[ [ 5, 10, 11, 13, 19, 29, 34, 35, 39, 44, 54, 57, 72, 73, 83, 84, 92, 110, 117, 123, 124, 126, 127, 
      133, 135, 137, 141, 144, 145, 158, 162, 164, 168, 169, 170, 174, 183, 187, 198, 201, 202, 203, 
      206, 208, 214, 222, 226, 233, 235, 237, 238, 240, 243, 246, 250, 251, 257, 259, 260, 263, 264, 
      266, 271, 274, 276, 278, 280, 282, 286, 287, 300, 313, 314, 324, 327, 333, 335, 339, 349, 353, 
      357, 359, 365, 369, 380, 392, 395, 398, 400, 401, 403, 404, 405, 407, 420, 421, 422, 426, 430, 
      431, 434, 435, 437, 438, 441, 443, 447, 453, 460, 465, 468, 469, 483, 493, 496, 505, 506, 510, 
      513, 515, 517, 523, 536, 539, 540, 544, 548, 550, 559, 566, 572, 581, 583, 587, 589, 593, 594, 
      599, 601, 602, 603, 604, 616, 621, 624, 646, 648, 651, 654, 655, 662, 664, 666, 668, 669, 678, 
      679, 680, 696, 700, 703, 718, 722, 724, 740, 741, 750, 752, 758, 770, 782, 787, 790, 796, 814, 
      819, 825, 835, 836, 841, 848, 852, 859, 862, 866, 867, 884, 887, 890, 891, 893, 897, 901, 913, 
      915, 927, 943, 959, 963, 968, 978, 987, 991, 993, 995, 999, 1001, 1002, 1004, 1010, 1015, 1019, 
      1023, 1025, 1033, 1042, 1045, 1054, 1062, 1064, 1073, 1080, 1082, 1088, 1093, 1095, 1101, 1102, 
      1115, 1129, 1131, 1136, 1137, 1143, 1145, 1148, 1155, 1157, 1161, 1168, 1169, 1173, 1176, 1177, 
      1189, 1191, 1200, 1206, 1208, 1217, 1225, 1240, 1242, 1250, 1251, 1256, 1266, 1275, 1276, 1282, 
      1297, 1309, 1317, 1321, 1326, 1341, 1345, 1347, 1348, 1356, 1366, 1368, 1390, 1393, 1404, 1405, 
      1410, 1412, 1415, 1419, 1427, 1429, 1433, 1435, 1443, 1444, 1447, 1448, 1461, 1465, 1471, 1477, 
      1480, 1481, 1484, 1495, 1496, 1497, 1502, 1507, 1509, 1517, 1524, 1526, 1530, 1533, 1538, 1539, 
      1548, 1550 ], [ 2, 2, 2, 2, 5, 7, 7, 8, 8, 9, 9, 10, 10, 10, 13, 13, 14, 16, 16, 17, 18, 18, 19, 
      19, 21, 21, 26, 26, 27, 27, 30, 30, 31, 31, 36, 37, 38, 39, 40, 40, 41, 42, 46, 47, 49, 49, 50, 
      50, 52, 52, 53, 53, 54, 55, 59, 59, 60, 62, 64, 64, 66, 67, 67, 69, 70, 70, 72, 72, 73, 74, 74, 
      76, 77, 77, 79, 79, 81, 82, 83, 83, 85, 85, 88, 89, 90, 90, 92, 92, 93, 93, 94, 94, 95, 100, 101, 
      102, 103, 103, 103, 103, 104, 104, 105, 105, 106, 107, 108, 111, 113, 114, 115, 116, 116, 118, 
      119, 119, 120, 123, 126, 126, 126, 127, 127, 129, 134, 136, 137, 138, 140, 142, 143, 146, 146, 
      147, 149, 151, 151, 153, 155, 156, 156, 157, 157, 157, 157, 158, 158, 158, 158, 159, 161, 164, 
      165, 166, 166, 167, 169, 169, 170, 171, 173, 176, 176, 177, 177, 178, 178, 179, 179, 181, 183, 
      183, 185, 185, 185, 186, 187, 188, 190, 190, 193, 197, 198, 198, 199, 202, 203, 203, 204, 204, 
