[ [ 5, 7, 22, 23, 29, 38, 42, 43, 46, 51, 52, 68, 79, 80, 82, 90, 95, 99, 102, 105, 106, 108, 111, 119, 
      129, 131, 133, 142, 145, 146, 147, 151, 154, 162, 167, 168, 169, 171, 181, 185, 189, 190, 191, 
      194, 197, 198, 203, 207, 209, 210, 219, 225, 226, 229, 231, 232, 236, 238, 242, 247, 248, 254, 
      255, 259, 260, 263, 279, 283, 288, 295, 296, 301, 304, 306, 308, 309, 319, 328, 347, 355, 356, 
      358, 359, 360, 370, 371, 375, 378, 382, 390, 393, 394, 401, 402, 415, 417, 418, 425, 426, 428, 
      429, 432, 435, 438, 442, 443, 444, 445, 448, 450, 452, 453, 456, 457, 459, 465, 469, 479, 485, 
      487, 491, 494, 495, 496, 514, 515, 516, 517, 518, 522, 524, 527, 536, 538, 547, 548, 554, 555, 
      557, 571, 576, 578, 593, 594, 596, 603, 604, 607, 610, 620, 621, 622, 623, 624, 627, 629, 636, 
      637, 638, 639, 642, 648, 652, 653, 654, 657, 661, 662, 664, 665, 673, 674, 675, 677, 678, 683, 
      684, 685, 693, 694, 698, 707, 710, 713, 718, 728, 730, 734, 739, 753, 758, 761, 769, 771, 778, 
      779, 782, 788, 792, 796, 799, 801, 812, 814, 815, 818, 819, 822, 825, 836, 837, 839, 840, 841, 
      846, 854, 862, 874, 878, 882, 885, 895, 897, 902, 909, 911, 917, 926, 935, 939, 940, 941, 946, 
      951, 957, 958, 967, 968, 974, 984, 988, 991, 992, 994, 999, 1000, 1007, 1009, 1012, 1024, 1025, 
      1026, 1029, 1030, 1034, 1038, 1042, 1050, 1054, 1055, 1057, 1062, 1080, 1082, 1086, 1088, 1089, 
      1092, 1093, 1102, 1108, 1115, 1124, 1126, 1129, 1130, 1131, 1138, 1140, 1148, 1151, 1155, 1158, 
      1160, 1163, 1166, 1185, 1187, 1198, 1203, 1205, 1214, 1219, 1228, 1232, 1239, 1240, 1241, 1243, 
      1247, 1252, 1253, 1255, 1267, 1272, 1273, 1274, 1275, 1276, 1279, 1294, 1298, 1313, 1324, 1326, 
      1337, 1338, 1340, 1341, 1342, 1348, 1354, 1355, 1357, 1359, 1360, 1369, 1372, 1385, 1390, 1393, 
      1401, 1403, 1408, 1420, 1422, 1439, 1445, 1450, 1457, 1461, 1465, 1466, 1470, 1473, 1476, 1486, 
      1489, 1494, 1498, 1504, 1506, 1512, 1514, 1521, 1524, 1529, 1532, 1534, 1538, 1542, 1548, 1549, 
      1550, 1555, 1560, 1561, 1566, 1571, 1575, 1577, 1578, 1580, 1586, 1587, 1598, 1601, 1604, 1608, 
      1611, 1612, 1616, 1622, 1625, 1628, 1629, 1634, 1638, 1640, 1649, 1654, 1656, 1657, 1658, 1660, 
      1661, 1665, 1670, 1671, 1672, 1673, 1676, 1678, 1683, 1684, 1686, 1688, 1691, 1692, 1699, 1711, 
      1713, 1716, 1719, 1723, 1724, 1731, 1732, 1734, 1748, 1751, 1752, 1754, 1756, 1758, 1760, 1761, 
      1763, 1770, 1774, 1775, 1776, 1780, 1788, 1790, 1792, 1794, 1797, 1798, 1802, 1805, 1809, 1811, 
      1813, 1814, 1815, 1816, 1819, 1824, 1826, 1830, 1832, 1838, 1847, 1848, 1854, 1855, 1856, 1860, 
      1866, 1872, 1881, 1884, 1886, 1889, 1890, 1891, 1892, 1893, 1894, 1896, 1898, 1900, 1901, 1904, 
      1911, 1917, 1918, 1919, 1920, 1921, 1925, 1926, 1930, 1931, 1940, 1947, 1950, 1952, 1956, 1965, 
      1974, 1980, 1981, 1989, 1994, 1998, 2000, 2002, 2008, 2009, 2011, 2014, 2015 ], 
