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      2333, 2396, 2433 ], [ 3, 3, 4, 5, 8, 9, 10, 10, 13, 15, 16, 16, 16, 18, 20, 20, 21, 22, 24, 24, 
      24, 25, 25, 29, 29, 31, 34, 34, 35, 36, 36, 37, 37, 38, 39, 41, 43, 44, 46, 46, 47, 48, 48, 49, 
      50, 51, 52, 54, 55, 56, 57, 58, 60, 61, 61, 63, 64, 64, 65, 67, 67, 69, 70, 72, 74, 74, 74, 76, 
      77, 78, 79, 80, 81, 81, 82, 83, 84, 86, 86, 86, 87, 88, 89, 91, 91, 92, 93, 94, 95, 95, 96, 97, 
      98, 99, 101, 101, 103, 104, 105, 105, 106, 108, 113, 117, 117, 118, 120, 120, 125, 126, 127, 127, 
      127, 130, 130, 131, 133, 135, 137, 137, 138, 139, 139, 141, 141, 142, 143, 145, 145, 147, 147, 
      148, 149, 150, 150, 152, 152, 154, 155, 155, 158, 158, 158, 159, 161, 162, 164, 164, 165, 167, 
      169, 170, 171, 171, 171, 172, 174, 174, 176, 176, 177, 177, 178, 178, 178, 179, 180, 180, 180, 
      181, 182, 183, 183, 183, 185, 186, 186, 186, 187, 188, 188, 189, 190, 190, 193, 193, 196, 198, 
      198, 200, 201, 201, 202, 203, 203, 205, 208, 209, 209, 211, 212, 214, 215, 215, 216, 216, 217, 
      217, 218, 221, 221, 221, 222, 224, 226, 226, 227, 227, 228, 230, 231, 232, 233, 235, 235, 235, 
      236, 238, 239, 240, 240, 240, 242, 242, 244, 246, 246, 247, 247, 249, 250, 252, 253, 254, 256, 
      256, 257, 258, 260, 260, 261, 261, 265, 269, 271, 272, 274, 275, 276, 277, 280, 281, 283, 283, 
      284, 288, 289, 291, 291, 292, 292, 293, 295, 295, 295, 297, 298, 300, 300, 302, 302, 304, 305, 
      305, 306, 306, 307, 308, 308, 309, 309, 311, 312, 312, 312, 313, 313, 314, 315, 316, 317, 318, 
      318, 318, 319, 320, 322, 322, 323, 323, 323, 326, 328, 328, 331, 332, 333, 333, 334, 336, 337, 
      340, 343, 343, 343, 344, 344, 344, 345, 346, 346, 348, 351, 351, 355, 358, 360, 361, 362, 362, 
      364, 364, 365, 367, 368, 369, 371, 372, 372, 373, 374, 375, 377, 378, 378, 378, 382, 384, 384, 
      385, 385, 385, 388, 390, 392, 393, 393, 394, 395, 397, 397, 398, 400, 400, 401, 403, 406, 407, 
      407, 407, 409, 410, 411, 411, 414, 415, 416, 416, 418, 418, 419, 420, 420, 423, 423, 424, 424, 
      425, 427, 430, 430, 431, 432, 433, 433, 433, 435, 435, 437, 439, 440, 441, 445, 446, 447, 447, 
      447, 449, 451, 451, 452, 452, 454, 454, 455, 456, 457, 457, 458, 460, 460, 460, 461, 462, 463, 
      463, 464, 466, 467, 469, 470, 473, 473, 475, 475, 475, 478, 481, 483, 484, 484, 484, 485, 486, 
      486, 488, 489, 490, 490, 491, 491, 492, 493, 494, 496, 496, 498, 498, 501, 504, 504, 506, 507, 
