QPLIB

A Library of Quadratic Programming Instances

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QPLIB_3701

Formats gms lp mod qplib
Problem type probtype LMQ
Solution point objective value solobjvalue 115.23942930 (gdx, sol)
Solution point infeasibility solinfeasibility 1.0000e-10
Donor donor Stefan Vigerske
#Variables nvars 1140
#Binary Variables nbinvars 60
#Integer Variables nintvars 0
#Bounded non-binary Variables nboundedvars 0
#Variables with only one bound nsingleboundedvars 120
#Nonlinear Variables nnlvars 180
#Nonlinear Binary Variables nnlbinvars 60
#Nonlinear Integer Variables nnlintvars 0
Objective Sense objsense min
Objective type objtype linear
Objective curvature objcurvature linear
#Negative eigenvalues in objective matrix nobjquadnegev  
#Positive eigenvalues in objective matrix nobjquadposev  
#Nonzeros in Objective nobjnz 60
#Nonlinear Nonzeros in Objective nobjnlnz 0
#Quadratic Terms in Objective nobjquadnz 0
#Square Terms in Objective nobjquaddiagnz 0
#Constraints ncons 437
#Linear Constraints nlincons 377
#Quadratic Constraints nquadcons 60
#Diagonal Quadratic Constraints ndiagquadcons 0
Constraints curvature conscurvature indefinite
#Convex Nonlinear Constraints nconvexnlcons 0
#Concave Nonlinear Constraints nconcavenlcons 0
#Indefinite Nonlinear Constraints nindefinitenlcons 60
#Nonzeros in Jacobian njacobiannz 4200
#Nonlinear Nonzeros in Jacobian njacobiannlnz 180
#Nonzeros in (Upper-Left) Hessian of Lagrangian nlaghessiannz 360
#Nonzeros in Diagonal of Hessian of Lagrangian nlaghessiandiagnz 0
#Blocks in Hessian of Lagrangian nlaghessianblocks 60
Minimal blocksize in Hessian of Lagrangian laghessianminblocksize 3
Maximal blocksize in Hessian of Lagrangian laghessianmaxblocksize 3
Average blocksize in Hessian of Lagrangian laghessianavgblocksize 3.0
Sparsity Jacobian
Sparsity Lag. Hessian

QPLIB_3701.gms

$offlisting
*  
*  Equation counts
*      Total        E        G        L        N        X        C        B
*        438      257       60      121        0        0        0        0
*  
*  Variable counts
*                   x        b        i      s1s      s2s       sc       si
*      Total     cont   binary  integer     sos1     sos2    scont     sint
*       1141     1081       60        0        0        0        0        0
*  FX      0        0        0        0        0        0        0        0
*  
*  Nonzero counts
*      Total    const       NL      DLL
*       4261     4081      180        0
*
*  Solve m using MIQCP minimizing objvar;


Variables  objvar,b2,b3,b4,b5,b6,b7,b8,b9,b10,b11,b12,b13,b14,b15,b16,b17,b18
          ,b19,b20,b21,b22,b23,b24,b25,b26,b27,b28,b29,b30,b31,b32,b33,b34,b35
          ,b36,b37,b38,b39,b40,b41,b42,b43,b44,b45,b46,b47,b48,b49,b50,b51,b52
          ,b53,b54,b55,b56,b57,b58,b59,b60,b61,x62,x63,x64,x65,x66,x67,x68,x69
          ,x70,x71,x72,x73,x74,x75,x76,x77,x78,x79,x80,x81,x82,x83,x84,x85,x86
          ,x87,x88,x89,x90,x91,x92,x93,x94,x95,x96,x97,x98,x99,x100,x101,x102
          ,x103,x104,x105,x106,x107,x108,x109,x110,x111,x112,x113,x114,x115
          ,x116,x117,x118,x119,x120,x121,x122,x123,x124,x125,x126,x127,x128
          ,x129,x130,x131,x132,x133,x134,x135,x136,x137,x138,x139,x140,x141
          ,x142,x143,x144,x145,x146,x147,x148,x149,x150,x151,x152,x153,x154
          ,x155,x156,x157,x158,x159,x160,x161,x162,x163,x164,x165,x166,x167
          ,x168,x169,x170,x171,x172,x173,x174,x175,x176,x177,x178,x179,x180
          ,x181,x182,x183,x184,x185,x186,x187,x188,x189,x190,x191,x192,x193
          ,x194,x195,x196,x197,x198,x199,x200,x201,x202,x203,x204,x205,x206
          ,x207,x208,x209,x210,x211,x212,x213,x214,x215,x216,x217,x218,x219
          ,x220,x221,x222,x223,x224,x225,x226,x227,x228,x229,x230,x231,x232
          ,x233,x234,x235,x236,x237,x238,x239,x240,x241,x242,x243,x244,x245
          ,x246,x247,x248,x249,x250,x251,x252,x253,x254,x255,x256,x257,x258
          ,x259,x260,x261,x262,x263,x264,x265,x266,x267,x268,x269,x270,x271
          ,x272,x273,x274,x275,x276,x277,x278,x279,x280,x281,x282,x283,x284
          ,x285,x286,x287,x288,x289,x290,x291,x292,x293,x294,x295,x296,x297
          ,x298,x299,x300,x301,x302,x303,x304,x305,x306,x307,x308,x309,x310
          ,x311,x312,x313,x314,x315,x316,x317,x318,x319,x320,x321,x322,x323
          ,x324,x325,x326,x327,x328,x329,x330,x331,x332,x333,x334,x335,x336
          ,x337,x338,x339,x340,x341,x342,x343,x344,x345,x346,x347,x348,x349
          ,x350,x351,x352,x353,x354,x355,x356,x357,x358,x359,x360,x361,x362
          ,x363,x364,x365,x366,x367,x368,x369,x370,x371,x372,x373,x374,x375
          ,x376,x377,x378,x379,x380,x381,x382,x383,x384,x385,x386,x387,x388
          ,x389,x390,x391,x392,x393,x394,x395,x396,x397,x398,x399,x400,x401
          ,x402,x403,x404,x405,x406,x407,x408,x409,x410,x411,x412,x413,x414
          ,x415,x416,x417,x418,x419,x420,x421,x422,x423,x424,x425,x426,x427
          ,x428,x429,x430,x431,x432,x433,x434,x435,x436,x437,x438,x439,x440
          ,x441,x442,x443,x444,x445,x446,x447,x448,x449,x450,x451,x452,x453
          ,x454,x455,x456,x457,x458,x459,x460,x461,x462,x463,x464,x465,x466
          ,x467,x468,x469,x470,x471,x472,x473,x474,x475,x476,x477,x478,x479
          ,x480,x481,x482,x483,x484,x485,x486,x487,x488,x489,x490,x491,x492
          ,x493,x494,x495,x496,x497,x498,x499,x500,x501,x502,x503,x504,x505
          ,x506,x507,x508,x509,x510,x511,x512,x513,x514,x515,x516,x517,x518
          ,x519,x520,x521,x522,x523,x524,x525,x526,x527,x528,x529,x530,x531
          ,x532,x533,x534,x535,x536,x537,x538,x539,x540,x541,x542,x543,x544
          ,x545,x546,x547,x548,x549,x550,x551,x552,x553,x554,x555,x556,x557
          ,x558,x559,x560,x561,x562,x563,x564,x565,x566,x567,x568,x569,x570
          ,x571,x572,x573,x574,x575,x576,x577,x578,x579,x580,x581,x582,x583
          ,x584,x585,x586,x587,x588,x589,x590,x591,x592,x593,x594,x595,x596
          ,x597,x598,x599,x600,x601,x602,x603,x604,x605,x606,x607,x608,x609
          ,x610,x611,x612,x613,x614,x615,x616,x617,x618,x619,x620,x621,x622
          ,x623,x624,x625,x626,x627,x628,x629,x630,x631,x632,x633,x634,x635
          ,x636,x637,x638,x639,x640,x641,x642,x643,x644,x645,x646,x647,x648
          ,x649,x650,x651,x652,x653,x654,x655,x656,x657,x658,x659,x660,x661
          ,x662,x663,x664,x665,x666,x667,x668,x669,x670,x671,x672,x673,x674
          ,x675,x676,x677,x678,x679,x680,x681,x682,x683,x684,x685,x686,x687
          ,x688,x689,x690,x691,x692,x693,x694,x695,x696,x697,x698,x699,x700
          ,x701,x702,x703,x704,x705,x706,x707,x708,x709,x710,x711,x712,x713
          ,x714,x715,x716,x717,x718,x719,x720,x721,x722,x723,x724,x725,x726
          ,x727,x728,x729,x730,x731,x732,x733,x734,x735,x736,x737,x738,x739
          ,x740,x741,x742,x743,x744,x745,x746,x747,x748,x749,x750,x751,x752
          ,x753,x754,x755,x756,x757,x758,x759,x760,x761,x762,x763,x764,x765
          ,x766,x767,x768,x769,x770,x771,x772,x773,x774,x775,x776,x777,x778
          ,x779,x780,x781,x782,x783,x784,x785,x786,x787,x788,x789,x790,x791
          ,x792,x793,x794,x795,x796,x797,x798,x799,x800,x801,x802,x803,x804
          ,x805,x806,x807,x808,x809,x810,x811,x812,x813,x814,x815,x816,x817
          ,x818,x819,x820,x821,x822,x823,x824,x825,x826,x827,x828,x829,x830
          ,x831,x832,x833,x834,x835,x836,x837,x838,x839,x840,x841,x842,x843
          ,x844,x845,x846,x847,x848,x849,x850,x851,x852,x853,x854,x855,x856
          ,x857,x858,x859,x860,x861,x862,x863,x864,x865,x866,x867,x868,x869
          ,x870,x871,x872,x873,x874,x875,x876,x877,x878,x879,x880,x881,x882
          ,x883,x884,x885,x886,x887,x888,x889,x890,x891,x892,x893,x894,x895
          ,x896,x897,x898,x899,x900,x901,x902,x903,x904,x905,x906,x907,x908
          ,x909,x910,x911,x912,x913,x914,x915,x916,x917,x918,x919,x920,x921
          ,x922,x923,x924,x925,x926,x927,x928,x929,x930,x931,x932,x933,x934
          ,x935,x936,x937,x938,x939,x940,x941,x942,x943,x944,x945,x946,x947
          ,x948,x949,x950,x951,x952,x953,x954,x955,x956,x957,x958,x959,x960
          ,x961,x962,x963,x964,x965,x966,x967,x968,x969,x970,x971,x972,x973
          ,x974,x975,x976,x977,x978,x979,x980,x981,x982,x983,x984,x985,x986
          ,x987,x988,x989,x990,x991,x992,x993,x994,x995,x996,x997,x998,x999
          ,x1000,x1001,x1002,x1003,x1004,x1005,x1006,x1007,x1008,x1009,x1010
          ,x1011,x1012,x1013,x1014,x1015,x1016,x1017,x1018,x1019,x1020,x1021
          ,x1022,x1023,x1024,x1025,x1026,x1027,x1028,x1029,x1030,x1031,x1032
          ,x1033,x1034,x1035,x1036,x1037,x1038,x1039,x1040,x1041,x1042,x1043
          ,x1044,x1045,x1046,x1047,x1048,x1049,x1050,x1051,x1052,x1053,x1054
          ,x1055,x1056,x1057,x1058,x1059,x1060,x1061,x1062,x1063,x1064,x1065
          ,x1066,x1067,x1068,x1069,x1070,x1071,x1072,x1073,x1074,x1075,x1076
          ,x1077,x1078,x1079,x1080,x1081,x1082,x1083,x1084,x1085,x1086,x1087
          ,x1088,x1089,x1090,x1091,x1092,x1093,x1094,x1095,x1096,x1097,x1098
          ,x1099,x1100,x1101,x1102,x1103,x1104,x1105,x1106,x1107,x1108,x1109
          ,x1110,x1111,x1112,x1113,x1114,x1115,x1116,x1117,x1118,x1119,x1120
          ,x1121,x1122,x1123,x1124,x1125,x1126,x1127,x1128,x1129,x1130,x1131
          ,x1132,x1133,x1134,x1135,x1136,x1137,x1138,x1139,x1140,x1141;

