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      460, 469, 477, 497, 579, 591, 593, 609, 621, 631, 633, 634, 654, 663, 677, 680, 690, 736, 763, 
      791, 801, 812, 829, 862, 870, 892, 898, 900, 940, 942, 960, 977, 984, 1054, 1072, 1077, 1086, 
      1090, 1092, 1105, 1134, 1144, 1184, 1207, 1219, 1231, 1233, 1268, 1286, 1332, 1338, 1344, 1347, 
      1390, 1426, 1464, 1495, 1496 ], [ 3, 4, 4, 6, 6, 7, 8, 9, 11, 11, 11, 12, 12, 13, 14, 18, 19, 20, 
      22, 22, 23, 23, 24, 24, 26, 27, 30, 30, 30, 31, 32, 32, 32, 33, 34, 36, 36, 38, 39, 39, 40, 40, 
      40, 42, 42, 43, 47, 48, 49, 49, 50, 51, 52, 53, 54, 58, 61, 62, 63, 64, 65, 66, 66, 67, 68, 68, 
      68, 69, 71, 72, 74, 77, 77, 78, 78, 80, 81, 82, 82, 83, 83, 84, 85, 86, 87, 88, 88, 89, 89, 91, 
      93, 97, 100, 101, 102, 102, 102, 103, 105, 106, 107, 107, 108, 108, 108, 109, 110, 110, 111, 111, 
      112, 119, 120, 121, 121, 122, 124, 125, 125, 126, 127, 127, 128, 129, 130, 132, 133, 134, 134, 
      134, 135, 135, 136, 136, 138, 138, 138, 139, 140, 141, 143, 144, 144, 145, 145, 145, 146, 149, 
      149, 150, 151, 152, 153, 154, 154, 157, 160, 160, 160, 162, 162, 163, 163, 164, 164, 164, 165, 
      167, 168, 169, 171, 171, 171, 172, 174, 174, 175, 175, 176, 180, 182, 183, 184, 185, 186, 187, 
      187, 189, 189, 191, 193, 194, 194, 195, 196, 196, 197, 198, 199, 199, 201, 201, 203, 204, 207, 
      208, 209, 209, 209, 211, 212, 212, 212, 214, 214, 214, 215, 215, 215, 216, 216, 217, 218, 218, 
      219, 220, 220, 223, 225, 226, 226, 226, 227, 227, 228, 228, 229, 229, 231, 231, 234, 234, 236, 
      239, 240, 242, 243, 243, 244, 244, 245, 246, 247, 248, 249, 251, 252, 253, 254, 255, 256, 256, 
      256, 257, 257, 258, 258, 260, 260, 261, 264, 264, 267, 267, 267, 271, 271, 273, 274, 275, 277, 
      278, 280, 281, 282, 283, 283, 285, 285, 287, 288, 290, 290, 291, 291, 291, 295, 295, 296, 298, 
      299, 302, 303, 303, 304, 304, 305, 309, 312, 313, 313, 313, 315, 317, 318, 319, 320, 321, 322, 
      322, 323, 323, 325, 325, 325, 326, 326, 326, 327, 328, 330, 330, 331, 332, 333, 334, 335, 336, 
      337, 339, 340, 341, 341, 342, 343, 344, 345, 345, 346, 347, 349, 350, 351, 354, 354, 356, 357, 
      358, 359, 359, 360, 363, 364, 365, 366, 366, 366, 367, 367, 368, 368, 368, 369, 371, 372, 373, 
      374, 376, 377, 379, 379, 379, 380, 380, 380, 381, 382, 383, 383, 384, 387, 390, 391, 396, 397, 
      398, 400, 400, 400, 403, 403, 405, 405, 406, 406, 408, 409, 409, 409, 412, 415, 415, 416, 418, 
      419, 421, 421, 422, 422, 422, 423, 424, 428, 429, 430, 431, 433, 434, 435, 436, 436, 438, 438, 
