Visible DigitSums
Hello SeqFans,
... here is another re-ordering of the Naturals:
« The digitsum of a(n) is visible in the
smallest a(n+1) not yet present in S »:
S = 1, 10, 11, 2, 12, 3, 13, 4, 14, 5, 15, 6, 16, 7, 17, 8, 18, 9, 19, 100,
21, 23, 25, 27, 29, 111, 30, 31, 24, 26, 28, 101, 20, 22, 34, 37, 102, 32, 35,
38, 112, 40, 41, 45, 49, 113, 50, 51, 46, 103, ...
... this was computed by hand -- and fun to do!
---
BTW:
The 'equivalent'
sequence is much harder to write:
"Digitsum of a(n) is visible in
a(n-1)", or (better), "a(n) shows the digitsum
of the smallest a(n+1) not yet present in T":
T = 1, 10, 19, 9, 18, 8, 17, 7, 16, 6, 15, 5, 14, 4, 13, 3, 12, 2, 11, 29,
20, 101, 28, 26, 24, 22, 110, 37, 21, ...
More headaches
than fun with this one!
Best,
É.
__________
Charles Greathouse quickly answered this (February 22nd, 2010):
110
< 111, so the sequence S
is more like:
S = 1, 10, 11, 2, 12, 3, 13,
4, 14, 5, 15, 6, 16, 7, 17, 8, 18, 9, 19, 100, 21, 23, 25, 27, 29, 110, 20, 22,
24, 26, 28, 101, 32, 35, 38, 111, 30, 31, 34, 37, 102, 33, 36, 39, 112, 40, 41,
45, 49, 113, 50, 51, 46, 103, 42, 56, 114, 60, 61, 47, 115, 57, 120, 43, 67,
130, 44, 48, 121, 54, 59, 140, 52, 70, 71, 58, 131, 53, 68, 141, 62, 78, 150,
63, 69, 151, 72, 79, 116, 80, 81, 89, 117, 90, 91, 104, 55, 105, 64, 106, 73,
107, 82, 108, 92, 118, 109, 210, 83, 119, 211, 74, 311, 65, 411, 66, 122, 75,
123, 76, 132, 86, 142, 77, 143, 84, 124, 87, 152, 85, 133, 97, 160, 127, 310,
94, 134, 88, 161, 98, 170, 128, 511, 137, 611, 138, 125, 148, 135, 93, 126, 95,
144, 96, 153, 99, 180, 129, 212, 145, 410, 154, 510, 136, 610, 147, 312, 146,
711, 139, 213, 156, 412, 157, 313, 167, 149, 214, 171, 159, 155, 811, 710, 158,
314, 168, 215, 178, 162, 169, 163, 810, 179, 172, 910, 1000, 164, 911, 1011,
173, 1100, 182, 1101, 183, 512, 181, 1001, 192, 612, 189, 184, 413, 185, 414,
190, 1002, 193, 513, 191, 1102, 174, 712, 1003, 194, 514, 1004, 165, 812, 1103,
175, 613, 1005, 166, 713, 1104, 176, 614, 1105, 177, 315, 195, 415, 1006, 187,
216, 196, 316, 1007, 186, 515, 1106, ...
... Ooops, indeed, Charles,
thank you for the corrected sequence!
... and thanks to Charles,
this is now A173821
A
nice screen capture (and dynamic plotting page - click here) by Georges Brougnard:
Charles has now computed T too (which is now A173822): « a(n)
shows the digitsum of the smallest a(n+1) not yet
present in T »
T = 1, 10, 19, 9, 18, 8, 17, 7, 16, 6, 15, 5, 14, 4, 13, 3, 12, 2, 11, 29,
20, 101, 28, 26, 24, 22, 110, 37, 21, 100, 46, 31, 30, 102, 55, 23, 111, 38,
35, 32, 120, 39, 27, 25, 41, 40, 103, 64, 33, 201, 200, 299, 36, 42, 112, 47,
34, 121, 48, 44, 130, 49, 45, 50, 104, 73, 43, 202, ...
And again, here is
a screen capture taken from Georges Brougnard’s
dynamic plotting page:
__________
Another
challenge would be to compute U – an extension of the T-sequence concept:
"Start U with 1, 2. Now a(n) must show the digitsum of
[a(n+1) + a(n+2)]. Always use the smallest integer not yet present in U"
As far as I get, U looks like this :
U = 1, 2, 8, 3, 5, 7, 16,
9, ...
Could it be that this is a re-ordering of the
Naturals?
__________
... Well yes, it is – and Charles has stricken again! With this beautiful list of the first
10000 terms of U
(now A173823 in Neil’s database) - plot of first 100 terms by Georges Brougnard, as before (nice plot
of 1000 terms at bottom of page):
U = 1, 2,
8, 3, 5, 7, 16, 9, 6, 12, 21, 18, 82, 17, 27, 25, 36, 14, 10, 30, 34, 68, 35,
45, 57, 46, 4, 11, 20, 54, 47, 56, 50, 55, 49, 64, 26, 77, 24, 19, 84, 33, 29,
73, 28, 15, 38, 31, 13, 87, 52, 63, 41, 61, 39, 66, 42, 72, 40, 70, 51, 91, 22,
23, 78, 32, 48, 53, 59, 43, 65, 37, 67, 44, 62, 140, 60, 89, 115, 92, 76, 86,
74, 58, 75, 95, 108, 99, 71, 100, 105, 85, 69, 83, 79, 122, 94, 80, 127, 88,
104, 102, 106, 111, 93, 98, 103, 112, 96, 113, 109, 101, 107, 110, 116, 119, 90,
81, 126, 125, 97, 124, 117, 120, 121, 134, 130, 135, 139, 144, 148, 118, 133,
146, 128, 129, 131, 142, 114, 143, 123, 152, 157, 137, 165, 154, 132, 153, 147,
138, 155, 145, 149, 161, 163, 158, 172, 151, 136, 166, 162, 141, 171, 167, 164,
176, 173, 186, 182, 150, 191, 175, 185, 174, 195, 200, 160, 229, 156, 159, 180,
168, 201, 184, 205, 199, 190, 170, 181, 178, 209, 177, 183, 194, 193, 204, 210,
179, 220, 192, 197, 208, 189, 215, 198, 203, 202, 187, 211, 219, 188, 217, 196,
207, 213, 266, 206, 214, 265, 224, 276, 223, 278, 221, 281, 218, 222, 237, 262,
240, 261, 438, 461, 249, 252, 270, 230, 272, 327, 274, 228, 283, 216, 287, 242,
260, 439, 460, 251, 169, 232, 225, 374, 305, 296, 706, 295, 306, 234, 267, 332,
268, 733, 256, 246, 254, 247, 253, 258, 541, 259, 241, 263, 436, 463, 539, 464,
238, 362, 336, 264, 738, 285, 226, 277, 233, 269, 330, 273, 729, 282, 231, 290,
309, 294, 318, 303, 227, 775, 235, 366, 323, 679, 280, 320, 291, 368, 244, 257,
442, 357, 644, 358, 645, 359, 646, 356, 647, 355, 245, 255, 444, 445, 558, 446,
354, 649, 353, 250, 752, 236, 275, 324, 286, 413, 288, 292, 310, 212, 239, 304,
299, 703, 298, 312, 300, 243, 759, 271, 339, 361, 341, 659, 343, 377, 625, 381,
418, 382, 284, 417, 293, 308, 313, 289, 345, 365, 637, 367, 333, 669, 342, 279,
722, 302, 386, 615, 387, 321, 379, 317, 383, 363, 248, 352, 347, 654, 348, 655,
370, 634, 372, 630, 371, 631, 369, 633, 375, 627, 384, 316, 385, 297, 314, 307,
301, 399, 601, 401, 599, 404, 397, 606, 396, 609, 393, 408, 402, 398, 603, 405,
597, 406, 395, 608, 394, 611, 391, 322, 380, 389, 411, 390, 350, 451, 551, 449,
555, 448, 556, 447, 557, 455, 549, 454, 550, 453, 560, 443, 561, 441, 559, 462,
542, 459, 544, 468, 535, 470, 532, 471, 530, 473, 529, 474, 426, 577, 412, 592,
311, 319, 331, 435, 565, 437, 567, 457, 547, 456, 548, 465, 335, 668, 334, 376,
626, 388, 511, 491, 420, 480, 458, 545, 467, 536, 469, 533, 472, 568, 433, 571,
431, 569, 434, 466, 537, 475, 527, 476, 523, 482, 315, 485, 340, 663, 349, 653,
364, 638, 373, 328, 674, 337, 666, 484, 521, 486, 489, 514, 493, 421, 479, 415,
