MINLPLib

A Library of Mixed-Integer and Continuous Nonlinear Programming Instances

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Instance ndcc16persp

Multicommodity network design problem with congestion constraints and fixed costs for opening arcs.
Perspective reformulation of ndcc16.
Formats ams gms lp mod nl osil pip py
Primal Bounds (infeas ≤ 1e-08)
125.62126710 p1 ( gdx sol )
(infeas: 1e-10)
117.00943930 p2 ( gdx sol )
(infeas: 3e-11)
116.85010120 p3 ( gdx sol )
(infeas: 2e-11)
115.71275040 p4 ( gdx sol )
(infeas: 7e-12)
113.54594830 p5 ( gdx sol )
(infeas: 5e-11)
Other points (infeas > 1e-08)  
Dual Bounds
65.72940432 (ANTIGONE)
68.71002774 (BARON)
55.82512287 (COUENNE)
66.43662775 (GUROBI)
64.33938283 (LINDO)
68.89198266 (SCIP)
67.52889964 (SHOT)
References Günlük, Oktay and Linderoth, Jeff T, Perspective reformulations of mixed integer nonlinear programs with indicator variables, Mathematical Programming, 124:1-2, 2010, 183-205.
Günlük, Oktay and Linderoth, Jeff T, Perspective Reformulation and Applications. In Lee, Jon and Leyffer, Sven, Eds, Mixed Integer Nonlinear Programming, Springer, 2012, 61-89.
Boorstyn, R R and Frank, H, Large-scale network topological optimization, IEEE Transactions on Communications, 25:1, 1977, 29-47.
Application Network Design
Added to library 28 Feb 2014
Problem type MBQCP
#Variables 1140
#Binary Variables 60
#Integer Variables 0
#Nonlinear Variables 180
#Nonlinear Binary Variables 60
#Nonlinear Integer Variables 0
Objective Sense min
Objective type linear
Objective curvature linear
#Nonzeros in Objective 60
#Nonlinear Nonzeros in Objective 0
#Constraints 437
#Linear Constraints 377
#Quadratic Constraints 60
#Polynomial Constraints 0
#Signomial Constraints 0
#General Nonlinear Constraints 0
Operands in Gen. Nonlin. Functions  
Constraints curvature indefinite
#Nonzeros in Jacobian 4200
#Nonlinear Nonzeros in Jacobian 180
#Nonzeros in (Upper-Left) Hessian of Lagrangian 360
#Nonzeros in Diagonal of Hessian of Lagrangian 0
#Blocks in Hessian of Lagrangian 60
Minimal blocksize in Hessian of Lagrangian 3
Maximal blocksize in Hessian of Lagrangian 3
Average blocksize in Hessian of Lagrangian 3.0
#Semicontinuities 0
#Nonlinear Semicontinuities 0
#SOS type 1 0
#SOS type 2 0
Minimal coefficient 1.0000e+00
Maximal coefficient 5.5900e+02
Infeasibility of initial point 259
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
*        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
*  
*  Nonzero counts
*      Total    const       NL      DLL
*       4261     4081      180        0
*
*  Solve m using MINLP minimizing objvar;


