MINLPLib

A Library of Mixed-Integer and Continuous Nonlinear Programming Instances

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Instance wastewater12m2

Formats ams gms lp mod nl osil pip py
Primal Bounds (infeas ≤ 1e-08)
1201.03846200 p1 ( gdx sol )
(infeas: 4e-12)
Other points (infeas > 1e-08)  
Dual Bounds
757.87675380 (ANTIGONE)
728.84560770 (BARON)
704.24318850 (COUENNE)
1144.67047800 (GUROBI)
887.52164120 (LINDO)
1131.46523900 (SCIP)
References Castro, Pedro M, Matos, Henrique A, and Novais, Augusto Q, An efficient heuristic procedure for the optimal design of wastewater treatment systems, Resources, Conservation and Recycling, 50:2, 2007, 158-185.
Castro, Pedro M, Teles, João P, and Novais, Augusto Q, Linear program-based algorithm for the optimal design of wastewater treatment systems, Clean Technologies and Environmental Policy, 11:1, 2009, 83-93.
Source ANTIGONE test library model Other_MIQCQP/castro_etal_2007_wts_Ex12_M2.gms
Application Waste Water Treatment
Added to library 15 Aug 2014
Problem type QCP
#Variables 516
#Binary Variables 0
#Integer Variables 0
#Nonlinear Variables 130
#Nonlinear Binary Variables 0
#Nonlinear Integer Variables 0
Objective Sense min
Objective type linear
Objective curvature linear
#Nonzeros in Objective 10
#Nonlinear Nonzeros in Objective 0
#Constraints 407
#Linear Constraints 187
#Quadratic Constraints 220
#Polynomial Constraints 0
#Signomial Constraints 0
#General Nonlinear Constraints 0
Operands in Gen. Nonlin. Functions  
Constraints curvature indefinite
#Nonzeros in Jacobian 1907
#Nonlinear Nonzeros in Jacobian 440
#Nonzeros in (Upper-Left) Hessian of Lagrangian 440
#Nonzeros in Diagonal of Hessian of Lagrangian 0
#Blocks in Hessian of Lagrangian 10
Minimal blocksize in Hessian of Lagrangian 13
Maximal blocksize in Hessian of Lagrangian 13
Average blocksize in Hessian of Lagrangian 13.0
#Semicontinuities 0
#Nonlinear Semicontinuities 0
#SOS type 1 0
#SOS type 2 0
Minimal coefficient 5.0000e-02
Maximal coefficient 3.0000e+04
Infeasibility of initial point 3e+04
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
*        408      397        0       11        0        0        0        0
*  
*  Variable counts
*                   x        b        i      s1s      s2s       sc       si
*      Total     cont   binary  integer     sos1     sos2    scont     sint
*        517      517        0        0        0        0        0        0
*  FX      0
*  
*  Nonzero counts
*      Total    const       NL      DLL
*       1918     1478      440        0
*
*  Solve m using NLP 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,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;

