[840,849,844,851,871,907,936,914,896,908,914,911,881,865,848,820,844,869,900,939,968,992,1027,1056,1084,1119,1150,1184,1229,1280,1332,1373,1429,1495,1559,1591,1560,1523,1495,1456,1414,1375,1332,1293,1253,1228,1165,1107,1050,998,971,956,943,925,924,923,916,920,921,917,920,924,921,938,953,921,913,931,943,959,993,1048,1078,1066,1041,1024,1041,1062,1059,1066,1055,1064,1083,1098,1087,1064,1054,1035,1017,1009,994,1030,1061,1087,1125,1164,1200,1216,1237,1275,1313,1366,1387,1367,1306,1240,1199,1144,1094,1044,1001,956,914,887,849,820,797,791,787,784,797,800,808,815,818,834,857,870,899,935,961,964,962,987,1004,1048,1095,1077,1128,1193,1207,1203,1205,1261,1311,1373,1432,1467,1468,1509,1558,1635,1749,1787,1730,1690,1624,1551,1527,1503,1488,1455,1415,1395,1379,1382,1400,1408,1421,1445,1497,1526,1543,1566,1605,1646,1696,1738,1765,1807,1831,1904,1912,1887,1814,1739,1671,1635,1603,1623,1647,1686,1728,1782,1842,1912,1947,1996,2019,1996,1978,1906,1829,1778,1715,1654,1602,1546,1482,1475,1483,1503,1492,1480,1404,1317,1271,1208,1137,1075,1051,1010,962,921,879,858,883,882,912,875,879,785,712,667,633,598,575,552,527,512,501,473,447,427,421,407,403,402,403,405,408,407,394,380,354,322,801,807,814,825,841,876,900,896,851,858,866,869,848,845,827,814,845,864,887,920,956,971,1001,1038,1064,1097,1138,1169,1214,1269,1326,1367,1424,1493,1561,1576,1549,1513,1486,1448,1403,1359,1319,1283,1243,1219,1144,1082,1034,988,957,940,929,935,933,924,925,927,927,928,932,931,935,955,969,944,908,908,912,930,958,996,1028,1028,1012,1005,1024,1041,1042,1045,1033,1050,1074,1089,1079,1048,1044,1028,1006,989,1005,1029,1061,1087,1136,1185,1203,1217,1236,1277,1319,1373,1378,1358,1300,1228,1187,1139,1089,1037,992,945,905,880,845,820,802,794,789,786,796,801,807,815,821,840,867,897,925,954,980,987,983,995,1015,1079,1117,1115,1110,1189,1231,1241,1247,1255,1288,1358,1420,1477,1508,1538,1590,1686,1844,1777,1714,1673,1612,1537,1513,1508,1484,1453,1418,1404,1392,1387,1403,1420,1429,1441,1490,1529,1547,1570,1609,1648,1698,1754,1813,1862,1913,1939,1932,1897,1815,1751,1691,1647,1629,1650,1676,1727,1763,1809,1866,1939,1970,1975,1957,1913,1910,1881,1818,1762,1680,1602,1571,1513,1452,1421,1431,1431,1413,1422,1347,1306,1265,1200,1128,1079,1048,1005,965,930,879,828,859,840,863,822,776,720,672,640,604,567,32768,527,502,485,476,457,432,414,409,400,397,398,400,403,404,400,391,379,349,323,773,783,793,803,825,852,869,856,831,819,827,828,817,812,801,819,856,885,922,952,981,1001,1024,1044,1067,1097,1136,1167,1217,1273,1328,1367,1422,1515,1578,1564,1543,1509,1481,1435,1388,1342,1303,1271,1236,1197,1132,1061,1014,978,948,935,944,941,932,928,932,937,934,942,942,943,948,970,992,961,943,930,921,912,920,957,974,994,985,988,1010,1009,1025,1030,1013,1047,1063,1077,1073,1047,1027,1010,983,993,1014,1042,1070,1100,1139,1178,1201,1219,1242,1289,1327,1379,1372,1341,1283,1216,1174,1129,1080,1027,983,938,899,874,843,817,801,796,790,787,799,801,807,817,825,851,879,920,953,969,989,990,1005,1003,1038,1119,1134,1148,1160,1194,1243,1267,1289,1310,1324,1354,1407,1467,1513,1571,1646,1716,1840,1772,1704,1652,1595,1530,1506,1517,1480,1451,1423,1410,1399,1393,1408,1427,1432,1440,1478,1520,1545,1573,1606,1641,1696,1753,1814,1863,1931,1963,1948,1908,1821,1748,1697,1652,1658,1679,1701,1751,1792,1847,1891,1959,1986,1935,1891,1875,1846,1825,1795,1750,1668,1597,1540,1478,1449,1383,1366,1368,1361,1328,1294,1254,1239,1170,1116,1072,1047,1003,958,940,912,802,765,772,775,703,708,670,636,602,580,549,522,507,483,461,451,441,420,403,399,396,395,395,399,399,396,393,392,380,350,330,755,764,785,786,801,826,835,818,810,792,794,796,790,787,782,819,878,896,936,968,998,1019,1042,1066,1082,1112,1148,1176,1220,1268,1322,1363,1422,1523,1585,1562,1535,1504,1472,1425,1373,1332,1294,1262,1227,1176,1115,1038,1001,968,946,953,952,940,940,933,938,946,945,948,952,956,966,990,1012,978,969,960,954,933,919,924,941,969,966,974,988,994,1009,1011,1018,1040,1049,1053,1062,1040,1015,985,985,1002,1016,1042,1061,1085,1129,1167,1195,1218,1252,1300,1342,1377,1361,1324,1263,1205,1165,1118,1068,1013,975,928,888,868,843,823,803,799,792,787,800,802,809,817,831,861,901,939,975,982,991,1001,1034,1023,1034,1121,1154,1193,1194,1193,1248,1285,1327,1357,1373,1400,1421,1471,1518,1580,1687,1804,1815,1750,1690,1655,1587,1522,1514,1525,1474,1457,1430,1415,1405,1399,1413,1435,1437,1441,1466,1513,1540,1569,1600,1634,1685,1742,1804,1852,1922,1968,1949,1896,1803,1754,1711,1672,1682,1703,1731,1770,1807,1866,1931,1980,1967,1908,1836,1825,1781,1797,1745,1709,1646,1566,1511,1457,1407,1375,1312,1282,1277,1268,1226,1193,1178,1147,1105,1071,1046,1011,972,961,936,888,756,666,631,605,590,603,599,571,32768,524,504,488,467,445,435,426,410,400,398,396,395,394,396,393,390,389,394,379,354,338,745,757,778,781,792,811,813,803,796,783,781,783,781,776,786,831,873,898,939,972,1001,1022,1045,1071,1090,1119,1154,1186,1232,1282,1328,1366,1427,1528,1584,1563,1529,1495,1465,1419,1367,1329,1292,1259,1217,1167,1101,1029,994,963,944,955,955,944,943,938,943,950,954,945,960,965,977,1007,1020,992,981,974,969,950,931,919,927,956,959,966,977,988,1001,994,1016,1036,1044,1045,1051,1028,1006,977,985,1001,1021,1037,1067,1091,1130,1161,1189,1213,1249,1304,1349,1375,1357,1314,1256,1198,1160,1112,1063,1009,972,924,886,865,842,818,806,801,794,789,799,804,809,816,833,867,914,949,987,984,992,1011,1053,1043,1034,1107,1155,1202,1214,1191,1240,1288,1339,1379,1397,1416,1445,1479,1522,1585,1672,1841,1811,1745,1692,1654,1582,1530,1524,1524,1471,1458,1433,1417,1408,1404,1417,1437,1438,1445,1461,1510,1536,1563,1595,1630,1679,1736,1803,1858,1927,1974,1938,1888,1797,1757,1714,1692,1699,1714,1747,1787,1823,1876,1943,1993,1946,1878,1823,1790,1753,1770,1719,1690,1613,1540,1499,1438,1389,1372,1318,1237,1246,1237,1198,1166,1156,1133,1098,1072,1043,1006,979,966,936,873,780,606,575,583,567,570,582,553,539,513,496,481,460,446,429,422,407,400,397,395,395,395,394,391,389,388,393,379,356,342,731,746,762,770,779,787,789,780,777,767,765,767,760,770,801,849,884,909,948,980,1005,1020,1042,1066,1081,1113,1158,1193,1244,1292,1343,1382,1442,1526,1573,1559,1522,1482,1451,1403,1353,1319,1281,1252,1200,1152,1073,1015,985,958,944,960,958,951,946,945,952,958,972,968,974,985,1001,1036,1031,1019,1011,1019,1018,991,965,922,919,931,949,955,966,977,979,993,1015,1024,1029,1024,1025,997,979,972,986,1005,1025,1044,1070,1092,1124,1152,1173,1202,1244,1314,1352,1373,1342,1300,1240,1188,1151,1099,1054,1004,963,916,881,863,837,817,810,804,799,792,799,805,811,818,836,876,929,967,1013,985,998,1041,1082,1094,1104,1089,1151,1201,1244,1224,1236,1284,1345,1407,1440,1449,1485,1506,1541,1595,1685,1869,1805,1746,1690,1647,1586,1557,1562,1518,1467,1457,1447,1421,1413,1412,1425,1443,1443,1448,1456,1496,1523,1554,1589,1620,1667,1726,1799,1858,1928,1981,1934,1859,1799,1760,1721,1720,1724,1731,1772,1810,1853,1914,1959,1928,1907,1830,1798,1735,1687,1695,1682,1626,1559,1502,1455,1419,1362,1323,1291,1206,1185,1175,1143,1125,1117,1104,1078,1065,1039,1010,991,970,952,932,805,734,617,530,525,535,545,518,513,493,478,466,445,430,421,412,405,400,399,397,399,400,398,398,397,388,390,378,363,350,717,739,748,758,763,769,768,761,762,754,753,753,752,779,816,855,891,917,953,977,997,1011,1032,1059,1081,1118,1157,1194,1241,1286,1339,1382,1459,1529,1570,1548,1519,1476,1436,1389,1337,1305,1271,1245,1177,1131,1054,1005,974,951,963,964,960,959,958,956,964,973,976,985,992,1011,1031,1054,1049,1045,1049,1062,1052,1039,1003,961,924,923,939,949,958,963,969,993,1012,1010,1010,1005,1003,979,970,970,994,1006,1027,1045,1068,1090,1111,1139,1155,1194,1249,1318,1362,1369,1331,1289,1226,1173,1138,1089,1045,992,950,907,874,851,829,821,813,806,810,799,798,805,811,821,841,890,935,978,1016,989,1017,1073,1120,1148,1125,1093,1155,1202,1258,1258,1244,1271,1326,1397,1443,1490,1517,1543,1570,1618,1709,1885,1826,1762,1727,1709,1648,1603,1557,1506,1470,1459,1451,1427,1422,1422,1436,1449,1447,1459,1475,1502,1525,1566,1600,1615,1656,1715,1792,1847,1929,1983,1929,1856,1799,1768,1749,1746,1744,1768,1798,1836,1882,1954,1963,1888,1842,1807,1729,1689,1634,1626,1620,1581,1513,1448,1429,1380,1347,1264,1208,1152,1119,1142,1099,1089,1084,1065,1048,1044,1026,1004,986,984,973,926,832,760,656,548,516,502,498,492,490,474,464,453,435,421,416,410,405,402,400,400,403,408,409,414,400,388,390,379,372,334,709,738,744,752,756,763,756,753,753,748,746,742,758,801,817,861,893,920,949,970,993,1006,1031,1060,1084,1120,1161,1193,1234,1281,1337,1382,1457,1530,1571,1543,1521,1472,1430,1385,1329,1295,1264,1238,1163,1115,1043,1001,970,959,968,966,960,963,964,961,970,987,981,993,1003,1026,1050,1064,1060,1060,1067,1097,1072,1064,1027,982,942,922,935,943,952,957,966,991,1008,1005,1003,997,991,970,967,972,997,1010,1026,1047,1066,1081,1104,1135,1155,1194,1250,1320,1363,1361,1324,1282,1224,1171,1133,1081,1037,986,941,901,870,845,832,824,814,809,809,799,798,805,815,822,843,890,937,982,1016,994,1033,1092,1137,1158,1135,1102,1158,1204,1264,1273,1265,1286,1319,1388,1437,1496,1535,1568,1588,1636,1710,1893,1831,1773,1756,1715,1665,1598,1554,1506,1472,1462,1450,1431,1428,1427,1439,1454,1450,1464,1481,1502,1527,1574,1599,1614,1653,1712,1790,1844,1926,1983,1925,1859,1807,1778,1768,1754,1765,1788,1815,1848,1885,1961,1931,1873,1814,1793,1715,1666,1608,1592,1576,1549,1491,1431,1402,1373,1339,1283,1208,1121,1090,1116,1076,1072,1063,1040,1020,1028,1018,989,960,980,977,938,822,742,629,554,527,495,486,481,478,466,451,444,431,420,415,410,405,405,403,402,407,411,422,416,402,388,389,380,371,320,701,727,735,741,743,746,739,739,735,740,726,737,774,809,838,851,876,899,935,967,990,1005,1027,1054,1079,1114,1154,1185,1235,1287,1340,1384,1457,1535,1566,1538,1513,1458,1423,1372,1317,1289,1250,1218,1139,1091,1027,991,966,975,974,970,971,972,976,977,987,999,997,1009,1028,1064,1079,1087,1096,1096,1112,1153,1130,1091,1076,1011,965,921,925,936,944,951,961,978,993,988,983,978,970,963,964,977,997,1007,1021,1039,1061,1076,1107,1139,1157,1193,1255,1316,1357,1345,1305,1266,1211,1166,1124,1072,1018,965,926,888,857,846,838,825,816,817,806,797,797,805,812,822,848,890,940,989,1017,1007,1062,1115,1168,1173,1167,1132,1162,1208,1270,1302,1312,1327,1340,1367,1426,1491,1551,1602,1631,1692,1754,1898,1826,1780,1741,1713,1662,1594,1550,1503,1474,1469,1457,1443,1437,1438,1445,1462,1470,1478,1489,1493,1507,1564,1598,1619,1647,1701,1787,1847,1922,1987,1926,1862,1816,1797,1789,1777,1807,1821,1847,1889,1912,1898,1845,1822,1784,1731,1688,1628,1563,1524,1501,1479,1449,1407,1357,1329,1300,1259,1185,1100,1023,1054,1042,1028,1005,973,966,970,974,930,900,898,871,814,763,718,649,584,533,485,479,469,461,452,441,436,427,419,415,411,406,410,407,408,413,425,427,417,400,389,385,379,347,304,693,715,727,731,731,730,728,727,728,717,723,765,801,830,848,870,897,919,941,964,982,999,1023,1050,1080,1120,1157,1190,1237,1285,1338,1383,1454,1531,1555,1531,1505,1450,1411,1356,1304,1275,1236,1192,1122,1064,1016,986,971,982,980,975,981,980,986,991,1012,1011,1017,1029,1057,1093,1113,1112,1127,1133,1157,1195,1151,1155,1086,1020,982,933,924,927,938,944,958,978,975,968,961,959,959,961,963,979,992,1004,1022,1044,1064,1082,1101,1119,1150,1198,1255,1313,1360,1336,1284,1248,1196,1148,1108,1052,996,945,913,880,858,855,846,823,820,819,807,796,797,805,806,828,859,897,952,1000,1019,1023,1097,1144,1187,1195,1212,1158,1169,1218,1273,1322,1348,1363,1382,1424,1422,1480,1548,1609,1656,1762,1868,1894,1821,1764,1722,1700,1648,1583,1543,1497,1478,1473,1463,1444,1441,1442,1452,1475,1490,1495,1506,1502,1521,1562,1602,1625,1660,1699,1773,1852,1935,1997,1948,1867,1830,1811,1789,1823,1834,1862,1880,1855,1847,1844,1804,1758,1747,1675,1633,1605,1533,1473,1449,1414,1413,1362,1336,1261,1246,1237,1169,1050,978,1014,1003,987,957,912,915,930,927,892,856,852,804,778,736,697,644,597,548,473,470,464,458,448,439,433,427,420,415,411,409,412,416,422,428,428,426,420,403,390,355,356,333,306,687,703,720,723,721,718,718,717,719,707,730,768,810,836,850,870,894,903,931,957,985,999,1025,1052,1076,1110,1150,1182,1231,1279,1332,1377,1454,1526,1550,1525,1488,1443,1397,1340,1288,1261,1224,1166,1093,1047,1007,991,977,983,988,982,988,992,998,1007,1030,1026,1032,1058,1093,1121,1140,1140,1162,1174,1208,1238,1198,1165,1091,1033,994,955,924,926,934,939,946,968,952,948,950,954,956,958,967,980,992,1000,1016,1036,1057,1075,1089,1125,1154,1200,1259,1322,1361,1320,1263,1223,1171,1123,1078,1029,975,929,903,872,866,872,843,829,822,815,805,797,797,800,805,840,865,907,970,1024,1024,1051,1123,1160,1201,1220,1239,1172,1203,1221,1264,1318,1373,1395,1414,1461,1477,1499,1541,1609,1662,1778,1937,1889,1817,1753,1714,1687,1635,1572,1533,1496,1480,1475,1455,1447,1447,1445,1461,1486,1495,1496,1507,1529,1553,1582,1601,1623,1666,1714,1766,1844,1920,1999,1939,1882,1845,1826,1827,1856,1880,1868,1821,1789,1784,1773,1754,1707,1706,1646,1572,1550,1505,1436,1386,1352,1357,1314,1291,1225,1177,1180,1137,1024,939,960,950,934,911,857,884,899,904,878,815,795,759,739,708,669,625,583,550,477,461,457,452,446,438,432,425,419,415,411,410,421,427,431,431,428,427,424,402,376,316,338,326,304,677,700,717,720,718,715,712,712,705,711,737,782,800,825,840,861,882,908,938,965,986,1001,1024,1050,1078,1113,1149,1176,1229,1273,1327,1374,1454,1521,1548,1522,1484,1439,1392,1331,1282,1252,1218,1159,1081,1039,1007,991,973,989,992,985,991,998,1004,1014,1036,1034,1039,1073,1108,1139,1155,1155,1180,1198,1236,1248,1220,1165,1098,1038,999,962,931,927,933,937,939,951,943,945,949,951,953,963,970,980,990,999,1015,1032,1053,1067,1089,1132,1157,1204,1266,1332,1361,1310,1249,1210,1162,1107,1066,1018,967,924,899,876,871,874,844,832,822,815,804,797,798,800,809,845,868,913,977,1030,1028,1064,1134,1171,1208,1233,1253,1178,1214,1241,1263,1317,1382,1410,1438,1470,1500,1523,1551,1609,1659,1774,1941,1888,1815,1748,1710,1680,1626,1564,1530,1497,1482,1476,1454,1448,1450,1447,1463,1491,1502,1499,1506,1530,1559,1585,1605,1624,1666,1713,1777,1845,1920,2004,1944,1892,1855,1837,1861,1872,1881,1855,1794,1760,1754,1746,1725,1686,1680,1626,1562,1514,1482,1427,1357,1329,1322,1304,1260,1189,1156,1159,1121,1032,930,923,915,916,875,837,869,889,901,876,814,760,748,712,688,658,611,573,541,480,456,452,449,443,437,431,424,418,415,411,415,427,431,433,433,431,431,422,400,374,313,330,311,303,664,692,711,713,711,694,693,686,692,724,758,793,818,839,853,874,893,912,935,963,982,995,1020,1042,1058,1089,1136,1179,1226,1274,1328,1376,1455,1522,1546,1525,1481,1438,1385,1324,1281,1244,1208,1140,1063,1028,1006,985,973,998,1001,999,1004,1004,1014,1029,1048,1054,1069,1096,1139,1171,1182,1189,1219,1253,1295,1283,1227,1176,1112,1050,1010,962,954,925,928,931,934,936,939,944,947,953,962,971,980,994,998,1000,1016,1031,1052,1068,1096,1138,1167,1221,1285,1346,1345,1294,1234,1188,1138,1085,1048,1000,954,918,895,885,891,870,848,834,822,814,801,797,798,801,817,847,872,922,989,1038,1049,1093,1158,1195,1225,1260,1271,1195,1228,1267,1296,1338,1399,1444,1483,1496,1522,1566,1584,1636,1678,1782,1944,1884,1811,1741,1678,1645,1594,1551,1526,1505,1490,1484,1455,1450,1452,1451,1474,1512,1520,1507,1519,1540,1565,1595,1614,1637,1669,1721,1825,1870,1938,2016,1956,1914,1883,1873,1905,1888,1832,1795,1750,1708,1692,1696,1671,1641,1616,1608,1541,1481,1425,1385,1332,1284,1266,1249,1212,1128,1110,1112,1092,1000,903,851,870,861,823,803,861,882,883,863,822,730,690,666,654,628,585,545,516,466,448,444,442,437,433,429,423,418,415,413,425,434,433,437,440,441,435,410,392,362,327,308,304,32768,629,676,701,706,688,679,667,693,713,755,776,797,821,841,856,872,889,906,928,952,968,990,1000,1026,1057,1105,1156,1195,1244,1283,1336,1383,1454,1516,1547,1520,1482,1430,1370,1315,1272,1233,1184,1111,1050,1025,1008,981,994,1007,1007,1011,1018,1014,1030,1047,1060,1069,1092,1126,1172,1198,1209,1230,1260,1299,1337,1321,1227,1177,1115,1059,1021,981,972,943,928,932,935,939,945,951,957,967,973,980,988,1000,1008,1011,1018,1035,1059,1083,1108,1146,1181,1239,1309,1351,1330,1281,1223,1180,1122,1068,1033,989,947,918,899,893,900,876,852,839,825,810,800,798,799,805,827,858,880,932,1002,1056,1065,1118,1182,1224,1247,1293,1282,1232,1225,1264,1314,1366,1423,1465,1527,1535,1553,1596,1630,1665,1709,1810,1940,1880,1811,1740,1664,1616,1572,1542,1527,1505,1496,1484,1462,1453,1455,1460,1494,1536,1556,1522,1536,1561,1571,1610,1638,1662,1691,1738,1853,1918,1965,2023,1990,1956,1917,1950,1926,1854,1787,1748,1711,1662,1637,1639,1611,1597,1551,1553,1499,1458,1395,1336,1309,1266,1200,1185,1164,1094,1063,1070,1051,993,883,824,792,796,743,788,818,841,854,836,730,708,644,639,616,595,560,519,492,455,440,437,436,432,429,426,423,418,415,416,426,427,432,443,448,443,420,399,371,339,319,303,303,32768,624,654,682,697,674,659,674,713,741,764,779,797,817,838,853,867,882,895,906,927,957,962,994,1028,1066,1120,1171,1212,1242,1281,1319,1360,1436,1499,1544,1513,1485,1419,1359,1309,1265,1227,1163,1094,1045,1029,1002,997,1012,1019,1017,1026,1030,1026,1047,1058,1068,1090,1119,1155,1198,1224,1234,1272,1317,1341,1360,1295,1214,1164,1108,1058,1025,998,997,959,928,935,939,945,952,959,972,986,993,989,1002,1010,1021,1024,1028,1041,1067,1093,1132,1163,1192,1258,1326,1321,1300,1264,1209,1162,1106,1057,1022,978,946,915,910,908,896,875,858,849,825,810,801,799,800,810,835,861,887,943,1021,1074,1091,1145,1212,1249,1271,1321,1310,1279,1255,1256,1315,1379,1441,1490,1558,1583,1598,1623,1670,1695,1773,1840,1940,1877,1804,1733,1654,1607,1556,1536,1532,1503,1490,1481,1465,1458,1463,1472,1511,1553,1587,1551,1561,1588,1605,1632,1665,1690,1718,1766,1868,1918,2010,2046,2007,1968,1981,1971,1913,1832,1762,1715,1663,1643,1595,1589,1574,1549,1513,1495,1465,1408,1355,1301,1257,1252,1195,1117,1094,1066,1013,1019,996,966,881,835,790,701,705,757,732,726,700,689,670,654,605,610,576,564,531,497,470,438,432,430,430,427,426,427,423,419,417,418,421,427,433,442,437,429,404,381,343,327,307,305,303,308,626,644,670,691,668,652,687,717,745,763,777,796,815,835,849,862,870,880,894,917,941,962,991,1031,1070,1120,1171,1212,1236,1268,1306,1346,1417,1489,1536,1513,1483,1412,1354,1306,1258,1220,1155,1086,1043,1028,1001,1006,1017,1026,1025,1032,1032,1031,1055,1065,1073,1102,1132,1168,1209,1234,1246,1290,1341,1359,1369,1291,1212,1164,1108,1059,1030,1012,1008,965,930,932,939,950,962,964,975,996,1003,994,1005,1016,1025,1032,1033,1047,1065,1094,1137,1172,1203,1265,1332,1306,1280,1247,1200,1153,1098,1052,1018,980,947,919,915,914,897,877,869,855,823,807,801,799,801,812,837,868,893,949,1028,1081,1102,1156,1225,1265,1286,1335,1328,1298,1269,1270,1309,1379,1442,1492,1558,1607,1623,1646,1685,1719,1781,1878,1940,1875,1803,1730,1650,1605,1547,1534,1534,1505,1488,1479,1466,1462,1469,1478,1517,1560,1596,1567,1577,1604,1621,1644,1682,1703,1735,1793,1869,1919,2009,2024,1979,1941,1948,1954,1903,1826,1762,1708,1642,1618,1587,1562,1547,1522,1492,1464,1447,1396,1330,1283,1229,1224,1178,1105,1061,1045,991,993,970,942,896,847,797,701,693,726,692,679,671,662,645,635,588,595,558,547,517,486,459,429,428,427,426,425,425,429,424,425,422,418,421,428,441,442,432,416,395,368,335,315,306,305,304,306,628,630,663,689,670,651,692,721,745,760,772,790,807,825,839,832,846,873,904,928,954,971,995,1031,1062,1113,1165,1194,1218,1238,1282,1324,1390,1469,1513,1513,1480,1399,1345,1296,1242,1202,1135,1076,1043,1032,1001,1013,1026,1037,1042,1049,1052,1048,1063,1077,1083,1125,1152,1195,1231,1254,1273,1331,1376,1379,1374,1281,1208,1164,1107,1064,1035,1033,1022,971,934,933,943,956,984,987,981,1010,1023,1007,1015,1035,1038,1045,1051,1066,1077,1095,1139,1183,1218,1287,1342,1290,1247,1205,1171,1133,1081,1035,1007,974,942,941,943,916,897,887,888,863,822,804,802,801,802,815,840,880,908,963,1037,1095,1129,1195,1253,1283,1314,1363,1369,1330,1296,1302,1304,1368,1430,1480,1545,1609,1644,1681,1720,1788,1811,1939,1936,1876,1801,1712,1646,1601,1544,1544,1537,1511,1490,1483,1474,1474,1481,1489,1524,1573,1608,1604,1614,1635,1654,1674,1711,1742,1777,1857,1910,1948,2021,1977,1933,1884,1885,1897,1845,1818,1746,1688,1618,1559,1531,1489,1482,1453,1448,1398,1396,1363,1303,1250,1192,1166,1145,1084,1023,986,978,937,922,879,845,813,697,630,674,666,637,629,623,616,600,595,557,560,534,514,494,467,436,420,419,421,421,422,430,432,431,434,424,417,425,434,437,436,412,395,370,338,312,302,32768,32768,306,303,639,622,664,688,645,655,695,718,738,752,763,780,797,808,808,820,863,877,903,931,963,979,1006,1041,1069,1114,1149,1170,1186,1215,1271,1312,1356,1428,1498,1512,1469,1380,1339,1289,1231,1183,1116,1072,1049,1041,1007,1029,1035,1047,1054,1068,1059,1067,1066,1089,1104,1145,1176,1224,1254,1282,1307,1362,1397,1400,1353,1265,1199,1159,1109,1069,1049,1056,1024,973,935,932,945,962,992,1012,1004,1009,1034,1022,1027,1044,1055,1057,1074,1073,1093,1113,1159,1194,1237,1311,1333,1282,1245,1188,1127,1109,1059,1016,986,963,973,967,949,920,911,905,907,861,825,805,803,803,803,814,862,892,921,977,1047,1111,1161,1230,1266,1294,1334,1387,1395,1342,1316,1331,1347,1352,1415,1469,1533,1584,1616,1662,1711,1813,1847,1937,1936,1874,1772,1704,1647,1596,1564,1557,1537,1515,1498,1490,1483,1486,1486,1498,1535,1583,1625,1645,1652,1669,1686,1708,1757,1783,1831,1886,1968,1994,1984,1943,1892,1833,1828,1832,1788,1762,1740,1670,1599,1521,1467,1410,1407,1408,1399,1354,1336,1327,1264,1205,1158,1109,1096,1065,1029,948,921,869,856,827,773,752,658,616,641,601,596,586,580,574,560,556,540,529,509,487,471,441,414,412,412,414,416,430,437,435,436,428,419,417,424,427,426,412,383,363,338,322,302,32768,301,306,304,302,628,629,663,681,625,660,699,714,733,745,752,765,774,783,803,838,856,875,904,939,971,984,1010,1039,1064,1099,1120,1140,1135,1203,1254,1281,1330,1400,1464,1513,1450,1365,1331,1280,1225,1168,1101,1071,1052,1040,1009,1036,1044,1062,1066,1083,1075,1085,1084,1107,1127,1171,1203,1248,1278,1313,1339,1400,1418,1420,1331,1258,1196,1159,1116,1080,1069,1078,1021,969,934,935,948,970,992,1026,1031,1020,1042,1041,1036,1056,1067,1073,1085,1094,1111,1142,1168,1222,1270,1332,1326,1271,1228,1171,1110,1074,1046,1002,985,998,991,969,944,926,936,921,894,848,820,806,804,804,804,816,868,900,931,994,1057,1122,1195,1245,1289,1309,1358,1405,1406,1358,1336,1353,1381,1395,1406,1450,1508,1555,1593,1642,1696,1774,1827,1969,1936,1872,1766,1713,1648,1614,1611,1561,1541,1519,1503,1499,1490,1492,1492,1510,1548,1592,1635,1680,1695,1714,1724,1748,1795,1826,1869,1914,1998,1982,1934,1898,1853,1790,1770,1771,1737,1690,1672,1657,1579,1504,1442,1366,1335,1321,1337,1315,1274,1260,1209,1158,1120,1083,1040,1024,1011,912,839,832,800,785,714,644,583,589,538,532,561,546,543,534,525,521,518,503,489,472,445,421,405,405,406,409,415,438,437,436,424,416,412,415,415,412,404,386,361,332,317,304,32768,32768,302,305,302,304,626,630,662,675,621,669,693,711,729,737,744,754,765,788,814,835,856,876,906,941,970,982,1007,1034,1056,1087,1103,1123,1111,1191,1243,1266,1319,1387,1450,1508,1441,1363,1326,1275,1217,1160,1097,1068,1053,1040,1012,1040,1055,1070,1076,1088,1089,1090,1096,1115,1138,1185,1219,1261,1293,1334,1358,1418,1425,1418,1328,1255,1197,1160,1117,1084,1081,1073,1020,966,935,935,950,970,997,1027,1040,1034,1048,1050,1041,1063,1075,1080,1090,1111,1126,1155,1182,1242,1289,1339,1323,1265,1223,1155,1097,1066,1033,998,1001,1019,999,969,951,935,942,926,883,840,816,806,805,805,805,824,866,904,937,1001,1063,1126,1211,1249,1300,1317,1369,1411,1407,1361,1344,1360,1390,1416,1424,1453,1509,1557,1594,1642,1694,1766,1822,1961,1932,1865,1770,1723,1656,1643,1610,1559,1539,1526,1506,1504,1494,1491,1494,1516,1553,1599,1639,1688,1721,1751,1745,1767,1815,1849,1896,1930,1994,1956,1909,1877,1831,1770,1740,1737,1707,1667,1641,1632,1553,1485,1437,1359,1308,1287,1300,1295,1248,1231,1189,1132,1096,1065,1022,997,1000,899,792,807,775,780,684,640,579,543,522,515,543,531,527,515,508,506,504,487,481,464,437,415,401,402,402,406,411,428,435,434,415,412,409,410,408,401,391,374,353,322,311,302,32768,32768,302,303,302,305,622,621,662,651,623,641,657,686,713,721,736,755,778,799,812,835,857,876,909,937,960,973,995,1018,1036,1055,1067,1083,1074,1163,1208,1250,1307,1374,1440,1498,1424,1359,1313,1270,1189,1141,1086,1064,1046,1029,1039,1062,1063,1080,1095,1101,1108,1098,1113,1126,1157,1210,1245,1285,1323,1383,1405,1436,1437,1413,1327,1254,1195,1155,1117,1101,1106,1059,1008,962,939,938,955,969,1002,1025,1047,1067,1072,1068,1052,1076,1093,1105,1116,1128,1158,1175,1213,1275,1305,1349,1312,1247,1198,1138,1069,1037,1029,1029,1036,1047,1006,983,958,936,921,910,872,825,807,807,806,806,812,831,865,910,947,1011,1073,1134,1239,1258,1305,1340,1385,1417,1393,1356,1346,1383,1409,1441,1468,1481,1521,1577,1614,1661,1712,1778,1826,1925,1940,1870,1792,1736,1717,1671,1605,1560,1539,1533,1504,1499,1496,1495,1510,1527,1562,1610,1651,1707,1766,1798,1793,1816,1856,1886,1929,1974,1944,1906,1860,1863,1794,1739,1687,1685,1674,1622,1581,1557,1532,1460,1404,1333,1270,1221,1233,1245,1208,1182,1139,1101,1043,1020,955,950,961,882,796,715,707,703,662,613,584,542,510,489,506,499,497,484,480,477,475,466,462,451,425,401,395,396,399,410,411,410,414,409,405,400,398,397,392,380,370,356,322,307,302,32768,32768,32768,304,303,303,304,644,602,647,615,634,678,686,692,701,725,743,764,783,801,816,836,858,877,909,935,951,959,977,1001,1017,1012,1030,1032,1055,1136,1207,1249,1294,1361,1427,1484,1411,1352,1310,1259,1169,1111,1073,1049,1036,1034,1066,1068,1075,1089,1108,1115,1112,1113,1118,1130,1174,1227,1264,1300,1352,1418,1440,1460,1455,1405,1319,1245,1187,1153,1124,1121,1117,1055,1004,957,941,943,961,971,992,1015,1038,1074,1091,1076,1066,1089,1109,1127,1140,1153,1182,1204,1245,1288,1317,1355,1292,1226,1178,1107,1070,1073,1073,1074,1074,1041,1008,983,959,926,890,876,843,810,808,808,808,808,816,836,869,921,959,1024,1085,1142,1249,1272,1311,1351,1385,1401,1368,1326,1321,1372,1418,1459,1494,1524,1546,1574,1611,1663,1712,1780,1829,1919,1936,1871,1803,1765,1720,1670,1608,1566,1546,1537,1511,1501,1505,1516,1533,1547,1580,1635,1679,1734,1798,1846,1847,1876,1897,1927,1972,1965,1892,1844,1817,1835,1789,1706,1627,1629,1630,1598,1539,1499,1458,1409,1375,1302,1225,1153,1166,1196,1178,1141,1101,1048,1006,956,916,892,890,831,785,678,652,646,609,583,546,514,490,474,470,467,467,464,460,460,457,446,445,433,401,389,388,388,403,417,404,426,406,400,397,394,391,388,383,370,352,322,305,301,32768,32768,32768,32768,304,304,304,304,651,600,617,607,642,677,684,692,705,727,743,766,785,803,817,837,858,878,909,933,947,953,973,992,999,993,1002,999,1058,1135,1200,1237,1288,1362,1430,1477,1405,1345,1307,1242,1158,1101,1067,1043,1053,1049,1075,1073,1084,1096,1110,1120,1118,1123,1123,1136,1183,1234,1272,1308,1368,1434,1454,1473,1454,1393,1310,1237,1179,1146,1124,1110,1108,1055,1003,957,941,948,966,973,988,1009,1032,1066,1092,1082,1072,1097,1116,1133,1152,1166,1194,1220,1263,1300,1325,1355,1288,1217,1170,1105,1087,1096,1098,1094,1080,1037,1003,978,953,919,878,861,830,809,809,809,808,809,817,840,873,926,967,1030,1093,1150,1256,1283,1319,1353,1386,1387,1353,1304,1311,1364,1413,1465,1505,1533,1563,1590,1615,1665,1715,1782,1831,1916,1936,1876,1808,1764,1718,1670,1609,1571,1551,1541,1519,1511,1508,1528,1542,1557,1587,1636,1683,1745,1804,1865,1877,1921,1948,1960,1962,1933,1881,1811,1790,1802,1797,1697,1593,1598,1586,1597,1518,1480,1425,1382,1346,1270,1207,1140,1137,1177,1163,1125,1094,1018,980,929,900,860,855,808,761,696,612,630,585,567,527,501,478,467,454,450,452,452,452,450,445,437,438,422,387,383,385,391,409,415,407,429,401,398,393,392,390,386,379,369,342,313,302,302,32768,32768,32768,32768,303,301,305,303,660,597,609,639,669,673,680,688,707,731,748,767,786,804,819,839,860,877,906,924,933,941,953,964,962,965,948,969,1077,1142,1200,1240,1294,1367,1434,1463,1390,1327,1269,1185,1125,1086,1057,1043,1063,1075,1089,1094,1095,1107,1118,1128,1128,1130,1136,1156,1212,1254,1288,1325,1405,1458,1480,1482,1420,1352,1283,1216,1159,1124,1101,1072,1076,1043,996,954,941,948,972,990,992,1009,1025,1053,1088,1089,1086,1114,1135,1145,1154,1184,1222,1251,1291,1326,1348,1349,1276,1210,1160,1118,1137,1151,1128,1100,1074,1038,996,958,946,910,869,845,824,811,810,810,809,818,826,846,884,938,983,1043,1106,1193,1264,1297,1333,1362,1380,1353,1315,1289,1312,1351,1405,1473,1524,1551,1587,1621,1643,1675,1724,1791,1839,1926,1938,1877,1800,1755,1716,1666,1615,1580,1562,1547,1534,1524,1523,1535,1557,1572,1601,1643,1689,1758,1827,1889,1929,1980,1974,1949,1927,1869,1819,1750,1739,1742,1761,1719,1603,1517,1521,1514,1530,1475,1395,1323,1284,1224,1179,1117,1094,1121,1118,1103,1040,976,901,861,840,794,794,769,749,673,598,548,541,527,500,475,459,449,443,428,426,431,432,432,426,421,420,395,374,377,379,395,403,394,420,400,393,389,389,395,400,403,384,345,319,305,301,302,32768,32768,32768,303,302,303,305,303,660,598,620,646,666,669,674,689,710,734,750,766,786,805,819,839,858,873,901,914,918,924,916,927,922,912,948,989,1074,1134,1205,1250,1303,1384,1452,1447,1384,1328,1257,1161,1113,1085,1054,1063,1070,1088,1103,1109,1109,1120,1130,1137,1138,1134,1146,1172,1234,1279,1301,1342,1421,1474,1494,1480,1415,1340,1263,1200,1144,1116,1072,1042,1037,1012,987,953,943,945,978,1002,1007,1015,1030,1054,1090,1099,1101,1121,1148,1162,1168,1198,1247,1285,1319,1353,1376,1325,1258,1192,1157,1158,1184,1160,1130,1099,1076,1033,994,953,936,903,863,842,826,813,811,811,816,826,830,854,896,952,994,1055,1116,1196,1275,1313,1343,1360,1358,1316,1277,1251,1310,1356,1415,1478,1542,1570,1604,1643,1672,1698,1745,1808,1850,1914,1942,1876,1802,1759,1716,1671,1621,1587,1575,1554,1544,1535,1532,1543,1577,1579,1615,1655,1691,1752,1844,1907,1952,1975,1938,1878,1875,1796,1714,1699,1670,1680,1698,1713,1615,1538,1443,1434,1450,1418,1383,1300,1269,1205,1138,1094,1035,1054,1067,1068,938,878,816,800,785,738,753,737,698,661,608,504,507,492,475,453,441,433,430,412,405,406,408,410,401,402,391,372,369,373,371,378,382,405,395,388,386,385,392,407,417,411,378,330,308,302,302,302,303,32768,32768,302,304,303,303,303,660,609,590,616,645,659,672,690,715,736,749,766,779,802,817,834,851,867,892,898,892,895,880,896,880,913,956,995,1074,1130,1194,1237,1302,1394,1461,1438,1386,1311,1236,1150,1105,1078,1060,1068,1086,1102,1118,1118,1121,1133,1140,1141,1141,1149,1159,1195,1255,1297,1318,1361,1431,1487,1498,1465,1394,1341,1259,1199,1141,1104,1078,1042,1016,992,971,955,942,958,980,1005,1014,1025,1047,1072,1096,1114,1114,1134,1166,1176,1190,1225,1284,1313,1346,1380,1373,1301,1237,1201,1203,1214,1184,1167,1140,1103,1076,1030,992,948,929,900,861,845,831,814,813,814,822,826,839,867,915,964,1008,1064,1125,1205,1281,1310,1348,1343,1322,1268,1237,1226,1311,1355,1415,1479,1544,1585,1620,1660,1693,1732,1769,1825,1869,1936,1942,1881,1811,1771,1716,1678,1631,1597,1587,1564,1548,1532,1529,1554,1597,1605,1634,1671,1701,1763,1840,1909,1955,1932,1864,1827,1807,1729,1659,1648,1620,1611,1616,1636,1617,1517,1431,1367,1383,1355,1323,1246,1201,1173,1139,1085,1028,1000,1007,999,909,774,745,754,748,724,718,700,665,634,599,524,467,465,454,430,425,419,412,403,393,382,382,383,384,381,365,361,365,367,367,368,399,385,382,381,382,387,402,416,414,398,356,305,302,301,302,302,302,301,32768,304,303,305,302,302,665,616,580,605,634,652,672,690,717,736,748,763,783,801,814,829,847,864,886,889,874,877,868,878,878,913,956,998,1085,1150,1203,1244,1305,1397,1452,1444,1389,1300,1227,1151,1106,1077,1069,1068,1091,1107,1129,1131,1125,1136,1147,1143,1148,1157,1170,1214,1266,1305,1328,1374,1439,1490,1498,1451,1378,1331,1254,1193,1140,1116,1084,1052,1022,992,971,953,944,962,979,1003,1017,1030,1052,1079,1108,1123,1125,1144,1175,1183,1202,1238,1299,1331,1359,1396,1362,1289,1233,1226,1221,1224,1189,1171,1143,1102,1082,1034,988,947,925,898,861,845,832,815,814,814,821,829,848,875,923,971,1016,1071,1134,1215,1288,1314,1344,1327,1302,1249,1216,1223,1303,1343,1407,1478,1542,1588,1627,1667,1699,1744,1785,1835,1881,1954,1944,1883,1819,1773,1714,1676,1630,1602,1587,1567,1551,1532,1531,1560,1602,1617,1645,1683,1714,1778,1859,1922,1954,1911,1830,1794,1774,1686,1634,1624,1604,1576,1575,1591,1594,1512,1423,1325,1335,1330,1283,1216,1175,1148,1113,1078,1019,971,983,972,864,762,728,735,731,720,706,688,650,608,573,509,457,453,442,420,416,412,405,397,388,376,379,377,375,367,359,359,363,364,365,370,385,378,377,377,382,390,404,412,408,392,333,303,302,301,302,302,302,302,302,304,300,305,302,302,672,634,572,589,609,635,657,681,709,733,744,762,779,794,805,818,834,851,860,849,843,847,843,867,903,940,991,1029,1097,1170,1227,1265,1330,1413,1461,1456,1371,1274,1214,1147,1101,1078,1079,1081,1101,1119,1141,1140,1142,1145,1151,1147,1157,1165,1196,1245,1288,1323,1351,1404,1463,1495,1499,1422,1351,1308,1251,1197,1162,1141,1103,1065,1042,1010,973,950,945,966,984,998,1019,1040,1057,1098,1129,1147,1151,1158,1188,1206,1226,1262,1319,1359,1395,1400,1346,1278,1258,1261,1259,1231,1206,1185,1150,1106,1073,1040,989,941,911,888,859,838,826,817,816,815,816,837,869,893,943,991,1034,1089,1157,1241,1302,1319,1315,1295,1261,1216,1191,1204,1284,1335,1410,1471,1535,1583,1641,1687,1719,1761,1808,1857,1901,2022,1947,1886,1815,1765,1705,1671,1629,1599,1581,1576,1551,1538,1539,1575,1607,1639,1673,1711,1744,1801,1903,1950,1911,1863,1781,1726,1702,1638,1591,1584,1556,1504,1503,1509,1524,1519,1427,1338,1250,1251,1226,1165,1123,1100,1064,1029,999,917,889,872,760,727,686,696,702,688,673,643,618,573,498,482,440,432,419,399,403,398,392,386,379,369,367,363,361,354,353,355,358,361,359,360,354,358,364,374,386,395,407,405,394,352,307,302,302,301,302,302,301,302,302,301,301,302,302,303,661,602,569,598,642,653,676,694,714,730,739,754,770,784,791,802,817,830,820,812,817,817,842,876,910,941,981,1038,1103,1162,1218,1261,1336,1406,1448,1437,1354,1260,1195,1140,1099,1077,1083,1089,1116,1128,1145,1146,1148,1160,1152,1153,1169,1178,1228,1268,1308,1344,1375,1442,1495,1505,1485,1413,1339,1289,1235,1194,1150,1133,1117,1079,1056,1016,972,950,948,971,992,1010,1033,1050,1069,1103,1137,1153,1164,1188,1203,1226,1259,1297,1347,1389,1429,1390,1337,1289,1297,1299,1279,1245,1212,1190,1158,1112,1076,1037,992,941,903,885,858,830,820,819,818,817,817,856,897,917,959,1011,1053,1113,1188,1266,1297,1303,1279,1262,1220,1182,1151,1198,1278,1321,1394,1460,1524,1561,1619,1689,1728,1775,1816,1873,1929,2028,1951,1886,1811,1747,1698,1665,1630,1606,1590,1575,1559,1556,1556,1578,1612,1650,1698,1744,1779,1852,1933,1964,1920,1787,1736,1681,1623,1603,1557,1517,1480,1450,1440,1437,1466,1470,1432,1358,1254,1176,1175,1124,1081,1041,999,981,915,870,766,763,718,684,645,637,638,607,596,596,570,500,465,451,426,419,401,387,389,384,380,377,369,360,351,347,347,347,349,351,354,355,354,353,348,346,356,369,383,391,404,390,354,321,302,302,302,301,301,302,302,302,303,301,303,302,302,302,635,569,571,600,648,656,677,692,709,723,731,744,758,769,775,786,795,802,791,790,795,814,843,867,912,968,1015,1048,1107,1171,1228,1274,1357,1412,1430,1413,1330,1244,1184,1134,1096,1082,1082,1100,1124,1138,1147,1151,1154,1166,1164,1162,1187,1202,1257,1292,1328,1362,1401,1472,1515,1522,1462,1385,1323,1278,1218,1181,1135,1101,1093,1060,1045,1016,968,951,951,974,991,1007,1030,1055,1075,1109,1141,1159,1182,1212,1223,1248,1286,1338,1380,1417,1449,1393,1339,1328,1340,1330,1301,1252,1216,1190,1156,1114,1080,1025,978,935,906,883,859,826,821,821,820,819,821,884,919,941,979,1038,1077,1136,1217,1272,1299,1269,1235,1213,1172,1140,1125,1204,1280,1323,1384,1443,1502,1553,1610,1662,1708,1743,1774,1821,1989,2004,1942,1885,1816,1746,1690,1660,1633,1617,1595,1578,1580,1568,1568,1588,1632,1665,1722,1766,1813,1906,1954,1914,1888,1786,1662,1606,1573,1571,1508,1457,1450,1386,1362,1377,1420,1418,1380,1337,1268,1210,1114,964,1044,986,927,896,859,811,721,709,681,641,612,569,566