {6, 0, 1, 5, 0}, {6, 0, 1, 6, 0}, {6, 0, 2, 0, 3}, {6, 0, 2, 0, 4},
    {6, 0, 2, 0, 5}, {6, 0, 2, 0, 6}, {6, 0, 5, 0, 0}, {6, 0, 6, 0, 0},
    {1, 1, 3, 3, 3}, {1, 1, 3, 3, 4}, {1, 1, 3, 3, 5}, {1, 1, 3, 3, 6},
    {1, 1, 3, 4, 2}, {1, 1, 3, 4, 4}, {1, 1, 3, 4, 5}, {1, 1, 3, 4, 6},
    {1, 1, 3, 5, 2}, {1, 1, 3, 5, 3}, {1, 1, 3, 5, 5}, {1, 1, 3, 5, 6},
    {1, 1, 3, 6, 2}, {1, 1, 3, 6, 3}, {1, 1, 3, 6, 4}, {1, 1, 3, 6, 6},
    {1, 1, 4, 2, 3}, {1, 1, 4, 2, 4}, {1, 1, 4, 2, 5}, {1, 1, 4, 2, 6},
    {1, 1, 4, 4, 1}, {1, 1, 4, 4, 4}, {1, 1, 4, 4, 5}, {1, 1, 4, 4, 6},
    {1, 1, 4, 5, 1}, {1, 1, 4, 5, 3}, {1, 1, 4, 5, 5}, {1, 1, 4, 5, 6},
    {1, 1, 4, 6, 1}, {1, 1, 4, 6, 3}, {1, 1, 4, 6, 4}, {1, 1, 4, 6, 6},
    {1, 1, 5, 2, 2}, {1, 1, 5, 2, 4}, {1, 1, 5, 2, 5}, {1, 1, 5, 2, 6},
    {1, 1, 5, 3, 1}, {1, 1, 5, 3, 4}, {1, 1, 5, 3, 5}, {1, 1, 5, 3, 6},
    {1, 1, 5, 5, 1}, {1, 1, 5, 5, 2}, {1, 1, 5, 5, 5}, {1, 1, 5, 5, 6},
    {1, 1, 5, 6, 1}, {1, 1, 5, 6, 2}, {1, 1, 5, 6, 4}, {1, 1, 5, 6, 6},
    {1, 1, 6, 2, 2}, {1, 1, 6, 2, 3}, {1, 1, 6, 2, 5}, {1, 1, 6, 2, 6},
    {1, 1, 6, 3, 1}, {1, 1, 6, 3, 3}, {1, 1, 6, 3, 5}, {1, 1, 6, 3, 6},
    {1, 1, 6, 4, 1}, {1, 1, 6, 4, 2}, {1, 1, 6, 4, 5}, {1, 1, 6, 4, 6},
    {1, 1, 6, 6, 1}, {1, 1, 6, 6, 2}, {1, 1, 6, 6, 3}, {1, 1, 6, 6, 6},
    {1, 4, 0, 3, 3}, {1, 4, 0, 3, 4}, {1, 4, 0, 3, 5}, {1, 4, 0, 3, 6},
    {1, 4, 0, 4, 2}, {1, 4, 0, 4, 4}, {1, 4, 0, 4, 5}, {1, 4, 0, 4, 6},
    {1, 4, 0, 5, 2}, {1, 4, 0, 5, 3}, {1, 4, 0, 5, 5}, {1, 4, 0, 5, 6},
    {1, 4, 0, 6, 2}, {1, 4, 0, 6, 3}, {1, 4, 0, 6, 4}, {1, 4, 0, 6, 6},
    {1, 5, 0, 2, 3}, {1, 5, 0, 2, 4}, {1, 5, 0, 2, 5}, {1, 5, 0, 2, 6},
    {1, 5, 0, 4, 1}, {1, 5, 0, 4, 4}, {1, 5, 0, 4, 5}, {1, 5, 0, 4, 6},
    {1, 5, 0, 5, 1}, {1, 5, 0, 5, 3}, {1, 5, 0, 5, 5}, {1, 5, 0, 5, 6},
    {1, 5, 0, 6, 1}, {1, 5, 0, 6, 3}, {1, 5, 0, 6, 4}, {1, 5, 0, 6, 6},
    {1, 6, 0, 2, 2}, {1, 6, 0, 2, 4}, {1, 6, 0, 2, 5}, {1, 6, 0, 2, 6},
    {1, 6, 0, 3, 1}, {1, 6, 0, 3, 4}, {1, 6, 0, 3, 5}, {1, 6, 0, 3, 6},
    {1, 6, 0, 5, 1}, {1, 6, 0, 5, 2}, {1, 6, 0, 5, 5}, {1, 6, 0, 5, 6},
    {1, 6, 0, 6, 1}, {1, 6, 0, 6, 2}, {1, 6, 0, 6, 4}, {1, 6, 0, 6, 6},
    {2, 0, 3, 3, 3}, {2, 0, 3, 3, 4}, {2, 0, 3, 3, 5}, {2, 0, 3, 3, 6},
    {2, 0, 3, 4, 2}, {2, 0, 3, 4, 4}, {2, 0, 3, 4, 5}, {2, 0, 3, 4, 6},
    {2, 0, 3, 5, 2}, {2, 0, 3, 5, 3}, {2, 0, 3, 5, 5}, {2, 0, 3, 5, 6},
    {2, 0, 3, 6, 2}, {2, 0, 3, 6, 3}, {2, 0, 3, 6, 4}, {2, 0, 3, 6, 6},
    {2, 0, 4, 2, 3}, {2, 0, 4, 2, 4}, {2, 0, 4, 2, 5}, {2, 0, 4, 2, 6},
    {2, 0, 4, 4, 1}, {2, 0, 4, 4, 4}, {2, 0, 4, 4, 5}, {2, 0, 4, 4, 6},
    {2, 0, 4, 5, 1}, {2, 0, 4, 5, 3}, {2, 0, 4, 5, 5}, {2, 0, 4, 5, 6},
    {2, 0, 4, 6, 1}, {2, 0, 4, 6, 3}, {2, 0, 4, 6, 4}, {2, 0, 4, 6, 6},
    {2, 0, 5, 2, 2}, {2, 0, 5, 2, 4}, {2, 0, 5, 2, 5}, {2, 0, 5, 2, 6},
    {2, 0, 5, 3, 1}, {2, 0, 5, 3, 4}, {2, 0, 5, 3, 5}, {2, 0, 5, 3, 6},
    {2, 0, 5, 5, 1}, {2, 0, 5, 5, 2}, {2, 0, 5, 5, 5}, {2, 0, 5, 5, 6},
    {2, 0, 5, 6, 1}, {2, 0, 5, 6, 2}, {2, 0, 5, 6, 4}, {2, 0, 5, 6, 6},
    {2, 0, 6, 2, 2}, {2, 0, 6, 2, 3}, {2, 0, 6, 2, 5}, {2, 0, 6, 2, 6},
    {2, 0, 6, 3, 1}, {2, 0, 6, 3, 3}, {2, 0, 6, 3, 5}, {2, 0, 6, 3, 6},
    {2, 0, 6, 4, 1}, {2, 0, 6, 4, 2}, {2, 0, 6, 4, 5}, {2, 0, 6, 4, 6},
    {2, 0, 6, 6, 1}, {2, 0, 6, 6, 2}, {2, 0, 6, 6, 3}, {2, 0, 6, 6, 6},
    {5, 0, 0, 3, 3}, {5, 0, 0, 3, 4}, {5, 0, 0, 3, 5}, {5, 0, 0, 3, 6},
    {5, 0, 0, 4, 2}, {5, 0, 0, 4, 4}, {5, 0, 0, 4, 5}, {5, 0, 0, 4, 6},
    {5, 0, 0, 5, 2}, {5, 0, 0, 5, 3}, {5, 0, 0, 5, 5}, {5, 0, 0, 5, 6},
    {5, 0, 0, 6, 2}, {5, 0, 0, 6, 3}, {5, 0, 0, 6, 4}, {5, 0, 0, 6, 6},
    {6, 0, 0, 2, 3}, {6, 0, 0, 2, 4}, {6, 0, 0, 2, 5}, {6, 0, 0, 2, 6},
    {6, 0, 0, 4, 1}, {6, 0, 0, 4, 4}, {6, 0, 0, 4, 5}, {6, 0, 0, 4, 6},
    {6, 0, 0, 5, 1}, {6, 0, 0, 5, 3}, {6, 0, 0, 5, 5}, {6, 0, 0, 5, 6},
    {6, 0, 0, 6, 1}, {6, 0, 0, 6, 3}, {6, 0, 0, 6, 4}, {6, 0, 0, 6, 6},
    {1, 1, 2, 3, 3}, {1, 1, 2, 3, 4}, {1, 1, 2, 3, 5}, {1, 1, 2, 3, 6},
    {1, 1, 2, 4, 2}, {1, 1, 2, 4, 4}, {1, 1, 2, 4, 5}, {1, 1, 2, 4, 6},
    {1, 1, 2, 5, 2}, {1, 1, 2, 5, 3}, {1, 1, 2, 5, 5}, {1, 1, 2, 5, 6},
    {1, 1, 2, 6, 2}, {1, 1, 2, 6, 3}, {1, 1, 2, 6, 4}, {1, 1, 2, 6, 6},
    {1, 1, 4, 1, 3}, {1, 1, 4, 1, 4}, {1, 1, 4, 1, 5}, {1, 1, 4, 1, 6},
    {1, 1, 4, 4, 0}, {1, 1, 4, 5, 0}, {1, 1, 4, 6, 0}, {1, 1, 5, 1, 2},
    {1, 1, 5, 1, 4}, {1, 1, 5, 1, 5}, {1, 1, 5, 1, 6}, {1, 1, 5, 3, 0},
    {1, 1, 5, 5, 0}, {1, 1, 5, 6, 0}, {1, 1, 6, 1, 2}, {1, 1, 6, 1, 3},