  [ 3, 3, 3, 5, 5, 5, 5, 8, 9, 9, 9, 9, 15, 17, 18, 18, 19, 21, 21, 21, 21, 21, 21, 22, 28, 29, 29, 29, 
      32, 32, 33, 33, 33, 33, 33, 39, 39, 39, 39, 39, 39, 41, 41, 42, 43, 44, 44, 45, 45, 47, 47, 47, 
      47, 47, 49, 49, 49, 49, 52, 52, 55, 56, 58, 58, 58, 60, 64, 66, 67, 68, 69, 71, 71, 71, 71, 71, 
      72, 73, 73, 73, 73, 73, 73, 76, 76, 76, 77, 79, 79, 79, 80, 80, 80, 80, 80, 82, 82, 82, 82, 83, 
      84, 86, 87, 87, 87, 87, 87, 87, 88, 90, 97, 99, 99, 104, 105, 105, 105, 105, 105, 105, 106, 112, 
      112, 112, 112, 112, 113, 116, 122, 124, 124, 124, 124, 124, 126, 127, 127, 127, 127, 128, 131, 
      131, 131, 137, 139, 139, 139, 139, 144, 144, 144, 144, 145, 151, 152, 155, 155, 156, 159, 159, 
      159, 159, 160, 161, 161, 161, 164, 165, 165, 165, 165, 165, 165, 166, 172, 172, 172, 172, 172, 
      172, 172, 173, 173, 173, 173, 173, 174, 174, 174, 175, 175, 176, 178, 179, 181, 181, 181, 183, 
      183, 183, 183, 183, 185, 185, 185, 185, 187, 188, 189, 189, 191, 193, 193, 193, 193, 193, 193, 
      197, 197, 201, 201, 201, 201, 205, 205, 207, 207, 208, 209, 209, 209, 209, 212, 215, 215, 215, 
      216, 216, 217, 217, 217, 217, 221, 222, 222, 228, 228, 229, 234, 235, 235, 235, 235, 235, 235, 
      239, 239, 239, 240, 240, 240, 240, 241, 245, 247, 250, 250, 250, 254, 254, 255, 256, 258, 260, 
      264, 265, 266, 268, 269, 269, 269, 270, 270, 270, 270, 270, 274, 274, 274, 274, 275, 276, 278, 
      278, 278, 284, 286, 286, 286, 286, 293, 295, 295, 298, 300, 300, 301, 301, 302, 302, 303, 306, 
      314, 314, 314, 318, 318, 318, 318, 318, 318, 319, 319, 319, 322, 322, 322, 330, 332, 336, 336, 
      336, 337, 338, 338, 338, 339, 339, 339, 339, 348, 348, 348, 350, 351, 351, 352, 357, 358, 363, 
      363, 363, 363, 369, 369, 369, 370, 370, 372, 374, 377, 377, 379, 381, 382, 382, 382, 383, 383, 
      383, 383, 387, 388, 389, 392, 392, 392, 392, 392, 392, 393, 393, 393, 394, 397, 400, 401, 401, 
      403, 403, 403, 404, 408, 408, 409, 409, 410, 410, 410, 410, 410, 416, 418, 418, 420, 421, 421, 
      421, 422, 422, 422, 427, 428, 429, 432, 432, 432, 432, 432, 435, 436, 436, 441, 441, 441, 443, 
      443, 443, 443, 443, 444, 447, 447, 447, 447, 447, 448, 448, 448, 448, 448, 448, 448, 449, 451, 
      456, 456, 456, 457, 457, 457, 457, 457, 458, 459, 459, 459, 459, 459, 468, 470, 480, 481, 482, 
      482, 483, 484, 485, 485, 485, 487, 487, 487, 487, 487, 489, 490, 495, 495, 495, 498, 500, 501, 
      501, 501, 501, 502, 502, 502, 504, 505, 505, 506, 506, 508, 511, 514, 514, 514, 516, 516, 516, 
      516, 516, 518, 519, 519, 521, 523, 523, 523, 525, 525, 525, 525, 526, 528, 534, 534, 534, 534, 
      537, 537, 537, 537, 537, 539, 541, 541, 541, 542, 542, 542, 543, 543, 543, 543, 546, 546, 546, 
      546, 547, 548, 548, 548, 549, 553, 554, 554, 557, 557, 559, 564, 564, 564, 565, 566, 566, 566, 
      566, 567, 567, 567, 567, 569, 569, 570, 570, 570, 570, 571, 571, 571, 578, 578, 578, 578, 580, 
