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A Library of Mixed-Integer and Continuous Nonlinear Programming Instances

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Instance ndcc15persp

Multicommodity network design problem with congestion constraints and fixed costs for opening arcs.
Perspective reformulation of ndcc15.
Formats ams gms lp mod nl osil pip py
Primal Bounds (infeas ≤ 1e-08)
95.27817990 p1 ( gdx sol )
(infeas: 1e-10)
94.61120710 p2 ( gdx sol )
(infeas: 3e-11)
Other points (infeas > 1e-08)  
Dual Bounds
76.04499640 (ANTIGONE)
78.20916860 (BARON)
76.10428980 (COUENNE)
76.10428980 (GUROBI)
78.21316047 (LINDO)
81.34715524 (SCIP)
76.10428980 (SHOT)
References Günlük, Oktay and Linderoth, Jeff T, Perspective reformulations of mixed integer nonlinear programs with indicator variables, Mathematical Programming, 124:1-2, 2010, 183-205.
Günlük, Oktay and Linderoth, Jeff T, Perspective Reformulation and Applications. In Lee, Jon and Leyffer, Sven, Eds, Mixed Integer Nonlinear Programming, Springer, 2012, 61-89.
Boorstyn, R R and Frank, H, Large-scale network topological optimization, IEEE Transactions on Communications, 25:1, 1977, 29-47.
Application Network Design
Added to library 28 Feb 2014
Problem type MBQCP
#Variables 720
#Binary Variables 40
#Integer Variables 0
#Nonlinear Variables 120
#Nonlinear Binary Variables 40
#Nonlinear Integer Variables 0
Objective Sense min
Objective type linear
Objective curvature linear
#Nonzeros in Objective 40
#Nonlinear Nonzeros in Objective 0
#Constraints 346
#Linear Constraints 306
#Quadratic Constraints 40
#Polynomial Constraints 0
#Signomial Constraints 0
#General Nonlinear Constraints 0
Operands in Gen. Nonlin. Functions  
Constraints curvature indefinite
#Nonzeros in Jacobian 2640
#Nonlinear Nonzeros in Jacobian 120
#Nonzeros in (Upper-Left) Hessian of Lagrangian 240
#Nonzeros in Diagonal of Hessian of Lagrangian 0
#Blocks in Hessian of Lagrangian 40
Minimal blocksize in Hessian of Lagrangian 3
Maximal blocksize in Hessian of Lagrangian 3
Average blocksize in Hessian of Lagrangian 3.0
#Semicontinuities 0
#Nonlinear Semicontinuities 0
#SOS type 1 0
#SOS type 2 0
Minimal coefficient 1.0000e+00
Maximal coefficient 7.3400e+02
Infeasibility of initial point 257
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
*        347      226       40       81        0        0        0        0
*  
*  Variable counts
*                   x        b        i      s1s      s2s       sc       si
*      Total     cont   binary  integer     sos1     sos2    scont     sint
*        721      681       40        0        0        0        0        0
*  FX      0
*  
*  Nonzero counts
*      Total    const       NL      DLL
*       2681     2561      120        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,b601,b602,b603,b604,b605,b606,b607,b608,b609,b610
          ,b611,b612,b613,b614,b615,b616,b617,b618,b619,b620,b621,b622,b623
          ,b624,b625,b626,b627,b628,b629,b630,b631,b632,b633,b634,b635,b636
          ,b637,b638,b639,b640,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,objvar,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;

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,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,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;

Binary Variables  b601,b602,b603,b604,b605,b606,b607,b608,b609,b610,b611,b612
          ,b613,b614,b615,b616,b617,b618,b619,b620,b621,b622,b623,b624,b625
          ,b626,b627,b628,b629,b630,b631,b632,b633,b634,b635,b636,b637,b638
          ,b639,b640;

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;


e1..  - 3.556098535*b601 - 3.041877037*b602 - 3.589685587*b603
      - 3.905780389*b604 - 3.556098535*b605 - 1.217492332*b606
      - 2.503715254*b607 - 1.063607104*b608 - 1.217492332*b609
      - 2.503715254*b610 - 3.633719815*b611 - 2.125478257*b612
      - 3.041877037*b613 - 2.125478257*b614 - 1.784531452*b615
      - 3.064279153*b616 - 1.50214444*b617 - 3.064279153*b618
      - 2.200931005*b619 - 1.190857108*b620 - 1.784531452*b621
      - 2.200931005*b622 - 2.108870677*b623 - 3.589685587*b624
      - 2.108870677*b625 - 3.282989665*b626 - 3.282989665*b627
      - 1.220939503*b628 - 3.902013532*b629 - 3.633719815*b630
      - 1.50214444*b631 - 1.220939503*b632 - 3.902013532*b633
      - 3.510868159*b634 - 1.190857108*b635 - 2.805504934*b636
      - 3.905780389*b637 - 1.063607104*b638 - 3.510868159*b639
      - 2.805504934*b640 + objvar =E= 0;

e2..  - x1 - x16 - x31 - x46 + x61 + x181 + x346 + x541 =E= -203;

e3..  - x2 - x17 - x32 - x47 + x62 + x182 + x347 + x542 =E= 7;

e4..  - x3 - x18 - x33 - x48 + x63 + x183 + x348 + x543 =E= 18;

