aug3d.gms
* NLP written by GAMS Convert at 10/06/06 11:14:38
*
* Equation counts
* Total E G L N X C
* 1001 1001 0 0 0 0 0
*
* Variable counts
* x b i s1s s2s sc si
* Total cont binary integer sos1 sos2 scont sint
* 3874 3874 0 0 0 0 0 0
* FX 0 0 0 0 0 0 0 0
*
* Nonzero counts
* Total const NL DLL
* 9220 6547 2673 0
*
* Solve m using NLP minimizing objvar;
Variables x1,x2,x3,x4,x5,x6,x7,x8,x9,x10,x11,x12,x13,x14,x15,x16,x17,x18,x19
,x20,x21,x22,x23,x24,x25,x26,x27,x28,x29,x30,x31,x32,x33,x34,x35,x36
,x37,x38,x39,x40,x41,x42,x43,x44,x45,x46,x47,x48,x49,x50,x51,x52,x53
,x54,x55,x56,x57,x58,x59,x60,x61,x62,x63,x64,x65,x66,x67,x68,x69,x70
,x71,x72,x73,x74,x75,x76,x77,x78,x79,x80,x81,x82,x83,x84,x85,x86,x87
,x88,x89,x90,x91,x92,x93,x94,x95,x96,x97,x98,x99,x100,x101,x102,x103
,x104,x105,x106,x107,x108,x109,x110,x111,x112,x113,x114,x115,x116
,x117,x118,x119,x120,x121,x122,x123,x124,x125,x126,x127,x128,x129
,x130,x131,x132,x133,x134,x135,x136,x137,x138,x139,x140,x141,x142
,x143,x144,x145,x146,x147,x148,x149,x150,x151,x152,x153,x154,x155
,x156,x157,x158,x159,x160,x161,x162,x163,x164,x165,x166,x167,x168
,x169,x170,x171,x172,x173,x174,x175,x176,x177,x178,x179,x180,x181
,x182,x183,x184,x185,x186,x187,x188,x189,x190,x191,x192,x193,x194
,x195,x196,x197,x198,x199,x200,x201,x202,x203,x204,x205,x206,x207
,x208,x209,x210,x211,x212,x213,x214,x215,x216,x217,x218,x219,x220
,x221,x222,x223,x224,x225,x226,x227,x228,x229,x230,x231,x232,x233
,x234,x235,x236,x237,x238,x239,x240,x241,x242,x243,x244,x245,x246
,x247,x248,x249,x250,x251,x252,x253,x254,x255,x256,x257,x258,x259
,x260,x261,x262,x263,x264,x265,x266,x267,x268,x269,x270,x271,x272
,x273,x274,x275,x276,x277,x278,x279,x280,x281,x282,x283,x284,x285
,x286,x287,x288,x289,x290,x291,x292,x293,x294,x295,x296,x297,x298
,x299,x300,x301,x302,x303,x304,x305,x306,x307,x308,x309,x310,x311
,x312,x313,x314,x315,x316,x317,x318,x319,x320,x321,x322,x323,x324
,x325,x326,x327,x328,x329,x330,x331,x332,x333,x334,x335,x336,x337
,x338,x339,x340,x341,x342,x343,x344,x345,x346,x347,x348,x349,x350
,x351,x352,x353,x354,x355,x356,x357,x358,x359,x360,x361,x362,x363
,x364,x365,x366,x367,x368,x369,x370,x371,x372,x373,x374,x375,x376
,x377,x378,x379,x380,x381,x382,x383,x384,x385,x386,x387,x388,x389
,x390,x391,x392,x393,x394,x395,x396,x397,x398,x399,x400,x401,x402
,x403,x404,x405,x406,x407,x408,x409,x410,x411,x412,x413,x414,x415
,x416,x417,x418,x419,x420,x421,x422,x423,x424,x425,x426,x427,x428
,x429,x430,x431,x432,x433,x434,x435,x436,x437,x438,x439,x440,x441
,x442,x443,x444,x445,x446,x447,x448,x449,x450,x451,x452,x453,x454
,x455,x456,x457,x458,x459,x460,x461,x462,x463,x464,x465,x466,x467
,x468,x469,x470,x471,x472,x473,x474,x475,x476,x477,x478,x479,x480
,x481,x482,x483,x484,x485,x486,x487,x488,x489,x490,x491,x492,x493
,x494,x495,x496,x497,x498,x499,x500,x501,x502,x503,x504,x505,x506
,x507,x508,x509,x510,x511,x512,x513,x514,x515,x516,x517,x518,x519
,x520,x521,x522,x523,x524,x525,x526,x527,x528,x529,x530,x531,x532
,x533,x534,x535,x536,x537,x538,x539,x540,x541,x542,x543,x544,x545
,x546,x547,x548,x549,x550,x551,x552,x553,x554,x555,x556,x557,x558
,x559,x560,x561,x562,x563,x564,x565,x566,x567,x568,x569,x570,x571
,x572,x573,x574,x575,x576,x577,x578,x579,x580,x581,x582,x583,x584
,x585,x586,x587,x588,x589,x590,x591,x592,x593,x594,x595,x596,x597
,x598,x599,x600,x601,x602,x603,x604,x605,x606,x607,x608,x609,x610
,x611,x612,x613,x614,x615,x616,x617,x618,x619,x620,x621,x622,x623
,x624,x625,x626,x627,x628,x629,x630,x631,x632,x633,x634,x635,x636
,x637,x638,x639,x640,x641,x642,x643,x644,x645,x646,x647,x648,x649
,x650,x651,x652,x653,x654,x655,x656,x657,x658,x659,x660,x661,x662
,x663,x664,x665,x666,x667,x668,x669,x670,x671,x672,x673,x674,x675
,x676,x677,x678,x679,x680,x681,x682,x683,x684,x685,x686,x687,x688
,x689,x690,x691,x692,x693,x694,x695,x696,x697,x698,x699,x700,x701
,x702,x703,x704,x705,x706,x707,x708,x709,x710,x711,x712,x713,x714
,x715,x716,x717,x718,x719,x720,x721,x722,x723,x724,x725,x726,x727
,x728,x729,x730,x731,x732,x733,x734,x735,x736,x737,x738,x739,x740
,x741,x742,x743,x744,x745,x746,x747,x748,x749,x750,x751,x752,x753
,x754,x755,x756,x757,x758,x759,x760,x761,x762,x763,x764,x765,x766
,x767,x768,x769,x770,x771,x772,x773,x774,x775,x776,x777,x778,x779
,x780,x781,x782,x783,x784,x785,x786,x787,x788,x789,x790,x791,x792
,x793,x794,x795,x796,x797,x798,x799,x800,x801,x802,x803,x804,x805
,x806,x807,x808,x809,x810,x811,x812,x813,x814,x815,x816,x817,x818
,x819,x820,x821,x822,x823,x824,x825,x826,x827,x828,x829,x830,x831
,x832,x833,x834,x835,x836,x837,x838,x839,x840,x841,x842,x843,x844
,x845,x846,x847,x848,x849,x850,x851,x852,x853,x854,x855,x856,x857
,x858,x859,x860,x861,x862,x863,x864,x865,x866,x867,x868,x869,x870
,x871,x872,x873,x874,x875,x876,x877,x878,x879,x880,x881,x882,x883
,x884,x885,x886,x887,x888,x889,x890,x891,x892,x893,x894,x895,x896
,x897,x898,x899,x900,x901,x902,x903,x904,x905,x906,x907,x908,x909
,x910,x911,x912,x913,x914,x915,x916,x917,x918,x919,x920,x921,x922
,x923,x924,x925,x926,x927,x928,x929,x930,x931,x932,x933,x934,x935
,x936,x937,x938,x939,x940,x941,x942,x943,x944,x945,x946,x947,x948
,x949,x950,x951,x952,x953,x954,x955,x956,x957,x958,x959,x960,x961
,x962,x963,x964,x965,x966,x967,x968,x969,x970,x971,x972,x973,x974
,x975,x976,x977,x978,x979,x980,x981,x982,x983,x984,x985,x986,x987
,x988,x989,x990,x991,x992,x993,x994,x995,x996,x997,x998,x999,x1000
,x1001,x1002,x1003,x1004,x1005,x1006,x1007,x1008,x1009,x1010,x1011
,x1012,x1013,x1014,x1015,x1016,x1017,x1018,x1019,x1020,x1021,x1022
,x1023,x1024,x1025,x1026,x1027,x1028,x1029,x1030,x1031,x1032,x1033
,x1034,x1035,x1036,x1037,x1038,x1039,x1040,x1041,x1042,x1043,x1044
,x1045,x1046,x1047,x1048,x1049,x1050,x1051,x1052,x1053,x1054,x1055
,x1056,x1057,x1058,x1059,x1060,x1061,x1062,x1063,x1064,x1065,x1066
,x1067,x1068,x1069,x1070,x1071,x1072,x1073,x1074,x1075,x1076,x1077
,x1078,x1079,x1080,x1081,x1082,x1083,x1084,x1085,x1086,x1087,x1088
,x1089,x1090,x1091,x1092,x1093,x1094,x1095,x1096,x1097,x1098,x1099
,x1100,x1101,x1102,x1103,x1104,x1105,x1106,x1107,x1108,x1109,x1110
,x1111,x1112,x1113,x1114,x1115,x1116,x1117,x1118,x1119,x1120,x1121
,x1122,x1123,x1124,x1125,x1126,x1127,x1128,x1129,x1130,x1131,x1132
,x1133,x1134,x1135,x1136,x1137,x1138,x1139,x1140,x1141,x1142,x1143
,x1144,x1145,x1146,x1147,x1148,x1149,x1150,x1151,x1152,x1153,x1154
,x1155,x1156,x1157,x1158,x1159,x1160,x1161,x1162,x1163,x1164,x1165
,x1166,x1167,x1168,x1169,x1170,x1171,x1172,x1173,x1174,x1175,x1176
,x1177,x1178,x1179,x1180,x1181,x1182,x1183,x1184,x1185,x1186,x1187
,x1188,x1189,x1190,x1191,x1192,x1193,x1194,x1195,x1196,x1197,x1198
,x1199,x1200,x1201,x1202,x1203,x1204,x1205,x1206,x1207,x1208,x1209
,x1210,x1211,x1212,x1213,x1214,x1215,x1216,x1217,x1218,x1219,x1220
,x1221,x1222,x1223,x1224,x1225,x1226,x1227,x1228,x1229,x1230,x1231
,x1232,x1233,x1234,x1235,x1236,x1237,x1238,x1239,x1240,x1241,x1242
,x1243,x1244,x1245,x1246,x1247,x1248,x1249,x1250,x1251,x1252,x1253
,x1254,x1255,x1256,x1257,x1258,x1259,x1260,x1261,x1262,x1263,x1264
,x1265,x1266,x1267,x1268,x1269,x1270,x1271,x1272,x1273,x1274,x1275
,x1276,x1277,x1278,x1279,x1280,x1281,x1282,x1283,x1284,x1285,x1286
,x1287,x1288,x1289,x1290,x1291,x1292,x1293,x1294,x1295,x1296,x1297
,x1298,x1299,x1300,x1301,x1302,x1303,x1304,x1305,x1306,x1307,x1308
,x1309,x1310,x1311,x1312,x1313,x1314,x1315,x1316,x1317,x1318,x1319
,x1320,x1321,x1322,x1323,x1324,x1325,x1326,x1327,x1328,x1329,x1330
,x1331,x1332,x1333,x1334,x1335,x1336,x1337,x1338,x1339,x1340,x1341
,x1342,x1343,x1344,x1345,x1346,x1347,x1348,x1349,x1350,x1351,x1352
,x1353,x1354,x1355,x1356,x1357,x1358,x1359,x1360,x1361,x1362,x1363
,x1364,x1365,x1366,x1367,x1368,x1369,x1370,x1371,x1372,x1373,x1374
,x1375,x1376,x1377,x1378,x1379,x1380,x1381,x1382,x1383,x1384,x1385
,x1386,x1387,x1388,x1389,x1390,x1391,x1392,x1393,x1394,x1395,x1396
,x1397,x1398,x1399,x1400,x1401,x1402,x1403,x1404,x1405,x1406,x1407
,x1408,x1409,x1410,x1411,x1412,x1413,x1414,x1415,x1416,x1417,x1418
,x1419,x1420,x1421,x1422,x1423,x1424,x1425,x1426,x1427,x1428,x1429
,x1430,x1431,x1432,x1433,x1434,x1435,x1436,x1437,x1438,x1439,x1440
,x1441,x1442,x1443,x1444,x1445,x1446,x1447,x1448,x1449,x1450,x1451
,x1452,x1453,x1454,x1455,x1456,x1457,x1458,x1459,x1460,x1461,x1462
,x1463,x1464,x1465,x1466,x1467,x1468,x1469,x1470,x1471,x1472,x1473
,x1474,x1475,x1476,x1477,x1478,x1479,x1480,x1481,x1482,x1483,x1484
,x1485,x1486,x1487,x1488,x1489,x1490,x1491,x1492,x1493,x1494,x1495
,x1496,x1497,x1498,x1499,x1500,x1501,x1502,x1503,x1504,x1505,x1506
,x1507,x1508,x1509,x1510,x1511,x1512,x1513,x1514,x1515,x1516,x1517
,x1518,x1519,x1520,x1521,x1522,x1523,x1524,x1525,x1526,x1527,x1528
,x1529,x1530,x1531,x1532,x1533,x1534,x1535,x1536,x1537,x1538,x1539
,x1540,x1541,x1542,x1543,x1544,x1545,x1546,x1547,x1548,x1549,x1550
,x1551,x1552,x1553,x1554,x1555,x1556,x1557,x1558,x1559,x1560,x1561
,x1562,x1563,x1564,x1565,x1566,x1567,x1568,x1569,x1570,x1571,x1572
,x1573,x1574,x1575,x1576,x1577,x1578,x1579,x1580,x1581,x1582,x1583
,x1584,x1585,x1586,x1587,x1588,x1589,x1590,x1591,x1592,x1593,x1594
,x1595,x1596,x1597,x1598,x1599,x1600,x1601,x1602,x1603,x1604,x1605
,x1606,x1607,x1608,x1609,x1610,x1611,x1612,x1613,x1614,x1615,x1616
,x1617,x1618,x1619,x1620,x1621,x1622,x1623,x1624,x1625,x1626,x1627
,x1628,x1629,x1630,x1631,x1632,x1633,x1634,x1635,x1636,x1637,x1638
,x1639,x1640,x1641,x1642,x1643,x1644,x1645,x1646,x1647,x1648,x1649
,x1650,x1651,x1652,x1653,x1654,x1655,x1656,x1657,x1658,x1659,x1660
,x1661,x1662,x1663,x1664,x1665,x1666,x1667,x1668,x1669,x1670,x1671
,x1672,x1673,x1674,x1675,x1676,x1677,x1678,x1679,x1680,x1681,x1682
,x1683,x1684,x1685,x1686,x1687,x1688,x1689,x1690,x1691,x1692,x1693
,x1694,x1695,x1696,x1697,x1698,x1699,x1700,x1701,x1702,x1703,x1704
,x1705,x1706,x1707,x1708,x1709,x1710,x1711,x1712,x1713,x1714,x1715
,x1716,x1717,x1718,x1719,x1720,x1721,x1722,x1723,x1724,x1725,x1726
,x1727,x1728,x1729,x1730,x1731,x1732,x1733,x1734,x1735,x1736,x1737
,x1738,x1739,x1740,x1741,x1742,x1743,x1744,x1745,x1746,x1747,x1748
,x1749,x1750,x1751,x1752,x1753,x1754,x1755,x1756,x1757,x1758,x1759
,x1760,x1761,x1762,x1763,x1764,x1765,x1766,x1767,x1768,x1769,x1770
,x1771,x1772,x1773,x1774,x1775,x1776,x1777,x1778,x1779,x1780,x1781
,x1782,x1783,x1784,x1785,x1786,x1787,x1788,x1789,x1790,x1791,x1792
,x1793,x1794,x1795,x1796,x1797,x1798,x1799,x1800,x1801,x1802,x1803
,x1804,x1805,x1806,x1807,x1808,x1809,x1810,x1811,x1812,x1813,x1814
,x1815,x1816,x1817,x1818,x1819,x1820,x1821,x1822,x1823,x1824,x1825
,x1826,x1827,x1828,x1829,x1830,x1831,x1832,x1833,x1834,x1835,x1836
,x1837,x1838,x1839,x1840,x1841,x1842,x1843,x1844,x1845,x1846,x1847
,x1848,x1849,x1850,x1851,x1852,x1853,x1854,x1855,x1856,x1857,x1858
,x1859,x1860,x1861,x1862,x1863,x1864,x1865,x1866,x1867,x1868,x1869
,x1870,x1871,x1872,x1873,x1874,x1875,x1876,x1877,x1878,x1879,x1880
,x1881,x1882,x1883,x1884,x1885,x1886,x1887,x1888,x1889,x1890,x1891
,x1892,x1893,x1894,x1895,x1896,x1897,x1898,x1899,x1900,x1901,x1902
,x1903,x1904,x1905,x1906,x1907,x1908,x1909,x1910,x1911,x1912,x1913
,x1914,x1915,x1916,x1917,x1918,x1919,x1920,x1921,x1922,x1923,x1924
,x1925,x1926,x1927,x1928,x1929,x1930,x1931,x1932,x1933,x1934,x1935
,x1936,x1937,x1938,x1939,x1940,x1941,x1942,x1943,x1944,x1945,x1946
,x1947,x1948,x1949,x1950,x1951,x1952,x1953,x1954,x1955,x1956,x1957
,x1958,x1959,x1960,x1961,x1962,x1963,x1964,x1965,x1966,x1967,x1968
,x1969,x1970,x1971,x1972,x1973,x1974,x1975,x1976,x1977,x1978,x1979
,x1980,x1981,x1982,x1983,x1984,x1985,x1986,x1987,x1988,x1989,x1990
,x1991,x1992,x1993,x1994,x1995,x1996,x1997,x1998,x1999,x2000,x2001
,x2002,x2003,x2004,x2005,x2006,x2007,x2008,x2009,x2010,x2011,x2012
,x2013,x2014,x2015,x2016,x2017,x2018,x2019,x2020,x2021,x2022,x2023
,x2024,x2025,x2026,x2027,x2028,x2029,x2030,x2031,x2032,x2033,x2034
,x2035,x2036,x2037,x2038,x2039,x2040,x2041,x2042,x2043,x2044,x2045
,x2046,x2047,x2048,x2049,x2050,x2051,x2052,x2053,x2054,x2055,x2056
,x2057,x2058,x2059,x2060,x2061,x2062,x2063,x2064,x2065,x2066,x2067
,x2068,x2069,x2070,x2071,x2072,x2073,x2074,x2075,x2076,x2077,x2078
,x2079,x2080,x2081,x2082,x2083,x2084,x2085,x2086,x2087,x2088,x2089
,x2090,x2091,x2092,x2093,x2094,x2095,x2096,x2097,x2098,x2099,x2100
,x2101,x2102,x2103,x2104,x2105,x2106,x2107,x2108,x2109,x2110,x2111
,x2112,x2113,x2114,x2115,x2116,x2117,x2118,x2119,x2120,x2121,x2122
,x2123,x2124,x2125,x2126,x2127,x2128,x2129,x2130,x2131,x2132,x2133
,x2134,x2135,x2136,x2137,x2138,x2139,x2140,x2141,x2142,x2143,x2144
,x2145,x2146,x2147,x2148,x2149,x2150,x2151,x2152,x2153,x2154,x2155
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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
,e286,e287,e288,e289,e290,e291,e292,e293,e294,e295,e296,e297,e298
,e299,e300,e301,e302,e303,e304,e305,e306,e307,e308,e309,e310,e311
,e312,e313,e314,e315,e316,e317,e318,e319,e320,e321,e322,e323,e324
,e325,e326,e327,e328,e329,e330,e331,e332,e333,e334,e335,e336,e337