588, 416, 591, 325, 575, 422, 582, 403, 598, 414, 590, 351, 360, 640, 392, 613,
407, 326, 677, 346, 660, 450, 564, 440, 563, 737, 483, 519, 488, 494, 509, 499,
505, 498, 506, 497, 507, 496, 508, 495, 512, 492, 429, 572, 481, 520, 487, 478,
525, 490, 610, 425, 580, 423, 581, 378, 622, 430, 528, 502, 538, 562, 553, 452,
552, 578, 432, 574, 427, 576, 524, 500, 501, 503, 510, 593, 515, 516, 543, 400,
602, 410, 595, 477, 531, 583, 419, 585, 517, 526, 409, 589, 428, 579, 424, 584,
518, 504, 566, 546, 594, 607, 513, 600, 619, 683, 596, 604, 616, 587, 329, 675,
540, 573, 628, 522, 618, 692, 586, 554, 570, 632, 671, 730, 672, 658, 662, 639,
681, 534, 617, 684, 636, 605, 697, 344, 661, 1340, 664, 338, 665, 648, 753,
650, 651, 749, 652, 678, 623, 680, 721, 682, 621, 620, 691, 629, 673, 641, 670,
731, 689, 614, 688, 612, 690, 711, 693, 709, 695, 635, 667, 643, 687, 624, 696,
705, 699, 701, 700, 702, 718, 783, 719, 782, 686, 716, 685, 708, 704, 698, 713,
717, 694, 726, 714, 786, 715, 785, 724, 676, 735, 765, 736, 764, 656, 745, 755,
746, 854, 1148, 855, 707, 723, 778, 642, 760, 740, 761, 839, 1165, 836, 710,
720, 712, 757, 744, 766, 834, 1170, 831, 725, 777, 823, 1182, 767, 657, 754,
747, 763, 837, 1164, 841, 732, 770, 830, 1175, 826, 739, 772, 758, 743, 768,
742, 769, 741, 762, 748, 852, 848, 1152, 850, 776, 825, 1179, 790, 751, 750,
1253, 779, 727, 774, 1125, 877, 728, 773, 827, 1174, 815, 789, 756, 844, 1159,
843, 788, 813, 787, 814, 796, 784, 816, 794, 734, 866, 1135, 869, 771, 840,
1183, 819, 791, 803, 797, 804, 798, 812, 799, 802, 800, 801, 809, 792, 810,
891, 811, 889, 832, 868, 1132, 872, 833, 867, 1134, 870, 781, 820, 780, 806,
795, 905, 805, 896, 1107, 897, 824, 876, 822, 878, 818, 882, 846, 1154, 857,
859, 1144, 862, 808, 793, 817, 884, 807, 893, 1112, 894, 828, 873, 1126, 875,
829, 871, 929, 1076, 924, 886, 902, 1102, 898, 903, 1103, 904, 906, 1096, 908,
892, 1114, 901, 910, 890, 821, 879, 888, 912, 1094, 913, 887, 845, 1160, 842,
861, 1139, 865, 838, 1166, 835, 895, 1106, 900, 911, 1105, 920, 881, 858, 1157,
849, 863, 847, 853, 1149, 951, 851, 949, 1054, 948, 952, 1050, 950, 860, 940,
1064, 938, 962, 1039, 961, 939, 1065, 936, 874, 926, 1079, 909, 991, 1016,
1000, 915, 985, 947, 1056, 946, 864, 1138, 922, 880, 969, 1037, 967, 933, 1071,
930, 970, 1031, 974, 1027, 975, 925, 1078, 918, 883, 899, 1111, 914, 987, 917,
1088, 919, 981, 856, 944, 1059, 943, 957, 1044, 959, 941, 1062, 945, 955, 1047,
956, 1046, 958, 942, 1061, 964, 1040, 971, 1049, 965, 935, 1068, 953, 1051,
979, 921, 1084, 916, 885, 931, 1072, 980, 1020, 986, 960, 1053, 954, 1058, 963,
937, 1067, 934, 966, 1035, 972, 928, 1077, 923, 977, 990, 1015, 992, 1011, 989,
1019, 988, 984, 1022, 993, 907, 1100, 932, 968, 1032, 983, 1017, 998, 927,
1080, 1024, 982, 995, 1005, 1002, 1001, 999, 1009, 1007, 1010, 1004, 1013,
1097, 1003, 1014, 994, 1008, 1012, 996, 1021, 1082, 1025, 1026, 1018, 1085,
1029, 997, 1028, 1006, 1036, 1089, 973, 1033, 1073, 1034, 976, 1041, 1063,
1038, 1042, 1074, 1060, 1083, 1069, 1045, 1070, 1055, 1052, 978, 1030, 1075,
1086, 1048, 1023, 1057, 1043, 1091, 1109, 1115, 1090, 1081, 1124, 1098, 1092,
1113, 1093, 1087, 1118, 1095, 1101, 1104, 1066, 1140, 1120, 1099, 1108, 1116, 1117,
1122, 1121, 1123, 1129, 1133, 1110, 1142, 1119, 1127, 1143, 1128, 1136, 1167,
1141, 1161, 1130, 1131, 1150, 1156, 1163, 1137, 1147, 1155, 1151, 1168, 1169,
1146, 1158, 1178, 1173, 1184, 1176, 1145, 1188, 1172, 1177, 1162, 1153, 1171,
1180, 1186, 1181, 1195, 1190, 1187, 1199, 1202, 1193, 1185, 1192, 1210, 1204,
1200, 1196, 1191, 1209, 1194, 1212, 1211, 1213, 1201, 1205, 1219, 1214, 1189,
1208, 1197, 1218, 1203, 1217, 1198, 1226, 1206, 1227, 1215, 1236, 1224, 1265,
1223, 1228, 1232, 1247, 1242, 1257, 1248, 1252, 1249, 1256, 1243, 1262, 1237,
1268, 1221, 1230, 1239, 1250, 1255, 1259, 1246, 1274, 1225, 1235, 1207, 1244,
1216, 1283, 1222, 1220, 1231, 1229, 1260, 1245, 1269, 1254, 1251, 1263, 1278,
1272, 1233, 1267, 1238, 1276, 1234, 1266, 1275, 1329, 1284, 1240, 1261, 1271,
1270, 1280, 1324, 1289, 1300, 1241, 1292, 1258, 1343, 1279, 1281, 1320, 1293,
1301, 1303, 1302, 1312, 1311, 1294, 1309, 1295, 1306, 1298, 1307, 1297, 1308,
1296, 1264, 1277, 1273, 1331, 1282, 1323, 1290, 1315, 1286, 1285, 1319, 1321,
1317, 1288, 1326, 1287, 1318, 1304, 1310, 1313, 1328, 1322, 1382, 1349, 1355,
1345, 1305, 1327, 1314, 1291, 1332, 1299, 1333, 1367, 1337, 1376, 1346, 1358,
1364, 1439, 1373, 1341, 1363, 1350, 1354, 1359, 1372, 1368, 1336, 1377, 1426,
1386, 1403, 1400, 1404, 1409, 1395, 1418, 1385, 1338, 1366, 1347, 1357, 1356,
1348, 1365, 1339, 1374, 1330, 1383, 1420, 1392, 1391, 1412, 1490, 1411, 1393,
1408, 1413, 1427, 1394, 1405, 1335, 1316, 1325, 1379, 1334, 1370, 1352, 1361,
1442, 1388, 1344, 1360, 1353, 1351, 1362, 1342, 1371, 1369, 1434, 1378, 1435,
1467, 1436, 1476, 1445, 1458, 1454, 1449, 1463, 1440, 1472, 1431, 1481, 1422,
1499, 1430, 1401, 1421, 1410, 1419, 1381, 1423, 1380, 1397, 1406, 1415, 1389,
1416, 1387, 1417, 1485, 1448, 1455, 1457, 1446, 1466, 1437, 1475, 1428, 1484,
1505, 1398, 1407, 1396, 1444, 1556, 1473, 1529, 1471, 1433, 1470, 1451, 1452,
1460, 1443, 1469, 1461, 1540, 1390, 1424, 1478, 1399, 1414, 1488, 1513, 1492,
1508, 1493, 1429, 1375, 1438, 1464, 1536, 1465, 1535, 1468, 1532, 1480, 1520,
1494, 1487, 1425, 1496, 1506, 1495, 1507, 1503, 1501, 1510, 1538, 1384, 1547,
1453, 1548, 1462, 1539, 1482, 1518, 1483, 1519, 1402, 1479, 1522, 1491, 1447,
1456, 1474, 1527, 1477, 1502, 1511, 1500, 1517, 1531, 1489, 1550, 1497, 1514,
1515, 1486, 1516, 1498, 1504, 1525, 1523, 1534, 1432, 1568, 1524, 1526, 1441,
1528, 1537, 1564, 1546, 1554, 1512, 1545, 1509, 1530, 1521, 1563, 1566, 1544,
1459, 1542, 1541, 1543, 1557, 1553, 1559, 1551, 1533, 1560, 1569, 1578, 1572,
1450, 1552, 1549, 1561, 1562, 1558, 1571, 1567, 1580, 1576, 1555, 1565, 1573,
1574, 1582, 1583, 1591, 1592, 1600, 1604, 1589, 1577, 1570, 1586, 1579, 1595,
1588, 1612, 1607, 1594, 1581, 1575, 1590, 1584, 1599, 1593, 1611, 1602, 1608,
1585, 1616, 1587, 1597, 1603, 1601, 1609, 1620, 1618, 1629, 1627, 1613, 1598,
