MINLPLib

A Library of Mixed-Integer and Continuous Nonlinear Programming Instances

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Instance supplychainr1_022020

Formats ams gms mod nl osil py
Primal Bounds (infeas ≤ 1e-08)
1776970.20200000 p1 ( gdx sol )
(infeas: 2e-12)
Other points (infeas > 1e-08)  
Dual Bounds
1776970.20000000 (ANTIGONE)
1776970.20000000 (BARON)
1776970.00000000 (COUENNE)
1597626.97700000 (LINDO)
1776970.20200000 (SCIP)
183122.57670000 (SHOT)
References Nyberg, Axel, Grossmann, I E, and Westerlund, Tapio, The optimal design of a three-echelon supply chain with inventories under uncertainty, 2012.
Source r1-22020.gms from minlp.org model 157
Application Supply Chain Design with Stochastic Inventory Management
Added to library 25 Sep 2013
Problem type MBNLP
#Variables 1440
#Binary Variables 460
#Integer Variables 0
#Nonlinear Variables 40
#Nonlinear Binary Variables 0
#Nonlinear Integer Variables 0
Objective Sense min
Objective type nonlinear
Objective curvature concave
#Nonzeros in Objective 500
#Nonlinear Nonzeros in Objective 40
#Constraints 1840
#Linear Constraints 1840
#Quadratic Constraints 0
#Polynomial Constraints 0
#Signomial Constraints 0
#General Nonlinear Constraints 0
Operands in Gen. Nonlin. Functions sqrt
Constraints curvature linear
#Nonzeros in Jacobian 6500
#Nonlinear Nonzeros in Jacobian 0
#Nonzeros in (Upper-Left) Hessian of Lagrangian 40
#Nonzeros in Diagonal of Hessian of Lagrangian 40
#Blocks in Hessian of Lagrangian 40
Minimal blocksize in Hessian of Lagrangian 1
Maximal blocksize in Hessian of Lagrangian 1
Average blocksize in Hessian of Lagrangian 1.0
#Semicontinuities 0
#Nonlinear Semicontinuities 0
#SOS type 1 0
#SOS type 2 0
Minimal coefficient 1.0000e-08
Maximal coefficient 1.7083e+05
Infeasibility of initial point 1
Sparsity Jacobian Sparsity of Objective Gradient and Jacobian
Sparsity Hessian of Lagrangian Sparsity of Hessian of Lagrangian

$offlisting
*  
*  Equation counts
*      Total        E        G        L        N        X        C        B
*       1841      501       20     1320        0        0        0        0
*  
*  Variable counts
*                   x        b        i      s1s      s2s       sc       si
*      Total     cont   binary  integer     sos1     sos2    scont     sint
*       1441      981      460        0        0        0        0        0
*  FX      0
*  
*  Nonzero counts
*      Total    const       NL      DLL
*       7001     6961       40        0
*
*  Solve m using MINLP minimizing objvar;


Variables  b1,b2,b3,b4,b5,b6,b7,b8,b9,b10,b11,b12,b13,b14,b15,b16,b17,b18,b19
          ,b20,b21,b22,b23,b24,b25,b26,b27,b28,b29,b30,b31,b32,b33,b34,b35,b36
          ,b37,b38,b39,b40,b41,b42,b43,b44,b45,b46,b47,b48,b49,b50,b51,b52,b53
          ,b54,b55,b56,b57,b58,b59,b60,b61,b62,b63,b64,b65,b66,b67,b68,b69,b70
          ,b71,b72,b73,b74,b75,b76,b77,b78,b79,b80,b81,b82,b83,b84,b85,b86,b87
          ,b88,b89,b90,b91,b92,b93,b94,b95,b96,b97,b98,b99,b100,b101,b102,b103
          ,b104,b105,b106,b107,b108,b109,b110,b111,b112,b113,b114,b115,b116
          ,b117,b118,b119,b120,b121,b122,b123,b124,b125,b126,b127,b128,b129
          ,b130,b131,b132,b133,b134,b135,b136,b137,b138,b139,b140,b141,b142
          ,b143,b144,b145,b146,b147,b148,b149,b150,b151,b152,b153,b154,b155
          ,b156,b157,b158,b159,b160,b161,b162,b163,b164,b165,b166,b167,b168
          ,b169,b170,b171,b172,b173,b174,b175,b176,b177,b178,b179,b180,b181
          ,b182,b183,b184,b185,b186,b187,b188,b189,b190,b191,b192,b193,b194
          ,b195,b196,b197,b198,b199,b200,b201,b202,b203,b204,b205,b206,b207
          ,b208,b209,b210,b211,b212,b213,b214,b215,b216,b217,b218,b219,b220
          ,b221,b222,b223,b224,b225,b226,b227,b228,b229,b230,b231,b232,b233
          ,b234,b235,b236,b237,b238,b239,b240,b241,b242,b243,b244,b245,b246
          ,b247,b248,b249,b250,b251,b252,b253,b254,b255,b256,b257,b258,b259
          ,b260,b261,b262,b263,b264,b265,b266,b267,b268,b269,b270,b271,b272
          ,b273,b274,b275,b276,b277,b278,b279,b280,b281,b282,b283,b284,b285
          ,b286,b287,b288,b289,b290,b291,b292,b293,b294,b295,b296,b297,b298
          ,b299,b300,b301,b302,b303,b304,b305,b306,b307,b308,b309,b310,b311
          ,b312,b313,b314,b315,b316,b317,b318,b319,b320,b321,b322,b323,b324
          ,b325,b326,b327,b328,b329,b330,b331,b332,b333,b334,b335,b336,b337
          ,b338,b339,b340,b341,b342,b343,b344,b345,b346,b347,b348,b349,b350
          ,b351,b352,b353,b354,b355,b356,b357,b358,b359,b360,b361,b362,b363
          ,b364,b365,b366,b367,b368,b369,b370,b371,b372,b373,b374,b375,b376
          ,b377,b378,b379,b380,b381,b382,b383,b384,b385,b386,b387,b388,b389
          ,b390,b391,b392,b393,b394,b395,b396,b397,b398,b399,b400,b401,b402
          ,b403,b404,b405,b406,b407,b408,b409,b410,b411,b412,b413,b414,b415
          ,b416,b417,b418,b419,b420,b421,b422,b423,b424,b425,b426,b427,b428
          ,b429,b430,b431,b432,b433,b434,b435,b436,b437,b438,b439,b440,b441
          ,b442,b443,b444,b445,b446,b447,b448,b449,b450,b451,b452,b453,b454
          ,b455,b456,b457,b458,b459,b460,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,objvar,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;

Positive Variables  x461,x462,x463,x464,x465,x466,x467,x468,x469,x470,x471
          ,x472,x473,x474,x475,x476,x477,x478,x479,x480,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;

Binary Variables  b1,b2,b3,b4,b5,b6,b7,b8,b9,b10,b11,b12,b13,b14,b15,b16,b17
          ,b18,b19,b20,b21,b22,b23,b24,b25,b26,b27,b28,b29,b30,b31,b32,b33,b34
          ,b35,b36,b37,b38,b39,b40,b41,b42,b43,b44,b45,b46,b47,b48,b49,b50,b51
          ,b52,b53,b54,b55,b56,b57,b58,b59,b60,b61,b62,b63,b64,b65,b66,b67,b68
          ,b69,b70,b71,b72,b73,b74,b75,b76,b77,b78,b79,b80,b81,b82,b83,b84,b85
          ,b86,b87,b88,b89,b90,b91,b92,b93,b94,b95,b96,b97,b98,b99,b100,b101
          ,b102,b103,b104,b105,b106,b107,b108,b109,b110,b111,b112,b113,b114
          ,b115,b116,b117,b118,b119,b120,b121,b122,b123,b124,b125,b126,b127
          ,b128,b129,b130,b131,b132,b133,b134,b135,b136,b137,b138,b139,b140
          ,b141,b142,b143,b144,b145,b146,b147,b148,b149,b150,b151,b152,b153
          ,b154,b155,b156,b157,b158,b159,b160,b161,b162,b163,b164,b165,b166
          ,b167,b168,b169,b170,b171,b172,b173,b174,b175,b176,b177,b178,b179
          ,b180,b181,b182,b183,b184,b185,b186,b187,b188,b189,b190,b191,b192
          ,b193,b194,b195,b196,b197,b198,b199,b200,b201,b202,b203,b204,b205
          ,b206,b207,b208,b209,b210,b211,b212,b213,b214,b215,b216,b217,b218
          ,b219,b220,b221,b222,b223,b224,b225,b226,b227,b228,b229,b230,b231
          ,b232,b233,b234,b235,b236,b237,b238,b239,b240,b241,b242,b243,b244
          ,b245,b246,b247,b248,b249,b250,b251,b252,b253,b254,b255,b256,b257
          ,b258,b259,b260,b261,b262,b263,b264,b265,b266,b267,b268,b269,b270
          ,b271,b272,b273,b274,b275,b276,b277,b278,b279,b280,b281,b282,b283
          ,b284,b285,b286,b287,b288,b289,b290,b291,b292,b293,b294,b295,b296
          ,b297,b298,b299,b300,b301,b302,b303,b304,b305,b306,b307,b308,b309
          ,b310,b311,b312,b313,b314,b315,b316,b317,b318,b319,b320,b321,b322
          ,b323,b324,b325,b326,b327,b328,b329,b330,b331,b332,b333,b334,b335
          ,b336,b337,b338,b339,b340,b341,b342,b343,b344,b345,b346,b347,b348
          ,b349,b350,b351,b352,b353,b354,b355,b356,b357,b358,b359,b360,b361
          ,b362,b363,b364,b365,b366,b367,b368,b369,b370,b371,b372,b373,b374
          ,b375,b376,b377,b378,b379,b380,b381,b382,b383,b384,b385,b386,b387
          ,b388,b389,b390,b391,b392,b393,b394,b395,b396,b397,b398,b399,b400
          ,b401,b402,b403,b404,b405,b406,b407,b408,b409,b410,b411,b412,b413
          ,b414,b415,b416,b417,b418,b419,b420,b421,b422,b423,b424,b425,b426
          ,b427,b428,b429,b430,b431,b432,b433,b434,b435,b436,b437,b438,b439
          ,b440,b441,b442,b443,b444,b445,b446,b447,b448,b449,b450,b451,b452
          ,b453,b454,b455,b456,b457,b458,b459,b460;

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,e1002,e1003,e1004,e1005,e1006,e1007,e1008,e1009,e1010,e1011
          ,e1012,e1013,e1014,e1015,e1016,e1017,e1018,e1019,e1020,e1021,e1022
          ,e1023,e1024,e1025,e1026,e1027,e1028,e1029,e1030,e1031,e1032,e1033
          ,e1034,e1035,e1036,e1037,e1038,e1039,e1040,e1041,e1042,e1043,e1044
          ,e1045,e1046,e1047,e1048,e1049,e1050,e1051,e1052,e1053,e1054,e1055
          ,e1056,e1057,e1058,e1059,e1060,e1061,e1062,e1063,e1064,e1065,e1066
          ,e1067,e1068,e1069,e1070,e1071,e1072,e1073,e1074,e1075,e1076,e1077
          ,e1078,e1079,e1080,e1081,e1082,e1083,e1084,e1085,e1086,e1087,e1088
          ,e1089,e1090,e1091,e1092,e1093,e1094,e1095,e1096,e1097,e1098,e1099
          ,e1100,e1101,e1102,e1103,e1104,e1105,e1106,e1107,e1108,e1109,e1110
          ,e1111,e1112,e1113,e1114,e1115,e1116,e1117,e1118,e1119,e1120,e1121
          ,e1122,e1123,e1124,e1125,e1126,e1127,e1128,e1129,e1130,e1131,e1132
          ,e1133,e1134,e1135,e1136,e1137,e1138,e1139,e1140,e1141,e1142,e1143
          ,e1144,e1145,e1146,e1147,e1148,e1149,e1150,e1151,e1152,e1153,e1154
          ,e1155,e1156,e1157,e1158,e1159,e1160,e1161,e1162,e1163,e1164,e1165
          ,e1166,e1167,e1168,e1169,e1170,e1171,e1172,e1173,e1174,e1175,e1176
          ,e1177,e1178,e1179,e1180,e1181,e1182,e1183,e1184,e1185,e1186,e1187
          ,e1188,e1189,e1190,e1191,e1192,e1193,e1194,e1195,e1196,e1197,e1198
          ,e1199,e1200,e1201,e1202,e1203,e1204,e1205,e1206,e1207,e1208,e1209
          ,e1210,e1211,e1212,e1213,e1214,e1215,e1216,e1217,e1218,e1219,e1220
          ,e1221,e1222,e1223,e1224,e1225,e1226,e1227,e1228,e1229,e1230,e1231
          ,e1232,e1233,e1234,e1235,e1236,e1237,e1238,e1239,e1240,e1241,e1242
          ,e1243,e1244,e1245,e1246,e1247,e1248,e1249,e1250,e1251,e1252,e1253
          ,e1254,e1255,e1256,e1257,e1258,e1259,e1260,e1261,e1262,e1263,e1264
          ,e1265,e1266,e1267,e1268,e1269,e1270,e1271,e1272,e1273,e1274,e1275
          ,e1276,e1277,e1278,e1279,e1280,e1281,e1282,e1283,e1284,e1285,e1286
          ,e1287,e1288,e1289,e1290,e1291,e1292,e1293,e1294,e1295,e1296,e1297
          ,e1298,e1299,e1300,e1301,e1302,e1303,e1304,e1305,e1306,e1307,e1308
          ,e1309,e1310,e1311,e1312,e1313,e1314,e1315,e1316,e1317,e1318,e1319
          ,e1320,e1321,e1322,e1323,e1324,e1325,e1326,e1327,e1328,e1329,e1330
          ,e1331,e1332,e1333,e1334,e1335,e1336,e1337,e1338,e1339,e1340,e1341
          ,e1342,e1343,e1344,e1345,e1346,e1347,e1348,e1349,e1350,e1351,e1352
          ,e1353,e1354,e1355,e1356,e1357,e1358,e1359,e1360,e1361,e1362,e1363
          ,e1364,e1365,e1366,e1367,e1368,e1369,e1370,e1371,e1372,e1373,e1374
          ,e1375,e1376,e1377,e1378,e1379,e1380,e1381,e1382,e1383,e1384,e1385
          ,e1386,e1387,e1388,e1389,e1390,e1391,e1392,e1393,e1394,e1395,e1396
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e1.. -(628.16985235088*sqrt(1e-8 + x562) + 553.10319748124*sqrt(1e-8 + x563) + 
     322.31494980062*sqrt(1e-8 + x564) + 583.43337529064*sqrt(1e-8 + x565) + 
     471.36554842706*sqrt(1e-8 + x566) + 561.75758179226*sqrt(1e-8 + x567) + 
     445.14926772974*sqrt(1e-8 + x568) + 498.77932502258*sqrt(1e-8 + x569) + 
     124.42758176366*sqrt(1e-8 + x570) + 436.52083033286*sqrt(1e-8 + x571) + 
     356.9177587472*sqrt(1e-8 + x572) + 282.8874345353*sqrt(1e-8 + x573) + 
     284.39841427802*sqrt(1e-8 + x574) + 150.67769279696*sqrt(1e-8 + x575) + 
     469.35532092806*sqrt(1e-8 + x576) + 415.3284449909*sqrt(1e-8 + x577) + 
     164.3072650982*sqrt(1e-8 + x578) + 324.11163791132*sqrt(1e-8 + x579) + 
     81.04437609002*sqrt(1e-8 + x580) + 632.19449823362*sqrt(1e-8 + x581) + 
     10724.9854196982*sqrt(1e-8 + x481) + 14547.7974984755*sqrt(1e-8 + x482) + 
     4265.05603500384*sqrt(1e-8 + x483) + 24452.8053761036*sqrt(1e-8 + x484) + 
     1179.66292914917*sqrt(1e-8 + x485) + 6132.38672662767*sqrt(1e-8 + x486) + 
     27585.3811105593*sqrt(1e-8 + x487) + 2259.70718913058*sqrt(1e-8 + x488) + 
     3289.55277707927*sqrt(1e-8 + x489) + 3342.14435896077*sqrt(1e-8 + x490) + 
     900.764571752834*sqrt(1e-8 + x491) + 8055.3162677723*sqrt(1e-8 + x492) + 
     32941.16376279*sqrt(1e-8 + x493) + 431.797961673595*sqrt(1e-8 + x494) + 
     4021.04943619917*sqrt(1e-8 + x495) + 25166.4818742554*sqrt(1e-8 + x496) + 
     2605.76318713574*sqrt(1e-8 + x497) + 1491.21805880771*sqrt(1e-8 + x498) + 
     4077.79925989781*sqrt(1e-8 + x499) + 5650.96331195863*sqrt(1e-8 + x500))
      - 151717.47132*b41 - 158432.66708*b42 - 155503.75356*b43
      - 153011.37904*b44 - 152922.12117*b45 - 152240.52867*b46
      - 153498.30504*b47 - 158562.70347*b48 - 150671.13723*b49
      - 155002.10669*b50 - 159981.17627*b51 - 155787.33378*b52
      - 159911.33039*b53 - 157622.50467*b54 - 151306.92483*b55
      - 156397.18759*b56 - 151595.17864*b57 - 152500.80533*b58
      - 156689.28609*b59 - 154353.56381*b60 - 49940.0926788694*b61
      - 46936.611156139*b62 - 14976.5568800964*b63 - 43134.756315246*b64
      - 22820.0958711009*b65 - 21965.2956888665*b66 - 22303.8265187681*b67
      - 104383.019284937*b68 - 54736.001724846*b69 - 112426.066607687*b70
      - 63769.1785987634*b71 - 145066.929428423*b72 - 70373.9355702319*b73
      - 112683.023536075*b74 - 19696.9906131097*b75 - 36647.3310524983*b76
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      - 21058.5355708715*b80 - 97415.6497929395*b81 - 44236.7277071699*b82
      - 29441.7007009965*b83 - 42353.5021118158*b84 - 42386.7708714185*b85
      - 21009.8710775819*b86 - 21984.6864431267*b87 - 104136.682142114*b88
      - 36311.2507819522*b89 - 55617.5858456751*b90 - 63657.1856467563*b91
      - 96810.003198725*b92 - 35062.3235790063*b93 - 112558.972898371*b94
      - 18476.707864806*b95 - 12609.232566999*b96 - 37525.8523147739*b97
      - 31968.2999418955*b98 - 8424.49088665311*b99 - 40891.2388460162*b100
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      - 55635.3149990526*b215 - 26313.0946738309*b216 - 110714.562101548*b217
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      + objvar - 1152.830176089*x502 - 229.8430997855*x503 - 884.36209452*x504
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      - 169.06984297625*x514 - 351.53859788125*x515 - 1660.286824125*x516
      - 682.700557025*x517 - 130.4078098785*x518 - 1404.9947156055*x519
      - 173.3753748915*x520 - 293.285515546*x521 - 1522.153376249*x522
      - 1441.42918617*x523 - 592.2471567135*x524 - 344.75596786125*x525
      - 1428.72034488375*x526 - 502.94806559875*x527 - 485.133720711*x528
      - 267.78397665075*x529 - 457.7061385555*x530 - 287.7586114875*x531
      - 329.42993497325*x532 - 2728.291739047*x533 - 494.08940241225*x534
      - 2080.6156905825*x535 - 974.85667823775*x536 - 173.5112729325*x537
      - 775.029297516*x538 - 228.4544773605*x539 - 365.737060925*x540
      - 147.06099052275*x541 =E= 0;

e2..    b1 + b21 - b41 =E= 0;

e3..    b2 + b22 - b42 =E= 0;

e4..    b3 + b23 - b43 =E= 0;

e5..    b4 + b24 - b44 =E= 0;

e6..    b5 + b25 - b45 =E= 0;

e7..    b6 + b26 - b46 =E= 0;

e8..    b7 + b27 - b47 =E= 0;

e9..    b8 + b28 - b48 =E= 0;

e10..    b9 + b29 - b49 =E= 0;

e11..    b10 + b30 - b50 =E= 0;

e12..    b11 + b31 - b51 =E= 0;

e13..    b12 + b32 - b52 =E= 0;

e14..    b13 + b33 - b53 =E= 0;

e15..    b14 + b34 - b54 =E= 0;

e16..    b15 + b35 - b55 =E= 0;

e17..    b16 + b36 - b56 =E= 0;

e18..    b17 + b37 - b57 =E= 0;

e19..    b18 + b38 - b58 =E= 0;

e20..    b19 + b39 - b59 =E= 0;

e21..    b20 + b40 - b60 =E= 0;

e22..  - b41 + b61 =L= 0;

e23..  - b41 + b62 =L= 0;

e24..  - b41 + b63 =L= 0;

e25..  - b41 + b64 =L= 0;

e26..  - b41 + b65 =L= 0;

e27..  - b41 + b66 =L= 0;

e28..  - b41 + b67 =L= 0;

e29..  - b41 + b68 =L= 0;

e30..  - b41 + b69 =L= 0;

e31..  - b41 + b70 =L= 0;

e32..  - b41 + b71 =L= 0;

e33..  - b41 + b72 =L= 0;

e34..  - b41 + b73 =L= 0;

e35..  - b41 + b74 =L= 0;

e36..  - b41 + b75 =L= 0;

e37..  - b41 + b76 =L= 0;

e38..  - b41 + b77 =L= 0;

e39..  - b41 + b78 =L= 0;

e40..  - b41 + b79 =L= 0;

e41..  - b41 + b80 =L= 0;

e42..  - b42 + b81 =L= 0;

e43..  - b42 + b82 =L= 0;

e44..  - b42 + b83 =L= 0;

e45..  - b42 + b84 =L= 0;

e46..  - b42 + b85 =L= 0;

e47..  - b42 + b86 =L= 0;

e48..  - b42 + b87 =L= 0;

e49..  - b42 + b88 =L= 0;

e50..  - b42 + b89 =L= 0;

e51..  - b42 + b90 =L= 0;

e52..  - b42 + b91 =L= 0;

e53..  - b42 + b92 =L= 0;

e54..  - b42 + b93 =L= 0;

e55..  - b42 + b94 =L= 0;

e56..  - b42 + b95 =L= 0;

e57..  - b42 + b96 =L= 0;

e58..  - b42 + b97 =L= 0;

e59..  - b42 + b98 =L= 0;

e60..  - b42 + b99 =L= 0;

e61..  - b42 + b100 =L= 0;

e62..  - b43 + b101 =L= 0;

e63..  - b43 + b102 =L= 0;

e64..  - b43 + b103 =L= 0;

e65..  - b43 + b104 =L= 0;

e66..  - b43 + b105 =L= 0;

e67..  - b43 + b106 =L= 0;

e68..  - b43 + b107 =L= 0;

e69..  - b43 + b108 =L= 0;

e70..  - b43 + b109 =L= 0;

e71..  - b43 + b110 =L= 0;

e72..  - b43 + b111 =L= 0;

e73..  - b43 + b112 =L= 0;

e74..  - b43 + b113 =L= 0;

e75..  - b43 + b114 =L= 0;

e76..  - b43 + b115 =L= 0;

e77..  - b43 + b116 =L= 0;

e78..  - b43 + b117 =L= 0;

e79..  - b43 + b118 =L= 0;

e80..  - b43 + b119 =L= 0;

e81..  - b43 + b120 =L= 0;

e82..  - b44 + b121 =L= 0;

e83..  - b44 + b122 =L= 0;

e84..  - b44 + b123 =L= 0;

e85..  - b44 + b124 =L= 0;

e86..  - b44 + b125 =L= 0;

e87..  - b44 + b126 =L= 0;

e88..  - b44 + b127 =L= 0;

e89..  - b44 + b128 =L= 0;

e90..  - b44 + b129 =L= 0;

e91..  - b44 + b130 =L= 0;

e92..  - b44 + b131 =L= 0;