,561,531,551,525,465,440,416,409,400,391,377,377,372,368,365,359,351,346,342,341,343,345,348,349,350,349,351,346,342,342,347,355,352,358,350,326,306,301,302,301,300,301,301,301,302,303,304,304,302,302,302,626,566,581,609,644,656,676,691,706,718,726,739,752,761,766,776,783,783,780,782,795,811,838,883,920,968,1028,1068,1120,1183,1234,1281,1355,1419,1426,1401,1317,1228,1179,1131,1094,1090,1084,1103,1127,1143,1149,1153,1161,1171,1173,1171,1194,1212,1269,1303,1340,1374,1413,1486,1521,1512,1449,1372,1305,1268,1208,1162,1128,1097,1074,1044,1026,1006,967,952,952,975,992,1007,1032,1055,1080,1115,1143,1165,1187,1217,1230,1260,1304,1354,1392,1426,1456,1397,1346,1341,1363,1335,1305,1254,1216,1186,1154,1110,1075,1023,977,934,907,881,859,825,823,823,821,821,823,892,928,952,990,1051,1090,1148,1233,1273,1293,1252,1210,1189,1144,1117,1123,1202,1267,1312,1364,1436,1500,1548,1589,1655,1700,1724,1753,1799,1926,1932,1935,1879,1813,1746,1688,1655,1634,1619,1600,1585,1586,1573,1573,1593,1639,1677,1740,1784,1828,1921,1933,1872,1837,1767,1622,1573,1546,1549,1495,1445,1399,1361,1327,1349,1388,1376,1356,1314,1268,1198,1075,921,975,968,892,862,834,764,708,685,666,615,563,544,551,559,510,508,483,452,426,405,393,393,384,374,370,367,363,360,354,348,344,339,339,341,344,346,347,349,348,348,346,339,337,338,346,336,342,333,315,303,301,301,301,301,301,301,301,302,301,301,304,302,302,302,602,560,587,616,642,654,671,684,698,708,715,724,734,746,752,759,761,751,760,781,819,836,868,914,954,1004,1048,1088,1144,1194,1236,1283,1348,1406,1432,1379,1290,1208,1169,1123,1098,1110,1098,1121,1131,1150,1151,1160,1174,1182,1172,1188,1204,1232,1289,1324,1360,1396,1441,1525,1534,1495,1435,1357,1285,1240,1190,1140,1102,1077,1046,1016,1000,982,968,951,961,980,996,1011,1034,1066,1090,1123,1150,1180,1202,1227,1244,1277,1333,1374,1412,1442,1463,1400,1356,1369,1386,1348,1312,1260,1224,1185,1143,1104,1062,1020,977,935,904,875,847,825,825,825,823,822,832,911,947,969,1017,1074,1115,1171,1248,1270,1268,1222,1175,1152,1112,1071,1111,1181,1240,1289,1350,1426,1482,1512,1574,1645,1656,1684,1713,1757,1816,1883,1930,1869,1808,1744,1685,1656,1640,1619,1605,1601,1598,1593,1598,1609,1648,1688,1748,1812,1881,1932,1905,1789,1724,1687,1576,1517,1486,1491,1462,1433,1342,1303,1282,1295,1318,1308,1287,1251,1214,1173,1014,914,831,882,852,799,781,720,677,646,616,545,515,499,511,528,519,456,428,419,406,392,377,379,371,362,360,356,354,351,346,342,336,334,336,339,340,341,345,343,344,343,344,337,334,331,327,323,318,312,308,303,301,301,301,301,301,301,301,302,301,301,302,302,302,302,590,555,596,622,641,651,664,675,687,697,702,710,722,723,733,740,735,741,771,806,819,837,869,917,950,1002,1050,1084,1131,1183,1236,1280,1346,1413,1435,1358,1276,1199,1161,1121,1109,1118,1101,1128,1138,1145,1157,1167,1184,1187,1188,1206,1212,1250,1310,1343,1380,1421,1474,1542,1550,1473,1414,1333,1271,1227,1188,1145,1099,1087,1057,1041,1023,992,962,953,969,984,1006,1023,1041,1071,1101,1135,1159,1185,1217,1246,1261,1298,1346,1386,1430,1455,1457,1396,1381,1402,1393,1347,1316,1258,1221,1194,1145,1102,1057,1014,965,926,901,869,842,831,828,827,826,826,849,922,958,977,1036,1092,1136,1203,1271,1273,1244,1194,1148,1109,1073,1041,1090,1163,1213,1266,1346,1405,1453,1504,1571,1605,1616,1645,1676,1720,1756,1921,1936,1873,1800,1742,1690,1667,1648,1630,1624,1619,1614,1606,1618,1641,1681,1724,1778,1848,1879,1824,1833,1720,1686,1617,1557,1502,1435,1424,1398,1389,1340,1262,1210,1230,1247,1246,1220,1195,1183,1142,960,852,799,793,777,745,726,672,640,620,525,486,479,469,466,476,469,438,400,400,390,369,363,364,359,352,351,348,345,343,341,333,330,330,333,335,336,337,339,340,340,339,340,336,332,328,324,319,315,310,306,303,301,301,301,301,300,301,301,301,302,302,302,301,301,301,582,556,595,618,640,649,660,671,681,691,693,691,704,704,715,725,729,748,788,809,820,837,866,903,937,992,1041,1079,1128,1181,1235,1279,1343,1416,1429,1348,1267,1196,1158,1123,1117,1118,1109,1133,1143,1147,1158,1171,1182,1188,1196,1215,1219,1259,1321,1352,1390,1434,1484,1546,1555,1471,1406,1329,1267,1227,1183,1142,1119,1107,1075,1060,1036,989,960,957,973,988,1011,1028,1047,1076,1108,1145,1163,1192,1221,1252,1268,1308,1355,1394,1438,1460,1452,1398,1401,1417,1389,1336,1306,1256,1215,1189,1146,1099,1054,1013,966,924,898,865,843,833,830,828,827,830,855,938,959,984,1044,1100,1146,1223,1271,1271,1230,1182,1137,1093,1050,1036,1084,1154,1204,1267,1340,1385,1454,1502,1562,1583,1598,1626,1653,1700,1744,1877,1939,1878,1802,1745,1694,1669,1653,1639,1635,1628,1615,1614,1632,1658,1704,1742,1794,1873,1842,1771,1783,1710,1647,1581,1543,1493,1401,1384,1377,1358,1320,1265,1186,1200,1223,1225,1197,1165,1162,1173,949,891,789,746,723,715,695,659,616,589,496,466,457,458,448,453,444,423,391,393,382,361,357,359,352,347,347,343,342,341,336,330,328,328,332,334,334,336,337,338,338,336,338,336,332,327,323,319,314,310,306,303,302,301,301,301,300,301,301,301,304,302,301,301,301,301,577,552,598,622,636,645,655,664,673,687,671,669,679,692,700,719,738,746,766,790,809,825,856,905,937,984,1025,1071,1125,1174,1234,1280,1342,1417,1415,1322,1245,1184,1157,1124,1127,1119,1122,1147,1155,1154,1161,1175,1186,1199,1204,1222,1230,1277,1338,1369,1412,1463,1506,1547,1561,1461,1405,1336,1272,1236,1199,1173,1162,1124,1104,1060,1026,985,959,966,980,995,1019,1037,1060,1093,1120,1156,1179,1211,1233,1258,1282,1323,1372,1415,1453,1467,1455,1420,1436,1413,1372,1324,1293,1250,1201,1167,1128,1084,1047,1007,963,921,902,863,845,837,832,831,830,840,867,939,961,1000,1056,1115,1163,1255,1261,1250,1202,1153,1114,1077,1015,1038,1054,1116,1202,1257,1288,1380,1436,1477,1529,1538,1558,1588,1615,1671,1719,1812,1947,1886,1804,1748,1702,1679,1666,1654,1649,1640,1632,1642,1661,1690,1731,1781,1843,1845,1763,1681,1701,1660,1621,1541,1493,1476,1387,1323,1318,1291,1275,1234,1168,1148,1154,1170,1142,1096,1098,1109,1016,943,831,730,646,650,639,618,548,507,462,433,435,434,422,416,408,398,381,371,367,344,346,346,342,338,341,337,335,330,328,325,324,325,328,330,331,332,333,334,335,333,334,334,329,327,322,318,313,309,305,303,301,301,301,301,300,301,301,303,301,303,301,301,301,301,576,548,590,620,631,642,651,659,670,670,655,683,701,719,730,743,759,768,778,785,812,837,862,888,923,959,1025,1069,1131,1181,1238,1288,1353,1420,1397,1305,1234,1177,1153,1128,1128,1119,1136,1158,1160,1156,1170,1191,1194,1201,1212,1232,1242,1296,1361,1388,1430,1489,1535,1566,1558,1444,1396,1335,1279,1254,1216,1213,1175,1144,1091,1037,1009,985,960,978,994,1002,1026,1049,1076,1108,1139,1166,1197,1233,1253,1264,1300,1338,1388,1437,1469,1475,1456,1447,1454,1405,1371,1322,1288,1245,1197,1156,1107,1068,1036,998,959,923,894,864,848,841,835,835,834,844,877,929,961,1005,1060,1126,1179,1266,1262,1231,1177,1130,1082,1052,991,996,1034,1104,1169,1208,1287,1353,1405,1447,1489,1496,1517,1548,1588,1645,1699,1806,1908,1885,1808,1755,1705,1692,1685,1670,1665,1666,1666,1671,1688,1722,1752,1819,1891,1801,1699,1567,1573,1553,1588,1534,1439,1405,1389,1248,1255,1236,1231,1187,1148,1060,1079,1098,1086,1038,1026,1009,964,906,882,757,657,595,578,551,516,486,452,421,411,412,402,390,383,376,372,354,344,335,336,335,334,331,334,331,325,323,322,320,321,323,325,327,327,329,330,331,330,330,330,330,326,323,320,317,312,308,305,303,301,301,301,301,301,301,301,303,300,304,301,301,301,301,583,547,578,615,631,641,649,655,651,642,652,684,708,724,737,751,764,775,790,807,810,823,845,868,888,930,1010,1056,1117,1163,1226,1288,1370,1424,1380,1294,1229,1177,1147,1132,1128,1127,1144,1168,1166,1164,1178,1196,1200,1207,1227,1238,1253,1316,1372,1399,1449,1513,1550,1577,1510,1418,1368,1313,1284,1274,1254,1228,1184,1153,1104,1051,1012,977,961,986,1000,1013,1031,1053,1085,1119,1146,1173,1211,1251,1266,1285,1323,1360,1409,1457,1484,1485,1456,1461,1443,1400,1361,1312,1277,1234,1183,1145,1107,1065,1030,992,963,927,896,869,854,845,839,847,839,846,885,918,953,1004,1057,1131,1191,1259,1246,1202,1153,1094,1051,1016,956,996,1039,1090,1166,1223,1271,1325,1376,1408,1451,1441,1474,1489,1568,1632,1681,1757,1823,1885,1816,1764,1720,1708,1698,1691,1692,1684,1694,1707,1723,1747,1783,1834,1880,1743,1624,1497,1485,1510,1555,1508,1425,1348,1330,1274,1189,1178,1169,1195,1128,1011,986,1023,1017,987,943,946,901,869,841,799,676,616,591,535,500,479,446,419,397,392,385,372,364,355,341,344,334,328,329,327,325,325,328,324,319,318,317,317,318,321,322,323,325,325,327,327,327,326,326,327,326,321,318,315,311,307,305,303,301,301,301,301,301,300,300,303,302,301,301,301,301,301,584,547,573,609,630,638,646,650,634,640,652,687,708,728,738,752,767,778,793,811,828,832,862,884,905,936,1000,1047,1104,1159,1227,1294,1375,1421,1371,1291,1225,1171,1146,1135,1129,1129,1147,1173,1169,1169,1186,1196,1205,1210,1230,1244,1260,1325,1377,1406,1455,1521,1553,1570,1489,1409,1359,1296,1269,1259,1258,1216,1184,1157,1104,1050,1010,977,962,984,1004,1022,1035,1054,1088,1123,1152,1179,1215,1258,1272,1295,1331,1374,1426,1469,1491,1487,1460,1464,1439,1399,1358,1307,1269,1224,1174,1140,1105,1064,1025,992,955,916,893,870,855,847,841,848,841,848,885,918,950,1001,1057,1134,1192,1257,1236,1193,1141,1083,1032,995,941,992,1037,1084,1166,1206,1250,1311,1357,1397,1434,1410,1454,1482,1563,1626,1668,1721,1836,1886,1820,1770,1730,1716,1711,1710,1709,1697,1711,1726,1737,1757,1799,1855,1834,1701,1599,1471,1459,1492,1532,1471,1400,1340,1299,1277,1150,1150,1136,1165,1132,1020,934,972,975,942,900,896,880,849,817,769,699,645,617,540,488,477,445,420,397,384,377,365,355,345,334,337,331,325,325,324,322,323,325,323,317,315,315,316,317,319,320,322,323,324,325,325,325,324,325,325,325,320,318,315,311,306,304,302,301,301,300,301,301,300,300,303,301,301,301,301,301,300,583,546,568,588,618,633,640,614,628,641,666,691,712,732,748,762,776,787,802,816,843,859,888,927,945,979,1010,1053,1107,1162,1228,1293,1379,1420,1356,1280,1218,1165,1147,1136,1134,1140,1157,1182,1183,1192,1196,1205,1210,1219,1238,1257,1282,1345,1386,1419,1477,1534,1565,1539,1457,1384,1340,1281,1227,1223,1222,1184,1147,1144,1093,1040,1006,974,964,975,1009,1031,1048,1066,1098,1135,1165,1194,1231,1274,1288,1307,1348,1390,1446,1492,1503,1486,1473,1461,1427,1391,1349,1301,1256,1207,1164,1136,1105,1062,1019,996,951,914,891,871,859,851,844,848,846,851,897,922,948,996,1053,1132,1188,1258,1215,1176,1120,1073,1002,959,930,993,1027,1077,1119,1177,1242,1277,1330,1372,1390,1368,1402,1489,1556,1596,1631,1694,1892,1890,1834,1785,1746,1740,1740,1737,1742,1727,1740,1758,1768,1789,1827,1792,1718,1637,1462,1437,1409,1463,1489,1436,1354,1303,1237,1215,1181,1096,1071,1103,1125,1047,933,847,902,877,853,852,837,797,765,731,686,644,597,515,464,458,441,414,393,378,365,355,347,337,328,326,323,319,318,317,316,316,320,319,313,311,311,313,314,316,317,319,319,321,322,322,322,321,322,321,322,320,314,314,314,306,304,302,301,301,300,300,301,299,302,301,303,301,301,300,300,300,588,555,548,583,619,632,623,611,638,665,676,693,712,736,752,766,784,799,819,835,845,881,902,931,965,1007,1048,1088,1127,1171,1234,1292,1385,1411,1344,1267,1213,1163,1144,1134,1134,1144,1162,1191,1200,1206,1199,1211,1213,1226,1242,1270,1303,1371,1405,1435,1497,1551,1594,1558,1443,1367,1316,1258,1215,1183,1183,1149,1110,1107,1082,1029,999,974,965,985,1011,1038,1059,1078,1113,1151,1181,1217,1248,1285,1303,1323,1366,1405,1460,1508,1505,1487,1474,1454,1428,1383,1332,1288,1243,1196,1158,1132,1104,1060,1026,987,945,911,889,874,862,854,848,850,852,861,908,936,954,993,1049,1119,1176,1252,1192,1149,1101,1035,988,938,920,979,991,1048,1127,1179,1205,1246,1309,1321,1329,1373,1432,1495,1515,1569,1589,1667,1849,1896,1856,1810,1771,1762,1756,1747,1760,1778,1782,1776,1799,1744,1654,1603,1606,1492,1428,1391,1363,1401,1423,1416,1345,1294,1206,1147,1130,1091,1009,1047,1068,1058,985,881,831,826,813,789,775,751,728,697,668,622,575,487,443,438,423,405,383,372,359,351,343,334,326,320,318,313,313,311,309,310,312,314,310,308,308,310,311,312,314,315,316,318,319,318,318,318,318,317,317,318,314,313,310,306,304,302,301,300,301,300,300,300,302,300,303,300,301,300,300,300,589,550,544,579,620,628,614,608,646,663,674,690,712,735,751,767,788,807,828,849,861,873,912,945,964,1008,1050,1092,1147,1195,1254,1308,1399,1399,1333,1258,1204,1158,1142,1131,1135,1145,1162,1187,1207,1202,1203,1213,1218,1236,1252,1282,1329,1391,1426,1457,1518,1591,1618,1533,1429,1359,1303,1241,1191,1154,1135,1114,1086,1066,1060,1018,992,977,966,986,1009,1035,1062,1088,1120,1167,1198,1229,1249,1289,1312,1340,1385,1422,1478,1526,1503,1493,1473,1444,1425,1374,1320,1270,1230,1189,1148,1120,1095,1047,1009,971,938,909,894,879,865,855,851,860,871,881,918,940,953,993,1048,1107,1161,1241,1173,1127,1080,1039,973,914,908,942,984,1071,1123,1143,1170,1225,1281,1263,1279,1383,1425,1457,1491,1517,1571,1639,1741,1888,1826,1829,1792,1779,1768,1764,1784,1816,1832,1845,1727,1580,1509,1506,1517,1441,1391,1323,1311,1331,1339,1342,1318,1265,1203,1120,1062,1047,980,975,1020,982,928,888,824,780,760,738,741,710,694,671,636,594,566,458,423,417,408,391,375,363,352,345,338,330,322,317,314,310,307,306,305,305,307,309,308,306,306,308,310,309,311,312,313,315,315,315,315,314,314,315,314,314,313,310,307,307,304,302,301,301,300,300,300,300,302,301,300,300,301,300,300,300,589,543,547,582,619,625,611,604,641,661,672,689,712,735,751,768,790,809,830,854,875,887,908,944,973,1015,1061,1101,1145,1197,1262,1321,1404,1394,1329,1252,1201,1155,1140,1130,1135,1145,1162,1181,1204,1197,1201,1211,1223,1237,1253,1292,1341,1402,1436,1472,1529,1611,1611,1524,1426,1352,1301,1242,1206,1170,1111,1090,1068,1048,1043,1013,990,978,967,982,1002,1031,1062,1093,1131,1171,1205,1233,1252,1294,1316,1349,1397,1435,1489,1532,1505,1500,1479,1443,1422,1368,1315,1264,1229,1188,1147,1109,1089,1041,1007,964,931,908,896,880,867,857,855,867,878,887,925,947,950,996,1044,1100,1152,1229,1162,1117,1070,1031,977,908,896,941,989,1072,1103,1121,1151,1223,1246,1224,1288,1374,1412,1430,1479,1504,1554,1628,1722,1851,1817,1806,1796,1782,1773,1767,1773,1787,1799,1797,1601,1525,1475,1457,1476,1462,1377,1299,1285,1282,1294,1300,1280,1252,1174,1114,1045,1009,968,948,993,947,900,874,834,756,732,715,717,689,678,652,601,565,524,444,413,406,398,385,369,358,349,342,336,328,321,317,313,308,305,304,303,304,305,307,306,306,306,307,308,308,309,311,311,313,314,315,314,314,313,313,313,312,310,309,307,308,305,302,301,300,300,301,300,301,300,301,300,300,300,300,300,300,589,548,544,587,615,609,582,608,643,659,669,687,709,730,743,761,788,808,832,858,880,899,928,955,982,1017,1067,1105,1156,1205,1274,1333,1417,1385,1322,1243,1190,1150,1137,1128,1134,1144,1159,1169,1180,1191,1198,1209,1223,1236,1258,1315,1370,1422,1460,1503,1570,1636,1587,1507,1422,1357,1313,1279,1232,1199,1145,1099,1064,1041,1017,1001,991,980,970,995,1016,1040,1068,1096,1144,1188,1210,1239,1262,1293,1324,1367,1414,1457,1514,1539,1522,1522,1492,1436,1408,1356,1304,1257,1226,1187,1153,1117,1064,1025,1003,964,938,916,902,885,868,869,868,876,891,899,941,962,966,994,1038,1088,1137,1202,1142,1099,1045,1007,936,890,32768,957,996,1050,1051,1099,1165,1204,1160,1189,1286,1350,1376,1393,1420,1493,1542,1610,1687,1768,1752,1729,1722,1716,1702,1606,1533,1541,1576,1599,1462,1424,1413,1390,1421,1450,1388,1253,1226,1214,1204,1238,1204,1169,1127,1070,1014,973,931,897,931,901,848,829,806,744,661,679,670,652,637,606,562,508,476,413,394,388,381,371,359,350,341,338,331,325,318,314,311,306,301,302,299,299,301,303,303,303,303,304,305,306,307,308,309,310,310,311,312,312,313,312,311,309,309,306,305,306,304,302,301,300,301,300,300,301,299,301,300,300,300,300,300,300,564,531,544,576,605,583,600,623,645,659,669,684,703,721,734,755,784,805,828,855,884,903,930,958,977,1010,1053,1090,1136,1195,1271,1341,1424,1374,1308,1234,1185,1146,1135,1125,1135,1143,1154,1158,1175,1186,1194,1208,1223,1231,1267,1338,1396,1439,1492,1537,1602,1612,1559,1487,1418,1363,1329,1287,1245,1210,1161,1119,1064,1033,1021,1002,991,973,974,1001,1019,1056,1088,1122,1164,1204,1214,1236,1267,1301,1340,1388,1437,1472,1531,1525,1514,1537,1483,1425,1390,1344,1294,1255,1225,1186,1144,1107,1069,1035,1001,969,942,920,907,890,870,884,879,890,901,917,968,978,992,995,1039,1080,1131,1184,1125,1083,1029,967,900,859,876,941,987,989,1064,1112,1146,1161,1113,1171,1266,1327,1336,1338,1405,1488,1537,1593,1622,1628,1640,1597,1623,1616,1570,1509,1450,1426,1439,1459,1413,1362,1348,1312,1358,1326,1297,1235,1151,1160,1137,1162,1130,1111,1068,1044,1020,962,868,829,870,853,808,770,727,692,640,650,641,635,604,583,517,472,437,384,376,372,365,357,348,342,334,332,328,320,316,309,308,303,300,296,297,296,298,300,300,301,301,302,303,304,304,306,306,306,307,308,308,308,308,307,307,306,306,304,303,303,303,301,301,300,300,299,300,301,301,303,299,300,300,300,300,300,552,520,545,564,565,570,610,633,647,660,671,687,701,715,727,746,770,789,817,847,870,887,908,948,978,1028,1076,1115,1155,1207,1272,1358,1423,1361,1296,1226,1176,1142,1131,1123,1134,1140,1148,1157,1170,1176,1188,1205,1222,1239,1280,1351,1408,1455,1519,1571,1630,1592,1533,1465,1401,1339,1308,1267,1230,1184,1130,1087,1050,1062,1043,1004,992,974,990,1009,1024,1058,1096,1131,1175,1214,1233,1251,1285,1334,1370,1416,1466,1507,1528,1498,1487,1508,1476,1419,1383,1334,1286,1247,1222,1183,1135,1100,1061,1021,1000,968,946,920,907,894,874,897,885,893,909,943,991,996,1017,1007,1039,1077,1124,1165,1102,1061,1009,957,890,833,871,920,930,995,1072,1095,1099,1112,1088,1158,1237,1290,1279,1348,1420,1475,1519,1559,1573,1573,1553,1517,1548,1525,1499,1464,1408,1372,1386,1408,1393,1310,1284,1255,1300,1253,1225,1196,1103,1103,1077,1085,1051,1038,1021,1004,982,914,835,786,809,794,730,685,677,652,624,630,601,577,554,513,469,419,398,363,362,355,350,344,338,333,329,324,321,317,311,307,304,300,297,296,295,294,295,297,298,299,299,300,301,302,303,304,304,305,306,306,32768,306,305,305,304,304,303,302,302,302,304,301,300,300,300,300,300,299,302,302,299,298,300,300,300,300,548,524,534,556,552,584,609,626,642,657,668,683,703,717,728,745,764,780,804,831,850,870,905,955,986,1034,1082,1121,1165,1218,1284,1375,1427,1354,1289,1222,1175,1140,1131,1123,1133,1137,1144,1155,1165,1174,1187,1202,1227,1244,1282,1353,1408,1459,1523,1578,1642,1582,1525,1450,1389,1332,1295,1252,1213,1176,1123,1073,1069,1071,1030,1003,988,974,994,1013,1027,1057,1097,1132,1175,1217,1241,1258,1296,1346,1384,1431,1482,1521,1521,1483,1474,1492,1472,1418,1380,1332,1279,1242,1221,1180,1132,1103,1054,1020,993,967,945,920,905,891,877,899,887,893,909,960,1000,1004,1022,1009,1041,1077,1124,1155,1091,1050,1002,949,889,822,867,895,936,1013,1072,1074,1073,1082,1068,1130,1235,1256,1269,1339,1406,1468,1510,1536,1549,1546,1514,1488,1495,1482,1470,1436,1392,1347,1365,1384,1385,1297,1255,1228,1263,1205,1201,1184,1077,1065,1048,1047,1024,1014,992,975,926,899,823,761,785,757,683,660,654,635,617,613,577,556,532,490,447,399,381,352,354,347,344,339,334,329,326,321,319,316,309,306,303,299,295,295,294,294,295,296,297,299,298,299,300,301,302,303,303,304,305,305,306,305,304,303,303,303,302,301,301,301,302,301,300,300,300,300,299,299,301,301,299,299,300,300,300,300,545,516,32768,32768,584,609,623,631,643,660,674,688,699,711,726,743,762,783,810,829,862,890,914,958,992,1038,1080,1114,1157,1214,1276,1372,1420,1342,1280,1215,1167,1138,1128,1120,1130,1133,1140,1153,1160,1166,1180,1199,1219,1252,1286,1344,1388,1451,1531,1585,1650,1564,1507,1438,1374,1316,1281,1241,1199,1154,1117,1128,1101,1073,1047,1004,983,978,998,1018,1035,1060,1096,1130,1173,1210,1239,1265,1305,1358,1398,1450,1504,1528,1498,1459,1443,1459,1470,1413,1380,1321,1265,1221,1201,1169,1123,1092,1053,1015,995,967,945,922,898,888,889,902,891,897,914,974,1014,1021,1026,1018,1050,1081,1128,1138,1077,1032,981,919,849,807,861,880,942,1022,1027,1028,1030,1017,1045,1132,1181,1188,1220,1317,1394,1453,1488,1491,1502,1494,1460,1435,1427,1420,1414,1397,1362,1306,1331,1328,1285,1265,1196,1174,1151,1155,1139,1143,1091,1006,1000,991,963,943,911,861,835,833,807,736,726,664,635,618,614,595,562,572,557,530,487,437,408,378,359,339,340,335,332,328,325,322,320,317,313,310,306,302,300,297,294,293,294,293,294,295,296,297,297,298,299,299,300,301,302,302,303,303,303,303,302,301,301,301,301,300,300,300,301,301,300,300,299,299,301,300,300,299,299,299,300,300,300,300,545,516,538,570,600,613,620,630,643,661,671,687,704,719,729,745,765,786,807,831,858,886,926,960,987,1026,1068,1103,1152,1213,1281,1377,1408,1325,1273,1209,1162,1136,1126,1118,1126,1131,1144,1147,1151,1162,1182,1202,1224,1254,1283,1347,1396,1466,1549,1595,1629,1548,1498,1440,1385,1342,1311,1275,1226,1199,1175,1145,1107,1097,1056,1007,981,983,1001,1023,1041,1068,1094,1126,1167,1206,1234,1268,1312,1366,1406,1459,1513,1515,1472,1439,1412,1429,1460,1405,1374,1316,1264,1213,1185,1162,1120,1093,1061,1036,1013,972,954,924,903,909,903,908,894,905,922,977,1022,1035,1026,1028,1053,1080,1121,1101,1060,1011,955,905,834,794,841,876,936,998,975,984,994,992,1089,1103,1124,1170,1251,1333,1379,1435,1457,1452,1461,1454,1419,1392,1379,1372,1371,1348,1325,1271,1277,1276,1239,1227,1170,1104,1103,1096,1082,1098,1068,1013,938,947,903,873,832,802,782,777,763,700,619,631,590,574,570,567,544,550,539,461,432,406,384,368,354,329,330,326,322,320,317,316,314,311,309,305,304,299,297,295,293,293,293,293,293,294,295,296,296,297,298,298,299,300,300,301,303,304,301,301,300,300,300,299,301,300,299,300,300,300,301,300,300,299,299,301,300,299,299,299,299,299,299,299,543,507,542,567,597,611,620,629,644,659,670,687,705,718,729,746,765,782,816,844,867,887,917,951,981,1024,1070,1107,1157,1216,1282,1375,1402,1319,1269,1206,1161,1136,1125,1119,1127,1133,1146,1147,1151,1170,1186,1204,1225,1253,1284,1346,1394,1477,1555,1600,1614,1541,1492,1435,1382,1342,1315,1267,1220,1196,1177,1145,1108,1097,1055,1007,980,986,1002,1022,1039,1069,1095,1126,1164,1208,1240,1263,1313,1368,1410,1465,1514,1506,1460,1428,1399,1415,1450,1401,1367,1313,1270,1214,1184,1164,1124,1100,1062,1032,1014,975,956,926,911,916,910,915,899,905,930,985,1024,1036,1023,1027,1051,1076,1110,1073,1023,998,944,898,826,784,820,877,938,975,954,960,973,995,1064,1073,1099,1169,1263,1322,1377,1416,1437,1433,1440,1436,1400,1369,1356,1349,1350,1327,1299,1251,1249,1248,1218,1197,1152,1095,1063,1069,1050,1076,1049,990,934,927,870,835,804,777,758,749,721,684,617,608,573,550,554,562,525,537,508,435,413,395,382,362,340,324,325,322,318,316,314,314,310,309,307,304,302,297,295,294,293,293,293,293,293,294,294,295,295,296,297,298,298,299,300,301,312,308,300,300,300,299,299,299,300,299,299,300,300,299,301,300,300,299,299,301,301,299,299,299,299,300,300,299,536,503,541,566,599,607,619,629,643,658,669,687,703,714,725,744,761,783,823,856,890,905,928,961,987,1028,1070,1107,1161,1218,1290,1374,1391,1309,1260,1201,1159,1135,1126,1115,1127,1139,1150,1147,1160,1175,1184,1203,1225,1252,1287,1349,1393,1461,1536,1592,1593,1523,1476,1421,1362,1311,1278,1236,1187,1155,1138,1123,1088,1087,1047,1000,981,989,1007,1025,1047,1077,1106,1135,1176,1210,1244,1261,1309,1368,1415,1476,1506,1487,1438,1405,1369,1386,1423,1400,1358,1308,1271,1217,1185,1157,1131,1098,1062,1028,1001,972,953,922,920,910,919,921,905,902,942,990,1029,1033,1022,1021,1053,1067,1099,1062,986,951,905,848,799,776,825,886,893,928,904,907,915,982,1010,1033,1136,1228,1259,1326,1346,1383,1398,1395,1397,1399,1363,1326,1309,1300,1304,1292,1256,1209,1184,1186,1178,1143,1149,1092,984,1000,1021,1027,975,910,830,843,817,789,760,732,713,692,669,650,622,573,544,524,527,526,493,488,426,411,399,386,369,351,322,315,317,315,311,310,308,306,306,305,303,300,296,294,293,292,293,293,293,293,293,293,294,295,295,295,296,296,297,298,301,308,309,298,298,298,298,298,298,298,298,299,299,299,299,299,301,299,299,299,299,300,303,299,299,299,299,299,299,299,523,498,548,575,598,604,618,631,645,659,670,32768,695,709,720,737,755,770,809,846,872,877,906,943,973,1019,1077,1106,1159,1224,1302,1378,1381,1301,1253,1197,1159,1136,1127,1119,1126,1130,1147,1147,1161,1170,1182,1203,1223,1252,1287,1345,1389,1457,1533,1607,1576,1496,1451,1403,1356,1307,1262,1205,1154,1121,1092,1087,1067,1053,1033,995,982,990,1016,1032,1046,1071,1107,1140,1173,1212,1236,1261,1316,1375,1420,1485,1494,1467,1418,1379,1343,1359,1392,1396,1354,1300,1267,1222,1190,1162,1125,1090,1054,1024,1005,973,955,924,928,913,931,928,911,904,944,1004,1038,1036,1021,1022,1045,1059,1078,1040,973,921,865,811,768,770,810,840,842,860,853,890,920,981,1048,1104,1170,1260,1273,1294,1307,1345,1356,1354,1345,1330,1302,1274,1258,1248,1252,1251,1224,1162,1123,1118,1118,1094,1097,1063,989,934,930,909,875,828,802,787,761,747,724,696,676,659,632,611,593,584,535,510,497,477,393,418,386,388,387,361,344,321,307,308,308,308,306,303,302,302,302,300,300,292,292,292,292,293,293,292,293,293,293,293,293,294,294,294,295,296,296,297,304,301,296,296,297,297,297,297,298,298,298,298,299,299,299,299,299,299,299,300,299,300,300,299,298,299,300,299,299,300,509,516,566,582,589,604,618,631,644,658,666,678,701,717,731,747,764,786,792,828,845,883,922,957,991,1038,1089,1123,1170,1234,1316,1380,1372,1293,1248,1193,1157,1136,1128,1118,1119,1127,1136,1142,1157,1168,1176,1204,1223,1248,1288,1345,1390,1466,1548,1610,1541,1470,1418,1378,1351,1308,1264,1215,1171,1155,1112,1065,1036,1021,1011,990,984,996,1021,1038,1057,1087,1116,1144,1181,1206,1228,1270,1326,1386,1428,1486,1481,1443,1394,1353,1321,1330,1363,1396,1356,1293,1264,1217,1194,1162,1111,1077,1041,1017,1003,983,955,932,931,925,934,934,915,909,948,1001,1048,1037,1025,1027,1036,1049,1056,1026,953,896,841,789,752,765,821,787,784,805,841,900,986,1027,1092,1146,1192,1227,1232,1258,1258,1293,1298,1295,1270,1248,1211,1164,1138,1116,1152,1190,1188,1139,1069,1069,1058,1044,1044,1011,960,886,860,844,825,786,763,723,722,704,691,667,651,635,615,596,562,540,495,471,425,419,379,374,359,377,368,345,322,308,300,301,302,302,300,298,298,298,298,297,291,292,292,292,292,292,293,293,293,293,293,293,293,294,294,294,294,294,295,295,295,295,294,295,296,296,297,297,297,297,297,297,299,299,299,299,299,299,299,301,300,300,299,299,298,299,299,299,299,299,506,516,557,575,587,605,618,630,643,654,664,685,705,722,734,748,766,789,803,820,859,894,927,964,996,1037,1090,1124,1176,1240,1327,1389,1367,1288,1245,1191,1156,1135,1128,1118,1117,1122,1130,1140,1149,1157,1167,1202,1220,1248,1293,1349,1391,1468,1552,1601,1520,1450,1404,1357,1345,1324,1276,1233,1199,1168,1117,1080,1039,1028,1003,991,985,999,1020,1041,1062,1091,1121,1146,1181,1209,1233,1274,1330,1387,1429,1482,1476,1431,1383,1342,1309,1309,1344,1393,1357,1293,1260,1218,1191,1154,1104,1075,1040,1017,1002,986,950,934,933,928,937,935,918,911,949,997,1047,1037,1029,1023,1033,1041,1046,1011,931,883,826,780,740,768,821,770,787,834,879,942,1032,1048,1110,1152,1173,1205,1211,1223,1233,1267,1267,1272,1250,1214,1175,1139,1079,1096,1148,1159,1163,1119,1035,1041,1031,1019,1012,998,942,871,837,815,803,771,744,703,695,684,677,654,641,627,610,592,548,519,465,439,410,400,370,362,349,361,348,329,313,304,298,299,300,300,298,297,296,296,296,295,291,292,292,292,292,292,292,293,293,293,293,293,293,294,294,294,294,294,294,295,295,294,294,295,295,296,296,297,297,297,297,297,299,299,299,299,299,299,299,300,299,300,299,299,299,299,299,299,300,299,489,516,551,573,588,605,617,627,640,649,660,690,707,724,735,748,770,793,823,845,858,876,911,952,986,1038,1090,1113,1163,1229,1324,1390,1357,1282,1238,1186,1155,1135,1128,1122,1100,1114,1121,1137,1132,1144,1164,1190,1216,1245,1297,1361,1412,1471,1573,1589,1513,1420,1365,1316,1308,1317,1287,1263,1219,1177,1129,1083,1077,1058,1011,988,990,1002,1027,1042,1061,1090,1115,1151,1187,1219,1241,1278,1333,1386,1424,1472,1457,1410,1357,1311,1276,1264,1305,1375,1356,1298,1266,1224,1197,1161,1111,1078,1041,1018,1004,992,959,944,937,942,951,940,924,914,952,993,1039,1038,1033,1033,1030,1031,1034,979,902,852,801,756,737,762,774,757,795,875,943,1018,1075,1092,1087,1104,1137,1155,1149,1165,1200,1231,1223,1233,1227,1224,1148,1092,1048,1031,1022,1079,1095,1069,998,975,977,970,984,969,888,827,786,770,765,740,720,684,657,653,650,634,625,617,610,533,493,438,416,402,394,377,358,351,341,331,321,310,303,297,295,294,294,296,294,293,292,292,293,291,291,291,292,292,292,292,292,293,293,293,293,293,293,293,294,294,294,294,293,294,294,294,294,294,295,295,296,296,296,297,297,297,298,298,299,299,299,300,300,300,300,300,299,299,299,299,299,300,299,299,486,525,562,569,593,604,616,624,635,653,671,690,707,724,735,749,772,792,816,842,863,878,915,940,973,1021,1070,1108,1162,1219,1314,1379,1342,1274,1237,1182,1152,1135,1128,1118,1093,1106,1112,1132,1129,1141,1158,1192,1218,1249,1299,1362,1412,1481,1610,1567,1484,1404,1354,1290,1270,1289,1255,1246,1211,1175,1138,1108,1086,1055,1003,997,998,1012,1040,1052,1073,1097,1138,1155,1186,1220,1243,1277,1330,1380,1415,1453,1427,1386,1332,1273,1237,1224,1250,1348,1356,1302,1273,1232,1203,1165,1116,1083,1047,1022,1007,997,963,959,947,949,959,943,925,914,963,994,1036,1036,1035,1042,1028,1022,1019,955,903,849,781,739,719,730,731,759,796,865,946,1026,1047,1055,1048,1067,1096,1088,1101,1142,1190,1198,1185,1194,1192,1205,1159,1104,1034,984,956,1012,1010,1012,975,942,895,892,896,882,832,783,754,728,727,709,673,638,614,623,626,617,611,610,525,451,421,402,379,376,379,368,355,342,335,325,318,309,302,295,292,294,292,293,292,292,291,291,290,291,291,292,292,292,292,292,292,293,293,293,293,293,293,293,294,294,294,294,294,294,294,294,294,294,295,295,295,296,296,297,297,297,297,298,298,298,299,300,300,300,299,302,299,299,299,299,299,299,300,299,491,522,552,580,593,602,613,620,637,655,668,688,707,724,734,750,773,777,794,818,852,886,910,952,983,1020,1070,1103,1136,1200,1337,1387,1344,1276,1238,1185,1152,1135,1127,1119,1090,1099,1112,1123,1126,1136,1152,1192,1218,1250,1303,1366,1417,1494,1613,1548,1449,1375,1338,1295,1233,1248,1233,1203,1184,1159,1118,1121,1080,1044,993,997,1002,1018,1041,1068,1080,1116,1137,1163,1196,1222,1244,1277,1328,1373,1406,1432,1391,1357,1303,1246,1205,1184,1215,1300,1348,1307,1276,1237,1199,1170,1117,1087,1049,1025,1013,1002,973,962,949,964,958,938,931,917,967,999,1036,1033,1038,1043,1024,1012,1001,951,875,825,768,725,704,707,731,754,792,857,924,1011,1011,1010,1013,1034,1031,1046,1075,1133,1158,1152,1141,1151,1152,1169,1205,1172,1089,990,913,892,914,946,911,895,873,828,833,838,791,730,703,670,664,634,619,596,596,601,604,599,554,527,446,408,383,373,358,357,364,357,346,337,328,322,316,308,301,293,292,291,291,292,292,291,290,291,291,291,291,292,292,292,292,292,293,292,292,293,293,293,293,293,293,294,294,293,294,294,294,294,294,294,295,295,295,296,296,296,296,297,297,298,298,298,299,298,300,299,299,299,298,299,298,299,299,299,299,301,494,526,554,582,593,601,610,616,636,653,667,687,706,724,734,748,762,769,801,829,864,892,921,953,975,1016,1064,1089,1126,1195,1346,1391,1342,1276,1239,1187,1154,1134,1125,1117,1087,1096,1109,1119,1125,1134,1149,1187,1214,1251,1305,1370,1420,1496,1608,1541,1442,1366,1323,1289,1234,1224,1224,1182,1169,1147,1101,1115,1075,1040,993,995,1006,1026,1047,1071,1092,1123,1146,1165,1196,1226,1244,1278,1332,1373,1403,1423,1375,1340,1289,1233,1186,1171,1203,1266,1335,1306,1277,1236,1199,1169,1110,1084,1050,1028,1020,1004,976,963,947,968,960,938,930,923,969,1003,1034,1029,1042,1044,1026,1007,991,944,879,818,765,718,698,705,731,752,794,858,922,1008,996,986,997,1013,1005,1030,1072,1121,1132,1125,1114,1125,1129,1146,1184,1141,1116,1063,908,855,854,903,887,847,830,804,813,820,786,704,679,633,630,608,598,580,584,589,590,566,529,496,424,388,369,362,350,351,356,352,341,334,326,320,314,307,300,293,291,291,291,291,291,290,291,291,291,291,291,291,292,292,292,292,293,292,292,292,292,292,293,293,293,294,294,294,294,294,294,294,294,295,295,295,295,296,296,296,296,297,297,298,298,298,299,298,300,298,299,299,298,298,299,299,299,299,299,300,507,526,556,584,591,597,604,618,634,651,665,685,704,718,724,734,752,779,812,834,862,880,907,942,967,999,1040,1059,1116,1185,1337,1386,1338,1280,1242,1199,1162,1135,1122,1107,1082,1086,1098,1115,1123,1133,1152,1181,1208,1248,1300,1368,1424,1540,1603,1530,1427,1359,1316,1264,1219,1182,1182,1166,1135,1125,1086,1092,1067,1037,994,998,1011,1035,1058,1080,1103,1132,1152,1167,1198,1230,1245,1283,1346,1375,1396,1397,1341,1304,1257,1194,1163,1136,1169,1217,1301,1304,1274,1233,1203,1161,1109,1083,1057,1039,1034,1003,987,965,952,965,948,939,929,929,975,1009,1038,1022,1041,1044,1031,994,964,926,865,795,745,709,690,699,725,761,797,841,907,992,965,948,967,967,970,1038,1078,1082,1082,1076,1071,1074,1084,1104,1127,1083,1054,1055,917,839,795,782,806,782,760,734,767,730,689,664,641,608,578,564,556,552,550,549,538,507,446,417,382,351,346,339,336,340,343,340,331,327,322,317,311,306,298,293,290,290,290,290,290,291,291,291,291,292,291,291,292,292,292,292,292,292,292,292,292,293,293,293,293,293,293,294,294,294,295,295,295,295,295,295,295,295,296,296,296,297,297,297,298,298,298,298,299,298,301,299,298,299,298,298,298,298,298,299,522,535,548,562,578,596,609,617,631,646,660,678,689,701,718,744,768,783,799,815,844,861,903,931,933,968,1029,1068,1116,1176,1300,1364,1337,1283,1250,1204,1165,1133,1117,1103,1086,1077,1091,1104,1122,1130,1160,1185,1207,1244,1303,1367,1430,1552,1590,1504,1423,1363,1322,1285,1249,1203,1148,1135,1097,1089,1073,1057,1042,1030,999,998,1018,1043,1068,1093,1121,1144,1160,1174,1205,1235,1248,1291,1345,1380,1389,1361,1315,1269,1225,1159,1128,1106,1137,1174,1255,1301,1272,1234,1204,1160,1118,1089,1062,1055,1043,1003,1006,965,957,964,944,940,932,938,982,1017,1023,1000,1006,1032,1032,982,938,892,830,771,721,693,678,689,726,748,768,811,884,949,936,907,923,921,972,1037,1049,1043,1040,1036,1028,1033,1038,1052,1075,1012,1001,975,924,870,783,737,724,700,677,639,659,649,630,616,603,590,554,517,509,494,499,492,471,429,402,377,342,330,329,324,325,330,332,329,324,320,316,313,309,303,296,291,290,290,290,290,291,291,291,291,291,292,291,291,292,292,292,292,292,292,292,292,292,293,293,294,293,294,294,294,294,294,295,295,295,295,295,295,295,295,296,296,296,296,297,297,298,298,298,298,299,300,301,298,299,299,298,299,298,298,298,299,531,564,581,578,588,600,609,618,631,643,654,668,684,705,722,744,763,776,782,817,823,848,890,882,923,975,1023,1048,1097,1158,1272,1340,1340,1291,1252,1207,1166,1132,1114,1100,1089,1073,1085,1098,1119,1130,1153,1183,1205,1244,1303,1373,1436,1554,1574,1484,1412,1354,1313,1264,1219,1176,1141,1106,1087,1082,1055,1045,1024,1013,1002,1002,1023,1055,1079,1100,1128,1161,1180,1194,1218,1242,1257,1307,1349,1375,1374,1344,1277,1245,1193,1143,1099,1084,1107,1145,1189,1279,1278,1241,1207,1168,1128,1097,1069,1060,1038,1019,1003,972,964,967,946,940,949,971,1002,1024,1017,969,970,985,1013,952,914,867,800,753,703,680,664,682,714,729,740,775,858,902,899,876,875,898,970,1031,1034,1022,1008,1000,993,998,1003,1005,1012,960,954,929,891,840,802,726,692,674,618,593,32768,602,581,567,568,551,489,468,460,434,434,435,411,384,364,349,326,318,315,311,316,321,323,322,317,315,311,307,305,299,294,290,290,290,290,289,289,291,291,291,290,290,291,292,292,292,292,292,292,292,292,293,292,292,292,32768,32768,32768,294,297,294,294,294,295,295,295,295,295,295,296,296,296,296,296,297,297,297,298,298,299,298,299,299,298,298,298,298,298,298,298,298,299,538,558,583,584,586,601,609,617,630,642,652,667,683,700,716,740,757,768,780,813,818,853,873,871,926,962,1005,1037,1087,1159,1261,1323,1339,1291,1251,1208,1169,1132,1114,1099,1090,1070,1080,1095,1118,1128,1149,1178,1203,1244,1306,1375,1438,1543,1559,1480,1407,1348,1310,1260,1230,1182,1157,1135,1114,1098,1065,1064,1032,1012,1003,1006,1024,1060,1092,1095,1121,1163,1184,1201,1223,1245,1263,1315,1350,1369,1362,1330,1264,1227,1177,1142