Variables  x1,x2,x3,x4,x5,x6,x7,x8,x9,x10,x11,x12,x13,x14,x15,x16,x17,x18,x19
          ,x20,x21,x22,x23,x24,x25,x26,x27,x28,x29,x30,x31,x32,x33,x34,x35,x36
          ,x37,x38,x39,x40,x41,x42,x43,x44,x45,x46,x47,x48,x49,x50,x51,x52,x53
          ,x54,x55,x56,x57,x58,x59,x60,x61,x62,x63,x64,x65,x66,x67,x68,x69,x70
          ,x71,x72,x73,x74,x75,x76,x77,x78,x79,x80,x81,x82,x83,x84,x85,x86,x87
          ,x88,x89,x90,x91,x92,x93,x94,x95,x96,x97,x98,x99,x100,x101,x102,x103
          ,x104,x105,x106,x107,x108,x109,x110,x111,x112,x113,x114,x115,x116
          ,x117,x118,x119,x120,x121,x122,x123,x124,x125,x126,x127,x128,x129
          ,x130,x131,x132,x133,x134,x135,x136,x137,x138,x139,x140,x141,x142
          ,x143,x144,x145,x146,x147,x148,x149,x150,x151,x152,x153,x154,x155
          ,x156,x157,x158,x159,x160,x161,x162,x163,x164,x165,x166,x167,x168
          ,x169,x170,x171,x172,x173,x174,x175,x176,x177,x178,x179,x180,x181
          ,x182,x183,x184,x185,x186,x187,x188,x189,x190,x191,x192,x193,x194
          ,x195,x196,x197,x198,x199,x200,x201,x202,x203,x204,x205,x206,x207
          ,x208,x209,x210,x211,x212,x213,x214,x215,x216,x217,x218,x219,x220
          ,x221,x222,x223,x224,x225,x226,x227,x228,x229,x230,x231,x232,x233
          ,x234,x235,x236,x237,x238,x239,x240,x241,x242,x243,x244,x245,x246
          ,x247,x248,x249,x250,x251,x252,x253,x254,x255,x256,x257,x258,x259
          ,x260,x261,x262,x263,x264,x265,x266,x267,x268,x269,x270,x271,x272
          ,x273,x274,x275,x276,x277,x278,x279,x280,x281,x282,x283,x284,x285
          ,x286,x287,x288,x289,x290,x291,x292,x293,x294,x295,x296,x297,x298
          ,x299,x300,x301,x302,x303,x304,x305,x306,x307,x308,x309,x310,x311
          ,x312,x313,x314,x315,x316,x317,x318,x319,x320,x321,x322,x323,x324
          ,x325,x326,x327,x328,x329,x330,x331,x332,x333,x334,x335,x336,x337
          ,x338,x339,x340,x341,x342,x343,x344,x345,x346,x347,x348,x349,x350
          ,x351,x352,x353,x354,x355,x356,x357,x358,x359,x360,x361,x362,x363
          ,x364,x365,x366,x367,x368,x369,x370,x371,x372,x373,x374,x375,x376
          ,x377,x378,x379,x380,x381,x382,x383,x384,x385,x386,x387,x388,x389
          ,x390,x391,x392,x393,x394,x395,x396,x397,x398,x399,x400,x401,x402
          ,x403,x404,x405,x406,x407,x408,x409,x410,x411,x412,x413,x414,x415
          ,x416,x417,x418,x419,x420,x421,x422,x423,x424,x425,x426,x427,x428
          ,x429,x430,x431,x432,x433,x434,x435,x436,x437,x438,x439,x440,x441
          ,x442,x443,x444,x445,x446,x447,x448,x449,x450,x451,x452,x453,x454
          ,x455,x456,x457,x458,x459,x460,x461,x462,x463,x464,x465,x466,x467
          ,x468,x469,x470,x471,x472,x473,x474,x475,x476,x477,x478,x479,x480
          ,x481,x482,x483,x484,x485,x486,x487,x488,x489,x490,x491,x492,x493
          ,x494,x495,x496,x497,x498,x499,x500,x501,x502,x503,x504,x505,x506
          ,x507,x508,x509,x510,x511,x512,x513,x514,x515,x516,x517,x518,x519
          ,x520,x521,x522,x523,x524,x525,x526,x527,x528,x529,x530,x531,x532
          ,x533,x534,x535,x536,x537,x538,x539,x540,x541,x542,x543,x544,x545
          ,x546,x547,x548,x549,x550,x551,x552,x553,x554,x555,x556,x557,x558
          ,x559,x560,x561,x562,x563,x564,x565,x566,x567,x568,x569,x570,x571
          ,x572,x573,x574,x575,x576,x577,x578,x579,x580,x581,x582,x583,x584
          ,x585,x586,x587,x588,x589,x590,x591,x592,x593,x594,x595,x596,x597
          ,x598,x599,x600,x601,x602,x603,x604,x605,x606,x607,x608,x609,x610
          ,x611,x612,x613,x614,x615,x616,x617,x618,x619,x620,x621,x622,x623
          ,x624,x625,x626,x627,x628,x629,x630,x631,x632,x633,x634,x635,x636
          ,x637,x638,x639,x640,x641,x642,x643,x644,x645,x646,x647,x648,x649
          ,x650,x651,x652,x653,x654,x655,x656,x657,x658,x659,x660,x661,x662
          ,x663,x664,x665,x666,x667,x668,x669,x670,x671,x672,x673,x674,x675
          ,x676,x677,x678,x679,x680,x681,x682,x683,x684,x685,x686,x687,x688
          ,x689,x690,x691,x692,x693,x694,x695,x696,x697,x698,x699,x700,x701
          ,x702,x703,x704,x705,x706,x707,x708,x709,x710,x711,x712,x713,x714
          ,x715,x716,x717,x718,x719,x720,x721,x722,x723,x724,x725,x726,x727
          ,x728,x729,x730,x731,x732,x733,x734,x735,x736,x737,x738,x739,x740
          ,x741,x742,x743,x744,x745,x746,x747,x748,x749,x750,x751,x752,x753
          ,x754,x755,x756,x757,x758,x759,x760,x761,x762,x763,x764,x765,x766
          ,x767,x768,x769,x770,x771,x772,x773,x774,x775,x776,x777,x778,x779
          ,x780,x781,x782,x783,x784,x785,x786,x787,x788,x789,x790,x791,x792
          ,x793,x794,x795,x796,x797,x798,x799,x800,x801,x802,x803,x804,x805
          ,x806,x807,x808,x809,x810,x811,x812,x813,x814,x815,x816,x817,x818
          ,x819,x820,x821,x822,x823,x824,x825,x826,x827,x828,x829,x830,x831
          ,x832,x833,x834,x835,x836,x837,x838,x839,x840,x841,x842,x843,x844
          ,x845,x846,x847,x848,x849,x850,x851,x852,x853,x854,x855,x856,x857
          ,x858,x859,x860,x861,x862,x863,x864,x865,x866,x867,x868,x869,x870
          ,x871,x872,x873,x874,x875,x876,x877,x878,x879,x880,x881,x882,x883
          ,x884,x885,x886,x887,x888,x889,x890,x891,x892,x893,x894,x895,x896
          ,x897,x898,x899,x900,x901,x902,x903,x904,x905,x906,x907,x908,x909
          ,x910,x911,x912,x913,x914,x915,x916,x917,x918,x919,x920,x921,x922
          ,x923,x924,x925,x926,x927,x928,x929,x930,x931,x932,x933,x934,x935
          ,x936,x937,x938,x939,x940,x941,x942,x943,x944,x945,x946,x947,x948
          ,x949,x950,x951,x952,x953,x954,x955,x956,x957,x958,x959,x960,b961
          ,b962,b963,b964,b965,b966,b967,b968,b969,b970,b971,b972,b973,b974
          ,b975,b976,b977,b978,b979,b980,b981,b982,b983,b984,b985,b986,b987
          ,b988,b989,b990,b991,b992,b993,b994,b995,b996,b997,b998,b999,b1000
          ,b1001,b1002,b1003,b1004,b1005,b1006,b1007,b1008,b1009,b1010,b1011
          ,b1012,b1013,b1014,b1015,b1016,b1017,b1018,b1019,b1020,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,objvar,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  x1,x2,x3,x4,x5,x6,x7,x8,x9,x10,x11,x12,x13,x14,x15,x16,x17
          ,x18,x19,x20,x21,x22,x23,x24,x25,x26,x27,x28,x29,x30,x31,x32,x33,x34
          ,x35,x36,x37,x38,x39,x40,x41,x42,x43,x44,x45,x46,x47,x48,x49,x50,x51
          ,x52,x53,x54,x55,x56,x57,x58,x59,x60,x61,x62,x63,x64,x65,x66,x67,x68
          ,x69,x70,x71,x72,x73,x74,x75,x76,x77,x78,x79,x80,x81,x82,x83,x84,x85
          ,x86,x87,x88,x89,x90,x91,x92,x93,x94,x95,x96,x97,x98,x99,x100,x101
          ,x102,x103,x104,x105,x106,x107,x108,x109,x110,x111,x112,x113,x114
          ,x115,x116,x117,x118,x119,x120,x121,x122,x123,x124,x125,x126,x127
          ,x128,x129,x130,x131,x132,x133,x134,x135,x136,x137,x138,x139,x140
          ,x141,x142,x143,x144,x145,x146,x147,x148,x149,x150,x151,x152,x153
          ,x154,x155,x156,x157,x158,x159,x160,x161,x162,x163,x164,x165,x166
          ,x167,x168,x169,x170,x171,x172,x173,x174,x175,x176,x177,x178,x179
          ,x180,x181,x182,x183,x184,x185,x186,x187,x188,x189,x190,x191,x192
          ,x193,x194,x195,x196,x197,x198,x199,x200,x201,x202,x203,x204,x205
          ,x206,x207,x208,x209,x210,x211,x212,x213,x214,x215,x216,x217,x218
          ,x219,x220,x221,x222,x223,x224,x225,x226,x227,x228,x229,x230,x231
          ,x232,x233,x234,x235,x236,x237,x238,x239,x240,x241,x242,x243,x244
          ,x245,x246,x247,x248,x249,x250,x251,x252,x253,x254,x255,x256,x257
          ,x258,x259,x260,x261,x262,x263,x264,x265,x266,x267,x268,x269,x270
          ,x271,x272,x273,x274,x275,x276,x277,x278,x279,x280,x281,x282,x283
          ,x284,x285,x286,x287,x288,x289,x290,x291,x292,x293,x294,x295,x296
          ,x297,x298,x299,x300,x301,x302,x303,x304,x305,x306,x307,x308,x309
          ,x310,x311,x312,x313,x314,x315,x316,x317,x318,x319,x320,x321,x322
          ,x323,x324,x325,x326,x327,x328,x329,x330,x331,x332,x333,x334,x335
          ,x336,x337,x338,x339,x340,x341,x342,x343,x344,x345,x346,x347,x348
          ,x349,x350,x351,x352,x353,x354,x355,x356,x357,x358,x359,x360,x361
          ,x362,x363,x364,x365,x366,x367,x368,x369,x370,x371,x372,x373,x374
          ,x375,x376,x377,x378,x379,x380,x381,x382,x383,x384,x385,x386,x387
          ,x388,x389,x390,x391,x392,x393,x394,x395,x396,x397,x398,x399,x400
          ,x401,x402,x403,x404,x405,x406,x407,x408,x409,x410,x411,x412,x413
          ,x414,x415,x416,x417,x418,x419,x420,x421,x422,x423,x424,x425,x426
          ,x427,x428,x429,x430,x431,x432,x433,x434,x435,x436,x437,x438,x439
          ,x440,x441,x442,x443,x444,x445,x446,x447,x448,x449,x450,x451,x452
          ,x453,x454,x455,x456,x457,x458,x459,x460,x461,x462,x463,x464,x465
          ,x466,x467,x468,x469,x470,x471,x472,x473,x474,x475,x476,x477,x478
          ,x479,x480,x481,x482,x483,x484,x485,x486,x487,x488,x489,x490,x491
          ,x492,x493,x494,x495,x496,x497,x498,x499,x500,x501,x502,x503,x504
          ,x505,x506,x507,x508,x509,x510,x511,x512,x513,x514,x515,x516,x517
          ,x518,x519,x520,x521,x522,x523,x524,x525,x526,x527,x528,x529,x530
          ,x531,x532,x533,x534,x535,x536,x537,x538,x539,x540,x541,x542,x543
          ,x544,x545,x546,x547,x548,x549,x550,x551,x552,x553,x554,x555,x556
          ,x557,x558,x559,x560,x561,x562,x563,x564,x565,x566,x567,x568,x569
          ,x570,x571,x572,x573,x574,x575,x576,x577,x578,x579,x580,x581,x582
          ,x583,x584,x585,x586,x587,x588,x589,x590,x591,x592,x593,x594,x595
          ,x596,x597,x598,x599,x600,x601,x602,x603,x604,x605,x606,x607,x608
          ,x609,x610,x611,x612,x613,x614,x615,x616,x617,x618,x619,x620,x621
          ,x622,x623,x624,x625,x626,x627,x628,x629,x630,x631,x632,x633,x634
          ,x635,x636,x637,x638,x639,x640,x641,x642,x643,x644,x645,x646,x647
          ,x648,x649,x650,x651,x652,x653,x654,x655,x656,x657,x658,x659,x660
          ,x661,x662,x663,x664,x665,x666,x667,x668,x669,x670,x671,x672,x673
          ,x674,x675,x676,x677,x678,x679,x680,x681,x682,x683,x684,x685,x686
          ,x687,x688,x689,x690,x691,x692,x693,x694,x695,x696,x697,x698,x699
          ,x700,x701,x702,x703,x704,x705,x706,x707,x708,x709,x710,x711,x712
          ,x713,x714,x715,x716,x717,x718,x719,x720,x721,x722,x723,x724,x725
          ,x726,x727,x728,x729,x730,x731,x732,x733,x734,x735,x736,x737,x738
          ,x739,x740,x741,x742,x743,x744,x745,x746,x747,x748,x749,x750,x751
          ,x752,x753,x754,x755,x756,x757,x758,x759,x760,x761,x762,x763,x764
          ,x765,x766,x767,x768,x769,x770,x771,x772,x773,x774,x775,x776,x777
          ,x778,x779,x780,x781,x782,x783,x784,x785,x786,x787,x788,x789,x790
          ,x791,x792,x793,x794,x795,x796,x797,x798,x799,x800,x801,x802,x803
          ,x804,x805,x806,x807,x808,x809,x810,x811,x812,x813,x814,x815,x816
          ,x817,x818,x819,x820,x821,x822,x823,x824,x825,x826,x827,x828,x829
          ,x830,x831,x832,x833,x834,x835,x836,x837,x838,x839,x840,x841,x842
          ,x843,x844,x845,x846,x847,x848,x849,x850,x851,x852,x853,x854,x855
          ,x856,x857,x858,x859,x860,x861,x862,x863,x864,x865,x866,x867,x868
          ,x869,x870,x871,x872,x873,x874,x875,x876,x877,x878,x879,x880,x881
          ,x882,x883,x884,x885,x886,x887,x888,x889,x890,x891,x892,x893,x894
          ,x895,x896,x897,x898,x899,x900,x901,x902,x903,x904,x905,x906,x907
          ,x908,x909,x910,x911,x912,x913,x914,x915,x916,x917,x918,x919,x920
          ,x921,x922,x923,x924,x925,x926,x927,x928,x929,x930,x931,x932,x933
          ,x934,x935,x936,x937,x938,x939,x940,x941,x942,x943,x944,x945,x946
          ,x947,x948,x949,x950,x951,x952,x953,x954,x955,x956,x957,x958,x959
          ,x960,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,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  b961,b962,b963,b964,b965,b966,b967,b968,b969,b970,b971,b972
          ,b973,b974,b975,b976,b977,b978,b979,b980,b981,b982,b983,b984,b985
          ,b986,b987,b988,b989,b990,b991,b992,b993,b994,b995,b996,b997,b998
          ,b999,b1000,b1001,b1002,b1003,b1004,b1005,b1006,b1007,b1008,b1009
          ,b1010,b1011,b1012,b1013,b1014,b1015,b1016,b1017,b1018,b1019,b1020;

