MINLPLib
A Library of Mixed-Integer and Continuous Nonlinear Programming Instances
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Instance ndcc13
Multicommodity network design problem with congestion constraints and fixed costs for opening arcs.
| Formatsⓘ | ams gms lp mod nl osil pip py |
| Primal Bounds (infeas ≤ 1e-08)ⓘ | |
| Other points (infeas > 1e-08)ⓘ | |
| Dual Boundsⓘ | 69.06529760 (ANTIGONE) 73.11113296 (BARON) 66.79258763 (COUENNE) 84.62501273 (GUROBI) 69.83574931 (LINDO) 70.86067325 (SCIP) 69.06529760 (SHOT) 69.87137736 (XPRESS) |
| 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ⓘ | 630 |
| #Binary Variablesⓘ | 42 |
| #Integer Variablesⓘ | 0 |
| #Nonlinear Variablesⓘ | 588 |
| #Nonlinear Binary Variablesⓘ | 0 |
| #Nonlinear Integer Variablesⓘ | 0 |
| Objective Senseⓘ | min |
| Objective typeⓘ | linear |
| Objective curvatureⓘ | linear |
| #Nonzeros in Objectiveⓘ | 42 |
| #Nonlinear Nonzeros in Objectiveⓘ | 0 |
| #Constraintsⓘ | 254 |
| #Linear Constraintsⓘ | 212 |
| #Quadratic Constraintsⓘ | 42 |
| #Polynomial Constraintsⓘ | 0 |
| #Signomial Constraintsⓘ | 0 |
| #General Nonlinear Constraintsⓘ | 0 |
| Operands in Gen. Nonlin. Functionsⓘ | |
| Constraints curvatureⓘ | indefinite |
| #Nonzeros in Jacobianⓘ | 2310 |
| #Nonlinear Nonzeros in Jacobianⓘ | 588 |
| #Nonzeros in (Upper-Left) Hessian of Lagrangianⓘ | 1092 |
| #Nonzeros in Diagonal of Hessian of Lagrangianⓘ | 0 |
| #Blocks in Hessian of Lagrangianⓘ | 42 |
| Minimal blocksize in Hessian of Lagrangianⓘ | 14 |
| Maximal blocksize in Hessian of Lagrangianⓘ | 14 |
| Average blocksize in Hessian of Lagrangianⓘ | 14.0 |
| #Semicontinuitiesⓘ | 0 |
| #Nonlinear Semicontinuitiesⓘ | 0 |
| #SOS type 1ⓘ | 0 |
| #SOS type 2ⓘ | 0 |
| Minimal coefficientⓘ | 1.0000e+00 |
| Maximal coefficientⓘ | 5.2600e+02 |
| Infeasibility of initial pointⓘ | 231 |
| Sparsity Jacobianⓘ |  |
| Sparsity Hessian of Lagrangianⓘ |  |
$offlisting
*
* Equation counts
* Total E G L N X C B
* 255 170 42 43 0 0 0 0
*
* Variable counts
* x b i s1s s2s sc si
* Total cont binary integer sos1 sos2 scont sint
* 631 589 42 0 0 0 0 0
* FX 0
*
* Nonzero counts
* Total const NL DLL
* 2353 1765 588 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,b547,b548,b549,b550,b551,b552,b553,b554,b555,b556,b557,b558
,b559,b560,b561,b562,b563,b564,b565,b566,b567,b568,b569,b570,b571
,b572,b573,b574,b575,b576,b577,b578,b579,b580,b581,b582,b583,b584
,b585,b586,b587,b588,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,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,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;
Binary Variables b547,b548,b549,b550,b551,b552,b553,b554,b555,b556,b557,b558
,b559,b560,b561,b562,b563,b564,b565,b566,b567,b568,b569,b570,b571
,b572,b573,b574,b575,b576,b577,b578,b579,b580,b581,b582,b583,b584
,b585,b586,b587,b588;
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;
e1.. - 1.090016011*b547 - 3.10674202*b548 - 2.475702586*b549
- 1.966733944*b550 - 1.090016011*b551 - 2.019536713*b552
- 3.10674202*b553 - 1.383540955*b554 - 2.087059045*b555
- 3.720443668*b556 - 1.383540955*b557 - 1.794144217*b558
- 3.50653318*b559 - 1.71812596*b560 - 3.834780538*b561 - 2.087059045*b562
- 1.794144217*b563 - 2.239621249*b564 - 2.475702586*b565
- 2.019536713*b566 - 3.720443668*b567 - 3.50653318*b568
- 2.239621249*b569 - 1.098732406*b570 - 1.742557876*b571
- 1.098732406*b572 - 3.606882982*b573 - 1.71812596*b574
- 2.074958698*b575 - 1.966733944*b576 - 2.074958698*b577
- 3.859970515*b578 - 1.742557876*b579 - 3.859970515*b580
- 3.951460459*b581 - 3.834780538*b582 - 3.606882982*b583