      205, 205, 206, 207, 207, 208, 208, 209, 210, 212, 213, 213, 214, 216, 218, 218, 220, 222, 222, 
      223, 224, 226, 228, 228, 232, 233, 233, 236, 236, 237, 237, 239, 240, 240, 241, 241, 241, 241, 
      242, 242, 244, 245, 247, 247, 248, 251, 251, 252, 253, 255, 255, 256, 256, 257, 258, 260, 260, 
      261, 263, 264, 265, 265, 265, 266, 267, 267, 268, 269, 272, 272, 276, 278, 281, 281, 282, 284, 
      284, 286, 288, 289, 291, 292, 292, 293, 293, 294, 294, 294, 294, 295, 296, 297, 298, 299, 299, 
      301, 305, 308, 308, 309, 310, 311, 312, 313, 314, 314, 315, 317, 318, 318, 319, 320, 322, 324, 
      324, 326, 326, 327, 330, 332, 337, 337, 339, 339, 340, 340, 341, 341, 342, 342, 344, 346, 349, 
      350, 350, 351, 351, 351, 353, 353, 354, 357, 357, 358, 358, 359, 360, 360, 365, 365, 366, 369, 
      369, 370, 370, 372, 372, 372, 375, 379, 379, 380, 380, 381, 382, 383, 386, 387, 387, 388, 391, 
      392, 393, 394, 396, 396, 397, 398, 400, 401, 402, 403, 403, 404, 406, 406, 407, 408, 409, 410, 
      410, 413, 413, 414, 414, 416, 417, 419, 420, 420, 421, 423, 423, 424, 425, 425, 426, 426, 427, 
      427, 428, 428, 429, 429, 430, 431, 433, 437, 439, 441, 441, 443, 444, 445, 446, 447, 449, 450, 
      450, 450, 451, 452, 454, 456, 456, 457, 458, 459, 459, 460, 460, 462, 463, 464, 465, 466, 466, 
      468, 468, 469, 471, 472, 473, 474, 475, 476, 476, 476, 476, 477, 477, 479, 480, 480, 481, 481, 
      482, 484, 484, 485, 485, 486, 486, 487, 489, 491, 492, 493, 493, 494, 494, 495, 495, 497, 498, 
      499, 500, 501, 504, 504, 505, 505, 507, 508, 509, 510, 511, 513, 515, 515, 516, 516, 516, 516, 
      517, 518, 519, 521, 522, 523, 524, 524, 525, 525, 526, 526, 527, 528, 529, 532, 533, 535, 537, 
      537, 537, 539, 541, 542, 542, 542, 543, 546, 546, 547, 547, 548, 548, 549, 550, 551, 552, 553, 
      553, 553, 553, 554, 554, 554, 554, 555, 555, 556, 556, 557, 559, 560, 561, 561, 561, 562, 563, 
      564, 564, 566, 566, 567, 569, 571, 573, 574, 575, 575, 575, 577, 577, 578, 580, 580, 581, 581, 
      582, 582, 582, 583, 584, 585, 587, 587, 588, 588, 588, 589, 590, 590, 590, 590, 591, 591, 592, 
      593, 593, 595, 595, 595, 596, 596, 597, 599, 602, 603, 603, 605, 606, 607, 612, 613, 613, 614, 
      614, 614, 614, 615, 615, 617, 618, 618, 619, 619, 620, 621, 621, 621, 623, 624, 624, 625, 625, 
      625, 625, 630, 631, 631, 632, 632, 632, 632, 633, 633, 634, 635, 636, 636, 637, 638, 638, 638, 
      639, 639, 640, 641, 642, 643, 644, 644, 644, 646, 647, 649, 649, 650, 651, 651, 654, 655, 655, 
      656, 659, 659, 660, 660, 665, 665, 666, 667, 667, 668, 668, 669, 670, 672, 673, 675, 677, 677, 