e93..  - b44 + b132 =L= 0;

e94..  - b44 + b133 =L= 0;

e95..  - b44 + b134 =L= 0;

e96..  - b44 + b135 =L= 0;

e97..  - b44 + b136 =L= 0;

e98..  - b44 + b137 =L= 0;

e99..  - b44 + b138 =L= 0;

e100..  - b44 + b139 =L= 0;

e101..  - b44 + b140 =L= 0;

e102..  - b45 + b141 =L= 0;

e103..  - b45 + b142 =L= 0;

e104..  - b45 + b143 =L= 0;

e105..  - b45 + b144 =L= 0;

e106..  - b45 + b145 =L= 0;

e107..  - b45 + b146 =L= 0;

e108..  - b45 + b147 =L= 0;

e109..  - b45 + b148 =L= 0;

e110..  - b45 + b149 =L= 0;

e111..  - b45 + b150 =L= 0;

e112..  - b45 + b151 =L= 0;

e113..  - b45 + b152 =L= 0;

e114..  - b45 + b153 =L= 0;

e115..  - b45 + b154 =L= 0;

e116..  - b45 + b155 =L= 0;

e117..  - b45 + b156 =L= 0;

e118..  - b45 + b157 =L= 0;

e119..  - b45 + b158 =L= 0;

e120..  - b45 + b159 =L= 0;

e121..  - b45 + b160 =L= 0;

e122..  - b46 + b161 =L= 0;

e123..  - b46 + b162 =L= 0;

e124..  - b46 + b163 =L= 0;

e125..  - b46 + b164 =L= 0;

e126..  - b46 + b165 =L= 0;

e127..  - b46 + b166 =L= 0;

e128..  - b46 + b167 =L= 0;

e129..  - b46 + b168 =L= 0;

e130..  - b46 + b169 =L= 0;

e131..  - b46 + b170 =L= 0;

e132..  - b46 + b171 =L= 0;

e133..  - b46 + b172 =L= 0;

e134..  - b46 + b173 =L= 0;

e135..  - b46 + b174 =L= 0;

e136..  - b46 + b175 =L= 0;

e137..  - b46 + b176 =L= 0;

e138..  - b46 + b177 =L= 0;

e139..  - b46 + b178 =L= 0;

e140..  - b46 + b179 =L= 0;

e141..  - b46 + b180 =L= 0;

e142..  - b47 + b181 =L= 0;

e143..  - b47 + b182 =L= 0;

e144..  - b47 + b183 =L= 0;

e145..  - b47 + b184 =L= 0;

e146..  - b47 + b185 =L= 0;

e147..  - b47 + b186 =L= 0;

e148..  - b47 + b187 =L= 0;

e149..  - b47 + b188 =L= 0;

e150..  - b47 + b189 =L= 0;

e151..  - b47 + b190 =L= 0;

e152..  - b47 + b191 =L= 0;

e153..  - b47 + b192 =L= 0;

e154..  - b47 + b193 =L= 0;

e155..  - b47 + b194 =L= 0;

e156..  - b47 + b195 =L= 0;

e157..  - b47 + b196 =L= 0;

e158..  - b47 + b197 =L= 0;

e159..  - b47 + b198 =L= 0;

e160..  - b47 + b199 =L= 0;

e161..  - b47 + b200 =L= 0;

e162..  - b48 + b201 =L= 0;

e163..  - b48 + b202 =L= 0;

e164..  - b48 + b203 =L= 0;

e165..  - b48 + b204 =L= 0;

e166..  - b48 + b205 =L= 0;

e167..  - b48 + b206 =L= 0;

e168..  - b48 + b207 =L= 0;

e169..  - b48 + b208 =L= 0;

e170..  - b48 + b209 =L= 0;

e171..  - b48 + b210 =L= 0;

e172..  - b48 + b211 =L= 0;

e173..  - b48 + b212 =L= 0;

e174..  - b48 + b213 =L= 0;

e175..  - b48 + b214 =L= 0;

e176..  - b48 + b215 =L= 0;

e177..  - b48 + b216 =L= 0;

e178..  - b48 + b217 =L= 0;

e179..  - b48 + b218 =L= 0;

e180..  - b48 + b219 =L= 0;

e181..  - b48 + b220 =L= 0;

e182..  - b49 + b221 =L= 0;

e183..  - b49 + b222 =L= 0;

e184..  - b49 + b223 =L= 0;

e185..  - b49 + b224 =L= 0;

e186..  - b49 + b225 =L= 0;

e187..  - b49 + b226 =L= 0;

e188..  - b49 + b227 =L= 0;

e189..  - b49 + b228 =L= 0;

e190..  - b49 + b229 =L= 0;

e191..  - b49 + b230 =L= 0;

e192..  - b49 + b231 =L= 0;

e193..  - b49 + b232 =L= 0;

e194..  - b49 + b233 =L= 0;

e195..  - b49 + b234 =L= 0;

e196..  - b49 + b235 =L= 0;

e197..  - b49 + b236 =L= 0;

e198..  - b49 + b237 =L= 0;

e199..  - b49 + b238 =L= 0;

e200..  - b49 + b239 =L= 0;

e201..  - b49 + b240 =L= 0;

e202..  - b50 + b241 =L= 0;

e203..  - b50 + b242 =L= 0;

e204..  - b50 + b243 =L= 0;

e205..  - b50 + b244 =L= 0;

e206..  - b50 + b245 =L= 0;

e207..  - b50 + b246 =L= 0;

e208..  - b50 + b247 =L= 0;

e209..  - b50 + b248 =L= 0;

e210..  - b50 + b249 =L= 0;

e211..  - b50 + b250 =L= 0;

e212..  - b50 + b251 =L= 0;

e213..  - b50 + b252 =L= 0;

e214..  - b50 + b253 =L= 0;

e215..  - b50 + b254 =L= 0;

e216..  - b50 + b255 =L= 0;

e217..  - b50 + b256 =L= 0;

e218..  - b50 + b257 =L= 0;

e219..  - b50 + b258 =L= 0;

e220..  - b50 + b259 =L= 0;

e221..  - b50 + b260 =L= 0;

e222..  - b51 + b261 =L= 0;

e223..  - b51 + b262 =L= 0;

e224..  - b51 + b263 =L= 0;

e225..  - b51 + b264 =L= 0;

e226..  - b51 + b265 =L= 0;

e227..  - b51 + b266 =L= 0;

e228..  - b51 + b267 =L= 0;

e229..  - b51 + b268 =L= 0;

e230..  - b51 + b269 =L= 0;

e231..  - b51 + b270 =L= 0;

e232..  - b51 + b271 =L= 0;

e233..  - b51 + b272 =L= 0;

e234..  - b51 + b273 =L= 0;

e235..  - b51 + b274 =L= 0;

e236..  - b51 + b275 =L= 0;

e237..  - b51 + b276 =L= 0;

e238..  - b51 + b277 =L= 0;

e239..  - b51 + b278 =L= 0;

e240..  - b51 + b279 =L= 0;

e241..  - b51 + b280 =L= 0;

e242..  - b52 + b281 =L= 0;

e243..  - b52 + b282 =L= 0;

e244..  - b52 + b283 =L= 0;

e245..  - b52 + b284 =L= 0;

e246..  - b52 + b285 =L= 0;

e247..  - b52 + b286 =L= 0;

e248..  - b52 + b287 =L= 0;

e249..  - b52 + b288 =L= 0;

e250..  - b52 + b289 =L= 0;

e251..  - b52 + b290 =L= 0;

e252..  - b52 + b291 =L= 0;

e253..  - b52 + b292 =L= 0;

e254..  - b52 + b293 =L= 0;

e255..  - b52 + b294 =L= 0;

e256..  - b52 + b295 =L= 0;

e257..  - b52 + b296 =L= 0;

e258..  - b52 + b297 =L= 0;

e259..  - b52 + b298 =L= 0;

e260..  - b52 + b299 =L= 0;

e261..  - b52 + b300 =L= 0;

e262..  - b53 + b301 =L= 0;

e263..  - b53 + b302 =L= 0;

e264..  - b53 + b303 =L= 0;

e265..  - b53 + b304 =L= 0;

e266..  - b53 + b305 =L= 0;

e267..  - b53 + b306 =L= 0;

e268..  - b53 + b307 =L= 0;

e269..  - b53 + b308 =L= 0;

e270..  - b53 + b309 =L= 0;

e271..  - b53 + b310 =L= 0;

e272..  - b53 + b311 =L= 0;

e273..  - b53 + b312 =L= 0;

e274..  - b53 + b313 =L= 0;

e275..  - b53 + b314 =L= 0;

e276..  - b53 + b315 =L= 0;

e277..  - b53 + b316 =L= 0;

e278..  - b53 + b317 =L= 0;

e279..  - b53 + b318 =L= 0;

e280..  - b53 + b319 =L= 0;

e281..  - b53 + b320 =L= 0;

e282..  - b54 + b321 =L= 0;

e283..  - b54 + b322 =L= 0;

e284..  - b54 + b323 =L= 0;

e285..  - b54 + b324 =L= 0;

e286..  - b54 + b325 =L= 0;

e287..  - b54 + b326 =L= 0;

e288..  - b54 + b327 =L= 0;

e289..  - b54 + b328 =L= 0;

e290..  - b54 + b329 =L= 0;

e291..  - b54 + b330 =L= 0;

e292..  - b54 + b331 =L= 0;

e293..  - b54 + b332 =L= 0;

e294..  - b54 + b333 =L= 0;

e295..  - b54 + b334 =L= 0;

e296..  - b54 + b335 =L= 0;

e297..  - b54 + b336 =L= 0;

e298..  - b54 + b337 =L= 0;

e299..  - b54 + b338 =L= 0;

e300..  - b54 + b339 =L= 0;

e301..  - b54 + b340 =L= 0;

e302..  - b55 + b341 =L= 0;

e303..  - b55 + b342 =L= 0;

e304..  - b55 + b343 =L= 0;

e305..  - b55 + b344 =L= 0;

e306..  - b55 + b345 =L= 0;

e307..  - b55 + b346 =L= 0;

e308..  - b55 + b347 =L= 0;

e309..  - b55 + b348 =L= 0;

e310..  - b55 + b349 =L= 0;

e311..  - b55 + b350 =L= 0;

e312..  - b55 + b351 =L= 0;

e313..  - b55 + b352 =L= 0;

e314..  - b55 + b353 =L= 0;

e315..  - b55 + b354 =L= 0;

e316..  - b55 + b355 =L= 0;

e317..  - b55 + b356 =L= 0;

e318..  - b55 + b357 =L= 0;

e319..  - b55 + b358 =L= 0;

e320..  - b55 + b359 =L= 0;

e321..  - b55 + b360 =L= 0;

e322..  - b56 + b361 =L= 0;

e323..  - b56 + b362 =L= 0;

e324..  - b56 + b363 =L= 0;

e325..  - b56 + b364 =L= 0;

e326..  - b56 + b365 =L= 0;

e327..  - b56 + b366 =L= 0;

e328..  - b56 + b367 =L= 0;

e329..  - b56 + b368 =L= 0;

e330..  - b56 + b369 =L= 0;

e331..  - b56 + b370 =L= 0;

e332..  - b56 + b371 =L= 0;

e333..  - b56 + b372 =L= 0;

e334..  - b56 + b373 =L= 0;

e335..  - b56 + b374 =L= 0;

e336..  - b56 + b375 =L= 0;

e337..  - b56 + b376 =L= 0;

e338..  - b56 + b377 =L= 0;

e339..  - b56 + b378 =L= 0;

e340..  - b56 + b379 =L= 0;

e341..  - b56 + b380 =L= 0;

e342..  - b57 + b381 =L= 0;

e343..  - b57 + b382 =L= 0;

e344..  - b57 + b383 =L= 0;

e345..  - b57 + b384 =L= 0;

e346..  - b57 + b385 =L= 0;

e347..  - b57 + b386 =L= 0;

e348..  - b57 + b387 =L= 0;

e349..  - b57 + b388 =L= 0;

e350..  - b57 + b389 =L= 0;

e351..  - b57 + b390 =L= 0;

e352..  - b57 + b391 =L= 0;

e353..  - b57 + b392 =L= 0;

e354..  - b57 + b393 =L= 0;

e355..  - b57 + b394 =L= 0;

e356..  - b57 + b395 =L= 0;

e357..  - b57 + b396 =L= 0;

e358..  - b57 + b397 =L= 0;

e359..  - b57 + b398 =L= 0;

e360..  - b57 + b399 =L= 0;

e361..  - b57 + b400 =L= 0;

e362..  - b58 + b401 =L= 0;

e363..  - b58 + b402 =L= 0;

e364..  - b58 + b403 =L= 0;

e365..  - b58 + b404 =L= 0;

e366..  - b58 + b405 =L= 0;

e367..  - b58 + b406 =L= 0;

e368..  - b58 + b407 =L= 0;

e369..  - b58 + b408 =L= 0;

e370..  - b58 + b409 =L= 0;

e371..  - b58 + b410 =L= 0;

e372..  - b58 + b411 =L= 0;

e373..  - b58 + b412 =L= 0;

e374..  - b58 + b413 =L= 0;

e375..  - b58 + b414 =L= 0;

e376..  - b58 + b415 =L= 0;

e377..  - b58 + b416 =L= 0;

e378..  - b58 + b417 =L= 0;

e379..  - b58 + b418 =L= 0;

e380..  - b58 + b419 =L= 0;

e381..  - b58 + b420 =L= 0;

e382..  - b59 + b421 =L= 0;

e383..  - b59 + b422 =L= 0;

e384..  - b59 + b423 =L= 0;

e385..  - b59 + b424 =L= 0;

e386..  - b59 + b425 =L= 0;

e387..  - b59 + b426 =L= 0;

e388..  - b59 + b427 =L= 0;

e389..  - b59 + b428 =L= 0;

e390..  - b59 + b429 =L= 0;

e391..  - b59 + b430 =L= 0;

e392..  - b59 + b431 =L= 0;

e393..  - b59 + b432 =L= 0;

e394..  - b59 + b433 =L= 0;

e395..  - b59 + b434 =L= 0;

e396..  - b59 + b435 =L= 0;

e397..  - b59 + b436 =L= 0;

e398..  - b59 + b437 =L= 0;

e399..  - b59 + b438 =L= 0;

e400..  - b59 + b439 =L= 0;

e401..  - b59 + b440 =L= 0;

e402..  - b60 + b441 =L= 0;

e403..  - b60 + b442 =L= 0;

e404..  - b60 + b443 =L= 0;

e405..  - b60 + b444 =L= 0;

e406..  - b60 + b445 =L= 0;

e407..  - b60 + b446 =L= 0;

e408..  - b60 + b447 =L= 0;

e409..  - b60 + b448 =L= 0;

e410..  - b60 + b449 =L= 0;

e411..  - b60 + b450 =L= 0;

e412..  - b60 + b451 =L= 0;

e413..  - b60 + b452 =L= 0;

e414..  - b60 + b453 =L= 0;

e415..  - b60 + b454 =L= 0;

e416..  - b60 + b455 =L= 0;

e417..  - b60 + b456 =L= 0;

e418..  - b60 + b457 =L= 0;

e419..  - b60 + b458 =L= 0;

e420..  - b60 + b459 =L= 0;

e421..  - b60 + b460 =L= 0;

e422..    b61 + b81 + b101 + b121 + b141 + b161 + b181 + b201 + b221 + b241
        + b261 + b281 + b301 + b321 + b341 + b361 + b381 + b401 + b421 + b441
        =E= 1;

e423..    b62 + b82 + b102 + b122 + b142 + b162 + b182 + b202 + b222 + b242
        + b262 + b282 + b302 + b322 + b342 + b362 + b382 + b402 + b422 + b442
        =E= 1;

e424..    b63 + b83 + b103 + b123 + b143 + b163 + b183 + b203 + b223 + b243
        + b263 + b283 + b303 + b323 + b343 + b363 + b383 + b403 + b423 + b443
        =E= 1;

e425..    b64 + b84 + b104 + b124 + b144 + b164 + b184 + b204 + b224 + b244
        + b264 + b284 + b304 + b324 + b344 + b364 + b384 + b404 + b424 + b444
        =E= 1;

e426..    b65 + b85 + b105 + b125 + b145 + b165 + b185 + b205 + b225 + b245
        + b265 + b285 + b305 + b325 + b345 + b365 + b385 + b405 + b425 + b445
        =E= 1;

e427..    b66 + b86 + b106 + b126 + b146 + b166 + b186 + b206 + b226 + b246
        + b266 + b286 + b306 + b326 + b346 + b366 + b386 + b406 + b426 + b446
        =E= 1;

e428..    b67 + b87 + b107 + b127 + b147 + b167 + b187 + b207 + b227 + b247
        + b267 + b287 + b307 + b327 + b347 + b367 + b387 + b407 + b427 + b447
        =E= 1;

e429..    b68 + b88 + b108 + b128 + b148 + b168 + b188 + b208 + b228 + b248
        + b268 + b288 + b308 + b328 + b348 + b368 + b388 + b408 + b428 + b448
        =E= 1;

e430..    b69 + b89 + b109 + b129 + b149 + b169 + b189 + b209 + b229 + b249
        + b269 + b289 + b309 + b329 + b349 + b369 + b389 + b409 + b429 + b449
        =E= 1;

e431..    b70 + b90 + b110 + b130 + b150 + b170 + b190 + b210 + b230 + b250
        + b270 + b290 + b310 + b330 + b350 + b370 + b390 + b410 + b430 + b450
        =E= 1;

e432..    b71 + b91 + b111 + b131 + b151 + b171 + b191 + b211 + b231 + b251
        + b271 + b291 + b311 + b331 + b351 + b371 + b391 + b411 + b431 + b451
        =E= 1;

e433..    b72 + b92 + b112 + b132 + b152 + b172 + b192 + b212 + b232 + b252
        + b272 + b292 + b312 + b332 + b352 + b372 + b392 + b412 + b432 + b452
        =E= 1;

e434..    b73 + b93 + b113 + b133 + b153 + b173 + b193 + b213 + b233 + b253
        + b273 + b293 + b313 + b333 + b353 + b373 + b393 + b413 + b433 + b453
        =E= 1;

e435..    b74 + b94 + b114 + b134 + b154 + b174 + b194 + b214 + b234 + b254
        + b274 + b294 + b314 + b334 + b354 + b374 + b394 + b414 + b434 + b454
        =E= 1;

e436..    b75 + b95 + b115 + b135 + b155 + b175 + b195 + b215 + b235 + b255
        + b275 + b295 + b315 + b335 + b355 + b375 + b395 + b415 + b435 + b455
        =E= 1;

e437..    b76 + b96 + b116 + b136 + b156 + b176 + b196 + b216 + b236 + b256
        + b276 + b296 + b316 + b336 + b356 + b376 + b396 + b416 + b436 + b456
        =E= 1;

e438..    b77 + b97 + b117 + b137 + b157 + b177 + b197 + b217 + b237 + b257
        + b277 + b297 + b317 + b337 + b357 + b377 + b397 + b417 + b437 + b457
        =E= 1;

e439..    b78 + b98 + b118 + b138 + b158 + b178 + b198 + b218 + b238 + b258
        + b278 + b298 + b318 + b338 + b358 + b378 + b398 + b418 + b438 + b458
        =E= 1;

e440..    b79 + b99 + b119 + b139 + b159 + b179 + b199 + b219 + b239 + b259
        + b279 + b299 + b319 + b339 + b359 + b379 + b399 + b419 + b439 + b459
        =E= 1;

e441..    b80 + b100 + b120 + b140 + b160 + b180 + b200 + b220 + b240 + b260
        + b280 + b300 + b320 + b340 + b360 + b380 + b400 + b420 + b440 + b460
        =E= 1;

e442..  - b61 - 2*b81 - b101 - 3*b121 - 3*b141 - b161 - b181 - 3*b201 - b221
        - b241 - b261 - 2*b281 - 2*b301 - b321 - 3*b341 - 3*b361 - b381
        - 2*b401 - b421 - 2*b441 + x481 - x582 - x602 - x622 - x642 - x662
        - x682 - x702 - x722 - x742 - x762 - x782 - x802 - x822 - x842 - x862
        - x882 - x902 - x922 - x942 - x962 =G= 0;

e443..  - 2*b62 - 2*b82 - b102 - 3*b122 - b142 - b162 - 3*b182 - 2*b202
        - 2*b222 - b242 - 2*b262 - b282 - 2*b302 - b322 - b342 - 2*b362
        - 3*b382 - 2*b402 - 2*b422 - b442 + x482 - x583 - x603 - x623 - x643
        - x663 - x683 - x703 - x723 - x743 - x763 - x783 - x803 - x823 - x843
        - x863 - x883 - x903 - x923 - x943 - x963 =G= 0;

e444..  - b63 - 2*b83 - b103 - 3*b123 - b143 - 3*b163 - 2*b183 - b203 - b223
        - 3*b243 - 2*b263 - 2*b283 - b303 - 2*b323 - 2*b343 - b363 - 2*b383
        - 2*b403 - 2*b423 - 2*b443 + x483 - x584 - x604 - x624 - x644 - x664
        - x684 - x704 - x724 - x744 - x764 - x784 - x804 - x824 - x844 - x864
        - x884 - x904 - x924 - x944 - x964 =G= 0;

e445..  - b64 - b84 - 2*b104 - b124 - b144 - 2*b164 - 2*b184 - 2*b204 - 3*b224
        - 2*b244 - 2*b264 - 2*b284 - 2*b304 - 2*b324 - b344 - 2*b364 - 3*b384
        - 3*b404 - 3*b424 - 2*b444 + x484 - x585 - x605 - x625 - x645 - x665
        - x685 - x705 - x725 - x745 - x765 - x785 - x805 - x825 - x845 - x865
        - x885 - x905 - x925 - x945 - x965 =G= 0;

e446..  - b65 - 2*b85 - 2*b105 - b125 - 2*b145 - b165 - 3*b185 - b205 - b225
        - b245 - b265 - 3*b285 - 2*b305 - b325 - 2*b345 - 2*b365 - 3*b385
        - b405 - 2*b425 - b445 + x485 - x586 - x606 - x626 - x646 - x666 - x686
        - x706 - x726 - x746 - x766 - x786 - x806 - x826 - x846 - x866 - x886
        - x906 - x926 - x946 - x966 =G= 0;

e447..  - b66 - b86 - b106 - b126 - b146 - b166 - 3*b186 - 3*b206 - b226
        - 2*b246 - 3*b266 - b286 - 3*b306 - 2*b326 - 3*b346 - b366 - 3*b386
        - 3*b406 - 2*b426 - 2*b446 + x486 - x587 - x607 - x627 - x647 - x667
        - x687 - x707 - x727 - x747 - x767 - x787 - x807 - x827 - x847 - x867
        - x887 - x907 - x927 - x947 - x967 =G= 0;

e448..  - b67 - b87 - 3*b107 - b127 - 3*b147 - 3*b167 - b187 - 2*b207 - 3*b227
        - b247 - 3*b267 - b287 - 2*b307 - 2*b327 - 2*b347 - 3*b367 - b387
        - 3*b407 - 2*b427 - 3*b447 + x487 - x588 - x608 - x628 - x648 - x668
        - x688 - x708 - x728 - x748 - x768 - x788 - x808 - x828 - x848 - x868
        - x888 - x908 - x928 - x948 - x968 =G= 0;

e449..  - 3*b68 - 3*b88 - 3*b108 - 2*b128 - b148 - 2*b168 - 3*b188 - 3*b208
        - 3*b228 - 3*b248 - b268 - b288 - b308 - 2*b328 - b348 - b368 - 2*b388
        - 3*b408 - 3*b428 - 2*b448 + x488 - x589 - x609 - x629 - x649 - x669
        - x689 - x709 - x729 - x749 - x769 - x789 - x809 - x829 - x849 - x869
        - x889 - x909 - x929 - x949 - x969 =G= 0;

