babs/emilia_new_preprocessor · Datasets at Hugging Face

input_ids sequencelengths 259 1.8k
[ 128000, 128002, 2675, 649, 1520, 856, 6691, 323, 499, 12, 2360, 13, 1472, 3287, 956, 5387, 264, 3958, 6671, 1203, 2162, 311, 636, 10791, 709, 304, 2500, 832, 1618, 13, 3639, 7077, 311, 499, 11, 9853, 12167, 30, 128003, 128005, 426, 1595, 1789, 1322, 983, 1151, 1403, 41, 1728, 1151, 1658, 1634, 847, 1478, 286, 1051, 1204, 1459, 749, 740, 1760, 323, 1310, 1245, 117, 550, 1565, 918, 1680, 479, 1439, 1002, 232, 1698, 522, 1403, 996, 1344, 705, 76, 741, 997, 1426, 1799, 995, 1696, 1613, 1155, 523, 1456, 940, 1794, 1210, 1199, 236, 852, 687, 798, 724, 1783, 269, 1409, 1396, 1121, 931, 341, 1064, 467, 1727, 1693, 1308, 1297, 170, 1193, 773, 13, 13, 890, 1706, 1645, 1554, 1019, 709, 970, 1563, 1642, 1742, 753, 1499, 1250, 467, 1712, 1766, 1056, 125, 1462, 609, 390, 1314, 88, 1055, 408, 1046, 367, 1647, 1540, 1824, 1489, 1823, 1053, 1500, 1400, 1364, 1704, 1212, 1322, 1779, 1125, 1262, 1797, 1637, 954, 495, 625, 1771, 1687, 925, 1658, 1667, 505, 1823, 85, 1440, 1667, 625, 1684, 1703, 1299, 1805, 1693, 804, 1021, 1545, 783, 1753, 518, 1036, 669, 1032, 1732, 735, 1295, 1615, 1591, 211, 939, 1214, 197, 388, 1533, 455, 52, 48, 716, 1020, 1569, 877, 1328, 847, 557, 1810, 343, 385, 465, 1508, 1069, 1226, 254, 267, 989, 461, 390, 1361, 979, 390, 1226, 1382, 1406, 1634, 1571, 1660, 980, 1027, 1175, 1253, 1462, 759, 312, 1383, 1749, 1548, 889, 239, 232, 656, 1686, 1073, 738, 1753, 109, 516, 973, 280, 1450, 211, 878, 79, 810, 320, 558, 1468, 358, 1399, 1697, 1790, 807, 127, 131, 1503, 862, 744, 294, 81, 971, 210, 1279, 210, 1134, 972, 1631, 1514, 1269, 827, 1457, 1776, 1304, 1373, 616, 1133, 1086, 720, 1733, 564, 1604, 481, 1431, 694, 1520, 642, 1430, 893, 848, 34, 1759, 1451, 105, 512, 1472, 81, 896, 875, 1623, 1695, 1475, 1182, 1762, 1318, 1517, 73, 1198, 441, 373, 1259, 1243, 1708, 622, 1143, 518, 1713, 1413, 1377, 1832, 1655, 610, 1736, 1221, 851, 514, 1785, 565, 686, 520, 1777, 131, 98, 1802, 1274, 697, 1079, 248, 1223, 93, 1293, 1610, 1267, 1803, 998, 1047, 458, 98, 1545, 568, 644, 1304, 381, 514, 1298, 476, 877, 1387, 1593, 1404, 1334, 1509, 1786, 529, 1085, 737, 1519, 572, 79, 368, 1640, 1328, 1178, 134, 1188, 1412, 1321, 1188, 1782, 1185, 1282, 1413, 1458, 1832, 1231, 1735, 1672, 1346, 1741, 1369, 145, 1748, 755, 1467, 349, 1258, 1812, 1053, 1429, 948, 579, 1397, 382, 827, 1088, 579, 1831, 665, 443, 672, 147, 1204, 1223, 388, 1239, 544, 1722, 1465, 697, 1189, 796, 107, 1445, 1544, 1629, 1068, 562, 404, 404, 631, 1483, 1438, 129, 1308, 261, 1441, 673, 1573, 286, 974, 1049, 213, 1470, 80, 1731, 529, 663, 1761, 303, 562, 860, 1068, 1815, 775, 1614, 1724, 784, 1617, 1805, 1658, 741, 814, 1821, 587, 568, 1340, 250, 1588, 1019, 1262, 1335, 950, 361, 1500, 1234, 1166, 1049, 1407, 732, 1353, 1833, 1339, 1410, 1025, 1766, 1750, 1814, 28, 1688, 865, 415, 1552, 1376, 1529, 1802, 1592, 1717, 1817, 185, 165, 244, 244, 128011, 128001 ]
[ 128000, 128002, 98362, 596, 8208, 11, 17510, 78296, 2884, 13, 1630, 374, 16926, 6859, 603, 709, 323, 2231, 603, 389, 2204, 78296, 13, 578, 2128, 596, 2586, 323, 733, 11, 719, 17510, 19037, 11, 649, 956, 4510, 433, 596, 13696, 13, 128003, 128005, 1788, 1226, 1420, 1344, 973, 741, 411, 1647, 370, 467, 57, 134, 1591, 1626, 1674, 1759, 725, 1213, 635, 298, 698, 1350, 1439, 127, 1376, 295, 428, 1212, 1346, 1707, 1734, 1748, 730, 607, 1818, 1308, 1610, 1372, 1645, 961, 1251, 191, 1421, 374, 1739, 386, 1655, 297, 820, 1472, 1622, 1749, 702, 1803, 1595, 1572, 1799, 1288, 1419, 1749, 1740, 1403, 1253, 1369, 1671, 1748, 1624, 463, 1382, 1282, 1426, 1794, 1787, 1407, 326, 1828, 1426, 952, 1492, 1619, 1161, 98, 1175, 1723, 1374, 858, 319, 357, 452, 1241, 206, 1337, 1724, 1795, 1791, 1794, 475, 1469, 127, 1645, 1358, 679, 1272, 1326, 1332, 1247, 361, 1393, 1807, 1419, 1797, 848, 6, 510, 1769, 1806, 1298, 1473, 1485, 1056, 1350, 1422, 1344, 1097, 1180, 1761, 827, 1423, 1147, 1320, 1812, 1638, 1730, 1408, 1677, 1635, 1827, 1730, 1239, 1730, 1595, 17, 719, 776, 1631, 1410, 1706, 822, 1147, 1532, 107, 637, 1231, 1715, 1370, 1715, 512, 329, 1337, 245, 452, 1337, 467, 1633, 1790, 1460, 135, 790, 543, 1241, 1747, 1212, 1811, 467, 637, 1488, 1727, 1607, 286, 1700, 1068, 1434, 1344, 1757, 263, 375, 6, 100, 794, 254, 1310, 1747, 333, 1703, 1580, 1542, 1196, 1219, 192, 836, 1764, 733, 774, 13, 1790, 1762, 132, 135, 782, 46, 430, 18, 295, 996, 550, 1454, 973, 87, 1437, 1656, 192, 1807, 1508, 1829, 1747, 1450, 181, 1439, 1753, 1651, 1486, 1381, 1563, 1565, 1453, 1528, 1478, 1802, 1826, 1319, 1792, 1655, 1266, 1765, 1543, 761, 1826, 1348, 1157, 1779, 1655, 1382, 1658, 32, 1471, 514, 1680, 1704, 738, 848, 1088, 1394, 263, 844, 181, 218, 117, 774, 841, 1356, 1416, 1468, 1729, 416, 1267, 1734, 1524, 1709, 1278, 1042, 1484, 1823, 1606, 333, 1678, 1790, 1483, 1727, 203, 1798, 1779, 1676, 213, 181, 49, 366, 1519, 0, 1677, 1468, 1686, 679, 1680, 1452, 1462, 1827, 1331, 1647, 1418, 1324, 1731, 1556, 1462, 1346, 1458, 1790, 1513, 276, 1160, 230, 927, 1568, 549, 1411, 28, 1040, 957, 1681, 1739, 377, 1752, 1346, 1338, 1763, 1609, 162, 206, 1468, 1447, 1759, 1786, 592, 510, 333, 1247, 1427, 290, 1409, 556, 1572, 143, 257, 1444, 416, 1364, 1387, 135, 882, 1364, 1726, 1760, 1036, 1498, 809, 874, 475, 1823, 1388, 1566, 651, 815, 1286, 1388, 1830, 1062, 91, 1287, 1464, 875, 1646, 1006, 1221, 467, 1754, 575, 1073, 354, 1710, 492, 1782, 828, 361, 531, 738, 1426, 1315, 1635, 1623, 363, 1801, 1684, 1590, 1675, 1801, 770, 1372, 1495, 1285, 495, 343, 1684, 1704, 859, 1118, 1310, 175, 372, 1649, 975, 1770, 1084, 1301, 297, 1268, 632, 898, 1146, 1520, 716, 750, 1325, 363, 592, 1710, 335, 206, 416, 522, 1278, 1694, 736, 1704, 1541, 1433, 1240, 380, 461, 1156, 1124, 1494, 1002, 1471, 1109, 1245, 1814, 1683, 1230, 830, 1817, 758, 740, 1746, 1236, 1475, 1325, 1071, 1314, 1462, 923, 1282, 1348, 1380, 1412, 758, 1469, 1322, 377, 1689, 995, 625, 1812, 325, 1413, 1802, 1151, 1461, 1669, 740, 1760, 1628, 740, 1760, 1514, 1319, 1713, 1236, 1419, 1543, 954, 1639, 1269, 1262, 1724, 859, 1669, 1693, 1157, 1703, 1480, 1601, 1585, 1246, 1669, 1514, 1262, 1634, 1266, 862, 1628, 1480, 1747, 625, 1338, 1672, 1231, 1763, 1614, 1346, 1817, 1514, 591, 1747, 572, 1751, 1465, 1320, 596, 1721, 1819, 868, 1813, 422, 929, 1218, 127, 1248, 1575, 1717, 1606, 1647, 1622, 836, 1736, 414, 787, 1422, 1440, 422, 930, 1449, 1661, 256, 1446, 1661, 1819, 32, 725, 117, 1586, 7, 631, 4, 1774, 1426, 757, 1104, 642, 1425, 1160, 1289, 1740, 1649, 734, 1807, 1310, 490, 319, 546, 1712, 1513, 1818, 1348, 1667, 1595, 1428, 1543, 740, 1176, 1538, 1346, 1748, 1783, 1601, 165, 156, 453, 244, 128011, 128001 ]
[ 128000, 128002, 72586, 13, 350, 13276, 0, 23371, 499, 1541, 956, 1390, 1063, 13, 128003, 128005, 450, 694, 1643, 911, 1298, 1166, 1178, 1509, 1500, 363, 1424, 29, 389, 525, 318, 374, 912, 186, 372, 157, 170, 616, 1019, 96, 104, 91, 100, 1741, 532, 968, 964, 563, 896, 799, 1623, 1538, 54, 1693, 345, 696, 1570, 1080, 505, 1570, 401, 426, 166, 1217, 290, 1061, 1573, 1337, 22, 380, 1810, 69, 202, 1366, 52, 890, 759, 592, 1395, 356, 1374, 510, 7, 1470, 471, 631, 1287, 372, 749, 870, 335, 368, 10, 230, 1675, 346, 502, 844, 181, 1415, 295, 510, 1351, 69, 1342, 356, 1593, 1603, 1779, 1352, 582, 1176, 375, 205, 1344, 357, 290, 380, 205, 1024, 49, 521, 1313, 263, 388, 940, 315, 22, 69, 1755, 529, 213, 1596, 1, 0, 1700, 350, 1620, 175, 1513, 1828, 867, 1628, 1811, 501, 761, 1570, 345, 1288, 1538, 740, 420, 1570, 670, 505, 377, 457, 1538, 1288, 345, 1362, 27, 1362, 659, 131, 625, 633, 496, 686, 559, 1536, 572, 377, 450, 227, 1474, 1669, 131, 450, 1319, 633, 1570, 670, 505, 1536, 484, 1627, 1290, 1817, 340, 1687, 335, 178, 28, 543, 1651, 1697, 901, 1437, 662, 725, 202, 744, 1415, 399, 1598, 245, 1690, 1488, 1521, 452, 1187, 910, 648, 1382, 1392, 1368, 1698, 1387, 1342, 1042, 1058, 1350, 637, 1210, 695, 848, 1449, 1695, 1571, 1546, 26, 1376, 749, 7, 863, 1588, 1358, 1804, 1337, 560, 1166, 1755, 1470, 292, 1712, 1364, 1451, 1672, 1091, 1672, 1660, 1313, 187, 165, 244, 219, 128011, 128001 ]
[ 128000, 128002, 35197, 5513, 34114, 4488, 62033, 1543, 505, 37653, 13739, 682, 922, 8325, 596, 5208, 11, 279, 5208, 430, 814, 2351, 3339, 449, 34323, 15194, 449, 279, 8325, 128003, 128005, 426, 377, 1749, 1634, 368, 135, 67, 1241, 232, 1350, 452, 794, 614, 860, 695, 499, 117, 1394, 788, 1657, 1730, 1724, 1266, 1763, 917, 1565, 256, 683, 1563, 344, 1572, 508, 67, 399, 1625, 65, 22, 945, 473, 1340, 1350, 1678, 1800, 890, 890, 30, 96, 409, 162, 349, 29, 1468, 1740, 1445, 1673, 1670, 361, 319, 1670, 577, 33, 197, 398, 1672, 1657, 1160, 1296, 1247, 319, 1620, 1773, 1141, 679, 870, 787, 1436, 1513, 1801, 634, 1685, 1698, 884, 1769, 1624, 731, 1353, 399, 1600, 1498, 1364, 1710, 714, 452, 1753, 570, 1053, 1646, 570, 1694, 1382, 1331, 1783, 1769, 1805, 1805, 1532, 1826, 1702, 175, 184, 1531, 22, 1078, 664, 182, 157, 107, 1330, 324, 2, 138, 269, 1078, 295, 1673, 1730, 1817, 1480, 1634, 172, 1470, 1287, 755, 1493, 182, 790, 395, 917, 200, 753, 714, 357, 1457, 1515, 679, 952, 33, 330, 966, 137, 356, 848, 1019, 1560, 10, 1661, 1516, 276, 298, 556, 276, 863, 67, 1229, 1353, 1615, 920, 515, 1571, 1166, 952, 1580, 1591, 1759, 954, 683, 1722, 758, 1469, 1703, 625, 1157, 1642, 476, 1655, 865, 1802, 230, 609, 184, 1586, 1088, 1398, 1398, 47, 191, 30, 62, 384, 529, 1267, 1709, 577, 753, 1176, 541, 759, 1833, 1518, 1688, 1441, 150, 314, 1713, 1563, 371, 321, 48, 22, 128, 1341, 519, 36, 1769, 65, 1662, 678, 1662, 931, 949, 931, 1729, 678, 1036, 138, 969, 372, 1708, 713, 1625, 1019, 592, 943, 1508, 1688, 1476, 1800, 522, 1492, 1241, 375, 1700, 375, 1247, 1468, 581, 1808, 1439, 1379, 1674, 1781, 1601, 1783, 218, 371, 157, 162, 128, 277, 797, 47, 164, 664, 65, 370, 205, 570, 1286, 1445, 372, 384, 24, 49, 1238, 1457, 339, 1087, 293, 764, 110, 529, 402, 892, 348, 1147, 15, 797, 834, 376, 1452, 1582, 1518, 529, 537, 53, 92, 537, 768, 560, 81, 376, 28, 1673, 1789, 499, 1724, 1721, 1748, 1288, 333, 1073, 1755, 164, 370, 753, 299, 13, 725, 393, 940, 364, 1540, 1568, 1273, 1523, 176, 714, 642, 1427, 1602, 271, 1341, 1561, 110, 1559, 100, 52, 46, 375, 1468, 858, 1623, 1696, 1654, 710, 1713, 282, 931, 117, 656, 1485, 1498, 609, 309, 63, 1073, 339, 143, 637, 306, 184, 140, 1326, 162, 983, 761, 1791, 636, 1673, 1755, 647, 1127, 759, 143, 1755, 375, 1340, 371, 1105, 483, 858, 1542, 129, 189, 848, 556, 1217, 1549, 362, 1494, 1344, 874, 1591, 1510, 1176, 1514, 1741, 1468, 375, 931, 1374, 595, 890, 1518, 1113, 1100, 412, 474, 1521, 140, 695, 297, 565, 1332, 372, 1618, 1469, 1353, 200, 36, 514, 1620, 49, 931, 448, 69, 175, 202, 714, 1513, 368, 1728, 364, 887, 51, 282, 759, 546, 1698, 1613, 823, 1354, 4, 931, 13, 282, 642, 407, 104, 289, 1692, 767, 687, 1515, 1513, 208, 774, 96, 678, 276, 218, 1400, 79, 812, 1231, 1657, 1354, 1699, 315, 519, 756, 1161, 262, 297, 398, 774, 895, 834, 1146, 682, 1146, 1584, 1606, 1175, 1791, 318, 1241, 1808, 330, 719, 1241, 382, 1807, 1436, 1667, 1672, 1600, 1338, 1693, 1634, 1640, 1615, 208, 125, 26, 92, 1608, 1696, 348, 46, 1166, 1440, 1657, 1713, 1269, 1292, 1400, 1549, 648, 408, 1544, 231, 110, 515, 1552, 858, 1398, 293, 184, 198, 320, 1670, 286, 57, 508, 108, 1629, 1461, 1250, 1601, 1447, 172, 882, 218, 388, 254, 110, 295, 346, 973, 234, 759, 756, 52, 844, 388, 65, 834, 7, 407, 52, 245, 1241, 245, 382, 1448, 1370, 1821, 1034, 329, 579, 330, 384, 1485, 764, 297, 711, 393, 682, 656, 339, 1607, 346, 393, 127, 270, 522, 1620, 1753, 1510, 1461, 499, 335, 1744, 276, 697, 848, 430, 930, 63, 202, 1669, 143, 1524, 1725, 508, 821, 110, 1521, 24, 945, 1712, 989, 1514, 1375, 656, 1795, 375, 1247, 1646, 375, 1795, 782, 782, 1763, 782, 1805, 1655, 1637, 710, 1722, 1703, 659, 1642, 1392, 1783, 1136, 98, 6, 192, 18, 1460, 1579, 1513, 1709, 399, 510, 1078, 290, 192, 298, 137, 319, 2, 1370, 138, 292, 700, 208, 1264, 774, 208, 1072, 1497, 208, 1286, 1610, 1832, 1269, 1734, 46, 1041, 983, 1748, 386, 1579, 362, 92, 1786, 1478, 1398, 1599, 1676, 1251, 1409, 132, 764, 508, 1180, 29, 1056, 768, 63, 461, 764, 587, 209, 165, 219, 244, 219, 128011, 128001 ]
[ 128000, 128002, 4071, 568, 3250, 956, 1650, 433, 459, 14479, 24468, 13, 1283, 3250, 956, 3604, 836, 433, 13, 128003, 128005, 288, 220, 1239, 1437, 996, 871, 552, 658, 849, 32, 416, 1710, 607, 29, 1718, 1039, 1266, 1759, 407, 737, 1095, 277, 637, 1052, 1624, 1439, 1547, 546, 1558, 1808, 966, 490, 1661, 1614, 1425, 1788, 1231, 1432, 595, 1569, 1819, 737, 1107, 974, 768, 1187, 1323, 1670, 1750, 1084, 1757, 1052, 1229, 1829, 1534, 1653, 1676, 1160, 1509, 998, 1407, 1572, 1006, 1423, 1517, 1443, 1226, 1435, 1790, 1650, 196, 287, 1377, 1789, 1258, 1127, 1410, 1087, 1042, 1429, 1455, 1220, 1596, 1507, 1448, 1833, 1543, 1774, 1550, 861, 1357, 843, 984, 1764, 1446, 1655, 345, 633, 1725, 56, 670, 131, 256, 1543, 1480, 1011, 512, 1722, 1313, 1342, 1722, 178, 1524, 1228, 231, 325, 344, 1627, 1244, 1634, 606, 692, 1176, 345, 1338, 641, 227, 343, 56, 442, 1480, 21, 442, 505, 226, 1667, 227, 334, 1146, 442, 1099, 1034, 360, 1034, 1713, 986, 1082, 27, 1589, 1685, 624, 989, 1514, 676, 788, 227, 1164, 1654, 241, 1091, 131, 1128, 640, 193, 1164, 1669, 334, 1009, 304, 981, 1528, 464, 1120, 625, 331, 1035, 256, 950, 426, 167, 1639, 227, 1080, 1176, 56, 1338, 1080, 457, 1474, 56, 420, 151, 194, 542, 342, 220, 56, 194, 1377, 226, 1266, 131, 167, 1551, 304, 1753, 1708, 1281, 183, 1474, 1715, 1706, 1435, 596, 1126, 737, 836, 1350, 1673, 778, 1441, 1643, 1729, 0, 1509, 1267, 1407, 1409, 1286, 1078, 203, 1253, 1058, 1214, 1215, 78, 1139, 1439, 895, 232, 1627, 368, 1775, 1509, 1736, 1414, 1827, 1296, 126, 1818, 1039, 1613, 831, 1765, 1565, 1761, 502, 1409, 495, 1600, 1401, 1794, 930, 1757, 1381, 426, 481, 987, 1632, 1756, 1312, 1306, 1299, 761, 1491, 256, 5, 1548, 1319, 235, 165, 244, 244, 128011, 128001 ]
[ 128000, 128002, 72765, 25761, 13, 8840, 856, 342, 9451, 11, 1587, 5606, 1524, 6227, 279, 25761, 9698, 30, 1472, 1440, 16102, 11, 358, 1781, 814, 1051, 2216, 2216, 1695, 11, 5423, 304, 24050, 279, 36231, 15861, 323, 7231, 603, 264, 8941, 315, 810, 7185, 2574, 311, 3137, 922, 9002, 433, 323, 14224, 264, 15860, 315, 7155, 2815, 51134, 430, 13678, 301, 62454, 704, 13, 128003, 128005, 436, 1035, 50, 927, 1253, 302, 889, 382, 969, 775, 243, 862, 263, 295, 395, 716, 47, 639, 308, 129, 1326, 1588, 132, 1376, 1542, 230, 1441, 1808, 631, 1463, 86, 1221, 1624, 1521, 47, 1625, 388, 153, 1253, 153, 1261, 1097, 510, 1177, 18, 479, 1398, 500, 1633, 1682, 556, 1755, 1564, 1615, 1553, 1623, 1691, 1137, 1327, 1421, 1807, 1306, 1705, 1795, 1298, 1677, 1485, 1496, 895, 1718, 1045, 1537, 79, 904, 249, 813, 63, 887, 388, 172, 565, 218, 491, 479, 263, 723, 330, 579, 587, 195, 1226, 110, 440, 903, 46, 1485, 200, 1649, 556, 1015, 882, 1513, 1075, 502, 1352, 1698, 0, 1625, 1501, 1654, 1787, 298, 4, 362, 213, 510, 631, 448, 1166, 454, 6, 715, 328, 546, 1355, 546, 1724, 1230, 1580, 1752, 1379, 1592, 1448, 1822, 1717, 274, 1784, 1202, 1281, 882, 1107, 312, 1755, 1789, 750, 1542, 1482, 1464, 384, 1345, 108, 110, 917, 1759, 357, 609, 875, 901, 1077, 234, 1122, 252, 380, 757, 324, 206, 461, 518, 104, 372, 1399, 430, 520, 1398, 502, 909, 1683, 1116, 1425, 454, 682, 158, 243, 1258, 79, 179, 797, 1143, 339, 39, 1229, 309, 83, 759, 1077, 658, 1183, 536, 157, 1661, 1584, 349, 1415, 416, 940, 1691, 631, 1240, 1743, 1027, 1221, 362, 409, 519, 183, 1731, 791, 243, 1022, 1105, 253, 113, 1326, 276, 239, 1331, 1310, 1286, 1310, 1391, 1172, 1229, 753, 1286, 1078, 1318, 1306, 155, 1592, 452, 1407, 1403, 454, 901, 47, 1409, 1583, 18, 1285, 1652, 595, 1618, 903, 125, 843, 1403, 52, 1138, 1468, 774, 1816, 1636, 1488, 1656, 1004, 1295, 1056, 853, 100, 1109, 593, 860, 1831, 1711, 715, 834, 1460, 1789, 605, 903, 1371, 1024, 1053, 312, 1520, 1241, 628, 232, 110, 110, 95, 269, 218, 658, 1803, 577, 1127, 935, 276, 1407, 1581, 780, 1723, 758, 1178, 1013, 664, 293, 1593, 138, 1019, 51, 407, 1218, 1712, 1596, 1725, 1344, 1042, 479, 206, 1304, 1520, 1459, 41, 900, 1739, 1745, 400, 1002, 1687, 1781, 1486, 1086, 477, 214, 996, 1423, 1056, 1247, 1511, 372, 376, 683, 753, 1069, 980, 1229, 41, 1441, 1243, 1671, 1700, 1656, 1387, 15, 1533, 1518, 1552, 1759, 1332, 197, 1081, 1415, 1257, 711, 0, 1437, 1351, 503, 775, 945, 1613, 719, 1581, 1295, 286, 1388, 62, 943, 941, 1698, 348, 1818, 154, 286, 399, 448, 1789, 640, 1549, 1738, 454, 1826, 1230, 400, 1648, 1082, 1422, 1714, 493, 1795, 495, 865, 861, 928, 995, 578, 1342, 1141, 1353, 320, 200, 1635, 228, 1008, 969, 913, 1296, 1804, 1163, 1716, 1708, 872, 1127, 1210, 424, 1056, 1686, 181, 515, 1179, 146, 1498, 989, 277, 1416, 529, 940, 356, 190, 1217, 592, 129, 962, 648, 1087, 1124, 755, 1774, 335, 157, 617, 1794, 100, 1147, 1160, 1241, 1656, 1292, 1511, 1268, 1027, 1658, 1279, 1701, 967, 1495, 957, 563, 1360, 624, 1429, 393, 270, 88, 589, 43, 498, 596, 47, 775, 182, 1656, 1404, 1382, 702, 1496, 687, 1110, 592, 1395, 104, 1668, 69, 29, 1751, 1399, 1483, 183, 1709, 1239, 1355, 157, 1180, 137, 1416, 560, 49, 1521, 798, 380, 1545, 1241, 1426, 770, 775, 1712, 1827, 996, 1534, 1462, 1437, 1252, 1420, 1454, 1505, 1366, 515, 564, 1137, 1079, 1444, 803, 114, 1154, 832, 932, 1506, 216, 946, 37, 1473, 381, 1055, 293, 1446, 2, 1607, 774, 195, 665, 738, 380, 1490, 128, 1453, 79, 1804, 155, 931, 1365, 49, 949, 1697, 384, 1708, 999, 1402, 1274, 1431, 317, 1353, 1345, 1833, 581, 1044, 688, 110, 1521, 430, 9, 536, 128, 502, 1351, 581, 1245, 52, 1452, 850, 1214, 1511, 1530, 1091, 1468, 878, 170, 629, 117, 599, 367, 48, 1212, 604, 128, 488, 1661, 1082, 577, 310, 1786, 0, 874, 293, 682, 1810, 335, 483, 6, 510, 870, 213, 599, 1238, 1363, 1694, 1547, 1685, 1279, 461, 816, 518, 384, 135, 723, 424, 1056, 687, 1251, 1647, 985, 1498, 549, 927, 28, 648, 1097, 269, 725, 1019, 153, 1308, 647, 128, 356, 1823, 1761, 315, 203, 1394, 1221, 1361, 962, 1022, 1416, 1340, 1356, 1034, 1459, 847, 122, 1482, 502, 1008, 1623, 1638, 1488, 1651, 276, 599, 50, 315, 870, 202, 822, 822, 50, 556, 356, 213, 715, 154, 1519, 1688, 273, 786, 554, 1693, 981, 1173, 1189, 218, 248, 1450, 318, 1136, 1366, 430, 1330, 687, 1337, 1206, 157, 1596, 609, 357, 184, 1670, 519, 737, 1513, 1803, 1505, 714, 890, 128, 155, 683, 714, 1217, 983, 4, 1195, 1675, 848, 738, 1614, 1412, 1716, 1519, 1439, 1668, 454, 1651, 495, 1139, 1829, 1329, 1450, 1797, 1139, 1761, 1752, 1583, 1704, 1255, 866, 651, 435, 1145, 1211, 1089, 782, 125, 438, 1664, 481, 1393, 658, 1790, 1247, 1766, 1752, 1126, 306, 102, 112, 1423, 1194, 371, 84, 1526, 637, 607, 1040, 157, 703, 911, 467, 1530, 400, 297, 368, 687, 1615, 687, 117, 1790, 556, 1631, 1308, 1468, 409, 1433, 1008, 213, 32, 502, 1727, 1015, 648, 1267, 104, 1019, 1022, 858, 1767, 1830, 1468, 1506, 1204, 1253, 716, 128, 748, 665, 599, 904, 629, 137, 1470, 1826, 295, 648, 1451, 519, 1807, 1282, 1287, 1803, 1139, 1701, 1306, 454, 1770, 1329, 736, 1448, 782, 1795, 1397, 1225, 981, 795, 1011, 1264, 1241, 1180, 944, 479, 1240, 1353, 253, 1382, 1281, 1494, 1581, 22, 1693, 733, 1691, 1588, 1375, 245, 992, 529, 100, 1081, 1468, 1407, 1479, 1436, 1304, 2, 1753, 903, 189, 1103, 183, 1776, 992, 231, 407, 1189, 910, 254, 595, 1402, 901, 910, 1661, 129, 1018, 1241, 153, 1524, 1403, 1769, 1589, 1549, 1327, 1067, 386, 1186, 76, 1368, 298, 1358, 1453, 1316, 1077, 1003, 1803, 1640, 636, 181, 631, 400, 1466, 1797, 1126, 1632, 1278, 1314, 1639, 639, 1489, 864, 829, 1431, 152, 1666, 107, 1526, 138, 907, 1069, 104, 789, 1820, 152, 1807, 1368, 1027, 770, 1651, 759, 1651, 944, 777, 1312, 1161, 1733, 1096, 1830, 1403, 1291, 1048, 631, 1471, 998, 836, 1819, 1275, 1078, 1630, 1326, 29, 1593, 948, 1081, 1794, 22, 1731, 328, 1004, 58, 1450, 1245, 1542, 333, 1472, 1727, 1451, 1607, 154, 1, 719, 927, 1372, 1431, 1382, 1800, 230, 549, 1624, 198, 1217, 554, 454, 1276, 816, 848, 1341, 631, 1516, 197, 348, 1263, 1104, 1519, 1584, 1692, 333, 1807, 1320, 868, 1237, 802, 1166, 191, 1786, 1519, 1366, 443, 1813, 328, 1482, 1518, 129, 782, 911, 907, 1701, 700, 1791, 1711, 1759, 1360, 1552, 1476, 372, 1178, 1699, 1178, 1195, 1297, 173, 53, 1457, 306, 1318, 408, 138, 1107, 764, 306, 1645, 65, 1755, 1680, 1298, 1336, 1059, 1420, 967, 1738, 1131, 1123, 446, 475, 736, 309, 1155, 658, 660, 1345, 73, 1002, 887, 1499, 1161, 1026, 1793, 1060, 1738, 959, 1382, 662, 999, 205, 59, 1476, 444, 538, 1700, 1732, 741, 868, 660, 931, 880, 1186, 547, 1194, 565, 1004, 1122, 245, 443, 810, 1720, 1189, 1714, 800, 966, 195, 1709, 197, 1394, 1252, 858, 719, 1174, 315, 1761, 931, 1470, 1787, 1524, 1369, 1764, 28, 1553, 782, 1524, 1489, 599, 1428, 1320, 767, 1504, 1342, 1752, 1333, 1074, 1123, 624, 964, 1232, 535, 847, 1089, 1166, 682, 615, 1661, 775, 697, 642, 1072, 461, 84, 983, 958, 461, 212, 520, 874, 573, 446, 51, 1511, 1389, 771, 1306, 1170, 1401, 92, 607, 1053, 947, 1308, 153, 1445, 328, 201, 1470, 18, 1376, 1638, 1272, 1077, 239, 1483, 687, 195, 395, 1748, 1009, 1161, 443, 1250, 1027, 1192, 519, 1104, 1483, 129, 1416, 1600, 1588, 593, 659, 846, 1267, 160, 1359, 1813, 1730, 1438, 697, 660, 813, 479, 1113, 720, 36, 127, 844, 592, 904, 1008, 648, 1776, 1488, 1345, 1287, 725, 858, 1462, 1310, 1772, 1671, 1078, 1258, 955, 755, 697, 777, 890, 1177, 1423, 1460, 1503, 1649, 1690, 1828, 1758, 1478, 1118, 1423, 1686, 1498, 1426, 1628, 1825, 1311, 937, 348, 1361, 1353, 1793, 1347, 249, 514, 109, 1704, 1282, 433, 134, 1139, 703, 1273, 1517, 893, 516, 1719, 1639, 213, 1247, 547, 93, 514, 277, 309, 466, 573, 408, 349, 115, 1686, 522, 306, 123, 230, 665, 395, 1818, 1325, 1336, 1823, 1160, 1400, 631, 1517, 944, 113, 248, 979, 522, 106, 841, 282, 115, 1097, 522, 115, 864, 794, 184, 328, 295, 52, 844, 117, 1226, 1287, 1826, 1259, 0, 1735, 927, 1677, 1393, 927, 1797, 1036, 117, 1820, 1329, 1701, 1458, 1665, 933, 460, 691, 1033, 1313, 797, 1647, 324, 1136, 1034, 412, 502, 875, 1088, 703, 1383, 374, 1163, 1182, 972, 362, 1019, 1181, 1668, 1785, 719, 129, 782, 599, 117, 1205, 1342, 1466, 958, 210, 1212, 370, 798, 1002, 306, 768, 359, 473, 173, 1742, 547, 632, 63, 1455, 903, 829, 1791, 1174, 1581, 1033, 1193, 1181, 1504, 516, 1814, 1005, 1437, 368, 1098, 1786, 639, 1328, 887, 1356, 1132, 607, 678, 1100, 1344, 934, 1056, 926, 1702, 1056, 815, 1636, 935, 1811, 1065, 1294, 1600, 52, 1403, 1161, 1683, 1611, 1826, 17, 1010, 1220, 573, 958, 210, 1258, 800, 147, 88, 1075, 1072, 76, 84, 910, 1422, 827, 248, 1757, 1320, 1237, 917, 1637, 1240, 22, 687, 1337, 1230, 1439, 1704, 1212, 1476, 1489, 400, 1790, 1355, 927, 1746, 1329, 1412, 1230, 128011, 128001 ]
[ 128000, 128002, 40, 1781, 3582, 856, 1566, 63911, 2835, 574, 1093, 2380, 1667, 4227, 13, 1442, 358, 2846, 539, 37104, 11, 433, 574, 389, 15013, 56147, 716, 13, 358, 4250, 4510, 430, 574, 856, 1566, 2835, 13, 358, 2733, 779, 3958, 430, 358, 9167, 956, 2728, 904, 6666, 311, 279, 14964, 19562, 430, 304, 856, 9647, 706, 17454, 264, 2763, 315, 128003, 128005, 1172, 751, 1265, 589, 570, 172, 910, 376, 714, 1633, 1690, 848, 1829, 1166, 376, 234, 1394, 608, 65, 692, 1217, 1365, 1833, 865, 1673, 1742, 1193, 560, 367, 182, 182, 972, 123, 191, 508, 269, 987, 1588, 407, 297, 1252, 550, 324, 798, 218, 547, 965, 79, 57, 926, 1502, 319, 1149, 297, 102, 520, 270, 374, 76, 550, 82, 282, 522, 1066, 424, 560, 725, 1311, 903, 320, 362, 549, 502, 1646, 1278, 1744, 1720, 719, 1654, 1677, 1766, 1817, 493, 1797, 1421, 1280, 1206, 1218, 1075, 1022, 1281, 384, 1542, 1300, 510, 876, 945, 519, 911, 1412, 1068, 1494, 1401, 1287, 510, 1296, 315, 57, 736, 347, 1778, 1678, 1584, 1631, 604, 1047, 1296, 1485, 1635, 750, 1004, 949, 1607, 62, 527, 843, 218, 158, 1340, 181, 1675, 818, 107, 1690, 822, 1046, 703, 903, 1444, 903, 1698, 1295, 1460, 952, 506, 1816, 1611, 1207, 687, 890, 74, 289, 1581, 849, 759, 1633, 1376, 132, 4, 298, 1129, 757, 1147, 179, 800, 569, 479, 181, 95, 1300, 407, 1081, 767, 1401, 1774, 1588, 1682, 239, 1678, 1739, 1649, 1730, 1770, 1701, 950, 669, 1451, 979, 1206, 123, 214, 1248, 1532, 617, 171, 1391, 853, 969, 683, 1534, 512, 1272, 1633, 201, 1502, 1734, 1259, 1737, 1166, 738, 365, 943, 1365, 619, 128, 1676, 356, 738, 817, 234, 987, 1009, 57, 629, 1654, 1241, 775, 634, 320, 1240, 4, 132, 1700, 26, 940, 1281, 1074, 1, 143, 1629, 434, 1403, 303, 217, 1677, 604, 93, 1482, 759, 1192, 1047, 428, 657, 1635, 1256, 1030, 775, 428, 1295, 1082, 474, 1487, 767, 966, 1709, 362, 1661, 1220, 816, 777, 587, 682, 1708, 1476, 1501, 639, 1312, 1008, 205, 1004, 282, 524, 291, 422, 282, 1261, 1680, 966, 917, 1596, 774, 1420, 400, 864, 1350, 213, 384, 870, 510, 1161, 372, 6, 1568, 1411, 1261, 374, 295, 289, 1004, 6, 1647, 714, 1773, 1433, 493, 1410, 1439, 996, 973, 46, 1661, 1253, 407, 29, 1312, 1665, 1073, 909, 1327, 1494, 326, 1026, 1432, 700, 1398, 409, 129, 648, 631, 1073, 628, 321, 324, 203, 966, 800, 303, 1678, 700, 1068, 1292, 297, 1467, 22, 644, 377, 1452, 617, 1721, 874, 105, 1659, 1230, 1136, 214, 1740, 1292, 664, 211, 1510, 1206, 530, 1687, 843, 905, 1707, 1660, 230, 176, 73, 1225, 113, 1509, 375, 203, 989, 225, 1346, 1429, 437, 1279, 1583, 1378, 708, 1186, 1422, 443, 789, 1057, 1636, 575, 1245, 382, 615, 1804, 1253, 240, 1481, 1358, 1123, 999, 1429, 1393, 493, 1799, 1098, 1519, 1279, 1212, 1556, 1397, 19, 939, 630, 1297, 723, 711, 179, 697, 67, 755, 780, 1353, 1396, 1412, 1690, 1342, 440, 1245, 789, 479, 863, 1431, 943, 1645, 1607, 1370, 798, 1535, 1670, 1388, 1175, 1341, 868, 205, 876, 1178, 573, 215, 116, 1484, 1171, 1113, 205, 411, 1324, 1171, 1427, 1651, 1488, 1525, 1314, 1598, 1279, 1307, 1213, 1800, 203, 397, 688, 1257, 1214, 0, 182, 917, 989, 533, 1240, 293, 738, 1170, 1074, 1698, 945, 1723, 989, 1709, 134, 1637, 1750, 1233, 1320, 977, 452, 723, 113, 847, 393, 1001, 371, 210, 1459, 186, 569, 1036, 393, 221, 1415, 790, 961, 1247, 874, 1136, 794, 1335, 1393, 1651, 1456, 1434, 1793, 1003, 1720, 1716, 1505, 1543, 926, 861, 1826, 721, 1406, 1735, 825, 703, 1024, 973, 1048, 640, 576, 1549, 52, 1470, 749, 519, 1796, 1568, 1013, 1145, 806, 1008, 1135, 221, 1492, 271, 1258, 402, 117, 466, 1410, 1086, 966, 1351, 1501, 1720, 1155, 1680, 1357, 1494, 910, 1712, 697, 1245, 186, 1229, 324, 1086, 579, 642, 658, 53, 985, 579, 364, 1389, 1034, 408, 1663, 1166, 92, 510, 52, 1342, 1376, 870, 1349, 183, 1651, 870, 1069, 1035, 1596, 1750, 736, 385, 938, 1494, 1505, 989, 388, 488, 1655, 821, 1789, 1488, 1775, 817, 510, 217, 1825, 605, 67, 112, 1816, 849, 794, 112, 1635, 948, 660, 397, 1460, 1086, 1333, 642, 1100, 1647, 461, 1107, 847, 977, 1264, 186, 93, 1394, 483, 910, 452, 1139, 1402, 1521, 1502, 1677, 1166, 1827, 1342, 1270, 1489, 1337, 1666, 1521, 749, 1435, 882, 1245, 1427, 1661, 1119, 1463, 1758, 1187, 1558, 1468, 92, 298, 637, 18, 276, 239, 202, 1166, 1422, 409, 1364, 507, 858, 1317, 973, 794, 910, 856, 182, 1686, 47, 621, 48, 1069, 1488, 1394, 1432, 1119, 1776, 1745, 716, 216, 676, 984, 1025, 1171, 173, 234, 153, 730, 1082, 1182, 173, 200, 218, 1129, 138, 642, 1170, 309, 248, 1088, 309, 210, 47, 364, 806, 1094, 874, 748, 1701, 1630, 1830, 1178, 1731, 1411, 1410, 1486, 989, 1438, 1292, 1034, 1227, 1050, 1059, 1205, 493, 1802, 1714, 1349, 891, 465, 563, 199, 1028, 1424, 1511, 565, 1173, 524, 461, 816, 339, 1276, 25, 1053, 412, 882, 1247, 127, 604, 1326, 502, 595, 1015, 1029, 816, 1259, 565, 552, 1029, 573, 1607, 22, 615, 1707, 239, 269, 1473, 821, 679, 1530, 1354, 1008, 673, 1631, 835, 1617, 1018, 1526, 788, 714, 657, 1146, 1712, 196, 1129, 1144, 1241, 825, 527, 836, 1722, 348, 1081, 1175, 1625, 1745, 1451, 1475, 1256, 1649, 1129, 822, 1331, 1340, 1394, 123, 1387, 1532, 1372, 4, 1808, 47, 890, 1401, 1091, 1027, 158, 1701, 1756, 363, 1600, 124, 407, 189, 719, 1313, 1256, 1229, 595, 695, 870, 1022, 1633, 858, 1534, 701, 688, 1613, 1287, 1778, 399, 1091, 1393, 328, 1098, 36, 1804, 919, 184, 1695, 870, 662, 1585, 1022, 1530, 1580, 22, 333, 213, 719, 372, 822, 1028, 919, 1770, 678, 1801, 11, 310, 1642, 483, 1564, 328, 1444, 1270, 787, 1379, 848, 1509, 1573, 1802, 905, 885, 963, 1362, 999, 1818, 409, 1341, 784, 1300, 1692, 654, 1083, 867, 510, 1093, 685, 1424, 1358, 634, 1799, 1637, 1768, 1144, 1637, 1632, 1333, 715, 642, 529, 483, 1047, 767, 1241, 1127, 1364, 844, 682, 1663, 1024, 1772, 1554, 935, 1639, 1563, 1470, 356, 1754, 1306, 927, 1397, 1097, 1135, 632, 535, 573, 958, 162, 152, 997, 535, 956, 370, 324, 1136, 1743, 1403, 57, 276, 52, 631, 320, 1287, 1519, 368, 1681, 1036, 110, 341, 1661, 605, 656, 214, 884, 1604, 1425, 1649, 1719, 1738, 333, 1466, 1370, 1451, 1225, 1139, 58, 1271, 147, 1584, 996, 440, 467, 1500, 375, 1731, 277, 1600, 402, 1164, 361, 519, 593, 1543, 1487, 1662, 26, 927, 230, 398, 1517, 1174, 1041, 614, 1374, 393, 1193, 79, 560, 1258, 1078, 1180, 430, 1155, 774, 1796, 1075, 1287, 108, 183, 298, 1786, 934, 1382, 1089, 860, 157, 520, 844, 711, 1086, 1332, 828, 1789, 510, 898, 803, 467, 537, 115, 1506, 208, 215, 757, 271, 329, 43, 374, 1382, 100, 907, 43, 113, 1772, 1422, 1526, 1395, 639, 1279, 1403, 1311, 203, 45, 679, 949, 286, 1800, 1412, 178, 1344, 945, 714, 787, 286, 1240, 1401, 428, 1463, 1723, 1701, 1440, 1815, 736, 1666, 440, 1677, 1306, 822, 1448, 1088, 1450, 1738, 782, 1818, 1466, 1349, 1553, 1665, 666, 301, 1292, 1067, 719, 1135, 1180, 208, 106, 1415, 383, 868, 95, 749, 376, 1312, 911, 182, 1521, 648, 890, 1027, 1394, 1800, 1691, 1702, 1037, 1094, 1271, 113, 514, 1345, 958, 955, 309, 1132, 39, 1180, 961, 579, 589, 844, 306, 1680, 452, 1022, 1372, 989, 705, 1565, 388, 1764, 858, 1312, 333, 1243, 1720, 1624, 1444, 639, 1768, 1347, 1722, 1472, 651, 717, 40, 465, 984, 624, 314, 486, 1319, 257, 486, 851, 487, 1246, 544, 673, 496, 257, 673, 975, 762, 555, 566, 490, 1456, 1042, 1656, 1196, 1196, 123, 1805, 966, 803, 85, 191, 935, 862, 1015, 536, 1335, 462, 576, 791, 589, 841, 880, 474, 146, 997, 81, 215, 248, 146, 303, 479, 1280, 1428, 1434, 1372, 700, 205, 917, 1485, 951, 1651, 1259, 847, 192, 55, 1748, 595, 102, 1581, 1313, 1047, 1831, 1161, 1452, 714, 1337, 1682, 1166, 1754, 1803, 1532, 1434, 1714, 156, 165, 453, 244, 128011, 128001 ]
[ 128000, 128002, 20552, 84756, 6170, 2751, 389, 279, 2875, 842, 315, 279, 9396, 11, 719, 304, 420, 2835, 584, 2351, 12967, 1063, 6666, 1203, 311, 433, 304, 26765, 1841, 37726, 11277, 7742, 13, 2100, 22371, 7752, 11, 10788, 1203, 311, 2500, 16795, 656, 4084, 5788, 13, 128003, 128005, 223, 674, 855, 816, 665, 816, 576, 192, 1409, 137, 319, 831, 725, 1026, 1470, 363, 428, 1315, 380, 1520, 1047, 205, 683, 1663, 637, 1819, 255, 1015, 945, 1412, 616, 206, 397, 1326, 69, 1500, 318, 966, 1221, 50, 1732, 1801, 822, 191, 1497, 640, 1813, 1528, 1493, 921, 1255, 1767, 711, 104, 1823, 1002, 1171, 1774, 1226, 841, 116, 892, 997, 1320, 637, 125, 1015, 664, 575, 827, 711, 913, 1690, 1368, 1526, 1320, 1083, 104, 293, 1335, 725, 376, 1253, 1476, 1193, 1457, 1574, 945, 1460, 1618, 154, 510, 519, 315, 1422, 1364, 230, 1450, 440, 183, 1583, 1061, 1652, 902, 955, 829, 512, 306, 364, 352, 1324, 985, 695, 1253, 794, 695, 495, 1300, 312, 1763, 1217, 834, 1688, 579, 716, 546, 1022, 1563, 1, 1447, 556, 802, 1256, 340, 1034, 989, 1229, 847, 574, 326, 508, 1466, 1278, 839, 225, 192, 126, 1298, 407, 1141, 1351, 794, 973, 1466, 1241, 983, 1492, 1212, 1686, 725, 683, 310, 1776, 719, 1671, 687, 158, 385, 1009, 903, 815, 1215, 868, 1068, 1238, 700, 1552, 213, 452, 335, 356, 886, 198, 736, 1642, 554, 1654, 999, 1210, 1675, 157, 55, 746, 461, 934, 889, 13, 1715, 328, 1336, 1432, 1772, 1285, 1568, 1010, 516, 1510, 1245, 1135, 730, 217, 79, 695, 493, 1029, 860, 479, 217, 1416, 1091, 1790, 1351, 728, 1554, 592, 953, 344, 293, 1014, 687, 243, 1093, 157, 1618, 848, 46, 510, 1337, 409, 1382, 308, 1364, 1826, 519, 1755, 1744, 1364, 1787, 1314, 1002, 482, 428, 1653, 1556, 780, 1733, 644, 52, 197, 1161, 232, 1498, 897, 560, 1670, 1295, 1651, 626, 1776, 1666, 1198, 892, 1243, 1307, 940, 683, 109, 1448, 1590, 444, 1123, 1782, 1595, 1278, 1341, 590, 1484, 1698, 898, 65, 397, 13, 52, 716, 1078, 1238, 1369, 1270, 203, 1636, 502, 203, 759, 1756, 1227, 0, 1340, 1544, 409, 298, 399, 129, 1677, 741, 408, 1261, 1139, 92, 312, 1831, 1651, 1224, 371, 1161, 952, 719, 1388, 1713, 848, 549, 315, 362, 1279, 1074, 1190, 441, 152, 687, 434, 1286, 479, 126, 1828, 19, 1680, 230, 753, 298, 296, 1287, 822, 1206, 783, 979, 1611, 328, 158, 1612, 849, 856, 1514, 1751, 86, 1484, 164, 260, 315, 147, 1041, 25, 535, 260, 383, 115, 1746, 463, 361, 277, 1301, 1031, 941, 1828, 1382, 1817, 430, 556, 1282, 440, 1830, 860, 616, 1735, 1296, 112, 1598, 656, 532, 1376, 705, 1397, 725, 814, 1751, 1505, 1121, 328, 1671, 1410, 1364, 1799, 927, 1646, 1770, 454, 1754, 1436, 1364, 1668, 1146, 1292, 1745, 1175, 1109, 1242, 918, 978, 1375, 1399, 844, 521, 731, 687, 835, 533, 200, 702, 870, 615, 1737, 1782, 603, 1786, 375, 1404, 858, 1400, 1611, 454, 1099, 1774, 549, 446, 320, 18, 1004, 46, 182, 1460, 577, 520, 1161, 13, 58, 493, 774, 1732, 202, 648, 1376, 46, 440, 213, 1286, 1237, 1004, 1174, 1389, 1636, 1272, 192, 312, 1657, 1636, 1520, 1819, 1819, 1288, 1278, 371, 1651, 901, 1278, 639, 1089, 1194, 797, 571, 215, 491, 1141, 956, 309, 87, 83, 384, 1372, 1200, 346, 443, 1653, 282, 844, 556, 157, 1364, 18, 1296, 1776, 755, 855, 1280, 208, 352, 1170, 309, 497, 581, 88, 1427, 383, 973, 319, 595, 1340, 549, 1403, 1720, 1310, 1821, 1746, 1556, 1648, 927, 1400, 1568, 1287, 1675, 1174, 518, 1069, 1125, 1141, 13, 1636, 605, 907, 952, 440, 983, 1737, 471, 1008, 1035, 787, 1543, 903, 810, 1205, 671, 1405, 1018, 1436, 69, 1287, 1681, 989, 364, 671, 232, 293, 850, 719, 67, 716, 1763, 254, 1491, 320, 882, 1485, 198, 52, 1524, 713, 1735, 1489, 208, 1490, 170, 1221, 961, 135, 1263, 714, 1372, 100, 1389, 1272, 356, 1814, 1803, 1403, 1622, 1225, 1638, 1739, 231, 1808, 1306, 782, 1809, 1329, 1287, 1556, 1034, 1646, 1306, 767, 1809, 1230, 1637, 735, 976, 460, 561, 507, 1270, 198, 213, 1035, 1160, 813, 858, 1041, 1127, 7, 324, 926, 104, 847, 245, 147, 697, 208, 260, 138, 138, 1457, 253, 1526, 1466, 292, 300, 93, 2, 212, 138, 146, 221, 113, 73, 202, 543, 1477, 1310, 705, 1394, 46, 848, 556, 1073, 1827, 1332, 1776, 1678, 319, 1380, 700, 1122, 839, 508, 147, 497, 79, 270, 1263, 1056, 931, 1369, 1598, 1647, 1501, 1758, 599, 1372, 1312, 1400, 1189, 1793, 1217, 623, 75, 1420, 1438, 106, 1511, 537, 82, 927, 81, 497, 656, 115, 1196, 517, 221, 1554, 1160, 1019, 929, 1297, 1541, 1230, 1439, 1300, 714, 1176, 1367, 1196, 1187, 901, 834, 1022, 833, 1022, 1388, 849, 503, 345, 1300, 389, 1168, 956, 917, 687, 855, 1677, 550, 476, 1077, 936, 637, 653, 889, 503, 1094, 787, 381, 1104, 90, 1809, 1467, 1433, 1646, 1552, 1091, 749, 1234, 746, 488, 1736, 166, 116, 1829, 631, 269, 26, 201, 175, 863, 1616, 1738, 1688, 1004, 1068, 533, 1340, 1584, 527, 983, 1619, 26, 191, 1617, 848, 1534, 1549, 1747, 1301, 1573, 1138, 975, 761, 1768, 1283, 749, 1256, 777, 1166, 408, 1222, 179, 524, 1271, 552, 271, 1076, 1135, 1051, 321, 1411, 481, 1106, 1622, 1652, 927, 1411, 977, 989, 73, 1145, 1800, 807, 1556, 490, 594, 459, 40, 513, 1276, 1294, 1153, 1478, 396, 991, 609, 272, 687, 150, 1062, 1164, 210, 1488, 1171, 106, 492, 1029, 306, 112, 714, 203, 1339, 1125, 1811, 1073, 656, 1795, 687, 1175, 1349, 479, 809, 1241, 1459, 1174, 295, 310, 1057, 1286, 515, 1809, 1496, 1530, 1741, 1337, 1481, 943, 1743, 1720, 1034, 1829, 1212, 822, 1160, 1034, 156, 165, 244, 244, 128011, 128001 ]
[ 128000, 128002, 13246, 358, 1071, 11, 13678, 301, 6688, 603, 264, 2763, 315, 8056, 2815, 51134, 505, 279, 25761, 13, 27019, 11, 2225, 279, 1176, 832, 323, 1243, 6785, 323, 45503, 13, 128003, 128005, 334, 1181, 1399, 186, 82, 248, 100, 206, 93, 157, 864, 28, 1823, 1373, 400, 461, 797, 100, 660, 260, 104, 135, 1192, 13, 67, 973, 719, 502, 794, 315, 195, 320, 46, 315, 213, 50, 1325, 1174, 412, 1415, 135, 797, 123, 228, 83, 901, 1182, 76, 858, 1077, 648, 521, 1019, 938, 1407, 1260, 1393, 58, 1735, 1436, 1683, 1400, 1718, 1822, 1088, 1805, 1738, 1754, 984, 691, 247, 523, 1500, 1019, 1463, 57, 682, 753, 1594, 1665, 1679, 1374, 198, 315, 1364, 1161, 956, 1295, 162, 306, 373, 87, 254, 1328, 700, 764, 456, 182, 320, 1775, 1790, 965, 1640, 773, 1300, 639, 384, 949, 1217, 1166, 949, 357, 1409, 901, 596, 1656, 347, 1191, 1409, 57, 770, 687, 1178, 1086, 1533, 508, 328, 46, 844, 519, 1253, 1399, 996, 955, 1437, 868, 660, 682, 787, 1081, 1769, 1156, 1506, 1401, 803, 1692, 57, 708, 475, 422, 1180, 658, 958, 887, 756, 339, 112, 560, 260, 1633, 794, 359, 1498, 741, 1829, 1353, 803, 1761, 1129, 1132, 931, 679, 1416, 1374, 1371, 1732, 783, 1706, 808, 1814, 1563, 836, 1371, 1230, 1188, 1294, 1470, 1591, 1591, 1533, 1008, 782, 822, 1129, 132, 679, 700, 213, 1438, 822, 849, 1554, 26, 1267, 1372, 15, 1761, 231, 648, 483, 50, 592, 1364, 631, 1237, 759, 1563, 1431, 648, 1772, 1147, 1027, 1823, 648, 682, 1564, 685, 952, 1508, 1552, 0, 1110, 609, 571, 809, 388, 339, 855, 393, 82, 736, 573, 1055, 382, 1122, 132, 123, 533, 370, 564, 1668, 1414, 1261, 440, 1205, 1823, 1331, 1005, 39, 1411, 299, 777, 300, 1132, 208, 1258, 364, 1265, 300, 1224, 79, 1500, 1022, 117, 295, 1238, 320, 719, 714, 1241, 1466, 886, 1573, 495, 28, 1228, 1110, 1252, 1132, 57, 557, 1059, 1147, 1750, 644, 1024, 787, 1236, 782, 742, 895, 1069, 1741, 571, 1006, 1015, 1754, 653, 772, 1131, 163, 1754, 1761, 870, 1382, 1713, 1535, 1770, 1195, 424, 1388, 985, 1013, 1382, 1410, 1473, 1018, 1733, 940, 1746, 774, 1146, 13, 640, 1353, 767, 1645, 1403, 1469, 1340, 1702, 1394, 33, 822, 788, 1376, 1739, 1259, 1426, 1675, 1688, 1778, 1760, 1700, 1315, 1091, 644, 1151, 1004, 564, 495, 725, 443, 1501, 1412, 1647, 47, 312, 702, 1313, 1516, 1593, 1009, 454, 682, 126, 1711, 689, 1027, 395, 1748, 213, 1240, 166, 320, 1718, 1547, 1822, 1617, 34, 899, 1495, 1051, 95, 738, 1615, 545, 1606, 424, 1608, 260, 1659, 321, 1014, 890, 411, 1582, 1733, 1453, 1114, 1227, 978, 438, 1176, 858, 1256, 809, 1830, 1401, 1740, 1799, 470, 563, 655, 526, 1570, 1696, 816, 610, 81, 1778, 321, 1274, 695, 1406, 228, 935, 277, 794, 546, 276, 384, 510, 407, 1524, 599, 1451, 1498, 1402, 1252, 195, 1265, 1341, 277, 1389, 1022, 560, 1431, 1330, 901, 1726, 1829, 1473, 1396, 1412, 639, 1739, 493, 1720, 1282, 399, 1279, 979, 1349, 1448, 767, 1735, 1429, 1259, 1487, 1824, 899, 1251, 1226, 1395, 1173, 800, 339, 461, 1492, 547, 1410, 521, 848, 297, 1808, 452, 1127, 1166, 1221, 892, 1568, 95, 1570, 931, 804, 1451, 1350, 1624, 362, 1817, 1018, 4, 1451, 493, 1066, 1347, 339, 491, 1241, 173, 1041, 248, 154, 142, 1805, 208, 1289, 236, 1535, 474, 1556, 321, 0, 1068, 1059, 236, 1023, 874, 969, 1769, 944, 27, 864, 672, 803, 1028, 972, 1418, 877, 672, 123, 1219, 827, 306, 113, 400, 25, 1497, 658, 1280, 882, 529, 362, 67, 790, 822, 549, 1059, 1450, 1748, 1751, 1241, 1303, 895, 715, 1058, 701, 849, 834, 1650, 340, 234, 1825, 276, 688, 1688, 1460, 1593, 1565, 1829, 1414, 1170, 1351, 989, 981, 165, 219, 244, 244, 128011, 128001 ]
[ 128000, 128002, 4071, 439, 682, 2574, 11, 26907, 11, 1063, 315, 1124, 2751, 26765, 11, 323, 279, 832, 584, 2351, 4737, 264, 1427, 520, 1618, 3432, 11, 15341, 79803, 258, 45315, 11, 374, 832, 315, 279, 12697, 315, 36935, 13, 2030, 358, 617, 1027, 40510, 3403, 311, 6994, 832, 11, 323, 358, 1440, 1274, 690, 2610, 757, 11, 779, 358, 2846, 1120, 16926, 2231, 433, 704, 1070, 13, 128003, 128005, 1603, 1077, 973, 547, 589, 138, 270, 102, 882, 474, 637, 412, 825, 154, 1022, 1052, 1738, 1253, 1731, 1082, 1237, 1484, 927, 1247, 443, 1802, 231, 903, 1552, 201, 1287, 639, 816, 1210, 1001, 79, 1333, 1077, 260, 1058, 1075, 589, 352, 983, 1265, 632, 491, 1490, 1395, 53, 112, 1742, 1208, 466, 341, 1702, 791, 395, 1773, 1221, 1633, 1651, 1769, 1770, 1710, 1668, 1459, 632, 849, 931, 1081, 1061, 95, 1798, 549, 1081, 713, 95, 1724, 430, 1365, 1, 917, 1021, 983, 861, 1018, 617, 865, 1398, 519, 213, 592, 599, 213, 1002, 335, 1018, 1412, 485, 1685, 1781, 1547, 1703, 1168, 1602, 1458, 1292, 1657, 885, 888, 426, 465, 436, 692, 866, 1291, 1220, 1680, 1423, 1380, 1345, 1336, 485, 1374, 1710, 1027, 1781, 788, 26, 1297, 1102, 1494, 1202, 775, 1715, 1198, 903, 904, 1174, 1325, 1663, 63, 935, 1646, 595, 725, 202, 1082, 1411, 382, 907, 29, 714, 917, 1212, 1395, 1245, 759, 443, 1723, 1395, 1494, 1350, 217, 1444, 1170, 1129, 1366, 110, 1341, 911, 1320, 63, 1460, 127, 178, 1351, 836, 927, 1468, 1680, 1638, 1464, 869, 1623, 1268, 176, 295, 298, 198, 870, 10, 7, 62, 202, 1435, 841, 1204, 1237, 254, 321, 1374, 95, 1472, 1098, 1340, 191, 297, 1312, 1088, 547, 488, 1583, 1235, 134, 1776, 1605, 1622, 1797, 1180, 705, 577, 346, 1280, 595, 422, 1830, 903, 1403, 564, 689, 730, 1536, 940, 850, 1519, 530, 1669, 927, 1328, 303, 1310, 147, 1208, 550, 81, 1204, 208, 81, 1117, 1115, 687, 1511, 1315, 1216, 1275, 1199, 1254, 1038, 1799, 1002, 1649, 407, 1677, 1808, 454, 1738, 768, 755, 49, 1308, 1008, 190, 1005, 1155, 375, 388, 1690, 583, 1415, 183, 1825, 882, 52, 848, 6, 848, 1180, 969, 295, 642, 425, 488, 700, 1700, 858, 955, 268, 1022, 1493, 495, 1402, 1598, 1720, 1731, 1770, 1088, 1391, 1436, 1646, 1489, 1082, 1795, 1303, 1160, 1402, 1412, 1783, 875, 1067, 1204, 1264, 841, 208, 1735, 1335, 1287, 703, 426, 57, 742, 1818, 1399, 326, 831, 1809, 1487, 1554, 890, 1077, 629, 321, 801, 500, 847, 1392, 678, 1633, 870, 965, 593, 648, 1542, 646, 1345, 1078, 728, 937, 483, 1590, 1187, 547, 748, 1423, 29, 1048, 628, 483, 831, 929, 1697, 832, 1424, 1467, 1632, 132, 863, 592, 28, 1448, 767, 1687, 1260, 1241, 1324, 783, 46, 1546, 1764, 362, 1640, 1329, 1511, 1086, 67, 1372, 1326, 860, 1326, 1358, 1492, 1141, 856, 184, 688, 1520, 1429, 1196, 983, 759, 1004, 703, 1665, 1666, 1163, 1160, 1546, 1087, 931, 1175, 1196, 452, 1056, 983, 1040, 996, 297, 1018, 1502, 1810, 947, 615, 1657, 1226, 964, 549, 506, 837, 440, 480, 793, 467, 810, 640, 807, 460, 1763, 490, 1565, 409, 782, 10, 1583, 1462, 658, 520, 911, 388, 1545, 1283, 48, 1817, 383, 569, 289, 790, 1206, 263, 83, 1502, 543, 115, 1441, 2, 1584, 24, 996, 1633, 848, 1444, 1375, 1799, 1505, 788, 1671, 1500, 117, 1745, 1057, 1701, 1333, 930, 1373, 936, 578, 80, 168, 378, 469, 1731, 1035, 576, 1288, 546, 742, 1669, 736, 310, 1581, 416, 1174, 595, 844, 483, 137, 945, 529, 218, 1335, 943, 454, 1645, 1773, 1534, 1170, 581, 1086, 1241, 1740, 1071, 1496, 971, 1037, 1681, 1038, 1404, 1184, 893, 1684, 1486, 41, 1026, 1523, 679, 1564, 1585, 1221, 647, 895, 182, 1243, 636, 388, 835, 1703, 1069, 71, 1556, 728, 316, 516, 54, 1287, 400, 83, 1526, 1, 205, 1718, 725, 1612, 870, 748, 793, 191, 758, 1415, 1440, 1353, 891, 1407, 1384, 1676, 1339, 1769, 497, 1737, 474, 1715, 768, 269, 176, 93, 1734, 321, 1472, 1618, 803, 1408, 1071, 1148, 669, 827, 1483, 944, 260, 1457, 206, 552, 844, 408, 372, 1086, 1056, 107, 335, 1087, 1382, 1651, 1030, 333, 648, 863, 122, 1439, 1027, 546, 1397, 636, 1810, 1438, 1061, 1733, 640, 789, 1528, 687, 1598, 556, 1369, 556, 1281, 822, 876, 368, 1502, 1506, 368, 1345, 399, 409, 886, 50, 870, 1752, 1546, 1654, 1627, 1626, 1195, 58, 1697, 1819, 1708, 1392, 1614, 1409, 1721, 1492, 970, 1785, 1434, 1030, 1690, 497, 1755, 628, 1706, 1022, 1677, 716, 1451, 898, 1637, 302, 1528, 798, 1215, 576, 1688, 953, 1787, 1064, 912, 762, 1793, 1433, 1651, 1011, 182, 867, 1607, 1283, 1755, 1470, 1176, 949, 821, 1107, 1092, 715, 1347, 1492, 1611, 1414, 110, 1067, 66, 1813, 1154, 37, 1405, 1712, 1685, 1082, 1202, 186, 864, 182, 96, 466, 407, 108, 1380, 1403, 1381, 1306, 1375, 1385, 6, 577, 1437, 208, 1369, 321, 384, 1326, 1447, 1494, 1682, 1407, 480, 1350, 127, 1769, 230, 502, 448, 409, 1660, 827, 1202, 1156, 324, 1086, 1389, 1088, 705, 1702, 844, 1636, 1226, 1830, 516, 1677, 1404, 581, 1171, 1511, 1364, 1205, 1761, 886, 1075, 320, 269, 1450, 827, 1473, 656, 1267, 117, 877, 1565, 529, 175, 129, 510, 556, 50, 767, 416, 1651, 983, 1740, 969, 1629, 1056, 959, 202, 105, 1364, 592, 1308, 753, 527, 532, 1600, 1073, 1350, 335, 1342, 882, 253, 495, 1139, 1180, 1295, 849, 13, 1728, 844, 134, 0, 1537, 1768, 1642, 1251, 1701, 1450, 1079, 947, 1774, 1432, 927, 1793, 1034, 1476, 1556, 979, 1822, 1230, 1175, 1809, 1059, 1687, 1373, 1305, 967, 54, 1255, 1209, 1462, 1132, 1083, 1197, 589, 868, 1141, 324, 589, 1247, 147, 1447, 208, 798, 796, 339, 1698, 277, 1804, 499, 203, 1599, 1029, 825, 1434, 299, 221, 519, 1132, 1331, 236, 1331, 1008, 1088, 1019, 1792, 1154, 843, 1255, 1065, 396, 1451, 1066, 1318, 604, 303, 714, 1280, 1790, 844, 1715, 716, 767, 1463, 1833, 1325, 1501, 1556, 1511, 1224, 1358, 1462, 1542, 1374, 1340, 767, 1798, 1638, 1711, 1479, 1451, 1583, 1752, 756, 489, 1564, 30, 374, 327, 110, 153, 125, 133, 759, 577, 1800, 1018, 535, 1161, 780, 1342, 1422, 346, 994, 452, 361, 1542, 637, 1330, 1485, 780, 1402, 120, 1618, 230, 1647, 972, 388, 104, 1196, 972, 179, 579, 1126, 628, 286, 1253, 1537, 1073, 1431, 1741, 1097, 805, 1808, 1439, 1238, 276, 1432, 1364, 736, 1252, 1073, 1814, 1277, 844, 182, 341, 1336, 808, 806, 363, 1651, 1530, 1677, 790, 1739, 1478, 1747, 1710, 181, 1217, 1400, 454, 1504, 999, 1276, 93, 870, 1088, 774, 201, 217, 1591, 713, 1075, 1350, 1296, 716, 1225, 1155, 1048, 1445, 1365, 1645, 519, 1422, 1222, 1013, 483, 1001, 926, 966, 320, 191, 761, 931, 1629, 1157, 1466, 1658, 1108, 1370, 1739, 1088, 22, 1738, 979, 1781, 1059, 328, 1746, 1170, 1035, 1668, 1370, 1722, 1683, 1120, 566, 799, 1648, 1183, 535, 1187, 1256, 1129, 1112, 664, 1279, 1001, 579, 1077, 790, 973, 996, 1411, 581, 514, 619, 576, 481, 495, 1733, 388, 293, 455, 1004, 775, 1330, 836, 1733, 1412, 1462, 310, 875, 1766, 1537, 979, 1053, 1666, 990, 1147, 1660, 725, 1497, 556, 1625, 954, 1035, 1776, 1436, 1132, 737, 197, 1417, 197, 1374, 1019, 1503, 1368, 214, 1635, 956, 9, 1166, 339, 491, 947, 147, 1086, 364, 1330, 711, 658, 306, 371, 221, 599, 173, 1259, 537, 260, 1790, 1247, 1368, 631, 295, 592, 137, 599, 780, 714, 1519, 1588, 1473, 1487, 848, 18, 1663, 361, 47, 1711, 1, 1455, 1493, 129, 848, 6, 276, 28, 1310, 951, 297, 587, 1733, 1261, 856, 1451, 1267, 1639, 787, 1239, 794, 1757, 183, 328, 1649, 129, 1088, 1370, 1018, 1751, 1303, 892, 1392, 1034, 374, 1607, 847, 961, 1126, 1775, 376, 1791, 1469, 1333, 1771, 624, 1097, 985, 1408, 1721, 1265, 545, 1320, 1178, 112, 1472, 947, 797, 1069, 399, 705, 1750, 711, 797, 775, 382, 115, 1483, 309, 291, 1410, 53, 1772, 441, 385, 1160, 748, 1793, 1333, 1181, 1671, 1737, 1665, 1261, 1187, 858, 664, 74, 368, 581, 456, 1583, 104, 600, 947, 1224, 711, 856, 1815, 1790, 272, 1259, 1825, 1803, 656, 1404, 1714, 156, 165, 244, 244, 128011, 128001 ]
[ 128000, 128002, 6107, 3201, 11, 422, 499, 527, 3025, 311, 3821, 264, 9568, 323, 63134, 6622, 1139, 279, 2835, 11, 358, 2751, 420, 505, 264, 12637, 33053, 889, 13517, 2751, 433, 1022, 31006, 505, 5734, 13, 128003, 128005, 226, 1307, 853, 1198, 502, 1464, 973, 728, 1645, 217, 684, 1501, 205, 1388, 364, 536, 708, 270, 1173, 292, 213, 1647, 243, 803, 1366, 49, 959, 1251, 380, 95, 1635, 192, 1716, 92, 1776, 747, 108, 1682, 771, 128, 1455, 422, 521, 1069, 49, 1447, 829, 181, 695, 1583, 46, 973, 1471, 714, 1682, 1035, 286, 1490, 1638, 1809, 1658, 1524, 832, 1120, 1720, 1705, 767, 1793, 1225, 1370, 1185, 1215, 1322, 229, 885, 548, 591, 281, 31, 832, 1104, 1224, 0, 860, 1801, 493, 1463, 333, 22, 1815, 1364, 1701, 1306, 11, 1458, 640, 1295, 786, 1325, 1508, 822, 1467, 1286, 1585, 57, 1796, 1345, 1564, 1366, 1396, 1542, 1488, 1081, 1779, 1640, 946, 1686, 861, 1622, 438, 31, 1414, 1072, 1191, 1417, 1298, 825, 1195, 254, 1396, 955, 756, 835, 872, 1758, 1038, 239, 1827, 1395, 1088, 1275, 1546, 22, 92, 129, 197, 1494, 67, 719, 941, 1518, 1538, 1811, 1275, 864, 1399, 1485, 234, 684, 1610, 1825, 1798, 631, 104, 22, 782, 1701, 1781, 816, 1526, 1646, 518, 1550, 1353, 591, 116, 1806, 173, 302, 868, 1190, 142, 1208, 107, 1147, 1160, 520, 1553, 1324, 1454, 1436, 715, 870, 372, 1776, 1226, 697, 1548, 931, 1299, 892, 1614, 203, 1215, 1365, 1476, 730, 1259, 537, 1526, 1161, 1280, 1284, 783, 1528, 779, 947, 1263, 639, 1345, 1267, 1821, 1431, 1262, 1758, 1699, 829, 701, 825, 585, 1344, 304, 1415, 1815, 1047, 911, 1647, 399, 1493, 416, 1274, 1709, 957, 1469, 1722, 1634, 1342, 198, 1313, 1047, 1751, 328, 644, 1354, 1336, 1802, 1635, 1753, 415, 1532, 448, 50, 1776, 1173, 841, 814, 318, 221, 1395, 277, 1629, 1320, 1673, 1683, 1261, 926, 713, 302, 1228, 1341, 1352, 1691, 1729, 654, 14, 858, 1022, 1466, 1217, 297, 1807, 1549, 1335, 1472, 1685, 348, 1441, 10, 1027, 777, 1358, 1175, 502, 310, 1763, 493, 95, 688, 701, 1700, 1593, 1667, 519, 1554, 1147, 604, 1210, 175, 1558, 1605, 493, 1008, 1240, 69, 1409, 1078, 375, 1260, 1645, 816, 657, 51, 352, 789, 164, 571, 581, 958, 721, 2, 775, 231, 1438, 1158, 1313, 1366, 841, 860, 162, 164, 82, 212, 106, 123, 157, 571, 547, 162, 386, 1640, 1462, 9, 1803, 1429, 1716, 1292, 1677, 1790, 658, 825, 137, 428, 1407, 400, 1401, 471, 864, 1372, 409, 295, 315, 195, 1300, 546, 1624, 1830, 493, 1741, 1355, 943, 1788, 1053, 1649, 1714, 927, 1823, 1434, 1422, 1813, 1714, 1623, 1010, 1145, 1628, 495, 863, 895, 943, 1186, 974, 411, 47, 1477, 370, 764, 1107, 656, 1047, 615, 753, 1762, 1395, 759, 1341, 178, 1182, 1232, 117, 901, 92, 129, 143, 1460, 1340, 41, 817, 1521, 1794, 176, 1821, 1799, 731, 1305, 19, 791, 462, 1047, 579, 956, 461, 474, 57, 205, 783, 182, 789, 1463, 13, 1058, 473, 1055, 143, 483, 600, 1618, 1361, 1378, 945, 583, 1572, 1745, 1819, 1420, 1399, 1796, 1403, 1714, 1802, 1774, 411, 748, 1826, 1484, 1004, 514, 127, 1182, 147, 657, 943, 309, 836, 1476, 1312, 1321, 1188, 1275, 1033, 1355, 1270, 372, 1382, 158, 1384, 1094, 1394, 629, 1797, 1485, 1365, 1491, 1411, 1365, 1784, 1466, 1680, 890, 126, 109, 1775, 1309, 879, 577, 443, 1520, 1261, 1260, 1147, 143, 1025, 1258, 1453, 1301, 1554, 150, 1384, 1444, 355, 1746, 1314, 1219, 1218, 324, 1599, 1449, 595, 1537, 1791, 1439, 1488, 175, 471, 1710, 1, 1015, 1620, 1310, 616, 1766, 1389, 1252, 940, 1365, 1022, 940, 1019, 0, 493, 621, 734, 421, 1804, 1594, 1411, 874, 829, 599, 306, 1498, 393, 569, 639, 147, 1304, 665, 1040, 102, 1769, 790, 876, 1403, 876, 1747, 1680, 1294, 1261, 306, 1109, 892, 1174, 711, 991, 775, 370, 1263, 1110, 1087, 940, 203, 1781, 1331, 1825, 1261, 1524, 1739, 1451, 1324, 1769, 878, 1786, 1618, 1365, 1664, 821, 1679, 183, 1081, 1614, 1214, 564, 1269, 1175, 1459, 83, 1494, 11, 756, 1047, 640, 440, 102, 1810, 780, 787, 18, 1366, 1347, 604, 907, 1820, 1588, 1789, 362, 1748, 1404, 1364, 1495, 999, 1429, 1271, 816, 917, 719, 1708, 493, 738, 1379, 98, 1479, 1431, 850, 1626, 1718, 239, 308, 1259, 943, 596, 1411, 1139, 1204, 626, 827, 173, 1537, 309, 1183, 321, 658, 1109, 985, 1174, 836, 689, 777, 1519, 1636, 831, 1337, 1127, 1261, 664, 1342, 705, 239, 1351, 1396, 1746, 1716, 1505, 1088, 1256, 1313, 185, 165, 453, 219, 128011, 128001 ]
[ 128000, 128002, 28070, 311, 4330, 1667, 4227, 11, 5353, 430, 596, 994, 568, 574, 10825, 311, 387, 6004, 13, 1283, 574, 2133, 311, 387, 304, 279, 91178, 3814, 4101, 323, 358, 4510, 1093, 1403, 16579, 323, 59139, 2212, 430, 892, 11, 719, 499, 1440, 13, 128003, 128005, 404, 1268, 1102, 1374, 1237, 488, 503, 1595, 1343, 825, 397, 148, 1336, 1799, 873, 1001, 1537, 55, 488, 109, 1316, 1212, 269, 48, 1303, 1088, 703, 239, 1662, 674, 1484, 1572, 1632, 298, 28, 10, 1403, 1328, 841, 1078, 945, 1584, 1036, 1584, 1710, 400, 1754, 1532, 1637, 1707, 636, 1064, 897, 1455, 173, 1762, 565, 1201, 552, 1089, 809, 697, 1328, 179, 1177, 474, 945, 768, 1265, 499, 1107, 407, 809, 1422, 1167, 1584, 1212, 490, 1197, 1818, 1179, 117, 1741, 1454, 1120, 1489, 1336, 968, 1431, 1571, 1542, 1386, 895, 653, 1020, 178, 742, 1723, 1773, 1112, 434, 310, 1295, 110, 385, 1278, 1403, 1779, 202, 157, 1387, 52, 1542, 399, 844, 1774, 886, 428, 1340, 1559, 1610, 1379, 1519, 977, 2, 1081, 1462, 1031, 475, 155, 626, 1770, 364, 116, 488, 1058, 1320, 1361, 1069, 1437, 815, 1489, 1716, 735, 1117, 1815, 1746, 1342, 1408, 1212, 1496, 1428, 927, 1721, 1797, 1329, 939, 1212, 1707, 1658, 1104, 939, 751, 620, 490, 387, 606, 513, 927, 1781, 1378, 1410, 520, 1768, 362, 1558, 631, 33, 1518, 176, 1818, 1159, 800, 359, 679, 371, 610, 901, 887, 1171, 1731, 1308, 1460, 1604, 870, 384, 1519, 1027, 1646, 1743, 1042, 1735, 806, 1593, 1457, 716, 719, 1488, 1583, 98, 1667, 1310, 1706, 890, 786, 783, 820, 269, 509, 607, 1255, 850, 1472, 278, 728, 1622, 574, 1785, 492, 1723, 665, 613, 201, 910, 844, 1746, 475, 1688, 860, 883, 428, 1218, 175, 1468, 333, 33, 1711, 1677, 1403, 1042, 1379, 1312, 1359, 945, 1006, 1646, 593, 1763, 1759, 1756, 409, 1027, 1583, 117, 1739, 1153, 841, 1141, 715, 1497, 1690, 519, 1396, 1340, 1236, 1004, 1793, 95, 325, 682, 426, 1060, 5, 795, 1534, 1302, 1660, 1683, 1337, 1388, 320, 1590, 1662, 544, 728, 692, 1741, 996, 1430, 203, 20, 1008, 881, 734, 1237, 185, 1155, 1277, 144, 973, 1716, 792, 158, 964, 1335, 1284, 1030, 646, 1146, 1457, 289, 108, 1267, 713, 1661, 1525, 276, 1032, 1636, 298, 1624, 202, 67, 1278, 1376, 736, 495, 4, 1828, 1036, 1370, 1799, 947, 1808, 1448, 822, 1806, 1379, 1451, 1668, 1146, 1788, 1418, 1290, 727, 820, 669, 712, 1085, 513, 239, 994, 1050, 1661, 478, 406, 1099, 1335, 629, 1791, 1139, 848, 201, 890, 18, 556, 1560, 1492, 1022, 779, 1022, 687, 1471, 813, 768, 1365, 864, 1460, 1315, 1766, 788, 1790, 557, 1221, 999, 1799, 1661, 317, 691, 1104, 1312, 4, 1004, 197, 1376, 361, 1166, 890, 269, 1166, 1726, 1172, 1476, 1633, 268, 1750, 979, 412, 1753, 658, 877, 1644, 1443, 832, 1681, 1556, 1700, 154, 1434, 596, 769, 1329, 400, 977, 1206, 958, 106, 1047, 800, 210, 1435, 76, 359, 1320, 147, 203, 1790, 1058, 1373, 1264, 1776, 1436, 665, 1364, 1376, 749, 1496, 1426, 1252, 828, 658, 361, 1086, 901, 1511, 434, 1100, 1468, 510, 961, 1707, 1753, 1794, 18, 132, 1027, 409, 1161, 454, 335, 1139, 335, 1426, 1149, 882, 493, 1048, 1110, 631, 1780, 410, 197, 1026, 65, 1650, 1034, 769, 684, 725, 1416, 1708, 189, 449, 1161, 319, 1804, 175, 129, 1476, 198, 1624, 1611, 117, 1477, 1429, 1364, 13, 1764, 736, 312, 1704, 874, 1141, 1320, 547, 1487, 1056, 1040, 1077, 1074, 913, 1350, 1754, 807, 1121, 1123, 1826, 400, 1167, 1623, 411, 78, 1790, 389, 1151, 1022, 593, 645, 1240, 1472, 527, 29, 1339, 849, 973, 716, 1451, 1612, 1685, 362, 1037, 1107, 1060, 1286, 477, 1734, 164, 1443, 479, 1485, 1274, 1400, 1629, 1092, 1651, 1832, 1241, 882, 1824, 639, 1781, 1648, 1271, 1095, 1720, 1358, 455, 1824, 767, 1047, 1715, 1568, 679, 55, 1600, 1387, 108, 122, 749, 117, 409, 788, 1287, 1174, 178, 200, 1804, 746, 1445, 1654, 1387, 1790, 780, 230, 1500, 415, 1642, 1621, 1547, 1510, 546, 454, 1130, 1823, 1429, 428, 774, 856, 1642, 1238, 836, 1591, 533, 1300, 191, 895, 1027, 310, 1383, 1452, 1093, 701, 856, 1750, 231, 1243, 1273, 1779, 449, 691, 1687, 1071, 640, 1478, 1495, 870, 555, 1036, 1777, 1033, 715, 1465, 1292, 1400, 567, 1395, 1385, 1003, 19, 970, 555, 586, 60, 563, 1086, 1209, 1141, 900, 777, 1683, 850, 1267, 144, 1192, 1333, 1224, 1066, 1139, 657, 1379, 422, 1813, 393, 1774, 297, 1028, 764, 909, 1513, 36, 1807, 1310, 748, 1349, 55, 426, 753, 1386, 1073, 937, 1342, 573, 1399, 208, 955, 270, 1184, 1083, 549, 1636, 1541, 1316, 1167, 1154, 1752, 1439, 52, 1217, 1432, 1053, 1675, 1256, 797, 116, 1220, 498, 252, 1814, 944, 491, 1483, 1143, 521, 116, 1259, 410, 628, 1416, 454, 95, 1389, 947, 1002, 455, 1829, 1009, 1445, 317, 685, 310, 363, 691, 776, 1824, 1173, 610, 1004, 1086, 529, 827, 1014, 157, 1258, 1078, 979, 1087, 1418, 1223, 1032, 1028, 1209, 1453, 852, 1218, 1528, 1047, 1383, 756, 1819, 1468, 1120, 361, 1637, 1446, 892, 32, 1358, 1310, 1015, 1420, 1260, 695, 1235, 1297, 1252, 847, 1656, 1509, 1223, 1218, 1487, 1268, 564, 1458, 1347, 727, 1098, 1770, 538, 165, 219, 244, 244, 128011, 128001 ]
[ 128000, 128002, 2169, 14997, 1120, 15058, 956, 11486, 439, 1664, 11, 779, 13678, 301, 6773, 311, 6068, 279, 1584, 11, 26907, 11, 323, 3235, 449, 279, 1584, 11, 264, 8941, 315, 8056, 9515, 323, 25761, 505, 2225, 9698, 13, 128003, 128005, 287, 567, 717, 513, 447, 1037, 1532, 1477, 961, 1100, 138, 1055, 376, 549, 836, 41, 153, 372, 1138, 295, 1300, 1048, 1401, 1217, 1828, 1558, 592, 1374, 1018, 996, 1757, 858, 1300, 124, 882, 1729, 1027, 1651, 1502, 1494, 607, 1372, 1350, 926, 665, 1540, 973, 1340, 1112, 1404, 1761, 184, 1606, 315, 848, 213, 230, 117, 198, 1283, 858, 1276, 9, 376, 13, 158, 715, 393, 248, 1686, 741, 1335, 1340, 321, 615, 1331, 847, 576, 1765, 782, 48, 1765, 1002, 297, 1764, 1400, 616, 1580, 384, 428, 409, 1088, 1649, 1364, 1820, 1826, 1636, 532, 702, 1180, 475, 1482, 985, 210, 1804, 370, 492, 1300, 142, 1473, 1344, 841, 302, 1623, 1424, 1414, 1404, 1462, 1404, 1400, 1746, 1036, 1400, 1714, 1053, 1500, 1306, 1139, 1735, 1104, 1797, 1033, 1495, 772, 712, 1528, 1383, 103, 713, 1600, 1001, 1256, 1235, 55, 1519, 123, 1614, 642, 1595, 200, 1694, 1075, 1257, 1701, 1674, 1824, 129, 714, 6, 239, 1307, 1126, 173, 834, 637, 1066, 1690, 364, 1127, 98, 725, 629, 1176, 1487, 1776, 1330, 863, 700, 485, 510, 1278, 440, 315, 328, 943, 880, 1150, 604, 173, 1801, 146, 1307, 324, 1203, 524, 384, 1647, 1087, 886, 1427, 1596, 1248, 1740, 1089, 1011, 1030, 1422, 1472, 1607, 1142, 932, 1479, 1682, 1755, 11, 1410, 1094, 985, 1466, 997, 1461, 374, 1118, 809, 1102, 755, 1192, 106, 1162, 221, 797, 961, 106, 1232, 53, 1180, 887, 127, 1431, 987, 1108, 1437, 1504, 1429, 1731, 1658, 1462, 861, 1720, 1714, 1322, 1677, 1327, 1669, 1583, 1122, 58, 83, 1435, 1526, 289, 1645, 1071, 191, 1723, 670, 1312, 1288, 679, 326, 1389, 951, 1186, 402, 39, 443, 565, 491, 547, 498, 1107, 164, 882, 1113, 181, 1533, 29, 502, 48, 1459, 714, 1647, 844, 289, 310, 1811, 1675, 849, 774, 473, 858, 1769, 1400, 1364, 1099, 1741, 1191, 1743, 1438, 907, 30, 268, 395, 148, 1259, 382, 1368, 385, 1410, 1661, 848, 218, 239, 335, 750, 1298, 560, 836, 63, 320, 834, 1247, 1259, 1484, 794, 682, 1243, 1306, 1117, 1004, 184, 644, 1410, 400, 388, 123, 1270, 769, 376, 1554, 947, 1591, 1625, 1798, 861, 1682, 636, 1391, 1061, 1777, 1393, 822, 1754, 1342, 1349, 1489, 231, 1699, 1714, 1021, 1181, 1496, 995, 923, 620, 879, 1434, 1097, 1129, 208, 1036, 179, 282, 1758, 364, 1733, 1353, 1097, 1087, 678, 1438, 961, 1791, 695, 875, 1494, 291, 615, 1308, 1122, 93, 182, 1047, 521, 521, 143, 57, 1081, 239, 1476, 1484, 428, 455, 1488, 1097, 1257, 400, 374, 1006, 1752, 1506, 1456, 1796, 1685, 1002, 1127, 1192, 1773, 868, 252, 1572, 1272, 116, 702, 1004, 514, 1800, 408, 1368, 1147, 73, 1226, 352, 1720, 215, 1811, 147, 1682, 422, 1375, 402, 1718, 860, 701, 95, 1781, 282, 1645, 1342, 721, 1781, 1800, 1816, 1737, 416, 782, 67, 1720, 1395, 1256, 1573, 1261, 1066, 1075, 1135, 983, 63, 98, 1720, 1462, 1437, 57, 443, 1811, 1170, 55, 1386, 1588, 55, 1701, 565, 1369, 1002, 48, 1568, 1008, 938, 297, 131, 1002, 216, 1250, 158, 1791, 780, 983, 1748, 154, 860, 1341, 1567, 18, 576, 1798, 962, 191, 1685, 510, 1374, 26, 1407, 1091, 695, 1694, 848, 738, 640, 644, 1694, 1712, 1530, 927, 1332, 1770, 239, 1795, 1583, 1105, 610, 1738, 82, 1605, 386, 1051, 221, 1136, 1045, 467, 1227, 173, 1277, 152, 1006, 441, 1344, 1138, 687, 1485, 1656, 1261, 1014, 1374, 1787, 368, 510, 858, 493, 409, 1412, 1027, 1524, 1738, 895, 1667, 1703, 1617, 939, 885, 1367, 971, 854, 1770, 1292, 26, 1033, 1146, 1322, 86, 649, 1137, 516, 1104, 1421, 693, 454, 441, 1492, 556, 841, 67, 790, 1221, 759, 1083, 1161, 780, 1013, 1825, 828, 1338, 1714, 1708, 1241, 1161, 1737, 1337, 1524, 1682, 1443, 483, 1119, 647, 1286, 471, 1372, 1141, 759, 679, 290, 1001, 1350, 849, 1429, 510, 682, 1676, 833, 756, 98, 701, 945, 1750, 368, 917, 1664, 920, 1710, 448, 927, 1364, 485, 1668, 1644, 1717, 1418, 1681, 1805, 495, 1404, 1427, 1342, 1670, 1563, 736, 1824, 927, 368, 1225, 1325, 1102, 664, 755, 951, 461, 955, 1015, 768, 184, 1502, 1492, 1311, 940, 1729, 1554, 890, 109, 559, 1099, 1564, 22, 82, 1785, 1097, 525, 1507, 1713, 755, 252, 134, 1701, 642, 126, 1643, 1649, 1757, 1621, 1781, 1087, 1813, 999, 1460, 623, 1754, 595, 644, 1528, 376, 1274, 1027, 539, 1623, 1452, 702, 1638, 1832, 987, 911, 853, 654, 1409, 554, 1409, 713, 876, 640, 1081, 1568, 409, 844, 38, 844, 1583, 26, 1831, 493, 782, 1037, 165, 156, 219, 244, 167, 128011, 128001 ]
[ 128000, 128002, 10156, 2751, 279, 31468, 13, 15668, 12703, 13, 1628, 1457, 1063, 315, 279, 47728, 34947, 704, 13, 128003, 128005, 379, 1057, 821, 1642, 1364, 1117, 575, 938, 560, 1267, 631, 1056, 1283, 315, 714, 1283, 276, 719, 154, 1410, 1667, 176, 1730, 1383, 34, 666, 1639, 1360, 1752, 1180, 1237, 382, 115, 1237, 147, 1147, 81, 1174, 113, 1253, 1019, 516, 1195, 1526, 1225, 1364, 955, 1761, 656, 397, 399, 599, 1240, 780, 1171, 1278, 434, 1178, 543, 308, 1776, 579, 1307, 1047, 858, 393, 1190, 186, 794, 1147, 1125, 1186, 827, 841, 1237, 872, 1497, 1331, 1117, 1708, 239, 1521, 1824, 1671, 1338, 1565, 1400, 1128, 1379, 1347, 1669, 1786, 1610, 1403, 1069, 547, 100, 293, 1645, 170, 1520, 206, 228, 814, 270, 69, 367, 1461, 100, 1494, 1394, 129, 637, 372, 52, 1310, 50, 202, 454, 599, 855, 656, 521, 1196, 330, 1105, 270, 228, 352, 1253, 535, 956, 104, 146, 352, 700, 393, 1173, 178, 868, 1058, 1091, 949, 1762, 1500, 1736, 1404, 1212, 1038, 1342, 1682, 1279, 400, 1010, 1393, 1370, 1144, 1175, 1632, 1118, 989, 693, 1305, 929, 449, 672, 526, 638, 1306, 1110, 1066, 767, 868, 1761, 794, 1027, 738, 781, 682, 1249, 943, 951, 239, 371, 825, 1088, 386, 1780, 874, 48, 230, 577, 183, 320, 1376, 328, 298, 1344, 1156, 208, 1136, 29, 940, 1069, 1068, 1340, 631, 1526, 721, 467, 1709, 1757, 1596, 1019, 678, 864, 703, 1681, 1435, 1453, 1489, 438, 1792, 985, 736, 1785, 1803, 1095, 147, 63, 877, 367, 359, 1344, 128, 806, 361, 508, 293, 616, 1323, 46, 113, 1093, 205, 844, 1471, 1419, 1235, 1588, 335, 714, 1793, 642, 955, 532, 100, 571, 1235, 656, 1237, 295, 182, 98, 0, 1435, 1631, 1002, 1651, 10, 320, 1034, 202, 1349, 640, 1457, 1402, 1798, 1344, 395, 310, 1088, 1195, 1325, 356, 197, 249, 1240, 1336, 1681, 1329, 1537, 1833, 1634, 1799, 1283, 6, 1110, 997, 844, 797, 874, 170, 106, 1015, 958, 173, 508, 687, 408, 783, 1412, 565, 48, 1660, 1083, 891, 1117, 1235, 1412, 538, 165, 244, 244, 244, 128011, 128001 ]
[ 128000, 128002, 1966, 311, 31006, 505, 5734, 323, 15341, 1694, 832, 315, 1124, 1606, 568, 574, 3604, 5128, 3345, 311, 3794, 264, 4984, 11, 719, 3403, 39959, 754, 503, 49709, 13, 358, 2846, 2133, 311, 26251, 264, 5743, 9364, 315, 1461, 505, 279, 5818, 8800, 279, 4264, 1070, 13, 2100, 568, 9922, 304, 279, 1093, 6007, 1501, 91178, 323, 358, 14224, 527, 91178, 13, 128003, 128005, 509, 567, 445, 563, 1045, 1477, 339, 614, 1069, 1105, 1200, 521, 376, 55, 756, 297, 1358, 943, 679, 682, 738, 1822, 502, 428, 202, 129, 1439, 1337, 362, 191, 1688, 1547, 1733, 416, 865, 1435, 823, 556, 1365, 731, 508, 1591, 1, 269, 1538, 1627, 1388, 1492, 1429, 592, 525, 546, 719, 107, 546, 836, 1637, 452, 783, 10, 1537, 1790, 1682, 1189, 1320, 1801, 1347, 1367, 1326, 1287, 519, 1833, 1422, 1543, 1701, 26, 1665, 1216, 1046, 965, 775, 770, 960, 961, 1805, 455, 1669, 637, 935, 1349, 55, 1575, 1524, 1662, 631, 1, 1256, 62, 833, 1276, 791, 408, 269, 1098, 408, 1125, 657, 1412, 552, 1036, 402, 1826, 521, 1313, 41, 319, 1339, 22, 302, 1411, 764, 1280, 1073, 303, 1002, 809, 1053, 408, 639, 1814, 41, 979, 1245, 1611, 570, 386, 1808, 715, 1497, 1470, 1406, 1422, 1336, 416, 1339, 1711, 1019, 1616, 935, 333, 1136, 1792, 592, 1102, 320, 1645, 903, 1074, 1368, 175, 1718, 792, 1735, 1792, 1412, 117, 1433, 1788, 1079, 470, 418, 1553, 849, 892, 1749, 631, 1409, 1283, 41, 1238, 1726, 483, 1722, 983, 1255, 1069, 1707, 1019, 1798, 716, 1609, 1263, 1062, 1511, 497, 191, 1372, 1253, 1147, 682, 443, 725, 1330, 1256, 847, 520, 1810, 1400, 742, 1669, 1457, 1048, 1795, 1235, 642, 128, 191, 383, 741, 775, 759, 831, 881, 836, 1446, 1270, 909, 990, 806, 1536, 1685, 1152, 1334, 0, 1087, 773, 614, 1765, 931, 1369, 848, 132, 549, 189, 407, 1139, 356, 1313, 18, 1344, 1755, 263, 1506, 1493, 315, 1388, 959, 679, 1764, 1774, 1177, 503, 1460, 123, 1502, 546, 239, 1382, 138, 1081, 206, 956, 723, 172, 461, 433, 1588, 637, 909, 1082, 901, 725, 372, 1091, 1318, 944, 639, 479, 214, 1146, 362, 593, 1349, 1593, 1684, 1450, 1777, 1511, 886, 1748, 1104, 1726, 1111, 847, 1675, 1210, 400, 1243, 1691, 1441, 1445, 945, 1794, 980, 1238, 310, 1749, 1791, 1764, 1278, 1300, 1024, 767, 1795, 1743, 73, 688, 1781, 1041, 491, 1702, 794, 1026, 640, 491, 1812, 687, 949, 1283, 430, 858, 213, 1166, 1532, 6, 1370, 746, 362, 1443, 1091, 36, 1354, 848, 1545, 895, 702, 1689, 865, 1034, 1473, 1018, 269, 714, 127, 1308, 1637, 1502, 1287, 1801, 768, 1830, 587, 911, 1258, 1018, 1698, 700, 1157, 1237, 989, 1534, 1690, 1791, 1417, 1130, 1330, 1065, 966, 1725, 1026, 1281, 139, 1252, 1830, 1234, 98, 1690, 1147, 1563, 1004, 191, 963, 920, 493, 1457, 587, 807, 780, 962, 1553, 679, 885, 1493, 1337, 1114, 1431, 1287, 1774, 176, 50, 782, 507, 231, 1349, 50, 1519, 634, 1354, 1722, 101, 1383, 649, 1570, 1722, 841, 294, 367, 380, 498, 402, 477, 479, 254, 887, 1407, 700, 1819, 1434, 890, 0, 320, 870, 1170, 239, 1730, 1410, 1521, 1556, 1160, 1830, 1393, 927, 1770, 1036, 1476, 1752, 347, 1818, 1496, 1329, 1360, 1153, 1738, 1118, 1556, 673, 762, 1195, 9, 1278, 759, 789, 1766, 719, 1541, 725, 1560, 1365, 1460, 1336, 1789, 522, 1191, 203, 270, 791, 658, 573, 105, 73, 607, 202, 1110, 1607, 1073, 1633, 1746, 1206, 9, 1047, 1256, 1272, 1462, 1253, 1454, 1774, 1828, 1645, 249, 1540, 1365, 935, 1699, 1737, 126, 361, 828, 1395, 678, 536, 1365, 1259, 1675, 1591, 890, 515, 1520, 952, 738, 1215, 1181, 1593, 1286, 102, 536, 736, 1203, 587, 341, 1593, 1230, 1097, 200, 397, 506, 1769, 1169, 1502, 51, 917, 679, 1726, 1456, 1172, 1711, 1149, 1170, 1351, 1827, 736, 1323, 1553, 1405, 1750, 748, 1722, 1637, 1625, 645, 1097, 333, 796, 1407, 884, 1175, 532, 1379, 609, 616, 1175, 321, 1819, 1247, 395, 1581, 1766, 1501, 1426, 1447, 1804, 183, 310, 78, 872, 474, 1607, 595, 992, 479, 1226, 545, 1221, 847, 1014, 57, 1367, 291, 1717, 657, 1381, 1253, 326, 1662, 1774, 1243, 1534, 1739, 1464, 1071, 1481, 1414, 1279, 1583, 1385, 1355, 1685, 1458, 1411, 1763, 1495, 1637, 1793, 1164, 1717, 1648, 1306, 1157, 563, 1043, 638, 316, 651, 735, 723, 1186, 1356, 1753, 617, 862, 1485, 312, 909, 1745, 1333, 1326, 682, 503, 1675, 1320, 1506, 844, 214, 1339, 902, 1815, 98, 1530, 736, 502, 1376, 67, 1649, 328, 26, 1494, 1078, 1364, 1731, 863, 920, 748, 1035, 1769, 1572, 4, 1002, 979, 844, 1735, 1351, 1682, 1632, 1492, 589, 321, 1135, 880, 587, 215, 789, 715, 115, 73, 1351, 339, 705, 1340, 1415, 1698, 1422, 108, 1139, 510, 863, 1412, 678, 657, 1677, 368, 1540, 1677, 1439, 1809, 1306, 797, 937, 1649, 741, 491, 1750, 1423, 1581, 1770, 1537, 1635, 1752, 907, 1014, 1795, 1507, 1765, 1704, 824, 1333, 1139, 1812, 1489, 1665, 1200, 254, 312, 495, 849, 742, 1772, 4, 1778, 430, 1567, 1820, 746, 1766, 757, 1059, 1376, 536, 1801, 1166, 1591, 448, 230, 1552, 725, 1716, 1492, 1122, 1252, 725, 221, 798, 1073, 1191, 678, 931, 877, 110, 783, 1775, 1325, 1831, 1410, 368, 1683, 1212, 828, 678, 52, 1463, 637, 126, 1381, 1057, 1213, 1260, 175, 1463, 1482, 815, 1225, 519, 1715, 1212, 1744, 1668, 440, 1717, 1411, 231, 1822, 1399, 203, 617, 1697, 853, 497, 128, 1252, 446, 996, 1119, 768, 1308, 73, 65, 1416, 1330, 1450, 1048, 1663, 184, 1409, 665, 969, 949, 1056, 1335, 1429, 1382, 1809, 1636, 1093, 1405, 1791, 815, 1144, 1735, 1186, 65, 455, 1623, 231, 312, 935, 938, 1615, 312, 1224, 640, 63, 506, 1735, 333, 834, 662, 1379, 1482, 1025, 231, 917, 1306, 350, 682, 1267, 640, 1270, 200, 1690, 782, 1537, 1129, 1462, 1771, 1174, 723, 1224, 1136, 1404, 411, 1260, 1040, 116, 1218, 1040, 876, 1651, 13, 1506, 1146, 1081, 593, 1704, 1786, 1566, 416, 4, 1698, 1438, 1300, 688, 1669, 1618, 1157, 1127, 1262, 628, 875, 943, 1698, 1552, 315, 1744, 592, 1217, 239, 330, 1822, 1175, 344, 1699, 1175, 1792, 1271, 847, 683, 297, 1733, 1665, 822, 109, 867, 1350, 1581, 750, 191, 1467, 701, 856, 1406, 685, 1004, 1444, 1500, 383, 664, 1335, 714, 787, 658, 682, 1427, 658, 1506, 1611, 1002, 921, 1489, 1462, 717, 1714, 1504, 1079, 1646, 1118, 1104, 1638, 1037, 117, 639, 1393, 328, 1489, 1104, 1230, 1205, 1139, 1817, 1393, 1364, 1385, 1329, 1583, 1556, 1034, 1817, 1028, 1175, 1648, 1215, 1817, 460, 1145, 762, 896, 409, 713, 7, 1342, 1174, 934, 479, 162, 1058, 753, 110, 1341, 348, 836, 98, 1535, 347, 1661, 176, 110, 1760, 7, 104, 1081, 1471, 49, 100, 1083, 714, 1341, 1510, 1212, 1123, 1495, 1776, 1647, 596, 1331, 654, 1082, 1714, 388, 1410, 1341, 290, 617, 1422, 100, 1006, 697, 759, 1520, 282, 858, 1019, 380, 1365, 882, 416, 86, 1652, 1161, 1541, 781, 1755, 1331, 154, 1483, 736, 1766, 1498, 858, 1086, 749, 943, 969, 132, 983, 1374, 599, 806, 848, 794, 41, 1002, 1804, 1078, 348, 1674, 1532, 783, 1669, 493, 1605, 1624, 1218, 1752, 1805, 1167, 1599, 1491, 216, 612, 1050, 1520, 1327, 231, 1100, 1021, 556, 184, 1676, 701, 18, 191, 1783, 802, 320, 217, 1826, 947, 860, 716, 1741, 441, 806, 1447, 797, 549, 408, 1702, 349, 1378, 430, 716, 1798, 1801, 1301, 1489, 1694, 1422, 33, 870, 315, 556, 1259, 335, 1355, 736, 782, 1435, 1376, 1332, 1831, 308, 1492, 1450, 1369, 1581, 750, 1756, 1342, 1457, 1058, 1296, 333, 1772, 739, 1686, 1728, 1439, 1537, 1387, 1624, 1828, 333, 1736, 1753, 26, 1554, 18, 1082, 1733, 335, 1412, 1342, 889, 1404, 769, 980, 1462, 741, 557, 1332, 1310, 1424, 388, 191, 1503, 775, 214, 1670, 1423, 1473, 1646, 1209, 1353, 1666, 1158, 1607, 1676, 716, 716, 177, 766, 1328, 564, 584, 1044, 272, 1144, 449, 744, 1413, 32, 1684, 975, 1181, 625, 387, 727, 436, 986, 799, 281, 555, 975, 351, 674, 501, 1176, 1082, 852, 567, 1528, 1748, 927, 556, 1766, 999, 1298, 977, 1127, 1072, 309, 326, 1682, 306, 1258, 1147, 53, 1745, 370, 1119, 966, 1399, 98, 1181, 1209, 1414, 1355, 1166, 368, 1441, 519, 1761, 1774, 1766, 1340, 310, 1390, 1485, 913, 1314, 1113, 1192, 1247, 973, 1400, 828, 782, 719, 1141, 1439, 1235, 1433, 254, 1065, 1113, 571, 628, 1126, 386, 441, 1107, 146, 1201, 1365, 774, 1799, 490, 1276, 1115, 1337, 913, 1287, 286, 1217, 213, 549, 454, 202, 28, 713, 1726, 1104, 326, 823, 794, 681, 1332, 1209, 1437, 1298, 1275, 565, 1712, 1055, 1053, 1463, 1280, 1425, 1178, 932, 1144, 1808, 1813, 399, 400, 1098, 356, 1098, 512, 782, 1298, 173, 552, 872, 147, 1326, 339, 951, 868, 1072, 236, 179, 1132, 755, 402, 1110, 1042, 1127, 361, 1765, 1216, 1158, 1279, 1005, 1436, 320, 1166, 962, 46, 989, 471, 1342, 793, 1337, 820, 1681, 0, 1410, 927, 334, 165, 219, 244, 244, 167, 128011, 128001 ]
[ 128000, 128002, 23956, 374, 1093, 279, 6293, 1501, 430, 1461, 323, 37080, 18925, 4091, 59335, 304, 13, 1102, 596, 1027, 264, 1317, 892, 2533, 358, 3077, 15746, 9878, 288, 6785, 323, 45503, 13, 128003, 128005, 712, 487, 458, 447, 1198, 671, 1091, 112, 1396, 849, 1047, 1653, 440, 1337, 50, 858, 1272, 822, 367, 716, 231, 110, 1615, 315, 1441, 1387, 1790, 1173, 456, 319, 565, 1245, 218, 374, 802, 107, 1762, 1766, 363, 1489, 736, 1130, 764, 1029, 520, 1769, 1451, 850, 1170, 886, 1671, 1053, 1423, 1412, 1143, 408, 1731, 573, 73, 1206, 955, 76, 1184, 408, 446, 1258, 271, 1135, 961, 1407, 1409, 1425, 1188, 1716, 1041, 858, 1500, 452, 1057, 1436, 780, 1215, 1160, 1271, 768, 376, 1620, 499, 1191, 1415, 87, 1674, 996, 1754, 864, 779, 884, 475, 1365, 1057, 514, 702, 1818, 804, 669, 1447, 1100, 1400, 386, 1645, 452, 1066, 412, 1203, 82, 1320, 571, 422, 1404, 386, 1443, 372, 1156, 1473, 1466, 775, 1772, 1098, 1534, 1432, 1495, 1829, 176, 1256, 123, 1485, 947, 759, 217, 1786, 556, 205, 1757, 947, 395, 1467, 1009, 945, 742, 995, 1400, 48, 1637, 1824, 638, 1405, 1504, 1716, 1451, 1186, 1002, 847, 1326, 546, 847, 184, 962, 158, 1654, 940, 1446, 767, 109, 1085, 616, 1480, 1415, 272, 1315, 423, 1819, 714, 1206, 1525, 616, 1555, 411, 540, 1374, 456, 1724, 979, 234, 74, 753, 889, 1190, 52, 230, 63, 122, 834, 1566, 293, 443, 399, 1164, 1759, 143, 843, 796, 829, 1788, 678, 814, 239, 341, 627, 1004, 506, 1722, 629, 31, 1618, 211, 1716, 1061, 483, 63, 1596, 398, 1204, 153, 1624, 1308, 298, 471, 1473, 742, 29, 1594, 319, 1091, 1755, 409, 1563, 1618, 822, 1258, 1089, 1761, 1189, 276, 500, 214, 1666, 1175, 931, 48, 546, 549, 175, 276, 886, 202, 218, 1342, 276, 599, 440, 357, 1175, 713, 1283, 426, 1349, 1043, 1198, 997, 552, 753, 931, 910, 36, 105, 825, 157, 1178, 937, 152, 646, 206, 217, 250, 81, 197, 1415, 599, 1433, 1699, 1286, 926, 1364, 1300, 1656, 1139, 1247, 1089, 407, 1438, 483, 1002, 1690, 295, 1804, 400, 1263, 882, 1772, 1800, 774, 804, 558, 1526, 1671, 1761, 134, 1535, 921, 316, 1397, 188, 964, 1071, 674, 1657, 763, 86, 377, 845, 659, 257, 936, 274, 567, 624, 686, 603, 651, 1244, 396, 1028, 1830, 1652, 1082, 735, 1292, 1519, 301, 1057, 1556, 1033, 989, 752, 724, 1397, 437, 785, 1251, 630, 1383, 1654, 713, 356, 1349, 822, 1741, 1816, 1156, 829, 461, 1300, 170, 1015, 1738, 228, 1253, 648, 215, 1670, 500, 798, 1534, 293, 205, 1124, 102, 270, 580, 228, 892, 783, 100, 1326, 13, 128, 1502, 1400, 1437, 1723, 549, 577, 640, 1002, 1210, 1136, 364, 1229, 370, 571, 1077, 186, 768, 682, 324, 536, 1776, 822, 1335, 1069, 987, 1214, 844, 1296, 213, 315, 640, 1468, 1331, 774, 856, 1546, 129, 124, 399, 1177, 545, 1335, 985, 474, 1059, 212, 1784, 371, 1356, 467, 1621, 1069, 1809, 1731, 1434, 1093, 319, 353, 1646, 511, 1719, 82, 86, 115, 1213, 205, 931, 1449, 402, 1425, 1620, 1651, 1651, 714, 1241, 1466, 1217, 1754, 1793, 1638, 1705, 1565, 1223, 1044, 1226, 887, 1365, 1310, 1427, 1403, 1382, 521, 895, 1056, 1406, 1457, 1266, 529, 1376, 1470, 166, 384, 1638, 599, 1646, 1568, 0, 1154, 1132, 721, 1410, 248, 1496, 474, 1438, 1325, 236, 976, 1001, 872, 1263, 1736, 599, 1068, 1223, 1426, 1417, 1583, 1554, 775, 237, 1424, 1303, 907, 1666, 380, 1109, 1429, 958, 1629, 775, 719, 1618, 4, 346, 1370, 315, 1160, 28, 1287, 1648, 1370, 999, 1421, 1287, 901, 1236, 1240, 1510, 1330, 1820, 1589, 839, 1432, 1674, 1762, 1648, 307, 630, 1154, 37, 1142, 449, 526, 1255, 1321, 1436, 230, 1436, 1450, 185, 165, 244, 244, 128011, 128001 ]
[ 128000, 128002, 4071, 358, 2846, 1633, 24450, 369, 279, 5818, 29026, 63911, 11, 279, 1176, 832, 311, 2586, 389, 279, 23469, 11, 539, 23469, 11, 16795, 12623, 304, 279, 4498, 13, 358, 2846, 5128, 2771, 433, 374, 13, 2100, 358, 8659, 690, 3821, 1124, 13, 128003, 128005, 495, 322, 672, 1131, 199, 247, 680, 1707, 1147, 1042, 1426, 53, 836, 1082, 147, 876, 454, 25, 1645, 549, 951, 1056, 1240, 1141, 1168, 1077, 1309, 495, 438, 1489, 1325, 1206, 1197, 579, 695, 1439, 860, 1330, 1009, 519, 455, 935, 1621, 1532, 126, 530, 1215, 1615, 1775, 1029, 1196, 1221, 356, 970, 393, 682, 1257, 537, 952, 1420, 162, 1520, 969, 407, 1581, 1432, 1247, 1453, 1687, 1690, 1294, 821, 1426, 1535, 298, 1427, 1617, 1238, 1455, 1376, 1588, 1653, 62, 1369, 1628, 1519, 86, 878, 1820, 1219, 277, 1533, 1780, 498, 1336, 1423, 759, 1736, 1143, 913, 1787, 844, 1633, 870, 714, 1776, 493, 1485, 1410, 858, 1798, 1411, 1238, 938, 328, 1701, 1690, 105, 1490, 1510, 1268, 1544, 644, 932, 1805, 1046, 1389, 1533, 48, 184, 268, 1417, 1259, 879, 844, 30, 217, 98, 1631, 1410, 932, 862, 1732, 1285, 1104, 321, 1369, 231, 742, 930, 29, 859, 1166, 1249, 788, 835, 1565, 1008, 1589, 57, 932, 546, 214, 1288, 882, 503, 824, 1485, 835, 1250, 890, 1763, 454, 898, 1120, 746, 143, 615, 1035, 1313, 1726, 33, 184, 920, 428, 1787, 533, 1646, 1456, 1021, 1045, 426, 1809, 470, 620, 693, 31, 895, 1500, 1318, 911, 1320, 678, 1758, 340, 664, 945, 178, 1097, 637, 128, 983, 517, 79, 1081, 1104, 1663, 1431, 132, 1516, 748, 1495, 1800, 1439, 656, 1807, 634, 1532, 1200, 1042, 1077, 1411, 520, 1594, 308, 806, 802, 1136, 344, 678, 1798, 780, 738, 867, 1081, 1396, 1451, 529, 1558, 1376, 1394, 1363, 1287, 1830, 1320, 105, 1381, 1411, 297, 1783, 1624, 1833, 1175, 485, 1057, 1308, 1063, 1098, 125, 444, 1367, 1400, 116, 1659, 375, 1615, 213, 452, 736, 631, 1711, 1651, 806, 1828, 1166, 1068, 1524, 791, 1381, 1498, 1078, 702, 664, 1639, 1365, 1830, 1635, 486, 1752, 1668, 1714, 788, 1716, 1034, 1532, 1489, 1034, 1741, 1230, 1175, 1799, 1214, 495, 86, 649, 693, 313, 968, 1667, 1059, 977, 1342, 687, 748, 1528, 473, 1447, 656, 1711, 1329, 1206, 887, 860, 571, 1113, 790, 1330, 952, 92, 1243, 1811, 642, 730, 1462, 764, 83, 1427, 847, 841, 966, 128, 1335, 1611, 1517, 1537, 508, 397, 1336, 1393, 1034, 13, 1249, 962, 55, 928, 864, 1386, 1441, 1335, 512, 179, 1437, 347, 147, 41, 292, 260, 1808, 1261, 815, 1367, 1829, 1071, 1797, 1797, 1091, 714, 1046, 1493, 1324, 635, 1584, 1280, 1030, 927, 1330, 1464, 1762, 1414, 1088, 577, 556, 46, 1583, 1527, 1744, 1716, 1720, 1755, 913, 1429, 1326, 1331, 1166, 303, 1498, 1310, 1670, 1372, 1465, 1083, 1766, 1773, 1347, 19, 1647, 1304, 1305, 1352, 1185, 895, 495, 1711, 1739, 1179, 1486, 1556, 1058, 1261, 27, 963, 666, 1718, 1, 122, 1583, 1283, 1035, 1016, 101, 438, 1634, 1270, 1326, 793, 595, 488, 834, 340, 790, 825, 848, 774, 1027, 122, 648, 519, 1027, 1494, 1330, 47, 1633, 714, 409, 182, 217, 1528, 296, 98, 1657, 1673, 1006, 1713, 1458, 927, 844, 1632, 231, 1631, 1667, 934, 898, 1794, 82, 197, 642, 777, 1098, 309, 102, 756, 303, 756, 1392, 510, 1221, 1422, 714, 407, 400, 195, 1364, 556, 320, 999, 556, 1364, 1631, 0, 1265, 1310, 1366, 1473, 911, 191, 1408, 1175, 197, 875, 1451, 184, 1807, 741, 1409, 1521, 1588, 1633, 1342, 0, 1397, 749, 1724, 1349, 493, 1271, 1195, 424, 1427, 855, 367, 1271, 112, 1202, 359, 36, 1189, 657, 1189, 1183, 545, 1712, 880, 1068, 1591, 1755, 1629, 1414, 1435, 1526, 1331, 860, 783, 1314, 1041, 1506, 1439, 48, 17, 1170, 1008, 99, 772, 1453, 1313, 1241, 1478, 1355, 1683, 1193, 1206, 397, 1488, 1563, 1384, 833, 1065, 1656, 15, 1715, 1441, 949, 1615, 889, 1761, 631, 1061, 1797, 919, 1755, 1155, 1178, 1534, 1208, 882, 134, 940, 143, 583, 1322, 878, 1274, 1821, 688, 1392, 1, 1443, 19, 1337, 917, 1470, 1607, 1681, 577, 1661, 38, 407, 1580, 198, 1638, 19, 424, 1006, 827, 829, 1097, 1271, 277, 1438, 1427, 372, 1058, 1379, 1257, 954, 1735, 1185, 1147, 570, 294, 29, 393, 723, 604, 841, 1014, 1661, 1636, 1748, 782, 1680, 1180, 1156, 1423, 1342, 644, 856, 1490, 1067, 1153, 644, 269, 1777, 980, 395, 1490, 1146, 917, 1315, 1774, 389, 625, 910, 1231, 269, 1142, 616, 274, 1150, 1625, 1103, 514, 692, 1049, 1540, 301, 994, 1356, 879, 123, 1194, 1210, 422, 147, 1424, 76, 1420, 836, 1005, 653, 1385, 1424, 1716, 1766, 239, 1287, 407, 1400, 328, 736, 1383, 1682, 1378, 965, 1235, 700, 1804, 1399, 1234, 1098, 1492, 1501, 1754, 1341, 1230, 893, 336, 1223, 1784, 1735, 227, 165, 244, 244, 128011, 128001 ]
[ 128000, 128002, 4599, 814, 4295, 16795, 45762, 719, 369, 1457, 358, 2846, 1120, 2133, 1022, 5044, 311, 387, 6724, 10978, 449, 499, 7752, 13, 2030, 379, 12791, 11, 358, 4510, 41578, 56147, 716, 323, 279, 54304, 44396, 388, 11, 358, 1781, 430, 574, 279, 836, 11, 323, 33093, 88, 323, 22862, 75, 38800, 323, 27200, 1729, 11, 814, 1051, 682, 10307, 279, 559, 12, 499, 1440, 11, 279, 2875, 477, 6007, 4101, 477, 8996, 433, 374, 11, 1120, 5353, 37080, 49422, 374, 1457, 1093, 872, 13697, 13, 128003, 128005, 986, 692, 624, 465, 883, 981, 444, 1465, 255, 1385, 934, 1392, 901, 616, 592, 876, 1082, 783, 1447, 1781, 783, 785, 940, 196, 1078, 740, 158, 257, 748, 823, 1310, 1102, 1170, 664, 1661, 510, 1252, 1471, 69, 1758, 1497, 796, 1743, 190, 898, 1776, 253, 1310, 678, 1357, 858, 911, 1493, 495, 1777, 1622, 781, 1658, 1813, 1375, 1388, 1383, 1303, 1648, 1057, 1686, 1403, 1647, 549, 828, 202, 1427, 320, 1427, 1426, 454, 1598, 1796, 1556, 449, 837, 1095, 832, 669, 1093, 1628, 1606, 1624, 1217, 1145, 614, 1763, 687, 1339, 656, 1792, 1240, 1664, 1240, 448, 33, 1711, 1521, 1683, 1300, 1581, 1485, 1779, 29, 1228, 1326, 28, 1464, 753, 694, 363, 1385, 516, 396, 696, 1731, 549, 1320, 1734, 231, 1637, 1078, 942, 341, 1498, 79, 524, 238, 87, 208, 1135, 393, 880, 138, 152, 191, 1002, 1237, 1761, 384, 132, 549, 52, 1088, 493, 1310, 1687, 639, 1769, 1306, 1098, 1378, 1134, 1212, 1720, 979, 1786, 1164, 1139, 1735, 1175, 1649, 1746, 1432, 1806, 805, 620, 1285, 509, 1474, 1495, 1110, 1209, 983, 1727, 1757, 758, 1762, 1355, 1535, 1230, 1261, 1483, 757, 1739, 320, 738, 1228, 182, 815, 1524, 874, 1180, 452, 1075, 560, 324, 864, 208, 128, 376, 83, 616, 1226, 535, 39, 1800, 321, 1572, 1034, 688, 196, 239, 917, 1679, 658, 1753, 202, 714, 1519, 67, 1649, 979, 687, 1799, 715, 1298, 1489, 579, 1806, 1682, 1259, 809, 1263, 1147, 1324, 57, 455, 1820, 1147, 688, 1733, 57, 1336, 1024, 682, 1537, 798, 1329, 81, 828, 665, 221, 1766, 221, 1333, 705, 1278, 1341, 1710, 637, 1642, 1797, 1803, 1282, 439, 325, 1296, 317, 1325, 1171, 186, 520, 1139, 498, 952, 979, 1350, 1531, 1411, 1257, 1434, 1426, 1680, 277, 397, 1392, 1177, 1554, 1506, 270, 859, 764, 1408, 637, 567, 1069, 649, 614, 837, 302, 691, 1408, 355, 911, 917, 1021, 36, 990, 917, 1592, 1525, 1251, 911, 1671, 793, 1298, 1223, 607, 793, 616, 71, 1758, 646, 1777, 1646, 1730, 1777, 1277, 1454, 1466, 575, 1719, 858, 703, 154, 783, 1225, 913, 891, 1832, 1388, 1396, 1161, 1062, 901, 1392, 943, 621, 1638, 642, 1832, 142, 1801, 944, 913, 1282, 697, 1068, 1247, 1498, 560, 616, 1519, 983, 1615, 407, 1166, 399, 782, 1687, 239, 621, 1730, 725, 1243, 1166, 1537, 1781, 1756, 1727, 1730, 1292, 1124, 701, 949, 4, 1689, 1374, 1669, 697, 1403, 1356, 452, 179, 1103, 282, 1066, 1651, 956, 973, 67, 1304, 86, 700, 920, 1470, 510, 1002, 1450, 1679, 1704, 1411, 1646, 1738, 979, 1832, 1313, 1088, 1648, 400, 1795, 1458, 927, 1648, 1098, 1370, 957, 1036, 1817, 1683, 1164, 1767, 591, 649, 169, 1589, 626, 1611, 398, 945, 48, 1691, 1329, 1253, 137, 536, 1533, 221, 1308, 410, 115, 934, 300, 106, 1492, 140, 887, 349, 1066, 678, 790, 1243, 1827, 1774, 1819, 1611, 1455, 825, 945, 1323, 29, 1415, 1526, 452, 1432, 955, 631, 1624, 443, 1689, 1364, 1625, 1549, 1345, 1392, 1791, 1223, 1493, 775, 1330, 1416, 549, 1077, 109, 143, 1372, 1698, 822, 1107, 439, 1735, 1455, 1828, 41, 1709, 166, 1004, 1126, 1310, 1237, 195, 834, 576, 656, 1437, 1342, 503, 1752, 1808, 1285, 1797, 1717, 1208, 1127, 754, 441, 1460, 716, 1235, 268, 806, 508, 1150, 1143, 1384, 955, 155, 126, 789, 1256, 1612, 1373, 1325, 272, 1064, 1264, 984, 1024, 1429, 1754, 1436, 1705, 1164, 1059, 717, 1050, 1486, 1478, 1168, 307, 334, 680, 1148, 1797, 1385, 1477, 927, 723, 1286, 943, 1075, 592, 966, 767, 860, 1280, 943, 790, 13, 714, 1272, 570, 95, 454, 467, 1791, 400, 310, 895, 55, 1474, 1366, 1019, 1519, 374, 1783, 687, 1394, 50, 67, 1175, 129, 1342, 440, 315, 1532, 4, 1790, 1829, 519, 774, 615, 1687, 1485, 536, 1819, 764, 913, 1781, 695, 644, 1748, 1047, 557, 1751, 1015, 742, 1815, 1025, 776, 1268, 1762, 1303, 665, 1762, 1156, 514, 319, 1812, 548, 1391, 437, 266, 1079, 66, 1486, 1683, 728, 1037, 490, 251, 1128, 646, 275, 792, 145, 751, 251, 505, 935, 1643, 895, 1625, 398, 1290, 1018, 1382, 1318, 860, 395, 191, 1229, 1344, 864, 1825, 1272, 478, 1817, 719, 312, 1006, 1121, 1425, 1621, 1286, 1063, 1420, 211, 984, 1300, 503, 1185, 1521, 389, 918, 1374, 506, 42, 1225, 1488, 774, 397, 1006, 347, 949, 1584, 1166, 1218, 1554, 1056, 1741, 230, 1166, 1287, 315, 1400, 1376, 6, 1238, 399, 1126, 1109, 547, 757, 587, 138, 934, 592, 430, 1186, 637, 1166, 1804, 1827, 1786, 1745, 944, 1156, 714, 1018, 1443, 1221, 1335, 1828, 1241, 1498, 1042, 346, 1147, 1247, 955, 998, 753, 1680, 1776, 1300, 1426, 448, 648, 1748, 1420, 1501, 1468, 1332, 1453, 989, 1042, 1645, 656, 973, 384, 1287, 1280, 592, 1742, 1056, 1345, 994, 1160, 1455, 1330, 687, 787, 1024, 664, 850, 533, 616, 1461, 1633, 177, 820, 183, 1261, 1261, 524, 467, 374, 943, 25, 783, 1040, 173, 856, 1286, 787, 368, 346, 362, 687, 1470, 1519, 1296, 1627, 1225, 1370, 1042, 1493, 990, 1337, 520, 1756, 1270, 395, 1790, 493, 617, 1565, 310, 1792, 1494, 1446, 1431, 733, 1720, 583, 1104, 191, 1750, 1161, 850, 1375, 688, 1672, 1374, 317, 1637, 705, 1396, 715, 326, 1751, 966, 1406, 1439, 1374, 0, 1646, 1033, 1703, 26, 1270, 471, 621, 1486, 1139, 214, 1739, 407, 1267, 1175, 1058, 1146, 297, 1284, 860, 484, 1278, 37, 1722, 1331, 1217, 512, 1456, 1646, 955, 1226, 254, 798, 794, 1162, 402, 370, 1424, 146, 1203, 1369, 639, 1698, 5, 1429, 837, 83, 1608, 848, 1534, 298, 1506, 1240, 1284, 1454, 1284, 1770, 1771, 1061, 1553, 719, 1436, 1683, 989, 1777, 1458, 1175, 1553, 1292, 1665, 1251, 672, 1137, 77, 885, 1347, 1310, 789, 1423, 356, 779, 1174, 277, 1431, 133, 138, 1240, 840, 1272, 228, 1307, 456, 243, 855, 79, 277, 1140, 2, 1141, 359, 529, 183, 1318, 600, 126, 1295, 1368, 1340, 741, 589, 491, 524, 173, 764, 956, 173, 25, 521, 236, 614, 1416, 1160, 1437, 1761, 944, 1468, 714, 1342, 239, 944, 1083, 483, 648, 1625, 882, 126, 310, 1588, 1304, 1170, 1261, 57, 479, 1341, 344, 1002, 1482, 440, 1403, 1310, 308, 1226, 1018, 962, 1320, 308, 1214, 1476, 713, 1525, 333, 1573, 1668, 1527, 1145, 1747, 582, 676, 1570, 1242, 762, 1543, 1486, 1818, 876, 1681, 1027, 1340, 1341, 1734, 656, 123, 22, 658, 913, 1370, 621, 1819, 1113, 1444, 1351, 898, 1573, 628, 1635, 1468, 1008, 1685, 1488, 1573, 876, 1655, 1770, 671, 630, 80, 490, 1231, 761, 861, 174, 752, 377, 905, 1480, 505, 717, 505, 257, 824, 1242, 986, 986, 16, 727, 975, 762, 513, 257, 601, 923, 762, 584, 1711, 1351, 955, 1069, 882, 1132, 47, 370, 1281, 535, 589, 1473, 642, 1015, 656, 991, 756, 973, 1335, 1099, 1005, 831, 782, 1588, 1394, 599, 1412, 901, 440, 1404, 858, 1349, 1375, 1061, 966, 855, 1651, 1511, 63, 557, 805, 1633, 462, 1179, 1810, 462, 1311, 362, 214, 1489, 1345, 909, 1766, 1610, 1003, 1682, 813, 1099, 945, 752, 1476, 688, 1495, 143, 1092, 1337, 662, 1214, 217, 1003, 882, 935, 1766, 810, 971, 1776, 530, 624, 1268, 40, 981, 1433, 936, 1725, 1246, 447, 1523, 1760, 399, 448, 1450, 812, 1565, 1415, 361, 28, 1714, 1518, 1374, 1507, 619, 1272, 810, 821, 480, 928, 870, 662, 1567, 1139, 184, 1545, 990, 1470, 473, 166, 790, 1018, 50, 1212, 11, 746, 1496, 1366, 1770, 230, 617, 999, 508, 1357, 440, 503, 1024, 182, 1453, 202, 629, 1527, 1221, 1518, 592, 1337, 1387, 328, 1484, 665, 503, 1631, 395, 1348, 949, 1007, 616, 938, 73, 1693, 371, 1019, 858, 956, 755, 254, 626, 848, 827, 825, 1418, 1468, 1801, 1429, 239, 439, 1028, 205, 1239, 790, 1490, 790, 843, 1694, 1827, 1025, 1238, 756, 1491, 277, 1710, 1206, 356, 1651, 794, 295, 1069, 1775, 104, 1375, 1427, 895, 753, 399, 46, 790, 10, 556, 1411, 154, 1797, 1430, 1363, 1704, 1057, 1282, 1803, 1094, 1517, 1214, 767, 1809, 767, 719, 1458, 178, 1832, 1379, 1370, 1504, 1091, 1638, 1809, 849, 1784, 1215, 1024, 1144, 1290, 1385, 169, 852, 832, 765, 620, 899, 507, 895, 1468, 1175, 36, 1534, 372, 576, 4, 320, 175, 129, 1296, 1370, 202, 1677, 640, 368, 1448, 993, 1095, 1147, 1171, 112, 485, 660, 1739, 371, 730, 108, 1793, 552, 1642, 682, 1806, 794, 1374, 1296, 1773, 1674, 1699, 1792, 676, 1751, 719, 870, 1124, 438, 475, 831, 927, 475, 1563, 357, 1068, 745, 321, 804, 745, 395, 1782, 822, 317, 1284, 1738, 594, 918, 705, 953, 1029, 834, 1370, 234, 1669, 430, 1444, 26, 55, 1383, 864, 875, 1364, 317, 1035, 1267, 1524, 493, 1670, 399, 1270, 1477, 440, 214, 1164, 47, 653, 822, 268, 1255, 756, 1381, 1005, 1081, 1164, 1457, 1222, 990, 777, 1250, 787, 1233, 183, 848, 1296, 654, 319, 1832, 1661, 121, 868, 1790, 1224, 581, 609, 86, 446, 1147, 1301, 907, 1206, 946, 1330, 1311, 55, 1505, 1167, 587, 58, 123, 1316, 973, 407, 1457, 671, 1382, 1414, 1070, 1223, 523, 766, 1027, 1178, 997, 90, 790, 182, 1683, 973, 644, 1212, 363, 663, 1220, 355, 174, 1108, 307, 674, 1181, 275, 1717, 524, 622, 289, 153, 699, 492, 51, 841, 477, 138, 626, 65, 1140, 212, 977, 192, 186, 871, 228, 173, 828, 43, 1224, 860, 926, 384, 1252, 1718, 295, 858, 927, 577, 1411, 782, 1300, 1665, 1287, 1798, 1306, 1410, 1803, 1170, 719, 1432, 1422, 128011, 128001 ]
[ 128000, 128002, 3112, 568, 5992, 1093, 420, 323, 568, 596, 264, 2697, 1099, 6895, 323, 814, 2351, 1120, 4560, 311, 11, 499, 1440, 11, 636, 264, 10536, 704, 315, 813, 14992, 11, 65655, 2919, 13, 2030, 22371, 11, 15341, 3604, 574, 264, 1633, 27373, 3752, 304, 279, 5818, 13, 1283, 2751, 1093, 264, 2697, 23163, 955, 3245, 11, 422, 358, 2846, 539, 37104, 13, 2100, 430, 574, 5128, 7155, 323, 568, 574, 128003, 128005, 544, 978, 1411, 1029, 961, 1349, 1344, 1253, 1146, 1048, 1718, 1388, 1349, 1384, 399, 1218, 1283, 974, 1091, 617, 1514, 1397, 1155, 91, 755, 998, 108, 557, 117, 374, 1152, 1830, 1464, 1611, 510, 886, 166, 202, 1061, 631, 951, 58, 711, 809, 870, 270, 1345, 1815, 128, 1788, 592, 1396, 931, 1523, 1267, 1687, 1491, 1541, 1405, 733, 1703, 1616, 1280, 847, 841, 609, 7, 973, 1353, 138, 395, 356, 1263, 1402, 556, 1235, 736, 129, 577, 315, 129, 117, 631, 1107, 1166, 1476, 870, 234, 1778, 62, 269, 636, 775, 1811, 428, 428, 1217, 1387, 1166, 789, 1802, 1700, 1335, 143, 191, 268, 1416, 1226, 1046, 1588, 700, 618, 1231, 1400, 444, 1157, 1455, 177, 1322, 1661, 1745, 1129, 1246, 1015, 862, 811, 1064, 125, 557, 1186, 282, 352, 1804, 370, 269, 1238, 983, 317, 1495, 1399, 742, 1321, 1746, 1706, 1638, 117, 1356, 290, 158, 1778, 308, 191, 1626, 276, 1069, 1527, 320, 269, 1250, 714, 1263, 749, 1240, 1517, 656, 1002, 1086, 962, 123, 1703, 1004, 1461, 931, 1025, 858, 203, 328, 892, 1391, 430, 987, 756, 274, 777, 1349, 503, 701, 1473, 1287, 1794, 1286, 1775, 47, 927, 1470, 198, 581, 368, 335, 1752, 22, 736, 1483, 947, 1701, 915, 632, 1189, 383, 557, 1276, 13, 1462, 901, 1030, 1498, 1403, 1008, 735, 1345, 1372, 1511, 1752, 374, 639, 1526, 1455, 927, 787, 1651, 1760, 1368, 1120, 1761, 1534, 1228, 1381, 1592, 361, 1555, 1272, 1251, 1364, 937, 1436, 1426, 1330, 1400, 197, 1372, 954, 730, 1621, 709, 861, 1003, 1805, 962, 1471, 631, 55, 1217, 700, 1427, 1804, 1073, 340, 588, 1627, 1716, 732, 578, 971, 1649, 596, 1459, 28, 911, 1305, 1675, 498, 611, 817, 53, 1639, 1457, 90, 691, 1373, 1104, 985, 977, 1372, 1041, 632, 755, 1204, 76, 1420, 1435, 1460, 1287, 1083, 1466, 1347, 234, 1699, 1030, 1325, 1534, 1753, 368, 1817, 1230, 1375, 1378, 1253, 790, 1406, 806, 1250, 864, 1596, 624, 679, 1283, 882, 415, 198, 1247, 962, 333, 1714, 865, 1719, 1665, 1370, 1421, 989, 1393, 1489, 512, 1428, 1214, 788, 1705, 640, 1699, 1683, 781, 1062, 975, 544, 674, 8, 1803, 1779, 863, 1081, 1567, 1340, 1597, 749, 1723, 962, 73, 1407, 1241, 825, 1241, 107, 1581, 886, 158, 1723, 454, 395, 1782, 1018, 48, 1763, 863, 742, 989, 1401, 929, 192, 1352, 430, 742, 782, 126, 1170, 514, 1130, 74, 1486, 407, 742, 886, 473, 1152, 1333, 1778, 86, 1519, 1830, 1770, 750, 1716, 1565, 1225, 1381, 995, 42, 900, 561, 799, 555, 281, 396, 8, 1331, 1516, 527, 1401, 1634, 440, 143, 1494, 471, 882, 1350, 577, 197, 1175, 844, 1533, 549, 687, 1651, 1018, 1818, 1688, 176, 1741, 471, 1403, 1758, 1636, 248, 1610, 1415, 269, 890, 783, 940, 1267, 1625, 869, 1339, 1212, 1265, 1075, 315, 757, 1496, 430, 1237, 1287, 1651, 794, 407, 86, 277, 362, 1736, 1410, 1134, 916, 483, 1633, 1185, 1825, 10, 886, 507, 407, 1519, 399, 1817, 1215, 1549, 1652, 1370, 1701, 1428, 1034, 1809, 1164, 1370, 1421, 1170, 1631, 1322, 989, 1805, 1120, 1349, 1813, 1432, 1830, 1025, 666, 486, 223, 578, 1435, 1224, 1160, 1426, 192, 1559, 1789, 213, 1115, 10, 100, 374, 1534, 270, 245, 855, 93, 181, 844, 813, 1450, 1297, 1318, 183, 1757, 736, 1332, 671, 1350, 507, 51, 1032, 479, 122, 874, 346, 1117, 1178, 15, 1640, 1470, 1373, 927, 996, 1206, 100, 371, 306, 135, 547, 260, 142, 135, 1173, 1127, 1286, 1013, 1036, 1171, 1466, 282, 1342, 556, 592, 1817, 402, 921, 682, 440, 853, 876, 1240, 1791, 1399, 1651, 1483, 428, 286, 920, 183, 239, 1400, 93, 312, 1009, 1022, 1650, 1422, 1594, 1818, 1718, 1791, 1091, 1328, 1110, 47, 703, 769, 679, 1424, 113, 716, 711, 780, 86, 764, 682, 1558, 335, 1317, 1029, 609, 393, 260, 1451, 282, 951, 493, 269, 1817, 1746, 1453, 1098, 1161, 1298, 790, 1662, 1002, 1053, 1776, 1117, 955, 628, 36, 1647, 570, 248, 58, 1178, 303, 876, 239, 741, 1178, 576, 1082, 1336, 1433, 1738, 1478, 349, 1002, 1489, 749, 1752, 1611, 1113, 1086, 340, 520, 1449, 471, 1030, 934, 648, 1680, 991, 556, 126, 1658, 1034, 815, 805, 1774, 861, 1375, 863, 640, 202, 1378, 1241, 488, 1357, 1082, 455, 1738, 128, 1490, 1034, 1445, 1268, 1701, 594, 242, 1478, 1038, 28, 1403, 973, 1800, 1034, 858, 217, 1684, 1091, 753, 742, 976, 782, 158, 1804, 471, 107, 85, 759, 481, 1082, 662, 865, 898, 1021, 321, 1750, 428, 644, 1527, 234, 738, 333, 367, 1564, 1521, 1540, 1685, 1535, 1437, 1666, 745, 412, 615, 323, 587, 1604, 1283, 297, 1529, 328, 1618, 344, 1511, 527, 983, 314, 398, 123, 1586, 320, 1449, 1578, 957, 1783, 11, 741, 1124, 512, 82, 367, 1298, 309, 82, 1088, 115, 1356, 498, 159, 1743, 300, 159, 1789, 467, 1820, 831, 1795, 1656, 630, 1306, 991, 1325, 550, 1240, 497, 399, 658, 1075, 182, 10, 972, 1238, 1257, 1676, 1478, 727, 1018, 1139, 1475, 1340, 1486, 1633, 848, 1328, 57, 308, 1318, 132, 1353, 485, 961, 6, 1263, 18, 1473, 510, 1658, 577, 1556, 864, 1, 973, 1820, 1677, 1357, 1817, 1752, 86, 1687, 624, 1144, 1479, 526, 1627, 1126, 1803, 374, 1406, 1407, 913, 1558, 626, 1778, 1107, 834, 1648, 904, 534, 879, 470, 933, 1809, 1073, 1351, 1813, 1412, 1117, 1714, 660, 1651, 446, 1019, 636, 443, 623, 1821, 1803, 1224, 428, 682, 1591, 556, 1002, 4, 407, 1737, 863, 1027, 1532, 780, 1622, 1143, 92, 48, 1022, 1680, 993, 1502, 1650, 213, 1296, 654, 1403, 1391, 1173, 173, 374, 382, 604, 303, 1624, 315, 125, 1155, 808, 1663, 935, 1476, 1345, 117, 368, 1658, 1028, 19, 1063, 658, 621, 1445, 833, 1403, 158, 1825, 750, 98, 1635, 911, 877, 1808, 1053, 992, 989, 466, 1612, 1342, 1604, 1450, 639, 1043, 797, 718, 1393, 142, 1068, 1125, 1697, 1078, 444, 1050, 774, 481, 1024, 297, 954, 117, 503, 1284, 1240, 1365, 907, 1029, 110, 644, 715, 321, 1389, 711, 302, 595, 614, 1758, 579, 184, 1494, 1459, 1449, 1108, 1683, 42, 1459, 1735, 1393, 870, 1820, 1088, 1476, 1367, 1139, 1677, 1355, 1342, 1822, 989, 1476, 1770, 1134, 1304, 1163, 1322, 921, 207, 301, 548, 1097, 803, 1479, 1345, 443, 1827, 581, 184, 415, 479, 631, 181, 595, 454, 213, 715, 10, 767, 930, 554, 1284, 1496, 590, 1024, 452, 789, 166, 215, 1688, 592, 576, 507, 36, 1657, 546, 1464, 533, 1795, 927, 248, 1225, 943, 662, 867, 688, 1284, 700, 1674, 749, 1240, 1283, 213, 1400, 166, 510, 554, 886, 937, 1504, 349, 688, 749, 1030, 519, 326, 1759, 1143, 956, 228, 84, 123, 309, 474, 282, 1066, 1015, 637, 720, 607, 182, 1761, 570, 9, 519, 407, 687, 510, 1310, 1798, 639, 1826, 1687, 1790, 1809, 872, 495, 1803, 1162, 839, 658, 1709, 1534, 368, 742, 1678, 775, 1502, 739, 1297, 1664, 1732, 530, 1322, 1831, 1830, 1235, 1655, 1306, 1797, 42, 949, 158, 211, 134, 1707, 1317, 249, 443, 506, 1740, 1227, 184, 217, 214, 1659, 1511, 748, 1590, 490, 792, 1738, 1749, 1746, 1160, 1655, 1434, 1370, 1465, 1139, 1528, 1668, 943, 933, 1393, 1021, 984, 1412, 1475, 1537, 1039, 144, 396, 1797, 1481, 1077, 858, 1147, 1078, 1088, 1800, 57, 1620, 713, 1341, 1692, 333, 920, 834, 1558, 1270, 1389, 1518, 1827, 1307, 1374, 1277, 1435, 1629, 1291, 1326, 1804, 1498, 1395, 214, 127, 682, 55, 920, 286, 328, 882, 1698, 1710, 1761, 1754, 22, 1638, 1476, 1418, 165, 156, 244, 244, 128011, 128001 ]
[ 128000, 128002, 79928, 477, 25761, 1120, 315, 1268, 11, 499, 1440, 11, 5016, 323, 1120, 27373, 568, 374, 11, 499, 1440, 11, 8994, 1694, 304, 264, 32415, 3967, 5818, 13, 128003, 128005, 870, 1438, 1089, 210, 798, 1212, 115, 1427, 665, 390, 1803, 370, 588, 1230, 367, 583, 979, 783, 328, 443, 1390, 560, 662, 176, 1457, 1283, 315, 1468, 1497, 1498, 1402, 1618, 1326, 1373, 775, 801, 1284, 1378, 576, 682, 703, 1330, 1237, 59, 1268, 255, 414, 1815, 1382, 656, 1521, 1748, 863, 1772, 1347, 966, 1183, 644, 1073, 234, 753, 637, 1463, 592, 621, 608, 1029, 621, 1641, 1166, 158, 701, 858, 738, 1571, 48, 1605, 1387, 920, 409, 213, 1459, 1354, 1781, 1809, 943, 1818, 1355, 927, 1770, 1034, 1400, 1434, 1082, 1797, 1104, 1139, 1821, 1329, 1797, 1118, 1343, 301, 1010, 960, 995, 333, 812, 1682, 1300, 1261, 901, 506, 143, 46, 1726, 1645, 46, 592, 26, 510, 1713, 1363, 1524, 1405, 604, 1307, 742, 79, 536, 376, 41, 1754, 1342, 1445, 1337, 1420, 1096, 1105, 1307, 1401, 1105, 1174, 393, 93, 764, 497, 827, 699, 637, 424, 844, 497, 1412, 424, 1588, 390, 727, 571, 1055, 1335, 1158, 868, 590, 1618, 1509, 1499, 1149, 843, 1456, 1373, 728, 905, 1121, 988, 460, 1032, 805, 1620, 1762, 1513, 1267, 666, 1656, 1248, 1468, 1683, 1166, 1816, 1139, 937, 1784, 944, 1704, 361, 1375, 1505, 1240, 32, 1532, 90, 786, 1304, 1696, 750, 1778, 546, 898, 1250, 493, 834, 1530, 1313, 1682, 1618, 428, 952, 1374, 949, 1444, 1772, 6, 1447, 1323, 189, 1136, 1627, 181, 1620, 6, 1415, 1616, 1701, 1736, 1500, 1511, 1718, 308, 1410, 1808, 1004, 1270, 1384, 101, 1621, 923, 1057, 1770, 1556, 1061, 1185, 1175, 1225, 1211, 849, 1418, 1788, 821, 1138, 938, 1033, 1070, 379, 1142, 1424, 1027, 1075, 1280, 1349, 848, 48, 1784, 1817, 1709, 1482, 1558, 769, 949, 1468, 656, 1366, 198, 213, 1238, 1310, 1132, 1192, 847, 1542, 1438, 741, 1232, 581, 93, 1516, 750, 1620, 1598, 1668, 744, 1309, 452, 1325, 595, 637, 1521, 349, 1235, 719, 1041, 1818, 1098, 1086, 1087, 569, 236, 695, 697, 205, 809, 461, 700, 973, 1300, 532, 1500, 1462, 1424, 320, 890, 217, 775, 1082, 1649, 615, 1412, 1805, 1825, 1241, 1632, 1624, 1061, 1430, 22, 1399, 1267, 1571, 636, 856, 1597, 485, 1444, 34, 1818, 1780, 1363, 1677, 1263, 608, 860, 1267, 527, 789, 1568, 388, 1347, 157, 1541, 1160, 1450, 1417, 1389, 1035, 1402, 1366, 1672, 1588, 448, 183, 1547, 233, 1351, 1546, 1155, 1603, 983, 1746, 1332, 1581, 678, 1573, 937, 1703, 738, 1585, 197, 1725, 639, 1686, 1468, 132, 502, 166, 137, 454, 213, 1166, 1642, 634, 1685, 1567, 1292, 873, 1307, 997, 352, 1607, 849, 324, 326, 1585, 577, 429, 1571, 700, 1507, 837, 1506, 1092, 924, 840, 612, 1154, 199, 1688, 863, 892, 1019, 1567, 848, 520, 1582, 865, 479, 125, 1577, 18, 367, 1606, 202, 217, 273, 376, 1619, 362, 615, 1552, 616, 1592, 1415, 1530, 1546, 591, 1096, 1290, 1181, 1238, 1375, 1809, 863, 1632, 1677, 640, 1108, 1287, 938, 1770, 485, 1128, 1804, 930, 1456, 385, 668, 199, 265, 717, 1389, 1574, 1282, 200, 485, 628, 1387, 973, 124, 1308, 30, 1820, 293, 1313, 113, 636, 836, 333, 385, 428, 1467, 92, 337, 753, 1130, 734, 92, 923, 562, 1033, 908, 633, 1806, 603, 751, 879, 1258, 1190, 36, 1736, 798, 1460, 877, 1619, 1295, 1521, 359, 1457, 589, 1286, 1204, 2, 1186, 1396, 1331, 700, 1441, 556, 1166, 1002, 556, 1701, 639, 1431, 1656, 847, 1572, 678, 1825, 1239, 969, 1802, 1467, 13, 964, 1304, 1075, 1096, 1493, 864, 681, 1581, 966, 624, 810, 678, 257, 1323, 1120, 770, 1362, 700, 662, 1349, 289, 629, 1781, 753, 439, 1688, 197, 1619, 1287, 1764, 1379, 1281, 882, 343, 110, 1513, 1764, 79, 1290, 1315, 1818, 1037, 437, 649, 879, 1418, 538, 165, 244, 244, 128011, 128001 ]
[ 128000, 128002, 4071, 63445, 11, 14224, 568, 374, 264, 36125, 1618, 11, 264, 5016, 1646, 36125, 13, 2052, 279, 1023, 6305, 430, 499, 3077, 3970, 1603, 11, 1093, 11, 499, 1440, 11, 1524, 37080, 49422, 477, 420, 14595, 1646, 430, 814, 1005, 13, 1628, 584, 3358, 387, 27393, 264, 15860, 315, 1023, 59432, 311, 15341, 304, 264, 5743, 14269, 1618, 13, 2030, 379, 12791, 11, 568, 374, 6724, 5016, 13, 128003, 128005, 1343, 1716, 892, 341, 738, 990, 1447, 1237, 155, 123, 890, 577, 1335, 409, 836, 1022, 409, 532, 1825, 1069, 629, 143, 557, 1081, 143, 48, 1351, 782, 1194, 714, 1700, 755, 201, 834, 1535, 213, 384, 230, 749, 1758, 1527, 1681, 1621, 1644, 1421, 1132, 855, 955, 339, 306, 412, 874, 579, 339, 373, 93, 756, 349, 1183, 569, 774, 716, 1817, 1468, 1330, 901, 1272, 305, 1485, 1081, 328, 158, 1326, 519, 1651, 154, 132, 1296, 510, 736, 440, 1387, 1720, 1110, 1416, 774, 15, 312, 1607, 485, 1193, 640, 1797, 428, 952, 1734, 833, 1750, 26, 1752, 1716, 911, 1670, 1482, 1618, 1267, 821, 1621, 1563, 529, 1388, 645, 1537, 1726, 344, 1731, 1077, 62, 789, 1499, 701, 1280, 1520, 154, 1615, 1363, 175, 1268, 595, 1389, 18, 1030, 817, 521, 1750, 178, 1267, 1057, 571, 1706, 1170, 1156, 1434, 1173, 1186, 408, 1438, 210, 466, 1317, 221, 1420, 829, 864, 966, 205, 1665, 825, 663, 1714, 1758, 1053, 1097, 19, 88, 1462, 299, 951, 179, 1195, 173, 1075, 1019, 1279, 1356, 1289, 1429, 1746, 1565, 400, 1462, 1024, 557, 1652, 882, 338, 383, 662, 885, 787, 968, 120, 421, 29, 729, 202, 709, 833, 184, 1065, 1403, 1416, 1052, 384, 734, 791, 1461, 807, 964, 174, 1065, 117, 86, 1436, 1646, 1553, 962, 1806, 1714, 701, 1144, 1379, 1458, 322, 435, 470, 351, 1108, 1207, 1568, 1726, 1820, 277, 1708, 10, 716, 273, 1680, 1759, 930, 1369, 1818, 823, 621, 1474, 1345, 196, 847, 1570, 297, 1228, 1312, 1057, 831, 1057, 1336, 1287, 1249, 328, 1081, 713, 787, 34, 1056, 1619, 631, 1593, 298, 1541, 1617, 1687, 1315, 1375, 1744, 1079, 1082, 1304, 1333, 1005, 1237, 1829, 1817, 1062, 869, 1079, 396, 1199, 1144, 203, 1292, 738, 1754, 177, 1351, 177, 1720, 1060, 1498, 147, 1189, 467, 524, 1368, 142, 1210, 152, 956, 545, 1005, 82, 1780, 860, 629, 1284, 1261, 688, 617, 1473, 1172, 1095, 1004, 1392, 269, 1607, 1063, 1155, 679, 1323, 1584, 814, 261, 1188, 963, 861, 1328, 470, 1134, 1421, 1360, 841, 1347, 1332, 1132, 828, 376, 809, 1365, 1308, 720, 1401, 637, 1281, 1353, 983, 932, 1632, 1630, 1412, 570, 86, 1424, 1086, 206, 424, 809, 764, 1066, 1173, 956, 9, 388, 1444, 1749, 1132, 120, 1421, 1671, 861, 736, 1470, 1736, 847, 1345, 1014, 711, 362, 843, 1147, 1335, 1478, 1098, 1274, 772, 1333, 174, 929, 1347, 1114, 1160, 1233, 1098, 1790, 933, 1212, 1809, 1428, 1098, 591, 1720, 1199, 396, 1108, 149, 167, 1137, 188, 1301, 1317, 610, 1109, 1147, 1191, 1416, 797, 1068, 860, 302, 1379, 252, 1386, 1258, 145, 1230, 922, 881, 15, 583, 731, 57, 1068, 1034, 424, 1798, 446, 1675, 755, 1026, 1701, 1243, 1408, 1758, 1637, 352, 1771, 863, 557, 1292, 529, 803, 1370, 520, 1704, 1394, 1392, 1272, 1453, 1800, 1093, 1573, 98, 1315, 1832, 1389, 898, 1807, 798, 1593, 1399, 703, 1797, 836, 1674, 1337, 55, 1699, 502, 835, 888, 1335, 593, 957, 1458, 1402, 1576, 197, 1756, 1283, 428, 1563, 1283, 1217, 1678, 273, 1715, 668, 1141, 594, 1036, 424, 1573, 797, 1304, 714, 1110, 1222, 1036, 951, 529, 1719, 903, 1649, 1469, 1505, 1099, 1115, 418, 1051, 752, 1383, 1372, 1569, 1524, 1472, 34, 1257, 867, 1369, 823, 1326, 438, 1470, 733, 1238, 807, 1724, 1257, 1798, 1661, 1740, 1518, 1825, 1760, 546, 1822, 485, 1027, 719, 1061, 230, 493, 166, 1376, 962, 448, 1466, 502, 783, 1654, 1061, 191, 1688, 230, 716, 865, 143, 758, 1470, 1249, 1451, 1336, 1796, 1386, 1742, 1459, 907, 734, 1286, 1786, 1753, 117, 1795, 1393, 362, 1822, 1436, 1600, 1528, 333, 1504, 1502, 302, 583, 1569, 918, 1526, 1599, 506, 742, 904, 1680, 1738, 819, 1447, 1260, 1077, 388, 312, 1047, 341, 909, 1412, 1165, 1460, 682, 831, 1404, 589, 1449, 609, 1172, 818, 181, 1790, 1680, 65, 727, 1598, 1395, 1433, 1818, 1496, 1030, 1536, 969, 1642, 969, 849, 1369, 1498, 1118, 1156, 231, 1155, 1794, 1305, 1015, 619, 1323, 1382, 484, 1773, 1637, 1813, 1799, 1397, 1506, 774, 567, 1015, 1631, 385, 775, 464, 1620, 1713, 1719, 1734, 1160, 1211, 716, 572, 621, 1152, 886, 456, 645, 860, 1793, 6, 611, 968, 700, 593, 645, 644, 925, 1292, 953, 1277, 857, 647, 601, 1015, 322, 872, 214, 793, 57, 1750, 780, 607, 619, 806, 1510, 1342, 593, 533, 644, 1262, 117, 703, 1549, 362, 1374, 62, 1370, 1438, 631, 611, 1379, 289, 1152, 549, 803, 1088, 644, 902, 123, 978, 388, 779, 1379, 1629, 174, 1121, 883, 1033, 1403, 1373, 1450, 1718, 1788, 1088, 1807, 1306, 1436, 1623, 1164, 1322, 1385, 1583, 1683, 1380, 1151, 1114, 1628, 387, 627, 1813, 149, 831, 735, 801, 625, 477, 925, 626, 603, 443, 606, 105, 1293, 525, 121, 730, 1781, 626, 1036, 1013, 1473, 1761, 321, 1781, 250, 1733, 1428, 1742, 940, 1435, 969, 1380, 775, 1638, 1457, 1549, 315, 1436, 863, 1270, 1375, 4, 1691, 1568, 808, 1421, 846, 1265, 614, 51, 443, 1734, 1238, 1545, 1730, 1466, 801, 1483, 1739, 1318, 376, 317, 1821, 1464, 1425, 1298, 1751, 1751, 1800, 1680, 518, 1629, 1475, 1630, 184, 617, 1480, 1429, 105, 78, 1205, 424, 1564, 1686, 932, 1612, 1321, 1003, 1156, 1288, 1416, 78, 1546, 514, 1829, 956, 721, 1455, 386, 629, 1173, 477, 1226, 159, 1381, 841, 1092, 903, 177, 1568, 525, 1764, 1073, 425, 1644, 621, 1595, 1382, 1605, 1675, 1017, 989, 525, 1654, 860, 1435, 579, 1339, 1323, 1037, 754, 967, 1793, 1421, 870, 1289, 1496, 583, 731, 197, 1585, 1588, 1655, 1633, 392, 647, 677, 302, 392, 787, 501, 983, 180, 983, 766, 940, 5, 962, 480, 1120, 1341, 646, 636, 127, 1673, 276, 1649, 415, 510, 1751, 1363, 1781, 1601, 911, 1289, 1306, 1170, 1433, 1009, 1701, 1033, 767, 751, 1589, 1343, 967, 1519, 862, 32, 561, 612, 1385, 1314, 977, 1009, 855, 1720, 1256, 1493, 1637, 662, 1480, 940, 644, 1388, 1421, 41, 158, 835, 1621, 1653, 1591, 736, 310, 1463, 175, 898, 1383, 938, 1727, 631, 1691, 1716, 944, 1356, 1004, 848, 748, 319, 197, 831, 888, 1772, 1463, 347, 1478, 1063, 1053, 1127, 48, 320, 647, 410, 1332, 828, 277, 1315, 1101, 1351, 48, 479, 1388, 1116, 347, 184, 63, 1453, 878, 1256, 126, 1243, 1707, 989, 1371, 91, 1687, 1236, 1797, 22, 627, 1104, 1746, 406, 1130, 1133, 630, 1199, 1070, 762, 693, 832, 1107, 53, 1331, 210, 1743, 576, 1769, 1444, 450, 1686, 1234, 660, 82, 234, 529, 1281, 931, 549, 1295, 1645, 1073, 1374, 848, 502, 1502, 1166, 1308, 829, 1631, 1718, 952, 909, 1526, 1331, 1194, 47, 205, 395, 1825, 1278, 102, 1008, 1175, 1424, 324, 341, 1687, 1041, 828, 1682, 309, 82, 719, 210, 1477, 93, 1155, 412, 1385, 73, 1771, 665, 389, 1818, 1732, 1827, 1476, 9, 1232, 985, 210, 1426, 446, 1265, 53, 1171, 1196, 200, 1504, 1369, 1064, 1437, 1704, 1139, 1638, 1102, 821, 116, 1248, 882, 91, 1221, 1701, 1753, 409, 117, 176, 863, 1632, 634, 1777, 1284, 1363, 1637, 231, 714, 1432, 471, 1476, 1790, 440, 1817, 1146, 1680, 1443, 296, 834, 1598, 62, 48, 1807, 428, 662, 1580, 191, 1605, 473, 917, 1794, 1408, 1280, 1651, 1715, 973, 561, 1081, 1425, 344, 37, 1741, 921, 1737, 1336, 1600, 361, 1500, 320, 1353, 1366, 1407, 1141, 599, 1306, 770, 1027, 732, 939, 929, 978, 1777, 1524, 1456, 1711, 1661, 1399, 1175, 1761, 1257, 1024, 917, 1293, 1286, 1109, 1797, 1427, 1415, 848, 1607, 1815, 1332, 1816, 1322, 1303, 1209, 1042, 1203, 221, 1498, 1219, 1425, 1297, 845, 578, 977, 1032, 1326, 603, 191, 1721, 1008, 1817, 856, 1711, 395, 1731, 1344, 959, 1462, 621, 1697, 926, 1735, 1015, 363, 949, 1021, 803, 1771, 892, 744, 519, 1340, 1387, 213, 239, 10, 231, 1432, 903, 1628, 57, 1569, 664, 1713, 9, 493, 1267, 1760, 1712, 1025, 1763, 1285, 1262, 1091, 610, 1519, 475, 1375, 107, 1118, 333, 1219, 1798, 1820, 802, 352, 1728, 407, 1102, 372, 764, 1356, 430, 1484, 1449, 328, 737, 895, 1325, 1692, 1660, 1821, 1258, 298, 1775, 308, 1743, 913, 155, 1618, 1088, 639, 1281, 1027, 129, 1470, 510, 1521, 1059, 1270, 1761, 1358, 471, 1263, 1636, 1460, 98, 1618, 615, 495, 22, 1625, 22, 416, 1375, 736, 58, 1102, 1325, 1356, 759, 201, 856, 556, 92, 1350, 286, 98, 1704, 1701, 1378, 1245, 1374, 856, 108, 443, 1819, 980, 0, 1460, 1243, 1627, 546, 269, 1783, 713, 688, 1722, 1337, 835, 1250, 703, 899, 1563, 662, 1627, 1394, 269, 731, 95, 1619, 631, 1545, 510, 1433, 863, 909, 1354, 1807, 1025, 1691, 1144, 1403, 247, 165, 219, 244, 244, 167, 244, 128011, 128001 ]
[ 128000, 128002, 3112, 279, 832, 3245, 430, 1120, 38145, 757, 922, 1461, 374, 430, 568, 596, 2751, 1521, 12466, 11815, 1618, 11, 1120, 3169, 315, 1093, 279, 2840, 13572, 11, 358, 1541, 956, 1440, 1148, 1521, 527, 32654, 2663, 11, 719, 1521, 527, 12466, 12673, 311, 264, 1633, 8987, 9501, 2547, 11, 1093, 420, 4553, 961, 1618, 374, 9501, 13, 128003, 128005, 761, 1767, 1512, 1096, 1439, 741, 794, 83, 6, 1125, 587, 137, 74, 182, 63, 184, 1270, 1347, 1280, 1579, 1304, 508, 1366, 977, 1596, 1119, 920, 1618, 647, 455, 30, 58, 774, 1345, 87, 733, 191, 848, 90, 1729, 1624, 1695, 1439, 502, 1275, 155, 1761, 1083, 198, 1615, 807, 1416, 213, 1261, 934, 104, 13, 479, 479, 1427, 1146, 1755, 1604, 592, 1766, 1366, 940, 836, 906, 780, 920, 1563, 117, 1537, 1549, 1833, 1673, 1810, 1806, 1640, 1502, 80, 1708, 369, 509, 466, 506, 1370, 787, 830, 1240, 647, 347, 1485, 996, 190, 289, 92, 158, 1755, 305, 47, 1574, 315, 1460, 1724, 1766, 1024, 520, 1640, 645, 1308, 688, 619, 524, 1409, 769, 326, 999, 952, 1708, 1777, 150, 1654, 1200, 1126, 179, 53, 592, 173, 1457, 25, 1731, 179, 1443, 107, 1168, 969, 1249, 1364, 983, 1431, 943, 1241, 125, 1828, 1061, 506, 781, 1563, 480, 1290, 29, 965, 1024, 376, 738, 26, 508, 1387, 33, 416, 176, 1389, 1195, 320, 352, 1401, 980, 560, 102, 1726, 990, 1005, 293, 126, 713, 298, 890, 154, 368, 1391, 868, 580, 195, 901, 874, 300, 552, 1365, 1685, 1680, 1316, 1496, 1793, 454, 1001, 1460, 33, 1831, 1166, 183, 945, 1376, 213, 1521, 749, 1600, 1830, 1567, 1760, 1592, 1703, 1790, 782, 1517, 1642, 1638, 1760, 1758, 955, 552, 1332, 956, 402, 466, 549, 210, 1212, 299, 474, 759, 1263, 1335, 1247, 1401, 231, 687, 1166, 295, 848, 863, 320, 333, 713, 1364, 1203, 809, 376, 52, 1680, 349, 202, 1733, 1025, 1091, 1596, 1018, 181, 1300, 1, 510, 1364, 202, 328, 1091, 1261, 221, 191, 736, 1460, 1676, 1753, 1604, 1504, 1677, 1361, 1746, 1039, 1799, 1359, 1360, 1210, 222, 843, 1669, 1162, 200, 268, 893, 1226, 1032, 1206, 47, 1564, 1468, 1449, 895, 452, 416, 50, 67, 546, 315, 117, 919, 1247, 1517, 202, 688, 884, 774, 519, 47, 728, 1325, 52, 1185, 93, 1770, 1241, 647, 495, 0, 850, 627, 1517, 470, 1120, 1776, 1118, 231, 1705, 1164, 1364, 1118, 1175, 1777, 1128, 1034, 1033, 1164, 117, 751, 989, 1770, 869, 1074, 971, 837, 1797, 396, 1120, 655, 199, 666, 169, 1262, 1242, 612, 1039, 1380, 1636, 1815, 794, 1463, 50, 407, 1552, 46, 882, 911, 362, 1121, 1074, 1089, 777, 1331, 1101, 102, 1620, 886, 1384, 741, 1506, 1053, 545, 878, 550, 1013, 1450, 623, 1543, 127, 1248, 1325, 294, 1145, 446, 898, 440, 116, 1495, 375, 662, 28, 815, 470, 1108, 693, 1589, 362, 1209, 1160, 248, 485, 787, 845, 1496, 90, 772, 1815, 1199, 1699, 1200, 1339, 1445, 1148, 1335, 1247, 660, 1318, 977, 51, 441, 1227, 797, 146, 1216, 907, 2, 1289, 179, 685, 260, 1327, 200, 680, 790, 1158, 18, 503, 846, 682, 1076, 230, 425, 821, 123, 1508, 129, 428, 4, 725, 1042, 1738, 944, 621, 1682, 868, 1517, 1001, 1029, 1058, 1272, 1303, 757, 1745, 996, 1392, 1776, 1256, 830, 376, 1570, 787, 1694, 798, 1306, 809, 1677, 813, 1700, 853, 361, 490, 621, 1080, 807, 1444, 470, 326, 785, 497, 1777, 910, 234, 1348, 987, 1746, 250, 229, 1154, 40, 1123, 984, 470, 1699, 984, 1096, 325, 516, 1114, 633, 484, 16, 1474, 1631, 533, 965, 1654, 1485, 1239, 700, 851, 730, 1039, 184, 344, 1753, 1221, 1699, 1001, 1649, 1285, 474, 1244, 1388, 1519, 150, 223, 1668, 1704, 213, 230, 1665, 1447, 977, 790, 339, 267, 560, 596, 1119, 1661, 1243, 1099, 1476, 1816, 1647, 949, 520, 1732, 528, 552, 1725, 1737, 134, 1205, 1713, 1478, 1701, 1793, 871, 1028, 105, 1346, 399, 853, 1091, 859, 792, 1687, 1824, 1098, 1743, 1347, 1245, 1111, 1521, 991, 112, 1144, 660, 367, 1123, 294, 376, 1448, 657, 969, 60, 363, 1172, 307, 247, 1429, 1260, 39, 1749, 433, 1383, 807, 1433, 971, 80, 1128, 1593, 1632, 26, 1330, 1558, 1503, 1388, 1439, 103, 1656, 876, 52, 1387, 4, 483, 1494, 375, 1443, 518, 128, 488, 1339, 0, 1490, 1553, 1647, 1163, 1638, 1166, 1818, 1549, 1739, 1487, 552, 569, 1310, 309, 159, 1002, 115, 1258, 300, 699, 581, 115, 1047, 931, 1416, 1057, 1221, 890, 592, 320, 1436, 848, 1528, 333, 1647, 1174, 320, 29, 74, 153, 1218, 773, 1426, 385, 1583, 1750, 1154, 1230, 149, 1146, 1638, 1806, 858, 1779, 1130, 117, 1648, 1160, 1737, 1705, 1411, 1033, 1739, 929, 250, 168, 826, 1232, 1073, 173, 1690, 400, 644, 1687, 1727, 1833, 592, 230, 1476, 863, 1279, 1180, 1055, 1496, 1143, 159, 849, 339, 1132, 138, 1434, 221, 1342, 997, 1175, 775, 1530, 1459, 1783, 1403, 276, 1476, 67, 822, 1476, 276, 1573, 719, 780, 1405, 1212, 1766, 205, 629, 1669, 1685, 462, 1025, 440, 411, 103, 829, 812, 374, 1760, 356, 835, 1270, 1690, 1811, 1027, 1676, 1744, 884, 1683, 1074, 518, 1340, 440, 1149, 270, 320, 953, 152, 1394, 988, 135, 738, 127, 189, 1698, 269, 243, 495, 719, 570, 1047, 1604, 993, 1449, 1744, 239, 1199, 1400, 1397, 1481, 1400, 173, 1156, 383, 115, 887, 308, 115, 997, 687, 326, 1451, 1755, 1625, 989, 725, 626, 333, 689, 510, 217, 1659, 817, 230, 488, 1757, 701, 944, 520, 22, 1800, 1399, 1667, 1339, 42, 1128, 814, 1565, 1033, 1426, 1249, 713, 935, 823, 1058, 1273, 1374, 935, 901, 997, 973, 637, 1162, 107, 901, 477, 1337, 617, 1608, 427, 1565, 492, 1737, 721, 127, 1213, 102, 548, 835, 1152, 1223, 988, 680, 624, 1725, 286, 173, 1127, 446, 1307, 212, 441, 1209, 303, 76, 1438, 660, 76, 1328, 53, 138, 1223, 853, 110, 1525, 1816, 412, 1573, 1581, 155, 1642, 1189, 234, 1658, 1046, 113, 1739, 977, 192, 701, 1087, 202, 831, 1476, 1765, 150, 1675, 77, 516, 1238, 1193, 1097, 890, 125, 153, 455, 1463, 28, 239, 328, 195, 319, 50, 714, 1519, 1283, 1788, 1528, 1547, 1668, 911, 1691, 1668, 1082, 1668, 1059, 493, 1705, 1175, 1500, 1279, 454, 1809, 1476, 788, 1079, 1528, 1495, 1487, 1290, 1152, 442, 207, 879, 1583, 816, 1018, 1155, 34, 203, 702, 736, 623, 1768, 1766, 804, 1703, 1296, 782, 67, 1391, 1126, 1171, 1298, 790, 1412, 1320, 1018, 1208, 777, 1220, 573, 159, 1237, 711, 82, 367, 848, 1194, 1183, 510, 1087, 320, 536, 1174, 320, 1014, 452, 55, 1280, 51, 653, 1292, 1389, 355, 1325, 921, 199, 1830, 1541, 882, 1410, 1827, 1027, 1714, 1823, 1191, 1253, 944, 159, 1493, 1313, 614, 690, 1099, 1350, 214, 1622, 1094, 1069, 810, 1410, 1554, 1619, 1241, 1807, 333, 1034, 1317, 1250, 1002, 617, 677, 483, 728, 919, 439, 649, 376, 27, 868, 1808, 853, 1565, 1467, 1181, 546, 1680, 1189, 759, 881, 388, 801, 812, 73, 1621, 714, 647, 713, 536, 1609, 286, 473, 50, 298, 1524, 183, 1647, 1777, 1602, 1749, 495, 1741, 1526, 823, 1409, 1652, 1308, 1016, 662, 930, 1444, 1661, 118, 184, 981, 386, 1402, 349, 552, 870, 589, 1337, 386, 725, 55, 1641, 1697, 1433, 1651, 1055, 289, 693, 102, 1416, 149, 443, 1004, 1193, 684, 1726, 1112, 355, 1106, 470, 1076, 1491, 31, 1454, 259, 523, 1059, 1211, 167, 165, 244, 453, 244, 167, 128011, 128001 ]
[ 128000, 128002, 2675, 1440, 11, 499, 1436, 1120, 1518, 279, 12466, 961, 374, 420, 1234, 52547, 1314, 1618, 430, 34161, 311, 1521, 2840, 13572, 11, 12929, 653, 3022, 13, 128003, 128005, 1632, 396, 852, 523, 136, 496, 566, 566, 423, 963, 1829, 1316, 297, 1383, 1490, 1710, 1689, 775, 899, 1136, 117, 1372, 756, 1795, 1280, 931, 1705, 836, 368, 1301, 983, 968, 1326, 546, 1006, 1374, 351, 1069, 881, 363, 1284, 34, 1149, 1797, 1018, 506, 884, 481, 1092, 1428, 272, 1713, 634, 1760, 198, 1451, 546, 18, 1295, 1146, 657, 1684, 882, 1723, 198, 104, 634, 129, 0, 26, 213, 1519, 62, 117, 1466, 18, 1081, 778, 969, 867, 969, 778, 1069, 533, 1267, 1061, 1026, 1552, 1635, 1807, 820, 792, 820, 1121, 174, 685, 1133, 785, 1355, 470, 1214, 42, 199, 1028, 470, 651, 692, 1092, 343, 265, 651, 692, 337, 534, 1466, 1055, 1156, 1158, 177, 242, 594, 630, 1821, 1485, 1217, 1747, 1666, 1264, 475, 576, 1036, 115, 1308, 324, 937, 604, 82, 1337, 374, 333, 794, 348, 714, 428, 1329, 213, 0, 1129, 454, 158, 1737, 1552, 1676, 1687, 1643, 1121, 1524, 1404, 1211, 675, 1305, 82, 1138, 1403, 897, 550, 1819, 1140, 1310, 529, 444, 1751, 1738, 1357, 881, 1127, 1222, 4, 1682, 1415, 319, 1427, 86, 725, 781, 1369, 1460, 1623, 1296, 448, 319, 1363, 230, 1306, 202, 1412, 1496, 176, 1405, 1354, 1592, 866, 101, 995, 704, 436, 121, 704, 1338, 624, 16, 513, 406, 1284, 1291, 1637, 303, 368, 994, 1451, 1733, 906, 33, 1400, 1376, 1549, 1738, 1532, 1711, 1404, 1567, 1536, 1428, 1517, 1307, 1477, 1435, 1494, 721, 1752, 1332, 536, 1640, 1379, 1778, 182, 317, 325, 1527, 834, 1490, 990, 657, 1219, 884, 439, 866, 1394, 706, 231, 503, 1168, 876, 1279, 1447, 444, 1707, 1806, 594, 1305, 1572, 978, 1721, 381, 1181, 1273, 845, 659, 696, 523, 450, 351, 624, 257, 603, 641, 544, 624, 257, 509, 936, 686, 445, 673, 257, 717, 599, 1519, 1770, 554, 772, 1391, 711, 105, 1546, 1041, 1095, 697, 92, 563, 847, 983, 331, 474, 1146, 1218, 376, 144, 303, 852, 1339, 1761, 176, 1732, 328, 1549, 1675, 1638, 998, 1735, 225, 1647, 1690, 660, 1701, 1100, 192, 762, 1280, 1078, 91, 1335, 1568, 1757, 1637, 485, 1739, 1833, 512, 807, 1387, 987, 882, 1373, 937, 1290, 1149, 1677, 1670, 988, 1073, 671, 729, 996, 1779, 35, 1260, 707, 66, 918, 732, 163, 1809, 174, 1010, 1292, 229, 1146, 1428, 1121, 1139, 513, 1432, 1379, 693, 1214, 1199, 563, 1024, 470, 869, 1211, 163, 1128, 523, 486, 281, 555, 799, 16, 601, 641, 762, 624, 504, 601, 555, 417, 674, 1144, 696, 1438, 0, 1265, 1042, 714, 997, 756, 1434, 386, 388, 1367, 628, 346, 1652, 876, 1410, 1239, 1328, 1760, 971, 1247, 1, 1481, 1535, 1517, 1714, 926, 821, 191, 1689, 1470, 1501, 1005, 1429, 552, 1175, 955, 324, 1130, 1488, 1073, 1695, 1629, 788, 1382, 943, 213, 1125, 18, 782, 1496, 176, 1305, 1528, 176, 1665, 18, 1057, 1099, 1448, 1160, 662, 714, 265, 860, 1436, 131, 1326, 333, 1699, 1373, 388, 677, 1534, 320, 1642, 1629, 848, 788, 1071, 286, 183, 1248, 1680, 1217, 1789, 1185, 183, 368, 22, 198, 1638, 1283, 863, 1230, 1283, 1370, 640, 202, 1292, 26, 1287, 1822, 554, 1589, 896, 34, 620, 1557, 1176, 401, 1523, 1262, 16, 694, 566, 417, 487, 680, 1145, 799, 513, 16, 751, 561, 465, 513, 465, 1007, 680, 704, 513, 1652, 641, 301, 1823, 1770, 1720, 1815, 1511, 828, 1625, 1023, 184, 1684, 1100, 158, 1076, 248, 1086, 1204, 942, 809, 254, 306, 1475, 81, 1297, 57, 725, 1471, 687, 904, 636, 814, 666, 1127, 698, 881, 856, 747, 914, 716, 66, 881, 629, 1765, 1217, 1662, 1283, 863, 1660, 848, 1691, 1751, 1660, 1360, 1746, 1774, 1458, 1685, 1189, 1045, 1687, 373, 1469, 1777, 588, 1668, 1353, 653, 1432, 688, 1321, 1492, 444, 1250, 302, 1598, 1375, 703, 1812, 1769, 1727, 1211, 1360, 1148, 1494, 462, 1425, 1524, 390, 1767, 1521, 373, 1655, 1827, 629, 1791, 1545, 1732, 1741, 1754, 1651, 1524, 1500, 1002, 964, 165, 156, 244, 244, 167, 128011, 128001 ]
[ 128000, 128002, 3112, 1243, 420, 374, 12466, 1070, 11, 719, 420, 4459, 961, 1618, 374, 9501, 11, 14224, 539, 279, 11, 499, 1440, 11, 436, 57229, 477, 128003, 128005, 351, 199, 1414, 1117, 1063, 1351, 1147, 710, 1237, 1528, 1401, 1439, 1706, 755, 1832, 1186, 1496, 127, 1312, 781, 1607, 1345, 442, 1353, 319, 1830, 892, 1325, 1684, 945, 333, 1700, 26, 592, 1175, 213, 493, 154, 6, 1500, 416, 1426, 1812, 1660, 1420, 1441, 546, 1807, 1603, 1255, 1007, 1570, 1322, 1600, 1328, 1771, 632, 1490, 1426, 1232, 79, 1125, 1328, 1136, 719, 1341, 1808, 1470, 362, 124, 546, 1370, 344, 1434, 809, 701, 191, 1752, 920, 1315, 1573, 1564, 1821, 1164, 708, 1018, 475, 1535, 847, 1063, 901, 529, 1109, 658, 1453, 110, 1348, 40, 1043, 1738, 1301, 1367, 708, 479, 1598, 508, 1255, 921, 149, 1305, 883, 995, 1379, 1458, 1457, 424, 1565, 1241, 125, 688, 1349, 1117, 483, 856, 1580, 592, 931, 4, 631, 1355, 202, 1212, 788, 767, 838, 1283, 1687, 1385, 1183, 988, 1703, 926, 1673, 1230, 1792, 1565, 1168, 1108, 1661, 699, 1019, 1803, 1207, 143, 1368, 55, 289, 1218, 910, 1452, 1217, 622, 280, 500, 1431, 1048, 1248, 1158, 250, 1825, 1002, 58, 1751, 991, 887, 295, 1183, 1184, 609, 688, 774, 63, 770, 1009, 19, 1736, 1342, 191, 1460, 249, 268, 1462, 1091, 1165, 52, 341, 831, 750, 95, 1531, 276, 1240, 1363, 1166, 1750, 1774, 1360, 1310, 317, 867, 877, 1601, 339, 839, 1031, 294, 577, 1232, 614, 1404, 39, 1284, 828, 1532, 492, 1734, 475, 473, 1102, 508, 1169, 783, 1015, 576, 1358, 1165, 107, 1113, 1222, 860, 880, 412, 1126, 525, 1466, 1093, 1022, 445, 965, 1121, 577, 734, 384, 32, 756, 1695, 1004, 448, 725, 231, 129, 1375, 1283, 1078, 1675, 1485, 828, 1287, 1607, 1286, 625, 961, 1528, 1449, 1332, 1189, 1245, 1393, 53, 1795, 408, 1147, 1043, 83, 944, 1352, 1662, 1739, 250, 1043, 1106, 470, 1421, 967, 1665, 1642, 1192, 1600, 1511, 30, 1039, 1596, 1470, 899, 92, 865, 1799, 1004, 867, 1598, 1672, 724, 470, 852, 405, 331, 1057, 832, 1104, 1404, 1003, 1175, 1504, 1495, 1370, 513, 1329, 1306, 1003, 1175, 1185, 1322, 1411, 301, 1329, 1738, 516, 999, 971, 1699, 1495, 1070, 866, 676, 971, 450, 680, 486, 851, 513, 696, 1680, 1654, 1389, 1693, 1221, 1225, 1541, 1056, 495, 1816, 868, 1658, 1501, 1308, 1425, 1304, 969, 1553, 1210, 864, 1553, 875, 1389, 1740, 1467, 1541, 169, 163, 655, 1189, 1288, 932, 1419, 807, 336, 1052, 241, 425, 624, 764, 238, 1624, 82, 1742, 560, 1107, 74, 1536, 705, 861, 940, 1150, 201, 813, 448, 545, 344, 291, 895, 116, 1668, 234, 1076, 759, 1060, 989, 616, 1749, 1409, 1355, 1022, 1093, 1458, 1352, 586, 1338, 963, 1392, 594, 1068, 169, 326, 1480, 1083, 1684, 998, 1449, 893, 621, 1023, 497, 1779, 972, 1431, 406, 477, 1705, 1219, 753, 1831, 457, 1042, 1421, 734, 1495, 612, 165, 219, 244, 244, 167, 244, 128011, 128001 ]
[ 128000, 128002, 2675, 1440, 1148, 358, 2846, 5605, 11, 433, 596, 264, 5128, 8987, 1841, 13, 1283, 574, 2133, 311, 387, 279, 400, 2002, 79524, 42819, 13, 128003, 128005, 313, 378, 1453, 1134, 721, 1085, 184, 1176, 774, 1461, 565, 1637, 695, 1583, 783, 1766, 1281, 1326, 845, 55, 1648, 839, 1645, 1484, 297, 719, 1487, 110, 1716, 1356, 1005, 1584, 787, 1565, 1444, 1004, 1689, 1753, 315, 1002, 440, 46, 1139, 50, 1287, 1129, 1200, 556, 783, 117, 1073, 1424, 592, 1247, 1663, 549, 1195, 1332, 714, 1353, 1332, 1651, 816, 631, 783, 1632, 1521, 1591, 1734, 906, 863, 14, 315, 997, 9, 295, 890, 1408, 1521, 1729, 1279, 1728, 1628, 1110, 943, 1680, 1411, 1215, 1495, 1677, 1102, 966, 90, 128, 1698, 90, 1342, 372, 1219, 361, 189, 1018, 1488, 132, 234, 1827, 980, 1029, 48, 1654, 349, 1593, 1166, 1276, 1680, 1139, 1324, 1229, 1434, 498, 210, 1036, 179, 708, 375, 798, 1364, 742, 1120, 1680, 1752, 658, 1388, 356, 1740, 293, 1343, 29, 990, 1787, 939, 1556, 1504, 827, 1221, 1747, 1682, 1232, 1298, 569, 1267, 1329, 390, 1736, 569, 1158, 422, 1124, 142, 1505, 474, 700, 1000, 609, 1509, 1077, 1217, 738, 886, 1439, 1485, 1534, 10, 703, 865, 395, 752, 1626, 557, 850, 1667, 1330, 395, 184, 1312, 863, 116, 1463, 940, 1372, 154, 384, 1441, 67, 1470, 1770, 1511, 1119, 940, 920, 217, 787, 1323, 878, 940, 703, 758, 1451, 184, 662, 685, 1047, 196, 1699, 177, 781, 1645, 1146, 648, 831, 778, 714, 783, 1009, 1340, 830, 636, 1612, 1799, 821, 934, 778, 836, 1527, 127, 154, 1787, 714, 1652, 483, 888, 1136, 1024, 1335, 344, 363, 1635, 724, 706, 207, 693, 86, 1523, 338, 1288, 659, 693, 450, 555, 765, 1242, 641, 1711, 631, 1661, 454, 1820, 1279, 1088, 1324, 1135, 270, 95, 328, 110, 1534, 1104, 1718, 143, 317, 1390, 546, 126, 1721, 791, 210, 774, 595, 115, 1455, 186, 291, 1524, 106, 1149, 768, 610, 74, 1630, 560, 1055, 631, 536, 1027, 269, 452, 1396, 1776, 1680, 1025, 736, 132, 1423, 1817, 221, 1719, 1047, 1502, 1453, 682, 1233, 1727, 1341, 727, 326, 1285, 571, 411, 0, 159, 1829, 25, 959, 609, 1314, 1323, 1320, 1340, 1410, 104, 230, 714, 549, 714, 18, 1513, 1649, 1698, 1634, 361, 1696, 774, 1417, 1399, 545, 1437, 1237, 1100, 931, 644, 1240, 972, 1325, 545, 944, 532, 1160, 1326, 521, 1279, 997, 581, 1417, 1308, 1160, 1640, 1272, 1284, 770, 885, 1075, 99, 707, 1109, 438, 453, 165, 244, 219, 453, 167, 244, 128011, 128001 ]
[ 128000, 128002, 3112, 568, 11, 499, 1440, 11, 45547, 398, 11, 499, 1440, 11, 1288, 617, 1027, 430, 11, 779, 11, 539, 42126, 1070, 13, 128003, 128005, 288, 229, 1418, 1462, 1141, 999, 855, 344, 983, 1667, 560, 1832, 903, 1570, 203, 1528, 1416, 1644, 1332, 1673, 749, 1369, 619, 700, 1612, 554, 856, 1514, 1673, 1406, 1338, 1514, 1062, 740, 572, 734, 925, 1288, 91, 542, 331, 832, 1570, 396, 669, 686, 1293, 428, 1637, 1340, 1006, 608, 203, 1768, 1057, 55, 1458, 1078, 1339, 1400, 946, 1687, 90, 659, 1774, 1709, 176, 1638, 1280, 1672, 687, 1712, 4, 1240, 1547, 1217, 1448, 1027, 443, 877, 870, 58, 1208, 1588, 1304, 295, 268, 91, 1225, 753, 843, 1225, 1002, 557, 1514, 1700, 160, 1687, 1709, 1735, 992, 608, 321, 1764, 6, 1243, 26, 1674, 1287, 1469, 1581, 766, 684, 584, 1668, 792, 852, 1277, 957, 1568, 1294, 1786, 1536, 939, 1383, 691, 1736, 1822, 1590, 1657, 1469, 1555, 666, 1762, 1257, 888, 1711, 1336, 865, 1353, 1510, 1457, 1781, 679, 1034, 1381, 1399, 1754, 1156, 1492, 1767, 949, 1668, 850, 1788, 1776, 810, 866, 1076, 936, 701, 1771, 1450, 485, 1758, 1, 1375, 1524, 778, 1494, 829, 1638, 1476, 520, 1446, 990, 629, 1724, 408, 1408, 1542, 987, 1465, 772, 987, 1601, 1628, 1780, 1073, 977, 886, 550, 1300, 1241, 828, 1088, 1686, 678, 1621, 95, 1214, 1444, 1310, 763, 940, 1360, 1048, 838, 1156, 476, 0, 744, 1452, 710, 900, 1815, 1089, 1077, 1668, 997, 759, 1223, 1487, 324, 1447, 1347, 847, 1399, 1647, 725, 1047, 1395, 1732, 1472, 1738, 1655, 1754, 416, 1238, 231, 298, 1146, 448, 485, 1451, 1366, 1477, 1823, 1732, 1260, 1556, 907, 1356, 1510, 9, 1686, 1806, 855, 1704, 1449, 1454, 1801, 1695, 615, 1360, 845, 638, 717, 717, 1285, 345, 516, 555, 423, 486, 975, 345, 572, 975, 334, 487, 504, 651, 496, 287, 673, 504, 169, 151, 417, 486, 274, 509, 680, 16, 334, 1246, 561, 624, 257, 567, 680, 625, 762, 680, 1242, 627, 1242, 544, 516, 766, 447, 513, 704, 624, 710, 1151, 601, 692, 509, 486, 851, 168, 566, 1242, 490, 696, 544, 469, 692, 1541, 1103, 1546, 1463, 1524, 966, 1683, 1180, 1318, 1427, 1241, 1746, 1281, 1036, 1530, 1408, 1456, 1137, 1170, 1361, 832, 1028, 580, 975, 1422, 530, 1766, 638, 702, 1763, 1595, 368, 1495, 977, 1285, 1110, 898, 1403, 1373, 1237, 1021, 1030, 1637, 1708, 1221, 572, 907, 1215, 1494, 1407, 136, 1221, 1470, 381, 1280, 1688, 1381, 1004, 58, 1136, 1568, 408, 1649, 1192, 483, 1421, 412, 1395, 982, 1005, 1468, 1109, 1134, 1426, 216, 751, 1367, 66, 869, 921, 470, 1303, 603, 139, 156, 244, 244, 128011, 128001 ]
[ 128000, 128002, 4071, 433, 596, 539, 24937, 323, 358, 2846, 539, 2771, 422, 430, 596, 1268, 814, 10825, 433, 311, 387, 477, 433, 596, 1193, 1606, 420, 374, 1093, 3169, 315, 264, 25018, 13, 1472, 1440, 11, 1120, 311, 312, 42612, 11, 499, 1440, 11, 505, 1063, 315, 856, 3766, 6946, 11, 682, 34546, 9515, 527, 49188, 47728, 11, 719, 539, 682, 47728, 527, 34546, 9515, 13, 1472, 649, 617, 264, 25018, 369, 34944, 4584, 53106, 13, 34944, 4584, 53106, 374, 539, 34546, 13, 128003, 128005, 313, 651, 1731, 841, 1150, 362, 569, 47, 1801, 179, 1583, 1263, 1542, 1668, 1189, 1120, 1494, 1517, 1766, 1456, 13, 1176, 1382, 1816, 867, 1549, 1337, 1283, 863, 546, 1296, 1280, 1677, 13, 1663, 595, 705, 1492, 560, 1086, 1686, 186, 1674, 1498, 1813, 1666, 1264, 1793, 1065, 1705, 1185, 1310, 1036, 1630, 895, 1116, 1815, 1411, 1086, 18, 621, 1580, 1160, 98, 990, 789, 1413, 1439, 583, 1585, 1729, 1772, 541, 154, 1313, 595, 105, 1503, 943, 1107, 328, 1086, 1332, 213, 1237, 1783, 22, 1736, 938, 1417, 548, 1752, 908, 1244, 1714, 971, 821, 1483, 838, 1170, 1277, 837, 1481, 548, 785, 670, 744, 423, 378, 762, 686, 1758, 901, 547, 836, 1127, 347, 466, 1261, 716, 980, 532, 325, 665, 662, 1519, 474, 41, 985, 621, 1690, 604, 408, 1073, 1651, 361, 1433, 1476, 1492, 430, 454, 1410, 356, 636, 1324, 1220, 1366, 341, 1814, 863, 972, 1476, 695, 1826, 1485, 1584, 1677, 1626, 1707, 1287, 955, 1487, 364, 1192, 943, 173, 983, 1160, 660, 1400, 1350, 1800, 428, 510, 886, 230, 1355, 1766, 1125, 589, 1368, 979, 386, 774, 1498, 609, 1509, 682, 1644, 1656, 1002, 757, 1027, 1690, 1042, 335, 1382, 1755, 844, 1210, 1139, 1624, 775, 866, 1013, 1287, 1740, 861, 1654, 22, 430, 46, 1434, 1329, 1117, 1489, 1125, 9, 656, 113, 397, 1546, 1743, 1317, 368, 836, 1698, 1217, 787, 870, 1337, 1423, 648, 63, 1409, 1639, 1759, 1381, 1781, 1615, 1451, 198, 870, 507, 154, 1156, 1437, 1230, 1685, 1604, 1472, 1039, 895, 738, 639, 1435, 323, 1407, 1384, 33, 1270, 700, 939, 6, 1662, 91, 1573, 1121, 229, 896, 1133, 287, 1121, 163, 459, 1311, 278, 1216, 905, 459, 1391, 136, 1154, 1157, 727, 121, 859, 406, 509, 601, 1038, 1636, 545, 1405, 860, 994, 782, 55, 1091, 614, 744, 1766, 1537, 640, 315, 1024, 1470, 1147, 730, 1719, 874, 917, 1535, 825, 1637, 1022, 1648, 123, 1719, 1136, 1478, 665, 1541, 335, 898, 1513, 1785, 363, 1400, 1238, 1397, 333, 1277, 1397, 956, 644, 1035, 644, 1627, 428, 519, 230, 1441, 416, 399, 1431, 1817, 664, 1652, 521, 1524, 1607, 448, 295, 1175, 213, 493, 1270, 1287, 1206, 1801, 1439, 1350, 1552, 183, 416, 1678, 1704, 809, 1205, 497, 1758, 1103, 113, 1214, 1138, 388, 1722, 1084, 1043, 1260, 229, 1064, 470, 891, 1027, 1429, 512, 1788, 1475, 1125, 147, 783, 947, 179, 949, 1310, 825, 872, 1156, 777, 1720, 856, 1496, 932, 1819, 1040, 1083, 1806, 732, 437, 661, 963, 470, 957, 1799, 1241, 1649, 1704, 1057, 1037, 1199, 475, 963, 1342, 354, 1642, 632, 1015, 406, 367, 895, 1304, 234, 322, 184, 1104, 628, 1494, 893, 191, 1721, 42, 1573, 631, 701, 409, 1429, 723, 1275, 347, 294, 1678, 1116, 386, 636, 545, 1385, 979, 1022, 1445, 1430, 932, 651, 1316, 531, 1028, 1489, 1289, 1375, 1799, 1448, 640, 1211, 1175, 1568, 1037, 767, 1707, 1292, 911, 1705, 767, 1637, 1754, 454, 1385, 1665, 781, 1071, 785, 526, 223, 435, 1277, 1829, 1436, 621, 1228, 944, 917, 849, 532, 1628, 117, 662, 654, 319, 22, 400, 1308, 376, 182, 29, 10, 181, 1018, 46, 687, 788, 298, 1687, 802, 1395, 1256, 102, 1369, 849, 13, 1336, 1710, 1515, 1754, 1537, 1128, 557, 986, 372, 593, 533, 756, 1605, 154, 614, 1354, 277, 1731, 277, 1155, 52, 702, 1630, 743, 657, 649, 695, 603, 9, 1703, 557, 1067, 577, 807, 980, 520, 1517, 398, 1457, 682, 1674, 750, 1452, 1698, 485, 1453, 967, 672, 80, 672, 548, 1070, 896, 338, 1471, 1373, 842, 1047, 1756, 943, 1392, 1178, 1426, 1087, 1355, 1453, 1350, 1535, 1685, 1436, 176, 1665, 719, 1475, 777, 1092, 1351, 78, 973, 585, 1263, 1215, 1444, 1708, 144, 1812, 1824, 1408, 1568, 202, 0, 14, 1370, 1317, 1089, 1298, 903, 217, 1782, 1082, 703, 938, 787, 1655, 847, 1380, 973, 1724, 621, 1414, 560, 1361, 408, 1104, 617, 1771, 1745, 437, 869, 1459, 1738, 1476, 1499, 794, 120, 372, 243, 150, 769, 270, 761, 162, 1709, 1068, 263, 882, 1087, 1400, 782, 1374, 122, 243, 1217, 69, 1310, 1091, 870, 1733, 1500, 822, 433, 1281, 605, 1470, 615, 1792, 1024, 1774, 69, 289, 529, 63, 626, 1, 1328, 797, 30, 41, 388, 1340, 1729, 213, 254, 485, 882, 1815, 0, 1710, 1754, 1436, 1788, 1404, 1412, 1819, 1393, 1795, 1754, 719, 1652, 924, 1735, 266, 1181, 405, 316, 986, 936, 1092, 567, 555, 1765, 712, 967, 1022, 1119, 1141, 321, 260, 1350, 1197, 991, 293, 892, 248, 234, 497, 83, 806, 777, 123, 9, 132, 844, 708, 55, 51, 1420, 1218, 182, 1158, 200, 1526, 1365, 1766, 1506, 727, 1227, 1821, 1241, 599, 1466, 631, 1098, 1687, 911, 1731, 1217, 907, 834, 315, 239, 609, 298, 1318, 931, 1340, 1229, 794, 969, 1019, 1751, 1636, 1549, 46, 510, 1283, 882, 1086, 1542, 1264, 1827, 1624, 1516, 1593, 1667, 1646, 1530, 1693, 1782, 800, 430, 1705, 1735, 1135, 569, 200, 996, 1177, 461, 88, 1502, 773, 173, 74, 913, 1177, 948, 93, 500, 1048, 1012, 886, 125, 1594, 863, 577, 18, 122, 1649, 1195, 1127, 1186, 248, 1439, 868, 1102, 1125, 1156, 809, 983, 1691, 910, 19, 407, 269, 1699, 901, 748, 1637, 1452, 1759, 1088, 1761, 1823, 911, 1462, 1221, 1126, 517, 83, 1460, 780, 876, 499, 376, 1083, 872, 1247, 395, 725, 1463, 19, 1698, 1464, 1682, 1761, 1245, 1801, 870, 825, 398, 959, 930, 1138, 850, 649, 353, 555, 523, 174, 377, 1827, 400, 736, 1205, 1091, 1686, 690, 916, 157, 195, 520, 811, 128, 100, 1109, 348, 87, 1461, 138, 959, 195, 192, 1641, 212, 1541, 191, 473, 1456, 1035, 67, 1018, 10, 1400, 977, 1399, 179, 949, 190, 1196, 277, 138, 67, 1257, 100, 1473, 1794, 1772, 1071, 1370, 407, 1342, 189, 452, 788, 230, 1809, 1057, 1660, 1279, 1175, 1632, 902, 1175, 1108, 1074, 1646, 924, 822, 1760, 1230, 117, 1668, 1329, 1677, 1668, 1225, 1408, 1114, 666, 169, 423, 1338, 1489, 741, 105, 1568, 822, 536, 1725, 1665, 1708, 92, 515, 1488, 535, 552, 479, 386, 903, 300, 880, 270, 364, 521, 236, 252, 1526, 1053, 552, 1810, 1078, 1089, 1331, 1708, 1033, 1511, 1277, 1245, 1159, 1289, 632, 267, 1369, 1429, 390, 972, 1423, 424, 462, 1799, 1183, 341, 1696, 653, 921, 1051, 449, 1311, 1419, 1683, 901, 1565, 1738, 1797, 1207, 1107, 931, 158, 234, 635, 938, 1031, 158, 503, 686, 1074, 557, 909, 1393, 1172, 79, 539, 1703, 1420, 646, 516, 1813, 1790, 448, 399, 1631, 1261, 1119, 1325, 958, 102, 1756, 400, 632, 546, 388, 926, 1094, 532, 1386, 1718, 1757, 328, 1018, 1436, 122, 1139, 1091, 1470, 1611, 639, 1678, 1803, 1700, 1232, 1404, 622, 1781, 660, 1511, 1332, 1044, 1098, 95, 5, 1113, 530, 1137, 879, 638, 1403, 581, 1714, 863, 1459, 1677, 1061, 1108, 1166, 1135, 969, 213, 1263, 1332, 700, 1100, 755, 1426, 1483, 1485, 952, 1619, 631, 1296, 1283, 901, 1264, 1470, 657, 1673, 1351, 1540, 1718, 1782, 939, 1720, 1193, 1355, 1436, 1277, 1420, 1203, 291, 1788, 991, 864, 915, 53, 637, 1780, 1189, 1426, 1252, 1203, 1434, 992, 1700, 1812, 1317, 1331, 1732, 1376, 882, 895, 1217, 1777, 1699, 1535, 1705, 1329, 1798, 1799, 1175, 1721, 1714, 1476, 964, 927, 1701, 1704, 927, 899, 1495, 1225, 832, 672, 772, 490, 281, 54, 601, 584, 1819, 779, 817, 1620, 733, 1451, 134, 1701, 1422, 1059, 39, 1737, 471, 748, 1450, 1341, 1781, 1029, 887, 239, 872, 402, 102, 1410, 604, 210, 1401, 1164, 836, 109, 1211, 1212, 248, 481, 1432, 317, 624, 1172, 353, 523, 1822, 1517, 471, 1722, 1230, 1435, 1265, 783, 148, 39, 1398, 1443, 388, 9, 1272, 1345, 1087, 22, 755, 1520, 1457, 395, 836, 182, 720, 696, 1720, 1732, 6, 129, 1777, 1253, 441, 614, 714, 1122, 1135, 67, 552, 714, 787, 687, 407, 1384, 1214, 1281, 1787, 1238, 1710, 1175, 1726, 1202, 1332, 1317, 1340, 182, 688, 1236, 1735, 1330, 856, 123, 411, 903, 595, 880, 69, 388, 1030, 178, 1438, 320, 249, 515, 1819, 19, 1333, 510, 688, 1722, 854, 217, 564, 1116, 1256, 742, 1375, 1540, 27, 1492, 1683, 1738, 1382, 1793, 328, 1830, 1148, 502, 79, 506, 1093, 49, 787, 1637, 243, 1760, 79, 7, 946, 510, 253, 1417, 828, 52, 1, 1034, 635, 775, 848, 1765, 1225, 1686, 1469, 793, 1311, 666, 1397, 449, 1255, 655, 638, 1145, 627, 735, 509, 624, 1244, 58, 1449, 961, 937, 1139, 827, 628, 195, 1633, 104, 514, 750, 848, 55, 1568, 1217, 109, 821, 1544, 917, 1147, 872, 935, 362, 1530, 1092, 1611, 727, 1741, 1805, 9, 376, 1068, 608, 1400, 214, 1642, 1521, 935, 1091, 662, 1713, 1615, 473, 33, 416, 1820, 1656, 1410, 575, 1785, 764, 1100, 985, 1066, 678, 656, 1008, 1053, 1723, 971, 1172, 1038, 1720, 581, 1434, 882, 1583, 1668, 1310, 955, 213, 1002, 983, 189, 1280, 547, 549, 775, 361, 1459, 1742, 519, 1533, 428, 213, 202, 399, 1468, 1324, 95, 753, 1477, 113, 1468, 1819, 1431, 1633, 1775, 1814, 1702, 1793, 1809, 1668, 128011, 128001 ]
[ 128000, 128002, 4071, 264, 26765, 1841, 374, 49188, 264, 25018, 1606, 433, 596, 864, 70666, 323, 2646, 1903, 433, 704, 8800, 36310, 13, 128003, 128005, 1446, 496, 1235, 82, 200, 243, 441, 93, 2, 364, 380, 829, 1286, 170, 892, 384, 1389, 1677, 1351, 1414, 1466, 1462, 1268, 1412, 1317, 1648, 1303, 978, 459, 1223, 526, 1489, 229, 378, 967, 470, 751, 1117, 1066, 1492, 901, 973, 962, 1243, 406, 1481, 1324, 357, 1139, 1824, 416, 1089, 798, 713, 24, 1127, 753, 1240, 1372, 901, 1382, 1247, 840, 1401, 428, 1624, 154, 129, 1364, 362, 997, 269, 1810, 1370, 903, 1243, 1667, 1508, 1765, 656, 1766, 1481, 1320, 173, 374, 1379, 573, 777, 749, 589, 1324, 565, 1055, 549, 779, 319, 1077, 1175, 525, 1654, 57, 1653, 129, 295, 1375, 648, 1823, 1589, 1518, 1176, 1489, 1466, 1766, 737, 1359, 333, 1341, 134, 878, 639, 615, 960, 1227, 1804, 1009, 1438, 719, 870, 1055, 1400, 358, 1258, 1263, 155, 385, 1147, 599, 1317, 1320, 1325, 41, 1533, 48, 1828, 1720, 1227, 1470, 297, 1706, 1009, 95, 1808, 780, 783, 750, 385, 1590, 1707, 594, 672, 1154, 163, 1510, 1777, 927, 805, 1196, 112, 480, 1372, 51, 1149, 1468, 847, 303, 1398, 1720, 346, 297, 607, 137, 384, 825, 1825, 1261, 1068, 1084, 1447, 1710, 154, 46, 1500, 1089, 1135, 1184, 321, 243, 961, 330, 1066, 110, 577, 1296, 809, 947, 1690, 1084, 1682, 1640, 1517, 1422, 879, 1589, 1306, 1504, 493, 1749, 1393, 1436, 1385, 788, 1495, 900, 885, 594, 566, 418, 484, 975, 334, 1108, 726, 910, 1643, 796, 831, 1570, 1695, 1553, 372, 1632, 1230, 1098, 610, 205, 1097, 297, 440, 660, 1087, 153, 1741, 1330, 519, 529, 1238, 129, 117, 546, 416, 1077, 1665, 1416, 1634, 1518, 1744, 448, 858, 1568, 1363, 1418, 1592, 1510, 584, 1557, 1822, 886, 1532, 1770, 1057, 1359, 1317, 922, 1059, 47, 109, 990, 836, 1523, 764, 272, 1830, 1456, 40, 578, 1092, 1687, 631, 1103, 929, 116, 1623, 725, 145, 929, 150, 1713, 1113, 1190, 128, 88, 125, 764, 956, 371, 983, 1296, 1077, 835, 1309, 1726, 1298, 592, 1226, 400, 454, 1059, 1300, 887, 1825, 1379, 1350, 1336, 1021, 184, 1613, 1287, 363, 1360, 1737, 1421, 1400, 1264, 1342, 917, 1228, 700, 810, 989, 935, 368, 1152, 0, 1030, 1788, 300, 1063, 1353, 560, 1486, 907, 1205, 530, 1686, 1672, 708, 1428, 798, 1714, 1444, 1298, 196, 864, 795, 1630, 882, 381, 1156, 919, 997, 231, 1348, 521, 6, 936, 587, 1238, 1526, 364, 1638, 1493, 239, 1469, 449, 459, 188, 1705, 1177, 1173, 1256, 1200, 1127, 1184, 521, 407, 1194, 1492, 386, 182, 1148, 269, 1278, 1267, 1504, 1484, 1032, 1108, 879, 693, 1227, 470, 1038, 591, 121, 1517, 1775, 1358, 1420, 1295, 1716, 1423, 946, 1136, 1294, 1087, 1097, 1013, 1235, 1291, 1388, 1310, 1756, 1388, 1097, 144, 1008, 772, 1396, 1205, 1653, 1704, 328, 1777, 1524, 308, 1478, 796, 1039, 1124, 802, 302, 1302, 949, 1302, 1444, 1457, 131, 361, 1543, 1534, 1726, 345, 1048, 636, 1725, 1496, 645, 1391, 1061, 1349, 1795, 62, 1565, 796, 1139, 1148, 146, 787, 705, 2, 100, 991, 93, 128, 1183, 1132, 931, 260, 1690, 545, 1636, 1087, 1315, 1611, 1378, 1677, 996, 1667, 725, 1447, 636, 687, 1797, 1524, 1790, 1637, 1410, 1707, 219, 165, 244, 244, 128011, 128001 ]
[ 128000, 128002, 2746, 2555, 374, 9124, 555, 264, 2883, 323, 3250, 956, 636, 389, 279, 36310, 520, 11040, 11, 433, 596, 264, 25018, 477, 264, 1296, 6689, 477, 6205, 11, 8996, 499, 1390, 311, 1650, 433, 13, 763, 856, 2363, 11, 814, 2351, 5128, 1790, 682, 279, 1890, 13, 128003, 128005, 436, 1333, 28, 966, 1680, 745, 466, 1715, 556, 1560, 1166, 1241, 1098, 213, 407, 398, 213, 768, 1202, 84, 1399, 51, 371, 897, 155, 521, 831, 755, 1365, 1789, 1690, 1730, 1422, 1656, 1320, 475, 315, 36, 6, 1281, 189, 1014, 335, 787, 1694, 79, 776, 1337, 1350, 1236, 1345, 1491, 1773, 1525, 733, 649, 1131, 199, 957, 548, 1408, 641, 717, 505, 567, 486, 16, 651, 659, 417, 651, 686, 762, 567, 1302, 1328, 1466, 1345, 775, 108, 184, 1616, 356, 648, 183, 863, 1782, 1586, 1664, 950, 1228, 1193, 872, 1519, 1808, 1448, 402, 728, 455, 328, 763, 1760, 1326, 1534, 817, 637, 647, 608, 725, 662, 817, 682, 1249, 849, 1502, 1544, 858, 1753, 189, 320, 1718, 399, 1479, 1654, 867, 1385, 816, 1271, 711, 82, 749, 173, 1638, 81, 1245, 705, 767, 573, 783, 714, 1053, 48, 1500, 1692, 1425, 1241, 1682, 1379, 1325, 1317, 1261, 552, 1698, 1113, 1427, 1126, 1650, 217, 1652, 1647, 850, 995, 1738, 1051, 1247, 588, 1035, 1449, 1615, 1757, 1330, 1436, 1261, 1794, 1646, 1087, 739, 1437, 736, 1267, 1021, 1697, 1594, 1699, 171, 984, 418, 531, 1244, 967, 437, 888, 513, 1185, 450, 651, 1288, 765, 627, 311, 566, 727, 465, 445, 555, 704, 832, 1731, 1041, 955, 1027, 1156, 1310, 1715, 57, 1302, 1069, 1228, 269, 888, 738, 1796, 861, 66, 1479, 1717, 1376, 940, 1204, 764, 626, 132, 699, 1741, 791, 112, 1494, 1422, 467, 197, 749, 108, 175, 230, 890, 798, 1382, 1459, 1186, 858, 1661, 700, 108, 1444, 495, 1676, 1456, 1807, 1765, 1181, 1039, 1112, 984, 914, 1541, 444, 544, 676, 114, 496, 1824, 183, 18, 1814, 230, 657, 1649, 1, 123, 1488, 28, 203, 1429, 901, 1308, 1331, 1097, 1186, 1030, 938, 705, 1373, 1166, 607, 1730, 1056, 913, 1292, 682, 1472, 636, 945, 1019, 1681, 1649, 532, 1453, 833, 297, 1709, 308, 1596, 556, 454, 1089, 253, 1395, 979, 253, 1120, 944, 580, 1021, 210, 1740, 764, 723, 79, 1202, 1141, 192, 1162, 1192, 367, 1328, 1045, 234, 1229, 1541, 158, 1385, 1384, 1502, 1735, 1743, 863, 901, 634, 46, 1436, 328, 1403, 1458, 1691, 1694, 1302, 1641, 460, 1714, 1367, 1095, 1228, 1208, 1063, 886, 880, 1690, 371, 53, 1280, 808, 147, 73, 736, 1204, 910, 700, 332, 1232, 1471, 1248, 611, 772, 176, 326, 1713, 780, 98, 731, 57, 1605, 231, 363, 1807, 1543, 1658, 415, 18, 1091, 166, 1232, 1306, 393, 647, 634, 1132, 587, 1827, 467, 1351, 632, 1814, 934, 1335, 1638, 1189, 1475, 1751, 1716, 1410, 1769, 1378, 725, 1227, 493, 532, 1642, 1678, 1643, 1376, 230, 1061, 320, 1173, 1524, 1710, 1756, 1664, 1597, 1788, 1375, 1317, 1329, 1730, 1799, 1190, 1148, 83, 923, 864, 1168, 632, 29, 1421, 1213, 205, 1648, 1155, 774, 1684, 1076, 1699, 1439, 636, 198, 1500, 1820, 1066, 1499, 648, 1459, 1210, 1358, 1064, 550, 549, 1043, 466, 556, 1467, 1268, 1738, 470, 1108, 1064, 437, 1028, 548, 266, 1611, 747, 1262, 486, 1070, 869, 1111, 1095, 1373, 871, 1827, 1381, 695, 1440, 9, 927, 703, 1092, 1152, 199, 1519, 510, 178, 46, 1067, 1313, 1105, 210, 764, 1182, 25, 475, 512, 550, 22, 1272, 945, 471, 1002, 794, 556, 1171, 276, 178, 1412, 1002, 1206, 73, 47, 1173, 841, 461, 173, 1487, 164, 1122, 254, 1196, 678, 1260, 203, 1303, 1427, 1038, 1067, 1095, 1199, 1260, 449, 1043, 638, 717, 1227, 199, 42, 405, 526, 1321, 351, 1163, 265, 916, 693, 1731, 394, 584, 783, 905, 1253, 877, 1027, 725, 1518, 409, 858, 556, 46, 454, 409, 1337, 1122, 750, 664, 1661, 549, 303, 328, 1647, 1136, 1230, 787, 1661, 1548, 1736, 1654, 933, 495, 991, 1106, 217, 1700, 829, 1607, 959, 1635, 1456, 1274, 1268, 1705, 1746, 117, 1833, 1412, 870, 1504, 1034, 1649, 1448, 1139, 1754, 902, 1451, 1033, 1621, 1478, 845, 578, 1137, 423, 672, 942, 1493, 1429, 1232, 249, 1460, 1473, 67, 1066, 297, 100, 1147, 892, 714, 742, 1257, 1649, 1218, 1082, 1451, 1102, 230, 1486, 1209, 362, 1401, 217, 787, 616, 1774, 642, 703, 719, 524, 1629, 768, 203, 1041, 1454, 29, 1799, 272, 1309, 790, 1448, 1660, 1201, 695, 1367, 248, 1455, 1119, 367, 1271, 1179, 192, 1173, 826, 36, 1332, 1506, 1611, 1331, 1295, 1797, 1630, 1453, 1106, 598, 460, 879, 717, 1714, 1486, 1632, 1476, 981, 1175, 1741, 1360, 493, 1478, 1292, 1313, 1144, 793, 1475, 601, 1120, 693, 712, 387, 971, 257, 765, 923, 1273, 1080, 1474, 1242, 136, 465, 984, 1289, 1799, 322, 117, 317, 1290, 93, 1635, 958, 660, 969, 383, 106, 1435, 517, 221, 1532, 152, 1409, 858, 564, 1665, 1791, 1252, 1211, 573, 472, 1586, 557, 781, 73, 861, 1800, 831, 1504, 1572, 735, 1451, 1738, 569, 1631, 913, 1146, 307, 396, 1121, 353, 301, 763, 1736, 656, 1785, 1064, 1462, 626, 1226, 911, 184, 1323, 962, 703, 1225, 1296, 310, 1478, 1001, 19, 1138, 628, 1681, 1467, 519, 863, 1391, 1483, 408, 1385, 1087, 920, 1149, 1675, 1378, 1369, 1716, 1486, 1311, 1470, 519, 1549, 276, 1450, 440, 129, 546, 202, 1324, 1226, 626, 1215, 1733, 375, 183, 1424, 1355, 1686, 595, 1624, 1499, 1448, 1663, 1504, 1485, 530, 837, 1472, 1629, 685, 1360, 89, 165, 244, 244, 128011, 128001 ]
[ 128000, 128002, 4516, 568, 596, 2751, 420, 2697, 24914, 1618, 430, 16181, 7188, 36125, 33622, 13, 2100, 430, 596, 14224, 539, 1972, 13, 1102, 596, 961, 315, 279, 13, 128003, 128005, 325, 265, 1250, 399, 1634, 308, 750, 1758, 1073, 617, 243, 1394, 647, 49, 1249, 510, 319, 1315, 263, 125, 946, 162, 170, 721, 961, 100, 1427, 1273, 1476, 1481, 1005, 425, 381, 293, 1828, 1618, 315, 368, 654, 52, 1701, 376, 1716, 74, 1494, 55, 195, 998, 200, 67, 1318, 1243, 1810, 1389, 1467, 1788, 1457, 855, 115, 155, 955, 186, 901, 306, 208, 1135, 339, 300, 880, 300, 371, 518, 137, 362, 1736, 1682, 1502, 519, 599, 1811, 581, 817, 1126, 1281, 234, 920, 502, 1272, 543, 807, 1267, 380, 1462, 248, 49, 688, 1073, 234, 1304, 999, 1803, 1794, 1341, 444, 1054, 399, 946, 1073, 1547, 1804, 230, 1503, 1323, 1565, 1549, 1709, 198, 1296, 927, 18, 1821, 1448, 1012, 1119, 512, 1532, 1279, 1036, 1196, 777, 107, 983, 412, 1332, 1200, 614, 376, 965, 550, 969, 887, 774, 1344, 695, 184, 653, 1511, 1686, 1541, 1803, 1006, 1038, 711, 1826, 827, 1027, 1525, 927, 1795, 1738, 1532, 1623, 1797, 1654, 417, 1519, 1805, 1230, 1436, 897, 1534, 1079, 1046, 1366, 1670, 191, 1366, 688, 1477, 1160, 1291, 1105, 1387, 1520, 108, 952, 1554, 286, 917, 1238, 1457, 628, 137, 1368, 547, 1078, 1409, 599, 1698, 127, 347, 1013, 1752, 993, 1453, 1098, 1611, 1010, 1331, 1745, 951, 931, 569, 1416, 303, 798, 648, 626, 787, 658, 1173, 1286, 877, 1163, 1682, 1229, 517, 1827, 1421, 1105, 934, 95, 76, 433, 65, 352, 303, 522, 723, 1697, 1344, 1545, 1820, 1455, 1114, 822, 1082, 1698, 626, 901, 1517, 1160, 623, 1461, 1761, 250, 516, 1096, 1456, 570, 1828, 1473, 1036, 1520, 1669, 1721, 1814, 543, 1459, 1074, 349, 1803, 927, 1235, 1583, 985, 1447, 1475, 715, 839, 742, 1521, 965, 289, 117, 1169, 234, 84, 1008, 1783, 215, 575, 1659, 1484, 705, 397, 302, 952, 1494, 1339, 1157, 1095, 336, 1227, 353, 1385, 1438, 1289, 1170, 1829, 1205, 927, 1779, 1355, 1412, 1809, 1034, 1766, 1714, 1082, 1822, 1104, 788, 1385, 1379, 1770, 460, 866, 680, 1085, 202, 1349, 50, 911, 1777, 892, 411, 870, 1391, 860, 30, 214, 1635, 999, 1342, 443, 1266, 1633, 807, 1142, 42, 80, 460, 1071, 732, 1689, 1480, 936, 925, 513, 727, 16, 486, 696, 509, 601, 505, 673, 487, 423, 936, 496, 765, 406, 257, 334, 566, 692, 624, 824, 496, 274, 736, 1232, 1260, 1256, 610, 1532, 446, 1698, 1829, 1590, 1403, 124, 1061, 577, 1190, 1420, 1184, 1081, 364, 1165, 179, 958, 806, 1078, 936, 1281, 1772, 987, 1466, 871, 546, 1335, 749, 320, 901, 230, 368, 1215, 1403, 951, 1752, 1004, 1396, 328, 748, 1146, 877, 1168, 755, 937, 1088, 626, 1040, 705, 1097, 1755, 1058, 1306, 1323, 523, 1316, 594, 918, 1123, 437, 1809, 482, 568, 1799, 133, 534, 1409, 90, 231, 688, 608, 63, 1244, 479, 1473, 639, 592, 937, 1394, 1378, 969, 1255, 552, 1373, 466, 1509, 1460, 1748, 1700, 448, 656, 719, 1549, 1003, 1724, 1743, 1036, 1232, 873, 715, 291, 1465, 944, 937, 1397, 364, 449, 1345, 521, 1343, 934, 1256, 1274, 952, 1705, 1070, 1181, 1565, 610, 1628, 467, 1675, 794, 1318, 297, 384, 1824, 1237, 1320, 1662, 1015, 1292, 1723, 1373, 1705, 470, 1154, 693, 470, 1421, 735, 1007, 156, 156, 453, 244, 128011, 128001 ]
[ 128000, 128002, 39314, 279, 436, 57229, 11, 358, 1781, 374, 279, 4495, 4751, 11, 13358, 483, 7895, 323, 37755, 31023, 13, 128003, 128005, 265, 504, 1793, 1468, 1276, 425, 1657, 294, 1609, 757, 925, 1008, 740, 825, 1294, 1366, 1275, 508, 1291, 348, 588, 124, 580, 344, 613, 1634, 361, 1219, 582, 1555, 1753, 1641, 855, 1004, 1315, 798, 1321, 935, 876, 336, 307, 1103, 1070, 663, 532, 5, 359, 1477, 1180, 524, 553, 1691, 1235, 252, 834, 1388, 1701, 1045, 1278, 1494, 910, 546, 1356, 1195, 890, 721, 182, 834, 1291, 1320, 1311, 1186, 1078, 1466, 1100, 1088, 1651, 1670, 1278, 134, 1677, 1734, 1831, 1642, 1573, 1122, 1351, 1303, 1494, 175, 310, 1813, 1168, 1757, 1620, 1339, 1405, 653, 670, 1121, 470, 680, 563, 449, 1609, 1514, 1455, 1701, 1663, 1312, 1804, 533, 473, 920, 1363, 736, 368, 652, 1546, 679, 1331, 1287, 514, 1820, 273, 1610, 1830, 1597, 1771, 1746, 1609, 1716, 1495, 1693, 1038, 1611, 1155, 514, 753, 1435, 499, 302, 495, 1420, 815, 1279, 1828, 1137, 1316, 1525, 1422, 409, 1748, 1403, 1451, 58, 977, 239, 1541, 1097, 92, 1008, 1434, 1774, 1103, 1073, 1540, 1590, 1766, 1581, 1010, 1743, 307, 578, 1131, 1070, 1632, 1049, 601, 676, 169, 1378, 639, 1086, 1073, 1186, 741, 1005, 210, 1253, 948, 1081, 1332, 1485, 1533, 592, 15, 882, 882, 183, 1166, 175, 1790, 1741, 1587, 1795, 1688, 1416, 1417, 1621, 1798, 1633, 1452, 1048, 1225, 1661, 576, 1372, 1429, 1487, 806, 1411, 1042, 1399, 1075, 789, 849, 1155, 911, 395, 1768, 1308, 1025, 1710, 853, 1510, 787, 1032, 1742, 518, 1525, 191, 1590, 1247, 662, 1711, 126, 1794, 1744, 1676, 1718, 1592, 1391, 1086, 1140, 1078, 622, 1755, 106, 1226, 210, 1404, 53, 1450, 777, 1086, 889, 1742, 860, 1333, 556, 518, 793, 1502, 1339, 719, 1467, 908, 672, 1277, 1328, 1634, 199, 1033, 1474, 1424, 884, 951, 1792, 26, 913, 778, 1335, 1250, 123, 1571, 123, 554, 1691, 1402, 4, 426, 1210, 1270, 1774, 1308, 108, 1206, 62, 362, 1155, 500, 1798, 822, 230, 1581, 32, 485, 1652, 1532, 713, 1671, 1061, 1091, 1298, 802, 1458, 1677, 1290, 1705, 1568, 1583, 1447, 1057, 219, 165, 453, 219, 128011, 128001 ]
[ 128000, 128002, 1966, 813, 2697, 9072, 1314, 1618, 11, 568, 1101, 706, 430, 1890, 12708, 11, 1120, 28296, 10284, 22009, 13, 128003, 128005, 933, 377, 1262, 1079, 266, 163, 1675, 1110, 1716, 847, 569, 1651, 1002, 116, 1263, 22, 1209, 1005, 1296, 200, 834, 644, 1528, 858, 508, 1563, 1376, 124, 1533, 1645, 1744, 1208, 966, 1394, 1358, 182, 217, 456, 1787, 1029, 614, 1582, 874, 98, 1057, 1399, 1733, 1178, 1195, 886, 115, 1494, 463, 115, 1310, 172, 210, 1686, 800, 390, 1447, 996, 1464, 1374, 742, 1199, 1816, 1207, 665, 1757, 1107, 320, 397, 787, 1437, 999, 767, 834, 1659, 1139, 1625, 1535, 1487, 1556, 28, 1427, 132, 1452, 1509, 1247, 831, 1259, 0, 1207, 822, 1333, 1656, 233, 529, 184, 529, 1794, 1690, 609, 777, 1627, 1105, 589, 1004, 1184, 997, 205, 910, 1651, 1184, 127, 57, 1566, 848, 560, 1354, 276, 176, 1372, 678, 1399, 1122, 22, 1483, 128, 500, 341, 1815, 1091, 753, 1604, 1387, 1441, 1733, 1500, 901, 352, 1401, 499, 907, 519, 529, 1406, 1797, 1773, 1370, 129, 1393, 631, 1166, 1329, 50, 26, 1200, 1040, 1484, 759, 122, 125, 197, 849, 1116, 599, 217, 1828, 919, 395, 1537, 1091, 48, 1802, 1374, 935, 1679, 600, 1536, 614, 1109, 1240, 411, 1580, 248, 1780, 637, 575, 344, 158, 810, 333, 444, 578, 759, 462, 1702, 1395, 1066, 433, 1832, 1232, 13, 302, 502, 1668, 871, 1554, 1759, 1814, 635, 719, 1698, 1032, 1393, 752, 516, 1199, 681, 822, 1621, 1387, 399, 1302, 822, 1682, 789, 1779, 595, 1554, 448, 687, 1641, 67, 1624, 1701, 1549, 1248, 1134, 1125, 1317, 1053, 1666, 639, 1088, 1306, 1646, 1671, 589, 1258, 755, 424, 1812, 1424, 789, 289, 455, 310, 1439, 1051, 1367, 508, 539, 649, 1166, 506, 1621, 1261, 363, 404, 687, 1546, 202, 1310, 26, 315, 1450, 1061, 416, 1738, 1372, 595, 1102, 621, 128, 298, 1192, 927, 1403, 910, 1145, 1718, 1545, 1013, 1347, 817, 123, 1593, 62, 480, 1631, 1628, 1152, 1500, 577, 718, 47, 1827, 723, 993, 576, 1831, 870, 1810, 736, 1758, 1043, 839, 1556, 1350, 1275, 1064, 913, 648, 1793, 470, 1229, 1766, 1068, 1367, 1141, 1686, 990, 825, 1763, 1057, 662, 1640, 1037, 322, 242, 978, 229, 1623, 1469, 32, 691, 891, 795, 694, 1096, 1543, 1176, 712, 165, 156, 453, 244, 167, 128011, 128001 ]
[ 128000, 128002, 40, 2216, 656, 1093, 813, 8071, 7645, 1618, 13, 1102, 596, 9960, 449, 264, 3169, 315, 342, 5328, 477, 264, 1131, 128003, 128005, 1016, 1011, 792, 578, 563, 470, 1199, 1276, 1187, 886, 291, 1086, 636, 1454, 138, 515, 738, 983, 1819, 350, 1222, 429, 195, 24, 1119, 439, 243, 945, 966, 407, 1767, 1057, 1401, 1520, 154, 315, 1155, 1412, 1638, 182, 488, 1093, 1375, 173, 443, 1460, 573, 1180, 263, 326, 802, 466, 363, 1476, 733, 1665, 1097, 1223, 596, 326, 1580, 1374, 1626, 1376, 1549, 1298, 931, 723, 1304, 665, 1206, 1245, 179, 1203, 937, 270, 1162, 402, 1184, 730, 510, 855, 1238, 147, 1421, 110, 320, 322, 847, 1667, 1545, 848, 648, 793, 67, 1303, 782, 1287, 1724, 333, 1634, 826, 991, 1462, 403, 1403, 1107, 1256, 847, 564, 1400, 1772, 1494, 599, 1393, 1178, 10, 1432, 362, 1402, 1370, 779, 1703, 1827, 1530, 1724, 1473, 1215, 910, 968, 1330, 1487, 1278, 832, 951, 362, 1811, 908, 370, 1721, 1323, 944, 78, 663, 661, 594, 693, 1451, 1285, 1412, 1600, 1003, 979, 1737, 1448, 1024, 1456, 1230, 1250, 1144, 976, 513, 378, 1362, 1299, 1142, 888, 888, 28, 166, 362, 24, 1376, 1589, 1412, 1462, 1434, 736, 1129, 697, 260, 1325, 1182, 159, 1335, 1300, 214, 1711, 1445, 1181, 927, 211, 1115, 1021, 529, 429, 1028, 1382, 478, 1621, 564, 950, 1044, 1016, 112, 900, 648, 354, 640, 321, 1545, 1679, 1594, 1448, 1664, 1385, 1664, 1424, 19, 768, 1109, 201, 1330, 483, 1823, 1129, 7, 1272, 182, 1060, 1253, 38, 1261, 903, 733, 1485, 881, 1365, 1255, 1096, 437, 284, 188, 555, 325, 1071, 1628, 641, 516, 1474, 1080, 923, 544, 939, 1805, 1480, 1223, 1088, 805, 1707, 1303, 1066, 809, 1355, 1261, 621, 1002, 1196, 1153, 88, 1818, 913, 719, 1594, 1494, 870, 1607, 1716, 869, 703, 838, 1219, 250, 586, 734, 1390, 1376, 955, 886, 159, 41, 1135, 1122, 215, 1195, 93, 474, 1260, 88, 1203, 699, 741, 660, 79, 58, 800, 444, 1825, 1811, 1605, 1077, 879, 1588, 413, 505, 806, 427, 1783, 267, 1152, 1075, 611, 1728, 871, 1714, 926, 297, 27, 589, 1321, 992, 192, 585, 1202, 467, 406, 1140, 113, 534, 1055, 642, 1456, 1133, 1235, 1800, 1062, 1298, 719, 887, 22, 1123, 756, 15, 1456, 388, 1691, 1666, 234, 1627, 1347, 388, 1343, 921, 964, 1268, 80, 795, 1123, 1746, 1621, 156, 156, 244, 244, 128011, 128001 ]
