QPLIB

A Library of Quadratic Programming Instances

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QPLIB_3670

Formats gms lp mod qplib
Problem type probtype LMQ
Solution point objective value solobjvalue 114.94877640 (gdx, sol)
Solution point infeasibility solinfeasibility 1.4552e-11
Donor donor Stefan Vigerske
#Variables nvars 918
#Binary Variables nbinvars 54
#Integer Variables nintvars 0
#Bounded non-binary Variables nboundedvars 0
#Variables with only one bound nsingleboundedvars 108
#Nonlinear Variables nnlvars 162
#Nonlinear Binary Variables nnlbinvars 54
#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 54
#Nonlinear Nonzeros in Objective nobjnlnz 0
#Quadratic Terms in Objective nobjquadnz 0
#Square Terms in Objective nobjquaddiagnz 0
#Constraints ncons 359
#Linear Constraints nlincons 305
#Quadratic Constraints nquadcons 54
#Diagonal Quadratic Constraints ndiagquadcons 0
Constraints curvature conscurvature indefinite
#Convex Nonlinear Constraints nconvexnlcons 0
#Concave Nonlinear Constraints nconcavenlcons 0
#Indefinite Nonlinear Constraints nindefinitenlcons 54
#Nonzeros in Jacobian njacobiannz 3348
#Nonlinear Nonzeros in Jacobian njacobiannlnz 162
#Nonzeros in (Upper-Left) Hessian of Lagrangian nlaghessiannz 324
#Nonzeros in Diagonal of Hessian of Lagrangian nlaghessiandiagnz 0
#Blocks in Hessian of Lagrangian nlaghessianblocks 54
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_3670.gms

$offlisting
*  
*  Equation counts
*      Total        E        G        L        N        X        C        B
*        360      197       54      109        0        0        0        0
*  
*  Variable counts
*                   x        b        i      s1s      s2s       sc       si
*      Total     cont   binary  integer     sos1     sos2    scont     sint
*        919      865       54        0        0        0        0        0
*  FX      0        0        0        0        0        0        0        0
*  
*  Nonzero counts
*      Total    const       NL      DLL
*       3403     3241      162        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,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;

Positive Variables  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;

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;

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;


e1..  - objvar + 1.247902153*b2 + 3.853248292*b3 + 2.753881396*b4
      + 1.247902153*b5 + 2.115303802*b6 + 2.073122818*b7 + 3.87564082*b8
      + 2.537458771*b9 + 3.897053494*b10 + 3.223097071*b11 + 3.077538217*b12
      + 3.222690685*b13 + 3.045368992*b14 + 1.256398027*b15 + 1.321513474*b16
      + 2.115303802*b17 + 3.077538217*b18 + 3.213749761*b19 + 1.140696436*b20
      + 3.853248292*b21 + 3.87564082*b22 + 1.796801476*b23 + 1.930844545*b24
      + 2.073122818*b25 + 2.537458771*b26 + 1.796801476*b27 + 2.930918827*b28
      + 2.753881396*b29 + 3.897053494*b30 + 3.572642632*b31 + 2.15701522*b32
      + 1.061422612*b33 + 3.222690685*b34 + 3.213749761*b35 + 3.867132154*b36
      + 3.572642632*b37 + 3.838723369*b38 + 3.223097071*b39 + 3.045368992*b40
      + 2.15701522*b41 + 3.867132154*b42 + 3.838723369*b43 + 3.613241704*b44
      + 1.140696436*b45 + 2.930918827*b46 + 3.293067286*b47 + 1.256398027*b48
      + 1.737076687*b49 + 1.321513474*b50 + 1.930844545*b51 + 1.061422612*b52
      + 3.613241704*b53 + 3.293067286*b54 + 1.737076687*b55 =E= 0;

e2..  - x56 - x57 - x58 + x59 + x60 + x61 =E= -207;

e3..  - x62 - x63 - x64 + x65 + x66 + x67 =E= 8;

e4..  - x68 - x69 - x70 + x71 + x72 + x73 =E= 25;

e5..  - x74 - x75 - x76 + x77 + x78 + x79 =E= 16;

e6..  - x80 - x81 - x82 + x83 + x84 + x85 =E= 17;

e7..  - x86 - x87 - x88 + x89 + x90 + x91 =E= 6;

e8..  - x92 - x93 - x94 + x95 + x96 + x97 =E= 14;

e9..  - x98 - x99 - x100 + x101 + x102 + x103 =E= 19;

e10..  - x104 - x105 - x106 + x107 + x108 + x109 =E= 8;

e11..  - x110 - x111 - x112 + x113 + x114 + x115 =E= 17;

e12..  - x116 - x117 - x118 + x119 + x120 + x121 =E= 15;

e13..  - x122 - x123 - x124 + x125 + x126 + x127 =E= 19;

e14..  - x128 - x129 - x130 + x131 + x132 + x133 =E= 13;

e15..  - x134 - x135 - x136 + x137 + x138 + x139 =E= 21;

e16..    x56 - x59 - x140 - x141 + x142 + x143 =E= 11;

e17..    x62 - x65 - x144 - x145 + x146 + x147 =E= -165;

e18..    x68 - x71 - x148 - x149 + x150 + x151 =E= 11;

e19..    x74 - x77 - x152 - x153 + x154 + x155 =E= 11;

e20..    x80 - x83 - x156 - x157 + x158 + x159 =E= 23;

e21..    x86 - x89 - x160 - x161 + x162 + x163 =E= 16;

e22..    x92 - x95 - x164 - x165 + x166 + x167 =E= 23;

e23..    x98 - x101 - x168 - x169 + x170 + x171 =E= 15;

e24..    x104 - x107 - x172 - x173 + x174 + x175 =E= 14;

e25..    x110 - x113 - x176 - x177 + x178 + x179 =E= 13;

e26..    x116 - x119 - x180 - x181 + x182 + x183 =E= 10;

e27..    x122 - x125 - x184 - x185 + x186 + x187 =E= 16;

e28..    x128 - x131 - x188 - x189 + x190 + x191 =E= 21;

e29..    x134 - x137 - x192 - x193 + x194 + x195 =E= 13;