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..  - 1.152432865*b961 - 3.011993167*b962 - 2.960375281*b963
      - 1.736309608*b964 - 1.152432865*b965 - 2.363195782*b966
      - 2.05937716*b967 - 3.985025335*b968 - 3.789003172*b969
      - 2.363195782*b970 - 3.921012982*b971 - 3.156380512*b972
      - 2.415793864*b973 - 3.011993167*b974 - 2.05937716*b975
      - 1.163363584*b976 - 2.330956801*b977 - 1.29144937*b978
      - 3.761674897*b979 - 2.960375281*b980 - 2.330956801*b981
      - 1.396790695*b982 - 3.628673512*b983 - 1.993672117*b984
      - 3.921012982*b985 - 2.05780087*b986 - 2.23064791*b987 - 3.156380512*b988
      - 1.396790695*b989 - 3.35525266*b990 - 1.976382727*b991 - 1.29144937*b992
      - 1.840522939*b993 - 3.337820236*b994 - 3.628673512*b995
      - 1.155800743*b996 - 1.736309608*b997 - 1.840522939*b998
      - 1.155800743*b999 - 3.496770256*b1000 - 2.415793864*b1001
      - 2.05780087*b1002 - 2.059284631*b1003 - 3.35525266*b1004
      - 2.059284631*b1005 - 2.534210494*b1006 - 3.985025335*b1007
      - 1.163363584*b1008 - 2.23064791*b1009 - 3.496770256*b1010
      - 1.025018077*b1011 - 3.789003172*b1012 - 1.993672117*b1013
      - 3.337820236*b1014 - 2.534210494*b1015 - 1.025018077*b1016
      - 1.757500525*b1017 - 3.761674897*b1018 - 1.976382727*b1019
      - 1.757500525*b1020 + objvar =E= 0;

e2..  - x1 - x17 - x33 - x49 + x65 + x209 + x305 + x577 =E= -222;

e3..  - x2 - x18 - x34 - x50 + x66 + x210 + x306 + x578 =E= 25;

e4..  - x3 - x19 - x35 - x51 + x67 + x211 + x307 + x579 =E= 12;

e5..  - x4 - x20 - x36 - x52 + x68 + x212 + x308 + x580 =E= 21;

e6..  - x5 - x21 - x37 - x53 + x69 + x213 + x309 + x581 =E= 25;

e7..  - x6 - x22 - x38 - x54 + x70 + x214 + x310 + x582 =E= 13;

e8..  - x7 - x23 - x39 - x55 + x71 + x215 + x311 + x583 =E= 17;

e9..  - x8 - x24 - x40 - x56 + x72 + x216 + x312 + x584 =E= 11;

e10..  - x9 - x25 - x41 - x57 + x73 + x217 + x313 + x585 =E= 22;

e11..  - x10 - x26 - x42 - x58 + x74 + x218 + x314 + x586 =E= 15;

e12..  - x11 - x27 - x43 - x59 + x75 + x219 + x315 + x587 =E= 16;

e13..  - x12 - x28 - x44 - x60 + x76 + x220 + x316 + x588 =E= 8;

e14..  - x13 - x29 - x45 - x61 + x77 + x221 + x317 + x589 =E= 13;

e15..  - x14 - x30 - x46 - x62 + x78 + x222 + x318 + x590 =E= 21;

e16..  - x15 - x31 - x47 - x63 + x79 + x223 + x319 + x591 =E= 22;

e17..  - x16 - x32 - x48 - x64 + x80 + x224 + x320 + x592 =E= 16;

e18..    x1 - x65 - x81 - x97 - x113 - x129 + x145 + x225 + x737 + x817 =E= 19;

e19..    x2 - x66 - x82 - x98 - x114 - x130 + x146 + x226 + x738 + x818
       =E= -215;

e20..    x3 - x67 - x83 - x99 - x115 - x131 + x147 + x227 + x739 + x819 =E= 15;

e21..    x4 - x68 - x84 - x100 - x116 - x132 + x148 + x228 + x740 + x820 =E= 16
      ;

e22..    x5 - x69 - x85 - x101 - x117 - x133 + x149 + x229 + x741 + x821 =E= 14
      ;

e23..    x6 - x70 - x86 - x102 - x118 - x134 + x150 + x230 + x742 + x822 =E= 17
      ;

e24..    x7 - x71 - x87 - x103 - x119 - x135 + x151 + x231 + x743 + x823 =E= 14
      ;

e25..    x8 - x72 - x88 - x104 - x120 - x136 + x152 + x232 + x744 + x824 =E= 5;

e26..    x9 - x73 - x89 - x105 - x121 - x137 + x153 + x233 + x745 + x825 =E= 10
      ;

e27..    x10 - x74 - x90 - x106 - x122 - x138 + x154 + x234 + x746 + x826 =E= 5
      ;

e28..    x11 - x75 - x91 - x107 - x123 - x139 + x155 + x235 + x747 + x827
       =E= 11;

e29..    x12 - x76 - x92 - x108 - x124 - x140 + x156 + x236 + x748 + x828
       =E= 13;

e30..    x13 - x77 - x93 - x109 - x125 - x141 + x157 + x237 + x749 + x829
       =E= 19;

e31..    x14 - x78 - x94 - x110 - x126 - x142 + x158 + x238 + x750 + x830 =E= 9
      ;

e32..    x15 - x79 - x95 - x111 - x127 - x143 + x159 + x239 + x751 + x831 =E= 8
      ;

e33..    x16 - x80 - x96 - x112 - x128 - x144 + x160 + x240 + x752 + x832
       =E= 10;

e34..    x81 - x145 - x161 - x177 - x193 + x385 + x433 + x641 =E= 9;

e35..    x82 - x146 - x162 - x178 - x194 + x386 + x434 + x642 =E= 8;

e36..    x83 - x147 - x163 - x179 - x195 + x387 + x435 + x643 =E= -227;

e37..    x84 - x148 - x164 - x180 - x196 + x388 + x436 + x644 =E= 16;

e38..    x85 - x149 - x165 - x181 - x197 + x389 + x437 + x645 =E= 23;

e39..    x86 - x150 - x166 - x182 - x198 + x390 + x438 + x646 =E= 6;

e40..    x87 - x151 - x167 - x183 - x199 + x391 + x439 + x647 =E= 11;

e41..    x88 - x152 - x168 - x184 - x200 + x392 + x440 + x648 =E= 11;

e42..    x89 - x153 - x169 - x185 - x201 + x393 + x441 + x649 =E= 11;

e43..    x90 - x154 - x170 - x186 - x202 + x394 + x442 + x650 =E= 21;

e44..    x91 - x155 - x171 - x187 - x203 + x395 + x443 + x651 =E= 11;

e45..    x92 - x156 - x172 - x188 - x204 + x396 + x444 + x652 =E= 9;

e46..    x93 - x157 - x173 - x189 - x205 + x397 + x445 + x653 =E= 15;

e47..    x94 - x158 - x174 - x190 - x206 + x398 + x446 + x654 =E= 13;

e48..    x95 - x159 - x175 - x191 - x207 + x399 + x447 + x655 =E= 9;

e49..    x96 - x160 - x176 - x192 - x208 + x400 + x448 + x656 =E= 13;

e50..    x17 + x97 - x209 - x225 - x241 + x753 =E= 19;

e51..    x18 + x98 - x210 - x226 - x242 + x754 =E= 13;

e52..    x19 + x99 - x211 - x227 - x243 + x755 =E= 14;

e53..    x20 + x100 - x212 - x228 - x244 + x756 =E= -256;

e54..    x21 + x101 - x213 - x229 - x245 + x757 =E= 12;

e55..    x22 + x102 - x214 - x230 - x246 + x758 =E= 18;

e56..    x23 + x103 - x215 - x231 - x247 + x759 =E= 12;

e57..    x24 + x104 - x216 - x232 - x248 + x760 =E= 12;

e58..    x25 + x105 - x217 - x233 - x249 + x761 =E= 20;

e59..    x26 + x106 - x218 - x234 - x250 + x762 =E= 9;

e60..    x27 + x107 - x219 - x235 - x251 + x763 =E= 22;

e61..    x28 + x108 - x220 - x236 - x252 + x764 =E= 6;

e62..    x29 + x109 - x221 - x237 - x253 + x765 =E= 24;

e63..    x30 + x110 - x222 - x238 - x254 + x766 =E= 16;

e64..    x31 + x111 - x223 - x239 - x255 + x767 =E= 20;

e65..    x32 + x112 - x224 - x240 - x256 + x768 =E= 18;

e66..  - x257 - x273 - x289 + x321 + x497 + x913 =E= 18;

e67..  - x258 - x274 - x290 + x322 + x498 + x914 =E= 5;

e68..  - x259 - x275 - x291 + x323 + x499 + x915 =E= 17;

e69..  - x260 - x276 - x292 + x324 + x500 + x916 =E= 24;

e70..  - x261 - x277 - x293 + x325 + x501 + x917 =E= -259;

e71..  - x262 - x278 - x294 + x326 + x502 + x918 =E= 21;

e72..  - x263 - x279 - x295 + x327 + x503 + x919 =E= 7;

e73..  - x264 - x280 - x296 + x328 + x504 + x920 =E= 23;

e74..  - x265 - x281 - x297 + x329 + x505 + x921 =E= 10;

e75..  - x266 - x282 - x298 + x330 + x506 + x922 =E= 12;

e76..  - x267 - x283 - x299 + x331 + x507 + x923 =E= 20;

e77..  - x268 - x284 - x300 + x332 + x508 + x924 =E= 19;