[ 128000, 128002, 2059, 1037, 1618, 11, 264, 2145, 269, 13, 3011, 596, 264, 12466, 5774, 6710, 13, 2100, 1633, 1664, 34558, 1070, 430, 814, 3779, 430, 389, 13, 26823, 3245, 449, 1521, 14365, 1618, 323, 1268, 814, 2351, 33740, 13, 15668, 7155, 13, 5046, 3388, 499, 2751, 279, 42742, 1618, 13, 128003, 128005, 1390, 704, 832, 465, 668, 1227, 760, 1687, 1212, 154, 1397, 178, 788, 1303, 543, 1355, 943, 253, 1631, 1364, 718, 599, 1772, 221, 122, 1364, 545, 52, 1636, 1282, 45, 63, 201, 143, 98, 746, 1040, 1245, 652, 1650, 1678, 1463, 533, 713, 1831, 1729, 1175, 1356, 328, 1803, 1498, 213, 514, 1682, 347, 1150, 695, 15, 1032, 1072, 1786, 789, 508, 1339, 689, 1596, 588, 323, 789, 1750, 18, 935, 1758, 1495, 1312, 1565, 1552, 1828, 1766, 699, 829, 422, 1208, 115, 1180, 9, 115, 1331, 306, 474, 471, 82, 682, 166, 248, 1487, 1370, 1240, 834, 1660, 592, 428, 1394, 1439, 1175, 1415, 376, 108, 268, 1437, 1441, 1209, 1098, 1732, 1149, 1618, 1444, 1164, 1773, 953, 1735, 671, 526, 929, 80, 891, 1572, 490, 1721, 585, 1181, 704, 751, 1233, 584, 923, 1007, 765, 971, 1284, 861, 1443, 1714, 1087, 1432, 1141, 1344, 1380, 1650, 1685, 34, 546, 848, 1129, 730, 1229, 1285, 1708, 1788, 86, 563, 1556, 1690, 231, 1668, 933, 1210, 1344, 424, 1718, 173, 1331, 82, 1073, 306, 76, 1309, 386, 637, 1671, 1341, 239, 1394, 1217, 320, 1238, 1337, 368, 1583, 231, 1818, 1320, 321, 802, 1604, 1804, 1354, 1185, 1511, 1021, 1304, 1021, 1119, 1228, 937, 1327, 949, 1684, 1004, 1469, 848, 183, 1296, 198, 1476, 344, 231, 1790, 660, 640, 1069, 1496, 108, 1008, 490, 560, 1451, 921, 1332, 1655, 240, 1738, 174, 77, 1405, 1032, 1139, 1175, 1798, 533, 1761, 514, 1518, 1225, 1827, 124, 1712, 1503, 1560, 1068, 990, 1647, 1742, 415, 1646, 1283, 129, 1588, 448, 117, 1451, 1376, 1632, 865, 1616, 1322, 634, 1713, 924, 1215, 1121, 1134, 1568, 1211, 1175, 1749, 1448, 1238, 1118, 1519, 1781, 1121, 1451, 981, 1705, 1145, 1038, 950, 795, 712, 1616, 426, 398, 1027, 704, 1565, 977, 1496, 1001, 182, 387, 73, 1647, 734, 1350, 1737, 1740, 1700, 1552, 1685, 511, 1466, 1146, 622, 182, 455, 1437, 253, 545, 549, 63, 214, 129, 1666, 1054, 28, 621, 317, 669, 1502, 456, 1026, 1777, 173, 553, 1584, 996, 390, 1786, 95, 834, 1646, 1365, 1251, 1305, 1686, 1489, 1651, 1504, 1170, 1711, 1154, 1245, 569, 1069, 943, 589, 1098, 306, 228, 1054, 524, 1143, 955, 297, 1355, 1502, 1494, 844, 1702, 1195, 1793, 1648, 1646, 1468, 1317, 1337, 695, 286, 1750, 678, 1360, 1472, 1705, 1806, 66, 888, 1714, 359, 1747, 589, 132, 1056, 774, 1304, 798, 213, 1271, 855, 844, 1716, 221, 1513, 1047, 1758, 759, 1062, 1394, 1096, 297, 1146, 642, 1351, 1251, 79, 1737, 1386, 1297, 1603, 1010, 1688, 1671, 1107, 1217, 1431, 57, 28, 1347, 903, 1641, 17, 1808, 1193, 1438, 1203, 1132, 790, 951, 384, 1184, 1083, 282, 816, 1107, 1403, 1484, 876, 500, 740, 1107, 1337, 1353, 969, 338, 678, 1654, 734, 1301, 1805, 5, 1736, 1195, 53, 1748, 1132, 192, 1051, 664, 371, 1630, 1736, 1739, 988, 869, 1328, 984, 1033, 1179, 1268, 9, 1234, 1459, 614, 1047, 1426, 1030, 907, 1286, 1501, 1113, 13, 395, 966, 961, 1180, 57, 341, 1415, 1221, 1265, 1355, 1493, 1280, 1624, 1778, 1409, 1406, 1099, 1506, 338, 1064, 1158, 378, 1393, 1158, 1214, 1701, 1003, 1175, 1553, 1099, 1349, 891, 999, 1752, 967, 989, 1321, 976, 1528, 832, 578, 724, 460, 1543, 928, 1568, 230, 1710, 6, 154, 1583, 1466, 1342, 93, 1015, 527, 1320, 107, 26, 644, 821, 834, 1593, 1513, 1610, 1524, 1592, 1421, 1395, 294, 1035, 1018, 374, 1711, 1470, 1093, 485, 503, 1228, 203, 42, 1221, 738, 22, 1508, 1274, 964, 1799, 1486, 1021, 1823, 234, 1512, 949, 713, 1381, 1702, 230, 1773, 1539, 1217, 1615, 1363, 1769, 1768, 636, 1694, 780, 1149, 1385, 158, 389, 1561, 525, 1640, 1532, 443, 211, 1630, 1121, 1207, 155, 268, 217, 482, 1034, 979, 191, 1673, 282, 319, 124, 479, 1631, 69, 927, 1057, 962, 1258, 529, 182, 48, 1082, 1720, 1271, 430, 1341, 1022, 678, 1590, 1040, 1630, 788, 312, 1672, 1178, 98, 1817, 1005, 887, 347, 147, 1421, 934, 656, 1330, 966, 1090, 798, 388, 1239, 1440, 1186, 772, 53, 1340, 562, 446, 1794, 946, 547, 1445, 490, 1105, 1356, 1429, 1415, 1622, 1429, 1265, 1424, 1309, 956, 411, 1379, 147, 1150, 1212, 173, 395, 1649, 569, 1598, 847, 1093, 1788, 1497, 1092, 1115, 795, 1253, 629, 1534, 1420, 1119, 1075, 158, 1645, 1261, 576, 825, 1361, 886, 614, 1790, 725, 876, 1412, 979, 29, 48, 495, 1009, 29, 317, 1279, 1099, 1463, 1560, 1530, 1349, 882, 1521, 230, 1404, 1432, 1451, 1803, 1639, 1703, 1079, 1570, 1514, 923, 1694, 732, 630, 661, 40, 837, 1373, 378, 1519, 936, 869, 1632, 1038, 1797, 1628, 1268, 1694, 710, 42, 712, 460, 121, 710, 1092, 274, 351, 717, 1538, 1419, 957, 1570, 939, 896, 1514, 805, 1527, 1554, 1435, 1238, 721, 1342, 493, 1190, 190, 616, 639, 1074, 983, 779, 372, 1392, 1029, 631, 1388, 1240, 335, 810, 1475, 1759, 776, 1259, 1814, 1489, 1310, 1770, 1752, 1669, 1159, 805, 705, 564, 1606, 482, 1555, 721, 1796, 354, 1608, 456, 1608, 291, 1696, 411, 1763, 297, 1257, 1781, 1357, 1797, 617, 1467, 1118, 1052, 772, 1478, 229, 1233, 1289, 513, 805, 967, 1465, 1151, 933, 1693, 436, 727, 694, 692, 805, 325, 1023, 710, 16, 555, 1176, 1244, 1003, 1474, 686, 1465, 1614, 121, 1525, 509, 516, 585, 585, 1408, 939, 680, 651, 1242, 1289, 1568, 939, 1199, 1228, 513, 495, 1687, 674, 902, 978, 933, 1104, 86, 781, 1738, 627, 1024, 891, 1279, 1322, 971, 950, 274, 1118, 1802, 1721, 1071, 676, 1348, 1704, 1233, 378, 735, 936, 1475, 1757, 641, 1819, 477, 1739, 1685, 443, 814, 1146, 1069, 1560, 822, 1759, 510, 1146, 1786, 409, 1430, 736, 1146, 1252, 1021, 1308, 1467, 802, 1386, 1431, 1158, 833, 159, 1782, 791, 1055, 1034, 82, 1637, 82, 1797, 422, 57, 900, 637, 1828, 1274, 1064, 1063, 1038, 1669, 1788, 1221, 1484, 892, 355, 1516, 1793, 35, 1301, 1043, 251, 765, 1475, 1690, 1517, 1708, 1312, 169, 536, 957, 492, 1711, 569, 4, 705, 6, 730, 541, 695, 1284, 50, 518, 784, 428, 716, 608, 844, 877, 968, 1594, 1491, 1363, 1753, 1376, 1376, 0, 409, 1018, 1638, 62, 1496, 911, 1309, 1487, 202, 143, 92, 945, 1124, 454, 1209, 1258, 409, 721, 1733, 592, 1487, 1209, 1004, 810, 1225, 1716, 470, 1164, 883, 513, 1475, 984, 1003, 1003, 128011, 128001 ]
[ 128000, 128002, 23956, 814, 682, 11816, 3871, 439, 499, 649, 1518, 1070, 13, 358, 2846, 539, 2133, 311, 656, 430, 1606, 814, 2351, 264, 2697, 45350, 323, 358, 1093, 1268, 814, 527, 1314, 1457, 13, 2435, 2351, 682, 9041, 10980, 18813, 779, 499, 649, 3169, 315, 12903, 433, 2212, 13, 2030, 814, 1053, 682, 11816, 709, 13, 128003, 128005, 1362, 377, 627, 1585, 465, 1137, 1189, 1117, 583, 454, 814, 1390, 1795, 1737, 129, 895, 634, 749, 1405, 552, 1218, 980, 944, 112, 1602, 1182, 1191, 1296, 93, 1639, 82, 1167, 422, 477, 1825, 306, 553, 455, 1111, 1434, 306, 214, 1531, 1320, 1445, 1521, 1241, 1556, 901, 1660, 1292, 315, 1099, 1746, 816, 525, 332, 1665, 260, 481, 1644, 475, 810, 1701, 475, 1472, 1393, 703, 59, 1736, 1025, 1737, 848, 1104, 198, 1370, 1496, 1241, 326, 1290, 725, 1446, 870, 869, 359, 485, 699, 1769, 271, 1195, 467, 239, 855, 508, 804, 639, 871, 980, 475, 786, 466, 1003, 113, 752, 759, 1198, 714, 1257, 479, 762, 1326, 1225, 1272, 1580, 295, 1699, 448, 1682, 930, 825, 817, 1323, 842, 1234, 989, 932, 286, 1725, 1456, 1646, 920, 930, 198, 1355, 166, 315, 1215, 166, 1631, 1496, 1281, 778, 361, 1290, 123, 1228, 1482, 1635, 344, 921, 1168, 708, 882, 1115, 15, 1208, 1140, 132, 1087, 1345, 1073, 1207, 65, 1317, 1055, 346, 1200, 797, 1254, 876, 1272, 414, 1170, 148, 758, 1331, 1402, 113, 225, 1303, 1143, 252, 1498, 1088, 109, 1448, 1773, 727, 1261, 730, 959, 1430, 1511, 557, 1458, 1340, 160, 22, 1249, 1682, 805, 550, 928, 1048, 1832, 1689, 804, 1796, 591, 1600, 198, 1687, 990, 961, 1145, 587, 1557, 730, 888, 1374, 921, 769, 389, 867, 576, 1385, 665, 839, 863, 1122, 1226, 956, 783, 714, 1172, 461, 1487, 714, 738, 1448, 1227, 396, 1743, 1385, 1188, 117, 1137, 1803, 1216, 73, 1783, 1041, 1189, 128, 1729, 1356, 1790, 926, 1563, 1678, 1646, 510, 368, 1532, 368, 1817, 1777, 1617, 1033, 1370, 1754, 1421, 767, 1525, 1411, 1524, 1037, 1342, 1722, 1211, 1349, 1233, 1458, 1145, 1092, 274, 625, 555, 1652, 799, 869, 1373, 708, 938, 532, 1142, 1345, 988, 1600, 260, 1346, 719, 828, 683, 876, 810, 1797, 1087, 653, 289, 1487, 1744, 1212, 675, 289, 374, 576, 917, 1513, 1498, 1661, 648, 1802, 595, 1337, 1448, 714, 1737, 1489, 626, 149, 1147, 456, 132, 1122, 1483, 537, 1107, 128, 1201, 467, 595, 934, 1364, 777, 1476, 679, 134, 117, 1772, 1310, 1535, 1113, 600, 1327, 973, 987, 1832, 532, 1425, 1720, 1371, 1704, 805, 932, 772, 1277, 593, 1658, 1658, 1006, 584, 1144, 516, 1669, 1767, 1206, 1720, 809, 1821, 1457, 1537, 1399, 1742, 1030, 1308, 1475, 1001, 1056, 1211, 809, 1423, 967, 191, 1416, 674, 825, 1481, 497, 1350, 1199, 138, 1337, 1294, 628, 750, 893, 845, 1411, 1611, 782, 1749, 1227, 19, 880, 1025, 1110, 1189, 996, 1051, 123, 1735, 1503, 1808, 1810, 1185, 1411, 1172, 1333, 1074, 1192, 1519, 1313, 1742, 1337, 937, 1027, 386, 1330, 581, 291, 1817, 991, 1368, 767, 492, 1038, 13, 1445, 171, 660, 1768, 307, 550, 676, 708, 1261, 732, 467, 1238, 984, 408, 990, 1295, 1415, 336, 1218, 793, 1487, 1624, 733, 1310, 1484, 1318, 1332, 658, 732, 521, 1220, 1483, 346, 1443, 1257, 547, 1417, 363, 1135, 717, 48, 1481, 932, 548, 1195, 229, 869, 1268, 1003, 1403, 1725, 1393, 1476, 1010, 1436, 1632, 1305, 1342, 799, 1632, 1481, 396, 866, 1128, 1079, 387, 387, 1010, 1570, 1273, 1669, 704, 805, 1362, 509, 1007, 1390, 1260, 1462, 1361, 1062, 1056, 1746, 1277, 467, 1043, 1304, 205, 1051, 1103, 205, 1455, 905, 184, 1741, 1744, 749, 687, 1146, 52, 1476, 1342, 556, 1556, 1027, 1250, 786, 1679, 1165, 1200, 908, 51, 1481, 1179, 192, 1815, 1499, 205, 1064, 1150, 587, 1440, 1408, 1391, 655, 1137, 1367, 908, 387, 1169, 9, 1167, 1429, 1115, 65, 1698, 490, 441, 362, 804, 1378, 1630, 1301, 1230, 1811, 1321, 1631, 1736, 1363, 1069, 1612, 1290, 493, 98, 1543, 1642, 830, 1826, 1784, 676, 1404, 1046, 987, 995, 961, 439, 1440, 1752, 1004, 557, 1658, 1290, 1141, 47, 856, 1649, 713, 1537, 1700, 1715, 1315, 1637, 1285, 1474, 1711, 516, 233, 239, 888, 6, 1479, 636, 1739, 869, 1069, 454, 603, 1732, 1657, 603, 1701, 1421, 1423, 1824, 903, 1359, 810, 1732, 1413, 1684, 1342, 1121, 1275, 1116, 708, 1826, 1459, 1326, 1126, 861, 973, 1397, 744, 1350, 1615, 1769, 230, 1217, 1021, 213, 636, 26, 519, 1667, 1354, 1617, 1543, 1568, 1213, 1220, 1103, 756, 1255, 1047, 1432, 1326, 1059, 1369, 1253, 1425, 1141, 1754, 875, 983, 676, 1115, 1206, 555, 1087, 1758, 145, 951, 1833, 965, 1226, 1443, 65, 1108, 1304, 461, 1475, 953, 642, 1738, 1392, 1731, 1588, 742, 1478, 1500, 1560, 1650, 1823, 1440, 981, 1817, 971, 1370, 1495, 1118, 858, 1601, 1638, 1476, 981, 1088, 1694, 1683, 1343, 693, 762, 578, 594, 207, 799, 42, 1429, 492, 1430, 783, 1163, 1644, 1674, 1100, 842, 210, 1612, 335, 252, 1760, 1217, 429, 1319, 1761, 478, 712, 1517, 629, 683, 429, 1488, 1116, 1223, 63, 216, 1362, 1325, 159, 1472, 1253, 660, 1670, 321, 545, 1229, 1187, 125, 1408, 1341, 1677, 1588, 1690, 844, 995, 1235, 333, 1730, 848, 1777, 1189, 1141, 635, 1566, 1100, 217, 891, 657, 1694, 718, 1607, 1323, 856, 337, 1396, 1466, 1207, 789, 1532, 660, 1483, 1119, 87, 1297, 1424, 76, 1420, 1249, 1816, 1404, 1311, 586, 42, 1426, 927, 187, 165, 244, 219, 128011, 128001 ]
[ 128000, 128002, 2675, 649, 1518, 279, 1203, 436, 57229, 1618, 439, 1664, 902, 374, 2500, 12466, 6710, 13, 128003, 128005, 704, 704, 548, 672, 690, 1080, 1651, 744, 973, 1242, 1625, 1664, 1387, 1354, 38, 1741, 980, 1761, 1489, 587, 1562, 1272, 1644, 1659, 1192, 459, 552, 759, 830, 1584, 1781, 1469, 1051, 1233, 1406, 686, 1675, 991, 687, 82, 1542, 441, 306, 254, 571, 829, 371, 1119, 402, 1422, 610, 1029, 1353, 1723, 1429, 1396, 19, 1700, 1199, 1199, 1195, 120, 1695, 988, 1755, 588, 22, 718, 665, 1210, 521, 1453, 152, 899, 1155, 1718, 813, 1410, 1460, 1015, 830, 951, 1250, 840, 1074, 952, 1655, 1436, 1605, 640, 1568, 1432, 635, 677, 1416, 638, 328, 709, 1036, 1445, 1179, 794, 1526, 1429, 409, 798, 830, 940, 1691, 1709, 399, 1470, 1734, 1459, 41, 1748, 1388, 1722, 354, 923, 1136, 1307, 931, 1140, 1345, 260, 1471, 996, 291, 1828, 1682, 105, 988, 1430, 456, 1406, 719, 742, 1741, 1661, 1649, 863, 1476, 1642, 1399, 41, 1660, 1710, 1518, 4, 1296, 1726, 1751, 966, 1542, 859, 903, 1734, 1506, 1127, 1123, 466, 1814, 1435, 13, 1765, 1060, 412, 1248, 1115, 422, 1705, 804, 1690, 1564, 526, 1333, 1213, 1016, 1393, 971, 1421, 294, 1795, 797, 1232, 1087, 128, 1611, 1200, 179, 1743, 1764, 1280, 546, 15, 1088, 1441, 1535, 1364, 176, 1484, 1410, 1655, 1607, 101, 1608, 1037, 1693, 1419, 751, 281, 86, 1738, 821, 1541, 608, 1774, 1345, 92, 503, 1642, 1573, 1443, 124, 1715, 863, 1138, 1330, 233, 1678, 788, 129, 1342, 1283, 6, 1422, 166, 1270, 1225, 398, 1632, 701, 634, 1573, 554, 1375, 334, 165, 219, 244, 128011, 128001 ]
[ 128000, 128002, 22105, 420, 374, 279, 9986, 13, 1115, 374, 279, 9986, 11, 1314, 30, 358, 1541, 956, 1440, 13, 358, 1205, 311, 4048, 922, 59432, 13, 16183, 88323, 45498, 1578, 13, 1628, 439, 449, 682, 279, 25761, 13, 128003, 128005, 561, 449, 1133, 1688, 1424, 631, 1470, 994, 190, 576, 1049, 1436, 1527, 1759, 940, 503, 1683, 49, 1624, 312, 1306, 927, 615, 1718, 473, 1469, 1057, 1700, 1210, 884, 352, 1806, 409, 112, 1827, 1018, 1482, 230, 46, 714, 18, 298, 1278, 1283, 1748, 1496, 652, 1621, 1290, 1602, 1483, 1786, 1625, 1754, 1653, 1227, 1253, 1185, 1027, 959, 1580, 1460, 333, 1387, 473, 1549, 34, 1825, 1824, 1713, 1389, 1022, 1514, 1607, 1653, 1562, 923, 1176, 1603, 117, 50, 1500, 1215, 1035, 1051, 1325, 1393, 95, 1680, 884, 937, 1631, 1626, 1119, 1568, 1156, 1438, 1468, 1433, 1477, 1595, 1274, 717, 1065, 698, 766, 363, 59, 1145, 1662, 1328, 1814, 1100, 753, 473, 1753, 233, 714, 1027, 230, 117, 26, 1649, 1286, 1384, 1240, 1554, 1831, 906, 1441, 1786, 1800, 1706, 1462, 1460, 682, 1267, 1565, 1773, 1469, 1601, 1518, 1247, 50, 1600, 1621, 1823, 1204, 510, 443, 1795, 1027, 1192, 1075, 1734, 9, 1448, 1155, 1102, 1694, 1189, 1192, 1635, 1593, 1017, 1621, 721, 1298, 1124, 1088, 359, 328, 1330, 1009, 376, 1793, 648, 1185, 860, 1587, 1381, 42, 1655, 655, 1385, 971, 1378, 1601, 1023, 1108, 325, 1471, 1391, 1828, 1295, 1793, 639, 1263, 1220, 679, 1001, 1489, 1402, 1089, 1756, 41, 1739, 1811, 1455, 1759, 1584, 1803, 1800, 1656, 1761, 1726, 1042, 1738, 1757, 1477, 1822, 1706, 1210, 1525, 1396, 1517, 1461, 1499, 1704, 1413, 1317, 1749, 1697, 1438, 1791, 1210, 1320, 1690, 937, 1766, 1057, 239, 29, 1267, 1334, 1351, 616, 784, 983, 1612, 1337, 810, 1350, 1514, 1274, 1803, 1747, 1611, 6, 28, 1519, 1588, 887, 1822, 1281, 1416, 1538, 1014, 1809, 1109, 1213, 809, 1677, 663, 1191, 930, 626, 1314, 1598, 1124, 1642, 1604, 1199, 1556, 946, 751, 1689, 150, 1601, 1304, 9, 1814, 1013, 1504, 1675, 1213, 1471, 1519, 98, 1751, 1825, 1068, 1067, 1264, 1083, 1811, 1812, 1107, 1739, 1762, 1052, 1067, 1055, 1683, 1299, 1396, 1259, 1643, 1193, 1434, 1107, 1196, 719, 1463, 1731, 1611, 1378, 1155, 1749, 160, 717, 1010, 627, 0, 1735, 1443, 865, 1006, 1051, 1747, 1158, 1735, 1019, 1751, 654, 1715, 1376, 1665, 1718, 1270, 1037, 1643, 666, 805, 1233, 387, 981, 387, 1601, 1721, 1570, 121, 274, 766, 751, 1362, 692, 1003, 1570, 939, 1279, 1538, 693, 976, 710, 1199, 1250, 1231, 1211, 426, 845, 869, 1536, 1137, 938, 1319, 1199, 1383, 406, 869, 694, 971, 1390, 1536, 1118, 1176, 1461, 1114, 933, 513, 686, 325, 1144, 325, 567, 1144, 823, 1730, 1104, 1570, 964, 1815, 1193, 1318, 1224, 639, 965, 1814, 1071, 695, 1752, 798, 1130, 917, 193, 957, 1736, 872, 1742, 1216, 291, 1565, 847, 9, 931, 1438, 1019, 1683, 1778, 1453, 1067, 1735, 1306, 1364, 1277, 550, 1348, 1083, 724, 761, 752, 1665, 64, 1071, 1306, 1224, 1330, 1703, 1386, 1776, 1363, 1833, 927, 1513, 1459, 1012, 938, 924, 1205, 626, 941, 1250, 580, 1747, 1001, 737, 900, 73, 1629, 655, 191, 1782, 1804, 1658, 1789, 1356, 1129, 1792, 1068, 1573, 810, 1373, 1071, 272, 712, 1181, 566, 1118, 663, 1322, 709, 442, 1721, 1593, 454, 26, 1781, 1701, 4, 525, 1679, 10, 467, 508, 1086, 279, 39, 1399, 253, 73, 979, 882, 1263, 384, 1814, 858, 411, 1057, 1460, 48, 1646, 863, 1084, 57, 875, 1682, 132, 1775, 1830, 1382, 1564, 1532, 1797, 845, 1024, 1112, 630, 1205, 353, 584, 1289, 378, 1512, 666, 957, 1538, 1246, 1474, 704, 1142, 928, 465, 1233, 1536, 692, 1338, 975, 1262, 274, 274, 1793, 686, 1142, 950, 1474, 824, 957, 377, 957, 1536, 1007, 1719, 686, 891, 325, 785, 1293, 1523, 585, 1284, 544, 933, 325, 544, 1007, 862, 766, 1652, 1474, 795, 1628, 696, 1262, 544, 957, 1694, 1474, 824, 862, 1244, 824, 274, 274, 957, 1016, 899, 933, 766, 1007, 1601, 704, 387, 928, 691, 939, 1151, 1157, 686, 704, 712, 1721, 766, 1010, 758, 387, 1721, 686, 899, 1293, 704, 967, 1284, 1273, 1144, 896, 555, 1211, 1538, 971, 1343, 975, 1038, 781, 121, 1121, 1359, 651, 1099, 1327, 1003, 1164, 1114, 1121, 1215, 627, 1306, 1302, 1038, 1430, 762, 1181, 666, 460, 950, 1570, 627, 1011, 710, 1096, 1583, 1298, 1504, 736, 951, 502, 989, 628, 753, 639, 943, 806, 1004, 1018, 892, 1280, 1411, 886, 102, 1715, 980, 700, 748, 1145, 1533, 1537, 1436, 1415, 1671, 1728, 752, 964, 1408, 523, 1654, 1821, 1220, 639, 1190, 1431, 1325, 1132, 599, 1200, 521, 687, 1107, 179, 755, 797, 157, 1200, 868, 570, 985, 839, 102, 234, 1278, 308, 965, 1482, 687, 319, 493, 1161, 1728, 1470, 1755, 1591, 1493, 770, 1786, 1162, 9, 428, 1776, 293, 310, 1769, 1800, 1755, 1457, 1791, 1486, 1826, 1525, 1118, 1118, 548, 567, 1185, 1697, 1083, 1111, 1330, 816, 525, 1445, 408, 475, 205, 462, 576, 721, 293, 1193, 138, 965, 2, 635, 128, 374, 157, 489, 249, 1647, 1598, 1804, 1087, 1047, 153, 1466, 1341, 1373, 1388, 1632, 1526, 1646, 333, 1797, 175, 1728, 1149, 1487, 1307, 1015, 297, 716, 1412, 789, 1825, 372, 191, 884, 774, 1815, 154, 798, 619, 983, 1807, 154, 55, 1654, 1535, 48, 1534, 1754, 1541, 1022, 1599, 1584, 1791, 1757, 1710, 448, 493, 230, 448, 1422, 4, 1532, 1432, 546, 1225, 1354, 652, 1637, 710, 165, 219, 244, 244, 167, 128011, 128001 ]
[ 128000, 128002, 7009, 617, 420, 14512, 1618, 389, 279, 5740, 430, 6276, 1124, 311, 4667, 279, 1514, 7437, 779, 814, 649, 3169, 315, 35840, 311, 11722, 2212, 279, 1514, 7437, 13, 3011, 596, 5128, 7155, 13, 36530, 279, 9515, 2949, 279, 25761, 15861, 430, 2751, 6004, 656, 539, 617, 430, 11, 719, 128003, 128005, 344, 891, 459, 1003, 259, 691, 936, 334, 1589, 1202, 1519, 756, 374, 1633, 773, 1126, 1460, 1344, 1323, 886, 306, 697, 128, 880, 157, 958, 1068, 1286, 1341, 1336, 1739, 1456, 1355, 1758, 1258, 479, 1335, 63, 783, 1617, 430, 848, 122, 687, 1519, 407, 1714, 719, 22, 1067, 1470, 1665, 1752, 1756, 797, 491, 1564, 1421, 1107, 289, 536, 268, 1554, 1119, 1787, 1224, 557, 129, 1051, 1358, 577, 615, 1470, 1482, 1433, 383, 1630, 1271, 47, 1424, 944, 1089, 1077, 759, 47, 949, 1434, 1429, 1731, 725, 1482, 126, 1827, 1170, 1005, 312, 1496, 1339, 272, 1028, 1193, 997, 977, 1261, 589, 205, 1424, 422, 1046, 841, 492, 1500, 755, 657, 1739, 931, 1047, 1240, 48, 1814, 1088, 1392, 1429, 1500, 319, 312, 1669, 1241, 1030, 1422, 461, 1324, 973, 1256, 955, 104, 1328, 1308, 665, 1825, 1435, 1303, 893, 1123, 1064, 879, 1305, 1118, 229, 1268, 405, 680, 1227, 259, 301, 563, 513, 1819, 1307, 910, 659, 456, 572, 1113, 545, 1212, 82, 940, 1183, 359, 1790, 573, 876, 1382, 770, 0, 518, 1644, 587, 1615, 298, 384, 1524, 1300, 1087, 1292, 110, 1689, 1161, 1655, 864, 793, 1155, 1719, 1485, 317, 1418, 1605, 936, 1796, 1642, 788, 190, 782, 178, 631, 1397, 1041, 626, 1290, 1606, 1659, 895, 1806, 1125, 512, 1123, 495, 1297, 1501, 1214, 1056, 935, 1061, 600, 1099, 573, 977, 375, 777, 522, 1813, 1401, 1481, 1285, 531, 1120, 1824, 767, 759, 1220, 868, 1396, 1744, 1595, 893, 918, 936, 1211, 631, 1649, 888, 495, 1106, 1466, 82, 1613, 349, 1435, 137, 1353, 166, 425, 1028, 648, 1416, 129, 129, 788, 122, 368, 454, 1135, 977, 234, 806, 587, 104, 1183, 560, 940, 1008, 1556, 1772, 1774, 648, 848, 782, 315, 1225, 1355, 1641, 1322, 1432, 1741, 1211, 1034, 1809, 1230, 117, 772, 1034, 1583, 924, 493, 1525, 902, 1422, 772, 1230, 1760, 516, 785, 674, 676, 1685, 896, 50, 736, 968, 1238, 1429, 657, 1528, 466, 954, 1345, 1750, 1025, 1230, 1203, 1032, 155, 781, 1406, 1699, 1750, 563, 1701, 1131, 1535, 801, 1228, 1150, 938, 935, 1678, 1608, 1829, 822, 1204, 1187, 948, 173, 1744, 524, 1033, 1237, 1240, 71, 1075, 1144, 303, 1823, 1001, 1718, 813, 1324, 1106, 113, 1403, 1467, 1103, 1481, 1049, 586, 1121, 1112, 1211, 1658, 971, 1495, 1408, 1003, 1033, 229, 247, 1380, 971, 1826, 859, 42, 1104, 1486, 1181, 966, 647, 123, 286, 1581, 1792, 1447, 1778, 213, 46, 1671, 579, 477, 577, 104, 1030, 388, 1620, 335, 1431, 843, 1394, 1300, 1129, 1278, 847, 126, 1027, 714, 1661, 714, 1808, 1395, 230, 1528, 1744, 887, 721, 1437, 1184, 236, 260, 1711, 173, 1224, 393, 699, 430, 524, 1484, 162, 1042, 892, 1217, 1127, 818, 1241, 1257, 1438, 1350, 646, 1147, 926, 1277, 208, 1735, 642, 579, 1630, 412, 1716, 955, 1247, 1048, 794, 1406, 86, 512, 127, 150, 1022, 1412, 1281, 700, 744, 646, 1106, 693, 1421, 549, 1624, 1685, 1817, 1063, 1830, 589, 1620, 315, 1075, 1103, 104, 502, 1133, 277, 1637, 1584, 1470, 362, 1513, 122, 1166, 1061, 231, 1361, 777, 1177, 1222, 137, 678, 1484, 1320, 1280, 1742, 1810, 1668, 1411, 714, 989, 46, 0, 701, 175, 1356, 1222, 1259, 1194, 79, 113, 1008, 947, 446, 184, 1660, 890, 882, 46, 870, 1278, 1677, 1668, 1741, 1717, 1099, 1175, 1414, 1193, 637, 214, 1021, 1312, 1528, 1431, 687, 1386, 110, 1228, 1048, 1830, 1239, 845, 1434, 1678, 1205, 1711, 1735, 897, 1669, 456, 1548, 959, 834, 229, 158, 1576, 941, 214, 1023, 657, 1497, 905, 134, 1033, 655, 905, 1043, 188, 1556, 1793, 1096, 1329, 1805, 1306, 1450, 1704, 1329, 1646, 1205, 943, 1821, 1099, 1476, 891, 1292, 1418, 548, 661, 963, 275, 918, 174, 460, 1297, 1361, 1202, 1429, 115, 1087, 1160, 25, 260, 1053, 777, 1678, 834, 1408, 599, 575, 1746, 713, 520, 1409, 399, 197, 333, 52, 782, 213, 407, 493, 198, 333, 519, 934, 1432, 725, 269, 1283, 1326, 556, 203, 1436, 1560, 1674, 1691, 1722, 1119, 1230, 997, 315, 1491, 1640, 117, 1236, 1106, 772, 188, 964, 1298, 1410, 790, 1753, 901, 1342, 1320, 18, 1611, 1087, 422, 991, 51, 940, 660, 475, 113, 52, 699, 390, 367, 809, 841, 1161, 1204, 138, 222, 42, 870, 116, 1683, 648, 536, 1379, 57, 1469, 844, 877, 634, 768, 546, 46, 844, 1375, 1296, 1668, 1370, 1710, 1305, 636, 1826, 1128, 895, 1504, 649, 1475, 548, 691, 1260, 334, 1244, 486, 785, 1142, 149, 876, 752, 865, 112, 1800, 440, 615, 1687, 1744, 1816, 1082, 1500, 1668, 26, 1821, 495, 1711, 1202, 1228, 1719, 1438, 399, 1758, 1422, 780, 1196, 202, 1656, 315, 1295, 213, 191, 870, 1069, 69, 830, 658, 1473, 1534, 50, 1323, 1312, 637, 1298, 1511, 1004, 748, 1797, 1819, 1025, 639, 1646, 1434, 22, 1738, 1215, 1611, 1318, 95, 576, 1825, 1088, 297, 1831, 372, 48, 778, 628, 1035, 587, 1614, 973, 677, 616, 1528, 1670, 1673, 69, 1470, 448, 822, 1638, 1526, 26, 1323, 1166, 1727, 461, 1465, 806, 1215, 961, 1261, 830, 1350, 1518, 1740, 1665, 1431, 188, 664, 1653, 1008, 1109, 1300, 1650, 18, 384, 640, 6, 1364, 938, 1005, 991, 639, 128, 1369, 512, 1778, 923, 1476, 1045, 1116, 53, 1511, 1197, 270, 324, 1201, 1001, 380, 1156, 651, 809, 1280, 651, 80, 113, 1792, 978, 205, 1154, 1427, 682, 1390, 1281, 756, 17, 940, 1217, 712, 864, 1528, 1598, 183, 510, 362, 448, 1476, 1451, 1549, 1458, 1617, 1609, 724, 1546, 1737, 541, 886, 1305, 93, 561, 783, 837, 361, 1532, 1257, 1651, 841, 1167, 1410, 408, 1484, 826, 95, 595, 1473, 1804, 498, 1706, 1831, 1226, 1328, 498, 723, 277, 1424, 309, 1162, 107, 1309, 569, 1125, 1193, 917, 1426, 830, 1277, 1790, 1268, 887, 1211, 215, 1526, 665, 955, 371, 977, 128, 1208, 1372, 300, 1493, 1794, 1511, 490, 1195, 1121, 1051, 1532, 1668, 1303, 28, 1079, 1036, 1637, 1489, 231, 1822, 1393, 788, 1421, 1349, 1681, 1421, 1120, 735, 516, 669, 1163, 1114, 301, 77, 1145, 1424, 1795, 53, 1697, 759, 1066, 483, 113, 1263, 665, 493, 937, 1422, 1109, 42, 1177, 684, 1118, 1486, 188, 929, 1328, 1704, 244, 165, 453, 219, 128011, 128001 ]
[ 128000, 128002, 53040, 1790, 682, 279, 25761, 656, 11, 1093, 1524, 279, 9333, 59432, 656, 11, 1093, 1070, 596, 53934, 42221, 13, 128003, 128005, 566, 534, 301, 785, 1675, 886, 639, 1758, 1034, 1823, 1117, 1364, 1404, 1647, 992, 79, 894, 87, 1545, 87, 1610, 657, 687, 748, 592, 1384, 1502, 49, 1427, 191, 46, 889, 987, 870, 1221, 98, 1337, 1295, 1078, 321, 1252, 1088, 1135, 367, 184, 1074, 1308, 815, 239, 882, 870, 714, 1758, 1726, 1726, 1378, 1462, 977, 1596, 880, 836, 609, 424, 1488, 1173, 660, 1340, 260, 1768, 339, 738, 1596, 909, 1725, 1803, 361, 1806, 83, 1667, 1409, 734, 42, 832, 1556, 848, 1718, 1535, 1691, 1475, 1192, 1391, 105, 1802, 847, 1437, 656, 1463, 1345, 1459, 1372, 1, 1526, 1382, 1590, 1015, 54, 1368, 1600, 1618, 1387, 46, 1568, 6, 1400, 1258, 1451, 679, 47, 899, 303, 1633, 1222, 113, 1621, 1001, 388, 27, 789, 866, 792, 1756, 943, 1418, 1607, 1315, 533, 519, 98, 1568, 454, 644, 1510, 1604, 1025, 1436, 394, 743, 806, 1697, 430, 716, 362, 1249, 1088, 1048, 863, 807, 1370, 1249, 1350, 925, 1708, 911, 1697, 1364, 1581, 1240, 1242, 969, 867, 1280, 1518, 1346, 29, 694, 966, 1290, 1252, 1366, 950, 134, 691, 1133, 1070, 869, 163, 950, 1096, 163, 685, 1158, 672, 1436, 516, 1214, 1770, 717, 1024, 1123, 1128, 1322, 651, 1348, 572, 762, 1688, 1639, 541, 714, 701, 46, 362, 884, 67, 1476, 556, 782, 1565, 1649, 1382, 376, 615, 1717, 1429, 408, 557, 1816, 699, 1152, 386, 611, 1460, 1140, 1677, 294, 1558, 497, 1542, 19, 622, 1410, 647, 1426, 1367, 983, 1426, 1475, 57, 1309, 1192, 9, 1046, 74, 1232, 149, 36, 700, 563, 913, 755, 60, 338, 1040, 1324, 1099, 1208, 937, 1104, 173, 1227, 1107, 155, 571, 1038, 1047, 1790, 355, 586, 1391, 1185, 231, 1187, 1360, 628, 749, 381, 628, 820, 1295, 1337, 1464, 1709, 1217, 1778, 1387, 1002, 1756, 1527, 1421, 426, 507, 1681, 1439, 1292, 972, 344, 1590, 388, 692, 1308, 529, 594, 856, 1763, 1103, 63, 1003, 907, 756, 1165, 1155, 380, 1714, 970, 324, 1638, 91, 1229, 1693, 562, 1227, 717, 1144, 1270, 1328, 42, 521, 22, 921, 364, 1713, 449, 57, 1786, 1725, 362, 320, 1653, 634, 1351, 1812, 1450, 1829, 1715, 1646, 1199, 660, 1337, 977, 1326, 1203, 466, 1125, 1046, 65, 1197, 735, 422, 1556, 1445, 519, 286, 1364, 276, 1395, 1175, 1403, 1359, 1678, 1654, 1500, 1800, 1232, 1497, 1658, 983, 1583, 1209, 1331, 1761, 1252, 1164, 1435, 1477, 758, 1736, 176, 648, 1549, 10, 639, 634, 493, 1818, 344, 1687, 1717, 1592, 1719, 1722, 1621, 795, 165, 156, 453, 244, 128011, 128001 ]
[ 128000, 128002, 24220, 11, 568, 596, 2751, 264, 22733, 323, 568, 596, 2751, 1093, 264, 44229, 295, 3245, 709, 1618, 13, 358, 1541, 956, 1440, 1148, 596, 2133, 389, 1314, 1070, 13, 3011, 596, 2555, 358, 3077, 2646, 2216, 3970, 1603, 11, 719, 430, 596, 264, 22733, 13, 4427, 13678, 301, 65172, 1903, 304, 5734, 13, 27687, 13, 128003, 128005, 584, 259, 869, 873, 1272, 1653, 1651, 1363, 125, 1357, 137, 943, 372, 138, 818, 1426, 371, 1468, 1431, 1029, 48, 1436, 1351, 1723, 1355, 1076, 717, 1064, 531, 981, 1079, 1289, 1465, 585, 1065, 712, 301, 1114, 465, 1007, 1719, 1273, 751, 1244, 676, 923, 561, 939, 1669, 1693, 651, 584, 724, 1780, 1742, 980, 1415, 1243, 636, 448, 920, 713, 6, 1312, 1818, 1160, 718, 682, 1147, 1216, 604, 93, 217, 1399, 1264, 604, 695, 1445, 1364, 753, 175, 137, 870, 50, 407, 1027, 69, 1287, 400, 780, 1809, 493, 1688, 1120, 1342, 1760, 806, 843, 1164, 1624, 217, 482, 1225, 1528, 756, 488, 1138, 821, 1521, 488, 647, 1035, 1821, 123, 48, 1219, 1214, 1463, 310, 1458, 1827, 835, 751, 732, 437, 866, 1063, 169, 1185, 229, 824, 1293, 971, 1338, 762, 1185, 950, 933, 967, 435, 548, 1079, 1059, 1044, 1290, 1237, 1719, 639, 803, 1536, 1755, 716, 888, 1588, 607, 1327, 1518, 1341, 654, 15, 1709, 6, 1468, 1565, 867, 1079, 1162, 989, 664, 214, 736, 956, 991, 901, 306, 1047, 157, 977, 1040, 446, 983, 870, 1124, 1483, 1726, 1274, 1043, 1541, 717, 1668, 873, 1407, 580, 1039, 386, 1525, 665, 1453, 780, 877, 1519, 1775, 338, 1496, 1130, 1199, 648, 1052, 1296, 1408, 969, 750, 1272, 1470, 1023, 868, 1565, 1506, 1308, 139, 1093, 1199, 89, 828, 674, 1310, 706, 701, 614, 1268, 927, 629, 1536, 1712, 776, 1034, 105, 1289, 849, 614, 1706, 1524, 530, 563, 1033, 984, 1565, 416, 1517, 1161, 910, 1035, 1382, 917, 821, 1772, 617, 1050, 887, 1227, 715, 617, 1687, 1530, 1764, 1411, 1831, 1306, 1290, 916, 1397, 1104, 965, 1004, 909, 1134, 973, 1656, 1253, 1304, 1226, 302, 1716, 1651, 302, 913, 1556, 1519, 312, 1464, 1450, 1350, 1081, 1701, 626, 1642, 1263, 1401, 776, 158, 1003, 322, 856, 31, 1406, 1493, 566, 853, 1487, 1017, 529, 1124, 286, 1234, 1345, 716, 1685, 1661, 1777, 129, 320, 1411, 202, 1799, 1164, 28, 1481, 1111, 1458, 955, 1312, 175, 926, 1313, 910, 1648, 1308, 779, 719, 909, 1795, 798, 1682, 1647, 1150, 1036, 1042, 1275, 1040, 225, 1665, 269, 869, 934, 862, 910, 1741, 941, 1031, 326, 1322, 678, 1511, 1816, 1069, 933, 60, 1739, 1734, 1385, 996, 1210, 863, 757, 333, 1253, 1311, 637, 1739, 1526, 79, 624, 1136, 1486, 1041, 359, 1175, 221, 1632, 825, 1057, 1545, 1762, 1468, 895, 1342, 132, 1476, 399, 1027, 1631, 333, 1510, 1205, 1627, 1648, 1164, 1600, 1033, 1082, 1809, 1495, 1287, 799, 1036, 1781, 869, 1002, 1007, 1448, 1524, 727, 1495, 933, 693, 418, 516, 247, 1691, 896, 554, 1616, 1669, 1830, 9, 1397, 779, 1405, 662, 1405, 1446, 1787, 1664, 1454, 1051, 1086, 661, 757, 1002, 1106, 1312, 1240, 417, 671, 1511, 458, 983, 1118, 1212, 590, 793, 798, 1752, 444, 1489, 751, 779, 445, 302, 168, 757, 707, 988, 1726, 132, 908, 1013, 202, 1426, 355, 864, 1085, 1339, 26, 510, 1349, 129, 1403, 546, 409, 1568, 10, 546, 1391, 1027, 374, 1740, 884, 1340, 1081, 821, 1596, 1048, 527, 703, 823, 1019, 1589, 897, 1651, 653, 1726, 1765, 1554, 1583, 1724, 1611, 1283, 1632, 1666, 1704, 818, 1267, 638, 105, 676, 965, 924, 718, 1186, 60, 783, 1784, 35, 526, 1276, 1112, 1738, 977, 110, 1763, 307, 169, 964, 732, 1397, 1191, 1426, 1173, 1042, 790, 1132, 1047, 1031, 1686, 1026, 1770, 1756, 1313, 298, 1447, 1799, 1147, 1013, 1552, 502, 333, 202, 22, 26, 409, 1687, 10, 1436, 1495, 62, 1543, 895, 1748, 1589, 1306, 1326, 970, 1457, 481, 816, 325, 9, 1535, 1445, 55, 754, 790, 652, 1102, 1733, 733, 798, 649, 1093, 1770, 807, 431, 728, 338, 869, 250, 799, 1319, 905, 1480, 659, 727, 686, 534, 627, 1538, 169, 1037, 561, 229, 1430, 627, 1144, 1528, 523, 924, 1255, 1137, 719, 1623, 1668, 636, 923, 885, 707, 259, 793, 1106, 378, 1120, 259, 1343, 1570, 693, 669, 680, 1121, 786, 727, 986, 986, 717, 257, 567, 423, 1617, 888, 432, 749, 1637, 554, 1667, 1227, 1404, 41, 1732, 625, 969, 1707, 32, 969, 1721, 1311, 868, 1418, 1406, 1747, 1626, 1565, 202, 1337, 1476, 1287, 1418, 1393, 1309, 610, 1276, 610, 1800, 1127, 1357, 1127, 1471, 203, 1456, 41, 876, 1128, 653, 1404, 987, 1558, 684, 1459, 660, 1799, 521, 1112, 370, 1052, 1110, 1572, 467, 160, 1456, 1414, 272, 1036, 767, 1307, 1807, 1088, 520, 1510, 1422, 1336, 26, 807, 896, 876, 1771, 176, 945, 415, 428, 1691, 415, 1798, 1669, 1758, 1688, 1396, 1544, 686, 797, 1228, 1402, 508, 544, 1237, 319, 458, 983, 22, 486, 303, 1797, 832, 1670, 1596, 612, 987, 1701, 1768, 1715, 1061, 1799, 1450, 962, 1391, 62, 1450, 1583, 253, 1739, 1200, 364, 907, 1078, 1160, 291, 1300, 806, 1427, 70, 1324, 1620, 1743, 803, 1831, 183, 1324, 871, 1415, 848, 1076, 874, 1219, 1810, 1827, 91, 242, 1193, 396, 1211, 594, 651, 1705, 469, 1658, 591, 266, 758, 986, 923, 85, 301, 627, 16, 1071, 766, 257, 681, 975, 680, 624, 257, 513, 862, 377, 378, 975, 680, 923, 1242, 334, 513, 1011, 630, 1144, 505, 378, 1595, 287, 513, 1242, 378, 1233, 641, 717, 1474, 712, 516, 1362, 601, 805, 1474, 378, 1614, 1338, 651, 1609, 680, 751, 1538, 378, 1419, 1536, 717, 1474, 762, 516, 686, 680, 923, 505, 651, 710, 692, 651, 505, 799, 735, 704, 712, 1383, 404, 1667, 350, 1250, 634, 507, 1642, 1283, 713, 1600, 507, 1600, 546, 154, 895, 507, 344, 1600, 103, 1681, 546, 1222, 1735, 972, 1676, 1799, 775, 1684, 1780, 1662, 1346, 41, 1473, 566, 721, 1796, 1048, 1470, 1740, 388, 1512, 13, 786, 836, 554, 1427, 26, 1488, 510, 1689, 479, 625, 587, 1512, 110, 786, 695, 1085, 269, 1644, 1655, 1294, 34, 1667, 183, 129, 1422, 18, 1403, 1432, 863, 1434, 1436, 231, 1476, 546, 337, 165, 219, 244, 128011, 128001 ]
[ 128000, 128002, 56372, 11, 358, 65302, 709, 279, 2047, 7218, 2736, 13, 358, 1071, 358, 5828, 956, 2133, 311, 13, 2684, 584, 733, 13, 24118, 78, 13, 128003, 128005, 496, 450, 916, 1658, 274, 1252, 1558, 1336, 803, 1248, 377, 1006, 1643, 121, 1642, 541, 1730, 38, 788, 1292, 1173, 1124, 1638, 1030, 1475, 1125, 1492, 1267, 28, 807, 1343, 966, 160, 701, 617, 1176, 755, 1304, 1098, 997, 1651, 1427, 1370, 1069, 1734, 320, 362, 230, 298, 117, 415, 1035, 1307, 1735, 552, 1731, 1221, 1645, 1829, 1619, 1553, 1822, 85, 1632, 1583, 1307, 1013, 678, 696, 1381, 1010, 776, 89, 772, 1052, 680, 976, 908, 1065, 1226, 709, 1732, 171, 60, 563, 953, 643, 1322, 1193, 1830, 797, 1392, 1611, 1260, 1490, 1645, 1189, 301, 937, 1437, 1003, 705, 1739, 523, 1102, 1382, 752, 1106, 1494, 1102, 1121, 908, 1022, 1505, 405, 1210, 966, 1121, 1150, 1078, 918, 829, 1324, 144, 798, 1553, 89, 708, 1809, 1378, 868, 1751, 1304, 664, 1570, 1501, 1519, 1689, 1280, 820, 1417, 1057, 1323, 1290, 1506, 1802, 707, 893, 459, 923, 174, 1128, 396, 1007, 257, 1071, 659, 696, 1092, 387, 584, 1144, 1478, 970, 651, 534, 1052, 1164, 1526, 1414, 1354, 1610, 1527, 26, 1451, 154, 1363, 333, 6, 333, 398, 1546, 1260, 977, 1795, 1190, 1278, 92, 269, 1445, 913, 1671, 1395, 1208, 153, 158, 1267, 1367, 826, 1732, 629, 145, 578, 1435, 214, 987, 1322, 1739, 1482, 1560, 1546, 1027, 1732, 127, 98, 959, 1021, 1137, 1213, 1518, 1540, 748, 1738, 1067, 1271, 108, 644, 835, 1043, 405, 1517, 1445, 623, 1311, 1168, 681, 1485, 310, 953, 707, 1704, 615, 1548, 399, 1678, 448, 230, 838, 1432, 1532, 783, 1007, 1283, 653, 1215, 615, 957, 1769, 850, 1011, 396, 174, 766, 1092, 845, 758, 601, 566, 928, 1622, 1667, 86, 1414, 1661, 729, 1264, 59, 1000, 672, 912, 1505, 692, 992, 640, 1548, 449, 1799, 437, 1438, 242, 894, 1079, 1716, 1219, 1333, 1635, 1219, 1079, 564, 131, 1043, 832, 712, 1294, 1352, 257, 712, 751, 704, 971, 1293, 676, 971, 933, 676, 651, 1242, 1142, 1796, 1514, 717, 1614, 933, 751, 1569, 651, 274, 785, 378, 325, 744, 627, 16, 1016, 895, 1552, 1268, 1064, 1614, 1123, 1120, 1425, 869, 1589, 832, 1168, 1789, 832, 1665, 761, 1181, 928, 735, 1360, 1771, 1311, 1348, 1480, 1684, 465, 1010, 1465, 1151, 923, 686, 824, 971, 1458, 1381, 1123, 1432, 761, 1099, 730, 1199, 1027, 214, 1274, 1313, 1540, 1753, 1241, 1773, 1476, 1476, 1223, 1035, 1600, 1565, 454, 1201, 1192, 1407, 1136, 1429, 1259, 1187, 1278, 639, 1472, 1205, 1682, 1731, 1448, 805, 516, 1039, 416, 719, 1492, 1437, 1124, 510, 1542, 1307, 1282, 642, 1192, 719, 1498, 1328, 1829, 1124, 1481, 1812, 1013, 1279, 702, 1381, 1128, 1504, 1305, 185, 165, 453, 244, 128011, 128001 ]
[ 128000, 128002, 4516, 568, 596, 2751, 5128, 1790, 279, 4839, 1890, 6308, 2683, 323, 98785, 13, 1472, 1440, 11, 3411, 520, 2225, 315, 1124, 1314, 1022, 279, 16120, 1618, 11, 37080, 49422, 706, 813, 3776, 19689, 13, 15341, 1101, 3169, 315, 706, 430, 11, 719, 433, 596, 1120, 1648, 9333, 1606, 568, 3250, 956, 617, 1790, 315, 264, 19689, 311, 3240, 449, 13, 2030, 814, 617, 279, 1890, 1654, 278, 1070, 389, 872, 45526, 13, 2435, 2751, 430, 1890, 6307, 49104, 291, 2145, 269, 13, 128003, 128005, 938, 1071, 1064, 555, 405, 620, 585, 1007, 1543, 984, 1162, 482, 431, 626, 1648, 756, 1299, 903, 1570, 864, 1302, 931, 1386, 57, 316, 552, 745, 828, 1231, 1759, 60, 772, 981, 1076, 599, 639, 1468, 605, 1807, 1061, 1475, 782, 439, 1255, 399, 611, 689, 834, 1814, 549, 1013, 1802, 756, 852, 1252, 1300, 86, 969, 669, 1564, 678, 799, 1444, 1412, 1650, 1740, 1, 1823, 858, 1, 1429, 308, 1370, 1424, 579, 93, 1263, 1125, 53, 1129, 1119, 65, 339, 1193, 642, 764, 1330, 1803, 1072, 1087, 1682, 1124, 1152, 1254, 1277, 1556, 1005, 1688, 714, 870, 1527, 67, 1797, 117, 1476, 1751, 736, 1573, 1405, 1660, 1419, 1432, 1532, 751, 1036, 1818, 964, 1342, 1185, 1589, 1434, 1277, 1730, 1658, 555, 1707, 585, 928, 231, 1383, 166, 1329, 1051, 1202, 560, 29, 500, 217, 425, 1766, 1193, 1196, 249, 443, 503, 995, 1649, 834, 126, 1662, 746, 1501, 1787, 1624, 1811, 399, 502, 1624, 166, 1439, 1104, 1183, 697, 730, 695, 135, 1072, 887, 93, 73, 882, 1369, 1079, 1220, 1218, 1003, 1333, 1063, 1108, 1419, 1820, 595, 1786, 1393, 1289, 1126, 443, 1352, 181, 197, 923, 181, 1093, 0, 898, 1018, 1257, 230, 1150, 1690, 461, 961, 983, 132, 1534, 1788, 1041, 519, 749, 428, 1691, 328, 1278, 1047, 297, 1332, 846, 1241, 341, 533, 1748, 1093, 28, 428, 362, 6, 1457, 1283, 154, 1436, 1087, 872, 991, 110, 300, 1194, 81, 1177, 25, 1107, 358, 657, 1457, 1812, 1686, 1178, 648, 400, 315, 1018, 18, 1376, 1229, 1002, 1237, 1426, 398, 1240, 203, 990, 775, 1824, 648, 385, 1091, 615, 1802, 1643, 1658, 1411, 1282, 1077, 1810, 558, 705, 507, 996, 1681, 192, 1270, 1493, 1061, 1058, 1695, 0, 1753, 202, 328, 1583, 1053, 1140, 1324, 535, 491, 1364, 147, 1611, 106, 979, 105, 1808, 1423, 752, 1043, 1314, 1150, 1024, 1493, 1004, 75, 983, 1752, 91, 653, 1549, 1778, 176, 328, 1486, 1061, 1056, 91, 1287, 178, 1444, 1657, 1669, 1251, 884, 1214, 1714, 1129, 1232, 282, 456, 454, 306, 1173, 524, 210, 1801, 164, 991, 191, 1457, 816, 1136, 1785, 836, 416, 577, 1364, 384, 639, 1665, 1682, 1421, 1638, 1741, 1668, 1082, 1806, 1170, 1034, 1504, 1094, 1682, 1730, 1175, 1505, 1343, 1303, 971, 1327, 1480, 939, 888, 795, 1317, 1720, 1078, 738, 1532, 1083, 1823, 621, 1737, 411, 1570, 695, 355, 1053, 575, 1769, 1002, 815, 1730, 736, 1797, 1256, 1197, 1331, 18, 217, 1581, 878, 1460, 742, 1496, 1286, 1804, 927, 1356, 393, 1309, 142, 1292, 142, 1735, 95, 1802, 1314, 598, 1099, 1227, 1103, 1064, 1112, 1038, 1305, 1408, 1730, 862, 1421, 660, 1464, 1374, 267, 1619, 892, 462, 1590, 1774, 864, 312, 1578, 1698, 1676, 495, 1022, 721, 1754, 1088, 125, 909, 1412, 1220, 93, 1546, 503, 459, 969, 91, 1331, 932, 1320, 898, 1223, 642, 883, 383, 497, 1353, 560, 708, 800, 9, 901, 742, 1748, 1511, 1765, 1097, 1293, 1121, 1119, 857, 575, 325, 1092, 663, 1145, 1291, 1029, 142, 1144, 422, 1170, 589, 461, 1051, 142, 1125, 660, 1403, 1492, 376, 1403, 1612, 1511, 1345, 1418, 1379, 1054, 456, 1039, 230, 120, 769, 738, 1195, 665, 1645, 803, 1024, 1339, 1038, 1225, 1697, 1766, 736, 1697, 767, 1711, 1735, 767, 1789, 1393, 636, 1663, 1099, 1478, 733, 578, 732, 680, 672, 735, 1648, 981, 1668, 1089, 1179, 1698, 105, 1688, 65, 1831, 356, 514, 817, 113, 363, 739, 439, 686, 1272, 144, 1716, 531, 1012, 520, 1829, 50, 789, 344, 1166, 738, 1250, 98, 1564, 154, 1516, 62, 1733, 689, 116, 1185, 581, 644, 231, 547, 1429, 402, 1304, 768, 1486, 158, 1549, 1366, 1027, 132, 848, 736, 1426, 1649, 1368, 1457, 1782, 286, 767, 756, 1270, 1166, 1740, 1228, 1815, 1033, 1145, 1648, 1748, 782, 58, 1750, 297, 1801, 965, 1272, 271, 1095, 756, 370, 424, 1178, 1066, 147, 1195, 115, 1212, 800, 813, 1411, 1444, 744, 1254, 1213, 869, 1790, 1055, 1510, 1004, 481, 4, 455, 1611, 985, 961, 182, 876, 1300, 1399, 779, 234, 217, 1757, 1296, 613, 1633, 158, 503, 1374, 1058, 701, 711, 848, 190, 384, 230, 407, 1752, 736, 1734, 1707, 1018, 1821, 1393, 1349, 1421, 1370, 1701, 1668, 1687, 1704, 1418, 1510, 751, 885, 1305, 1268, 1296, 312, 1554, 1485, 966, 181, 806, 138, 49, 1304, 1718, 22, 1796, 1261, 1186, 1200, 679, 934, 492, 1761, 115, 660, 1457, 339, 84, 1335, 956, 306, 138, 83, 1670, 1298, 1494, 848, 157, 448, 315, 844, 1487, 384, 1206, 425, 367, 920, 1828, 1431, 1339, 1817, 1073, 1807, 1410, 1318, 1102, 1351, 349, 1127, 972, 678, 1069, 1757, 368, 996, 1272, 931, 191, 1238, 1272, 1636, 1139, 1280, 1073, 892, 864, 759, 1075, 609, 794, 797, 768, 1161, 966, 1340, 787, 920, 6, 510, 749, 1563, 1778, 719, 977, 1295, 372, 498, 829, 725, 271, 789, 346, 248, 679, 979, 1497, 1735, 1298, 970, 459, 1658, 1677, 951, 1196, 1161, 569, 1576, 498, 1210, 858, 876, 1349, 1232, 388, 987, 485, 828, 1711, 117, 1700, 230, 1364, 519, 1, 1308, 1656, 886, 269, 4, 599, 298, 315, 1524, 1422, 28, 1817, 1431, 1765, 1744, 1605, 1626, 720, 1357, 1746, 1187, 479, 1533, 1389, 340, 1308, 1261, 713, 1235, 195, 1341, 1748, 549, 483, 50, 407, 1436, 213, 844, 454, 308, 1130, 1766, 1700, 1407, 753, 515, 1828, 1110, 1304, 864, 1087, 1804, 642, 116, 1823, 53, 909, 1075, 532, 1663, 1098, 491, 1464, 522, 557, 1098, 637, 1472, 364, 481, 1153, 1336, 469, 1410, 1809, 1074, 719, 1119, 1423, 1139, 616, 1688, 1618, 176, 129, 1485, 634, 767, 1229, 884, 1733, 848, 1828, 1715, 1644, 1605, 426, 911, 1201, 965, 1002, 660, 1584, 346, 907, 1311, 1340, 1439, 502, 1376, 320, 1485, 1337, 966, 1638, 945, 0, 1584, 1761, 1160, 58, 41, 650, 708, 1411, 565, 1488, 1259, 956, 1787, 609, 12, 787, 785, 158, 740, 395, 1707, 730, 1434, 411, 1682, 783, 1766, 1758, 1593, 870, 1379, 901, 356, 1637, 1110, 1041, 462, 837, 959, 1775, 1556, 792, 1358, 1421, 1150, 940, 1262, 1464, 903, 1628, 37, 1656, 1568, 91, 269, 704, 1444, 1518, 1068, 782, 809, 1351, 1389, 1167, 577, 1192, 1827, 961, 1228, 225, 1521, 564, 576, 241, 783, 418, 657, 1684, 759, 1025, 183, 858, 519, 38, 714, 1691, 124, 1788, 1290, 1024, 1260, 1226, 1295, 1616, 1616, 1750, 1747, 1749, 733, 726, 1131, 1773, 253, 1497, 1768, 1250, 1493, 426, 1509, 810, 724, 90, 584, 42, 895, 543, 1378, 1649, 1240, 520, 132, 1027, 977, 927, 1776, 1381, 1337, 455, 1515, 1826, 1260, 1188, 1186, 536, 529, 644, 656, 844, 926, 1287, 1369, 735, 1099, 988, 1185, 1121, 188, 1495, 1821, 1458, 1342, 1807, 1411, 1436, 1809, 943, 1646, 1556, 1139, 1556, 1104, 788, 1397, 1034, 1741, 1421, 1589, 121, 1114, 820, 900, 242, 1106, 490, 1164, 82, 1832, 1745, 145, 1228, 1358, 1271, 479, 1097, 848, 384, 1150, 753, 1320, 794, 1720, 66, 1668, 1701, 1475, 1711, 1186, 1786, 399, 319, 507, 315, 1342, 335, 6, 18, 1325, 797, 320, 903, 295, 1061, 1192, 335, 1310, 443, 1568, 1397, 1468, 483, 515, 1821, 821, 1729, 615, 34, 4, 1710, 10, 1083, 1654, 833, 1470, 48, 1578, 1035, 1593, 1660, 178, 1556, 1646, 1197, 1141, 581, 951, 128, 221, 1816, 1182, 411, 519, 1197, 411, 1350, 1710, 177, 1099, 1005, 475, 1460, 1098, 1119, 452, 214, 1268, 650, 730, 853, 1134, 1136, 853, 1153, 611, 1024, 395, 1480, 931, 744, 966, 872, 721, 924, 970, 402, 1403, 638, 791, 637, 1674, 1170, 1218, 1795, 1400, 1490, 1320, 1090, 339, 475, 650, 309, 88, 1178, 948, 446, 380, 102, 614, 524, 1135, 517, 53, 949, 1766, 1444, 1438, 1808, 1447, 714, 298, 1403, 592, 1364, 927, 863, 1665, 1403, 1641, 1632, 1631, 1322, 1316, 1091, 1118, 1036, 1500, 1421, 989, 1803, 1714, 117, 1071, 1230, 1037, 1123, 669, 1348, 735, 620, 627, 933, 1043, 1115, 1057, 887, 18, 1373, 1384, 543, 1402, 1814, 371, 1201, 1330, 208, 1410, 1093, 1324, 1689, 900, 1404, 1108, 1196, 764, 1051, 234, 371, 1181, 1030, 658, 1791, 1433, 1682, 1719, 1476, 409, 1370, 202, 863, 788, 50, 28, 9, 1484, 1082, 456, 507, 1261, 473, 384, 1813, 276, 1141, 507, 359, 1701, 595, 414, 768, 1694, 850, 637, 859, 95, 436, 158, 669, 615, 1694, 1706, 1289, 1088, 1541, 1391, 1804, 1155, 1176, 203, 1419, 1388, 1832, 941, 788, 617, 677, 57, 1406, 399, 607, 1571, 774, 363, 713, 55, 426, 1166, 835, 28, 593, 1359, 972, 1080, 1815, 90, 820, 1688, 1412, 213, 117, 1370, 911, 1418, 1462, 1210, 796, 657, 1548, 368, 317, 1644, 1712, 1728, 6, 1513, 1097, 1820, 277, 1440, 107, 1035, 921, 1767, 1565, 1384, 1830, 1783, 1464, 22, 1615, 1759, 1349, 1063, 1484, 373, 1422, 173, 1174, 215, 1247, 210, 1331, 186, 525, 1429, 347, 699, 200, 1018, 1165, 595, 508, 455, 1624, 407, 1387, 315, 1485, 1245, 759, 1620, 565, 249, 1102, 270, 1591, 1204, 440, 635, 1766, 1340, 1025, 1777, 1052, 967, 1803, 32, 1832, 128011, 128001 ]
[ 128000, 128002, 1548, 596, 2751, 430, 1890, 4839, 24914, 449, 15341, 596, 57827, 389, 433, 11, 779, 433, 3169, 315, 8111, 311, 757, 430, 15341, 574, 810, 315, 264, 6917, 315, 279, 1501, 1109, 2563, 1394, 258, 6, 37080, 574, 13, 128003, 128005, 1319, 824, 651, 1021, 1162, 1228, 990, 1668, 549, 1047, 1531, 398, 716, 1004, 1563, 719, 308, 1369, 519, 129, 1485, 6, 714, 1588, 527, 1003, 1162, 179, 664, 483, 366, 958, 609, 424, 182, 300, 53, 521, 76, 695, 714, 642, 1776, 1247, 1219, 1739, 1526, 676, 1797, 1223, 1232, 560, 1001, 132, 412, 1435, 604, 303, 1342, 1241, 532, 1565, 1755, 1782, 1337, 1296, 1018, 52, 493, 335, 315, 1139, 213, 231, 911, 198, 640, 454, 1232, 931, 969, 682, 812, 886, 36, 416, 454, 13, 1416, 849, 117, 376, 834, 962, 1153, 47, 510, 397, 949, 1059, 1065, 927, 397, 1655, 1532, 1526, 1766, 1718, 1328, 767, 1086, 1701, 1, 411, 1703, 895, 835, 1724, 175, 1460, 448, 183, 1451, 1287, 1470, 910, 640, 367, 1656, 452, 777, 808, 390, 1230, 81, 1317, 463, 359, 858, 1368, 1411, 1686, 1472, 1367, 32, 1193, 1120, 1112, 967, 1051, 114, 1028, 663, 810, 649, 761, 1106, 282, 1122, 191, 989, 1204, 254, 1140, 1138, 499, 1066, 901, 1328, 142, 1254, 221, 872, 1356, 146, 1391, 271, 610, 318, 1056, 907, 315, 787, 1663, 1726, 1723, 1287, 493, 1407, 440, 1766, 1351, 636, 1793, 1797, 1343, 1268, 999, 1807, 1489, 1034, 1465, 1134, 1375, 1123, 1050, 1096, 601, 1028, 905, 950, 704, 1003, 584, 387, 799, 1362, 1167, 1792, 1152, 1008, 287, 1019, 1807, 970, 110, 776, 107, 788, 1022, 1484, 181, 1150, 1483, 637, 1647, 1406, 609, 426, 1620, 1450, 1756, 1818, 736, 1716, 957, 1648, 1032, 1120, 1697, 862, 1014, 608, 617, 1359, 1670, 1266, 1272, 343, 576, 325, 1416, 763, 1549, 444, 928, 1516, 310, 1558, 1075, 1307, 69, 430, 497, 181, 57, 788, 1723, 1076, 1439, 1007, 1105, 714, 1342, 276, 592, 1018, 202, 1027, 1638, 634, 1748, 895, 1529, 1763, 1322, 1651, 1794, 448, 286, 4, 409, 1422, 440, 714, 1400, 315, 1310, 1139, 315, 1532, 62, 117, 1314, 412, 557, 197, 388, 1022, 286, 829, 1482, 79, 1008, 1661, 1204, 1726, 479, 491, 1612, 1214, 424, 481, 1786, 662, 85, 424, 1155, 827, 880, 138, 277, 1656, 1156, 400, 1509, 1014, 1742, 1685, 1436, 52, 1235, 1147, 1811, 1809, 1783, 971, 1162, 1204, 1133, 1042, 1351, 361, 1378, 944, 783, 1477, 1073, 876, 1210, 1253, 1468, 616, 1147, 1710, 1404, 774, 1019, 1342, 806, 1496, 1221, 1798, 757, 793, 1221, 959, 1451, 385, 1711, 1679, 1524, 183, 546, 22, 448, 1349, 884, 1027, 1361, 13, 1058, 368, 1087, 1212, 388, 977, 376, 1437, 771, 1300, 974, 648, 616, 714, 1409, 1189, 1337, 1764, 1158, 1770, 1251, 1486, 1646, 1658, 1754, 939, 1504, 640, 1408, 1735, 344, 1425, 1313, 1510, 1504, 788, 1669, 1404, 533, 923, 495, 772, 396, 578, 1148, 967, 781, 86, 578, 1793, 1271, 996, 864, 1501, 687, 1047, 1774, 138, 1471, 277, 1245, 576, 1618, 1365, 1622, 1050, 142, 55, 183, 607, 1694, 1645, 1062, 1428, 1791, 1738, 1583, 1505, 1342, 1034, 1776, 619, 1766, 1502, 0, 109, 231, 1503, 617, 231, 1218, 1195, 1225, 1156, 30, 1452, 103, 315, 1470, 6, 1441, 938, 485, 1766, 303, 1821, 4, 703, 1250, 1460, 1491, 415, 629, 1829, 1573, 1077, 108, 1653, 1237, 1217, 1653, 134, 1390, 640, 93, 1030, 767, 809, 1422, 790, 1047, 556, 1431, 954, 1345, 428, 60, 1682, 154, 1584, 807, 1754, 1061, 1625, 251, 1492, 1383, 1472, 1709, 90, 1667, 1633, 983, 319, 858, 1333, 2, 1764, 768, 1814, 65, 18, 660, 1247, 725, 783, 746, 1757, 1026, 743, 1746, 1716, 328, 1803, 1282, 1270, 42, 719, 1037, 1071, 924, 971, 967, 852, 523, 1329, 1717, 1114, 1034, 1419, 1495, 1631, 1478, 719, 1474, 1373, 1255, 1123, 612, 242, 229, 585, 861, 1149, 1138, 1711, 629, 1228, 836, 1469, 848, 1729, 298, 510, 1773, 1568, 1155, 1035, 787, 1569, 1345, 1249, 1642, 1401, 856, 952, 439, 1605, 1501, 737, 1460, 662, 1192, 890, 1378, 1005, 1720, 511, 1426, 818, 1830, 1460, 815, 1788, 1698, 1055, 1082, 552, 1513, 940, 1813, 592, 946, 990, 828, 1802, 1217, 1676, 230, 848, 1496, 315, 1476, 1139, 315, 1057, 202, 1238, 1035, 1363, 786, 865, 1797, 622, 1630, 1105, 477, 74, 1489, 841, 267, 1452, 1129, 622, 1278, 1200, 1122, 51, 770, 19, 1457, 613, 1758, 756, 583, 1411, 703, 1833, 1804, 1006, 1328, 1346, 1780, 1022, 406, 13, 1470, 32, 1004, 1215, 1715, 328, 176, 1399, 713, 1797, 1410, 919, 1306, 1, 1583, 1111, 1113, 1823, 973, 500, 456, 1745, 1370, 352, 946, 1519, 456, 1627, 252, 1668, 184, 671, 1639, 1464, 1704, 816, 1205, 657, 0, 1625, 1392, 1214, 1584, 678, 551, 1409, 1344, 457, 1081, 1685, 121, 862, 1500, 708, 1467, 1534, 48, 464, 1093, 1414, 776, 787, 630, 550, 805, 65, 905, 132, 1052, 103, 607, 1290, 29, 921, 399, 877, 1513, 1296, 183, 409, 1441, 1437, 1375, 376, 1505, 1217, 1520, 1325, 1702, 1258, 1524, 1472, 1818, 1604, 1277, 1205, 1775, 681, 1128, 988, 691, 1026, 1341, 144, 830, 1694, 1815, 1330, 486, 1409, 1659, 1112, 123, 971, 864, 685, 937, 554, 910, 930, 124, 425, 1811, 602, 1656, 587, 546, 856, 1109, 1290, 1409, 807, 1798, 177, 1396, 785, 1251, 1084, 1076, 259, 116, 1663, 655, 158, 1437, 1148, 806, 79, 1656, 1213, 412, 860, 42, 926, 2, 1699, 718, 1479, 1221, 1068, 1549, 844, 1653, 129, 1300, 1513, 315, 1556, 636, 1818, 1405, 176, 1637, 68, 165, 219, 244, 244, 167, 128011, 128001 ]
[ 128000, 128002, 62012, 814, 1511, 1461, 13, 4800, 37080, 2744, 1047, 420, 2697, 43081, 11, 499, 1440, 11, 7366, 4668, 1405, 568, 1053, 617, 420, 3169, 315, 1093, 59207, 477, 21939, 9903, 11, 1093, 53251, 4661, 13, 128003, 128005, 1411, 654, 735, 793, 1202, 1517, 1113, 1466, 1454, 128, 1661, 735, 1661, 183, 1718, 865, 183, 1794, 1120, 1477, 13, 1035, 1357, 384, 1524, 1092, 1542, 1091, 1388, 1645, 990, 1791, 714, 37, 1138, 842, 1501, 788, 363, 700, 1418, 1624, 50, 1651, 1085, 362, 1479, 485, 1447, 1205, 231, 1770, 1430, 1361, 1347, 400, 225, 1250, 944, 1295, 943, 1280, 768, 1305, 628, 658, 1464, 1152, 346, 1617, 843, 459, 979, 615, 134, 1205, 1664, 481, 1749, 1548, 229, 1343, 1227, 869, 1225, 693, 1379, 1741, 891, 750, 627, 1430, 1215, 1144, 1021, 1011, 1003, 1634, 438, 735, 766, 624, 1418, 1628, 1455, 1235, 1031, 83, 1375, 142, 1735, 147, 1059, 102, 1002, 477, 1500, 352, 1596, 480, 1532, 828, 272, 1172, 1133, 1781, 870, 1045, 1727, 1232, 158, 74, 575, 1633, 517, 1265, 190, 834, 79, 47, 455, 175, 1422, 1165, 1382, 524, 443, 1502, 1197, 212, 491, 1772, 874, 88, 116, 1810, 1165, 774, 508, 397, 1008, 1024, 919, 158, 1629, 1, 890, 1441, 195, 519, 1018, 631, 1397, 1040, 1169, 679, 430, 88, 1814, 463, 159, 1711, 164, 730, 372, 632, 1382, 349, 515, 1583, 1019, 171, 1134, 1645, 1379, 388, 588, 1215, 637, 536, 1451, 1533, 1521, 213, 52, 943, 46, 870, 398, 1552, 1156, 1758, 1646, 110, 116, 1702, 958, 730, 348, 532, 1614, 386, 1115, 508, 1245, 1089, 1186, 455, 231, 1274, 967, 648, 1400, 543, 52, 1631, 198, 362, 1500, 741, 632, 1342, 370, 352, 767, 393, 41, 502, 945, 546, 104, 362, 315, 1161, 1638, 340, 1496, 782, 425, 1265, 1583, 1483, 234, 216, 857, 844, 617, 1772, 889, 720, 468, 658, 564, 817, 550, 1413, 889, 629, 677, 587, 1006, 1, 1635, 1542, 666, 1096, 1688, 1357, 468, 757, 785, 631, 898, 979, 361, 1314, 1341, 903, 64, 1086, 689, 1019, 1450, 355, 882, 963, 175, 747, 175, 389, 1687, 1723, 804, 863, 1352, 1738, 1180, 751, 467, 496, 864, 1623, 1468, 134, 1450, 1446, 1825, 18, 1248, 1329, 701, 1193, 1412, 356, 1507, 62, 1267, 802, 1335, 1719, 634, 1706, 6, 654, 1651, 11, 1583, 1140, 1170, 1441, 116, 1357, 636, 536, 1440, 1732, 78, 1030, 971, 1221, 120, 927, 217, 964, 146, 702, 1534, 560, 859, 1417, 1667, 987, 1675, 674, 550, 666, 809, 1024, 1444, 1609, 1337, 1471, 878, 386, 1788, 498, 359, 1002, 1200, 146, 1314, 660, 944, 1245, 474, 1153, 55, 1004, 486, 1014, 1254, 58, 1158, 1327, 1740, 1726, 1809, 569, 1734, 1392, 128, 795, 41, 388, 469, 467, 1450, 1491, 1678, 848, 1718, 399, 1139, 1436, 399, 1450, 493, 767, 495, 782, 1637, 1701, 344, 1707, 1510, 1585, 1360, 1510, 1233, 964, 1104, 984, 793, 1730, 516, 989, 516, 1292, 1649, 967, 1313, 1788, 1268, 1329, 1251, 924, 1230, 891, 1057, 1703, 1071, 885, 548, 460, 928, 891, 1652, 1151, 1010, 1614, 377, 627, 465, 950, 1418, 426, 1346, 686, 345, 1288, 666, 686, 1016, 975, 799, 1536, 509, 795, 928, 899, 799, 704, 1114, 1669, 1570, 939, 1614, 766, 751, 281, 1142, 957, 436, 1233, 1669, 377, 939, 465, 862, 1465, 1273, 136, 785, 820, 1655, 666, 257, 585, 1570, 692, 1536, 704, 751, 465, 762, 735, 928, 751, 1448, 1818, 19, 335, 1079, 1117, 991, 1282, 711, 536, 1720, 1423, 1505, 697, 805, 800, 974, 1088, 757, 1621, 1008, 1792, 1832, 1530, 1037, 1044, 1385, 82, 1076, 614, 128, 1043, 951, 128, 1826, 1063, 236, 1513, 733, 860, 1693, 562, 1486, 1309, 1106, 1061, 1424, 1525, 1130, 1133, 976, 1809, 1076, 1430, 449, 1284, 1130, 984, 750, 1195, 964, 833, 879, 1075, 295, 547, 49, 1196, 466, 190, 127, 318, 910, 1387, 1810, 1181, 1160, 1287, 1300, 263, 1761, 375, 599, 1320, 357, 1422, 1160, 780, 1397, 943, 685, 1489, 533, 1255, 1730, 1334, 957, 895, 838, 1385, 1128, 460, 1010, 1244, 1233, 1652, 1474, 751, 686, 824, 1652, 686, 591, 950, 928, 1648, 1474, 766, 1114, 1151, 861, 1465, 465, 691, 1585, 281, 274, 325, 345, 1011, 465, 795, 1011, 1242, 957, 1763, 584, 1142, 1338, 1655, 1525, 1244, 693, 978, 1227, 734, 257, 1045, 1063, 856, 986, 411, 696, 518, 1628, 613, 1782, 839, 127, 86, 321, 1465, 386, 1706, 1281, 192, 1655, 1192, 521, 1163, 992, 364, 830, 1733, 1166, 1709, 1320, 399, 1367, 719, 1634, 1305, 176, 1654, 1447, 335, 1483, 512, 1496, 1635, 1528, 799, 918, 1193, 635, 200, 856, 1216, 277, 491, 1814, 940, 545, 1734, 1004, 455, 1417, 1074, 1420, 13, 30, 1243, 1034, 1098, 1281, 1240, 1635, 989, 397, 1619, 1332, 1719, 860, 1186, 1261, 547, 514, 500, 909, 901, 1147, 1048, 1683, 1152, 1397, 714, 1788, 1681, 1169, 1455, 446, 514, 178, 777, 656, 1178, 1267, 858, 875, 1144, 1188, 188, 1069, 328, 1721, 1014, 67, 1612, 1466, 1803, 467, 350, 1318, 409, 725, 1635, 202, 1311, 398, 376, 1008, 1214, 685, 856, 856, 647, 1074, 1804, 1207, 1325, 1384, 1206, 92, 1008, 1245, 1022, 777, 1407, 1307, 1611, 1366, 48, 1670, 917, 1781, 1175, 1109, 848, 806, 41, 1415, 972, 1818, 1253, 1209, 1470, 1187, 95, 1340, 1598, 473, 384, 362, 213, 794, 1238, 320, 1519, 26, 863, 1528, 202, 1500, 989, 1436, 1305, 1546, 1644, 1430, 1364, 795, 165, 156, 244, 128011, 128001 ]
[ 128000, 128002, 2181, 596, 3169, 315, 2653, 311, 1518, 304, 1070, 13, 1102, 596, 264, 2697, 61218, 3201, 13, 3580, 422, 358, 649, 1456, 323, 6958, 433, 704, 1618, 13, 358, 1541, 956, 1440, 3249, 13, 29308, 11, 1070, 584, 733, 13, 3580, 422, 358, 649, 6958, 433, 704, 13, 22335, 11, 779, 499, 649, 6958, 433, 704, 1093, 430, 323, 433, 1587, 13334, 13, 2360, 11, 433, 3250, 956, 2216, 13334, 430, 1790, 11, 719, 13, 128003, 128005, 423, 561, 762, 1290, 1653, 1230, 543, 1214, 726, 1781, 772, 1009, 1165, 1113, 806, 725, 949, 1013, 847, 1109, 1265, 768, 576, 1826, 827, 1030, 587, 617, 1059, 969, 992, 833, 550, 1336, 1600, 748, 1628, 665, 1537, 502, 882, 502, 213, 320, 1061, 46, 1018, 253, 50, 1186, 495, 556, 514, 554, 286, 1607, 335, 302, 726, 158, 1360, 755, 1346, 412, 64, 1247, 843, 947, 576, 1303, 549, 718, 471, 839, 471, 411, 886, 1697, 949, 1563, 1676, 1364, 315, 1009, 1539, 966, 1402, 1827, 1477, 63, 116, 804, 1665, 260, 935, 1682, 629, 1641, 1326, 1285, 1767, 1348, 1422, 67, 0, 239, 1790, 1279, 1105, 82, 1611, 147, 600, 382, 1263, 1300, 615, 1652, 1216, 1032, 586, 1817, 1230, 782, 1333, 491, 1491, 1649, 803, 1791, 261, 898, 447, 675, 1822, 613, 502, 1102, 979, 1136, 79, 1691, 829, 822, 774, 1347, 549, 1186, 570, 813, 1286, 1375, 134, 1331, 1176, 1464, 1631, 1817, 1227, 950, 229, 1079, 1669, 1092, 1496, 1419, 924, 1450, 1118, 976, 1703, 751, 1360, 975, 1142, 928, 975, 799, 387, 762, 668, 404, 1699, 802, 1375, 669, 176, 1686, 1532, 779, 1021, 798, 1434, 1710, 1530, 1637, 1683, 1165, 1125, 721, 1034, 1708, 1629, 1359, 1274, 1164, 1361, 1136, 823, 1015, 426, 1463, 1819, 1266, 1488, 1639, 1266, 1675, 654, 1817, 581, 1600, 1227, 1194, 1282, 607, 1367, 521, 923, 441, 1160, 1251, 868, 1633, 785, 803, 1313, 1610, 1524, 1661, 169, 717, 1749, 1358, 1532, 1474, 1653, 1808, 1307, 1697, 260, 317, 1764, 883, 125, 727, 809, 805, 705, 1519, 1369, 1636, 763, 934, 1797, 524, 1471, 595, 1119, 412, 1316, 610, 755, 1738, 730, 1212, 1449, 860, 1413, 949, 636, 1497, 881, 730, 1215, 1460, 1209, 1082, 662, 1129, 1631, 610, 1309, 836, 1483, 1320, 1030, 1429, 1022, 1218, 1226, 1493, 876, 1448, 1406, 864, 766, 1149, 1462, 1406, 983, 1525, 1454, 1047, 624, 1060, 576, 223, 90, 1409, 31, 1103, 757, 378, 941, 1015, 971, 552, 1223, 887, 412, 42, 1100, 364, 1668, 1119, 179, 1279, 965, 609, 1735, 1490, 364, 1215, 1243, 1739, 1802, 1816, 1820, 1474, 1397, 1588, 1011, 1393, 1737, 1293, 1495, 265, 1137, 976, 199, 1279, 1639, 486, 1432, 585, 1003, 1146, 484, 976, 1108, 163, 837, 1071, 772, 1724, 832, 924, 1151, 693, 1016, 1319, 805, 1703, 862, 899, 281, 1233, 1293, 257, 845, 509, 986, 744, 851, 334, 984, 861, 843, 624, 1548, 804, 1505, 343, 1218, 1795, 59, 1263, 566, 813, 1824, 1218, 1004, 406, 628, 1637, 1384, 388, 1327, 1490, 1436, 1740, 776, 1448, 40, 1246, 995, 1187, 22, 1490, 1743, 1825, 855, 1134, 1488, 1475, 1755, 752, 1423, 1480, 974, 1050, 1294, 1357, 501, 307, 1120, 1796, 1045, 1798, 1321, 1210, 1832, 1780, 1517, 1443, 1265, 495, 1388, 1023, 1743, 216, 1128, 563, 594, 885, 149, 936, 1010, 490, 1514, 641, 735, 641, 762, 555, 20, 601, 257, 487, 603, 1338, 1233, 869, 1817, 1816, 1694, 1548, 1768, 666, 986, 712, 465, 627, 1244, 567, 680, 561, 513, 1288, 311, 601, 257, 561, 651, 417, 567, 1080, 417, 486, 1242, 692, 334, 765, 337, 641, 1362, 591, 975, 423, 751, 436, 824, 659, 1242, 555, 1536, 334, 54, 1512, 680, 273, 1600, 1327, 507, 1639, 1021, 865, 1716, 1291, 1039, 1330, 1433, 1383, 994, 717, 1621, 1593, 1250, 1699, 942, 459, 1155, 1304, 788, 1138, 837, 177, 1780, 1322, 1282, 1155, 1795, 1413, 1326, 1700, 1695, 502, 1376, 1712, 1694, 1781, 900, 820, 824, 486, 450, 681, 1319, 692, 548, 417, 601, 673, 311, 624, 1536, 1176, 1010, 1672, 975, 805, 766, 378, 986, 1242, 805, 1592, 566, 630, 417, 585, 1763, 1362, 981, 1536, 1242, 121, 1474, 538, 799, 704, 1003, 928, 387, 891, 1362, 534, 566, 975, 933, 1573, 1512, 585, 1570, 584, 1142, 975, 799, 1685, 1546, 485, 448, 1649, 1042, 1525, 492, 758, 757, 1543, 626, 1225, 1249, 1416, 391, 829, 1432, 610, 1366, 1222, 1272, 1254, 475, 1225, 589, 1776, 777, 1583, 477, 1677, 1202, 1353, 1494, 41, 719, 134, 1277, 1713, 1537, 1716, 17, 832, 1065, 1080, 978, 465, 891, 1213, 786, 1339, 1499, 1383, 530, 1721, 1570, 971, 686, 692, 971, 1242, 566, 624, 975, 712, 1390, 1302, 1142, 712, 509, 899, 1585, 710, 1360, 1302, 899, 1016, 509, 169, 151, 334, 673, 620, 712, 513, 151, 316, 641, 287, 624, 1244, 1151, 1652, 1696, 1474, 1623, 704, 1142, 257, 313, 601, 387, 287, 727, 781, 1570, 1181, 8, 601, 1665, 8, 717, 1334, 504, 1064, 677, 378, 1343, 8, 378, 694, 712, 1536, 686, 334, 766, 337, 603, 435, 445, 1677, 1334, 316, 799, 544, 601, 710, 377, 1465, 1592, 274, 438, 975, 624, 509, 762, 981, 694, 566, 1419, 1302, 939, 567, 762, 486, 16, 566, 566, 975, 651, 417, 567, 923, 1536, 247, 612, 141, 673, 1007, 584, 301, 387, 509, 534, 151, 1023, 1284, 692, 624, 496, 168, 534, 1570, 169, 624, 311, 513, 1578, 1693, 1291, 1688, 1263, 58, 454, 545, 1450, 1417, 1471, 1098, 1001, 1077, 1230, 1581, 1746, 1722, 1311, 902, 1318, 804, 1128, 37, 523, 869, 301, 1688, 1644, 570, 1571, 680, 1694, 16, 923, 691, 762, 603, 16, 967, 995, 676, 486, 704, 334, 1142, 465, 735, 975, 692, 486, 975, 762, 933, 1360, 337, 436, 785, 1020, 10, 766, 802, 1730, 1739, 521, 1464, 451, 1581, 1315, 1009, 1160, 36, 716, 689, 1638, 1340, 1371, 995, 1791, 1584, 1215, 1367, 1038, 1636, 291, 515, 856, 425, 63, 203, 532, 682, 55, 1473, 1117, 1207, 1078, 996, 107, 51, 116, 1437, 1143, 1066, 205, 1224, 1411, 248, 662, 1565, 386, 326, 1794, 800, 462, 895, 844, 252, 1496, 471, 688, 495, 1605, 1406, 1466, 1514, 1475, 1178, 622, 298, 461, 1731, 402, 1224, 254, 1190, 300, 660, 104, 855, 452, 610, 592, 910, 870, 1437, 1048, 1099, 1124, 651, 1054, 908, 1458, 1391, 490, 1057, 1289, 1279, 1436, 651, 1496, 751, 470, 707, 259, 971, 584, 681, 555, 311, 396, 1705, 1832, 1424, 1166, 926, 1160, 1487, 996, 1588, 628, 1091, 877, 1822, 1590, 1163, 1270, 848, 1325, 525, 1793, 452, 411, 865, 83, 1630, 1217, 834, 176, 348, 416, 1075, 1475, 556, 616, 308, 716, 1496, 1702, 1373, 788, 230, 1212, 409, 239, 1057, 398, 1451, 654, 34, 1623, 1214, 942, 1345, 626, 714, 1196, 797, 1382, 755, 1378, 560, 1782, 961, 1329, 1493, 1787, 901, 59, 903, 669, 1280, 1755, 1352, 1237, 1824, 1590, 1252, 1777, 1595, 1304, 1556, 1321, 1133, 795, 1157, 1433, 975, 274, 1251, 450, 630, 169, 504, 673, 377, 417, 316, 1242, 680, 673, 16, 624, 509, 417, 523, 838, 1782, 1209, 1565, 1545, 733, 649, 1384, 1144, 1724, 1221, 1698, 640, 703, 1293, 1286, 1369, 1212, 825, 1671, 755, 1384, 1245, 1253, 1417, 1344, 1526, 1042, 1677, 730, 1495, 1336, 1689, 1653, 1759, 9, 1714, 1136, 1509, 1056, 1023, 1047, 1688, 1670, 1552, 1217, 1378, 1448, 1100, 1823, 1406, 1417, 1211, 946, 1502, 513, 1192, 1448, 843, 949, 1648, 1119, 793, 1252, 664, 1085, 1048, 1637, 1558, 1476, 10, 1451, 368, 124, 1711, 1238, 1796, 9, 1331, 1280, 1127, 1160, 1384, 1501, 714, 1717, 1534, 1300, 1013, 1438, 547, 1517, 1075, 324, 1108, 887, 300, 1726, 1444, 1682, 1352, 1137, 1064, 188, 672, 1044, 27, 1400, 709, 1573, 777, 1289, 1089, 998, 1261, 1295, 664, 1589, 828, 1406, 1450, 1598, 858, 493, 1511, 858, 1752, 1830, 1681, 630, 1343, 1169, 1103, 364, 871, 184, 1034, 777, 1394, 969, 663, 1434, 1311, 470, 1067, 908, 1096, 1117, 1414, 1432, 219, 165, 453, 244, 128011, 128001 ]
[ 128000, 128002, 24220, 11, 499, 1440, 11, 433, 3604, 11, 499, 1440, 11, 1675, 24031, 264, 2697, 2766, 505, 279, 5818, 13, 2100, 430, 596, 5128, 7155, 13, 1472, 649, 259, 1983, 433, 1203, 304, 1070, 11, 3345, 279, 6134, 13, 15341, 1587, 539, 617, 264, 7366, 4668, 1093, 430, 11, 719, 2103, 2216, 7155, 13, 22335, 11, 86350, 42742, 1648, 11493, 13, 2100, 7344, 358, 3169, 315, 3194, 49198, 6931, 13, 9372, 520, 430, 13, 128003, 128005, 750, 1652, 1495, 911, 674, 999, 1621, 1003, 884, 681, 680, 724, 188, 544, 691, 378, 799, 1731, 774, 1792, 100, 205, 1746, 43, 699, 521, 329, 1183, 212, 1229, 375, 965, 549, 1790, 1160, 456, 888, 1422, 616, 1537, 685, 1331, 110, 856, 58, 993, 1335, 455, 41, 1438, 1739, 1004, 616, 1104, 1335, 1813, 1422, 1384, 1059, 996, 1132, 399, 816, 184, 277, 1630, 658, 524, 787, 595, 708, 410, 1105, 506, 1770, 1476, 1488, 549, 1615, 1677, 1027, 1402, 1437, 1682, 1187, 1325, 1713, 123, 30, 617, 1334, 440, 225, 930, 175, 1336, 968, 1452, 1315, 533, 787, 1680, 849, 983, 1745, 1403, 109, 1665, 876, 1768, 1018, 1374, 1283, 510, 28, 122, 1217, 802, 230, 1314, 996, 411, 1146, 57, 1764, 631, 748, 750, 856, 1418, 1161, 1315, 176, 662, 1215, 576, 1793, 966, 1049, 1466, 580, 1660, 937, 1027, 1745, 388, 1763, 303, 1585, 1670, 202, 319, 1573, 409, 1027, 1498, 1741, 552, 1802, 836, 1747, 1409, 1747, 721, 758, 721, 1796, 456, 1654, 225, 1818, 974, 1661, 894, 1460, 893, 123, 674, 1048, 1251, 1266, 1658, 117, 1187, 1272, 1152, 36, 1383, 829, 679, 1285, 1542, 18, 1685, 1632, 1027, 1428, 1397, 1200, 1189, 1344, 1266, 983, 1528, 1497, 1457, 875, 1686, 1649, 1819, 678, 1293, 1775, 678, 928, 1014, 416, 994, 1690, 1092, 95, 572, 1081, 343, 1243, 1565, 740, 1304, 786, 737, 1290, 297, 1627, 286, 1756, 7, 1166, 640, 409, 1637, 1741, 1127, 1060, 234, 1492, 497, 104, 801, 969, 1217, 1318, 1814, 348, 648, 1018, 1337, 1720, 1649, 1713, 1754, 1451, 1390, 878, 1295, 1435, 1350, 439, 1259, 533, 1647, 295, 503, 1430, 1104, 317, 1425, 1752, 1118, 1292, 1821, 291, 583, 1592, 1830, 222, 1336, 1634, 1263, 557, 495, 1312, 530, 1793, 272, 1079, 1175, 1414, 1496, 1524, 1683, 1329, 1746, 1754, 1091, 1185, 1411, 1687, 1144, 938, 513, 735, 379, 693, 765, 504, 548, 1039, 1133, 1170, 839, 1080, 1789, 564, 1664, 175, 1061, 510, 1079, 19, 82, 1700, 571, 959, 292, 831, 1765, 1790, 1294, 347, 1200, 452, 1564, 1662, 1305, 355, 247, 1204, 477, 1711, 306, 113, 1216, 115, 790, 1222, 944, 347, 917, 1418, 1289, 967, 178, 1220, 997, 1731, 178, 302, 636, 1365, 1375, 898, 849, 1243, 1364, 770, 1565, 1066, 1373, 430, 1109, 388, 1632, 961, 901, 1526, 1318, 979, 1243, 1410, 1750, 1315, 1108, 612, 1822, 162, 430, 1778, 1225, 1769, 1798, 1631, 1385, 1752, 1754, 1456, 1639, 1128, 578, 1694, 1162, 116, 1474, 466, 936, 297, 1035, 1150, 395, 680, 1663, 18, 502, 1580, 183, 1769, 1781, 1752, 1477, 864, 799, 1335, 725, 5, 954, 1279, 671, 227, 936, 1474, 50, 1310, 816, 536, 425, 500, 1638, 1287, 675, 557, 397, 994, 969, 1588, 1169, 1147, 1073, 1045, 388, 439, 774, 230, 653, 1077, 55, 91, 1134, 932, 693, 1745, 251, 1121, 1289, 174, 1481, 752, 378, 1367, 229, 1128, 1185, 259, 1292, 449, 378, 976, 832, 1632, 1523, 1065, 1589, 735, 563, 1343, 936, 964, 325, 717, 1016, 692, 1071, 20, 680, 627, 544, 490, 584, 584, 1131, 1549, 55, 1670, 1278, 1204, 384, 1651, 678, 308, 1612, 1285, 1649, 1765, 1519, 6, 1126, 756, 158, 48, 701, 549, 774, 176, 15, 1679, 368, 1022, 1030, 1459, 711, 321, 1341, 1400, 1135, 467, 1350, 979, 1335, 1445, 860, 934, 927, 1072, 569, 1633, 1029, 109, 1681, 856, 1321, 1422, 583, 1016, 1485, 564, 1527, 917, 1693, 502, 909, 1250, 395, 893, 1568, 557, 160, 1524, 748, 1573, 1494, 981, 886, 803, 619, 647, 758, 1320, 177, 640, 1662, 1485, 362, 1719, 1720, 1527, 1668, 1036, 1215, 657, 582, 315, 1336, 398, 269, 1569, 1546, 761, 399, 713, 1324, 340, 1228, 1307, 1393, 123, 583, 867, 809, 1514, 664, 1076, 1382, 699, 1524, 777, 286, 1103, 870, 998, 350, 783, 989, 1350, 1593, 1700, 1299, 1746, 176, 459, 1209, 1410, 173, 1581, 400, 1191, 65, 1297, 467, 1040, 497, 1492, 985, 1046, 560, 1369, 1336, 1397, 646, 1106, 1033, 531, 1067, 1065, 594, 1154, 562, 1294, 1273, 674, 544, 1760, 610, 1335, 955, 991, 195, 306, 36, 587, 511, 79, 104, 1173, 1261, 425, 1749, 1647, 1227, 1682, 473, 0, 295, 1412, 599, 1166, 1611, 858, 1687, 1720, 1711, 1639, 1496, 1681, 284, 1713, 325, 933, 1536, 765, 1142, 668, 936, 785, 933, 316, 669, 301, 513, 928, 516, 1145, 585, 555, 1623, 601, 692, 666, 681, 975, 1142, 735, 694, 601, 555, 1242, 1114, 1737, 975, 513, 704, 676, 727, 544, 651, 1348, 692, 378, 666, 724, 1118, 544, 378, 257, 765, 612, 975, 712, 624, 504, 566, 487, 704, 54, 274, 584, 334, 417, 509, 486, 1242, 334, 765, 696, 601, 496, 712, 509, 1571, 866, 619, 546, 781, 50, 1451, 911, 6, 1681, 404, 1571, 852, 911, 1063, 1495, 373, 85, 1206, 1083, 319, 1111, 1648, 492, 1460, 676, 1295, 1056, 484, 1357, 1353, 223, 814, 774, 278, 532, 1447, 86, 836, 1450, 548, 809, 372, 1321, 1417, 1104, 414, 1478, 1734, 1144, 1128, 1043, 1133, 1281, 259, 455, 1762, 396, 425, 1601, 1095, 1093, 1118, 921, 1683, 754, 1257, 743, 982, 1801, 1035, 1087, 1631, 1420, 1179, 1638, 1194, 1156, 375, 1252, 1742, 1277, 307, 1043, 1096, 1781, 230, 1686, 1084, 1697, 855, 920, 67, 883, 234, 409, 1392, 100, 1048, 648, 1441, 1439, 448, 320, 719, 1415, 1356, 502, 22, 1477, 117, 1483, 1462, 863, 1482, 615, 1832, 1225, 1744, 1371, 1480, 1688, 58, 1821, 632, 733, 519, 545, 298, 973, 519, 1332, 839, 350, 1022, 1701, 987, 1828, 1681, 1757, 4, 202, 1766, 599, 1724, 1466, 1790, 1776, 1593, 1596, 487, 1472, 1828, 1414, 562, 967, 188, 240, 624, 90, 1288, 1581, 1006, 1614, 935, 1413, 626, 1408, 18, 972, 50, 1030, 335, 757, 619, 695, 1681, 79, 1348, 22, 925, 877, 888, 27, 1806, 731, 1682, 1318, 756, 717, 107, 648, 1038, 664, 527, 1013, 1825, 360, 1100, 672, 774, 490, 277, 1236, 777, 1363, 718, 793, 518, 902, 742, 805, 1677, 646, 1432, 1715, 121, 1701, 1809, 1279, 1644, 936, 1465, 1338, 1154, 1536, 795, 1010, 1578, 933, 758, 625, 591, 325, 584, 1080, 16, 630, 1284, 1585, 555, 417, 168, 651, 1362, 710, 438, 426, 712, 686, 377, 513, 1284, 981, 624, 281, 627, 274, 785, 378, 1570, 712, 591, 325, 301, 957, 785, 378, 1011, 712, 555, 505, 603, 567, 423, 674, 496, 766, 1242, 1363, 1327, 654, 713, 1667, 1466, 303, 959, 636, 718, 1649, 1136, 813, 1417, 966, 1700, 1501, 1743, 1658, 1666, 1822, 1373, 1716, 1359, 1357, 1493, 649, 485, 389, 1573, 1476, 860, 876, 533, 1436, 234, 536, 176, 1012, 1161, 108, 1371, 793, 1625, 1509, 980, 1300, 536, 1606, 1009, 1332, 428, 126, 197, 231, 1361, 1583, 1451, 310, 1612, 689, 1708, 1689, 1059, 1049, 459, 1223, 470, 902, 1032, 612, 1279, 437, 1181, 1051, 663, 691, 1260, 1232, 1259, 1186, 780, 203, 895, 1811, 1446, 1342, 1730, 1316, 1104, 708, 1663, 948, 664, 1308, 882, 644, 1104, 13, 1449, 1088, 742, 1214, 647, 668, 966, 91, 1088, 840, 1364, 1312, 1744, 1439, 1709, 202, 858, 28, 129, 736, 18, 315, 1532, 335, 1422, 1685, 1547, 1654, 1085, 1720, 879, 491, 1694, 552, 319, 1055, 63, 939, 628, 1007, 836, 1446, 1790, 729, 1758, 1790, 199, 869, 777, 1076, 1470, 987, 1286, 1663, 1004, 1006, 678, 727, 303, 1752, 1487, 493, 1312, 1556, 798, 1510, 1460, 653, 1827, 1201, 1275, 725, 473, 835, 1479, 1678, 1793, 1027, 1324, 937, 1215, 1410, 530, 1704, 954, 1076, 1073, 1162, 1291, 452, 1498, 1629, 874, 1252, 1278, 1178, 1499, 1320, 1762, 1274, 1254, 353, 1123, 1385, 1674, 1293, 156, 219, 244, 244, 167, 128011, 128001 ]
[ 128000, 128002, 5028, 10033, 323, 84527, 374, 5115, 264, 2766, 11493, 1109, 15341, 11, 779, 7344, 1131, 128003, 128005, 630, 963, 1770, 893, 896, 727, 1715, 1306, 690, 1474, 816, 618, 143, 576, 1, 794, 158, 14, 753, 1047, 30, 1732, 858, 1238, 1237, 399, 510, 175, 725, 836, 110, 508, 397, 1620, 1476, 1671, 749, 395, 1508, 1691, 1540, 1678, 1707, 1147, 148, 1543, 697, 102, 890, 213, 252, 1766, 849, 1247, 243, 455, 1817, 947, 502, 126, 1549, 298, 1618, 1376, 1296, 1436, 357, 1226, 1146, 1546, 1722, 1677, 1484, 1333, 1306, 1421, 1114, 642, 489, 87, 1353, 162, 983, 934, 155, 49, 1149, 184, 320, 1444, 957, 1117, 1063, 330, 553, 615, 962, 742, 1632, 1820, 1231, 1412, 870, 613, 1146, 388, 116, 1450, 962, 312, 758, 368, 752, 1101, 1532, 73, 500, 211, 1642, 947, 688, 426, 1596, 1780, 782, 789, 1364, 197, 1646, 1728, 269, 585, 1022, 640, 1564, 203, 1319, 1463, 906, 937, 344, 367, 1820, 320, 424, 132, 1459, 547, 157, 455, 1568, 1741, 1396, 1436, 1772, 1671, 399, 1746, 1665, 1681, 1123, 1225, 1735, 1433, 885, 1414, 772, 1024, 1251, 1164, 1688, 1033, 1379, 1784, 1305, 1104, 1384, 885, 1489, 638, 1168, 1158, 334, 1108, 562, 1244, 986, 1570, 335, 820, 6, 333, 1637, 997, 1716, 1002, 742, 1535, 831, 1375, 913, 436, 1460, 617, 1766, 989, 1113, 153, 143, 341, 1441, 849, 1204, 154, 1353, 428, 1507, 1348, 854, 1460, 945, 683, 48, 541, 1216, 117, 201, 834, 1341, 1450, 767, 1710, 126, 1664, 1532, 748, 649, 971, 1260, 1021, 1754, 643, 165, 244, 244, 244, 128011, 128001 ]
[ 128000, 128002, 31456, 30675, 311, 387, 810, 304, 279, 5912, 1404, 24066, 11, 719, 358, 2846, 2103, 5128, 16913, 568, 1053, 617, 1027, 264, 79524, 304, 279, 25761, 1584, 11, 902, 574, 1093, 264, 400, 2002, 3430, 907, 13, 128003, 128005, 710, 585, 199, 918, 1211, 729, 611, 1151, 1267, 810, 1616, 312, 1831, 4, 695, 41, 28, 1221, 614, 1422, 746, 834, 1732, 636, 1446, 1466, 26, 1314, 841, 1798, 1389, 1681, 363, 301, 924, 470, 1825, 747, 151, 1380, 1371, 1693, 1552, 1616, 22, 1227, 1027, 506, 823, 158, 377, 756, 1811, 1624, 230, 1240, 541, 549, 1549, 1370, 1297, 502, 644, 117, 302, 1170, 443, 976, 293, 921, 1139, 211, 1108, 648, 439, 1379, 1482, 1676, 858, 1618, 1642, 1441, 1073, 556, 67, 989, 18, 386, 1344, 382, 143, 1676, 368, 1673, 1671, 1565, 844, 835, 784, 836, 1595, 1018, 617, 1383, 644, 975, 1156, 64, 1047, 1514, 374, 32, 1437, 1115, 1676, 588, 1695, 718, 1819, 871, 1637, 203, 1458, 521, 1499, 847, 1301, 1166, 721, 1450, 1069, 1665, 1625, 1554, 64, 787, 765, 1141, 1754, 1501, 297, 633, 1100, 966, 1446, 1049, 1584, 1006, 1421, 53, 1342, 626, 452, 870, 1443, 858, 937, 533, 1047, 763, 636, 98, 1801, 1588, 1443, 1811, 1166, 853, 1357, 297, 583, 1332, 1287, 1328, 1476, 1272, 634, 129, 132, 1283, 183, 1489, 370, 1222, 79, 907, 1326, 135, 1746, 609, 616, 1280, 409, 1661, 1790, 648, 473, 1707, 1798, 1779, 1412, 1297, 565, 1044, 364, 172, 1066, 985, 441, 705, 461, 621, 1422, 1097, 1622, 1153, 1501, 1011, 1160, 1318, 617, 1376, 1827, 1734, 440, 1415, 18, 239, 1466, 599, 1030, 1340, 848, 1598, 1351, 1364, 1509, 849, 1042, 1490, 1215, 1425, 1676, 972, 1378, 800, 934, 753, 1160, 524, 1253, 236, 1742, 461, 1462, 179, 1496, 903, 28, 803, 627, 1393, 716, 134, 1583, 1300, 1296, 198, 570, 1061, 1376, 1528, 634, 1726, 1245, 934, 1369, 13, 1645, 137, 1333, 1449, 1677, 58, 1321, 1799, 1556, 715, 1131, 1063, 1110, 828, 1337, 1056, 1019, 1061, 452, 1048, 919, 1058, 1796, 1833, 32, 1611, 556, 1438, 1714, 1204, 958, 525, 1404, 524, 1330, 609, 798, 1774, 550, 910, 1031, 961, 1584, 1742, 1530, 1682, 368, 1054, 1098, 632, 1817, 892, 1084, 1002, 1491, 1502, 1228, 753, 454, 1671, 399, 480, 823, 109, 387, 747, 724, 720, 27, 1087, 5, 1178, 583, 1573, 662, 1242, 1281, 1749, 461, 932, 943, 611, 1719, 1746, 671, 460, 967, 1373, 1395, 424, 239, 65, 1402, 254, 1272, 1457, 452, 1423, 1440, 700, 495, 1339, 1726, 1798, 1408, 1632, 1820, 1181, 788, 1806, 1797, 788, 1705, 1034, 1532, 1458, 943, 1788, 1059, 1364, 1504, 1175, 0, 1735, 767, 1428, 1028, 1021, 1486, 1450, 1422, 1449, 896, 727, 484, 435, 1232, 454, 1455, 1492, 546, 997, 736, 407, 1501, 47, 1741, 1278, 50, 1015, 1013, 440, 1451, 1488, 1627, 1025, 1629, 694, 1628, 154, 384, 1174, 1127, 1200, 234, 1358, 1499, 376, 787, 1096, 1335, 1634, 876, 1236, 1698, 887, 63, 860, 880, 441, 81, 106, 679, 309, 408, 452, 1135, 203, 1303, 1186, 1213, 1481, 1426, 581, 181, 276, 592, 52, 943, 592, 510, 989, 780, 1197, 1476, 1535, 1687, 1549, 1609, 1714, 731, 1536, 1770, 1494, 1219, 1349, 310, 1524, 1612, 903, 1814, 664, 1611, 134, 1801, 1828, 406, 1809, 1761, 0, 117, 1722, 895, 1333, 1209, 757, 1466, 1353, 1409, 592, 1720, 949, 493, 1816, 286, 1765, 1004, 1684, 1004, 136, 775, 1614, 57, 652, 428, 1549, 124, 1407, 1796, 809, 1801, 1156, 1392, 1629, 587, 1647, 1315, 1089, 1494, 1630, 1448, 1423, 1820, 1342, 1726, 1431, 1654, 835, 1360, 1697, 177, 242, 655, 316, 1385, 437, 762, 42, 250, 1573, 1827, 1329, 416, 1465, 1091, 1777, 1028, 884, 1418, 1795, 1073, 1401, 1513, 1786, 1408, 685, 1062, 630, 1064, 470, 247, 1475, 490, 981, 449, 464, 795, 988, 1032, 1420, 734, 642, 641, 1048, 1573, 1524, 1459, 10, 1500, 1098, 1797, 1458, 1448, 1806, 1433, 1284, 1093, 401, 1112, 272, 984, 174, 647, 223, 635, 724, 898, 1809, 1062, 297, 601, 828, 1064, 737, 1733, 1541, 297, 1448, 1100, 1646, 1127, 1501, 239, 1087, 1450, 1353, 1221, 1380, 466, 1524, 1640, 1022, 1763, 1827, 298, 648, 1364, 409, 844, 1018, 213, 1238, 415, 1755, 1462, 1245, 1155, 1344, 1314, 806, 493, 1718, 1402, 1476, 1572, 32, 788, 1411, 1331, 1454, 802, 1218, 1760, 1172, 1013, 533, 1368, 1798, 1691, 1152, 712, 1242, 1777, 213, 870, 1153, 1349, 1108, 1355, 1226, 306, 1160, 110, 1607, 790, 1365, 755, 823, 1365, 1410, 1048, 1450, 1249, 679, 450, 787, 1568, 997, 1455, 402, 306, 879, 303, 467, 1193, 1252, 422, 1271, 1103, 87, 1265, 1032, 113, 1755, 1052, 841, 1654, 718, 827, 1799, 90, 1399, 136, 174, 915, 1133, 259, 1648, 1655, 1310, 1337, 1813, 1282, 1404, 1675, 1355, 1145, 1099, 1471, 675, 1499, 647, 934, 2, 297, 2, 321, 1280, 18, 1420, 295, 63, 1778, 714, 813, 502, 6, 1358, 6, 137, 570, 202, 714, 1034, 46, 430, 543, 67, 979, 357, 1002, 1379, 870, 1730, 1057, 1549, 1667, 1565, 1756, 1145, 1565, 1768, 976, 1741, 981, 1104, 1793, 459, 1411, 1003, 1104, 1682, 964, 1329, 1803, 976, 1476, 516, 793, 1517, 31, 869, 229, 967, 1360, 1655, 799, 534, 674, 672, 735, 1289, 1500, 806, 134, 640, 700, 1709, 493, 1416, 1546, 1345, 1810, 18, 127, 344, 1337, 1517, 1075, 537, 1140, 293, 135, 955, 1356, 860, 658, 1189, 637, 1113, 887, 825, 479, 1041, 1392, 592, 961, 1335, 1082, 1410, 298, 834, 1605, 821, 848, 312, 1791, 640, 1258, 155, 1604, 844, 732, 1161, 92, 1564, 1445, 898, 423, 1332, 1416, 729, 1486, 1792, 1638, 1462, 691, 165, 156, 453, 244, 167, 128011, 128001 ]
[ 128000, 128002, 8586, 596, 701, 5912, 86350, 25879, 11, 889, 14224, 706, 264, 2204, 7645, 11, 37856, 279, 2145, 269, 11, 2204, 6308, 2683, 11, 323, 568, 1101, 706, 420, 13192, 1457, 13, 128003, 128005, 504, 337, 495, 1002, 876, 648, 1515, 1353, 502, 1449, 502, 117, 1452, 202, 1403, 183, 10, 787, 1342, 1410, 1420, 277, 397, 688, 1511, 1496, 1457, 503, 954, 1278, 1336, 641, 945, 706, 1223, 1457, 352, 945, 549, 1190, 2, 1416, 62, 179, 1530, 1091, 1757, 1530, 802, 452, 721, 1795, 1104, 234, 211, 1593, 1134, 1056, 211, 1648, 570, 456, 1380, 1097, 99, 1703, 1416, 1791, 1814, 1386, 1621, 0, 1309, 225, 1346, 665, 252, 1615, 254, 1008, 323, 321, 438, 372, 629, 26, 508, 175, 213, 648, 863, 1422, 790, 972, 1146, 834, 1802, 648, 1520, 1422, 1243, 1826, 1695, 1791, 0, 855, 641, 783, 1769, 411, 1679, 252, 176, 829, 202, 1042, 46, 41, 1270, 110, 1373, 11, 864, 312, 990, 1744, 1545, 333, 1004, 1218, 1500, 1355, 36, 478, 1701, 589, 1526, 270, 441, 1318, 76, 1126, 221, 1173, 997, 146, 516, 36, 1466, 322, 1314, 1032, 1217, 1048, 510, 1315, 599, 877, 362, 920, 870, 122, 687, 231, 409, 1568, 1588, 1077, 1225, 205, 1572, 318, 831, 10, 1087, 1228, 393, 1758, 595, 1107, 658, 1195, 467, 1130, 789, 886, 1372, 1107, 1379, 682, 1710, 132, 1470, 362, 176, 1710, 176, 1818, 1272, 1557, 787, 677, 1463, 1302, 702, 732, 1442, 1605, 34, 1082, 1232, 1310, 931, 787, 181, 917, 1821, 22, 1797, 1024, 1651, 1198, 1129, 794, 909, 1015, 153, 1827, 1411, 1073, 1187, 440, 716, 1007, 1790, 1706, 231, 67, 1395, 543, 239, 1412, 178, 1648, 1370, 1730, 418, 938, 879, 1200, 475, 1445, 570, 1066, 1139, 25, 1780, 498, 1397, 158, 1403, 319, 1332, 356, 1404, 400, 328, 1320, 1030, 1074, 628, 1444, 962, 302, 28, 98, 938, 647, 1319, 1397, 728, 1244, 1821, 1803, 767, 1810, 1496, 493, 1833, 1175, 1649, 1754, 989, 1724, 1230, 1057, 1805, 1687, 1428, 651, 242, 717, 334, 1242, 735, 1629, 600, 875, 1828, 1473, 903, 252, 367, 88, 678, 329, 299, 764, 537, 88, 79, 146, 107, 282, 934, 1636, 1468, 1787, 1041, 153, 375, 46, 320, 715, 592, 636, 1238, 1753, 1141, 1221, 1344, 806, 844, 1424, 1470, 217, 1650, 1651, 1612, 1814, 1307, 1173, 525, 1400, 82, 816, 1307, 115, 1203, 115, 370, 1237, 137, 1245, 1075, 901, 997, 714, 1048, 1457, 1698, 428, 122, 790, 713, 335, 1178, 1477, 493, 828, 452, 385, 874, 1685, 184, 1279, 483, 1239, 1351, 1783, 355, 284, 1158, 266, 1788, 486, 1567, 409, 1091, 430, 492, 1775, 100, 983, 1651, 695, 356, 1295, 1772, 858, 368, 1175, 1498, 1095, 571, 1416, 864, 1496, 1166, 109, 821, 123, 1467, 1313, 134, 495, 1422, 1486, 685, 1303, 628, 746, 408, 1602, 648, 1493, 943, 1687, 191, 1290, 662, 1600, 1723, 1709, 50, 1724, 308, 1264, 1063, 349, 474, 1756, 208, 1162, 628, 402, 1656, 658, 1066, 1444, 1161, 804, 1038, 1172, 1063, 1489, 1735, 1683, 1342, 1788, 1412, 1364, 1385, 782, 1665, 1421, 1139, 1142, 1738, 707, 470, 724, 266, 638, 392, 1200, 1078, 1799, 788, 326, 1510, 1078, 363, 347, 492, 1465, 339, 1271, 903, 236, 1218, 1261, 1129, 945, 348, 577, 1082, 137, 1519, 18, 882, 1429, 996, 644, 1624, 621, 1705, 339, 1032, 47, 1029, 1077, 384, 1492, 628, 1431, 1825, 973, 1518, 1636, 631, 201, 362, 22, 1616, 1810, 1617, 1663, 1771, 1053, 1222, 898, 315, 1407, 1742, 368, 592, 50, 33, 1638, 176, 1664, 1495, 1602, 1284, 1405, 1578, 1360, 399, 1217, 782, 780, 1051, 1556, 1134, 907, 375, 956, 234, 129, 1117, 949, 295, 1015, 882, 70, 1206, 1357, 137, 1689, 1663, 1687, 1793, 1268, 1228, 1165, 888, 1796, 1385, 57, 1541, 320, 1407, 104, 1389, 452, 806, 870, 236, 1792, 658, 839, 905, 870, 1221, 1019, 322, 1766, 1661, 32, 1735, 1680, 495, 643, 165, 453, 244, 128011, 128001 ]
[ 128000, 128002, 7184, 433, 596, 892, 311, 9616, 1124, 311, 264, 5743, 1023, 59432, 13, 5046, 3388, 11, 6041, 1120, 520, 279, 1633, 7314, 315, 682, 892, 11, 584, 617, 82448, 356, 2985, 261, 323, 14662, 86669, 505, 279, 4113, 36231, 5818, 13, 128003, 128005, 257, 766, 712, 1205, 1347, 759, 1372, 1280, 245, 474, 1761, 170, 497, 1394, 380, 107, 1509, 113, 1678, 1808, 599, 52, 1247, 320, 863, 863, 768, 1304, 393, 818, 293, 874, 1047, 100, 1192, 297, 1596, 67, 1294, 1340, 1300, 1026, 218, 1344, 913, 416, 1816, 1118, 796, 1677, 931, 916, 966, 10, 1723, 1757, 1259, 1406, 895, 1365, 1642, 1143, 1317, 725, 1136, 184, 543, 532, 1097, 1340, 998, 384, 1416, 1389, 794, 770, 1700, 454, 1048, 1711, 679, 738, 1287, 1477, 1190, 0, 1636, 488, 1339, 1313, 514, 1537, 1511, 264, 516, 1511, 1774, 1178, 1624, 1489, 1325, 589, 789, 587, 297, 1764, 1314, 1102, 1727, 1732, 1275, 1494, 1190, 1087, 1618, 1191, 1335, 1207, 1452, 983, 748, 1777, 1229, 1434, 1397, 978, 1358, 1119, 1055, 1443, 571, 1086, 57, 647, 1752, 910, 875, 1746, 1172, 277, 629, 1091, 1083, 1404, 940, 835, 1153, 1801, 1620, 1212, 1504, 1331, 1226, 1683, 1420, 991, 1098, 210, 1598, 841, 1044, 217, 1553, 370, 427, 0, 497, 1820, 1097, 317, 891, 886, 1466, 1088, 1716, 1481, 339, 492, 1170, 210, 1733, 179, 1223, 179, 1333, 48, 1434, 1402, 861, 1245, 490, 869, 1259, 1475, 774, 747, 842, 395, 1079, 298, 444, 750, 520, 1380, 631, 877, 1616, 1241, 1615, 129, 1217, 1796, 546, 1818, 1760, 1270, 1662, 1532, 1631, 1545, 726, 1816, 1798, 1057, 363, 1379, 1556, 1352, 999, 1640, 1632, 1214, 1352, 878, 1428, 490, 284, 1112, 762, 666, 338, 795, 258, 169, 1565, 1362, 1282, 1238, 1681, 1160, 1722, 1652, 1758, 1489, 1556, 1735, 613, 1081, 1047, 1102, 1738, 1131, 57, 268, 653, 1329, 996, 455, 1238, 384, 183, 407, 502, 1450, 848, 1646, 485, 1549, 1730, 1143, 871, 520, 882, 518, 827, 1245, 1191, 371, 197, 847, 286, 803, 383, 890, 616, 1400, 1012, 1675, 286, 623, 1396, 1090, 1767, 1441, 98, 1748, 471, 302, 1660, 1166, 1606, 409, 519, 1513, 52, 495, 911, 0, 1699, 1363, 1510, 1228, 1549, 666, 1639, 1428, 1072, 271, 210, 39, 402, 901, 292, 718, 1620, 1395, 1645, 1738, 1646, 1731, 1107, 868, 759, 293, 1336, 821, 1511, 310, 1754, 1715, 1605, 1238, 1769, 1355, 849, 779, 768, 1533, 1450, 1150, 330, 109, 816, 104, 1496, 647, 157, 202, 1593, 382, 721, 1667, 726, 1640, 831, 673, 854, 798, 1783, 305, 787, 1508, 1214, 1472, 344, 1436, 1328, 320, 158, 1335, 833, 753, 1581, 640, 312, 1674, 802, 1047, 1800, 398, 536, 1215, 931, 913, 1259, 1323, 1335, 1514, 1281, 1770, 1794, 1291, 1648, 1157, 516, 1782, 1209, 1063, 628, 855, 695, 359, 239, 956, 39, 36, 1317, 874, 291, 1689, 1325, 116, 1706, 1407, 1463, 1713, 298, 1217, 1535, 1774, 58, 1186, 252, 1358, 665, 657, 1358, 996, 361, 664, 1771, 665, 635, 1496, 664, 1048, 1496, 688, 899, 1221, 530, 1713, 644, 1246, 679, 1336, 1649, 903, 1712, 175, 1444, 1363, 1136, 1653, 1261, 1804, 882, 1125, 660, 1828, 711, 951, 759, 1194, 903, 711, 961, 1532, 610, 1393, 588, 1737, 1457, 1778, 1320, 1785, 1137, 1707, 1331, 202, 1476, 1418, 1710, 1129, 868, 142, 1447, 463, 115, 1263, 1041, 271, 550, 1166, 794, 48, 1671, 1400, 1554, 1754, 736, 1325, 700, 55, 1571, 822, 703, 1284, 1659, 1716, 1091, 1687, 1611, 1258, 1197, 164, 88, 1400, 271, 1186, 115, 1358, 115, 1107, 186, 492, 637, 934, 1395, 909, 1779, 1265, 984, 1043, 1647, 1322, 4, 858, 1192, 1104, 110, 593, 1091, 583, 1168, 116, 707, 367, 86, 1342, 120, 795, 1378, 229, 1168, 1317, 1305, 767, 1658, 1175, 1701, 1705, 1082, 1418, 1496, 701, 1144, 1379, 1322, 1417, 793, 733, 27, 447, 188, 1824, 1793, 1317, 1600, 1129, 1056, 822, 951, 1542, 581, 1237, 592, 887, 328, 934, 943, 809, 1329, 521, 1403, 1019, 990, 616, 1362, 1286, 1252, 1088, 184, 1799, 1748, 1453, 1003, 1121, 437, 724, 1032, 1070, 1227, 66, 676, 1234, 66, 42, 684, 363, 66, 1534, 482, 1658, 813, 1209, 868, 813, 678, 1330, 521, 1304, 860, 1058, 903, 1281, 547, 1680, 678, 1758, 1584, 903, 954, 1078, 1384, 1325, 1068, 1832, 1511, 1591, 1479, 1462, 1731, 997, 475, 1308, 53, 718, 901, 271, 622, 158, 286, 1488, 1517, 1497, 1062, 1483, 1466, 1298, 389, 789, 397, 1593, 1253, 1453, 1455, 1358, 1275, 1521, 836, 1759, 1400, 1772, 1568, 362, 1813, 1271, 1423, 616, 1109, 1411, 607, 1632, 184, 1514, 973, 1568, 1243, 0, 1545, 700, 457, 1389, 1474, 1723, 1439, 1737, 969, 436, 1272, 533, 127, 1547, 1304, 1432, 1823, 1318, 1518, 1224, 1448, 991, 1738, 477, 348, 814, 1823, 583, 1826, 389, 316, 1622, 272, 611, 691, 848, 369, 426, 949, 481, 344, 1366, 1535, 713, 1156, 1035, 864, 946, 1519, 557, 758, 961, 1076, 705, 761, 269, 1802, 1249, 1481, 1492, 1489, 1701, 1825, 1385, 1314, 390, 1227, 816, 1222, 65, 120, 1325, 1344, 1304, 1345, 55, 970, 1422, 1069, 1722, 1056, 1678, 510, 502, 1552, 22, 1742, 1736, 713, 834, 1472, 1524, 1433, 1107, 1460, 1388, 182, 1744, 1447, 1487, 503, 1662, 1625, 1360, 1476, 1454, 587, 1634, 320, 900, 1061, 428, 1384, 1655, 1660, 905, 584, 1504, 1251, 1722, 165, 219, 244, 244, 128011, 128001 ]
[ 128000, 128002, 4516, 14224, 5115, 264, 2766, 2204, 11, 719, 59432, 38913, 13, 128003, 128005, 496, 387, 896, 440, 1479, 527, 493, 1128, 1397, 1298, 105, 1249, 999, 424, 1273, 13, 1219, 1078, 1159, 783, 700, 386, 1378, 81, 951, 324, 697, 1113, 816, 1117, 456, 1217, 803, 885, 95, 322, 911, 429, 1543, 577, 1267, 448, 52, 231, 315, 863, 911, 1395, 1147, 225, 1665, 62, 191, 1808, 1552, 1692, 1794, 1535, 1658, 707, 1322, 855, 80, 51, 892, 1234, 170, 1295, 892, 69, 524, 813, 170, 1718, 1289, 1036, 1417, 1828, 1429, 965, 67, 217, 1008, 1639, 999, 1388, 1819, 1679, 1696, 253, 333, 1298, 367, 456, 927, 1074, 1308, 48, 1349, 1558, 1769, 822, 1793, 1162, 973, 268, 1401, 362, 1271, 948, 1542, 774, 1482, 1593, 1134, 1588, 748, 1233, 1447, 37, 447, 516, 751, 1004, 1318, 632, 286, 1087, 1310, 1423, 628, 858, 1339, 905, 1059, 1103, 1251, 1116, 987, 1730, 1223, 1137, 1098, 1668, 1393, 1661, 1119, 973, 868, 306, 388, 723, 1066, 234, 321, 466, 1073, 1308, 759, 688, 1754, 1331, 1537, 1160, 22, 1486, 1325, 474, 303, 1126, 299, 210, 1477, 393, 159, 1663, 1256, 1243, 1489, 1245, 1784, 1434, 1790, 1121, 1436, 836, 439, 1120, 778, 429, 1705, 1376, 506, 1035, 57, 1673, 409, 1296, 736, 315, 1766, 231, 1524, 1632, 1552, 1796, 1145, 1602, 950, 1627, 1696, 1007, 495, 1684, 459, 1343, 490, 885, 1655, 651, 1614, 986, 591, 16, 670, 799, 692, 486, 257, 585, 591, 281, 1080, 696, 785, 490, 803, 914, 1022, 1514, 1139, 835, 1250, 775, 1409, 1400, 466, 1755, 764, 48, 22, 269, 1313, 917, 1637, 617, 1343, 1019, 1810, 1026, 996, 825, 1353, 1227, 1330, 200, 673, 1312, 787, 905, 205, 1216, 466, 609, 1100, 665, 173, 1351, 498, 1372, 1075, 1485, 1706, 1382, 132, 822, 863, 858, 1088, 18, 927, 750, 556, 1370, 440, 1403, 1681, 1513, 1573, 1383, 1602, 649, 1522, 1354, 1510, 325, 156, 165, 453, 244, 128011, 128001 ]
[ 128000, 128002, 3112, 16870, 73872, 11, 889, 358, 2216, 656, 1093, 2225, 315, 1521, 13, 358, 1093, 16870, 73872, 264, 2697, 2766, 810, 1120, 5353, 358, 3021, 430, 2579, 323, 4251, 1933, 13155, 13, 53934, 42221, 374, 3169, 315, 1093, 264, 24160, 36125, 13, 2030, 379, 12791, 11, 16870, 73872, 323, 65298, 356, 2985, 261, 13, 128003, 128005, 1142, 594, 838, 1297, 1731, 1091, 951, 1741, 886, 1392, 802, 552, 1748, 549, 297, 1342, 1073, 1083, 1139, 395, 1701, 903, 1605, 1056, 1348, 1335, 1528, 1218, 918, 58, 1179, 1504, 1792, 1102, 1537, 1025, 1047, 261, 926, 681, 770, 1767, 600, 1803, 907, 1195, 569, 1261, 221, 1761, 115, 359, 841, 723, 768, 665, 477, 779, 293, 1558, 1161, 52, 407, 927, 52, 1241, 782, 848, 1432, 640, 1354, 1202, 1215, 352, 1745, 510, 9, 58, 467, 1810, 1499, 474, 1831, 1149, 809, 1768, 828, 1705, 1757, 662, 1408, 1824, 1221, 759, 1811, 1659, 1738, 1650, 1652, 1033, 169, 1079, 819, 1145, 1554, 482, 696, 1502, 444, 1543, 600, 727, 1115, 1739, 1140, 1708, 1180, 1184, 868, 1261, 699, 1230, 794, 455, 55, 1451, 149, 1317, 1775, 953, 231, 1443, 709, 123, 310, 1326, 1394, 969, 112, 1788, 328, 462, 1722, 1340, 850, 1565, 1340, 1535, 1376, 1690, 895, 972, 1571, 55, 426, 576, 862, 1312, 1791, 1109, 1341, 1806, 424, 1640, 907, 467, 1714, 1192, 128, 387, 1047, 901, 663, 861, 1216, 728, 460, 42, 396, 1763, 1119, 536, 406, 730, 126, 1084, 112, 861, 721, 1488, 1406, 1740, 895, 1638, 1631, 1800, 1517, 695, 585, 836, 362, 1348, 700, 1535, 1725, 1056, 1532, 1346, 678, 1510, 1804, 1518, 1539, 1451, 1808, 1156, 1167, 1320, 589, 1422, 339, 1186, 764, 660, 577, 1340, 961, 1340, 705, 158, 678, 829, 989, 1188, 107, 617, 980, 1312, 1425, 902, 1158, 405, 1483, 238, 1826, 474, 1224, 860, 1194, 412, 1029, 210, 1462, 1107, 1110, 374, 1734, 502, 725, 1018, 132, 1034, 510, 1637, 938, 1546, 9, 1209, 1450, 116, 1696, 123, 1666, 123, 1785, 514, 1788, 825, 1712, 1093, 1811, 974, 1596, 770, 348, 720, 1653, 590, 1691, 291, 1702, 1304, 114, 995, 58, 1234, 1005, 1426, 798, 940, 1025, 521, 1815, 763, 361, 1699, 1365, 1710, 1014, 1607, 1304, 29, 1465, 806, 1553, 705, 1821, 937, 1245, 1240, 898, 1173, 1811, 1368, 1005, 1692, 1396, 1391, 733, 1137, 1556, 1504, 1057, 1700, 1705, 1082, 1829, 1306, 1238, 1553, 1370, 1748, 1305, 1476, 1114, 1064, 1205, 396, 584, 423, 171, 867, 247, 750, 1035, 1222, 1665, 806, 1702, 631, 1709, 6, 510, 1370, 356, 519, 1621, 736, 1683, 1134, 1611, 708, 1758, 349, 557, 636, 628, 1808, 1620, 1457, 1587, 1653, 1683, 1466, 1119, 847, 1183, 303, 687, 1001, 1073, 1434, 474, 1636, 1740, 695, 765, 1281, 1428, 1013, 1659, 1257, 1618, 545, 1766, 632, 483, 1055, 882, 569, 1563, 972, 1631, 730, 1791, 1794, 1488, 1823, 1812, 1185, 1361, 1045, 384, 922, 1761, 827, 589, 1230, 53, 940, 1385, 1218, 412, 136, 792, 934, 169, 1414, 1229, 763, 831, 651, 80, 864, 322, 1206, 1073, 1122, 1821, 537, 959, 1757, 864, 765, 965, 1349, 545, 1436, 269, 1253, 859, 626, 459, 1323, 1731, 1163, 395, 578, 998, 1479, 699, 1071, 934, 277, 1754, 1263, 384, 1270, 1093, 1774, 1765, 437, 918, 1185, 1041, 549, 1010, 1701, 1129, 1119, 678, 880, 1127, 1345, 991, 600, 508, 656, 1109, 825, 380, 134, 1320, 1272, 1257, 318, 1726, 28, 155, 1588, 863, 648, 1395, 18, 1744, 1687, 1139, 1211, 999, 1187, 1542, 103, 1651, 1488, 62, 1047, 1729, 631, 55, 863, 1636, 1258, 549, 1775, 1382, 1468, 835, 1439, 1620, 1612, 1830, 60, 459, 655, 250, 1510, 5, 1144, 1570, 469, 1448, 735, 199, 1116, 594, 795, 1397, 259, 1168, 1144, 513, 1230, 163, 1128, 1668, 229, 1024, 984, 447, 1528, 681, 1621, 1538, 523, 707, 627, 967, 823, 171, 964, 257, 651, 496, 762, 727, 417, 601, 509, 509, 674, 16, 680, 1246, 505, 651, 692, 423, 566, 16, 169, 641, 704, 378, 16, 567, 486, 20, 680, 986, 1242, 936, 824, 591, 490, 20, 334, 765, 1362, 1023, 1419, 799, 486, 561, 936, 121, 975, 651, 377, 513, 936, 694, 555, 301, 866, 1049, 1684, 1225, 632, 1827, 658, 474, 1411, 147, 1489, 236, 1382, 98, 1370, 1221, 1588, 132, 1439, 943, 295, 1638, 117, 1660, 1642, 1772, 1798, 806, 1006, 1583, 525, 1719, 461, 1336, 1139, 1150, 1009, 492, 1627, 205, 1810, 298, 1394, 1513, 230, 1466, 788, 1001, 1568, 775, 1691, 848, 1757, 6, 1217, 1170, 356, 1701, 1099, 1535, 1668, 1153, 1276, 626, 1720, 711, 203, 1053, 1030, 1005, 1272, 1136, 1434, 1047, 1235, 1750, 804, 1731, 1112, 1192, 1434, 797, 286, 1473, 909, 1094, 1369, 1649, 591, 1096, 1468, 1043, 1056, 546, 1473, 1457, 1175, 1686, 153, 1665, 1505, 687, 1700, 256, 1263, 1050, 850, 519, 538, 1407, 509, 836, 131, 940, 1152, 711, 797, 1487, 172, 569, 471, 393, 1620, 1325, 134, 1790, 1217, 1212, 592, 510, 650, 6, 1027, 1126, 782, 682, 1685, 1552, 1605, 1631, 1012, 1051, 1035, 723, 1281, 999, 1300, 917, 1528, 92, 1662, 1074, 203, 1628, 1177, 926, 1134, 386, 1449, 903, 1076, 1180, 1102, 495, 105, 1573, 475, 1418, 425, 1010, 1801, 1294, 927, 1328, 1130, 173, 1281, 382, 82, 1720, 221, 1098, 210, 1393, 374, 1605, 1462, 437, 1172, 1063, 693, 1363, 328, 1175, 545, 1305, 1217, 647, 1104, 834, 1428, 1073, 1598, 1040, 807, 1168, 1081, 458, 1367, 90, 981, 1108, 437, 964, 91, 169, 1536, 17, 591, 417, 627, 496, 287, 601, 1242, 548, 247, 281, 1007, 454, 416, 964, 865, 1668, 838, 1375, 378, 881, 1475, 316, 1024, 693, 649, 1303, 199, 743, 905, 316, 1430, 490, 1010, 16, 523, 504, 933, 1707, 704, 612, 659, 257, 396, 418, 1038, 978, 1212, 1087, 1057, 1553, 376, 1578, 864, 781, 524, 1476, 768, 1149, 1436, 868, 1073, 1279, 697, 1073, 1421, 664, 687, 1741, 1509, 1113, 823, 1336, 1051, 918, 1158, 1064, 1768, 1414, 1505, 562, 548, 676, 681, 591, 504, 735, 496, 567, 624, 544, 630, 659, 257, 486, 417, 762, 17, 281, 566, 487, 504, 612, 496, 1764, 1590, 704, 845, 686, 620, 651, 1362, 984, 136, 1377, 338, 16, 1142, 624, 496, 534, 659, 585, 516, 975, 799, 861, 257, 680, 1142, 1348, 470, 1181, 779, 905, 1325, 818, 1282, 115, 926, 1053, 339, 682, 479, 1680, 1351, 1366, 1415, 510, 132, 1395, 848, 1781, 1367, 979, 1739, 1209, 400, 1030, 326, 1726, 1337, 809, 1806, 1241, 716, 1370, 917, 1214, 983, 830, 1175, 1584, 26, 1583, 1172, 996, 827, 800, 730, 479, 1245, 370, 1216, 158, 328, 917, 1010, 1459, 1792, 901, 1323, 802, 748, 1811, 1319, 845, 1088, 1061, 1043, 1256, 1194, 847, 1206, 422, 1201, 550, 236, 1656, 370, 1208, 443, 1754, 1493, 655, 1391, 1658, 1495, 822, 1481, 966, 752, 595, 1755, 988, 687, 1545, 1070, 1132, 1823, 307, 864, 1652, 174, 459, 1780, 1601, 128011, 128001 ]
[ 128000, 128002, 11787, 279, 4832, 5743, 304, 856, 9647, 13, 358, 3152, 11, 1427, 520, 1124, 13, 2435, 2351, 8967, 311, 387, 3871, 13, 2435, 2351, 2225, 432, 626, 268, 59432, 13, 1102, 596, 2216, 264, 21648, 422, 814, 7784, 956, 264, 5743, 13, 358, 3152, 11, 2586, 389, 13, 128003, 128005, 278, 526, 1065, 1264, 353, 967, 1119, 1045, 1170, 718, 1486, 882, 1381, 1203, 1325, 1257, 1466, 804, 470, 1397, 37, 378, 1003, 706, 171, 1321, 272, 1693, 1737, 1663, 1725, 1125, 475, 1703, 1335, 810, 301, 963, 266, 957, 1758, 400, 1794, 1793, 1212, 1789, 1260, 81, 1477, 112, 1374, 228, 150, 324, 1463, 1706, 1235, 1710, 1754, 1241, 1304, 1206, 263, 789, 1761, 157, 815, 1099, 1774, 1453, 400, 1661, 1738, 1278, 1803, 1746, 880, 827, 106, 1537, 741, 926, 1596, 1315, 1598, 1254, 1814, 1720, 1174, 747, 1708, 470, 191, 661, 1392, 1136, 1037, 893, 1351, 473, 1384, 242, 607, 1220, 879, 860, 755, 58, 1347, 282, 892, 1059, 1347, 1047, 592, 1491, 1112, 1211, 1373, 1397, 793, 1179, 1214, 965, 865, 1530, 1755, 1684, 361, 878, 1307, 1483, 711, 1103, 847, 1404, 843, 1009, 503, 334, 1342, 611, 1327, 1012, 1335, 742, 1821, 1646, 1257, 1549, 1497, 1138, 951, 1077, 822, 73, 1516, 886, 835, 1658, 1175, 1065, 979, 658, 466, 1781, 1520, 1822, 368, 1425, 1556, 1455, 1237, 1188, 977, 1258, 1535, 1620, 1333, 1448, 671, 1211, 752, 843, 431, 90, 651, 548, 638, 1725, 1288, 936, 1242, 624, 585, 1244, 169, 666, 712, 1478, 790, 1086, 1340, 181, 361, 901, 361, 135, 1257, 1136, 57, 1706, 943, 1356, 1789, 570, 662, 1645, 1618, 679, 560, 809, 218, 430, 1325, 430, 937, 1636, 1166, 1831, 1646, 1607, 1729, 10, 882, 713, 1166, 1001, 1332, 1320, 493, 184, 1612, 1035, 1728, 1530, 849, 892, 1827, 11, 1056, 615, 533, 599, 856, 1627, 1660, 1467, 404, 510, 870, 253, 1226, 685, 1180, 1647, 276, 1564, 0, 1664, 1084, 782, 1111, 1117, 1190, 380, 996, 1483, 1117, 642, 1437, 1797, 1155, 1788, 1825, 1356, 872, 1814, 1123, 1665, 41, 1197, 1238, 935, 1099, 733, 663, 661, 40, 717, 1419, 5, 1478, 334, 259, 743, 1123, 1028, 1451, 1118, 999, 1748, 1305, 1329, 1525, 924, 1568, 86, 724, 513, 638, 704, 670, 630, 561, 149, 1177, 1630, 303, 1425, 1410, 114, 563, 86, 414, 995, 955, 462, 1540, 1232, 1307, 1398, 200, 214, 1381, 1611, 1136, 515, 1728, 1729, 1827, 1344, 1277, 1260, 1443, 1190, 1042, 1310, 386, 321, 1226, 1258, 552, 940, 1193, 349, 618, 1486, 1139, 552, 48, 1214, 1457, 1452, 648, 1394, 1535, 129, 333, 1379, 1403, 466, 1237, 1364, 1345, 789, 640, 683, 1828, 117, 197, 1808, 1178, 809, 1739, 1135, 737, 679, 1275, 57, 1172, 93, 1309, 718, 1247, 617, 1646, 1417, 1006, 1282, 1745, 1043, 393, 610, 1342, 474, 1344, 1232, 76, 1203, 813, 768, 1671, 90, 1043, 1630, 1037, 546, 1774, 1367, 411, 865, 1058, 863, 1708, 982, 750, 973, 938, 1323, 1769, 510, 1741, 713, 1166, 1495, 1552, 1805, 1669, 1617, 1123, 837, 1404, 1108, 1009, 1779, 1130, 231, 1079, 1104, 1451, 1668, 1349, 1421, 1033, 881, 1063, 995, 772, 40, 423, 387, 879, 1711, 1077, 1731, 479, 1434, 1410, 132, 443, 1238, 1485, 1816, 1476, 1650, 1003, 1642, 1213, 1279, 1751, 1453, 1609, 1789, 1592, 166, 22, 50, 1450, 1665, 1310, 1764, 1078, 32, 844, 536, 32, 2, 733, 143, 471, 1083, 197, 155, 395, 719, 849, 1212, 367, 1406, 889, 1058, 634, 822, 1670, 356, 1422, 239, 253, 1720, 231, 1331, 1192, 1238, 1825, 1757, 884, 1731, 1646, 1375, 1304, 1225, 1813, 935, 418, 883, 516, 902, 1115, 1611, 772, 716, 1327, 1673, 1770, 767, 1322, 239, 1354, 751, 1654, 281, 513, 1504, 1752, 839, 1621, 1786, 41, 333, 1827, 1814, 1546, 1304, 1400, 1642, 1304, 1226, 1815, 1330, 1421, 1315, 818, 1130, 1490, 1745, 1707, 987, 459, 449, 396, 1043, 60, 516, 861, 624, 513, 487, 513, 659, 633, 1185, 1623, 1293, 1780, 1466, 1077, 1666, 1298, 1008, 1410, 1674, 1352, 1211, 1814, 1036, 1511, 1784, 1714, 1132, 1174, 610, 95, 1165, 783, 1633, 1414, 1133, 563, 1793, 1483, 1707, 1291, 1453, 1454, 1311, 475, 1318, 1291, 53, 1761, 806, 1399, 1832, 1019, 1532, 653, 636, 876, 1354, 1127, 1440, 1382, 709, 1639, 1650, 1647, 943, 1818, 1486, 1177, 82, 1801, 1171, 748, 1494, 1509, 1131, 1196, 1447, 1593, 1483, 1282, 1437, 1397, 1327, 1499, 929, 1092, 1301, 1448, 555, 156, 219, 219, 128011, 128001 ]
[ 128000, 128002, 15546, 1288, 584, 733, 449, 1828, 30, 2650, 922, 89140, 4290, 11, 889, 358, 4510, 574, 279, 1176, 36125, 311, 387, 6004, 505, 279, 63911, 71596, 13, 1283, 14224, 9922, 304, 279, 1176, 5818, 11, 499, 1440, 11, 1578, 11, 264, 961, 315, 279, 24160, 128003, 128005, 345, 401, 287, 1721, 1708, 1000, 1753, 1606, 728, 909, 319, 145, 1742, 1439, 807, 1620, 485, 1615, 949, 812, 882, 239, 739, 1126, 645, 962, 719, 1041, 972, 774, 1340, 949, 1394, 716, 1380, 1632, 1736, 1300, 1533, 217, 127, 802, 1754, 1451, 835, 1693, 344, 1829, 1018, 116, 770, 938, 827, 352, 1812, 1485, 475, 1598, 1651, 629, 1346, 1253, 913, 640, 205, 1715, 1646, 1625, 1669, 1766, 1100, 1176, 1661, 217, 1833, 1332, 1156, 1226, 1423, 1156, 1214, 917, 1817, 1729, 1700, 4, 848, 0, 4, 1777, 1517, 1200, 1105, 497, 949, 408, 105, 205, 203, 1711, 719, 1493, 1272, 797, 502, 521, 941, 1326, 1127, 1022, 483, 1409, 1701, 1105, 126, 1748, 1245, 1675, 1180, 173, 705, 1259, 711, 83, 1711, 1073, 310, 1675, 1040, 1469, 1466, 239, 701, 510, 1656, 1716, 719, 125, 935, 117, 98, 1754, 1344, 875, 1677, 1633, 1702, 1691, 1356, 1285, 711, 589, 1485, 271, 82, 1212, 370, 949, 1382, 126, 1818, 1226, 1301, 1043, 1489, 1379, 409, 1345, 1501, 636, 158, 1779, 183, 629, 1475, 1718, 1156, 286, 1507, 729, 929, 883, 460, 1714, 86, 1057, 1826, 1211, 1342, 1007, 1432, 1766, 1079, 1059, 1419, 516, 1037, 523, 223, 772, 1133, 1731, 816, 1047, 529, 809, 1701, 461, 1083, 833, 203, 702, 1395, 835, 272, 1064, 1464, 1688, 1487, 1162, 1240, 1240, 683, 631, 1058, 1761, 347, 1108, 648, 748, 1570, 1649, 959, 1234, 1306, 1297, 234, 48, 1552, 759, 1587, 183, 1394, 1688, 333, 1420, 1014, 1230, 248, 1789, 882, 1712, 844, 368, 1404, 863, 1798, 1496, 399, 1412, 1403, 1275, 1200, 1350, 738, 678, 126, 1267, 184, 600, 1175, 1241, 1221, 129, 52, 1027, 315, 1337, 1212, 1238, 1504, 1212, 1432, 1303, 1005, 1208, 1261, 173, 1272, 886, 569, 1629, 1259, 699, 856, 79, 730, 1351, 764, 787, 1638, 1218, 936, 1511, 1494, 947, 1682, 1227, 1127, 956, 800, 147, 55, 1166, 210, 1517, 393, 55, 1661, 1726, 1464, 1162, 1736, 1668, 1364, 1355, 1476, 1031, 429, 950, 18, 120, 962, 1081, 1628, 1766, 86, 1327, 1646, 1621, 409, 1337, 415, 372, 1476, 889, 911, 1124, 347, 104, 877, 1780, 372, 1613, 1684, 636, 1792, 1160, 1330, 340, 1729, 1093, 794, 1482, 1686, 759, 835, 1494, 520, 1084, 1215, 1126, 158, 1446, 1379, 1047, 830, 849, 123, 1581, 802, 1451, 775, 348, 1336, 636, 848, 1439, 7, 384, 1238, 409, 1808, 636, 1238, 1741, 713, 1660, 1284, 1580, 1321, 1164, 1059, 1289, 989, 1798, 1099, 117, 1801, 1496, 1287, 1822, 1057, 1769, 1279, 1370, 1780, 1305, 1669, 832, 676, 1080, 526, 1479, 1419, 1130, 1433, 873, 1235, 617, 820, 1542, 317, 1035, 29, 875, 368, 629, 924, 966, 564, 1360, 1301, 80, 578, 681, 495, 510, 1679, 1617, 1720, 977, 1745, 1235, 557, 1450, 700, 1787, 178, 621, 1644, 782, 917, 1250, 1596, 932, 1225, 617, 1768, 1394, 473, 749, 175, 1588, 175, 1753, 1622, 361, 1815, 626, 1697, 997, 1433, 1431, 461, 1357, 1473, 764, 1490, 1127, 1611, 1047, 1175, 1455, 1042, 1205, 1532, 738, 319, 310, 830, 1820, 250, 578, 1209, 60, 957, 1590, 1360, 1638, 229, 1099, 1195, 469, 878, 1213, 964, 1638, 1049, 772, 1154, 548, 694, 765, 121, 1512, 630, 1525, 1797, 631, 55, 1383, 570, 829, 1618, 791, 1122, 1029, 115, 1823, 152, 1226, 1263, 1286, 1339, 984, 685, 614, 1465, 549, 662, 176, 1596, 1450, 409, 714, 328, 409, 1349, 1470, 1820, 940, 644, 884, 29, 1760, 479, 1803, 1147, 556, 1312, 1825, 1740, 936, 1687, 1658, 1411, 745, 1275, 793, 57, 728, 802, 629, 1120, 813, 1050, 116, 928, 1081, 837, 937, 1631, 134, 1487, 1016, 1042, 1432, 1520, 1272, 32, 1075, 1040, 969, 1748, 368, 1761, 493, 1711, 1282, 231, 1667, 1436, 368, 1714, 849, 1091, 1303, 610, 916, 1412, 217, 455, 1497, 1365, 1333, 609, 1488, 1047, 687, 1497, 1238, 254, 848, 592, 295, 231, 631, 1718, 1573, 1439, 965, 821, 774, 1469, 1166, 1081, 1344, 1759, 466, 1664, 203, 1751, 98, 1824, 1715, 1819, 750, 1141, 1108, 746, 184, 952, 1786, 962, 1272, 1670, 26, 1311, 1652, 1495, 883, 501, 405, 674, 1284, 548, 1288, 505, 638, 620, 229, 168, 878, 396, 881, 1714, 630, 689, 1185, 885, 1214, 676, 28, 502, 1743, 1518, 438, 438, 1713, 378, 1617, 1738, 42, 1617, 1142, 1543, 1404, 1013, 1631, 58, 1420, 1175, 787, 1110, 1801, 1330, 1647, 1656, 1780, 1429, 1453, 1358, 1429, 1435, 1450, 1141, 1110, 1777, 1019, 1432, 66, 568, 1230, 1686, 750, 841, 1167, 911, 664, 1005, 1766, 466, 1395, 1733, 1698, 725, 1440, 1477, 1309, 1443, 587, 1195, 1049, 1330, 1428, 1006, 1305, 1400, 1658, 1458, 1172, 699, 1223, 1147, 801, 637, 1780, 1204, 996, 1167, 286, 1803, 806, 1367, 593, 1819, 1831, 900, 1064, 1819, 1352, 1656, 905, 95, 1360, 1662, 679, 304, 1498, 1422, 850, 1645, 1776, 1307, 1247, 461, 1087, 164, 1132, 254, 1325, 1243, 19, 1662, 1434, 714, 1436, 440, 67, 1034, 398, 870, 1325, 1042, 962, 834, 1568, 1587, 1491, 0, 1104, 1797, 990, 1260, 1399, 1333, 1139, 972, 554, 931, 1494, 1818, 787, 1228, 853, 1024, 1026, 1329, 835, 1532, 1274, 1339, 1164, 1668, 219, 156, 244, 244, 128011, 128001 ]
[ 128000, 128002, 26840, 11, 1633, 38678, 389, 1063, 315, 1521, 5144, 369, 279, 25761, 11, 719, 77085, 433, 1120, 43333, 1139, 856, 2010, 13, 128003, 128005, 1716, 1599, 486, 1769, 995, 516, 1657, 964, 651, 180, 513, 625, 1152, 17, 1231, 177, 436, 473, 1807, 1627, 1594, 1627, 368, 1708, 895, 1778, 1306, 349, 411, 500, 143, 973, 181, 55, 1325, 577, 583, 461, 510, 531, 1029, 1533, 514, 483, 807, 1012, 213, 455, 1740, 849, 648, 834, 1631, 18, 1620, 1261, 4, 1141, 1447, 865, 1210, 1496, 1806, 1347, 1302, 1234, 957, 1777, 709, 1362, 1619, 1472, 101, 1554, 751, 512, 105, 804, 846, 1056, 607, 1714, 502, 811, 726, 29, 893, 713, 455, 1703, 409, 662, 554, 952, 1800, 154, 1729, 1241, 713, 1774, 1018, 1535, 1741, 1146, 1122, 1666, 1139, 825, 1547, 1286, 949, 1366, 1621, 864, 1812, 546, 1008, 1644, 1444, 1643, 1552, 368, 1485, 1399, 1113, 813, 1790, 1056, 1368, 1743, 1800, 361, 1693, 1350, 1653, 15, 648, 298, 1468, 1651, 809, 1795, 774, 1548, 1022, 1555, 1047, 1693, 836, 1413, 1596, 1635, 319, 1813, 92, 1273, 920, 1381, 1563, 1802, 700, 667, 577, 1688, 1653, 1645, 1828, 1596, 1377, 1047, 786, 907, 1146, 1326, 1300, 1654, 997, 1664, 319, 737, 399, 1725, 123, 928, 98, 845, 1403, 1048, 176, 687, 175, 122, 1447, 1342, 1139, 1489, 999, 1483, 1324, 1295, 0, 644, 1565, 1326, 1056, 355, 949, 1813, 733, 447, 1185, 1745, 595, 1748, 1798, 1713, 1716, 1196, 809, 1312, 1382, 688, 495, 892, 1706, 1018, 203, 778, 787, 1791, 1217, 532, 1527, 1340, 716, 1639, 1445, 1243, 1529, 52, 609, 502, 1682, 1778, 1617, 1607, 1123, 595, 532, 1549, 949, 1764, 1711, 1673, 1255, 930, 1162, 1298, 632, 1136, 50, 1325, 1002, 1473, 286, 1833, 783, 6, 1257, 22, 1756, 1825, 1400, 1728, 1741, 117, 1103, 1790, 1196, 506, 1732, 225, 1671, 750, 1774, 30, 688, 1313, 980, 789, 1530, 938, 564, 1007, 1168, 42, 231, 1798, 1793, 822, 1553, 1313, 1349, 1144, 640, 1589, 1118, 1024, 594, 584, 247, 171, 1570, 1486, 1245, 1470, 1200, 858, 749, 969, 530, 820, 1788, 1463, 713, 0, 1027, 253, 1511, 62, 927, 1382, 308, 123, 1670, 382, 1280, 1506, 700, 1457, 14, 181, 1217, 202, 1825, 1691, 634, 1747, 0, 1682, 1817, 1459, 723, 1326, 697, 614, 1253, 1072, 565, 39, 116, 1395, 956, 1083, 1742, 1526, 1062, 929, 1682, 1565, 1002, 411, 1350, 1349, 1051, 1411, 1463, 126, 1004, 109, 1028, 1099, 1468, 268, 1629, 1126, 1245, 364, 374, 1027, 1166, 1136, 870, 1253, 1308, 773, 934, 1600, 1180, 1804, 382, 524, 604, 1066, 1310, 303, 1238, 958, 1275, 549, 95, 1056, 1497, 592, 1782, 932, 1682, 1785, 1199, 1714, 1455, 1621, 219, 165, 453, 219, 453, 167, 128011, 128001 ]
[ 128000, 128002, 4897, 1120, 43333, 1314, 1139, 856, 2010, 13, 358, 574, 1093, 11, 10035, 11, 430, 596, 23718, 1030, 13, 6914, 596, 733, 13, 128003, 128005, 544, 762, 199, 924, 1206, 95, 1221, 1399, 1139, 700, 36, 0, 512, 312, 634, 1166, 1653, 656, 779, 1146, 467, 1676, 213, 295, 202, 782, 1833, 333, 1737, 1826, 1513, 1832, 1573, 1510, 692, 1734, 162, 366, 1097, 239, 886, 1075, 955, 53, 186, 306, 816, 956, 441, 271, 215, 321, 466, 828, 1752, 1171, 1799, 1611, 1483, 1741, 715, 1704, 1232, 1004, 312, 1015, 312, 635, 1029, 1367, 560, 125, 1393, 232, 252, 767, 1047, 701, 217, 1386, 383, 203, 969, 782, 310, 1146, 520, 763, 1002, 478, 1687, 73, 41, 800, 73, 1029, 248, 1012, 76, 1380, 186, 1830, 697, 1411, 565, 1689, 579, 32, 570, 610, 1682, 370, 1143, 580, 556, 841, 1607, 725, 1323, 1438, 412, 1256, 1100, 147, 1481, 142, 1611, 855, 774, 1686, 987, 1651, 1437, 546, 132, 485, 519, 1186, 1086, 349, 949, 384, 41, 1588, 788, 1620, 1631, 1833, 1554, 976, 1716, 1599, 1701, 1007, 473, 750, 720, 1091, 65, 695, 47, 474, 104, 309, 370, 162, 82, 352, 152, 254, 366, 309, 424, 687, 609, 1015, 0, 320, 1166, 882, 1374, 1476, 1217, 1701, 1429, 1259, 550, 1778, 759, 1663, 1646, 1778, 1556, 1376, 782, 546, 631, 1735, 1139, 1664, 820, 1459, 1194, 1245, 221, 1261, 589, 483, 446, 847, 477, 1040, 408, 1485, 429, 1621, 723, 835, 1033, 719, 1770, 1129, 656, 123, 158, 454, 951, 1282, 39, 1374, 1423, 9, 1178, 536, 1723, 1172, 894, 869, 1317, 594, 1064, 1063, 981, 1282, 1771, 1313, 1753, 950, 1088, 1785, 1495, 1436, 1705, 999, 1711, 1418, 989, 1824, 1448, 1370, 1658, 1028, 1803, 223, 869, 80, 169, 1771, 396, 585, 1288, 603, 957, 1378, 600, 1168, 779, 938, 576, 1749, 1394, 1620, 344, 714, 22, 333, 1732, 1592, 1545, 1413, 1302, 1493, 1054, 714, 506, 34, 260, 1357, 719, 907, 834, 945, 917, 376, 1008, 1755, 154, 1197, 255, 683, 213, 1213, 444, 195, 1622, 480, 195, 174, 74, 1775, 617, 122, 728, 249, 1800, 255, 952, 1744, 1635, 1630, 598, 785, 1517, 1650, 54, 165, 219, 244, 244, 167, 128011, 128001 ]
[ 128000, 128002, 3112, 1566, 719, 539, 3325, 11, 3604, 912, 11, 2646, 38824, 11, 539, 1566, 11, 420, 374, 22862, 75, 38800, 889, 596, 279, 8706, 36125, 315, 1124, 682, 13, 1283, 596, 2751, 264, 8941, 315, 42742, 709, 1070, 323, 568, 596, 5128, 1790, 14918, 8967, 369, 279, 4027, 13, 128003, 128005, 1570, 680, 1410, 874, 1308, 328, 1180, 1819, 452, 1372, 1022, 202, 931, 1429, 903, 263, 818, 882, 245, 1087, 940, 135, 1083, 1022, 162, 1427, 104, 1497, 1488, 52, 1780, 753, 428, 1026, 409, 1449, 1409, 700, 127, 1752, 1647, 1301, 1458, 1258, 1726, 1372, 41, 1649, 1087, 835, 48, 1369, 1709, 1337, 1159, 429, 380, 961, 291, 422, 599, 330, 294, 159, 254, 245, 708, 248, 346, 1680, 714, 1743, 1394, 157, 749, 844, 1366, 495, 1588, 1737, 1699, 1164, 1424, 998, 475, 52, 1422, 1471, 117, 1494, 1718, 1407, 1243, 1485, 191, 1431, 57, 949, 1073, 1235, 907, 847, 1206, 1086, 1310, 57, 297, 1766, 521, 828, 1718, 983, 1796, 1350, 644, 1380, 1817, 1416, 126, 662, 1720, 1770, 1378, 315, 1533, 197, 920, 1725, 335, 449, 529, 1713, 245, 1323, 1747, 687, 1626, 863, 315, 1364, 328, 1513, 1385, 1097, 1431, 934, 46, 614, 95, 868, 475, 382, 1074, 1304, 1468, 1019, 1364, 400, 1732, 858, 1724, 1313, 0, 816, 576, 895, 1450, 742, 1627, 184, 758, 931, 1490, 1411, 783, 940, 1697, 1499, 741, 1444, 1640, 1462, 729, 1809, 1423, 1352, 1166, 1509, 1439, 825, 1735, 547, 727, 524, 1823, 1068, 1720, 1472, 679, 1491, 1030, 1739, 961, 1483, 996, 1312, 901, 1680, 860, 1310, 1502, 1647, 1422, 1336, 1476, 935, 1007, 1054, 671, 459, 1421, 163, 837, 963, 651, 1669, 449, 724, 387, 967, 1176, 1569, 1465, 1643, 513, 957, 1244, 936, 845, 1305, 644, 59, 781, 803, 763, 1709, 1488, 1403, 95, 1731, 1113, 777, 1078, 1423, 467, 1204, 1103, 1056, 1326, 1142, 1453, 836, 169, 926, 1743, 991, 1433, 65, 874, 1200, 107, 1611, 386, 1097, 997, 847, 1235, 983, 1212, 1444, 1492, 1563, 648, 1027, 183, 1422, 736, 1616, 1649, 736, 1641, 1434, 1664, 1145, 1707, 436, 1268, 1699, 1461, 1397, 636, 627, 1170, 1654, 1704, 1175, 1628, 1303, 1450, 1721, 1393, 1634, 717, 649, 967, 676, 1523, 1803, 79, 753, 1445, 700, 63, 127, 1283, 320, 320, 198, 230, 1476, 1403, 648, 376, 1678, 6, 774, 1679, 1300, 1625, 1744, 1759, 1690, 893, 1284, 214, 611, 1733, 1786, 628, 648, 1047, 407, 1337, 1473, 1287, 688, 1488, 856, 1472, 1732, 1810, 1436, 1155, 456, 234, 1698, 1056, 780, 1140, 1811, 1382, 700, 1646, 1766, 1373, 649, 368, 546, 1027, 349, 904, 302, 155, 1676, 1282, 1300, 977, 1400, 58, 1553, 1296, 126, 1249, 1459, 1432, 648, 506, 426, 1004, 850, 546, 1415, 652, 52, 519, 1552, 1660, 1360, 1547, 1327, 1007, 1402, 1347, 205, 1421, 205, 1744, 1490, 627, 1316, 444, 762, 42, 90, 460, 752, 150, 460, 177, 1236, 651, 216, 265, 1321, 1740, 1055, 543, 51, 488, 1618, 596, 741, 298, 310, 1779, 849, 1680, 996, 890, 1127, 52, 376, 1620, 154, 137, 556, 129, 502, 1436, 183, 1817, 1313, 1700, 1298, 524, 955, 1073, 215, 98, 1412, 210, 1794, 587, 616, 1422, 874, 617, 1707, 1813, 41, 1104, 719, 1108, 1110, 82, 1320, 573, 424, 1459, 441, 1008, 1793, 1526, 1268, 1314, 1806, 1057, 1532, 1083, 1115, 884, 341, 1793, 483, 877, 1351, 679, 1505, 1770, 1301, 674, 1475, 1193, 1206, 991, 1358, 402, 474, 695, 234, 252, 1787, 1059, 1280, 1336, 1817, 679, 1650, 1556, 1787, 1453, 1714, 93, 1630, 844, 1081, 1790, 1791, 182, 1440, 184, 1420, 934, 1509, 614, 1347, 730, 1402, 839, 1353, 1190, 102, 1045, 1150, 521, 1307, 1444, 907, 971, 312, 1108, 953, 516, 1162, 936, 1720, 1826, 1489, 1364, 1783, 1412, 1349, 1704, 1036, 1687, 1033, 1088, 1114, 1225, 1225, 490, 1255, 563, 548, 8, 538, 487, 704, 1071, 1366, 1360, 775, 377, 679, 325, 127, 654, 1618, 1600, 399, 1719, 1543, 1303, 477, 22, 571, 1046, 1086, 146, 1220, 1131, 402, 1180, 984, 110, 1197, 1291, 157, 1256, 733, 966, 1765, 936, 1367, 519, 1436, 52, 1797, 1410, 1282, 1665, 1404, 1232, 1187, 1180, 607, 1327, 184, 810, 1393, 611, 976, 777, 670, 828, 795, 109, 559, 1213, 251, 1639, 1197, 1052, 1663, 982, 1340, 959, 348, 978, 637, 1397, 203, 404, 1340, 832, 400, 706, 426, 1630, 1373, 1552, 1387, 26, 882, 1316, 83, 1663, 931, 657, 782, 1206, 1487, 1827, 1093, 1328, 1704, 1414, 1739, 1737, 1770, 1565, 1260, 1770, 446, 1816, 592, 708, 1441, 560, 1424, 346, 1226, 552, 990, 352, 902, 39, 832, 604, 1014, 966, 1786, 932, 1254, 1517, 188, 1099, 978, 1279, 362, 891, 1329, 1701, 1211, 454, 1704, 1028, 1057, 984, 431, 1038, 470, 694, 331, 971, 1242, 936, 670, 418, 693, 1774, 400, 1206, 1410, 1785, 903, 1359, 1416, 344, 1389, 1021, 1427, 1549, 1684, 182, 431, 1726, 362, 805, 521, 418, 1506, 319, 1778, 749, 122, 1436, 1283, 328, 1714, 1363, 1359, 1703, 1529, 1145, 1522, 1609, 585, 101, 1380, 766, 1512, 751, 16, 505, 601, 450, 513, 751, 1362, 970, 1338, 1689, 86, 1114, 1352, 744, 851, 490, 976, 1793, 1112, 1192, 738, 1156, 1296, 1357, 595, 1518, 952, 529, 770, 668, 1034, 688, 1266, 117, 662, 1176, 632, 1109, 1532, 855, 1056, 1230, 621, 1422, 385, 1425, 231, 1331, 230, 493, 1743, 18, 1795, 1810, 1393, 86, 1408, 1172, 807, 704, 1121, 1092, 793, 1511, 1801, 669, 438, 1525, 694, 905, 465, 630, 627, 1016, 680, 1142, 257, 681, 505, 351, 603, 20, 513, 673, 496, 568, 692, 544, 729, 1121, 1306, 389, 914, 853, 1359, 959, 694, 1340, 1093, 767, 1161, 203, 1769, 726, 1399, 201, 143, 856, 1532, 1012, 1256, 529, 742, 1430, 1300, 312, 1419, 1403, 269, 1819, 1139, 203, 1644, 1300, 1336, 398, 1312, 1091, 1674, 1818, 362, 709, 1120, 1459, 1796, 870, 593, 591, 1075, 1795, 944, 1083, 596, 1258, 1056, 1395, 521, 454, 1015, 1718, 1221, 1408, 1498, 17, 1607, 415, 1300, 6, 1217, 1448, 1580, 1634, 1543, 1777, 826, 1216, 1264, 302, 1707, 1624, 1625, 362, 1741, 1367, 1238, 1479, 1476, 485, 1432, 1668, 1318, 427, 450, 635, 304, 1323, 199, 783, 287, 730, 591, 248, 957, 965, 1701, 1100, 1738, 959, 65, 1687, 1032, 1351, 774, 1252, 1519, 966, 1415, 131, 1323, 1475, 187, 1295, 852, 1417, 1407, 765, 182, 1120, 1784, 47, 1359, 1794, 687, 274, 1789, 320, 795, 1680, 931, 785, 1013, 1450, 1676, 1422, 231, 1067, 1451, 1685, 1360, 333, 1108, 1328, 1173, 829, 736, 306, 1261, 552, 320, 708, 1532, 371, 1448, 76, 1250, 93, 1168, 380, 86, 282, 1138, 549, 644, 901, 1473, 1328, 549, 783, 1379, 972, 1104, 1371, 1668, 1382, 810, 1259, 1809, 219, 165, 244, 244, 128011, 128001 ]
[ 128000, 128002, 849, 1303, 84, 39672, 77072, 519, 955, 3245, 1405, 568, 9711, 704, 279, 27176, 14224, 449, 813, 11191, 13192, 13, 128003, 128005, 509, 334, 674, 1168, 1207, 1797, 1403, 1100, 746, 1069, 1634, 409, 1485, 356, 315, 1053, 198, 1027, 636, 448, 1430, 990, 19, 818, 1057, 1040, 200, 1341, 990, 1082, 217, 1381, 1021, 175, 455, 1433, 938, 1022, 629, 1705, 1002, 536, 1825, 1018, 1503, 631, 1018, 1351, 335, 1395, 1034, 308, 1391, 1256, 217, 647, 999, 1296, 557, 1481, 648, 647, 1306, 57, 853, 1519, 443, 1092, 1382, 662, 1479, 856, 534, 813, 673, 934, 776, 1160, 1019, 1688, 1394, 749, 315, 719, 1067, 1412, 1165, 1303, 173, 1666, 595, 545, 1278, 607, 1282, 1295, 844, 803, 1082, 742, 1205, 1444, 1128, 903, 1622, 1027, 1463, 1238, 1341, 1225, 1365, 1719, 1659, 1789, 409, 1241, 1313, 639, 1223, 1125, 386, 1494, 927, 1686, 599, 1058, 849, 917, 1408, 1769, 1727, 239, 1546, 1309, 176, 1681, 1405, 1580, 1477, 1245, 656, 191, 344, 412, 1724, 549, 1312, 980, 864, 1502, 989, 1764, 1326, 1729, 1490, 1665, 1436, 1449, 781, 1690, 1471, 1772, 1045, 1120, 1069, 733, 1325, 742, 1731, 1382, 1167, 1303, 1240, 1341, 1699, 1147, 1461, 1436, 804, 1451, 1611, 1255, 1341, 1573, 438, 529, 1512, 1830, 1240, 1510, 1645, 175, 1737, 1453, 786, 86, 676, 811, 561, 1033, 216, 914, 396, 523, 1648, 174, 1480, 1480, 936, 561, 676, 754, 1343, 1384, 1775, 1573, 1581, 1265, 1821, 1381, 1663, 1007, 37, 762, 891, 1707, 1278, 1277, 1223, 926, 1342, 1014, 758, 1321, 950, 233, 631, 1770, 19, 1200, 1326, 1282, 1304, 931, 1791, 1433, 1121, 758, 1813, 1422, 1766, 1443, 1448, 949, 1678, 231, 1777, 989, 1354, 938, 1027, 1223, 1297, 880, 1213, 79, 1005, 1154, 441, 931, 1118, 997, 595, 548, 797, 714, 1456, 1089, 1498, 792, 29, 1644, 362, 448, 510, 1671, 1466, 1066, 1268, 934, 665, 1108, 524, 1197, 1275, 565, 1079, 1058, 1075, 859, 1222, 1230, 1124, 1524, 1357, 117, 987, 1175, 952, 1535, 132, 1300, 213, 631, 788, 4, 1372, 1770, 1221, 1369, 884, 191, 1817, 1460, 1231, 1326, 686, 937, 1752, 1013, 1772, 1595, 1248, 938, 1738, 632, 1790, 1453, 1374, 749, 1677, 654, 714, 1678, 731, 1799, 1255, 1431, 1338, 1083, 1349, 160, 806, 1064, 1203, 1141, 522, 1746, 446, 1188, 1086, 208, 1181, 1280, 1259, 1554, 1690, 230, 631, 556, 198, 546, 1410, 1407, 1304, 868, 1546, 1581, 1808, 1678, 1749, 1451, 1735, 869, 1585, 1293, 1642, 409, 714, 543, 1519, 1481, 117, 1316, 1264, 570, 632, 4, 1261, 1819, 483, 1724, 1058, 930, 639, 98, 1772, 1444, 1785, 1573, 338, 1822, 1820, 1259, 581, 1456, 1730, 156, 165, 244, 244, 128011, 128001 ]
[ 128000, 128002, 4516, 11, 44844, 11, 420, 832, 2751, 312, 5621, 4778, 369, 17781, 76, 977, 449, 264, 3776, 19689, 11, 1314, 1070, 13, 128003, 128005, 1288, 939, 1474, 1549, 1621, 654, 1217, 344, 357, 1364, 889, 335, 1818, 1097, 13, 488, 1409, 1057, 1195, 79, 618, 1384, 1355, 1200, 200, 488, 480, 1752, 1201, 836, 125, 326, 1624, 985, 102, 1416, 1005, 958, 576, 155, 1477, 1040, 1426, 1136, 1521, 1246, 1206, 895, 787, 659, 1342, 1019, 1359, 1649, 835, 820, 1732, 804, 1035, 98, 1360, 1588, 734, 1021, 836, 48, 176, 1241, 1141, 529, 195, 1541, 69, 155, 41, 293, 74, 1389, 1021, 687, 949, 416, 46, 570, 7, 137, 1053, 213, 549, 962, 213, 782, 769, 202, 726, 10, 1310, 1412, 1624, 1830, 867, 1617, 1479, 1529, 1145, 928, 1551, 933, 1557, 1538, 584, 1557, 377, 712, 417, 630, 1803, 1743, 1196, 1452, 1604, 1663, 1485, 1746, 1455, 1624, 1697, 920, 1460, 98, 949, 1330, 1230, 1361, 1698, 529, 312, 1493, 1320, 1260, 1298, 175, 1365, 298, 1515, 1520, 127, 988, 421, 1769, 1503, 1313, 870, 610, 293, 36, 1350, 1182, 958, 270, 433, 1402, 800, 115, 1258, 637, 1280, 1180, 1235, 1464, 1051, 1310, 1234, 42, 876, 1829, 1081, 981, 1221, 709, 1268, 1453, 1493, 47, 748, 1720, 1217, 1294, 780, 1452, 1509, 1221, 815, 1742, 1460, 850, 1344, 1463, 1526, 483, 1443, 1221, 1366, 1537, 1625, 644, 1751, 833, 1227, 448, 29, 1689, 1616, 1658, 440, 1311, 1588, 409, 1744, 308, 104, 822, 69, 592, 884, 448, 1754, 1547, 1654, 694, 404, 1430, 884, 796, 976, 554, 668, 1512, 1609, 1601, 1519, 333, 1688, 962, 1627, 1225, 713, 1327, 701, 34, 1589, 1513, 1479, 984, 819, 1764, 1378, 289, 214, 663, 1405, 1326, 214, 1144, 1624, 629, 1489, 775, 78, 1235, 1706, 1221, 804, 1009, 361, 1612, 1359, 787, 32, 117, 909, 1565, 217, 733, 1451, 92, 312, 1801, 1313, 1792, 687, 515, 481, 1116, 229, 1367, 1439, 623, 1449, 1826, 1162, 1074, 493, 158, 1516, 930, 1054, 510, 455, 1516, 1511, 1481, 846, 742, 1792, 1498, 959, 822, 1048, 1051, 1280, 1382, 1049, 1209, 903, 804, 1755, 898, 174, 459, 1686, 575, 875, 1034, 467, 1584, 1450, 1540, 1805, 1660, 1553, 1309, 1337, 1209, 1217, 1261, 1141, 619, 860, 1369, 645, 657, 1696, 1513, 850, 1822, 266, 444, 392, 1158, 1465, 1324, 1047, 1550, 321, 1301, 1596, 757, 1588, 260, 1786, 339, 1333, 146, 1177, 53, 948, 53, 1671, 210, 558, 147, 1800, 609, 385, 1462, 1823, 1505, 1029, 1412, 1121, 1797, 1258, 688, 1145, 767, 109, 1228, 1081, 1639, 1323, 895, 1058, 1329, 521, 1647, 483, 1471, 1056, 1651, 887, 502, 1808, 910, 1718, 635, 1664, 55, 322, 1458, 1049, 787, 615, 1787, 0, 1776, 771, 415, 1403, 884, 409, 117, 1387, 631, 1687, 1283, 1638, 1667, 546, 1255, 1664, 1644, 785, 1529, 1669, 1553, 1475, 974, 967, 811, 1316, 637, 1311, 1310, 1773, 1372, 940, 1765, 1415, 1657, 1564, 1199, 1595, 1003, 1600, 1748, 1486, 1272, 1680, 1206, 308, 1156, 1149, 346, 1118, 699, 178, 1620, 1271, 1325, 831, 1489, 905, 953, 1282, 1293, 156, 219, 219, 128011, 128001 ]
[ 128000, 128002, 4516, 358, 1781, 584, 1436, 1120, 35840, 430, 814, 2351, 279, 1890, 11, 1606, 16280, 814, 527, 13, 128003, 128005, 345, 680, 337, 1567, 1738, 1571, 154, 1681, 1021, 1448, 1222, 1181, 1492, 653, 495, 825, 1803, 239, 1295, 1164, 1368, 1168, 184, 1821, 1585, 1352, 1448, 1039, 1194, 1730, 1468, 1093, 1524, 196, 876, 544, 1068, 513, 361, 504, 593, 1738, 643, 887, 435, 1026, 1626, 27, 355, 1035, 1821, 1021, 1484, 1168, 225, 990, 1472, 1800, 275, 251, 899, 121, 1650, 404, 1711, 175, 527, 1477, 930, 1030, 1621, 1534, 868, 633, 1001, 1403, 1062, 1558, 493, 1660, 6, 599, 1034, 198, 1364, 546, 26, 1568, 778, 28, 485, 10, 1637, 962, 858, 1393, 454, 1701, 1495, 1238, 1244, 1215, 1685, 866, 1617, 1176, 899, 426, 1185, 799, 465, 832, 975, 696, 651, 1419, 59, 1142, 1585, 1825, 1134, 1821, 829, 1260, 372, 312, 1496, 1700, 160, 1079, 1719, 735, 865, 1518, 183, 189, 764, 581, 1002, 1611, 231, 1735, 1393, 872, 1232, 665, 221, 774, 854, 816, 1078, 870, 41, 328, 158, 1764, 1057, 1712, 126, 1584, 1661, 1277, 1665, 1558, 1676, 416, 1506, 1511, 510, 1084, 1439, 1780, 1801, 1665, 1780, 378, 1360, 984, 933, 1262, 523, 766, 673, 751, 668, 1746, 1404, 1161, 1008, 1749, 1225, 1365, 1025, 1057, 1068, 923, 650, 737, 1796, 1029, 926, 1379, 1136, 1736, 948, 961, 1091, 1263, 1777, 1088, 1019, 1465, 1478, 970, 672, 1806, 1589, 1283, 239, 802, 1370, 1458, 1510, 1809, 578, 820, 693, 207, 1367, 1070, 726, 1414, 691, 1329, 396, 1168, 1303, 601, 689, 1096, 885, 1355, 396, 1168, 1793, 651, 1120, 845, 630, 686, 936, 585, 487, 523, 325, 986, 627, 1570, 936, 284, 988, 42, 1718, 1060, 1053, 1645, 1675, 1532, 1013, 1647, 995, 1150, 1808, 1771, 1653, 154, 725, 541, 315, 1450, 541, 1519, 1438, 1147, 1476, 1372, 725, 1573, 1304, 1646, 1339, 1642, 703, 899, 1146, 742, 64, 1168, 1017, 1305, 1002, 302, 85, 890, 1828, 1616, 920, 1625, 1753, 1324, 1304, 1278, 1076, 903, 183, 1081, 395, 921, 1050, 798, 177, 1035, 514, 1751, 483, 1176, 466, 1383, 1047, 1382, 1266, 1473, 1468, 1185, 113, 1660, 1801, 236, 878, 1045, 1485, 117, 1697, 1098, 1209, 1277, 1459, 1066, 1210, 521, 1438, 1044, 547, 1705, 1077, 271, 1805, 1224, 944, 1581, 1195, 1351, 835, 1707, 1815, 250, 929, 1032, 171, 1079, 66, 1154, 971, 396, 1419, 1007, 1705, 694, 1517, 1805, 219, 165, 453, 244, 128011, 128001 ]
[ 128000, 128002, 3112, 358, 1781, 430, 596, 682, 279, 59432, 430, 617, 1027, 6004, 13, 358, 1253, 617, 13942, 832, 1606, 856, 5044, 374, 539, 57492, 13, 128003, 128005, 1634, 970, 1788, 1538, 744, 426, 1011, 1106, 1120, 1200, 1439, 931, 1075, 1018, 1407, 996, 648, 787, 1073, 934, 1253, 1247, 1089, 357, 1136, 775, 1470, 1610, 1397, 1744, 1810, 1027, 1051, 656, 153, 1502, 1533, 890, 1762, 1039, 182, 776, 888, 1625, 1782, 1498, 1209, 1447, 320, 664, 1731, 380, 825, 1382, 388, 58, 1083, 736, 1660, 1313, 132, 362, 858, 687, 1795, 1777, 1626, 1699, 1627, 1609, 1199, 977, 1140, 1350, 1194, 887, 234, 1087, 983, 552, 518, 367, 545, 913, 293, 1307, 1019, 495, 1001, 904, 113, 93, 388, 886, 1494, 872, 621, 1560, 948, 1086, 1761, 816, 621, 1404, 958, 159, 1598, 791, 260, 397, 1117, 1122, 182, 443, 530, 1714, 1645, 1411, 844, 1378, 1686, 711, 474, 520, 705, 1036, 956, 491, 22, 1344, 530, 1303, 1537, 1771, 1134, 1148, 57, 536, 893, 602, 1047, 385, 328, 775, 1552, 577, 1616, 1387, 1600, 642, 898, 1094, 260, 1676, 560, 9, 790, 1190, 1345, 203, 493, 133, 781, 1196, 71, 1232, 674, 703, 578, 338, 1360, 1110, 82, 648, 388, 1402, 382, 367, 1409, 1411, 1443, 679, 1366, 1520, 1175, 1086, 1775, 1075, 703, 949, 143, 662, 1255, 1005, 644, 1609, 809, 1239, 1015, 670, 856, 247, 1081, 1145, 1138, 1718, 988, 485, 909, 990, 1574, 1365, 1744, 1375, 1820, 448, 203, 1693, 440, 1365, 654, 1427, 713, 1312, 793, 1340, 1812, 448, 1240, 26, 198, 1411, 1283, 176, 1699, 793, 1190, 1210, 1611, 797, 901, 1761, 1423, 493, 297, 1792, 1349, 952, 363, 1250, 742, 345, 1726, 60, 634, 564, 888, 864, 1291, 990, 806, 1401, 1215, 1770, 864, 1559, 1083, 886, 1404, 1107, 428, 952, 913, 1028, 1724, 444, 666, 1795, 444, 1085, 302, 131, 1670, 355, 767, 359, 938, 1345, 783, 239, 1349, 1452, 1618, 230, 519, 368, 124, 1798, 1600, 930, 1367, 1667, 1770, 783, 1236, 1673, 98, 1236, 1825, 225, 5, 1358, 607, 1534, 1429, 1473, 1221, 1463, 1436, 1435, 752, 1238, 1445, 562, 1408, 1497, 381, 1536, 1158, 285, 1504, 174, 766, 1321, 171, 431, 42, 1809, 1513, 1457, 1365, 1085, 1542, 1508, 1354, 861, 866, 344, 1268, 750, 1714, 1199, 1110, 635, 1354, 1235, 1389, 1741, 1542, 1127, 1621, 1155, 836, 986, 1291, 895, 1382, 1035, 409, 882, 485, 202, 1375, 166, 1337, 1528, 26, 1699, 1383, 1603, 691, 1577, 1536, 704, 1717, 1293, 896, 1705, 316, 743, 655, 423, 1479, 548, 1639, 1474, 523, 896, 1262, 1322, 85, 301, 669, 274, 891, 1570, 751, 712, 691, 717, 1016, 866, 1003, 1151, 555, 121, 257, 316, 799, 1585, 1553, 862, 584, 516, 704, 301, 591, 975, 681, 1362, 762, 513, 16, 651, 670, 766, 1478, 1465, 567, 601, 544, 984, 1652, 1015, 1762, 1411, 361, 989, 700, 1672, 966, 151, 907, 151, 1015, 311, 203, 1277, 948, 1304, 892, 1621, 787, 1686, 75, 910, 672, 653, 1793, 1446, 1263, 673, 1107, 1829, 134, 813, 257, 1100, 701, 831, 1146, 1339, 1776, 274, 787, 1359, 1221, 554, 202, 175, 652, 1641, 1810, 1813, 1741, 1068, 1611, 1389, 1487, 1325, 1113, 1358, 1820, 361, 719, 1650, 1735, 1790, 1322, 1432, 1532, 1798, 1535, 1721, 1200, 1397, 1069, 1572, 1382, 1352, 1358, 1500, 1141, 1297, 1731, 969, 1256, 1541, 1156, 1298, 1493, 1677, 1402, 1266, 1022, 1405, 909, 1322, 737, 1418, 1267, 845, 1720, 109, 1274, 1622, 853, 1007, 1630, 734, 717, 988, 1233, 1677, 1246, 156, 156, 244, 244, 128011, 128001 ]
[ 128000, 128002, 3112, 433, 3604, 374, 10015, 323, 39612, 11, 358, 1120, 617, 779, 1790, 358, 617, 311, 6227, 13, 128003, 128005, 740, 1152, 1419, 1763, 681, 649, 42, 1265, 1088, 386, 1733, 1027, 806, 1344, 767, 1155, 864, 502, 1825, 1435, 52, 1800, 811, 407, 293, 1275, 380, 1100, 380, 1304, 43, 775, 1278, 1473, 1453, 927, 1776, 1241, 430, 1035, 493, 1427, 1178, 583, 836, 1588, 1656, 592, 1533, 575, 1635, 1009, 1051, 67, 341, 1590, 911, 13, 1615, 315, 286, 399, 362, 1809, 634, 1685, 1707, 1238, 1428, 902, 1448, 1199, 411, 984, 454, 539, 1528, 47, 355, 1009, 302, 1691, 519, 1761, 927, 1710, 1752, 1459, 1443, 1042, 1459, 703, 1817, 1680, 1252, 1511, 892, 1251, 1330, 1314, 1243, 1282, 359, 1282, 632, 1746, 816, 1019, 1797, 1323, 964, 789, 1478, 1008, 1675, 970, 143, 1517, 1014, 1389, 915, 705, 1129, 1275, 236, 1309, 1109, 1160, 1155, 870, 935, 1637, 1630, 1439, 994, 1027, 1015, 1616, 510, 1470, 448, 1376, 495, 1434, 93, 1541, 1002, 1497, 1056, 1749, 1534, 1799, 1732, 1760, 1018, 1282, 26, 510, 1215, 166, 870, 1290, 335, 533, 507, 1459, 1318, 105, 1750, 349, 269, 1808, 806, 1312, 1004, 1541, 1463, 1511, 1598, 1345, 1417, 1792, 547, 803, 1431, 1117, 840, 1261, 1361, 385, 1651, 1820, 1270, 780, 1754, 1077, 1171, 411, 1749, 573, 915, 937, 768, 1277, 364, 1197, 1339, 1636, 319, 1824, 1611, 1799, 1385, 1166, 1168, 1770, 1232, 1412, 583, 1355, 1401, 1065, 1235, 1620, 639, 1312, 1406, 927, 1732, 1661, 632, 1486, 364, 1056, 1322, 909, 1393, 875, 774, 256, 41, 1707, 839, 1261, 804, 1122, 510, 98, 1385, 1792, 174, 1316, 1158, 1517, 878, 139, 165, 244, 219, 128011, 128001 ]
[ 128000, 128002, 4516, 379, 12791, 7752, 11, 9901, 499, 779, 1790, 369, 10307, 420, 2835, 13, 358, 656, 1390, 311, 3041, 264, 4062, 2697, 17480, 389, 279, 1614, 315, 279, 16795, 423, 4638, 5613, 13, 45446, 358, 3077, 17454, 264, 2763, 315, 4860, 31445, 1093, 16795, 423, 4638, 11, 1148, 7077, 311, 682, 1884, 6946, 499, 1051, 2133, 311, 3335, 30, 1472, 1047, 779, 1690, 389, 701, 2835, 9899, 304, 279, 922, 3857, 315, 701, 5613, 323, 1243, 499, 1120, 7108, 682, 315, 1124, 3734, 369, 832, 13, 128003, 128005, 597, 1120, 883, 1005, 1831, 725, 409, 994, 243, 856, 1431, 100, 1066, 783, 100, 1115, 135, 679, 1710, 802, 1055, 944, 973, 49, 497, 545, 170, 1753, 1258, 944, 556, 1402, 789, 132, 124, 1002, 1296, 1717, 1226, 1679, 1475, 1212, 895, 1611, 719, 1634, 1223, 1573, 1419, 1079, 1362, 805, 1479, 1654, 1437, 1311, 162, 79, 86, 276, 46, 203, 1049, 372, 10, 1463, 1299, 245, 1257, 1641, 1345, 1238, 1618, 7, 519, 409, 276, 1450, 10, 231, 1649, 236, 909, 228, 1267, 2, 1356, 1502, 479, 1483, 1497, 549, 934, 909, 270, 1224, 412, 787, 844, 1453, 1791, 665, 1332, 790, 858, 1466, 656, 1748, 1583, 1139, 1232, 1111, 720, 1340, 858, 977, 904, 529, 1245, 953, 1310, 589, 657, 697, 474, 300, 210, 200, 422, 983, 943, 1253, 1366, 452, 794, 1166, 599, 1720, 858, 1174, 1069, 320, 1678, 1498, 1300, 1537, 1366, 1615, 1368, 1403, 1415, 1350, 890, 1636, 507, 181, 848, 189, 687, 1651, 1034, 1485, 952, 1637, 1337, 1026, 999, 349, 112, 1728, 701, 1773, 1463, 1432, 796, 388, 63, 1409, 308, 1320, 695, 51, 1697, 604, 408, 125, 1502, 1400, 514, 1339, 1397, 1726, 1666, 1738, 1666, 1067, 1459, 1683, 1230, 1404, 1181, 1130, 1112, 301, 1154, 259, 247, 1443, 1232, 927, 996, 57, 1533, 748, 1664, 943, 1646, 372, 1014, 1008, 129, 671, 286, 1620, 904, 1698, 844, 1308, 1030, 361, 407, 794, 972, 467, 110, 1353, 687, 1407, 1147, 714, 1758, 1221, 1789, 481, 1687, 1272, 870, 870, 1077, 356, 966, 1147, 886, 1275, 1535, 952, 1248, 347, 951, 1342, 510, 1258, 882, 454, 931, 293, 1281, 802, 1082, 952, 1764, 1513, 1352, 1668, 1774, 1064, 1399, 1483, 1806, 1278, 1704, 1292, 1724, 1046, 705, 514, 836, 18, 1466, 1041, 297, 780, 1715, 732, 1367, 1815, 1367, 1521, 1697, 1776, 1645, 959, 1765, 1456, 1189, 1670, 1493, 13, 473, 1330, 903, 1789, 1081, 945, 803, 783, 1607, 1424, 1498, 1686, 1069, 361, 1365, 1351, 1494, 1477, 1171, 1141, 1638, 969, 1295, 1074, 1785, 1415, 1482, 738, 1134, 1600, 1729, 310, 1784, 884, 1516, 1336, 938, 1615, 835, 938, 127, 1253, 411, 808, 579, 910, 1031, 642, 1008, 1500, 949, 876, 1794, 1427, 1820, 1439, 1384, 1444, 416, 298, 4, 510, 1710, 230, 1400, 1524, 1376, 1681, 1310, 1044, 1472, 356, 1663, 946, 407, 1345, 1357, 648, 1494, 1453, 1660, 1534, 786, 124, 1061, 510, 1462, 1206, 1420, 1755, 1632, 1702, 1385, 1220, 9, 1799, 664, 1487, 1286, 1335, 1300, 203, 1818, 874, 961, 1353, 882, 269, 1479, 1082, 191, 134, 1528, 502, 1243, 1327, 1345, 730, 1785, 362, 92, 448, 190, 400, 213, 658, 927, 69, 886, 50, 154, 1375, 1363, 1654, 1228, 1024, 1046, 870, 113, 341, 867, 769, 107, 856, 713, 1282, 940, 15, 949, 687, 1615, 1407, 1615, 1323, 1292, 1651, 1517, 1751, 1456, 1010, 1205, 1051, 1110, 880, 127, 1403, 173, 1427, 1241, 173, 1825, 886, 475, 1625, 1355, 1105, 234, 917, 1753, 1203, 1260, 1240, 1460, 126, 1826, 1470, 1712, 1217, 1718, 1720, 1786, 1380, 1648, 1652, 1076, 981, 86, 564, 559, 964, 921, 99, 311, 1052, 118, 1302, 1353, 1748, 713, 1015, 1692, 731, 1710, 1243, 1578, 1629, 1386, 1609, 1702, 634, 398, 408, 939, 822, 439, 1039, 700, 1449, 1283, 153, 1027, 124, 1641, 519, 937, 1565, 4, 297, 1650, 1527, 126, 1569, 1753, 86, 1031, 82, 502, 173, 1663, 172, 1087, 658, 1493, 774, 1704, 1590, 1036, 1337, 1220, 599, 520, 1657, 1825, 1025, 1632, 1632, 0, 11, 1197, 527, 993, 1053, 11, 1298, 1656, 1057, 552, 1756, 599, 1083, 1139, 1041, 697, 1364, 123, 1762, 1436, 297, 1069, 1344, 1229, 949, 1426, 312, 1719, 1663, 875, 1746, 1821, 1668, 927, 1820, 1104, 782, 1704, 979, 719, 1495, 979, 1751, 1104, 493, 1428, 1082, 1752, 981, 885, 978, 724, 1713, 1707, 1146, 1363, 938, 533, 333, 1462, 1129, 1005, 806, 969, 1439, 738, 672, 639, 803, 913, 1332, 1318, 985, 1256, 9, 996, 757, 775, 13, 1389, 1078, 1426, 1402, 1258, 1409, 1340, 600, 972, 467, 1256, 800, 880, 705, 260, 491, 422, 609, 944, 656, 1042, 1742, 1399, 1490, 1324, 1437, 1785, 1247, 1779, 1430, 1808, 1198, 695, 477, 93, 388, 1247, 300, 626, 1069, 687, 1022, 1366, 349, 1457, 714, 1027, 1649, 1097, 1100, 714, 639, 1680, 1400, 1263, 1620, 1521, 1358, 1524, 132, 348, 124, 230, 1808, 966, 910, 395, 157, 1827, 800, 631, 1280, 67, 143, 1353, 1004, 853, 1741, 1753, 1392, 1221, 1069, 1417, 1217, 1087, 2, 1678, 1291, 483, 1686, 1335, 550, 1663, 849, 892, 828, 980, 1492, 748, 1803, 1796, 1706, 749, 1539, 1226, 1345, 1755, 631, 473, 770, 1221, 33, 1447, 1524, 1615, 1787, 1499, 230, 1789, 998, 920, 415, 1431, 1215, 1776, 1491, 1681, 777, 1466, 609, 777, 110, 215, 1308, 498, 1066, 1053, 764, 937, 1403, 1368, 1635, 878, 1166, 1075, 123, 1742, 62, 614, 1696, 22, 1520, 1752, 1817, 1227, 1215, 1823, 1752, 28, 1785, 1313, 1583, 1632, 1355, 1769, 976, 1798, 1233, 1010, 1658, 1103, 899, 1274, 258, 785, 1158, 729, 1537, 1252, 1493, 840, 860, 937, 592, 107, 733, 452, 41, 794, 1252, 1382, 324, 991, 632, 329, 386, 699, 208, 282, 829, 1237, 1661, 1704, 19, 1237, 1174, 759, 882, 1409, 1068, 202, 117, 1381, 1686, 1113, 547, 1326, 1698, 1498, 1092, 1671, 1258, 1745, 1119, 708, 1794, 880, 374, 200, 757, 621, 789, 203, 483, 622, 945, 108, 1680, 671, 1620, 759, 1453, 293, 41, 269, 67, 840, 1019, 1376, 1247, 1552, 592, 890, 399, 1160, 1502, 911, 362, 1708, 1329, 1437, 737, 753, 38, 1408, 1468, 1741, 1056, 124, 1026, 263, 22, 1330, 1241, 312, 127, 945, 1534, 746, 1492, 176, 202, 1712, 1394, 127, 1492, 1349, 1052, 944, 1794, 1213, 1344, 363, 1281, 1221, 815, 1680, 644, 845, 1021, 1708, 1396, 1397, 1368, 1446, 1500, 1508, 1380, 1722, 891, 1210, 1097, 1372, 703, 759, 134, 1407, 1337, 1076, 1422, 1475, 1469, 183, 1533, 448, 202, 1730, 822, 1331, 1435, 847, 1610, 1455, 966, 1406, 1129, 944, 1323, 1272, 593, 676, 1438, 469, 1421, 1437, 1385, 1665, 58, 149, 890, 182, 912, 1516, 508, 982, 1494, 79, 900, 868, 1041, 644, 47, 182, 617, 1556, 1054, 1727, 1636, 738, 1230, 344, 1416, 92, 742, 1511, 1700, 1202, 202, 983, 835, 938, 1761, 1673, 1376, 368, 1387, 213, 1375, 507, 927, 1378, 364, 1149, 877, 286, 1366, 1109, 1353, 863, 1485, 709, 1350, 1217, 86, 757, 560, 1829, 1770, 1027, 1471, 1368, 848, 1502, 1407, 510, 1042, 944, 1498, 1089, 383, 1180, 1008, 892, 1409, 1415, 1660, 1499, 870, 1314, 1083, 1, 688, 1511, 863, 600, 1161, 395, 1589, 1238, 807, 1181, 1404, 752, 1589, 1823, 1705, 767, 1525, 1404, 1091, 1079, 1175, 1752, 1121, 1175, 891, 1205, 837, 732, 672, 1142, 681, 1145, 257, 1007, 325, 729, 1011, 1336, 1302, 175, 1726, 499, 388, 29, 1579, 615, 1724, 1061, 1820, 231, 1368, 1596, 46, 1516, 79, 455, 1234, 1082, 1235, 834, 1376, 759, 6, 100, 844, 543, 430, 495, 884, 1268, 726, 571, 557, 108, 1126, 461, 1002, 321, 230, 1058, 1589, 1647, 1581, 1349, 848, 1018, 725, 1347, 1797, 1502, 395, 917, 1775, 1766, 789, 98, 1476, 996, 1339, 938, 775, 815, 701, 1221, 1048, 1035, 1310, 1019, 784, 95, 1759, 372, 621, 1379, 1409, 1812, 1820, 1249, 1601, 1474, 1456, 1113, 309, 106, 858, 25, 1173, 393, 88, 825, 1300, 632, 1004, 1468, 1267, 1268, 1477, 1268, 1500, 1646, 1057, 129, 407, 202, 122, 18, 790, 955, 632, 254, 483, 907, 715, 1463, 1830, 1710, 1787, 400, 1018, 1171, 70, 1040, 1410, 827, 737, 1139, 92, 532, 1500, 1411, 1647, 1457, 503, 1380, 878, 1396, 1059, 683, 1167, 773, 1081, 1511, 882, 1520, 1360, 1720, 1780, 788, 1382, 1403, 253, 1278, 543, 24, 1298, 1160, 642, 789, 253, 1484, 375, 552, 773, 81, 1645, 901, 1400, 682, 1408, 944, 972, 1629, 1324, 1372, 1416, 1661, 134, 1658, 1776, 1406, 1033, 1799, 1716, 989, 1830, 1306, 1364, 1820, 1175, 719, 1746, 1082, 1495, 1306, 788, 1716, 1496, 1282, 1471, 1430, 1765, 1293, 1305, 1307, 1432, 1173, 723, 375, 408, 1088, 794, 1368, 1430, 775, 830, 454, 616, 1621, 656, 626, 865, 725, 917, 1327, 1588, 310, 1491, 930, 1661, 688, 1657, 911, 269, 1802, 554, 703, 1749, 1270, 629, 1824, 1160, 55, 1363, 790, 1518, 1, 1439, 231, 1403, 1150, 1489, 1742, 1497, 836, 615, 1431, 385, 901, 1719, 65, 935, 1700, 104, 1498, 1686, 1329, 228, 856, 1589, 794, 197, 1692, 687, 1769, 1691, 1217, 215, 828, 51, 128, 146, 871, 228, 977, 51, 370, 1055, 243, 1173, 626, 380, 708, 63, 577, 1484, 853, 843, 153, 1089, 828, 79, 903, 1661, 1241, 1068, 1323, 320, 1753, 907, 330, 996, 1097, 687, 909, 1528, 1796, 1351, 69, 46, 276, 198, 1439, 1129, 186, 1136, 13, 236, 252, 57, 368, 1804, 1314, 1494, 1792, 1671, 1798, 1565, 848, 1109, 1119, 1437, 1044, 1078, 1502, 871, 1366, 898, 1186, 1426, 1095, 1772, 1452, 109, 733, 1448, 1229, 688, 1812, 777, 893, 1197, 456, 1651, 790, 1083, 1647, 639, 1396, 1344, 1373, 363, 1331, 1464, 1833, 513, 165, 219, 244, 244, 167, 128011, 128001 ]
[ 128000, 128002, 54040, 374, 11, 358, 6051, 3940, 459, 60859, 11, 902, 358, 617, 9932, 1603, 11, 323, 433, 16280, 374, 1475, 1938, 11, 7159, 11, 7742, 11, 8079, 11, 7950, 11, 902, 358, 8101, 374, 539, 1475, 1938, 13, 128003, 128005, 704, 762, 1405, 231, 827, 1042, 2, 1670, 190, 1741, 104, 1471, 69, 836, 758, 587, 1553, 890, 519, 1384, 129, 1468, 1326, 276, 1780, 67, 1341, 1489, 407, 1240, 1365, 1509, 409, 129, 230, 190, 592, 599, 848, 1720, 719, 1626, 1820, 1256, 1462, 1423, 1053, 1326, 1345, 1247, 1083, 1178, 1261, 1229, 844, 637, 887, 860, 858, 549, 1462, 67, 870, 1392, 181, 1674, 1047, 202, 1715, 843, 1761, 1620, 1118, 1821, 1123, 1364, 1068, 987, 409, 18, 1323, 1296, 52, 362, 7, 384, 26, 202, 1005, 926, 1015, 848, 22, 1663, 1261, 1069, 1494, 1240, 949, 1470, 519, 1374, 122, 277, 166, 315, 767, 592, 1132, 1005, 1426, 600, 874, 848, 1392, 1110, 510, 1335, 890, 48, 1775, 1476, 1276, 631, 182, 1540, 938, 1221, 615, 1354, 1662, 1817, 333, 1089, 1532, 400, 806, 1600, 546, 184, 1811, 636, 1468, 742, 1480, 1238, 920, 198, 556, 1496, 178, 1378, 1204, 1345, 217, 41, 750, 1286, 738, 1639, 1320, 310, 1641, 454, 1350, 154, 1364, 1422, 70, 1314, 1324, 628, 1407, 308, 1156, 1141, 13, 1493, 1631, 1745, 1301, 1769, 1103, 1347, 1172, 1517, 205, 310, 980, 1272, 1518, 328, 1755, 1313, 1135, 626, 1633, 800, 961, 927, 524, 1436, 393, 825, 1382, 948, 271, 83, 1447, 1182, 474, 973, 719, 1520, 679, 1633, 1068, 1287, 973, 1089, 1041, 973, 794, 1494, 1057, 1022, 748, 1451, 1166, 319, 18, 1375, 1438, 1160, 1272, 143, 1445, 1257, 1050, 1756, 1540, 1494, 798, 1814, 1411, 949, 1591, 767, 1374, 719, 1139, 1393, 767, 1349, 1119, 1779, 1156, 617, 1585, 225, 572, 825, 729, 1633, 904, 1667, 112, 1063, 1286, 617, 1075, 1596, 1541, 711, 716, 1462, 1734, 1630, 715, 1297, 1254, 1087, 796, 1192, 1436, 609, 1499, 512, 961, 1238, 1008, 1021, 1445, 1048, 1024, 9, 1312, 990, 1077, 191, 1500, 1104, 1221, 98, 1375, 1692, 1825, 1678, 1246, 1683, 928, 1144, 1499, 1176, 1537, 1520, 1516, 909, 949, 1344, 1629, 844, 1534, 1314, 1221, 1060, 471, 1473, 1115, 1340, 595, 1384, 909, 983, 1336, 1636, 1700, 1275, 687, 1797, 1297, 230, 1787, 1345, 132, 48, 774, 532, 1215, 493, 1596, 1441, 124, 1791, 1476, 1183, 1045, 599, 1477, 1117, 271, 1232, 656, 359, 1720, 1160, 536, 1478, 1457, 160, 495, 361, 771, 1211, 0, 503, 1071, 745, 1470, 688, 1430, 347, 317, 1302, 1488, 301, 430, 291, 1546, 791, 1534, 218, 825, 719, 347, 1042, 320, 1478, 886, 411, 1146, 1524, 742, 1716, 1752, 1670, 623, 1792, 1325, 203, 1498, 892, 1490, 1278, 803, 1422, 909, 1024, 644, 899, 1473, 240, 1542, 121, 239, 839, 796, 806, 1809, 604, 813, 1364, 1429, 1477, 774, 154, 580, 1061, 855, 736, 1345, 1526, 714, 1150, 1082, 1509, 1078, 1751, 1152, 1089, 1362, 1032, 1479, 971, 548, 1360, 978, 387, 862, 891, 1696, 1319, 899, 325, 899, 957, 704, 939, 1585, 585, 939, 694, 387, 957, 1570, 799, 1474, 686, 939, 1536, 712, 1114, 1536, 274, 1233, 1570, 1142, 1244, 1151, 751, 1536, 692, 933, 1362, 1007, 1628, 1151, 981, 1536, 712, 1293, 325, 1142, 862, 686, 1142, 1536, 585, 957, 928, 1003, 274, 686, 799, 1536, 585, 710, 325, 1092, 710, 620, 651, 1151, 1242, 795, 1283, 1617, 202, 10, 1292, 849, 1471, 1484, 454, 143, 1048, 1009, 1452, 1723, 18, 1544, 1527, 1539, 1552, 1042, 1448, 882, 326, 884, 787, 1525, 864, 923, 1004, 1109, 1500, 252, 1779, 983, 1667, 973, 22, 134, 1700, 1558, 1542, 1641, 1358, 1519, 926, 454, 1409, 790, 1695, 679, 1737, 1514, 1770, 634, 1391, 610, 1342, 1019, 1423, 182, 307, 1089, 1300, 567, 809, 1681, 1341, 1546, 348, 1660, 415, 1552, 1741, 1205, 841, 994, 230, 359, 788, 587, 1801, 637, 1707, 887, 878, 721, 933, 1814, 807, 672, 1421, 1095, 866, 1112, 516, 1284, 967, 1704, 704, 967, 1474, 1080, 1346, 766, 967, 1721, 712, 513, 1614, 986, 1233, 1244, 727, 1338, 1244, 627, 325, 567, 939, 1474, 751, 1293, 585, 651, 1362, 584, 939, 325, 981, 1007, 704, 651, 1362, 387, 1142, 1284, 762, 751, 1570, 751, 1338, 766, 513, 1538, 630, 1142, 686, 513, 1338, 785, 387, 554, 1233, 1176, 1568, 1142, 1037, 692, 845, 676, 1648, 988, 1185, 1795, 503, 1725, 1344, 835, 1665, 1771, 1824, 911, 1583, 230, 767, 1517, 1235, 1651, 1727, 1404, 1456, 723, 1220, 829, 1429, 1320, 1149, 769, 617, 1290, 1365, 1796, 886, 1102, 833, 699, 637, 779, 1439, 1261, 1374, 1376, 52, 1342, 409, 493, 368, 1344, 1583, 203, 1600, 1452, 1510, 1409, 1535, 134, 1426, 1285, 1180, 874, 1237, 1389, 665, 1487, 364, 1331, 1015, 1331, 1764, 1456, 1195, 693, 918, 1809, 1455, 1088, 1686, 1126, 349, 1186, 1174, 1029, 370, 252, 1370, 816, 1274, 1212, 1610, 519, 319, 1743, 883, 1404, 480, 938, 1068, 701, 877, 858, 744, 1742, 1665, 1534, 1672, 1700, 1736, 678, 1738, 978, 65, 1164, 1402, 157, 1711, 816, 178, 1437, 1221, 1400, 1304, 596, 1444, 1231, 929, 709, 1707, 869, 598, 1589, 250, 171, 1121, 40, 799, 918, 563, 1362, 1273, 1725, 1474, 567, 1704, 460, 717, 724, 981, 1004, 1122, 657, 1492, 147, 553, 1217, 147, 1069, 157, 1435, 1410, 1186, 1315, 1314, 1131, 1079, 1197, 1227, 1282, 612, 165, 219, 244, 128011, 128001 ]
[ 128000, 128002, 3112, 358, 1101, 1524, 990, 520, 279, 3224, 6469, 83785, 14097, 439, 1664, 7170, 13, 2100, 358, 3152, 11, 433, 596, 264, 8941, 315, 990, 13, 9086, 358, 2846, 3318, 264, 2763, 315, 4207, 264, 1938, 13, 9086, 358, 2846, 16280, 3318, 2212, 1093, 13, 128003, 128005, 686, 1076, 1600, 1435, 639, 782, 961, 989, 1005, 1427, 609, 1828, 1280, 901, 1330, 364, 1477, 382, 73, 1410, 400, 1389, 129, 29, 1620, 999, 1596, 1540, 1649, 1784, 1311, 1145, 149, 676, 1668, 229, 1681, 1448, 1448, 1250, 1003, 1359, 717, 693, 1245, 82, 1014, 1110, 210, 856, 1173, 82, 125, 1229, 1484, 847, 411, 1503, 1217, 577, 124, 295, 749, 1018, 628, 1077, 1436, 362, 125, 1740, 350, 269, 1805, 549, 593, 1146, 127, 1799, 814, 999, 798, 1266, 1113, 1049, 1485, 994, 1700, 607, 1223, 966, 814, 996, 564, 1746, 1545, 1684, 1342, 1743, 827, 705, 782, 1492, 1081, 1752, 1406, 1305, 1287, 1361, 1174, 1031, 742, 758, 1287, 1782, 1329, 1739, 1172, 524, 926, 979, 203, 847, 1631, 576, 1677, 363, 1811, 1436, 1468, 599, 10, 1720, 870, 1304, 782, 742, 1583, 1650, 1163, 1410, 1741, 1292, 1089, 1222, 1015, 1276, 545, 1712, 164, 1198, 1453, 903, 481, 1705, 1397, 1453, 1774, 1719, 1305, 1027, 1524, 855, 1701, 105, 1375, 395, 1475, 648, 564, 1094, 629, 1009, 1281, 1748, 687, 1558, 202, 183, 344, 1376, 1483, 1403, 657, 1349, 787, 1146, 876, 1422, 1491, 1426, 906, 286, 1363, 399, 1324, 1724, 1280, 1340, 1756, 1441, 230, 1485, 1035, 989, 1432, 1524, 1437, 1824, 876, 1696, 621, 1792, 492, 1494, 1086, 1389, 664, 1324, 757, 1147, 1192, 1335, 1297, 1369, 1821, 1429, 1661, 1287, 183, 1238, 749, 1718, 1462, 1258, 1426, 1591, 1755, 1730, 1497, 1800, 1659, 1706, 1797, 1189, 1227, 1264, 466, 1303, 1330, 271, 1611, 1357, 847, 1426, 136, 1326, 1492, 1163, 1663, 1638, 1532, 231, 1376, 640, 1283, 1439, 1438, 874, 425, 1250, 173, 1158, 113, 1477, 721, 153, 1258, 1417, 1186, 959, 1753, 1347, 1257, 1466, 1373, 1251, 1739, 627, 1611, 0, 891, 1034, 1824, 1279, 927, 1142, 1355, 1412, 1010, 1034, 1623, 1556, 1036, 1598, 1730, 1033, 336, 284, 1038, 982, 1665, 1004, 621, 1527, 1342, 123, 1633, 943, 1136, 864, 1476, 901, 688, 1354, 1712, 1518, 409, 863, 1256, 13, 520, 1826, 1027, 1591, 1685, 428, 1470, 1241, 1226, 1303, 1171, 1382, 1337, 1677, 1347, 1107, 997, 158, 1755, 1511, 1341, 191, 1048, 1012, 1171, 575, 1674, 1212, 302, 1798, 1452, 1625, 1700, 1734, 1234, 1805, 354, 627, 576, 1000, 1426, 803, 1174, 1468, 1167, 1075, 815, 1802, 1382, 1769, 1391, 642, 1124, 1400, 569, 1459, 1086, 65, 1646, 474, 902, 474, 1059, 142, 1656, 958, 1683, 514, 1479, 1056, 850, 1088, 688, 1284, 700, 843, 1067, 326, 693, 1253, 653, 1005, 539, 1268, 1732, 1467, 1646, 1447, 1305, 321, 1572, 822, 1218, 399, 1272, 1408, 901, 1655, 587, 1699, 1537, 1690, 1732, 761, 1399, 1328, 1328, 1252, 95, 1189, 1473, 1381, 683, 343, 1368, 17, 705, 1315, 764, 492, 1776, 53, 1276, 424, 711, 660, 794, 871, 1351, 1169, 628, 1526, 1503, 719, 893, 1209, 723, 589, 1391, 88, 931, 978, 474, 1208, 813, 521, 86, 9, 1447, 616, 655, 679, 1263, 1470, 810, 53, 1805, 1141, 1518, 1521, 1580, 1296, 1660, 1237, 1824, 1497, 529, 1262, 1590, 1798, 1643, 1763, 1457, 405, 806, 10, 777, 1351, 1308, 687, 1342, 871, 407, 1403, 1107, 1195, 386, 65, 1067, 610, 1089, 1132, 179, 1434, 697, 1364, 809, 767, 319, 1124, 999, 474, 1799, 370, 792, 997, 976, 55, 261, 1403, 703, 1595, 22, 856, 1472, 1770, 1517, 775, 682, 539, 1171, 1306, 1275, 157, 397, 268, 949, 1303, 1095, 870, 700, 618, 1773, 745, 102, 1388, 10, 389, 820, 757, 227, 1229, 322, 1718, 698, 1393, 429, 460, 303, 992, 282, 268, 1393, 1409, 761, 1511, 1794, 1458, 1720, 715, 557, 1522, 1056, 1802, 1166, 1384, 1088, 877, 1429, 1426, 1014, 1226, 1013, 1277, 412, 1409, 1435, 711, 825, 549, 1229, 1743, 565, 1490, 931, 1745, 787, 1211, 1401, 1331, 1605, 775, 1181, 1141, 1774, 173, 900, 123, 985, 1317, 113, 858, 1414, 282, 951, 1491, 1342, 1236, 1325, 1410, 1475, 1310, 1496, 513, 165, 156, 244, 244, 128011, 128001 ]
[ 128000, 128002, 28070, 15247, 4207, 264, 1938, 7170, 323, 433, 596, 3169, 315, 27873, 13, 358, 2846, 3169, 315, 927, 21837, 7182, 11, 719, 128003, 128005, 990, 865, 1532, 1439, 359, 1554, 1817, 1194, 500, 127, 983, 920, 1776, 916, 1328, 1733, 716, 1796, 1444, 229, 1003, 1792, 1384, 805, 1765, 1011, 654, 749, 1018, 315, 1212, 308, 782, 679, 1439, 55, 348, 872, 1333, 858, 47, 397, 1655, 726, 1078, 268, 1825, 948, 841, 903, 1002, 961, 800, 614, 1002, 614, 1393, 210, 1704, 221, 1648, 73, 624, 550, 1749, 588, 1214, 789, 1699, 876, 687, 530, 1040, 1762, 57, 824, 1350, 1646, 319, 652, 714, 1726, 1631, 321, 1724, 297, 930, 361, 1613, 1830, 1152, 1688, 863, 1397, 474, 1801, 775, 340, 991, 1661, 43, 1541, 889, 1086, 1366, 1601, 422, 1573, 521, 1699, 483, 1624, 213, 882, 213, 409, 493, 493, 1135, 951, 1261, 200, 1498, 1772, 1708, 940, 1542, 1231, 1015, 1818, 1650, 1641, 315, 1329, 1447, 1197, 203, 1404, 797, 1417, 565, 1177, 1149, 236, 1611, 1417, 324, 1738, 1280, 346, 1429, 1534, 57, 1621, 1093, 1511, 729, 348, 0, 546, 233, 428, 1028, 497, 1313, 798, 1410, 430, 828, 117, 1156, 1457, 882, 1449, 1278, 1753, 1629, 1027, 1674, 1397, 1476, 1307, 1146, 628, 1807, 870, 877, 1535, 1587, 1660, 129, 183, 927, 1376, 1815, 1153, 1036, 1196, 1329, 1691, 1230, 1143, 1066, 105, 1331, 1282, 1008, 182, 909, 1230, 1126, 798, 184, 1411, 715, 557, 1528, 269, 763, 1220, 121, 225, 1623, 395, 681, 665, 1352, 860, 1514, 1339, 1687, 1702, 1149, 1146, 569, 399, 1427, 725, 548, 110, 930, 363, 1820, 1380, 1428, 335, 1128, 1823, 19, 252, 896, 828, 1145, 730, 1645, 1137, 520, 1229, 832, 836, 1426, 1483, 1642, 631, 870, 230, 1166, 878, 1241, 495, 1565, 1688, 1037, 1379, 1777, 1705, 947, 1428, 1104, 1436, 1033, 1034, 1701, 1668, 1082, 1806, 1230, 1175, 1705, 1088, 1701, 1279, 943, 1822, 1393, 1104, 1504, 1104, 1432, 1793, 1098, 891, 1428, 1305, 301, 1483, 1129, 1487, 907, 1143, 113, 1300, 835, 1146, 657, 1467, 1447, 1530, 1313, 927, 1391, 827, 53, 234, 208, 575, 1698, 570, 1127, 637, 374, 1492, 498, 9, 834, 1313, 312, 1284, 860, 941, 1752, 303, 429, 1672, 1078, 222, 1025, 719, 491, 1469, 1588, 264, 1818, 770, 1043, 1004, 283, 1405, 326, 355, 639, 389, 1719, 506, 1064, 252, 792, 892, 988, 579, 688, 1638, 1081, 5, 1160, 1790, 1637, 1212, 1113, 917, 842, 297, 1386, 1005, 893, 1351, 868, 1823, 179, 1795, 806, 1034, 1389, 753, 333, 931, 335, 46, 858, 409, 230, 117, 860, 1258, 560, 907, 1310, 115, 1647, 321, 768, 708, 1415, 1206, 783, 1758, 1477, 1081, 1067, 1427, 1649, 1647, 1545, 1481, 893, 875, 1254, 307, 591, 42, 776, 964, 918, 762, 1769, 816, 321, 477, 83, 2, 208, 82, 36, 170, 841, 13, 162, 741, 1502, 1344, 1304, 1404, 1470, 1018, 137, 320, 1160, 1241, 1434, 1002, 1287, 1777, 1403, 640, 1278, 1623, 165, 165, 244, 244, 128011, 128001 ]
[ 128000, 128002, 24581, 430, 8515, 11, 1205, 430, 30864, 30958, 492, 13, 2100, 63445, 7752, 11, 358, 690, 539, 387, 17843, 5115, 439, 1690, 6946, 11, 719, 499, 1440, 11, 358, 3940, 856, 60859, 3432, 11, 3782, 2162, 11, 8430, 1695, 11, 6773, 311, 1304, 264, 2835, 13, 2100, 279, 3245, 374, 358, 690, 2103, 1304, 5115, 264, 2478, 6946, 11, 719, 358, 2846, 539, 2133, 311, 5379, 7182, 311, 904, 37869, 11, 1093, 904, 7452, 37869, 430, 690, 2231, 7410, 389, 7182, 13, 128003, 128005, 501, 436, 1311, 1681, 184, 1719, 1376, 738, 1573, 1450, 945, 126, 1503, 154, 1264, 1278, 315, 48, 1514, 1781, 815, 1627, 1310, 1046, 715, 53, 234, 1423, 463, 210, 1777, 186, 1196, 358, 474, 637, 1339, 1813, 1316, 1453, 570, 782, 1428, 882, 1397, 1245, 1314, 958, 252, 808, 309, 1297, 140, 1770, 115, 1134, 173, 19, 53, 656, 1192, 1261, 1235, 1281, 1034, 1554, 1516, 656, 1687, 882, 1403, 1694, 1649, 1417, 1667, 679, 109, 533, 1415, 1581, 154, 688, 1747, 1584, 78, 1755, 1360, 1173, 798, 315, 965, 1314, 393, 1414, 123, 1722, 160, 1260, 1418, 732, 1496, 1600, 1141, 1469, 654, 803, 731, 787, 1807, 1166, 987, 1261, 954, 787, 763, 1729, 850, 454, 552, 1553, 768, 904, 1327, 963, 1478, 1106, 1354, 389, 654, 703, 1448, 269, 751, 105, 1301, 1110, 600, 790, 915, 697, 1212, 973, 782, 1100, 1422, 346, 1385, 864, 46, 1417, 510, 1620, 1470, 1783, 1526, 1660, 1233, 1301, 1565, 1277, 1057, 117, 1806, 1139, 1741, 1556, 943, 1821, 1104, 1496, 971, 837, 1079, 724, 1644, 899, 867, 863, 1513, 7, 493, 884, 239, 1399, 39, 98, 1034, 1245, 341, 917, 1509, 948, 269, 1457, 362, 1358, 715, 741, 1226, 375, 1045, 153, 782, 983, 69, 1008, 69, 1008, 276, 831, 157, 921, 234, 1499, 133, 104, 1505, 225, 104, 213, 994, 768, 10, 1497, 1081, 129, 132, 1364, 1376, 1732, 1818, 1094, 1102, 65, 116, 236, 375, 880, 370, 956, 565, 330, 956, 520, 346, 614, 756, 63, 798, 543, 1226, 1298, 428, 508, 519, 320, 1300, 714, 519, 1556, 0, 1728, 1404, 231, 1806, 1355, 1711, 1458, 1519, 1634, 957, 820, 1419, 1293, 704, 1262, 1536, 1244, 1114, 1628, 710, 673, 247, 391, 1037, 1170, 209, 676, 1007, 1395, 1258, 1132, 874, 892, 158, 863, 1210, 1186, 1739, 1179, 890, 1540, 1371, 1739, 611, 1715, 1325, 629, 1374, 742, 1795, 1238, 898, 1638, 1520, 1015, 157, 1341, 412, 179, 158, 402, 39, 467, 412, 55, 1790, 1511, 1705, 1012, 1089, 814, 1296, 262, 1109, 109, 1744, 729, 284, 1234, 1824, 581, 1719, 1314, 1731, 1437, 1485, 114, 986, 857, 1773, 395, 1590, 808, 1819, 63, 1574, 317, 1139, 1332, 1718, 189, 725, 507, 67, 1375, 858, 1320, 1280, 648, 92, 184, 1755, 1059, 1059, 502, 515, 1747, 1718, 385, 1782, 1746, 981, 1320, 1806, 712, 1458, 982, 1004, 977, 590, 756, 357, 1399, 1030, 759, 126, 1078, 848, 1356, 927, 1204, 183, 195, 920, 1660, 1466, 1347, 756, 1650, 787, 400, 1426, 1078, 132, 341, 29, 1091, 1328, 822, 1366, 688, 1565, 1759, 1507, 333, 1628, 1160, 105, 1214, 906, 1249, 895, 1441, 856, 1772, 849, 848, 74, 972, 1082, 1565, 234, 214, 1099, 640, 158, 429, 1573, 1342, 1069, 1552, 592, 1558, 749, 1468, 1796, 333, 1795, 1228, 1546, 1011, 1665, 1172, 518, 1668, 697, 757, 631, 497, 1766, 1005, 1149, 1241, 1253, 1392, 719, 1219, 1648, 1314, 1071, 1720, 1832, 1079, 1342, 1705, 1797, 1364, 1408, 1175, 1752, 1321, 1329, 891, 1833, 669, 1092, 785, 465, 1373, 423, 513, 274, 1648, 1213, 1078, 957, 775, 975, 1081, 1432, 1156, 639, 665, 900, 664, 1178, 1435, 1056, 1477, 576, 1201, 959, 1755, 1656, 1301, 1276, 1107, 1259, 306, 1275, 637, 1040, 907, 962, 664, 1662, 714, 890, 320, 67, 858, 18, 399, 1313, 944, 626, 1127, 510, 1295, 1101, 123, 737, 759, 856, 1494, 348, 1388, 1313, 1369, 1136, 364, 443, 1497, 858, 1127, 1382, 822, 903, 1004, 1437, 833, 1342, 395, 1674, 495, 1826, 920, 1566, 746, 1492, 1317, 993, 775, 576, 1808, 833, 269, 702, 1476, 1591, 183, 178, 1588, 6, 685, 1686, 1192, 833, 374, 1508, 1451, 1590, 1495, 1795, 1705, 546, 736, 1061, 202, 1642, 1325, 1002, 536, 895, 1340, 1480, 1726, 384, 974, 1400, 791, 127, 1370, 1133, 1126, 1125, 142, 4, 1237, 1088, 1139, 835, 1168, 1179, 735, 707, 1131, 976, 1648, 655, 837, 1623, 1705, 888, 651, 995, 1390, 1815, 1, 1735, 1688, 865, 1279, 1468, 658, 1030, 132, 1215, 1229, 320, 1800, 1308, 230, 98, 1437, 1797, 1076, 886, 629, 332, 1116, 952, 1751, 1141, 1686, 1113, 789, 1426, 913, 1637, 374, 1396, 996, 629, 1796, 628, 748, 1459, 310, 1818, 662, 1233, 1814, 1339, 1714, 1611, 42, 1355, 1541, 1632, 1370, 1373, 1379, 1754, 1456, 669, 735, 1144, 620, 624, 1120, 1600, 976, 1082, 1724, 1621, 911, 1667, 919, 640, 1420, 1636, 909, 190, 1542, 1353, 104, 1013, 1473, 725, 1372, 583, 695, 890, 1813, 1005, 1412, 1013, 1337, 1706, 1240, 348, 444, 837, 1581, 1564, 767, 26, 829, 1738, 510, 341, 1786, 637, 225, 1146, 83, 1762, 599, 688, 750, 123, 861, 858, 935, 1621, 1630, 174, 1064, 437, 1148, 1751, 1092, 950, 1613, 923, 1359, 1751, 1033, 1808, 361, 1685, 409, 348, 1283, 1376, 1532, 10, 26, 1411, 874, 1086, 595, 660, 29, 309, 657, 940, 521, 1263, 769, 1265, 1088, 945, 703, 1488, 239, 1195, 1139, 1335, 836, 1403, 1502, 372, 520, 1818, 605, 374, 1676, 767, 264, 1379, 1421, 1164, 113, 662, 605, 480, 1322, 1486, 1049, 938, 1702, 1186, 1738, 371, 481, 502, 1569, 1697, 533, 1069, 1527, 616, 968, 73, 1375, 864, 1438, 277, 1711, 770, 1036, 617, 1532, 1291, 1590, 1053, 1700, 1363, 631, 1535, 129, 863, 636, 1332, 1297, 687, 55, 117, 83, 1758, 755, 941, 1240, 1097, 1472, 1438, 1723, 1456, 1671, 971, 1475, 1795, 1305, 886, 1798, 1458, 1342, 1465, 1412, 1600, 1648, 927, 1722, 1809, 1375, 1233, 1121, 465, 1080, 1623, 1510, 1092, 606, 504, 681, 1393, 1823, 1716, 755, 1674, 1139, 1584, 1734, 1691, 1695, 117, 1354, 1108, 1349, 1198, 521, 348, 1686, 108, 1393, 1318, 1287, 1486, 1493, 1091, 789, 1460, 1441, 876, 1217, 1350, 1431, 502, 1068, 996, 18, 1829, 1501, 1296, 124, 863, 122, 175, 1426, 1790, 1307, 1220, 874, 359, 979, 755, 1462, 587, 1019, 1370, 1243, 1713, 1620, 86, 1511, 411, 1659, 1300, 1533, 409, 315, 1088, 6, 1217, 1450, 4, 1354, 750, 1298, 998, 757, 502, 1241, 1347, 1008, 1221, 738, 1733, 1240, 1336, 1542, 1081, 901, 10, 806, 483, 979, 1314, 399, 1243, 1613, 1306, 1486, 1097, 1726, 1822, 736, 1628, 1045, 1100, 813, 502, 1001, 1237, 407, 1326, 1344, 687, 789, 1651, 454, 1326, 1795, 1588, 1764, 719, 788, 1752, 980, 1234, 1120, 1035, 952, 716, 495, 533, 98, 1833, 416, 1619, 344, 333, 1047, 1224, 1139, 1420, 129, 1341, 1538, 1600, 1801, 1583, 1283, 1453, 969, 195, 1554, 282, 1400, 839, 205, 1161, 1526, 1005, 828, 1542, 556, 1356, 1811, 510, 320, 399, 714, 1607, 1685, 22, 1614, 938, 1202, 1155, 1040, 173, 36, 1358, 474, 948, 88, 1814, 461, 1714, 695, 1025, 947, 1350, 742, 1830, 1351, 1237, 609, 65, 112, 1423, 1182, 1186, 402, 197, 1554, 1823, 1406, 1116, 1666, 1232, 937, 1155, 1034, 1700, 395, 1635, 1146, 945, 1444, 833, 191, 1802, 1691, 1339, 1668, 957, 1489, 357, 1036, 1808, 231, 1704, 1225, 1556, 926, 1091, 775, 317, 793, 1374, 317, 495, 1412, 864, 47, 688, 1628, 726, 644, 804, 938, 1004, 1249, 1466, 955, 1147, 587, 1326, 979, 1001, 1436, 1078, 1516, 399, 648, 631, 129, 18, 713, 1426, 1200, 1492, 864, 297, 1468, 764, 806, 1468, 775, 1612, 1511, 1605, 1421, 1786, 1565, 1351, 1077, 231, 705, 1636, 400, 1330, 1088, 495, 1449, 1217, 1305, 1344, 495, 1253, 1493, 906, 1709, 714, 189, 658, 802, 315, 1160, 166, 592, 1082, 50, 416, 989, 640, 1148, 1031, 922, 277, 65, 95, 270, 303, 15, 1286, 1449, 1588, 1368, 1600, 556, 1468, 1083, 577, 770, 1582, 158, 681, 249, 123, 894, 1540, 1272, 41, 1544, 1651, 198, 430, 22, 129, 1310, 1637, 117, 1114, 1412, 719, 1185, 1074, 1770, 1292, 1139, 1385, 1034, 719, 1305, 947, 1821, 1099, 1139, 933, 1170, 1777, 957, 1496, 735, 676, 838, 939, 866, 1106, 1202, 1423, 537, 1047, 577, 1528, 277, 1249, 400, 1411, 829, 383, 1325, 1161, 876, 1528, 1485, 395, 1769, 962, 55, 34, 700, 1594, 10, 473, 749, 276, 1638, 409, 1342, 736, 213, 1375, 510, 62, 1830, 769, 911, 1677, 1055, 1247, 1629, 1113, 52, 616, 1511, 1366, 776, 1412, 1345, 1422, 122, 844, 1091, 129, 1436, 308, 4, 950, 1012, 1043, 813, 388, 326, 1670, 570, 1206, 400, 73, 1452, 1342, 1093, 1699, 639, 1552, 1002, 1149, 1822, 1468, 341, 1093, 1694, 1494, 211, 1572, 1439, 269, 1626, 286, 1615, 176, 1441, 1691, 519, 1486, 874, 635, 333, 147, 1260, 678, 208, 1106, 13, 1332, 1598, 1395, 1686, 905, 1351, 984, 1033, 1391, 229, 891, 1289, 624, 1770, 31, 712, 1268, 839, 1717, 492, 1613, 626, 91, 1779, 709, 1288, 1112, 729, 805, 1096, 651, 1763, 1076, 1246, 567, 936, 1262, 551, 406, 795, 566, 939, 1125, 1799, 1385, 1795, 1144, 1505, 741, 429, 1595, 948, 225, 519, 790, 946, 1214, 973, 406, 1632, 883, 918, 42, 470, 1418, 1294, 513, 950, 670, 1321, 800, 1801, 1671, 1314, 591, 1481, 1095, 1172, 115, 1629, 299, 977, 299, 477, 711, 1303, 1069, 1620, 581, 1712, 844, 1247, 1738, 943, 1282, 1205, 715, 600, 1210, 92, 917, 1180, 1477, 1276, 860, 341, 1265, 1410, 783, 1358, 1532, 126, 662, 1309, 1565, 126, 1081, 996, 326, 1259, 1436, 813, 1247, 1139, 834, 1753, 882, 1563, 687, 546, 1337, 298, 640, 1091, 404, 1245, 1235, 972, 1258, 1212, 441, 475, 1746, 741, 359, 1833, 1136, 326, 1774, 961, 1708, 1256, 1515, 1468, 1447, 1756, 1286, 1718, 1646, 1403, 676, 165, 156, 244, 244, 167, 128011, 128001 ]