Positive Variables  x62,x63,x64,x65,x66,x67,x68,x69,x70,x71,x72,x73,x74,x75
          ,x76,x77,x78,x79,x80,x81,x82,x83,x84,x85,x86,x87,x88,x89,x90,x91,x92
          ,x93,x94,x95,x96,x97,x98,x99,x100,x101,x102,x103,x104,x105,x106,x107
          ,x108,x109,x110,x111,x112,x113,x114,x115,x116,x117,x118,x119,x120
          ,x121,x122,x123,x124,x125,x126,x127,x128,x129,x130,x131,x132,x133
          ,x134,x135,x136,x137,x138,x139,x140,x141,x142,x143,x144,x145,x146
          ,x147,x148,x149,x150,x151,x152,x153,x154,x155,x156,x157,x158,x159
          ,x160,x161,x162,x163,x164,x165,x166,x167,x168,x169,x170,x171,x172
          ,x173,x174,x175,x176,x177,x178,x179,x180,x181,x182,x183,x184,x185
          ,x186,x187,x188,x189,x190,x191,x192,x193,x194,x195,x196,x197,x198
          ,x199,x200,x201,x202,x203,x204,x205,x206,x207,x208,x209,x210,x211
          ,x212,x213,x214,x215,x216,x217,x218,x219,x220,x221,x222,x223,x224
          ,x225,x226,x227,x228,x229,x230,x231,x232,x233,x234,x235,x236,x237
          ,x238,x239,x240,x241,x242,x243,x244,x245,x246,x247,x248,x249,x250
          ,x251,x252,x253,x254,x255,x256,x257,x258,x259,x260,x261,x262,x263
          ,x264,x265,x266,x267,x268,x269,x270,x271,x272,x273,x274,x275,x276
          ,x277,x278,x279,x280,x281,x282,x283,x284,x285,x286,x287,x288,x289
          ,x290,x291,x292,x293,x294,x295,x296,x297,x298,x299,x300,x301,x302
          ,x303,x304,x305,x306,x307,x308,x309,x310,x311,x312,x313,x314,x315
          ,x316,x317,x318,x319,x320,x321,x322,x323,x324,x325,x326,x327,x328
          ,x329,x330,x331,x332,x333,x334,x335,x336,x337,x338,x339,x340,x341
          ,x342,x343,x344,x345,x346,x347,x348,x349,x350,x351,x352,x353,x354
          ,x355,x356,x357,x358,x359,x360,x361,x362,x363,x364,x365,x366,x367
          ,x368,x369,x370,x371,x372,x373,x374,x375,x376,x377,x378,x379,x380
          ,x381,x382,x383,x384,x385,x386,x387,x388,x389,x390,x391,x392,x393
          ,x394,x395,x396,x397,x398,x399,x400,x401,x402,x403,x404,x405,x406
          ,x407,x408,x409,x410,x411,x412,x413,x414,x415,x416,x417,x418,x419
          ,x420,x421,x422,x423,x424,x425,x426,x427,x428,x429,x430,x431,x432
          ,x433,x434,x435,x436,x437,x438,x439,x440,x441,x442,x443,x444,x445
          ,x446,x447,x448,x449,x450,x451,x452,x453,x454,x455,x456,x457,x458
          ,x459,x460,x461,x462,x463,x464,x465,x466,x467,x468,x469,x470,x471
          ,x472,x473,x474,x475,x476,x477,x478,x479,x480,x481,x482,x483,x484
          ,x485,x486,x487,x488,x489,x490,x491,x492,x493,x494,x495,x496,x497
          ,x498,x499,x500,x501,x502,x503,x504,x505,x506,x507,x508,x509,x510
          ,x511,x512,x513,x514,x515,x516,x517,x518,x519,x520,x521,x522,x523
          ,x524,x525,x526,x527,x528,x529,x530,x531,x532,x533,x534,x535,x536
          ,x537,x538,x539,x540,x541,x542,x543,x544,x545,x546,x547,x548,x549
          ,x550,x551,x552,x553,x554,x555,x556,x557,x558,x559,x560,x561,x562
          ,x563,x564,x565,x566,x567,x568,x569,x570,x571,x572,x573,x574,x575
          ,x576,x577,x578,x579,x580,x581,x582,x583,x584,x585,x586,x587,x588
          ,x589,x590,x591,x592,x593,x594,x595,x596,x597,x598,x599,x600,x601
          ,x602,x603,x604,x605,x606,x607,x608,x609,x610,x611,x612,x613,x614
          ,x615,x616,x617,x618,x619,x620,x621,x622,x623,x624,x625,x626,x627
          ,x628,x629,x630,x631,x632,x633,x634,x635,x636,x637,x638,x639,x640
          ,x641,x642,x643,x644,x645,x646,x647,x648,x649,x650,x651,x652,x653
          ,x654,x655,x656,x657,x658,x659,x660,x661,x662,x663,x664,x665,x666
          ,x667,x668,x669,x670,x671,x672,x673,x674,x675,x676,x677,x678,x679
          ,x680,x681,x682,x683,x684,x685,x686,x687,x688,x689,x690,x691,x692
          ,x693,x694,x695,x696,x697,x698,x699,x700,x701,x702,x703,x704,x705
          ,x706,x707,x708,x709,x710,x711,x712,x713,x714,x715,x716,x717,x718
          ,x719,x720,x721,x722,x723,x724,x725,x726,x727,x728,x729,x730,x731
          ,x732,x733,x734,x735,x736,x737,x738,x739,x740,x741,x742,x743,x744
          ,x745,x746,x747,x748,x749,x750,x751,x752,x753,x754,x755,x756,x757
          ,x758,x759,x760,x761,x762,x763,x764,x765,x766,x767,x768,x769,x770
          ,x771,x772,x773,x774,x775,x776,x777,x778,x779,x780,x781,x782,x783
          ,x784,x785,x786,x787,x788,x789,x790,x791,x792,x793,x794,x795,x796
          ,x797,x798,x799,x800,x801,x802,x803,x804,x805,x806,x807,x808,x809
          ,x810,x811,x812,x813,x814,x815,x816,x817,x818,x819,x820,x821,x822
          ,x823,x824,x825,x826,x827,x828,x829,x830,x831,x832,x833,x834,x835
          ,x836,x837,x838,x839,x840,x841,x842,x843,x844,x845,x846,x847,x848
          ,x849,x850,x851,x852,x853,x854,x855,x856,x857,x858,x859,x860,x861
          ,x862,x863,x864,x865,x866,x867,x868,x869,x870,x871,x872,x873,x874
          ,x875,x876,x877,x878,x879,x880,x881,x882,x883,x884,x885,x886,x887
          ,x888,x889,x890,x891,x892,x893,x894,x895,x896,x897,x898,x899,x900
          ,x901,x902,x903,x904,x905,x906,x907,x908,x909,x910,x911,x912,x913
          ,x914,x915,x916,x917,x918,x919,x920,x921,x922,x923,x924,x925,x926
          ,x927,x928,x929,x930,x931,x932,x933,x934,x935,x936,x937,x938,x939
          ,x940,x941,x942,x943,x944,x945,x946,x947,x948,x949,x950,x951,x952
          ,x953,x954,x955,x956,x957,x958,x959,x960,x961,x962,x963,x964,x965
          ,x966,x967,x968,x969,x970,x971,x972,x973,x974,x975,x976,x977,x978
          ,x979,x980,x981,x982,x983,x984,x985,x986,x987,x988,x989,x990,x991
          ,x992,x993,x994,x995,x996,x997,x998,x999,x1000,x1001,x1002,x1003
          ,x1004,x1005,x1006,x1007,x1008,x1009,x1010,x1011,x1012,x1013,x1014
          ,x1015,x1016,x1017,x1018,x1019,x1020,x1021,x1022,x1023,x1024,x1025
          ,x1026,x1027,x1028,x1029,x1030,x1031,x1032,x1033,x1034,x1035,x1036
          ,x1037,x1038,x1039,x1040,x1041,x1042,x1043,x1044,x1045,x1046,x1047
          ,x1048,x1049,x1050,x1051,x1052,x1053,x1054,x1055,x1056,x1057,x1058
          ,x1059,x1060,x1061,x1062,x1063,x1064,x1065,x1066,x1067,x1068,x1069
          ,x1070,x1071,x1072,x1073,x1074,x1075,x1076,x1077,x1078,x1079,x1080
          ,x1081,x1082,x1083,x1084,x1085,x1086,x1087,x1088,x1089,x1090,x1091
          ,x1092,x1093,x1094,x1095,x1096,x1097,x1098,x1099,x1100,x1101,x1102
          ,x1103,x1104,x1105,x1106,x1107,x1108,x1109,x1110,x1111,x1112,x1113
          ,x1114,x1115,x1116,x1117,x1118,x1119,x1120,x1121,x1122,x1123,x1124
          ,x1125,x1126,x1127,x1128,x1129,x1130,x1131,x1132,x1133,x1134,x1135
          ,x1136,x1137,x1138,x1139,x1140,x1141;