,e338,e339,e340,e341,e342,e343,e344,e345,e346,e347,e348,e349,e350
,e351,e352,e353,e354,e355,e356,e357,e358,e359,e360,e361,e362,e363
,e364,e365,e366,e367,e368,e369,e370,e371,e372,e373,e374,e375,e376
,e377,e378,e379,e380,e381,e382,e383,e384,e385,e386,e387,e388,e389
,e390,e391,e392,e393,e394,e395,e396,e397,e398,e399,e400,e401,e402
,e403,e404,e405,e406,e407,e408,e409,e410,e411,e412,e413,e414,e415
,e416,e417,e418,e419,e420,e421,e422,e423,e424,e425,e426,e427,e428
,e429,e430,e431,e432,e433,e434,e435,e436,e437,e438,e439,e440,e441
,e442,e443,e444,e445,e446,e447,e448,e449,e450,e451,e452,e453,e454
,e455,e456,e457,e458,e459,e460,e461,e462,e463,e464,e465,e466,e467
,e468,e469,e470,e471,e472,e473,e474,e475,e476,e477,e478,e479,e480
,e481,e482,e483,e484,e485,e486,e487,e488,e489,e490,e491,e492,e493
,e494,e495,e496,e497,e498,e499,e500,e501,e502,e503,e504,e505,e506
,e507,e508,e509,e510,e511,e512,e513,e514,e515,e516,e517,e518,e519
,e520,e521,e522,e523,e524,e525,e526,e527,e528,e529,e530,e531,e532
,e533,e534,e535,e536,e537,e538,e539,e540,e541,e542,e543,e544,e545
,e546,e547,e548,e549,e550,e551,e552,e553,e554,e555,e556,e557,e558
,e559,e560,e561,e562,e563,e564,e565,e566,e567,e568,e569,e570,e571
,e572,e573,e574,e575,e576,e577,e578,e579,e580,e581,e582,e583,e584
,e585,e586,e587,e588,e589,e590,e591,e592,e593,e594,e595,e596,e597
,e598,e599,e600,e601,e602,e603,e604,e605,e606,e607,e608,e609,e610
,e611,e612,e613,e614,e615,e616,e617,e618,e619,e620,e621,e622,e623
,e624,e625,e626,e627,e628,e629,e630,e631,e632,e633,e634,e635,e636
,e637,e638,e639,e640,e641,e642,e643,e644,e645,e646,e647,e648,e649
,e650,e651,e652,e653,e654,e655,e656,e657,e658,e659,e660,e661,e662
,e663,e664,e665,e666,e667,e668,e669,e670,e671,e672,e673,e674,e675
,e676,e677,e678,e679,e680,e681,e682,e683,e684,e685,e686,e687,e688
,e689,e690,e691,e692,e693,e694,e695,e696,e697,e698,e699,e700,e701
,e702,e703,e704,e705,e706,e707,e708,e709,e710,e711,e712,e713,e714
,e715,e716,e717,e718,e719,e720,e721,e722,e723,e724,e725,e726,e727
,e728,e729,e730,e731,e732,e733,e734,e735,e736,e737,e738,e739,e740
,e741,e742,e743,e744,e745,e746,e747,e748,e749,e750,e751,e752,e753
,e754,e755,e756,e757,e758,e759,e760,e761,e762,e763,e764,e765,e766
,e767,e768,e769,e770,e771,e772,e773,e774,e775,e776,e777,e778,e779
,e780,e781,e782,e783,e784,e785,e786,e787,e788,e789,e790,e791,e792
,e793,e794,e795,e796,e797,e798,e799,e800,e801,e802,e803,e804,e805
,e806,e807,e808,e809,e810,e811,e812,e813,e814,e815,e816,e817,e818
,e819,e820,e821,e822,e823,e824,e825,e826,e827,e828,e829,e830,e831
,e832,e833,e834,e835,e836,e837,e838,e839,e840,e841,e842,e843,e844
,e845,e846,e847,e848,e849,e850,e851,e852,e853,e854,e855,e856,e857
,e858,e859,e860,e861,e862,e863,e864,e865,e866,e867,e868,e869,e870
,e871,e872,e873,e874,e875,e876,e877,e878,e879,e880,e881,e882,e883
,e884,e885,e886,e887,e888,e889,e890,e891,e892,e893,e894,e895,e896
,e897,e898,e899,e900,e901,e902,e903,e904,e905,e906,e907,e908,e909
,e910,e911,e912,e913,e914,e915,e916,e917,e918,e919,e920,e921,e922
,e923,e924,e925,e926,e927,e928,e929,e930,e931,e932,e933,e934,e935
,e936,e937,e938,e939,e940,e941,e942,e943,e944,e945,e946,e947,e948
,e949,e950,e951,e952,e953,e954,e955,e956,e957,e958,e959,e960,e961
,e962,e963,e964,e965,e966,e967,e968,e969,e970,e971,e972,e973,e974
,e975,e976,e977,e978,e979,e980,e981,e982,e983,e984,e985,e986,e987
,e988,e989,e990,e991,e992,e993,e994,e995,e996,e997,e998,e999,e1000
,e1001;
e1.. x1 + x2 + x3 + x2674 + x2675 + x3077 + x3078 + x3474 + x3475 =E= 1;
e2.. - x1 + x4 + x5 + x6 + x3081 + x3082 + x3478 + x3479 =E= 1;
e3.. - x4 + x7 + x8 + x9 + x3085 + x3086 + x3482 + x3483 =E= 1;
e4.. - x7 + x10 + x11 + x12 + x3089 + x3090 + x3486 + x3487 =E= 1;
e5.. - x10 + x13 + x14 + x15 + x3093 + x3094 + x3490 + x3491 =E= 1;
e6.. - x13 + x16 + x17 + x18 + x3097 + x3098 + x3494 + x3495 =E= 1;
e7.. - x16 + x19 + x20 + x21 + x3101 + x3102 + x3498 + x3499 =E= 1;
e8.. - x19 + x22 + x23 + x24 + x3105 + x3106 + x3502 + x3503 =E= 1;
e9.. - x22 + x25 + x26 + x27 + x3109 + x3110 + x3506 + x3507 =E= 1;
e10.. - x25 + x2188 + x2189 + x2676 + x2677 + x3113 + x3114 + x3510 + x3511
=E= 1;
e11.. - x2 + x28 + x29 + x30 + x2678 + x2679 + x3514 + x3515 =E= 1;
e12.. - x5 - x28 + x31 + x32 + x33 + x3518 + x3519 =E= 1;
e13.. - x8 - x31 + x34 + x35 + x36 + x3523 + x3524 =E= 1;
e14.. - x11 - x34 + x37 + x38 + x39 + x3527 + x3528 =E= 1;
e15.. - x14 - x37 + x40 + x41 + x42 + x3531 + x3532 =E= 1;
e16.. - x17 - x40 + x43 + x44 + x45 + x3535 + x3536 =E= 1;
e17.. - x20 - x43 + x46 + x47 + x48 + x3539 + x3540 =E= 1;
e18.. - x23 - x46 + x49 + x50 + x51 + x3542 + x3544 =E= 1;
e19.. - x26 - x49 + x52 + x53 + x54 + x3547 + x3548 =E= 1;
e20.. - x52 - x2188 + x2190 + x2191 + x2680 + x2681 + x3551 + x3552 =E= 1;
e21.. - x29 + x55 + x56 + x57 + x2682 + x2683 + x3555 + x3556 =E= 1;
e22.. - x32 - x55 + x58 + x59 + x60 + x3559 + x3560 =E= 1;
e23.. - x35 - x58 + x61 + x62 + x63 + x3563 + x3564 =E= 1;
e24.. - x38 - x61 + x64 + x65 + x66 + x3567 + x3568 =E= 1;
e25.. - x41 - x64 + x67 + x68 + x69 + x3571 + x3572 =E= 1;
e26.. - x44 - x67 + x70 + x71 + x72 + x3575 + x3576 =E= 1;
e27.. - x47 - x70 + x73 + x74 + x75 + x3579 + x3580 =E= 1;
e28.. - x50 - x73 + x76 + x77 + x78 + x3583 + x3584 =E= 1;
e29.. - x53 - x76 + x79 + x80 + x81 + x3587 + x3588 =E= 1;
e30.. - x79 - x2190 + x2192 + x2193 + x2684 + x2685 + x3591 + x3592 =E= 1;
e31.. - x56 + x82 + x83 + x84 + x2686 + x2687 + x3595 + x3596 =E= 1;
e32.. - x59 - x82 + x85 + x86 + x87 + x3599 + x3600 =E= 1;
e33.. - x62 - x85 + x88 + x89 + x90 + x3603 + x3604 =E= 1;
e34.. - x65 - x88 + x91 + x92 + x93 + x3607 + x3608 =E= 1;
e35.. - x68 - x91 + x94 + x95 + x96 + x3611 + x3612 =E= 1;
e36.. - x71 - x94 + x97 + x98 + x99 + x3615 + x3616 =E= 1;
e37.. - x74 - x97 + x100 + x101 + x102 + x3619 + x3620 =E= 1;
e38.. - x77 - x100 + x103 + x104 + x105 + x3623 + x3624 =E= 1;
e39.. - x80 - x103 + x106 + x107 + x108 + x3627 + x3628 =E= 1;
e40.. - x106 - x2192 + x2194 + x2195 + x2688 + x2689 + x3631 + x3632 =E= 1;
e41.. - x83 + x109 + x110 + x111 + x2690 + x2691 + x3635 + x3636 =E= 1;
e42.. - x86 - x109 + x112 + x113 + x114 + x3639 + x3640 =E= 1;
e43.. - x89 - x112 + x115 + x116 + x117 + x3643 + x3644 =E= 1;
e44.. - x92 - x115 + x118 + x119 + x120 + x3647 + x3648 =E= 1;
e45.. - x95 - x118 + x121 + x122 + x123 + x3651 + x3652 =E= 1;
e46.. - x98 - x121 + x124 + x125 + x126 + x3654 + x3655 =E= 1;
e47.. - x101 - x124 + x127 + x128 + x129 + x3658 + x3659 =E= 1;
e48.. - x104 - x127 + x130 + x131 + x132 + x3662 + x3663 =E= 1;
e49.. - x107 - x130 + x133 + x134 + x135 + x3666 + x3667 =E= 1;
e50.. - x133 - x2194 + x2196 + x2197 + x2692 + x2693 + x3670 + x3671 =E= 1;
e51.. - x110 + x136 + x137 + x138 + x2694 + x2695 + x3674 + x3675 =E= 1;
e52.. - x113 - x136 + x139 + x140 + x141 + x3678 + x3679 =E= 1;
e53.. - x116 - x139 + x142 + x143 + x144 + x3682 + x3683 =E= 1;
e54.. - x119 - x142 + x145 + x146 + x147 + x3686 + x3687 =E= 1;
e55.. - x122 - x145 + x148 + x149 + x150 + x3690 + x3691 =E= 1;
e56.. - x125 - x148 + x151 + x152 + x153 + x3694 + x3695 =E= 1;
e57.. - x128 - x151 + x154 + x155 + x156 + x3698 + x3699 =E= 1;
e58.. - x131 - x154 + x157 + x158 + x159 + x3702 + x3703 =E= 1;
e59.. - x134 - x157 + x160 + x161 + x162 + x3706 + x3707 =E= 1;
e60.. - x160 - x2196 + x2198 + x2199 + x2696 + x2697 + x3710 + x3711 =E= 1;
e61.. - x137 + x163 + x164 + x165 + x2698 + x2699 + x3714 + x3715 =E= 1;
e62.. - x140 - x163 + x166 + x167 + x168 + x3718 + x3719 =E= 1;
e63.. - x143 - x166 + x169 + x170 + x171 + x3722 + x3723 =E= 1;
e64.. - x146 - x169 + x172 + x173 + x174 + x3726 + x3727 =E= 1;
e65.. - x149 - x172 + x175 + x176 + x177 + x3730 + x3731 =E= 1;
e66.. - x152 - x175 + x178 + x179 + x180 + x3734 + x3735 =E= 1;
e67.. - x155 - x178 + x181 + x182 + x183 + x3738 + x3739 =E= 1;
e68.. - x158 - x181 + x184 + x185 + x186 + x3742 + x3743 =E= 1;
e69.. - x161 - x184 + x187 + x188 + x189 + x3746 + x3747 =E= 1;
e70.. - x187 - x2198 + x2200 + x2201 + x2700 + x2701 + x3750 + x3751 =E= 1;
e71.. - x164 + x190 + x191 + x192 + x2702 + x2703 + x3754 + x3755 =E= 1;
e72.. - x167 - x190 + x193 + x194 + x195 + x3758 + x3759 =E= 1;
e73.. - x170 - x193 + x196 + x197 + x198 + x3762 + x3763 =E= 1;
e74.. - x173 - x196 + x199 + x200 + x201 + x3766 + x3767 =E= 1;
e75.. - x176 - x199 + x202 + x203 + x204 + x3770 + x3771 =E= 1;
e76.. - x179 - x202 + x205 + x206 + x207 + x3774 + x3775 =E= 1;
e77.. - x182 - x205 + x208 + x209 + x210 + x3778 + x3779 =E= 1;
e78.. - x185 - x208 + x211 + x212 + x213 + x3782 + x3783 =E= 1;
e79.. - x188 - x211 + x214 + x215 + x216 + x3786 + x3787 =E= 1;
e80.. - x214 - x2200 + x2202 + x2203 + x2704 + x2705 + x3790 + x3791 =E= 1;
e81.. - x191 + x217 + x218 + x219 + x2706 + x2707 + x3794 + x3795 =E= 1;
e82.. - x194 - x217 + x220 + x221 + x222 + x3798 + x3799 =E= 1;
e83.. - x197 - x220 + x223 + x224 + x225 + x3802 + x3870 =E= 1;
e84.. - x200 - x223 + x226 + x227 + x228 + x3805 + x3806 =E= 1;
e85.. - x203 - x226 + x229 + x230 + x231 + x3809 + x3871 =E= 1;
e86.. - x206 - x229 + x232 + x233 + x234 + x3812 + x3813 =E= 1;
e87.. - x209 - x232 + x235 + x236 + x237 + x3816 + x3872 =E= 1;
e88.. - x212 - x235 + x238 + x239 + x240 + x3819 + x3820 =E= 1;
e89.. - x215 - x238 + x241 + x242 + x243 + x3823 + x3873 =E= 1;
e90.. - x241 - x2202 + x2204 + x2205 + x2708 + x2709 + x3826 + x3827 =E= 1;
e91.. - x218 + x2350 + x2351 + x2710 + x2711 + x3079 + x3080 + x3830 + x3831
=E= 1;
e92.. - x221 - x2350 + x2352 + x2353 + x3083 + x3084 + x3834 + x3835 =E= 1;
e93.. - x224 - x2352 + x2354 + x2355 + x3087 + x3088 + x3838 + x3839 =E= 1;
e94.. - x227 - x2354 + x2356 + x2357 + x3091 + x3092 + x3842 + x3843 =E= 1;
e95.. - x230 - x2356 + x2358 + x2359 + x3095 + x3096 + x3846 + x3847 =E= 1;
e96.. - x233 - x2358 + x2360 + x2361 + x3099 + x3100 + x3850 + x3851 =E= 1;
e97.. - x236 - x2360 + x2362 + x2363 + x3103 + x3104 + x3854 + x3855 =E= 1;
e98.. - x239 - x2362 + x2364 + x2365 + x3107 + x3108 + x3858 + x3859 =E= 1;
e99.. - x242 - x2364 + x2366 + x2367 + x3111 + x3112 + x3862 + x3863 =E= 1;
e100.. - x2204 - x2366 + x2712 + x2713 + x3115 + x3116 + x3866 + x3867 =E= 1;
e101.. - x3 + x244 + x245 + x246 + x2714 + x2715 + x3117 + x3118 =E= 1;
e102.. - x6 - x244 + x247 + x248 + x249 + x3121 + x3122 =E= 1;
e103.. - x9 - x247 + x250 + x251 + x252 + x3125 + x3126 =E= 1;
e104.. - x12 - x250 + x253 + x254 + x255 + x3129 + x3130 =E= 1;
e105.. - x15 - x253 + x256 + x257 + x258 + x3133 + x3134 =E= 1;
e106.. - x18 - x256 + x259 + x260 + x261 + x3137 + x3138 =E= 1;
e107.. - x21 - x259 + x262 + x263 + x264 + x3141 + x3142 =E= 1;
e108.. - x24 - x262 + x265 + x266 + x267 + x3145 + x3146 =E= 1;
e109.. - x27 - x265 + x268 + x269 + x270 + x3149 + x3150 =E= 1;
e110.. - x268 - x2189 + x2206 + x2207 + x2716 + x2717 + x3153 + x3154 =E= 1;
e111.. - x30 - x245 + x271 + x272 + x273 + x2718 + x2719 =E= 1;
e112.. - x33 - x248 - x271 + x274 + x275 + x276 =E= 1;
e113.. - x36 - x251 - x274 + x277 + x278 + x279 =E= 1;
e114.. - x39 - x254 - x277 + x280 + x281 + x282 =E= 1;
e115.. - x42 - x257 - x280 + x283 + x284 + x285 =E= 1;
e116.. - x45 - x260 - x283 + x286 + x287 + x288 =E= 1;
e117.. - x48 - x263 - x286 + x289 + x290 + x291 =E= 1;
e118.. - x51 - x266 - x289 + x292 + x293 + x294 =E= 1;
e119.. - x54 - x269 - x292 + x295 + x296 + x297 =E= 1;
e120.. - x295 - x2191 - x2206 + x2208 + x2209 + x2720 + x2721 =E= 1;
e121.. - x57 - x272 + x298 + x299 + x300 + x2722 + x2723 =E= 1;
e122.. - x60 - x275 - x298 + x301 + x302 + x303 =E= 1;
e123.. - x63 - x278 - x301 + x304 + x305 + x306 =E= 1;
e124.. - x66 - x281 - x304 + x307 + x308 + x309 =E= 1;
e125.. - x69 - x284 - x307 + x310 + x311 + x312 =E= 1;
e126.. - x72 - x287 - x310 + x313 + x314 + x315 =E= 1;
e127.. - x75 - x290 - x313 + x316 + x317 + x318 =E= 1;
e128.. - x78 - x293 - x316 + x319 + x320 + x321 =E= 1;
e129.. - x81 - x296 - x319 + x322 + x323 + x324 =E= 1;
e130.. - x322 - x2193 - x2208 + x2210 + x2211 + x2724 + x2725 =E= 1;
e131.. - x84 - x299 + x325 + x326 + x327 + x2726 + x2727 =E= 1;
e132.. - x87 - x302 - x325 + x328 + x329 + x330 =E= 1;
e133.. - x90 - x305 - x328 + x331 + x332 + x333 =E= 1;
e134.. - x93 - x308 - x331 + x334 + x335 + x336 =E= 1;
e135.. - x96 - x311 - x334 + x337 + x338 + x339 =E= 1;
e136.. - x99 - x314 - x337 + x340 + x341 + x342 =E= 1;
e137.. - x102 - x317 - x340 + x343 + x344 + x345 =E= 1;
e138.. - x105 - x320 - x343 + x346 + x347 + x348 =E= 1;
e139.. - x108 - x323 - x346 + x349 + x350 + x351 =E= 1;
e140.. - x349 - x2195 - x2210 + x2212 + x2213 + x2728 + x2729 =E= 1;
e141.. - x111 - x326 + x352 + x353 + x354 + x2730 + x2731 =E= 1;
e142.. - x114 - x329 - x352 + x355 + x356 + x357 =E= 1;
e143.. - x117 - x332 - x355 + x358 + x359 + x360 =E= 1;
e144.. - x120 - x335 - x358 + x361 + x362 + x363 =E= 1;
e145.. - x123 - x338 - x361 + x364 + x365 + x366 =E= 1;
e146.. - x126 - x341 - x364 + x367 + x368 + x369 =E= 1;