,1080,1073,1096,1129,1165,1263,1283,1244,1210,1173,1136,1101,1073,1060,1036,1027,1005,973,966,968,947,940,962,982,1008,1031,1013,957,951,964,991,940,902,853,790,745,698,674,663,678,708,718,725,759,841,882,880,860,855,897,970,1035,1040,1020,1000,988,977,980,986,984,969,935,935,910,874,825,789,734,675,652,606,576,580,580,560,537,533,499,466,456,440,428,420,409,387,367,348,335,321,314,311,308,313,317,319,317,314,312,309,304,303,297,293,290,290,290,290,289,290,290,291,290,291,290,290,291,291,292,292,292,292,292,292,292,292,292,292,293,32768,32768,294,296,294,294,294,295,295,295,295,295,296,296,296,296,296,296,297,297,297,298,298,298,298,299,298,298,298,298,298,298,298,298,298,298,509,522,556,562,572,598,610,617,629,640,648,660,674,692,705,726,742,749,773,795,817,845,832,881,893,957,1017,1050,1097,1153,1212,1290,1336,1292,1253,1209,1168,1132,1113,1098,1084,1070,1072,1087,1111,1121,1141,1173,1198,1256,1316,1385,1433,1520,1526,1469,1406,1358,1333,1301,1257,1215,1199,1166,1135,1113,1097,1073,1023,1006,1003,1014,1031,1063,1102,1107,1128,1163,1192,1212,1233,1257,1280,1330,1350,1355,1333,1294,1244,1189,1149,1128,1054,1051,1073,1099,1142,1216,1284,1250,1219,1181,1146,1114,1076,1065,1037,1037,1006,982,971,966,952,940,977,1001,1022,1048,1002,939,913,916,948,904,874,804,759,727,694,665,655,663,685,694,710,742,827,841,830,806,860,912,978,1016,1010,995,974,955,944,950,957,948,919,888,893,875,840,799,765,710,654,628,599,559,541,545,523,505,478,457,435,430,417,399,386,377,355,342,327,317,309,305,299,301,306,310,311,311,308,306,302,299,297,295,291,290,290,290,289,290,290,289,290,290,290,291,291,291,291,291,291,292,291,292,293,292,292,292,32768,32768,32768,293,294,294,294,294,294,295,295,295,295,296,296,296,296,296,296,296,297,297,297,298,297,298,298,298,298,298,298,298,298,298,298,298,298,298,472,492,530,541,563,590,609,616,626,636,643,652,668,683,697,714,728,740,767,776,817,812,831,848,895,957,1013,1043,1080,1124,1175,1246,1331,1293,1256,1215,1179,1143,1116,1101,1081,1071,1066,1083,1104,1118,1139,1163,1190,1255,1315,1385,1433,1497,1497,1448,1398,1369,1355,1327,1279,1238,1205,1170,1141,1126,1109,1067,1013,1004,1015,1029,1044,1075,1113,1140,1136,1173,1200,1222,1242,1270,1298,1341,1346,1329,1306,1264,1219,1168,1111,1099,1040,1031,1056,1086,1128,1213,1271,1254,1227,1195,1154,1122,1085,1067,1047,1037,1016,990,986,974,955,941,991,1009,1037,1041,992,929,881,875,892,841,812,759,728,711,677,651,642,645,675,684,692,724,800,801,771,802,874,923,978,987,978,950,935,916,916,921,931,922,890,843,848,837,808,772,736,693,646,610,585,552,524,517,500,484,466,428,414,412,401,387,374,363,345,332,318,309,301,295,294,296,301,303,305,305,301,299,298,295,294,292,289,289,290,290,288,290,290,290,290,290,291,291,291,291,291,291,291,291,292,292,292,32768,32768,32768,32768,32768,32768,294,294,294,294,294,294,294,295,295,295,296,296,296,296,296,296,296,297,297,297,298,302,297,299,305,298,298,298,298,298,298,298,298,298,298,485,480,513,532,553,577,600,616,625,635,641,650,663,679,692,710,722,739,762,774,810,798,826,843,891,951,1002,1033,1065,1110,1159,1243,1317,1292,1256,1219,1184,1146,1119,1101,1077,1071,1060,1081,1103,1119,1137,1153,1189,1260,1322,1383,1429,1489,1485,1438,1389,1356,1351,1328,1282,1235,1200,1167,1140,1129,1105,1061,1010,1005,1019,1035,1050,1083,1122,1149,1156,1178,1206,1228,1247,1276,1307,1344,1342,1318,1289,1243,1204,1154,1093,1084,1038,1017,1049,1080,1123,1201,1267,1256,1231,1203,1158,1124,1088,1070,1053,1033,1015,996,986,976,954,943,994,1012,1035,1033,987,924,870,856,857,818,788,741,722,701,668,646,636,639,668,669,681,714,781,781,752,811,879,924,977,972,959,932,917,900,902,908,915,900,869,820,826,817,794,761,722,679,638,600,575,548,519,508,494,478,463,420,405,404,393,381,371,359,342,328,316,308,299,294,292,293,298,300,302,301,298,297,296,294,292,290,289,288,289,290,289,290,290,290,291,290,290,290,291,290,291,291,291,291,292,292,292,292,293,32768,32768,32768,293,294,294,294,294,294,294,294,295,295,295,296,296,296,296,296,296,296,297,297,297,300,299,298,300,304,298,298,298,298,298,298,298,298,298,298,508,504,507,501,536,562,588,601,626,636,641,649,661,673,685,700,718,735,750,780,782,787,821,844,891,933,984,1001,1038,1078,1122,1189,1258,1296,1264,1226,1191,1152,1125,1099,1074,1066,1061,1079,1101,1112,1135,1152,1183,1264,1334,1390,1420,1491,1468,1421,1371,1331,1317,1303,1260,1220,1188,1146,1120,1116,1094,1048,1009,1009,1031,1038,1054,1086,1127,1159,1174,1185,1217,1237,1255,1292,1328,1350,1342,1303,1265,1214,1183,1126,1065,1054,1017,994,1037,1078,1113,1177,1251,1258,1244,1219,1167,1133,1098,1076,1056,1045,1010,993,990,982,950,954,999,1022,1034,1012,975,915,858,820,816,781,759,722,708,694,652,639,625,634,650,654,675,720,772,754,741,801,882,928,952,936,925,898,875,869,873,879,885,855,827,779,781,780,762,722,690,646,611,578,558,536,505,494,486,474,469,415,390,389,386,369,360,352,338,326,315,307,299,292,290,290,292,294,295,295,294,293,292,291,290,288,289,289,289,289,290,290,290,290,290,291,290,290,291,291,290,291,292,291,292,292,292,292,293,293,294,32768,32768,293,294,294,294,294,294,295,295,295,295,296,296,296,296,296,296,297,297,297,297,299,297,299,298,298,298,297,298,298,298,298,298,298,297,298,525,523,537,534,515,545,564,595,616,635,641,650,661,673,681,697,712,723,742,763,755,762,800,834,875,920,950,980,1013,1045,1083,1112,1170,1277,1266,1233,1201,1160,1131,1092,1078,1055,1053,1076,1095,1113,1133,1159,1198,1272,1337,1388,1431,1492,1454,1412,1355,1316,1283,1276,1232,1194,1175,1137,1088,1092,1073,1031,1009,1021,1058,1043,1060,1087,1128,1161,1180,1202,1221,1239,1263,1313,1352,1361,1341,1279,1238,1198,1147,1113,1047,1019,996,971,1022,1045,1078,1151,1216,1273,1255,1228,1173,1139,1109,1080,1062,1055,1022,994,988,973,949,966,1012,1032,1022,993,961,898,845,804,788,759,737,721,709,700,649,627,616,626,639,653,684,704,750,723,731,799,874,914,922,901,889,872,846,827,828,837,837,800,766,740,736,733,725,697,659,614,581,556,538,522,501,480,473,476,450,393,380,376,372,364,352,344,335,324,314,307,298,291,289,289,289,290,290,291,291,290,290,290,288,288,289,289,290,290,290,290,290,291,291,291,290,291,291,291,291,291,292,292,292,292,292,293,293,293,293,293,294,294,294,294,294,295,294,295,295,295,296,296,296,296,296,296,296,297,297,297,297,297,297,298,306,297,298,298,298,298,298,298,298,298,298,298,546,543,560,560,542,529,551,571,596,623,640,648,660,672,680,694,705,716,724,734,736,755,776,821,853,884,927,953,985,1005,1039,1070,1115,1238,1268,1239,1207,1169,1136,1091,1070,1053,1047,1072,1095,1101,1132,1165,1200,1279,1341,1392,1436,1481,1429,1393,1349,1306,1272,1234,1230,1174,1136,1119,1083,1066,1043,1014,1013,1038,1070,1053,1066,1102,1130,1161,1183,1208,1236,1249,1278,1329,1364,1373,1347,1279,1231,1172,1122,1078,1023,982,964,959,991,1014,1054,1125,1192,1265,1261,1231,1173,1141,1117,1085,1073,1052,1018,999,1002,964,951,978,1023,1027,992,963,929,876,833,788,755,745,723,717,708,698,653,615,614,615,627,649,662,694,712,692,718,800,861,900,902,876,864,854,834,809,796,780,763,746,718,705,697,685,681,654,627,587,555,534,521,506,487,471,456,441,412,384,371,364,361,355,346,339,330,322,311,304,297,291,291,288,288,288,289,289,289,290,290,287,288,289,288,289,289,290,290,290,290,290,290,290,291,291,291,291,291,291,292,292,292,292,292,293,293,293,293,293,294,293,294,294,295,295,295,295,295,295,296,296,296,296,296,296,296,297,297,297,298,297,298,304,298,298,297,298,298,297,297,297,297,298,298,299,561,552,567,567,559,548,541,564,580,615,634,631,650,671,679,692,700,709,713,738,720,737,781,811,839,872,908,944,974,983,1014,1051,1098,1188,1257,1241,1210,1170,1136,1092,1069,1047,1047,1071,1095,1102,1132,1166,1205,1278,1346,1397,1440,1473,1416,1381,1337,1307,1267,1218,1220,1176,1129,1100,1076,1051,1023,1014,1020,1045,1078,1062,1069,1103,1142,1173,1183,1206,1238,1248,1283,1332,1365,1378,1357,1288,1238,1173,1123,1076,1015,959,946,947,983,1005,1038,1111,1181,1250,1262,1231,1171,1142,1121,1092,1076,1047,1012,999,1003,962,951,981,1021,1006,976,949,920,853,817,772,743,728,717,712,707,687,651,612,611,606,619,643,647,689,684,679,715,795,855,897,897,870,858,851,835,805,792,750,741,726,698,688,678,662,651,629,607,571,546,525,512,498,479,464,444,426,405,384,368,360,357,349,340,336,328,319,311,304,296,292,288,288,288,288,288,289,289,288,289,288,288,289,288,289,289,290,290,290,290,290,291,291,290,291,291,291,291,291,291,292,292,292,293,293,293,293,293,293,294,293,294,294,294,294,295,295,295,295,296,296,296,296,296,296,297,297,297,299,297,297,297,305,301,297,297,298,297,297,297,297,297,297,298,306,583,584,595,598,584,575,562,552,562,592,610,612,626,653,668,679,671,692,722,709,724,758,772,798,821,857,889,918,946,947,980,1018,1064,1101,1198,1240,1213,1175,1129,1090,1066,1042,1052,1065,1089,1097,1127,1170,1220,1293,1348,1405,1456,1452,1395,1362,1313,1281,1264,1208,1183,1174,1143,1087,1046,1029,1032,1021,1032,1056,1093,1085,1075,1106,1138,1177,1197,1215,1244,1251,1287,1339,1360,1378,1363,1290,1242,1184,1136,1090,1023,957,914,929,980,987,1016,1071,1163,1233,1261,1226,1172,1156,1131,1097,1079,1049,1017,1009,997,957,948,978,1007,990,960,934,869,823,791,746,723,686,696,694,695,665,635,608,600,598,605,610,621,672,664,656,696,771,845,860,870,863,844,823,814,779,751,721,701,687,663,655,646,630,604,587,571,546,532,515,499,484,467,452,432,416,402,384,366,355,348,341,334,329,322,314,306,301,292,288,288,288,288,288,288,288,288,287,288,288,289,289,289,289,289,289,290,290,290,291,291,291,291,291,291,291,292,292,292,292,292,292,292,293,293,293,293,293,293,294,294,294,294,295,295,295,295,295,296,296,296,296,296,296,296,296,298,297,297,298,303,297,297,297,298,298,297,297,297,297,297,297,299,335,590,598,610,617,617,608,587,568,575,575,581,592,610,629,639,650,665,675,691,684,726,745,774,796,813,830,865,873,915,909,954,995,1027,1060,1092,1205,1212,1166,1115,1070,1057,1026,1053,1063,1084,1090,1134,1181,1226,1297,1350,1416,1465,1440,1383,1353,1299,1249,1222,1182,1143,1132,1129,1078,1056,1024,1042,1036,1052,1060,1100,1113,1096,1108,1154,1188,1202,1234,1247,1262,1302,1348,1369,1373,1346,1285,1242,1193,1142,1081,1010,947,901,915,965,970,996,1054,1139,1206,1256,1225,1195,1162,1128,1101,1089,1055,1027,1010,995,952,943,967,990,973,947,900,844,786,750,716,691,684,655,672,669,653,632,607,583,589,581,595,622,659,629,629,681,760,822,816,822,816,799,788,760,727,712,689,670,653,630,623,620,605,581,561,549,533,520,504,496,484,453,442,423,404,393,379,364,348,342,334,327,324,316,308,302,295,288,288,288,288,288,287,288,287,288,288,289,289,289,289,289,289,290,290,290,289,290,290,290,291,291,291,291,291,292,292,292,292,292,292,293,293,293,293,293,293,293,294,294,294,294,294,295,295,295,295,295,295,296,296,296,296,298,297,297,296,298,301,297,297,297,297,297,297,297,297,297,298,297,298,313,349,598,609,620,626,632,631,596,581,602,591,590,593,593,604,613,631,645,656,663,673,708,735,761,777,787,812,823,844,869,907,953,966,995,1027,1054,1093,1187,1155,1103,1055,1044,1019,1048,1063,1081,1093,1135,1186,1232,1304,1351,1425,1465,1426,1372,1342,1288,1237,1224,1205,1170,1114,1104,1064,1065,1043,1047,1051,1075,1076,1101,1131,1125,1120,1154,1198,1224,1247,1267,1280,1319,1363,1384,1356,1315,1275,1237,1194,1134,1072,998,940,881,901,931,967,993,1058,1122,1194,1246,1233,1196,1169,1136,1106,1086,1054,1026,1009,988,945,935,951,968,925,890,867,805,753,711,677,671,648,631,653,655,646,616,604,569,571,570,601,627,634,616,614,670,750,772,774,775,770,754,739,715,693,678,662,651,634,608,600,598,586,567,552,543,521,510,512,525,494,430,429,413,395,383,370,357,343,336,329,322,316,310,304,297,288,288,288,288,287,287,288,288,287,289,289,289,289,288,289,289,290,290,290,290,290,290,291,291,291,291,291,291,291,291,292,292,292,292,292,293,293,293,293,293,293,293,294,294,294,295,295,295,295,295,295,295,295,296,296,298,297,296,296,297,297,301,297,296,297,297,297,297,297,297,297,298,301,305,314,341,377,601,613,624,630,635,627,596,588,617,607,603,605,604,603,610,620,634,644,655,669,695,724,747,761,775,791,816,850,856,899,936,954,980,1012,1035,1067,1147,1135,1095,1051,1037,1020,1055,1063,1081,1098,1141,1188,1231,1302,1351,1422,1470,1420,1369,1340,1277,1260,1256,1225,1176,1115,1085,1082,1071,1046,1048,1054,1084,1089,1107,1136,1134,1121,1159,1197,1228,1262,1275,1292,1329,1371,1387,1350,1304,1269,1231,1192,1132,1069,993,932,874,893,938,966,992,1051,1118,1191,1247,1232,1195,1171,1140,1110,1087,1059,1019,1006,986,940,932,944,949,899,871,852,788,731,695,663,660,633,620,637,646,639,612,601,571,557,565,599,632,619,605,612,661,733,752,756,757,745,731,717,701,679,668,652,640,623,603,591,586,577,558,544,531,519,514,526,526,452,418,422,408,389,379,366,354,341,333,326,319,315,309,302,290,288,288,287,287,287,287,287,287,289,289,289,289,289,289,289,289,289,290,290,290,290,290,290,291,291,291,291,291,291,291,292,292,292,292,292,293,293,293,293,293,293,293,294,294,294,294,294,295,295,295,295,295,295,296,297,296,296,296,297,297,300,300,296,296,296,297,297,297,297,297,297,298,301,311,328,356,395,608,620,629,635,642,636,607,606,634,631,627,633,636,641,644,645,642,652,652,660,672,688,721,747,753,792,824,823,849,880,911,927,944,977,996,1021,1051,1078,1074,1031,1000,1026,1058,1082,1089,1113,1142,1188,1232,1295,1352,1420,1471,1413,1373,1338,1316,1305,1279,1242,1189,1147,1110,1101,1077,1041,1047,1076,1091,1099,1111,1140,1154,1143,1170,1205,1234,1273,1294,1312,1347,1385,1390,1343,1296,1251,1218,1180,1126,1057,980,919,858,891,929,951,985,1031,1105,1172,1238,1225,1197,1179,1150,1114,1086,1050,1015,991,982,935,928,935,898,847,824,811,752,701,665,642,635,622,610,613,635,624,603,587,565,547,552,584,613,599,585,601,647,714,719,721,718,709,701,688,677,663,653,638,623,614,598,584,572,558,544,529,522,526,524,507,462,415,401,406,395,381,369,358,346,335,328,321,315,310,305,296,287,287,287,287,287,287,287,287,288,289,289,289,289,289,289,289,289,290,289,290,290,290,291,290,291,291,291,292,291,291,292,292,292,292,292,293,292,293,293,293,294,293,293,294,294,294,294,294,295,295,295,295,295,297,296,296,296,297,296,297,299,296,296,296,296,297,297,297,297,297,297,297,298,300,326,349,392,430,614,626,637,644,649,648,628,616,654,656,656,658,655,657,661,670,668,674,679,681,685,689,702,726,745,772,801,819,839,860,891,898,920,944,953,975,1005,1032,1028,1014,978,1022,1054,1083,1094,1106,1140,1196,1242,1299,1360,1436,1473,1418,1372,1352,1335,1290,1258,1218,1180,1139,1122,1096,1066,1039,1055,1082,1110,1121,1122,1153,1170,1164,1174,1214,1244,1278,1306,1337,1363,1391,1388,1337,1288,1242,1207,1175,1115,1048,967,901,846,874,907,940,960,1012,1082,1160,1221,1221,1201,1185,1155,1108,1074,1052,1012,992,974,931,920,919,867,809,778,761,715,670,644,626,613,611,593,598,616,617,590,576,548,538,545,574,571,579,566,594,651,700,699,696,684,682,677,673,664,653,645,630,616,604,585,583,555,535,524,512,506,497,479,460,429,395,387,387,381,370,361,348,340,328,322,315,311,307,301,287,287,287,287,288,288,288,289,289,288,289,289,289,289,290,289,290,290,290,290,290,290,290,290,290,291,291,291,291,292,291,292,292,292,292,293,293,293,293,293,293,294,293,293,294,294,294,294,294,295,295,295,297,296,296,295,297,297,298,298,296,296,296,296,296,296,297,297,297,297,297,297,297,299,319,352,372,410,462,618,630,641,647,652,655,645,619,657,659,661,666,665,671,670,674,675,679,685,692,698,700,698,718,741,775,791,816,825,849,872,884,907,928,932,950,995,1011,1011,1002,971,1011,1052,1081,1097,1108,1144,1202,1247,1304,1365,1444,1473,1422,1376,1364,1331,1279,1246,1204,1172,1152,1134,1104,1072,1038,1056,1084,1114,1129,1131,1158,1179,1178,1183,1209,1242,1278,1311,1346,1370,1396,1387,1335,1283,1238,1203,1169,1105,1040,960,897,840,860,898,939,953,1008,1079,1160,1222,1219,1201,1189,1155,1104,1071,1056,1015,993,973,931,899,908,847,792,757,736,700,656,635,619,606,597,584,588,609,607,585,568,545,532,541,564,559,573,561,590,653,694,691,689,679,676,675,669,660,644,636,622,614,606,571,565,542,526,512,497,489,481,460,440,414,384,380,379,375,365,356,345,334,325,319,312,309,305,297,288,286,287,287,287,287,289,289,289,288,289,289,289,289,289,289,290,290,290,290,290,290,291,290,290,291,291,291,291,291,292,292,292,292,292,293,293,293,293,293,293,294,294,294,294,294,294,294,294,295,295,297,295,296,295,296,296,298,298,296,296,296,296,296,296,296,296,297,297,297,297,297,297,305,339,373,400,419,478,624,638,649,655,659,660,662,636,665,668,669,674,680,687,692,694,687,692,700,705,716,718,702,713,720,771,777,780,798,819,832,853,883,893,888,909,938,986,979,956,1001,1021,1057,1094,1106,1120,1155,1211,1252,1311,1371,1458,1479,1434,1406,1379,1336,1295,1267,1233,1200,1165,1138,1105,1061,1036,1052,1084,1118,1135,1153,1175,1194,1205,1209,1221,1257,1282,1320,1353,1387,1405,1386,1327,1275,1232,1196,1157,1078,1014,948,885,824,844,894,924,940,989,1070,1153,1218,1210,1202,1192,1160,1098,1074,1050,1025,991,965,918,829,801,771,758,722,702,666,629,617,608,597,580,568,577,595,581,573,555,540,524,532,552,553,544,554,578,646,675,678,680,678,674,674,677,647,626,622,617,603,587,564,544,531,520,492,467,456,444,423,400,372,361,367,367,362,355,347,336,327,319,313,306,304,300,286,287,286,287,288,288,288,289,289,289,289,289,289,289,289,289,290,290,290,290,290,291,290,291,291,291,291,291,291,291,292,292,292,292,292,292,292,293,293,293,293,293,293,294,294,294,294,294,294,295,296,295,295,295,295,296,298,297,296,296,296,296,295,296,295,296,296,296,297,297,297,297,297,305,345,380,428,444,430,511,630,644,655,660,665,667,670,641,675,677,679,683,689,695,701,708,707,700,723,713,739,744,727,729,720,752,757,760,774,792,807,828,855,851,869,880,892,930,936,977,1005,1032,1066,1093,1119,1131,1163,1215,1257,1314,1376,1464,1485,1444,1430,1394,1349,1307,1278,1236,1200,1159,1133,1089,1050,1042,1051,1088,1114,1133,1161,1189,1205,1223,1226,1254,1275,1298,1331,1363,1403,1414,1382,1326,1270,1228,1197,1154,1083,1009,928,865,811,839,880,898,919,977,1060,1144,1201,1198,1162,1181,1144,1104,1088,1053,1024,988,903,807,760,753,717,707,682,663,633,608,599,595,578,568,555,559,576,559,558,544,530,514,523,544,540,528,546,572,631,662,668,669,680,677,672,654,633,598,590,584,573,560,553,554,533,520,494,455,425,421,391,361,344,351,355,355,350,343,337,331,320,313,307,301,298,296,286,286,288,287,287,288,288,289,289,289,289,289,289,289,289,289,291,289,290,290,291,291,291,291,291,291,291,291,291,292,292,292,292,292,292,292,293,293,293,293,293,293,294,294,294,294,294,294,295,295,295,295,295,295,297,297,296,296,296,296,296,295,296,296,296,296,296,296,297,297,297,297,305,349,384,419,450,471,485,514,634,648,660,665,671,675,679,664,682,687,689,695,701,708,712,719,724,721,714,725,742,755,756,742,742,737,747,780,804,828,842,844,849,874,889,908,924,955,991,1016,1017,1049,1072,1109,1131,1146,1174,1222,1262,1319,1385,1470,1491,1450,1426,1392,1328,1282,1256,1220,1190,1149,1118,1071,1050,1057,1047,1081,1104,1124,1155,1185,1207,1229,1249,1267,1286,1311,1345,1376,1419,1423,1385,1324,1271,1225,1193,1152,1074,995,914,850,799,831,866,887,909,972,1054,1128,1176,1169,1119,1093,1087,1101,1055,972,910,917,839,768,719,685,666,655,649,631,607,584,579,574,565,558,545,538,554,543,544,534,518,507,516,523,530,519,536,559,616,641,650,656,678,673,667,640,618,594,572,560,559,555,542,527,523,487,486,421,367,377,353,336,335,339,343,343,339,335,329,321,313,308,302,295,293,292,286,288,288,287,288,288,289,289,289,289,289,287,289,289,290,290,290,292,290,290,291,291,291,291,291,291,292,292,291,292,292,292,292,292,292,292,293,293,293,293,293,293,294,294,294,294,296,295,294,294,295,296,298,295,295,295,295,296,296,296,295,296,296,296,296,296,296,296,297,297,297,302,345,388,420,448,478,503,516,525,636,650,662,668,675,679,683,678,678,692,695,702,708,713,718,726,732,734,721,738,737,757,766,755,752,737,759,795,816,850,865,853,869,887,902,923,943,986,1010,1038,1033,1050,1068,1105,1133,1151,1181,1227,1265,1321,1388,1474,1488,1442,1418,1391,1329,1274,1239,1207,1179,1142,1106,1058,1063,1066,1047,1076,1102,1121,1144,1182,1206,1230,1250,1266,1284,1317,1351,1385,1429,1426,1385,1324,1268,1222,1192,1150,1075,992,909,844,795,823,858,874,905,978,1049,1118,1134,1150,1117,1062,1024,1075,1022,971,889,876,803,749,706,670,645,631,630,616,595,574,572,560,560,557,543,533,545,539,539,530,513,503,512,515,525,513,531,547,605,628,638,649,667,668,661,634,613,584,566,558,556,543,535,519,517,470,459,403,365,361,339,330,331,335,338,338,334,328,324,318,311,305,299,293,291,289,287,287,287,287,288,288,289,289,289,289,289,288,288,289,290,290,290,292,290,290,291,291,291,291,291,291,292,292,291,292,292,292,292,292,293,292,293,293,293,293,293,293,294,294,294,295,295,294,294,294,296,298,296,295,295,295,295,296,296,296,296,295,296,296,296,296,296,296,297,297,299,324,366,403,434,460,490,514,526,550,641,654,668,676,683,686,689,692,675,704,707,712,720,726,730,737,746,753,747,735,759,752,774,775,770,783,801,822,851,882,900,881,905,918,929,953,980,1017,1052,1058,1039,1064,1095,1105,1136,1151,1193,1238,1273,1326,1399,1477,1475,1422,1391,1367,1332,1283,1245,1197,1150,1123,1087,1051,1084,1083,1069,1067,1091,1107,1137,1174,1201,1225,1239,1260,1283,1316,1354,1394,1440,1436,1381,1312,1253,1206,1175,1132,1051,985,904,837,781,804,839,845,886,960,1028,1093,1088,1114,1073,1039,967,932,945,960,870,836,782,713,675,641,609,592,593,585,569,554,545,544,549,550,534,521,527,527,532,535,500,490,502,503,510,503,517,530,585,603,612,629,647,650,641,617,593,576,571,549,513,512,510,481,443,420,394,368,354,347,334,328,326,328,328,327,325,319,315,310,305,298,294,289,286,286,287,287,287,287,288,288,288,289,289,289,289,289,288,288,290,290,290,290,32768,32768,290,291,291,291,291,292,292,292,292,292,292,292,292,293,293,293,293,293,293,293,293,293,294,294,295,294,294,294,295,298,295,295,295,295,295,295,295,296,296,296,296,296,296,296,296,296,296,297,297,299,324,360,392,434,460,483,507,528,544,569,646,661,678,685,690,692,696,701,676,717,719,724,730,736,741,748,755,760,764,742,775,778,773,796,799,793,833,850,879,906,930,922,938,948,964,991,1023,1065,1111,1069,1053,1082,1112,1118,1141,1168,1204,1249,1281,1334,1412,1472,1467,1416,1376,1333,1302,1269,1240,1192,1145,1104,1068,1079,1102,1099,1082,1068,1087,1103,1135,1171,1190,1207,1231,1253,1277,1314,1353,1396,1441,1444,1378,1293,1234,1190,1161,1083,1012,963,894,829,774,779,808,832,877,936,1007,1008,1045,1080,1028,979,925,879,851,838,837,769,746,680,642,615,581,570,562,559,547,533,529,526,528,527,510,508,514,515,518,515,493,491,495,495,496,492,497,508,543,583,594,612,623,622,614,601,592,575,545,498,475,474,449,418,396,378,363,348,343,342,336,330,324,322,321,318,316,312,307,302,298,293,290,286,287,286,287,287,287,287,288,288,288,288,289,289,290,289,288,289,288,290,290,290,32768,32768,291,291,291,292,292,292,292,292,292,292,292,293,293,293,293,293,292,293,293,293,293,293,295,293,293,293,295,297,294,294,295,295,295,295,295,295,295,295,296,296,296,296,296,296,296,296,297,297,300,319,359,393,420,452,479,497,518,541,557,584,652,671,684,690,694,698,705,710,702,721,728,735,743,746,749,756,766,772,777,757,767,798,800,802,823,815,852,872,908,942,960,960,971,985,1001,1032,1079,1149,1129,1073,1088,1089,1115,1131,1151,1174,1217,1261,1291,1343,1422,1472,1449,1413,1378,1337,1280,1246,1234,1184,1129,1076,1065,1099,1124,1114,1084,1072,1076,1100,1136,1161,1179,1201,1220,1250,1277,1312,1350,1389,1440,1450,1378,1283,1217,1153,1122,1090,1001,943,874,823,779,764,786,825,860,909,936,956,993,1043,1020,993,878,834,809,774,767,760,700,652,609,590,559,549,545,535,526,514,515,506,510,503,489,496,497,501,504,492,482,480,485,485,486,481,482,489,513,546,567,590,606,608,607,610,588,544,510,459,429,412,399,384,369,360,349,340,335,335,331,326,323,320,312,310,307,305,300,295,291,289,287,287,286,286,287,287,287,288,288,288,288,288,289,289,289,290,289,288,288,290,290,291,290,290,32768,291,292,292,292,292,292,292,292,292,292,293,293,293,293,293,293,292,293,293,295,293,293,293,294,297,294,294,294,294,294,294,294,294,294,295,295,295,295,295,295,296,296,296,296,296,299,317,324,353,395,414,444,473,497,513,533,560,584,617,657,675,687,691,696,702,709,715,716,717,730,741,751,752,754,761,771,777,784,767,765,794,813,800,833,832,861,883,920,962,976,977,990,1007,1022,1055,1119,1160,1133,1096,1091,1101,1115,1136,1159,1183,1226,1269,1292,1346,1424,1458,1435,1406,1378,1340,1284,1231,1217,1178,1124,1067,1086,1109,1136,1121,1083,1078,1084,1094,1127,1161,1171,1200,1220,1250,1272,1307,1349,1384,1440,1458,1379,1288,1221,1151,1100,1072,1004,947,874,815,773,762,788,820,849,887,907,927,959,978,966,957,866,817,789,751,732,754,689,637,592,576,551,540,537,525,515,507,507,499,501,490,479,487,490,493,495,483,475,477,481,480,479,477,477,480,503,527,546,563,569,573,594,595,563,531,507,441,413,400,387,375,365,355,346,335,332,332,329,327,322,316,309,306,304,301,297,292,289,287,286,287,285,286,287,287,287,288,288,288,288,289,289,289,289,290,290,288,289,290,291,291,290,290,32768,291,292,292,292,292,292,292,292,292,293,293,293,293,293,293,293,293,293,295,293,293,294,295,297,294,294,294,294,294,294,294,295,294,295,295,295,295,295,295,295,296,296,296,296,296,304,329,336,367,403,424,455,481,503,519,543,575,596,634,666,680,689,694,700,708,716,721,725,702,732,751,762,765,765,769,777,784,795,797,781,786,828,813,839,865,886,906,948,998,1008,1015,1024,1049,1066,1124,1201,1164,1135,1120,1111,1129,1127,1149,1181,1206,1244,1280,1304,1365,1432,1432,1407,1380,1366,1340,1282,1233,1193,1168,1124,1085,1101,1128,1149,1127,1082,1087,1102,1102,1114,1141,1162,1186,1220,1253,1273,1305,1341,1377,1453,1440,1377,1288,1227,1162,1095,1021,980,945,872,809,754,746,770,805,826,850,865,885,903,913,896,861,830,782,752,720,683,668,633,613,575,556,533,525,523,513,502,490,488,484,484,474,468,473,476,473,473,469,468,469,470,469,470,467,464,463,474,502,511,525,526,526,531,535,527,508,453,411,394,387,372,365,359,349,338,327,326,327,327,326,319,309,301,299,297,294,291,287,285,285,286,286,285,287,287,287,287,288,288,288,288,289,289,289,289,290,290,290,290,290,290,291,291,32768,32768,292,292,292,292,292,292,292,292,293,293,293,293,293,293,293,293,295,292,293,293,294,297,294,294,294,294,294,294,294,294,294,294,294,294,295,294,294,295,295,295,295,296,296,296,299,327,348,369,394,421,440,472,497,518,538,559,599,627,692,674,685,692,695,702,710,719,724,727,725,724,747,763,767,769,775,781,788,803,815,809,792,824,841,836,886,898,931,974,1028,1042,1041,1061,1096,1130,1204,1225,1173,1153,1138,1130,1136,1156,1169,1203,1224,1258,1297,1326,1399,1440,1426,1392,1351,1333,1313,1276,1245,1206,1156,1117,1082,1110,1138,1153,1122,1083,1104,1120,1131,1110,1145,1171,1193,1223,1240,1262,1290,1323,1365,1440,1415,1379,1286,1211,1137,1085,1032,955,903,858,797,739,737,767,813,807,808,828,844,855,855,843,816,781,746,717,693,659,616,588,587,564,541,527,509,509,510,486,475,476,470,467,460,454,459,461,458,458,461,454,464,461,461,460,456,455,452,447,459,475,484,493,491,485,479,459,432,409,393,380,371,368,362,353,344,329,327,325,321,321,316,302,296,293,292,291,288,285,286,32768,285,285,286,287,286,287,287,287,288,288,288,289,289,289,289,289,290,290,290,290,290,291,291,291,291,32768,32768,292,292,293,293,293,293,292,293,293,293,293,293,293,295,292,292,293,295,296,294,293,293,293,294,294,294,294,294,294,294,295,295,294,294,295,295,295,295,295,295,295,296,298,320,342,367,386,413,437,459,487,510,536,562,592,629,669,722,682,689,693,695,701,709,719,724,729,729,723,733,757,764,767,774,785,796,813,826,836,822,817,865,850,886,919,954,998,1045,1080,1074,1103,1148,1193,1273,1229,1185,1172,1150,1153,1148,1173,1197,1223,1244,1279,1315,1350,1431,1453,1421,1398,1352,1300,1274,1254,1225,1197,1156,1125,1086,1123,1146,1146,1119,1092,1118,1141,1157,1133,1139,1164,1188,1212,1226,1246,1276,1309,1352,1422,1386,1354,1286,1206,1133,1078,1008,954,895,825,781,728,725,768,804,781,785,802,816,818,810,794,764,725,710,690,663,639,604,574,564,551,536,513,501,493,496,472,464,463,453,457,457,442,445,445,445,448,454,440,457,456,454,452,446,445,443,436,436,449,451,452,445,436,426,412,395,386,378,370,364,362,359,351,342,334,331,324,312,306,300,292,287,288,289,286,285,285,286,286,286,287,286,286,287,287,287,287,287,288,288,288,289,289,289,289,289,290,290,290,290,291,291,291,292,290,32768,293,292,293,293,293,293,292,293,293,293,293,295,292,292,292,294,296,294,294,294,294,294,294,294,294,294,294,294,294,295,295,294,295,295,295,295,295,295,295,295,296,297,311,331,360,385,405,426,451,470,500,532,572,598,624,673,712,748,684,690,693,695,700,709,719,726,731,732,729,729,751,759,764,775,786,797,814,828,840,842,821,865,859,901,934,962,1006,1054,1093,1096,1125,1176,1245,1282,1231,1192,1181,1159,1160,1155,1180,1209,1237,1255,1292,1328,1364,1449,1457,1420,1392,1351,1301,1260,1236,1206,1185,1154,1118,1100,1128,1143,1138,1118,1101,1123,1150,1173,1151,1148,1164,1187,1210,1225,1246,1272,1304,1349,1411,1375,1340,1283,1213,1143,1084,1017,942,889,824,765,719,720,756,793,768,776,792,802,803,790,773,747,708,693,676,651,628,598,571,554,545,529,510,500,486,486,468,456,459,449,455,452,436,440,436,439,444,450,441,453,453,450,449,441,441,439,432,429,432,431,428,422,419,409,397,385,382,373,365,361,361,357,350,342,338,332,317,306,301,296,287,286,287,286,285,285,285,286,287,287,287,287,287,287,286,287,287,287,288,288,288,288,289,289,289,290,290,290,291,291,291,291,32768,289,291,32768,32768,292,293,293,293,293,292,293,293,293,294,292,292,293,294,295,295,294,294,294,294,294,294,294,293,294,294,294,294,294,294,295,295,295,295,295,295,295,295,295,296,301,319,343,367,394,411,434,460,478,509,547,588,613,645,687,725,758,682,687,690,692,699,713,724,730,738,745,742,732,738,746,758,777,789,800,816,832,847,861,848,864,889,911,959,978,1023,1068,1112,1138,1176,1237,1320,1302,1242,1207,1191,1177,1175,1174,1202,1230,1268,1290,1319,1356,1400,1464,1470,1425,1383,1341,1292,1259,1209,1164,1145,1131,1103,1125,1141,1142,1130,1117,1109,1137,1169,1196,1168,1159,1178,1186,1203,1226,1250,1285,1303,1344,1390,1358,1330,1263,1198,1150,1105,1031,956,889,818,767,730,704,738,776,750,749,764,775,775,758,735,722,682,662,650,630,607,583,564,542,528,520,503,491,472,473,459,441,448,442,447,440,427,428,427,432,439,444,441,444,446,440,438,434,431,430,426,420,411,406,403,402,399,393,387,380,370,362,359,360,355,351,343,341,337,326,314,301,291,286,286,286,286,285,285,286,286,286,287,286,287,287,287,287,287,287,286,288,288,288,288,289,289,289,289,290,290,290,290,291,291,290,289,289,291,32768,32768,294,293,293,293,293,293,293,294,292,292,292,293,295,295,293,294,294,294,294,294,294,295,295,295,295,295,294,294,294,294,294,295,295,295,295,295,295,295,296,301,320,329,362,381,411,427,453,487,516,546,579,614,639,675,723,746,776,664,684,687,690,696,716,731,738,750,758,756,742,736,741,750,771,788,801,818,833,854,871,878,869,888,927,961,1000,1038,1082,1129,1168,1224,1316,1352,1315,1252,1224,1202,1184,1192,1194,1221,1256,1301,1325,1346,1392,1441,1479,1473,1421,1392,1335,1286,1252,1231,1203,1182,1146,1099,1140,1165,1152,1134,1131,1122,1154,1189,1210,1184,1179,1191,1200,1213,1232,1264,1300,1311,1346,1373,1342,1322,1258,1198,1124,1063,1007,938,884,816,759,709,689,736,755,734,730,738,745,748,731,707,698,659,638,626,608,588,569,562,540,516,507,494,482,459,458,445,435,439,433,435,431,417,417,422,426,432,437,428,439,440,436,431,428,425,423,419,412,406,401,395,391,389,387,375,366,363,359,356,354,346,344,340,337,334,318,306,290,285,285,286,285,285,286,286,286,286,286,286,286,286,286,287,287,287,287,287,288,288,288,288,289,289,289,289,290,290,290,291,291,32768,289,289,289,290,292,32768,32768,293,293,294,293,294,293,292,291,293,294,296,293,294,294,294,294,294,294,294,295,295,295,295,295,295,295,295,294,294,295,295,295,295,295,295,295,295,298,315,334,358,372,402,431,454,490,530,560,586,609,638,661,703,748,774,806,658,682,686,689,694,717,734,743,756,764,764,751,740,742,750,766,783,801,818,834,854,872,892,885,897,928,970,999,1039,1088,1136,1178,1244,1341,1360,1319,1255,1226,1205,1195,1200,1204,1233,1266,1315,1342,1366,1412,1464,1495,1469,1419,1387,1333,1292,1272,1252,1219,1187,1146,1103,1149,1171,1153,1141,1138,1130,1163,1193,1213,1194,1189,1199,1210,1221,1244,1275,1306,1322,1348,1367,1336,1316,1257,1202,1133,1062,985,920,869,805,751,707,684,733,745,728,725,733,733,732,724,698,688,650,630,616,598,580,563,554,535,514,499,490,479,457,449,439,432,435,426,429,427,415,413,420,424,429,435,427,436,436,434,430,426,422,420,416,410,404,399,394,389,384,381,370,365,363,360,355,350,345,344,339,336,329,311,300,286,285,285,286,285,285,285,286,286,286,286,286,286,286,286,286,287,287,286,287,288,288,288,288,289,289,289,289,290,290,290,291,290,32768,289,32768,291,290,291,32768,32768,293,293,294,294,293,291,291,292,294,296,293,294,294,294,294,294,294,294,294,295,295,295,295,295,295,295,295,295,294,295,295,295,295,295,295,296,295,305,323,346,370,393,414,444,470,513,552,576,602,624,648,674,716,761,790,823,640,664,684,688,693,715,741,756,769,778,779,765,752,746,751,763,777,796,816,833,853,868,889,907,925,947,987,1021,1065,1099,1150,1193,1268,1382,1375,1315,1260,1229,1214,1211,1219,1226,1260,1296,1331,1370,1407,1454,1510,1530,1469,1430,1402,1358,1324,1298,1263,1224,1191,1144,1117,1158,1172,1159,1158,1153,1154,1161,1191,1213,1215,1215,1225,1230,1240,1270,1301,1318,1343,1354,1350,1326,1303,1245,1176,1129,1077,991,924,872,811,751,696,677,722,721,715,718,710,709,709,705,688,665,642,619,605,583,567,553,540,526,514,494,471,464,447,432,427,430,426,415,416,416,408,408,414,418,424,427,422,430,429,427,424,419,417,414,409,405,399,396,391,385,379,372,368,367,368,361,350,344,343,340,334,330,313,300,289,285,285,285,285,284,285,285,286,285,286,286,286,286,286,286,286,286,287,286,287,288,288,288,288,289,289,289,290,290,290,290,291,291,32768,289,291,291,292,292,292,292,292,294,292,291,291,292,294,295,294,294,294,294,294,294,295,294,294,294,295,295,295,295,295,295,295,295,295,295,294,294,295,295,295,295,295,295,313,329,354,386,408,428,450,479,512,551,587,608,641,658,675,702,748,798,821,834,638,670,685,688,694,708,739,763,779,794,792,776,763,753,754,766,779,793,808,824,842,858,880,906,923,954,993,1032,1087,1127,1163,1207,1286,1413,1395,1311,1262,1238,1224,1229,1243,1253,1283,1327,1365,1391,1438,1491,1533,1534,1480,1451,1436,1385,1335,1301,1261,1217,1185,1150,1117,1163,1166,1168,1177,1176,1177,1180,1199,1222,1232,1231,1246,1256,1265,1292,1327,1336,1355,1356,1347,1317,1293,1242,1173,1117,1058,965,903,869,808,750,690,668,707,708,696,708,705,689,679,674,664,649,628,613,597,574,558,543,530,524,503,481,465,445,432,421,423,423,417,405,404,400,400,403,409,413,417,421,411,422,423,420,419,414,411,407,402,399,394,390,385,381,379,373,371,373,368,353,344,340,337,325,320,313,298,287,285,285,285,285,284,285,285,286,286,286,285,286,286,286,286,286,286,287,286,287,288,288,288,288,288,289,289,289,290,290,290,290,291,291,291,292,292,292,293,291,292,294,294,291,291,291,294,295,295,293,294,294,294,294,295,295,295,294,294,295,295,295,295,295,296,296,295,295,295,295,295,294,294,295,295,295,296,319,345,364,390,421,436,462,486,514,554,591,622,645,670,676,703,738,781,790,792,789,624,673,689,690,695,707,732,751,783,805,799,785,769,757,756,768,780,789,808,822,839,854,880,910,930,969,1010,1042,1096,1146,1184,1223,1303,1419,1399,1315,1270,1249,1237,1242,1260,1283,1288,1348,1395,1425,1480,1544,1568,1545,1514,1489,1439,1378,1326,1293,1250,1226,1202,1157,1121,1160,1162,1173,1192,1201,1211,1222,1218,1242,1248,1243,1264,1280,1291,1319,1347,1363,1367,1355,1338,1310,1288,1228,1166,1117,1049,967,894,848,790,741,687,653,674,690,675,693,692,678,663,648,627,622,618,603,584,560,541,526,514,504,485,465,457,445,421,417,412,412,407,398,