1610, 1621, 1617, 1630, 1626, 1639, 1635, 1596, 1605, 1614, 1615, 1623, 1606,
1632, 1624, 1641, 1633, 1650, 1642, 1658, 1625, 1622, 1634, 1631, 1643, 1640,
1652, 1648, 1644, 1656, 1636, 1638, 1645, 1647, 1653, 1657, 1662, 1666, 1671,
1675, 1680, 1684, 1689, 1693, 1619, 1628, 1637, 1646, 1654, 1665, 1663, 1674,
1672, 1683, 1681, 1692, 1690, 1701, 1708, 1711, 1699, 1651, 1649, 1670, 1660,
1659, 1669, 1661, 1667, 1679, 1676, 1688, 1685, 1697, 1694, 1706, 1696, 1678,
1668, 1687, 1677, 1705, 1686, 1714, 1695, 1712, 1715, 1704, 1713, 1724, 1682,
1710, 1691, 1709, 1655, 1719, 1717, 1702, 1698, 1721, 1733, 1722, 1742, 1727,
1673, 1746, 1726, 1720, 1735, 1723, 1732, 1741, 1750, 1759, 1768, 1777, 1786,
1795, 1813, 1787, 1664, 1728, 1744, 1729, 1753, 1738, 1771, 1747, 1762, 1756,
1780, 1765, 1789, 1774, 1736, 1737, 1700, 1755, 1718, 1764, 1745, 1773, 1754,
1782, 1763, 1791, 1772, 1800, 1781, 1783, 1798, 1792, 1808, 1809, 1818, 1827,
1836, 1845, 1863, 1854, 1872, 1881, 1890, 1917, 1899, 1810, 1790, 1730, 1707,
1739, 1716, 1703, 1725, 1748, 1734, 1757, 1752, 1766, 1743, 1775, 1761, 1784,
1770, 1793, 1779, 1731, 1751, 1740, 1769, 1749, 1760, 1758, 1778, 1767, 1796,
1776, 1805, 1785, 1788, 1802, 1806, 1803, 1815, 1794, 1797, 1811, 1824, 1812,
1833, 1821, 1842, 1830, 1851, 1839, 1869, 1848, 1860, 1857, 1878, 1866, 1887,
1875, 1896, 1884, 1923, 1893, 1816, 1820, 1807, 1822, 1814, 1804, 1801, 1817,
1819, 1799, 1828, 1825, 1829, 1834, 1838, 1843, 1847, 1861, 1856, 1852, 1865,
1870, 1874, 1879, 1883, 1888, 1892, 1915, 1901, 1826, 1910, 1897, 1911, 1905,
1831, 1914, 1902, 1906, 1920, 1924, 1840, 1919, 1933, 1929, 1942, 1938, 1969,
1947, 1960, 1956, 1951, 1965, 1978, 1974, 1987, 1983, 2020, 1932, 1823, 1832,
1849, 1841, 1867, 1850, 1858, 1859, 1876, 1868, 1885, 1877, 1894, 1886, 1921, 1895,
1913, 1903, 1908, 1837, 1926, 1935, 1844, 1928, 1996, 1992, 2010, 1995, 1922,
1904, 1835, 1937, 2005, 1998, 1946, 1862, 1955, 2047, 1954, 1855, 1953, 1962,
1846, 1944, 1971, 1864, 1980, 2022, 1912, 2007, 1873, 1882, 1853, 1891, 1871,
1900, 1880, 1964, 2040, 1930, 2014, 1985, 1941, 1939, 1968, 1948, 1959, 1957,
1950, 1966, 1977, 1975, 1986, 1984, 2018, 1889, 1918, 1898, 1909, 1907, 1973,
1934, 1982, 1925, 1991, 1916, 2000, 1931, 2004, 2001, 1943, 2019, 1981, 1927,
1989, 1936, 2016, 1945, 1963, 2037, 2013, 1940, 1961, 2009, 1952, 2028, 2041,
1972, 1990, 2015, 1999, 2002, 2003, 2076, 2012, 2008, 2027, 2052, 2036, 2043,
2045, 2034, 1967, 2033, 1970, 2109, 1993, 1979, 2026, 1988, 2023, 2017, 2062,
2032, 2056, 2113, 1997, 2021, 1949, 2031, 2038, 2050, 2029, 2059, 2054, 2025,
1976, 2103, 2065, 2024, 2055, 2042, 2046, 2051, 2118, 2060, 2035, 2044, 2053,
2116, 2071, 2030, 2049, 2039, 2011, 1994, 2058, 2064, 1958, 2121, 2074, 2006,
2073, 2096, 2082, 2087, 2091, 2078, 2100, 2069, 2063, 2068, 2101, 2077, 2102,
2067, 2083, 2086, 2092, 2095, 2108, 2061, 2080, 2089, 2098, 2104, 2099, 2105,
2107, 2072, 2048, 2130, 2057, 2114, 2145, 2081, 2127, 2075, 2122, 2079, 2110,
2093, 2111, 2085, 2066, 2112, 2084, 2131, 2128, 2088, 2123, 2097, 2136, 2094,
2106, 2090, 2132, 2154, 2115, 2139, 2070, 2133, 2126, 2117, 2125, 2140, 2120,
2124, 2135, 2134, 2144, 2143, 2119, 2150, 2137, 2141, 2129, 2142, 2160, 2147,
2149, 2138, 2158, 2148, 2153, 2157, 2151, 2166, 2169, 2167, 2178, 2176, 2152,
2185, 2159, 2170, 2156, 2163, 2172, 2146, 2173, 2161, 2194, 2165, 2155, 2181,
2187, 2190, 2175, 2164, 2182, 2177, 2179, 2180, 2184, 2193, 2199, 2196, 2188,
2171, 2197, 2162, 2186, 2168, 2191, 2195, 2189, 2204, 2206, 2233, 2215, 2244,
2205, 2254, 2203, 2256, 2183, 2213, 2224, 2208, 2251, 2217, 2242, 2207, 2252,
2214, 2245, 2222, 2174, 2285, 2200, 2259, 2198, 2201, 2192, 2202, 2227, 2212,
2247, 2211, 2248, 2210, 2249, 2209, 2250, 2216, 2243, 2219, 2240, 2218, 2241,
2223, 2236, 2232, 2237, 2231, 2228, 2258, 2291, 2267, 2282, 2276, 2273, 2294,
2255, 2303, 2246, 2313, 2263, 2268, 2281, 2277, 2272, 2286, 2290, 2295, 2299,
2340, 2308, 2260, 2317, 2322, 2264, 2304, 2335, 2314, 2344, 2269, 2326, 2331,
2318, 2349, 2300, 2358, 2309, 2367, 2327, 2412, 2336, 2266, 2221, 2238, 2220,
2239, 2229, 2230, 2265, 2284, 2274, 2275, 2283, 2293, 2292, 2257, 2301, 2278,
2371, 2376, 2363, 2385, 2354, 2394, 2345, 2403, 2372, 2287, 2362, 2337, 2312,
2346, 2321, 2328, 2310, 2339, 2261, 2226, 2323, 2235, 2234, 2225, 2253, 2296,
2262, 2305, 2271, 2288, 2270, 2279, 2297, 2302, 2355, 2330, 2319, 2348, 2306,
2280, 2315, 2324, 2325, 2333, 2316, 2342, 2307, 2351, 2298, 2360, 2369, 2289,
2378, 2387, 2352, 2396, 2343, 2405, 2334, 2361, 2414, 2370, 2379, 2450, 2388,
2397, 2432, 2406, 2433, 2415, 2424, 2442, 2451, 2478, 2460, 2469, 2487, 2496,
2506, 2423, 2426, 2332, 2347, 2311, 2338, 2320, 2329, 2353, 2341, 2398, 2350,
2389, 2359, 2380, 2368, 2407, 2377, 2381, 2448, 2390, 2386, 2443, 2395, 2399,
2430, 2408, 2431, 2417, 2422, 2383, 2364, 2375, 2373, 2366, 2382, 2357, 2391,
2384, 2400, 2393, 2356, 2392, 2365, 2374, 2401, 2428, 2411, 2437, 2402, 2446,
2420, 2419, 2416, 2409, 2404, 2435, 2413, 2444, 2440, 2453, 2476, 2462, 2467,
2471, 2458, 2480, 2449, 2489, 2485, 2498, 2494, 2509, 2429, 2438, 2410, 2447,
2482, 2456, 2473, 2465, 2464, 2474, 2455, 2483, 2491, 2492, 2500, 2504, 2795,
2594, 2507, 2441, 2516, 2683, 2436, 2459, 2425, 2468, 2461, 2477, 2452, 2486,
2470, 2495, 2434, 2513, 2479, 2421, 2418, 2427, 2439, 2445, 2484, 2454, 2475,
2463, 2466, 2472, 2457, 2481, 2493, 2490, 2502, 2511, 2788, 2515, 2488, 2505,
2525, 2774, 2615, 2585, 2497, 2503, 2499, 2501, 2512, 2787, 2517, 2584, 2526,
2576, 2524, 2577, 2622, 2578, 2520, 2510, 2559, 2545, 2558, 2741, 2648, 2552,
2548, 2751, 2549, 2561, 2542, 2757, 2632, 2568, 2532, 2570, 2729, 2660, 2540,
2560, 2739, 2650, 2550, 2849, 2630, 2571, 2529, 2572, 2531, 2579, 2720, 2581,
2587, 2533, 2569, 2730, 2580, 2521, 2590, 2588, 2614, 2596, 2530, 2573, 2726,
2663, 2537, 2563, 2538, 2562, 2639, 2750, 2551, 2649, 2740, 2659, 2541, 2589,
2710, 2591, 2519, 2593, 2528, 2575, 2527, 2574, 2536, 2565, 2535, 2764, 2625,