e147.. - x129 - x344 - x367 + x370 + x371 + x372 =E= 1;
e148.. - x132 - x347 - x370 + x373 + x374 + x375 =E= 1;
e149.. - x135 - x350 - x373 + x376 + x377 + x378 =E= 1;
e150.. - x376 - x2197 - x2212 + x2214 + x2215 + x2732 + x2733 =E= 1;
e151.. - x138 - x353 + x379 + x380 + x381 + x2734 + x2735 =E= 1;
e152.. - x141 - x356 - x379 + x382 + x383 + x384 =E= 1;
e153.. - x144 - x359 - x382 + x385 + x386 + x387 =E= 1;
e154.. - x147 - x362 - x385 + x388 + x389 + x390 =E= 1;
e155.. - x150 - x365 - x388 + x391 + x392 + x393 =E= 1;
e156.. - x153 - x368 - x391 + x394 + x395 + x396 =E= 1;
e157.. - x156 - x371 - x394 + x397 + x398 + x399 =E= 1;
e158.. - x159 - x374 - x397 + x400 + x401 + x402 =E= 1;
e159.. - x162 - x377 - x400 + x403 + x404 + x405 =E= 1;
e160.. - x403 - x2199 - x2214 + x2216 + x2217 + x2736 + x2737 =E= 1;
e161.. - x165 - x380 + x406 + x407 + x408 + x2738 + x2739 =E= 1;
e162.. - x168 - x383 - x406 + x409 + x410 + x411 =E= 1;
e163.. - x171 - x386 - x409 + x412 + x413 + x414 =E= 1;
e164.. - x174 - x389 - x412 + x415 + x416 + x417 =E= 1;
e165.. - x177 - x392 - x415 + x418 + x419 + x420 =E= 1;
e166.. - x180 - x395 - x418 + x421 + x422 + x423 =E= 1;
e167.. - x183 - x398 - x421 + x424 + x425 + x426 =E= 1;
e168.. - x186 - x401 - x424 + x427 + x428 + x429 =E= 1;
e169.. - x189 - x404 - x427 + x430 + x431 + x432 =E= 1;
e170.. - x430 - x2201 - x2216 + x2218 + x2219 + x2740 + x2741 =E= 1;
e171.. - x192 - x407 + x433 + x434 + x435 + x2742 + x2743 =E= 1;
e172.. - x195 - x410 - x433 + x436 + x437 + x438 =E= 1;
e173.. - x198 - x413 - x436 + x439 + x440 + x441 =E= 1;
e174.. - x201 - x416 - x439 + x442 + x443 + x444 =E= 1;
e175.. - x204 - x419 - x442 + x445 + x446 + x447 =E= 1;
e176.. - x207 - x422 - x445 + x448 + x449 + x450 =E= 1;
e177.. - x210 - x425 - x448 + x451 + x452 + x453 =E= 1;
e178.. - x213 - x428 - x451 + x454 + x455 + x456 =E= 1;
e179.. - x216 - x431 - x454 + x457 + x458 + x459 =E= 1;
e180.. - x457 - x2203 - x2218 + x2220 + x2221 + x2744 + x2745 =E= 1;
e181.. - x219 - x434 + x460 + x461 + x462 + x2746 + x2747 =E= 1;
e182.. - x222 - x437 - x460 + x463 + x464 + x465 =E= 1;
e183.. - x225 - x440 - x463 + x466 + x467 + x468 =E= 1;
e184.. - x228 - x443 - x466 + x469 + x470 + x471 =E= 1;
e185.. - x231 - x446 - x469 + x472 + x473 + x474 =E= 1;
e186.. - x234 - x449 - x472 + x475 + x476 + x477 =E= 1;
e187.. - x237 - x452 - x475 + x478 + x479 + x480 =E= 1;
e188.. - x240 - x455 - x478 + x481 + x482 + x483 =E= 1;
e189.. - x243 - x458 - x481 + x484 + x485 + x486 =E= 1;
e190.. - x484 - x2205 - x2220 + x2222 + x2223 + x2748 + x2749 =E= 1;
e191.. - x461 - x2351 + x2368 + x2369 + x2750 + x2751 + x3119 + x3120 =E= 1;
e192.. - x464 - x2353 - x2368 + x2370 + x2371 + x3123 + x3124 =E= 1;
e193.. - x467 - x2355 - x2370 + x2372 + x2373 + x3127 + x3128 =E= 1;
e194.. - x470 - x2357 - x2372 + x2374 + x2375 + x3131 + x3132 =E= 1;
e195.. - x473 - x2359 - x2374 + x2376 + x2377 + x3135 + x3136 =E= 1;
e196.. - x476 - x2361 - x2376 + x2378 + x2379 + x3139 + x3140 =E= 1;
e197.. - x479 - x2363 - x2378 + x2380 + x2381 + x3143 + x3144 =E= 1;
e198.. - x482 - x2365 - x2380 + x2382 + x2383 + x3147 + x3148 =E= 1;
e199.. - x485 - x2367 - x2382 + x2384 + x2385 + x3151 + x3152 =E= 1;
e200.. - x2222 - x2384 + x2752 + x2753 + x3155 + x3156 =E= 1;
e201.. - x246 + x487 + x488 + x489 + x2754 + x2755 + x3157 + x3158 =E= 1;
e202.. - x249 - x487 + x490 + x491 + x492 + x3161 + x3162 =E= 1;
e203.. - x252 - x490 + x493 + x494 + x495 + x3038 + x3059 =E= 1;
e204.. - x255 - x493 + x496 + x497 + x498 + x3166 + x3167 =E= 1;
e205.. - x258 - x496 + x499 + x500 + x501 + x3170 + x3171 =E= 1;
e206.. - x261 - x499 + x502 + x503 + x504 + x3174 + x3175 =E= 1;
e207.. - x264 - x502 + x505 + x506 + x507 + x3178 + x3179 =E= 1;
e208.. - x267 - x505 + x508 + x509 + x510 + x3182 + x3183 =E= 1;
e209.. - x270 - x508 + x511 + x512 + x513 + x3186 + x3187 =E= 1;
e210.. - x511 - x2207 + x2224 + x2225 + x2756 + x2757 + x3190 + x3191 =E= 1;
e211.. - x273 - x488 + x514 + x515 + x516 + x2758 + x2759 =E= 1;
e212.. - x276 - x491 - x514 + x517 + x518 + x519 =E= 1;
e213.. - x279 - x494 - x517 + x520 + x521 + x522 =E= 1;
e214.. - x282 - x497 - x520 + x523 + x524 + x525 =E= 1;
e215.. - x285 - x500 - x523 + x526 + x527 + x528 =E= 1;
e216.. - x288 - x503 - x526 + x529 + x530 + x531 =E= 1;
e217.. - x291 - x506 - x529 + x532 + x533 + x534 =E= 1;
e218.. - x294 - x509 - x532 + x535 + x536 + x537 =E= 1;
e219.. - x297 - x512 - x535 + x538 + x539 + x540 =E= 1;
e220.. - x538 - x2209 - x2224 + x2226 + x2227 + x2760 + x2761 =E= 1;
e221.. - x300 - x515 + x541 + x542 + x543 + x2762 + x2763 =E= 1;
e222.. - x303 - x518 - x541 + x544 + x545 + x546 =E= 1;
e223.. - x306 - x521 - x544 + x547 + x548 + x549 =E= 1;
e224.. - x309 - x524 - x547 + x550 + x551 + x552 =E= 1;
e225.. - x312 - x527 - x550 + x553 + x554 + x555 =E= 1;
e226.. - x315 - x530 - x553 + x556 + x557 + x558 =E= 1;
e227.. - x318 - x533 - x556 + x559 + x560 + x561 =E= 1;
e228.. - x321 - x536 - x559 + x562 + x563 + x564 =E= 1;
e229.. - x324 - x539 - x562 + x565 + x566 + x567 =E= 1;
e230.. - x565 - x2211 - x2226 + x2228 + x2229 + x2764 + x2765 =E= 1;
e231.. - x327 - x542 + x568 + x569 + x570 + x2766 + x2767 =E= 1;
e232.. - x330 - x545 - x568 + x571 + x572 + x573 =E= 1;
e233.. - x333 - x548 - x571 + x574 + x575 + x576 =E= 1;
e234.. - x336 - x551 - x574 + x577 + x578 + x579 =E= 1;
e235.. - x339 - x554 - x577 + x580 + x581 + x582 =E= 1;
e236.. - x342 - x557 - x580 + x583 + x584 + x585 =E= 1;
e237.. - x345 - x560 - x583 + x586 + x587 + x588 =E= 1;
e238.. - x348 - x563 - x586 + x589 + x590 + x591 =E= 1;
e239.. - x351 - x566 - x589 + x592 + x593 + x594 =E= 1;
e240.. - x592 - x2213 - x2228 + x2230 + x2231 + x2768 + x2769 =E= 1;
e241.. - x354 - x569 + x595 + x596 + x597 + x2770 + x2771 =E= 1;
e242.. - x357 - x572 - x595 + x598 + x599 + x600 =E= 1;
e243.. - x360 - x575 - x598 + x601 + x602 + x603 =E= 1;
e244.. - x363 - x578 - x601 + x604 + x605 + x606 =E= 1;
e245.. - x366 - x581 - x604 + x607 + x608 + x609 =E= 1;
e246.. - x369 - x584 - x607 + x610 + x611 + x612 =E= 1;
e247.. - x372 - x587 - x610 + x613 + x614 + x615 =E= 1;
e248.. - x375 - x590 - x613 + x616 + x617 + x618 =E= 1;
e249.. - x378 - x593 - x616 + x619 + x620 + x621 =E= 1;
e250.. - x619 - x2215 - x2230 + x2232 + x2233 + x2772 + x2773 =E= 1;
e251.. - x381 - x596 + x622 + x623 + x624 + x2774 + x2775 =E= 1;
e252.. - x384 - x599 - x622 + x625 + x626 + x627 =E= 1;
e253.. - x387 - x602 - x625 + x628 + x629 + x630 =E= 1;
e254.. - x390 - x605 - x628 + x631 + x632 + x633 =E= 1;
e255.. - x393 - x608 - x631 + x634 + x635 + x636 =E= 1;
e256.. - x396 - x611 - x634 + x637 + x638 + x639 =E= 1;
e257.. - x399 - x614 - x637 + x640 + x641 + x642 =E= 1;
e258.. - x402 - x617 - x640 + x643 + x644 + x645 =E= 1;
e259.. - x405 - x620 - x643 + x646 + x647 + x648 =E= 1;
e260.. - x646 - x2217 - x2232 + x2234 + x2235 + x2776 + x2777 =E= 1;
e261.. - x408 - x623 + x649 + x650 + x651 + x2778 + x2779 =E= 1;
e262.. - x411 - x626 - x649 + x652 + x653 + x654 =E= 1;
e263.. - x414 - x629 - x652 + x655 + x656 + x657 =E= 1;
e264.. - x417 - x632 - x655 + x658 + x659 + x660 =E= 1;
e265.. - x420 - x635 - x658 + x661 + x662 + x663 =E= 1;
e266.. - x423 - x638 - x661 + x664 + x665 + x666 =E= 1;
e267.. - x426 - x641 - x664 + x667 + x668 + x669 =E= 1;
e268.. - x429 - x644 - x667 + x670 + x671 + x672 =E= 1;
e269.. - x432 - x647 - x670 + x673 + x674 + x675 =E= 1;
e270.. - x673 - x2219 - x2234 + x2236 + x2237 + x2780 + x2781 =E= 1;
e271.. - x435 - x650 + x676 + x677 + x678 + x2782 + x2783 =E= 1;
e272.. - x438 - x653 - x676 + x679 + x680 + x681 =E= 1;
e273.. - x441 - x656 - x679 + x682 + x683 + x684 =E= 1;
e274.. - x444 - x659 - x682 + x685 + x686 + x687 =E= 1;
e275.. - x447 - x662 - x685 + x688 + x689 + x690 =E= 1;
e276.. - x450 - x665 - x688 + x691 + x692 + x693 =E= 1;
e277.. - x453 - x668 - x691 + x694 + x695 + x696 =E= 1;
e278.. - x456 - x671 - x694 + x697 + x698 + x699 =E= 1;
e279.. - x459 - x674 - x697 + x700 + x701 + x702 =E= 1;
e280.. - x700 - x2221 - x2236 + x2238 + x2239 + x2784 + x2785 =E= 1;
e281.. - x462 - x677 + x703 + x704 + x705 + x2786 + x2787 =E= 1;
e282.. - x465 - x680 - x703 + x706 + x707 + x708 =E= 1;
e283.. - x468 - x683 - x706 + x709 + x710 + x711 =E= 1;
e284.. - x471 - x686 - x709 + x712 + x713 + x714 =E= 1;
e285.. - x474 - x689 - x712 + x715 + x716 + x717 =E= 1;
e286.. - x477 - x692 - x715 + x718 + x719 + x720 =E= 1;
e287.. - x480 - x695 - x718 + x721 + x722 + x723 =E= 1;
e288.. - x483 - x698 - x721 + x724 + x725 + x726 =E= 1;
e289.. - x486 - x701 - x724 + x727 + x728 + x729 =E= 1;
e290.. - x727 - x2223 - x2238 + x2240 + x2241 + x2788 + x2789 =E= 1;
e291.. - x704 - x2369 + x2386 + x2387 + x2790 + x2791 + x3159 + x3160 =E= 1;
e292.. - x707 - x2371 - x2386 + x2388 + x2389 + x3163 + x3164 =E= 1;
e293.. - x710 - x2373 - x2388 + x2390 + x2391 + x3017 + x3165 =E= 1;
e294.. - x713 - x2375 - x2390 + x2392 + x2393 + x3168 + x3169 =E= 1;
e295.. - x716 - x2377 - x2392 + x2394 + x2395 + x3172 + x3173 =E= 1;
e296.. - x719 - x2379 - x2394 + x2396 + x2397 + x3176 + x3177 =E= 1;
e297.. - x722 - x2381 - x2396 + x2398 + x2399 + x3180 + x3181 =E= 1;
e298.. - x725 - x2383 - x2398 + x2400 + x2401 + x3184 + x3185 =E= 1;
e299.. - x728 - x2385 - x2400 + x2402 + x2403 + x3188 + x3189 =E= 1;
e300.. - x2240 - x2402 + x2792 + x2793 + x3192 + x3193 =E= 1;
e301.. - x489 + x730 + x731 + x732 + x2794 + x2795 + x3194 + x3195 =E= 1;
e302.. - x492 - x730 + x733 + x734 + x735 + x3198 + x3199 =E= 1;
e303.. - x495 - x733 + x736 + x737 + x738 + x3202 + x3203 =E= 1;
e304.. - x498 - x736 + x739 + x740 + x741 + x3206 + x3207 =E= 1;
e305.. - x501 - x739 + x742 + x743 + x744 + x3210 + x3211 =E= 1;
e306.. - x504 - x742 + x745 + x746 + x747 + x3214 + x3215 =E= 1;
e307.. - x507 - x745 + x748 + x749 + x750 + x3218 + x3219 =E= 1;
e308.. - x510 - x748 + x751 + x752 + x753 + x3222 + x3223 =E= 1;
e309.. - x513 - x751 + x754 + x755 + x756 + x3226 + x3227 =E= 1;
e310.. - x754 - x2225 + x2242 + x2243 + x2796 + x2797 + x3230 + x3231 =E= 1;
e311.. - x516 - x731 + x757 + x758 + x759 + x2798 + x2799 =E= 1;
e312.. - x519 - x734 - x757 + x760 + x761 + x762 =E= 1;
e313.. - x522 - x737 - x760 + x763 + x764 + x765 =E= 1;
e314.. - x525 - x740 - x763 + x766 + x767 + x768 =E= 1;
e315.. - x528 - x743 - x766 + x769 + x770 + x771 =E= 1;
e316.. - x531 - x746 - x769 + x772 + x773 + x774 =E= 1;
e317.. - x534 - x749 - x772 + x775 + x776 + x777 =E= 1;
e318.. - x537 - x752 - x775 + x778 + x779 + x780 =E= 1;
e319.. - x540 - x755 - x778 + x781 + x782 + x783 =E= 1;
e320.. - x781 - x2227 - x2242 + x2244 + x2245 + x2800 + x2801 =E= 1;
e321.. - x543 - x758 + x784 + x785 + x786 + x2802 + x2803 =E= 1;
e322.. - x546 - x761 - x784 + x787 + x788 + x789 =E= 1;
e323.. - x549 - x764 - x787 + x790 + x791 + x792 =E= 1;
e324.. - x552 - x767 - x790 + x793 + x794 + x795 =E= 1;
e325.. - x555 - x770 - x793 + x796 + x797 + x798 =E= 1;
e326.. - x558 - x773 - x796 + x799 + x800 + x801 =E= 1;
e327.. - x561 - x776 - x799 + x802 + x803 + x804 =E= 1;
e328.. - x564 - x779 - x802 + x805 + x806 + x807 =E= 1;
e329.. - x567 - x782 - x805 + x808 + x809 + x810 =E= 1;
e330.. - x808 - x2229 - x2244 + x2246 + x2247 + x2804 + x2805 =E= 1;
e331.. - x570 - x785 + x811 + x812 + x813 + x2806 + x2807 =E= 1;
e332.. - x573 - x788 - x811 + x814 + x815 + x816 =E= 1;
e333.. - x576 - x791 - x814 + x817 + x818 + x819 =E= 1;
e334.. - x579 - x794 - x817 + x820 + x821 + x822 =E= 1;
e335.. - x582 - x797 - x820 + x823 + x824 + x825 =E= 1;
e336.. - x585 - x800 - x823 + x826 + x827 + x828 =E= 1;
e337.. - x588 - x803 - x826 + x829 + x830 + x831 =E= 1;
e338.. - x591 - x806 - x829 + x832 + x833 + x834 =E= 1;
e339.. - x594 - x809 - x832 + x835 + x836 + x837 =E= 1;
e340.. - x835 - x2231 - x2246 + x2248 + x2249 + x2808 + x2809 =E= 1;
e341.. - x597 - x812 + x838 + x839 + x840 + x2810 + x2811 =E= 1;
e342.. - x600 - x815 - x838 + x841 + x842 + x843 =E= 1;
e343.. - x603 - x818 - x841 + x844 + x845 + x846 =E= 1;
e344.. - x606 - x821 - x844 + x847 + x848 + x849 =E= 1;
e345.. - x609 - x824 - x847 + x850 + x851 + x852 =E= 1;
e346.. - x612 - x827 - x850 + x853 + x854 + x855 =E= 1;
e347.. - x615 - x830 - x853 + x856 + x857 + x858 =E= 1;
e348.. - x618 - x833 - x856 + x859 + x860 + x861 =E= 1;
e349.. - x621 - x836 - x859 + x862 + x863 + x864 =E= 1;
e350.. - x862 - x2233 - x2248 + x2250 + x2251 + x2812 + x2813 =E= 1;
e351.. - x624 - x839 + x865 + x866 + x867 + x2814 + x2815 =E= 1;
e352.. - x627 - x842 - x865 + x868 + x869 + x870 =E= 1;
e353.. - x630 - x845 - x868 + x871 + x872 + x873 =E= 1;
e354.. - x633 - x848 - x871 + x874 + x875 + x876 =E= 1;
e355.. - x636 - x851 - x874 + x877 + x878 + x879 =E= 1;
e356.. - x639 - x854 - x877 + x880 + x881 + x882 =E= 1;
e357.. - x642 - x857 - x880 + x883 + x884 + x885 =E= 1;
e358.. - x645 - x860 - x883 + x886 + x887 + x888 =E= 1;