e450..  - 3*b69 - 2*b89 - 2*b109 - 3*b129 - 2*b149 - 2*b169 - 2*b189 - 3*b209
        - 3*b229 - b249 - 2*b269 - 2*b289 - b309 - 3*b329 - b349 - b369
        - 2*b389 - b409 - 3*b429 - b449 + x489 - x590 - x610 - x630 - x650
        - x670 - x690 - x710 - x730 - x750 - x770 - x790 - x810 - x830 - x850
        - x870 - x890 - x910 - x930 - x950 - x970 =G= 0;

e451..  - 2*b70 - b90 - 2*b110 - b130 - 3*b150 - b170 - b190 - 2*b210 - 3*b230
        - 2*b250 - b270 - 2*b290 - b310 - b330 - b350 - 2*b370 - 3*b390 - b410
        - 2*b430 - 2*b450 + x490 - x591 - x611 - x631 - x651 - x671 - x691
        - x711 - x731 - x751 - x771 - x791 - x811 - x831 - x851 - x871 - x891
        - x911 - x931 - x951 - x971 =G= 0;

e452..  - 2*b71 - 2*b91 - 2*b111 - b131 - 2*b151 - 2*b171 - 2*b191 - b211
        - b231 - 2*b251 - 3*b271 - b291 - 3*b311 - b331 - 2*b351 - b371 - b391
        - b411 - b431 - 2*b451 + x491 - x592 - x612 - x632 - x652 - x672 - x692
        - x712 - x732 - x752 - x772 - x792 - x812 - x832 - x852 - x872 - x892
        - x912 - x932 - x952 - x972 =G= 0;

e453..  - 3*b72 - 2*b92 - 2*b112 - 2*b132 - 2*b152 - b172 - 2*b192 - 3*b212
        - b232 - 2*b252 - b272 - 3*b292 - 3*b312 - 2*b332 - b352 - 3*b372
        - 2*b392 - b412 - 2*b432 - b452 + x492 - x593 - x613 - x633 - x653
        - x673 - x693 - x713 - x733 - x753 - x773 - x793 - x813 - x833 - x853
        - x873 - x893 - x913 - x933 - x953 - x973 =G= 0;

e454..  - 2*b73 - b93 - 3*b113 - b133 - b153 - 2*b173 - 3*b193 - 3*b213
        - 3*b233 - 2*b253 - 3*b273 - 2*b293 - 3*b313 - 2*b333 - b353 - 3*b373
        - 3*b393 - 3*b413 - 2*b433 - 2*b453 + x493 - x594 - x614 - x634 - x654
        - x674 - x694 - x714 - x734 - x754 - x774 - x794 - x814 - x834 - x854
        - x874 - x894 - x914 - x934 - x954 - x974 =G= 0;

e455..  - 3*b74 - 3*b94 - 2*b114 - 3*b134 - 2*b154 - 2*b174 - 3*b194 - 3*b214
        - 3*b234 - 2*b254 - 3*b274 - 2*b294 - 3*b314 - b334 - 3*b354 - 2*b374
        - 2*b394 - b414 - 3*b434 - b454 + x494 - x595 - x615 - x635 - x655
        - x675 - x695 - x715 - x735 - x755 - x775 - x795 - x815 - x835 - x855
        - x875 - x895 - x915 - x935 - x955 - x975 =G= 0;

e456..  - b75 - b95 - b115 - 3*b135 - 2*b155 - 3*b175 - b195 - 3*b215 - 3*b235
        - 2*b255 - 3*b275 - 3*b295 - b315 - b335 - 3*b355 - 2*b375 - b395
        - 3*b415 - b435 - 2*b455 + x495 - x596 - x616 - x636 - x656 - x676
        - x696 - x716 - x736 - x756 - x776 - x796 - x816 - x836 - x856 - x876
        - x896 - x916 - x936 - x956 - x976 =G= 0;

e457..  - 3*b76 - b96 - 2*b116 - b136 - 3*b156 - 2*b176 - 2*b196 - 2*b216
        - b236 - b256 - 3*b276 - 3*b296 - b316 - 3*b336 - b356 - 3*b376
        - 3*b396 - 2*b416 - 2*b436 - b456 + x496 - x597 - x617 - x637 - x657
        - x677 - x697 - x717 - x737 - x757 - x777 - x797 - x817 - x837 - x857
        - x877 - x897 - x917 - x937 - x957 - x977 =G= 0;

e458..  - b77 - b97 - 2*b117 - 2*b137 - b157 - 2*b177 - 2*b197 - 3*b217
        - 2*b237 - 3*b257 - 3*b277 - b297 - 2*b317 - b337 - 3*b357 - 2*b377
        - b397 - b417 - 2*b437 - 2*b457 + x497 - x598 - x618 - x638 - x658
        - x678 - x698 - x718 - x738 - x758 - x778 - x798 - x818 - x838 - x858
        - x878 - x898 - x918 - x938 - x958 - x978 =G= 0;

e459..  - 2*b78 - 2*b98 - b118 - 3*b138 - b158 - 2*b178 - 2*b198 - 3*b218
        - b238 - b258 - 2*b278 - 3*b298 - b318 - b338 - b358 - 3*b378 - 2*b398
        - 3*b418 - b438 - 3*b458 + x498 - x599 - x619 - x639 - x659 - x679
        - x699 - x719 - x739 - x759 - x779 - x799 - x819 - x839 - x859 - x879
        - x899 - x919 - x939 - x959 - x979 =G= 0;

e460..  - b79 - b99 - 3*b119 - 3*b139 - b159 - 3*b179 - b199 - 3*b219 - b239
        - 3*b259 - 2*b279 - 3*b299 - 3*b319 - b339 - 3*b359 - 3*b379 - 2*b399
        - b419 - 2*b439 - b459 + x499 - x600 - x620 - x640 - x660 - x680 - x700
        - x720 - x740 - x760 - x780 - x800 - x820 - x840 - x860 - x880 - x900
        - x920 - x940 - x960 - x980 =G= 0;

e461..  - b80 - 2*b100 - b120 - 2*b140 - b160 - 2*b180 - 3*b200 - 2*b220
        - 2*b240 - 2*b260 - 3*b280 - b300 - 3*b320 - b340 - 3*b360 - b380
        - 2*b400 - 3*b420 - 2*b440 - 3*b460 + x500 - x601 - x621 - x641 - x661
        - x681 - x701 - x721 - x741 - x761 - x781 - x801 - x821 - x841 - x861
        - x881 - x901 - x921 - x941 - x961 - x981 =G= 0;

e462..  - 125.31248865*b61 - 146.3359056*b62 - 128.86913085*b63
        - 108.2697861*b64 - 140.979711225*b65 - 110.235621375*b66
        - 109.78883955*b67 - 102.857532525*b68 - 83.875643475*b69
        - 147.40360935*b70 - 138.26592315*b71 - 129.099716925*b72
        - 147.3332826*b73 - 102.342942975*b74 - 132.62305605*b75
        - 99.93567345*b76 - 115.655924325*b77 - 85.382729625*b78
        - 98.525102325*b79 - 80.99106045*b80 + x502 + x522 + x542 =E= 0;

e463..  - 125.31248865*b81 - 146.3359056*b82 - 128.86913085*b83
        - 108.2697861*b84 - 140.979711225*b85 - 110.235621375*b86
        - 109.78883955*b87 - 102.857532525*b88 - 83.875643475*b89
        - 147.40360935*b90 - 138.26592315*b91 - 129.099716925*b92
        - 147.3332826*b93 - 102.342942975*b94 - 132.62305605*b95
        - 99.93567345*b96 - 115.655924325*b97 - 85.382729625*b98
        - 98.525102325*b99 - 80.99106045*b100 + x503 + x523 + x543 =E= 0;

e464..  - 125.31248865*b101 - 146.3359056*b102 - 128.86913085*b103
        - 108.2697861*b104 - 140.979711225*b105 - 110.235621375*b106
        - 109.78883955*b107 - 102.857532525*b108 - 83.875643475*b109
        - 147.40360935*b110 - 138.26592315*b111 - 129.099716925*b112
        - 147.3332826*b113 - 102.342942975*b114 - 132.62305605*b115
        - 99.93567345*b116 - 115.655924325*b117 - 85.382729625*b118
        - 98.525102325*b119 - 80.99106045*b120 + x504 + x524 + x544 =E= 0;

e465..  - 125.31248865*b121 - 146.3359056*b122 - 128.86913085*b123
        - 108.2697861*b124 - 140.979711225*b125 - 110.235621375*b126
        - 109.78883955*b127 - 102.857532525*b128 - 83.875643475*b129
        - 147.40360935*b130 - 138.26592315*b131 - 129.099716925*b132
        - 147.3332826*b133 - 102.342942975*b134 - 132.62305605*b135
        - 99.93567345*b136 - 115.655924325*b137 - 85.382729625*b138
        - 98.525102325*b139 - 80.99106045*b140 + x505 + x525 + x545 =E= 0;

e466..  - 125.31248865*b141 - 146.3359056*b142 - 128.86913085*b143
        - 108.2697861*b144 - 140.979711225*b145 - 110.235621375*b146
        - 109.78883955*b147 - 102.857532525*b148 - 83.875643475*b149
        - 147.40360935*b150 - 138.26592315*b151 - 129.099716925*b152
        - 147.3332826*b153 - 102.342942975*b154 - 132.62305605*b155
        - 99.93567345*b156 - 115.655924325*b157 - 85.382729625*b158
        - 98.525102325*b159 - 80.99106045*b160 + x506 + x526 + x546 =E= 0;

e467..  - 125.31248865*b161 - 146.3359056*b162 - 128.86913085*b163
        - 108.2697861*b164 - 140.979711225*b165 - 110.235621375*b166
        - 109.78883955*b167 - 102.857532525*b168 - 83.875643475*b169
        - 147.40360935*b170 - 138.26592315*b171 - 129.099716925*b172
        - 147.3332826*b173 - 102.342942975*b174 - 132.62305605*b175
        - 99.93567345*b176 - 115.655924325*b177 - 85.382729625*b178
        - 98.525102325*b179 - 80.99106045*b180 + x507 + x527 + x547 =E= 0;

e468..  - 125.31248865*b181 - 146.3359056*b182 - 128.86913085*b183
        - 108.2697861*b184 - 140.979711225*b185 - 110.235621375*b186
        - 109.78883955*b187 - 102.857532525*b188 - 83.875643475*b189
        - 147.40360935*b190 - 138.26592315*b191 - 129.099716925*b192
        - 147.3332826*b193 - 102.342942975*b194 - 132.62305605*b195
        - 99.93567345*b196 - 115.655924325*b197 - 85.382729625*b198
        - 98.525102325*b199 - 80.99106045*b200 + x508 + x528 + x548 =E= 0;

e469..  - 125.31248865*b201 - 146.3359056*b202 - 128.86913085*b203
        - 108.2697861*b204 - 140.979711225*b205 - 110.235621375*b206
        - 109.78883955*b207 - 102.857532525*b208 - 83.875643475*b209
        - 147.40360935*b210 - 138.26592315*b211 - 129.099716925*b212
        - 147.3332826*b213 - 102.342942975*b214 - 132.62305605*b215
        - 99.93567345*b216 - 115.655924325*b217 - 85.382729625*b218
        - 98.525102325*b219 - 80.99106045*b220 + x509 + x529 + x549 =E= 0;

e470..  - 125.31248865*b221 - 146.3359056*b222 - 128.86913085*b223
        - 108.2697861*b224 - 140.979711225*b225 - 110.235621375*b226
        - 109.78883955*b227 - 102.857532525*b228 - 83.875643475*b229
        - 147.40360935*b230 - 138.26592315*b231 - 129.099716925*b232
        - 147.3332826*b233 - 102.342942975*b234 - 132.62305605*b235
        - 99.93567345*b236 - 115.655924325*b237 - 85.382729625*b238
        - 98.525102325*b239 - 80.99106045*b240 + x510 + x530 + x550 =E= 0;

e471..  - 125.31248865*b241 - 146.3359056*b242 - 128.86913085*b243
        - 108.2697861*b244 - 140.979711225*b245 - 110.235621375*b246
        - 109.78883955*b247 - 102.857532525*b248 - 83.875643475*b249
        - 147.40360935*b250 - 138.26592315*b251 - 129.099716925*b252
        - 147.3332826*b253 - 102.342942975*b254 - 132.62305605*b255
        - 99.93567345*b256 - 115.655924325*b257 - 85.382729625*b258
        - 98.525102325*b259 - 80.99106045*b260 + x511 + x531 + x551 =E= 0;

e472..  - 125.31248865*b261 - 146.3359056*b262 - 128.86913085*b263
        - 108.2697861*b264 - 140.979711225*b265 - 110.235621375*b266
        - 109.78883955*b267 - 102.857532525*b268 - 83.875643475*b269
        - 147.40360935*b270 - 138.26592315*b271 - 129.099716925*b272
        - 147.3332826*b273 - 102.342942975*b274 - 132.62305605*b275
        - 99.93567345*b276 - 115.655924325*b277 - 85.382729625*b278
        - 98.525102325*b279 - 80.99106045*b280 + x512 + x532 + x552 =E= 0;

e473..  - 125.31248865*b281 - 146.3359056*b282 - 128.86913085*b283
        - 108.2697861*b284 - 140.979711225*b285 - 110.235621375*b286
        - 109.78883955*b287 - 102.857532525*b288 - 83.875643475*b289
        - 147.40360935*b290 - 138.26592315*b291 - 129.099716925*b292
        - 147.3332826*b293 - 102.342942975*b294 - 132.62305605*b295
        - 99.93567345*b296 - 115.655924325*b297 - 85.382729625*b298
        - 98.525102325*b299 - 80.99106045*b300 + x513 + x533 + x553 =E= 0;

e474..  - 125.31248865*b301 - 146.3359056*b302 - 128.86913085*b303
        - 108.2697861*b304 - 140.979711225*b305 - 110.235621375*b306
        - 109.78883955*b307 - 102.857532525*b308 - 83.875643475*b309
        - 147.40360935*b310 - 138.26592315*b311 - 129.099716925*b312
        - 147.3332826*b313 - 102.342942975*b314 - 132.62305605*b315
        - 99.93567345*b316 - 115.655924325*b317 - 85.382729625*b318
        - 98.525102325*b319 - 80.99106045*b320 + x514 + x534 + x554 =E= 0;

e475..  - 125.31248865*b321 - 146.3359056*b322 - 128.86913085*b323
        - 108.2697861*b324 - 140.979711225*b325 - 110.235621375*b326
        - 109.78883955*b327 - 102.857532525*b328 - 83.875643475*b329
        - 147.40360935*b330 - 138.26592315*b331 - 129.099716925*b332
        - 147.3332826*b333 - 102.342942975*b334 - 132.62305605*b335
        - 99.93567345*b336 - 115.655924325*b337 - 85.382729625*b338
        - 98.525102325*b339 - 80.99106045*b340 + x515 + x535 + x555 =E= 0;

e476..  - 125.31248865*b341 - 146.3359056*b342 - 128.86913085*b343
        - 108.2697861*b344 - 140.979711225*b345 - 110.235621375*b346
        - 109.78883955*b347 - 102.857532525*b348 - 83.875643475*b349
        - 147.40360935*b350 - 138.26592315*b351 - 129.099716925*b352
        - 147.3332826*b353 - 102.342942975*b354 - 132.62305605*b355
        - 99.93567345*b356 - 115.655924325*b357 - 85.382729625*b358
        - 98.525102325*b359 - 80.99106045*b360 + x516 + x536 + x556 =E= 0;

e477..  - 125.31248865*b361 - 146.3359056*b362 - 128.86913085*b363
        - 108.2697861*b364 - 140.979711225*b365 - 110.235621375*b366
        - 109.78883955*b367 - 102.857532525*b368 - 83.875643475*b369
        - 147.40360935*b370 - 138.26592315*b371 - 129.099716925*b372
        - 147.3332826*b373 - 102.342942975*b374 - 132.62305605*b375
        - 99.93567345*b376 - 115.655924325*b377 - 85.382729625*b378
        - 98.525102325*b379 - 80.99106045*b380 + x517 + x537 + x557 =E= 0;

e478..  - 125.31248865*b381 - 146.3359056*b382 - 128.86913085*b383
        - 108.2697861*b384 - 140.979711225*b385 - 110.235621375*b386
        - 109.78883955*b387 - 102.857532525*b388 - 83.875643475*b389
        - 147.40360935*b390 - 138.26592315*b391 - 129.099716925*b392
        - 147.3332826*b393 - 102.342942975*b394 - 132.62305605*b395
        - 99.93567345*b396 - 115.655924325*b397 - 85.382729625*b398
        - 98.525102325*b399 - 80.99106045*b400 + x518 + x538 + x558 =E= 0;

e479..  - 125.31248865*b401 - 146.3359056*b402 - 128.86913085*b403
        - 108.2697861*b404 - 140.979711225*b405 - 110.235621375*b406
        - 109.78883955*b407 - 102.857532525*b408 - 83.875643475*b409
        - 147.40360935*b410 - 138.26592315*b411 - 129.099716925*b412
        - 147.3332826*b413 - 102.342942975*b414 - 132.62305605*b415
        - 99.93567345*b416 - 115.655924325*b417 - 85.382729625*b418
        - 98.525102325*b419 - 80.99106045*b420 + x519 + x539 + x559 =E= 0;

e480..  - 125.31248865*b421 - 146.3359056*b422 - 128.86913085*b423
        - 108.2697861*b424 - 140.979711225*b425 - 110.235621375*b426
        - 109.78883955*b427 - 102.857532525*b428 - 83.875643475*b429
        - 147.40360935*b430 - 138.26592315*b431 - 129.099716925*b432
        - 147.3332826*b433 - 102.342942975*b434 - 132.62305605*b435
        - 99.93567345*b436 - 115.655924325*b437 - 85.382729625*b438
        - 98.525102325*b439 - 80.99106045*b440 + x520 + x540 + x560 =E= 0;

e481..  - 125.31248865*b441 - 146.3359056*b442 - 128.86913085*b443
        - 108.2697861*b444 - 140.979711225*b445 - 110.235621375*b446
        - 109.78883955*b447 - 102.857532525*b448 - 83.875643475*b449
        - 147.40360935*b450 - 138.26592315*b451 - 129.099716925*b452
        - 147.3332826*b453 - 102.342942975*b454 - 132.62305605*b455
        - 99.93567345*b456 - 115.655924325*b457 - 85.382729625*b458
        - 98.525102325*b459 - 80.99106045*b460 + x521 + x541 + x561 =E= 0;

e482..  - 2334.083680575*b1 + x502 =L= 0;

e483..  - 2334.083680575*b2 + x503 =L= 0;

e484..  - 2334.083680575*b3 + x504 =L= 0;

e485..  - 2334.083680575*b4 + x505 =L= 0;

e486..  - 2334.083680575*b5 + x506 =L= 0;

e487..  - 2334.083680575*b6 + x507 =L= 0;

e488..  - 2334.083680575*b7 + x508 =L= 0;

e489..  - 2334.083680575*b8 + x509 =L= 0;

e490..  - 2334.083680575*b9 + x510 =L= 0;

e491..  - 2334.083680575*b10 + x511 =L= 0;

e492..  - 2334.083680575*b11 + x512 =L= 0;

e493..  - 2334.083680575*b12 + x513 =L= 0;

e494..  - 2334.083680575*b13 + x514 =L= 0;

e495..  - 2334.083680575*b14 + x515 =L= 0;

e496..  - 2334.083680575*b15 + x516 =L= 0;

e497..  - 2334.083680575*b16 + x517 =L= 0;

e498..  - 2334.083680575*b17 + x518 =L= 0;

e499..  - 2334.083680575*b18 + x519 =L= 0;

e500..  - 2334.083680575*b19 + x520 =L= 0;

e501..  - 2334.083680575*b20 + x521 =L= 0;

e502..  - 2334.083680575*b21 + x522 =L= 0;

e503..  - 2334.083680575*b22 + x523 =L= 0;

e504..  - 2334.083680575*b23 + x524 =L= 0;

e505..  - 2334.083680575*b24 + x525 =L= 0;

e506..  - 2334.083680575*b25 + x526 =L= 0;

e507..  - 2334.083680575*b26 + x527 =L= 0;

e508..  - 2334.083680575*b27 + x528 =L= 0;

e509..  - 2334.083680575*b28 + x529 =L= 0;

e510..  - 2334.083680575*b29 + x530 =L= 0;

e511..  - 2334.083680575*b30 + x531 =L= 0;

e512..  - 2334.083680575*b31 + x532 =L= 0;

e513..  - 2334.083680575*b32 + x533 =L= 0;

e514..  - 2334.083680575*b33 + x534 =L= 0;

e515..  - 2334.083680575*b34 + x535 =L= 0;

e516..  - 2334.083680575*b35 + x536 =L= 0;

e517..  - 2334.083680575*b36 + x537 =L= 0;

e518..  - 2334.083680575*b37 + x538 =L= 0;

e519..  - 2334.083680575*b38 + x539 =L= 0;

e520..  - 2334.083680575*b39 + x540 =L= 0;

e521..  - 2334.083680575*b40 + x541 =L= 0;

e522..    2334.083680575*b41 + x542 =L= 2334.083680575;

e523..    2334.083680575*b42 + x543 =L= 2334.083680575;

e524..    2334.083680575*b43 + x544 =L= 2334.083680575;

e525..    2334.083680575*b44 + x545 =L= 2334.083680575;

e526..    2334.083680575*b45 + x546 =L= 2334.083680575;

e527..    2334.083680575*b46 + x547 =L= 2334.083680575;

e528..    2334.083680575*b47 + x548 =L= 2334.083680575;

e529..    2334.083680575*b48 + x549 =L= 2334.083680575;

e530..    2334.083680575*b49 + x550 =L= 2334.083680575;

e531..    2334.083680575*b50 + x551 =L= 2334.083680575;

e532..    2334.083680575*b51 + x552 =L= 2334.083680575;

e533..    2334.083680575*b52 + x553 =L= 2334.083680575;

e534..    2334.083680575*b53 + x554 =L= 2334.083680575;

e535..    2334.083680575*b54 + x555 =L= 2334.083680575;

e536..    2334.083680575*b55 + x556 =L= 2334.083680575;

e537..    2334.083680575*b56 + x557 =L= 2334.083680575;

e538..    2334.083680575*b57 + x558 =L= 2334.083680575;

e539..    2334.083680575*b58 + x559 =L= 2334.083680575;

e540..    2334.083680575*b59 + x560 =L= 2334.083680575;

e541..    2334.083680575*b60 + x561 =L= 2334.083680575;

e542..  - x461 + x582 + x982 =E= 0;

e543..  - x461 + x583 + x983 =E= 0;

e544..  - x461 + x584 + x984 =E= 0;

e545..  - x461 + x585 + x985 =E= 0;

e546..  - x461 + x586 + x986 =E= 0;

e547..  - x461 + x587 + x987 =E= 0;

e548..  - x461 + x588 + x988 =E= 0;

e549..  - x461 + x589 + x989 =E= 0;

e550..  - x461 + x590 + x990 =E= 0;

e551..  - x461 + x591 + x991 =E= 0;

e552..  - x461 + x592 + x992 =E= 0;

e553..  - x461 + x593 + x993 =E= 0;

e554..  - x461 + x594 + x994 =E= 0;

e555..  - x461 + x595 + x995 =E= 0;

e556..  - x461 + x596 + x996 =E= 0;

e557..  - x461 + x597 + x997 =E= 0;

e558..  - x461 + x598 + x998 =E= 0;

e559..  - x461 + x599 + x999 =E= 0;

e560..  - x461 + x600 + x1000 =E= 0;

e561..  - x461 + x601 + x1001 =E= 0;

e562..  - x462 + x602 + x1002 =E= 0;

e563..  - x462 + x603 + x1003 =E= 0;

e564..  - x462 + x604 + x1004 =E= 0;