      679, 679, 679, 679, 680, 682, 684, 686, 687, 688, 689, 689, 691, 693, 693, 694, 695, 695, 695, 
      700, 701, 701, 701, 703, 703, 704, 704, 706, 707, 707, 708, 709, 710, 712, 713, 713, 714, 714, 
      715, 715, 716, 716, 717, 717, 718, 721, 723, 725, 726, 727, 727, 727, 728, 728, 729, 730, 732, 
      732, 733, 736, 738, 738, 739, 739, 741, 742, 745, 745, 745, 746, 747, 749, 750, 751, 756, 757, 
      758, 758, 759, 760, 761, 761, 766, 766, 769, 769, 772, 774, 775, 777, 777, 779, 779, 780, 781, 
      782, 782, 784, 784, 788, 790, 790, 793, 794, 794, 795, 797, 798, 799, 799, 800, 801, 802, 802, 
      802, 802, 803, 804, 805, 805, 806, 806, 808, 808, 808, 809, 810, 811, 811, 811, 812, 812, 813, 
      815, 815, 817, 817, 820, 820, 821, 822, 823, 826, 827, 828, 829, 831, 831, 832, 833, 833, 834, 
      834, 835, 835, 837, 837, 840, 841, 841, 842, 843, 843, 846, 847, 847, 848, 848, 851, 851, 852, 
      852, 852, 853, 853, 854, 854, 855, 855, 856, 857, 857, 858, 861, 862, 863, 863, 864, 864, 865, 
      865, 866, 866, 867, 868, 871, 873, 874, 874, 875, 875, 875, 877, 877, 878, 878, 879, 879, 880, 
      880, 881, 882, 883, 884, 886, 888, 892, 893, 894, 894, 895, 899, 900, 901, 901, 905, 905, 906, 
      906, 907, 907, 908, 908, 909, 910, 912, 914, 914, 916, 916, 916, 918, 919, 919, 919, 920, 920, 
      920, 923, 925, 926, 926, 927, 929, 931, 932, 932, 932, 933, 935, 935, 936, 937, 937, 938, 938, 
      939, 939, 940, 940, 941, 941, 942, 942, 945, 946, 947, 947, 949, 950, 951, 954, 956, 957, 958, 
      959, 961, 962, 963, 964, 966, 966, 968, 968, 971, 971, 971, 972, 977, 978, 978, 981, 982, 984, 
      984, 985, 986, 986, 988, 988, 989, 991, 992, 993, 994, 994, 994, 995, 996, 996, 996, 997, 998, 
      999, 999, 1000, 1000, 1001, 1001, 1002, 1002, 1003, 1004, 1004, 1005, 1010, 1011, 1012, 1013, 
      1014, 1015, 1015, 1015, 1017, 1017, 1019, 1019, 1020, 1022, 1024, 1024, 1025, 1026, 1027, 1027, 
      1028, 1028, 1029, 1032, 1033, 1034, 1034, 1035, 1035, 1036, 1038, 1039, 1042, 1042, 1045, 1045, 
      1046, 1046, 1049, 1050, 1051, 1052, 1053, 1055, 1056, 1057, 1058, 1058, 1059, 1060, 1060, 1063, 
      1064, 1067, 1068, 1068, 1071, 1073, 1074, 1074, 1076, 1076, 1078, 1078, 1081, 1085, 1086, 1086, 
      1090, 1090, 1092, 1093, 1097, 1098, 1100, 1101, 1102, 1102, 1103, 1105, 1105, 1106, 1107, 1108, 
      1109, 1109, 1109, 1109, 1110, 1111, 1111, 1112, 1113, 1114, 1115, 1115, 1117, 1118, 1118, 1118, 
      1118, 1119, 1121, 1122, 1123, 1125, 1127, 1128, 1130, 1134, 1140, 1140, 1141, 1143, 1144, 1144, 