e78..  - x269 - x285 - x301 + x333 + x509 + x925 =E= 13;

e79..  - x270 - x286 - x302 + x334 + x510 + x926 =E= 7;

e80..  - x271 - x287 - x303 + x335 + x511 + x927 =E= 19;

e81..  - x272 - x288 - x304 + x336 + x512 + x928 =E= 12;

e82..    x33 + x257 - x305 - x321 - x337 - x353 - x369 + x449 + x545 + x833
       =E= 10;

e83..    x34 + x258 - x306 - x322 - x338 - x354 - x370 + x450 + x546 + x834
       =E= 8;

e84..    x35 + x259 - x307 - x323 - x339 - x355 - x371 + x451 + x547 + x835
       =E= 23;

e85..    x36 + x260 - x308 - x324 - x340 - x356 - x372 + x452 + x548 + x836
       =E= 24;

e86..    x37 + x261 - x309 - x325 - x341 - x357 - x373 + x453 + x549 + x837
       =E= 14;

e87..    x38 + x262 - x310 - x326 - x342 - x358 - x374 + x454 + x550 + x838
       =E= -242;

e88..    x39 + x263 - x311 - x327 - x343 - x359 - x375 + x455 + x551 + x839
       =E= 16;

e89..    x40 + x264 - x312 - x328 - x344 - x360 - x376 + x456 + x552 + x840
       =E= 9;

e90..    x41 + x265 - x313 - x329 - x345 - x361 - x377 + x457 + x553 + x841
       =E= 22;

e91..    x42 + x266 - x314 - x330 - x346 - x362 - x378 + x458 + x554 + x842
       =E= 16;

e92..    x43 + x267 - x315 - x331 - x347 - x363 - x379 + x459 + x555 + x843
       =E= 16;

e93..    x44 + x268 - x316 - x332 - x348 - x364 - x380 + x460 + x556 + x844
       =E= 14;

e94..    x45 + x269 - x317 - x333 - x349 - x365 - x381 + x461 + x557 + x845
       =E= 14;

e95..    x46 + x270 - x318 - x334 - x350 - x366 - x382 + x462 + x558 + x846
       =E= 6;

e96..    x47 + x271 - x319 - x335 - x351 - x367 - x383 + x463 + x559 + x847
       =E= 14;

e97..    x48 + x272 - x320 - x336 - x352 - x368 - x384 + x464 + x560 + x848
       =E= 21;

e98..    x161 - x385 - x401 - x417 + x657 + x769 =E= 10;

e99..    x162 - x386 - x402 - x418 + x658 + x770 =E= 8;

e100..    x163 - x387 - x403 - x419 + x659 + x771 =E= 21;

e101..    x164 - x388 - x404 - x420 + x660 + x772 =E= 19;

e102..    x165 - x389 - x405 - x421 + x661 + x773 =E= 23;

e103..    x166 - x390 - x406 - x422 + x662 + x774 =E= 23;

e104..    x167 - x391 - x407 - x423 + x663 + x775 =E= -182;

e105..    x168 - x392 - x408 - x424 + x664 + x776 =E= 19;

e106..    x169 - x393 - x409 - x425 + x665 + x777 =E= 16;

e107..    x170 - x394 - x410 - x426 + x666 + x778 =E= 16;

e108..    x171 - x395 - x411 - x427 + x667 + x779 =E= 12;

e109..    x172 - x396 - x412 - x428 + x668 + x780 =E= 11;

e110..    x173 - x397 - x413 - x429 + x669 + x781 =E= 20;

e111..    x174 - x398 - x414 - x430 + x670 + x782 =E= 6;

e112..    x175 - x399 - x415 - x431 + x671 + x783 =E= 19;

e113..    x176 - x400 - x416 - x432 + x672 + x784 =E= 22;

e114..    x177 + x337 - x433 - x449 - x465 - x481 + x689 + x929 =E= 15;

e115..    x178 + x338 - x434 - x450 - x466 - x482 + x690 + x930 =E= 19;

e116..    x179 + x339 - x435 - x451 - x467 - x483 + x691 + x931 =E= 15;

e117..    x180 + x340 - x436 - x452 - x468 - x484 + x692 + x932 =E= 9;

e118..    x181 + x341 - x437 - x453 - x469 - x485 + x693 + x933 =E= 22;

e119..    x182 + x342 - x438 - x454 - x470 - x486 + x694 + x934 =E= 16;

e120..    x183 + x343 - x439 - x455 - x471 - x487 + x695 + x935 =E= 9;

e121..    x184 + x344 - x440 - x456 - x472 - x488 + x696 + x936 =E= -215;

e122..    x185 + x345 - x441 - x457 - x473 - x489 + x697 + x937 =E= 12;

e123..    x186 + x346 - x442 - x458 - x474 - x490 + x698 + x938 =E= 7;

e124..    x187 + x347 - x443 - x459 - x475 - x491 + x699 + x939 =E= 14;

e125..    x188 + x348 - x444 - x460 - x476 - x492 + x700 + x940 =E= 14;

e126..    x189 + x349 - x445 - x461 - x477 - x493 + x701 + x941 =E= 14;

e127..    x190 + x350 - x446 - x462 - x478 - x494 + x702 + x942 =E= 11;

e128..    x191 + x351 - x447 - x463 - x479 - x495 + x703 + x943 =E= 20;

e129..    x192 + x352 - x448 - x464 - x480 - x496 + x704 + x944 =E= 25;

e130..    x273 - x497 - x513 - x529 + x593 + x849 =E= 22;

e131..    x274 - x498 - x514 - x530 + x594 + x850 =E= 22;

e132..    x275 - x499 - x515 - x531 + x595 + x851 =E= 13;

e133..    x276 - x500 - x516 - x532 + x596 + x852 =E= 6;

e134..    x277 - x501 - x517 - x533 + x597 + x853 =E= 23;

e135..    x278 - x502 - x518 - x534 + x598 + x854 =E= 11;

e136..    x279 - x503 - x519 - x535 + x599 + x855 =E= 18;

e137..    x280 - x504 - x520 - x536 + x600 + x856 =E= 23;

e138..    x281 - x505 - x521 - x537 + x601 + x857 =E= -216;

e139..    x282 - x506 - x522 - x538 + x602 + x858 =E= 9;

e140..    x283 - x507 - x523 - x539 + x603 + x859 =E= 17;

e141..    x284 - x508 - x524 - x540 + x604 + x860 =E= 20;

e142..    x285 - x509 - x525 - x541 + x605 + x861 =E= 19;

e143..    x286 - x510 - x526 - x542 + x606 + x862 =E= 9;

e144..    x287 - x511 - x527 - x543 + x607 + x863 =E= 14;

e145..    x288 - x512 - x528 - x544 + x608 + x864 =E= 18;

e146..    x353 - x545 - x561 + x609 =E= 18;

e147..    x354 - x546 - x562 + x610 =E= 15;

e148..    x355 - x547 - x563 + x611 =E= 15;

e149..    x356 - x548 - x564 + x612 =E= 23;

e150..    x357 - x549 - x565 + x613 =E= 11;

e151..    x358 - x550 - x566 + x614 =E= 21;

e152..    x359 - x551 - x567 + x615 =E= 8;

e153..    x360 - x552 - x568 + x616 =E= 10;

e154..    x361 - x553 - x569 + x617 =E= 16;

e155..    x362 - x554 - x570 + x618 =E= -180;

e156..    x363 - x555 - x571 + x619 =E= 12;

e157..    x364 - x556 - x572 + x620 =E= 9;

e158..    x365 - x557 - x573 + x621 =E= 8;

e159..    x366 - x558 - x574 + x622 =E= 5;

e160..    x367 - x559 - x575 + x623 =E= 16;

e161..    x368 - x560 - x576 + x624 =E= 8;

e162..    x49 + x513 + x561 - x577 - x593 - x609 - x625 + x785 =E= 8;

e163..    x50 + x514 + x562 - x578 - x594 - x610 - x626 + x786 =E= 22;

e164..    x51 + x515 + x563 - x579 - x595 - x611 - x627 + x787 =E= 8;

e165..    x52 + x516 + x564 - x580 - x596 - x612 - x628 + x788 =E= 20;

e166..    x53 + x517 + x565 - x581 - x597 - x613 - x629 + x789 =E= 14;

e167..    x54 + x518 + x566 - x582 - x598 - x614 - x630 + x790 =E= 20;

e168..    x55 + x519 + x567 - x583 - x599 - x615 - x631 + x791 =E= 15;

e169..    x56 + x520 + x568 - x584 - x600 - x616 - x632 + x792 =E= 13;

e170..    x57 + x521 + x569 - x585 - x601 - x617 - x633 + x793 =E= 22;

e171..    x58 + x522 + x570 - x586 - x602 - x618 - x634 + x794 =E= 9;

e172..    x59 + x523 + x571 - x587 - x603 - x619 - x635 + x795 =E= -203;

e173..    x60 + x524 + x572 - x588 - x604 - x620 - x636 + x796 =E= 9;

e174..    x61 + x525 + x573 - x589 - x605 - x621 - x637 + x797 =E= 7;

e175..    x62 + x526 + x574 - x590 - x606 - x622 - x638 + x798 =E= 17;

e176..    x63 + x527 + x575 - x591 - x607 - x623 - x639 + x799 =E= 23;

e177..    x64 + x528 + x576 - x592 - x608 - x624 - x640 + x800 =E= 13;

e178..    x193 + x401 - x641 - x657 - x673 + x705 =E= 7;

e179..    x194 + x402 - x642 - x658 - x674 + x706 =E= 8;

e180..    x195 + x403 - x643 - x659 - x675 + x707 =E= 12;