e565..  - x462 + x605 + x1005 =E= 0;

e566..  - x462 + x606 + x1006 =E= 0;

e567..  - x462 + x607 + x1007 =E= 0;

e568..  - x462 + x608 + x1008 =E= 0;

e569..  - x462 + x609 + x1009 =E= 0;

e570..  - x462 + x610 + x1010 =E= 0;

e571..  - x462 + x611 + x1011 =E= 0;

e572..  - x462 + x612 + x1012 =E= 0;

e573..  - x462 + x613 + x1013 =E= 0;

e574..  - x462 + x614 + x1014 =E= 0;

e575..  - x462 + x615 + x1015 =E= 0;

e576..  - x462 + x616 + x1016 =E= 0;

e577..  - x462 + x617 + x1017 =E= 0;

e578..  - x462 + x618 + x1018 =E= 0;

e579..  - x462 + x619 + x1019 =E= 0;

e580..  - x462 + x620 + x1020 =E= 0;

e581..  - x462 + x621 + x1021 =E= 0;

e582..  - x463 + x622 + x1022 =E= 0;

e583..  - x463 + x623 + x1023 =E= 0;

e584..  - x463 + x624 + x1024 =E= 0;

e585..  - x463 + x625 + x1025 =E= 0;

e586..  - x463 + x626 + x1026 =E= 0;

e587..  - x463 + x627 + x1027 =E= 0;

e588..  - x463 + x628 + x1028 =E= 0;

e589..  - x463 + x629 + x1029 =E= 0;

e590..  - x463 + x630 + x1030 =E= 0;

e591..  - x463 + x631 + x1031 =E= 0;

e592..  - x463 + x632 + x1032 =E= 0;

e593..  - x463 + x633 + x1033 =E= 0;

e594..  - x463 + x634 + x1034 =E= 0;

e595..  - x463 + x635 + x1035 =E= 0;

e596..  - x463 + x636 + x1036 =E= 0;

e597..  - x463 + x637 + x1037 =E= 0;

e598..  - x463 + x638 + x1038 =E= 0;

e599..  - x463 + x639 + x1039 =E= 0;

e600..  - x463 + x640 + x1040 =E= 0;

e601..  - x463 + x641 + x1041 =E= 0;

e602..  - x464 + x642 + x1042 =E= 0;

e603..  - x464 + x643 + x1043 =E= 0;

e604..  - x464 + x644 + x1044 =E= 0;

e605..  - x464 + x645 + x1045 =E= 0;

e606..  - x464 + x646 + x1046 =E= 0;

e607..  - x464 + x647 + x1047 =E= 0;

e608..  - x464 + x648 + x1048 =E= 0;

e609..  - x464 + x649 + x1049 =E= 0;

e610..  - x464 + x650 + x1050 =E= 0;

e611..  - x464 + x651 + x1051 =E= 0;

e612..  - x464 + x652 + x1052 =E= 0;

e613..  - x464 + x653 + x1053 =E= 0;

e614..  - x464 + x654 + x1054 =E= 0;

e615..  - x464 + x655 + x1055 =E= 0;

e616..  - x464 + x656 + x1056 =E= 0;

e617..  - x464 + x657 + x1057 =E= 0;

e618..  - x464 + x658 + x1058 =E= 0;

e619..  - x464 + x659 + x1059 =E= 0;

e620..  - x464 + x660 + x1060 =E= 0;

e621..  - x464 + x661 + x1061 =E= 0;

e622..  - x465 + x662 + x1062 =E= 0;

e623..  - x465 + x663 + x1063 =E= 0;

e624..  - x465 + x664 + x1064 =E= 0;

e625..  - x465 + x665 + x1065 =E= 0;

e626..  - x465 + x666 + x1066 =E= 0;

e627..  - x465 + x667 + x1067 =E= 0;

e628..  - x465 + x668 + x1068 =E= 0;

e629..  - x465 + x669 + x1069 =E= 0;

e630..  - x465 + x670 + x1070 =E= 0;

e631..  - x465 + x671 + x1071 =E= 0;

e632..  - x465 + x672 + x1072 =E= 0;

e633..  - x465 + x673 + x1073 =E= 0;

e634..  - x465 + x674 + x1074 =E= 0;

e635..  - x465 + x675 + x1075 =E= 0;

e636..  - x465 + x676 + x1076 =E= 0;

e637..  - x465 + x677 + x1077 =E= 0;

e638..  - x465 + x678 + x1078 =E= 0;

e639..  - x465 + x679 + x1079 =E= 0;

e640..  - x465 + x680 + x1080 =E= 0;

e641..  - x465 + x681 + x1081 =E= 0;

e642..  - x466 + x682 + x1082 =E= 0;

e643..  - x466 + x683 + x1083 =E= 0;

e644..  - x466 + x684 + x1084 =E= 0;

e645..  - x466 + x685 + x1085 =E= 0;

e646..  - x466 + x686 + x1086 =E= 0;

e647..  - x466 + x687 + x1087 =E= 0;

e648..  - x466 + x688 + x1088 =E= 0;

e649..  - x466 + x689 + x1089 =E= 0;

e650..  - x466 + x690 + x1090 =E= 0;

e651..  - x466 + x691 + x1091 =E= 0;

e652..  - x466 + x692 + x1092 =E= 0;

e653..  - x466 + x693 + x1093 =E= 0;

e654..  - x466 + x694 + x1094 =E= 0;

e655..  - x466 + x695 + x1095 =E= 0;

e656..  - x466 + x696 + x1096 =E= 0;

e657..  - x466 + x697 + x1097 =E= 0;

e658..  - x466 + x698 + x1098 =E= 0;

e659..  - x466 + x699 + x1099 =E= 0;

e660..  - x466 + x700 + x1100 =E= 0;

e661..  - x466 + x701 + x1101 =E= 0;

e662..  - x467 + x702 + x1102 =E= 0;

e663..  - x467 + x703 + x1103 =E= 0;

e664..  - x467 + x704 + x1104 =E= 0;

e665..  - x467 + x705 + x1105 =E= 0;

e666..  - x467 + x706 + x1106 =E= 0;

e667..  - x467 + x707 + x1107 =E= 0;

e668..  - x467 + x708 + x1108 =E= 0;

e669..  - x467 + x709 + x1109 =E= 0;

e670..  - x467 + x710 + x1110 =E= 0;

e671..  - x467 + x711 + x1111 =E= 0;

e672..  - x467 + x712 + x1112 =E= 0;

e673..  - x467 + x713 + x1113 =E= 0;

e674..  - x467 + x714 + x1114 =E= 0;

e675..  - x467 + x715 + x1115 =E= 0;

e676..  - x467 + x716 + x1116 =E= 0;

e677..  - x467 + x717 + x1117 =E= 0;

e678..  - x467 + x718 + x1118 =E= 0;

e679..  - x467 + x719 + x1119 =E= 0;

e680..  - x467 + x720 + x1120 =E= 0;

e681..  - x467 + x721 + x1121 =E= 0;

e682..  - x468 + x722 + x1122 =E= 0;

e683..  - x468 + x723 + x1123 =E= 0;

e684..  - x468 + x724 + x1124 =E= 0;

e685..  - x468 + x725 + x1125 =E= 0;

e686..  - x468 + x726 + x1126 =E= 0;

e687..  - x468 + x727 + x1127 =E= 0;

e688..  - x468 + x728 + x1128 =E= 0;

e689..  - x468 + x729 + x1129 =E= 0;

e690..  - x468 + x730 + x1130 =E= 0;

e691..  - x468 + x731 + x1131 =E= 0;

e692..  - x468 + x732 + x1132 =E= 0;

e693..  - x468 + x733 + x1133 =E= 0;

e694..  - x468 + x734 + x1134 =E= 0;

e695..  - x468 + x735 + x1135 =E= 0;

e696..  - x468 + x736 + x1136 =E= 0;

e697..  - x468 + x737 + x1137 =E= 0;

e698..  - x468 + x738 + x1138 =E= 0;

e699..  - x468 + x739 + x1139 =E= 0;

e700..  - x468 + x740 + x1140 =E= 0;

e701..  - x468 + x741 + x1141 =E= 0;

e702..  - x469 + x742 + x1142 =E= 0;

e703..  - x469 + x743 + x1143 =E= 0;

e704..  - x469 + x744 + x1144 =E= 0;

e705..  - x469 + x745 + x1145 =E= 0;

e706..  - x469 + x746 + x1146 =E= 0;

e707..  - x469 + x747 + x1147 =E= 0;

e708..  - x469 + x748 + x1148 =E= 0;

e709..  - x469 + x749 + x1149 =E= 0;

e710..  - x469 + x750 + x1150 =E= 0;

e711..  - x469 + x751 + x1151 =E= 0;

e712..  - x469 + x752 + x1152 =E= 0;

e713..  - x469 + x753 + x1153 =E= 0;

e714..  - x469 + x754 + x1154 =E= 0;

e715..  - x469 + x755 + x1155 =E= 0;

e716..  - x469 + x756 + x1156 =E= 0;

e717..  - x469 + x757 + x1157 =E= 0;

e718..  - x469 + x758 + x1158 =E= 0;

e719..  - x469 + x759 + x1159 =E= 0;

e720..  - x469 + x760 + x1160 =E= 0;

e721..  - x469 + x761 + x1161 =E= 0;

e722..  - x470 + x762 + x1162 =E= 0;

e723..  - x470 + x763 + x1163 =E= 0;

e724..  - x470 + x764 + x1164 =E= 0;

e725..  - x470 + x765 + x1165 =E= 0;

e726..  - x470 + x766 + x1166 =E= 0;

e727..  - x470 + x767 + x1167 =E= 0;

e728..  - x470 + x768 + x1168 =E= 0;

e729..  - x470 + x769 + x1169 =E= 0;

e730..  - x470 + x770 + x1170 =E= 0;

e731..  - x470 + x771 + x1171 =E= 0;

e732..  - x470 + x772 + x1172 =E= 0;

e733..  - x470 + x773 + x1173 =E= 0;

e734..  - x470 + x774 + x1174 =E= 0;

e735..  - x470 + x775 + x1175 =E= 0;

e736..  - x470 + x776 + x1176 =E= 0;

e737..  - x470 + x777 + x1177 =E= 0;

e738..  - x470 + x778 + x1178 =E= 0;

e739..  - x470 + x779 + x1179 =E= 0;

e740..  - x470 + x780 + x1180 =E= 0;

e741..  - x470 + x781 + x1181 =E= 0;

e742..  - x471 + x782 + x1182 =E= 0;

e743..  - x471 + x783 + x1183 =E= 0;

e744..  - x471 + x784 + x1184 =E= 0;

e745..  - x471 + x785 + x1185 =E= 0;

e746..  - x471 + x786 + x1186 =E= 0;

e747..  - x471 + x787 + x1187 =E= 0;

e748..  - x471 + x788 + x1188 =E= 0;

e749..  - x471 + x789 + x1189 =E= 0;

e750..  - x471 + x790 + x1190 =E= 0;

e751..  - x471 + x791 + x1191 =E= 0;

e752..  - x471 + x792 + x1192 =E= 0;

e753..  - x471 + x793 + x1193 =E= 0;

e754..  - x471 + x794 + x1194 =E= 0;

e755..  - x471 + x795 + x1195 =E= 0;

e756..  - x471 + x796 + x1196 =E= 0;

e757..  - x471 + x797 + x1197 =E= 0;

e758..  - x471 + x798 + x1198 =E= 0;

e759..  - x471 + x799 + x1199 =E= 0;

e760..  - x471 + x800 + x1200 =E= 0;

e761..  - x471 + x801 + x1201 =E= 0;

e762..  - x472 + x802 + x1202 =E= 0;

e763..  - x472 + x803 + x1203 =E= 0;

e764..  - x472 + x804 + x1204 =E= 0;

e765..  - x472 + x805 + x1205 =E= 0;

e766..  - x472 + x806 + x1206 =E= 0;

e767..  - x472 + x807 + x1207 =E= 0;

e768..  - x472 + x808 + x1208 =E= 0;

e769..  - x472 + x809 + x1209 =E= 0;

e770..  - x472 + x810 + x1210 =E= 0;

e771..  - x472 + x811 + x1211 =E= 0;

e772..  - x472 + x812 + x1212 =E= 0;

e773..  - x472 + x813 + x1213 =E= 0;

e774..  - x472 + x814 + x1214 =E= 0;

e775..  - x472 + x815 + x1215 =E= 0;

e776..  - x472 + x816 + x1216 =E= 0;

e777..  - x472 + x817 + x1217 =E= 0;

e778..  - x472 + x818 + x1218 =E= 0;

e779..  - x472 + x819 + x1219 =E= 0;

e780..  - x472 + x820 + x1220 =E= 0;

e781..  - x472 + x821 + x1221 =E= 0;

e782..  - x473 + x822 + x1222 =E= 0;

e783..  - x473 + x823 + x1223 =E= 0;

e784..  - x473 + x824 + x1224 =E= 0;

e785..  - x473 + x825 + x1225 =E= 0;

e786..  - x473 + x826 + x1226 =E= 0;

e787..  - x473 + x827 + x1227 =E= 0;

e788..  - x473 + x828 + x1228 =E= 0;

e789..  - x473 + x829 + x1229 =E= 0;

e790..  - x473 + x830 + x1230 =E= 0;

e791..  - x473 + x831 + x1231 =E= 0;

e792..  - x473 + x832 + x1232 =E= 0;

e793..  - x473 + x833 + x1233 =E= 0;

e794..  - x473 + x834 + x1234 =E= 0;

e795..  - x473 + x835 + x1235 =E= 0;

e796..  - x473 + x836 + x1236 =E= 0;

e797..  - x473 + x837 + x1237 =E= 0;

e798..  - x473 + x838 + x1238 =E= 0;

e799..  - x473 + x839 + x1239 =E= 0;

e800..  - x473 + x840 + x1240 =E= 0;

e801..  - x473 + x841 + x1241 =E= 0;

e802..  - x474 + x842 + x1242 =E= 0;

e803..  - x474 + x843 + x1243 =E= 0;

e804..  - x474 + x844 + x1244 =E= 0;

e805..  - x474 + x845 + x1245 =E= 0;

e806..  - x474 + x846 + x1246 =E= 0;

e807..  - x474 + x847 + x1247 =E= 0;

e808..  - x474 + x848 + x1248 =E= 0;

e809..  - x474 + x849 + x1249 =E= 0;

e810..  - x474 + x850 + x1250 =E= 0;

e811..  - x474 + x851 + x1251 =E= 0;

e812..  - x474 + x852 + x1252 =E= 0;

e813..  - x474 + x853 + x1253 =E= 0;

e814..  - x474 + x854 + x1254 =E= 0;

e815..  - x474 + x855 + x1255 =E= 0;

e816..  - x474 + x856 + x1256 =E= 0;

e817..  - x474 + x857 + x1257 =E= 0;

e818..  - x474 + x858 + x1258 =E= 0;

e819..  - x474 + x859 + x1259 =E= 0;

e820..  - x474 + x860 + x1260 =E= 0;

e821..  - x474 + x861 + x1261 =E= 0;

e822..  - x475 + x862 + x1262 =E= 0;

e823..  - x475 + x863 + x1263 =E= 0;

e824..  - x475 + x864 + x1264 =E= 0;

e825..  - x475 + x865 + x1265 =E= 0;

e826..  - x475 + x866 + x1266 =E= 0;

e827..  - x475 + x867 + x1267 =E= 0;

e828..  - x475 + x868 + x1268 =E= 0;

e829..  - x475 + x869 + x1269 =E= 0;

e830..  - x475 + x870 + x1270 =E= 0;

e831..  - x475 + x871 + x1271 =E= 0;

e832..  - x475 + x872 + x1272 =E= 0;

e833..  - x475 + x873 + x1273 =E= 0;

e834..  - x475 + x874 + x1274 =E= 0;

e835..  - x475 + x875 + x1275 =E= 0;

e836..  - x475 + x876 + x1276 =E= 0;

e837..  - x475 + x877 + x1277 =E= 0;

e838..  - x475 + x878 + x1278 =E= 0;

e839..  - x475 + x879 + x1279 =E= 0;

e840..  - x475 + x880 + x1280 =E= 0;

e841..  - x475 + x881 + x1281 =E= 0;

e842..  - x476 + x882 + x1282 =E= 0;

e843..  - x476 + x883 + x1283 =E= 0;

e844..  - x476 + x884 + x1284 =E= 0;

e845..  - x476 + x885 + x1285 =E= 0;

e846..  - x476 + x886 + x1286 =E= 0;

e847..  - x476 + x887 + x1287 =E= 0;

e848..  - x476 + x888 + x1288 =E= 0;

e849..  - x476 + x889 + x1289 =E= 0;

e850..  - x476 + x890 + x1290 =E= 0;

e851..  - x476 + x891 + x1291 =E= 0;

e852..  - x476 + x892 + x1292 =E= 0;

e853..  - x476 + x893 + x1293 =E= 0;

e854..  - x476 + x894 + x1294 =E= 0;

e855..  - x476 + x895 + x1295 =E= 0;

e856..  - x476 + x896 + x1296 =E= 0;

e857..  - x476 + x897 + x1297 =E= 0;

e858..  - x476 + x898 + x1298 =E= 0;

e859..  - x476 + x899 + x1299 =E= 0;

e860..  - x476 + x900 + x1300 =E= 0;

e861..  - x476 + x901 + x1301 =E= 0;

e862..  - x477 + x902 + x1302 =E= 0;

e863..  - x477 + x903 + x1303 =E= 0;

e864..  - x477 + x904 + x1304 =E= 0;

e865..  - x477 + x905 + x1305 =E= 0;

e866..  - x477 + x906 + x1306 =E= 0;

e867..  - x477 + x907 + x1307 =E= 0;

e868..  - x477 + x908 + x1308 =E= 0;

e869..  - x477 + x909 + x1309 =E= 0;

e870..  - x477 + x910 + x1310 =E= 0;

e871..  - x477 + x911 + x1311 =E= 0;

e872..  - x477 + x912 + x1312 =E= 0;

e873..  - x477 + x913 + x1313 =E= 0;

e874..  - x477 + x914 + x1314 =E= 0;

e875..  - x477 + x915 + x1315 =E= 0;

e876..  - x477 + x916 + x1316 =E= 0;

e877..  - x477 + x917 + x1317 =E= 0;

e878..  - x477 + x918 + x1318 =E= 0;

e879..  - x477 + x919 + x1319 =E= 0;

e880..  - x477 + x920 + x1320 =E= 0;

e881..  - x477 + x921 + x1321 =E= 0;

e882..  - x478 + x922 + x1322 =E= 0;

e883..  - x478 + x923 + x1323 =E= 0;

e884..  - x478 + x924 + x1324 =E= 0;

e885..  - x478 + x925 + x1325 =E= 0;

e886..  - x478 + x926 + x1326 =E= 0;

e887..  - x478 + x927 + x1327 =E= 0;

e888..  - x478 + x928 + x1328 =E= 0;

e889..  - x478 + x929 + x1329 =E= 0;

e890..  - x478 + x930 + x1330 =E= 0;

e891..  - x478 + x931 + x1331 =E= 0;

e892..  - x478 + x932 + x1332 =E= 0;

e893..  - x478 + x933 + x1333 =E= 0;

e894..  - x478 + x934 + x1334 =E= 0;

e895..  - x478 + x935 + x1335 =E= 0;

e896..  - x478 + x936 + x1336 =E= 0;

e897..  - x478 + x937 + x1337 =E= 0;

e898..  - x478 + x938 + x1338 =E= 0;

e899..  - x478 + x939 + x1339 =E= 0;

e900..  - x478 + x940 + x1340 =E= 0;

e901..  - x478 + x941 + x1341 =E= 0;

e902..  - x479 + x942 + x1342 =E= 0;

e903..  - x479 + x943 + x1343 =E= 0;

e904..  - x479 + x944 + x1344 =E= 0;

e905..  - x479 + x945 + x1345 =E= 0;

e906..  - x479 + x946 + x1346 =E= 0;

e907..  - x479 + x947 + x1347 =E= 0;

e908..  - x479 + x948 + x1348 =E= 0;

e909..  - x479 + x949 + x1349 =E= 0;

e910..  - x479 + x950 + x1350 =E= 0;

e911..  - x479 + x951 + x1351 =E= 0;

e912..  - x479 + x952 + x1352 =E= 0;

e913..  - x479 + x953 + x1353 =E= 0;

e914..  - x479 + x954 + x1354 =E= 0;

e915..  - x479 + x955 + x1355 =E= 0;

e916..  - x479 + x956 + x1356 =E= 0;

e917..  - x479 + x957 + x1357 =E= 0;

e918..  - x479 + x958 + x1358 =E= 0;

e919..  - x479 + x959 + x1359 =E= 0;

e920..  - x479 + x960 + x1360 =E= 0;

e921..  - x479 + x961 + x1361 =E= 0;

e922..  - x480 + x962 + x1362 =E= 0;

e923..  - x480 + x963 + x1363 =E= 0;

e924..  - x480 + x964 + x1364 =E= 0;

e925..  - x480 + x965 + x1365 =E= 0;

e926..  - x480 + x966 + x1366 =E= 0;

e927..  - x480 + x967 + x1367 =E= 0;

e928..  - x480 + x968 + x1368 =E= 0;

e929..  - x480 + x969 + x1369 =E= 0;

e930..  - x480 + x970 + x1370 =E= 0;

e931..  - x480 + x971 + x1371 =E= 0;

e932..  - x480 + x972 + x1372 =E= 0;

e933..  - x480 + x973 + x1373 =E= 0;

e934..  - x480 + x974 + x1374 =E= 0;

e935..  - x480 + x975 + x1375 =E= 0;

e936..  - x480 + x976 + x1376 =E= 0;

e937..  - x480 + x977 + x1377 =E= 0;

e938..  - x480 + x978 + x1378 =E= 0;

e939..  - x480 + x979 + x1379 =E= 0;

e940..  - x480 + x980 + x1380 =E= 0;

e941..  - x480 + x981 + x1381 =E= 0;

e942..  - 6*b61 + x582 =L= 0;

e943..  - 6*b62 + x583 =L= 0;

e944..  - 6*b63 + x584 =L= 0;

e945..  - 6*b64 + x585 =L= 0;

e946..  - 6*b65 + x586 =L= 0;

e947..  - 6*b66 + x587 =L= 0;

e948..  - 6*b67 + x588 =L= 0;

e949..  - 6*b68 + x589 =L= 0;

e950..  - 6*b69 + x590 =L= 0;

e951..  - 6*b70 + x591 =L= 0;

e952..  - 6*b71 + x592 =L= 0;

e953..  - 6*b72 + x593 =L= 0;

e954..  - 6*b73 + x594 =L= 0;

e955..  - 6*b74 + x595 =L= 0;

e956..  - 6*b75 + x596 =L= 0;

e957..  - 6*b76 + x597 =L= 0;

e958..  - 6*b77 + x598 =L= 0;

e959..  - 6*b78 + x599 =L= 0;

e960..  - 6*b79 + x600 =L= 0;

e961..  - 6*b80 + x601 =L= 0;

e962..  - 7*b81 + x602 =L= 0;

e963..  - 7*b82 + x603 =L= 0;

e964..  - 7*b83 + x604 =L= 0;

e965..  - 7*b84 + x605 =L= 0;

e966..  - 7*b85 + x606 =L= 0;

e967..  - 7*b86 + x607 =L= 0;

e968..  - 7*b87 + x608 =L= 0;

e969..  - 7*b88 + x609 =L= 0;

e970..  - 7*b89 + x610 =L= 0;

e971..  - 7*b90 + x611 =L= 0;

e972..  - 7*b91 + x612 =L= 0;

e973..  - 7*b92 + x613 =L= 0;

e974..  - 7*b93 + x614 =L= 0;

e975..  - 7*b94 + x615 =L= 0;