e5..  - x4 - x19 - x34 - x49 + x64 + x184 + x349 + x544 =E= 23;

e6..  - x5 - x20 - x35 - x50 + x65 + x185 + x350 + x545 =E= 8;

e7..  - x6 - x21 - x36 - x51 + x66 + x186 + x351 + x546 =E= 22;

e8..  - x7 - x22 - x37 - x52 + x67 + x187 + x352 + x547 =E= 17;

e9..  - x8 - x23 - x38 - x53 + x68 + x188 + x353 + x548 =E= 13;

e10..  - x9 - x24 - x39 - x54 + x69 + x189 + x354 + x549 =E= 9;

e11..  - x10 - x25 - x40 - x55 + x70 + x190 + x355 + x550 =E= 6;

e12..  - x11 - x26 - x41 - x56 + x71 + x191 + x356 + x551 =E= 19;

e13..  - x12 - x27 - x42 - x57 + x72 + x192 + x357 + x552 =E= 5;

e14..  - x13 - x28 - x43 - x58 + x73 + x193 + x358 + x553 =E= 11;

e15..  - x14 - x29 - x44 - x59 + x74 + x194 + x359 + x554 =E= 7;

e16..  - x15 - x30 - x45 - x60 + x75 + x195 + x360 + x555 =E= 6;

e17..    x1 - x61 - x76 + x121 =E= 7;

e18..    x2 - x62 - x77 + x122 =E= -191;

e19..    x3 - x63 - x78 + x123 =E= 5;

e20..    x4 - x64 - x79 + x124 =E= 16;

e21..    x5 - x65 - x80 + x125 =E= 20;

e22..    x6 - x66 - x81 + x126 =E= 15;

e23..    x7 - x67 - x82 + x127 =E= 21;

e24..    x8 - x68 - x83 + x128 =E= 6;

e25..    x9 - x69 - x84 + x129 =E= 23;

e26..    x10 - x70 - x85 + x130 =E= 10;

e27..    x11 - x71 - x86 + x131 =E= 9;

e28..    x12 - x72 - x87 + x132 =E= 8;

e29..    x13 - x73 - x88 + x133 =E= 10;

e30..    x14 - x74 - x89 + x134 =E= 12;

e31..    x15 - x75 - x90 + x135 =E= 19;

e32..  - x91 - x106 + x136 + x556 =E= 21;

e33..  - x92 - x107 + x137 + x557 =E= 10;

e34..  - x93 - x108 + x138 + x558 =E= -221;

e35..  - x94 - x109 + x139 + x559 =E= 8;

e36..  - x95 - x110 + x140 + x560 =E= 7;

e37..  - x96 - x111 + x141 + x561 =E= 20;

e38..  - x97 - x112 + x142 + x562 =E= 23;

e39..  - x98 - x113 + x143 + x563 =E= 12;

e40..  - x99 - x114 + x144 + x564 =E= 21;

e41..  - x100 - x115 + x145 + x565 =E= 21;

e42..  - x101 - x116 + x146 + x566 =E= 24;

e43..  - x102 - x117 + x147 + x567 =E= 23;

e44..  - x103 - x118 + x148 + x568 =E= 14;

e45..  - x104 - x119 + x149 + x569 =E= 12;

e46..  - x105 - x120 + x150 + x570 =E= 6;

e47..    x76 + x91 - x121 - x136 - x151 + x436 =E= 17;

e48..    x77 + x92 - x122 - x137 - x152 + x437 =E= 10;

e49..    x78 + x93 - x123 - x138 - x153 + x438 =E= 17;

e50..    x79 + x94 - x124 - x139 - x154 + x439 =E= -211;

e51..    x80 + x95 - x125 - x140 - x155 + x440 =E= 12;

e52..    x81 + x96 - x126 - x141 - x156 + x441 =E= 22;

e53..    x82 + x97 - x127 - x142 - x157 + x442 =E= 24;

e54..    x83 + x98 - x128 - x143 - x158 + x443 =E= 22;

e55..    x84 + x99 - x129 - x144 - x159 + x444 =E= 21;

e56..    x85 + x100 - x130 - x145 - x160 + x445 =E= 17;

e57..    x86 + x101 - x131 - x146 - x161 + x446 =E= 5;

e58..    x87 + x102 - x132 - x147 - x162 + x447 =E= 16;

e59..    x88 + x103 - x133 - x148 - x163 + x448 =E= 19;

e60..    x89 + x104 - x134 - x149 - x164 + x449 =E= 19;

e61..    x90 + x105 - x135 - x150 - x165 + x450 =E= 23;

e62..  - x166 + x196 =E= 23;

e63..  - x167 + x197 =E= 15;

e64..  - x168 + x198 =E= 23;

e65..  - x169 + x199 =E= 8;

e66..  - x170 + x200 =E= -159;

e67..  - x171 + x201 =E= 7;

e68..  - x172 + x202 =E= 21;

e69..  - x173 + x203 =E= 9;

e70..  - x174 + x204 =E= 12;

e71..  - x175 + x205 =E= 17;

e72..  - x176 + x206 =E= 14;

e73..  - x177 + x207 =E= 12;

e74..  - x178 + x208 =E= 22;

e75..  - x179 + x209 =E= 8;

e76..  - x180 + x210 =E= 19;