395,392,392,398,404,408,410,412,408,417,418,414,413,408,405,403,397,393,389,384,381,378,376,374,372,368,367,349,335,333,315,316,309,303,285,285,285,285,285,285,285,284,285,285,285,286,286,286,286,286,286,286,286,286,287,287,288,288,288,289,289,288,289,289,290,290,291,291,291,291,291,292,292,292,293,294,293,291,290,291,293,295,295,293,32768,295,295,295,295,295,295,295,295,295,295,295,295,295,295,295,296,296,296,295,296,295,296,295,294,295,295,301,322,356,384,404,430,459,467,495,524,560,594,626,649,671,689,688,721,750,766,763,761,754,636,670,692,691,695,708,733,749,782,807,800,787,769,759,757,768,779,786,810,829,848,856,889,917,937,971,1014,1049,1100,1149,1196,1236,1315,1410,1398,1313,1275,1254,1245,1251,1272,1293,1303,1352,1406,1442,1502,1560,1586,1565,1527,1496,1441,1380,1327,1293,1265,1231,1201,1158,1125,1156,1156,1171,1198,1215,1235,1237,1232,1248,1257,1257,1273,1290,1308,1337,1359,1377,1370,1351,1335,1306,1284,1221,1150,1102,1047,978,894,845,787,734,689,658,652,675,662,683,681,676,656,633,613,610,607,592,575,553,532,517,503,496,476,456,455,449,421,419,410,405,403,394,392,388,389,395,402,405,407,409,409,415,413,411,409,406,402,400,395,390,386,382,379,377,372,366,363,366,360,339,334,330,311,314,306,298,285,285,285,285,285,285,285,284,285,285,285,285,286,286,286,286,286,286,286,286,287,287,288,288,288,288,289,289,289,289,290,290,291,291,291,291,292,292,292,292,292,294,290,290,290,293,294,294,294,32768,32768,294,295,295,295,295,295,295,295,295,295,295,296,295,296,296,296,296,296,296,296,296,296,296,295,295,295,315,339,376,404,423,457,474,481,507,543,582,609,635,660,681,692,682,714,733,751,750,744,736,621,663,698,694,694,711,738,761,791,812,806,789,770,760,758,767,774,781,802,830,855,872,893,920,935,969,1006,1044,1097,1145,1198,1243,1308,1407,1395,1320,1283,1261,1264,1271,1300,1321,1343,1360,1419,1464,1540,1586,1609,1591,1561,1497,1440,1382,1337,1311,1271,1231,1201,1148,1150,1138,1152,1170,1205,1234,1264,1269,1241,1262,1274,1294,1300,1319,1342,1382,1390,1397,1365,1343,1309,1275,1249,1197,1125,1070,1019,954,894,849,787,736,702,682,657,621,632,667,663,659,645,621,594,578,580,567,549,533,516,499,484,475,461,450,453,442,430,424,410,400,398,385,385,382,385,390,394,397,400,395,407,408,406,403,402,399,396,395,390,385,379,376,373,369,363,355,345,338,336,325,324,314,308,307,296,285,284,284,285,285,285,285,285,284,285,285,285,285,286,286,286,286,286,286,286,287,287,288,288,288,288,289,289,289,289,290,290,290,291,291,291,291,291,291,292,293,290,290,290,292,294,293,295,293,32768,32768,291,291,295,295,295,295,295,295,295,295,295,296,296,296,296,296,296,296,296,296,296,296,296,296,296,297,323,350,377,412,442,464,489,494,502,534,573,608,620,641,663,672,676,667,680,695,713,713,710,700,605,658,693,693,695,713,736,756,795,823,810,793,773,765,760,767,773,779,796,820,850,871,899,925,945,975,1012,1041,1091,1144,1199,1240,1301,1396,1373,1329,1294,1277,1279,1294,1328,1352,1379,1388,1428,1501,1562,1607,1616,1618,1569,1501,1455,1392,1337,1306,1262,1213,1185,1159,1166,1137,1150,1172,1207,1240,1277,1294,1270,1279,1293,1319,1330,1352,1375,1420,1412,1394,1354,1330,1288,1253,1227,1185,1123,1064,1014,946,886,845,794,742,688,657,653,592,634,654,651,633,624,615,578,563,547,550,535,508,497,483,469,461,451,446,443,432,429,424,405,398,396,375,379,376,381,384,387,390,394,392,400,401,400,399,397,394,390,391,387,382,376,371,365,360,355,348,337,336,329,320,315,312,306,300,289,284,284,284,284,285,285,285,285,284,285,285,285,285,286,286,286,286,286,286,287,287,287,287,288,288,288,289,289,289,290,290,290,290,291,291,291,292,291,293,290,290,290,293,293,294,294,293,293,32768,32768,291,291,294,295,295,295,295,295,295,296,296,296,296,296,296,296,296,296,296,296,296,296,296,296,297,300,329,353,394,413,445,471,491,503,509,521,559,593,609,617,624,632,644,648,653,655,664,668,671,672,666,598,634,686,691,697,710,730,753,790,831,814,793,779,772,767,766,773,780,796,817,841,864,890,926,949,980,1015,1046,1090,1136,1185,1227,1290,1374,1349,1334,1305,1291,1292,1318,1357,1387,1417,1427,1448,1513,1559,1597,1609,1615,1555,1472,1430,1378,1329,1290,1260,1222,1194,1192,1179,1150,1163,1173,1206,1237,1283,1309,1302,1300,1310,1339,1358,1389,1416,1435,1411,1385,1350,1320,1271,1239,1216,1176,1108,1049,1004,943,880,837,786,736,686,651,616,570,606,632,649,615,599,589,556,549,533,541,528,490,484,472,458,445,441,437,433,424,421,412,396,390,380,368,368,369,374,378,381,384,387,386,393,394,393,392,391,388,384,386,382,379,373,369,363,357,352,344,337,330,326,321,315,311,306,300,292,284,284,284,284,285,285,285,284,285,285,285,285,286,286,285,286,286,286,286,287,287,287,288,287,288,289,289,289,289,289,289,290,290,291,291,291,293,289,289,290,292,292,293,293,295,292,32768,32768,291,291,291,294,295,296,296,296,296,296,295,295,296,296,296,296,296,296,297,296,296,296,296,296,297,297,297,318,350,391,423,442,468,491,504,516,520,539,567,582,588,594,608,623,628,626,621,624,627,637,651,651,637,610,641,679,690,698,710,729,748,787,834,816,791,779,774,768,765,772,780,796,816,838,860,886,924,947,978,1013,1041,1085,1131,1179,1221,1284,1361,1334,1332,1307,1294,1298,1327,1370,1404,1439,1448,1480,1534,1567,1602,1609,1618,1556,1473,1426,1371,1327,1298,1259,1210,1191,1208,1182,1153,1164,1186,1199,1238,1284,1314,1313,1309,1317,1349,1370,1407,1448,1441,1408,1382,1345,1315,1261,1232,1212,1166,1098,1035,991,936,876,835,786,742,693,656,618,573,586,619,638,616,592,580,549,543,530,534,520,486,476,466,453,439,436,433,427,420,413,404,390,382,371,364,364,366,370,374,378,381,384,385,391,390,390,388,389,385,382,384,379,376,372,367,362,355,350,344,338,331,327,321,315,310,305,300,291,284,284,285,284,284,285,285,284,285,285,285,285,286,286,285,286,287,287,286,287,287,287,288,288,288,289,289,289,289,289,290,290,290,290,290,292,289,289,289,292,292,292,294,295,293,32768,32768,32768,291,291,291,295,295,296,296,296,296,296,296,296,296,296,296,296,296,297,296,297,296,296,296,296,297,297,299,327,367,407,434,454,475,496,510,519,528,543,565,571,577,590,604,610,611,611,609,608,606,622,650,648,630,603,656,677,690,698,710,729,747,782,835,817,789,775,774,771,765,771,778,796,815,837,856,887,918,940,969,996,1028,1073,1117,1168,1210,1274,1344,1302,1316,1302,1291,1301,1341,1393,1436,1475,1493,1550,1560,1608,1623,1617,1623,1552,1477,1432,1376,1326,1295,1265,1238,1240,1224,1183,1160,1173,1201,1235,1234,1287,1325,1346,1328,1328,1364,1394,1440,1489,1454,1416,1383,1348,1292,1248,1216,1196,1146,1070,1011,967,920,866,825,779,745,710,677,632,586,531,599,611,600,580,563,543,530,518,515,503,475,456,451,441,439,422,413,415,413,399,390,377,360,361,358,359,362,364,368,372,375,376,381,384,382,384,382,382,380,376,378,375,371,367,363,359,353,349,344,338,332,327,321,315,311,304,298,290,285,284,284,284,285,285,284,284,284,285,285,285,286,285,286,286,286,287,287,287,288,288,288,288,288,288,288,289,289,290,290,290,291,293,290,289,289,290,292,292,293,293,294,292,32768,32768,32768,32768,291,32768,293,295,295,295,296,296,296,296,296,296,296,296,296,297,297,297,297,297,297,297,297,297,297,297,318,352,403,428,450,466,485,506,517,523,532,543,546,545,559,566,577,581,580,577,569,566,567,586,612,621,608,595,645,683,691,699,712,733,755,787,827,812,789,774,771,771,767,771,775,792,808,833,854,880,911,930,947,987,1010,1057,1104,1154,1196,1261,1306,1267,1289,1290,1283,1299,1349,1409,1466,1511,1554,1583,1609,1643,1639,1631,1624,1553,1485,1437,1387,1343,1323,1297,1274,1262,1225,1183,1170,1181,1213,1267,1266,1293,1333,1360,1348,1349,1373,1409,1470,1496,1460,1429,1393,1346,1276,1229,1196,1161,1128,1062,1000,952,897,851,814,769,740,716,686,652,592,527,564,584,573,567,546,530,525,512,496,481,457,448,440,434,423,404,396,399,402,388,378,364,351,352,353,354,357,359,363,366,369,370,376,378,375,377,376,376,373,370,372,370,366,361,359,355,350,346,341,335,329,325,320,314,309,304,297,290,284,284,284,284,284,284,284,284,285,286,285,285,285,286,286,287,287,287,287,287,287,288,288,288,288,288,288,289,289,290,290,291,289,289,289,290,296,297,296,298,295,293,294,291,32768,291,291,32768,32768,32768,32768,32768,296,296,296,296,296,296,296,296,296,296,297,297,297,297,297,297,297,297,297,298,298,306,353,381,429,444,461,475,493,511,521,526,529,531,530,526,521,529,539,550,554,553,536,533,539,549,575,581,581,603,644,679,692,699,714,738,759,787,827,812,790,775,770,770,768,771,774,787,805,828,849,877,906,923,940,983,1002,1050,1098,1148,1188,1253,1275,1249,1273,1282,1277,1296,1348,1410,1464,1524,1574,1599,1635,1660,1644,1638,1613,1547,1484,1443,1391,1351,1334,1308,1282,1264,1226,1185,1174,1186,1222,1276,1283,1293,1334,1365,1357,1362,1385,1418,1483,1493,1459,1430,1398,1334,1271,1219,1181,1144,1117,1058,990,947,889,845,811,768,736,713,683,648,585,526,548,562,557,560,540,525,521,508,487,472,453,443,435,428,409,390,390,393,393,382,371,359,346,348,350,351,354,357,361,363,367,368,374,374,372,373,374,373,371,367,369,367,364,359,356,352,348,345,340,335,329,324,319,313,308,303,297,289,284,284,284,284,285,284,284,285,285,285,286,286,286,286,286,287,286,287,287,287,287,288,288,288,288,288,289,289,289,290,291,290,288,289,289,292,295,294,293,294,297,294,294,291,32768,32768,291,32768,32768,292,32768,32768,295,295,296,296,296,296,296,296,296,297,297,297,297,297,297,297,297,297,297,298,298,323,368,408,434,450,465,479,497,512,521,526,526,526,526,520,509,511,520,534,537,535,520,519,528,537,560,569,573,603,654,686,693,701,721,746,763,788,825,814,792,776,771,768,769,772,775,783,798,818,839,867,892,897,939,960,994,1041,1090,1129,1165,1229,1225,1214,1246,1260,1263,1289,1340,1398,1452,1522,1591,1649,1675,1649,1626,1639,1593,1515,1461,1423,1370,1329,1320,1308,1285,1259,1225,1191,1184,1201,1239,1288,1310,1315,1339,1375,1373,1391,1416,1444,1503,1487,1452,1428,1382,1320,1257,1202,1150,1124,1085,1051,976,930,875,831,803,766,733,700,671,639,582,533,490,513,516,539,528,505,496,478,471,457,441,425,423,418,389,367,375,382,385,371,362,351,342,342,345,346,349,352,355,358,360,363,367,367,367,368,368,366,365,363,364,363,360,356,351,348,344,341,336,332,327,323,317,311,307,301,296,287,284,284,284,285,288,288,290,289,285,285,286,285,286,286,286,286,287,287,287,288,288,288,288,288,288,288,289,289,291,289,288,288,290,291,291,296,292,293,293,294,294,294,295,32768,32768,291,291,294,292,32768,32768,32768,295,296,296,296,297,297,297,296,296,297,297,297,297,297,297,297,297,297,297,298,300,348,390,415,440,458,476,484,497,510,517,523,522,520,513,502,492,492,490,497,501,500,495,495,499,512,530,540,546,604,639,671,695,702,724,749,764,791,822,812,788,777,775,768,769,773,776,784,795,810,828,854,877,891,917,954,982,1030,1069,1106,1146,1186,1185,1180,1227,1230,1244,1273,1318,1377,1439,1500,1585,1634,1640,1619,1602,1612,1579,1492,1430,1396,1353,1295,1276,1270,1270,1232,1177,1177,1199,1212,1258,1300,1329,1342,1353,1385,1401,1412,1450,1483,1528,1491,1444,1412,1367,1279,1231,1190,1139,1102,1066,1009,962,915,862,817,790,760,732,697,665,642,597,559,509,467,471,500,498,489,471,455,454,441,432,425,417,408,377,358,369,380,377,359,353,343,338,339,339,341,344,346,350,353,355,361,363,360,361,362,362,361,359,358,359,358,356,352,348,343,339,336,332,329,324,321,315,309,305,300,294,284,284,287,284,284,284,284,284,287,285,287,288,285,285,286,287,285,287,286,287,288,288,288,288,288,288,288,290,290,288,288,288,290,290,292,291,294,292,292,294,292,293,293,294,296,293,32768,294,295,32768,32768,32768,32768,32768,296,296,296,297,297,297,297,297,297,297,298,297,298,298,298,298,298,298,298,303,342,398,425,449,466,479,485,493,502,507,510,508,505,498,486,485,485,482,475,472,475,471,469,474,489,499,504,512,609,634,676,694,703,723,749,764,787,816,807,783,778,777,768,770,773,778,786,796,808,820,841,862,881,904,934,963,998,1050,1098,1124,1145,1146,1151,1194,1193,1227,1248,1295,1357,1418,1467,1548,1596,1606,1588,1576,1586,1567,1493,1421,1365,1318,1276,1231,1228,1238,1212,1148,1144,1206,1230,1274,1311,1341,1355,1373,1398,1419,1447,1484,1536,1539,1488,1438,1402,1358,1274,1214,1162,1126,1091,1047,995,936,898,848,803,781,756,738,697,670,636,603,566,518,467,431,465,442,472,457,435,430,430,425,413,398,388,363,354,362,376,362,348,344,343,335,334,332,337,339,341,344,348,352,356,357,356,355,356,356,356,352,355,354,353,352,348,344,339,334,331,328,325,321,318,312,307,303,297,292,283,288,284,284,284,285,285,285,284,32768,32768,32768,289,285,285,285,286,287,287,287,288,288,289,289,288,289,290,287,288,288,289,289,289,292,293,292,291,296,295,292,293,293,293,293,294,295,294,295,295,295,32768,32768,32768,32768,296,297,296,297,297,297,298,297,297,298,298,298,298,298,298,298,298,299,299,311,365,424,447,455,465,475,484,493,496,495,488,485,482,476,475,479,474,468,461,455,452,449,447,448,458,465,470,478,619,626,659,691,705,723,749,765,783,811,805,782,776,775,768,770,774,779,787,796,809,820,838,859,874,895,923,947,982,1049,1090,1109,1126,1129,1141,1174,1175,1212,1237,1283,1349,1404,1455,1552,1574,1590,1572,1563,1575,1552,1486,1419,1368,1302,1265,1220,1208,1220,1198,1139,1135,1200,1233,1282,1315,1339,1352,1379,1404,1426,1465,1509,1546,1536,1483,1435,1401,1345,1267,1212,1151,1113,1079,1038,973,932,891,842,800,778,756,738,693,670,636,601,573,526,485,440,435,416,453,449,426,424,421,417,404,384,377,353,349,359,365,353,341,341,343,334,332,331,335,337,339,343,347,350,353,354,353,353,353,353,353,350,352,352,351,350,346,342,338,333,329,325,323,321,316,311,306,302,290,293,288,284,284,284,284,284,285,285,285,32768,32768,32768,285,288,285,286,286,287,286,288,288,289,288,289,289,290,288,287,288,290,289,289,292,293,290,291,291,292,292,292,293,293,293,293,294,294,296,295,295,295,32768,32768,32768,32768,296,297,297,297,297,297,298,298,298,298,298,298,298,298,298,298,299,299,300,330,380,431,447,455,464,475,487,490,490,487,479,479,475,471,471,473,466,458,454,448,441,437,435,436,443,452,458,463,624,625,665,686,708,726,744,762,779,807,797,780,773,768,766,769,773,779,787,797,809,819,834,851,865,884,907,930,977,1044,1066,1078,1091,1099,1125,1136,1151,1190,1218,1271,1336,1378,1433,1485,1531,1561,1543,1537,1561,1506,1464,1403,1354,1289,1228,1201,1178,1181,1161,1119,1129,1194,1228,1286,1321,1319,1350,1385,1414,1438,1481,1543,1563,1539,1486,1433,1369,1299,1242,1201,1145,1090,1055,1016,966,908,872,834,799,777,756,723,686,667,635,608,581,533,513,470,440,409,419,433,410,415,411,401,387,365,354,337,326,345,350,339,333,337,337,330,324,328,330,333,336,341,343,345,347,349,348,347,348,348,348,343,348,349,349,351,342,339,334,329,325,320,319,317,313,309,304,300,289,290,283,284,284,284,284,284,284,285,285,285,32768,32768,32768,285,290,287,287,287,288,287,288,288,289,290,287,287,287,290,289,293,293,291,290,290,290,291,291,291,292,292,292,293,293,293,294,294,294,296,295,295,295,32768,32768,294,296,297,297,297,297,298,298,298,298,298,298,298,298,298,298,298,299,299,315,358,400,425,437,454,461,471,478,476,473,470,472,466,461,453,456,458,448,433,432,429,423,419,418,421,426,434,439,433,644,618,657,676,707,715,743,753,778,797,793,777,772,764,765,766,770,778,787,796,809,818,833,848,863,876,879,911,960,1023,1038,1047,1058,1079,1091,1099,1132,1181,1213,1268,1322,1358,1397,1453,1518,1534,1516,1523,1554,1480,1419,1377,1338,1296,1235,1185,1142,1139,1123,1096,1142,1169,1199,1266,1298,1329,1357,1391,1424,1445,1491,1549,1570,1521,1468,1410,1358,1298,1245,1202,1147,1089,1041,993,947,889,860,825,791,771,748,713,680,656,628,608,585,543,508,482,453,403,402,406,400,405,401,385,374,351,344,327,318,323,336,331,327,327,330,323,322,323,326,331,334,337,338,340,343,344,344,343,343,343,343,340,345,346,347,347,338,335,331,325,322,317,314,312,310,306,302,298,291,283,283,283,284,284,284,285,285,285,285,285,32768,32768,32768,32768,285,287,287,287,287,288,290,292,286,286,287,290,294,297,295,290,289,290,290,290,291,291,291,291,291,292,293,293,293,294,294,294,294,295,294,296,295,32768,293,293,32768,296,297,298,298,297,298,298,299,298,298,298,298,298,298,299,300,300,336,371,393,418,436,452,457,461,461,462,462,461,455,446,435,436,441,436,425,414,408,404,399,398,400,405,412,420,427,410,656,617,627,645,686,697,736,749,769,792,787,775,769,763,761,758,765,775,785,796,808,817,830,843,848,850,864,886,938,996,1006,1014,1038,1052,1064,1075,1130,1174,1211,1267,1294,1330,1367,1435,1509,1504,1492,1519,1520,1438,1377,1345,1300,1265,1221,1186,1127,1085,1084,1083,1130,1164,1190,1250,1309,1327,1362,1397,1425,1444,1495,1552,1557,1504,1438,1382,1341,1295,1232,1195,1143,1075,1035,972,917,871,843,813,782,766,741,716,679,652,624,595,579,570,531,499,454,405,379,365,379,390,390,371,358,342,335,321,315,319,329,321,321,317,316,317,316,319,323,328,330,332,334,336,337,338,340,339,337,338,339,334,342,342,334,331,334,331,327,322,319,314,310,309,306,302,299,294,283,284,284,284,284,284,284,284,285,285,285,286,286,32768,285,286,285,287,286,287,291,292,286,286,287,287,287,287,289,291,291,290,290,290,291,291,291,291,291,291,292,292,292,293,293,293,293,294,295,295,295,296,295,297,296,295,32768,293,295,298,298,298,298,298,299,299,298,299,299,299,299,300,300,305,342,364,394,423,440,446,449,449,451,452,451,445,440,428,421,431,426,417,406,392,381,378,378,383,391,396,404,411,416,399,660,622,620,636,675,693,722,745,766,788,780,772,769,762,759,757,765,773,784,796,807,816,828,833,837,853,877,878,926,981,991,998,1035,1041,1050,1076,1134,1182,1216,1257,1281,1316,1365,1441,1505,1490,1484,1521,1500,1424,1363,1325,1284,1244,1206,1173,1131,1078,1069,1092,1140,1179,1209,1261,1303,1329,1369,1402,1425,1444,1500,1554,1546,1490,1432,1371,1328,1276,1226,1192,1139,1071,1024,966,911,869,842,811,781,763,741,714,676,652,628,609,589,572,536,513,453,414,380,369,368,379,376,365,353,339,330,319,314,318,321,317,317,313,313,314,313,317,322,326,327,329,332,334,335,336,337,337,335,337,336,335,340,339,328,328,332,330,325,321,318,312,308,307,304,301,298,287,283,284,284,284,283,284,284,285,285,285,285,286,285,32768,286,286,286,287,287,292,294,286,286,287,288,290,291,289,287,288,291,291,291,290,291,291,291,292,292,292,292,292,292,292,292,293,293,294,295,295,295,295,293,293,296,296,32768,32768,32768,298,298,298,298,299,299,299,299,299,299,299,299,300,301,309,344,364,398,424,436,439,443,445,445,445,441,438,432,421,418,425,417,407,396,378,370,369,373,379,387,392,401,406,408,391,660,633,621,632,655,680,710,743,763,782,770,770,771,761,757,758,766,775,785,786,796,799,816,827,856,880,896,900,907,954,965,988,1018,1017,1038,1085,1137,1177,1192,1224,1264,1305,1359,1428,1478,1468,1486,1522,1464,1403,1338,1277,1252,1197,1173,1142,1110,1063,1060,1086,1130,1167,1198,1254,1297,1327,1366,1404,1433,1451,1512,1562,1542,1480,1402,1344,1305,1268,1227,1188,1129,1068,1014,953,904,861,837,808,779,764,747,714,679,651,633,615,600,570,537,511,469,424,384,367,346,362,355,354,343,329,322,311,308,310,310,313,312,308,309,310,311,317,320,321,322,325,327,329,330,332,333,333,332,333,327,327,335,328,321,324,327,326,322,318,314,309,305,302,301,298,292,283,283,284,284,283,284,284,284,284,285,285,285,285,32768,32768,286,287,295,290,294,287,285,286,288,289,294,299,306,308,292,292,289,288,288,290,291,291,291,291,292,292,292,292,293,293,293,294,294,294,294,295,295,296,293,32768,32768,32768,298,32768,32768,32768,298,298,298,299,299,299,299,299,300,299,299,300,301,312,339,365,398,416,424,429,433,434,431,431,426,420,416,408,410,409,397,383,368,355,355,357,366,371,380,388,392,390,390,391,662,661,635,624,646,675,712,734,758,772,767,767,767,756,748,753,761,769,767,769,783,799,829,845,860,877,899,913,907,934,956,972,988,1011,1030,1067,1124,1148,1164,1202,1263,1293,1329,1395,1448,1454,1487,1498,1451,1379,1313,1246,1220,1169,1144,1118,1072,1040,1058,1109,1154,1203,1232,1267,1302,1322,1355,1402,1439,1472,1526,1565,1535,1471,1400,1342,1300,1253,1200,1158,1097,1036,1001,940,892,854,829,802,786,773,739,700,673,658,640,621,604,571,544,505,472,421,392,372,347,344,342,341,332,323,314,305,302,301,299,305,303,303,306,307,310,314,316,317,319,321,323,325,326,327,328,328,330,327,320,317,319,318,316,321,323,322,321,315,311,306,302,299,297,287,283,283,283,283,283,283,284,285,284,285,285,285,285,285,286,285,287,292,294,288,286,285,286,287,294,294,298,298,320,317,290,288,289,290,292,291,288,289,291,292,292,292,292,292,293,293,293,294,294,294,295,295,295,296,296,32768,293,294,32768,298,32768,296,294,298,299,299,299,299,299,299,300,300,300,300,301,311,338,363,392,407,416,420,421,420,419,413,409,401,397,396,393,385,373,352,343,341,339,343,353,353,367,370,367,364,364,366,657,661,657,631,635,669,708,728,748,767,766,757,747,735,739,741,751,758,753,786,803,812,828,843,857,875,893,909,915,927,946,964,999,1036,1044,1055,1090,1117,1139,1193,1231,1256,1302,1373,1436,1459,1501,1466,1423,1375,1302,1233,1177,1138,1112,1087,1041,1041,1065,1096,1132,1179,1226,1260,1301,1331,1375,1411,1443,1481,1541,1553,1519,1459,1393,1338,1293,1251,1199,1147,1083,1016,977,929,885,849,828,803,787,777,750,711,685,667,642,622,600,571,540,495,466,411,387,367,339,335,332,330,321,317,310,304,300,297,295,294,299,299,303,306,308,310,312,313,314,316,318,320,322,323,323,324,327,315,314,313,309,310,312,316,317,317,315,313,309,304,299,296,286,282,283,283,283,284,284,284,284,284,285,285,286,285,285,286,287,289,289,288,287,286,285,286,291,287,296,298,293,305,307,298,288,288,289,289,291,291,291,291,289,289,292,292,293,293,292,293,293,294,294,294,295,295,296,296,295,295,32768,295,295,32768,296,295,293,293,299,299,299,300,300,300,300,300,300,300,301,307,337,361,391,403,409,411,410,407,404,399,390,383,383,376,366,351,338,328,323,321,316,325,338,338,337,334,329,328,328,352,654,657,664,642,632,663,709,725,743,771,763,752,737,727,733,733,745,751,762,789,803,813,827,843,855,875,895,910,925,931,956,978,999,1042,1053,1063,1086,1125,1152,1188,1233,1267,1313,1389,1447,1467,1507,1450,1410,1355,1292,1223,1172,1112,1091,1064,1029,1038,1076,1117,1151,1194,1230,1268,1308,1338,1378,1413,1443,1483,1545,1548,1499,1433,1365,1319,1293,1253,1195,1140,1087,1016,969,926,886,851,830,806,789,778,749,714,692,673,642,620,598,569,532,491,458,406,382,365,337,333,329,325,317,315,309,305,300,297,294,293,296,298,302,305,307,308,310,310,312,314,316,318,321,321,321,322,324,312,311,311,307,308,311,314,314,314,313,311,308,303,298,291,282,282,283,283,283,284,284,284,284,284,285,285,286,286,285,286,288,289,287,286,286,285,286,290,291,287,299,288,295,304,295,289,288,289,289,289,290,290,291,290,292,291,289,291,292,293,293,293,293,294,294,294,295,295,296,295,295,294,32768,293,297,296,297,299,294,293,299,299,300,300,300,300,300,300,300,300,301,305,340,367,392,402,406,405,403,401,394,386,381,371,368,356,348,335,327,319,313,310,307,311,326,327,320,310,308,317,320,336,647,653,674,668,635,666,699,705,730,771,759,742,715,705,706,716,725,737,774,791,803,812,826,841,853,881,912,916,939,961,983,1006,1027,1051,1075,1091,1109,1144,1176,1201,1247,1284,1338,1431,1470,1493,1478,1419,1381,1327,1275,1210,1164,1086,1044,1033,1011,1056,1085,1120,1167,1215,1240,1276,1315,1347,1382,1412,1446,1495,1545,1541,1468,1393,1333,1277,1245,1210,1157,1109,1048,994,952,913,878,849,833,811,791,777,745,722,704,679,649,615,593,557,516,477,450,398,374,360,334,328,326,321,316,311,308,303,299,296,293,292,295,298,300,304,304,305,306,307,308,310,312,314,316,316,316,317,314,309,307,306,306,304,307,309,309,309,308,307,305,300,290,282,282,282,282,282,284,284,284,284,284,284,285,286,285,285,285,287,286,286,285,285,285,289,287,286,286,296,288,298,307,292,289,288,288,289,289,289,290,290,290,289,291,291,291,293,291,290,290,293,293,294,32768,294,295,295,295,295,295,296,296,296,296,297,298,298,299,298,298,299,300,300,300,300,300,301,301,301,301,311,352,375,393,396,395,393,386,375,367,364,352,337,320,312,315,310,306,304,304,304,303,302,302,302,306,307,303,307,311,316,644,652,665,683,655,641,664,673,709,731,731,726,694,690,715,732,745,768,768,790,802,812,827,845,858,884,915,938,946,971,997,1027,1055,1082,1100,1127,1139,1162,1200,1232,1261,1299,1350,1450,1489,1512,1449,1388,1348,1289,1235,1188,1138,1098,1034,998,1018,1052,1081,1119,1170,1219,1247,1283,1317,1349,1382,1410,1449,1503,1546,1531,1457,1372,1312,1256,1215,1167,1125,1087,1032,977,942,905,876,853,836,817,788,772,749,730,707,681,650,611,588,543,504,465,429,390,363,359,330,321,322,319,315,310,306,302,298,295,292,292,294,296,300,301,301,302,303,304,304,306,309,311,312,313,313,313,311,307,304,303,301,300,302,303,304,304,304,303,298,292,283,282,282,283,282,282,285,284,284,284,284,284,285,286,285,287,285,285,284,285,285,289,288,285,286,288,297,297,313,319,321,290,288,288,288,289,289,290,290,289,289,290,290,291,291,291,292,292,294,292,291,291,294,294,295,295,295,295,295,296,296,296,296,297,297,298,299,300,298,299,300,300,300,301,300,301,301,301,301,321,363,391,393,383,375,364,356,347,346,333,324,305,301,301,301,302,304,306,308,311,312,312,312,313,313,316,316,306,305,309,646,652,663,682,661,637,649,658,689,710,716,716,687,701,731,748,759,775,787,791,801,817,829,847,862,888,918,942,959,977,1005,1035,1072,1098,1118,1145,1157,1180,1210,1250,1271,1306,1360,1457,1492,1498,1428,1382,1328,1283,1224,1177,1134,1085,1037,992,1032,1063,1090,1126,1173,1221,1249,1284,1314,1341,1378,1409,1455,1504,1543,1526,1458,1363,1304,1252,1211,1157,1109,1077,1024,968,939,907,879,854,837,818,789,773,750,731,706,680,649,611,587,538,499,463,425,385,357,357,327,319,319,317,314,310,306,301,297,295,292,292,293,296,299,300,300,300,301,302,302,304,307,309,310,313,312,311,309,305,303,301,299,298,299,302,302,302,301,296,291,283,283,282,282,282,282,283,285,284,284,284,284,284,285,285,287,286,284,284,284,285,289,287,285,286,286,297,292,311,320,322,323,291,287,289,288,288,289,289,289,289,289,290,290,290,291,291,292,292,292,294,293,291,291,294,295,295,295,296,296,296,296,296,297,297,297,298,298,300,298,299,299,300,301,301,301,301,301,301,302,318,369,392,385,371,360,349,344,336,330,312,304,300,303,305,307,310,310,311,311,311,313,313,313,314,313,313,312,314,303,308,646,652,661,675,674,655,642,642,651,677,670,669,670,699,733,760,776,790,801,801,804,824,837,853,869,892,922,955,985,1000,1027,1043,1091,1131,1154,1187,1196,1212,1235,1271,1297,1323,1388,1452,1486,1469,1402,1345,1306,1248,1192,1143,1112,1065,1020,988,1027,1057,1086,1127,1179,1227,1251,1271,1289,1320,1368,1403,1472,1516,1535,1502,1461,1364,1302,1243,1201,1152,1103,1066,1011,968,940,906,875,855,841,821,794,775,755,726,696,678,645,614,574,525,492,464,422,381,348,341,319,315,316,314,312,308,305,300,296,293,290,290,293,295,297,297,298,298,298,298,299,301,303,305,307,306,307,306,305,302,299,297,296,294,295,291,287,284,282,282,282,283,283,282,282,282,282,282,285,285,284,284,285,285,285,285,284,285,285,284,286,285,285,286,286,289,294,304,318,322,322,322,316,290,288,287,288,288,288,289,289,289,289,290,290,290,292,292,292,292,292,293,293,293,295,293,291,292,295,296,296,296,296,296,297,297,297,298,298,303,299,299,299,300,301,301,301,301,301,301,303,303,356,385,366,352,340,323,312,302,300,301,308,309,308,308,308,308,308,309,311,310,312,312,310,311,312,312,312,313,313,304,647,654,663,675,692,690,676,668,659,651,658,681,664,687,721,759,774,788,809,810,810,830,853,867,883,905,933,956,997,1027,1058,1070,1094,1149,1191,1234,1236,1247,1269,1292,1331,1353,1422,1463,1477,1448,1385,1324,1269,1218,1173,1108,1080,1041,994,980,1012,1044,1074,1122,1179,1228,1240,1244,1276,1316,1346,1386,1466,1525,1524,1480,1441,1389,1317,1250,1200,1155,1101,1063,1006,963,935,904,875,855,844,827,798,776,753,711,686,667,637,602,562,515,486,445,410,371,344,327,317,313,311,311,310,306,303,299,294,291,288,289,292,294,294,295,295,295,295,295,296,297,300,302,303,304,303,303,302,299,296,294,294,290,284,281,281,281,32768,32768,32768,32768,281,282,282,282,282,282,284,284,284,284,285,285,283,284,284,284,287,285,284,285,285,291,292,289,309,316,319,319,315,309,294,289,288,289,288,287,288,289,290,290,290,290,290,291,291,291,291,292,292,293,293,293,294,295,294,296,292,292,292,296,297,297,297,297,298,298,298,299,299,300,299,300,300,301,302,301,301,302,302,304,319,343,348,331,319,300,299,303,307,308,306,306,307,307,308,308,308,303,301,301,303,303,310,311,312,312,312,313,313,314,646,657,670,683,698,706,706,694,689,692,710,702,678,676,717,757,770,781,806,819,819,832,862,881,896,928,956,976,1015,1054,1083,1110,1116,1157,1209,1272,1278,1291,1297,1328,1365,1395,1453,1477,1481,1435,1360,1301,1252,1193,1136,1086,1049,1012,971,984,1009,1043,1077,1137,1187,1219,1206,1227,1270,1304,1320,1374,1445,1516,1508,1456,1419,1364,1294,1237,1201,1159,1110,1068,1001,951,927,899,873,852,842,827,797,774,740,699,676,649,612,580,551,509,480,425,389,362,337,322,313,310,308,308,306,304,302,299,294,291,287,288,290,292,293,293,292,292,292,292,293,295,298,300,301,300,299,297,295,295,295,286,287,287,281,281,281,32768,32768,32768,32768,32768,32768,32768,32768,281,282,281,284,284,284,286,283,283,283,284,286,284,285,287,288,288,286,287,299,313,316,318,319,316,308,298,290,288,289,289,290,290,290,290,289,290,290,290,290,290,291,291,291,292,292,292,292,293,294,295,295,294,295,295,297,294,293,294,297,298,298,298,299,299,300,300,302,301,301,301,302,303,302,302,302,302,304,317,326,312,298,301,305,310,306,305,305,306,306,305,306,308,307,301,32768,32768,32768,302,310,311,312,312,312,313,313,314,646,660,675,688,702,708,710,712,708,730,730,712,684,671,718,756,770,778,802,820,825,834,865,886,901,937,972,992,1025,1066,1098,1125,1129,1164,1215,1288,1304,1312,1314,1348,1385,1417,1467,1483,1481,1433,1365,1287,1245,1182,1122,1076,1028,1003,965,994,1025,1056,1088,1144,1195,1208,1190,1223,1265,1301,1309,1364,1443,1519,1496,1447,1408,1347,1282,1226,1189,1149,1106,1068,1005,946,923,896,869,851,840,820,795,774,732,694,666,640,609,574,546,507,465,420,384,359,334,313,309,308,307,307,305,303,301,298,294,291,287,288,290,292,293,293,292,291,291,291,291,294,297,299,299,299,296,295,295,295,294,286,286,286,282,281,281,32768,32768,32768,281,32768,32768,32768,32768,281,282,282,284,284,285,283,284,283,283,286,284,287,287,286,286,286,286,300,311,314,319,320,319,315,304,295,289,289,288,288,288,289,289,289,289,290,290,290,290,290,291,291,291,291,292,292,292,293,294,294,295,294,295,295,296,297,296,293,293,297,298,298,300,299,301,301,301,300,301,303,303,302,302,302,302,303,306,305,315,302,299,304,311,307,305,306,305,306,305,305,306,307,308,301,32768,32768,303,306,309,311,312,312,312,312,313,314,644,672,690,698,706,710,712,728,760,780,773,733,698,674,708,745,768,775,793,816,836,842,868,893,911,954,998,1030,1050,1100,1131,1160,1161,1208,1225,1298,1352,1356,1352,1387,1428,1455,1491,1475,1448,1420,1364,1277,1221,1166,1110,1039,1010,983,962,999,1027,1059,1092,1145,1196,1177,1171,1213,1257,1269,1289,1343,1423,1505,1476,1431,1386,1320,1258,1207,1172,1134,1092,1052,999,948,928,904,868,845,835,817,790,762,717,686,652,628,601,561,531,498,454,403,379,356,336,312,306,306,304,304,302,300,298,296,292,290,287,289,286,287,289,290,289,290,292,291,289,292,295,297,296,295,295,295,295,291,288,285,283,283,281,281,281,281,32768,282,282,282,32768,32768,32768,282,282,282,285,283,283,283,283,286,285,287,288,285,285,285,286,291,306,312,311,316,320,321,318,311,301,295,291,289,288,288,289,289,288,289,289,290,290,290,290,290,291,291,291,291,291,292,292,293,294,295,295,295,295,296,295,296,296,295,298,295,294,296,298,299,300,300,300,302,302,301,302,303,303,302,303,303,303,306,303,300,304,312,305,304,305,32768,305,306,306,307,307,307,308,305,304,304,308,309,310,310,311,310,311,312,312,313,642,681,699,704,711,710,713,734,780,797,788,743,706,677,700,733,767,776,788,810,839,849,870,896,919,969,1022,1059,1085,1125,1170,1199,1200,1245,1252,1301,1368,1403,1400,1421,1461,1496,1496,1456,1413,1384,1348,1287,1225,1154,1088,1050,1026,993,955,987,1039,1066,1091,1139,1185,1151,1154,1202,1224,1227,1270,1324,1414,1480,1462,1413,1358,1301,1244,1197,1168,1141,1093,1049,1005,946,921,891,864,840,834,815,777,748,707,679,647,624,587,545,520,482,436,387,370,356,323,303,303,303,301,301,299,297,295,294,291,289,284,284,284,287,287,288,288,287,287,286,285,288,292,293,286,288,287,290,290,286,284,281,281,281,281,281,281,281,282,282,282,282,282,282,283,282,285,284,282,283,283,284,285,286,286,287,292,297,297,293,293,297,303,315,320,327,328,324,318,309,307,305,301,289,288,289,290,289,288,289,289,289,290,290,290,290,290,291,291,291,291,292,292,293,294,294,295,294,295,295,295,295,296,295,297,298,298,299,295,294,296,300,300,300,303,301,302,303,302,302,302,299,303,303,298,312,311,305,32768,305,305,306,306,306,306,306,307,307,308,309,308,307,309,307,307,310,310,310,312,312,312,313,645,685,700,701,711,708,719,748,800,804,790,757,707,682,698,741,770,781,790,811,846,855,873,902,926,976,1037,1087,1118,1155,1201,1237,1246,1274,1301,1316,1366,1427,1450,1465,1490,1515,1467,1426,1402,1360,1313,1265,1213,1146,1083,1020,1002,978,962,1007,1042,1063,1090,1141,1163,1127,1136,1185,1189,1204,1252,1310,1387,1471,1447,1400,1344,1292,1248,1213,1182,1147,1093,1055,992,946,914,883,861,834,822,801,759,735,704,678,645,628,589,530,508,469,427,378,372,350,317,300,300,300,299,299,298,295,293,292,291,287,283,283,284,285,285,286,286,285,286,284,283,282,281,281,281,282,282,279,280,281,281,280,281,281,282,281,281,282,282,283,283,283,282,282,284,284,284,283,282,284,283,286,284,286,287,289,289,291,292,292,292,293,294,308,335,337,328,322,316,309,308,303,296,289,288,288,289,288,289,289,290,290,290,290,290,290,291,291,291,291,291,292,292,293,293,294,295,296,295,295,295,296,296,296,297,298,297,298,299,299,299,295,295,296,300,303,305,302,302,303,302,302,303,300,302,308,302,304,304,305,305,305,307,306,306,306,307,307,307,308,306,306,306,307,307,310,310,310,311,312,312,313,652,687,697,699,709,706,722,756,809,806,793,749,708,682,696,743,773,785,792,812,847,859,874,904,927,980,1040,1094,1134,1170,1215,1254,1268,1287,1322,1342,1366,1428,1466,1481,1500,1515,1457,1405,1385,1366,1300,1256,1198,1143,1078,1021,983,963,972,1012,1040,1058,1085,1140,1150,1110,1130,1173,1175,1199,1245,1304,1381,1457,1441,1392,1348,1300,1258,1219,1191,1150,1096,1053,989,941,908,881,858,834,809,786,750,728,698,674,643,629,578,523,501,461,421,381,371,342,311,300,299,299,298,297,297,295,293,291,290,287,283,283,284,283,284,285,285,285,285,284,283,282,281,281,280,280,279,280,280,282,280,280,280,281,281,281,282,282,283,283,283,283,282,284,284,283,283,282,283,283,286,285,284,290,289,290,290,291,292,292,293,293,294,301,330,334,322,319,315,308,304,299,292,289,288,289,289,287,289,289,289,290,290,290,290,290,291,291,291,291,291,292,292,293,294,294,295,296,296,295,295,296,296,296,297,297,298,298,299,299,300,300,299,296,295,299,303,307,305,305,304,307,302,297,307,306,304,304,304,306,307,307,307,307,307,307,307,307,308,308,306,306,307,308,308,309,310,310,311,312,312,313,662,684,690,694,696,706,731,770,826,810,798,754,715,690,705,750,779,792,803,813,844,866,879,910,933,985,1040,1091,1155,1200,1249,1286,1308,1310,1347,1390,1400,1444,1479,1494,1520,1511,1448,1377,1338,1324,1282,1214,1178,1125,1069,1011,970,945,985,1012,1018,1051,1083,1139,1127,1076,1115,1153,1151,1180,1227,1276,1369,1439,1428,1388,1349,1300,1260,1226,1206,1156,1100,1043,981,928,900,882,857,804,769,746,731,718,678,648,630,617,554,512,491,449,412,386,361,326,306,298,297,296,296,295,294,293,292,291,287,284,282,282,283,283,283,284,284,284,284,283,282,279,280,280,280,279,280,280,281,282,281,280,280,281,281,282,282,282,284,284,283,284,283,283,282,282,282,284,283,285,287,295,303,308,306,296,305,296,293,294,295,295,294,295,310,315,319,317,314,308,300,293,289,289,288,289,289,289,289,289,289,289,290,290,290,290,291,291,291,291,291,292,292,293,294,294,295,296,296,296,295,295,296,296,32768,297,298,298,298,299,299,300,300,300,301,298,296,297,301,302