e181..    x196 + x404 - x644 - x660 - x676 + x708 =E= 19;

e182..    x197 + x405 - x645 - x661 - x677 + x709 =E= 20;

e183..    x198 + x406 - x646 - x662 - x678 + x710 =E= 18;

e184..    x199 + x407 - x647 - x663 - x679 + x711 =E= 7;

e185..    x200 + x408 - x648 - x664 - x680 + x712 =E= 13;

e186..    x201 + x409 - x649 - x665 - x681 + x713 =E= 13;

e187..    x202 + x410 - x650 - x666 - x682 + x714 =E= 15;

e188..    x203 + x411 - x651 - x667 - x683 + x715 =E= 8;

e189..    x204 + x412 - x652 - x668 - x684 + x716 =E= -214;

e190..    x205 + x413 - x653 - x669 - x685 + x717 =E= 18;

e191..    x206 + x414 - x654 - x670 - x686 + x718 =E= 25;

e192..    x207 + x415 - x655 - x671 - x687 + x719 =E= 12;

e193..    x208 + x416 - x656 - x672 - x688 + x720 =E= 8;

e194..    x465 + x673 - x689 - x705 - x721 + x865 =E= 22;

e195..    x466 + x674 - x690 - x706 - x722 + x866 =E= 11;

e196..    x467 + x675 - x691 - x707 - x723 + x867 =E= 25;

e197..    x468 + x676 - x692 - x708 - x724 + x868 =E= 17;

e198..    x469 + x677 - x693 - x709 - x725 + x869 =E= 14;

e199..    x470 + x678 - x694 - x710 - x726 + x870 =E= 17;

e200..    x471 + x679 - x695 - x711 - x727 + x871 =E= 7;

e201..    x472 + x680 - x696 - x712 - x728 + x872 =E= 25;

e202..    x473 + x681 - x697 - x713 - x729 + x873 =E= 5;

e203..    x474 + x682 - x698 - x714 - x730 + x874 =E= 11;

e204..    x475 + x683 - x699 - x715 - x731 + x875 =E= 7;

e205..    x476 + x684 - x700 - x716 - x732 + x876 =E= 20;

e206..    x477 + x685 - x701 - x717 - x733 + x877 =E= -217;

e207..    x478 + x686 - x702 - x718 - x734 + x878 =E= 7;

e208..    x479 + x687 - x703 - x719 - x735 + x879 =E= 23;

e209..    x480 + x688 - x704 - x720 - x736 + x880 =E= 13;

e210..    x113 + x241 + x417 + x625 - x737 - x753 - x769 - x785 - x801 + x881
        =E= 14;

e211..    x114 + x242 + x418 + x626 - x738 - x754 - x770 - x786 - x802 + x882
        =E= 23;

e212..    x115 + x243 + x419 + x627 - x739 - x755 - x771 - x787 - x803 + x883
        =E= 9;

e213..    x116 + x244 + x420 + x628 - x740 - x756 - x772 - x788 - x804 + x884
        =E= 13;

e214..    x117 + x245 + x421 + x629 - x741 - x757 - x773 - x789 - x805 + x885
        =E= 16;

e215..    x118 + x246 + x422 + x630 - x742 - x758 - x774 - x790 - x806 + x886
        =E= 24;

e216..    x119 + x247 + x423 + x631 - x743 - x759 - x775 - x791 - x807 + x887
        =E= 7;

e217..    x120 + x248 + x424 + x632 - x744 - x760 - x776 - x792 - x808 + x888
        =E= 6;

e218..    x121 + x249 + x425 + x633 - x745 - x761 - x777 - x793 - x809 + x889
        =E= 22;

e219..    x122 + x250 + x426 + x634 - x746 - x762 - x778 - x794 - x810 + x890
        =E= 10;

e220..    x123 + x251 + x427 + x635 - x747 - x763 - x779 - x795 - x811 + x891
        =E= 23;

e221..    x124 + x252 + x428 + x636 - x748 - x764 - x780 - x796 - x812 + x892
        =E= 22;

e222..    x125 + x253 + x429 + x637 - x749 - x765 - x781 - x797 - x813 + x893
        =E= 12;

e223..    x126 + x254 + x430 + x638 - x750 - x766 - x782 - x798 - x814 + x894
        =E= -189;

e224..    x127 + x255 + x431 + x639 - x751 - x767 - x783 - x799 - x815 + x895
        =E= 13;

e225..    x128 + x256 + x432 + x640 - x752 - x768 - x784 - x800 - x816 + x896
        =E= 22;

e226..    x129 + x369 + x529 + x721 + x801 - x817 - x833 - x849 - x865 - x881
        - x897 + x945 =E= 6;

e227..    x130 + x370 + x530 + x722 + x802 - x818 - x834 - x850 - x866 - x882
        - x898 + x946 =E= 5;

e228..    x131 + x371 + x531 + x723 + x803 - x819 - x835 - x851 - x867 - x883
        - x899 + x947 =E= 6;

e229..    x132 + x372 + x532 + x724 + x804 - x820 - x836 - x852 - x868 - x884
        - x900 + x948 =E= 12;

e230..    x133 + x373 + x533 + x725 + x805 - x821 - x837 - x853 - x869 - x885
        - x901 + x949 =E= 15;

e231..    x134 + x374 + x534 + x726 + x806 - x822 - x838 - x854 - x870 - x886
        - x902 + x950 =E= 8;

e232..    x135 + x375 + x535 + x727 + x807 - x823 - x839 - x855 - x871 - x887
        - x903 + x951 =E= 10;

e233..    x136 + x376 + x536 + x728 + x808 - x824 - x840 - x856 - x872 - x888
        - x904 + x952 =E= 10;

e234..    x137 + x377 + x537 + x729 + x809 - x825 - x841 - x857 - x873 - x889
        - x905 + x953 =E= 7;

e235..    x138 + x378 + x538 + x730 + x810 - x826 - x842 - x858 - x874 - x890
        - x906 + x954 =E= 15;

e236..    x139 + x379 + x539 + x731 + x811 - x827 - x843 - x859 - x875 - x891
        - x907 + x955 =E= 5;

e237..    x140 + x380 + x540 + x732 + x812 - x828 - x844 - x860 - x876 - x892
        - x908 + x956 =E= 20;

e238..    x141 + x381 + x541 + x733 + x813 - x829 - x845 - x861 - x877 - x893
        - x909 + x957 =E= 14;

e239..    x142 + x382 + x542 + x734 + x814 - x830 - x846 - x862 - x878 - x894
        - x910 + x958 =E= 17;

e240..    x143 + x383 + x543 + x735 + x815 - x831 - x847 - x863 - x879 - x895
        - x911 + x959 =E= -240;

e241..    x144 + x384 + x544 + x736 + x816 - x832 - x848 - x864 - x880 - x896
        - x912 + x960 =E= 7;

e242..    x289 + x481 + x897 - x913 - x929 - x945 =E= 25;

e243..    x290 + x482 + x898 - x914 - x930 - x946 =E= 23;

e244..    x291 + x483 + x899 - x915 - x931 - x947 =E= 22;

e245..    x292 + x484 + x900 - x916 - x932 - x948 =E= 17;

e246..    x293 + x485 + x901 - x917 - x933 - x949 =E= 13;

e247..    x294 + x486 + x902 - x918 - x934 - x950 =E= 9;

e248..    x295 + x487 + x903 - x919 - x935 - x951 =E= 24;

e249..    x296 + x488 + x904 - x920 - x936 - x952 =E= 25;

e250..    x297 + x489 + x905 - x921 - x937 - x953 =E= 8;

e251..    x298 + x490 + x906 - x922 - x938 - x954 =E= 10;

e252..    x299 + x491 + x907 - x923 - x939 - x955 =E= 9;

e253..    x300 + x492 + x908 - x924 - x940 - x956 =E= 20;

e254..    x301 + x493 + x909 - x925 - x941 - x957 =E= 7;

e255..    x302 + x494 + x910 - x926 - x942 - x958 =E= 20;

e256..    x303 + x495 + x911 - x927 - x943 - x959 =E= 8;

e257..    x304 + x496 + x912 - x928 - x944 - x960 =E= -226;

e258..  - x1 - x2 - x3 - x4 - x5 - x6 - x7 - x8 - x9 - x10 - x11 - x12 - x13
        - x14 - x15 - x16 + x1082 =G= 0;

e259..  - x17 - x18 - x19 - x20 - x21 - x22 - x23 - x24 - x25 - x26 - x27 - x28
        - x29 - x30 - x31 - x32 + x1083 =G= 0;

e260..  - x33 - x34 - x35 - x36 - x37 - x38 - x39 - x40 - x41 - x42 - x43 - x44
        - x45 - x46 - x47 - x48 + x1084 =G= 0;

e261..  - x49 - x50 - x51 - x52 - x53 - x54 - x55 - x56 - x57 - x58 - x59 - x60
        - x61 - x62 - x63 - x64 + x1085 =G= 0;

e262..  - x65 - x66 - x67 - x68 - x69 - x70 - x71 - x72 - x73 - x74 - x75 - x76
        - x77 - x78 - x79 - x80 + x1086 =G= 0;

e263..  - x81 - x82 - x83 - x84 - x85 - x86 - x87 - x88 - x89 - x90 - x91 - x92
        - x93 - x94 - x95 - x96 + x1087 =G= 0;

e264..  - x97 - x98 - x99 - x100 - x101 - x102 - x103 - x104 - x105 - x106
        - x107 - x108 - x109 - x110 - x111 - x112 + x1088 =G= 0;

e265..  - x113 - x114 - x115 - x116 - x117 - x118 - x119 - x120 - x121 - x122
        - x123 - x124 - x125 - x126 - x127 - x128 + x1089 =G= 0;