e30..  - x196 - x197 - x198 - x199 + x200 + x201 + x202 + x203 =E= 24;

e31..  - x204 - x205 - x206 - x207 + x208 + x209 + x210 + x211 =E= 14;

e32..  - x212 - x213 - x214 - x215 + x216 + x217 + x218 + x219 =E= -171;

e33..  - x220 - x221 - x222 - x223 + x224 + x225 + x226 + x227 =E= 19;

e34..  - x228 - x229 - x230 - x231 + x232 + x233 + x234 + x235 =E= 11;

e35..  - x236 - x237 - x238 - x239 + x240 + x241 + x242 + x243 =E= 15;

e36..  - x244 - x245 - x246 - x247 + x248 + x249 + x250 + x251 =E= 17;

e37..  - x252 - x253 - x254 - x255 + x256 + x257 + x258 + x259 =E= 5;

e38..  - x260 - x261 - x262 - x263 + x264 + x265 + x266 + x267 =E= 21;

e39..  - x268 - x269 - x270 - x271 + x272 + x273 + x274 + x275 =E= 23;

e40..  - x276 - x277 - x278 - x279 + x280 + x281 + x282 + x283 =E= 6;

e41..  - x284 - x285 - x286 - x287 + x288 + x289 + x290 + x291 =E= 22;

e42..  - x292 - x293 - x294 - x295 + x296 + x297 + x298 + x299 =E= 7;

e43..  - x300 - x301 - x302 - x303 + x304 + x305 + x306 + x307 =E= 6;

e44..  - x308 - x309 - x310 - x311 - x312 + x313 + x314 + x315 + x316 + x317
       =E= 23;

e45..  - x318 - x319 - x320 - x321 - x322 + x323 + x324 + x325 + x326 + x327
       =E= 17;

e46..  - x328 - x329 - x330 - x331 - x332 + x333 + x334 + x335 + x336 + x337
       =E= 7;

e47..  - x338 - x339 - x340 - x341 - x342 + x343 + x344 + x345 + x346 + x347
       =E= -199;

e48..  - x348 - x349 - x350 - x351 - x352 + x353 + x354 + x355 + x356 + x357
       =E= 12;

e49..  - x358 - x359 - x360 - x361 - x362 + x363 + x364 + x365 + x366 + x367
       =E= 22;

e50..  - x368 - x369 - x370 - x371 - x372 + x373 + x374 + x375 + x376 + x377
       =E= 18;

e51..  - x378 - x379 - x380 - x381 - x382 + x383 + x384 + x385 + x386 + x387
       =E= 7;

e52..  - x388 - x389 - x390 - x391 - x392 + x393 + x394 + x395 + x396 + x397
       =E= 9;

e53..  - x398 - x399 - x400 - x401 - x402 + x403 + x404 + x405 + x406 + x407
       =E= 10;

e54..  - x408 - x409 - x410 - x411 - x412 + x413 + x414 + x415 + x416 + x417
       =E= 17;

e55..  - x418 - x419 - x420 - x421 - x422 + x423 + x424 + x425 + x426 + x427
       =E= 11;

e56..  - x428 - x429 - x430 - x431 - x432 + x433 + x434 + x435 + x436 + x437
       =E= 23;

e57..  - x438 - x439 - x440 - x441 - x442 + x443 + x444 + x445 + x446 + x447
       =E= 15;

e58..    x140 - x142 + x308 - x313 - x448 - x449 + x450 + x451 =E= 15;

e59..    x144 - x146 + x318 - x323 - x452 - x453 + x454 + x455 =E= 25;

e60..    x148 - x150 + x328 - x333 - x456 - x457 + x458 + x459 =E= 23;

e61..    x152 - x154 + x338 - x343 - x460 - x461 + x462 + x463 =E= 5;

e62..    x156 - x158 + x348 - x353 - x464 - x465 + x466 + x467 =E= -218;

e63..    x160 - x162 + x358 - x363 - x468 - x469 + x470 + x471 =E= 25;

e64..    x164 - x166 + x368 - x373 - x472 - x473 + x474 + x475 =E= 16;

e65..    x168 - x170 + x378 - x383 - x476 - x477 + x478 + x479 =E= 12;

e66..    x172 - x174 + x388 - x393 - x480 - x481 + x482 + x483 =E= 7;

e67..    x176 - x178 + x398 - x403 - x484 - x485 + x486 + x487 =E= 5;

e68..    x180 - x182 + x408 - x413 - x488 - x489 + x490 + x491 =E= 19;

e69..    x184 - x186 + x418 - x423 - x492 - x493 + x494 + x495 =E= 12;

e70..    x188 - x190 + x428 - x433 - x496 - x497 + x498 + x499 =E= 23;

e71..    x192 - x194 + x438 - x443 - x500 - x501 + x502 + x503 =E= 19;

e72..    x57 - x60 + x196 - x200 - x504 - x505 + x506 + x507 =E= 12;

e73..    x63 - x66 + x204 - x208 - x508 - x509 + x510 + x511 =E= 6;

e74..    x69 - x72 + x212 - x216 - x512 - x513 + x514 + x515 =E= 10;

e75..    x75 - x78 + x220 - x224 - x516 - x517 + x518 + x519 =E= 11;

e76..    x81 - x84 + x228 - x232 - x520 - x521 + x522 + x523 =E= 14;

e77..    x87 - x90 + x236 - x240 - x524 - x525 + x526 + x527 =E= -210;

e78..    x93 - x96 + x244 - x248 - x528 - x529 + x530 + x531 =E= 12;

e79..    x99 - x102 + x252 - x256 - x532 - x533 + x534 + x535 =E= 17;

e80..    x105 - x108 + x260 - x264 - x536 - x537 + x538 + x539 =E= 15;

e81..    x111 - x114 + x268 - x272 - x540 - x541 + x542 + x543 =E= 21;

e82..    x117 - x120 + x276 - x280 - x544 - x545 + x546 + x547 =E= 22;

e83..    x123 - x126 + x284 - x288 - x548 - x549 + x550 + x551 =E= 7;