[ 128000, 128002, 3112, 1120, 3041, 757, 26225, 8631, 13, 45446, 1093, 422, 358, 9899, 1093, 11, 17339, 11, 358, 2846, 16926, 656, 3116, 6946, 264, 2046, 1093, 358, 1511, 311, 13, 128003, 128005, 620, 449, 19, 1611, 997, 1451, 1761, 1047, 1510, 716, 1788, 1613, 1676, 399, 41, 1631, 1341, 1166, 1800, 183, 556, 1756, 4, 333, 1583, 6, 1701, 1354, 1664, 1703, 1627, 1669, 928, 178, 1175, 1803, 26, 491, 1805, 556, 503, 911, 1463, 1802, 1532, 1274, 1430, 1224, 668, 657, 1523, 755, 1231, 780, 1156, 175, 1717, 1384, 1519, 1771, 1719, 1814, 1743, 874, 1358, 628, 1447, 860, 662, 1230, 1739, 1607, 108, 515, 1463, 1073, 955, 872, 370, 1069, 1027, 983, 1679, 592, 320, 1018, 320, 1278, 328, 1422, 1766, 328, 940, 507, 202, 1238, 10, 713, 1450, 864, 1087, 1057, 286, 657, 1351, 848, 1109, 178, 834, 1621, 768, 1530, 308, 1494, 1552, 549, 1422, 202, 943, 1682, 26, 1730, 1057, 1459, 1202, 656, 252, 1750, 164, 1107, 1494, 270, 86, 1686, 1332, 1596, 1027, 52, 1175, 592, 519, 1495, 368, 1667, 1009, 1651, 1042, 1646, 753, 1587, 298, 1521, 1817, 664, 1301, 1041, 518, 848, 1487, 400, 1032, 50, 803, 1751, 1247, 1598, 864, 1214, 1700, 1545, 230, 1749, 1162, 441, 210, 1409, 1101, 147, 234, 128, 813, 581, 1127, 1331, 276, 321, 197, 749, 577, 656, 137, 901, 18, 320, 1412, 962, 1752, 1130, 1424, 632, 276, 966, 521, 303, 178, 446, 1517, 512, 557, 1702, 719, 1452, 231, 911, 1399, 1526, 1450, 326, 1702, 996, 662, 1718, 583, 505, 777, 830, 1661, 647, 1783, 777, 1584, 370, 730, 407, 829, 320, 1264, 1252, 769, 73, 1419, 1040, 932, 1795, 1792, 735, 886, 1181, 1434, 1410, 1114, 1160, 1817, 1707, 715, 1348, 1395, 1393, 712, 1355, 1233, 1144, 1205, 899, 1360, 1145, 971, 1333, 632, 1742, 1221, 326, 1833, 1022, 742, 1741, 1650, 1704, 1175, 1827, 660, 802, 628, 1831, 1241, 269, 1682, 1671, 1115, 1040, 1015, 442, 783, 1621, 834, 1386, 874, 120, 1738, 887, 926, 1073, 825, 1351, 1526, 678, 1092, 91, 1646, 1729, 416, 1088, 828, 344, 804, 790, 1802, 1581, 715, 473, 1411, 782, 1743, 1160, 1337, 1500, 382, 231, 788, 1221, 1210, 803, 348, 1070, 500, 684, 157, 635, 1651, 657, 687, 133, 346, 1800, 663, 1443, 1350, 1472, 560, 218, 1068, 1374, 1678, 1813, 1485, 98, 1473, 198, 1828, 985, 556, 1267, 1073, 269, 184, 92, 1401, 554, 50, 428, 1366, 1462, 1232, 1366, 753, 688, 1413, 1588, 302, 5, 1786, 214, 946, 980, 1563, 326, 640, 746, 688, 1817, 1626, 1605, 1432, 1691, 1111, 1484, 1216, 514, 917, 1024, 1136, 1347, 822, 48, 1170, 1552, 354, 1309, 382, 545, 1313, 1758, 755, 1490, 1376, 1336, 640, 1365, 344, 1488, 1061, 1048, 485, 831, 328, 935, 1403, 1825, 1678, 50, 1646, 1387, 409, 1701, 415, 1524, 1302, 308, 1448, 1393, 1227, 335, 439, 619, 107, 1684, 384, 805, 467, 1433, 1286, 807, 1754, 1537, 1453, 1823, 1822, 1331, 1360, 165, 219, 244, 244, 128011, 128001 ]
[ 128000, 128002, 13246, 430, 596, 1120, 2288, 1790, 369, 757, 323, 358, 1253, 387, 3025, 311, 656, 1884, 6946, 11, 719, 1093, 433, 1120, 9711, 779, 1790, 7410, 389, 757, 13, 358, 1541, 956, 1390, 499, 7752, 311, 3412, 757, 311, 1884, 17078, 430, 358, 4461, 690, 539, 387, 3025, 311, 3449, 13, 2100, 4619, 682, 279, 6946, 690, 1120, 387, 1093, 6380, 733, 18069, 46540, 1093, 420, 832, 11, 902, 433, 574, 13847, 369, 3432, 13, 2030, 499, 1440, 13, 128003, 128005, 1016, 534, 523, 1208, 492, 1812, 800, 1030, 399, 983, 1815, 308, 520, 1689, 1513, 264, 1818, 1200, 816, 320, 880, 874, 461, 664, 295, 158, 1804, 1139, 1147, 1615, 790, 175, 230, 940, 1141, 1088, 1002, 92, 510, 714, 1616, 230, 1788, 1688, 1600, 1667, 50, 231, 1436, 596, 1817, 989, 1476, 787, 536, 1447, 1024, 1596, 623, 1635, 1370, 126, 1490, 721, 1303, 642, 1368, 609, 1645, 349, 503, 1741, 1731, 1740, 656, 0, 1261, 822, 1705, 1029, 0, 1642, 927, 1063, 1200, 787, 738, 1074, 877, 995, 57, 177, 750, 616, 1760, 822, 877, 817, 1263, 1782, 154, 616, 1290, 1470, 1068, 990, 787, 1789, 454, 134, 1679, 1614, 1084, 1724, 247, 42, 884, 1185, 1638, 1681, 971, 1631, 666, 1311, 852, 1285, 1704, 281, 727, 976, 149, 1820, 1306, 1307, 1345, 1002, 1252, 822, 1077, 1018, 1156, 452, 1803, 664, 493, 9, 581, 1253, 1156, 844, 1344, 700, 1832, 876, 1430, 269, 325, 836, 496, 876, 636, 481, 1832, 1689, 729, 1037, 832, 805, 1657, 1076, 625, 641, 1152, 496, 641, 744, 465, 1419, 1033, 933, 1157, 1211, 1763, 1421, 1204, 1173, 1087, 1370, 628, 1776, 822, 55, 1719, 473, 742, 1802, 416, 756, 508, 753, 679, 253, 1368, 1221, 50, 1382, 1651, 611, 33, 1250, 776, 1379, 1351, 1038, 502, 230, 946, 198, 1563, 959, 577, 14, 1804, 757, 46, 634, 1186, 892, 183, 1564, 495, 1311, 1794, 1253, 489, 197, 592, 946, 148, 57, 1450, 1103, 1185, 1189, 1152, 990, 1240, 0, 1758, 780, 1520, 770, 132, 863, 1433, 1353, 711, 1281, 1473, 858, 1484, 877, 678, 949, 1678, 714, 1457, 1376, 1332, 1787, 1370, 1697, 1814, 1241, 1083, 1450, 1829, 1285, 750, 1494, 1497, 483, 1591, 556, 1698, 1389, 430, 1675, 1399, 1078, 310, 844, 1780, 1487, 1221, 1498, 1441, 132, 1624, 4, 1492, 1826, 1710, 1614, 669, 715, 1318, 721, 1320, 1328, 1221, 688, 450, 1420, 904, 1404, 880, 1416, 384, 961, 1403, 901, 1680, 658, 1347, 782, 831, 1688, 1786, 1092, 388, 1683, 796, 621, 1737, 1476, 177, 1451, 1655, 1828, 18, 938, 328, 117, 95, 1506, 454, 1240, 348, 69, 22, 399, 1532, 1807, 368, 1763, 1752, 1212, 1543, 1355, 718, 998, 1170, 1492, 618, 1613, 1382, 1590, 1535, 1161, 1568, 315, 639, 0, 592, 1711, 556, 1238, 895, 870, 1265, 813, 825, 756, 127, 269, 1423, 1665, 1382, 191, 109, 1481, 1651, 269, 467, 1581, 1056, 1355, 1540, 648, 870, 1511, 782, 1694, 1438, 1621, 1037, 1822, 1731, 1171, 1720, 486, 1216, 260, 1438, 393, 1155, 402, 1181, 524, 1331, 48, 1830, 715, 1372, 943, 1278, 1391, 769, 1820, 1054, 628, 941, 1074, 688, 1309, 757, 1130, 116, 1668, 467, 1590, 1206, 1797, 514, 1830, 1025, 1403, 114, 1327, 994, 1383, 997, 758, 858, 1629, 230, 1295, 1450, 1089, 1471, 665, 86, 755, 1475, 1136, 1175, 972, 767, 737, 1703, 1833, 935, 1431, 918, 741, 877, 519, 913, 1829, 1001, 1630, 903, 1384, 1757, 1823, 1463, 1388, 1797, 757, 1762, 1229, 783, 1459, 321, 1788, 969, 1451, 814, 1375, 1083, 1627, 1056, 1750, 790, 476, 679, 1512, 798, 1714, 886, 894, 1057, 210, 1687, 402, 1471, 1410, 303, 823, 361, 1546, 295, 1660, 298, 519, 1664, 1588, 1309, 359, 1152, 1344, 1526, 1576, 1459, 1745, 1741, 1367, 1489, 1660, 1064, 1510, 1830, 718, 1081, 1187, 626, 143, 1726, 201, 991, 109, 500, 1078, 427, 1516, 1518, 1677, 771, 662, 920, 1779, 802, 1178, 834, 230, 682, 1566, 428, 783, 231, 1104, 1772, 1488, 875, 1215, 744, 1735, 1027, 1144, 1175, 1711, 1829, 927, 1802, 1393, 1400, 1765, 1036, 1701, 1114, 1496, 1553, 891, 672, 169, 785, 368, 1327, 18, 1664, 1475, 1259, 657, 1299, 1250, 815, 1760, 940, 352, 1661, 1310, 359, 1394, 1310, 105, 1751, 794, 439, 1664, 483, 1599, 129, 286, 1500, 519, 1827, 1730, 1679, 1421, 1781, 1730, 1705, 1654, 1010, 772, 1211, 526, 691, 1745, 1005, 271, 53, 560, 299, 306, 329, 1399, 1534, 1647, 1584, 927, 190, 549, 592, 1300, 1701, 0, 1693, 1099, 1201, 718, 430, 13, 787, 796, 753, 1593, 1500, 1612, 1754, 230, 117, 10, 546, 1333, 461, 1077, 812, 520, 1626, 335, 644, 654, 576, 1626, 822, 1452, 409, 767, 1447, 202, 1230, 328, 782, 1399, 326, 495, 822, 716, 636, 787, 859, 1300, 1019, 333, 1460, 1546, 298, 1624, 1552, 749, 1819, 649, 552, 1406, 349, 53, 556, 115, 1647, 170, 874, 1237, 522, 1192, 1400, 1399, 1285, 1282, 1311, 1181, 1395, 1486, 1422, 1720, 1033, 1160, 1478, 1432, 1395, 744, 1395, 1421, 845, 661, 259, 674, 1106, 1111, 1171, 386, 1171, 179, 1264, 388, 1139, 514, 862, 1075, 480, 426, 730, 310, 961, 1188, 299, 475, 1561, 697, 1369, 558, 952, 1778, 1766, 1007, 1797, 1817, 477, 1490, 1104, 648, 341, 1383, 1217, 444, 1573, 877, 1080, 747, 964, 588, 136, 1229, 921, 1434, 803, 1588, 835, 1450, 783, 1735, 579, 809, 1171, 248, 715, 260, 1292, 147, 1469, 1282, 814, 1668, 1328, 638, 1164, 1143, 1809, 47, 1689, 202, 1506, 6, 1083, 4, 1402, 658, 932, 1445, 981, 832, 1504, 934, 1830, 779, 1659, 1622, 1380, 416, 863, 1, 202, 1820, 1259, 806, 1375, 98, 1349, 1520, 1238, 935, 930, 197, 593, 1688, 434, 864, 1463, 122, 1175, 123, 1688, 49, 1326, 1711, 399, 1114, 1621, 1667, 1466, 202, 67, 822, 556, 1677, 1035, 1354, 1749, 640, 1751, 1099, 1329, 1428, 1074, 1422, 1305, 979, 1817, 1665, 1476, 1033, 1359, 1418, 266, 838, 1211, 865, 50, 554, 166, 1436, 855, 1424, 595, 644, 1349, 95, 1779, 678, 1464, 1073, 831, 1744, 709, 1644, 725, 298, 46, 407, 1018, 213, 1217, 50, 26, 1489, 1204, 394, 137, 1086, 173, 218, 329, 977, 462, 137, 276, 1317, 1166, 1186, 1026, 376, 73, 1782, 827, 1066, 682, 73, 395, 1344, 1065, 1423, 1366, 1341, 110, 341, 1719, 808, 583, 261, 1292, 1584, 1323, 872, 19, 384, 268, 1293, 793, 1605, 909, 976, 990, 1482, 108, 268, 1743, 782, 873, 637, 890, 575, 875, 1139, 1415, 1599, 430, 1728, 22, 1308, 1784, 1422, 803, 1375, 116, 1747, 1351, 850, 1631, 1764, 519, 18, 1817, 931, 1725, 860, 1491, 725, 870, 1709, 213, 1337, 1524, 631, 1754, 1691, 1546, 1390, 344, 869, 42, 1174, 722, 367, 1689, 356, 506, 454, 1081, 1687, 730, 1731, 934, 1698, 461, 1095, 236, 186, 1421, 270, 1492, 1541, 388, 1134, 1249, 1345, 1833, 513, 1247, 301, 1466, 1226, 1328, 868, 1174, 498, 565, 81, 1324, 147, 958, 965, 1078, 1743, 1388, 661, 1309, 1227, 1292, 1320, 583, 778, 716, 1600, 893, 1768, 1681, 1715, 878, 36, 1062, 57, 1071, 695, 1687, 961, 1670, 949, 532, 925, 203, 1719, 248, 1537, 547, 839, 1253, 1105, 917, 999, 1086, 1464, 1172, 970, 1430, 382, 1325, 1723, 1009, 374, 1592, 1221, 1775, 154, 577, 1364, 213, 1403, 507, 822, 1130, 1177, 359, 1688, 1596, 1719, 1741, 1702, 1648, 1693, 1774, 1241, 1496, 1707, 675, 1132, 1126, 550, 433, 552, 715, 164, 589, 354, 190, 769, 642, 1014, 376, 7, 1330, 1487, 132, 409, 911, 637, 1138, 128, 725, 480, 153, 428, 1697, 428, 46, 870, 18, 1649, 1735, 1238, 1807, 1329, 1287, 1821, 1034, 1818, 1099, 1364, 1705, 1164, 1720, 1118, 1099, 1277, 316, 918, 832, 762, 967, 199, 1211, 1191, 1399, 547, 1389, 452, 1379, 759, 835, 849, 815, 1802, 1282, 1014, 795, 1611, 804, 1711, 1076, 1082, 491, 1763, 658, 105, 1513, 774, 1558, 335, 714, 230, 67, 22, 18, 1524, 1832, 887, 1630, 1238, 705, 1662, 1278, 514, 1720, 756, 835, 927, 503, 1145, 825, 572, 1431, 752, 1407, 992, 890, 779, 230, 721, 1175, 1312, 32, 1772, 1826, 714, 308, 1171, 440, 1364, 1331, 178, 1817, 1720, 865, 1793, 1565, 1430, 1486, 823, 785, 1010, 666, 1142, 1292, 1036, 1045, 1286, 1407, 969, 108, 310, 662, 1666, 831, 1322, 42, 1780, 286, 819, 488, 700, 759, 146, 532, 65, 105, 201, 648, 1447, 549, 243, 844, 315, 725, 1027, 67, 1403, 178, 1535, 1099, 400, 477, 931, 985, 1183, 146, 705, 1238, 393, 688, 1747, 719, 1670, 1061, 844, 789, 1330, 1701, 1743, 158, 662, 1510, 816, 503, 1688, 1409, 1734, 790, 1718, 1002, 863, 1830, 782, 736, 1565, 1041, 1268, 518, 950, 514, 1754, 98, 1040, 593, 1305, 1666, 681, 1211, 1727, 1589, 510, 1002, 18, 1018, 1495, 911, 1820, 1466, 1286, 1472, 582, 1708, 1689, 976, 1084, 823, 1192, 1411, 658, 158, 30, 1077, 759, 430, 1245, 137, 816, 1238, 463, 569, 1559, 944, 1224, 295, 972, 1618, 1, 1367, 218, 700, 1019, 1018, 1364, 1593, 793, 1131, 1096, 837, 188, 1120, 1795, 1321, 1034, 1525, 1028, 1091, 981, 989, 495, 1305, 989, 1705, 1028, 1329, 735, 999, 1752, 981, 989, 627, 1028, 1164, 1070, 743, 1118, 627, 930, 486, 724, 1151, 936, 1145, 465, 751, 561, 301, 1262, 16, 301, 1016, 1244, 1478, 1570, 710, 1348, 1242, 751, 1284, 585, 591, 1151, 301, 799, 561, 555, 377, 710, 1233, 1244, 762, 1233, 281, 555, 377, 692, 516, 896, 785, 1007, 1512, 824, 1461, 932, 377, 758, 1530, 1569, 1362, 1163, 281, 387, 751, 1151, 516, 1233, 465, 1144, 1338, 680, 651, 247, 933, 1399, 497, 1596, 610, 1069, 277, 248, 1636, 25, 949, 254, 1275, 678, 549, 1506, 1766, 1324, 684, 1099, 1232, 523, 1306, 655, 1185, 58, 1360, 297, 533, 791, 702, 400, 1814, 47, 1362, 1369, 1393, 1078, 1261, 711, 1499, 1742, 1324, 1733, 1429, 1675, 1333, 1671, 1801, 1438, 1455, 831, 1321, 1486, 177, 460, 879, 169, 1038, 548, 128011, 128001 ]
[ 128000, 128002, 40, 1120, 5828, 956, 2771, 422, 358, 574, 2133, 311, 387, 3025, 311, 656, 433, 11, 719, 358, 2846, 6380, 11, 499, 1440, 11, 311, 2103, 387, 704, 1618, 323, 3815, 6946, 369, 499, 7752, 13, 1628, 358, 690, 4762, 6435, 1523, 264, 2697, 2766, 439, 584, 636, 1139, 6287, 11, 1606, 358, 1205, 311, 864, 57263, 264, 15860, 315, 6946, 430, 690, 733, 704, 1418, 358, 2846, 304, 7926, 11, 1606, 358, 690, 539, 387, 13758, 2162, 505, 6287, 56766, 311, 1093, 6841, 56766, 13, 128003, 128005, 766, 686, 735, 1362, 1151, 627, 666, 1007, 1112, 1720, 804, 121, 1316, 655, 1404, 339, 1127, 498, 271, 87, 1004, 318, 764, 200, 1368, 833, 1447, 1503, 1416, 1312, 454, 1264, 1325, 201, 125, 312, 1637, 549, 529, 166, 67, 1296, 592, 1476, 1450, 1332, 1372, 1602, 969, 1612, 22, 525, 1725, 791, 506, 28, 518, 1681, 79, 1615, 519, 319, 1030, 1631, 123, 1555, 679, 1249, 1600, 1584, 183, 26, 1815, 335, 865, 1367, 886, 255, 793, 616, 1495, 374, 1276, 577, 835, 639, 1800, 1791, 1217, 1827, 1260, 1208, 497, 774, 1223, 9, 271, 1277, 864, 1056, 469, 806, 1010, 730, 1760, 1312, 1296, 319, 124, 510, 1798, 1818, 1333, 1351, 877, 1651, 1025, 9, 1393, 1520, 679, 118, 1326, 1338, 1384, 966, 193, 1365, 1769, 251, 336, 1343, 1733, 1700, 1633, 633, 29, 1571, 1794, 774, 694, 1353, 920, 566, 205, 719, 900, 1516, 1796, 562, 795, 1159, 334, 730, 1707, 843, 293, 555, 628, 736, 1008, 940, 272, 1640, 1279, 1396, 1571, 440, 519, 919, 626, 325, 479, 90, 1018, 211, 736, 705, 1675, 104, 611, 230, 1042, 1364, 1218, 1142, 1483, 1112, 1375, 1517, 1668, 788, 1705, 1411, 1519, 1809, 1034, 1717, 1489, 1059, 490, 724, 586, 1070, 724, 971, 1746, 610, 1347, 309, 248, 1241, 402, 1372, 665, 1436, 125, 216, 1134, 1434, 29, 1161, 143, 769, 609, 1015, 579, 76, 208, 164, 221, 300, 573, 306, 300, 573, 1008, 1823, 1369, 1418, 1036, 1304, 827, 769, 269, 1599, 973, 1450, 1094, 996, 132, 834, 1756, 962, 127, 1690, 1723, 1830, 885, 771, 649, 1043, 526, 995, 1076, 1810, 1156, 865, 1241, 688, 930, 1310, 738, 947, 644, 1665, 907, 1648, 13, 1319, 1335, 32, 782, 1463, 1376, 183, 1552, 122, 1027, 714, 510, 1565, 546, 1527, 1528, 719, 1483, 491, 1449, 1439, 248, 1759, 1332, 716, 1460, 1464, 1775, 1786, 1725, 1556, 714, 898, 507, 628, 1004, 552, 948, 791, 82, 146, 36, 475, 83, 162, 1126, 892, 901, 621, 483, 1401, 1831, 989, 239, 959, 700, 1591, 1344, 1376, 1490, 791, 1599, 1042, 687, 1778, 1492, 1441, 917, 1285, 1028, 1740, 748, 1626, 1283, 1607, 1329, 519, 834, 225, 1411, 1667, 1253, 211, 1390, 117, 216, 1681, 1267, 1302, 1345, 992, 1057, 57, 703, 582, 1624, 1068, 1752, 1270, 57, 112, 1821, 889, 514, 1435, 493, 123, 1599, 357, 1563, 230, 1436, 1466, 889, 1701, 977, 1116, 920, 506, 1448, 645, 787, 1026, 745, 1078, 481, 619, 29, 1417, 759, 1171, 903, 152, 1318, 383, 210, 1755, 300, 210, 1542, 300, 93, 736, 452, 252, 546, 1001, 1519, 110, 1712, 129, 320, 1238, 1376, 1611, 1583, 1691, 1770, 1411, 1817, 1306, 979, 1704, 1036, 719, 1279, 1175, 1735, 1752, 640, 1118, 1379, 938, 1486, 1057, 1803, 1750, 669, 396, 1227, 19, 1184, 1263, 318, 1066, 656, 628, 1403, 1047, 1212, 552, 1040, 408, 349, 408, 927, 393, 1825, 321, 898, 636, 1147, 214, 875, 1714, 1598, 184, 1365, 1680, 1441, 9, 472, 200, 132, 1232, 1369, 1787, 1019, 1784, 1519, 1742, 1303, 1045, 1372, 955, 511, 138, 800, 1184, 349, 721, 742, 1404, 1708, 1245, 1342, 1210, 18, 529, 1482, 592, 648, 362, 320, 1741, 782, 870, 1379, 399, 636, 495, 1420, 291, 98, 1422, 1184, 57, 191, 557, 1741, 1193, 1192, 1394, 682, 211, 1623, 1789, 1472, 1035, 983, 1196, 822, 1005, 433, 1500, 463, 475, 993, 179, 813, 927, 110, 361, 1370, 1350, 856, 1502, 688, 1494, 1671, 1271, 1431, 1708, 856, 197, 312, 742, 1537, 326, 1688, 1611, 913, 952, 472, 1618, 1583, 613, 1596, 492, 1635, 1795, 904, 900, 1568, 1656, 524, 217, 57, 889, 1275, 794, 200, 1291, 1009, 497, 1798, 1457, 1119, 1134, 339, 1484, 521, 1395, 1066, 1680, 57, 1490, 1364, 753, 183, 714, 1521, 1468, 1476, 1401, 1228, 361, 1120, 158, 1601, 510, 875, 507, 1341, 554, 57, 1789, 18, 1581, 1238, 1383, 41, 1513, 1553, 1661, 1660, 1526, 865, 1572, 1792, 928, 655, 692, 772, 250, 121, 598, 666, 680, 133, 673, 862, 264, 1710, 1270, 1777, 884, 127, 839, 884, 1240, 326, 1568, 231, 105, 1826, 1450, 481, 1677, 1514, 86, 1717, 1654, 1424, 1513, 1776, 1829, 416, 1030, 1568, 1238, 184, 1502, 1290, 127, 738, 1730, 1769, 1365, 662, 950, 702, 134, 1617, 1451, 333, 198, 1287, 592, 440, 1164, 962, 1621, 239, 576, 1412, 812, 184, 1629, 485, 856, 1491, 1518, 616, 1525, 1596, 909, 438, 1605, 1112, 727, 17, 732, 1689, 534, 1092, 939, 199, 923, 513, 1071, 1814, 699, 1356, 210, 1138, 934, 1207, 868, 1191, 95, 1204, 212, 565, 829, 1089, 518, 1310, 1253, 536, 1831, 1607, 1799, 943, 1389, 609, 132, 1645, 759, 848, 1454, 254, 1315, 1468, 1441, 1342, 18, 129, 1002, 26, 4, 1410, 654, 1748, 1797, 34, 1809, 1225, 1642, 1279, 1074, 1717, 1367, 1270, 1832, 1104, 1451, 1556, 1146, 1791, 1458, 1290, 86, 724, 460, 259, 418, 1683, 1164, 416, 1100, 1200, 989, 36, 1778, 1539, 249, 1720, 1790, 1001, 1333, 1758, 951, 599, 1086, 1375, 1366, 617, 1176, 639, 688, 1598, 1375, 1332, 890, 1533, 191, 1665, 1586, 312, 1297, 858, 395, 1722, 1702, 932, 242, 1071, 449, 1355, 1337, 1794, 1410, 1613, 1391, 1313, 724, 1116, 941, 1245, 202, 716, 713, 1447, 1449, 889, 716, 1686, 945, 481, 1420, 1545, 1213, 1235, 1433, 1089, 882, 835, 516, 1517, 240, 1746, 1075, 1754, 1651, 1805, 1465, 1159, 1680, 1517, 1001, 508, 742, 1427, 1326, 539, 1477, 1088, 1046, 1287, 388, 514, 1670, 1041, 248, 1689, 1261, 831, 950, 1232, 807, 869, 1179, 1070, 1108, 396, 686, 1345, 589, 806, 816, 934, 892, 1229, 9, 1221, 949, 592, 898, 662, 502, 1410, 1633, 1, 931, 714, 769, 1447, 1082, 1160, 1526, 806, 725, 197, 1326, 1225, 1573, 1520, 1451, 416, 95, 1281, 854, 239, 317, 501, 788, 1069, 1832, 962, 648, 289, 1493, 962, 1438, 157, 63, 1736, 993, 678, 214, 1819, 1230, 1078, 443, 1643, 356, 384, 198, 137, 1422, 546, 1744, 1458, 399, 1525, 1329, 1532, 1705, 943, 1795, 1164, 1139, 1118, 1379, 1687, 1648, 1565, 1114, 316, 242, 259, 781, 1200, 1333, 609, 1192, 637, 997, 270, 1209, 579, 1275, 191, 1028, 607, 1385, 600, 1752, 590, 1681, 616, 1446, 1313, 593, 1118, 150, 1313, 592, 1766, 492, 1459, 901, 112, 716, 1596, 955, 607, 1580, 390, 564, 1426, 1135, 525, 719, 147, 1087, 452, 260, 1758, 179, 1030, 1056, 1443, 969, 1402, 1152, 1308, 861, 949, 967, 831, 378, 1517, 150, 1783, 779, 1096, 660, 839, 1129, 106, 1431, 370, 660, 1247, 115, 737, 1143, 210, 48, 483, 718, 1281, 1132, 1097, 102, 1534, 1029, 443, 1758, 383, 657, 1822, 1344, 1722, 969, 160, 947, 647, 1050, 955, 1285, 911, 1427, 1352, 996, 258, 203, 1322, 564, 601, 1037, 1092, 1002, 858, 1731, 1041, 1331, 1447, 958, 1776, 1125, 1177, 1742, 1226, 723, 1506, 955, 951, 422, 797, 1191, 937, 113, 1462, 424, 1716, 892, 326, 1816, 1041, 977, 1794, 1221, 556, 532, 361, 213, 1766, 771, 1715, 1532, 1790, 780, 943, 239, 440, 1459, 239, 1349, 1793, 1701, 1430, 1033, 878, 42, 1028, 1074, 1144, 989, 1646, 964, 979, 891, 1168, 1104, 548, 1343, 957, 971, 501, 513, 301, 666, 905, 999, 1156, 1765, 1018, 935, 1592, 1672, 1652, 1139, 1731, 550, 1720, 1310, 1243, 848, 1387, 4, 33, 1588, 1265, 1173, 1298, 386, 1088, 474, 788, 73, 1792, 1382, 688, 1719, 1221, 835, 1637, 326, 1288, 996, 875, 117, 835, 930, 395, 830, 1005, 1498, 422, 789, 1125, 309, 352, 1229, 958, 441, 104, 41, 1267, 1361, 1493, 960, 1174, 1511, 11, 269, 1698, 1175, 1504, 599, 539, 490, 1476, 503, 1109, 1139, 532, 1810, 1810, 663, 976, 1718, 1238, 181, 1700, 1160, 1278, 1803, 1040, 1744, 1033, 1203, 326, 1155, 1098, 1062, 777, 1436, 1369, 1218, 1059, 1436, 214, 1593, 999, 1439, 63, 1365, 1349, 1411, 182, 312, 1681, 1104, 126, 1416, 952, 1733, 1012, 1816, 1594, 1622, 60, 284, 188, 676, 1411, 250, 999, 1739, 275, 1074, 449, 724, 1448, 470, 666, 1142, 516, 1151, 724, 1185, 465, 516, 1011, 387, 627, 1536, 567, 957, 704, 301, 957, 712, 939, 1536, 680, 486, 1385, 526, 1256, 1397, 1279, 1073, 1205, 1524, 1498, 1202, 205, 1173, 590, 500, 1224, 700, 1042, 456, 63, 1823, 1761, 903, 116, 1564, 1355, 303, 1545, 1450, 48, 1628, 1422, 310, 935, 1099, 1718, 748, 1798, 117, 1634, 1259, 1155, 545, 1438, 1002, 503, 1589, 205, 264, 1221, 1598, 1453, 1067, 1138, 670, 1271, 1115, 1455, 1111, 1804, 173, 839, 1636, 210, 1417, 827, 248, 876, 1355, 1517, 969, 1472, 363, 1329, 1333, 1259, 67, 36, 1416, 1027, 1618, 1217, 356, 639, 399, 18, 1422, 448, 1664, 1751, 1691, 1448, 1175, 927, 1611, 1082, 1735, 1001, 827, 410, 76, 969, 454, 836, 1280, 979, 756, 48, 1682, 1766, 1537, 1649, 98, 1684, 1637, 1433, 1466, 368, 1815, 1588, 1555, 1456, 1707, 981, 1121, 1664, 1638, 276, 863, 1091, 822, 1637, 1462, 545, 1819, 1229, 557, 1625, 571, 992, 1160, 73, 333, 1186, 796, 629, 1703, 853, 1255, 828, 1228, 593, 1287, 850, 755, 1505, 1042, 1774, 783, 1401, 562, 783, 1749, 1612, 1678, 362, 1750, 1489, 1129, 359, 870, 25, 1726, 81, 1126, 1620, 725, 593, 938, 847, 317, 591, 1177, 1304, 907, 687, 1625, 1358, 789, 831, 938, 1718, 1631, 67, 1217, 1287, 1823, 665, 1210, 1353, 375, 1392, 931, 1804, 790, 836, 1380, 882, 1444, 1248, 1588, 875, 169, 1306, 1235, 1053, 986, 165, 219, 244, 167, 128011, 128001 ]
[ 128000, 128002, 4516, 499, 7752, 649, 3604, 11, 499, 1440, 11, 1518, 1063, 16795, 656, 4084, 1418, 358, 2846, 3201, 13, 2030, 22371, 11, 1633, 13548, 3115, 5108, 709, 13, 362, 2763, 315, 7155, 6946, 13, 1472, 1440, 11, 279, 832, 2835, 358, 2163, 13847, 11, 902, 358, 1541, 956, 1440, 422, 430, 690, 2586, 704, 520, 430, 892, 11, 374, 279, 11799, 735, 653, 90274, 13, 2030, 3060, 1648, 11, 499, 1440, 11, 439, 5246, 439, 358, 5371, 430, 1162, 11, 358, 690, 2231, 279, 2835, 704, 13, 2100, 3508, 433, 387, 1603, 430, 11, 3508, 433, 387, 1306, 430, 11, 8996, 433, 374, 11, 128003, 128005, 34, 1039, 166, 1027, 533, 189, 911, 767, 1046, 1320, 352, 1605, 886, 1100, 117, 352, 1765, 466, 1417, 293, 1196, 1295, 1447, 937, 639, 974, 1004, 1087, 177, 1256, 1037, 1341, 837, 910, 1273, 1738, 250, 837, 974, 786, 1382, 1352, 308, 653, 1334, 1388, 131, 938, 1719, 291, 1290, 665, 1219, 901, 632, 938, 147, 1414, 277, 1171, 1083, 1364, 816, 1372, 230, 809, 1215, 973, 1380, 286, 1518, 132, 198, 1161, 10, 407, 1412, 328, 1777, 1476, 1519, 1253, 695, 701, 890, 1674, 1073, 1766, 1141, 400, 860, 1344, 609, 1167, 711, 1261, 1435, 711, 1812, 385, 927, 1661, 1160, 556, 1412, 328, 1057, 1701, 1434, 809, 875, 1005, 322, 1073, 1313, 732, 1286, 821, 1554, 1485, 799, 1460, 885, 1454, 1744, 792, 852, 1100, 368, 1593, 1286, 1404, 1083, 1153, 1427, 1755, 1790, 1662, 399, 725, 26, 315, 1342, 6, 315, 1175, 10, 1300, 1083, 485, 1524, 1774, 399, 1427, 176, 631, 1240, 409, 52, 1403, 10, 454, 788, 1403, 903, 203, 1677, 333, 1394, 703, 1805, 1691, 1515, 1580, 848, 1565, 384, 583, 849, 700, 779, 713, 376, 1518, 409, 1563, 1827, 1724, 1382, 644, 619, 969, 1783, 858, 1564, 1460, 686, 1388, 743, 589, 1504, 76, 1197, 1179, 76, 339, 1131, 179, 147, 1504, 113, 711, 1472, 1059, 1424, 1163, 1178, 1668, 1448, 1125, 475, 1580, 711, 1049, 931, 1638, 1629, 759, 1419, 1352, 1682, 1346, 1038, 1638, 1096, 1313, 1436, 939, 1160, 1788, 1822, 1160, 1419, 1459, 1432, 1114, 1404, 785, 1144, 1255, 591, 1033, 1669, 933, 1010, 691, 1167, 761, 910, 1274, 955, 1150, 1272, 1204, 374, 1392, 816, 1260, 248, 1190, 718, 13, 1443, 1472, 1358, 1663, 1745, 1358, 1417, 1435, 741, 1014, 1308, 1097, 1392, 1256, 1263, 1801, 1320, 91, 1075, 1412, 1472, 1636, 702, 1640, 1438, 1731, 1758, 1462, 1275, 1487, 955, 1291, 191, 1418, 588, 1813, 843, 1778, 987, 1791, 709, 1696, 1093, 131, 1770, 803, 1267, 721, 293, 996, 1402, 135, 1056, 910, 100, 637, 910, 190, 1280, 903, 49, 9, 1056, 245, 1392, 1253, 1027, 1674, 1743, 1711, 1076, 1432, 1397, 1486, 0, 1023, 1752, 1282, 967, 1104, 1404, 1648, 1088, 891, 1292, 1170, 732, 707, 1378, 1006, 885, 776, 316, 838, 42, 1324, 882, 362, 1323, 1445, 189, 1257, 104, 1471, 67, 329, 511, 138, 104, 1105, 346, 402, 1068, 1168, 1462, 1584, 1422, 1449, 800, 807, 162, 98, 1455, 170, 1274, 868, 637, 909, 330, 47, 1464, 100, 1357, 181, 1690, 1056, 69, 1155, 882, 175, 1096, 1459, 648, 1002, 69, 844, 1329, 409, 154, 7, 510, 1438, 147, 1315, 157, 610, 352, 537, 232, 997, 798, 69, 1407, 1156, 202, 434, 1138, 1083, 1221, 1775, 1082, 1739, 1526, 176, 249, 298, 183, 1671, 1173, 632, 466, 658, 1431, 441, 768, 184, 764, 13, 203, 1345, 877, 1808, 1649, 1317, 1400, 1344, 1441, 190, 577, 911, 175, 1770, 767, 1790, 1135, 937, 794, 1300, 1081, 1410, 1656, 1731, 931, 98, 1310, 158, 1081, 931, 1001, 1476, 958, 532, 1812, 1647, 1593, 1313, 1651, 1471, 913, 770, 1452, 1256, 1171, 699, 557, 88, 1237, 1241, 463, 589, 225, 422, 1444, 1743, 1358, 1381, 1098, 1680, 1803, 1325, 1749, 1797, 1473, 721, 1463, 1484, 1252, 1825, 1189, 1015, 1533, 214, 1339, 1313, 1445, 1750, 1027, 1243, 1313, 759, 148, 1639, 1826, 1446, 1270, 1656, 1458, 440, 158, 748, 1021, 1638, 192, 629, 685, 1212, 291, 1800, 844, 429, 1145, 1342, 439, 1573, 844, 1591, 6, 648, 1691, 863, 1519, 1240, 1323, 1527, 1221, 716, 1375, 13, 1708, 656, 688, 1797, 892, 738, 1351, 607, 1777, 1389, 1396, 1830, 1828, 1739, 1436, 1815, 1098, 22, 1830, 1212, 1718, 1714, 1646, 1747, 1489, 1722, 1321, 995, 1510, 1556, 1556, 545, 1049, 1833, 439, 763, 1692, 629, 1509, 1517, 1326, 969, 455, 1069, 1355, 1373, 1498, 1460, 748, 481, 1164, 1615, 703, 1483, 650, 1307, 129, 310, 1655, 1225, 1769, 510, 443, 1381, 1094, 1297, 618, 1472, 1041, 306, 1275, 254, 359, 546, 1105, 547, 55, 865, 93, 1248, 1056, 593, 1536, 1015, 269, 1263, 1174, 604, 147, 352, 1160, 299, 1263, 1366, 1350, 1542, 570, 794, 1342, 577, 1400, 202, 407, 1088, 581, 1400, 1379, 634, 1707, 1094, 855, 1487, 599, 1122, 113, 382, 173, 1407, 402, 1825, 596, 629, 1796, 1098, 1591, 1596, 328, 1748, 1410, 1351, 621, 310, 506, 1712, 19, 737, 1670, 730, 856, 1766, 1095, 1829, 1221, 506, 377, 1473, 646, 1829, 600, 416, 518, 454, 876, 759, 1025, 1433, 1300, 1832, 714, 1238, 1823, 631, 1631, 1690, 1450, 1807, 1798, 1627, 1779, 1644, 1418, 1727, 1510, 936, 624, 929, 970, 1037, 1456, 729, 1316, 1402, 1245, 1135, 1030, 1320, 565, 1454, 579, 1204, 961, 1466, 741, 803, 1212, 1368, 1786, 1243, 1166, 1280, 1731, 371, 1304, 864, 1466, 614, 1729, 521, 1509, 1221, 818, 945, 1295, 1369, 1745, 1049, 1462, 1311, 1245, 407, 1414, 1397, 782, 411, 1701, 1088, 952, 1337, 1441, 1769, 117, 1707, 1305, 1153, 699, 1778, 535, 589, 182, 393, 632, 872, 339, 1013, 63, 724, 359, 1360, 664, 646, 1741, 424, 1614, 997, 1472, 1004, 1124, 1394, 998, 1634, 294, 1695, 1155, 363, 1805, 1062, 469, 1185, 1357, 1640, 1474, 1456, 121, 692, 1373, 1474, 1362, 1491, 585, 606, 1071, 691, 1704, 1125, 1447, 1556, 1005, 1700, 117, 790, 1637, 1178, 1202, 1107, 446, 116, 1611, 1369, 753, 1415, 1506, 573, 600, 985, 552, 604, 88, 1325, 164, 352, 1335, 1075, 626, 1468, 809, 1630, 940, 1384, 1830, 1697, 905, 1404, 955, 1471, 1261, 1194, 794, 985, 977, 903, 1008, 240, 459, 58, 1297, 9, 245, 764, 354, 983, 295, 1318, 1407, 1320, 1275, 1385, 22, 1337, 592, 368, 1448, 1232, 370, 1055, 557, 364, 595, 1041, 874, 456, 966, 756, 302, 346, 1726, 1400, 1259, 803, 1468, 1620, 1010, 1188, 1357, 1822, 1436, 1813, 1364, 1711, 1746, 989, 1777, 1476, 454, 1716, 793, 1099, 1373, 1334, 1071, 680, 649, 594, 1343, 1498, 1680, 286, 1488, 67, 648, 840, 137, 473, 1732, 510, 315, 22, 749, 1773, 22, 1342, 1326, 1400, 374, 1407, 980, 1759, 1388, 1646, 1829, 599, 1364, 1601, 333, 1086, 931, 962, 388, 30, 1365, 750, 512, 483, 310, 640, 298, 1240, 213, 848, 1379, 1283, 1832, 1513, 1797, 58, 773, 1517, 1290, 1259, 1119, 318, 569, 1678, 645, 695, 1620, 911, 1272, 1416, 1221, 1429, 790, 112, 1314, 874, 1605, 836, 1239, 715, 835, 1748, 1249, 1662, 1132, 1132, 215, 1129, 777, 236, 1192, 524, 855, 164, 424, 570, 798, 940, 1216, 1291, 1279, 679, 471, 181, 870, 546, 362, 1682, 609, 1402, 780, 1047, 1527, 864, 1819, 1166, 1674, 679, 1797, 1620, 1339, 976, 1490, 1699, 117, 1806, 1175, 1808, 1799, 767, 1799, 719, 1091, 1813, 1329, 1496, 1373, 885, 984, 566, 578, 229, 418, 1793, 1511, 721, 1393, 230, 116, 1696, 1, 753, 1463, 546, 1741, 1308, 202, 1353, 1563, 1712, 481, 726, 764, 825, 546, 429, 203, 1521, 873, 1770, 376, 539, 345, 1141, 472, 127, 1117, 467, 116, 980, 579, 798, 6, 13, 1019, 1024, 1134, 1394, 217, 1469, 689, 1426, 455, 1532, 1117, 1252, 901, 738, 1803, 642, 1285, 1253, 840, 1342, 1015, 1606, 407, 1552, 132, 648, 1375, 315, 1027, 1651, 844, 825, 1247, 1649, 1311, 858, 856, 1416, 1374, 1149, 1005, 1799, 58, 15, 508, 1673, 1287, 1485, 907, 205, 532, 1320, 1101, 610, 13, 1172, 985, 456, 1701, 395, 437, 1134, 214, 1219, 870, 615, 1287, 858, 416, 52, 519, 0, 6, 1451, 1500, 1061, 297, 1728, 398, 753, 1267, 833, 753, 1659, 1535, 1593, 1164, 590, 685, 697, 1124, 1053, 147, 1326, 522, 1059, 374, 1799, 1815, 1433, 400, 1411, 1432, 416, 1162, 1308, 605, 83, 1626, 687, 1814, 510, 1381, 812, 514, 1779, 863, 1368, 233, 315, 1018, 448, 1337, 736, 154, 1500, 640, 1691, 1707, 1546, 1713, 1714, 1379, 438, 1170, 1638, 1322, 872, 1763, 1306, 1313, 1114, 902, 1730, 1114, 1205, 17, 334, 661, 1131, 1391, 841, 632, 1220, 658, 260, 1422, 841, 1690, 388, 932, 1351, 120, 1769, 593, 1601, 941, 1244, 411, 875, 1542, 557, 1626, 73, 385, 1698, 662, 1763, 861, 1622, 1701, 0, 1226, 1435, 1031, 491, 1575, 1720, 1446, 495, 1637, 910, 1805, 565, 1266, 1633, 1809, 37, 1142, 1432, 1833, 813, 1021, 626, 1617, 1765, 1684, 1513, 1513, 1109, 817, 657, 426, 510, 792, 1310, 1233, 73, 1319, 621, 1360, 1140, 1766, 306, 1032, 142, 1125, 82, 719, 210, 1466, 212, 1453, 587, 1682, 518, 1693, 816, 1689, 1345, 1649, 18, 67, 1354, 1161, 1462, 665, 616, 1691, 965, 1786, 1497, 945, 256, 1401, 627, 580, 1185, 386, 647, 407, 1102, 1261, 1200, 1249, 736, 987, 1104, 373, 636, 374, 1028, 433, 1158, 384, 662, 1631, 1775, 111, 1268, 1489, 792, 881, 1353, 1, 1409, 10, 1048, 1299, 707, 353, 387, 1462, 1483, 1471, 1325, 127, 1624, 1139, 1808, 1139, 176, 1703, 1270, 1397, 1193, 1326, 770, 1515, 1692, 480, 1698, 583, 783, 834, 255, 609, 1476, 1281, 508, 688, 1789, 300, 797, 2, 441, 349, 958, 550, 155, 1280, 715, 937, 1349, 1129, 1472, 1099, 1443, 1037, 1282, 1131, 1028, 1314, 971, 1134, 1260, 460, 1309, 693, 964, 933, 751, 933, 377, 1727, 1244, 724, 795, 971, 1198, 1025, 59, 1469, 710, 538, 630, 1045, 1000, 1286, 1192, 479, 1127, 113, 1500, 1388, 1637, 1537, 1443, 1292, 422, 732, 52, 898, 1002, 1463, 969, 1233, 353, 1067, 1443, 406, 962, 1372, 865, 1069, 731, 774, 368, 1241, 1189, 324, 993, 880, 364, 1101, 142, 186, 1264, 76, 1182, 53, 1117, 1136, 945, 1411, 1620, 1434, 1680, 923, 1094, 1059, 1042, 1063, 750, 211, 1176, 678, 572, 1004, 1461, 994, 1411, 306, 1690, 637, 1207, 756, 370, 1402, 1261, 1122, 547, 1036, 1234, 1422, 1698, 1251, 1216, 1131, 733, 1064, 307, 772, 1385, 751, 676, 1198, 988, 1829, 1186, 1443, 428, 1340, 1541, 759, 860, 721, 388, 764, 570, 827, 811, 1498, 1633, 1384, 1498, 742, 1317, 1636, 941, 364, 1516, 1119, 372, 1661, 182, 835, 1556, 821, 682, 182, 411, 454, 1270, 983, 293, 1392, 1009, 648, 112, 1794, 884, 678, 98, 713, 286, 175, 202, 1485, 1637, 176, 1704, 636, 1734, 1714, 471, 1665, 219, 165, 244, 244, 128011, 128001 ]
[ 128000, 128002, 40, 690, 2744, 656, 279, 1162, 653, 2054, 826, 6946, 7214, 1120, 5353, 13, 128003, 128005, 950, 387, 1298, 1227, 1089, 958, 221, 123, 1074, 571, 252, 1670, 1214, 628, 539, 758, 1256, 491, 1507, 1511, 610, 397, 1437, 475, 836, 1190, 697, 424, 63, 1226, 339, 575, 1634, 621, 481, 1400, 439, 1359, 13, 1152, 556, 616, 1580, 483, 1563, 315, 1415, 1617, 870, 1808, 398, 999, 825, 1284, 714, 935, 328, 1026, 1451, 1620, 1798, 1541, 581, 877, 493, 1640, 776, 1215, 1256, 440, 1568, 1465, 1332, 1611, 556, 877, 103, 1019, 767, 1427, 1700, 1387, 1678, 448, 1549, 1720, 1261, 55, 1496, 1056, 540, 996, 1011, 1312, 1687, 850, 1740, 1420, 1191, 1172, 569, 1089, 1063, 142, 956, 149, 628, 944, 1381, 1110, 1331, 481, 1420, 1812, 1421, 1412, 929, 1475, 1308, 750, 626, 1528, 1310, 1520, 117, 1663, 891, 1286, 334, 876, 1120, 1295, 1664, 1444, 1679, 1732, 1678, 640, 1755, 1614, 1359, 1464, 1354, 1535, 1758, 1370, 626, 1238, 1312, 368, 758, 1388, 852, 95, 1512, 57, 1319, 192, 1694, 1100, 1, 1100, 1832, 47, 583, 1291, 315, 1704, 529, 720, 1006, 858, 1743, 1734, 510, 1296, 1580, 1660, 1705, 1611, 1254, 361, 1649, 304, 931, 445, 774, 620, 576, 1151, 725, 935, 812, 479, 683, 1558, 296, 1280, 485, 1521, 1520, 749, 126, 1618, 631, 1264, 1061, 577, 125, 1645, 833, 944, 112, 1713, 901, 917, 1474, 1588, 158, 1787, 802, 687, 395, 865, 599, 703, 865, 1493, 1657, 440, 1661, 848, 1278, 1431, 230, 901, 415, 46, 117, 356, 320, 1631, 328, 1821, 878, 1410, 977, 1241, 697, 1520, 452, 610, 47, 1221, 58, 1342, 876, 57, 486, 1345, 183, 519, 183, 848, 1225, 230, 719, 1797, 176, 1524, 1436, 957, 165, 156, 244, 244, 128011, 128001 ]
[ 128000, 128002, 2675, 1440, 11, 358, 1390, 311, 636, 279, 502, 6392, 704, 311, 499, 7752, 439, 5246, 439, 3284, 11, 719, 264, 2763, 315, 6392, 358, 3077, 1027, 34988, 31445, 706, 1027, 2362, 6392, 11, 719, 499, 1440, 11, 430, 3250, 956, 3152, 433, 596, 14647, 28859, 13, 2100, 63445, 7752, 11, 14931, 369, 18302, 901, 13, 358, 1120, 4934, 311, 3041, 499, 430, 4062, 2697, 2713, 13, 2100, 358, 3358, 1518, 499, 7752, 5246, 369, 2500, 2835, 13, 90425, 1457, 13, 128003, 128005, 496, 766, 1118, 1638, 798, 1085, 1136, 1718, 656, 1526, 892, 1378, 1304, 521, 1318, 1352, 571, 1208, 76, 1282, 550, 1298, 937, 930, 73, 540, 1286, 593, 1644, 552, 987, 1129, 492, 1444, 1135, 514, 1477, 461, 1506, 892, 919, 374, 17, 1171, 444, 1652, 1541, 1478, 788, 512, 1324, 863, 252, 1527, 65, 1822, 236, 1084, 1146, 1339, 1658, 1710, 171, 1714, 1282, 1268, 1500, 545, 1535, 1594, 1789, 740, 983, 1244, 197, 895, 787, 865, 789, 1510, 725, 1006, 178, 835, 1370, 1636, 473, 276, 1300, 409, 202, 1400, 50, 28, 938, 1175, 708, 1541, 958, 809, 1337, 798, 1764, 1332, 1689, 1489, 1462, 1169, 1077, 324, 571, 1328, 152, 741, 1158, 768, 1265, 1472, 864, 1152, 1784, 1808, 1422, 230, 599, 1450, 6, 1774, 1349, 798, 608, 1488, 962, 1467, 1825, 1228, 916, 1139, 1140, 1662, 1220, 1066, 1481, 146, 725, 1621, 1124, 700, 1765, 183, 510, 1366, 1583, 117, 1431, 333, 1457, 176, 276, 1287, 6, 440, 1568, 1061, 1156, 1801, 725, 1765, 678, 1524, 1326, 1221, 1784, 1441, 315, 1563, 176, 1646, 957, 1664, 1064, 1489, 956, 1119, 753, 956, 1209, 412, 524, 1271, 1222, 65, 1477, 1433, 1272, 529, 1518, 132, 362, 333, 844, 1245, 1821, 1004, 1696, 1594, 1773, 1491, 1408, 1459, 718, 1744, 1083, 1460, 490, 1723, 1686, 355, 674, 929, 42, 1700, 622, 1463, 1110, 660, 1452, 1107, 1086, 57, 1141, 1488, 890, 1187, 482, 127, 138, 841, 403, 380, 446, 294, 260, 157, 300, 839, 47, 532, 972, 128, 1422, 1232, 1470, 128, 648, 52, 648, 1139, 213, 1376, 940, 1087, 303, 637, 723, 1113, 1135, 1086, 479, 1368, 1769, 1468, 1715, 1677, 589, 1311, 370, 424, 1519, 309, 352, 1636, 741, 828, 989, 828, 1236, 1256, 1590, 495, 809, 1392, 989, 755, 738, 701, 269, 859, 1166, 835, 1535, 1762, 1727, 1800, 1352, 1360, 1831, 984, 1699, 629, 729, 1637, 617, 1231, 1744, 835, 758, 1715, 1530, 1703, 1723, 1673, 701, 1794, 1527, 1459, 1591, 1810, 725, 490, 592, 191, 792, 725, 913, 1092, 79, 1025, 1680, 295, 1289, 1427, 1217, 953, 519, 1109, 1138, 1415, 1013, 1423, 362, 1187, 1310, 1296, 1275, 1263, 848, 1829, 1438, 1808, 1541, 1824, 1485, 1124, 1281, 510, 10, 1304, 1280, 848, 1726, 117, 1825, 1449, 930, 1806, 1801, 1513, 1821, 1393, 1513, 1793, 1436, 1724, 1822, 1364, 1419, 1434, 1665, 516, 1752, 933, 795, 1621, 1079, 571, 827, 560, 352, 1447, 1182, 797, 2, 1335, 1399, 822, 113, 98, 26, 295, 428, 592, 1394, 1711, 736, 1778, 1565, 495, 1165, 1173, 326, 500, 989, 872, 212, 1742, 596, 695, 333, 1326, 1519, 688, 1524, 1073, 744, 1306, 1499, 555, 1230, 594, 950, 1108, 674, 1771, 1065, 411, 150, 1748, 424, 1377, 1147, 935, 1653, 998, 1587, 718, 1603, 424, 1609, 456, 505, 721, 1713, 965, 22, 1014, 920, 936, 1698, 1117, 1323, 1322, 1402, 59, 1476, 1152, 1628, 1649, 1292, 507, 599, 636, 409, 1436, 746, 356, 1009, 154, 1549, 1510, 1349, 1279, 1051, 1122, 441, 361, 656, 977, 1814, 571, 997, 1208, 408, 1056, 1298, 1449, 1682, 1468, 1810, 1002, 1631, 1259, 239, 1623, 1746, 1421, 824, 1268, 918, 717, 666, 1601, 1261, 589, 1369, 479, 621, 231, 402, 1661, 277, 1013, 510, 1365, 1705, 1320, 1301, 1833, 1738, 594, 1099, 879, 199, 924, 832, 1772, 909, 1273, 1524, 269, 1555, 886, 716, 454, 1295, 1358, 1171, 1218, 940, 803, 1790, 941, 1494, 86, 269, 1164, 703, 91, 1671, 598, 601, 42, 984, 1601, 1433, 338, 744, 17, 1289, 710, 301, 899, 1362, 861, 1011, 1319, 555, 1255, 1023, 1051, 1492, 992, 1355, 1344, 644, 1699, 1692, 1508, 1411, 1827, 829, 1335, 629, 1492, 1393, 1468, 890, 920, 1363, 348, 1416, 1245, 1459, 1647, 502, 126, 1449, 1153, 1711, 1069, 1596, 877, 750, 1379, 682, 1596, 1493, 999, 1678, 312, 1771, 1654, 1712, 48, 1432, 1679, 1537, 1718, 625, 1455, 454, 1611, 1426, 1417, 895, 1267, 1717, 1602, 1653, 298, 731, 1565, 1627, 1141, 1622, 895, 197, 1257, 1098, 1001, 1156, 1261, 1697, 1485, 1340, 1387, 362, 22, 368, 0, 1494, 368, 1700, 176, 26, 1711, 1018, 485, 636, 454, 1671, 545, 1117, 1631, 657, 687, 1004, 1421, 789, 1439, 875, 1141, 627, 466, 930, 361, 1146, 1026, 1583, 1593, 1406, 1486, 150, 939, 1779, 939, 1128, 1652, 1320, 1263, 1158, 1644, 1069, 395, 1663, 938, 1237, 439, 1683, 1015, 1124, 1041, 688, 1462, 407, 1369, 1320, 1391, 1449, 1300, 150, 523, 1216, 693, 1631, 1795, 1504, 1034, 1428, 1306, 1364, 1658, 1436, 1524, 1279, 947, 1770, 1393, 1175, 1764, 1225, 1421, 378, 672, 563, 928, 154, 1547, 335, 1758, 1180, 690, 682, 104, 1109, 321, 243, 1444, 135, 1013, 1241, 192, 681, 367, 1785, 374, 1468, 904, 100, 1219, 65, 315, 1068, 949, 129, 362, 822, 129, 1801, 499, 1058, 864, 789, 901, 135, 699, 462, 128, 49, 1358, 910, 218, 1431, 1459, 725, 844, 320, 577, 1711, 1470, 416, 154, 510, 1147, 1087, 236, 1392, 162, 1015, 518, 215, 1588, 292, 1133, 697, 104, 480, 768, 1485, 1572, 886, 1485, 1796, 1241, 1487, 1324, 1389, 439, 1427, 1517, 693, 1755, 312, 120, 1331, 1392, 1194, 430, 1015, 500, 756, 1013, 499, 1174, 1253, 277, 1493, 1422, 903, 109, 1774, 1481, 1133, 1350, 1534, 787, 836, 312, 1281, 973, 1252, 1034, 907, 949, 858, 798, 1813, 1057, 1520, 952, 1422, 1166, 1558, 510, 1287, 183, 863, 1711, 679, 1402, 1431, 1324, 1124, 1075, 361, 297, 1004, 1287, 644, 1408, 1476, 1341, 1249, 1034, 1755, 815, 1035, 1661, 843, 1146, 979, 616, 1273, 28, 564, 1681, 1439, 564, 1250, 1270, 395, 1453, 750, 1221, 877, 1513, 474, 1780, 570, 934, 1310, 1459, 1257, 927, 1352, 42, 1774, 513, 1671, 1814, 1421, 1324, 1686, 1805, 719, 1806, 1347, 728, 388, 921, 367, 181, 1520, 1690, 1542, 905, 1611, 1755, 1730, 1351, 1417, 1410, 1202, 623, 1022, 629, 143, 297, 1068, 1412, 1184, 983, 1437, 909, 1321, 1195, 936, 1809, 1716, 1317, 571, 82, 1742, 299, 260, 1625, 797, 1564, 1126, 987, 1793, 1307, 1118, 1682, 1580, 1422, 848, 83, 576, 344, 870, 248, 1270, 599, 783, 541, 695, 1782, 1027, 935, 1688, 805, 792, 1287, 1114, 1738, 22, 1705, 1329, 1798, 1770, 1139, 1805, 1306, 1476, 1792, 1355, 1667, 1114, 1665, 287, 1244, 1688, 1302, 166, 1270, 1817, 1086, 291, 127, 1320, 829, 376, 847, 1365, 1088, 774, 124, 295, 416, 858, 631, 1009, 320, 1745, 388, 1387, 853, 190, 1219, 508, 198, 1049, 1827, 1552, 1348, 1332, 1330, 100, 687, 590, 270, 162, 1183, 390, 83, 100, 715, 580, 138, 52, 1347, 422, 357, 1739, 1690, 577, 502, 549, 132, 639, 1470, 1718, 1303, 1549, 1825, 1795, 1734, 1750, 1513, 1382, 1027, 315, 1549, 556, 18, 1349, 407, 713, 328, 7, 1513, 927, 700, 1001, 901, 1308, 1190, 46, 4, 138, 37, 549, 376, 136, 270, 1274, 407, 1339, 714, 1274, 882, 734, 1661, 1027, 1613, 1002, 368, 938, 1422, 1289, 855, 1308, 935, 104, 1633, 1453, 218, 941, 1581, 18, 1682, 987, 903, 282, 1295, 587, 887, 1497, 440, 1298, 1384, 521, 218, 662, 1127, 714, 1733, 756, 935, 1214, 1772, 1659, 178, 705, 1149, 528, 532, 1377, 788, 1590, 1061, 1058, 778, 374, 865, 138, 1829, 483, 590, 335, 1135, 1119, 479, 955, 1234, 756, 1156, 1026, 639, 480, 1118, 1455, 932, 1108, 1123, 1063, 1428, 1357, 523, 1118, 1251, 1003, 1338, 1033, 1623, 1474, 1233, 1293, 975, 1233, 1293, 585, 1385, 691, 676, 1424, 977, 87, 306, 83, 140, 959, 146, 1437, 152, 1819, 135, 1456, 270, 1686, 1645, 440, 1062, 775, 587, 825, 581, 178, 1252, 847, 973, 1237, 931, 1473, 903, 1075, 1312, 1272, 1155, 1392, 1462, 1092, 1716, 1462, 1775, 639, 534, 165, 219, 219, 244, 128011, 128001 ]
[ 128000, 128002, 12174, 7995, 11, 7995, 1633, 2204, 505, 1148, 21739, 1053, 656, 1457, 477, 1524, 304, 279, 1566, 5743, 315, 7895, 1667, 13, 128003, 128005, 640, 1292, 1589, 1373, 1245, 221, 84, 125, 462, 1452, 1324, 1814, 1701, 730, 1249, 1829, 1712, 67, 357, 858, 218, 714, 1082, 69, 1403, 931, 934, 112, 510, 466, 794, 1247, 1132, 858, 277, 576, 1422, 1808, 1790, 1700, 1385, 29, 1407, 1553, 376, 794, 1683, 113, 157, 440, 1745, 907, 7, 1748, 1748, 1513, 1833, 1664, 1681, 1731, 1383, 1804, 1685, 1609, 1672, 1664, 415, 1061, 409, 26, 10, 1056, 73, 346, 723, 364, 549, 1200, 346, 384, 395, 1642, 927, 55, 911, 104, 1069, 372, 1368, 1583, 1615, 920, 901, 373, 1220, 759, 553, 887, 1036, 179, 617, 1583, 1392, 665, 1757, 65, 1631, 376, 1375, 1380, 1608, 415, 372, 569, 231, 215, 943, 787, 1342, 858, 1485, 782, 1600, 1400, 863, 1638, 1774, 816, 1598, 775, 1385, 949, 1751, 1785, 1791, 1546, 1759, 599, 328, 1091, 1337, 1830, 1318, 1444, 969, 964, 63, 867, 1726, 1502, 1502, 879, 779, 289, 1206, 871, 95, 818, 1596, 1481, 1077, 422, 1395, 93, 375, 1435, 1808, 1748, 678, 346, 1741, 321, 639, 1380, 1702, 1583, 1321, 626, 1108, 616, 479, 1681, 297, 137, 1703, 1326, 277, 1754, 733, 949, 1607, 1761, 1315, 200, 656, 1405, 1590, 1631, 603, 1616, 213, 1, 1320, 65, 1687, 682, 157, 640, 729, 903, 1761, 1681, 1294, 945, 1287, 1781, 949, 609, 1404, 115, 1034, 147, 1206, 300, 53, 656, 955, 402, 1235, 1212, 1204, 813, 412, 1253, 1437, 1420, 1265, 1192, 737, 1775, 1271, 63, 1734, 1192, 1696, 1647, 1804, 1662, 1786, 73, 1590, 1015, 1417, 125, 1719, 695, 1542, 783, 384, 98, 407, 1662, 104, 1810, 407, 1281, 1382, 1284, 57, 1247, 1772, 113, 1685, 13, 1532, 467, 375, 1075, 277, 1722, 949, 1700, 949, 759, 1407, 57, 1782, 125, 1799, 159, 892, 1187, 106, 1758, 660, 36, 1123, 83, 1443, 1055, 39, 1245, 1680, 510, 52, 399, 407, 117, 1343, 1722, 1458, 522, 28, 1420, 755, 106, 813, 1492, 1084, 1601, 1405, 1181, 1123, 1110, 429, 1615, 221, 1075, 1501, 1340, 176, 1744, 1434, 359, 1647, 352, 1241, 88, 1349, 1384, 1800, 1798, 1353, 230, 18, 868, 901, 1817, 110, 0, 1419, 1558, 202, 1180, 1451, 110, 1663, 305, 1161, 234, 195, 217, 286, 983, 1009, 305, 705, 749, 1656, 218, 1485, 1731, 556, 1358, 1161, 1700, 1079, 788, 1741, 1375, 50, 1139, 507, 18, 1091, 6, 1422, 1146, 546, 1343, 888, 1623, 1114, 820, 1360, 1704, 820, 950, 1721, 1609, 1760, 1451, 785, 165, 156, 453, 244, 128011, 128001 ]
[ 128000, 128002, 24220, 11, 433, 596, 5128, 10269, 11, 499, 649, 990, 449, 433, 13, 128003, 128005, 800, 599, 1494, 1235, 858, 1015, 1349, 46, 488, 483, 774, 887, 243, 1260, 215, 1073, 580, 430, 1166, 1350, 1459, 1624, 1686, 422, 898, 152, 137, 1682, 1295, 1332, 1763, 1129, 1332, 1707, 1178, 1737, 1076, 142, 1258, 1742, 1524, 360, 1220, 1637, 1495, 1261, 1228, 1462, 1370, 668, 1611, 1627, 1121, 1797, 1086, 546, 965, 308, 621, 689, 422, 1832, 67, 1663, 556, 1620, 1238, 183, 1217, 230, 1535, 924, 1609, 301, 995, 426, 1432, 1088, 416, 1138, 53, 1345, 816, 206, 920, 48, 344, 409, 969, 1022, 1034, 780, 443, 1238, 1558, 1633, 1027, 1616, 1412, 749, 1513, 1364, 634, 1229, 1304, 1344, 462, 679, 497, 271, 708, 271, 829, 370, 887, 441, 1275, 524, 1165, 1111, 1206, 1794, 1185, 1611, 1688, 1329, 298, 1027, 767, 714, 1355, 979, 848, 1230, 308, 28, 821, 368, 1347, 1703, 1614, 751, 694, 1079, 1456, 1578, 1816, 1826, 865, 836, 1718, 346, 1789, 794, 1302, 196, 1397, 117, 1130, 767, 1437, 1455, 697, 1336, 1712, 924, 787, 1774, 1708, 753, 1798, 127, 1755, 1743, 1509, 1374, 1789, 1467, 1312, 1760, 1655, 1384, 1609, 1157, 1640, 625, 1704, 1348, 1672, 1251, 1740, 575, 807, 1773, 618, 1167, 108, 354, 368, 112, 1803, 47, 600, 1364, 1723, 1704, 1810, 740, 1373, 1525, 926, 1810, 123, 128, 1727, 1407, 1597, 1801, 1429, 1077, 270, 428, 1429, 1102, 181, 1431, 1098, 1492, 1762, 1410, 986, 672, 1677, 1079, 22, 1067, 219, 165, 453, 244, 128011, 128001 ]
[ 128000, 128002, 2028, 374, 264, 3185, 12, 50839, 11, 577, 35401, 11, 433, 596, 1120, 5015, 389, 832, 6964, 11, 779, 433, 596, 10269, 389, 279, 1023, 11, 779, 499, 649, 1120, 1131, 128003, 128005, 1813, 1430, 1702, 1356, 658, 47, 87, 243, 397, 774, 263, 1, 1369, 768, 1460, 1825, 1535, 875, 1706, 1624, 966, 140, 96, 794, 112, 157, 289, 1470, 356, 870, 592, 648, 870, 263, 1139, 1031, 798, 79, 46, 289, 973, 596, 648, 362, 298, 175, 780, 213, 794, 1086, 927, 295, 84, 1498, 50, 39, 1498, 129, 73, 1450, 192, 1656, 320, 621, 18, 102, 1459, 452, 937, 639, 1788, 565, 22, 907, 1241, 552, 943, 13, 1088, 648, 1296, 315, 298, 1139, 592, 231, 599, 315, 943, 357, 253, 1139, 1178, 352, 456, 1682, 115, 518, 1636, 159, 1742, 215, 1402, 422, 1731, 76, 989, 926, 947, 568, 1828, 560, 1227, 552, 254, 1113, 1165, 708, 81, 1171, 708, 1135, 723, 642, 1393, 1181, 1054, 1273, 447, 715, 1711, 512, 218, 28, 178, 631, 344, 202, 28, 833, 858, 1375, 872, 1638, 1322, 1722, 1614, 1749, 1327, 1011, 1704, 694, 1142, 1543, 325, 751, 1543, 1233, 1348, 666, 735, 1244, 933, 735, 1016, 799, 1142, 1284, 740, 1448, 1748, 1324, 951, 715, 83, 1583, 93, 471, 934, 157, 1731, 236, 1292, 221, 870, 806, 277, 1806, 76, 1451, 934, 768, 1804, 446, 938, 1449, 1671, 1749, 297, 1565, 1572, 1708, 1713, 121, 1668, 1479, 1108, 1749, 995, 1248, 426, 905, 766, 1668, 1294, 1602, 866, 1284, 1510, 923, 862, 1570, 1807, 1439, 1679, 1335, 1226, 357, 798, 543, 1047, 178, 1427, 1139, 1762, 1411, 1376, 1718, 6, 298, 344, 556, 1238, 767, 202, 788, 62, 654, 1688, 101, 387, 710, 820, 1543, 253, 1, 983, 1180, 454, 102, 1353, 656, 1521, 315, 556, 863, 556, 1379, 1730, 1623, 1255, 1496, 1494, 1720, 205, 600, 927, 553, 19, 76, 1356, 309, 1424, 271, 907, 461, 855, 791, 1449, 700, 1807, 1502, 1171, 525, 95, 1347, 39, 1814, 1392, 1340, 1737, 1698, 519, 1766, 1407, 1649, 9, 47, 492, 1690, 390, 1820, 260, 1598, 1772, 1620, 1485, 1649, 1047, 1685, 1709, 1521, 1691, 1687, 1790, 1717, 899, 1713, 672, 1465, 1724, 1705, 1321, 1548, 1163, 1693, 1815, 926, 1598, 1829, 159, 1365, 860, 354, 57, 492, 860, 1674, 997, 1448, 142, 579, 1064, 951, 254, 1212, 1154, 115, 18, 1014, 1002, 1802, 1659, 1519, 1701, 1241, 434, 1040, 581, 947, 1261, 292, 1230, 1256, 1036, 1079, 1306, 838, 1248, 1215, 523, 566, 284, 1475, 608, 1730, 1205, 1412, 1788, 1230, 1568, 1668, 1099, 1747, 1079, 672, 1419, 676, 1151, 1721, 888, 1527, 731, 10, 510, 1082, 202, 788, 1005, 475, 1351, 621, 860, 1813, 142, 1797, 1179, 1403, 1175, 1532, 198, 863, 546, 430, 1450, 979, 865, 1327, 1546, 1707, 1215, 1519, 723, 116, 1812, 115, 951, 147, 1042, 860, 719, 1485, 382, 546, 28, 510, 4, 822, 1018, 1282, 1140, 1378, 359, 836, 1123, 1482, 1781, 1784, 1742, 755, 1568, 1493, 208, 1546, 1629, 146, 1777, 907, 215, 1517, 205, 1563, 1741, 1805, 1344, 628, 1075, 1227, 839, 277, 1310, 1001, 1325, 1325, 1633, 878, 1781, 1711, 1146, 1322, 1524, 1631, 1205, 1375, 1293, 1360, 1589, 1346, 1059, 1701, 1623, 1329, 1654, 1632, 1139, 1543, 1313, 1215, 1805, 1230, 1781, 1322, 1329, 1696, 1205, 1687, 1011, 1130, 1805, 1648, 1306, 1628, 1292, 1600, 1176, 1496, 1644, 1343, 1513, 426, 1687, 1688, 1669, 1637, 1383, 1589, 1583, 1510, 1665, 1654, 1694, 1225, 1383, 1667, 1687, 1643, 1707, 1751, 1614, 885, 1600, 1711, 1459, 1755, 1762, 1360, 1650, 1293, 888, 1798, 821, 129, 1364, 335, 230, 989, 67, 493, 769, 592, 1361, 1761, 321, 521, 1814, 965, 181, 903, 1126, 1553, 828, 277, 1549, 5, 642, 788, 1534, 1175, 1812, 751, 1532, 1821, 1504, 485, 1708, 1831, 1018, 949, 989, 1620, 493, 1688, 1348, 1036, 642, 996, 1176, 203, 1661, 1807, 1662, 654, 183, 592, 1400, 628, 587, 1828, 113, 714, 1542, 154, 206, 870, 596, 452, 1139, 181, 1217, 746, 556, 1021, 541, 1546, 1543, 1681, 1565, 1432, 316, 165, 219, 244, 128011, 128001 ]
[ 128000, 128002, 4516, 1070, 527, 1063, 2574, 499, 656, 1205, 264, 5602, 369, 13, 2100, 584, 3358, 1120, 4018, 279, 31787, 82, 1022, 311, 1404, 13, 128003, 128005, 634, 1754, 1354, 28, 1519, 6, 230, 454, 335, 1410, 1307, 1178, 88, 1281, 790, 569, 328, 107, 1498, 549, 1493, 1354, 1368, 1400, 270, 352, 1473, 1829, 1356, 587, 13, 102, 252, 1389, 1411, 210, 532, 1492, 390, 1804, 1229, 1700, 26, 1018, 848, 230, 1175, 780, 10, 1217, 855, 524, 1647, 903, 536, 1555, 1238, 789, 1741, 1678, 1732, 0, 1644, 719, 231, 1700, 1086, 1412, 550, 895, 467, 812, 1369, 1412, 1751, 1501, 1688, 1807, 1679, 202, 1485, 654, 645, 1134, 1437, 1091, 607, 849, 239, 1750, 1639, 1702, 1061, 882, 1252, 769, 703, 434, 1444, 1171, 1802, 806, 821, 1326, 1161, 1627, 1501, 1436, 1492, 364, 1334, 1015, 549, 930, 969, 218, 1292, 949, 713, 1569, 1675, 1259, 1209, 637, 1518, 1678, 440, 230, 344, 50, 1450, 1, 493, 1797, 730, 1658, 576, 774, 1675, 1095, 1409, 1679, 1333, 1674, 1799, 1696, 1790, 1450, 1451, 1364, 1552, 495, 1583, 1774, 1317, 1075, 1022, 1088, 1443, 966, 581, 1829, 1226, 1331, 1801, 1040, 1786, 1720, 1400, 1428, 1303, 1565, 1639, 1030, 1232, 797, 170, 1736, 324, 1256, 1706, 1178, 1011, 1438, 117, 692, 1496, 1311, 1173, 569, 768, 1147, 1344, 1088, 603, 1256, 1429, 1199, 1188, 1432, 1321, 1174, 571, 76, 658, 1223, 1280, 1476, 464, 1177, 1817, 971, 1053, 933, 513, 1165, 386, 958, 1129, 254, 1719, 1716, 1309, 692, 1475, 1632, 1038, 1186, 1126, 1388, 1483, 1177, 880, 271, 1375, 1622, 1481, 1652, 717, 1316, 984, 1181, 1458, 832, 460, 1311, 474, 370, 1162, 1245, 1634, 861, 1481, 967, 229, 1276, 1213, 1455, 1677, 486, 1297, 1517, 1122, 1110, 1232, 1700, 1798, 1455, 1126, 1380, 42, 1420, 627, 1378, 1652, 601, 1424, 1481, 393, 1475, 1611, 1713, 1760, 485, 1363, 1313, 778, 1238, 685, 750, 1361, 1232, 1259, 910, 1206, 950, 408, 1399, 1380, 809, 1742, 406, 959, 1784, 946, 361, 1285, 730, 1751, 1083, 1714, 1293, 1236, 749, 731, 319, 1345, 1526, 715, 1068, 1436, 1451, 175, 18, 1370, 1238, 333, 1797, 1700, 1805, 1504, 1730, 1319, 1380, 820, 905, 1128, 301, 729, 570, 719, 1226, 1018, 1272, 475, 1075, 441, 291, 1761, 1276, 936, 885, 1227, 1123, 19, 1147, 326, 1146, 318, 972, 980, 1426, 1598, 849, 1640, 1439, 1631, 1415, 1494, 308, 425, 911, 806, 1375, 552, 701, 730, 1225, 552, 1519, 626, 782, 737, 791, 1251, 1764, 1677, 1386, 1277, 1211, 1003, 1707, 1783, 1806, 1253, 1726, 1720, 1247, 1253, 1245, 560, 82, 1166, 1042, 277, 1010, 1124, 1351, 1750, 1499, 1743, 1756, 870, 129, 1238, 884, 4, 1173, 1210, 966, 1281, 107, 1716, 973, 1308, 1833, 1696, 1741, 1586, 1436, 183, 1703, 1705, 1628, 1573, 556, 129, 788, 493, 1651, 1647, 926, 239, 1670, 176, 409, 117, 1363, 328, 1034, 1283, 767, 1701, 1429, 475, 1780, 467, 1245, 1189, 123, 1237, 1260, 737, 57, 1086, 1771, 1100, 547, 1588, 1658, 441, 1600, 1787, 440, 510, 634, 398, 1027, 1074, 863, 1422, 1177, 1310, 1820, 1041, 1588, 1720, 1241, 1761, 513, 165, 156, 244, 244, 167, 128011, 128001 ]
[ 128000, 128002, 2028, 9417, 315, 279, 10860, 18181, 374, 7263, 311, 499, 555, 6122, 35, 23290, 13, 1102, 596, 6122, 1489, 323, 6122, 35, 23290, 374, 1618, 311, 1520, 499, 10536, 1089, 2930, 13, 5256, 701, 3997, 3432, 449, 400, 606, 1486, 3116, 11888, 916, 13, 19545, 6122, 35, 23290, 916, 323, 3810, 27969, 2082, 12093, 33574, 7895, 323, 36498, 86703, 311, 636, 701, 662, 884, 369, 1120, 400, 606, 1486, 3116, 11888, 13, 4427, 9669, 3881, 13, 3580, 3997, 369, 3649, 13, 128003, 128005, 666, 624, 1437, 1646, 697, 155, 1221, 626, 243, 1833, 368, 415, 582, 1483, 1065, 531, 1726, 0, 552, 271, 956, 1203, 776, 175, 625, 651, 552, 1331, 1174, 1033, 286, 1561, 1522, 1679, 1167, 1169, 1259, 380, 1435, 1046, 170, 495, 1234, 1600, 477, 1074, 1368, 1092, 1802, 1377, 1102, 1237, 1180, 571, 1766, 458, 1037, 900, 1187, 1180, 983, 910, 303, 488, 525, 924, 375, 40, 1428, 94, 1701, 183, 636, 1528, 1513, 1456, 700, 1433, 163, 1435, 1518, 264, 1819, 513, 638, 1254, 984, 1722, 1325, 1093, 1199, 934, 489, 1200, 300, 868, 982, 1310, 925, 1157, 1754, 168, 1181, 1637, 1483, 1218, 1828, 1187, 1438, 206, 910, 1232, 208, 813, 1453, 1441, 1551, 1617, 906, 1570, 1489, 1350, 898, 1321, 230, 1299, 1453, 1536, 256, 1211, 666, 813, 494, 1005, 678, 754, 271, 690, 1333, 579, 921, 406, 1510, 1302, 1524, 1387, 930, 154, 1705, 1525, 1521, 617, 1503, 1158, 1621, 1527, 71, 922, 1174, 375, 236, 922, 1492, 7, 1113, 1274, 906, 258, 1640, 561, 334, 819, 858, 467, 80, 152, 229, 123, 1301, 511, 62, 1425, 1480, 1521, 1197, 411, 1351, 1323, 1630, 1690, 1341, 1192, 1099, 1667, 1490, 1728, 226, 1052, 1474, 130, 1759, 862, 1103, 1818, 646, 845, 666, 624, 1475, 862, 1162, 1666, 30, 997, 179, 1826, 1236, 91, 533, 273, 1287, 863, 1815, 1064, 885, 1137, 138, 864, 531, 1271, 137, 847, 873, 708, 1535, 226, 344, 1, 1225, 1621, 632, 674, 1173, 720, 1189, 186, 883, 282, 1100, 1018, 412, 486, 1460, 118, 1056, 1103, 104, 1505, 213, 1454, 1728, 1594, 144, 1712, 97, 58, 1300, 1156, 138, 29, 580, 516, 452, 613, 595, 149, 930, 1597, 900, 1475, 741, 157, 918, 179, 1105, 1328, 186, 1154, 309, 1279, 1502, 1269, 1092, 483, 1064, 673, 132, 584, 153, 1209, 911, 1308, 1762, 1549, 1557, 519, 176, 838, 1364, 1164, 1458, 1565, 1385, 203, 249, 1463, 376, 617, 912, 308, 881, 1399, 892, 831, 1463, 1399, 160, 1432, 1411, 1380, 1526, 775, 102, 403, 1141, 320, 1762, 442, 1634, 509, 1822, 1360, 594, 1539, 782, 598, 1768, 1668, 139, 1705, 578, 1391, 1524, 785, 982, 1502, 1448, 52, 934, 912, 556, 334, 1112, 857, 378, 1223, 1667, 1227, 1484, 474, 1489, 142, 1517, 83, 1110, 545, 535, 489, 1638, 1340, 540, 1641, 1561, 1717, 1046, 771, 847, 908, 532, 764, 728, 609, 1000, 1593, 1649, 810, 646, 1392, 91, 1505, 1208, 1357, 1186, 737, 1705, 1420, 1706, 1186, 1794, 1378, 1395, 1045, 1065, 1660, 1491, 1718, 542, 1213, 1244, 630, 1504, 1016, 1385, 1660, 906, 1664, 485, 333, 961, 1397, 106, 188, 1194, 245, 1241, 1111, 1718, 1813, 756, 1021, 284, 614, 483, 1321, 1046, 978, 1165, 364, 860, 477, 873, 441, 335, 261, 1822, 1568, 1334, 1376, 1577, 1111, 915, 565, 847, 1111, 308, 521, 1534, 1634, 44, 1556, 415, 519, 1481, 882, 1406, 1659, 883, 1095, 231, 991, 926, 409, 878, 430, 1047, 111, 1651, 1015, 111, 658, 1764, 568, 1510, 16, 1202, 1097, 1272, 145, 1810, 16, 1759, 1210, 549, 422, 353, 402, 511, 879, 324, 521, 326, 116, 629, 500, 289, 13, 1415, 661, 549, 720, 1779, 85, 1536, 1351, 851, 1421, 1585, 988, 613, 1368, 942, 951, 1698, 1207, 295, 1765, 1245, 124, 879, 1485, 1215, 1826, 700, 327, 1125, 441, 1268, 518, 499, 771, 357, 1198, 356, 1234, 1657, 1712, 97, 363, 1710, 873, 25, 1183, 574, 537, 1122, 238, 524, 1636, 954, 1430, 1163, 971, 1072, 1780, 1079, 924, 987, 1159, 427, 1466, 1303, 840, 574, 1271, 1489, 951, 1112, 961, 1821, 810, 795, 1051, 449, 1479, 1721, 1705, 1669, 692, 1756, 770, 589, 882, 1752, 1539, 71, 1423, 577, 755, 243, 807, 1467, 968, 223, 1154, 387, 373, 39, 1392, 563, 153, 267, 1067, 1161, 702, 1604, 1328, 1204, 170, 1309, 723, 186, 915, 146, 1803, 229, 315, 962, 966, 1358, 169, 15, 64, 1066, 1117, 1201, 827, 300, 797, 589, 1095, 1356, 176, 220, 1675, 1601, 1181, 1072, 1321, 1418, 1738, 593, 655, 1111, 883, 1261, 860, 720, 1045, 461, 37, 1461, 1537, 35, 1649, 816, 655, 794, 624, 860, 1118, 364, 1144, 371, 936, 1366, 144, 1382, 982, 522, 982, 375, 32, 1236, 1687, 401, 1683, 1479, 516, 852, 1301, 1058, 1017, 1097, 1027, 1372, 456, 327, 1294, 1685, 1346, 1022, 611, 698, 847, 1450, 1113, 653, 145, 1724, 169, 586, 1316, 470, 724, 1044, 1804, 577, 394, 449, 556, 777, 908, 648, 761, 1425, 786, 1453, 1525, 1037, 1062, 1465, 1685, 752, 807, 1383, 1596, 706, 1138, 1710, 197, 234, 894, 1021, 1217, 1685, 1283, 786, 1703, 749, 1383, 749, 839, 1169, 1468, 801, 1198, 1296, 862, 1625, 120, 111, 1141, 1483, 1087, 95, 629, 569, 1414, 168, 1636, 136, 1583, 1603, 712, 1199, 396, 657, 229, 1102, 388, 538, 324, 247, 277, 392, 697, 513, 865, 1352, 1449, 1407, 560, 580, 1193, 172, 655, 461, 1199, 466, 1432, 974, 507, 145, 1709, 316, 1218, 1057, 698, 1608, 180, 1829, 1017, 157, 1223, 813, 533, 258, 1751, 485, 1228, 546, 1765, 908, 1166, 843, 333, 91, 763, 1754, 458, 1760, 1328, 236, 922, 711, 186, 705, 626, 321, 55, 1141, 1747, 696, 1292, 301, 1106, 1197, 1289, 1746, 1314, 861, 997, 489, 1716, 446, 900, 142, 1198, 828, 1772, 60, 1715, 1572, 1425, 1510, 1578, 1829, 489, 1823, 1444, 582, 763, 1694, 1344, 149, 277, 1635, 1552, 652, 1302, 1654, 1580, 1642, 1568, 1147, 792, 564, 750, 35, 256, 1205, 832, 371, 942, 321, 1174, 394, 1253, 462, 80, 521, 864, 789, 367, 536, 36, 1022, 304, 1687, 1601, 601, 1128, 1033, 449, 1330, 369, 327, 639, 117, 647, 111, 1146, 778, 1000, 1464, 507, 970, 633, 1257, 1268, 941, 358, 1111, 720, 1110, 872, 1138, 133, 1193, 1385, 1406, 1724, 1572, 1181, 1632, 1032, 1699, 1525, 1456, 1327, 1570, 1795, 1587, 1571, 1679, 1778, 390, 1153, 212, 1106, 107, 464, 95, 684, 188, 931, 1286, 953, 754, 1417, 1054, 43, 1799, 322, 1634, 1609, 554, 1790, 806, 762, 87, 992, 731, 1147, 1581, 154, 1020, 166, 1366, 1211, 1649, 716, 1336, 1764, 559, 1773, 1591, 897, 1177, 1399, 1467, 1734, 566, 1118, 1033, 751, 1465, 1414, 1001, 422, 482, 58, 83, 1229, 588, 164, 922, 364, 579, 675, 687, 1002, 675, 319, 1691, 754, 1374, 1274, 1768, 1599, 1602, 362, 34, 1669, 1817, 1529, 865, 4, 1356, 1023, 714, 706, 237, 416, 302, 912, 52, 116, 1317, 88, 1379, 646, 1621, 505, 1648, 1717, 1085, 1546, 1633, 1095, 764, 580, 1139, 675, 775, 1795, 145, 1418, 1348, 751, 1589, 1114, 655, 587, 663, 1625, 786, 1236, 649, 1198, 634, 1219, 539, 1452, 1703, 1294, 1302, 928, 1766, 1641, 1414, 1075, 1060, 794, 1716, 1358, 1045, 1098, 1275, 1333, 792, 855, 1648, 1471, 965, 1789, 1684, 1600, 1529, 1769, 1660, 1578, 1790, 1644, 933, 1745, 785, 1277, 1623, 995, 1776, 1748, 241, 165, 219, 244, 128011, 128001 ]
[ 128000, 128002, 3947, 374, 264, 5623, 13419, 9214, 315, 1274, 304, 1057, 10977, 13, 1102, 649, 387, 8340, 304, 682, 11217, 13, 57175, 11, 42734, 11, 26153, 13, 578, 259, 6729, 478, 3392, 315, 433, 1436, 5622, 499, 13, 1102, 596, 264, 20278, 2663, 282, 95391, 13, 1472, 1253, 1781, 433, 2834, 956, 3621, 311, 499, 11, 719, 499, 527, 539, 279, 4788, 13, 4418, 956, 387, 2500, 3663, 315, 282, 95391, 13, 128003, 128005, 1362, 1273, 1600, 1827, 816, 452, 1554, 110, 483, 716, 587, 1069, 1081, 388, 1814, 599, 1320, 473, 213, 298, 1261, 876, 162, 886, 395, 725, 495, 633, 1797, 1718, 452, 45, 1310, 1278, 443, 1456, 1476, 102, 917, 1134, 573, 116, 1665, 271, 783, 1018, 876, 1600, 1071, 638, 1385, 1704, 452, 206, 1178, 1217, 1649, 1492, 297, 1225, 789, 861, 628, 1118, 321, 1215, 1497, 1521, 32, 1445, 1741, 1673, 1738, 1578, 1711, 1217, 474, 1438, 565, 1281, 179, 1144, 221, 1172, 475, 1770, 864, 1728, 183, 298, 749, 756, 1720, 113, 1535, 1698, 1691, 1679, 1679, 4, 1376, 1439, 755, 1499, 367, 1422, 1461, 1775, 995, 845, 891, 1631, 1280, 308, 767, 1624, 231, 1353, 911, 203, 549, 1142, 59, 672, 1669, 1718, 1415, 1193, 1069, 1398, 1636, 978, 856, 1544, 1742, 970, 1047, 1431, 1755, 1720, 1545, 858, 1787, 1404, 1148, 13, 570, 1620, 1220, 1417, 1206, 944, 1564, 1397, 227, 304, 1256, 430, 1492, 1476, 1669, 1456, 1630, 1303, 1112, 63, 1450, 1003, 787, 502, 1024, 1630, 175, 1828, 1528, 953, 315, 1437, 1270, 301, 935, 1383, 495, 1431, 1547, 1687, 1708, 34, 1721, 1680, 1039, 1716, 1057, 1283, 368, 62, 1364, 1329, 689, 1466, 1412, 1568, 1736, 691, 680, 86, 423, 1144, 900, 257, 1092, 1157, 692, 1285, 567, 169, 1025, 620, 923, 1025, 496, 1096, 805, 704, 1590, 1273, 1080, 1152, 509, 923, 1285, 584, 744, 17, 766, 1062, 257, 513, 936, 1338, 674, 899, 680, 832, 1080, 487, 727, 1713, 1362, 591, 1348, 673, 1248, 712, 624, 585, 516, 513, 712, 169, 591, 680, 486, 799, 603, 744, 986, 169, 555, 513, 845, 766, 676, 681, 16, 957, 1796, 345, 673, 710, 676, 1007, 1273, 651, 1092, 417, 717, 1142, 680, 681, 1273, 986, 727, 785, 169, 1248, 694, 1163, 1238, 1245, 155, 781, 75, 1825, 245, 595, 892, 556, 83, 1818, 1411, 564, 1039, 1219, 1701, 599, 1618, 1283, 1794, 22, 231, 836, 36, 1379, 1225, 1612, 1439, 870, 107, 1415, 605, 966, 1759, 1450, 913, 1009, 93, 1230, 868, 1343, 269, 1021, 757, 929, 210, 1199, 116, 1216, 721, 966, 1115, 297, 1179, 678, 1541, 1579, 1528, 1679, 218, 6, 931, 768, 891, 913, 587, 1447, 984, 959, 1005, 1823, 1666, 741, 1245, 1434, 1493, 1583, 761, 1385, 1040, 882, 1355, 62, 1002, 746, 18, 1710, 154, 1766, 1677, 1565, 1765, 1338, 585, 905, 447, 1121, 1289, 704, 121, 1294, 257, 939, 1380, 785, 651, 1725, 538, 936, 686, 548, 861, 680, 548, 712, 762, 751, 1717, 1319, 744, 1338, 676, 1114, 377, 406, 1425, 762, 1137, 696, 301, 905, 1262, 601, 805, 544, 832, 121, 555, 603, 824, 169, 727, 567, 548, 377, 694, 1121, 1536, 247, 516, 686, 627, 1248, 387, 548, 591, 567, 651, 1007, 513, 486, 1338, 548, 986, 301, 169, 1346, 566, 744, 585, 674, 681, 377, 387, 1824, 641, 986, 1553, 673, 727, 1007, 624, 1142, 785, 627, 923, 513, 674, 1007, 651, 735, 1338, 486, 824, 680, 674, 1408, 601, 513, 694, 676, 1233, 1569, 555, 1628, 465, 1010, 1655, 334, 861, 509, 1071, 795, 981, 681, 1288, 673, 727, 866, 548, 513, 1144, 917, 865, 102, 1355, 76, 1012, 614, 993, 632, 1034, 1141, 1709, 1342, 1608, 595, 176, 1500, 1342, 1637, 1677, 1238, 1664, 1649, 344, 1788, 1737, 465, 627, 933, 513, 923, 1246, 490, 585, 584, 751, 1657, 765, 681, 1338, 680, 1465, 824, 651, 1163, 247, 1038, 584, 301, 861, 1461, 673, 1023, 584, 693, 899, 378, 638, 878, 563, 1434, 1349, 939, 1245, 777, 383, 626, 375, 959, 560, 1219, 461, 1352, 474, 121, 809, 1809, 1058, 1809, 798, 1763, 798, 1655, 907, 1635, 892, 1707, 836, 1120, 1267, 1568, 1315, 1778, 1292, 1530, 1685, 1163, 761, 1293, 633, 891, 795, 681, 727, 627, 845, 247, 981, 486, 1514, 538, 1157, 387, 627, 1321, 487, 905, 704, 724, 1144, 712, 601, 957, 1706, 239, 1024, 1629, 1498, 1175, 252, 781, 521, 1381, 1300, 532, 1637, 809, 1593, 1776, 532, 1655, 1423, 1472, 1660, 1732, 1653, 1241, 22, 1074, 549, 1447, 1436, 1766, 1784, 1543, 1321, 676, 1255, 229, 625, 1144, 651, 1176, 717, 513, 1725, 717, 758, 676, 967, 1750, 674, 1096, 567, 266, 1763, 1273, 805, 1676, 378, 1007, 1142, 717, 1768, 1137, 986, 1121, 405, 766, 516, 751, 1650, 674, 1233, 1142, 717, 1782, 680, 516, 1672, 601, 681, 1348, 1137, 1419, 795, 1504, 1672, 601, 1784, 591, 601, 1750, 762, 717, 1628, 301, 1071, 1262, 378, 1725, 513, 523, 758, 378, 939, 1595, 378, 1719, 566, 651, 1768, 566, 1380, 1595, 630, 438, 799, 651, 1474, 624, 1114, 957, 378, 1023, 939, 627, 862, 378, 651, 1348, 378, 555, 584, 1137, 438, 601, 651, 387, 717, 1248, 1514, 971, 1474, 981, 1071, 862, 923, 744, 710, 693, 899, 751, 490, 1595, 891, 486, 795, 655, 986, 438, 971, 758, 986, 971, 899, 566, 1348, 1549, 1015, 1298, 393, 395, 1546, 487, 1719, 320, 218, 1253, 715, 1344, 1286, 1220, 892, 475, 1126, 1031, 13, 113, 1263, 689, 1797, 123, 1394, 701, 1468, 123, 1600, 1053, 621, 750, 1773, 648, 67, 368, 493, 154, 714, 927, 221, 1767, 521, 691, 1083, 1382, 875, 297, 772, 359, 1171, 1291, 179, 1429, 1252, 697, 1738, 1534, 57, 1434, 1275, 412, 1621, 1613, 1524, 1363, 1624, 1175, 1197, 883, 138, 512, 516, 86, 284, 568, 1429, 135, 26, 1280, 1351, 1034, 804, 1679, 401, 1553, 658, 979, 1403, 507, 1745, 1738, 321, 1292, 1058, 678, 1079, 994, 57, 1651, 930, 1384, 848, 533, 1537, 485, 1760, 1698, 1057, 1006, 1220, 1421, 1727, 1429, 712, 891, 387, 1033, 805, 377, 1025, 933, 676, 1144, 766, 555, 735, 387, 516, 585, 933, 845, 692, 680, 627, 1419, 624, 627, 766, 585, 1719, 1536, 954, 1007, 247, 939, 1244, 727, 121, 712, 301, 1380, 566, 681, 1244, 627, 1248, 824, 331, 1684, 762, 971, 712, 674, 1092, 509, 548, 585, 325, 1465, 1695, 54, 121, 686, 301, 805, 534, 900, 585, 630, 717, 899, 612, 32, 584, 971, 712, 680, 845, 1338, 624, 673, 555, 548, 121, 567, 923, 1362, 984, 121, 899, 744, 1614, 572, 845, 1338, 548, 744, 712, 693, 1157, 555, 936, 1242, 939, 744, 1273, 548, 585, 751, 936, 1461, 603, 1248, 1514, 121, 1721, 1080, 727, 1725, 555, 805, 387, 627, 1346, 1157, 548, 933, 981, 805, 933, 624, 861, 696, 627, 274, 563, 971, 1338, 486, 861, 257, 1142, 1751, 1580, 1543, 1680, 966, 1034, 969, 1543, 625, 0, 372, 631, 446, 1423, 1002, 774, 202, 409, 368, 556, 18, 822, 656, 1174, 112, 552, 657, 1125, 1203, 1723, 1769, 1751, 1411, 556, 870, 592, 409, 546, 870, 1265, 665, 158, 1035, 1344, 1663, 1485, 1728, 648, 276, 202, 1034, 1687, 1821, 1178, 1005, 1437, 1264, 352, 1483, 789, 678, 149, 1591, 1450, 1547, 782, 1549, 1646, 1217, 1375, 788, 1370, 1179, 1072, 475, 886, 1046, 51, 948, 1803, 1760, 1677, 1199, 679, 502, 1255, 1506, 940, 1256, 1455, 1281, 996, 1761, 1712, 1358, 1771, 1676, 1264, 1465, 1832, 1211, 301, 1010, 712, 936, 1233, 727, 32, 247, 601, 1010, 686, 899, 1791, 659, 555, 1348, 555, 121, 247, 555, 899, 899, 627, 1321, 534, 1023, 724, 717, 933, 712, 727, 1293, 1080, 1251, 712, 681, 591, 247, 936, 766, 766, 891, 1362, 1142, 1652, 986, 591, 1348, 624, 727, 584, 717, 121, 538, 486, 387, 717, 673, 766, 832, 762, 460, 845, 899, 538, 936, 899, 712, 1696, 1273, 744, 1478, 1123, 406, 1293, 86, 799, 751, 936, 758, 832, 603, 795, 655, 758, 824, 971, 1474, 651, 744, 121, 832, 585, 1142, 693, 1693, 933, 939, 1595, 406, 1684, 686, 936, 1725, 673, 1092, 659, 971, 1233, 1293, 936, 1655, 513, 651, 1010, 655, 1262, 1262, 936, 1474, 555, 1092, 1348, 563, 513, 325, 1079, 1695, 345, 735, 1348, 651, 1092, 704, 1713, 176, 554, 862, 1634, 1013, 1035, 664, 1540, 846, 425, 862, 1447, 536, 1677, 400, 93, 1270, 943, 321, 1027, 1175, 1619, 1691, 1538, 1668, 865, 1524, 844, 1141, 192, 276, 886, 631, 1324, 395, 1831, 1614, 1756, 596, 1400, 412, 155, 514, 1565, 1774, 1572, 1554, 1033, 225, 1448, 359, 1772, 1187, 182, 1043, 1520, 1332, 1740, 1662, 800, 1438, 1420, 1180, 565, 1316, 221, 958, 1109, 697, 933, 476, 1632, 1735, 955, 1161, 586, 1081, 577, 1749, 1239, 368, 183, 372, 70, 1500, 493, 1059, 1015, 176, 1568, 1138, 502, 778, 1640, 1487, 1500, 1674, 1731, 1739, 1794, 1611, 1255, 1517, 950, 981, 516, 423, 516, 1553, 740, 761, 766, 513, 735, 620, 681, 899, 1262, 633, 957, 555, 555, 465, 845, 585, 712, 727, 274, 1080, 1023, 1474, 1118, 1601, 584, 971, 766, 673, 591, 1010, 406, 1007, 680, 171, 950, 1736, 1330, 658, 1478, 508, 812, 1694, 1544, 183, 1215, 197, 276, 1380, 123, 964, 225, 1788, 974, 143, 693, 876, 642, 971, 1015, 452, 1752, 638, 903, 1366, 1713, 1381, 412, 800, 1167, 179, 547, 1391, 994, 271, 1320, 1467, 1456, 967, 523, 649, 1641, 1217, 1175, 693, 1240, 940, 1027, 707, 843, 870, 1242, 457, 1397, 298, 656, 276, 863, 400, 356, 639, 1098, 816, 1125, 1095, 521, 522, 1765, 1465, 325, 1721, 454, 344, 794, 70, 878, 335, 1104, 1297, 1263, 1411, 1822, 1545, 1250, 1464, 1811, 1430, 1493, 1120, 799, 735, 423, 717, 585, 691, 1092, 1151, 486, 566, 387, 406, 710, 121, 406, 387, 651, 486, 704, 744, 121, 710, 490, 704, 680, 936, 544, 651, 591, 274, 845, 680, 676, 936, 704, 627, 727, 1338, 845, 585, 799, 905, 686, 1080, 923, 417, 735, 1142, 544, 516, 436, 1602, 1387, 1578, 1491, 1262, 975, 1406, 630, 630, 1071, 694, 1570, 1624, 452, 352, 1344, 1500, 466, 657, 1791, 1399, 614, 1653, 1395, 1581, 1744, 923, 406, 1145, 1791, 512, 125, 1535, 1061, 1081, 1283, 1087, 802, 934, 849, 1490, 416, 272, 1221, 1065, 107, 1054, 829, 565, 1067, 1396, 183, 521, 1393, 721, 65, 1589, 970, 901, 749, 1691, 1241, 1535, 1287, 154, 1107, 1282, 422, 707, 787, 315, 661, 1330, 384, 28, 1742, 556, 315, 1241, 276, 546, 599, 10, 979, 996, 1261, 1424, 628, 642, 1611, 1762, 1450, 713, 1744, 822, 554, 1588, 1423, 1204, 83, 254, 1201, 705, 206, 1277, 1231, 865, 1776, 1772, 1057, 1229, 1450, 1486, 890, 1426, 1280, 1005, 1776, 1732, 1498, 1757, 1708, 1716, 1584, 1823, 1774, 1773, 1671, 1799, 1832, 1704, 805, 128011, 128001 ]
[ 128000, 128002, 24762, 810, 922, 279, 25114, 37064, 315, 435, 95391, 520, 52326, 2173, 37, 95391, 5181, 128003, 128005, 274, 751, 964, 42, 1636, 1594, 183, 374, 1313, 221, 1493, 1139, 102, 1746, 979, 83, 1473, 999, 1229, 98, 1724, 1097, 197, 1546, 95, 1706, 1325, 626, 1753, 718, 1774, 545, 1690, 1083, 65, 1433, 446, 1314, 240, 1643, 1801, 879, 173, 370, 1193, 695, 637, 1699, 1514, 634, 1485, 1611, 152, 1170, 843, 1535, 1390, 325, 546, 579, 1264, 422, 857, 248, 886, 1189, 376, 1037, 1335, 1521, 41, 759, 1369, 276, 1506, 592, 1128, 1598, 677, 1535, 794, 1088, 550, 230, 1199, 376, 454, 42, 376, 701, 85, 15, 372, 1434, 1015, 388, 1638, 1109, 384, 736, 1616, 124, 1217, 996, 1051, 303, 931, 1797, 1782, 749, 368, 1649, 556, 1687, 1535, 4, 1781, 1303, 610, 1216, 965, 100, 1075, 1247, 1195, 1584, 1250, 438, 1373, 0, 1326, 1678, 1517, 1326, 658, 1661, 1662, 1483, 1598, 1353, 1484, 1312, 1774, 984, 1445, 1320, 361, 860, 535, 1517, 1494, 1379, 572, 1331, 1546, 1745, 1730, 1383, 1711, 1337, 1196, 599, 116, 619, 813, 911, 1083, 546, 1691, 1394, 69, 230, 556, 18, 1310, 973, 28, 983, 1238, 1296, 1470, 362, 973, 1434, 626, 412, 1185, 679, 636, 344, 1711, 231, 1717, 1535, 1451, 1611, 441, 1208, 192, 104, 1188, 1389, 631, 1826, 1755, 1611, 1499, 428, 1772, 1698, 1203, 1124, 1368, 1324, 1138, 1353, 1183, 1455, 1819, 1509, 1628, 724, 1346, 1679, 1351, 402, 880, 926, 1415, 1517, 1499, 339, 1318, 1136, 1101, 681, 1491, 1043, 523, 578, 1172, 1417, 1104, 1663, 1729, 1238, 1811, 1041, 1466, 1127, 1053, 1484, 756, 1029, 1768, 1825, 957, 272, 918, 1106, 1763, 762, 165, 219, 244, 128011, 128001 ]
[ 128000, 128002, 40, 1071, 387, 14931, 922, 17530, 1729, 11, 499, 1120, 7111, 279, 5041, 1139, 701, 56520, 13, 921, 2689, 2665, 78, 13, 128003, 128005, 1510, 1273, 1316, 1148, 1005, 922, 1517, 863, 1703, 1571, 1354, 1602, 495, 1199, 1202, 549, 828, 516, 584, 1770, 987, 1658, 665, 879, 1143, 380, 878, 1280, 1518, 335, 1383, 507, 1400, 1250, 985, 149, 1204, 106, 872, 934, 446, 1256, 880, 956, 1110, 210, 886, 1147, 1207, 135, 83, 944, 1287, 259, 1289, 1211, 1488, 988, 25, 609, 271, 756, 1194, 441, 847, 956, 43, 755, 988, 1681, 1185, 1035, 1364, 22, 218, 231, 1342, 290, 1329, 1192, 1191, 947, 74, 613, 1005, 1798, 186, 443, 841, 502, 905, 495, 1814, 893, 665, 682, 57, 648, 1517, 1110, 1036, 483, 1252, 528, 467, 1314, 1349, 1419, 1662, 117, 218, 1554, 88, 138, 57, 1234, 372, 546, 154, 592, 1660, 440, 870, 1631, 700, 1115, 987, 1482, 152, 560, 874, 723, 138, 1180, 1292, 1144, 1785, 820, 799, 1668, 691, 995, 416, 632, 1197, 1126, 173, 1711, 1615, 1052, 1590, 1640, 1502, 321, 1190, 386, 51, 95, 1136, 1190, 892, 228, 1174, 1424, 228, 441, 1193, 113, 113, 1186, 1119, 768, 179, 303, 376, 1193, 966, 1630, 229, 1128, 1121, 1333, 1638, 1221, 107, 155, 1298, 290, 212, 1113, 1707, 1806, 730, 1686, 438, 1590, 920, 1409, 847, 979, 919, 228, 192, 1216, 296, 102, 518, 882, 940, 1000, 752, 1171, 1109, 1504, 1132, 1478, 182, 628, 88, 1734, 84, 1437, 550, 1766, 228, 1325, 212, 1098, 106, 408, 1180, 254, 511, 466, 1178, 1328, 438, 1589, 1248, 1793, 1652, 1360, 1822, 758, 1079, 1699, 1479, 1809, 426, 1704, 1805, 1536, 1118, 1623, 1601, 1478, 1016, 1037, 1525, 1479, 805, 1652, 1176, 1478, 1763, 1011, 1079, 1510, 957, 1749, 1536, 891, 1176, 1390, 1658, 1627, 995, 1814, 608, 1385, 1631, 1639, 1213, 1459, 1025, 1041, 1654, 1435, 376, 941, 874, 863, 1086, 1073, 1333, 1424, 1423, 1745, 1137, 659, 1030, 1541, 316, 1189, 1409, 1092, 526, 1827, 1657, 1653, 889, 1616, 848, 980, 1042, 1314, 1317, 43, 1766, 1111, 1204, 100, 1345, 1119, 1429, 146, 295, 1209, 1194, 157, 1221, 552, 1245, 1045, 1275, 1137, 1002, 479, 832, 1311, 1235, 716, 1109, 481, 1331, 1450, 1645, 410, 167, 165, 244, 244, 128011, 128001 ]
[ 128000, 128002, 644, 264, 5030, 315, 892, 11, 279, 9269, 315, 279, 1403, 3026, 11684, 449, 701, 4538, 596, 4648, 690, 387, 20536, 13, 128003, 128005, 1585, 1619, 1418, 928, 1780, 1255, 950, 1071, 838, 1793, 1437, 271, 144, 1533, 787, 1182, 752, 293, 969, 342, 657, 535, 621, 658, 252, 947, 212, 1492, 254, 737, 430, 877, 146, 312, 946, 146, 1339, 532, 714, 1757, 1651, 1426, 406, 1658, 1462, 254, 658, 1795, 1422, 9, 1197, 115, 1401, 25, 1391, 84, 1153, 102, 81, 1096, 367, 146, 927, 1315, 909, 714, 1649, 385, 1240, 1394, 1740, 1423, 1261, 1520, 1707, 1114, 1210, 172, 931, 299, 858, 495, 1306, 972, 1122, 115, 1762, 252, 115, 1806, 621, 212, 1351, 1323, 212, 755, 732, 514, 700, 1015, 920, 798, 607, 774, 1829, 1590, 1634, 1537, 1812, 1700, 361, 1382, 1247, 1607, 1646, 1273, 1716, 349, 1241, 452, 596, 1751, 1153, 1301, 587, 1454, 564, 1027, 653, 1813, 174, 945, 1636, 737, 19, 994, 254, 104, 1263, 1073, 1462, 90, 1596, 1642, 662, 1815, 1764, 1534, 822, 0, 393, 245, 1180, 347, 1532, 1504, 1220, 491, 271, 355, 248, 76, 1075, 921, 897, 104, 395, 1089, 1366, 120, 890, 117, 1757, 780, 1278, 940, 750, 1780, 1226, 1031, 1301, 1343, 1279, 1456, 1113, 1083, 1445, 1791, 1346, 767, 1422, 1448, 1082, 1052, 1325, 719, 807, 789, 700, 1339, 1364, 979, 1376, 46, 1088, 315, 430, 493, 493, 1333, 1328, 159, 521, 1324, 1000, 1281, 430, 1630, 593, 1755, 1782, 1692, 362, 1755, 1539, 656, 1450, 333, 1731, 1408, 1421, 733, 865, 69, 1410, 412, 1407, 657, 1221, 626, 687, 375, 1055, 1136, 847, 1015, 1786, 1831, 1764, 999, 1423, 1714, 1072, 963, 1305, 1079, 1248, 1417, 1492, 818, 688, 1786, 1764, 1719, 1695, 734, 1230, 1369, 1407, 640, 1323, 1718, 1786, 1710, 863, 1703, 1767, 793, 1118, 1825, 1568, 1124, 1230, 853, 1607, 1225, 1506, 1703, 1706, 438, 1701, 1795, 1724, 929, 1181, 888, 863, 254, 277, 1488, 125, 1796, 1081, 47, 1718, 91, 719, 1289, 1315, 979, 1058, 127, 1735, 568, 1687, 1505, 1423, 878, 1373, 1639, 1667, 1658, 1760, 1748, 1818, 204, 165, 244, 244, 244, 167, 128011, 128001 ]
[ 128000, 128002, 6107, 1457, 11, 1120, 3794, 701, 2010, 1314, 11, 499, 1440, 11, 3794, 10968, 369, 279, 4465, 11, 3339, 2771, 430, 11, 499, 1440, 11, 279, 2574, 584, 1390, 311, 2571, 704, 1070, 527, 389, 1486, 13, 4702, 15061, 264, 28566, 323, 3339, 2771, 430, 4785, 596, 1523, 369, 17988, 22610, 13, 2030, 11, 44844, 11, 358, 3152, 279, 18459, 596, 2884, 13, 128003, 128005, 1722, 1610, 1120, 1811, 557, 695, 211, 395, 461, 497, 604, 1177, 797, 263, 1823, 483, 1753, 742, 1068, 1139, 1098, 162, 215, 757, 410, 522, 81, 252, 297, 1182, 1173, 186, 309, 74, 215, 525, 341, 1180, 1122, 841, 1105, 9, 648, 1221, 1445, 335, 1018, 966, 117, 388, 415, 137, 1732, 1436, 1306, 1820, 788, 407, 225, 398, 276, 621, 1451, 1549, 1444, 1760, 1351, 564, 1215, 1347, 1178, 1458, 142, 1639, 1326, 1476, 1738, 113, 793, 210, 989, 260, 773, 88, 1164, 1374, 702, 1410, 1013, 933, 972, 1766, 720, 609, 898, 446, 1062, 173, 1099, 82, 1495, 210, 1009, 142, 1827, 232, 737, 239, 1766, 1593, 1129, 862, 1317, 1282, 1114, 1196, 1432, 1765, 1220, 1546, 1823, 719, 1664, 1517, 878, 950, 1823, 1287, 789, 1586, 931, 1778, 364, 436, 55, 333, 475, 393, 1081, 210, 121, 260, 1261, 629, 1661, 1472, 1698, 1694, 1563, 69, 621, 10, 380, 116, 176, 1664, 1048, 1506, 1035, 1335, 1831, 882, 1521, 282, 714, 848, 218, 599, 1226, 916, 1097, 413, 1659, 215, 877, 756, 1081, 1825, 1725, 1826, 985, 782, 1498, 858, 657, 1756, 407, 1441, 181, 658, 1178, 282, 1364, 1364, 1324, 1333, 106, 389, 18, 621, 1641, 614, 847, 737, 759, 1761, 1660, 579, 1470, 1002, 714, 1422, 230, 1468, 1200, 210, 588, 764, 411, 874, 855, 299, 545, 318, 424, 788, 218, 757, 1638, 1766, 1506, 1282, 1534, 1823, 1417, 1, 73, 943, 648, 1534, 719, 1719, 1005, 1241, 1752, 1402, 1731, 1332, 1800, 132, 290, 790, 190, 434, 874, 232, 1074, 1088, 1370, 1189, 393, 472, 1450, 113, 1490, 218, 557, 927, 443, 1483, 218, 429, 822, 550, 1787, 790, 1176, 1804, 493, 260, 1018, 569, 400, 777, 595, 1100, 1212, 1777, 1629, 1259, 1373, 1455, 1282, 1373, 1178, 1710, 1292, 886, 1823, 1393, 1002, 1820, 1053, 1403, 1448, 570, 1790, 1355, 927, 1738, 979, 1364, 1462, 715, 1306, 1489, 1349, 1749, 1631, 1756, 870, 88, 749, 132, 314, 587, 1534, 206, 472, 372, 105, 1524, 367, 1702, 39, 1663, 25, 1819, 364, 362, 1521, 687, 577, 1766, 1287, 1403, 610, 886, 206, 88, 1374, 543, 466, 1712, 1018, 297, 1708, 1018, 834, 1709, 276, 319, 596, 1325, 1631, 55, 1711, 479, 503, 1773, 57, 662, 920, 105, 1680, 402, 425, 1310, 341, 1511, 88, 1389, 179, 1706, 1240, 519, 1718, 1287, 399, 797, 1147, 186, 222, 1663, 609, 472, 1772, 721, 1802, 456, 1830, 267, 1801, 210, 1680, 142, 1697, 142, 926, 393, 354, 1278, 664, 1545, 1331, 486, 1106, 1404, 1476, 1286, 870, 106, 1663, 263, 574, 305, 456, 1314, 107, 1052, 461, 482, 944, 280, 1647, 456, 1358, 456, 1298, 462, 1429, 475, 1736, 524, 1413, 695, 1677, 1593, 1318, 1830, 1801, 665, 639, 1793, 1823, 1731, 1078, 373, 1605, 759, 456, 1624, 105, 1758, 88, 1831, 236, 1369, 232, 940, 197, 1700, 1789, 1794, 1320, 1071, 1347, 1028, 1506, 1252, 1292, 1408, 971, 284, 1137, 964, 1390, 1289, 724, 516, 516, 1639, 1595, 1793, 1536, 516, 1255, 1474, 1321, 1652, 1262, 1033, 1722, 1719, 1730, 1602, 1751, 1546, 1654, 1730, 1627, 1807, 1470, 67, 192, 269, 596, 479, 15, 49, 844, 510, 1532, 1785, 1600, 1781, 1347, 1173, 270, 222, 1150, 512, 1278, 380, 439, 1717, 1436, 1023, 1797, 1754, 1308, 225, 1410, 581, 248, 1794, 320, 348, 69, 162, 1320, 1053, 1459, 1535, 1078, 477, 1135, 1204, 79, 51, 222, 1258, 347, 1089, 969, 653, 1681, 1300, 877, 1658, 1166, 102, 425, 382, 178, 1243, 1790, 1821, 1665, 592, 887, 1743, 886, 1416, 46, 330, 346, 100, 604, 349, 889, 1443, 1229, 104, 39, 629, 1364, 400, 1341, 1617, 1056, 580, 292, 210, 1697, 522, 492, 1484, 1761, 798, 1811, 1600, 1014, 1766, 613, 1412, 550, 1786, 45, 225, 1651, 990, 1369, 1808, 1363, 1436, 46, 315, 1247, 546, 1322, 1228, 1278, 1264, 140, 613, 296, 408, 1492, 309, 302, 715, 524, 518, 1245, 874, 105, 1656, 1766, 1508, 1320, 1546, 1329, 927, 368, 610, 1189, 1280, 831, 1794, 496, 1047, 1786, 373, 1622, 346, 472, 1436, 253, 93, 1263, 62, 631, 705, 546, 202, 1069, 399, 697, 1732, 335, 809, 1238, 254, 789, 178, 270, 798, 1342, 375, 36, 644, 1395, 1833, 1423, 1296, 1452, 848, 46, 656, 202, 452, 1088, 67, 1331, 1214, 1532, 1475, 788, 22, 1738, 1364, 1814, 1028, 1450, 1517, 1313, 1700, 1556, 886, 1826, 1282, 1400, 1820, 872, 1439, 1432, 985, 1786, 1098, 901, 495, 1029, 1382, 495, 1031, 1815, 1067, 1230, 1373, 1099, 1724, 1777, 1351, 1141, 1022, 1340, 376, 1047, 822, 159, 389, 400, 88, 1449, 206, 413, 962, 569, 1785, 81, 770, 206, 373, 1436, 210, 1506, 81, 635, 346, 613, 637, 492, 579, 411, 790, 721, 794, 757, 461, 926, 364, 1252, 1241, 492, 1462, 1500, 1674, 1468, 1710, 642, 518, 463, 260, 1782, 940, 506, 1351, 232, 146, 395, 640, 1712, 1787, 300, 644, 1820, 1730, 1509, 1429, 1568, 1646, 700, 354, 173, 430, 797, 579, 456, 1427, 1637, 1152, 1220, 1642, 1831, 897, 441, 1820, 991, 330, 1485, 192, 774, 716, 232, 822, 452, 162, 1278, 335, 1241, 1356, 1088, 297, 1524, 1596, 502, 1342, 1633, 870, 1646, 1500, 1766, 371, 462, 1238, 208, 456, 1647, 1247, 321, 225, 985, 93, 1819, 547, 1777, 363, 1073, 1511, 1706, 1040, 1827, 1774, 1395, 1757, 1459, 719, 1819, 1036, 1447, 1325, 1164, 156, 165, 244, 244, 128011, 128001 ]
[ 128000, 128002, 16397, 3190, 11, 499, 3169, 315, 1464, 701, 2547, 1523, 13, 1115, 374, 3169, 315, 2046, 1405, 499, 636, 311, 2800, 264, 2697, 2766, 11, 27661, 709, 11, 323, 1120, 1304, 2771, 4395, 596, 3318, 1314, 13, 1226, 4024, 1555, 279, 2653, 990, 2391, 3190, 323, 499, 2351, 539, 2133, 311, 636, 904, 2731, 1457, 13, 1472, 2351, 539, 2133, 311, 636, 904, 10819, 13, 1472, 2351, 539, 2133, 311, 636, 904, 16643, 13, 2100, 433, 596, 1120, 430, 10723, 1847, 505, 1618, 389, 704, 13, 2100, 11, 44844, 11, 358, 2846, 8430, 1695, 11, 893, 13, 3092, 4059, 596, 1314, 323, 358, 2846, 5644, 311, 733, 704, 1070, 323, 3243, 420, 3245, 13, 128003, 128005, 1699, 710, 546, 366, 836, 212, 192, 268, 521, 341, 341, 321, 225, 410, 1104, 452, 422, 738, 1175, 1353, 385, 1041, 824, 1682, 452, 1329, 1342, 1583, 1447, 291, 639, 305, 221, 949, 305, 446, 828, 558, 497, 1501, 358, 210, 1389, 947, 530, 1651, 1496, 1815, 570, 1736, 1393, 1315, 400, 1396, 335, 1388, 308, 1048, 308, 716, 796, 98, 711, 1609, 1620, 1036, 1319, 1378, 1057, 729, 1351, 1700, 1832, 1002, 1808, 1355, 886, 1830, 1053, 1422, 1822, 1036, 1505, 869, 902, 984, 1730, 1702, 1720, 162, 181, 632, 579, 498, 402, 575, 1506, 773, 248, 690, 1040, 815, 1500, 1769, 1409, 1187, 452, 222, 721, 340, 277, 536, 1082, 1830, 1590, 901, 22, 1241, 1272, 1187, 471, 109, 1722, 1740, 1665, 394, 1105, 159, 877, 573, 291, 715, 115, 1506, 596, 611, 1175, 903, 1708, 522, 653, 1098, 970, 1455, 976, 1353, 887, 290, 210, 1351, 206, 757, 715, 371, 757, 715, 271, 972, 1029, 53, 1381, 570, 910, 1722, 944, 779, 1412, 725, 1485, 556, 181, 292, 181, 407, 596, 276, 1351, 1459, 1447, 1487, 640, 1426, 1306, 1146, 1735, 985, 67, 1410, 1147, 1220, 164, 429, 1053, 446, 1388, 117, 326, 1171, 569, 1792, 1141, 704, 1295, 1214, 789, 1381, 253, 856, 1382, 556, 1581, 1261, 1570, 1754, 1410, 1145, 720, 1475, 525, 1315, 412, 932, 232, 1336, 543, 1581, 202, 1368, 452, 1759, 142, 888, 1463, 1088, 758, 1486, 1400, 1763, 1160, 1166, 1822, 715, 1524, 1303, 382, 1713, 1259, 788, 1784, 1282, 1405, 1076, 1099, 1142, 1268, 1228, 1525, 1404, 1585, 1096, 1028, 1293, 42, 1639, 805, 1108, 666, 971, 1495, 1628, 1144, 1632, 957, 1788, 1748, 1656, 903, 639, 1353, 648, 175, 48, 1804, 760, 903, 1267, 597, 920, 269, 357, 711, 969, 701, 1692, 1019, 1074, 1447, 721, 1489, 1402, 1613, 614, 1138, 206, 84, 721, 318, 309, 525, 1808, 1166, 1300, 67, 52, 1002, 714, 1677, 1160, 1344, 1742, 725, 491, 134, 1310, 491, 1339, 1261, 738, 1694, 1727, 1642, 83, 1281, 263, 170, 525, 1018, 596, 809, 861, 1146, 1369, 1758, 400, 1596, 1337, 1300, 1774, 943, 1034, 1282, 1002, 1372, 137, 500, 618, 716, 1410, 658, 553, 1507, 560, 557, 1728, 525, 1469, 179, 583, 759, 525, 1791, 309, 525, 1761, 186, 267, 1501, 1320, 1453, 1648, 1391, 1185, 1324, 1830, 1680, 1431, 1247, 1048, 1786, 1688, 648, 357, 864, 1686, 656, 123, 183, 218, 546, 858, 1225, 1099, 511, 1429, 517, 88, 1081, 645, 1662, 1485, 556, 1332, 162, 335, 1088, 782, 238, 1117, 282, 429, 1701, 1280, 5, 711, 904, 318, 1757, 1583, 1718, 1611, 179, 1501, 599, 959, 1439, 1365, 1332, 1810, 890, 886, 1338, 1799, 1487, 22, 518, 1272, 462, 1509, 113, 506, 595, 1388, 1754, 1720, 1821, 656, 1241, 547, 757, 870, 134, 1022, 1491, 614, 1822, 475, 827, 429, 1101, 525, 1739, 393, 1499, 366, 897, 296, 580, 1677, 1412, 1048, 1256, 1669, 1200, 1170, 1419, 1745, 1343, 939, 1108, 1106, 470, 1556, 974, 1770, 626, 875, 844, 211, 1545, 1337, 503, 1593, 639, 83, 280, 1647, 796, 123, 615, 1436, 381, 1478, 495, 989, 357, 518, 1720, 863, 455, 1702, 890, 803, 1002, 106, 354, 1325, 809, 1804, 639, 1734, 1403, 1253, 294, 1045, 1183, 806, 93, 413, 1265, 1247, 95, 611, 1770, 519, 779, 1770, 1423, 1352, 1431, 1408, 1221, 574, 1829, 221, 482, 1256, 205, 617, 1682, 1002, 653, 1668, 1438, 733, 1404, 1535, 1382, 346, 588, 1752, 1161, 657, 1330, 471, 110, 1463, 581, 326, 1772, 1804, 1581, 1823, 1763, 537, 162, 1410, 1376, 546, 589, 1237, 605, 164, 105, 746, 522, 475, 1278, 383, 79, 422, 525, 1253, 1094, 1545, 1742, 1519, 1489, 1241, 1247, 1229, 1241, 1280, 756, 692, 197, 1053, 1239, 1820, 1410, 1668, 979, 1002, 1355, 656, 1766, 1040, 595, 1404, 715, 1160, 1434, 656, 1766, 1226, 1082, 1475, 1496, 1495, 1144, 1379, 1737, 22, 152, 1069, 290, 200, 716, 1139, 277, 106, 105, 604, 872, 1015, 1374, 302, 635, 1395, 1170, 996, 480, 1654, 362, 657, 1, 1002, 363, 415, 1030, 962, 263, 475, 1715, 62, 324, 411, 849, 471, 326, 1535, 543, 158, 1027, 556, 134, 1734, 1266, 1761, 613, 1342, 162, 267, 1680, 463, 569, 1464, 440, 105, 977, 434, 969, 932, 1009, 716, 1388, 499, 475, 1178, 393, 959, 299, 580, 604, 569, 1758, 393, 616, 1258, 1040, 1723, 1097, 1744, 1488, 1041, 1785, 1438, 1282, 1373, 929, 1216, 1032, 1116, 1260, 967, 1054, 900, 1054, 1714, 1294, 19, 1479, 1478, 1116, 1262, 1448, 1306, 5, 924, 1479, 1163, 1665, 957, 869, 1120, 1294, 459, 1168, 17, 1379, 1614, 1185, 1430, 1233, 1754, 1724, 1233, 1817, 1543, 1680, 1698, 218, 462, 22, 206, 462, 1245, 596, 550, 574, 1496, 901, 413, 992, 999, 1773, 557, 1427, 919, 454, 158, 1662, 308, 206, 352, 1620, 842, 1678, 629, 831, 999, 1803, 67, 725, 688, 554, 1363, 1588, 510, 1681, 788, 1422, 1207, 958, 573, 252, 1068, 808, 571, 818, 872, 874, 910, 1500, 1278, 1729, 162, 1241, 384, 330, 1714, 1139, 1100, 1447, 581, 616, 1513, 521, 1258, 172, 910, 499, 518, 1817, 714, 354, 1186, 1074, 1661, 1335, 779, 911, 769, 621, 1673, 166, 208, 252, 239, 454, 890, 214, 1449, 1364, 372, 550, 1341, 796, 319, 197, 357, 870, 537, 245, 1235, 135, 218, 944, 822, 1688, 1056, 260, 291, 1089, 1424, 113, 267, 1427, 791, 557, 1447, 569, 1764, 521, 1703, 1584, 997, 1634, 492, 886, 1472, 446, 740, 408, 1411, 1267, 1282, 1700, 1593, 1256, 758, 1424, 1230, 1598, 1429, 1621, 1541, 1432, 1754, 1489, 1057, 1832, 1355, 546, 1809, 1034, 1476, 1495, 979, 1707, 1355, 1175, 1704, 1059, 995, 1144, 1120, 1233, 1714, 1337, 0, 162, 162, 218, 135, 656, 714, 321, 770, 1447, 614, 593, 1161, 491, 1802, 236, 807, 782, 1775, 1238, 218, 599, 181, 430, 178, 357, 1671, 239, 146, 429, 788, 364, 1723, 198, 189, 50, 157, 991, 1053, 569, 1484, 206, 910, 1751, 368, 917, 1782, 1027, 557, 1431, 135, 215, 1449, 1439, 1591, 22, 380, 1241, 117, 1351, 806, 1506, 931, 98, 1772, 1025, 1422, 1546, 868, 398, 152, 639, 157, 1817, 115, 842, 474, 782, 1423, 142, 1528, 205, 1337, 1761, 113, 793, 1416, 1147, 1319, 1069, 1178, 1689, 1686, 1646, 1646, 658, 407, 1711, 1226, 456, 1784, 864, 1377, 158, 1238, 473, 587, 911, 321, 767, 142, 1805, 115, 1667, 475, 1033, 411, 1223, 757, 951, 1084, 221, 1675, 876, 524, 1461, 93, 927, 806, 271, 1793, 215, 1125, 1506, 142, 1197, 733, 1206, 1466, 1006, 1216, 1268, 1131, 1090, 1414, 1211, 1500, 1713, 1171, 1679, 1421, 1117, 1669, 1333, 1164, 1474, 1195, 1730, 805, 1316, 1479, 1065, 1367, 1763, 42, 1230, 121, 19, 1701, 1418, 1212, 1713, 1632, 1212, 1669, 1282, 1638, 1749, 1259, 1634, 1458, 1355, 1747, 1458, 1681, 1721, 1225, 416, 1370, 49, 181, 245, 181, 69, 543, 50, 1370, 589, 883, 375, 291, 725, 657, 664, 1629, 106, 438, 248, 1661, 621, 1326, 1590, 102, 1023, 73, 1423, 1326, 550, 1289, 1218, 664, 1803, 828, 1206, 1289, 628, 1399, 1453, 816, 1690, 1750, 1197, 1770, 1504, 1314, 1478, 1504, 1367, 861, 1309, 1632, 1408, 1316, 1185, 805, 1205, 1346, 1079, 1305, 1474, 1309, 1829, 1812, 497, 1770, 576, 1730, 815, 1826, 1729, 1661, 330, 863, 231, 422, 557, 335, 102, 1723, 614, 1593, 88, 1768, 83, 1748, 789, 1677, 1472, 1022, 1163, 1729, 218, 202, 614, 4, 87, 1741, 228, 1791, 228, 1733, 380, 1312, 637, 1269, 1263, 1601, 1237, 12, 386, 247, 221, 1050, 93, 1018, 973, 931, 1742, 402, 1686, 81, 1833, 271, 1764, 547, 1239, 806, 933, 48, 1448, 1612, 1015, 1424, 1417, 179, 1089, 59, 917, 1318, 136, 269, 1258, 1025, 569, 1358, 203, 173, 1828, 210, 1088, 569, 570, 825, 571, 27, 361, 1741, 319, 213, 162, 1156, 239, 1058, 966, 893, 115, 893, 179, 1060, 370, 1541, 173, 1694, 210, 1021, 370, 1509, 769, 1013, 1420, 1797, 1440, 1264, 1730, 1311, 1117, 1227, 1032, 1116, 1373, 1223, 1303, 449, 1316, 1223, 449, 1054, 978, 460, 1117, 905, 1130, 1282, 1010, 1074, 1096, 459, 1125, 1142, 1153, 1817, 676, 1153, 957, 1448, 1665, 1273, 1448, 820, 1478, 1458, 377, 1277, 938, 1536, 1790, 319, 53, 874, 1662, 215, 1320, 1488, 115, 1466, 1575, 621, 1783, 134, 660, 1782, 210, 713, 657, 499, 134, 864, 1512, 705, 308, 395, 1382, 1619, 1655, 1400, 1487, 1046, 369, 1403, 518, 1251, 386, 1301, 88, 1466, 95, 560, 1821, 1782, 1511, 1543, 640, 549, 708, 1061, 424, 6, 721, 549, 1081, 142, 476, 93, 1764, 1396, 809, 591, 657, 1320, 1058, 886, 1472, 1470, 748, 1238, 310, 1451, 777, 1053, 1488, 759, 510, 384, 49, 137, 454, 213, 1166, 1476, 368, 1424, 1059, 907, 1770, 1073, 1238, 1237, 1091, 1497, 1638, 1649, 1372, 1306, 1473, 1776, 1214, 1484, 1393, 719, 1736, 1028, 1504, 1067, 128011, 128001 ]
[ 128000, 128002, 11649, 358, 8434, 956, 2019, 499, 4460, 990, 11, 358, 4265, 1120, 2019, 420, 832, 374, 1120, 13241, 13, 1472, 1440, 11, 433, 596, 1120, 11, 433, 596, 264, 2204, 1648, 11, 433, 596, 264, 502, 3169, 315, 2373, 315, 3815, 433, 13, 128003, 128005, 967, 727, 789, 1307, 741, 170, 498, 107, 228, 565, 1261, 186, 1056, 380, 547, 65, 81, 1261, 170, 474, 1073, 874, 1632, 1738, 1455, 173, 1268, 25, 1630, 1329, 1438, 1428, 608, 823, 1547, 541, 273, 10, 1471, 1487, 300, 944, 1791, 96, 1116, 634, 296, 1405, 350, 999, 1504, 979, 1213, 1781, 1178, 1453, 1009, 1178, 853, 1215, 947, 1427, 1274, 685, 1556, 648, 656, 945, 315, 1332, 92, 599, 1773, 96, 1438, 113, 512, 1564, 218, 1351, 488, 137, 969, 909, 1094, 1277, 1694, 723, 1152, 1389, 1305, 737, 1474, 1192, 1628, 545, 1785, 777, 1426, 825, 931, 1068, 1422, 1204, 68, 743, 1720, 1330, 76, 521, 370, 218, 329, 303, 834, 886, 490, 1128, 1054, 1695, 522, 966, 376, 402, 1407, 592, 1178, 333, 154, 930, 344, 884, 1104, 787, 172, 934, 488, 330, 1436, 206, 557, 1724, 1101, 1092, 999, 1077, 1700, 300, 205, 87, 152, 576, 333, 1082, 1021, 858, 495, 802, 948, 908, 297, 1190, 1141, 587, 221, 1243, 1024, 1411, 868, 326, 1439, 711, 876, 1691, 579, 1646, 328, 1393, 1617, 947, 1077, 1757, 764, 116, 1773, 886, 1496, 1283, 701, 1665, 1250, 672, 1751, 386, 1534, 791, 733, 1410, 42, 1761, 1484, 1674, 1495, 729, 56, 1188, 735, 837, 869, 1152, 613, 598, 1372, 1744, 1022, 564, 714, 972, 917, 1777, 1113, 776, 1636, 1424, 437, 1780, 1455, 1070, 1668, 1189, 304, 1172, 353, 680, 1475, 761, 1145, 1079, 136, 649, 259, 1284, 1028, 566, 10, 1028, 1637, 1355, 1076, 426, 918, 487, 1430, 266, 544, 459, 40, 1536, 1051, 807, 451, 1104, 376, 1401, 919, 711, 1068, 985, 1435, 1468, 1003, 110, 1105, 1499, 1286, 1089, 1144, 966, 642, 1456, 695, 1705, 475, 1741, 102, 1812, 537, 684, 1375, 1108, 1123, 1139, 58, 1278, 1711, 1097, 1342, 1772, 1005, 1337, 1651, 870, 1364, 1228, 1074, 1087, 1740, 715, 105, 1662, 886, 1611, 541, 533, 1383, 652, 823, 865, 1592, 694, 865, 1268, 1818, 1462, 1828, 456, 1225, 1282, 680, 1290, 1354, 1061, 1761, 1073, 76, 211, 788, 1188, 845, 1168, 1181, 1362, 1476, 679, 162, 84, 836, 522, 1344, 1779, 347, 1405, 980, 1292, 1731, 53, 575, 1075, 1125, 1147, 588, 1721, 723, 727, 1078, 655, 1498, 690, 1439, 159, 1711, 537, 225, 962, 324, 425, 1139, 769, 102, 607, 318, 1129, 627, 1379, 1694, 26, 399, 1228, 1135, 853, 400, 730, 1617, 902, 905, 1683, 1059, 843, 781, 1245, 1273, 349, 1257, 308, 926, 701, 755, 1491, 870, 1058, 1644, 1136, 1406, 1588, 607, 1595, 1272, 932, 1773, 828, 1595, 983, 804, 1431, 994, 1628, 1038, 167, 1316, 1092, 570, 1429, 1509, 1671, 173, 1473, 393, 828, 535, 492, 1021, 1086, 744, 985, 635, 599, 829, 1329, 424, 1749, 386, 406, 664, 513, 1263, 1448, 1526, 1036, 86, 1331, 1475, 954, 1450, 1428, 1747, 842, 1033, 867, 976, 274, 1568, 301, 325, 459, 601, 1543, 387, 1007, 325, 981, 1007, 426, 1092, 1474, 387, 1003, 325, 933, 824, 1474, 845, 862, 1003, 1273, 1220, 1414, 569, 86, 359, 681, 730, 1731, 1312, 1136, 744, 110, 1830, 1295, 1459, 662, 1130, 1014, 1134, 1138, 1278, 1062, 1073, 1138, 1310, 1123, 1426, 301, 1353, 1360, 789, 1303, 705, 1434, 1490, 1278, 693, 1725, 1067, 35, 431, 1234, 1473, 1041, 1392, 864, 1786, 1034, 994, 617, 95, 909, 1160, 926, 372, 1193, 331, 1059, 171, 1790, 1181, 205, 1822, 1493, 962, 1648, 1450, 1818, 637, 1454, 695, 780, 1794, 1532, 652, 652, 768, 847, 169, 165, 219, 219, 244, 128011, 128001 ]
[ 128000, 128002, 13359, 499, 11, 36157, 13, 816, 12791, 11, 358, 656, 45992, 32349, 13, 2360, 11, 719, 433, 596, 11, 433, 596, 11, 44844, 11, 433, 596, 264, 1695, 11, 433, 596, 264, 1695, 3245, 13, 128003, 128005, 1041, 882, 1438, 1040, 1468, 1216, 1342, 1795, 1303, 1173, 203, 324, 95, 57, 371, 36, 687, 756, 1335, 780, 1047, 648, 827, 41, 854, 585, 1292, 1059, 666, 726, 1104, 1704, 1104, 1668, 783, 1225, 1281, 1803, 1021, 487, 1631, 694, 438, 1110, 1396, 886, 831, 1139, 1219, 944, 32, 524, 1346, 466, 1470, 1417, 1002, 1743, 1739, 927, 1690, 1731, 1178, 1471, 1605, 1094, 1823, 380, 352, 1690, 375, 115, 1457, 309, 961, 658, 660, 1631, 300, 972, 1247, 1556, 1639, 1091, 1239, 1041, 1506, 1422, 999, 1047, 1008, 1175, 1495, 788, 848, 1313, 1241, 1270, 1476, 18, 1230, 1532, 1476, 1199, 1650, 1475, 260, 1449, 800, 730, 1751, 570, 998, 1057, 571, 840, 1104, 1097, 355, 1094, 1311, 625, 1170, 717, 1037, 1200, 974, 1487, 965, 205, 735, 361, 1180, 396, 1156, 1316, 1070, 878, 993, 1163, 1153, 1209, 250, 1379, 655, 1142, 1054, 66, 766, 1421, 734, 1311, 1758, 822, 725, 443, 212, 236, 768, 157, 461, 215, 225, 1796, 1367, 744, 1663, 384, 76, 433, 367, 137, 282, 818, 1795, 1395, 1486, 254, 1686, 87, 135, 520, 100, 1073, 1285, 1355, 1436, 1519, 357, 1679, 1410, 1247, 1746, 1718, 656, 1008, 49, 228, 1407, 228, 493, 921, 1313, 1303, 1681, 556, 1524, 882, 631, 1451, 1342, 1780, 637, 73, 932, 137, 248, 58, 212, 1358, 657, 181, 690, 184, 245, 1173, 55, 146, 1229, 1382, 1171, 169, 1074, 1421, 334, 1098, 905, 1128, 1130, 470, 1205, 1658, 516, 1178, 548, 1489, 1707, 316, 950, 447, 513, 1040, 1267, 366, 1224, 843, 1496, 950, 837, 884, 1510, 26, 778, 1175, 664, 1801, 520, 430, 120, 750, 1621, 548, 1495, 1248, 261, 1012, 1674, 522, 191, 125, 138, 1645, 587, 944, 1206, 452, 1505, 1695, 1188, 776, 1432, 1227, 338, 1054, 437, 487, 1108, 663, 1011, 899, 986, 686, 585, 1114, 325, 513, 862, 766, 513, 1390, 651, 1142, 666, 939, 686, 712, 612, 902, 900, 1253, 1136, 1026, 1621, 950, 1211, 28, 694, 713, 636, 1813, 1105, 716, 774, 1241, 814, 431, 1043, 891, 383, 1611, 685, 1245, 1648, 142, 1590, 658, 1369, 768, 1471, 725, 1361, 1244, 1436, 1144, 1702, 1631, 1023, 1688, 459, 724, 1451, 981, 1359, 1051, 1109, 1005, 1378, 1425, 1041, 693, 1817, 1303, 1071, 178, 1076, 1360, 1397, 174, 1176, 971, 1236, 1405, 351, 165, 219, 244, 128011, 128001 ]
[ 128000, 128002, 4071, 577, 35401, 11, 1093, 358, 1440, 358, 1053, 733, 304, 1070, 11, 358, 1053, 1505, 1124, 11, 358, 1053, 1005, 1124, 1093, 22571, 13, 128003, 128005, 1258, 184, 100, 813, 228, 524, 520, 181, 300, 425, 83, 756, 1403, 604, 855, 1588, 1447, 1716, 1203, 791, 297, 1638, 1646, 1796, 1215, 1634, 1556, 1462, 1086, 697, 260, 51, 135, 164, 83, 39, 565, 295, 172, 797, 455, 1127, 1257, 1591, 1314, 831, 1073, 1758, 1069, 1259, 754, 762, 902, 1397, 870, 1462, 1760, 1422, 1185, 1667, 1481, 624, 724, 563, 1142, 325, 1007, 1465, 544, 651, 1016, 513, 799, 1016, 516, 899, 1151, 513, 1669, 692, 805, 933, 567, 1652, 1255, 1142, 1799, 1252, 890, 498, 433, 152, 433, 234, 232, 1419, 781, 300, 937, 569, 658, 1411, 1212, 723, 116, 146, 452, 292, 96, 966, 621, 2, 1047, 1795, 948, 1043, 1211, 1132, 1113, 463, 973, 205, 270, 443, 320, 290, 680, 1081, 581, 152, 946, 208, 248, 1000, 155, 76, 871, 587, 25, 1816, 228, 1113, 536, 356, 1384, 506, 402, 24, 1645, 1323, 1036, 336, 795, 1029, 1427, 907, 1147, 1342, 1087, 211, 657, 1368, 218, 723, 616, 245, 1813, 1545, 471, 807, 254, 827, 280, 179, 1345, 1308, 537, 411, 1668, 1012, 516, 1223, 1443, 764, 82, 93, 65, 135, 422, 107, 557, 502, 1206, 1297, 857, 697, 1389, 1755, 639, 1534, 382, 993, 1631, 382, 1667, 1325, 1100, 146, 552, 170, 632, 67, 25, 621, 806, 245, 398, 1596, 909, 140, 95, 556, 1477, 1472, 1147, 1356, 1749, 1197, 1200, 1097, 282, 1186, 84, 1326, 446, 372, 868, 733, 347, 203, 179, 1501, 1640, 846, 970, 1818, 948, 1506, 1, 927, 1662, 1382, 366, 875, 522, 1335, 1769, 380, 1444, 282, 996, 1691, 943, 736, 790, 961, 200, 330, 1077, 615, 679, 1042, 1582, 1434, 1675, 614, 1026, 1261, 291, 1238, 349, 970, 1359, 1064, 1114, 1094, 1038, 995, 1665, 1156, 340, 549, 123, 1431, 1053, 1776, 512, 994, 1757, 713, 1573, 1061, 485, 117, 308, 793, 1228, 689, 1303, 1281, 1235, 1053, 491, 363, 1411, 1213, 1250, 1391, 32, 1681, 1478, 1524, 1500, 1209, 1231, 934, 1815, 13, 1412, 1052, 577, 1170, 229, 792, 434, 1032, 1795, 1090, 733, 837, 378, 651, 694, 676, 1007, 704, 591, 1601, 724, 981, 694, 799, 1293, 325, 513, 1390, 1145, 1360, 187, 165, 453, 244, 128011, 128001 ]
[ 128000, 128002, 40, 4265, 387, 1093, 11, 10035, 11, 499, 1440, 13, 358, 4265, 2567, 1124, 304, 279, 15808, 13, 128003, 128005, 929, 567, 993, 735, 785, 19, 673, 1405, 751, 316, 1223, 259, 923, 1110, 107, 107, 36, 218, 309, 536, 510, 1509, 1011, 19, 1006, 1519, 292, 1068, 787, 153, 1217, 1002, 462, 1022, 874, 1686, 330, 550, 1676, 1034, 1455, 1033, 1276, 733, 838, 1705, 761, 619, 1028, 1535, 773, 1330, 979, 1143, 297, 755, 300, 93, 1366, 1197, 1301, 347, 19, 1091, 400, 1215, 822, 1238, 1379, 372, 1214, 802, 328, 495, 863, 1147, 1624, 780, 1022, 175, 790, 1753, 230, 1310, 1615, 1018, 1647, 4, 1247, 1649, 18, 1075, 416, 440, 1426, 175, 328, 1498, 1679, 454, 1426, 1744, 1082, 1731, 1768, 1714, 1526, 1448, 1127, 877, 1468, 979, 41, 599, 1399, 755, 218, 759, 170, 48, 1642, 1041, 557, 1074, 589, 1762, 571, 1234, 1253, 718, 1826, 777, 801, 1818, 1188, 1723, 1766, 449, 820, 918, 603, 795, 247, 918, 862, 680, 1721, 766, 591, 325, 387, 751, 1151, 712, 1419, 686, 555, 862, 584, 516, 694, 676, 1233, 1362, 566, 1601, 274, 627, 1293, 630, 630, 995, 1228, 1403, 1195, 839, 1232, 349, 113, 228, 682, 335, 1153, 355, 1411, 1195, 585, 1094, 1153, 911, 796, 1478, 1470, 537, 1409, 648, 135, 1056, 1406, 701, 1214, 1124, 1611, 446, 37, 1286, 1052, 1596, 604, 1501, 1620, 827, 1790, 364, 671, 914, 1484, 663, 1009, 965, 1713, 1235, 981, 1460, 881, 926, 1627, 886, 557, 1286, 604, 994, 1389, 1060, 1711, 726, 90, 1656, 941, 923, 1031, 307, 976, 322, 1303, 684, 1680, 447, 734, 1050, 1668, 490, 1123, 1102, 729, 73, 1622, 1501, 695, 1294, 1497, 892, 548, 1501, 1235, 316, 1357, 637, 676, 1335, 1029, 594, 1528, 1134, 381, 1405, 1114, 1760, 1703, 119, 165, 244, 244, 128011, 128001 ]
[ 128000, 128002, 40, 3152, 11, 358, 1781, 358, 3309, 499, 922, 430, 11, 13678, 13, 9086, 430, 499, 1436, 11, 994, 584, 1051, 1176, 6041, 311, 1514, 11, 358, 574, 1093, 11, 14346, 11, 499, 1440, 11, 499, 649, 1005, 1521, 6603, 323, 814, 3358, 11, 477, 279, 29159, 323, 814, 3358, 656, 13, 128003, 128005, 712, 396, 1054, 1200, 361, 1481, 797, 1381, 864, 1277, 367, 1316, 88, 1663, 535, 536, 1302, 1819, 134, 1206, 82, 39, 100, 535, 422, 876, 1027, 1396, 1178, 1097, 446, 560, 441, 138, 324, 725, 218, 697, 983, 186, 790, 1535, 596, 1817, 1325, 656, 628, 170, 782, 1351, 700, 856, 556, 860, 371, 329, 755, 329, 549, 386, 1666, 1173, 518, 890, 642, 157, 1180, 730, 1656, 65, 83, 192, 1416, 100, 973, 155, 1265, 1449, 1129, 1455, 298, 358, 1786, 50, 726, 1817, 296, 981, 1313, 1282, 1726, 303, 1144, 1206, 1276, 1208, 1295, 1640, 16, 423, 41, 547, 571, 637, 25, 374, 637, 260, 639, 474, 1802, 1220, 331, 1230, 1137, 121, 1143, 518, 1524, 173, 1823, 76, 1276, 95, 1320, 1038, 1325, 1051, 568, 999, 250, 986, 1397, 1049, 1180, 1317, 521, 1309, 467, 1303, 467, 1170, 632, 1730, 299, 614, 892, 660, 798, 206, 1208, 1668, 1177, 458, 1134, 1277, 643, 1276, 396, 795, 1199, 674, 1114, 712, 42, 620, 460, 1233, 1151, 516, 862, 766, 939, 1614, 287, 1721, 387, 513, 686, 692, 1380, 325, 676, 933, 766, 939, 1474, 692, 751, 1360, 680, 957, 950, 676, 1138, 1218, 1344, 461, 87, 87, 443, 596, 715, 1464, 1411, 1260, 651, 726, 1742, 794, 215, 74, 138, 983, 292, 1143, 320, 768, 1381, 919, 1212, 1645, 1082, 41, 1002, 1053, 1402, 658, 1426, 935, 578, 459, 509, 808, 1815, 947, 1801, 1234, 711, 1758, 609, 1091, 646, 1255, 857, 1389, 105, 1799, 1103, 976, 1051, 199, 1211, 1158, 1294, 1174, 102, 367, 491, 789, 993, 1391, 1690, 1403, 831, 1342, 1369, 787, 687, 1365, 346, 1447, 1471, 665, 58, 1755, 639, 48, 395, 491, 326, 1261, 1129, 1775, 1677, 1428, 989, 1168, 1359, 1088, 1483, 105, 588, 1173, 1726, 388, 433, 214, 1166, 1110, 1764, 440, 1160, 554, 1241, 1250, 527, 1059, 1124, 179, 412, 74, 367, 252, 595, 800, 1325, 162, 205, 629, 947, 808, 1235, 647, 1476, 410, 525, 1487, 1177, 331, 1306, 1199, 567, 980, 1739, 1630, 1004, 159, 1365, 579, 88, 1330, 979, 1129, 2, 87, 433, 293, 248, 1161, 827, 1194, 931, 1113, 87, 222, 1488, 1034, 1462, 1580, 1403, 825, 1823, 868, 557, 1175, 874, 729, 914, 981, 839, 1347, 1325, 973, 367, 352, 462, 1078, 1153, 364, 389, 1091, 1149, 1293, 796, 1025, 178, 1008, 1817, 347, 728, 1010, 1130, 1497, 113, 252, 1263, 1029, 1297, 320, 700, 716, 849, 1214, 1521, 768, 1093, 854, 1121, 509, 833, 861, 1139, 545, 1654, 1170, 752, 1343, 1112, 1354, 1258, 740, 1009, 709, 495, 1094, 1004, 302, 1476, 715, 1761, 1450, 1532, 1704, 1028, 1421, 1323, 1094, 876, 1290, 1001, 1430, 1682, 1504, 884, 1825, 1451, 1741, 1023, 672, 693, 311, 1511, 429, 969, 1245, 973, 2, 205, 433, 1399, 681, 743, 1051, 981, 570, 1583, 1009, 1061, 1168, 1036, 1517, 628, 751, 1369, 207, 1124, 885, 752, 1761, 674, 1015, 1328, 1501, 774, 1106, 1620, 1326, 1065, 143, 1477, 1112, 1544, 1195, 275, 1783, 627, 624, 1011, 630, 891, 281, 591, 933, 672, 967, 325, 591, 1293, 862, 555, 1390, 544, 751, 274, 712, 751, 694, 680, 899, 1151, 939, 1176, 766, 751, 694, 168, 933, 1011, 487, 957, 681, 1675, 971, 520, 1812, 658, 617, 1450, 1138, 1638, 904, 985, 427, 1024, 869, 406, 1074, 1420, 1459, 1178, 883, 1817, 1135, 221, 116, 1089, 1072, 1078, 236, 210, 395, 1638, 1459, 1019, 1746, 800, 611, 1088, 1218, 1082, 1830, 1504, 1061, 1384, 454, 1661, 1322, 1646, 1123, 1327, 1333, 659, 1532, 984, 1785, 1462, 845, 1022, 1517, 1062, 1542, 239, 1234, 640, 1803, 651, 1664, 1338, 362, 483, 1708, 1310, 1056, 1581, 755, 1736, 1127, 905, 1372, 1361, 651, 1084, 1421, 1060, 1010, 1141, 1034, 345, 1156, 1247, 1037, 792, 741, 1484, 1144, 732, 1423, 1499, 523, 111, 1423, 1213, 1716, 1065, 1490, 944, 1622, 1297, 1486, 1076, 1005, 1770, 1096, 1720, 729, 1003, 405, 322, 1393, 963, 526, 663, 1229, 1429, 1767, 1309, 1315, 715, 1771, 1333, 976, 1138, 400, 1788, 1199, 1632, 1384, 1476, 704, 953, 866, 513, 692, 1570, 712, 712, 681, 1049, 1443, 261, 1281, 1173, 1489, 1384, 764, 1632, 219, 156, 219, 244, 128011, 128001 ]
[ 128000, 128002, 40, 1781, 10671, 779, 13435, 374, 961, 315, 279, 32353, 315, 433, 3582, 13, 358, 7655, 3582, 11, 379, 12791, 1494, 13, 45446, 499, 617, 311, 2231, 779, 1790, 892, 311, 636, 311, 430, 1486, 13, 9086, 856, 59640, 2380, 3752, 374, 264, 18118, 13, 1472, 1440, 1148, 358, 3152, 30, 2030, 430, 3952, 17668, 892, 13, 128003, 128005, 785, 601, 676, 918, 259, 1511, 579, 705, 218, 170, 1537, 882, 0, 751, 1053, 1421, 1035, 178, 297, 1059, 43, 104, 1051, 1411, 181, 1738, 1506, 1313, 1138, 837, 707, 396, 837, 1816, 1156, 329, 510, 104, 1444, 232, 1329, 1764, 881, 490, 1770, 299, 1399, 1160, 1105, 1831, 1180, 1218, 76, 622, 508, 1256, 875, 665, 1025, 208, 1775, 380, 1783, 346, 1408, 1004, 1002, 427, 1470, 1342, 1734, 430, 328, 636, 780, 1290, 154, 919, 1776, 1113, 472, 74, 467, 825, 110, 1256, 356, 610, 369, 98, 176, 1420, 369, 217, 1036, 978, 1749, 869, 31, 1094, 1795, 1489, 1002, 1500, 835, 263, 1723, 276, 1161, 557, 388, 725, 1568, 919, 1448, 672, 976, 651, 1053, 1282, 1465, 1651, 816, 721, 170, 1042, 367, 384, 425, 349, 363, 577, 1086, 367, 282, 1831, 1649, 1324, 1802, 565, 779, 1310, 1209, 325, 1170, 1037, 1638, 869, 301, 1292, 523, 766, 1064, 89, 1255, 717, 1519, 318, 1279, 849, 1168, 795, 980, 563, 1327, 837, 548, 1039, 563, 487, 1306, 259, 766, 918, 396, 821, 1050, 639, 263, 1404, 430, 1074, 1519, 517, 1379, 910, 411, 1298, 723, 536, 1786, 53, 1396, 874, 411, 1813, 711, 105, 1058, 1105, 1260, 1804, 1829, 1403, 1025, 248, 1014, 388, 697, 518, 671, 1766, 1393, 1663, 1813, 339, 732, 901, 711, 1186, 1504, 1220, 744, 885, 586, 68, 1343, 1819, 798, 467, 841, 1462, 714, 550, 514, 1412, 152, 887, 254, 965, 326, 376, 1218, 549, 833, 1111, 1088, 1282, 593, 1385, 1164, 355, 1099, 1468, 629, 1291, 1500, 905, 1110, 519, 1488, 648, 770, 1024, 911, 1384, 1403, 487, 1630, 1272, 1108, 437, 1097, 1245, 1435, 1361, 655, 1501, 1325, 1189, 1504, 486, 1372, 1375, 727, 333, 992, 1583, 1146, 1022, 860, 926, 773, 1141, 1040, 1402, 755, 1171, 1742, 549, 1247, 1711, 452, 979, 1757, 358, 678, 695, 587, 1804, 1399, 1498, 1309, 1375, 1485, 1314, 1345, 1690, 1721, 1360, 417, 838, 1573, 1661, 2, 25, 1401, 714, 1432, 766, 1074, 378, 1701, 715, 1746, 864, 55, 433, 433, 890, 100, 1504, 1285, 1130, 1475, 1631, 886, 1583, 656, 1370, 1364, 522, 1565, 430, 1175, 1642, 372, 1214, 884, 979, 1113, 116, 100, 53, 102, 1240, 276, 573, 518, 243, 1297, 87, 1511, 63, 328, 1323, 202, 1196, 395, 697, 1135, 997, 498, 1192, 595, 58, 763, 872, 1714, 276, 463, 1410, 69, 1116, 1713, 1034, 1589, 927, 1208, 1389, 408, 260, 184, 1135, 723, 609, 956, 587, 537, 376, 521, 552, 1013, 558, 1489, 1468, 926, 438, 993, 814, 799, 1153, 304, 719, 1134, 520, 28, 1053, 32, 881, 229, 121, 857, 66, 649, 891, 333, 711, 917, 943, 537, 550, 1403, 309, 1013, 581, 1211, 1568, 872, 674, 1306, 1043, 601, 1370, 1496, 636, 1495, 792, 1177, 717, 1607, 857, 411, 1784, 565, 1003, 152, 1143, 1318, 422, 1072, 1095, 1078, 1054, 336, 1130, 978, 538, 19, 259, 1797, 1172, 727, 1815, 149, 1569, 1122, 994, 1035, 699, 1257, 1174, 792, 697, 924, 961, 570, 1144, 768, 872, 229, 1646, 1397, 144, 1367, 693, 1007, 1265, 1347, 1004, 291, 1733, 300, 587, 43, 1534, 1293, 878, 845, 1748, 388, 82, 966, 140, 215, 966, 170, 466, 1394, 1178, 1782, 1125, 1309, 1832, 1212, 402, 212, 511, 508, 170, 1086, 243, 955, 243, 271, 492, 157, 537, 390, 36, 931, 1114, 1028, 1090, 426, 979, 1738, 1417, 1206, 1336, 892, 656, 1497, 206, 1171, 1497, 947, 729, 649, 1130, 1519, 434, 1285, 973, 658, 474, 300, 665, 723, 162, 293, 192, 236, 1081, 773, 1117, 54, 1031, 469, 837, 1117, 1629, 579, 116, 1093, 1034, 521, 877, 493, 764, 1068, 554, 1261, 1769, 565, 532, 1253, 1189, 1592, 1172, 457, 1738, 1133, 476, 1481, 932, 1614, 9, 1299, 1511, 1425, 1660, 1251, 1608, 855, 1662, 210, 1493, 474, 1304, 678, 1196, 678, 1196, 609, 887, 1161, 1435, 1660, 1213, 1798, 1279, 1802, 1270, 1513, 1439, 308, 1164, 713, 1292, 785, 902, 1456, 961, 841, 171, 1647, 1097, 1076, 1428, 1129, 490, 1432, 1277, 453, 929, 1070, 772, 1188, 336, 1153, 1316, 799, 650, 516, 1665, 1090, 54, 1170, 1121, 1262, 650, 169, 1104, 1054, 538, 993, 1079, 1694, 1012, 548, 1379, 1064, 486, 852, 247, 1381, 1732, 202, 882, 268, 100, 1733, 51, 104, 607, 380, 186, 73, 192, 371, 218, 164, 116, 39, 205, 1240, 135, 366, 521, 205, 254, 217, 346, 1382, 1249, 599, 1069, 293, 407, 191, 155, 1002, 1022, 232, 872, 617, 1160, 1484, 1725, 1170, 457, 1753, 565, 252, 192, 200, 36, 138, 1155, 1476, 1031, 627, 1041, 1731, 1144, 1178, 832, 1199, 1355, 1032, 1379, 1429, 1716, 999, 1042, 1225, 886, 1312, 1731, 833, 1237, 1175, 1212, 1076, 1492, 372, 1402, 1057, 813, 1212, 1040, 1356, 471, 1062, 423, 1116, 921, 964, 1144, 572, 1073, 973, 537, 537, 324, 146, 260, 711, 463, 1629, 1777, 1188, 31, 1116, 1079, 1528, 292, 1797, 1097, 1435, 1286, 809, 737, 382, 1109, 762, 1067, 717, 1292, 495, 862, 454, 820, 1270, 1318, 524, 65, 147, 462, 1827, 1182, 41, 1393, 1448, 513, 773, 1367, 1810, 868, 1775, 796, 1234, 1215, 1378, 1699, 1454, 1082, 307, 960, 970, 442, 1082, 1358, 1410, 1072, 1517, 1468, 474, 39, 221, 412, 452, 164, 215, 679, 339, 1663, 364, 1316, 1022, 1036, 1252, 300, 1123, 637, 1098, 171, 1496, 1803, 226, 1164, 1052, 1821, 535, 776, 1638, 1421, 562, 691, 971, 1142, 666, 377, 1465, 1003, 31, 661, 1038, 1760, 1033, 165, 219, 244, 128011, 128001 ]
[ 128000, 128002, 791, 2132, 499, 9932, 11, 430, 596, 3249, 358, 42666, 813, 6945, 11, 1093, 813, 6405, 6945, 13, 1102, 596, 1093, 279, 832, 304, 279, 7937, 11, 1314, 30, 54953, 13, 358, 1781, 433, 706, 264, 2697, 9072, 389, 433, 11, 358, 1541, 956, 1440, 13, 1283, 596, 16926, 12072, 994, 568, 53159, 420, 323, 568, 3358, 387, 1093, 11, 128003, 128005, 636, 1118, 1164, 257, 981, 1797, 1792, 1448, 931, 1331, 1263, 349, 1532, 1707, 1393, 630, 1391, 661, 259, 735, 1208, 946, 1114, 959, 1816, 1139, 1001, 341, 1310, 911, 541, 848, 1651, 1332, 906, 388, 806, 43, 25, 1468, 170, 203, 135, 1435, 1678, 24, 346, 107, 128, 104, 1161, 135, 232, 587, 1712, 43, 1816, 146, 1686, 877, 358, 1032, 1401, 347, 1680, 665, 474, 104, 170, 1636, 170, 1762, 92, 1098, 1708, 357, 300, 1300, 282, 1180, 648, 206, 1077, 214, 1161, 773, 1099, 564, 1261, 843, 1773, 1099, 559, 701, 764, 36, 128, 39, 47, 43, 88, 13, 1160, 585, 849, 1495, 852, 28, 672, 867, 1116, 717, 1825, 1229, 367, 248, 753, 847, 221, 184, 1005, 173, 361, 656, 115, 1353, 581, 142, 1353, 330, 887, 639, 349, 53, 1344, 656, 81, 252, 1524, 827, 905, 1230, 1421, 274, 1034, 1820, 1210, 522, 768, 341, 1082, 1306, 986, 979, 1770, 253, 517, 1749, 1261, 1153, 116, 1396, 1029, 894, 1039, 1153, 1758, 1407, 1261, 1804, 239, 1320, 1777, 767, 1305, 1623, 459, 465, 1139, 1481, 841, 456, 1082, 657, 1379, 813, 726, 1199, 643, 410, 1108, 1639, 854, 1052, 1489, 524, 1652, 1341, 764, 861, 422, 1361, 86, 1024, 1517, 227, 1116, 729, 795, 1254, 275, 1665, 1065, 1794, 1173, 1150, 1630, 1150, 768, 959, 206, 1138, 989, 924, 445, 999, 1055, 1393, 461, 831, 1426, 1671, 1278, 911, 1546, 368, 344, 555, 1024, 1012, 781, 1174, 894, 1320, 413, 1817, 642, 363, 711, 1737, 93, 1468, 297, 944, 1758, 1720, 595, 1814, 1462, 400, 1389, 1629, 791, 1352, 236, 872, 681, 1329, 751, 185, 1322, 651, 957, 666, 735, 995, 933, 627, 1639, 513, 584, 1043, 174, 1305, 1060, 923, 1777, 1357, 1511, 1348, 1075, 719, 971, 1485, 901, 1776, 1303, 1311, 1241, 1097, 1466, 1268, 1272, 1041, 1043, 1780, 1247, 1309, 1750, 833, 1361, 1383, 1104, 460, 1510, 772, 513, 387, 627, 1233, 620, 674, 950, 1067, 1315, 1034, 1357, 1764, 1349, 1281, 1794, 1082, 1263, 1726, 943, 628, 239, 794, 1420, 665, 1822, 961, 1075, 1487, 1136, 886, 787, 864, 721, 911, 1094, 1109, 1701, 950, 1465, 1642, 1769, 1042, 1459, 887, 662, 1751, 818, 1725, 1196, 946, 1298, 959, 1496, 887, 1525, 95, 878, 910, 1395, 693, 1437, 795, 1406, 1399, 1648, 1384, 755, 1752, 957, 1387, 4, 1451, 654, 1035, 1035, 541, 895, 884, 1331, 1454, 849, 1339, 1351, 704, 907, 1395, 681, 1499, 1638, 670, 1378, 1304, 1517, 304, 660, 1235, 995, 961, 741, 1305, 934, 767, 1311, 860, 1205, 1258, 1214, 337, 1820, 426, 651, 1320, 1212, 1280, 1261, 1794, 1700, 1375, 1465, 1212, 938, 1309, 1379, 1418, 1458, 793, 727, 1292, 869, 1070, 672, 1137, 387, 1362, 824, 1719, 696, 712, 862, 680, 1348, 649, 526, 1694, 907, 1750, 330, 411, 440, 115, 1661, 81, 1210, 57, 1204, 1478, 1036, 1118, 1205, 1303, 316, 1059, 1121, 680, 1448, 405, 584, 724, 516, 1390, 704, 891, 1474, 555, 1011, 465, 751, 1614, 585, 1007, 666, 513, 1293, 1151, 627, 1176, 692, 799, 426, 1142, 274, 1244, 624, 1362, 676, 487, 1021, 301, 1592, 1168, 316, 1430, 1154, 606, 924, 470, 1553, 1223, 237, 1305, 1131, 900, 1130, 174, 1553, 1134, 1815, 979, 777, 775, 1495, 261, 1094, 1180, 730, 135, 797, 361, 1310, 1757, 1781, 1107, 492, 1178, 498, 730, 1691, 1568, 1642, 1439, 1543, 1806, 781, 1165, 1605, 775, 1181, 125, 1803, 806, 1778, 523, 1554, 1353, 879, 1167, 753, 1172, 136, 1588, 19, 1553, 999, 1264, 1668, 446, 1203, 520, 393, 1193, 215, 1203, 887, 944, 1154, 670, 1125, 832, 1725, 1208, 1155, 1268, 1119, 890, 1203, 5, 1345, 1245, 1731, 1106, 322, 715, 655, 406, 1195, 229, 1774, 1197, 1656, 1611, 934, 609, 693, 949, 1399, 1309, 594, 1750, 1342, 406, 1761, 1169, 1357, 847, 1204, 568, 1682, 1456, 1455, 1065, 1697, 846, 1440, 1027, 1272, 455, 768, 328, 796, 1620, 1235, 1366, 1750, 358, 1129, 455, 759, 302, 1733, 410, 934, 1768, 1031, 643, 1809, 1117, 1738, 517, 1292, 1621, 1195, 937, 671, 1448, 1078, 506, 980, 816, 1480, 581, 981, 479, 1164, 1000, 1447, 1738, 77, 1168, 1123, 1176, 1059, 1142, 1451, 1067, 1465, 1450, 516, 1784, 1424, 1115, 547, 998, 656, 1294, 382, 1435, 407, 1211, 756, 1168, 903, 821, 1173, 1655, 947, 792, 865, 1054, 1010, 552, 938, 466, 785, 730, 927, 803, 665, 1123, 1422, 1532, 1654, 1524, 1325, 1736, 36, 1716, 1069, 483, 1421, 1754, 713, 1642, 1451, 1146, 1456, 1325, 1181, 864, 1064, 1534, 764, 1079, 973, 388, 1154, 1785, 1147, 1421, 983, 318, 1077, 666, 1215, 1775, 725, 135, 1801, 228, 282, 545, 104, 1206, 536, 521, 1278, 1327, 608, 1701, 595, 764, 1200, 1402, 300, 1135, 1291, 393, 1264, 656, 800, 1071, 1568, 1504, 1781, 172, 1183, 725, 271, 1232, 1431, 383, 1277, 1284, 1481, 275, 1171, 1173, 1342, 1166, 1675, 430, 299, 560, 300, 741, 356, 1116, 1730, 1329, 526, 1639, 1116, 1541, 206, 791, 858, 993, 1173, 687, 711, 966, 254, 791, 452, 172, 841, 592, 1098, 1823, 656, 1462, 1400, 719, 1777, 362, 239, 1682, 1682, 1656, 1525, 1495, 1731, 1758, 1400, 983, 1819, 768, 1326, 931, 1794, 931, 1677, 1358, 512, 1690, 1434, 1270, 1826, 1393, 865, 1830, 1215, 1395, 1497, 796, 1326, 1329, 1600, 1749, 1370, 1757, 1748, 1364, 1761, 1034, 1450, 1306, 1073, 951, 1280, 1160, 1591, 1774, 639, 1819, 1226, 1805, 1279, 1720, 1733, 1196, 609, 1235, 1409, 1378, 461, 1326, 1156, 1183, 1295, 944, 1361, 1808, 958, 1471, 502, 299, 1774, 725, 299, 1077, 110, 43, 1135, 1487, 512, 1164, 1031, 773, 1806, 800, 1761, 1071, 719, 1062, 1368, 537, 1089, 903, 1412, 64, 1621, 1121, 119, 924, 229, 1437, 1119, 721, 1824, 1005, 1373, 1500, 1232, 388, 422, 214, 434, 1098, 680, 431, 523, 762, 869, 674, 1411, 1355, 1646, 656, 1393, 1088, 1029, 1404, 347, 1197, 1280, 1143, 853, 1146, 707, 995, 1125, 1505, 1822, 1177, 5, 1682, 1098, 55, 973, 341, 74, 695, 703, 1412, 1086, 1674, 1741, 1211, 1129, 1303, 185, 165, 244, 244, 128011, 128001 ]
[ 128000, 128002, 24220, 11, 1314, 13, 3744, 315, 279, 32353, 11, 358, 1781, 11, 922, 59640, 596, 4731, 5423, 11, 323, 358, 2846, 7556, 922, 279, 9063, 4731, 11, 539, 279, 35288, 4731, 11, 44844, 11, 374, 430, 279, 11936, 2744, 617, 459, 16940, 311, 1148, 596, 3604, 2133, 389, 304, 279, 1917, 13, 2100, 422, 499, 1427, 520, 279, 19809, 11, 499, 1440, 11, 499, 617, 420, 5609, 11, 433, 574, 1093, 11, 19670, 13054, 11, 8945, 13, 1472, 1440, 11, 499, 1427, 520, 430, 11, 499, 1440, 11, 6392, 1093, 430, 13, 2100, 358, 1781, 430, 596, 961, 315, 279, 128003, 128005, 802, 1631, 1701, 1342, 937, 1596, 1029, 1790, 218, 248, 1755, 172, 221, 1447, 271, 1252, 665, 1083, 1160, 1030, 1121, 1399, 255, 586, 1494, 494, 1367, 492, 1038, 1178, 754, 947, 720, 1475, 947, 1047, 472, 1064, 1448, 163, 929, 1199, 199, 1116, 449, 1142, 1309, 1070, 1128, 1154, 1070, 707, 674, 785, 1657, 1725, 1485, 1407, 1241, 596, 1800, 154, 1639, 1282, 4, 976, 333, 895, 1822, 1209, 545, 1485, 25, 730, 367, 433, 614, 808, 170, 1015, 1356, 1226, 1220, 282, 1734, 1746, 1160, 473, 610, 364, 1300, 170, 1388, 1698, 1057, 1428, 335, 410, 1651, 356, 1031, 1349, 1282, 1424, 1030, 1113, 1097, 1351, 1122, 877, 730, 1263, 848, 535, 1102, 850, 1509, 1750, 800, 580, 352, 179, 277, 245, 1126, 1249, 878, 691, 930, 1245, 621, 270, 499, 1308, 382, 1045, 1741, 1024, 1591, 81, 142, 297, 1813, 406, 1677, 142, 491, 1620, 595, 147, 621, 1439, 173, 1381, 1651, 1202, 1114, 1099, 1305, 1342, 767, 1632, 822, 838, 1375, 1165, 1330, 664, 390, 1593, 1170, 173, 1490, 1649, 339, 260, 1620, 1220, 892, 39, 373, 1473, 1072, 364, 525, 1506, 872, 741, 583, 1788, 1309, 680, 1370, 1583, 640, 989, 1033, 1292, 1115, 624, 993, 583, 1430, 872, 747, 1375, 1001, 1721, 1342, 1524, 1651, 1053, 600, 999, 1455, 795, 881, 905, 1125, 339, 1780, 1422, 1646, 485, 1, 1623, 781, 649, 1233, 632, 657, 715, 309, 252, 239, 791, 959, 333, 948, 1513, 232, 1214, 767, 1190, 1772, 997, 662, 1627, 339, 662, 454, 657, 1703, 300, 1481, 1437, 382, 370, 514, 979, 499, 158, 587, 730, 1004, 535, 626, 599, 306, 1372, 1029, 1347, 882, 535, 1607, 218, 1726, 1670, 844, 798, 13, 93, 341, 860, 291, 1711, 650, 42, 874, 339, 836, 1073, 904, 1655, 689, 1824, 1415, 764, 841, 847, 82, 125, 402, 222, 687, 948, 1735, 595, 898, 1542, 498, 140, 367, 416, 1164, 345, 1212, 260, 1472, 1235, 1000, 1721, 984, 1421, 974, 1248, 874, 575, 1389, 410, 1455, 206, 549, 29, 181, 95, 1636, 528, 1833, 375, 361, 11, 656, 1068, 382, 411, 1652, 1005, 555, 1053, 1049, 927, 1453, 782, 1499, 1382, 1746, 1688, 400, 1726, 1041, 909, 570, 1064, 1785, 431, 171, 1459, 660, 719, 173, 1388, 393, 492, 1476, 1051, 235, 1134, 490, 1074, 1124, 608, 1192, 1657, 604, 1373, 346, 902, 892, 1104, 579, 1534, 463, 839, 1057, 1186, 1246, 347, 250, 1777, 902, 297, 1685, 570, 845, 65, 1153, 693, 1375, 1799, 538, 1146, 1736, 1677, 1621, 1347, 1212, 406, 565, 1118, 1629, 1310, 735, 1573, 579, 1361, 1084, 768, 1400, 905, 1432, 1495, 643, 1134, 1162, 1668, 1170, 486, 999, 1067, 566, 1355, 523, 1128, 1116, 31, 1104, 1421, 680, 1031, 624, 1164, 1303, 287, 1040, 1010, 866, 1130, 169, 924, 1211, 627, 1255, 1142, 513, 1033, 563, 724, 691, 1224, 497, 642, 880, 697, 2, 152, 74, 39, 248, 844, 1072, 755, 146, 159, 1596, 570, 81, 525, 22, 535, 552, 1506, 347, 1105, 1103, 993, 1129, 1797, 349, 1077, 719, 1412, 1260, 1091, 1378, 1279, 1329, 1179, 1228, 1099, 1123, 1021, 1437, 1310, 1084, 919, 1002, 688, 138, 191, 794, 962, 1686, 1436, 1403, 1624, 512, 1728, 1703, 1120, 1380, 393, 294, 367, 282, 581, 172, 474, 123, 81, 297, 277, 658, 1415, 656, 1186, 989, 1143, 1289, 881, 1223, 458, 1495, 909, 110, 393, 868, 687, 1229, 1518, 328, 1290, 782, 911, 865, 328, 386, 720, 2, 43, 569, 801, 806, 1178, 270, 106, 1736, 656, 93, 1825, 1082, 1001, 1083, 135, 41, 1552, 870, 34, 364, 998, 87, 764, 1196, 1607, 955, 1344, 183, 441, 462, 456, 945, 320, 922, 367, 135, 600, 293, 96, 1427, 688, 104, 1743, 943, 1259, 1494, 471, 1624, 1439, 870, 1718, 870, 636, 1646, 1270, 1228, 1583, 344, 995, 1565, 1145, 585, 1479, 651, 933, 459, 334, 1279, 1333, 42, 1182, 1647, 1436, 604, 1823, 868, 210, 248, 65, 206, 299, 600, 1773, 1097, 1263, 299, 1194, 1818, 927, 1620, 1075, 1307, 1343, 1216, 1683, 1180, 1132, 1457, 339, 302, 1313, 1012, 1787, 320, 828, 1163, 960, 484, 944, 521, 312, 725, 688, 1482, 521, 98, 508, 1083, 1507, 1281, 1055, 1661, 1184, 1340, 474, 532, 1308, 958, 1399, 300, 931, 376, 537, 576, 57, 637, 716, 687, 1680, 1636, 330, 1534, 1761, 1067, 740, 24, 1500, 1822, 1447, 907, 291, 1655, 1146, 718, 442, 1690, 238, 1330, 1040, 816, 644, 1631, 724, 1290, 863, 1831, 944, 142, 536, 1410, 299, 569, 1077, 463, 847, 860, 1774, 169, 410, 1611, 18, 463, 1290, 62, 1204, 828, 1492, 1271, 1773, 759, 557, 1824, 383, 449, 820, 1067, 338, 1005, 1421, 560, 588, 1748, 82, 1152, 1426, 613, 1796, 370, 843, 947, 829, 950, 715, 905, 1139, 1301, 1097, 1100, 1075, 1149, 1004, 1209, 774, 1260, 123, 58, 547, 737, 870, 497, 1273, 989, 1218, 1815, 604, 934, 1628, 1160, 568, 1364, 1167, 1447, 1055, 1280, 259, 1715, 1118, 548, 917, 486, 974, 1663, 904, 679, 843, 903, 974, 1340, 708, 1653, 210, 647, 679, 1132, 1533, 1517, 484, 1205, 1268, 1513, 328, 865, 654, 1325, 411, 87, 277, 741, 57, 955, 386, 51, 1156, 113, 452, 1087, 861, 1012, 1123, 665, 806, 388, 358, 1289, 1565, 1059, 1590, 318, 318, 310, 200, 759, 10, 715, 998, 1591, 1521, 1002, 946, 249, 83, 1013, 2, 170, 647, 759, 1247, 674, 1292, 1012, 1823, 270, 380, 107, 831, 135, 1013, 372, 910, 123, 157, 1245, 1711, 1125, 1475, 1379, 1714, 805, 1134, 732, 1142, 1309, 953, 1665, 1104, 1662, 656, 203, 822, 948, 1661, 232, 774, 143, 715, 1774, 739, 579, 716, 796, 604, 1368, 1270, 499, 1312, 713, 499, 1490, 919, 1206, 1628, 656, 1321, 277, 1130, 490, 1021, 693, 445, 1164, 1070, 1215, 707, 673, 833, 651, 1359, 1012, 601, 999, 1211, 585, 1074, 169, 1215, 1130, 275, 1094, 936, 995, 1134, 331, 878, 1489, 337, 1168, 486, 1338, 1284, 624, 1360, 1144, 1440, 1752, 1804, 388, 402, 87, 170, 678, 1729, 1329, 1465, 357, 581, 1411, 358, 1282, 689, 764, 737, 557, 346, 162, 205, 182, 162, 200, 295, 152, 123, 479, 260, 92, 860, 632, 648, 956, 931, 2, 39, 557, 1160, 1436, 452, 618, 1526, 517, 1437, 1345, 883, 1146, 726, 1629, 218, 549, 110, 1620, 1752, 1397, 535, 550, 616, 1040, 570, 13, 738, 434, 1117, 687, 1206, 1381, 947, 1105, 1210, 1127, 956, 339, 254, 579, 1243, 1306, 1038, 1805, 711, 158, 205, 937, 1751, 802, 640, 231, 654, 895, 1015, 388, 173, 125, 364, 571, 1253, 461, 113, 102, 1493, 999, 1110, 998, 1622, 1466, 700, 83, 1488, 507, 1261, 1733, 1332, 115, 536, 911, 349, 1167, 881, 1316, 447, 929, 1443, 847, 221, 1127, 800, 393, 402, 115, 93, 711, 800, 858, 730, 898, 1074, 791, 1257, 1228, 604, 1323, 895, 1041, 1152, 1528, 727, 1780, 497, 1690, 210, 1488, 441, 937, 1344, 887, 1651, 9, 1344, 1210, 473, 1254, 1782, 989, 1062, 344, 1671, 464, 1714, 1245, 909, 452, 676, 587, 1168, 1501, 452, 724, 1497, 282, 563, 735, 1168, 174, 1790, 522, 548, 734, 1024, 188, 1346, 1040, 963, 1824, 459, 562, 1168, 259, 666, 1153, 336, 1104, 1316, 799, 993, 936, 1639, 1116, 727, 878, 1099, 666, 1082, 1421, 1035, 1034, 1211, 701, 929, 691, 885, 638, 1439, 1736, 30, 245, 576, 100, 1018, 1240, 370, 102, 282, 958, 1351, 179, 626, 1287, 573, 828, 1583, 1143, 1158, 1170, 1005, 913, 0, 773, 1716, 330, 1166, 890, 155, 125, 682, 93, 1272, 570, 1229, 380, 768, 1152, 979, 855, 1147, 604, 1173, 1068, 1519, 816, 887, 790, 172, 215, 127, 570, 393, 93, 239, 172, 142, 1047, 886, 164, 221, 1004, 604, 1483, 1718, 1098, 1038, 1359, 1079, 1092, 1814, 799, 1736, 1585, 1157, 1808, 1247, 1318, 333, 1173, 1733, 1178, 956, 1620, 333, 1331, 1252, 1795, 339, 813, 1823, 309, 260, 1690, 499, 798, 899, 382, 425, 1492, 993, 1391, 495, 1485, 1226, 362, 416, 1568, 1351, 1087, 1310, 1197, 483, 521, 1274, 602, 1254, 1359, 745, 1418, 356, 1351, 346, 517, 1365, 1241, 412, 158, 565, 660, 1524, 1074, 1035, 166, 865, 1552, 884, 1706, 371, 622, 443, 1355, 1713, 1240, 173, 433, 2, 483, 759, 1519, 1593, 1485, 371, 159, 270, 800, 1829, 1412, 717, 1303, 1101, 681, 1170, 1316, 1322, 1094, 1255, 1091, 1170, 1305, 822, 1495, 1637, 1036, 981, 938, 1128, 694, 399, 1290, 812, 715, 475, 1368, 212, 1308, 228, 794, 170, 1083, 858, 1806, 28, 1161, 374, 383, 146, 1632, 434, 1280, 1607, 385, 1501, 208, 461, 393, 100, 402, 1006, 1351, 1422, 1524, 581, 1797, 1430, 878, 1010, 1462, 1103, 700, 1140, 277, 106, 1498, 228, 840, 901, 1415, 1025, 759, 140, 1025, 319, 1809, 682, 324, 536, 100, 1156, 877, 966, 1630, 1715, 1089, 840, 32, 1203, 936, 1683, 1251, 128011, 128001 ]
[ 128000, 128002, 791, 3245, 430, 584, 2216, 3021, 922, 433, 374, 430, 433, 706, 11, 1093, 11, 459, 16940, 11, 1093, 11, 44517, 3185, 311, 433, 13, 128003, 128005, 1783, 208, 1344, 433, 49, 1369, 137, 1422, 1267, 232, 893, 67, 1407, 913, 330, 1029, 935, 1221, 983, 123, 2, 768, 104, 164, 13, 277, 841, 1809, 1088, 977, 1357, 1411, 1504, 1714, 811, 1792, 650, 1584, 372, 1497, 1516, 833, 1656, 745, 1170, 1416, 117, 1814, 739, 1247, 1444, 854, 1324, 338, 793, 693, 1696, 1282, 1006, 1687, 1227, 59, 1714, 1210, 776, 1292, 1726, 197, 609, 455, 1563, 232, 29, 356, 412, 143, 483, 657, 1516, 1261, 1483, 1436, 1097, 687, 346, 48, 1436, 382, 1766, 658, 1392, 895, 1113, 1014, 1653, 408, 1593, 1563, 1192, 1673, 642, 828, 483, 173, 13, 346, 309, 1047, 1718, 929, 1655, 790, 524, 125, 422, 302, 1685, 1367, 360, 1481, 1103, 860, 186, 402, 79, 565, 806, 794, 573, 565, 371, 1113, 522, 855, 1336, 1492, 1339, 135, 1141, 657, 100, 1237, 374, 49, 955, 1100, 1364, 1305, 1168, 1182, 1454, 711, 901, 836, 57, 1312, 788, 1139, 1688, 1342, 1747, 1703, 1031, 41, 376, 76, 205, 452, 299, 764, 537, 565, 695, 1344, 1182, 1199, 999, 1126, 1716, 1029, 1129, 547, 371, 966, 656, 1443, 1212, 1182, 1333, 1178, 461, 1196, 228, 393, 87, 162, 514, 181, 1435, 1661, 1241, 1718, 794, 1382, 1661, 1161, 639, 1468, 1468, 1803, 1720, 1758, 1504, 1651, 1277, 1661, 1437, 1227, 1720, 1223, 168, 1390, 981, 627, 561, 971, 785, 795, 627, 820, 692, 1348, 1474, 486, 933, 630, 538, 1043, 1051, 1714, 1260, 606, 1421, 693, 758, 1675, 48, 903, 352, 388, 358, 1402, 793, 929, 1629, 292, 864, 138, 277, 1392, 1334, 1054, 751, 947, 548, 866, 1316, 643, 1553, 1194, 1030, 1127, 880, 412, 764, 522, 874, 506, 1463, 543, 1059, 706, 1800, 282, 1389, 536, 329, 966, 55, 79, 162, 547, 644, 753, 1402, 1662, 1494, 1224, 29, 565, 234, 138, 83, 57, 573, 864, 349, 791, 847, 522, 1399, 346, 549, 184, 320, 934, 679, 773, 1391, 782, 1403, 1081, 1437, 773, 1648, 556, 910, 1812, 1355, 660, 1388, 741, 937, 1403, 1042, 796, 1042, 1379, 1036, 638, 1021, 1268, 457, 1292, 353, 487, 1668, 470, 1570, 1348, 681, 1538, 1023, 805, 1151, 905, 585, 301, 457, 19, 1259, 426, 948, 1622, 1666, 1456, 1431, 709, 1348, 1156, 747, 331, 1477, 482, 1234, 1143, 1794, 104, 205, 629, 383, 1216, 1459, 658, 644, 1732, 948, 1525, 595, 910, 1783, 604, 1141, 1674, 347, 1077, 875, 872, 1234, 1634, 1173, 1163, 664, 1475, 695, 1117, 1291, 1329, 1123, 686, 1188, 336, 1589, 1367, 950, 1082, 869, 1565, 1024, 624, 1528, 918, 624, 669, 676, 862, 1570, 939, 1419, 692, 727, 666, 460, 426, 867, 1722, 1283, 701, 1451, 962, 608, 1358, 907, 868, 76, 352, 1708, 370, 697, 1340, 371, 142, 1407, 300, 424, 849, 271, 893, 383, 908, 1430, 1216, 562, 1393, 1499, 1461, 1059, 396, 785, 773, 1720, 1, 1683, 1384, 1589, 1409, 486, 944, 90, 1437, 490, 705, 735, 1330, 1235, 693, 756, 1282, 1304, 759, 1361, 548, 1410, 1611, 765, 1370, 1033, 156, 165, 244, 244, 128011, 128001 ]
[ 128000, 128002, 12174, 11, 430, 574, 779, 16682, 13, 358, 3077, 34793, 311, 11, 358, 3077, 34793, 311, 1093, 279, 2539, 3245, 315, 430, 13, 1102, 596, 1120, 16682, 13, 358, 1541, 956, 1440, 13, 128003, 128005, 1163, 1500, 1318, 1295, 347, 1314, 1439, 1018, 1502, 903, 806, 1368, 780, 1002, 595, 665, 1022, 1261, 1058, 1393, 639, 1086, 346, 1041, 411, 1235, 1256, 1542, 1217, 1521, 719, 1332, 1431, 736, 1470, 1796, 239, 1758, 1636, 1278, 1707, 1642, 1512, 691, 585, 423, 651, 666, 555, 1348, 704, 301, 862, 704, 1142, 686, 712, 1007, 694, 680, 325, 766, 555, 1536, 712, 1007, 694, 1142, 1474, 766, 513, 1016, 584, 591, 1536, 799, 1293, 704, 513, 274, 584, 933, 325, 939, 1419, 704, 516, 862, 712, 799, 862, 680, 1419, 1601, 762, 1128, 1154, 1824, 841, 532, 1494, 1135, 79, 39, 514, 725, 498, 146, 83, 1374, 300, 550, 1554, 979, 737, 1491, 1235, 664, 228, 422, 205, 76, 997, 700, 1235, 1351, 665, 798, 107, 614, 13, 375, 1455, 1235, 759, 467, 113, 789, 1735, 884, 1567, 867, 1580, 852, 784, 1290, 867, 867, 1305, 607, 1235, 88, 725, 76, 1649, 587, 1268, 1789, 1475, 717, 795, 724, 712, 862, 712, 933, 1154, 470, 680, 1378, 1520, 1645, 917, 856, 1286, 1689, 881, 168, 316, 284, 674, 736, 330, 1081, 245, 170, 909, 277, 100, 152, 803, 270, 181, 170, 116, 55, 380, 49, 43, 703, 254, 700, 822, 1013, 774, 329, 339, 521, 339, 841, 637, 537, 79, 329, 550, 234, 346, 1357, 1631, 19, 1825, 790, 1429, 1794, 1337, 1200, 503, 137, 106, 127, 380, 1718, 22, 599, 1451, 599, 833, 1146, 371, 730, 302, 452, 1349, 543, 1030, 250, 231, 1011, 368, 874, 1756, 162, 361, 1336, 132, 560, 564, 110, 427, 529, 723, 1780, 1436, 1105, 642, 81, 364, 254, 181, 164, 326, 1366, 1226, 1011, 1088, 1097, 1521, 352, 1506, 243, 759, 500, 212, 112, 1350, 372, 1225, 493, 1082, 344, 1056, 1447, 329, 682, 648, 1366, 994, 1464, 10, 892, 1401, 170, 1487, 249, 1237, 545, 234, 282, 521, 125, 170, 783, 1691, 650, 486, 1074, 1486, 17, 1188, 1084, 1407, 642, 138, 236, 917, 1798, 1216, 1346, 117, 1495, 1777, 1349, 1305, 640, 1355, 1210, 297, 951, 664, 30, 571, 110, 47, 1066, 293, 1005, 1629, 1728, 1099, 1699, 788, 578, 636, 1393, 518, 816, 1031, 1651, 303, 1357, 689, 1500, 1008, 1680, 1212, 1187, 324, 1135, 816, 931, 1499, 1564, 1276, 1396, 1057, 19, 1689, 847, 518, 13, 181, 300, 497, 864, 537, 1119, 422, 665, 115, 1075, 170, 441, 254, 1066, 1700, 1125, 680, 1153, 1195, 566, 650, 1181, 1752, 1170, 799, 1036, 924, 1255, 872, 1033, 1225, 1074, 751, 1094, 1099, 1360, 383, 1010, 1024, 1012, 939, 849, 1028, 1658, 1094, 563, 724, 1322, 1109, 756, 775, 104, 96, 1008, 1633, 1565, 950, 1139, 1034, 640, 276, 1631, 335, 382, 1451, 96, 1034, 658, 946, 277, 430, 162, 877, 452, 1229, 1549, 375, 736, 202, 1342, 1496, 499, 1306, 1492, 829, 1812, 719, 828, 758, 1726, 735, 1494, 981, 1493, 1648, 970, 1478, 594, 1750, 405, 363, 378, 1049, 1052, 1648, 1222, 1093, 1421, 1605, 1403, 1690, 48, 605, 1168, 1636, 296, 1497, 648, 1139, 1445, 596, 1497, 57, 549, 1636, 96, 1160, 214, 236, 143, 940, 384, 679, 208, 277, 182, 152, 341, 1690, 604, 65, 877, 1178, 695, 1821, 467, 1163, 521, 1829, 1537, 560, 936, 1785, 1029, 717, 1092, 324, 1261, 638, 725, 1180, 1611, 978, 438, 1303, 139, 1128, 1227, 612, 1632, 627, 1142, 1205, 513, 1145, 661, 538, 1405, 939, 1419, 1707, 566, 1694, 578, 169, 1479, 950, 1262, 1760, 680, 1114, 691, 939, 957, 1293, 799, 1648, 696, 1007, 1648, 567, 957, 1255, 566, 1096, 1132, 1122, 547, 179, 125, 364, 88, 215, 521, 135, 1204, 321, 172, 590, 903, 522, 711, 536, 550, 116, 182, 790, 1787, 1161, 1680, 774, 270, 433, 520, 730, 1253, 1197, 1056, 215, 354, 1802, 827, 721, 636, 1171, 763, 1036, 638, 516, 1079, 538, 1293, 544, 516, 704, 676, 891, 666, 447, 928, 1589, 712, 1644, 301, 257, 1639, 630, 1284, 1033, 401, 1654, 566, 1338, 1284, 1385, 1145, 185, 165, 453, 244, 128011, 128001 ]
[ 128000, 128002, 40, 4691, 37373, 422, 568, 7020, 889, 358, 574, 1566, 3814, 13, 128003, 128005, 1498, 346, 186, 192, 146, 466, 181, 162, 610, 228, 300, 73, 100, 88, 687, 609, 1524, 581, 1310, 882, 794, 1773, 1018, 1040, 1781, 1175, 1211, 1322, 495, 1096, 1139, 1059, 1777, 400, 1787, 181, 985, 197, 245, 1827, 162, 1649, 380, 1755, 384, 318, 1013, 911, 1170, 1517, 1041, 9, 270, 579, 709, 284, 929, 445, 421, 1453, 940, 382, 1686, 276, 1412, 1607, 1018, 1396, 700, 940, 532, 380, 1342, 358, 1005, 211, 844, 644, 1593, 1492, 109, 1415, 783, 126, 63, 557, 1357, 1407, 1178, 352, 1630, 300, 411, 788, 697, 1767, 860, 974, 1670, 998, 1685, 424, 1635, 860, 518, 1826, 412, 105, 1588, 371, 291, 1796, 1160, 1751, 714, 0, 1711, 1325, 818, 1756, 777, 1753, 934, 1457, 907, 1078, 1232, 79, 1309, 969, 547, 1213, 860, 1303, 1788, 1018, 117, 1583, 943, 781, 1215, 1631, 1167, 1500, 626, 1807, 408, 1397, 825, 1256, 1277, 412, 924, 628, 901, 1289, 479, 1367, 1663, 104, 1328, 899, 1029, 1294, 1370, 1367, 1464, 608, 1065, 1713, 707, 1392, 1039, 1308, 881, 1015, 833, 1493, 454, 1144, 1494, 1073, 65, 755, 395, 471, 362, 1761, 1389, 599, 1468, 1308, 549, 940, 595, 320, 1382, 592, 863, 1342, 328, 1238, 1649, 753, 1509, 192, 909, 321, 1002, 1324, 1492, 1001, 1158, 1395, 1089, 1493, 1496, 1745, 933, 1130, 1324, 974, 1804, 1397, 674, 661, 1213, 624, 1628, 1380, 1144, 423, 301, 1176, 710, 923, 325, 585, 1380, 1244, 513, 1293, 686, 627, 325, 584, 923, 1244, 624, 1121, 1683, 1453, 1743, 1305, 1253, 1588, 1553, 1130, 1690, 1780, 1766, 1771, 1306, 639, 735, 1367, 1745, 1144, 1313, 1493, 378, 1393, 1138, 523, 1028, 1731, 490, 1776, 921, 601, 1333, 174, 924, 1301, 673, 1211, 900, 334, 967, 548, 964, 1268, 1648, 612, 165, 244, 244, 128011, 128001 ]
[ 128000, 128002, 1687, 2216, 527, 13, 2030, 430, 596, 1148, 11, 430, 596, 1057, 11, 499, 1440, 1148, 11, 17339, 11, 358, 2846, 16926, 1203, 709, 311, 264, 2697, 2766, 2555, 1093, 19662, 1618, 13, 128003, 128005, 724, 199, 1255, 1297, 792, 1320, 1378, 966, 388, 1013, 1431, 1517, 1408, 767, 349, 1087, 539, 162, 1253, 539, 577, 232, 1234, 593, 794, 595, 662, 170, 860, 158, 190, 408, 352, 51, 711, 816, 996, 1191, 13, 985, 79, 228, 48, 543, 537, 1708, 270, 1014, 1056, 1475, 412, 1324, 1224, 628, 1213, 973, 741, 1137, 1771, 1256, 717, 1680, 847, 1213, 1526, 1164, 316, 620, 964, 509, 933, 1819, 868, 128, 43, 961, 170, 53, 384, 271, 1614, 1797, 1683, 361, 65, 25, 1372, 1709, 1589, 1512, 422, 589, 324, 386, 524, 100, 186, 1381, 1651, 1429, 895, 292, 1519, 1382, 1126, 657, 1498, 95, 1175, 1106, 1570, 1621, 1542, 228, 475, 678, 100, 25, 700, 170, 1511, 1819, 1105, 1648, 1091, 26, 277, 705, 170, 412, 252, 192, 218, 764, 364, 642, 632, 218, 1492, 157, 352, 1581, 499, 1424, 1628, 1125, 469, 1164, 1223, 287, 1059, 1096, 1760, 1484, 984, 1490, 1420, 1076, 1373, 1211, 717, 1813, 1751, 1378, 1588, 1385, 1049, 1313, 1076, 1727, 929, 963, 751, 1038, 1384, 1308, 0, 1417, 745, 1311, 1164, 1170, 752, 999, 655, 1246, 1099, 40, 1425, 1121, 932, 1120, 1131, 1007, 924, 40, 387, 1185, 449, 820, 548, 939, 1244, 651, 862, 423, 651, 1359, 832, 1696, 434, 1783, 137, 1497, 208, 181, 1280, 1752, 170, 106, 239, 371, 215, 192, 637, 1240, 200, 994, 137, 140, 903, 170, 524, 110, 162, 560, 13, 186, 1086, 1175, 1177, 866, 1029, 1475, 1752, 1129, 1213, 1776, 1317, 1478, 1036, 967, 1430, 1216, 981, 1367, 1265, 679, 547, 491, 433, 39, 197, 895, 301, 1099, 558, 1372, 931, 39, 228, 376, 340, 81, 1680, 330, 757, 1139, 386, 1701, 309, 83, 678, 386, 363, 1345, 1749, 25, 1406, 228, 816, 39, 790, 1784, 1011, 1211, 41, 254, 115, 113, 65, 102, 768, 146, 79, 135, 1147, 719, 1098, 334, 1053, 926, 868, 370, 723, 759, 1077, 1236, 1090, 984, 578, 1714, 1571, 471, 1511, 557, 1409, 1259, 1801, 128, 429, 1782, 1278, 720, 1465, 1113, 1517, 1792, 1056, 1055, 1603, 1073, 252, 126, 1073, 571, 648, 1447, 836, 128, 741, 47, 1686, 1467, 1638, 547, 491, 1542, 800, 751, 1528, 1568, 1375, 335, 1528, 1743, 441, 475, 314, 999, 1435, 1804, 604, 248, 1584, 434, 1055, 1011, 1411, 490, 1256, 378, 1697, 1128, 1598, 788, 1183, 1801, 1412, 1517, 1654, 1146, 1033, 1806, 1158, 1743, 424, 1833, 164, 644, 330, 1123, 1694, 1116, 66, 1589, 1051, 381, 902, 259, 465, 1432, 1700, 24, 1498, 945, 833, 1313, 945, 1082, 1511, 382, 1291, 1672, 743, 651, 837, 1314, 1501, 93, 618, 191, 63, 55, 940, 461, 1258, 400, 1218, 1721, 1012, 845, 685, 1656, 644, 318, 1435, 711, 901, 1042, 270, 931, 996, 218, 730, 503, 521, 1801, 1730, 1276, 272, 1164, 1378, 933, 1282, 453, 165, 244, 244, 128011, 128001 ]
[ 128000, 128002, 6107, 11, 1664, 11, 323, 1518, 11, 430, 596, 1120, 433, 13, 578, 1648, 358, 1427, 520, 433, 374, 11, 584, 1051, 7060, 2085, 3280, 16609, 11, 499, 1440, 11, 1148, 11, 4848, 1667, 4227, 11, 4330, 1667, 4227, 11, 584, 3287, 956, 2216, 617, 1124, 430, 1790, 13, 128003, 128005, 1104, 1189, 1336, 1107, 109, 856, 1281, 1629, 1300, 665, 611, 575, 65, 407, 371, 475, 367, 212, 205, 380, 110, 79, 2, 125, 483, 113, 1407, 499, 1232, 901, 65, 1620, 1332, 794, 549, 806, 1030, 137, 847, 730, 243, 386, 374, 2, 441, 1113, 236, 67, 791, 779, 664, 1622, 1355, 1367, 718, 218, 721, 300, 642, 1275, 1180, 274, 670, 924, 266, 168, 630, 1373, 270, 25, 708, 254, 186, 1662, 430, 792, 768, 1677, 1645, 919, 404, 1580, 1217, 1720, 1264, 1304, 537, 1330, 502, 96, 697, 1301, 781, 852, 1393, 637, 364, 228, 467, 146, 236, 671, 1422, 1098, 1701, 570, 911, 639, 26, 582, 1710, 1718, 1806, 1739, 1419, 627, 785, 1782, 113, 1353, 170, 1047, 170, 664, 1296, 1331, 1623, 927, 1027, 1364, 592, 833, 434, 1434, 81, 894, 74, 522, 1492, 368, 178, 788, 1270, 1035, 888, 1040, 1218, 380, 658, 575, 87, 2, 577, 380, 757, 1773, 1171, 967, 999, 1268, 1322, 1098, 845, 1730, 1297, 1369, 479, 186, 690, 1566, 844, 1115, 51, 1087, 100, 146, 1330, 162, 170, 721, 346, 270, 218, 569, 422, 371, 330, 300, 93, 39, 221, 132, 218, 977, 647, 128, 951, 125, 100, 907, 1620, 1029, 724, 726, 1395, 579, 411, 324, 232, 791, 757, 83, 521, 1018, 780, 1075, 462, 113, 96, 1247, 225, 128, 595, 1322, 689, 1275, 1259, 1041, 1253, 100, 74, 289, 388, 892, 292, 1173, 1345, 1240, 1733, 927, 1287, 639, 1161, 1649, 1382, 1439, 1720, 1777, 1730, 1648, 1028, 516, 751, 885, 229, 676, 978, 681, 1812, 843, 564, 1391, 1312, 773, 269, 1596, 1342, 653, 1353, 1526, 1167, 756, 1097, 430, 95, 211, 39, 326, 1555, 872, 1405, 1088, 938, 1528, 755, 699, 107, 282, 958, 969, 441, 411, 695, 1161, 366, 1186, 514, 135, 1006, 65, 1792, 412, 1771, 192, 723, 536, 375, 1361, 1244, 1146, 1075, 855, 2, 43, 82, 102, 768, 245, 498, 532, 113, 621, 1350, 1253, 1289, 1057, 1329, 1035, 400, 1250, 767, 746, 1795, 985, 1389, 753, 596, 1520, 637, 1221, 1081, 1088, 1410, 1777, 985, 1794, 1415, 1253, 1365, 519, 1372, 1662, 1649, 1234, 1621, 1214, 1262, 1104, 1051, 1306, 1171, 1731, 664, 53, 1005, 300, 115, 1280, 595, 147, 730, 1212, 164, 359, 1795, 1029, 1815, 1342, 1027, 1528, 782, 701, 1646, 1256, 1344, 395, 738, 1088, 1638, 1056, 647, 1646, 1005, 1526, 639, 1332, 639, 1217, 1524, 519, 1018, 1781, 1238, 990, 1565, 1139, 701, 1631, 454, 1035, 821, 527, 1303, 1035, 1720, 1294, 677, 1096, 1660, 979, 397, 759, 1502, 528, 1256, 738, 434, 221, 1506, 370, 992, 1221, 1044, 1596, 1222, 29, 978, 376, 1211, 1123, 1479, 915, 31, 837, 967, 1816, 1167, 1602, 424, 1593, 642, 613, 903, 552, 324, 1106, 1407, 1143, 31, 1404, 1227, 643, 1361, 229, 670, 1306, 981, 919, 1393, 676, 1024, 1154, 766, 869, 651, 1244, 247, 516, 1151, 627, 582, 1039, 1383, 103, 1573, 640, 485, 1583, 889, 821, 1714, 1110, 825, 2, 104, 834, 549, 1433, 459, 1170, 1067, 512, 863, 1334, 746, 1130, 1506, 1002, 558, 1365, 945, 375, 312, 940, 297, 217, 138, 1004, 577, 1041, 1685, 889, 1651, 1069, 868, 1341, 330, 1012, 1453, 1400, 1493, 466, 157, 1206, 65, 609, 306, 65, 571, 524, 759, 1066, 775, 1075, 491, 1533, 102, 455, 774, 588, 872, 1215, 1078, 79, 506, 1139, 993, 1268, 454, 1109, 1665, 1238, 1275, 1746, 1742, 845, 821, 933, 823, 1104, 1179, 1102, 1264, 1129, 550, 613, 1404, 1029, 107, 462, 901, 1031, 727, 1370, 1093, 1526, 985, 1218, 985, 1429, 1330, 407, 1647, 1729, 1002, 1785, 993, 1699, 1715, 687, 575, 455, 1351, 1165, 1776, 1391, 952, 57, 506, 639, 808, 1818, 783, 1013, 993, 1801, 931, 607, 1084, 1292, 1671, 994, 751, 1498, 894, 1821, 1206, 518, 1396, 1259, 93, 803, 833, 349, 600, 938, 999, 1291, 1311, 1153, 571, 569, 1511, 300, 82, 1758, 711, 82, 1491, 1519, 1077, 898, 1404, 1170, 1787, 1272, 1357, 1094, 1279, 1775, 1286, 73, 998, 1282, 874, 215, 518, 1720, 1117, 642, 291, 1793, 872, 1251, 1717, 1827, 840, 1141, 880, 1086, 794, 236, 553, 983, 570, 1132, 1607, 1121, 950, 434, 1325, 356, 535, 1730, 318, 1367, 1430, 726, 1003, 454, 1305, 165, 165, 453, 244, 128011, 128001 ]
[ 128000, 128002, 1687, 649, 387, 7060, 2085, 1124, 1578, 13, 4702, 4984, 279, 70752, 2262, 439, 433, 596, 6004, 13, 1226, 3358, 2343, 369, 433, 13, 1472, 1440, 11, 358, 11, 358, 11, 358, 2846, 14931, 11, 358, 1120, 11, 358, 617, 264, 2763, 315, 4360, 12798, 400, 51464, 1919, 369, 264, 1847, 13, 128003, 128005, 838, 762, 1648, 1716, 1193, 1520, 916, 1509, 1606, 1421, 1696, 1192, 1723, 1604, 1079, 1626, 1815, 967, 1582, 1252, 1273, 1483, 1063, 1118, 1366, 1497, 1267, 1426, 1466, 1156, 292, 1607, 162, 67, 856, 631, 1212, 1650, 796, 1683, 788, 517, 1631, 375, 894, 682, 358, 716, 158, 759, 1750, 796, 796, 831, 1399, 1708, 540, 512, 945, 57, 104, 945, 276, 1342, 383, 898, 1662, 833, 1573, 980, 1651, 1119, 192, 162, 173, 433, 422, 370, 375, 299, 547, 36, 152, 205, 181, 358, 1427, 439, 412, 1818, 769, 1235, 575, 212, 467, 428, 1436, 1768, 1407, 359, 107, 270, 370, 270, 324, 271, 146, 370, 547, 725, 642, 600, 1751, 1188, 603, 719, 1222, 1127, 1029, 1620, 510, 1081, 1708, 715, 1193, 711, 282, 443, 1502, 1012, 171, 431, 1801, 1457, 104, 642, 43, 579, 573, 254, 537, 212, 1494, 535, 1032, 1411, 19, 727, 1074, 1357, 1652, 1098, 322, 1205, 1108, 643, 1116, 638, 976, 1098, 331, 1170, 1397, 1142, 1164, 396, 584, 685, 1627, 1241, 302, 79, 791, 1136, 577, 1344, 1653, 592, 1638, 767, 1031, 1745, 1110, 1068, 834, 234, 376, 243, 1073, 1075, 1366, 1378, 127, 1426, 1733, 1240, 1633, 1004, 245, 245, 1336, 135, 1497, 1175, 329, 983, 1663, 543, 1411, 1175, 454, 1786, 556, 344, 1687, 802, 896, 1635, 1278, 115, 564, 725, 914, 121, 297, 282, 411, 100, 1122, 138, 186, 718, 155, 208, 497, 182, 430, 1224, 225, 753, 687, 632, 575, 36, 286, 346, 492, 455, 428, 944, 690, 500, 1171, 941, 920, 1391, 443, 320, 757, 243, 610, 500, 1259, 1425, 1774, 1067, 1601, 499, 1517, 1150, 1030, 1002, 498, 777, 125, 142, 860, 452, 463, 841, 688, 1332, 1219, 1807, 1099, 1092, 383, 871, 302, 790, 366, 806, 252, 364, 178, 1074, 747, 1473, 1256, 538, 878, 1378, 516, 1031, 1455, 816, 1196, 347, 393, 614, 1261, 535, 665, 152, 291, 901, 1029, 1399, 320, 203, 1581, 1342, 1331, 1431, 794, 1166, 944, 629, 1698, 1611, 649, 1009, 1379, 1270, 296, 1793, 1110, 617, 637, 935, 51, 1087, 217, 631, 1298, 738, 1497, 965, 1748, 1303, 1794, 218, 182, 310, 979, 1313, 767, 282, 312, 1400, 947, 1127, 1468, 493, 495, 889, 1688, 1436, 1061, 1565, 1, 750, 1631, 527, 1343, 1228, 849, 1714, 833, 1116, 795, 1009, 1199, 820, 1128, 630, 1585, 696, 334, 1037, 470, 1279, 594, 1814, 732, 1803, 988, 1717, 354, 1575, 1113, 590, 1756, 1193, 1246, 1668, 77, 630, 924, 1622, 1298, 1275, 907, 549, 841, 282, 96, 931, 211, 200, 245, 1036, 853, 715, 1648, 1120, 1082, 1343, 1313, 996, 1140, 413, 529, 570, 816, 439, 13, 536, 1504, 947, 1065, 28, 335, 1427, 376, 245, 517, 1591, 753, 422, 217, 146, 113, 248, 1083, 872, 1333, 1465, 1101, 1070, 19, 1316, 805, 800, 1033, 1735, 1031, 751, 1259, 1197, 1501, 19, 1227, 265, 1064, 259, 1328, 1107, 1086, 270, 282, 757, 100, 1001, 521, 330, 1173, 1100, 1344, 537, 1119, 152, 371, 614, 100, 829, 790, 1053, 1174, 1252, 324, 164, 836, 43, 1237, 234, 790, 653, 1241, 1241, 485, 382, 865, 231, 1147, 76, 228, 874, 254, 146, 297, 254, 170, 1127, 321, 522, 1517, 1820, 300, 565, 789, 100, 43, 972, 137, 1649, 1798, 400, 254, 1308, 203, 245, 1439, 1270, 1018, 1737, 1370, 1688, 1037, 1215, 1360, 724, 820, 923, 933, 1011, 513, 1362, 799, 1010, 666, 301, 438, 899, 555, 1385, 584, 964, 1255, 316, 1505, 393, 660, 95, 135, 104, 730, 100, 1494, 1368, 543, 1680, 1053, 499, 1813, 349, 1111, 595, 140, 926, 146, 818, 1753, 1003, 1427, 1468, 106, 1645, 228, 1180, 234, 129, 718, 1069, 1660, 485, 1141, 439, 536, 1350, 637, 699, 55, 402, 723, 607, 208, 1192, 170, 1100, 298, 113, 600, 547, 346, 486, 832, 1012, 861, 128, 1257, 162, 201, 856, 789, 892, 245, 1459, 18, 172, 1439, 181, 1182, 1646, 96, 1313, 1690, 499, 593, 1078, 943, 719, 1258, 583, 1724, 1067, 643, 726, 1098, 1767, 1029, 1301, 1036, 1160, 600, 65, 858, 1113, 357, 1412, 741, 335, 1420, 687, 117, 1708, 882, 825, 1490, 1329, 1741, 767, 1018, 888, 884, 746, 901, 1083, 172, 1286, 17, 1230, 1803, 1687, 943, 1664, 1343, 669, 896, 434, 1716, 790, 1226, 807, 689, 1779, 1736, 330, 697, 125, 205, 248, 969, 697, 408, 725, 956, 547, 665, 1330, 128, 860, 48, 1345, 1314, 533, 382, 1822, 780, 878, 1225, 1074, 86, 1200, 1156, 1336, 860, 63, 214, 1078, 1438, 837, 857, 251, 999, 878, 1341, 1272, 926, 558, 1057, 860, 521, 1218, 528, 347, 730, 1686, 773, 1212, 730, 1622, 1094, 1682, 779, 1797, 1031, 272, 669, 1121, 89, 837, 516, 1228, 769, 1665, 185, 165, 453, 219, 128011, 128001 ]
[ 128000, 128002, 1966, 1948, 315, 10374, 2500, 11, 2019, 11, 1268, 1790, 374, 433, 30, 36498, 477, 17510, 30, 27219, 13, 27219, 30, 36539, 13, 128003, 128005, 902, 681, 929, 717, 762, 1479, 676, 1805, 274, 351, 1348, 9, 497, 92, 157, 173, 200, 243, 571, 152, 140, 825, 170, 1402, 234, 1241, 564, 596, 771, 1588, 1391, 1157, 1034, 581, 1088, 499, 1739, 1088, 1278, 364, 82, 1056, 170, 173, 983, 138, 723, 549, 25, 997, 658, 115, 1218, 1457, 1481, 1037, 1314, 1760, 1005, 1369, 560, 998, 682, 1247, 1220, 1674, 1160, 1671, 634, 581, 1741, 440, 347, 1699, 689, 724, 1822, 1044, 374, 300, 522, 806, 297, 371, 326, 0, 1436, 1049, 1009, 1389, 1353, 430, 657, 870, 1436, 1189, 1175, 1347, 1174, 570, 1271, 349, 1810, 1339, 1056, 1141, 467, 65, 642, 138, 764, 1650, 1546, 913, 29, 658, 626, 844, 1484, 1149, 346, 127, 182, 192, 503, 1743, 1041, 735, 1073, 843, 624, 1226, 470, 1556, 1499, 396, 1774, 1131, 1294, 58, 984, 1500, 1421, 612, 772, 674, 301, 1208, 832, 1144, 1455, 732, 1421, 1504, 1213, 1489, 259, 1118, 1486, 523, 1793, 655, 601, 1721, 651, 704, 465, 891, 1362, 585, 121, 862, 624, 633, 1694, 17, 778, 1168, 1383, 634, 1354, 919, 1770, 1256, 741, 618, 157, 520, 1002, 605, 1351, 100, 125, 1008, 605, 1391, 400, 514, 814, 726, 1187, 1478, 1101, 1301, 1036, 1324, 1414, 1089, 1187, 816, 370, 306, 579, 1129, 41, 764, 1435, 1462, 1355, 1357, 1136, 951, 931, 537, 589, 514, 882, 400, 1469, 65, 1275, 228, 937, 43, 1155, 1753, 1098, 1707, 232, 318, 1451, 364, 1780, 110, 1310, 1757, 6, 1492, 1335, 254, 574, 388, 1110, 1301, 1665, 1059, 1255, 1175, 1343, 640, 1297, 1055, 1753, 1169, 1069, 1778, 977, 205, 1487, 1100, 715, 1716, 530, 400, 913, 920, 305, 1799, 753, 570, 1663, 400, 648, 575, 1666, 1040, 832, 1206, 1803, 1733, 349, 1629, 1492, 1821, 1140, 1700, 1201, 1372, 868, 475, 629, 1776, 1230, 1187, 178, 1012, 1019, 631, 1309, 1608, 796, 1007, 399, 1050, 1390, 1573, 460, 1601, 964, 567, 1479, 1634, 1189, 1424, 555, 813, 1117, 223, 1150, 1206, 1205, 638, 1045, 842, 861, 905, 1279, 1137, 684, 812, 1683, 1829, 1028, 250, 1016, 578, 287, 1824, 1206, 225, 1828, 1395, 303, 583, 1823, 1088, 521, 439, 1817, 999, 1780, 218, 1212, 700, 315, 1742, 631, 318, 1490, 1791, 1164, 5, 821, 971, 900, 1208, 908, 1099, 1272, 252, 575, 1015, 1041, 1301, 1669, 1121, 633, 855, 1110, 358, 267, 719, 179, 1421, 1155, 570, 1154, 680, 1188, 1070, 1099, 1098, 1010, 156, 165, 453, 244, 128011, 128001 ]
[ 128000, 128002, 10031, 11, 358, 1541, 956, 1781, 779, 3582, 13, 358, 1781, 433, 596, 16926, 636, 11201, 13, 9393, 11, 1606, 499, 2351, 1314, 389, 279, 2144, 315, 864, 24747, 287, 3169, 315, 83222, 2785, 3201, 304, 3878, 315, 279, 11, 44844, 11, 279, 7528, 31572, 323, 6392, 1093, 430, 10671, 810, 9959, 13, 2030, 279, 2144, 430, 11, 577, 35401, 11, 128003, 128005, 1118, 1061, 1588, 307, 901, 1792, 1661, 1056, 1004, 502, 901, 1633, 599, 1424, 1241, 206, 1493, 775, 1372, 430, 43, 1102, 186, 1075, 157, 632, 1075, 140, 764, 1089, 239, 102, 1038, 179, 961, 405, 9, 1753, 987, 680, 984, 630, 435, 630, 724, 131, 1304, 1111, 384, 460, 537, 1701, 149, 879, 637, 1604, 371, 471, 1450, 430, 767, 28, 886, 84, 1814, 179, 475, 63, 100, 1155, 293, 1410, 1706, 483, 364, 352, 483, 1247, 236, 225, 1272, 589, 1799, 1714, 1803, 955, 446, 339, 104, 135, 839, 205, 640, 1525, 1074, 1422, 113, 966, 989, 581, 1698, 1240, 143, 123, 537, 1429, 1400, 1743, 1419, 372, 117, 1395, 948, 1421, 1088, 254, 617, 1457, 49, 987, 117, 110, 911, 427, 962, 1621, 1407, 499, 491, 547, 1005, 1264, 774, 1150, 1829, 1556, 1683, 1710, 965, 987, 838, 1432, 994, 568, 1817, 1167, 1406, 1679, 1435, 433, 1167, 2, 384, 441, 138, 1221, 76, 898, 214, 1089, 1505, 712, 1143, 1771, 400, 1098, 1057, 782, 1375, 1400, 454, 1451, 178, 788, 1496, 1082, 1215, 1364, 962, 1375, 1139, 750, 1104, 308, 1170, 1024, 1009, 676, 865, 1168, 696, 1134, 1385, 995, 650, 727, 1012, 19, 957, 948, 1185, 1665, 650, 486, 1050, 1154, 68, 431, 751, 1568, 1331, 952, 135, 1468, 143, 24, 1758, 719, 383, 1473, 493, 87, 1629, 170, 1335, 170, 825, 47, 822, 1772, 570, 1300, 1710, 687, 1795, 1303, 1532, 585, 1313, 666, 555, 1292, 792, 810, 1809, 1249, 1240, 96, 1444, 137, 1160, 1493, 1334, 924, 1719, 517, 1129, 800, 1180, 1755, 382, 868, 926, 422, 84, 87, 768, 1395, 43, 1312, 719, 1261, 1808, 375, 1636, 1300, 901, 1468, 493, 1166, 639, 493, 1382, 640, 28, 1760, 495, 1825, 1033, 1565, 1079, 1665, 1639, 627, 669, 378, 316, 837, 1373, 1791, 919, 1025, 1558, 1034, 1778, 162, 803, 146, 503, 47, 904, 1221, 671, 1698, 1289, 212, 580, 479, 100, 422, 621, 270, 321, 678, 243, 376, 1126, 1182, 697, 514, 422, 191, 983, 932, 231, 318, 810, 270, 497, 192, 498, 1716, 1802, 872, 820, 947, 1739, 248, 1443, 146, 370, 757, 162, 565, 588, 384, 1320, 891, 960, 1714, 1821, 1135, 703, 1272, 1224, 1233, 1116, 970, 795, 1154, 336, 1367, 1817, 1160, 1036, 1359, 947, 1404, 58, 9, 742, 768, 1542, 952, 452, 1019, 110, 1426, 1317, 599, 955, 472, 112, 536, 79, 388, 1042, 324, 1447, 1591, 1136, 536, 944, 1462, 1690, 102, 363, 522, 972, 1057, 874, 1408, 581, 1630, 979, 970, 1011, 1611, 1437, 463, 1803, 1797, 1204, 1089, 115, 621, 979, 299, 653, 685, 1100, 1792, 172, 757, 788, 1367, 336, 1064, 355, 1638, 1125, 965, 381, 1820, 590, 1163, 827, 629, 1379, 382, 814, 1028, 1170, 60, 1571, 797, 1083, 1439, 664, 1019, 1769, 497, 1406, 1005, 779, 1225, 1097, 5, 1034, 953, 1519, 1115, 1466, 477, 1776, 1044, 1729, 523, 1625, 513, 225, 1814, 291, 1795, 569, 1667, 446, 735, 179, 1418, 179, 1721, 324, 1007, 113, 1021, 1389, 599, 1043, 591, 1225, 845, 1036, 1012, 845, 1379, 1279, 1114, 993, 516, 1104, 1153, 513, 726, 1108, 1589, 993, 1092, 1050, 1130, 1071, 837, 717, 630, 1120, 1150, 1457, 782, 868, 162, 927, 1056, 858, 1787, 1075, 1410, 1249, 546, 522, 0, 517, 1385, 1324, 477, 657, 324, 1520, 1308, 868, 214, 892, 225, 1811, 347, 1123, 1259, 1351, 1444, 1596, 1160, 1535, 202, 1287, 782, 705, 1698, 1212, 860, 557, 1660, 339, 803, 1797, 1317, 1233, 1188, 1453, 1677, 1466, 1784, 0, 1556, 1792, 1104, 1311, 1543, 1130, 776, 1302, 1144, 1266, 1028, 437, 694, 1064, 91, 837, 900, 1009, 1263, 736, 517, 191, 1679, 605, 966, 1709, 296, 969, 1624, 517, 1069, 962, 595, 1715, 769, 1323, 802, 411, 1737, 764, 1373, 402, 1291, 364, 1304, 412, 1378, 422, 1316, 321, 1282, 934, 755, 1275, 412, 1172, 1032, 1455, 1089, 655, 1720, 1209, 1504, 1261, 916, 1632, 1154, 21, 1306, 803, 1139, 371, 557, 895, 924, 603, 930, 1496, 682, 1272, 318, 384, 553, 127, 383, 1716, 328, 499, 502, 371, 961, 1710, 1012, 1791, 13, 730, 112, 500, 1136, 234, 529, 997, 500, 1351, 664, 508, 1132, 158, 1374, 610, 1566, 1119, 853, 1729, 1209, 1595, 1795, 168, 1713, 1154, 601, 1465, 630, 1478, 281, 923, 1601, 692, 513, 1327, 121, 939, 869, 174, 501, 1412, 36, 112, 656, 383, 552, 1806, 1098, 601, 1153, 1317, 1185, 1147, 801, 1447, 1125, 813, 1461, 1064, 144, 885, 1684, 940, 105, 844, 522, 179, 374, 1005, 791, 321, 116, 1075, 1072, 1607, 759, 1493, 1533, 1426, 1312, 682, 1107, 892, 844, 711, 557, 341, 983, 1698, 512, 1199, 1747, 999, 1778, 1235, 1335, 917, 940, 1427, 1415, 1403, 1794, 527, 990, 1627, 1823, 985, 492, 488, 321, 536, 1516, 1113, 341, 759, 359, 1718, 726, 458, 1358, 777, 422, 2, 466, 138, 934, 954, 1050, 971, 1138, 993, 1129, 932, 689, 1211, 980, 1314, 1541, 991, 988, 878, 1212, 877, 1675, 773, 1263, 1219, 773, 1492, 1084, 849, 855, 1771, 934, 1234, 408, 449, 1812, 1079, 258, 1432, 1806, 883, 1314, 248, 1780, 186, 737, 847, 613, 639, 82, 1299, 1624, 411, 312, 1004, 1066, 79, 1173, 1605, 1649, 1347, 539, 104, 215, 706, 1056, 1310, 1833, 1136, 449, 1687, 1316, 336, 1316, 1065, 336, 650, 905, 976, 1125, 406, 1012, 1309, 933, 650, 1096, 1168, 1116, 727, 1094, 1079, 995, 650, 681, 1134, 1054, 1262, 993, 516, 1128, 1216, 171, 1279, 981, 555, 1428, 523, 301, 578, 1536, 384, 642, 539, 170, 1058, 520, 320, 1498, 1063, 1447, 1003, 1003, 1054, 1070, 1481, 1038, 336, 1067, 470, 981, 1316, 144, 869, 735, 601, 1016, 1248, 1118, 1273, 954, 1211, 1293, 555, 387, 676, 513, 672, 729, 1390, 1738, 1712, 371, 429, 433, 452, 1766, 1789, 499, 1752, 400, 999, 1039, 822, 1140, 1206, 25, 1124, 228, 1186, 170, 887, 300, 254, 664, 212, 550, 324, 790, 338, 1088, 1160, 1079, 1125, 1321, 1043, 1098, 31, 1067, 1638, 471, 782, 1114, 976, 1707, 513, 785, 933, 513, 694, 513, 1011, 766, 627, 1284, 712, 899, 1474, 555, 1293, 704, 1142, 426, 712, 1142, 686, 624, 1536, 704, 680, 325, 513, 1248, 620, 301, 1011, 704, 301, 1474, 986, 1248, 694, 555, 387, 1037, 776, 1153, 1384, 1768, 1104, 1350, 364, 491, 152, 162, 791, 393, 393, 370, 461, 159, 756, 271, 614, 346, 260, 483, 172, 1086, 535, 1171, 1308, 364, 1758, 1074, 1556, 1211, 1040, 334, 1099, 1067, 624, 1164, 229, 337, 661, 396, 1016, 377, 939, 274, 247, 795, 862, 406, 1536, 766, 1142, 325, 680, 805, 686, 513, 1293, 584, 585, 1793, 513, 692, 964, 1071, 1001, 547, 142, 125, 270, 215, 293, 271, 868, 579, 1173, 128, 142, 557, 1794, 800, 408, 1249, 947, 1196, 1722, 1029, 5, 944, 936, 1794, 1438, 1684, 1342, 1251, 28, 1781, 1285, 823, 1767, 1719, 852, 449, 649, 976, 1279, 1654, 219, 165, 453, 219, 128011, 128001 ]