e77..    x16 + x166 - x181 - x196 - x211 + x301 =E= 16;

e78..    x17 + x167 - x182 - x197 - x212 + x302 =E= 10;

e79..    x18 + x168 - x183 - x198 - x213 + x303 =E= 22;

e80..    x19 + x169 - x184 - x199 - x214 + x304 =E= 16;

e81..    x20 + x170 - x185 - x200 - x215 + x305 =E= 13;

e82..    x21 + x171 - x186 - x201 - x216 + x306 =E= -257;

e83..    x22 + x172 - x187 - x202 - x217 + x307 =E= 6;

e84..    x23 + x173 - x188 - x203 - x218 + x308 =E= 21;

e85..    x24 + x174 - x189 - x204 - x219 + x309 =E= 11;

e86..    x25 + x175 - x190 - x205 - x220 + x310 =E= 24;

e87..    x26 + x176 - x191 - x206 - x221 + x311 =E= 7;

e88..    x27 + x177 - x192 - x207 - x222 + x312 =E= 15;

e89..    x28 + x178 - x193 - x208 - x223 + x313 =E= 6;

e90..    x29 + x179 - x194 - x209 - x224 + x314 =E= 18;

e91..    x30 + x180 - x195 - x210 - x225 + x315 =E= 17;

e92..  - x226 - x241 + x256 + x451 =E= 9;

e93..  - x227 - x242 + x257 + x452 =E= 6;

e94..  - x228 - x243 + x258 + x453 =E= 20;

e95..  - x229 - x244 + x259 + x454 =E= 13;

e96..  - x230 - x245 + x260 + x455 =E= 17;

e97..  - x231 - x246 + x261 + x456 =E= 23;

e98..  - x232 - x247 + x262 + x457 =E= -236;

e99..  - x233 - x248 + x263 + x458 =E= 13;

e100..  - x234 - x249 + x264 + x459 =E= 6;

e101..  - x235 - x250 + x265 + x460 =E= 24;

e102..  - x236 - x251 + x266 + x461 =E= 16;

e103..  - x237 - x252 + x267 + x462 =E= 9;

e104..  - x238 - x253 + x268 + x463 =E= 12;

e105..  - x239 - x254 + x269 + x464 =E= 22;

e106..  - x240 - x255 + x270 + x465 =E= 21;

e107..    x226 - x256 - x271 - x286 + x316 + x511 =E= 6;

e108..    x227 - x257 - x272 - x287 + x317 + x512 =E= 14;

e109..    x228 - x258 - x273 - x288 + x318 + x513 =E= 6;

e110..    x229 - x259 - x274 - x289 + x319 + x514 =E= 21;

e111..    x230 - x260 - x275 - x290 + x320 + x515 =E= 20;

e112..    x231 - x261 - x276 - x291 + x321 + x516 =E= 20;

e113..    x232 - x262 - x277 - x292 + x322 + x517 =E= 13;

e114..    x233 - x263 - x278 - x293 + x323 + x518 =E= -206;

e115..    x234 - x264 - x279 - x294 + x324 + x519 =E= 15;

e116..    x235 - x265 - x280 - x295 + x325 + x520 =E= 16;

e117..    x236 - x266 - x281 - x296 + x326 + x521 =E= 22;

e118..    x237 - x267 - x282 - x297 + x327 + x522 =E= 18;

e119..    x238 - x268 - x283 - x298 + x328 + x523 =E= 19;

e120..    x239 - x269 - x284 - x299 + x329 + x524 =E= 7;

e121..    x240 - x270 - x285 - x300 + x330 + x525 =E= 10;

e122..    x211 + x271 - x301 - x316 - x331 + x361 =E= 9;

e123..    x212 + x272 - x302 - x317 - x332 + x362 =E= 22;

e124..    x213 + x273 - x303 - x318 - x333 + x363 =E= 6;

e125..    x214 + x274 - x304 - x319 - x334 + x364 =E= 8;

e126..    x215 + x275 - x305 - x320 - x335 + x365 =E= 7;

e127..    x216 + x276 - x306 - x321 - x336 + x366 =E= 25;

e128..    x217 + x277 - x307 - x322 - x337 + x367 =E= 22;

e129..    x218 + x278 - x308 - x323 - x338 + x368 =E= 20;

e130..    x219 + x279 - x309 - x324 - x339 + x369 =E= -199;

e131..    x220 + x280 - x310 - x325 - x340 + x370 =E= 23;

e132..    x221 + x281 - x311 - x326 - x341 + x371 =E= 25;

e133..    x222 + x282 - x312 - x327 - x342 + x372 =E= 11;

e134..    x223 + x283 - x313 - x328 - x343 + x373 =E= 8;

e135..    x224 + x284 - x314 - x329 - x344 + x374 =E= 16;

e136..    x225 + x285 - x315 - x330 - x345 + x375 =E= 13;

e137..    x31 + x331 - x346 - x361 - x376 + x391 =E= 19;

e138..    x32 + x332 - x347 - x362 - x377 + x392 =E= 19;

e139..    x33 + x333 - x348 - x363 - x378 + x393 =E= 23;

e140..    x34 + x334 - x349 - x364 - x379 + x394 =E= 14;

e141..    x35 + x335 - x350 - x365 - x380 + x395 =E= 6;

