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)
205.50169400 p1 ( gdx sol )
(infeas: 4e-16)
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 of Objective Gradient and Jacobian
Sparsity Hessian of Lagrangian Sparsity of Hessian of Lagrangian

$offlisting
*  
*  Equation counts
*      Total        E        G        L        N        X        C        B
*        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
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          ,e780,e781;


e1.. -(18.317920140714*x1*x1 + 50.5417406365265*x2*x2 + 7.23887157420725*x3*x3
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     *x639*x639 + 11.781113870454*x640*x640 + 19.1362635118971*x641*x641 + 
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     *x644*x644 + 8.24781300382474*x645*x645 + 23.2588184860202*x646*x646 + 
     30.0557875922803*x647*x647 + 18.3662355708999*x648*x648 + 3.40027525677428
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     14.0975808340277*x652*x652 + 26.5424261748064*x653*x653 + 14.326867605996*
     x654*x654 + 25.8766539692379*x655*x655 + 29.9315352111411*x656*x656 + 
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     *x659*x659 + 15.1702805924435*x660*x660 + 10.1777410414117*x661*x661 + 
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     *x664*x664 + 19.0263280820462*x665*x665 + 14.7806759019531*x666*x666 + 
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     *x669*x669 + 12.1619231970562*x670*x670 + 19.3250530390351*x671*x671 + 
     16.1663921443928*x672*x672 + 13.203093159871*x673*x673 + 17.5862634142262*
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     33.7588687981517*x677*x677 + 22.5313297778896*x678*x678 + 7.59976649923734
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     *x684*x684 + 29.6638295299808*x685*x685 + 29.8406029954592*x686*x686 + 
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     *x689*x689 + 19.1941356013651*x690*x690 + 23.878166033769*x691*x691 + 
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     *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: 2022-05-24 Git hash: 1198c186
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