      438, 439, 440, 442, 444, 445, 446, 447, 447, 448, 449, 449, 450, 454, 454, 455, 456, 457, 458, 
      459, 461, 461, 462, 462, 463, 465, 466, 471, 472, 473, 473, 474, 476, 478, 478, 479, 479, 481, 
      482, 482, 483, 484, 484, 485, 487, 487, 489, 490, 490, 491, 491, 492, 492, 493, 494, 495, 496, 
      497, 497, 497, 499, 499, 500, 503, 503, 504, 506, 506, 507, 507, 509, 509, 512, 512, 515, 516, 
      517, 519, 521, 522, 524, 524, 525, 526, 527, 528, 530, 530, 532, 533, 534, 534, 536, 537, 537, 
      538, 539, 540, 541, 541, 542, 542, 544, 544, 544, 546, 546, 547, 547, 548, 549, 550, 551, 554, 
      554, 554, 557, 558, 558, 559, 561, 563, 563, 564, 565, 565, 566, 569, 570, 570, 571, 571, 572, 
      572, 572, 573, 574, 576, 577, 578, 578, 579, 581, 582, 586, 587, 589, 590, 591, 592, 592, 594, 
      596, 597, 598, 598, 599, 601, 601, 602, 602, 605, 605, 606, 606, 607, 608, 610, 611, 614, 615, 
      615, 615, 616, 616, 617, 617, 618, 619, 619, 620, 620, 622, 624, 624, 627, 630, 630, 634, 634, 
      634, 635, 639, 640, 640, 641, 642, 642, 643, 643, 643, 644, 645, 646, 647, 648, 649, 650, 652, 
      652, 654, 655, 656, 656, 657, 658, 660, 661, 663, 664, 665, 665, 667, 668, 668, 669, 670, 670, 
      670, 671, 672, 672, 673, 673, 674, 676, 678, 680, 680, 680, 682, 685, 687, 688, 690, 690, 690, 
      691, 693, 695, 697, 698, 698, 698, 699, 700, 701, 701, 702, 702, 703, 705, 706, 706, 706, 708, 
      708, 708, 710, 711, 713, 715, 715, 718, 719, 719, 719, 720, 721, 722, 722, 724, 725, 726, 726, 
      727, 728, 728, 729, 729, 730, 734, 735, 735, 738, 738, 739, 739, 740, 741, 741, 742, 742, 742, 
      745, 746, 746, 746, 747, 748, 750, 751, 753, 754, 755, 757, 757, 758, 759, 760, 762, 762, 764, 
      765, 766, 767, 769, 769, 771, 771, 772, 773, 774, 774, 774, 775, 776, 777, 778, 778, 779, 780, 
      783, 784, 785, 785, 785, 786, 786, 787, 788, 788, 790, 790, 791, 792, 792, 793, 793, 793, 794, 
      795, 795, 795, 796, 796, 798, 799, 799, 800, 801, 804, 805, 805, 805, 808, 808, 809, 809, 810, 
      812, 812, 812, 813, 814, 815, 816, 816, 818, 818, 820, 820, 821, 822, 823, 823, 826, 828, 829, 
      830, 831, 831, 835, 837, 837, 838, 838, 838, 840, 842, 843, 843, 843, 844, 846, 847, 847, 847, 
      848, 849, 852, 853, 855, 856, 856, 858, 858, 860, 860, 861, 862, 863, 863, 865, 866, 866, 868, 
      869, 869, 871, 871, 872, 872, 872, 873, 874, 875, 876, 877, 879, 881, 881, 883, 884, 886, 887, 
      888, 889, 889, 890, 892, 893, 894, 894, 894, 895, 895, 896, 898, 898, 898, 899, 900, 901, 902, 