Binary Variables  b2,b3,b4,b5,b6,b7,b8,b9,b10,b11,b12,b13,b14,b15,b16,b17,b18
          ,b19,b20,b21,b22,b23,b24,b25,b26,b27,b28,b29,b30,b31,b32,b33,b34,b35
          ,b36,b37,b38,b39,b40,b41,b42,b43,b44,b45,b46,b47,b48,b49,b50,b51,b52
          ,b53,b54,b55,b56,b57,b58,b59,b60,b61;

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;


e1..  - objvar + 1.152432865*b2 + 3.011993167*b3 + 2.960375281*b4
      + 1.736309608*b5 + 1.152432865*b6 + 2.363195782*b7 + 2.05937716*b8
      + 3.985025335*b9 + 3.789003172*b10 + 2.363195782*b11 + 3.921012982*b12
      + 3.156380512*b13 + 2.415793864*b14 + 3.011993167*b15 + 2.05937716*b16
      + 1.163363584*b17 + 2.330956801*b18 + 1.29144937*b19 + 3.761674897*b20
      + 2.960375281*b21 + 2.330956801*b22 + 1.396790695*b23 + 3.628673512*b24
      + 1.993672117*b25 + 3.921012982*b26 + 2.05780087*b27 + 2.23064791*b28
      + 3.156380512*b29 + 1.396790695*b30 + 3.35525266*b31 + 1.976382727*b32
      + 1.29144937*b33 + 1.840522939*b34 + 3.337820236*b35 + 3.628673512*b36
      + 1.155800743*b37 + 1.736309608*b38 + 1.840522939*b39 + 1.155800743*b40
      + 3.496770256*b41 + 2.415793864*b42 + 2.05780087*b43 + 2.059284631*b44
      + 3.35525266*b45 + 2.059284631*b46 + 2.534210494*b47 + 3.985025335*b48
      + 1.163363584*b49 + 2.23064791*b50 + 3.496770256*b51 + 1.025018077*b52
      + 3.789003172*b53 + 1.993672117*b54 + 3.337820236*b55 + 2.534210494*b56
      + 1.025018077*b57 + 1.757500525*b58 + 3.761674897*b59 + 1.976382727*b60
      + 1.757500525*b61 =E= 0;

e2..  - x62 - x63 - x64 - x65 + x66 + x67 + x68 + x69 =E= -222;

e3..  - x70 - x71 - x72 - x73 + x74 + x75 + x76 + x77 =E= 25;

e4..  - x78 - x79 - x80 - x81 + x82 + x83 + x84 + x85 =E= 12;

e5..  - x86 - x87 - x88 - x89 + x90 + x91 + x92 + x93 =E= 21;

e6..  - x94 - x95 - x96 - x97 + x98 + x99 + x100 + x101 =E= 25;

e7..  - x102 - x103 - x104 - x105 + x106 + x107 + x108 + x109 =E= 13;

e8..  - x110 - x111 - x112 - x113 + x114 + x115 + x116 + x117 =E= 17;

e9..  - x118 - x119 - x120 - x121 + x122 + x123 + x124 + x125 =E= 11;

e10..  - x126 - x127 - x128 - x129 + x130 + x131 + x132 + x133 =E= 22;

e11..  - x134 - x135 - x136 - x137 + x138 + x139 + x140 + x141 =E= 15;

e12..  - x142 - x143 - x144 - x145 + x146 + x147 + x148 + x149 =E= 16;

e13..  - x150 - x151 - x152 - x153 + x154 + x155 + x156 + x157 =E= 8;

e14..  - x158 - x159 - x160 - x161 + x162 + x163 + x164 + x165 =E= 13;

e15..  - x166 - x167 - x168 - x169 + x170 + x171 + x172 + x173 =E= 21;

e16..  - x174 - x175 - x176 - x177 + x178 + x179 + x180 + x181 =E= 22;

e17..  - x182 - x183 - x184 - x185 + x186 + x187 + x188 + x189 =E= 16;

e18..    x62 - x66 - x190 - x191 - x192 - x193 + x194 + x195 + x196 + x197
       =E= 19;

e19..    x70 - x74 - x198 - x199 - x200 - x201 + x202 + x203 + x204 + x205
       =E= -215;

e20..    x78 - x82 - x206 - x207 - x208 - x209 + x210 + x211 + x212 + x213
       =E= 15;

e21..    x86 - x90 - x214 - x215 - x216 - x217 + x218 + x219 + x220 + x221
       =E= 16;

e22..    x94 - x98 - x222 - x223 - x224 - x225 + x226 + x227 + x228 + x229
       =E= 14;

e23..    x102 - x106 - x230 - x231 - x232 - x233 + x234 + x235 + x236 + x237
       =E= 17;

e24..    x110 - x114 - x238 - x239 - x240 - x241 + x242 + x243 + x244 + x245
       =E= 14;

e25..    x118 - x122 - x246 - x247 - x248 - x249 + x250 + x251 + x252 + x253
       =E= 5;

e26..    x126 - x130 - x254 - x255 - x256 - x257 + x258 + x259 + x260 + x261
       =E= 10;

e27..    x134 - x138 - x262 - x263 - x264 - x265 + x266 + x267 + x268 + x269
       =E= 5;

e28..    x142 - x146 - x270 - x271 - x272 - x273 + x274 + x275 + x276 + x277
       =E= 11;

e29..    x150 - x154 - x278 - x279 - x280 - x281 + x282 + x283 + x284 + x285
       =E= 13;

e30..    x158 - x162 - x286 - x287 - x288 - x289 + x290 + x291 + x292 + x293
       =E= 19;

e31..    x166 - x170 - x294 - x295 - x296 - x297 + x298 + x299 + x300 + x301
       =E= 9;

e32..    x174 - x178 - x302 - x303 - x304 - x305 + x306 + x307 + x308 + x309
       =E= 8;

e33..    x182 - x186 - x310 - x311 - x312 - x313 + x314 + x315 + x316 + x317
       =E= 10;

e34..    x190 - x194 - x318 - x319 - x320 + x321 + x322 + x323 =E= 9;

e35..    x198 - x202 - x324 - x325 - x326 + x327 + x328 + x329 =E= 8;

e36..    x206 - x210 - x330 - x331 - x332 + x333 + x334 + x335 =E= -227;

e37..    x214 - x218 - x336 - x337 - x338 + x339 + x340 + x341 =E= 16;

e38..    x222 - x226 - x342 - x343 - x344 + x345 + x346 + x347 =E= 23;

e39..    x230 - x234 - x348 - x349 - x350 + x351 + x352 + x353 =E= 6;

e40..    x238 - x242 - x354 - x355 - x356 + x357 + x358 + x359 =E= 11;

e41..    x246 - x250 - x360 - x361 - x362 + x363 + x364 + x365 =E= 11;

e42..    x254 - x258 - x366 - x367 - x368 + x369 + x370 + x371 =E= 11;

e43..    x262 - x266 - x372 - x373 - x374 + x375 + x376 + x377 =E= 21;

e44..    x270 - x274 - x378 - x379 - x380 + x381 + x382 + x383 =E= 11;

e45..    x278 - x282 - x384 - x385 - x386 + x387 + x388 + x389 =E= 9;

e46..    x286 - x290 - x390 - x391 - x392 + x393 + x394 + x395 =E= 15;

e47..    x294 - x298 - x396 - x397 - x398 + x399 + x400 + x401 =E= 13;

e48..    x302 - x306 - x402 - x403 - x404 + x405 + x406 + x407 =E= 9;

e49..    x310 - x314 - x408 - x409 - x410 + x411 + x412 + x413 =E= 13;

e50..    x63 - x67 + x191 - x195 - x414 + x415 =E= 19;

e51..    x71 - x75 + x199 - x203 - x416 + x417 =E= 13;

e52..    x79 - x83 + x207 - x211 - x418 + x419 =E= 14;

e53..    x87 - x91 + x215 - x219 - x420 + x421 =E= -256;

e54..    x95 - x99 + x223 - x227 - x422 + x423 =E= 12;

e55..    x103 - x107 + x231 - x235 - x424 + x425 =E= 18;

e56..    x111 - x115 + x239 - x243 - x426 + x427 =E= 12;

e57..    x119 - x123 + x247 - x251 - x428 + x429 =E= 12;

e58..    x127 - x131 + x255 - x259 - x430 + x431 =E= 20;

e59..    x135 - x139 + x263 - x267 - x432 + x433 =E= 9;

e60..    x143 - x147 + x271 - x275 - x434 + x435 =E= 22;

e61..    x151 - x155 + x279 - x283 - x436 + x437 =E= 6;

e62..    x159 - x163 + x287 - x291 - x438 + x439 =E= 24;

e63..    x167 - x171 + x295 - x299 - x440 + x441 =E= 16;