      507, 509, 509, 509, 510, 510, 511, 512, 512, 512, 513, 513, 514, 515, 516, 516, 516, 519, 520, 
      521, 523, 524, 525, 527, 527, 527, 530, 530, 531, 531, 534, 534, 534, 535, 536, 537, 539, 539, 
      540, 540, 540, 541, 542, 546, 546, 550, 551, 551, 552, 554, 556, 557, 558, 558, 560, 560, 562, 
      562, 565, 565, 566, 567, 568, 568, 569, 570, 571, 572, 573, 573, 575, 576, 577, 578, 578, 579, 
      579, 579, 580, 580, 581, 582, 583, 583, 583, 584, 585, 586, 587, 587, 589, 591, 592, 595, 595, 
      596, 598, 598, 599, 600, 601, 602, 602, 604, 604, 605, 605, 606, 607, 610, 612, 612, 612, 613, 
      614, 615, 616, 616, 616, 618, 619, 620, 620, 622, 623, 624, 626, 626, 626, 628, 629, 629, 631, 
      634, 634, 634, 635, 640, 643, 644, 646, 647, 647, 648, 648, 649, 653, 653, 655, 656, 657, 658, 
      659, 660, 661, 662, 663, 663, 665, 666, 666, 666, 667, 669, 669, 670, 672, 672, 673, 675, 676, 
      676, 680, 680, 680, 683, 684, 685, 686, 686, 688, 688, 689, 689, 690, 691, 691, 692, 694, 695, 
      696, 697, 697, 698, 699, 700, 700, 701, 701, 702, 702, 702, 705, 706, 708, 708, 710, 712, 713, 
      714, 714, 716, 718, 720, 720, 721, 722, 722, 722, 724, 724, 724, 727, 728, 729, 730, 731, 732, 
      732, 733, 734, 734, 737, 737, 738, 738, 739, 741, 741, 741, 742, 743, 745, 745, 747, 749, 751, 
      751, 751, 752, 752, 752, 753, 753, 754, 755, 755, 755, 758, 759, 762, 763, 764, 765, 767, 767, 
      768, 770, 771, 772, 774, 775, 775, 775, 777, 778, 778, 779, 780, 781, 782, 782, 784, 784, 785, 
      788, 790, 790, 791, 791, 795, 795, 795, 796, 797, 798, 799, 799, 801, 801, 801, 803, 807, 807, 
      807, 810, 810, 811, 812, 813, 816, 818, 819, 822, 822, 823, 824, 824, 825, 825, 826, 827, 828, 
      830, 831, 833, 833, 833, 837, 837, 841, 842, 843, 844, 845, 847, 847, 848, 849, 851, 851, 851, 
      852, 853, 855, 855, 855, 857, 857, 858, 858, 859, 860, 861, 864, 864, 864, 865, 865, 868, 869, 
      870, 871, 873, 874, 875, 876, 876, 877, 877, 882, 883, 883, 885, 885, 886, 886, 886, 893, 893, 
      893, 895, 896, 896, 897, 898, 899, 901, 903, 904, 905, 905, 906, 908, 909, 910, 911, 912, 912, 
      912, 915, 915, 917, 918, 918, 918, 919, 919, 920, 921, 922, 922, 923, 923, 924, 925, 926, 928, 
      930, 930, 932, 932, 934, 934, 936, 936, 937, 938, 939, 944, 944, 946, 946, 946, 947, 947, 949, 
      949, 949, 950, 955, 955, 957, 958, 959, 961, 961, 961, 962, 964, 964, 966, 967, 970, 970, 970, 
      971, 972, 973, 974, 975, 975, 977, 978, 980, 981, 981, 983, 984, 985, 986, 986, 987, 987, 988, 