      904, 905, 906, 906, 907, 907, 908, 909, 910, 912, 912, 915, 916, 917, 917, 919, 920, 922, 924, 
      926, 927, 928, 929, 930, 931, 931, 932, 932, 933, 934, 937, 938, 940, 941, 942, 942, 943, 945, 
      947, 949, 949, 950, 952, 954, 955, 955, 958, 958, 959, 960, 961, 962, 963, 965, 966, 967, 967, 
      970, 973, 974, 974, 976, 977, 978, 978, 979, 980, 984, 988, 988, 989, 990, 991, 993, 995, 998, 
      999, 1000, 1001, 1001, 1002, 1003, 1004, 1006, 1009, 1011, 1012, 1013, 1014, 1014, 1016, 1017, 
      1020, 1020, 1022, 1023, 1024, 1024, 1024, 1025, 1026, 1028, 1029, 1030, 1030, 1032, 1033, 1034, 
      1034, 1036, 1039, 1039, 1039, 1040, 1041, 1042, 1043, 1044, 1045, 1047, 1048, 1048, 1049, 1049, 
      1050, 1051, 1051, 1052, 1056, 1057, 1058, 1059, 1060, 1060, 1061, 1062, 1062, 1062, 1063, 1064, 
      1064, 1065, 1066, 1067, 1068, 1070, 1072, 1072, 1072, 1073, 1074, 1075, 1076, 1076, 1079, 1079, 
      1080, 1081, 1082, 1084, 1084, 1084, 1085, 1085, 1085, 1088, 1088, 1089, 1089, 1090, 1091, 1091, 
      1092, 1092, 1092, 1093, 1094, 1095, 1096, 1096, 1096, 1097, 1099, 1102, 1102, 1102, 1104, 1104, 
      1105, 1106, 1107, 1108, 1110, 1110, 1110, 1111, 1111, 1112, 1113, 1113, 1113, 1114, 1116, 1116, 
      1116, 1117, 1117, 1119, 1121, 1121, 1122, 1125, 1126, 1126, 1127, 1128, 1130, 1131, 1131, 1131, 
      1132, 1132, 1134, 1135, 1136, 1137, 1137, 1139, 1140, 1140, 1141, 1141, 1143, 1145, 1145, 1146, 
      1146, 1146, 1150, 1150, 1151, 1151, 1152, 1153, 1154, 1154, 1155, 1155, 1156, 1157, 1157, 1158, 
      1160, 1160, 1161, 1161, 1162, 1162, 1163, 1164, 1165, 1166, 1168, 1168, 1169, 1169, 1170, 1170, 
      1172, 1172, 1174, 1174, 1175, 1175, 1175, 1177, 1177, 1180, 1180, 1180, 1181, 1184, 1184, 1185, 
      1186, 1186, 1187, 1187, 1189, 1191, 1191, 1191, 1192, 1193, 1194, 1195, 1195, 1195, 1197, 1199, 
      1201, 1201, 1203, 1203, 1203, 1204, 1205, 1207, 1207, 1208, 1212, 1212, 1213, 1215, 1216, 1217, 
      1218, 1219, 1219, 1219, 1220, 1221, 1222, 1223, 1223, 1224, 1224, 1225, 1226, 1227, 1227, 1228, 
      1229, 1230, 1232, 1232, 1236, 1236, 1237, 1241, 1242, 1243, 1244, 1245, 1245, 1248, 1248, 1248, 
      1249, 1249, 1249, 1250, 1251, 1251, 1251, 1254, 1256, 1260, 1261, 1262, 1262, 1262, 1265, 1265, 
      1266, 1267, 1268, 1269, 1270, 1273, 1274, 1275, 1275, 1276, 1277, 1277, 1278, 1278, 1279, 1282, 
      1282, 1284, 1286, 1287, 1288, 1289, 1289, 1290, 1292, 1293, 1295, 1296, 1299, 1302, 1302, 1302, 
      1303, 1303, 1304, 1305, 1305, 1306, 1307, 1307, 1309, 1309, 1310, 1311, 1313, 1314, 1315, 1315, 