e84..    x129 - x132 + x292 - x296 - x552 - x553 + x554 + x555 =E= 6;

e85..    x135 - x138 + x300 - x304 - x556 - x557 + x558 + x559 =E= 22;

e86..    x141 - x143 + x197 - x201 + x504 - x506 - x560 + x561 =E= 17;

e87..    x145 - x147 + x205 - x209 + x508 - x510 - x562 + x563 =E= 25;

e88..    x149 - x151 + x213 - x217 + x512 - x514 - x564 + x565 =E= 14;

e89..    x153 - x155 + x221 - x225 + x516 - x518 - x566 + x567 =E= 13;

e90..    x157 - x159 + x229 - x233 + x520 - x522 - x568 + x569 =E= 12;

e91..    x161 - x163 + x237 - x241 + x524 - x526 - x570 + x571 =E= 8;

e92..    x165 - x167 + x245 - x249 + x528 - x530 - x572 + x573 =E= -196;

e93..    x169 - x171 + x253 - x257 + x532 - x534 - x574 + x575 =E= 5;

e94..    x173 - x175 + x261 - x265 + x536 - x538 - x576 + x577 =E= 13;

e95..    x177 - x179 + x269 - x273 + x540 - x542 - x578 + x579 =E= 8;

e96..    x181 - x183 + x277 - x281 + x544 - x546 - x580 + x581 =E= 20;

e97..    x185 - x187 + x285 - x289 + x548 - x550 - x582 + x583 =E= 16;

e98..    x189 - x191 + x293 - x297 + x552 - x554 - x584 + x585 =E= 18;

e99..    x193 - x195 + x301 - x305 + x556 - x558 - x586 + x587 =E= 9;

e100..    x58 - x61 + x198 - x202 - x588 - x589 - x590 + x591 + x592 + x593
        =E= 7;

e101..    x64 - x67 + x206 - x210 - x594 - x595 - x596 + x597 + x598 + x599
        =E= 6;

e102..    x70 - x73 + x214 - x218 - x600 - x601 - x602 + x603 + x604 + x605
        =E= 8;

e103..    x76 - x79 + x222 - x226 - x606 - x607 - x608 + x609 + x610 + x611
        =E= 22;

e104..    x82 - x85 + x230 - x234 - x612 - x613 - x614 + x615 + x616 + x617
        =E= 23;

e105..    x88 - x91 + x238 - x242 - x618 - x619 - x620 + x621 + x622 + x623
        =E= 14;

e106..    x94 - x97 + x246 - x250 - x624 - x625 - x626 + x627 + x628 + x629
        =E= 19;

e107..    x100 - x103 + x254 - x258 - x630 - x631 - x632 + x633 + x634 + x635
        =E= -174;

e108..    x106 - x109 + x262 - x266 - x636 - x637 - x638 + x639 + x640 + x641
        =E= 12;

e109..    x112 - x115 + x270 - x274 - x642 - x643 - x644 + x645 + x646 + x647
        =E= 7;

e110..    x118 - x121 + x278 - x282 - x648 - x649 - x650 + x651 + x652 + x653
        =E= 23;

e111..    x124 - x127 + x286 - x290 - x654 - x655 - x656 + x657 + x658 + x659
        =E= 16;

e112..    x130 - x133 + x294 - x298 - x660 - x661 - x662 + x663 + x664 + x665
        =E= 10;

e113..    x136 - x139 + x302 - x306 - x666 - x667 - x668 + x669 + x670 + x671
        =E= 23;

e114..    x309 - x314 + x448 - x450 - x672 + x673 =E= 9;

e115..    x319 - x324 + x452 - x454 - x674 + x675 =E= 14;

e116..    x329 - x334 + x456 - x458 - x676 + x677 =E= 6;

e117..    x339 - x344 + x460 - x462 - x678 + x679 =E= 21;

e118..    x349 - x354 + x464 - x466 - x680 + x681 =E= 14;

e119..    x359 - x364 + x468 - x470 - x682 + x683 =E= 22;

e120..    x369 - x374 + x472 - x474 - x684 + x685 =E= 6;

e121..    x379 - x384 + x476 - x478 - x686 + x687 =E= 17;

e122..    x389 - x394 + x480 - x482 - x688 + x689 =E= -198;

e123..    x399 - x404 + x484 - x486 - x690 + x691 =E= 19;

e124..    x409 - x414 + x488 - x490 - x692 + x693 =E= 15;

e125..    x419 - x424 + x492 - x494 - x694 + x695 =E= 6;

e126..    x429 - x434 + x496 - x498 - x696 + x697 =E= 19;

e127..    x439 - x444 + x500 - x502 - x698 + x699 =E= 15;

e128..    x588 - x591 - x700 + x701 =E= 24;

e129..    x594 - x597 - x702 + x703 =E= 9;

e130..    x600 - x603 - x704 + x705 =E= 13;

e131..    x606 - x609 - x706 + x707 =E= 22;

e132..    x612 - x615 - x708 + x709 =E= 13;

e133..    x618 - x621 - x710 + x711 =E= 20;

e134..    x624 - x627 - x712 + x713 =E= 15;

e135..    x630 - x633 - x714 + x715 =E= 24;

e136..    x636 - x639 - x716 + x717 =E= 22;

e137..    x642 - x645 - x718 + x719 =E= -168;

e138..    x648 - x651 - x720 + x721 =E= 22;

e139..    x654 - x657 - x722 + x723 =E= 16;

e140..    x660 - x663 - x724 + x725 =E= 7;

e141..    x666 - x669 - x726 + x727 =E= 11;

e142..    x199 - x203 + x310 - x315 + x589 - x592 + x672 - x673 + x700 - x701
        - x728 + x729 =E= 23;

e143..    x207 - x211 + x320 - x325 + x595 - x598 + x674 - x675 + x702 - x703
        - x730 + x731 =E= 6;

e144..    x215 - x219 + x330 - x335 + x601 - x604 + x676 - x677 + x704 - x705
        - x732 + x733 =E= 12;

e145..    x223 - x227 + x340 - x345 + x607 - x610 + x678 - x679 + x706 - x707
        - x734 + x735 =E= 11;