    {1, 1, 6, 1, 5}, {1, 1, 6, 1, 6}, {1, 1, 6, 3, 0}, {1, 1, 6, 4, 0},
    {1, 1, 6, 6, 0}, {1, 3, 0, 3, 3}, {1, 3, 0, 3, 4}, {1, 3, 0, 3, 5},
    {1, 3, 0, 3, 6}, {1, 3, 0, 4, 2}, {1, 3, 0, 4, 4}, {1, 3, 0, 4, 5},
    {1, 3, 0, 4, 6}, {1, 3, 0, 5, 2}, {1, 3, 0, 5, 3}, {1, 3, 0, 5, 5},
    {1, 3, 0, 5, 6}, {1, 3, 0, 6, 2}, {1, 3, 0, 6, 3}, {1, 3, 0, 6, 4},
    {1, 3, 0, 6, 6}, {1, 5, 0, 1, 3}, {1, 5, 0, 1, 4}, {1, 5, 0, 1, 5},
    {1, 5, 0, 1, 6}, {1, 5, 0, 4, 0}, {1, 5, 0, 5, 0}, {1, 5, 0, 6, 0},
    {1, 6, 0, 1, 2}, {1, 6, 0, 1, 4}, {1, 6, 0, 1, 5}, {1, 6, 0, 1, 6},
    {1, 6, 0, 3, 0}, {1, 6, 0, 5, 0}, {1, 6, 0, 6, 0}, {2, 0, 2, 3, 3},
    {2, 0, 2, 3, 4}, {2, 0, 2, 3, 5}, {2, 0, 2, 3, 6}, {2, 0, 2, 4, 2},
    {2, 0, 2, 4, 4}, {2, 0, 2, 4, 5}, {2, 0, 2, 4, 6}, {2, 0, 2, 5, 2},
    {2, 0, 2, 5, 3}, {2, 0, 2, 5, 5}, {2, 0, 2, 5, 6}, {2, 0, 2, 6, 2},
    {2, 0, 2, 6, 3}, {2, 0, 2, 6, 4}, {2, 0, 2, 6, 6}, {2, 0, 4, 1, 3},
    {2, 0, 4, 1, 4}, {2, 0, 4, 1, 5}, {2, 0, 4, 1, 6}, {2, 0, 4, 4, 0},
    {2, 0, 4, 5, 0}, {2, 0, 4, 6, 0}, {2, 0, 5, 1, 2}, {2, 0, 5, 1, 4},
    {2, 0, 5, 1, 5}, {2, 0, 5, 1, 6}, {2, 0, 5, 3, 0}, {2, 0, 5, 5, 0},
    {2, 0, 5, 6, 0}, {2, 0, 6, 1, 2}, {2, 0, 6, 1, 3}, {2, 0, 6, 1, 5},
    {2, 0, 6, 1, 6}, {2, 0, 6, 3, 0}, {2, 0, 6, 4, 0}, {2, 0, 6, 6, 0},
    {4, 0, 0, 3, 3}, {4, 0, 0, 3, 4}, {4, 0, 0, 3, 5}, {4, 0, 0, 3, 6},
    {4, 0, 0, 4, 2}, {4, 0, 0, 4, 4}, {4, 0, 0, 4, 5}, {4, 0, 0, 4, 6},
    {4, 0, 0, 5, 2}, {4, 0, 0, 5, 3}, {4, 0, 0, 5, 5}, {4, 0, 0, 5, 6},
    {4, 0, 0, 6, 2}, {4, 0, 0, 6, 3}, {4, 0, 0, 6, 4}, {4, 0, 0, 6, 6},
    {6, 0, 0, 1, 3}, {6, 0, 0, 1, 4}, {6, 0, 0, 1, 5}, {6, 0, 0, 1, 6},
    {6, 0, 0, 4, 0}, {6, 0, 0, 5, 0}, {6, 0, 0, 6, 0}, {1, 1, 1, 3, 3},
    {1, 1, 1, 3, 4}, {1, 1, 1, 3, 5}, {1, 1, 1, 3, 6}, {1, 1, 1, 4, 2},
    {1, 1, 1, 4, 4}, {1, 1, 1, 4, 5}, {1, 1, 1, 4, 6}, {1, 1, 1, 5, 2},
    {1, 1, 1, 5, 3}, {1, 1, 1, 5, 5}, {1, 1, 1, 5, 6}, {1, 1, 1, 6, 2},
    {1, 1, 1, 6, 3}, {1, 1, 1, 6, 4}, {1, 1, 1, 6, 6}, {1, 1, 4, 0, 3},
    {1, 1, 4, 0, 4}, {1, 1, 4, 0, 5}, {1, 1, 4, 0, 6}, {1, 1, 5, 0, 2},
    {1, 1, 5, 0, 4}, {1, 1, 5, 0, 5}, {1, 1, 5, 0, 6}, {1, 1, 6, 0, 2},
    {1, 1, 6, 0, 3}, {1, 1, 6, 0, 5}, {1, 1, 6, 0, 6}, {1, 2, 0, 3, 3},
    {1, 2, 0, 3, 4}, {1, 2, 0, 3, 5}, {1, 2, 0, 3, 6}, {1, 2, 0, 4, 2},
    {1, 2, 0, 4, 4}, {1, 2, 0, 4, 5}, {1, 2, 0, 4, 6}, {1, 2, 0, 5, 2},
    {1, 2, 0, 5, 3}, {1, 2, 0, 5, 5}, {1, 2, 0, 5, 6}, {1, 2, 0, 6, 2},
    {1, 2, 0, 6, 3}, {1, 2, 0, 6, 4}, {1, 2, 0, 6, 6}, {1, 5, 0, 0, 3},
    {1, 5, 0, 0, 4}, {1, 5, 0, 0, 5}, {1, 5, 0, 0, 6}, {1, 6, 0, 0, 2},
    {1, 6, 0, 0, 4}, {1, 6, 0, 0, 5}, {1, 6, 0, 0, 6}, {2, 0, 1, 3, 3},
    {2, 0, 1, 3, 4}, {2, 0, 1, 3, 5}, {2, 0, 1, 3, 6}, {2, 0, 1, 4, 2},
    {2, 0, 1, 4, 4}, {2, 0, 1, 4, 5}, {2, 0, 1, 4, 6}, {2, 0, 1, 5, 2},
    {2, 0, 1, 5, 3}, {2, 0, 1, 5, 5}, {2, 0, 1, 5, 6}, {2, 0, 1, 6, 2},
    {2, 0, 1, 6, 3}, {2, 0, 1, 6, 4}, {2, 0, 1, 6, 6}, {2, 0, 4, 0, 3},
    {2, 0, 4, 0, 4}, {2, 0, 4, 0, 5}, {2, 0, 4, 0, 6}, {2, 0, 5, 0, 2},
    {2, 0, 5, 0, 4}, {2, 0, 5, 0, 5}, {2, 0, 5, 0, 6}, {2, 0, 6, 0, 2},
    {2, 0, 6, 0, 3}, {2, 0, 6, 0, 5}, {2, 0, 6, 0, 6}, {3, 0, 0, 3, 3},
    {3, 0, 0, 3, 4}, {3, 0, 0, 3, 5}, {3, 0, 0, 3, 6}, {3, 0, 0, 4, 2},
    {3, 0, 0, 4, 4}, {3, 0, 0, 4, 5}, {3, 0, 0, 4, 6}, {3, 0, 0, 5, 2},
    {3, 0, 0, 5, 3}, {3, 0, 0, 5, 5}, {3, 0, 0, 5, 6}, {3, 0, 0, 6, 2},
    {3, 0, 0, 6, 3}, {3, 0, 0, 6, 4}, {3, 0, 0, 6, 6}, {6, 0, 0, 0, 3},
    {6, 0, 0, 0, 4}, {6, 0, 0, 0, 5}, {6, 0, 0, 0, 6}, {0, 3, 3, 3, 3},
    {0, 3, 3, 3, 4}, {0, 3, 3, 3, 5}, {0, 3, 3, 3, 6}, {0, 3, 3, 4, 2},
    {0, 3, 3, 4, 4}, {0, 3, 3, 4, 5}, {0, 3, 3, 4, 6}, {0, 3, 3, 5, 2},
    {0, 3, 3, 5, 3}, {0, 3, 3, 5, 5}, {0, 3, 3, 5, 6}, {0, 3, 3, 6, 2},
    {0, 3, 3, 6, 3}, {0, 3, 3, 6, 4}, {0, 3, 3, 6, 6}, {0, 3, 4, 2, 3},
    {0, 3, 4, 2, 4}, {0, 3, 4, 2, 5}, {0, 3, 4, 2, 6}, {0, 3, 4, 4, 1},
    {0, 3, 4, 4, 4}, {0, 3, 4, 4, 5}, {0, 3, 4, 4, 6}, {0, 3, 4, 5, 1},
    {0, 3, 4, 5, 3}, {0, 3, 4, 5, 5}, {0, 3, 4, 5, 6}, {0, 3, 4, 6, 1},
    {0, 3, 4, 6, 3}, {0, 3, 4, 6, 4}, {0, 3, 4, 6, 6}, {0, 3, 5, 2, 2},
    {0, 3, 5, 2, 4}, {0, 3, 5, 2, 5}, {0, 3, 5, 2, 6}, {0, 3, 5, 3, 1},
    {0, 3, 5, 3, 4}, {0, 3, 5, 3, 5}, {0, 3, 5, 3, 6}, {0, 3, 5, 5, 1},
    {0, 3, 5, 5, 2}, {0, 3, 5, 5, 5}, {0, 3, 5, 5, 6}, {0, 3, 5, 6, 1},
    {0, 3, 5, 6, 2}, {0, 3, 5, 6, 4}, {0, 3, 5, 6, 6}, {0, 3, 6, 2, 2},