      583, 583, 583, 589, 590, 590, 590, 590, 592, 592, 594, 601, 604, 604, 604, 604, 604, 604, 605, 
      608, 608, 609, 609, 609, 609, 612, 613, 613, 613, 615, 615, 615, 615, 617, 617, 617, 620, 620, 
      620, 620, 620, 621, 621, 621, 621, 621, 622, 622, 622, 622, 622, 626, 627, 628, 628, 628, 629, 
      629, 629, 629, 629, 632, 632, 633, 633, 633, 633, 635, 636, 637, 637, 639, 640, 640, 640, 642, 
      642, 642, 647, 647, 648, 650, 650, 650, 650, 650, 650, 653, 653, 653, 653, 653, 653, 653, 656, 
      657, 657, 658, 658, 658, 658, 659, 660, 661, 661, 661, 663, 668, 669, 674, 674, 674, 674, 677, 
      677, 680, 682, 682, 682, 685, 685, 685, 687, 687, 688, 688, 689, 690, 690, 690, 690, 690, 692, 
      694, 694, 696, 697, 697, 697, 698, 698, 698, 700, 700, 700, 700, 700, 702, 702, 702, 703, 705, 
      709, 709, 709, 709, 709, 713, 714, 714, 714, 715, 715, 716, 718, 719, 719, 720, 721, 722, 725, 
      725, 725, 725, 725, 730, 730, 730, 730, 730, 734, 736, 742, 745, 745, 745, 748, 750, 750, 751, 
      751, 751, 756, 758, 763, 764, 765, 765, 765, 765, 767, 767, 767, 767, 767, 768, 769, 770, 770, 
      770, 770, 770, 770, 770, 772, 772, 772, 772, 772, 773, 773, 774, 774, 774, 777, 778, 780, 780, 
      780, 780, 782, 790, 790, 791, 791, 791, 791, 791, 793, 795, 795, 797, 798, 798, 798, 798, 798, 
      801, 804, 805, 807, 807, 807, 807, 810, 810, 811, 811, 811, 811, 811, 812, 820, 820, 820, 820, 
      820, 824, 825, 825, 826, 827, 829, 833, 836, 836, 836, 836, 836, 841, 842, 842, 845, 846, 848, 
      850, 851, 852, 857, 859, 859, 860, 862, 863, 864, 865, 865, 865, 866, 866, 869, 869, 869, 871, 
      871, 875, 876, 876, 876, 876, 876, 884, 886, 886, 886, 886, 886, 888, 888, 888, 889, 889, 891, 
      891, 891, 893, 893, 893, 893, 893, 893, 893, 894, 895, 895, 898, 901, 901, 903, 904, 904, 904, 
      907, 907, 907, 907, 907, 911, 922, 922, 924, 925, 925, 928, 928, 928, 928, 929, 929, 929, 929, 
      929, 934, 935, 935, 935, 936, 936, 936, 936, 936, 936, 936, 937, 937, 939, 939, 940, 942, 942, 
      942, 944, 945, 947, 947, 948, 948, 948, 948, 948, 949, 949, 953, 957, 961, 961, 961, 964, 974, 
      976, 978, 981, 982, 983, 983, 983, 983, 983, 984, 984, 984, 984, 984, 986, 986, 986, 986, 986, 
      986, 990, 990, 991, 993, 993, 994, 997, 997, 997, 997, 997, 997, 999, 1000, 1001, 1001, 1001, 
      1002, 1002, 1003, 1003, 1003, 1003, 1003, 1007, 1009, 1010, 1010, 1010, 1011, 1012, 1013, 1014, 
      1020, 1021, 1021, 1024, 1024, 1028, 1028, 1034, 1037, 1037, 1037, 1038, 1038, 1039, 1039, 1039, 
      1040, 1044, 1048, 1048, 1048, 1048, 1048, 1048, 1049, 1052, 1052, 1052, 1052, 1053, 1055, 1063, 
      1063, 1064, 1065, 1067, 1069, 1069, 1072, 1072, 1072, 1072, 1073, 1075, 1079, 1080, 1080, 1080, 
      1080, 1080, 1080, 1087, 1087, 1087, 1087, 1088, 1089, 1089, 1089, 1092, 1095, 1095, 1096, 1096, 
