MINLPLib

A Library of Mixed-Integer and Continuous Nonlinear Programming Instances

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Instance: ndcc15

Multicommodity network design problem with congestion constraints and fixed costs for opening arcs.
Formats ams gms lp mod nl osil pip
Primal Bounds (infeas ≤ 1e-08)
94.61120710 p1 ( gdx sol )
(infeas: 5e-11)
Other points (infeas > 1e-08)  
Dual Bounds
76.10428980 (ANTIGONE)
76.10428980 (BARON)
76.10428980 (COUENNE)
76.10428980 (LINDO)
76.10428980 (SCIP)
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 680
#Binary Variables 40
#Integer Variables 0
#Nonlinear Variables 640
#Nonlinear Binary Variables 0
#Nonlinear Integer Variables 0
Objective Sense min
Objective type linear
Objective curvature linear
#Nonzeros in Objective 40
#Nonlinear Nonzeros in Objective 0
#Constraints 306
#Linear Constraints 266
#Quadratic Constraints 40
#Polynomial Constraints 0
#Signomial Constraints 0
#General Nonlinear Constraints 0
Operands in Gen. Nonlin. Functions  
Constraints curvature indefinite
#Nonzeros in Jacobian 2520
#Nonlinear Nonzeros in Jacobian 640
#Nonzeros in (Upper-Left) Hessian of Lagrangian 1200
#Nonzeros in Diagonal of Hessian of Lagrangian 0
#Blocks in Hessian of Lagrangian 40
Minimal blocksize in Hessian of Lagrangian 16
Maximal blocksize in Hessian of Lagrangian 16
Average blocksize in Hessian of Lagrangian 16.0
#Semicontinuities 0
#Nonlinear Semicontinuities 0
#SOS type 1 0
#SOS type 2 0
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
*        307      226       40       41        0        0        0        0
*  
*  Variable counts
*                   x        b        i      s1s      s2s       sc       si
*      Total     cont   binary  integer     sos1     sos2    scont     sint
*        681      641       40        0        0        0        0        0
*  FX      0
*  
*  Nonzero counts
*      Total    const       NL      DLL
*       2561     1921      640        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;

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;

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;


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.. (526 - x1 - x2 - x3 - x4 - x5 - x6 - x7 - x8 - x9 - x10 - x11 - x12 - 
       x13 - x14 - x15)*x641 - 526*x1 - 526*x2 - 526*x3 - 526*x4 - 526*x5 - 526
       *x6 - 526*x7 - 526*x8 - 526*x9 - 526*x10 - 526*x11 - 526*x12 - 526*x13
        - 526*x14 - 526*x15 =G= 0;

e228.. (348 - x16 - x17 - x18 - x19 - x20 - x21 - x22 - x23 - x24 - x25 - x26
        - x27 - x28 - x29 - x30)*x642 - 348*x16 - 348*x17 - 348*x18 - 348*x19
        - 348*x20 - 348*x21 - 348*x22 - 348*x23 - 348*x24 - 348*x25 - 348*x26
        - 348*x27 - 348*x28 - 348*x29 - 348*x30 =G= 0;

e229.. (712 - x31 - x32 - x33 - x34 - x35 - x36 - x37 - x38 - x39 - x40 - x41
        - x42 - x43 - x44 - x45)*x643 - 712*x31 - 712*x32 - 712*x33 - 712*x34
        - 712*x35 - 712*x36 - 712*x37 - 712*x38 - 712*x39 - 712*x40 - 712*x41
        - 712*x42 - 712*x43 - 712*x44 - 712*x45 =G= 0;

e230.. (333 - x46 - x47 - x48 - x49 - x50 - x51 - x52 - x53 - x54 - x55 - x56
        - x57 - x58 - x59 - x60)*x644 - 333*x46 - 333*x47 - 333*x48 - 333*x49
        - 333*x50 - 333*x51 - 333*x52 - 333*x53 - 333*x54 - 333*x55 - 333*x56
        - 333*x57 - 333*x58 - 333*x59 - 333*x60 =G= 0;