- 2.524064089*b584 - 2.524064089*b585 - 3.982701487*b586
- 3.951460459*b587 - 3.982701487*b588 + objvar =E= 0;
e2.. - x1 - x14 - x27 - x40 + x53 + x79 + x235 + x378 =E= -148;
e3.. - x2 - x15 - x28 - x41 + x54 + x80 + x236 + x379 =E= 12;
e4.. - x3 - x16 - x29 - x42 + x55 + x81 + x237 + x380 =E= 16;
e5.. - x4 - x17 - x30 - x43 + x56 + x82 + x238 + x381 =E= 21;
e6.. - x5 - x18 - x31 - x44 + x57 + x83 + x239 + x382 =E= 11;
e7.. - x6 - x19 - x32 - x45 + x58 + x84 + x240 + x383 =E= 24;
e8.. - x7 - x20 - x33 - x46 + x59 + x85 + x241 + x384 =E= 24;
e9.. - x8 - x21 - x34 - x47 + x60 + x86 + x242 + x385 =E= 8;
e10.. - x9 - x22 - x35 - x48 + x61 + x87 + x243 + x386 =E= 10;
e11.. - x10 - x23 - x36 - x49 + x62 + x88 + x244 + x387 =E= 18;
e12.. - x11 - x24 - x37 - x50 + x63 + x89 + x245 + x388 =E= 11;
e13.. - x12 - x25 - x38 - x51 + x64 + x90 + x246 + x389 =E= 20;
e14.. - x13 - x26 - x39 - x52 + x65 + x91 + x247 + x390 =E= 7;
e15.. x1 - x53 - x66 + x248 =E= 7;
e16.. x2 - x54 - x67 + x249 =E= -175;
e17.. x3 - x55 - x68 + x250 =E= 15;
e18.. x4 - x56 - x69 + x251 =E= 17;
e19.. x5 - x57 - x70 + x252 =E= 20;
e20.. x6 - x58 - x71 + x253 =E= 24;
e21.. x7 - x59 - x72 + x254 =E= 6;
e22.. x8 - x60 - x73 + x255 =E= 19;
e23.. x9 - x61 - x74 + x256 =E= 24;
e24.. x10 - x62 - x75 + x257 =E= 11;
e25.. x11 - x63 - x76 + x258 =E= 15;
e26.. x12 - x64 - x77 + x259 =E= 9;
e27.. x13 - x65 - x78 + x260 =E= 19;
e28.. x14 - x79 - x92 - x105 - x118 + x131 + x196 + x261 =E= 15;
e29.. x15 - x80 - x93 - x106 - x119 + x132 + x197 + x262 =E= 13;
e30.. x16 - x81 - x94 - x107 - x120 + x133 + x198 + x263 =E= -231;
e31.. x17 - x82 - x95 - x108 - x121 + x134 + x199 + x264 =E= 23;
e32.. x18 - x83 - x96 - x109 - x122 + x135 + x200 + x265 =E= 18;
e33.. x19 - x84 - x97 - x110 - x123 + x136 + x201 + x266 =E= 19;
e34.. x20 - x85 - x98 - x111 - x124 + x137 + x202 + x267 =E= 9;
e35.. x21 - x86 - x99 - x112 - x125 + x138 + x203 + x268 =E= 8;
e36.. x22 - x87 - x100 - x113 - x126 + x139 + x204 + x269 =E= 16;
e37.. x23 - x88 - x101 - x114 - x127 + x140 + x205 + x270 =E= 19;
e38.. x24 - x89 - x102 - x115 - x128 + x141 + x206 + x271 =E= 19;
e39.. x25 - x90 - x103 - x116 - x129 + x142 + x207 + x272 =E= 21;
e40.. x26 - x91 - x104 - x117 - x130 + x143 + x208 + x273 =E= 8;
e41.. x92 - x131 - x144 - x157 - x170 - x183 + x209 + x274 + x352 + x456
=E= 12;
e42.. x93 - x132 - x145 - x158 - x171 - x184 + x210 + x275 + x353 + x457
=E= 20;
e43.. x94 - x133 - x146 - x159 - x172 - x185 + x211 + x276 + x354 + x458
=E= 23;
e44.. x95 - x134 - x147 - x160 - x173 - x186 + x212 + x277 + x355 + x459
=E= -187;
e45.. x96 - x135 - x148 - x161 - x174 - x187 + x213 + x278 + x356 + x460
=E= 21;
e46.. x97 - x136 - x149 - x162 - x175 - x188 + x214 + x279 + x357 + x461
=E= 12;
e47.. x98 - x137 - x150 - x163 - x176 - x189 + x215 + x280 + x358 + x462
=E= 6;
e48.. x99 - x138 - x151 - x164 - x177 - x190 + x216 + x281 + x359 + x463
=E= 11;
e49.. x100 - x139 - x152 - x165 - x178 - x191 + x217 + x282 + x360 + x464
=E= 19;
e50.. x101 - x140 - x153 - x166 - x179 - x192 + x218 + x283 + x361 + x465
=E= 9;
e51.. x102 - x141 - x154 - x167 - x180 - x193 + x219 + x284 + x362 + x466
=E= 17;
e52.. x103 - x142 - x155 - x168 - x181 - x194 + x220 + x285 + x363 + x467
=E= 23;
e53.. x104 - x143 - x156 - x169 - x182 - x195 + x221 + x286 + x364 + x468
=E= 21;
e54.. x105 + x144 - x196 - x209 - x222 + x287 =E= 14;
e55.. x106 + x145 - x197 - x210 - x223 + x288 =E= 7;
e56.. x107 + x146 - x198 - x211 - x224 + x289 =E= 22;
e57.. x108 + x147 - x199 - x212 - x225 + x290 =E= 14;
e58.. x109 + x148 - x200 - x213 - x226 + x291 =E= -170;
e59.. x110 + x149 - x201 - x214 - x227 + x292 =E= 12;
