MINLPLib
A Library of Mixed-Integer and Continuous Nonlinear Programming Instances
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Instance unitcommit_200_0_5_mod_7
Formatsⓘ | ams gms lp mod nl osil pip py |
Primal Bounds (infeas ≤ 1e-08)ⓘ | |
Other points (infeas > 1e-08)ⓘ | |
Dual Boundsⓘ | 31969177.80000000 (BARON) 31291994.48000000 (COUENNE) 33674114.70000000 (CPLEX) 33693337.41000000 (GUROBI) 33590172.14000000 (LINDO) 33619520.25000000 (SCIP) 31955665.09000000 (SHOT) |
Referencesⓘ | Frangioni, Antonio, Furini, Fabio, and Gentile, Claudio, Approximated Perspective Relaxations: a Project and Lift Approach, Computational Optimization and Applications, 63:3, 2016, 705-735. |
Sourceⓘ | QPLIB instance 5573, contributed by Antonio Frangioni |
Applicationⓘ | Unit Commitment |
Added to libraryⓘ | 18 Aug 2018 |
Problem typeⓘ | MBQCP |
#Variablesⓘ | 28142 |
#Binary Variablesⓘ | 4450 |
#Integer Variablesⓘ | 0 |
#Nonlinear Variablesⓘ | 14246 |
#Nonlinear Binary Variablesⓘ | 0 |
#Nonlinear Integer Variablesⓘ | 0 |
Objective Senseⓘ | min |
Objective typeⓘ | linear |
Objective curvatureⓘ | linear |
#Nonzeros in Objectiveⓘ | 18542 |
#Nonlinear Nonzeros in Objectiveⓘ | 0 |
#Constraintsⓘ | 77776 |
#Linear Constraintsⓘ | 72976 |
#Quadratic Constraintsⓘ | 4800 |
#Polynomial Constraintsⓘ | 0 |
#Signomial Constraintsⓘ | 0 |
#General Nonlinear Constraintsⓘ | 0 |
Operands in Gen. Nonlin. Functionsⓘ | |
Constraints curvatureⓘ | indefinite |
#Nonzeros in Jacobianⓘ | 220921 |
#Nonlinear Nonzeros in Jacobianⓘ | 14246 |
#Nonzeros in (Upper-Left) Hessian of Lagrangianⓘ | 14246 |
#Nonzeros in Diagonal of Hessian of Lagrangianⓘ | 14246 |
#Blocks in Hessian of Lagrangianⓘ | 14246 |
Minimal blocksize in Hessian of Lagrangianⓘ | 1 |
Maximal blocksize in Hessian of Lagrangianⓘ | 1 |
Average blocksize in Hessian of Lagrangianⓘ | 1.0 |
#Semicontinuitiesⓘ | 0 |
#Nonlinear Semicontinuitiesⓘ | 0 |
#SOS type 1ⓘ | 0 |
#SOS type 2ⓘ | 0 |
Minimal coefficientⓘ | 8.0100e-04 |
Maximal coefficientⓘ | 4.0110e+03 |
Infeasibility of initial pointⓘ | 2.654e+04 |
Sparsity Jacobianⓘ | |
Sparsity Hessian of Lagrangianⓘ |
$offlisting * * Equation counts * Total E G L N X C B * 77777 9601 27065 41111 0 0 0 0 * * Variable counts * x b i s1s s2s sc si * Total cont binary integer sos1 sos2 scont sint * 28143 23693 4450 0 0 0 0 0 * FX 0 * * Nonzero counts * Total const NL DLL * 239464 225218 14246 0 * * Solve m using MIQCP minimizing objvar; Variables objvar,b2,b3,b4,b5,b6,b7,b8,b9,b10,b11,b12,b13,b14,b15,b16,b17,b18 ,b19,b20,b21,b22,b23,b24,b25,b26,b27,b28,b29,b30,b31,b32,b33,b34,b35 ,b36,b37,b38,b39,b40,b41,b42,b43,b44,b45,b46,b47,b48,b49,b50,b51,b52 ,b53,b54,b55,b56,b57,b58,b59,b60,b61,b62,b63,b64,b65,b66,b67,b68,b69 ,b70,b71,b72,b73,b74,b75,b76,b77,b78,b79,b80,b81,b82,b83,b84,b85,b86 ,b87,b88,b89,b90,b91,b92,b93,b94,b95,b96,b97,b98,b99,b100,b101,b102 ,b103,b104,b105,b106,b107,b108,b109,b110,b111,b112,b113,b114,b115 ,b116,b117,b118,b119,b120,b121,b122,b123,b124,b125,b126,b127,b128 ,b129,b130,b131,b132,b133,b134,b135,b136,b137,b138,b139,b140,b141 ,b142,b143,b144,b145,b146,b147,b148,b149,b150,b151,b152,b153,b154 ,b155,b156,b157,b158,b159,b160,b161,b162,b163,b164,b165,b166,b167 ,b168,b169,b170,b171,b172,b173,b174,b175,b176,b177,b178,b179,b180 ,b181,b182,b183,b184,b185,b186,b187,b188,b189,b190,b191,b192,b193 ,b194,b195,b196,b197,b198,b199,b200,b201,b202,b203,b204,b205,b206 ,b207,b208,b209,b210,b211,b212,b213,b214,b215,b216,b217,b218,b219 ,b220,b221,b222,b223,b224,b225,b226,b227,b228,b229,b230,b231,b232 ,b233,b234,b235,b236,b237,b238,b239,b240,b241,b242,b243,b244,b245 ,b246,b247,b248,b249,b250,b251,b252,b253,b254,b255,b256,b257,b258 ,b259,b260,b261,b262,b263,b264,b265,b266,b267,b268,b269,b270,b271 ,b272,b273,b274,b275,b276,b277,b278,b279,b280,b281,b282,b283,b284 ,b285,b286,b287,b288,b289,b290,b291,b292,b293,b294,b295,b296,b297 ,b298,b299,b300,b301,b302,b303,b304,b305,b306,b307,b308,b309,b310 ,b311,b312,b313,b314,b315,b316,b317,b318,b319,b320,b321,b322,b323 ,b324,b325,b326,b327,b328,b329,b330,b331,b332,b333,b334,b335,b336 ,b337,b338,b339,b340,b341,b342,b343,b344,b345,b346,b347,b348,b349 ,b350,b351,b352,b353,b354,b355,b356,b357,b358,b359,b360,b361,b362 ,b363,b364,b365,b366,b367,b368,b369,b370,b371,b372,b373,b374,b375 ,b376,b377,b378,b379,b380,b381,b382,b383,b384,b385,b386,b387,b388 ,b389,b390,b391,b392,b393,b394,b395,b396,b397,b398,b399,b400,b401 ,b402,b403,b404,b405,b406,b407,b408,b409,b410,b411,b412,b413,b414 ,b415,b416,b417,b418,b419,b420,b421,b422,b423,b424,b425,b426,b427 ,b428,b429,b430,b431,b432,b433,b434,b435,b436,b437,b438,b439,b440 ,b441,b442,b443,b444,b445,b446,b447,b448,b449,b450,b451,b452,b453 ,b454,b455,b456,b457,b458,b459,b460,b461,b462,b463,b464,b465,b466 ,b467,b468,b469,b470,b471,b472,b473,b474,b475,b476,b477,b478,b479 ,b480,b481,b482,b483,b484,b485,b486,b487,b488,b489,b490,b491,b492 ,b493,b494,b495,b496,b497,b498,b499,b500,b501,b502,b503,b504,b505 ,b506,b507,b508,b509,b510,b511,b512,b513,b514,b515,b516,b517,b518 ,b519,b520,b521,b522,b523,b524,b525,b526,b527,b528,b529,b530,b531 ,b532,b533,b534,b535,b536,b537,b538,b539,b540,b541,b542,b543,b544 ,b545,b546,b547,b548,b549,b550,b551,b552,b553,b554,b555,b556,b557 ,b558,b559,b560,b561,b562,b563,b564,b565,b566,b567,b568,b569,b570 ,b571,b572,b573,b574,b575,b576,b577,b578,b579,b580,b581,b582,b583 ,b584,b585,b586,b587,b588,b589,b590,b591,b592,b593,b594,b595,b596 ,b597,b598,b599,b600,b601,b602,b603,b604,b605,b606,b607,b608,b609 ,b610,b611,b612,b613,b614,b615,b616,b617,b618,b619,b620,b621,b622 ,b623,b624,b625,b626,b627,b628,b629,b630,b631,b632,b633,b634,b635 ,b636,b637,b638,b639,b640,b641,b642,b643,b644,b645,b646,b647,b648 ,b649,b650,b651,b652,b653,b654,b655,b656,b657,b658,b659,b660,b661 ,b662,b663,b664,b665,b666,b667,b668,b669,b670,b671,b672,b673,b674 ,b675,b676,b677,b678,b679,b680,b681,b682,b683,b684,b685,b686,b687 ,b688,b689,b690,b691,b692,b693,b694,b695,b696,b697,b698,b699,b700 ,b701,b702,b703,b704,b705,b706,b707,b708,b709,b710,b711,b712,b713 ,b714,b715,b716,b717,b718,b719,b720,b721,b722,b723,b724,b725,b726 ,b727,b728,b729,b730,b731,b732,b733,b734,b735,b736,b737,b738,b739 ,b740,b741,b742,b743,b744,b745,b746,b747,b748,b749,b750,b751,b752 ,b753,b754,b755,b756,b757,b758,b759,b760,b761,b762,b763,b764,b765 ,b766,b767,b768,b769,b770,b771,b772,b773,b774,b775,b776,b777,b778 ,b779,b780,b781,b782,b783,b784,b785,b786,b787,b788,b789,b790,b791 ,b792,b793,b794,b795,b796,b797,b798,b799,b800,b801,b802,b803,b804 ,b805,b806,b807,b808,b809,b810,b811,b812,b813,b814,b815,b816,b817 ,b818,b819,b820,b821,b822,b823,b824,b825,b826,b827,b828,b829,b830 ,b831,b832,b833,b834,b835,b836,b837,b838,b839,b840,b841,b842,b843 ,b844,b845,b846,b847,b848,b849,b850,b851,b852,b853,b854,b855,b856 ,b857,b858,b859,b860,b861,b862,b863,b864,b865,b866,b867,b868,b869 ,b870,b871,b872,b873,b874,b875,b876,b877,b878,b879,b880,b881,b882 ,b883,b884,b885,b886,b887,b888,b889,b890,b891,b892,b893,b894,b895 ,b896,b897,b898,b899,b900,b901,b902,b903,b904,b905,b906,b907,b908 ,b909,b910,b911,b912,b913,b914,b915,b916,b917,b918,b919,b920,b921 ,b922,b923,b924,b925,b926,b927,b928,b929,b930,b931,b932,b933,b934 ,b935,b936,b937,b938,b939,b940,b941,b942,b943,b944,b945,b946,b947 ,b948,b949,b950,b951,b952,b953,b954,b955,b956,b957,b958,b959,b960 ,b961,b962,b963,b964,b965,b966,b967,b968,b969,b970,b971,b972,b973 ,b974,b975,b976,b977,b978,b979,b980,b981,b982,b983,b984,b985,b986 ,b987,b988,b989,b990,b991,b992,b993,b994,b995,b996,b997,b998,b999 ,b1000,b1001,b1002,b1003,b1004,b1005,b1006,b1007,b1008,b1009,b1010 ,b1011,b1012,b1013,b1014,b1015,b1016,b1017,b1018,b1019,b1020,b1021 ,b1022,b1023,b1024,b1025,b1026,b1027,b1028,b1029,b1030,b1031,b1032 ,b1033,b1034,b1035,b1036,b1037,b1038,b1039,b1040,b1041,b1042,b1043 ,b1044,b1045,b1046,b1047,b1048,b1049,b1050,b1051,b1052,b1053,b1054 ,b1055,b1056,b1057,b1058,b1059,b1060,b1061,b1062,b1063,b1064,b1065 ,b1066,b1067,b1068,b1069,b1070,b1071,b1072,b1073,b1074,b1075,b1076 ,b1077,b1078,b1079,b1080,b1081,b1082,b1083,b1084,b1085,b1086,b1087 ,b1088,b1089,b1090,b1091,b1092,b1093,b1094,b1095,b1096,b1097,b1098 ,b1099,b1100,b1101,b1102,b1103,b1104,b1105,b1106,b1107,b1108,b1109 ,b1110,b1111,b1112,b1113,b1114,b1115,b1116,b1117,b1118,b1119,b1120 ,b1121,b1122,b1123,b1124,b1125,b1126,b1127,b1128,b1129,b1130,b1131 ,b1132,b1133,b1134,b1135,b1136,b1137,b1138,b1139,b1140,b1141,b1142 ,b1143,b1144,b1145,b1146,b1147,b1148,b1149,b1150,b1151,b1152,b1153 ,b1154,b1155,b1156,b1157,b1158,b1159,b1160,b1161,b1162,b1163,b1164 ,b1165,b1166,b1167,b1168,b1169,b1170,b1171,b1172,b1173,b1174,b1175 ,b1176,b1177,b1178,b1179,b1180,b1181,b1182,b1183,b1184,b1185,b1186 ,b1187,b1188,b1189,b1190,b1191,b1192,b1193,b1194,b1195,b1196,b1197 ,b1198,b1199,b1200,b1201,b1202,b1203,b1204,b1205,b1206,b1207,b1208 ,b1209,b1210,b1211,b1212,b1213,b1214,b1215,b1216,b1217,b1218,b1219 ,b1220,b1221,b1222,b1223,b1224,b1225,b1226,b1227,b1228,b1229,b1230 ,b1231,b1232,b1233,b1234,b1235,b1236,b1237,b1238,b1239,b1240,b1241 ,b1242,b1243,b1244,b1245,b1246,b1247,b1248,b1249,b1250,b1251,b1252 ,b1253,b1254,b1255,b1256,b1257,b1258,b1259,b1260,b1261,b1262,b1263 ,b1264,b1265,b1266,b1267,b1268,b1269,b1270,b1271,b1272,b1273,b1274 ,b1275,b1276,b1277,b1278,b1279,b1280,b1281,b1282,b1283,b1284,b1285 ,b1286,b1287,b1288,b1289,b1290,b1291,b1292,b1293,b1294,b1295,b1296 ,b1297,b1298,b1299,b1300,b1301,b1302,b1303,b1304,b1305,b1306,b1307 ,b1308,b1309,b1310,b1311,b1312,b1313,b1314,b1315,b1316,b1317,b1318 ,b1319,b1320,b1321,b1322,b1323,b1324,b1325,b1326,b1327,b1328,b1329 ,b1330,b1331,b1332,b1333,b1334,b1335,b1336,b1337,b1338,b1339,b1340 ,b1341,b1342,b1343,b1344,b1345,b1346,b1347,b1348,b1349,b1350,b1351 ,b1352,b1353,b1354,b1355,b1356,b1357,b1358,b1359,b1360,b1361,b1362 ,b1363,b1364,b1365,b1366,b1367,b1368,b1369,b1370,b1371,b1372,b1373 ,b1374,b1375,b1376,b1377,b1378,b1379,b1380,b1381,b1382,b1383,b1384 ,b1385,b1386,b1387,b1388,b1389,b1390,b1391,b1392,b1393,b1394,b1395 ,b1396,b1397,b1398,b1399,b1400,b1401,b1402,b1403,b1404,b1405,b1406 ,b1407,b1408,b1409,b1410,b1411,b1412,b1413,b1414,b1415,b1416,b1417 ,b1418,b1419,b1420,b1421,b1422,b1423,b1424,b1425,b1426,b1427,b1428 ,b1429,b1430,b1431,b1432,b1433,b1434,b1435,b1436,b1437,b1438,b1439 ,b1440,b1441,b1442,b1443,b1444,b1445,b1446,b1447,b1448,b1449,b1450 ,b1451,b1452,b1453,b1454,b1455,b1456,b1457,b1458,b1459,b1460,b1461 ,b1462,b1463,b1464,b1465,b1466,b1467,b1468,b1469,b1470,b1471,b1472 ,b1473,b1474,b1475,b1476,b1477,b1478,b1479,b1480,b1481,b1482,b1483 ,b1484,b1485,b1486,b1487,b1488,b1489,b1490,b1491,b1492,b1493,b1494 ,b1495,b1496,b1497,b1498,b1499,b1500,b1501,b1502,b1503,b1504,b1505 ,b1506,b1507,b1508,b1509,b1510,b1511,b1512,b1513,b1514,b1515,b1516 ,b1517,b1518,b1519,b1520,b1521,b1522,b1523,b1524,b1525,b1526,b1527 ,b1528,b1529,b1530,b1531,b1532,b1533,b1534,b1535,b1536,b1537,b1538 ,b1539,b1540,b1541,b1542,b1543,b1544,b1545,b1546,b1547,b1548,b1549 ,b1550,b1551,b1552,b1553,b1554,b1555,b1556,b1557,b1558,b1559,b1560 ,b1561,b1562,b1563,b1564,b1565,b1566,b1567,b1568,b1569,b1570,b1571 ,b1572,b1573,b1574,b1575,b1576,b1577,b1578,b1579,b1580,b1581,b1582 ,b1583,b1584,b1585,b1586,b1587,b1588,b1589,b1590,b1591,b1592,b1593 ,b1594,b1595,b1596,b1597,b1598,b1599,b1600,b1601,b1602,b1603,b1604 ,b1605,b1606,b1607,b1608,b1609,b1610,b1611,b1612,b1613,b1614,b1615 ,b1616,b1617,b1618,b1619,b1620,b1621,b1622,b1623,b1624,b1625,b1626 ,b1627,b1628,b1629,b1630,b1631,b1632,b1633,b1634,b1635,b1636,b1637 ,b1638,b1639,b1640,b1641,b1642,b1643,b1644,b1645,b1646,b1647,b1648 ,b1649,b1650,b1651,b1652,b1653,b1654,b1655,b1656,b1657,b1658,b1659 ,b1660,b1661,b1662,b1663,b1664,b1665,b1666,b1667,b1668,b1669,b1670 ,b1671,b1672,b1673,b1674,b1675,b1676,b1677,b1678,b1679,b1680,b1681 ,b1682,b1683,b1684,b1685,b1686,b1687,b1688,b1689,b1690,b1691,b1692 ,b1693,b1694,b1695,b1696,b1697,b1698,b1699,b1700,b1701,b1702,b1703 ,b1704,b1705,b1706,b1707,b1708,b1709,b1710,b1711,b1712,b1713,b1714 ,b1715,b1716,b1717,b1718,b1719,b1720,b1721,b1722,b1723,b1724,b1725 ,b1726,b1727,b1728,b1729,b1730,b1731,b1732,b1733,b1734,b1735,b1736 ,b1737,b1738,b1739,b1740,b1741,b1742,b1743,b1744,b1745,b1746,b1747 ,b1748,b1749,b1750,b1751,b1752,b1753,b1754,b1755,b1756,b1757,b1758 ,b1759,b1760,b1761,b1762,b1763,b1764,b1765,b1766,b1767,b1768,b1769 ,b1770,b1771,b1772,b1773,b1774,b1775,b1776,b1777,b1778,b1779,b1780 ,b1781,b1782,b1783,b1784,b1785,b1786,b1787,b1788,b1789,b1790,b1791 ,b1792,b1793,b1794,b1795,b1796,b1797,b1798,b1799,b1800,b1801,b1802 ,b1803,b1804,b1805,b1806,b1807,b1808,b1809,b1810,b1811,b1812,b1813 ,b1814,b1815,b1816,b1817,b1818,b1819,b1820,b1821,b1822,b1823,b1824 ,b1825,b1826,b1827,b1828,b1829,b1830,b1831,b1832,b1833,b1834,b1835 ,b1836,b1837,b1838,b1839,b1840,b1841,b1842,b1843,b1844,b1845,b1846 ,b1847,b1848,b1849,b1850,b1851,b1852,b1853,b1854,b1855,b1856,b1857 ,b1858,b1859,b1860,b1861,b1862,b1863,b1864,b1865,b1866,b1867,b1868 ,b1869,b1870,b1871,b1872,b1873,b1874,b1875,b1876,b1877,b1878,b1879 ,b1880,b1881,b1882,b1883,b1884,b1885,b1886,b1887,b1888,b1889,b1890 ,b1891,b1892,b1893,b1894,b1895,b1896,b1897,b1898,b1899,b1900,b1901 ,b1902,b1903,b1904,b1905,b1906,b1907,b1908,b1909,b1910,b1911,b1912 ,b1913,b1914,b1915,b1916,b1917,b1918,b1919,b1920,b1921,b1922,b1923 ,b1924,b1925,b1926,b1927,b1928,b1929,b1930,b1931,b1932,b1933,b1934 ,b1935,b1936,b1937,b1938,b1939,b1940,b1941,b1942,b1943,b1944,b1945 ,b1946,b1947,b1948,b1949,b1950,b1951,b1952,b1953,b1954,b1955,b1956 ,b1957,b1958,b1959,b1960,b1961,b1962,b1963,b1964,b1965,b1966,b1967 ,b1968,b1969,b1970,b1971,b1972,b1973,b1974,b1975,b1976,b1977,b1978 ,b1979,b1980,b1981,b1982,b1983,b1984,b1985,b1986,b1987,b1988,b1989 ,b1990,b1991,b1992,b1993,b1994,b1995,b1996,b1997,b1998,b1999,b2000 ,b2001,b2002,b2003,b2004,b2005,b2006,b2007,b2008,b2009,b2010,b2011 ,b2012,b2013,b2014,b2015,b2016,b2017,b2018,b2019,b2020,b2021,b2022 ,b2023,b2024,b2025,b2026,b2027,b2028,b2029,b2030,b2031,b2032,b2033 ,b2034,b2035,b2036,b2037,b2038,b2039,b2040,b2041,b2042,b2043,b2044 ,b2045,b2046,b2047,b2048,b2049,b2050,b2051,b2052,b2053,b2054,b2055 ,b2056,b2057,b2058,b2059,b2060,b2061,b2062,b2063,b2064,b2065,b2066 ,b2067,b2068,b2069,b2070,b2071,b2072,b2073,b2074,b2075,b2076,b2077 ,b2078,b2079,b2080,b2081,b2082,b2083,b2084,b2085,b2086,b2087,b2088 ,b2089,b2090,b2091,b2092,b2093,b2094,b2095,b2096,b2097,b2098,b2099 ,b2100,b2101,b2102,b2103,b2104,b2105,b2106,b2107,b2108,b2109,b2110 ,b2111,b2112,b2113,b2114,b2115,b2116,b2117,b2118,b2119,b2120,b2121 ,b2122,b2123,b2124,b2125,b2126,b2127,b2128,b2129,b2130,b2131,b2132 ,b2133,b2134,b2135,b2136,b2137,b2138,b2139,b2140,b2141,b2142,b2143 ,b2144,b2145,b2146,b2147,b2148,b2149,b2150,b2151,b2152,b2153,b2154 ,b2155,b2156,b2157,b2158,b2159,b2160,b2161,b2162,b2163,b2164,b2165 ,b2166,b2167,b2168,b2169,b2170,b2171,b2172,b2173,b2174,b2175,b2176 ,b2177,b2178,b2179,b2180,b2181,b2182,b2183,b2184,b2185,b2186,b2187 ,b2188,b2189,b2190,b2191,b2192,b2193,b2194,b2195,b2196,b2197,b2198 ,b2199,b2200,b2201,b2202,b2203,b2204,b2205,b2206,b2207,b2208,b2209 ,b2210,b2211,b2212,b2213,b2214,b2215,b2216,b2217,b2218,b2219,b2220 ,b2221,b2222,b2223,b2224,b2225,b2226,b2227,b2228,b2229,b2230,b2231 ,b2232,b2233,b2234,b2235,b2236,b2237,b2238,b2239,b2240,b2241,b2242 ,b2243,b2244,b2245,b2246,b2247,b2248,b2249,b2250,b2251,b2252,b2253 ,b2254,b2255,b2256,b2257,b2258,b2259,b2260,b2261,b2262,b2263,b2264 ,b2265,b2266,b2267,b2268,b2269,b2270,b2271,b2272,b2273,b2274,b2275 ,b2276,b2277,b2278,b2279,b2280,b2281,b2282,b2283,b2284,b2285,b2286 ,b2287,b2288,b2289,b2290,b2291,b2292,b2293,b2294,b2295,b2296,b2297 ,b2298,b2299,b2300,b2301,b2302,b2303,b2304,b2305,b2306,b2307,b2308 ,b2309,b2310,b2311,b2312,b2313,b2314,b2315,b2316,b2317,b2318,b2319 ,b2320,b2321,b2322,b2323,b2324,b2325,b2326,b2327,b2328,b2329,b2330 ,b2331,b2332,b2333,b2334,b2335,b2336,b2337,b2338,b2339,b2340,b2341 ,b2342,b2343,b2344,b2345,b2346,b2347,b2348,b2349,b2350,b2351,b2352 ,b2353,b2354,b2355,b2356,b2357,b2358,b2359,b2360,b2361,b2362,b2363 ,b2364,b2365,b2366,b2367,b2368,b2369,b2370,b2371,b2372,b2373,b2374 ,b2375,b2376,b2377,b2378,b2379,b2380,b2381,b2382,b2383,b2384,b2385 ,b2386,b2387,b2388,b2389,b2390,b2391,b2392,b2393,b2394,b2395,b2396 ,b2397,b2398,b2399,b2400,b2401,b2402,b2403,b2404,b2405,b2406,b2407 ,b2408,b2409,b2410,b2411,b2412,b2413,b2414,b2415,b2416,b2417,b2418 ,b2419,b2420,b2421,b2422,b2423,b2424,b2425,b2426,b2427,b2428,b2429 ,b2430,b2431,b2432,b2433,b2434,b2435,b2436,b2437,b2438,b2439,b2440 ,b2441,b2442,b2443,b2444,b2445,b2446,b2447,b2448,b2449,b2450,b2451 ,b2452,b2453,b2454,b2455,b2456,b2457,b2458,b2459,b2460,b2461,b2462 ,b2463,b2464,b2465,b2466,b2467,b2468,b2469,b2470,b2471,b2472,b2473 ,b2474,b2475,b2476,b2477,b2478,b2479,b2480,b2481,b2482,b2483,b2484 ,b2485,b2486,b2487,b2488,b2489,b2490,b2491,b2492,b2493,b2494,b2495 ,b2496,b2497,b2498,b2499,b2500,b2501,b2502,b2503,b2504,b2505,b2506 ,b2507,b2508,b2509,b2510,b2511,b2512,b2513,b2514,b2515,b2516,b2517 ,b2518,b2519,b2520,b2521,b2522,b2523,b2524,b2525,b2526,b2527,b2528 ,b2529,b2530,b2531,b2532,b2533,b2534,b2535,b2536,b2537,b2538,b2539 ,b2540,b2541,b2542,b2543,b2544,b2545,b2546,b2547,b2548,b2549,b2550 ,b2551,b2552,b2553,b2554,b2555,b2556,b2557,b2558,b2559,b2560,b2561 ,b2562,b2563,b2564,b2565,b2566,b2567,b2568,b2569,b2570,b2571,b2572 ,b2573,b2574,b2575,b2576,b2577,b2578,b2579,b2580,b2581,b2582,b2583 ,b2584,b2585,b2586,b2587,b2588,b2589,b2590,b2591,b2592,b2593,b2594 ,b2595,b2596,b2597,b2598,b2599,b2600,b2601,b2602,b2603,b2604,b2605 ,b2606,b2607,b2608,b2609,b2610,b2611,b2612,b2613,b2614,b2615,b2616 ,b2617,b2618,b2619,b2620,b2621,b2622,b2623,b2624,b2625,b2626,b2627 ,b2628,b2629,b2630,b2631,b2632,b2633,b2634,b2635,b2636,b2637,b2638 ,b2639,b2640,b2641,b2642,b2643,b2644,b2645,b2646,b2647,b2648,b2649 ,b2650,b2651,b2652,b2653,b2654,b2655,b2656,b2657,b2658,b2659,b2660 ,b2661,b2662,b2663,b2664,b2665,b2666,b2667,b2668,b2669,b2670,b2671 ,b2672,b2673,b2674,b2675,b2676,b2677,b2678,b2679,b2680,b2681,b2682 ,b2683,b2684,b2685,b2686,b2687,b2688,b2689,b2690,b2691,b2692,b2693 ,b2694,b2695,b2696,b2697,b2698,b2699,b2700,b2701,b2702,b2703,b2704 ,b2705,b2706,b2707,b2708,b2709,b2710,b2711,b2712,b2713,b2714,b2715 ,b2716,b2717,b2718,b2719,b2720,b2721,b2722,b2723,b2724,b2725,b2726 ,b2727,b2728,b2729,b2730,b2731,b2732,b2733,b2734,b2735,b2736,b2737 ,b2738,b2739,b2740,b2741,b2742,b2743,b2744,b2745,b2746,b2747,b2748 ,b2749,b2750,b2751,b2752,b2753,b2754,b2755,b2756,b2757,b2758,b2759 ,b2760,b2761,b2762,b2763,b2764,b2765,b2766,b2767,b2768,b2769,b2770 ,b2771,b2772,b2773,b2774,b2775,b2776,b2777,b2778,b2779,b2780,b2781 ,b2782,b2783,b2784,b2785,b2786,b2787,b2788,b2789,b2790,b2791,b2792 ,b2793,b2794,b2795,b2796,b2797,b2798,b2799,b2800,b2801,b2802,b2803 ,b2804,b2805,b2806,b2807,b2808,b2809,b2810,b2811,b2812,b2813,b2814 ,b2815,b2816,b2817,b2818,b2819,b2820,b2821,b2822,b2823,b2824,b2825 ,b2826,b2827,b2828,b2829,b2830,b2831,b2832,b2833,b2834,b2835,b2836 ,b2837,b2838,b2839,b2840,b2841,b2842,b2843,b2844,b2845,b2846,b2847 ,b2848,b2849,b2850,b2851,b2852,b2853,b2854,b2855,b2856,b2857,b2858 ,b2859,b2860,b2861,b2862,b2863,b2864,b2865,b2866,b2867,b2868,b2869 ,b2870,b2871,b2872,b2873,b2874,b2875,b2876,b2877,b2878,b2879,b2880 ,b2881,b2882,b2883,b2884,b2885,b2886,b2887,b2888,b2889,b2890,b2891 ,b2892,b2893,b2894,b2895,b2896,b2897,b2898,b2899,b2900,b2901,b2902 ,b2903,b2904,b2905,b2906,b2907,b2908,b2909,b2910,b2911,b2912,b2913 ,b2914,b2915,b2916,b2917,b2918,b2919,b2920,b2921,b2922,b2923,b2924 ,b2925,b2926,b2927,b2928,b2929,b2930,b2931,b2932,b2933,b2934,b2935 ,b2936,b2937,b2938,b2939,b2940,b2941,b2942,b2943,b2944,b2945,b2946 ,b2947,b2948,b2949,b2950,b2951,b2952,b2953,b2954,b2955,b2956,b2957 ,b2958,b2959,b2960,b2961,b2962,b2963,b2964,b2965,b2966,b2967,b2968 ,b2969,b2970,b2971,b2972,b2973,b2974,b2975,b2976,b2977,b2978,b2979 ,b2980,b2981,b2982,b2983,b2984,b2985,b2986,b2987,b2988,b2989,b2990 ,b2991,b2992,b2993,b2994,b2995,b2996,b2997,b2998,b2999,b3000,b3001 ,b3002,b3003,b3004,b3005,b3006,b3007,b3008,b3009,b3010,b3011,b3012 ,b3013,b3014,b3015,b3016,b3017,b3018,b3019,b3020,b3021,b3022,b3023 ,b3024,b3025,b3026,b3027,b3028,b3029,b3030,b3031,b3032,b3033,b3034 ,b3035,b3036,b3037,b3038,b3039,b3040,b3041,b3042,b3043,b3044,b3045 ,b3046,b3047,b3048,b3049,b3050,b3051,b3052,b3053,b3054,b3055,b3056 ,b3057,b3058,b3059,b3060,b3061,b3062,b3063,b3064,b3065,b3066,b3067 ,b3068,b3069,b3070,b3071,b3072,b3073,b3074,b3075,b3076,b3077,b3078 ,b3079,b3080,b3081,b3082,b3083,b3084,b3085,b3086,b3087,b3088,b3089 ,b3090,b3091,b3092,b3093,b3094,b3095,b3096,b3097,b3098,b3099,b3100 ,b3101,b3102,b3103,b3104,b3105,b3106,b3107,b3108,b3109,b3110,b3111 ,b3112,b3113,b3114,b3115,b3116,b3117,b3118,b3119,b3120,b3121,b3122 ,b3123,b3124,b3125,b3126,b3127,b3128,b3129,b3130,b3131,b3132,b3133 ,b3134,b3135,b3136,b3137,b3138,b3139,b3140,b3141,b3142,b3143,b3144 ,b3145,b3146,b3147,b3148,b3149,b3150,b3151,b3152,b3153,b3154,b3155 ,b3156,b3157,b3158,b3159,b3160,b3161,b3162,b3163,b3164,b3165,b3166 ,b3167,b3168,b3169,b3170,b3171,b3172,b3173,b3174,b3175,b3176,b3177 ,b3178,b3179,b3180,b3181,b3182,b3183,b3184,b3185,b3186,b3187,b3188 ,b3189,b3190,b3191,b3192,b3193,b3194,b3195,b3196,b3197,b3198,b3199 ,b3200,b3201,b3202,b3203,b3204,b3205,b3206,b3207,b3208,b3209,b3210 ,b3211,b3212,b3213,b3214,b3215,b3216,b3217,b3218,b3219,b3220,b3221 ,b3222,b3223,b3224,b3225,b3226,b3227,b3228,b3229,b3230,b3231,b3232 ,b3233,b3234,b3235,b3236,b3237,b3238,b3239,b3240,b3241,b3242,b3243 ,b3244,b3245,b3246,b3247,b3248,b3249,b3250,b3251,b3252,b3253,b3254 ,b3255,b3256,b3257,b3258,b3259,b3260,b3261,b3262,b3263,b3264,b3265 ,b3266,b3267,b3268,b3269,b3270,b3271,b3272,b3273,b3274,b3275,b3276 ,b3277,b3278,b3279,b3280,b3281,b3282,b3283,b3284,b3285,b3286,b3287 ,b3288,b3289,b3290,b3291,b3292,b3293,b3294,b3295,b3296,b3297,b3298 ,b3299,b3300,b3301,b3302,b3303,b3304,b3305,b3306,b3307,b3308,b3309 ,b3310,b3311,b3312,b3313,b3314,b3315,b3316,b3317,b3318,b3319,b3320 ,b3321,b3322,b3323,b3324,b3325,b3326,b3327,b3328,b3329,b3330,b3331 ,b3332,b3333,b3334,b3335,b3336,b3337,b3338,b3339,b3340,b3341,b3342 ,b3343,b3344,b3345,b3346,b3347,b3348,b3349,b3350,b3351,b3352,b3353 ,b3354,b3355,b3356,b3357,b3358,b3359,b3360,b3361,b3362,b3363,b3364 ,b3365,b3366,b3367,b3368,b3369,b3370,b3371,b3372,b3373,b3374,b3375 ,b3376,b3377,b3378,b3379,b3380,b3381,b3382,b3383,b3384,b3385,b3386 ,b3387,b3388,b3389,b3390,b3391,b3392,b3393,b3394,b3395,b3396,b3397 ,b3398,b3399,b3400,b3401,b3402,b3403,b3404,b3405,b3406,b3407,b3408 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,x27990,x27991,x27992,x27993,x27994,x27995,x27996,x27997,x27998 ,x27999,x28000,x28001,x28002,x28003,x28004,x28005,x28006,x28007 ,x28008,x28009,x28010,x28011,x28012,x28013,x28014,x28015,x28016 ,x28017,x28018,x28019,x28020,x28021,x28022,x28023,x28024,x28025 ,x28026,x28027,x28028,x28029,x28030,x28031,x28032,x28033,x28034 ,x28035,x28036,x28037,x28038,x28039,x28040,x28041,x28042,x28043 ,x28044,x28045,x28046,x28047,x28048,x28049,x28050,x28051,x28052 ,x28053,x28054,x28055,x28056,x28057,x28058,x28059,x28060,x28061 ,x28062,x28063,x28064,x28065,x28066,x28067,x28068,x28069,x28070 ,x28071,x28072,x28073,x28074,x28075,x28076,x28077,x28078,x28079 ,x28080,x28081,x28082,x28083,x28084,x28085,x28086,x28087,x28088 ,x28089,x28090,x28091,x28092,x28093,x28094,x28095,x28096,x28097 ,x28098,x28099,x28100,x28101,x28102,x28103,x28104,x28105,x28106 ,x28107,x28108,x28109,x28110,x28111,x28112,x28113,x28114,x28115 ,x28116,x28117,x28118,x28119,x28120,x28121,x28122,x28123,x28124 ,x28125,x28126,x28127,x28128,x28129,x28130,x28131,x28132,x28133 ,x28134,x28135,x28136,x28137,x28138,x28139,x28140,x28141,x28142 ,x28143; Positive Variables x4452,x4453,x4454,x4455,x4456,x4457,x4458,x4459,x4460 ,x4461,x4462,x4463,x4464,x4465,x4466,x4467,x4468,x4469,x4470,x4471 ,x4472,x4473,x4474,x4477,x4478,x4479,x4480,x4481,x4482,x4483,x4484 ,x4485,x4486,x4487,x4488,x4489,x4490,x4491,x4492,x4493,x4494,x4495 ,x4496,x4497,x4498,x4499,x4500,x4501,x4502,x4503,x4504,x4505,x4506 ,x4507,x4508,x4509,x4510,x4511,x4512,x4513,x4514,x4515,x4516,x4517 ,x4518,x4519,x4520,x4521,x4522,x4523,x4524,x4525,x4526,x4527,x4528 ,x4529,x4530,x4531,x4532,x4533,x4534,x4535,x4536,x4537,x4538,x4539 ,x4540,x4541,x4542,x4543,x4544,x4545,x4546,x4548,x4549,x4550,x4551 ,x4552,x4553,x4554,x4555,x4556,x4557,x4558,x4559,x4560,x4561,x4562 ,x4563,x4564,x4565,x4566,x4567,x4568,x4569,x4570,x4573,x4574,x4575 ,x4576,x4577,x4578,x4579,x4580,x4581,x4582,x4583,x4584,x4585,x4586 ,x4587,x4588,x4589,x4590,x4591,x4592,x4593,x4594,x4595,x4596,x4597 ,x4598,x4599,x4600,x4601,x4602,x4603,x4604,x4605,x4606,x4607,x4608 ,x4609,x4610,x4611,x4612,x4613,x4614,x4615,x4616,x4617,x4618,x4619 ,x4620,x4621,x4622,x4623,x4624,x4625,x4626,x4627,x4628,x4629,x4630 ,x4631,x4632,x4633,x4634,x4635,x4636,x4637,x4638,x4639,x4640,x4641 ,x4642,x4645,x4646,x4647,x4648,x4649,x4650,x4651,x4652,x4653,x4654 ,x4655,x4656,x4657,x4658,x4659,x4660,x4661,x4662,x4663,x4664,x4665 ,x4666,x4667,x4668,x4669,x4670,x4671,x4672,x4673,x4674,x4675,x4676 ,x4677,x4678,x4679,x4680,x4681,x4682,x4683,x4684,x4685,x4686,x4687 ,x4688,x4689,x4690,x4691,x4692,x4693,x4694,x4695,x4696,x4697,x4698 ,x4699,x4700,x4701,x4702,x4703,x4704,x4705,x4706,x4707,x4708,x4709 ,x4710,x4711,x4712,x4713,x4714,x4715,x4716,x4717,x4718,x4719,x4720 ,x4721,x4722,x4723,x4724,x4725,x4726,x4727,x4728,x4729,x4730,x4731 ,x4732,x4733,x4734,x4735,x4736,x4737,x4738,x4739,x4740,x4741,x4742 ,x4743,x4744,x4745,x4746,x4747,x4748,x4749,x4750,x4751,x4752,x4753 ,x4754,x4755,x4756,x4757,x4758,x4759,x4760,x4761,x4762,x4763,x4764 ,x4765,x4766,x4767,x4768,x4769,x4770,x4771,x4772,x4773,x4774,x4775 ,x4776,x4777,x4778,x4779,x4780,x4781,x4782,x4783,x4784,x4785,x4786 ,x4787,x4788,x4789,x4790,x4791,x4792,x4793,x4794,x4795,x4796,x4797 ,x4798,x4799,x4800,x4801,x4802,x4803,x4804,x4805,x4806,x4807,x4808 ,x4809,x4810,x4811,x4812,x4813,x4814,x4815,x4816,x4817,x4818,x4819 ,x4820,x4821,x4822,x4823,x4824,x4825,x4826,x4827,x4828,x4829,x4830 ,x4831,x4832,x4833,x4834,x4835,x4836,x4837,x4838,x4839,x4840,x4841 ,x4842,x4843,x4844,x4845,x4846,x4847,x4848,x4849,x4850,x4851,x4852 ,x4853,x4854,x4855,x4856,x4857,x4858,x4859,x4860,x4861,x4862,x4863 ,x4864,x4865,x4866,x4867,x4868,x4869,x4870,x4871,x4872,x4873,x4874 ,x4875,x4876,x4877,x4878,x4879,x4880,x4881,x4882,x4883,x4884,x4885 ,x4886,x4887,x4888,x4889,x4890,x4891,x4892,x4893,x4894,x4895,x4896 ,x4897,x4898,x4899,x4900,x4901,x4902,x4903,x4904,x4905,x4906,x4907 ,x4908,x4909,x4910,x4911,x4912,x4913,x4914,x4915,x4916,x4917,x4918 ,x4919,x4920,x4921,x4922,x4923,x4924,x4925,x4926,x4927,x4928,x4929 ,x4930,x4931,x4932,x4933,x4934,x4935,x4936,x4937,x4938,x4939,x4940 ,x4941,x4942,x4943,x4944,x4945,x4946,x4947,x4948,x4949,x4950,x4951 ,x4952,x4953,x4954,x4955,x4956,x4957,x4958,x4959,x4960,x4961,x4962 ,x4963,x4964,x4965,x4966,x4967,x4968,x4969,x4970,x4971,x4972,x4973 ,x4974,x4975,x4976,x4977,x4978,x4979,x4980,x4981,x4982,x4983,x4984 ,x4985,x4986,x4987,x4988,x4989,x4990,x4991,x4992,x4993,x4994,x4995 ,x4996,x4997,x4998,x4999,x5000,x5001,x5002,x5003,x5004,x5005,x5006 ,x5007,x5008,x5009,x5010,x5011,x5012,x5013,x5014,x5015,x5016,x5017 ,x5019,x5020,x5021,x5022,x5023,x5024,x5025,x5026,x5027,x5028,x5029 ,x5030,x5031,x5032,x5033,x5034,x5035,x5036,x5037,x5038,x5039,x5040 ,x5041,x5042,x5043,x5044,x5045,x5046,x5047,x5048,x5049,x5050,x5051 ,x5052,x5053,x5054,x5055,x5056,x5057,x5058,x5059,x5060,x5061,x5062 ,x5063,x5064,x5065,x5066,x5067,x5068,x5069,x5070,x5071,x5072,x5073 ,x5074,x5075,x5076,x5077,x5078,x5079,x5080,x5081,x5082,x5083,x5084 ,x5085,x5086,x5087,x5088,x5089,x5090,x5091,x5092,x5093,x5094,x5095 ,x5096,x5097,x5098,x5099,x5100,x5101,x5102,x5103,x5104,x5105,x5106 ,x5107,x5108,x5109,x5110,x5111,x5112,x5113,x5116,x5117,x5118,x5119 ,x5120,x5121,x5122,x5123,x5124,x5125,x5126,x5127,x5128,x5129,x5130 ,x5131,x5132,x5133,x5134,x5135,x5136,x5137,x5140,x5141,x5142,x5143 ,x5144,x5145,x5146,x5147,x5148,x5149,x5150,x5151,x5152,x5153,x5154 ,x5155,x5156,x5157,x5158,x5159,x5160,x5161,x5162,x5163,x5164,x5165 ,x5166,x5167,x5168,x5169,x5170,x5171,x5172,x5173,x5174,x5175,x5176 ,x5177,x5178,x5179,x5180,x5181,x5182,x5183,x5184,x5185,x5186,x5187 ,x5188,x5189,x5190,x5191,x5192,x5193,x5194,x5195,x5196,x5197,x5198 ,x5199,x5200,x5201,x5202,x5203,x5204,x5205,x5206,x5207,x5208,x5209 ,x5210,x5211,x5212,x5213,x5214,x5215,x5216,x5217,x5218,x5219,x5220 ,x5221,x5222,x5223,x5224,x5225,x5226,x5227,x5228,x5229,x5230,x5231 ,x5232,x5233,x5234,x5235,x5236,x5237,x5238,x5239,x5240,x5241,x5242 ,x5243,x5244,x5245,x5246,x5247,x5248,x5249,x5250,x5251,x5252,x5253 ,x5254,x5255,x5256,x5257,x5258,x5259,x5260,x5261,x5262,x5263,x5264 ,x5265,x5266,x5267,x5268,x5269,x5270,x5271,x5272,x5273,x5274,x5275 ,x5276,x5277,x5280,x5281,x5282,x5283,x5284,x5285,x5286,x5287,x5288 ,x5289,x5290,x5291,x5292,x5293,x5294,x5295,x5296,x5297,x5298,x5299 ,x5300,x5301,x5305,x5306,x5307,x5308,x5309,x5310,x5311,x5312,x5313 ,x5314,x5315,x5316,x5317,x5318,x5319,x5320,x5321,x5322,x5323,x5324 ,x5325,x5326,x5327,x5328,x5329,x5330,x5331,x5332,x5333,x5334,x5335 ,x5336,x5337,x5338,x5339,x5340,x5341,x5342,x5343,x5344,x5345,x5346 ,x5347,x5348,x5349,x5352,x5353,x5354,x5355,x5356,x5357,x5358,x5359 ,x5360,x5361,x5362,x5363,x5364,x5365,x5366,x5367,x5368,x5369,x5370 ,x5371,x5372,x5373,x5375,x5376,x5377,x5378,x5379,x5380,x5381,x5382 ,x5383,x5384,x5385,x5386,x5387,x5388,x5389,x5390,x5391,x5392,x5393 ,x5394,x5395,x5396,x5397,x5398,x5399,x5400,x5401,x5402,x5403,x5404 ,x5405,x5406,x5407,x5408,x5409,x5410,x5411,x5412,x5413,x5414,x5415 ,x5416,x5417,x5418,x5419,x5420,x5421,x5423,x5424,x5425,x5426,x5427 ,x5428,x5429,x5430,x5431,x5432,x5433,x5434,x5435,x5436,x5437,x5438 ,x5439,x5440,x5441,x5442,x5443,x5444,x5445,x5446,x5447,x5448,x5449 ,x5450,x5451,x5452,x5453,x5454,x5455,x5456,x5457,x5458,x5459,x5460 ,x5461,x5462,x5463,x5464,x5465,x5466,x5467,x5468,x5469,x5470,x5471 ,x5472,x5473,x5474,x5475,x5476,x5477,x5478,x5479,x5480,x5481,x5482 ,x5483,x5484,x5485,x5486,x5487,x5488,x5489,x5490,x5491,x5492,x5493 ,x5494,x5495,x5496,x5497,x5498,x5499,x5500,x5501,x5502,x5503,x5504 ,x5505,x5506,x5507,x5508,x5509,x5510,x5511,x5512,x5513,x5514,x5515 ,x5516,x5517,x5520,x5521,x5522,x5523,x5524,x5525,x5526,x5527,x5528 ,x5529,x5530,x5531,x5532,x5533,x5534,x5535,x5536,x5537,x5538,x5539 ,x5540,x5541,x5542,x5543,x5544,x5545,x5546,x5547,x5548,x5549,x5550 ,x5551,x5552,x5553,x5554,x5555,x5556,x5557,x5558,x5559,x5560,x5561 ,x5562,x5563,x5564,x5565,x5566,x5567,x5568,x5569,x5570,x5571,x5572 ,x5573,x5574,x5575,x5576,x5577,x5578,x5579,x5580,x5581,x5582,x5583 ,x5584,x5585,x5586,x5587,x5588,x5589,x5590,x5591,x5592,x5593,x5594 ,x5595,x5596,x5597,x5598,x5599,x5600,x5601,x5602,x5603,x5604,x5605 ,x5606,x5607,x5608,x5609,x5610,x5611,x5612,x5613,x5614,x5615,x5616 ,x5617,x5618,x5619,x5620,x5621,x5622,x5623,x5624,x5625,x5626,x5627 ,x5628,x5629,x5630,x5631,x5632,x5633,x5634,x5635,x5636,x5637,x5638 ,x5639,x5640,x5641,x5642,x5643,x5644,x5645,x5646,x5647,x5648,x5649 ,x5650,x5651,x5652,x5653,x5654,x5655,x5656,x5657,x5658,x5659,x5660 ,x5661,x5662,x5663,x5664,x5665,x5666,x5667,x5668,x5669,x5670,x5671 ,x5672,x5673,x5674,x5675,x5676,x5677,x5678,x5679,x5680,x5681,x5682 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,x18255,x18256,x18257,x18258,x18259,x18260,x18261,x18262,x18263 ,x18264,x18265,x18266,x18267,x18268,x18269,x18270,x18271,x18272 ,x18273,x18274,x18275,x18276,x18277,x18278,x18279,x18280,x18281 ,x18282,x18283,x18284,x18285,x18286,x18287,x18288,x18289,x18290 ,x18291,x18292,x18293,x18294,x18295,x18296,x18297,x18298,x18299 ,x18300,x18301,x18302,x18303,x18304,x18305,x18306,x18307,x18308 ,x18309,x18310,x18311,x18312,x18313,x18314,x18315,x18316,x18317 ,x18318,x18319,x18320,x18321,x18322,x18323,x18324,x18325,x18326 ,x18327,x18328,x18329,x18330,x18331,x18332,x18333,x18334,x18335 ,x18336,x18337,x18338,x18339,x18340,x18341,x18342,x18343,x18344 ,x18345,x18346,x18347,x18348,x18349,x18350,x18351,x18352,x18353 ,x18354,x18355,x18356,x18357,x18358,x18359,x18360,x18361,x18362 ,x18363,x18364,x18365,x18366,x18367,x18368,x18369,x18370,x18371 ,x18372,x18373,x18374,x18375,x18376,x18377,x18378,x18379,x18380 ,x18381,x18382,x18383,x18384,x18385,x18386,x18387,x18388,x18389 ,x18390,x18391,x18392,x18393,x18394,x18395,x18396,x18397,x18398 ,x18399,x18400,x18401,x18402,x18403,x18404,x18405,x18406,x18407 ,x18408,x18409,x18410,x18411,x18412,x18413,x18414,x18415,x18416 ,x18417,x18418,x18419,x18420,x18421,x18422,x18423,x18424,x18425 ,x18426,x18427,x18428,x18429,x18430,x18431,x18432,x18433,x18434 ,x18435,x18436,x18437,x18438,x18439,x18440,x18441,x18442,x18443 ,x18444,x18445,x18446,x18447,x18448,x18449,x18450,x18451,x18452 ,x18453,x18454,x18455,x18456,x18457,x18458,x18459,x18460,x18461 ,x18462,x18463,x18464,x18465,x18466,x18467,x18468,x18469,x18470 ,x18471,x18472,x18473,x18474,x18475,x18476,x18477,x18478,x18479 ,x18480,x18481,x18482,x18483,x18484,x18485,x18486,x18487,x18488 ,x18489,x18490,x18491,x18492,x18493,x18494,x18495,x18496,x18497 ,x18498,x18499,x18500,x18501,x18502,x18503,x18504,x18505,x18506 ,x18507,x18508,x18509,x18510,x18511,x18512,x18513,x18514,x18515 ,x18516,x18517,x18518,x18519,x18520,x18521,x18522,x18523,x18524 ,x18525,x18526,x18527,x18528,x18529,x18530,x18531,x18532,x18533 ,x18534,x18535,x18536,x18537,x18538,x18539,x18540,x18541,x18542 ,x18543; Binary Variables b2,b3,b4,b5,b6,b7,b8,b9,b10,b11,b12,b13,b14,b15,b16,b17,b18 ,b19,b20,b21,b22,b23,b24,b25,b26,b27,b28,b29,b30,b31,b32,b33,b34,b35 ,b36,b37,b38,b39,b40,b41,b42,b43,b44,b45,b46,b47,b48,b49,b50,b51,b52 ,b53,b54,b55,b56,b57,b58,b59,b60,b61,b62,b63,b64,b65,b66,b67,b68,b69 ,b70,b71,b72,b73,b74,b75,b76,b77,b78,b79,b80,b81,b82,b83,b84,b85,b86 ,b87,b88,b89,b90,b91,b92,b93,b94,b95,b96,b97,b98,b99,b100,b101,b102 ,b103,b104,b105,b106,b107,b108,b109,b110,b111,b112,b113,b114,b115 ,b116,b117,b118,b119,b120,b121,b122,b123,b124,b125,b126,b127,b128 ,b129,b130,b131,b132,b133,b134,b135,b136,b137,b138,b139,b140,b141 ,b142,b143,b144,b145,b146,b147,b148,b149,b150,b151,b152,b153,b154 ,b155,b156,b157,b158,b159,b160,b161,b162,b163,b164,b165,b166,b167 ,b168,b169,b170,b171,b172,b173,b174,b175,b176,b177,b178,b179,b180 ,b181,b182,b183,b184,b185,b186,b187,b188,b189,b190,b191,b192,b193 ,b194,b195,b196,b197,b198,b199,b200,b201,b202,b203,b204,b205,b206 ,b207,b208,b209,b210,b211,b212,b213,b214,b215,b216,b217,b218,b219 ,b220,b221,b222,b223,b224,b225,b226,b227,b228,b229,b230,b231,b232 ,b233,b234,b235,b236,b237,b238,b239,b240,b241,b242,b243,b244,b245 ,b246,b247,b248,b249,b250,b251,b252,b253,b254,b255,b256,b257,b258 ,b259,b260,b261,b262,b263,b264,b265,b266,b267,b268,b269,b270,b271 ,b272,b273,b274,b275,b276,b277,b278,b279,b280,b281,b282,b283,b284 ,b285,b286,b287,b288,b289,b290,b291,b292,b293,b294,b295,b296,b297 ,b298,b299,b300,b301,b302,b303,b304,b305,b306,b307,b308,b309,b310 ,b311,b312,b313,b314,b315,b316,b317,b318,b319,b320,b321,b322,b323 ,b324,b325,b326,b327,b328,b329,b330,b331,b332,b333,b334,b335,b336 ,b337,b338,b339,b340,b341,b342,b343,b344,b345,b346,b347,b348,b349 ,b350,b351,b352,b353,b354,b355,b356,b357,b358,b359,b360,b361,b362 ,b363,b364,b365,b366,b367,b368,b369,b370,b371,b372,b373,b374,b375 ,b376,b377,b378,b379,b380,b381,b382,b383,b384,b385,b386,b387,b388 ,b389,b390,b391,b392,b393,b394,b395,b396,b397,b398,b399,b400,b401 ,b402,b403,b404,b405,b406,b407,b408,b409,b410,b411,b412,b413,b414 ,b415,b416,b417,b418,b419,b420,b421,b422,b423,b424,b425,b426,b427 ,b428,b429,b430,b431,b432,b433,b434,b435,b436,b437,b438,b439,b440 ,b441,b442,b443,b444,b445,b446,b447,b448,b449,b450,b451,b452,b453 ,b454,b455,b456,b457,b458,b459,b460,b461,b462,b463,b464,b465,b466 ,b467,b468,b469,b470,b471,b472,b473,b474,b475,b476,b477,b478,b479 ,b480,b481,b482,b483,b484,b485,b486,b487,b488,b489,b490,b491,b492 ,b493,b494,b495,b496,b497,b498,b499,b500,b501,b502,b503,b504,b505 ,b506,b507,b508,b509,b510,b511,b512,b513,b514,b515,b516,b517,b518 ,b519,b520,b521,b522,b523,b524,b525,b526,b527,b528,b529,b530,b531 ,b532,b533,b534,b535,b536,b537,b538,b539,b540,b541,b542,b543,b544 ,b545,b546,b547,b548,b549,b550,b551,b552,b553,b554,b555,b556,b557 ,b558,b559,b560,b561,b562,b563,b564,b565,b566,b567,b568,b569,b570 ,b571,b572,b573,b574,b575,b576,b577,b578,b579,b580,b581,b582,b583 ,b584,b585,b586,b587,b588,b589,b590,b591,b592,b593,b594,b595,b596 ,b597,b598,b599,b600,b601,b602,b603,b604,b605,b606,b607,b608,b609 ,b610,b611,b612,b613,b614,b615,b616,b617,b618,b619,b620,b621,b622 ,b623,b624,b625,b626,b627,b628,b629,b630,b631,b632,b633,b634,b635 ,b636,b637,b638,b639,b640,b641,b642,b643,b644,b645,b646,b647,b648 ,b649,b650,b651,b652,b653,b654,b655,b656,b657,b658,b659,b660,b661 ,b662,b663,b664,b665,b666,b667,b668,b669,b670,b671,b672,b673,b674 ,b675,b676,b677,b678,b679,b680,b681,b682,b683,b684,b685,b686,b687 ,b688,b689,b690,b691,b692,b693,b694,b695,b696,b697,b698,b699,b700 ,b701,b702,b703,b704,b705,b706,b707,b708,b709,b710,b711,b712,b713 ,b714,b715,b716,b717,b718,b719,b720,b721,b722,b723,b724,b725,b726 ,b727,b728,b729,b730,b731,b732,b733,b734,b735,b736,b737,b738,b739 ,b740,b741,b742,b743,b744,b745,b746,b747,b748,b749,b750,b751,b752 ,b753,b754,b755,b756,b757,b758,b759,b760,b761,b762,b763,b764,b765 ,b766,b767,b768,b769,b770,b771,b772,b773,b774,b775,b776,b777,b778 ,b779,b780,b781,b782,b783,b784,b785,b786,b787,b788,b789,b790,b791 ,b792,b793,b794,b795,b796,b797,b798,b799,b800,b801,b802,b803,b804 ,b805,b806,b807,b808,b809,b810,b811,b812,b813,b814,b815,b816,b817 ,b818,b819,b820,b821,b822,b823,b824,b825,b826,b827,b828,b829,b830 ,b831,b832,b833,b834,b835,b836,b837,b838,b839,b840,b841,b842,b843 ,b844,b845,b846,b847,b848,b849,b850,b851,b852,b853,b854,b855,b856 ,b857,b858,b859,b860,b861,b862,b863,b864,b865,b866,b867,b868,b869 ,b870,b871,b872,b873,b874,b875,b876,b877,b878,b879,b880,b881,b882 ,b883,b884,b885,b886,b887,b888,b889,b890,b891,b892,b893,b894,b895 ,b896,b897,b898,b899,b900,b901,b902,b903,b904,b905,b906,b907,b908 ,b909,b910,b911,b912,b913,b914,b915,b916,b917,b918,b919,b920,b921 ,b922,b923,b924,b925,b926,b927,b928,b929,b930,b931,b932,b933,b934 ,b935,b936,b937,b938,b939,b940,b941,b942,b943,b944,b945,b946,b947 ,b948,b949,b950,b951,b952,b953,b954,b955,b956,b957,b958,b959,b960 ,b961,b962,b963,b964,b965,b966,b967,b968,b969,b970,b971,b972,b973 ,b974,b975,b976,b977,b978,b979,b980,b981,b982,b983,b984,b985,b986 ,b987,b988,b989,b990,b991,b992,b993,b994,b995,b996,b997,b998,b999 ,b1000,b1001,b1002,b1003,b1004,b1005,b1006,b1007,b1008,b1009,b1010 ,b1011,b1012,b1013,b1014,b1015,b1016,b1017,b1018,b1019,b1020,b1021 ,b1022,b1023,b1024,b1025,b1026,b1027,b1028,b1029,b1030,b1031,b1032 ,b1033,b1034,b1035,b1036,b1037,b1038,b1039,b1040,b1041,b1042,b1043 ,b1044,b1045,b1046,b1047,b1048,b1049,b1050,b1051,b1052,b1053,b1054 ,b1055,b1056,b1057,b1058,b1059,b1060,b1061,b1062,b1063,b1064,b1065 ,b1066,b1067,b1068,b1069,b1070,b1071,b1072,b1073,b1074,b1075,b1076 ,b1077,b1078,b1079,b1080,b1081,b1082,b1083,b1084,b1085,b1086,b1087 ,b1088,b1089,b1090,b1091,b1092,b1093,b1094,b1095,b1096,b1097,b1098 ,b1099,b1100,b1101,b1102,b1103,b1104,b1105,b1106,b1107,b1108,b1109 ,b1110,b1111,b1112,b1113,b1114,b1115,b1116,b1117,b1118,b1119,b1120 ,b1121,b1122,b1123,b1124,b1125,b1126,b1127,b1128,b1129,b1130,b1131 ,b1132,b1133,b1134,b1135,b1136,b1137,b1138,b1139,b1140,b1141,b1142 ,b1143,b1144,b1145,b1146,b1147,b1148,b1149,b1150,b1151,b1152,b1153 ,b1154,b1155,b1156,b1157,b1158,b1159,b1160,b1161,b1162,b1163,b1164 ,b1165,b1166,b1167,b1168,b1169,b1170,b1171,b1172,b1173,b1174,b1175 ,b1176,b1177,b1178,b1179,b1180,b1181,b1182,b1183,b1184,b1185,b1186 ,b1187,b1188,b1189,b1190,b1191,b1192,b1193,b1194,b1195,b1196,b1197 ,b1198,b1199,b1200,b1201,b1202,b1203,b1204,b1205,b1206,b1207,b1208 ,b1209,b1210,b1211,b1212,b1213,b1214,b1215,b1216,b1217,b1218,b1219 ,b1220,b1221,b1222,b1223,b1224,b1225,b1226,b1227,b1228,b1229,b1230 ,b1231,b1232,b1233,b1234,b1235,b1236,b1237,b1238,b1239,b1240,b1241 ,b1242,b1243,b1244,b1245,b1246,b1247,b1248,b1249,b1250,b1251,b1252 ,b1253,b1254,b1255,b1256,b1257,b1258,b1259,b1260,b1261,b1262,b1263 ,b1264,b1265,b1266,b1267,b1268,b1269,b1270,b1271,b1272,b1273,b1274 ,b1275,b1276,b1277,b1278,b1279,b1280,b1281,b1282,b1283,b1284,b1285 ,b1286,b1287,b1288,b1289,b1290,b1291,b1292,b1293,b1294,b1295,b1296 ,b1297,b1298,b1299,b1300,b1301,b1302,b1303,b1304,b1305,b1306,b1307 ,b1308,b1309,b1310,b1311,b1312,b1313,b1314,b1315,b1316,b1317,b1318 ,b1319,b1320,b1321,b1322,b1323,b1324,b1325,b1326,b1327,b1328,b1329 ,b1330,b1331,b1332,b1333,b1334,b1335,b1336,b1337,b1338,b1339,b1340 ,b1341,b1342,b1343,b1344,b1345,b1346,b1347,b1348,b1349,b1350,b1351 ,b1352,b1353,b1354,b1355,b1356,b1357,b1358,b1359,b1360,b1361,b1362 ,b1363,b1364,b1365,b1366,b1367,b1368,b1369,b1370,b1371,b1372,b1373 ,b1374,b1375,b1376,b1377,b1378,b1379,b1380,b1381,b1382,b1383,b1384 ,b1385,b1386,b1387,b1388,b1389,b1390,b1391,b1392,b1393,b1394,b1395 ,b1396,b1397,b1398,b1399,b1400,b1401,b1402,b1403,b1404,b1405,b1406 ,b1407,b1408,b1409,b1410,b1411,b1412,b1413,b1414,b1415,b1416,b1417 ,b1418,b1419,b1420,b1421,b1422,b1423,b1424,b1425,b1426,b1427,b1428 ,b1429,b1430,b1431,b1432,b1433,b1434,b1435,b1436,b1437,b1438,b1439 ,b1440,b1441,b1442,b1443,b1444,b1445,b1446,b1447,b1448,b1449,b1450 ,b1451,b1452,b1453,b1454,b1455,b1456,b1457,b1458,b1459,b1460,b1461 ,b1462,b1463,b1464,b1465,b1466,b1467,b1468,b1469,b1470,b1471,b1472 ,b1473,b1474,b1475,b1476,b1477,b1478,b1479,b1480,b1481,b1482,b1483 ,b1484,b1485,b1486,b1487,b1488,b1489,b1490,b1491,b1492,b1493,b1494 ,b1495,b1496,b1497,b1498,b1499,b1500,b1501,b1502,b1503,b1504,b1505 ,b1506,b1507,b1508,b1509,b1510,b1511,b1512,b1513,b1514,b1515,b1516 ,b1517,b1518,b1519,b1520,b1521,b1522,b1523,b1524,b1525,b1526,b1527 ,b1528,b1529,b1530,b1531,b1532,b1533,b1534,b1535,b1536,b1537,b1538 ,b1539,b1540,b1541,b1542,b1543,b1544,b1545,b1546,b1547,b1548,b1549 ,b1550,b1551,b1552,b1553,b1554,b1555,b1556,b1557,b1558,b1559,b1560 ,b1561,b1562,b1563,b1564,b1565,b1566,b1567,b1568,b1569,b1570,b1571 ,b1572,b1573,b1574,b1575,b1576,b1577,b1578,b1579,b1580,b1581,b1582 ,b1583,b1584,b1585,b1586,b1587,b1588,b1589,b1590,b1591,b1592,b1593 ,b1594,b1595,b1596,b1597,b1598,b1599,b1600,b1601,b1602,b1603,b1604 ,b1605,b1606,b1607,b1608,b1609,b1610,b1611,b1612,b1613,b1614,b1615 ,b1616,b1617,b1618,b1619,b1620,b1621,b1622,b1623,b1624,b1625,b1626 ,b1627,b1628,b1629,b1630,b1631,b1632,b1633,b1634,b1635,b1636,b1637 ,b1638,b1639,b1640,b1641,b1642,b1643,b1644,b1645,b1646,b1647,b1648 ,b1649,b1650,b1651,b1652,b1653,b1654,b1655,b1656,b1657,b1658,b1659 ,b1660,b1661,b1662,b1663,b1664,b1665,b1666,b1667,b1668,b1669,b1670 ,b1671,b1672,b1673,b1674,b1675,b1676,b1677,b1678,b1679,b1680,b1681 ,b1682,b1683,b1684,b1685,b1686,b1687,b1688,b1689,b1690,b1691,b1692 ,b1693,b1694,b1695,b1696,b1697,b1698,b1699,b1700,b1701,b1702,b1703 ,b1704,b1705,b1706,b1707,b1708,b1709,b1710,b1711,b1712,b1713,b1714 ,b1715,b1716,b1717,b1718,b1719,b1720,b1721,b1722,b1723,b1724,b1725 ,b1726,b1727,b1728,b1729,b1730,b1731,b1732,b1733,b1734,b1735,b1736 ,b1737,b1738,b1739,b1740,b1741,b1742,b1743,b1744,b1745,b1746,b1747 ,b1748,b1749,b1750,b1751,b1752,b1753,b1754,b1755,b1756,b1757,b1758 ,b1759,b1760,b1761,b1762,b1763,b1764,b1765,b1766,b1767,b1768,b1769 ,b1770,b1771,b1772,b1773,b1774,b1775,b1776,b1777,b1778,b1779,b1780 ,b1781,b1782,b1783,b1784,b1785,b1786,b1787,b1788,b1789,b1790,b1791 ,b1792,b1793,b1794,b1795,b1796,b1797,b1798,b1799,b1800,b1801,b1802 ,b1803,b1804,b1805,b1806,b1807,b1808,b1809,b1810,b1811,b1812,b1813 ,b1814,b1815,b1816,b1817,b1818,b1819,b1820,b1821,b1822,b1823,b1824 ,b1825,b1826,b1827,b1828,b1829,b1830,b1831,b1832,b1833,b1834,b1835 ,b1836,b1837,b1838,b1839,b1840,b1841,b1842,b1843,b1844,b1845,b1846 ,b1847,b1848,b1849,b1850,b1851,b1852,b1853,b1854,b1855,b1856,b1857 ,b1858,b1859,b1860,b1861,b1862,b1863,b1864,b1865,b1866,b1867,b1868 ,b1869,b1870,b1871,b1872,b1873,b1874,b1875,b1876,b1877,b1878,b1879 ,b1880,b1881,b1882,b1883,b1884,b1885,b1886,b1887,b1888,b1889,b1890 ,b1891,b1892,b1893,b1894,b1895,b1896,b1897,b1898,b1899,b1900,b1901 ,b1902,b1903,b1904,b1905,b1906,b1907,b1908,b1909,b1910,b1911,b1912 ,b1913,b1914,b1915,b1916,b1917,b1918,b1919,b1920,b1921,b1922,b1923 ,b1924,b1925,b1926,b1927,b1928,b1929,b1930,b1931,b1932,b1933,b1934 ,b1935,b1936,b1937,b1938,b1939,b1940,b1941,b1942,b1943,b1944,b1945 ,b1946,b1947,b1948,b1949,b1950,b1951,b1952,b1953,b1954,b1955,b1956 ,b1957,b1958,b1959,b1960,b1961,b1962,b1963,b1964,b1965,b1966,b1967 ,b1968,b1969,b1970,b1971,b1972,b1973,b1974,b1975,b1976,b1977,b1978 ,b1979,b1980,b1981,b1982,b1983,b1984,b1985,b1986,b1987,b1988,b1989 ,b1990,b1991,b1992,b1993,b1994,b1995,b1996,b1997,b1998,b1999,b2000 ,b2001,b2002,b2003,b2004,b2005,b2006,b2007,b2008,b2009,b2010,b2011 ,b2012,b2013,b2014,b2015,b2016,b2017,b2018,b2019,b2020,b2021,b2022 ,b2023,b2024,b2025,b2026,b2027,b2028,b2029,b2030,b2031,b2032,b2033 ,b2034,b2035,b2036,b2037,b2038,b2039,b2040,b2041,b2042,b2043,b2044 ,b2045,b2046,b2047,b2048,b2049,b2050,b2051,b2052,b2053,b2054,b2055 ,b2056,b2057,b2058,b2059,b2060,b2061,b2062,b2063,b2064,b2065,b2066 ,b2067,b2068,b2069,b2070,b2071,b2072,b2073,b2074,b2075,b2076,b2077 ,b2078,b2079,b2080,b2081,b2082,b2083,b2084,b2085,b2086,b2087,b2088 ,b2089,b2090,b2091,b2092,b2093,b2094,b2095,b2096,b2097,b2098,b2099 ,b2100,b2101,b2102,b2103,b2104,b2105,b2106,b2107,b2108,b2109,b2110 ,b2111,b2112,b2113,b2114,b2115,b2116,b2117,b2118,b2119,b2120,b2121 ,b2122,b2123,b2124,b2125,b2126,b2127,b2128,b2129,b2130,b2131,b2132 ,b2133,b2134,b2135,b2136,b2137,b2138,b2139,b2140,b2141,b2142,b2143 ,b2144,b2145,b2146,b2147,b2148,b2149,b2150,b2151,b2152,b2153,b2154 ,b2155,b2156,b2157,b2158,b2159,b2160,b2161,b2162,b2163,b2164,b2165 ,b2166,b2167,b2168,b2169,b2170,b2171,b2172,b2173,b2174,b2175,b2176 ,b2177,b2178,b2179,b2180,b2181,b2182,b2183,b2184,b2185,b2186,b2187 ,b2188,b2189,b2190,b2191,b2192,b2193,b2194,b2195,b2196,b2197,b2198 ,b2199,b2200,b2201,b2202,b2203,b2204,b2205,b2206,b2207,b2208,b2209 ,b2210,b2211,b2212,b2213,b2214,b2215,b2216,b2217,b2218,b2219,b2220 ,b2221,b2222,b2223,b2224,b2225,b2226,b2227,b2228,b2229,b2230,b2231 ,b2232,b2233,b2234,b2235,b2236,b2237,b2238,b2239,b2240,b2241,b2242 ,b2243,b2244,b2245,b2246,b2247,b2248,b2249,b2250,b2251,b2252,b2253 ,b2254,b2255,b2256,b2257,b2258,b2259,b2260,b2261,b2262,b2263,b2264 ,b2265,b2266,b2267,b2268,b2269,b2270,b2271,b2272,b2273,b2274,b2275 ,b2276,b2277,b2278,b2279,b2280,b2281,b2282,b2283,b2284,b2285,b2286 ,b2287,b2288,b2289,b2290,b2291,b2292,b2293,b2294,b2295,b2296,b2297 ,b2298,b2299,b2300,b2301,b2302,b2303,b2304,b2305,b2306,b2307,b2308 ,b2309,b2310,b2311,b2312,b2313,b2314,b2315,b2316,b2317,b2318,b2319 ,b2320,b2321,b2322,b2323,b2324,b2325,b2326,b2327,b2328,b2329,b2330 ,b2331,b2332,b2333,b2334,b2335,b2336,b2337,b2338,b2339,b2340,b2341 ,b2342,b2343,b2344,b2345,b2346,b2347,b2348,b2349,b2350,b2351,b2352 ,b2353,b2354,b2355,b2356,b2357,b2358,b2359,b2360,b2361,b2362,b2363 ,b2364,b2365,b2366,b2367,b2368,b2369,b2370,b2371,b2372,b2373,b2374 ,b2375,b2376,b2377,b2378,b2379,b2380,b2381,b2382,b2383,b2384,b2385 ,b2386,b2387,b2388,b2389,b2390,b2391,b2392,b2393,b2394,b2395,b2396 ,b2397,b2398,b2399,b2400,b2401,b2402,b2403,b2404,b2405,b2406,b2407 ,b2408,b2409,b2410,b2411,b2412,b2413,b2414,b2415,b2416,b2417,b2418 ,b2419,b2420,b2421,b2422,b2423,b2424,b2425,b2426,b2427,b2428,b2429 ,b2430,b2431,b2432,b2433,b2434,b2435,b2436,b2437,b2438,b2439,b2440 ,b2441,b2442,b2443,b2444,b2445,b2446,b2447,b2448,b2449,b2450,b2451 ,b2452,b2453,b2454,b2455,b2456,b2457,b2458,b2459,b2460,b2461,b2462 ,b2463,b2464,b2465,b2466,b2467,b2468,b2469,b2470,b2471,b2472,b2473 ,b2474,b2475,b2476,b2477,b2478,b2479,b2480,b2481,b2482,b2483,b2484 ,b2485,b2486,b2487,b2488,b2489,b2490,b2491,b2492,b2493,b2494,b2495 ,b2496,b2497,b2498,b2499,b2500,b2501,b2502,b2503,b2504,b2505,b2506 ,b2507,b2508,b2509,b2510,b2511,b2512,b2513,b2514,b2515,b2516,b2517 ,b2518,b2519,b2520,b2521,b2522,b2523,b2524,b2525,b2526,b2527,b2528 ,b2529,b2530,b2531,b2532,b2533,b2534,b2535,b2536,b2537,b2538,b2539 ,b2540,b2541,b2542,b2543,b2544,b2545,b2546,b2547,b2548,b2549,b2550 ,b2551,b2552,b2553,b2554,b2555,b2556,b2557,b2558,b2559,b2560,b2561 ,b2562,b2563,b2564,b2565,b2566,b2567,b2568,b2569,b2570,b2571,b2572 ,b2573,b2574,b2575,b2576,b2577,b2578,b2579,b2580,b2581,b2582,b2583 ,b2584,b2585,b2586,b2587,b2588,b2589,b2590,b2591,b2592,b2593,b2594 ,b2595,b2596,b2597,b2598,b2599,b2600,b2601,b2602,b2603,b2604,b2605 ,b2606,b2607,b2608,b2609,b2610,b2611,b2612,b2613,b2614,b2615,b2616 ,b2617,b2618,b2619,b2620,b2621,b2622,b2623,b2624,b2625,b2626,b2627 ,b2628,b2629,b2630,b2631,b2632,b2633,b2634,b2635,b2636,b2637,b2638 ,b2639,b2640,b2641,b2642,b2643,b2644,b2645,b2646,b2647,b2648,b2649 ,b2650,b2651,b2652,b2653,b2654,b2655,b2656,b2657,b2658,b2659,b2660 ,b2661,b2662,b2663,b2664,b2665,b2666,b2667,b2668,b2669,b2670,b2671 ,b2672,b2673,b2674,b2675,b2676,b2677,b2678,b2679,b2680,b2681,b2682 ,b2683,b2684,b2685,b2686,b2687,b2688,b2689,b2690,b2691,b2692,b2693 ,b2694,b2695,b2696,b2697,b2698,b2699,b2700,b2701,b2702,b2703,b2704 ,b2705,b2706,b2707,b2708,b2709,b2710,b2711,b2712,b2713,b2714,b2715 ,b2716,b2717,b2718,b2719,b2720,b2721,b2722,b2723,b2724,b2725,b2726 ,b2727,b2728,b2729,b2730,b2731,b2732,b2733,b2734,b2735,b2736,b2737 ,b2738,b2739,b2740,b2741,b2742,b2743,b2744,b2745,b2746,b2747,b2748 ,b2749,b2750,b2751,b2752,b2753,b2754,b2755,b2756,b2757,b2758,b2759 ,b2760,b2761,b2762,b2763,b2764,b2765,b2766,b2767,b2768,b2769,b2770 ,b2771,b2772,b2773,b2774,b2775,b2776,b2777,b2778,b2779,b2780,b2781 ,b2782,b2783,b2784,b2785,b2786,b2787,b2788,b2789,b2790,b2791,b2792 ,b2793,b2794,b2795,b2796,b2797,b2798,b2799,b2800,b2801,b2802,b2803 ,b2804,b2805,b2806,b2807,b2808,b2809,b2810,b2811,b2812,b2813,b2814 ,b2815,b2816,b2817,b2818,b2819,b2820,b2821,b2822,b2823,b2824,b2825 ,b2826,b2827,b2828,b2829,b2830,b2831,b2832,b2833,b2834,b2835,b2836 ,b2837,b2838,b2839,b2840,b2841,b2842,b2843,b2844,b2845,b2846,b2847 ,b2848,b2849,b2850,b2851,b2852,b2853,b2854,b2855,b2856,b2857,b2858 ,b2859,b2860,b2861,b2862,b2863,b2864,b2865,b2866,b2867,b2868,b2869 ,b2870,b2871,b2872,b2873,b2874,b2875,b2876,b2877,b2878,b2879,b2880 ,b2881,b2882,b2883,b2884,b2885,b2886,b2887,b2888,b2889,b2890,b2891 ,b2892,b2893,b2894,b2895,b2896,b2897,b2898,b2899,b2900,b2901,b2902 ,b2903,b2904,b2905,b2906,b2907,b2908,b2909,b2910,b2911,b2912,b2913 ,b2914,b2915,b2916,b2917,b2918,b2919,b2920,b2921,b2922,b2923,b2924 ,b2925,b2926,b2927,b2928,b2929,b2930,b2931,b2932,b2933,b2934,b2935 ,b2936,b2937,b2938,b2939,b2940,b2941,b2942,b2943,b2944,b2945,b2946 ,b2947,b2948,b2949,b2950,b2951,b2952,b2953,b2954,b2955,b2956,b2957 ,b2958,b2959,b2960,b2961,b2962,b2963,b2964,b2965,b2966,b2967,b2968 ,b2969,b2970,b2971,b2972,b2973,b2974,b2975,b2976,b2977,b2978,b2979 ,b2980,b2981,b2982,b2983,b2984,b2985,b2986,b2987,b2988,b2989,b2990 ,b2991,b2992,b2993,b2994,b2995,b2996,b2997,b2998,b2999,b3000,b3001 ,b3002,b3003,b3004,b3005,b3006,b3007,b3008,b3009,b3010,b3011,b3012 ,b3013,b3014,b3015,b3016,b3017,b3018,b3019,b3020,b3021,b3022,b3023 ,b3024,b3025,b3026,b3027,b3028,b3029,b3030,b3031,b3032,b3033,b3034 ,b3035,b3036,b3037,b3038,b3039,b3040,b3041,b3042,b3043,b3044,b3045 ,b3046,b3047,b3048,b3049,b3050,b3051,b3052,b3053,b3054,b3055,b3056 ,b3057,b3058,b3059,b3060,b3061,b3062,b3063,b3064,b3065,b3066,b3067 ,b3068,b3069,b3070,b3071,b3072,b3073,b3074,b3075,b3076,b3077,b3078 ,b3079,b3080,b3081,b3082,b3083,b3084,b3085,b3086,b3087,b3088,b3089 ,b3090,b3091,b3092,b3093,b3094,b3095,b3096,b3097,b3098,b3099,b3100 ,b3101,b3102,b3103,b3104,b3105,b3106,b3107,b3108,b3109,b3110,b3111 ,b3112,b3113,b3114,b3115,b3116,b3117,b3118,b3119,b3120,b3121,b3122 ,b3123,b3124,b3125,b3126,b3127,b3128,b3129,b3130,b3131,b3132,b3133 ,b3134,b3135,b3136,b3137,b3138,b3139,b3140,b3141,b3142,b3143,b3144 ,b3145,b3146,b3147,b3148,b3149,b3150,b3151,b3152,b3153,b3154,b3155 ,b3156,b3157,b3158,b3159,b3160,b3161,b3162,b3163,b3164,b3165,b3166 ,b3167,b3168,b3169,b3170,b3171,b3172,b3173,b3174,b3175,b3176,b3177 ,b3178,b3179,b3180,b3181,b3182,b3183,b3184,b3185,b3186,b3187,b3188 ,b3189,b3190,b3191,b3192,b3193,b3194,b3195,b3196,b3197,b3198,b3199 ,b3200,b3201,b3202,b3203,b3204,b3205,b3206,b3207,b3208,b3209,b3210 ,b3211,b3212,b3213,b3214,b3215,b3216,b3217,b3218,b3219,b3220,b3221 ,b3222,b3223,b3224,b3225,b3226,b3227,b3228,b3229,b3230,b3231,b3232 ,b3233,b3234,b3235,b3236,b3237,b3238,b3239,b3240,b3241,b3242,b3243 ,b3244,b3245,b3246,b3247,b3248,b3249,b3250,b3251,b3252,b3253,b3254 ,b3255,b3256,b3257,b3258,b3259,b3260,b3261,b3262,b3263,b3264,b3265 ,b3266,b3267,b3268,b3269,b3270,b3271,b3272,b3273,b3274,b3275,b3276 ,b3277,b3278,b3279,b3280,b3281,b3282,b3283,b3284,b3285,b3286,b3287 ,b3288,b3289,b3290,b3291,b3292,b3293,b3294,b3295,b3296,b3297,b3298 ,b3299,b3300,b3301,b3302,b3303,b3304,b3305,b3306,b3307,b3308,b3309 ,b3310,b3311,b3312,b3313,b3314,b3315,b3316,b3317,b3318,b3319,b3320 ,b3321,b3322,b3323,b3324,b3325,b3326,b3327,b3328,b3329,b3330,b3331 ,b3332,b3333,b3334,b3335,b3336,b3337,b3338,b3339,b3340,b3341,b3342 ,b3343,b3344,b3345,b3346,b3347,b3348,b3349,b3350,b3351,b3352,b3353 ,b3354,b3355,b3356,b3357,b3358,b3359,b3360,b3361,b3362,b3363,b3364 ,b3365,b3366,b3367,b3368,b3369,b3370,b3371,b3372,b3373,b3374,b3375 ,b3376,b3377,b3378,b3379,b3380,b3381,b3382,b3383,b3384,b3385,b3386 ,b3387,b3388,b3389,b3390,b3391,b3392,b3393,b3394,b3395,b3396,b3397 ,b3398,b3399,b3400,b3401,b3402,b3403,b3404,b3405,b3406,b3407,b3408 ,b3409,b3410,b3411,b3412,b3413,b3414,b3415,b3416,b3417,b3418,b3419 ,b3420,b3421,b3422,b3423,b3424,b3425,b3426,b3427,b3428,b3429,b3430 ,b3431,b3432,b3433,b3434,b3435,b3436,b3437,b3438,b3439,b3440,b3441 ,b3442,b3443,b3444,b3445,b3446,b3447,b3448,b3449,b3450,b3451,b3452 ,b3453,b3454,b3455,b3456,b3457,b3458,b3459,b3460,b3461,b3462,b3463 ,b3464,b3465,b3466,b3467,b3468,b3469,b3470,b3471,b3472,b3473,b3474 ,b3475,b3476,b3477,b3478,b3479,b3480,b3481,b3482,b3483,b3484,b3485 ,b3486,b3487,b3488,b3489,b3490,b3491,b3492,b3493,b3494,b3495,b3496 ,b3497,b3498,b3499,b3500,b3501,b3502,b3503,b3504,b3505,b3506,b3507 ,b3508,b3509,b3510,b3511,b3512,b3513,b3514,b3515,b3516,b3517,b3518 ,b3519,b3520,b3521,b3522,b3523,b3524,b3525,b3526,b3527,b3528,b3529 ,b3530,b3531,b3532,b3533,b3534,b3535,b3536,b3537,b3538,b3539,b3540 ,b3541,b3542,b3543,b3544,b3545,b3546,b3547,b3548,b3549,b3550,b3551 ,b3552,b3553,b3554,b3555,b3556,b3557,b3558,b3559,b3560,b3561,b3562 ,b3563,b3564,b3565,b3566,b3567,b3568,b3569,b3570,b3571,b3572,b3573 ,b3574,b3575,b3576,b3577,b3578,b3579,b3580,b3581,b3582,b3583,b3584 ,b3585,b3586,b3587,b3588,b3589,b3590,b3591,b3592,b3593,b3594,b3595 ,b3596,b3597,b3598,b3599,b3600,b3601,b3602,b3603,b3604,b3605,b3606 ,b3607,b3608,b3609,b3610,b3611,b3612,b3613,b3614,b3615,b3616,b3617 ,b3618,b3619,b3620,b3621,b3622,b3623,b3624,b3625,b3626,b3627,b3628 ,b3629,b3630,b3631,b3632,b3633,b3634,b3635,b3636,b3637,b3638,b3639 ,b3640,b3641,b3642,b3643,b3644,b3645,b3646,b3647,b3648,b3649,b3650 ,b3651,b3652,b3653,b3654,b3655,b3656,b3657,b3658,b3659,b3660,b3661 ,b3662,b3663,b3664,b3665,b3666,b3667,b3668,b3669,b3670,b3671,b3672 ,b3673,b3674,b3675,b3676,b3677,b3678,b3679,b3680,b3681,b3682,b3683 ,b3684,b3685,b3686,b3687,b3688,b3689,b3690,b3691,b3692,b3693,b3694 ,b3695,b3696,b3697,b3698,b3699,b3700,b3701,b3702,b3703,b3704,b3705 ,b3706,b3707,b3708,b3709,b3710,b3711,b3712,b3713,b3714,b3715,b3716 ,b3717,b3718,b3719,b3720,b3721,b3722,b3723,b3724,b3725,b3726,b3727 ,b3728,b3729,b3730,b3731,b3732,b3733,b3734,b3735,b3736,b3737,b3738 ,b3739,b3740,b3741,b3742,b3743,b3744,b3745,b3746,b3747,b3748,b3749 ,b3750,b3751,b3752,b3753,b3754,b3755,b3756,b3757,b3758,b3759,b3760 ,b3761,b3762,b3763,b3764,b3765,b3766,b3767,b3768,b3769,b3770,b3771 ,b3772,b3773,b3774,b3775,b3776,b3777,b3778,b3779,b3780,b3781,b3782 ,b3783,b3784,b3785,b3786,b3787,b3788,b3789,b3790,b3791,b3792,b3793 ,b3794,b3795,b3796,b3797,b3798,b3799,b3800,b3801,b3802,b3803,b3804 ,b3805,b3806,b3807,b3808,b3809,b3810,b3811,b3812,b3813,b3814,b3815 ,b3816,b3817,b3818,b3819,b3820,b3821,b3822,b3823,b3824,b3825,b3826 ,b3827,b3828,b3829,b3830,b3831,b3832,b3833,b3834,b3835,b3836,b3837 ,b3838,b3839,b3840,b3841,b3842,b3843,b3844,b3845,b3846,b3847,b3848 ,b3849,b3850,b3851,b3852,b3853,b3854,b3855,b3856,b3857,b3858,b3859 ,b3860,b3861,b3862,b3863,b3864,b3865,b3866,b3867,b3868,b3869,b3870 ,b3871,b3872,b3873,b3874,b3875,b3876,b3877,b3878,b3879,b3880,b3881 ,b3882,b3883,b3884,b3885,b3886,b3887,b3888,b3889,b3890,b3891,b3892 ,b3893,b3894,b3895,b3896,b3897,b3898,b3899,b3900,b3901,b3902,b3903 ,b3904,b3905,b3906,b3907,b3908,b3909,b3910,b3911,b3912,b3913,b3914 ,b3915,b3916,b3917,b3918,b3919,b3920,b3921,b3922,b3923,b3924,b3925 ,b3926,b3927,b3928,b3929,b3930,b3931,b3932,b3933,b3934,b3935,b3936 ,b3937,b3938,b3939,b3940,b3941,b3942,b3943,b3944,b3945,b3946,b3947 ,b3948,b3949,b3950,b3951,b3952,b3953,b3954,b3955,b3956,b3957,b3958 ,b3959,b3960,b3961,b3962,b3963,b3964,b3965,b3966,b3967,b3968,b3969 ,b3970,b3971,b3972,b3973,b3974,b3975,b3976,b3977,b3978,b3979,b3980 ,b3981,b3982,b3983,b3984,b3985,b3986,b3987,b3988,b3989,b3990,b3991 ,b3992,b3993,b3994,b3995,b3996,b3997,b3998,b3999,b4000,b4001,b4002 ,b4003,b4004,b4005,b4006,b4007,b4008,b4009,b4010,b4011,b4012,b4013 ,b4014,b4015,b4016,b4017,b4018,b4019,b4020,b4021,b4022,b4023,b4024 ,b4025,b4026,b4027,b4028,b4029,b4030,b4031,b4032,b4033,b4034,b4035 ,b4036,b4037,b4038,b4039,b4040,b4041,b4042,b4043,b4044,b4045,b4046 ,b4047,b4048,b4049,b4050,b4051,b4052,b4053,b4054,b4055,b4056,b4057 ,b4058,b4059,b4060,b4061,b4062,b4063,b4064,b4065,b4066,b4067,b4068 ,b4069,b4070,b4071,b4072,b4073,b4074,b4075,b4076,b4077,b4078,b4079 ,b4080,b4081,b4082,b4083,b4084,b4085,b4086,b4087,b4088,b4089,b4090 ,b4091,b4092,b4093,b4094,b4095,b4096,b4097,b4098,b4099,b4100,b4101 ,b4102,b4103,b4104,b4105,b4106,b4107,b4108,b4109,b4110,b4111,b4112 ,b4113,b4114,b4115,b4116,b4117,b4118,b4119,b4120,b4121,b4122,b4123 ,b4124,b4125,b4126,b4127,b4128,b4129,b4130,b4131,b4132,b4133,b4134 ,b4135,b4136,b4137,b4138,b4139,b4140,b4141,b4142,b4143,b4144,b4145 ,b4146,b4147,b4148,b4149,b4150,b4151,b4152,b4153,b4154,b4155,b4156 ,b4157,b4158,b4159,b4160,b4161,b4162,b4163,b4164,b4165,b4166,b4167 ,b4168,b4169,b4170,b4171,b4172,b4173,b4174,b4175,b4176,b4177,b4178 ,b4179,b4180,b4181,b4182,b4183,b4184,b4185,b4186,b4187,b4188,b4189 ,b4190,b4191,b4192,b4193,b4194,b4195,b4196,b4197,b4198,b4199,b4200 ,b4201,b4202,b4203,b4204,b4205,b4206,b4207,b4208,b4209,b4210,b4211 ,b4212,b4213,b4214,b4215,b4216,b4217,b4218,b4219,b4220,b4221,b4222 ,b4223,b4224,b4225,b4226,b4227,b4228,b4229,b4230,b4231,b4232,b4233 ,b4234,b4235,b4236,b4237,b4238,b4239,b4240,b4241,b4242,b4243,b4244 ,b4245,b4246,b4247,b4248,b4249,b4250,b4251,b4252,b4253,b4254,b4255 ,b4256,b4257,b4258,b4259,b4260,b4261,b4262,b4263,b4264,b4265,b4266 ,b4267,b4268,b4269,b4270,b4271,b4272,b4273,b4274,b4275,b4276,b4277 ,b4278,b4279,b4280,b4281,b4282,b4283,b4284,b4285,b4286,b4287,b4288 ,b4289,b4290,b4291,b4292,b4293,b4294,b4295,b4296,b4297,b4298,b4299 ,b4300,b4301,b4302,b4303,b4304,b4305,b4306,b4307,b4308,b4309,b4310 ,b4311,b4312,b4313,b4314,b4315,b4316,b4317,b4318,b4319,b4320,b4321 ,b4322,b4323,b4324,b4325,b4326,b4327,b4328,b4329,b4330,b4331,b4332 ,b4333,b4334,b4335,b4336,b4337,b4338,b4339,b4340,b4341,b4342,b4343 ,b4344,b4345,b4346,b4347,b4348,b4349,b4350,b4351,b4352,b4353,b4354 ,b4355,b4356,b4357,b4358,b4359,b4360,b4361,b4362,b4363,b4364,b4365 ,b4366,b4367,b4368,b4369,b4370,b4371,b4372,b4373,b4374,b4375,b4376 ,b4377,b4378,b4379,b4380,b4381,b4382,b4383,b4384,b4385,b4386,b4387 ,b4388,b4389,b4390,b4391,b4392,b4393,b4394,b4395,b4396,b4397,b4398 ,b4399,b4400,b4401,b4402,b4403,b4404,b4405,b4406,b4407,b4408,b4409 ,b4410,b4411,b4412,b4413,b4414,b4415,b4416,b4417,b4418,b4419,b4420 ,b4421,b4422,b4423,b4424,b4425,b4426,b4427,b4428,b4429,b4430,b4431 ,b4432,b4433,b4434,b4435,b4436,b4437,b4438,b4439,b4440,b4441,b4442 ,b4443,b4444,b4445,b4446,b4447,b4448,b4449,b4450,b4451; Equations e1,e2,e3,e4,e5,e6,e7,e8,e9,e10,e11,e12,e13,e14,e15,e16,e17,e18,e19 ,e20,e21,e22,e23,e24,e25,e26,e27,e28,e29,e30,e31,e32,e33,e34,e35,e36 ,e37,e38,e39,e40,e41,e42,e43,e44,e45,e46,e47,e48,e49,e50,e51,e52,e53 ,e54,e55,e56,e57,e58,e59,e60,e61,e62,e63,e64,e65,e66,e67,e68,e69,e70 ,e71,e72,e73,e74,e75,e76,e77,e78,e79,e80,e81,e82,e83,e84,e85,e86,e87 ,e88,e89,e90,e91,e92,e93,e94,e95,e96,e97,e98,e99,e100,e101,e102,e103 ,e104,e105,e106,e107,e108,e109,e110,e111,e112,e113,e114,e115,e116 ,e117,e118,e119,e120,e121,e122,e123,e124,e125,e126,e127,e128,e129 ,e130,e131,e132,e133,e134,e135,e136,e137,e138,e139,e140,e141,e142 ,e143,e144,e145,e146,e147,e148,e149,e150,e151,e152,e153,e154,e155 ,e156,e157,e158,e159,e160,e161,e162,e163,e164,e165,e166,e167,e168 ,e169,e170,e171,e172,e173,e174,e175,e176,e177,e178,e179,e180,e181 ,e182,e183,e184,e185,e186,e187,e188,e189,e190,e191,e192,e193,e194 ,e195,e196,e197,e198,e199,e200,e201,e202,e203,e204,e205,e206,e207 ,e208,e209,e210,e211,e212,e213,e214,e215,e216,e217,e218,e219,e220 ,e221,e222,e223,e224,e225,e226,e227,e228,e229,e230,e231,e232,e233 ,e234,e235,e236,e237,e238,e239,e240,e241,e242,e243,e244,e245,e246 ,e247,e248,e249,e250,e251,e252,e253,e254,e255,e256,e257,e258,e259 ,e260,e261,e262,e263,e264,e265,e266,e267,e268,e269,e270,e271,e272 ,e273,e274,e275,e276,e277,e278,e279,e280,e281,e282,e283,e284,e285 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