      989, 990, 990, 991, 993, 994, 994, 994, 995, 995, 997, 997, 997, 999, 1001, 1002, 1003, 1004, 
      1006, 1007, 1007, 1007, 1011, 1011, 1011, 1013, 1014, 1016, 1017, 1018, 1020, 1020, 1021, 1022, 
      1024, 1025, 1025, 1026, 1026, 1027, 1027, 1028, 1030, 1030, 1031, 1031, 1032, 1032, 1033, 1034, 
      1034, 1035, 1038, 1039, 1039, 1042, 1042, 1043, 1044, 1044, 1045, 1045, 1047, 1048, 1050, 1050, 
      1051, 1053, 1054, 1055, 1056, 1056, 1056, 1057, 1058, 1058, 1061, 1062, 1063, 1063, 1063, 1065, 
      1069, 1070, 1073, 1074, 1076, 1078, 1078, 1079, 1080, 1082, 1083, 1083, 1084, 1085, 1085, 1087, 
      1088, 1090, 1090, 1092, 1094, 1095, 1096, 1096, 1096, 1097, 1097, 1098, 1100, 1100, 1101, 1101, 
      1102, 1102, 1103, 1105, 1105, 1105, 1107, 1108, 1108, 1108, 1109, 1109, 1110, 1110, 1111, 1112, 
      1112, 1114, 1115, 1117, 1118, 1118, 1119, 1120, 1121, 1122, 1123, 1124, 1125, 1127, 1130, 1131, 
      1131, 1132, 1133, 1135, 1135, 1136, 1137, 1138, 1139, 1139, 1140, 1140, 1142, 1143, 1144, 1146, 
      1147, 1148, 1148, 1149, 1151, 1151, 1152, 1152, 1153, 1153, 1157, 1159, 1159, 1159, 1160, 1163, 
      1163, 1164, 1164, 1166, 1166, 1167, 1169, 1170, 1171, 1172, 1172, 1173, 1173, 1175, 1176, 1178, 
      1178, 1179, 1180, 1180, 1182, 1182, 1183, 1186, 1186, 1187, 1187, 1187, 1188, 1188, 1190, 1190, 
      1190, 1192, 1192, 1193, 1193, 1195, 1196, 1196, 1198, 1198, 1201, 1201, 1202, 1205, 1206, 1207, 
      1208, 1208, 1209, 1210, 1211, 1213, 1213, 1214, 1216, 1216, 1217, 1222, 1222, 1224, 1225, 1226, 
      1226, 1227, 1228, 1231, 1234, 1235, 1235, 1236, 1236, 1240, 1240, 1243, 1245, 1247, 1247, 1248, 
      1250, 1250, 1252, 1253, 1253, 1254, 1256, 1257, 1258, 1259, 1259, 1263, 1263, 1264, 1266, 1266, 
      1268, 1268, 1269, 1270, 1271, 1272, 1273, 1274, 1278, 1278, 1279, 1280, 1280, 1280, 1281, 1283, 
      1283, 1286, 1286, 1286, 1287, 1288, 1288, 1290, 1292, 1293, 1293, 1293, 1296, 1296, 1296, 1298, 
      1299, 1299, 1300, 1301, 1302, 1304, 1304, 1305, 1305, 1306, 1307, 1309, 1309, 1311, 1316, 1317, 
      1317, 1317, 1320, 1323, 1324, 1325, 1326, 1326, 1327, 1327, 1327, 1328, 1330, 1331, 1332, 1333, 
      1335, 1335, 1336, 1336, 1337, 1337, 1337, 1339, 1339, 1340, 1340, 1341, 1341, 1342, 1343, 1344, 
      1344, 1345, 1345, 1351, 1353, 1353, 1354, 1355, 1355, 1357, 1357, 1358, 1359, 1359, 1360, 1362, 
      1362, 1363, 1363, 1366, 1366, 1367, 1368, 1368, 1368, 1369, 1371, 1372, 1373, 1373, 1374, 1374, 
      1374, 1376, 1377, 1379, 1380, 1382, 1383, 1383, 1383, 1384, 1385, 1385, 1386, 1388, 1389, 1390, 