e142..    x36 + x336 - x351 - x366 - x381 + x396 =E= 23;

e143..    x37 + x337 - x352 - x367 - x382 + x397 =E= 9;

e144..    x38 + x338 - x353 - x368 - x383 + x398 =E= 6;

e145..    x39 + x339 - x354 - x369 - x384 + x399 =E= 8;

e146..    x40 + x340 - x355 - x370 - x385 + x400 =E= -238;

e147..    x41 + x341 - x356 - x371 - x386 + x401 =E= 24;

e148..    x42 + x342 - x357 - x372 - x387 + x402 =E= 8;

e149..    x43 + x343 - x358 - x373 - x388 + x403 =E= 9;

e150..    x44 + x344 - x359 - x374 - x389 + x404 =E= 16;

e151..    x45 + x345 - x360 - x375 - x390 + x405 =E= 15;

e152..    x376 - x391 - x406 + x466 =E= 15;

e153..    x377 - x392 - x407 + x467 =E= 6;

e154..    x378 - x393 - x408 + x468 =E= 17;

e155..    x379 - x394 - x409 + x469 =E= 22;

e156..    x380 - x395 - x410 + x470 =E= 17;

e157..    x381 - x396 - x411 + x471 =E= 24;

e158..    x382 - x397 - x412 + x472 =E= 19;

e159..    x383 - x398 - x413 + x473 =E= 25;

e160..    x384 - x399 - x414 + x474 =E= 5;

e161..    x385 - x400 - x415 + x475 =E= 19;

e162..    x386 - x401 - x416 + x476 =E= -220;

e163..    x387 - x402 - x417 + x477 =E= 22;

e164..    x388 - x403 - x418 + x478 =E= 22;

e165..    x389 - x404 - x419 + x479 =E= 23;

e166..    x390 - x405 - x420 + x480 =E= 9;

e167..  - x421 + x481 =E= 12;

e168..  - x422 + x482 =E= 25;

e169..  - x423 + x483 =E= 14;

e170..  - x424 + x484 =E= 19;

e171..  - x425 + x485 =E= 10;

e172..  - x426 + x486 =E= 17;

e173..  - x427 + x487 =E= 13;

e174..  - x428 + x488 =E= 14;

e175..  - x429 + x489 =E= 12;

e176..  - x430 + x490 =E= 22;

e177..  - x431 + x491 =E= 7;

e178..  - x432 + x492 =E= -189;

e179..  - x433 + x493 =E= 21;

e180..  - x434 + x494 =E= 17;

e181..  - x435 + x495 =E= 10;

e182..    x151 + x241 + x406 + x421 - x436 - x451 - x466 - x481 - x496 + x571
        =E= 17;

e183..    x152 + x242 + x407 + x422 - x437 - x452 - x467 - x482 - x497 + x572
        =E= 18;

e184..    x153 + x243 + x408 + x423 - x438 - x453 - x468 - x483 - x498 + x573
        =E= 23;

e185..    x154 + x244 + x409 + x424 - x439 - x454 - x469 - x484 - x499 + x574
        =E= 20;

e186..    x155 + x245 + x410 + x425 - x440 - x455 - x470 - x485 - x500 + x575
        =E= 7;

e187..    x156 + x246 + x411 + x426 - x441 - x456 - x471 - x486 - x501 + x576
        =E= 16;

e188..    x157 + x247 + x412 + x427 - x442 - x457 - x472 - x487 - x502 + x577
        =E= 14;

e189..    x158 + x248 + x413 + x428 - x443 - x458 - x473 - x488 - x503 + x578
        =E= 14;

e190..    x159 + x249 + x414 + x429 - x444 - x459 - x474 - x489 - x504 + x579
        =E= 14;

e191..    x160 + x250 + x415 + x430 - x445 - x460 - x475 - x490 - x505 + x580
        =E= 8;

e192..    x161 + x251 + x416 + x431 - x446 - x461 - x476 - x491 - x506 + x581
        =E= 16;

e193..    x162 + x252 + x417 + x432 - x447 - x462 - x477 - x492 - x507 + x582
        =E= 9;

e194..    x163 + x253 + x418 + x433 - x448 - x463 - x478 - x493 - x508 + x583
        =E= -214;

e195..    x164 + x254 + x419 + x434 - x449 - x464 - x479 - x494 - x509 + x584
        =E= 24;

e196..    x165 + x255 + x420 + x435 - x450 - x465 - x480 - x495 - x510 + x585
        =E= 11;

e197..    x286 - x511 - x526 + x586 =E= 10;

e198..    x287 - x512 - x527 + x587 =E= 10;

e199..    x288 - x513 - x528 + x588 =E= 20;

e200..    x289 - x514 - x529 + x589 =E= 13;

e201..    x290 - x515 - x530 + x590 =E= 7;

e202..    x291 - x516 - x531 + x591 =E= 8;

e203..    x292 - x517 - x532 + x592 =E= 11;

e204..    x293 - x518 - x533 + x593 =E= 16;

e205..    x294 - x519 - x534 + x594 =E= 22;

e206..    x295 - x520 - x535 + x595 =E= 13;

e207..    x296 - x521 - x536 + x596 =E= 9;

e208..    x297 - x522 - x537 + x597 =E= 22;

e209..    x298 - x523 - x538 + x598 =E= 21;