e60.. x111 + x150 - x202 - x215 - x228 + x293 =E= 13;
e61.. x112 + x151 - x203 - x216 - x229 + x294 =E= 10;
e62.. x113 + x152 - x204 - x217 - x230 + x295 =E= 15;
e63.. x114 + x153 - x205 - x218 - x231 + x296 =E= 9;
e64.. x115 + x154 - x206 - x219 - x232 + x297 =E= 14;
e65.. x116 + x155 - x207 - x220 - x233 + x298 =E= 16;
e66.. x117 + x156 - x208 - x221 - x234 + x299 =E= 8;
e67.. x27 + x66 + x118 + x157 + x222 - x235 - x248 - x261 - x274 - x287
- x300 - x313 + x326 + x417 =E= 13;
e68.. x28 + x67 + x119 + x158 + x223 - x236 - x249 - x262 - x275 - x288
- x301 - x314 + x327 + x418 =E= 22;
e69.. x29 + x68 + x120 + x159 + x224 - x237 - x250 - x263 - x276 - x289
- x302 - x315 + x328 + x419 =E= 23;
e70.. x30 + x69 + x121 + x160 + x225 - x238 - x251 - x264 - x277 - x290
- x303 - x316 + x329 + x420 =E= 7;
e71.. x31 + x70 + x122 + x161 + x226 - x239 - x252 - x265 - x278 - x291
- x304 - x317 + x330 + x421 =E= 16;
e72.. x32 + x71 + x123 + x162 + x227 - x240 - x253 - x266 - x279 - x292
- x305 - x318 + x331 + x422 =E= -169;
e73.. x33 + x72 + x124 + x163 + x228 - x241 - x254 - x267 - x280 - x293
- x306 - x319 + x332 + x423 =E= 20;
e74.. x34 + x73 + x125 + x164 + x229 - x242 - x255 - x268 - x281 - x294
- x307 - x320 + x333 + x424 =E= 14;
e75.. x35 + x74 + x126 + x165 + x230 - x243 - x256 - x269 - x282 - x295
- x308 - x321 + x334 + x425 =E= 11;
e76.. x36 + x75 + x127 + x166 + x231 - x244 - x257 - x270 - x283 - x296
- x309 - x322 + x335 + x426 =E= 13;
e77.. x37 + x76 + x128 + x167 + x232 - x245 - x258 - x271 - x284 - x297
- x310 - x323 + x336 + x427 =E= 10;
e78.. x38 + x77 + x129 + x168 + x233 - x246 - x259 - x272 - x285 - x298
- x311 - x324 + x337 + x428 =E= 13;
e79.. x39 + x78 + x130 + x169 + x234 - x247 - x260 - x273 - x286 - x299
- x312 - x325 + x338 + x429 =E= 12;
e80.. x300 - x326 - x339 + x469 =E= 6;
e81.. x301 - x327 - x340 + x470 =E= 16;
e82.. x302 - x328 - x341 + x471 =E= 22;
e83.. x303 - x329 - x342 + x472 =E= 9;
e84.. x304 - x330 - x343 + x473 =E= 13;
e85.. x305 - x331 - x344 + x474 =E= 7;
e86.. x306 - x332 - x345 + x475 =E= -156;
e87.. x307 - x333 - x346 + x476 =E= 20;
e88.. x308 - x334 - x347 + x477 =E= 19;
e89.. x309 - x335 - x348 + x478 =E= 24;
e90.. x310 - x336 - x349 + x479 =E= 8;
e91.. x311 - x337 - x350 + x480 =E= 21;
e92.. x312 - x338 - x351 + x481 =E= 6;
e93.. x170 - x352 - x365 + x391 =E= 15;
e94.. x171 - x353 - x366 + x392 =E= 15;
e95.. x172 - x354 - x367 + x393 =E= 23;
e96.. x173 - x355 - x368 + x394 =E= 25;
e97.. x174 - x356 - x369 + x395 =E= 20;
e98.. x175 - x357 - x370 + x396 =E= 7;
e99.. x176 - x358 - x371 + x397 =E= 19;
e100.. x177 - x359 - x372 + x398 =E= -177;
e101.. x178 - x360 - x373 + x399 =E= 7;
e102.. x179 - x361 - x374 + x400 =E= 18;
e103.. x180 - x362 - x375 + x401 =E= 25;
e104.. x181 - x363 - x376 + x402 =E= 20;
e105.. x182 - x364 - x377 + x403 =E= 18;
e106.. x40 + x365 - x378 - x391 - x404 + x430 =E= 8;
e107.. x41 + x366 - x379 - x392 - x405 + x431 =E= 11;
e108.. x42 + x367 - x380 - x393 - x406 + x432 =E= 23;
e109.. x43 + x368 - x381 - x394 - x407 + x433 =E= 7;
e110.. x44 + x369 - x382 - x395 - x408 + x434 =E= 5;
e111.. x45 + x370 - x383 - x396 - x409 + x435 =E= 15;
e112.. x46 + x371 - x384 - x397 - x410 + x436 =E= 7;
e113.. x47 + x372 - x385 - x398 - x411 + x437 =E= 10;
e114.. x48 + x373 - x386 - x399 - x412 + x438 =E= -179;
e115.. x49 + x374 - x387 - x400 - x413 + x439 =E= 20;
e116.. x50 + x375 - x388 - x401 - x414 + x440 =E= 18;
e117.. x51 + x376 - x389 - x402 - x415 + x441 =E= 8;
e118.. x52 + x377 - x390 - x403 - x416 + x442 =E= 12;
e119.. x313 + x404 - x417 - x430 - x443 + x521 =E= 9;