e231.. (526 - x61 - x62 - x63 - x64 - x65 - x66 - x67 - x68 - x69 - x70 - x71
        - x72 - x73 - x74 - x75)*x645 - 526*x61 - 526*x62 - 526*x63 - 526*x64
        - 526*x65 - 526*x66 - 526*x67 - 526*x68 - 526*x69 - 526*x70 - 526*x71
        - 526*x72 - 526*x73 - 526*x74 - 526*x75 =G= 0;

e232.. (734 - x76 - x77 - x78 - x79 - x80 - x81 - x82 - x83 - x84 - x85 - x86
        - x87 - x88 - x89 - x90)*x646 - 734*x76 - 734*x77 - 734*x78 - 734*x79
        - 734*x80 - 734*x81 - 734*x82 - 734*x83 - 734*x84 - 734*x85 - 734*x86
        - 734*x87 - 734*x88 - 734*x89 - 734*x90 =G= 0;

e233.. (580 - x91 - x92 - x93 - x94 - x95 - x96 - x97 - x98 - x99 - x100 - x101
        - x102 - x103 - x104 - x105)*x647 - 580*x91 - 580*x92 - 580*x93 - 580*
       x94 - 580*x95 - 580*x96 - 580*x97 - 580*x98 - 580*x99 - 580*x100 - 580*
       x101 - 580*x102 - 580*x103 - 580*x104 - 580*x105 =G= 0;

e234.. (415 - x106 - x107 - x108 - x109 - x110 - x111 - x112 - x113 - x114 - 
       x115 - x116 - x117 - x118 - x119 - x120)*x648 - 415*x106 - 415*x107 - 
       415*x108 - 415*x109 - 415*x110 - 415*x111 - 415*x112 - 415*x113 - 415*
       x114 - 415*x115 - 415*x116 - 415*x117 - 415*x118 - 415*x119 - 415*x120
        =G= 0;

e235.. (734 - x121 - x122 - x123 - x124 - x125 - x126 - x127 - x128 - x129 - 
       x130 - x131 - x132 - x133 - x134 - x135)*x649 - 734*x121 - 734*x122 - 
       734*x123 - 734*x124 - 734*x125 - 734*x126 - 734*x127 - 734*x128 - 734*
       x129 - 734*x130 - 734*x131 - 734*x132 - 734*x133 - 734*x134 - 734*x135
        =G= 0;

e236.. (580 - x136 - x137 - x138 - x139 - x140 - x141 - x142 - x143 - x144 - 
       x145 - x146 - x147 - x148 - x149 - x150)*x650 - 580*x136 - 580*x137 - 
       580*x138 - 580*x139 - 580*x140 - 580*x141 - 580*x142 - 580*x143 - 580*
       x144 - 580*x145 - 580*x146 - 580*x147 - 580*x148 - 580*x149 - 580*x150
        =G= 0;

e237.. (212 - x151 - x152 - x153 - x154 - x155 - x156 - x157 - x158 - x159 - 
       x160 - x161 - x162 - x163 - x164 - x165)*x651 - 212*x151 - 212*x152 - 
       212*x153 - 212*x154 - 212*x155 - 212*x156 - 212*x157 - 212*x158 - 212*
       x159 - 212*x160 - 212*x161 - 212*x162 - 212*x163 - 212*x164 - 212*x165
        =G= 0;

e238.. (404 - x166 - x167 - x168 - x169 - x170 - x171 - x172 - x173 - x174 - 
       x175 - x176 - x177 - x178 - x179 - x180)*x652 - 404*x166 - 404*x167 - 
       404*x168 - 404*x169 - 404*x170 - 404*x171 - 404*x172 - 404*x173 - 404*
       x174 - 404*x175 - 404*x176 - 404*x177 - 404*x178 - 404*x179 - 404*x180
        =G= 0;

e239.. (348 - x181 - x182 - x183 - x184 - x185 - x186 - x187 - x188 - x189 - 
       x190 - x191 - x192 - x193 - x194 - x195)*x653 - 348*x181 - 348*x182 - 
       348*x183 - 348*x184 - 348*x185 - 348*x186 - 348*x187 - 348*x188 - 348*
       x189 - 348*x190 - 348*x191 - 348*x192 - 348*x193 - 348*x194 - 348*x195
        =G= 0;