e359.. - x648 - x863 - x886 + x889 + x890 + x891 =E= 1;
e360.. - x889 - x2235 - x2250 + x2252 + x2253 + x2816 + x2817 =E= 1;
e361.. - x651 - x866 + x892 + x893 + x894 + x2818 + x2819 =E= 1;
e362.. - x654 - x869 - x892 + x895 + x896 + x897 =E= 1;
e363.. - x657 - x872 - x895 + x898 + x899 + x900 =E= 1;
e364.. - x660 - x875 - x898 + x901 + x902 + x903 =E= 1;
e365.. - x663 - x878 - x901 + x904 + x905 + x906 =E= 1;
e366.. - x666 - x881 - x904 + x907 + x908 + x909 =E= 1;
e367.. - x669 - x884 - x907 + x910 + x911 + x912 =E= 1;
e368.. - x672 - x887 - x910 + x913 + x914 + x915 =E= 1;
e369.. - x675 - x890 - x913 + x916 + x917 + x918 =E= 1;
e370.. - x916 - x2237 - x2252 + x2254 + x2255 + x2820 + x2821 =E= 1;
e371.. - x678 - x893 + x919 + x920 + x921 + x2822 + x2823 =E= 1;
e372.. - x681 - x896 - x919 + x922 + x923 + x924 =E= 1;
e373.. - x684 - x899 - x922 + x925 + x926 + x927 =E= 1;
e374.. - x687 - x902 - x925 + x928 + x929 + x930 =E= 1;
e375.. - x690 - x905 - x928 + x931 + x932 + x933 =E= 1;
e376.. - x693 - x908 - x931 + x934 + x935 + x936 =E= 1;
e377.. - x696 - x911 - x934 + x937 + x938 + x939 =E= 1;
e378.. - x699 - x914 - x937 + x940 + x941 + x942 =E= 1;
e379.. - x702 - x917 - x940 + x943 + x944 + x945 =E= 1;
e380.. - x943 - x2239 - x2254 + x2256 + x2257 + x2824 + x2825 =E= 1;
e381.. - x705 - x920 + x946 + x947 + x948 + x2826 + x2827 =E= 1;
e382.. - x708 - x923 - x946 + x949 + x950 + x951 =E= 1;
e383.. - x711 - x926 - x949 + x952 + x953 + x954 =E= 1;
e384.. - x714 - x929 - x952 + x955 + x956 + x957 =E= 1;
e385.. - x717 - x932 - x955 + x958 + x959 + x960 =E= 1;
e386.. - x720 - x935 - x958 + x961 + x962 + x963 =E= 1;
e387.. - x723 - x938 - x961 + x964 + x965 + x966 =E= 1;
e388.. - x726 - x941 - x964 + x967 + x968 + x969 =E= 1;
e389.. - x729 - x944 - x967 + x970 + x971 + x972 =E= 1;
e390.. - x970 - x2241 - x2256 + x2258 + x2259 + x2828 + x2829 =E= 1;
e391.. - x947 - x2387 + x2404 + x2405 + x2830 + x2831 + x3196 + x3197 =E= 1;
e392.. - x950 - x2389 - x2404 + x2406 + x2407 + x3200 + x3201 =E= 1;
e393.. - x953 - x2391 - x2406 + x2408 + x2409 + x3204 + x3205 =E= 1;
e394.. - x956 - x2393 - x2408 + x2410 + x2411 + x3208 + x3209 =E= 1;
e395.. - x959 - x2395 - x2410 + x2412 + x2413 + x3212 + x3213 =E= 1;
e396.. - x962 - x2397 - x2412 + x2414 + x2415 + x3216 + x3217 =E= 1;
e397.. - x965 - x2399 - x2414 + x2416 + x2417 + x3220 + x3221 =E= 1;
e398.. - x968 - x2401 - x2416 + x2418 + x2419 + x3224 + x3225 =E= 1;
e399.. - x971 - x2403 - x2418 + x2420 + x2421 + x3228 + x3229 =E= 1;
e400.. - x2258 - x2420 + x2832 + x2833 + x3232 + x3233 =E= 1;
e401.. - x732 + x973 + x974 + x975 + x2834 + x2835 + x3234 + x3235 =E= 1;
e402.. - x735 - x973 + x976 + x977 + x978 + x3238 + x3239 =E= 1;
e403.. - x738 - x976 + x979 + x980 + x981 + x3242 + x3243 =E= 1;
e404.. - x741 - x979 + x982 + x983 + x984 + x3246 + x3247 =E= 1;
e405.. - x744 - x982 + x985 + x986 + x987 + x3250 + x3251 =E= 1;
e406.. - x747 - x985 + x988 + x989 + x990 + x3254 + x3255 =E= 1;
e407.. - x750 - x988 + x991 + x992 + x993 + x3258 + x3259 =E= 1;
e408.. - x753 - x991 + x994 + x995 + x996 + x3262 + x3263 =E= 1;
e409.. - x756 - x994 + x997 + x998 + x999 + x3266 + x3267 =E= 1;
e410.. - x997 - x2243 + x2260 + x2261 + x2836 + x2837 + x3270 + x3271 =E= 1;
e411.. - x759 - x974 + x1000 + x1001 + x1002 + x2838 + x2839 =E= 1;
e412.. - x762 - x977 - x1000 + x1003 + x1004 + x1005 =E= 1;
e413.. - x765 - x980 - x1003 + x1006 + x1007 + x1008 =E= 1;
e414.. - x768 - x983 - x1006 + x1009 + x1010 + x1011 =E= 1;
e415.. - x771 - x986 - x1009 + x1012 + x1013 + x1014 =E= 1;
e416.. - x774 - x989 - x1012 + x1015 + x1016 + x1017 =E= 1;
e417.. - x777 - x992 - x1015 + x1018 + x1019 + x1020 =E= 1;
e418.. - x780 - x995 - x1018 + x1021 + x1022 + x1023 =E= 1;
e419.. - x783 - x998 - x1021 + x1024 + x1025 + x1026 =E= 1;
e420.. - x1024 - x2245 - x2260 + x2262 + x2263 + x2840 + x2841 =E= 1;
e421.. - x786 - x1001 + x1027 + x1028 + x1029 + x2842 + x2843 =E= 1;
e422.. - x789 - x1004 - x1027 + x1030 + x1031 + x1032 =E= 1;
e423.. - x792 - x1007 - x1030 + x1033 + x1034 + x1035 =E= 1;
e424.. - x795 - x1010 - x1033 + x1036 + x1037 + x1038 =E= 1;
e425.. - x798 - x1013 - x1036 + x1039 + x1040 + x1041 =E= 1;
e426.. - x801 - x1016 - x1039 + x1042 + x1043 + x1044 =E= 1;
e427.. - x804 - x1019 - x1042 + x1045 + x1046 + x1047 =E= 1;
e428.. - x807 - x1022 - x1045 + x1048 + x1049 + x1050 =E= 1;
e429.. - x810 - x1025 - x1048 + x1051 + x1052 + x1053 =E= 1;
e430.. - x1051 - x2247 - x2262 + x2264 + x2265 + x2844 + x2845 =E= 1;
e431.. - x813 - x1028 + x1054 + x1055 + x1056 + x2846 + x2847 =E= 1;
e432.. - x816 - x1031 - x1054 + x1057 + x1058 + x1059 =E= 1;
e433.. - x819 - x1034 - x1057 + x1060 + x1061 + x1062 =E= 1;
e434.. - x822 - x1037 - x1060 + x1063 + x1064 + x1065 =E= 1;
e435.. - x825 - x1040 - x1063 + x1066 + x1067 + x1068 =E= 1;
e436.. - x828 - x1043 - x1066 + x1069 + x1070 + x1071 =E= 1;
e437.. - x831 - x1046 - x1069 + x1072 + x1073 + x1074 =E= 1;
e438.. - x834 - x1049 - x1072 + x1075 + x1076 + x1077 =E= 1;
e439.. - x837 - x1052 - x1075 + x1078 + x1079 + x1080 =E= 1;
e440.. - x1078 - x2249 - x2264 + x2266 + x2267 + x2848 + x2849 =E= 1;
e441.. - x840 - x1055 + x1081 + x1082 + x1083 + x2850 + x2851 =E= 1;
e442.. - x843 - x1058 - x1081 + x1084 + x1085 + x1086 =E= 1;
e443.. - x846 - x1061 - x1084 + x1087 + x1088 + x1089 =E= 1;
e444.. - x849 - x1064 - x1087 + x1090 + x1091 + x1092 =E= 1;
e445.. - x852 - x1067 - x1090 + x1093 + x1094 + x1095 =E= 1;
e446.. - x855 - x1070 - x1093 + x1096 + x1097 + x1098 =E= 1;
e447.. - x858 - x1073 - x1096 + x1099 + x1100 + x1101 =E= 1;
e448.. - x861 - x1076 - x1099 + x1102 + x1103 + x1104 =E= 1;
e449.. - x864 - x1079 - x1102 + x1105 + x1106 + x1107 =E= 1;
e450.. - x1105 - x2251 - x2266 + x2268 + x2269 + x2852 + x2853 =E= 1;
e451.. - x867 - x1082 + x1108 + x1109 + x1110 + x2854 + x2855 =E= 1;
e452.. - x870 - x1085 - x1108 + x1111 + x1112 + x1113 =E= 1;
e453.. - x873 - x1088 - x1111 + x1114 + x1115 + x1116 =E= 1;
e454.. - x876 - x1091 - x1114 + x1117 + x1118 + x1119 =E= 1;
e455.. - x879 - x1094 - x1117 + x1120 + x1121 + x1122 =E= 1;
e456.. - x882 - x1097 - x1120 + x1123 + x1124 + x1125 =E= 1;
e457.. - x885 - x1100 - x1123 + x1126 + x1127 + x1128 =E= 1;
e458.. - x888 - x1103 - x1126 + x1129 + x1130 + x1131 =E= 1;
e459.. - x891 - x1106 - x1129 + x1132 + x1133 + x1134 =E= 1;
e460.. - x1132 - x2253 - x2268 + x2270 + x2271 + x2856 + x2857 =E= 1;
e461.. - x894 - x1109 + x1135 + x1136 + x1137 + x2858 + x2859 =E= 1;
e462.. - x897 - x1112 - x1135 + x1138 + x1139 + x1140 =E= 1;
e463.. - x900 - x1115 - x1138 + x1141 + x1142 + x1143 =E= 1;
e464.. - x903 - x1118 - x1141 + x1144 + x1145 + x1146 =E= 1;
e465.. - x906 - x1121 - x1144 + x1147 + x1148 + x1149 =E= 1;
e466.. - x909 - x1124 - x1147 + x1150 + x1151 + x1152 =E= 1;
e467.. - x912 - x1127 - x1150 + x1153 + x1154 + x1155 =E= 1;
e468.. - x915 - x1130 - x1153 + x1156 + x1157 + x1158 =E= 1;
e469.. - x918 - x1133 - x1156 + x1159 + x1160 + x1161 =E= 1;
e470.. - x1159 - x2255 - x2270 + x2272 + x2273 + x2860 + x2861 =E= 1;
e471.. - x921 - x1136 + x1162 + x1163 + x1164 + x2862 + x2863 =E= 1;
e472.. - x924 - x1139 - x1162 + x1165 + x1166 + x1167 =E= 1;
e473.. - x927 - x1142 - x1165 + x1168 + x1169 + x1170 =E= 1;
e474.. - x930 - x1145 - x1168 + x1171 + x1172 + x1173 =E= 1;
e475.. - x933 - x1148 - x1171 + x1174 + x1175 + x1176 =E= 1;
e476.. - x936 - x1151 - x1174 + x1177 + x1178 + x1179 =E= 1;
e477.. - x939 - x1154 - x1177 + x1180 + x1181 + x1182 =E= 1;
e478.. - x942 - x1157 - x1180 + x1183 + x1184 + x1185 =E= 1;
e479.. - x945 - x1160 - x1183 + x1186 + x1187 + x1188 =E= 1;
e480.. - x1186 - x2257 - x2272 + x2274 + x2275 + x2864 + x2865 =E= 1;
e481.. - x948 - x1163 + x1189 + x1190 + x1191 + x2866 + x2867 =E= 1;
e482.. - x951 - x1166 - x1189 + x1192 + x1193 + x1194 =E= 1;
e483.. - x954 - x1169 - x1192 + x1195 + x1196 + x1197 =E= 1;
e484.. - x957 - x1172 - x1195 + x1198 + x1199 + x1200 =E= 1;
e485.. - x960 - x1175 - x1198 + x1201 + x1202 + x1203 =E= 1;
e486.. - x963 - x1178 - x1201 + x1204 + x1205 + x1206 =E= 1;
e487.. - x966 - x1181 - x1204 + x1207 + x1208 + x1209 =E= 1;
e488.. - x969 - x1184 - x1207 + x1210 + x1211 + x1212 =E= 1;
e489.. - x972 - x1187 - x1210 + x1213 + x1214 + x1215 =E= 1;
e490.. - x1213 - x2259 - x2274 + x2276 + x2277 + x2868 + x2869 =E= 1;
e491.. - x1190 - x2405 + x2422 + x2423 + x2870 + x2871 + x3236 + x3237 =E= 1;
e492.. - x1193 - x2407 - x2422 + x2424 + x2425 + x3240 + x3241 =E= 1;
e493.. - x1196 - x2409 - x2424 + x2426 + x2427 + x3244 + x3245 =E= 1;
e494.. - x1199 - x2411 - x2426 + x2428 + x2429 + x3248 + x3249 =E= 1;
e495.. - x1202 - x2413 - x2428 + x2430 + x2431 + x3252 + x3253 =E= 1;
e496.. - x1205 - x2415 - x2430 + x2432 + x2433 + x3256 + x3257 =E= 1;
e497.. - x1208 - x2417 - x2432 + x2434 + x2435 + x3260 + x3261 =E= 1;
e498.. - x1211 - x2419 - x2434 + x2436 + x2437 + x3264 + x3265 =E= 1;
e499.. - x1214 - x2421 - x2436 + x2438 + x2439 + x3268 + x3269 =E= 1;
e500.. - x2276 - x2438 + x2872 + x2873 + x3272 + x3273 =E= 1;
e501.. - x975 + x1216 + x1217 + x1218 + x2874 + x2875 + x3274 + x3275 =E= 1;
e502.. - x978 - x1216 + x1219 + x1220 + x1221 + x3278 + x3279 =E= 1;
e503.. - x981 - x1219 + x1222 + x1223 + x1224 + x3282 + x3283 =E= 1;
e504.. - x984 - x1222 + x1225 + x1226 + x1227 + x3286 + x3287 =E= 1;
e505.. - x987 - x1225 + x1228 + x1229 + x1230 + x3290 + x3291 =E= 1;
e506.. - x990 - x1228 + x1231 + x1232 + x1233 + x3294 + x3295 =E= 1;
e507.. - x993 - x1231 + x1234 + x1235 + x1236 + x3298 + x3299 =E= 1;
e508.. - x996 - x1234 + x1237 + x1238 + x1239 + x3302 + x3303 =E= 1;
e509.. - x999 - x1237 + x1240 + x1241 + x1242 + x3306 + x3307 =E= 1;
e510.. - x1240 - x2261 + x2278 + x2279 + x2876 + x2877 + x3310 + x3311 =E= 1;
e511.. - x1002 - x1217 + x1243 + x1244 + x1245 + x2878 + x2879 =E= 1;
e512.. - x1005 - x1220 - x1243 + x1246 + x1247 + x1248 =E= 1;
e513.. - x1008 - x1223 - x1246 + x1249 + x1250 + x1251 =E= 1;
e514.. - x1011 - x1226 - x1249 + x1252 + x1253 + x1254 =E= 1;
e515.. - x1014 - x1229 - x1252 + x1255 + x1256 + x1257 =E= 1;
e516.. - x1017 - x1232 - x1255 + x1258 + x1259 + x1260 =E= 1;
e517.. - x1020 - x1235 - x1258 + x1261 + x1262 + x1263 =E= 1;
e518.. - x1023 - x1238 - x1261 + x1264 + x1265 + x1266 =E= 1;
e519.. - x1026 - x1241 - x1264 + x1267 + x1268 + x1269 =E= 1;
e520.. - x1267 - x2263 - x2278 + x2280 + x2281 + x2880 + x2881 =E= 1;
e521.. - x1029 - x1244 + x1270 + x1271 + x1272 + x2882 + x2883 =E= 1;
e522.. - x1032 - x1247 - x1270 + x1273 + x1274 + x1275 =E= 1;
e523.. - x1035 - x1250 - x1273 + x1276 + x1277 + x1278 =E= 1;
e524.. - x1038 - x1253 - x1276 + x1279 + x1280 + x1281 =E= 1;
e525.. - x1041 - x1256 - x1279 + x1282 + x1283 + x1284 =E= 1;
e526.. - x1044 - x1259 - x1282 + x1285 + x1286 + x1287 =E= 1;
e527.. - x1047 - x1262 - x1285 + x1288 + x1289 + x1290 =E= 1;
e528.. - x1050 - x1265 - x1288 + x1291 + x1292 + x1293 =E= 1;
e529.. - x1053 - x1268 - x1291 + x1294 + x1295 + x1296 =E= 1;
e530.. - x1294 - x2265 - x2280 + x2282 + x2283 + x2884 + x2885 =E= 1;
e531.. - x1056 - x1271 + x1297 + x1298 + x1299 + x2886 + x2887 =E= 1;
e532.. - x1059 - x1274 - x1297 + x1300 + x1301 + x1302 =E= 1;
e533.. - x1062 - x1277 - x1300 + x1303 + x1304 + x1305 =E= 1;
e534.. - x1065 - x1280 - x1303 + x1306 + x1307 + x1308 =E= 1;
e535.. - x1068 - x1283 - x1306 + x1309 + x1310 + x1311 =E= 1;
e536.. - x1071 - x1286 - x1309 + x1312 + x1313 + x1314 =E= 1;
e537.. - x1074 - x1289 - x1312 + x1315 + x1316 + x1317 =E= 1;
e538.. - x1077 - x1292 - x1315 + x1318 + x1319 + x1320 =E= 1;
e539.. - x1080 - x1295 - x1318 + x1321 + x1322 + x1323 =E= 1;
e540.. - x1321 - x2267 - x2282 + x2284 + x2285 + x2888 + x2889 =E= 1;
e541.. - x1083 - x1298 + x1324 + x1325 + x1326 + x2890 + x2891 =E= 1;
e542.. - x1086 - x1301 - x1324 + x1327 + x1328 + x1329 =E= 1;
e543.. - x1089 - x1304 - x1327 + x1330 + x1331 + x1332 =E= 1;
e544.. - x1092 - x1307 - x1330 + x1333 + x1334 + x1335 =E= 1;
e545.. - x1095 - x1310 - x1333 + x1336 + x1337 + x1338 =E= 1;
e546.. - x1098 - x1313 - x1336 + x1339 + x1340 + x1341 =E= 1;
e547.. - x1101 - x1316 - x1339 + x1342 + x1343 + x1344 =E= 1;
e548.. - x1104 - x1319 - x1342 + x1345 + x1346 + x1347 =E= 1;
e549.. - x1107 - x1322 - x1345 + x1348 + x1349 + x1350 =E= 1;
e550.. - x1348 - x2269 - x2284 + x2286 + x2287 + x2892 + x2893 =E= 1;
e551.. - x1110 - x1325 + x1351 + x1352 + x1353 + x2894 + x2895 =E= 1;
e552.. - x1113 - x1328 - x1351 + x1354 + x1355 + x1356 =E= 1;
e553.. - x1116 - x1331 - x1354 + x1357 + x1358 + x1359 =E= 1;
e554.. - x1119 - x1334 - x1357 + x1360 + x1361 + x1362 =E= 1;
e555.. - x1122 - x1337 - x1360 + x1363 + x1364 + x1365 =E= 1;
e556.. - x1125 - x1340 - x1363 + x1366 + x1367 + x1368 =E= 1;
e557.. - x1128 - x1343 - x1366 + x1369 + x1370 + x1371 =E= 1;
e558.. - x1131 - x1346 - x1369 + x1372 + x1373 + x1374 =E= 1;
e559.. - x1134 - x1349 - x1372 + x1375 + x1376 + x1377 =E= 1;