e120.. x314 + x405 - x418 - x431 - x444 + x522 =E= 12;
e121.. x315 + x406 - x419 - x432 - x445 + x523 =E= 24;
e122.. x316 + x407 - x420 - x433 - x446 + x524 =E= 21;
e123.. x317 + x408 - x421 - x434 - x447 + x525 =E= 8;
e124.. x318 + x409 - x422 - x435 - x448 + x526 =E= 9;
e125.. x319 + x410 - x423 - x436 - x449 + x527 =E= 11;
e126.. x320 + x411 - x424 - x437 - x450 + x528 =E= 13;
e127.. x321 + x412 - x425 - x438 - x451 + x529 =E= 11;
e128.. x322 + x413 - x426 - x439 - x452 + x530 =E= -183;
e129.. x323 + x414 - x427 - x440 - x453 + x531 =E= 16;
e130.. x324 + x415 - x428 - x441 - x454 + x532 =E= 14;
e131.. x325 + x416 - x429 - x442 - x455 + x533 =E= 17;
e132.. x183 + x339 - x456 - x469 - x482 + x495 =E= 22;
e133.. x184 + x340 - x457 - x470 - x483 + x496 =E= 12;
e134.. x185 + x341 - x458 - x471 - x484 + x497 =E= 7;
e135.. x186 + x342 - x459 - x472 - x485 + x498 =E= 12;
e136.. x187 + x343 - x460 - x473 - x486 + x499 =E= 12;
e137.. x188 + x344 - x461 - x474 - x487 + x500 =E= 10;
e138.. x189 + x345 - x462 - x475 - x488 + x501 =E= 11;
e139.. x190 + x346 - x463 - x476 - x489 + x502 =E= 17;
e140.. x191 + x347 - x464 - x477 - x490 + x503 =E= 17;
e141.. x192 + x348 - x465 - x478 - x491 + x504 =E= 12;
e142.. x193 + x349 - x466 - x479 - x492 + x505 =E= -185;
e143.. x194 + x350 - x467 - x480 - x493 + x506 =E= 10;
e144.. x195 + x351 - x468 - x481 - x494 + x507 =E= 21;
e145.. x482 - x495 - x508 + x534 =E= 8;
e146.. x483 - x496 - x509 + x535 =E= 20;
e147.. x484 - x497 - x510 + x536 =E= 23;
e148.. x485 - x498 - x511 + x537 =E= 18;
e149.. x486 - x499 - x512 + x538 =E= 15;
e150.. x487 - x500 - x513 + x539 =E= 22;
e151.. x488 - x501 - x514 + x540 =E= 17;
e152.. x489 - x502 - x515 + x541 =E= 24;
e153.. x490 - x503 - x516 + x542 =E= 7;
e154.. x491 - x504 - x517 + x543 =E= 16;
e155.. x492 - x505 - x518 + x544 =E= 24;
e156.. x493 - x506 - x519 + x545 =E= -200;
e157.. x494 - x507 - x520 + x546 =E= 8;
e158.. x443 + x508 - x521 - x534 =E= 19;
e159.. x444 + x509 - x522 - x535 =E= 15;
e160.. x445 + x510 - x523 - x536 =E= 10;
e161.. x446 + x511 - x524 - x537 =E= 13;
e162.. x447 + x512 - x525 - x538 =E= 11;
e163.. x448 + x513 - x526 - x539 =E= 8;
e164.. x449 + x514 - x527 - x540 =E= 13;
e165.. x450 + x515 - x528 - x541 =E= 23;
e166.. x451 + x516 - x529 - x542 =E= 23;
e167.. x452 + x517 - x530 - x543 =E= 14;
e168.. x453 + x518 - x531 - x544 =E= 8;
e169.. x454 + x519 - x532 - x545 =E= 25;
e170.. x455 + x520 - x533 - x546 =E= -157;
e171.. (166 - x1 - x2 - x3 - x4 - x5 - x6 - x7 - x8 - x9 - x10 - x11 - x12 -
x13)*x589 - 166*x1 - 166*x2 - 166*x3 - 166*x4 - 166*x5 - 166*x6 - 166*x7
- 166*x8 - 166*x9 - 166*x10 - 166*x11 - 166*x12 - 166*x13 =G= 0;
e172.. (463 - x14 - x15 - x16 - x17 - x18 - x19 - x20 - x21 - x22 - x23 - x24
- x25 - x26)*x590 - 463*x14 - 463*x15 - 463*x16 - 463*x17 - 463*x18 -
463*x19 - 463*x20 - 463*x21 - 463*x22 - 463*x23 - 463*x24 - 463*x25 -
463*x26 =G= 0;
e173.. (522 - x27 - x28 - x29 - x30 - x31 - x32 - x33 - x34 - x35 - x36 - x37
- x38 - x39)*x591 - 522*x27 - 522*x28 - 522*x29 - 522*x30 - 522*x31 -
522*x32 - 522*x33 - 522*x34 - 522*x35 - 522*x36 - 522*x37 - 522*x38 -
522*x39 =G= 0;
e174.. (141 - x40 - x41 - x42 - x43 - x44 - x45 - x46 - x47 - x48 - x49 - x50
- x51 - x52)*x592 - 141*x40 - 141*x41 - 141*x42 - 141*x43 - 141*x44 -
141*x45 - 141*x46 - 141*x47 - 141*x48 - 141*x49 - 141*x50 - 141*x51 -
141*x52 =G= 0;
e175.. (166 - x53 - x54 - x55 - x56 - x57 - x58 - x59 - x60 - x61 - x62 - x63
- x64 - x65)*x593 - 166*x53 - 166*x54 - 166*x55 - 166*x56 - 166*x57 -
166*x58 - 166*x59 - 166*x60 - 166*x61 - 166*x62 - 166*x63 - 166*x64 -
166*x65 =G= 0;