2874, 2605, 2595, 2804, 2675, 2924, 2655, 2544, 2556, 2743, 2646, 2554, 2546,
2753, 2636, 2564, 2835, 2644, 2557, 2543, 2567, 2732, 2657, 2842, 2647, 2653,
2547, 2553, 2746, 2643, 2856, 2633, 2667, 2822, 2676, 2534, 2566, 2733, 2656,
2843, 2736, 2863, 2735, 2864, 2635, 2665, 2734, 2755, 2744, 2845, 2654, 2945,
2634, 2586, 2514, 2597, 2583, 2518, 2602, 2555, 2844, 2725, 2964, 2623, 2678,
2601, 2599, 2800, 2598, 2522, 2508, 2671, 2539, 2661, 2638, 2761, 2728, 2771, 2818,
2681, 2611, 2689, 2641, 2669, 2820, 2759, 2607, 2523, 2677, 2620, 2779, 2668,
2642, 2658, 2831, 2748, 2851, 2738, 2861, 2737, 2862, 2637, 2962, 2617, 2603,
2616, 2783, 2624, 2875, 2612, 2688, 2652, 2747, 2742, 2847, 2832, 2767, 2922,
2766, 2629, 2870, 2619, 2582, 2666, 2723, 2775, 2621, 2878, 2606, 2604, 2885,
2613, 2687, 2618, 2592, 2609, 2690, 2709, 2691, 2610, 2700, 2699, 2890, 2608,
2692, 2707, 2693, 2806, 2773, 2826, 2673, 2627, 2772, 2717, 2782, 2626, 2674,
2815, 2854, 2651, 2948, 2631, 2670, 2819, 2679, 2686, 2713, 2776, 2628, 2871,
2708, 2891, 2698, 2702, 2697, 2802, 2696, 2903, 2685, 2715, 2684, 2722, 2857,
2682, 2917, 2662, 2701, 2797, 2792, 2887, 2711, 2888, 2712, 2977, 2801, 2898,
2791, 2808, 2781, 2908, 2780, 2919, 2760, 2640, 2859, 2810, 2789, 2900, 2869,
2830, 2769, 2920, 2768, 2706, 2793, 2796, 2703, 2886, 2811, 2968, 2721, 2978,
2695, 2705, 2694, 2805, 2873, 2816, 2882, 2807, 2972, 2825, 2973, 2704, 2995,
2954, 2745, 3044, 2752, 3047, 2731, 3068, 2719, 3080, 2600, 3199, 2749, 2724,
2865, 2784, 2905, 2963, 2916, 2981, 2718, 3071, 2680, 3119, 2829, 2672, 2927,
2841, 2838, 2860, 2928, 2770, 2929, 2840, 2949, 2839, 2950, 2937, 2762, 3027,
2850, 2946, 2833, 2866, 2823, 2956, 2809, 2980, 2799, 2990, 2896, 2803, 2895,
2794, 2904, 2883, 2906, 3053, 2925, 3054, 2645, 3154, 2785, 2756, 2923, 2765,
2892, 2877, 2812, 2967, 2821, 3058, 2714, 3085, 2716, 3083, 2828, 2971, 2727,
3062, 2824, 2975, 2813, 2976, 2893, 2986, 2901, 2798, 2991, 2778, 2921, 2758,
2834, 2935, 2664, 3035, 2814, 2985, 2884, 2914, 2955, 2846, 2853, 2836, 2763,
2926, 2852, 2817, 2872, 2907, 2881, 2998, 2790, 2909, 2959, 2938, 2941, 2848,
3031, 2989, 2910, 2879, 3000, 3001, 2897, 2902, 2994, 2894, 3003, 2965, 2933,
3036, 2942, 2947, 2932, 3037, 2966, 3013, 2974, 2915, 2982, 2987, 3009, 2960,
3019, 2984, 2777, 3012, 3088, 2918, 3061, 2827, 3152, 2858, 2944, 2754, 3125,
2876, 2999, 2969, 3018, 2951, 2899, 3070, 2889, 3090, 2912, 3067, 2911, 3077,
2953, 2936, 2943, 2855, 2934, 3025, 2996, 2983, 3004, 2992, 3005, 3007, 3692,
3097, 3014, 3016, 3010, 3045, 2952, 3747, 3032, 3968, 2931, 3069, 2961, 3039,
2930, 3049, 2939, 3040, 3161, 3538, 2868, 3134, 3066, 3076, 3623, 3166, 3022,
2880, 3028, 2940, 2958, 3011, 3091, 3112, 2786, 3113, 2988, 3017, 2970, 3059,
3041, 3079, 3620, 3169, 3106, 2913, 3087, 3015, 3086, 3094, 3605, 3184, 6815,
3143, 3057, 3023, 3676, 3043, 2957, 3742, 3046, 3954, 3024, 2979, 3120, 2867,
3048, 3052, 2837, 3142, 3357, 2993, 3008, 3103, 3596, 3203, 3799, 3034, 3167,
3532, 3072, 3827, 3151, 3248, 3157, 3122, 3121, 3002, 3130, 3569, 3131, 3871,
3108, 3092, 3020, 3082, 3175, 3524, 3081, 3117, 3582, 3050, 3051, 3648, 3141,
3860, 3029, 3171, 3030, 3026, 3673, 3116, 3884, 3095, 3006, 2997, 3702, 3176,
3824, 3065, 3124, 3575, 3064, 3936, 3033, 3078, 3621, 3168, 3099, 3055, 3056,
3643, 3146, 6853, 3042, 3158, 3541, 3089, 5910, 3075, 3126, 3573, 3104, 3896,
3101, 3100, 3021, 3109, 3140, 3160, 3073, 3063, 3636, 3153, 6846, 3139, 3862,
3135, 3866, 3149, 3852, 3127, 3874, 3074, 3926, 3763, 3193, 3807, 3115, 3885,
3123, 3878, 3084, 3916, 3683, 3038, 3162, 3537, 3262, 3738, 3110, 3890, 3098,
3102, 3198, 3202, 3144, 3185, 3129, 3180, 3060, 3096, 3603, 3186, 6813, 3136,
3105, 3118, 3093, 3107, 3592, 3207, 3795, 3128, 3172, 3230, 3114, 3155, 3147,
3159, 3164, 3178, 3138, 3170, 3233, 3111, 3257, 3243, 3145, 3224, 3189, 3187,
3194, 3133, 3132, 3181, 3150, 3177, 3156, 3179, 3163, 3137, 3188, 3215, 3148,
3191, 3213, 3196, 3197, 3212, 3206, 3205, 3214, 3223, 3190, 3195, 3232, 3204,
3173, 3165, 3242, 3182, 3277, 3239, 3250, 3208, 3261, 3221, 3258, 3216, 3253,
3252, 3217, 3270, 3200, 3289, 3220, 3279, 3259, 3320, 3266, 3225, 3254, 3275,
3284, 3295, 3294, 3305, 3384, 3315, 3684, 3304, 3697, 3272, 3728, 3211, 3288,
3231, 3268, 3226, 3271, 3222, 3267, 3280, 3298, 3201, 3398, 3174, 3825, 3293,
3302, 3297, 3402, 3287, 4712, 3227, 3274, 3183, 3306, 3210, 3489, 3192, 3809,
3292, 3709, 3286, 3714, 3235, 3367, 3307, 3693, 3276, 3726, 3240, 3329, 3229,
3370, 3249, 3750, 3339, 3661, 3338, 6661, 3218, 6782, 3219, 3781, 3278, 3722,
3244, 3285, 3264, 3325, 3334, 3234, 3765, 3314, 3686, 3311, 3690, 3309, 3711,
3291, 3209, 3390, 3236, 3766, 3313, 3687, 3301, 3699, 3300, 3720, 3879, 3260,
3740, 3459, 6543, 3256, 6746, 3255, 3745, 3228, 3772, 3238, 3762, 3317, 6684,
3265, 3736, 3247, 3753, 3237, 6765, 3241, 3759, 3330, 3670, 3299, 3701, 3310,
6690, 3312, 3708, 3324, 3677, 3321, 3679, 3245, 3755, 3343, 3657, 3342, 3658,
3341, 3660, 4239, 5760, 3308, 6696, 3273, 3729, 3246, 3353, 3322, 4577, 3347,
3653, 3346, 6653, 3316, 6686, 3263, 3837, 3362, 3638, 3361, 3640, 3359, 6640, 3349,
6654, 3333, 6670, 3326, 3674, 3282, 3718, 3283, 3251, 3428, 3356, 3323, 4576,
3331, 3669, 3319, 3782, 3328, 3672, 3327, 6672, 3296, 3704, 3397, 6605, 3364,
6641, 3337, 6663, 3348, 6657, 3340, 6664, 3332, 6671, 3429, 3571, 3388, 3612,
3387, 3618, 3381, 3351, 3650, 4249, 5750, 3409, 3591, 3411, 3600, 3404, 6595,
3303, 3717, 3882, 3281, 3819, 3580, 3360, 3641, 3358, 6642, 3336, 6665, 3355,
6649, 3371, 3631, 3368, 3431, 3568, 3420, 3581, 3369, 3632, 3379, 3520, 3479,
3345, 3655, 3344, 6655, 3365, 6639, 3363, 3639, 4260, 3741, 3458, 3542, 3468,
5531, 3467, 3422, 3578, 3374, 3626, 3373, 3376, 3624, 3375, 3318, 3681, 3366,
3635, 4264, 4735, 3454, 3546, 4453, 4546, 5456, 4547, 5457, 4549, 5454, 4550,
5453, 4551, 5451, 4552, 5448, 4553, 3447, 6555, 3424, 6580, 3290, 3810, 3689,
3413, 3588, 3418, 3583, 3427, 3574, 3383, 3617, 3382, 3421, 3589, 3335, 3666,
