MINLPLib
A Library of Mixed-Integer and Continuous Nonlinear Programming Instances
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Instance squfl025-030
Separable quadratic uncapacitated facility location problem. A set of customers, each having unit demand, has to be satisfied by open facilities. The objective is to minimize the sum of the fixed cost for operating facilities and the shipping cost which is proportional to the square of the quantity delivered to each customer.
| Formatsⓘ | ams gms lp mod nl osil pip py |
| Primal Bounds (infeas ≤ 1e-08)ⓘ | |
| Other points (infeas > 1e-08)ⓘ | |
| Dual Boundsⓘ | -440.90868550 (ALPHAECP) 205.49997050 (ANTIGONE) 205.50165490 (BARON) 205.50165450 (BONMIN) 205.50156320 (COUENNE) 205.50165510 (CPLEX) 205.50165510 (GUROBI) 205.50165510 (LINDO) 205.50165430 (SCIP) 205.50165510 (SHOT) |
| Referencesⓘ | Günlük, Oktay, Lee, Jon, and Weismantel, Robert, MINLP Strengthening for Separable Convex Quadratic Transportation-Cost UFL, Tech. Rep. RC24213, IBM Research, 2007. 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. |
| Applicationⓘ | Facility Location |
| Added to libraryⓘ | 24 Feb 2014 |
| Problem typeⓘ | MBQP |
| #Variablesⓘ | 775 |
| #Binary Variablesⓘ | 25 |
| #Integer Variablesⓘ | 0 |
| #Nonlinear Variablesⓘ | 750 |
| #Nonlinear Binary Variablesⓘ | 0 |
| #Nonlinear Integer Variablesⓘ | 0 |
| Objective Senseⓘ | min |
| Objective typeⓘ | quadratic |
| Objective curvatureⓘ | convex |
| #Nonzeros in Objectiveⓘ | 775 |
| #Nonlinear Nonzeros in Objectiveⓘ | 750 |
| #Constraintsⓘ | 780 |
| #Linear Constraintsⓘ | 780 |
| #Quadratic Constraintsⓘ | 0 |
| #Polynomial Constraintsⓘ | 0 |
| #Signomial Constraintsⓘ | 0 |
| #General Nonlinear Constraintsⓘ | 0 |
| Operands in Gen. Nonlin. Functionsⓘ | |
| Constraints curvatureⓘ | linear |
| #Nonzeros in Jacobianⓘ | 2250 |
| #Nonlinear Nonzeros in Jacobianⓘ | 0 |
| #Nonzeros in (Upper-Left) Hessian of Lagrangianⓘ | 750 |
| #Nonzeros in Diagonal of Hessian of Lagrangianⓘ | 750 |
| #Blocks in Hessian of Lagrangianⓘ | 750 |
| Minimal blocksize in Hessian of Lagrangianⓘ | 1 |
| Maximal blocksize in Hessian of Lagrangianⓘ | 1 |
| Average blocksize in Hessian of Lagrangianⓘ | 1.0 |
| #Semicontinuitiesⓘ | 0 |
| #Nonlinear Semicontinuitiesⓘ | 0 |
| #SOS type 1ⓘ | 0 |
| #SOS type 2ⓘ | 0 |
| Minimal coefficientⓘ | 1.0000e+00 |
| Maximal coefficientⓘ | 9.5000e+01 |
| Infeasibility of initial pointⓘ | 1 |
| Sparsity Jacobianⓘ | ![]() |
| Sparsity Hessian of Lagrangianⓘ | ![]() |
$offlisting
*
* Equation counts
* Total E G L N X C B
* 781 31 0 750 0 0 0 0
*
* Variable counts
* x b i s1s s2s sc si
* Total cont binary integer sos1 sos2 scont sint
* 776 751 25 0 0 0 0 0
* FX 0
*
* Nonzero counts
* Total const NL DLL
* 3026 2276 750 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,b751,b752,b753
,b754,b755,b756,b757,b758,b759,b760,b761,b762,b763,b764,b765,b766
,b767,b768,b769,b770,b771,b772,b773,b774,b775,objvar;
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;
Binary Variables b751,b752,b753,b754,b755,b756,b757,b758,b759,b760,b761,b762
,b763,b764,b765,b766,b767,b768,b769,b770,b771,b772,b773,b774,b775;
Equations e1,e2,e3,e4,e5,e6,e7,e8,e9,e10,e11,e12,e13,e14,e15,e16,e17,e18,e19
,e20,e21,e22,e23,e24,e25,e26,e27,e28,e29,e30,e31,e32,e33,e34,e35,e36
,e37,e38,e39,e40,e41,e42,e43,e44,e45,e46,e47,e48,e49,e50,e51,e52,e53
,e54,e55,e56,e57,e58,e59,e60,e61,e62,e63,e64,e65,e66,e67,e68,e69,e70
,e71,e72,e73,e74,e75,e76,e77,e78,e79,e80,e81,e82,e83,e84,e85,e86,e87
,e88,e89,e90,e91,e92,e93,e94,e95,e96,e97,e98,e99,e100,e101,e102,e103
,e104,e105,e106,e107,e108,e109,e110,e111,e112,e113,e114,e115,e116
,e117,e118,e119,e120,e121,e122,e123,e124,e125,e126,e127,e128,e129
,e130,e131,e132,e133,e134,e135,e136,e137,e138,e139,e140,e141,e142
,e143,e144,e145,e146,e147,e148,e149,e150,e151,e152,e153,e154,e155
,e156,e157,e158,e159,e160,e161,e162,e163,e164,e165,e166,e167,e168
,e169,e170,e171,e172,e173,e174,e175,e176,e177,e178,e179,e180,e181
,e182,e183,e184,e185,e186,e187,e188,e189,e190,e191,e192,e193,e194
,e195,e196,e197,e198,e199,e200,e201,e202,e203,e204,e205,e206,e207
,e208,e209,e210,e211,e212,e213,e214,e215,e216,e217,e218,e219,e220
,e221,e222,e223,e224,e225,e226,e227,e228,e229,e230,e231,e232,e233
,e234,e235,e236,e237,e238,e239,e240,e241,e242,e243,e244,e245,e246
,e247,e248,e249,e250,e251,e252,e253,e254,e255,e256,e257,e258,e259
,e260,e261,e262,e263,e264,e265,e266,e267,e268,e269,e270,e271,e272
,e273,e274,e275,e276,e277,e278,e279,e280,e281,e282,e283,e284,e285
,e286,e287,e288,e289,e290,e291,e292,e293,e294,e295,e296,e297,e298
,e299,e300,e301,e302,e303,e304,e305,e306,e307,e308,e309,e310,e311
,e312,e313,e314,e315,e316,e317,e318,e319,e320,e321,e322,e323,e324
,e325,e326,e327,e328,e329,e330,e331,e332,e333,e334,e335,e336,e337
,e338,e339,e340,e341,e342,e343,e344,e345,e346,e347,e348,e349,e350