e176.. (265 - x66 - x67 - x68 - x69 - x70 - x71 - x72 - x73 - x74 - x75 - x76
- x77 - x78)*x594 - 265*x66 - 265*x67 - 265*x68 - 265*x69 - 265*x70 -
265*x71 - 265*x72 - 265*x73 - 265*x74 - 265*x75 - 265*x76 - 265*x77 -
265*x78 =G= 0;
e177.. (463 - x79 - x80 - x81 - x82 - x83 - x84 - x85 - x86 - x87 - x88 - x89
- x90 - x91)*x595 - 463*x79 - 463*x80 - 463*x81 - 463*x82 - 463*x83 -
463*x84 - 463*x85 - 463*x86 - 463*x87 - 463*x88 - 463*x89 - 463*x90 -
463*x91 =G= 0;
e178.. (456 - x92 - x93 - x94 - x95 - x96 - x97 - x98 - x99 - x100 - x101 -
x102 - x103 - x104)*x596 - 456*x92 - 456*x93 - 456*x94 - 456*x95 - 456*
x96 - 456*x97 - 456*x98 - 456*x99 - 456*x100 - 456*x101 - 456*x102 - 456
*x103 - 456*x104 =G= 0;
e179.. (526 - x105 - x106 - x107 - x108 - x109 - x110 - x111 - x112 - x113 -
x114 - x115 - x116 - x117)*x597 - 526*x105 - 526*x106 - 526*x107 - 526*
x108 - 526*x109 - 526*x110 - 526*x111 - 526*x112 - 526*x113 - 526*x114
- 526*x115 - 526*x116 - 526*x117 =G= 0;
e180.. (152 - x118 - x119 - x120 - x121 - x122 - x123 - x124 - x125 - x126 -
x127 - x128 - x129 - x130)*x598 - 152*x118 - 152*x119 - 152*x120 - 152*
x121 - 152*x122 - 152*x123 - 152*x124 - 152*x125 - 152*x126 - 152*x127
- 152*x128 - 152*x129 - 152*x130 =G= 0;
e181.. (456 - x131 - x132 - x133 - x134 - x135 - x136 - x137 - x138 - x139 -
x140 - x141 - x142 - x143)*x599 - 456*x131 - 456*x132 - 456*x133 - 456*
x134 - 456*x135 - 456*x136 - 456*x137 - 456*x138 - 456*x139 - 456*x140
- 456*x141 - 456*x142 - 456*x143 =G= 0;
e182.. (384 - x144 - x145 - x146 - x147 - x148 - x149 - x150 - x151 - x152 -
x153 - x154 - x155 - x156)*x600 - 384*x144 - 384*x145 - 384*x146 - 384*
x147 - 384*x148 - 384*x149 - 384*x150 - 384*x151 - 384*x152 - 384*x153
- 384*x154 - 384*x155 - 384*x156 =G= 0;
e183.. (441 - x157 - x158 - x159 - x160 - x161 - x162 - x163 - x164 - x165 -
x166 - x167 - x168 - x169)*x601 - 441*x157 - 441*x158 - 441*x159 - 441*
x160 - 441*x161 - 441*x162 - 441*x163 - 441*x164 - 441*x165 - 441*x166
- 441*x167 - 441*x168 - 441*x169 =G= 0;
e184.. (309 - x170 - x171 - x172 - x173 - x174 - x175 - x176 - x177 - x178 -
x179 - x180 - x181 - x182)*x602 - 309*x170 - 309*x171 - 309*x172 - 309*
x173 - 309*x174 - 309*x175 - 309*x176 - 309*x177 - 309*x178 - 309*x179
- 309*x180 - 309*x181 - 309*x182 =G= 0;
e185.. (233 - x183 - x184 - x185 - x186 - x187 - x188 - x189 - x190 - x191 -
x192 - x193 - x194 - x195)*x603 - 233*x183 - 233*x184 - 233*x185 - 233*
x186 - 233*x187 - 233*x188 - 233*x189 - 233*x190 - 233*x191 - 233*x192
- 233*x193 - 233*x194 - 233*x195 =G= 0;
e186.. (526 - x196 - x197 - x198 - x199 - x200 - x201 - x202 - x203 - x204 -
x205 - x206 - x207 - x208)*x604 - 526*x196 - 526*x197 - 526*x198 - 526*
x199 - 526*x200 - 526*x201 - 526*x202 - 526*x203 - 526*x204 - 526*x205
- 526*x206 - 526*x207 - 526*x208 =G= 0;
e187.. (384 - x209 - x210 - x211 - x212 - x213 - x214 - x215 - x216 - x217 -
x218 - x219 - x220 - x221)*x605 - 384*x209 - 384*x210 - 384*x211 - 384*
x212 - 384*x213 - 384*x214 - 384*x215 - 384*x216 - 384*x217 - 384*x218
- 384*x219 - 384*x220 - 384*x221 =G= 0;
e188.. (203 - x222 - x223 - x224 - x225 - x226 - x227 - x228 - x229 - x230 -
x231 - x232 - x233 - x234)*x606 - 203*x222 - 203*x223 - 203*x224 - 203*
x225 - 203*x226 - 203*x227 - 203*x228 - 203*x229 - 203*x230 - 203*x231
- 203*x232 - 203*x233 - 203*x234 =G= 0;
e189.. (522 - x235 - x236 - x237 - x238 - x239 - x240 - x241 - x242 - x243 -
x244 - x245 - x246 - x247)*x607 - 522*x235 - 522*x236 - 522*x237 - 522*
x238 - 522*x239 - 522*x240 - 522*x241 - 522*x242 - 522*x243 - 522*x244
- 522*x245 - 522*x246 - 522*x247 =G= 0;