      1391, 1392, 1392, 1393, 1396, 1397, 1398, 1399, 1399, 1399, 1401, 1401, 1402, 1402, 1403, 1404, 
      1405, 1405, 1406, 1408, 1408, 1410, 1411, 1411, 1412, 1413, 1413, 1414, 1416, 1417, 1417, 1418, 
      1419, 1419, 1420, 1420, 1421, 1421, 1423, 1423, 1423, 1424, 1427, 1429, 1430, 1433, 1433, 1434, 
      1435, 1435, 1437, 1438, 1439, 1439, 1439, 1441, 1441, 1442, 1442, 1442, 1443, 1444, 1445, 1447, 
      1448, 1448, 1451, 1451, 1451, 1452, 1452, 1452, 1453, 1453, 1455, 1455, 1456, 1456, 1457, 1458, 
      1459, 1461, 1462, 1462, 1463, 1466, 1466, 1466, 1467, 1467, 1469, 1470, 1471, 1472, 1472, 1473, 
      1473, 1474, 1475, 1477, 1478, 1478, 1479, 1482, 1483, 1484, 1486, 1487, 1488, 1490, 1491, 1493, 
      1493, 1494, 1494, 1495, 1497, 1497, 1500, 1501, 1501, 1502, 1504, 1505, 1505, 1507, 1508, 1509, 
      1510, 1510, 1511, 1511, 1512, 1512, 1513, 1513, 1514, 1515, 1515, 1518, 1519, 1519, 1519, 1520, 
      1521, 1522, 1523, 1524, 1525, 1526, 1527, 1529, 1530, 1531, 1533, 1533, 1533, 1534, 1534, 1534, 
      1536, 1536, 1536, 1537, 1539, 1539, 1540, 1540, 1542, 1542, 1543, 1544, 1544, 1544, 1546, 1547, 
      1549, 1550, 1551, 1551, 1552, 1555, 1556, 1557, 1557, 1559, 1560, 1563, 1564, 1565, 1566, 1567, 
      1568, 1568, 1571, 1572, 1573, 1573, 1574, 1575, 1575, 1577, 1578, 1578, 1579, 1580, 1581, 1582, 
      1582, 1583, 1585, 1587, 1587, 1588, 1590, 1590, 1590, 1593, 1593, 1596, 1597, 1599, 1602, 1602, 
      1602, 1604, 1604, 1605, 1606, 1607, 1608, 1608, 1608, 1609, 1609, 1610, 1611, 1613, 1613, 1614, 
      1614, 1616, 1616, 1617, 1617, 1617, 1618, 1619, 1619, 1619, 1620, 1620, 1621, 1622, 1623, 1623, 
      1627, 1627, 1628, 1628, 1629, 1632, 1632, 1632, 1633, 1634, 1637, 1637, 1638, 1638, 1640, 1640, 
      1640, 1641, 1643, 1643, 1646, 1646, 1647, 1647, 1648, 1649, 1650, 1650, 1650, 1651, 1655, 1655, 
      1656, 1657, 1657, 1658, 1659, 1660, 1660, 1661, 1662, 1662, 1663, 1664, 1665, 1665, 1666, 1666, 
      1668, 1669, 1670, 1670, 1671, 1672, 1673, 1673, 1674, 1675, 1675, 1676, 1677, 1677, 1677, 1678, 
      1681, 1683, 1685, 1685, 1685, 1687, 1688, 1691, 1691, 1691, 1692, 1693, 1694, 1696, 1697, 1697, 
      1697, 1699, 1700, 1701, 1701, 1701, 1702, 1702, 1704, 1705, 1705, 1706, 1706, 1707, 1708, 1709, 
      1710, 1711, 1715, 1719, 1719, 1721, 1721, 1723, 1724, 1725, 1726, 1726, 1729, 1730, 1732, 1732, 
      1732, 1733, 1734, 1735, 1735, 1737, 1737, 1738, 1739, 1739, 1740, 1740, 1740, 1742, 1742, 1743, 