,e351,e352,e353,e354,e355,e356,e357,e358,e359,e360,e361,e362,e363
,e364,e365,e366,e367,e368,e369,e370,e371,e372,e373,e374,e375,e376
,e377,e378,e379,e380,e381,e382,e383,e384,e385,e386,e387,e388,e389
,e390,e391,e392,e393,e394,e395,e396,e397,e398,e399,e400,e401,e402
,e403,e404,e405,e406,e407,e408,e409,e410,e411,e412,e413,e414,e415
,e416,e417,e418,e419,e420,e421,e422,e423,e424,e425,e426,e427,e428
,e429,e430,e431,e432,e433,e434,e435,e436,e437,e438,e439,e440,e441
,e442,e443,e444,e445,e446,e447,e448,e449,e450,e451,e452,e453,e454
,e455,e456,e457,e458,e459,e460,e461,e462,e463,e464,e465,e466,e467
,e468,e469,e470,e471,e472,e473,e474,e475,e476,e477,e478,e479,e480
,e481,e482,e483,e484,e485,e486,e487,e488,e489,e490,e491,e492,e493
,e494,e495,e496,e497,e498,e499,e500,e501,e502,e503,e504,e505,e506
,e507,e508,e509,e510,e511,e512,e513,e514,e515,e516,e517,e518,e519
,e520,e521,e522,e523,e524,e525,e526,e527,e528,e529,e530,e531,e532
,e533,e534,e535,e536,e537,e538,e539,e540,e541,e542,e543,e544,e545
,e546,e547,e548,e549,e550,e551,e552,e553,e554,e555,e556,e557,e558
,e559,e560,e561,e562,e563,e564,e565,e566,e567,e568,e569,e570,e571
,e572,e573,e574,e575,e576,e577,e578,e579,e580,e581,e582,e583,e584
,e585,e586,e587,e588,e589,e590,e591,e592,e593,e594,e595,e596,e597
,e598,e599,e600,e601,e602,e603,e604,e605,e606,e607,e608,e609,e610
,e611,e612,e613,e614,e615,e616,e617,e618,e619,e620,e621,e622,e623
,e624,e625,e626,e627,e628,e629,e630,e631,e632,e633,e634,e635,e636
,e637,e638,e639,e640,e641,e642,e643,e644,e645,e646,e647,e648,e649
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x499*x499 + 29.848391142444*x500*x500 + 44.5812611407166*x501*x501 +
28.2996878120952*x502*x502 + 15.0205420065468*x503*x503 + 28.3381677071336
*x504*x504 + 34.1983852189456*x505*x505 + 44.0322010839411*x506*x506 +
36.2843382459896*x507*x507 + 34.1797667547477*x508*x508 + 34.7981905419762
*x509*x509 + 24.0527082723101*x510*x510 + 8.28592367130584*x511*x511 +
26.4447874463389*x512*x512 + 17.6363298388256*x513*x513 + 8.67848641850581
*x514*x514 + 11.7735119523803*x515*x515 + 5.69420841681625*x516*x516 +
8.71555122034288*x517*x517 + 18.3257034169991*x518*x518 + 9.23331870462887
*x519*x519 + 18.3241276900816*x520*x520 + 15.3444147379794*x521*x521 +
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*x524*x524 + 12.5223055242099*x525*x525 + 23.4357270194551*x526*x526 +
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19.080635619789*x537*x537 + 19.293730028994*x538*x538 + 22.7646472584698*
x539*x539 + 7.86647469518834*x540*x540 + 18.9731517529637*x541*x541 +
16.1776728729996*x542*x542 + 28.4593408954608*x543*x543 + 3.3095516848369*
x544*x544 + 18.6874120324913*x545*x545 + 13.578777023883*x546*x546 +
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*x549*x549 + 29.2580789901584*x550*x550 + 11.220192732724*x551*x551 +
24.8853113966145*x552*x552 + 14.4455772477559*x553*x553 + 32.1666591748206
*x554*x554 + 23.2573129328978*x555*x555 + 31.0516711096353*x556*x556 +
14.3795245210595*x557*x557 + 9.40980695578462*x558*x558 + 14.9394366045701
*x559*x559 + 25.1239563975232*x560*x560 + 20.3538543100716*x561*x561 +
11.7673384021408*x562*x562 + 36.7518620982772*x563*x563 + 16.2942073429097
*x564*x564 + 11.1177747012936*x565*x565 + 18.5945452014636*x566*x566 +
9.82383139632112*x567*x567 + 12.9015353501658*x568*x568 + 18.3960828732621
*x569*x569 + 7.7879417121913*x570*x570 + 11.7353201843008*x571*x571 +
33.6850922572894*x572*x572 + 20.1828233435365*x573*x573 + 22.8681353949833
*x574*x574 + 4.67272959392294*x575*x575 + 10.6724367751029*x576*x576 +
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*x579*x579 + 18.3240005550037*x580*x580 + 31.2159168708299*x581*x581 +
8.11060775706007*x582*x582 + 10.9682908333941*x583*x583 + 16.3692424308044
*x584*x584 + 12.071491092144*x585*x585 + 7.74638814645185*x586*x586 +
26.7805928562568*x587*x587 + 15.7070725026398*x588*x588 + 16.1796023850369
*x589*x589 + 35.282138189488*x590*x590 + 32.4055283842417*x591*x591 +
27.7460384562459*x592*x592 + 13.7004031495445*x593*x593 + 30.0176004151949
*x594*x594 + 23.062663269775*x595*x595 + 41.1011471691521*x596*x596 +
26.1387242635779*x597*x597 + 22.38683009414*x598*x598 + 21.4438824631463*
x599*x599 + 15.6283653672042*x600*x600 + 5.10799882651629*x601*x601 +
33.2123679160553*x602*x602 + 10.9897666850579*x603*x603 + 14.8058400095498
*x604*x604 + 13.4516948724503*x605*x605 + 9.1768757306802*x606*x606 +
3.18576567718112*x607*x607 + 16.4280412890779*x608*x608 + 8.72209500969394
*x609*x609 + 12.0761910386326*x610*x610 + 19.1030581209256*x611*x611 +
12.0836129436465*x612*x612 + 7.55953804385921*x613*x613 + 16.1661180017097
*x614*x614 + 7.91814975722093*x615*x615 + 22.5544833011904*x616*x616 +
29.2037210162222*x617*x617 + 17.4318321456917*x618*x618 + 2.59271426978956
*x619*x619 + 18.6754601273655*x620*x620 + 35.6816232409766*x621*x621 +