e560.. - x1375 - x2271 - x2286 + x2288 + x2289 + x2896 + x2897 =E= 1;
e561.. - x1137 - x1352 + x1378 + x1379 + x1380 + x2898 + x2899 =E= 1;
e562.. - x1140 - x1355 - x1378 + x1381 + x1382 + x1383 =E= 1;
e563.. - x1143 - x1358 - x1381 + x1384 + x1385 + x1386 =E= 1;
e564.. - x1146 - x1361 - x1384 + x1387 + x1388 + x1389 =E= 1;
e565.. - x1149 - x1364 - x1387 + x1390 + x1391 + x1392 =E= 1;
e566.. - x1152 - x1367 - x1390 + x1393 + x1394 + x1395 =E= 1;
e567.. - x1155 - x1370 - x1393 + x1396 + x1397 + x1398 =E= 1;
e568.. - x1158 - x1373 - x1396 + x1399 + x1400 + x1401 =E= 1;
e569.. - x1161 - x1376 - x1399 + x1402 + x1403 + x1404 =E= 1;
e570.. - x1402 - x2273 - x2288 + x2290 + x2291 + x2900 + x2901 =E= 1;
e571.. - x1164 - x1379 + x1405 + x1406 + x1407 + x2902 + x2903 =E= 1;
e572.. - x1167 - x1382 - x1405 + x1408 + x1409 + x1410 =E= 1;
e573.. - x1170 - x1385 - x1408 + x1411 + x1412 + x1413 =E= 1;
e574.. - x1173 - x1388 - x1411 + x1414 + x1415 + x1416 =E= 1;
e575.. - x1176 - x1391 - x1414 + x1417 + x1418 + x1419 =E= 1;
e576.. - x1179 - x1394 - x1417 + x1420 + x1421 + x1422 =E= 1;
e577.. - x1182 - x1397 - x1420 + x1423 + x1424 + x1425 =E= 1;
e578.. - x1185 - x1400 - x1423 + x1426 + x1427 + x1428 =E= 1;
e579.. - x1188 - x1403 - x1426 + x1429 + x1430 + x1431 =E= 1;
e580.. - x1429 - x2275 - x2290 + x2292 + x2293 + x2904 + x2905 =E= 1;
e581.. - x1191 - x1406 + x1432 + x1433 + x1434 + x2906 + x2907 =E= 1;
e582.. - x1194 - x1409 - x1432 + x1435 + x1436 + x1437 =E= 1;
e583.. - x1197 - x1412 - x1435 + x1438 + x1439 + x1440 =E= 1;
e584.. - x1200 - x1415 - x1438 + x1441 + x1442 + x1443 =E= 1;
e585.. - x1203 - x1418 - x1441 + x1444 + x1445 + x1446 =E= 1;
e586.. - x1206 - x1421 - x1444 + x1447 + x1448 + x1449 =E= 1;
e587.. - x1209 - x1424 - x1447 + x1450 + x1451 + x1452 =E= 1;
e588.. - x1212 - x1427 - x1450 + x1453 + x1454 + x1455 =E= 1;
e589.. - x1215 - x1430 - x1453 + x1456 + x1457 + x1458 =E= 1;
e590.. - x1456 - x2277 - x2292 + x2294 + x2295 + x2908 + x2909 =E= 1;
e591.. - x1433 - x2423 + x2440 + x2441 + x2910 + x2911 + x3276 + x3277 =E= 1;
e592.. - x1436 - x2425 - x2440 + x2442 + x2443 + x3280 + x3281 =E= 1;
e593.. - x1439 - x2427 - x2442 + x2444 + x2445 + x3284 + x3285 =E= 1;
e594.. - x1442 - x2429 - x2444 + x2446 + x2447 + x3288 + x3289 =E= 1;
e595.. - x1445 - x2431 - x2446 + x2448 + x2449 + x3292 + x3293 =E= 1;
e596.. - x1448 - x2433 - x2448 + x2450 + x2451 + x3296 + x3297 =E= 1;
e597.. - x1451 - x2435 - x2450 + x2452 + x2453 + x3300 + x3301 =E= 1;
e598.. - x1454 - x2437 - x2452 + x2454 + x2455 + x3304 + x3305 =E= 1;
e599.. - x1457 - x2439 - x2454 + x2456 + x2457 + x3308 + x3309 =E= 1;
e600.. - x2294 - x2456 + x2912 + x2913 + x3312 + x3313 =E= 1;
e601.. - x1218 + x1459 + x1460 + x1461 + x2914 + x2915 + x3314 + x3315 =E= 1;
e602.. - x1221 - x1459 + x1462 + x1463 + x1464 + x3318 + x3319 =E= 1;
e603.. - x1224 - x1462 + x1465 + x1466 + x1467 + x3322 + x3323 =E= 1;
e604.. - x1227 - x1465 + x1468 + x1469 + x1470 + x3326 + x3327 =E= 1;
e605.. - x1230 - x1468 + x1471 + x1472 + x1473 + x3330 + x3331 =E= 1;
e606.. - x1233 - x1471 + x1474 + x1475 + x1476 + x3334 + x3335 =E= 1;
e607.. - x1236 - x1474 + x1477 + x1478 + x1479 + x3338 + x3339 =E= 1;
e608.. - x1239 - x1477 + x1480 + x1481 + x1482 + x3342 + x3343 =E= 1;
e609.. - x1242 - x1480 + x1483 + x1484 + x1485 + x3346 + x3347 =E= 1;
e610.. - x1483 - x2279 + x2296 + x2297 + x2916 + x2917 + x3350 + x3351 =E= 1;
e611.. - x1245 - x1460 + x1486 + x1487 + x1488 + x2918 + x2919 =E= 1;
e612.. - x1248 - x1463 - x1486 + x1489 + x1490 + x1491 =E= 1;
e613.. - x1251 - x1466 - x1489 + x1492 + x1493 + x1494 =E= 1;
e614.. - x1254 - x1469 - x1492 + x1495 + x1496 + x1497 =E= 1;
e615.. - x1257 - x1472 - x1495 + x1498 + x1499 + x1500 =E= 1;
e616.. - x1260 - x1475 - x1498 + x1501 + x1502 + x1503 =E= 1;
e617.. - x1263 - x1478 - x1501 + x1504 + x1505 + x1506 =E= 1;
e618.. - x1266 - x1481 - x1504 + x1507 + x1508 + x1509 =E= 1;
e619.. - x1269 - x1484 - x1507 + x1510 + x1511 + x1512 =E= 1;
e620.. - x1510 - x2281 - x2296 + x2298 + x2299 + x2920 + x2921 =E= 1;
e621.. - x1272 - x1487 + x1513 + x1514 + x1515 + x2922 + x2923 =E= 1;
e622.. - x1275 - x1490 - x1513 + x1516 + x1517 + x1518 =E= 1;
e623.. - x1278 - x1493 - x1516 + x1519 + x1520 + x1521 =E= 1;
e624.. - x1281 - x1496 - x1519 + x1522 + x1523 + x1524 =E= 1;
e625.. - x1284 - x1499 - x1522 + x1525 + x1526 + x1527 =E= 1;
e626.. - x1287 - x1502 - x1525 + x1528 + x1529 + x1530 =E= 1;
e627.. - x1290 - x1505 - x1528 + x1531 + x1532 + x1533 =E= 1;
e628.. - x1293 - x1508 - x1531 + x1534 + x1535 + x1536 =E= 1;
e629.. - x1296 - x1511 - x1534 + x1537 + x1538 + x1539 =E= 1;
e630.. - x1537 - x2283 - x2298 + x2300 + x2301 + x2924 + x2925 =E= 1;
e631.. - x1299 - x1514 + x1540 + x1541 + x1542 + x2926 + x2927 =E= 1;
e632.. - x1302 - x1517 - x1540 + x1543 + x1544 + x1545 =E= 1;
e633.. - x1305 - x1520 - x1543 + x1546 + x1547 + x1548 =E= 1;
e634.. - x1308 - x1523 - x1546 + x1549 + x1550 + x1551 =E= 1;
e635.. - x1311 - x1526 - x1549 + x1552 + x1553 + x1554 =E= 1;
e636.. - x1314 - x1529 - x1552 + x1555 + x1556 + x1557 =E= 1;
e637.. - x1317 - x1532 - x1555 + x1558 + x1559 + x1560 =E= 1;
e638.. - x1320 - x1535 - x1558 + x1561 + x1562 + x1563 =E= 1;
e639.. - x1323 - x1538 - x1561 + x1564 + x1565 + x1566 =E= 1;
e640.. - x1564 - x2285 - x2300 + x2302 + x2303 + x2928 + x2929 =E= 1;
e641.. - x1326 - x1541 + x1567 + x1568 + x1569 + x2930 + x2931 =E= 1;
e642.. - x1329 - x1544 - x1567 + x1570 + x1571 + x1572 =E= 1;
e643.. - x1332 - x1547 - x1570 + x1573 + x1574 + x1575 =E= 1;
e644.. - x1335 - x1550 - x1573 + x1576 + x1577 + x1578 =E= 1;
e645.. - x1338 - x1553 - x1576 + x1579 + x1580 + x1581 =E= 1;
e646.. - x1341 - x1556 - x1579 + x1582 + x1583 + x1584 =E= 1;
e647.. - x1344 - x1559 - x1582 + x1585 + x1586 + x1587 =E= 1;
e648.. - x1347 - x1562 - x1585 + x1588 + x1589 + x1590 =E= 1;
e649.. - x1350 - x1565 - x1588 + x1591 + x1592 + x1593 =E= 1;
e650.. - x1591 - x2287 - x2302 + x2304 + x2305 + x2932 + x2933 =E= 1;
e651.. - x1353 - x1568 + x1594 + x1595 + x1596 + x2934 + x2935 =E= 1;
e652.. - x1356 - x1571 - x1594 + x1597 + x1598 + x1599 =E= 1;
e653.. - x1359 - x1574 - x1597 + x1600 + x1601 + x1602 =E= 1;
e654.. - x1362 - x1577 - x1600 + x1603 + x1604 + x1605 =E= 1;
e655.. - x1365 - x1580 - x1603 + x1606 + x1607 + x1608 =E= 1;
e656.. - x1368 - x1583 - x1606 + x1609 + x1610 + x1611 =E= 1;
e657.. - x1371 - x1586 - x1609 + x1612 + x1613 + x1614 =E= 1;
e658.. - x1374 - x1589 - x1612 + x1615 + x1616 + x1617 =E= 1;
e659.. - x1377 - x1592 - x1615 + x1618 + x1619 + x1620 =E= 1;
e660.. - x1618 - x2289 - x2304 + x2306 + x2307 + x2936 + x2937 =E= 1;
e661.. - x1380 - x1595 + x1621 + x1622 + x1623 + x2938 + x2939 =E= 1;
e662.. - x1383 - x1598 - x1621 + x1624 + x1625 + x1626 =E= 1;
e663.. - x1386 - x1601 - x1624 + x1627 + x1628 + x1629 =E= 1;
e664.. - x1389 - x1604 - x1627 + x1630 + x1631 + x1632 =E= 1;
e665.. - x1392 - x1607 - x1630 + x1633 + x1634 + x1635 =E= 1;
e666.. - x1395 - x1610 - x1633 + x1636 + x1637 + x1638 =E= 1;
e667.. - x1398 - x1613 - x1636 + x1639 + x1640 + x1641 =E= 1;
e668.. - x1401 - x1616 - x1639 + x1642 + x1643 + x1644 =E= 1;
e669.. - x1404 - x1619 - x1642 + x1645 + x1646 + x1647 =E= 1;
e670.. - x1645 - x2291 - x2306 + x2308 + x2309 + x2940 + x2941 =E= 1;
e671.. - x1407 - x1622 + x1648 + x1649 + x1650 + x2942 + x2943 =E= 1;
e672.. - x1410 - x1625 - x1648 + x1651 + x1652 + x1653 =E= 1;
e673.. - x1413 - x1628 - x1651 + x1654 + x1655 + x1656 =E= 1;
e674.. - x1416 - x1631 - x1654 + x1657 + x1658 + x1659 =E= 1;
e675.. - x1419 - x1634 - x1657 + x1660 + x1661 + x1662 =E= 1;
e676.. - x1422 - x1637 - x1660 + x1663 + x1664 + x1665 =E= 1;
e677.. - x1425 - x1640 - x1663 + x1666 + x1667 + x1668 =E= 1;
e678.. - x1428 - x1643 - x1666 + x1669 + x1670 + x1671 =E= 1;
e679.. - x1431 - x1646 - x1669 + x1672 + x1673 + x1674 =E= 1;
e680.. - x1672 - x2293 - x2308 + x2310 + x2311 + x2944 + x2945 =E= 1;
e681.. - x1434 - x1649 + x1675 + x1676 + x1677 + x2946 + x2947 =E= 1;
e682.. - x1437 - x1652 - x1675 + x1678 + x1679 + x1680 =E= 1;
e683.. - x1440 - x1655 - x1678 + x1681 + x1682 + x1683 =E= 1;
e684.. - x1443 - x1658 - x1681 + x1684 + x1685 + x1686 =E= 1;
e685.. - x1446 - x1661 - x1684 + x1687 + x1688 + x1689 =E= 1;
e686.. - x1449 - x1664 - x1687 + x1690 + x1691 + x1692 =E= 1;
e687.. - x1452 - x1667 - x1690 + x1693 + x1694 + x1695 =E= 1;
e688.. - x1455 - x1670 - x1693 + x1696 + x1697 + x1698 =E= 1;
e689.. - x1458 - x1673 - x1696 + x1699 + x1700 + x1701 =E= 1;
e690.. - x1699 - x2295 - x2310 + x2312 + x2313 + x2948 + x2949 =E= 1;
e691.. - x1676 - x2441 + x2458 + x2459 + x2950 + x2951 + x3316 + x3317 =E= 1;
e692.. - x1679 - x2443 - x2458 + x2460 + x2461 + x3320 + x3321 =E= 1;
e693.. - x1682 - x2445 - x2460 + x2462 + x2463 + x3324 + x3325 =E= 1;
e694.. - x1685 - x2447 - x2462 + x2464 + x2465 + x3328 + x3329 =E= 1;
e695.. - x1688 - x2449 - x2464 + x2466 + x2467 + x3332 + x3333 =E= 1;
e696.. - x1691 - x2451 - x2466 + x2468 + x2469 + x3336 + x3337 =E= 1;
e697.. - x1694 - x2453 - x2468 + x2470 + x2471 + x3340 + x3341 =E= 1;
e698.. - x1697 - x2455 - x2470 + x2472 + x2473 + x3344 + x3345 =E= 1;
e699.. - x1700 - x2457 - x2472 + x2474 + x2475 + x3348 + x3349 =E= 1;
e700.. - x2312 - x2474 + x2952 + x2953 + x3352 + x3353 =E= 1;
e701.. - x1461 + x1702 + x1703 + x1704 + x2954 + x2955 + x3354 + x3355 =E= 1;
e702.. - x1464 - x1702 + x1705 + x1706 + x1707 + x3358 + x3359 =E= 1;
e703.. - x1467 - x1705 + x1708 + x1709 + x1710 + x3362 + x3363 =E= 1;
e704.. - x1470 - x1708 + x1711 + x1712 + x1713 + x3366 + x3367 =E= 1;
e705.. - x1473 - x1711 + x1714 + x1715 + x1716 + x3370 + x3371 =E= 1;
e706.. - x1476 - x1714 + x1717 + x1718 + x1719 + x3374 + x3375 =E= 1;
e707.. - x1479 - x1717 + x1720 + x1721 + x1722 + x3378 + x3379 =E= 1;
e708.. - x1482 - x1720 + x1723 + x1724 + x1725 + x3382 + x3383 =E= 1;
e709.. - x1485 - x1723 + x1726 + x1727 + x1728 + x3386 + x3387 =E= 1;
e710.. - x1726 - x2297 + x2314 + x2315 + x2956 + x2957 + x3390 + x3391 =E= 1;
e711.. - x1488 - x1703 + x1729 + x1730 + x1731 + x2958 + x2959 =E= 1;
e712.. - x1491 - x1706 - x1729 + x1732 + x1733 + x1734 =E= 1;
e713.. - x1494 - x1709 - x1732 + x1735 + x1736 + x1737 =E= 1;
e714.. - x1497 - x1712 - x1735 + x1738 + x1739 + x1740 =E= 1;
e715.. - x1500 - x1715 - x1738 + x1741 + x1742 + x1743 =E= 1;
e716.. - x1503 - x1718 - x1741 + x1744 + x1745 + x1746 =E= 1;
e717.. - x1506 - x1721 - x1744 + x1747 + x1748 + x1749 =E= 1;
e718.. - x1509 - x1724 - x1747 + x1750 + x1751 + x1752 =E= 1;
e719.. - x1512 - x1727 - x1750 + x1753 + x1754 + x1755 =E= 1;
e720.. - x1753 - x2299 - x2314 + x2316 + x2317 + x2960 + x2961 =E= 1;
e721.. - x1515 - x1730 + x1756 + x1757 + x1758 + x2962 + x2963 =E= 1;
e722.. - x1518 - x1733 - x1756 + x1759 + x1760 + x1761 =E= 1;
e723.. - x1521 - x1736 - x1759 + x1762 + x1763 + x1764 =E= 1;
e724.. - x1524 - x1739 - x1762 + x1765 + x1766 + x1767 =E= 1;
e725.. - x1527 - x1742 - x1765 + x1768 + x1769 + x1770 =E= 1;
e726.. - x1530 - x1745 - x1768 + x1771 + x1772 + x1773 =E= 1;
e727.. - x1533 - x1748 - x1771 + x1774 + x1775 + x1776 =E= 1;
e728.. - x1536 - x1751 - x1774 + x1777 + x1778 + x1779 =E= 1;
e729.. - x1539 - x1754 - x1777 + x1780 + x1781 + x1782 =E= 1;
e730.. - x1780 - x2301 - x2316 + x2318 + x2319 + x2964 + x2965 =E= 1;
e731.. - x1542 - x1757 + x1783 + x1784 + x1785 + x2966 + x2967 =E= 1;
e732.. - x1545 - x1760 - x1783 + x1786 + x1787 + x1788 =E= 1;
e733.. - x1548 - x1763 - x1786 + x1789 + x1790 + x1791 =E= 1;
e734.. - x1551 - x1766 - x1789 + x1792 + x1793 + x1794 =E= 1;
e735.. - x1554 - x1769 - x1792 + x1795 + x1796 + x1797 =E= 1;
e736.. - x1557 - x1772 - x1795 + x1798 + x1799 + x1800 =E= 1;
e737.. - x1560 - x1775 - x1798 + x1801 + x1802 + x1803 =E= 1;
e738.. - x1563 - x1778 - x1801 + x1804 + x1805 + x1806 =E= 1;
e739.. - x1566 - x1781 - x1804 + x1807 + x1808 + x1809 =E= 1;
e740.. - x1807 - x2303 - x2318 + x2320 + x2321 + x2968 + x2969 =E= 1;
e741.. - x1569 - x1784 + x1810 + x1811 + x1812 + x2970 + x2971 =E= 1;
e742.. - x1572 - x1787 - x1810 + x1813 + x1814 + x1815 =E= 1;
e743.. - x1575 - x1790 - x1813 + x1816 + x1817 + x1818 =E= 1;
e744.. - x1578 - x1793 - x1816 + x1819 + x1820 + x1821 =E= 1;
e745.. - x1581 - x1796 - x1819 + x1822 + x1823 + x1824 =E= 1;
e746.. - x1584 - x1799 - x1822 + x1825 + x1826 + x1827 =E= 1;
e747.. - x1587 - x1802 - x1825 + x1828 + x1829 + x1830 =E= 1;
e748.. - x1590 - x1805 - x1828 + x1831 + x1832 + x1833 =E= 1;
e749.. - x1593 - x1808 - x1831 + x1834 + x1835 + x1836 =E= 1;
e750.. - x1834 - x2305 - x2320 + x2322 + x2323 + x2972 + x2973 =E= 1;
e751.. - x1596 - x1811 + x1837 + x1838 + x1839 + x2974 + x2975 =E= 1;
e752.. - x1599 - x1814 - x1837 + x1840 + x1841 + x1842 =E= 1;
e753.. - x1602 - x1817 - x1840 + x1843 + x1844 + x1845 =E= 1;
e754.. - x1605 - x1820 - x1843 + x1846 + x1847 + x1848 =E= 1;