      1744, 1745, 1746, 1746, 1746, 1747, 1747, 1749, 1753, 1753, 1754, 1754, 1754, 1755, 1756, 1756, 
      1758, 1760, 1764, 1764, 1765, 1766, 1769, 1770, 1771, 1772, 1773, 1774, 1774, 1774, 1775, 1776, 
      1778, 1779, 1780, 1783, 1784, 1785, 1786, 1786, 1788, 1789, 1789, 1789, 1790, 1791, 1792, 1792, 
      1794, 1795, 1795, 1796, 1797, 1797, 1799, 1800, 1801, 1801, 1802, 1802, 1803, 1804, 1804, 1806, 
      1808, 1808, 1809, 1809, 1814, 1815, 1815, 1817, 1817, 1818, 1818, 1820, 1820, 1821, 1822, 1823, 
      1824, 1825, 1825, 1827, 1827, 1828, 1828, 1828, 1829, 1829, 1832, 1832, 1832, 1834, 1836, 1836, 
      1838, 1839, 1840, 1841, 1843, 1844, 1846, 1846, 1847, 1847, 1849, 1849, 1849, 1852, 1853, 1855, 
      1855, 1859, 1859, 1860, 1864, 1865, 1865, 1866, 1866, 1867, 1867, 1870, 1871, 1871, 1872, 1872, 
      1872, 1875, 1875, 1876, 1877, 1878, 1879, 1880, 1880, 1882, 1882, 1882, 1883, 1887, 1887, 1888, 
      1888, 1888, 1889, 1891, 1892, 1892, 1893, 1895, 1897, 1897, 1898, 1899, 1900, 1901, 1901, 1902, 
      1903, 1907, 1908, 1908, 1909, 1910, 1910, 1911, 1912, 1912, 1913, 1913, 1914, 1915, 1916, 1917, 
      1919, 1920, 1920, 1922, 1923, 1924, 1925, 1925, 1925, 1926, 1926, 1926, 1927, 1927, 1928, 1929, 
      1929, 1929, 1931, 1934, 1935, 1935, 1936, 1938, 1939, 1940, 1940, 1943, 1945, 1945, 1947, 1948, 
      1948, 1948, 1949, 1950, 1952, 1952, 1953, 1954, 1955, 1956, 1956, 1956, 1957, 1957, 1958, 1958, 
      1959, 1960, 1961, 1961, 1963, 1963, 1964, 1964, 1966, 1966, 1966, 1967, 1967, 1968, 1969, 1971, 
      1972, 1973, 1973, 1974, 1974, 1975, 1976, 1977, 1978, 1980, 1983, 1985, 1986, 1990, 1991, 1991, 
      1992, 1992, 1992, 1994, 1995, 1997, 1999, 2000, 2000, 2000, 2001, 2002, 2004, 2004, 2004, 2005, 
      2006, 2006, 2007, 2009, 2010, 2010, 2012, 2012, 2013, 2013, 2013, 2014, 2016, 2018, 2018, 2019, 
      2023, 2025, 2026, 2026, 2027, 2028, 2030, 2031, 2031, 2032, 2033, 2033, 2036, 2036, 2038, 2038, 
      2039, 2039, 2039, 2042, 2043, 2044, 2045, 2045, 2048, 2049, 2050, 2051, 2053, 2053, 2056, 2056, 
      2056, 2057, 2057, 2059, 2060, 2060, 2060, 2061, 2061, 2063, 2064, 2065, 2066, 2067, 2068, 2069, 
      2069, 2070, 2070, 2071, 2072, 2073, 2073, 2074, 2075, 2075, 2076, 2077, 2078, 2078, 2082, 2084, 
      2085, 2085, 2085, 2087, 2087, 2087, 2089, 2089, 2090, 2091, 2098, 2099, 2099, 2099, 2100, 2101, 
      2101, 2102, 2104, 2107, 2107, 2107, 2108, 2109, 2109, 2110, 2110, 2110, 2112, 2112, 2113, 2115, 
      2115, 2116, 2118, 2119, 2121, 2121, 2123, 2124, 2127, 2129, 2130, 2131, 2132, 2135, 2136, 2137, 