      1098, 1103, 1103, 1107, 1107, 1111, 1111, 1111, 1111, 1112, 1112, 1112, 1117, 1120, 1120, 1133, 
      1134, 1135, 1136, 1136, 1136, 1136, 1137, 1139, 1139, 1139, 1139, 1140, 1141, 1141, 1141, 1141, 
      1142, 1143, 1145, 1145, 1145, 1145, 1146, 1147, 1147, 1149, 1151, 1152, 1152, 1152, 1152, 1152, 
      1153, 1156, 1157, 1164, 1164, 1164, 1164, 1164, 1165, 1171, 1172, 1172, 1173, 1173, 1173, 1177, 
      1177, 1177, 1177, 1182, 1184, 1185, 1186, 1186, 1186, 1186, 1186, 1188, 1188, 1188, 1189, 1189, 
      1192, 1192, 1197, 1197, 1197, 1197, 1197, 1199, 1201, 1201, 1202, 1207, 1209, 1209, 1211, 1211, 
      1211, 1211, 1211, 1211, 1211, 1213, 1213, 1213, 1213, 1213, 1213, 1214, 1214, 1222, 1222, 1224, 
      1225, 1225, 1225, 1225, 1225, 1225, 1225, 1226, 1227, 1228, 1229, 1229, 1235, 1237, 1237, 1239, 
      1239, 1239, 1239, 1240, 1243, 1243, 1246, 1246, 1246, 1247, 1248, 1248, 1248, 1248, 1248, 1248, 
      1249, 1250, 1250, 1251, 1253, 1253, 1254, 1257, 1257, 1257, 1260, 1260, 1260, 1260, 1261, 1261, 
      1261, 1261, 1261, 1264, 1267, 1267, 1267, 1267, 1267, 1272, 1274, 1275, 1276, 1276, 1276, 1276, 
      1276, 1278, 1286, 1289, 1289, 1289, 1290, 1291, 1297, 1297, 1297, 1297, 1297, 1298, 1298, 1299, 
      1299, 1302, 1302, 1302, 1302, 1302, 1303, 1306, 1308, 1308, 1312, 1313, 1316, 1320, 1320, 1320, 
      1320, 1320, 1321, 1322, 1322, 1322, 1322, 1324, 1324, 1324, 1324, 1324, 1324, 1326, 1326, 1329, 
      1329, 1331, 1331, 1333, 1333, 1333, 1334, 1336, 1337, 1337, 1337, 1337, 1337, 1337, 1339, 1339, 
      1339, 1339, 1340, 1344, 1344, 1345, 1347, 1349, 1349, 1351, 1351, 1351, 1351, 1351, 1351, 1351, 
      1353, 1353, 1353, 1355, 1355, 1356, 1357, 1357, 1357, 1357, 1357, 1362, 1362, 1366, 1367, 1369, 
      1372, 1372, 1372, 1375, 1375, 1375, 1376, 1376, 1377, 1377, 1378, 1379, 1380, 1380, 1380, 1381, 
      1381, 1381, 1381, 1381, 1381, 1382, 1382, 1385, 1387, 1388, 1389, 1391, 1391, 1393, 1393, 1394, 
      1394, 1394, 1394, 1394, 1396, 1397, 1401, 1401, 1401, 1403, 1403, 1404, 1404, 1405, 1405, 1405, 
      1405, 1408, 1408, 1411, 1412, 1413, 1414, 1416, 1416, 1419, 1419, 1419, 1419, 1420, 1420, 1420, 
      1421, 1424, 1424, 1424, 1425, 1425, 1425, 1425, 1425, 1425, 1426, 1427, 1427, 1427, 1427, 1428, 
      1430, 1431, 1433, 1433, 1433, 1436, 1436, 1436, 1440, 1443, 1444, 1444, 1448, 1448, 1448, 1448, 
      1448, 1454, 1457, 1457, 1458, 1458, 1459, 1459, 1460, 1462, 1463, 1465, 1465, 1467, 1467, 1469, 
      1472, 1472, 1472, 1476, 1480, 1480, 1481, 1482, 1485, 1492, 1495, 1495, 1496, 1496, 1496, 1496, 
      1496, 1496, 1497, 1499, 1499, 1500, 1510, 1512, 1512, 1512, 1513, 1513, 1516, 1520, 1520, 1520, 
      1521, 1525, 1527, 1527, 1527, 1528, 1528, 1528, 1529, 1534, 1534, 1534, 1534, 1534, 1534, 1534, 
      1539, 1542, 1542, 1542, 1542, 1542, 1543, 1544, 1545, 1546, 1546, 1548, 1551, 1554, 1554, 1554, 
      1559, 1560, 1560, 1561, 1562, 1564, 1565, 1566, 1566, 1566, 1568, 1568, 1573, 1573, 1576, 1576, 