[ 128000, 128002, 2675, 649, 1520, 856, 6691, 323, 499, 12, 2360, 13, 1472, 3287, 956, 5387, 264, 3958, 6671, 1203, 2162, 311, 636, 10791, 709, 304, 2500, 832, 1618, 13, 3639, 7077, 311, 499, 11, 9853, 12167, 30, 128003, 128005, 426, 1595, 1789, 1322, 983, 1151, 1403, 41, 1728, 1151, 1658, 1634, 847, 1478, 286, 1051, 1204, 1459, 749, 740, 1760, 323, 1310, 1245, 117, 550, 1565, 918, 1680, 479, 1439, 1002, 232, 1698, 522, 1403, 996, 1344, 705, 76, 741, 997, 1426, 1799, 995, 1696, 1613, 1155, 523, 1456, 940, 1794, 1210, 1199, 236, 852, 687, 798, 724, 1783, 269, 1409, 1396, 1121, 931, 341, 1064, 467, 1727, 1693, 1308, 1297, 170, 1193, 773, 13, 13, 890, 1706, 1645, 1554, 1019, 709, 970, 1563, 1642, 1742, 753, 1499, 1250, 467, 1712, 1766, 1056, 125, 1462, 609, 390, 1314, 88, 1055, 408, 1046, 367, 1647, 1540, 1824, 1489, 1823, 1053, 1500, 1400, 1364, 1704, 1212, 1322, 1779, 1125, 1262, 1797, 1637, 954, 495, 625, 1771, 1687, 925, 1658, 1667, 505, 1823, 85, 1440, 1667, 625, 1684, 1703, 1299, 1805, 1693, 804, 1021, 1545, 783, 1753, 518, 1036, 669, 1032, 1732, 735, 1295, 1615, 1591, 211, 939, 1214, 197, 388, 1533, 455, 52, 48, 716, 1020, 1569, 877, 1328, 847, 557, 1810, 343, 385, 465, 1508, 1069, 1226, 254, 267, 989, 461, 390, 1361, 979, 390, 1226, 1382, 1406, 1634, 1571, 1660, 980, 1027, 1175, 1253, 1462, 759, 312, 1383, 1749, 1548, 889, 239, 232, 656, 1686, 1073, 738, 1753, 109, 516, 973, 280, 1450, 211, 878, 79, 810, 320, 558, 1468, 358, 1399, 1697, 1790, 807, 127, 131, 1503, 862, 744, 294, 81, 971, 210, 1279, 210, 1134, 972, 1631, 1514, 1269, 827, 1457, 1776, 1304, 1373, 616, 1133, 1086, 720, 1733, 564, 1604, 481, 1431, 694, 1520, 642, 1430, 893, 848, 34, 1759, 1451, 105, 512, 1472, 81, 896, 875, 1623, 1695, 1475, 1182, 1762, 1318, 1517, 73, 1198, 441, 373, 1259, 1243, 1708, 622, 1143, 518, 1713, 1413, 1377, 1832, 1655, 610, 1736, 1221, 851, 514, 1785, 565, 686, 520, 1777, 131, 98, 1802, 1274, 697, 1079, 248, 1223, 93, 1293, 1610, 1267, 1803, 998, 1047, 458, 98, 1545, 568, 644, 1304, 381, 514, 1298, 476, 877, 1387, 1593, 1404, 1334, 1509, 1786, 529, 1085, 737, 1519, 572, 79, 368, 1640, 1328, 1178, 134, 1188, 1412, 1321, 1188, 1782, 1185, 1282, 1413, 1458, 1832, 1231, 1735, 1672, 1346, 1741, 1369, 145, 1748, 755, 1467, 349, 1258, 1812, 1053, 1429, 948, 579, 1397, 382, 827, 1088, 579, 1831, 665, 443, 672, 147, 1204, 1223, 388, 1239, 544, 1722, 1465, 697, 1189, 796, 107, 1445, 1544, 1629, 1068, 562, 404, 404, 631, 1483, 1438, 129, 1308, 261, 1441, 673, 1573, 286, 974, 1049, 213, 1470, 80, 1731, 529, 663, 1761, 303, 562, 860, 1068, 1815, 775, 1614, 1724, 784, 1617, 1805, 1658, 741, 814, 1821, 587, 568, 1340, 250, 1588, 1019, 1262, 1335, 950, 361, 1500, 1234, 1166, 1049, 1407, 732, 1353, 1833, 1339, 1410, 1025, 1766, 1750, 1814, 28, 1688, 865, 415, 1552, 1376, 1529, 1802, 1592, 1717, 1817, 185, 165, 244, 244, 128011, 128001 ]