      2137, 2140, 2141, 2142, 2142, 2143, 2146, 2147, 2149, 2149, 2150, 2151, 2151, 2152, 2154, 2156, 
      2157, 2159, 2159, 2159, 2163, 2165, 2166, 2166, 2166, 2167, 2167, 2167, 2168, 2169, 2169, 2170, 
      2173, 2173, 2173, 2174, 2178, 2179, 2180, 2180, 2181, 2181, 2181, 2186, 2186, 2188, 2188, 2190, 
      2191, 2191, 2192, 2193, 2199, 2199, 2199, 2200, 2201, 2202, 2203, 2203, 2204, 2206, 2207, 2210, 
      2211, 2211, 2212, 2215, 2215, 2216, 2216, 2217, 2217, 2218, 2219, 2220, 2220, 2223, 2224, 2224, 
      2226, 2226, 2229, 2230, 2230, 2231, 2232, 2233, 2233, 2234, 2234, 2234, 2235, 2239, 2239, 2240, 
      2240, 2241, 2241, 2244, 2246, 2246, 2246, 2249, 2249, 2250, 2250, 2251, 2251, 2251, 2252, 2253, 
      2254, 2256, 2256, 2257, 2257, 2258, 2259, 2259, 2259, 2260, 2261, 2261, 2262, 2264, 2265, 2266, 
      2266, 2266, 2267, 2268, 2268, 2269, 2270, 2270, 2271, 2272, 2272, 2273, 2274, 2275, 2277, 2280, 
      2282, 2283, 2283, 2284, 2284, 2284, 2286, 2286, 2286, 2287, 2288, 2290, 2291, 2291, 2291, 2292, 
      2292, 2293, 2293, 2294, 2295, 2297, 2297, 2299, 2301, 2303, 2306, 2306, 2307, 2308, 2312, 2313, 
      2313, 2316, 2316, 2316, 2317, 2317, 2318, 2318, 2320, 2321, 2322, 2323, 2323, 2324, 2325, 2326, 
      2326, 2326, 2327, 2327, 2328, 2330, 2330, 2330, 2331, 2333, 2336, 2337, 2338, 2339, 2339, 2340, 
      2340, 2341, 2341, 2342, 2344, 2344, 2344, 2345, 2345, 2346, 2349, 2350, 2351, 2355, 2356, 2356, 
      2357, 2358, 2360, 2361, 2363, 2363, 2367, 2370, 2370, 2371, 2372, 2372, 2373, 2375, 2376, 2377, 
      2378, 2378, 2380, 2381, 2381, 2382, 2384, 2385, 2385, 2385, 2387, 2387, 2389, 2389, 2390, 2391, 
      2391, 2392, 2394, 2395, 2395, 2396, 2397, 2398, 2400, 2401, 2401, 2402, 2403, 2403, 2404, 2406, 
      2407, 2408, 2409, 2409, 2410, 2412, 2413, 2413, 2414, 2416, 2416, 2419, 2419, 2421, 2421, 2421, 
      2422, 2422, 2423, 2427, 2428, 2428, 2429, 2430, 2431, 2431, 2433, 2435, 2435, 2437, 2437, 2439, 
      2440, 2441, 2442, 2443, 2447, 2448, 2452, 2452, 2453, 2454, 2455, 2455, 2456, 2457, 2457, 2457, 
      2458, 2458, 2458, 2460, 2460, 2461, 2461, 2463, 2463, 2465, 2465, 2466, 2467, 2471, 2471, 2471, 
      2472, 2473, 2474, 2476, 2477, 2478, 2478, 2480, 2480, 2480, 2481, 2482, 2482, 2484, 2485, 2489, 
      2489, 2491, 2492, 2493, 2493, 2495, 2496, 2497, 2497, 2498, 2498, 2499, 2499, 2499, 2501, 2502, 
      2503, 2506, 2506, 2507, 2509, 2510, 2511, 2512, 2512, 2512, 2513, 2513, 2515, 2516, 2516, 2517, 
      2518, 2519 ] ]