14.1728996375715*x622*x622 + 26.0174249980294*x623*x623 + 14.7139086263446
*x624*x624 + 25.0116890464957*x625*x625 + 29.9051732452576*x626*x626 +
25.8555497621356*x627*x627 + 25.7646277491852*x628*x628 + 28.6564334857383
*x629*x629 + 14.272982098542*x630*x630 + 5.86694688938865*x631*x631 +
33.9303249290041*x632*x632 + 10.4694183160425*x633*x633 + 15.3177621382972
*x634*x634 + 14.4119251267551*x635*x635 + 10.1849786680251*x636*x636 +
3.58142902143882*x637*x637 + 17.0567707563519*x638*x638 + 8.35985323448915
*x639*x639 + 11.781113870454*x640*x640 + 19.1362635118971*x641*x641 +
12.6313879672983*x642*x642 + 8.56990164415238*x643*x643 + 16.1685383563754
*x644*x644 + 8.24781300382474*x645*x645 + 23.2588184860202*x646*x646 +
30.0557875922803*x647*x647 + 18.3662355708999*x648*x648 + 3.40027525677428
*x649*x649 + 17.8873536724523*x650*x650 + 36.5306864218206*x651*x651 +
14.0975808340277*x652*x652 + 26.5424261748064*x653*x653 + 14.326867605996*
x654*x654 + 25.8766539692379*x655*x655 + 29.9315352111411*x656*x656 +
26.6329732467323*x657*x657 + 26.6663597186478*x658*x658 + 29.6282202306128
*x659*x659 + 15.1702805924435*x660*x660 + 10.1777410414117*x661*x661 +
36.9740024541327*x662*x662 + 9.84813866064672*x663*x663 + 17.7354524270979
*x664*x664 + 19.0263280820462*x665*x665 + 14.7806759019531*x666*x666 +
7.44843135837787*x667*x667 + 20.7514990015528*x668*x668 + 7.59106842629758
*x669*x669 + 12.1619231970562*x670*x670 + 19.3250530390351*x671*x671 +
16.1663921443928*x672*x672 + 13.203093159871*x673*x673 + 17.5862634142262*
x674*x674 + 11.3459882430451*x675*x675 + 27.1337029851324*x676*x676 +
33.7588687981517*x677*x677 + 22.5313297778896*x678*x678 + 7.59976649923734
*x679*x679 + 14.1341213749098*x680*x680 + 40.1929480152519*x681*x681 +
14.0364354250589*x682*x682 + 29.7705191922657*x683*x683 + 12.7594671643791
*x684*x684 + 29.6638295299808*x685*x685 + 29.8406029954592*x686*x686 +
30.0045241486068*x687*x687 + 30.6279184036146*x688*x688 + 33.9499974185215
*x689*x689 + 19.1941356013651*x690*x690 + 23.878166033769*x691*x691 +
16.3145042618693*x692*x692 + 35.0151727494396*x693*x693 + 18.5632158990642
*x694*x694 + 16.8231241209044*x695*x695 + 17.0497909074558*x696*x696 +
26.177963296198*x697*x697 + 25.3239768035927*x698*x698 + 28.3955603430587*
x699*x699 + 34.3851761239515*x700*x700 + 27.3438355316125*x701*x701 +
25.7271497101251*x702*x702 + 18.776536458324*x703*x703 + 34.5421256126406*
x704*x704 + 27.1976984952636*x705*x705 + 25.5642840399931*x706*x706 +
8.55726815423165*x707*x707 + 8.79207402385651*x708*x708 + 23.6050090259957
*x709*x709 + 39.7953348076604*x710*x710 + 13.1892430731899*x711*x711 +
27.2226193755001*x712*x712 + 32.0226386278081*x713*x713 + 31.4735138377183
*x714*x714 + 6.77808197783998*x715*x715 + 33.3211994967066*x716*x716 +
10.7008996439779*x717*x717 + 4.85336796869239*x718*x718 + 2.76908658928855
*x719*x719 + 12.2681616830592*x720*x720 + 21.4358370191969*x721*x721 +
48.8752523934618*x722*x722 + 22.4462571519518*x723*x723 + 36.8880530254778
*x724*x724 + 19.4337689804688*x725*x725 + 24.4197393042066*x726*x726 +
23.0362709684901*x727*x727 + 10.6616381006513*x728*x728 + 34.8862053021249
*x729*x729 + 19.4622250583701*x730*x730 + 44.182631765882*x731*x731 +
14.1938228610152*x732*x732 + 23.9421244236121*x733*x733 + 13.8016214129071
*x734*x734 + 18.4009797107305*x735*x735 + 8.48652114924847*x736*x736 +
41.8171098766352*x737*x737 + 30.9014562236686*x738*x738 + 27.0834131656817
*x739*x739 + 43.6231480684723*x740*x740 + 47.1493830581901*x741*x741 +
39.8456209101086*x742*x742 + 2.40286135542742*x743*x743 + 40.8781357585483
*x744*x744 + 38.2242648203077*x745*x745 + 54.6809475025648*x746*x746 +
41.3575608163468*x747*x747 + 37.4264337701811*x748*x748 + 35.6780690968736
*x749*x749 + 30.494377727085*x750*x750) - 35*b751 - 44*b752 - 91*b753
- 62*b754 - 55*b755 - 85*b756 - 67*b757 - 15*b758 - 86*b759 - 84*b760
- 80*b761 - 31*b762 - 69*b763 - 2*b764 - 84*b765 - 31*b766 - 49*b767
- 5*b768 - 86*b769 - 75*b770 - 69*b771 - 95*b772 - 90*b773 - 68*b774
- 37*b775 + objvar =E= 0;
e2.. x1 - b751 =L= 0;
e3.. x2 - b751 =L= 0;
e4.. x3 - b751 =L= 0;
e5.. x4 - b751 =L= 0;
e6.. x5 - b751 =L= 0;
e7.. x6 - b751 =L= 0;
e8.. x7 - b751 =L= 0;
e9.. x8 - b751 =L= 0;
e10.. x9 - b751 =L= 0;
e11.. x10 - b751 =L= 0;
e12.. x11 - b751 =L= 0;
e13.. x12 - b751 =L= 0;
e14.. x13 - b751 =L= 0;
e15.. x14 - b751 =L= 0;
e16.. x15 - b751 =L= 0;
e17.. x16 - b751 =L= 0;
e18.. x17 - b751 =L= 0;
e19.. x18 - b751 =L= 0;
e20.. x19 - b751 =L= 0;
e21.. x20 - b751 =L= 0;
e22.. x21 - b751 =L= 0;
e23.. x22 - b751 =L= 0;
e24.. x23 - b751 =L= 0;
e25.. x24 - b751 =L= 0;
e26.. x25 - b751 =L= 0;
e27.. x26 - b751 =L= 0;
e28.. x27 - b751 =L= 0;
e29.. x28 - b751 =L= 0;
e30.. x29 - b751 =L= 0;
e31.. x30 - b751 =L= 0;
e32.. x31 - b752 =L= 0;
e33.. x32 - b752 =L= 0;
e34.. x33 - b752 =L= 0;
e35.. x34 - b752 =L= 0;