e64..    x175 - x179 + x303 - x307 - x442 + x443 =E= 20;

e65..    x183 - x187 + x311 - x315 - x444 + x445 =E= 18;

e66..  - x446 - x447 - x448 + x449 + x450 + x451 =E= 18;

e67..  - x452 - x453 - x454 + x455 + x456 + x457 =E= 5;

e68..  - x458 - x459 - x460 + x461 + x462 + x463 =E= 17;

e69..  - x464 - x465 - x466 + x467 + x468 + x469 =E= 24;

e70..  - x470 - x471 - x472 + x473 + x474 + x475 =E= -259;

e71..  - x476 - x477 - x478 + x479 + x480 + x481 =E= 21;

e72..  - x482 - x483 - x484 + x485 + x486 + x487 =E= 7;

e73..  - x488 - x489 - x490 + x491 + x492 + x493 =E= 23;

e74..  - x494 - x495 - x496 + x497 + x498 + x499 =E= 10;

e75..  - x500 - x501 - x502 + x503 + x504 + x505 =E= 12;

e76..  - x506 - x507 - x508 + x509 + x510 + x511 =E= 20;

e77..  - x512 - x513 - x514 + x515 + x516 + x517 =E= 19;

e78..  - x518 - x519 - x520 + x521 + x522 + x523 =E= 13;

e79..  - x524 - x525 - x526 + x527 + x528 + x529 =E= 7;

e80..  - x530 - x531 - x532 + x533 + x534 + x535 =E= 19;

e81..  - x536 - x537 - x538 + x539 + x540 + x541 =E= 12;

e82..    x64 - x68 + x446 - x449 - x542 - x543 - x544 + x545 + x546 + x547
       =E= 10;

e83..    x72 - x76 + x452 - x455 - x548 - x549 - x550 + x551 + x552 + x553
       =E= 8;

e84..    x80 - x84 + x458 - x461 - x554 - x555 - x556 + x557 + x558 + x559
       =E= 23;

e85..    x88 - x92 + x464 - x467 - x560 - x561 - x562 + x563 + x564 + x565
       =E= 24;

e86..    x96 - x100 + x470 - x473 - x566 - x567 - x568 + x569 + x570 + x571
       =E= 14;

e87..    x104 - x108 + x476 - x479 - x572 - x573 - x574 + x575 + x576 + x577
       =E= -242;

e88..    x112 - x116 + x482 - x485 - x578 - x579 - x580 + x581 + x582 + x583
       =E= 16;

e89..    x120 - x124 + x488 - x491 - x584 - x585 - x586 + x587 + x588 + x589
       =E= 9;

e90..    x128 - x132 + x494 - x497 - x590 - x591 - x592 + x593 + x594 + x595
       =E= 22;

e91..    x136 - x140 + x500 - x503 - x596 - x597 - x598 + x599 + x600 + x601
       =E= 16;

e92..    x144 - x148 + x506 - x509 - x602 - x603 - x604 + x605 + x606 + x607
       =E= 16;

e93..    x152 - x156 + x512 - x515 - x608 - x609 - x610 + x611 + x612 + x613
       =E= 14;

e94..    x160 - x164 + x518 - x521 - x614 - x615 - x616 + x617 + x618 + x619
       =E= 14;

e95..    x168 - x172 + x524 - x527 - x620 - x621 - x622 + x623 + x624 + x625
       =E= 6;

e96..    x176 - x180 + x530 - x533 - x626 - x627 - x628 + x629 + x630 + x631
       =E= 14;

e97..    x184 - x188 + x536 - x539 - x632 - x633 - x634 + x635 + x636 + x637
       =E= 21;

e98..    x318 - x321 - x638 - x639 + x640 + x641 =E= 10;

e99..    x324 - x327 - x642 - x643 + x644 + x645 =E= 8;

e100..    x330 - x333 - x646 - x647 + x648 + x649 =E= 21;

e101..    x336 - x339 - x650 - x651 + x652 + x653 =E= 19;

e102..    x342 - x345 - x654 - x655 + x656 + x657 =E= 23;

e103..    x348 - x351 - x658 - x659 + x660 + x661 =E= 23;

e104..    x354 - x357 - x662 - x663 + x664 + x665 =E= -182;

e105..    x360 - x363 - x666 - x667 + x668 + x669 =E= 19;

e106..    x366 - x369 - x670 - x671 + x672 + x673 =E= 16;

e107..    x372 - x375 - x674 - x675 + x676 + x677 =E= 16;

e108..    x378 - x381 - x678 - x679 + x680 + x681 =E= 12;

e109..    x384 - x387 - x682 - x683 + x684 + x685 =E= 11;

e110..    x390 - x393 - x686 - x687 + x688 + x689 =E= 20;

e111..    x396 - x399 - x690 - x691 + x692 + x693 =E= 6;

e112..    x402 - x405 - x694 - x695 + x696 + x697 =E= 19;

e113..    x408 - x411 - x698 - x699 + x700 + x701 =E= 22;

e114..    x319 - x322 + x542 - x545 - x702 - x703 + x704 + x705 =E= 15;

e115..    x325 - x328 + x548 - x551 - x706 - x707 + x708 + x709 =E= 19;

e116..    x331 - x334 + x554 - x557 - x710 - x711 + x712 + x713 =E= 15;

e117..    x337 - x340 + x560 - x563 - x714 - x715 + x716 + x717 =E= 9;

e118..    x343 - x346 + x566 - x569 - x718 - x719 + x720 + x721 =E= 22;

e119..    x349 - x352 + x572 - x575 - x722 - x723 + x724 + x725 =E= 16;

e120..    x355 - x358 + x578 - x581 - x726 - x727 + x728 + x729 =E= 9;

e121..    x361 - x364 + x584 - x587 - x730 - x731 + x732 + x733 =E= -215;

e122..    x367 - x370 + x590 - x593 - x734 - x735 + x736 + x737 =E= 12;

e123..    x373 - x376 + x596 - x599 - x738 - x739 + x740 + x741 =E= 7;

e124..    x379 - x382 + x602 - x605 - x742 - x743 + x744 + x745 =E= 14;

e125..    x385 - x388 + x608 - x611 - x746 - x747 + x748 + x749 =E= 14;

e126..    x391 - x394 + x614 - x617 - x750 - x751 + x752 + x753 =E= 14;

e127..    x397 - x400 + x620 - x623 - x754 - x755 + x756 + x757 =E= 11;

e128..    x403 - x406 + x626 - x629 - x758 - x759 + x760 + x761 =E= 20;

e129..    x409 - x412 + x632 - x635 - x762 - x763 + x764 + x765 =E= 25;

e130..    x447 - x450 - x766 - x767 + x768 + x769 =E= 22;

e131..    x453 - x456 - x770 - x771 + x772 + x773 =E= 22;

e132..    x459 - x462 - x774 - x775 + x776 + x777 =E= 13;

e133..    x465 - x468 - x778 - x779 + x780 + x781 =E= 6;

e134..    x471 - x474 - x782 - x783 + x784 + x785 =E= 23;

e135..    x477 - x480 - x786 - x787 + x788 + x789 =E= 11;

e136..    x483 - x486 - x790 - x791 + x792 + x793 =E= 18;

e137..    x489 - x492 - x794 - x795 + x796 + x797 =E= 23;

e138..    x495 - x498 - x798 - x799 + x800 + x801 =E= -216;

e139..    x501 - x504 - x802 - x803 + x804 + x805 =E= 9;

e140..    x507 - x510 - x806 - x807 + x808 + x809 =E= 17;

e141..    x513 - x516 - x810 - x811 + x812 + x813 =E= 20;

e142..    x519 - x522 - x814 - x815 + x816 + x817 =E= 19;

e143..    x525 - x528 - x818 - x819 + x820 + x821 =E= 9;

e144..    x531 - x534 - x822 - x823 + x824 + x825 =E= 14;

e145..    x537 - x540 - x826 - x827 + x828 + x829 =E= 18;

e146..    x543 - x546 - x830 + x831 =E= 18;

e147..    x549 - x552 - x832 + x833 =E= 15;

e148..    x555 - x558 - x834 + x835 =E= 15;

e149..    x561 - x564 - x836 + x837 =E= 23;

e150..    x567 - x570 - x838 + x839 =E= 11;

e151..    x573 - x576 - x840 + x841 =E= 21;

e152..    x579 - x582 - x842 + x843 =E= 8;

e153..    x585 - x588 - x844 + x845 =E= 10;

e154..    x591 - x594 - x846 + x847 =E= 16;

e155..    x597 - x600 - x848 + x849 =E= -180;

e156..    x603 - x606 - x850 + x851 =E= 12;

e157..    x609 - x612 - x852 + x853 =E= 9;

e158..    x615 - x618 - x854 + x855 =E= 8;

e159..    x621 - x624 - x856 + x857 =E= 5;

e160..    x627 - x630 - x858 + x859 =E= 16;

e161..    x633 - x636 - x860 + x861 =E= 8;

e162..    x65 - x69 + x766 - x768 + x830 - x831 - x862 + x863 =E= 8;

e163..    x73 - x77 + x770 - x772 + x832 - x833 - x864 + x865 =E= 22;

e164..    x81 - x85 + x774 - x776 + x834 - x835 - x866 + x867 =E= 8;

e165..    x89 - x93 + x778 - x780 + x836 - x837 - x868 + x869 =E= 20;

e166..    x97 - x101 + x782 - x784 + x838 - x839 - x870 + x871 =E= 14;

e167..    x105 - x109 + x786 - x788 + x840 - x841 - x872 + x873 =E= 20;

e168..    x113 - x117 + x790 - x792 + x842 - x843 - x874 + x875 =E= 15;

e169..    x121 - x125 + x794 - x796 + x844 - x845 - x876 + x877 =E= 13;

e170..    x129 - x133 + x798 - x800 + x846 - x847 - x878 + x879 =E= 22;

e171..    x137 - x141 + x802 - x804 + x848 - x849 - x880 + x881 =E= 9;