4233, 5766, 3392, 3608, 3391, 3610, 3389, 3614, 3385, 3415, 3584, 3433, 3577,
4322, 4677, 3400, 6603, 3394, 6608, 3395, 3606, 3393, 6606, 3372, 6633, 3354,
3645, 4254, 5745, 3352, 6651, 3350, 6650, 3451, 6553, 3426, 6576, 3269, 3731,
3469, 3510, 3492, 3511, 3491, 3513, 3498, 3508, 3493, 3517, 3485, 3417, 3593,
3407, 3595, 3405, 3597, 4402, 3599, 6402, 3497, 6504, 3475, 6528, 3460, 3399,
4600, 3401, 6602, 3377, 6624, 3378, 3396, 3604, 3416, 6583, 3414, 3587, 3438,
3562, 3439, 5560, 3440, 6564, 3448, 6556, 3423, 6581, 3430, 4570, 3425, 6578,
3410, 3590, 3512, 3490, 3515, 3487, 3521, 3480, 3435, 3566, 4433, 4566, 3432,
6571, 3406, 3594, 4405, 3695, 6308, 3691, 3908, 4093, 3907, 4094, 4006, 3995,
6008, 3994, 6011, 3991, 4012, 3989, 3412, 3598, 3434, 3567, 4432, 4567, 4132,
5871, 3529, 3471, 3488, 4511, 4388, 3615, 3386, 3514, 3496, 3547, 3455, 3545,
4454, 4545, 5458, 4554, 3446, 6557, 3445, 3555, 4444, 4555, 5466, 4537, 5467,
4535, 5468, 3531, 3470, 3419, 4580, 3449, 3552, 3450, 5549, 4250, 3751, 3528,
3472, 3477, 3523, 4476, 3476, 6527, 3452, 3442, 4557, 4342, 5661, 4138, 5862,
4140, 5861, 3441, 3560, 4439, 4560, 3540, 6463, 3436, 6566, 3437, 6567, 3444,
3556, 4443, 4556, 5446, 4558, 5445, 4559, 5444, 4564, 5439, 4565, 3535, 6468,
3530, 3570, 3408, 5591, 4208, 3793, 3463, 3539, 4460, 3550, 6453, 3536, 6466,
3533, 6470, 3499, 3501, 3519, 5480, 3548, 3453, 3557, 4442, 5547, 4456, 5548,
4455, 5552, 4451, 5550, 4450, 5554, 4449, 5555, 4448, 5556, 4447, 5557, 4446,
5558, 4445, 5559, 4462, 4538, 5463, 4539, 5464, 4540, 5465, 4548, 5455, 4561,
5442, 4562, 5441, 4563, 5437, 4568, 5434, 4569, 4330, 3671, 3928, 6071, 3506,
3494, 5505, 3484, 6520, 3482, 3576, 4423, 5476, 3457, 3543, 5356, 4543, 5459,
4544, 3466, 6537, 3465, 6539, 3464, 3637, 4362, 5637, 4364, 5638, 4361, 5641,
4358, 5642, 4257, 5744, 3443, 6560, 3461, 6544, 3456, 6547, 3473, 3527, 4472,
3403, 6598, 3503, 3507, 5492, 4407, 4593, 5410, 4592, 3509, 3502, 3500, 5499,
4400, 3601, 6411, 3609, 3602, 4399, 5600, 4403, 5601, 4401, 5599, 4404, 3696,
6307, 3698, 3901, 4099, 3902, 4108, 3893, 4107, 3894, 4117, 3883, 3478, 3622,
4377, 3565, 6437, 3462, 6540, 3474, 6529, 3483, 3627, 4372, 3611, 6390, 3629,
3481, 3505, 4494, 4505, 4495, 5508, 4496, 3504, 3516, 5483, 3551, 3549, 5450,
4571, 5432, 4572, 4127, 5874, 3495, 6508, 3518, 4482, 3564, 4436, 5553, 4452,
5561, 4440, 5564, 4457, 5546, 4458, 5545, 4459, 5544, 4464, 5539, 4466, 3544,
6459, 3553, 3647, 5352, 4647, 4352, 5651, 4248, 5752, 3713, 6288, 3712, 3777,
3525, 6477, 3534, 6469, 3561, 6442, 3558, 6443, 3559, 6444, 3554, 6449, 3563,
4438, 5461, 4541, 5462, 4542, 5470, 4531, 5472, 4027, 5974, 3665, 4336, 5663,
4036, 5966, 4033, 3977, 3922, 4079, 3656, 4345, 5654, 4145, 5858, 3642, 6362,
3649, 6350, 3652, 5347, 4652, 4247, 5754, 3522, 6481, 3619, 4381, 3675, 4325,
5674, 3585, 6418, 3586, 3659, 4341, 4659, 4240, 3761, 3526, 6474, 3380, 6623,
3780, 3668, 4332, 5667, 3932, 6072, 3707, 6294, 3721, 3778, 3749, 4251, 3849,
3628, 3572, 3917, 5082, 3719, 4281, 3748, 3651, 4349, 5650, 4149, 5855, 4148,
5856, 3644, 4356, 5643, 4256, 5746, 3630, 6373, 3737, 6265, 3746, 3633, 6369,
3654, 4347, 5652, 4147, 5854, 3646, 4354, 5645, 4344, 5659, 4230, 3771, 3758,
6242, 3760, 3716, 6286, 3725, 3764, 3785, 6217, 3787, 3664, 6338, 3667, 4232,
5767, 3607, 6397, 3663, 4338, 5664, 4035, 5968, 3931, 4069, 3828, 4173, 3613,
3694, 3816, 4185, 3616, 3710, 3794, 4217, 3784, 3662, 6340, 3680, 4319, 5680,
3735, 4265, 4734, 3734, 5165, 3833, 3770, 4129, 5873, 3705, 4295, 5707, 3682,
6322, 3685, 3744, 6255, 3756, 3703, 6299, 3743, 3846, 6156, 3847, 3773, 4227,
5775, 3634, 6370, 3732, 6270, 3754, 3815, 6187, 3813, 3792, 3808, 4193, 5809,
3723, 4277, 3486, 3903, 4096, 3905, 4105, 4895, 4106, 3895, 4116, 3984, 3727, 4273,
4016, 3733, 3789, 4110, 3891, 4111, 3889, 4114, 3886, 3625, 4375, 3579, 6423,
3678, 3779, 4221, 4779, 3730, 4271, 3688, 3791, 4209, 3801, 3752, 6248, 3767,
3700, 6302, 3803, 3796, 4204, 3797, 3774, 4236, 5770, 3739, 6267, 3757, 3802,
6200, 3811, 3706, 4294, 5708, 3861, 4139, 5863, 4137, 3863, 4142, 3858, 3842,
4158, 5843, 4157, 3843, 3768, 6234, 3786, 3788, 4212, 5790, 3834, 4167, 3832,
3798, 4001, 3999, 6001, 4007, 5993, 4010, 4000, 4002, 6010, 3993, 4009, 3992,
4018, 3983, 3820, 4180, 3724, 3800, 3775, 4225, 5777, 3776, 6228, 3783, 3715,
4285, 3821, 3848, 3769, 4231, 3869, 3804, 4196, 5806, 3897, 4103, 3898, 4104,
3906, 4195, 3806, 3818, 4182, 3855, 3867, 4133, 5869, 3830, 4170, 4329, 3851,
3918, 4082, 3829, 4171, 3805, 3817, 4183, 3826, 3887, 3870, 4130, 5872, 3914,
4086, 3915, 4085, 3925, 4075, 3888, 6115, 3892, 4115, 3985, 4022, 3978, 3838,
4162, 5840, 4160, 3840, 3790, 4210, 4790, 3835, 4166, 4833, 3868, 4031, 3969,
3910, 4091, 3911, 4090, 3913, 4088, 3935, 4065, 3945, 6058, 3944, 4056, 4044,
5959, 4053, 3948, 6054, 3949, 6055, 3947, 6057, 3946, 6059, 3943, 4058, 3952,
4048, 3953, 4047, 3963, 6040, 3962, 6041, 3960, 6043, 3959, 6044, 3958, 6045,
3957, 6046, 3956, 6047, 3955, 6048, 3965, 6038, 3964, 6050, 3961, 6052, 3950,
6051, 3951, 6049, 3971, 4030, 3980, 3979, 4021, 4979, 3844, 5156, 4846, 3854,
4146, 5857, 4143, 3857, 4176, 5826, 3875, 3864, 4136, 5866, 4134, 5870, 3929,
4071, 3923, 6077, 3873, 6132, 3919, 3880, 3924, 4076, 3814, 6189, 3822, 3900,
3853, 5147, 4855, 4150, 3850, 4175, 5827, 3973, 3812, 4189, 3941, 3970, 4040,
4060, 5943, 4062, 3939, 6062, 3940, 6061, 3942, 6063, 3938, 6064, 3988, 6015,
3987, 4020, 3981, 4067, 3933, 6070, 3899, 6106, 3920, 4100, 3831, 4270, 4419,
4050, 3997, 6006, 3996, 6009, 4005, 4095, 5908, 4109, 4891, 4119, 3881, 4049,
5951, 4052, 4948, 5053, 4950, 5052, 4951, 5050, 4953, 5051, 4952, 5048, 4955,
5049, 4954, 4046, 4054, 5949, 4055, 4045, 5958, 4063, 3937, 6065, 3986, 6018,
3990, 3912, 4089, 3921, 4080, 3930, 4070, 4429, 5574, 4004, 5999, 4013, 4087,
3927, 4073, 3856, 6146, 3859, 3841, 4159, 5841, 4163, 5837, 4165, 5839, 4161,
3839, 3872, 4128, 5878, 4014, 5990, 4059, 4041, 4959, 5041, 4962, 5038, 4963,
5039, 4964, 5040, 4965, 5047, 4956, 5056, 4947, 5057, 4946, 5058, 4945, 5059,