e146..    x231 - x235 + x350 - x355 + x613 - x616 + x680 - x681 + x708 - x709
        - x736 + x737 =E= 20;

e147..    x239 - x243 + x360 - x365 + x619 - x622 + x682 - x683 + x710 - x711
        - x738 + x739 =E= 21;

e148..    x247 - x251 + x370 - x375 + x625 - x628 + x684 - x685 + x712 - x713
        - x740 + x741 =E= 20;

e149..    x255 - x259 + x380 - x385 + x631 - x634 + x686 - x687 + x714 - x715
        - x742 + x743 =E= 23;

e150..    x263 - x267 + x390 - x395 + x637 - x640 + x688 - x689 + x716 - x717
        - x744 + x745 =E= 21;

e151..    x271 - x275 + x400 - x405 + x643 - x646 + x690 - x691 + x718 - x719
        - x746 + x747 =E= 6;

e152..    x279 - x283 + x410 - x415 + x649 - x652 + x692 - x693 + x720 - x721
        - x748 + x749 =E= -205;

e153..    x287 - x291 + x420 - x425 + x655 - x658 + x694 - x695 + x722 - x723
        - x750 + x751 =E= 13;

e154..    x295 - x299 + x430 - x435 + x661 - x664 + x696 - x697 + x724 - x725
        - x752 + x753 =E= 14;

e155..    x303 - x307 + x440 - x445 + x667 - x670 + x698 - x699 + x726 - x727
        - x754 + x755 =E= 17;

e156..    x449 - x451 + x560 - x561 - x756 + x757 =E= 14;

e157..    x453 - x455 + x562 - x563 - x758 + x759 =E= 17;

e158..    x457 - x459 + x564 - x565 - x760 + x761 =E= 7;

e159..    x461 - x463 + x566 - x567 - x762 + x763 =E= 15;

e160..    x465 - x467 + x568 - x569 - x764 + x765 =E= 24;

e161..    x469 - x471 + x570 - x571 - x766 + x767 =E= 15;

e162..    x473 - x475 + x572 - x573 - x768 + x769 =E= 10;

e163..    x477 - x479 + x574 - x575 - x770 + x771 =E= 15;

e164..    x481 - x483 + x576 - x577 - x772 + x773 =E= 20;

e165..    x485 - x487 + x578 - x579 - x774 + x775 =E= 11;

e166..    x489 - x491 + x580 - x581 - x776 + x777 =E= 6;

e167..    x493 - x495 + x582 - x583 - x778 + x779 =E= -175;

e168..    x497 - x499 + x584 - x585 - x780 + x781 =E= 6;

e169..    x501 - x503 + x586 - x587 - x782 + x783 =E= 6;

e170..    x311 - x316 - x784 + x785 =E= 13;

e171..    x321 - x326 - x786 + x787 =E= 9;

e172..    x331 - x336 - x788 + x789 =E= 10;

e173..    x341 - x346 - x790 + x791 =E= 15;

e174..    x351 - x356 - x792 + x793 =E= 13;

e175..    x361 - x366 - x794 + x795 =E= 19;

e176..    x371 - x376 - x796 + x797 =E= 10;

e177..    x381 - x386 - x798 + x799 =E= 10;

e178..    x391 - x396 - x800 + x801 =E= 20;

e179..    x401 - x406 - x802 + x803 =E= 15;

e180..    x411 - x416 - x804 + x805 =E= 17;

e181..    x421 - x426 - x806 + x807 =E= 15;

e182..    x431 - x436 - x808 + x809 =E= -182;

e183..    x441 - x446 - x810 + x811 =E= 13;

e184..    x312 - x317 + x505 - x507 + x590 - x593 + x728 - x729 + x756 - x757
        + x784 - x785 =E= 15;

e185..    x322 - x327 + x509 - x511 + x596 - x599 + x730 - x731 + x758 - x759
        + x786 - x787 =E= 9;

e186..    x332 - x337 + x513 - x515 + x602 - x605 + x732 - x733 + x760 - x761
        + x788 - x789 =E= 25;

e187..    x342 - x347 + x517 - x519 + x608 - x611 + x734 - x735 + x762 - x763
        + x790 - x791 =E= 18;

e188..    x352 - x357 + x521 - x523 + x614 - x617 + x736 - x737 + x764 - x765
        + x792 - x793 =E= 22;

e189..    x362 - x367 + x525 - x527 + x620 - x623 + x738 - x739 + x766 - x767
        + x794 - x795 =E= 7;

e190..    x372 - x377 + x529 - x531 + x626 - x629 + x740 - x741 + x768 - x769
        + x796 - x797 =E= 16;

e191..    x382 - x387 + x533 - x535 + x632 - x635 + x742 - x743 + x770 - x771
        + x798 - x799 =E= 5;

e192..    x392 - x397 + x537 - x539 + x638 - x641 + x744 - x745 + x772 - x773
        + x800 - x801 =E= 16;

e193..    x402 - x407 + x541 - x543 + x644 - x647 + x746 - x747 + x774 - x775
        + x802 - x803 =E= 13;

e194..    x412 - x417 + x545 - x547 + x650 - x653 + x748 - x749 + x776 - x777
        + x804 - x805 =E= 13;

e195..    x422 - x427 + x549 - x551 + x656 - x659 + x750 - x751 + x778 - x779
        + x806 - x807 =E= 6;

e196..    x432 - x437 + x553 - x555 + x662 - x665 + x752 - x753 + x780 - x781
        + x808 - x809 =E= 15;

e197..    x442 - x447 + x557 - x559 + x668 - x671 + x754 - x755 + x782 - x783
        + x810 - x811 =E= -190;

e198..  - x56 - x62 - x68 - x74 - x80 - x86 - x92 - x98 - x104 - x110 - x116
        - x122 - x128 - x134 + x812 =G= 0;

e199..  - x57 - x63 - x69 - x75 - x81 - x87 - x93 - x99 - x105 - x111 - x117
        - x123 - x129 - x135 + x813 =G= 0;