    {0, 3, 6, 2, 3}, {0, 3, 6, 2, 5}, {0, 3, 6, 2, 6}, {0, 3, 6, 3, 1},
    {0, 3, 6, 3, 3}, {0, 3, 6, 3, 5}, {0, 3, 6, 3, 6}, {0, 3, 6, 4, 1},
    {0, 3, 6, 4, 2}, {0, 3, 6, 4, 5}, {0, 3, 6, 4, 6}, {0, 3, 6, 6, 1},
    {0, 3, 6, 6, 2}, {0, 3, 6, 6, 3}, {0, 3, 6, 6, 6}, {0, 4, 2, 3, 3},
    {0, 4, 2, 3, 4}, {0, 4, 2, 3, 5}, {0, 4, 2, 3, 6}, {0, 4, 2, 4, 2},
    {0, 4, 2, 4, 4}, {0, 4, 2, 4, 5}, {0, 4, 2, 4, 6}, {0, 4, 2, 5, 2},
    {0, 4, 2, 5, 3}, {0, 4, 2, 5, 5}, {0, 4, 2, 5, 6}, {0, 4, 2, 6, 2},
    {0, 4, 2, 6, 3}, {0, 4, 2, 6, 4}, {0, 4, 2, 6, 6}, {0, 4, 4, 1, 3},
    {0, 4, 4, 1, 4}, {0, 4, 4, 1, 5}, {0, 4, 4, 1, 6}, {0, 4, 4, 4, 0},
    {0, 4, 4, 5, 0}, {0, 4, 4, 6, 0}, {0, 4, 5, 1, 2}, {0, 4, 5, 1, 4},
    {0, 4, 5, 1, 5}, {0, 4, 5, 1, 6}, {0, 4, 5, 3, 0}, {0, 4, 5, 5, 0},
    {0, 4, 5, 6, 0}, {0, 4, 6, 1, 2}, {0, 4, 6, 1, 3}, {0, 4, 6, 1, 5},
    {0, 4, 6, 1, 6}, {0, 4, 6, 3, 0}, {0, 4, 6, 4, 0}, {0, 4, 6, 6, 0},
    {0, 5, 2, 2, 3}, {0, 5, 2, 2, 4}, {0, 5, 2, 2, 5}, {0, 5, 2, 2, 6},
    {0, 5, 2, 4, 1}, {0, 5, 2, 4, 4}, {0, 5, 2, 4, 5}, {0, 5, 2, 4, 6},
    {0, 5, 2, 5, 1}, {0, 5, 2, 5, 3}, {0, 5, 2, 5, 5}, {0, 5, 2, 5, 6},
    {0, 5, 2, 6, 1}, {0, 5, 2, 6, 3}, {0, 5, 2, 6, 4}, {0, 5, 2, 6, 6},
    {0, 5, 3, 1, 3}, {0, 5, 3, 1, 4}, {0, 5, 3, 1, 5}, {0, 5, 3, 1, 6},
    {0, 5, 3, 4, 0}, {0, 5, 3, 5, 0}, {0, 5, 3, 6, 0}, {0, 5, 5, 1, 1},
    {0, 5, 5, 1, 4}, {0, 5, 5, 1, 5}, {0, 5, 5, 1, 6}, {0, 5, 5, 2, 0},
    {0, 5, 5, 5, 0}, {0, 5, 5, 6, 0}, {0, 5, 6, 1, 1}, {0, 5, 6, 1, 3},
    {0, 5, 6, 1, 5}, {0, 5, 6, 1, 6}, {0, 5, 6, 2, 0}, {0, 5, 6, 4, 0},
    {0, 5, 6, 6, 0}, {0, 6, 2, 2, 2}, {0, 6, 2, 2, 4}, {0, 6, 2, 2, 5},
    {0, 6, 2, 2, 6}, {0, 6, 2, 3, 1}, {0, 6, 2, 3, 4}, {0, 6, 2, 3, 5},
    {0, 6, 2, 3, 6}, {0, 6, 2, 5, 1}, {0, 6, 2, 5, 2}, {0, 6, 2, 5, 5},
    {0, 6, 2, 5, 6}, {0, 6, 2, 6, 1}, {0, 6, 2, 6, 2}, {0, 6, 2, 6, 4},
    {0, 6, 2, 6, 6}, {0, 6, 3, 1, 2}, {0, 6, 3, 1, 4}, {0, 6, 3, 1, 5},
    {0, 6, 3, 1, 6}, {0, 6, 3, 3, 0}, {0, 6, 3, 5, 0}, {0, 6, 3, 6, 0},
    {0, 6, 4, 1, 1}, {0, 6, 4, 1, 4}, {0, 6, 4, 1, 5}, {0, 6, 4, 1, 6},
    {0, 6, 4, 2, 0}, {0, 6, 4, 5, 0}, {0, 6, 4, 6, 0}, {0, 6, 6, 1, 1},
    {0, 6, 6, 1, 2}, {0, 6, 6, 1, 5}, {0, 6, 6, 1, 6}, {0, 6, 6, 2, 0},
    {0, 6, 6, 3, 0}, {0, 6, 6, 6, 0}, {0, 2, 3, 3, 3}, {0, 2, 3, 3, 4},
    {0, 2, 3, 3, 5}, {0, 2, 3, 3, 6}, {0, 2, 3, 4, 2}, {0, 2, 3, 4, 4},
    {0, 2, 3, 4, 5}, {0, 2, 3, 4, 6}, {0, 2, 3, 5, 2}, {0, 2, 3, 5, 3},
    {0, 2, 3, 5, 5}, {0, 2, 3, 5, 6}, {0, 2, 3, 6, 2}, {0, 2, 3, 6, 3},
    {0, 2, 3, 6, 4}, {0, 2, 3, 6, 6}, {0, 2, 4, 2, 3}, {0, 2, 4, 2, 4},
    {0, 2, 4, 2, 5}, {0, 2, 4, 2, 6}, {0, 2, 4, 4, 1}, {0, 2, 4, 4, 4},
    {0, 2, 4, 4, 5}, {0, 2, 4, 4, 6}, {0, 2, 4, 5, 1}, {0, 2, 4, 5, 3},
    {0, 2, 4, 5, 5}, {0, 2, 4, 5, 6}, {0, 2, 4, 6, 1}, {0, 2, 4, 6, 3},
    {0, 2, 4, 6, 4}, {0, 2, 4, 6, 6}, {0, 2, 5, 2, 2}, {0, 2, 5, 2, 4},
    {0, 2, 5, 2, 5}, {0, 2, 5, 2, 6}, {0, 2, 5, 3, 1}, {0, 2, 5, 3, 4},
    {0, 2, 5, 3, 5}, {0, 2, 5, 3, 6}, {0, 2, 5, 5, 1}, {0, 2, 5, 5, 2},
    {0, 2, 5, 5, 5}, {0, 2, 5, 5, 6}, {0, 2, 5, 6, 1}, {0, 2, 5, 6, 2},
    {0, 2, 5, 6, 4}, {0, 2, 5, 6, 6}, {0, 2, 6, 2, 2}, {0, 2, 6, 2, 3},
    {0, 2, 6, 2, 5}, {0, 2, 6, 2, 6}, {0, 2, 6, 3, 1}, {0, 2, 6, 3, 3},
    {0, 2, 6, 3, 5}, {0, 2, 6, 3, 6}, {0, 2, 6, 4, 1}, {0, 2, 6, 4, 2},
    {0, 2, 6, 4, 5}, {0, 2, 6, 4, 6}, {0, 2, 6, 6, 1}, {0, 2, 6, 6, 2},
    {0, 2, 6, 6, 3}, {0, 2, 6, 6, 6}, {0, 4, 1, 3, 3}, {0, 4, 1, 3, 4},
    {0, 4, 1, 3, 5}, {0, 4, 1, 3, 6}, {0, 4, 1, 4, 2}, {0, 4, 1, 4, 4},
    {0, 4, 1, 4, 5}, {0, 4, 1, 4, 6}, {0, 4, 1, 5, 2}, {0, 4, 1, 5, 3},
    {0, 4, 1, 5, 5}, {0, 4, 1, 5, 6}, {0, 4, 1, 6, 2}, {0, 4, 1, 6, 3},
    {0, 4, 1, 6, 4}, {0, 4, 1, 6, 6}, {0, 4, 4, 0, 3}, {0, 4, 4, 0, 4},
    {0, 4, 4, 0, 5}, {0, 4, 4, 0, 6}, {0, 4, 5, 0, 2}, {0, 4, 5, 0, 4},
    {0, 4, 5, 0, 5}, {0, 4, 5, 0, 6}, {0, 4, 6, 0, 2}, {0, 4, 6, 0, 3},
    {0, 4, 6, 0, 5}, {0, 4, 6, 0, 6}, {0, 5, 1, 2, 3}, {0, 5, 1, 2, 4},
    {0, 5, 1, 2, 5}, {0, 5, 1, 2, 6}, {0, 5, 1, 4, 1}, {0, 5, 1, 4, 4},
    {0, 5, 1, 4, 5}, {0, 5, 1, 4, 6}, {0, 5, 1, 5, 1}, {0, 5, 1, 5, 3},
    {0, 5, 1, 5, 5}, {0, 5, 1, 5, 6}, {0, 5, 1, 6, 1}, {0, 5, 1, 6, 3},
    {0, 5, 1, 6, 4}, {0, 5, 1, 6, 6}, {0, 5, 3, 0, 3}, {0, 5, 3, 0, 4},
    {0, 5, 3, 0, 5}, {0, 5, 3, 0, 6}, {0, 5, 5, 0, 1}, {0, 5, 5, 0, 4},
    {0, 5, 5, 0, 5}, {0, 5, 5, 0, 6}, {0, 5, 6, 0, 1}, {0, 5, 6, 0, 3},
    {0, 5, 6, 0, 5}, {0, 5, 6, 0, 6}, {0, 6, 1, 2, 2}, {0, 6, 1, 2, 4},