4944, 5060, 4943, 5061, 4941, 5063, 4937, 5065, 4938, 5066, 3934, 6079, 3909,
4092, 4008, 4992, 5011, 4990, 4120, 4880, 4023, 5980, 4032, 4068, 4631, 5372,
4226, 5776, 3876, 6128, 3877, 3972, 4028, 3982, 3966, 4034, 3967, 4932, 5070,
4529, 5475, 4112, 5891, 4121, 4879, 3836, 4164, 5835, 3865, 4135, 5867, 4122,
5882, 4118, 5883, 4017, 5985, 4015, 4985, 4039, 4061, 4939, 5064, 4957, 5046,
4958, 5045, 4967, 5036, 4969, 5030, 4973, 3823, 4178, 4098, 3974, 4026, 3975,
3998, 4003, 4097, 5905, 4101, 4899, 4102, 4898, 4202, 4798, 4024, 3976, 4211,
4789, 3845, 4155, 5847, 4153, 5850, 4152, 5852, 4151, 5853, 4168, 5834, 4169,
4730, 4286, 4213, 4266, 4125, 4064, 4025, 5978, 4043, 4057, 5945, 4077, 4923,
5080, 4078, 5926, 4081, 4019, 5981, 4072, 4928, 5073, 4126, 5876, 4124, 5880,
4123, 5881, 4042, 5962, 5139, 4862, 4241, 5762, 4144, 5860, 4198, 5807, 4200,
5804, 4197, 5810, 4190, 4811, 4235, 4767, 4184, 5819, 4181, 4037, 4207, 5795,
4206, 4794, 4244, 4756, 4187, 5816, 3904, 4113, 4887, 4214, 5789, 4051, 4949,
5054, 4972, 5031, 4970, 4619, 5384, 4220, 5782, 4131, 5875, 4011, 5995, 4141,
4859, 4191, 4809, 4219, 4781, 4238, 5765, 4237, 5768, 4038, 5967, 4234, 4766,
4194, 5811, 4192, 4810, 4218, 4783, 4253, 5749, 4203, 4797, 4259, 4741, 4428,
5572, 4275, 5726, 4066, 4222, 5781, 4229, 5771, 4246, 5758, 4243, 5761, 4154,
5846, 4274, 5729, 4216, 4282, 4172, 4307, 4215, 4284, 4029, 4360, 4228, 5774,
4199, 5805, 4297, 5710, 4084, 4917, 5086, 4156, 5848, 4174, 5829, 4177, 4312,
4201, 4398, 4262, 4738, 4252, 5751, 4261, 5739, 4205, 4795, 4279, 4721, 4378,
4283, 5719, 4074, 4288, 5715, 4258, 4343, 4223, 4676, 4373, 5630, 4376, 4303,
5699, 4186, 4814, 4267, 4333, 4306, 4493, 4276, 4724, 4465, 4280, 5723, 4268,
4179, 4289, 4224, 4255, 4083, 4366, 5636, 4363, 5639, 4382, 4618, 5383, 4328,
5676, 4292, 5712, 4291, 4739, 4245, 4755, 4188, 5815, 4287, 4314, 4435, 4263,
4736, 4353, 5646, 4357, 5647, 4351, 5653, 4350, 5655, 4334, 5670, 4299, 5705,
4242, 5764, 4437, 5566, 4467, 5537, 4468, 5534, 4469, 4430, 5573, 4321, 5681,
4278, 5722, 4290, 4300, 4369, 4310, 4690, 4269, 4731, 4367, 4331, 5668, 4301,
5703, 4272, 5730, 4370, 4309, 5693, 4315, 4685, 4339, 5665, 4304, 5700, 4293,
5711, 4324, 4678, 4318, 5685, 4317, 5687, 4298, 5706, 4302, 5702, 4308, 5696,
4311, 4689, 4313, 4687, 4326, 5677, 4335, 5669, 4320, 4680, 4316, 5689, 4296, 4704,
4595, 5408, 4596, 5407, 4597, 5406, 4598, 5405, 4599, 5404, 4604, 5399, 4606,
4394, 5609, 4393, 4607, 5395, 4608, 4392, 5611, 4390, 4612, 5390, 4610, 5392,
4611, 4389, 4613, 4387, 4617, 5385, 4415, 5587, 4413, 5593, 4409, 4591, 5412,
4588, 4424, 5579, 4327, 4673, 4305, 5697, 4323, 5682, 4348, 5656, 4346, 5658,
4365, 5640, 4359, 5644, 4368, 5635, 4379, 4620, 4380, 4523, 5479, 4426, 4574,
4371, 5632, 4374, 4514, 5488, 4512, 5491, 4509, 4491, 5512, 4488, 4515, 5497,
4503, 4497, 5506, 4500, 5504, 4499, 5513, 4490, 4532, 5471, 4416, 5584, 4421,
5582, 4418, 5583, 4417, 5585, 4427, 5577, 4386, 5618, 4384, 4337, 5666, 4340,
5673, 4527, 5477, 4396, 5607, 4395, 5610, 4410, 5590, 4422, 4578, 4471, 5532,
4474, 4414, 5589, 4411, 4589, 4431, 5576, 4391, 5613, 4408, 4605, 5398, 4614,
5388, 4615, 5387, 4616, 5386, 4626, 5376, 4397, 5605, 4406, 5598, 4425, 4575,
4504, 5500, 4513, 5509, 4502, 4498, 5503, 4518, 5484, 4516, 5487, 4517, 5486,
4520, 5485, 4519, 5493, 4507, 5495, 4508, 4492, 5511, 4501, 4510, 5490, 4522,
4478, 4355, 5648, 4383, 5620, 4441, 4480, 5520, 4483, 4420, 5592, 4528, 5473,
4473, 5529, 4477, 4489, 5514, 4521, 4484, 4573, 5430, 4581, 4818, 5182, 4628,
4525, 4674, 4585, 5418, 4586, 4486, 5517, 4506, 4601, 5402, 4603, 5400, 4602,
5401, 4609, 5391, 4621, 5379, 4434, 5568, 4533, 5474, 4530, 5482, 4385, 5616,
4485, 4630, 5373, 4584, 5420, 4583, 4536, 5489, 4524, 5498, 4622, 5381, 4624,
5378, 4582, 5422, 4579, 4470, 5533, 4479, 5220, 4786, 4461, 5542, 4463, 5538,
4662, 5340, 4661, 5138, 4865, 5135, 4868, 5121, 4882, 4481, 5522, 4629, 4627,
4672, 4526, 5507, 4534, 5481, 4639, 5361, 4641, 5358, 4642, 5257, 4744, 4623,
5380, 4625, 5377, 4633, 5369, 4634, 5365, 4632, 5367, 4412, 5594, 4651, 5353,
4650, 5249, 4754, 4594, 5409, 4635, 5368, 4636, 5363, 4640, 5359, 4644, 5255,
4748, 4637, 5366, 4645, 5354, 4649, 5250, 4753, 4686, 5316, 4691, 4808, 5192,
4815, 4699, 4703, 5300, 4702, 4697, 5304, 4701, 4698, 5302, 4705, 4694, 5309,
4696, 4793, 5210, 4792, 4643, 5360, 4654, 5345, 4658, 5141, 4863, 5137, 4866,
5134, 4869, 4930, 5075, 4684, 5320, 4683, 4670, 5332, 4671, 5018, 4982, 4648,
5355, 4657, 5242, 4761, 4587, 5413, 4590, 4711, 5292, 4708, 4681, 5322, 4692,
4663, 5338, 4664, 5035, 4968, 4931, 5072, 4706, 5295, 4710, 4679, 5321, 4682,
4726, 5275, 4660, 4709, 5294, 4714, 4675, 4825, 5178, 4666, 4747, 5256, 4750,
4707, 5296, 4716, 4763, 4487, 5515, 4695, 4725, 5278, 4638, 4740, 5262, 4759,
4717, 5286, 4720, 4668, 4667, 5336, 4669, 5120, 4883, 4722, 5280, 4723, 4656,
4700, 5303, 4718, 4771, 4733, 5267, 4729, 4765, 4732, 5271, 4688, 4780, 5223,
4784, 4653, 5350, 4655, 5244, 4760, 4768, 5235, 4770, 4757, 5246, 4758, 4788,
5215, 4791, 4719, 5281, 4727, 4742, 4807, 5194, 4812, 4693, 5307, 4713, 4776,
5224, 4782, 4665, 5341, 4762, 5037, 4966, 5067, 4936, 5068, 4934, 5071, 4728,
5272, 4743, 4752, 5251, 4764, 4774, 5229, 4777, 4749, 5254, 4772, 4775, 5226,
4778, 4802, 5201, 4800, 4715, 5288, 4745, 4751, 5252, 4769, 4787, 5216, 4796,
4805, 5198, 4806, 4816, 5187, 4813, 4799, 5203, 4803, 4820, 5183, 4737, 4785,
5217, 4804, 4829, 5174, 4773, 4838, 5164, 4839, 4861, 5142, 4858, 5143, 4860,
5140, 4867, 5133, 4870, 4919, 5084, 4646, 5357, 4844, 5055, 4961, 5043, 4960,
5042, 4975, 5026, 4977, 4832, 5171, 4824, 4877, 4831, 5172, 4822, 4888, 4746,
5261, 4841, 4842, 5158, 4843, 5157, 4845, 5155, 4848, 5152, 4851, 5149, 4854,
5146, 4857, 5148, 4856, 5144, 4872, 5128, 4873, 4821, 5181, 4819, 4892, 4910,
5091, 4909, 5095, 4908, 5096, 4907, 5097, 4906, 5098, 4905, 5099, 4904, 5100,
4903, 5101, 4901, 5103, 4897, 5105, 4902, 5102, 4915, 5085, 4918, 5089, 4911,