e200..  - x58 - x64 - x70 - x76 - x82 - x88 - x94 - x100 - x106 - x112 - x118
        - x124 - x130 - x136 + x814 =G= 0;

e201..  - x59 - x65 - x71 - x77 - x83 - x89 - x95 - x101 - x107 - x113 - x119
        - x125 - x131 - x137 + x815 =G= 0;

e202..  - x140 - x144 - x148 - x152 - x156 - x160 - x164 - x168 - x172 - x176
        - x180 - x184 - x188 - x192 + x816 =G= 0;

e203..  - x141 - x145 - x149 - x153 - x157 - x161 - x165 - x169 - x173 - x177
        - x181 - x185 - x189 - x193 + x817 =G= 0;

e204..  - x196 - x204 - x212 - x220 - x228 - x236 - x244 - x252 - x260 - x268
        - x276 - x284 - x292 - x300 + x818 =G= 0;

e205..  - x197 - x205 - x213 - x221 - x229 - x237 - x245 - x253 - x261 - x269
        - x277 - x285 - x293 - x301 + x819 =G= 0;

e206..  - x198 - x206 - x214 - x222 - x230 - x238 - x246 - x254 - x262 - x270
        - x278 - x286 - x294 - x302 + x820 =G= 0;

e207..  - x199 - x207 - x215 - x223 - x231 - x239 - x247 - x255 - x263 - x271
        - x279 - x287 - x295 - x303 + x821 =G= 0;

e208..  - x308 - x318 - x328 - x338 - x348 - x358 - x368 - x378 - x388 - x398
        - x408 - x418 - x428 - x438 + x822 =G= 0;

e209..  - x309 - x319 - x329 - x339 - x349 - x359 - x369 - x379 - x389 - x399
        - x409 - x419 - x429 - x439 + x823 =G= 0;

e210..  - x310 - x320 - x330 - x340 - x350 - x360 - x370 - x380 - x390 - x400
        - x410 - x420 - x430 - x440 + x824 =G= 0;

e211..  - x311 - x321 - x331 - x341 - x351 - x361 - x371 - x381 - x391 - x401
        - x411 - x421 - x431 - x441 + x825 =G= 0;

e212..  - x312 - x322 - x332 - x342 - x352 - x362 - x372 - x382 - x392 - x402
        - x412 - x422 - x432 - x442 + x826 =G= 0;

e213..  - x142 - x146 - x150 - x154 - x158 - x162 - x166 - x170 - x174 - x178
        - x182 - x186 - x190 - x194 + x827 =G= 0;

e214..  - x313 - x323 - x333 - x343 - x353 - x363 - x373 - x383 - x393 - x403
        - x413 - x423 - x433 - x443 + x828 =G= 0;

e215..  - x448 - x452 - x456 - x460 - x464 - x468 - x472 - x476 - x480 - x484
        - x488 - x492 - x496 - x500 + x829 =G= 0;

e216..  - x449 - x453 - x457 - x461 - x465 - x469 - x473 - x477 - x481 - x485
        - x489 - x493 - x497 - x501 + x830 =G= 0;

e217..  - x60 - x66 - x72 - x78 - x84 - x90 - x96 - x102 - x108 - x114 - x120
        - x126 - x132 - x138 + x831 =G= 0;

e218..  - x200 - x208 - x216 - x224 - x232 - x240 - x248 - x256 - x264 - x272
        - x280 - x288 - x296 - x304 + x832 =G= 0;

e219..  - x504 - x508 - x512 - x516 - x520 - x524 - x528 - x532 - x536 - x540
        - x544 - x548 - x552 - x556 + x833 =G= 0;

e220..  - x505 - x509 - x513 - x517 - x521 - x525 - x529 - x533 - x537 - x541
        - x545 - x549 - x553 - x557 + x834 =G= 0;

e221..  - x143 - x147 - x151 - x155 - x159 - x163 - x167 - x171 - x175 - x179
        - x183 - x187 - x191 - x195 + x835 =G= 0;

e222..  - x201 - x209 - x217 - x225 - x233 - x241 - x249 - x257 - x265 - x273
        - x281 - x289 - x297 - x305 + x836 =G= 0;

e223..  - x506 - x510 - x514 - x518 - x522 - x526 - x530 - x534 - x538 - x542
        - x546 - x550 - x554 - x558 + x837 =G= 0;

e224..  - x560 - x562 - x564 - x566 - x568 - x570 - x572 - x574 - x576 - x578
        - x580 - x582 - x584 - x586 + x838 =G= 0;

e225..  - x61 - x67 - x73 - x79 - x85 - x91 - x97 - x103 - x109 - x115 - x121
        - x127 - x133 - x139 + x839 =G= 0;

e226..  - x202 - x210 - x218 - x226 - x234 - x242 - x250 - x258 - x266 - x274
        - x282 - x290 - x298 - x306 + x840 =G= 0;

e227..  - x588 - x594 - x600 - x606 - x612 - x618 - x624 - x630 - x636 - x642
        - x648 - x654 - x660 - x666 + x841 =G= 0;

e228..  - x589 - x595 - x601 - x607 - x613 - x619 - x625 - x631 - x637 - x643
        - x649 - x655 - x661 - x667 + x842 =G= 0;

e229..  - x590 - x596 - x602 - x608 - x614 - x620 - x626 - x632 - x638 - x644
        - x650 - x656 - x662 - x668 + x843 =G= 0;

e230..  - x314 - x324 - x334 - x344 - x354 - x364 - x374 - x384 - x394 - x404
        - x414 - x424 - x434 - x444 + x844 =G= 0;

e231..  - x450 - x454 - x458 - x462 - x466 - x470 - x474 - x478 - x482 - x486
        - x490 - x494 - x498 - x502 + x845 =G= 0;

e232..  - x672 - x674 - x676 - x678 - x680 - x682 - x684 - x686 - x688 - x690
        - x692 - x694 - x696 - x698 + x846 =G= 0;

e233..  - x591 - x597 - x603 - x609 - x615 - x621 - x627 - x633 - x639 - x645
        - x651 - x657 - x663 - x669 + x847 =G= 0;