Equations  e1,e2,e3,e4,e5,e6,e7,e8,e9,e10,e11,e12,e13,e14,e15,e16,e17,e18,e19
          ,e20,e21,e22,e23,e24,e25,e26,e27,e28,e29,e30,e31,e32,e33,e34,e35,e36
          ,e37,e38,e39,e40,e41,e42,e43,e44,e45,e46,e47,e48,e49,e50,e51,e52,e53
          ,e54,e55,e56,e57,e58,e59,e60,e61,e62,e63,e64,e65,e66,e67,e68,e69,e70
          ,e71,e72,e73,e74,e75,e76,e77,e78,e79,e80,e81,e82,e83,e84,e85,e86,e87
          ,e88,e89,e90,e91,e92,e93,e94,e95,e96,e97,e98,e99,e100,e101,e102,e103
          ,e104,e105,e106,e107,e108,e109,e110,e111,e112,e113,e114,e115,e116
          ,e117,e118,e119,e120,e121,e122,e123,e124,e125,e126,e127,e128,e129
          ,e130,e131,e132,e133,e134,e135,e136,e137,e138,e139,e140,e141,e142
          ,e143,e144,e145,e146,e147,e148,e149,e150,e151,e152,e153,e154,e155
          ,e156,e157,e158,e159,e160,e161,e162,e163,e164,e165,e166,e167,e168
          ,e169,e170,e171,e172,e173,e174,e175,e176,e177,e178,e179,e180,e181
          ,e182,e183,e184,e185,e186,e187,e188,e189,e190,e191,e192,e193,e194
          ,e195,e196,e197,e198,e199,e200,e201,e202,e203,e204,e205,e206,e207
          ,e208,e209,e210,e211,e212,e213,e214,e215,e216,e217,e218,e219,e220
          ,e221,e222,e223,e224,e225,e226,e227,e228,e229,e230,e231,e232,e233
          ,e234,e235,e236,e237,e238,e239,e240,e241,e242,e243,e244,e245,e246
          ,e247,e248,e249,e250,e251,e252,e253,e254,e255,e256,e257,e258,e259
          ,e260,e261,e262,e263,e264,e265,e266,e267,e268,e269,e270,e271,e272
          ,e273,e274,e275,e276,e277,e278,e279,e280,e281,e282,e283,e284,e285
          ,e286,e287,e288,e289,e290,e291,e292,e293,e294,e295,e296,e297,e298
          ,e299,e300,e301,e302,e303,e304,e305,e306,e307,e308,e309,e310,e311
          ,e312,e313,e314,e315,e316,e317,e318,e319,e320,e321,e322,e323,e324
          ,e325,e326,e327,e328,e329,e330,e331,e332,e333,e334,e335,e336,e337
          ,e338,e339,e340,e341,e342,e343,e344,e345,e346,e347,e348,e349,e350
          ,e351,e352,e353,e354,e355,e356,e357,e358,e359,e360,e361,e362,e363
          ,e364,e365,e366,e367,e368,e369,e370,e371,e372,e373,e374,e375,e376
          ,e377,e378,e379,e380,e381,e382,e383,e384,e385,e386,e387,e388,e389
          ,e390,e391,e392,e393,e394,e395,e396,e397,e398,e399,e400,e401,e402
          ,e403,e404,e405,e406,e407,e408;


e1..  - x167 - x168 - x169 - x170 - x171 - x172 - x173 - x174 - x175 - x176
      + objvar =E= 0;

e2..  - x101 - x116 - x117 - x118 - x119 - x120 - x121 - x122 - x123 - x124
      - x125 =E= -90;

e3..  - x102 - x126 - x127 - x128 - x129 - x130 - x131 - x132 - x133 - x134
      - x135 =E= -350;

e4..  - x103 - x136 - x137 - x138 - x139 - x140 - x141 - x142 - x143 - x144
      - x145 =E= -200;

e5..  - x104 - x146 - x147 - x148 - x149 - x150 - x151 - x152 - x153 - x154
      - x155 =E= -40;

e6..  - x105 - x156 - x157 - x158 - x159 - x160 - x161 - x162 - x163 - x164
      - x165 =E= -130;

e7..  - x1 - x11 - x21 - x31 - x41 - x51 - x61 - x71 - x81 - x91 - x116 - x126
      - x136 - x146 - x156 + x167 =E= 0;

e8..  - x2 - x12 - x22 - x32 - x42 - x52 - x62 - x72 - x82 - x92 - x117 - x127
      - x137 - x147 - x157 + x168 =E= 0;

e9..  - x3 - x13 - x23 - x33 - x43 - x53 - x63 - x73 - x83 - x93 - x118 - x128
      - x138 - x148 - x158 + x169 =E= 0;

e10..  - x4 - x14 - x24 - x34 - x44 - x54 - x64 - x74 - x84 - x94 - x119 - x129
       - x139 - x149 - x159 + x170 =E= 0;

e11..  - x5 - x15 - x25 - x35 - x45 - x55 - x65 - x75 - x85 - x95 - x120 - x130
       - x140 - x150 - x160 + x171 =E= 0;

e12..  - x6 - x16 - x26 - x36 - x46 - x56 - x66 - x76 - x86 - x96 - x121 - x131
       - x141 - x151 - x161 + x172 =E= 0;

e13..  - x7 - x17 - x27 - x37 - x47 - x57 - x67 - x77 - x87 - x97 - x122 - x132
       - x142 - x152 - x162 + x173 =E= 0;

e14..  - x8 - x18 - x28 - x38 - x48 - x58 - x68 - x78 - x88 - x98 - x123 - x133
       - x143 - x153 - x163 + x174 =E= 0;

e15..  - x9 - x19 - x29 - x39 - x49 - x59 - x69 - x79 - x89 - x99 - x124 - x134
       - x144 - x154 - x164 + x175 =E= 0;

e16..  - x10 - x20 - x30 - x40 - x50 - x60 - x70 - x80 - x90 - x100 - x125
       - x135 - x145 - x155 - x165 + x176 =E= 0;

e17..  - x1 - x2 - x3 - x4 - x5 - x6 - x7 - x8 - x9 - x10 - x106 + x167 =E= 0;