e36.. x35 - b752 =L= 0;
e37.. x36 - b752 =L= 0;
e38.. x37 - b752 =L= 0;
e39.. x38 - b752 =L= 0;
e40.. x39 - b752 =L= 0;
e41.. x40 - b752 =L= 0;
e42.. x41 - b752 =L= 0;
e43.. x42 - b752 =L= 0;
e44.. x43 - b752 =L= 0;
e45.. x44 - b752 =L= 0;
e46.. x45 - b752 =L= 0;
e47.. x46 - b752 =L= 0;
e48.. x47 - b752 =L= 0;
e49.. x48 - b752 =L= 0;
e50.. x49 - b752 =L= 0;
e51.. x50 - b752 =L= 0;
e52.. x51 - b752 =L= 0;
e53.. x52 - b752 =L= 0;
e54.. x53 - b752 =L= 0;
e55.. x54 - b752 =L= 0;
e56.. x55 - b752 =L= 0;
e57.. x56 - b752 =L= 0;
e58.. x57 - b752 =L= 0;
e59.. x58 - b752 =L= 0;
e60.. x59 - b752 =L= 0;
e61.. x60 - b752 =L= 0;
e62.. x61 - b753 =L= 0;
e63.. x62 - b753 =L= 0;
e64.. x63 - b753 =L= 0;
e65.. x64 - b753 =L= 0;
e66.. x65 - b753 =L= 0;
e67.. x66 - b753 =L= 0;
e68.. x67 - b753 =L= 0;
e69.. x68 - b753 =L= 0;
e70.. x69 - b753 =L= 0;
e71.. x70 - b753 =L= 0;
e72.. x71 - b753 =L= 0;
e73.. x72 - b753 =L= 0;
e74.. x73 - b753 =L= 0;
e75.. x74 - b753 =L= 0;
e76.. x75 - b753 =L= 0;
e77.. x76 - b753 =L= 0;
e78.. x77 - b753 =L= 0;
e79.. x78 - b753 =L= 0;
e80.. x79 - b753 =L= 0;
e81.. x80 - b753 =L= 0;
e82.. x81 - b753 =L= 0;
e83.. x82 - b753 =L= 0;
e84.. x83 - b753 =L= 0;
e85.. x84 - b753 =L= 0;
e86.. x85 - b753 =L= 0;
e87.. x86 - b753 =L= 0;
e88.. x87 - b753 =L= 0;
e89.. x88 - b753 =L= 0;
e90.. x89 - b753 =L= 0;
e91.. x90 - b753 =L= 0;
e92.. x91 - b754 =L= 0;
e93.. x92 - b754 =L= 0;
e94.. x93 - b754 =L= 0;
e95.. x94 - b754 =L= 0;
e96.. x95 - b754 =L= 0;
e97.. x96 - b754 =L= 0;
e98.. x97 - b754 =L= 0;
e99.. x98 - b754 =L= 0;
e100.. x99 - b754 =L= 0;
e101.. x100 - b754 =L= 0;
e102.. x101 - b754 =L= 0;
e103.. x102 - b754 =L= 0;
e104.. x103 - b754 =L= 0;
e105.. x104 - b754 =L= 0;
e106.. x105 - b754 =L= 0;
e107.. x106 - b754 =L= 0;
e108.. x107 - b754 =L= 0;
e109.. x108 - b754 =L= 0;
e110.. x109 - b754 =L= 0;
e111.. x110 - b754 =L= 0;
e112.. x111 - b754 =L= 0;
e113.. x112 - b754 =L= 0;
e114.. x113 - b754 =L= 0;
e115.. x114 - b754 =L= 0;
e116.. x115 - b754 =L= 0;
e117.. x116 - b754 =L= 0;
e118.. x117 - b754 =L= 0;
e119.. x118 - b754 =L= 0;
e120.. x119 - b754 =L= 0;
e121.. x120 - b754 =L= 0;
e122.. x121 - b755 =L= 0;
e123.. x122 - b755 =L= 0;
e124.. x123 - b755 =L= 0;
e125.. x124 - b755 =L= 0;
e126.. x125 - b755 =L= 0;
e127.. x126 - b755 =L= 0;
e128.. x127 - b755 =L= 0;
e129.. x128 - b755 =L= 0;
e130.. x129 - b755 =L= 0;
e131.. x130 - b755 =L= 0;
e132.. x131 - b755 =L= 0;
e133.. x132 - b755 =L= 0;
e134.. x133 - b755 =L= 0;
e135.. x134 - b755 =L= 0;
e136.. x135 - b755 =L= 0;
e137.. x136 - b755 =L= 0;
e138.. x137 - b755 =L= 0;
e139.. x138 - b755 =L= 0;
e140.. x139 - b755 =L= 0;
e141.. x140 - b755 =L= 0;
e142.. x141 - b755 =L= 0;
e143.. x142 - b755 =L= 0;
e144.. x143 - b755 =L= 0;
e145.. x144 - b755 =L= 0;
e146.. x145 - b755 =L= 0;
e147.. x146 - b755 =L= 0;
e148.. x147 - b755 =L= 0;
e149.. x148 - b755 =L= 0;
e150.. x149 - b755 =L= 0;
e151.. x150 - b755 =L= 0;
e152.. x151 - b756 =L= 0;
e153.. x152 - b756 =L= 0;
e154.. x153 - b756 =L= 0;
e155.. x154 - b756 =L= 0;
e156.. x155 - b756 =L= 0;
e157.. x156 - b756 =L= 0;
e158.. x157 - b756 =L= 0;
e159.. x158 - b756 =L= 0;
e160.. x159 - b756 =L= 0;
e161.. x160 - b756 =L= 0;
e162.. x161 - b756 =L= 0;
e163.. x162 - b756 =L= 0;
e164.. x163 - b756 =L= 0;
e165.. x164 - b756 =L= 0;
e166.. x165 - b756 =L= 0;
e167.. x166 - b756 =L= 0;
e168.. x167 - b756 =L= 0;
e169.. x168 - b756 =L= 0;
e170.. x169 - b756 =L= 0;
e171.. x170 - b756 =L= 0;
e172.. x171 - b756 =L= 0;
e173.. x172 - b756 =L= 0;
e174.. x173 - b756 =L= 0;
e175.. x174 - b756 =L= 0;
e176.. x175 - b756 =L= 0;
e177.. x176 - b756 =L= 0;
e178.. x177 - b756 =L= 0;
e179.. x178 - b756 =L= 0;
e180.. x179 - b756 =L= 0;
e181.. x180 - b756 =L= 0;
e182.. x181 - b757 =L= 0;
e183.. x182 - b757 =L= 0;
e184.. x183 - b757 =L= 0;
e185.. x184 - b757 =L= 0;
e186.. x185 - b757 =L= 0;
e187.. x186 - b757 =L= 0;
e188.. x187 - b757 =L= 0;
e189.. x188 - b757 =L= 0;
e190.. x189 - b757 =L= 0;
e191.. x190 - b757 =L= 0;
e192.. x191 - b757 =L= 0;
e193.. x192 - b757 =L= 0;
e194.. x193 - b757 =L= 0;
e195.. x194 - b757 =L= 0;
e196.. x195 - b757 =L= 0;
e197.. x196 - b757 =L= 0;
e198.. x197 - b757 =L= 0;
e199.. x198 - b757 =L= 0;
e200.. x199 - b757 =L= 0;
e201.. x200 - b757 =L= 0;
e202.. x201 - b757 =L= 0;
e203.. x202 - b757 =L= 0;
e204.. x203 - b757 =L= 0;
e205.. x204 - b757 =L= 0;
e206.. x205 - b757 =L= 0;
e207.. x206 - b757 =L= 0;
e208.. x207 - b757 =L= 0;
e209.. x208 - b757 =L= 0;
e210.. x209 - b757 =L= 0;
e211.. x210 - b757 =L= 0;
e212.. x211 - b758 =L= 0;
e213.. x212 - b758 =L= 0;
e214.. x213 - b758 =L= 0;
e215.. x214 - b758 =L= 0;
e216.. x215 - b758 =L= 0;
e217.. x216 - b758 =L= 0;
e218.. x217 - b758 =L= 0;
e219.. x218 - b758 =L= 0;
e220.. x219 - b758 =L= 0;
e221.. x220 - b758 =L= 0;
e222.. x221 - b758 =L= 0;
e223.. x222 - b758 =L= 0;
e224.. x223 - b758 =L= 0;
e225.. x224 - b758 =L= 0;