,303,298,297,306,305,304,304,304,305,307,306,306,306,307,307,307,306,307,308,308,309,309,309,309,310,310,310,310,311,312,312,313,665,679,682,684,694,713,743,786,840,816,803,746,708,698,721,763,785,796,801,812,835,862,883,915,938,980,1037,1096,1158,1219,1280,1322,1350,1351,1360,1415,1446,1485,1504,1529,1529,1502,1446,1365,1300,1282,1255,1183,1162,1101,1037,992,954,950,981,985,1015,1052,1087,1140,1100,1050,1095,1121,1133,1161,1203,1247,1335,1412,1433,1388,1347,1304,1259,1204,1173,1131,1073,1025,970,919,896,876,865,802,748,703,708,702,657,628,599,582,528,497,470,431,402,361,337,307,301,295,294,293,293,293,292,291,291,288,286,284,282,281,281,282,282,283,283,282,279,279,279,279,279,279,279,279,280,280,280,281,281,280,281,280,282,282,282,282,283,284,282,282,282,282,282,283,284,285,283,298,308,316,327,339,340,309,334,325,299,297,297,297,296,295,297,312,324,319,314,306,297,292,289,288,288,288,289,289,288,289,289,289,289,290,290,290,290,291,291,291,292,292,292,293,294,294,295,295,296,296,296,295,296,296,32768,297,298,298,298,299,299,299,300,300,299,302,302,302,298,296,298,303,305,305,304,303,304,305,304,305,305,305,306,306,306,307,306,307,308,308,308,308,308,309,310,310,310,310,311,312,312,314,663,671,671,684,698,720,757,800,852,822,792,754,718,698,722,752,786,793,796,807,829,855,885,917,942,983,1038,1085,1155,1221,1277,1327,1380,1395,1399,1424,1479,1520,1525,1557,1523,1496,1419,1361,1299,1250,1209,1163,1117,1096,1039,987,947,953,961,982,1017,1061,1101,1133,1077,1038,1071,1083,1112,1146,1173,1221,1308,1399,1440,1394,1353,1309,1255,1193,1146,1096,1046,1006,957,913,895,879,874,805,753,687,663,671,638,611,579,546,506,475,449,412,376,341,322,303,294,290,291,292,291,292,291,289,288,286,285,283,282,281,281,281,281,281,282,279,279,279,279,279,279,279,279,280,280,280,281,281,281,282,280,280,282,32768,282,283,282,281,281,282,282,285,286,286,285,287,298,310,333,346,359,362,342,329,344,336,318,307,302,300,296,295,296,307,321,314,309,303,295,292,290,288,288,288,289,289,288,289,289,289,289,290,290,290,291,291,291,292,292,292,292,293,294,294,295,295,296,296,296,296,297,295,296,298,298,298,298,299,299,299,300,301,301,301,302,303,303,303,303,302,302,302,303,303,303,303,301,304,305,305,306,306,306,307,307,307,308,308,308,308,308,309,309,309,310,311,311,316,321,352,662,667,669,688,703,725,765,808,857,828,793,753,719,700,716,746,784,789,792,803,825,854,885,917,944,982,1041,1085,1154,1209,1262,1311,1377,1419,1422,1435,1485,1535,1540,1559,1518,1492,1406,1356,1306,1260,1196,1148,1100,1086,1034,982,943,947,964,991,1021,1067,1107,1122,1070,1028,1063,1070,1112,1129,1158,1213,1301,1390,1436,1396,1354,1308,1249,1190,1141,1079,1034,997,950,911,892,881,875,806,752,690,642,653,630,604,566,536,498,466,439,406,365,331,311,297,289,289,291,290,290,291,290,288,287,286,284,282,281,281,280,279,279,279,279,278,278,278,279,279,279,279,279,279,280,280,280,281,281,282,280,280,284,282,283,283,281,281,281,282,286,287,289,294,296,293,302,323,347,360,368,359,342,335,346,341,330,315,305,302,297,295,296,302,315,312,307,301,295,293,290,288,288,288,289,289,290,289,289,289,289,290,290,290,291,291,291,292,292,293,293,293,294,294,295,295,296,296,296,296,296,296,296,298,298,298,298,299,299,299,298,301,301,301,302,302,302,303,303,303,302,303,303,303,303,304,303,305,305,305,306,306,306,307,307,307,308,308,308,308,308,309,309,309,310,311,313,326,344,379,656,659,675,696,712,736,778,826,869,833,795,766,734,712,710,744,769,781,785,798,823,849,880,910,943,984,1042,1085,1140,1182,1236,1283,1360,1425,1464,1473,1511,1559,1571,1553,1507,1475,1385,1325,1297,1273,1195,1114,1072,1049,1021,972,936,946,975,1006,1033,1075,1110,1106,1051,1010,1045,1048,1079,1099,1141,1197,1284,1357,1420,1384,1346,1299,1230,1177,1128,1062,1014,980,938,908,892,860,848,800,749,688,634,620,611,589,541,515,484,445,421,393,348,318,296,286,286,288,290,288,288,287,288,286,285,284,282,281,280,280,279,278,278,278,278,278,279,278,278,279,279,280,280,280,280,280,280,281,280,282,281,282,284,283,281,281,281,283,288,301,303,302,303,302,302,302,319,329,337,351,359,357,356,356,361,361,349,325,309,306,299,296,296,300,312,310,307,301,297,293,290,288,288,288,289,289,289,289,289,290,290,290,290,291,291,292,292,292,293,293,293,293,293,294,295,295,296,296,296,296,296,297,297,297,298,298,298,299,299,299,300,300,301,301,302,302,302,302,302,303,303,306,305,304,304,304,305,305,305,305,306,306,306,307,307,307,308,308,308,308,309,309,309,310,316,321,341,359,385,426,640,656,687,703,721,741,791,846,875,839,813,788,750,722,706,721,749,753,780,794,816,836,865,899,930,981,1024,1065,1113,1161,1215,1259,1337,1408,1461,1506,1540,1584,1591,1536,1478,1439,1381,1326,1267,1236,1200,1119,1067,1002,990,962,931,942,975,1008,1035,1055,1066,1091,1021,996,1017,1019,1064,1077,1126,1181,1256,1337,1373,1362,1327,1260,1196,1149,1112,1051,999,972,936,906,870,825,808,788,737,679,625,591,587,564,531,499,461,428,404,373,334,303,288,284,286,285,288,286,286,285,286,284,284,283,280,280,279,279,279,278,278,278,278,279,279,279,279,279,279,279,280,280,280,280,280,281,282,283,284,283,281,281,281,282,286,310,332,337,323,325,318,319,315,314,335,343,343,348,361,373,378,383,379,364,337,317,314,309,299,296,296,303,316,310,307,302,299,296,291,289,289,289,289,289,289,289,290,290,290,291,291,291,291,292,292,292,293,293,293,293,294,294,294,295,295,295,296,296,296,297,297,297,297,298,298,298,299,300,300,301,301,301,301,302,302,302,302,302,303,305,308,304,304,304,304,305,305,305,306,306,306,308,308,308,308,308,309,310,310,311,317,339,374,372,382,407,420,469,640,663,693,705,725,747,797,851,877,841,813,788,755,731,710,721,734,743,780,793,812,829,859,893,924,971,1010,1059,1101,1152,1201,1250,1329,1403,1456,1507,1550,1600,1594,1527,1460,1419,1380,1326,1272,1231,1186,1117,1063,989,984,957,926,939,976,1007,1029,1033,1042,1076,1018,972,998,1009,1044,1075,1121,1179,1263,1335,1352,1346,1324,1246,1181,1131,1100,1052,994,968,934,906,871,817,786,775,730,674,619,581,573,554,530,492,447,421,396,364,327,299,285,287,282,284,287,285,285,284,285,284,283,281,279,279,279,278,279,278,278,278,278,278,279,279,279,279,279,279,280,280,280,280,280,281,283,284,283,280,280,281,281,283,287,327,357,347,333,341,332,324,318,321,334,346,352,356,371,386,391,397,373,354,331,317,316,308,299,296,296,305,316,311,307,304,301,297,291,289,289,289,289,289,289,288,290,290,290,291,291,291,291,292,292,292,293,293,293,294,294,294,294,295,295,296,296,296,297,297,297,297,298,298,299,299,299,300,300,301,301,301,302,302,302,302,302,302,303,306,309,307,304,304,304,305,305,305,306,306,307,307,308,308,308,311,310,312,313,317,338,377,388,386,397,436,455,493,645,685,705,715,739,761,807,858,880,849,816,790,769,742,715,736,759,764,764,777,795,818,844,882,906,944,982,1032,1077,1123,1186,1237,1319,1396,1447,1496,1544,1602,1579,1497,1421,1381,1357,1318,1260,1213,1145,1112,1064,1006,958,942,921,940,974,1002,992,989,1015,1031,1013,956,950,990,1021,1064,1114,1175,1271,1315,1306,1299,1298,1225,1159,1101,1069,1035,988,965,932,903,874,814,753,741,710,666,610,574,547,543,515,474,429,400,381,346,313,288,285,281,280,282,285,284,283,282,283,282,281,278,278,278,278,278,278,278,278,278,278,278,279,279,279,279,279,280,279,280,279,280,280,280,283,281,280,280,280,281,283,285,304,360,362,353,347,356,353,336,332,336,343,355,374,381,395,409,406,388,364,341,324,327,313,302,298,297,297,309,316,312,309,307,298,293,290,290,291,291,292,290,291,291,289,290,291,290,291,291,291,292,292,292,293,293,294,294,294,294,294,295,295,296,296,296,297,297,297,298,298,298,298,298,299,300,300,300,301,301,301,302,302,302,302,302,305,310,313,314,310,304,305,305,305,305,309,309,308,309,309,310,323,327,350,360,349,364,404,401,409,419,427,474,497,509,658,706,716,726,751,777,816,867,885,854,821,798,780,738,721,739,775,787,779,780,804,814,835,862,884,916,954,998,1062,1125,1185,1229,1300,1377,1428,1481,1537,1597,1541,1463,1384,1344,1325,1307,1249,1201,1134,1072,1050,1010,972,936,921,943,975,990,962,961,997,1000,977,937,931,971,1021,1060,1104,1159,1250,1280,1262,1248,1240,1192,1142,1080,1039,1002,985,968,933,905,870,810,752,703,697,660,608,588,549,509,494,456,413,384,356,330,306,287,280,279,280,281,282,282,282,280,280,277,277,278,278,278,278,278,278,278,278,278,278,278,279,279,279,279,280,279,280,280,279,280,282,280,280,280,279,282,280,282,282,285,318,340,365,355,349,354,353,352,350,355,362,377,394,403,408,401,385,366,352,336,337,325,306,300,298,298,300,309,316,312,308,300,293,292,293,293,294,294,295,294,292,290,289,290,290,290,291,291,291,291,292,292,292,293,293,294,294,294,294,295,295,296,296,296,297,297,297,297,298,298,298,298,299,299,300,300,300,301,301,301,302,301,302,302,308,312,318,319,314,310,306,305,305,309,315,316,312,321,322,337,350,365,390,395,406,405,422,426,440,450,466,516,525,519,681,719,725,737,766,796,833,886,896,856,831,797,760,752,729,733,766,797,803,805,804,819,837,856,884,910,968,1013,1060,1109,1169,1216,1282,1354,1400,1467,1538,1592,1513,1415,1342,1311,1293,1284,1236,1192,1132,1064,1019,975,961,928,911,944,963,963,939,950,975,971,937,892,916,966,1014,1044,1083,1131,1235,1239,1220,1206,1192,1154,1113,1064,1020,968,950,950,935,908,869,808,751,693,665,643,618,594,539,501,459,434,401,366,347,322,298,283,279,279,279,279,280,281,281,278,277,277,277,277,277,277,278,278,278,278,278,278,278,278,278,279,279,279,279,279,280,280,281,280,280,279,279,281,283,286,281,284,282,304,320,340,367,365,358,355,354,356,365,370,376,383,392,397,398,380,366,355,342,342,345,315,303,300,299,299,304,315,307,299,297,296,294,295,296,295,296,299,300,300,295,288,290,290,290,290,291,291,291,291,292,292,293,293,293,294,294,294,295,295,295,296,296,296,296,297,297,298,298,298,298,298,299,299,299,300,300,300,301,301,301,302,302,302,311,318,326,324,319,317,311,307,309,317,324,325,327,336,353,380,375,391,415,420,428,433,446,457,474,494,519,547,559,552,695,726,729,744,776,804,845,897,901,862,835,788,771,753,732,730,760,796,806,809,807,816,836,866,895,924,980,1024,1074,1107,1164,1214,1278,1343,1390,1454,1533,1581,1502,1394,1321,1297,1277,1270,1228,1187,1131,1072,1032,968,951,919,910,952,959,954,927,940,964,955,926,877,906,961,1005,1034,1072,1117,1216,1222,1200,1186,1173,1133,1096,1053,1016,957,928,930,936,903,867,806,744,687,652,634,619,587,533,492,448,424,395,363,344,316,293,279,278,278,279,279,280,281,280,277,277,277,277,277,277,277,278,278,278,278,278,278,278,278,278,279,279,279,279,279,280,281,280,280,279,279,280,281,282,287,283,283,290,310,325,346,369,366,361,357,356,363,375,378,379,383,389,393,388,370,360,351,344,348,343,313,302,301,299,300,307,315,301,297,296,295,297,297,298,298,300,305,304,302,296,289,288,290,290,291,291,291,291,291,292,292,292,293,293,294,294,294,295,295,295,296,296,296,296,297,297,297,298,298,298,298,299,299,299,300,300,300,301,301,301,301,301,304,322,334,338,328,324,323,316,321,324,322,330,332,353,350,379,394,390,409,427,433,439,444,457,472,492,523,545,563,561,557,718,740,737,768,795,828,873,924,908,863,834,797,777,764,752,731,754,780,805,814,822,827,846,875,906,930,1007,1050,1104,1113,1163,1206,1269,1327,1370,1447,1535,1548,1472,1351,1282,1262,1245,1243,1203,1169,1112,1053,1023,973,928,906,923,949,958,938,906,916,935,926,892,862,907,949,992,1013,1045,1088,1179,1184,1163,1144,1134,1091,1055,1025,990,938,879,885,891,886,859,797,729,675,651,609,582,554,518,476,438,409,381,354,329,308,287,276,276,277,278,278,278,281,279,277,277,277,277,277,277,277,278,277,278,278,278,278,278,278,278,279,279,279,279,279,281,279,280,279,280,280,281,281,283,284,285,286,301,319,354,372,371,368,366,368,369,378,381,379,378,379,382,380,368,357,353,349,350,349,330,310,303,301,300,300,309,302,297,296,299,303,305,306,305,309,317,318,313,301,293,289,289,290,290,290,290,290,291,291,291,292,292,293,293,293,294,294,295,295,295,295,295,296,296,297,297,297,298,298,298,298,298,299,299,300,300,300,300,301,301,305,330,353,376,372,352,356,346,337,341,352,351,348,348,364,396,389,416,428,429,442,457,456,464,471,482,502,542,573,580,586,582,563,734,753,750,788,817,853,906,956,919,871,847,811,807,786,764,736,753,779,803,820,836,843,864,898,909,936,1008,1080,1127,1130,1166,1202,1256,1313,1360,1444,1541,1499,1436,1313,1251,1223,1216,1216,1171,1134,1082,1019,990,954,925,904,925,956,957,926,880,882,902,910,851,864,899,937,965,982,1019,1060,1138,1149,1130,1104,1084,1052,1010,967,932,906,852,837,845,846,829,763,708,666,634,610,568,535,489,452,416,401,380,334,319,303,285,276,276,276,276,276,276,278,276,277,277,277,277,277,277,277,278,277,278,278,278,278,278,278,278,279,279,279,280,279,279,278,280,281,282,282,283,283,282,284,281,292,312,339,374,373,371,370,374,380,380,379,378,377,374,374,370,362,355,351,351,351,349,336,317,307,305,302,301,300,300,298,297,302,309,315,321,318,316,328,326,322,308,295,291,289,291,290,290,290,291,291,291,291,291,292,292,293,293,293,294,294,294,295,295,295,296,296,296,296,297,297,298,298,298,299,299,299,299,299,300,300,301,306,330,353,389,426,406,389,373,369,370,364,362,372,375,388,397,400,416,427,433,459,466,470,474,485,491,500,525,543,587,610,610,609,590,568,753,766,766,802,841,879,943,972,929,890,854,831,828,798,776,748,737,766,801,824,848,863,876,905,907,942,1021,1110,1149,1154,1169,1198,1249,1308,1357,1468,1535,1455,1364,1272,1217,1193,1193,1193,1129,1089,1046,1005,962,932,912,898,924,964,968,934,879,844,865,885,831,853,881,913,941,957,995,1029,1066,1096,1095,1052,1018,1004,973,922,883,860,829,791,799,797,787,731,684,645,636,628,569,534,475,428,407,394,365,330,312,296,278,276,276,276,276,276,276,278,276,276,277,277,277,277,277,277,277,277,278,278,277,278,278,278,278,279,279,281,278,278,278,281,282,282,283,283,283,283,281,279,286,305,332,365,375,373,373,375,380,381,381,376,377,375,372,362,355,352,351,351,350,346,331,321,313,321,307,304,302,301,300,299,299,311,320,328,328,328,337,334,325,316,300,296,291,289,291,290,290,290,290,291,291,291,291,292,292,292,293,293,294,294,294,295,295,295,296,296,296,296,297,297,297,298,298,299,299,299,299,299,300,313,334,342,377,433,466,444,416,406,372,389,396,388,385,400,415,435,435,435,454,471,473,493,503,497,500,518,522,533,561,582,618,630,630,624,602,578,761,772,773,806,852,891,958,978,933,893,860,848,836,799,773,755,736,761,795,826,851,866,881,909,911,947,1019,1127,1163,1163,1180,1202,1251,1307,1361,1478,1526,1413,1336,1256,1205,1177,1183,1177,1106,1073,1028,990,956,924,903,899,928,969,973,941,890,845,842,864,820,838,872,891,921,947,979,1012,1035,1065,1065,1022,993,975,960,908,860,830,821,770,779,769,767,713,671,641,645,621,567,535,467,424,403,391,358,328,309,291,278,276,276,276,276,276,275,276,276,276,277,277,277,277,277,277,277,278,278,278,278,277,277,278,278,278,279,278,278,278,280,281,283,283,283,283,283,282,280,280,292,305,328,358,375,374,375,377,380,379,378,376,377,374,365,357,352,352,351,350,349,336,323,319,321,342,312,305,303,302,301,301,304,316,326,332,332,338,341,333,322,310,300,297,292,290,291,290,290,290,290,290,291,291,291,292,292,292,293,293,294,294,294,295,295,295,295,296,296,296,297,297,297,298,298,298,299,299,299,300,305,330,346,368,401,463,474,447,421,417,364,403,404,400,401,416,436,462,455,453,467,491,496,509,514,509,515,533,545,552,582,616,638,644,641,628,608,580,780,782,788,822,877,917,986,984,936,898,881,852,818,793,785,760,737,764,801,828,858,873,887,914,921,948,1032,1106,1176,1188,1202,1224,1263,1314,1377,1479,1484,1362,1279,1231,1179,1151,1162,1142,1070,1029,989,958,930,905,892,924,948,981,987,959,901,857,814,813,795,825,853,862,897,921,948,978,997,1033,1023,975,942,925,916,876,822,781,781,760,723,718,707,675,645,641,647,606,565,515,453,414,394,378,348,321,304,286,277,276,275,275,276,275,276,277,277,277,277,277,277,277,277,277,277,278,278,277,277,278,277,278,278,280,277,278,278,282,280,282,282,282,283,282,282,279,32768,280,300,330,321,341,377,378,378,379,380,375,374,377,372,361,354,353,352,351,350,348,337,337,342,341,353,347,312,312,312,314,318,324,322,327,336,343,346,347,339,326,317,308,302,297,291,288,291,290,290,290,290,291,291,291,291,292,292,292,293,293,294,294,294,295,295,295,295,296,296,296,296,297,297,298,298,298,299,299,302,327,349,360,385,425,491,504,487,458,438,431,402,429,420,427,438,454,482,490,468,484,495,526,528,535,540,540,540,568,582,595,629,661,671,678,663,635,619,572,789,793,808,839,896,945,1009,996,939,909,892,850,829,814,790,768,741,783,802,825,854,873,891,910,928,954,1040,1116,1192,1197,1216,1240,1287,1342,1408,1456,1397,1311,1243,1194,1167,1127,1126,1105,1046,1005,962,934,912,891,912,946,969,996,1002,969,911,867,828,782,779,815,835,842,876,891,915,941,977,1006,998,961,920,885,852,818,781,744,725,705,670,669,666,637,619,649,625,585,541,494,444,416,379,367,339,318,296,279,276,275,275,275,276,275,32768,276,276,277,277,277,276,277,277,277,277,277,277,278,278,278,278,278,280,277,278,279,281,281,281,280,279,282,281,280,280,32768,279,288,299,311,331,359,378,378,377,376,374,372,373,369,358,355,354,353,351,349,346,338,340,340,347,352,353,327,323,338,338,340,343,339,335,340,350,353,349,343,332,320,311,304,300,292,290,290,291,290,290,290,290,290,291,291,291,292,292,292,293,293,293,293,294,294,295,295,295,295,296,296,296,297,297,297,298,298,301,316,334,365,384,405,424,508,525,516,507,489,459,422,432,449,438,457,477,502,524,509,504,516,536,547,562,569,572,575,575,603,633,660,679,694,708,699,673,645,612,558,795,800,818,849,905,958,1021,1005,948,919,893,856,845,815,790,772,744,785,798,820,847,871,893,910,930,958,1044,1121,1189,1208,1226,1250,1298,1355,1427,1455,1369,1295,1236,1179,1153,1123,1108,1087,1030,995,953,923,902,886,919,957,981,1005,1008,974,915,869,839,785,773,805,820,837,863,873,904,924,962,982,985,967,926,877,839,802,767,727,699,680,659,647,646,620,610,636,612,572,523,478,442,408,374,360,339,317,290,276,276,275,275,275,275,32768,32768,276,276,276,277,277,277,277,277,277,277,277,277,278,277,278,278,278,277,277,279,281,281,280,279,279,279,279,279,32768,32768,279,279,290,309,309,331,369,377,377,377,376,373,370,370,365,357,355,354,352,351,348,343,342,341,342,349,352,344,322,337,348,349,353,351,344,340,348,354,353,345,339,330,317,307,302,297,291,290,290,291,290,290,290,290,290,291,291,291,292,292,292,293,293,293,294,294,294,294,295,295,295,296,296,296,297,297,297,298,299,307,332,354,385,405,442,478,530,532,526,518,506,468,415,457,460,449,477,497,531,540,529,525,534,556,559,576,587,590,592,595,621,660,689,698,714,723,703,677,642,602,550,808,814,832,871,920,981,1042,1022,968,936,895,882,862,818,803,772,745,768,797,823,858,876,898,909,927,960,1047,1125,1206,1232,1255,1277,1318,1372,1433,1440,1307,1254,1226,1169,1117,1092,1069,1050,1003,970,931,907,890,896,938,977,1003,1018,1018,988,929,884,854,808,757,783,798,819,833,849,871,899,941,942,957,961,941,896,859,808,769,709,664,640,618,607,608,590,598,604,583,543,495,469,451,398,363,353,336,308,285,275,276,275,275,275,32768,32768,276,276,276,277,277,277,277,277,277,277,277,277,277,278,278,277,280,277,277,279,280,281,279,279,32768,32768,279,32768,279,32768,279,32768,280,291,317,326,340,372,376,376,378,377,371,367,366,366,361,357,355,353,350,347,346,347,346,347,350,347,330,344,352,354,357,359,358,350,350,355,351,344,338,334,321,311,303,299,291,290,290,289,289,290,290,290,290,290,291,291,291,292,292,292,292,293,293,294,294,294,294,295,295,295,296,296,297,297,297,297,298,308,329,363,393,423,470,517,515,550,546,543,542,524,484,430,481,494,482,513,534,582,574,567,546,572,581,587,612,630,622,631,637,669,712,726,737,751,727,706,672,623,579,535,821,831,854,899,942,1002,1072,1038,988,951,910,887,861,816,804,781,750,772,793,820,856,879,900,908,920,960,1042,1106,1185,1242,1264,1290,1335,1411,1425,1386,1270,1218,1194,1169,1119,1060,1010,1006,975,946,911,887,879,916,958,998,1021,1024,1015,987,937,881,850,804,748,768,778,795,812,833,840,887,909,913,925,953,934,906,873,831,791,727,663,620,588,577,580,562,562,558,540,507,471,468,427,375,355,348,325,298,279,275,275,275,275,276,32768,276,276,276,276,276,277,277,277,277,277,277,277,277,277,278,278,278,278,277,278,281,279,278,279,279,279,32768,32768,279,280,279,279,279,282,291,313,353,371,375,376,379,380,371,367,367,368,373,375,366,360,354,351,348,348,349,350,350,346,340,345,351,353,355,356,359,358,354,358,354,348,339,330,323,313,304,299,293,290,290,289,289,289,290,290,290,290,290,291,291,291,292,292,293,293,293,293,293,294,294,294,295,295,296,296,296,297,297,298,298,305,324,359,400,425,479,534,540,552,561,560,559,553,524,503,456,510,529,533,553,591,637,615,606,589,606,615,616,644,657,657,674,682,711,755,759,781,755,720,697,655,597,560,527,834,850,884,926,969,1027,1093,1058,1007,964,922,879,849,809,795,776,753,764,791,816,853,878,897,900,907,951,1026,1086,1175,1226,1247,1267,1311,1386,1389,1325,1241,1191,1158,1140,1104,1056,968,961,945,925,892,875,891,932,977,1010,1022,1022,999,963,925,880,854,776,739,749,756,776,786,797,826,882,873,898,913,904,894,911,873,825,781,724,664,621,570,551,553,533,520,516,500,470,442,422,386,358,345,339,314,285,275,275,276,274,275,276,276,276,276,276,276,276,277,277,277,276,277,277,277,277,277,277,278,277,277,278,281,278,278,279,279,279,279,32768,279,280,279,279,280,280,284,297,315,354,375,378,379,378,375,370,370,376,382,383,379,371,363,357,352,350,349,349,350,347,346,346,349,352,354,354,354,356,357,358,357,349,346,336,326,317,308,301,293,291,290,290,291,290,290,290,290,290,290,291,291,291,291,292,292,292,293,293,293,294,294,294,295,295,295,296,296,296,297,298,300,303,323,348,392,440,474,539,554,568,569,570,570,570,552,535,523,507,529,580,595,604,653,670,649,643,637,643,646,653,667,686,697,724,730,759,784,792,788,739,707,678,632,579,550,524,842,860,897,938,982,1042,1100,1066,1016,970,927,876,852,808,792,775,750,772,791,818,852,877,894,897,899,940,1029,1078,1168,1206,1229,1244,1297,1360,1373,1299,1230,1176,1143,1124,1091,1052,968,939,930,917,885,876,902,940,985,1012,1022,1013,985,951,919,880,860,777,735,740,745,769,773,785,826,875,857,888,901,893,877,897,858,804,768,715,661,618,562,539,536,518,501,495,484,455,424,401,369,350,341,330,308,280,275,275,275,275,275,276,276,276,276,276,276,276,276,277,276,276,277,277,277,277,277,277,279,277,277,280,279,279,278,279,279,279,279,32768,279,279,279,280,280,280,288,299,318,346,377,379,380,377,375,373,375,386,387,386,380,372,363,357,351,350,349,348,349,347,347,347,350,354,354,352,354,355,357,359,355,349,346,335,324,312,305,300,292,290,290,290,290,290,290,290,290,290,290,290,291,291,291,292,292,292,293,293,293,293,294,294,295,295,296,296,297,297,297,300,304,308,335,366,409,462,513,548,569,574,577,578,578,573,559,546,534,509,534,597,609,625,675,686,665,661,653,663,664,678,682,700,720,751,758,786,797,811,779,734,700,671,621,573,547,524,859,880,922,958,1005,1063,1110,1081,1033,983,937,876,862,816,793,779,753,769,790,812,847,872,892,897,890,917,974,1045,1097,1153,1153,1191,1289,1349,1339,1250,1197,1158,1120,1084,1055,1016,968,919,908,899,874,878,914,957,999,1015,1011,1003,962,928,901,876,850,786,730,719,724,737,745,770,818,857,829,843,871,883,873,847,811,772,737,697,654,601,545,520,511,499,478,460,449,429,393,372,349,341,326,314,293,275,275,275,275,275,275,275,276,276,276,276,276,276,276,277,277,277,277,277,277,277,277,278,277,276,279,279,278,278,279,278,279,279,279,279,279,280,280,281,282,282,299,317,359,371,380,381,380,377,379,384,395,395,391,389,378,370,362,354,351,349,348,348,348,348,348,349,354,354,354,353,353,355,359,355,352,347,342,329,314,306,299,293,291,290,290,289,290,289,290,290,290,290,290,291,291,291,292,292,292,292,293,293,293,293,294,294,295,295,296,297,299,298,300,306,312,323,362,394,445,502,528,562,582,591,597,593,588,584,579,573,554,516,545,603,645,661,698,717,703,684,691,693,708,717,717,738,765,795,808,804,820,807,759,721,678,651,603,562,523,487,883,901,946,979,1027,1087,1126,1102,1048,1000,949,884,871,818,795,780,753,767,785,804,838,863,887,892,889,902,949,996,1050,1074,1118,1158,1191,1242,1238,1210,1165,1124,1100,1053,1013,977,937,904,897,887,868,882,920,968,1005,1013,1007,984,942,909,881,860,829,793,759,723,700,702,735,776,814,840,803,805,827,874,856,820,793,745,708,679,642,590,532,502,492,487,470,452,422,401,373,358,343,331,313,297,281,274,274,275,275,275,275,275,276,276,276,276,276,276,276,276,277,277,277,277,277,277,278,276,276,279,280,278,278,278,278,278,279,279,279,279,279,279,280,282,285,289,308,323,372,377,381,384,383,384,391,397,399,396,395,388,376,367,357,351,348,347,347,347,347,348,350,352,354,355,354,353,353,353,355,351,349,343,333,318,308,298,293,291,290,290,290,289,290,290,290,290,290,290,291,291,291,292,291,292,292,292,292,293,293,293,293,294,296,295,296,297,301,305,307,315,322,337,386,418,485,528,542,567,596,615,623,616,617,617,613,604,561,532,541,611,667,699,730,750,749,720,728,724,745,751,762,780,815,817,811,796,802,768,738,702,639,610,562,523,493,453,908,927,975,1000,1049,1110,1147,1115,1060,1012,960,895,882,821,794,777,755,763,781,799,828,855,879,881,888,888,922,957,997,1017,1066,1110,1141,1164,1177,1173,1141,1097,1067,1023,965,947,909,885,883,879,864,889,923,970,1005,1014,1002,953,913,890,868,850,828,781,763,735,703,674,733,762,798,799,767,774,793,812,822,791,768,716,687,661,622,580,511,488,476,471,456,435,415,381,364,352,340,321,299,286,275,275,274,275,275,275,275,275,275,276,276,276,276,276,276,276,276,277,277,277,277,278,276,276,277,279,278,278,278,278,278,279,279,278,278,279,279,280,282,283,291,305,312,322,360,379,384,387,392,396,396,395,396,398,396,387,370,357,349,346,346,345,346,346,347,349,351,353,355,359,357,355,354,351,346,338,331,334,323,312,301,294,291,290,290,290,290,290,289,290,290,290,290,290,291,291,291,291,291,291,292,292,292,292,293,293,293,294,296,297,297,298,303,312,318,326,329,352,427,461,526,542,559,594,632,655,653,662,664,680,655,641,608,551,565,618,671,732,756,772,775,751,771,775,786,788,796,822,838,801,787,773,759,732,709,677,624,598,558,508,517,502,918,939,988,1011,1060,1126,1158,1124,1068,1016,965,903,887,826,792,776,755,761,777,795,823,849,875,879,879,879,909,942,973,1001,1049,1085,1116,1144,1156,1154,1128,1084,1033,1002,951,932,898,879,877,874,865,893,927,970,1005,1007,990,942,904,885,864,840,822,790,760,728,705,667,726,747,792,774,751,756,777,786,802,780,744,704,677,652,611,568,502,482,469,461,447,427,411,375,362,349,334,317,295,282,274,275,275,275,275,275,275,275,275,276,276,276,276,276,276,276,276,278,277,276,277,279,276,276,279,278,278,278,278,278,278,279,278,278,279,280,281,281,285,287,304,306,317,325,368,379,387,391,395,394,391,391,394,398,395,384,364,352,346,345,345,345,345,346,347,349,352,354,358,362,360,358,356,353,348,344,327,321,312,305,298,293,291,290,290,290,290,290,290,289,289,290,290,290,291,291,291,291,291,292,292,292,292,292,293,293,293,294,296,300,299,300,303,315,324,332,340,380,448,485,523,549,566,610,649,678,674,681,696,703,691,661,620,565,584,630,680,742,769,782,786,773,791,794,805,806,815,842,837,795,781,765,742,713,694,662,617,595,555,529,533,545,937,961,1011,1036,1085,1153,1177,1138,1086,1027,976,917,897,832,795,775,757,758,769,787,812,834,866,874,864,865,887,911,937,969,1015,1048,1073,1107,1121,1119,1093,1048,991,959,927,906,879,867,865,862,872,907,938,971,996,984,970,932,894,877,856,834,821,804,774,736,698,660,707,740,780,754,724,726,748,744,753,746,702,672,649,630,583,540,483,463,457,441,435,415,397,369,354,344,328,311,293,281,274,274,274,275,275,275,275,275,275,276,275,276,276,276,276,276,276,276,277,278,278,276,276,278,278,278,278,278,278,278,278,278,278,279,280,283,285,287,292,310,320,303,319,334,368,380,390,390,390,384,383,386,390,392,385,374,353,346,343,343,343,343,344,346,347,351,356,360,366,369,368,366,361,355,352,346,338,321,307,298,293,291,290,290,290,290,290,289,290,290,290,290,290,290,291,291,291,291,291,292,292,292,292,292,293,293,293,294,298,302,306,305,309,318,332,347,366,430,470,489,527,569,600,638,698,722,713,720,733,738,724,687,624,589,607,678,701,767,794,812,814,815,830,836,844,840,852,868,825,786,771,752,719,683,651,633,608,579,540,573,561,567,959,982,1034,1062,1111,1174,1195,1155,1094,1038,987,922,900,841,799,778,760,765,763,782,802,819,849,866,858,852,864,884,909,938,988,1012,1044,1078,1100,1093,1048,988,958,922,894,885,867,857,855,861,890,926,954,985,996,988,972,916,882,868,850,830,814,795,775,741,684,653,708,737,774,729,694,697,716,706,719,724,677,639,618,596,551,514,462,446,445,432,413,394,382,364,346,338,324,308,287,273,274,274,274,274,274,275,275,275,275,275,276,276,276,276,276,276,276,276,277,279,275,277,278,278,277,277,278,280,280,281,282,282,287,283,285,293,293,298,302,311,339,313,319,336,371,378,381,380,377,375,378,375,379,380,378,361,348,344,342,342,343,344,346,346,348,357,369,374,374,376,374,372,364,359,353,346,332,313,302,296,293,291,290,290,290,290,290,290,290,290,290,290,290,290,291,291,291,291,291,291,291,292,292,292,293,293,294,295,301,306,313,315,319,328,341,353,390,450,483,508,544,595,625,674,758,775,764,772,764,755,734,707,628,590,658,701,744,801,820,841,847,850,870,881,889,885,897,866,816,780,765,735,696,665,639,604,574,559,582,595,590,586,976,1001,1055,1088,1137,1206,1211,1170,1102,1040,997,931,911,850,804,782,765,769,765,770,793,806,827,855,853,837,851,861,878,907,955,983,1021,1050,1075,1053,995,949,921,894,872,866,856,849,881,907,918,950,974,1004,1001,976,953,913,883,863,835,812,791,780,769,727,679,656,712,733,761,716,673,672,679,669,686,710,670,620,592,552,511,483,441,430,430,420,405,387,374,358,343,334,321,303,280,274,274,274,274,274,274,275,275,275,275,275,275,276,276,276,276,276,276,276,277,275,277,278,278,277,277,278,285,312,301,301,304,303,301,302,306,320,300,311,322,317,331,323,328,357,372,372,372,370,367,372,376,367,374,374,367,355,344,343,342,343,343,344,347,348,352,375,383,382,386,381,377,373,366,360,353,340,315,311,300,296,292,291,290,290,290,290,289,290,290,290,290,290,290,290,290,291,291,291,291,291,291,292,292,292,293,294,295,297,302,310,318,326,331,344,358,380,411,458,497,534,569,633,678,746,804,837,827,809,783,765,746,726,658,602,700,722,767,828,850,872,881,894,916,934,945,925,911,855,807,776,756,722,682,653,606,588,593,597,607,621,615,600,984,1014,1068,1101,1150,1218,1220,1179,1107,1043,1004,936,913,854,808,782,766,773,768,767,788,800,818,846,851,830,841,850,864,889,946,969,1013,1044,1067,1025,973,932,905,881,864,858,849,851,890,922,934,963,983,1001,990,968,944,915,881,861,834,805,784,762,746,710,675,658,700,730,751,709,666,651,666,659,668,697,664,616,588,536,494,470,434,424,423,415,403,384,372,355,340,331,320,304,277,274,274,274,274,274,274,275,275,275,275,275,275,276,276,276,276,276,276,276,278,275,276,279,277,277,278,281,295,330,310,309,325,313,308,310,314,325,304,316,333,327,329,334,335,363,371,369,366,366,366,370,373,365,375,369,364,353,343,342,342,344,344,345,347,353,356,382,387,384,390,382,377,373,368,360,351,333,329,320,300,296,292,291,290,290,290,290,290,291,290,290,290,290,290,291,290,290,291,291,291,291,291,292,292,292,293,294,296,299,303,311,322,331,337,354,371,404,420,468,507,550,591,664,714,780,834,858,844,818,790,770,752,733,675,615,720,748,777,841,866,888,901,918,941,953,953,930,902,850,803,774,752,720,685,654,597,611,608,608,620,631,624,605,1002,1039,1096,1128,1177,1244,1236,1196,1115,1050,1017,949,909,862,814,784,768,780,775,764,773,789,803,828,845,831,822,827,840,859,902,934,985,992,1000,973,936,898,879,856,845,846,843,866,909,939,954,979,983,990,981,956,935,908,875,858,841,815,788,754,715,664,626,640,702,728,722,680,646,624,650,647,636,676,648,602,574,515,469,446,419,413,411,406,396,381,369,353,336,326,311,300,273,273,274,274,275,274,274,275,275,275,275,275,275,275,276,276,276,276,276,278,275,276,278,277,277,278,281,302,312,358,344,328,355,344,323,333,331,333,312,323,363,367,357,370,368,369,366,362,361,361,363,369,360,366,368,359,356,349,342,343,344,346,347,348,360,358,362,373,384,385,386,383,382,377,366,356,342,339,334,319,301,294,292,291,290,290,290,290,290,290,291,290,290,290,290,291,291,291,291,291,291,292,292,292,292,292,293,295,301,302,306,313,325,336,350,371,402,444,452,486,542,571,653,690,753,810,879,899,883,850,821,797,775,750,713,680,749,799,820,863,893,923,941,967,972,977,945,912,879,837,799,757,733,709,679,638,621,631,629,637,644,647,640,614,1016,1059,1114,1146,1200,1265,1247,1198,1125,1053,1018,960,907,874,823,784,770,781,782,774,768,777,793,809,814,808,799,804,818,837,862,887,916,941,946,929,899,868,847,840,841,840,862,884,936,960,971,992,1003,1007,982,942,921,891,871,857,830,806,785,750,711,653,606,659,697,720,710,658,621,605,624,621,616,659,634,584,546,497,450,430,409,402,398,395,387,375,367,347,335,326,302,283,273,273,274,274,274,274,274,275,275,275,275,275,276,275,276,275,276,276,277,275,276,278,277,277,280,284,303,316,335,379,381,362,387,377,343,359,362,352,324,342,370,375,377,372,367,363,359,358,359,360,364,360,359,366,359,355,353,347,344,347,348,350,352,359,369,370,377,383,385,385,388,386,383,375,361,343,347,347,335,313,299,292,291,290,290,290,290,290,292,290,291,291,290,290,291,291,291,291,292,292,292,292,292,292,292,293,294,298,306,311,312,317,337,356,362,397,432,468,497,497,583,621,690,702,765,835,914,941,921,879,838,810,792,765,715,740,760,822,855,888,923,961,985,997,992,955,914,875,845,809,781,742,716,692,650,641,653,650,653,658,661,662,653,631,1025,1071,1123,1150,1206,1272,1254,1199,1130,1052,1016,964,912,882,825,784,770,780,783,777,769,775,785,794,799,799,793,796,809,827,841,862,891,920,923,908,879,853,838,836,837,845,872,900,950,966,980,1003,1011,1009,972,935,916,888,871,861,833,799,775,750,710,653,599,653,692,713,705,658,614,594,608,601,606,651,630,582,539,491,444,424,407,395,392,390,381,371,363,344,334,325,300,285,273,273,274,274,274,274,274,275,275,275,275,275,276,275,276,275,276,276,277,275,276,279,277,277,282,297,313,322,352,385,390,388,393,383,362,376,371,354,336,354,371,376,375,370,365,362,357,360,360,360,364,356,358,364,356,353,347,344,346,349,351,354,356,362,370,374,381,387,388,391,389,385,380,370,355,348,351,349,334,310,297,291,290,290,290,290,290,290,292,290,291,291,290,291,291,291,292,292,292,292,292,292,292,292,293,293,294,298,308,317,317,323,349,372,378,408,449,476,520,515,592,648,707,720,772,846,925,943,920,880,847,816,798,767,722,757,759,823,866,903,938,983,1000,1006,986,946,905,859,827,790,760,732,706,680,657,655,671,662,667,668,671,670,659,641,1040,1089,1136,1158,1214,1276,1263,1207,1137,1060,1026,982,919,885,828,786,772,779,783,785,780,777,777,781,790,790,826,816,799,814,823,835,858,878,878,868,842,829,829,832,848,867,895,934,961,969,999,1012,1013,1002,959,926,909,887,873,855,832,801,773,738,707,644,594,638,676,695,690,644,599,575,593,584,594,633,619,567,530,479,445,418,411,382,381,379,372,361,356,344,333,309,283,273,274,274,274,274,274,274,274,274,275,275,275,275,276,276,276,275,276,277,274,275,279,277,277,286,299,306,330,348,381,388,398,393,388,382,378,373,372,373,375,376,374,372,371,366,361,357,356,358,360,360,358,353,357,359,351,345,343,347,355,356,356,359,364,372,377,386,391,396,396,394,387,382,372,361,358,356,354,343,325,303,296,291,290,290,290,289,290,290,290,291,291,291,291,291,292,292,293,292,293,293,293,293,293,293,293,294,296,300,311,327,332,348,387,411,417,440,482,523,581,606,609,659,758,779,804,877,948,945,921,893,862,837,809,766,744,788,790,848,887,931,968,1009,1028,1024,968,929,884,835,799,749,712,699,696,670,676,674,701,689,689,689,695,685,676,668,1046,1091,1146,1163,1222,1277,1272,1214,1141,1076,1040,994,933,881,830,790,773,781,783,786,788,792,797,809,826,824,839,836,820,802,815,823,830,840,840,829,824,828,837,854,866,886,927,967,979,981,1003,1017,1015,987,952,926,910,888,865,847,823,793,