e210..    x299 - x524 - x539 + x599 =E= -222;

e211..    x300 - x525 - x540 + x600 =E= 14;

e212..    x46 + x106 + x496 + x526 - x541 - x556 - x571 - x586 =E= 22;

e213..    x47 + x107 + x497 + x527 - x542 - x557 - x572 - x587 =E= 19;

e214..    x48 + x108 + x498 + x528 - x543 - x558 - x573 - x588 =E= 7;

e215..    x49 + x109 + x499 + x529 - x544 - x559 - x574 - x589 =E= 10;

e216..    x50 + x110 + x500 + x530 - x545 - x560 - x575 - x590 =E= 8;

e217..    x51 + x111 + x501 + x531 - x546 - x561 - x576 - x591 =E= 15;

e218..    x52 + x112 + x502 + x532 - x547 - x562 - x577 - x592 =E= 23;

e219..    x53 + x113 + x503 + x533 - x548 - x563 - x578 - x593 =E= 15;

e220..    x54 + x114 + x504 + x534 - x549 - x564 - x579 - x594 =E= 20;

e221..    x55 + x115 + x505 + x535 - x550 - x565 - x580 - x595 =E= 18;

e222..    x56 + x116 + x506 + x536 - x551 - x566 - x581 - x596 =E= 23;

e223..    x57 + x117 + x507 + x537 - x552 - x567 - x582 - x597 =E= 11;

e224..    x58 + x118 + x508 + x538 - x553 - x568 - x583 - x598 =E= 20;

e225..    x59 + x119 + x509 + x539 - x554 - x569 - x584 - x599 =E= 21;

e226..    x60 + x120 + x510 + x540 - x555 - x570 - x585 - x600 =E= -193;

e227..  - x1 - x2 - x3 - x4 - x5 - x6 - x7 - x8 - x9 - x10 - x11 - x12 - x13
        - x14 - x15 + x682 =G= 0;

e228..  - x16 - x17 - x18 - x19 - x20 - x21 - x22 - x23 - x24 - x25 - x26 - x27
        - x28 - x29 - x30 + x683 =G= 0;

e229..  - x31 - x32 - x33 - x34 - x35 - x36 - x37 - x38 - x39 - x40 - x41 - x42
        - x43 - x44 - x45 + x684 =G= 0;

e230..  - x46 - x47 - x48 - x49 - x50 - x51 - x52 - x53 - x54 - x55 - x56 - x57
        - x58 - x59 - x60 + x685 =G= 0;

e231..  - x61 - x62 - x63 - x64 - x65 - x66 - x67 - x68 - x69 - x70 - x71 - x72
        - x73 - x74 - x75 + x686 =G= 0;

e232..  - x76 - x77 - x78 - x79 - x80 - x81 - x82 - x83 - x84 - x85 - x86 - x87
        - x88 - x89 - x90 + x687 =G= 0;

e233..  - x91 - x92 - x93 - x94 - x95 - x96 - x97 - x98 - x99 - x100 - x101
        - x102 - x103 - x104 - x105 + x688 =G= 0;

e234..  - x106 - x107 - x108 - x109 - x110 - x111 - x112 - x113 - x114 - x115
        - x116 - x117 - x118 - x119 - x120 + x689 =G= 0;

e235..  - x121 - x122 - x123 - x124 - x125 - x126 - x127 - x128 - x129 - x130
        - x131 - x132 - x133 - x134 - x135 + x690 =G= 0;

e236..  - x136 - x137 - x138 - x139 - x140 - x141 - x142 - x143 - x144 - x145
        - x146 - x147 - x148 - x149 - x150 + x691 =G= 0;

e237..  - x151 - x152 - x153 - x154 - x155 - x156 - x157 - x158 - x159 - x160
        - x161 - x162 - x163 - x164 - x165 + x692 =G= 0;

e238..  - x166 - x167 - x168 - x169 - x170 - x171 - x172 - x173 - x174 - x175
        - x176 - x177 - x178 - x179 - x180 + x693 =G= 0;

e239..  - x181 - x182 - x183 - x184 - x185 - x186 - x187 - x188 - x189 - x190
        - x191 - x192 - x193 - x194 - x195 + x694 =G= 0;

e240..  - x196 - x197 - x198 - x199 - x200 - x201 - x202 - x203 - x204 - x205
        - x206 - x207 - x208 - x209 - x210 + x695 =G= 0;

e241..  - x211 - x212 - x213 - x214 - x215 - x216 - x217 - x218 - x219 - x220
        - x221 - x222 - x223 - x224 - x225 + x696 =G= 0;

e242..  - x226 - x227 - x228 - x229 - x230 - x231 - x232 - x233 - x234 - x235
        - x236 - x237 - x238 - x239 - x240 + x697 =G= 0;

e243..  - x241 - x242 - x243 - x244 - x245 - x246 - x247 - x248 - x249 - x250
        - x251 - x252 - x253 - x254 - x255 + x698 =G= 0;

e244..  - x256 - x257 - x258 - x259 - x260 - x261 - x262 - x263 - x264 - x265
        - x266 - x267 - x268 - x269 - x270 + x699 =G= 0;

e245..  - x271 - x272 - x273 - x274 - x275 - x276 - x277 - x278 - x279 - x280
        - x281 - x282 - x283 - x284 - x285 + x700 =G= 0;