e240.. (404 - x196 - x197 - x198 - x199 - x200 - x201 - x202 - x203 - x204 - 
       x205 - x206 - x207 - x208 - x209 - x210)*x654 - 404*x196 - 404*x197 - 
       404*x198 - 404*x199 - 404*x200 - 404*x201 - 404*x202 - 404*x203 - 404*
       x204 - 404*x205 - 404*x206 - 404*x207 - 404*x208 - 404*x209 - 404*x210
        =G= 0;

e241.. (662 - x211 - x212 - x213 - x214 - x215 - x216 - x217 - x218 - x219 - 
       x220 - x221 - x222 - x223 - x224 - x225)*x655 - 662*x211 - 662*x212 - 
       662*x213 - 662*x214 - 662*x215 - 662*x216 - 662*x217 - 662*x218 - 662*
       x219 - 662*x220 - 662*x221 - 662*x222 - 662*x223 - 662*x224 - 662*x225
        =G= 0;

e242.. (478 - x226 - x227 - x228 - x229 - x230 - x231 - x232 - x233 - x234 - 
       x235 - x236 - x237 - x238 - x239 - x240)*x656 - 478*x226 - 478*x227 - 
       478*x228 - 478*x229 - 478*x230 - 478*x231 - 478*x232 - 478*x233 - 478*
       x234 - 478*x235 - 478*x236 - 478*x237 - 478*x238 - 478*x239 - 478*x240
        =G= 0;

e243.. (323 - x241 - x242 - x243 - x244 - x245 - x246 - x247 - x248 - x249 - 
       x250 - x251 - x252 - x253 - x254 - x255)*x657 - 323*x241 - 323*x242 - 
       323*x243 - 323*x244 - 323*x245 - 323*x246 - 323*x247 - 323*x248 - 323*
       x249 - 323*x250 - 323*x251 - 323*x252 - 323*x253 - 323*x254 - 323*x255
        =G= 0;

e244.. (478 - x256 - x257 - x258 - x259 - x260 - x261 - x262 - x263 - x264 - 
       x265 - x266 - x267 - x268 - x269 - x270)*x658 - 478*x256 - 478*x257 - 
       478*x258 - 478*x259 - 478*x260 - 478*x261 - 478*x262 - 478*x263 - 478*
       x264 - 478*x265 - 478*x266 - 478*x267 - 478*x268 - 478*x269 - 478*x270
        =G= 0;

e245.. (243 - x271 - x272 - x273 - x274 - x275 - x276 - x277 - x278 - x279 - 
       x280 - x281 - x282 - x283 - x284 - x285)*x659 - 243*x271 - 243*x272 - 
       243*x273 - 243*x274 - 243*x275 - 243*x276 - 243*x277 - 243*x278 - 243*
       x279 - 243*x280 - 243*x281 - 243*x282 - 243*x283 - 243*x284 - 243*x285
        =G= 0;

e246.. (547 - x286 - x287 - x288 - x289 - x290 - x291 - x292 - x293 - x294 - 
       x295 - x296 - x297 - x298 - x299 - x300)*x660 - 547*x286 - 547*x287 - 
       547*x288 - 547*x289 - 547*x290 - 547*x291 - 547*x292 - 547*x293 - 547*
       x294 - 547*x295 - 547*x296 - 547*x297 - 547*x298 - 547*x299 - 547*x300
        =G= 0;

e247.. (662 - x301 - x302 - x303 - x304 - x305 - x306 - x307 - x308 - x309 - 
       x310 - x311 - x312 - x313 - x314 - x315)*x661 - 662*x301 - 662*x302 - 
       662*x303 - 662*x304 - 662*x305 - 662*x306 - 662*x307 - 662*x308 - 662*
       x309 - 662*x310 - 662*x311 - 662*x312 - 662*x313 - 662*x314 - 662*x315
        =G= 0;

e248.. (243 - x316 - x317 - x318 - x319 - x320 - x321 - x322 - x323 - x324 - 
       x325 - x326 - x327 - x328 - x329 - x330)*x662 - 243*x316 - 243*x317 - 
       243*x318 - 243*x319 - 243*x320 - 243*x321 - 243*x322 - 243*x323 - 243*
       x324 - 243*x325 - 243*x326 - 243*x327 - 243*x328 - 243*x329 - 243*x330
        =G= 0;