770,739,704,644,591,636,657,676,665,624,582,556,569,562,583,612,586,542,510,474,448,420,414,375,371,369,364,356,353,344,318,285,274,274,273,274,274,274,274,274,274,274,274,275,275,275,275,276,276,276,277,275,274,278,278,278,282,304,308,329,359,385,386,397,391,386,379,379,376,374,372,379,382,381,377,369,367,364,358,354,354,356,357,357,349,353,355,354,342,341,351,357,359,359,362,363,372,380,390,399,406,405,401,395,387,378,362,365,361,358,351,334,313,301,294,291,290,290,290,289,290,290,290,291,291,291,292,292,293,294,294,294,294,294,294,294,293,294,294,297,303,304,314,337,369,391,419,444,449,463,524,591,664,693,678,709,791,825,843,904,954,963,938,907,878,848,806,764,780,817,816,882,909,953,999,1036,1042,1027,966,927,874,817,778,759,753,732,712,683,691,700,719,709,710,711,719,704,696,687,1052,1094,1156,1168,1224,1272,1285,1223,1151,1092,1054,988,954,887,837,795,774,781,782,790,793,797,812,831,844,854,853,851,842,820,807,815,820,823,822,821,826,841,850,859,878,913,955,983,981,992,1010,1014,998,973,948,928,908,881,854,832,801,769,754,727,677,633,581,615,636,646,638,602,565,545,538,541,564,584,555,515,493,467,440,426,410,371,367,361,357,353,350,335,305,278,274,274,273,274,274,274,274,274,274,274,274,275,275,275,275,275,276,277,274,274,278,278,279,284,293,305,321,326,383,386,395,388,382,373,375,378,380,381,384,385,382,380,374,369,366,361,356,353,353,354,353,349,345,349,351,351,341,349,356,360,362,362,362,365,383,388,403,414,415,413,404,396,384,370,372,367,367,362,347,327,309,297,292,290,290,290,290,290,290,290,290,291,291,291,293,293,294,295,296,296,296,296,296,295,295,296,297,304,317,322,349,376,397,429,449,476,506,32768,560,632,695,752,727,774,824,857,893,947,984,977,962,935,882,848,804,800,803,850,877,895,935,972,1024,1060,1057,1015,959,921,873,811,825,786,772,747,739,708,709,724,740,729,729,734,736,724,716,711,1054,1094,1160,1173,1225,1265,1285,1228,1158,1099,1053,992,962,893,840,797,774,780,781,790,795,799,816,836,853,865,865,862,852,833,807,811,818,820,818,822,829,837,854,864,895,921,962,979,984,999,1018,1011,991,968,946,927,903,877,850,833,800,773,755,727,664,623,587,595,612,633,627,592,557,539,527,533,548,561,550,504,482,460,436,428,396,370,366,358,355,350,348,326,293,274,273,273,273,274,274,274,274,274,274,274,274,275,275,275,275,276,276,276,274,275,279,280,280,290,306,308,324,329,383,391,392,384,376,372,375,380,384,389,388,385,381,377,372,370,366,360,355,352,352,351,351,346,345,347,351,349,343,355,358,361,361,361,363,370,387,396,413,420,419,415,404,395,380,376,373,368,376,362,345,325,306,295,291,290,290,290,290,290,290,290,290,291,292,292,293,294,295,297,297,297,297,297,297,296,296,297,299,307,325,334,371,395,401,443,469,499,531,551,553,626,695,762,761,776,836,876,918,968,995,985,970,942,896,856,821,823,802,853,899,918,942,982,1034,1070,1062,1008,954,916,871,825,835,802,786,750,746,718,719,731,752,739,740,744,746,734,725,716,1057,1099,1169,1173,1222,1268,1275,1233,1171,1103,1059,1019,971,903,842,799,775,779,781,784,798,805,823,847,866,885,895,893,875,853,830,812,811,814,818,827,845,853,863,885,918,936,957,983,999,1021,1041,1015,990,961,939,915,899,884,859,834,811,785,768,732,661,603,599,536,563,614,607,578,542,520,505,514,521,524,523,490,462,451,444,426,382,370,363,355,352,345,338,311,278,273,273,273,273,273,274,273,273,274,274,275,274,274,275,275,275,276,277,274,274,279,284,287,295,311,317,322,339,355,381,387,381,376,370,376,382,391,394,393,388,382,375,373,372,370,364,361,355,353,351,350,346,344,339,344,350,348,343,355,360,362,359,361,363,390,404,419,430,431,425,417,401,386,379,380,376,382,373,352,337,315,298,292,291,290,290,290,290,290,290,290,291,291,292,292,294,296,297,297,298,298,298,298,298,297,298,301,305,317,338,354,404,424,446,450,510,543,582,600,587,604,669,747,812,804,851,907,955,999,1016,1008,987,959,923,897,833,859,816,871,913,950,972,1006,1057,1086,1066,1005,947,910,867,832,855,831,802,776,765,735,738,753,774,762,766,774,770,753,743,724,1055,1095,1157,1179,1232,1271,1287,1263,1188,1113,1071,1030,975,915,847,796,776,777,779,785,796,811,831,863,882,905,923,924,902,873,852,837,825,824,831,841,854,871,882,893,934,953,981,1001,1021,1041,1057,1020,989,959,935,919,907,879,859,847,825,802,785,731,664,600,563,534,551,597,590,562,526,498,487,493,493,493,484,483,455,460,452,405,378,370,359,354,343,341,321,293,272,273,273,273,274,274,273,273,274,274,274,275,275,274,275,275,275,276,274,274,278,282,291,299,314,328,322,359,361,384,382,378,376,372,378,386,395,402,394,391,382,377,374,373,373,370,365,360,356,354,354,353,348,347,337,345,346,344,347,361,366,365,357,359,387,403,423,431,431,429,426,405,387,382,387,384,387,385,363,337,321,303,295,292,291,290,290,290,290,290,290,291,291,292,293,293,295,297,298,299,299,300,300,300,299,299,301,310,318,333,360,384,421,450,476,471,538,588,637,655,651,648,672,753,823,856,861,930,967,1022,1058,1041,1019,986,950,930,869,888,868,887,935,973,999,1035,1076,1090,1062,1002,950,912,871,849,876,858,819,808,775,750,757,777,793,790,799,799,791,776,758,736,1052,1088,1139,1182,1234,1267,1288,1270,1197,1130,1085,1035,981,925,857,804,778,779,778,785,800,815,837,870,897,921,939,948,928,895,871,860,849,834,848,861,874,892,903,922,942,970,997,1019,1037,1053,1058,1021,992,959,935,917,907,893,877,861,841,818,784,733,672,616,580,528,544,581,564,541,514,485,471,475,471,476,478,467,458,461,426,389,374,362,359,348,342,326,300,277,272,272,272,272,273,272,273,274,274,274,274,275,275,275,274,275,277,273,274,278,281,285,295,310,324,338,341,371,393,385,378,371,371,378,386,398,402,402,392,385,378,375,374,374,372,368,364,358,355,355,355,353,352,349,337,338,339,335,344,358,365,356,369,379,402,421,433,433,428,417,405,389,388,389,388,387,389,375,349,329,313,303,300,292,291,290,290,290,290,290,291,291,291,293,293,295,297,299,300,300,301,302,301,301,301,302,308,323,335,351,389,412,433,470,508,531,548,616,671,722,709,734,734,759,826,876,907,935,976,1044,1098,1081,1059,1018,986,950,905,922,910,913,958,997,1029,1066,1100,1083,1043,992,944,907,871,863,884,872,846,808,782,769,782,800,815,817,825,823,813,795,774,759,1046,1083,1136,1176,1232,1263,1288,1271,1200,1134,1091,1030,982,918,863,806,778,779,777,783,804,821,842,873,902,927,940,953,940,902,879,871,859,839,858,871,889,904,917,939,945,976,1006,1024,1041,1055,1061,1021,987,956,935,921,913,899,883,862,840,813,782,730,668,617,582,523,516,567,553,531,507,482,462,469,464,471,473,462,453,444,415,386,370,362,358,343,338,315,292,274,272,272,272,272,272,273,274,274,273,274,274,275,275,275,275,275,274,274,274,278,283,288,302,313,336,349,356,384,393,379,375,369,376,381,391,401,403,396,388,383,376,375,375,374,371,367,365,360,350,356,356,353,351,349,339,335,337,334,342,353,357,356,381,388,412,429,434,430,427,408,395,387,390,390,388,387,379,362,343,328,317,303,304,292,291,291,290,291,290,290,291,291,292,293,294,296,298,299,300,301,302,302,302,302,302,303,312,329,344,359,398,422,452,488,527,550,572,606,662,735,743,770,760,767,825,875,925,955,984,1049,1109,1095,1074,1036,993,963,927,932,926,917,965,1008,1043,1082,1112,1077,1033,985,941,905,874,867,887,884,860,814,795,777,794,813,828,834,838,835,823,805,784,769,1026,1069,1124,1166,1209,1257,1280,1269,1202,1134,1094,1029,977,934,864,804,779,780,779,782,805,830,853,876,896,933,935,950,949,914,896,890,876,852,876,887,909,930,946,965,968,976,1000,1028,1051,1067,1066,1025,989,957,941,937,938,918,896,875,847,811,770,719,662,607,573,530,503,560,538,512,481,460,452,450,447,452,461,448,440,428,401,384,371,361,350,335,325,292,278,272,273,273,273,274,274,274,274,274,274,274,274,275,275,275,275,276,274,274,278,277,286,296,314,334,335,372,391,401,382,377,366,374,379,387,398,400,394,384,385,380,372,377,375,373,368,368,368,364,345,358,355,351,349,349,345,331,331,333,337,343,350,378,391,409,427,432,428,428,418,393,390,393,391,390,387,378,372,358,342,331,320,318,305,292,291,291,291,291,291,291,292,292,292,294,295,297,299,299,302,303,304,304,305,304,304,306,317,339,358,385,423,448,490,526,557,592,619,633,661,724,777,811,813,790,849,902,956,999,1022,1066,1129,1125,1100,1062,1019,984,966,964,963,941,980,1031,1070,1110,1135,1073,1032,980,934,907,884,873,896,902,871,831,813,797,819,841,853,862,865,861,847,823,800,790,1010,1054,1108,1155,1192,1243,1274,1260,1203,1137,1094,1028,969,941,884,800,780,779,779,783,805,830,853,872,890,914,926,937,948,925,909,905,889,866,881,903,924,952,971,985,991,997,1011,1040,1065,1082,1080,1023,993,970,951,954,950,928,916,900,856,796,764,712,661,613,566,510,511,549,522,502,462,443,439,430,425,434,431,437,432,404,403,396,372,350,340,328,310,280,272,272,273,273,273,274,273,274,274,274,273,32768,274,274,275,275,275,273,274,278,275,276,286,309,326,361,344,362,401,390,378,370,370,377,382,392,396,386,379,383,381,379,368,376,372,371,369,367,368,364,340,357,357,358,352,340,333,326,331,336,343,355,378,389,410,424,425,427,420,412,395,392,394,394,392,386,379,379,375,356,343,330,325,331,295,290,291,291,291,291,291,292,293,293,294,295,296,298,299,301,303,305,306,306,307,307,307,311,329,350,370,408,451,486,531,556,605,631,664,675,695,736,802,848,854,823,848,904,986,1044,1064,1097,1157,1142,1110,1071,1036,1009,993,993,1001,975,1012,1053,1094,1142,1126,1068,1025,978,939,912,889,886,904,914,880,845,828,819,844,868,879,888,890,882,855,834,820,820,993,1033,1083,1118,1176,1227,1273,1250,1203,1138,1095,1036,970,893,852,803,780,780,781,784,806,826,848,866,880,896,907,915,924,928,928,921,901,880,888,908,934,970,993,1006,1013,1018,1026,1052,1084,1105,1079,1026,998,983,966,976,962,945,924,910,847,782,747,697,651,611,575,518,475,522,509,485,450,431,426,416,409,406,406,415,411,418,422,394,365,340,329,319,296,274,273,271,273,273,273,273,273,273,274,274,273,273,274,275,275,276,273,274,277,275,275,277,297,337,333,377,365,381,391,382,375,365,376,380,380,387,378,376,378,380,382,377,366,374,373,372,370,349,345,341,340,351,352,358,341,331,325,327,331,342,355,378,389,411,425,427,422,416,403,398,401,394,394,390,384,380,386,382,371,356,352,331,336,306,291,290,290,291,291,291,292,292,293,294,295,297,297,299,300,302,304,307,309,310,310,309,309,326,346,369,394,436,476,520,573,598,637,674,720,729,744,764,810,872,893,881,923,942,980,1060,1109,1143,1184,1150,1119,1083,1050,1034,1021,1031,1037,1021,1041,1080,1121,1158,1115,1060,1017,974,935,915,897,905,920,926,891,859,844,838,868,892,903,912,910,896,873,852,837,862,987,1021,1064,1099,1168,1223,1274,1248,1197,1132,1086,1041,971,888,846,804,781,781,782,785,804,821,843,864,875,888,901,911,920,932,938,929,905,882,887,903,932,973,999,1012,1019,1026,1042,1061,1089,1105,1077,1026,1002,988,975,983,968,952,930,911,828,763,724,676,641,610,583,538,473,492,503,476,440,426,419,411,404,399,398,403,413,431,422,389,358,336,326,313,289,272,272,272,273,273,273,273,273,273,273,274,274,274,274,275,274,32768,273,274,277,275,275,279,306,338,361,388,378,393,387,379,372,364,378,379,374,377,380,377,378,380,382,370,366,374,372,373,370,344,338,334,343,344,344,348,333,326,324,329,335,352,363,385,397,421,428,426,419,411,400,399,400,394,392,388,382,389,390,382,368,357,349,334,330,299,291,290,291,291,291,291,292,292,293,294,296,297,298,299,301,302,305,308,312,312,312,310,312,335,357,383,406,456,496,529,584,620,652,691,736,751,767,788,818,882,914,919,931,971,1000,1062,1119,1174,1189,1156,1128,1091,1059,1044,1033,1049,1055,1037,1059,1098,1135,1163,1114,1056,1015,970,935,923,901,914,927,935,899,869,857,853,878,901,912,922,917,908,881,860,850,883,968,991,1033,1075,1154,1219,1274,1252,1191,1123,1074,1045,977,883,840,802,782,782,784,788,800,813,833,849,858,888,903,913,925,941,949,929,899,881,880,892,919,963,1001,1025,1034,1048,1067,1072,1088,1092,1077,1030,1018,1008,992,979,970,956,923,890,784,729,702,678,646,613,588,560,490,451,487,461,424,415,408,404,398,393,390,407,435,431,401,375,345,329,320,303,277,272,272,273,272,273,273,273,273,273,274,273,274,274,274,274,274,273,274,277,276,275,276,299,317,353,386,391,391,388,383,384,377,374,362,369,370,376,377,379,379,382,369,354,365,376,372,371,358,341,328,333,332,336,331,328,322,323,327,337,357,369,385,401,418,429,427,423,413,403,402,401,398,395,394,388,410,407,392,374,364,357,337,332,312,294,291,290,290,291,291,291,292,292,294,294,296,298,299,301,302,304,306,310,316,317,316,314,321,351,385,416,449,480,510,556,597,654,694,737,779,794,819,829,838,898,947,961,972,1003,1033,1086,1126,1197,1215,1180,1151,1121,1095,1083,1076,1083,1088,1077,1100,1141,1170,1161,1106,1045,1017,986,947,933,912,929,940,946,922,893,891,887,895,917,928,937,930,920,898,880,893,918,923,965,1022,1068,1143,1210,1261,1267,1193,1121,1080,1054,979,876,833,797,783,784,786,791,803,811,825,845,858,882,903,914,922,932,932,918,896,880,876,884,909,945,979,1025,1042,1051,1058,1056,1069,1075,1065,1030,1028,1010,996,980,963,944,875,825,767,732,720,684,649,620,592,566,506,460,457,445,410,406,399,397,393,390,389,413,412,402,378,356,338,326,311,288,272,272,273,273,273,273,273,273,273,274,274,274,274,274,274,274,274,273,277,275,275,275,280,311,334,356,379,388,388,384,388,390,393,380,355,373,371,372,375,378,379,362,348,348,374,378,374,366,341,330,323,327,326,323,320,320,323,327,340,365,372,386,400,420,433,428,421,418,408,404,404,402,400,403,405,410,415,403,381,366,355,342,339,319,303,291,290,290,291,292,292,292,292,293,294,295,297,299,300,301,304,305,309,315,318,320,321,322,341,370,407,448,477,516,554,583,636,683,755,780,831,843,860,880,886,917,972,1001,1015,1041,1082,1113,1155,1231,1237,1206,1181,1150,1120,1115,1116,1113,1130,1125,1142,1173,1196,1159,1108,1075,1055,1008,966,946,925,936,946,957,947,918,921,919,915,930,943,948,949,945,936,920,938,947,902,966,1023,1070,1142,1195,1249,1262,1191,1120,1082,1054,979,869,832,795,783,784,786,793,802,814,827,844,855,877,900,913,923,927,924,915,895,880,875,881,904,936,967,1013,1041,1046,1050,1056,1072,1076,1058,1034,1035,1014,994,985,969,944,864,816,763,740,727,684,653,623,591,565,507,459,434,436,405,402,396,394,390,388,393,409,404,388,367,351,335,322,307,281,272,273,273,272,273,273,273,273,273,274,274,274,274,274,275,32768,273,276,275,275,275,275,285,318,349,371,385,387,387,385,391,395,389,369,353,372,369,370,374,380,370,347,343,353,378,374,370,355,339,325,322,324,322,319,320,323,327,332,352,369,377,391,409,429,436,425,419,416,409,406,405,405,404,411,412,421,410,396,378,364,351,340,336,313,295,291,290,290,291,291,292,292,292,293,294,296,297,299,301,302,304,307,310,315,319,323,324,334,356,388,424,461,488,531,580,602,659,710,770,802,855,866,885,905,918,935,981,1020,1035,1056,1100,1128,1171,1249,1242,1214,1191,1157,1128,1132,1134,1132,1148,1154,1162,1193,1205,1162,1116,1097,1070,1010,976,957,929,942,948,961,960,933,937,929,923,935,948,953,959,963,945,943,947,956,921,978,1027,1071,1118,1153,1215,1261,1188,1120,1083,1052,981,868,831,799,786,786,787,795,805,815,826,839,850,867,888,904,920,925,916,907,891,876,874,876,895,918,945,981,1006,1023,1020,1040,1051,1057,1049,1052,1052,1026,1008,998,976,932,846,802,781,754,727,684,650,615,587,542,481,443,443,418,396,393,389,387,384,385,391,394,388,365,352,341,329,313,294,272,272,273,273,273,273,273,273,273,275,274,274,274,274,274,273,273,274,276,275,275,275,282,298,336,378,383,385,387,391,390,396,393,380,353,361,369,367,370,377,378,350,337,357,372,367,354,346,335,328,318,318,320,315,318,341,337,336,351,367,379,388,405,428,438,434,425,418,415,413,410,417,417,416,419,421,426,394,384,370,365,346,339,322,299,291,291,291,291,291,291,292,294,293,293,295,296,298,301,301,303,307,309,313,317,323,327,337,368,386,418,452,493,526,600,624,651,690,758,802,836,894,908,932,961,971,991,1026,1061,1091,1095,1142,1170,1215,1248,1238,1221,1206,1172,1162,1169,1168,1163,1178,1193,1206,1229,1228,1181,1153,1128,1083,1023,985,970,942,952,958,962,968,963,963,944,935,948,957,969,981,982,968,968,967,981,910,982,1016,1039,1069,1124,1201,1261,1193,1121,1081,1048,982,874,840,811,792,787,790,796,806,812,823,828,835,855,876,891,910,920,914,901,884,875,874,874,882,902,919,942,959,973,977,1023,1039,1038,1033,1045,1041,1040,1029,1006,990,897,832,795,787,760,722,688,641,595,580,552,481,426,428,405,389,386,382,380,379,385,382,384,371,353,343,334,322,303,280,272,272,272,273,273,273,273,273,273,275,274,275,274,274,273,273,274,276,274,274,274,277,285,314,352,377,381,385,392,395,393,394,380,357,348,366,364,369,367,378,366,337,345,372,366,348,335,328,323,318,315,314,313,318,325,335,339,348,365,375,390,402,423,439,439,436,426,419,422,420,422,424,424,431,422,434,419,389,374,367,360,341,327,311,293,291,291,290,291,291,291,292,292,293,294,295,297,299,301,303,305,307,309,313,318,324,328,359,395,414,449,496,544,594,632,667,691,737,796,852,881,909,920,944,977,994,1037,1064,1100,1124,1145,1193,1230,1235,1225,1228,1229,1223,1204,1197,1197,1187,1187,1210,1229,1253,1263,1247,1218,1183,1133,1083,1033,990,975,955,949,962,970,970,970,966,948,939,949,967,984,997,994,990,991,994,1014,914,958,977,997,1039,1109,1171,1246,1198,1134,1076,1040,980,880,849,826,798,788,791,795,800,805,813,825,834,848,863,878,899,907,905,897,880,874,874,874,874,882,894,911,927,936,952,1001,1019,1023,1028,1032,1044,1041,1031,1003,988,900,830,807,787,755,722,676,625,585,571,547,484,442,393,397,384,380,376,372,374,376,376,370,356,347,338,329,308,288,272,272,273,273,273,273,272,273,273,273,273,275,275,275,274,272,273,275,274,274,274,275,280,295,314,344,374,381,389,395,389,387,381,360,344,353,357,368,370,363,365,355,329,354,349,341,329,320,317,315,313,311,311,315,323,330,337,346,365,371,388,406,420,437,440,441,435,426,422,425,427,428,436,439,427,433,427,399,375,367,365,358,336,317,300,291,291,291,291,291,291,291,292,292,295,295,296,297,299,301,302,305,309,311,314,318,343,367,341,412,433,469,509,555,596,647,690,726,776,822,869,881,903,901,912,942,969,1012,1054,1096,1130,1162,1206,1209,1199,1188,1196,1207,1219,1224,1227,1225,1213,1213,1245,1266,1279,1285,1271,1230,1178,1116,1073,1037,1007,987,964,957,963,971,977,973,970,954,948,953,968,988,1006,1012,1008,1014,1017,1039,910,938,952,971,1040,1093,1165,1242,1199,1137,1080,1031,960,888,856,834,799,789,791,795,800,805,817,825,833,847,862,875,893,899,899,894,885,875,874,874,874,875,886,899,912,923,946,989,1011,1017,1029,1035,1042,1033,1036,1009,985,902,836,804,783,751,719,674,617,582,569,541,489,449,395,394,382,377,373,367,370,372,373,365,353,346,336,327,302,278,272,272,272,272,273,273,272,273,273,273,273,275,275,276,272,273,275,276,274,274,275,275,280,298,311,342,373,384,389,392,382,383,370,350,344,349,360,368,363,362,356,346,325,348,337,330,320,316,313,314,311,311,312,320,329,335,344,358,372,378,395,417,428,442,440,439,432,426,423,426,429,435,445,436,428,431,424,390,372,366,364,359,329,311,297,291,291,291,291,291,291,291,292,292,294,295,296,297,299,301,302,306,310,312,315,323,359,382,355,410,445,478,515,554,593,641,687,726,781,820,861,872,892,893,898,924,951,994,1037,1086,1117,1149,1187,1191,1180,1172,1178,1190,1202,1220,1231,1234,1223,1229,1265,1284,1282,1287,1275,1231,1183,1129,1091,1051,1016,994,970,962,966,973,981,977,973,956,955,957,972,990,1010,1019,1013,1021,1028,1046,875,903,904,950,1017,1090,1158,1226,1191,1131,1087,1023,945,894,867,838,802,791,792,795,802,811,828,825,833,843,856,869,885,892,894,892,888,883,876,874,874,874,875,886,897,906,932,968,992,1014,1033,1043,1026,1020,1014,998,957,896,840,807,780,738,711,668,608,567,552,528,499,468,407,375,377,372,367,360,360,366,368,355,347,344,330,314,290,271,272,272,272,273,272,273,272,273,273,273,274,275,275,272,272,274,274,274,274,274,275,275,276,311,340,354,376,385,383,374,375,376,353,342,348,355,366,351,349,352,337,328,318,326,319,316,312,309,308,308,312,313,320,345,344,352,366,380,389,395,417,436,449,444,439,435,430,426,427,431,440,451,439,428,433,427,405,391,371,364,361,340,317,310,295,291,291,291,291,291,291,291,292,292,293,296,297,298,300,302,305,307,310,312,323,358,385,402,400,386,445,493,524,552,580,624,679,724,757,790,827,844,862,863,865,891,918,972,1023,1057,1086,1135,1151,1158,1148,1142,1142,1152,1172,1206,1227,1227,1241,1260,1291,1289,1280,1288,1288,1250,1200,1148,1106,1062,1019,1003,993,978,982,984,987,985,982,964,967,968,982,1003,1018,1027,1023,1033,1037,1059,843,841,903,957,1027,1080,1125,1192,1195,1144,1107,1033,951,900,874,836,805,793,796,807,817,822,836,842,831,842,859,875,890,899,900,896,892,888,884,875,874,874,874,879,892,898,932,964,989,1016,1041,1043,1041,1037,1020,1002,953,893,846,807,763,730,702,645,592,547,529,515,500,467,409,380,363,361,361,352,356,360,358,347,344,337,318,300,277,272,272,272,272,272,272,273,273,273,273,273,273,274,272,272,272,274,275,274,274,274,275,274,286,322,342,357,378,377,370,372,382,374,343,343,355,365,372,335,347,331,324,316,313,313,313,309,305,306,308,310,315,320,329,344,364,372,379,389,398,410,438,463,466,452,440,435,431,429,434,441,455,452,434,429,429,411,406,389,366,363,354,324,315,300,292,291,291,291,290,291,291,291,291,293,293,295,298,299,301,303,304,306,309,318,344,387,405,420,445,398,399,447,503,546,572,612,659,689,725,758,794,816,834,828,835,858,892,955,989,1015,1063,1106,1116,1122,1123,1110,1109,1111,1137,1181,1215,1217,1229,1260,1270,1275,1272,1280,1298,1253,1198,1144,1102,1058,1039,1022,1009,991,998,997,998,993,989,981,979,980,992,1021,1043,1041,1041,1056,1072,1083,783,849,913,963,1019,1038,1097,1159,1205,1167,1122,1035,956,912,884,837,806,798,799,820,831,836,851,857,848,842,862,883,904,912,910,910,907,895,889,888,875,874,874,879,886,897,924,975,995,1018,1041,1062,1063,1039,1013,995,935,885,822,784,748,708,675,622,578,546,531,520,488,444,396,377,366,351,344,347,349,356,350,343,342,325,305,287,272,272,272,273,273,272,272,272,273,273,273,274,274,273,271,272,278,275,275,274,275,274,275,284,297,321,330,358,372,366,371,383,377,357,336,351,370,375,355,328,323,317,312,310,309,309,307,304,306,310,312,319,321,332,355,370,382,385,390,401,416,437,468,476,470,455,443,438,438,446,445,455,461,444,432,428,420,413,401,381,365,358,339,320,304,295,291,291,291,290,291,291,291,291,291,293,293,295,296,298,301,302,304,309,320,339,378,409,431,449,470,467,442,438,430,485,524,591,628,654,694,728,758,787,794,795,805,828,876,926,953,995,1047,1071,1082,1083,1092,1075,1069,1080,1106,1161,1183,1197,1216,1236,1248,1255,1250,1275,1296,1257,1202,1151,1124,1090,1061,1041,1020,1008,1016,1011,1007,1001,991,993,988,989,1002,1032,1067,1064,1073,1087,1099,1112,787,851,916,961,996,1025,1082,1147,1209,1169,1132,1040,960,918,887,837,809,803,803,824,838,843,859,865,855,843,864,885,910,920,916,914,908,897,893,896,879,874,874,879,883,902,930,982,1006,1016,1036,1058,1063,1034,1017,976,922,873,818,777,741,702,670,619,569,537,515,512,477,437,389,373,369,360,338,340,343,352,346,342,336,321,300,282,272,272,272,273,272,272,272,272,272,273,273,273,275,272,271,274,274,275,275,274,274,275,283,291,303,323,327,349,361,361,369,383,368,346,335,358,376,369,341,324,317,312,306,307,307,308,306,302,308,312,315,322,329,345,360,377,385,389,394,407,424,446,478,477,470,456,445,444,446,451,451,465,457,445,432,428,422,412,395,377,364,355,332,318,296,293,291,291,291,291,290,291,291,291,291,293,294,295,296,297,301,302,304,313,330,355,395,421,445,463,483,492,491,477,455,456,502,580,614,639,678,714,744,770,777,776,792,822,866,906,931,996,1031,1053,1063,1065,1073,1064,1051,1061,1099,1149,1166,1181,1207,1225,1237,1244,1236,1271,1300,1265,1207,1171,1141,1104,1075,1055,1030,1019,1026,1017,1012,1004,994,999,994,995,1008,1041,1077,1078,1093,1099,1108,1131,793,855,902,930,948,999,1057,1114,1210,1165,1132,1046,963,921,886,841,817,813,805,832,849,853,869,874,862,849,867,887,912,933,931,923,915,903,910,898,887,891,885,877,880,908,936,974,1003,1019,1032,1057,1062,1046,1024,927,889,861,808,758,723,674,641,591,551,521,501,491,452,424,377,367,365,362,353,330,332,327,331,338,328,310,289,279,274,272,272,272,272,272,272,272,272,273,273,274,272,271,274,274,274,278,278,277,290,296,305,311,321,326,324,326,333,344,369,372,348,333,350,373,368,343,325,315,309,301,301,303,304,304,303,309,317,319,324,332,359,365,375,383,392,395,404,420,452,471,479,474,467,454,453,459,461,455,467,467,456,441,440,430,422,404,384,369,360,345,327,303,292,291,291,291,291,290,291,291,291,291,292,293,294,295,296,298,302,302,310,328,348,381,425,449,474,492,513,522,523,525,520,510,474,549,586,614,647,686,713,737,746,743,763,809,846,889,941,968,999,1018,1022,1025,1031,1029,1019,1046,1090,1122,1134,1149,1190,1203,1217,1217,1220,1269,1300,1280,1230,1201,1177,1130,1101,1084,1044,1034,1043,1034,1020,1013,1006,1007,1009,1005,1020,1063,1100,1114,1132,1123,1137,1171,797,838,865,890,912,975,1035,1094,1197,1175,1120,1041,967,927,889,846,820,811,806,826,846,855,866,873,871,862,863,883,906,930,935,930,920,918,926,912,905,911,902,880,885,910,940,978,1014,1026,1052,1079,1070,1050,980,904,864,821,791,743,680,653,616,565,526,491,484,455,433,400,366,362,361,359,356,351,342,318,320,329,318,301,284,277,274,272,271,272,272,273,272,272,272,272,273,272,271,273,276,274,273,279,290,297,312,310,334,338,356,352,345,317,319,335,336,335,330,341,375,384,349,326,312,304,300,297,299,299,300,300,320,327,331,331,343,358,377,384,395,400,400,403,417,441,464,467,465,462,458,456,467,468,464,470,466,464,456,455,434,429,419,390,372,361,348,344,320,293,292,291,291,291,291,291,291,291,291,291,293,297,295,296,298,301,308,313,328,353,388,420,449,475,504,526,551,561,560,557,551,538,497,530,565,590,621,655,688,699,713,708,746,794,821,879,906,928,965,981,986,989,991,993,988,1039,1064,1088,1101,1130,1169,1181,1184,1183,1219,1259,1274,1276,1254,1226,1195,1143,1120,1104,1062,1056,1056,1044,1030,1024,1018,1020,1023,1021,1042,1098,1131,1155,1173,1161,1175,1203,786,818,847,864,905,966,1034,1093,1194,1186,1129,1045,970,932,890,848,825,815,810,817,839,860,862,870,872,871,863,881,901,926,937,934,920,925,938,920,914,923,907,885,892,917,938,983,1014,1031,1063,1083,1073,1052,962,898,858,807,773,732,668,635,601,556,519,483,484,442,425,389,362,359,358,357,355,349,345,328,317,325,311,297,285,280,272,272,271,272,272,272,272,272,273,272,274,272,271,275,276,275,273,287,298,309,323,323,345,354,359,358,343,314,315,320,322,324,329,352,385,379,343,321,306,300,299,296,299,298,298,302,319,329,337,342,359,371,383,391,400,402,402,408,425,453,463,465,462,458,456,462,479,469,468,473,463,462,468,456,433,421,413,381,367,357,347,345,310,292,292,292,291,291,290,290,291,291,291,292,295,299,296,298,301,304,312,323,338,367,406,433,461,489,521,545,571,581,580,575,570,552,532,510,552,578,609,646,671,681,698,693,739,785,815,862,890,913,949,961,967,971,972,976,978,1029,1049,1070,1084,1121,1154,1165,1162,1179,1222,1252,1272,1285,1268,1238,1202,1148,1136,1111,1075,1063,1065,1049,1040,1032,1025,1028,1030,1031,1055,1112,1147,1173,1189,1176,1190,1221,760,778,809,829,895,954,1023,1083,1180,1192,1138,1054,973,941,899,855,844,832,819,816,825,852,859,868,871,877,865,878,892,905,918,926,931,945,950,936,921,929,911,900,909,932,955,988,1005,1047,1076,1088,1045,1012,944,892,852,791,737,713,649,591,562,538,511,474,472,428,407,372,357,354,354,354,353,346,342,331,308,300,297,292,282,281,275,272,271,272,272,273,272,272,272,273,271,271,274,275,274,273,287,309,324,331,353,362,357,360,360,350,336,309,320,321,326,335,354,380,378,358,331,312,300,297,295,295,296,298,301,319,332,341,364,366,377,386,392,398,399,404,410,423,440,456,457,458,458,456,463,484,478,474,477,468,464,468,467,446,426,415,390,368,358,349,348,323,294,292,292,291,291,290,290,291,298,291,291,293,298,303,300,304,306,313,322,338,358,398,442,461,488,519,551,586,621,624,624,616,607,589,575,556,540,553,584,614,631,642,656,686,731,766,806,835,858,889,922,929,932,934,939,940,976,1004,1021,1031,1072,1093,1120,1129,1155,1183,1213,1239,1270,1301,1296,1259,1220,1172,1161,1120,1099,1084,1084,1077,1063,1049,1041,1041,1042,1052,1086,1134,1177,1202,1205,1205,1216,1256,710,743,772,819,888,956,1007,1061,1153,1195,1152,1052,981,950,912,871,852,836,833,830,831,846,866,870,871,876,869,878,884,897,915,935,946,970,954,947,924,927,917,905,927,950,976,996,1008,1021,1037,1032,1016,970,929,875,834,773,711,680,628,566,539,510,499,464,454,418,385,360,351,350,350,350,348,343,341,337,333,308,295,290,279,281,276,272,272,272,272,272,272,273,274,270,271,273,274,275,274,287,302,323,353,353,376,360,360,361,358,339,315,309,344,347,347,365,386,387,358,339,317,304,298,296,295,295,297,301,315,336,346,367,384,382,394,394,403,412,406,407,425,435,449,452,459,455,456,470,483,486,485,483,476,467,477,475,449,433,421,406,381,362,353,347,320,296,293,292,292,291,290,290,290,291,295,293,292,296,300,305,306,311,312,320,332,356,382,430,466,485,515,552,590,616,672,676,672,663,643,621,597,574,564,552,561,572,598,615,633,692,713,749,792,818,833,864,891,899,903,906,908,912,956,978,990,1006,1041,1065,1085,1102,1146,1159,1192,1237,1271,1303,1311,1283,1248,1207,1174,1149,1119,1118,1121,1105,1084,1073,1065,1060,1060,1078,1118,1167,1209,1233,1227,1236,1256,1296,666,709,770,817,879,934,998,1046,1138,1189,1156,1046,994,961,928,885,864,844,844,841,854,864,869,874,877,880,879,881,892,917,936,949,965,972,968,962,934,938,920,911,941,971,1002,1005,1014,1028,1024,1011,997,961,915,857,815,754,694,648,597,541,514,487,471,456,440,402,366,354,347,345,346,347,346,343,341,336,329,305,293,286,285,281,276,273,272,272,272,272,272,273,270,272,273,273,272,274,290,305,323,332,364,377,367,361,361,361,359,337,314,313,348,361,373,386,389,368,339,321,308,304,304,295,293,299,301,313,334,349,372,389,392,394,401,405,411,414,411,424,440,444,445,451,456,456,464,488,490,495,501,482,475,470,475,461,450,426,412,392,372,357,347,326,301,293,292,292,291,291,291,290,291,292,292,293,294,298,304,310,313,317,322,329,351,365,413,456,488,511,549,578,626,661,720,741,726,703,672,644,620,574,568,597,578,579,588,593,631,655,693,729,767,793,814,842,867,872,876,882,872,901,929,946,956,979,1011,1032,1068,1106,1129,1161,1192,1225,1258,1293,1312,1303,1271,1223,1193,1174,1154,1155,1150,1125,1108,1102,1081,1078,1086,1107,1147,1203,1237,1251,1258,1276,1283,1303,649,712,768,813,865,933,987,1030,1134,1186,1157,1057,1005,968,936,893,871,852,852,847,865,866,869,877,884,885,890,890,900,923,938,953,976,974,972,966,938,938,922,919,951,985,1018,1015,1019,1036,1021,1022,995,957,912,842,801,742,686,643,591,535,504,478,453,442,421,390,362,351,345,343,344,346,345,343,340,336,325,303,291,286,283,280,276,273,272,272,272,272,272,273,270,272,273,272,272,275,300,310,333,347,369,374,364,362,360,360,361,335,312,311,338,356,373,381,379,357,331,317,307,307,308,294,293,300,305,328,342,364,385,394,395,399,406,409,413,413,416,433,442,442,447,459,459,459,476,501,494,505,495,481,478,473,469,460,456,426,406,387,366,353,340,317,298,292,292,291,291,291,291,290,291,292,292,294,295,299,306,311,316,323,328,337,364,393,415,472,495,523,563,595,643,688,735,758,744,717,685,656,630,583,567,612,607,598,612,606,615,646,671,718,748,778,799,830,857,862,865,872,856,890,908,924,936,960,998,1023,1063,1094,1138,1170,1210,1229,1259,1288,1309,1311,1278,1229,1201,1186,1169,1168,1159,1136,1116,1113,1092,1090,1103,1123,1162,1223,1254,1263,1275,1292,1297,1304,613,705,751,785,857,908,967,1018,1119,1183,1163,1067,1019,980,949,911,887,865,868,866,891,877,871,884,896,903,911,913,926,940,961,979,1002,989,991,970,943,947,925,942,973,996,1020,1018,1042,1036,1041,1035,1013,951,883,823,777,725,663,624,578,525,489,461,435,410,394,372,355,347,344,341,341,346,343,343,338,333,320,298,288,275,282,280,277,274,273,272,272,272,273,270,271,273,272,272,274,290,324,334,347,376,380,367,362,359,358,359,362,340,311,300,322,337,349,353,351,341,317,310,309,312,307,291,295,307,324,346,363,387,398,399,404,415,414,414,415,416,431,435,439,443,461,465,465,476,508,507,508,494,486,481,479,493,477,476,448,420,393,375,357,344,329,306,293,292,292,291,291,291,290,291,291,293,296,297,298,303,309,316,322,331,341,361,394,433,459,492,513,543,592,633,661,718,776,792,785,749,710,678,639,621,577,624,662,652,652,645,622,619,637,681,712,750,776,804,831,841,837,839,835,865,888,932,958,998,1033,1056,1075,1103,1143,1180,1225,1248,1261,1283,1306,1316,1294,1245,1219,1211,1196,1195,1171,1154,1140,1124,1117,1120,1137,1161,1203,1252,1286,1297,1301,1322,1323,1309,612,678,714,769,823,886,942,993,1075,1164,1159,1078,1029,990,954,933,903,877,875,896,907,887,877,890,897,918,935,942,959,967,981,1003,1010,1002,991,974,963,953,932,962,993,1010,1023,1032,1040,1047,1050,1016,983,943,866,810,768,713,651,598,559,518,483,447,422,401,386,364,350,345,343,337,339,342,340,337,328,324,313,291,284,283,281,280,276,275,276,272,272,273,270,271,272,272,273,273,280,302,356,371,370,388,375,364,361,358,359,360,363,342,320,296,303,319,334,333,329,319,310,309,318,316,291,299,305,327,355,370,385,403,406,410,417,423,417,417,416,426,436,438,447,461,467,466,488,508,512,519,496,488,495,484,507,497,483,468,437,411,383,364,347,334,322,296,292,292,292,291,291,290,291,291,291,294,299,302,303,307,313,319,331,341,365,387,426,470,490,504,533,565,612,667,716,734,798,816,807,767,733,693,649,659,592,645,700,693,688,675,645,670,662,661,677,725,747,770,796,809,790,814,845,893,918,952,980,1022,1065,1084,1107,1122,1159,1194,1236,1260,1280,1302,1319,1321,1302,1257,1242,1221,1225,1216,1191,1174,1153,1140,1139,1155,1177,1201,1247,1285,1311,1318,1319,1342,1342,1312,586,635,697,749,797,858,913,956,1044,1141,1149,1090,1040,997,966,955,914,884,885,918,914,908,898,898,915,950,965,963,994,994,991,999,1006,995,986,975,988,958,944,975,1010,1029,1031,1036,1035,1037,999,957,926,885,837,785,745,688,630,584,538,508,476,437,412,392,378,361,348,346,339,335,337,337,335,327,321,318,307,283,275,280,279,274,273,275,275,272,272,270,270,273,272,272,272,273,296,313,350,382,390,381,369,363,360,360,361,362,365,359,328,294,294,307,311,311,313,306,307,321,323,312,289,298,318,352,373,387,403,413,417,422,432,425,416,416,418,436,438,452,464,477,467,486,515,522,525,503,493,503,492,507,513,489,476,456,430,402,373,356,344,331,305,293,292,292,292,291,291,290,291,291,292,296,301,307,309,314,317,324,337,347,384,413,460,498,514,518,552,587,639,699,761,777,812,846,831,798,764,720,694,697,619,673,730,732,723,708,677,705,702,682,692,692,705,728,751,769,810,846,871,902,932,969,1003,1047,1086,1112,1139,1156,1186,1203,1238,1270,1287,1307,1336,1333,1302,1268,1267,1243,1249,1231,1215,1190,1173,1156,1169,1192,1223,1249,1293,1330,1347,1348,1335,1356,1346,1309,570,609,687,731,783,849,899,943,1030,1137,1147,1090,1045,1002,973,959,911,894,894,917,917,913,910,903,924,967,979,973,1004,1004,998,998,996,990,987,989,998,960,955,979,1019,1039,1035,1046,1028,1009,977,939,906,864,819,774,737,682,623,577,530,497,469,429,407,389,375,360,349,345,339,334,336,337,329,323,317,315,305,281,277,278,277,272,272,273,274,272,272,270,271,272,272,272,272,273,303,333,354,384,388,378,366,362,360,361,362,363,365,350,323,294,291,302,303,304,305,302,308,322,322,306,290,298,336,363,379,393,411,417,422,425,436,424,416,416,426,438,438,459,478,480,469,505,525,519,526,502,497,512,491,514,506,488,470,453,425,396,368,354,343,323,299,292,292,292,292,291,291,291,291,291,292,297,302,310,314,319,322,328,343,365,380,420,475,510,528,523,564,594,647,713,779,796,826,865,847,815,777,738,722,723,677,721,747,750,739,726,697,720,723,708,708,710,713,723,738,761,809,860,878,907,944,977,1012,1057,1101,1129,1151,1174,1198,1210,1242,1272,1292,1313,1340,1337,1305,1280,1276,1258,1259,1240,1225,1203,1183,1174,1187,1213,1244,1273,1316,1346,1363,1360,1345,1356,1352,1309,531,589,652,680,759,817,872,931,1014,1099,1140,1089,1046,1006,986,957,922,913,915,921,918,917,925,922,933,975,985,985,1000,1007,1005,1000,1005,1013,1013,1020,998,965,973,992,1026,1028,1037,1033,994,963,