      1148, 1148, 1148, 1148, 1151, 1152, 1153, 1153, 1154, 1155, 1156, 1157, 1158, 1159, 1159, 1161, 
      1161, 1163, 1164, 1164, 1164, 1165, 1165, 1165, 1168, 1168, 1172, 1174, 1174, 1176, 1176, 1177, 
      1180, 1182, 1183, 1184, 1185, 1186, 1188, 1189, 1189, 1190, 1191, 1192, 1192, 1193, 1193, 1195, 
      1195, 1196, 1196, 1197, 1199, 1200, 1202, 1202, 1202, 1206, 1207, 1209, 1210, 1212, 1213, 1214, 
      1215, 1216, 1217, 1217, 1219, 1221, 1223, 1224, 1224, 1225, 1225, 1226, 1228, 1228, 1230, 1231, 
      1232, 1233, 1234, 1235, 1237, 1239, 1240, 1240, 1241, 1241, 1241, 1244, 1244, 1246, 1247, 1247, 
      1249, 1249, 1251, 1251, 1253, 1253, 1255, 1257, 1259, 1259, 1262, 1262, 1263, 1264, 1264, 1266, 
      1266, 1267, 1267, 1268, 1269, 1270, 1270, 1271, 1271, 1271, 1273, 1275, 1278, 1278, 1279, 1279, 
      1281, 1282, 1283, 1283, 1283, 1285, 1286, 1286, 1286, 1288, 1289, 1289, 1290, 1291, 1291, 1292, 
      1293, 1293, 1294, 1295, 1296, 1296, 1297, 1297, 1298, 1299, 1300, 1301, 1302, 1302, 1302, 1302, 
      1303, 1304, 1304, 1307, 1307, 1311, 1312, 1314, 1317, 1318, 1318, 1318, 1319, 1320, 1322, 1322, 
      1323, 1326, 1327, 1327, 1327, 1327, 1328, 1328, 1329, 1329, 1330, 1330, 1331, 1333, 1333, 1334, 
      1335, 1336, 1336, 1338, 1339, 1339, 1343, 1345, 1346, 1347, 1347, 1348, 1354, 1355, 1355, 1356, 
      1357, 1358, 1359, 1360, 1361, 1361, 1361, 1362, 1363, 1363, 1364, 1364, 1364, 1365, 1367, 1368, 
      1368, 1372, 1372, 1374, 1376, 1376, 1376, 1378, 1378, 1380, 1382, 1383, 1384, 1384, 1386, 1387, 
      1390, 1390, 1392, 1393, 1395, 1395, 1396, 1396, 1399, 1400, 1401, 1401, 1401, 1401, 1403, 1403, 
      1405, 1405, 1406, 1407, 1407, 1408, 1408, 1408, 1408, 1409, 1409, 1410, 1411, 1415, 1417, 1419, 
      1419, 1420, 1422, 1423, 1423, 1424, 1425, 1425, 1426, 1426, 1427, 1428, 1428, 1429, 1430, 1430, 
      1432, 1434, 1436, 1437, 1438, 1438, 1440, 1440, 1441, 1441, 1443, 1444, 1444, 1447, 1448, 1451, 
      1451, 1453, 1453, 1454, 1454, 1454, 1454, 1454, 1454, 1454, 1458, 1459, 1459, 1460, 1461, 1463, 
      1463, 1464, 1465, 1465, 1465, 1465, 1467, 1468, 1468, 1469, 1470, 1470, 1472, 1473, 1473, 1483, 
      1484, 1484, 1487, 1488, 1489, 1489, 1490, 1490, 1491, 1491, 1492, 1493, 1493, 1494, 1495, 1497, 
      1500, 1500, 1501, 1501, 1502, 1503, 1504, 1504, 1504, 1505, 1505, 1506, 1507, 1507, 1507, 1507, 
      1507, 1507, 1507, 1510, 1512, 1512, 1514, 1514, 1515, 1517, 1518, 1518, 1519, 1519, 1520, 1520, 
      1521, 1522, 1523, 1523, 1524, 1524, 1524, 1528, 1530, 1530, 1530, 1531, 1531, 1531, 1532, 1534, 
      1534, 1535, 1536, 1539, 1540, 1540, 1542, 1543, 1543, 1545, 1546, 1546, 1547, 1549, 1549 ] ]