e226.. x225 - b758 =L= 0;
e227.. x226 - b758 =L= 0;
e228.. x227 - b758 =L= 0;
e229.. x228 - b758 =L= 0;
e230.. x229 - b758 =L= 0;
e231.. x230 - b758 =L= 0;
e232.. x231 - b758 =L= 0;
e233.. x232 - b758 =L= 0;
e234.. x233 - b758 =L= 0;
e235.. x234 - b758 =L= 0;
e236.. x235 - b758 =L= 0;
e237.. x236 - b758 =L= 0;
e238.. x237 - b758 =L= 0;
e239.. x238 - b758 =L= 0;
e240.. x239 - b758 =L= 0;
e241.. x240 - b758 =L= 0;
e242.. x241 - b759 =L= 0;
e243.. x242 - b759 =L= 0;
e244.. x243 - b759 =L= 0;
e245.. x244 - b759 =L= 0;
e246.. x245 - b759 =L= 0;
e247.. x246 - b759 =L= 0;
e248.. x247 - b759 =L= 0;
e249.. x248 - b759 =L= 0;
e250.. x249 - b759 =L= 0;
e251.. x250 - b759 =L= 0;
e252.. x251 - b759 =L= 0;
e253.. x252 - b759 =L= 0;
e254.. x253 - b759 =L= 0;
e255.. x254 - b759 =L= 0;
e256.. x255 - b759 =L= 0;
e257.. x256 - b759 =L= 0;
e258.. x257 - b759 =L= 0;
e259.. x258 - b759 =L= 0;
e260.. x259 - b759 =L= 0;
e261.. x260 - b759 =L= 0;
e262.. x261 - b759 =L= 0;
e263.. x262 - b759 =L= 0;
e264.. x263 - b759 =L= 0;
e265.. x264 - b759 =L= 0;
e266.. x265 - b759 =L= 0;
e267.. x266 - b759 =L= 0;
e268.. x267 - b759 =L= 0;
e269.. x268 - b759 =L= 0;
e270.. x269 - b759 =L= 0;
e271.. x270 - b759 =L= 0;
e272.. x271 - b760 =L= 0;
e273.. x272 - b760 =L= 0;
e274.. x273 - b760 =L= 0;
e275.. x274 - b760 =L= 0;
e276.. x275 - b760 =L= 0;
e277.. x276 - b760 =L= 0;
e278.. x277 - b760 =L= 0;
e279.. x278 - b760 =L= 0;
e280.. x279 - b760 =L= 0;
e281.. x280 - b760 =L= 0;
e282.. x281 - b760 =L= 0;
e283.. x282 - b760 =L= 0;
e284.. x283 - b760 =L= 0;
e285.. x284 - b760 =L= 0;
e286.. x285 - b760 =L= 0;
e287.. x286 - b760 =L= 0;
e288.. x287 - b760 =L= 0;
e289.. x288 - b760 =L= 0;
e290.. x289 - b760 =L= 0;
e291.. x290 - b760 =L= 0;
e292.. x291 - b760 =L= 0;
e293.. x292 - b760 =L= 0;
e294.. x293 - b760 =L= 0;
e295.. x294 - b760 =L= 0;
e296.. x295 - b760 =L= 0;
e297.. x296 - b760 =L= 0;
e298.. x297 - b760 =L= 0;
e299.. x298 - b760 =L= 0;
e300.. x299 - b760 =L= 0;
e301.. x300 - b760 =L= 0;
e302.. x301 - b761 =L= 0;
e303.. x302 - b761 =L= 0;
e304.. x303 - b761 =L= 0;
e305.. x304 - b761 =L= 0;
e306.. x305 - b761 =L= 0;
e307.. x306 - b761 =L= 0;
e308.. x307 - b761 =L= 0;
e309.. x308 - b761 =L= 0;
e310.. x309 - b761 =L= 0;
e311.. x310 - b761 =L= 0;
e312.. x311 - b761 =L= 0;
e313.. x312 - b761 =L= 0;
e314.. x313 - b761 =L= 0;
e315.. x314 - b761 =L= 0;
e316.. x315 - b761 =L= 0;
e317.. x316 - b761 =L= 0;
e318.. x317 - b761 =L= 0;
e319.. x318 - b761 =L= 0;
e320.. x319 - b761 =L= 0;
e321.. x320 - b761 =L= 0;
e322.. x321 - b761 =L= 0;
e323.. x322 - b761 =L= 0;
e324.. x323 - b761 =L= 0;
e325.. x324 - b761 =L= 0;
e326.. x325 - b761 =L= 0;
e327.. x326 - b761 =L= 0;
e328.. x327 - b761 =L= 0;
e329.. x328 - b761 =L= 0;
e330.. x329 - b761 =L= 0;
e331.. x330 - b761 =L= 0;
e332.. x331 - b762 =L= 0;
e333.. x332 - b762 =L= 0;
e334.. x333 - b762 =L= 0;
e335.. x334 - b762 =L= 0;
e336.. x335 - b762 =L= 0;
e337.. x336 - b762 =L= 0;
e338.. x337 - b762 =L= 0;
e339.. x338 - b762 =L= 0;
e340.. x339 - b762 =L= 0;
e341.. x340 - b762 =L= 0;
e342.. x341 - b762 =L= 0;
e343.. x342 - b762 =L= 0;
e344.. x343 - b762 =L= 0;
e345.. x344 - b762 =L= 0;
e346.. x345 - b762 =L= 0;
e347.. x346 - b762 =L= 0;
e348.. x347 - b762 =L= 0;
e349.. x348 - b762 =L= 0;
e350.. x349 - b762 =L= 0;
e351.. x350 - b762 =L= 0;
e352.. x351 - b762 =L= 0;
e353.. x352 - b762 =L= 0;
e354.. x353 - b762 =L= 0;
e355.. x354 - b762 =L= 0;
e356.. x355 - b762 =L= 0;
e357.. x356 - b762 =L= 0;
e358.. x357 - b762 =L= 0;
e359.. x358 - b762 =L= 0;
e360.. x359 - b762 =L= 0;
e361.. x360 - b762 =L= 0;
e362.. x361 - b763 =L= 0;
e363.. x362 - b763 =L= 0;
e364.. x363 - b763 =L= 0;
e365.. x364 - b763 =L= 0;
e366.. x365 - b763 =L= 0;
e367.. x366 - b763 =L= 0;
e368.. x367 - b763 =L= 0;
e369.. x368 - b763 =L= 0;
e370.. x369 - b763 =L= 0;
e371.. x370 - b763 =L= 0;
e372.. x371 - b763 =L= 0;
e373.. x372 - b763 =L= 0;
e374.. x373 - b763 =L= 0;
e375.. x374 - b763 =L= 0;
e376.. x375 - b763 =L= 0;
e377.. x376 - b763 =L= 0;
e378.. x377 - b763 =L= 0;
e379.. x378 - b763 =L= 0;
e380.. x379 - b763 =L= 0;
e381.. x380 - b763 =L= 0;
e382.. x381 - b763 =L= 0;
e383.. x382 - b763 =L= 0;
e384.. x383 - b763 =L= 0;
e385.. x384 - b763 =L= 0;
e386.. x385 - b763 =L= 0;
e387.. x386 - b763 =L= 0;
e388.. x387 - b763 =L= 0;
e389.. x388 - b763 =L= 0;
e390.. x389 - b763 =L= 0;
e391.. x390 - b763 =L= 0;
e392.. x391 - b764 =L= 0;
e393.. x392 - b764 =L= 0;
e394.. x393 - b764 =L= 0;
e395.. x394 - b764 =L= 0;
e396.. x395 - b764 =L= 0;
e397.. x396 - b764 =L= 0;
e398.. x397 - b764 =L= 0;
e399.. x398 - b764 =L= 0;
e400.. x399 - b764 =L= 0;
e401.. x400 - b764 =L= 0;
e402.. x401 - b764 =L= 0;
e403.. x402 - b764 =L= 0;
e404.. x403 - b764 =L= 0;
e405.. x404 - b764 =L= 0;
e406.. x405 - b764 =L= 0;
e407.. x406 - b764 =L= 0;
e408.. x407 - b764 =L= 0;
e409.. x408 - b764 =L= 0;
e410.. x409 - b764 =L= 0;