e18..  - x11 - x12 - x13 - x14 - x15 - x16 - x17 - x18 - x19 - x20 - x107
       + x168 =E= 0;

e19..  - x21 - x22 - x23 - x24 - x25 - x26 - x27 - x28 - x29 - x30 - x108
       + x169 =E= 0;

e20..  - x31 - x32 - x33 - x34 - x35 - x36 - x37 - x38 - x39 - x40 - x109
       + x170 =E= 0;

e21..  - x41 - x42 - x43 - x44 - x45 - x46 - x47 - x48 - x49 - x50 - x110
       + x171 =E= 0;

e22..  - x51 - x52 - x53 - x54 - x55 - x56 - x57 - x58 - x59 - x60 - x111
       + x172 =E= 0;

e23..  - x61 - x62 - x63 - x64 - x65 - x66 - x67 - x68 - x69 - x70 - x112
       + x173 =E= 0;

e24..  - x71 - x72 - x73 - x74 - x75 - x76 - x77 - x78 - x79 - x80 - x113
       + x174 =E= 0;

e25..  - x81 - x82 - x83 - x84 - x85 - x86 - x87 - x88 - x89 - x90 - x114
       + x175 =E= 0;

e26..  - x91 - x92 - x93 - x94 - x95 - x96 - x97 - x98 - x99 - x100 - x115
       + x176 =E= 0;

e27..  - x101 - x102 - x103 - x104 - x105 - x106 - x107 - x108 - x109 - x110
       - x111 - x112 - x113 - x114 - x115 + x166 =E= 0;

e28..  - x277 - x292 - x293 - x294 - x295 - x296 - x297 - x298 - x299 - x300
       - x301 =E= -29700;

e29..  - x278 - x302 - x303 - x304 - x305 - x306 - x307 - x308 - x309 - x310
       - x311 =E= -17500;

e30..  - x279 - x312 - x313 - x314 - x315 - x316 - x317 - x318 - x319 - x320
       - x321 =E= -30000;

e31..  - x280 - x322 - x323 - x324 - x325 - x326 - x327 - x328 - x329 - x330
       - x331 =E= -9600;

e32..  - x281 - x332 - x333 - x334 - x335 - x336 - x337 - x338 - x339 - x340
       - x341 =E= -15600;

e33..  - x292 + 29700*x467 =E= 0;

e34..  - x293 + 29700*x468 =E= 0;

e35..  - x294 + 29700*x469 =E= 0;

e36..  - x295 + 29700*x470 =E= 0;

e37..  - x296 + 29700*x471 =E= 0;

e38..  - x297 + 29700*x472 =E= 0;

e39..  - x298 + 29700*x473 =E= 0;

e40..  - x299 + 29700*x474 =E= 0;

e41..  - x300 + 29700*x475 =E= 0;

e42..  - x301 + 29700*x476 =E= 0;

e43..  - x302 + 17500*x477 =E= 0;

e44..  - x303 + 17500*x478 =E= 0;

e45..  - x304 + 17500*x479 =E= 0;

e46..  - x305 + 17500*x480 =E= 0;

e47..  - x306 + 17500*x481 =E= 0;

e48..  - x307 + 17500*x482 =E= 0;

e49..  - x308 + 17500*x483 =E= 0;

e50..  - x309 + 17500*x484 =E= 0;

e51..  - x310 + 17500*x485 =E= 0;

e52..  - x311 + 17500*x486 =E= 0;

e53..  - x312 + 30000*x487 =E= 0;

e54..  - x313 + 30000*x488 =E= 0;

e55..  - x314 + 30000*x489 =E= 0;

e56..  - x315 + 30000*x490 =E= 0;

e57..  - x316 + 30000*x491 =E= 0;

e58..  - x317 + 30000*x492 =E= 0;

e59..  - x318 + 30000*x493 =E= 0;

e60..  - x319 + 30000*x494 =E= 0;

e61..  - x320 + 30000*x495 =E= 0;

e62..  - x321 + 30000*x496 =E= 0;

e63..  - x322 + 9600*x497 =E= 0;

e64..  - x323 + 9600*x498 =E= 0;

e65..  - x324 + 9600*x499 =E= 0;

e66..  - x325 + 9600*x500 =E= 0;

e67..  - x326 + 9600*x501 =E= 0;

e68..  - x327 + 9600*x502 =E= 0;

e69..  - x328 + 9600*x503 =E= 0;

e70..  - x329 + 9600*x504 =E= 0;

e71..  - x330 + 9600*x505 =E= 0;