e246..  - x286 - x287 - x288 - x289 - x290 - x291 - x292 - x293 - x294 - x295
        - x296 - x297 - x298 - x299 - x300 + x701 =G= 0;

e247..  - x301 - x302 - x303 - x304 - x305 - x306 - x307 - x308 - x309 - x310
        - x311 - x312 - x313 - x314 - x315 + x702 =G= 0;

e248..  - x316 - x317 - x318 - x319 - x320 - x321 - x322 - x323 - x324 - x325
        - x326 - x327 - x328 - x329 - x330 + x703 =G= 0;

e249..  - x331 - x332 - x333 - x334 - x335 - x336 - x337 - x338 - x339 - x340
        - x341 - x342 - x343 - x344 - x345 + x704 =G= 0;

e250..  - x346 - x347 - x348 - x349 - x350 - x351 - x352 - x353 - x354 - x355
        - x356 - x357 - x358 - x359 - x360 + x705 =G= 0;

e251..  - x361 - x362 - x363 - x364 - x365 - x366 - x367 - x368 - x369 - x370
        - x371 - x372 - x373 - x374 - x375 + x706 =G= 0;

e252..  - x376 - x377 - x378 - x379 - x380 - x381 - x382 - x383 - x384 - x385
        - x386 - x387 - x388 - x389 - x390 + x707 =G= 0;

e253..  - x391 - x392 - x393 - x394 - x395 - x396 - x397 - x398 - x399 - x400
        - x401 - x402 - x403 - x404 - x405 + x708 =G= 0;

e254..  - x406 - x407 - x408 - x409 - x410 - x411 - x412 - x413 - x414 - x415
        - x416 - x417 - x418 - x419 - x420 + x709 =G= 0;

e255..  - x421 - x422 - x423 - x424 - x425 - x426 - x427 - x428 - x429 - x430
        - x431 - x432 - x433 - x434 - x435 + x710 =G= 0;

e256..  - x436 - x437 - x438 - x439 - x440 - x441 - x442 - x443 - x444 - x445
        - x446 - x447 - x448 - x449 - x450 + x711 =G= 0;

e257..  - x451 - x452 - x453 - x454 - x455 - x456 - x457 - x458 - x459 - x460
        - x461 - x462 - x463 - x464 - x465 + x712 =G= 0;

e258..  - x466 - x467 - x468 - x469 - x470 - x471 - x472 - x473 - x474 - x475
        - x476 - x477 - x478 - x479 - x480 + x713 =G= 0;

e259..  - x481 - x482 - x483 - x484 - x485 - x486 - x487 - x488 - x489 - x490
        - x491 - x492 - x493 - x494 - x495 + x714 =G= 0;

e260..  - x496 - x497 - x498 - x499 - x500 - x501 - x502 - x503 - x504 - x505
        - x506 - x507 - x508 - x509 - x510 + x715 =G= 0;

e261..  - x511 - x512 - x513 - x514 - x515 - x516 - x517 - x518 - x519 - x520
        - x521 - x522 - x523 - x524 - x525 + x716 =G= 0;

e262..  - x526 - x527 - x528 - x529 - x530 - x531 - x532 - x533 - x534 - x535
        - x536 - x537 - x538 - x539 - x540 + x717 =G= 0;

e263..  - x541 - x542 - x543 - x544 - x545 - x546 - x547 - x548 - x549 - x550
        - x551 - x552 - x553 - x554 - x555 + x718 =G= 0;

e264..  - x556 - x557 - x558 - x559 - x560 - x561 - x562 - x563 - x564 - x565
        - x566 - x567 - x568 - x569 - x570 + x719 =G= 0;

e265..  - x571 - x572 - x573 - x574 - x575 - x576 - x577 - x578 - x579 - x580
        - x581 - x582 - x583 - x584 - x585 + x720 =G= 0;

e266..  - x586 - x587 - x588 - x589 - x590 - x591 - x592 - x593 - x594 - x595
        - x596 - x597 - x598 - x599 - x600 + x721 =G= 0;

e267.. 526*x682*b601 - 526*b601*x641 + x682*x641 =L= 0;

e268.. 348*x683*b602 - 348*b602*x642 + x683*x642 =L= 0;

e269.. 712*x684*b603 - 712*b603*x643 + x684*x643 =L= 0;

e270.. 333*x685*b604 - 333*b604*x644 + x685*x644 =L= 0;

e271.. 526*x686*b605 - 526*b605*x645 + x686*x645 =L= 0;

e272.. 734*x687*b606 - 734*b606*x646 + x687*x646 =L= 0;

e273.. 580*x688*b607 - 580*b607*x647 + x688*x647 =L= 0;

e274.. 415*x689*b608 - 415*b608*x648 + x689*x648 =L= 0;

e275.. 734*x690*b609 - 734*b609*x649 + x690*x649 =L= 0;

e276.. 580*x691*b610 - 580*b610*x650 + x691*x650 =L= 0;

e277.. 212*x692*b611 - 212*b611*x651 + x692*x651 =L= 0;

e278.. 404*x693*b612 - 404*b612*x652 + x693*x652 =L= 0;

e279.. 348*x694*b613 - 348*b613*x653 + x694*x653 =L= 0;