e411.. x410 - b764 =L= 0;
e412.. x411 - b764 =L= 0;
e413.. x412 - b764 =L= 0;
e414.. x413 - b764 =L= 0;
e415.. x414 - b764 =L= 0;
e416.. x415 - b764 =L= 0;
e417.. x416 - b764 =L= 0;
e418.. x417 - b764 =L= 0;
e419.. x418 - b764 =L= 0;
e420.. x419 - b764 =L= 0;
e421.. x420 - b764 =L= 0;
e422.. x421 - b765 =L= 0;
e423.. x422 - b765 =L= 0;
e424.. x423 - b765 =L= 0;
e425.. x424 - b765 =L= 0;
e426.. x425 - b765 =L= 0;
e427.. x426 - b765 =L= 0;
e428.. x427 - b765 =L= 0;
e429.. x428 - b765 =L= 0;
e430.. x429 - b765 =L= 0;
e431.. x430 - b765 =L= 0;
e432.. x431 - b765 =L= 0;
e433.. x432 - b765 =L= 0;
e434.. x433 - b765 =L= 0;
e435.. x434 - b765 =L= 0;
e436.. x435 - b765 =L= 0;
e437.. x436 - b765 =L= 0;
e438.. x437 - b765 =L= 0;
e439.. x438 - b765 =L= 0;
e440.. x439 - b765 =L= 0;
e441.. x440 - b765 =L= 0;
e442.. x441 - b765 =L= 0;
e443.. x442 - b765 =L= 0;
e444.. x443 - b765 =L= 0;
e445.. x444 - b765 =L= 0;
e446.. x445 - b765 =L= 0;
e447.. x446 - b765 =L= 0;
e448.. x447 - b765 =L= 0;
e449.. x448 - b765 =L= 0;
e450.. x449 - b765 =L= 0;
e451.. x450 - b765 =L= 0;
e452.. x451 - b766 =L= 0;
e453.. x452 - b766 =L= 0;
e454.. x453 - b766 =L= 0;
e455.. x454 - b766 =L= 0;
e456.. x455 - b766 =L= 0;
e457.. x456 - b766 =L= 0;
e458.. x457 - b766 =L= 0;
e459.. x458 - b766 =L= 0;
e460.. x459 - b766 =L= 0;
e461.. x460 - b766 =L= 0;
e462.. x461 - b766 =L= 0;
e463.. x462 - b766 =L= 0;
e464.. x463 - b766 =L= 0;
e465.. x464 - b766 =L= 0;
e466.. x465 - b766 =L= 0;
e467.. x466 - b766 =L= 0;
e468.. x467 - b766 =L= 0;
e469.. x468 - b766 =L= 0;
e470.. x469 - b766 =L= 0;
e471.. x470 - b766 =L= 0;
e472.. x471 - b766 =L= 0;
e473.. x472 - b766 =L= 0;
e474.. x473 - b766 =L= 0;
e475.. x474 - b766 =L= 0;
e476.. x475 - b766 =L= 0;
e477.. x476 - b766 =L= 0;
e478.. x477 - b766 =L= 0;
e479.. x478 - b766 =L= 0;
e480.. x479 - b766 =L= 0;
e481.. x480 - b766 =L= 0;
e482.. x481 - b767 =L= 0;
e483.. x482 - b767 =L= 0;
e484.. x483 - b767 =L= 0;
e485.. x484 - b767 =L= 0;
e486.. x485 - b767 =L= 0;
e487.. x486 - b767 =L= 0;
e488.. x487 - b767 =L= 0;
e489.. x488 - b767 =L= 0;
e490.. x489 - b767 =L= 0;
e491.. x490 - b767 =L= 0;
e492.. x491 - b767 =L= 0;
e493.. x492 - b767 =L= 0;
e494.. x493 - b767 =L= 0;
e495.. x494 - b767 =L= 0;
e496.. x495 - b767 =L= 0;
e497.. x496 - b767 =L= 0;
e498.. x497 - b767 =L= 0;
e499.. x498 - b767 =L= 0;
e500.. x499 - b767 =L= 0;
e501.. x500 - b767 =L= 0;
e502.. x501 - b767 =L= 0;
e503.. x502 - b767 =L= 0;
e504.. x503 - b767 =L= 0;
e505.. x504 - b767 =L= 0;
e506.. x505 - b767 =L= 0;
e507.. x506 - b767 =L= 0;
e508.. x507 - b767 =L= 0;
e509.. x508 - b767 =L= 0;
e510.. x509 - b767 =L= 0;
e511.. x510 - b767 =L= 0;
e512.. x511 - b768 =L= 0;
e513.. x512 - b768 =L= 0;
e514.. x513 - b768 =L= 0;
e515.. x514 - b768 =L= 0;
e516.. x515 - b768 =L= 0;
e517.. x516 - b768 =L= 0;
e518.. x517 - b768 =L= 0;
e519.. x518 - b768 =L= 0;
e520.. x519 - b768 =L= 0;
e521.. x520 - b768 =L= 0;
e522.. x521 - b768 =L= 0;
e523.. x522 - b768 =L= 0;
e524.. x523 - b768 =L= 0;
e525.. x524 - b768 =L= 0;
e526.. x525 - b768 =L= 0;
e527.. x526 - b768 =L= 0;
e528.. x527 - b768 =L= 0;
e529.. x528 - b768 =L= 0;
e530.. x529 - b768 =L= 0;
e531.. x530 - b768 =L= 0;
e532.. x531 - b768 =L= 0;
e533.. x532 - b768 =L= 0;
e534.. x533 - b768 =L= 0;
e535.. x534 - b768 =L= 0;
e536.. x535 - b768 =L= 0;
e537.. x536 - b768 =L= 0;
e538.. x537 - b768 =L= 0;
e539.. x538 - b768 =L= 0;
e540.. x539 - b768 =L= 0;
e541.. x540 - b768 =L= 0;
e542.. x541 - b769 =L= 0;
e543.. x542 - b769 =L= 0;
e544.. x543 - b769 =L= 0;
e545.. x544 - b769 =L= 0;
e546.. x545 - b769 =L= 0;
e547.. x546 - b769 =L= 0;
e548.. x547 - b769 =L= 0;
e549.. x548 - b769 =L= 0;
e550.. x549 - b769 =L= 0;
e551.. x550 - b769 =L= 0;
e552.. x551 - b769 =L= 0;
e553.. x552 - b769 =L= 0;
e554.. x553 - b769 =L= 0;
e555.. x554 - b769 =L= 0;
e556.. x555 - b769 =L= 0;
e557.. x556 - b769 =L= 0;
e558.. x557 - b769 =L= 0;
e559.. x558 - b769 =L= 0;
e560.. x559 - b769 =L= 0;
e561.. x560 - b769 =L= 0;
e562.. x561 - b769 =L= 0;
e563.. x562 - b769 =L= 0;
e564.. x563 - b769 =L= 0;
e565.. x564 - b769 =L= 0;
e566.. x565 - b769 =L= 0;
e567.. x566 - b769 =L= 0;
e568.. x567 - b769 =L= 0;
e569.. x568 - b769 =L= 0;
e570.. x569 - b769 =L= 0;
e571.. x570 - b769 =L= 0;
e572.. x571 - b770 =L= 0;
e573.. x572 - b770 =L= 0;
e574.. x573 - b770 =L= 0;
e575.. x574 - b770 =L= 0;
e576.. x575 - b770 =L= 0;
e577.. x576 - b770 =L= 0;
e578.. x577 - b770 =L= 0;
e579.. x578 - b770 =L= 0;
e580.. x579 - b770 =L= 0;
e581.. x580 - b770 =L= 0;
e582.. x581 - b770 =L= 0;
e583.. x582 - b770 =L= 0;
e584.. x583 - b770 =L= 0;
e585.. x584 - b770 =L= 0;
e586.. x585 - b770 =L= 0;
e587.. x586 - b770 =L= 0;
e588.. x587 - b770 =L= 0;
e589.. x588 - b770 =L= 0;
e590.. x589 - b770 =L= 0;
e591.. x590 - b770 =L= 0;
e592.. x591 - b770 =L= 0;
e593.. x592 - b770 =L= 0;
e594.. x593 - b770 =L= 0;
e595.. x594 - b770 =L= 0;