e172..    x145 - x149 + x806 - x808 + x850 - x851 - x882 + x883 =E= -203;

e173..    x153 - x157 + x810 - x812 + x852 - x853 - x884 + x885 =E= 9;

e174..    x161 - x165 + x814 - x816 + x854 - x855 - x886 + x887 =E= 7;

e175..    x169 - x173 + x818 - x820 + x856 - x857 - x888 + x889 =E= 17;

e176..    x177 - x181 + x822 - x824 + x858 - x859 - x890 + x891 =E= 23;

e177..    x185 - x189 + x826 - x828 + x860 - x861 - x892 + x893 =E= 13;

e178..    x320 - x323 + x638 - x640 - x894 + x895 =E= 7;

e179..    x326 - x329 + x642 - x644 - x896 + x897 =E= 8;

e180..    x332 - x335 + x646 - x648 - x898 + x899 =E= 12;

e181..    x338 - x341 + x650 - x652 - x900 + x901 =E= 19;

e182..    x344 - x347 + x654 - x656 - x902 + x903 =E= 20;

e183..    x350 - x353 + x658 - x660 - x904 + x905 =E= 18;

e184..    x356 - x359 + x662 - x664 - x906 + x907 =E= 7;

e185..    x362 - x365 + x666 - x668 - x908 + x909 =E= 13;

e186..    x368 - x371 + x670 - x672 - x910 + x911 =E= 13;

e187..    x374 - x377 + x674 - x676 - x912 + x913 =E= 15;

e188..    x380 - x383 + x678 - x680 - x914 + x915 =E= 8;

e189..    x386 - x389 + x682 - x684 - x916 + x917 =E= -214;

e190..    x392 - x395 + x686 - x688 - x918 + x919 =E= 18;

e191..    x398 - x401 + x690 - x692 - x920 + x921 =E= 25;

e192..    x404 - x407 + x694 - x696 - x922 + x923 =E= 12;

e193..    x410 - x413 + x698 - x700 - x924 + x925 =E= 8;

e194..    x702 - x704 + x894 - x895 - x926 + x927 =E= 22;

e195..    x706 - x708 + x896 - x897 - x928 + x929 =E= 11;

e196..    x710 - x712 + x898 - x899 - x930 + x931 =E= 25;

e197..    x714 - x716 + x900 - x901 - x932 + x933 =E= 17;

e198..    x718 - x720 + x902 - x903 - x934 + x935 =E= 14;

e199..    x722 - x724 + x904 - x905 - x936 + x937 =E= 17;

e200..    x726 - x728 + x906 - x907 - x938 + x939 =E= 7;

e201..    x730 - x732 + x908 - x909 - x940 + x941 =E= 25;

e202..    x734 - x736 + x910 - x911 - x942 + x943 =E= 5;

e203..    x738 - x740 + x912 - x913 - x944 + x945 =E= 11;

e204..    x742 - x744 + x914 - x915 - x946 + x947 =E= 7;

e205..    x746 - x748 + x916 - x917 - x948 + x949 =E= 20;

e206..    x750 - x752 + x918 - x919 - x950 + x951 =E= -217;

e207..    x754 - x756 + x920 - x921 - x952 + x953 =E= 7;

e208..    x758 - x760 + x922 - x923 - x954 + x955 =E= 23;

e209..    x762 - x764 + x924 - x925 - x956 + x957 =E= 13;

e210..    x192 - x196 + x414 - x415 + x639 - x641 + x862 - x863 - x958 + x959
        =E= 14;

e211..    x200 - x204 + x416 - x417 + x643 - x645 + x864 - x865 - x960 + x961
        =E= 23;

e212..    x208 - x212 + x418 - x419 + x647 - x649 + x866 - x867 - x962 + x963
        =E= 9;

e213..    x216 - x220 + x420 - x421 + x651 - x653 + x868 - x869 - x964 + x965
        =E= 13;

e214..    x224 - x228 + x422 - x423 + x655 - x657 + x870 - x871 - x966 + x967
        =E= 16;

e215..    x232 - x236 + x424 - x425 + x659 - x661 + x872 - x873 - x968 + x969
        =E= 24;

e216..    x240 - x244 + x426 - x427 + x663 - x665 + x874 - x875 - x970 + x971
        =E= 7;

e217..    x248 - x252 + x428 - x429 + x667 - x669 + x876 - x877 - x972 + x973
        =E= 6;

e218..    x256 - x260 + x430 - x431 + x671 - x673 + x878 - x879 - x974 + x975
        =E= 22;

e219..    x264 - x268 + x432 - x433 + x675 - x677 + x880 - x881 - x976 + x977
        =E= 10;

e220..    x272 - x276 + x434 - x435 + x679 - x681 + x882 - x883 - x978 + x979
        =E= 23;

e221..    x280 - x284 + x436 - x437 + x683 - x685 + x884 - x885 - x980 + x981
        =E= 22;

e222..    x288 - x292 + x438 - x439 + x687 - x689 + x886 - x887 - x982 + x983
        =E= 12;

e223..    x296 - x300 + x440 - x441 + x691 - x693 + x888 - x889 - x984 + x985
        =E= -189;

e224..    x304 - x308 + x442 - x443 + x695 - x697 + x890 - x891 - x986 + x987
        =E= 13;

e225..    x312 - x316 + x444 - x445 + x699 - x701 + x892 - x893 - x988 + x989
        =E= 22;

e226..    x193 - x197 + x544 - x547 + x767 - x769 + x926 - x927 + x958 - x959
        - x990 + x991 =E= 6;

e227..    x201 - x205 + x550 - x553 + x771 - x773 + x928 - x929 + x960 - x961
        - x992 + x993 =E= 5;

e228..    x209 - x213 + x556 - x559 + x775 - x777 + x930 - x931 + x962 - x963
        - x994 + x995 =E= 6;

e229..    x217 - x221 + x562 - x565 + x779 - x781 + x932 - x933 + x964 - x965
        - x996 + x997 =E= 12;

e230..    x225 - x229 + x568 - x571 + x783 - x785 + x934 - x935 + x966 - x967
        - x998 + x999 =E= 15;

e231..    x233 - x237 + x574 - x577 + x787 - x789 + x936 - x937 + x968 - x969
        - x1000 + x1001 =E= 8;

e232..    x241 - x245 + x580 - x583 + x791 - x793 + x938 - x939 + x970 - x971
        - x1002 + x1003 =E= 10;

e233..    x249 - x253 + x586 - x589 + x795 - x797 + x940 - x941 + x972 - x973
        - x1004 + x1005 =E= 10;

e234..    x257 - x261 + x592 - x595 + x799 - x801 + x942 - x943 + x974 - x975
        - x1006 + x1007 =E= 7;

e235..    x265 - x269 + x598 - x601 + x803 - x805 + x944 - x945 + x976 - x977
        - x1008 + x1009 =E= 15;

e236..    x273 - x277 + x604 - x607 + x807 - x809 + x946 - x947 + x978 - x979
        - x1010 + x1011 =E= 5;

e237..    x281 - x285 + x610 - x613 + x811 - x813 + x948 - x949 + x980 - x981
        - x1012 + x1013 =E= 20;

e238..    x289 - x293 + x616 - x619 + x815 - x817 + x950 - x951 + x982 - x983
        - x1014 + x1015 =E= 14;

e239..    x297 - x301 + x622 - x625 + x819 - x821 + x952 - x953 + x984 - x985
        - x1016 + x1017 =E= 17;

e240..    x305 - x309 + x628 - x631 + x823 - x825 + x954 - x955 + x986 - x987
        - x1018 + x1019 =E= -240;

e241..    x313 - x317 + x634 - x637 + x827 - x829 + x956 - x957 + x988 - x989
        - x1020 + x1021 =E= 7;

e242..    x448 - x451 + x703 - x705 + x990 - x991 =E= 25;

e243..    x454 - x457 + x707 - x709 + x992 - x993 =E= 23;

e244..    x460 - x463 + x711 - x713 + x994 - x995 =E= 22;

e245..    x466 - x469 + x715 - x717 + x996 - x997 =E= 17;

e246..    x472 - x475 + x719 - x721 + x998 - x999 =E= 13;

e247..    x478 - x481 + x723 - x725 + x1000 - x1001 =E= 9;

e248..    x484 - x487 + x727 - x729 + x1002 - x1003 =E= 24;

e249..    x490 - x493 + x731 - x733 + x1004 - x1005 =E= 25;

e250..    x496 - x499 + x735 - x737 + x1006 - x1007 =E= 8;

e251..    x502 - x505 + x739 - x741 + x1008 - x1009 =E= 10;

e252..    x508 - x511 + x743 - x745 + x1010 - x1011 =E= 9;

e253..    x514 - x517 + x747 - x749 + x1012 - x1013 =E= 20;

e254..    x520 - x523 + x751 - x753 + x1014 - x1015 =E= 7;

e255..    x526 - x529 + x755 - x757 + x1016 - x1017 =E= 20;

e256..    x532 - x535 + x759 - x761 + x1018 - x1019 =E= 8;

e257..    x538 - x541 + x763 - x765 + x1020 - x1021 =E= -226;

e258..  - x62 - x70 - x78 - x86 - x94 - x102 - x110 - x118 - x126 - x134 - x142
        - x150 - x158 - x166 - x174 - x182 + x1022 =G= 0;

e259..  - x63 - x71 - x79 - x87 - x95 - x103 - x111 - x119 - x127 - x135 - x143
        - x151 - x159 - x167 - x175 - x183 + x1023 =G= 0;

e260..  - x64 - x72 - x80 - x88 - x96 - x104 - x112 - x120 - x128 - x136 - x144
        - x152 - x160 - x168 - x176 - x184 + x1024 =G= 0;

e261..  - x65 - x73 - x81 - x89 - x97 - x105 - x113 - x121 - x129 - x137 - x145
        - x153 - x161 - x169 - x177 - x185 + x1025 =G= 0;