e234..  - x700 - x702 - x704 - x706 - x708 - x710 - x712 - x714 - x716 - x718
        - x720 - x722 - x724 - x726 + x848 =G= 0;

e235..  - x203 - x211 - x219 - x227 - x235 - x243 - x251 - x259 - x267 - x275
        - x283 - x291 - x299 - x307 + x849 =G= 0;

e236..  - x315 - x325 - x335 - x345 - x355 - x365 - x375 - x385 - x395 - x405
        - x415 - x425 - x435 - x445 + x850 =G= 0;

e237..  - x592 - x598 - x604 - x610 - x616 - x622 - x628 - x634 - x640 - x646
        - x652 - x658 - x664 - x670 + x851 =G= 0;

e238..  - x673 - x675 - x677 - x679 - x681 - x683 - x685 - x687 - x689 - x691
        - x693 - x695 - x697 - x699 + x852 =G= 0;

e239..  - x701 - x703 - x705 - x707 - x709 - x711 - x713 - x715 - x717 - x719
        - x721 - x723 - x725 - x727 + x853 =G= 0;

e240..  - x728 - x730 - x732 - x734 - x736 - x738 - x740 - x742 - x744 - x746
        - x748 - x750 - x752 - x754 + x854 =G= 0;

e241..  - x451 - x455 - x459 - x463 - x467 - x471 - x475 - x479 - x483 - x487
        - x491 - x495 - x499 - x503 + x855 =G= 0;

e242..  - x561 - x563 - x565 - x567 - x569 - x571 - x573 - x575 - x577 - x579
        - x581 - x583 - x585 - x587 + x856 =G= 0;

e243..  - x756 - x758 - x760 - x762 - x764 - x766 - x768 - x770 - x772 - x774
        - x776 - x778 - x780 - x782 + x857 =G= 0;

e244..  - x316 - x326 - x336 - x346 - x356 - x366 - x376 - x386 - x396 - x406
        - x416 - x426 - x436 - x446 + x858 =G= 0;

e245..  - x784 - x786 - x788 - x790 - x792 - x794 - x796 - x798 - x800 - x802
        - x804 - x806 - x808 - x810 + x859 =G= 0;

e246..  - x317 - x327 - x337 - x347 - x357 - x367 - x377 - x387 - x397 - x407
        - x417 - x427 - x437 - x447 + x860 =G= 0;

e247..  - x507 - x511 - x515 - x519 - x523 - x527 - x531 - x535 - x539 - x543
        - x547 - x551 - x555 - x559 + x861 =G= 0;

e248..  - x593 - x599 - x605 - x611 - x617 - x623 - x629 - x635 - x641 - x647
        - x653 - x659 - x665 - x671 + x862 =G= 0;

e249..  - x729 - x731 - x733 - x735 - x737 - x739 - x741 - x743 - x745 - x747
        - x749 - x751 - x753 - x755 + x863 =G= 0;

e250..  - x757 - x759 - x761 - x763 - x765 - x767 - x769 - x771 - x773 - x775
        - x777 - x779 - x781 - x783 + x864 =G= 0;

e251..  - x785 - x787 - x789 - x791 - x793 - x795 - x797 - x799 - x801 - x803
        - x805 - x807 - x809 - x811 + x865 =G= 0;

e252..    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 =L= 10632;

e253..  - 266*b2 + x56 + x62 + x68 + x74 + x80 + x86 + x92 + x98 + x104 + x110
        + x116 + x122 + x128 + x134 =L= 0;

e254..  - 330*b3 + x57 + x63 + x69 + x75 + x81 + x87 + x93 + x99 + x105 + x111
        + x117 + x123 + x129 + x135 =L= 0;

e255..  - 116*b4 + x58 + x64 + x70 + x76 + x82 + x88 + x94 + x100 + x106 + x112
        + x118 + x124 + x130 + x136 =L= 0;

e256..  - 266*b5 + x59 + x65 + x71 + x77 + x83 + x89 + x95 + x101 + x107 + x113
        + x119 + x125 + x131 + x137 =L= 0;

e257..  - 425*b6 + x140 + x144 + x148 + x152 + x156 + x160 + x164 + x168 + x172
        + x176 + x180 + x184 + x188 + x192 =L= 0;

e258..  - 359*b7 + x141 + x145 + x149 + x153 + x157 + x161 + x165 + x169 + x173
        + x177 + x181 + x185 + x189 + x193 =L= 0;

e259..  - 406*b8 + x196 + x204 + x212 + x220 + x228 + x236 + x244 + x252 + x260
        + x268 + x276 + x284 + x292 + x300 =L= 0;

e260..  - 223*b9 + x197 + x205 + x213 + x221 + x229 + x237 + x245 + x253 + x261
        + x269 + x277 + x285 + x293 + x301 =L= 0;

e261..  - 248*b10 + x198 + x206 + x214 + x222 + x230 + x238 + x246 + x254
        + x262 + x270 + x278 + x286 + x294 + x302 =L= 0;

e262..  - 363*b11 + x199 + x207 + x215 + x223 + x231 + x239 + x247 + x255
        + x263 + x271 + x279 + x287 + x295 + x303 =L= 0;

e263..  - 227*b12 + x308 + x318 + x328 + x338 + x348 + x358 + x368 + x378
        + x388 + x398 + x408 + x418 + x428 + x438 =L= 0;

e264..  - 437*b13 + x309 + x319 + x329 + x339 + x349 + x359 + x369 + x379
        + x389 + x399 + x409 + x419 + x429 + x439 =L= 0;

e265..  - 283*b14 + x310 + x320 + x330 + x340 + x350 + x360 + x370 + x380
        + x390 + x400 + x410 + x420 + x430 + x440 =L= 0;

e266..  - 419*b15 + x311 + x321 + x331 + x341 + x351 + x361 + x371 + x381
        + x391 + x401 + x411 + x421 + x431 + x441 =L= 0;

e267..  - 377*b16 + x312 + x322 + x332 + x342 + x352 + x362 + x372 + x382
        + x392 + x402 + x412 + x422 + x432 + x442 =L= 0;

