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)
84.62501274 p1 ( gdx sol )
(infeas: 6e-11)
Other points (infeas > 1e-08)  
Dual Bounds
69.06529760 (ANTIGONE)
73.11113296 (BARON)
66.79258763 (COUENNE)
69.69514353 (GUROBI)
69.83574931 (LINDO)
70.78746216 (SCIP)
69.06529760 (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 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 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
*        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: 2024-04-02 Git hash: 1dd5fb9b
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