e266..  - x129 - x130 - x131 - x132 - x133 - x134 - x135 - x136 - x137 - x138
        - x139 - x140 - x141 - x142 - x143 - x144 + x1090 =G= 0;

e267..  - x145 - x146 - x147 - x148 - x149 - x150 - x151 - x152 - x153 - x154
        - x155 - x156 - x157 - x158 - x159 - x160 + x1091 =G= 0;

e268..  - x161 - x162 - x163 - x164 - x165 - x166 - x167 - x168 - x169 - x170
        - x171 - x172 - x173 - x174 - x175 - x176 + x1092 =G= 0;

e269..  - x177 - x178 - x179 - x180 - x181 - x182 - x183 - x184 - x185 - x186
        - x187 - x188 - x189 - x190 - x191 - x192 + x1093 =G= 0;

e270..  - x193 - x194 - x195 - x196 - x197 - x198 - x199 - x200 - x201 - x202
        - x203 - x204 - x205 - x206 - x207 - x208 + x1094 =G= 0;

e271..  - x209 - x210 - x211 - x212 - x213 - x214 - x215 - x216 - x217 - x218
        - x219 - x220 - x221 - x222 - x223 - x224 + x1095 =G= 0;

e272..  - x225 - x226 - x227 - x228 - x229 - x230 - x231 - x232 - x233 - x234
        - x235 - x236 - x237 - x238 - x239 - x240 + x1096 =G= 0;

e273..  - x241 - x242 - x243 - x244 - x245 - x246 - x247 - x248 - x249 - x250
        - x251 - x252 - x253 - x254 - x255 - x256 + x1097 =G= 0;

e274..  - x257 - x258 - x259 - x260 - x261 - x262 - x263 - x264 - x265 - x266
        - x267 - x268 - x269 - x270 - x271 - x272 + x1098 =G= 0;

e275..  - x273 - x274 - x275 - x276 - x277 - x278 - x279 - x280 - x281 - x282
        - x283 - x284 - x285 - x286 - x287 - x288 + x1099 =G= 0;

e276..  - x289 - x290 - x291 - x292 - x293 - x294 - x295 - x296 - x297 - x298
        - x299 - x300 - x301 - x302 - x303 - x304 + x1100 =G= 0;

e277..  - x305 - x306 - x307 - x308 - x309 - x310 - x311 - x312 - x313 - x314
        - x315 - x316 - x317 - x318 - x319 - x320 + x1101 =G= 0;

e278..  - x321 - x322 - x323 - x324 - x325 - x326 - x327 - x328 - x329 - x330
        - x331 - x332 - x333 - x334 - x335 - x336 + x1102 =G= 0;

e279..  - x337 - x338 - x339 - x340 - x341 - x342 - x343 - x344 - x345 - x346
        - x347 - x348 - x349 - x350 - x351 - x352 + x1103 =G= 0;

e280..  - x353 - x354 - x355 - x356 - x357 - x358 - x359 - x360 - x361 - x362
        - x363 - x364 - x365 - x366 - x367 - x368 + x1104 =G= 0;

e281..  - x369 - x370 - x371 - x372 - x373 - x374 - x375 - x376 - x377 - x378
        - x379 - x380 - x381 - x382 - x383 - x384 + x1105 =G= 0;

e282..  - x385 - x386 - x387 - x388 - x389 - x390 - x391 - x392 - x393 - x394
        - x395 - x396 - x397 - x398 - x399 - x400 + x1106 =G= 0;

e283..  - x401 - x402 - x403 - x404 - x405 - x406 - x407 - x408 - x409 - x410
        - x411 - x412 - x413 - x414 - x415 - x416 + x1107 =G= 0;

e284..  - x417 - x418 - x419 - x420 - x421 - x422 - x423 - x424 - x425 - x426
        - x427 - x428 - x429 - x430 - x431 - x432 + x1108 =G= 0;

e285..  - x433 - x434 - x435 - x436 - x437 - x438 - x439 - x440 - x441 - x442
        - x443 - x444 - x445 - x446 - x447 - x448 + x1109 =G= 0;

e286..  - x449 - x450 - x451 - x452 - x453 - x454 - x455 - x456 - x457 - x458
        - x459 - x460 - x461 - x462 - x463 - x464 + x1110 =G= 0;

e287..  - x465 - x466 - x467 - x468 - x469 - x470 - x471 - x472 - x473 - x474
        - x475 - x476 - x477 - x478 - x479 - x480 + x1111 =G= 0;

e288..  - x481 - x482 - x483 - x484 - x485 - x486 - x487 - x488 - x489 - x490
        - x491 - x492 - x493 - x494 - x495 - x496 + x1112 =G= 0;

e289..  - x497 - x498 - x499 - x500 - x501 - x502 - x503 - x504 - x505 - x506
        - x507 - x508 - x509 - x510 - x511 - x512 + x1113 =G= 0;

e290..  - x513 - x514 - x515 - x516 - x517 - x518 - x519 - x520 - x521 - x522
        - x523 - x524 - x525 - x526 - x527 - x528 + x1114 =G= 0;

e291..  - x529 - x530 - x531 - x532 - x533 - x534 - x535 - x536 - x537 - x538
        - x539 - x540 - x541 - x542 - x543 - x544 + x1115 =G= 0;

e292..  - x545 - x546 - x547 - x548 - x549 - x550 - x551 - x552 - x553 - x554
        - x555 - x556 - x557 - x558 - x559 - x560 + x1116 =G= 0;

e293..  - x561 - x562 - x563 - x564 - x565 - x566 - x567 - x568 - x569 - x570
        - x571 - x572 - x573 - x574 - x575 - x576 + x1117 =G= 0;

e294..  - x577 - x578 - x579 - x580 - x581 - x582 - x583 - x584 - x585 - x586
        - x587 - x588 - x589 - x590 - x591 - x592 + x1118 =G= 0;

e295..  - x593 - x594 - x595 - x596 - x597 - x598 - x599 - x600 - x601 - x602
        - x603 - x604 - x605 - x606 - x607 - x608 + x1119 =G= 0;

e296..  - x609 - x610 - x611 - x612 - x613 - x614 - x615 - x616 - x617 - x618
        - x619 - x620 - x621 - x622 - x623 - x624 + x1120 =G= 0;

e297..  - x625 - x626 - x627 - x628 - x629 - x630 - x631 - x632 - x633 - x634
        - x635 - x636 - x637 - x638 - x639 - x640 + x1121 =G= 0;

e298..  - x641 - x642 - x643 - x644 - x645 - x646 - x647 - x648 - x649 - x650
        - x651 - x652 - x653 - x654 - x655 - x656 + x1122 =G= 0;

e299..  - x657 - x658 - x659 - x660 - x661 - x662 - x663 - x664 - x665 - x666
        - x667 - x668 - x669 - x670 - x671 - x672 + x1123 =G= 0;

e300..  - x673 - x674 - x675 - x676 - x677 - x678 - x679 - x680 - x681 - x682
        - x683 - x684 - x685 - x686 - x687 - x688 + x1124 =G= 0;

e301..  - x689 - x690 - x691 - x692 - x693 - x694 - x695 - x696 - x697 - x698
        - x699 - x700 - x701 - x702 - x703 - x704 + x1125 =G= 0;

e302..  - x705 - x706 - x707 - x708 - x709 - x710 - x711 - x712 - x713 - x714
        - x715 - x716 - x717 - x718 - x719 - x720 + x1126 =G= 0;

e303..  - x721 - x722 - x723 - x724 - x725 - x726 - x727 - x728 - x729 - x730
        - x731 - x732 - x733 - x734 - x735 - x736 + x1127 =G= 0;

e304..  - x737 - x738 - x739 - x740 - x741 - x742 - x743 - x744 - x745 - x746
        - x747 - x748 - x749 - x750 - x751 - x752 + x1128 =G= 0;

e305..  - x753 - x754 - x755 - x756 - x757 - x758 - x759 - x760 - x761 - x762
        - x763 - x764 - x765 - x766 - x767 - x768 + x1129 =G= 0;

e306..  - x769 - x770 - x771 - x772 - x773 - x774 - x775 - x776 - x777 - x778
        - x779 - x780 - x781 - x782 - x783 - x784 + x1130 =G= 0;

e307..  - x785 - x786 - x787 - x788 - x789 - x790 - x791 - x792 - x793 - x794
        - x795 - x796 - x797 - x798 - x799 - x800 + x1131 =G= 0;

e308..  - x801 - x802 - x803 - x804 - x805 - x806 - x807 - x808 - x809 - x810
        - x811 - x812 - x813 - x814 - x815 - x816 + x1132 =G= 0;

e309..  - x817 - x818 - x819 - x820 - x821 - x822 - x823 - x824 - x825 - x826
        - x827 - x828 - x829 - x830 - x831 - x832 + x1133 =G= 0;

e310..  - x833 - x834 - x835 - x836 - x837 - x838 - x839 - x840 - x841 - x842
        - x843 - x844 - x845 - x846 - x847 - x848 + x1134 =G= 0;

e311..  - x849 - x850 - x851 - x852 - x853 - x854 - x855 - x856 - x857 - x858
        - x859 - x860 - x861 - x862 - x863 - x864 + x1135 =G= 0;

e312..  - x865 - x866 - x867 - x868 - x869 - x870 - x871 - x872 - x873 - x874
        - x875 - x876 - x877 - x878 - x879 - x880 + x1136 =G= 0;

e313..  - x881 - x882 - x883 - x884 - x885 - x886 - x887 - x888 - x889 - x890
        - x891 - x892 - x893 - x894 - x895 - x896 + x1137 =G= 0;