e190.. (265 - x248 - x249 - x250 - x251 - x252 - x253 - x254 - x255 - x256 -
x257 - x258 - x259 - x260)*x608 - 265*x248 - 265*x249 - 265*x250 - 265*
x251 - 265*x252 - 265*x253 - 265*x254 - 265*x255 - 265*x256 - 265*x257
- 265*x258 - 265*x259 - 265*x260 =G= 0;
e191.. (152 - x261 - x262 - x263 - x264 - x265 - x266 - x267 - x268 - x269 -
x270 - x271 - x272 - x273)*x609 - 152*x261 - 152*x262 - 152*x263 - 152*
x264 - 152*x265 - 152*x266 - 152*x267 - 152*x268 - 152*x269 - 152*x270
- 152*x271 - 152*x272 - 152*x273 =G= 0;
e192.. (441 - x274 - x275 - x276 - x277 - x278 - x279 - x280 - x281 - x282 -
x283 - x284 - x285 - x286)*x610 - 441*x274 - 441*x275 - 441*x276 - 441*
x277 - 441*x278 - 441*x279 - 441*x280 - 441*x281 - 441*x282 - 441*x283
- 441*x284 - 441*x285 - 441*x286 =G= 0;
e193.. (203 - x287 - x288 - x289 - x290 - x291 - x292 - x293 - x294 - x295 -
x296 - x297 - x298 - x299)*x611 - 203*x287 - 203*x288 - 203*x289 - 203*
x290 - 203*x291 - 203*x292 - 203*x293 - 203*x294 - 203*x295 - 203*x296
- 203*x297 - 203*x298 - 203*x299 =G= 0;
e194.. (284 - x300 - x301 - x302 - x303 - x304 - x305 - x306 - x307 - x308 -
x309 - x310 - x311 - x312)*x612 - 284*x300 - 284*x301 - 284*x302 - 284*
x303 - 284*x304 - 284*x305 - 284*x306 - 284*x307 - 284*x308 - 284*x309
- 284*x310 - 284*x311 - 284*x312 =G= 0;
e195.. (426 - x313 - x314 - x315 - x316 - x317 - x318 - x319 - x320 - x321 -
x322 - x323 - x324 - x325)*x613 - 426*x313 - 426*x314 - 426*x315 - 426*
x316 - 426*x317 - 426*x318 - 426*x319 - 426*x320 - 426*x321 - 426*x322
- 426*x323 - 426*x324 - 426*x325 =G= 0;
e196.. (284 - x326 - x327 - x328 - x329 - x330 - x331 - x332 - x333 - x334 -
x335 - x336 - x337 - x338)*x614 - 284*x326 - 284*x327 - 284*x328 - 284*
x329 - 284*x330 - 284*x331 - 284*x332 - 284*x333 - 284*x334 - 284*x335
- 284*x336 - 284*x337 - 284*x338 =G= 0;
e197.. (109 - x339 - x340 - x341 - x342 - x343 - x344 - x345 - x346 - x347 -
x348 - x349 - x350 - x351)*x615 - 109*x339 - 109*x340 - 109*x341 - 109*
x342 - 109*x343 - 109*x344 - 109*x345 - 109*x346 - 109*x347 - 109*x348
- 109*x349 - 109*x350 - 109*x351 =G= 0;
e198.. (309 - x352 - x353 - x354 - x355 - x356 - x357 - x358 - x359 - x360 -
x361 - x362 - x363 - x364)*x616 - 309*x352 - 309*x353 - 309*x354 - 309*
x355 - 309*x356 - 309*x357 - 309*x358 - 309*x359 - 309*x360 - 309*x361
- 309*x362 - 309*x363 - 309*x364 =G= 0;
e199.. (434 - x365 - x366 - x367 - x368 - x369 - x370 - x371 - x372 - x373 -
x374 - x375 - x376 - x377)*x617 - 434*x365 - 434*x366 - 434*x367 - 434*
x368 - 434*x369 - 434*x370 - 434*x371 - 434*x372 - 434*x373 - 434*x374
- 434*x375 - 434*x376 - 434*x377 =G= 0;
e200.. (141 - x378 - x379 - x380 - x381 - x382 - x383 - x384 - x385 - x386 -
x387 - x388 - x389 - x390)*x618 - 141*x378 - 141*x379 - 141*x380 - 141*
x381 - 141*x382 - 141*x383 - 141*x384 - 141*x385 - 141*x386 - 141*x387
- 141*x388 - 141*x389 - 141*x390 =G= 0;
e201.. (434 - x391 - x392 - x393 - x394 - x395 - x396 - x397 - x398 - x399 -
x400 - x401 - x402 - x403)*x619 - 434*x391 - 434*x392 - 434*x393 - 434*
x394 - 434*x395 - 434*x396 - 434*x397 - 434*x398 - 434*x399 - 434*x400
- 434*x401 - 434*x402 - 434*x403 =G= 0;
e202.. (403 - x404 - x405 - x406 - x407 - x408 - x409 - x410 - x411 - x412 -
x413 - x414 - x415 - x416)*x620 - 403*x404 - 403*x405 - 403*x406 - 403*
x407 - 403*x408 - 403*x409 - 403*x410 - 403*x411 - 403*x412 - 403*x413
- 403*x414 - 403*x415 - 403*x416 =G= 0;
e203.. (426 - x417 - x418 - x419 - x420 - x421 - x422 - x423 - x424 - x425 -
x426 - x427 - x428 - x429)*x621 - 426*x417 - 426*x418 - 426*x419 - 426*
x420 - 426*x421 - 426*x422 - 426*x423 - 426*x424 - 426*x425 - 426*x426
- 426*x427 - 426*x428 - 426*x429 =G= 0;