e755.. - x1608 - x1823 - x1846 + x1849 + x1850 + x1851 =E= 1;
e756.. - x1611 - x1826 - x1849 + x1852 + x1853 + x1854 =E= 1;
e757.. - x1614 - x1829 - x1852 + x1855 + x1856 + x1857 =E= 1;
e758.. - x1617 - x1832 - x1855 + x1858 + x1859 + x1860 =E= 1;
e759.. - x1620 - x1835 - x1858 + x1861 + x1862 + x1863 =E= 1;
e760.. - x1861 - x2307 - x2322 + x2324 + x2325 + x2976 + x2977 =E= 1;
e761.. - x1623 - x1838 + x1864 + x1865 + x1866 + x2978 + x2979 =E= 1;
e762.. - x1626 - x1841 - x1864 + x1867 + x1868 + x1869 =E= 1;
e763.. - x1629 - x1844 - x1867 + x1870 + x1871 + x1872 =E= 1;
e764.. - x1632 - x1847 - x1870 + x1873 + x1874 + x1875 =E= 1;
e765.. - x1635 - x1850 - x1873 + x1876 + x1877 + x1878 =E= 1;
e766.. - x1638 - x1853 - x1876 + x1879 + x1880 + x1881 =E= 1;
e767.. - x1641 - x1856 - x1879 + x1882 + x1883 + x1884 =E= 1;
e768.. - x1644 - x1859 - x1882 + x1885 + x1886 + x1887 =E= 1;
e769.. - x1647 - x1862 - x1885 + x1888 + x1889 + x1890 =E= 1;
e770.. - x1888 - x2309 - x2324 + x2326 + x2327 + x2980 + x2981 =E= 1;
e771.. - x1650 - x1865 + x1891 + x1892 + x1893 + x2982 + x2983 =E= 1;
e772.. - x1653 - x1868 - x1891 + x1894 + x1895 + x1896 =E= 1;
e773.. - x1656 - x1871 - x1894 + x1897 + x1898 + x1899 =E= 1;
e774.. - x1659 - x1874 - x1897 + x1900 + x1901 + x1902 =E= 1;
e775.. - x1662 - x1877 - x1900 + x1903 + x1904 + x1905 =E= 1;
e776.. - x1665 - x1880 - x1903 + x1906 + x1907 + x1908 =E= 1;
e777.. - x1668 - x1883 - x1906 + x1909 + x1910 + x1911 =E= 1;
e778.. - x1671 - x1886 - x1909 + x1912 + x1913 + x1914 =E= 1;
e779.. - x1674 - x1889 - x1912 + x1915 + x1916 + x1917 =E= 1;
e780.. - x1915 - x2311 - x2326 + x2328 + x2329 + x2984 + x2985 =E= 1;
e781.. - x1677 - x1892 + x1918 + x1919 + x1920 + x2986 + x2987 =E= 1;
e782.. - x1680 - x1895 - x1918 + x1921 + x1922 + x1923 =E= 1;
e783.. - x1683 - x1898 - x1921 + x1924 + x1925 + x1926 =E= 1;
e784.. - x1686 - x1901 - x1924 + x1927 + x1928 + x1929 =E= 1;
e785.. - x1689 - x1904 - x1927 + x1930 + x1931 + x1932 =E= 1;
e786.. - x1692 - x1907 - x1930 + x1933 + x1934 + x1935 =E= 1;
e787.. - x1695 - x1910 - x1933 + x1936 + x1937 + x1938 =E= 1;
e788.. - x1698 - x1913 - x1936 + x1939 + x1940 + x1941 =E= 1;
e789.. - x1701 - x1916 - x1939 + x1942 + x1943 + x1944 =E= 1;
e790.. - x1942 - x2313 - x2328 + x2330 + x2331 + x2988 + x2989 =E= 1;
e791.. - x1919 - x2459 + x2476 + x2477 + x2990 + x2991 + x3356 + x3357 =E= 1;
e792.. - x1922 - x2461 - x2476 + x2478 + x2479 + x3360 + x3361 =E= 1;
e793.. - x1925 - x2463 - x2478 + x2480 + x2481 + x3364 + x3365 =E= 1;
e794.. - x1928 - x2465 - x2480 + x2482 + x2483 + x3368 + x3369 =E= 1;
e795.. - x1931 - x2467 - x2482 + x2484 + x2485 + x3372 + x3373 =E= 1;
e796.. - x1934 - x2469 - x2484 + x2486 + x2487 + x3376 + x3377 =E= 1;
e797.. - x1937 - x2471 - x2486 + x2488 + x2489 + x3380 + x3381 =E= 1;
e798.. - x1940 - x2473 - x2488 + x2490 + x2491 + x3384 + x3385 =E= 1;
e799.. - x1943 - x2475 - x2490 + x2492 + x2493 + x3388 + x3389 =E= 1;
e800.. - x2330 - x2492 + x2992 + x2993 + x3392 + x3393 =E= 1;
e801.. - x1704 + x1945 + x1946 + x1947 + x2994 + x2995 + x3394 + x3395 =E= 1;
e802.. - x1707 - x1945 + x1948 + x1949 + x1950 + x3398 + x3399 =E= 1;
e803.. - x1710 - x1948 + x1951 + x1952 + x1953 + x3402 + x3403 =E= 1;
e804.. - x1713 - x1951 + x1954 + x1955 + x1956 + x3406 + x3407 =E= 1;
e805.. - x1716 - x1954 + x1957 + x1958 + x1959 + x3410 + x3411 =E= 1;
e806.. - x1719 - x1957 + x1960 + x1961 + x1962 + x3414 + x3415 =E= 1;
e807.. - x1722 - x1960 + x1963 + x1964 + x1965 + x3418 + x3419 =E= 1;
e808.. - x1725 - x1963 + x1966 + x1967 + x1968 + x3422 + x3423 =E= 1;
e809.. - x1728 - x1966 + x1969 + x1970 + x1971 + x3426 + x3427 =E= 1;
e810.. - x1969 - x2315 + x2332 + x2333 + x2996 + x2997 + x3430 + x3431 =E= 1;
e811.. - x1731 - x1946 + x1972 + x1973 + x1974 + x2998 + x2999 =E= 1;
e812.. - x1734 - x1949 - x1972 + x1975 + x1976 + x1977 =E= 1;
e813.. - x1737 - x1952 - x1975 + x1978 + x1979 + x1980 =E= 1;
e814.. - x1740 - x1955 - x1978 + x1981 + x1982 + x1983 =E= 1;
e815.. - x1743 - x1958 - x1981 + x1984 + x1985 + x1986 =E= 1;
e816.. - x1746 - x1961 - x1984 + x1987 + x1988 + x1989 =E= 1;
e817.. - x1749 - x1964 - x1987 + x1990 + x1991 + x1992 =E= 1;
e818.. - x1752 - x1967 - x1990 + x1993 + x1994 + x1995 =E= 1;
e819.. - x1755 - x1970 - x1993 + x1996 + x1997 + x1998 =E= 1;
e820.. - x1996 - x2317 - x2332 + x2334 + x2335 + x3000 + x3001 =E= 1;
e821.. - x1758 - x1973 + x1999 + x2000 + x2001 + x3002 + x3003 =E= 1;
e822.. - x1761 - x1976 - x1999 + x2002 + x2003 + x2004 =E= 1;
e823.. - x1764 - x1979 - x2002 + x2005 + x2006 + x2007 =E= 1;
e824.. - x1767 - x1982 - x2005 + x2008 + x2009 + x2010 =E= 1;
e825.. - x1770 - x1985 - x2008 + x2011 + x2012 + x2013 =E= 1;
e826.. - x1773 - x1988 - x2011 + x2014 + x2015 + x2016 =E= 1;
e827.. - x1776 - x1991 - x2014 + x2017 + x2018 + x2019 =E= 1;
e828.. - x1779 - x1994 - x2017 + x2020 + x2021 + x2022 =E= 1;
e829.. - x1782 - x1997 - x2020 + x2023 + x2024 + x2025 =E= 1;
e830.. - x2023 - x2319 - x2334 + x2336 + x2337 + x3004 + x3005 =E= 1;
e831.. - x1785 - x2000 + x2026 + x2027 + x2028 + x3006 + x3007 =E= 1;
e832.. - x1788 - x2003 - x2026 + x2029 + x2030 + x2031 =E= 1;
e833.. - x1791 - x2006 - x2029 + x2032 + x2033 + x2034 =E= 1;
e834.. - x1794 - x2009 - x2032 + x2035 + x2036 + x2037 =E= 1;
e835.. - x1797 - x2012 - x2035 + x2038 + x2039 + x2040 =E= 1;
e836.. - x1800 - x2015 - x2038 + x2041 + x2042 + x2043 =E= 1;
e837.. - x1803 - x2018 - x2041 + x2044 + x2045 + x2046 =E= 1;
e838.. - x1806 - x2021 - x2044 + x2047 + x2048 + x2049 =E= 1;
e839.. - x1809 - x2024 - x2047 + x2050 + x2051 + x2052 =E= 1;
e840.. - x2050 - x2321 - x2336 + x2338 + x2339 + x3008 + x3009 =E= 1;
e841.. - x1812 - x2027 + x2053 + x2054 + x2055 + x3010 + x3073 =E= 1;
e842.. - x1815 - x2030 - x2053 + x2056 + x2057 + x2058 =E= 1;
e843.. - x1818 - x2033 - x2056 + x2059 + x2060 + x2061 =E= 1;
e844.. - x1821 - x2036 - x2059 + x2062 + x2063 + x2064 =E= 1;
e845.. - x1824 - x2039 - x2062 + x2065 + x2066 + x2067 =E= 1;
e846.. - x1827 - x2042 - x2065 + x2068 + x2069 + x2070 =E= 1;
e847.. - x1830 - x2045 - x2068 + x2071 + x2072 + x2073 =E= 1;
e848.. - x1833 - x2048 - x2071 + x2074 + x2075 + x2076 =E= 1;
e849.. - x1836 - x2051 - x2074 + x2077 + x2078 + x2079 =E= 1;
e850.. - x2077 - x2323 - x2338 + x2340 + x2341 + x3011 + x3012 =E= 1;
e851.. - x1839 - x2054 + x2080 + x2081 + x2082 + x3013 + x3014 =E= 1;
e852.. - x1842 - x2057 - x2080 + x2083 + x2084 + x2085 =E= 1;
e853.. - x1845 - x2060 - x2083 + x2086 + x2087 + x2088 =E= 1;
e854.. - x1848 - x2063 - x2086 + x2089 + x2090 + x2091 =E= 1;
e855.. - x1851 - x2066 - x2089 + x2092 + x2093 + x2094 =E= 1;
e856.. - x1854 - x2069 - x2092 + x2095 + x2096 + x2097 =E= 1;
e857.. - x1857 - x2072 - x2095 + x2098 + x2099 + x2100 =E= 1;
e858.. - x1860 - x2075 - x2098 + x2101 + x2102 + x2103 =E= 1;
e859.. - x1863 - x2078 - x2101 + x2104 + x2105 + x2106 =E= 1;
e860.. - x2104 - x2325 - x2340 + x2342 + x2343 + x3015 + x3016 =E= 1;
e861.. - x1866 - x2081 + x2107 + x2108 + x2109 + x3018 + x3019 =E= 1;
e862.. - x1869 - x2084 - x2107 + x2110 + x2111 + x2112 =E= 1;
e863.. - x1872 - x2087 - x2110 + x2113 + x2114 + x2115 =E= 1;
e864.. - x1875 - x2090 - x2113 + x2116 + x2117 + x2118 =E= 1;
e865.. - x1878 - x2093 - x2116 + x2119 + x2120 + x2121 =E= 1;
e866.. - x1881 - x2096 - x2119 + x2122 + x2123 + x2124 =E= 1;
e867.. - x1884 - x2099 - x2122 + x2125 + x2126 + x2127 =E= 1;
e868.. - x1887 - x2102 - x2125 + x2128 + x2129 + x2130 =E= 1;
e869.. - x1890 - x2105 - x2128 + x2131 + x2132 + x2133 =E= 1;
e870.. - x2131 - x2327 - x2342 + x2344 + x2345 + x3020 + x3021 =E= 1;
e871.. - x1893 - x2108 + x2134 + x2135 + x2136 + x3022 + x3023 =E= 1;
e872.. - x1896 - x2111 - x2134 + x2137 + x2138 + x2139 =E= 1;
e873.. - x1899 - x2114 - x2137 + x2140 + x2141 + x2142 =E= 1;
e874.. - x1902 - x2117 - x2140 + x2143 + x2144 + x2145 =E= 1;
e875.. - x1905 - x2120 - x2143 + x2146 + x2147 + x2148 =E= 1;
e876.. - x1908 - x2123 - x2146 + x2149 + x2150 + x2151 =E= 1;
e877.. - x1911 - x2126 - x2149 + x2152 + x2153 + x2154 =E= 1;
e878.. - x1914 - x2129 - x2152 + x2155 + x2156 + x2157 =E= 1;
e879.. - x1917 - x2132 - x2155 + x2158 + x2159 + x2160 =E= 1;
e880.. - x2158 - x2329 - x2344 + x2346 + x2347 + x3024 + x3025 =E= 1;
e881.. - x1920 - x2135 + x2161 + x2162 + x2163 + x3026 + x3027 =E= 1;
e882.. - x1923 - x2138 - x2161 + x2164 + x2165 + x2166 =E= 1;
e883.. - x1926 - x2141 - x2164 + x2167 + x2168 + x2169 =E= 1;
e884.. - x1929 - x2144 - x2167 + x2170 + x2171 + x2172 =E= 1;
e885.. - x1932 - x2147 - x2170 + x2173 + x2174 + x2175 =E= 1;
e886.. - x1935 - x2150 - x2173 + x2176 + x2177 + x2178 =E= 1;
e887.. - x1938 - x2153 - x2176 + x2179 + x2180 + x2181 =E= 1;
e888.. - x1941 - x2156 - x2179 + x2182 + x2183 + x2184 =E= 1;
e889.. - x1944 - x2159 - x2182 + x2185 + x2186 + x2187 =E= 1;
e890.. - x2185 - x2331 - x2346 + x2348 + x2349 + x3028 + x3029 =E= 1;
e891.. - x2162 - x2477 + x2494 + x2495 + x3030 + x3031 + x3396 + x3397 =E= 1;
e892.. - x2165 - x2479 - x2494 + x2496 + x2497 + x3400 + x3401 =E= 1;
e893.. - x2168 - x2481 - x2496 + x2498 + x2499 + x3404 + x3405 =E= 1;
e894.. - x2171 - x2483 - x2498 + x2500 + x2501 + x3408 + x3409 =E= 1;
e895.. - x2174 - x2485 - x2500 + x2502 + x2503 + x3412 + x3413 =E= 1;
e896.. - x2177 - x2487 - x2502 + x2504 + x2505 + x3416 + x3417 =E= 1;
e897.. - x2180 - x2489 - x2504 + x2506 + x2507 + x3420 + x3421 =E= 1;
e898.. - x2183 - x2491 - x2506 + x2508 + x2509 + x3424 + x3425 =E= 1;
e899.. - x2186 - x2493 - x2508 + x2510 + x2511 + x3428 + x3429 =E= 1;
e900.. - x2348 - x2510 + x3032 + x3033 + x3432 + x3433 =E= 1;
e901.. - x1947 + x2512 + x2513 + x3034 + x3035 + x3434 + x3435 + x3476 + x3477
=E= 1;
e902.. - x1950 - x2512 + x2514 + x2515 + x3438 + x3439 + x3480 + x3481 =E= 1;
e903.. - x1953 - x2514 + x2516 + x2517 + x3442 + x3443 + x3484 + x3485 =E= 1;
e904.. - x1956 - x2516 + x2518 + x2519 + x3446 + x3447 + x3488 + x3489 =E= 1;
e905.. - x1959 - x2518 + x2520 + x2521 + x3450 + x3451 + x3492 + x3493 =E= 1;
e906.. - x1962 - x2520 + x2522 + x2523 + x3454 + x3455 + x3496 + x3497 =E= 1;
e907.. - x1965 - x2522 + x2524 + x2525 + x3458 + x3459 + x3500 + x3501 =E= 1;
e908.. - x1968 - x2524 + x2526 + x2527 + x3462 + x3463 + x3504 + x3505 =E= 1;
e909.. - x1971 - x2526 + x2528 + x2529 + x3466 + x3467 + x3508 + x3509 =E= 1;
e910.. - x2333 - x2528 + x3036 + x3037 + x3470 + x3471 + x3512 + x3513 =E= 1;
e911.. - x1974 - x2513 + x2530 + x2531 + x3039 + x3040 + x3516 + x3517 =E= 1;
e912.. - x1977 - x2515 - x2530 + x2532 + x2533 + x3520 + x3522 =E= 1;
e913.. - x1980 - x2517 - x2532 + x2534 + x2535 + x3525 + x3526 =E= 1;
e914.. - x1983 - x2519 - x2534 + x2536 + x2537 + x3529 + x3530 =E= 1;
e915.. - x1986 - x2521 - x2536 + x2538 + x2539 + x3533 + x3534 =E= 1;
e916.. - x1989 - x2523 - x2538 + x2540 + x2541 + x3537 + x3538 =E= 1;
e917.. - x1992 - x2525 - x2540 + x2542 + x2543 + x3521 + x3541 =E= 1;
e918.. - x1995 - x2527 - x2542 + x2544 + x2545 + x3545 + x3546 =E= 1;
e919.. - x1998 - x2529 - x2544 + x2546 + x2547 + x3549 + x3550 =E= 1;
e920.. - x2335 - x2546 + x3041 + x3042 + x3553 + x3554 =E= 1;
e921.. - x2001 - x2531 + x2548 + x2549 + x3043 + x3044 + x3557 + x3558 =E= 1;
e922.. - x2004 - x2533 - x2548 + x2550 + x2551 + x3561 + x3562 =E= 1;
e923.. - x2007 - x2535 - x2550 + x2552 + x2553 + x3565 + x3566 =E= 1;
e924.. - x2010 - x2537 - x2552 + x2554 + x2555 + x3569 + x3570 =E= 1;
e925.. - x2013 - x2539 - x2554 + x2556 + x2557 + x3573 + x3574 =E= 1;
e926.. - x2016 - x2541 - x2556 + x2558 + x2559 + x3577 + x3578 =E= 1;
e927.. - x2019 - x2543 - x2558 + x2560 + x2561 + x3581 + x3582 =E= 1;
e928.. - x2022 - x2545 - x2560 + x2562 + x2563 + x3585 + x3586 =E= 1;
e929.. - x2025 - x2547 - x2562 + x2564 + x2565 + x3589 + x3590 =E= 1;
e930.. - x2337 - x2564 + x3045 + x3046 + x3593 + x3594 =E= 1;
e931.. - x2028 - x2549 + x2566 + x2567 + x3047 + x3048 + x3597 + x3598 =E= 1;
e932.. - x2031 - x2551 - x2566 + x2568 + x2569 + x3601 + x3602 =E= 1;
e933.. - x2034 - x2553 - x2568 + x2570 + x2571 + x3605 + x3606 =E= 1;
e934.. - x2037 - x2555 - x2570 + x2572 + x2573 + x3609 + x3610 =E= 1;
e935.. - x2040 - x2557 - x2572 + x2574 + x2575 + x3613 + x3614 =E= 1;
e936.. - x2043 - x2559 - x2574 + x2576 + x2577 + x3617 + x3618 =E= 1;
e937.. - x2046 - x2561 - x2576 + x2578 + x2579 + x3621 + x3622 =E= 1;
e938.. - x2049 - x2563 - x2578 + x2580 + x2581 + x3625 + x3626 =E= 1;
e939.. - x2052 - x2565 - x2580 + x2582 + x2583 + x3629 + x3630 =E= 1;
e940.. - x2339 - x2582 + x3049 + x3050 + x3633 + x3634 =E= 1;
e941.. - x2055 - x2567 + x2584 + x2585 + x3051 + x3052 + x3637 + x3638 =E= 1;
e942.. - x2058 - x2569 - x2584 + x2586 + x2587 + x3641 + x3642 =E= 1;
e943.. - x2061 - x2571 - x2586 + x2588 + x2589 + x3645 + x3646 =E= 1;
e944.. - x2064 - x2573 - x2588 + x2590 + x2591 + x3649 + x3650 =E= 1;
e945.. - x2067 - x2575 - x2590 + x2592 + x2593 + x3543 + x3653 =E= 1;