e314..  - x897 - x898 - x899 - x900 - x901 - x902 - x903 - x904 - x905 - x906
        - x907 - x908 - x909 - x910 - x911 - x912 + x1138 =G= 0;

e315..  - x913 - x914 - x915 - x916 - x917 - x918 - x919 - x920 - x921 - x922
        - x923 - x924 - x925 - x926 - x927 - x928 + x1139 =G= 0;

e316..  - x929 - x930 - x931 - x932 - x933 - x934 - x935 - x936 - x937 - x938
        - x939 - x940 - x941 - x942 - x943 - x944 + x1140 =G= 0;

e317..  - x945 - x946 - x947 - x948 - x949 - x950 - x951 - x952 - x953 - x954
        - x955 - x956 - x957 - x958 - x959 - x960 + x1141 =G= 0;

e318.. 137*x1082*b961 - 137*b961*x1021 + x1082*x1021 =L= 0;

e319.. 505*x1083*b962 - 505*b962*x1022 + x1083*x1022 =L= 0;

e320.. 427*x1084*b963 - 427*b963*x1023 + x1084*x1023 =L= 0;

e321.. 559*x1085*b964 - 559*b964*x1024 + x1085*x1024 =L= 0;

e322.. 137*x1086*b965 - 137*b965*x1025 + x1086*x1025 =L= 0;

e323.. 196*x1087*b966 - 196*b966*x1026 + x1087*x1026 =L= 0;

e324.. 341*x1088*b967 - 341*b967*x1027 + x1088*x1027 =L= 0;

e325.. 263*x1089*b968 - 263*b968*x1028 + x1089*x1028 =L= 0;

e326.. 245*x1090*b969 - 245*b969*x1029 + x1090*x1029 =L= 0;

e327.. 196*x1091*b970 - 196*b970*x1030 + x1091*x1030 =L= 0;

e328.. 346*x1092*b971 - 346*b971*x1031 + x1092*x1031 =L= 0;

e329.. 361*x1093*b972 - 361*b972*x1032 + x1093*x1032 =L= 0;

e330.. 179*x1094*b973 - 179*b973*x1033 + x1094*x1033 =L= 0;

e331.. 505*x1095*b974 - 505*b974*x1034 + x1095*x1034 =L= 0;

e332.. 341*x1096*b975 - 341*b975*x1035 + x1096*x1035 =L= 0;

e333.. 160*x1097*b976 - 160*b976*x1036 + x1097*x1036 =L= 0;

e334.. 389*x1098*b977 - 389*b977*x1037 + x1098*x1037 =L= 0;

e335.. 153*x1099*b978 - 153*b978*x1038 + x1099*x1038 =L= 0;

e336.. 164*x1100*b979 - 164*b979*x1039 + x1100*x1039 =L= 0;

e337.. 427*x1101*b980 - 427*b980*x1040 + x1101*x1040 =L= 0;

e338.. 389*x1102*b981 - 389*b981*x1041 + x1102*x1041 =L= 0;

e339.. 513*x1103*b982 - 513*b982*x1042 + x1103*x1042 =L= 0;

e340.. 353*x1104*b983 - 353*b983*x1043 + x1104*x1043 =L= 0;

e341.. 305*x1105*b984 - 305*b984*x1044 + x1105*x1044 =L= 0;

e342.. 346*x1106*b985 - 346*b985*x1045 + x1106*x1045 =L= 0;

e343.. 463*x1107*b986 - 463*b986*x1046 + x1107*x1046 =L= 0;

e344.. 511*x1108*b987 - 511*b987*x1047 + x1108*x1047 =L= 0;

e345.. 361*x1109*b988 - 361*b988*x1048 + x1109*x1048 =L= 0;

e346.. 513*x1110*b989 - 513*b989*x1049 + x1110*x1049 =L= 0;

e347.. 218*x1111*b990 - 218*b990*x1050 + x1111*x1050 =L= 0;

e348.. 338*x1112*b991 - 338*b991*x1051 + x1112*x1051 =L= 0;

e349.. 153*x1113*b992 - 153*b992*x1052 + x1113*x1052 =L= 0;

e350.. 439*x1114*b993 - 439*b993*x1053 + x1114*x1053 =L= 0;

e351.. 194*x1115*b994 - 194*b994*x1054 + x1115*x1054 =L= 0;

e352.. 353*x1116*b995 - 353*b995*x1055 + x1116*x1055 =L= 0;

e353.. 415*x1117*b996 - 415*b996*x1056 + x1117*x1056 =L= 0;

e354.. 559*x1118*b997 - 559*b997*x1057 + x1118*x1057 =L= 0;

e355.. 439*x1119*b998 - 439*b998*x1058 + x1119*x1058 =L= 0;

e356.. 415*x1120*b999 - 415*b999*x1059 + x1120*x1059 =L= 0;

e357.. 421*x1121*b1000 - 421*b1000*x1060 + x1121*x1060 =L= 0;

e358.. 179*x1122*b1001 - 179*b1001*x1061 + x1122*x1061 =L= 0;

e359.. 463*x1123*b1002 - 463*b1002*x1062 + x1123*x1062 =L= 0;

e360.. 534*x1124*b1003 - 534*b1003*x1063 + x1124*x1063 =L= 0;

e361.. 218*x1125*b1004 - 218*b1004*x1064 + x1125*x1064 =L= 0;

e362.. 534*x1126*b1005 - 534*b1005*x1065 + x1126*x1065 =L= 0;

e363.. 425*x1127*b1006 - 425*b1006*x1066 + x1127*x1066 =L= 0;

e364.. 263*x1128*b1007 - 263*b1007*x1067 + x1128*x1067 =L= 0;

e365.. 160*x1129*b1008 - 160*b1008*x1068 + x1129*x1068 =L= 0;

e366.. 511*x1130*b1009 - 511*b1009*x1069 + x1130*x1069 =L= 0;

e367.. 421*x1131*b1010 - 421*b1010*x1070 + x1131*x1070 =L= 0;

e368.. 497*x1132*b1011 - 497*b1011*x1071 + x1132*x1071 =L= 0;

e369.. 245*x1133*b1012 - 245*b1012*x1072 + x1133*x1072 =L= 0;

e370.. 305*x1134*b1013 - 305*b1013*x1073 + x1134*x1073 =L= 0;

e371.. 194*x1135*b1014 - 194*b1014*x1074 + x1135*x1074 =L= 0;

e372.. 425*x1136*b1015 - 425*b1015*x1075 + x1136*x1075 =L= 0;

e373.. 497*x1137*b1016 - 497*b1016*x1076 + x1137*x1076 =L= 0;

e374.. 552*x1138*b1017 - 552*b1017*x1077 + x1138*x1077 =L= 0;

e375.. 164*x1139*b1018 - 164*b1018*x1078 + x1139*x1078 =L= 0;

e376.. 338*x1140*b1019 - 338*b1019*x1079 + x1140*x1079 =L= 0;

e377.. 552*x1141*b1020 - 552*b1020*x1080 + x1141*x1080 =L= 0;

e378..    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 =L= 14012;

e379..    x1 + x2 + x3 + x4 + x5 + x6 + x7 + x8 + x9 + x10 + x11 + x12 + x13
        + x14 + x15 + x16 - 137*b961 =L= 0;

e380..    x17 + x18 + x19 + x20 + x21 + x22 + x23 + x24 + x25 + x26 + x27 + x28
        + x29 + x30 + x31 + x32 - 505*b962 =L= 0;

e381..    x33 + x34 + x35 + x36 + x37 + x38 + x39 + x40 + x41 + x42 + x43 + x44
        + x45 + x46 + x47 + x48 - 427*b963 =L= 0;

e382..    x49 + x50 + x51 + x52 + x53 + x54 + x55 + x56 + x57 + x58 + x59 + x60
        + x61 + x62 + x63 + x64 - 559*b964 =L= 0;

e383..    x65 + x66 + x67 + x68 + x69 + x70 + x71 + x72 + x73 + x74 + x75 + x76
        + x77 + x78 + x79 + x80 - 137*b965 =L= 0;

e384..    x81 + x82 + x83 + x84 + x85 + x86 + x87 + x88 + x89 + x90 + x91 + x92
        + x93 + x94 + x95 + x96 - 196*b966 =L= 0;

e385..    x97 + x98 + x99 + x100 + x101 + x102 + x103 + x104 + x105 + x106
        + x107 + x108 + x109 + x110 + x111 + x112 - 341*b967 =L= 0;

e386..    x113 + x114 + x115 + x116 + x117 + x118 + x119 + x120 + x121 + x122
        + x123 + x124 + x125 + x126 + x127 + x128 - 263*b968 =L= 0;

e387..    x129 + x130 + x131 + x132 + x133 + x134 + x135 + x136 + x137 + x138
        + x139 + x140 + x141 + x142 + x143 + x144 - 245*b969 =L= 0;

e388..    x145 + x146 + x147 + x148 + x149 + x150 + x151 + x152 + x153 + x154
        + x155 + x156 + x157 + x158 + x159 + x160 - 196*b970 =L= 0;

e389..    x161 + x162 + x163 + x164 + x165 + x166 + x167 + x168 + x169 + x170
        + x171 + x172 + x173 + x174 + x175 + x176 - 346*b971 =L= 0;

e390..    x177 + x178 + x179 + x180 + x181 + x182 + x183 + x184 + x185 + x186
        + x187 + x188 + x189 + x190 + x191 + x192 - 361*b972 =L= 0;

e391..    x193 + x194 + x195 + x196 + x197 + x198 + x199 + x200 + x201 + x202
        + x203 + x204 + x205 + x206 + x207 + x208 - 179*b973 =L= 0;