935,903,868,824,780,748,716,663,607,569,519,472,446,417,397,379,369,356,348,341,340,331,335,332,324,318,312,310,285,273,271,271,271,271,272,272,272,273,270,270,272,272,272,272,273,278,316,360,371,388,384,372,362,360,360,364,364,363,354,330,313,295,287,293,293,294,291,300,304,306,306,286,304,333,330,360,384,407,418,424,426,431,437,418,416,418,432,437,457,478,494,474,492,522,522,523,519,518,523,502,513,502,490,479,462,441,414,382,355,348,338,307,294,292,292,292,291,291,291,291,291,292,293,298,305,315,320,327,331,340,358,389,420,436,488,515,536,555,579,614,663,727,787,826,863,875,854,823,793,769,773,760,717,744,791,784,774,759,715,760,756,742,749,746,754,760,764,764,793,847,887,919,960,989,1025,1077,1129,1156,1173,1201,1217,1227,1258,1285,1300,1328,1342,1335,1308,1312,1295,1285,1276,1253,1245,1221,1196,1201,1220,1252,1288,1316,1353,1377,1383,1388,1370,1375,1361,1313,499,549,604,664,720,790,861,904,983,1051,1103,1080,1043,1023,1004,962,947,940,934,947,930,925,947,950,953,976,989,992,1014,1025,1024,1021,1027,1039,1026,1021,995,983,988,1012,1029,1022,1029,992,949,921,888,867,835,791,751,707,676,633,588,553,501,453,432,408,388,368,363,352,343,338,328,333,330,322,320,312,310,299,272,271,271,271,271,271,272,271,273,270,269,272,271,272,273,271,273,289,328,373,392,389,385,372,360,360,362,365,358,337,329,315,304,295,284,283,281,281,284,292,291,286,285,294,344,353,351,365,390,416,421,423,428,423,416,415,418,426,439,457,476,498,483,483,515,521,522,528,528,536,524,507,499,486,486,472,440,425,389,362,347,339,314,295,292,292,292,292,291,291,291,291,291,292,294,299,306,318,326,336,341,355,383,409,450,478,503,535,555,577,607,634,662,727,794,840,894,900,872,832,818,814,811,777,746,759,818,831,811,789,762,791,787,777,789,782,794,797,799,801,782,832,874,925,962,995,1031,1090,1145,1164,1193,1212,1225,1240,1270,1298,1315,1340,1345,1335,1328,1345,1315,1308,1284,1265,1251,1227,1214,1236,1261,1292,1336,1360,1382,1407,1416,1416,1389,1384,1366,1316,489,534,588,632,683,771,827,878,950,1027,1066,1055,1049,1043,1020,974,974,973,957,960,947,936,962,975,970,977,992,1004,1034,1039,1041,1040,1044,1049,1042,1031,998,1004,1004,1014,1029,1030,1011,953,912,887,849,820,801,761,718,672,642,595,548,520,471,433,416,399,378,361,356,347,343,328,328,325,319,317,315,309,299,276,271,271,271,271,271,271,271,273,270,269,274,272,272,271,272,272,274,301,327,359,394,392,388,363,355,360,364,362,346,323,312,304,295,287,280,278,277,277,279,281,281,283,287,324,351,352,366,374,398,410,414,416,414,414,418,421,426,435,451,475,496,482,487,511,533,528,538,530,545,534,515,516,490,488,479,449,418,398,370,350,339,319,298,293,292,292,292,292,291,291,291,291,291,292,295,300,310,321,330,343,353,376,402,433,480,505,511,548,567,596,638,672,711,729,786,837,904,919,891,853,847,854,832,796,764,774,839,889,852,825,818,829,826,804,807,819,827,828,834,837,815,830,862,912,957,997,1033,1085,1149,1177,1199,1223,1231,1241,1269,1298,1316,1337,1339,1341,1344,1357,1344,1331,1294,1273,1255,1234,1242,1273,1300,1336,1369,1405,1412,1424,1444,1434,1403,1365,1344,1301,486,526,576,617,675,751,811,868,931,1017,1049,1047,1062,1051,1024,982,987,984,968,965,956,943,967,978,979,992,1004,1014,1047,1050,1052,1051,1051,1055,1047,1037,1004,1014,1015,1015,1019,1012,989,935,887,866,829,800,782,744,701,656,624,573,531,500,457,425,408,392,375,358,352,344,330,320,322,321,316,317,312,307,285,272,271,271,271,271,271,271,271,270,270,269,272,272,271,272,272,272,279,309,329,362,395,394,390,360,353,360,360,356,337,317,307,296,290,282,279,277,276,276,279,279,281,284,294,324,341,354,369,380,392,405,408,411,413,415,424,426,429,442,459,484,494,480,500,525,537,543,536,531,543,525,517,508,486,485,472,437,406,388,361,345,328,308,296,292,292,292,292,291,291,291,291,291,292,292,296,301,311,322,332,346,355,385,413,450,495,514,527,541,573,602,651,698,731,752,790,834,909,926,901,864,865,866,843,808,778,783,845,900,867,844,829,842,835,821,816,833,838,840,849,849,832,821,849,904,949,996,1032,1086,1153,1179,1193,1220,1231,1242,1263,1288,1310,1324,1334,1338,1349,1361,1360,1332,1299,1275,1263,1243,1258,1293,1319,1353,1393,1427,1419,1436,1454,1434,1401,1353,1323,1284,467,508,558,595,650,722,790,834,913,976,1012,1042,1069,1061,1030,996,999,1001,991,973,977,966,981,995,1013,1018,1029,1032,1046,1065,1075,1076,1076,1078,1060,1051,1016,1035,1022,1012,996,979,939,902,854,809,779,756,738,707,669,604,571,532,493,467,432,411,396,381,365,354,346,310,320,316,317,316,314,314,309,292,272,271,271,271,271,271,271,271,272,270,269,271,271,271,272,272,272,272,290,333,348,370,398,397,386,353,345,347,342,334,319,308,294,285,280,276,275,276,276,277,278,279,286,288,310,323,339,365,382,399,404,409,413,416,417,425,431,431,440,451,473,482,480,497,530,540,544,542,538,551,541,518,519,499,488,470,443,414,381,364,344,334,307,299,293,292,292,292,292,291,291,291,291,291,292,293,298,306,316,330,342,358,376,379,435,483,516,528,544,555,569,601,661,719,770,802,825,860,927,952,922,895,904,894,868,839,781,812,882,917,887,873,858,866,863,850,845,864,865,863,869,873,863,855,864,899,942,991,1030,1085,1144,1175,1183,1212,1224,1241,1257,1267,1278,1298,1325,1339,1363,1377,1359,1327,1307,1276,1274,1265,1296,1336,1358,1394,1441,1445,1437,1442,1439,1405,1364,1317,1283,1239,454,495,540,577,629,690,763,813,889,960,991,1036,1063,1050,1027,1009,1027,1022,1014,986,988,988,999,1031,1046,1046,1050,1058,1068,1088,1099,1093,1098,1086,1072,1053,1036,1047,1035,1017,982,943,903,870,829,775,724,692,682,664,619,562,533,499,462,436,415,398,386,368,355,347,337,309,311,314,317,314,312,311,296,271,270,271,271,271,271,271,271,272,269,269,272,272,271,271,271,272,272,272,297,338,378,381,400,394,381,360,332,322,317,313,304,297,283,276,274,273,273,275,276,277,279,282,297,299,320,342,361,382,398,403,409,418,419,417,422,429,431,437,447,463,482,480,492,537,535,544,551,542,557,553,527,523,513,484,477,443,420,390,361,343,327,311,298,295,293,293,292,292,292,291,291,291,291,292,292,296,306,315,323,341,355,378,400,423,459,515,532,544,562,579,577,642,690,709,774,843,868,899,968,964,935,934,948,921,889,851,811,850,902,930,906,894,884,896,892,883,876,895,900,896,895,897,896,890,904,913,955,991,1025,1081,1137,1157,1181,1194,1210,1226,1250,1251,1253,1282,1318,1343,1357,1379,1347,1325,1305,1300,1290,1298,1330,1371,1397,1428,1452,1453,1442,1413,1386,1353,1312,1274,1244,1208,447,487,531,567,619,673,750,787,902,965,999,1036,1061,1052,1038,1021,1039,1031,1022,996,994,996,1016,1047,1060,1058,1064,1074,1079,1094,1107,1100,1102,1086,1072,1053,1045,1051,1042,1021,974,936,888,855,807,758,699,671,659,638,594,545,517,484,449,425,407,392,380,361,351,341,318,309,309,314,317,313,311,304,274,270,270,270,271,271,271,271,271,270,269,270,271,272,271,271,271,272,273,273,297,330,370,373,399,390,383,364,339,317,308,303,296,291,279,274,272,273,274,275,275,277,281,288,305,308,327,346,366,391,401,405,416,419,424,419,424,429,434,440,453,471,480,483,507,549,545,552,558,547,557,552,522,527,500,485,464,432,410,376,350,333,315,304,296,294,293,293,293,292,292,291,291,291,292,292,293,300,308,319,331,349,360,390,419,440,458,529,540,555,574,593,588,661,712,738,766,849,891,924,981,965,948,954,966,933,901,857,835,875,912,941,917,898,897,907,907,900,894,914,919,914,914,913,911,911,924,913,963,1000,1030,1078,1130,1147,1172,1188,1202,1214,1234,1236,1244,1278,1318,1350,1349,1373,1349,1333,1308,1307,1297,1315,1349,1388,1409,1441,1449,1449,1430,1395,1362,1325,1293,1260,1231,1195,434,469,513,546,597,659,715,777,894,953,1021,1034,1053,1061,1055,1042,1058,1051,1030,1014,1001,1010,1052,1082,1088,1088,1094,1100,1108,1113,1118,1117,1108,1091,1075,1057,1024,1051,1011,968,950,907,860,813,762,722,670,630,617,596,560,519,488,457,431,409,394,381,367,351,342,331,309,305,308,313,313,307,281,272,269,270,270,270,270,271,271,271,269,269,269,271,271,270,270,271,271,272,272,278,303,333,351,368,391,386,387,369,352,345,307,293,284,277,273,272,272,273,274,275,277,284,296,306,318,332,339,356,379,400,404,412,418,418,421,424,428,434,441,451,470,481,481,508,545,549,556,567,564,571,558,534,525,501,481,474,438,405,385,354,328,315,301,295,294,294,293,293,292,292,292,291,291,291,292,292,295,312,317,328,348,365,385,423,449,467,508,522,561,577,597,630,651,672,740,780,812,860,928,987,1002,985,980,993,995,958,918,866,877,917,953,975,943,930,934,938,937,928,932,948,954,954,957,953,938,936,948,947,938,995,1026,1069,1110,1132,1152,1179,1191,1195,1202,1227,1261,1302,1329,1350,1355,1375,1352,1341,1314,1321,1315,1338,1390,1425,1432,1450,1454,1429,1395,1354,1327,1302,1259,1238,1218,1184,418,454,498,530,583,638,701,769,873,939,995,1062,1061,1072,1067,1058,1066,1065,1042,1026,1026,1038,1078,1110,1113,1120,1127,1126,1134,1141,1138,1135,1116,1102,1075,1018,970,941,911,884,888,857,818,765,725,694,642,594,581,557,526,494,467,436,415,396,381,367,352,344,334,303,300,305,310,306,295,276,272,270,270,270,270,270,270,270,271,270,269,269,271,271,271,271,270,271,271,272,272,282,307,355,354,377,384,384,383,376,361,336,311,296,288,275,272,272,272,273,274,283,287,298,317,324,334,348,358,366,392,398,405,413,414,417,420,430,440,441,448,470,480,486,499,537,569,565,576,582,573,567,541,522,507,479,460,433,401,371,351,333,312,299,295,293,294,294,293,293,293,293,292,292,291,292,292,292,298,317,325,338,363,389,418,447,476,502,530,551,564,599,631,675,711,729,741,802,857,875,965,1013,1032,1020,1015,1024,1029,977,949,908,927,953,1009,1002,954,971,969,978,975,963,968,982,978,978,979,974,960,955,977,982,976,975,1014,1056,1091,1110,1136,1167,1176,1183,1185,1226,1264,1292,1320,1349,1359,1372,1347,1327,1321,1333,1337,1351,1405,1446,1438,1453,1422,1423,1391,1341,1295,1267,1235,1212,1193,1153,401,442,474,508,572,639,714,770,869,937,1012,1081,1081,1074,1079,1076,1079,1068,1065,1059,1049,1062,1092,1111,1133,1152,1156,1158,1162,1163,1158,1145,1088,1060,1045,981,922,874,855,833,826,807,755,710,697,662,615,570,545,527,498,472,448,421,399,387,369,353,340,328,303,296,303,309,292,282,272,272,270,270,270,270,269,270,270,270,271,268,269,271,271,271,271,271,270,270,271,271,274,294,308,327,364,384,384,384,383,360,346,317,304,293,279,272,271,272,272,273,277,293,299,323,339,341,352,364,376,387,393,400,406,410,414,422,432,444,447,449,468,481,490,502,532,576,573,584,579,574,569,557,522,507,480,447,432,404,372,342,323,305,298,294,293,293,293,293,293,294,293,293,293,292,292,292,293,298,307,319,335,355,386,424,448,469,500,534,550,575,596,602,661,718,744,773,783,799,876,929,967,1026,1067,1062,1055,1051,1041,1005,964,942,961,1003,1048,1028,995,1005,1010,1016,1012,1000,1003,1010,1002,998,999,999,995,984,996,1002,1010,997,997,1039,1069,1089,1120,1143,1160,1173,1183,1222,1255,1279,1312,1354,1366,1357,1345,1323,1325,1338,1348,1375,1421,1441,1434,1414,1403,1390,1385,1339,1287,1251,1219,1190,1167,1133,395,431,468,505,574,646,722,782,866,934,1031,1089,1090,1075,1076,1073,1079,1070,1067,1067,1057,1081,1102,1115,1124,1167,1170,1173,1176,1172,1163,1134,1081,1031,1024,972,910,854,826,808,799,787,731,692,690,637,599,556,528,511,489,459,437,412,390,380,362,347,330,317,296,297,308,308,287,276,272,271,32768,270,270,269,270,270,270,271,268,269,270,271,271,271,271,270,270,270,271,271,277,298,313,328,360,384,384,387,385,354,338,314,301,287,275,271,271,272,272,273,281,297,313,336,350,347,360,372,383,393,394,401,406,411,416,427,447,449,452,456,476,487,497,517,549,586,580,590,581,573,554,533,508,489,463,430,416,387,365,332,315,297,295,293,293,293,293,293,293,294,295,294,293,293,293,293,293,300,312,325,344,366,401,440,458,481,510,548,566,586,610,617,662,725,758,793,809,815,884,950,983,1032,1089,1083,1077,1070,1044,1020,969,959,979,1022,1061,1036,1013,1027,1031,1035,1039,1020,1022,1024,1012,1009,1011,1009,1006,997,1004,1013,1022,1027,1019,1032,1059,1082,1110,1129,1150,1163,1182,1216,1243,1279,1318,1351,1358,1354,1339,1329,1328,1334,1351,1382,1434,1436,1414,1398,1392,1377,1373,1339,1286,1246,1215,1183,1167,1130,390,419,458,504,567,644,724,793,875,951,1045,1105,1103,1079,1077,1073,1087,1085,1091,1080,1072,1098,1113,1128,1134,1161,1178,1194,1199,1169,1129,1076,1024,989,971,964,920,812,784,755,741,764,708,654,614,615,558,523,502,482,470,441,419,394,379,364,347,329,313,297,291,309,307,305,281,270,271,270,270,269,269,269,270,270,270,268,269,269,270,270,271,271,270,270,270,270,271,274,293,301,319,351,365,388,390,388,374,352,327,309,296,277,271,271,271,272,272,276,297,316,342,359,365,365,380,386,397,396,401,408,410,413,428,453,459,462,466,475,492,501,521,551,590,596,603,603,582,556,539,519,491,462,433,411,402,370,339,318,299,295,293,293,292,293,293,293,293,294,296,295,295,295,295,294,298,304,322,349,363,397,434,464,480,509,539,556,586,612,636,660,660,711,761,830,863,871,897,987,1034,1068,1124,1124,1124,1105,1081,1045,1019,1002,1025,1064,1092,1070,1054,1066,1068,1074,1079,1064,1059,1046,1035,1026,1034,1029,1024,1016,1018,1034,1046,1055,1046,1022,1046,1071,1090,1111,1126,1138,1173,1201,1230,1268,1320,1347,1346,1345,1339,1346,1329,1340,1364,1396,1433,1421,1400,1396,1376,1365,1356,1327,1281,1239,1200,1172,1156,1124,382,407,449,493,552,621,717,752,867,928,980,1115,1111,1087,1086,1084,1084,1092,1103,1088,1090,1100,1142,1152,1156,1164,1175,1175,1171,1098,1023,990,948,944,921,915,875,761,734,704,689,690,673,628,585,555,523,489,473,461,438,413,395,380,364,350,328,312,301,289,293,305,303,301,271,271,270,269,269,269,270,270,270,270,269,268,268,270,270,270,270,270,270,270,270,272,272,289,303,314,326,363,389,392,382,365,359,343,319,300,288,274,270,270,271,272,272,284,312,349,369,378,380,392,397,405,404,402,417,424,422,428,452,464,475,478,484,504,509,523,556,588,614,620,616,600,565,543,530,509,477,447,418,390,373,343,316,302,295,293,293,293,293,293,293,293,292,294,296,297,297,297,297,297,305,313,343,366,392,424,461,486,512,551,568,578,608,633,667,695,715,728,745,818,896,923,952,997,1079,1122,1162,1166,1160,1126,1106,1069,1052,1034,1078,1090,1126,1111,1102,1107,1107,1109,1103,1094,1082,1068,1061,1053,1052,1046,1035,1034,1038,1053,1072,1075,1066,1040,1049,1057,1070,1103,1133,1162,1178,1195,1218,1265,1315,1337,1351,1341,1343,1339,1337,1348,1375,1410,1419,1418,1393,1371,1355,1341,1320,1291,1261,1232,1181,1151,1131,1102,372,396,441,481,539,601,682,732,811,897,937,1006,1100,1105,1095,1099,1100,1099,1106,1099,1105,1116,1172,1178,1186,1188,1186,1175,1081,1022,978,944,909,879,854,810,750,692,670,644,632,616,606,608,551,525,488,459,447,440,420,396,380,362,344,331,311,299,290,286,303,298,299,283,270,269,269,269,269,269,270,270,270,271,269,268,270,270,270,270,270,271,270,270,270,275,283,303,312,319,342,385,393,401,377,354,349,331,309,292,282,272,270,270,271,272,275,296,337,378,385,390,397,400,407,412,407,416,427,429,426,454,467,484,491,493,508,518,525,557,596,621,631,624,611,584,542,524,513,487,454,427,392,354,344,319,301,294,294,293,293,293,293,293,293,293,293,294,295,299,298,299,299,302,316,338,362,391,417,451,482,515,547,592,598,601,628,662,699,740,766,772,780,804,888,960,1016,1031,1123,1188,1211,1204,1184,1159,1134,1113,1079,1082,1113,1134,1157,1149,1141,1143,1143,1138,1128,1118,1097,1084,1075,1071,1063,1059,1055,1052,1054,1076,1103,1097,1083,1059,1067,1072,1082,1107,1139,1167,1191,1208,1236,1280,1306,1337,1354,1339,1337,1333,1337,1358,1383,1426,1421,1401,1380,1352,1326,1312,1288,1256,1224,1198,1166,1125,1103,1075,366,389,435,475,533,597,689,728,790,879,896,978,1068,1115,1101,1105,1105,1106,1105,1102,1112,1124,1171,1189,1187,1190,1170,1133,1052,1003,957,918,891,854,826,777,724,674,643,627,605,591,580,584,536,511,476,445,435,431,413,390,374,355,332,319,304,295,287,284,301,297,295,273,269,269,269,269,269,270,270,270,270,268,268,270,270,270,270,270,270,270,270,270,271,279,289,313,317,325,355,389,398,395,370,355,340,334,307,289,279,271,270,270,271,272,278,303,348,387,392,398,403,404,410,412,410,420,435,427,436,465,477,491,500,500,515,523,539,573,614,634,635,624,605,573,533,513,497,460,436,411,375,334,327,306,297,294,294,293,293,293,293,293,293,293,293,294,295,299,299,300,300,308,325,349,371,407,430,465,497,532,567,605,610,615,640,678,708,752,784,792,799,824,887,960,1035,1072,1137,1201,1228,1214,1198,1177,1148,1132,1097,1106,1132,1156,1176,1166,1160,1160,1157,1147,1135,1124,1104,1092,1082,1081,1069,1067,1066,1060,1063,1089,1112,1105,1093,1064,1069,1082,1094,1109,1138,1166,1194,1222,1254,1293,1311,1335,1350,1340,1332,1333,1352,1367,1398,1424,1420,1390,1369,1338,1316,1296,1267,1235,1203,1177,1151,1121,1088,1064,354,379,422,460,506,581,659,694,783,823,875,917,992,1133,1109,1079,1088,1103,1111,1117,1122,1133,1151,1166,1152,1130,1109,1063,1013,967,928,892,847,812,787,752,682,641,607,586,558,542,531,520,508,479,449,416,415,419,410,380,363,344,319,308,296,291,282,280,289,286,272,269,269,269,269,270,269,270,270,270,269,267,269,270,270,270,270,270,270,270,270,271,274,289,303,338,332,345,369,396,390,380,372,348,332,316,303,284,276,270,270,270,271,277,291,320,371,400,408,413,414,411,413,411,417,425,424,437,462,481,499,506,507,512,528,545,570,603,634,645,632,607,588,546,514,493,474,445,414,389,342,313,306,296,294,294,293,293,293,293,293,293,293,293,293,294,296,299,302,302,306,323,349,367,398,432,460,497,528,569,606,622,635,649,673,706,754,777,820,828,847,865,905,980,1041,1129,1184,1236,1255,1247,1228,1211,1178,1159,1142,1143,1166,1192,1210,1204,1199,1195,1181,1168,1161,1149,1132,1115,1106,1098,1087,1084,1078,1083,1095,1118,1125,1115,1096,1084,1077,1096,1112,1125,1155,1178,1211,1253,1280,1312,1327,1331,1333,1333,1332,1340,1362,1398,1429,1428,1403,1368,1339,1299,1277,1264,1236,1197,1161,1143,1114,1090,1069,1044,343,365,400,433,490,546,607,659,766,799,821,881,995,1108,1099,1039,1043,1067,1123,1137,1118,1129,1114,1104,1082,1081,1064,1019,977,937,914,876,800,772,750,699,646,603,577,545,521,502,488,475,463,447,422,398,400,402,401,365,350,331,305,300,294,286,279,278,280,270,269,269,269,268,269,269,269,270,270,268,267,267,270,270,270,270,270,270,270,270,270,273,285,307,318,355,361,360,389,406,376,364,356,338,321,307,295,280,272,270,270,270,272,286,304,338,391,413,421,425,420,417,415,414,416,418,428,464,484,508,519,508,508,523,561,568,584,620,629,628,612,589,576,530,499,480,455,426,394,373,329,306,297,295,294,294,294,294,294,293,293,293,293,293,293,294,296,299,303,306,321,343,368,389,425,459,490,528,561,606,631,640,664,682,703,747,796,813,844,890,906,918,965,1013,1080,1145,1236,1269,1275,1265,1259,1239,1222,1188,1179,1188,1201,1227,1248,1245,1238,1228,1211,1208,1202,1191,1172,1147,1138,1121,1108,1099,1103,1111,1125,1147,1133,1113,1115,1102,1095,1107,1122,1144,1175,1207,1231,1283,1305,1332,1348,1323,1323,1330,1347,1356,1384,1413,1426,1420,1398,1343,1307,1266,1232,1205,1187,1147,1119,1096,1082,1050,1025,995,338,358,391,424,477,536,594,649,732,774,800,896,977,1092,1091,1018,1021,1051,1108,1120,1115,1123,1095,1087,1057,1053,1033,993,959,924,900,860,786,749,731,676,628,585,560,526,502,484,469,454,441,430,411,389,392,392,394,357,341,325,302,297,294,287,278,277,271,269,269,269,268,268,269,269,269,270,270,268,267,270,270,270,270,269,270,270,270,270,271,278,291,313,324,362,377,371,402,398,374,361,348,329,314,303,291,278,271,270,270,270,274,290,312,351,399,419,428,429,422,419,416,414,416,419,439,480,490,518,532,508,510,533,577,579,596,623,622,616,595,581,565,525,493,467,446,417,386,361,322,302,296,295,294,294,294,293,293,293,293,293,293,293,293,294,296,298,303,307,326,351,375,403,436,474,508,541,580,624,637,652,680,704,731,764,813,835,867,910,933,960,1002,1026,1102,1158,1248,1281,1287,1282,1277,1274,1242,1210,1202,1210,1223,1245,1271,1266,1258,1246,1230,1228,1234,1223,1192,1166,1153,1135,1117,1109,1118,1127,1136,1157,1135,1130,1125,1113,1102,1111,1127,1150,1185,1221,1255,1293,1314,1340,1353,1322,1318,1331,1353,1364,1393,1415,1421,1412,1390,1326,1292,1248,1211,1181,1155,1127,1090,1073,1059,1023,1006,972,330,347,375,407,459,508,580,635,689,735,788,834,889,968,1022,978,980,1032,1086,1105,1082,1074,1038,1007,996,996,973,940,921,907,871,839,776,708,679,635,587,552,525,495,472,454,436,418,404,399,388,378,374,372,378,340,325,309,297,295,291,290,280,272,270,268,269,269,269,269,269,269,269,270,267,267,268,269,270,270,269,270,269,270,270,270,273,286,303,317,344,377,391,401,402,389,378,362,332,319,305,287,278,273,270,270,270,271,280,303,335,378,413,432,437,436,422,419,419,415,419,433,464,500,502,529,526,514,520,565,585,588,610,615,627,607,571,559,544,506,475,450,426,398,373,345,310,297,295,295,294,294,293,294,293,293,293,294,293,293,293,294,295,298,305,322,331,365,397,426,461,507,532,565,606,636,646,675,713,740,781,813,843,876,909,945,982,1050,1051,1081,1117,1204,1275,1283,1297,1308,1313,1304,1274,1250,1247,1251,1263,1292,1322,1312,1301,1284,1272,1269,1262,1257,1235,1211,1192,1166,1143,1137,1144,1150,1166,1163,1158,1155,1148,1125,1115,1118,1134,1169,1224,1251,1302,1306,1325,1336,1340,1321,1314,1315,1344,1360,1395,1406,1400,1384,1362,1309,1277,1234,1181,1148,1110,1074,1047,1024,1001,973,952,935,322,334,358,388,433,479,530,579,619,719,744,790,869,877,931,916,953,1023,1041,1050,1021,1014,975,952,945,949,919,889,887,884,849,811,754,688,649,596,556,519,495,465,448,433,415,396,377,373,372,367,358,358,355,322,310,300,294,291,290,287,279,270,268,269,269,268,269,269,269,269,270,268,267,269,269,269,270,270,269,270,270,270,273,271,281,300,315,333,357,385,400,413,391,370,356,345,322,317,296,276,273,271,269,270,271,273,288,317,347,393,424,438,439,429,418,419,413,416,426,437,480,500,510,523,533,524,538,577,587,588,603,618,615,596,567,548,529,487,452,430,406,380,350,326,301,295,295,294,295,294,294,293,293,293,293,293,293,293,293,294,296,299,316,336,360,367,388,439,478,531,540,571,602,633,647,687,715,743,789,836,882,915,950,1007,1038,1076,1114,1145,1174,1225,1271,1269,1279,1318,1333,1319,1310,1292,1293,1300,1316,1326,1330,1322,1318,1302,1295,1290,1280,1266,1255,1248,1230,1206,1184,1175,1173,1174,1184,1183,1204,1182,1166,1137,1127,1130,1148,1190,1242,1283,1323,1322,1327,1332,1331,1311,1310,1298,1316,1347,1394,1397,1387,1365,1331,1279,1242,1204,1158,1123,1074,1032,997,984,958,932,910,891,314,321,337,367,401,439,488,516,569,673,682,747,787,808,789,826,880,993,948,958,924,953,926,904,899,902,846,843,850,861,819,777,718,663,627,568,533,496,468,440,426,415,399,383,366,346,356,344,341,343,321,307,295,293,291,289,277,269,270,268,268,268,269,269,269,269,269,269,267,267,268,269,269,269,269,269,269,269,269,270,270,279,292,312,324,361,376,395,413,427,406,371,336,324,315,297,285,272,271,270,270,273,274,275,300,331,362,407,430,437,431,418,409,411,407,421,435,449,478,490,499,526,536,533,556,587,584,588,595,618,603,576,552,535,513,474,442,420,391,364,332,310,297,295,295,295,294,294,294,293,294,294,293,293,293,293,294,295,300,306,333,352,378,399,425,426,442,493,524,556,585,624,644,680,709,729,771,822,877,918,971,1027,1061,1089,1141,1182,1193,1213,1243,1247,1257,1281,1303,1309,1306,1303,1306,1315,1312,1308,1313,1318,1317,1316,1310,1305,1295,1281,1279,1278,1254,1228,1220,1209,1204,1206,1200,1218,1230,1210,1184,1148,1137,1146,1173,1211,1259,1298,1324,1318,1323,1339,1330,1304,1306,1285,1311,1353,1402,1374,1362,1338,1292,1250,1215,1169,1124,1090,1048,1002,966,951,930,905,879,855,311,315,329,353,386,424,471,500,571,647,634,714,756,787,762,788,864,962,928,901,882,928,903,877,875,861,801,815,827,835,795,755,709,649,612,561,517,487,452,430,417,406,391,373,358,340,347,336,336,325,314,300,293,292,289,280,269,268,268,268,268,268,269,269,268,269,269,270,267,267,269,269,270,269,269,269,269,269,270,269,273,283,297,315,332,362,382,400,421,420,399,381,337,320,311,292,278,271,270,269,270,273,275,278,306,336,367,404,427,430,420,410,403,410,407,423,443,461,479,489,496,526,535,545,566,590,583,585,596,610,596,568,544,524,505,466,436,417,382,354,324,304,296,295,294,294,294,294,294,294,293,294,293,293,293,293,294,297,303,316,340,366,387,409,435,452,467,477,509,547,577,612,634,672,702,722,760,813,867,911,970,1016,1048,1087,1141,1181,1179,1196,1225,1231,1242,1259,1279,1292,1289,1289,1295,1307,1307,1303,1304,1314,1320,1323,1315,1310,1301,1288,1287,1284,1262,1232,1227,1220,1221,1221,1214,1233,1236,1222,1192,1153,1152,1160,1191,1225,1265,1302,1318,1313,1317,1335,1326,1296,1295,1280,1311,1356,1402,1378,1356,1329,1279,1245,1201,1149,1108,1075,1038,998,956,940,922,891,868,844,304,304,312,331,361,403,440,469,508,572,584,672,700,690,709,725,841,865,859,820,804,893,856,830,829,761,760,759,781,770,764,718,680,629,584,538,493,462,428,407,398,390,375,365,349,338,331,331,326,312,301,292,291,290,278,268,268,268,268,268,268,268,268,269,268,269,269,267,267,269,269,269,269,268,268,269,269,269,269,270,277,289,305,323,345,377,391,410,416,409,383,364,341,318,295,278,271,269,269,269,270,273,276,283,313,344,365,391,411,406,401,398,398,403,415,451,464,475,485,495,501,520,541,578,589,590,578,575,593,593,574,555,522,500,480,449,424,407,370,326,303,297,295,295,294,294,295,294,294,294,294,293,293,293,293,293,294,302,313,332,365,381,403,426,455,488,509,510,516,522,556,590,617,652,685,703,742,796,850,895,951,989,1023,1073,1120,1144,1153,1163,1186,1201,1207,1221,1236,1262,1262,1258,1263,1278,1290,1285,1304,1319,1321,1326,1322,1318,1308,1305,1300,1269,1259,1242,1235,1234,1237,1247,1247,1264,1253,1234,1201,1172,1184,1186,1220,1241,1262,1286,1295,1287,1296,1306,1306,1270,1266,1282,1328,1369,1397,1369,1352,1303,1252,1215,1185,1130,1086,1060,1026,983,947,927,908,878,857,827,299,298,300,314,343,379,410,433,470,510,562,615,605,633,682,700,791,806,802,775,739,829,793,770,754,697,711,712,717,720,723,688,640,601,556,511,475,442,422,391,380,376,364,351,341,332,317,319,307,302,296,291,291,282,268,268,268,268,268,268,268,268,268,268,269,269,266,269,269,269,269,269,268,269,269,269,269,268,270,272,286,300,316,329,363,388,401,410,406,398,383,346,322,308,286,270,268,268,268,269,269,273,283,290,311,338,361,382,380,386,392,397,408,411,424,461,473,480,494,505,510,531,565,592,608,585,572,568,584,576,558,537,504,496,477,439,409,381,342,306,298,296,296,295,295,295,294,294,294,294,294,293,293,293,293,294,297,309,324,351,377,390,418,454,492,531,545,549,537,571,552,568,598,627,661,680,727,776,830,874,923,964,1003,1051,1098,1118,1122,1133,1157,1170,1174,1188,1200,1227,1235,1236,1239,1254,1268,1273,1289,1300,1322,1325,1320,1320,1313,1314,1286,1265,1258,1250,1244,1239,1245,1271,1281,1283,1264,1232,1207,1194,1199,1209,1230,1257,1251,1256,1263,1257,1260,1276,1284,1262,1262,1309,1348,1354,1388,1361,1340,1290,1255,1208,1179,1131,1086,1053,1019,971,941,924,903,874,860,831,296,293,293,299,326,352,381,400,437,466,495,537,538,599,601,675,739,737,744,680,690,691,665,663,660,626,655,658,674,664,669,644,609,567,528,486,455,425,407,382,364,360,352,340,329,323,306,308,297,294,290,290,290,268,268,268,268,267,268,268,268,268,268,269,269,268,267,268,269,269,269,269,268,268,269,269,270,269,270,280,291,312,326,346,380,397,406,400,394,388,377,347,314,298,277,270,267,268,268,268,270,275,295,313,307,326,349,363,392,398,397,404,410,415,437,457,472,481,511,511,527,563,592,624,616,584,561,560,566,553,534,515,496,478,459,424,389,355,321,301,297,296,295,295,295,294,294,294,294,294,294,293,293,294,295,299,304,322,342,368,389,409,445,476,534,577,584,580,581,596,607,599,593,599,632,667,707,763,809,841,883,946,979,1037,1077,1091,1089,1109,1129,1140,1154,1158,1170,1188,1209,1220,1227,1242,1249,1269,1278,1291,1307,1309,1322,1316,1316,1304,1276,1260,1264,1245,1245,1243,1266,1294,1297,1290,1270,1235,1225,1205,1210,1222,1235,1244,1236,1233,1230,1220,1222,1250,1250,1256,1272,1310,1345,1350,1333,1339,1327,1285,1242,1201,1167,1119,1070,1039,1005,962,933,916,898,875,855,832,295,291,289,292,316,342,366,384,421,444,461,497,515,560,572,652,701,711,688,641,665,661,644,630,627,603,621,649,648,644,641,627,589,555,517,475,447,410,401,374,357,353,347,334,324,318,307,300,294,289,283,292,287,267,269,268,267,268,268,267,267,268,268,268,269,266,268,269,269,269,269,269,268,268,269,269,269,271,273,282,296,318,330,364,385,400,401,395,388,385,369,337,310,295,274,269,267,268,268,268,270,278,303,320,314,327,338,366,405,407,399,409,411,416,439,457,474,492,518,520,543,583,608,624,605,575,557,557,548,543,519,500,485,467,447,411,376,346,313,300,297,296,295,295,295,294,294,294,294,294,294,293,293,294,297,301,309,334,348,374,397,419,458,500,558,594,593,597,597,599,625,624,620,621,626,659,695,756,792,824,875,938,970,1024,1069,1078,1078,1095,1120,1130,1147,1151,1157,1174,1194,1209,1221,1236,1242,1261,1276,1288,1302,1306,1314,1314,1312,1290,1267,1256,1255,1241,1241,1246,1274,1300,1303,1293,1267,1238,1236,1209,1211,1221,1224,1238,1228,1218,1213,1197,1205,1224,1235,1258,1281,1306,1337,1327,1310,1292,1309,1277,1234,1195,1156,1112,1064,1036,1003,963,933,912,893,873,854,830,295,289,287,287,300,323,337,356,385,402,418,454,473,511,535,568,616,619,600,597,615,605,599,574,567,564,567,580,597,601,594,579,548,516,493,458,434,390,368,359,347,335,327,324,315,311,308,297,289,289,284,292,272,269,267,268,268,268,267,267,267,268,268,269,266,266,269,268,269,269,268,268,268,268,269,269,271,269,276,286,307,328,342,374,388,395,389,385,382,370,361,324,298,283,271,267,267,267,267,269,273,289,318,343,321,344,370,404,412,409,417,410,414,418,442,468,491,516,522,552,585,614,638,607,585,560,552,547,536,518,494,483,473,446,424,382,343,323,304,298,297,296,295,295,295,294,294,294,294,294,294,294,294,295,303,310,327,348,367,386,414,438,477,538,596,612,622,631,626,604,659,657,655,658,658,646,679,722,767,805,863,903,944,1011,1060,1063,1068,1080,1102,1116,1137,1141,1144,1156,1179,1212,1219,1228,1234,1249,1265,1286,1302,1300,1293,1297,1289,1266,1257,1253,1241,1238,1241,1250,1263,1291,1296,1289,1259,1247,1238,1210,1203,1202,1207,1209,1190,1184,1178,1159,1187,1181,1210,1247,1273,1291,1326,1296,1281,1247,1237,1255,1212,1170,1136,1098,1054,1021,994,958,931,908,886,864,849,821,291,289,286,285,288,300,312,330,354,368,388,414,439,469,485,515,524,525,536,558,570,561,556,534,520,510,535,538,567,563,542,526,504,480,463,442,415,365,345,338,329,319,313,312,306,303,299,295,292,292,275,279,270,267,267,267,267,267,268,267,268,266,268,266,266,267,268,269,269,269,269,269,268,269,269,270,268,272,285,298,317,333,364,375,386,388,377,380,379,351,345,313,289,277,269,266,266,267,267,270,278,302,341,358,336,343,381,404,420,425,420,411,415,432,452,477,497,512,546,591,610,645,631,595,573,550,544,541,527,501,487,479,443,422,400,359,322,306,299,297,296,296,296,295,295,295,295,294,295,294,294,294,296,300,307,320,343,365,382,401,440,467,507,584,621,640,658,659,653,639,690,698,693,688,686,692,702,711,750,789,831,892,936,1003,1051,1055,1060,1068,1091,1103,1118,1133,1136,1138,1169,1196,1207,1224,1236,1243,1251,1264,1282,1273,1265,1265,1262,1254,1247,1244,1238,1236,1248,1247,1246,1257,1259,1261,1253,1230,1210,1188,1179,1182,1170,1165,1147,1132,1134,1128,1154,1179,1206,1244,1262,1289,1323,1285,1247,1213,1200,1249,1205,1156,1112,1077,1037,1008,980,946,918,899,874,855,838,820,289,288,286,284,283,286,294,308,326,344,361,389,406,426,442,464,472,478,496,517,526,518,515,496,487,477,504,501,537,518,498,482,464,444,431,409,387,341,330,326,313,309,304,303,301,300,294,294,297,289,272,269,267,267,267,268,267,268,268,271,270,268,266,266,268,268,268,269,269,268,269,269,268,268,269,268,273,283,293,309,322,353,364,376,383,370,372,379,365,342,320,303,282,271,266,266,267,267,267,273,291,326,366,352,347,362,368,410,417,441,424,414,425,452,459,480,500,527,579,610,629,648,612,583,558,546,537,529,513,489,485,465,426,399,377,347,310,300,297,296,296,296,295,295,295,295,294,295,294,294,294,294,297,307,317,340,354,376,398,430,469,496,543,597,647,671,692,685,683,692,711,744,740,727,716,725,736,756,773,788,817,879,918,985,1046,1051,1051,1058,1076,1082,1101,1128,1127,1123,1149,1183,1199,1219,1229,1224,1227,1242,1257,1253,1243,1236,1232,1234,1228,1219,1224,1250,1251,1243,1235,1225,1224,1227,1221,1196,1175,1154,1145,1151,1130,1118,1108,1093,1089,1112,1137,1174,1202,1246,1272,1305,1321,1279,1248,1207,1171,1156,1164,1119,1097,1055,1029,1003,969,937,901,888,866,844,834,810,288,287,286,284,283,283,287,299,315,333,351,376,390,405,421,440,450,458,478,495,503,496,492,478,473,462,486,484,511,494,479,462,443,426,411,391,368,334,325,320,306,303,300,301,299,299,294,294,300,284,271,267,267,267,269,267,267,268,268,268,269,269,266,266,268,268,268,269,269,268,269,268,268,270,268,274,280,289,300,313,328,353,364,377,380,363,373,374,353,335,310,295,277,269,266,266,267,266,267,279,303,343,361,350,350,369,383,404,415,440,426,416,433,456,462,479,509,542,601,620,645,641,605,575,553,545,532,521,504,485,482,455,418,389,361,337,304,298,297,296,296,296,295,295,295,295,295,295,294,294,294,294,298,309,327,345,365,385,410,442,479,512,560,611,659,693,706,700,700,708,720,764,759,741,731,747,761,774,792,799,834,872,916,983,1046,1048,1046,1051,1065,1071,1091,1118,1119,1115,1137,1186,1201,1214,1223,1216,1215,1230,1242,1238,1233,1218,1216,1217,1213,1209,1234,1241,1239,1233,1219,1214,1211,1209,1199,1177,1155,1130,1133,1141,1111,1088,1090,1082,1073,1103,1132,1172,1207,1252,1275,1314,1308,1282,1246,1195,1166,1127,1116,1082,1062,1039,1015,996,963,929,896,881,862,841,829,799,286,286,287,285,283,283,283,286,299,315,332,352,360,369,380,396,407,421,440,453,459,451,451,446,446,436,449,451,460,449,440,427,404,393,381,368,349,338,322,310,298,294,294,293,298,296,288,290,284,274,268,267,268,268,267,268,268,268,269,269,269,266,266,268,268,268,267,268,268,268,268,270,268,270,279,290,294,302,315,317,330,353,365,379,368,355,365,364,331,320,297,283,270,266,266,266,266,266,271,302,334,360,351,349,367,390,401,402,415,440,433,426,446,459,465,485,525,563,617,644,656,623,592,560,549,536,532,506,487,480,466,433,397,366,333,309,299,297,297,296,296,295,295,295,295,295,295,295,294,294,294,297,300,311,338,359,382,406,434,466,505,539,604,640,684,719,728,737,737,738,744,787,788,769,763,786,802,809,829,836,870,885,909,985,1038,1041,1039,1040,1054,1057,1071,1084,1093,1104,1130,1186,1207,1210,1212,1205,1202,1203,1207,1208,1202,1194,1180,1178,1168,1183,1207,1186,1192,1195,1189,1187,1181,1178,1158,1136,1114,1111,1113,1112,1074,1048,1052,1058,1046,1087,1123,1184,1233,1264,1274,1305,1292,1277,1243,1190,1157,1110,1083,1047,1017,1006,985,974,945,908,878,862,843,825,801,779,286,285,286,286,285,283,282,282,287,301,314,328,332,337,342,356,375,388,404,413,413,410,415,415,418,413,417,421,426,411,402,390,370,362,354,349,348,342,317,307,294,289,286,281,293,286,279,277,271,267,267,268,269,267,267,268,268,268,268,269,265,266,268,267,268,268,266,267,267,269,271,278,280,285,292,301,307,319,312,315,326,352,366,376,358,343,357,343,316,303,285,274,268,266,266,266,266,268,285,329,361,361,350,354,392,402,409,404,412,435,442,444,457,462,474,505,546,583,634,678,651,617,581,554,541,540,521,495,481,472,441,415,378,340,318,304,298,298,297,296,296,296,295,295,295,295,296,295,295,295,296,301,306,331,356,373,404,432,449,491,530,564,633,666,712,745,756,778,784,773,769,818,826,803,801,820,840,849,868,873,903,932,951,987,1031,1034,1031,1035,1045,1058,1063,1072,1083,1097,1127,1176,1185,1200,1207,1208,1194,1183,1175,1179,1176,1169,1155,1148,1135,1135,1141,1142,1139,1148,1147,1135,1136,1139,1120,1085,1082,1079,1072,1067,1044,1032,1023,1038,1028,1087,1142,1200,1235,1267,1277,1298,1268,1255,1228,1184,1158,1112,1073,1039,1022,999,977,952,927,885,853,835,818,796,786,764,286,286,285,285,284,284,283,282,283,294,306,317,320,325,325,341,361,376,387,393,392,389,397,402,403,402,403,408,413,396,383,373,355,348,344,341,341,339,316,306,292,286,280,277,280,278,275,272,268,268,267,267,268,268,267,268,268,268,268,266,265,266,269,268,268,268,269,267,269,269,280,287,288,292,300,308,316,