e262..  - x66 - x74 - x82 - x90 - x98 - x106 - x114 - x122 - x130 - x138 - x146
        - x154 - x162 - x170 - x178 - x186 + x1026 =G= 0;

e263..  - x190 - x198 - x206 - x214 - x222 - x230 - x238 - x246 - x254 - x262
        - x270 - x278 - x286 - x294 - x302 - x310 + x1027 =G= 0;

e264..  - x191 - x199 - x207 - x215 - x223 - x231 - x239 - x247 - x255 - x263
        - x271 - x279 - x287 - x295 - x303 - x311 + x1028 =G= 0;

e265..  - x192 - x200 - x208 - x216 - x224 - x232 - x240 - x248 - x256 - x264
        - x272 - x280 - x288 - x296 - x304 - x312 + x1029 =G= 0;

e266..  - x193 - x201 - x209 - x217 - x225 - x233 - x241 - x249 - x257 - x265
        - x273 - x281 - x289 - x297 - x305 - x313 + x1030 =G= 0;

e267..  - x194 - x202 - x210 - x218 - x226 - x234 - x242 - x250 - x258 - x266
        - x274 - x282 - x290 - x298 - x306 - x314 + x1031 =G= 0;

e268..  - x318 - x324 - x330 - x336 - x342 - x348 - x354 - x360 - x366 - x372
        - x378 - x384 - x390 - x396 - x402 - x408 + x1032 =G= 0;

e269..  - x319 - x325 - x331 - x337 - x343 - x349 - x355 - x361 - x367 - x373
        - x379 - x385 - x391 - x397 - x403 - x409 + x1033 =G= 0;

e270..  - x320 - x326 - x332 - x338 - x344 - x350 - x356 - x362 - x368 - x374
        - x380 - x386 - x392 - x398 - x404 - x410 + x1034 =G= 0;

e271..  - x67 - x75 - x83 - x91 - x99 - x107 - x115 - x123 - x131 - x139 - x147
        - x155 - x163 - x171 - x179 - x187 + x1035 =G= 0;

e272..  - x195 - x203 - x211 - x219 - x227 - x235 - x243 - x251 - x259 - x267
        - x275 - x283 - x291 - x299 - x307 - x315 + x1036 =G= 0;

e273..  - x414 - x416 - x418 - x420 - x422 - x424 - x426 - x428 - x430 - x432
        - x434 - x436 - x438 - x440 - x442 - x444 + x1037 =G= 0;

e274..  - x446 - x452 - x458 - x464 - x470 - x476 - x482 - x488 - x494 - x500
        - x506 - x512 - x518 - x524 - x530 - x536 + x1038 =G= 0;

e275..  - x447 - x453 - x459 - x465 - x471 - x477 - x483 - x489 - x495 - x501
        - x507 - x513 - x519 - x525 - x531 - x537 + x1039 =G= 0;

e276..  - x448 - x454 - x460 - x466 - x472 - x478 - x484 - x490 - x496 - x502
        - x508 - x514 - x520 - x526 - x532 - x538 + x1040 =G= 0;

e277..  - x68 - x76 - x84 - x92 - x100 - x108 - x116 - x124 - x132 - x140
        - x148 - x156 - x164 - x172 - x180 - x188 + x1041 =G= 0;

e278..  - x449 - x455 - x461 - x467 - x473 - x479 - x485 - x491 - x497 - x503
        - x509 - x515 - x521 - x527 - x533 - x539 + x1042 =G= 0;

e279..  - x542 - x548 - x554 - x560 - x566 - x572 - x578 - x584 - x590 - x596
        - x602 - x608 - x614 - x620 - x626 - x632 + x1043 =G= 0;

e280..  - x543 - x549 - x555 - x561 - x567 - x573 - x579 - x585 - x591 - x597
        - x603 - x609 - x615 - x621 - x627 - x633 + x1044 =G= 0;

e281..  - x544 - x550 - x556 - x562 - x568 - x574 - x580 - x586 - x592 - x598
        - x604 - x610 - x616 - x622 - x628 - x634 + x1045 =G= 0;

e282..  - x321 - x327 - x333 - x339 - x345 - x351 - x357 - x363 - x369 - x375
        - x381 - x387 - x393 - x399 - x405 - x411 + x1046 =G= 0;

e283..  - x638 - x642 - x646 - x650 - x654 - x658 - x662 - x666 - x670 - x674
        - x678 - x682 - x686 - x690 - x694 - x698 + x1047 =G= 0;

e284..  - x639 - x643 - x647 - x651 - x655 - x659 - x663 - x667 - x671 - x675
        - x679 - x683 - x687 - x691 - x695 - x699 + x1048 =G= 0;

e285..  - x322 - x328 - x334 - x340 - x346 - x352 - x358 - x364 - x370 - x376
        - x382 - x388 - x394 - x400 - x406 - x412 + x1049 =G= 0;

e286..  - x545 - x551 - x557 - x563 - x569 - x575 - x581 - x587 - x593 - x599
        - x605 - x611 - x617 - x623 - x629 - x635 + x1050 =G= 0;

e287..  - x702 - x706 - x710 - x714 - x718 - x722 - x726 - x730 - x734 - x738
        - x742 - x746 - x750 - x754 - x758 - x762 + x1051 =G= 0;

e288..  - x703 - x707 - x711 - x715 - x719 - x723 - x727 - x731 - x735 - x739
        - x743 - x747 - x751 - x755 - x759 - x763 + x1052 =G= 0;

e289..  - x450 - x456 - x462 - x468 - x474 - x480 - x486 - x492 - x498 - x504
        - x510 - x516 - x522 - x528 - x534 - x540 + x1053 =G= 0;

e290..  - x766 - x770 - x774 - x778 - x782 - x786 - x790 - x794 - x798 - x802
        - x806 - x810 - x814 - x818 - x822 - x826 + x1054 =G= 0;

e291..  - x767 - x771 - x775 - x779 - x783 - x787 - x791 - x795 - x799 - x803
        - x807 - x811 - x815 - x819 - x823 - x827 + x1055 =G= 0;

e292..  - x546 - x552 - x558 - x564 - x570 - x576 - x582 - x588 - x594 - x600
        - x606 - x612 - x618 - x624 - x630 - x636 + x1056 =G= 0;

e293..  - x830 - x832 - x834 - x836 - x838 - x840 - x842 - x844 - x846 - x848
        - x850 - x852 - x854 - x856 - x858 - x860 + x1057 =G= 0;

e294..  - x69 - x77 - x85 - x93 - x101 - x109 - x117 - x125 - x133 - x141
        - x149 - x157 - x165 - x173 - x181 - x189 + x1058 =G= 0;

e295..  - x768 - x772 - x776 - x780 - x784 - x788 - x792 - x796 - x800 - x804
        - x808 - x812 - x816 - x820 - x824 - x828 + x1059 =G= 0;

e296..  - x831 - x833 - x835 - x837 - x839 - x841 - x843 - x845 - x847 - x849
        - x851 - x853 - x855 - x857 - x859 - x861 + x1060 =G= 0;

e297..  - x862 - x864 - x866 - x868 - x870 - x872 - x874 - x876 - x878 - x880
        - x882 - x884 - x886 - x888 - x890 - x892 + x1061 =G= 0;

e298..  - x323 - x329 - x335 - x341 - x347 - x353 - x359 - x365 - x371 - x377
        - x383 - x389 - x395 - x401 - x407 - x413 + x1062 =G= 0;

e299..  - x640 - x644 - x648 - x652 - x656 - x660 - x664 - x668 - x672 - x676
        - x680 - x684 - x688 - x692 - x696 - x700 + x1063 =G= 0;

e300..  - x894 - x896 - x898 - x900 - x902 - x904 - x906 - x908 - x910 - x912
        - x914 - x916 - x918 - x920 - x922 - x924 + x1064 =G= 0;

e301..  - x704 - x708 - x712 - x716 - x720 - x724 - x728 - x732 - x736 - x740
        - x744 - x748 - x752 - x756 - x760 - x764 + x1065 =G= 0;

e302..  - x895 - x897 - x899 - x901 - x903 - x905 - x907 - x909 - x911 - x913
        - x915 - x917 - x919 - x921 - x923 - x925 + x1066 =G= 0;

e303..  - x926 - x928 - x930 - x932 - x934 - x936 - x938 - x940 - x942 - x944
        - x946 - x948 - x950 - x952 - x954 - x956 + x1067 =G= 0;

e304..  - x196 - x204 - x212 - x220 - x228 - x236 - x244 - x252 - x260 - x268
        - x276 - x284 - x292 - x300 - x308 - x316 + x1068 =G= 0;

e305..  - x415 - x417 - x419 - x421 - x423 - x425 - x427 - x429 - x431 - x433
        - x435 - x437 - x439 - x441 - x443 - x445 + x1069 =G= 0;

e306..  - x641 - x645 - x649 - x653 - x657 - x661 - x665 - x669 - x673 - x677
        - x681 - x685 - x689 - x693 - x697 - x701 + x1070 =G= 0;

e307..  - x863 - x865 - x867 - x869 - x871 - x873 - x875 - x877 - x879 - x881
        - x883 - x885 - x887 - x889 - x891 - x893 + x1071 =G= 0;

e308..  - x958 - x960 - x962 - x964 - x966 - x968 - x970 - x972 - x974 - x976
        - x978 - x980 - x982 - x984 - x986 - x988 + x1072 =G= 0;

e309..  - x197 - x205 - x213 - x221 - x229 - x237 - x245 - x253 - x261 - x269
        - x277 - x285 - x293 - x301 - x309 - x317 + x1073 =G= 0;

e310..  - x547 - x553 - x559 - x565 - x571 - x577 - x583 - x589 - x595 - x601
        - x607 - x613 - x619 - x625 - x631 - x637 + x1074 =G= 0;

e311..  - x769 - x773 - x777 - x781 - x785 - x789 - x793 - x797 - x801 - x805
        - x809 - x813 - x817 - x821 - x825 - x829 + x1075 =G= 0;