e976..  - 7*b95 + x616 =L= 0;

e977..  - 7*b96 + x617 =L= 0;

e978..  - 7*b97 + x618 =L= 0;

e979..  - 7*b98 + x619 =L= 0;

e980..  - 7*b99 + x620 =L= 0;

e981..  - 7*b100 + x621 =L= 0;

e982..  - 6*b101 + x622 =L= 0;

e983..  - 6*b102 + x623 =L= 0;

e984..  - 6*b103 + x624 =L= 0;

e985..  - 6*b104 + x625 =L= 0;

e986..  - 6*b105 + x626 =L= 0;

e987..  - 6*b106 + x627 =L= 0;

e988..  - 6*b107 + x628 =L= 0;

e989..  - 6*b108 + x629 =L= 0;

e990..  - 6*b109 + x630 =L= 0;

e991..  - 6*b110 + x631 =L= 0;

e992..  - 6*b111 + x632 =L= 0;

e993..  - 6*b112 + x633 =L= 0;

e994..  - 6*b113 + x634 =L= 0;

e995..  - 6*b114 + x635 =L= 0;

e996..  - 6*b115 + x636 =L= 0;

e997..  - 6*b116 + x637 =L= 0;

e998..  - 6*b117 + x638 =L= 0;

e999..  - 6*b118 + x639 =L= 0;

e1000..  - 6*b119 + x640 =L= 0;

e1001..  - 6*b120 + x641 =L= 0;

e1002..  - 5*b121 + x642 =L= 0;

e1003..  - 5*b122 + x643 =L= 0;

e1004..  - 5*b123 + x644 =L= 0;

e1005..  - 5*b124 + x645 =L= 0;

e1006..  - 5*b125 + x646 =L= 0;

e1007..  - 5*b126 + x647 =L= 0;

e1008..  - 5*b127 + x648 =L= 0;

e1009..  - 5*b128 + x649 =L= 0;

e1010..  - 5*b129 + x650 =L= 0;

e1011..  - 5*b130 + x651 =L= 0;

e1012..  - 5*b131 + x652 =L= 0;

e1013..  - 5*b132 + x653 =L= 0;

e1014..  - 5*b133 + x654 =L= 0;

e1015..  - 5*b134 + x655 =L= 0;

e1016..  - 5*b135 + x656 =L= 0;

e1017..  - 5*b136 + x657 =L= 0;

e1018..  - 5*b137 + x658 =L= 0;

e1019..  - 5*b138 + x659 =L= 0;

e1020..  - 5*b139 + x660 =L= 0;

e1021..  - 5*b140 + x661 =L= 0;

e1022..  - 8*b141 + x662 =L= 0;

e1023..  - 8*b142 + x663 =L= 0;

e1024..  - 8*b143 + x664 =L= 0;

e1025..  - 8*b144 + x665 =L= 0;

e1026..  - 8*b145 + x666 =L= 0;

e1027..  - 8*b146 + x667 =L= 0;

e1028..  - 8*b147 + x668 =L= 0;

e1029..  - 8*b148 + x669 =L= 0;

e1030..  - 8*b149 + x670 =L= 0;

e1031..  - 8*b150 + x671 =L= 0;

e1032..  - 8*b151 + x672 =L= 0;

e1033..  - 8*b152 + x673 =L= 0;

e1034..  - 8*b153 + x674 =L= 0;

e1035..  - 8*b154 + x675 =L= 0;

e1036..  - 8*b155 + x676 =L= 0;

e1037..  - 8*b156 + x677 =L= 0;

e1038..  - 8*b157 + x678 =L= 0;

e1039..  - 8*b158 + x679 =L= 0;

e1040..  - 8*b159 + x680 =L= 0;

e1041..  - 8*b160 + x681 =L= 0;

e1042..  - 7*b161 + x682 =L= 0;

e1043..  - 7*b162 + x683 =L= 0;

e1044..  - 7*b163 + x684 =L= 0;

e1045..  - 7*b164 + x685 =L= 0;

e1046..  - 7*b165 + x686 =L= 0;

e1047..  - 7*b166 + x687 =L= 0;

e1048..  - 7*b167 + x688 =L= 0;

e1049..  - 7*b168 + x689 =L= 0;

e1050..  - 7*b169 + x690 =L= 0;

e1051..  - 7*b170 + x691 =L= 0;

e1052..  - 7*b171 + x692 =L= 0;

e1053..  - 7*b172 + x693 =L= 0;

e1054..  - 7*b173 + x694 =L= 0;

e1055..  - 7*b174 + x695 =L= 0;

e1056..  - 7*b175 + x696 =L= 0;

e1057..  - 7*b176 + x697 =L= 0;

e1058..  - 7*b177 + x698 =L= 0;

e1059..  - 7*b178 + x699 =L= 0;

e1060..  - 7*b179 + x700 =L= 0;

e1061..  - 7*b180 + x701 =L= 0;

e1062..  - 9*b181 + x702 =L= 0;

e1063..  - 9*b182 + x703 =L= 0;

e1064..  - 9*b183 + x704 =L= 0;

e1065..  - 9*b184 + x705 =L= 0;

e1066..  - 9*b185 + x706 =L= 0;

e1067..  - 9*b186 + x707 =L= 0;

e1068..  - 9*b187 + x708 =L= 0;

e1069..  - 9*b188 + x709 =L= 0;

e1070..  - 9*b189 + x710 =L= 0;

e1071..  - 9*b190 + x711 =L= 0;

e1072..  - 9*b191 + x712 =L= 0;

e1073..  - 9*b192 + x713 =L= 0;

e1074..  - 9*b193 + x714 =L= 0;

e1075..  - 9*b194 + x715 =L= 0;

e1076..  - 9*b195 + x716 =L= 0;

e1077..  - 9*b196 + x717 =L= 0;

e1078..  - 9*b197 + x718 =L= 0;

e1079..  - 9*b198 + x719 =L= 0;

e1080..  - 9*b199 + x720 =L= 0;

e1081..  - 9*b200 + x721 =L= 0;

e1082..  - 6*b201 + x722 =L= 0;

e1083..  - 6*b202 + x723 =L= 0;

e1084..  - 6*b203 + x724 =L= 0;

e1085..  - 6*b204 + x725 =L= 0;

e1086..  - 6*b205 + x726 =L= 0;

e1087..  - 6*b206 + x727 =L= 0;

e1088..  - 6*b207 + x728 =L= 0;

e1089..  - 6*b208 + x729 =L= 0;

e1090..  - 6*b209 + x730 =L= 0;

e1091..  - 6*b210 + x731 =L= 0;

e1092..  - 6*b211 + x732 =L= 0;

e1093..  - 6*b212 + x733 =L= 0;

e1094..  - 6*b213 + x734 =L= 0;

e1095..  - 6*b214 + x735 =L= 0;

e1096..  - 6*b215 + x736 =L= 0;

e1097..  - 6*b216 + x737 =L= 0;

e1098..  - 6*b217 + x738 =L= 0;

e1099..  - 6*b218 + x739 =L= 0;

e1100..  - 6*b219 + x740 =L= 0;

e1101..  - 6*b220 + x741 =L= 0;

e1102..  - 8*b221 + x742 =L= 0;

e1103..  - 8*b222 + x743 =L= 0;

e1104..  - 8*b223 + x744 =L= 0;

e1105..  - 8*b224 + x745 =L= 0;

e1106..  - 8*b225 + x746 =L= 0;

e1107..  - 8*b226 + x747 =L= 0;

e1108..  - 8*b227 + x748 =L= 0;

e1109..  - 8*b228 + x749 =L= 0;

e1110..  - 8*b229 + x750 =L= 0;

e1111..  - 8*b230 + x751 =L= 0;

e1112..  - 8*b231 + x752 =L= 0;

e1113..  - 8*b232 + x753 =L= 0;

e1114..  - 8*b233 + x754 =L= 0;

e1115..  - 8*b234 + x755 =L= 0;

e1116..  - 8*b235 + x756 =L= 0;

e1117..  - 8*b236 + x757 =L= 0;

e1118..  - 8*b237 + x758 =L= 0;

e1119..  - 8*b238 + x759 =L= 0;

e1120..  - 8*b239 + x760 =L= 0;

e1121..  - 8*b240 + x761 =L= 0;

e1122..  - 9*b241 + x762 =L= 0;

e1123..  - 9*b242 + x763 =L= 0;

e1124..  - 9*b243 + x764 =L= 0;

e1125..  - 9*b244 + x765 =L= 0;

e1126..  - 9*b245 + x766 =L= 0;

e1127..  - 9*b246 + x767 =L= 0;

e1128..  - 9*b247 + x768 =L= 0;

e1129..  - 9*b248 + x769 =L= 0;

e1130..  - 9*b249 + x770 =L= 0;

e1131..  - 9*b250 + x771 =L= 0;

e1132..  - 9*b251 + x772 =L= 0;

e1133..  - 9*b252 + x773 =L= 0;

e1134..  - 9*b253 + x774 =L= 0;

e1135..  - 9*b254 + x775 =L= 0;

e1136..  - 9*b255 + x776 =L= 0;

e1137..  - 9*b256 + x777 =L= 0;

e1138..  - 9*b257 + x778 =L= 0;

e1139..  - 9*b258 + x779 =L= 0;

e1140..  - 9*b259 + x780 =L= 0;

e1141..  - 9*b260 + x781 =L= 0;

e1142..  - 8*b261 + x782 =L= 0;

e1143..  - 8*b262 + x783 =L= 0;

e1144..  - 8*b263 + x784 =L= 0;

e1145..  - 8*b264 + x785 =L= 0;

e1146..  - 8*b265 + x786 =L= 0;

e1147..  - 8*b266 + x787 =L= 0;

e1148..  - 8*b267 + x788 =L= 0;

e1149..  - 8*b268 + x789 =L= 0;

e1150..  - 8*b269 + x790 =L= 0;

e1151..  - 8*b270 + x791 =L= 0;

e1152..  - 8*b271 + x792 =L= 0;

e1153..  - 8*b272 + x793 =L= 0;

e1154..  - 8*b273 + x794 =L= 0;

e1155..  - 8*b274 + x795 =L= 0;

e1156..  - 8*b275 + x796 =L= 0;

e1157..  - 8*b276 + x797 =L= 0;

e1158..  - 8*b277 + x798 =L= 0;

e1159..  - 8*b278 + x799 =L= 0;

e1160..  - 8*b279 + x800 =L= 0;

e1161..  - 8*b280 + x801 =L= 0;

e1162..  - 8*b281 + x802 =L= 0;

e1163..  - 8*b282 + x803 =L= 0;

e1164..  - 8*b283 + x804 =L= 0;

e1165..  - 8*b284 + x805 =L= 0;

e1166..  - 8*b285 + x806 =L= 0;

e1167..  - 8*b286 + x807 =L= 0;

e1168..  - 8*b287 + x808 =L= 0;

e1169..  - 8*b288 + x809 =L= 0;

e1170..  - 8*b289 + x810 =L= 0;

e1171..  - 8*b290 + x811 =L= 0;

e1172..  - 8*b291 + x812 =L= 0;

e1173..  - 8*b292 + x813 =L= 0;

e1174..  - 8*b293 + x814 =L= 0;

e1175..  - 8*b294 + x815 =L= 0;

e1176..  - 8*b295 + x816 =L= 0;

e1177..  - 8*b296 + x817 =L= 0;

e1178..  - 8*b297 + x818 =L= 0;

e1179..  - 8*b298 + x819 =L= 0;

e1180..  - 8*b299 + x820 =L= 0;

e1181..  - 8*b300 + x821 =L= 0;

e1182..  - 4*b301 + x822 =L= 0;

e1183..  - 4*b302 + x823 =L= 0;

e1184..  - 4*b303 + x824 =L= 0;

e1185..  - 4*b304 + x825 =L= 0;

e1186..  - 4*b305 + x826 =L= 0;

e1187..  - 4*b306 + x827 =L= 0;

e1188..  - 4*b307 + x828 =L= 0;

e1189..  - 4*b308 + x829 =L= 0;

e1190..  - 4*b309 + x830 =L= 0;

e1191..  - 4*b310 + x831 =L= 0;

e1192..  - 4*b311 + x832 =L= 0;

e1193..  - 4*b312 + x833 =L= 0;

e1194..  - 4*b313 + x834 =L= 0;

e1195..  - 4*b314 + x835 =L= 0;

e1196..  - 4*b315 + x836 =L= 0;

e1197..  - 4*b316 + x837 =L= 0;

e1198..  - 4*b317 + x838 =L= 0;

e1199..  - 4*b318 + x839 =L= 0;

e1200..  - 4*b319 + x840 =L= 0;

e1201..  - 4*b320 + x841 =L= 0;

e1202..  - 7*b321 + x842 =L= 0;

e1203..  - 7*b322 + x843 =L= 0;

e1204..  - 7*b323 + x844 =L= 0;

e1205..  - 7*b324 + x845 =L= 0;

e1206..  - 7*b325 + x846 =L= 0;

e1207..  - 7*b326 + x847 =L= 0;

e1208..  - 7*b327 + x848 =L= 0;

e1209..  - 7*b328 + x849 =L= 0;

e1210..  - 7*b329 + x850 =L= 0;

e1211..  - 7*b330 + x851 =L= 0;

e1212..  - 7*b331 + x852 =L= 0;

e1213..  - 7*b332 + x853 =L= 0;

e1214..  - 7*b333 + x854 =L= 0;

e1215..  - 7*b334 + x855 =L= 0;

e1216..  - 7*b335 + x856 =L= 0;

e1217..  - 7*b336 + x857 =L= 0;

e1218..  - 7*b337 + x858 =L= 0;

e1219..  - 7*b338 + x859 =L= 0;

e1220..  - 7*b339 + x860 =L= 0;

e1221..  - 7*b340 + x861 =L= 0;

e1222..  - 8*b341 + x862 =L= 0;

e1223..  - 8*b342 + x863 =L= 0;

e1224..  - 8*b343 + x864 =L= 0;

e1225..  - 8*b344 + x865 =L= 0;

e1226..  - 8*b345 + x866 =L= 0;

e1227..  - 8*b346 + x867 =L= 0;

e1228..  - 8*b347 + x868 =L= 0;

e1229..  - 8*b348 + x869 =L= 0;

e1230..  - 8*b349 + x870 =L= 0;

e1231..  - 8*b350 + x871 =L= 0;

e1232..  - 8*b351 + x872 =L= 0;

e1233..  - 8*b352 + x873 =L= 0;

e1234..  - 8*b353 + x874 =L= 0;

e1235..  - 8*b354 + x875 =L= 0;

e1236..  - 8*b355 + x876 =L= 0;

e1237..  - 8*b356 + x877 =L= 0;

e1238..  - 8*b357 + x878 =L= 0;

e1239..  - 8*b358 + x879 =L= 0;

e1240..  - 8*b359 + x880 =L= 0;

e1241..  - 8*b360 + x881 =L= 0;

e1242..  - 7*b361 + x882 =L= 0;

e1243..  - 7*b362 + x883 =L= 0;

e1244..  - 7*b363 + x884 =L= 0;

e1245..  - 7*b364 + x885 =L= 0;

e1246..  - 7*b365 + x886 =L= 0;

e1247..  - 7*b366 + x887 =L= 0;

e1248..  - 7*b367 + x888 =L= 0;

e1249..  - 7*b368 + x889 =L= 0;

e1250..  - 7*b369 + x890 =L= 0;

e1251..  - 7*b370 + x891 =L= 0;

e1252..  - 7*b371 + x892 =L= 0;

e1253..  - 7*b372 + x893 =L= 0;

e1254..  - 7*b373 + x894 =L= 0;

e1255..  - 7*b374 + x895 =L= 0;

e1256..  - 7*b375 + x896 =L= 0;

e1257..  - 7*b376 + x897 =L= 0;

e1258..  - 7*b377 + x898 =L= 0;

e1259..  - 7*b378 + x899 =L= 0;

e1260..  - 7*b379 + x900 =L= 0;

e1261..  - 7*b380 + x901 =L= 0;

e1262..  - 7*b381 + x902 =L= 0;

e1263..  - 7*b382 + x903 =L= 0;

e1264..  - 7*b383 + x904 =L= 0;

e1265..  - 7*b384 + x905 =L= 0;

e1266..  - 7*b385 + x906 =L= 0;

e1267..  - 7*b386 + x907 =L= 0;

e1268..  - 7*b387 + x908 =L= 0;

e1269..  - 7*b388 + x909 =L= 0;

e1270..  - 7*b389 + x910 =L= 0;

e1271..  - 7*b390 + x911 =L= 0;

e1272..  - 7*b391 + x912 =L= 0;

e1273..  - 7*b392 + x913 =L= 0;

e1274..  - 7*b393 + x914 =L= 0;

e1275..  - 7*b394 + x915 =L= 0;

e1276..  - 7*b395 + x916 =L= 0;

e1277..  - 7*b396 + x917 =L= 0;

e1278..  - 7*b397 + x918 =L= 0;

e1279..  - 7*b398 + x919 =L= 0;

e1280..  - 7*b399 + x920 =L= 0;

e1281..  - 7*b400 + x921 =L= 0;

e1282..  - 9*b401 + x922 =L= 0;

e1283..  - 9*b402 + x923 =L= 0;

e1284..  - 9*b403 + x924 =L= 0;

e1285..  - 9*b404 + x925 =L= 0;

e1286..  - 9*b405 + x926 =L= 0;

e1287..  - 9*b406 + x927 =L= 0;

e1288..  - 9*b407 + x928 =L= 0;

e1289..  - 9*b408 + x929 =L= 0;

e1290..  - 9*b409 + x930 =L= 0;

e1291..  - 9*b410 + x931 =L= 0;

e1292..  - 9*b411 + x932 =L= 0;

e1293..  - 9*b412 + x933 =L= 0;

e1294..  - 9*b413 + x934 =L= 0;

e1295..  - 9*b414 + x935 =L= 0;

e1296..  - 9*b415 + x936 =L= 0;

e1297..  - 9*b416 + x937 =L= 0;

e1298..  - 9*b417 + x938 =L= 0;

e1299..  - 9*b418 + x939 =L= 0;

e1300..  - 9*b419 + x940 =L= 0;

e1301..  - 9*b420 + x941 =L= 0;

e1302..  - 4*b421 + x942 =L= 0;

e1303..  - 4*b422 + x943 =L= 0;

e1304..  - 4*b423 + x944 =L= 0;

e1305..  - 4*b424 + x945 =L= 0;

e1306..  - 4*b425 + x946 =L= 0;

e1307..  - 4*b426 + x947 =L= 0;

e1308..  - 4*b427 + x948 =L= 0;

e1309..  - 4*b428 + x949 =L= 0;

e1310..  - 4*b429 + x950 =L= 0;

e1311..  - 4*b430 + x951 =L= 0;

e1312..  - 4*b431 + x952 =L= 0;

e1313..  - 4*b432 + x953 =L= 0;

e1314..  - 4*b433 + x954 =L= 0;

e1315..  - 4*b434 + x955 =L= 0;

e1316..  - 4*b435 + x956 =L= 0;

e1317..  - 4*b436 + x957 =L= 0;

e1318..  - 4*b437 + x958 =L= 0;

e1319..  - 4*b438 + x959 =L= 0;

e1320..  - 4*b439 + x960 =L= 0;

e1321..  - 4*b440 + x961 =L= 0;

e1322..  - 5*b441 + x962 =L= 0;

e1323..  - 5*b442 + x963 =L= 0;

e1324..  - 5*b443 + x964 =L= 0;

e1325..  - 5*b444 + x965 =L= 0;

e1326..  - 5*b445 + x966 =L= 0;

e1327..  - 5*b446 + x967 =L= 0;

e1328..  - 5*b447 + x968 =L= 0;

e1329..  - 5*b448 + x969 =L= 0;

e1330..  - 5*b449 + x970 =L= 0;

e1331..  - 5*b450 + x971 =L= 0;

e1332..  - 5*b451 + x972 =L= 0;

e1333..  - 5*b452 + x973 =L= 0;

e1334..  - 5*b453 + x974 =L= 0;

e1335..  - 5*b454 + x975 =L= 0;

e1336..  - 5*b455 + x976 =L= 0;

e1337..  - 5*b456 + x977 =L= 0;

e1338..  - 5*b457 + x978 =L= 0;

e1339..  - 5*b458 + x979 =L= 0;

e1340..  - 5*b459 + x980 =L= 0;

e1341..  - 5*b460 + x981 =L= 0;

e1342..    6*b61 + x982 =L= 6;

e1343..    6*b62 + x983 =L= 6;

e1344..    6*b63 + x984 =L= 6;

e1345..    6*b64 + x985 =L= 6;

e1346..    6*b65 + x986 =L= 6;

e1347..    6*b66 + x987 =L= 6;

e1348..    6*b67 + x988 =L= 6;

e1349..    6*b68 + x989 =L= 6;

e1350..    6*b69 + x990 =L= 6;

e1351..    6*b70 + x991 =L= 6;

e1352..    6*b71 + x992 =L= 6;

e1353..    6*b72 + x993 =L= 6;

e1354..    6*b73 + x994 =L= 6;

e1355..    6*b74 + x995 =L= 6;

e1356..    6*b75 + x996 =L= 6;

e1357..    6*b76 + x997 =L= 6;

e1358..    6*b77 + x998 =L= 6;

e1359..    6*b78 + x999 =L= 6;

e1360..    6*b79 + x1000 =L= 6;

e1361..    6*b80 + x1001 =L= 6;

e1362..    7*b81 + x1002 =L= 7;

e1363..    7*b82 + x1003 =L= 7;

e1364..    7*b83 + x1004 =L= 7;

e1365..    7*b84 + x1005 =L= 7;

e1366..    7*b85 + x1006 =L= 7;

e1367..    7*b86 + x1007 =L= 7;

e1368..    7*b87 + x1008 =L= 7;

e1369..    7*b88 + x1009 =L= 7;

e1370..    7*b89 + x1010 =L= 7;

e1371..    7*b90 + x1011 =L= 7;

e1372..    7*b91 + x1012 =L= 7;

e1373..    7*b92 + x1013 =L= 7;

e1374..    7*b93 + x1014 =L= 7;

e1375..    7*b94 + x1015 =L= 7;

e1376..    7*b95 + x1016 =L= 7;

e1377..    7*b96 + x1017 =L= 7;

e1378..    7*b97 + x1018 =L= 7;

e1379..    7*b98 + x1019 =L= 7;

e1380..    7*b99 + x1020 =L= 7;

e1381..    7*b100 + x1021 =L= 7;

e1382..    6*b101 + x1022 =L= 6;

e1383..    6*b102 + x1023 =L= 6;

e1384..    6*b103 + x1024 =L= 6;

e1385..    6*b104 + x1025 =L= 6;

e1386..    6*b105 + x1026 =L= 6;

e1387..    6*b106 + x1027 =L= 6;

e1388..    6*b107 + x1028 =L= 6;

e1389..    6*b108 + x1029 =L= 6;

e1390..    6*b109 + x1030 =L= 6;

e1391..    6*b110 + x1031 =L= 6;

e1392..    6*b111 + x1032 =L= 6;

e1393..    6*b112 + x1033 =L= 6;

e1394..    6*b113 + x1034 =L= 6;

e1395..    6*b114 + x1035 =L= 6;

e1396..    6*b115 + x1036 =L= 6;

e1397..    6*b116 + x1037 =L= 6;

e1398..    6*b117 + x1038 =L= 6;

e1399..    6*b118 + x1039 =L= 6;

e1400..    6*b119 + x1040 =L= 6;

e1401..    6*b120 + x1041 =L= 6;

e1402..    5*b121 + x1042 =L= 5;

e1403..    5*b122 + x1043 =L= 5;

e1404..    5*b123 + x1044 =L= 5;

e1405..    5*b124 + x1045 =L= 5;

e1406..    5*b125 + x1046 =L= 5;

e1407..    5*b126 + x1047 =L= 5;