e268..  - 425*b17 + x142 + x146 + x150 + x154 + x158 + x162 + x166 + x170
        + x174 + x178 + x182 + x186 + x190 + x194 =L= 0;

e269..  - 227*b18 + x313 + x323 + x333 + x343 + x353 + x363 + x373 + x383
        + x393 + x403 + x413 + x423 + x433 + x443 =L= 0;

e270..  - 428*b19 + x448 + x452 + x456 + x460 + x464 + x468 + x472 + x476
        + x480 + x484 + x488 + x492 + x496 + x500 =L= 0;

e271..  - 252*b20 + x449 + x453 + x457 + x461 + x465 + x469 + x473 + x477
        + x481 + x485 + x489 + x493 + x497 + x501 =L= 0;

e272..  - 330*b21 + x60 + x66 + x72 + x78 + x84 + x90 + x96 + x102 + x108
        + x114 + x120 + x126 + x132 + x138 =L= 0;

e273..  - 406*b22 + x200 + x208 + x216 + x224 + x232 + x240 + x248 + x256
        + x264 + x272 + x280 + x288 + x296 + x304 =L= 0;

e274..  - 256*b23 + x504 + x508 + x512 + x516 + x520 + x524 + x528 + x532
        + x536 + x540 + x544 + x548 + x552 + x556 =L= 0;

e275..  - 413*b24 + x505 + x509 + x513 + x517 + x521 + x525 + x529 + x533
        + x537 + x541 + x545 + x549 + x553 + x557 =L= 0;

e276..  - 359*b25 + x143 + x147 + x151 + x155 + x159 + x163 + x167 + x171
        + x175 + x179 + x183 + x187 + x191 + x195 =L= 0;

e277..  - 223*b26 + x201 + x209 + x217 + x225 + x233 + x241 + x249 + x257
        + x265 + x273 + x281 + x289 + x297 + x305 =L= 0;

e278..  - 256*b27 + x506 + x510 + x514 + x518 + x522 + x526 + x530 + x534
        + x538 + x542 + x546 + x550 + x554 + x558 =L= 0;

e279..  - 391*b28 + x560 + x562 + x564 + x566 + x568 + x570 + x572 + x574
        + x576 + x578 + x580 + x582 + x584 + x586 =L= 0;

e280..  - 116*b29 + x61 + x67 + x73 + x79 + x85 + x91 + x97 + x103 + x109
        + x115 + x121 + x127 + x133 + x139 =L= 0;

e281..  - 248*b30 + x202 + x210 + x218 + x226 + x234 + x242 + x250 + x258
        + x266 + x274 + x282 + x290 + x298 + x306 =L= 0;

e282..  - 260*b31 + x588 + x594 + x600 + x606 + x612 + x618 + x624 + x630
        + x636 + x642 + x648 + x654 + x660 + x666 =L= 0;

e283..  - 143*b32 + x589 + x595 + x601 + x607 + x613 + x619 + x625 + x631
        + x637 + x643 + x649 + x655 + x661 + x667 =L= 0;

e284..  - 109*b33 + x590 + x596 + x602 + x608 + x614 + x620 + x626 + x632
        + x638 + x644 + x650 + x656 + x662 + x668 =L= 0;

e285..  - 437*b34 + x314 + x324 + x334 + x344 + x354 + x364 + x374 + x384
        + x394 + x404 + x414 + x424 + x434 + x444 =L= 0;

e286..  - 428*b35 + x450 + x454 + x458 + x462 + x466 + x470 + x474 + x478
        + x482 + x486 + x490 + x494 + x498 + x502 =L= 0;

e287..  - 398*b36 + x672 + x674 + x676 + x678 + x680 + x682 + x684 + x686
        + x688 + x690 + x692 + x694 + x696 + x698 =L= 0;

e288..  - 260*b37 + x591 + x597 + x603 + x609 + x615 + x621 + x627 + x633
        + x639 + x645 + x651 + x657 + x663 + x669 =L= 0;

e289..  - 134*b38 + x700 + x702 + x704 + x706 + x708 + x710 + x712 + x714
        + x716 + x718 + x720 + x722 + x724 + x726 =L= 0;

e290..  - 363*b39 + x203 + x211 + x219 + x227 + x235 + x243 + x251 + x259
        + x267 + x275 + x283 + x291 + x299 + x307 =L= 0;

e291..  - 283*b40 + x315 + x325 + x335 + x345 + x355 + x365 + x375 + x385
        + x395 + x405 + x415 + x425 + x435 + x445 =L= 0;

e292..  - 143*b41 + x592 + x598 + x604 + x610 + x616 + x622 + x628 + x634
        + x640 + x646 + x652 + x658 + x664 + x670 =L= 0;

e293..  - 398*b42 + x673 + x675 + x677 + x679 + x681 + x683 + x685 + x687
        + x689 + x691 + x693 + x695 + x697 + x699 =L= 0;

e294..  - 134*b43 + x701 + x703 + x705 + x707 + x709 + x711 + x713 + x715
        + x717 + x719 + x721 + x723 + x725 + x727 =L= 0;

e295..  - 314*b44 + x728 + x730 + x732 + x734 + x736 + x738 + x740 + x742
        + x744 + x746 + x748 + x750 + x752 + x754 =L= 0;

e296..  - 252*b45 + x451 + x455 + x459 + x463 + x467 + x471 + x475 + x479
        + x483 + x487 + x491 + x495 + x499 + x503 =L= 0;

e297..  - 391*b46 + x561 + x563 + x565 + x567 + x569 + x571 + x573 + x575
        + x577 + x579 + x581 + x583 + x585 + x587 =L= 0;

e298..  - 366*b47 + x756 + x758 + x760 + x762 + x764 + x766 + x768 + x770
        + x772 + x774 + x776 + x778 + x780 + x782 =L= 0;

e299..  - 419*b48 + x316 + x326 + x336 + x346 + x356 + x366 + x376 + x386
        + x396 + x406 + x416 + x426 + x436 + x446 =L= 0;

e300..  - 179*b49 + x784 + x786 + x788 + x790 + x792 + x794 + x796 + x798
        + x800 + x802 + x804 + x806 + x808 + x810 =L= 0;