5093, 4924, 5078, 4828, 5176, 4827, 4874, 4801, 5202, 4823, 4881, 4475, 5525,
4875, 4834, 5169, 4847, 4853, 5150, 4852, 5161, 4840, 5160, 4942, 5062, 4991,
5010, 4993, 5007, 4995, 5009, 4994, 5014, 4989, 5015, 4988, 5012, 4996, 5004,
4999, 5005, 4998, 5006, 4997, 5008, 5000, 5013, 5027, 4984, 4835, 5168, 4830,
5170, 4837, 4864, 5151, 4890, 5110, 4893, 5107, 4896, 5104, 4912, 5088, 4913,
5094, 4914, 5090, 4922, 5109, 4894, 5106, 4920, 5111, 4933, 5113, 4889, 5115,
4929, 5108, 4884, 5116, 4900, 5114, 4916, 5087, 4921, 5083, 4925, 5077, 4926,
5125, 4876, 4878, 5127, 4885, 4871, 5132, 4974, 5003, 5021, 4981, 4850, 5153,
4971, 5029, 4983, 5025, 4978, 5023, 4980, 4826, 5177, 4927, 5079, 5001, 5016,
5024, 4976, 4849, 5154, 5069, 4935, 5118, 4886, 5130, 4940, 5017, 4986, 5020,
4987, 5044, 5076, 5126, 5175, 5028, 5032, 5002, 5119, 5092, 5033, 5074, 5227,
5173, 4817, 5185, 4836, 5180, 5034, 5081, 5022, 5129, 5270, 5191, 5112, 5167,
5123, 5117, 5184, 5159, 5145, 5193, 5162, 5179, 5122, 5019, 5136, 5124, 5131, 5186,
5195, 5200, 5196, 5204, 5197, 5290, 5205, 5199, 5189, 5207, 5188, 5209, 5212,
5219, 5206, 5163, 5225, 5213, 5276, 5221, 5190, 5208, 5214, 5264, 5233, 5755,
5230, 5370, 5228, 5273, 5238, 5263, 5236, 5563, 5305, 5698, 5312, 5218, 5234,
5166, 5333, 5222, 5779, 5323, 5277, 5411, 5578, 5424, 5581, 5297, 5313, 5287,
5247, 5753, 5258, 5243, 5259, 5619, 5260, 5240, 5649, 5310, 5211, 5239, 5266,
5237, 5562, 5306, 5694, 5318, 5284, 5282, 5319, 5291, 5285, 5245, 5785, 5317,
5283, 5426, 5274, 5615, 5374, 5279, 5231, 5299, 5389, 5614, 5393, 5232, 5289,
5570, 5429, 5603, 5397, 5604, 5403, 5608, 5394, 5612, 5431, 5569, 5433, 5268,
5733, 5298, 5714, 5293, 5269, 5342, 5662, 5339, 5683, 5324, 5679, 5331, 5469,
5541, 5502, 5501, 5709, 6293, 5308, 5692, 5311, 5701, 5326, 5686, 5314, 5690,
5241, 5460, 5328, 5675, 5325, 5678, 5334, 5671, 5330, 5684, 5337, 5773, 5248,
5253, 5346, 5443, 5567, 5435, 5586, 5415, 5588, 5335, 5695, 5315, 5688, 5414,
5617, 5440, 5494, 5518, 5516, 5329, 5343, 5657, 5344, 5660, 5351, 5769, 6231,
5772, 5349, 5672, 5348, 5756, 5265, 5738, 5364, 5736, 5375, 5626, 5478, 5510,
5496, 5521, 5519, 5419, 5427, 5428, 5575, 5425, 5580, 5416, 5596, 5417, 5595,
5527, 5543, 5597, 5423, 5602, 5797, 6205, 5396, 5523, 5628, 5382, 5621, 5421,
5436, 5763, 5438, 5565, 5447, 5953, 6060, 5940, 6081, 5920, 6083, 5691, 5540,
5530, 5571, 6429, 5791, 5720, 5301, 5528, 6472, 5526, 5524, 5606, 5362, 5740,
5371, 5631, 6371, 5629, 6374, 5625, 6375, 5627, 5783, 5717, 5784, 5327, 5724,
6075, 5622, 5778, 5800, 6202, 5803, 5836, 6164, 5838, 5536, 5704, 6296, 5735,
5965, 5535, 5787, 6213, 5792, 5624, 5716, 5963, 5780, 5452, 5551, 5449, 5851,
5759, 5742, 5859, 6142, 5864, 5796, 6206, 5798, 5868, 5633, 5877, 6123, 5879,
5718, 5793, 5799, 5721, 5889, 5886, 5634, 5786, 6214, 5788, 5728, 6274, 5731,
6068, 5932, 6073, 5927, 6076, 5813, 6190, 5812, 5727, 5814, 6084, 5747, 6254,
5748, 5941, 6069, 5933, 6082, 5918, 6085, 5732, 6271, 5830, 5969, 6031, 5971,
6029, 5973, 6026, 5976, 5822, 6180, 5713, 5825, 5888, 5801, 6201, 5831, 5808,
6192, 5828, 5900, 6089, 5913, 6090, 5623, 5897, 5898, 5802, 6203, 5817, 5741,
5823, 6178, 5824, 5794, 5885, 5725, 6277, 5734, 6155, 5845, 5906, 6095, 5907,
6096, 5915, 6088, 5914, 6091, 5821, 6182, 5737, 5909, 6093, 5922, 6078, 5887,
6116, 5895, 5911, 6094, 5912, 6098, 5904, 6099, 5902, 6101, 5901, 5899, 6103,
5903, 6097, 5923, 6080, 5931, 6074, 5928, 6102, 5896, 6107, 5916, 5884, 5832,
6169, 5833, 5757, 6243, 5957, 5929, 6086, 5925, 6087, 5890, 6113, 5892, 5938,
6067, 5935, 6105, 5919, 6092, 5950, 6053, 5989, 6013, 5992, 5820, 6186, 5924,
5893, 5894, 6108, 5934, 6100, 5942, 6110, 5991, 6012, 5994, 6024, 5977, 5972,
6030, 5983, 6017, 5988, 5936, 6066, 5937, 6165, 5947, 6003, 5998, 6002, 6000,
6021, 5982, 5865, 6137, 5964, 5956, 6056, 5946, 6174, 6027, 5986, 6035, 5970,
6032, 5979, 6033, 5987, 6016, 5997, 5818, 6184, 5917, 5954, 5952, 6148, 5975,
5955, 6150, 5960, 5944, 6157, 5844, 5961, 6139, 5921, 6109, 5996, 6007, 6004,
6036, 6264, 6738, 6131, 6170, 5842, 6019, 6022, 5984, 6028, 6005, 6025, 6175,
6125, 6042, 6039, 6162, 6138, 6037, 6117, 6183, 6023, 6136, 6163, 5849, 6151,
6152, 6112, 6134, 6118, 6126, 6014, 6121, 6034, 5930, 6172, 6140, 6135, 5939,
6143, 6160, 5743, 6171, 6130, 6127, 6144, 6166, 6124, 6114, 6111, 6104, 6120,
6193, 6122, 6173, 6133, 6167, 6149, 6161, 6129, 6145, 6158, 6159, 6141, 6168,
6176, 6179, 6177, 6153, 6147, 6198, 5948, 6154, 6247, 6188, 6211, 6199, 6197,
6223, 6216, 6181, 6020, 6210, 6185, 6119, 6220, 6191, 6195, 6207, 6204, 6196,
6253, 6222, 6367, 6219, 6783, 6237, 6263, 6225, 6464, 6194, 6806, 6208, 6292,
6256, 6245, 6344, 6235, 6767, 6244, 6758, 6226, 6775, 6227, 6774, 6229, 6771,
6218, 6784, 6236, 6764, 6238, 6762, 6212, 6790, 6221, 6280, 6215, 6285, 6240,
6260, 6319, 6379, 6249, 6252, 6246, 6343, 6326, 6674, 6303, 6697, 6305, 6295,
6704, 6297, 6703, 6300, 6702, 6309, 6693, 6306, 6699, 6312, 6708, 6318, 6685,
6230, 6772, 6239, 6763, 6251, 6751, 6250, 6752, 6224, 6777, 6324, 6678, 6261,
6741, 6279, 6721, 6257, 6301, 6378, 6621, 6381, 6258, 6744, 6232, 6768, 6333,
6669, 6342, 6660, 6351, 6750, 6360, 6643, 6359, 6652, 6349, 6662, 6352, 6659,
6361, 6644, 6358, 6743, 6259, 6753, 6241, 6760, 6233, 6769, 6332, 6268, 6734,
6376, 6626, 6377, 6321, 6681, 6273, 6729, 6282, 6617, 6272, 6291, 6408, 6491,
6509, 6493, 6512, 6488, 6313, 6687, 6315, 6688, 6314, 6706, 6331, 6680, 6421,
6590, 6283, 6317, 6482, 6432, 6568, 6434, 6570, 6430, 6572, 6427, 6574, 6323,
6677, 6325, 6695, 6281, 6720, 6284, 6345, 6454, 6546, 6455, 6545, 6456, 6554,
6446, 6565, 6435, 6575, 6425, 6577, 6372, 6629, 6382, 6517, 6485, 6276, 6724, 6278,
6310, 6389, 6311, 6289, 6412, 6387, 6414, 6588, 6431, 6573, 6438, 6563, 6439,
6562, 6440, 6561, 6441, 6569, 6433, 6587, 6413, 6589, 6420, 6582, 6209, 6792,
6287, 6715, 6298, 6335, 6667, 6334, 6668, 6532, 6479, 6522, 6478, 6396, 6604,
6398, 6613, 6391, 6330, 6675, 6327, 6676, 6320, 6682, 6262, 6740, 6460, 6542,