e72..  - x331 + 9600*x506 =E= 0;

e73..  - x332 + 15600*x507 =E= 0;

e74..  - x333 + 15600*x508 =E= 0;

e75..  - x334 + 15600*x509 =E= 0;

e76..  - x335 + 15600*x510 =E= 0;

e77..  - x336 + 15600*x511 =E= 0;

e78..  - x337 + 15600*x512 =E= 0;

e79..  - x338 + 15600*x513 =E= 0;

e80..  - x339 + 15600*x514 =E= 0;

e81..  - x340 + 15600*x515 =E= 0;

e82..  - x341 + 15600*x516 =E= 0;

e83..  - x277 + 29700*x452 =E= 0;

e84..  - x278 + 17500*x453 =E= 0;

e85..  - x279 + 30000*x454 =E= 0;

e86..  - x280 + 9600*x455 =E= 0;

e87..  - x281 + 15600*x456 =E= 0;

e88..  - x116 + 90*x467 =E= 0;

e89..  - x117 + 90*x468 =E= 0;

e90..  - x118 + 90*x469 =E= 0;

e91..  - x119 + 90*x470 =E= 0;

e92..  - x120 + 90*x471 =E= 0;

e93..  - x121 + 90*x472 =E= 0;

e94..  - x122 + 90*x473 =E= 0;

e95..  - x123 + 90*x474 =E= 0;

e96..  - x124 + 90*x475 =E= 0;

e97..  - x125 + 90*x476 =E= 0;

e98..  - x126 + 350*x477 =E= 0;

e99..  - x127 + 350*x478 =E= 0;

e100..  - x128 + 350*x479 =E= 0;

e101..  - x129 + 350*x480 =E= 0;

e102..  - x130 + 350*x481 =E= 0;

e103..  - x131 + 350*x482 =E= 0;

e104..  - x132 + 350*x483 =E= 0;

e105..  - x133 + 350*x484 =E= 0;

e106..  - x134 + 350*x485 =E= 0;

e107..  - x135 + 350*x486 =E= 0;

e108..  - x136 + 200*x487 =E= 0;

e109..  - x137 + 200*x488 =E= 0;

e110..  - x138 + 200*x489 =E= 0;

e111..  - x139 + 200*x490 =E= 0;

e112..  - x140 + 200*x491 =E= 0;

e113..  - x141 + 200*x492 =E= 0;

e114..  - x142 + 200*x493 =E= 0;

e115..  - x143 + 200*x494 =E= 0;

e116..  - x144 + 200*x495 =E= 0;

e117..  - x145 + 200*x496 =E= 0;

e118..  - x146 + 40*x497 =E= 0;

e119..  - x147 + 40*x498 =E= 0;

e120..  - x148 + 40*x499 =E= 0;

e121..  - x149 + 40*x500 =E= 0;

e122..  - x150 + 40*x501 =E= 0;

e123..  - x151 + 40*x502 =E= 0;

e124..  - x152 + 40*x503 =E= 0;

e125..  - x153 + 40*x504 =E= 0;

e126..  - x154 + 40*x505 =E= 0;

e127..  - x155 + 40*x506 =E= 0;

e128..  - x156 + 130*x507 =E= 0;

e129..  - x157 + 130*x508 =E= 0;

e130..  - x158 + 130*x509 =E= 0;

e131..  - x159 + 130*x510 =E= 0;

e132..  - x160 + 130*x511 =E= 0;

e133..  - x161 + 130*x512 =E= 0;

e134..  - x162 + 130*x513 =E= 0;

e135..  - x163 + 130*x514 =E= 0;

e136..  - x164 + 130*x515 =E= 0;

e137..  - x165 + 130*x516 =E= 0;

e138..  - x101 + 90*x452 =E= 0;

e139..  - x102 + 350*x453 =E= 0;

e140..  - x103 + 200*x454 =E= 0;

e141..  - x104 + 40*x455 =E= 0;

e142..  - x105 + 130*x456 =E= 0;

e143..    x452 + x467 + x468 + x469 + x470 + x471 + x472 + x473 + x474 + x475
        + x476 =E= 1;

e144..    x453 + x477 + x478 + x479 + x480 + x481 + x482 + x483 + x484 + x485
        + x486 =E= 1;

e145..    x454 + x487 + x488 + x489 + x490 + x491 + x492 + x493 + x494 + x495
        + x496 =E= 1;

e146..    x455 + x497 + x498 + x499 + x500 + x501 + x502 + x503 + x504 + x505
        + x506 =E= 1;