    {0, 6, 1, 2, 5}, {0, 6, 1, 2, 6}, {0, 6, 1, 3, 1}, {0, 6, 1, 3, 4},
    {0, 6, 1, 3, 5}, {0, 6, 1, 3, 6}, {0, 6, 1, 5, 1}, {0, 6, 1, 5, 2},
    {0, 6, 1, 5, 5}, {0, 6, 1, 5, 6}, {0, 6, 1, 6, 1}, {0, 6, 1, 6, 2},
    {0, 6, 1, 6, 4}, {0, 6, 1, 6, 6}, {0, 6, 3, 0, 2}, {0, 6, 3, 0, 4},
    {0, 6, 3, 0, 5}, {0, 6, 3, 0, 6}, {0, 6, 4, 0, 1}, {0, 6, 4, 0, 4},
    {0, 6, 4, 0, 5}, {0, 6, 4, 0, 6}, {0, 6, 6, 0, 1}, {0, 6, 6, 0, 2},
    {0, 6, 6, 0, 5}, {0, 6, 6, 0, 6}, {0, 2, 2, 3, 3}, {0, 2, 2, 3, 4},
    {0, 2, 2, 3, 5}, {0, 2, 2, 3, 6}, {0, 2, 2, 4, 2}, {0, 2, 2, 4, 4},
    {0, 2, 2, 4, 5}, {0, 2, 2, 4, 6}, {0, 2, 2, 5, 2}, {0, 2, 2, 5, 3},
    {0, 2, 2, 5, 5}, {0, 2, 2, 5, 6}, {0, 2, 2, 6, 2}, {0, 2, 2, 6, 3},
    {0, 2, 2, 6, 4}, {0, 2, 2, 6, 6}, {0, 2, 4, 1, 3}, {0, 2, 4, 1, 4},
    {0, 2, 4, 1, 5}, {0, 2, 4, 1, 6}, {0, 2, 4, 4, 0}, {0, 2, 4, 5, 0},
    {0, 2, 4, 6, 0}, {0, 2, 5, 1, 2}, {0, 2, 5, 1, 4}, {0, 2, 5, 1, 5},
    {0, 2, 5, 1, 6}, {0, 2, 5, 3, 0}, {0, 2, 5, 5, 0}, {0, 2, 5, 6, 0},
    {0, 2, 6, 1, 2}, {0, 2, 6, 1, 3}, {0, 2, 6, 1, 5}, {0, 2, 6, 1, 6},
    {0, 2, 6, 3, 0}, {0, 2, 6, 4, 0}, {0, 2, 6, 6, 0}, {0, 3, 1, 3, 3},
    {0, 3, 1, 3, 4}, {0, 3, 1, 3, 5}, {0, 3, 1, 3, 6}, {0, 3, 1, 4, 2},
    {0, 3, 1, 4, 4}, {0, 3, 1, 4, 5}, {0, 3, 1, 4, 6}, {0, 3, 1, 5, 2},
    {0, 3, 1, 5, 3}, {0, 3, 1, 5, 5}, {0, 3, 1, 5, 6}, {0, 3, 1, 6, 2},
    {0, 3, 1, 6, 3}, {0, 3, 1, 6, 4}, {0, 3, 1, 6, 6}, {0, 3, 4, 0, 3},
    {0, 3, 4, 0, 4}, {0, 3, 4, 0, 5}, {0, 3, 4, 0, 6}, {0, 3, 5, 0, 2},
    {0, 3, 5, 0, 4}, {0, 3, 5, 0, 5}, {0, 3, 5, 0, 6}, {0, 3, 6, 0, 2},
    {0, 3, 6, 0, 3}, {0, 3, 6, 0, 5}, {0, 3, 6, 0, 6}, {0, 5, 1, 1, 3},
    {0, 5, 1, 1, 4}, {0, 5, 1, 1, 5}, {0, 5, 1, 1, 6}, {0, 5, 1, 4, 0},
    {0, 5, 1, 5, 0}, {0, 5, 1, 6, 0}, {0, 5, 2, 0, 3}, {0, 5, 2, 0, 4},
    {0, 5, 2, 0, 5}, {0, 5, 2, 0, 6}, {0, 5, 5, 0, 0}, {0, 5, 6, 0, 0},
    {0, 6, 1, 1, 2}, {0, 6, 1, 1, 4}, {0, 6, 1, 1, 5}, {0, 6, 1, 1, 6},
    {0, 6, 1, 3, 0}, {0, 6, 1, 5, 0}, {0, 6, 1, 6, 0}, {0, 6, 2, 0, 2},
    {0, 6, 2, 0, 4}, {0, 6, 2, 0, 5}, {0, 6, 2, 0, 6}, {0, 6, 4, 0, 0},
    {0, 6, 6, 0, 0}, {0, 1, 3, 3, 3}, {0, 1, 3, 3, 4}, {0, 1, 3, 3, 5},
    {0, 1, 3, 3, 6}, {0, 1, 3, 4, 2}, {0, 1, 3, 4, 4}, {0, 1, 3, 4, 5},
    {0, 1, 3, 4, 6}, {0, 1, 3, 5, 2}, {0, 1, 3, 5, 3}, {0, 1, 3, 5, 5},
    {0, 1, 3, 5, 6}, {0, 1, 3, 6, 2}, {0, 1, 3, 6, 3}, {0, 1, 3, 6, 4},
    {0, 1, 3, 6, 6}, {0, 1, 4, 2, 3}, {0, 1, 4, 2, 4}, {0, 1, 4, 2, 5},
    {0, 1, 4, 2, 6}, {0, 1, 4, 4, 1}, {0, 1, 4, 4, 4}, {0, 1, 4, 4, 5},
    {0, 1, 4, 4, 6}, {0, 1, 4, 5, 1}, {0, 1, 4, 5, 3}, {0, 1, 4, 5, 5},
    {0, 1, 4, 5, 6}, {0, 1, 4, 6, 1}, {0, 1, 4, 6, 3}, {0, 1, 4, 6, 4},
    {0, 1, 4, 6, 6}, {0, 1, 5, 2, 2}, {0, 1, 5, 2, 4}, {0, 1, 5, 2, 5},
    {0, 1, 5, 2, 6}, {0, 1, 5, 3, 1}, {0, 1, 5, 3, 4}, {0, 1, 5, 3, 5},
    {0, 1, 5, 3, 6}, {0, 1, 5, 5, 1}, {0, 1, 5, 5, 2}, {0, 1, 5, 5, 5},
    {0, 1, 5, 5, 6}, {0, 1, 5, 6, 1}, {0, 1, 5, 6, 2}, {0, 1, 5, 6, 4},
    {0, 1, 5, 6, 6}, {0, 1, 6, 2, 2}, {0, 1, 6, 2, 3}, {0, 1, 6, 2, 5},
    {0, 1, 6, 2, 6}, {0, 1, 6, 3, 1}, {0, 1, 6, 3, 3}, {0, 1, 6, 3, 5},
    {0, 1, 6, 3, 6}, {0, 1, 6, 4, 1}, {0, 1, 6, 4, 2}, {0, 1, 6, 4, 5},
    {0, 1, 6, 4, 6}, {0, 1, 6, 6, 1}, {0, 1, 6, 6, 2}, {0, 1, 6, 6, 3},
    {0, 1, 6, 6, 6}, {0, 4, 0, 3, 3}, {0, 4, 0, 3, 4}, {0, 4, 0, 3, 5},
    {0, 4, 0, 3, 6}, {0, 4, 0, 4, 2}, {0, 4, 0, 4, 4}, {0, 4, 0, 4, 5},
    {0, 4, 0, 4, 6}, {0, 4, 0, 5, 2}, {0, 4, 0, 5, 3}, {0, 4, 0, 5, 5},
    {0, 4, 0, 5, 6}, {0, 4, 0, 6, 2}, {0, 4, 0, 6, 3}, {0, 4, 0, 6, 4},
    {0, 4, 0, 6, 6}, {0, 5, 0, 2, 3}, {0, 5, 0, 2, 4}, {0, 5, 0, 2, 5},
    {0, 5, 0, 2, 6}, {0, 5, 0, 4, 1}, {0, 5, 0, 4, 4}, {0, 5, 0, 4, 5},
    {0, 5, 0, 4, 6}, {0, 5, 0, 5, 1}, {0, 5, 0, 5, 3}, {0, 5, 0, 5, 5},
    {0, 5, 0, 5, 6}, {0, 5, 0, 6, 1}, {0, 5, 0, 6, 3}, {0, 5, 0, 6, 4},
    {0, 5, 0, 6, 6}, {0, 6, 0, 2, 2}, {0, 6, 0, 2, 4}, {0, 6, 0, 2, 5},
    {0, 6, 0, 2, 6}, {0, 6, 0, 3, 1}, {0, 6, 0, 3, 4}, {0, 6, 0, 3, 5},
    {0, 6, 0, 3, 6}, {0, 6, 0, 5, 1}, {0, 6, 0, 5, 2}, {0, 6, 0, 5, 5},
    {0, 6, 0, 5, 6}, {0, 6, 0, 6, 1}, {0, 6, 0, 6, 2}, {0, 6, 0, 6, 4},
    {0, 6, 0, 6, 6}, {0, 1, 2, 3, 3}, {0, 1, 2, 3, 4}, {0, 1, 2, 3, 5},
    {0, 1, 2, 3, 6}, {0, 1, 2, 4, 2}, {0, 1, 2, 4, 4}, {0, 1, 2, 4, 5},
    {0, 1, 2, 4, 6}, {0, 1, 2, 5, 2}, {0, 1, 2, 5, 3}, {0, 1, 2, 5, 5},
    {0, 1, 2, 5, 6}, {0, 1, 2, 6, 2}, {0, 1, 2, 6, 3}, {0, 1, 2, 6, 4},
    {0, 1, 2, 6, 6}, {0, 1, 4, 1, 3}, {0, 1, 4, 1, 4}, {0, 1, 4, 1, 5},