e204.. (403 - x430 - x431 - x432 - x433 - x434 - x435 - x436 - x437 - x438 -
x439 - x440 - x441 - x442)*x622 - 403*x430 - 403*x431 - 403*x432 - 403*
x433 - 403*x434 - 403*x435 - 403*x436 - 403*x437 - 403*x438 - 403*x439
- 403*x440 - 403*x441 - 403*x442 =G= 0;
e205.. (151 - x443 - x444 - x445 - x446 - x447 - x448 - x449 - x450 - x451 -
x452 - x453 - x454 - x455)*x623 - 151*x443 - 151*x444 - 151*x445 - 151*
x446 - 151*x447 - 151*x448 - 151*x449 - 151*x450 - 151*x451 - 151*x452
- 151*x453 - 151*x454 - 151*x455 =G= 0;
e206.. (233 - x456 - x457 - x458 - x459 - x460 - x461 - x462 - x463 - x464 -
x465 - x466 - x467 - x468)*x624 - 233*x456 - 233*x457 - 233*x458 - 233*
x459 - 233*x460 - 233*x461 - 233*x462 - 233*x463 - 233*x464 - 233*x465
- 233*x466 - 233*x467 - 233*x468 =G= 0;
e207.. (109 - x469 - x470 - x471 - x472 - x473 - x474 - x475 - x476 - x477 -
x478 - x479 - x480 - x481)*x625 - 109*x469 - 109*x470 - 109*x471 - 109*
x472 - 109*x473 - 109*x474 - 109*x475 - 109*x476 - 109*x477 - 109*x478
- 109*x479 - 109*x480 - 109*x481 =G= 0;
e208.. (367 - x482 - x483 - x484 - x485 - x486 - x487 - x488 - x489 - x490 -
x491 - x492 - x493 - x494)*x626 - 367*x482 - 367*x483 - 367*x484 - 367*
x485 - 367*x486 - 367*x487 - 367*x488 - 367*x489 - 367*x490 - 367*x491
- 367*x492 - 367*x493 - 367*x494 =G= 0;
e209.. (367 - x495 - x496 - x497 - x498 - x499 - x500 - x501 - x502 - x503 -
x504 - x505 - x506 - x507)*x627 - 367*x495 - 367*x496 - 367*x497 - 367*
x498 - 367*x499 - 367*x500 - 367*x501 - 367*x502 - 367*x503 - 367*x504
- 367*x505 - 367*x506 - 367*x507 =G= 0;
e210.. (382 - x508 - x509 - x510 - x511 - x512 - x513 - x514 - x515 - x516 -
x517 - x518 - x519 - x520)*x628 - 382*x508 - 382*x509 - 382*x510 - 382*
x511 - 382*x512 - 382*x513 - 382*x514 - 382*x515 - 382*x516 - 382*x517
- 382*x518 - 382*x519 - 382*x520 =G= 0;
e211.. (151 - x521 - x522 - x523 - x524 - x525 - x526 - x527 - x528 - x529 -
x530 - x531 - x532 - x533)*x629 - 151*x521 - 151*x522 - 151*x523 - 151*
x524 - 151*x525 - 151*x526 - 151*x527 - 151*x528 - 151*x529 - 151*x530
- 151*x531 - 151*x532 - 151*x533 =G= 0;
e212.. (382 - x534 - x535 - x536 - x537 - x538 - x539 - x540 - x541 - x542 -
x543 - x544 - x545 - x546)*x630 - 382*x534 - 382*x535 - 382*x536 - 382*
x537 - 382*x538 - 382*x539 - 382*x540 - 382*x541 - 382*x542 - 382*x543
- 382*x544 - 382*x545 - 382*x546 =G= 0;
e213.. 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 =L= 18536;
e214.. x1 + x2 + x3 + x4 + x5 + x6 + x7 + x8 + x9 + x10 + x11 + x12 + x13
- 166*b547 =L= 0;
e215.. x14 + x15 + x16 + x17 + x18 + x19 + x20 + x21 + x22 + x23 + x24 + x25
+ x26 - 463*b548 =L= 0;
e216.. x27 + x28 + x29 + x30 + x31 + x32 + x33 + x34 + x35 + x36 + x37 + x38
+ x39 - 522*b549 =L= 0;
e217.. x40 + x41 + x42 + x43 + x44 + x45 + x46 + x47 + x48 + x49 + x50 + x51
+ x52 - 141*b550 =L= 0;
e218.. x53 + x54 + x55 + x56 + x57 + x58 + x59 + x60 + x61 + x62 + x63 + x64
+ x65 - 166*b551 =L= 0;
e219.. x66 + x67 + x68 + x69 + x70 + x71 + x72 + x73 + x74 + x75 + x76 + x77
+ x78 - 265*b552 =L= 0;
e220.. x79 + x80 + x81 + x82 + x83 + x84 + x85 + x86 + x87 + x88 + x89 + x90
+ x91 - 463*b553 =L= 0;
e221.. x92 + x93 + x94 + x95 + x96 + x97 + x98 + x99 + x100 + x101 + x102
+ x103 + x104 - 456*b554 =L= 0;
e222.. x105 + x106 + x107 + x108 + x109 + x110 + x111 + x112 + x113 + x114
+ x115 + x116 + x117 - 526*b555 =L= 0;
e223.. x118 + x119 + x120 + x121 + x122 + x123 + x124 + x125 + x126 + x127
+ x128 + x129 + x130 - 152*b556 =L= 0;
e224.. x131 + x132 + x133 + x134 + x135 + x136 + x137 + x138 + x139 + x140
+ x141 + x142 + x143 - 456*b557 =L= 0;