e1408..    5*b127 + x1048 =L= 5;

e1409..    5*b128 + x1049 =L= 5;

e1410..    5*b129 + x1050 =L= 5;

e1411..    5*b130 + x1051 =L= 5;

e1412..    5*b131 + x1052 =L= 5;

e1413..    5*b132 + x1053 =L= 5;

e1414..    5*b133 + x1054 =L= 5;

e1415..    5*b134 + x1055 =L= 5;

e1416..    5*b135 + x1056 =L= 5;

e1417..    5*b136 + x1057 =L= 5;

e1418..    5*b137 + x1058 =L= 5;

e1419..    5*b138 + x1059 =L= 5;

e1420..    5*b139 + x1060 =L= 5;

e1421..    5*b140 + x1061 =L= 5;

e1422..    8*b141 + x1062 =L= 8;

e1423..    8*b142 + x1063 =L= 8;

e1424..    8*b143 + x1064 =L= 8;

e1425..    8*b144 + x1065 =L= 8;

e1426..    8*b145 + x1066 =L= 8;

e1427..    8*b146 + x1067 =L= 8;

e1428..    8*b147 + x1068 =L= 8;

e1429..    8*b148 + x1069 =L= 8;

e1430..    8*b149 + x1070 =L= 8;

e1431..    8*b150 + x1071 =L= 8;

e1432..    8*b151 + x1072 =L= 8;

e1433..    8*b152 + x1073 =L= 8;

e1434..    8*b153 + x1074 =L= 8;

e1435..    8*b154 + x1075 =L= 8;

e1436..    8*b155 + x1076 =L= 8;

e1437..    8*b156 + x1077 =L= 8;

e1438..    8*b157 + x1078 =L= 8;

e1439..    8*b158 + x1079 =L= 8;

e1440..    8*b159 + x1080 =L= 8;

e1441..    8*b160 + x1081 =L= 8;

e1442..    7*b161 + x1082 =L= 7;

e1443..    7*b162 + x1083 =L= 7;

e1444..    7*b163 + x1084 =L= 7;

e1445..    7*b164 + x1085 =L= 7;

e1446..    7*b165 + x1086 =L= 7;

e1447..    7*b166 + x1087 =L= 7;

e1448..    7*b167 + x1088 =L= 7;

e1449..    7*b168 + x1089 =L= 7;

e1450..    7*b169 + x1090 =L= 7;

e1451..    7*b170 + x1091 =L= 7;

e1452..    7*b171 + x1092 =L= 7;

e1453..    7*b172 + x1093 =L= 7;

e1454..    7*b173 + x1094 =L= 7;

e1455..    7*b174 + x1095 =L= 7;

e1456..    7*b175 + x1096 =L= 7;

e1457..    7*b176 + x1097 =L= 7;

e1458..    7*b177 + x1098 =L= 7;

e1459..    7*b178 + x1099 =L= 7;

e1460..    7*b179 + x1100 =L= 7;

e1461..    7*b180 + x1101 =L= 7;

e1462..    9*b181 + x1102 =L= 9;

e1463..    9*b182 + x1103 =L= 9;

e1464..    9*b183 + x1104 =L= 9;

e1465..    9*b184 + x1105 =L= 9;

e1466..    9*b185 + x1106 =L= 9;

e1467..    9*b186 + x1107 =L= 9;

e1468..    9*b187 + x1108 =L= 9;

e1469..    9*b188 + x1109 =L= 9;

e1470..    9*b189 + x1110 =L= 9;

e1471..    9*b190 + x1111 =L= 9;

e1472..    9*b191 + x1112 =L= 9;

e1473..    9*b192 + x1113 =L= 9;

e1474..    9*b193 + x1114 =L= 9;

e1475..    9*b194 + x1115 =L= 9;

e1476..    9*b195 + x1116 =L= 9;

e1477..    9*b196 + x1117 =L= 9;

e1478..    9*b197 + x1118 =L= 9;

e1479..    9*b198 + x1119 =L= 9;

e1480..    9*b199 + x1120 =L= 9;

e1481..    9*b200 + x1121 =L= 9;

e1482..    6*b201 + x1122 =L= 6;

e1483..    6*b202 + x1123 =L= 6;

e1484..    6*b203 + x1124 =L= 6;

e1485..    6*b204 + x1125 =L= 6;

e1486..    6*b205 + x1126 =L= 6;

e1487..    6*b206 + x1127 =L= 6;

e1488..    6*b207 + x1128 =L= 6;

e1489..    6*b208 + x1129 =L= 6;

e1490..    6*b209 + x1130 =L= 6;

e1491..    6*b210 + x1131 =L= 6;

e1492..    6*b211 + x1132 =L= 6;

e1493..    6*b212 + x1133 =L= 6;

e1494..    6*b213 + x1134 =L= 6;

e1495..    6*b214 + x1135 =L= 6;

e1496..    6*b215 + x1136 =L= 6;

e1497..    6*b216 + x1137 =L= 6;

e1498..    6*b217 + x1138 =L= 6;

e1499..    6*b218 + x1139 =L= 6;

e1500..    6*b219 + x1140 =L= 6;

e1501..    6*b220 + x1141 =L= 6;

e1502..    8*b221 + x1142 =L= 8;

e1503..    8*b222 + x1143 =L= 8;

e1504..    8*b223 + x1144 =L= 8;

e1505..    8*b224 + x1145 =L= 8;

e1506..    8*b225 + x1146 =L= 8;

e1507..    8*b226 + x1147 =L= 8;

e1508..    8*b227 + x1148 =L= 8;

e1509..    8*b228 + x1149 =L= 8;

e1510..    8*b229 + x1150 =L= 8;

e1511..    8*b230 + x1151 =L= 8;

e1512..    8*b231 + x1152 =L= 8;

e1513..    8*b232 + x1153 =L= 8;

e1514..    8*b233 + x1154 =L= 8;

e1515..    8*b234 + x1155 =L= 8;

e1516..    8*b235 + x1156 =L= 8;

e1517..    8*b236 + x1157 =L= 8;

e1518..    8*b237 + x1158 =L= 8;

e1519..    8*b238 + x1159 =L= 8;

e1520..    8*b239 + x1160 =L= 8;

e1521..    8*b240 + x1161 =L= 8;

e1522..    9*b241 + x1162 =L= 9;

e1523..    9*b242 + x1163 =L= 9;

e1524..    9*b243 + x1164 =L= 9;

e1525..    9*b244 + x1165 =L= 9;

e1526..    9*b245 + x1166 =L= 9;

e1527..    9*b246 + x1167 =L= 9;

e1528..    9*b247 + x1168 =L= 9;

e1529..    9*b248 + x1169 =L= 9;

e1530..    9*b249 + x1170 =L= 9;

e1531..    9*b250 + x1171 =L= 9;

e1532..    9*b251 + x1172 =L= 9;

e1533..    9*b252 + x1173 =L= 9;

e1534..    9*b253 + x1174 =L= 9;

e1535..    9*b254 + x1175 =L= 9;

e1536..    9*b255 + x1176 =L= 9;

e1537..    9*b256 + x1177 =L= 9;

e1538..    9*b257 + x1178 =L= 9;

e1539..    9*b258 + x1179 =L= 9;

e1540..    9*b259 + x1180 =L= 9;

e1541..    9*b260 + x1181 =L= 9;

e1542..    8*b261 + x1182 =L= 8;

e1543..    8*b262 + x1183 =L= 8;

e1544..    8*b263 + x1184 =L= 8;

e1545..    8*b264 + x1185 =L= 8;

e1546..    8*b265 + x1186 =L= 8;

e1547..    8*b266 + x1187 =L= 8;

e1548..    8*b267 + x1188 =L= 8;

e1549..    8*b268 + x1189 =L= 8;

e1550..    8*b269 + x1190 =L= 8;

e1551..    8*b270 + x1191 =L= 8;

e1552..    8*b271 + x1192 =L= 8;

e1553..    8*b272 + x1193 =L= 8;

e1554..    8*b273 + x1194 =L= 8;

e1555..    8*b274 + x1195 =L= 8;

e1556..    8*b275 + x1196 =L= 8;

e1557..    8*b276 + x1197 =L= 8;

e1558..    8*b277 + x1198 =L= 8;

e1559..    8*b278 + x1199 =L= 8;

e1560..    8*b279 + x1200 =L= 8;

e1561..    8*b280 + x1201 =L= 8;

e1562..    8*b281 + x1202 =L= 8;

e1563..    8*b282 + x1203 =L= 8;

e1564..    8*b283 + x1204 =L= 8;

e1565..    8*b284 + x1205 =L= 8;

e1566..    8*b285 + x1206 =L= 8;

e1567..    8*b286 + x1207 =L= 8;

e1568..    8*b287 + x1208 =L= 8;

e1569..    8*b288 + x1209 =L= 8;

e1570..    8*b289 + x1210 =L= 8;

e1571..    8*b290 + x1211 =L= 8;

e1572..    8*b291 + x1212 =L= 8;

e1573..    8*b292 + x1213 =L= 8;

e1574..    8*b293 + x1214 =L= 8;

e1575..    8*b294 + x1215 =L= 8;

e1576..    8*b295 + x1216 =L= 8;

e1577..    8*b296 + x1217 =L= 8;

e1578..    8*b297 + x1218 =L= 8;

e1579..    8*b298 + x1219 =L= 8;

e1580..    8*b299 + x1220 =L= 8;

e1581..    8*b300 + x1221 =L= 8;

e1582..    4*b301 + x1222 =L= 4;

e1583..    4*b302 + x1223 =L= 4;

e1584..    4*b303 + x1224 =L= 4;

e1585..    4*b304 + x1225 =L= 4;

e1586..    4*b305 + x1226 =L= 4;

e1587..    4*b306 + x1227 =L= 4;

e1588..    4*b307 + x1228 =L= 4;

e1589..    4*b308 + x1229 =L= 4;

e1590..    4*b309 + x1230 =L= 4;

e1591..    4*b310 + x1231 =L= 4;

e1592..    4*b311 + x1232 =L= 4;

e1593..    4*b312 + x1233 =L= 4;

e1594..    4*b313 + x1234 =L= 4;

e1595..    4*b314 + x1235 =L= 4;

e1596..    4*b315 + x1236 =L= 4;

e1597..    4*b316 + x1237 =L= 4;

e1598..    4*b317 + x1238 =L= 4;

e1599..    4*b318 + x1239 =L= 4;

e1600..    4*b319 + x1240 =L= 4;

e1601..    4*b320 + x1241 =L= 4;

e1602..    7*b321 + x1242 =L= 7;

e1603..    7*b322 + x1243 =L= 7;

e1604..    7*b323 + x1244 =L= 7;

e1605..    7*b324 + x1245 =L= 7;

e1606..    7*b325 + x1246 =L= 7;

e1607..    7*b326 + x1247 =L= 7;

e1608..    7*b327 + x1248 =L= 7;

e1609..    7*b328 + x1249 =L= 7;

e1610..    7*b329 + x1250 =L= 7;

e1611..    7*b330 + x1251 =L= 7;

e1612..    7*b331 + x1252 =L= 7;

e1613..    7*b332 + x1253 =L= 7;

e1614..    7*b333 + x1254 =L= 7;

e1615..    7*b334 + x1255 =L= 7;

e1616..    7*b335 + x1256 =L= 7;

e1617..    7*b336 + x1257 =L= 7;

e1618..    7*b337 + x1258 =L= 7;

e1619..    7*b338 + x1259 =L= 7;

e1620..    7*b339 + x1260 =L= 7;

e1621..    7*b340 + x1261 =L= 7;

e1622..    8*b341 + x1262 =L= 8;

e1623..    8*b342 + x1263 =L= 8;

e1624..    8*b343 + x1264 =L= 8;

e1625..    8*b344 + x1265 =L= 8;

e1626..    8*b345 + x1266 =L= 8;

e1627..    8*b346 + x1267 =L= 8;

e1628..    8*b347 + x1268 =L= 8;

e1629..    8*b348 + x1269 =L= 8;

e1630..    8*b349 + x1270 =L= 8;

e1631..    8*b350 + x1271 =L= 8;

e1632..    8*b351 + x1272 =L= 8;

e1633..    8*b352 + x1273 =L= 8;

e1634..    8*b353 + x1274 =L= 8;

e1635..    8*b354 + x1275 =L= 8;

e1636..    8*b355 + x1276 =L= 8;

e1637..    8*b356 + x1277 =L= 8;

e1638..    8*b357 + x1278 =L= 8;

e1639..    8*b358 + x1279 =L= 8;

e1640..    8*b359 + x1280 =L= 8;

e1641..    8*b360 + x1281 =L= 8;

e1642..    7*b361 + x1282 =L= 7;

e1643..    7*b362 + x1283 =L= 7;

e1644..    7*b363 + x1284 =L= 7;

e1645..    7*b364 + x1285 =L= 7;

e1646..    7*b365 + x1286 =L= 7;

e1647..    7*b366 + x1287 =L= 7;

e1648..    7*b367 + x1288 =L= 7;

e1649..    7*b368 + x1289 =L= 7;

e1650..    7*b369 + x1290 =L= 7;

e1651..    7*b370 + x1291 =L= 7;

e1652..    7*b371 + x1292 =L= 7;

e1653..    7*b372 + x1293 =L= 7;

e1654..    7*b373 + x1294 =L= 7;

e1655..    7*b374 + x1295 =L= 7;

e1656..    7*b375 + x1296 =L= 7;

e1657..    7*b376 + x1297 =L= 7;

e1658..    7*b377 + x1298 =L= 7;

e1659..    7*b378 + x1299 =L= 7;

e1660..    7*b379 + x1300 =L= 7;

e1661..    7*b380 + x1301 =L= 7;

e1662..    7*b381 + x1302 =L= 7;

e1663..    7*b382 + x1303 =L= 7;

e1664..    7*b383 + x1304 =L= 7;

e1665..    7*b384 + x1305 =L= 7;

e1666..    7*b385 + x1306 =L= 7;

e1667..    7*b386 + x1307 =L= 7;

e1668..    7*b387 + x1308 =L= 7;

e1669..    7*b388 + x1309 =L= 7;

e1670..    7*b389 + x1310 =L= 7;

e1671..    7*b390 + x1311 =L= 7;

e1672..    7*b391 + x1312 =L= 7;

e1673..    7*b392 + x1313 =L= 7;

e1674..    7*b393 + x1314 =L= 7;

e1675..    7*b394 + x1315 =L= 7;

e1676..    7*b395 + x1316 =L= 7;

e1677..    7*b396 + x1317 =L= 7;

e1678..    7*b397 + x1318 =L= 7;

e1679..    7*b398 + x1319 =L= 7;

e1680..    7*b399 + x1320 =L= 7;

e1681..    7*b400 + x1321 =L= 7;

e1682..    9*b401 + x1322 =L= 9;

e1683..    9*b402 + x1323 =L= 9;

e1684..    9*b403 + x1324 =L= 9;

e1685..    9*b404 + x1325 =L= 9;

e1686..    9*b405 + x1326 =L= 9;

e1687..    9*b406 + x1327 =L= 9;

e1688..    9*b407 + x1328 =L= 9;

e1689..    9*b408 + x1329 =L= 9;

e1690..    9*b409 + x1330 =L= 9;

e1691..    9*b410 + x1331 =L= 9;

e1692..    9*b411 + x1332 =L= 9;

e1693..    9*b412 + x1333 =L= 9;

e1694..    9*b413 + x1334 =L= 9;

e1695..    9*b414 + x1335 =L= 9;

e1696..    9*b415 + x1336 =L= 9;

e1697..    9*b416 + x1337 =L= 9;

e1698..    9*b417 + x1338 =L= 9;

e1699..    9*b418 + x1339 =L= 9;

e1700..    9*b419 + x1340 =L= 9;

e1701..    9*b420 + x1341 =L= 9;

e1702..    4*b421 + x1342 =L= 4;

e1703..    4*b422 + x1343 =L= 4;

e1704..    4*b423 + x1344 =L= 4;

e1705..    4*b424 + x1345 =L= 4;

e1706..    4*b425 + x1346 =L= 4;

e1707..    4*b426 + x1347 =L= 4;

e1708..    4*b427 + x1348 =L= 4;

e1709..    4*b428 + x1349 =L= 4;

e1710..    4*b429 + x1350 =L= 4;

e1711..    4*b430 + x1351 =L= 4;

e1712..    4*b431 + x1352 =L= 4;

e1713..    4*b432 + x1353 =L= 4;

e1714..    4*b433 + x1354 =L= 4;

e1715..    4*b434 + x1355 =L= 4;

e1716..    4*b435 + x1356 =L= 4;

e1717..    4*b436 + x1357 =L= 4;

e1718..    4*b437 + x1358 =L= 4;

e1719..    4*b438 + x1359 =L= 4;

e1720..    4*b439 + x1360 =L= 4;

e1721..    4*b440 + x1361 =L= 4;

e1722..    5*b441 + x1362 =L= 5;

e1723..    5*b442 + x1363 =L= 5;

e1724..    5*b443 + x1364 =L= 5;

e1725..    5*b444 + x1365 =L= 5;

e1726..    5*b445 + x1366 =L= 5;

e1727..    5*b446 + x1367 =L= 5;

e1728..    5*b447 + x1368 =L= 5;

e1729..    5*b448 + x1369 =L= 5;

e1730..    5*b449 + x1370 =L= 5;

e1731..    5*b450 + x1371 =L= 5;

e1732..    5*b451 + x1372 =L= 5;

e1733..    5*b452 + x1373 =L= 5;

e1734..    5*b453 + x1374 =L= 5;

e1735..    5*b454 + x1375 =L= 5;

e1736..    5*b455 + x1376 =L= 5;

e1737..    5*b456 + x1377 =L= 5;

e1738..    5*b457 + x1378 =L= 5;

e1739..    5*b458 + x1379 =L= 5;

e1740..    5*b459 + x1380 =L= 5;

e1741..    5*b460 + x1381 =L= 5;

e1742..  - 2181.59934661036*b61 - 610.717291691756*b62 - 1152.3051443409*b63
         - 1195.65221607036*b64 - 7.49190417623649*b65 - 144.242366295902*b66
         - 1948.11138522726*b67 - 25.2933485215505*b68 - 1150.43516387048*b69
         - 25.693821722884*b70 - 4.58146305944256*b71 - 1419.23366267117*b72
         - 2435.610966361*b73 - 0.550484831446223*b74 - 53.9207108030273*b75
         - 2455.10161723632*b76 - 43.6877031386228*b77 - 18.244218964155*b78
         - 86.4422576002592*b79 - 1560.89717189576*b80 + x1382 + x1402 + x1422
         =E= 0;

e1743..  - 2181.59934661036*b81 - 610.717291691756*b82 - 1152.3051443409*b83
         - 1195.65221607036*b84 - 7.49190417623649*b85 - 144.242366295902*b86
         - 1948.11138522726*b87 - 25.2933485215505*b88 - 1150.43516387048*b89
         - 25.693821722884*b90 - 4.58146305944256*b91 - 1419.23366267117*b92
         - 2435.610966361*b93 - 0.550484831446223*b94 - 53.9207108030273*b95
         - 2455.10161723632*b96 - 43.6877031386228*b97 - 18.244218964155*b98
         - 86.4422576002592*b99 - 1560.89717189576*b100 + x1383 + x1403 + x1423
         =E= 0;

e1744..  - 2181.59934661036*b101 - 610.717291691756*b102 - 1152.3051443409*b103
         - 1195.65221607036*b104 - 7.49190417623649*b105
         - 144.242366295902*b106 - 1948.11138522726*b107
         - 25.2933485215505*b108 - 1150.43516387048*b109 - 25.693821722884*b110
         - 4.58146305944256*b111 - 1419.23366267117*b112 - 2435.610966361*b113
         - 0.550484831446223*b114 - 53.9207108030273*b115
         - 2455.10161723632*b116 - 43.6877031386228*b117 - 18.244218964155*b118
         - 86.4422576002592*b119 - 1560.89717189576*b120 + x1384 + x1404
         + x1424 =E= 0;

e1745..  - 2181.59934661036*b121 - 610.717291691756*b122 - 1152.3051443409*b123
         - 1195.65221607036*b124 - 7.49190417623649*b125
         - 144.242366295902*b126 - 1948.11138522726*b127
         - 25.2933485215505*b128 - 1150.43516387048*b129 - 25.693821722884*b130
         - 4.58146305944256*b131 - 1419.23366267117*b132 - 2435.610966361*b133
         - 0.550484831446223*b134 - 53.9207108030273*b135
         - 2455.10161723632*b136 - 43.6877031386228*b137 - 18.244218964155*b138
         - 86.4422576002592*b139 - 1560.89717189576*b140 + x1385 + x1405
         + x1425 =E= 0;

e1746..  - 2181.59934661036*b141 - 610.717291691756*b142 - 1152.3051443409*b143
         - 1195.65221607036*b144 - 7.49190417623649*b145
         - 144.242366295902*b146 - 1948.11138522726*b147
         - 25.2933485215505*b148 - 1150.43516387048*b149 - 25.693821722884*b150
         - 4.58146305944256*b151 - 1419.23366267117*b152 - 2435.610966361*b153
         - 0.550484831446223*b154 - 53.9207108030273*b155
         - 2455.10161723632*b156 - 43.6877031386228*b157 - 18.244218964155*b158
         - 86.4422576002592*b159 - 1560.89717189576*b160 + x1386 + x1406
         + x1426 =E= 0;

e1747..  - 2181.59934661036*b161 - 610.717291691756*b162 - 1152.3051443409*b163
         - 1195.65221607036*b164 - 7.49190417623649*b165
         - 144.242366295902*b166 - 1948.11138522726*b167
         - 25.2933485215505*b168 - 1150.43516387048*b169 - 25.693821722884*b170
         - 4.58146305944256*b171 - 1419.23366267117*b172 - 2435.610966361*b173
         - 0.550484831446223*b174 - 53.9207108030273*b175
         - 2455.10161723632*b176 - 43.6877031386228*b177 - 18.244218964155*b178
         - 86.4422576002592*b179 - 1560.89717189576*b180 + x1387 + x1407
         + x1427 =E= 0;

e1748..  - 2181.59934661036*b181 - 610.717291691756*b182 - 1152.3051443409*b183
         - 1195.65221607036*b184 - 7.49190417623649*b185
         - 144.242366295902*b186 - 1948.11138522726*b187
         - 25.2933485215505*b188 - 1150.43516387048*b189 - 25.693821722884*b190
         - 4.58146305944256*b191 - 1419.23366267117*b192 - 2435.610966361*b193
         - 0.550484831446223*b194 - 53.9207108030273*b195
         - 2455.10161723632*b196 - 43.6877031386228*b197 - 18.244218964155*b198
         - 86.4422576002592*b199 - 1560.89717189576*b200 + x1388 + x1408
         + x1428 =E= 0;

e1749..  - 2181.59934661036*b201 - 610.717291691756*b202 - 1152.3051443409*b203
         - 1195.65221607036*b204 - 7.49190417623649*b205
         - 144.242366295902*b206 - 1948.11138522726*b207
         - 25.2933485215505*b208 - 1150.43516387048*b209 - 25.693821722884*b210
         - 4.58146305944256*b211 - 1419.23366267117*b212 - 2435.610966361*b213
         - 0.550484831446223*b214 - 53.9207108030273*b215
         - 2455.10161723632*b216 - 43.6877031386228*b217 - 18.244218964155*b218
         - 86.4422576002592*b219 - 1560.89717189576*b220 + x1389 + x1409
         + x1429 =E= 0;