e596.. x595 - b770 =L= 0;
e597.. x596 - b770 =L= 0;
e598.. x597 - b770 =L= 0;
e599.. x598 - b770 =L= 0;
e600.. x599 - b770 =L= 0;
e601.. x600 - b770 =L= 0;
e602.. x601 - b771 =L= 0;
e603.. x602 - b771 =L= 0;
e604.. x603 - b771 =L= 0;
e605.. x604 - b771 =L= 0;
e606.. x605 - b771 =L= 0;
e607.. x606 - b771 =L= 0;
e608.. x607 - b771 =L= 0;
e609.. x608 - b771 =L= 0;
e610.. x609 - b771 =L= 0;
e611.. x610 - b771 =L= 0;
e612.. x611 - b771 =L= 0;
e613.. x612 - b771 =L= 0;
e614.. x613 - b771 =L= 0;
e615.. x614 - b771 =L= 0;
e616.. x615 - b771 =L= 0;
e617.. x616 - b771 =L= 0;
e618.. x617 - b771 =L= 0;
e619.. x618 - b771 =L= 0;
e620.. x619 - b771 =L= 0;
e621.. x620 - b771 =L= 0;
e622.. x621 - b771 =L= 0;
e623.. x622 - b771 =L= 0;
e624.. x623 - b771 =L= 0;
e625.. x624 - b771 =L= 0;
e626.. x625 - b771 =L= 0;
e627.. x626 - b771 =L= 0;
e628.. x627 - b771 =L= 0;
e629.. x628 - b771 =L= 0;
e630.. x629 - b771 =L= 0;
e631.. x630 - b771 =L= 0;
e632.. x631 - b772 =L= 0;
e633.. x632 - b772 =L= 0;
e634.. x633 - b772 =L= 0;
e635.. x634 - b772 =L= 0;
e636.. x635 - b772 =L= 0;
e637.. x636 - b772 =L= 0;
e638.. x637 - b772 =L= 0;
e639.. x638 - b772 =L= 0;
e640.. x639 - b772 =L= 0;
e641.. x640 - b772 =L= 0;
e642.. x641 - b772 =L= 0;
e643.. x642 - b772 =L= 0;
e644.. x643 - b772 =L= 0;
e645.. x644 - b772 =L= 0;
e646.. x645 - b772 =L= 0;
e647.. x646 - b772 =L= 0;
e648.. x647 - b772 =L= 0;
e649.. x648 - b772 =L= 0;
e650.. x649 - b772 =L= 0;
e651.. x650 - b772 =L= 0;
e652.. x651 - b772 =L= 0;
e653.. x652 - b772 =L= 0;
e654.. x653 - b772 =L= 0;
e655.. x654 - b772 =L= 0;
e656.. x655 - b772 =L= 0;
e657.. x656 - b772 =L= 0;
e658.. x657 - b772 =L= 0;
e659.. x658 - b772 =L= 0;
e660.. x659 - b772 =L= 0;
e661.. x660 - b772 =L= 0;
e662.. x661 - b773 =L= 0;
e663.. x662 - b773 =L= 0;
e664.. x663 - b773 =L= 0;
e665.. x664 - b773 =L= 0;
e666.. x665 - b773 =L= 0;
e667.. x666 - b773 =L= 0;
e668.. x667 - b773 =L= 0;
e669.. x668 - b773 =L= 0;
e670.. x669 - b773 =L= 0;
e671.. x670 - b773 =L= 0;
e672.. x671 - b773 =L= 0;
e673.. x672 - b773 =L= 0;
e674.. x673 - b773 =L= 0;
e675.. x674 - b773 =L= 0;
e676.. x675 - b773 =L= 0;
e677.. x676 - b773 =L= 0;
e678.. x677 - b773 =L= 0;
e679.. x678 - b773 =L= 0;
e680.. x679 - b773 =L= 0;
e681.. x680 - b773 =L= 0;
e682.. x681 - b773 =L= 0;
e683.. x682 - b773 =L= 0;
e684.. x683 - b773 =L= 0;
e685.. x684 - b773 =L= 0;
e686.. x685 - b773 =L= 0;
e687.. x686 - b773 =L= 0;
e688.. x687 - b773 =L= 0;
e689.. x688 - b773 =L= 0;
e690.. x689 - b773 =L= 0;
e691.. x690 - b773 =L= 0;
e692.. x691 - b774 =L= 0;
e693.. x692 - b774 =L= 0;
e694.. x693 - b774 =L= 0;
e695.. x694 - b774 =L= 0;
e696.. x695 - b774 =L= 0;
e697.. x696 - b774 =L= 0;
e698.. x697 - b774 =L= 0;
e699.. x698 - b774 =L= 0;
e700.. x699 - b774 =L= 0;
e701.. x700 - b774 =L= 0;
e702.. x701 - b774 =L= 0;
e703.. x702 - b774 =L= 0;
e704.. x703 - b774 =L= 0;
e705.. x704 - b774 =L= 0;
e706.. x705 - b774 =L= 0;
e707.. x706 - b774 =L= 0;
e708.. x707 - b774 =L= 0;
e709.. x708 - b774 =L= 0;
e710.. x709 - b774 =L= 0;
e711.. x710 - b774 =L= 0;
e712.. x711 - b774 =L= 0;
e713.. x712 - b774 =L= 0;
e714.. x713 - b774 =L= 0;
e715.. x714 - b774 =L= 0;
e716.. x715 - b774 =L= 0;
e717.. x716 - b774 =L= 0;
e718.. x717 - b774 =L= 0;
e719.. x718 - b774 =L= 0;
e720.. x719 - b774 =L= 0;
e721.. x720 - b774 =L= 0;
e722.. x721 - b775 =L= 0;
e723.. x722 - b775 =L= 0;
e724.. x723 - b775 =L= 0;
e725.. x724 - b775 =L= 0;
e726.. x725 - b775 =L= 0;
e727.. x726 - b775 =L= 0;
e728.. x727 - b775 =L= 0;
e729.. x728 - b775 =L= 0;
e730.. x729 - b775 =L= 0;
e731.. x730 - b775 =L= 0;
e732.. x731 - b775 =L= 0;
e733.. x732 - b775 =L= 0;
e734.. x733 - b775 =L= 0;
e735.. x734 - b775 =L= 0;
e736.. x735 - b775 =L= 0;
e737.. x736 - b775 =L= 0;
e738.. x737 - b775 =L= 0;
e739.. x738 - b775 =L= 0;
e740.. x739 - b775 =L= 0;
e741.. x740 - b775 =L= 0;
e742.. x741 - b775 =L= 0;
e743.. x742 - b775 =L= 0;
e744.. x743 - b775 =L= 0;
e745.. x744 - b775 =L= 0;
e746.. x745 - b775 =L= 0;
e747.. x746 - b775 =L= 0;
e748.. x747 - b775 =L= 0;
e749.. x748 - b775 =L= 0;
e750.. x749 - b775 =L= 0;
e751.. x750 - b775 =L= 0;
e752.. x1 + x31 + x61 + x91 + x121 + x151 + x181 + x211 + x241 + x271 + x301
+ x331 + x361 + x391 + x421 + x451 + x481 + x511 + x541 + x571 + x601
+ x631 + x661 + x691 + x721 =E= 1;
e753.. x2 + x32 + x62 + x92 + x122 + x152 + x182 + x212 + x242 + x272 + x302
+ x332 + x362 + x392 + x422 + x452 + x482 + x512 + x542 + x572 + x602
+ x632 + x662 + x692 + x722 =E= 1;
e754.. x3 + x33 + x63 + x93 + x123 + x153 + x183 + x213 + x243 + x273 + x303
+ x333 + x363 + x393 + x423 + x453 + x483 + x513 + x543 + x573 + x603
+ x633 + x663 + x693 + x723 =E= 1;
e755.. x4 + x34 + x64 + x94 + x124 + x154 + x184 + x214 + x244 + x274 + x304
+ x334 + x364 + x394 + x424 + x454 + x484 + x514 + x544 + x574 + x604
+ x634 + x664 + x694 + x724 =E= 1;
e756.. x5 + x35 + x65 + x95 + x125 + x155 + x185 + x215 + x245 + x275 + x305