e249.. (242 - x331 - x332 - x333 - x334 - x335 - x336 - x337 - x338 - x339 - 
       x340 - x341 - x342 - x343 - x344 - x345)*x663 - 242*x331 - 242*x332 - 
       242*x333 - 242*x334 - 242*x335 - 242*x336 - 242*x337 - 242*x338 - 242*
       x339 - 242*x340 - 242*x341 - 242*x342 - 242*x343 - 242*x344 - 242*x345
        =G= 0;

e250.. (712 - x346 - x347 - x348 - x349 - x350 - x351 - x352 - x353 - x354 - 
       x355 - x356 - x357 - x358 - x359 - x360)*x664 - 712*x346 - 712*x347 - 
       712*x348 - 712*x349 - 712*x350 - 712*x351 - 712*x352 - 712*x353 - 712*
       x354 - 712*x355 - 712*x356 - 712*x357 - 712*x358 - 712*x359 - 712*x360
        =G= 0;

e251.. (242 - x361 - x362 - x363 - x364 - x365 - x366 - x367 - x368 - x369 - 
       x370 - x371 - x372 - x373 - x374 - x375)*x665 - 242*x361 - 242*x362 - 
       242*x363 - 242*x364 - 242*x365 - 242*x366 - 242*x367 - 242*x368 - 242*
       x369 - 242*x370 - 242*x371 - 242*x372 - 242*x373 - 242*x374 - 242*x375
        =G= 0;

e252.. (579 - x376 - x377 - x378 - x379 - x380 - x381 - x382 - x383 - x384 - 
       x385 - x386 - x387 - x388 - x389 - x390)*x666 - 579*x376 - 579*x377 - 
       579*x378 - 579*x379 - 579*x380 - 579*x381 - 579*x382 - 579*x383 - 579*
       x384 - 579*x385 - 579*x386 - 579*x387 - 579*x388 - 579*x389 - 579*x390
        =G= 0;

e253.. (579 - x391 - x392 - x393 - x394 - x395 - x396 - x397 - x398 - x399 - 
       x400 - x401 - x402 - x403 - x404 - x405)*x667 - 579*x391 - 579*x392 - 
       579*x393 - 579*x394 - 579*x395 - 579*x396 - 579*x397 - 579*x398 - 579*
       x399 - 579*x400 - 579*x401 - 579*x402 - 579*x403 - 579*x404 - 579*x405
        =G= 0;

e254.. (664 - x406 - x407 - x408 - x409 - x410 - x411 - x412 - x413 - x414 - 
       x415 - x416 - x417 - x418 - x419 - x420)*x668 - 664*x406 - 664*x407 - 
       664*x408 - 664*x409 - 664*x410 - 664*x411 - 664*x412 - 664*x413 - 664*
       x414 - 664*x415 - 664*x416 - 664*x417 - 664*x418 - 664*x419 - 664*x420
        =G= 0;

e255.. (358 - x421 - x422 - x423 - x424 - x425 - x426 - x427 - x428 - x429 - 
       x430 - x431 - x432 - x433 - x434 - x435)*x669 - 358*x421 - 358*x422 - 
       358*x423 - 358*x424 - 358*x425 - 358*x426 - 358*x427 - 358*x428 - 358*
       x429 - 358*x430 - 358*x431 - 358*x432 - 358*x433 - 358*x434 - 358*x435
        =G= 0;

e256.. (212 - x436 - x437 - x438 - x439 - x440 - x441 - x442 - x443 - x444 - 
       x445 - x446 - x447 - x448 - x449 - x450)*x670 - 212*x436 - 212*x437 - 
       212*x438 - 212*x439 - 212*x440 - 212*x441 - 212*x442 - 212*x443 - 212*
       x444 - 212*x445 - 212*x446 - 212*x447 - 212*x448 - 212*x449 - 212*x450
        =G= 0;