[ 128000, 128002, 98362, 596, 8208, 11, 17510, 78296, 2884, 13, 1630, 374, 16926, 6859, 603, 709, 323, 2231, 603, 389, 2204, 78296, 13, 578, 2128, 596, 2586, 323, 733, 11, 719, 17510, 19037, 11, 649, 956, 4510, 433, 596, 13696, 13, 128003, 128005, 1788, 1226, 1420, 1344, 973, 741, 411, 1647, 370, 467, 57, 134, 1591, 1626, 1674, 1759, 725, 1213, 635, 298, 698, 1350, 1439, 127, 1376, 295, 428, 1212, 1346, 1707, 1734, 1748, 730, 607, 1818, 1308, 1610, 1372, 1645, 961, 1251, 191, 1421, 374, 1739, 386, 1655, 297, 820, 1472, 1622, 1749, 702, 1803, 1595, 1572, 1799, 1288, 1419, 1749, 1740, 1403, 1253, 1369, 1671, 1748, 1624, 463, 1382, 1282, 1426, 1794, 1787, 1407, 326, 1828, 1426, 952, 1492, 1619, 1161, 98, 1175, 1723, 1374, 858, 319, 357, 452, 1241, 206, 1337, 1724, 1795, 1791, 1794, 475, 1469, 127, 1645, 1358, 679, 1272, 1326, 1332, 1247, 361, 1393, 1807, 1419, 1797, 848, 6, 510, 1769, 1806, 1298, 1473, 1485, 1056, 1350, 1422, 1344, 1097, 1180, 1761, 827, 1423, 1147, 1320, 1812, 1638, 1730, 1408, 1677, 1635, 1827, 1730, 1239, 1730, 1595, 17, 719, 776, 1631, 1410, 1706, 822, 1147, 1532, 107, 637, 1231, 1715, 1370, 1715, 512, 329, 1337, 245, 452, 1337, 467, 1633, 1790, 1460, 135, 790, 543, 1241, 1747, 1212, 1811, 467, 637, 1488, 1727, 1607, 286, 1700, 1068, 1434, 1344, 1757, 263, 375, 6, 100, 794, 254, 1310, 1747, 333, 1703, 1580, 1542, 1196, 1219, 192, 836, 1764, 733, 774, 13, 1790, 1762, 132, 135, 782, 46, 430, 18, 295, 996, 550, 1454, 973, 87, 1437, 1656, 192, 1807, 1508, 1829, 1747, 1450, 181, 1439, 1753, 1651, 1486, 1381, 1563, 1565, 1453, 1528, 1478, 1802, 1826, 1319, 1792, 1655, 1266, 1765, 1543, 761, 1826, 1348, 1157, 1779, 1655, 1382, 1658, 32, 1471, 514, 1680, 1704, 738, 848, 1088, 1394, 263, 844, 181, 218, 117, 774, 841, 1356, 1416, 1468, 1729, 416, 1267, 1734, 1524, 1709, 1278, 1042, 1484, 1823, 1606, 333, 1678, 1790, 1483, 1727, 203, 1798, 1779, 1676, 213, 181, 49, 366, 1519, 0, 1677, 1468, 1686, 679, 1680, 1452, 1462, 1827, 1331, 1647, 1418, 1324, 1731, 1556, 1462, 1346, 1458, 1790, 1513, 276, 1160, 230, 927, 1568, 549, 1411, 28, 1040, 957, 1681, 1739, 377, 1752, 1346, 1338, 1763, 1609, 162, 206, 1468, 1447, 1759, 1786, 592, 510, 333, 1247, 1427, 290, 1409, 556, 1572, 143, 257, 1444, 416, 1364, 1387, 135, 882, 1364, 1726, 1760, 1036, 1498, 809, 874, 475, 1823, 1388, 1566, 651, 815, 1286, 1388, 1830, 1062, 91, 1287, 1464, 875, 1646, 1006, 1221, 467, 1754, 575, 1073, 354, 1710, 492, 1782, 828, 361, 531, 738, 1426, 1315, 1635, 1623, 363, 1801, 1684, 1590, 1675, 1801, 770, 1372, 1495, 1285, 495, 343, 1684, 1704, 859, 1118, 1310, 175, 372, 1649, 975, 1770, 1084, 1301, 297, 1268, 632, 898, 1146, 1520, 716, 750, 1325, 363, 592, 1710, 335, 206, 416, 522, 1278, 1694, 736, 1704, 1541, 1433, 1240, 380, 461, 1156, 1124, 1494, 1002, 1471, 1109, 1245, 1814, 1683, 1230, 830, 1817, 758, 740, 1746, 1236, 1475, 1325, 1071, 1314, 1462, 923, 1282, 1348, 1380, 1412, 758, 1469, 1322, 377, 1689, 995, 625, 1812, 325, 1413, 1802, 1151, 1461, 1669, 740, 1760, 1628, 740, 1760, 1514, 1319, 1713, 1236, 1419, 1543, 954, 1639, 1269, 1262, 1724, 859, 1669, 1693, 1157, 1703, 1480, 1601, 1585, 1246, 1669, 1514, 1262, 1634, 1266, 862, 1628, 1480, 1747, 625, 1338, 1672, 1231, 1763, 1614, 1346, 1817, 1514, 591, 1747, 572, 1751, 1465, 1320, 596, 1721, 1819, 868, 1813, 422, 929, 1218, 127, 1248, 1575, 1717, 1606, 1647, 1622, 836, 1736, 414, 787, 1422, 1440, 422, 930, 1449, 1661, 256, 1446, 1661, 1819, 32, 725, 117, 1586, 7, 631, 4, 1774, 1426, 757, 1104, 642, 1425, 1160, 1289, 1740, 1649, 734, 1807, 1310, 490, 319, 546, 1712, 1513, 1818, 1348, 1667, 1595, 1428, 1543, 740, 1176, 1538, 1346, 1748, 1783, 1601, 165, 156, 453, 244, 128011, 128001 ]

[ 128000, 128002, 72586, 13, 350, 13276, 0, 23371, 499, 1541, 956, 1390, 1063, 13, 128003, 128005, 450, 694, 1643, 911, 1298, 1166, 1178, 1509, 1500, 363, 1424, 29, 389, 525, 318, 374, 912, 186, 372, 157, 170, 616, 1019, 96, 104, 91, 100, 1741, 532, 968, 964, 563, 896, 799, 1623, 1538, 54, 1693, 345, 696, 1570, 1080, 505, 1570, 401, 426, 166, 1217, 290, 1061, 1573, 1337, 22, 380, 1810, 69, 202, 1366, 52, 890, 759, 592, 1395, 356, 1374, 510, 7, 1470, 471, 631, 1287, 372, 749, 870, 335, 368, 10, 230, 1675, 346, 502, 844, 181, 1415, 295, 510, 1351, 69, 1342, 356, 1593, 1603, 1779, 1352, 582, 1176, 375, 205, 1344, 357, 290, 380, 205, 1024, 49, 521, 1313, 263, 388, 940, 315, 22, 69, 1755, 529, 213, 1596, 1, 0, 1700, 350, 1620, 175, 1513, 1828, 867, 1628, 1811, 501, 761, 1570, 345, 1288, 1538, 740, 420, 1570, 670, 505, 377, 457, 1538, 1288, 345, 1362, 27, 1362, 659, 131, 625, 633, 496, 686, 559, 1536, 572, 377, 450, 227, 1474, 1669, 131, 450, 1319, 633, 1570, 670, 505, 1536, 484, 1627, 1290, 1817, 340, 1687, 335, 178, 28, 543, 1651, 1697, 901, 1437, 662, 725, 202, 744, 1415, 399, 1598, 245, 1690, 1488, 1521, 452, 1187, 910, 648, 1382, 1392, 1368, 1698, 1387, 1342, 1042, 1058, 1350, 637, 1210, 695, 848, 1449, 1695, 1571, 1546, 26, 1376, 749, 7, 863, 1588, 1358, 1804, 1337, 560, 1166, 1755, 1470, 292, 1712, 1364, 1451, 1672, 1091, 1672, 1660, 1313, 187, 165, 244, 219, 128011, 128001 ]

[ 128000, 128002, 35197, 5513, 34114, 4488, 62033, 1543, 505, 37653, 13739, 682, 922, 8325, 596, 5208, 11, 279, 5208, 430, 814, 2351, 3339, 449, 34323, 15194, 449, 279, 8325, 128003, 128005, 426, 377, 1749, 1634, 368, 135, 67, 1241, 232, 1350, 452, 794, 614, 860, 695, 499, 117, 1394, 788, 1657, 1730, 1724, 1266, 1763, 917, 1565, 256, 683, 1563, 344, 1572, 508, 67, 399, 1625, 65, 22, 945, 473, 1340, 1350, 1678, 1800, 890, 890, 30, 96, 409, 162, 349, 29, 1468, 1740, 1445, 1673, 1670, 361, 319, 1670, 577, 33, 197, 398, 1672, 1657, 1160, 1296, 1247, 319, 1620, 1773, 1141, 679, 870, 787, 1436, 1513, 1801, 634, 1685, 1698, 884, 1769, 1624, 731, 1353, 399, 1600, 1498, 1364, 1710, 714, 452, 1753, 570, 1053, 1646, 570, 1694, 1382, 1331, 1783, 1769, 1805, 1805, 1532, 1826, 1702, 175, 184, 1531, 22, 1078, 664, 182, 157, 107, 1330, 324, 2, 138, 269, 1078, 295, 1673, 1730, 1817, 1480, 1634, 172, 1470, 1287, 755, 1493, 182, 790, 395, 917, 200, 753, 714, 357, 1457, 1515, 679, 952, 33, 330, 966, 137, 356, 848, 1019, 1560, 10, 1661, 1516, 276, 298, 556, 276, 863, 67, 1229, 1353, 1615, 920, 515, 1571, 1166, 952, 1580, 1591, 1759, 954, 683, 1722, 758, 1469, 1703, 625, 1157, 1642, 476, 1655, 865, 1802, 230, 609, 184, 1586, 1088, 1398, 1398, 47, 191, 30, 62, 384, 529, 1267, 1709, 577, 753, 1176, 541, 759, 1833, 1518, 1688, 1441, 150, 314, 1713, 1563, 371, 321, 48, 22, 128, 1341, 519, 36, 1769, 65, 1662, 678, 1662, 931, 949, 931, 1729, 678, 1036, 138, 969, 372, 1708, 713, 1625, 1019, 592, 943, 1508, 1688, 1476, 1800, 522, 1492, 1241, 375, 1700, 375, 1247, 1468, 581, 1808, 1439, 1379, 1674, 1781, 1601, 1783, 218, 371, 157, 162, 128, 277, 797, 47, 164, 664, 65, 370, 205, 570, 1286, 1445, 372, 384, 24, 49, 1238, 1457, 339, 1087, 293, 764, 110, 529, 402, 892, 348, 1147, 15, 797, 834, 376, 1452, 1582, 1518, 529, 537, 53, 92, 537, 768, 560, 81, 376, 28, 1673, 1789, 499, 1724, 1721, 1748, 1288, 333, 1073, 1755, 164, 370, 753, 299, 13, 725, 393, 940, 364, 1540, 1568, 1273, 1523, 176, 714, 642, 1427, 1602, 271, 1341, 1561, 110, 1559, 100, 52, 46, 375, 1468, 858, 1623, 1696, 1654, 710, 1713, 282, 931, 117, 656, 1485, 1498, 609, 309, 63, 1073, 339, 143, 637, 306, 184, 140, 1326, 162, 983, 761, 1791, 636, 1673, 1755, 647, 1127, 759, 143, 1755, 375, 1340, 371, 1105, 483, 858, 1542, 129, 189, 848, 556, 1217, 1549, 362, 1494, 1344, 874, 1591, 1510, 1176, 1514, 1741, 1468, 375, 931, 1374, 595, 890, 1518, 1113, 1100, 412, 474, 1521, 140, 695, 297, 565, 1332, 372, 1618, 1469, 1353, 200, 36, 514, 1620, 49, 931, 448, 69, 175, 202, 714, 1513, 368, 1728, 364, 887, 51, 282, 759, 546, 1698, 1613, 823, 1354, 4, 931, 13, 282, 642, 407, 104, 289, 1692, 767, 687, 1515, 1513, 208, 774, 96, 678, 276, 218, 1400, 79, 812, 1231, 1657, 1354, 1699, 315, 519, 756, 1161, 262, 297, 398, 774, 895, 834, 1146, 682, 1146, 1584, 1606, 1175, 1791, 318, 1241, 1808, 330, 719, 1241, 382, 1807, 1436, 1667, 1672, 1600, 1338, 1693, 1634, 1640, 1615, 208, 125, 26, 92, 1608, 1696, 348, 46, 1166, 1440, 1657, 1713, 1269, 1292, 1400, 1549, 648, 408, 1544, 231, 110, 515, 1552, 858, 1398, 293, 184, 198, 320, 1670, 286, 57, 508, 108, 1629, 1461, 1250, 1601, 1447, 172, 882, 218, 388, 254, 110, 295, 346, 973, 234, 759, 756, 52, 844, 388, 65, 834, 7, 407, 52, 245, 1241, 245, 382, 1448, 1370, 1821, 1034, 329, 579, 330, 384, 1485, 764, 297, 711, 393, 682, 656, 339, 1607, 346, 393, 127, 270, 522, 1620, 1753, 1510, 1461, 499, 335, 1744, 276, 697, 848, 430, 930, 63, 202, 1669, 143, 1524, 1725, 508, 821, 110, 1521, 24, 945, 1712, 989, 1514, 1375, 656, 1795, 375, 1247, 1646, 375, 1795, 782, 782, 1763, 782, 1805, 1655, 1637, 710, 1722, 1703, 659, 1642, 1392, 1783, 1136, 98, 6, 192, 18, 1460, 1579, 1513, 1709, 399, 510, 1078, 290, 192, 298, 137, 319, 2, 1370, 138, 292, 700, 208, 1264, 774, 208, 1072, 1497, 208, 1286, 1610, 1832, 1269, 1734, 46, 1041, 983, 1748, 386, 1579, 362, 92, 1786, 1478, 1398, 1599, 1676, 1251, 1409, 132, 764, 508, 1180, 29, 1056, 768, 63, 461, 764, 587, 209, 165, 219, 244, 219, 128011, 128001 ]

[ 128000, 128002, 4071, 568, 3250, 956, 1650, 433, 459, 14479, 24468, 13, 1283, 3250, 956, 3604, 836, 433, 13, 128003, 128005, 288, 220, 1239, 1437, 996, 871, 552, 658, 849, 32, 416, 1710, 607, 29, 1718, 1039, 1266, 1759, 407, 737, 1095, 277, 637, 1052, 1624, 1439, 1547, 546, 1558, 1808, 966, 490, 1661, 1614, 1425, 1788, 1231, 1432, 595, 1569, 1819, 737, 1107, 974, 768, 1187, 1323, 1670, 1750, 1084, 1757, 1052, 1229, 1829, 1534, 1653, 1676, 1160, 1509, 998, 1407, 1572, 1006, 1423, 1517, 1443, 1226, 1435, 1790, 1650, 196, 287, 1377, 1789, 1258, 1127, 1410, 1087, 1042, 1429, 1455, 1220, 1596, 1507, 1448, 1833, 1543, 1774, 1550, 861, 1357, 843, 984, 1764, 1446, 1655, 345, 633, 1725, 56, 670, 131, 256, 1543, 1480, 1011, 512, 1722, 1313, 1342, 1722, 178, 1524, 1228, 231, 325, 344, 1627, 1244, 1634, 606, 692, 1176, 345, 1338, 641, 227, 343, 56, 442, 1480, 21, 442, 505, 226, 1667, 227, 334, 1146, 442, 1099, 1034, 360, 1034, 1713, 986, 1082, 27, 1589, 1685, 624, 989, 1514, 676, 788, 227, 1164, 1654, 241, 1091, 131, 1128, 640, 193, 1164, 1669, 334, 1009, 304, 981, 1528, 464, 1120, 625, 331, 1035, 256, 950, 426, 167, 1639, 227, 1080, 1176, 56, 1338, 1080, 457, 1474, 56, 420, 151, 194, 542, 342, 220, 56, 194, 1377, 226, 1266, 131, 167, 1551, 304, 1753, 1708, 1281, 183, 1474, 1715, 1706, 1435, 596, 1126, 737, 836, 1350, 1673, 778, 1441, 1643, 1729, 0, 1509, 1267, 1407, 1409, 1286, 1078, 203, 1253, 1058, 1214, 1215, 78, 1139, 1439, 895, 232, 1627, 368, 1775, 1509, 1736, 1414, 1827, 1296, 126, 1818, 1039, 1613, 831, 1765, 1565, 1761, 502, 1409, 495, 1600, 1401, 1794, 930, 1757, 1381, 426, 481, 987, 1632, 1756, 1312, 1306, 1299, 761, 1491, 256, 5, 1548, 1319, 235, 165, 244, 244, 128011, 128001 ]

[ 128000, 128002, 72765, 25761, 13, 8840, 856, 342, 9451, 11, 1587, 5606, 1524, 6227, 279, 25761, 9698, 30, 1472, 1440, 16102, 11, 358, 1781, 814, 1051, 2216, 2216, 1695, 11, 5423, 304, 24050, 279, 36231, 15861, 323, 7231, 603, 264, 8941, 315, 810, 7185, 2574, 311, 3137, 922, 9002, 433, 323, 14224, 264, 15860, 315, 7155, 2815, 51134, 430, 13678, 301, 62454, 704, 13, 128003, 128005, 436, 1035, 50, 927, 1253, 302, 889, 382, 969, 775, 243, 862, 263, 295, 395, 716, 47, 639, 308, 129, 1326, 1588, 132, 1376, 1542, 230, 1441, 1808, 631, 1463, 86, 1221, 1624, 1521, 47, 1625, 388, 153, 1253, 153, 1261, 1097, 510, 1177, 18, 479, 1398, 500, 1633, 1682, 556, 1755, 1564, 1615, 1553, 1623, 1691, 1137, 1327, 1421, 1807, 1306, 1705, 1795, 1298, 1677, 1485, 1496, 895, 1718, 1045, 1537, 79, 904, 249, 813, 63, 887, 388, 172, 565, 218, 491, 479, 263, 723, 330, 579, 587, 195, 1226, 110, 440, 903, 46, 1485, 200, 1649, 556, 1015, 882, 1513, 1075, 502, 1352, 1698, 0, 1625, 1501, 1654, 1787, 298, 4, 362, 213, 510, 631, 448, 1166, 454, 6, 715, 328, 546, 1355, 546, 1724, 1230, 1580, 1752, 1379, 1592, 1448, 1822, 1717, 274, 1784, 1202, 1281, 882, 1107, 312, 1755, 1789, 750, 1542, 1482, 1464, 384, 1345, 108, 110, 917, 1759, 357, 609, 875, 901, 1077, 234, 1122, 252, 380, 757, 324, 206, 461, 518, 104, 372, 1399, 430, 520, 1398, 502, 909, 1683, 1116, 1425, 454, 682, 158, 243, 1258, 79, 179, 797, 1143, 339, 39, 1229, 309, 83, 759, 1077, 658, 1183, 536, 157, 1661, 1584, 349, 1415, 416, 940, 1691, 631, 1240, 1743, 1027, 1221, 362, 409, 519, 183, 1731, 791, 243, 1022, 1105, 253, 113, 1326, 276, 239, 1331, 1310, 1286, 1310, 1391, 1172, 1229, 753, 1286, 1078, 1318, 1306, 155, 1592, 452, 1407, 1403, 454, 901, 47, 1409, 1583, 18, 1285, 1652, 595, 1618, 903, 125, 843, 1403, 52, 1138, 1468, 774, 1816, 1636, 1488, 1656, 1004, 1295, 1056, 853, 100, 1109, 593, 860, 1831, 1711, 715, 834, 1460, 1789, 605, 903, 1371, 1024, 1053, 312, 1520, 1241, 628, 232, 110, 110, 95, 269, 218, 658, 1803, 577, 1127, 935, 276, 1407, 1581, 780, 1723, 758, 1178, 1013, 664, 293, 1593, 138, 1019, 51, 407, 1218, 1712, 1596, 1725, 1344, 1042, 479, 206, 1304, 1520, 1459, 41, 900, 1739, 1745, 400, 1002, 1687, 1781, 1486, 1086, 477, 214, 996, 1423, 1056, 1247, 1511, 372, 376, 683, 753, 1069, 980, 1229, 41, 1441, 1243, 1671, 1700, 1656, 1387, 15, 1533, 1518, 1552, 1759, 1332, 197, 1081, 1415, 1257, 711, 0, 1437, 1351, 503, 775, 945, 1613, 719, 1581, 1295, 286, 1388, 62, 943, 941, 1698, 348, 1818, 154, 286, 399, 448, 1789, 640, 1549, 1738, 454, 1826, 1230, 400, 1648, 1082, 1422, 1714, 493, 1795, 495, 865, 861, 928, 995, 578, 1342, 1141, 1353, 320, 200, 1635, 228, 1008, 969, 913, 1296, 1804, 1163, 1716, 1708, 872, 1127, 1210, 424, 1056, 1686, 181, 515, 1179, 146, 1498, 989, 277, 1416, 529, 940, 356, 190, 1217, 592, 129, 962, 648, 1087, 1124, 755, 1774, 335, 157, 617, 1794, 100, 1147, 1160, 1241, 1656, 1292, 1511, 1268, 1027, 1658, 1279, 1701, 967, 1495, 957, 563, 1360, 624, 1429, 393, 270, 88, 589, 43, 498, 596, 47, 775, 182, 1656, 1404, 1382, 702, 1496, 687, 1110, 592, 1395, 104, 1668, 69, 29, 1751, 1399, 1483, 183, 1709, 1239, 1355, 157, 1180, 137, 1416, 560, 49, 1521, 798, 380, 1545, 1241, 1426, 770, 775, 1712, 1827, 996, 1534, 1462, 1437, 1252, 1420, 1454, 1505, 1366, 515, 564, 1137, 1079, 1444, 803, 114, 1154, 832, 932, 1506, 216, 946, 37, 1473, 381, 1055, 293, 1446, 2, 1607, 774, 195, 665, 738, 380, 1490, 128, 1453, 79, 1804, 155, 931, 1365, 49, 949, 1697, 384, 1708, 999, 1402, 1274, 1431, 317, 1353, 1345, 1833, 581, 1044, 688, 110, 1521, 430, 9, 536, 128, 502, 1351, 581, 1245, 52, 1452, 850, 1214, 1511, 1530, 1091, 1468, 878, 170, 629, 117, 599, 367, 48, 1212, 604, 128, 488, 1661, 1082, 577, 310, 1786, 0, 874, 293, 682, 1810, 335, 483, 6, 510, 870, 213, 599, 1238, 1363, 1694, 1547, 1685, 1279, 461, 816, 518, 384, 135, 723, 424, 1056, 687, 1251, 1647, 985, 1498, 549, 927, 28, 648, 1097, 269, 725, 1019, 153, 1308, 647, 128, 356, 1823, 1761, 315, 203, 1394, 1221, 1361, 962, 1022, 1416, 1340, 1356, 1034, 1459, 847, 122, 1482, 502, 1008, 1623, 1638, 1488, 1651, 276, 599, 50, 315, 870, 202, 822, 822, 50, 556, 356, 213, 715, 154, 1519, 1688, 273, 786, 554, 1693, 981, 1173, 1189, 218, 248, 1450, 318, 1136, 1366, 430, 1330, 687, 1337, 1206, 157, 1596, 609, 357, 184, 1670, 519, 737, 1513, 1803, 1505, 714, 890, 128, 155, 683, 714, 1217, 983, 4, 1195, 1675, 848, 738, 1614, 1412, 1716, 1519, 1439, 1668, 454, 1651, 495, 1139, 1829, 1329, 1450, 1797, 1139, 1761, 1752, 1583, 1704, 1255, 866, 651, 435, 1145, 1211, 1089, 782, 125, 438, 1664, 481, 1393, 658, 1790, 1247, 1766, 1752, 1126, 306, 102, 112, 1423, 1194, 371, 84, 1526, 637, 607, 1040, 157, 703, 911, 467, 1530, 400, 297, 368, 687, 1615, 687, 117, 1790, 556, 1631, 1308, 1468, 409, 1433, 1008, 213, 32, 502, 1727, 1015, 648, 1267, 104, 1019, 1022, 858, 1767, 1830, 1468, 1506, 1204, 1253, 716, 128, 748, 665, 599, 904, 629, 137, 1470, 1826, 295, 648, 1451, 519, 1807, 1282, 1287, 1803, 1139, 1701, 1306, 454, 1770, 1329, 736, 1448, 782, 1795, 1397, 1225, 981, 795, 1011, 1264, 1241, 1180, 944, 479, 1240, 1353, 253, 1382, 1281, 1494, 1581, 22, 1693, 733, 1691, 1588, 1375, 245, 992, 529, 100, 1081, 1468, 1407, 1479, 1436, 1304, 2, 1753, 903, 189, 1103, 183, 1776, 992, 231, 407, 1189, 910, 254, 595, 1402, 901, 910, 1661, 129, 1018, 1241, 153, 1524, 1403, 1769, 1589, 1549, 1327, 1067, 386, 1186, 76, 1368, 298, 1358, 1453, 1316, 1077, 1003, 1803, 1640, 636, 181, 631, 400, 1466, 1797, 1126, 1632, 1278, 1314, 1639, 639, 1489, 864, 829, 1431, 152, 1666, 107, 1526, 138, 907, 1069, 104, 789, 1820, 152, 1807, 1368, 1027, 770, 1651, 759, 1651, 944, 777, 1312, 1161, 1733, 1096, 1830, 1403, 1291, 1048, 631, 1471, 998, 836, 1819, 1275, 1078, 1630, 1326, 29, 1593, 948, 1081, 1794, 22, 1731, 328, 1004, 58, 1450, 1245, 1542, 333, 1472, 1727, 1451, 1607, 154, 1, 719, 927, 1372, 1431, 1382, 1800, 230, 549, 1624, 198, 1217, 554, 454, 1276, 816, 848, 1341, 631, 1516, 197, 348, 1263, 1104, 1519, 1584, 1692, 333, 1807, 1320, 868, 1237, 802, 1166, 191, 1786, 1519, 1366, 443, 1813, 328, 1482, 1518, 129, 782, 911, 907, 1701, 700, 1791, 1711, 1759, 1360, 1552, 1476, 372, 1178, 1699, 1178, 1195, 1297, 173, 53, 1457, 306, 1318, 408, 138, 1107, 764, 306, 1645, 65, 1755, 1680, 1298, 1336, 1059, 1420, 967, 1738, 1131, 1123, 446, 475, 736, 309, 1155, 658, 660, 1345, 73, 1002, 887, 1499, 1161, 1026, 1793, 1060, 1738, 959, 1382, 662, 999, 205, 59, 1476, 444, 538, 1700, 1732, 741, 868, 660, 931, 880, 1186, 547, 1194, 565, 1004, 1122, 245, 443, 810, 1720, 1189, 1714, 800, 966, 195, 1709, 197, 1394, 1252, 858, 719, 1174, 315, 1761, 931, 1470, 1787, 1524, 1369, 1764, 28, 1553, 782, 1524, 1489, 599, 1428, 1320, 767, 1504, 1342, 1752, 1333, 1074, 1123, 624, 964, 1232, 535, 847, 1089, 1166, 682, 615, 1661, 775, 697, 642, 1072, 461, 84, 983, 958, 461, 212, 520, 874, 573, 446, 51, 1511, 1389, 771, 1306, 1170, 1401, 92, 607, 1053, 947, 1308, 153, 1445, 328, 201, 1470, 18, 1376, 1638, 1272, 1077, 239, 1483, 687, 195, 395, 1748, 1009, 1161, 443, 1250, 1027, 1192, 519, 1104, 1483, 129, 1416, 1600, 1588, 593, 659, 846, 1267, 160, 1359, 1813, 1730, 1438, 697, 660, 813, 479, 1113, 720, 36, 127, 844, 592, 904, 1008, 648, 1776, 1488, 1345, 1287, 725, 858, 1462, 1310, 1772, 1671, 1078, 1258, 955, 755, 697, 777, 890, 1177, 1423, 1460, 1503, 1649, 1690, 1828, 1758, 1478, 1118, 1423, 1686, 1498, 1426, 1628, 1825, 1311, 937, 348, 1361, 1353, 1793, 1347, 249, 514, 109, 1704, 1282, 433, 134, 1139, 703, 1273, 1517, 893, 516, 1719, 1639, 213, 1247, 547, 93, 514, 277, 309, 466, 573, 408, 349, 115, 1686, 522, 306, 123, 230, 665, 395, 1818, 1325, 1336, 1823, 1160, 1400, 631, 1517, 944, 113, 248, 979, 522, 106, 841, 282, 115, 1097, 522, 115, 864, 794, 184, 328, 295, 52, 844, 117, 1226, 1287, 1826, 1259, 0, 1735, 927, 1677, 1393, 927, 1797, 1036, 117, 1820, 1329, 1701, 1458, 1665, 933, 460, 691, 1033, 1313, 797, 1647, 324, 1136, 1034, 412, 502, 875, 1088, 703, 1383, 374, 1163, 1182, 972, 362, 1019, 1181, 1668, 1785, 719, 129, 782, 599, 117, 1205, 1342, 1466, 958, 210, 1212, 370, 798, 1002, 306, 768, 359, 473, 173, 1742, 547, 632, 63, 1455, 903, 829, 1791, 1174, 1581, 1033, 1193, 1181, 1504, 516, 1814, 1005, 1437, 368, 1098, 1786, 639, 1328, 887, 1356, 1132, 607, 678, 1100, 1344, 934, 1056, 926, 1702, 1056, 815, 1636, 935, 1811, 1065, 1294, 1600, 52, 1403, 1161, 1683, 1611, 1826, 17, 1010, 1220, 573, 958, 210, 1258, 800, 147, 88, 1075, 1072, 76, 84, 910, 1422, 827, 248, 1757, 1320, 1237, 917, 1637, 1240, 22, 687, 1337, 1230, 1439, 1704, 1212, 1476, 1489, 400, 1790, 1355, 927, 1746, 1329, 1412, 1230, 128011, 128001 ]

[ 128000, 128002, 40, 1781, 3582, 856, 1566, 63911, 2835, 574, 1093, 2380, 1667, 4227, 13, 1442, 358, 2846, 539, 37104, 11, 433, 574, 389, 15013, 56147, 716, 13, 358, 4250, 4510, 430, 574, 856, 1566, 2835, 13, 358, 2733, 779, 3958, 430, 358, 9167, 956, 2728, 904, 6666, 311, 279, 14964, 19562, 430, 304, 856, 9647, 706, 17454, 264, 2763, 315, 128003, 128005, 1172, 751, 1265, 589, 570, 172, 910, 376, 714, 1633, 1690, 848, 1829, 1166, 376, 234, 1394, 608, 65, 692, 1217, 1365, 1833, 865, 1673, 1742, 1193, 560, 367, 182, 182, 972, 123, 191, 508, 269, 987, 1588, 407, 297, 1252, 550, 324, 798, 218, 547, 965, 79, 57, 926, 1502, 319, 1149, 297, 102, 520, 270, 374, 76, 550, 82, 282, 522, 1066, 424, 560, 725, 1311, 903, 320, 362, 549, 502, 1646, 1278, 1744, 1720, 719, 1654, 1677, 1766, 1817, 493, 1797, 1421, 1280, 1206, 1218, 1075, 1022, 1281, 384, 1542, 1300, 510, 876, 945, 519, 911, 1412, 1068, 1494, 1401, 1287, 510, 1296, 315, 57, 736, 347, 1778, 1678, 1584, 1631, 604, 1047, 1296, 1485, 1635, 750, 1004, 949, 1607, 62, 527, 843, 218, 158, 1340, 181, 1675, 818, 107, 1690, 822, 1046, 703, 903, 1444, 903, 1698, 1295, 1460, 952, 506, 1816, 1611, 1207, 687, 890, 74, 289, 1581, 849, 759, 1633, 1376, 132, 4, 298, 1129, 757, 1147, 179, 800, 569, 479, 181, 95, 1300, 407, 1081, 767, 1401, 1774, 1588, 1682, 239, 1678, 1739, 1649, 1730, 1770, 1701, 950, 669, 1451, 979, 1206, 123, 214, 1248, 1532, 617, 171, 1391, 853, 969, 683, 1534, 512, 1272, 1633, 201, 1502, 1734, 1259, 1737, 1166, 738, 365, 943, 1365, 619, 128, 1676, 356, 738, 817, 234, 987, 1009, 57, 629, 1654, 1241, 775, 634, 320, 1240, 4, 132, 1700, 26, 940, 1281, 1074, 1, 143, 1629, 434, 1403, 303, 217, 1677, 604, 93, 1482, 759, 1192, 1047, 428, 657, 1635, 1256, 1030, 775, 428, 1295, 1082, 474, 1487, 767, 966, 1709, 362, 1661, 1220, 816, 777, 587, 682, 1708, 1476, 1501, 639, 1312, 1008, 205, 1004, 282, 524, 291, 422, 282, 1261, 1680, 966, 917, 1596, 774, 1420, 400, 864, 1350, 213, 384, 870, 510, 1161, 372, 6, 1568, 1411, 1261, 374, 295, 289, 1004, 6, 1647, 714, 1773, 1433, 493, 1410, 1439, 996, 973, 46, 1661, 1253, 407, 29, 1312, 1665, 1073, 909, 1327, 1494, 326, 1026, 1432, 700, 1398, 409, 129, 648, 631, 1073, 628, 321, 324, 203, 966, 800, 303, 1678, 700, 1068, 1292, 297, 1467, 22, 644, 377, 1452, 617, 1721, 874, 105, 1659, 1230, 1136, 214, 1740, 1292, 664, 211, 1510, 1206, 530, 1687, 843, 905, 1707, 1660, 230, 176, 73, 1225, 113, 1509, 375, 203, 989, 225, 1346, 1429, 437, 1279, 1583, 1378, 708, 1186, 1422, 443, 789, 1057, 1636, 575, 1245, 382, 615, 1804, 1253, 240, 1481, 1358, 1123, 999, 1429, 1393, 493, 1799, 1098, 1519, 1279, 1212, 1556, 1397, 19, 939, 630, 1297, 723, 711, 179, 697, 67, 755, 780, 1353, 1396, 1412, 1690, 1342, 440, 1245, 789, 479, 863, 1431, 943, 1645, 1607, 1370, 798, 1535, 1670, 1388, 1175, 1341, 868, 205, 876, 1178, 573, 215, 116, 1484, 1171, 1113, 205, 411, 1324, 1171, 1427, 1651, 1488, 1525, 1314, 1598, 1279, 1307, 1213, 1800, 203, 397, 688, 1257, 1214, 0, 182, 917, 989, 533, 1240, 293, 738, 1170, 1074, 1698, 945, 1723, 989, 1709, 134, 1637, 1750, 1233, 1320, 977, 452, 723, 113, 847, 393, 1001, 371, 210, 1459, 186, 569, 1036, 393, 221, 1415, 790, 961, 1247, 874, 1136, 794, 1335, 1393, 1651, 1456, 1434, 1793, 1003, 1720, 1716, 1505, 1543, 926, 861, 1826, 721, 1406, 1735, 825, 703, 1024, 973, 1048, 640, 576, 1549, 52, 1470, 749, 519, 1796, 1568, 1013, 1145, 806, 1008, 1135, 221, 1492, 271, 1258, 402, 117, 466, 1410, 1086, 966, 1351, 1501, 1720, 1155, 1680, 1357, 1494, 910, 1712, 697, 1245, 186, 1229, 324, 1086, 579, 642, 658, 53, 985, 579, 364, 1389, 1034, 408, 1663, 1166, 92, 510, 52, 1342, 1376, 870, 1349, 183, 1651, 870, 1069, 1035, 1596, 1750, 736, 385, 938, 1494, 1505, 989, 388, 488, 1655, 821, 1789, 1488, 1775, 817, 510, 217, 1825, 605, 67, 112, 1816, 849, 794, 112, 1635, 948, 660, 397, 1460, 1086, 1333, 642, 1100, 1647, 461, 1107, 847, 977, 1264, 186, 93, 1394, 483, 910, 452, 1139, 1402, 1521, 1502, 1677, 1166, 1827, 1342, 1270, 1489, 1337, 1666, 1521, 749, 1435, 882, 1245, 1427, 1661, 1119, 1463, 1758, 1187, 1558, 1468, 92, 298, 637, 18, 276, 239, 202, 1166, 1422, 409, 1364, 507, 858, 1317, 973, 794, 910, 856, 182, 1686, 47, 621, 48, 1069, 1488, 1394, 1432, 1119, 1776, 1745, 716, 216, 676, 984, 1025, 1171, 173, 234, 153, 730, 1082, 1182, 173, 200, 218, 1129, 138, 642, 1170, 309, 248, 1088, 309, 210, 47, 364, 806, 1094, 874, 748, 1701, 1630, 1830, 1178, 1731, 1411, 1410, 1486, 989, 1438, 1292, 1034, 1227, 1050, 1059, 1205, 493, 1802, 1714, 1349, 891, 465, 563, 199, 1028, 1424, 1511, 565, 1173, 524, 461, 816, 339, 1276, 25, 1053, 412, 882, 1247, 127, 604, 1326, 502, 595, 1015, 1029, 816, 1259, 565, 552, 1029, 573, 1607, 22, 615, 1707, 239, 269, 1473, 821, 679, 1530, 1354, 1008, 673, 1631, 835, 1617, 1018, 1526, 788, 714, 657, 1146, 1712, 196, 1129, 1144, 1241, 825, 527, 836, 1722, 348, 1081, 1175, 1625, 1745, 1451, 1475, 1256, 1649, 1129, 822, 1331, 1340, 1394, 123, 1387, 1532, 1372, 4, 1808, 47, 890, 1401, 1091, 1027, 158, 1701, 1756, 363, 1600, 124, 407, 189, 719, 1313, 1256, 1229, 595, 695, 870, 1022, 1633, 858, 1534, 701, 688, 1613, 1287, 1778, 399, 1091, 1393, 328, 1098, 36, 1804, 919, 184, 1695, 870, 662, 1585, 1022, 1530, 1580, 22, 333, 213, 719, 372, 822, 1028, 919, 1770, 678, 1801, 11, 310, 1642, 483, 1564, 328, 1444, 1270, 787, 1379, 848, 1509, 1573, 1802, 905, 885, 963, 1362, 999, 1818, 409, 1341, 784, 1300, 1692, 654, 1083, 867, 510, 1093, 685, 1424, 1358, 634, 1799, 1637, 1768, 1144, 1637, 1632, 1333, 715, 642, 529, 483, 1047, 767, 1241, 1127, 1364, 844, 682, 1663, 1024, 1772, 1554, 935, 1639, 1563, 1470, 356, 1754, 1306, 927, 1397, 1097, 1135, 632, 535, 573, 958, 162, 152, 997, 535, 956, 370, 324, 1136, 1743, 1403, 57, 276, 52, 631, 320, 1287, 1519, 368, 1681, 1036, 110, 341, 1661, 605, 656, 214, 884, 1604, 1425, 1649, 1719, 1738, 333, 1466, 1370, 1451, 1225, 1139, 58, 1271, 147, 1584, 996, 440, 467, 1500, 375, 1731, 277, 1600, 402, 1164, 361, 519, 593, 1543, 1487, 1662, 26, 927, 230, 398, 1517, 1174, 1041, 614, 1374, 393, 1193, 79, 560, 1258, 1078, 1180, 430, 1155, 774, 1796, 1075, 1287, 108, 183, 298, 1786, 934, 1382, 1089, 860, 157, 520, 844, 711, 1086, 1332, 828, 1789, 510, 898, 803, 467, 537, 115, 1506, 208, 215, 757, 271, 329, 43, 374, 1382, 100, 907, 43, 113, 1772, 1422, 1526, 1395, 639, 1279, 1403, 1311, 203, 45, 679, 949, 286, 1800, 1412, 178, 1344, 945, 714, 787, 286, 1240, 1401, 428, 1463, 1723, 1701, 1440, 1815, 736, 1666, 440, 1677, 1306, 822, 1448, 1088, 1450, 1738, 782, 1818, 1466, 1349, 1553, 1665, 666, 301, 1292, 1067, 719, 1135, 1180, 208, 106, 1415, 383, 868, 95, 749, 376, 1312, 911, 182, 1521, 648, 890, 1027, 1394, 1800, 1691, 1702, 1037, 1094, 1271, 113, 514, 1345, 958, 955, 309, 1132, 39, 1180, 961, 579, 589, 844, 306, 1680, 452, 1022, 1372, 989, 705, 1565, 388, 1764, 858, 1312, 333, 1243, 1720, 1624, 1444, 639, 1768, 1347, 1722, 1472, 651, 717, 40, 465, 984, 624, 314, 486, 1319, 257, 486, 851, 487, 1246, 544, 673, 496, 257, 673, 975, 762, 555, 566, 490, 1456, 1042, 1656, 1196, 1196, 123, 1805, 966, 803, 85, 191, 935, 862, 1015, 536, 1335, 462, 576, 791, 589, 841, 880, 474, 146, 997, 81, 215, 248, 146, 303, 479, 1280, 1428, 1434, 1372, 700, 205, 917, 1485, 951, 1651, 1259, 847, 192, 55, 1748, 595, 102, 1581, 1313, 1047, 1831, 1161, 1452, 714, 1337, 1682, 1166, 1754, 1803, 1532, 1434, 1714, 156, 165, 453, 244, 128011, 128001 ]

[ 128000, 128002, 20552, 84756, 6170, 2751, 389, 279, 2875, 842, 315, 279, 9396, 11, 719, 304, 420, 2835, 584, 2351, 12967, 1063, 6666, 1203, 311, 433, 304, 26765, 1841, 37726, 11277, 7742, 13, 2100, 22371, 7752, 11, 10788, 1203, 311, 2500, 16795, 656, 4084, 5788, 13, 128003, 128005, 223, 674, 855, 816, 665, 816, 576, 192, 1409, 137, 319, 831, 725, 1026, 1470, 363, 428, 1315, 380, 1520, 1047, 205, 683, 1663, 637, 1819, 255, 1015, 945, 1412, 616, 206, 397, 1326, 69, 1500, 318, 966, 1221, 50, 1732, 1801, 822, 191, 1497, 640, 1813, 1528, 1493, 921, 1255, 1767, 711, 104, 1823, 1002, 1171, 1774, 1226, 841, 116, 892, 997, 1320, 637, 125, 1015, 664, 575, 827, 711, 913, 1690, 1368, 1526, 1320, 1083, 104, 293, 1335, 725, 376, 1253, 1476, 1193, 1457, 1574, 945, 1460, 1618, 154, 510, 519, 315, 1422, 1364, 230, 1450, 440, 183, 1583, 1061, 1652, 902, 955, 829, 512, 306, 364, 352, 1324, 985, 695, 1253, 794, 695, 495, 1300, 312, 1763, 1217, 834, 1688, 579, 716, 546, 1022, 1563, 1, 1447, 556, 802, 1256, 340, 1034, 989, 1229, 847, 574, 326, 508, 1466, 1278, 839, 225, 192, 126, 1298, 407, 1141, 1351, 794, 973, 1466, 1241, 983, 1492, 1212, 1686, 725, 683, 310, 1776, 719, 1671, 687, 158, 385, 1009, 903, 815, 1215, 868, 1068, 1238, 700, 1552, 213, 452, 335, 356, 886, 198, 736, 1642, 554, 1654, 999, 1210, 1675, 157, 55, 746, 461, 934, 889, 13, 1715, 328, 1336, 1432, 1772, 1285, 1568, 1010, 516, 1510, 1245, 1135, 730, 217, 79, 695, 493, 1029, 860, 479, 217, 1416, 1091, 1790, 1351, 728, 1554, 592, 953, 344, 293, 1014, 687, 243, 1093, 157, 1618, 848, 46, 510, 1337, 409, 1382, 308, 1364, 1826, 519, 1755, 1744, 1364, 1787, 1314, 1002, 482, 428, 1653, 1556, 780, 1733, 644, 52, 197, 1161, 232, 1498, 897, 560, 1670, 1295, 1651, 626, 1776, 1666, 1198, 892, 1243, 1307, 940, 683, 109, 1448, 1590, 444, 1123, 1782, 1595, 1278, 1341, 590, 1484, 1698, 898, 65, 397, 13, 52, 716, 1078, 1238, 1369, 1270, 203, 1636, 502, 203, 759, 1756, 1227, 0, 1340, 1544, 409, 298, 399, 129, 1677, 741, 408, 1261, 1139, 92, 312, 1831, 1651, 1224, 371, 1161, 952, 719, 1388, 1713, 848, 549, 315, 362, 1279, 1074, 1190, 441, 152, 687, 434, 1286, 479, 126, 1828, 19, 1680, 230, 753, 298, 296, 1287, 822, 1206, 783, 979, 1611, 328, 158, 1612, 849, 856, 1514, 1751, 86, 1484, 164, 260, 315, 147, 1041, 25, 535, 260, 383, 115, 1746, 463, 361, 277, 1301, 1031, 941, 1828, 1382, 1817, 430, 556, 1282, 440, 1830, 860, 616, 1735, 1296, 112, 1598, 656, 532, 1376, 705, 1397, 725, 814, 1751, 1505, 1121, 328, 1671, 1410, 1364, 1799, 927, 1646, 1770, 454, 1754, 1436, 1364, 1668, 1146, 1292, 1745, 1175, 1109, 1242, 918, 978, 1375, 1399, 844, 521, 731, 687, 835, 533, 200, 702, 870, 615, 1737, 1782, 603, 1786, 375, 1404, 858, 1400, 1611, 454, 1099, 1774, 549, 446, 320, 18, 1004, 46, 182, 1460, 577, 520, 1161, 13, 58, 493, 774, 1732, 202, 648, 1376, 46, 440, 213, 1286, 1237, 1004, 1174, 1389, 1636, 1272, 192, 312, 1657, 1636, 1520, 1819, 1819, 1288, 1278, 371, 1651, 901, 1278, 639, 1089, 1194, 797, 571, 215, 491, 1141, 956, 309, 87, 83, 384, 1372, 1200, 346, 443, 1653, 282, 844, 556, 157, 1364, 18, 1296, 1776, 755, 855, 1280, 208, 352, 1170, 309, 497, 581, 88, 1427, 383, 973, 319, 595, 1340, 549, 1403, 1720, 1310, 1821, 1746, 1556, 1648, 927, 1400, 1568, 1287, 1675, 1174, 518, 1069, 1125, 1141, 13, 1636, 605, 907, 952, 440, 983, 1737, 471, 1008, 1035, 787, 1543, 903, 810, 1205, 671, 1405, 1018, 1436, 69, 1287, 1681, 989, 364, 671, 232, 293, 850, 719, 67, 716, 1763, 254, 1491, 320, 882, 1485, 198, 52, 1524, 713, 1735, 1489, 208, 1490, 170, 1221, 961, 135, 1263, 714, 1372, 100, 1389, 1272, 356, 1814, 1803, 1403, 1622, 1225, 1638, 1739, 231, 1808, 1306, 782, 1809, 1329, 1287, 1556, 1034, 1646, 1306, 767, 1809, 1230, 1637, 735, 976, 460, 561, 507, 1270, 198, 213, 1035, 1160, 813, 858, 1041, 1127, 7, 324, 926, 104, 847, 245, 147, 697, 208, 260, 138, 138, 1457, 253, 1526, 1466, 292, 300, 93, 2, 212, 138, 146, 221, 113, 73, 202, 543, 1477, 1310, 705, 1394, 46, 848, 556, 1073, 1827, 1332, 1776, 1678, 319, 1380, 700, 1122, 839, 508, 147, 497, 79, 270, 1263, 1056, 931, 1369, 1598, 1647, 1501, 1758, 599, 1372, 1312, 1400, 1189, 1793, 1217, 623, 75, 1420, 1438, 106, 1511, 537, 82, 927, 81, 497, 656, 115, 1196, 517, 221, 1554, 1160, 1019, 929, 1297, 1541, 1230, 1439, 1300, 714, 1176, 1367, 1196, 1187, 901, 834, 1022, 833, 1022, 1388, 849, 503, 345, 1300, 389, 1168, 956, 917, 687, 855, 1677, 550, 476, 1077, 936, 637, 653, 889, 503, 1094, 787, 381, 1104, 90, 1809, 1467, 1433, 1646, 1552, 1091, 749, 1234, 746, 488, 1736, 166, 116, 1829, 631, 269, 26, 201, 175, 863, 1616, 1738, 1688, 1004, 1068, 533, 1340, 1584, 527, 983, 1619, 26, 191, 1617, 848, 1534, 1549, 1747, 1301, 1573, 1138, 975, 761, 1768, 1283, 749, 1256, 777, 1166, 408, 1222, 179, 524, 1271, 552, 271, 1076, 1135, 1051, 321, 1411, 481, 1106, 1622, 1652, 927, 1411, 977, 989, 73, 1145, 1800, 807, 1556, 490, 594, 459, 40, 513, 1276, 1294, 1153, 1478, 396, 991, 609, 272, 687, 150, 1062, 1164, 210, 1488, 1171, 106, 492, 1029, 306, 112, 714, 203, 1339, 1125, 1811, 1073, 656, 1795, 687, 1175, 1349, 479, 809, 1241, 1459, 1174, 295, 310, 1057, 1286, 515, 1809, 1496, 1530, 1741, 1337, 1481, 943, 1743, 1720, 1034, 1829, 1212, 822, 1160, 1034, 156, 165, 244, 244, 128011, 128001 ]

[ 128000, 128002, 13246, 358, 1071, 11, 13678, 301, 6688, 603, 264, 2763, 315, 8056, 2815, 51134, 505, 279, 25761, 13, 27019, 11, 2225, 279, 1176, 832, 323, 1243, 6785, 323, 45503, 13, 128003, 128005, 334, 1181, 1399, 186, 82, 248, 100, 206, 93, 157, 864, 28, 1823, 1373, 400, 461, 797, 100, 660, 260, 104, 135, 1192, 13, 67, 973, 719, 502, 794, 315, 195, 320, 46, 315, 213, 50, 1325, 1174, 412, 1415, 135, 797, 123, 228, 83, 901, 1182, 76, 858, 1077, 648, 521, 1019, 938, 1407, 1260, 1393, 58, 1735, 1436, 1683, 1400, 1718, 1822, 1088, 1805, 1738, 1754, 984, 691, 247, 523, 1500, 1019, 1463, 57, 682, 753, 1594, 1665, 1679, 1374, 198, 315, 1364, 1161, 956, 1295, 162, 306, 373, 87, 254, 1328, 700, 764, 456, 182, 320, 1775, 1790, 965, 1640, 773, 1300, 639, 384, 949, 1217, 1166, 949, 357, 1409, 901, 596, 1656, 347, 1191, 1409, 57, 770, 687, 1178, 1086, 1533, 508, 328, 46, 844, 519, 1253, 1399, 996, 955, 1437, 868, 660, 682, 787, 1081, 1769, 1156, 1506, 1401, 803, 1692, 57, 708, 475, 422, 1180, 658, 958, 887, 756, 339, 112, 560, 260, 1633, 794, 359, 1498, 741, 1829, 1353, 803, 1761, 1129, 1132, 931, 679, 1416, 1374, 1371, 1732, 783, 1706, 808, 1814, 1563, 836, 1371, 1230, 1188, 1294, 1470, 1591, 1591, 1533, 1008, 782, 822, 1129, 132, 679, 700, 213, 1438, 822, 849, 1554, 26, 1267, 1372, 15, 1761, 231, 648, 483, 50, 592, 1364, 631, 1237, 759, 1563, 1431, 648, 1772, 1147, 1027, 1823, 648, 682, 1564, 685, 952, 1508, 1552, 0, 1110, 609, 571, 809, 388, 339, 855, 393, 82, 736, 573, 1055, 382, 1122, 132, 123, 533, 370, 564, 1668, 1414, 1261, 440, 1205, 1823, 1331, 1005, 39, 1411, 299, 777, 300, 1132, 208, 1258, 364, 1265, 300, 1224, 79, 1500, 1022, 117, 295, 1238, 320, 719, 714, 1241, 1466, 886, 1573, 495, 28, 1228, 1110, 1252, 1132, 57, 557, 1059, 1147, 1750, 644, 1024, 787, 1236, 782, 742, 895, 1069, 1741, 571, 1006, 1015, 1754, 653, 772, 1131, 163, 1754, 1761, 870, 1382, 1713, 1535, 1770, 1195, 424, 1388, 985, 1013, 1382, 1410, 1473, 1018, 1733, 940, 1746, 774, 1146, 13, 640, 1353, 767, 1645, 1403, 1469, 1340, 1702, 1394, 33, 822, 788, 1376, 1739, 1259, 1426, 1675, 1688, 1778, 1760, 1700, 1315, 1091, 644, 1151, 1004, 564, 495, 725, 443, 1501, 1412, 1647, 47, 312, 702, 1313, 1516, 1593, 1009, 454, 682, 126, 1711, 689, 1027, 395, 1748, 213, 1240, 166, 320, 1718, 1547, 1822, 1617, 34, 899, 1495, 1051, 95, 738, 1615, 545, 1606, 424, 1608, 260, 1659, 321, 1014, 890, 411, 1582, 1733, 1453, 1114, 1227, 978, 438, 1176, 858, 1256, 809, 1830, 1401, 1740, 1799, 470, 563, 655, 526, 1570, 1696, 816, 610, 81, 1778, 321, 1274, 695, 1406, 228, 935, 277, 794, 546, 276, 384, 510, 407, 1524, 599, 1451, 1498, 1402, 1252, 195, 1265, 1341, 277, 1389, 1022, 560, 1431, 1330, 901, 1726, 1829, 1473, 1396, 1412, 639, 1739, 493, 1720, 1282, 399, 1279, 979, 1349, 1448, 767, 1735, 1429, 1259, 1487, 1824, 899, 1251, 1226, 1395, 1173, 800, 339, 461, 1492, 547, 1410, 521, 848, 297, 1808, 452, 1127, 1166, 1221, 892, 1568, 95, 1570, 931, 804, 1451, 1350, 1624, 362, 1817, 1018, 4, 1451, 493, 1066, 1347, 339, 491, 1241, 173, 1041, 248, 154, 142, 1805, 208, 1289, 236, 1535, 474, 1556, 321, 0, 1068, 1059, 236, 1023, 874, 969, 1769, 944, 27, 864, 672, 803, 1028, 972, 1418, 877, 672, 123, 1219, 827, 306, 113, 400, 25, 1497, 658, 1280, 882, 529, 362, 67, 790, 822, 549, 1059, 1450, 1748, 1751, 1241, 1303, 895, 715, 1058, 701, 849, 834, 1650, 340, 234, 1825, 276, 688, 1688, 1460, 1593, 1565, 1829, 1414, 1170, 1351, 989, 981, 165, 219, 244, 244, 128011, 128001 ]

[ 128000, 128002, 4071, 439, 682, 2574, 11, 26907, 11, 1063, 315, 1124, 2751, 26765, 11, 323, 279, 832, 584, 2351, 4737, 264, 1427, 520, 1618, 3432, 11, 15341, 79803, 258, 45315, 11, 374, 832, 315, 279, 12697, 315, 36935, 13, 2030, 358, 617, 1027, 40510, 3403, 311, 6994, 832, 11, 323, 358, 1440, 1274, 690, 2610, 757, 11, 779, 358, 2846, 1120, 16926, 2231, 433, 704, 1070, 13, 128003, 128005, 1603, 1077, 973, 547, 589, 138, 270, 102, 882, 474, 637, 412, 825, 154, 1022, 1052, 1738, 1253, 1731, 1082, 1237, 1484, 927, 1247, 443, 1802, 231, 903, 1552, 201, 1287, 639, 816, 1210, 1001, 79, 1333, 1077, 260, 1058, 1075, 589, 352, 983, 1265, 632, 491, 1490, 1395, 53, 112, 1742, 1208, 466, 341, 1702, 791, 395, 1773, 1221, 1633, 1651, 1769, 1770, 1710, 1668, 1459, 632, 849, 931, 1081, 1061, 95, 1798, 549, 1081, 713, 95, 1724, 430, 1365, 1, 917, 1021, 983, 861, 1018, 617, 865, 1398, 519, 213, 592, 599, 213, 1002, 335, 1018, 1412, 485, 1685, 1781, 1547, 1703, 1168, 1602, 1458, 1292, 1657, 885, 888, 426, 465, 436, 692, 866, 1291, 1220, 1680, 1423, 1380, 1345, 1336, 485, 1374, 1710, 1027, 1781, 788, 26, 1297, 1102, 1494, 1202, 775, 1715, 1198, 903, 904, 1174, 1325, 1663, 63, 935, 1646, 595, 725, 202, 1082, 1411, 382, 907, 29, 714, 917, 1212, 1395, 1245, 759, 443, 1723, 1395, 1494, 1350, 217, 1444, 1170, 1129, 1366, 110, 1341, 911, 1320, 63, 1460, 127, 178, 1351, 836, 927, 1468, 1680, 1638, 1464, 869, 1623, 1268, 176, 295, 298, 198, 870, 10, 7, 62, 202, 1435, 841, 1204, 1237, 254, 321, 1374, 95, 1472, 1098, 1340, 191, 297, 1312, 1088, 547, 488, 1583, 1235, 134, 1776, 1605, 1622, 1797, 1180, 705, 577, 346, 1280, 595, 422, 1830, 903, 1403, 564, 689, 730, 1536, 940, 850, 1519, 530, 1669, 927, 1328, 303, 1310, 147, 1208, 550, 81, 1204, 208, 81, 1117, 1115, 687, 1511, 1315, 1216, 1275, 1199, 1254, 1038, 1799, 1002, 1649, 407, 1677, 1808, 454, 1738, 768, 755, 49, 1308, 1008, 190, 1005, 1155, 375, 388, 1690, 583, 1415, 183, 1825, 882, 52, 848, 6, 848, 1180, 969, 295, 642, 425, 488, 700, 1700, 858, 955, 268, 1022, 1493, 495, 1402, 1598, 1720, 1731, 1770, 1088, 1391, 1436, 1646, 1489, 1082, 1795, 1303, 1160, 1402, 1412, 1783, 875, 1067, 1204, 1264, 841, 208, 1735, 1335, 1287, 703, 426, 57, 742, 1818, 1399, 326, 831, 1809, 1487, 1554, 890, 1077, 629, 321, 801, 500, 847, 1392, 678, 1633, 870, 965, 593, 648, 1542, 646, 1345, 1078, 728, 937, 483, 1590, 1187, 547, 748, 1423, 29, 1048, 628, 483, 831, 929, 1697, 832, 1424, 1467, 1632, 132, 863, 592, 28, 1448, 767, 1687, 1260, 1241, 1324, 783, 46, 1546, 1764, 362, 1640, 1329, 1511, 1086, 67, 1372, 1326, 860, 1326, 1358, 1492, 1141, 856, 184, 688, 1520, 1429, 1196, 983, 759, 1004, 703, 1665, 1666, 1163, 1160, 1546, 1087, 931, 1175, 1196, 452, 1056, 983, 1040, 996, 297, 1018, 1502, 1810, 947, 615, 1657, 1226, 964, 549, 506, 837, 440, 480, 793, 467, 810, 640, 807, 460, 1763, 490, 1565, 409, 782, 10, 1583, 1462, 658, 520, 911, 388, 1545, 1283, 48, 1817, 383, 569, 289, 790, 1206, 263, 83, 1502, 543, 115, 1441, 2, 1584, 24, 996, 1633, 848, 1444, 1375, 1799, 1505, 788, 1671, 1500, 117, 1745, 1057, 1701, 1333, 930, 1373, 936, 578, 80, 168, 378, 469, 1731, 1035, 576, 1288, 546, 742, 1669, 736, 310, 1581, 416, 1174, 595, 844, 483, 137, 945, 529, 218, 1335, 943, 454, 1645, 1773, 1534, 1170, 581, 1086, 1241, 1740, 1071, 1496, 971, 1037, 1681, 1038, 1404, 1184, 893, 1684, 1486, 41, 1026, 1523, 679, 1564, 1585, 1221, 647, 895, 182, 1243, 636, 388, 835, 1703, 1069, 71, 1556, 728, 316, 516, 54, 1287, 400, 83, 1526, 1, 205, 1718, 725, 1612, 870, 748, 793, 191, 758, 1415, 1440, 1353, 891, 1407, 1384, 1676, 1339, 1769, 497, 1737, 474, 1715, 768, 269, 176, 93, 1734, 321, 1472, 1618, 803, 1408, 1071, 1148, 669, 827, 1483, 944, 260, 1457, 206, 552, 844, 408, 372, 1086, 1056, 107, 335, 1087, 1382, 1651, 1030, 333, 648, 863, 122, 1439, 1027, 546, 1397, 636, 1810, 1438, 1061, 1733, 640, 789, 1528, 687, 1598, 556, 1369, 556, 1281, 822, 876, 368, 1502, 1506, 368, 1345, 399, 409, 886, 50, 870, 1752, 1546, 1654, 1627, 1626, 1195, 58, 1697, 1819, 1708, 1392, 1614, 1409, 1721, 1492, 970, 1785, 1434, 1030, 1690, 497, 1755, 628, 1706, 1022, 1677, 716, 1451, 898, 1637, 302, 1528, 798, 1215, 576, 1688, 953, 1787, 1064, 912, 762, 1793, 1433, 1651, 1011, 182, 867, 1607, 1283, 1755, 1470, 1176, 949, 821, 1107, 1092, 715, 1347, 1492, 1611, 1414, 110, 1067, 66, 1813, 1154, 37, 1405, 1712, 1685, 1082, 1202, 186, 864, 182, 96, 466, 407, 108, 1380, 1403, 1381, 1306, 1375, 1385, 6, 577, 1437, 208, 1369, 321, 384, 1326, 1447, 1494, 1682, 1407, 480, 1350, 127, 1769, 230, 502, 448, 409, 1660, 827, 1202, 1156, 324, 1086, 1389, 1088, 705, 1702, 844, 1636, 1226, 1830, 516, 1677, 1404, 581, 1171, 1511, 1364, 1205, 1761, 886, 1075, 320, 269, 1450, 827, 1473, 656, 1267, 117, 877, 1565, 529, 175, 129, 510, 556, 50, 767, 416, 1651, 983, 1740, 969, 1629, 1056, 959, 202, 105, 1364, 592, 1308, 753, 527, 532, 1600, 1073, 1350, 335, 1342, 882, 253, 495, 1139, 1180, 1295, 849, 13, 1728, 844, 134, 0, 1537, 1768, 1642, 1251, 1701, 1450, 1079, 947, 1774, 1432, 927, 1793, 1034, 1476, 1556, 979, 1822, 1230, 1175, 1809, 1059, 1687, 1373, 1305, 967, 54, 1255, 1209, 1462, 1132, 1083, 1197, 589, 868, 1141, 324, 589, 1247, 147, 1447, 208, 798, 796, 339, 1698, 277, 1804, 499, 203, 1599, 1029, 825, 1434, 299, 221, 519, 1132, 1331, 236, 1331, 1008, 1088, 1019, 1792, 1154, 843, 1255, 1065, 396, 1451, 1066, 1318, 604, 303, 714, 1280, 1790, 844, 1715, 716, 767, 1463, 1833, 1325, 1501, 1556, 1511, 1224, 1358, 1462, 1542, 1374, 1340, 767, 1798, 1638, 1711, 1479, 1451, 1583, 1752, 756, 489, 1564, 30, 374, 327, 110, 153, 125, 133, 759, 577, 1800, 1018, 535, 1161, 780, 1342, 1422, 346, 994, 452, 361, 1542, 637, 1330, 1485, 780, 1402, 120, 1618, 230, 1647, 972, 388, 104, 1196, 972, 179, 579, 1126, 628, 286, 1253, 1537, 1073, 1431, 1741, 1097, 805, 1808, 1439, 1238, 276, 1432, 1364, 736, 1252, 1073, 1814, 1277, 844, 182, 341, 1336, 808, 806, 363, 1651, 1530, 1677, 790, 1739, 1478, 1747, 1710, 181, 1217, 1400, 454, 1504, 999, 1276, 93, 870, 1088, 774, 201, 217, 1591, 713, 1075, 1350, 1296, 716, 1225, 1155, 1048, 1445, 1365, 1645, 519, 1422, 1222, 1013, 483, 1001, 926, 966, 320, 191, 761, 931, 1629, 1157, 1466, 1658, 1108, 1370, 1739, 1088, 22, 1738, 979, 1781, 1059, 328, 1746, 1170, 1035, 1668, 1370, 1722, 1683, 1120, 566, 799, 1648, 1183, 535, 1187, 1256, 1129, 1112, 664, 1279, 1001, 579, 1077, 790, 973, 996, 1411, 581, 514, 619, 576, 481, 495, 1733, 388, 293, 455, 1004, 775, 1330, 836, 1733, 1412, 1462, 310, 875, 1766, 1537, 979, 1053, 1666, 990, 1147, 1660, 725, 1497, 556, 1625, 954, 1035, 1776, 1436, 1132, 737, 197, 1417, 197, 1374, 1019, 1503, 1368, 214, 1635, 956, 9, 1166, 339, 491, 947, 147, 1086, 364, 1330, 711, 658, 306, 371, 221, 599, 173, 1259, 537, 260, 1790, 1247, 1368, 631, 295, 592, 137, 599, 780, 714, 1519, 1588, 1473, 1487, 848, 18, 1663, 361, 47, 1711, 1, 1455, 1493, 129, 848, 6, 276, 28, 1310, 951, 297, 587, 1733, 1261, 856, 1451, 1267, 1639, 787, 1239, 794, 1757, 183, 328, 1649, 129, 1088, 1370, 1018, 1751, 1303, 892, 1392, 1034, 374, 1607, 847, 961, 1126, 1775, 376, 1791, 1469, 1333, 1771, 624, 1097, 985, 1408, 1721, 1265, 545, 1320, 1178, 112, 1472, 947, 797, 1069, 399, 705, 1750, 711, 797, 775, 382, 115, 1483, 309, 291, 1410, 53, 1772, 441, 385, 1160, 748, 1793, 1333, 1181, 1671, 1737, 1665, 1261, 1187, 858, 664, 74, 368, 581, 456, 1583, 104, 600, 947, 1224, 711, 856, 1815, 1790, 272, 1259, 1825, 1803, 656, 1404, 1714, 156, 165, 244, 244, 128011, 128001 ]

[ 128000, 128002, 6107, 3201, 11, 422, 499, 527, 3025, 311, 3821, 264, 9568, 323, 63134, 6622, 1139, 279, 2835, 11, 358, 2751, 420, 505, 264, 12637, 33053, 889, 13517, 2751, 433, 1022, 31006, 505, 5734, 13, 128003, 128005, 226, 1307, 853, 1198, 502, 1464, 973, 728, 1645, 217, 684, 1501, 205, 1388, 364, 536, 708, 270, 1173, 292, 213, 1647, 243, 803, 1366, 49, 959, 1251, 380, 95, 1635, 192, 1716, 92, 1776, 747, 108, 1682, 771, 128, 1455, 422, 521, 1069, 49, 1447, 829, 181, 695, 1583, 46, 973, 1471, 714, 1682, 1035, 286, 1490, 1638, 1809, 1658, 1524, 832, 1120, 1720, 1705, 767, 1793, 1225, 1370, 1185, 1215, 1322, 229, 885, 548, 591, 281, 31, 832, 1104, 1224, 0, 860, 1801, 493, 1463, 333, 22, 1815, 1364, 1701, 1306, 11, 1458, 640, 1295, 786, 1325, 1508, 822, 1467, 1286, 1585, 57, 1796, 1345, 1564, 1366, 1396, 1542, 1488, 1081, 1779, 1640, 946, 1686, 861, 1622, 438, 31, 1414, 1072, 1191, 1417, 1298, 825, 1195, 254, 1396, 955, 756, 835, 872, 1758, 1038, 239, 1827, 1395, 1088, 1275, 1546, 22, 92, 129, 197, 1494, 67, 719, 941, 1518, 1538, 1811, 1275, 864, 1399, 1485, 234, 684, 1610, 1825, 1798, 631, 104, 22, 782, 1701, 1781, 816, 1526, 1646, 518, 1550, 1353, 591, 116, 1806, 173, 302, 868, 1190, 142, 1208, 107, 1147, 1160, 520, 1553, 1324, 1454, 1436, 715, 870, 372, 1776, 1226, 697, 1548, 931, 1299, 892, 1614, 203, 1215, 1365, 1476, 730, 1259, 537, 1526, 1161, 1280, 1284, 783, 1528, 779, 947, 1263, 639, 1345, 1267, 1821, 1431, 1262, 1758, 1699, 829, 701, 825, 585, 1344, 304, 1415, 1815, 1047, 911, 1647, 399, 1493, 416, 1274, 1709, 957, 1469, 1722, 1634, 1342, 198, 1313, 1047, 1751, 328, 644, 1354, 1336, 1802, 1635, 1753, 415, 1532, 448, 50, 1776, 1173, 841, 814, 318, 221, 1395, 277, 1629, 1320, 1673, 1683, 1261, 926, 713, 302, 1228, 1341, 1352, 1691, 1729, 654, 14, 858, 1022, 1466, 1217, 297, 1807, 1549, 1335, 1472, 1685, 348, 1441, 10, 1027, 777, 1358, 1175, 502, 310, 1763, 493, 95, 688, 701, 1700, 1593, 1667, 519, 1554, 1147, 604, 1210, 175, 1558, 1605, 493, 1008, 1240, 69, 1409, 1078, 375, 1260, 1645, 816, 657, 51, 352, 789, 164, 571, 581, 958, 721, 2, 775, 231, 1438, 1158, 1313, 1366, 841, 860, 162, 164, 82, 212, 106, 123, 157, 571, 547, 162, 386, 1640, 1462, 9, 1803, 1429, 1716, 1292, 1677, 1790, 658, 825, 137, 428, 1407, 400, 1401, 471, 864, 1372, 409, 295, 315, 195, 1300, 546, 1624, 1830, 493, 1741, 1355, 943, 1788, 1053, 1649, 1714, 927, 1823, 1434, 1422, 1813, 1714, 1623, 1010, 1145, 1628, 495, 863, 895, 943, 1186, 974, 411, 47, 1477, 370, 764, 1107, 656, 1047, 615, 753, 1762, 1395, 759, 1341, 178, 1182, 1232, 117, 901, 92, 129, 143, 1460, 1340, 41, 817, 1521, 1794, 176, 1821, 1799, 731, 1305, 19, 791, 462, 1047, 579, 956, 461, 474, 57, 205, 783, 182, 789, 1463, 13, 1058, 473, 1055, 143, 483, 600, 1618, 1361, 1378, 945, 583, 1572, 1745, 1819, 1420, 1399, 1796, 1403, 1714, 1802, 1774, 411, 748, 1826, 1484, 1004, 514, 127, 1182, 147, 657, 943, 309, 836, 1476, 1312, 1321, 1188, 1275, 1033, 1355, 1270, 372, 1382, 158, 1384, 1094, 1394, 629, 1797, 1485, 1365, 1491, 1411, 1365, 1784, 1466, 1680, 890, 126, 109, 1775, 1309, 879, 577, 443, 1520, 1261, 1260, 1147, 143, 1025, 1258, 1453, 1301, 1554, 150, 1384, 1444, 355, 1746, 1314, 1219, 1218, 324, 1599, 1449, 595, 1537, 1791, 1439, 1488, 175, 471, 1710, 1, 1015, 1620, 1310, 616, 1766, 1389, 1252, 940, 1365, 1022, 940, 1019, 0, 493, 621, 734, 421, 1804, 1594, 1411, 874, 829, 599, 306, 1498, 393, 569, 639, 147, 1304, 665, 1040, 102, 1769, 790, 876, 1403, 876, 1747, 1680, 1294, 1261, 306, 1109, 892, 1174, 711, 991, 775, 370, 1263, 1110, 1087, 940, 203, 1781, 1331, 1825, 1261, 1524, 1739, 1451, 1324, 1769, 878, 1786, 1618, 1365, 1664, 821, 1679, 183, 1081, 1614, 1214, 564, 1269, 1175, 1459, 83, 1494, 11, 756, 1047, 640, 440, 102, 1810, 780, 787, 18, 1366, 1347, 604, 907, 1820, 1588, 1789, 362, 1748, 1404, 1364, 1495, 999, 1429, 1271, 816, 917, 719, 1708, 493, 738, 1379, 98, 1479, 1431, 850, 1626, 1718, 239, 308, 1259, 943, 596, 1411, 1139, 1204, 626, 827, 173, 1537, 309, 1183, 321, 658, 1109, 985, 1174, 836, 689, 777, 1519, 1636, 831, 1337, 1127, 1261, 664, 1342, 705, 239, 1351, 1396, 1746, 1716, 1505, 1088, 1256, 1313, 185, 165, 453, 219, 128011, 128001 ]

[ 128000, 128002, 28070, 311, 4330, 1667, 4227, 11, 5353, 430, 596, 994, 568, 574, 10825, 311, 387, 6004, 13, 1283, 574, 2133, 311, 387, 304, 279, 91178, 3814, 4101, 323, 358, 4510, 1093, 1403, 16579, 323, 59139, 2212, 430, 892, 11, 719, 499, 1440, 13, 128003, 128005, 404, 1268, 1102, 1374, 1237, 488, 503, 1595, 1343, 825, 397, 148, 1336, 1799, 873, 1001, 1537, 55, 488, 109, 1316, 1212, 269, 48, 1303, 1088, 703, 239, 1662, 674, 1484, 1572, 1632, 298, 28, 10, 1403, 1328, 841, 1078, 945, 1584, 1036, 1584, 1710, 400, 1754, 1532, 1637, 1707, 636, 1064, 897, 1455, 173, 1762, 565, 1201, 552, 1089, 809, 697, 1328, 179, 1177, 474, 945, 768, 1265, 499, 1107, 407, 809, 1422, 1167, 1584, 1212, 490, 1197, 1818, 1179, 117, 1741, 1454, 1120, 1489, 1336, 968, 1431, 1571, 1542, 1386, 895, 653, 1020, 178, 742, 1723, 1773, 1112, 434, 310, 1295, 110, 385, 1278, 1403, 1779, 202, 157, 1387, 52, 1542, 399, 844, 1774, 886, 428, 1340, 1559, 1610, 1379, 1519, 977, 2, 1081, 1462, 1031, 475, 155, 626, 1770, 364, 116, 488, 1058, 1320, 1361, 1069, 1437, 815, 1489, 1716, 735, 1117, 1815, 1746, 1342, 1408, 1212, 1496, 1428, 927, 1721, 1797, 1329, 939, 1212, 1707, 1658, 1104, 939, 751, 620, 490, 387, 606, 513, 927, 1781, 1378, 1410, 520, 1768, 362, 1558, 631, 33, 1518, 176, 1818, 1159, 800, 359, 679, 371, 610, 901, 887, 1171, 1731, 1308, 1460, 1604, 870, 384, 1519, 1027, 1646, 1743, 1042, 1735, 806, 1593, 1457, 716, 719, 1488, 1583, 98, 1667, 1310, 1706, 890, 786, 783, 820, 269, 509, 607, 1255, 850, 1472, 278, 728, 1622, 574, 1785, 492, 1723, 665, 613, 201, 910, 844, 1746, 475, 1688, 860, 883, 428, 1218, 175, 1468, 333, 33, 1711, 1677, 1403, 1042, 1379, 1312, 1359, 945, 1006, 1646, 593, 1763, 1759, 1756, 409, 1027, 1583, 117, 1739, 1153, 841, 1141, 715, 1497, 1690, 519, 1396, 1340, 1236, 1004, 1793, 95, 325, 682, 426, 1060, 5, 795, 1534, 1302, 1660, 1683, 1337, 1388, 320, 1590, 1662, 544, 728, 692, 1741, 996, 1430, 203, 20, 1008, 881, 734, 1237, 185, 1155, 1277, 144, 973, 1716, 792, 158, 964, 1335, 1284, 1030, 646, 1146, 1457, 289, 108, 1267, 713, 1661, 1525, 276, 1032, 1636, 298, 1624, 202, 67, 1278, 1376, 736, 495, 4, 1828, 1036, 1370, 1799, 947, 1808, 1448, 822, 1806, 1379, 1451, 1668, 1146, 1788, 1418, 1290, 727, 820, 669, 712, 1085, 513, 239, 994, 1050, 1661, 478, 406, 1099, 1335, 629, 1791, 1139, 848, 201, 890, 18, 556, 1560, 1492, 1022, 779, 1022, 687, 1471, 813, 768, 1365, 864, 1460, 1315, 1766, 788, 1790, 557, 1221, 999, 1799, 1661, 317, 691, 1104, 1312, 4, 1004, 197, 1376, 361, 1166, 890, 269, 1166, 1726, 1172, 1476, 1633, 268, 1750, 979, 412, 1753, 658, 877, 1644, 1443, 832, 1681, 1556, 1700, 154, 1434, 596, 769, 1329, 400, 977, 1206, 958, 106, 1047, 800, 210, 1435, 76, 359, 1320, 147, 203, 1790, 1058, 1373, 1264, 1776, 1436, 665, 1364, 1376, 749, 1496, 1426, 1252, 828, 658, 361, 1086, 901, 1511, 434, 1100, 1468, 510, 961, 1707, 1753, 1794, 18, 132, 1027, 409, 1161, 454, 335, 1139, 335, 1426, 1149, 882, 493, 1048, 1110, 631, 1780, 410, 197, 1026, 65, 1650, 1034, 769, 684, 725, 1416, 1708, 189, 449, 1161, 319, 1804, 175, 129, 1476, 198, 1624, 1611, 117, 1477, 1429, 1364, 13, 1764, 736, 312, 1704, 874, 1141, 1320, 547, 1487, 1056, 1040, 1077, 1074, 913, 1350, 1754, 807, 1121, 1123, 1826, 400, 1167, 1623, 411, 78, 1790, 389, 1151, 1022, 593, 645, 1240, 1472, 527, 29, 1339, 849, 973, 716, 1451, 1612, 1685, 362, 1037, 1107, 1060, 1286, 477, 1734, 164, 1443, 479, 1485, 1274, 1400, 1629, 1092, 1651, 1832, 1241, 882, 1824, 639, 1781, 1648, 1271, 1095, 1720, 1358, 455, 1824, 767, 1047, 1715, 1568, 679, 55, 1600, 1387, 108, 122, 749, 117, 409, 788, 1287, 1174, 178, 200, 1804, 746, 1445, 1654, 1387, 1790, 780, 230, 1500, 415, 1642, 1621, 1547, 1510, 546, 454, 1130, 1823, 1429, 428, 774, 856, 1642, 1238, 836, 1591, 533, 1300, 191, 895, 1027, 310, 1383, 1452, 1093, 701, 856, 1750, 231, 1243, 1273, 1779, 449, 691, 1687, 1071, 640, 1478, 1495, 870, 555, 1036, 1777, 1033, 715, 1465, 1292, 1400, 567, 1395, 1385, 1003, 19, 970, 555, 586, 60, 563, 1086, 1209, 1141, 900, 777, 1683, 850, 1267, 144, 1192, 1333, 1224, 1066, 1139, 657, 1379, 422, 1813, 393, 1774, 297, 1028, 764, 909, 1513, 36, 1807, 1310, 748, 1349, 55, 426, 753, 1386, 1073, 937, 1342, 573, 1399, 208, 955, 270, 1184, 1083, 549, 1636, 1541, 1316, 1167, 1154, 1752, 1439, 52, 1217, 1432, 1053, 1675, 1256, 797, 116, 1220, 498, 252, 1814, 944, 491, 1483, 1143, 521, 116, 1259, 410, 628, 1416, 454, 95, 1389, 947, 1002, 455, 1829, 1009, 1445, 317, 685, 310, 363, 691, 776, 1824, 1173, 610, 1004, 1086, 529, 827, 1014, 157, 1258, 1078, 979, 1087, 1418, 1223, 1032, 1028, 1209, 1453, 852, 1218, 1528, 1047, 1383, 756, 1819, 1468, 1120, 361, 1637, 1446, 892, 32, 1358, 1310, 1015, 1420, 1260, 695, 1235, 1297, 1252, 847, 1656, 1509, 1223, 1218, 1487, 1268, 564, 1458, 1347, 727, 1098, 1770, 538, 165, 219, 244, 244, 128011, 128001 ]

[ 128000, 128002, 2169, 14997, 1120, 15058, 956, 11486, 439, 1664, 11, 779, 13678, 301, 6773, 311, 6068, 279, 1584, 11, 26907, 11, 323, 3235, 449, 279, 1584, 11, 264, 8941, 315, 8056, 9515, 323, 25761, 505, 2225, 9698, 13, 128003, 128005, 287, 567, 717, 513, 447, 1037, 1532, 1477, 961, 1100, 138, 1055, 376, 549, 836, 41, 153, 372, 1138, 295, 1300, 1048, 1401, 1217, 1828, 1558, 592, 1374, 1018, 996, 1757, 858, 1300, 124, 882, 1729, 1027, 1651, 1502, 1494, 607, 1372, 1350, 926, 665, 1540, 973, 1340, 1112, 1404, 1761, 184, 1606, 315, 848, 213, 230, 117, 198, 1283, 858, 1276, 9, 376, 13, 158, 715, 393, 248, 1686, 741, 1335, 1340, 321, 615, 1331, 847, 576, 1765, 782, 48, 1765, 1002, 297, 1764, 1400, 616, 1580, 384, 428, 409, 1088, 1649, 1364, 1820, 1826, 1636, 532, 702, 1180, 475, 1482, 985, 210, 1804, 370, 492, 1300, 142, 1473, 1344, 841, 302, 1623, 1424, 1414, 1404, 1462, 1404, 1400, 1746, 1036, 1400, 1714, 1053, 1500, 1306, 1139, 1735, 1104, 1797, 1033, 1495, 772, 712, 1528, 1383, 103, 713, 1600, 1001, 1256, 1235, 55, 1519, 123, 1614, 642, 1595, 200, 1694, 1075, 1257, 1701, 1674, 1824, 129, 714, 6, 239, 1307, 1126, 173, 834, 637, 1066, 1690, 364, 1127, 98, 725, 629, 1176, 1487, 1776, 1330, 863, 700, 485, 510, 1278, 440, 315, 328, 943, 880, 1150, 604, 173, 1801, 146, 1307, 324, 1203, 524, 384, 1647, 1087, 886, 1427, 1596, 1248, 1740, 1089, 1011, 1030, 1422, 1472, 1607, 1142, 932, 1479, 1682, 1755, 11, 1410, 1094, 985, 1466, 997, 1461, 374, 1118, 809, 1102, 755, 1192, 106, 1162, 221, 797, 961, 106, 1232, 53, 1180, 887, 127, 1431, 987, 1108, 1437, 1504, 1429, 1731, 1658, 1462, 861, 1720, 1714, 1322, 1677, 1327, 1669, 1583, 1122, 58, 83, 1435, 1526, 289, 1645, 1071, 191, 1723, 670, 1312, 1288, 679, 326, 1389, 951, 1186, 402, 39, 443, 565, 491, 547, 498, 1107, 164, 882, 1113, 181, 1533, 29, 502, 48, 1459, 714, 1647, 844, 289, 310, 1811, 1675, 849, 774, 473, 858, 1769, 1400, 1364, 1099, 1741, 1191, 1743, 1438, 907, 30, 268, 395, 148, 1259, 382, 1368, 385, 1410, 1661, 848, 218, 239, 335, 750, 1298, 560, 836, 63, 320, 834, 1247, 1259, 1484, 794, 682, 1243, 1306, 1117, 1004, 184, 644, 1410, 400, 388, 123, 1270, 769, 376, 1554, 947, 1591, 1625, 1798, 861, 1682, 636, 1391, 1061, 1777, 1393, 822, 1754, 1342, 1349, 1489, 231, 1699, 1714, 1021, 1181, 1496, 995, 923, 620, 879, 1434, 1097, 1129, 208, 1036, 179, 282, 1758, 364, 1733, 1353, 1097, 1087, 678, 1438, 961, 1791, 695, 875, 1494, 291, 615, 1308, 1122, 93, 182, 1047, 521, 521, 143, 57, 1081, 239, 1476, 1484, 428, 455, 1488, 1097, 1257, 400, 374, 1006, 1752, 1506, 1456, 1796, 1685, 1002, 1127, 1192, 1773, 868, 252, 1572, 1272, 116, 702, 1004, 514, 1800, 408, 1368, 1147, 73, 1226, 352, 1720, 215, 1811, 147, 1682, 422, 1375, 402, 1718, 860, 701, 95, 1781, 282, 1645, 1342, 721, 1781, 1800, 1816, 1737, 416, 782, 67, 1720, 1395, 1256, 1573, 1261, 1066, 1075, 1135, 983, 63, 98, 1720, 1462, 1437, 57, 443, 1811, 1170, 55, 1386, 1588, 55, 1701, 565, 1369, 1002, 48, 1568, 1008, 938, 297, 131, 1002, 216, 1250, 158, 1791, 780, 983, 1748, 154, 860, 1341, 1567, 18, 576, 1798, 962, 191, 1685, 510, 1374, 26, 1407, 1091, 695, 1694, 848, 738, 640, 644, 1694, 1712, 1530, 927, 1332, 1770, 239, 1795, 1583, 1105, 610, 1738, 82, 1605, 386, 1051, 221, 1136, 1045, 467, 1227, 173, 1277, 152, 1006, 441, 1344, 1138, 687, 1485, 1656, 1261, 1014, 1374, 1787, 368, 510, 858, 493, 409, 1412, 1027, 1524, 1738, 895, 1667, 1703, 1617, 939, 885, 1367, 971, 854, 1770, 1292, 26, 1033, 1146, 1322, 86, 649, 1137, 516, 1104, 1421, 693, 454, 441, 1492, 556, 841, 67, 790, 1221, 759, 1083, 1161, 780, 1013, 1825, 828, 1338, 1714, 1708, 1241, 1161, 1737, 1337, 1524, 1682, 1443, 483, 1119, 647, 1286, 471, 1372, 1141, 759, 679, 290, 1001, 1350, 849, 1429, 510, 682, 1676, 833, 756, 98, 701, 945, 1750, 368, 917, 1664, 920, 1710, 448, 927, 1364, 485, 1668, 1644, 1717, 1418, 1681, 1805, 495, 1404, 1427, 1342, 1670, 1563, 736, 1824, 927, 368, 1225, 1325, 1102, 664, 755, 951, 461, 955, 1015, 768, 184, 1502, 1492, 1311, 940, 1729, 1554, 890, 109, 559, 1099, 1564, 22, 82, 1785, 1097, 525, 1507, 1713, 755, 252, 134, 1701, 642, 126, 1643, 1649, 1757, 1621, 1781, 1087, 1813, 999, 1460, 623, 1754, 595, 644, 1528, 376, 1274, 1027, 539, 1623, 1452, 702, 1638, 1832, 987, 911, 853, 654, 1409, 554, 1409, 713, 876, 640, 1081, 1568, 409, 844, 38, 844, 1583, 26, 1831, 493, 782, 1037, 165, 156, 219, 244, 167, 128011, 128001 ]

[ 128000, 128002, 10156, 2751, 279, 31468, 13, 15668, 12703, 13, 1628, 1457, 1063, 315, 279, 47728, 34947, 704, 13, 128003, 128005, 379, 1057, 821, 1642, 1364, 1117, 575, 938, 560, 1267, 631, 1056, 1283, 315, 714, 1283, 276, 719, 154, 1410, 1667, 176, 1730, 1383, 34, 666, 1639, 1360, 1752, 1180, 1237, 382, 115, 1237, 147, 1147, 81, 1174, 113, 1253, 1019, 516, 1195, 1526, 1225, 1364, 955, 1761, 656, 397, 399, 599, 1240, 780, 1171, 1278, 434, 1178, 543, 308, 1776, 579, 1307, 1047, 858, 393, 1190, 186, 794, 1147, 1125, 1186, 827, 841, 1237, 872, 1497, 1331, 1117, 1708, 239, 1521, 1824, 1671, 1338, 1565, 1400, 1128, 1379, 1347, 1669, 1786, 1610, 1403, 1069, 547, 100, 293, 1645, 170, 1520, 206, 228, 814, 270, 69, 367, 1461, 100, 1494, 1394, 129, 637, 372, 52, 1310, 50, 202, 454, 599, 855, 656, 521, 1196, 330, 1105, 270, 228, 352, 1253, 535, 956, 104, 146, 352, 700, 393, 1173, 178, 868, 1058, 1091, 949, 1762, 1500, 1736, 1404, 1212, 1038, 1342, 1682, 1279, 400, 1010, 1393, 1370, 1144, 1175, 1632, 1118, 989, 693, 1305, 929, 449, 672, 526, 638, 1306, 1110, 1066, 767, 868, 1761, 794, 1027, 738, 781, 682, 1249, 943, 951, 239, 371, 825, 1088, 386, 1780, 874, 48, 230, 577, 183, 320, 1376, 328, 298, 1344, 1156, 208, 1136, 29, 940, 1069, 1068, 1340, 631, 1526, 721, 467, 1709, 1757, 1596, 1019, 678, 864, 703, 1681, 1435, 1453, 1489, 438, 1792, 985, 736, 1785, 1803, 1095, 147, 63, 877, 367, 359, 1344, 128, 806, 361, 508, 293, 616, 1323, 46, 113, 1093, 205, 844, 1471, 1419, 1235, 1588, 335, 714, 1793, 642, 955, 532, 100, 571, 1235, 656, 1237, 295, 182, 98, 0, 1435, 1631, 1002, 1651, 10, 320, 1034, 202, 1349, 640, 1457, 1402, 1798, 1344, 395, 310, 1088, 1195, 1325, 356, 197, 249, 1240, 1336, 1681, 1329, 1537, 1833, 1634, 1799, 1283, 6, 1110, 997, 844, 797, 874, 170, 106, 1015, 958, 173, 508, 687, 408, 783, 1412, 565, 48, 1660, 1083, 891, 1117, 1235, 1412, 538, 165, 244, 244, 244, 128011, 128001 ]

[ 128000, 128002, 1966, 311, 31006, 505, 5734, 323, 15341, 1694, 832, 315, 1124, 1606, 568, 574, 3604, 5128, 3345, 311, 3794, 264, 4984, 11, 719, 3403, 39959, 754, 503, 49709, 13, 358, 2846, 2133, 311, 26251, 264, 5743, 9364, 315, 1461, 505, 279, 5818, 8800, 279, 4264, 1070, 13, 2100, 568, 9922, 304, 279, 1093, 6007, 1501, 91178, 323, 358, 14224, 527, 91178, 13, 128003, 128005, 509, 567, 445, 563, 1045, 1477, 339, 614, 1069, 1105, 1200, 521, 376, 55, 756, 297, 1358, 943, 679, 682, 738, 1822, 502, 428, 202, 129, 1439, 1337, 362, 191, 1688, 1547, 1733, 416, 865, 1435, 823, 556, 1365, 731, 508, 1591, 1, 269, 1538, 1627, 1388, 1492, 1429, 592, 525, 546, 719, 107, 546, 836, 1637, 452, 783, 10, 1537, 1790, 1682, 1189, 1320, 1801, 1347, 1367, 1326, 1287, 519, 1833, 1422, 1543, 1701, 26, 1665, 1216, 1046, 965, 775, 770, 960, 961, 1805, 455, 1669, 637, 935, 1349, 55, 1575, 1524, 1662, 631, 1, 1256, 62, 833, 1276, 791, 408, 269, 1098, 408, 1125, 657, 1412, 552, 1036, 402, 1826, 521, 1313, 41, 319, 1339, 22, 302, 1411, 764, 1280, 1073, 303, 1002, 809, 1053, 408, 639, 1814, 41, 979, 1245, 1611, 570, 386, 1808, 715, 1497, 1470, 1406, 1422, 1336, 416, 1339, 1711, 1019, 1616, 935, 333, 1136, 1792, 592, 1102, 320, 1645, 903, 1074, 1368, 175, 1718, 792, 1735, 1792, 1412, 117, 1433, 1788, 1079, 470, 418, 1553, 849, 892, 1749, 631, 1409, 1283, 41, 1238, 1726, 483, 1722, 983, 1255, 1069, 1707, 1019, 1798, 716, 1609, 1263, 1062, 1511, 497, 191, 1372, 1253, 1147, 682, 443, 725, 1330, 1256, 847, 520, 1810, 1400, 742, 1669, 1457, 1048, 1795, 1235, 642, 128, 191, 383, 741, 775, 759, 831, 881, 836, 1446, 1270, 909, 990, 806, 1536, 1685, 1152, 1334, 0, 1087, 773, 614, 1765, 931, 1369, 848, 132, 549, 189, 407, 1139, 356, 1313, 18, 1344, 1755, 263, 1506, 1493, 315, 1388, 959, 679, 1764, 1774, 1177, 503, 1460, 123, 1502, 546, 239, 1382, 138, 1081, 206, 956, 723, 172, 461, 433, 1588, 637, 909, 1082, 901, 725, 372, 1091, 1318, 944, 639, 479, 214, 1146, 362, 593, 1349, 1593, 1684, 1450, 1777, 1511, 886, 1748, 1104, 1726, 1111, 847, 1675, 1210, 400, 1243, 1691, 1441, 1445, 945, 1794, 980, 1238, 310, 1749, 1791, 1764, 1278, 1300, 1024, 767, 1795, 1743, 73, 688, 1781, 1041, 491, 1702, 794, 1026, 640, 491, 1812, 687, 949, 1283, 430, 858, 213, 1166, 1532, 6, 1370, 746, 362, 1443, 1091, 36, 1354, 848, 1545, 895, 702, 1689, 865, 1034, 1473, 1018, 269, 714, 127, 1308, 1637, 1502, 1287, 1801, 768, 1830, 587, 911, 1258, 1018, 1698, 700, 1157, 1237, 989, 1534, 1690, 1791, 1417, 1130, 1330, 1065, 966, 1725, 1026, 1281, 139, 1252, 1830, 1234, 98, 1690, 1147, 1563, 1004, 191, 963, 920, 493, 1457, 587, 807, 780, 962, 1553, 679, 885, 1493, 1337, 1114, 1431, 1287, 1774, 176, 50, 782, 507, 231, 1349, 50, 1519, 634, 1354, 1722, 101, 1383, 649, 1570, 1722, 841, 294, 367, 380, 498, 402, 477, 479, 254, 887, 1407, 700, 1819, 1434, 890, 0, 320, 870, 1170, 239, 1730, 1410, 1521, 1556, 1160, 1830, 1393, 927, 1770, 1036, 1476, 1752, 347, 1818, 1496, 1329, 1360, 1153, 1738, 1118, 1556, 673, 762, 1195, 9, 1278, 759, 789, 1766, 719, 1541, 725, 1560, 1365, 1460, 1336, 1789, 522, 1191, 203, 270, 791, 658, 573, 105, 73, 607, 202, 1110, 1607, 1073, 1633, 1746, 1206, 9, 1047, 1256, 1272, 1462, 1253, 1454, 1774, 1828, 1645, 249, 1540, 1365, 935, 1699, 1737, 126, 361, 828, 1395, 678, 536, 1365, 1259, 1675, 1591, 890, 515, 1520, 952, 738, 1215, 1181, 1593, 1286, 102, 536, 736, 1203, 587, 341, 1593, 1230, 1097, 200, 397, 506, 1769, 1169, 1502, 51, 917, 679, 1726, 1456, 1172, 1711, 1149, 1170, 1351, 1827, 736, 1323, 1553, 1405, 1750, 748, 1722, 1637, 1625, 645, 1097, 333, 796, 1407, 884, 1175, 532, 1379, 609, 616, 1175, 321, 1819, 1247, 395, 1581, 1766, 1501, 1426, 1447, 1804, 183, 310, 78, 872, 474, 1607, 595, 992, 479, 1226, 545, 1221, 847, 1014, 57, 1367, 291, 1717, 657, 1381, 1253, 326, 1662, 1774, 1243, 1534, 1739, 1464, 1071, 1481, 1414, 1279, 1583, 1385, 1355, 1685, 1458, 1411, 1763, 1495, 1637, 1793, 1164, 1717, 1648, 1306, 1157, 563, 1043, 638, 316, 651, 735, 723, 1186, 1356, 1753, 617, 862, 1485, 312, 909, 1745, 1333, 1326, 682, 503, 1675, 1320, 1506, 844, 214, 1339, 902, 1815, 98, 1530, 736, 502, 1376, 67, 1649, 328, 26, 1494, 1078, 1364, 1731, 863, 920, 748, 1035, 1769, 1572, 4, 1002, 979, 844, 1735, 1351, 1682, 1632, 1492, 589, 321, 1135, 880, 587, 215, 789, 715, 115, 73, 1351, 339, 705, 1340, 1415, 1698, 1422, 108, 1139, 510, 863, 1412, 678, 657, 1677, 368, 1540, 1677, 1439, 1809, 1306, 797, 937, 1649, 741, 491, 1750, 1423, 1581, 1770, 1537, 1635, 1752, 907, 1014, 1795, 1507, 1765, 1704, 824, 1333, 1139, 1812, 1489, 1665, 1200, 254, 312, 495, 849, 742, 1772, 4, 1778, 430, 1567, 1820, 746, 1766, 757, 1059, 1376, 536, 1801, 1166, 1591, 448, 230, 1552, 725, 1716, 1492, 1122, 1252, 725, 221, 798, 1073, 1191, 678, 931, 877, 110, 783, 1775, 1325, 1831, 1410, 368, 1683, 1212, 828, 678, 52, 1463, 637, 126, 1381, 1057, 1213, 1260, 175, 1463, 1482, 815, 1225, 519, 1715, 1212, 1744, 1668, 440, 1717, 1411, 231, 1822, 1399, 203, 617, 1697, 853, 497, 128, 1252, 446, 996, 1119, 768, 1308, 73, 65, 1416, 1330, 1450, 1048, 1663, 184, 1409, 665, 969, 949, 1056, 1335, 1429, 1382, 1809, 1636, 1093, 1405, 1791, 815, 1144, 1735, 1186, 65, 455, 1623, 231, 312, 935, 938, 1615, 312, 1224, 640, 63, 506, 1735, 333, 834, 662, 1379, 1482, 1025, 231, 917, 1306, 350, 682, 1267, 640, 1270, 200, 1690, 782, 1537, 1129, 1462, 1771, 1174, 723, 1224, 1136, 1404, 411, 1260, 1040, 116, 1218, 1040, 876, 1651, 13, 1506, 1146, 1081, 593, 1704, 1786, 1566, 416, 4, 1698, 1438, 1300, 688, 1669, 1618, 1157, 1127, 1262, 628, 875, 943, 1698, 1552, 315, 1744, 592, 1217, 239, 330, 1822, 1175, 344, 1699, 1175, 1792, 1271, 847, 683, 297, 1733, 1665, 822, 109, 867, 1350, 1581, 750, 191, 1467, 701, 856, 1406, 685, 1004, 1444, 1500, 383, 664, 1335, 714, 787, 658, 682, 1427, 658, 1506, 1611, 1002, 921, 1489, 1462, 717, 1714, 1504, 1079, 1646, 1118, 1104, 1638, 1037, 117, 639, 1393, 328, 1489, 1104, 1230, 1205, 1139, 1817, 1393, 1364, 1385, 1329, 1583, 1556, 1034, 1817, 1028, 1175, 1648, 1215, 1817, 460, 1145, 762, 896, 409, 713, 7, 1342, 1174, 934, 479, 162, 1058, 753, 110, 1341, 348, 836, 98, 1535, 347, 1661, 176, 110, 1760, 7, 104, 1081, 1471, 49, 100, 1083, 714, 1341, 1510, 1212, 1123, 1495, 1776, 1647, 596, 1331, 654, 1082, 1714, 388, 1410, 1341, 290, 617, 1422, 100, 1006, 697, 759, 1520, 282, 858, 1019, 380, 1365, 882, 416, 86, 1652, 1161, 1541, 781, 1755, 1331, 154, 1483, 736, 1766, 1498, 858, 1086, 749, 943, 969, 132, 983, 1374, 599, 806, 848, 794, 41, 1002, 1804, 1078, 348, 1674, 1532, 783, 1669, 493, 1605, 1624, 1218, 1752, 1805, 1167, 1599, 1491, 216, 612, 1050, 1520, 1327, 231, 1100, 1021, 556, 184, 1676, 701, 18, 191, 1783, 802, 320, 217, 1826, 947, 860, 716, 1741, 441, 806, 1447, 797, 549, 408, 1702, 349, 1378, 430, 716, 1798, 1801, 1301, 1489, 1694, 1422, 33, 870, 315, 556, 1259, 335, 1355, 736, 782, 1435, 1376, 1332, 1831, 308, 1492, 1450, 1369, 1581, 750, 1756, 1342, 1457, 1058, 1296, 333, 1772, 739, 1686, 1728, 1439, 1537, 1387, 1624, 1828, 333, 1736, 1753, 26, 1554, 18, 1082, 1733, 335, 1412, 1342, 889, 1404, 769, 980, 1462, 741, 557, 1332, 1310, 1424, 388, 191, 1503, 775, 214, 1670, 1423, 1473, 1646, 1209, 1353, 1666, 1158, 1607, 1676, 716, 716, 177, 766, 1328, 564, 584, 1044, 272, 1144, 449, 744, 1413, 32, 1684, 975, 1181, 625, 387, 727, 436, 986, 799, 281, 555, 975, 351, 674, 501, 1176, 1082, 852, 567, 1528, 1748, 927, 556, 1766, 999, 1298, 977, 1127, 1072, 309, 326, 1682, 306, 1258, 1147, 53, 1745, 370, 1119, 966, 1399, 98, 1181, 1209, 1414, 1355, 1166, 368, 1441, 519, 1761, 1774, 1766, 1340, 310, 1390, 1485, 913, 1314, 1113, 1192, 1247, 973, 1400, 828, 782, 719, 1141, 1439, 1235, 1433, 254, 1065, 1113, 571, 628, 1126, 386, 441, 1107, 146, 1201, 1365, 774, 1799, 490, 1276, 1115, 1337, 913, 1287, 286, 1217, 213, 549, 454, 202, 28, 713, 1726, 1104, 326, 823, 794, 681, 1332, 1209, 1437, 1298, 1275, 565, 1712, 1055, 1053, 1463, 1280, 1425, 1178, 932, 1144, 1808, 1813, 399, 400, 1098, 356, 1098, 512, 782, 1298, 173, 552, 872, 147, 1326, 339, 951, 868, 1072, 236, 179, 1132, 755, 402, 1110, 1042, 1127, 361, 1765, 1216, 1158, 1279, 1005, 1436, 320, 1166, 962, 46, 989, 471, 1342, 793, 1337, 820, 1681, 0, 1410, 927, 334, 165, 219, 244, 244, 167, 128011, 128001 ]

[ 128000, 128002, 23956, 374, 1093, 279, 6293, 1501, 430, 1461, 323, 37080, 18925, 4091, 59335, 304, 13, 1102, 596, 1027, 264, 1317, 892, 2533, 358, 3077, 15746, 9878, 288, 6785, 323, 45503, 13, 128003, 128005, 712, 487, 458, 447, 1198, 671, 1091, 112, 1396, 849, 1047, 1653, 440, 1337, 50, 858, 1272, 822, 367, 716, 231, 110, 1615, 315, 1441, 1387, 1790, 1173, 456, 319, 565, 1245, 218, 374, 802, 107, 1762, 1766, 363, 1489, 736, 1130, 764, 1029, 520, 1769, 1451, 850, 1170, 886, 1671, 1053, 1423, 1412, 1143, 408, 1731, 573, 73, 1206, 955, 76, 1184, 408, 446, 1258, 271, 1135, 961, 1407, 1409, 1425, 1188, 1716, 1041, 858, 1500, 452, 1057, 1436, 780, 1215, 1160, 1271, 768, 376, 1620, 499, 1191, 1415, 87, 1674, 996, 1754, 864, 779, 884, 475, 1365, 1057, 514, 702, 1818, 804, 669, 1447, 1100, 1400, 386, 1645, 452, 1066, 412, 1203, 82, 1320, 571, 422, 1404, 386, 1443, 372, 1156, 1473, 1466, 775, 1772, 1098, 1534, 1432, 1495, 1829, 176, 1256, 123, 1485, 947, 759, 217, 1786, 556, 205, 1757, 947, 395, 1467, 1009, 945, 742, 995, 1400, 48, 1637, 1824, 638, 1405, 1504, 1716, 1451, 1186, 1002, 847, 1326, 546, 847, 184, 962, 158, 1654, 940, 1446, 767, 109, 1085, 616, 1480, 1415, 272, 1315, 423, 1819, 714, 1206, 1525, 616, 1555, 411, 540, 1374, 456, 1724, 979, 234, 74, 753, 889, 1190, 52, 230, 63, 122, 834, 1566, 293, 443, 399, 1164, 1759, 143, 843, 796, 829, 1788, 678, 814, 239, 341, 627, 1004, 506, 1722, 629, 31, 1618, 211, 1716, 1061, 483, 63, 1596, 398, 1204, 153, 1624, 1308, 298, 471, 1473, 742, 29, 1594, 319, 1091, 1755, 409, 1563, 1618, 822, 1258, 1089, 1761, 1189, 276, 500, 214, 1666, 1175, 931, 48, 546, 549, 175, 276, 886, 202, 218, 1342, 276, 599, 440, 357, 1175, 713, 1283, 426, 1349, 1043, 1198, 997, 552, 753, 931, 910, 36, 105, 825, 157, 1178, 937, 152, 646, 206, 217, 250, 81, 197, 1415, 599, 1433, 1699, 1286, 926, 1364, 1300, 1656, 1139, 1247, 1089, 407, 1438, 483, 1002, 1690, 295, 1804, 400, 1263, 882, 1772, 1800, 774, 804, 558, 1526, 1671, 1761, 134, 1535, 921, 316, 1397, 188, 964, 1071, 674, 1657, 763, 86, 377, 845, 659, 257, 936, 274, 567, 624, 686, 603, 651, 1244, 396, 1028, 1830, 1652, 1082, 735, 1292, 1519, 301, 1057, 1556, 1033, 989, 752, 724, 1397, 437, 785, 1251, 630, 1383, 1654, 713, 356, 1349, 822, 1741, 1816, 1156, 829, 461, 1300, 170, 1015, 1738, 228, 1253, 648, 215, 1670, 500, 798, 1534, 293, 205, 1124, 102, 270, 580, 228, 892, 783, 100, 1326, 13, 128, 1502, 1400, 1437, 1723, 549, 577, 640, 1002, 1210, 1136, 364, 1229, 370, 571, 1077, 186, 768, 682, 324, 536, 1776, 822, 1335, 1069, 987, 1214, 844, 1296, 213, 315, 640, 1468, 1331, 774, 856, 1546, 129, 124, 399, 1177, 545, 1335, 985, 474, 1059, 212, 1784, 371, 1356, 467, 1621, 1069, 1809, 1731, 1434, 1093, 319, 353, 1646, 511, 1719, 82, 86, 115, 1213, 205, 931, 1449, 402, 1425, 1620, 1651, 1651, 714, 1241, 1466, 1217, 1754, 1793, 1638, 1705, 1565, 1223, 1044, 1226, 887, 1365, 1310, 1427, 1403, 1382, 521, 895, 1056, 1406, 1457, 1266, 529, 1376, 1470, 166, 384, 1638, 599, 1646, 1568, 0, 1154, 1132, 721, 1410, 248, 1496, 474, 1438, 1325, 236, 976, 1001, 872, 1263, 1736, 599, 1068, 1223, 1426, 1417, 1583, 1554, 775, 237, 1424, 1303, 907, 1666, 380, 1109, 1429, 958, 1629, 775, 719, 1618, 4, 346, 1370, 315, 1160, 28, 1287, 1648, 1370, 999, 1421, 1287, 901, 1236, 1240, 1510, 1330, 1820, 1589, 839, 1432, 1674, 1762, 1648, 307, 630, 1154, 37, 1142, 449, 526, 1255, 1321, 1436, 230, 1436, 1450, 185, 165, 244, 244, 128011, 128001 ]

[ 128000, 128002, 4071, 358, 2846, 1633, 24450, 369, 279, 5818, 29026, 63911, 11, 279, 1176, 832, 311, 2586, 389, 279, 23469, 11, 539, 23469, 11, 16795, 12623, 304, 279, 4498, 13, 358, 2846, 5128, 2771, 433, 374, 13, 2100, 358, 8659, 690, 3821, 1124, 13, 128003, 128005, 495, 322, 672, 1131, 199, 247, 680, 1707, 1147, 1042, 1426, 53, 836, 1082, 147, 876, 454, 25, 1645, 549, 951, 1056, 1240, 1141, 1168, 1077, 1309, 495, 438, 1489, 1325, 1206, 1197, 579, 695, 1439, 860, 1330, 1009, 519, 455, 935, 1621, 1532, 126, 530, 1215, 1615, 1775, 1029, 1196, 1221, 356, 970, 393, 682, 1257, 537, 952, 1420, 162, 1520, 969, 407, 1581, 1432, 1247, 1453, 1687, 1690, 1294, 821, 1426, 1535, 298, 1427, 1617, 1238, 1455, 1376, 1588, 1653, 62, 1369, 1628, 1519, 86, 878, 1820, 1219, 277, 1533, 1780, 498, 1336, 1423, 759, 1736, 1143, 913, 1787, 844, 1633, 870, 714, 1776, 493, 1485, 1410, 858, 1798, 1411, 1238, 938, 328, 1701, 1690, 105, 1490, 1510, 1268, 1544, 644, 932, 1805, 1046, 1389, 1533, 48, 184, 268, 1417, 1259, 879, 844, 30, 217, 98, 1631, 1410, 932, 862, 1732, 1285, 1104, 321, 1369, 231, 742, 930, 29, 859, 1166, 1249, 788, 835, 1565, 1008, 1589, 57, 932, 546, 214, 1288, 882, 503, 824, 1485, 835, 1250, 890, 1763, 454, 898, 1120, 746, 143, 615, 1035, 1313, 1726, 33, 184, 920, 428, 1787, 533, 1646, 1456, 1021, 1045, 426, 1809, 470, 620, 693, 31, 895, 1500, 1318, 911, 1320, 678, 1758, 340, 664, 945, 178, 1097, 637, 128, 983, 517, 79, 1081, 1104, 1663, 1431, 132, 1516, 748, 1495, 1800, 1439, 656, 1807, 634, 1532, 1200, 1042, 1077, 1411, 520, 1594, 308, 806, 802, 1136, 344, 678, 1798, 780, 738, 867, 1081, 1396, 1451, 529, 1558, 1376, 1394, 1363, 1287, 1830, 1320, 105, 1381, 1411, 297, 1783, 1624, 1833, 1175, 485, 1057, 1308, 1063, 1098, 125, 444, 1367, 1400, 116, 1659, 375, 1615, 213, 452, 736, 631, 1711, 1651, 806, 1828, 1166, 1068, 1524, 791, 1381, 1498, 1078, 702, 664, 1639, 1365, 1830, 1635, 486, 1752, 1668, 1714, 788, 1716, 1034, 1532, 1489, 1034, 1741, 1230, 1175, 1799, 1214, 495, 86, 649, 693, 313, 968, 1667, 1059, 977, 1342, 687, 748, 1528, 473, 1447, 656, 1711, 1329, 1206, 887, 860, 571, 1113, 790, 1330, 952, 92, 1243, 1811, 642, 730, 1462, 764, 83, 1427, 847, 841, 966, 128, 1335, 1611, 1517, 1537, 508, 397, 1336, 1393, 1034, 13, 1249, 962, 55, 928, 864, 1386, 1441, 1335, 512, 179, 1437, 347, 147, 41, 292, 260, 1808, 1261, 815, 1367, 1829, 1071, 1797, 1797, 1091, 714, 1046, 1493, 1324, 635, 1584, 1280, 1030, 927, 1330, 1464, 1762, 1414, 1088, 577, 556, 46, 1583, 1527, 1744, 1716, 1720, 1755, 913, 1429, 1326, 1331, 1166, 303, 1498, 1310, 1670, 1372, 1465, 1083, 1766, 1773, 1347, 19, 1647, 1304, 1305, 1352, 1185, 895, 495, 1711, 1739, 1179, 1486, 1556, 1058, 1261, 27, 963, 666, 1718, 1, 122, 1583, 1283, 1035, 1016, 101, 438, 1634, 1270, 1326, 793, 595, 488, 834, 340, 790, 825, 848, 774, 1027, 122, 648, 519, 1027, 1494, 1330, 47, 1633, 714, 409, 182, 217, 1528, 296, 98, 1657, 1673, 1006, 1713, 1458, 927, 844, 1632, 231, 1631, 1667, 934, 898, 1794, 82, 197, 642, 777, 1098, 309, 102, 756, 303, 756, 1392, 510, 1221, 1422, 714, 407, 400, 195, 1364, 556, 320, 999, 556, 1364, 1631, 0, 1265, 1310, 1366, 1473, 911, 191, 1408, 1175, 197, 875, 1451, 184, 1807, 741, 1409, 1521, 1588, 1633, 1342, 0, 1397, 749, 1724, 1349, 493, 1271, 1195, 424, 1427, 855, 367, 1271, 112, 1202, 359, 36, 1189, 657, 1189, 1183, 545, 1712, 880, 1068, 1591, 1755, 1629, 1414, 1435, 1526, 1331, 860, 783, 1314, 1041, 1506, 1439, 48, 17, 1170, 1008, 99, 772, 1453, 1313, 1241, 1478, 1355, 1683, 1193, 1206, 397, 1488, 1563, 1384, 833, 1065, 1656, 15, 1715, 1441, 949, 1615, 889, 1761, 631, 1061, 1797, 919, 1755, 1155, 1178, 1534, 1208, 882, 134, 940, 143, 583, 1322, 878, 1274, 1821, 688, 1392, 1, 1443, 19, 1337, 917, 1470, 1607, 1681, 577, 1661, 38, 407, 1580, 198, 1638, 19, 424, 1006, 827, 829, 1097, 1271, 277, 1438, 1427, 372, 1058, 1379, 1257, 954, 1735, 1185, 1147, 570, 294, 29, 393, 723, 604, 841, 1014, 1661, 1636, 1748, 782, 1680, 1180, 1156, 1423, 1342, 644, 856, 1490, 1067, 1153, 644, 269, 1777, 980, 395, 1490, 1146, 917, 1315, 1774, 389, 625, 910, 1231, 269, 1142, 616, 274, 1150, 1625, 1103, 514, 692, 1049, 1540, 301, 994, 1356, 879, 123, 1194, 1210, 422, 147, 1424, 76, 1420, 836, 1005, 653, 1385, 1424, 1716, 1766, 239, 1287, 407, 1400, 328, 736, 1383, 1682, 1378, 965, 1235, 700, 1804, 1399, 1234, 1098, 1492, 1501, 1754, 1341, 1230, 893, 336, 1223, 1784, 1735, 227, 165, 244, 244, 128011, 128001 ]

[ 128000, 128002, 4599, 814, 4295, 16795, 45762, 719, 369, 1457, 358, 2846, 1120, 2133, 1022, 5044, 311, 387, 6724, 10978, 449, 499, 7752, 13, 2030, 379, 12791, 11, 358, 4510, 41578, 56147, 716, 323, 279, 54304, 44396, 388, 11, 358, 1781, 430, 574, 279, 836, 11, 323, 33093, 88, 323, 22862, 75, 38800, 323, 27200, 1729, 11, 814, 1051, 682, 10307, 279, 559, 12, 499, 1440, 11, 279, 2875, 477, 6007, 4101, 477, 8996, 433, 374, 11, 1120, 5353, 37080, 49422, 374, 1457, 1093, 872, 13697, 13, 128003, 128005, 986, 692, 624, 465, 883, 981, 444, 1465, 255, 1385, 934, 1392, 901, 616, 592, 876, 1082, 783, 1447, 1781, 783, 785, 940, 196, 1078, 740, 158, 257, 748, 823, 1310, 1102, 1170, 664, 1661, 510, 1252, 1471, 69, 1758, 1497, 796, 1743, 190, 898, 1776, 253, 1310, 678, 1357, 858, 911, 1493, 495, 1777, 1622, 781, 1658, 1813, 1375, 1388, 1383, 1303, 1648, 1057, 1686, 1403, 1647, 549, 828, 202, 1427, 320, 1427, 1426, 454, 1598, 1796, 1556, 449, 837, 1095, 832, 669, 1093, 1628, 1606, 1624, 1217, 1145, 614, 1763, 687, 1339, 656, 1792, 1240, 1664, 1240, 448, 33, 1711, 1521, 1683, 1300, 1581, 1485, 1779, 29, 1228, 1326, 28, 1464, 753, 694, 363, 1385, 516, 396, 696, 1731, 549, 1320, 1734, 231, 1637, 1078, 942, 341, 1498, 79, 524, 238, 87, 208, 1135, 393, 880, 138, 152, 191, 1002, 1237, 1761, 384, 132, 549, 52, 1088, 493, 1310, 1687, 639, 1769, 1306, 1098, 1378, 1134, 1212, 1720, 979, 1786, 1164, 1139, 1735, 1175, 1649, 1746, 1432, 1806, 805, 620, 1285, 509, 1474, 1495, 1110, 1209, 983, 1727, 1757, 758, 1762, 1355, 1535, 1230, 1261, 1483, 757, 1739, 320, 738, 1228, 182, 815, 1524, 874, 1180, 452, 1075, 560, 324, 864, 208, 128, 376, 83, 616, 1226, 535, 39, 1800, 321, 1572, 1034, 688, 196, 239, 917, 1679, 658, 1753, 202, 714, 1519, 67, 1649, 979, 687, 1799, 715, 1298, 1489, 579, 1806, 1682, 1259, 809, 1263, 1147, 1324, 57, 455, 1820, 1147, 688, 1733, 57, 1336, 1024, 682, 1537, 798, 1329, 81, 828, 665, 221, 1766, 221, 1333, 705, 1278, 1341, 1710, 637, 1642, 1797, 1803, 1282, 439, 325, 1296, 317, 1325, 1171, 186, 520, 1139, 498, 952, 979, 1350, 1531, 1411, 1257, 1434, 1426, 1680, 277, 397, 1392, 1177, 1554, 1506, 270, 859, 764, 1408, 637, 567, 1069, 649, 614, 837, 302, 691, 1408, 355, 911, 917, 1021, 36, 990, 917, 1592, 1525, 1251, 911, 1671, 793, 1298, 1223, 607, 793, 616, 71, 1758, 646, 1777, 1646, 1730, 1777, 1277, 1454, 1466, 575, 1719, 858, 703, 154, 783, 1225, 913, 891, 1832, 1388, 1396, 1161, 1062, 901, 1392, 943, 621, 1638, 642, 1832, 142, 1801, 944, 913, 1282, 697, 1068, 1247, 1498, 560, 616, 1519, 983, 1615, 407, 1166, 399, 782, 1687, 239, 621, 1730, 725, 1243, 1166, 1537, 1781, 1756, 1727, 1730, 1292, 1124, 701, 949, 4, 1689, 1374, 1669, 697, 1403, 1356, 452, 179, 1103, 282, 1066, 1651, 956, 973, 67, 1304, 86, 700, 920, 1470, 510, 1002, 1450, 1679, 1704, 1411, 1646, 1738, 979, 1832, 1313, 1088, 1648, 400, 1795, 1458, 927, 1648, 1098, 1370, 957, 1036, 1817, 1683, 1164, 1767, 591, 649, 169, 1589, 626, 1611, 398, 945, 48, 1691, 1329, 1253, 137, 536, 1533, 221, 1308, 410, 115, 934, 300, 106, 1492, 140, 887, 349, 1066, 678, 790, 1243, 1827, 1774, 1819, 1611, 1455, 825, 945, 1323, 29, 1415, 1526, 452, 1432, 955, 631, 1624, 443, 1689, 1364, 1625, 1549, 1345, 1392, 1791, 1223, 1493, 775, 1330, 1416, 549, 1077, 109, 143, 1372, 1698, 822, 1107, 439, 1735, 1455, 1828, 41, 1709, 166, 1004, 1126, 1310, 1237, 195, 834, 576, 656, 1437, 1342, 503, 1752, 1808, 1285, 1797, 1717, 1208, 1127, 754, 441, 1460, 716, 1235, 268, 806, 508, 1150, 1143, 1384, 955, 155, 126, 789, 1256, 1612, 1373, 1325, 272, 1064, 1264, 984, 1024, 1429, 1754, 1436, 1705, 1164, 1059, 717, 1050, 1486, 1478, 1168, 307, 334, 680, 1148, 1797, 1385, 1477, 927, 723, 1286, 943, 1075, 592, 966, 767, 860, 1280, 943, 790, 13, 714, 1272, 570, 95, 454, 467, 1791, 400, 310, 895, 55, 1474, 1366, 1019, 1519, 374, 1783, 687, 1394, 50, 67, 1175, 129, 1342, 440, 315, 1532, 4, 1790, 1829, 519, 774, 615, 1687, 1485, 536, 1819, 764, 913, 1781, 695, 644, 1748, 1047, 557, 1751, 1015, 742, 1815, 1025, 776, 1268, 1762, 1303, 665, 1762, 1156, 514, 319, 1812, 548, 1391, 437, 266, 1079, 66, 1486, 1683, 728, 1037, 490, 251, 1128, 646, 275, 792, 145, 751, 251, 505, 935, 1643, 895, 1625, 398, 1290, 1018, 1382, 1318, 860, 395, 191, 1229, 1344, 864, 1825, 1272, 478, 1817, 719, 312, 1006, 1121, 1425, 1621, 1286, 1063, 1420, 211, 984, 1300, 503, 1185, 1521, 389, 918, 1374, 506, 42, 1225, 1488, 774, 397, 1006, 347, 949, 1584, 1166, 1218, 1554, 1056, 1741, 230, 1166, 1287, 315, 1400, 1376, 6, 1238, 399, 1126, 1109, 547, 757, 587, 138, 934, 592, 430, 1186, 637, 1166, 1804, 1827, 1786, 1745, 944, 1156, 714, 1018, 1443, 1221, 1335, 1828, 1241, 1498, 1042, 346, 1147, 1247, 955, 998, 753, 1680, 1776, 1300, 1426, 448, 648, 1748, 1420, 1501, 1468, 1332, 1453, 989, 1042, 1645, 656, 973, 384, 1287, 1280, 592, 1742, 1056, 1345, 994, 1160, 1455, 1330, 687, 787, 1024, 664, 850, 533, 616, 1461, 1633, 177, 820, 183, 1261, 1261, 524, 467, 374, 943, 25, 783, 1040, 173, 856, 1286, 787, 368, 346, 362, 687, 1470, 1519, 1296, 1627, 1225, 1370, 1042, 1493, 990, 1337, 520, 1756, 1270, 395, 1790, 493, 617, 1565, 310, 1792, 1494, 1446, 1431, 733, 1720, 583, 1104, 191, 1750, 1161, 850, 1375, 688, 1672, 1374, 317, 1637, 705, 1396, 715, 326, 1751, 966, 1406, 1439, 1374, 0, 1646, 1033, 1703, 26, 1270, 471, 621, 1486, 1139, 214, 1739, 407, 1267, 1175, 1058, 1146, 297, 1284, 860, 484, 1278, 37, 1722, 1331, 1217, 512, 1456, 1646, 955, 1226, 254, 798, 794, 1162, 402, 370, 1424, 146, 1203, 1369, 639, 1698, 5, 1429, 837, 83, 1608, 848, 1534, 298, 1506, 1240, 1284, 1454, 1284, 1770, 1771, 1061, 1553, 719, 1436, 1683, 989, 1777, 1458, 1175, 1553, 1292, 1665, 1251, 672, 1137, 77, 885, 1347, 1310, 789, 1423, 356, 779, 1174, 277, 1431, 133, 138, 1240, 840, 1272, 228, 1307, 456, 243, 855, 79, 277, 1140, 2, 1141, 359, 529, 183, 1318, 600, 126, 1295, 1368, 1340, 741, 589, 491, 524, 173, 764, 956, 173, 25, 521, 236, 614, 1416, 1160, 1437, 1761, 944, 1468, 714, 1342, 239, 944, 1083, 483, 648, 1625, 882, 126, 310, 1588, 1304, 1170, 1261, 57, 479, 1341, 344, 1002, 1482, 440, 1403, 1310, 308, 1226, 1018, 962, 1320, 308, 1214, 1476, 713, 1525, 333, 1573, 1668, 1527, 1145, 1747, 582, 676, 1570, 1242, 762, 1543, 1486, 1818, 876, 1681, 1027, 1340, 1341, 1734, 656, 123, 22, 658, 913, 1370, 621, 1819, 1113, 1444, 1351, 898, 1573, 628, 1635, 1468, 1008, 1685, 1488, 1573, 876, 1655, 1770, 671, 630, 80, 490, 1231, 761, 861, 174, 752, 377, 905, 1480, 505, 717, 505, 257, 824, 1242, 986, 986, 16, 727, 975, 762, 513, 257, 601, 923, 762, 584, 1711, 1351, 955, 1069, 882, 1132, 47, 370, 1281, 535, 589, 1473, 642, 1015, 656, 991, 756, 973, 1335, 1099, 1005, 831, 782, 1588, 1394, 599, 1412, 901, 440, 1404, 858, 1349, 1375, 1061, 966, 855, 1651, 1511, 63, 557, 805, 1633, 462, 1179, 1810, 462, 1311, 362, 214, 1489, 1345, 909, 1766, 1610, 1003, 1682, 813, 1099, 945, 752, 1476, 688, 1495, 143, 1092, 1337, 662, 1214, 217, 1003, 882, 935, 1766, 810, 971, 1776, 530, 624, 1268, 40, 981, 1433, 936, 1725, 1246, 447, 1523, 1760, 399, 448, 1450, 812, 1565, 1415, 361, 28, 1714, 1518, 1374, 1507, 619, 1272, 810, 821, 480, 928, 870, 662, 1567, 1139, 184, 1545, 990, 1470, 473, 166, 790, 1018, 50, 1212, 11, 746, 1496, 1366, 1770, 230, 617, 999, 508, 1357, 440, 503, 1024, 182, 1453, 202, 629, 1527, 1221, 1518, 592, 1337, 1387, 328, 1484, 665, 503, 1631, 395, 1348, 949, 1007, 616, 938, 73, 1693, 371, 1019, 858, 956, 755, 254, 626, 848, 827, 825, 1418, 1468, 1801, 1429, 239, 439, 1028, 205, 1239, 790, 1490, 790, 843, 1694, 1827, 1025, 1238, 756, 1491, 277, 1710, 1206, 356, 1651, 794, 295, 1069, 1775, 104, 1375, 1427, 895, 753, 399, 46, 790, 10, 556, 1411, 154, 1797, 1430, 1363, 1704, 1057, 1282, 1803, 1094, 1517, 1214, 767, 1809, 767, 719, 1458, 178, 1832, 1379, 1370, 1504, 1091, 1638, 1809, 849, 1784, 1215, 1024, 1144, 1290, 1385, 169, 852, 832, 765, 620, 899, 507, 895, 1468, 1175, 36, 1534, 372, 576, 4, 320, 175, 129, 1296, 1370, 202, 1677, 640, 368, 1448, 993, 1095, 1147, 1171, 112, 485, 660, 1739, 371, 730, 108, 1793, 552, 1642, 682, 1806, 794, 1374, 1296, 1773, 1674, 1699, 1792, 676, 1751, 719, 870, 1124, 438, 475, 831, 927, 475, 1563, 357, 1068, 745, 321, 804, 745, 395, 1782, 822, 317, 1284, 1738, 594, 918, 705, 953, 1029, 834, 1370, 234, 1669, 430, 1444, 26, 55, 1383, 864, 875, 1364, 317, 1035, 1267, 1524, 493, 1670, 399, 1270, 1477, 440, 214, 1164, 47, 653, 822, 268, 1255, 756, 1381, 1005, 1081, 1164, 1457, 1222, 990, 777, 1250, 787, 1233, 183, 848, 1296, 654, 319, 1832, 1661, 121, 868, 1790, 1224, 581, 609, 86, 446, 1147, 1301, 907, 1206, 946, 1330, 1311, 55, 1505, 1167, 587, 58, 123, 1316, 973, 407, 1457, 671, 1382, 1414, 1070, 1223, 523, 766, 1027, 1178, 997, 90, 790, 182, 1683, 973, 644, 1212, 363, 663, 1220, 355, 174, 1108, 307, 674, 1181, 275, 1717, 524, 622, 289, 153, 699, 492, 51, 841, 477, 138, 626, 65, 1140, 212, 977, 192, 186, 871, 228, 173, 828, 43, 1224, 860, 926, 384, 1252, 1718, 295, 858, 927, 577, 1411, 782, 1300, 1665, 1287, 1798, 1306, 1410, 1803, 1170, 719, 1432, 1422, 128011, 128001 ]

[ 128000, 128002, 3112, 568, 5992, 1093, 420, 323, 568, 596, 264, 2697, 1099, 6895, 323, 814, 2351, 1120, 4560, 311, 11, 499, 1440, 11, 636, 264, 10536, 704, 315, 813, 14992, 11, 65655, 2919, 13, 2030, 22371, 11, 15341, 3604, 574, 264, 1633, 27373, 3752, 304, 279, 5818, 13, 1283, 2751, 1093, 264, 2697, 23163, 955, 3245, 11, 422, 358, 2846, 539, 37104, 13, 2100, 430, 574, 5128, 7155, 323, 568, 574, 128003, 128005, 544, 978, 1411, 1029, 961, 1349, 1344, 1253, 1146, 1048, 1718, 1388, 1349, 1384, 399, 1218, 1283, 974, 1091, 617, 1514, 1397, 1155, 91, 755, 998, 108, 557, 117, 374, 1152, 1830, 1464, 1611, 510, 886, 166, 202, 1061, 631, 951, 58, 711, 809, 870, 270, 1345, 1815, 128, 1788, 592, 1396, 931, 1523, 1267, 1687, 1491, 1541, 1405, 733, 1703, 1616, 1280, 847, 841, 609, 7, 973, 1353, 138, 395, 356, 1263, 1402, 556, 1235, 736, 129, 577, 315, 129, 117, 631, 1107, 1166, 1476, 870, 234, 1778, 62, 269, 636, 775, 1811, 428, 428, 1217, 1387, 1166, 789, 1802, 1700, 1335, 143, 191, 268, 1416, 1226, 1046, 1588, 700, 618, 1231, 1400, 444, 1157, 1455, 177, 1322, 1661, 1745, 1129, 1246, 1015, 862, 811, 1064, 125, 557, 1186, 282, 352, 1804, 370, 269, 1238, 983, 317, 1495, 1399, 742, 1321, 1746, 1706, 1638, 117, 1356, 290, 158, 1778, 308, 191, 1626, 276, 1069, 1527, 320, 269, 1250, 714, 1263, 749, 1240, 1517, 656, 1002, 1086, 962, 123, 1703, 1004, 1461, 931, 1025, 858, 203, 328, 892, 1391, 430, 987, 756, 274, 777, 1349, 503, 701, 1473, 1287, 1794, 1286, 1775, 47, 927, 1470, 198, 581, 368, 335, 1752, 22, 736, 1483, 947, 1701, 915, 632, 1189, 383, 557, 1276, 13, 1462, 901, 1030, 1498, 1403, 1008, 735, 1345, 1372, 1511, 1752, 374, 639, 1526, 1455, 927, 787, 1651, 1760, 1368, 1120, 1761, 1534, 1228, 1381, 1592, 361, 1555, 1272, 1251, 1364, 937, 1436, 1426, 1330, 1400, 197, 1372, 954, 730, 1621, 709, 861, 1003, 1805, 962, 1471, 631, 55, 1217, 700, 1427, 1804, 1073, 340, 588, 1627, 1716, 732, 578, 971, 1649, 596, 1459, 28, 911, 1305, 1675, 498, 611, 817, 53, 1639, 1457, 90, 691, 1373, 1104, 985, 977, 1372, 1041, 632, 755, 1204, 76, 1420, 1435, 1460, 1287, 1083, 1466, 1347, 234, 1699, 1030, 1325, 1534, 1753, 368, 1817, 1230, 1375, 1378, 1253, 790, 1406, 806, 1250, 864, 1596, 624, 679, 1283, 882, 415, 198, 1247, 962, 333, 1714, 865, 1719, 1665, 1370, 1421, 989, 1393, 1489, 512, 1428, 1214, 788, 1705, 640, 1699, 1683, 781, 1062, 975, 544, 674, 8, 1803, 1779, 863, 1081, 1567, 1340, 1597, 749, 1723, 962, 73, 1407, 1241, 825, 1241, 107, 1581, 886, 158, 1723, 454, 395, 1782, 1018, 48, 1763, 863, 742, 989, 1401, 929, 192, 1352, 430, 742, 782, 126, 1170, 514, 1130, 74, 1486, 407, 742, 886, 473, 1152, 1333, 1778, 86, 1519, 1830, 1770, 750, 1716, 1565, 1225, 1381, 995, 42, 900, 561, 799, 555, 281, 396, 8, 1331, 1516, 527, 1401, 1634, 440, 143, 1494, 471, 882, 1350, 577, 197, 1175, 844, 1533, 549, 687, 1651, 1018, 1818, 1688, 176, 1741, 471, 1403, 1758, 1636, 248, 1610, 1415, 269, 890, 783, 940, 1267, 1625, 869, 1339, 1212, 1265, 1075, 315, 757, 1496, 430, 1237, 1287, 1651, 794, 407, 86, 277, 362, 1736, 1410, 1134, 916, 483, 1633, 1185, 1825, 10, 886, 507, 407, 1519, 399, 1817, 1215, 1549, 1652, 1370, 1701, 1428, 1034, 1809, 1164, 1370, 1421, 1170, 1631, 1322, 989, 1805, 1120, 1349, 1813, 1432, 1830, 1025, 666, 486, 223, 578, 1435, 1224, 1160, 1426, 192, 1559, 1789, 213, 1115, 10, 100, 374, 1534, 270, 245, 855, 93, 181, 844, 813, 1450, 1297, 1318, 183, 1757, 736, 1332, 671, 1350, 507, 51, 1032, 479, 122, 874, 346, 1117, 1178, 15, 1640, 1470, 1373, 927, 996, 1206, 100, 371, 306, 135, 547, 260, 142, 135, 1173, 1127, 1286, 1013, 1036, 1171, 1466, 282, 1342, 556, 592, 1817, 402, 921, 682, 440, 853, 876, 1240, 1791, 1399, 1651, 1483, 428, 286, 920, 183, 239, 1400, 93, 312, 1009, 1022, 1650, 1422, 1594, 1818, 1718, 1791, 1091, 1328, 1110, 47, 703, 769, 679, 1424, 113, 716, 711, 780, 86, 764, 682, 1558, 335, 1317, 1029, 609, 393, 260, 1451, 282, 951, 493, 269, 1817, 1746, 1453, 1098, 1161, 1298, 790, 1662, 1002, 1053, 1776, 1117, 955, 628, 36, 1647, 570, 248, 58, 1178, 303, 876, 239, 741, 1178, 576, 1082, 1336, 1433, 1738, 1478, 349, 1002, 1489, 749, 1752, 1611, 1113, 1086, 340, 520, 1449, 471, 1030, 934, 648, 1680, 991, 556, 126, 1658, 1034, 815, 805, 1774, 861, 1375, 863, 640, 202, 1378, 1241, 488, 1357, 1082, 455, 1738, 128, 1490, 1034, 1445, 1268, 1701, 594, 242, 1478, 1038, 28, 1403, 973, 1800, 1034, 858, 217, 1684, 1091, 753, 742, 976, 782, 158, 1804, 471, 107, 85, 759, 481, 1082, 662, 865, 898, 1021, 321, 1750, 428, 644, 1527, 234, 738, 333, 367, 1564, 1521, 1540, 1685, 1535, 1437, 1666, 745, 412, 615, 323, 587, 1604, 1283, 297, 1529, 328, 1618, 344, 1511, 527, 983, 314, 398, 123, 1586, 320, 1449, 1578, 957, 1783, 11, 741, 1124, 512, 82, 367, 1298, 309, 82, 1088, 115, 1356, 498, 159, 1743, 300, 159, 1789, 467, 1820, 831, 1795, 1656, 630, 1306, 991, 1325, 550, 1240, 497, 399, 658, 1075, 182, 10, 972, 1238, 1257, 1676, 1478, 727, 1018, 1139, 1475, 1340, 1486, 1633, 848, 1328, 57, 308, 1318, 132, 1353, 485, 961, 6, 1263, 18, 1473, 510, 1658, 577, 1556, 864, 1, 973, 1820, 1677, 1357, 1817, 1752, 86, 1687, 624, 1144, 1479, 526, 1627, 1126, 1803, 374, 1406, 1407, 913, 1558, 626, 1778, 1107, 834, 1648, 904, 534, 879, 470, 933, 1809, 1073, 1351, 1813, 1412, 1117, 1714, 660, 1651, 446, 1019, 636, 443, 623, 1821, 1803, 1224, 428, 682, 1591, 556, 1002, 4, 407, 1737, 863, 1027, 1532, 780, 1622, 1143, 92, 48, 1022, 1680, 993, 1502, 1650, 213, 1296, 654, 1403, 1391, 1173, 173, 374, 382, 604, 303, 1624, 315, 125, 1155, 808, 1663, 935, 1476, 1345, 117, 368, 1658, 1028, 19, 1063, 658, 621, 1445, 833, 1403, 158, 1825, 750, 98, 1635, 911, 877, 1808, 1053, 992, 989, 466, 1612, 1342, 1604, 1450, 639, 1043, 797, 718, 1393, 142, 1068, 1125, 1697, 1078, 444, 1050, 774, 481, 1024, 297, 954, 117, 503, 1284, 1240, 1365, 907, 1029, 110, 644, 715, 321, 1389, 711, 302, 595, 614, 1758, 579, 184, 1494, 1459, 1449, 1108, 1683, 42, 1459, 1735, 1393, 870, 1820, 1088, 1476, 1367, 1139, 1677, 1355, 1342, 1822, 989, 1476, 1770, 1134, 1304, 1163, 1322, 921, 207, 301, 548, 1097, 803, 1479, 1345, 443, 1827, 581, 184, 415, 479, 631, 181, 595, 454, 213, 715, 10, 767, 930, 554, 1284, 1496, 590, 1024, 452, 789, 166, 215, 1688, 592, 576, 507, 36, 1657, 546, 1464, 533, 1795, 927, 248, 1225, 943, 662, 867, 688, 1284, 700, 1674, 749, 1240, 1283, 213, 1400, 166, 510, 554, 886, 937, 1504, 349, 688, 749, 1030, 519, 326, 1759, 1143, 956, 228, 84, 123, 309, 474, 282, 1066, 1015, 637, 720, 607, 182, 1761, 570, 9, 519, 407, 687, 510, 1310, 1798, 639, 1826, 1687, 1790, 1809, 872, 495, 1803, 1162, 839, 658, 1709, 1534, 368, 742, 1678, 775, 1502, 739, 1297, 1664, 1732, 530, 1322, 1831, 1830, 1235, 1655, 1306, 1797, 42, 949, 158, 211, 134, 1707, 1317, 249, 443, 506, 1740, 1227, 184, 217, 214, 1659, 1511, 748, 1590, 490, 792, 1738, 1749, 1746, 1160, 1655, 1434, 1370, 1465, 1139, 1528, 1668, 943, 933, 1393, 1021, 984, 1412, 1475, 1537, 1039, 144, 396, 1797, 1481, 1077, 858, 1147, 1078, 1088, 1800, 57, 1620, 713, 1341, 1692, 333, 920, 834, 1558, 1270, 1389, 1518, 1827, 1307, 1374, 1277, 1435, 1629, 1291, 1326, 1804, 1498, 1395, 214, 127, 682, 55, 920, 286, 328, 882, 1698, 1710, 1761, 1754, 22, 1638, 1476, 1418, 165, 156, 244, 244, 128011, 128001 ]

[ 128000, 128002, 79928, 477, 25761, 1120, 315, 1268, 11, 499, 1440, 11, 5016, 323, 1120, 27373, 568, 374, 11, 499, 1440, 11, 8994, 1694, 304, 264, 32415, 3967, 5818, 13, 128003, 128005, 870, 1438, 1089, 210, 798, 1212, 115, 1427, 665, 390, 1803, 370, 588, 1230, 367, 583, 979, 783, 328, 443, 1390, 560, 662, 176, 1457, 1283, 315, 1468, 1497, 1498, 1402, 1618, 1326, 1373, 775, 801, 1284, 1378, 576, 682, 703, 1330, 1237, 59, 1268, 255, 414, 1815, 1382, 656, 1521, 1748, 863, 1772, 1347, 966, 1183, 644, 1073, 234, 753, 637, 1463, 592, 621, 608, 1029, 621, 1641, 1166, 158, 701, 858, 738, 1571, 48, 1605, 1387, 920, 409, 213, 1459, 1354, 1781, 1809, 943, 1818, 1355, 927, 1770, 1034, 1400, 1434, 1082, 1797, 1104, 1139, 1821, 1329, 1797, 1118, 1343, 301, 1010, 960, 995, 333, 812, 1682, 1300, 1261, 901, 506, 143, 46, 1726, 1645, 46, 592, 26, 510, 1713, 1363, 1524, 1405, 604, 1307, 742, 79, 536, 376, 41, 1754, 1342, 1445, 1337, 1420, 1096, 1105, 1307, 1401, 1105, 1174, 393, 93, 764, 497, 827, 699, 637, 424, 844, 497, 1412, 424, 1588, 390, 727, 571, 1055, 1335, 1158, 868, 590, 1618, 1509, 1499, 1149, 843, 1456, 1373, 728, 905, 1121, 988, 460, 1032, 805, 1620, 1762, 1513, 1267, 666, 1656, 1248, 1468, 1683, 1166, 1816, 1139, 937, 1784, 944, 1704, 361, 1375, 1505, 1240, 32, 1532, 90, 786, 1304, 1696, 750, 1778, 546, 898, 1250, 493, 834, 1530, 1313, 1682, 1618, 428, 952, 1374, 949, 1444, 1772, 6, 1447, 1323, 189, 1136, 1627, 181, 1620, 6, 1415, 1616, 1701, 1736, 1500, 1511, 1718, 308, 1410, 1808, 1004, 1270, 1384, 101, 1621, 923, 1057, 1770, 1556, 1061, 1185, 1175, 1225, 1211, 849, 1418, 1788, 821, 1138, 938, 1033, 1070, 379, 1142, 1424, 1027, 1075, 1280, 1349, 848, 48, 1784, 1817, 1709, 1482, 1558, 769, 949, 1468, 656, 1366, 198, 213, 1238, 1310, 1132, 1192, 847, 1542, 1438, 741, 1232, 581, 93, 1516, 750, 1620, 1598, 1668, 744, 1309, 452, 1325, 595, 637, 1521, 349, 1235, 719, 1041, 1818, 1098, 1086, 1087, 569, 236, 695, 697, 205, 809, 461, 700, 973, 1300, 532, 1500, 1462, 1424, 320, 890, 217, 775, 1082, 1649, 615, 1412, 1805, 1825, 1241, 1632, 1624, 1061, 1430, 22, 1399, 1267, 1571, 636, 856, 1597, 485, 1444, 34, 1818, 1780, 1363, 1677, 1263, 608, 860, 1267, 527, 789, 1568, 388, 1347, 157, 1541, 1160, 1450, 1417, 1389, 1035, 1402, 1366, 1672, 1588, 448, 183, 1547, 233, 1351, 1546, 1155, 1603, 983, 1746, 1332, 1581, 678, 1573, 937, 1703, 738, 1585, 197, 1725, 639, 1686, 1468, 132, 502, 166, 137, 454, 213, 1166, 1642, 634, 1685, 1567, 1292, 873, 1307, 997, 352, 1607, 849, 324, 326, 1585, 577, 429, 1571, 700, 1507, 837, 1506, 1092, 924, 840, 612, 1154, 199, 1688, 863, 892, 1019, 1567, 848, 520, 1582, 865, 479, 125, 1577, 18, 367, 1606, 202, 217, 273, 376, 1619, 362, 615, 1552, 616, 1592, 1415, 1530, 1546, 591, 1096, 1290, 1181, 1238, 1375, 1809, 863, 1632, 1677, 640, 1108, 1287, 938, 1770, 485, 1128, 1804, 930, 1456, 385, 668, 199, 265, 717, 1389, 1574, 1282, 200, 485, 628, 1387, 973, 124, 1308, 30, 1820, 293, 1313, 113, 636, 836, 333, 385, 428, 1467, 92, 337, 753, 1130, 734, 92, 923, 562, 1033, 908, 633, 1806, 603, 751, 879, 1258, 1190, 36, 1736, 798, 1460, 877, 1619, 1295, 1521, 359, 1457, 589, 1286, 1204, 2, 1186, 1396, 1331, 700, 1441, 556, 1166, 1002, 556, 1701, 639, 1431, 1656, 847, 1572, 678, 1825, 1239, 969, 1802, 1467, 13, 964, 1304, 1075, 1096, 1493, 864, 681, 1581, 966, 624, 810, 678, 257, 1323, 1120, 770, 1362, 700, 662, 1349, 289, 629, 1781, 753, 439, 1688, 197, 1619, 1287, 1764, 1379, 1281, 882, 343, 110, 1513, 1764, 79, 1290, 1315, 1818, 1037, 437, 649, 879, 1418, 538, 165, 244, 244, 128011, 128001 ]

[ 128000, 128002, 4071, 63445, 11, 14224, 568, 374, 264, 36125, 1618, 11, 264, 5016, 1646, 36125, 13, 2052, 279, 1023, 6305, 430, 499, 3077, 3970, 1603, 11, 1093, 11, 499, 1440, 11, 1524, 37080, 49422, 477, 420, 14595, 1646, 430, 814, 1005, 13, 1628, 584, 3358, 387, 27393, 264, 15860, 315, 1023, 59432, 311, 15341, 304, 264, 5743, 14269, 1618, 13, 2030, 379, 12791, 11, 568, 374, 6724, 5016, 13, 128003, 128005, 1343, 1716, 892, 341, 738, 990, 1447, 1237, 155, 123, 890, 577, 1335, 409, 836, 1022, 409, 532, 1825, 1069, 629, 143, 557, 1081, 143, 48, 1351, 782, 1194, 714, 1700, 755, 201, 834, 1535, 213, 384, 230, 749, 1758, 1527, 1681, 1621, 1644, 1421, 1132, 855, 955, 339, 306, 412, 874, 579, 339, 373, 93, 756, 349, 1183, 569, 774, 716, 1817, 1468, 1330, 901, 1272, 305, 1485, 1081, 328, 158, 1326, 519, 1651, 154, 132, 1296, 510, 736, 440, 1387, 1720, 1110, 1416, 774, 15, 312, 1607, 485, 1193, 640, 1797, 428, 952, 1734, 833, 1750, 26, 1752, 1716, 911, 1670, 1482, 1618, 1267, 821, 1621, 1563, 529, 1388, 645, 1537, 1726, 344, 1731, 1077, 62, 789, 1499, 701, 1280, 1520, 154, 1615, 1363, 175, 1268, 595, 1389, 18, 1030, 817, 521, 1750, 178, 1267, 1057, 571, 1706, 1170, 1156, 1434, 1173, 1186, 408, 1438, 210, 466, 1317, 221, 1420, 829, 864, 966, 205, 1665, 825, 663, 1714, 1758, 1053, 1097, 19, 88, 1462, 299, 951, 179, 1195, 173, 1075, 1019, 1279, 1356, 1289, 1429, 1746, 1565, 400, 1462, 1024, 557, 1652, 882, 338, 383, 662, 885, 787, 968, 120, 421, 29, 729, 202, 709, 833, 184, 1065, 1403, 1416, 1052, 384, 734, 791, 1461, 807, 964, 174, 1065, 117, 86, 1436, 1646, 1553, 962, 1806, 1714, 701, 1144, 1379, 1458, 322, 435, 470, 351, 1108, 1207, 1568, 1726, 1820, 277, 1708, 10, 716, 273, 1680, 1759, 930, 1369, 1818, 823, 621, 1474, 1345, 196, 847, 1570, 297, 1228, 1312, 1057, 831, 1057, 1336, 1287, 1249, 328, 1081, 713, 787, 34, 1056, 1619, 631, 1593, 298, 1541, 1617, 1687, 1315, 1375, 1744, 1079, 1082, 1304, 1333, 1005, 1237, 1829, 1817, 1062, 869, 1079, 396, 1199, 1144, 203, 1292, 738, 1754, 177, 1351, 177, 1720, 1060, 1498, 147, 1189, 467, 524, 1368, 142, 1210, 152, 956, 545, 1005, 82, 1780, 860, 629, 1284, 1261, 688, 617, 1473, 1172, 1095, 1004, 1392, 269, 1607, 1063, 1155, 679, 1323, 1584, 814, 261, 1188, 963, 861, 1328, 470, 1134, 1421, 1360, 841, 1347, 1332, 1132, 828, 376, 809, 1365, 1308, 720, 1401, 637, 1281, 1353, 983, 932, 1632, 1630, 1412, 570, 86, 1424, 1086, 206, 424, 809, 764, 1066, 1173, 956, 9, 388, 1444, 1749, 1132, 120, 1421, 1671, 861, 736, 1470, 1736, 847, 1345, 1014, 711, 362, 843, 1147, 1335, 1478, 1098, 1274, 772, 1333, 174, 929, 1347, 1114, 1160, 1233, 1098, 1790, 933, 1212, 1809, 1428, 1098, 591, 1720, 1199, 396, 1108, 149, 167, 1137, 188, 1301, 1317, 610, 1109, 1147, 1191, 1416, 797, 1068, 860, 302, 1379, 252, 1386, 1258, 145, 1230, 922, 881, 15, 583, 731, 57, 1068, 1034, 424, 1798, 446, 1675, 755, 1026, 1701, 1243, 1408, 1758, 1637, 352, 1771, 863, 557, 1292, 529, 803, 1370, 520, 1704, 1394, 1392, 1272, 1453, 1800, 1093, 1573, 98, 1315, 1832, 1389, 898, 1807, 798, 1593, 1399, 703, 1797, 836, 1674, 1337, 55, 1699, 502, 835, 888, 1335, 593, 957, 1458, 1402, 1576, 197, 1756, 1283, 428, 1563, 1283, 1217, 1678, 273, 1715, 668, 1141, 594, 1036, 424, 1573, 797, 1304, 714, 1110, 1222, 1036, 951, 529, 1719, 903, 1649, 1469, 1505, 1099, 1115, 418, 1051, 752, 1383, 1372, 1569, 1524, 1472, 34, 1257, 867, 1369, 823, 1326, 438, 1470, 733, 1238, 807, 1724, 1257, 1798, 1661, 1740, 1518, 1825, 1760, 546, 1822, 485, 1027, 719, 1061, 230, 493, 166, 1376, 962, 448, 1466, 502, 783, 1654, 1061, 191, 1688, 230, 716, 865, 143, 758, 1470, 1249, 1451, 1336, 1796, 1386, 1742, 1459, 907, 734, 1286, 1786, 1753, 117, 1795, 1393, 362, 1822, 1436, 1600, 1528, 333, 1504, 1502, 302, 583, 1569, 918, 1526, 1599, 506, 742, 904, 1680, 1738, 819, 1447, 1260, 1077, 388, 312, 1047, 341, 909, 1412, 1165, 1460, 682, 831, 1404, 589, 1449, 609, 1172, 818, 181, 1790, 1680, 65, 727, 1598, 1395, 1433, 1818, 1496, 1030, 1536, 969, 1642, 969, 849, 1369, 1498, 1118, 1156, 231, 1155, 1794, 1305, 1015, 619, 1323, 1382, 484, 1773, 1637, 1813, 1799, 1397, 1506, 774, 567, 1015, 1631, 385, 775, 464, 1620, 1713, 1719, 1734, 1160, 1211, 716, 572, 621, 1152, 886, 456, 645, 860, 1793, 6, 611, 968, 700, 593, 645, 644, 925, 1292, 953, 1277, 857, 647, 601, 1015, 322, 872, 214, 793, 57, 1750, 780, 607, 619, 806, 1510, 1342, 593, 533, 644, 1262, 117, 703, 1549, 362, 1374, 62, 1370, 1438, 631, 611, 1379, 289, 1152, 549, 803, 1088, 644, 902, 123, 978, 388, 779, 1379, 1629, 174, 1121, 883, 1033, 1403, 1373, 1450, 1718, 1788, 1088, 1807, 1306, 1436, 1623, 1164, 1322, 1385, 1583, 1683, 1380, 1151, 1114, 1628, 387, 627, 1813, 149, 831, 735, 801, 625, 477, 925, 626, 603, 443, 606, 105, 1293, 525, 121, 730, 1781, 626, 1036, 1013, 1473, 1761, 321, 1781, 250, 1733, 1428, 1742, 940, 1435, 969, 1380, 775, 1638, 1457, 1549, 315, 1436, 863, 1270, 1375, 4, 1691, 1568, 808, 1421, 846, 1265, 614, 51, 443, 1734, 1238, 1545, 1730, 1466, 801, 1483, 1739, 1318, 376, 317, 1821, 1464, 1425, 1298, 1751, 1751, 1800, 1680, 518, 1629, 1475, 1630, 184, 617, 1480, 1429, 105, 78, 1205, 424, 1564, 1686, 932, 1612, 1321, 1003, 1156, 1288, 1416, 78, 1546, 514, 1829, 956, 721, 1455, 386, 629, 1173, 477, 1226, 159, 1381, 841, 1092, 903, 177, 1568, 525, 1764, 1073, 425, 1644, 621, 1595, 1382, 1605, 1675, 1017, 989, 525, 1654, 860, 1435, 579, 1339, 1323, 1037, 754, 967, 1793, 1421, 870, 1289, 1496, 583, 731, 197, 1585, 1588, 1655, 1633, 392, 647, 677, 302, 392, 787, 501, 983, 180, 983, 766, 940, 5, 962, 480, 1120, 1341, 646, 636, 127, 1673, 276, 1649, 415, 510, 1751, 1363, 1781, 1601, 911, 1289, 1306, 1170, 1433, 1009, 1701, 1033, 767, 751, 1589, 1343, 967, 1519, 862, 32, 561, 612, 1385, 1314, 977, 1009, 855, 1720, 1256, 1493, 1637, 662, 1480, 940, 644, 1388, 1421, 41, 158, 835, 1621, 1653, 1591, 736, 310, 1463, 175, 898, 1383, 938, 1727, 631, 1691, 1716, 944, 1356, 1004, 848, 748, 319, 197, 831, 888, 1772, 1463, 347, 1478, 1063, 1053, 1127, 48, 320, 647, 410, 1332, 828, 277, 1315, 1101, 1351, 48, 479, 1388, 1116, 347, 184, 63, 1453, 878, 1256, 126, 1243, 1707, 989, 1371, 91, 1687, 1236, 1797, 22, 627, 1104, 1746, 406, 1130, 1133, 630, 1199, 1070, 762, 693, 832, 1107, 53, 1331, 210, 1743, 576, 1769, 1444, 450, 1686, 1234, 660, 82, 234, 529, 1281, 931, 549, 1295, 1645, 1073, 1374, 848, 502, 1502, 1166, 1308, 829, 1631, 1718, 952, 909, 1526, 1331, 1194, 47, 205, 395, 1825, 1278, 102, 1008, 1175, 1424, 324, 341, 1687, 1041, 828, 1682, 309, 82, 719, 210, 1477, 93, 1155, 412, 1385, 73, 1771, 665, 389, 1818, 1732, 1827, 1476, 9, 1232, 985, 210, 1426, 446, 1265, 53, 1171, 1196, 200, 1504, 1369, 1064, 1437, 1704, 1139, 1638, 1102, 821, 116, 1248, 882, 91, 1221, 1701, 1753, 409, 117, 176, 863, 1632, 634, 1777, 1284, 1363, 1637, 231, 714, 1432, 471, 1476, 1790, 440, 1817, 1146, 1680, 1443, 296, 834, 1598, 62, 48, 1807, 428, 662, 1580, 191, 1605, 473, 917, 1794, 1408, 1280, 1651, 1715, 973, 561, 1081, 1425, 344, 37, 1741, 921, 1737, 1336, 1600, 361, 1500, 320, 1353, 1366, 1407, 1141, 599, 1306, 770, 1027, 732, 939, 929, 978, 1777, 1524, 1456, 1711, 1661, 1399, 1175, 1761, 1257, 1024, 917, 1293, 1286, 1109, 1797, 1427, 1415, 848, 1607, 1815, 1332, 1816, 1322, 1303, 1209, 1042, 1203, 221, 1498, 1219, 1425, 1297, 845, 578, 977, 1032, 1326, 603, 191, 1721, 1008, 1817, 856, 1711, 395, 1731, 1344, 959, 1462, 621, 1697, 926, 1735, 1015, 363, 949, 1021, 803, 1771, 892, 744, 519, 1340, 1387, 213, 239, 10, 231, 1432, 903, 1628, 57, 1569, 664, 1713, 9, 493, 1267, 1760, 1712, 1025, 1763, 1285, 1262, 1091, 610, 1519, 475, 1375, 107, 1118, 333, 1219, 1798, 1820, 802, 352, 1728, 407, 1102, 372, 764, 1356, 430, 1484, 1449, 328, 737, 895, 1325, 1692, 1660, 1821, 1258, 298, 1775, 308, 1743, 913, 155, 1618, 1088, 639, 1281, 1027, 129, 1470, 510, 1521, 1059, 1270, 1761, 1358, 471, 1263, 1636, 1460, 98, 1618, 615, 495, 22, 1625, 22, 416, 1375, 736, 58, 1102, 1325, 1356, 759, 201, 856, 556, 92, 1350, 286, 98, 1704, 1701, 1378, 1245, 1374, 856, 108, 443, 1819, 980, 0, 1460, 1243, 1627, 546, 269, 1783, 713, 688, 1722, 1337, 835, 1250, 703, 899, 1563, 662, 1627, 1394, 269, 731, 95, 1619, 631, 1545, 510, 1433, 863, 909, 1354, 1807, 1025, 1691, 1144, 1403, 247, 165, 219, 244, 244, 167, 244, 128011, 128001 ]

[ 128000, 128002, 3112, 279, 832, 3245, 430, 1120, 38145, 757, 922, 1461, 374, 430, 568, 596, 2751, 1521, 12466, 11815, 1618, 11, 1120, 3169, 315, 1093, 279, 2840, 13572, 11, 358, 1541, 956, 1440, 1148, 1521, 527, 32654, 2663, 11, 719, 1521, 527, 12466, 12673, 311, 264, 1633, 8987, 9501, 2547, 11, 1093, 420, 4553, 961, 1618, 374, 9501, 13, 128003, 128005, 761, 1767, 1512, 1096, 1439, 741, 794, 83, 6, 1125, 587, 137, 74, 182, 63, 184, 1270, 1347, 1280, 1579, 1304, 508, 1366, 977, 1596, 1119, 920, 1618, 647, 455, 30, 58, 774, 1345, 87, 733, 191, 848, 90, 1729, 1624, 1695, 1439, 502, 1275, 155, 1761, 1083, 198, 1615, 807, 1416, 213, 1261, 934, 104, 13, 479, 479, 1427, 1146, 1755, 1604, 592, 1766, 1366, 940, 836, 906, 780, 920, 1563, 117, 1537, 1549, 1833, 1673, 1810, 1806, 1640, 1502, 80, 1708, 369, 509, 466, 506, 1370, 787, 830, 1240, 647, 347, 1485, 996, 190, 289, 92, 158, 1755, 305, 47, 1574, 315, 1460, 1724, 1766, 1024, 520, 1640, 645, 1308, 688, 619, 524, 1409, 769, 326, 999, 952, 1708, 1777, 150, 1654, 1200, 1126, 179, 53, 592, 173, 1457, 25, 1731, 179, 1443, 107, 1168, 969, 1249, 1364, 983, 1431, 943, 1241, 125, 1828, 1061, 506, 781, 1563, 480, 1290, 29, 965, 1024, 376, 738, 26, 508, 1387, 33, 416, 176, 1389, 1195, 320, 352, 1401, 980, 560, 102, 1726, 990, 1005, 293, 126, 713, 298, 890, 154, 368, 1391, 868, 580, 195, 901, 874, 300, 552, 1365, 1685, 1680, 1316, 1496, 1793, 454, 1001, 1460, 33, 1831, 1166, 183, 945, 1376, 213, 1521, 749, 1600, 1830, 1567, 1760, 1592, 1703, 1790, 782, 1517, 1642, 1638, 1760, 1758, 955, 552, 1332, 956, 402, 466, 549, 210, 1212, 299, 474, 759, 1263, 1335, 1247, 1401, 231, 687, 1166, 295, 848, 863, 320, 333, 713, 1364, 1203, 809, 376, 52, 1680, 349, 202, 1733, 1025, 1091, 1596, 1018, 181, 1300, 1, 510, 1364, 202, 328, 1091, 1261, 221, 191, 736, 1460, 1676, 1753, 1604, 1504, 1677, 1361, 1746, 1039, 1799, 1359, 1360, 1210, 222, 843, 1669, 1162, 200, 268, 893, 1226, 1032, 1206, 47, 1564, 1468, 1449, 895, 452, 416, 50, 67, 546, 315, 117, 919, 1247, 1517, 202, 688, 884, 774, 519, 47, 728, 1325, 52, 1185, 93, 1770, 1241, 647, 495, 0, 850, 627, 1517, 470, 1120, 1776, 1118, 231, 1705, 1164, 1364, 1118, 1175, 1777, 1128, 1034, 1033, 1164, 117, 751, 989, 1770, 869, 1074, 971, 837, 1797, 396, 1120, 655, 199, 666, 169, 1262, 1242, 612, 1039, 1380, 1636, 1815, 794, 1463, 50, 407, 1552, 46, 882, 911, 362, 1121, 1074, 1089, 777, 1331, 1101, 102, 1620, 886, 1384, 741, 1506, 1053, 545, 878, 550, 1013, 1450, 623, 1543, 127, 1248, 1325, 294, 1145, 446, 898, 440, 116, 1495, 375, 662, 28, 815, 470, 1108, 693, 1589, 362, 1209, 1160, 248, 485, 787, 845, 1496, 90, 772, 1815, 1199, 1699, 1200, 1339, 1445, 1148, 1335, 1247, 660, 1318, 977, 51, 441, 1227, 797, 146, 1216, 907, 2, 1289, 179, 685, 260, 1327, 200, 680, 790, 1158, 18, 503, 846, 682, 1076, 230, 425, 821, 123, 1508, 129, 428, 4, 725, 1042, 1738, 944, 621, 1682, 868, 1517, 1001, 1029, 1058, 1272, 1303, 757, 1745, 996, 1392, 1776, 1256, 830, 376, 1570, 787, 1694, 798, 1306, 809, 1677, 813, 1700, 853, 361, 490, 621, 1080, 807, 1444, 470, 326, 785, 497, 1777, 910, 234, 1348, 987, 1746, 250, 229, 1154, 40, 1123, 984, 470, 1699, 984, 1096, 325, 516, 1114, 633, 484, 16, 1474, 1631, 533, 965, 1654, 1485, 1239, 700, 851, 730, 1039, 184, 344, 1753, 1221, 1699, 1001, 1649, 1285, 474, 1244, 1388, 1519, 150, 223, 1668, 1704, 213, 230, 1665, 1447, 977, 790, 339, 267, 560, 596, 1119, 1661, 1243, 1099, 1476, 1816, 1647, 949, 520, 1732, 528, 552, 1725, 1737, 134, 1205, 1713, 1478, 1701, 1793, 871, 1028, 105, 1346, 399, 853, 1091, 859, 792, 1687, 1824, 1098, 1743, 1347, 1245, 1111, 1521, 991, 112, 1144, 660, 367, 1123, 294, 376, 1448, 657, 969, 60, 363, 1172, 307, 247, 1429, 1260, 39, 1749, 433, 1383, 807, 1433, 971, 80, 1128, 1593, 1632, 26, 1330, 1558, 1503, 1388, 1439, 103, 1656, 876, 52, 1387, 4, 483, 1494, 375, 1443, 518, 128, 488, 1339, 0, 1490, 1553, 1647, 1163, 1638, 1166, 1818, 1549, 1739, 1487, 552, 569, 1310, 309, 159, 1002, 115, 1258, 300, 699, 581, 115, 1047, 931, 1416, 1057, 1221, 890, 592, 320, 1436, 848, 1528, 333, 1647, 1174, 320, 29, 74, 153, 1218, 773, 1426, 385, 1583, 1750, 1154, 1230, 149, 1146, 1638, 1806, 858, 1779, 1130, 117, 1648, 1160, 1737, 1705, 1411, 1033, 1739, 929, 250, 168, 826, 1232, 1073, 173, 1690, 400, 644, 1687, 1727, 1833, 592, 230, 1476, 863, 1279, 1180, 1055, 1496, 1143, 159, 849, 339, 1132, 138, 1434, 221, 1342, 997, 1175, 775, 1530, 1459, 1783, 1403, 276, 1476, 67, 822, 1476, 276, 1573, 719, 780, 1405, 1212, 1766, 205, 629, 1669, 1685, 462, 1025, 440, 411, 103, 829, 812, 374, 1760, 356, 835, 1270, 1690, 1811, 1027, 1676, 1744, 884, 1683, 1074, 518, 1340, 440, 1149, 270, 320, 953, 152, 1394, 988, 135, 738, 127, 189, 1698, 269, 243, 495, 719, 570, 1047, 1604, 993, 1449, 1744, 239, 1199, 1400, 1397, 1481, 1400, 173, 1156, 383, 115, 887, 308, 115, 997, 687, 326, 1451, 1755, 1625, 989, 725, 626, 333, 689, 510, 217, 1659, 817, 230, 488, 1757, 701, 944, 520, 22, 1800, 1399, 1667, 1339, 42, 1128, 814, 1565, 1033, 1426, 1249, 713, 935, 823, 1058, 1273, 1374, 935, 901, 997, 973, 637, 1162, 107, 901, 477, 1337, 617, 1608, 427, 1565, 492, 1737, 721, 127, 1213, 102, 548, 835, 1152, 1223, 988, 680, 624, 1725, 286, 173, 1127, 446, 1307, 212, 441, 1209, 303, 76, 1438, 660, 76, 1328, 53, 138, 1223, 853, 110, 1525, 1816, 412, 1573, 1581, 155, 1642, 1189, 234, 1658, 1046, 113, 1739, 977, 192, 701, 1087, 202, 831, 1476, 1765, 150, 1675, 77, 516, 1238, 1193, 1097, 890, 125, 153, 455, 1463, 28, 239, 328, 195, 319, 50, 714, 1519, 1283, 1788, 1528, 1547, 1668, 911, 1691, 1668, 1082, 1668, 1059, 493, 1705, 1175, 1500, 1279, 454, 1809, 1476, 788, 1079, 1528, 1495, 1487, 1290, 1152, 442, 207, 879, 1583, 816, 1018, 1155, 34, 203, 702, 736, 623, 1768, 1766, 804, 1703, 1296, 782, 67, 1391, 1126, 1171, 1298, 790, 1412, 1320, 1018, 1208, 777, 1220, 573, 159, 1237, 711, 82, 367, 848, 1194, 1183, 510, 1087, 320, 536, 1174, 320, 1014, 452, 55, 1280, 51, 653, 1292, 1389, 355, 1325, 921, 199, 1830, 1541, 882, 1410, 1827, 1027, 1714, 1823, 1191, 1253, 944, 159, 1493, 1313, 614, 690, 1099, 1350, 214, 1622, 1094, 1069, 810, 1410, 1554, 1619, 1241, 1807, 333, 1034, 1317, 1250, 1002, 617, 677, 483, 728, 919, 439, 649, 376, 27, 868, 1808, 853, 1565, 1467, 1181, 546, 1680, 1189, 759, 881, 388, 801, 812, 73, 1621, 714, 647, 713, 536, 1609, 286, 473, 50, 298, 1524, 183, 1647, 1777, 1602, 1749, 495, 1741, 1526, 823, 1409, 1652, 1308, 1016, 662, 930, 1444, 1661, 118, 184, 981, 386, 1402, 349, 552, 870, 589, 1337, 386, 725, 55, 1641, 1697, 1433, 1651, 1055, 289, 693, 102, 1416, 149, 443, 1004, 1193, 684, 1726, 1112, 355, 1106, 470, 1076, 1491, 31, 1454, 259, 523, 1059, 1211, 167, 165, 244, 453, 244, 167, 128011, 128001 ]