    {0, 1, 4, 1, 6}, {0, 1, 4, 4, 0}, {0, 1, 4, 5, 0}, {0, 1, 4, 6, 0},
    {0, 1, 5, 1, 2}, {0, 1, 5, 1, 4}, {0, 1, 5, 1, 5}, {0, 1, 5, 1, 6},
    {0, 1, 5, 3, 0}, {0, 1, 5, 5, 0}, {0, 1, 5, 6, 0}, {0, 1, 6, 1, 2},
    {0, 1, 6, 1, 3}, {0, 1, 6, 1, 5}, {0, 1, 6, 1, 6}, {0, 1, 6, 3, 0},
    {0, 1, 6, 4, 0}, {0, 1, 6, 6, 0}, {0, 3, 0, 3, 3}, {0, 3, 0, 3, 4},
    {0, 3, 0, 3, 5}, {0, 3, 0, 3, 6}, {0, 3, 0, 4, 2}, {0, 3, 0, 4, 4},
    {0, 3, 0, 4, 5}, {0, 3, 0, 4, 6}, {0, 3, 0, 5, 2}, {0, 3, 0, 5, 3},
    {0, 3, 0, 5, 5}, {0, 3, 0, 5, 6}, {0, 3, 0, 6, 2}, {0, 3, 0, 6, 3},
    {0, 3, 0, 6, 4}, {0, 3, 0, 6, 6}, {0, 5, 0, 1, 3}, {0, 5, 0, 1, 4},
    {0, 5, 0, 1, 5}, {0, 5, 0, 1, 6}, {0, 5, 0, 4, 0}, {0, 5, 0, 5, 0},
    {0, 5, 0, 6, 0}, {0, 6, 0, 1, 2}, {0, 6, 0, 1, 4}, {0, 6, 0, 1, 5},
    {0, 6, 0, 1, 6}, {0, 6, 0, 3, 0}, {0, 6, 0, 5, 0}, {0, 6, 0, 6, 0},
    {0, 1, 1, 3, 3}, {0, 1, 1, 3, 4}, {0, 1, 1, 3, 5}, {0, 1, 1, 3, 6},
    {0, 1, 1, 4, 2}, {0, 1, 1, 4, 4}, {0, 1, 1, 4, 5}, {0, 1, 1, 4, 6},
    {0, 1, 1, 5, 2}, {0, 1, 1, 5, 3}, {0, 1, 1, 5, 5}, {0, 1, 1, 5, 6},
    {0, 1, 1, 6, 2}, {0, 1, 1, 6, 3}, {0, 1, 1, 6, 4}, {0, 1, 1, 6, 6},
    {0, 1, 4, 0, 3}, {0, 1, 4, 0, 4}, {0, 1, 4, 0, 5}, {0, 1, 4, 0, 6},
    {0, 1, 5, 0, 2}, {0, 1, 5, 0, 4}, {0, 1, 5, 0, 5}, {0, 1, 5, 0, 6},
    {0, 1, 6, 0, 2}, {0, 1, 6, 0, 3}, {0, 1, 6, 0, 5}, {0, 1, 6, 0, 6},
    {0, 2, 0, 3, 3}, {0, 2, 0, 3, 4}, {0, 2, 0, 3, 5}, {0, 2, 0, 3, 6},
    {0, 2, 0, 4, 2}, {0, 2, 0, 4, 4}, {0, 2, 0, 4, 5}, {0, 2, 0, 4, 6},
    {0, 2, 0, 5, 2}, {0, 2, 0, 5, 3}, {0, 2, 0, 5, 5}, {0, 2, 0, 5, 6},
    {0, 2, 0, 6, 2}, {0, 2, 0, 6, 3}, {0, 2, 0, 6, 4}, {0, 2, 0, 6, 6},
    {0, 5, 0, 0, 3}, {0, 5, 0, 0, 4}, {0, 5, 0, 0, 5}, {0, 5, 0, 0, 6},
    {0, 6, 0, 0, 2}, {0, 6, 0, 0, 4}, {0, 6, 0, 0, 5}, {0, 6, 0, 0, 6},
    {0, 0, 3, 3, 3}, {0, 0, 3, 3, 4}, {0, 0, 3, 3, 5}, {0, 0, 3, 3, 6},
    {0, 0, 3, 4, 2}, {0, 0, 3, 4, 4}, {0, 0, 3, 4, 5}, {0, 0, 3, 4, 6},
    {0, 0, 3, 5, 2}, {0, 0, 3, 5, 3}, {0, 0, 3, 5, 5}, {0, 0, 3, 5, 6},
    {0, 0, 3, 6, 2}, {0, 0, 3, 6, 3}, {0, 0, 3, 6, 4}, {0, 0, 3, 6, 6},
    {0, 0, 4, 2, 3}, {0, 0, 4, 2, 4}, {0, 0, 4, 2, 5}, {0, 0, 4, 2, 6},
    {0, 0, 4, 4, 1}, {0, 0, 4, 4, 4}, {0, 0, 4, 4, 5}, {0, 0, 4, 4, 6},
    {0, 0, 4, 5, 1}, {0, 0, 4, 5, 3}, {0, 0, 4, 5, 5}, {0, 0, 4, 5, 6},
    {0, 0, 4, 6, 1}, {0, 0, 4, 6, 3}, {0, 0, 4, 6, 4}, {0, 0, 4, 6, 6},
    {0, 0, 5, 2, 2}, {0, 0, 5, 2, 4}, {0, 0, 5, 2, 5}, {0, 0, 5, 2, 6},
    {0, 0, 5, 3, 1}, {0, 0, 5, 3, 4}, {0, 0, 5, 3, 5}, {0, 0, 5, 3, 6},
    {0, 0, 5, 5, 1}, {0, 0, 5, 5, 2}, {0, 0, 5, 5, 5}, {0, 0, 5, 5, 6},
    {0, 0, 5, 6, 1}, {0, 0, 5, 6, 2}, {0, 0, 5, 6, 4}, {0, 0, 5, 6, 6},
    {0, 0, 6, 2, 2}, {0, 0, 6, 2, 3}, {0, 0, 6, 2, 5}, {0, 0, 6, 2, 6},
    {0, 0, 6, 3, 1}, {0, 0, 6, 3, 3}, {0, 0, 6, 3, 5}, {0, 0, 6, 3, 6},
    {0, 0, 6, 4, 1}, {0, 0, 6, 4, 2}, {0, 0, 6, 4, 5}, {0, 0, 6, 4, 6},
    {0, 0, 6, 6, 1}, {0, 0, 6, 6, 2}, {0, 0, 6, 6, 3}, {0, 0, 6, 6, 6},
    {0, 0, 2, 3, 3}, {0, 0, 2, 3, 4}, {0, 0, 2, 3, 5}, {0, 0, 2, 3, 6},
    {0, 0, 2, 4, 2}, {0, 0, 2, 4, 4}, {0, 0, 2, 4, 5}, {0, 0, 2, 4, 6},
    {0, 0, 2, 5, 2}, {0, 0, 2, 5, 3}, {0, 0, 2, 5, 5}, {0, 0, 2, 5, 6},
    {0, 0, 2, 6, 2}, {0, 0, 2, 6, 3}, {0, 0, 2, 6, 4}, {0, 0, 2, 6, 6},
    {0, 0, 4, 1, 3}, {0, 0, 4, 1, 4}, {0, 0, 4, 1, 5}, {0, 0, 4, 1, 6},
    {0, 0, 4, 4, 0}, {0, 0, 4, 5, 0}, {0, 0, 4, 6, 0}, {0, 0, 5, 1, 2},
    {0, 0, 5, 1, 4}, {0, 0, 5, 1, 5}, {0, 0, 5, 1, 6}, {0, 0, 5, 3, 0},
    {0, 0, 5, 5, 0}, {0, 0, 5, 6, 0}, {0, 0, 6, 1, 2}, {0, 0, 6, 1, 3},
    {0, 0, 6, 1, 5}, {0, 0, 6, 1, 6}, {0, 0, 6, 3, 0}, {0, 0, 6, 4, 0},
    {0, 0, 6, 6, 0}, {0, 0, 1, 3, 3}, {0, 0, 1, 3, 4}, {0, 0, 1, 3, 5},
    {0, 0, 1, 3, 6}, {0, 0, 1, 4, 2}, {0, 0, 1, 4, 4}, {0, 0, 1, 4, 5},
    {0, 0, 1, 4, 6}, {0, 0, 1, 5, 2}, {0, 0, 1, 5, 3}, {0, 0, 1, 5, 5},
    {0, 0, 1, 5, 6}, {0, 0, 1, 6, 2}, {0, 0, 1, 6, 3}, {0, 0, 1, 6, 4},
    {0, 0, 1, 6, 6}, {0, 0, 4, 0, 3}, {0, 0, 4, 0, 4}, {0, 0, 4, 0, 5},
    {0, 0, 4, 0, 6}, {0, 0, 5, 0, 2}, {0, 0, 5, 0, 4}, {0, 0, 5, 0, 5},
    {0, 0, 5, 0, 6}, {0, 0, 6, 0, 2}, {0, 0, 6, 0, 3}, {0, 0, 6, 0, 5},
    {0, 0, 6, 0, 6}, {0, 0, 0, 3, 3}, {0, 0, 0, 3, 4}, {0, 0, 0, 3, 5},
    {0, 0, 0, 3, 6}, {0, 0, 0, 4, 2}, {0, 0, 0, 4, 4}, {0, 0, 0, 4, 5},
    {0, 0, 0, 4, 6}, {0, 0, 0, 5, 2}, {0, 0, 0, 5, 3}, {0, 0, 0, 5, 5},
    {0, 0, 0, 5, 6}, {0, 0, 0, 6, 2}, {0, 0, 0, 6, 3}, {0, 0, 0, 6, 4},
    {0, 0, 0, 6, 6}};