+ x335 + x365 + x395 + x425 + x455 + x485 + x515 + x545 + x575 + x605
+ x635 + x665 + x695 + x725 =E= 1;
e757.. x6 + x36 + x66 + x96 + x126 + x156 + x186 + x216 + x246 + x276 + x306
+ x336 + x366 + x396 + x426 + x456 + x486 + x516 + x546 + x576 + x606
+ x636 + x666 + x696 + x726 =E= 1;
e758.. x7 + x37 + x67 + x97 + x127 + x157 + x187 + x217 + x247 + x277 + x307
+ x337 + x367 + x397 + x427 + x457 + x487 + x517 + x547 + x577 + x607
+ x637 + x667 + x697 + x727 =E= 1;
e759.. x8 + x38 + x68 + x98 + x128 + x158 + x188 + x218 + x248 + x278 + x308
+ x338 + x368 + x398 + x428 + x458 + x488 + x518 + x548 + x578 + x608
+ x638 + x668 + x698 + x728 =E= 1;
e760.. x9 + x39 + x69 + x99 + x129 + x159 + x189 + x219 + x249 + x279 + x309
+ x339 + x369 + x399 + x429 + x459 + x489 + x519 + x549 + x579 + x609
+ x639 + x669 + x699 + x729 =E= 1;
e761.. x10 + x40 + x70 + x100 + x130 + x160 + x190 + x220 + x250 + x280
+ x310 + x340 + x370 + x400 + x430 + x460 + x490 + x520 + x550 + x580
+ x610 + x640 + x670 + x700 + x730 =E= 1;
e762.. x11 + x41 + x71 + x101 + x131 + x161 + x191 + x221 + x251 + x281
+ x311 + x341 + x371 + x401 + x431 + x461 + x491 + x521 + x551 + x581
+ x611 + x641 + x671 + x701 + x731 =E= 1;
e763.. x12 + x42 + x72 + x102 + x132 + x162 + x192 + x222 + x252 + x282
+ x312 + x342 + x372 + x402 + x432 + x462 + x492 + x522 + x552 + x582
+ x612 + x642 + x672 + x702 + x732 =E= 1;
e764.. x13 + x43 + x73 + x103 + x133 + x163 + x193 + x223 + x253 + x283
+ x313 + x343 + x373 + x403 + x433 + x463 + x493 + x523 + x553 + x583
+ x613 + x643 + x673 + x703 + x733 =E= 1;
e765.. x14 + x44 + x74 + x104 + x134 + x164 + x194 + x224 + x254 + x284
+ x314 + x344 + x374 + x404 + x434 + x464 + x494 + x524 + x554 + x584
+ x614 + x644 + x674 + x704 + x734 =E= 1;
e766.. x15 + x45 + x75 + x105 + x135 + x165 + x195 + x225 + x255 + x285
+ x315 + x345 + x375 + x405 + x435 + x465 + x495 + x525 + x555 + x585
+ x615 + x645 + x675 + x705 + x735 =E= 1;
e767.. x16 + x46 + x76 + x106 + x136 + x166 + x196 + x226 + x256 + x286
+ x316 + x346 + x376 + x406 + x436 + x466 + x496 + x526 + x556 + x586
+ x616 + x646 + x676 + x706 + x736 =E= 1;
e768.. x17 + x47 + x77 + x107 + x137 + x167 + x197 + x227 + x257 + x287
+ x317 + x347 + x377 + x407 + x437 + x467 + x497 + x527 + x557 + x587
+ x617 + x647 + x677 + x707 + x737 =E= 1;
e769.. x18 + x48 + x78 + x108 + x138 + x168 + x198 + x228 + x258 + x288
+ x318 + x348 + x378 + x408 + x438 + x468 + x498 + x528 + x558 + x588
+ x618 + x648 + x678 + x708 + x738 =E= 1;
e770.. x19 + x49 + x79 + x109 + x139 + x169 + x199 + x229 + x259 + x289
+ x319 + x349 + x379 + x409 + x439 + x469 + x499 + x529 + x559 + x589
+ x619 + x649 + x679 + x709 + x739 =E= 1;
e771.. x20 + x50 + x80 + x110 + x140 + x170 + x200 + x230 + x260 + x290
+ x320 + x350 + x380 + x410 + x440 + x470 + x500 + x530 + x560 + x590
+ x620 + x650 + x680 + x710 + x740 =E= 1;
e772.. x21 + x51 + x81 + x111 + x141 + x171 + x201 + x231 + x261 + x291
+ x321 + x351 + x381 + x411 + x441 + x471 + x501 + x531 + x561 + x591
+ x621 + x651 + x681 + x711 + x741 =E= 1;
e773.. x22 + x52 + x82 + x112 + x142 + x172 + x202 + x232 + x262 + x292
+ x322 + x352 + x382 + x412 + x442 + x472 + x502 + x532 + x562 + x592
+ x622 + x652 + x682 + x712 + x742 =E= 1;
e774.. x23 + x53 + x83 + x113 + x143 + x173 + x203 + x233 + x263 + x293
+ x323 + x353 + x383 + x413 + x443 + x473 + x503 + x533 + x563 + x593
+ x623 + x653 + x683 + x713 + x743 =E= 1;
e775.. x24 + x54 + x84 + x114 + x144 + x174 + x204 + x234 + x264 + x294
+ x324 + x354 + x384 + x414 + x444 + x474 + x504 + x534 + x564 + x594
+ x624 + x654 + x684 + x714 + x744 =E= 1;
e776.. x25 + x55 + x85 + x115 + x145 + x175 + x205 + x235 + x265 + x295
+ x325 + x355 + x385 + x415 + x445 + x475 + x505 + x535 + x565 + x595
+ x625 + x655 + x685 + x715 + x745 =E= 1;
e777.. x26 + x56 + x86 + x116 + x146 + x176 + x206 + x236 + x266 + x296
+ x326 + x356 + x386 + x416 + x446 + x476 + x506 + x536 + x566 + x596
+ x626 + x656 + x686 + x716 + x746 =E= 1;
e778.. x27 + x57 + x87 + x117 + x147 + x177 + x207 + x237 + x267 + x297
+ x327 + x357 + x387 + x417 + x447 + x477 + x507 + x537 + x567 + x597
+ x627 + x657 + x687 + x717 + x747 =E= 1;
e779.. x28 + x58 + x88 + x118 + x148 + x178 + x208 + x238 + x268 + x298
+ x328 + x358 + x388 + x418 + x448 + x478 + x508 + x538 + x568 + x598
+ x628 + x658 + x688 + x718 + x748 =E= 1;
e780.. x29 + x59 + x89 + x119 + x149 + x179 + x209 + x239 + x269 + x299
+ x329 + x359 + x389 + x419 + x449 + x479 + x509 + x539 + x569 + x599
+ x629 + x659 + x689 + x719 + x749 =E= 1;
e781.. x30 + x60 + x90 + x120 + x150 + x180 + x210 + x240 + x270 + x300
+ x330 + x360 + x390 + x420 + x450 + x480 + x510 + x540 + x570 + x600
+ x630 + x660 + x690 + x720 + x750 =E= 1;
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: 2025-08-07 Git hash: e62cedfc