[ 128000, 128002, 2675, 1440, 11, 499, 1436, 1120, 1518, 279, 12466, 961, 374, 420, 1234, 52547, 1314, 1618, 430, 34161, 311, 1521, 2840, 13572, 11, 12929, 653, 3022, 13, 128003, 128005, 1632, 396, 852, 523, 136, 496, 566, 566, 423, 963, 1829, 1316, 297, 1383, 1490, 1710, 1689, 775, 899, 1136, 117, 1372, 756, 1795, 1280, 931, 1705, 836, 368, 1301, 983, 968, 1326, 546, 1006, 1374, 351, 1069, 881, 363, 1284, 34, 1149, 1797, 1018, 506, 884, 481, 1092, 1428, 272, 1713, 634, 1760, 198, 1451, 546, 18, 1295, 1146, 657, 1684, 882, 1723, 198, 104, 634, 129, 0, 26, 213, 1519, 62, 117, 1466, 18, 1081, 778, 969, 867, 969, 778, 1069, 533, 1267, 1061, 1026, 1552, 1635, 1807, 820, 792, 820, 1121, 174, 685, 1133, 785, 1355, 470, 1214, 42, 199, 1028, 470, 651, 692, 1092, 343, 265, 651, 692, 337, 534, 1466, 1055, 1156, 1158, 177, 242, 594, 630, 1821, 1485, 1217, 1747, 1666, 1264, 475, 576, 1036, 115, 1308, 324, 937, 604, 82, 1337, 374, 333, 794, 348, 714, 428, 1329, 213, 0, 1129, 454, 158, 1737, 1552, 1676, 1687, 1643, 1121, 1524, 1404, 1211, 675, 1305, 82, 1138, 1403, 897, 550, 1819, 1140, 1310, 529, 444, 1751, 1738, 1357, 881, 1127, 1222, 4, 1682, 1415, 319, 1427, 86, 725, 781, 1369, 1460, 1623, 1296, 448, 319, 1363, 230, 1306, 202, 1412, 1496, 176, 1405, 1354, 1592, 866, 101, 995, 704, 436, 121, 704, 1338, 624, 16, 513, 406, 1284, 1291, 1637, 303, 368, 994, 1451, 1733, 906, 33, 1400, 1376, 1549, 1738, 1532, 1711, 1404, 1567, 1536, 1428, 1517, 1307, 1477, 1435, 1494, 721, 1752, 1332, 536, 1640, 1379, 1778, 182, 317, 325, 1527, 834, 1490, 990, 657, 1219, 884, 439, 866, 1394, 706, 231, 503, 1168, 876, 1279, 1447, 444, 1707, 1806, 594, 1305, 1572, 978, 1721, 381, 1181, 1273, 845, 659, 696, 523, 450, 351, 624, 257, 603, 641, 544, 624, 257, 509, 936, 686, 445, 673, 257, 717, 599, 1519, 1770, 554, 772, 1391, 711, 105, 1546, 1041, 1095, 697, 92, 563, 847, 983, 331, 474, 1146, 1218, 376, 144, 303, 852, 1339, 1761, 176, 1732, 328, 1549, 1675, 1638, 998, 1735, 225, 1647, 1690, 660, 1701, 1100, 192, 762, 1280, 1078, 91, 1335, 1568, 1757, 1637, 485, 1739, 1833, 512, 807, 1387, 987, 882, 1373, 937, 1290, 1149, 1677, 1670, 988, 1073, 671, 729, 996, 1779, 35, 1260, 707, 66, 918, 732, 163, 1809, 174, 1010, 1292, 229, 1146, 1428, 1121, 1139, 513, 1432, 1379, 693, 1214, 1199, 563, 1024, 470, 869, 1211, 163, 1128, 523, 486, 281, 555, 799, 16, 601, 641, 762, 624, 504, 601, 555, 417, 674, 1144, 696, 1438, 0, 1265, 1042, 714, 997, 756, 1434, 386, 388, 1367, 628, 346, 1652, 876, 1410, 1239, 1328, 1760, 971, 1247, 1, 1481, 1535, 1517, 1714, 926, 821, 191, 1689, 1470, 1501, 1005, 1429, 552, 1175, 955, 324, 1130, 1488, 1073, 1695, 1629, 788, 1382, 943, 213, 1125, 18, 782, 1496, 176, 1305, 1528, 176, 1665, 18, 1057, 1099, 1448, 1160, 662, 714, 265, 860, 1436, 131, 1326, 333, 1699, 1373, 388, 677, 1534, 320, 1642, 1629, 848, 788, 1071, 286, 183, 1248, 1680, 1217, 1789, 1185, 183, 368, 22, 198, 1638, 1283, 863, 1230, 1283, 1370, 640, 202, 1292, 26, 1287, 1822, 554, 1589, 896, 34, 620, 1557, 1176, 401, 1523, 1262, 16, 694, 566, 417, 487, 680, 1145, 799, 513, 16, 751, 561, 465, 513, 465, 1007, 680, 704, 513, 1652, 641, 301, 1823, 1770, 1720, 1815, 1511, 828, 1625, 1023, 184, 1684, 1100, 158, 1076, 248, 1086, 1204, 942, 809, 254, 306, 1475, 81, 1297, 57, 725, 1471, 687, 904, 636, 814, 666, 1127, 698, 881, 856, 747, 914, 716, 66, 881, 629, 1765, 1217, 1662, 1283, 863, 1660, 848, 1691, 1751, 1660, 1360, 1746, 1774, 1458, 1685, 1189, 1045, 1687, 373, 1469, 1777, 588, 1668, 1353, 653, 1432, 688, 1321, 1492, 444, 1250, 302, 1598, 1375, 703, 1812, 1769, 1727, 1211, 1360, 1148, 1494, 462, 1425, 1524, 390, 1767, 1521, 373, 1655, 1827, 629, 1791, 1545, 1732, 1741, 1754, 1651, 1524, 1500, 1002, 964, 165, 156, 244, 244, 167, 128011, 128001 ]

[ 128000, 128002, 3112, 1243, 420, 374, 12466, 1070, 11, 719, 420, 4459, 961, 1618, 374, 9501, 11, 14224, 539, 279, 11, 499, 1440, 11, 436, 57229, 477, 128003, 128005, 351, 199, 1414, 1117, 1063, 1351, 1147, 710, 1237, 1528, 1401, 1439, 1706, 755, 1832, 1186, 1496, 127, 1312, 781, 1607, 1345, 442, 1353, 319, 1830, 892, 1325, 1684, 945, 333, 1700, 26, 592, 1175, 213, 493, 154, 6, 1500, 416, 1426, 1812, 1660, 1420, 1441, 546, 1807, 1603, 1255, 1007, 1570, 1322, 1600, 1328, 1771, 632, 1490, 1426, 1232, 79, 1125, 1328, 1136, 719, 1341, 1808, 1470, 362, 124, 546, 1370, 344, 1434, 809, 701, 191, 1752, 920, 1315, 1573, 1564, 1821, 1164, 708, 1018, 475, 1535, 847, 1063, 901, 529, 1109, 658, 1453, 110, 1348, 40, 1043, 1738, 1301, 1367, 708, 479, 1598, 508, 1255, 921, 149, 1305, 883, 995, 1379, 1458, 1457, 424, 1565, 1241, 125, 688, 1349, 1117, 483, 856, 1580, 592, 931, 4, 631, 1355, 202, 1212, 788, 767, 838, 1283, 1687, 1385, 1183, 988, 1703, 926, 1673, 1230, 1792, 1565, 1168, 1108, 1661, 699, 1019, 1803, 1207, 143, 1368, 55, 289, 1218, 910, 1452, 1217, 622, 280, 500, 1431, 1048, 1248, 1158, 250, 1825, 1002, 58, 1751, 991, 887, 295, 1183, 1184, 609, 688, 774, 63, 770, 1009, 19, 1736, 1342, 191, 1460, 249, 268, 1462, 1091, 1165, 52, 341, 831, 750, 95, 1531, 276, 1240, 1363, 1166, 1750, 1774, 1360, 1310, 317, 867, 877, 1601, 339, 839, 1031, 294, 577, 1232, 614, 1404, 39, 1284, 828, 1532, 492, 1734, 475, 473, 1102, 508, 1169, 783, 1015, 576, 1358, 1165, 107, 1113, 1222, 860, 880, 412, 1126, 525, 1466, 1093, 1022, 445, 965, 1121, 577, 734, 384, 32, 756, 1695, 1004, 448, 725, 231, 129, 1375, 1283, 1078, 1675, 1485, 828, 1287, 1607, 1286, 625, 961, 1528, 1449, 1332, 1189, 1245, 1393, 53, 1795, 408, 1147, 1043, 83, 944, 1352, 1662, 1739, 250, 1043, 1106, 470, 1421, 967, 1665, 1642, 1192, 1600, 1511, 30, 1039, 1596, 1470, 899, 92, 865, 1799, 1004, 867, 1598, 1672, 724, 470, 852, 405, 331, 1057, 832, 1104, 1404, 1003, 1175, 1504, 1495, 1370, 513, 1329, 1306, 1003, 1175, 1185, 1322, 1411, 301, 1329, 1738, 516, 999, 971, 1699, 1495, 1070, 866, 676, 971, 450, 680, 486, 851, 513, 696, 1680, 1654, 1389, 1693, 1221, 1225, 1541, 1056, 495, 1816, 868, 1658, 1501, 1308, 1425, 1304, 969, 1553, 1210, 864, 1553, 875, 1389, 1740, 1467, 1541, 169, 163, 655, 1189, 1288, 932, 1419, 807, 336, 1052, 241, 425, 624, 764, 238, 1624, 82, 1742, 560, 1107, 74, 1536, 705, 861, 940, 1150, 201, 813, 448, 545, 344, 291, 895, 116, 1668, 234, 1076, 759, 1060, 989, 616, 1749, 1409, 1355, 1022, 1093, 1458, 1352, 586, 1338, 963, 1392, 594, 1068, 169, 326, 1480, 1083, 1684, 998, 1449, 893, 621, 1023, 497, 1779, 972, 1431, 406, 477, 1705, 1219, 753, 1831, 457, 1042, 1421, 734, 1495, 612, 165, 219, 244, 244, 167, 244, 128011, 128001 ]

[ 128000, 128002, 2675, 1440, 1148, 358, 2846, 5605, 11, 433, 596, 264, 5128, 8987, 1841, 13, 1283, 574, 2133, 311, 387, 279, 400, 2002, 79524, 42819, 13, 128003, 128005, 313, 378, 1453, 1134, 721, 1085, 184, 1176, 774, 1461, 565, 1637, 695, 1583, 783, 1766, 1281, 1326, 845, 55, 1648, 839, 1645, 1484, 297, 719, 1487, 110, 1716, 1356, 1005, 1584, 787, 1565, 1444, 1004, 1689, 1753, 315, 1002, 440, 46, 1139, 50, 1287, 1129, 1200, 556, 783, 117, 1073, 1424, 592, 1247, 1663, 549, 1195, 1332, 714, 1353, 1332, 1651, 816, 631, 783, 1632, 1521, 1591, 1734, 906, 863, 14, 315, 997, 9, 295, 890, 1408, 1521, 1729, 1279, 1728, 1628, 1110, 943, 1680, 1411, 1215, 1495, 1677, 1102, 966, 90, 128, 1698, 90, 1342, 372, 1219, 361, 189, 1018, 1488, 132, 234, 1827, 980, 1029, 48, 1654, 349, 1593, 1166, 1276, 1680, 1139, 1324, 1229, 1434, 498, 210, 1036, 179, 708, 375, 798, 1364, 742, 1120, 1680, 1752, 658, 1388, 356, 1740, 293, 1343, 29, 990, 1787, 939, 1556, 1504, 827, 1221, 1747, 1682, 1232, 1298, 569, 1267, 1329, 390, 1736, 569, 1158, 422, 1124, 142, 1505, 474, 700, 1000, 609, 1509, 1077, 1217, 738, 886, 1439, 1485, 1534, 10, 703, 865, 395, 752, 1626, 557, 850, 1667, 1330, 395, 184, 1312, 863, 116, 1463, 940, 1372, 154, 384, 1441, 67, 1470, 1770, 1511, 1119, 940, 920, 217, 787, 1323, 878, 940, 703, 758, 1451, 184, 662, 685, 1047, 196, 1699, 177, 781, 1645, 1146, 648, 831, 778, 714, 783, 1009, 1340, 830, 636, 1612, 1799, 821, 934, 778, 836, 1527, 127, 154, 1787, 714, 1652, 483, 888, 1136, 1024, 1335, 344, 363, 1635, 724, 706, 207, 693, 86, 1523, 338, 1288, 659, 693, 450, 555, 765, 1242, 641, 1711, 631, 1661, 454, 1820, 1279, 1088, 1324, 1135, 270, 95, 328, 110, 1534, 1104, 1718, 143, 317, 1390, 546, 126, 1721, 791, 210, 774, 595, 115, 1455, 186, 291, 1524, 106, 1149, 768, 610, 74, 1630, 560, 1055, 631, 536, 1027, 269, 452, 1396, 1776, 1680, 1025, 736, 132, 1423, 1817, 221, 1719, 1047, 1502, 1453, 682, 1233, 1727, 1341, 727, 326, 1285, 571, 411, 0, 159, 1829, 25, 959, 609, 1314, 1323, 1320, 1340, 1410, 104, 230, 714, 549, 714, 18, 1513, 1649, 1698, 1634, 361, 1696, 774, 1417, 1399, 545, 1437, 1237, 1100, 931, 644, 1240, 972, 1325, 545, 944, 532, 1160, 1326, 521, 1279, 997, 581, 1417, 1308, 1160, 1640, 1272, 1284, 770, 885, 1075, 99, 707, 1109, 438, 453, 165, 244, 219, 453, 167, 244, 128011, 128001 ]

[ 128000, 128002, 3112, 568, 11, 499, 1440, 11, 45547, 398, 11, 499, 1440, 11, 1288, 617, 1027, 430, 11, 779, 11, 539, 42126, 1070, 13, 128003, 128005, 288, 229, 1418, 1462, 1141, 999, 855, 344, 983, 1667, 560, 1832, 903, 1570, 203, 1528, 1416, 1644, 1332, 1673, 749, 1369, 619, 700, 1612, 554, 856, 1514, 1673, 1406, 1338, 1514, 1062, 740, 572, 734, 925, 1288, 91, 542, 331, 832, 1570, 396, 669, 686, 1293, 428, 1637, 1340, 1006, 608, 203, 1768, 1057, 55, 1458, 1078, 1339, 1400, 946, 1687, 90, 659, 1774, 1709, 176, 1638, 1280, 1672, 687, 1712, 4, 1240, 1547, 1217, 1448, 1027, 443, 877, 870, 58, 1208, 1588, 1304, 295, 268, 91, 1225, 753, 843, 1225, 1002, 557, 1514, 1700, 160, 1687, 1709, 1735, 992, 608, 321, 1764, 6, 1243, 26, 1674, 1287, 1469, 1581, 766, 684, 584, 1668, 792, 852, 1277, 957, 1568, 1294, 1786, 1536, 939, 1383, 691, 1736, 1822, 1590, 1657, 1469, 1555, 666, 1762, 1257, 888, 1711, 1336, 865, 1353, 1510, 1457, 1781, 679, 1034, 1381, 1399, 1754, 1156, 1492, 1767, 949, 1668, 850, 1788, 1776, 810, 866, 1076, 936, 701, 1771, 1450, 485, 1758, 1, 1375, 1524, 778, 1494, 829, 1638, 1476, 520, 1446, 990, 629, 1724, 408, 1408, 1542, 987, 1465, 772, 987, 1601, 1628, 1780, 1073, 977, 886, 550, 1300, 1241, 828, 1088, 1686, 678, 1621, 95, 1214, 1444, 1310, 763, 940, 1360, 1048, 838, 1156, 476, 0, 744, 1452, 710, 900, 1815, 1089, 1077, 1668, 997, 759, 1223, 1487, 324, 1447, 1347, 847, 1399, 1647, 725, 1047, 1395, 1732, 1472, 1738, 1655, 1754, 416, 1238, 231, 298, 1146, 448, 485, 1451, 1366, 1477, 1823, 1732, 1260, 1556, 907, 1356, 1510, 9, 1686, 1806, 855, 1704, 1449, 1454, 1801, 1695, 615, 1360, 845, 638, 717, 717, 1285, 345, 516, 555, 423, 486, 975, 345, 572, 975, 334, 487, 504, 651, 496, 287, 673, 504, 169, 151, 417, 486, 274, 509, 680, 16, 334, 1246, 561, 624, 257, 567, 680, 625, 762, 680, 1242, 627, 1242, 544, 516, 766, 447, 513, 704, 624, 710, 1151, 601, 692, 509, 486, 851, 168, 566, 1242, 490, 696, 544, 469, 692, 1541, 1103, 1546, 1463, 1524, 966, 1683, 1180, 1318, 1427, 1241, 1746, 1281, 1036, 1530, 1408, 1456, 1137, 1170, 1361, 832, 1028, 580, 975, 1422, 530, 1766, 638, 702, 1763, 1595, 368, 1495, 977, 1285, 1110, 898, 1403, 1373, 1237, 1021, 1030, 1637, 1708, 1221, 572, 907, 1215, 1494, 1407, 136, 1221, 1470, 381, 1280, 1688, 1381, 1004, 58, 1136, 1568, 408, 1649, 1192, 483, 1421, 412, 1395, 982, 1005, 1468, 1109, 1134, 1426, 216, 751, 1367, 66, 869, 921, 470, 1303, 603, 139, 156, 244, 244, 128011, 128001 ]

[ 128000, 128002, 4071, 433, 596, 539, 24937, 323, 358, 2846, 539, 2771, 422, 430, 596, 1268, 814, 10825, 433, 311, 387, 477, 433, 596, 1193, 1606, 420, 374, 1093, 3169, 315, 264, 25018, 13, 1472, 1440, 11, 1120, 311, 312, 42612, 11, 499, 1440, 11, 505, 1063, 315, 856, 3766, 6946, 11, 682, 34546, 9515, 527, 49188, 47728, 11, 719, 539, 682, 47728, 527, 34546, 9515, 13, 1472, 649, 617, 264, 25018, 369, 34944, 4584, 53106, 13, 34944, 4584, 53106, 374, 539, 34546, 13, 128003, 128005, 313, 651, 1731, 841, 1150, 362, 569, 47, 1801, 179, 1583, 1263, 1542, 1668, 1189, 1120, 1494, 1517, 1766, 1456, 13, 1176, 1382, 1816, 867, 1549, 1337, 1283, 863, 546, 1296, 1280, 1677, 13, 1663, 595, 705, 1492, 560, 1086, 1686, 186, 1674, 1498, 1813, 1666, 1264, 1793, 1065, 1705, 1185, 1310, 1036, 1630, 895, 1116, 1815, 1411, 1086, 18, 621, 1580, 1160, 98, 990, 789, 1413, 1439, 583, 1585, 1729, 1772, 541, 154, 1313, 595, 105, 1503, 943, 1107, 328, 1086, 1332, 213, 1237, 1783, 22, 1736, 938, 1417, 548, 1752, 908, 1244, 1714, 971, 821, 1483, 838, 1170, 1277, 837, 1481, 548, 785, 670, 744, 423, 378, 762, 686, 1758, 901, 547, 836, 1127, 347, 466, 1261, 716, 980, 532, 325, 665, 662, 1519, 474, 41, 985, 621, 1690, 604, 408, 1073, 1651, 361, 1433, 1476, 1492, 430, 454, 1410, 356, 636, 1324, 1220, 1366, 341, 1814, 863, 972, 1476, 695, 1826, 1485, 1584, 1677, 1626, 1707, 1287, 955, 1487, 364, 1192, 943, 173, 983, 1160, 660, 1400, 1350, 1800, 428, 510, 886, 230, 1355, 1766, 1125, 589, 1368, 979, 386, 774, 1498, 609, 1509, 682, 1644, 1656, 1002, 757, 1027, 1690, 1042, 335, 1382, 1755, 844, 1210, 1139, 1624, 775, 866, 1013, 1287, 1740, 861, 1654, 22, 430, 46, 1434, 1329, 1117, 1489, 1125, 9, 656, 113, 397, 1546, 1743, 1317, 368, 836, 1698, 1217, 787, 870, 1337, 1423, 648, 63, 1409, 1639, 1759, 1381, 1781, 1615, 1451, 198, 870, 507, 154, 1156, 1437, 1230, 1685, 1604, 1472, 1039, 895, 738, 639, 1435, 323, 1407, 1384, 33, 1270, 700, 939, 6, 1662, 91, 1573, 1121, 229, 896, 1133, 287, 1121, 163, 459, 1311, 278, 1216, 905, 459, 1391, 136, 1154, 1157, 727, 121, 859, 406, 509, 601, 1038, 1636, 545, 1405, 860, 994, 782, 55, 1091, 614, 744, 1766, 1537, 640, 315, 1024, 1470, 1147, 730, 1719, 874, 917, 1535, 825, 1637, 1022, 1648, 123, 1719, 1136, 1478, 665, 1541, 335, 898, 1513, 1785, 363, 1400, 1238, 1397, 333, 1277, 1397, 956, 644, 1035, 644, 1627, 428, 519, 230, 1441, 416, 399, 1431, 1817, 664, 1652, 521, 1524, 1607, 448, 295, 1175, 213, 493, 1270, 1287, 1206, 1801, 1439, 1350, 1552, 183, 416, 1678, 1704, 809, 1205, 497, 1758, 1103, 113, 1214, 1138, 388, 1722, 1084, 1043, 1260, 229, 1064, 470, 891, 1027, 1429, 512, 1788, 1475, 1125, 147, 783, 947, 179, 949, 1310, 825, 872, 1156, 777, 1720, 856, 1496, 932, 1819, 1040, 1083, 1806, 732, 437, 661, 963, 470, 957, 1799, 1241, 1649, 1704, 1057, 1037, 1199, 475, 963, 1342, 354, 1642, 632, 1015, 406, 367, 895, 1304, 234, 322, 184, 1104, 628, 1494, 893, 191, 1721, 42, 1573, 631, 701, 409, 1429, 723, 1275, 347, 294, 1678, 1116, 386, 636, 545, 1385, 979, 1022, 1445, 1430, 932, 651, 1316, 531, 1028, 1489, 1289, 1375, 1799, 1448, 640, 1211, 1175, 1568, 1037, 767, 1707, 1292, 911, 1705, 767, 1637, 1754, 454, 1385, 1665, 781, 1071, 785, 526, 223, 435, 1277, 1829, 1436, 621, 1228, 944, 917, 849, 532, 1628, 117, 662, 654, 319, 22, 400, 1308, 376, 182, 29, 10, 181, 1018, 46, 687, 788, 298, 1687, 802, 1395, 1256, 102, 1369, 849, 13, 1336, 1710, 1515, 1754, 1537, 1128, 557, 986, 372, 593, 533, 756, 1605, 154, 614, 1354, 277, 1731, 277, 1155, 52, 702, 1630, 743, 657, 649, 695, 603, 9, 1703, 557, 1067, 577, 807, 980, 520, 1517, 398, 1457, 682, 1674, 750, 1452, 1698, 485, 1453, 967, 672, 80, 672, 548, 1070, 896, 338, 1471, 1373, 842, 1047, 1756, 943, 1392, 1178, 1426, 1087, 1355, 1453, 1350, 1535, 1685, 1436, 176, 1665, 719, 1475, 777, 1092, 1351, 78, 973, 585, 1263, 1215, 1444, 1708, 144, 1812, 1824, 1408, 1568, 202, 0, 14, 1370, 1317, 1089, 1298, 903, 217, 1782, 1082, 703, 938, 787, 1655, 847, 1380, 973, 1724, 621, 1414, 560, 1361, 408, 1104, 617, 1771, 1745, 437, 869, 1459, 1738, 1476, 1499, 794, 120, 372, 243, 150, 769, 270, 761, 162, 1709, 1068, 263, 882, 1087, 1400, 782, 1374, 122, 243, 1217, 69, 1310, 1091, 870, 1733, 1500, 822, 433, 1281, 605, 1470, 615, 1792, 1024, 1774, 69, 289, 529, 63, 626, 1, 1328, 797, 30, 41, 388, 1340, 1729, 213, 254, 485, 882, 1815, 0, 1710, 1754, 1436, 1788, 1404, 1412, 1819, 1393, 1795, 1754, 719, 1652, 924, 1735, 266, 1181, 405, 316, 986, 936, 1092, 567, 555, 1765, 712, 967, 1022, 1119, 1141, 321, 260, 1350, 1197, 991, 293, 892, 248, 234, 497, 83, 806, 777, 123, 9, 132, 844, 708, 55, 51, 1420, 1218, 182, 1158, 200, 1526, 1365, 1766, 1506, 727, 1227, 1821, 1241, 599, 1466, 631, 1098, 1687, 911, 1731, 1217, 907, 834, 315, 239, 609, 298, 1318, 931, 1340, 1229, 794, 969, 1019, 1751, 1636, 1549, 46, 510, 1283, 882, 1086, 1542, 1264, 1827, 1624, 1516, 1593, 1667, 1646, 1530, 1693, 1782, 800, 430, 1705, 1735, 1135, 569, 200, 996, 1177, 461, 88, 1502, 773, 173, 74, 913, 1177, 948, 93, 500, 1048, 1012, 886, 125, 1594, 863, 577, 18, 122, 1649, 1195, 1127, 1186, 248, 1439, 868, 1102, 1125, 1156, 809, 983, 1691, 910, 19, 407, 269, 1699, 901, 748, 1637, 1452, 1759, 1088, 1761, 1823, 911, 1462, 1221, 1126, 517, 83, 1460, 780, 876, 499, 376, 1083, 872, 1247, 395, 725, 1463, 19, 1698, 1464, 1682, 1761, 1245, 1801, 870, 825, 398, 959, 930, 1138, 850, 649, 353, 555, 523, 174, 377, 1827, 400, 736, 1205, 1091, 1686, 690, 916, 157, 195, 520, 811, 128, 100, 1109, 348, 87, 1461, 138, 959, 195, 192, 1641, 212, 1541, 191, 473, 1456, 1035, 67, 1018, 10, 1400, 977, 1399, 179, 949, 190, 1196, 277, 138, 67, 1257, 100, 1473, 1794, 1772, 1071, 1370, 407, 1342, 189, 452, 788, 230, 1809, 1057, 1660, 1279, 1175, 1632, 902, 1175, 1108, 1074, 1646, 924, 822, 1760, 1230, 117, 1668, 1329, 1677, 1668, 1225, 1408, 1114, 666, 169, 423, 1338, 1489, 741, 105, 1568, 822, 536, 1725, 1665, 1708, 92, 515, 1488, 535, 552, 479, 386, 903, 300, 880, 270, 364, 521, 236, 252, 1526, 1053, 552, 1810, 1078, 1089, 1331, 1708, 1033, 1511, 1277, 1245, 1159, 1289, 632, 267, 1369, 1429, 390, 972, 1423, 424, 462, 1799, 1183, 341, 1696, 653, 921, 1051, 449, 1311, 1419, 1683, 901, 1565, 1738, 1797, 1207, 1107, 931, 158, 234, 635, 938, 1031, 158, 503, 686, 1074, 557, 909, 1393, 1172, 79, 539, 1703, 1420, 646, 516, 1813, 1790, 448, 399, 1631, 1261, 1119, 1325, 958, 102, 1756, 400, 632, 546, 388, 926, 1094, 532, 1386, 1718, 1757, 328, 1018, 1436, 122, 1139, 1091, 1470, 1611, 639, 1678, 1803, 1700, 1232, 1404, 622, 1781, 660, 1511, 1332, 1044, 1098, 95, 5, 1113, 530, 1137, 879, 638, 1403, 581, 1714, 863, 1459, 1677, 1061, 1108, 1166, 1135, 969, 213, 1263, 1332, 700, 1100, 755, 1426, 1483, 1485, 952, 1619, 631, 1296, 1283, 901, 1264, 1470, 657, 1673, 1351, 1540, 1718, 1782, 939, 1720, 1193, 1355, 1436, 1277, 1420, 1203, 291, 1788, 991, 864, 915, 53, 637, 1780, 1189, 1426, 1252, 1203, 1434, 992, 1700, 1812, 1317, 1331, 1732, 1376, 882, 895, 1217, 1777, 1699, 1535, 1705, 1329, 1798, 1799, 1175, 1721, 1714, 1476, 964, 927, 1701, 1704, 927, 899, 1495, 1225, 832, 672, 772, 490, 281, 54, 601, 584, 1819, 779, 817, 1620, 733, 1451, 134, 1701, 1422, 1059, 39, 1737, 471, 748, 1450, 1341, 1781, 1029, 887, 239, 872, 402, 102, 1410, 604, 210, 1401, 1164, 836, 109, 1211, 1212, 248, 481, 1432, 317, 624, 1172, 353, 523, 1822, 1517, 471, 1722, 1230, 1435, 1265, 783, 148, 39, 1398, 1443, 388, 9, 1272, 1345, 1087, 22, 755, 1520, 1457, 395, 836, 182, 720, 696, 1720, 1732, 6, 129, 1777, 1253, 441, 614, 714, 1122, 1135, 67, 552, 714, 787, 687, 407, 1384, 1214, 1281, 1787, 1238, 1710, 1175, 1726, 1202, 1332, 1317, 1340, 182, 688, 1236, 1735, 1330, 856, 123, 411, 903, 595, 880, 69, 388, 1030, 178, 1438, 320, 249, 515, 1819, 19, 1333, 510, 688, 1722, 854, 217, 564, 1116, 1256, 742, 1375, 1540, 27, 1492, 1683, 1738, 1382, 1793, 328, 1830, 1148, 502, 79, 506, 1093, 49, 787, 1637, 243, 1760, 79, 7, 946, 510, 253, 1417, 828, 52, 1, 1034, 635, 775, 848, 1765, 1225, 1686, 1469, 793, 1311, 666, 1397, 449, 1255, 655, 638, 1145, 627, 735, 509, 624, 1244, 58, 1449, 961, 937, 1139, 827, 628, 195, 1633, 104, 514, 750, 848, 55, 1568, 1217, 109, 821, 1544, 917, 1147, 872, 935, 362, 1530, 1092, 1611, 727, 1741, 1805, 9, 376, 1068, 608, 1400, 214, 1642, 1521, 935, 1091, 662, 1713, 1615, 473, 33, 416, 1820, 1656, 1410, 575, 1785, 764, 1100, 985, 1066, 678, 656, 1008, 1053, 1723, 971, 1172, 1038, 1720, 581, 1434, 882, 1583, 1668, 1310, 955, 213, 1002, 983, 189, 1280, 547, 549, 775, 361, 1459, 1742, 519, 1533, 428, 213, 202, 399, 1468, 1324, 95, 753, 1477, 113, 1468, 1819, 1431, 1633, 1775, 1814, 1702, 1793, 1809, 1668, 128011, 128001 ]

[ 128000, 128002, 4071, 264, 26765, 1841, 374, 49188, 264, 25018, 1606, 433, 596, 864, 70666, 323, 2646, 1903, 433, 704, 8800, 36310, 13, 128003, 128005, 1446, 496, 1235, 82, 200, 243, 441, 93, 2, 364, 380, 829, 1286, 170, 892, 384, 1389, 1677, 1351, 1414, 1466, 1462, 1268, 1412, 1317, 1648, 1303, 978, 459, 1223, 526, 1489, 229, 378, 967, 470, 751, 1117, 1066, 1492, 901, 973, 962, 1243, 406, 1481, 1324, 357, 1139, 1824, 416, 1089, 798, 713, 24, 1127, 753, 1240, 1372, 901, 1382, 1247, 840, 1401, 428, 1624, 154, 129, 1364, 362, 997, 269, 1810, 1370, 903, 1243, 1667, 1508, 1765, 656, 1766, 1481, 1320, 173, 374, 1379, 573, 777, 749, 589, 1324, 565, 1055, 549, 779, 319, 1077, 1175, 525, 1654, 57, 1653, 129, 295, 1375, 648, 1823, 1589, 1518, 1176, 1489, 1466, 1766, 737, 1359, 333, 1341, 134, 878, 639, 615, 960, 1227, 1804, 1009, 1438, 719, 870, 1055, 1400, 358, 1258, 1263, 155, 385, 1147, 599, 1317, 1320, 1325, 41, 1533, 48, 1828, 1720, 1227, 1470, 297, 1706, 1009, 95, 1808, 780, 783, 750, 385, 1590, 1707, 594, 672, 1154, 163, 1510, 1777, 927, 805, 1196, 112, 480, 1372, 51, 1149, 1468, 847, 303, 1398, 1720, 346, 297, 607, 137, 384, 825, 1825, 1261, 1068, 1084, 1447, 1710, 154, 46, 1500, 1089, 1135, 1184, 321, 243, 961, 330, 1066, 110, 577, 1296, 809, 947, 1690, 1084, 1682, 1640, 1517, 1422, 879, 1589, 1306, 1504, 493, 1749, 1393, 1436, 1385, 788, 1495, 900, 885, 594, 566, 418, 484, 975, 334, 1108, 726, 910, 1643, 796, 831, 1570, 1695, 1553, 372, 1632, 1230, 1098, 610, 205, 1097, 297, 440, 660, 1087, 153, 1741, 1330, 519, 529, 1238, 129, 117, 546, 416, 1077, 1665, 1416, 1634, 1518, 1744, 448, 858, 1568, 1363, 1418, 1592, 1510, 584, 1557, 1822, 886, 1532, 1770, 1057, 1359, 1317, 922, 1059, 47, 109, 990, 836, 1523, 764, 272, 1830, 1456, 40, 578, 1092, 1687, 631, 1103, 929, 116, 1623, 725, 145, 929, 150, 1713, 1113, 1190, 128, 88, 125, 764, 956, 371, 983, 1296, 1077, 835, 1309, 1726, 1298, 592, 1226, 400, 454, 1059, 1300, 887, 1825, 1379, 1350, 1336, 1021, 184, 1613, 1287, 363, 1360, 1737, 1421, 1400, 1264, 1342, 917, 1228, 700, 810, 989, 935, 368, 1152, 0, 1030, 1788, 300, 1063, 1353, 560, 1486, 907, 1205, 530, 1686, 1672, 708, 1428, 798, 1714, 1444, 1298, 196, 864, 795, 1630, 882, 381, 1156, 919, 997, 231, 1348, 521, 6, 936, 587, 1238, 1526, 364, 1638, 1493, 239, 1469, 449, 459, 188, 1705, 1177, 1173, 1256, 1200, 1127, 1184, 521, 407, 1194, 1492, 386, 182, 1148, 269, 1278, 1267, 1504, 1484, 1032, 1108, 879, 693, 1227, 470, 1038, 591, 121, 1517, 1775, 1358, 1420, 1295, 1716, 1423, 946, 1136, 1294, 1087, 1097, 1013, 1235, 1291, 1388, 1310, 1756, 1388, 1097, 144, 1008, 772, 1396, 1205, 1653, 1704, 328, 1777, 1524, 308, 1478, 796, 1039, 1124, 802, 302, 1302, 949, 1302, 1444, 1457, 131, 361, 1543, 1534, 1726, 345, 1048, 636, 1725, 1496, 645, 1391, 1061, 1349, 1795, 62, 1565, 796, 1139, 1148, 146, 787, 705, 2, 100, 991, 93, 128, 1183, 1132, 931, 260, 1690, 545, 1636, 1087, 1315, 1611, 1378, 1677, 996, 1667, 725, 1447, 636, 687, 1797, 1524, 1790, 1637, 1410, 1707, 219, 165, 244, 244, 128011, 128001 ]

[ 128000, 128002, 2746, 2555, 374, 9124, 555, 264, 2883, 323, 3250, 956, 636, 389, 279, 36310, 520, 11040, 11, 433, 596, 264, 25018, 477, 264, 1296, 6689, 477, 6205, 11, 8996, 499, 1390, 311, 1650, 433, 13, 763, 856, 2363, 11, 814, 2351, 5128, 1790, 682, 279, 1890, 13, 128003, 128005, 436, 1333, 28, 966, 1680, 745, 466, 1715, 556, 1560, 1166, 1241, 1098, 213, 407, 398, 213, 768, 1202, 84, 1399, 51, 371, 897, 155, 521, 831, 755, 1365, 1789, 1690, 1730, 1422, 1656, 1320, 475, 315, 36, 6, 1281, 189, 1014, 335, 787, 1694, 79, 776, 1337, 1350, 1236, 1345, 1491, 1773, 1525, 733, 649, 1131, 199, 957, 548, 1408, 641, 717, 505, 567, 486, 16, 651, 659, 417, 651, 686, 762, 567, 1302, 1328, 1466, 1345, 775, 108, 184, 1616, 356, 648, 183, 863, 1782, 1586, 1664, 950, 1228, 1193, 872, 1519, 1808, 1448, 402, 728, 455, 328, 763, 1760, 1326, 1534, 817, 637, 647, 608, 725, 662, 817, 682, 1249, 849, 1502, 1544, 858, 1753, 189, 320, 1718, 399, 1479, 1654, 867, 1385, 816, 1271, 711, 82, 749, 173, 1638, 81, 1245, 705, 767, 573, 783, 714, 1053, 48, 1500, 1692, 1425, 1241, 1682, 1379, 1325, 1317, 1261, 552, 1698, 1113, 1427, 1126, 1650, 217, 1652, 1647, 850, 995, 1738, 1051, 1247, 588, 1035, 1449, 1615, 1757, 1330, 1436, 1261, 1794, 1646, 1087, 739, 1437, 736, 1267, 1021, 1697, 1594, 1699, 171, 984, 418, 531, 1244, 967, 437, 888, 513, 1185, 450, 651, 1288, 765, 627, 311, 566, 727, 465, 445, 555, 704, 832, 1731, 1041, 955, 1027, 1156, 1310, 1715, 57, 1302, 1069, 1228, 269, 888, 738, 1796, 861, 66, 1479, 1717, 1376, 940, 1204, 764, 626, 132, 699, 1741, 791, 112, 1494, 1422, 467, 197, 749, 108, 175, 230, 890, 798, 1382, 1459, 1186, 858, 1661, 700, 108, 1444, 495, 1676, 1456, 1807, 1765, 1181, 1039, 1112, 984, 914, 1541, 444, 544, 676, 114, 496, 1824, 183, 18, 1814, 230, 657, 1649, 1, 123, 1488, 28, 203, 1429, 901, 1308, 1331, 1097, 1186, 1030, 938, 705, 1373, 1166, 607, 1730, 1056, 913, 1292, 682, 1472, 636, 945, 1019, 1681, 1649, 532, 1453, 833, 297, 1709, 308, 1596, 556, 454, 1089, 253, 1395, 979, 253, 1120, 944, 580, 1021, 210, 1740, 764, 723, 79, 1202, 1141, 192, 1162, 1192, 367, 1328, 1045, 234, 1229, 1541, 158, 1385, 1384, 1502, 1735, 1743, 863, 901, 634, 46, 1436, 328, 1403, 1458, 1691, 1694, 1302, 1641, 460, 1714, 1367, 1095, 1228, 1208, 1063, 886, 880, 1690, 371, 53, 1280, 808, 147, 73, 736, 1204, 910, 700, 332, 1232, 1471, 1248, 611, 772, 176, 326, 1713, 780, 98, 731, 57, 1605, 231, 363, 1807, 1543, 1658, 415, 18, 1091, 166, 1232, 1306, 393, 647, 634, 1132, 587, 1827, 467, 1351, 632, 1814, 934, 1335, 1638, 1189, 1475, 1751, 1716, 1410, 1769, 1378, 725, 1227, 493, 532, 1642, 1678, 1643, 1376, 230, 1061, 320, 1173, 1524, 1710, 1756, 1664, 1597, 1788, 1375, 1317, 1329, 1730, 1799, 1190, 1148, 83, 923, 864, 1168, 632, 29, 1421, 1213, 205, 1648, 1155, 774, 1684, 1076, 1699, 1439, 636, 198, 1500, 1820, 1066, 1499, 648, 1459, 1210, 1358, 1064, 550, 549, 1043, 466, 556, 1467, 1268, 1738, 470, 1108, 1064, 437, 1028, 548, 266, 1611, 747, 1262, 486, 1070, 869, 1111, 1095, 1373, 871, 1827, 1381, 695, 1440, 9, 927, 703, 1092, 1152, 199, 1519, 510, 178, 46, 1067, 1313, 1105, 210, 764, 1182, 25, 475, 512, 550, 22, 1272, 945, 471, 1002, 794, 556, 1171, 276, 178, 1412, 1002, 1206, 73, 47, 1173, 841, 461, 173, 1487, 164, 1122, 254, 1196, 678, 1260, 203, 1303, 1427, 1038, 1067, 1095, 1199, 1260, 449, 1043, 638, 717, 1227, 199, 42, 405, 526, 1321, 351, 1163, 265, 916, 693, 1731, 394, 584, 783, 905, 1253, 877, 1027, 725, 1518, 409, 858, 556, 46, 454, 409, 1337, 1122, 750, 664, 1661, 549, 303, 328, 1647, 1136, 1230, 787, 1661, 1548, 1736, 1654, 933, 495, 991, 1106, 217, 1700, 829, 1607, 959, 1635, 1456, 1274, 1268, 1705, 1746, 117, 1833, 1412, 870, 1504, 1034, 1649, 1448, 1139, 1754, 902, 1451, 1033, 1621, 1478, 845, 578, 1137, 423, 672, 942, 1493, 1429, 1232, 249, 1460, 1473, 67, 1066, 297, 100, 1147, 892, 714, 742, 1257, 1649, 1218, 1082, 1451, 1102, 230, 1486, 1209, 362, 1401, 217, 787, 616, 1774, 642, 703, 719, 524, 1629, 768, 203, 1041, 1454, 29, 1799, 272, 1309, 790, 1448, 1660, 1201, 695, 1367, 248, 1455, 1119, 367, 1271, 1179, 192, 1173, 826, 36, 1332, 1506, 1611, 1331, 1295, 1797, 1630, 1453, 1106, 598, 460, 879, 717, 1714, 1486, 1632, 1476, 981, 1175, 1741, 1360, 493, 1478, 1292, 1313, 1144, 793, 1475, 601, 1120, 693, 712, 387, 971, 257, 765, 923, 1273, 1080, 1474, 1242, 136, 465, 984, 1289, 1799, 322, 117, 317, 1290, 93, 1635, 958, 660, 969, 383, 106, 1435, 517, 221, 1532, 152, 1409, 858, 564, 1665, 1791, 1252, 1211, 573, 472, 1586, 557, 781, 73, 861, 1800, 831, 1504, 1572, 735, 1451, 1738, 569, 1631, 913, 1146, 307, 396, 1121, 353, 301, 763, 1736, 656, 1785, 1064, 1462, 626, 1226, 911, 184, 1323, 962, 703, 1225, 1296, 310, 1478, 1001, 19, 1138, 628, 1681, 1467, 519, 863, 1391, 1483, 408, 1385, 1087, 920, 1149, 1675, 1378, 1369, 1716, 1486, 1311, 1470, 519, 1549, 276, 1450, 440, 129, 546, 202, 1324, 1226, 626, 1215, 1733, 375, 183, 1424, 1355, 1686, 595, 1624, 1499, 1448, 1663, 1504, 1485, 530, 837, 1472, 1629, 685, 1360, 89, 165, 244, 244, 128011, 128001 ]

[ 128000, 128002, 4516, 568, 596, 2751, 420, 2697, 24914, 1618, 430, 16181, 7188, 36125, 33622, 13, 2100, 430, 596, 14224, 539, 1972, 13, 1102, 596, 961, 315, 279, 13, 128003, 128005, 325, 265, 1250, 399, 1634, 308, 750, 1758, 1073, 617, 243, 1394, 647, 49, 1249, 510, 319, 1315, 263, 125, 946, 162, 170, 721, 961, 100, 1427, 1273, 1476, 1481, 1005, 425, 381, 293, 1828, 1618, 315, 368, 654, 52, 1701, 376, 1716, 74, 1494, 55, 195, 998, 200, 67, 1318, 1243, 1810, 1389, 1467, 1788, 1457, 855, 115, 155, 955, 186, 901, 306, 208, 1135, 339, 300, 880, 300, 371, 518, 137, 362, 1736, 1682, 1502, 519, 599, 1811, 581, 817, 1126, 1281, 234, 920, 502, 1272, 543, 807, 1267, 380, 1462, 248, 49, 688, 1073, 234, 1304, 999, 1803, 1794, 1341, 444, 1054, 399, 946, 1073, 1547, 1804, 230, 1503, 1323, 1565, 1549, 1709, 198, 1296, 927, 18, 1821, 1448, 1012, 1119, 512, 1532, 1279, 1036, 1196, 777, 107, 983, 412, 1332, 1200, 614, 376, 965, 550, 969, 887, 774, 1344, 695, 184, 653, 1511, 1686, 1541, 1803, 1006, 1038, 711, 1826, 827, 1027, 1525, 927, 1795, 1738, 1532, 1623, 1797, 1654, 417, 1519, 1805, 1230, 1436, 897, 1534, 1079, 1046, 1366, 1670, 191, 1366, 688, 1477, 1160, 1291, 1105, 1387, 1520, 108, 952, 1554, 286, 917, 1238, 1457, 628, 137, 1368, 547, 1078, 1409, 599, 1698, 127, 347, 1013, 1752, 993, 1453, 1098, 1611, 1010, 1331, 1745, 951, 931, 569, 1416, 303, 798, 648, 626, 787, 658, 1173, 1286, 877, 1163, 1682, 1229, 517, 1827, 1421, 1105, 934, 95, 76, 433, 65, 352, 303, 522, 723, 1697, 1344, 1545, 1820, 1455, 1114, 822, 1082, 1698, 626, 901, 1517, 1160, 623, 1461, 1761, 250, 516, 1096, 1456, 570, 1828, 1473, 1036, 1520, 1669, 1721, 1814, 543, 1459, 1074, 349, 1803, 927, 1235, 1583, 985, 1447, 1475, 715, 839, 742, 1521, 965, 289, 117, 1169, 234, 84, 1008, 1783, 215, 575, 1659, 1484, 705, 397, 302, 952, 1494, 1339, 1157, 1095, 336, 1227, 353, 1385, 1438, 1289, 1170, 1829, 1205, 927, 1779, 1355, 1412, 1809, 1034, 1766, 1714, 1082, 1822, 1104, 788, 1385, 1379, 1770, 460, 866, 680, 1085, 202, 1349, 50, 911, 1777, 892, 411, 870, 1391, 860, 30, 214, 1635, 999, 1342, 443, 1266, 1633, 807, 1142, 42, 80, 460, 1071, 732, 1689, 1480, 936, 925, 513, 727, 16, 486, 696, 509, 601, 505, 673, 487, 423, 936, 496, 765, 406, 257, 334, 566, 692, 624, 824, 496, 274, 736, 1232, 1260, 1256, 610, 1532, 446, 1698, 1829, 1590, 1403, 124, 1061, 577, 1190, 1420, 1184, 1081, 364, 1165, 179, 958, 806, 1078, 936, 1281, 1772, 987, 1466, 871, 546, 1335, 749, 320, 901, 230, 368, 1215, 1403, 951, 1752, 1004, 1396, 328, 748, 1146, 877, 1168, 755, 937, 1088, 626, 1040, 705, 1097, 1755, 1058, 1306, 1323, 523, 1316, 594, 918, 1123, 437, 1809, 482, 568, 1799, 133, 534, 1409, 90, 231, 688, 608, 63, 1244, 479, 1473, 639, 592, 937, 1394, 1378, 969, 1255, 552, 1373, 466, 1509, 1460, 1748, 1700, 448, 656, 719, 1549, 1003, 1724, 1743, 1036, 1232, 873, 715, 291, 1465, 944, 937, 1397, 364, 449, 1345, 521, 1343, 934, 1256, 1274, 952, 1705, 1070, 1181, 1565, 610, 1628, 467, 1675, 794, 1318, 297, 384, 1824, 1237, 1320, 1662, 1015, 1292, 1723, 1373, 1705, 470, 1154, 693, 470, 1421, 735, 1007, 156, 156, 453, 244, 128011, 128001 ]

[ 128000, 128002, 39314, 279, 436, 57229, 11, 358, 1781, 374, 279, 4495, 4751, 11, 13358, 483, 7895, 323, 37755, 31023, 13, 128003, 128005, 265, 504, 1793, 1468, 1276, 425, 1657, 294, 1609, 757, 925, 1008, 740, 825, 1294, 1366, 1275, 508, 1291, 348, 588, 124, 580, 344, 613, 1634, 361, 1219, 582, 1555, 1753, 1641, 855, 1004, 1315, 798, 1321, 935, 876, 336, 307, 1103, 1070, 663, 532, 5, 359, 1477, 1180, 524, 553, 1691, 1235, 252, 834, 1388, 1701, 1045, 1278, 1494, 910, 546, 1356, 1195, 890, 721, 182, 834, 1291, 1320, 1311, 1186, 1078, 1466, 1100, 1088, 1651, 1670, 1278, 134, 1677, 1734, 1831, 1642, 1573, 1122, 1351, 1303, 1494, 175, 310, 1813, 1168, 1757, 1620, 1339, 1405, 653, 670, 1121, 470, 680, 563, 449, 1609, 1514, 1455, 1701, 1663, 1312, 1804, 533, 473, 920, 1363, 736, 368, 652, 1546, 679, 1331, 1287, 514, 1820, 273, 1610, 1830, 1597, 1771, 1746, 1609, 1716, 1495, 1693, 1038, 1611, 1155, 514, 753, 1435, 499, 302, 495, 1420, 815, 1279, 1828, 1137, 1316, 1525, 1422, 409, 1748, 1403, 1451, 58, 977, 239, 1541, 1097, 92, 1008, 1434, 1774, 1103, 1073, 1540, 1590, 1766, 1581, 1010, 1743, 307, 578, 1131, 1070, 1632, 1049, 601, 676, 169, 1378, 639, 1086, 1073, 1186, 741, 1005, 210, 1253, 948, 1081, 1332, 1485, 1533, 592, 15, 882, 882, 183, 1166, 175, 1790, 1741, 1587, 1795, 1688, 1416, 1417, 1621, 1798, 1633, 1452, 1048, 1225, 1661, 576, 1372, 1429, 1487, 806, 1411, 1042, 1399, 1075, 789, 849, 1155, 911, 395, 1768, 1308, 1025, 1710, 853, 1510, 787, 1032, 1742, 518, 1525, 191, 1590, 1247, 662, 1711, 126, 1794, 1744, 1676, 1718, 1592, 1391, 1086, 1140, 1078, 622, 1755, 106, 1226, 210, 1404, 53, 1450, 777, 1086, 889, 1742, 860, 1333, 556, 518, 793, 1502, 1339, 719, 1467, 908, 672, 1277, 1328, 1634, 199, 1033, 1474, 1424, 884, 951, 1792, 26, 913, 778, 1335, 1250, 123, 1571, 123, 554, 1691, 1402, 4, 426, 1210, 1270, 1774, 1308, 108, 1206, 62, 362, 1155, 500, 1798, 822, 230, 1581, 32, 485, 1652, 1532, 713, 1671, 1061, 1091, 1298, 802, 1458, 1677, 1290, 1705, 1568, 1583, 1447, 1057, 219, 165, 453, 219, 128011, 128001 ]

[ 128000, 128002, 1966, 813, 2697, 9072, 1314, 1618, 11, 568, 1101, 706, 430, 1890, 12708, 11, 1120, 28296, 10284, 22009, 13, 128003, 128005, 933, 377, 1262, 1079, 266, 163, 1675, 1110, 1716, 847, 569, 1651, 1002, 116, 1263, 22, 1209, 1005, 1296, 200, 834, 644, 1528, 858, 508, 1563, 1376, 124, 1533, 1645, 1744, 1208, 966, 1394, 1358, 182, 217, 456, 1787, 1029, 614, 1582, 874, 98, 1057, 1399, 1733, 1178, 1195, 886, 115, 1494, 463, 115, 1310, 172, 210, 1686, 800, 390, 1447, 996, 1464, 1374, 742, 1199, 1816, 1207, 665, 1757, 1107, 320, 397, 787, 1437, 999, 767, 834, 1659, 1139, 1625, 1535, 1487, 1556, 28, 1427, 132, 1452, 1509, 1247, 831, 1259, 0, 1207, 822, 1333, 1656, 233, 529, 184, 529, 1794, 1690, 609, 777, 1627, 1105, 589, 1004, 1184, 997, 205, 910, 1651, 1184, 127, 57, 1566, 848, 560, 1354, 276, 176, 1372, 678, 1399, 1122, 22, 1483, 128, 500, 341, 1815, 1091, 753, 1604, 1387, 1441, 1733, 1500, 901, 352, 1401, 499, 907, 519, 529, 1406, 1797, 1773, 1370, 129, 1393, 631, 1166, 1329, 50, 26, 1200, 1040, 1484, 759, 122, 125, 197, 849, 1116, 599, 217, 1828, 919, 395, 1537, 1091, 48, 1802, 1374, 935, 1679, 600, 1536, 614, 1109, 1240, 411, 1580, 248, 1780, 637, 575, 344, 158, 810, 333, 444, 578, 759, 462, 1702, 1395, 1066, 433, 1832, 1232, 13, 302, 502, 1668, 871, 1554, 1759, 1814, 635, 719, 1698, 1032, 1393, 752, 516, 1199, 681, 822, 1621, 1387, 399, 1302, 822, 1682, 789, 1779, 595, 1554, 448, 687, 1641, 67, 1624, 1701, 1549, 1248, 1134, 1125, 1317, 1053, 1666, 639, 1088, 1306, 1646, 1671, 589, 1258, 755, 424, 1812, 1424, 789, 289, 455, 310, 1439, 1051, 1367, 508, 539, 649, 1166, 506, 1621, 1261, 363, 404, 687, 1546, 202, 1310, 26, 315, 1450, 1061, 416, 1738, 1372, 595, 1102, 621, 128, 298, 1192, 927, 1403, 910, 1145, 1718, 1545, 1013, 1347, 817, 123, 1593, 62, 480, 1631, 1628, 1152, 1500, 577, 718, 47, 1827, 723, 993, 576, 1831, 870, 1810, 736, 1758, 1043, 839, 1556, 1350, 1275, 1064, 913, 648, 1793, 470, 1229, 1766, 1068, 1367, 1141, 1686, 990, 825, 1763, 1057, 662, 1640, 1037, 322, 242, 978, 229, 1623, 1469, 32, 691, 891, 795, 694, 1096, 1543, 1176, 712, 165, 156, 453, 244, 167, 128011, 128001 ]

[ 128000, 128002, 40, 2216, 656, 1093, 813, 8071, 7645, 1618, 13, 1102, 596, 9960, 449, 264, 3169, 315, 342, 5328, 477, 264, 1131, 128003, 128005, 1016, 1011, 792, 578, 563, 470, 1199, 1276, 1187, 886, 291, 1086, 636, 1454, 138, 515, 738, 983, 1819, 350, 1222, 429, 195, 24, 1119, 439, 243, 945, 966, 407, 1767, 1057, 1401, 1520, 154, 315, 1155, 1412, 1638, 182, 488, 1093, 1375, 173, 443, 1460, 573, 1180, 263, 326, 802, 466, 363, 1476, 733, 1665, 1097, 1223, 596, 326, 1580, 1374, 1626, 1376, 1549, 1298, 931, 723, 1304, 665, 1206, 1245, 179, 1203, 937, 270, 1162, 402, 1184, 730, 510, 855, 1238, 147, 1421, 110, 320, 322, 847, 1667, 1545, 848, 648, 793, 67, 1303, 782, 1287, 1724, 333, 1634, 826, 991, 1462, 403, 1403, 1107, 1256, 847, 564, 1400, 1772, 1494, 599, 1393, 1178, 10, 1432, 362, 1402, 1370, 779, 1703, 1827, 1530, 1724, 1473, 1215, 910, 968, 1330, 1487, 1278, 832, 951, 362, 1811, 908, 370, 1721, 1323, 944, 78, 663, 661, 594, 693, 1451, 1285, 1412, 1600, 1003, 979, 1737, 1448, 1024, 1456, 1230, 1250, 1144, 976, 513, 378, 1362, 1299, 1142, 888, 888, 28, 166, 362, 24, 1376, 1589, 1412, 1462, 1434, 736, 1129, 697, 260, 1325, 1182, 159, 1335, 1300, 214, 1711, 1445, 1181, 927, 211, 1115, 1021, 529, 429, 1028, 1382, 478, 1621, 564, 950, 1044, 1016, 112, 900, 648, 354, 640, 321, 1545, 1679, 1594, 1448, 1664, 1385, 1664, 1424, 19, 768, 1109, 201, 1330, 483, 1823, 1129, 7, 1272, 182, 1060, 1253, 38, 1261, 903, 733, 1485, 881, 1365, 1255, 1096, 437, 284, 188, 555, 325, 1071, 1628, 641, 516, 1474, 1080, 923, 544, 939, 1805, 1480, 1223, 1088, 805, 1707, 1303, 1066, 809, 1355, 1261, 621, 1002, 1196, 1153, 88, 1818, 913, 719, 1594, 1494, 870, 1607, 1716, 869, 703, 838, 1219, 250, 586, 734, 1390, 1376, 955, 886, 159, 41, 1135, 1122, 215, 1195, 93, 474, 1260, 88, 1203, 699, 741, 660, 79, 58, 800, 444, 1825, 1811, 1605, 1077, 879, 1588, 413, 505, 806, 427, 1783, 267, 1152, 1075, 611, 1728, 871, 1714, 926, 297, 27, 589, 1321, 992, 192, 585, 1202, 467, 406, 1140, 113, 534, 1055, 642, 1456, 1133, 1235, 1800, 1062, 1298, 719, 887, 22, 1123, 756, 15, 1456, 388, 1691, 1666, 234, 1627, 1347, 388, 1343, 921, 964, 1268, 80, 795, 1123, 1746, 1621, 156, 156, 244, 244, 128011, 128001 ]

[ 128000, 128002, 2059, 1037, 1618, 11, 264, 2145, 269, 13, 3011, 596, 264, 12466, 5774, 6710, 13, 2100, 1633, 1664, 34558, 1070, 430, 814, 3779, 430, 389, 13, 26823, 3245, 449, 1521, 14365, 1618, 323, 1268, 814, 2351, 33740, 13, 15668, 7155, 13, 5046, 3388, 499, 2751, 279, 42742, 1618, 13, 128003, 128005, 1390, 704, 832, 465, 668, 1227, 760, 1687, 1212, 154, 1397, 178, 788, 1303, 543, 1355, 943, 253, 1631, 1364, 718, 599, 1772, 221, 122, 1364, 545, 52, 1636, 1282, 45, 63, 201, 143, 98, 746, 1040, 1245, 652, 1650, 1678, 1463, 533, 713, 1831, 1729, 1175, 1356, 328, 1803, 1498, 213, 514, 1682, 347, 1150, 695, 15, 1032, 1072, 1786, 789, 508, 1339, 689, 1596, 588, 323, 789, 1750, 18, 935, 1758, 1495, 1312, 1565, 1552, 1828, 1766, 699, 829, 422, 1208, 115, 1180, 9, 115, 1331, 306, 474, 471, 82, 682, 166, 248, 1487, 1370, 1240, 834, 1660, 592, 428, 1394, 1439, 1175, 1415, 376, 108, 268, 1437, 1441, 1209, 1098, 1732, 1149, 1618, 1444, 1164, 1773, 953, 1735, 671, 526, 929, 80, 891, 1572, 490, 1721, 585, 1181, 704, 751, 1233, 584, 923, 1007, 765, 971, 1284, 861, 1443, 1714, 1087, 1432, 1141, 1344, 1380, 1650, 1685, 34, 546, 848, 1129, 730, 1229, 1285, 1708, 1788, 86, 563, 1556, 1690, 231, 1668, 933, 1210, 1344, 424, 1718, 173, 1331, 82, 1073, 306, 76, 1309, 386, 637, 1671, 1341, 239, 1394, 1217, 320, 1238, 1337, 368, 1583, 231, 1818, 1320, 321, 802, 1604, 1804, 1354, 1185, 1511, 1021, 1304, 1021, 1119, 1228, 937, 1327, 949, 1684, 1004, 1469, 848, 183, 1296, 198, 1476, 344, 231, 1790, 660, 640, 1069, 1496, 108, 1008, 490, 560, 1451, 921, 1332, 1655, 240, 1738, 174, 77, 1405, 1032, 1139, 1175, 1798, 533, 1761, 514, 1518, 1225, 1827, 124, 1712, 1503, 1560, 1068, 990, 1647, 1742, 415, 1646, 1283, 129, 1588, 448, 117, 1451, 1376, 1632, 865, 1616, 1322, 634, 1713, 924, 1215, 1121, 1134, 1568, 1211, 1175, 1749, 1448, 1238, 1118, 1519, 1781, 1121, 1451, 981, 1705, 1145, 1038, 950, 795, 712, 1616, 426, 398, 1027, 704, 1565, 977, 1496, 1001, 182, 387, 73, 1647, 734, 1350, 1737, 1740, 1700, 1552, 1685, 511, 1466, 1146, 622, 182, 455, 1437, 253, 545, 549, 63, 214, 129, 1666, 1054, 28, 621, 317, 669, 1502, 456, 1026, 1777, 173, 553, 1584, 996, 390, 1786, 95, 834, 1646, 1365, 1251, 1305, 1686, 1489, 1651, 1504, 1170, 1711, 1154, 1245, 569, 1069, 943, 589, 1098, 306, 228, 1054, 524, 1143, 955, 297, 1355, 1502, 1494, 844, 1702, 1195, 1793, 1648, 1646, 1468, 1317, 1337, 695, 286, 1750, 678, 1360, 1472, 1705, 1806, 66, 888, 1714, 359, 1747, 589, 132, 1056, 774, 1304, 798, 213, 1271, 855, 844, 1716, 221, 1513, 1047, 1758, 759, 1062, 1394, 1096, 297, 1146, 642, 1351, 1251, 79, 1737, 1386, 1297, 1603, 1010, 1688, 1671, 1107, 1217, 1431, 57, 28, 1347, 903, 1641, 17, 1808, 1193, 1438, 1203, 1132, 790, 951, 384, 1184, 1083, 282, 816, 1107, 1403, 1484, 876, 500, 740, 1107, 1337, 1353, 969, 338, 678, 1654, 734, 1301, 1805, 5, 1736, 1195, 53, 1748, 1132, 192, 1051, 664, 371, 1630, 1736, 1739, 988, 869, 1328, 984, 1033, 1179, 1268, 9, 1234, 1459, 614, 1047, 1426, 1030, 907, 1286, 1501, 1113, 13, 395, 966, 961, 1180, 57, 341, 1415, 1221, 1265, 1355, 1493, 1280, 1624, 1778, 1409, 1406, 1099, 1506, 338, 1064, 1158, 378, 1393, 1158, 1214, 1701, 1003, 1175, 1553, 1099, 1349, 891, 999, 1752, 967, 989, 1321, 976, 1528, 832, 578, 724, 460, 1543, 928, 1568, 230, 1710, 6, 154, 1583, 1466, 1342, 93, 1015, 527, 1320, 107, 26, 644, 821, 834, 1593, 1513, 1610, 1524, 1592, 1421, 1395, 294, 1035, 1018, 374, 1711, 1470, 1093, 485, 503, 1228, 203, 42, 1221, 738, 22, 1508, 1274, 964, 1799, 1486, 1021, 1823, 234, 1512, 949, 713, 1381, 1702, 230, 1773, 1539, 1217, 1615, 1363, 1769, 1768, 636, 1694, 780, 1149, 1385, 158, 389, 1561, 525, 1640, 1532, 443, 211, 1630, 1121, 1207, 155, 268, 217, 482, 1034, 979, 191, 1673, 282, 319, 124, 479, 1631, 69, 927, 1057, 962, 1258, 529, 182, 48, 1082, 1720, 1271, 430, 1341, 1022, 678, 1590, 1040, 1630, 788, 312, 1672, 1178, 98, 1817, 1005, 887, 347, 147, 1421, 934, 656, 1330, 966, 1090, 798, 388, 1239, 1440, 1186, 772, 53, 1340, 562, 446, 1794, 946, 547, 1445, 490, 1105, 1356, 1429, 1415, 1622, 1429, 1265, 1424, 1309, 956, 411, 1379, 147, 1150, 1212, 173, 395, 1649, 569, 1598, 847, 1093, 1788, 1497, 1092, 1115, 795, 1253, 629, 1534, 1420, 1119, 1075, 158, 1645, 1261, 576, 825, 1361, 886, 614, 1790, 725, 876, 1412, 979, 29, 48, 495, 1009, 29, 317, 1279, 1099, 1463, 1560, 1530, 1349, 882, 1521, 230, 1404, 1432, 1451, 1803, 1639, 1703, 1079, 1570, 1514, 923, 1694, 732, 630, 661, 40, 837, 1373, 378, 1519, 936, 869, 1632, 1038, 1797, 1628, 1268, 1694, 710, 42, 712, 460, 121, 710, 1092, 274, 351, 717, 1538, 1419, 957, 1570, 939, 896, 1514, 805, 1527, 1554, 1435, 1238, 721, 1342, 493, 1190, 190, 616, 639, 1074, 983, 779, 372, 1392, 1029, 631, 1388, 1240, 335, 810, 1475, 1759, 776, 1259, 1814, 1489, 1310, 1770, 1752, 1669, 1159, 805, 705, 564, 1606, 482, 1555, 721, 1796, 354, 1608, 456, 1608, 291, 1696, 411, 1763, 297, 1257, 1781, 1357, 1797, 617, 1467, 1118, 1052, 772, 1478, 229, 1233, 1289, 513, 805, 967, 1465, 1151, 933, 1693, 436, 727, 694, 692, 805, 325, 1023, 710, 16, 555, 1176, 1244, 1003, 1474, 686, 1465, 1614, 121, 1525, 509, 516, 585, 585, 1408, 939, 680, 651, 1242, 1289, 1568, 939, 1199, 1228, 513, 495, 1687, 674, 902, 978, 933, 1104, 86, 781, 1738, 627, 1024, 891, 1279, 1322, 971, 950, 274, 1118, 1802, 1721, 1071, 676, 1348, 1704, 1233, 378, 735, 936, 1475, 1757, 641, 1819, 477, 1739, 1685, 443, 814, 1146, 1069, 1560, 822, 1759, 510, 1146, 1786, 409, 1430, 736, 1146, 1252, 1021, 1308, 1467, 802, 1386, 1431, 1158, 833, 159, 1782, 791, 1055, 1034, 82, 1637, 82, 1797, 422, 57, 900, 637, 1828, 1274, 1064, 1063, 1038, 1669, 1788, 1221, 1484, 892, 355, 1516, 1793, 35, 1301, 1043, 251, 765, 1475, 1690, 1517, 1708, 1312, 169, 536, 957, 492, 1711, 569, 4, 705, 6, 730, 541, 695, 1284, 50, 518, 784, 428, 716, 608, 844, 877, 968, 1594, 1491, 1363, 1753, 1376, 1376, 0, 409, 1018, 1638, 62, 1496, 911, 1309, 1487, 202, 143, 92, 945, 1124, 454, 1209, 1258, 409, 721, 1733, 592, 1487, 1209, 1004, 810, 1225, 1716, 470, 1164, 883, 513, 1475, 984, 1003, 1003, 128011, 128001 ]

[ 128000, 128002, 23956, 814, 682, 11816, 3871, 439, 499, 649, 1518, 1070, 13, 358, 2846, 539, 2133, 311, 656, 430, 1606, 814, 2351, 264, 2697, 45350, 323, 358, 1093, 1268, 814, 527, 1314, 1457, 13, 2435, 2351, 682, 9041, 10980, 18813, 779, 499, 649, 3169, 315, 12903, 433, 2212, 13, 2030, 814, 1053, 682, 11816, 709, 13, 128003, 128005, 1362, 377, 627, 1585, 465, 1137, 1189, 1117, 583, 454, 814, 1390, 1795, 1737, 129, 895, 634, 749, 1405, 552, 1218, 980, 944, 112, 1602, 1182, 1191, 1296, 93, 1639, 82, 1167, 422, 477, 1825, 306, 553, 455, 1111, 1434, 306, 214, 1531, 1320, 1445, 1521, 1241, 1556, 901, 1660, 1292, 315, 1099, 1746, 816, 525, 332, 1665, 260, 481, 1644, 475, 810, 1701, 475, 1472, 1393, 703, 59, 1736, 1025, 1737, 848, 1104, 198, 1370, 1496, 1241, 326, 1290, 725, 1446, 870, 869, 359, 485, 699, 1769, 271, 1195, 467, 239, 855, 508, 804, 639, 871, 980, 475, 786, 466, 1003, 113, 752, 759, 1198, 714, 1257, 479, 762, 1326, 1225, 1272, 1580, 295, 1699, 448, 1682, 930, 825, 817, 1323, 842, 1234, 989, 932, 286, 1725, 1456, 1646, 920, 930, 198, 1355, 166, 315, 1215, 166, 1631, 1496, 1281, 778, 361, 1290, 123, 1228, 1482, 1635, 344, 921, 1168, 708, 882, 1115, 15, 1208, 1140, 132, 1087, 1345, 1073, 1207, 65, 1317, 1055, 346, 1200, 797, 1254, 876, 1272, 414, 1170, 148, 758, 1331, 1402, 113, 225, 1303, 1143, 252, 1498, 1088, 109, 1448, 1773, 727, 1261, 730, 959, 1430, 1511, 557, 1458, 1340, 160, 22, 1249, 1682, 805, 550, 928, 1048, 1832, 1689, 804, 1796, 591, 1600, 198, 1687, 990, 961, 1145, 587, 1557, 730, 888, 1374, 921, 769, 389, 867, 576, 1385, 665, 839, 863, 1122, 1226, 956, 783, 714, 1172, 461, 1487, 714, 738, 1448, 1227, 396, 1743, 1385, 1188, 117, 1137, 1803, 1216, 73, 1783, 1041, 1189, 128, 1729, 1356, 1790, 926, 1563, 1678, 1646, 510, 368, 1532, 368, 1817, 1777, 1617, 1033, 1370, 1754, 1421, 767, 1525, 1411, 1524, 1037, 1342, 1722, 1211, 1349, 1233, 1458, 1145, 1092, 274, 625, 555, 1652, 799, 869, 1373, 708, 938, 532, 1142, 1345, 988, 1600, 260, 1346, 719, 828, 683, 876, 810, 1797, 1087, 653, 289, 1487, 1744, 1212, 675, 289, 374, 576, 917, 1513, 1498, 1661, 648, 1802, 595, 1337, 1448, 714, 1737, 1489, 626, 149, 1147, 456, 132, 1122, 1483, 537, 1107, 128, 1201, 467, 595, 934, 1364, 777, 1476, 679, 134, 117, 1772, 1310, 1535, 1113, 600, 1327, 973, 987, 1832, 532, 1425, 1720, 1371, 1704, 805, 932, 772, 1277, 593, 1658, 1658, 1006, 584, 1144, 516, 1669, 1767, 1206, 1720, 809, 1821, 1457, 1537, 1399, 1742, 1030, 1308, 1475, 1001, 1056, 1211, 809, 1423, 967, 191, 1416, 674, 825, 1481, 497, 1350, 1199, 138, 1337, 1294, 628, 750, 893, 845, 1411, 1611, 782, 1749, 1227, 19, 880, 1025, 1110, 1189, 996, 1051, 123, 1735, 1503, 1808, 1810, 1185, 1411, 1172, 1333, 1074, 1192, 1519, 1313, 1742, 1337, 937, 1027, 386, 1330, 581, 291, 1817, 991, 1368, 767, 492, 1038, 13, 1445, 171, 660, 1768, 307, 550, 676, 708, 1261, 732, 467, 1238, 984, 408, 990, 1295, 1415, 336, 1218, 793, 1487, 1624, 733, 1310, 1484, 1318, 1332, 658, 732, 521, 1220, 1483, 346, 1443, 1257, 547, 1417, 363, 1135, 717, 48, 1481, 932, 548, 1195, 229, 869, 1268, 1003, 1403, 1725, 1393, 1476, 1010, 1436, 1632, 1305, 1342, 799, 1632, 1481, 396, 866, 1128, 1079, 387, 387, 1010, 1570, 1273, 1669, 704, 805, 1362, 509, 1007, 1390, 1260, 1462, 1361, 1062, 1056, 1746, 1277, 467, 1043, 1304, 205, 1051, 1103, 205, 1455, 905, 184, 1741, 1744, 749, 687, 1146, 52, 1476, 1342, 556, 1556, 1027, 1250, 786, 1679, 1165, 1200, 908, 51, 1481, 1179, 192, 1815, 1499, 205, 1064, 1150, 587, 1440, 1408, 1391, 655, 1137, 1367, 908, 387, 1169, 9, 1167, 1429, 1115, 65, 1698, 490, 441, 362, 804, 1378, 1630, 1301, 1230, 1811, 1321, 1631, 1736, 1363, 1069, 1612, 1290, 493, 98, 1543, 1642, 830, 1826, 1784, 676, 1404, 1046, 987, 995, 961, 439, 1440, 1752, 1004, 557, 1658, 1290, 1141, 47, 856, 1649, 713, 1537, 1700, 1715, 1315, 1637, 1285, 1474, 1711, 516, 233, 239, 888, 6, 1479, 636, 1739, 869, 1069, 454, 603, 1732, 1657, 603, 1701, 1421, 1423, 1824, 903, 1359, 810, 1732, 1413, 1684, 1342, 1121, 1275, 1116, 708, 1826, 1459, 1326, 1126, 861, 973, 1397, 744, 1350, 1615, 1769, 230, 1217, 1021, 213, 636, 26, 519, 1667, 1354, 1617, 1543, 1568, 1213, 1220, 1103, 756, 1255, 1047, 1432, 1326, 1059, 1369, 1253, 1425, 1141, 1754, 875, 983, 676, 1115, 1206, 555, 1087, 1758, 145, 951, 1833, 965, 1226, 1443, 65, 1108, 1304, 461, 1475, 953, 642, 1738, 1392, 1731, 1588, 742, 1478, 1500, 1560, 1650, 1823, 1440, 981, 1817, 971, 1370, 1495, 1118, 858, 1601, 1638, 1476, 981, 1088, 1694, 1683, 1343, 693, 762, 578, 594, 207, 799, 42, 1429, 492, 1430, 783, 1163, 1644, 1674, 1100, 842, 210, 1612, 335, 252, 1760, 1217, 429, 1319, 1761, 478, 712, 1517, 629, 683, 429, 1488, 1116, 1223, 63, 216, 1362, 1325, 159, 1472, 1253, 660, 1670, 321, 545, 1229, 1187, 125, 1408, 1341, 1677, 1588, 1690, 844, 995, 1235, 333, 1730, 848, 1777, 1189, 1141, 635, 1566, 1100, 217, 891, 657, 1694, 718, 1607, 1323, 856, 337, 1396, 1466, 1207, 789, 1532, 660, 1483, 1119, 87, 1297, 1424, 76, 1420, 1249, 1816, 1404, 1311, 586, 42, 1426, 927, 187, 165, 244, 219, 128011, 128001 ]

[ 128000, 128002, 2675, 649, 1518, 279, 1203, 436, 57229, 1618, 439, 1664, 902, 374, 2500, 12466, 6710, 13, 128003, 128005, 704, 704, 548, 672, 690, 1080, 1651, 744, 973, 1242, 1625, 1664, 1387, 1354, 38, 1741, 980, 1761, 1489, 587, 1562, 1272, 1644, 1659, 1192, 459, 552, 759, 830, 1584, 1781, 1469, 1051, 1233, 1406, 686, 1675, 991, 687, 82, 1542, 441, 306, 254, 571, 829, 371, 1119, 402, 1422, 610, 1029, 1353, 1723, 1429, 1396, 19, 1700, 1199, 1199, 1195, 120, 1695, 988, 1755, 588, 22, 718, 665, 1210, 521, 1453, 152, 899, 1155, 1718, 813, 1410, 1460, 1015, 830, 951, 1250, 840, 1074, 952, 1655, 1436, 1605, 640, 1568, 1432, 635, 677, 1416, 638, 328, 709, 1036, 1445, 1179, 794, 1526, 1429, 409, 798, 830, 940, 1691, 1709, 399, 1470, 1734, 1459, 41, 1748, 1388, 1722, 354, 923, 1136, 1307, 931, 1140, 1345, 260, 1471, 996, 291, 1828, 1682, 105, 988, 1430, 456, 1406, 719, 742, 1741, 1661, 1649, 863, 1476, 1642, 1399, 41, 1660, 1710, 1518, 4, 1296, 1726, 1751, 966, 1542, 859, 903, 1734, 1506, 1127, 1123, 466, 1814, 1435, 13, 1765, 1060, 412, 1248, 1115, 422, 1705, 804, 1690, 1564, 526, 1333, 1213, 1016, 1393, 971, 1421, 294, 1795, 797, 1232, 1087, 128, 1611, 1200, 179, 1743, 1764, 1280, 546, 15, 1088, 1441, 1535, 1364, 176, 1484, 1410, 1655, 1607, 101, 1608, 1037, 1693, 1419, 751, 281, 86, 1738, 821, 1541, 608, 1774, 1345, 92, 503, 1642, 1573, 1443, 124, 1715, 863, 1138, 1330, 233, 1678, 788, 129, 1342, 1283, 6, 1422, 166, 1270, 1225, 398, 1632, 701, 634, 1573, 554, 1375, 334, 165, 219, 244, 128011, 128001 ]

[ 128000, 128002, 22105, 420, 374, 279, 9986, 13, 1115, 374, 279, 9986, 11, 1314, 30, 358, 1541, 956, 1440, 13, 358, 1205, 311, 4048, 922, 59432, 13, 16183, 88323, 45498, 1578, 13, 1628, 439, 449, 682, 279, 25761, 13, 128003, 128005, 561, 449, 1133, 1688, 1424, 631, 1470, 994, 190, 576, 1049, 1436, 1527, 1759, 940, 503, 1683, 49, 1624, 312, 1306, 927, 615, 1718, 473, 1469, 1057, 1700, 1210, 884, 352, 1806, 409, 112, 1827, 1018, 1482, 230, 46, 714, 18, 298, 1278, 1283, 1748, 1496, 652, 1621, 1290, 1602, 1483, 1786, 1625, 1754, 1653, 1227, 1253, 1185, 1027, 959, 1580, 1460, 333, 1387, 473, 1549, 34, 1825, 1824, 1713, 1389, 1022, 1514, 1607, 1653, 1562, 923, 1176, 1603, 117, 50, 1500, 1215, 1035, 1051, 1325, 1393, 95, 1680, 884, 937, 1631, 1626, 1119, 1568, 1156, 1438, 1468, 1433, 1477, 1595, 1274, 717, 1065, 698, 766, 363, 59, 1145, 1662, 1328, 1814, 1100, 753, 473, 1753, 233, 714, 1027, 230, 117, 26, 1649, 1286, 1384, 1240, 1554, 1831, 906, 1441, 1786, 1800, 1706, 1462, 1460, 682, 1267, 1565, 1773, 1469, 1601, 1518, 1247, 50, 1600, 1621, 1823, 1204, 510, 443, 1795, 1027, 1192, 1075, 1734, 9, 1448, 1155, 1102, 1694, 1189, 1192, 1635, 1593, 1017, 1621, 721, 1298, 1124, 1088, 359, 328, 1330, 1009, 376, 1793, 648, 1185, 860, 1587, 1381, 42, 1655, 655, 1385, 971, 1378, 1601, 1023, 1108, 325, 1471, 1391, 1828, 1295, 1793, 639, 1263, 1220, 679, 1001, 1489, 1402, 1089, 1756, 41, 1739, 1811, 1455, 1759, 1584, 1803, 1800, 1656, 1761, 1726, 1042, 1738, 1757, 1477, 1822, 1706, 1210, 1525, 1396, 1517, 1461, 1499, 1704, 1413, 1317, 1749, 1697, 1438, 1791, 1210, 1320, 1690, 937, 1766, 1057, 239, 29, 1267, 1334, 1351, 616, 784, 983, 1612, 1337, 810, 1350, 1514, 1274, 1803, 1747, 1611, 6, 28, 1519, 1588, 887, 1822, 1281, 1416, 1538, 1014, 1809, 1109, 1213, 809, 1677, 663, 1191, 930, 626, 1314, 1598, 1124, 1642, 1604, 1199, 1556, 946, 751, 1689, 150, 1601, 1304, 9, 1814, 1013, 1504, 1675, 1213, 1471, 1519, 98, 1751, 1825, 1068, 1067, 1264, 1083, 1811, 1812, 1107, 1739, 1762, 1052, 1067, 1055, 1683, 1299, 1396, 1259, 1643, 1193, 1434, 1107, 1196, 719, 1463, 1731, 1611, 1378, 1155, 1749, 160, 717, 1010, 627, 0, 1735, 1443, 865, 1006, 1051, 1747, 1158, 1735, 1019, 1751, 654, 1715, 1376, 1665, 1718, 1270, 1037, 1643, 666, 805, 1233, 387, 981, 387, 1601, 1721, 1570, 121, 274, 766, 751, 1362, 692, 1003, 1570, 939, 1279, 1538, 693, 976, 710, 1199, 1250, 1231, 1211, 426, 845, 869, 1536, 1137, 938, 1319, 1199, 1383, 406, 869, 694, 971, 1390, 1536, 1118, 1176, 1461, 1114, 933, 513, 686, 325, 1144, 325, 567, 1144, 823, 1730, 1104, 1570, 964, 1815, 1193, 1318, 1224, 639, 965, 1814, 1071, 695, 1752, 798, 1130, 917, 193, 957, 1736, 872, 1742, 1216, 291, 1565, 847, 9, 931, 1438, 1019, 1683, 1778, 1453, 1067, 1735, 1306, 1364, 1277, 550, 1348, 1083, 724, 761, 752, 1665, 64, 1071, 1306, 1224, 1330, 1703, 1386, 1776, 1363, 1833, 927, 1513, 1459, 1012, 938, 924, 1205, 626, 941, 1250, 580, 1747, 1001, 737, 900, 73, 1629, 655, 191, 1782, 1804, 1658, 1789, 1356, 1129, 1792, 1068, 1573, 810, 1373, 1071, 272, 712, 1181, 566, 1118, 663, 1322, 709, 442, 1721, 1593, 454, 26, 1781, 1701, 4, 525, 1679, 10, 467, 508, 1086, 279, 39, 1399, 253, 73, 979, 882, 1263, 384, 1814, 858, 411, 1057, 1460, 48, 1646, 863, 1084, 57, 875, 1682, 132, 1775, 1830, 1382, 1564, 1532, 1797, 845, 1024, 1112, 630, 1205, 353, 584, 1289, 378, 1512, 666, 957, 1538, 1246, 1474, 704, 1142, 928, 465, 1233, 1536, 692, 1338, 975, 1262, 274, 274, 1793, 686, 1142, 950, 1474, 824, 957, 377, 957, 1536, 1007, 1719, 686, 891, 325, 785, 1293, 1523, 585, 1284, 544, 933, 325, 544, 1007, 862, 766, 1652, 1474, 795, 1628, 696, 1262, 544, 957, 1694, 1474, 824, 862, 1244, 824, 274, 274, 957, 1016, 899, 933, 766, 1007, 1601, 704, 387, 928, 691, 939, 1151, 1157, 686, 704, 712, 1721, 766, 1010, 758, 387, 1721, 686, 899, 1293, 704, 967, 1284, 1273, 1144, 896, 555, 1211, 1538, 971, 1343, 975, 1038, 781, 121, 1121, 1359, 651, 1099, 1327, 1003, 1164, 1114, 1121, 1215, 627, 1306, 1302, 1038, 1430, 762, 1181, 666, 460, 950, 1570, 627, 1011, 710, 1096, 1583, 1298, 1504, 736, 951, 502, 989, 628, 753, 639, 943, 806, 1004, 1018, 892, 1280, 1411, 886, 102, 1715, 980, 700, 748, 1145, 1533, 1537, 1436, 1415, 1671, 1728, 752, 964, 1408, 523, 1654, 1821, 1220, 639, 1190, 1431, 1325, 1132, 599, 1200, 521, 687, 1107, 179, 755, 797, 157, 1200, 868, 570, 985, 839, 102, 234, 1278, 308, 965, 1482, 687, 319, 493, 1161, 1728, 1470, 1755, 1591, 1493, 770, 1786, 1162, 9, 428, 1776, 293, 310, 1769, 1800, 1755, 1457, 1791, 1486, 1826, 1525, 1118, 1118, 548, 567, 1185, 1697, 1083, 1111, 1330, 816, 525, 1445, 408, 475, 205, 462, 576, 721, 293, 1193, 138, 965, 2, 635, 128, 374, 157, 489, 249, 1647, 1598, 1804, 1087, 1047, 153, 1466, 1341, 1373, 1388, 1632, 1526, 1646, 333, 1797, 175, 1728, 1149, 1487, 1307, 1015, 297, 716, 1412, 789, 1825, 372, 191, 884, 774, 1815, 154, 798, 619, 983, 1807, 154, 55, 1654, 1535, 48, 1534, 1754, 1541, 1022, 1599, 1584, 1791, 1757, 1710, 448, 493, 230, 448, 1422, 4, 1532, 1432, 546, 1225, 1354, 652, 1637, 710, 165, 219, 244, 244, 167, 128011, 128001 ]

[ 128000, 128002, 7009, 617, 420, 14512, 1618, 389, 279, 5740, 430, 6276, 1124, 311, 4667, 279, 1514, 7437, 779, 814, 649, 3169, 315, 35840, 311, 11722, 2212, 279, 1514, 7437, 13, 3011, 596, 5128, 7155, 13, 36530, 279, 9515, 2949, 279, 25761, 15861, 430, 2751, 6004, 656, 539, 617, 430, 11, 719, 128003, 128005, 344, 891, 459, 1003, 259, 691, 936, 334, 1589, 1202, 1519, 756, 374, 1633, 773, 1126, 1460, 1344, 1323, 886, 306, 697, 128, 880, 157, 958, 1068, 1286, 1341, 1336, 1739, 1456, 1355, 1758, 1258, 479, 1335, 63, 783, 1617, 430, 848, 122, 687, 1519, 407, 1714, 719, 22, 1067, 1470, 1665, 1752, 1756, 797, 491, 1564, 1421, 1107, 289, 536, 268, 1554, 1119, 1787, 1224, 557, 129, 1051, 1358, 577, 615, 1470, 1482, 1433, 383, 1630, 1271, 47, 1424, 944, 1089, 1077, 759, 47, 949, 1434, 1429, 1731, 725, 1482, 126, 1827, 1170, 1005, 312, 1496, 1339, 272, 1028, 1193, 997, 977, 1261, 589, 205, 1424, 422, 1046, 841, 492, 1500, 755, 657, 1739, 931, 1047, 1240, 48, 1814, 1088, 1392, 1429, 1500, 319, 312, 1669, 1241, 1030, 1422, 461, 1324, 973, 1256, 955, 104, 1328, 1308, 665, 1825, 1435, 1303, 893, 1123, 1064, 879, 1305, 1118, 229, 1268, 405, 680, 1227, 259, 301, 563, 513, 1819, 1307, 910, 659, 456, 572, 1113, 545, 1212, 82, 940, 1183, 359, 1790, 573, 876, 1382, 770, 0, 518, 1644, 587, 1615, 298, 384, 1524, 1300, 1087, 1292, 110, 1689, 1161, 1655, 864, 793, 1155, 1719, 1485, 317, 1418, 1605, 936, 1796, 1642, 788, 190, 782, 178, 631, 1397, 1041, 626, 1290, 1606, 1659, 895, 1806, 1125, 512, 1123, 495, 1297, 1501, 1214, 1056, 935, 1061, 600, 1099, 573, 977, 375, 777, 522, 1813, 1401, 1481, 1285, 531, 1120, 1824, 767, 759, 1220, 868, 1396, 1744, 1595, 893, 918, 936, 1211, 631, 1649, 888, 495, 1106, 1466, 82, 1613, 349, 1435, 137, 1353, 166, 425, 1028, 648, 1416, 129, 129, 788, 122, 368, 454, 1135, 977, 234, 806, 587, 104, 1183, 560, 940, 1008, 1556, 1772, 1774, 648, 848, 782, 315, 1225, 1355, 1641, 1322, 1432, 1741, 1211, 1034, 1809, 1230, 117, 772, 1034, 1583, 924, 493, 1525, 902, 1422, 772, 1230, 1760, 516, 785, 674, 676, 1685, 896, 50, 736, 968, 1238, 1429, 657, 1528, 466, 954, 1345, 1750, 1025, 1230, 1203, 1032, 155, 781, 1406, 1699, 1750, 563, 1701, 1131, 1535, 801, 1228, 1150, 938, 935, 1678, 1608, 1829, 822, 1204, 1187, 948, 173, 1744, 524, 1033, 1237, 1240, 71, 1075, 1144, 303, 1823, 1001, 1718, 813, 1324, 1106, 113, 1403, 1467, 1103, 1481, 1049, 586, 1121, 1112, 1211, 1658, 971, 1495, 1408, 1003, 1033, 229, 247, 1380, 971, 1826, 859, 42, 1104, 1486, 1181, 966, 647, 123, 286, 1581, 1792, 1447, 1778, 213, 46, 1671, 579, 477, 577, 104, 1030, 388, 1620, 335, 1431, 843, 1394, 1300, 1129, 1278, 847, 126, 1027, 714, 1661, 714, 1808, 1395, 230, 1528, 1744, 887, 721, 1437, 1184, 236, 260, 1711, 173, 1224, 393, 699, 430, 524, 1484, 162, 1042, 892, 1217, 1127, 818, 1241, 1257, 1438, 1350, 646, 1147, 926, 1277, 208, 1735, 642, 579, 1630, 412, 1716, 955, 1247, 1048, 794, 1406, 86, 512, 127, 150, 1022, 1412, 1281, 700, 744, 646, 1106, 693, 1421, 549, 1624, 1685, 1817, 1063, 1830, 589, 1620, 315, 1075, 1103, 104, 502, 1133, 277, 1637, 1584, 1470, 362, 1513, 122, 1166, 1061, 231, 1361, 777, 1177, 1222, 137, 678, 1484, 1320, 1280, 1742, 1810, 1668, 1411, 714, 989, 46, 0, 701, 175, 1356, 1222, 1259, 1194, 79, 113, 1008, 947, 446, 184, 1660, 890, 882, 46, 870, 1278, 1677, 1668, 1741, 1717, 1099, 1175, 1414, 1193, 637, 214, 1021, 1312, 1528, 1431, 687, 1386, 110, 1228, 1048, 1830, 1239, 845, 1434, 1678, 1205, 1711, 1735, 897, 1669, 456, 1548, 959, 834, 229, 158, 1576, 941, 214, 1023, 657, 1497, 905, 134, 1033, 655, 905, 1043, 188, 1556, 1793, 1096, 1329, 1805, 1306, 1450, 1704, 1329, 1646, 1205, 943, 1821, 1099, 1476, 891, 1292, 1418, 548, 661, 963, 275, 918, 174, 460, 1297, 1361, 1202, 1429, 115, 1087, 1160, 25, 260, 1053, 777, 1678, 834, 1408, 599, 575, 1746, 713, 520, 1409, 399, 197, 333, 52, 782, 213, 407, 493, 198, 333, 519, 934, 1432, 725, 269, 1283, 1326, 556, 203, 1436, 1560, 1674, 1691, 1722, 1119, 1230, 997, 315, 1491, 1640, 117, 1236, 1106, 772, 188, 964, 1298, 1410, 790, 1753, 901, 1342, 1320, 18, 1611, 1087, 422, 991, 51, 940, 660, 475, 113, 52, 699, 390, 367, 809, 841, 1161, 1204, 138, 222, 42, 870, 116, 1683, 648, 536, 1379, 57, 1469, 844, 877, 634, 768, 546, 46, 844, 1375, 1296, 1668, 1370, 1710, 1305, 636, 1826, 1128, 895, 1504, 649, 1475, 548, 691, 1260, 334, 1244, 486, 785, 1142, 149, 876, 752, 865, 112, 1800, 440, 615, 1687, 1744, 1816, 1082, 1500, 1668, 26, 1821, 495, 1711, 1202, 1228, 1719, 1438, 399, 1758, 1422, 780, 1196, 202, 1656, 315, 1295, 213, 191, 870, 1069, 69, 830, 658, 1473, 1534, 50, 1323, 1312, 637, 1298, 1511, 1004, 748, 1797, 1819, 1025, 639, 1646, 1434, 22, 1738, 1215, 1611, 1318, 95, 576, 1825, 1088, 297, 1831, 372, 48, 778, 628, 1035, 587, 1614, 973, 677, 616, 1528, 1670, 1673, 69, 1470, 448, 822, 1638, 1526, 26, 1323, 1166, 1727, 461, 1465, 806, 1215, 961, 1261, 830, 1350, 1518, 1740, 1665, 1431, 188, 664, 1653, 1008, 1109, 1300, 1650, 18, 384, 640, 6, 1364, 938, 1005, 991, 639, 128, 1369, 512, 1778, 923, 1476, 1045, 1116, 53, 1511, 1197, 270, 324, 1201, 1001, 380, 1156, 651, 809, 1280, 651, 80, 113, 1792, 978, 205, 1154, 1427, 682, 1390, 1281, 756, 17, 940, 1217, 712, 864, 1528, 1598, 183, 510, 362, 448, 1476, 1451, 1549, 1458, 1617, 1609, 724, 1546, 1737, 541, 886, 1305, 93, 561, 783, 837, 361, 1532, 1257, 1651, 841, 1167, 1410, 408, 1484, 826, 95, 595, 1473, 1804, 498, 1706, 1831, 1226, 1328, 498, 723, 277, 1424, 309, 1162, 107, 1309, 569, 1125, 1193, 917, 1426, 830, 1277, 1790, 1268, 887, 1211, 215, 1526, 665, 955, 371, 977, 128, 1208, 1372, 300, 1493, 1794, 1511, 490, 1195, 1121, 1051, 1532, 1668, 1303, 28, 1079, 1036, 1637, 1489, 231, 1822, 1393, 788, 1421, 1349, 1681, 1421, 1120, 735, 516, 669, 1163, 1114, 301, 77, 1145, 1424, 1795, 53, 1697, 759, 1066, 483, 113, 1263, 665, 493, 937, 1422, 1109, 42, 1177, 684, 1118, 1486, 188, 929, 1328, 1704, 244, 165, 453, 219, 128011, 128001 ]

[ 128000, 128002, 53040, 1790, 682, 279, 25761, 656, 11, 1093, 1524, 279, 9333, 59432, 656, 11, 1093, 1070, 596, 53934, 42221, 13, 128003, 128005, 566, 534, 301, 785, 1675, 886, 639, 1758, 1034, 1823, 1117, 1364, 1404, 1647, 992, 79, 894, 87, 1545, 87, 1610, 657, 687, 748, 592, 1384, 1502, 49, 1427, 191, 46, 889, 987, 870, 1221, 98, 1337, 1295, 1078, 321, 1252, 1088, 1135, 367, 184, 1074, 1308, 815, 239, 882, 870, 714, 1758, 1726, 1726, 1378, 1462, 977, 1596, 880, 836, 609, 424, 1488, 1173, 660, 1340, 260, 1768, 339, 738, 1596, 909, 1725, 1803, 361, 1806, 83, 1667, 1409, 734, 42, 832, 1556, 848, 1718, 1535, 1691, 1475, 1192, 1391, 105, 1802, 847, 1437, 656, 1463, 1345, 1459, 1372, 1, 1526, 1382, 1590, 1015, 54, 1368, 1600, 1618, 1387, 46, 1568, 6, 1400, 1258, 1451, 679, 47, 899, 303, 1633, 1222, 113, 1621, 1001, 388, 27, 789, 866, 792, 1756, 943, 1418, 1607, 1315, 533, 519, 98, 1568, 454, 644, 1510, 1604, 1025, 1436, 394, 743, 806, 1697, 430, 716, 362, 1249, 1088, 1048, 863, 807, 1370, 1249, 1350, 925, 1708, 911, 1697, 1364, 1581, 1240, 1242, 969, 867, 1280, 1518, 1346, 29, 694, 966, 1290, 1252, 1366, 950, 134, 691, 1133, 1070, 869, 163, 950, 1096, 163, 685, 1158, 672, 1436, 516, 1214, 1770, 717, 1024, 1123, 1128, 1322, 651, 1348, 572, 762, 1688, 1639, 541, 714, 701, 46, 362, 884, 67, 1476, 556, 782, 1565, 1649, 1382, 376, 615, 1717, 1429, 408, 557, 1816, 699, 1152, 386, 611, 1460, 1140, 1677, 294, 1558, 497, 1542, 19, 622, 1410, 647, 1426, 1367, 983, 1426, 1475, 57, 1309, 1192, 9, 1046, 74, 1232, 149, 36, 700, 563, 913, 755, 60, 338, 1040, 1324, 1099, 1208, 937, 1104, 173, 1227, 1107, 155, 571, 1038, 1047, 1790, 355, 586, 1391, 1185, 231, 1187, 1360, 628, 749, 381, 628, 820, 1295, 1337, 1464, 1709, 1217, 1778, 1387, 1002, 1756, 1527, 1421, 426, 507, 1681, 1439, 1292, 972, 344, 1590, 388, 692, 1308, 529, 594, 856, 1763, 1103, 63, 1003, 907, 756, 1165, 1155, 380, 1714, 970, 324, 1638, 91, 1229, 1693, 562, 1227, 717, 1144, 1270, 1328, 42, 521, 22, 921, 364, 1713, 449, 57, 1786, 1725, 362, 320, 1653, 634, 1351, 1812, 1450, 1829, 1715, 1646, 1199, 660, 1337, 977, 1326, 1203, 466, 1125, 1046, 65, 1197, 735, 422, 1556, 1445, 519, 286, 1364, 276, 1395, 1175, 1403, 1359, 1678, 1654, 1500, 1800, 1232, 1497, 1658, 983, 1583, 1209, 1331, 1761, 1252, 1164, 1435, 1477, 758, 1736, 176, 648, 1549, 10, 639, 634, 493, 1818, 344, 1687, 1717, 1592, 1719, 1722, 1621, 795, 165, 156, 453, 244, 128011, 128001 ]

[ 128000, 128002, 24220, 11, 568, 596, 2751, 264, 22733, 323, 568, 596, 2751, 1093, 264, 44229, 295, 3245, 709, 1618, 13, 358, 1541, 956, 1440, 1148, 596, 2133, 389, 1314, 1070, 13, 3011, 596, 2555, 358, 3077, 2646, 2216, 3970, 1603, 11, 719, 430, 596, 264, 22733, 13, 4427, 13678, 301, 65172, 1903, 304, 5734, 13, 27687, 13, 128003, 128005, 584, 259, 869, 873, 1272, 1653, 1651, 1363, 125, 1357, 137, 943, 372, 138, 818, 1426, 371, 1468, 1431, 1029, 48, 1436, 1351, 1723, 1355, 1076, 717, 1064, 531, 981, 1079, 1289, 1465, 585, 1065, 712, 301, 1114, 465, 1007, 1719, 1273, 751, 1244, 676, 923, 561, 939, 1669, 1693, 651, 584, 724, 1780, 1742, 980, 1415, 1243, 636, 448, 920, 713, 6, 1312, 1818, 1160, 718, 682, 1147, 1216, 604, 93, 217, 1399, 1264, 604, 695, 1445, 1364, 753, 175, 137, 870, 50, 407, 1027, 69, 1287, 400, 780, 1809, 493, 1688, 1120, 1342, 1760, 806, 843, 1164, 1624, 217, 482, 1225, 1528, 756, 488, 1138, 821, 1521, 488, 647, 1035, 1821, 123, 48, 1219, 1214, 1463, 310, 1458, 1827, 835, 751, 732, 437, 866, 1063, 169, 1185, 229, 824, 1293, 971, 1338, 762, 1185, 950, 933, 967, 435, 548, 1079, 1059, 1044, 1290, 1237, 1719, 639, 803, 1536, 1755, 716, 888, 1588, 607, 1327, 1518, 1341, 654, 15, 1709, 6, 1468, 1565, 867, 1079, 1162, 989, 664, 214, 736, 956, 991, 901, 306, 1047, 157, 977, 1040, 446, 983, 870, 1124, 1483, 1726, 1274, 1043, 1541, 717, 1668, 873, 1407, 580, 1039, 386, 1525, 665, 1453, 780, 877, 1519, 1775, 338, 1496, 1130, 1199, 648, 1052, 1296, 1408, 969, 750, 1272, 1470, 1023, 868, 1565, 1506, 1308, 139, 1093, 1199, 89, 828, 674, 1310, 706, 701, 614, 1268, 927, 629, 1536, 1712, 776, 1034, 105, 1289, 849, 614, 1706, 1524, 530, 563, 1033, 984, 1565, 416, 1517, 1161, 910, 1035, 1382, 917, 821, 1772, 617, 1050, 887, 1227, 715, 617, 1687, 1530, 1764, 1411, 1831, 1306, 1290, 916, 1397, 1104, 965, 1004, 909, 1134, 973, 1656, 1253, 1304, 1226, 302, 1716, 1651, 302, 913, 1556, 1519, 312, 1464, 1450, 1350, 1081, 1701, 626, 1642, 1263, 1401, 776, 158, 1003, 322, 856, 31, 1406, 1493, 566, 853, 1487, 1017, 529, 1124, 286, 1234, 1345, 716, 1685, 1661, 1777, 129, 320, 1411, 202, 1799, 1164, 28, 1481, 1111, 1458, 955, 1312, 175, 926, 1313, 910, 1648, 1308, 779, 719, 909, 1795, 798, 1682, 1647, 1150, 1036, 1042, 1275, 1040, 225, 1665, 269, 869, 934, 862, 910, 1741, 941, 1031, 326, 1322, 678, 1511, 1816, 1069, 933, 60, 1739, 1734, 1385, 996, 1210, 863, 757, 333, 1253, 1311, 637, 1739, 1526, 79, 624, 1136, 1486, 1041, 359, 1175, 221, 1632, 825, 1057, 1545, 1762, 1468, 895, 1342, 132, 1476, 399, 1027, 1631, 333, 1510, 1205, 1627, 1648, 1164, 1600, 1033, 1082, 1809, 1495, 1287, 799, 1036, 1781, 869, 1002, 1007, 1448, 1524, 727, 1495, 933, 693, 418, 516, 247, 1691, 896, 554, 1616, 1669, 1830, 9, 1397, 779, 1405, 662, 1405, 1446, 1787, 1664, 1454, 1051, 1086, 661, 757, 1002, 1106, 1312, 1240, 417, 671, 1511, 458, 983, 1118, 1212, 590, 793, 798, 1752, 444, 1489, 751, 779, 445, 302, 168, 757, 707, 988, 1726, 132, 908, 1013, 202, 1426, 355, 864, 1085, 1339, 26, 510, 1349, 129, 1403, 546, 409, 1568, 10, 546, 1391, 1027, 374, 1740, 884, 1340, 1081, 821, 1596, 1048, 527, 703, 823, 1019, 1589, 897, 1651, 653, 1726, 1765, 1554, 1583, 1724, 1611, 1283, 1632, 1666, 1704, 818, 1267, 638, 105, 676, 965, 924, 718, 1186, 60, 783, 1784, 35, 526, 1276, 1112, 1738, 977, 110, 1763, 307, 169, 964, 732, 1397, 1191, 1426, 1173, 1042, 790, 1132, 1047, 1031, 1686, 1026, 1770, 1756, 1313, 298, 1447, 1799, 1147, 1013, 1552, 502, 333, 202, 22, 26, 409, 1687, 10, 1436, 1495, 62, 1543, 895, 1748, 1589, 1306, 1326, 970, 1457, 481, 816, 325, 9, 1535, 1445, 55, 754, 790, 652, 1102, 1733, 733, 798, 649, 1093, 1770, 807, 431, 728, 338, 869, 250, 799, 1319, 905, 1480, 659, 727, 686, 534, 627, 1538, 169, 1037, 561, 229, 1430, 627, 1144, 1528, 523, 924, 1255, 1137, 719, 1623, 1668, 636, 923, 885, 707, 259, 793, 1106, 378, 1120, 259, 1343, 1570, 693, 669, 680, 1121, 786, 727, 986, 986, 717, 257, 567, 423, 1617, 888, 432, 749, 1637, 554, 1667, 1227, 1404, 41, 1732, 625, 969, 1707, 32, 969, 1721, 1311, 868, 1418, 1406, 1747, 1626, 1565, 202, 1337, 1476, 1287, 1418, 1393, 1309, 610, 1276, 610, 1800, 1127, 1357, 1127, 1471, 203, 1456, 41, 876, 1128, 653, 1404, 987, 1558, 684, 1459, 660, 1799, 521, 1112, 370, 1052, 1110, 1572, 467, 160, 1456, 1414, 272, 1036, 767, 1307, 1807, 1088, 520, 1510, 1422, 1336, 26, 807, 896, 876, 1771, 176, 945, 415, 428, 1691, 415, 1798, 1669, 1758, 1688, 1396, 1544, 686, 797, 1228, 1402, 508, 544, 1237, 319, 458, 983, 22, 486, 303, 1797, 832, 1670, 1596, 612, 987, 1701, 1768, 1715, 1061, 1799, 1450, 962, 1391, 62, 1450, 1583, 253, 1739, 1200, 364, 907, 1078, 1160, 291, 1300, 806, 1427, 70, 1324, 1620, 1743, 803, 1831, 183, 1324, 871, 1415, 848, 1076, 874, 1219, 1810, 1827, 91, 242, 1193, 396, 1211, 594, 651, 1705, 469, 1658, 591, 266, 758, 986, 923, 85, 301, 627, 16, 1071, 766, 257, 681, 975, 680, 624, 257, 513, 862, 377, 378, 975, 680, 923, 1242, 334, 513, 1011, 630, 1144, 505, 378, 1595, 287, 513, 1242, 378, 1233, 641, 717, 1474, 712, 516, 1362, 601, 805, 1474, 378, 1614, 1338, 651, 1609, 680, 751, 1538, 378, 1419, 1536, 717, 1474, 762, 516, 686, 680, 923, 505, 651, 710, 692, 651, 505, 799, 735, 704, 712, 1383, 404, 1667, 350, 1250, 634, 507, 1642, 1283, 713, 1600, 507, 1600, 546, 154, 895, 507, 344, 1600, 103, 1681, 546, 1222, 1735, 972, 1676, 1799, 775, 1684, 1780, 1662, 1346, 41, 1473, 566, 721, 1796, 1048, 1470, 1740, 388, 1512, 13, 786, 836, 554, 1427, 26, 1488, 510, 1689, 479, 625, 587, 1512, 110, 786, 695, 1085, 269, 1644, 1655, 1294, 34, 1667, 183, 129, 1422, 18, 1403, 1432, 863, 1434, 1436, 231, 1476, 546, 337, 165, 219, 244, 128011, 128001 ]

[ 128000, 128002, 56372, 11, 358, 65302, 709, 279, 2047, 7218, 2736, 13, 358, 1071, 358, 5828, 956, 2133, 311, 13, 2684, 584, 733, 13, 24118, 78, 13, 128003, 128005, 496, 450, 916, 1658, 274, 1252, 1558, 1336, 803, 1248, 377, 1006, 1643, 121, 1642, 541, 1730, 38, 788, 1292, 1173, 1124, 1638, 1030, 1475, 1125, 1492, 1267, 28, 807, 1343, 966, 160, 701, 617, 1176, 755, 1304, 1098, 997, 1651, 1427, 1370, 1069, 1734, 320, 362, 230, 298, 117, 415, 1035, 1307, 1735, 552, 1731, 1221, 1645, 1829, 1619, 1553, 1822, 85, 1632, 1583, 1307, 1013, 678, 696, 1381, 1010, 776, 89, 772, 1052, 680, 976, 908, 1065, 1226, 709, 1732, 171, 60, 563, 953, 643, 1322, 1193, 1830, 797, 1392, 1611, 1260, 1490, 1645, 1189, 301, 937, 1437, 1003, 705, 1739, 523, 1102, 1382, 752, 1106, 1494, 1102, 1121, 908, 1022, 1505, 405, 1210, 966, 1121, 1150, 1078, 918, 829, 1324, 144, 798, 1553, 89, 708, 1809, 1378, 868, 1751, 1304, 664, 1570, 1501, 1519, 1689, 1280, 820, 1417, 1057, 1323, 1290, 1506, 1802, 707, 893, 459, 923, 174, 1128, 396, 1007, 257, 1071, 659, 696, 1092, 387, 584, 1144, 1478, 970, 651, 534, 1052, 1164, 1526, 1414, 1354, 1610, 1527, 26, 1451, 154, 1363, 333, 6, 333, 398, 1546, 1260, 977, 1795, 1190, 1278, 92, 269, 1445, 913, 1671, 1395, 1208, 153, 158, 1267, 1367, 826, 1732, 629, 145, 578, 1435, 214, 987, 1322, 1739, 1482, 1560, 1546, 1027, 1732, 127, 98, 959, 1021, 1137, 1213, 1518, 1540, 748, 1738, 1067, 1271, 108, 644, 835, 1043, 405, 1517, 1445, 623, 1311, 1168, 681, 1485, 310, 953, 707, 1704, 615, 1548, 399, 1678, 448, 230, 838, 1432, 1532, 783, 1007, 1283, 653, 1215, 615, 957, 1769, 850, 1011, 396, 174, 766, 1092, 845, 758, 601, 566, 928, 1622, 1667, 86, 1414, 1661, 729, 1264, 59, 1000, 672, 912, 1505, 692, 992, 640, 1548, 449, 1799, 437, 1438, 242, 894, 1079, 1716, 1219, 1333, 1635, 1219, 1079, 564, 131, 1043, 832, 712, 1294, 1352, 257, 712, 751, 704, 971, 1293, 676, 971, 933, 676, 651, 1242, 1142, 1796, 1514, 717, 1614, 933, 751, 1569, 651, 274, 785, 378, 325, 744, 627, 16, 1016, 895, 1552, 1268, 1064, 1614, 1123, 1120, 1425, 869, 1589, 832, 1168, 1789, 832, 1665, 761, 1181, 928, 735, 1360, 1771, 1311, 1348, 1480, 1684, 465, 1010, 1465, 1151, 923, 686, 824, 971, 1458, 1381, 1123, 1432, 761, 1099, 730, 1199, 1027, 214, 1274, 1313, 1540, 1753, 1241, 1773, 1476, 1476, 1223, 1035, 1600, 1565, 454, 1201, 1192, 1407, 1136, 1429, 1259, 1187, 1278, 639, 1472, 1205, 1682, 1731, 1448, 805, 516, 1039, 416, 719, 1492, 1437, 1124, 510, 1542, 1307, 1282, 642, 1192, 719, 1498, 1328, 1829, 1124, 1481, 1812, 1013, 1279, 702, 1381, 1128, 1504, 1305, 185, 165, 453, 244, 128011, 128001 ]

[ 128000, 128002, 4516, 568, 596, 2751, 5128, 1790, 279, 4839, 1890, 6308, 2683, 323, 98785, 13, 1472, 1440, 11, 3411, 520, 2225, 315, 1124, 1314, 1022, 279, 16120, 1618, 11, 37080, 49422, 706, 813, 3776, 19689, 13, 15341, 1101, 3169, 315, 706, 430, 11, 719, 433, 596, 1120, 1648, 9333, 1606, 568, 3250, 956, 617, 1790, 315, 264, 19689, 311, 3240, 449, 13, 2030, 814, 617, 279, 1890, 1654, 278, 1070, 389, 872, 45526, 13, 2435, 2751, 430, 1890, 6307, 49104, 291, 2145, 269, 13, 128003, 128005, 938, 1071, 1064, 555, 405, 620, 585, 1007, 1543, 984, 1162, 482, 431, 626, 1648, 756, 1299, 903, 1570, 864, 1302, 931, 1386, 57, 316, 552, 745, 828, 1231, 1759, 60, 772, 981, 1076, 599, 639, 1468, 605, 1807, 1061, 1475, 782, 439, 1255, 399, 611, 689, 834, 1814, 549, 1013, 1802, 756, 852, 1252, 1300, 86, 969, 669, 1564, 678, 799, 1444, 1412, 1650, 1740, 1, 1823, 858, 1, 1429, 308, 1370, 1424, 579, 93, 1263, 1125, 53, 1129, 1119, 65, 339, 1193, 642, 764, 1330, 1803, 1072, 1087, 1682, 1124, 1152, 1254, 1277, 1556, 1005, 1688, 714, 870, 1527, 67, 1797, 117, 1476, 1751, 736, 1573, 1405, 1660, 1419, 1432, 1532, 751, 1036, 1818, 964, 1342, 1185, 1589, 1434, 1277, 1730, 1658, 555, 1707, 585, 928, 231, 1383, 166, 1329, 1051, 1202, 560, 29, 500, 217, 425, 1766, 1193, 1196, 249, 443, 503, 995, 1649, 834, 126, 1662, 746, 1501, 1787, 1624, 1811, 399, 502, 1624, 166, 1439, 1104, 1183, 697, 730, 695, 135, 1072, 887, 93, 73, 882, 1369, 1079, 1220, 1218, 1003, 1333, 1063, 1108, 1419, 1820, 595, 1786, 1393, 1289, 1126, 443, 1352, 181, 197, 923, 181, 1093, 0, 898, 1018, 1257, 230, 1150, 1690, 461, 961, 983, 132, 1534, 1788, 1041, 519, 749, 428, 1691, 328, 1278, 1047, 297, 1332, 846, 1241, 341, 533, 1748, 1093, 28, 428, 362, 6, 1457, 1283, 154, 1436, 1087, 872, 991, 110, 300, 1194, 81, 1177, 25, 1107, 358, 657, 1457, 1812, 1686, 1178, 648, 400, 315, 1018, 18, 1376, 1229, 1002, 1237, 1426, 398, 1240, 203, 990, 775, 1824, 648, 385, 1091, 615, 1802, 1643, 1658, 1411, 1282, 1077, 1810, 558, 705, 507, 996, 1681, 192, 1270, 1493, 1061, 1058, 1695, 0, 1753, 202, 328, 1583, 1053, 1140, 1324, 535, 491, 1364, 147, 1611, 106, 979, 105, 1808, 1423, 752, 1043, 1314, 1150, 1024, 1493, 1004, 75, 983, 1752, 91, 653, 1549, 1778, 176, 328, 1486, 1061, 1056, 91, 1287, 178, 1444, 1657, 1669, 1251, 884, 1214, 1714, 1129, 1232, 282, 456, 454, 306, 1173, 524, 210, 1801, 164, 991, 191, 1457, 816, 1136, 1785, 836, 416, 577, 1364, 384, 639, 1665, 1682, 1421, 1638, 1741, 1668, 1082, 1806, 1170, 1034, 1504, 1094, 1682, 1730, 1175, 1505, 1343, 1303, 971, 1327, 1480, 939, 888, 795, 1317, 1720, 1078, 738, 1532, 1083, 1823, 621, 1737, 411, 1570, 695, 355, 1053, 575, 1769, 1002, 815, 1730, 736, 1797, 1256, 1197, 1331, 18, 217, 1581, 878, 1460, 742, 1496, 1286, 1804, 927, 1356, 393, 1309, 142, 1292, 142, 1735, 95, 1802, 1314, 598, 1099, 1227, 1103, 1064, 1112, 1038, 1305, 1408, 1730, 862, 1421, 660, 1464, 1374, 267, 1619, 892, 462, 1590, 1774, 864, 312, 1578, 1698, 1676, 495, 1022, 721, 1754, 1088, 125, 909, 1412, 1220, 93, 1546, 503, 459, 969, 91, 1331, 932, 1320, 898, 1223, 642, 883, 383, 497, 1353, 560, 708, 800, 9, 901, 742, 1748, 1511, 1765, 1097, 1293, 1121, 1119, 857, 575, 325, 1092, 663, 1145, 1291, 1029, 142, 1144, 422, 1170, 589, 461, 1051, 142, 1125, 660, 1403, 1492, 376, 1403, 1612, 1511, 1345, 1418, 1379, 1054, 456, 1039, 230, 120, 769, 738, 1195, 665, 1645, 803, 1024, 1339, 1038, 1225, 1697, 1766, 736, 1697, 767, 1711, 1735, 767, 1789, 1393, 636, 1663, 1099, 1478, 733, 578, 732, 680, 672, 735, 1648, 981, 1668, 1089, 1179, 1698, 105, 1688, 65, 1831, 356, 514, 817, 113, 363, 739, 439, 686, 1272, 144, 1716, 531, 1012, 520, 1829, 50, 789, 344, 1166, 738, 1250, 98, 1564, 154, 1516, 62, 1733, 689, 116, 1185, 581, 644, 231, 547, 1429, 402, 1304, 768, 1486, 158, 1549, 1366, 1027, 132, 848, 736, 1426, 1649, 1368, 1457, 1782, 286, 767, 756, 1270, 1166, 1740, 1228, 1815, 1033, 1145, 1648, 1748, 782, 58, 1750, 297, 1801, 965, 1272, 271, 1095, 756, 370, 424, 1178, 1066, 147, 1195, 115, 1212, 800, 813, 1411, 1444, 744, 1254, 1213, 869, 1790, 1055, 1510, 1004, 481, 4, 455, 1611, 985, 961, 182, 876, 1300, 1399, 779, 234, 217, 1757, 1296, 613, 1633, 158, 503, 1374, 1058, 701, 711, 848, 190, 384, 230, 407, 1752, 736, 1734, 1707, 1018, 1821, 1393, 1349, 1421, 1370, 1701, 1668, 1687, 1704, 1418, 1510, 751, 885, 1305, 1268, 1296, 312, 1554, 1485, 966, 181, 806, 138, 49, 1304, 1718, 22, 1796, 1261, 1186, 1200, 679, 934, 492, 1761, 115, 660, 1457, 339, 84, 1335, 956, 306, 138, 83, 1670, 1298, 1494, 848, 157, 448, 315, 844, 1487, 384, 1206, 425, 367, 920, 1828, 1431, 1339, 1817, 1073, 1807, 1410, 1318, 1102, 1351, 349, 1127, 972, 678, 1069, 1757, 368, 996, 1272, 931, 191, 1238, 1272, 1636, 1139, 1280, 1073, 892, 864, 759, 1075, 609, 794, 797, 768, 1161, 966, 1340, 787, 920, 6, 510, 749, 1563, 1778, 719, 977, 1295, 372, 498, 829, 725, 271, 789, 346, 248, 679, 979, 1497, 1735, 1298, 970, 459, 1658, 1677, 951, 1196, 1161, 569, 1576, 498, 1210, 858, 876, 1349, 1232, 388, 987, 485, 828, 1711, 117, 1700, 230, 1364, 519, 1, 1308, 1656, 886, 269, 4, 599, 298, 315, 1524, 1422, 28, 1817, 1431, 1765, 1744, 1605, 1626, 720, 1357, 1746, 1187, 479, 1533, 1389, 340, 1308, 1261, 713, 1235, 195, 1341, 1748, 549, 483, 50, 407, 1436, 213, 844, 454, 308, 1130, 1766, 1700, 1407, 753, 515, 1828, 1110, 1304, 864, 1087, 1804, 642, 116, 1823, 53, 909, 1075, 532, 1663, 1098, 491, 1464, 522, 557, 1098, 637, 1472, 364, 481, 1153, 1336, 469, 1410, 1809, 1074, 719, 1119, 1423, 1139, 616, 1688, 1618, 176, 129, 1485, 634, 767, 1229, 884, 1733, 848, 1828, 1715, 1644, 1605, 426, 911, 1201, 965, 1002, 660, 1584, 346, 907, 1311, 1340, 1439, 502, 1376, 320, 1485, 1337, 966, 1638, 945, 0, 1584, 1761, 1160, 58, 41, 650, 708, 1411, 565, 1488, 1259, 956, 1787, 609, 12, 787, 785, 158, 740, 395, 1707, 730, 1434, 411, 1682, 783, 1766, 1758, 1593, 870, 1379, 901, 356, 1637, 1110, 1041, 462, 837, 959, 1775, 1556, 792, 1358, 1421, 1150, 940, 1262, 1464, 903, 1628, 37, 1656, 1568, 91, 269, 704, 1444, 1518, 1068, 782, 809, 1351, 1389, 1167, 577, 1192, 1827, 961, 1228, 225, 1521, 564, 576, 241, 783, 418, 657, 1684, 759, 1025, 183, 858, 519, 38, 714, 1691, 124, 1788, 1290, 1024, 1260, 1226, 1295, 1616, 1616, 1750, 1747, 1749, 733, 726, 1131, 1773, 253, 1497, 1768, 1250, 1493, 426, 1509, 810, 724, 90, 584, 42, 895, 543, 1378, 1649, 1240, 520, 132, 1027, 977, 927, 1776, 1381, 1337, 455, 1515, 1826, 1260, 1188, 1186, 536, 529, 644, 656, 844, 926, 1287, 1369, 735, 1099, 988, 1185, 1121, 188, 1495, 1821, 1458, 1342, 1807, 1411, 1436, 1809, 943, 1646, 1556, 1139, 1556, 1104, 788, 1397, 1034, 1741, 1421, 1589, 121, 1114, 820, 900, 242, 1106, 490, 1164, 82, 1832, 1745, 145, 1228, 1358, 1271, 479, 1097, 848, 384, 1150, 753, 1320, 794, 1720, 66, 1668, 1701, 1475, 1711, 1186, 1786, 399, 319, 507, 315, 1342, 335, 6, 18, 1325, 797, 320, 903, 295, 1061, 1192, 335, 1310, 443, 1568, 1397, 1468, 483, 515, 1821, 821, 1729, 615, 34, 4, 1710, 10, 1083, 1654, 833, 1470, 48, 1578, 1035, 1593, 1660, 178, 1556, 1646, 1197, 1141, 581, 951, 128, 221, 1816, 1182, 411, 519, 1197, 411, 1350, 1710, 177, 1099, 1005, 475, 1460, 1098, 1119, 452, 214, 1268, 650, 730, 853, 1134, 1136, 853, 1153, 611, 1024, 395, 1480, 931, 744, 966, 872, 721, 924, 970, 402, 1403, 638, 791, 637, 1674, 1170, 1218, 1795, 1400, 1490, 1320, 1090, 339, 475, 650, 309, 88, 1178, 948, 446, 380, 102, 614, 524, 1135, 517, 53, 949, 1766, 1444, 1438, 1808, 1447, 714, 298, 1403, 592, 1364, 927, 863, 1665, 1403, 1641, 1632, 1631, 1322, 1316, 1091, 1118, 1036, 1500, 1421, 989, 1803, 1714, 117, 1071, 1230, 1037, 1123, 669, 1348, 735, 620, 627, 933, 1043, 1115, 1057, 887, 18, 1373, 1384, 543, 1402, 1814, 371, 1201, 1330, 208, 1410, 1093, 1324, 1689, 900, 1404, 1108, 1196, 764, 1051, 234, 371, 1181, 1030, 658, 1791, 1433, 1682, 1719, 1476, 409, 1370, 202, 863, 788, 50, 28, 9, 1484, 1082, 456, 507, 1261, 473, 384, 1813, 276, 1141, 507, 359, 1701, 595, 414, 768, 1694, 850, 637, 859, 95, 436, 158, 669, 615, 1694, 1706, 1289, 1088, 1541, 1391, 1804, 1155, 1176, 203, 1419, 1388, 1832, 941, 788, 617, 677, 57, 1406, 399, 607, 1571, 774, 363, 713, 55, 426, 1166, 835, 28, 593, 1359, 972, 1080, 1815, 90, 820, 1688, 1412, 213, 117, 1370, 911, 1418, 1462, 1210, 796, 657, 1548, 368, 317, 1644, 1712, 1728, 6, 1513, 1097, 1820, 277, 1440, 107, 1035, 921, 1767, 1565, 1384, 1830, 1783, 1464, 22, 1615, 1759, 1349, 1063, 1484, 373, 1422, 173, 1174, 215, 1247, 210, 1331, 186, 525, 1429, 347, 699, 200, 1018, 1165, 595, 508, 455, 1624, 407, 1387, 315, 1485, 1245, 759, 1620, 565, 249, 1102, 270, 1591, 1204, 440, 635, 1766, 1340, 1025, 1777, 1052, 967, 1803, 32, 1832, 128011, 128001 ]

[ 128000, 128002, 1548, 596, 2751, 430, 1890, 4839, 24914, 449, 15341, 596, 57827, 389, 433, 11, 779, 433, 3169, 315, 8111, 311, 757, 430, 15341, 574, 810, 315, 264, 6917, 315, 279, 1501, 1109, 2563, 1394, 258, 6, 37080, 574, 13, 128003, 128005, 1319, 824, 651, 1021, 1162, 1228, 990, 1668, 549, 1047, 1531, 398, 716, 1004, 1563, 719, 308, 1369, 519, 129, 1485, 6, 714, 1588, 527, 1003, 1162, 179, 664, 483, 366, 958, 609, 424, 182, 300, 53, 521, 76, 695, 714, 642, 1776, 1247, 1219, 1739, 1526, 676, 1797, 1223, 1232, 560, 1001, 132, 412, 1435, 604, 303, 1342, 1241, 532, 1565, 1755, 1782, 1337, 1296, 1018, 52, 493, 335, 315, 1139, 213, 231, 911, 198, 640, 454, 1232, 931, 969, 682, 812, 886, 36, 416, 454, 13, 1416, 849, 117, 376, 834, 962, 1153, 47, 510, 397, 949, 1059, 1065, 927, 397, 1655, 1532, 1526, 1766, 1718, 1328, 767, 1086, 1701, 1, 411, 1703, 895, 835, 1724, 175, 1460, 448, 183, 1451, 1287, 1470, 910, 640, 367, 1656, 452, 777, 808, 390, 1230, 81, 1317, 463, 359, 858, 1368, 1411, 1686, 1472, 1367, 32, 1193, 1120, 1112, 967, 1051, 114, 1028, 663, 810, 649, 761, 1106, 282, 1122, 191, 989, 1204, 254, 1140, 1138, 499, 1066, 901, 1328, 142, 1254, 221, 872, 1356, 146, 1391, 271, 610, 318, 1056, 907, 315, 787, 1663, 1726, 1723, 1287, 493, 1407, 440, 1766, 1351, 636, 1793, 1797, 1343, 1268, 999, 1807, 1489, 1034, 1465, 1134, 1375, 1123, 1050, 1096, 601, 1028, 905, 950, 704, 1003, 584, 387, 799, 1362, 1167, 1792, 1152, 1008, 287, 1019, 1807, 970, 110, 776, 107, 788, 1022, 1484, 181, 1150, 1483, 637, 1647, 1406, 609, 426, 1620, 1450, 1756, 1818, 736, 1716, 957, 1648, 1032, 1120, 1697, 862, 1014, 608, 617, 1359, 1670, 1266, 1272, 343, 576, 325, 1416, 763, 1549, 444, 928, 1516, 310, 1558, 1075, 1307, 69, 430, 497, 181, 57, 788, 1723, 1076, 1439, 1007, 1105, 714, 1342, 276, 592, 1018, 202, 1027, 1638, 634, 1748, 895, 1529, 1763, 1322, 1651, 1794, 448, 286, 4, 409, 1422, 440, 714, 1400, 315, 1310, 1139, 315, 1532, 62, 117, 1314, 412, 557, 197, 388, 1022, 286, 829, 1482, 79, 1008, 1661, 1204, 1726, 479, 491, 1612, 1214, 424, 481, 1786, 662, 85, 424, 1155, 827, 880, 138, 277, 1656, 1156, 400, 1509, 1014, 1742, 1685, 1436, 52, 1235, 1147, 1811, 1809, 1783, 971, 1162, 1204, 1133, 1042, 1351, 361, 1378, 944, 783, 1477, 1073, 876, 1210, 1253, 1468, 616, 1147, 1710, 1404, 774, 1019, 1342, 806, 1496, 1221, 1798, 757, 793, 1221, 959, 1451, 385, 1711, 1679, 1524, 183, 546, 22, 448, 1349, 884, 1027, 1361, 13, 1058, 368, 1087, 1212, 388, 977, 376, 1437, 771, 1300, 974, 648, 616, 714, 1409, 1189, 1337, 1764, 1158, 1770, 1251, 1486, 1646, 1658, 1754, 939, 1504, 640, 1408, 1735, 344, 1425, 1313, 1510, 1504, 788, 1669, 1404, 533, 923, 495, 772, 396, 578, 1148, 967, 781, 86, 578, 1793, 1271, 996, 864, 1501, 687, 1047, 1774, 138, 1471, 277, 1245, 576, 1618, 1365, 1622, 1050, 142, 55, 183, 607, 1694, 1645, 1062, 1428, 1791, 1738, 1583, 1505, 1342, 1034, 1776, 619, 1766, 1502, 0, 109, 231, 1503, 617, 231, 1218, 1195, 1225, 1156, 30, 1452, 103, 315, 1470, 6, 1441, 938, 485, 1766, 303, 1821, 4, 703, 1250, 1460, 1491, 415, 629, 1829, 1573, 1077, 108, 1653, 1237, 1217, 1653, 134, 1390, 640, 93, 1030, 767, 809, 1422, 790, 1047, 556, 1431, 954, 1345, 428, 60, 1682, 154, 1584, 807, 1754, 1061, 1625, 251, 1492, 1383, 1472, 1709, 90, 1667, 1633, 983, 319, 858, 1333, 2, 1764, 768, 1814, 65, 18, 660, 1247, 725, 783, 746, 1757, 1026, 743, 1746, 1716, 328, 1803, 1282, 1270, 42, 719, 1037, 1071, 924, 971, 967, 852, 523, 1329, 1717, 1114, 1034, 1419, 1495, 1631, 1478, 719, 1474, 1373, 1255, 1123, 612, 242, 229, 585, 861, 1149, 1138, 1711, 629, 1228, 836, 1469, 848, 1729, 298, 510, 1773, 1568, 1155, 1035, 787, 1569, 1345, 1249, 1642, 1401, 856, 952, 439, 1605, 1501, 737, 1460, 662, 1192, 890, 1378, 1005, 1720, 511, 1426, 818, 1830, 1460, 815, 1788, 1698, 1055, 1082, 552, 1513, 940, 1813, 592, 946, 990, 828, 1802, 1217, 1676, 230, 848, 1496, 315, 1476, 1139, 315, 1057, 202, 1238, 1035, 1363, 786, 865, 1797, 622, 1630, 1105, 477, 74, 1489, 841, 267, 1452, 1129, 622, 1278, 1200, 1122, 51, 770, 19, 1457, 613, 1758, 756, 583, 1411, 703, 1833, 1804, 1006, 1328, 1346, 1780, 1022, 406, 13, 1470, 32, 1004, 1215, 1715, 328, 176, 1399, 713, 1797, 1410, 919, 1306, 1, 1583, 1111, 1113, 1823, 973, 500, 456, 1745, 1370, 352, 946, 1519, 456, 1627, 252, 1668, 184, 671, 1639, 1464, 1704, 816, 1205, 657, 0, 1625, 1392, 1214, 1584, 678, 551, 1409, 1344, 457, 1081, 1685, 121, 862, 1500, 708, 1467, 1534, 48, 464, 1093, 1414, 776, 787, 630, 550, 805, 65, 905, 132, 1052, 103, 607, 1290, 29, 921, 399, 877, 1513, 1296, 183, 409, 1441, 1437, 1375, 376, 1505, 1217, 1520, 1325, 1702, 1258, 1524, 1472, 1818, 1604, 1277, 1205, 1775, 681, 1128, 988, 691, 1026, 1341, 144, 830, 1694, 1815, 1330, 486, 1409, 1659, 1112, 123, 971, 864, 685, 937, 554, 910, 930, 124, 425, 1811, 602, 1656, 587, 546, 856, 1109, 1290, 1409, 807, 1798, 177, 1396, 785, 1251, 1084, 1076, 259, 116, 1663, 655, 158, 1437, 1148, 806, 79, 1656, 1213, 412, 860, 42, 926, 2, 1699, 718, 1479, 1221, 1068, 1549, 844, 1653, 129, 1300, 1513, 315, 1556, 636, 1818, 1405, 176, 1637, 68, 165, 219, 244, 244, 167, 128011, 128001 ]

[ 128000, 128002, 62012, 814, 1511, 1461, 13, 4800, 37080, 2744, 1047, 420, 2697, 43081, 11, 499, 1440, 11, 7366, 4668, 1405, 568, 1053, 617, 420, 3169, 315, 1093, 59207, 477, 21939, 9903, 11, 1093, 53251, 4661, 13, 128003, 128005, 1411, 654, 735, 793, 1202, 1517, 1113, 1466, 1454, 128, 1661, 735, 1661, 183, 1718, 865, 183, 1794, 1120, 1477, 13, 1035, 1357, 384, 1524, 1092, 1542, 1091, 1388, 1645, 990, 1791, 714, 37, 1138, 842, 1501, 788, 363, 700, 1418, 1624, 50, 1651, 1085, 362, 1479, 485, 1447, 1205, 231, 1770, 1430, 1361, 1347, 400, 225, 1250, 944, 1295, 943, 1280, 768, 1305, 628, 658, 1464, 1152, 346, 1617, 843, 459, 979, 615, 134, 1205, 1664, 481, 1749, 1548, 229, 1343, 1227, 869, 1225, 693, 1379, 1741, 891, 750, 627, 1430, 1215, 1144, 1021, 1011, 1003, 1634, 438, 735, 766, 624, 1418, 1628, 1455, 1235, 1031, 83, 1375, 142, 1735, 147, 1059, 102, 1002, 477, 1500, 352, 1596, 480, 1532, 828, 272, 1172, 1133, 1781, 870, 1045, 1727, 1232, 158, 74, 575, 1633, 517, 1265, 190, 834, 79, 47, 455, 175, 1422, 1165, 1382, 524, 443, 1502, 1197, 212, 491, 1772, 874, 88, 116, 1810, 1165, 774, 508, 397, 1008, 1024, 919, 158, 1629, 1, 890, 1441, 195, 519, 1018, 631, 1397, 1040, 1169, 679, 430, 88, 1814, 463, 159, 1711, 164, 730, 372, 632, 1382, 349, 515, 1583, 1019, 171, 1134, 1645, 1379, 388, 588, 1215, 637, 536, 1451, 1533, 1521, 213, 52, 943, 46, 870, 398, 1552, 1156, 1758, 1646, 110, 116, 1702, 958, 730, 348, 532, 1614, 386, 1115, 508, 1245, 1089, 1186, 455, 231, 1274, 967, 648, 1400, 543, 52, 1631, 198, 362, 1500, 741, 632, 1342, 370, 352, 767, 393, 41, 502, 945, 546, 104, 362, 315, 1161, 1638, 340, 1496, 782, 425, 1265, 1583, 1483, 234, 216, 857, 844, 617, 1772, 889, 720, 468, 658, 564, 817, 550, 1413, 889, 629, 677, 587, 1006, 1, 1635, 1542, 666, 1096, 1688, 1357, 468, 757, 785, 631, 898, 979, 361, 1314, 1341, 903, 64, 1086, 689, 1019, 1450, 355, 882, 963, 175, 747, 175, 389, 1687, 1723, 804, 863, 1352, 1738, 1180, 751, 467, 496, 864, 1623, 1468, 134, 1450, 1446, 1825, 18, 1248, 1329, 701, 1193, 1412, 356, 1507, 62, 1267, 802, 1335, 1719, 634, 1706, 6, 654, 1651, 11, 1583, 1140, 1170, 1441, 116, 1357, 636, 536, 1440, 1732, 78, 1030, 971, 1221, 120, 927, 217, 964, 146, 702, 1534, 560, 859, 1417, 1667, 987, 1675, 674, 550, 666, 809, 1024, 1444, 1609, 1337, 1471, 878, 386, 1788, 498, 359, 1002, 1200, 146, 1314, 660, 944, 1245, 474, 1153, 55, 1004, 486, 1014, 1254, 58, 1158, 1327, 1740, 1726, 1809, 569, 1734, 1392, 128, 795, 41, 388, 469, 467, 1450, 1491, 1678, 848, 1718, 399, 1139, 1436, 399, 1450, 493, 767, 495, 782, 1637, 1701, 344, 1707, 1510, 1585, 1360, 1510, 1233, 964, 1104, 984, 793, 1730, 516, 989, 516, 1292, 1649, 967, 1313, 1788, 1268, 1329, 1251, 924, 1230, 891, 1057, 1703, 1071, 885, 548, 460, 928, 891, 1652, 1151, 1010, 1614, 377, 627, 465, 950, 1418, 426, 1346, 686, 345, 1288, 666, 686, 1016, 975, 799, 1536, 509, 795, 928, 899, 799, 704, 1114, 1669, 1570, 939, 1614, 766, 751, 281, 1142, 957, 436, 1233, 1669, 377, 939, 465, 862, 1465, 1273, 136, 785, 820, 1655, 666, 257, 585, 1570, 692, 1536, 704, 751, 465, 762, 735, 928, 751, 1448, 1818, 19, 335, 1079, 1117, 991, 1282, 711, 536, 1720, 1423, 1505, 697, 805, 800, 974, 1088, 757, 1621, 1008, 1792, 1832, 1530, 1037, 1044, 1385, 82, 1076, 614, 128, 1043, 951, 128, 1826, 1063, 236, 1513, 733, 860, 1693, 562, 1486, 1309, 1106, 1061, 1424, 1525, 1130, 1133, 976, 1809, 1076, 1430, 449, 1284, 1130, 984, 750, 1195, 964, 833, 879, 1075, 295, 547, 49, 1196, 466, 190, 127, 318, 910, 1387, 1810, 1181, 1160, 1287, 1300, 263, 1761, 375, 599, 1320, 357, 1422, 1160, 780, 1397, 943, 685, 1489, 533, 1255, 1730, 1334, 957, 895, 838, 1385, 1128, 460, 1010, 1244, 1233, 1652, 1474, 751, 686, 824, 1652, 686, 591, 950, 928, 1648, 1474, 766, 1114, 1151, 861, 1465, 465, 691, 1585, 281, 274, 325, 345, 1011, 465, 795, 1011, 1242, 957, 1763, 584, 1142, 1338, 1655, 1525, 1244, 693, 978, 1227, 734, 257, 1045, 1063, 856, 986, 411, 696, 518, 1628, 613, 1782, 839, 127, 86, 321, 1465, 386, 1706, 1281, 192, 1655, 1192, 521, 1163, 992, 364, 830, 1733, 1166, 1709, 1320, 399, 1367, 719, 1634, 1305, 176, 1654, 1447, 335, 1483, 512, 1496, 1635, 1528, 799, 918, 1193, 635, 200, 856, 1216, 277, 491, 1814, 940, 545, 1734, 1004, 455, 1417, 1074, 1420, 13, 30, 1243, 1034, 1098, 1281, 1240, 1635, 989, 397, 1619, 1332, 1719, 860, 1186, 1261, 547, 514, 500, 909, 901, 1147, 1048, 1683, 1152, 1397, 714, 1788, 1681, 1169, 1455, 446, 514, 178, 777, 656, 1178, 1267, 858, 875, 1144, 1188, 188, 1069, 328, 1721, 1014, 67, 1612, 1466, 1803, 467, 350, 1318, 409, 725, 1635, 202, 1311, 398, 376, 1008, 1214, 685, 856, 856, 647, 1074, 1804, 1207, 1325, 1384, 1206, 92, 1008, 1245, 1022, 777, 1407, 1307, 1611, 1366, 48, 1670, 917, 1781, 1175, 1109, 848, 806, 41, 1415, 972, 1818, 1253, 1209, 1470, 1187, 95, 1340, 1598, 473, 384, 362, 213, 794, 1238, 320, 1519, 26, 863, 1528, 202, 1500, 989, 1436, 1305, 1546, 1644, 1430, 1364, 795, 165, 156, 244, 128011, 128001 ]

[ 128000, 128002, 2181, 596, 3169, 315, 2653, 311, 1518, 304, 1070, 13, 1102, 596, 264, 2697, 61218, 3201, 13, 3580, 422, 358, 649, 1456, 323, 6958, 433, 704, 1618, 13, 358, 1541, 956, 1440, 3249, 13, 29308, 11, 1070, 584, 733, 13, 3580, 422, 358, 649, 6958, 433, 704, 13, 22335, 11, 779, 499, 649, 6958, 433, 704, 1093, 430, 323, 433, 1587, 13334, 13, 2360, 11, 433, 3250, 956, 2216, 13334, 430, 1790, 11, 719, 13, 128003, 128005, 423, 561, 762, 1290, 1653, 1230, 543, 1214, 726, 1781, 772, 1009, 1165, 1113, 806, 725, 949, 1013, 847, 1109, 1265, 768, 576, 1826, 827, 1030, 587, 617, 1059, 969, 992, 833, 550, 1336, 1600, 748, 1628, 665, 1537, 502, 882, 502, 213, 320, 1061, 46, 1018, 253, 50, 1186, 495, 556, 514, 554, 286, 1607, 335, 302, 726, 158, 1360, 755, 1346, 412, 64, 1247, 843, 947, 576, 1303, 549, 718, 471, 839, 471, 411, 886, 1697, 949, 1563, 1676, 1364, 315, 1009, 1539, 966, 1402, 1827, 1477, 63, 116, 804, 1665, 260, 935, 1682, 629, 1641, 1326, 1285, 1767, 1348, 1422, 67, 0, 239, 1790, 1279, 1105, 82, 1611, 147, 600, 382, 1263, 1300, 615, 1652, 1216, 1032, 586, 1817, 1230, 782, 1333, 491, 1491, 1649, 803, 1791, 261, 898, 447, 675, 1822, 613, 502, 1102, 979, 1136, 79, 1691, 829, 822, 774, 1347, 549, 1186, 570, 813, 1286, 1375, 134, 1331, 1176, 1464, 1631, 1817, 1227, 950, 229, 1079, 1669, 1092, 1496, 1419, 924, 1450, 1118, 976, 1703, 751, 1360, 975, 1142, 928, 975, 799, 387, 762, 668, 404, 1699, 802, 1375, 669, 176, 1686, 1532, 779, 1021, 798, 1434, 1710, 1530, 1637, 1683, 1165, 1125, 721, 1034, 1708, 1629, 1359, 1274, 1164, 1361, 1136, 823, 1015, 426, 1463, 1819, 1266, 1488, 1639, 1266, 1675, 654, 1817, 581, 1600, 1227, 1194, 1282, 607, 1367, 521, 923, 441, 1160, 1251, 868, 1633, 785, 803, 1313, 1610, 1524, 1661, 169, 717, 1749, 1358, 1532, 1474, 1653, 1808, 1307, 1697, 260, 317, 1764, 883, 125, 727, 809, 805, 705, 1519, 1369, 1636, 763, 934, 1797, 524, 1471, 595, 1119, 412, 1316, 610, 755, 1738, 730, 1212, 1449, 860, 1413, 949, 636, 1497, 881, 730, 1215, 1460, 1209, 1082, 662, 1129, 1631, 610, 1309, 836, 1483, 1320, 1030, 1429, 1022, 1218, 1226, 1493, 876, 1448, 1406, 864, 766, 1149, 1462, 1406, 983, 1525, 1454, 1047, 624, 1060, 576, 223, 90, 1409, 31, 1103, 757, 378, 941, 1015, 971, 552, 1223, 887, 412, 42, 1100, 364, 1668, 1119, 179, 1279, 965, 609, 1735, 1490, 364, 1215, 1243, 1739, 1802, 1816, 1820, 1474, 1397, 1588, 1011, 1393, 1737, 1293, 1495, 265, 1137, 976, 199, 1279, 1639, 486, 1432, 585, 1003, 1146, 484, 976, 1108, 163, 837, 1071, 772, 1724, 832, 924, 1151, 693, 1016, 1319, 805, 1703, 862, 899, 281, 1233, 1293, 257, 845, 509, 986, 744, 851, 334, 984, 861, 843, 624, 1548, 804, 1505, 343, 1218, 1795, 59, 1263, 566, 813, 1824, 1218, 1004, 406, 628, 1637, 1384, 388, 1327, 1490, 1436, 1740, 776, 1448, 40, 1246, 995, 1187, 22, 1490, 1743, 1825, 855, 1134, 1488, 1475, 1755, 752, 1423, 1480, 974, 1050, 1294, 1357, 501, 307, 1120, 1796, 1045, 1798, 1321, 1210, 1832, 1780, 1517, 1443, 1265, 495, 1388, 1023, 1743, 216, 1128, 563, 594, 885, 149, 936, 1010, 490, 1514, 641, 735, 641, 762, 555, 20, 601, 257, 487, 603, 1338, 1233, 869, 1817, 1816, 1694, 1548, 1768, 666, 986, 712, 465, 627, 1244, 567, 680, 561, 513, 1288, 311, 601, 257, 561, 651, 417, 567, 1080, 417, 486, 1242, 692, 334, 765, 337, 641, 1362, 591, 975, 423, 751, 436, 824, 659, 1242, 555, 1536, 334, 54, 1512, 680, 273, 1600, 1327, 507, 1639, 1021, 865, 1716, 1291, 1039, 1330, 1433, 1383, 994, 717, 1621, 1593, 1250, 1699, 942, 459, 1155, 1304, 788, 1138, 837, 177, 1780, 1322, 1282, 1155, 1795, 1413, 1326, 1700, 1695, 502, 1376, 1712, 1694, 1781, 900, 820, 824, 486, 450, 681, 1319, 692, 548, 417, 601, 673, 311, 624, 1536, 1176, 1010, 1672, 975, 805, 766, 378, 986, 1242, 805, 1592, 566, 630, 417, 585, 1763, 1362, 981, 1536, 1242, 121, 1474, 538, 799, 704, 1003, 928, 387, 891, 1362, 534, 566, 975, 933, 1573, 1512, 585, 1570, 584, 1142, 975, 799, 1685, 1546, 485, 448, 1649, 1042, 1525, 492, 758, 757, 1543, 626, 1225, 1249, 1416, 391, 829, 1432, 610, 1366, 1222, 1272, 1254, 475, 1225, 589, 1776, 777, 1583, 477, 1677, 1202, 1353, 1494, 41, 719, 134, 1277, 1713, 1537, 1716, 17, 832, 1065, 1080, 978, 465, 891, 1213, 786, 1339, 1499, 1383, 530, 1721, 1570, 971, 686, 692, 971, 1242, 566, 624, 975, 712, 1390, 1302, 1142, 712, 509, 899, 1585, 710, 1360, 1302, 899, 1016, 509, 169, 151, 334, 673, 620, 712, 513, 151, 316, 641, 287, 624, 1244, 1151, 1652, 1696, 1474, 1623, 704, 1142, 257, 313, 601, 387, 287, 727, 781, 1570, 1181, 8, 601, 1665, 8, 717, 1334, 504, 1064, 677, 378, 1343, 8, 378, 694, 712, 1536, 686, 334, 766, 337, 603, 435, 445, 1677, 1334, 316, 799, 544, 601, 710, 377, 1465, 1592, 274, 438, 975, 624, 509, 762, 981, 694, 566, 1419, 1302, 939, 567, 762, 486, 16, 566, 566, 975, 651, 417, 567, 923, 1536, 247, 612, 141, 673, 1007, 584, 301, 387, 509, 534, 151, 1023, 1284, 692, 624, 496, 168, 534, 1570, 169, 624, 311, 513, 1578, 1693, 1291, 1688, 1263, 58, 454, 545, 1450, 1417, 1471, 1098, 1001, 1077, 1230, 1581, 1746, 1722, 1311, 902, 1318, 804, 1128, 37, 523, 869, 301, 1688, 1644, 570, 1571, 680, 1694, 16, 923, 691, 762, 603, 16, 967, 995, 676, 486, 704, 334, 1142, 465, 735, 975, 692, 486, 975, 762, 933, 1360, 337, 436, 785, 1020, 10, 766, 802, 1730, 1739, 521, 1464, 451, 1581, 1315, 1009, 1160, 36, 716, 689, 1638, 1340, 1371, 995, 1791, 1584, 1215, 1367, 1038, 1636, 291, 515, 856, 425, 63, 203, 532, 682, 55, 1473, 1117, 1207, 1078, 996, 107, 51, 116, 1437, 1143, 1066, 205, 1224, 1411, 248, 662, 1565, 386, 326, 1794, 800, 462, 895, 844, 252, 1496, 471, 688, 495, 1605, 1406, 1466, 1514, 1475, 1178, 622, 298, 461, 1731, 402, 1224, 254, 1190, 300, 660, 104, 855, 452, 610, 592, 910, 870, 1437, 1048, 1099, 1124, 651, 1054, 908, 1458, 1391, 490, 1057, 1289, 1279, 1436, 651, 1496, 751, 470, 707, 259, 971, 584, 681, 555, 311, 396, 1705, 1832, 1424, 1166, 926, 1160, 1487, 996, 1588, 628, 1091, 877, 1822, 1590, 1163, 1270, 848, 1325, 525, 1793, 452, 411, 865, 83, 1630, 1217, 834, 176, 348, 416, 1075, 1475, 556, 616, 308, 716, 1496, 1702, 1373, 788, 230, 1212, 409, 239, 1057, 398, 1451, 654, 34, 1623, 1214, 942, 1345, 626, 714, 1196, 797, 1382, 755, 1378, 560, 1782, 961, 1329, 1493, 1787, 901, 59, 903, 669, 1280, 1755, 1352, 1237, 1824, 1590, 1252, 1777, 1595, 1304, 1556, 1321, 1133, 795, 1157, 1433, 975, 274, 1251, 450, 630, 169, 504, 673, 377, 417, 316, 1242, 680, 673, 16, 624, 509, 417, 523, 838, 1782, 1209, 1565, 1545, 733, 649, 1384, 1144, 1724, 1221, 1698, 640, 703, 1293, 1286, 1369, 1212, 825, 1671, 755, 1384, 1245, 1253, 1417, 1344, 1526, 1042, 1677, 730, 1495, 1336, 1689, 1653, 1759, 9, 1714, 1136, 1509, 1056, 1023, 1047, 1688, 1670, 1552, 1217, 1378, 1448, 1100, 1823, 1406, 1417, 1211, 946, 1502, 513, 1192, 1448, 843, 949, 1648, 1119, 793, 1252, 664, 1085, 1048, 1637, 1558, 1476, 10, 1451, 368, 124, 1711, 1238, 1796, 9, 1331, 1280, 1127, 1160, 1384, 1501, 714, 1717, 1534, 1300, 1013, 1438, 547, 1517, 1075, 324, 1108, 887, 300, 1726, 1444, 1682, 1352, 1137, 1064, 188, 672, 1044, 27, 1400, 709, 1573, 777, 1289, 1089, 998, 1261, 1295, 664, 1589, 828, 1406, 1450, 1598, 858, 493, 1511, 858, 1752, 1830, 1681, 630, 1343, 1169, 1103, 364, 871, 184, 1034, 777, 1394, 969, 663, 1434, 1311, 470, 1067, 908, 1096, 1117, 1414, 1432, 219, 165, 453, 244, 128011, 128001 ]

[ 128000, 128002, 24220, 11, 499, 1440, 11, 433, 3604, 11, 499, 1440, 11, 1675, 24031, 264, 2697, 2766, 505, 279, 5818, 13, 2100, 430, 596, 5128, 7155, 13, 1472, 649, 259, 1983, 433, 1203, 304, 1070, 11, 3345, 279, 6134, 13, 15341, 1587, 539, 617, 264, 7366, 4668, 1093, 430, 11, 719, 2103, 2216, 7155, 13, 22335, 11, 86350, 42742, 1648, 11493, 13, 2100, 7344, 358, 3169, 315, 3194, 49198, 6931, 13, 9372, 520, 430, 13, 128003, 128005, 750, 1652, 1495, 911, 674, 999, 1621, 1003, 884, 681, 680, 724, 188, 544, 691, 378, 799, 1731, 774, 1792, 100, 205, 1746, 43, 699, 521, 329, 1183, 212, 1229, 375, 965, 549, 1790, 1160, 456, 888, 1422, 616, 1537, 685, 1331, 110, 856, 58, 993, 1335, 455, 41, 1438, 1739, 1004, 616, 1104, 1335, 1813, 1422, 1384, 1059, 996, 1132, 399, 816, 184, 277, 1630, 658, 524, 787, 595, 708, 410, 1105, 506, 1770, 1476, 1488, 549, 1615, 1677, 1027, 1402, 1437, 1682, 1187, 1325, 1713, 123, 30, 617, 1334, 440, 225, 930, 175, 1336, 968, 1452, 1315, 533, 787, 1680, 849, 983, 1745, 1403, 109, 1665, 876, 1768, 1018, 1374, 1283, 510, 28, 122, 1217, 802, 230, 1314, 996, 411, 1146, 57, 1764, 631, 748, 750, 856, 1418, 1161, 1315, 176, 662, 1215, 576, 1793, 966, 1049, 1466, 580, 1660, 937, 1027, 1745, 388, 1763, 303, 1585, 1670, 202, 319, 1573, 409, 1027, 1498, 1741, 552, 1802, 836, 1747, 1409, 1747, 721, 758, 721, 1796, 456, 1654, 225, 1818, 974, 1661, 894, 1460, 893, 123, 674, 1048, 1251, 1266, 1658, 117, 1187, 1272, 1152, 36, 1383, 829, 679, 1285, 1542, 18, 1685, 1632, 1027, 1428, 1397, 1200, 1189, 1344, 1266, 983, 1528, 1497, 1457, 875, 1686, 1649, 1819, 678, 1293, 1775, 678, 928, 1014, 416, 994, 1690, 1092, 95, 572, 1081, 343, 1243, 1565, 740, 1304, 786, 737, 1290, 297, 1627, 286, 1756, 7, 1166, 640, 409, 1637, 1741, 1127, 1060, 234, 1492, 497, 104, 801, 969, 1217, 1318, 1814, 348, 648, 1018, 1337, 1720, 1649, 1713, 1754, 1451, 1390, 878, 1295, 1435, 1350, 439, 1259, 533, 1647, 295, 503, 1430, 1104, 317, 1425, 1752, 1118, 1292, 1821, 291, 583, 1592, 1830, 222, 1336, 1634, 1263, 557, 495, 1312, 530, 1793, 272, 1079, 1175, 1414, 1496, 1524, 1683, 1329, 1746, 1754, 1091, 1185, 1411, 1687, 1144, 938, 513, 735, 379, 693, 765, 504, 548, 1039, 1133, 1170, 839, 1080, 1789, 564, 1664, 175, 1061, 510, 1079, 19, 82, 1700, 571, 959, 292, 831, 1765, 1790, 1294, 347, 1200, 452, 1564, 1662, 1305, 355, 247, 1204, 477, 1711, 306, 113, 1216, 115, 790, 1222, 944, 347, 917, 1418, 1289, 967, 178, 1220, 997, 1731, 178, 302, 636, 1365, 1375, 898, 849, 1243, 1364, 770, 1565, 1066, 1373, 430, 1109, 388, 1632, 961, 901, 1526, 1318, 979, 1243, 1410, 1750, 1315, 1108, 612, 1822, 162, 430, 1778, 1225, 1769, 1798, 1631, 1385, 1752, 1754, 1456, 1639, 1128, 578, 1694, 1162, 116, 1474, 466, 936, 297, 1035, 1150, 395, 680, 1663, 18, 502, 1580, 183, 1769, 1781, 1752, 1477, 864, 799, 1335, 725, 5, 954, 1279, 671, 227, 936, 1474, 50, 1310, 816, 536, 425, 500, 1638, 1287, 675, 557, 397, 994, 969, 1588, 1169, 1147, 1073, 1045, 388, 439, 774, 230, 653, 1077, 55, 91, 1134, 932, 693, 1745, 251, 1121, 1289, 174, 1481, 752, 378, 1367, 229, 1128, 1185, 259, 1292, 449, 378, 976, 832, 1632, 1523, 1065, 1589, 735, 563, 1343, 936, 964, 325, 717, 1016, 692, 1071, 20, 680, 627, 544, 490, 584, 584, 1131, 1549, 55, 1670, 1278, 1204, 384, 1651, 678, 308, 1612, 1285, 1649, 1765, 1519, 6, 1126, 756, 158, 48, 701, 549, 774, 176, 15, 1679, 368, 1022, 1030, 1459, 711, 321, 1341, 1400, 1135, 467, 1350, 979, 1335, 1445, 860, 934, 927, 1072, 569, 1633, 1029, 109, 1681, 856, 1321, 1422, 583, 1016, 1485, 564, 1527, 917, 1693, 502, 909, 1250, 395, 893, 1568, 557, 160, 1524, 748, 1573, 1494, 981, 886, 803, 619, 647, 758, 1320, 177, 640, 1662, 1485, 362, 1719, 1720, 1527, 1668, 1036, 1215, 657, 582, 315, 1336, 398, 269, 1569, 1546, 761, 399, 713, 1324, 340, 1228, 1307, 1393, 123, 583, 867, 809, 1514, 664, 1076, 1382, 699, 1524, 777, 286, 1103, 870, 998, 350, 783, 989, 1350, 1593, 1700, 1299, 1746, 176, 459, 1209, 1410, 173, 1581, 400, 1191, 65, 1297, 467, 1040, 497, 1492, 985, 1046, 560, 1369, 1336, 1397, 646, 1106, 1033, 531, 1067, 1065, 594, 1154, 562, 1294, 1273, 674, 544, 1760, 610, 1335, 955, 991, 195, 306, 36, 587, 511, 79, 104, 1173, 1261, 425, 1749, 1647, 1227, 1682, 473, 0, 295, 1412, 599, 1166, 1611, 858, 1687, 1720, 1711, 1639, 1496, 1681, 284, 1713, 325, 933, 1536, 765, 1142, 668, 936, 785, 933, 316, 669, 301, 513, 928, 516, 1145, 585, 555, 1623, 601, 692, 666, 681, 975, 1142, 735, 694, 601, 555, 1242, 1114, 1737, 975, 513, 704, 676, 727, 544, 651, 1348, 692, 378, 666, 724, 1118, 544, 378, 257, 765, 612, 975, 712, 624, 504, 566, 487, 704, 54, 274, 584, 334, 417, 509, 486, 1242, 334, 765, 696, 601, 496, 712, 509, 1571, 866, 619, 546, 781, 50, 1451, 911, 6, 1681, 404, 1571, 852, 911, 1063, 1495, 373, 85, 1206, 1083, 319, 1111, 1648, 492, 1460, 676, 1295, 1056, 484, 1357, 1353, 223, 814, 774, 278, 532, 1447, 86, 836, 1450, 548, 809, 372, 1321, 1417, 1104, 414, 1478, 1734, 1144, 1128, 1043, 1133, 1281, 259, 455, 1762, 396, 425, 1601, 1095, 1093, 1118, 921, 1683, 754, 1257, 743, 982, 1801, 1035, 1087, 1631, 1420, 1179, 1638, 1194, 1156, 375, 1252, 1742, 1277, 307, 1043, 1096, 1781, 230, 1686, 1084, 1697, 855, 920, 67, 883, 234, 409, 1392, 100, 1048, 648, 1441, 1439, 448, 320, 719, 1415, 1356, 502, 22, 1477, 117, 1483, 1462, 863, 1482, 615, 1832, 1225, 1744, 1371, 1480, 1688, 58, 1821, 632, 733, 519, 545, 298, 973, 519, 1332, 839, 350, 1022, 1701, 987, 1828, 1681, 1757, 4, 202, 1766, 599, 1724, 1466, 1790, 1776, 1593, 1596, 487, 1472, 1828, 1414, 562, 967, 188, 240, 624, 90, 1288, 1581, 1006, 1614, 935, 1413, 626, 1408, 18, 972, 50, 1030, 335, 757, 619, 695, 1681, 79, 1348, 22, 925, 877, 888, 27, 1806, 731, 1682, 1318, 756, 717, 107, 648, 1038, 664, 527, 1013, 1825, 360, 1100, 672, 774, 490, 277, 1236, 777, 1363, 718, 793, 518, 902, 742, 805, 1677, 646, 1432, 1715, 121, 1701, 1809, 1279, 1644, 936, 1465, 1338, 1154, 1536, 795, 1010, 1578, 933, 758, 625, 591, 325, 584, 1080, 16, 630, 1284, 1585, 555, 417, 168, 651, 1362, 710, 438, 426, 712, 686, 377, 513, 1284, 981, 624, 281, 627, 274, 785, 378, 1570, 712, 591, 325, 301, 957, 785, 378, 1011, 712, 555, 505, 603, 567, 423, 674, 496, 766, 1242, 1363, 1327, 654, 713, 1667, 1466, 303, 959, 636, 718, 1649, 1136, 813, 1417, 966, 1700, 1501, 1743, 1658, 1666, 1822, 1373, 1716, 1359, 1357, 1493, 649, 485, 389, 1573, 1476, 860, 876, 533, 1436, 234, 536, 176, 1012, 1161, 108, 1371, 793, 1625, 1509, 980, 1300, 536, 1606, 1009, 1332, 428, 126, 197, 231, 1361, 1583, 1451, 310, 1612, 689, 1708, 1689, 1059, 1049, 459, 1223, 470, 902, 1032, 612, 1279, 437, 1181, 1051, 663, 691, 1260, 1232, 1259, 1186, 780, 203, 895, 1811, 1446, 1342, 1730, 1316, 1104, 708, 1663, 948, 664, 1308, 882, 644, 1104, 13, 1449, 1088, 742, 1214, 647, 668, 966, 91, 1088, 840, 1364, 1312, 1744, 1439, 1709, 202, 858, 28, 129, 736, 18, 315, 1532, 335, 1422, 1685, 1547, 1654, 1085, 1720, 879, 491, 1694, 552, 319, 1055, 63, 939, 628, 1007, 836, 1446, 1790, 729, 1758, 1790, 199, 869, 777, 1076, 1470, 987, 1286, 1663, 1004, 1006, 678, 727, 303, 1752, 1487, 493, 1312, 1556, 798, 1510, 1460, 653, 1827, 1201, 1275, 725, 473, 835, 1479, 1678, 1793, 1027, 1324, 937, 1215, 1410, 530, 1704, 954, 1076, 1073, 1162, 1291, 452, 1498, 1629, 874, 1252, 1278, 1178, 1499, 1320, 1762, 1274, 1254, 353, 1123, 1385, 1674, 1293, 156, 219, 244, 244, 167, 128011, 128001 ]

[ 128000, 128002, 5028, 10033, 323, 84527, 374, 5115, 264, 2766, 11493, 1109, 15341, 11, 779, 7344, 1131, 128003, 128005, 630, 963, 1770, 893, 896, 727, 1715, 1306, 690, 1474, 816, 618, 143, 576, 1, 794, 158, 14, 753, 1047, 30, 1732, 858, 1238, 1237, 399, 510, 175, 725, 836, 110, 508, 397, 1620, 1476, 1671, 749, 395, 1508, 1691, 1540, 1678, 1707, 1147, 148, 1543, 697, 102, 890, 213, 252, 1766, 849, 1247, 243, 455, 1817, 947, 502, 126, 1549, 298, 1618, 1376, 1296, 1436, 357, 1226, 1146, 1546, 1722, 1677, 1484, 1333, 1306, 1421, 1114, 642, 489, 87, 1353, 162, 983, 934, 155, 49, 1149, 184, 320, 1444, 957, 1117, 1063, 330, 553, 615, 962, 742, 1632, 1820, 1231, 1412, 870, 613, 1146, 388, 116, 1450, 962, 312, 758, 368, 752, 1101, 1532, 73, 500, 211, 1642, 947, 688, 426, 1596, 1780, 782, 789, 1364, 197, 1646, 1728, 269, 585, 1022, 640, 1564, 203, 1319, 1463, 906, 937, 344, 367, 1820, 320, 424, 132, 1459, 547, 157, 455, 1568, 1741, 1396, 1436, 1772, 1671, 399, 1746, 1665, 1681, 1123, 1225, 1735, 1433, 885, 1414, 772, 1024, 1251, 1164, 1688, 1033, 1379, 1784, 1305, 1104, 1384, 885, 1489, 638, 1168, 1158, 334, 1108, 562, 1244, 986, 1570, 335, 820, 6, 333, 1637, 997, 1716, 1002, 742, 1535, 831, 1375, 913, 436, 1460, 617, 1766, 989, 1113, 153, 143, 341, 1441, 849, 1204, 154, 1353, 428, 1507, 1348, 854, 1460, 945, 683, 48, 541, 1216, 117, 201, 834, 1341, 1450, 767, 1710, 126, 1664, 1532, 748, 649, 971, 1260, 1021, 1754, 643, 165, 244, 244, 244, 128011, 128001 ]

[ 128000, 128002, 31456, 30675, 311, 387, 810, 304, 279, 5912, 1404, 24066, 11, 719, 358, 2846, 2103, 5128, 16913, 568, 1053, 617, 1027, 264, 79524, 304, 279, 25761, 1584, 11, 902, 574, 1093, 264, 400, 2002, 3430, 907, 13, 128003, 128005, 710, 585, 199, 918, 1211, 729, 611, 1151, 1267, 810, 1616, 312, 1831, 4, 695, 41, 28, 1221, 614, 1422, 746, 834, 1732, 636, 1446, 1466, 26, 1314, 841, 1798, 1389, 1681, 363, 301, 924, 470, 1825, 747, 151, 1380, 1371, 1693, 1552, 1616, 22, 1227, 1027, 506, 823, 158, 377, 756, 1811, 1624, 230, 1240, 541, 549, 1549, 1370, 1297, 502, 644, 117, 302, 1170, 443, 976, 293, 921, 1139, 211, 1108, 648, 439, 1379, 1482, 1676, 858, 1618, 1642, 1441, 1073, 556, 67, 989, 18, 386, 1344, 382, 143, 1676, 368, 1673, 1671, 1565, 844, 835, 784, 836, 1595, 1018, 617, 1383, 644, 975, 1156, 64, 1047, 1514, 374, 32, 1437, 1115, 1676, 588, 1695, 718, 1819, 871, 1637, 203, 1458, 521, 1499, 847, 1301, 1166, 721, 1450, 1069, 1665, 1625, 1554, 64, 787, 765, 1141, 1754, 1501, 297, 633, 1100, 966, 1446, 1049, 1584, 1006, 1421, 53, 1342, 626, 452, 870, 1443, 858, 937, 533, 1047, 763, 636, 98, 1801, 1588, 1443, 1811, 1166, 853, 1357, 297, 583, 1332, 1287, 1328, 1476, 1272, 634, 129, 132, 1283, 183, 1489, 370, 1222, 79, 907, 1326, 135, 1746, 609, 616, 1280, 409, 1661, 1790, 648, 473, 1707, 1798, 1779, 1412, 1297, 565, 1044, 364, 172, 1066, 985, 441, 705, 461, 621, 1422, 1097, 1622, 1153, 1501, 1011, 1160, 1318, 617, 1376, 1827, 1734, 440, 1415, 18, 239, 1466, 599, 1030, 1340, 848, 1598, 1351, 1364, 1509, 849, 1042, 1490, 1215, 1425, 1676, 972, 1378, 800, 934, 753, 1160, 524, 1253, 236, 1742, 461, 1462, 179, 1496, 903, 28, 803, 627, 1393, 716, 134, 1583, 1300, 1296, 198, 570, 1061, 1376, 1528, 634, 1726, 1245, 934, 1369, 13, 1645, 137, 1333, 1449, 1677, 58, 1321, 1799, 1556, 715, 1131, 1063, 1110, 828, 1337, 1056, 1019, 1061, 452, 1048, 919, 1058, 1796, 1833, 32, 1611, 556, 1438, 1714, 1204, 958, 525, 1404, 524, 1330, 609, 798, 1774, 550, 910, 1031, 961, 1584, 1742, 1530, 1682, 368, 1054, 1098, 632, 1817, 892, 1084, 1002, 1491, 1502, 1228, 753, 454, 1671, 399, 480, 823, 109, 387, 747, 724, 720, 27, 1087, 5, 1178, 583, 1573, 662, 1242, 1281, 1749, 461, 932, 943, 611, 1719, 1746, 671, 460, 967, 1373, 1395, 424, 239, 65, 1402, 254, 1272, 1457, 452, 1423, 1440, 700, 495, 1339, 1726, 1798, 1408, 1632, 1820, 1181, 788, 1806, 1797, 788, 1705, 1034, 1532, 1458, 943, 1788, 1059, 1364, 1504, 1175, 0, 1735, 767, 1428, 1028, 1021, 1486, 1450, 1422, 1449, 896, 727, 484, 435, 1232, 454, 1455, 1492, 546, 997, 736, 407, 1501, 47, 1741, 1278, 50, 1015, 1013, 440, 1451, 1488, 1627, 1025, 1629, 694, 1628, 154, 384, 1174, 1127, 1200, 234, 1358, 1499, 376, 787, 1096, 1335, 1634, 876, 1236, 1698, 887, 63, 860, 880, 441, 81, 106, 679, 309, 408, 452, 1135, 203, 1303, 1186, 1213, 1481, 1426, 581, 181, 276, 592, 52, 943, 592, 510, 989, 780, 1197, 1476, 1535, 1687, 1549, 1609, 1714, 731, 1536, 1770, 1494, 1219, 1349, 310, 1524, 1612, 903, 1814, 664, 1611, 134, 1801, 1828, 406, 1809, 1761, 0, 117, 1722, 895, 1333, 1209, 757, 1466, 1353, 1409, 592, 1720, 949, 493, 1816, 286, 1765, 1004, 1684, 1004, 136, 775, 1614, 57, 652, 428, 1549, 124, 1407, 1796, 809, 1801, 1156, 1392, 1629, 587, 1647, 1315, 1089, 1494, 1630, 1448, 1423, 1820, 1342, 1726, 1431, 1654, 835, 1360, 1697, 177, 242, 655, 316, 1385, 437, 762, 42, 250, 1573, 1827, 1329, 416, 1465, 1091, 1777, 1028, 884, 1418, 1795, 1073, 1401, 1513, 1786, 1408, 685, 1062, 630, 1064, 470, 247, 1475, 490, 981, 449, 464, 795, 988, 1032, 1420, 734, 642, 641, 1048, 1573, 1524, 1459, 10, 1500, 1098, 1797, 1458, 1448, 1806, 1433, 1284, 1093, 401, 1112, 272, 984, 174, 647, 223, 635, 724, 898, 1809, 1062, 297, 601, 828, 1064, 737, 1733, 1541, 297, 1448, 1100, 1646, 1127, 1501, 239, 1087, 1450, 1353, 1221, 1380, 466, 1524, 1640, 1022, 1763, 1827, 298, 648, 1364, 409, 844, 1018, 213, 1238, 415, 1755, 1462, 1245, 1155, 1344, 1314, 806, 493, 1718, 1402, 1476, 1572, 32, 788, 1411, 1331, 1454, 802, 1218, 1760, 1172, 1013, 533, 1368, 1798, 1691, 1152, 712, 1242, 1777, 213, 870, 1153, 1349, 1108, 1355, 1226, 306, 1160, 110, 1607, 790, 1365, 755, 823, 1365, 1410, 1048, 1450, 1249, 679, 450, 787, 1568, 997, 1455, 402, 306, 879, 303, 467, 1193, 1252, 422, 1271, 1103, 87, 1265, 1032, 113, 1755, 1052, 841, 1654, 718, 827, 1799, 90, 1399, 136, 174, 915, 1133, 259, 1648, 1655, 1310, 1337, 1813, 1282, 1404, 1675, 1355, 1145, 1099, 1471, 675, 1499, 647, 934, 2, 297, 2, 321, 1280, 18, 1420, 295, 63, 1778, 714, 813, 502, 6, 1358, 6, 137, 570, 202, 714, 1034, 46, 430, 543, 67, 979, 357, 1002, 1379, 870, 1730, 1057, 1549, 1667, 1565, 1756, 1145, 1565, 1768, 976, 1741, 981, 1104, 1793, 459, 1411, 1003, 1104, 1682, 964, 1329, 1803, 976, 1476, 516, 793, 1517, 31, 869, 229, 967, 1360, 1655, 799, 534, 674, 672, 735, 1289, 1500, 806, 134, 640, 700, 1709, 493, 1416, 1546, 1345, 1810, 18, 127, 344, 1337, 1517, 1075, 537, 1140, 293, 135, 955, 1356, 860, 658, 1189, 637, 1113, 887, 825, 479, 1041, 1392, 592, 961, 1335, 1082, 1410, 298, 834, 1605, 821, 848, 312, 1791, 640, 1258, 155, 1604, 844, 732, 1161, 92, 1564, 1445, 898, 423, 1332, 1416, 729, 1486, 1792, 1638, 1462, 691, 165, 156, 453, 244, 167, 128011, 128001 ]