      1317, 1318, 1320, 1320, 1322, 1324, 1325, 1326, 1327, 1327, 1328, 1329, 1329, 1331, 1332, 1332, 
      1333, 1335, 1336, 1337, 1338, 1339, 1340, 1342, 1342, 1343, 1344, 1345, 1345, 1346, 1346, 1348, 
      1349, 1349, 1351, 1351, 1353, 1354, 1355, 1356, 1357, 1357, 1358, 1359, 1360, 1362, 1364, 1365, 
      1366, 1367, 1368, 1368, 1369, 1370, 1373, 1373, 1374, 1375, 1376, 1378, 1380, 1380, 1380, 1383, 
      1384, 1385, 1386, 1387, 1388, 1390, 1391, 1392, 1393, 1393, 1393, 1395, 1396, 1399, 1399, 1400, 
      1400, 1401, 1401, 1402, 1403, 1406, 1409, 1409, 1409, 1410, 1411, 1412, 1413, 1416, 1417, 1419, 
      1422, 1423, 1425, 1425, 1426, 1426, 1428, 1430, 1431, 1431, 1432, 1432, 1432, 1433, 1435, 1436, 
      1437, 1437, 1438, 1439, 1439, 1441, 1442, 1443, 1444, 1444, 1445, 1445, 1446, 1447, 1447, 1448, 
      1450, 1451, 1452, 1453, 1453, 1453, 1454, 1455, 1455, 1459, 1459, 1460, 1462, 1462, 1463, 1465, 
      1466, 1466, 1468, 1468, 1468, 1470, 1470, 1470, 1471, 1471, 1472, 1475, 1476, 1477, 1478, 1479, 
      1480, 1481, 1482, 1484, 1485, 1487, 1487, 1488, 1489, 1489, 1489, 1491, 1492, 1493, 1493, 1493, 
      1494, 1494, 1497, 1497, 1498, 1499, 1501, 1502, 1502, 1502, 1504, 1504, 1506, 1506, 1507, 1508, 
      1511, 1512, 1512, 1513, 1514, 1515, 1518, 1520, 1520, 1520, 1521, 1522, 1526, 1526, 1527, 1528, 
      1529, 1531, 1531, 1532, 1533, 1534, 1535, 1536, 1538, 1540, 1541, 1542, 1544, 1544, 1545, 1546, 
      1546, 1546, 1547, 1548, 1549, 1551, 1551, 1551, 1552, 1553, 1553, 1554, 1555, 1556, 1557, 1558, 
      1561, 1561, 1563, 1565, 1568, 1569, 1572, 1572, 1572, 1574, 1575, 1575, 1577, 1577, 1578, 1578, 
      1579, 1580, 1581, 1581, 1582, 1583, 1583, 1585, 1585, 1585, 1589, 1589, 1590, 1591, 1591, 1591, 
      1593, 1595, 1595, 1595, 1596, 1596, 1596, 1597, 1600, 1601, 1602, 1603, 1604, 1605, 1607, 1609, 
      1610, 1611, 1613, 1614, 1615, 1615, 1616, 1617, 1617, 1619, 1619, 1620, 1621, 1622, 1622, 1623, 
      1623, 1624, 1624, 1624, 1625, 1627, 1628, 1629, 1629, 1630, 1633, 1636, 1636, 1637, 1638, 1638, 
      1638, 1640, 1641, 1642, 1642, 1643, 1643, 1644, 1646, 1647, 1647, 1648, 1650, 1652, 1653, 1654, 
      1656, 1657, 1657, 1659, 1660, 1660, 1662, 1663, 1665, 1665, 1667, 1668, 1669, 1670, 1672, 1672, 
      1673, 1673, 1674, 1674, 1675, 1676, 1677, 1678, 1679, 1679, 1680, 1681, 1682, 1682, 1683, 1684, 
      1686, 1686, 1687, 1689, 1689, 1690, 1691, 1692, 1692, 1694, 1694, 1697, 1701, 1702, 1702, 1704, 
      1705, 1705, 1706, 1707, 1708, 1708, 1709, 1709, 1711, 1713, 1714, 1716 ] ]