e280.. 404*x695*b614 - 404*b614*x654 + x695*x654 =L= 0;

e281.. 662*x696*b615 - 662*b615*x655 + x696*x655 =L= 0;

e282.. 478*x697*b616 - 478*b616*x656 + x697*x656 =L= 0;

e283.. 323*x698*b617 - 323*b617*x657 + x698*x657 =L= 0;

e284.. 478*x699*b618 - 478*b618*x658 + x699*x658 =L= 0;

e285.. 243*x700*b619 - 243*b619*x659 + x700*x659 =L= 0;

e286.. 547*x701*b620 - 547*b620*x660 + x701*x660 =L= 0;

e287.. 662*x702*b621 - 662*b621*x661 + x702*x661 =L= 0;

e288.. 243*x703*b622 - 243*b622*x662 + x703*x662 =L= 0;

e289.. 242*x704*b623 - 242*b623*x663 + x704*x663 =L= 0;

e290.. 712*x705*b624 - 712*b624*x664 + x705*x664 =L= 0;

e291.. 242*x706*b625 - 242*b625*x665 + x706*x665 =L= 0;

e292.. 579*x707*b626 - 579*b626*x666 + x707*x666 =L= 0;

e293.. 579*x708*b627 - 579*b627*x667 + x708*x667 =L= 0;

e294.. 664*x709*b628 - 664*b628*x668 + x709*x668 =L= 0;

e295.. 358*x710*b629 - 358*b629*x669 + x710*x669 =L= 0;

e296.. 212*x711*b630 - 212*b630*x670 + x711*x670 =L= 0;

e297.. 323*x712*b631 - 323*b631*x671 + x712*x671 =L= 0;

e298.. 664*x713*b632 - 664*b632*x672 + x713*x672 =L= 0;

e299.. 358*x714*b633 - 358*b633*x673 + x714*x673 =L= 0;

e300.. 161*x715*b634 - 161*b634*x674 + x715*x674 =L= 0;

e301.. 547*x716*b635 - 547*b635*x675 + x716*x675 =L= 0;

e302.. 649*x717*b636 - 649*b636*x676 + x717*x676 =L= 0;

e303.. 333*x718*b637 - 333*b637*x677 + x718*x677 =L= 0;

e304.. 415*x719*b638 - 415*b638*x678 + x719*x678 =L= 0;

e305.. 161*x720*b639 - 161*b639*x679 + x720*x679 =L= 0;

e306.. 649*x721*b640 - 649*b640*x680 + x721*x680 =L= 0;

e307..    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
        =L= 18954;

e308..    x1 + x2 + x3 + x4 + x5 + x6 + x7 + x8 + x9 + x10 + x11 + x12 + x13
        + x14 + x15 - 526*b601 =L= 0;

e309..    x16 + x17 + x18 + x19 + x20 + x21 + x22 + x23 + x24 + x25 + x26 + x27
        + x28 + x29 + x30 - 348*b602 =L= 0;

e310..    x31 + x32 + x33 + x34 + x35 + x36 + x37 + x38 + x39 + x40 + x41 + x42
        + x43 + x44 + x45 - 712*b603 =L= 0;

e311..    x46 + x47 + x48 + x49 + x50 + x51 + x52 + x53 + x54 + x55 + x56 + x57
        + x58 + x59 + x60 - 333*b604 =L= 0;

e312..    x61 + x62 + x63 + x64 + x65 + x66 + x67 + x68 + x69 + x70 + x71 + x72
        + x73 + x74 + x75 - 526*b605 =L= 0;

e313..    x76 + x77 + x78 + x79 + x80 + x81 + x82 + x83 + x84 + x85 + x86 + x87
        + x88 + x89 + x90 - 734*b606 =L= 0;

e314..    x91 + x92 + x93 + x94 + x95 + x96 + x97 + x98 + x99 + x100 + x101
        + x102 + x103 + x104 + x105 - 580*b607 =L= 0;

e315..    x106 + x107 + x108 + x109 + x110 + x111 + x112 + x113 + x114 + x115
        + x116 + x117 + x118 + x119 + x120 - 415*b608 =L= 0;

e316..    x121 + x122 + x123 + x124 + x125 + x126 + x127 + x128 + x129 + x130
        + x131 + x132 + x133 + x134 + x135 - 734*b609 =L= 0;

e317..    x136 + x137 + x138 + x139 + x140 + x141 + x142 + x143 + x144 + x145
        + x146 + x147 + x148 + x149 + x150 - 580*b610 =L= 0;

e318..    x151 + x152 + x153 + x154 + x155 + x156 + x157 + x158 + x159 + x160
        + x161 + x162 + x163 + x164 + x165 - 212*b611 =L= 0;

e319..    x166 + x167 + x168 + x169 + x170 + x171 + x172 + x173 + x174 + x175
        + x176 + x177 + x178 + x179 + x180 - 404*b612 =L= 0;

e320..    x181 + x182 + x183 + x184 + x185 + x186 + x187 + x188 + x189 + x190
        + x191 + x192 + x193 + x194 + x195 - 348*b613 =L= 0;

e321..    x196 + x197 + x198 + x199 + x200 + x201 + x202 + x203 + x204 + x205
        + x206 + x207 + x208 + x209 + x210 - 404*b614 =L= 0;