[ 128000, 128002, 8586, 596, 701, 5912, 86350, 25879, 11, 889, 14224, 706, 264, 2204, 7645, 11, 37856, 279, 2145, 269, 11, 2204, 6308, 2683, 11, 323, 568, 1101, 706, 420, 13192, 1457, 13, 128003, 128005, 504, 337, 495, 1002, 876, 648, 1515, 1353, 502, 1449, 502, 117, 1452, 202, 1403, 183, 10, 787, 1342, 1410, 1420, 277, 397, 688, 1511, 1496, 1457, 503, 954, 1278, 1336, 641, 945, 706, 1223, 1457, 352, 945, 549, 1190, 2, 1416, 62, 179, 1530, 1091, 1757, 1530, 802, 452, 721, 1795, 1104, 234, 211, 1593, 1134, 1056, 211, 1648, 570, 456, 1380, 1097, 99, 1703, 1416, 1791, 1814, 1386, 1621, 0, 1309, 225, 1346, 665, 252, 1615, 254, 1008, 323, 321, 438, 372, 629, 26, 508, 175, 213, 648, 863, 1422, 790, 972, 1146, 834, 1802, 648, 1520, 1422, 1243, 1826, 1695, 1791, 0, 855, 641, 783, 1769, 411, 1679, 252, 176, 829, 202, 1042, 46, 41, 1270, 110, 1373, 11, 864, 312, 990, 1744, 1545, 333, 1004, 1218, 1500, 1355, 36, 478, 1701, 589, 1526, 270, 441, 1318, 76, 1126, 221, 1173, 997, 146, 516, 36, 1466, 322, 1314, 1032, 1217, 1048, 510, 1315, 599, 877, 362, 920, 870, 122, 687, 231, 409, 1568, 1588, 1077, 1225, 205, 1572, 318, 831, 10, 1087, 1228, 393, 1758, 595, 1107, 658, 1195, 467, 1130, 789, 886, 1372, 1107, 1379, 682, 1710, 132, 1470, 362, 176, 1710, 176, 1818, 1272, 1557, 787, 677, 1463, 1302, 702, 732, 1442, 1605, 34, 1082, 1232, 1310, 931, 787, 181, 917, 1821, 22, 1797, 1024, 1651, 1198, 1129, 794, 909, 1015, 153, 1827, 1411, 1073, 1187, 440, 716, 1007, 1790, 1706, 231, 67, 1395, 543, 239, 1412, 178, 1648, 1370, 1730, 418, 938, 879, 1200, 475, 1445, 570, 1066, 1139, 25, 1780, 498, 1397, 158, 1403, 319, 1332, 356, 1404, 400, 328, 1320, 1030, 1074, 628, 1444, 962, 302, 28, 98, 938, 647, 1319, 1397, 728, 1244, 1821, 1803, 767, 1810, 1496, 493, 1833, 1175, 1649, 1754, 989, 1724, 1230, 1057, 1805, 1687, 1428, 651, 242, 717, 334, 1242, 735, 1629, 600, 875, 1828, 1473, 903, 252, 367, 88, 678, 329, 299, 764, 537, 88, 79, 146, 107, 282, 934, 1636, 1468, 1787, 1041, 153, 375, 46, 320, 715, 592, 636, 1238, 1753, 1141, 1221, 1344, 806, 844, 1424, 1470, 217, 1650, 1651, 1612, 1814, 1307, 1173, 525, 1400, 82, 816, 1307, 115, 1203, 115, 370, 1237, 137, 1245, 1075, 901, 997, 714, 1048, 1457, 1698, 428, 122, 790, 713, 335, 1178, 1477, 493, 828, 452, 385, 874, 1685, 184, 1279, 483, 1239, 1351, 1783, 355, 284, 1158, 266, 1788, 486, 1567, 409, 1091, 430, 492, 1775, 100, 983, 1651, 695, 356, 1295, 1772, 858, 368, 1175, 1498, 1095, 571, 1416, 864, 1496, 1166, 109, 821, 123, 1467, 1313, 134, 495, 1422, 1486, 685, 1303, 628, 746, 408, 1602, 648, 1493, 943, 1687, 191, 1290, 662, 1600, 1723, 1709, 50, 1724, 308, 1264, 1063, 349, 474, 1756, 208, 1162, 628, 402, 1656, 658, 1066, 1444, 1161, 804, 1038, 1172, 1063, 1489, 1735, 1683, 1342, 1788, 1412, 1364, 1385, 782, 1665, 1421, 1139, 1142, 1738, 707, 470, 724, 266, 638, 392, 1200, 1078, 1799, 788, 326, 1510, 1078, 363, 347, 492, 1465, 339, 1271, 903, 236, 1218, 1261, 1129, 945, 348, 577, 1082, 137, 1519, 18, 882, 1429, 996, 644, 1624, 621, 1705, 339, 1032, 47, 1029, 1077, 384, 1492, 628, 1431, 1825, 973, 1518, 1636, 631, 201, 362, 22, 1616, 1810, 1617, 1663, 1771, 1053, 1222, 898, 315, 1407, 1742, 368, 592, 50, 33, 1638, 176, 1664, 1495, 1602, 1284, 1405, 1578, 1360, 399, 1217, 782, 780, 1051, 1556, 1134, 907, 375, 956, 234, 129, 1117, 949, 295, 1015, 882, 70, 1206, 1357, 137, 1689, 1663, 1687, 1793, 1268, 1228, 1165, 888, 1796, 1385, 57, 1541, 320, 1407, 104, 1389, 452, 806, 870, 236, 1792, 658, 839, 905, 870, 1221, 1019, 322, 1766, 1661, 32, 1735, 1680, 495, 643, 165, 453, 244, 128011, 128001 ]

[ 128000, 128002, 7184, 433, 596, 892, 311, 9616, 1124, 311, 264, 5743, 1023, 59432, 13, 5046, 3388, 11, 6041, 1120, 520, 279, 1633, 7314, 315, 682, 892, 11, 584, 617, 82448, 356, 2985, 261, 323, 14662, 86669, 505, 279, 4113, 36231, 5818, 13, 128003, 128005, 257, 766, 712, 1205, 1347, 759, 1372, 1280, 245, 474, 1761, 170, 497, 1394, 380, 107, 1509, 113, 1678, 1808, 599, 52, 1247, 320, 863, 863, 768, 1304, 393, 818, 293, 874, 1047, 100, 1192, 297, 1596, 67, 1294, 1340, 1300, 1026, 218, 1344, 913, 416, 1816, 1118, 796, 1677, 931, 916, 966, 10, 1723, 1757, 1259, 1406, 895, 1365, 1642, 1143, 1317, 725, 1136, 184, 543, 532, 1097, 1340, 998, 384, 1416, 1389, 794, 770, 1700, 454, 1048, 1711, 679, 738, 1287, 1477, 1190, 0, 1636, 488, 1339, 1313, 514, 1537, 1511, 264, 516, 1511, 1774, 1178, 1624, 1489, 1325, 589, 789, 587, 297, 1764, 1314, 1102, 1727, 1732, 1275, 1494, 1190, 1087, 1618, 1191, 1335, 1207, 1452, 983, 748, 1777, 1229, 1434, 1397, 978, 1358, 1119, 1055, 1443, 571, 1086, 57, 647, 1752, 910, 875, 1746, 1172, 277, 629, 1091, 1083, 1404, 940, 835, 1153, 1801, 1620, 1212, 1504, 1331, 1226, 1683, 1420, 991, 1098, 210, 1598, 841, 1044, 217, 1553, 370, 427, 0, 497, 1820, 1097, 317, 891, 886, 1466, 1088, 1716, 1481, 339, 492, 1170, 210, 1733, 179, 1223, 179, 1333, 48, 1434, 1402, 861, 1245, 490, 869, 1259, 1475, 774, 747, 842, 395, 1079, 298, 444, 750, 520, 1380, 631, 877, 1616, 1241, 1615, 129, 1217, 1796, 546, 1818, 1760, 1270, 1662, 1532, 1631, 1545, 726, 1816, 1798, 1057, 363, 1379, 1556, 1352, 999, 1640, 1632, 1214, 1352, 878, 1428, 490, 284, 1112, 762, 666, 338, 795, 258, 169, 1565, 1362, 1282, 1238, 1681, 1160, 1722, 1652, 1758, 1489, 1556, 1735, 613, 1081, 1047, 1102, 1738, 1131, 57, 268, 653, 1329, 996, 455, 1238, 384, 183, 407, 502, 1450, 848, 1646, 485, 1549, 1730, 1143, 871, 520, 882, 518, 827, 1245, 1191, 371, 197, 847, 286, 803, 383, 890, 616, 1400, 1012, 1675, 286, 623, 1396, 1090, 1767, 1441, 98, 1748, 471, 302, 1660, 1166, 1606, 409, 519, 1513, 52, 495, 911, 0, 1699, 1363, 1510, 1228, 1549, 666, 1639, 1428, 1072, 271, 210, 39, 402, 901, 292, 718, 1620, 1395, 1645, 1738, 1646, 1731, 1107, 868, 759, 293, 1336, 821, 1511, 310, 1754, 1715, 1605, 1238, 1769, 1355, 849, 779, 768, 1533, 1450, 1150, 330, 109, 816, 104, 1496, 647, 157, 202, 1593, 382, 721, 1667, 726, 1640, 831, 673, 854, 798, 1783, 305, 787, 1508, 1214, 1472, 344, 1436, 1328, 320, 158, 1335, 833, 753, 1581, 640, 312, 1674, 802, 1047, 1800, 398, 536, 1215, 931, 913, 1259, 1323, 1335, 1514, 1281, 1770, 1794, 1291, 1648, 1157, 516, 1782, 1209, 1063, 628, 855, 695, 359, 239, 956, 39, 36, 1317, 874, 291, 1689, 1325, 116, 1706, 1407, 1463, 1713, 298, 1217, 1535, 1774, 58, 1186, 252, 1358, 665, 657, 1358, 996, 361, 664, 1771, 665, 635, 1496, 664, 1048, 1496, 688, 899, 1221, 530, 1713, 644, 1246, 679, 1336, 1649, 903, 1712, 175, 1444, 1363, 1136, 1653, 1261, 1804, 882, 1125, 660, 1828, 711, 951, 759, 1194, 903, 711, 961, 1532, 610, 1393, 588, 1737, 1457, 1778, 1320, 1785, 1137, 1707, 1331, 202, 1476, 1418, 1710, 1129, 868, 142, 1447, 463, 115, 1263, 1041, 271, 550, 1166, 794, 48, 1671, 1400, 1554, 1754, 736, 1325, 700, 55, 1571, 822, 703, 1284, 1659, 1716, 1091, 1687, 1611, 1258, 1197, 164, 88, 1400, 271, 1186, 115, 1358, 115, 1107, 186, 492, 637, 934, 1395, 909, 1779, 1265, 984, 1043, 1647, 1322, 4, 858, 1192, 1104, 110, 593, 1091, 583, 1168, 116, 707, 367, 86, 1342, 120, 795, 1378, 229, 1168, 1317, 1305, 767, 1658, 1175, 1701, 1705, 1082, 1418, 1496, 701, 1144, 1379, 1322, 1417, 793, 733, 27, 447, 188, 1824, 1793, 1317, 1600, 1129, 1056, 822, 951, 1542, 581, 1237, 592, 887, 328, 934, 943, 809, 1329, 521, 1403, 1019, 990, 616, 1362, 1286, 1252, 1088, 184, 1799, 1748, 1453, 1003, 1121, 437, 724, 1032, 1070, 1227, 66, 676, 1234, 66, 42, 684, 363, 66, 1534, 482, 1658, 813, 1209, 868, 813, 678, 1330, 521, 1304, 860, 1058, 903, 1281, 547, 1680, 678, 1758, 1584, 903, 954, 1078, 1384, 1325, 1068, 1832, 1511, 1591, 1479, 1462, 1731, 997, 475, 1308, 53, 718, 901, 271, 622, 158, 286, 1488, 1517, 1497, 1062, 1483, 1466, 1298, 389, 789, 397, 1593, 1253, 1453, 1455, 1358, 1275, 1521, 836, 1759, 1400, 1772, 1568, 362, 1813, 1271, 1423, 616, 1109, 1411, 607, 1632, 184, 1514, 973, 1568, 1243, 0, 1545, 700, 457, 1389, 1474, 1723, 1439, 1737, 969, 436, 1272, 533, 127, 1547, 1304, 1432, 1823, 1318, 1518, 1224, 1448, 991, 1738, 477, 348, 814, 1823, 583, 1826, 389, 316, 1622, 272, 611, 691, 848, 369, 426, 949, 481, 344, 1366, 1535, 713, 1156, 1035, 864, 946, 1519, 557, 758, 961, 1076, 705, 761, 269, 1802, 1249, 1481, 1492, 1489, 1701, 1825, 1385, 1314, 390, 1227, 816, 1222, 65, 120, 1325, 1344, 1304, 1345, 55, 970, 1422, 1069, 1722, 1056, 1678, 510, 502, 1552, 22, 1742, 1736, 713, 834, 1472, 1524, 1433, 1107, 1460, 1388, 182, 1744, 1447, 1487, 503, 1662, 1625, 1360, 1476, 1454, 587, 1634, 320, 900, 1061, 428, 1384, 1655, 1660, 905, 584, 1504, 1251, 1722, 165, 219, 244, 244, 128011, 128001 ]

[ 128000, 128002, 4516, 14224, 5115, 264, 2766, 2204, 11, 719, 59432, 38913, 13, 128003, 128005, 496, 387, 896, 440, 1479, 527, 493, 1128, 1397, 1298, 105, 1249, 999, 424, 1273, 13, 1219, 1078, 1159, 783, 700, 386, 1378, 81, 951, 324, 697, 1113, 816, 1117, 456, 1217, 803, 885, 95, 322, 911, 429, 1543, 577, 1267, 448, 52, 231, 315, 863, 911, 1395, 1147, 225, 1665, 62, 191, 1808, 1552, 1692, 1794, 1535, 1658, 707, 1322, 855, 80, 51, 892, 1234, 170, 1295, 892, 69, 524, 813, 170, 1718, 1289, 1036, 1417, 1828, 1429, 965, 67, 217, 1008, 1639, 999, 1388, 1819, 1679, 1696, 253, 333, 1298, 367, 456, 927, 1074, 1308, 48, 1349, 1558, 1769, 822, 1793, 1162, 973, 268, 1401, 362, 1271, 948, 1542, 774, 1482, 1593, 1134, 1588, 748, 1233, 1447, 37, 447, 516, 751, 1004, 1318, 632, 286, 1087, 1310, 1423, 628, 858, 1339, 905, 1059, 1103, 1251, 1116, 987, 1730, 1223, 1137, 1098, 1668, 1393, 1661, 1119, 973, 868, 306, 388, 723, 1066, 234, 321, 466, 1073, 1308, 759, 688, 1754, 1331, 1537, 1160, 22, 1486, 1325, 474, 303, 1126, 299, 210, 1477, 393, 159, 1663, 1256, 1243, 1489, 1245, 1784, 1434, 1790, 1121, 1436, 836, 439, 1120, 778, 429, 1705, 1376, 506, 1035, 57, 1673, 409, 1296, 736, 315, 1766, 231, 1524, 1632, 1552, 1796, 1145, 1602, 950, 1627, 1696, 1007, 495, 1684, 459, 1343, 490, 885, 1655, 651, 1614, 986, 591, 16, 670, 799, 692, 486, 257, 585, 591, 281, 1080, 696, 785, 490, 803, 914, 1022, 1514, 1139, 835, 1250, 775, 1409, 1400, 466, 1755, 764, 48, 22, 269, 1313, 917, 1637, 617, 1343, 1019, 1810, 1026, 996, 825, 1353, 1227, 1330, 200, 673, 1312, 787, 905, 205, 1216, 466, 609, 1100, 665, 173, 1351, 498, 1372, 1075, 1485, 1706, 1382, 132, 822, 863, 858, 1088, 18, 927, 750, 556, 1370, 440, 1403, 1681, 1513, 1573, 1383, 1602, 649, 1522, 1354, 1510, 325, 156, 165, 453, 244, 128011, 128001 ]

[ 128000, 128002, 3112, 16870, 73872, 11, 889, 358, 2216, 656, 1093, 2225, 315, 1521, 13, 358, 1093, 16870, 73872, 264, 2697, 2766, 810, 1120, 5353, 358, 3021, 430, 2579, 323, 4251, 1933, 13155, 13, 53934, 42221, 374, 3169, 315, 1093, 264, 24160, 36125, 13, 2030, 379, 12791, 11, 16870, 73872, 323, 65298, 356, 2985, 261, 13, 128003, 128005, 1142, 594, 838, 1297, 1731, 1091, 951, 1741, 886, 1392, 802, 552, 1748, 549, 297, 1342, 1073, 1083, 1139, 395, 1701, 903, 1605, 1056, 1348, 1335, 1528, 1218, 918, 58, 1179, 1504, 1792, 1102, 1537, 1025, 1047, 261, 926, 681, 770, 1767, 600, 1803, 907, 1195, 569, 1261, 221, 1761, 115, 359, 841, 723, 768, 665, 477, 779, 293, 1558, 1161, 52, 407, 927, 52, 1241, 782, 848, 1432, 640, 1354, 1202, 1215, 352, 1745, 510, 9, 58, 467, 1810, 1499, 474, 1831, 1149, 809, 1768, 828, 1705, 1757, 662, 1408, 1824, 1221, 759, 1811, 1659, 1738, 1650, 1652, 1033, 169, 1079, 819, 1145, 1554, 482, 696, 1502, 444, 1543, 600, 727, 1115, 1739, 1140, 1708, 1180, 1184, 868, 1261, 699, 1230, 794, 455, 55, 1451, 149, 1317, 1775, 953, 231, 1443, 709, 123, 310, 1326, 1394, 969, 112, 1788, 328, 462, 1722, 1340, 850, 1565, 1340, 1535, 1376, 1690, 895, 972, 1571, 55, 426, 576, 862, 1312, 1791, 1109, 1341, 1806, 424, 1640, 907, 467, 1714, 1192, 128, 387, 1047, 901, 663, 861, 1216, 728, 460, 42, 396, 1763, 1119, 536, 406, 730, 126, 1084, 112, 861, 721, 1488, 1406, 1740, 895, 1638, 1631, 1800, 1517, 695, 585, 836, 362, 1348, 700, 1535, 1725, 1056, 1532, 1346, 678, 1510, 1804, 1518, 1539, 1451, 1808, 1156, 1167, 1320, 589, 1422, 339, 1186, 764, 660, 577, 1340, 961, 1340, 705, 158, 678, 829, 989, 1188, 107, 617, 980, 1312, 1425, 902, 1158, 405, 1483, 238, 1826, 474, 1224, 860, 1194, 412, 1029, 210, 1462, 1107, 1110, 374, 1734, 502, 725, 1018, 132, 1034, 510, 1637, 938, 1546, 9, 1209, 1450, 116, 1696, 123, 1666, 123, 1785, 514, 1788, 825, 1712, 1093, 1811, 974, 1596, 770, 348, 720, 1653, 590, 1691, 291, 1702, 1304, 114, 995, 58, 1234, 1005, 1426, 798, 940, 1025, 521, 1815, 763, 361, 1699, 1365, 1710, 1014, 1607, 1304, 29, 1465, 806, 1553, 705, 1821, 937, 1245, 1240, 898, 1173, 1811, 1368, 1005, 1692, 1396, 1391, 733, 1137, 1556, 1504, 1057, 1700, 1705, 1082, 1829, 1306, 1238, 1553, 1370, 1748, 1305, 1476, 1114, 1064, 1205, 396, 584, 423, 171, 867, 247, 750, 1035, 1222, 1665, 806, 1702, 631, 1709, 6, 510, 1370, 356, 519, 1621, 736, 1683, 1134, 1611, 708, 1758, 349, 557, 636, 628, 1808, 1620, 1457, 1587, 1653, 1683, 1466, 1119, 847, 1183, 303, 687, 1001, 1073, 1434, 474, 1636, 1740, 695, 765, 1281, 1428, 1013, 1659, 1257, 1618, 545, 1766, 632, 483, 1055, 882, 569, 1563, 972, 1631, 730, 1791, 1794, 1488, 1823, 1812, 1185, 1361, 1045, 384, 922, 1761, 827, 589, 1230, 53, 940, 1385, 1218, 412, 136, 792, 934, 169, 1414, 1229, 763, 831, 651, 80, 864, 322, 1206, 1073, 1122, 1821, 537, 959, 1757, 864, 765, 965, 1349, 545, 1436, 269, 1253, 859, 626, 459, 1323, 1731, 1163, 395, 578, 998, 1479, 699, 1071, 934, 277, 1754, 1263, 384, 1270, 1093, 1774, 1765, 437, 918, 1185, 1041, 549, 1010, 1701, 1129, 1119, 678, 880, 1127, 1345, 991, 600, 508, 656, 1109, 825, 380, 134, 1320, 1272, 1257, 318, 1726, 28, 155, 1588, 863, 648, 1395, 18, 1744, 1687, 1139, 1211, 999, 1187, 1542, 103, 1651, 1488, 62, 1047, 1729, 631, 55, 863, 1636, 1258, 549, 1775, 1382, 1468, 835, 1439, 1620, 1612, 1830, 60, 459, 655, 250, 1510, 5, 1144, 1570, 469, 1448, 735, 199, 1116, 594, 795, 1397, 259, 1168, 1144, 513, 1230, 163, 1128, 1668, 229, 1024, 984, 447, 1528, 681, 1621, 1538, 523, 707, 627, 967, 823, 171, 964, 257, 651, 496, 762, 727, 417, 601, 509, 509, 674, 16, 680, 1246, 505, 651, 692, 423, 566, 16, 169, 641, 704, 378, 16, 567, 486, 20, 680, 986, 1242, 936, 824, 591, 490, 20, 334, 765, 1362, 1023, 1419, 799, 486, 561, 936, 121, 975, 651, 377, 513, 936, 694, 555, 301, 866, 1049, 1684, 1225, 632, 1827, 658, 474, 1411, 147, 1489, 236, 1382, 98, 1370, 1221, 1588, 132, 1439, 943, 295, 1638, 117, 1660, 1642, 1772, 1798, 806, 1006, 1583, 525, 1719, 461, 1336, 1139, 1150, 1009, 492, 1627, 205, 1810, 298, 1394, 1513, 230, 1466, 788, 1001, 1568, 775, 1691, 848, 1757, 6, 1217, 1170, 356, 1701, 1099, 1535, 1668, 1153, 1276, 626, 1720, 711, 203, 1053, 1030, 1005, 1272, 1136, 1434, 1047, 1235, 1750, 804, 1731, 1112, 1192, 1434, 797, 286, 1473, 909, 1094, 1369, 1649, 591, 1096, 1468, 1043, 1056, 546, 1473, 1457, 1175, 1686, 153, 1665, 1505, 687, 1700, 256, 1263, 1050, 850, 519, 538, 1407, 509, 836, 131, 940, 1152, 711, 797, 1487, 172, 569, 471, 393, 1620, 1325, 134, 1790, 1217, 1212, 592, 510, 650, 6, 1027, 1126, 782, 682, 1685, 1552, 1605, 1631, 1012, 1051, 1035, 723, 1281, 999, 1300, 917, 1528, 92, 1662, 1074, 203, 1628, 1177, 926, 1134, 386, 1449, 903, 1076, 1180, 1102, 495, 105, 1573, 475, 1418, 425, 1010, 1801, 1294, 927, 1328, 1130, 173, 1281, 382, 82, 1720, 221, 1098, 210, 1393, 374, 1605, 1462, 437, 1172, 1063, 693, 1363, 328, 1175, 545, 1305, 1217, 647, 1104, 834, 1428, 1073, 1598, 1040, 807, 1168, 1081, 458, 1367, 90, 981, 1108, 437, 964, 91, 169, 1536, 17, 591, 417, 627, 496, 287, 601, 1242, 548, 247, 281, 1007, 454, 416, 964, 865, 1668, 838, 1375, 378, 881, 1475, 316, 1024, 693, 649, 1303, 199, 743, 905, 316, 1430, 490, 1010, 16, 523, 504, 933, 1707, 704, 612, 659, 257, 396, 418, 1038, 978, 1212, 1087, 1057, 1553, 376, 1578, 864, 781, 524, 1476, 768, 1149, 1436, 868, 1073, 1279, 697, 1073, 1421, 664, 687, 1741, 1509, 1113, 823, 1336, 1051, 918, 1158, 1064, 1768, 1414, 1505, 562, 548, 676, 681, 591, 504, 735, 496, 567, 624, 544, 630, 659, 257, 486, 417, 762, 17, 281, 566, 487, 504, 612, 496, 1764, 1590, 704, 845, 686, 620, 651, 1362, 984, 136, 1377, 338, 16, 1142, 624, 496, 534, 659, 585, 516, 975, 799, 861, 257, 680, 1142, 1348, 470, 1181, 779, 905, 1325, 818, 1282, 115, 926, 1053, 339, 682, 479, 1680, 1351, 1366, 1415, 510, 132, 1395, 848, 1781, 1367, 979, 1739, 1209, 400, 1030, 326, 1726, 1337, 809, 1806, 1241, 716, 1370, 917, 1214, 983, 830, 1175, 1584, 26, 1583, 1172, 996, 827, 800, 730, 479, 1245, 370, 1216, 158, 328, 917, 1010, 1459, 1792, 901, 1323, 802, 748, 1811, 1319, 845, 1088, 1061, 1043, 1256, 1194, 847, 1206, 422, 1201, 550, 236, 1656, 370, 1208, 443, 1754, 1493, 655, 1391, 1658, 1495, 822, 1481, 966, 752, 595, 1755, 988, 687, 1545, 1070, 1132, 1823, 307, 864, 1652, 174, 459, 1780, 1601, 128011, 128001 ]

[ 128000, 128002, 11787, 279, 4832, 5743, 304, 856, 9647, 13, 358, 3152, 11, 1427, 520, 1124, 13, 2435, 2351, 8967, 311, 387, 3871, 13, 2435, 2351, 2225, 432, 626, 268, 59432, 13, 1102, 596, 2216, 264, 21648, 422, 814, 7784, 956, 264, 5743, 13, 358, 3152, 11, 2586, 389, 13, 128003, 128005, 278, 526, 1065, 1264, 353, 967, 1119, 1045, 1170, 718, 1486, 882, 1381, 1203, 1325, 1257, 1466, 804, 470, 1397, 37, 378, 1003, 706, 171, 1321, 272, 1693, 1737, 1663, 1725, 1125, 475, 1703, 1335, 810, 301, 963, 266, 957, 1758, 400, 1794, 1793, 1212, 1789, 1260, 81, 1477, 112, 1374, 228, 150, 324, 1463, 1706, 1235, 1710, 1754, 1241, 1304, 1206, 263, 789, 1761, 157, 815, 1099, 1774, 1453, 400, 1661, 1738, 1278, 1803, 1746, 880, 827, 106, 1537, 741, 926, 1596, 1315, 1598, 1254, 1814, 1720, 1174, 747, 1708, 470, 191, 661, 1392, 1136, 1037, 893, 1351, 473, 1384, 242, 607, 1220, 879, 860, 755, 58, 1347, 282, 892, 1059, 1347, 1047, 592, 1491, 1112, 1211, 1373, 1397, 793, 1179, 1214, 965, 865, 1530, 1755, 1684, 361, 878, 1307, 1483, 711, 1103, 847, 1404, 843, 1009, 503, 334, 1342, 611, 1327, 1012, 1335, 742, 1821, 1646, 1257, 1549, 1497, 1138, 951, 1077, 822, 73, 1516, 886, 835, 1658, 1175, 1065, 979, 658, 466, 1781, 1520, 1822, 368, 1425, 1556, 1455, 1237, 1188, 977, 1258, 1535, 1620, 1333, 1448, 671, 1211, 752, 843, 431, 90, 651, 548, 638, 1725, 1288, 936, 1242, 624, 585, 1244, 169, 666, 712, 1478, 790, 1086, 1340, 181, 361, 901, 361, 135, 1257, 1136, 57, 1706, 943, 1356, 1789, 570, 662, 1645, 1618, 679, 560, 809, 218, 430, 1325, 430, 937, 1636, 1166, 1831, 1646, 1607, 1729, 10, 882, 713, 1166, 1001, 1332, 1320, 493, 184, 1612, 1035, 1728, 1530, 849, 892, 1827, 11, 1056, 615, 533, 599, 856, 1627, 1660, 1467, 404, 510, 870, 253, 1226, 685, 1180, 1647, 276, 1564, 0, 1664, 1084, 782, 1111, 1117, 1190, 380, 996, 1483, 1117, 642, 1437, 1797, 1155, 1788, 1825, 1356, 872, 1814, 1123, 1665, 41, 1197, 1238, 935, 1099, 733, 663, 661, 40, 717, 1419, 5, 1478, 334, 259, 743, 1123, 1028, 1451, 1118, 999, 1748, 1305, 1329, 1525, 924, 1568, 86, 724, 513, 638, 704, 670, 630, 561, 149, 1177, 1630, 303, 1425, 1410, 114, 563, 86, 414, 995, 955, 462, 1540, 1232, 1307, 1398, 200, 214, 1381, 1611, 1136, 515, 1728, 1729, 1827, 1344, 1277, 1260, 1443, 1190, 1042, 1310, 386, 321, 1226, 1258, 552, 940, 1193, 349, 618, 1486, 1139, 552, 48, 1214, 1457, 1452, 648, 1394, 1535, 129, 333, 1379, 1403, 466, 1237, 1364, 1345, 789, 640, 683, 1828, 117, 197, 1808, 1178, 809, 1739, 1135, 737, 679, 1275, 57, 1172, 93, 1309, 718, 1247, 617, 1646, 1417, 1006, 1282, 1745, 1043, 393, 610, 1342, 474, 1344, 1232, 76, 1203, 813, 768, 1671, 90, 1043, 1630, 1037, 546, 1774, 1367, 411, 865, 1058, 863, 1708, 982, 750, 973, 938, 1323, 1769, 510, 1741, 713, 1166, 1495, 1552, 1805, 1669, 1617, 1123, 837, 1404, 1108, 1009, 1779, 1130, 231, 1079, 1104, 1451, 1668, 1349, 1421, 1033, 881, 1063, 995, 772, 40, 423, 387, 879, 1711, 1077, 1731, 479, 1434, 1410, 132, 443, 1238, 1485, 1816, 1476, 1650, 1003, 1642, 1213, 1279, 1751, 1453, 1609, 1789, 1592, 166, 22, 50, 1450, 1665, 1310, 1764, 1078, 32, 844, 536, 32, 2, 733, 143, 471, 1083, 197, 155, 395, 719, 849, 1212, 367, 1406, 889, 1058, 634, 822, 1670, 356, 1422, 239, 253, 1720, 231, 1331, 1192, 1238, 1825, 1757, 884, 1731, 1646, 1375, 1304, 1225, 1813, 935, 418, 883, 516, 902, 1115, 1611, 772, 716, 1327, 1673, 1770, 767, 1322, 239, 1354, 751, 1654, 281, 513, 1504, 1752, 839, 1621, 1786, 41, 333, 1827, 1814, 1546, 1304, 1400, 1642, 1304, 1226, 1815, 1330, 1421, 1315, 818, 1130, 1490, 1745, 1707, 987, 459, 449, 396, 1043, 60, 516, 861, 624, 513, 487, 513, 659, 633, 1185, 1623, 1293, 1780, 1466, 1077, 1666, 1298, 1008, 1410, 1674, 1352, 1211, 1814, 1036, 1511, 1784, 1714, 1132, 1174, 610, 95, 1165, 783, 1633, 1414, 1133, 563, 1793, 1483, 1707, 1291, 1453, 1454, 1311, 475, 1318, 1291, 53, 1761, 806, 1399, 1832, 1019, 1532, 653, 636, 876, 1354, 1127, 1440, 1382, 709, 1639, 1650, 1647, 943, 1818, 1486, 1177, 82, 1801, 1171, 748, 1494, 1509, 1131, 1196, 1447, 1593, 1483, 1282, 1437, 1397, 1327, 1499, 929, 1092, 1301, 1448, 555, 156, 219, 219, 128011, 128001 ]

[ 128000, 128002, 15546, 1288, 584, 733, 449, 1828, 30, 2650, 922, 89140, 4290, 11, 889, 358, 4510, 574, 279, 1176, 36125, 311, 387, 6004, 505, 279, 63911, 71596, 13, 1283, 14224, 9922, 304, 279, 1176, 5818, 11, 499, 1440, 11, 1578, 11, 264, 961, 315, 279, 24160, 128003, 128005, 345, 401, 287, 1721, 1708, 1000, 1753, 1606, 728, 909, 319, 145, 1742, 1439, 807, 1620, 485, 1615, 949, 812, 882, 239, 739, 1126, 645, 962, 719, 1041, 972, 774, 1340, 949, 1394, 716, 1380, 1632, 1736, 1300, 1533, 217, 127, 802, 1754, 1451, 835, 1693, 344, 1829, 1018, 116, 770, 938, 827, 352, 1812, 1485, 475, 1598, 1651, 629, 1346, 1253, 913, 640, 205, 1715, 1646, 1625, 1669, 1766, 1100, 1176, 1661, 217, 1833, 1332, 1156, 1226, 1423, 1156, 1214, 917, 1817, 1729, 1700, 4, 848, 0, 4, 1777, 1517, 1200, 1105, 497, 949, 408, 105, 205, 203, 1711, 719, 1493, 1272, 797, 502, 521, 941, 1326, 1127, 1022, 483, 1409, 1701, 1105, 126, 1748, 1245, 1675, 1180, 173, 705, 1259, 711, 83, 1711, 1073, 310, 1675, 1040, 1469, 1466, 239, 701, 510, 1656, 1716, 719, 125, 935, 117, 98, 1754, 1344, 875, 1677, 1633, 1702, 1691, 1356, 1285, 711, 589, 1485, 271, 82, 1212, 370, 949, 1382, 126, 1818, 1226, 1301, 1043, 1489, 1379, 409, 1345, 1501, 636, 158, 1779, 183, 629, 1475, 1718, 1156, 286, 1507, 729, 929, 883, 460, 1714, 86, 1057, 1826, 1211, 1342, 1007, 1432, 1766, 1079, 1059, 1419, 516, 1037, 523, 223, 772, 1133, 1731, 816, 1047, 529, 809, 1701, 461, 1083, 833, 203, 702, 1395, 835, 272, 1064, 1464, 1688, 1487, 1162, 1240, 1240, 683, 631, 1058, 1761, 347, 1108, 648, 748, 1570, 1649, 959, 1234, 1306, 1297, 234, 48, 1552, 759, 1587, 183, 1394, 1688, 333, 1420, 1014, 1230, 248, 1789, 882, 1712, 844, 368, 1404, 863, 1798, 1496, 399, 1412, 1403, 1275, 1200, 1350, 738, 678, 126, 1267, 184, 600, 1175, 1241, 1221, 129, 52, 1027, 315, 1337, 1212, 1238, 1504, 1212, 1432, 1303, 1005, 1208, 1261, 173, 1272, 886, 569, 1629, 1259, 699, 856, 79, 730, 1351, 764, 787, 1638, 1218, 936, 1511, 1494, 947, 1682, 1227, 1127, 956, 800, 147, 55, 1166, 210, 1517, 393, 55, 1661, 1726, 1464, 1162, 1736, 1668, 1364, 1355, 1476, 1031, 429, 950, 18, 120, 962, 1081, 1628, 1766, 86, 1327, 1646, 1621, 409, 1337, 415, 372, 1476, 889, 911, 1124, 347, 104, 877, 1780, 372, 1613, 1684, 636, 1792, 1160, 1330, 340, 1729, 1093, 794, 1482, 1686, 759, 835, 1494, 520, 1084, 1215, 1126, 158, 1446, 1379, 1047, 830, 849, 123, 1581, 802, 1451, 775, 348, 1336, 636, 848, 1439, 7, 384, 1238, 409, 1808, 636, 1238, 1741, 713, 1660, 1284, 1580, 1321, 1164, 1059, 1289, 989, 1798, 1099, 117, 1801, 1496, 1287, 1822, 1057, 1769, 1279, 1370, 1780, 1305, 1669, 832, 676, 1080, 526, 1479, 1419, 1130, 1433, 873, 1235, 617, 820, 1542, 317, 1035, 29, 875, 368, 629, 924, 966, 564, 1360, 1301, 80, 578, 681, 495, 510, 1679, 1617, 1720, 977, 1745, 1235, 557, 1450, 700, 1787, 178, 621, 1644, 782, 917, 1250, 1596, 932, 1225, 617, 1768, 1394, 473, 749, 175, 1588, 175, 1753, 1622, 361, 1815, 626, 1697, 997, 1433, 1431, 461, 1357, 1473, 764, 1490, 1127, 1611, 1047, 1175, 1455, 1042, 1205, 1532, 738, 319, 310, 830, 1820, 250, 578, 1209, 60, 957, 1590, 1360, 1638, 229, 1099, 1195, 469, 878, 1213, 964, 1638, 1049, 772, 1154, 548, 694, 765, 121, 1512, 630, 1525, 1797, 631, 55, 1383, 570, 829, 1618, 791, 1122, 1029, 115, 1823, 152, 1226, 1263, 1286, 1339, 984, 685, 614, 1465, 549, 662, 176, 1596, 1450, 409, 714, 328, 409, 1349, 1470, 1820, 940, 644, 884, 29, 1760, 479, 1803, 1147, 556, 1312, 1825, 1740, 936, 1687, 1658, 1411, 745, 1275, 793, 57, 728, 802, 629, 1120, 813, 1050, 116, 928, 1081, 837, 937, 1631, 134, 1487, 1016, 1042, 1432, 1520, 1272, 32, 1075, 1040, 969, 1748, 368, 1761, 493, 1711, 1282, 231, 1667, 1436, 368, 1714, 849, 1091, 1303, 610, 916, 1412, 217, 455, 1497, 1365, 1333, 609, 1488, 1047, 687, 1497, 1238, 254, 848, 592, 295, 231, 631, 1718, 1573, 1439, 965, 821, 774, 1469, 1166, 1081, 1344, 1759, 466, 1664, 203, 1751, 98, 1824, 1715, 1819, 750, 1141, 1108, 746, 184, 952, 1786, 962, 1272, 1670, 26, 1311, 1652, 1495, 883, 501, 405, 674, 1284, 548, 1288, 505, 638, 620, 229, 168, 878, 396, 881, 1714, 630, 689, 1185, 885, 1214, 676, 28, 502, 1743, 1518, 438, 438, 1713, 378, 1617, 1738, 42, 1617, 1142, 1543, 1404, 1013, 1631, 58, 1420, 1175, 787, 1110, 1801, 1330, 1647, 1656, 1780, 1429, 1453, 1358, 1429, 1435, 1450, 1141, 1110, 1777, 1019, 1432, 66, 568, 1230, 1686, 750, 841, 1167, 911, 664, 1005, 1766, 466, 1395, 1733, 1698, 725, 1440, 1477, 1309, 1443, 587, 1195, 1049, 1330, 1428, 1006, 1305, 1400, 1658, 1458, 1172, 699, 1223, 1147, 801, 637, 1780, 1204, 996, 1167, 286, 1803, 806, 1367, 593, 1819, 1831, 900, 1064, 1819, 1352, 1656, 905, 95, 1360, 1662, 679, 304, 1498, 1422, 850, 1645, 1776, 1307, 1247, 461, 1087, 164, 1132, 254, 1325, 1243, 19, 1662, 1434, 714, 1436, 440, 67, 1034, 398, 870, 1325, 1042, 962, 834, 1568, 1587, 1491, 0, 1104, 1797, 990, 1260, 1399, 1333, 1139, 972, 554, 931, 1494, 1818, 787, 1228, 853, 1024, 1026, 1329, 835, 1532, 1274, 1339, 1164, 1668, 219, 156, 244, 244, 128011, 128001 ]

[ 128000, 128002, 26840, 11, 1633, 38678, 389, 1063, 315, 1521, 5144, 369, 279, 25761, 11, 719, 77085, 433, 1120, 43333, 1139, 856, 2010, 13, 128003, 128005, 1716, 1599, 486, 1769, 995, 516, 1657, 964, 651, 180, 513, 625, 1152, 17, 1231, 177, 436, 473, 1807, 1627, 1594, 1627, 368, 1708, 895, 1778, 1306, 349, 411, 500, 143, 973, 181, 55, 1325, 577, 583, 461, 510, 531, 1029, 1533, 514, 483, 807, 1012, 213, 455, 1740, 849, 648, 834, 1631, 18, 1620, 1261, 4, 1141, 1447, 865, 1210, 1496, 1806, 1347, 1302, 1234, 957, 1777, 709, 1362, 1619, 1472, 101, 1554, 751, 512, 105, 804, 846, 1056, 607, 1714, 502, 811, 726, 29, 893, 713, 455, 1703, 409, 662, 554, 952, 1800, 154, 1729, 1241, 713, 1774, 1018, 1535, 1741, 1146, 1122, 1666, 1139, 825, 1547, 1286, 949, 1366, 1621, 864, 1812, 546, 1008, 1644, 1444, 1643, 1552, 368, 1485, 1399, 1113, 813, 1790, 1056, 1368, 1743, 1800, 361, 1693, 1350, 1653, 15, 648, 298, 1468, 1651, 809, 1795, 774, 1548, 1022, 1555, 1047, 1693, 836, 1413, 1596, 1635, 319, 1813, 92, 1273, 920, 1381, 1563, 1802, 700, 667, 577, 1688, 1653, 1645, 1828, 1596, 1377, 1047, 786, 907, 1146, 1326, 1300, 1654, 997, 1664, 319, 737, 399, 1725, 123, 928, 98, 845, 1403, 1048, 176, 687, 175, 122, 1447, 1342, 1139, 1489, 999, 1483, 1324, 1295, 0, 644, 1565, 1326, 1056, 355, 949, 1813, 733, 447, 1185, 1745, 595, 1748, 1798, 1713, 1716, 1196, 809, 1312, 1382, 688, 495, 892, 1706, 1018, 203, 778, 787, 1791, 1217, 532, 1527, 1340, 716, 1639, 1445, 1243, 1529, 52, 609, 502, 1682, 1778, 1617, 1607, 1123, 595, 532, 1549, 949, 1764, 1711, 1673, 1255, 930, 1162, 1298, 632, 1136, 50, 1325, 1002, 1473, 286, 1833, 783, 6, 1257, 22, 1756, 1825, 1400, 1728, 1741, 117, 1103, 1790, 1196, 506, 1732, 225, 1671, 750, 1774, 30, 688, 1313, 980, 789, 1530, 938, 564, 1007, 1168, 42, 231, 1798, 1793, 822, 1553, 1313, 1349, 1144, 640, 1589, 1118, 1024, 594, 584, 247, 171, 1570, 1486, 1245, 1470, 1200, 858, 749, 969, 530, 820, 1788, 1463, 713, 0, 1027, 253, 1511, 62, 927, 1382, 308, 123, 1670, 382, 1280, 1506, 700, 1457, 14, 181, 1217, 202, 1825, 1691, 634, 1747, 0, 1682, 1817, 1459, 723, 1326, 697, 614, 1253, 1072, 565, 39, 116, 1395, 956, 1083, 1742, 1526, 1062, 929, 1682, 1565, 1002, 411, 1350, 1349, 1051, 1411, 1463, 126, 1004, 109, 1028, 1099, 1468, 268, 1629, 1126, 1245, 364, 374, 1027, 1166, 1136, 870, 1253, 1308, 773, 934, 1600, 1180, 1804, 382, 524, 604, 1066, 1310, 303, 1238, 958, 1275, 549, 95, 1056, 1497, 592, 1782, 932, 1682, 1785, 1199, 1714, 1455, 1621, 219, 165, 453, 219, 453, 167, 128011, 128001 ]

[ 128000, 128002, 4897, 1120, 43333, 1314, 1139, 856, 2010, 13, 358, 574, 1093, 11, 10035, 11, 430, 596, 23718, 1030, 13, 6914, 596, 733, 13, 128003, 128005, 544, 762, 199, 924, 1206, 95, 1221, 1399, 1139, 700, 36, 0, 512, 312, 634, 1166, 1653, 656, 779, 1146, 467, 1676, 213, 295, 202, 782, 1833, 333, 1737, 1826, 1513, 1832, 1573, 1510, 692, 1734, 162, 366, 1097, 239, 886, 1075, 955, 53, 186, 306, 816, 956, 441, 271, 215, 321, 466, 828, 1752, 1171, 1799, 1611, 1483, 1741, 715, 1704, 1232, 1004, 312, 1015, 312, 635, 1029, 1367, 560, 125, 1393, 232, 252, 767, 1047, 701, 217, 1386, 383, 203, 969, 782, 310, 1146, 520, 763, 1002, 478, 1687, 73, 41, 800, 73, 1029, 248, 1012, 76, 1380, 186, 1830, 697, 1411, 565, 1689, 579, 32, 570, 610, 1682, 370, 1143, 580, 556, 841, 1607, 725, 1323, 1438, 412, 1256, 1100, 147, 1481, 142, 1611, 855, 774, 1686, 987, 1651, 1437, 546, 132, 485, 519, 1186, 1086, 349, 949, 384, 41, 1588, 788, 1620, 1631, 1833, 1554, 976, 1716, 1599, 1701, 1007, 473, 750, 720, 1091, 65, 695, 47, 474, 104, 309, 370, 162, 82, 352, 152, 254, 366, 309, 424, 687, 609, 1015, 0, 320, 1166, 882, 1374, 1476, 1217, 1701, 1429, 1259, 550, 1778, 759, 1663, 1646, 1778, 1556, 1376, 782, 546, 631, 1735, 1139, 1664, 820, 1459, 1194, 1245, 221, 1261, 589, 483, 446, 847, 477, 1040, 408, 1485, 429, 1621, 723, 835, 1033, 719, 1770, 1129, 656, 123, 158, 454, 951, 1282, 39, 1374, 1423, 9, 1178, 536, 1723, 1172, 894, 869, 1317, 594, 1064, 1063, 981, 1282, 1771, 1313, 1753, 950, 1088, 1785, 1495, 1436, 1705, 999, 1711, 1418, 989, 1824, 1448, 1370, 1658, 1028, 1803, 223, 869, 80, 169, 1771, 396, 585, 1288, 603, 957, 1378, 600, 1168, 779, 938, 576, 1749, 1394, 1620, 344, 714, 22, 333, 1732, 1592, 1545, 1413, 1302, 1493, 1054, 714, 506, 34, 260, 1357, 719, 907, 834, 945, 917, 376, 1008, 1755, 154, 1197, 255, 683, 213, 1213, 444, 195, 1622, 480, 195, 174, 74, 1775, 617, 122, 728, 249, 1800, 255, 952, 1744, 1635, 1630, 598, 785, 1517, 1650, 54, 165, 219, 244, 244, 167, 128011, 128001 ]

[ 128000, 128002, 3112, 1566, 719, 539, 3325, 11, 3604, 912, 11, 2646, 38824, 11, 539, 1566, 11, 420, 374, 22862, 75, 38800, 889, 596, 279, 8706, 36125, 315, 1124, 682, 13, 1283, 596, 2751, 264, 8941, 315, 42742, 709, 1070, 323, 568, 596, 5128, 1790, 14918, 8967, 369, 279, 4027, 13, 128003, 128005, 1570, 680, 1410, 874, 1308, 328, 1180, 1819, 452, 1372, 1022, 202, 931, 1429, 903, 263, 818, 882, 245, 1087, 940, 135, 1083, 1022, 162, 1427, 104, 1497, 1488, 52, 1780, 753, 428, 1026, 409, 1449, 1409, 700, 127, 1752, 1647, 1301, 1458, 1258, 1726, 1372, 41, 1649, 1087, 835, 48, 1369, 1709, 1337, 1159, 429, 380, 961, 291, 422, 599, 330, 294, 159, 254, 245, 708, 248, 346, 1680, 714, 1743, 1394, 157, 749, 844, 1366, 495, 1588, 1737, 1699, 1164, 1424, 998, 475, 52, 1422, 1471, 117, 1494, 1718, 1407, 1243, 1485, 191, 1431, 57, 949, 1073, 1235, 907, 847, 1206, 1086, 1310, 57, 297, 1766, 521, 828, 1718, 983, 1796, 1350, 644, 1380, 1817, 1416, 126, 662, 1720, 1770, 1378, 315, 1533, 197, 920, 1725, 335, 449, 529, 1713, 245, 1323, 1747, 687, 1626, 863, 315, 1364, 328, 1513, 1385, 1097, 1431, 934, 46, 614, 95, 868, 475, 382, 1074, 1304, 1468, 1019, 1364, 400, 1732, 858, 1724, 1313, 0, 816, 576, 895, 1450, 742, 1627, 184, 758, 931, 1490, 1411, 783, 940, 1697, 1499, 741, 1444, 1640, 1462, 729, 1809, 1423, 1352, 1166, 1509, 1439, 825, 1735, 547, 727, 524, 1823, 1068, 1720, 1472, 679, 1491, 1030, 1739, 961, 1483, 996, 1312, 901, 1680, 860, 1310, 1502, 1647, 1422, 1336, 1476, 935, 1007, 1054, 671, 459, 1421, 163, 837, 963, 651, 1669, 449, 724, 387, 967, 1176, 1569, 1465, 1643, 513, 957, 1244, 936, 845, 1305, 644, 59, 781, 803, 763, 1709, 1488, 1403, 95, 1731, 1113, 777, 1078, 1423, 467, 1204, 1103, 1056, 1326, 1142, 1453, 836, 169, 926, 1743, 991, 1433, 65, 874, 1200, 107, 1611, 386, 1097, 997, 847, 1235, 983, 1212, 1444, 1492, 1563, 648, 1027, 183, 1422, 736, 1616, 1649, 736, 1641, 1434, 1664, 1145, 1707, 436, 1268, 1699, 1461, 1397, 636, 627, 1170, 1654, 1704, 1175, 1628, 1303, 1450, 1721, 1393, 1634, 717, 649, 967, 676, 1523, 1803, 79, 753, 1445, 700, 63, 127, 1283, 320, 320, 198, 230, 1476, 1403, 648, 376, 1678, 6, 774, 1679, 1300, 1625, 1744, 1759, 1690, 893, 1284, 214, 611, 1733, 1786, 628, 648, 1047, 407, 1337, 1473, 1287, 688, 1488, 856, 1472, 1732, 1810, 1436, 1155, 456, 234, 1698, 1056, 780, 1140, 1811, 1382, 700, 1646, 1766, 1373, 649, 368, 546, 1027, 349, 904, 302, 155, 1676, 1282, 1300, 977, 1400, 58, 1553, 1296, 126, 1249, 1459, 1432, 648, 506, 426, 1004, 850, 546, 1415, 652, 52, 519, 1552, 1660, 1360, 1547, 1327, 1007, 1402, 1347, 205, 1421, 205, 1744, 1490, 627, 1316, 444, 762, 42, 90, 460, 752, 150, 460, 177, 1236, 651, 216, 265, 1321, 1740, 1055, 543, 51, 488, 1618, 596, 741, 298, 310, 1779, 849, 1680, 996, 890, 1127, 52, 376, 1620, 154, 137, 556, 129, 502, 1436, 183, 1817, 1313, 1700, 1298, 524, 955, 1073, 215, 98, 1412, 210, 1794, 587, 616, 1422, 874, 617, 1707, 1813, 41, 1104, 719, 1108, 1110, 82, 1320, 573, 424, 1459, 441, 1008, 1793, 1526, 1268, 1314, 1806, 1057, 1532, 1083, 1115, 884, 341, 1793, 483, 877, 1351, 679, 1505, 1770, 1301, 674, 1475, 1193, 1206, 991, 1358, 402, 474, 695, 234, 252, 1787, 1059, 1280, 1336, 1817, 679, 1650, 1556, 1787, 1453, 1714, 93, 1630, 844, 1081, 1790, 1791, 182, 1440, 184, 1420, 934, 1509, 614, 1347, 730, 1402, 839, 1353, 1190, 102, 1045, 1150, 521, 1307, 1444, 907, 971, 312, 1108, 953, 516, 1162, 936, 1720, 1826, 1489, 1364, 1783, 1412, 1349, 1704, 1036, 1687, 1033, 1088, 1114, 1225, 1225, 490, 1255, 563, 548, 8, 538, 487, 704, 1071, 1366, 1360, 775, 377, 679, 325, 127, 654, 1618, 1600, 399, 1719, 1543, 1303, 477, 22, 571, 1046, 1086, 146, 1220, 1131, 402, 1180, 984, 110, 1197, 1291, 157, 1256, 733, 966, 1765, 936, 1367, 519, 1436, 52, 1797, 1410, 1282, 1665, 1404, 1232, 1187, 1180, 607, 1327, 184, 810, 1393, 611, 976, 777, 670, 828, 795, 109, 559, 1213, 251, 1639, 1197, 1052, 1663, 982, 1340, 959, 348, 978, 637, 1397, 203, 404, 1340, 832, 400, 706, 426, 1630, 1373, 1552, 1387, 26, 882, 1316, 83, 1663, 931, 657, 782, 1206, 1487, 1827, 1093, 1328, 1704, 1414, 1739, 1737, 1770, 1565, 1260, 1770, 446, 1816, 592, 708, 1441, 560, 1424, 346, 1226, 552, 990, 352, 902, 39, 832, 604, 1014, 966, 1786, 932, 1254, 1517, 188, 1099, 978, 1279, 362, 891, 1329, 1701, 1211, 454, 1704, 1028, 1057, 984, 431, 1038, 470, 694, 331, 971, 1242, 936, 670, 418, 693, 1774, 400, 1206, 1410, 1785, 903, 1359, 1416, 344, 1389, 1021, 1427, 1549, 1684, 182, 431, 1726, 362, 805, 521, 418, 1506, 319, 1778, 749, 122, 1436, 1283, 328, 1714, 1363, 1359, 1703, 1529, 1145, 1522, 1609, 585, 101, 1380, 766, 1512, 751, 16, 505, 601, 450, 513, 751, 1362, 970, 1338, 1689, 86, 1114, 1352, 744, 851, 490, 976, 1793, 1112, 1192, 738, 1156, 1296, 1357, 595, 1518, 952, 529, 770, 668, 1034, 688, 1266, 117, 662, 1176, 632, 1109, 1532, 855, 1056, 1230, 621, 1422, 385, 1425, 231, 1331, 230, 493, 1743, 18, 1795, 1810, 1393, 86, 1408, 1172, 807, 704, 1121, 1092, 793, 1511, 1801, 669, 438, 1525, 694, 905, 465, 630, 627, 1016, 680, 1142, 257, 681, 505, 351, 603, 20, 513, 673, 496, 568, 692, 544, 729, 1121, 1306, 389, 914, 853, 1359, 959, 694, 1340, 1093, 767, 1161, 203, 1769, 726, 1399, 201, 143, 856, 1532, 1012, 1256, 529, 742, 1430, 1300, 312, 1419, 1403, 269, 1819, 1139, 203, 1644, 1300, 1336, 398, 1312, 1091, 1674, 1818, 362, 709, 1120, 1459, 1796, 870, 593, 591, 1075, 1795, 944, 1083, 596, 1258, 1056, 1395, 521, 454, 1015, 1718, 1221, 1408, 1498, 17, 1607, 415, 1300, 6, 1217, 1448, 1580, 1634, 1543, 1777, 826, 1216, 1264, 302, 1707, 1624, 1625, 362, 1741, 1367, 1238, 1479, 1476, 485, 1432, 1668, 1318, 427, 450, 635, 304, 1323, 199, 783, 287, 730, 591, 248, 957, 965, 1701, 1100, 1738, 959, 65, 1687, 1032, 1351, 774, 1252, 1519, 966, 1415, 131, 1323, 1475, 187, 1295, 852, 1417, 1407, 765, 182, 1120, 1784, 47, 1359, 1794, 687, 274, 1789, 320, 795, 1680, 931, 785, 1013, 1450, 1676, 1422, 231, 1067, 1451, 1685, 1360, 333, 1108, 1328, 1173, 829, 736, 306, 1261, 552, 320, 708, 1532, 371, 1448, 76, 1250, 93, 1168, 380, 86, 282, 1138, 549, 644, 901, 1473, 1328, 549, 783, 1379, 972, 1104, 1371, 1668, 1382, 810, 1259, 1809, 219, 165, 244, 244, 128011, 128001 ]

[ 128000, 128002, 849, 1303, 84, 39672, 77072, 519, 955, 3245, 1405, 568, 9711, 704, 279, 27176, 14224, 449, 813, 11191, 13192, 13, 128003, 128005, 509, 334, 674, 1168, 1207, 1797, 1403, 1100, 746, 1069, 1634, 409, 1485, 356, 315, 1053, 198, 1027, 636, 448, 1430, 990, 19, 818, 1057, 1040, 200, 1341, 990, 1082, 217, 1381, 1021, 175, 455, 1433, 938, 1022, 629, 1705, 1002, 536, 1825, 1018, 1503, 631, 1018, 1351, 335, 1395, 1034, 308, 1391, 1256, 217, 647, 999, 1296, 557, 1481, 648, 647, 1306, 57, 853, 1519, 443, 1092, 1382, 662, 1479, 856, 534, 813, 673, 934, 776, 1160, 1019, 1688, 1394, 749, 315, 719, 1067, 1412, 1165, 1303, 173, 1666, 595, 545, 1278, 607, 1282, 1295, 844, 803, 1082, 742, 1205, 1444, 1128, 903, 1622, 1027, 1463, 1238, 1341, 1225, 1365, 1719, 1659, 1789, 409, 1241, 1313, 639, 1223, 1125, 386, 1494, 927, 1686, 599, 1058, 849, 917, 1408, 1769, 1727, 239, 1546, 1309, 176, 1681, 1405, 1580, 1477, 1245, 656, 191, 344, 412, 1724, 549, 1312, 980, 864, 1502, 989, 1764, 1326, 1729, 1490, 1665, 1436, 1449, 781, 1690, 1471, 1772, 1045, 1120, 1069, 733, 1325, 742, 1731, 1382, 1167, 1303, 1240, 1341, 1699, 1147, 1461, 1436, 804, 1451, 1611, 1255, 1341, 1573, 438, 529, 1512, 1830, 1240, 1510, 1645, 175, 1737, 1453, 786, 86, 676, 811, 561, 1033, 216, 914, 396, 523, 1648, 174, 1480, 1480, 936, 561, 676, 754, 1343, 1384, 1775, 1573, 1581, 1265, 1821, 1381, 1663, 1007, 37, 762, 891, 1707, 1278, 1277, 1223, 926, 1342, 1014, 758, 1321, 950, 233, 631, 1770, 19, 1200, 1326, 1282, 1304, 931, 1791, 1433, 1121, 758, 1813, 1422, 1766, 1443, 1448, 949, 1678, 231, 1777, 989, 1354, 938, 1027, 1223, 1297, 880, 1213, 79, 1005, 1154, 441, 931, 1118, 997, 595, 548, 797, 714, 1456, 1089, 1498, 792, 29, 1644, 362, 448, 510, 1671, 1466, 1066, 1268, 934, 665, 1108, 524, 1197, 1275, 565, 1079, 1058, 1075, 859, 1222, 1230, 1124, 1524, 1357, 117, 987, 1175, 952, 1535, 132, 1300, 213, 631, 788, 4, 1372, 1770, 1221, 1369, 884, 191, 1817, 1460, 1231, 1326, 686, 937, 1752, 1013, 1772, 1595, 1248, 938, 1738, 632, 1790, 1453, 1374, 749, 1677, 654, 714, 1678, 731, 1799, 1255, 1431, 1338, 1083, 1349, 160, 806, 1064, 1203, 1141, 522, 1746, 446, 1188, 1086, 208, 1181, 1280, 1259, 1554, 1690, 230, 631, 556, 198, 546, 1410, 1407, 1304, 868, 1546, 1581, 1808, 1678, 1749, 1451, 1735, 869, 1585, 1293, 1642, 409, 714, 543, 1519, 1481, 117, 1316, 1264, 570, 632, 4, 1261, 1819, 483, 1724, 1058, 930, 639, 98, 1772, 1444, 1785, 1573, 338, 1822, 1820, 1259, 581, 1456, 1730, 156, 165, 244, 244, 128011, 128001 ]

[ 128000, 128002, 4516, 11, 44844, 11, 420, 832, 2751, 312, 5621, 4778, 369, 17781, 76, 977, 449, 264, 3776, 19689, 11, 1314, 1070, 13, 128003, 128005, 1288, 939, 1474, 1549, 1621, 654, 1217, 344, 357, 1364, 889, 335, 1818, 1097, 13, 488, 1409, 1057, 1195, 79, 618, 1384, 1355, 1200, 200, 488, 480, 1752, 1201, 836, 125, 326, 1624, 985, 102, 1416, 1005, 958, 576, 155, 1477, 1040, 1426, 1136, 1521, 1246, 1206, 895, 787, 659, 1342, 1019, 1359, 1649, 835, 820, 1732, 804, 1035, 98, 1360, 1588, 734, 1021, 836, 48, 176, 1241, 1141, 529, 195, 1541, 69, 155, 41, 293, 74, 1389, 1021, 687, 949, 416, 46, 570, 7, 137, 1053, 213, 549, 962, 213, 782, 769, 202, 726, 10, 1310, 1412, 1624, 1830, 867, 1617, 1479, 1529, 1145, 928, 1551, 933, 1557, 1538, 584, 1557, 377, 712, 417, 630, 1803, 1743, 1196, 1452, 1604, 1663, 1485, 1746, 1455, 1624, 1697, 920, 1460, 98, 949, 1330, 1230, 1361, 1698, 529, 312, 1493, 1320, 1260, 1298, 175, 1365, 298, 1515, 1520, 127, 988, 421, 1769, 1503, 1313, 870, 610, 293, 36, 1350, 1182, 958, 270, 433, 1402, 800, 115, 1258, 637, 1280, 1180, 1235, 1464, 1051, 1310, 1234, 42, 876, 1829, 1081, 981, 1221, 709, 1268, 1453, 1493, 47, 748, 1720, 1217, 1294, 780, 1452, 1509, 1221, 815, 1742, 1460, 850, 1344, 1463, 1526, 483, 1443, 1221, 1366, 1537, 1625, 644, 1751, 833, 1227, 448, 29, 1689, 1616, 1658, 440, 1311, 1588, 409, 1744, 308, 104, 822, 69, 592, 884, 448, 1754, 1547, 1654, 694, 404, 1430, 884, 796, 976, 554, 668, 1512, 1609, 1601, 1519, 333, 1688, 962, 1627, 1225, 713, 1327, 701, 34, 1589, 1513, 1479, 984, 819, 1764, 1378, 289, 214, 663, 1405, 1326, 214, 1144, 1624, 629, 1489, 775, 78, 1235, 1706, 1221, 804, 1009, 361, 1612, 1359, 787, 32, 117, 909, 1565, 217, 733, 1451, 92, 312, 1801, 1313, 1792, 687, 515, 481, 1116, 229, 1367, 1439, 623, 1449, 1826, 1162, 1074, 493, 158, 1516, 930, 1054, 510, 455, 1516, 1511, 1481, 846, 742, 1792, 1498, 959, 822, 1048, 1051, 1280, 1382, 1049, 1209, 903, 804, 1755, 898, 174, 459, 1686, 575, 875, 1034, 467, 1584, 1450, 1540, 1805, 1660, 1553, 1309, 1337, 1209, 1217, 1261, 1141, 619, 860, 1369, 645, 657, 1696, 1513, 850, 1822, 266, 444, 392, 1158, 1465, 1324, 1047, 1550, 321, 1301, 1596, 757, 1588, 260, 1786, 339, 1333, 146, 1177, 53, 948, 53, 1671, 210, 558, 147, 1800, 609, 385, 1462, 1823, 1505, 1029, 1412, 1121, 1797, 1258, 688, 1145, 767, 109, 1228, 1081, 1639, 1323, 895, 1058, 1329, 521, 1647, 483, 1471, 1056, 1651, 887, 502, 1808, 910, 1718, 635, 1664, 55, 322, 1458, 1049, 787, 615, 1787, 0, 1776, 771, 415, 1403, 884, 409, 117, 1387, 631, 1687, 1283, 1638, 1667, 546, 1255, 1664, 1644, 785, 1529, 1669, 1553, 1475, 974, 967, 811, 1316, 637, 1311, 1310, 1773, 1372, 940, 1765, 1415, 1657, 1564, 1199, 1595, 1003, 1600, 1748, 1486, 1272, 1680, 1206, 308, 1156, 1149, 346, 1118, 699, 178, 1620, 1271, 1325, 831, 1489, 905, 953, 1282, 1293, 156, 219, 219, 128011, 128001 ]

[ 128000, 128002, 4516, 358, 1781, 584, 1436, 1120, 35840, 430, 814, 2351, 279, 1890, 11, 1606, 16280, 814, 527, 13, 128003, 128005, 345, 680, 337, 1567, 1738, 1571, 154, 1681, 1021, 1448, 1222, 1181, 1492, 653, 495, 825, 1803, 239, 1295, 1164, 1368, 1168, 184, 1821, 1585, 1352, 1448, 1039, 1194, 1730, 1468, 1093, 1524, 196, 876, 544, 1068, 513, 361, 504, 593, 1738, 643, 887, 435, 1026, 1626, 27, 355, 1035, 1821, 1021, 1484, 1168, 225, 990, 1472, 1800, 275, 251, 899, 121, 1650, 404, 1711, 175, 527, 1477, 930, 1030, 1621, 1534, 868, 633, 1001, 1403, 1062, 1558, 493, 1660, 6, 599, 1034, 198, 1364, 546, 26, 1568, 778, 28, 485, 10, 1637, 962, 858, 1393, 454, 1701, 1495, 1238, 1244, 1215, 1685, 866, 1617, 1176, 899, 426, 1185, 799, 465, 832, 975, 696, 651, 1419, 59, 1142, 1585, 1825, 1134, 1821, 829, 1260, 372, 312, 1496, 1700, 160, 1079, 1719, 735, 865, 1518, 183, 189, 764, 581, 1002, 1611, 231, 1735, 1393, 872, 1232, 665, 221, 774, 854, 816, 1078, 870, 41, 328, 158, 1764, 1057, 1712, 126, 1584, 1661, 1277, 1665, 1558, 1676, 416, 1506, 1511, 510, 1084, 1439, 1780, 1801, 1665, 1780, 378, 1360, 984, 933, 1262, 523, 766, 673, 751, 668, 1746, 1404, 1161, 1008, 1749, 1225, 1365, 1025, 1057, 1068, 923, 650, 737, 1796, 1029, 926, 1379, 1136, 1736, 948, 961, 1091, 1263, 1777, 1088, 1019, 1465, 1478, 970, 672, 1806, 1589, 1283, 239, 802, 1370, 1458, 1510, 1809, 578, 820, 693, 207, 1367, 1070, 726, 1414, 691, 1329, 396, 1168, 1303, 601, 689, 1096, 885, 1355, 396, 1168, 1793, 651, 1120, 845, 630, 686, 936, 585, 487, 523, 325, 986, 627, 1570, 936, 284, 988, 42, 1718, 1060, 1053, 1645, 1675, 1532, 1013, 1647, 995, 1150, 1808, 1771, 1653, 154, 725, 541, 315, 1450, 541, 1519, 1438, 1147, 1476, 1372, 725, 1573, 1304, 1646, 1339, 1642, 703, 899, 1146, 742, 64, 1168, 1017, 1305, 1002, 302, 85, 890, 1828, 1616, 920, 1625, 1753, 1324, 1304, 1278, 1076, 903, 183, 1081, 395, 921, 1050, 798, 177, 1035, 514, 1751, 483, 1176, 466, 1383, 1047, 1382, 1266, 1473, 1468, 1185, 113, 1660, 1801, 236, 878, 1045, 1485, 117, 1697, 1098, 1209, 1277, 1459, 1066, 1210, 521, 1438, 1044, 547, 1705, 1077, 271, 1805, 1224, 944, 1581, 1195, 1351, 835, 1707, 1815, 250, 929, 1032, 171, 1079, 66, 1154, 971, 396, 1419, 1007, 1705, 694, 1517, 1805, 219, 165, 453, 244, 128011, 128001 ]

[ 128000, 128002, 3112, 358, 1781, 430, 596, 682, 279, 59432, 430, 617, 1027, 6004, 13, 358, 1253, 617, 13942, 832, 1606, 856, 5044, 374, 539, 57492, 13, 128003, 128005, 1634, 970, 1788, 1538, 744, 426, 1011, 1106, 1120, 1200, 1439, 931, 1075, 1018, 1407, 996, 648, 787, 1073, 934, 1253, 1247, 1089, 357, 1136, 775, 1470, 1610, 1397, 1744, 1810, 1027, 1051, 656, 153, 1502, 1533, 890, 1762, 1039, 182, 776, 888, 1625, 1782, 1498, 1209, 1447, 320, 664, 1731, 380, 825, 1382, 388, 58, 1083, 736, 1660, 1313, 132, 362, 858, 687, 1795, 1777, 1626, 1699, 1627, 1609, 1199, 977, 1140, 1350, 1194, 887, 234, 1087, 983, 552, 518, 367, 545, 913, 293, 1307, 1019, 495, 1001, 904, 113, 93, 388, 886, 1494, 872, 621, 1560, 948, 1086, 1761, 816, 621, 1404, 958, 159, 1598, 791, 260, 397, 1117, 1122, 182, 443, 530, 1714, 1645, 1411, 844, 1378, 1686, 711, 474, 520, 705, 1036, 956, 491, 22, 1344, 530, 1303, 1537, 1771, 1134, 1148, 57, 536, 893, 602, 1047, 385, 328, 775, 1552, 577, 1616, 1387, 1600, 642, 898, 1094, 260, 1676, 560, 9, 790, 1190, 1345, 203, 493, 133, 781, 1196, 71, 1232, 674, 703, 578, 338, 1360, 1110, 82, 648, 388, 1402, 382, 367, 1409, 1411, 1443, 679, 1366, 1520, 1175, 1086, 1775, 1075, 703, 949, 143, 662, 1255, 1005, 644, 1609, 809, 1239, 1015, 670, 856, 247, 1081, 1145, 1138, 1718, 988, 485, 909, 990, 1574, 1365, 1744, 1375, 1820, 448, 203, 1693, 440, 1365, 654, 1427, 713, 1312, 793, 1340, 1812, 448, 1240, 26, 198, 1411, 1283, 176, 1699, 793, 1190, 1210, 1611, 797, 901, 1761, 1423, 493, 297, 1792, 1349, 952, 363, 1250, 742, 345, 1726, 60, 634, 564, 888, 864, 1291, 990, 806, 1401, 1215, 1770, 864, 1559, 1083, 886, 1404, 1107, 428, 952, 913, 1028, 1724, 444, 666, 1795, 444, 1085, 302, 131, 1670, 355, 767, 359, 938, 1345, 783, 239, 1349, 1452, 1618, 230, 519, 368, 124, 1798, 1600, 930, 1367, 1667, 1770, 783, 1236, 1673, 98, 1236, 1825, 225, 5, 1358, 607, 1534, 1429, 1473, 1221, 1463, 1436, 1435, 752, 1238, 1445, 562, 1408, 1497, 381, 1536, 1158, 285, 1504, 174, 766, 1321, 171, 431, 42, 1809, 1513, 1457, 1365, 1085, 1542, 1508, 1354, 861, 866, 344, 1268, 750, 1714, 1199, 1110, 635, 1354, 1235, 1389, 1741, 1542, 1127, 1621, 1155, 836, 986, 1291, 895, 1382, 1035, 409, 882, 485, 202, 1375, 166, 1337, 1528, 26, 1699, 1383, 1603, 691, 1577, 1536, 704, 1717, 1293, 896, 1705, 316, 743, 655, 423, 1479, 548, 1639, 1474, 523, 896, 1262, 1322, 85, 301, 669, 274, 891, 1570, 751, 712, 691, 717, 1016, 866, 1003, 1151, 555, 121, 257, 316, 799, 1585, 1553, 862, 584, 516, 704, 301, 591, 975, 681, 1362, 762, 513, 16, 651, 670, 766, 1478, 1465, 567, 601, 544, 984, 1652, 1015, 1762, 1411, 361, 989, 700, 1672, 966, 151, 907, 151, 1015, 311, 203, 1277, 948, 1304, 892, 1621, 787, 1686, 75, 910, 672, 653, 1793, 1446, 1263, 673, 1107, 1829, 134, 813, 257, 1100, 701, 831, 1146, 1339, 1776, 274, 787, 1359, 1221, 554, 202, 175, 652, 1641, 1810, 1813, 1741, 1068, 1611, 1389, 1487, 1325, 1113, 1358, 1820, 361, 719, 1650, 1735, 1790, 1322, 1432, 1532, 1798, 1535, 1721, 1200, 1397, 1069, 1572, 1382, 1352, 1358, 1500, 1141, 1297, 1731, 969, 1256, 1541, 1156, 1298, 1493, 1677, 1402, 1266, 1022, 1405, 909, 1322, 737, 1418, 1267, 845, 1720, 109, 1274, 1622, 853, 1007, 1630, 734, 717, 988, 1233, 1677, 1246, 156, 156, 244, 244, 128011, 128001 ]

[ 128000, 128002, 3112, 433, 3604, 374, 10015, 323, 39612, 11, 358, 1120, 617, 779, 1790, 358, 617, 311, 6227, 13, 128003, 128005, 740, 1152, 1419, 1763, 681, 649, 42, 1265, 1088, 386, 1733, 1027, 806, 1344, 767, 1155, 864, 502, 1825, 1435, 52, 1800, 811, 407, 293, 1275, 380, 1100, 380, 1304, 43, 775, 1278, 1473, 1453, 927, 1776, 1241, 430, 1035, 493, 1427, 1178, 583, 836, 1588, 1656, 592, 1533, 575, 1635, 1009, 1051, 67, 341, 1590, 911, 13, 1615, 315, 286, 399, 362, 1809, 634, 1685, 1707, 1238, 1428, 902, 1448, 1199, 411, 984, 454, 539, 1528, 47, 355, 1009, 302, 1691, 519, 1761, 927, 1710, 1752, 1459, 1443, 1042, 1459, 703, 1817, 1680, 1252, 1511, 892, 1251, 1330, 1314, 1243, 1282, 359, 1282, 632, 1746, 816, 1019, 1797, 1323, 964, 789, 1478, 1008, 1675, 970, 143, 1517, 1014, 1389, 915, 705, 1129, 1275, 236, 1309, 1109, 1160, 1155, 870, 935, 1637, 1630, 1439, 994, 1027, 1015, 1616, 510, 1470, 448, 1376, 495, 1434, 93, 1541, 1002, 1497, 1056, 1749, 1534, 1799, 1732, 1760, 1018, 1282, 26, 510, 1215, 166, 870, 1290, 335, 533, 507, 1459, 1318, 105, 1750, 349, 269, 1808, 806, 1312, 1004, 1541, 1463, 1511, 1598, 1345, 1417, 1792, 547, 803, 1431, 1117, 840, 1261, 1361, 385, 1651, 1820, 1270, 780, 1754, 1077, 1171, 411, 1749, 573, 915, 937, 768, 1277, 364, 1197, 1339, 1636, 319, 1824, 1611, 1799, 1385, 1166, 1168, 1770, 1232, 1412, 583, 1355, 1401, 1065, 1235, 1620, 639, 1312, 1406, 927, 1732, 1661, 632, 1486, 364, 1056, 1322, 909, 1393, 875, 774, 256, 41, 1707, 839, 1261, 804, 1122, 510, 98, 1385, 1792, 174, 1316, 1158, 1517, 878, 139, 165, 244, 219, 128011, 128001 ]

[ 128000, 128002, 4516, 379, 12791, 7752, 11, 9901, 499, 779, 1790, 369, 10307, 420, 2835, 13, 358, 656, 1390, 311, 3041, 264, 4062, 2697, 17480, 389, 279, 1614, 315, 279, 16795, 423, 4638, 5613, 13, 45446, 358, 3077, 17454, 264, 2763, 315, 4860, 31445, 1093, 16795, 423, 4638, 11, 1148, 7077, 311, 682, 1884, 6946, 499, 1051, 2133, 311, 3335, 30, 1472, 1047, 779, 1690, 389, 701, 2835, 9899, 304, 279, 922, 3857, 315, 701, 5613, 323, 1243, 499, 1120, 7108, 682, 315, 1124, 3734, 369, 832, 13, 128003, 128005, 597, 1120, 883, 1005, 1831, 725, 409, 994, 243, 856, 1431, 100, 1066, 783, 100, 1115, 135, 679, 1710, 802, 1055, 944, 973, 49, 497, 545, 170, 1753, 1258, 944, 556, 1402, 789, 132, 124, 1002, 1296, 1717, 1226, 1679, 1475, 1212, 895, 1611, 719, 1634, 1223, 1573, 1419, 1079, 1362, 805, 1479, 1654, 1437, 1311, 162, 79, 86, 276, 46, 203, 1049, 372, 10, 1463, 1299, 245, 1257, 1641, 1345, 1238, 1618, 7, 519, 409, 276, 1450, 10, 231, 1649, 236, 909, 228, 1267, 2, 1356, 1502, 479, 1483, 1497, 549, 934, 909, 270, 1224, 412, 787, 844, 1453, 1791, 665, 1332, 790, 858, 1466, 656, 1748, 1583, 1139, 1232, 1111, 720, 1340, 858, 977, 904, 529, 1245, 953, 1310, 589, 657, 697, 474, 300, 210, 200, 422, 983, 943, 1253, 1366, 452, 794, 1166, 599, 1720, 858, 1174, 1069, 320, 1678, 1498, 1300, 1537, 1366, 1615, 1368, 1403, 1415, 1350, 890, 1636, 507, 181, 848, 189, 687, 1651, 1034, 1485, 952, 1637, 1337, 1026, 999, 349, 112, 1728, 701, 1773, 1463, 1432, 796, 388, 63, 1409, 308, 1320, 695, 51, 1697, 604, 408, 125, 1502, 1400, 514, 1339, 1397, 1726, 1666, 1738, 1666, 1067, 1459, 1683, 1230, 1404, 1181, 1130, 1112, 301, 1154, 259, 247, 1443, 1232, 927, 996, 57, 1533, 748, 1664, 943, 1646, 372, 1014, 1008, 129, 671, 286, 1620, 904, 1698, 844, 1308, 1030, 361, 407, 794, 972, 467, 110, 1353, 687, 1407, 1147, 714, 1758, 1221, 1789, 481, 1687, 1272, 870, 870, 1077, 356, 966, 1147, 886, 1275, 1535, 952, 1248, 347, 951, 1342, 510, 1258, 882, 454, 931, 293, 1281, 802, 1082, 952, 1764, 1513, 1352, 1668, 1774, 1064, 1399, 1483, 1806, 1278, 1704, 1292, 1724, 1046, 705, 514, 836, 18, 1466, 1041, 297, 780, 1715, 732, 1367, 1815, 1367, 1521, 1697, 1776, 1645, 959, 1765, 1456, 1189, 1670, 1493, 13, 473, 1330, 903, 1789, 1081, 945, 803, 783, 1607, 1424, 1498, 1686, 1069, 361, 1365, 1351, 1494, 1477, 1171, 1141, 1638, 969, 1295, 1074, 1785, 1415, 1482, 738, 1134, 1600, 1729, 310, 1784, 884, 1516, 1336, 938, 1615, 835, 938, 127, 1253, 411, 808, 579, 910, 1031, 642, 1008, 1500, 949, 876, 1794, 1427, 1820, 1439, 1384, 1444, 416, 298, 4, 510, 1710, 230, 1400, 1524, 1376, 1681, 1310, 1044, 1472, 356, 1663, 946, 407, 1345, 1357, 648, 1494, 1453, 1660, 1534, 786, 124, 1061, 510, 1462, 1206, 1420, 1755, 1632, 1702, 1385, 1220, 9, 1799, 664, 1487, 1286, 1335, 1300, 203, 1818, 874, 961, 1353, 882, 269, 1479, 1082, 191, 134, 1528, 502, 1243, 1327, 1345, 730, 1785, 362, 92, 448, 190, 400, 213, 658, 927, 69, 886, 50, 154, 1375, 1363, 1654, 1228, 1024, 1046, 870, 113, 341, 867, 769, 107, 856, 713, 1282, 940, 15, 949, 687, 1615, 1407, 1615, 1323, 1292, 1651, 1517, 1751, 1456, 1010, 1205, 1051, 1110, 880, 127, 1403, 173, 1427, 1241, 173, 1825, 886, 475, 1625, 1355, 1105, 234, 917, 1753, 1203, 1260, 1240, 1460, 126, 1826, 1470, 1712, 1217, 1718, 1720, 1786, 1380, 1648, 1652, 1076, 981, 86, 564, 559, 964, 921, 99, 311, 1052, 118, 1302, 1353, 1748, 713, 1015, 1692, 731, 1710, 1243, 1578, 1629, 1386, 1609, 1702, 634, 398, 408, 939, 822, 439, 1039, 700, 1449, 1283, 153, 1027, 124, 1641, 519, 937, 1565, 4, 297, 1650, 1527, 126, 1569, 1753, 86, 1031, 82, 502, 173, 1663, 172, 1087, 658, 1493, 774, 1704, 1590, 1036, 1337, 1220, 599, 520, 1657, 1825, 1025, 1632, 1632, 0, 11, 1197, 527, 993, 1053, 11, 1298, 1656, 1057, 552, 1756, 599, 1083, 1139, 1041, 697, 1364, 123, 1762, 1436, 297, 1069, 1344, 1229, 949, 1426, 312, 1719, 1663, 875, 1746, 1821, 1668, 927, 1820, 1104, 782, 1704, 979, 719, 1495, 979, 1751, 1104, 493, 1428, 1082, 1752, 981, 885, 978, 724, 1713, 1707, 1146, 1363, 938, 533, 333, 1462, 1129, 1005, 806, 969, 1439, 738, 672, 639, 803, 913, 1332, 1318, 985, 1256, 9, 996, 757, 775, 13, 1389, 1078, 1426, 1402, 1258, 1409, 1340, 600, 972, 467, 1256, 800, 880, 705, 260, 491, 422, 609, 944, 656, 1042, 1742, 1399, 1490, 1324, 1437, 1785, 1247, 1779, 1430, 1808, 1198, 695, 477, 93, 388, 1247, 300, 626, 1069, 687, 1022, 1366, 349, 1457, 714, 1027, 1649, 1097, 1100, 714, 639, 1680, 1400, 1263, 1620, 1521, 1358, 1524, 132, 348, 124, 230, 1808, 966, 910, 395, 157, 1827, 800, 631, 1280, 67, 143, 1353, 1004, 853, 1741, 1753, 1392, 1221, 1069, 1417, 1217, 1087, 2, 1678, 1291, 483, 1686, 1335, 550, 1663, 849, 892, 828, 980, 1492, 748, 1803, 1796, 1706, 749, 1539, 1226, 1345, 1755, 631, 473, 770, 1221, 33, 1447, 1524, 1615, 1787, 1499, 230, 1789, 998, 920, 415, 1431, 1215, 1776, 1491, 1681, 777, 1466, 609, 777, 110, 215, 1308, 498, 1066, 1053, 764, 937, 1403, 1368, 1635, 878, 1166, 1075, 123, 1742, 62, 614, 1696, 22, 1520, 1752, 1817, 1227, 1215, 1823, 1752, 28, 1785, 1313, 1583, 1632, 1355, 1769, 976, 1798, 1233, 1010, 1658, 1103, 899, 1274, 258, 785, 1158, 729, 1537, 1252, 1493, 840, 860, 937, 592, 107, 733, 452, 41, 794, 1252, 1382, 324, 991, 632, 329, 386, 699, 208, 282, 829, 1237, 1661, 1704, 19, 1237, 1174, 759, 882, 1409, 1068, 202, 117, 1381, 1686, 1113, 547, 1326, 1698, 1498, 1092, 1671, 1258, 1745, 1119, 708, 1794, 880, 374, 200, 757, 621, 789, 203, 483, 622, 945, 108, 1680, 671, 1620, 759, 1453, 293, 41, 269, 67, 840, 1019, 1376, 1247, 1552, 592, 890, 399, 1160, 1502, 911, 362, 1708, 1329, 1437, 737, 753, 38, 1408, 1468, 1741, 1056, 124, 1026, 263, 22, 1330, 1241, 312, 127, 945, 1534, 746, 1492, 176, 202, 1712, 1394, 127, 1492, 1349, 1052, 944, 1794, 1213, 1344, 363, 1281, 1221, 815, 1680, 644, 845, 1021, 1708, 1396, 1397, 1368, 1446, 1500, 1508, 1380, 1722, 891, 1210, 1097, 1372, 703, 759, 134, 1407, 1337, 1076, 1422, 1475, 1469, 183, 1533, 448, 202, 1730, 822, 1331, 1435, 847, 1610, 1455, 966, 1406, 1129, 944, 1323, 1272, 593, 676, 1438, 469, 1421, 1437, 1385, 1665, 58, 149, 890, 182, 912, 1516, 508, 982, 1494, 79, 900, 868, 1041, 644, 47, 182, 617, 1556, 1054, 1727, 1636, 738, 1230, 344, 1416, 92, 742, 1511, 1700, 1202, 202, 983, 835, 938, 1761, 1673, 1376, 368, 1387, 213, 1375, 507, 927, 1378, 364, 1149, 877, 286, 1366, 1109, 1353, 863, 1485, 709, 1350, 1217, 86, 757, 560, 1829, 1770, 1027, 1471, 1368, 848, 1502, 1407, 510, 1042, 944, 1498, 1089, 383, 1180, 1008, 892, 1409, 1415, 1660, 1499, 870, 1314, 1083, 1, 688, 1511, 863, 600, 1161, 395, 1589, 1238, 807, 1181, 1404, 752, 1589, 1823, 1705, 767, 1525, 1404, 1091, 1079, 1175, 1752, 1121, 1175, 891, 1205, 837, 732, 672, 1142, 681, 1145, 257, 1007, 325, 729, 1011, 1336, 1302, 175, 1726, 499, 388, 29, 1579, 615, 1724, 1061, 1820, 231, 1368, 1596, 46, 1516, 79, 455, 1234, 1082, 1235, 834, 1376, 759, 6, 100, 844, 543, 430, 495, 884, 1268, 726, 571, 557, 108, 1126, 461, 1002, 321, 230, 1058, 1589, 1647, 1581, 1349, 848, 1018, 725, 1347, 1797, 1502, 395, 917, 1775, 1766, 789, 98, 1476, 996, 1339, 938, 775, 815, 701, 1221, 1048, 1035, 1310, 1019, 784, 95, 1759, 372, 621, 1379, 1409, 1812, 1820, 1249, 1601, 1474, 1456, 1113, 309, 106, 858, 25, 1173, 393, 88, 825, 1300, 632, 1004, 1468, 1267, 1268, 1477, 1268, 1500, 1646, 1057, 129, 407, 202, 122, 18, 790, 955, 632, 254, 483, 907, 715, 1463, 1830, 1710, 1787, 400, 1018, 1171, 70, 1040, 1410, 827, 737, 1139, 92, 532, 1500, 1411, 1647, 1457, 503, 1380, 878, 1396, 1059, 683, 1167, 773, 1081, 1511, 882, 1520, 1360, 1720, 1780, 788, 1382, 1403, 253, 1278, 543, 24, 1298, 1160, 642, 789, 253, 1484, 375, 552, 773, 81, 1645, 901, 1400, 682, 1408, 944, 972, 1629, 1324, 1372, 1416, 1661, 134, 1658, 1776, 1406, 1033, 1799, 1716, 989, 1830, 1306, 1364, 1820, 1175, 719, 1746, 1082, 1495, 1306, 788, 1716, 1496, 1282, 1471, 1430, 1765, 1293, 1305, 1307, 1432, 1173, 723, 375, 408, 1088, 794, 1368, 1430, 775, 830, 454, 616, 1621, 656, 626, 865, 725, 917, 1327, 1588, 310, 1491, 930, 1661, 688, 1657, 911, 269, 1802, 554, 703, 1749, 1270, 629, 1824, 1160, 55, 1363, 790, 1518, 1, 1439, 231, 1403, 1150, 1489, 1742, 1497, 836, 615, 1431, 385, 901, 1719, 65, 935, 1700, 104, 1498, 1686, 1329, 228, 856, 1589, 794, 197, 1692, 687, 1769, 1691, 1217, 215, 828, 51, 128, 146, 871, 228, 977, 51, 370, 1055, 243, 1173, 626, 380, 708, 63, 577, 1484, 853, 843, 153, 1089, 828, 79, 903, 1661, 1241, 1068, 1323, 320, 1753, 907, 330, 996, 1097, 687, 909, 1528, 1796, 1351, 69, 46, 276, 198, 1439, 1129, 186, 1136, 13, 236, 252, 57, 368, 1804, 1314, 1494, 1792, 1671, 1798, 1565, 848, 1109, 1119, 1437, 1044, 1078, 1502, 871, 1366, 898, 1186, 1426, 1095, 1772, 1452, 109, 733, 1448, 1229, 688, 1812, 777, 893, 1197, 456, 1651, 790, 1083, 1647, 639, 1396, 1344, 1373, 363, 1331, 1464, 1833, 513, 165, 219, 244, 244, 167, 128011, 128001 ]

[ 128000, 128002, 54040, 374, 11, 358, 6051, 3940, 459, 60859, 11, 902, 358, 617, 9932, 1603, 11, 323, 433, 16280, 374, 1475, 1938, 11, 7159, 11, 7742, 11, 8079, 11, 7950, 11, 902, 358, 8101, 374, 539, 1475, 1938, 13, 128003, 128005, 704, 762, 1405, 231, 827, 1042, 2, 1670, 190, 1741, 104, 1471, 69, 836, 758, 587, 1553, 890, 519, 1384, 129, 1468, 1326, 276, 1780, 67, 1341, 1489, 407, 1240, 1365, 1509, 409, 129, 230, 190, 592, 599, 848, 1720, 719, 1626, 1820, 1256, 1462, 1423, 1053, 1326, 1345, 1247, 1083, 1178, 1261, 1229, 844, 637, 887, 860, 858, 549, 1462, 67, 870, 1392, 181, 1674, 1047, 202, 1715, 843, 1761, 1620, 1118, 1821, 1123, 1364, 1068, 987, 409, 18, 1323, 1296, 52, 362, 7, 384, 26, 202, 1005, 926, 1015, 848, 22, 1663, 1261, 1069, 1494, 1240, 949, 1470, 519, 1374, 122, 277, 166, 315, 767, 592, 1132, 1005, 1426, 600, 874, 848, 1392, 1110, 510, 1335, 890, 48, 1775, 1476, 1276, 631, 182, 1540, 938, 1221, 615, 1354, 1662, 1817, 333, 1089, 1532, 400, 806, 1600, 546, 184, 1811, 636, 1468, 742, 1480, 1238, 920, 198, 556, 1496, 178, 1378, 1204, 1345, 217, 41, 750, 1286, 738, 1639, 1320, 310, 1641, 454, 1350, 154, 1364, 1422, 70, 1314, 1324, 628, 1407, 308, 1156, 1141, 13, 1493, 1631, 1745, 1301, 1769, 1103, 1347, 1172, 1517, 205, 310, 980, 1272, 1518, 328, 1755, 1313, 1135, 626, 1633, 800, 961, 927, 524, 1436, 393, 825, 1382, 948, 271, 83, 1447, 1182, 474, 973, 719, 1520, 679, 1633, 1068, 1287, 973, 1089, 1041, 973, 794, 1494, 1057, 1022, 748, 1451, 1166, 319, 18, 1375, 1438, 1160, 1272, 143, 1445, 1257, 1050, 1756, 1540, 1494, 798, 1814, 1411, 949, 1591, 767, 1374, 719, 1139, 1393, 767, 1349, 1119, 1779, 1156, 617, 1585, 225, 572, 825, 729, 1633, 904, 1667, 112, 1063, 1286, 617, 1075, 1596, 1541, 711, 716, 1462, 1734, 1630, 715, 1297, 1254, 1087, 796, 1192, 1436, 609, 1499, 512, 961, 1238, 1008, 1021, 1445, 1048, 1024, 9, 1312, 990, 1077, 191, 1500, 1104, 1221, 98, 1375, 1692, 1825, 1678, 1246, 1683, 928, 1144, 1499, 1176, 1537, 1520, 1516, 909, 949, 1344, 1629, 844, 1534, 1314, 1221, 1060, 471, 1473, 1115, 1340, 595, 1384, 909, 983, 1336, 1636, 1700, 1275, 687, 1797, 1297, 230, 1787, 1345, 132, 48, 774, 532, 1215, 493, 1596, 1441, 124, 1791, 1476, 1183, 1045, 599, 1477, 1117, 271, 1232, 656, 359, 1720, 1160, 536, 1478, 1457, 160, 495, 361, 771, 1211, 0, 503, 1071, 745, 1470, 688, 1430, 347, 317, 1302, 1488, 301, 430, 291, 1546, 791, 1534, 218, 825, 719, 347, 1042, 320, 1478, 886, 411, 1146, 1524, 742, 1716, 1752, 1670, 623, 1792, 1325, 203, 1498, 892, 1490, 1278, 803, 1422, 909, 1024, 644, 899, 1473, 240, 1542, 121, 239, 839, 796, 806, 1809, 604, 813, 1364, 1429, 1477, 774, 154, 580, 1061, 855, 736, 1345, 1526, 714, 1150, 1082, 1509, 1078, 1751, 1152, 1089, 1362, 1032, 1479, 971, 548, 1360, 978, 387, 862, 891, 1696, 1319, 899, 325, 899, 957, 704, 939, 1585, 585, 939, 694, 387, 957, 1570, 799, 1474, 686, 939, 1536, 712, 1114, 1536, 274, 1233, 1570, 1142, 1244, 1151, 751, 1536, 692, 933, 1362, 1007, 1628, 1151, 981, 1536, 712, 1293, 325, 1142, 862, 686, 1142, 1536, 585, 957, 928, 1003, 274, 686, 799, 1536, 585, 710, 325, 1092, 710, 620, 651, 1151, 1242, 795, 1283, 1617, 202, 10, 1292, 849, 1471, 1484, 454, 143, 1048, 1009, 1452, 1723, 18, 1544, 1527, 1539, 1552, 1042, 1448, 882, 326, 884, 787, 1525, 864, 923, 1004, 1109, 1500, 252, 1779, 983, 1667, 973, 22, 134, 1700, 1558, 1542, 1641, 1358, 1519, 926, 454, 1409, 790, 1695, 679, 1737, 1514, 1770, 634, 1391, 610, 1342, 1019, 1423, 182, 307, 1089, 1300, 567, 809, 1681, 1341, 1546, 348, 1660, 415, 1552, 1741, 1205, 841, 994, 230, 359, 788, 587, 1801, 637, 1707, 887, 878, 721, 933, 1814, 807, 672, 1421, 1095, 866, 1112, 516, 1284, 967, 1704, 704, 967, 1474, 1080, 1346, 766, 967, 1721, 712, 513, 1614, 986, 1233, 1244, 727, 1338, 1244, 627, 325, 567, 939, 1474, 751, 1293, 585, 651, 1362, 584, 939, 325, 981, 1007, 704, 651, 1362, 387, 1142, 1284, 762, 751, 1570, 751, 1338, 766, 513, 1538, 630, 1142, 686, 513, 1338, 785, 387, 554, 1233, 1176, 1568, 1142, 1037, 692, 845, 676, 1648, 988, 1185, 1795, 503, 1725, 1344, 835, 1665, 1771, 1824, 911, 1583, 230, 767, 1517, 1235, 1651, 1727, 1404, 1456, 723, 1220, 829, 1429, 1320, 1149, 769, 617, 1290, 1365, 1796, 886, 1102, 833, 699, 637, 779, 1439, 1261, 1374, 1376, 52, 1342, 409, 493, 368, 1344, 1583, 203, 1600, 1452, 1510, 1409, 1535, 134, 1426, 1285, 1180, 874, 1237, 1389, 665, 1487, 364, 1331, 1015, 1331, 1764, 1456, 1195, 693, 918, 1809, 1455, 1088, 1686, 1126, 349, 1186, 1174, 1029, 370, 252, 1370, 816, 1274, 1212, 1610, 519, 319, 1743, 883, 1404, 480, 938, 1068, 701, 877, 858, 744, 1742, 1665, 1534, 1672, 1700, 1736, 678, 1738, 978, 65, 1164, 1402, 157, 1711, 816, 178, 1437, 1221, 1400, 1304, 596, 1444, 1231, 929, 709, 1707, 869, 598, 1589, 250, 171, 1121, 40, 799, 918, 563, 1362, 1273, 1725, 1474, 567, 1704, 460, 717, 724, 981, 1004, 1122, 657, 1492, 147, 553, 1217, 147, 1069, 157, 1435, 1410, 1186, 1315, 1314, 1131, 1079, 1197, 1227, 1282, 612, 165, 219, 244, 128011, 128001 ]

[ 128000, 128002, 3112, 358, 1101, 1524, 990, 520, 279, 3224, 6469, 83785, 14097, 439, 1664, 7170, 13, 2100, 358, 3152, 11, 433, 596, 264, 8941, 315, 990, 13, 9086, 358, 2846, 3318, 264, 2763, 315, 4207, 264, 1938, 13, 9086, 358, 2846, 16280, 3318, 2212, 1093, 13, 128003, 128005, 686, 1076, 1600, 1435, 639, 782, 961, 989, 1005, 1427, 609, 1828, 1280, 901, 1330, 364, 1477, 382, 73, 1410, 400, 1389, 129, 29, 1620, 999, 1596, 1540, 1649, 1784, 1311, 1145, 149, 676, 1668, 229, 1681, 1448, 1448, 1250, 1003, 1359, 717, 693, 1245, 82, 1014, 1110, 210, 856, 1173, 82, 125, 1229, 1484, 847, 411, 1503, 1217, 577, 124, 295, 749, 1018, 628, 1077, 1436, 362, 125, 1740, 350, 269, 1805, 549, 593, 1146, 127, 1799, 814, 999, 798, 1266, 1113, 1049, 1485, 994, 1700, 607, 1223, 966, 814, 996, 564, 1746, 1545, 1684, 1342, 1743, 827, 705, 782, 1492, 1081, 1752, 1406, 1305, 1287, 1361, 1174, 1031, 742, 758, 1287, 1782, 1329, 1739, 1172, 524, 926, 979, 203, 847, 1631, 576, 1677, 363, 1811, 1436, 1468, 599, 10, 1720, 870, 1304, 782, 742, 1583, 1650, 1163, 1410, 1741, 1292, 1089, 1222, 1015, 1276, 545, 1712, 164, 1198, 1453, 903, 481, 1705, 1397, 1453, 1774, 1719, 1305, 1027, 1524, 855, 1701, 105, 1375, 395, 1475, 648, 564, 1094, 629, 1009, 1281, 1748, 687, 1558, 202, 183, 344, 1376, 1483, 1403, 657, 1349, 787, 1146, 876, 1422, 1491, 1426, 906, 286, 1363, 399, 1324, 1724, 1280, 1340, 1756, 1441, 230, 1485, 1035, 989, 1432, 1524, 1437, 1824, 876, 1696, 621, 1792, 492, 1494, 1086, 1389, 664, 1324, 757, 1147, 1192, 1335, 1297, 1369, 1821, 1429, 1661, 1287, 183, 1238, 749, 1718, 1462, 1258, 1426, 1591, 1755, 1730, 1497, 1800, 1659, 1706, 1797, 1189, 1227, 1264, 466, 1303, 1330, 271, 1611, 1357, 847, 1426, 136, 1326, 1492, 1163, 1663, 1638, 1532, 231, 1376, 640, 1283, 1439, 1438, 874, 425, 1250, 173, 1158, 113, 1477, 721, 153, 1258, 1417, 1186, 959, 1753, 1347, 1257, 1466, 1373, 1251, 1739, 627, 1611, 0, 891, 1034, 1824, 1279, 927, 1142, 1355, 1412, 1010, 1034, 1623, 1556, 1036, 1598, 1730, 1033, 336, 284, 1038, 982, 1665, 1004, 621, 1527, 1342, 123, 1633, 943, 1136, 864, 1476, 901, 688, 1354, 1712, 1518, 409, 863, 1256, 13, 520, 1826, 1027, 1591, 1685, 428, 1470, 1241, 1226, 1303, 1171, 1382, 1337, 1677, 1347, 1107, 997, 158, 1755, 1511, 1341, 191, 1048, 1012, 1171, 575, 1674, 1212, 302, 1798, 1452, 1625, 1700, 1734, 1234, 1805, 354, 627, 576, 1000, 1426, 803, 1174, 1468, 1167, 1075, 815, 1802, 1382, 1769, 1391, 642, 1124, 1400, 569, 1459, 1086, 65, 1646, 474, 902, 474, 1059, 142, 1656, 958, 1683, 514, 1479, 1056, 850, 1088, 688, 1284, 700, 843, 1067, 326, 693, 1253, 653, 1005, 539, 1268, 1732, 1467, 1646, 1447, 1305, 321, 1572, 822, 1218, 399, 1272, 1408, 901, 1655, 587, 1699, 1537, 1690, 1732, 761, 1399, 1328, 1328, 1252, 95, 1189, 1473, 1381, 683, 343, 1368, 17, 705, 1315, 764, 492, 1776, 53, 1276, 424, 711, 660, 794, 871, 1351, 1169, 628, 1526, 1503, 719, 893, 1209, 723, 589, 1391, 88, 931, 978, 474, 1208, 813, 521, 86, 9, 1447, 616, 655, 679, 1263, 1470, 810, 53, 1805, 1141, 1518, 1521, 1580, 1296, 1660, 1237, 1824, 1497, 529, 1262, 1590, 1798, 1643, 1763, 1457, 405, 806, 10, 777, 1351, 1308, 687, 1342, 871, 407, 1403, 1107, 1195, 386, 65, 1067, 610, 1089, 1132, 179, 1434, 697, 1364, 809, 767, 319, 1124, 999, 474, 1799, 370, 792, 997, 976, 55, 261, 1403, 703, 1595, 22, 856, 1472, 1770, 1517, 775, 682, 539, 1171, 1306, 1275, 157, 397, 268, 949, 1303, 1095, 870, 700, 618, 1773, 745, 102, 1388, 10, 389, 820, 757, 227, 1229, 322, 1718, 698, 1393, 429, 460, 303, 992, 282, 268, 1393, 1409, 761, 1511, 1794, 1458, 1720, 715, 557, 1522, 1056, 1802, 1166, 1384, 1088, 877, 1429, 1426, 1014, 1226, 1013, 1277, 412, 1409, 1435, 711, 825, 549, 1229, 1743, 565, 1490, 931, 1745, 787, 1211, 1401, 1331, 1605, 775, 1181, 1141, 1774, 173, 900, 123, 985, 1317, 113, 858, 1414, 282, 951, 1491, 1342, 1236, 1325, 1410, 1475, 1310, 1496, 513, 165, 156, 244, 244, 128011, 128001 ]

[ 128000, 128002, 28070, 15247, 4207, 264, 1938, 7170, 323, 433, 596, 3169, 315, 27873, 13, 358, 2846, 3169, 315, 927, 21837, 7182, 11, 719, 128003, 128005, 990, 865, 1532, 1439, 359, 1554, 1817, 1194, 500, 127, 983, 920, 1776, 916, 1328, 1733, 716, 1796, 1444, 229, 1003, 1792, 1384, 805, 1765, 1011, 654, 749, 1018, 315, 1212, 308, 782, 679, 1439, 55, 348, 872, 1333, 858, 47, 397, 1655, 726, 1078, 268, 1825, 948, 841, 903, 1002, 961, 800, 614, 1002, 614, 1393, 210, 1704, 221, 1648, 73, 624, 550, 1749, 588, 1214, 789, 1699, 876, 687, 530, 1040, 1762, 57, 824, 1350, 1646, 319, 652, 714, 1726, 1631, 321, 1724, 297, 930, 361, 1613, 1830, 1152, 1688, 863, 1397, 474, 1801, 775, 340, 991, 1661, 43, 1541, 889, 1086, 1366, 1601, 422, 1573, 521, 1699, 483, 1624, 213, 882, 213, 409, 493, 493, 1135, 951, 1261, 200, 1498, 1772, 1708, 940, 1542, 1231, 1015, 1818, 1650, 1641, 315, 1329, 1447, 1197, 203, 1404, 797, 1417, 565, 1177, 1149, 236, 1611, 1417, 324, 1738, 1280, 346, 1429, 1534, 57, 1621, 1093, 1511, 729, 348, 0, 546, 233, 428, 1028, 497, 1313, 798, 1410, 430, 828, 117, 1156, 1457, 882, 1449, 1278, 1753, 1629, 1027, 1674, 1397, 1476, 1307, 1146, 628, 1807, 870, 877, 1535, 1587, 1660, 129, 183, 927, 1376, 1815, 1153, 1036, 1196, 1329, 1691, 1230, 1143, 1066, 105, 1331, 1282, 1008, 182, 909, 1230, 1126, 798, 184, 1411, 715, 557, 1528, 269, 763, 1220, 121, 225, 1623, 395, 681, 665, 1352, 860, 1514, 1339, 1687, 1702, 1149, 1146, 569, 399, 1427, 725, 548, 110, 930, 363, 1820, 1380, 1428, 335, 1128, 1823, 19, 252, 896, 828, 1145, 730, 1645, 1137, 520, 1229, 832, 836, 1426, 1483, 1642, 631, 870, 230, 1166, 878, 1241, 495, 1565, 1688, 1037, 1379, 1777, 1705, 947, 1428, 1104, 1436, 1033, 1034, 1701, 1668, 1082, 1806, 1230, 1175, 1705, 1088, 1701, 1279, 943, 1822, 1393, 1104, 1504, 1104, 1432, 1793, 1098, 891, 1428, 1305, 301, 1483, 1129, 1487, 907, 1143, 113, 1300, 835, 1146, 657, 1467, 1447, 1530, 1313, 927, 1391, 827, 53, 234, 208, 575, 1698, 570, 1127, 637, 374, 1492, 498, 9, 834, 1313, 312, 1284, 860, 941, 1752, 303, 429, 1672, 1078, 222, 1025, 719, 491, 1469, 1588, 264, 1818, 770, 1043, 1004, 283, 1405, 326, 355, 639, 389, 1719, 506, 1064, 252, 792, 892, 988, 579, 688, 1638, 1081, 5, 1160, 1790, 1637, 1212, 1113, 917, 842, 297, 1386, 1005, 893, 1351, 868, 1823, 179, 1795, 806, 1034, 1389, 753, 333, 931, 335, 46, 858, 409, 230, 117, 860, 1258, 560, 907, 1310, 115, 1647, 321, 768, 708, 1415, 1206, 783, 1758, 1477, 1081, 1067, 1427, 1649, 1647, 1545, 1481, 893, 875, 1254, 307, 591, 42, 776, 964, 918, 762, 1769, 816, 321, 477, 83, 2, 208, 82, 36, 170, 841, 13, 162, 741, 1502, 1344, 1304, 1404, 1470, 1018, 137, 320, 1160, 1241, 1434, 1002, 1287, 1777, 1403, 640, 1278, 1623, 165, 165, 244, 244, 128011, 128001 ]

[ 128000, 128002, 24581, 430, 8515, 11, 1205, 430, 30864, 30958, 492, 13, 2100, 63445, 7752, 11, 358, 690, 539, 387, 17843, 5115, 439, 1690, 6946, 11, 719, 499, 1440, 11, 358, 3940, 856, 60859, 3432, 11, 3782, 2162, 11, 8430, 1695, 11, 6773, 311, 1304, 264, 2835, 13, 2100, 279, 3245, 374, 358, 690, 2103, 1304, 5115, 264, 2478, 6946, 11, 719, 358, 2846, 539, 2133, 311, 5379, 7182, 311, 904, 37869, 11, 1093, 904, 7452, 37869, 430, 690, 2231, 7410, 389, 7182, 13, 128003, 128005, 501, 436, 1311, 1681, 184, 1719, 1376, 738, 1573, 1450, 945, 126, 1503, 154, 1264, 1278, 315, 48, 1514, 1781, 815, 1627, 1310, 1046, 715, 53, 234, 1423, 463, 210, 1777, 186, 1196, 358, 474, 637, 1339, 1813, 1316, 1453, 570, 782, 1428, 882, 1397, 1245, 1314, 958, 252, 808, 309, 1297, 140, 1770, 115, 1134, 173, 19, 53, 656, 1192, 1261, 1235, 1281, 1034, 1554, 1516, 656, 1687, 882, 1403, 1694, 1649, 1417, 1667, 679, 109, 533, 1415, 1581, 154, 688, 1747, 1584, 78, 1755, 1360, 1173, 798, 315, 965, 1314, 393, 1414, 123, 1722, 160, 1260, 1418, 732, 1496, 1600, 1141, 1469, 654, 803, 731, 787, 1807, 1166, 987, 1261, 954, 787, 763, 1729, 850, 454, 552, 1553, 768, 904, 1327, 963, 1478, 1106, 1354, 389, 654, 703, 1448, 269, 751, 105, 1301, 1110, 600, 790, 915, 697, 1212, 973, 782, 1100, 1422, 346, 1385, 864, 46, 1417, 510, 1620, 1470, 1783, 1526, 1660, 1233, 1301, 1565, 1277, 1057, 117, 1806, 1139, 1741, 1556, 943, 1821, 1104, 1496, 971, 837, 1079, 724, 1644, 899, 867, 863, 1513, 7, 493, 884, 239, 1399, 39, 98, 1034, 1245, 341, 917, 1509, 948, 269, 1457, 362, 1358, 715, 741, 1226, 375, 1045, 153, 782, 983, 69, 1008, 69, 1008, 276, 831, 157, 921, 234, 1499, 133, 104, 1505, 225, 104, 213, 994, 768, 10, 1497, 1081, 129, 132, 1364, 1376, 1732, 1818, 1094, 1102, 65, 116, 236, 375, 880, 370, 956, 565, 330, 956, 520, 346, 614, 756, 63, 798, 543, 1226, 1298, 428, 508, 519, 320, 1300, 714, 519, 1556, 0, 1728, 1404, 231, 1806, 1355, 1711, 1458, 1519, 1634, 957, 820, 1419, 1293, 704, 1262, 1536, 1244, 1114, 1628, 710, 673, 247, 391, 1037, 1170, 209, 676, 1007, 1395, 1258, 1132, 874, 892, 158, 863, 1210, 1186, 1739, 1179, 890, 1540, 1371, 1739, 611, 1715, 1325, 629, 1374, 742, 1795, 1238, 898, 1638, 1520, 1015, 157, 1341, 412, 179, 158, 402, 39, 467, 412, 55, 1790, 1511, 1705, 1012, 1089, 814, 1296, 262, 1109, 109, 1744, 729, 284, 1234, 1824, 581, 1719, 1314, 1731, 1437, 1485, 114, 986, 857, 1773, 395, 1590, 808, 1819, 63, 1574, 317, 1139, 1332, 1718, 189, 725, 507, 67, 1375, 858, 1320, 1280, 648, 92, 184, 1755, 1059, 1059, 502, 515, 1747, 1718, 385, 1782, 1746, 981, 1320, 1806, 712, 1458, 982, 1004, 977, 590, 756, 357, 1399, 1030, 759, 126, 1078, 848, 1356, 927, 1204, 183, 195, 920, 1660, 1466, 1347, 756, 1650, 787, 400, 1426, 1078, 132, 341, 29, 1091, 1328, 822, 1366, 688, 1565, 1759, 1507, 333, 1628, 1160, 105, 1214, 906, 1249, 895, 1441, 856, 1772, 849, 848, 74, 972, 1082, 1565, 234, 214, 1099, 640, 158, 429, 1573, 1342, 1069, 1552, 592, 1558, 749, 1468, 1796, 333, 1795, 1228, 1546, 1011, 1665, 1172, 518, 1668, 697, 757, 631, 497, 1766, 1005, 1149, 1241, 1253, 1392, 719, 1219, 1648, 1314, 1071, 1720, 1832, 1079, 1342, 1705, 1797, 1364, 1408, 1175, 1752, 1321, 1329, 891, 1833, 669, 1092, 785, 465, 1373, 423, 513, 274, 1648, 1213, 1078, 957, 775, 975, 1081, 1432, 1156, 639, 665, 900, 664, 1178, 1435, 1056, 1477, 576, 1201, 959, 1755, 1656, 1301, 1276, 1107, 1259, 306, 1275, 637, 1040, 907, 962, 664, 1662, 714, 890, 320, 67, 858, 18, 399, 1313, 944, 626, 1127, 510, 1295, 1101, 123, 737, 759, 856, 1494, 348, 1388, 1313, 1369, 1136, 364, 443, 1497, 858, 1127, 1382, 822, 903, 1004, 1437, 833, 1342, 395, 1674, 495, 1826, 920, 1566, 746, 1492, 1317, 993, 775, 576, 1808, 833, 269, 702, 1476, 1591, 183, 178, 1588, 6, 685, 1686, 1192, 833, 374, 1508, 1451, 1590, 1495, 1795, 1705, 546, 736, 1061, 202, 1642, 1325, 1002, 536, 895, 1340, 1480, 1726, 384, 974, 1400, 791, 127, 1370, 1133, 1126, 1125, 142, 4, 1237, 1088, 1139, 835, 1168, 1179, 735, 707, 1131, 976, 1648, 655, 837, 1623, 1705, 888, 651, 995, 1390, 1815, 1, 1735, 1688, 865, 1279, 1468, 658, 1030, 132, 1215, 1229, 320, 1800, 1308, 230, 98, 1437, 1797, 1076, 886, 629, 332, 1116, 952, 1751, 1141, 1686, 1113, 789, 1426, 913, 1637, 374, 1396, 996, 629, 1796, 628, 748, 1459, 310, 1818, 662, 1233, 1814, 1339, 1714, 1611, 42, 1355, 1541, 1632, 1370, 1373, 1379, 1754, 1456, 669, 735, 1144, 620, 624, 1120, 1600, 976, 1082, 1724, 1621, 911, 1667, 919, 640, 1420, 1636, 909, 190, 1542, 1353, 104, 1013, 1473, 725, 1372, 583, 695, 890, 1813, 1005, 1412, 1013, 1337, 1706, 1240, 348, 444, 837, 1581, 1564, 767, 26, 829, 1738, 510, 341, 1786, 637, 225, 1146, 83, 1762, 599, 688, 750, 123, 861, 858, 935, 1621, 1630, 174, 1064, 437, 1148, 1751, 1092, 950, 1613, 923, 1359, 1751, 1033, 1808, 361, 1685, 409, 348, 1283, 1376, 1532, 10, 26, 1411, 874, 1086, 595, 660, 29, 309, 657, 940, 521, 1263, 769, 1265, 1088, 945, 703, 1488, 239, 1195, 1139, 1335, 836, 1403, 1502, 372, 520, 1818, 605, 374, 1676, 767, 264, 1379, 1421, 1164, 113, 662, 605, 480, 1322, 1486, 1049, 938, 1702, 1186, 1738, 371, 481, 502, 1569, 1697, 533, 1069, 1527, 616, 968, 73, 1375, 864, 1438, 277, 1711, 770, 1036, 617, 1532, 1291, 1590, 1053, 1700, 1363, 631, 1535, 129, 863, 636, 1332, 1297, 687, 55, 117, 83, 1758, 755, 941, 1240, 1097, 1472, 1438, 1723, 1456, 1671, 971, 1475, 1795, 1305, 886, 1798, 1458, 1342, 1465, 1412, 1600, 1648, 927, 1722, 1809, 1375, 1233, 1121, 465, 1080, 1623, 1510, 1092, 606, 504, 681, 1393, 1823, 1716, 755, 1674, 1139, 1584, 1734, 1691, 1695, 117, 1354, 1108, 1349, 1198, 521, 348, 1686, 108, 1393, 1318, 1287, 1486, 1493, 1091, 789, 1460, 1441, 876, 1217, 1350, 1431, 502, 1068, 996, 18, 1829, 1501, 1296, 124, 863, 122, 175, 1426, 1790, 1307, 1220, 874, 359, 979, 755, 1462, 587, 1019, 1370, 1243, 1713, 1620, 86, 1511, 411, 1659, 1300, 1533, 409, 315, 1088, 6, 1217, 1450, 4, 1354, 750, 1298, 998, 757, 502, 1241, 1347, 1008, 1221, 738, 1733, 1240, 1336, 1542, 1081, 901, 10, 806, 483, 979, 1314, 399, 1243, 1613, 1306, 1486, 1097, 1726, 1822, 736, 1628, 1045, 1100, 813, 502, 1001, 1237, 407, 1326, 1344, 687, 789, 1651, 454, 1326, 1795, 1588, 1764, 719, 788, 1752, 980, 1234, 1120, 1035, 952, 716, 495, 533, 98, 1833, 416, 1619, 344, 333, 1047, 1224, 1139, 1420, 129, 1341, 1538, 1600, 1801, 1583, 1283, 1453, 969, 195, 1554, 282, 1400, 839, 205, 1161, 1526, 1005, 828, 1542, 556, 1356, 1811, 510, 320, 399, 714, 1607, 1685, 22, 1614, 938, 1202, 1155, 1040, 173, 36, 1358, 474, 948, 88, 1814, 461, 1714, 695, 1025, 947, 1350, 742, 1830, 1351, 1237, 609, 65, 112, 1423, 1182, 1186, 402, 197, 1554, 1823, 1406, 1116, 1666, 1232, 937, 1155, 1034, 1700, 395, 1635, 1146, 945, 1444, 833, 191, 1802, 1691, 1339, 1668, 957, 1489, 357, 1036, 1808, 231, 1704, 1225, 1556, 926, 1091, 775, 317, 793, 1374, 317, 495, 1412, 864, 47, 688, 1628, 726, 644, 804, 938, 1004, 1249, 1466, 955, 1147, 587, 1326, 979, 1001, 1436, 1078, 1516, 399, 648, 631, 129, 18, 713, 1426, 1200, 1492, 864, 297, 1468, 764, 806, 1468, 775, 1612, 1511, 1605, 1421, 1786, 1565, 1351, 1077, 231, 705, 1636, 400, 1330, 1088, 495, 1449, 1217, 1305, 1344, 495, 1253, 1493, 906, 1709, 714, 189, 658, 802, 315, 1160, 166, 592, 1082, 50, 416, 989, 640, 1148, 1031, 922, 277, 65, 95, 270, 303, 15, 1286, 1449, 1588, 1368, 1600, 556, 1468, 1083, 577, 770, 1582, 158, 681, 249, 123, 894, 1540, 1272, 41, 1544, 1651, 198, 430, 22, 129, 1310, 1637, 117, 1114, 1412, 719, 1185, 1074, 1770, 1292, 1139, 1385, 1034, 719, 1305, 947, 1821, 1099, 1139, 933, 1170, 1777, 957, 1496, 735, 676, 838, 939, 866, 1106, 1202, 1423, 537, 1047, 577, 1528, 277, 1249, 400, 1411, 829, 383, 1325, 1161, 876, 1528, 1485, 395, 1769, 962, 55, 34, 700, 1594, 10, 473, 749, 276, 1638, 409, 1342, 736, 213, 1375, 510, 62, 1830, 769, 911, 1677, 1055, 1247, 1629, 1113, 52, 616, 1511, 1366, 776, 1412, 1345, 1422, 122, 844, 1091, 129, 1436, 308, 4, 950, 1012, 1043, 813, 388, 326, 1670, 570, 1206, 400, 73, 1452, 1342, 1093, 1699, 639, 1552, 1002, 1149, 1822, 1468, 341, 1093, 1694, 1494, 211, 1572, 1439, 269, 1626, 286, 1615, 176, 1441, 1691, 519, 1486, 874, 635, 333, 147, 1260, 678, 208, 1106, 13, 1332, 1598, 1395, 1686, 905, 1351, 984, 1033, 1391, 229, 891, 1289, 624, 1770, 31, 712, 1268, 839, 1717, 492, 1613, 626, 91, 1779, 709, 1288, 1112, 729, 805, 1096, 651, 1763, 1076, 1246, 567, 936, 1262, 551, 406, 795, 566, 939, 1125, 1799, 1385, 1795, 1144, 1505, 741, 429, 1595, 948, 225, 519, 790, 946, 1214, 973, 406, 1632, 883, 918, 42, 470, 1418, 1294, 513, 950, 670, 1321, 800, 1801, 1671, 1314, 591, 1481, 1095, 1172, 115, 1629, 299, 977, 299, 477, 711, 1303, 1069, 1620, 581, 1712, 844, 1247, 1738, 943, 1282, 1205, 715, 600, 1210, 92, 917, 1180, 1477, 1276, 860, 341, 1265, 1410, 783, 1358, 1532, 126, 662, 1309, 1565, 126, 1081, 996, 326, 1259, 1436, 813, 1247, 1139, 834, 1753, 882, 1563, 687, 546, 1337, 298, 640, 1091, 404, 1245, 1235, 972, 1258, 1212, 441, 475, 1746, 741, 359, 1833, 1136, 326, 1774, 961, 1708, 1256, 1515, 1468, 1447, 1756, 1286, 1718, 1646, 1403, 676, 165, 156, 244, 244, 167, 128011, 128001 ]

[ 128000, 128002, 3112, 1120, 3041, 757, 26225, 8631, 13, 45446, 1093, 422, 358, 9899, 1093, 11, 17339, 11, 358, 2846, 16926, 656, 3116, 6946, 264, 2046, 1093, 358, 1511, 311, 13, 128003, 128005, 620, 449, 19, 1611, 997, 1451, 1761, 1047, 1510, 716, 1788, 1613, 1676, 399, 41, 1631, 1341, 1166, 1800, 183, 556, 1756, 4, 333, 1583, 6, 1701, 1354, 1664, 1703, 1627, 1669, 928, 178, 1175, 1803, 26, 491, 1805, 556, 503, 911, 1463, 1802, 1532, 1274, 1430, 1224, 668, 657, 1523, 755, 1231, 780, 1156, 175, 1717, 1384, 1519, 1771, 1719, 1814, 1743, 874, 1358, 628, 1447, 860, 662, 1230, 1739, 1607, 108, 515, 1463, 1073, 955, 872, 370, 1069, 1027, 983, 1679, 592, 320, 1018, 320, 1278, 328, 1422, 1766, 328, 940, 507, 202, 1238, 10, 713, 1450, 864, 1087, 1057, 286, 657, 1351, 848, 1109, 178, 834, 1621, 768, 1530, 308, 1494, 1552, 549, 1422, 202, 943, 1682, 26, 1730, 1057, 1459, 1202, 656, 252, 1750, 164, 1107, 1494, 270, 86, 1686, 1332, 1596, 1027, 52, 1175, 592, 519, 1495, 368, 1667, 1009, 1651, 1042, 1646, 753, 1587, 298, 1521, 1817, 664, 1301, 1041, 518, 848, 1487, 400, 1032, 50, 803, 1751, 1247, 1598, 864, 1214, 1700, 1545, 230, 1749, 1162, 441, 210, 1409, 1101, 147, 234, 128, 813, 581, 1127, 1331, 276, 321, 197, 749, 577, 656, 137, 901, 18, 320, 1412, 962, 1752, 1130, 1424, 632, 276, 966, 521, 303, 178, 446, 1517, 512, 557, 1702, 719, 1452, 231, 911, 1399, 1526, 1450, 326, 1702, 996, 662, 1718, 583, 505, 777, 830, 1661, 647, 1783, 777, 1584, 370, 730, 407, 829, 320, 1264, 1252, 769, 73, 1419, 1040, 932, 1795, 1792, 735, 886, 1181, 1434, 1410, 1114, 1160, 1817, 1707, 715, 1348, 1395, 1393, 712, 1355, 1233, 1144, 1205, 899, 1360, 1145, 971, 1333, 632, 1742, 1221, 326, 1833, 1022, 742, 1741, 1650, 1704, 1175, 1827, 660, 802, 628, 1831, 1241, 269, 1682, 1671, 1115, 1040, 1015, 442, 783, 1621, 834, 1386, 874, 120, 1738, 887, 926, 1073, 825, 1351, 1526, 678, 1092, 91, 1646, 1729, 416, 1088, 828, 344, 804, 790, 1802, 1581, 715, 473, 1411, 782, 1743, 1160, 1337, 1500, 382, 231, 788, 1221, 1210, 803, 348, 1070, 500, 684, 157, 635, 1651, 657, 687, 133, 346, 1800, 663, 1443, 1350, 1472, 560, 218, 1068, 1374, 1678, 1813, 1485, 98, 1473, 198, 1828, 985, 556, 1267, 1073, 269, 184, 92, 1401, 554, 50, 428, 1366, 1462, 1232, 1366, 753, 688, 1413, 1588, 302, 5, 1786, 214, 946, 980, 1563, 326, 640, 746, 688, 1817, 1626, 1605, 1432, 1691, 1111, 1484, 1216, 514, 917, 1024, 1136, 1347, 822, 48, 1170, 1552, 354, 1309, 382, 545, 1313, 1758, 755, 1490, 1376, 1336, 640, 1365, 344, 1488, 1061, 1048, 485, 831, 328, 935, 1403, 1825, 1678, 50, 1646, 1387, 409, 1701, 415, 1524, 1302, 308, 1448, 1393, 1227, 335, 439, 619, 107, 1684, 384, 805, 467, 1433, 1286, 807, 1754, 1537, 1453, 1823, 1822, 1331, 1360, 165, 219, 244, 244, 128011, 128001 ]

[ 128000, 128002, 13246, 430, 596, 1120, 2288, 1790, 369, 757, 323, 358, 1253, 387, 3025, 311, 656, 1884, 6946, 11, 719, 1093, 433, 1120, 9711, 779, 1790, 7410, 389, 757, 13, 358, 1541, 956, 1390, 499, 7752, 311, 3412, 757, 311, 1884, 17078, 430, 358, 4461, 690, 539, 387, 3025, 311, 3449, 13, 2100, 4619, 682, 279, 6946, 690, 1120, 387, 1093, 6380, 733, 18069, 46540, 1093, 420, 832, 11, 902, 433, 574, 13847, 369, 3432, 13, 2030, 499, 1440, 13, 128003, 128005, 1016, 534, 523, 1208, 492, 1812, 800, 1030, 399, 983, 1815, 308, 520, 1689, 1513, 264, 1818, 1200, 816, 320, 880, 874, 461, 664, 295, 158, 1804, 1139, 1147, 1615, 790, 175, 230, 940, 1141, 1088, 1002, 92, 510, 714, 1616, 230, 1788, 1688, 1600, 1667, 50, 231, 1436, 596, 1817, 989, 1476, 787, 536, 1447, 1024, 1596, 623, 1635, 1370, 126, 1490, 721, 1303, 642, 1368, 609, 1645, 349, 503, 1741, 1731, 1740, 656, 0, 1261, 822, 1705, 1029, 0, 1642, 927, 1063, 1200, 787, 738, 1074, 877, 995, 57, 177, 750, 616, 1760, 822, 877, 817, 1263, 1782, 154, 616, 1290, 1470, 1068, 990, 787, 1789, 454, 134, 1679, 1614, 1084, 1724, 247, 42, 884, 1185, 1638, 1681, 971, 1631, 666, 1311, 852, 1285, 1704, 281, 727, 976, 149, 1820, 1306, 1307, 1345, 1002, 1252, 822, 1077, 1018, 1156, 452, 1803, 664, 493, 9, 581, 1253, 1156, 844, 1344, 700, 1832, 876, 1430, 269, 325, 836, 496, 876, 636, 481, 1832, 1689, 729, 1037, 832, 805, 1657, 1076, 625, 641, 1152, 496, 641, 744, 465, 1419, 1033, 933, 1157, 1211, 1763, 1421, 1204, 1173, 1087, 1370, 628, 1776, 822, 55, 1719, 473, 742, 1802, 416, 756, 508, 753, 679, 253, 1368, 1221, 50, 1382, 1651, 611, 33, 1250, 776, 1379, 1351, 1038, 502, 230, 946, 198, 1563, 959, 577, 14, 1804, 757, 46, 634, 1186, 892, 183, 1564, 495, 1311, 1794, 1253, 489, 197, 592, 946, 148, 57, 1450, 1103, 1185, 1189, 1152, 990, 1240, 0, 1758, 780, 1520, 770, 132, 863, 1433, 1353, 711, 1281, 1473, 858, 1484, 877, 678, 949, 1678, 714, 1457, 1376, 1332, 1787, 1370, 1697, 1814, 1241, 1083, 1450, 1829, 1285, 750, 1494, 1497, 483, 1591, 556, 1698, 1389, 430, 1675, 1399, 1078, 310, 844, 1780, 1487, 1221, 1498, 1441, 132, 1624, 4, 1492, 1826, 1710, 1614, 669, 715, 1318, 721, 1320, 1328, 1221, 688, 450, 1420, 904, 1404, 880, 1416, 384, 961, 1403, 901, 1680, 658, 1347, 782, 831, 1688, 1786, 1092, 388, 1683, 796, 621, 1737, 1476, 177, 1451, 1655, 1828, 18, 938, 328, 117, 95, 1506, 454, 1240, 348, 69, 22, 399, 1532, 1807, 368, 1763, 1752, 1212, 1543, 1355, 718, 998, 1170, 1492, 618, 1613, 1382, 1590, 1535, 1161, 1568, 315, 639, 0, 592, 1711, 556, 1238, 895, 870, 1265, 813, 825, 756, 127, 269, 1423, 1665, 1382, 191, 109, 1481, 1651, 269, 467, 1581, 1056, 1355, 1540, 648, 870, 1511, 782, 1694, 1438, 1621, 1037, 1822, 1731, 1171, 1720, 486, 1216, 260, 1438, 393, 1155, 402, 1181, 524, 1331, 48, 1830, 715, 1372, 943, 1278, 1391, 769, 1820, 1054, 628, 941, 1074, 688, 1309, 757, 1130, 116, 1668, 467, 1590, 1206, 1797, 514, 1830, 1025, 1403, 114, 1327, 994, 1383, 997, 758, 858, 1629, 230, 1295, 1450, 1089, 1471, 665, 86, 755, 1475, 1136, 1175, 972, 767, 737, 1703, 1833, 935, 1431, 918, 741, 877, 519, 913, 1829, 1001, 1630, 903, 1384, 1757, 1823, 1463, 1388, 1797, 757, 1762, 1229, 783, 1459, 321, 1788, 969, 1451, 814, 1375, 1083, 1627, 1056, 1750, 790, 476, 679, 1512, 798, 1714, 886, 894, 1057, 210, 1687, 402, 1471, 1410, 303, 823, 361, 1546, 295, 1660, 298, 519, 1664, 1588, 1309, 359, 1152, 1344, 1526, 1576, 1459, 1745, 1741, 1367, 1489, 1660, 1064, 1510, 1830, 718, 1081, 1187, 626, 143, 1726, 201, 991, 109, 500, 1078, 427, 1516, 1518, 1677, 771, 662, 920, 1779, 802, 1178, 834, 230, 682, 1566, 428, 783, 231, 1104, 1772, 1488, 875, 1215, 744, 1735, 1027, 1144, 1175, 1711, 1829, 927, 1802, 1393, 1400, 1765, 1036, 1701, 1114, 1496, 1553, 891, 672, 169, 785, 368, 1327, 18, 1664, 1475, 1259, 657, 1299, 1250, 815, 1760, 940, 352, 1661, 1310, 359, 1394, 1310, 105, 1751, 794, 439, 1664, 483, 1599, 129, 286, 1500, 519, 1827, 1730, 1679, 1421, 1781, 1730, 1705, 1654, 1010, 772, 1211, 526, 691, 1745, 1005, 271, 53, 560, 299, 306, 329, 1399, 1534, 1647, 1584, 927, 190, 549, 592, 1300, 1701, 0, 1693, 1099, 1201, 718, 430, 13, 787, 796, 753, 1593, 1500, 1612, 1754, 230, 117, 10, 546, 1333, 461, 1077, 812, 520, 1626, 335, 644, 654, 576, 1626, 822, 1452, 409, 767, 1447, 202, 1230, 328, 782, 1399, 326, 495, 822, 716, 636, 787, 859, 1300, 1019, 333, 1460, 1546, 298, 1624, 1552, 749, 1819, 649, 552, 1406, 349, 53, 556, 115, 1647, 170, 874, 1237, 522, 1192, 1400, 1399, 1285, 1282, 1311, 1181, 1395, 1486, 1422, 1720, 1033, 1160, 1478, 1432, 1395, 744, 1395, 1421, 845, 661, 259, 674, 1106, 1111, 1171, 386, 1171, 179, 1264, 388, 1139, 514, 862, 1075, 480, 426, 730, 310, 961, 1188, 299, 475, 1561, 697, 1369, 558, 952, 1778, 1766, 1007, 1797, 1817, 477, 1490, 1104, 648, 341, 1383, 1217, 444, 1573, 877, 1080, 747, 964, 588, 136, 1229, 921, 1434, 803, 1588, 835, 1450, 783, 1735, 579, 809, 1171, 248, 715, 260, 1292, 147, 1469, 1282, 814, 1668, 1328, 638, 1164, 1143, 1809, 47, 1689, 202, 1506, 6, 1083, 4, 1402, 658, 932, 1445, 981, 832, 1504, 934, 1830, 779, 1659, 1622, 1380, 416, 863, 1, 202, 1820, 1259, 806, 1375, 98, 1349, 1520, 1238, 935, 930, 197, 593, 1688, 434, 864, 1463, 122, 1175, 123, 1688, 49, 1326, 1711, 399, 1114, 1621, 1667, 1466, 202, 67, 822, 556, 1677, 1035, 1354, 1749, 640, 1751, 1099, 1329, 1428, 1074, 1422, 1305, 979, 1817, 1665, 1476, 1033, 1359, 1418, 266, 838, 1211, 865, 50, 554, 166, 1436, 855, 1424, 595, 644, 1349, 95, 1779, 678, 1464, 1073, 831, 1744, 709, 1644, 725, 298, 46, 407, 1018, 213, 1217, 50, 26, 1489, 1204, 394, 137, 1086, 173, 218, 329, 977, 462, 137, 276, 1317, 1166, 1186, 1026, 376, 73, 1782, 827, 1066, 682, 73, 395, 1344, 1065, 1423, 1366, 1341, 110, 341, 1719, 808, 583, 261, 1292, 1584, 1323, 872, 19, 384, 268, 1293, 793, 1605, 909, 976, 990, 1482, 108, 268, 1743, 782, 873, 637, 890, 575, 875, 1139, 1415, 1599, 430, 1728, 22, 1308, 1784, 1422, 803, 1375, 116, 1747, 1351, 850, 1631, 1764, 519, 18, 1817, 931, 1725, 860, 1491, 725, 870, 1709, 213, 1337, 1524, 631, 1754, 1691, 1546, 1390, 344, 869, 42, 1174, 722, 367, 1689, 356, 506, 454, 1081, 1687, 730, 1731, 934, 1698, 461, 1095, 236, 186, 1421, 270, 1492, 1541, 388, 1134, 1249, 1345, 1833, 513, 1247, 301, 1466, 1226, 1328, 868, 1174, 498, 565, 81, 1324, 147, 958, 965, 1078, 1743, 1388, 661, 1309, 1227, 1292, 1320, 583, 778, 716, 1600, 893, 1768, 1681, 1715, 878, 36, 1062, 57, 1071, 695, 1687, 961, 1670, 949, 532, 925, 203, 1719, 248, 1537, 547, 839, 1253, 1105, 917, 999, 1086, 1464, 1172, 970, 1430, 382, 1325, 1723, 1009, 374, 1592, 1221, 1775, 154, 577, 1364, 213, 1403, 507, 822, 1130, 1177, 359, 1688, 1596, 1719, 1741, 1702, 1648, 1693, 1774, 1241, 1496, 1707, 675, 1132, 1126, 550, 433, 552, 715, 164, 589, 354, 190, 769, 642, 1014, 376, 7, 1330, 1487, 132, 409, 911, 637, 1138, 128, 725, 480, 153, 428, 1697, 428, 46, 870, 18, 1649, 1735, 1238, 1807, 1329, 1287, 1821, 1034, 1818, 1099, 1364, 1705, 1164, 1720, 1118, 1099, 1277, 316, 918, 832, 762, 967, 199, 1211, 1191, 1399, 547, 1389, 452, 1379, 759, 835, 849, 815, 1802, 1282, 1014, 795, 1611, 804, 1711, 1076, 1082, 491, 1763, 658, 105, 1513, 774, 1558, 335, 714, 230, 67, 22, 18, 1524, 1832, 887, 1630, 1238, 705, 1662, 1278, 514, 1720, 756, 835, 927, 503, 1145, 825, 572, 1431, 752, 1407, 992, 890, 779, 230, 721, 1175, 1312, 32, 1772, 1826, 714, 308, 1171, 440, 1364, 1331, 178, 1817, 1720, 865, 1793, 1565, 1430, 1486, 823, 785, 1010, 666, 1142, 1292, 1036, 1045, 1286, 1407, 969, 108, 310, 662, 1666, 831, 1322, 42, 1780, 286, 819, 488, 700, 759, 146, 532, 65, 105, 201, 648, 1447, 549, 243, 844, 315, 725, 1027, 67, 1403, 178, 1535, 1099, 400, 477, 931, 985, 1183, 146, 705, 1238, 393, 688, 1747, 719, 1670, 1061, 844, 789, 1330, 1701, 1743, 158, 662, 1510, 816, 503, 1688, 1409, 1734, 790, 1718, 1002, 863, 1830, 782, 736, 1565, 1041, 1268, 518, 950, 514, 1754, 98, 1040, 593, 1305, 1666, 681, 1211, 1727, 1589, 510, 1002, 18, 1018, 1495, 911, 1820, 1466, 1286, 1472, 582, 1708, 1689, 976, 1084, 823, 1192, 1411, 658, 158, 30, 1077, 759, 430, 1245, 137, 816, 1238, 463, 569, 1559, 944, 1224, 295, 972, 1618, 1, 1367, 218, 700, 1019, 1018, 1364, 1593, 793, 1131, 1096, 837, 188, 1120, 1795, 1321, 1034, 1525, 1028, 1091, 981, 989, 495, 1305, 989, 1705, 1028, 1329, 735, 999, 1752, 981, 989, 627, 1028, 1164, 1070, 743, 1118, 627, 930, 486, 724, 1151, 936, 1145, 465, 751, 561, 301, 1262, 16, 301, 1016, 1244, 1478, 1570, 710, 1348, 1242, 751, 1284, 585, 591, 1151, 301, 799, 561, 555, 377, 710, 1233, 1244, 762, 1233, 281, 555, 377, 692, 516, 896, 785, 1007, 1512, 824, 1461, 932, 377, 758, 1530, 1569, 1362, 1163, 281, 387, 751, 1151, 516, 1233, 465, 1144, 1338, 680, 651, 247, 933, 1399, 497, 1596, 610, 1069, 277, 248, 1636, 25, 949, 254, 1275, 678, 549, 1506, 1766, 1324, 684, 1099, 1232, 523, 1306, 655, 1185, 58, 1360, 297, 533, 791, 702, 400, 1814, 47, 1362, 1369, 1393, 1078, 1261, 711, 1499, 1742, 1324, 1733, 1429, 1675, 1333, 1671, 1801, 1438, 1455, 831, 1321, 1486, 177, 460, 879, 169, 1038, 548, 128011, 128001 ]

[ 128000, 128002, 40, 1120, 5828, 956, 2771, 422, 358, 574, 2133, 311, 387, 3025, 311, 656, 433, 11, 719, 358, 2846, 6380, 11, 499, 1440, 11, 311, 2103, 387, 704, 1618, 323, 3815, 6946, 369, 499, 7752, 13, 1628, 358, 690, 4762, 6435, 1523, 264, 2697, 2766, 439, 584, 636, 1139, 6287, 11, 1606, 358, 1205, 311, 864, 57263, 264, 15860, 315, 6946, 430, 690, 733, 704, 1418, 358, 2846, 304, 7926, 11, 1606, 358, 690, 539, 387, 13758, 2162, 505, 6287, 56766, 311, 1093, 6841, 56766, 13, 128003, 128005, 766, 686, 735, 1362, 1151, 627, 666, 1007, 1112, 1720, 804, 121, 1316, 655, 1404, 339, 1127, 498, 271, 87, 1004, 318, 764, 200, 1368, 833, 1447, 1503, 1416, 1312, 454, 1264, 1325, 201, 125, 312, 1637, 549, 529, 166, 67, 1296, 592, 1476, 1450, 1332, 1372, 1602, 969, 1612, 22, 525, 1725, 791, 506, 28, 518, 1681, 79, 1615, 519, 319, 1030, 1631, 123, 1555, 679, 1249, 1600, 1584, 183, 26, 1815, 335, 865, 1367, 886, 255, 793, 616, 1495, 374, 1276, 577, 835, 639, 1800, 1791, 1217, 1827, 1260, 1208, 497, 774, 1223, 9, 271, 1277, 864, 1056, 469, 806, 1010, 730, 1760, 1312, 1296, 319, 124, 510, 1798, 1818, 1333, 1351, 877, 1651, 1025, 9, 1393, 1520, 679, 118, 1326, 1338, 1384, 966, 193, 1365, 1769, 251, 336, 1343, 1733, 1700, 1633, 633, 29, 1571, 1794, 774, 694, 1353, 920, 566, 205, 719, 900, 1516, 1796, 562, 795, 1159, 334, 730, 1707, 843, 293, 555, 628, 736, 1008, 940, 272, 1640, 1279, 1396, 1571, 440, 519, 919, 626, 325, 479, 90, 1018, 211, 736, 705, 1675, 104, 611, 230, 1042, 1364, 1218, 1142, 1483, 1112, 1375, 1517, 1668, 788, 1705, 1411, 1519, 1809, 1034, 1717, 1489, 1059, 490, 724, 586, 1070, 724, 971, 1746, 610, 1347, 309, 248, 1241, 402, 1372, 665, 1436, 125, 216, 1134, 1434, 29, 1161, 143, 769, 609, 1015, 579, 76, 208, 164, 221, 300, 573, 306, 300, 573, 1008, 1823, 1369, 1418, 1036, 1304, 827, 769, 269, 1599, 973, 1450, 1094, 996, 132, 834, 1756, 962, 127, 1690, 1723, 1830, 885, 771, 649, 1043, 526, 995, 1076, 1810, 1156, 865, 1241, 688, 930, 1310, 738, 947, 644, 1665, 907, 1648, 13, 1319, 1335, 32, 782, 1463, 1376, 183, 1552, 122, 1027, 714, 510, 1565, 546, 1527, 1528, 719, 1483, 491, 1449, 1439, 248, 1759, 1332, 716, 1460, 1464, 1775, 1786, 1725, 1556, 714, 898, 507, 628, 1004, 552, 948, 791, 82, 146, 36, 475, 83, 162, 1126, 892, 901, 621, 483, 1401, 1831, 989, 239, 959, 700, 1591, 1344, 1376, 1490, 791, 1599, 1042, 687, 1778, 1492, 1441, 917, 1285, 1028, 1740, 748, 1626, 1283, 1607, 1329, 519, 834, 225, 1411, 1667, 1253, 211, 1390, 117, 216, 1681, 1267, 1302, 1345, 992, 1057, 57, 703, 582, 1624, 1068, 1752, 1270, 57, 112, 1821, 889, 514, 1435, 493, 123, 1599, 357, 1563, 230, 1436, 1466, 889, 1701, 977, 1116, 920, 506, 1448, 645, 787, 1026, 745, 1078, 481, 619, 29, 1417, 759, 1171, 903, 152, 1318, 383, 210, 1755, 300, 210, 1542, 300, 93, 736, 452, 252, 546, 1001, 1519, 110, 1712, 129, 320, 1238, 1376, 1611, 1583, 1691, 1770, 1411, 1817, 1306, 979, 1704, 1036, 719, 1279, 1175, 1735, 1752, 640, 1118, 1379, 938, 1486, 1057, 1803, 1750, 669, 396, 1227, 19, 1184, 1263, 318, 1066, 656, 628, 1403, 1047, 1212, 552, 1040, 408, 349, 408, 927, 393, 1825, 321, 898, 636, 1147, 214, 875, 1714, 1598, 184, 1365, 1680, 1441, 9, 472, 200, 132, 1232, 1369, 1787, 1019, 1784, 1519, 1742, 1303, 1045, 1372, 955, 511, 138, 800, 1184, 349, 721, 742, 1404, 1708, 1245, 1342, 1210, 18, 529, 1482, 592, 648, 362, 320, 1741, 782, 870, 1379, 399, 636, 495, 1420, 291, 98, 1422, 1184, 57, 191, 557, 1741, 1193, 1192, 1394, 682, 211, 1623, 1789, 1472, 1035, 983, 1196, 822, 1005, 433, 1500, 463, 475, 993, 179, 813, 927, 110, 361, 1370, 1350, 856, 1502, 688, 1494, 1671, 1271, 1431, 1708, 856, 197, 312, 742, 1537, 326, 1688, 1611, 913, 952, 472, 1618, 1583, 613, 1596, 492, 1635, 1795, 904, 900, 1568, 1656, 524, 217, 57, 889, 1275, 794, 200, 1291, 1009, 497, 1798, 1457, 1119, 1134, 339, 1484, 521, 1395, 1066, 1680, 57, 1490, 1364, 753, 183, 714, 1521, 1468, 1476, 1401, 1228, 361, 1120, 158, 1601, 510, 875, 507, 1341, 554, 57, 1789, 18, 1581, 1238, 1383, 41, 1513, 1553, 1661, 1660, 1526, 865, 1572, 1792, 928, 655, 692, 772, 250, 121, 598, 666, 680, 133, 673, 862, 264, 1710, 1270, 1777, 884, 127, 839, 884, 1240, 326, 1568, 231, 105, 1826, 1450, 481, 1677, 1514, 86, 1717, 1654, 1424, 1513, 1776, 1829, 416, 1030, 1568, 1238, 184, 1502, 1290, 127, 738, 1730, 1769, 1365, 662, 950, 702, 134, 1617, 1451, 333, 198, 1287, 592, 440, 1164, 962, 1621, 239, 576, 1412, 812, 184, 1629, 485, 856, 1491, 1518, 616, 1525, 1596, 909, 438, 1605, 1112, 727, 17, 732, 1689, 534, 1092, 939, 199, 923, 513, 1071, 1814, 699, 1356, 210, 1138, 934, 1207, 868, 1191, 95, 1204, 212, 565, 829, 1089, 518, 1310, 1253, 536, 1831, 1607, 1799, 943, 1389, 609, 132, 1645, 759, 848, 1454, 254, 1315, 1468, 1441, 1342, 18, 129, 1002, 26, 4, 1410, 654, 1748, 1797, 34, 1809, 1225, 1642, 1279, 1074, 1717, 1367, 1270, 1832, 1104, 1451, 1556, 1146, 1791, 1458, 1290, 86, 724, 460, 259, 418, 1683, 1164, 416, 1100, 1200, 989, 36, 1778, 1539, 249, 1720, 1790, 1001, 1333, 1758, 951, 599, 1086, 1375, 1366, 617, 1176, 639, 688, 1598, 1375, 1332, 890, 1533, 191, 1665, 1586, 312, 1297, 858, 395, 1722, 1702, 932, 242, 1071, 449, 1355, 1337, 1794, 1410, 1613, 1391, 1313, 724, 1116, 941, 1245, 202, 716, 713, 1447, 1449, 889, 716, 1686, 945, 481, 1420, 1545, 1213, 1235, 1433, 1089, 882, 835, 516, 1517, 240, 1746, 1075, 1754, 1651, 1805, 1465, 1159, 1680, 1517, 1001, 508, 742, 1427, 1326, 539, 1477, 1088, 1046, 1287, 388, 514, 1670, 1041, 248, 1689, 1261, 831, 950, 1232, 807, 869, 1179, 1070, 1108, 396, 686, 1345, 589, 806, 816, 934, 892, 1229, 9, 1221, 949, 592, 898, 662, 502, 1410, 1633, 1, 931, 714, 769, 1447, 1082, 1160, 1526, 806, 725, 197, 1326, 1225, 1573, 1520, 1451, 416, 95, 1281, 854, 239, 317, 501, 788, 1069, 1832, 962, 648, 289, 1493, 962, 1438, 157, 63, 1736, 993, 678, 214, 1819, 1230, 1078, 443, 1643, 356, 384, 198, 137, 1422, 546, 1744, 1458, 399, 1525, 1329, 1532, 1705, 943, 1795, 1164, 1139, 1118, 1379, 1687, 1648, 1565, 1114, 316, 242, 259, 781, 1200, 1333, 609, 1192, 637, 997, 270, 1209, 579, 1275, 191, 1028, 607, 1385, 600, 1752, 590, 1681, 616, 1446, 1313, 593, 1118, 150, 1313, 592, 1766, 492, 1459, 901, 112, 716, 1596, 955, 607, 1580, 390, 564, 1426, 1135, 525, 719, 147, 1087, 452, 260, 1758, 179, 1030, 1056, 1443, 969, 1402, 1152, 1308, 861, 949, 967, 831, 378, 1517, 150, 1783, 779, 1096, 660, 839, 1129, 106, 1431, 370, 660, 1247, 115, 737, 1143, 210, 48, 483, 718, 1281, 1132, 1097, 102, 1534, 1029, 443, 1758, 383, 657, 1822, 1344, 1722, 969, 160, 947, 647, 1050, 955, 1285, 911, 1427, 1352, 996, 258, 203, 1322, 564, 601, 1037, 1092, 1002, 858, 1731, 1041, 1331, 1447, 958, 1776, 1125, 1177, 1742, 1226, 723, 1506, 955, 951, 422, 797, 1191, 937, 113, 1462, 424, 1716, 892, 326, 1816, 1041, 977, 1794, 1221, 556, 532, 361, 213, 1766, 771, 1715, 1532, 1790, 780, 943, 239, 440, 1459, 239, 1349, 1793, 1701, 1430, 1033, 878, 42, 1028, 1074, 1144, 989, 1646, 964, 979, 891, 1168, 1104, 548, 1343, 957, 971, 501, 513, 301, 666, 905, 999, 1156, 1765, 1018, 935, 1592, 1672, 1652, 1139, 1731, 550, 1720, 1310, 1243, 848, 1387, 4, 33, 1588, 1265, 1173, 1298, 386, 1088, 474, 788, 73, 1792, 1382, 688, 1719, 1221, 835, 1637, 326, 1288, 996, 875, 117, 835, 930, 395, 830, 1005, 1498, 422, 789, 1125, 309, 352, 1229, 958, 441, 104, 41, 1267, 1361, 1493, 960, 1174, 1511, 11, 269, 1698, 1175, 1504, 599, 539, 490, 1476, 503, 1109, 1139, 532, 1810, 1810, 663, 976, 1718, 1238, 181, 1700, 1160, 1278, 1803, 1040, 1744, 1033, 1203, 326, 1155, 1098, 1062, 777, 1436, 1369, 1218, 1059, 1436, 214, 1593, 999, 1439, 63, 1365, 1349, 1411, 182, 312, 1681, 1104, 126, 1416, 952, 1733, 1012, 1816, 1594, 1622, 60, 284, 188, 676, 1411, 250, 999, 1739, 275, 1074, 449, 724, 1448, 470, 666, 1142, 516, 1151, 724, 1185, 465, 516, 1011, 387, 627, 1536, 567, 957, 704, 301, 957, 712, 939, 1536, 680, 486, 1385, 526, 1256, 1397, 1279, 1073, 1205, 1524, 1498, 1202, 205, 1173, 590, 500, 1224, 700, 1042, 456, 63, 1823, 1761, 903, 116, 1564, 1355, 303, 1545, 1450, 48, 1628, 1422, 310, 935, 1099, 1718, 748, 1798, 117, 1634, 1259, 1155, 545, 1438, 1002, 503, 1589, 205, 264, 1221, 1598, 1453, 1067, 1138, 670, 1271, 1115, 1455, 1111, 1804, 173, 839, 1636, 210, 1417, 827, 248, 876, 1355, 1517, 969, 1472, 363, 1329, 1333, 1259, 67, 36, 1416, 1027, 1618, 1217, 356, 639, 399, 18, 1422, 448, 1664, 1751, 1691, 1448, 1175, 927, 1611, 1082, 1735, 1001, 827, 410, 76, 969, 454, 836, 1280, 979, 756, 48, 1682, 1766, 1537, 1649, 98, 1684, 1637, 1433, 1466, 368, 1815, 1588, 1555, 1456, 1707, 981, 1121, 1664, 1638, 276, 863, 1091, 822, 1637, 1462, 545, 1819, 1229, 557, 1625, 571, 992, 1160, 73, 333, 1186, 796, 629, 1703, 853, 1255, 828, 1228, 593, 1287, 850, 755, 1505, 1042, 1774, 783, 1401, 562, 783, 1749, 1612, 1678, 362, 1750, 1489, 1129, 359, 870, 25, 1726, 81, 1126, 1620, 725, 593, 938, 847, 317, 591, 1177, 1304, 907, 687, 1625, 1358, 789, 831, 938, 1718, 1631, 67, 1217, 1287, 1823, 665, 1210, 1353, 375, 1392, 931, 1804, 790, 836, 1380, 882, 1444, 1248, 1588, 875, 169, 1306, 1235, 1053, 986, 165, 219, 244, 167, 128011, 128001 ]

[ 128000, 128002, 4516, 499, 7752, 649, 3604, 11, 499, 1440, 11, 1518, 1063, 16795, 656, 4084, 1418, 358, 2846, 3201, 13, 2030, 22371, 11, 1633, 13548, 3115, 5108, 709, 13, 362, 2763, 315, 7155, 6946, 13, 1472, 1440, 11, 279, 832, 2835, 358, 2163, 13847, 11, 902, 358, 1541, 956, 1440, 422, 430, 690, 2586, 704, 520, 430, 892, 11, 374, 279, 11799, 735, 653, 90274, 13, 2030, 3060, 1648, 11, 499, 1440, 11, 439, 5246, 439, 358, 5371, 430, 1162, 11, 358, 690, 2231, 279, 2835, 704, 13, 2100, 3508, 433, 387, 1603, 430, 11, 3508, 433, 387, 1306, 430, 11, 8996, 433, 374, 11, 128003, 128005, 34, 1039, 166, 1027, 533, 189, 911, 767, 1046, 1320, 352, 1605, 886, 1100, 117, 352, 1765, 466, 1417, 293, 1196, 1295, 1447, 937, 639, 974, 1004, 1087, 177, 1256, 1037, 1341, 837, 910, 1273, 1738, 250, 837, 974, 786, 1382, 1352, 308, 653, 1334, 1388, 131, 938, 1719, 291, 1290, 665, 1219, 901, 632, 938, 147, 1414, 277, 1171, 1083, 1364, 816, 1372, 230, 809, 1215, 973, 1380, 286, 1518, 132, 198, 1161, 10, 407, 1412, 328, 1777, 1476, 1519, 1253, 695, 701, 890, 1674, 1073, 1766, 1141, 400, 860, 1344, 609, 1167, 711, 1261, 1435, 711, 1812, 385, 927, 1661, 1160, 556, 1412, 328, 1057, 1701, 1434, 809, 875, 1005, 322, 1073, 1313, 732, 1286, 821, 1554, 1485, 799, 1460, 885, 1454, 1744, 792, 852, 1100, 368, 1593, 1286, 1404, 1083, 1153, 1427, 1755, 1790, 1662, 399, 725, 26, 315, 1342, 6, 315, 1175, 10, 1300, 1083, 485, 1524, 1774, 399, 1427, 176, 631, 1240, 409, 52, 1403, 10, 454, 788, 1403, 903, 203, 1677, 333, 1394, 703, 1805, 1691, 1515, 1580, 848, 1565, 384, 583, 849, 700, 779, 713, 376, 1518, 409, 1563, 1827, 1724, 1382, 644, 619, 969, 1783, 858, 1564, 1460, 686, 1388, 743, 589, 1504, 76, 1197, 1179, 76, 339, 1131, 179, 147, 1504, 113, 711, 1472, 1059, 1424, 1163, 1178, 1668, 1448, 1125, 475, 1580, 711, 1049, 931, 1638, 1629, 759, 1419, 1352, 1682, 1346, 1038, 1638, 1096, 1313, 1436, 939, 1160, 1788, 1822, 1160, 1419, 1459, 1432, 1114, 1404, 785, 1144, 1255, 591, 1033, 1669, 933, 1010, 691, 1167, 761, 910, 1274, 955, 1150, 1272, 1204, 374, 1392, 816, 1260, 248, 1190, 718, 13, 1443, 1472, 1358, 1663, 1745, 1358, 1417, 1435, 741, 1014, 1308, 1097, 1392, 1256, 1263, 1801, 1320, 91, 1075, 1412, 1472, 1636, 702, 1640, 1438, 1731, 1758, 1462, 1275, 1487, 955, 1291, 191, 1418, 588, 1813, 843, 1778, 987, 1791, 709, 1696, 1093, 131, 1770, 803, 1267, 721, 293, 996, 1402, 135, 1056, 910, 100, 637, 910, 190, 1280, 903, 49, 9, 1056, 245, 1392, 1253, 1027, 1674, 1743, 1711, 1076, 1432, 1397, 1486, 0, 1023, 1752, 1282, 967, 1104, 1404, 1648, 1088, 891, 1292, 1170, 732, 707, 1378, 1006, 885, 776, 316, 838, 42, 1324, 882, 362, 1323, 1445, 189, 1257, 104, 1471, 67, 329, 511, 138, 104, 1105, 346, 402, 1068, 1168, 1462, 1584, 1422, 1449, 800, 807, 162, 98, 1455, 170, 1274, 868, 637, 909, 330, 47, 1464, 100, 1357, 181, 1690, 1056, 69, 1155, 882, 175, 1096, 1459, 648, 1002, 69, 844, 1329, 409, 154, 7, 510, 1438, 147, 1315, 157, 610, 352, 537, 232, 997, 798, 69, 1407, 1156, 202, 434, 1138, 1083, 1221, 1775, 1082, 1739, 1526, 176, 249, 298, 183, 1671, 1173, 632, 466, 658, 1431, 441, 768, 184, 764, 13, 203, 1345, 877, 1808, 1649, 1317, 1400, 1344, 1441, 190, 577, 911, 175, 1770, 767, 1790, 1135, 937, 794, 1300, 1081, 1410, 1656, 1731, 931, 98, 1310, 158, 1081, 931, 1001, 1476, 958, 532, 1812, 1647, 1593, 1313, 1651, 1471, 913, 770, 1452, 1256, 1171, 699, 557, 88, 1237, 1241, 463, 589, 225, 422, 1444, 1743, 1358, 1381, 1098, 1680, 1803, 1325, 1749, 1797, 1473, 721, 1463, 1484, 1252, 1825, 1189, 1015, 1533, 214, 1339, 1313, 1445, 1750, 1027, 1243, 1313, 759, 148, 1639, 1826, 1446, 1270, 1656, 1458, 440, 158, 748, 1021, 1638, 192, 629, 685, 1212, 291, 1800, 844, 429, 1145, 1342, 439, 1573, 844, 1591, 6, 648, 1691, 863, 1519, 1240, 1323, 1527, 1221, 716, 1375, 13, 1708, 656, 688, 1797, 892, 738, 1351, 607, 1777, 1389, 1396, 1830, 1828, 1739, 1436, 1815, 1098, 22, 1830, 1212, 1718, 1714, 1646, 1747, 1489, 1722, 1321, 995, 1510, 1556, 1556, 545, 1049, 1833, 439, 763, 1692, 629, 1509, 1517, 1326, 969, 455, 1069, 1355, 1373, 1498, 1460, 748, 481, 1164, 1615, 703, 1483, 650, 1307, 129, 310, 1655, 1225, 1769, 510, 443, 1381, 1094, 1297, 618, 1472, 1041, 306, 1275, 254, 359, 546, 1105, 547, 55, 865, 93, 1248, 1056, 593, 1536, 1015, 269, 1263, 1174, 604, 147, 352, 1160, 299, 1263, 1366, 1350, 1542, 570, 794, 1342, 577, 1400, 202, 407, 1088, 581, 1400, 1379, 634, 1707, 1094, 855, 1487, 599, 1122, 113, 382, 173, 1407, 402, 1825, 596, 629, 1796, 1098, 1591, 1596, 328, 1748, 1410, 1351, 621, 310, 506, 1712, 19, 737, 1670, 730, 856, 1766, 1095, 1829, 1221, 506, 377, 1473, 646, 1829, 600, 416, 518, 454, 876, 759, 1025, 1433, 1300, 1832, 714, 1238, 1823, 631, 1631, 1690, 1450, 1807, 1798, 1627, 1779, 1644, 1418, 1727, 1510, 936, 624, 929, 970, 1037, 1456, 729, 1316, 1402, 1245, 1135, 1030, 1320, 565, 1454, 579, 1204, 961, 1466, 741, 803, 1212, 1368, 1786, 1243, 1166, 1280, 1731, 371, 1304, 864, 1466, 614, 1729, 521, 1509, 1221, 818, 945, 1295, 1369, 1745, 1049, 1462, 1311, 1245, 407, 1414, 1397, 782, 411, 1701, 1088, 952, 1337, 1441, 1769, 117, 1707, 1305, 1153, 699, 1778, 535, 589, 182, 393, 632, 872, 339, 1013, 63, 724, 359, 1360, 664, 646, 1741, 424, 1614, 997, 1472, 1004, 1124, 1394, 998, 1634, 294, 1695, 1155, 363, 1805, 1062, 469, 1185, 1357, 1640, 1474, 1456, 121, 692, 1373, 1474, 1362, 1491, 585, 606, 1071, 691, 1704, 1125, 1447, 1556, 1005, 1700, 117, 790, 1637, 1178, 1202, 1107, 446, 116, 1611, 1369, 753, 1415, 1506, 573, 600, 985, 552, 604, 88, 1325, 164, 352, 1335, 1075, 626, 1468, 809, 1630, 940, 1384, 1830, 1697, 905, 1404, 955, 1471, 1261, 1194, 794, 985, 977, 903, 1008, 240, 459, 58, 1297, 9, 245, 764, 354, 983, 295, 1318, 1407, 1320, 1275, 1385, 22, 1337, 592, 368, 1448, 1232, 370, 1055, 557, 364, 595, 1041, 874, 456, 966, 756, 302, 346, 1726, 1400, 1259, 803, 1468, 1620, 1010, 1188, 1357, 1822, 1436, 1813, 1364, 1711, 1746, 989, 1777, 1476, 454, 1716, 793, 1099, 1373, 1334, 1071, 680, 649, 594, 1343, 1498, 1680, 286, 1488, 67, 648, 840, 137, 473, 1732, 510, 315, 22, 749, 1773, 22, 1342, 1326, 1400, 374, 1407, 980, 1759, 1388, 1646, 1829, 599, 1364, 1601, 333, 1086, 931, 962, 388, 30, 1365, 750, 512, 483, 310, 640, 298, 1240, 213, 848, 1379, 1283, 1832, 1513, 1797, 58, 773, 1517, 1290, 1259, 1119, 318, 569, 1678, 645, 695, 1620, 911, 1272, 1416, 1221, 1429, 790, 112, 1314, 874, 1605, 836, 1239, 715, 835, 1748, 1249, 1662, 1132, 1132, 215, 1129, 777, 236, 1192, 524, 855, 164, 424, 570, 798, 940, 1216, 1291, 1279, 679, 471, 181, 870, 546, 362, 1682, 609, 1402, 780, 1047, 1527, 864, 1819, 1166, 1674, 679, 1797, 1620, 1339, 976, 1490, 1699, 117, 1806, 1175, 1808, 1799, 767, 1799, 719, 1091, 1813, 1329, 1496, 1373, 885, 984, 566, 578, 229, 418, 1793, 1511, 721, 1393, 230, 116, 1696, 1, 753, 1463, 546, 1741, 1308, 202, 1353, 1563, 1712, 481, 726, 764, 825, 546, 429, 203, 1521, 873, 1770, 376, 539, 345, 1141, 472, 127, 1117, 467, 116, 980, 579, 798, 6, 13, 1019, 1024, 1134, 1394, 217, 1469, 689, 1426, 455, 1532, 1117, 1252, 901, 738, 1803, 642, 1285, 1253, 840, 1342, 1015, 1606, 407, 1552, 132, 648, 1375, 315, 1027, 1651, 844, 825, 1247, 1649, 1311, 858, 856, 1416, 1374, 1149, 1005, 1799, 58, 15, 508, 1673, 1287, 1485, 907, 205, 532, 1320, 1101, 610, 13, 1172, 985, 456, 1701, 395, 437, 1134, 214, 1219, 870, 615, 1287, 858, 416, 52, 519, 0, 6, 1451, 1500, 1061, 297, 1728, 398, 753, 1267, 833, 753, 1659, 1535, 1593, 1164, 590, 685, 697, 1124, 1053, 147, 1326, 522, 1059, 374, 1799, 1815, 1433, 400, 1411, 1432, 416, 1162, 1308, 605, 83, 1626, 687, 1814, 510, 1381, 812, 514, 1779, 863, 1368, 233, 315, 1018, 448, 1337, 736, 154, 1500, 640, 1691, 1707, 1546, 1713, 1714, 1379, 438, 1170, 1638, 1322, 872, 1763, 1306, 1313, 1114, 902, 1730, 1114, 1205, 17, 334, 661, 1131, 1391, 841, 632, 1220, 658, 260, 1422, 841, 1690, 388, 932, 1351, 120, 1769, 593, 1601, 941, 1244, 411, 875, 1542, 557, 1626, 73, 385, 1698, 662, 1763, 861, 1622, 1701, 0, 1226, 1435, 1031, 491, 1575, 1720, 1446, 495, 1637, 910, 1805, 565, 1266, 1633, 1809, 37, 1142, 1432, 1833, 813, 1021, 626, 1617, 1765, 1684, 1513, 1513, 1109, 817, 657, 426, 510, 792, 1310, 1233, 73, 1319, 621, 1360, 1140, 1766, 306, 1032, 142, 1125, 82, 719, 210, 1466, 212, 1453, 587, 1682, 518, 1693, 816, 1689, 1345, 1649, 18, 67, 1354, 1161, 1462, 665, 616, 1691, 965, 1786, 1497, 945, 256, 1401, 627, 580, 1185, 386, 647, 407, 1102, 1261, 1200, 1249, 736, 987, 1104, 373, 636, 374, 1028, 433, 1158, 384, 662, 1631, 1775, 111, 1268, 1489, 792, 881, 1353, 1, 1409, 10, 1048, 1299, 707, 353, 387, 1462, 1483, 1471, 1325, 127, 1624, 1139, 1808, 1139, 176, 1703, 1270, 1397, 1193, 1326, 770, 1515, 1692, 480, 1698, 583, 783, 834, 255, 609, 1476, 1281, 508, 688, 1789, 300, 797, 2, 441, 349, 958, 550, 155, 1280, 715, 937, 1349, 1129, 1472, 1099, 1443, 1037, 1282, 1131, 1028, 1314, 971, 1134, 1260, 460, 1309, 693, 964, 933, 751, 933, 377, 1727, 1244, 724, 795, 971, 1198, 1025, 59, 1469, 710, 538, 630, 1045, 1000, 1286, 1192, 479, 1127, 113, 1500, 1388, 1637, 1537, 1443, 1292, 422, 732, 52, 898, 1002, 1463, 969, 1233, 353, 1067, 1443, 406, 962, 1372, 865, 1069, 731, 774, 368, 1241, 1189, 324, 993, 880, 364, 1101, 142, 186, 1264, 76, 1182, 53, 1117, 1136, 945, 1411, 1620, 1434, 1680, 923, 1094, 1059, 1042, 1063, 750, 211, 1176, 678, 572, 1004, 1461, 994, 1411, 306, 1690, 637, 1207, 756, 370, 1402, 1261, 1122, 547, 1036, 1234, 1422, 1698, 1251, 1216, 1131, 733, 1064, 307, 772, 1385, 751, 676, 1198, 988, 1829, 1186, 1443, 428, 1340, 1541, 759, 860, 721, 388, 764, 570, 827, 811, 1498, 1633, 1384, 1498, 742, 1317, 1636, 941, 364, 1516, 1119, 372, 1661, 182, 835, 1556, 821, 682, 182, 411, 454, 1270, 983, 293, 1392, 1009, 648, 112, 1794, 884, 678, 98, 713, 286, 175, 202, 1485, 1637, 176, 1704, 636, 1734, 1714, 471, 1665, 219, 165, 244, 244, 128011, 128001 ]

[ 128000, 128002, 40, 690, 2744, 656, 279, 1162, 653, 2054, 826, 6946, 7214, 1120, 5353, 13, 128003, 128005, 950, 387, 1298, 1227, 1089, 958, 221, 123, 1074, 571, 252, 1670, 1214, 628, 539, 758, 1256, 491, 1507, 1511, 610, 397, 1437, 475, 836, 1190, 697, 424, 63, 1226, 339, 575, 1634, 621, 481, 1400, 439, 1359, 13, 1152, 556, 616, 1580, 483, 1563, 315, 1415, 1617, 870, 1808, 398, 999, 825, 1284, 714, 935, 328, 1026, 1451, 1620, 1798, 1541, 581, 877, 493, 1640, 776, 1215, 1256, 440, 1568, 1465, 1332, 1611, 556, 877, 103, 1019, 767, 1427, 1700, 1387, 1678, 448, 1549, 1720, 1261, 55, 1496, 1056, 540, 996, 1011, 1312, 1687, 850, 1740, 1420, 1191, 1172, 569, 1089, 1063, 142, 956, 149, 628, 944, 1381, 1110, 1331, 481, 1420, 1812, 1421, 1412, 929, 1475, 1308, 750, 626, 1528, 1310, 1520, 117, 1663, 891, 1286, 334, 876, 1120, 1295, 1664, 1444, 1679, 1732, 1678, 640, 1755, 1614, 1359, 1464, 1354, 1535, 1758, 1370, 626, 1238, 1312, 368, 758, 1388, 852, 95, 1512, 57, 1319, 192, 1694, 1100, 1, 1100, 1832, 47, 583, 1291, 315, 1704, 529, 720, 1006, 858, 1743, 1734, 510, 1296, 1580, 1660, 1705, 1611, 1254, 361, 1649, 304, 931, 445, 774, 620, 576, 1151, 725, 935, 812, 479, 683, 1558, 296, 1280, 485, 1521, 1520, 749, 126, 1618, 631, 1264, 1061, 577, 125, 1645, 833, 944, 112, 1713, 901, 917, 1474, 1588, 158, 1787, 802, 687, 395, 865, 599, 703, 865, 1493, 1657, 440, 1661, 848, 1278, 1431, 230, 901, 415, 46, 117, 356, 320, 1631, 328, 1821, 878, 1410, 977, 1241, 697, 1520, 452, 610, 47, 1221, 58, 1342, 876, 57, 486, 1345, 183, 519, 183, 848, 1225, 230, 719, 1797, 176, 1524, 1436, 957, 165, 156, 244, 244, 128011, 128001 ]