e257.. (323 - x451 - x452 - x453 - x454 - x455 - x456 - x457 - x458 - x459 - 
       x460 - x461 - x462 - x463 - x464 - x465)*x671 - 323*x451 - 323*x452 - 
       323*x453 - 323*x454 - 323*x455 - 323*x456 - 323*x457 - 323*x458 - 323*
       x459 - 323*x460 - 323*x461 - 323*x462 - 323*x463 - 323*x464 - 323*x465
        =G= 0;

e258.. (664 - x466 - x467 - x468 - x469 - x470 - x471 - x472 - x473 - x474 - 
       x475 - x476 - x477 - x478 - x479 - x480)*x672 - 664*x466 - 664*x467 - 
       664*x468 - 664*x469 - 664*x470 - 664*x471 - 664*x472 - 664*x473 - 664*
       x474 - 664*x475 - 664*x476 - 664*x477 - 664*x478 - 664*x479 - 664*x480
        =G= 0;

e259.. (358 - x481 - x482 - x483 - x484 - x485 - x486 - x487 - x488 - x489 - 
       x490 - x491 - x492 - x493 - x494 - x495)*x673 - 358*x481 - 358*x482 - 
       358*x483 - 358*x484 - 358*x485 - 358*x486 - 358*x487 - 358*x488 - 358*
       x489 - 358*x490 - 358*x491 - 358*x492 - 358*x493 - 358*x494 - 358*x495
        =G= 0;

e260.. (161 - x496 - x497 - x498 - x499 - x500 - x501 - x502 - x503 - x504 - 
       x505 - x506 - x507 - x508 - x509 - x510)*x674 - 161*x496 - 161*x497 - 
       161*x498 - 161*x499 - 161*x500 - 161*x501 - 161*x502 - 161*x503 - 161*
       x504 - 161*x505 - 161*x506 - 161*x507 - 161*x508 - 161*x509 - 161*x510
        =G= 0;

e261.. (547 - x511 - x512 - x513 - x514 - x515 - x516 - x517 - x518 - x519 - 
       x520 - x521 - x522 - x523 - x524 - x525)*x675 - 547*x511 - 547*x512 - 
       547*x513 - 547*x514 - 547*x515 - 547*x516 - 547*x517 - 547*x518 - 547*
       x519 - 547*x520 - 547*x521 - 547*x522 - 547*x523 - 547*x524 - 547*x525
        =G= 0;

e262.. (649 - x526 - x527 - x528 - x529 - x530 - x531 - x532 - x533 - x534 - 
       x535 - x536 - x537 - x538 - x539 - x540)*x676 - 649*x526 - 649*x527 - 
       649*x528 - 649*x529 - 649*x530 - 649*x531 - 649*x532 - 649*x533 - 649*
       x534 - 649*x535 - 649*x536 - 649*x537 - 649*x538 - 649*x539 - 649*x540
        =G= 0;

e263.. (333 - x541 - x542 - x543 - x544 - x545 - x546 - x547 - x548 - x549 - 
       x550 - x551 - x552 - x553 - x554 - x555)*x677 - 333*x541 - 333*x542 - 
       333*x543 - 333*x544 - 333*x545 - 333*x546 - 333*x547 - 333*x548 - 333*
       x549 - 333*x550 - 333*x551 - 333*x552 - 333*x553 - 333*x554 - 333*x555
        =G= 0;

e264.. (415 - x556 - x557 - x558 - x559 - x560 - x561 - x562 - x563 - x564 - 
       x565 - x566 - x567 - x568 - x569 - x570)*x678 - 415*x556 - 415*x557 - 
       415*x558 - 415*x559 - 415*x560 - 415*x561 - 415*x562 - 415*x563 - 415*
       x564 - 415*x565 - 415*x566 - 415*x567 - 415*x568 - 415*x569 - 415*x570
        =G= 0;

e265.. (161 - x571 - x572 - x573 - x574 - x575 - x576 - x577 - x578 - x579 - 
       x580 - x581 - x582 - x583 - x584 - x585)*x679 - 161*x571 - 161*x572 - 
       161*x573 - 161*x574 - 161*x575 - 161*x576 - 161*x577 - 161*x578 - 161*
       x579 - 161*x580 - 161*x581 - 161*x582 - 161*x583 - 161*x584 - 161*x585
        =G= 0;