e1750..  - 2181.59934661036*b221 - 610.717291691756*b222 - 1152.3051443409*b223
         - 1195.65221607036*b224 - 7.49190417623649*b225
         - 144.242366295902*b226 - 1948.11138522726*b227
         - 25.2933485215505*b228 - 1150.43516387048*b229 - 25.693821722884*b230
         - 4.58146305944256*b231 - 1419.23366267117*b232 - 2435.610966361*b233
         - 0.550484831446223*b234 - 53.9207108030273*b235
         - 2455.10161723632*b236 - 43.6877031386228*b237 - 18.244218964155*b238
         - 86.4422576002592*b239 - 1560.89717189576*b240 + x1390 + x1410
         + x1430 =E= 0;

e1751..  - 2181.59934661036*b241 - 610.717291691756*b242 - 1152.3051443409*b243
         - 1195.65221607036*b244 - 7.49190417623649*b245
         - 144.242366295902*b246 - 1948.11138522726*b247
         - 25.2933485215505*b248 - 1150.43516387048*b249 - 25.693821722884*b250
         - 4.58146305944256*b251 - 1419.23366267117*b252 - 2435.610966361*b253
         - 0.550484831446223*b254 - 53.9207108030273*b255
         - 2455.10161723632*b256 - 43.6877031386228*b257 - 18.244218964155*b258
         - 86.4422576002592*b259 - 1560.89717189576*b260 + x1391 + x1411
         + x1431 =E= 0;

e1752..  - 2181.59934661036*b261 - 610.717291691756*b262 - 1152.3051443409*b263
         - 1195.65221607036*b264 - 7.49190417623649*b265
         - 144.242366295902*b266 - 1948.11138522726*b267
         - 25.2933485215505*b268 - 1150.43516387048*b269 - 25.693821722884*b270
         - 4.58146305944256*b271 - 1419.23366267117*b272 - 2435.610966361*b273
         - 0.550484831446223*b274 - 53.9207108030273*b275
         - 2455.10161723632*b276 - 43.6877031386228*b277 - 18.244218964155*b278
         - 86.4422576002592*b279 - 1560.89717189576*b280 + x1392 + x1412
         + x1432 =E= 0;

e1753..  - 2181.59934661036*b281 - 610.717291691756*b282 - 1152.3051443409*b283
         - 1195.65221607036*b284 - 7.49190417623649*b285
         - 144.242366295902*b286 - 1948.11138522726*b287
         - 25.2933485215505*b288 - 1150.43516387048*b289 - 25.693821722884*b290
         - 4.58146305944256*b291 - 1419.23366267117*b292 - 2435.610966361*b293
         - 0.550484831446223*b294 - 53.9207108030273*b295
         - 2455.10161723632*b296 - 43.6877031386228*b297 - 18.244218964155*b298
         - 86.4422576002592*b299 - 1560.89717189576*b300 + x1393 + x1413
         + x1433 =E= 0;

e1754..  - 2181.59934661036*b301 - 610.717291691756*b302 - 1152.3051443409*b303
         - 1195.65221607036*b304 - 7.49190417623649*b305
         - 144.242366295902*b306 - 1948.11138522726*b307
         - 25.2933485215505*b308 - 1150.43516387048*b309 - 25.693821722884*b310
         - 4.58146305944256*b311 - 1419.23366267117*b312 - 2435.610966361*b313
         - 0.550484831446223*b314 - 53.9207108030273*b315
         - 2455.10161723632*b316 - 43.6877031386228*b317 - 18.244218964155*b318
         - 86.4422576002592*b319 - 1560.89717189576*b320 + x1394 + x1414
         + x1434 =E= 0;

e1755..  - 2181.59934661036*b321 - 610.717291691756*b322 - 1152.3051443409*b323
         - 1195.65221607036*b324 - 7.49190417623649*b325
         - 144.242366295902*b326 - 1948.11138522726*b327
         - 25.2933485215505*b328 - 1150.43516387048*b329 - 25.693821722884*b330
         - 4.58146305944256*b331 - 1419.23366267117*b332 - 2435.610966361*b333
         - 0.550484831446223*b334 - 53.9207108030273*b335
         - 2455.10161723632*b336 - 43.6877031386228*b337 - 18.244218964155*b338
         - 86.4422576002592*b339 - 1560.89717189576*b340 + x1395 + x1415
         + x1435 =E= 0;

e1756..  - 2181.59934661036*b341 - 610.717291691756*b342 - 1152.3051443409*b343
         - 1195.65221607036*b344 - 7.49190417623649*b345
         - 144.242366295902*b346 - 1948.11138522726*b347
         - 25.2933485215505*b348 - 1150.43516387048*b349 - 25.693821722884*b350
         - 4.58146305944256*b351 - 1419.23366267117*b352 - 2435.610966361*b353
         - 0.550484831446223*b354 - 53.9207108030273*b355
         - 2455.10161723632*b356 - 43.6877031386228*b357 - 18.244218964155*b358
         - 86.4422576002592*b359 - 1560.89717189576*b360 + x1396 + x1416
         + x1436 =E= 0;

e1757..  - 2181.59934661036*b361 - 610.717291691756*b362 - 1152.3051443409*b363
         - 1195.65221607036*b364 - 7.49190417623649*b365
         - 144.242366295902*b366 - 1948.11138522726*b367
         - 25.2933485215505*b368 - 1150.43516387048*b369 - 25.693821722884*b370
         - 4.58146305944256*b371 - 1419.23366267117*b372 - 2435.610966361*b373
         - 0.550484831446223*b374 - 53.9207108030273*b375
         - 2455.10161723632*b376 - 43.6877031386228*b377 - 18.244218964155*b378
         - 86.4422576002592*b379 - 1560.89717189576*b380 + x1397 + x1417
         + x1437 =E= 0;

e1758..  - 2181.59934661036*b381 - 610.717291691756*b382 - 1152.3051443409*b383
         - 1195.65221607036*b384 - 7.49190417623649*b385
         - 144.242366295902*b386 - 1948.11138522726*b387
         - 25.2933485215505*b388 - 1150.43516387048*b389 - 25.693821722884*b390
         - 4.58146305944256*b391 - 1419.23366267117*b392 - 2435.610966361*b393
         - 0.550484831446223*b394 - 53.9207108030273*b395
         - 2455.10161723632*b396 - 43.6877031386228*b397 - 18.244218964155*b398
         - 86.4422576002592*b399 - 1560.89717189576*b400 + x1398 + x1418
         + x1438 =E= 0;

e1759..  - 2181.59934661036*b401 - 610.717291691756*b402 - 1152.3051443409*b403
         - 1195.65221607036*b404 - 7.49190417623649*b405
         - 144.242366295902*b406 - 1948.11138522726*b407
         - 25.2933485215505*b408 - 1150.43516387048*b409 - 25.693821722884*b410
         - 4.58146305944256*b411 - 1419.23366267117*b412 - 2435.610966361*b413
         - 0.550484831446223*b414 - 53.9207108030273*b415
         - 2455.10161723632*b416 - 43.6877031386228*b417 - 18.244218964155*b418
         - 86.4422576002592*b419 - 1560.89717189576*b420 + x1399 + x1419
         + x1439 =E= 0;

e1760..  - 2181.59934661036*b421 - 610.717291691756*b422 - 1152.3051443409*b423
         - 1195.65221607036*b424 - 7.49190417623649*b425
         - 144.242366295902*b426 - 1948.11138522726*b427
         - 25.2933485215505*b428 - 1150.43516387048*b429 - 25.693821722884*b430
         - 4.58146305944256*b431 - 1419.23366267117*b432 - 2435.610966361*b433
         - 0.550484831446223*b434 - 53.9207108030273*b435
         - 2455.10161723632*b436 - 43.6877031386228*b437 - 18.244218964155*b438
         - 86.4422576002592*b439 - 1560.89717189576*b440 + x1400 + x1420
         + x1440 =E= 0;

e1761..  - 2181.59934661036*b441 - 610.717291691756*b442 - 1152.3051443409*b443
         - 1195.65221607036*b444 - 7.49190417623649*b445
         - 144.242366295902*b446 - 1948.11138522726*b447
         - 25.2933485215505*b448 - 1150.43516387048*b449 - 25.693821722884*b450
         - 4.58146305944256*b451 - 1419.23366267117*b452 - 2435.610966361*b453
         - 0.550484831446223*b454 - 53.9207108030273*b455
         - 2455.10161723632*b456 - 43.6877031386228*b457 - 18.244218964155*b458
         - 86.4422576002592*b459 - 1560.89717189576*b460 + x1401 + x1421
         + x1441 =E= 0;

e1762..  - 16519.8122450889*b1 + x1382 =L= 0;

e1763..  - 16519.8122450889*b2 + x1383 =L= 0;

e1764..  - 16519.8122450889*b3 + x1384 =L= 0;

e1765..  - 16519.8122450889*b4 + x1385 =L= 0;

e1766..  - 16519.8122450889*b5 + x1386 =L= 0;

e1767..  - 16519.8122450889*b6 + x1387 =L= 0;

e1768..  - 16519.8122450889*b7 + x1388 =L= 0;

e1769..  - 16519.8122450889*b8 + x1389 =L= 0;

e1770..  - 16519.8122450889*b9 + x1390 =L= 0;

e1771..  - 16519.8122450889*b10 + x1391 =L= 0;

e1772..  - 16519.8122450889*b11 + x1392 =L= 0;

e1773..  - 16519.8122450889*b12 + x1393 =L= 0;

e1774..  - 16519.8122450889*b13 + x1394 =L= 0;

e1775..  - 16519.8122450889*b14 + x1395 =L= 0;

e1776..  - 16519.8122450889*b15 + x1396 =L= 0;

e1777..  - 16519.8122450889*b16 + x1397 =L= 0;

e1778..  - 16519.8122450889*b17 + x1398 =L= 0;

e1779..  - 16519.8122450889*b18 + x1399 =L= 0;

e1780..  - 16519.8122450889*b19 + x1400 =L= 0;

e1781..  - 16519.8122450889*b20 + x1401 =L= 0;

e1782..  - 16519.8122450889*b21 + x1402 =L= 0;

e1783..  - 16519.8122450889*b22 + x1403 =L= 0;

e1784..  - 16519.8122450889*b23 + x1404 =L= 0;

e1785..  - 16519.8122450889*b24 + x1405 =L= 0;

e1786..  - 16519.8122450889*b25 + x1406 =L= 0;

e1787..  - 16519.8122450889*b26 + x1407 =L= 0;

e1788..  - 16519.8122450889*b27 + x1408 =L= 0;

e1789..  - 16519.8122450889*b28 + x1409 =L= 0;

e1790..  - 16519.8122450889*b29 + x1410 =L= 0;

e1791..  - 16519.8122450889*b30 + x1411 =L= 0;

e1792..  - 16519.8122450889*b31 + x1412 =L= 0;

e1793..  - 16519.8122450889*b32 + x1413 =L= 0;

e1794..  - 16519.8122450889*b33 + x1414 =L= 0;

e1795..  - 16519.8122450889*b34 + x1415 =L= 0;

e1796..  - 16519.8122450889*b35 + x1416 =L= 0;

e1797..  - 16519.8122450889*b36 + x1417 =L= 0;

e1798..  - 16519.8122450889*b37 + x1418 =L= 0;

e1799..  - 16519.8122450889*b38 + x1419 =L= 0;

e1800..  - 16519.8122450889*b39 + x1420 =L= 0;

e1801..  - 16519.8122450889*b40 + x1421 =L= 0;

e1802..    16519.8122450889*b41 + x1422 =L= 16519.8122450889;

e1803..    16519.8122450889*b42 + x1423 =L= 16519.8122450889;

e1804..    16519.8122450889*b43 + x1424 =L= 16519.8122450889;

e1805..    16519.8122450889*b44 + x1425 =L= 16519.8122450889;

e1806..    16519.8122450889*b45 + x1426 =L= 16519.8122450889;

e1807..    16519.8122450889*b46 + x1427 =L= 16519.8122450889;

e1808..    16519.8122450889*b47 + x1428 =L= 16519.8122450889;

e1809..    16519.8122450889*b48 + x1429 =L= 16519.8122450889;

e1810..    16519.8122450889*b49 + x1430 =L= 16519.8122450889;

e1811..    16519.8122450889*b50 + x1431 =L= 16519.8122450889;

e1812..    16519.8122450889*b51 + x1432 =L= 16519.8122450889;

e1813..    16519.8122450889*b52 + x1433 =L= 16519.8122450889;

e1814..    16519.8122450889*b53 + x1434 =L= 16519.8122450889;

e1815..    16519.8122450889*b54 + x1435 =L= 16519.8122450889;

e1816..    16519.8122450889*b55 + x1436 =L= 16519.8122450889;

e1817..    16519.8122450889*b56 + x1437 =L= 16519.8122450889;

e1818..    16519.8122450889*b57 + x1438 =L= 16519.8122450889;

e1819..    16519.8122450889*b58 + x1439 =L= 16519.8122450889;

e1820..    16519.8122450889*b59 + x1440 =L= 16519.8122450889;

e1821..    16519.8122450889*b60 + x1441 =L= 16519.8122450889;

e1822..    x562 + 2181.59934661036*x582 + 610.717291691756*x583
         + 1152.3051443409*x584 + 1195.65221607036*x585 + 7.49190417623649*x586
         + 144.242366295902*x587 + 1948.11138522726*x588
         + 25.2933485215505*x589 + 1150.43516387048*x590 + 25.693821722884*x591
         + 4.58146305944256*x592 + 1419.23366267117*x593 + 2435.610966361*x594
         + 0.550484831446223*x595 + 53.9207108030273*x596
         + 2455.10161723632*x597 + 43.6877031386228*x598 + 18.244218964155*x599
         + 86.4422576002592*x600 + 1560.89717189576*x601 - 6*x1382 - 5*x1402
         =E= 0;

e1823..    x563 + 2181.59934661036*x602 + 610.717291691756*x603
         + 1152.3051443409*x604 + 1195.65221607036*x605 + 7.49190417623649*x606
         + 144.242366295902*x607 + 1948.11138522726*x608
         + 25.2933485215505*x609 + 1150.43516387048*x610 + 25.693821722884*x611
         + 4.58146305944256*x612 + 1419.23366267117*x613 + 2435.610966361*x614
         + 0.550484831446223*x615 + 53.9207108030273*x616
         + 2455.10161723632*x617 + 43.6877031386228*x618 + 18.244218964155*x619
         + 86.4422576002592*x620 + 1560.89717189576*x621 - 4*x1383 - 7*x1403
         =E= 0;

e1824..    x564 + 2181.59934661036*x622 + 610.717291691756*x623
         + 1152.3051443409*x624 + 1195.65221607036*x625 + 7.49190417623649*x626
         + 144.242366295902*x627 + 1948.11138522726*x628
         + 25.2933485215505*x629 + 1150.43516387048*x630 + 25.693821722884*x631
         + 4.58146305944256*x632 + 1419.23366267117*x633 + 2435.610966361*x634
         + 0.550484831446223*x635 + 53.9207108030273*x636
         + 2455.10161723632*x637 + 43.6877031386228*x638 + 18.244218964155*x639
         + 86.4422576002592*x640 + 1560.89717189576*x641 - 6*x1384 - 3*x1404
         =E= 0;

e1825..    x565 + 2181.59934661036*x642 + 610.717291691756*x643
         + 1152.3051443409*x644 + 1195.65221607036*x645 + 7.49190417623649*x646
         + 144.242366295902*x647 + 1948.11138522726*x648
         + 25.2933485215505*x649 + 1150.43516387048*x650 + 25.693821722884*x651
         + 4.58146305944256*x652 + 1419.23366267117*x653 + 2435.610966361*x654
         + 0.550484831446223*x655 + 53.9207108030273*x656
         + 2455.10161723632*x657 + 43.6877031386228*x658 + 18.244218964155*x659
         + 86.4422576002592*x660 + 1560.89717189576*x661 - 5*x1385 - 2*x1405
         =E= 0;

e1826..    x566 + 2181.59934661036*x662 + 610.717291691756*x663
         + 1152.3051443409*x664 + 1195.65221607036*x665 + 7.49190417623649*x666
         + 144.242366295902*x667 + 1948.11138522726*x668
         + 25.2933485215505*x669 + 1150.43516387048*x670 + 25.693821722884*x671
         + 4.58146305944256*x672 + 1419.23366267117*x673 + 2435.610966361*x674
         + 0.550484831446223*x675 + 53.9207108030273*x676
         + 2455.10161723632*x677 + 43.6877031386228*x678 + 18.244218964155*x679
         + 86.4422576002592*x680 + 1560.89717189576*x681 - 8*x1386 - 6*x1406
         =E= 0;

e1827..    x567 + 2181.59934661036*x682 + 610.717291691756*x683
         + 1152.3051443409*x684 + 1195.65221607036*x685 + 7.49190417623649*x686
         + 144.242366295902*x687 + 1948.11138522726*x688
         + 25.2933485215505*x689 + 1150.43516387048*x690 + 25.693821722884*x691
         + 4.58146305944256*x692 + 1419.23366267117*x693 + 2435.610966361*x694
         + 0.550484831446223*x695 + 53.9207108030273*x696
         + 2455.10161723632*x697 + 43.6877031386228*x698 + 18.244218964155*x699
         + 86.4422576002592*x700 + 1560.89717189576*x701 - 7*x1387 - 6*x1407
         =E= 0;

e1828..    x568 + 2181.59934661036*x702 + 610.717291691756*x703
         + 1152.3051443409*x704 + 1195.65221607036*x705 + 7.49190417623649*x706
         + 144.242366295902*x707 + 1948.11138522726*x708
         + 25.2933485215505*x709 + 1150.43516387048*x710 + 25.693821722884*x711
         + 4.58146305944256*x712 + 1419.23366267117*x713 + 2435.610966361*x714
         + 0.550484831446223*x715 + 53.9207108030273*x716
         + 2455.10161723632*x717 + 43.6877031386228*x718 + 18.244218964155*x719
         + 86.4422576002592*x720 + 1560.89717189576*x721 - 9*x1388 - 4*x1408
         =E= 0;

e1829..    x569 + 2181.59934661036*x722 + 610.717291691756*x723
         + 1152.3051443409*x724 + 1195.65221607036*x725 + 7.49190417623649*x726
         + 144.242366295902*x727 + 1948.11138522726*x728
         + 25.2933485215505*x729 + 1150.43516387048*x730 + 25.693821722884*x731
         + 4.58146305944256*x732 + 1419.23366267117*x733 + 2435.610966361*x734
         + 0.550484831446223*x735 + 53.9207108030273*x736
         + 2455.10161723632*x737 + 43.6877031386228*x738 + 18.244218964155*x739
         + 86.4422576002592*x740 + 1560.89717189576*x741 - 6*x1389 - 4*x1409
         =E= 0;

e1830..    x570 + 2181.59934661036*x742 + 610.717291691756*x743
         + 1152.3051443409*x744 + 1195.65221607036*x745 + 7.49190417623649*x746
         + 144.242366295902*x747 + 1948.11138522726*x748
         + 25.2933485215505*x749 + 1150.43516387048*x750 + 25.693821722884*x751
         + 4.58146305944256*x752 + 1419.23366267117*x753 + 2435.610966361*x754
         + 0.550484831446223*x755 + 53.9207108030273*x756
         + 2455.10161723632*x757 + 43.6877031386228*x758 + 18.244218964155*x759
         + 86.4422576002592*x760 + 1560.89717189576*x761 - 8*x1390 - 3*x1410
         =E= 0;

e1831..    x571 + 2181.59934661036*x762 + 610.717291691756*x763
         + 1152.3051443409*x764 + 1195.65221607036*x765 + 7.49190417623649*x766
         + 144.242366295902*x767 + 1948.11138522726*x768
         + 25.2933485215505*x769 + 1150.43516387048*x770 + 25.693821722884*x771
         + 4.58146305944256*x772 + 1419.23366267117*x773 + 2435.610966361*x774
         + 0.550484831446223*x775 + 53.9207108030273*x776
         + 2455.10161723632*x777 + 43.6877031386228*x778 + 18.244218964155*x779
         + 86.4422576002592*x780 + 1560.89717189576*x781 - 9*x1391 - 3*x1411
         =E= 0;

e1832..    x572 + 2181.59934661036*x782 + 610.717291691756*x783
         + 1152.3051443409*x784 + 1195.65221607036*x785 + 7.49190417623649*x786
         + 144.242366295902*x787 + 1948.11138522726*x788
         + 25.2933485215505*x789 + 1150.43516387048*x790 + 25.693821722884*x791
         + 4.58146305944256*x792 + 1419.23366267117*x793 + 2435.610966361*x794
         + 0.550484831446223*x795 + 53.9207108030273*x796
         + 2455.10161723632*x797 + 43.6877031386228*x798 + 18.244218964155*x799
         + 86.4422576002592*x800 + 1560.89717189576*x801 - 8*x1392 - 2*x1412
         =E= 0;

e1833..    x573 + 2181.59934661036*x802 + 610.717291691756*x803
         + 1152.3051443409*x804 + 1195.65221607036*x805 + 7.49190417623649*x806
         + 144.242366295902*x807 + 1948.11138522726*x808
         + 25.2933485215505*x809 + 1150.43516387048*x810 + 25.693821722884*x811
         + 4.58146305944256*x812 + 1419.23366267117*x813 + 2435.610966361*x814
         + 0.550484831446223*x815 + 53.9207108030273*x816
         + 2455.10161723632*x817 + 43.6877031386228*x818 + 18.244218964155*x819
         + 86.4422576002592*x820 + 1560.89717189576*x821 - 5*x1393 - 8*x1413
         =E= 0;

e1834..    x574 + 2181.59934661036*x822 + 610.717291691756*x823
         + 1152.3051443409*x824 + 1195.65221607036*x825 + 7.49190417623649*x826
         + 144.242366295902*x827 + 1948.11138522726*x828
         + 25.2933485215505*x829 + 1150.43516387048*x830 + 25.693821722884*x831
         + 4.58146305944256*x832 + 1419.23366267117*x833 + 2435.610966361*x834
         + 0.550484831446223*x835 + 53.9207108030273*x836
         + 2455.10161723632*x837 + 43.6877031386228*x838 + 18.244218964155*x839
         + 86.4422576002592*x840 + 1560.89717189576*x841 - 4*x1394 - 4*x1414
         =E= 0;

e1835..    x575 + 2181.59934661036*x842 + 610.717291691756*x843
         + 1152.3051443409*x844 + 1195.65221607036*x845 + 7.49190417623649*x846
         + 144.242366295902*x847 + 1948.11138522726*x848
         + 25.2933485215505*x849 + 1150.43516387048*x850 + 25.693821722884*x851
         + 4.58146305944256*x852 + 1419.23366267117*x853 + 2435.610966361*x854
         + 0.550484831446223*x855 + 53.9207108030273*x856
         + 2455.10161723632*x857 + 43.6877031386228*x858 + 18.244218964155*x859
         + 86.4422576002592*x860 + 1560.89717189576*x861 - 4*x1395 - 7*x1415
         =E= 0;

e1836..    x576 + 2181.59934661036*x862 + 610.717291691756*x863
         + 1152.3051443409*x864 + 1195.65221607036*x865 + 7.49190417623649*x866
         + 144.242366295902*x867 + 1948.11138522726*x868
         + 25.2933485215505*x869 + 1150.43516387048*x870 + 25.693821722884*x871
         + 4.58146305944256*x872 + 1419.23366267117*x873 + 2435.610966361*x874
         + 0.550484831446223*x875 + 53.9207108030273*x876
         + 2455.10161723632*x877 + 43.6877031386228*x878 + 18.244218964155*x879
         + 86.4422576002592*x880 + 1560.89717189576*x881 - 8*x1396 - 4*x1416
         =E= 0;

e1837..    x577 + 2181.59934661036*x882 + 610.717291691756*x883
         + 1152.3051443409*x884 + 1195.65221607036*x885 + 7.49190417623649*x886
         + 144.242366295902*x887 + 1948.11138522726*x888
         + 25.2933485215505*x889 + 1150.43516387048*x890 + 25.693821722884*x891
         + 4.58146305944256*x892 + 1419.23366267117*x893 + 2435.610966361*x894
         + 0.550484831446223*x895 + 53.9207108030273*x896
         + 2455.10161723632*x897 + 43.6877031386228*x898 + 18.244218964155*x899
         + 86.4422576002592*x900 + 1560.89717189576*x901 - 7*x1397 - 2*x1417
         =E= 0;

e1838..    x578 + 2181.59934661036*x902 + 610.717291691756*x903
         + 1152.3051443409*x904 + 1195.65221607036*x905 + 7.49190417623649*x906
         + 144.242366295902*x907 + 1948.11138522726*x908
         + 25.2933485215505*x909 + 1150.43516387048*x910 + 25.693821722884*x911
         + 4.58146305944256*x912 + 1419.23366267117*x913 + 2435.610966361*x914
         + 0.550484831446223*x915 + 53.9207108030273*x916
         + 2455.10161723632*x917 + 43.6877031386228*x918 + 18.244218964155*x919
         + 86.4422576002592*x920 + 1560.89717189576*x921 - 4*x1398 - 7*x1418
         =E= 0;

e1839..    x579 + 2181.59934661036*x922 + 610.717291691756*x923
         + 1152.3051443409*x924 + 1195.65221607036*x925 + 7.49190417623649*x926
         + 144.242366295902*x927 + 1948.11138522726*x928
         + 25.2933485215505*x929 + 1150.43516387048*x930 + 25.693821722884*x931
         + 4.58146305944256*x932 + 1419.23366267117*x933 + 2435.610966361*x934
         + 0.550484831446223*x935 + 53.9207108030273*x936
         + 2455.10161723632*x937 + 43.6877031386228*x938 + 18.244218964155*x939
         + 86.4422576002592*x940 + 1560.89717189576*x941 - 9*x1399 - 2*x1419
         =E= 0;

e1840..    x580 + 2181.59934661036*x942 + 610.717291691756*x943
         + 1152.3051443409*x944 + 1195.65221607036*x945 + 7.49190417623649*x946
         + 144.242366295902*x947 + 1948.11138522726*x948
         + 25.2933485215505*x949 + 1150.43516387048*x950 + 25.693821722884*x951
         + 4.58146305944256*x952 + 1419.23366267117*x953 + 2435.610966361*x954
         + 0.550484831446223*x955 + 53.9207108030273*x956
         + 2455.10161723632*x957 + 43.6877031386228*x958 + 18.244218964155*x959
         + 86.4422576002592*x960 + 1560.89717189576*x961 - 4*x1400 - 3*x1420
         =E= 0;

e1841..    x581 + 2181.59934661036*x962 + 610.717291691756*x963
         + 1152.3051443409*x964 + 1195.65221607036*x965 + 7.49190417623649*x966
         + 144.242366295902*x967 + 1948.11138522726*x968
         + 25.2933485215505*x969 + 1150.43516387048*x970 + 25.693821722884*x971
         + 4.58146305944256*x972 + 1419.23366267117*x973 + 2435.610966361*x974
         + 0.550484831446223*x975 + 53.9207108030273*x976
         + 2455.10161723632*x977 + 43.6877031386228*x978 + 18.244218964155*x979
         + 86.4422576002592*x980 + 1560.89717189576*x981 - 5*x1401 - 2*x1421
         =E= 0;