static const int rinit[507] = {
    1,    5,    17,   21,   33,   37,   65,   69,   81,   85,   88,   92,
    102,  106,  118,  122,  125,  129,  139,  143,  155,  159,  162,  166,
    176,  180,  192,  196,  208,  212,  240,  244,  256,  260,  268,  272,
    284,  288,  296,  300,  312,  316,  324,  328,  340,  344,  347,  351,
    361,  365,  377,  381,  389,  393,  396,  400,  402,  406,  409,  413,
    415,  419,  431,  435,  438,  442,  452,  456,  468,  472,  480,  484,
    487,  491,  493,  497,  500,  504,  506,  510,  522,  526,  538,  542,
    570,  574,  586,  590,  593,  597,  607,  611,  623,  627,  630,  634,
    644,  648,  660,  664,  667,  671,  681,  685,  697,  701,  713,  717,
    745,  749,  761,  765,  777,  781,  793,  797,  809,  813,  816,  820,
    830,  834,  846,  850,  853,  857,  860,  864,  876,  880,  883,  887,
    897,  901,  913,  917,  920,  924,  927,  931,  943,  947,  959,  963,
    991,  995,  1007, 1011, 1019, 1023, 1035, 1039, 1047, 1051, 1063, 1067,
    1075, 1079, 1091, 1095, 1107, 1111, 1139, 1143, 1155, 1159, 1171, 1175,
    1187, 1191, 1203, 1207, 1215, 1219, 1231, 1235, 1239, 1243, 1255, 1259,
    1267, 1271, 1283, 1287, 1291, 1295, 1307, 1311, 1314, 1318, 1328, 1332,
    1344, 1348, 1356, 1360, 1363, 1367, 1369, 1373, 1376, 1380, 1382, 1386,
    1398, 1402, 1405, 1409, 1419, 1423, 1435, 1439, 1442, 1446, 1449, 1453,
    1465, 1469, 1477, 1481, 1493, 1497, 1501, 1505, 1508, 1512, 1514, 1518,
    1521, 1525, 1526, 1530, 1542, 1546, 1558, 1562, 1590, 1594, 1606, 1610,
    1613, 1617, 1627, 1631, 1643, 1647, 1650, 1654, 1664, 1668, 1680, 1684,
    1687, 1691, 1701, 1705, 1717, 1721, 1733, 1737, 1765, 1769, 1781, 1785,
    1788, 1792, 1802, 1806, 1818, 1822, 1825, 1829, 1839, 1843, 1855, 1859,
    1871, 1875, 1903, 1907, 1919, 1923, 1931, 1935, 1947, 1951, 1959, 1963,
    1975, 1979, 1987, 1991, 2003, 2007, 2019, 2023, 2051, 2055, 2067, 2071,
    2079, 2083, 2095, 2099, 2107, 2111, 2123, 2127, 2130, 2134, 2144, 2148,
    2160, 2164, 2172, 2176, 2179, 2183, 2185, 2189, 2192, 2196, 2198, 2202,
    2214, 2218, 2221, 2225, 2235, 2239, 2251, 2255, 2263, 2267, 2270, 2274,
    2276, 2280, 2292, 2296, 2308, 2312, 2340, 2344, 2356, 2360, 2372, 2376,
    2388, 2392, 2404, 2408, 2420, 2424, 2452, 2456, 2468, 2472, 2484, 2488,
    2500, 2504, 2507, 2511, 2521, 2525, 2537, 2541, 2544, 2548, 2551, 2555,
    2567, 2571, 2574, 2578, 2588, 2592, 2604, 2608, 2611, 2615, 2627, 2631,
    2639, 2643, 2655, 2659, 2663, 2667, 2679, 2683, 2691, 2695, 2707, 2711,
    2715, 2727, 2731, 2743, 2747, 2775, 2779, 2791, 2795, 2798, 2802, 2812,
    2816, 2828, 2832, 2835, 2839, 2849, 2853, 2865, 2869, 2872, 2876, 2886,
    2890, 2902, 2906, 2918, 2922, 2950, 2954, 2966, 2970, 2978, 2982, 2994,
    2998, 3006, 3010, 3022, 3026, 3034, 3038, 3050, 3054, 3057, 3061, 3071,
    3075, 3087, 3091, 3099, 3103, 3106, 3110, 3112, 3116, 3119, 3123, 3125,
    3129, 3141, 3145, 3157, 3161, 3189, 3193, 3205, 3209, 3221, 3225, 3237,
    3241, 3253, 3257, 3260, 3264, 3274, 3278, 3290, 3294, 3297, 3301, 3304,
    3308, 3320, 3324, 3332, 3336, 3348, 3352, 3356, 3360, 3372, 3376, 3388,
    3392, 3420, 3424, 3436, 3440, 3443, 3447, 3457, 3461, 3473, 3477, 3485,
    3489, 0};
void btoa2(t_stack *stack, int len, t_ops *ops) {
  int i;
  t_s *c;
  t_s *a[3501];
  t_s *b[3501];
  int *inst;