e266.. (649 - x586 - x587 - x588 - x589 - x590 - x591 - x592 - x593 - x594 - 
       x595 - x596 - x597 - x598 - x599 - x600)*x680 - 649*x586 - 649*x587 - 
       649*x588 - 649*x589 - 649*x590 - 649*x591 - 649*x592 - 649*x593 - 649*
       x594 - 649*x595 - 649*x596 - 649*x597 - 649*x598 - 649*x599 - 649*x600
        =G= 0;

e267..    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;

e268..    x1 + x2 + x3 + x4 + x5 + x6 + x7 + x8 + x9 + x10 + x11 + x12 + x13
        + x14 + x15 - 526*b601 =L= 0;

e269..    x16 + x17 + x18 + x19 + x20 + x21 + x22 + x23 + x24 + x25 + x26 + x27
        + x28 + x29 + x30 - 348*b602 =L= 0;

e270..    x31 + x32 + x33 + x34 + x35 + x36 + x37 + x38 + x39 + x40 + x41 + x42
        + x43 + x44 + x45 - 712*b603 =L= 0;

e271..    x46 + x47 + x48 + x49 + x50 + x51 + x52 + x53 + x54 + x55 + x56 + x57
        + x58 + x59 + x60 - 333*b604 =L= 0;

e272..    x61 + x62 + x63 + x64 + x65 + x66 + x67 + x68 + x69 + x70 + x71 + x72
        + x73 + x74 + x75 - 526*b605 =L= 0;

e273..    x76 + x77 + x78 + x79 + x80 + x81 + x82 + x83 + x84 + x85 + x86 + x87
        + x88 + x89 + x90 - 734*b606 =L= 0;

e274..    x91 + x92 + x93 + x94 + x95 + x96 + x97 + x98 + x99 + x100 + x101
        + x102 + x103 + x104 + x105 - 580*b607 =L= 0;

e275..    x106 + x107 + x108 + x109 + x110 + x111 + x112 + x113 + x114 + x115
        + x116 + x117 + x118 + x119 + x120 - 415*b608 =L= 0;

e276..    x121 + x122 + x123 + x124 + x125 + x126 + x127 + x128 + x129 + x130
        + x131 + x132 + x133 + x134 + x135 - 734*b609 =L= 0;

e277..    x136 + x137 + x138 + x139 + x140 + x141 + x142 + x143 + x144 + x145
        + x146 + x147 + x148 + x149 + x150 - 580*b610 =L= 0;

e278..    x151 + x152 + x153 + x154 + x155 + x156 + x157 + x158 + x159 + x160
        + x161 + x162 + x163 + x164 + x165 - 212*b611 =L= 0;

e279..    x166 + x167 + x168 + x169 + x170 + x171 + x172 + x173 + x174 + x175
        + x176 + x177 + x178 + x179 + x180 - 404*b612 =L= 0;

e280..    x181 + x182 + x183 + x184 + x185 + x186 + x187 + x188 + x189 + x190
        + x191 + x192 + x193 + x194 + x195 - 348*b613 =L= 0;

e281..    x196 + x197 + x198 + x199 + x200 + x201 + x202 + x203 + x204 + x205
        + x206 + x207 + x208 + x209 + x210 - 404*b614 =L= 0;

e282..    x211 + x212 + x213 + x214 + x215 + x216 + x217 + x218 + x219 + x220
        + x221 + x222 + x223 + x224 + x225 - 662*b615 =L= 0;

e283..    x226 + x227 + x228 + x229 + x230 + x231 + x232 + x233 + x234 + x235
        + x236 + x237 + x238 + x239 + x240 - 478*b616 =L= 0;

e284..    x241 + x242 + x243 + x244 + x245 + x246 + x247 + x248 + x249 + x250
        + x251 + x252 + x253 + x254 + x255 - 323*b617 =L= 0;

e285..    x256 + x257 + x258 + x259 + x260 + x261 + x262 + x263 + x264 + x265
        + x266 + x267 + x268 + x269 + x270 - 478*b618 =L= 0;