* set non-default bounds
x461.up = 6;
x462.up = 7;
x463.up = 6;
x464.up = 5;
x465.up = 8;
x466.up = 7;
x467.up = 9;
x468.up = 6;
x469.up = 8;
x470.up = 9;
x471.up = 8;
x472.up = 8;
x473.up = 4;
x474.up = 7;
x475.up = 8;
x476.up = 7;
x477.up = 7;
x478.up = 9;
x479.up = 4;
x480.up = 5;
x481.lo = 1; x481.up = 11;
x482.lo = 1; x482.up = 12;
x483.lo = 1; x483.up = 12;
x484.lo = 1; x484.up = 12;
x485.lo = 1; x485.up = 12;
x486.lo = 1; x486.up = 12;
x487.lo = 1; x487.up = 12;
x488.lo = 1; x488.up = 12;
x489.lo = 1; x489.up = 11;
x490.lo = 1; x490.up = 11;
x491.lo = 1; x491.up = 11;
x492.lo = 1; x492.up = 11;
x493.lo = 1; x493.up = 12;
x494.lo = 1; x494.up = 12;
x495.lo = 1; x495.up = 12;
x496.lo = 1; x496.up = 11;
x497.lo = 1; x497.up = 12;
x498.lo = 1; x498.up = 12;
x499.lo = 1; x499.up = 12;
x500.lo = 1; x500.up = 12;
x562.up = 99118.8734705333;
x563.up = 115638.685715622;
x564.up = 99118.8734705333;
x565.up = 82599.0612254444;
x566.up = 132158.497960711;
x567.up = 115638.685715622;
x568.up = 148678.3102058;
x569.up = 99118.8734705333;
x570.up = 132158.497960711;
x571.up = 148678.3102058;
x572.up = 132158.497960711;
x573.up = 132158.497960711;
x574.up = 66079.2489803556;
x575.up = 115638.685715622;
x576.up = 132158.497960711;
x577.up = 115638.685715622;
x578.up = 115638.685715622;
x579.up = 148678.3102058;
x580.up = 66079.2489803556;
x581.up = 82599.0612254444;
x582.up = 6;
x583.up = 6;
x584.up = 6;
x585.up = 6;
x586.up = 6;
x587.up = 6;
x588.up = 6;
x589.up = 6;
x590.up = 6;
x591.up = 6;
x592.up = 6;
x593.up = 6;
x594.up = 6;
x595.up = 6;
x596.up = 6;
x597.up = 6;
x598.up = 6;
x599.up = 6;
x600.up = 6;
x601.up = 6;
x602.up = 7;
x603.up = 7;
x604.up = 7;
x605.up = 7;
x606.up = 7;
x607.up = 7;
x608.up = 7;
x609.up = 7;
x610.up = 7;
x611.up = 7;
x612.up = 7;
x613.up = 7;
x614.up = 7;
x615.up = 7;
x616.up = 7;
x617.up = 7;
x618.up = 7;
x619.up = 7;
x620.up = 7;
x621.up = 7;
x622.up = 6;
x623.up = 6;
x624.up = 6;
x625.up = 6;
x626.up = 6;
x627.up = 6;
x628.up = 6;
x629.up = 6;
x630.up = 6;
x631.up = 6;
x632.up = 6;
x633.up = 6;
x634.up = 6;
x635.up = 6;
x636.up = 6;
x637.up = 6;
x638.up = 6;
x639.up = 6;
x640.up = 6;
x641.up = 6;
x642.up = 5;
x643.up = 5;
x644.up = 5;
x645.up = 5;
x646.up = 5;
x647.up = 5;
x648.up = 5;
x649.up = 5;
x650.up = 5;
x651.up = 5;
x652.up = 5;
x653.up = 5;
x654.up = 5;
x655.up = 5;
x656.up = 5;
x657.up = 5;
x658.up = 5;
x659.up = 5;
x660.up = 5;
x661.up = 5;
x662.up = 8;
x663.up = 8;
x664.up = 8;
x665.up = 8;
x666.up = 8;
x667.up = 8;
x668.up = 8;
x669.up = 8;
x670.up = 8;
x671.up = 8;
x672.up = 8;
x673.up = 8;
x674.up = 8;
x675.up = 8;
x676.up = 8;
x677.up = 8;
x678.up = 8;
x679.up = 8;
x680.up = 8;
x681.up = 8;
x682.up = 7;
x683.up = 7;
x684.up = 7;
x685.up = 7;
x686.up = 7;
x687.up = 7;
x688.up = 7;
x689.up = 7;
x690.up = 7;
x691.up = 7;
x692.up = 7;
x693.up = 7;
x694.up = 7;
x695.up = 7;
x696.up = 7;
x697.up = 7;
x698.up = 7;
x699.up = 7;
x700.up = 7;
x701.up = 7;
x702.up = 9;
x703.up = 9;
x704.up = 9;
x705.up = 9;
x706.up = 9;
x707.up = 9;
x708.up = 9;
x709.up = 9;
x710.up = 9;
x711.up = 9;
x712.up = 9;
x713.up = 9;
x714.up = 9;
x715.up = 9;
x716.up = 9;
x717.up = 9;
x718.up = 9;
x719.up = 9;
x720.up = 9;
x721.up = 9;
x722.up = 6;
x723.up = 6;
x724.up = 6;
x725.up = 6;
x726.up = 6;
x727.up = 6;
x728.up = 6;
x729.up = 6;
x730.up = 6;
x731.up = 6;
x732.up = 6;
x733.up = 6;
x734.up = 6;
x735.up = 6;
x736.up = 6;
x737.up = 6;
x738.up = 6;
x739.up = 6;
x740.up = 6;
x741.up = 6;
x742.up = 8;
x743.up = 8;
x744.up = 8;
x745.up = 8;
x746.up = 8;
x747.up = 8;
x748.up = 8;
x749.up = 8;
x750.up = 8;
x751.up = 8;
x752.up = 8;
x753.up = 8;
x754.up = 8;
x755.up = 8;
x756.up = 8;
x757.up = 8;
x758.up = 8;
x759.up = 8;
x760.up = 8;
x761.up = 8;
x762.up = 9;
x763.up = 9;
x764.up = 9;
x765.up = 9;
x766.up = 9;
x767.up = 9;
x768.up = 9;
x769.up = 9;
x770.up = 9;
x771.up = 9;
x772.up = 9;
x773.up = 9;
x774.up = 9;
x775.up = 9;
x776.up = 9;
x777.up = 9;
x778.up = 9;
x779.up = 9;
x780.up = 9;
x781.up = 9;
x782.up = 8;
x783.up = 8;
x784.up = 8;
x785.up = 8;
x786.up = 8;
x787.up = 8;
x788.up = 8;
x789.up = 8;
x790.up = 8;
x791.up = 8;
x792.up = 8;
x793.up = 8;
x794.up = 8;
x795.up = 8;
x796.up = 8;
x797.up = 8;
x798.up = 8;
x799.up = 8;
x800.up = 8;
x801.up = 8;
x802.up = 8;
x803.up = 8;
x804.up = 8;
x805.up = 8;
x806.up = 8;
x807.up = 8;
x808.up = 8;
x809.up = 8;
x810.up = 8;
x811.up = 8;
x812.up = 8;
x813.up = 8;
x814.up = 8;
x815.up = 8;
x816.up = 8;
x817.up = 8;
x818.up = 8;
x819.up = 8;
x820.up = 8;
x821.up = 8;
x822.up = 4;
x823.up = 4;
x824.up = 4;
x825.up = 4;
x826.up = 4;
x827.up = 4;
x828.up = 4;
x829.up = 4;
x830.up = 4;
x831.up = 4;
x832.up = 4;
x833.up = 4;
x834.up = 4;
x835.up = 4;
x836.up = 4;
x837.up = 4;
x838.up = 4;
x839.up = 4;
x840.up = 4;
x841.up = 4;
x842.up = 7;
x843.up = 7;
x844.up = 7;
x845.up = 7;
x846.up = 7;
x847.up = 7;
x848.up = 7;
x849.up = 7;
x850.up = 7;
x851.up = 7;
x852.up = 7;
x853.up = 7;
x854.up = 7;
x855.up = 7;
x856.up = 7;
x857.up = 7;
x858.up = 7;
x859.up = 7;
x860.up = 7;
x861.up = 7;
x862.up = 8;
x863.up = 8;
x864.up = 8;
x865.up = 8;
x866.up = 8;
x867.up = 8;
x868.up = 8;
x869.up = 8;
x870.up = 8;
x871.up = 8;
x872.up = 8;
x873.up = 8;
x874.up = 8;
x875.up = 8;
x876.up = 8;
x877.up = 8;
x878.up = 8;
x879.up = 8;
x880.up = 8;
x881.up = 8;
x882.up = 7;
x883.up = 7;
x884.up = 7;
x885.up = 7;
x886.up = 7;
x887.up = 7;
x888.up = 7;
x889.up = 7;
x890.up = 7;
x891.up = 7;
x892.up = 7;
x893.up = 7;
x894.up = 7;
x895.up = 7;
x896.up = 7;
x897.up = 7;
x898.up = 7;
x899.up = 7;
x900.up = 7;
x901.up = 7;
x902.up = 7;
x903.up = 7;
x904.up = 7;
x905.up = 7;
x906.up = 7;
x907.up = 7;
x908.up = 7;
x909.up = 7;
x910.up = 7;
x911.up = 7;
x912.up = 7;
x913.up = 7;
x914.up = 7;
x915.up = 7;
x916.up = 7;
x917.up = 7;
x918.up = 7;
x919.up = 7;
x920.up = 7;
x921.up = 7;
x922.up = 9;
x923.up = 9;
x924.up = 9;
x925.up = 9;
x926.up = 9;
x927.up = 9;
x928.up = 9;
x929.up = 9;
x930.up = 9;
x931.up = 9;
x932.up = 9;
x933.up = 9;
x934.up = 9;
x935.up = 9;
x936.up = 9;
x937.up = 9;
x938.up = 9;
x939.up = 9;
x940.up = 9;
x941.up = 9;
x942.up = 4;
x943.up = 4;
x944.up = 4;
x945.up = 4;
x946.up = 4;
x947.up = 4;
x948.up = 4;
x949.up = 4;
x950.up = 4;
x951.up = 4;
x952.up = 4;
x953.up = 4;
x954.up = 4;
x955.up = 4;
x956.up = 4;
x957.up = 4;
x958.up = 4;
x959.up = 4;
x960.up = 4;
x961.up = 4;
x962.up = 5;
x963.up = 5;
x964.up = 5;
x965.up = 5;
x966.up = 5;
x967.up = 5;
x968.up = 5;
x969.up = 5;
x970.up = 5;
x971.up = 5;
x972.up = 5;
x973.up = 5;
x974.up = 5;
x975.up = 5;
x976.up = 5;
x977.up = 5;
x978.up = 5;
x979.up = 5;
x980.up = 5;
x981.up = 5;
x982.up = 6;
x983.up = 6;
x984.up = 6;
x985.up = 6;
x986.up = 6;
x987.up = 6;
x988.up = 6;
x989.up = 6;
x990.up = 6;
x991.up = 6;
x992.up = 6;
x993.up = 6;
x994.up = 6;
x995.up = 6;
x996.up = 6;
x997.up = 6;
x998.up = 6;
x999.up = 6;
x1000.up = 6;
x1001.up = 6;
x1002.up = 7;
x1003.up = 7;
x1004.up = 7;
x1005.up = 7;
x1006.up = 7;
x1007.up = 7;
x1008.up = 7;
x1009.up = 7;
x1010.up = 7;
x1011.up = 7;
x1012.up = 7;
x1013.up = 7;
x1014.up = 7;
x1015.up = 7;
x1016.up = 7;
x1017.up = 7;
x1018.up = 7;
x1019.up = 7;
x1020.up = 7;
x1021.up = 7;
x1022.up = 6;
x1023.up = 6;
x1024.up = 6;
x1025.up = 6;
x1026.up = 6;
x1027.up = 6;
x1028.up = 6;
x1029.up = 6;
x1030.up = 6;
x1031.up = 6;
x1032.up = 6;
x1033.up = 6;
x1034.up = 6;
x1035.up = 6;
x1036.up = 6;
x1037.up = 6;
x1038.up = 6;
x1039.up = 6;
x1040.up = 6;
x1041.up = 6;
x1042.up = 5;
x1043.up = 5;
x1044.up = 5;
x1045.up = 5;
x1046.up = 5;
x1047.up = 5;
x1048.up = 5;
x1049.up = 5;
x1050.up = 5;
x1051.up = 5;
x1052.up = 5;
x1053.up = 5;
x1054.up = 5;
x1055.up = 5;
x1056.up = 5;
x1057.up = 5;
x1058.up = 5;
x1059.up = 5;
x1060.up = 5;
x1061.up = 5;
x1062.up = 8;
x1063.up = 8;
x1064.up = 8;
x1065.up = 8;
x1066.up = 8;
x1067.up = 8;
x1068.up = 8;
x1069.up = 8;
x1070.up = 8;
x1071.up = 8;
x1072.up = 8;
x1073.up = 8;
x1074.up = 8;
x1075.up = 8;
x1076.up = 8;
x1077.up = 8;
x1078.up = 8;
x1079.up = 8;
x1080.up = 8;
x1081.up = 8;
x1082.up = 7;
x1083.up = 7;
x1084.up = 7;
x1085.up = 7;
x1086.up = 7;
x1087.up = 7;
x1088.up = 7;
x1089.up = 7;
x1090.up = 7;
x1091.up = 7;
x1092.up = 7;
x1093.up = 7;
x1094.up = 7;
x1095.up = 7;
x1096.up = 7;
x1097.up = 7;
x1098.up = 7;
x1099.up = 7;
x1100.up = 7;
x1101.up = 7;
x1102.up = 9;
x1103.up = 9;
x1104.up = 9;
x1105.up = 9;
x1106.up = 9;
x1107.up = 9;
x1108.up = 9;
x1109.up = 9;
x1110.up = 9;
x1111.up = 9;
x1112.up = 9;
x1113.up = 9;
x1114.up = 9;
x1115.up = 9;
x1116.up = 9;
x1117.up = 9;
x1118.up = 9;
x1119.up = 9;
x1120.up = 9;
x1121.up = 9;
x1122.up = 6;
x1123.up = 6;
x1124.up = 6;
x1125.up = 6;
x1126.up = 6;
x1127.up = 6;
x1128.up = 6;
x1129.up = 6;
x1130.up = 6;
x1131.up = 6;
x1132.up = 6;
x1133.up = 6;
x1134.up = 6;
x1135.up = 6;
x1136.up = 6;
x1137.up = 6;
x1138.up = 6;
x1139.up = 6;
x1140.up = 6;
x1141.up = 6;
x1142.up = 8;
x1143.up = 8;
x1144.up = 8;
x1145.up = 8;
x1146.up = 8;
x1147.up = 8;
x1148.up = 8;
x1149.up = 8;
x1150.up = 8;
x1151.up = 8;
x1152.up = 8;
x1153.up = 8;
x1154.up = 8;
x1155.up = 8;
x1156.up = 8;
x1157.up = 8;
x1158.up = 8;
x1159.up = 8;
x1160.up = 8;
x1161.up = 8;
x1162.up = 9;
x1163.up = 9;
x1164.up = 9;
x1165.up = 9;
x1166.up = 9;
x1167.up = 9;
x1168.up = 9;
x1169.up = 9;
x1170.up = 9;
x1171.up = 9;
x1172.up = 9;
x1173.up = 9;
x1174.up = 9;
x1175.up = 9;
x1176.up = 9;
x1177.up = 9;
x1178.up = 9;
x1179.up = 9;
x1180.up = 9;
x1181.up = 9;
x1182.up = 8;
x1183.up = 8;
x1184.up = 8;
x1185.up = 8;
x1186.up = 8;
x1187.up = 8;
x1188.up = 8;
x1189.up = 8;
x1190.up = 8;
x1191.up = 8;
x1192.up = 8;
x1193.up = 8;
x1194.up = 8;
x1195.up = 8;
x1196.up = 8;
x1197.up = 8;
x1198.up = 8;
x1199.up = 8;
x1200.up = 8;
x1201.up = 8;
x1202.up = 8;
x1203.up = 8;
x1204.up = 8;
x1205.up = 8;
x1206.up = 8;
x1207.up = 8;
x1208.up = 8;
x1209.up = 8;
x1210.up = 8;
x1211.up = 8;
x1212.up = 8;
x1213.up = 8;
x1214.up = 8;
x1215.up = 8;
x1216.up = 8;
x1217.up = 8;
x1218.up = 8;
x1219.up = 8;
x1220.up = 8;
x1221.up = 8;
x1222.up = 4;
x1223.up = 4;
x1224.up = 4;
x1225.up = 4;
x1226.up = 4;
x1227.up = 4;
x1228.up = 4;
x1229.up = 4;
x1230.up = 4;
x1231.up = 4;
x1232.up = 4;
x1233.up = 4;
x1234.up = 4;
x1235.up = 4;
x1236.up = 4;
x1237.up = 4;
x1238.up = 4;
x1239.up = 4;
x1240.up = 4;
x1241.up = 4;
x1242.up = 7;
x1243.up = 7;
x1244.up = 7;
x1245.up = 7;
x1246.up = 7;
x1247.up = 7;
x1248.up = 7;
x1249.up = 7;
x1250.up = 7;
x1251.up = 7;
x1252.up = 7;
x1253.up = 7;
x1254.up = 7;
x1255.up = 7;
x1256.up = 7;
x1257.up = 7;
x1258.up = 7;
x1259.up = 7;
x1260.up = 7;
x1261.up = 7;
x1262.up = 8;
x1263.up = 8;
x1264.up = 8;
x1265.up = 8;
x1266.up = 8;
x1267.up = 8;
x1268.up = 8;
x1269.up = 8;
x1270.up = 8;
x1271.up = 8;
x1272.up = 8;
x1273.up = 8;
x1274.up = 8;
x1275.up = 8;
x1276.up = 8;
x1277.up = 8;
x1278.up = 8;
x1279.up = 8;
x1280.up = 8;
x1281.up = 8;
x1282.up = 7;
x1283.up = 7;
x1284.up = 7;
x1285.up = 7;
x1286.up = 7;
x1287.up = 7;
x1288.up = 7;
x1289.up = 7;
x1290.up = 7;
x1291.up = 7;
x1292.up = 7;
x1293.up = 7;
x1294.up = 7;
x1295.up = 7;
x1296.up = 7;
x1297.up = 7;
x1298.up = 7;
x1299.up = 7;
x1300.up = 7;
x1301.up = 7;
x1302.up = 7;
x1303.up = 7;
x1304.up = 7;
x1305.up = 7;
x1306.up = 7;
x1307.up = 7;
x1308.up = 7;
x1309.up = 7;
x1310.up = 7;
x1311.up = 7;
x1312.up = 7;
x1313.up = 7;
x1314.up = 7;
x1315.up = 7;
x1316.up = 7;
x1317.up = 7;
x1318.up = 7;
x1319.up = 7;
x1320.up = 7;
x1321.up = 7;
x1322.up = 9;
x1323.up = 9;
x1324.up = 9;
x1325.up = 9;
x1326.up = 9;
x1327.up = 9;
x1328.up = 9;
x1329.up = 9;
x1330.up = 9;
x1331.up = 9;
x1332.up = 9;
x1333.up = 9;
x1334.up = 9;
x1335.up = 9;
x1336.up = 9;
x1337.up = 9;
x1338.up = 9;
x1339.up = 9;
x1340.up = 9;
x1341.up = 9;
x1342.up = 4;
x1343.up = 4;
x1344.up = 4;
x1345.up = 4;
x1346.up = 4;
x1347.up = 4;
x1348.up = 4;
x1349.up = 4;
x1350.up = 4;
x1351.up = 4;
x1352.up = 4;
x1353.up = 4;
x1354.up = 4;
x1355.up = 4;
x1356.up = 4;
x1357.up = 4;
x1358.up = 4;
x1359.up = 4;
x1360.up = 4;
x1361.up = 4;
x1362.up = 5;
x1363.up = 5;
x1364.up = 5;
x1365.up = 5;
x1366.up = 5;
x1367.up = 5;
x1368.up = 5;
x1369.up = 5;
x1370.up = 5;
x1371.up = 5;
x1372.up = 5;
x1373.up = 5;
x1374.up = 5;
x1375.up = 5;
x1376.up = 5;
x1377.up = 5;
x1378.up = 5;
x1379.up = 5;
x1380.up = 5;
x1381.up = 5;

Model m / all /;

m.limrow=0; m.limcol=0;
m.tolproj=0.0;

$if NOT '%gams.u1%' == '' $include '%gams.u1%'

$if not set MINLP $set MINLP MINLP
Solve m using %MINLP% minimizing objvar;


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