[ 128000, 128002, 2675, 1440, 11, 358, 1390, 311, 636, 279, 502, 6392, 704, 311, 499, 7752, 439, 5246, 439, 3284, 11, 719, 264, 2763, 315, 6392, 358, 3077, 1027, 34988, 31445, 706, 1027, 2362, 6392, 11, 719, 499, 1440, 11, 430, 3250, 956, 3152, 433, 596, 14647, 28859, 13, 2100, 63445, 7752, 11, 14931, 369, 18302, 901, 13, 358, 1120, 4934, 311, 3041, 499, 430, 4062, 2697, 2713, 13, 2100, 358, 3358, 1518, 499, 7752, 5246, 369, 2500, 2835, 13, 90425, 1457, 13, 128003, 128005, 496, 766, 1118, 1638, 798, 1085, 1136, 1718, 656, 1526, 892, 1378, 1304, 521, 1318, 1352, 571, 1208, 76, 1282, 550, 1298, 937, 930, 73, 540, 1286, 593, 1644, 552, 987, 1129, 492, 1444, 1135, 514, 1477, 461, 1506, 892, 919, 374, 17, 1171, 444, 1652, 1541, 1478, 788, 512, 1324, 863, 252, 1527, 65, 1822, 236, 1084, 1146, 1339, 1658, 1710, 171, 1714, 1282, 1268, 1500, 545, 1535, 1594, 1789, 740, 983, 1244, 197, 895, 787, 865, 789, 1510, 725, 1006, 178, 835, 1370, 1636, 473, 276, 1300, 409, 202, 1400, 50, 28, 938, 1175, 708, 1541, 958, 809, 1337, 798, 1764, 1332, 1689, 1489, 1462, 1169, 1077, 324, 571, 1328, 152, 741, 1158, 768, 1265, 1472, 864, 1152, 1784, 1808, 1422, 230, 599, 1450, 6, 1774, 1349, 798, 608, 1488, 962, 1467, 1825, 1228, 916, 1139, 1140, 1662, 1220, 1066, 1481, 146, 725, 1621, 1124, 700, 1765, 183, 510, 1366, 1583, 117, 1431, 333, 1457, 176, 276, 1287, 6, 440, 1568, 1061, 1156, 1801, 725, 1765, 678, 1524, 1326, 1221, 1784, 1441, 315, 1563, 176, 1646, 957, 1664, 1064, 1489, 956, 1119, 753, 956, 1209, 412, 524, 1271, 1222, 65, 1477, 1433, 1272, 529, 1518, 132, 362, 333, 844, 1245, 1821, 1004, 1696, 1594, 1773, 1491, 1408, 1459, 718, 1744, 1083, 1460, 490, 1723, 1686, 355, 674, 929, 42, 1700, 622, 1463, 1110, 660, 1452, 1107, 1086, 57, 1141, 1488, 890, 1187, 482, 127, 138, 841, 403, 380, 446, 294, 260, 157, 300, 839, 47, 532, 972, 128, 1422, 1232, 1470, 128, 648, 52, 648, 1139, 213, 1376, 940, 1087, 303, 637, 723, 1113, 1135, 1086, 479, 1368, 1769, 1468, 1715, 1677, 589, 1311, 370, 424, 1519, 309, 352, 1636, 741, 828, 989, 828, 1236, 1256, 1590, 495, 809, 1392, 989, 755, 738, 701, 269, 859, 1166, 835, 1535, 1762, 1727, 1800, 1352, 1360, 1831, 984, 1699, 629, 729, 1637, 617, 1231, 1744, 835, 758, 1715, 1530, 1703, 1723, 1673, 701, 1794, 1527, 1459, 1591, 1810, 725, 490, 592, 191, 792, 725, 913, 1092, 79, 1025, 1680, 295, 1289, 1427, 1217, 953, 519, 1109, 1138, 1415, 1013, 1423, 362, 1187, 1310, 1296, 1275, 1263, 848, 1829, 1438, 1808, 1541, 1824, 1485, 1124, 1281, 510, 10, 1304, 1280, 848, 1726, 117, 1825, 1449, 930, 1806, 1801, 1513, 1821, 1393, 1513, 1793, 1436, 1724, 1822, 1364, 1419, 1434, 1665, 516, 1752, 933, 795, 1621, 1079, 571, 827, 560, 352, 1447, 1182, 797, 2, 1335, 1399, 822, 113, 98, 26, 295, 428, 592, 1394, 1711, 736, 1778, 1565, 495, 1165, 1173, 326, 500, 989, 872, 212, 1742, 596, 695, 333, 1326, 1519, 688, 1524, 1073, 744, 1306, 1499, 555, 1230, 594, 950, 1108, 674, 1771, 1065, 411, 150, 1748, 424, 1377, 1147, 935, 1653, 998, 1587, 718, 1603, 424, 1609, 456, 505, 721, 1713, 965, 22, 1014, 920, 936, 1698, 1117, 1323, 1322, 1402, 59, 1476, 1152, 1628, 1649, 1292, 507, 599, 636, 409, 1436, 746, 356, 1009, 154, 1549, 1510, 1349, 1279, 1051, 1122, 441, 361, 656, 977, 1814, 571, 997, 1208, 408, 1056, 1298, 1449, 1682, 1468, 1810, 1002, 1631, 1259, 239, 1623, 1746, 1421, 824, 1268, 918, 717, 666, 1601, 1261, 589, 1369, 479, 621, 231, 402, 1661, 277, 1013, 510, 1365, 1705, 1320, 1301, 1833, 1738, 594, 1099, 879, 199, 924, 832, 1772, 909, 1273, 1524, 269, 1555, 886, 716, 454, 1295, 1358, 1171, 1218, 940, 803, 1790, 941, 1494, 86, 269, 1164, 703, 91, 1671, 598, 601, 42, 984, 1601, 1433, 338, 744, 17, 1289, 710, 301, 899, 1362, 861, 1011, 1319, 555, 1255, 1023, 1051, 1492, 992, 1355, 1344, 644, 1699, 1692, 1508, 1411, 1827, 829, 1335, 629, 1492, 1393, 1468, 890, 920, 1363, 348, 1416, 1245, 1459, 1647, 502, 126, 1449, 1153, 1711, 1069, 1596, 877, 750, 1379, 682, 1596, 1493, 999, 1678, 312, 1771, 1654, 1712, 48, 1432, 1679, 1537, 1718, 625, 1455, 454, 1611, 1426, 1417, 895, 1267, 1717, 1602, 1653, 298, 731, 1565, 1627, 1141, 1622, 895, 197, 1257, 1098, 1001, 1156, 1261, 1697, 1485, 1340, 1387, 362, 22, 368, 0, 1494, 368, 1700, 176, 26, 1711, 1018, 485, 636, 454, 1671, 545, 1117, 1631, 657, 687, 1004, 1421, 789, 1439, 875, 1141, 627, 466, 930, 361, 1146, 1026, 1583, 1593, 1406, 1486, 150, 939, 1779, 939, 1128, 1652, 1320, 1263, 1158, 1644, 1069, 395, 1663, 938, 1237, 439, 1683, 1015, 1124, 1041, 688, 1462, 407, 1369, 1320, 1391, 1449, 1300, 150, 523, 1216, 693, 1631, 1795, 1504, 1034, 1428, 1306, 1364, 1658, 1436, 1524, 1279, 947, 1770, 1393, 1175, 1764, 1225, 1421, 378, 672, 563, 928, 154, 1547, 335, 1758, 1180, 690, 682, 104, 1109, 321, 243, 1444, 135, 1013, 1241, 192, 681, 367, 1785, 374, 1468, 904, 100, 1219, 65, 315, 1068, 949, 129, 362, 822, 129, 1801, 499, 1058, 864, 789, 901, 135, 699, 462, 128, 49, 1358, 910, 218, 1431, 1459, 725, 844, 320, 577, 1711, 1470, 416, 154, 510, 1147, 1087, 236, 1392, 162, 1015, 518, 215, 1588, 292, 1133, 697, 104, 480, 768, 1485, 1572, 886, 1485, 1796, 1241, 1487, 1324, 1389, 439, 1427, 1517, 693, 1755, 312, 120, 1331, 1392, 1194, 430, 1015, 500, 756, 1013, 499, 1174, 1253, 277, 1493, 1422, 903, 109, 1774, 1481, 1133, 1350, 1534, 787, 836, 312, 1281, 973, 1252, 1034, 907, 949, 858, 798, 1813, 1057, 1520, 952, 1422, 1166, 1558, 510, 1287, 183, 863, 1711, 679, 1402, 1431, 1324, 1124, 1075, 361, 297, 1004, 1287, 644, 1408, 1476, 1341, 1249, 1034, 1755, 815, 1035, 1661, 843, 1146, 979, 616, 1273, 28, 564, 1681, 1439, 564, 1250, 1270, 395, 1453, 750, 1221, 877, 1513, 474, 1780, 570, 934, 1310, 1459, 1257, 927, 1352, 42, 1774, 513, 1671, 1814, 1421, 1324, 1686, 1805, 719, 1806, 1347, 728, 388, 921, 367, 181, 1520, 1690, 1542, 905, 1611, 1755, 1730, 1351, 1417, 1410, 1202, 623, 1022, 629, 143, 297, 1068, 1412, 1184, 983, 1437, 909, 1321, 1195, 936, 1809, 1716, 1317, 571, 82, 1742, 299, 260, 1625, 797, 1564, 1126, 987, 1793, 1307, 1118, 1682, 1580, 1422, 848, 83, 576, 344, 870, 248, 1270, 599, 783, 541, 695, 1782, 1027, 935, 1688, 805, 792, 1287, 1114, 1738, 22, 1705, 1329, 1798, 1770, 1139, 1805, 1306, 1476, 1792, 1355, 1667, 1114, 1665, 287, 1244, 1688, 1302, 166, 1270, 1817, 1086, 291, 127, 1320, 829, 376, 847, 1365, 1088, 774, 124, 295, 416, 858, 631, 1009, 320, 1745, 388, 1387, 853, 190, 1219, 508, 198, 1049, 1827, 1552, 1348, 1332, 1330, 100, 687, 590, 270, 162, 1183, 390, 83, 100, 715, 580, 138, 52, 1347, 422, 357, 1739, 1690, 577, 502, 549, 132, 639, 1470, 1718, 1303, 1549, 1825, 1795, 1734, 1750, 1513, 1382, 1027, 315, 1549, 556, 18, 1349, 407, 713, 328, 7, 1513, 927, 700, 1001, 901, 1308, 1190, 46, 4, 138, 37, 549, 376, 136, 270, 1274, 407, 1339, 714, 1274, 882, 734, 1661, 1027, 1613, 1002, 368, 938, 1422, 1289, 855, 1308, 935, 104, 1633, 1453, 218, 941, 1581, 18, 1682, 987, 903, 282, 1295, 587, 887, 1497, 440, 1298, 1384, 521, 218, 662, 1127, 714, 1733, 756, 935, 1214, 1772, 1659, 178, 705, 1149, 528, 532, 1377, 788, 1590, 1061, 1058, 778, 374, 865, 138, 1829, 483, 590, 335, 1135, 1119, 479, 955, 1234, 756, 1156, 1026, 639, 480, 1118, 1455, 932, 1108, 1123, 1063, 1428, 1357, 523, 1118, 1251, 1003, 1338, 1033, 1623, 1474, 1233, 1293, 975, 1233, 1293, 585, 1385, 691, 676, 1424, 977, 87, 306, 83, 140, 959, 146, 1437, 152, 1819, 135, 1456, 270, 1686, 1645, 440, 1062, 775, 587, 825, 581, 178, 1252, 847, 973, 1237, 931, 1473, 903, 1075, 1312, 1272, 1155, 1392, 1462, 1092, 1716, 1462, 1775, 639, 534, 165, 219, 219, 244, 128011, 128001 ]

[ 128000, 128002, 12174, 7995, 11, 7995, 1633, 2204, 505, 1148, 21739, 1053, 656, 1457, 477, 1524, 304, 279, 1566, 5743, 315, 7895, 1667, 13, 128003, 128005, 640, 1292, 1589, 1373, 1245, 221, 84, 125, 462, 1452, 1324, 1814, 1701, 730, 1249, 1829, 1712, 67, 357, 858, 218, 714, 1082, 69, 1403, 931, 934, 112, 510, 466, 794, 1247, 1132, 858, 277, 576, 1422, 1808, 1790, 1700, 1385, 29, 1407, 1553, 376, 794, 1683, 113, 157, 440, 1745, 907, 7, 1748, 1748, 1513, 1833, 1664, 1681, 1731, 1383, 1804, 1685, 1609, 1672, 1664, 415, 1061, 409, 26, 10, 1056, 73, 346, 723, 364, 549, 1200, 346, 384, 395, 1642, 927, 55, 911, 104, 1069, 372, 1368, 1583, 1615, 920, 901, 373, 1220, 759, 553, 887, 1036, 179, 617, 1583, 1392, 665, 1757, 65, 1631, 376, 1375, 1380, 1608, 415, 372, 569, 231, 215, 943, 787, 1342, 858, 1485, 782, 1600, 1400, 863, 1638, 1774, 816, 1598, 775, 1385, 949, 1751, 1785, 1791, 1546, 1759, 599, 328, 1091, 1337, 1830, 1318, 1444, 969, 964, 63, 867, 1726, 1502, 1502, 879, 779, 289, 1206, 871, 95, 818, 1596, 1481, 1077, 422, 1395, 93, 375, 1435, 1808, 1748, 678, 346, 1741, 321, 639, 1380, 1702, 1583, 1321, 626, 1108, 616, 479, 1681, 297, 137, 1703, 1326, 277, 1754, 733, 949, 1607, 1761, 1315, 200, 656, 1405, 1590, 1631, 603, 1616, 213, 1, 1320, 65, 1687, 682, 157, 640, 729, 903, 1761, 1681, 1294, 945, 1287, 1781, 949, 609, 1404, 115, 1034, 147, 1206, 300, 53, 656, 955, 402, 1235, 1212, 1204, 813, 412, 1253, 1437, 1420, 1265, 1192, 737, 1775, 1271, 63, 1734, 1192, 1696, 1647, 1804, 1662, 1786, 73, 1590, 1015, 1417, 125, 1719, 695, 1542, 783, 384, 98, 407, 1662, 104, 1810, 407, 1281, 1382, 1284, 57, 1247, 1772, 113, 1685, 13, 1532, 467, 375, 1075, 277, 1722, 949, 1700, 949, 759, 1407, 57, 1782, 125, 1799, 159, 892, 1187, 106, 1758, 660, 36, 1123, 83, 1443, 1055, 39, 1245, 1680, 510, 52, 399, 407, 117, 1343, 1722, 1458, 522, 28, 1420, 755, 106, 813, 1492, 1084, 1601, 1405, 1181, 1123, 1110, 429, 1615, 221, 1075, 1501, 1340, 176, 1744, 1434, 359, 1647, 352, 1241, 88, 1349, 1384, 1800, 1798, 1353, 230, 18, 868, 901, 1817, 110, 0, 1419, 1558, 202, 1180, 1451, 110, 1663, 305, 1161, 234, 195, 217, 286, 983, 1009, 305, 705, 749, 1656, 218, 1485, 1731, 556, 1358, 1161, 1700, 1079, 788, 1741, 1375, 50, 1139, 507, 18, 1091, 6, 1422, 1146, 546, 1343, 888, 1623, 1114, 820, 1360, 1704, 820, 950, 1721, 1609, 1760, 1451, 785, 165, 156, 453, 244, 128011, 128001 ]

[ 128000, 128002, 24220, 11, 433, 596, 5128, 10269, 11, 499, 649, 990, 449, 433, 13, 128003, 128005, 800, 599, 1494, 1235, 858, 1015, 1349, 46, 488, 483, 774, 887, 243, 1260, 215, 1073, 580, 430, 1166, 1350, 1459, 1624, 1686, 422, 898, 152, 137, 1682, 1295, 1332, 1763, 1129, 1332, 1707, 1178, 1737, 1076, 142, 1258, 1742, 1524, 360, 1220, 1637, 1495, 1261, 1228, 1462, 1370, 668, 1611, 1627, 1121, 1797, 1086, 546, 965, 308, 621, 689, 422, 1832, 67, 1663, 556, 1620, 1238, 183, 1217, 230, 1535, 924, 1609, 301, 995, 426, 1432, 1088, 416, 1138, 53, 1345, 816, 206, 920, 48, 344, 409, 969, 1022, 1034, 780, 443, 1238, 1558, 1633, 1027, 1616, 1412, 749, 1513, 1364, 634, 1229, 1304, 1344, 462, 679, 497, 271, 708, 271, 829, 370, 887, 441, 1275, 524, 1165, 1111, 1206, 1794, 1185, 1611, 1688, 1329, 298, 1027, 767, 714, 1355, 979, 848, 1230, 308, 28, 821, 368, 1347, 1703, 1614, 751, 694, 1079, 1456, 1578, 1816, 1826, 865, 836, 1718, 346, 1789, 794, 1302, 196, 1397, 117, 1130, 767, 1437, 1455, 697, 1336, 1712, 924, 787, 1774, 1708, 753, 1798, 127, 1755, 1743, 1509, 1374, 1789, 1467, 1312, 1760, 1655, 1384, 1609, 1157, 1640, 625, 1704, 1348, 1672, 1251, 1740, 575, 807, 1773, 618, 1167, 108, 354, 368, 112, 1803, 47, 600, 1364, 1723, 1704, 1810, 740, 1373, 1525, 926, 1810, 123, 128, 1727, 1407, 1597, 1801, 1429, 1077, 270, 428, 1429, 1102, 181, 1431, 1098, 1492, 1762, 1410, 986, 672, 1677, 1079, 22, 1067, 219, 165, 453, 244, 128011, 128001 ]

[ 128000, 128002, 2028, 374, 264, 3185, 12, 50839, 11, 577, 35401, 11, 433, 596, 1120, 5015, 389, 832, 6964, 11, 779, 433, 596, 10269, 389, 279, 1023, 11, 779, 499, 649, 1120, 1131, 128003, 128005, 1813, 1430, 1702, 1356, 658, 47, 87, 243, 397, 774, 263, 1, 1369, 768, 1460, 1825, 1535, 875, 1706, 1624, 966, 140, 96, 794, 112, 157, 289, 1470, 356, 870, 592, 648, 870, 263, 1139, 1031, 798, 79, 46, 289, 973, 596, 648, 362, 298, 175, 780, 213, 794, 1086, 927, 295, 84, 1498, 50, 39, 1498, 129, 73, 1450, 192, 1656, 320, 621, 18, 102, 1459, 452, 937, 639, 1788, 565, 22, 907, 1241, 552, 943, 13, 1088, 648, 1296, 315, 298, 1139, 592, 231, 599, 315, 943, 357, 253, 1139, 1178, 352, 456, 1682, 115, 518, 1636, 159, 1742, 215, 1402, 422, 1731, 76, 989, 926, 947, 568, 1828, 560, 1227, 552, 254, 1113, 1165, 708, 81, 1171, 708, 1135, 723, 642, 1393, 1181, 1054, 1273, 447, 715, 1711, 512, 218, 28, 178, 631, 344, 202, 28, 833, 858, 1375, 872, 1638, 1322, 1722, 1614, 1749, 1327, 1011, 1704, 694, 1142, 1543, 325, 751, 1543, 1233, 1348, 666, 735, 1244, 933, 735, 1016, 799, 1142, 1284, 740, 1448, 1748, 1324, 951, 715, 83, 1583, 93, 471, 934, 157, 1731, 236, 1292, 221, 870, 806, 277, 1806, 76, 1451, 934, 768, 1804, 446, 938, 1449, 1671, 1749, 297, 1565, 1572, 1708, 1713, 121, 1668, 1479, 1108, 1749, 995, 1248, 426, 905, 766, 1668, 1294, 1602, 866, 1284, 1510, 923, 862, 1570, 1807, 1439, 1679, 1335, 1226, 357, 798, 543, 1047, 178, 1427, 1139, 1762, 1411, 1376, 1718, 6, 298, 344, 556, 1238, 767, 202, 788, 62, 654, 1688, 101, 387, 710, 820, 1543, 253, 1, 983, 1180, 454, 102, 1353, 656, 1521, 315, 556, 863, 556, 1379, 1730, 1623, 1255, 1496, 1494, 1720, 205, 600, 927, 553, 19, 76, 1356, 309, 1424, 271, 907, 461, 855, 791, 1449, 700, 1807, 1502, 1171, 525, 95, 1347, 39, 1814, 1392, 1340, 1737, 1698, 519, 1766, 1407, 1649, 9, 47, 492, 1690, 390, 1820, 260, 1598, 1772, 1620, 1485, 1649, 1047, 1685, 1709, 1521, 1691, 1687, 1790, 1717, 899, 1713, 672, 1465, 1724, 1705, 1321, 1548, 1163, 1693, 1815, 926, 1598, 1829, 159, 1365, 860, 354, 57, 492, 860, 1674, 997, 1448, 142, 579, 1064, 951, 254, 1212, 1154, 115, 18, 1014, 1002, 1802, 1659, 1519, 1701, 1241, 434, 1040, 581, 947, 1261, 292, 1230, 1256, 1036, 1079, 1306, 838, 1248, 1215, 523, 566, 284, 1475, 608, 1730, 1205, 1412, 1788, 1230, 1568, 1668, 1099, 1747, 1079, 672, 1419, 676, 1151, 1721, 888, 1527, 731, 10, 510, 1082, 202, 788, 1005, 475, 1351, 621, 860, 1813, 142, 1797, 1179, 1403, 1175, 1532, 198, 863, 546, 430, 1450, 979, 865, 1327, 1546, 1707, 1215, 1519, 723, 116, 1812, 115, 951, 147, 1042, 860, 719, 1485, 382, 546, 28, 510, 4, 822, 1018, 1282, 1140, 1378, 359, 836, 1123, 1482, 1781, 1784, 1742, 755, 1568, 1493, 208, 1546, 1629, 146, 1777, 907, 215, 1517, 205, 1563, 1741, 1805, 1344, 628, 1075, 1227, 839, 277, 1310, 1001, 1325, 1325, 1633, 878, 1781, 1711, 1146, 1322, 1524, 1631, 1205, 1375, 1293, 1360, 1589, 1346, 1059, 1701, 1623, 1329, 1654, 1632, 1139, 1543, 1313, 1215, 1805, 1230, 1781, 1322, 1329, 1696, 1205, 1687, 1011, 1130, 1805, 1648, 1306, 1628, 1292, 1600, 1176, 1496, 1644, 1343, 1513, 426, 1687, 1688, 1669, 1637, 1383, 1589, 1583, 1510, 1665, 1654, 1694, 1225, 1383, 1667, 1687, 1643, 1707, 1751, 1614, 885, 1600, 1711, 1459, 1755, 1762, 1360, 1650, 1293, 888, 1798, 821, 129, 1364, 335, 230, 989, 67, 493, 769, 592, 1361, 1761, 321, 521, 1814, 965, 181, 903, 1126, 1553, 828, 277, 1549, 5, 642, 788, 1534, 1175, 1812, 751, 1532, 1821, 1504, 485, 1708, 1831, 1018, 949, 989, 1620, 493, 1688, 1348, 1036, 642, 996, 1176, 203, 1661, 1807, 1662, 654, 183, 592, 1400, 628, 587, 1828, 113, 714, 1542, 154, 206, 870, 596, 452, 1139, 181, 1217, 746, 556, 1021, 541, 1546, 1543, 1681, 1565, 1432, 316, 165, 219, 244, 128011, 128001 ]

[ 128000, 128002, 4516, 1070, 527, 1063, 2574, 499, 656, 1205, 264, 5602, 369, 13, 2100, 584, 3358, 1120, 4018, 279, 31787, 82, 1022, 311, 1404, 13, 128003, 128005, 634, 1754, 1354, 28, 1519, 6, 230, 454, 335, 1410, 1307, 1178, 88, 1281, 790, 569, 328, 107, 1498, 549, 1493, 1354, 1368, 1400, 270, 352, 1473, 1829, 1356, 587, 13, 102, 252, 1389, 1411, 210, 532, 1492, 390, 1804, 1229, 1700, 26, 1018, 848, 230, 1175, 780, 10, 1217, 855, 524, 1647, 903, 536, 1555, 1238, 789, 1741, 1678, 1732, 0, 1644, 719, 231, 1700, 1086, 1412, 550, 895, 467, 812, 1369, 1412, 1751, 1501, 1688, 1807, 1679, 202, 1485, 654, 645, 1134, 1437, 1091, 607, 849, 239, 1750, 1639, 1702, 1061, 882, 1252, 769, 703, 434, 1444, 1171, 1802, 806, 821, 1326, 1161, 1627, 1501, 1436, 1492, 364, 1334, 1015, 549, 930, 969, 218, 1292, 949, 713, 1569, 1675, 1259, 1209, 637, 1518, 1678, 440, 230, 344, 50, 1450, 1, 493, 1797, 730, 1658, 576, 774, 1675, 1095, 1409, 1679, 1333, 1674, 1799, 1696, 1790, 1450, 1451, 1364, 1552, 495, 1583, 1774, 1317, 1075, 1022, 1088, 1443, 966, 581, 1829, 1226, 1331, 1801, 1040, 1786, 1720, 1400, 1428, 1303, 1565, 1639, 1030, 1232, 797, 170, 1736, 324, 1256, 1706, 1178, 1011, 1438, 117, 692, 1496, 1311, 1173, 569, 768, 1147, 1344, 1088, 603, 1256, 1429, 1199, 1188, 1432, 1321, 1174, 571, 76, 658, 1223, 1280, 1476, 464, 1177, 1817, 971, 1053, 933, 513, 1165, 386, 958, 1129, 254, 1719, 1716, 1309, 692, 1475, 1632, 1038, 1186, 1126, 1388, 1483, 1177, 880, 271, 1375, 1622, 1481, 1652, 717, 1316, 984, 1181, 1458, 832, 460, 1311, 474, 370, 1162, 1245, 1634, 861, 1481, 967, 229, 1276, 1213, 1455, 1677, 486, 1297, 1517, 1122, 1110, 1232, 1700, 1798, 1455, 1126, 1380, 42, 1420, 627, 1378, 1652, 601, 1424, 1481, 393, 1475, 1611, 1713, 1760, 485, 1363, 1313, 778, 1238, 685, 750, 1361, 1232, 1259, 910, 1206, 950, 408, 1399, 1380, 809, 1742, 406, 959, 1784, 946, 361, 1285, 730, 1751, 1083, 1714, 1293, 1236, 749, 731, 319, 1345, 1526, 715, 1068, 1436, 1451, 175, 18, 1370, 1238, 333, 1797, 1700, 1805, 1504, 1730, 1319, 1380, 820, 905, 1128, 301, 729, 570, 719, 1226, 1018, 1272, 475, 1075, 441, 291, 1761, 1276, 936, 885, 1227, 1123, 19, 1147, 326, 1146, 318, 972, 980, 1426, 1598, 849, 1640, 1439, 1631, 1415, 1494, 308, 425, 911, 806, 1375, 552, 701, 730, 1225, 552, 1519, 626, 782, 737, 791, 1251, 1764, 1677, 1386, 1277, 1211, 1003, 1707, 1783, 1806, 1253, 1726, 1720, 1247, 1253, 1245, 560, 82, 1166, 1042, 277, 1010, 1124, 1351, 1750, 1499, 1743, 1756, 870, 129, 1238, 884, 4, 1173, 1210, 966, 1281, 107, 1716, 973, 1308, 1833, 1696, 1741, 1586, 1436, 183, 1703, 1705, 1628, 1573, 556, 129, 788, 493, 1651, 1647, 926, 239, 1670, 176, 409, 117, 1363, 328, 1034, 1283, 767, 1701, 1429, 475, 1780, 467, 1245, 1189, 123, 1237, 1260, 737, 57, 1086, 1771, 1100, 547, 1588, 1658, 441, 1600, 1787, 440, 510, 634, 398, 1027, 1074, 863, 1422, 1177, 1310, 1820, 1041, 1588, 1720, 1241, 1761, 513, 165, 156, 244, 244, 167, 128011, 128001 ]

[ 128000, 128002, 2028, 9417, 315, 279, 10860, 18181, 374, 7263, 311, 499, 555, 6122, 35, 23290, 13, 1102, 596, 6122, 1489, 323, 6122, 35, 23290, 374, 1618, 311, 1520, 499, 10536, 1089, 2930, 13, 5256, 701, 3997, 3432, 449, 400, 606, 1486, 3116, 11888, 916, 13, 19545, 6122, 35, 23290, 916, 323, 3810, 27969, 2082, 12093, 33574, 7895, 323, 36498, 86703, 311, 636, 701, 662, 884, 369, 1120, 400, 606, 1486, 3116, 11888, 13, 4427, 9669, 3881, 13, 3580, 3997, 369, 3649, 13, 128003, 128005, 666, 624, 1437, 1646, 697, 155, 1221, 626, 243, 1833, 368, 415, 582, 1483, 1065, 531, 1726, 0, 552, 271, 956, 1203, 776, 175, 625, 651, 552, 1331, 1174, 1033, 286, 1561, 1522, 1679, 1167, 1169, 1259, 380, 1435, 1046, 170, 495, 1234, 1600, 477, 1074, 1368, 1092, 1802, 1377, 1102, 1237, 1180, 571, 1766, 458, 1037, 900, 1187, 1180, 983, 910, 303, 488, 525, 924, 375, 40, 1428, 94, 1701, 183, 636, 1528, 1513, 1456, 700, 1433, 163, 1435, 1518, 264, 1819, 513, 638, 1254, 984, 1722, 1325, 1093, 1199, 934, 489, 1200, 300, 868, 982, 1310, 925, 1157, 1754, 168, 1181, 1637, 1483, 1218, 1828, 1187, 1438, 206, 910, 1232, 208, 813, 1453, 1441, 1551, 1617, 906, 1570, 1489, 1350, 898, 1321, 230, 1299, 1453, 1536, 256, 1211, 666, 813, 494, 1005, 678, 754, 271, 690, 1333, 579, 921, 406, 1510, 1302, 1524, 1387, 930, 154, 1705, 1525, 1521, 617, 1503, 1158, 1621, 1527, 71, 922, 1174, 375, 236, 922, 1492, 7, 1113, 1274, 906, 258, 1640, 561, 334, 819, 858, 467, 80, 152, 229, 123, 1301, 511, 62, 1425, 1480, 1521, 1197, 411, 1351, 1323, 1630, 1690, 1341, 1192, 1099, 1667, 1490, 1728, 226, 1052, 1474, 130, 1759, 862, 1103, 1818, 646, 845, 666, 624, 1475, 862, 1162, 1666, 30, 997, 179, 1826, 1236, 91, 533, 273, 1287, 863, 1815, 1064, 885, 1137, 138, 864, 531, 1271, 137, 847, 873, 708, 1535, 226, 344, 1, 1225, 1621, 632, 674, 1173, 720, 1189, 186, 883, 282, 1100, 1018, 412, 486, 1460, 118, 1056, 1103, 104, 1505, 213, 1454, 1728, 1594, 144, 1712, 97, 58, 1300, 1156, 138, 29, 580, 516, 452, 613, 595, 149, 930, 1597, 900, 1475, 741, 157, 918, 179, 1105, 1328, 186, 1154, 309, 1279, 1502, 1269, 1092, 483, 1064, 673, 132, 584, 153, 1209, 911, 1308, 1762, 1549, 1557, 519, 176, 838, 1364, 1164, 1458, 1565, 1385, 203, 249, 1463, 376, 617, 912, 308, 881, 1399, 892, 831, 1463, 1399, 160, 1432, 1411, 1380, 1526, 775, 102, 403, 1141, 320, 1762, 442, 1634, 509, 1822, 1360, 594, 1539, 782, 598, 1768, 1668, 139, 1705, 578, 1391, 1524, 785, 982, 1502, 1448, 52, 934, 912, 556, 334, 1112, 857, 378, 1223, 1667, 1227, 1484, 474, 1489, 142, 1517, 83, 1110, 545, 535, 489, 1638, 1340, 540, 1641, 1561, 1717, 1046, 771, 847, 908, 532, 764, 728, 609, 1000, 1593, 1649, 810, 646, 1392, 91, 1505, 1208, 1357, 1186, 737, 1705, 1420, 1706, 1186, 1794, 1378, 1395, 1045, 1065, 1660, 1491, 1718, 542, 1213, 1244, 630, 1504, 1016, 1385, 1660, 906, 1664, 485, 333, 961, 1397, 106, 188, 1194, 245, 1241, 1111, 1718, 1813, 756, 1021, 284, 614, 483, 1321, 1046, 978, 1165, 364, 860, 477, 873, 441, 335, 261, 1822, 1568, 1334, 1376, 1577, 1111, 915, 565, 847, 1111, 308, 521, 1534, 1634, 44, 1556, 415, 519, 1481, 882, 1406, 1659, 883, 1095, 231, 991, 926, 409, 878, 430, 1047, 111, 1651, 1015, 111, 658, 1764, 568, 1510, 16, 1202, 1097, 1272, 145, 1810, 16, 1759, 1210, 549, 422, 353, 402, 511, 879, 324, 521, 326, 116, 629, 500, 289, 13, 1415, 661, 549, 720, 1779, 85, 1536, 1351, 851, 1421, 1585, 988, 613, 1368, 942, 951, 1698, 1207, 295, 1765, 1245, 124, 879, 1485, 1215, 1826, 700, 327, 1125, 441, 1268, 518, 499, 771, 357, 1198, 356, 1234, 1657, 1712, 97, 363, 1710, 873, 25, 1183, 574, 537, 1122, 238, 524, 1636, 954, 1430, 1163, 971, 1072, 1780, 1079, 924, 987, 1159, 427, 1466, 1303, 840, 574, 1271, 1489, 951, 1112, 961, 1821, 810, 795, 1051, 449, 1479, 1721, 1705, 1669, 692, 1756, 770, 589, 882, 1752, 1539, 71, 1423, 577, 755, 243, 807, 1467, 968, 223, 1154, 387, 373, 39, 1392, 563, 153, 267, 1067, 1161, 702, 1604, 1328, 1204, 170, 1309, 723, 186, 915, 146, 1803, 229, 315, 962, 966, 1358, 169, 15, 64, 1066, 1117, 1201, 827, 300, 797, 589, 1095, 1356, 176, 220, 1675, 1601, 1181, 1072, 1321, 1418, 1738, 593, 655, 1111, 883, 1261, 860, 720, 1045, 461, 37, 1461, 1537, 35, 1649, 816, 655, 794, 624, 860, 1118, 364, 1144, 371, 936, 1366, 144, 1382, 982, 522, 982, 375, 32, 1236, 1687, 401, 1683, 1479, 516, 852, 1301, 1058, 1017, 1097, 1027, 1372, 456, 327, 1294, 1685, 1346, 1022, 611, 698, 847, 1450, 1113, 653, 145, 1724, 169, 586, 1316, 470, 724, 1044, 1804, 577, 394, 449, 556, 777, 908, 648, 761, 1425, 786, 1453, 1525, 1037, 1062, 1465, 1685, 752, 807, 1383, 1596, 706, 1138, 1710, 197, 234, 894, 1021, 1217, 1685, 1283, 786, 1703, 749, 1383, 749, 839, 1169, 1468, 801, 1198, 1296, 862, 1625, 120, 111, 1141, 1483, 1087, 95, 629, 569, 1414, 168, 1636, 136, 1583, 1603, 712, 1199, 396, 657, 229, 1102, 388, 538, 324, 247, 277, 392, 697, 513, 865, 1352, 1449, 1407, 560, 580, 1193, 172, 655, 461, 1199, 466, 1432, 974, 507, 145, 1709, 316, 1218, 1057, 698, 1608, 180, 1829, 1017, 157, 1223, 813, 533, 258, 1751, 485, 1228, 546, 1765, 908, 1166, 843, 333, 91, 763, 1754, 458, 1760, 1328, 236, 922, 711, 186, 705, 626, 321, 55, 1141, 1747, 696, 1292, 301, 1106, 1197, 1289, 1746, 1314, 861, 997, 489, 1716, 446, 900, 142, 1198, 828, 1772, 60, 1715, 1572, 1425, 1510, 1578, 1829, 489, 1823, 1444, 582, 763, 1694, 1344, 149, 277, 1635, 1552, 652, 1302, 1654, 1580, 1642, 1568, 1147, 792, 564, 750, 35, 256, 1205, 832, 371, 942, 321, 1174, 394, 1253, 462, 80, 521, 864, 789, 367, 536, 36, 1022, 304, 1687, 1601, 601, 1128, 1033, 449, 1330, 369, 327, 639, 117, 647, 111, 1146, 778, 1000, 1464, 507, 970, 633, 1257, 1268, 941, 358, 1111, 720, 1110, 872, 1138, 133, 1193, 1385, 1406, 1724, 1572, 1181, 1632, 1032, 1699, 1525, 1456, 1327, 1570, 1795, 1587, 1571, 1679, 1778, 390, 1153, 212, 1106, 107, 464, 95, 684, 188, 931, 1286, 953, 754, 1417, 1054, 43, 1799, 322, 1634, 1609, 554, 1790, 806, 762, 87, 992, 731, 1147, 1581, 154, 1020, 166, 1366, 1211, 1649, 716, 1336, 1764, 559, 1773, 1591, 897, 1177, 1399, 1467, 1734, 566, 1118, 1033, 751, 1465, 1414, 1001, 422, 482, 58, 83, 1229, 588, 164, 922, 364, 579, 675, 687, 1002, 675, 319, 1691, 754, 1374, 1274, 1768, 1599, 1602, 362, 34, 1669, 1817, 1529, 865, 4, 1356, 1023, 714, 706, 237, 416, 302, 912, 52, 116, 1317, 88, 1379, 646, 1621, 505, 1648, 1717, 1085, 1546, 1633, 1095, 764, 580, 1139, 675, 775, 1795, 145, 1418, 1348, 751, 1589, 1114, 655, 587, 663, 1625, 786, 1236, 649, 1198, 634, 1219, 539, 1452, 1703, 1294, 1302, 928, 1766, 1641, 1414, 1075, 1060, 794, 1716, 1358, 1045, 1098, 1275, 1333, 792, 855, 1648, 1471, 965, 1789, 1684, 1600, 1529, 1769, 1660, 1578, 1790, 1644, 933, 1745, 785, 1277, 1623, 995, 1776, 1748, 241, 165, 219, 244, 128011, 128001 ]

[ 128000, 128002, 3947, 374, 264, 5623, 13419, 9214, 315, 1274, 304, 1057, 10977, 13, 1102, 649, 387, 8340, 304, 682, 11217, 13, 57175, 11, 42734, 11, 26153, 13, 578, 259, 6729, 478, 3392, 315, 433, 1436, 5622, 499, 13, 1102, 596, 264, 20278, 2663, 282, 95391, 13, 1472, 1253, 1781, 433, 2834, 956, 3621, 311, 499, 11, 719, 499, 527, 539, 279, 4788, 13, 4418, 956, 387, 2500, 3663, 315, 282, 95391, 13, 128003, 128005, 1362, 1273, 1600, 1827, 816, 452, 1554, 110, 483, 716, 587, 1069, 1081, 388, 1814, 599, 1320, 473, 213, 298, 1261, 876, 162, 886, 395, 725, 495, 633, 1797, 1718, 452, 45, 1310, 1278, 443, 1456, 1476, 102, 917, 1134, 573, 116, 1665, 271, 783, 1018, 876, 1600, 1071, 638, 1385, 1704, 452, 206, 1178, 1217, 1649, 1492, 297, 1225, 789, 861, 628, 1118, 321, 1215, 1497, 1521, 32, 1445, 1741, 1673, 1738, 1578, 1711, 1217, 474, 1438, 565, 1281, 179, 1144, 221, 1172, 475, 1770, 864, 1728, 183, 298, 749, 756, 1720, 113, 1535, 1698, 1691, 1679, 1679, 4, 1376, 1439, 755, 1499, 367, 1422, 1461, 1775, 995, 845, 891, 1631, 1280, 308, 767, 1624, 231, 1353, 911, 203, 549, 1142, 59, 672, 1669, 1718, 1415, 1193, 1069, 1398, 1636, 978, 856, 1544, 1742, 970, 1047, 1431, 1755, 1720, 1545, 858, 1787, 1404, 1148, 13, 570, 1620, 1220, 1417, 1206, 944, 1564, 1397, 227, 304, 1256, 430, 1492, 1476, 1669, 1456, 1630, 1303, 1112, 63, 1450, 1003, 787, 502, 1024, 1630, 175, 1828, 1528, 953, 315, 1437, 1270, 301, 935, 1383, 495, 1431, 1547, 1687, 1708, 34, 1721, 1680, 1039, 1716, 1057, 1283, 368, 62, 1364, 1329, 689, 1466, 1412, 1568, 1736, 691, 680, 86, 423, 1144, 900, 257, 1092, 1157, 692, 1285, 567, 169, 1025, 620, 923, 1025, 496, 1096, 805, 704, 1590, 1273, 1080, 1152, 509, 923, 1285, 584, 744, 17, 766, 1062, 257, 513, 936, 1338, 674, 899, 680, 832, 1080, 487, 727, 1713, 1362, 591, 1348, 673, 1248, 712, 624, 585, 516, 513, 712, 169, 591, 680, 486, 799, 603, 744, 986, 169, 555, 513, 845, 766, 676, 681, 16, 957, 1796, 345, 673, 710, 676, 1007, 1273, 651, 1092, 417, 717, 1142, 680, 681, 1273, 986, 727, 785, 169, 1248, 694, 1163, 1238, 1245, 155, 781, 75, 1825, 245, 595, 892, 556, 83, 1818, 1411, 564, 1039, 1219, 1701, 599, 1618, 1283, 1794, 22, 231, 836, 36, 1379, 1225, 1612, 1439, 870, 107, 1415, 605, 966, 1759, 1450, 913, 1009, 93, 1230, 868, 1343, 269, 1021, 757, 929, 210, 1199, 116, 1216, 721, 966, 1115, 297, 1179, 678, 1541, 1579, 1528, 1679, 218, 6, 931, 768, 891, 913, 587, 1447, 984, 959, 1005, 1823, 1666, 741, 1245, 1434, 1493, 1583, 761, 1385, 1040, 882, 1355, 62, 1002, 746, 18, 1710, 154, 1766, 1677, 1565, 1765, 1338, 585, 905, 447, 1121, 1289, 704, 121, 1294, 257, 939, 1380, 785, 651, 1725, 538, 936, 686, 548, 861, 680, 548, 712, 762, 751, 1717, 1319, 744, 1338, 676, 1114, 377, 406, 1425, 762, 1137, 696, 301, 905, 1262, 601, 805, 544, 832, 121, 555, 603, 824, 169, 727, 567, 548, 377, 694, 1121, 1536, 247, 516, 686, 627, 1248, 387, 548, 591, 567, 651, 1007, 513, 486, 1338, 548, 986, 301, 169, 1346, 566, 744, 585, 674, 681, 377, 387, 1824, 641, 986, 1553, 673, 727, 1007, 624, 1142, 785, 627, 923, 513, 674, 1007, 651, 735, 1338, 486, 824, 680, 674, 1408, 601, 513, 694, 676, 1233, 1569, 555, 1628, 465, 1010, 1655, 334, 861, 509, 1071, 795, 981, 681, 1288, 673, 727, 866, 548, 513, 1144, 917, 865, 102, 1355, 76, 1012, 614, 993, 632, 1034, 1141, 1709, 1342, 1608, 595, 176, 1500, 1342, 1637, 1677, 1238, 1664, 1649, 344, 1788, 1737, 465, 627, 933, 513, 923, 1246, 490, 585, 584, 751, 1657, 765, 681, 1338, 680, 1465, 824, 651, 1163, 247, 1038, 584, 301, 861, 1461, 673, 1023, 584, 693, 899, 378, 638, 878, 563, 1434, 1349, 939, 1245, 777, 383, 626, 375, 959, 560, 1219, 461, 1352, 474, 121, 809, 1809, 1058, 1809, 798, 1763, 798, 1655, 907, 1635, 892, 1707, 836, 1120, 1267, 1568, 1315, 1778, 1292, 1530, 1685, 1163, 761, 1293, 633, 891, 795, 681, 727, 627, 845, 247, 981, 486, 1514, 538, 1157, 387, 627, 1321, 487, 905, 704, 724, 1144, 712, 601, 957, 1706, 239, 1024, 1629, 1498, 1175, 252, 781, 521, 1381, 1300, 532, 1637, 809, 1593, 1776, 532, 1655, 1423, 1472, 1660, 1732, 1653, 1241, 22, 1074, 549, 1447, 1436, 1766, 1784, 1543, 1321, 676, 1255, 229, 625, 1144, 651, 1176, 717, 513, 1725, 717, 758, 676, 967, 1750, 674, 1096, 567, 266, 1763, 1273, 805, 1676, 378, 1007, 1142, 717, 1768, 1137, 986, 1121, 405, 766, 516, 751, 1650, 674, 1233, 1142, 717, 1782, 680, 516, 1672, 601, 681, 1348, 1137, 1419, 795, 1504, 1672, 601, 1784, 591, 601, 1750, 762, 717, 1628, 301, 1071, 1262, 378, 1725, 513, 523, 758, 378, 939, 1595, 378, 1719, 566, 651, 1768, 566, 1380, 1595, 630, 438, 799, 651, 1474, 624, 1114, 957, 378, 1023, 939, 627, 862, 378, 651, 1348, 378, 555, 584, 1137, 438, 601, 651, 387, 717, 1248, 1514, 971, 1474, 981, 1071, 862, 923, 744, 710, 693, 899, 751, 490, 1595, 891, 486, 795, 655, 986, 438, 971, 758, 986, 971, 899, 566, 1348, 1549, 1015, 1298, 393, 395, 1546, 487, 1719, 320, 218, 1253, 715, 1344, 1286, 1220, 892, 475, 1126, 1031, 13, 113, 1263, 689, 1797, 123, 1394, 701, 1468, 123, 1600, 1053, 621, 750, 1773, 648, 67, 368, 493, 154, 714, 927, 221, 1767, 521, 691, 1083, 1382, 875, 297, 772, 359, 1171, 1291, 179, 1429, 1252, 697, 1738, 1534, 57, 1434, 1275, 412, 1621, 1613, 1524, 1363, 1624, 1175, 1197, 883, 138, 512, 516, 86, 284, 568, 1429, 135, 26, 1280, 1351, 1034, 804, 1679, 401, 1553, 658, 979, 1403, 507, 1745, 1738, 321, 1292, 1058, 678, 1079, 994, 57, 1651, 930, 1384, 848, 533, 1537, 485, 1760, 1698, 1057, 1006, 1220, 1421, 1727, 1429, 712, 891, 387, 1033, 805, 377, 1025, 933, 676, 1144, 766, 555, 735, 387, 516, 585, 933, 845, 692, 680, 627, 1419, 624, 627, 766, 585, 1719, 1536, 954, 1007, 247, 939, 1244, 727, 121, 712, 301, 1380, 566, 681, 1244, 627, 1248, 824, 331, 1684, 762, 971, 712, 674, 1092, 509, 548, 585, 325, 1465, 1695, 54, 121, 686, 301, 805, 534, 900, 585, 630, 717, 899, 612, 32, 584, 971, 712, 680, 845, 1338, 624, 673, 555, 548, 121, 567, 923, 1362, 984, 121, 899, 744, 1614, 572, 845, 1338, 548, 744, 712, 693, 1157, 555, 936, 1242, 939, 744, 1273, 548, 585, 751, 936, 1461, 603, 1248, 1514, 121, 1721, 1080, 727, 1725, 555, 805, 387, 627, 1346, 1157, 548, 933, 981, 805, 933, 624, 861, 696, 627, 274, 563, 971, 1338, 486, 861, 257, 1142, 1751, 1580, 1543, 1680, 966, 1034, 969, 1543, 625, 0, 372, 631, 446, 1423, 1002, 774, 202, 409, 368, 556, 18, 822, 656, 1174, 112, 552, 657, 1125, 1203, 1723, 1769, 1751, 1411, 556, 870, 592, 409, 546, 870, 1265, 665, 158, 1035, 1344, 1663, 1485, 1728, 648, 276, 202, 1034, 1687, 1821, 1178, 1005, 1437, 1264, 352, 1483, 789, 678, 149, 1591, 1450, 1547, 782, 1549, 1646, 1217, 1375, 788, 1370, 1179, 1072, 475, 886, 1046, 51, 948, 1803, 1760, 1677, 1199, 679, 502, 1255, 1506, 940, 1256, 1455, 1281, 996, 1761, 1712, 1358, 1771, 1676, 1264, 1465, 1832, 1211, 301, 1010, 712, 936, 1233, 727, 32, 247, 601, 1010, 686, 899, 1791, 659, 555, 1348, 555, 121, 247, 555, 899, 899, 627, 1321, 534, 1023, 724, 717, 933, 712, 727, 1293, 1080, 1251, 712, 681, 591, 247, 936, 766, 766, 891, 1362, 1142, 1652, 986, 591, 1348, 624, 727, 584, 717, 121, 538, 486, 387, 717, 673, 766, 832, 762, 460, 845, 899, 538, 936, 899, 712, 1696, 1273, 744, 1478, 1123, 406, 1293, 86, 799, 751, 936, 758, 832, 603, 795, 655, 758, 824, 971, 1474, 651, 744, 121, 832, 585, 1142, 693, 1693, 933, 939, 1595, 406, 1684, 686, 936, 1725, 673, 1092, 659, 971, 1233, 1293, 936, 1655, 513, 651, 1010, 655, 1262, 1262, 936, 1474, 555, 1092, 1348, 563, 513, 325, 1079, 1695, 345, 735, 1348, 651, 1092, 704, 1713, 176, 554, 862, 1634, 1013, 1035, 664, 1540, 846, 425, 862, 1447, 536, 1677, 400, 93, 1270, 943, 321, 1027, 1175, 1619, 1691, 1538, 1668, 865, 1524, 844, 1141, 192, 276, 886, 631, 1324, 395, 1831, 1614, 1756, 596, 1400, 412, 155, 514, 1565, 1774, 1572, 1554, 1033, 225, 1448, 359, 1772, 1187, 182, 1043, 1520, 1332, 1740, 1662, 800, 1438, 1420, 1180, 565, 1316, 221, 958, 1109, 697, 933, 476, 1632, 1735, 955, 1161, 586, 1081, 577, 1749, 1239, 368, 183, 372, 70, 1500, 493, 1059, 1015, 176, 1568, 1138, 502, 778, 1640, 1487, 1500, 1674, 1731, 1739, 1794, 1611, 1255, 1517, 950, 981, 516, 423, 516, 1553, 740, 761, 766, 513, 735, 620, 681, 899, 1262, 633, 957, 555, 555, 465, 845, 585, 712, 727, 274, 1080, 1023, 1474, 1118, 1601, 584, 971, 766, 673, 591, 1010, 406, 1007, 680, 171, 950, 1736, 1330, 658, 1478, 508, 812, 1694, 1544, 183, 1215, 197, 276, 1380, 123, 964, 225, 1788, 974, 143, 693, 876, 642, 971, 1015, 452, 1752, 638, 903, 1366, 1713, 1381, 412, 800, 1167, 179, 547, 1391, 994, 271, 1320, 1467, 1456, 967, 523, 649, 1641, 1217, 1175, 693, 1240, 940, 1027, 707, 843, 870, 1242, 457, 1397, 298, 656, 276, 863, 400, 356, 639, 1098, 816, 1125, 1095, 521, 522, 1765, 1465, 325, 1721, 454, 344, 794, 70, 878, 335, 1104, 1297, 1263, 1411, 1822, 1545, 1250, 1464, 1811, 1430, 1493, 1120, 799, 735, 423, 717, 585, 691, 1092, 1151, 486, 566, 387, 406, 710, 121, 406, 387, 651, 486, 704, 744, 121, 710, 490, 704, 680, 936, 544, 651, 591, 274, 845, 680, 676, 936, 704, 627, 727, 1338, 845, 585, 799, 905, 686, 1080, 923, 417, 735, 1142, 544, 516, 436, 1602, 1387, 1578, 1491, 1262, 975, 1406, 630, 630, 1071, 694, 1570, 1624, 452, 352, 1344, 1500, 466, 657, 1791, 1399, 614, 1653, 1395, 1581, 1744, 923, 406, 1145, 1791, 512, 125, 1535, 1061, 1081, 1283, 1087, 802, 934, 849, 1490, 416, 272, 1221, 1065, 107, 1054, 829, 565, 1067, 1396, 183, 521, 1393, 721, 65, 1589, 970, 901, 749, 1691, 1241, 1535, 1287, 154, 1107, 1282, 422, 707, 787, 315, 661, 1330, 384, 28, 1742, 556, 315, 1241, 276, 546, 599, 10, 979, 996, 1261, 1424, 628, 642, 1611, 1762, 1450, 713, 1744, 822, 554, 1588, 1423, 1204, 83, 254, 1201, 705, 206, 1277, 1231, 865, 1776, 1772, 1057, 1229, 1450, 1486, 890, 1426, 1280, 1005, 1776, 1732, 1498, 1757, 1708, 1716, 1584, 1823, 1774, 1773, 1671, 1799, 1832, 1704, 805, 128011, 128001 ]

[ 128000, 128002, 24762, 810, 922, 279, 25114, 37064, 315, 435, 95391, 520, 52326, 2173, 37, 95391, 5181, 128003, 128005, 274, 751, 964, 42, 1636, 1594, 183, 374, 1313, 221, 1493, 1139, 102, 1746, 979, 83, 1473, 999, 1229, 98, 1724, 1097, 197, 1546, 95, 1706, 1325, 626, 1753, 718, 1774, 545, 1690, 1083, 65, 1433, 446, 1314, 240, 1643, 1801, 879, 173, 370, 1193, 695, 637, 1699, 1514, 634, 1485, 1611, 152, 1170, 843, 1535, 1390, 325, 546, 579, 1264, 422, 857, 248, 886, 1189, 376, 1037, 1335, 1521, 41, 759, 1369, 276, 1506, 592, 1128, 1598, 677, 1535, 794, 1088, 550, 230, 1199, 376, 454, 42, 376, 701, 85, 15, 372, 1434, 1015, 388, 1638, 1109, 384, 736, 1616, 124, 1217, 996, 1051, 303, 931, 1797, 1782, 749, 368, 1649, 556, 1687, 1535, 4, 1781, 1303, 610, 1216, 965, 100, 1075, 1247, 1195, 1584, 1250, 438, 1373, 0, 1326, 1678, 1517, 1326, 658, 1661, 1662, 1483, 1598, 1353, 1484, 1312, 1774, 984, 1445, 1320, 361, 860, 535, 1517, 1494, 1379, 572, 1331, 1546, 1745, 1730, 1383, 1711, 1337, 1196, 599, 116, 619, 813, 911, 1083, 546, 1691, 1394, 69, 230, 556, 18, 1310, 973, 28, 983, 1238, 1296, 1470, 362, 973, 1434, 626, 412, 1185, 679, 636, 344, 1711, 231, 1717, 1535, 1451, 1611, 441, 1208, 192, 104, 1188, 1389, 631, 1826, 1755, 1611, 1499, 428, 1772, 1698, 1203, 1124, 1368, 1324, 1138, 1353, 1183, 1455, 1819, 1509, 1628, 724, 1346, 1679, 1351, 402, 880, 926, 1415, 1517, 1499, 339, 1318, 1136, 1101, 681, 1491, 1043, 523, 578, 1172, 1417, 1104, 1663, 1729, 1238, 1811, 1041, 1466, 1127, 1053, 1484, 756, 1029, 1768, 1825, 957, 272, 918, 1106, 1763, 762, 165, 219, 244, 128011, 128001 ]

[ 128000, 128002, 40, 1071, 387, 14931, 922, 17530, 1729, 11, 499, 1120, 7111, 279, 5041, 1139, 701, 56520, 13, 921, 2689, 2665, 78, 13, 128003, 128005, 1510, 1273, 1316, 1148, 1005, 922, 1517, 863, 1703, 1571, 1354, 1602, 495, 1199, 1202, 549, 828, 516, 584, 1770, 987, 1658, 665, 879, 1143, 380, 878, 1280, 1518, 335, 1383, 507, 1400, 1250, 985, 149, 1204, 106, 872, 934, 446, 1256, 880, 956, 1110, 210, 886, 1147, 1207, 135, 83, 944, 1287, 259, 1289, 1211, 1488, 988, 25, 609, 271, 756, 1194, 441, 847, 956, 43, 755, 988, 1681, 1185, 1035, 1364, 22, 218, 231, 1342, 290, 1329, 1192, 1191, 947, 74, 613, 1005, 1798, 186, 443, 841, 502, 905, 495, 1814, 893, 665, 682, 57, 648, 1517, 1110, 1036, 483, 1252, 528, 467, 1314, 1349, 1419, 1662, 117, 218, 1554, 88, 138, 57, 1234, 372, 546, 154, 592, 1660, 440, 870, 1631, 700, 1115, 987, 1482, 152, 560, 874, 723, 138, 1180, 1292, 1144, 1785, 820, 799, 1668, 691, 995, 416, 632, 1197, 1126, 173, 1711, 1615, 1052, 1590, 1640, 1502, 321, 1190, 386, 51, 95, 1136, 1190, 892, 228, 1174, 1424, 228, 441, 1193, 113, 113, 1186, 1119, 768, 179, 303, 376, 1193, 966, 1630, 229, 1128, 1121, 1333, 1638, 1221, 107, 155, 1298, 290, 212, 1113, 1707, 1806, 730, 1686, 438, 1590, 920, 1409, 847, 979, 919, 228, 192, 1216, 296, 102, 518, 882, 940, 1000, 752, 1171, 1109, 1504, 1132, 1478, 182, 628, 88, 1734, 84, 1437, 550, 1766, 228, 1325, 212, 1098, 106, 408, 1180, 254, 511, 466, 1178, 1328, 438, 1589, 1248, 1793, 1652, 1360, 1822, 758, 1079, 1699, 1479, 1809, 426, 1704, 1805, 1536, 1118, 1623, 1601, 1478, 1016, 1037, 1525, 1479, 805, 1652, 1176, 1478, 1763, 1011, 1079, 1510, 957, 1749, 1536, 891, 1176, 1390, 1658, 1627, 995, 1814, 608, 1385, 1631, 1639, 1213, 1459, 1025, 1041, 1654, 1435, 376, 941, 874, 863, 1086, 1073, 1333, 1424, 1423, 1745, 1137, 659, 1030, 1541, 316, 1189, 1409, 1092, 526, 1827, 1657, 1653, 889, 1616, 848, 980, 1042, 1314, 1317, 43, 1766, 1111, 1204, 100, 1345, 1119, 1429, 146, 295, 1209, 1194, 157, 1221, 552, 1245, 1045, 1275, 1137, 1002, 479, 832, 1311, 1235, 716, 1109, 481, 1331, 1450, 1645, 410, 167, 165, 244, 244, 128011, 128001 ]

[ 128000, 128002, 644, 264, 5030, 315, 892, 11, 279, 9269, 315, 279, 1403, 3026, 11684, 449, 701, 4538, 596, 4648, 690, 387, 20536, 13, 128003, 128005, 1585, 1619, 1418, 928, 1780, 1255, 950, 1071, 838, 1793, 1437, 271, 144, 1533, 787, 1182, 752, 293, 969, 342, 657, 535, 621, 658, 252, 947, 212, 1492, 254, 737, 430, 877, 146, 312, 946, 146, 1339, 532, 714, 1757, 1651, 1426, 406, 1658, 1462, 254, 658, 1795, 1422, 9, 1197, 115, 1401, 25, 1391, 84, 1153, 102, 81, 1096, 367, 146, 927, 1315, 909, 714, 1649, 385, 1240, 1394, 1740, 1423, 1261, 1520, 1707, 1114, 1210, 172, 931, 299, 858, 495, 1306, 972, 1122, 115, 1762, 252, 115, 1806, 621, 212, 1351, 1323, 212, 755, 732, 514, 700, 1015, 920, 798, 607, 774, 1829, 1590, 1634, 1537, 1812, 1700, 361, 1382, 1247, 1607, 1646, 1273, 1716, 349, 1241, 452, 596, 1751, 1153, 1301, 587, 1454, 564, 1027, 653, 1813, 174, 945, 1636, 737, 19, 994, 254, 104, 1263, 1073, 1462, 90, 1596, 1642, 662, 1815, 1764, 1534, 822, 0, 393, 245, 1180, 347, 1532, 1504, 1220, 491, 271, 355, 248, 76, 1075, 921, 897, 104, 395, 1089, 1366, 120, 890, 117, 1757, 780, 1278, 940, 750, 1780, 1226, 1031, 1301, 1343, 1279, 1456, 1113, 1083, 1445, 1791, 1346, 767, 1422, 1448, 1082, 1052, 1325, 719, 807, 789, 700, 1339, 1364, 979, 1376, 46, 1088, 315, 430, 493, 493, 1333, 1328, 159, 521, 1324, 1000, 1281, 430, 1630, 593, 1755, 1782, 1692, 362, 1755, 1539, 656, 1450, 333, 1731, 1408, 1421, 733, 865, 69, 1410, 412, 1407, 657, 1221, 626, 687, 375, 1055, 1136, 847, 1015, 1786, 1831, 1764, 999, 1423, 1714, 1072, 963, 1305, 1079, 1248, 1417, 1492, 818, 688, 1786, 1764, 1719, 1695, 734, 1230, 1369, 1407, 640, 1323, 1718, 1786, 1710, 863, 1703, 1767, 793, 1118, 1825, 1568, 1124, 1230, 853, 1607, 1225, 1506, 1703, 1706, 438, 1701, 1795, 1724, 929, 1181, 888, 863, 254, 277, 1488, 125, 1796, 1081, 47, 1718, 91, 719, 1289, 1315, 979, 1058, 127, 1735, 568, 1687, 1505, 1423, 878, 1373, 1639, 1667, 1658, 1760, 1748, 1818, 204, 165, 244, 244, 244, 167, 128011, 128001 ]

[ 128000, 128002, 6107, 1457, 11, 1120, 3794, 701, 2010, 1314, 11, 499, 1440, 11, 3794, 10968, 369, 279, 4465, 11, 3339, 2771, 430, 11, 499, 1440, 11, 279, 2574, 584, 1390, 311, 2571, 704, 1070, 527, 389, 1486, 13, 4702, 15061, 264, 28566, 323, 3339, 2771, 430, 4785, 596, 1523, 369, 17988, 22610, 13, 2030, 11, 44844, 11, 358, 3152, 279, 18459, 596, 2884, 13, 128003, 128005, 1722, 1610, 1120, 1811, 557, 695, 211, 395, 461, 497, 604, 1177, 797, 263, 1823, 483, 1753, 742, 1068, 1139, 1098, 162, 215, 757, 410, 522, 81, 252, 297, 1182, 1173, 186, 309, 74, 215, 525, 341, 1180, 1122, 841, 1105, 9, 648, 1221, 1445, 335, 1018, 966, 117, 388, 415, 137, 1732, 1436, 1306, 1820, 788, 407, 225, 398, 276, 621, 1451, 1549, 1444, 1760, 1351, 564, 1215, 1347, 1178, 1458, 142, 1639, 1326, 1476, 1738, 113, 793, 210, 989, 260, 773, 88, 1164, 1374, 702, 1410, 1013, 933, 972, 1766, 720, 609, 898, 446, 1062, 173, 1099, 82, 1495, 210, 1009, 142, 1827, 232, 737, 239, 1766, 1593, 1129, 862, 1317, 1282, 1114, 1196, 1432, 1765, 1220, 1546, 1823, 719, 1664, 1517, 878, 950, 1823, 1287, 789, 1586, 931, 1778, 364, 436, 55, 333, 475, 393, 1081, 210, 121, 260, 1261, 629, 1661, 1472, 1698, 1694, 1563, 69, 621, 10, 380, 116, 176, 1664, 1048, 1506, 1035, 1335, 1831, 882, 1521, 282, 714, 848, 218, 599, 1226, 916, 1097, 413, 1659, 215, 877, 756, 1081, 1825, 1725, 1826, 985, 782, 1498, 858, 657, 1756, 407, 1441, 181, 658, 1178, 282, 1364, 1364, 1324, 1333, 106, 389, 18, 621, 1641, 614, 847, 737, 759, 1761, 1660, 579, 1470, 1002, 714, 1422, 230, 1468, 1200, 210, 588, 764, 411, 874, 855, 299, 545, 318, 424, 788, 218, 757, 1638, 1766, 1506, 1282, 1534, 1823, 1417, 1, 73, 943, 648, 1534, 719, 1719, 1005, 1241, 1752, 1402, 1731, 1332, 1800, 132, 290, 790, 190, 434, 874, 232, 1074, 1088, 1370, 1189, 393, 472, 1450, 113, 1490, 218, 557, 927, 443, 1483, 218, 429, 822, 550, 1787, 790, 1176, 1804, 493, 260, 1018, 569, 400, 777, 595, 1100, 1212, 1777, 1629, 1259, 1373, 1455, 1282, 1373, 1178, 1710, 1292, 886, 1823, 1393, 1002, 1820, 1053, 1403, 1448, 570, 1790, 1355, 927, 1738, 979, 1364, 1462, 715, 1306, 1489, 1349, 1749, 1631, 1756, 870, 88, 749, 132, 314, 587, 1534, 206, 472, 372, 105, 1524, 367, 1702, 39, 1663, 25, 1819, 364, 362, 1521, 687, 577, 1766, 1287, 1403, 610, 886, 206, 88, 1374, 543, 466, 1712, 1018, 297, 1708, 1018, 834, 1709, 276, 319, 596, 1325, 1631, 55, 1711, 479, 503, 1773, 57, 662, 920, 105, 1680, 402, 425, 1310, 341, 1511, 88, 1389, 179, 1706, 1240, 519, 1718, 1287, 399, 797, 1147, 186, 222, 1663, 609, 472, 1772, 721, 1802, 456, 1830, 267, 1801, 210, 1680, 142, 1697, 142, 926, 393, 354, 1278, 664, 1545, 1331, 486, 1106, 1404, 1476, 1286, 870, 106, 1663, 263, 574, 305, 456, 1314, 107, 1052, 461, 482, 944, 280, 1647, 456, 1358, 456, 1298, 462, 1429, 475, 1736, 524, 1413, 695, 1677, 1593, 1318, 1830, 1801, 665, 639, 1793, 1823, 1731, 1078, 373, 1605, 759, 456, 1624, 105, 1758, 88, 1831, 236, 1369, 232, 940, 197, 1700, 1789, 1794, 1320, 1071, 1347, 1028, 1506, 1252, 1292, 1408, 971, 284, 1137, 964, 1390, 1289, 724, 516, 516, 1639, 1595, 1793, 1536, 516, 1255, 1474, 1321, 1652, 1262, 1033, 1722, 1719, 1730, 1602, 1751, 1546, 1654, 1730, 1627, 1807, 1470, 67, 192, 269, 596, 479, 15, 49, 844, 510, 1532, 1785, 1600, 1781, 1347, 1173, 270, 222, 1150, 512, 1278, 380, 439, 1717, 1436, 1023, 1797, 1754, 1308, 225, 1410, 581, 248, 1794, 320, 348, 69, 162, 1320, 1053, 1459, 1535, 1078, 477, 1135, 1204, 79, 51, 222, 1258, 347, 1089, 969, 653, 1681, 1300, 877, 1658, 1166, 102, 425, 382, 178, 1243, 1790, 1821, 1665, 592, 887, 1743, 886, 1416, 46, 330, 346, 100, 604, 349, 889, 1443, 1229, 104, 39, 629, 1364, 400, 1341, 1617, 1056, 580, 292, 210, 1697, 522, 492, 1484, 1761, 798, 1811, 1600, 1014, 1766, 613, 1412, 550, 1786, 45, 225, 1651, 990, 1369, 1808, 1363, 1436, 46, 315, 1247, 546, 1322, 1228, 1278, 1264, 140, 613, 296, 408, 1492, 309, 302, 715, 524, 518, 1245, 874, 105, 1656, 1766, 1508, 1320, 1546, 1329, 927, 368, 610, 1189, 1280, 831, 1794, 496, 1047, 1786, 373, 1622, 346, 472, 1436, 253, 93, 1263, 62, 631, 705, 546, 202, 1069, 399, 697, 1732, 335, 809, 1238, 254, 789, 178, 270, 798, 1342, 375, 36, 644, 1395, 1833, 1423, 1296, 1452, 848, 46, 656, 202, 452, 1088, 67, 1331, 1214, 1532, 1475, 788, 22, 1738, 1364, 1814, 1028, 1450, 1517, 1313, 1700, 1556, 886, 1826, 1282, 1400, 1820, 872, 1439, 1432, 985, 1786, 1098, 901, 495, 1029, 1382, 495, 1031, 1815, 1067, 1230, 1373, 1099, 1724, 1777, 1351, 1141, 1022, 1340, 376, 1047, 822, 159, 389, 400, 88, 1449, 206, 413, 962, 569, 1785, 81, 770, 206, 373, 1436, 210, 1506, 81, 635, 346, 613, 637, 492, 579, 411, 790, 721, 794, 757, 461, 926, 364, 1252, 1241, 492, 1462, 1500, 1674, 1468, 1710, 642, 518, 463, 260, 1782, 940, 506, 1351, 232, 146, 395, 640, 1712, 1787, 300, 644, 1820, 1730, 1509, 1429, 1568, 1646, 700, 354, 173, 430, 797, 579, 456, 1427, 1637, 1152, 1220, 1642, 1831, 897, 441, 1820, 991, 330, 1485, 192, 774, 716, 232, 822, 452, 162, 1278, 335, 1241, 1356, 1088, 297, 1524, 1596, 502, 1342, 1633, 870, 1646, 1500, 1766, 371, 462, 1238, 208, 456, 1647, 1247, 321, 225, 985, 93, 1819, 547, 1777, 363, 1073, 1511, 1706, 1040, 1827, 1774, 1395, 1757, 1459, 719, 1819, 1036, 1447, 1325, 1164, 156, 165, 244, 244, 128011, 128001 ]

[ 128000, 128002, 16397, 3190, 11, 499, 3169, 315, 1464, 701, 2547, 1523, 13, 1115, 374, 3169, 315, 2046, 1405, 499, 636, 311, 2800, 264, 2697, 2766, 11, 27661, 709, 11, 323, 1120, 1304, 2771, 4395, 596, 3318, 1314, 13, 1226, 4024, 1555, 279, 2653, 990, 2391, 3190, 323, 499, 2351, 539, 2133, 311, 636, 904, 2731, 1457, 13, 1472, 2351, 539, 2133, 311, 636, 904, 10819, 13, 1472, 2351, 539, 2133, 311, 636, 904, 16643, 13, 2100, 433, 596, 1120, 430, 10723, 1847, 505, 1618, 389, 704, 13, 2100, 11, 44844, 11, 358, 2846, 8430, 1695, 11, 893, 13, 3092, 4059, 596, 1314, 323, 358, 2846, 5644, 311, 733, 704, 1070, 323, 3243, 420, 3245, 13, 128003, 128005, 1699, 710, 546, 366, 836, 212, 192, 268, 521, 341, 341, 321, 225, 410, 1104, 452, 422, 738, 1175, 1353, 385, 1041, 824, 1682, 452, 1329, 1342, 1583, 1447, 291, 639, 305, 221, 949, 305, 446, 828, 558, 497, 1501, 358, 210, 1389, 947, 530, 1651, 1496, 1815, 570, 1736, 1393, 1315, 400, 1396, 335, 1388, 308, 1048, 308, 716, 796, 98, 711, 1609, 1620, 1036, 1319, 1378, 1057, 729, 1351, 1700, 1832, 1002, 1808, 1355, 886, 1830, 1053, 1422, 1822, 1036, 1505, 869, 902, 984, 1730, 1702, 1720, 162, 181, 632, 579, 498, 402, 575, 1506, 773, 248, 690, 1040, 815, 1500, 1769, 1409, 1187, 452, 222, 721, 340, 277, 536, 1082, 1830, 1590, 901, 22, 1241, 1272, 1187, 471, 109, 1722, 1740, 1665, 394, 1105, 159, 877, 573, 291, 715, 115, 1506, 596, 611, 1175, 903, 1708, 522, 653, 1098, 970, 1455, 976, 1353, 887, 290, 210, 1351, 206, 757, 715, 371, 757, 715, 271, 972, 1029, 53, 1381, 570, 910, 1722, 944, 779, 1412, 725, 1485, 556, 181, 292, 181, 407, 596, 276, 1351, 1459, 1447, 1487, 640, 1426, 1306, 1146, 1735, 985, 67, 1410, 1147, 1220, 164, 429, 1053, 446, 1388, 117, 326, 1171, 569, 1792, 1141, 704, 1295, 1214, 789, 1381, 253, 856, 1382, 556, 1581, 1261, 1570, 1754, 1410, 1145, 720, 1475, 525, 1315, 412, 932, 232, 1336, 543, 1581, 202, 1368, 452, 1759, 142, 888, 1463, 1088, 758, 1486, 1400, 1763, 1160, 1166, 1822, 715, 1524, 1303, 382, 1713, 1259, 788, 1784, 1282, 1405, 1076, 1099, 1142, 1268, 1228, 1525, 1404, 1585, 1096, 1028, 1293, 42, 1639, 805, 1108, 666, 971, 1495, 1628, 1144, 1632, 957, 1788, 1748, 1656, 903, 639, 1353, 648, 175, 48, 1804, 760, 903, 1267, 597, 920, 269, 357, 711, 969, 701, 1692, 1019, 1074, 1447, 721, 1489, 1402, 1613, 614, 1138, 206, 84, 721, 318, 309, 525, 1808, 1166, 1300, 67, 52, 1002, 714, 1677, 1160, 1344, 1742, 725, 491, 134, 1310, 491, 1339, 1261, 738, 1694, 1727, 1642, 83, 1281, 263, 170, 525, 1018, 596, 809, 861, 1146, 1369, 1758, 400, 1596, 1337, 1300, 1774, 943, 1034, 1282, 1002, 1372, 137, 500, 618, 716, 1410, 658, 553, 1507, 560, 557, 1728, 525, 1469, 179, 583, 759, 525, 1791, 309, 525, 1761, 186, 267, 1501, 1320, 1453, 1648, 1391, 1185, 1324, 1830, 1680, 1431, 1247, 1048, 1786, 1688, 648, 357, 864, 1686, 656, 123, 183, 218, 546, 858, 1225, 1099, 511, 1429, 517, 88, 1081, 645, 1662, 1485, 556, 1332, 162, 335, 1088, 782, 238, 1117, 282, 429, 1701, 1280, 5, 711, 904, 318, 1757, 1583, 1718, 1611, 179, 1501, 599, 959, 1439, 1365, 1332, 1810, 890, 886, 1338, 1799, 1487, 22, 518, 1272, 462, 1509, 113, 506, 595, 1388, 1754, 1720, 1821, 656, 1241, 547, 757, 870, 134, 1022, 1491, 614, 1822, 475, 827, 429, 1101, 525, 1739, 393, 1499, 366, 897, 296, 580, 1677, 1412, 1048, 1256, 1669, 1200, 1170, 1419, 1745, 1343, 939, 1108, 1106, 470, 1556, 974, 1770, 626, 875, 844, 211, 1545, 1337, 503, 1593, 639, 83, 280, 1647, 796, 123, 615, 1436, 381, 1478, 495, 989, 357, 518, 1720, 863, 455, 1702, 890, 803, 1002, 106, 354, 1325, 809, 1804, 639, 1734, 1403, 1253, 294, 1045, 1183, 806, 93, 413, 1265, 1247, 95, 611, 1770, 519, 779, 1770, 1423, 1352, 1431, 1408, 1221, 574, 1829, 221, 482, 1256, 205, 617, 1682, 1002, 653, 1668, 1438, 733, 1404, 1535, 1382, 346, 588, 1752, 1161, 657, 1330, 471, 110, 1463, 581, 326, 1772, 1804, 1581, 1823, 1763, 537, 162, 1410, 1376, 546, 589, 1237, 605, 164, 105, 746, 522, 475, 1278, 383, 79, 422, 525, 1253, 1094, 1545, 1742, 1519, 1489, 1241, 1247, 1229, 1241, 1280, 756, 692, 197, 1053, 1239, 1820, 1410, 1668, 979, 1002, 1355, 656, 1766, 1040, 595, 1404, 715, 1160, 1434, 656, 1766, 1226, 1082, 1475, 1496, 1495, 1144, 1379, 1737, 22, 152, 1069, 290, 200, 716, 1139, 277, 106, 105, 604, 872, 1015, 1374, 302, 635, 1395, 1170, 996, 480, 1654, 362, 657, 1, 1002, 363, 415, 1030, 962, 263, 475, 1715, 62, 324, 411, 849, 471, 326, 1535, 543, 158, 1027, 556, 134, 1734, 1266, 1761, 613, 1342, 162, 267, 1680, 463, 569, 1464, 440, 105, 977, 434, 969, 932, 1009, 716, 1388, 499, 475, 1178, 393, 959, 299, 580, 604, 569, 1758, 393, 616, 1258, 1040, 1723, 1097, 1744, 1488, 1041, 1785, 1438, 1282, 1373, 929, 1216, 1032, 1116, 1260, 967, 1054, 900, 1054, 1714, 1294, 19, 1479, 1478, 1116, 1262, 1448, 1306, 5, 924, 1479, 1163, 1665, 957, 869, 1120, 1294, 459, 1168, 17, 1379, 1614, 1185, 1430, 1233, 1754, 1724, 1233, 1817, 1543, 1680, 1698, 218, 462, 22, 206, 462, 1245, 596, 550, 574, 1496, 901, 413, 992, 999, 1773, 557, 1427, 919, 454, 158, 1662, 308, 206, 352, 1620, 842, 1678, 629, 831, 999, 1803, 67, 725, 688, 554, 1363, 1588, 510, 1681, 788, 1422, 1207, 958, 573, 252, 1068, 808, 571, 818, 872, 874, 910, 1500, 1278, 1729, 162, 1241, 384, 330, 1714, 1139, 1100, 1447, 581, 616, 1513, 521, 1258, 172, 910, 499, 518, 1817, 714, 354, 1186, 1074, 1661, 1335, 779, 911, 769, 621, 1673, 166, 208, 252, 239, 454, 890, 214, 1449, 1364, 372, 550, 1341, 796, 319, 197, 357, 870, 537, 245, 1235, 135, 218, 944, 822, 1688, 1056, 260, 291, 1089, 1424, 113, 267, 1427, 791, 557, 1447, 569, 1764, 521, 1703, 1584, 997, 1634, 492, 886, 1472, 446, 740, 408, 1411, 1267, 1282, 1700, 1593, 1256, 758, 1424, 1230, 1598, 1429, 1621, 1541, 1432, 1754, 1489, 1057, 1832, 1355, 546, 1809, 1034, 1476, 1495, 979, 1707, 1355, 1175, 1704, 1059, 995, 1144, 1120, 1233, 1714, 1337, 0, 162, 162, 218, 135, 656, 714, 321, 770, 1447, 614, 593, 1161, 491, 1802, 236, 807, 782, 1775, 1238, 218, 599, 181, 430, 178, 357, 1671, 239, 146, 429, 788, 364, 1723, 198, 189, 50, 157, 991, 1053, 569, 1484, 206, 910, 1751, 368, 917, 1782, 1027, 557, 1431, 135, 215, 1449, 1439, 1591, 22, 380, 1241, 117, 1351, 806, 1506, 931, 98, 1772, 1025, 1422, 1546, 868, 398, 152, 639, 157, 1817, 115, 842, 474, 782, 1423, 142, 1528, 205, 1337, 1761, 113, 793, 1416, 1147, 1319, 1069, 1178, 1689, 1686, 1646, 1646, 658, 407, 1711, 1226, 456, 1784, 864, 1377, 158, 1238, 473, 587, 911, 321, 767, 142, 1805, 115, 1667, 475, 1033, 411, 1223, 757, 951, 1084, 221, 1675, 876, 524, 1461, 93, 927, 806, 271, 1793, 215, 1125, 1506, 142, 1197, 733, 1206, 1466, 1006, 1216, 1268, 1131, 1090, 1414, 1211, 1500, 1713, 1171, 1679, 1421, 1117, 1669, 1333, 1164, 1474, 1195, 1730, 805, 1316, 1479, 1065, 1367, 1763, 42, 1230, 121, 19, 1701, 1418, 1212, 1713, 1632, 1212, 1669, 1282, 1638, 1749, 1259, 1634, 1458, 1355, 1747, 1458, 1681, 1721, 1225, 416, 1370, 49, 181, 245, 181, 69, 543, 50, 1370, 589, 883, 375, 291, 725, 657, 664, 1629, 106, 438, 248, 1661, 621, 1326, 1590, 102, 1023, 73, 1423, 1326, 550, 1289, 1218, 664, 1803, 828, 1206, 1289, 628, 1399, 1453, 816, 1690, 1750, 1197, 1770, 1504, 1314, 1478, 1504, 1367, 861, 1309, 1632, 1408, 1316, 1185, 805, 1205, 1346, 1079, 1305, 1474, 1309, 1829, 1812, 497, 1770, 576, 1730, 815, 1826, 1729, 1661, 330, 863, 231, 422, 557, 335, 102, 1723, 614, 1593, 88, 1768, 83, 1748, 789, 1677, 1472, 1022, 1163, 1729, 218, 202, 614, 4, 87, 1741, 228, 1791, 228, 1733, 380, 1312, 637, 1269, 1263, 1601, 1237, 12, 386, 247, 221, 1050, 93, 1018, 973, 931, 1742, 402, 1686, 81, 1833, 271, 1764, 547, 1239, 806, 933, 48, 1448, 1612, 1015, 1424, 1417, 179, 1089, 59, 917, 1318, 136, 269, 1258, 1025, 569, 1358, 203, 173, 1828, 210, 1088, 569, 570, 825, 571, 27, 361, 1741, 319, 213, 162, 1156, 239, 1058, 966, 893, 115, 893, 179, 1060, 370, 1541, 173, 1694, 210, 1021, 370, 1509, 769, 1013, 1420, 1797, 1440, 1264, 1730, 1311, 1117, 1227, 1032, 1116, 1373, 1223, 1303, 449, 1316, 1223, 449, 1054, 978, 460, 1117, 905, 1130, 1282, 1010, 1074, 1096, 459, 1125, 1142, 1153, 1817, 676, 1153, 957, 1448, 1665, 1273, 1448, 820, 1478, 1458, 377, 1277, 938, 1536, 1790, 319, 53, 874, 1662, 215, 1320, 1488, 115, 1466, 1575, 621, 1783, 134, 660, 1782, 210, 713, 657, 499, 134, 864, 1512, 705, 308, 395, 1382, 1619, 1655, 1400, 1487, 1046, 369, 1403, 518, 1251, 386, 1301, 88, 1466, 95, 560, 1821, 1782, 1511, 1543, 640, 549, 708, 1061, 424, 6, 721, 549, 1081, 142, 476, 93, 1764, 1396, 809, 591, 657, 1320, 1058, 886, 1472, 1470, 748, 1238, 310, 1451, 777, 1053, 1488, 759, 510, 384, 49, 137, 454, 213, 1166, 1476, 368, 1424, 1059, 907, 1770, 1073, 1238, 1237, 1091, 1497, 1638, 1649, 1372, 1306, 1473, 1776, 1214, 1484, 1393, 719, 1736, 1028, 1504, 1067, 128011, 128001 ]

[ 128000, 128002, 11649, 358, 8434, 956, 2019, 499, 4460, 990, 11, 358, 4265, 1120, 2019, 420, 832, 374, 1120, 13241, 13, 1472, 1440, 11, 433, 596, 1120, 11, 433, 596, 264, 2204, 1648, 11, 433, 596, 264, 502, 3169, 315, 2373, 315, 3815, 433, 13, 128003, 128005, 967, 727, 789, 1307, 741, 170, 498, 107, 228, 565, 1261, 186, 1056, 380, 547, 65, 81, 1261, 170, 474, 1073, 874, 1632, 1738, 1455, 173, 1268, 25, 1630, 1329, 1438, 1428, 608, 823, 1547, 541, 273, 10, 1471, 1487, 300, 944, 1791, 96, 1116, 634, 296, 1405, 350, 999, 1504, 979, 1213, 1781, 1178, 1453, 1009, 1178, 853, 1215, 947, 1427, 1274, 685, 1556, 648, 656, 945, 315, 1332, 92, 599, 1773, 96, 1438, 113, 512, 1564, 218, 1351, 488, 137, 969, 909, 1094, 1277, 1694, 723, 1152, 1389, 1305, 737, 1474, 1192, 1628, 545, 1785, 777, 1426, 825, 931, 1068, 1422, 1204, 68, 743, 1720, 1330, 76, 521, 370, 218, 329, 303, 834, 886, 490, 1128, 1054, 1695, 522, 966, 376, 402, 1407, 592, 1178, 333, 154, 930, 344, 884, 1104, 787, 172, 934, 488, 330, 1436, 206, 557, 1724, 1101, 1092, 999, 1077, 1700, 300, 205, 87, 152, 576, 333, 1082, 1021, 858, 495, 802, 948, 908, 297, 1190, 1141, 587, 221, 1243, 1024, 1411, 868, 326, 1439, 711, 876, 1691, 579, 1646, 328, 1393, 1617, 947, 1077, 1757, 764, 116, 1773, 886, 1496, 1283, 701, 1665, 1250, 672, 1751, 386, 1534, 791, 733, 1410, 42, 1761, 1484, 1674, 1495, 729, 56, 1188, 735, 837, 869, 1152, 613, 598, 1372, 1744, 1022, 564, 714, 972, 917, 1777, 1113, 776, 1636, 1424, 437, 1780, 1455, 1070, 1668, 1189, 304, 1172, 353, 680, 1475, 761, 1145, 1079, 136, 649, 259, 1284, 1028, 566, 10, 1028, 1637, 1355, 1076, 426, 918, 487, 1430, 266, 544, 459, 40, 1536, 1051, 807, 451, 1104, 376, 1401, 919, 711, 1068, 985, 1435, 1468, 1003, 110, 1105, 1499, 1286, 1089, 1144, 966, 642, 1456, 695, 1705, 475, 1741, 102, 1812, 537, 684, 1375, 1108, 1123, 1139, 58, 1278, 1711, 1097, 1342, 1772, 1005, 1337, 1651, 870, 1364, 1228, 1074, 1087, 1740, 715, 105, 1662, 886, 1611, 541, 533, 1383, 652, 823, 865, 1592, 694, 865, 1268, 1818, 1462, 1828, 456, 1225, 1282, 680, 1290, 1354, 1061, 1761, 1073, 76, 211, 788, 1188, 845, 1168, 1181, 1362, 1476, 679, 162, 84, 836, 522, 1344, 1779, 347, 1405, 980, 1292, 1731, 53, 575, 1075, 1125, 1147, 588, 1721, 723, 727, 1078, 655, 1498, 690, 1439, 159, 1711, 537, 225, 962, 324, 425, 1139, 769, 102, 607, 318, 1129, 627, 1379, 1694, 26, 399, 1228, 1135, 853, 400, 730, 1617, 902, 905, 1683, 1059, 843, 781, 1245, 1273, 349, 1257, 308, 926, 701, 755, 1491, 870, 1058, 1644, 1136, 1406, 1588, 607, 1595, 1272, 932, 1773, 828, 1595, 983, 804, 1431, 994, 1628, 1038, 167, 1316, 1092, 570, 1429, 1509, 1671, 173, 1473, 393, 828, 535, 492, 1021, 1086, 744, 985, 635, 599, 829, 1329, 424, 1749, 386, 406, 664, 513, 1263, 1448, 1526, 1036, 86, 1331, 1475, 954, 1450, 1428, 1747, 842, 1033, 867, 976, 274, 1568, 301, 325, 459, 601, 1543, 387, 1007, 325, 981, 1007, 426, 1092, 1474, 387, 1003, 325, 933, 824, 1474, 845, 862, 1003, 1273, 1220, 1414, 569, 86, 359, 681, 730, 1731, 1312, 1136, 744, 110, 1830, 1295, 1459, 662, 1130, 1014, 1134, 1138, 1278, 1062, 1073, 1138, 1310, 1123, 1426, 301, 1353, 1360, 789, 1303, 705, 1434, 1490, 1278, 693, 1725, 1067, 35, 431, 1234, 1473, 1041, 1392, 864, 1786, 1034, 994, 617, 95, 909, 1160, 926, 372, 1193, 331, 1059, 171, 1790, 1181, 205, 1822, 1493, 962, 1648, 1450, 1818, 637, 1454, 695, 780, 1794, 1532, 652, 652, 768, 847, 169, 165, 219, 219, 244, 128011, 128001 ]

[ 128000, 128002, 13359, 499, 11, 36157, 13, 816, 12791, 11, 358, 656, 45992, 32349, 13, 2360, 11, 719, 433, 596, 11, 433, 596, 11, 44844, 11, 433, 596, 264, 1695, 11, 433, 596, 264, 1695, 3245, 13, 128003, 128005, 1041, 882, 1438, 1040, 1468, 1216, 1342, 1795, 1303, 1173, 203, 324, 95, 57, 371, 36, 687, 756, 1335, 780, 1047, 648, 827, 41, 854, 585, 1292, 1059, 666, 726, 1104, 1704, 1104, 1668, 783, 1225, 1281, 1803, 1021, 487, 1631, 694, 438, 1110, 1396, 886, 831, 1139, 1219, 944, 32, 524, 1346, 466, 1470, 1417, 1002, 1743, 1739, 927, 1690, 1731, 1178, 1471, 1605, 1094, 1823, 380, 352, 1690, 375, 115, 1457, 309, 961, 658, 660, 1631, 300, 972, 1247, 1556, 1639, 1091, 1239, 1041, 1506, 1422, 999, 1047, 1008, 1175, 1495, 788, 848, 1313, 1241, 1270, 1476, 18, 1230, 1532, 1476, 1199, 1650, 1475, 260, 1449, 800, 730, 1751, 570, 998, 1057, 571, 840, 1104, 1097, 355, 1094, 1311, 625, 1170, 717, 1037, 1200, 974, 1487, 965, 205, 735, 361, 1180, 396, 1156, 1316, 1070, 878, 993, 1163, 1153, 1209, 250, 1379, 655, 1142, 1054, 66, 766, 1421, 734, 1311, 1758, 822, 725, 443, 212, 236, 768, 157, 461, 215, 225, 1796, 1367, 744, 1663, 384, 76, 433, 367, 137, 282, 818, 1795, 1395, 1486, 254, 1686, 87, 135, 520, 100, 1073, 1285, 1355, 1436, 1519, 357, 1679, 1410, 1247, 1746, 1718, 656, 1008, 49, 228, 1407, 228, 493, 921, 1313, 1303, 1681, 556, 1524, 882, 631, 1451, 1342, 1780, 637, 73, 932, 137, 248, 58, 212, 1358, 657, 181, 690, 184, 245, 1173, 55, 146, 1229, 1382, 1171, 169, 1074, 1421, 334, 1098, 905, 1128, 1130, 470, 1205, 1658, 516, 1178, 548, 1489, 1707, 316, 950, 447, 513, 1040, 1267, 366, 1224, 843, 1496, 950, 837, 884, 1510, 26, 778, 1175, 664, 1801, 520, 430, 120, 750, 1621, 548, 1495, 1248, 261, 1012, 1674, 522, 191, 125, 138, 1645, 587, 944, 1206, 452, 1505, 1695, 1188, 776, 1432, 1227, 338, 1054, 437, 487, 1108, 663, 1011, 899, 986, 686, 585, 1114, 325, 513, 862, 766, 513, 1390, 651, 1142, 666, 939, 686, 712, 612, 902, 900, 1253, 1136, 1026, 1621, 950, 1211, 28, 694, 713, 636, 1813, 1105, 716, 774, 1241, 814, 431, 1043, 891, 383, 1611, 685, 1245, 1648, 142, 1590, 658, 1369, 768, 1471, 725, 1361, 1244, 1436, 1144, 1702, 1631, 1023, 1688, 459, 724, 1451, 981, 1359, 1051, 1109, 1005, 1378, 1425, 1041, 693, 1817, 1303, 1071, 178, 1076, 1360, 1397, 174, 1176, 971, 1236, 1405, 351, 165, 219, 244, 128011, 128001 ]

[ 128000, 128002, 4071, 577, 35401, 11, 1093, 358, 1440, 358, 1053, 733, 304, 1070, 11, 358, 1053, 1505, 1124, 11, 358, 1053, 1005, 1124, 1093, 22571, 13, 128003, 128005, 1258, 184, 100, 813, 228, 524, 520, 181, 300, 425, 83, 756, 1403, 604, 855, 1588, 1447, 1716, 1203, 791, 297, 1638, 1646, 1796, 1215, 1634, 1556, 1462, 1086, 697, 260, 51, 135, 164, 83, 39, 565, 295, 172, 797, 455, 1127, 1257, 1591, 1314, 831, 1073, 1758, 1069, 1259, 754, 762, 902, 1397, 870, 1462, 1760, 1422, 1185, 1667, 1481, 624, 724, 563, 1142, 325, 1007, 1465, 544, 651, 1016, 513, 799, 1016, 516, 899, 1151, 513, 1669, 692, 805, 933, 567, 1652, 1255, 1142, 1799, 1252, 890, 498, 433, 152, 433, 234, 232, 1419, 781, 300, 937, 569, 658, 1411, 1212, 723, 116, 146, 452, 292, 96, 966, 621, 2, 1047, 1795, 948, 1043, 1211, 1132, 1113, 463, 973, 205, 270, 443, 320, 290, 680, 1081, 581, 152, 946, 208, 248, 1000, 155, 76, 871, 587, 25, 1816, 228, 1113, 536, 356, 1384, 506, 402, 24, 1645, 1323, 1036, 336, 795, 1029, 1427, 907, 1147, 1342, 1087, 211, 657, 1368, 218, 723, 616, 245, 1813, 1545, 471, 807, 254, 827, 280, 179, 1345, 1308, 537, 411, 1668, 1012, 516, 1223, 1443, 764, 82, 93, 65, 135, 422, 107, 557, 502, 1206, 1297, 857, 697, 1389, 1755, 639, 1534, 382, 993, 1631, 382, 1667, 1325, 1100, 146, 552, 170, 632, 67, 25, 621, 806, 245, 398, 1596, 909, 140, 95, 556, 1477, 1472, 1147, 1356, 1749, 1197, 1200, 1097, 282, 1186, 84, 1326, 446, 372, 868, 733, 347, 203, 179, 1501, 1640, 846, 970, 1818, 948, 1506, 1, 927, 1662, 1382, 366, 875, 522, 1335, 1769, 380, 1444, 282, 996, 1691, 943, 736, 790, 961, 200, 330, 1077, 615, 679, 1042, 1582, 1434, 1675, 614, 1026, 1261, 291, 1238, 349, 970, 1359, 1064, 1114, 1094, 1038, 995, 1665, 1156, 340, 549, 123, 1431, 1053, 1776, 512, 994, 1757, 713, 1573, 1061, 485, 117, 308, 793, 1228, 689, 1303, 1281, 1235, 1053, 491, 363, 1411, 1213, 1250, 1391, 32, 1681, 1478, 1524, 1500, 1209, 1231, 934, 1815, 13, 1412, 1052, 577, 1170, 229, 792, 434, 1032, 1795, 1090, 733, 837, 378, 651, 694, 676, 1007, 704, 591, 1601, 724, 981, 694, 799, 1293, 325, 513, 1390, 1145, 1360, 187, 165, 453, 244, 128011, 128001 ]

[ 128000, 128002, 40, 4265, 387, 1093, 11, 10035, 11, 499, 1440, 13, 358, 4265, 2567, 1124, 304, 279, 15808, 13, 128003, 128005, 929, 567, 993, 735, 785, 19, 673, 1405, 751, 316, 1223, 259, 923, 1110, 107, 107, 36, 218, 309, 536, 510, 1509, 1011, 19, 1006, 1519, 292, 1068, 787, 153, 1217, 1002, 462, 1022, 874, 1686, 330, 550, 1676, 1034, 1455, 1033, 1276, 733, 838, 1705, 761, 619, 1028, 1535, 773, 1330, 979, 1143, 297, 755, 300, 93, 1366, 1197, 1301, 347, 19, 1091, 400, 1215, 822, 1238, 1379, 372, 1214, 802, 328, 495, 863, 1147, 1624, 780, 1022, 175, 790, 1753, 230, 1310, 1615, 1018, 1647, 4, 1247, 1649, 18, 1075, 416, 440, 1426, 175, 328, 1498, 1679, 454, 1426, 1744, 1082, 1731, 1768, 1714, 1526, 1448, 1127, 877, 1468, 979, 41, 599, 1399, 755, 218, 759, 170, 48, 1642, 1041, 557, 1074, 589, 1762, 571, 1234, 1253, 718, 1826, 777, 801, 1818, 1188, 1723, 1766, 449, 820, 918, 603, 795, 247, 918, 862, 680, 1721, 766, 591, 325, 387, 751, 1151, 712, 1419, 686, 555, 862, 584, 516, 694, 676, 1233, 1362, 566, 1601, 274, 627, 1293, 630, 630, 995, 1228, 1403, 1195, 839, 1232, 349, 113, 228, 682, 335, 1153, 355, 1411, 1195, 585, 1094, 1153, 911, 796, 1478, 1470, 537, 1409, 648, 135, 1056, 1406, 701, 1214, 1124, 1611, 446, 37, 1286, 1052, 1596, 604, 1501, 1620, 827, 1790, 364, 671, 914, 1484, 663, 1009, 965, 1713, 1235, 981, 1460, 881, 926, 1627, 886, 557, 1286, 604, 994, 1389, 1060, 1711, 726, 90, 1656, 941, 923, 1031, 307, 976, 322, 1303, 684, 1680, 447, 734, 1050, 1668, 490, 1123, 1102, 729, 73, 1622, 1501, 695, 1294, 1497, 892, 548, 1501, 1235, 316, 1357, 637, 676, 1335, 1029, 594, 1528, 1134, 381, 1405, 1114, 1760, 1703, 119, 165, 244, 244, 128011, 128001 ]

[ 128000, 128002, 40, 3152, 11, 358, 1781, 358, 3309, 499, 922, 430, 11, 13678, 13, 9086, 430, 499, 1436, 11, 994, 584, 1051, 1176, 6041, 311, 1514, 11, 358, 574, 1093, 11, 14346, 11, 499, 1440, 11, 499, 649, 1005, 1521, 6603, 323, 814, 3358, 11, 477, 279, 29159, 323, 814, 3358, 656, 13, 128003, 128005, 712, 396, 1054, 1200, 361, 1481, 797, 1381, 864, 1277, 367, 1316, 88, 1663, 535, 536, 1302, 1819, 134, 1206, 82, 39, 100, 535, 422, 876, 1027, 1396, 1178, 1097, 446, 560, 441, 138, 324, 725, 218, 697, 983, 186, 790, 1535, 596, 1817, 1325, 656, 628, 170, 782, 1351, 700, 856, 556, 860, 371, 329, 755, 329, 549, 386, 1666, 1173, 518, 890, 642, 157, 1180, 730, 1656, 65, 83, 192, 1416, 100, 973, 155, 1265, 1449, 1129, 1455, 298, 358, 1786, 50, 726, 1817, 296, 981, 1313, 1282, 1726, 303, 1144, 1206, 1276, 1208, 1295, 1640, 16, 423, 41, 547, 571, 637, 25, 374, 637, 260, 639, 474, 1802, 1220, 331, 1230, 1137, 121, 1143, 518, 1524, 173, 1823, 76, 1276, 95, 1320, 1038, 1325, 1051, 568, 999, 250, 986, 1397, 1049, 1180, 1317, 521, 1309, 467, 1303, 467, 1170, 632, 1730, 299, 614, 892, 660, 798, 206, 1208, 1668, 1177, 458, 1134, 1277, 643, 1276, 396, 795, 1199, 674, 1114, 712, 42, 620, 460, 1233, 1151, 516, 862, 766, 939, 1614, 287, 1721, 387, 513, 686, 692, 1380, 325, 676, 933, 766, 939, 1474, 692, 751, 1360, 680, 957, 950, 676, 1138, 1218, 1344, 461, 87, 87, 443, 596, 715, 1464, 1411, 1260, 651, 726, 1742, 794, 215, 74, 138, 983, 292, 1143, 320, 768, 1381, 919, 1212, 1645, 1082, 41, 1002, 1053, 1402, 658, 1426, 935, 578, 459, 509, 808, 1815, 947, 1801, 1234, 711, 1758, 609, 1091, 646, 1255, 857, 1389, 105, 1799, 1103, 976, 1051, 199, 1211, 1158, 1294, 1174, 102, 367, 491, 789, 993, 1391, 1690, 1403, 831, 1342, 1369, 787, 687, 1365, 346, 1447, 1471, 665, 58, 1755, 639, 48, 395, 491, 326, 1261, 1129, 1775, 1677, 1428, 989, 1168, 1359, 1088, 1483, 105, 588, 1173, 1726, 388, 433, 214, 1166, 1110, 1764, 440, 1160, 554, 1241, 1250, 527, 1059, 1124, 179, 412, 74, 367, 252, 595, 800, 1325, 162, 205, 629, 947, 808, 1235, 647, 1476, 410, 525, 1487, 1177, 331, 1306, 1199, 567, 980, 1739, 1630, 1004, 159, 1365, 579, 88, 1330, 979, 1129, 2, 87, 433, 293, 248, 1161, 827, 1194, 931, 1113, 87, 222, 1488, 1034, 1462, 1580, 1403, 825, 1823, 868, 557, 1175, 874, 729, 914, 981, 839, 1347, 1325, 973, 367, 352, 462, 1078, 1153, 364, 389, 1091, 1149, 1293, 796, 1025, 178, 1008, 1817, 347, 728, 1010, 1130, 1497, 113, 252, 1263, 1029, 1297, 320, 700, 716, 849, 1214, 1521, 768, 1093, 854, 1121, 509, 833, 861, 1139, 545, 1654, 1170, 752, 1343, 1112, 1354, 1258, 740, 1009, 709, 495, 1094, 1004, 302, 1476, 715, 1761, 1450, 1532, 1704, 1028, 1421, 1323, 1094, 876, 1290, 1001, 1430, 1682, 1504, 884, 1825, 1451, 1741, 1023, 672, 693, 311, 1511, 429, 969, 1245, 973, 2, 205, 433, 1399, 681, 743, 1051, 981, 570, 1583, 1009, 1061, 1168, 1036, 1517, 628, 751, 1369, 207, 1124, 885, 752, 1761, 674, 1015, 1328, 1501, 774, 1106, 1620, 1326, 1065, 143, 1477, 1112, 1544, 1195, 275, 1783, 627, 624, 1011, 630, 891, 281, 591, 933, 672, 967, 325, 591, 1293, 862, 555, 1390, 544, 751, 274, 712, 751, 694, 680, 899, 1151, 939, 1176, 766, 751, 694, 168, 933, 1011, 487, 957, 681, 1675, 971, 520, 1812, 658, 617, 1450, 1138, 1638, 904, 985, 427, 1024, 869, 406, 1074, 1420, 1459, 1178, 883, 1817, 1135, 221, 116, 1089, 1072, 1078, 236, 210, 395, 1638, 1459, 1019, 1746, 800, 611, 1088, 1218, 1082, 1830, 1504, 1061, 1384, 454, 1661, 1322, 1646, 1123, 1327, 1333, 659, 1532, 984, 1785, 1462, 845, 1022, 1517, 1062, 1542, 239, 1234, 640, 1803, 651, 1664, 1338, 362, 483, 1708, 1310, 1056, 1581, 755, 1736, 1127, 905, 1372, 1361, 651, 1084, 1421, 1060, 1010, 1141, 1034, 345, 1156, 1247, 1037, 792, 741, 1484, 1144, 732, 1423, 1499, 523, 111, 1423, 1213, 1716, 1065, 1490, 944, 1622, 1297, 1486, 1076, 1005, 1770, 1096, 1720, 729, 1003, 405, 322, 1393, 963, 526, 663, 1229, 1429, 1767, 1309, 1315, 715, 1771, 1333, 976, 1138, 400, 1788, 1199, 1632, 1384, 1476, 704, 953, 866, 513, 692, 1570, 712, 712, 681, 1049, 1443, 261, 1281, 1173, 1489, 1384, 764, 1632, 219, 156, 219, 244, 128011, 128001 ]

[ 128000, 128002, 40, 1781, 10671, 779, 13435, 374, 961, 315, 279, 32353, 315, 433, 3582, 13, 358, 7655, 3582, 11, 379, 12791, 1494, 13, 45446, 499, 617, 311, 2231, 779, 1790, 892, 311, 636, 311, 430, 1486, 13, 9086, 856, 59640, 2380, 3752, 374, 264, 18118, 13, 1472, 1440, 1148, 358, 3152, 30, 2030, 430, 3952, 17668, 892, 13, 128003, 128005, 785, 601, 676, 918, 259, 1511, 579, 705, 218, 170, 1537, 882, 0, 751, 1053, 1421, 1035, 178, 297, 1059, 43, 104, 1051, 1411, 181, 1738, 1506, 1313, 1138, 837, 707, 396, 837, 1816, 1156, 329, 510, 104, 1444, 232, 1329, 1764, 881, 490, 1770, 299, 1399, 1160, 1105, 1831, 1180, 1218, 76, 622, 508, 1256, 875, 665, 1025, 208, 1775, 380, 1783, 346, 1408, 1004, 1002, 427, 1470, 1342, 1734, 430, 328, 636, 780, 1290, 154, 919, 1776, 1113, 472, 74, 467, 825, 110, 1256, 356, 610, 369, 98, 176, 1420, 369, 217, 1036, 978, 1749, 869, 31, 1094, 1795, 1489, 1002, 1500, 835, 263, 1723, 276, 1161, 557, 388, 725, 1568, 919, 1448, 672, 976, 651, 1053, 1282, 1465, 1651, 816, 721, 170, 1042, 367, 384, 425, 349, 363, 577, 1086, 367, 282, 1831, 1649, 1324, 1802, 565, 779, 1310, 1209, 325, 1170, 1037, 1638, 869, 301, 1292, 523, 766, 1064, 89, 1255, 717, 1519, 318, 1279, 849, 1168, 795, 980, 563, 1327, 837, 548, 1039, 563, 487, 1306, 259, 766, 918, 396, 821, 1050, 639, 263, 1404, 430, 1074, 1519, 517, 1379, 910, 411, 1298, 723, 536, 1786, 53, 1396, 874, 411, 1813, 711, 105, 1058, 1105, 1260, 1804, 1829, 1403, 1025, 248, 1014, 388, 697, 518, 671, 1766, 1393, 1663, 1813, 339, 732, 901, 711, 1186, 1504, 1220, 744, 885, 586, 68, 1343, 1819, 798, 467, 841, 1462, 714, 550, 514, 1412, 152, 887, 254, 965, 326, 376, 1218, 549, 833, 1111, 1088, 1282, 593, 1385, 1164, 355, 1099, 1468, 629, 1291, 1500, 905, 1110, 519, 1488, 648, 770, 1024, 911, 1384, 1403, 487, 1630, 1272, 1108, 437, 1097, 1245, 1435, 1361, 655, 1501, 1325, 1189, 1504, 486, 1372, 1375, 727, 333, 992, 1583, 1146, 1022, 860, 926, 773, 1141, 1040, 1402, 755, 1171, 1742, 549, 1247, 1711, 452, 979, 1757, 358, 678, 695, 587, 1804, 1399, 1498, 1309, 1375, 1485, 1314, 1345, 1690, 1721, 1360, 417, 838, 1573, 1661, 2, 25, 1401, 714, 1432, 766, 1074, 378, 1701, 715, 1746, 864, 55, 433, 433, 890, 100, 1504, 1285, 1130, 1475, 1631, 886, 1583, 656, 1370, 1364, 522, 1565, 430, 1175, 1642, 372, 1214, 884, 979, 1113, 116, 100, 53, 102, 1240, 276, 573, 518, 243, 1297, 87, 1511, 63, 328, 1323, 202, 1196, 395, 697, 1135, 997, 498, 1192, 595, 58, 763, 872, 1714, 276, 463, 1410, 69, 1116, 1713, 1034, 1589, 927, 1208, 1389, 408, 260, 184, 1135, 723, 609, 956, 587, 537, 376, 521, 552, 1013, 558, 1489, 1468, 926, 438, 993, 814, 799, 1153, 304, 719, 1134, 520, 28, 1053, 32, 881, 229, 121, 857, 66, 649, 891, 333, 711, 917, 943, 537, 550, 1403, 309, 1013, 581, 1211, 1568, 872, 674, 1306, 1043, 601, 1370, 1496, 636, 1495, 792, 1177, 717, 1607, 857, 411, 1784, 565, 1003, 152, 1143, 1318, 422, 1072, 1095, 1078, 1054, 336, 1130, 978, 538, 19, 259, 1797, 1172, 727, 1815, 149, 1569, 1122, 994, 1035, 699, 1257, 1174, 792, 697, 924, 961, 570, 1144, 768, 872, 229, 1646, 1397, 144, 1367, 693, 1007, 1265, 1347, 1004, 291, 1733, 300, 587, 43, 1534, 1293, 878, 845, 1748, 388, 82, 966, 140, 215, 966, 170, 466, 1394, 1178, 1782, 1125, 1309, 1832, 1212, 402, 212, 511, 508, 170, 1086, 243, 955, 243, 271, 492, 157, 537, 390, 36, 931, 1114, 1028, 1090, 426, 979, 1738, 1417, 1206, 1336, 892, 656, 1497, 206, 1171, 1497, 947, 729, 649, 1130, 1519, 434, 1285, 973, 658, 474, 300, 665, 723, 162, 293, 192, 236, 1081, 773, 1117, 54, 1031, 469, 837, 1117, 1629, 579, 116, 1093, 1034, 521, 877, 493, 764, 1068, 554, 1261, 1769, 565, 532, 1253, 1189, 1592, 1172, 457, 1738, 1133, 476, 1481, 932, 1614, 9, 1299, 1511, 1425, 1660, 1251, 1608, 855, 1662, 210, 1493, 474, 1304, 678, 1196, 678, 1196, 609, 887, 1161, 1435, 1660, 1213, 1798, 1279, 1802, 1270, 1513, 1439, 308, 1164, 713, 1292, 785, 902, 1456, 961, 841, 171, 1647, 1097, 1076, 1428, 1129, 490, 1432, 1277, 453, 929, 1070, 772, 1188, 336, 1153, 1316, 799, 650, 516, 1665, 1090, 54, 1170, 1121, 1262, 650, 169, 1104, 1054, 538, 993, 1079, 1694, 1012, 548, 1379, 1064, 486, 852, 247, 1381, 1732, 202, 882, 268, 100, 1733, 51, 104, 607, 380, 186, 73, 192, 371, 218, 164, 116, 39, 205, 1240, 135, 366, 521, 205, 254, 217, 346, 1382, 1249, 599, 1069, 293, 407, 191, 155, 1002, 1022, 232, 872, 617, 1160, 1484, 1725, 1170, 457, 1753, 565, 252, 192, 200, 36, 138, 1155, 1476, 1031, 627, 1041, 1731, 1144, 1178, 832, 1199, 1355, 1032, 1379, 1429, 1716, 999, 1042, 1225, 886, 1312, 1731, 833, 1237, 1175, 1212, 1076, 1492, 372, 1402, 1057, 813, 1212, 1040, 1356, 471, 1062, 423, 1116, 921, 964, 1144, 572, 1073, 973, 537, 537, 324, 146, 260, 711, 463, 1629, 1777, 1188, 31, 1116, 1079, 1528, 292, 1797, 1097, 1435, 1286, 809, 737, 382, 1109, 762, 1067, 717, 1292, 495, 862, 454, 820, 1270, 1318, 524, 65, 147, 462, 1827, 1182, 41, 1393, 1448, 513, 773, 1367, 1810, 868, 1775, 796, 1234, 1215, 1378, 1699, 1454, 1082, 307, 960, 970, 442, 1082, 1358, 1410, 1072, 1517, 1468, 474, 39, 221, 412, 452, 164, 215, 679, 339, 1663, 364, 1316, 1022, 1036, 1252, 300, 1123, 637, 1098, 171, 1496, 1803, 226, 1164, 1052, 1821, 535, 776, 1638, 1421, 562, 691, 971, 1142, 666, 377, 1465, 1003, 31, 661, 1038, 1760, 1033, 165, 219, 244, 128011, 128001 ]

[ 128000, 128002, 791, 2132, 499, 9932, 11, 430, 596, 3249, 358, 42666, 813, 6945, 11, 1093, 813, 6405, 6945, 13, 1102, 596, 1093, 279, 832, 304, 279, 7937, 11, 1314, 30, 54953, 13, 358, 1781, 433, 706, 264, 2697, 9072, 389, 433, 11, 358, 1541, 956, 1440, 13, 1283, 596, 16926, 12072, 994, 568, 53159, 420, 323, 568, 3358, 387, 1093, 11, 128003, 128005, 636, 1118, 1164, 257, 981, 1797, 1792, 1448, 931, 1331, 1263, 349, 1532, 1707, 1393, 630, 1391, 661, 259, 735, 1208, 946, 1114, 959, 1816, 1139, 1001, 341, 1310, 911, 541, 848, 1651, 1332, 906, 388, 806, 43, 25, 1468, 170, 203, 135, 1435, 1678, 24, 346, 107, 128, 104, 1161, 135, 232, 587, 1712, 43, 1816, 146, 1686, 877, 358, 1032, 1401, 347, 1680, 665, 474, 104, 170, 1636, 170, 1762, 92, 1098, 1708, 357, 300, 1300, 282, 1180, 648, 206, 1077, 214, 1161, 773, 1099, 564, 1261, 843, 1773, 1099, 559, 701, 764, 36, 128, 39, 47, 43, 88, 13, 1160, 585, 849, 1495, 852, 28, 672, 867, 1116, 717, 1825, 1229, 367, 248, 753, 847, 221, 184, 1005, 173, 361, 656, 115, 1353, 581, 142, 1353, 330, 887, 639, 349, 53, 1344, 656, 81, 252, 1524, 827, 905, 1230, 1421, 274, 1034, 1820, 1210, 522, 768, 341, 1082, 1306, 986, 979, 1770, 253, 517, 1749, 1261, 1153, 116, 1396, 1029, 894, 1039, 1153, 1758, 1407, 1261, 1804, 239, 1320, 1777, 767, 1305, 1623, 459, 465, 1139, 1481, 841, 456, 1082, 657, 1379, 813, 726, 1199, 643, 410, 1108, 1639, 854, 1052, 1489, 524, 1652, 1341, 764, 861, 422, 1361, 86, 1024, 1517, 227, 1116, 729, 795, 1254, 275, 1665, 1065, 1794, 1173, 1150, 1630, 1150, 768, 959, 206, 1138, 989, 924, 445, 999, 1055, 1393, 461, 831, 1426, 1671, 1278, 911, 1546, 368, 344, 555, 1024, 1012, 781, 1174, 894, 1320, 413, 1817, 642, 363, 711, 1737, 93, 1468, 297, 944, 1758, 1720, 595, 1814, 1462, 400, 1389, 1629, 791, 1352, 236, 872, 681, 1329, 751, 185, 1322, 651, 957, 666, 735, 995, 933, 627, 1639, 513, 584, 1043, 174, 1305, 1060, 923, 1777, 1357, 1511, 1348, 1075, 719, 971, 1485, 901, 1776, 1303, 1311, 1241, 1097, 1466, 1268, 1272, 1041, 1043, 1780, 1247, 1309, 1750, 833, 1361, 1383, 1104, 460, 1510, 772, 513, 387, 627, 1233, 620, 674, 950, 1067, 1315, 1034, 1357, 1764, 1349, 1281, 1794, 1082, 1263, 1726, 943, 628, 239, 794, 1420, 665, 1822, 961, 1075, 1487, 1136, 886, 787, 864, 721, 911, 1094, 1109, 1701, 950, 1465, 1642, 1769, 1042, 1459, 887, 662, 1751, 818, 1725, 1196, 946, 1298, 959, 1496, 887, 1525, 95, 878, 910, 1395, 693, 1437, 795, 1406, 1399, 1648, 1384, 755, 1752, 957, 1387, 4, 1451, 654, 1035, 1035, 541, 895, 884, 1331, 1454, 849, 1339, 1351, 704, 907, 1395, 681, 1499, 1638, 670, 1378, 1304, 1517, 304, 660, 1235, 995, 961, 741, 1305, 934, 767, 1311, 860, 1205, 1258, 1214, 337, 1820, 426, 651, 1320, 1212, 1280, 1261, 1794, 1700, 1375, 1465, 1212, 938, 1309, 1379, 1418, 1458, 793, 727, 1292, 869, 1070, 672, 1137, 387, 1362, 824, 1719, 696, 712, 862, 680, 1348, 649, 526, 1694, 907, 1750, 330, 411, 440, 115, 1661, 81, 1210, 57, 1204, 1478, 1036, 1118, 1205, 1303, 316, 1059, 1121, 680, 1448, 405, 584, 724, 516, 1390, 704, 891, 1474, 555, 1011, 465, 751, 1614, 585, 1007, 666, 513, 1293, 1151, 627, 1176, 692, 799, 426, 1142, 274, 1244, 624, 1362, 676, 487, 1021, 301, 1592, 1168, 316, 1430, 1154, 606, 924, 470, 1553, 1223, 237, 1305, 1131, 900, 1130, 174, 1553, 1134, 1815, 979, 777, 775, 1495, 261, 1094, 1180, 730, 135, 797, 361, 1310, 1757, 1781, 1107, 492, 1178, 498, 730, 1691, 1568, 1642, 1439, 1543, 1806, 781, 1165, 1605, 775, 1181, 125, 1803, 806, 1778, 523, 1554, 1353, 879, 1167, 753, 1172, 136, 1588, 19, 1553, 999, 1264, 1668, 446, 1203, 520, 393, 1193, 215, 1203, 887, 944, 1154, 670, 1125, 832, 1725, 1208, 1155, 1268, 1119, 890, 1203, 5, 1345, 1245, 1731, 1106, 322, 715, 655, 406, 1195, 229, 1774, 1197, 1656, 1611, 934, 609, 693, 949, 1399, 1309, 594, 1750, 1342, 406, 1761, 1169, 1357, 847, 1204, 568, 1682, 1456, 1455, 1065, 1697, 846, 1440, 1027, 1272, 455, 768, 328, 796, 1620, 1235, 1366, 1750, 358, 1129, 455, 759, 302, 1733, 410, 934, 1768, 1031, 643, 1809, 1117, 1738, 517, 1292, 1621, 1195, 937, 671, 1448, 1078, 506, 980, 816, 1480, 581, 981, 479, 1164, 1000, 1447, 1738, 77, 1168, 1123, 1176, 1059, 1142, 1451, 1067, 1465, 1450, 516, 1784, 1424, 1115, 547, 998, 656, 1294, 382, 1435, 407, 1211, 756, 1168, 903, 821, 1173, 1655, 947, 792, 865, 1054, 1010, 552, 938, 466, 785, 730, 927, 803, 665, 1123, 1422, 1532, 1654, 1524, 1325, 1736, 36, 1716, 1069, 483, 1421, 1754, 713, 1642, 1451, 1146, 1456, 1325, 1181, 864, 1064, 1534, 764, 1079, 973, 388, 1154, 1785, 1147, 1421, 983, 318, 1077, 666, 1215, 1775, 725, 135, 1801, 228, 282, 545, 104, 1206, 536, 521, 1278, 1327, 608, 1701, 595, 764, 1200, 1402, 300, 1135, 1291, 393, 1264, 656, 800, 1071, 1568, 1504, 1781, 172, 1183, 725, 271, 1232, 1431, 383, 1277, 1284, 1481, 275, 1171, 1173, 1342, 1166, 1675, 430, 299, 560, 300, 741, 356, 1116, 1730, 1329, 526, 1639, 1116, 1541, 206, 791, 858, 993, 1173, 687, 711, 966, 254, 791, 452, 172, 841, 592, 1098, 1823, 656, 1462, 1400, 719, 1777, 362, 239, 1682, 1682, 1656, 1525, 1495, 1731, 1758, 1400, 983, 1819, 768, 1326, 931, 1794, 931, 1677, 1358, 512, 1690, 1434, 1270, 1826, 1393, 865, 1830, 1215, 1395, 1497, 796, 1326, 1329, 1600, 1749, 1370, 1757, 1748, 1364, 1761, 1034, 1450, 1306, 1073, 951, 1280, 1160, 1591, 1774, 639, 1819, 1226, 1805, 1279, 1720, 1733, 1196, 609, 1235, 1409, 1378, 461, 1326, 1156, 1183, 1295, 944, 1361, 1808, 958, 1471, 502, 299, 1774, 725, 299, 1077, 110, 43, 1135, 1487, 512, 1164, 1031, 773, 1806, 800, 1761, 1071, 719, 1062, 1368, 537, 1089, 903, 1412, 64, 1621, 1121, 119, 924, 229, 1437, 1119, 721, 1824, 1005, 1373, 1500, 1232, 388, 422, 214, 434, 1098, 680, 431, 523, 762, 869, 674, 1411, 1355, 1646, 656, 1393, 1088, 1029, 1404, 347, 1197, 1280, 1143, 853, 1146, 707, 995, 1125, 1505, 1822, 1177, 5, 1682, 1098, 55, 973, 341, 74, 695, 703, 1412, 1086, 1674, 1741, 1211, 1129, 1303, 185, 165, 244, 244, 128011, 128001 ]

[ 128000, 128002, 24220, 11, 1314, 13, 3744, 315, 279, 32353, 11, 358, 1781, 11, 922, 59640, 596, 4731, 5423, 11, 323, 358, 2846, 7556, 922, 279, 9063, 4731, 11, 539, 279, 35288, 4731, 11, 44844, 11, 374, 430, 279, 11936, 2744, 617, 459, 16940, 311, 1148, 596, 3604, 2133, 389, 304, 279, 1917, 13, 2100, 422, 499, 1427, 520, 279, 19809, 11, 499, 1440, 11, 499, 617, 420, 5609, 11, 433, 574, 1093, 11, 19670, 13054, 11, 8945, 13, 1472, 1440, 11, 499, 1427, 520, 430, 11, 499, 1440, 11, 6392, 1093, 430, 13, 2100, 358, 1781, 430, 596, 961, 315, 279, 128003, 128005, 802, 1631, 1701, 1342, 937, 1596, 1029, 1790, 218, 248, 1755, 172, 221, 1447, 271, 1252, 665, 1083, 1160, 1030, 1121, 1399, 255, 586, 1494, 494, 1367, 492, 1038, 1178, 754, 947, 720, 1475, 947, 1047, 472, 1064, 1448, 163, 929, 1199, 199, 1116, 449, 1142, 1309, 1070, 1128, 1154, 1070, 707, 674, 785, 1657, 1725, 1485, 1407, 1241, 596, 1800, 154, 1639, 1282, 4, 976, 333, 895, 1822, 1209, 545, 1485, 25, 730, 367, 433, 614, 808, 170, 1015, 1356, 1226, 1220, 282, 1734, 1746, 1160, 473, 610, 364, 1300, 170, 1388, 1698, 1057, 1428, 335, 410, 1651, 356, 1031, 1349, 1282, 1424, 1030, 1113, 1097, 1351, 1122, 877, 730, 1263, 848, 535, 1102, 850, 1509, 1750, 800, 580, 352, 179, 277, 245, 1126, 1249, 878, 691, 930, 1245, 621, 270, 499, 1308, 382, 1045, 1741, 1024, 1591, 81, 142, 297, 1813, 406, 1677, 142, 491, 1620, 595, 147, 621, 1439, 173, 1381, 1651, 1202, 1114, 1099, 1305, 1342, 767, 1632, 822, 838, 1375, 1165, 1330, 664, 390, 1593, 1170, 173, 1490, 1649, 339, 260, 1620, 1220, 892, 39, 373, 1473, 1072, 364, 525, 1506, 872, 741, 583, 1788, 1309, 680, 1370, 1583, 640, 989, 1033, 1292, 1115, 624, 993, 583, 1430, 872, 747, 1375, 1001, 1721, 1342, 1524, 1651, 1053, 600, 999, 1455, 795, 881, 905, 1125, 339, 1780, 1422, 1646, 485, 1, 1623, 781, 649, 1233, 632, 657, 715, 309, 252, 239, 791, 959, 333, 948, 1513, 232, 1214, 767, 1190, 1772, 997, 662, 1627, 339, 662, 454, 657, 1703, 300, 1481, 1437, 382, 370, 514, 979, 499, 158, 587, 730, 1004, 535, 626, 599, 306, 1372, 1029, 1347, 882, 535, 1607, 218, 1726, 1670, 844, 798, 13, 93, 341, 860, 291, 1711, 650, 42, 874, 339, 836, 1073, 904, 1655, 689, 1824, 1415, 764, 841, 847, 82, 125, 402, 222, 687, 948, 1735, 595, 898, 1542, 498, 140, 367, 416, 1164, 345, 1212, 260, 1472, 1235, 1000, 1721, 984, 1421, 974, 1248, 874, 575, 1389, 410, 1455, 206, 549, 29, 181, 95, 1636, 528, 1833, 375, 361, 11, 656, 1068, 382, 411, 1652, 1005, 555, 1053, 1049, 927, 1453, 782, 1499, 1382, 1746, 1688, 400, 1726, 1041, 909, 570, 1064, 1785, 431, 171, 1459, 660, 719, 173, 1388, 393, 492, 1476, 1051, 235, 1134, 490, 1074, 1124, 608, 1192, 1657, 604, 1373, 346, 902, 892, 1104, 579, 1534, 463, 839, 1057, 1186, 1246, 347, 250, 1777, 902, 297, 1685, 570, 845, 65, 1153, 693, 1375, 1799, 538, 1146, 1736, 1677, 1621, 1347, 1212, 406, 565, 1118, 1629, 1310, 735, 1573, 579, 1361, 1084, 768, 1400, 905, 1432, 1495, 643, 1134, 1162, 1668, 1170, 486, 999, 1067, 566, 1355, 523, 1128, 1116, 31, 1104, 1421, 680, 1031, 624, 1164, 1303, 287, 1040, 1010, 866, 1130, 169, 924, 1211, 627, 1255, 1142, 513, 1033, 563, 724, 691, 1224, 497, 642, 880, 697, 2, 152, 74, 39, 248, 844, 1072, 755, 146, 159, 1596, 570, 81, 525, 22, 535, 552, 1506, 347, 1105, 1103, 993, 1129, 1797, 349, 1077, 719, 1412, 1260, 1091, 1378, 1279, 1329, 1179, 1228, 1099, 1123, 1021, 1437, 1310, 1084, 919, 1002, 688, 138, 191, 794, 962, 1686, 1436, 1403, 1624, 512, 1728, 1703, 1120, 1380, 393, 294, 367, 282, 581, 172, 474, 123, 81, 297, 277, 658, 1415, 656, 1186, 989, 1143, 1289, 881, 1223, 458, 1495, 909, 110, 393, 868, 687, 1229, 1518, 328, 1290, 782, 911, 865, 328, 386, 720, 2, 43, 569, 801, 806, 1178, 270, 106, 1736, 656, 93, 1825, 1082, 1001, 1083, 135, 41, 1552, 870, 34, 364, 998, 87, 764, 1196, 1607, 955, 1344, 183, 441, 462, 456, 945, 320, 922, 367, 135, 600, 293, 96, 1427, 688, 104, 1743, 943, 1259, 1494, 471, 1624, 1439, 870, 1718, 870, 636, 1646, 1270, 1228, 1583, 344, 995, 1565, 1145, 585, 1479, 651, 933, 459, 334, 1279, 1333, 42, 1182, 1647, 1436, 604, 1823, 868, 210, 248, 65, 206, 299, 600, 1773, 1097, 1263, 299, 1194, 1818, 927, 1620, 1075, 1307, 1343, 1216, 1683, 1180, 1132, 1457, 339, 302, 1313, 1012, 1787, 320, 828, 1163, 960, 484, 944, 521, 312, 725, 688, 1482, 521, 98, 508, 1083, 1507, 1281, 1055, 1661, 1184, 1340, 474, 532, 1308, 958, 1399, 300, 931, 376, 537, 576, 57, 637, 716, 687, 1680, 1636, 330, 1534, 1761, 1067, 740, 24, 1500, 1822, 1447, 907, 291, 1655, 1146, 718, 442, 1690, 238, 1330, 1040, 816, 644, 1631, 724, 1290, 863, 1831, 944, 142, 536, 1410, 299, 569, 1077, 463, 847, 860, 1774, 169, 410, 1611, 18, 463, 1290, 62, 1204, 828, 1492, 1271, 1773, 759, 557, 1824, 383, 449, 820, 1067, 338, 1005, 1421, 560, 588, 1748, 82, 1152, 1426, 613, 1796, 370, 843, 947, 829, 950, 715, 905, 1139, 1301, 1097, 1100, 1075, 1149, 1004, 1209, 774, 1260, 123, 58, 547, 737, 870, 497, 1273, 989, 1218, 1815, 604, 934, 1628, 1160, 568, 1364, 1167, 1447, 1055, 1280, 259, 1715, 1118, 548, 917, 486, 974, 1663, 904, 679, 843, 903, 974, 1340, 708, 1653, 210, 647, 679, 1132, 1533, 1517, 484, 1205, 1268, 1513, 328, 865, 654, 1325, 411, 87, 277, 741, 57, 955, 386, 51, 1156, 113, 452, 1087, 861, 1012, 1123, 665, 806, 388, 358, 1289, 1565, 1059, 1590, 318, 318, 310, 200, 759, 10, 715, 998, 1591, 1521, 1002, 946, 249, 83, 1013, 2, 170, 647, 759, 1247, 674, 1292, 1012, 1823, 270, 380, 107, 831, 135, 1013, 372, 910, 123, 157, 1245, 1711, 1125, 1475, 1379, 1714, 805, 1134, 732, 1142, 1309, 953, 1665, 1104, 1662, 656, 203, 822, 948, 1661, 232, 774, 143, 715, 1774, 739, 579, 716, 796, 604, 1368, 1270, 499, 1312, 713, 499, 1490, 919, 1206, 1628, 656, 1321, 277, 1130, 490, 1021, 693, 445, 1164, 1070, 1215, 707, 673, 833, 651, 1359, 1012, 601, 999, 1211, 585, 1074, 169, 1215, 1130, 275, 1094, 936, 995, 1134, 331, 878, 1489, 337, 1168, 486, 1338, 1284, 624, 1360, 1144, 1440, 1752, 1804, 388, 402, 87, 170, 678, 1729, 1329, 1465, 357, 581, 1411, 358, 1282, 689, 764, 737, 557, 346, 162, 205, 182, 162, 200, 295, 152, 123, 479, 260, 92, 860, 632, 648, 956, 931, 2, 39, 557, 1160, 1436, 452, 618, 1526, 517, 1437, 1345, 883, 1146, 726, 1629, 218, 549, 110, 1620, 1752, 1397, 535, 550, 616, 1040, 570, 13, 738, 434, 1117, 687, 1206, 1381, 947, 1105, 1210, 1127, 956, 339, 254, 579, 1243, 1306, 1038, 1805, 711, 158, 205, 937, 1751, 802, 640, 231, 654, 895, 1015, 388, 173, 125, 364, 571, 1253, 461, 113, 102, 1493, 999, 1110, 998, 1622, 1466, 700, 83, 1488, 507, 1261, 1733, 1332, 115, 536, 911, 349, 1167, 881, 1316, 447, 929, 1443, 847, 221, 1127, 800, 393, 402, 115, 93, 711, 800, 858, 730, 898, 1074, 791, 1257, 1228, 604, 1323, 895, 1041, 1152, 1528, 727, 1780, 497, 1690, 210, 1488, 441, 937, 1344, 887, 1651, 9, 1344, 1210, 473, 1254, 1782, 989, 1062, 344, 1671, 464, 1714, 1245, 909, 452, 676, 587, 1168, 1501, 452, 724, 1497, 282, 563, 735, 1168, 174, 1790, 522, 548, 734, 1024, 188, 1346, 1040, 963, 1824, 459, 562, 1168, 259, 666, 1153, 336, 1104, 1316, 799, 993, 936, 1639, 1116, 727, 878, 1099, 666, 1082, 1421, 1035, 1034, 1211, 701, 929, 691, 885, 638, 1439, 1736, 30, 245, 576, 100, 1018, 1240, 370, 102, 282, 958, 1351, 179, 626, 1287, 573, 828, 1583, 1143, 1158, 1170, 1005, 913, 0, 773, 1716, 330, 1166, 890, 155, 125, 682, 93, 1272, 570, 1229, 380, 768, 1152, 979, 855, 1147, 604, 1173, 1068, 1519, 816, 887, 790, 172, 215, 127, 570, 393, 93, 239, 172, 142, 1047, 886, 164, 221, 1004, 604, 1483, 1718, 1098, 1038, 1359, 1079, 1092, 1814, 799, 1736, 1585, 1157, 1808, 1247, 1318, 333, 1173, 1733, 1178, 956, 1620, 333, 1331, 1252, 1795, 339, 813, 1823, 309, 260, 1690, 499, 798, 899, 382, 425, 1492, 993, 1391, 495, 1485, 1226, 362, 416, 1568, 1351, 1087, 1310, 1197, 483, 521, 1274, 602, 1254, 1359, 745, 1418, 356, 1351, 346, 517, 1365, 1241, 412, 158, 565, 660, 1524, 1074, 1035, 166, 865, 1552, 884, 1706, 371, 622, 443, 1355, 1713, 1240, 173, 433, 2, 483, 759, 1519, 1593, 1485, 371, 159, 270, 800, 1829, 1412, 717, 1303, 1101, 681, 1170, 1316, 1322, 1094, 1255, 1091, 1170, 1305, 822, 1495, 1637, 1036, 981, 938, 1128, 694, 399, 1290, 812, 715, 475, 1368, 212, 1308, 228, 794, 170, 1083, 858, 1806, 28, 1161, 374, 383, 146, 1632, 434, 1280, 1607, 385, 1501, 208, 461, 393, 100, 402, 1006, 1351, 1422, 1524, 581, 1797, 1430, 878, 1010, 1462, 1103, 700, 1140, 277, 106, 1498, 228, 840, 901, 1415, 1025, 759, 140, 1025, 319, 1809, 682, 324, 536, 100, 1156, 877, 966, 1630, 1715, 1089, 840, 32, 1203, 936, 1683, 1251, 128011, 128001 ]

[ 128000, 128002, 791, 3245, 430, 584, 2216, 3021, 922, 433, 374, 430, 433, 706, 11, 1093, 11, 459, 16940, 11, 1093, 11, 44517, 3185, 311, 433, 13, 128003, 128005, 1783, 208, 1344, 433, 49, 1369, 137, 1422, 1267, 232, 893, 67, 1407, 913, 330, 1029, 935, 1221, 983, 123, 2, 768, 104, 164, 13, 277, 841, 1809, 1088, 977, 1357, 1411, 1504, 1714, 811, 1792, 650, 1584, 372, 1497, 1516, 833, 1656, 745, 1170, 1416, 117, 1814, 739, 1247, 1444, 854, 1324, 338, 793, 693, 1696, 1282, 1006, 1687, 1227, 59, 1714, 1210, 776, 1292, 1726, 197, 609, 455, 1563, 232, 29, 356, 412, 143, 483, 657, 1516, 1261, 1483, 1436, 1097, 687, 346, 48, 1436, 382, 1766, 658, 1392, 895, 1113, 1014, 1653, 408, 1593, 1563, 1192, 1673, 642, 828, 483, 173, 13, 346, 309, 1047, 1718, 929, 1655, 790, 524, 125, 422, 302, 1685, 1367, 360, 1481, 1103, 860, 186, 402, 79, 565, 806, 794, 573, 565, 371, 1113, 522, 855, 1336, 1492, 1339, 135, 1141, 657, 100, 1237, 374, 49, 955, 1100, 1364, 1305, 1168, 1182, 1454, 711, 901, 836, 57, 1312, 788, 1139, 1688, 1342, 1747, 1703, 1031, 41, 376, 76, 205, 452, 299, 764, 537, 565, 695, 1344, 1182, 1199, 999, 1126, 1716, 1029, 1129, 547, 371, 966, 656, 1443, 1212, 1182, 1333, 1178, 461, 1196, 228, 393, 87, 162, 514, 181, 1435, 1661, 1241, 1718, 794, 1382, 1661, 1161, 639, 1468, 1468, 1803, 1720, 1758, 1504, 1651, 1277, 1661, 1437, 1227, 1720, 1223, 168, 1390, 981, 627, 561, 971, 785, 795, 627, 820, 692, 1348, 1474, 486, 933, 630, 538, 1043, 1051, 1714, 1260, 606, 1421, 693, 758, 1675, 48, 903, 352, 388, 358, 1402, 793, 929, 1629, 292, 864, 138, 277, 1392, 1334, 1054, 751, 947, 548, 866, 1316, 643, 1553, 1194, 1030, 1127, 880, 412, 764, 522, 874, 506, 1463, 543, 1059, 706, 1800, 282, 1389, 536, 329, 966, 55, 79, 162, 547, 644, 753, 1402, 1662, 1494, 1224, 29, 565, 234, 138, 83, 57, 573, 864, 349, 791, 847, 522, 1399, 346, 549, 184, 320, 934, 679, 773, 1391, 782, 1403, 1081, 1437, 773, 1648, 556, 910, 1812, 1355, 660, 1388, 741, 937, 1403, 1042, 796, 1042, 1379, 1036, 638, 1021, 1268, 457, 1292, 353, 487, 1668, 470, 1570, 1348, 681, 1538, 1023, 805, 1151, 905, 585, 301, 457, 19, 1259, 426, 948, 1622, 1666, 1456, 1431, 709, 1348, 1156, 747, 331, 1477, 482, 1234, 1143, 1794, 104, 205, 629, 383, 1216, 1459, 658, 644, 1732, 948, 1525, 595, 910, 1783, 604, 1141, 1674, 347, 1077, 875, 872, 1234, 1634, 1173, 1163, 664, 1475, 695, 1117, 1291, 1329, 1123, 686, 1188, 336, 1589, 1367, 950, 1082, 869, 1565, 1024, 624, 1528, 918, 624, 669, 676, 862, 1570, 939, 1419, 692, 727, 666, 460, 426, 867, 1722, 1283, 701, 1451, 962, 608, 1358, 907, 868, 76, 352, 1708, 370, 697, 1340, 371, 142, 1407, 300, 424, 849, 271, 893, 383, 908, 1430, 1216, 562, 1393, 1499, 1461, 1059, 396, 785, 773, 1720, 1, 1683, 1384, 1589, 1409, 486, 944, 90, 1437, 490, 705, 735, 1330, 1235, 693, 756, 1282, 1304, 759, 1361, 548, 1410, 1611, 765, 1370, 1033, 156, 165, 244, 244, 128011, 128001 ]

[ 128000, 128002, 12174, 11, 430, 574, 779, 16682, 13, 358, 3077, 34793, 311, 11, 358, 3077, 34793, 311, 1093, 279, 2539, 3245, 315, 430, 13, 1102, 596, 1120, 16682, 13, 358, 1541, 956, 1440, 13, 128003, 128005, 1163, 1500, 1318, 1295, 347, 1314, 1439, 1018, 1502, 903, 806, 1368, 780, 1002, 595, 665, 1022, 1261, 1058, 1393, 639, 1086, 346, 1041, 411, 1235, 1256, 1542, 1217, 1521, 719, 1332, 1431, 736, 1470, 1796, 239, 1758, 1636, 1278, 1707, 1642, 1512, 691, 585, 423, 651, 666, 555, 1348, 704, 301, 862, 704, 1142, 686, 712, 1007, 694, 680, 325, 766, 555, 1536, 712, 1007, 694, 1142, 1474, 766, 513, 1016, 584, 591, 1536, 799, 1293, 704, 513, 274, 584, 933, 325, 939, 1419, 704, 516, 862, 712, 799, 862, 680, 1419, 1601, 762, 1128, 1154, 1824, 841, 532, 1494, 1135, 79, 39, 514, 725, 498, 146, 83, 1374, 300, 550, 1554, 979, 737, 1491, 1235, 664, 228, 422, 205, 76, 997, 700, 1235, 1351, 665, 798, 107, 614, 13, 375, 1455, 1235, 759, 467, 113, 789, 1735, 884, 1567, 867, 1580, 852, 784, 1290, 867, 867, 1305, 607, 1235, 88, 725, 76, 1649, 587, 1268, 1789, 1475, 717, 795, 724, 712, 862, 712, 933, 1154, 470, 680, 1378, 1520, 1645, 917, 856, 1286, 1689, 881, 168, 316, 284, 674, 736, 330, 1081, 245, 170, 909, 277, 100, 152, 803, 270, 181, 170, 116, 55, 380, 49, 43, 703, 254, 700, 822, 1013, 774, 329, 339, 521, 339, 841, 637, 537, 79, 329, 550, 234, 346, 1357, 1631, 19, 1825, 790, 1429, 1794, 1337, 1200, 503, 137, 106, 127, 380, 1718, 22, 599, 1451, 599, 833, 1146, 371, 730, 302, 452, 1349, 543, 1030, 250, 231, 1011, 368, 874, 1756, 162, 361, 1336, 132, 560, 564, 110, 427, 529, 723, 1780, 1436, 1105, 642, 81, 364, 254, 181, 164, 326, 1366, 1226, 1011, 1088, 1097, 1521, 352, 1506, 243, 759, 500, 212, 112, 1350, 372, 1225, 493, 1082, 344, 1056, 1447, 329, 682, 648, 1366, 994, 1464, 10, 892, 1401, 170, 1487, 249, 1237, 545, 234, 282, 521, 125, 170, 783, 1691, 650, 486, 1074, 1486, 17, 1188, 1084, 1407, 642, 138, 236, 917, 1798, 1216, 1346, 117, 1495, 1777, 1349, 1305, 640, 1355, 1210, 297, 951, 664, 30, 571, 110, 47, 1066, 293, 1005, 1629, 1728, 1099, 1699, 788, 578, 636, 1393, 518, 816, 1031, 1651, 303, 1357, 689, 1500, 1008, 1680, 1212, 1187, 324, 1135, 816, 931, 1499, 1564, 1276, 1396, 1057, 19, 1689, 847, 518, 13, 181, 300, 497, 864, 537, 1119, 422, 665, 115, 1075, 170, 441, 254, 1066, 1700, 1125, 680, 1153, 1195, 566, 650, 1181, 1752, 1170, 799, 1036, 924, 1255, 872, 1033, 1225, 1074, 751, 1094, 1099, 1360, 383, 1010, 1024, 1012, 939, 849, 1028, 1658, 1094, 563, 724, 1322, 1109, 756, 775, 104, 96, 1008, 1633, 1565, 950, 1139, 1034, 640, 276, 1631, 335, 382, 1451, 96, 1034, 658, 946, 277, 430, 162, 877, 452, 1229, 1549, 375, 736, 202, 1342, 1496, 499, 1306, 1492, 829, 1812, 719, 828, 758, 1726, 735, 1494, 981, 1493, 1648, 970, 1478, 594, 1750, 405, 363, 378, 1049, 1052, 1648, 1222, 1093, 1421, 1605, 1403, 1690, 48, 605, 1168, 1636, 296, 1497, 648, 1139, 1445, 596, 1497, 57, 549, 1636, 96, 1160, 214, 236, 143, 940, 384, 679, 208, 277, 182, 152, 341, 1690, 604, 65, 877, 1178, 695, 1821, 467, 1163, 521, 1829, 1537, 560, 936, 1785, 1029, 717, 1092, 324, 1261, 638, 725, 1180, 1611, 978, 438, 1303, 139, 1128, 1227, 612, 1632, 627, 1142, 1205, 513, 1145, 661, 538, 1405, 939, 1419, 1707, 566, 1694, 578, 169, 1479, 950, 1262, 1760, 680, 1114, 691, 939, 957, 1293, 799, 1648, 696, 1007, 1648, 567, 957, 1255, 566, 1096, 1132, 1122, 547, 179, 125, 364, 88, 215, 521, 135, 1204, 321, 172, 590, 903, 522, 711, 536, 550, 116, 182, 790, 1787, 1161, 1680, 774, 270, 433, 520, 730, 1253, 1197, 1056, 215, 354, 1802, 827, 721, 636, 1171, 763, 1036, 638, 516, 1079, 538, 1293, 544, 516, 704, 676, 891, 666, 447, 928, 1589, 712, 1644, 301, 257, 1639, 630, 1284, 1033, 401, 1654, 566, 1338, 1284, 1385, 1145, 185, 165, 453, 244, 128011, 128001 ]

[ 128000, 128002, 40, 4691, 37373, 422, 568, 7020, 889, 358, 574, 1566, 3814, 13, 128003, 128005, 1498, 346, 186, 192, 146, 466, 181, 162, 610, 228, 300, 73, 100, 88, 687, 609, 1524, 581, 1310, 882, 794, 1773, 1018, 1040, 1781, 1175, 1211, 1322, 495, 1096, 1139, 1059, 1777, 400, 1787, 181, 985, 197, 245, 1827, 162, 1649, 380, 1755, 384, 318, 1013, 911, 1170, 1517, 1041, 9, 270, 579, 709, 284, 929, 445, 421, 1453, 940, 382, 1686, 276, 1412, 1607, 1018, 1396, 700, 940, 532, 380, 1342, 358, 1005, 211, 844, 644, 1593, 1492, 109, 1415, 783, 126, 63, 557, 1357, 1407, 1178, 352, 1630, 300, 411, 788, 697, 1767, 860, 974, 1670, 998, 1685, 424, 1635, 860, 518, 1826, 412, 105, 1588, 371, 291, 1796, 1160, 1751, 714, 0, 1711, 1325, 818, 1756, 777, 1753, 934, 1457, 907, 1078, 1232, 79, 1309, 969, 547, 1213, 860, 1303, 1788, 1018, 117, 1583, 943, 781, 1215, 1631, 1167, 1500, 626, 1807, 408, 1397, 825, 1256, 1277, 412, 924, 628, 901, 1289, 479, 1367, 1663, 104, 1328, 899, 1029, 1294, 1370, 1367, 1464, 608, 1065, 1713, 707, 1392, 1039, 1308, 881, 1015, 833, 1493, 454, 1144, 1494, 1073, 65, 755, 395, 471, 362, 1761, 1389, 599, 1468, 1308, 549, 940, 595, 320, 1382, 592, 863, 1342, 328, 1238, 1649, 753, 1509, 192, 909, 321, 1002, 1324, 1492, 1001, 1158, 1395, 1089, 1493, 1496, 1745, 933, 1130, 1324, 974, 1804, 1397, 674, 661, 1213, 624, 1628, 1380, 1144, 423, 301, 1176, 710, 923, 325, 585, 1380, 1244, 513, 1293, 686, 627, 325, 584, 923, 1244, 624, 1121, 1683, 1453, 1743, 1305, 1253, 1588, 1553, 1130, 1690, 1780, 1766, 1771, 1306, 639, 735, 1367, 1745, 1144, 1313, 1493, 378, 1393, 1138, 523, 1028, 1731, 490, 1776, 921, 601, 1333, 174, 924, 1301, 673, 1211, 900, 334, 967, 548, 964, 1268, 1648, 612, 165, 244, 244, 128011, 128001 ]

[ 128000, 128002, 1687, 2216, 527, 13, 2030, 430, 596, 1148, 11, 430, 596, 1057, 11, 499, 1440, 1148, 11, 17339, 11, 358, 2846, 16926, 1203, 709, 311, 264, 2697, 2766, 2555, 1093, 19662, 1618, 13, 128003, 128005, 724, 199, 1255, 1297, 792, 1320, 1378, 966, 388, 1013, 1431, 1517, 1408, 767, 349, 1087, 539, 162, 1253, 539, 577, 232, 1234, 593, 794, 595, 662, 170, 860, 158, 190, 408, 352, 51, 711, 816, 996, 1191, 13, 985, 79, 228, 48, 543, 537, 1708, 270, 1014, 1056, 1475, 412, 1324, 1224, 628, 1213, 973, 741, 1137, 1771, 1256, 717, 1680, 847, 1213, 1526, 1164, 316, 620, 964, 509, 933, 1819, 868, 128, 43, 961, 170, 53, 384, 271, 1614, 1797, 1683, 361, 65, 25, 1372, 1709, 1589, 1512, 422, 589, 324, 386, 524, 100, 186, 1381, 1651, 1429, 895, 292, 1519, 1382, 1126, 657, 1498, 95, 1175, 1106, 1570, 1621, 1542, 228, 475, 678, 100, 25, 700, 170, 1511, 1819, 1105, 1648, 1091, 26, 277, 705, 170, 412, 252, 192, 218, 764, 364, 642, 632, 218, 1492, 157, 352, 1581, 499, 1424, 1628, 1125, 469, 1164, 1223, 287, 1059, 1096, 1760, 1484, 984, 1490, 1420, 1076, 1373, 1211, 717, 1813, 1751, 1378, 1588, 1385, 1049, 1313, 1076, 1727, 929, 963, 751, 1038, 1384, 1308, 0, 1417, 745, 1311, 1164, 1170, 752, 999, 655, 1246, 1099, 40, 1425, 1121, 932, 1120, 1131, 1007, 924, 40, 387, 1185, 449, 820, 548, 939, 1244, 651, 862, 423, 651, 1359, 832, 1696, 434, 1783, 137, 1497, 208, 181, 1280, 1752, 170, 106, 239, 371, 215, 192, 637, 1240, 200, 994, 137, 140, 903, 170, 524, 110, 162, 560, 13, 186, 1086, 1175, 1177, 866, 1029, 1475, 1752, 1129, 1213, 1776, 1317, 1478, 1036, 967, 1430, 1216, 981, 1367, 1265, 679, 547, 491, 433, 39, 197, 895, 301, 1099, 558, 1372, 931, 39, 228, 376, 340, 81, 1680, 330, 757, 1139, 386, 1701, 309, 83, 678, 386, 363, 1345, 1749, 25, 1406, 228, 816, 39, 790, 1784, 1011, 1211, 41, 254, 115, 113, 65, 102, 768, 146, 79, 135, 1147, 719, 1098, 334, 1053, 926, 868, 370, 723, 759, 1077, 1236, 1090, 984, 578, 1714, 1571, 471, 1511, 557, 1409, 1259, 1801, 128, 429, 1782, 1278, 720, 1465, 1113, 1517, 1792, 1056, 1055, 1603, 1073, 252, 126, 1073, 571, 648, 1447, 836, 128, 741, 47, 1686, 1467, 1638, 547, 491, 1542, 800, 751, 1528, 1568, 1375, 335, 1528, 1743, 441, 475, 314, 999, 1435, 1804, 604, 248, 1584, 434, 1055, 1011, 1411, 490, 1256, 378, 1697, 1128, 1598, 788, 1183, 1801, 1412, 1517, 1654, 1146, 1033, 1806, 1158, 1743, 424, 1833, 164, 644, 330, 1123, 1694, 1116, 66, 1589, 1051, 381, 902, 259, 465, 1432, 1700, 24, 1498, 945, 833, 1313, 945, 1082, 1511, 382, 1291, 1672, 743, 651, 837, 1314, 1501, 93, 618, 191, 63, 55, 940, 461, 1258, 400, 1218, 1721, 1012, 845, 685, 1656, 644, 318, 1435, 711, 901, 1042, 270, 931, 996, 218, 730, 503, 521, 1801, 1730, 1276, 272, 1164, 1378, 933, 1282, 453, 165, 244, 244, 128011, 128001 ]

[ 128000, 128002, 6107, 11, 1664, 11, 323, 1518, 11, 430, 596, 1120, 433, 13, 578, 1648, 358, 1427, 520, 433, 374, 11, 584, 1051, 7060, 2085, 3280, 16609, 11, 499, 1440, 11, 1148, 11, 4848, 1667, 4227, 11, 4330, 1667, 4227, 11, 584, 3287, 956, 2216, 617, 1124, 430, 1790, 13, 128003, 128005, 1104, 1189, 1336, 1107, 109, 856, 1281, 1629, 1300, 665, 611, 575, 65, 407, 371, 475, 367, 212, 205, 380, 110, 79, 2, 125, 483, 113, 1407, 499, 1232, 901, 65, 1620, 1332, 794, 549, 806, 1030, 137, 847, 730, 243, 386, 374, 2, 441, 1113, 236, 67, 791, 779, 664, 1622, 1355, 1367, 718, 218, 721, 300, 642, 1275, 1180, 274, 670, 924, 266, 168, 630, 1373, 270, 25, 708, 254, 186, 1662, 430, 792, 768, 1677, 1645, 919, 404, 1580, 1217, 1720, 1264, 1304, 537, 1330, 502, 96, 697, 1301, 781, 852, 1393, 637, 364, 228, 467, 146, 236, 671, 1422, 1098, 1701, 570, 911, 639, 26, 582, 1710, 1718, 1806, 1739, 1419, 627, 785, 1782, 113, 1353, 170, 1047, 170, 664, 1296, 1331, 1623, 927, 1027, 1364, 592, 833, 434, 1434, 81, 894, 74, 522, 1492, 368, 178, 788, 1270, 1035, 888, 1040, 1218, 380, 658, 575, 87, 2, 577, 380, 757, 1773, 1171, 967, 999, 1268, 1322, 1098, 845, 1730, 1297, 1369, 479, 186, 690, 1566, 844, 1115, 51, 1087, 100, 146, 1330, 162, 170, 721, 346, 270, 218, 569, 422, 371, 330, 300, 93, 39, 221, 132, 218, 977, 647, 128, 951, 125, 100, 907, 1620, 1029, 724, 726, 1395, 579, 411, 324, 232, 791, 757, 83, 521, 1018, 780, 1075, 462, 113, 96, 1247, 225, 128, 595, 1322, 689, 1275, 1259, 1041, 1253, 100, 74, 289, 388, 892, 292, 1173, 1345, 1240, 1733, 927, 1287, 639, 1161, 1649, 1382, 1439, 1720, 1777, 1730, 1648, 1028, 516, 751, 885, 229, 676, 978, 681, 1812, 843, 564, 1391, 1312, 773, 269, 1596, 1342, 653, 1353, 1526, 1167, 756, 1097, 430, 95, 211, 39, 326, 1555, 872, 1405, 1088, 938, 1528, 755, 699, 107, 282, 958, 969, 441, 411, 695, 1161, 366, 1186, 514, 135, 1006, 65, 1792, 412, 1771, 192, 723, 536, 375, 1361, 1244, 1146, 1075, 855, 2, 43, 82, 102, 768, 245, 498, 532, 113, 621, 1350, 1253, 1289, 1057, 1329, 1035, 400, 1250, 767, 746, 1795, 985, 1389, 753, 596, 1520, 637, 1221, 1081, 1088, 1410, 1777, 985, 1794, 1415, 1253, 1365, 519, 1372, 1662, 1649, 1234, 1621, 1214, 1262, 1104, 1051, 1306, 1171, 1731, 664, 53, 1005, 300, 115, 1280, 595, 147, 730, 1212, 164, 359, 1795, 1029, 1815, 1342, 1027, 1528, 782, 701, 1646, 1256, 1344, 395, 738, 1088, 1638, 1056, 647, 1646, 1005, 1526, 639, 1332, 639, 1217, 1524, 519, 1018, 1781, 1238, 990, 1565, 1139, 701, 1631, 454, 1035, 821, 527, 1303, 1035, 1720, 1294, 677, 1096, 1660, 979, 397, 759, 1502, 528, 1256, 738, 434, 221, 1506, 370, 992, 1221, 1044, 1596, 1222, 29, 978, 376, 1211, 1123, 1479, 915, 31, 837, 967, 1816, 1167, 1602, 424, 1593, 642, 613, 903, 552, 324, 1106, 1407, 1143, 31, 1404, 1227, 643, 1361, 229, 670, 1306, 981, 919, 1393, 676, 1024, 1154, 766, 869, 651, 1244, 247, 516, 1151, 627, 582, 1039, 1383, 103, 1573, 640, 485, 1583, 889, 821, 1714, 1110, 825, 2, 104, 834, 549, 1433, 459, 1170, 1067, 512, 863, 1334, 746, 1130, 1506, 1002, 558, 1365, 945, 375, 312, 940, 297, 217, 138, 1004, 577, 1041, 1685, 889, 1651, 1069, 868, 1341, 330, 1012, 1453, 1400, 1493, 466, 157, 1206, 65, 609, 306, 65, 571, 524, 759, 1066, 775, 1075, 491, 1533, 102, 455, 774, 588, 872, 1215, 1078, 79, 506, 1139, 993, 1268, 454, 1109, 1665, 1238, 1275, 1746, 1742, 845, 821, 933, 823, 1104, 1179, 1102, 1264, 1129, 550, 613, 1404, 1029, 107, 462, 901, 1031, 727, 1370, 1093, 1526, 985, 1218, 985, 1429, 1330, 407, 1647, 1729, 1002, 1785, 993, 1699, 1715, 687, 575, 455, 1351, 1165, 1776, 1391, 952, 57, 506, 639, 808, 1818, 783, 1013, 993, 1801, 931, 607, 1084, 1292, 1671, 994, 751, 1498, 894, 1821, 1206, 518, 1396, 1259, 93, 803, 833, 349, 600, 938, 999, 1291, 1311, 1153, 571, 569, 1511, 300, 82, 1758, 711, 82, 1491, 1519, 1077, 898, 1404, 1170, 1787, 1272, 1357, 1094, 1279, 1775, 1286, 73, 998, 1282, 874, 215, 518, 1720, 1117, 642, 291, 1793, 872, 1251, 1717, 1827, 840, 1141, 880, 1086, 794, 236, 553, 983, 570, 1132, 1607, 1121, 950, 434, 1325, 356, 535, 1730, 318, 1367, 1430, 726, 1003, 454, 1305, 165, 165, 453, 244, 128011, 128001 ]

[ 128000, 128002, 1687, 649, 387, 7060, 2085, 1124, 1578, 13, 4702, 4984, 279, 70752, 2262, 439, 433, 596, 6004, 13, 1226, 3358, 2343, 369, 433, 13, 1472, 1440, 11, 358, 11, 358, 11, 358, 2846, 14931, 11, 358, 1120, 11, 358, 617, 264, 2763, 315, 4360, 12798, 400, 51464, 1919, 369, 264, 1847, 13, 128003, 128005, 838, 762, 1648, 1716, 1193, 1520, 916, 1509, 1606, 1421, 1696, 1192, 1723, 1604, 1079, 1626, 1815, 967, 1582, 1252, 1273, 1483, 1063, 1118, 1366, 1497, 1267, 1426, 1466, 1156, 292, 1607, 162, 67, 856, 631, 1212, 1650, 796, 1683, 788, 517, 1631, 375, 894, 682, 358, 716, 158, 759, 1750, 796, 796, 831, 1399, 1708, 540, 512, 945, 57, 104, 945, 276, 1342, 383, 898, 1662, 833, 1573, 980, 1651, 1119, 192, 162, 173, 433, 422, 370, 375, 299, 547, 36, 152, 205, 181, 358, 1427, 439, 412, 1818, 769, 1235, 575, 212, 467, 428, 1436, 1768, 1407, 359, 107, 270, 370, 270, 324, 271, 146, 370, 547, 725, 642, 600, 1751, 1188, 603, 719, 1222, 1127, 1029, 1620, 510, 1081, 1708, 715, 1193, 711, 282, 443, 1502, 1012, 171, 431, 1801, 1457, 104, 642, 43, 579, 573, 254, 537, 212, 1494, 535, 1032, 1411, 19, 727, 1074, 1357, 1652, 1098, 322, 1205, 1108, 643, 1116, 638, 976, 1098, 331, 1170, 1397, 1142, 1164, 396, 584, 685, 1627, 1241, 302, 79, 791, 1136, 577, 1344, 1653, 592, 1638, 767, 1031, 1745, 1110, 1068, 834, 234, 376, 243, 1073, 1075, 1366, 1378, 127, 1426, 1733, 1240, 1633, 1004, 245, 245, 1336, 135, 1497, 1175, 329, 983, 1663, 543, 1411, 1175, 454, 1786, 556, 344, 1687, 802, 896, 1635, 1278, 115, 564, 725, 914, 121, 297, 282, 411, 100, 1122, 138, 186, 718, 155, 208, 497, 182, 430, 1224, 225, 753, 687, 632, 575, 36, 286, 346, 492, 455, 428, 944, 690, 500, 1171, 941, 920, 1391, 443, 320, 757, 243, 610, 500, 1259, 1425, 1774, 1067, 1601, 499, 1517, 1150, 1030, 1002, 498, 777, 125, 142, 860, 452, 463, 841, 688, 1332, 1219, 1807, 1099, 1092, 383, 871, 302, 790, 366, 806, 252, 364, 178, 1074, 747, 1473, 1256, 538, 878, 1378, 516, 1031, 1455, 816, 1196, 347, 393, 614, 1261, 535, 665, 152, 291, 901, 1029, 1399, 320, 203, 1581, 1342, 1331, 1431, 794, 1166, 944, 629, 1698, 1611, 649, 1009, 1379, 1270, 296, 1793, 1110, 617, 637, 935, 51, 1087, 217, 631, 1298, 738, 1497, 965, 1748, 1303, 1794, 218, 182, 310, 979, 1313, 767, 282, 312, 1400, 947, 1127, 1468, 493, 495, 889, 1688, 1436, 1061, 1565, 1, 750, 1631, 527, 1343, 1228, 849, 1714, 833, 1116, 795, 1009, 1199, 820, 1128, 630, 1585, 696, 334, 1037, 470, 1279, 594, 1814, 732, 1803, 988, 1717, 354, 1575, 1113, 590, 1756, 1193, 1246, 1668, 77, 630, 924, 1622, 1298, 1275, 907, 549, 841, 282, 96, 931, 211, 200, 245, 1036, 853, 715, 1648, 1120, 1082, 1343, 1313, 996, 1140, 413, 529, 570, 816, 439, 13, 536, 1504, 947, 1065, 28, 335, 1427, 376, 245, 517, 1591, 753, 422, 217, 146, 113, 248, 1083, 872, 1333, 1465, 1101, 1070, 19, 1316, 805, 800, 1033, 1735, 1031, 751, 1259, 1197, 1501, 19, 1227, 265, 1064, 259, 1328, 1107, 1086, 270, 282, 757, 100, 1001, 521, 330, 1173, 1100, 1344, 537, 1119, 152, 371, 614, 100, 829, 790, 1053, 1174, 1252, 324, 164, 836, 43, 1237, 234, 790, 653, 1241, 1241, 485, 382, 865, 231, 1147, 76, 228, 874, 254, 146, 297, 254, 170, 1127, 321, 522, 1517, 1820, 300, 565, 789, 100, 43, 972, 137, 1649, 1798, 400, 254, 1308, 203, 245, 1439, 1270, 1018, 1737, 1370, 1688, 1037, 1215, 1360, 724, 820, 923, 933, 1011, 513, 1362, 799, 1010, 666, 301, 438, 899, 555, 1385, 584, 964, 1255, 316, 1505, 393, 660, 95, 135, 104, 730, 100, 1494, 1368, 543, 1680, 1053, 499, 1813, 349, 1111, 595, 140, 926, 146, 818, 1753, 1003, 1427, 1468, 106, 1645, 228, 1180, 234, 129, 718, 1069, 1660, 485, 1141, 439, 536, 1350, 637, 699, 55, 402, 723, 607, 208, 1192, 170, 1100, 298, 113, 600, 547, 346, 486, 832, 1012, 861, 128, 1257, 162, 201, 856, 789, 892, 245, 1459, 18, 172, 1439, 181, 1182, 1646, 96, 1313, 1690, 499, 593, 1078, 943, 719, 1258, 583, 1724, 1067, 643, 726, 1098, 1767, 1029, 1301, 1036, 1160, 600, 65, 858, 1113, 357, 1412, 741, 335, 1420, 687, 117, 1708, 882, 825, 1490, 1329, 1741, 767, 1018, 888, 884, 746, 901, 1083, 172, 1286, 17, 1230, 1803, 1687, 943, 1664, 1343, 669, 896, 434, 1716, 790, 1226, 807, 689, 1779, 1736, 330, 697, 125, 205, 248, 969, 697, 408, 725, 956, 547, 665, 1330, 128, 860, 48, 1345, 1314, 533, 382, 1822, 780, 878, 1225, 1074, 86, 1200, 1156, 1336, 860, 63, 214, 1078, 1438, 837, 857, 251, 999, 878, 1341, 1272, 926, 558, 1057, 860, 521, 1218, 528, 347, 730, 1686, 773, 1212, 730, 1622, 1094, 1682, 779, 1797, 1031, 272, 669, 1121, 89, 837, 516, 1228, 769, 1665, 185, 165, 453, 219, 128011, 128001 ]

[ 128000, 128002, 1966, 1948, 315, 10374, 2500, 11, 2019, 11, 1268, 1790, 374, 433, 30, 36498, 477, 17510, 30, 27219, 13, 27219, 30, 36539, 13, 128003, 128005, 902, 681, 929, 717, 762, 1479, 676, 1805, 274, 351, 1348, 9, 497, 92, 157, 173, 200, 243, 571, 152, 140, 825, 170, 1402, 234, 1241, 564, 596, 771, 1588, 1391, 1157, 1034, 581, 1088, 499, 1739, 1088, 1278, 364, 82, 1056, 170, 173, 983, 138, 723, 549, 25, 997, 658, 115, 1218, 1457, 1481, 1037, 1314, 1760, 1005, 1369, 560, 998, 682, 1247, 1220, 1674, 1160, 1671, 634, 581, 1741, 440, 347, 1699, 689, 724, 1822, 1044, 374, 300, 522, 806, 297, 371, 326, 0, 1436, 1049, 1009, 1389, 1353, 430, 657, 870, 1436, 1189, 1175, 1347, 1174, 570, 1271, 349, 1810, 1339, 1056, 1141, 467, 65, 642, 138, 764, 1650, 1546, 913, 29, 658, 626, 844, 1484, 1149, 346, 127, 182, 192, 503, 1743, 1041, 735, 1073, 843, 624, 1226, 470, 1556, 1499, 396, 1774, 1131, 1294, 58, 984, 1500, 1421, 612, 772, 674, 301, 1208, 832, 1144, 1455, 732, 1421, 1504, 1213, 1489, 259, 1118, 1486, 523, 1793, 655, 601, 1721, 651, 704, 465, 891, 1362, 585, 121, 862, 624, 633, 1694, 17, 778, 1168, 1383, 634, 1354, 919, 1770, 1256, 741, 618, 157, 520, 1002, 605, 1351, 100, 125, 1008, 605, 1391, 400, 514, 814, 726, 1187, 1478, 1101, 1301, 1036, 1324, 1414, 1089, 1187, 816, 370, 306, 579, 1129, 41, 764, 1435, 1462, 1355, 1357, 1136, 951, 931, 537, 589, 514, 882, 400, 1469, 65, 1275, 228, 937, 43, 1155, 1753, 1098, 1707, 232, 318, 1451, 364, 1780, 110, 1310, 1757, 6, 1492, 1335, 254, 574, 388, 1110, 1301, 1665, 1059, 1255, 1175, 1343, 640, 1297, 1055, 1753, 1169, 1069, 1778, 977, 205, 1487, 1100, 715, 1716, 530, 400, 913, 920, 305, 1799, 753, 570, 1663, 400, 648, 575, 1666, 1040, 832, 1206, 1803, 1733, 349, 1629, 1492, 1821, 1140, 1700, 1201, 1372, 868, 475, 629, 1776, 1230, 1187, 178, 1012, 1019, 631, 1309, 1608, 796, 1007, 399, 1050, 1390, 1573, 460, 1601, 964, 567, 1479, 1634, 1189, 1424, 555, 813, 1117, 223, 1150, 1206, 1205, 638, 1045, 842, 861, 905, 1279, 1137, 684, 812, 1683, 1829, 1028, 250, 1016, 578, 287, 1824, 1206, 225, 1828, 1395, 303, 583, 1823, 1088, 521, 439, 1817, 999, 1780, 218, 1212, 700, 315, 1742, 631, 318, 1490, 1791, 1164, 5, 821, 971, 900, 1208, 908, 1099, 1272, 252, 575, 1015, 1041, 1301, 1669, 1121, 633, 855, 1110, 358, 267, 719, 179, 1421, 1155, 570, 1154, 680, 1188, 1070, 1099, 1098, 1010, 156, 165, 453, 244, 128011, 128001 ]

[ 128000, 128002, 10031, 11, 358, 1541, 956, 1781, 779, 3582, 13, 358, 1781, 433, 596, 16926, 636, 11201, 13, 9393, 11, 1606, 499, 2351, 1314, 389, 279, 2144, 315, 864, 24747, 287, 3169, 315, 83222, 2785, 3201, 304, 3878, 315, 279, 11, 44844, 11, 279, 7528, 31572, 323, 6392, 1093, 430, 10671, 810, 9959, 13, 2030, 279, 2144, 430, 11, 577, 35401, 11, 128003, 128005, 1118, 1061, 1588, 307, 901, 1792, 1661, 1056, 1004, 502, 901, 1633, 599, 1424, 1241, 206, 1493, 775, 1372, 430, 43, 1102, 186, 1075, 157, 632, 1075, 140, 764, 1089, 239, 102, 1038, 179, 961, 405, 9, 1753, 987, 680, 984, 630, 435, 630, 724, 131, 1304, 1111, 384, 460, 537, 1701, 149, 879, 637, 1604, 371, 471, 1450, 430, 767, 28, 886, 84, 1814, 179, 475, 63, 100, 1155, 293, 1410, 1706, 483, 364, 352, 483, 1247, 236, 225, 1272, 589, 1799, 1714, 1803, 955, 446, 339, 104, 135, 839, 205, 640, 1525, 1074, 1422, 113, 966, 989, 581, 1698, 1240, 143, 123, 537, 1429, 1400, 1743, 1419, 372, 117, 1395, 948, 1421, 1088, 254, 617, 1457, 49, 987, 117, 110, 911, 427, 962, 1621, 1407, 499, 491, 547, 1005, 1264, 774, 1150, 1829, 1556, 1683, 1710, 965, 987, 838, 1432, 994, 568, 1817, 1167, 1406, 1679, 1435, 433, 1167, 2, 384, 441, 138, 1221, 76, 898, 214, 1089, 1505, 712, 1143, 1771, 400, 1098, 1057, 782, 1375, 1400, 454, 1451, 178, 788, 1496, 1082, 1215, 1364, 962, 1375, 1139, 750, 1104, 308, 1170, 1024, 1009, 676, 865, 1168, 696, 1134, 1385, 995, 650, 727, 1012, 19, 957, 948, 1185, 1665, 650, 486, 1050, 1154, 68, 431, 751, 1568, 1331, 952, 135, 1468, 143, 24, 1758, 719, 383, 1473, 493, 87, 1629, 170, 1335, 170, 825, 47, 822, 1772, 570, 1300, 1710, 687, 1795, 1303, 1532, 585, 1313, 666, 555, 1292, 792, 810, 1809, 1249, 1240, 96, 1444, 137, 1160, 1493, 1334, 924, 1719, 517, 1129, 800, 1180, 1755, 382, 868, 926, 422, 84, 87, 768, 1395, 43, 1312, 719, 1261, 1808, 375, 1636, 1300, 901, 1468, 493, 1166, 639, 493, 1382, 640, 28, 1760, 495, 1825, 1033, 1565, 1079, 1665, 1639, 627, 669, 378, 316, 837, 1373, 1791, 919, 1025, 1558, 1034, 1778, 162, 803, 146, 503, 47, 904, 1221, 671, 1698, 1289, 212, 580, 479, 100, 422, 621, 270, 321, 678, 243, 376, 1126, 1182, 697, 514, 422, 191, 983, 932, 231, 318, 810, 270, 497, 192, 498, 1716, 1802, 872, 820, 947, 1739, 248, 1443, 146, 370, 757, 162, 565, 588, 384, 1320, 891, 960, 1714, 1821, 1135, 703, 1272, 1224, 1233, 1116, 970, 795, 1154, 336, 1367, 1817, 1160, 1036, 1359, 947, 1404, 58, 9, 742, 768, 1542, 952, 452, 1019, 110, 1426, 1317, 599, 955, 472, 112, 536, 79, 388, 1042, 324, 1447, 1591, 1136, 536, 944, 1462, 1690, 102, 363, 522, 972, 1057, 874, 1408, 581, 1630, 979, 970, 1011, 1611, 1437, 463, 1803, 1797, 1204, 1089, 115, 621, 979, 299, 653, 685, 1100, 1792, 172, 757, 788, 1367, 336, 1064, 355, 1638, 1125, 965, 381, 1820, 590, 1163, 827, 629, 1379, 382, 814, 1028, 1170, 60, 1571, 797, 1083, 1439, 664, 1019, 1769, 497, 1406, 1005, 779, 1225, 1097, 5, 1034, 953, 1519, 1115, 1466, 477, 1776, 1044, 1729, 523, 1625, 513, 225, 1814, 291, 1795, 569, 1667, 446, 735, 179, 1418, 179, 1721, 324, 1007, 113, 1021, 1389, 599, 1043, 591, 1225, 845, 1036, 1012, 845, 1379, 1279, 1114, 993, 516, 1104, 1153, 513, 726, 1108, 1589, 993, 1092, 1050, 1130, 1071, 837, 717, 630, 1120, 1150, 1457, 782, 868, 162, 927, 1056, 858, 1787, 1075, 1410, 1249, 546, 522, 0, 517, 1385, 1324, 477, 657, 324, 1520, 1308, 868, 214, 892, 225, 1811, 347, 1123, 1259, 1351, 1444, 1596, 1160, 1535, 202, 1287, 782, 705, 1698, 1212, 860, 557, 1660, 339, 803, 1797, 1317, 1233, 1188, 1453, 1677, 1466, 1784, 0, 1556, 1792, 1104, 1311, 1543, 1130, 776, 1302, 1144, 1266, 1028, 437, 694, 1064, 91, 837, 900, 1009, 1263, 736, 517, 191, 1679, 605, 966, 1709, 296, 969, 1624, 517, 1069, 962, 595, 1715, 769, 1323, 802, 411, 1737, 764, 1373, 402, 1291, 364, 1304, 412, 1378, 422, 1316, 321, 1282, 934, 755, 1275, 412, 1172, 1032, 1455, 1089, 655, 1720, 1209, 1504, 1261, 916, 1632, 1154, 21, 1306, 803, 1139, 371, 557, 895, 924, 603, 930, 1496, 682, 1272, 318, 384, 553, 127, 383, 1716, 328, 499, 502, 371, 961, 1710, 1012, 1791, 13, 730, 112, 500, 1136, 234, 529, 997, 500, 1351, 664, 508, 1132, 158, 1374, 610, 1566, 1119, 853, 1729, 1209, 1595, 1795, 168, 1713, 1154, 601, 1465, 630, 1478, 281, 923, 1601, 692, 513, 1327, 121, 939, 869, 174, 501, 1412, 36, 112, 656, 383, 552, 1806, 1098, 601, 1153, 1317, 1185, 1147, 801, 1447, 1125, 813, 1461, 1064, 144, 885, 1684, 940, 105, 844, 522, 179, 374, 1005, 791, 321, 116, 1075, 1072, 1607, 759, 1493, 1533, 1426, 1312, 682, 1107, 892, 844, 711, 557, 341, 983, 1698, 512, 1199, 1747, 999, 1778, 1235, 1335, 917, 940, 1427, 1415, 1403, 1794, 527, 990, 1627, 1823, 985, 492, 488, 321, 536, 1516, 1113, 341, 759, 359, 1718, 726, 458, 1358, 777, 422, 2, 466, 138, 934, 954, 1050, 971, 1138, 993, 1129, 932, 689, 1211, 980, 1314, 1541, 991, 988, 878, 1212, 877, 1675, 773, 1263, 1219, 773, 1492, 1084, 849, 855, 1771, 934, 1234, 408, 449, 1812, 1079, 258, 1432, 1806, 883, 1314, 248, 1780, 186, 737, 847, 613, 639, 82, 1299, 1624, 411, 312, 1004, 1066, 79, 1173, 1605, 1649, 1347, 539, 104, 215, 706, 1056, 1310, 1833, 1136, 449, 1687, 1316, 336, 1316, 1065, 336, 650, 905, 976, 1125, 406, 1012, 1309, 933, 650, 1096, 1168, 1116, 727, 1094, 1079, 995, 650, 681, 1134, 1054, 1262, 993, 516, 1128, 1216, 171, 1279, 981, 555, 1428, 523, 301, 578, 1536, 384, 642, 539, 170, 1058, 520, 320, 1498, 1063, 1447, 1003, 1003, 1054, 1070, 1481, 1038, 336, 1067, 470, 981, 1316, 144, 869, 735, 601, 1016, 1248, 1118, 1273, 954, 1211, 1293, 555, 387, 676, 513, 672, 729, 1390, 1738, 1712, 371, 429, 433, 452, 1766, 1789, 499, 1752, 400, 999, 1039, 822, 1140, 1206, 25, 1124, 228, 1186, 170, 887, 300, 254, 664, 212, 550, 324, 790, 338, 1088, 1160, 1079, 1125, 1321, 1043, 1098, 31, 1067, 1638, 471, 782, 1114, 976, 1707, 513, 785, 933, 513, 694, 513, 1011, 766, 627, 1284, 712, 899, 1474, 555, 1293, 704, 1142, 426, 712, 1142, 686, 624, 1536, 704, 680, 325, 513, 1248, 620, 301, 1011, 704, 301, 1474, 986, 1248, 694, 555, 387, 1037, 776, 1153, 1384, 1768, 1104, 1350, 364, 491, 152, 162, 791, 393, 393, 370, 461, 159, 756, 271, 614, 346, 260, 483, 172, 1086, 535, 1171, 1308, 364, 1758, 1074, 1556, 1211, 1040, 334, 1099, 1067, 624, 1164, 229, 337, 661, 396, 1016, 377, 939, 274, 247, 795, 862, 406, 1536, 766, 1142, 325, 680, 805, 686, 513, 1293, 584, 585, 1793, 513, 692, 964, 1071, 1001, 547, 142, 125, 270, 215, 293, 271, 868, 579, 1173, 128, 142, 557, 1794, 800, 408, 1249, 947, 1196, 1722, 1029, 5, 944, 936, 1794, 1438, 1684, 1342, 1251, 28, 1781, 1285, 823, 1767, 1719, 852, 449, 649, 976, 1279, 1654, 219, 165, 453, 219, 128011, 128001 ]