e322..    x211 + x212 + x213 + x214 + x215 + x216 + x217 + x218 + x219 + x220
        + x221 + x222 + x223 + x224 + x225 - 662*b615 =L= 0;

e323..    x226 + x227 + x228 + x229 + x230 + x231 + x232 + x233 + x234 + x235
        + x236 + x237 + x238 + x239 + x240 - 478*b616 =L= 0;

e324..    x241 + x242 + x243 + x244 + x245 + x246 + x247 + x248 + x249 + x250
        + x251 + x252 + x253 + x254 + x255 - 323*b617 =L= 0;

e325..    x256 + x257 + x258 + x259 + x260 + x261 + x262 + x263 + x264 + x265
        + x266 + x267 + x268 + x269 + x270 - 478*b618 =L= 0;

e326..    x271 + x272 + x273 + x274 + x275 + x276 + x277 + x278 + x279 + x280
        + x281 + x282 + x283 + x284 + x285 - 243*b619 =L= 0;

e327..    x286 + x287 + x288 + x289 + x290 + x291 + x292 + x293 + x294 + x295
        + x296 + x297 + x298 + x299 + x300 - 547*b620 =L= 0;

e328..    x301 + x302 + x303 + x304 + x305 + x306 + x307 + x308 + x309 + x310
        + x311 + x312 + x313 + x314 + x315 - 662*b621 =L= 0;

e329..    x316 + x317 + x318 + x319 + x320 + x321 + x322 + x323 + x324 + x325
        + x326 + x327 + x328 + x329 + x330 - 243*b622 =L= 0;

e330..    x331 + x332 + x333 + x334 + x335 + x336 + x337 + x338 + x339 + x340
        + x341 + x342 + x343 + x344 + x345 - 242*b623 =L= 0;

e331..    x346 + x347 + x348 + x349 + x350 + x351 + x352 + x353 + x354 + x355
        + x356 + x357 + x358 + x359 + x360 - 712*b624 =L= 0;

e332..    x361 + x362 + x363 + x364 + x365 + x366 + x367 + x368 + x369 + x370
        + x371 + x372 + x373 + x374 + x375 - 242*b625 =L= 0;

e333..    x376 + x377 + x378 + x379 + x380 + x381 + x382 + x383 + x384 + x385
        + x386 + x387 + x388 + x389 + x390 - 579*b626 =L= 0;

e334..    x391 + x392 + x393 + x394 + x395 + x396 + x397 + x398 + x399 + x400
        + x401 + x402 + x403 + x404 + x405 - 579*b627 =L= 0;

e335..    x406 + x407 + x408 + x409 + x410 + x411 + x412 + x413 + x414 + x415
        + x416 + x417 + x418 + x419 + x420 - 664*b628 =L= 0;

e336..    x421 + x422 + x423 + x424 + x425 + x426 + x427 + x428 + x429 + x430
        + x431 + x432 + x433 + x434 + x435 - 358*b629 =L= 0;

e337..    x436 + x437 + x438 + x439 + x440 + x441 + x442 + x443 + x444 + x445
        + x446 + x447 + x448 + x449 + x450 - 212*b630 =L= 0;

e338..    x451 + x452 + x453 + x454 + x455 + x456 + x457 + x458 + x459 + x460
        + x461 + x462 + x463 + x464 + x465 - 323*b631 =L= 0;

e339..    x466 + x467 + x468 + x469 + x470 + x471 + x472 + x473 + x474 + x475
        + x476 + x477 + x478 + x479 + x480 - 664*b632 =L= 0;

e340..    x481 + x482 + x483 + x484 + x485 + x486 + x487 + x488 + x489 + x490
        + x491 + x492 + x493 + x494 + x495 - 358*b633 =L= 0;

e341..    x496 + x497 + x498 + x499 + x500 + x501 + x502 + x503 + x504 + x505
        + x506 + x507 + x508 + x509 + x510 - 161*b634 =L= 0;

e342..    x511 + x512 + x513 + x514 + x515 + x516 + x517 + x518 + x519 + x520
        + x521 + x522 + x523 + x524 + x525 - 547*b635 =L= 0;

e343..    x526 + x527 + x528 + x529 + x530 + x531 + x532 + x533 + x534 + x535
        + x536 + x537 + x538 + x539 + x540 - 649*b636 =L= 0;

e344..    x541 + x542 + x543 + x544 + x545 + x546 + x547 + x548 + x549 + x550
        + x551 + x552 + x553 + x554 + x555 - 333*b637 =L= 0;

e345..    x556 + x557 + x558 + x559 + x560 + x561 + x562 + x563 + x564 + x565
        + x566 + x567 + x568 + x569 + x570 - 415*b638 =L= 0;

e346..    x571 + x572 + x573 + x574 + x575 + x576 + x577 + x578 + x579 + x580
        + x581 + x582 + x583 + x584 + x585 - 161*b639 =L= 0;

e347..    x586 + x587 + x588 + x589 + x590 + x591 + x592 + x593 + x594 + x595
        + x596 + x597 + x598 + x599 + x600 - 649*b640 =L= 0;

Model m / all /;

m.limrow=0; m.limcol=0;
m.tolproj=0.0;

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

$if not set MINLP $set MINLP MINLP
Solve m using %MINLP% minimizing objvar;


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