e301..  - 377*b50 + x317 + x327 + x337 + x347 + x357 + x367 + x377 + x387
        + x397 + x407 + x417 + x427 + x437 + x447 =L= 0;

e302..  - 413*b51 + x507 + x511 + x515 + x519 + x523 + x527 + x531 + x535
        + x539 + x543 + x547 + x551 + x555 + x559 =L= 0;

e303..  - 109*b52 + x593 + x599 + x605 + x611 + x617 + x623 + x629 + x635
        + x641 + x647 + x653 + x659 + x665 + x671 =L= 0;

e304..  - 314*b53 + x729 + x731 + x733 + x735 + x737 + x739 + x741 + x743
        + x745 + x747 + x749 + x751 + x753 + x755 =L= 0;

e305..  - 366*b54 + x757 + x759 + x761 + x763 + x765 + x767 + x769 + x771
        + x773 + x775 + x777 + x779 + x781 + x783 =L= 0;

e306..  - 179*b55 + x785 + x787 + x789 + x791 + x793 + x795 + x797 + x799
        + x801 + x803 + x805 + x807 + x809 + x811 =L= 0;

e307.. 266*x812*b2 - 266*x866*b2 + x866*x812 =L= 0;

e308.. 330*x813*b3 - 330*x867*b3 + x867*x813 =L= 0;

e309.. 116*x814*b4 - 116*x868*b4 + x868*x814 =L= 0;

e310.. 266*x815*b5 - 266*x869*b5 + x869*x815 =L= 0;

e311.. 425*x816*b6 - 425*x870*b6 + x870*x816 =L= 0;

e312.. 359*x817*b7 - 359*x871*b7 + x871*x817 =L= 0;

e313.. 406*x818*b8 - 406*x872*b8 + x872*x818 =L= 0;

e314.. 223*x819*b9 - 223*x873*b9 + x873*x819 =L= 0;

e315.. 248*x820*b10 - 248*x874*b10 + x874*x820 =L= 0;

e316.. 363*x821*b11 - 363*x875*b11 + x875*x821 =L= 0;

e317.. 227*x822*b12 - 227*x876*b12 + x876*x822 =L= 0;

e318.. 437*x823*b13 - 437*x877*b13 + x877*x823 =L= 0;

e319.. 283*x824*b14 - 283*x878*b14 + x878*x824 =L= 0;

e320.. 419*x825*b15 - 419*x879*b15 + x879*x825 =L= 0;

e321.. 377*x826*b16 - 377*x880*b16 + x880*x826 =L= 0;

e322.. 425*x827*b17 - 425*x881*b17 + x881*x827 =L= 0;

e323.. 227*x828*b18 - 227*x882*b18 + x882*x828 =L= 0;

e324.. 428*x829*b19 - 428*x883*b19 + x883*x829 =L= 0;

e325.. 252*x830*b20 - 252*x884*b20 + x884*x830 =L= 0;

e326.. 330*x831*b21 - 330*x885*b21 + x885*x831 =L= 0;

e327.. 406*x832*b22 - 406*x886*b22 + x886*x832 =L= 0;

e328.. 256*x833*b23 - 256*x887*b23 + x887*x833 =L= 0;

e329.. 413*x834*b24 - 413*x888*b24 + x888*x834 =L= 0;

e330.. 359*x835*b25 - 359*x889*b25 + x889*x835 =L= 0;

e331.. 223*x836*b26 - 223*x890*b26 + x890*x836 =L= 0;

e332.. 256*x837*b27 - 256*x891*b27 + x891*x837 =L= 0;

e333.. 391*x838*b28 - 391*x892*b28 + x892*x838 =L= 0;

e334.. 116*x839*b29 - 116*x893*b29 + x893*x839 =L= 0;

e335.. 248*x840*b30 - 248*x894*b30 + x894*x840 =L= 0;

e336.. 260*x841*b31 - 260*x895*b31 + x895*x841 =L= 0;

e337.. 143*x842*b32 - 143*x896*b32 + x896*x842 =L= 0;

e338.. 109*x843*b33 - 109*x897*b33 + x897*x843 =L= 0;

e339.. 437*x844*b34 - 437*x898*b34 + x898*x844 =L= 0;

e340.. 428*x845*b35 - 428*x899*b35 + x899*x845 =L= 0;

e341.. 398*x846*b36 - 398*x900*b36 + x900*x846 =L= 0;

e342.. 260*x847*b37 - 260*x901*b37 + x901*x847 =L= 0;

e343.. 134*x848*b38 - 134*x902*b38 + x902*x848 =L= 0;

e344.. 363*x849*b39 - 363*x903*b39 + x903*x849 =L= 0;

e345.. 283*x850*b40 - 283*x904*b40 + x904*x850 =L= 0;

e346.. 143*x851*b41 - 143*x905*b41 + x905*x851 =L= 0;

e347.. 398*x852*b42 - 398*x906*b42 + x906*x852 =L= 0;

e348.. 134*x853*b43 - 134*x907*b43 + x907*x853 =L= 0;

e349.. 314*x854*b44 - 314*x908*b44 + x908*x854 =L= 0;

e350.. 252*x855*b45 - 252*x909*b45 + x909*x855 =L= 0;

e351.. 391*x856*b46 - 391*x910*b46 + x910*x856 =L= 0;

e352.. 366*x857*b47 - 366*x911*b47 + x911*x857 =L= 0;

e353.. 419*x858*b48 - 419*x912*b48 + x912*x858 =L= 0;

e354.. 179*x859*b49 - 179*x913*b49 + x913*x859 =L= 0;

e355.. 377*x860*b50 - 377*x914*b50 + x914*x860 =L= 0;

e356.. 413*x861*b51 - 413*x915*b51 + x915*x861 =L= 0;

e357.. 109*x862*b52 - 109*x916*b52 + x916*x862 =L= 0;

e358.. 314*x863*b53 - 314*x917*b53 + x917*x863 =L= 0;

e359.. 366*x864*b54 - 366*x918*b54 + x918*x864 =L= 0;

e360.. 179*x865*b55 - 179*x919*b55 + x919*x865 =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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