e286..    x271 + x272 + x273 + x274 + x275 + x276 + x277 + x278 + x279 + x280
        + x281 + x282 + x283 + x284 + x285 - 243*b619 =L= 0;

e287..    x286 + x287 + x288 + x289 + x290 + x291 + x292 + x293 + x294 + x295
        + x296 + x297 + x298 + x299 + x300 - 547*b620 =L= 0;

e288..    x301 + x302 + x303 + x304 + x305 + x306 + x307 + x308 + x309 + x310
        + x311 + x312 + x313 + x314 + x315 - 662*b621 =L= 0;

e289..    x316 + x317 + x318 + x319 + x320 + x321 + x322 + x323 + x324 + x325
        + x326 + x327 + x328 + x329 + x330 - 243*b622 =L= 0;

e290..    x331 + x332 + x333 + x334 + x335 + x336 + x337 + x338 + x339 + x340
        + x341 + x342 + x343 + x344 + x345 - 242*b623 =L= 0;

e291..    x346 + x347 + x348 + x349 + x350 + x351 + x352 + x353 + x354 + x355
        + x356 + x357 + x358 + x359 + x360 - 712*b624 =L= 0;

e292..    x361 + x362 + x363 + x364 + x365 + x366 + x367 + x368 + x369 + x370
        + x371 + x372 + x373 + x374 + x375 - 242*b625 =L= 0;

e293..    x376 + x377 + x378 + x379 + x380 + x381 + x382 + x383 + x384 + x385
        + x386 + x387 + x388 + x389 + x390 - 579*b626 =L= 0;

e294..    x391 + x392 + x393 + x394 + x395 + x396 + x397 + x398 + x399 + x400
        + x401 + x402 + x403 + x404 + x405 - 579*b627 =L= 0;

e295..    x406 + x407 + x408 + x409 + x410 + x411 + x412 + x413 + x414 + x415
        + x416 + x417 + x418 + x419 + x420 - 664*b628 =L= 0;

e296..    x421 + x422 + x423 + x424 + x425 + x426 + x427 + x428 + x429 + x430
        + x431 + x432 + x433 + x434 + x435 - 358*b629 =L= 0;

e297..    x436 + x437 + x438 + x439 + x440 + x441 + x442 + x443 + x444 + x445
        + x446 + x447 + x448 + x449 + x450 - 212*b630 =L= 0;

e298..    x451 + x452 + x453 + x454 + x455 + x456 + x457 + x458 + x459 + x460
        + x461 + x462 + x463 + x464 + x465 - 323*b631 =L= 0;

e299..    x466 + x467 + x468 + x469 + x470 + x471 + x472 + x473 + x474 + x475
        + x476 + x477 + x478 + x479 + x480 - 664*b632 =L= 0;

e300..    x481 + x482 + x483 + x484 + x485 + x486 + x487 + x488 + x489 + x490
        + x491 + x492 + x493 + x494 + x495 - 358*b633 =L= 0;

e301..    x496 + x497 + x498 + x499 + x500 + x501 + x502 + x503 + x504 + x505
        + x506 + x507 + x508 + x509 + x510 - 161*b634 =L= 0;

e302..    x511 + x512 + x513 + x514 + x515 + x516 + x517 + x518 + x519 + x520
        + x521 + x522 + x523 + x524 + x525 - 547*b635 =L= 0;

e303..    x526 + x527 + x528 + x529 + x530 + x531 + x532 + x533 + x534 + x535
        + x536 + x537 + x538 + x539 + x540 - 649*b636 =L= 0;

e304..    x541 + x542 + x543 + x544 + x545 + x546 + x547 + x548 + x549 + x550
        + x551 + x552 + x553 + x554 + x555 - 333*b637 =L= 0;

e305..    x556 + x557 + x558 + x559 + x560 + x561 + x562 + x563 + x564 + x565
        + x566 + x567 + x568 + x569 + x570 - 415*b638 =L= 0;

e306..    x571 + x572 + x573 + x574 + x575 + x576 + x577 + x578 + x579 + x580
        + x581 + x582 + x583 + x584 + x585 - 161*b639 =L= 0;

e307..    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: 2019-06-04 Git hash: 78444eaa
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