e225.. x144 + x145 + x146 + x147 + x148 + x149 + x150 + x151 + x152 + x153
+ x154 + x155 + x156 - 384*b558 =L= 0;
e226.. x157 + x158 + x159 + x160 + x161 + x162 + x163 + x164 + x165 + x166
+ x167 + x168 + x169 - 441*b559 =L= 0;
e227.. x170 + x171 + x172 + x173 + x174 + x175 + x176 + x177 + x178 + x179
+ x180 + x181 + x182 - 309*b560 =L= 0;
e228.. x183 + x184 + x185 + x186 + x187 + x188 + x189 + x190 + x191 + x192
+ x193 + x194 + x195 - 233*b561 =L= 0;
e229.. x196 + x197 + x198 + x199 + x200 + x201 + x202 + x203 + x204 + x205
+ x206 + x207 + x208 - 526*b562 =L= 0;
e230.. x209 + x210 + x211 + x212 + x213 + x214 + x215 + x216 + x217 + x218
+ x219 + x220 + x221 - 384*b563 =L= 0;
e231.. x222 + x223 + x224 + x225 + x226 + x227 + x228 + x229 + x230 + x231
+ x232 + x233 + x234 - 203*b564 =L= 0;
e232.. x235 + x236 + x237 + x238 + x239 + x240 + x241 + x242 + x243 + x244
+ x245 + x246 + x247 - 522*b565 =L= 0;
e233.. x248 + x249 + x250 + x251 + x252 + x253 + x254 + x255 + x256 + x257
+ x258 + x259 + x260 - 265*b566 =L= 0;
e234.. x261 + x262 + x263 + x264 + x265 + x266 + x267 + x268 + x269 + x270
+ x271 + x272 + x273 - 152*b567 =L= 0;
e235.. x274 + x275 + x276 + x277 + x278 + x279 + x280 + x281 + x282 + x283
+ x284 + x285 + x286 - 441*b568 =L= 0;
e236.. x287 + x288 + x289 + x290 + x291 + x292 + x293 + x294 + x295 + x296
+ x297 + x298 + x299 - 203*b569 =L= 0;
e237.. x300 + x301 + x302 + x303 + x304 + x305 + x306 + x307 + x308 + x309
+ x310 + x311 + x312 - 284*b570 =L= 0;
e238.. x313 + x314 + x315 + x316 + x317 + x318 + x319 + x320 + x321 + x322
+ x323 + x324 + x325 - 426*b571 =L= 0;
e239.. x326 + x327 + x328 + x329 + x330 + x331 + x332 + x333 + x334 + x335
+ x336 + x337 + x338 - 284*b572 =L= 0;
e240.. x339 + x340 + x341 + x342 + x343 + x344 + x345 + x346 + x347 + x348
+ x349 + x350 + x351 - 109*b573 =L= 0;
e241.. x352 + x353 + x354 + x355 + x356 + x357 + x358 + x359 + x360 + x361
+ x362 + x363 + x364 - 309*b574 =L= 0;
e242.. x365 + x366 + x367 + x368 + x369 + x370 + x371 + x372 + x373 + x374
+ x375 + x376 + x377 - 434*b575 =L= 0;
e243.. x378 + x379 + x380 + x381 + x382 + x383 + x384 + x385 + x386 + x387
+ x388 + x389 + x390 - 141*b576 =L= 0;
e244.. x391 + x392 + x393 + x394 + x395 + x396 + x397 + x398 + x399 + x400
+ x401 + x402 + x403 - 434*b577 =L= 0;
e245.. x404 + x405 + x406 + x407 + x408 + x409 + x410 + x411 + x412 + x413
+ x414 + x415 + x416 - 403*b578 =L= 0;
e246.. x417 + x418 + x419 + x420 + x421 + x422 + x423 + x424 + x425 + x426
+ x427 + x428 + x429 - 426*b579 =L= 0;
e247.. x430 + x431 + x432 + x433 + x434 + x435 + x436 + x437 + x438 + x439
+ x440 + x441 + x442 - 403*b580 =L= 0;
e248.. x443 + x444 + x445 + x446 + x447 + x448 + x449 + x450 + x451 + x452
+ x453 + x454 + x455 - 151*b581 =L= 0;
e249.. x456 + x457 + x458 + x459 + x460 + x461 + x462 + x463 + x464 + x465
+ x466 + x467 + x468 - 233*b582 =L= 0;
e250.. x469 + x470 + x471 + x472 + x473 + x474 + x475 + x476 + x477 + x478
+ x479 + x480 + x481 - 109*b583 =L= 0;
e251.. x482 + x483 + x484 + x485 + x486 + x487 + x488 + x489 + x490 + x491
+ x492 + x493 + x494 - 367*b584 =L= 0;
e252.. x495 + x496 + x497 + x498 + x499 + x500 + x501 + x502 + x503 + x504
+ x505 + x506 + x507 - 367*b585 =L= 0;
e253.. x508 + x509 + x510 + x511 + x512 + x513 + x514 + x515 + x516 + x517
+ x518 + x519 + x520 - 382*b586 =L= 0;
e254.. x521 + x522 + x523 + x524 + x525 + x526 + x527 + x528 + x529 + x530
+ x531 + x532 + x533 - 151*b587 =L= 0;
e255.. x534 + x535 + x536 + x537 + x538 + x539 + x540 + x541 + x542 + x543
+ x544 + x545 + x546 - 382*b588 =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: 2025-08-07 Git hash: e62cedfc