318,310,314,325,351,367,374,353,334,347,332,308,296,281,271,266,266,266,266,266,271,295,341,361,357,351,363,394,403,407,406,413,434,444,447,459,466,481,520,560,595,643,682,647,615,580,551,536,541,511,487,480,461,427,406,371,334,315,303,298,298,297,296,296,296,296,295,295,295,296,295,295,295,298,303,313,338,366,384,414,444,467,504,545,580,646,682,727,759,772,799,815,795,779,835,841,820,819,838,859,872,887,895,923,954,973,1011,1028,1029,1029,1034,1045,1063,1069,1072,1080,1098,1126,1169,1171,1179,1186,1191,1179,1181,1162,1161,1161,1152,1148,1140,1116,1111,1114,1114,1117,1120,1119,1112,1112,1119,1094,1075,1062,1059,1055,1047,1028,1022,1016,1027,1027,1090,1145,1209,1230,1268,1279,1286,1259,1252,1223,1183,1156,1114,1074,1037,1020,998,973,947,918,881,846,828,810,789,777,752,285,285,285,285,285,283,284,283,283,283,289,297,299,301,302,321,339,352,356,355,351,352,367,374,375,383,380,381,378,360,346,338,327,330,327,318,311,320,308,301,284,280,276,274,271,270,270,269,268,268,267,268,267,267,269,269,268,269,267,265,266,268,268,268,269,269,269,269,271,280,293,301,304,308,317,323,322,315,309,313,327,353,368,369,340,320,324,315,293,284,272,267,265,266,266,266,270,290,329,352,351,351,358,380,396,402,410,411,419,432,443,451,463,476,506,543,589,633,667,678,645,615,586,540,534,531,496,476,475,439,403,386,360,321,307,299,298,298,297,296,296,296,295,295,295,295,296,295,295,297,303,311,323,345,381,399,430,465,492,520,565,613,667,710,762,794,811,837,849,838,816,866,878,856,858,878,904,919,931,938,965,1011,1028,1030,1023,1025,1030,1036,1050,1071,1083,1089,1094,1106,1118,1138,1145,1142,1146,1153,1156,1145,1132,1127,1125,1136,1141,1122,1102,1068,1076,1074,1074,1073,1075,1067,1068,1076,1057,1051,1031,1028,1021,1008,1002,1003,1002,1001,1037,1088,1143,1224,1230,1259,1263,1257,1251,1239,1216,1183,1157,1108,1073,1046,1005,978,965,948,910,876,843,825,800,773,759,733,286,286,287,288,287,283,282,283,283,282,281,284,286,286,290,305,321,327,330,320,316,323,344,348,355,365,362,359,347,322,320,307,299,299,291,286,287,284,280,279,275,273,271,270,269,269,269,269,269,269,269,268,267,268,269,269,269,265,265,265,268,268,268,269,268,268,272,283,287,295,308,317,317,318,321,320,319,312,309,314,327,356,363,347,323,312,313,299,282,274,268,267,265,266,269,270,285,311,352,349,350,353,380,390,400,407,413,414,420,434,449,458,469,491,530,576,629,664,706,668,640,610,582,538,537,516,482,471,450,414,388,371,342,312,300,298,298,297,297,296,296,296,296,295,295,296,296,297,296,300,309,319,333,366,393,419,451,484,509,545,587,638,690,741,798,825,847,865,876,872,859,896,916,895,889,921,954,982,977,992,1013,1039,1038,1034,1027,1027,1031,1044,1060,1080,1091,1098,1103,1110,1117,1132,1150,1133,1122,1123,1122,1112,1104,1096,1098,1105,1099,1080,1065,1035,1037,1033,1030,1031,1024,1018,1016,1030,1038,1024,1015,999,987,984,983,979,984,999,1043,1094,1150,1222,1230,1245,1246,1250,1235,1215,1188,1168,1151,1108,1068,1044,1003,970,948,935,905,879,849,831,797,769,751,724,288,288,291,287,292,286,284,283,281,282,281,281,281,282,282,291,303,306,308,299,297,308,324,331,341,349,347,340,329,312,301,289,285,279,279,279,277,275,274,32768,275,272,271,271,270,269,269,268,32768,269,269,268,268,268,269,269,265,265,265,268,267,268,267,267,270,270,283,294,305,312,315,315,315,318,318,317,316,309,310,313,329,356,345,326,308,306,306,286,271,268,266,265,266,266,270,279,301,344,347,352,352,363,397,398,402,413,415,418,425,441,453,464,493,521,568,612,670,707,706,658,636,607,566,546,525,495,467,456,422,401,377,359,324,306,299,298,298,298,297,296,296,296,296,295,296,296,296,297,299,304,314,323,346,377,412,435,473,502,520,566,619,659,709,779,828,856,873,899,917,896,887,927,953,957,934,964,987,1007,1028,1047,1054,1046,1039,1034,1036,1035,1041,1057,1076,1086,1096,1105,1111,1113,1118,1130,1142,1132,1123,1116,1106,1098,1087,1080,1069,1066,1061,1048,1037,1021,1004,1002,1011,1008,1002,999,1002,1018,1022,1011,993,978,971,968,967,966,967,998,1054,1115,1168,1227,1236,1235,1223,1214,1213,1181,1154,1136,1119,1098,1055,1020,1004,963,938,914,894,871,849,827,792,754,735,718,291,289,292,290,291,290,286,283,282,281,280,281,280,280,281,286,294,297,299,292,291,301,314,325,335,342,340,333,321,306,298,285,280,279,280,277,277,274,274,275,274,272,271,271,270,269,268,268,32768,268,268,269,268,269,269,267,265,266,268,268,267,268,268,268,269,275,285,296,307,312,314,314,314,317,317,316,314,309,310,314,331,356,341,318,302,301,299,279,269,267,265,265,266,267,271,291,313,347,347,353,353,370,402,400,403,415,417,420,429,447,458,470,504,537,583,630,686,727,700,655,635,601,561,533,507,483,461,441,415,396,376,339,317,303,298,298,298,297,297,296,296,296,295,296,296,297,296,298,298,303,314,330,350,381,417,445,477,511,536,580,634,672,725,794,841,871,889,917,926,915,911,943,967,978,968,984,994,1017,1045,1063,1056,1043,1038,1036,1040,1039,1046,1065,1079,1089,1100,1108,1112,1113,1115,1125,1136,1129,1121,1114,1104,1093,1085,1076,1062,1052,1046,1037,1026,1008,991,994,1005,999,995,990,994,1010,1012,998,984,972,964,962,960,965,969,1001,1067,1130,1190,1226,1233,1234,1229,1198,1191,1167,1141,1125,1107,1082,1043,1012,988,961,932,906,886,861,844,819,786,746,726,709,292,292,293,290,290,293,291,288,282,281,280,280,280,280,280,279,281,284,285,283,285,290,302,314,323,328,326,320,308,298,294,286,283,281,281,277,277,275,274,32768,273,272,272,271,270,32768,32768,268,32768,268,268,269,269,269,265,265,265,268,267,268,267,267,267,268,268,283,294,303,309,312,313,312,312,314,314,315,314,309,312,315,332,340,332,309,295,294,286,269,265,265,265,266,267,270,296,306,336,343,358,354,355,392,403,406,408,420,426,431,443,458,468,496,538,573,617,660,719,724,693,651,625,585,557,525,500,466,440,423,404,388,352,320,311,300,298,299,298,298,297,297,297,296,296,296,296,297,298,299,301,304,323,347,364,384,429,456,489,525,559,608,661,704,773,821,868,902,928,939,941,941,947,967,983,984,984,986,1008,1033,1066,1062,1052,1039,1041,1047,1048,1049,1059,1077,1090,1103,1113,1111,1113,1109,1104,1113,1119,1114,1102,1098,1086,1078,1068,1060,1048,1037,1025,1015,1003,995,977,985,995,989,978,974,982,989,989,978,971,958,953,945,947,947,976,1020,1102,1165,1217,1235,1232,1232,1221,1173,1147,1140,1113,1096,1071,1046,1013,991,969,938,908,889,871,856,831,799,774,740,722,695,292,292,291,291,291,291,290,288,284,281,280,280,280,279,279,279,279,280,279,285,285,288,295,305,311,315,313,308,300,294,293,285,286,281,281,277,277,275,274,274,274,273,272,272,269,268,268,268,268,32768,269,269,268,265,265,264,267,267,268,267,267,268,268,268,272,292,304,309,312,313,312,310,310,312,314,315,315,310,309,310,321,321,316,304,287,287,274,267,265,266,266,267,270,289,312,326,335,356,355,354,368,405,407,405,420,433,442,449,452,470,495,528,572,614,650,690,727,713,685,634,608,580,549,511,486,453,424,408,390,369,327,314,307,300,299,299,298,298,297,297,296,296,296,296,296,297,300,304,303,309,348,359,376,393,427,457,500,544,574,636,688,728,796,850,885,919,953,964,960,961,970,984,991,991,991,994,1019,1046,1062,1052,1045,1044,1050,1051,1055,1059,1077,1094,1112,1116,1116,1114,1114,1103,1085,1081,1082,1079,1067,1061,1053,1043,1034,1027,1020,1011,998,984,979,980,967,967,975,971,962,966,970,963,956,953,947,945,937,931,932,946,992,1039,1119,1191,1219,1250,1232,1205,1209,1169,1132,1106,1101,1076,1048,1024,997,970,954,932,894,867,849,842,816,795,769,736,707,689,290,290,289,289,289,288,289,287,284,281,281,281,280,279,279,280,280,32768,280,279,285,286,290,297,299,302,301,299,295,291,285,293,290,285,282,279,277,275,275,274,274,273,272,272,269,269,268,267,268,268,269,264,265,264,267,268,267,267,267,267,268,267,268,268,282,306,310,314,314,314,311,309,309,311,316,318,320,322,319,310,309,305,303,299,286,273,268,264,266,268,269,269,286,317,316,335,342,355,356,360,384,412,404,407,430,448,459,463,468,501,531,566,610,643,667,714,719,688,649,606,580,551,523,496,466,440,410,392,378,344,318,313,302,301,299,299,298,298,297,297,296,296,296,296,296,297,302,308,308,329,356,370,390,413,439,474,517,569,610,662,727,760,804,867,905,941,975,987,982,988,1000,1008,1007,1005,1001,1003,1018,1033,1041,1041,1048,1049,1055,1061,1069,1079,1101,1122,1127,1125,1125,1120,1112,1098,1082,1069,1064,1054,1044,1038,1027,1015,999,989,980,974,970,962,960,959,961,938,952,948,947,952,954,948,941,932,929,926,921,921,928,962,1011,1063,1133,1198,1217,1260,1248,1207,1187,1164,1123,1104,1088,1066,1053,1026,991,960,946,914,875,845,834,823,804,780,762,736,712,690,289,289,289,289,288,287,287,286,284,281,281,280,280,279,280,281,280,32768,280,281,280,285,287,295,295,296,296,295,292,285,285,293,290,289,287,280,32768,276,275,274,274,274,272,273,269,269,268,267,268,268,267,265,264,265,267,268,267,267,267,267,268,267,268,270,295,312,312,315,316,315,310,309,309,312,317,319,322,328,327,314,304,300,297,293,282,270,267,264,266,269,270,271,298,318,322,337,348,354,358,363,392,410,403,413,435,454,465,478,479,520,547,584,627,650,677,723,702,673,633,588,564,535,513,483,454,427,402,379,368,332,317,311,301,300,299,298,298,298,297,297,296,296,297,296,296,299,304,310,312,337,358,373,396,420,449,482,527,580,631,674,743,782,826,874,921,955,988,996,992,999,1009,1012,1013,1011,1005,1006,1016,1028,1035,1040,1049,1053,1061,1070,1081,1098,1117,1132,1134,1133,1122,1112,1105,1093,1078,1065,1058,1048,1038,1031,1019,1005,989,978,968,964,960,955,951,950,951,926,942,936,937,943,943,940,933,923,920,919,917,919,934,974,1025,1079,1146,1204,1218,1260,1253,1221,1193,1159,1124,1106,1090,1065,1050,1015,988,954,936,903,869,842,825,814,797,774,757,730,710,688,290,289,288,288,287,286,285,283,283,282,281,281,280,279,281,283,281,281,285,283,279,277,284,285,285,285,285,285,286,293,294,295,300,300,298,291,289,286,282,276,274,274,273,272,268,267,268,268,268,263,264,264,267,267,267,267,266,267,267,268,267,266,267,287,318,318,316,318,318,314,310,309,311,316,319,324,328,335,338,321,301,295,291,287,275,267,265,265,267,269,273,278,306,317,337,347,351,354,364,381,401,402,406,437,450,470,480,489,509,545,571,604,649,664,699,709,674,652,620,570,537,506,476,455,426,397,373,356,341,326,312,306,299,299,299,298,298,298,298,297,296,297,296,296,297,301,307,317,320,343,362,378,405,434,470,503,556,608,659,719,765,815,860,896,947,979,1003,1004,1011,1012,1020,1023,1025,1017,1009,1015,1030,1042,1044,1050,1058,1073,1085,1101,1116,1126,1133,1133,1126,1120,1109,1100,1094,1087,1077,1064,1054,1045,1037,1029,1012,996,982,971,962,953,949,942,936,932,928,913,919,917,921,924,920,913,914,912,909,910,912,923,957,999,1060,1104,1179,1218,1235,1251,1250,1229,1202,1162,1133,1106,1074,1053,1027,998,979,948,932,897,873,849,820,798,775,757,747,723,697,672,290,289,288,289,288,286,284,283,283,281,280,280,280,279,281,283,284,284,285,288,287,284,272,285,285,285,291,292,292,293,293,295,299,301,305,308,306,304,303,285,276,275,275,273,267,266,268,266,263,32768,264,267,266,267,267,267,267,267,267,267,266,267,279,309,322,320,320,321,317,313,310,310,314,318,321,329,334,340,342,321,299,297,287,276,268,265,264,266,268,270,274,283,308,334,339,347,349,364,369,392,396,403,428,444,472,481,492,521,535,569,595,627,656,676,706,706,678,650,612,567,529,488,452,422,405,377,358,348,331,317,304,300,299,299,299,298,298,298,297,297,297,297,296,297,297,302,311,323,330,348,368,385,415,448,489,531,578,631,680,753,803,827,877,923,972,1007,1007,1016,1016,1028,1031,1035,1032,1029,1027,1041,1058,1065,1071,1076,1078,1092,1106,1121,1130,1131,1126,1120,1113,1109,1103,1098,1093,1089,1080,1065,1054,1046,1040,1033,1017,1000,983,969,956,946,937,928,924,918,912,900,898,899,905,911,905,895,899,899,902,906,912,937,979,1027,1091,1134,1198,1236,1271,1269,1247,1231,1211,1180,1144,1123,1065,1033,1014,998,974,948,926,899,874,844,810,782,751,743,725,711,690,660,291,290,290,291,290,289,285,283,284,284,285,284,282,281,282,285,285,286,285,288,290,287,273,285,285,287,289,291,292,293,294,297,339,329,325,320,314,306,303,287,278,279,276,269,267,268,263,264,264,267,267,267,266,267,267,267,267,267,267,267,266,280,298,323,321,320,323,321,315,311,309,312,317,321,327,333,337,343,336,314,295,290,280,269,266,264,265,265,269,272,278,296,310,330,345,349,351,377,380,392,402,412,445,470,478,496,513,538,563,593,614,650,667,693,724,701,656,623,592,560,530,480,440,400,386,361,343,336,320,308,300,299,299,299,299,298,298,298,297,297,297,297,297,297,298,304,314,328,339,353,376,395,426,465,524,556,607,649,693,767,823,854,901,946,999,1011,1020,1023,1028,1038,1038,1042,1042,1046,1049,1061,1082,1086,1089,1088,1091,1101,1109,1112,1114,1112,1111,1111,1109,1104,1093,1079,1075,1068,1060,1053,1048,1041,1033,1026,1012,996,979,970,961,952,943,925,912,899,894,894,892,889,890,895,891,893,897,912,915,907,923,954,997,1053,1122,1151,1218,1252,1281,1278,1259,1236,1218,1189,1155,1122,1066,1019,1002,985,961,939,923,896,871,841,800,769,744,728,708,695,676,657,292,291,291,291,291,289,285,284,285,285,287,288,285,281,282,284,287,288,285,288,290,287,272,286,285,290,290,291,292,293,294,295,351,345,339,328,319,307,303,288,282,280,269,269,268,266,263,264,264,266,266,267,267,267,267,267,267,268,267,266,277,297,316,322,321,320,325,320,313,310,311,314,319,322,330,334,338,344,331,307,293,285,275,267,265,264,264,266,269,273,282,308,322,327,347,350,357,379,387,393,401,425,453,479,483,511,526,544,575,604,624,659,676,708,718,683,636,607,579,547,528,477,432,393,378,354,333,328,316,306,300,300,300,299,298,298,298,298,297,297,297,297,296,297,298,303,315,331,342,356,378,400,431,474,537,567,619,674,699,777,832,863,912,956,1007,1017,1026,1028,1036,1040,1044,1050,1052,1052,1056,1071,1093,1094,1092,1089,1093,1095,1099,1104,1106,1105,1108,1110,1108,1102,1085,1075,1071,1061,1054,1048,1044,1036,1027,1020,1006,990,971,965,959,950,941,929,918,906,900,890,889,886,887,889,889,893,903,919,924,912,933,963,1006,1063,1126,1160,1219,1259,1278,1277,1253,1237,1220,1195,1159,1129,1068,1017,997,977,951,936,918,891,866,838,799,765,743,725,702,683,666,654,293,291,292,293,292,292,286,285,287,288,288,288,289,283,282,281,289,290,288,289,290,289,271,288,284,289,290,290,291,292,293,295,324,366,356,343,319,306,297,289,282,267,266,268,263,263,264,270,269,267,266,267,267,267,267,266,266,267,266,279,302,323,321,321,321,326,329,316,309,309,313,317,322,328,333,336,335,339,313,294,286,275,267,264,264,265,265,268,270,276,297,326,336,334,346,355,368,382,391,396,402,444,467,474,506,538,545,560,598,634,663,676,706,716,695,649,623,593,549,511,496,466,418,385,368,349,329,321,311,304,300,300,299,299,298,299,298,298,298,298,297,297,297,298,300,304,322,344,348,368,389,408,448,500,563,599,643,717,760,784,841,880,932,979,1019,1031,1038,1039,1043,1057,1068,1064,1062,1058,1068,1088,1100,1097,1088,1083,1083,1085,1088,1096,1098,1093,1103,1106,1102,1092,1080,1073,1067,1058,1049,1038,1032,1024,1013,1005,988,970,953,940,925,922,918,912,906,897,891,888,884,884,885,887,889,894,925,934,922,921,952,982,1026,1086,1154,1185,1218,1277,1262,1269,1263,1238,1221,1187,1148,1126,1073,1014,984,960,936,917,908,878,847,831,797,758,739,709,675,663,653,646,295,292,292,293,294,293,287,287,288,289,288,288,289,288,285,282,289,296,293,290,289,285,276,287,290,289,290,290,292,293,297,303,316,357,369,347,325,300,292,288,268,267,267,263,263,263,268,266,269,266,266,266,267,266,267,267,267,267,274,297,320,320,320,322,329,333,329,313,308,309,315,323,319,320,337,340,328,309,292,291,280,267,264,264,264,264,266,269,277,281,319,332,339,340,350,361,378,386,391,399,414,452,470,496,522,551,562,585,624,666,673,697,727,698,682,640,605,562,518,490,461,435,399,374,358,337,325,318,310,302,300,300,299,299,298,298,299,298,298,298,297,297,298,305,305,316,340,355,367,386,411,423,475,533,593,633,687,753,792,824,857,891,949,1005,1031,1041,1045,1045,1057,1079,1081,1071,1067,1066,1083,1087,1084,1076,1075,1076,1078,1082,1088,1093,1088,1089,1096,1093,1088,1082,1075,1070,1066,1064,1057,1042,1029,1014,1002,992,972,953,938,921,897,890,887,884,879,878,880,884,884,883,884,886,894,922,931,942,926,942,976,996,1042,1102,1188,1202,1228,1270,1267,1258,1251,1220,1179,1133,1102,1075,1029,983,951,933,916,901,891,861,833,809,779,750,722,690,655,645,642,633,294,291,293,293,293,293,289,288,289,290,289,288,289,294,295,284,291,297,293,289,288,283,275,287,288,289,290,32768,292,295,302,310,320,340,367,349,337,298,288,284,267,267,263,263,263,266,270,266,275,267,266,266,267,267,267,267,267,267,280,313,318,320,321,326,332,333,326,311,308,310,315,326,321,322,340,342,322,293,288,290,277,265,263,264,264,265,268,272,281,288,322,335,340,340,351,363,379,387,392,404,420,455,483,507,526,555,571,597,637,674,676,711,725,699,667,628,587,550,501,480,445,417,388,365,347,332,323,316,309,302,301,300,299,298,298,298,299,298,298,298,297,298,300,308,308,327,344,359,376,393,425,444,473,540,606,645,703,760,799,833,872,904,955,1013,1030,1042,1046,1049,1062,1083,1084,1074,1069,1071,1078,1076,1074,1072,1073,1074,1076,1082,1085,1088,1086,1088,1089,1087,1082,1077,1072,1070,1067,1067,1059,1041,1027,1012,996,987,969,951,931,913,888,878,875,873,873,876,879,882,883,882,883,886,905,934,947,943,929,955,983,1005,1048,1109,1199,1216,1244,1263,1267,1241,1233,1209,1168,1119,1089,1061,1019,968,935,909,903,890,879,852,816,794,770,742,712,681,646,638,637,623,297,295,294,293,294,293,294,292,289,290,290,291,291,294,299,296,289,294,291,287,287,277,273,285,288,289,290,292,295,303,309,316,323,322,326,348,331,275,271,267,265,263,263,264,265,263,263,265,267,267,266,268,267,267,267,266,266,278,296,314,316,320,323,330,334,331,319,309,307,311,319,328,320,325,332,324,303,280,286,280,267,263,263,263,265,267,269,281,285,304,326,343,343,346,353,370,383,386,395,419,445,477,513,524,551,568,593,631,656,679,698,731,696,662,639,592,556,526,481,450,425,392,372,348,338,325,316,308,304,301,300,299,299,299,299,299,299,298,298,298,299,300,307,316,317,338,350,377,396,413,454,484,523,532,596,640,706,765,800,842,899,927,975,1021,1032,1037,1042,1049,1068,1091,1088,1076,1068,1065,1065,1066,1066,1067,1066,1067,1069,1071,1073,1077,1079,1081,1084,1080,1073,1069,1070,1067,1065,1061,1049,1036,1024,1008,990,972,953,930,905,897,878,870,869,870,871,874,877,880,880,880,882,902,934,972,984,960,940,971,997,1031,1080,1128,1208,1236,1265,1262,1246,1212,1185,1156,1132,1100,1080,1053,1017,989,941,901,883,859,844,826,800,775,747,722,683,665,626,624,616,606,284,297,296,294,294,293,283,269,270,278,280,288,290,287,287,287,284,286,279,271,271,273,269,277,273,283,287,290,290,295,304,308,311,310,309,305,291,269,268,263,263,262,266,264,265,263,263,263,267,267,266,267,267,266,266,266,273,295,308,313,317,322,328,333,333,327,315,308,311,315,322,325,322,304,307,301,291,273,275,268,263,263,263,264,267,271,274,283,300,315,338,351,354,356,365,372,381,387,408,434,462,507,548,554,572,586,617,643,673,686,714,721,663,633,611,557,528,505,462,426,401,379,366,346,332,318,309,304,302,301,300,299,299,299,299,299,299,299,298,300,303,306,312,326,330,346,365,394,413,445,469,528,559,577,589,632,700,756,790,845,899,927,977,1024,1038,1045,1041,1050,1070,1084,1085,1072,1064,1063,1061,1062,1061,1059,1059,1060,1061,1064,1068,1072,1073,1075,1073,1070,1067,1069,1070,1067,1062,1058,1050,1041,1031,1018,995,980,956,934,910,893,876,871,868,869,871,874,876,877,878,879,886,932,972,1004,1005,954,972,999,1018,1055,1106,1164,1223,1248,1257,1257,1242,1206,1183,1140,1123,1081,1054,1035,1018,994,952,902,866,838,815,792,785,756,722,700,662,646,612,607,600,583,280,280,277,283,288,284,263,262,263,263,264,265,265,264,265,265,267,267,266,264,265,265,266,279,265,267,266,267,269,267,282,289,291,283,280,277,267,267,262,262,263,266,266,263,263,265,263,263,267,267,266,267,267,268,272,279,291,311,313,314,318,325,332,334,330,321,311,311,316,321,323,320,318,299,297,288,283,270,265,263,263,263,264,266,272,278,281,295,316,324,344,351,365,364,373,382,383,395,423,457,488,543,580,585,580,606,639,655,680,703,725,687,639,609,585,535,509,487,447,407,392,373,364,349,332,315,308,303,301,301,300,299,299,299,299,299,298,299,298,299,303,310,319,334,342,357,386,406,434,480,524,545,574,607,634,643,699,741,773,829,889,928,984,1031,1048,1050,1041,1049,1064,1077,1072,1064,1064,1060,1058,1055,1052,1052,1053,1055,1057,1058,1059,1060,1063,1066,1072,1072,1067,1066,1068,1066,1068,1065,1060,1050,1039,1021,1001,982,955,926,898,882,871,868,868,869,871,874,874,875,876,879,912,963,1006,1023,1009,964,994,1018,1059,1073,1135,1201,1254,1264,1252,1250,1226,1188,1157,1134,1107,1077,1033,1007,996,964,932,894,853,824,798,780,763,735,698,675,644,625,592,589,582,574,279,267,267,268,273,271,262,262,262,263,262,263,263,263,263,263,264,263,264,264,264,265,263,273,265,265,265,266,266,265,268,272,274,271,270,267,268,263,262,262,266,266,265,265,265,264,265,265,266,267,267,267,267,276,283,290,304,314,316,317,320,327,333,334,329,319,306,314,319,322,322,319,317,299,292,284,280,269,264,263,262,263,264,268,276,280,284,302,320,327,344,353,366,365,376,384,387,400,429,468,501,558,590,591,584,617,644,659,689,718,721,679,629,604,580,535,501,478,447,404,391,367,361,346,332,314,306,301,300,301,300,299,299,299,299,299,299,299,298,299,303,312,323,337,347,364,389,413,447,498,538,558,581,624,657,673,724,757,791,842,898,935,993,1035,1051,1048,1040,1049,1064,1072,1070,1064,1062,1058,1055,1051,1049,1049,1050,1052,1053,1052,1052,1054,1061,1067,1072,1070,1065,1066,1069,1068,1071,1068,1061,1051,1041,1023,1001,981,952,920,891,877,869,867,867,869,870,873,873,874,876,881,925,977,1013,1023,1008,968,995,1027,1086,1100,1137,1205,1262,1268,1246,1245,1223,1183,1144,1129,1107,1074,1028,997,974,948,921,884,845,819,795,765,751,728,687,663,636,619,587,577,573,570,271,261,262,262,263,262,262,262,262,262,262,263,263,263,263,263,263,263,263,264,264,264,263,268,267,268,264,265,265,265,269,266,265,265,266,267,263,262,262,267,267,266,266,266,266,266,266,266,266,270,267,267,269,287,310,313,318,325,328,326,326,331,333,333,325,317,303,309,323,324,321,314,310,294,286,277,274,266,263,262,262,263,266,276,282,284,302,318,329,333,345,372,368,369,382,387,392,415,448,492,533,593,594,602,603,636,651,671,708,725,694,665,615,602,574,525,494,469,443,397,383,359,349,341,325,309,302,301,301,300,300,300,299,299,300,299,299,299,299,300,306,315,327,342,355,377,399,443,483,527,556,577,596,649,712,738,755,794,823,872,917,956,1013,1040,1052,1045,1039,1048,1058,1068,1064,1059,1057,1055,1050,1045,1043,1043,1042,1041,1040,1040,1040,1045,1054,1056,1058,1057,1064,1069,1069,1070,1071,1067,1060,1052,1042,1021,991,968,935,904,881,871,866,866,867,869,870,871,871,873,876,903,952,1001,1024,1028,1000,984,1007,1052,1122,1149,1160,1202,1259,1262,1243,1229,1213,1160,1124,1098,1087,1066,1023,981,943,914,896,863,829,798,779,742,725,707,676,651,631,602,578,566,564,558,262,265,262,262,262,262,262,262,262,262,263,263,263,263,263,263,263,263,263,264,264,264,265,265,265,266,268,267,267,266,265,267,265,267,267,265,262,263,267,267,266,266,266,266,266,266,266,267,267,267,266,267,279,301,320,323,329,332,334,331,332,332,331,330,323,319,317,301,320,325,313,306,300,289,277,269,268,262,262,263,263,265,270,281,286,302,320,328,337,340,356,379,370,373,387,391,398,434,471,520,562,593,603,609,616,645,654,700,718,705,676,647,607,590,566,519,487,463,422,387,374,351,341,333,316,304,301,301,301,300,300,300,299,300,300,299,299,299,299,301,316,326,333,352,367,388,421,471,508,551,576,599,635,663,720,762,785,836,860,895,936,971,1029,1043,1049,1040,1035,1050,1064,1062,1059,1054,1051,1047,1042,1039,1036,1036,1032,1031,1031,1031,1033,1039,1042,1045,1049,1055,1060,1061,1066,1067,1066,1062,1055,1049,1032,1004,973,948,919,893,876,867,864,865,866,868,869,870,871,873,895,938,977,1011,1021,1021,993,997,1032,1077,1145,1188,1196,1234,1247,1248,1242,1207,1187,1149,1114,1070,1060,1040,1011,973,931,898,878,850,816,779,756,733,719,700,671,637,609,591,571,563,568,552,261,271,262,262,262,262,262,262,262,263,263,263,263,263,263,263,263,263,263,264,264,264,274,265,264,264,268,265,265,266,268,267,266,266,268,32768,262,266,267,267,266,266,266,266,266,266,266,267,266,266,266,276,291,320,328,330,332,334,334,333,334,330,328,325,325,322,323,304,303,320,308,295,289,279,269,264,262,262,263,263,263,269,277,284,293,319,324,341,340,347,383,377,373,379,392,398,418,460,504,548,564,587,620,611,627,655,673,708,723,693,662,629,591,579,553,519,474,451,409,377,363,339,335,326,310,302,301,301,301,301,300,300,300,300,300,300,300,300,300,305,325,339,349,362,377,403,452,495,533,572,599,627,672,716,737,769,824,863,895,919,962,1000,1037,1041,1032,1026,1038,1056,1057,1057,1051,1047,1042,1039,1034,1031,1028,1026,1026,1024,1021,1022,1027,1032,1037,1040,1039,1050,1053,1058,1060,1062,1059,1053,1046,1031,1013,985,954,932,906,886,872,865,863,864,866,867,868,869,870,880,935,957,986,1019,1026,1012,993,1023,1056,1107,1157,1208,1225,1253,1243,1228,1240,1189,1152,1120,1096,1077,1042,1014,986,963,926,902,869,843,820,773,751,733,713,685,656,625,598,585,564,557,559,545,261,271,262,262,262,262,262,262,262,263,263,263,263,263,263,263,263,263,264,264,264,264,277,265,264,264,267,266,265,265,267,266,265,266,265,32768,265,266,267,267,267,265,266,266,266,266,267,266,266,266,267,284,300,327,329,330,331,335,334,334,334,329,325,328,328,325,325,312,297,314,305,289,283,275,266,263,262,262,263,263,265,272,279,286,301,321,333,342,341,358,383,377,376,382,393,405,430,474,521,553,564,589,619,613,633,661,686,707,718,687,651,621,586,574,544,519,470,443,404,374,357,338,332,324,308,302,301,300,301,300,300,300,300,300,300,301,301,301,303,310,331,345,354,365,382,418,466,510,547,581,613,640,696,734,756,778,834,877,904,938,977,1015,1036,1035,1023,1027,1042,1051,1053,1053,1047,1043,1037,1033,1030,1024,1023,1023,1025,1024,1018,1017,1024,1028,1032,1035,1036,1045,1051,1054,1058,1058,1052,1045,1038,1021,1002,978,948,927,903,886,872,864,863,864,865,867,868,869,870,902,950,965,990,1021,1026,1004,999,1042,1074,1117,1161,1211,1239,1257,1239,1227,1220,1179,1139,1104,1089,1077,1043,1014,984,961,926,906,868,839,813,769,748,733,704,679,650,620,594,580,561,553,552,542,261,268,262,262,262,262,262,262,262,263,263,263,263,263,263,263,263,263,263,263,264,263,270,264,264,264,264,266,265,265,265,266,265,260,259,268,267,266,266,267,267,266,266,267,266,266,266,273,277,277,285,304,323,327,329,329,330,331,332,332,328,321,318,330,331,330,327,326,296,300,297,280,275,267,262,262,262,263,264,265,268,278,282,293,319,331,346,341,348,373,382,379,383,388,399,419,451,503,557,564,580,599,620,624,650,687,703,711,693,662,630,599,582,561,539,507,459,428,399,366,349,342,334,313,307,303,301,301,301,301,300,300,300,300,300,302,303,303,304,313,332,346,360,378,397,443,485,527,558,598,642,679,727,765,788,806,852,897,926,970,1006,1034,1027,1018,1021,1032,1040,1047,1048,1044,1036,1034,1026,1024,1019,1018,1023,1025,1023,1018,1009,1009,1014,1018,1021,1023,1029,1036,1040,1042,1044,1040,1036,1031,1022,1001,984,967,942,921,899,883,869,862,862,864,865,866,867,869,882,934,967,983,997,1033,1030,1001,1023,1062,1091,1147,1188,1217,1252,1247,1229,1214,1191,1159,1126,1090,1084,1069,1043,1007,983,954,927,910,871,836,804,766,745,715,689,668,629,604,586,574,552,546,543,532,261,261,262,262,262,262,262,262,263,263,263,263,263,263,263,263,263,263,263,263,263,263,265,264,264,264,264,264,264,265,266,265,261,259,259,267,267,266,270,268,267,268,272,272,278,279,284,295,307,303,311,321,323,327,325,325,325,329,332,329,326,316,329,333,332,331,330,329,295,287,285,271,266,262,262,262,262,264,267,267,273,281,288,310,326,340,341,342,367,379,382,382,387,395,411,445,483,533,573,590,594,615,628,636,675,700,711,706,675,636,606,593,574,558,535,494,446,412,384,357,346,344,331,309,304,302,302,302,301,301,301,301,300,301,301,301,32768,306,306,319,337,348,365,391,417,461,503,543,574,614,673,711,752,781,822,837,873,914,948,998,1028,1026,1011,1012,1024,1030,1040,1044,1039,1033,1026,1025,1018,1014,1008,1015,1014,1014,1010,1005,1000,999,1002,1005,1009,1012,1021,1022,1023,1022,1023,1021,1017,1009,994,977,970,955,929,913,892,874,863,861,861,863,864,866,867,887,908,951,975,989,1014,1038,1027,1011,1048,1097,1118,1161,1220,1247,1262,1242,1220,1196,1167,1147,1119,1108,1094,1066,1043,1002,978,959,933,900,865,834,791,759,733,702,671,649,611,598,589,569,548,543,539,535,261,261,262,262,262,262,262,262,262,263,263,263,263,263,263,263,263,263,263,263,263,263,265,264,264,264,264,264,264,265,266,265,258,259,264,267,267,266,267,266,273,274,278,283,286,289,297,304,318,315,314,319,321,324,322,322,324,330,330,327,326,316,331,332,332,332,332,328,294,282,277,266,264,262,262,262,262,264,267,269,277,283,293,317,329,340,340,346,375,381,382,385,390,399,419,459,501,547,583,604,598,625,630,643,685,706,722,700,666,625,604,593,571,555,530,483,439,409,377,352,345,340,325,308,303,302,302,302,301,301,301,301,301,301,300,301,305,307,309,326,343,352,368,400,430,468,508,552,587,626,678,717,760,790,833,856,883,922,959,1014,1025,1017,1004,1011,1023,1032,1041,1039,1034,1027,1021,1020,1013,1010,1003,1007,1006,1005,1002,998,995,994,997,998,1005,1009,1015,1014,1015,1011,1010,1009,1005,997,983,968,960,942,920,906,887,868,862,860,861,862,864,865,867,899,921,959,982,998,1024,1040,1026,1018,1060,1106,1139,1184,1226,1271,1280,1233,1212,1186,1157,1138,1112,1107,1092,1059,1034,991,972,952,925,896,862,824,786,756,726,696,663,644,603,597,588,562,547,544,532,525,261,262,265,262,262,262,262,262,262,263,263,263,263,263,263,263,263,263,263,263,263,267,265,264,264,263,264,264,265,265,265,258,258,265,267,265,265,266,266,275,290,299,304,312,315,317,323,321,313,313,312,314,317,318,318,319,323,328,326,325,327,314,329,330,332,334,336,311,292,276,267,262,262,261,262,262,262,264,269,273,282,297,305,323,337,339,341,368,379,382,384,388,397,408,439,492,526,585,609,607,620,634,639,672,707,717,726,685,643,614,603,584,577,552,518,468,425,399,376,349,344,325,319,307,304,302,302,302,301,301,301,301,301,301,300,302,306,308,311,335,350,360,381,417,444,484,518,569,613,669,698,731,774,811,847,875,911,950,981,1018,1012,999,993,1012,1024,1033,1035,1029,1023,1017,1009,1001,999,998,995,994,990,988,986,988,987,982,985,988,989,997,997,992,992,987,982,983,977,969,960,947,936,920,908,901,888,874,868,859,860,862,863,864,889,913,931,973,994,1016,1035,1052,1035,1028,1089,1129,1156,1201,1229,1258,1269,1231,1198,1171,1137,1124,1118,1098,1083,1042,1006,976,940,921,895,877,848,809,775,749,714,683,651,631,585,592,579,551,545,527,494,477,261,262,265,262,262,262,262,263,263,263,263,263,263,263,263,263,263,263,263,263,262,274,263,263,263,264,264,264,264,265,258,259,263,267,266,267,266,267,288,304,311,322,331,336,340,335,323,313,309,307,309,314,315,316,317,319,323,325,325,326,312,318,327,330,334,337,323,299,282,271,264,262,262,261,261,262,262,268,275,280,296,314,318,324,333,338,349,380,383,386,387,397,403,417,462,515,552,604,622,620,642,639,666,691,717,732,716,666,624,605,592,583,564,544,495,459,416,393,366,349,343,333,313,307,304,303,302,302,301,302,301,301,301,301,300,306,308,310,316,335,353,368,396,433,467,507,548,612,642,700,734,754,784,830,870,903,942,979,1004,1003,994,987,997,1016,1027,1029,1027,1017,1011,1005,998,991,990,993,991,989,981,977,981,986,986,971,973,973,975,975,970,965,966,959,956,953,944,942,935,925,920,912,906,905,893,879,872,862,858,860,861,872,895,923,940,976,1002,1029,1055,1057,1055,1039,1106,1152,1176,1211,1240,1255,1243,1205,1168,1146,1111,1120,1100,1071,1053,1011,976,945,903,885,865,849,835,796,764,747,703,667,639,614,572,573,563,542,534,509,460,424,261,262,264,262,262,262,262,263,263,263,263,263,263,263,263,263,263,263,263,263,262,267,263,264,264,264,264,264,264,258,259,261,270,267,267,267,271,300,316,328,334,337,341,341,336,326,313,307,305,306,309,315,315,316,316,319,322,323,324,320,309,320,328,333,337,329,306,290,271,264,262,261,261,261,261,262,265,273,283,294,312,322,322,324,334,342,372,383,388,388,393,402,415,448,496,536,584,622,623,642,643,661,687,717,738,721,694,649,616,601,589,586,550,524,480,451,406,386,357,343,336,330,307,304,303,303,303,302,302,302,302,302,301,302,303,312,311,312,337,338,361,380,411,452,485,529,603,645,681,724,751,773,804,849,895,927,964,999,994,987,979,984,1005,1022,1023,1017,1013,1007,999,996,990,985,985,994,993,991,984,967,973,975,970,963,948,959,956,952,944,938,935,933,931,928,926,925,919,913,912,908,909,905,884,879,868,861,861,865,870,886,914,935,959,978,1014,1043,1073,1072,1079,1050,1119,1148,1180,1228,1263,1266,1227,1184,1147,1131,1098,1083,1068,1040,1001,967,941,905,878,858,847,830,816,779,745,736,698,652,624,601,560,554,530,512,518,503,491,484,261,262,263,262,262,262,262,263,263,263,263,263,263,263,263,263,263,263,263,263,262,264,263,264,264,264,264,264,264,258,260,265,267,266,267,268,286,312,325,331,336,339,342,338,330,318,309,305,304,305,311,315,315,315,316,318,322,323,326,315,308,320,328,334,333,318,300,286,268,263,262,261,261,261,261,262,266,275,290,302,317,323,323,326,335,351,381,386,391,390,397,404,426,463,509,551,597,626,627,645,652,677,698,730,738,710,687,642,614,601,589,579,544,512,478,444,404,382,350,340,331,326,305,303,303,303,303,302,302,302,302,302,301,301,305,315,314,317,340,339,366,389,418,460,491,550,621,659,694,730,758,778,814,857,908,935,973,998,986,978,972,989,1008,1018,1017,1011,1006,1000,993,991,987,983,984,992,994,994,986,966,966,966,960,953,940,950,947,942,932,927,925,925,923,921,919,917,913,910,911,906,906,901,879,873,861,857,875,879,886,901,928,947,971,999,1022,1054,1080,1084,1083,1056,1111,1151,1191,1234,1269,1269,1217,1173,1146,1133,1101,1068,1051,1024,983,950,929,895,872,850,837,815,797,768,735,714,692,643,617,598,556,547,521,525,512,492,497,497,262,262,262,262,262,262,263,263,263,263,263,263,263,263,263,263,263,263,263,263,267,264,263,263,264,264,264,264,258,259,265,268,266,267,273,292,309,325,329,335,339,338,332,324,312,307,303,302,303,308,314,316,316,316,317,319,322,326,327,307,313,323,329,334,317,303,289,273,264,261,261,261,261,264,262,265,269,282,305,318,320,325,326,328,336,373,383,392,394,394,400,417,455,485,532,581,612,634,641,660,685,687,726,743,721,706,671,630,611,596,592,559,521,491,468,426,397,367,343,331,322,314,304,303,303,303,303,303,302,302,302,302,302,302,305,321,319,339,346,360,380,401,438,478,516,599,641,676,711,743,771,786,828,878,923,944,975,972,966,960,979,995,1008,1010,1006,999,993,987,983,986,982,979,984,992,992,986,971,955,949,947,942,929,931,931,929,923,910,908,913,917,915,912,907,906,906,906,898,898,894,887,873,863,870,883,901,908,915,919,939,967,995,1033,1054,1073,1095,1106,1105,1072,1130,1182,1214,1253,1277,1267,1210,1159,1135,1116,1091,1051,1036,998,966,930,910,885,859,834,811,784,773,756,710,694,666,629,599,586,548,534,538,529,500,509,511,490,262,262,262,263,262,262,263,263,263,263,263,263,263,263,263,263,263,263,263,263,271,263,264,264,264,264,264,258,259,264,268,265,267,273,291,315,320,327,330,333,330,324,318,309,302,301,300,300,305,312,316,316,315,317,319,321,326,331,318,301,317,322,329,322,310,294,277,265,261,260,260,262,262,263,263,266,275,297,316,325,323,326,328,335,353,382,385,396,396,399,408,445,479,506,557,604,626,639,661,692,697,711,751,736,722,692,657,625,607,595,575,540,501,482,451,417,383,354,339,329,317,308,304,304,303,303,303,303,303,303,303,303,303,303,306,316,326,340,357,374,383,413,459,509,560,616,650,681,710,748,776,798,843,896,920,933,945,944,943,963,988,1003,1006,1002,996,988,983,978,975,977,974,977,980,981,976,969,954,939,932,929,917,917,920,919,915,892,892,899,905,911,913,893,890,903,898,892,878,880,877,866,861,860,887,899,912,931,944,947,963,990,1016,1051,1081,1105,1113,1140,1136,1104,1158,1208,1232,1262,1262,1227,1193,1133,1108,1088,1066,1022,1026,985,950,916,896,873,851,824,799,769,752,715,688,660,638,607,587,564,539,545,550,543,524,511,500,479]