  // printf("aaaaa\n");
  a_02(a, b, stack, len);
  i = len - 1;
  while (i >= 0) {
    // printf("i = %d\n", i);
    a_n2(a, b, i, len);
    i--;
  }

  c = NULL;
  i = 1;
  while (i < 3501) {
    if (c == NULL || (a[i] && a[i]->n < c->n)) {
      c = a[i];
    }
    i++;
  }
  inst = c->inst;
  i = len - 1;
  while (stack->stack_b) {
    rotate_b2(stack, inst[i], ops);
    pa_case2(stack, ops);
    i--;
  }
  // stack_print(stack);
}

void a_02(t_s *a[], t_s *b[], t_stack *stack, int len) {
  int i;

  i = -1;
  while (++i < 3501) {
    a[i] = NULL;
    b[i] = NULL;
  }
  i = 0;
  while (rinit[i]) {
    a[rinit[i]] = a_init2(stack, len);
    i++;
  }
}

void a_n2(t_s *a[], t_s *b[], int n, int len) {
  int i;
  int j;
  int k;
  int temp;

  i = 1;
  while (i < 3501) {
    // printf("iiii %d\n", i);
    if (a[i]) {
      j = 0;
      while (j < 4 && rt[i][j]) {
        // printf("jjjjj %d\n", j);
        if (n + 3 - rt1[rt[i][j]][4] >= 0) {
          if (b[rt[i][j]] == NULL) {
            // printf("js %d\n", j);

            b[rt[i][j]] = get_s21(a[i], n + 3 - rt1[rt[i][j]][4], n + 1, len);
            b[rt[i][j]]->inst[n] = n + 3 - rt1[rt[i][j]][4];
            b[rt[i][j]]->n += rt2[i][j];
            // printf("jd %d\n", j);
          } else {
            temp = a[i]->n + get_s22(a[i], n + 3 - rt1[rt[i][j]][4], n + 1) +
                   rt2[i][j];
            if (temp < b[rt[i][j]]->n) {
              b[rt[i][j]]->n = temp;

              k = n + 1;
              while (k < len) {
                (b[rt[i][j]]->inst)[k] = a[i]->inst[k];
                k++;
              }
            }
          }
        }
        j++;
      }
    }
    i++;
  }
  i = 1;
  while (i < 3501) {
    s_del(a[i]);
    a[i] = b[i];
    b[i] = NULL;
    i++;
  }
}

void pa_case2(t_stack *stack, t_ops *ops) {
  int n;
  t_num *head;

  n = stack->stack_b->n;
  head = stack->stack_a;
  if (!head) {
    pa(stack);
    ops_push_back(ops, PA);
  } else if (!head->next) {
    case1(stack, ops, n);
  } else if (!head->next->next) {
    case2(stack, ops, n);
  } else if (!head->next->next->next) {
    case3(stack, ops, n);
  } else if (!head->next->next->next->next) {
    case4(stack, ops, n);
  } else if (!head->next->next->next->next->next) {
    case5(stack, ops, n);
  } else {
    case0(stack, ops, n);
  }
}

void case1(t_stack *stack, t_ops *ops, int n) {
  int first;
  t_num *head;

  head = stack->stack_a;

  first = head->n;
  if (n < first) {
    pa(stack);
    ops_push_back(ops, PA);
  } else {
    pa(stack);
    ops_push_back(ops, PA);
    ra(stack);
    ops_push_back(ops, RA);
  }
}

void case2(t_stack *stack, t_ops *ops, int n) {
  int first;
  int second;
  t_num *head;

  head = stack->stack_a;
  first = head->n;
  second = head->next->n;
  if (n < first) {
    pa(stack);
    ops_push_back(ops, PA);
  } else if (n > second) {
    pa(stack);
    ops_push_back(ops, PA);
    ra(stack);
    ops_push_back(ops, RA);
  } else {
    ra(stack);
    ops_push_back(ops, RA);
    pa(stack);
    ops_push_back(ops, PA);
    rra(stack);
    ops_push_back(ops, RRA);
  }
}

void case3(t_stack *stack, t_ops *ops, int n) {
  int first;
  int second;
  int third;
  t_num *head;

  head = stack->stack_a;
  first = head->n;
  second = head->next->n;
  third = head->next->next->n;
  if (n < first) {
    pa(stack);
    ops_push_back(ops, PA);
  } else if (n < second) {
    ra(stack);
    ops_push_back(ops, RA);
    pa(stack);
    ops_push_back(ops, PA);
    rra(stack);
    ops_push_back(ops, RRA);