e312..  - x927 - x929 - x931 - x933 - x935 - x937 - x939 - x941 - x943 - x945
        - x947 - x949 - x951 - x953 - x955 - x957 + x1076 =G= 0;

e313..  - x959 - x961 - x963 - x965 - x967 - x969 - x971 - x973 - x975 - x977
        - x979 - x981 - x983 - x985 - x987 - x989 + x1077 =G= 0;

e314..  - x990 - x992 - x994 - x996 - x998 - x1000 - x1002 - x1004 - x1006
        - x1008 - x1010 - x1012 - x1014 - x1016 - x1018 - x1020 + x1078 =G= 0;

e315..  - x451 - x457 - x463 - x469 - x475 - x481 - x487 - x493 - x499 - x505
        - x511 - x517 - x523 - x529 - x535 - x541 + x1079 =G= 0;

e316..  - x705 - x709 - x713 - x717 - x721 - x725 - x729 - x733 - x737 - x741
        - x745 - x749 - x753 - x757 - x761 - x765 + x1080 =G= 0;

e317..  - x991 - x993 - x995 - x997 - x999 - x1001 - x1003 - x1005 - x1007
        - x1009 - x1011 - x1013 - x1015 - x1017 - x1019 - x1021 + x1081 =G= 0;

e318..    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 =L= 14012;

e319..  - 137*b2 + x62 + x70 + x78 + x86 + x94 + x102 + x110 + x118 + x126
        + x134 + x142 + x150 + x158 + x166 + x174 + x182 =L= 0;

e320..  - 505*b3 + x63 + x71 + x79 + x87 + x95 + x103 + x111 + x119 + x127
        + x135 + x143 + x151 + x159 + x167 + x175 + x183 =L= 0;

e321..  - 427*b4 + x64 + x72 + x80 + x88 + x96 + x104 + x112 + x120 + x128
        + x136 + x144 + x152 + x160 + x168 + x176 + x184 =L= 0;

e322..  - 559*b5 + x65 + x73 + x81 + x89 + x97 + x105 + x113 + x121 + x129
        + x137 + x145 + x153 + x161 + x169 + x177 + x185 =L= 0;

e323..  - 137*b6 + x66 + x74 + x82 + x90 + x98 + x106 + x114 + x122 + x130
        + x138 + x146 + x154 + x162 + x170 + x178 + x186 =L= 0;

e324..  - 196*b7 + x190 + x198 + x206 + x214 + x222 + x230 + x238 + x246 + x254
        + x262 + x270 + x278 + x286 + x294 + x302 + x310 =L= 0;

e325..  - 341*b8 + x191 + x199 + x207 + x215 + x223 + x231 + x239 + x247 + x255
        + x263 + x271 + x279 + x287 + x295 + x303 + x311 =L= 0;

e326..  - 263*b9 + x192 + x200 + x208 + x216 + x224 + x232 + x240 + x248 + x256
        + x264 + x272 + x280 + x288 + x296 + x304 + x312 =L= 0;

e327..  - 245*b10 + x193 + x201 + x209 + x217 + x225 + x233 + x241 + x249
        + x257 + x265 + x273 + x281 + x289 + x297 + x305 + x313 =L= 0;

e328..  - 196*b11 + x194 + x202 + x210 + x218 + x226 + x234 + x242 + x250
        + x258 + x266 + x274 + x282 + x290 + x298 + x306 + x314 =L= 0;

e329..  - 346*b12 + x318 + x324 + x330 + x336 + x342 + x348 + x354 + x360
        + x366 + x372 + x378 + x384 + x390 + x396 + x402 + x408 =L= 0;

e330..  - 361*b13 + x319 + x325 + x331 + x337 + x343 + x349 + x355 + x361
        + x367 + x373 + x379 + x385 + x391 + x397 + x403 + x409 =L= 0;

e331..  - 179*b14 + x320 + x326 + x332 + x338 + x344 + x350 + x356 + x362
        + x368 + x374 + x380 + x386 + x392 + x398 + x404 + x410 =L= 0;

e332..  - 505*b15 + x67 + x75 + x83 + x91 + x99 + x107 + x115 + x123 + x131
        + x139 + x147 + x155 + x163 + x171 + x179 + x187 =L= 0;

e333..  - 341*b16 + x195 + x203 + x211 + x219 + x227 + x235 + x243 + x251
        + x259 + x267 + x275 + x283 + x291 + x299 + x307 + x315 =L= 0;

e334..  - 160*b17 + x414 + x416 + x418 + x420 + x422 + x424 + x426 + x428
        + x430 + x432 + x434 + x436 + x438 + x440 + x442 + x444 =L= 0;

e335..  - 389*b18 + x446 + x452 + x458 + x464 + x470 + x476 + x482 + x488
        + x494 + x500 + x506 + x512 + x518 + x524 + x530 + x536 =L= 0;

e336..  - 153*b19 + x447 + x453 + x459 + x465 + x471 + x477 + x483 + x489
        + x495 + x501 + x507 + x513 + x519 + x525 + x531 + x537 =L= 0;

e337..  - 164*b20 + x448 + x454 + x460 + x466 + x472 + x478 + x484 + x490
        + x496 + x502 + x508 + x514 + x520 + x526 + x532 + x538 =L= 0;

e338..  - 427*b21 + x68 + x76 + x84 + x92 + x100 + x108 + x116 + x124 + x132
        + x140 + x148 + x156 + x164 + x172 + x180 + x188 =L= 0;

e339..  - 389*b22 + x449 + x455 + x461 + x467 + x473 + x479 + x485 + x491
        + x497 + x503 + x509 + x515 + x521 + x527 + x533 + x539 =L= 0;

e340..  - 513*b23 + x542 + x548 + x554 + x560 + x566 + x572 + x578 + x584
        + x590 + x596 + x602 + x608 + x614 + x620 + x626 + x632 =L= 0;

e341..  - 353*b24 + x543 + x549 + x555 + x561 + x567 + x573 + x579 + x585
        + x591 + x597 + x603 + x609 + x615 + x621 + x627 + x633 =L= 0;

e342..  - 305*b25 + x544 + x550 + x556 + x562 + x568 + x574 + x580 + x586
        + x592 + x598 + x604 + x610 + x616 + x622 + x628 + x634 =L= 0;

e343..  - 346*b26 + x321 + x327 + x333 + x339 + x345 + x351 + x357 + x363
        + x369 + x375 + x381 + x387 + x393 + x399 + x405 + x411 =L= 0;

e344..  - 463*b27 + x638 + x642 + x646 + x650 + x654 + x658 + x662 + x666
        + x670 + x674 + x678 + x682 + x686 + x690 + x694 + x698 =L= 0;

e345..  - 511*b28 + x639 + x643 + x647 + x651 + x655 + x659 + x663 + x667
        + x671 + x675 + x679 + x683 + x687 + x691 + x695 + x699 =L= 0;

e346..  - 361*b29 + x322 + x328 + x334 + x340 + x346 + x352 + x358 + x364
        + x370 + x376 + x382 + x388 + x394 + x400 + x406 + x412 =L= 0;

e347..  - 513*b30 + x545 + x551 + x557 + x563 + x569 + x575 + x581 + x587
        + x593 + x599 + x605 + x611 + x617 + x623 + x629 + x635 =L= 0;

e348..  - 218*b31 + x702 + x706 + x710 + x714 + x718 + x722 + x726 + x730
        + x734 + x738 + x742 + x746 + x750 + x754 + x758 + x762 =L= 0;

e349..  - 338*b32 + x703 + x707 + x711 + x715 + x719 + x723 + x727 + x731
        + x735 + x739 + x743 + x747 + x751 + x755 + x759 + x763 =L= 0;

e350..  - 153*b33 + x450 + x456 + x462 + x468 + x474 + x480 + x486 + x492
        + x498 + x504 + x510 + x516 + x522 + x528 + x534 + x540 =L= 0;

e351..  - 439*b34 + x766 + x770 + x774 + x778 + x782 + x786 + x790 + x794
        + x798 + x802 + x806 + x810 + x814 + x818 + x822 + x826 =L= 0;

e352..  - 194*b35 + x767 + x771 + x775 + x779 + x783 + x787 + x791 + x795
        + x799 + x803 + x807 + x811 + x815 + x819 + x823 + x827 =L= 0;

e353..  - 353*b36 + x546 + x552 + x558 + x564 + x570 + x576 + x582 + x588
        + x594 + x600 + x606 + x612 + x618 + x624 + x630 + x636 =L= 0;

e354..  - 415*b37 + x830 + x832 + x834 + x836 + x838 + x840 + x842 + x844
        + x846 + x848 + x850 + x852 + x854 + x856 + x858 + x860 =L= 0;

e355..  - 559*b38 + x69 + x77 + x85 + x93 + x101 + x109 + x117 + x125 + x133
        + x141 + x149 + x157 + x165 + x173 + x181 + x189 =L= 0;

e356..  - 439*b39 + x768 + x772 + x776 + x780 + x784 + x788 + x792 + x796
        + x800 + x804 + x808 + x812 + x816 + x820 + x824 + x828 =L= 0;

e357..  - 415*b40 + x831 + x833 + x835 + x837 + x839 + x841 + x843 + x845
        + x847 + x849 + x851 + x853 + x855 + x857 + x859 + x861 =L= 0;

e358..  - 421*b41 + x862 + x864 + x866 + x868 + x870 + x872 + x874 + x876
        + x878 + x880 + x882 + x884 + x886 + x888 + x890 + x892 =L= 0;

e359..  - 179*b42 + x323 + x329 + x335 + x341 + x347 + x353 + x359 + x365
        + x371 + x377 + x383 + x389 + x395 + x401 + x407 + x413 =L= 0;

e360..  - 463*b43 + x640 + x644 + x648 + x652 + x656 + x660 + x664 + x668
        + x672 + x676 + x680 + x684 + x688 + x692 + x696 + x700 =L= 0;

e361..  - 534*b44 + x894 + x896 + x898 + x900 + x902 + x904 + x906 + x908
        + x910 + x912 + x914 + x916 + x918 + x920 + x922 + x924 =L= 0;