      1576, 1576, 1576, 1576, 1579, 1579, 1579, 1579, 1579, 1582, 1583, 1588, 1588, 1588, 1588, 1588, 
      1588, 1588, 1589, 1590, 1590, 1592, 1592, 1592, 1592, 1592, 1592, 1592, 1594, 1596, 1605, 1605, 
      1605, 1606, 1606, 1607, 1607, 1607, 1607, 1607, 1609, 1610, 1612, 1614, 1614, 1616, 1616, 1619, 
      1619, 1619, 1619, 1619, 1619, 1623, 1623, 1623, 1623, 1626, 1628, 1628, 1631, 1638, 1641, 1646, 
      1646, 1649, 1652, 1652, 1652, 1652, 1652, 1655, 1656, 1658, 1658, 1658, 1660, 1664, 1664, 1668, 
      1668, 1671, 1671, 1674, 1674, 1674, 1674, 1674, 1675, 1675, 1676, 1676, 1677, 1680, 1680, 1680, 
      1680, 1680, 1680, 1687, 1687, 1689, 1690, 1690, 1692, 1692, 1692, 1692, 1692, 1694, 1694, 1695, 
      1695, 1697, 1699, 1699, 1699, 1700, 1704, 1705, 1705, 1705, 1706, 1708, 1708, 1708, 1708, 1710, 
      1713, 1717, 1719, 1720, 1722, 1724, 1727, 1727, 1727, 1727, 1727, 1727, 1728, 1729, 1732, 1734, 
      1734, 1738, 1738, 1738, 1738, 1738, 1740, 1743, 1743, 1743, 1743, 1743, 1748, 1748, 1750, 1750, 
      1750, 1755, 1755, 1758, 1759, 1760, 1760, 1760, 1760, 1760, 1760, 1760, 1763, 1763, 1766, 1768, 
      1768, 1768, 1768, 1768, 1768, 1770, 1770, 1770, 1771, 1771, 1771, 1771, 1774, 1775, 1776, 1776, 
      1779, 1779, 1785, 1785, 1787, 1790, 1790, 1790, 1790, 1790, 1791, 1792, 1792, 1793, 1793, 1797, 
      1797, 1797, 1799, 1801, 1801, 1802, 1804, 1804, 1805, 1808, 1810, 1810, 1810, 1810, 1815, 1815, 
      1815, 1818, 1818, 1818, 1818, 1818, 1819, 1820, 1821, 1822, 1822, 1822, 1822, 1822, 1822, 1822, 
      1823, 1823, 1823, 1827, 1827, 1827, 1827, 1829, 1829, 1829, 1831, 1832, 1833, 1833, 1834, 1837, 
      1840, 1840, 1840, 1841, 1842, 1847, 1847, 1849, 1849, 1849, 1854, 1855, 1856, 1856, 1856, 1856, 
      1856, 1857, 1859, 1860, 1862, 1862, 1862, 1863, 1864, 1869, 1869, 1869, 1870, 1870, 1870, 1876, 
      1876, 1878, 1878, 1878, 1880, 1880, 1880, 1886, 1887, 1889, 1889, 1891, 1891, 1891, 1891, 1891, 
      1893, 1893, 1893, 1893, 1893, 1896, 1898, 1900, 1900, 1900, 1900, 1900, 1900, 1901, 1901, 1902, 
      1902, 1902, 1902, 1902, 1902, 1904, 1905, 1906, 1906, 1910, 1910, 1910, 1910, 1910, 1911, 1914, 
      1917, 1918, 1919, 1920, 1920, 1922, 1924, 1927, 1927, 1927, 1928, 1928, 1929, 1932, 1932, 1934, 
      1934, 1935, 1935, 1935, 1937, 1938, 1938, 1939, 1939, 1939, 1940, 1942, 1947, 1947, 1948, 1948, 
      1948, 1954, 1955, 1958, 1962, 1962, 1962, 1967, 1967, 1967, 1967, 1967, 1969, 1969, 1969, 1970, 
      1970, 1972, 1972, 1972, 1976, 1977, 1978, 1978, 1978, 1978, 1978, 1979, 1980, 1982, 1982, 1982, 
      1982, 1982, 1983, 1983, 1983, 1984, 1984, 1984, 1985, 1990, 1990, 1990, 1991, 1991, 1991, 1991, 
      1992, 1992, 1992, 1992, 1995, 1995, 1995, 1995, 1995, 1997, 1998, 1998, 1999, 2000, 2000, 2000, 
      2001, 2001, 2001, 2001, 2001, 2001, 2001, 2002, 2002, 2003, 2003, 2003, 2005, 2005, 2005, 2005, 
      2005, 2009, 2011, 2011, 2011, 2011, 2011, 2012, 2012, 2012 ] ]