e946.. - x2070 - x2577 - x2592 + x2594 + x2595 + x3656 + x3657 =E= 1;
e947.. - x2073 - x2579 - x2594 + x2596 + x2597 + x3660 + x3661 =E= 1;
e948.. - x2076 - x2581 - x2596 + x2598 + x2599 + x3664 + x3665 =E= 1;
e949.. - x2079 - x2583 - x2598 + x2600 + x2601 + x3668 + x3669 =E= 1;
e950.. - x2341 - x2600 + x3053 + x3054 + x3672 + x3673 =E= 1;
e951.. - x2082 - x2585 + x2602 + x2603 + x3055 + x3056 + x3676 + x3677 =E= 1;
e952.. - x2085 - x2587 - x2602 + x2604 + x2605 + x3680 + x3681 =E= 1;
e953.. - x2088 - x2589 - x2604 + x2606 + x2607 + x3684 + x3685 =E= 1;
e954.. - x2091 - x2591 - x2606 + x2608 + x2609 + x3688 + x3689 =E= 1;
e955.. - x2094 - x2593 - x2608 + x2610 + x2611 + x3692 + x3693 =E= 1;
e956.. - x2097 - x2595 - x2610 + x2612 + x2613 + x3696 + x3697 =E= 1;
e957.. - x2100 - x2597 - x2612 + x2614 + x2615 + x3700 + x3701 =E= 1;
e958.. - x2103 - x2599 - x2614 + x2616 + x2617 + x3704 + x3705 =E= 1;
e959.. - x2106 - x2601 - x2616 + x2618 + x2619 + x3708 + x3709 =E= 1;
e960.. - x2343 - x2618 + x3057 + x3058 + x3712 + x3713 =E= 1;
e961.. - x2109 - x2603 + x2620 + x2621 + x3060 + x3061 + x3716 + x3717 =E= 1;
e962.. - x2112 - x2605 - x2620 + x2622 + x2623 + x3720 + x3721 =E= 1;
e963.. - x2115 - x2607 - x2622 + x2624 + x2625 + x3724 + x3725 =E= 1;
e964.. - x2118 - x2609 - x2624 + x2626 + x2627 + x3728 + x3729 =E= 1;
e965.. - x2121 - x2611 - x2626 + x2628 + x2629 + x3732 + x3733 =E= 1;
e966.. - x2124 - x2613 - x2628 + x2630 + x2631 + x3736 + x3737 =E= 1;
e967.. - x2127 - x2615 - x2630 + x2632 + x2633 + x3740 + x3741 =E= 1;
e968.. - x2130 - x2617 - x2632 + x2634 + x2635 + x3744 + x3745 =E= 1;
e969.. - x2133 - x2619 - x2634 + x2636 + x2637 + x3748 + x3749 =E= 1;
e970.. - x2345 - x2636 + x3062 + x3063 + x3752 + x3753 =E= 1;
e971.. - x2136 - x2621 + x2638 + x2639 + x3064 + x3065 + x3756 + x3757 =E= 1;
e972.. - x2139 - x2623 - x2638 + x2640 + x2641 + x3760 + x3761 =E= 1;
e973.. - x2142 - x2625 - x2640 + x2642 + x2643 + x3764 + x3765 =E= 1;
e974.. - x2145 - x2627 - x2642 + x2644 + x2645 + x3768 + x3769 =E= 1;
e975.. - x2148 - x2629 - x2644 + x2646 + x2647 + x3772 + x3773 =E= 1;
e976.. - x2151 - x2631 - x2646 + x2648 + x2649 + x3776 + x3777 =E= 1;
e977.. - x2154 - x2633 - x2648 + x2650 + x2651 + x3780 + x3781 =E= 1;
e978.. - x2157 - x2635 - x2650 + x2652 + x2653 + x3784 + x3785 =E= 1;
e979.. - x2160 - x2637 - x2652 + x2654 + x2655 + x3788 + x3789 =E= 1;
e980.. - x2347 - x2654 + x3066 + x3067 + x3792 + x3793 =E= 1;
e981.. - x2163 - x2639 + x2656 + x2657 + x3068 + x3069 + x3796 + x3797 =E= 1;
e982.. - x2166 - x2641 - x2656 + x2658 + x2659 + x3800 + x3801 =E= 1;
e983.. - x2169 - x2643 - x2658 + x2660 + x2661 + x3803 + x3804 =E= 1;
e984.. - x2172 - x2645 - x2660 + x2662 + x2663 + x3807 + x3808 =E= 1;
e985.. - x2175 - x2647 - x2662 + x2664 + x2665 + x3810 + x3811 =E= 1;
e986.. - x2178 - x2649 - x2664 + x2666 + x2667 + x3814 + x3815 =E= 1;
e987.. - x2181 - x2651 - x2666 + x2668 + x2669 + x3817 + x3818 =E= 1;
e988.. - x2184 - x2653 - x2668 + x2670 + x2671 + x3821 + x3822 =E= 1;
e989.. - x2187 - x2655 - x2670 + x2672 + x2673 + x3824 + x3825 =E= 1;
e990.. - x2349 - x2672 + x3070 + x3071 + x3828 + x3829 =E= 1;
e991.. - x2495 - x2657 + x3072 + x3074 + x3436 + x3437 + x3832 + x3833 =E= 1;
e992.. - x2497 - x2659 + x3440 + x3441 + x3836 + x3837 =E= 1;
e993.. - x2499 - x2661 + x3444 + x3445 + x3840 + x3841 =E= 1;
e994.. - x2501 - x2663 + x3448 + x3449 + x3844 + x3845 =E= 1;
e995.. - x2503 - x2665 + x3452 + x3453 + x3848 + x3849 =E= 1;
e996.. - x2505 - x2667 + x3456 + x3457 + x3852 + x3853 =E= 1;
e997.. - x2507 - x2669 + x3460 + x3461 + x3856 + x3857 =E= 1;
e998.. - x2509 - x2671 + x3464 + x3465 + x3860 + x3861 =E= 1;
e999.. - x2511 - x2673 + x3468 + x3469 + x3864 + x3865 =E= 1;
e1000.. x3075 + x3076 + x3472 + x3473 + x3868 + x3869 =E= 1;
e1001.. - ((-0.5 + 0.5*x1)*(-1 + x1) + (-0.5 + 0.5*x2)*(-1 + x2) + (-0.5 + 0.5
*x3)*(-1 + x3) + (-0.5 + 0.5*x4)*(-1 + x4) + (-0.5 + 0.5*x5)*(-1 + x5)
+ (-0.5 + 0.5*x6)*(-1 + x6) + (-0.5 + 0.5*x7)*(-1 + x7) + (-0.5 + 0.5*
x8)*(-1 + x8) + (-0.5 + 0.5*x9)*(-1 + x9) + (-0.5 + 0.5*x10)*(-1 + x10)
+ (-0.5 + 0.5*x11)*(-1 + x11) + (-0.5 + 0.5*x12)*(-1 + x12) + (-0.5 +
0.5*x13)*(-1 + x13) + (-0.5 + 0.5*x14)*(-1 + x14) + (-0.5 + 0.5*x15)*(-
1 + x15) + (-0.5 + 0.5*x16)*(-1 + x16) + (-0.5 + 0.5*x17)*(-1 + x17) +
(-0.5 + 0.5*x18)*(-1 + x18) + (-0.5 + 0.5*x19)*(-1 + x19) + (-0.5 + 0.5
*x20)*(-1 + x20) + (-0.5 + 0.5*x21)*(-1 + x21) + (-0.5 + 0.5*x22)*(-1
+ x22) + (-0.5 + 0.5*x23)*(-1 + x23) + (-0.5 + 0.5*x24)*(-1 + x24) + (
-0.5 + 0.5*x25)*(-1 + x25) + (-0.5 + 0.5*x26)*(-1 + x26) + (-0.5 + 0.5*
x27)*(-1 + x27) + (-0.5 + 0.5*x28)*(-1 + x28) + (-0.5 + 0.5*x29)*(-1 +
x29) + (-0.5 + 0.5*x30)*(-1 + x30) + (-0.5 + 0.5*x31)*(-1 + x31) + (-
0.5 + 0.5*x32)*(-1 + x32) + (-0.5 + 0.5*x33)*(-1 + x33) + (-0.5 + 0.5*
x34)*(-1 + x34) + (-0.5 + 0.5*x35)*(-1 + x35) + (-0.5 + 0.5*x36)*(-1 +
x36) + (-0.5 + 0.5*x37)*(-1 + x37) + (-0.5 + 0.5*x38)*(-1 + x38) + (-
0.5 + 0.5*x39)*(-1 + x39) + (-0.5 + 0.5*x40)*(-1 + x40) + (-0.5 + 0.5*
x41)*(-1 + x41) + (-0.5 + 0.5*x42)*(-1 + x42) + (-0.5 + 0.5*x43)*(-1 +
x43) + (-0.5 + 0.5*x44)*(-1 + x44) + (-0.5 + 0.5*x45)*(-1 + x45) + (-
0.5 + 0.5*x46)*(-1 + x46) + (-0.5 + 0.5*x47)*(-1 + x47) + (-0.5 + 0.5*
x48)*(-1 + x48) + (-0.5 + 0.5*x49)*(-1 + x49) + (-0.5 + 0.5*x50)*(-1 +
x50) + (-0.5 + 0.5*x51)*(-1 + x51) + (-0.5 + 0.5*x52)*(-1 + x52) + (-
0.5 + 0.5*x53)*(-1 + x53) + (-0.5 + 0.5*x54)*(-1 + x54) + (-0.5 + 0.5*
x55)*(-1 + x55) + (-0.5 + 0.5*x56)*(-1 + x56) + (-0.5 + 0.5*x57)*(-1 +
x57) + (-0.5 + 0.5*x58)*(-1 + x58) + (-0.5 + 0.5*x59)*(-1 + x59) + (-
0.5 + 0.5*x60)*(-1 + x60) + (-0.5 + 0.5*x61)*(-1 + x61) + (-0.5 + 0.5*
x62)*(-1 + x62) + (-0.5 + 0.5*x63)*(-1 + x63) + (-0.5 + 0.5*x64)*(-1 +
x64) + (-0.5 + 0.5*x65)*(-1 + x65) + (-0.5 + 0.5*x66)*(-1 + x66) + (-
0.5 + 0.5*x67)*(-1 + x67) + (-0.5 + 0.5*x68)*(-1 + x68) + (-0.5 + 0.5*
x69)*(-1 + x69) + (-0.5 + 0.5*x70)*(-1 + x70) + (-0.5 + 0.5*x71)*(-1 +
x71) + (-0.5 + 0.5*x72)*(-1 + x72) + (-0.5 + 0.5*x73)*(-1 + x73) + (-
0.5 + 0.5*x74)*(-1 + x74) + (-0.5 + 0.5*x75)*(-1 + x75) + (-0.5 + 0.5*
x76)*(-1 + x76) + (-0.5 + 0.5*x77)*(-1 + x77) + (-0.5 + 0.5*x78)*(-1 +
x78) + (-0.5 + 0.5*x79)*(-1 + x79) + (-0.5 + 0.5*x80)*(-1 + x80) + (-
0.5 + 0.5*x81)*(-1 + x81) + (-0.5 + 0.5*x82)*(-1 + x82) + (-0.5 + 0.5*
x83)*(-1 + x83) + (-0.5 + 0.5*x84)*(-1 + x84) + (-0.5 + 0.5*x85)*(-1 +
x85) + (-0.5 + 0.5*x86)*(-1 + x86) + (-0.5 + 0.5*x87)*(-1 + x87) + (-
0.5 + 0.5*x88)*(-1 + x88) + (-0.5 + 0.5*x89)*(-1 + x89) + (-0.5 + 0.5*
x90)*(-1 + x90) + (-0.5 + 0.5*x91)*(-1 + x91) + (-0.5 + 0.5*x92)*(-1 +
x92) + (-0.5 + 0.5*x93)*(-1 + x93) + (-0.5 + 0.5*x94)*(-1 + x94) + (-
0.5 + 0.5*x95)*(-1 + x95) + (-0.5 + 0.5*x96)*(-1 + x96) + (-0.5 + 0.5*
x97)*(-1 + x97) + (-0.5 + 0.5*x98)*(-1 + x98) + (-0.5 + 0.5*x99)*(-1 +
x99) + (-0.5 + 0.5*x100)*(-1 + x100) + (-0.5 + 0.5*x101)*(-1 + x101) +
(-0.5 + 0.5*x102)*(-1 + x102) + (-0.5 + 0.5*x103)*(-1 + x103) + (-0.5
+ 0.5*x104)*(-1 + x104) + (-0.5 + 0.5*x105)*(-1 + x105) + (-0.5 + 0.5*
x106)*(-1 + x106) + (-0.5 + 0.5*x107)*(-1 + x107) + (-0.5 + 0.5*x108)*(
-1 + x108) + (-0.5 + 0.5*x109)*(-1 + x109) + (-0.5 + 0.5*x110)*(-1 +
x110) + (-0.5 + 0.5*x111)*(-1 + x111) + (-0.5 + 0.5*x112)*(-1 + x112)
+ (-0.5 + 0.5*x113)*(-1 + x113) + (-0.5 + 0.5*x114)*(-1 + x114) + (-
0.5 + 0.5*x115)*(-1 + x115) + (-0.5 + 0.5*x116)*(-1 + x116) + (-0.5 +
0.5*x117)*(-1 + x117) + (-0.5 + 0.5*x118)*(-1 + x118) + (-0.5 + 0.5*
x119)*(-1 + x119) + (-0.5 + 0.5*x120)*(-1 + x120) + (-0.5 + 0.5*x121)*(
-1 + x121) + (-0.5 + 0.5*x122)*(-1 + x122) + (-0.5 + 0.5*x123)*(-1 +
x123) + (-0.5 + 0.5*x124)*(-1 + x124) + (-0.5 + 0.5*x125)*(-1 + x125)
+ (-0.5 + 0.5*x126)*(-1 + x126) + (-0.5 + 0.5*x127)*(-1 + x127) + (-
0.5 + 0.5*x128)*(-1 + x128) + (-0.5 + 0.5*x129)*(-1 + x129) + (-0.5 +
0.5*x130)*(-1 + x130) + (-0.5 + 0.5*x131)*(-1 + x131) + (-0.5 + 0.5*
x132)*(-1 + x132) + (-0.5 + 0.5*x133)*(-1 + x133) + (-0.5 + 0.5*x134)*(
-1 + x134) + (-0.5 + 0.5*x135)*(-1 + x135) + (-0.5 + 0.5*x136)*(-1 +
x136) + (-0.5 + 0.5*x137)*(-1 + x137) + (-0.5 + 0.5*x138)*(-1 + x138)
+ (-0.5 + 0.5*x139)*(-1 + x139) + (-0.5 + 0.5*x140)*(-1 + x140) + (-
0.5 + 0.5*x141)*(-1 + x141) + (-0.5 + 0.5*x142)*(-1 + x142) + (-0.5 +
0.5*x143)*(-1 + x143) + (-0.5 + 0.5*x144)*(-1 + x144) + (-0.5 + 0.5*
x145)*(-1 + x145) + (-0.5 + 0.5*x146)*(-1 + x146) + (-0.5 + 0.5*x147)*(
-1 + x147) + (-0.5 + 0.5*x148)*(-1 + x148) + (-0.5 + 0.5*x149)*(-1 +
x149) + (-0.5 + 0.5*x150)*(-1 + x150) + (-0.5 + 0.5*x151)*(-1 + x151)
+ (-0.5 + 0.5*x152)*(-1 + x152) + (-0.5 + 0.5*x153)*(-1 + x153) + (-
0.5 + 0.5*x154)*(-1 + x154) + (-0.5 + 0.5*x155)*(-1 + x155) + (-0.5 +
0.5*x156)*(-1 + x156) + (-0.5 + 0.5*x157)*(-1 + x157) + (-0.5 + 0.5*
x158)*(-1 + x158) + (-0.5 + 0.5*x159)*(-1 + x159) + (-0.5 + 0.5*x160)*(
-1 + x160) + (-0.5 + 0.5*x161)*(-1 + x161) + (-0.5 + 0.5*x162)*(-1 +
x162) + (-0.5 + 0.5*x163)*(-1 + x163) + (-0.5 + 0.5*x164)*(-1 + x164)
+ (-0.5 + 0.5*x165)*(-1 + x165) + (-0.5 + 0.5*x166)*(-1 + x166) + (-
0.5 + 0.5*x167)*(-1 + x167) + (-0.5 + 0.5*x168)*(-1 + x168) + (-0.5 +
0.5*x169)*(-1 + x169) + (-0.5 + 0.5*x170)*(-1 + x170) + (-0.5 + 0.5*
x171)*(-1 + x171) + (-0.5 + 0.5*x172)*(-1 + x172) + (-0.5 + 0.5*x173)*(
-1 + x173) + (-0.5 + 0.5*x174)*(-1 + x174) + (-0.5 + 0.5*x175)*(-1 +
x175) + (-0.5 + 0.5*x176)*(-1 + x176) + (-0.5 + 0.5*x177)*(-1 + x177)
+ (-0.5 + 0.5*x178)*(-1 + x178) + (-0.5 + 0.5*x179)*(-1 + x179) + (-
0.5 + 0.5*x180)*(-1 + x180) + (-0.5 + 0.5*x181)*(-1 + x181) + (-0.5 +
0.5*x182)*(-1 + x182) + (-0.5 + 0.5*x183)*(-1 + x183) + (-0.5 + 0.5*
x184)*(-1 + x184) + (-0.5 + 0.5*x185)*(-1 + x185) + (-0.5 + 0.5*x186)*(
-1 + x186) + (-0.5 + 0.5*x187)*(-1 + x187) + (-0.5 + 0.5*x188)*(-1 +
x188) + (-0.5 + 0.5*x189)*(-1 + x189) + (-0.5 + 0.5*x190)*(-1 + x190)
+ (-0.5 + 0.5*x191)*(-1 + x191) + (-0.5 + 0.5*x192)*(-1 + x192) + (-
0.5 + 0.5*x193)*(-1 + x193) + (-0.5 + 0.5*x194)*(-1 + x194) + (-0.5 +
0.5*x195)*(-1 + x195) + (-0.5 + 0.5*x196)*(-1 + x196) + (-0.5 + 0.5*
x197)*(-1 + x197) + (-0.5 + 0.5*x198)*(-1 + x198) + (-0.5 + 0.5*x199)*(
-1 + x199) + (-0.5 + 0.5*x200)*(-1 + x200) + (-0.5 + 0.5*x201)*(-1 +
x201) + (-0.5 + 0.5*x202)*(-1 + x202) + (-0.5 + 0.5*x203)*(-1 + x203)
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0.5 + 0.5*x206)*(-1 + x206) + (-0.5 + 0.5*x207)*(-1 + x207) + (-0.5 +
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x214) + (-0.5 + 0.5*x215)*(-1 + x215) + (-0.5 + 0.5*x216)*(-1 + x216)
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0.5 + 0.5*x219)*(-1 + x219) + (-0.5 + 0.5*x220)*(-1 + x220) + (-0.5 +
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x227) + (-0.5 + 0.5*x228)*(-1 + x228) + (-0.5 + 0.5*x229)*(-1 + x229)
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0.5 + 0.5*x232)*(-1 + x232) + (-0.5 + 0.5*x233)*(-1 + x233) + (-0.5 +
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x240) + (-0.5 + 0.5*x241)*(-1 + x241) + (-0.5 + 0.5*x242)*(-1 + x242)
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0.5 + 0.5*x245)*(-1 + x245) + (-0.5 + 0.5*x246)*(-1 + x246) + (-0.5 +
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x253) + (-0.5 + 0.5*x254)*(-1 + x254) + (-0.5 + 0.5*x255)*(-1 + x255)
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0.5 + 0.5*x258)*(-1 + x258) + (-0.5 + 0.5*x259)*(-1 + x259) + (-0.5 +
0.5*x260)*(-1 + x260) + (-0.5 + 0.5*x261)*(-1 + x261) + (-0.5 + 0.5*
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x266) + (-0.5 + 0.5*x267)*(-1 + x267) + (-0.5 + 0.5*x268)*(-1 + x268)
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0.5 + 0.5*x271)*(-1 + x271) + (-0.5 + 0.5*x272)*(-1 + x272) + (-0.5 +
0.5*x273)*(-1 + x273) + (-0.5 + 0.5*x274)*(-1 + x274) + (-0.5 + 0.5*
x275)*(-1 + x275) + (-0.5 + 0.5*x276)*(-1 + x276) + (-0.5 + 0.5*x277)*(
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x279) + (-0.5 + 0.5*x280)*(-1 + x280) + (-0.5 + 0.5*x281)*(-1 + x281)
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0.5 + 0.5*x284)*(-1 + x284) + (-0.5 + 0.5*x285)*(-1 + x285) + (-0.5 +
0.5*x286)*(-1 + x286) + (-0.5 + 0.5*x287)*(-1 + x287) + (-0.5 + 0.5*
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x292) + (-0.5 + 0.5*x293)*(-1 + x293) + (-0.5 + 0.5*x294)*(-1 + x294)
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0.5 + 0.5*x297)*(-1 + x297) + (-0.5 + 0.5*x298)*(-1 + x298) + (-0.5 +
0.5*x299)*(-1 + x299) + (-0.5 + 0.5*x300)*(-1 + x300) + (-0.5 + 0.5*
x301)*(-1 + x301) + (-0.5 + 0.5*x302)*(-1 + x302) + (-0.5 + 0.5*x303)*(
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x305) + (-0.5 + 0.5*x306)*(-1 + x306) + (-0.5 + 0.5*x307)*(-1 + x307)
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0.5 + 0.5*x310)*(-1 + x310) + (-0.5 + 0.5*x311)*(-1 + x311) + (-0.5 +
0.5*x312)*(-1 + x312) + (-0.5 + 0.5*x313)*(-1 + x313) + (-0.5 + 0.5*
x314)*(-1 + x314) + (-0.5 + 0.5*x315)*(-1 + x315) + (-0.5 + 0.5*x316)*(