e362..  - 218*b45 + x704 + x708 + x712 + x716 + x720 + x724 + x728 + x732
        + x736 + x740 + x744 + x748 + x752 + x756 + x760 + x764 =L= 0;

e363..  - 534*b46 + x895 + x897 + x899 + x901 + x903 + x905 + x907 + x909
        + x911 + x913 + x915 + x917 + x919 + x921 + x923 + x925 =L= 0;

e364..  - 425*b47 + x926 + x928 + x930 + x932 + x934 + x936 + x938 + x940
        + x942 + x944 + x946 + x948 + x950 + x952 + x954 + x956 =L= 0;

e365..  - 263*b48 + x196 + x204 + x212 + x220 + x228 + x236 + x244 + x252
        + x260 + x268 + x276 + x284 + x292 + x300 + x308 + x316 =L= 0;

e366..  - 160*b49 + x415 + x417 + x419 + x421 + x423 + x425 + x427 + x429
        + x431 + x433 + x435 + x437 + x439 + x441 + x443 + x445 =L= 0;

e367..  - 511*b50 + x641 + x645 + x649 + x653 + x657 + x661 + x665 + x669
        + x673 + x677 + x681 + x685 + x689 + x693 + x697 + x701 =L= 0;

e368..  - 421*b51 + x863 + x865 + x867 + x869 + x871 + x873 + x875 + x877
        + x879 + x881 + x883 + x885 + x887 + x889 + x891 + x893 =L= 0;

e369..  - 497*b52 + x958 + x960 + x962 + x964 + x966 + x968 + x970 + x972
        + x974 + x976 + x978 + x980 + x982 + x984 + x986 + x988 =L= 0;

e370..  - 245*b53 + x197 + x205 + x213 + x221 + x229 + x237 + x245 + x253
        + x261 + x269 + x277 + x285 + x293 + x301 + x309 + x317 =L= 0;

e371..  - 305*b54 + x547 + x553 + x559 + x565 + x571 + x577 + x583 + x589
        + x595 + x601 + x607 + x613 + x619 + x625 + x631 + x637 =L= 0;

e372..  - 194*b55 + x769 + x773 + x777 + x781 + x785 + x789 + x793 + x797
        + x801 + x805 + x809 + x813 + x817 + x821 + x825 + x829 =L= 0;

e373..  - 425*b56 + x927 + x929 + x931 + x933 + x935 + x937 + x939 + x941
        + x943 + x945 + x947 + x949 + x951 + x953 + x955 + x957 =L= 0;

e374..  - 497*b57 + x959 + x961 + x963 + x965 + x967 + x969 + x971 + x973
        + x975 + x977 + x979 + x981 + x983 + x985 + x987 + x989 =L= 0;

e375..  - 552*b58 + x990 + x992 + x994 + x996 + x998 + x1000 + x1002 + x1004
        + x1006 + x1008 + x1010 + x1012 + x1014 + x1016 + x1018 + x1020 =L= 0;

e376..  - 164*b59 + x451 + x457 + x463 + x469 + x475 + x481 + x487 + x493
        + x499 + x505 + x511 + x517 + x523 + x529 + x535 + x541 =L= 0;

e377..  - 338*b60 + x705 + x709 + x713 + x717 + x721 + x725 + x729 + x733
        + x737 + x741 + x745 + x749 + x753 + x757 + x761 + x765 =L= 0;

e378..  - 552*b61 + x991 + x993 + x995 + x997 + x999 + x1001 + x1003 + x1005
        + x1007 + x1009 + x1011 + x1013 + x1015 + x1017 + x1019 + x1021 =L= 0;

e379.. 137*x1022*b2 - 137*x1082*b2 + x1082*x1022 =L= 0;

e380.. 505*x1023*b3 - 505*x1083*b3 + x1083*x1023 =L= 0;

e381.. 427*x1024*b4 - 427*x1084*b4 + x1084*x1024 =L= 0;

e382.. 559*x1025*b5 - 559*x1085*b5 + x1085*x1025 =L= 0;

e383.. 137*x1026*b6 - 137*x1086*b6 + x1086*x1026 =L= 0;

e384.. 196*x1027*b7 - 196*x1087*b7 + x1087*x1027 =L= 0;

e385.. 341*x1028*b8 - 341*x1088*b8 + x1088*x1028 =L= 0;

e386.. 263*x1029*b9 - 263*x1089*b9 + x1089*x1029 =L= 0;

e387.. 245*x1030*b10 - 245*x1090*b10 + x1090*x1030 =L= 0;

e388.. 196*x1031*b11 - 196*x1091*b11 + x1091*x1031 =L= 0;

e389.. 346*x1032*b12 - 346*x1092*b12 + x1092*x1032 =L= 0;

e390.. 361*x1033*b13 - 361*x1093*b13 + x1093*x1033 =L= 0;

e391.. 179*x1034*b14 - 179*x1094*b14 + x1094*x1034 =L= 0;

e392.. 505*x1035*b15 - 505*x1095*b15 + x1095*x1035 =L= 0;

e393.. 341*x1036*b16 - 341*x1096*b16 + x1096*x1036 =L= 0;

e394.. 160*x1037*b17 - 160*x1097*b17 + x1097*x1037 =L= 0;

e395.. 389*x1038*b18 - 389*x1098*b18 + x1098*x1038 =L= 0;

e396.. 153*x1039*b19 - 153*x1099*b19 + x1099*x1039 =L= 0;

e397.. 164*x1040*b20 - 164*x1100*b20 + x1100*x1040 =L= 0;

e398.. 427*x1041*b21 - 427*x1101*b21 + x1101*x1041 =L= 0;

e399.. 389*x1042*b22 - 389*x1102*b22 + x1102*x1042 =L= 0;

e400.. 513*x1043*b23 - 513*x1103*b23 + x1103*x1043 =L= 0;

e401.. 353*x1044*b24 - 353*x1104*b24 + x1104*x1044 =L= 0;

e402.. 305*x1045*b25 - 305*x1105*b25 + x1105*x1045 =L= 0;

e403.. 346*x1046*b26 - 346*x1106*b26 + x1106*x1046 =L= 0;

e404.. 463*x1047*b27 - 463*x1107*b27 + x1107*x1047 =L= 0;

e405.. 511*x1048*b28 - 511*x1108*b28 + x1108*x1048 =L= 0;

e406.. 361*x1049*b29 - 361*x1109*b29 + x1109*x1049 =L= 0;

e407.. 513*x1050*b30 - 513*x1110*b30 + x1110*x1050 =L= 0;

e408.. 218*x1051*b31 - 218*x1111*b31 + x1111*x1051 =L= 0;

e409.. 338*x1052*b32 - 338*x1112*b32 + x1112*x1052 =L= 0;

e410.. 153*x1053*b33 - 153*x1113*b33 + x1113*x1053 =L= 0;

e411.. 439*x1054*b34 - 439*x1114*b34 + x1114*x1054 =L= 0;

e412.. 194*x1055*b35 - 194*x1115*b35 + x1115*x1055 =L= 0;

e413.. 353*x1056*b36 - 353*x1116*b36 + x1116*x1056 =L= 0;

e414.. 415*x1057*b37 - 415*x1117*b37 + x1117*x1057 =L= 0;

e415.. 559*x1058*b38 - 559*x1118*b38 + x1118*x1058 =L= 0;

e416.. 439*x1059*b39 - 439*x1119*b39 + x1119*x1059 =L= 0;

e417.. 415*x1060*b40 - 415*x1120*b40 + x1120*x1060 =L= 0;

e418.. 421*x1061*b41 - 421*x1121*b41 + x1121*x1061 =L= 0;

e419.. 179*x1062*b42 - 179*x1122*b42 + x1122*x1062 =L= 0;

e420.. 463*x1063*b43 - 463*x1123*b43 + x1123*x1063 =L= 0;

e421.. 534*x1064*b44 - 534*x1124*b44 + x1124*x1064 =L= 0;

e422.. 218*x1065*b45 - 218*x1125*b45 + x1125*x1065 =L= 0;

e423.. 534*x1066*b46 - 534*x1126*b46 + x1126*x1066 =L= 0;

e424.. 425*x1067*b47 - 425*x1127*b47 + x1127*x1067 =L= 0;

e425.. 263*x1068*b48 - 263*x1128*b48 + x1128*x1068 =L= 0;

e426.. 160*x1069*b49 - 160*x1129*b49 + x1129*x1069 =L= 0;

e427.. 511*x1070*b50 - 511*x1130*b50 + x1130*x1070 =L= 0;

e428.. 421*x1071*b51 - 421*x1131*b51 + x1131*x1071 =L= 0;

e429.. 497*x1072*b52 - 497*x1132*b52 + x1132*x1072 =L= 0;

e430.. 245*x1073*b53 - 245*x1133*b53 + x1133*x1073 =L= 0;

e431.. 305*x1074*b54 - 305*x1134*b54 + x1134*x1074 =L= 0;

e432.. 194*x1075*b55 - 194*x1135*b55 + x1135*x1075 =L= 0;

e433.. 425*x1076*b56 - 425*x1136*b56 + x1136*x1076 =L= 0;

e434.. 497*x1077*b57 - 497*x1137*b57 + x1137*x1077 =L= 0;

e435.. 552*x1078*b58 - 552*x1138*b58 + x1138*x1078 =L= 0;

e436.. 164*x1079*b59 - 164*x1139*b59 + x1139*x1079 =L= 0;

e437.. 338*x1080*b60 - 338*x1140*b60 + x1140*x1080 =L= 0;

e438.. 552*x1081*b61 - 552*x1141*b61 + x1141*x1081 =L= 0;

Model m / all /;

m.limrow=0; m.limcol=0;

$if NOT '%gams.u1%' == '' $include '%gams.u1%'

m.tolproj = 0.0;
$if not set MIQCP $set MIQCP MIQCP
Solve m using %MIQCP% minimizing objvar;





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