  } else if (n < third) {
    rra(stack);
    ops_push_back(ops, RRA);
    pa(stack);
    ops_push_back(ops, PA);
    ra(stack);
    ops_push_back(ops, RA);
    ra(stack);
    ops_push_back(ops, RA);
  } else {
    pa(stack);
    ops_push_back(ops, PA);
    ra(stack);
    ops_push_back(ops, RA);
  }
}

void case4(t_stack *stack, t_ops *ops, int n) {
  int first;
  int second;
  int third;
  int fourth;
  t_num *head;

  head = stack->stack_a;
  first = head->n;
  second = head->next->n;
  third = head->next->next->n;
  fourth = head->next->next->next->n;
  if (n < first) {
    pa(stack);
    ops_push_back(ops, PA);
  } else if (n < second) {
    ra(stack);
    ops_push_back(ops, RA);
    pa(stack);
    ops_push_back(ops, PA);
    rra(stack);
    ops_push_back(ops, RRA);
  } else if (n < third) {
    ra(stack);
    ops_push_back(ops, RA);
    ra(stack);
    ops_push_back(ops, RA);
    pa(stack);
    ops_push_back(ops, PA);
    rra(stack);
    ops_push_back(ops, RRA);
    rra(stack);
    ops_push_back(ops, RRA);
  } else if (n < fourth) {
    rra(stack);
    ops_push_back(ops, RRA);
    pa(stack);
    ops_push_back(ops, PA);
    ra(stack);
    ops_push_back(ops, RA);
    ra(stack);
    ops_push_back(ops, RA);
  } else {
    pa(stack);
    ops_push_back(ops, PA);
    ra(stack);
    ops_push_back(ops, RA);
  }
}

void case5(t_stack *stack, t_ops *ops, int n) {
  int first;
  int second;
  int third;
  int fourth;
  int fifth;
  t_num *head;

  head = stack->stack_a;
  first = head->n;
  second = head->next->n;
  third = head->next->next->n;
  fourth = head->next->next->next->n;
  fifth = head->next->next->next->next->n;
  if (n < first) {
    pa(stack);
    ops_push_back(ops, PA);
  } else if (n < second) {
    ra(stack);
    ops_push_back(ops, RA);
    pa(stack);
    ops_push_back(ops, PA);
    rra(stack);
    ops_push_back(ops, RRA);
  } else if (n < third) {
    ra(stack);
    ops_push_back(ops, RA);
    ra(stack);
    ops_push_back(ops, RA);
    pa(stack);
    ops_push_back(ops, PA);
    rra(stack);
    ops_push_back(ops, RRA);
    rra(stack);
    ops_push_back(ops, RRA);
  } else if (n < fourth) {
    rra(stack);
    ops_push_back(ops, RRA);
    rra(stack);
    ops_push_back(ops, RRA);
    pa(stack);
    ops_push_back(ops, PA);
    ra(stack);
    ops_push_back(ops, RA);
    ra(stack);
    ops_push_back(ops, RA);
    ra(stack);
    ops_push_back(ops, RA);
  } else if (n < fifth) {
    rra(stack);
    ops_push_back(ops, RRA);
    pa(stack);
    ops_push_back(ops, PA);
    ra(stack);
    ops_push_back(ops, RA);
    ra(stack);
    ops_push_back(ops, RA);
  } else {
    pa(stack);
    ops_push_back(ops, PA);
    ra(stack);
    ops_push_back(ops, RA);
  }
}

void case0(t_stack *stack, t_ops *ops, int n) {
  int first;
  int second;
  int third;
  int fourth;
  int fifth;
  t_num *head;

  head = stack->stack_a;
  first = head->n;
  second = head->next->n;
  third = head->next->next->n;
  fourth = head->next->next->next->n;
  fifth = head->next->next->next->next->n;
  if (n < first) {
    pa(stack);
    ops_push_back(ops, PA);
  } else if (n < second) {
    ra(stack);
    ops_push_back(ops, RA);
    pa(stack);
    ops_push_back(ops, PA);
    rra(stack);
    ops_push_back(ops, RRA);
  } else if (n < third) {
    ra(stack);
    ops_push_back(ops, RA);
    ra(stack);
    ops_push_back(ops, RA);
    pa(stack);
    ops_push_back(ops, PA);
    rra(stack);
    ops_push_back(ops, RRA);
    rra(stack);
    ops_push_back(ops, RRA);
  } else if (n < fourth) {
    ra(stack);
    ops_push_back(ops, RA);
    ra(stack);
    ops_push_back(ops, RA);
    ra(stack);
    ops_push_back(ops, RA);
    pa(stack);
    ops_push_back(ops, PA);
    rra(stack);
    ops_push_back(ops, RRA);
    rra(stack);
    ops_push_back(ops, RRA);
    rra(stack);
    ops_push_back(ops, RRA);
  } else if (n < fifth) {
    ra(stack);
    ops_push_back(ops, RA);
    ra(stack);
    ops_push_back(ops, RA);
    ra(stack);
    ops_push_back(ops, RA);
    ra(stack);
    ops_push_back(ops, RA);
    pa(stack);
    ops_push_back(ops, PA);
    rra(stack);
    ops_push_back(ops, RRA);
    rra(stack);
    ops_push_back(ops, RRA);
    rra(stack);
    ops_push_back(ops, RRA);
    rra(stack);
    ops_push_back(ops, RRA);
  } else {
    ra(stack);
    ops_push_back(ops, RA);
    ra(stack);
    ops_push_back(ops, RA);
    ra(stack);
    ops_push_back(ops, RA);
    ra(stack);
    ops_push_back(ops, RA);
    ra(stack);
    ops_push_back(ops, RA);
    pa(stack);
    ops_push_back(ops, PA);
    rra(stack);
    ops_push_back(ops, RRA);
    rra(stack);
    ops_push_back(ops, RRA);
    rra(stack);
    ops_push_back(ops, RRA);
    rra(stack);
    ops_push_back(ops, RRA);
    rra(stack);
    ops_push_back(ops, RRA);
  }
}

int rotate_b2(t_stack *stack, int n, t_ops *ops) {
  t_num *head;
  t_num *tail;
  int i;

  head = stack->stack_b;
  tail = stack->tail_b;
  if (head->n == n) return (0);
  head = head->next;
  i = 1;
  while (head) {
    if (head->n == n) return (rbi(stack, i, ops));
    if (tail->n == n) return (rrbi(stack, i, ops));
    i++;
    head = head->next;
    tail = tail->last;
  }
  return (0);
}

int get_s22(t_s *a, int n, int size) {
  int i;
  int *stack_b;

  stack_b = a->stack_b;
  i = 0;
  if (stack_b[i] != n) {
    i = 1;
    while (stack_b[i] != n && stack_b[size - i] != n) i++;
  }
  return (i);
}

t_s *get_s21(t_s *a, int n, int size, int len) {
  t_s *temp;
  int i;
  int *stack_b;

  // printf("n = %d, size = %d, len = %d\n", n, size, len);

  stack_b = a->stack_b;
  i = 0;
  if (stack_b[i] != n) {
    i = 1;
    while (1) {
      if (stack_b[i] == n) {
        break;
      }
      if (stack_b[size - i] == n) {
        i *= -1;
        break;
      }
      i++;
    }
  }
  temp = s_dup(a, len, size, i);
  return (temp);
}

t_s *a_init2(t_stack *stack, int len) {
  t_s *result;
  int i;
  t_num *head;

  result = malloc(sizeof(t_s));
  result->n = 0;

  result->stack_b = malloc(sizeof(int) * len);

  i = 0;
  head = stack->stack_b;
  while (i < len) {
    result->stack_b[i] = head->n;
    i++;
    head = head->next;
  }

  result->inst = malloc(sizeof(int) * len);
  return (result);
}