6458, 6552, 6448, 7552, 6451, 6550, 6450, 6551, 6549, 6452, 6548, 6462, 6538,
6473, 6531, 6471, 6530, 6490, 6511, 6489, 6513, 6487, 6514, 6486, 6416, 6584,
6266, 6735, 6366, 6635, 6385, 6616, 6386, 6275, 6727, 6269, 6610, 6392, 6614,
6388, 6316, 6785, 6290, 6711, 6339, 6461, 6541, 7460, 7540, 6480, 6521, 6483,
6336, 6666, 6354, 6648, 6353, 6647, 6355, 6645, 6356, 6646, 6364, 6636, 6384,
6618, 6393, 6558, 6447, 6593, 6407, 6594, 6406, 6596, 6404, 6597, 6403, 6599,
6401, 6600, 6400, 6611, 6409, 6607, 6395, 6625, 6380, 6497, 6505, 6495, 6506,
6494, 6507, 6498, 6503, 6499, 6502, 6500, 6501, 6510, 6492, 6518, 6484, 6341,
6679, 6422, 6592, 6363, 6638, 7363, 6658, 7343, 6757, 7245, 6755, 6347, 6656,
6346, 6754, 7247, 6773, 6329, 6673, 6368, 6634, 6467, 6533, 7468, 6632, 6399,
6612, 6519, 6516, 6328, 6405, 6394, 6707, 6304, 6698, 7201, 6800, 6410, 6601,
6419, 6691, 6585, 6417, 6683, 6337, 6694, 6426, 6579, 6920, 7080, 6476, 6536,
6475, 6526, 7474, 6925, 7077, 6619, 6591, 6496, 6515, 6535, 6620, 7380, 6365,
6737, 7263, 6739, 6850, 7151, 6849, 6756, 6348, 6852, 7149, 6851, 6357, 6843,
6457, 6745, 6465, 6637, 6383, 6628, 7373, 6524, 6776, 6424, 6786, 6801, 7200,
6803, 6726, 7275, 6692, 6428, 6586, 6436, 6766, 7235, 6865, 6523, 6778, 6700,
7301, 6701, 7198, 6804, 6445, 6559, 7441, 6689, 7313, 6709, 6525, 6615, 6874,
6731, 7270, 6732, 6867, 7134, 6868, 6834, 7167, 6836, 6716, 7285, 6627, 7072,
6725, 7277, 6723, 6876, 6710, 7291, 6714, 7085, 6717, 7283, 6630, 6770, 7129,
6872, 6631, 7370, 6730, 7272, 6748, 6941, 7060, 6944, 7057, 6947, 7053, 6948,
7052, 6949, 7051, 6950, 7050, 6951, 7049, 6952, 7059, 6942, 7058, 6943, 7068,
6933, 7069, 6932, 7070, 6931, 7071, 6928, 7074, 6805, 7197, 6824, 6713, 6856,
6747, 7253, 6749, 6830, 7171, 6728, 6609, 6791, 7210, 6794, 6781, 6719, 7282,
6534, 6866, 7135, 6875, 6827, 7173, 6705, 6415, 6795, 6810, 7190, 6811, 6780,
6722, 7279, 6819, 6870, 6622, 7379, 6809, 7193, 6808, 6828, 7175, 6812, 6759,
6861, 7139, 6862, 6840, 7161, 6842, 6818, 7183, 6820, 6761, 6822, 7179, 6712,
6733, 6779, 7222, 6788, 6797, 7204, 6798, 6821, 7180, 6823, 6839, 6837, 7164,
6838, 6885, 7116, 6884, 6816, 7185, 6718, 6845, 6736, 7264, 6936, 6833, 7168,
6835, 6789, 7211, 6793, 6817, 7184, 6826, 6854, 6825, 7176, 6799, 6844, 7157,
6855, 6858, 7142, 6859, 6871, 7130, 6873, 6829, 7172, 6807, 6863, 7138, 6883,
6918, 7083, 6831, 7181, 6919, 6887, 6848, 7153, 6857, 6847, 7154, 6946, 6956,
7045, 6955, 7047, 6953, 7067, 6934, 7076, 6937, 7064, 6938, 7063, 6940, 7061,
6961, 7040, 6964, 7038, 6963, 7039, 6962, 7042, 6959, 7043, 6957, 7054, 6966,
7034, 6967, 7035, 6969, 7031, 6970, 7029, 6972, 6917, 7084, 6926, 7086, 6881,
7120, 6890, 6864, 7137, 6893, 6908, 7093, 6910, 7092, 6909, 7095, 6906, 7094,
6907, 7097, 6904, 7098, 6903, 7099, 6902, 7100, 6901, 7101, 6900, 7102, 6899,
7103, 6898, 7104, 6897, 7105, 6896, 7106, 6895, 7107, 6894, 7108, 6905, 7109,
6891, 7111, 6892, 7110, 6911, 7091, 6913, 7089, 6912, 7090, 6914, 7088, 6916,
7087, 6923, 7079, 6922, 7082, 6958, 7044, 6960, 7141, 6860, 7041, 6971, 7229,
6802, 6882, 7119, 6981, 6880, 7121, 6889, 6929, 7075, 6814, 7186, 6832, 6974,
7027, 6975, 6921, 7081, 6998, 7004, 6997, 7005, 6996, 7006, 6995, 7007, 6993,
7009, 6992, 7010, 6991, 7011, 6990, 7012, 6989, 7013, 6988, 7014, 6987, 7015,
6986, 7016, 6985, 6927, 7073, 6796, 7206, 6915, 6965, 7036, 6968, 7033, 6977,
7025, 6976, 6999, 7002, 7008, 6994, 7017, 6984, 7018, 6983, 6742, 7259, 6841,
6945, 7056, 6954, 7046, 7066, 6935, 7165, 7037, 6973, 7128, 6982, 7020, 7001,
6879, 7123, 6878, 6888, 7113, 7187, 7019, 6787, 6930, 7170, 7032, 6979, 7023,
6978, 6869, 7132, 6980, 7022, 7000, 7188, 7813, 7028, 7115, 7484, 6877, 7125,
6886, 7062, 6939, 7162, 7148, 7124, 7146, 6924, 7078, 7133, 7868, 7166, 7834,
7194, 7807, 7026, 7174, 7225, 7003, 7266, 7735, 7024, 7977, 7122, 7278, 7117,
7382, 7143, 7858, 7150, 7851, 7158, 7843, 7159, 7842, 7203, 7798, 7126, 7274,
7030, 7469, 7330, 7670, 7219, 7781, 7144, 7156, 7096, 7112, 7189, 7114, 7160,
7065, 7207, 7793, 7131, 7269, 7234, 7255, 7213, 7284, 7021, 7578, 7140, 7861,
7147, 7853, 7155, 7055, 7145, 7856, 7152, 7048, 7169, 7832, 7178, 7821, 7199,
7177, 7215, 7202, 7192, 7237, 7163, 7224, 7228, 7221, 7246, 7212, 7257, 7182,
7216, 7220, 7196, 7233, 7195, 7273, 7127, 7372, 7217, 7784, 7226, 7775, 7191, 7810,
7239, 7261, 7288, 7300, 7299, 7500, 7289, 7712, 7256, 7345, 7242, 7759, 7205,
7796, 7214, 7786, 7231, 7769, 7232, 7768, 7321, 7679, 7320, 7680, 7136, 7864,
7236, 7764, 7118, 7882, 7218, 7783, 7227, 7774, 7305, 7696, 7292, 7708, 7293,
7709, 7260, 7741, 7243, 7758, 7252, 7749, 7351, 7650, 7360, 7640, 7361, 7639,
7362, 7638, 7462, 7538, 7463, 7539, 7461, 7542, 7458, 7543, 7459, 7551, 7450,
7560, 8440, 11563, 8439, 7281, 7721, 7238, 7309, 7240, 7559, 7297, 7704, 7265,
7736, 7230, 7770, 7209, 7792, 7267, 7734, 7223, 7778, 7310, 7691, 7208, 7795,
7306, 7695, 7302, 7698, 7290, 7710, 7268, 7733, 7251, 7750, 7350, 7651, 7359,
7641, 7369, 7631, 7381, 7518, 7483, 7241, 7760, 7250, 7751, 7349, 7652, 7358,
7642, 7368, 7632, 7378, 7621, 7389, 7248, 7753, 7249, 7752, 7258, 7743, 7357,
7644, 7366, 7634, 7367, 7633, 7377, 7623, 7387, 7342, 7659, 8341, 7661, 7341,
7660, 7440, 7561, 7449, 8551, 7451, 7569, 7432, 7568, 7431, 7570, 7329, 7672,
7315, 7685, 7304, 7697, 7403, 7597, 7404, 7599, 7402, 7601, 7400, 7600, 7401,
7609, 7392, 7608, 7393, 7607, 7394, 7606, 7395, 7605, 7396, 7604, 7397, 7603,
7398, 7602, 7399, 7611, 7390, 7610, 7391, 7613, 7388, 7322, 7688, 7311, 7689,
7312, 7690, 7308, 7692, 7287, 7713, 7298, 7412, 7386, 7314, 7686, 7303, 7699,
7280, 7720, 7480, 7327, 7674, 7325, 7675, 7254, 7746, 7354, 7646, 7355, 7645,
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10433, 9571, 9425, 10578, 9382, 10621, 9479, 9442, 10560, 9447, 9553, 10449,
9554, 9446, 10556,...
Image of the first 1000 terms of U (coming from here:)
Bravo
and thank you, Charles and Georges, great job!
Best,
É.
_______________________
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