e392..    x209 + x210 + x211 + x212 + x213 + x214 + x215 + x216 + x217 + x218
        + x219 + x220 + x221 + x222 + x223 + x224 - 505*b974 =L= 0;

e393..    x225 + x226 + x227 + x228 + x229 + x230 + x231 + x232 + x233 + x234
        + x235 + x236 + x237 + x238 + x239 + x240 - 341*b975 =L= 0;

e394..    x241 + x242 + x243 + x244 + x245 + x246 + x247 + x248 + x249 + x250
        + x251 + x252 + x253 + x254 + x255 + x256 - 160*b976 =L= 0;

e395..    x257 + x258 + x259 + x260 + x261 + x262 + x263 + x264 + x265 + x266
        + x267 + x268 + x269 + x270 + x271 + x272 - 389*b977 =L= 0;

e396..    x273 + x274 + x275 + x276 + x277 + x278 + x279 + x280 + x281 + x282
        + x283 + x284 + x285 + x286 + x287 + x288 - 153*b978 =L= 0;

e397..    x289 + x290 + x291 + x292 + x293 + x294 + x295 + x296 + x297 + x298
        + x299 + x300 + x301 + x302 + x303 + x304 - 164*b979 =L= 0;

e398..    x305 + x306 + x307 + x308 + x309 + x310 + x311 + x312 + x313 + x314
        + x315 + x316 + x317 + x318 + x319 + x320 - 427*b980 =L= 0;

e399..    x321 + x322 + x323 + x324 + x325 + x326 + x327 + x328 + x329 + x330
        + x331 + x332 + x333 + x334 + x335 + x336 - 389*b981 =L= 0;

e400..    x337 + x338 + x339 + x340 + x341 + x342 + x343 + x344 + x345 + x346
        + x347 + x348 + x349 + x350 + x351 + x352 - 513*b982 =L= 0;

e401..    x353 + x354 + x355 + x356 + x357 + x358 + x359 + x360 + x361 + x362
        + x363 + x364 + x365 + x366 + x367 + x368 - 353*b983 =L= 0;

e402..    x369 + x370 + x371 + x372 + x373 + x374 + x375 + x376 + x377 + x378
        + x379 + x380 + x381 + x382 + x383 + x384 - 305*b984 =L= 0;

e403..    x385 + x386 + x387 + x388 + x389 + x390 + x391 + x392 + x393 + x394
        + x395 + x396 + x397 + x398 + x399 + x400 - 346*b985 =L= 0;

e404..    x401 + x402 + x403 + x404 + x405 + x406 + x407 + x408 + x409 + x410
        + x411 + x412 + x413 + x414 + x415 + x416 - 463*b986 =L= 0;

e405..    x417 + x418 + x419 + x420 + x421 + x422 + x423 + x424 + x425 + x426
        + x427 + x428 + x429 + x430 + x431 + x432 - 511*b987 =L= 0;

e406..    x433 + x434 + x435 + x436 + x437 + x438 + x439 + x440 + x441 + x442
        + x443 + x444 + x445 + x446 + x447 + x448 - 361*b988 =L= 0;

e407..    x449 + x450 + x451 + x452 + x453 + x454 + x455 + x456 + x457 + x458
        + x459 + x460 + x461 + x462 + x463 + x464 - 513*b989 =L= 0;

e408..    x465 + x466 + x467 + x468 + x469 + x470 + x471 + x472 + x473 + x474
        + x475 + x476 + x477 + x478 + x479 + x480 - 218*b990 =L= 0;

e409..    x481 + x482 + x483 + x484 + x485 + x486 + x487 + x488 + x489 + x490
        + x491 + x492 + x493 + x494 + x495 + x496 - 338*b991 =L= 0;

e410..    x497 + x498 + x499 + x500 + x501 + x502 + x503 + x504 + x505 + x506
        + x507 + x508 + x509 + x510 + x511 + x512 - 153*b992 =L= 0;

e411..    x513 + x514 + x515 + x516 + x517 + x518 + x519 + x520 + x521 + x522
        + x523 + x524 + x525 + x526 + x527 + x528 - 439*b993 =L= 0;

e412..    x529 + x530 + x531 + x532 + x533 + x534 + x535 + x536 + x537 + x538
        + x539 + x540 + x541 + x542 + x543 + x544 - 194*b994 =L= 0;

e413..    x545 + x546 + x547 + x548 + x549 + x550 + x551 + x552 + x553 + x554
        + x555 + x556 + x557 + x558 + x559 + x560 - 353*b995 =L= 0;

e414..    x561 + x562 + x563 + x564 + x565 + x566 + x567 + x568 + x569 + x570
        + x571 + x572 + x573 + x574 + x575 + x576 - 415*b996 =L= 0;

e415..    x577 + x578 + x579 + x580 + x581 + x582 + x583 + x584 + x585 + x586
        + x587 + x588 + x589 + x590 + x591 + x592 - 559*b997 =L= 0;

e416..    x593 + x594 + x595 + x596 + x597 + x598 + x599 + x600 + x601 + x602
        + x603 + x604 + x605 + x606 + x607 + x608 - 439*b998 =L= 0;

e417..    x609 + x610 + x611 + x612 + x613 + x614 + x615 + x616 + x617 + x618
        + x619 + x620 + x621 + x622 + x623 + x624 - 415*b999 =L= 0;

e418..    x625 + x626 + x627 + x628 + x629 + x630 + x631 + x632 + x633 + x634
        + x635 + x636 + x637 + x638 + x639 + x640 - 421*b1000 =L= 0;

e419..    x641 + x642 + x643 + x644 + x645 + x646 + x647 + x648 + x649 + x650
        + x651 + x652 + x653 + x654 + x655 + x656 - 179*b1001 =L= 0;

e420..    x657 + x658 + x659 + x660 + x661 + x662 + x663 + x664 + x665 + x666
        + x667 + x668 + x669 + x670 + x671 + x672 - 463*b1002 =L= 0;

e421..    x673 + x674 + x675 + x676 + x677 + x678 + x679 + x680 + x681 + x682
        + x683 + x684 + x685 + x686 + x687 + x688 - 534*b1003 =L= 0;

e422..    x689 + x690 + x691 + x692 + x693 + x694 + x695 + x696 + x697 + x698
        + x699 + x700 + x701 + x702 + x703 + x704 - 218*b1004 =L= 0;

e423..    x705 + x706 + x707 + x708 + x709 + x710 + x711 + x712 + x713 + x714
        + x715 + x716 + x717 + x718 + x719 + x720 - 534*b1005 =L= 0;

e424..    x721 + x722 + x723 + x724 + x725 + x726 + x727 + x728 + x729 + x730
        + x731 + x732 + x733 + x734 + x735 + x736 - 425*b1006 =L= 0;

e425..    x737 + x738 + x739 + x740 + x741 + x742 + x743 + x744 + x745 + x746
        + x747 + x748 + x749 + x750 + x751 + x752 - 263*b1007 =L= 0;

e426..    x753 + x754 + x755 + x756 + x757 + x758 + x759 + x760 + x761 + x762
        + x763 + x764 + x765 + x766 + x767 + x768 - 160*b1008 =L= 0;

e427..    x769 + x770 + x771 + x772 + x773 + x774 + x775 + x776 + x777 + x778
        + x779 + x780 + x781 + x782 + x783 + x784 - 511*b1009 =L= 0;

e428..    x785 + x786 + x787 + x788 + x789 + x790 + x791 + x792 + x793 + x794
        + x795 + x796 + x797 + x798 + x799 + x800 - 421*b1010 =L= 0;

e429..    x801 + x802 + x803 + x804 + x805 + x806 + x807 + x808 + x809 + x810
        + x811 + x812 + x813 + x814 + x815 + x816 - 497*b1011 =L= 0;

e430..    x817 + x818 + x819 + x820 + x821 + x822 + x823 + x824 + x825 + x826
        + x827 + x828 + x829 + x830 + x831 + x832 - 245*b1012 =L= 0;

e431..    x833 + x834 + x835 + x836 + x837 + x838 + x839 + x840 + x841 + x842
        + x843 + x844 + x845 + x846 + x847 + x848 - 305*b1013 =L= 0;

e432..    x849 + x850 + x851 + x852 + x853 + x854 + x855 + x856 + x857 + x858
        + x859 + x860 + x861 + x862 + x863 + x864 - 194*b1014 =L= 0;

e433..    x865 + x866 + x867 + x868 + x869 + x870 + x871 + x872 + x873 + x874
        + x875 + x876 + x877 + x878 + x879 + x880 - 425*b1015 =L= 0;

e434..    x881 + x882 + x883 + x884 + x885 + x886 + x887 + x888 + x889 + x890
        + x891 + x892 + x893 + x894 + x895 + x896 - 497*b1016 =L= 0;

e435..    x897 + x898 + x899 + x900 + x901 + x902 + x903 + x904 + x905 + x906
        + x907 + x908 + x909 + x910 + x911 + x912 - 552*b1017 =L= 0;

e436..    x913 + x914 + x915 + x916 + x917 + x918 + x919 + x920 + x921 + x922
        + x923 + x924 + x925 + x926 + x927 + x928 - 164*b1018 =L= 0;

e437..    x929 + x930 + x931 + x932 + x933 + x934 + x935 + x936 + x937 + x938
        + x939 + x940 + x941 + x942 + x943 + x944 - 338*b1019 =L= 0;

e438..    x945 + x946 + x947 + x948 + x949 + x950 + x951 + x952 + x953 + x954
        + x955 + x956 + x957 + x958 + x959 + x960 - 552*b1020 =L= 0;

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;


Last updated: 2022-08-11 Git hash: f176bd52
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