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x318) + (-0.5 + 0.5*x319)*(-1 + x319) + (-0.5 + 0.5*x320)*(-1 + x320)
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0.5 + 0.5*x323)*(-1 + x323) + (-0.5 + 0.5*x324)*(-1 + x324) + (-0.5 +
0.5*x325)*(-1 + x325) + (-0.5 + 0.5*x326)*(-1 + x326) + (-0.5 + 0.5*
x327)*(-1 + x327) + (-0.5 + 0.5*x328)*(-1 + x328) + (-0.5 + 0.5*x329)*(
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x331) + (-0.5 + 0.5*x332)*(-1 + x332) + (-0.5 + 0.5*x333)*(-1 + x333)
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0.5 + 0.5*x336)*(-1 + x336) + (-0.5 + 0.5*x337)*(-1 + x337) + (-0.5 +
0.5*x338)*(-1 + x338) + (-0.5 + 0.5*x339)*(-1 + x339) + (-0.5 + 0.5*
x340)*(-1 + x340) + (-0.5 + 0.5*x341)*(-1 + x341) + (-0.5 + 0.5*x342)*(
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x344) + (-0.5 + 0.5*x345)*(-1 + x345) + (-0.5 + 0.5*x346)*(-1 + x346)
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0.5 + 0.5*x349)*(-1 + x349) + (-0.5 + 0.5*x350)*(-1 + x350) + (-0.5 +
0.5*x351)*(-1 + x351) + (-0.5 + 0.5*x352)*(-1 + x352) + (-0.5 + 0.5*
x353)*(-1 + x353) + (-0.5 + 0.5*x354)*(-1 + x354) + (-0.5 + 0.5*x355)*(
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x357) + (-0.5 + 0.5*x358)*(-1 + x358) + (-0.5 + 0.5*x359)*(-1 + x359)
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0.5 + 0.5*x362)*(-1 + x362) + (-0.5 + 0.5*x363)*(-1 + x363) + (-0.5 +
0.5*x364)*(-1 + x364) + (-0.5 + 0.5*x365)*(-1 + x365) + (-0.5 + 0.5*
x366)*(-1 + x366) + (-0.5 + 0.5*x367)*(-1 + x367) + (-0.5 + 0.5*x368)*(
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x370) + (-0.5 + 0.5*x371)*(-1 + x371) + (-0.5 + 0.5*x372)*(-1 + x372)
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0.5 + 0.5*x375)*(-1 + x375) + (-0.5 + 0.5*x376)*(-1 + x376) + (-0.5 +
0.5*x377)*(-1 + x377) + (-0.5 + 0.5*x378)*(-1 + x378) + (-0.5 + 0.5*
x379)*(-1 + x379) + (-0.5 + 0.5*x380)*(-1 + x380) + (-0.5 + 0.5*x381)*(
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x383) + (-0.5 + 0.5*x384)*(-1 + x384) + (-0.5 + 0.5*x385)*(-1 + x385)
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0.5 + 0.5*x388)*(-1 + x388) + (-0.5 + 0.5*x389)*(-1 + x389) + (-0.5 +
0.5*x390)*(-1 + x390) + (-0.5 + 0.5*x391)*(-1 + x391) + (-0.5 + 0.5*
x392)*(-1 + x392) + (-0.5 + 0.5*x393)*(-1 + x393) + (-0.5 + 0.5*x394)*(
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x396) + (-0.5 + 0.5*x397)*(-1 + x397) + (-0.5 + 0.5*x398)*(-1 + x398)
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0.5 + 0.5*x401)*(-1 + x401) + (-0.5 + 0.5*x402)*(-1 + x402) + (-0.5 +
0.5*x403)*(-1 + x403) + (-0.5 + 0.5*x404)*(-1 + x404) + (-0.5 + 0.5*
x405)*(-1 + x405) + (-0.5 + 0.5*x406)*(-1 + x406) + (-0.5 + 0.5*x407)*(
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x409) + (-0.5 + 0.5*x410)*(-1 + x410) + (-0.5 + 0.5*x411)*(-1 + x411)
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0.5 + 0.5*x414)*(-1 + x414) + (-0.5 + 0.5*x415)*(-1 + x415) + (-0.5 +
0.5*x416)*(-1 + x416) + (-0.5 + 0.5*x417)*(-1 + x417) + (-0.5 + 0.5*
x418)*(-1 + x418) + (-0.5 + 0.5*x419)*(-1 + x419) + (-0.5 + 0.5*x420)*(
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x422) + (-0.5 + 0.5*x423)*(-1 + x423) + (-0.5 + 0.5*x424)*(-1 + x424)
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0.5 + 0.5*x427)*(-1 + x427) + (-0.5 + 0.5*x428)*(-1 + x428) + (-0.5 +
0.5*x429)*(-1 + x429) + (-0.5 + 0.5*x430)*(-1 + x430) + (-0.5 + 0.5*
x431)*(-1 + x431) + (-0.5 + 0.5*x432)*(-1 + x432) + (-0.5 + 0.5*x433)*(
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x435) + (-0.5 + 0.5*x436)*(-1 + x436) + (-0.5 + 0.5*x437)*(-1 + x437)
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0.5 + 0.5*x440)*(-1 + x440) + (-0.5 + 0.5*x441)*(-1 + x441) + (-0.5 +
0.5*x442)*(-1 + x442) + (-0.5 + 0.5*x443)*(-1 + x443) + (-0.5 + 0.5*
x444)*(-1 + x444) + (-0.5 + 0.5*x445)*(-1 + x445) + (-0.5 + 0.5*x446)*(
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x448) + (-0.5 + 0.5*x449)*(-1 + x449) + (-0.5 + 0.5*x450)*(-1 + x450)
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0.5 + 0.5*x453)*(-1 + x453) + (-0.5 + 0.5*x454)*(-1 + x454) + (-0.5 +
0.5*x455)*(-1 + x455) + (-0.5 + 0.5*x456)*(-1 + x456) + (-0.5 + 0.5*
x457)*(-1 + x457) + (-0.5 + 0.5*x458)*(-1 + x458) + (-0.5 + 0.5*x459)*(
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x461) + (-0.5 + 0.5*x462)*(-1 + x462) + (-0.5 + 0.5*x463)*(-1 + x463)
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0.5 + 0.5*x466)*(-1 + x466) + (-0.5 + 0.5*x467)*(-1 + x467) + (-0.5 +
0.5*x468)*(-1 + x468) + (-0.5 + 0.5*x469)*(-1 + x469) + (-0.5 + 0.5*
x470)*(-1 + x470) + (-0.5 + 0.5*x471)*(-1 + x471) + (-0.5 + 0.5*x472)*(
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x474) + (-0.5 + 0.5*x475)*(-1 + x475) + (-0.5 + 0.5*x476)*(-1 + x476)
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0.5 + 0.5*x479)*(-1 + x479) + (-0.5 + 0.5*x480)*(-1 + x480) + (-0.5 +
0.5*x481)*(-1 + x481) + (-0.5 + 0.5*x482)*(-1 + x482) + (-0.5 + 0.5*
x483)*(-1 + x483) + (-0.5 + 0.5*x484)*(-1 + x484) + (-0.5 + 0.5*x485)*(
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x487) + (-0.5 + 0.5*x488)*(-1 + x488) + (-0.5 + 0.5*x489)*(-1 + x489)
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0.5 + 0.5*x492)*(-1 + x492) + (-0.5 + 0.5*x493)*(-1 + x493) + (-0.5 +
0.5*x494)*(-1 + x494) + (-0.5 + 0.5*x495)*(-1 + x495) + (-0.5 + 0.5*
x496)*(-1 + x496) + (-0.5 + 0.5*x497)*(-1 + x497) + (-0.5 + 0.5*x498)*(
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x500) + (-0.5 + 0.5*x501)*(-1 + x501) + (-0.5 + 0.5*x502)*(-1 + x502)
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0.5 + 0.5*x505)*(-1 + x505) + (-0.5 + 0.5*x506)*(-1 + x506) + (-0.5 +
0.5*x507)*(-1 + x507) + (-0.5 + 0.5*x508)*(-1 + x508) + (-0.5 + 0.5*
x509)*(-1 + x509) + (-0.5 + 0.5*x510)*(-1 + x510) + (-0.5 + 0.5*x511)*(
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x513) + (-0.5 + 0.5*x514)*(-1 + x514) + (-0.5 + 0.5*x515)*(-1 + x515)
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0.5 + 0.5*x518)*(-1 + x518) + (-0.5 + 0.5*x519)*(-1 + x519) + (-0.5 +
0.5*x520)*(-1 + x520) + (-0.5 + 0.5*x521)*(-1 + x521) + (-0.5 + 0.5*
x522)*(-1 + x522) + (-0.5 + 0.5*x523)*(-1 + x523) + (-0.5 + 0.5*x524)*(
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x526) + (-0.5 + 0.5*x527)*(-1 + x527) + (-0.5 + 0.5*x528)*(-1 + x528)
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0.5 + 0.5*x531)*(-1 + x531) + (-0.5 + 0.5*x532)*(-1 + x532) + (-0.5 +
0.5*x533)*(-1 + x533) + (-0.5 + 0.5*x534)*(-1 + x534) + (-0.5 + 0.5*
x535)*(-1 + x535) + (-0.5 + 0.5*x536)*(-1 + x536) + (-0.5 + 0.5*x537)*(
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x539) + (-0.5 + 0.5*x540)*(-1 + x540) + (-0.5 + 0.5*x541)*(-1 + x541)
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0.5 + 0.5*x544)*(-1 + x544) + (-0.5 + 0.5*x545)*(-1 + x545) + (-0.5 +
0.5*x546)*(-1 + x546) + (-0.5 + 0.5*x547)*(-1 + x547) + (-0.5 + 0.5*
x548)*(-1 + x548) + (-0.5 + 0.5*x549)*(-1 + x549) + (-0.5 + 0.5*x550)*(
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x552) + (-0.5 + 0.5*x553)*(-1 + x553) + (-0.5 + 0.5*x554)*(-1 + x554)
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0.5 + 0.5*x557)*(-1 + x557) + (-0.5 + 0.5*x558)*(-1 + x558) + (-0.5 +
0.5*x559)*(-1 + x559) + (-0.5 + 0.5*x560)*(-1 + x560) + (-0.5 + 0.5*
x561)*(-1 + x561) + (-0.5 + 0.5*x562)*(-1 + x562) + (-0.5 + 0.5*x563)*(
-1 + x563) + (-0.5 + 0.5*x564)*(-1 + x564) + (-0.5 + 0.5*x565)*(-1 +
x565) + (-0.5 + 0.5*x566)*(-1 + x566) + (-0.5 + 0.5*x567)*(-1 + x567)
+ (-0.5 + 0.5*x568)*(-1 + x568) + (-0.5 + 0.5*x569)*(-1 + x569) + (-
0.5 + 0.5*x570)*(-1 + x570) + (-0.5 + 0.5*x571)*(-1 + x571) + (-0.5 +
0.5*x572)*(-1 + x572) + (-0.5 + 0.5*x573)*(-1 + x573) + (-0.5 + 0.5*
x574)*(-1 + x574) + (-0.5 + 0.5*x575)*(-1 + x575) + (-0.5 + 0.5*x576)*(
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x578) + (-0.5 + 0.5*x579)*(-1 + x579) + (-0.5 + 0.5*x580)*(-1 + x580)
+ (-0.5 + 0.5*x581)*(-1 + x581) + (-0.5 + 0.5*x582)*(-1 + x582) + (-
0.5 + 0.5*x583)*(-1 + x583) + (-0.5 + 0.5*x584)*(-1 + x584) + (-0.5 +
0.5*x585)*(-1 + x585) + (-0.5 + 0.5*x586)*(-1 + x586) + (-0.5 + 0.5*
x587)*(-1 + x587) + (-0.5 + 0.5*x588)*(-1 + x588) + (-0.5 + 0.5*x589)*(
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x591) + (-0.5 + 0.5*x592)*(-1 + x592) + (-0.5 + 0.5*x593)*(-1 + x593)
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0.5 + 0.5*x596)*(-1 + x596) + (-0.5 + 0.5*x597)*(-1 + x597) + (-0.5 +
0.5*x598)*(-1 + x598) + (-0.5 + 0.5*x599)*(-1 + x599) + (-0.5 + 0.5*
x600)*(-1 + x600) + (-0.5 + 0.5*x601)*(-1 + x601) + (-0.5 + 0.5*x602)*(
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x604) + (-0.5 + 0.5*x605)*(-1 + x605) + (-0.5 + 0.5*x606)*(-1 + x606)
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0.5 + 0.5*x609)*(-1 + x609) + (-0.5 + 0.5*x610)*(-1 + x610) + (-0.5 +
0.5*x611)*(-1 + x611) + (-0.5 + 0.5*x612)*(-1 + x612) + (-0.5 + 0.5*
x613)*(-1 + x613) + (-0.5 + 0.5*x614)*(-1 + x614) + (-0.5 + 0.5*x615)*(
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x617) + (-0.5 + 0.5*x618)*(-1 + x618) + (-0.5 + 0.5*x619)*(-1 + x619)
+ (-0.5 + 0.5*x620)*(-1 + x620) + (-0.5 + 0.5*x621)*(-1 + x621) + (-
0.5 + 0.5*x622)*(-1 + x622) + (-0.5 + 0.5*x623)*(-1 + x623) + (-0.5 +
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0.5 + 0.5*x726)*(-1 + x726) + (-0.5 + 0.5*x727)*(-1 + x727) + (-0.5 +
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0.5 + 0.5*x999)*(-1 + x999) + (-0.5 + 0.5*x1000)*(-1 + x1000) + (-0.5
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x2587)*(-1 + x2587) + (-0.5 + 0.5*x2588)*(-1 + x2588) + (-0.5 + 0.5*
x2589)*(-1 + x2589) + (-0.5 + 0.5*x2590)*(-1 + x2590) + (-0.5 + 0.5*
x2591)*(-1 + x2591) + (-0.5 + 0.5*x2592)*(-1 + x2592) + (-0.5 + 0.5*
x2593)*(-1 + x2593) + (-0.5 + 0.5*x2594)*(-1 + x2594) + (-0.5 + 0.5*
x2595)*(-1 + x2595) + (-0.5 + 0.5*x2596)*(-1 + x2596) + (-0.5 + 0.5*
x2597)*(-1 + x2597) + (-0.5 + 0.5*x2598)*(-1 + x2598) + (-0.5 + 0.5*
x2599)*(-1 + x2599) + (-0.5 + 0.5*x2600)*(-1 + x2600) + (-0.5 + 0.5*
x2601)*(-1 + x2601) + (-0.5 + 0.5*x2602)*(-1 + x2602) + (-0.5 + 0.5*
x2603)*(-1 + x2603) + (-0.5 + 0.5*x2604)*(-1 + x2604) + (-0.5 + 0.5*
x2605)*(-1 + x2605) + (-0.5 + 0.5*x2606)*(-1 + x2606) + (-0.5 + 0.5*
x2607)*(-1 + x2607) + (-0.5 + 0.5*x2608)*(-1 + x2608) + (-0.5 + 0.5*
x2609)*(-1 + x2609) + (-0.5 + 0.5*x2610)*(-1 + x2610) + (-0.5 + 0.5*
x2611)*(-1 + x2611) + (-0.5 + 0.5*x2612)*(-1 + x2612) + (-0.5 + 0.5*
x2613)*(-1 + x2613) + (-0.5 + 0.5*x2614)*(-1 + x2614) + (-0.5 + 0.5*
x2615)*(-1 + x2615) + (-0.5 + 0.5*x2616)*(-1 + x2616) + (-0.5 + 0.5*
x2617)*(-1 + x2617) + (-0.5 + 0.5*x2618)*(-1 + x2618) + (-0.5 + 0.5*
x2619)*(-1 + x2619) + (-0.5 + 0.5*x2620)*(-1 + x2620) + (-0.5 + 0.5*
x2621)*(-1 + x2621) + (-0.5 + 0.5*x2622)*(-1 + x2622) + (-0.5 + 0.5*
x2623)*(-1 + x2623) + (-0.5 + 0.5*x2624)*(-1 + x2624) + (-0.5 + 0.5*
x2625)*(-1 + x2625) + (-0.5 + 0.5*x2626)*(-1 + x2626) + (-0.5 + 0.5*
x2627)*(-1 + x2627) + (-0.5 + 0.5*x2628)*(-1 + x2628) + (-0.5 + 0.5*
x2629)*(-1 + x2629) + (-0.5 + 0.5*x2630)*(-1 + x2630) + (-0.5 + 0.5*
x2631)*(-1 + x2631) + (-0.5 + 0.5*x2632)*(-1 + x2632) + (-0.5 + 0.5*
x2633)*(-1 + x2633) + (-0.5 + 0.5*x2634)*(-1 + x2634) + (-0.5 + 0.5*
x2635)*(-1 + x2635) + (-0.5 + 0.5*x2636)*(-1 + x2636) + (-0.5 + 0.5*
x2637)*(-1 + x2637) + (-0.5 + 0.5*x2638)*(-1 + x2638) + (-0.5 + 0.5*
x2639)*(-1 + x2639) + (-0.5 + 0.5*x2640)*(-1 + x2640) + (-0.5 + 0.5*
x2641)*(-1 + x2641) + (-0.5 + 0.5*x2642)*(-1 + x2642) + (-0.5 + 0.5*
x2643)*(-1 + x2643) + (-0.5 + 0.5*x2644)*(-1 + x2644) + (-0.5 + 0.5*
x2645)*(-1 + x2645) + (-0.5 + 0.5*x2646)*(-1 + x2646) + (-0.5 + 0.5*
x2647)*(-1 + x2647) + (-0.5 + 0.5*x2648)*(-1 + x2648) + (-0.5 + 0.5*
x2649)*(-1 + x2649) + (-0.5 + 0.5*x2650)*(-1 + x2650) + (-0.5 + 0.5*
x2651)*(-1 + x2651) + (-0.5 + 0.5*x2652)*(-1 + x2652) + (-0.5 + 0.5*
x2653)*(-1 + x2653) + (-0.5 + 0.5*x2654)*(-1 + x2654) + (-0.5 + 0.5*
x2655)*(-1 + x2655) + (-0.5 + 0.5*x2656)*(-1 + x2656) + (-0.5 + 0.5*
x2657)*(-1 + x2657) + (-0.5 + 0.5*x2658)*(-1 + x2658) + (-0.5 + 0.5*
x2659)*(-1 + x2659) + (-0.5 + 0.5*x2660)*(-1 + x2660) + (-0.5 + 0.5*
x2661)*(-1 + x2661) + (-0.5 + 0.5*x2662)*(-1 + x2662) + (-0.5 + 0.5*
x2663)*(-1 + x2663) + (-0.5 + 0.5*x2664)*(-1 + x2664) + (-0.5 + 0.5*
x2665)*(-1 + x2665) + (-0.5 + 0.5*x2666)*(-1 + x2666) + (-0.5 + 0.5*
x2667)*(-1 + x2667) + (-0.5 + 0.5*x2668)*(-1 + x2668) + (-0.5 + 0.5*
x2669)*(-1 + x2669) + (-0.5 + 0.5*x2670)*(-1 + x2670) + (-0.5 + 0.5*
x2671)*(-1 + x2671) + (-0.5 + 0.5*x2672)*(-1 + x2672) + (-0.5 + 0.5*
x2673)*(-1 + x2673)) + objvar =E= 0;
* set non default bounds
* set non default levels
* set non default marginals
Model m / all /;
m.limrow=0; m.limcol=0;
$if NOT '%gams.u1%' == '' $include '%gams.u1%'
Solve m using NLP minimizing objvar;