e147..    x456 + x507 + x508 + x509 + x510 + x511 + x512 + x513 + x514 + x515
        + x516 =E= 1;

e148..  - 30*x167 + x177 + x187 + x197 + x207 + x217 + x227 + x237 + x247
        + x257 + x267 + x292 + x302 + x312 + x322 + x332 =L= 0;

e149..  - 100*x168 + x178 + x188 + x198 + x208 + x218 + x228 + x238 + x248
        + x258 + x268 + x293 + x303 + x313 + x323 + x333 =L= 0;

e150..  - 50*x169 + x179 + x189 + x199 + x209 + x219 + x229 + x239 + x249
        + x259 + x269 + x294 + x304 + x314 + x324 + x334 =L= 0;

e151..  - 227*x170 + x180 + x190 + x200 + x210 + x220 + x230 + x240 + x250
        + x260 + x270 + x295 + x305 + x315 + x325 + x335 =L= 0;

e152..  - 100*x171 + x181 + x191 + x201 + x211 + x221 + x231 + x241 + x251
        + x261 + x271 + x296 + x306 + x316 + x326 + x336 =L= 0;

e153..  - 300*x172 + x182 + x192 + x202 + x212 + x222 + x232 + x242 + x252
        + x262 + x272 + x297 + x307 + x317 + x327 + x337 =L= 0;

e154..  - 12*x173 + x183 + x193 + x203 + x213 + x223 + x233 + x243 + x253
        + x263 + x273 + x298 + x308 + x318 + x328 + x338 =L= 0;

e155..  - 970*x174 + x184 + x194 + x204 + x214 + x224 + x234 + x244 + x254
        + x264 + x274 + x299 + x309 + x319 + x329 + x339 =L= 0;

e156..  - 20*x175 + x185 + x195 + x205 + x215 + x225 + x235 + x245 + x255
        + x265 + x275 + x300 + x310 + x320 + x330 + x340 =L= 0;

e157..  - 250*x176 + x186 + x196 + x206 + x216 + x226 + x236 + x246 + x256
        + x266 + x276 + x301 + x311 + x321 + x331 + x341 =L= 0;

e158..    0.05*x177 + 0.05*x187 + 0.05*x197 + 0.05*x207 + 0.05*x217 + 0.05*x227
        + 0.05*x237 + 0.05*x247 + 0.05*x257 + 0.05*x267 + 0.05*x292 + 0.05*x302
        + 0.05*x312 + 0.05*x322 + 0.05*x332 - x342 =E= 0;

e159..    0.2*x178 + 0.2*x188 + 0.2*x198 + 0.2*x208 + 0.2*x218 + 0.2*x228
        + 0.2*x238 + 0.2*x248 + 0.2*x258 + 0.2*x268 + 0.2*x293 + 0.2*x303
        + 0.2*x313 + 0.2*x323 + 0.2*x333 - x343 =E= 0;

e160..    0.15*x179 + 0.15*x189 + 0.15*x199 + 0.15*x209 + 0.15*x219 + 0.15*x229
        + 0.15*x239 + 0.15*x249 + 0.15*x259 + 0.15*x269 + 0.15*x294 + 0.15*x304
        + 0.15*x314 + 0.15*x324 + 0.15*x334 - x344 =E= 0;

e161..    0.88*x180 + 0.88*x190 + 0.88*x200 + 0.88*x210 + 0.88*x220 + 0.88*x230
        + 0.88*x240 + 0.88*x250 + 0.88*x260 + 0.88*x270 + 0.88*x295 + 0.88*x305
        + 0.88*x315 + 0.88*x325 + 0.88*x335 - x345 =E= 0;

e162..    0.7*x181 + 0.7*x191 + 0.7*x201 + 0.7*x211 + 0.7*x221 + 0.7*x231
        + 0.7*x241 + 0.7*x251 + 0.7*x261 + 0.7*x271 + 0.7*x296 + 0.7*x306
        + 0.7*x316 + 0.7*x326 + 0.7*x336 - x346 =E= 0;

e163..    0.4*x182 + 0.4*x192 + 0.4*x202 + 0.4*x212 + 0.4*x222 + 0.4*x232
        + 0.4*x242 + 0.4*x252 + 0.4*x262 + 0.4*x272 + 0.4*x297 + 0.4*x307
        + 0.4*x317 + 0.4*x327 + 0.4*x337 - x347 =E= 0;

e164..    0.33*x183 + 0.33*x193 + 0.33*x203 + 0.33*x213 + 0.33*x223 + 0.33*x233
        + 0.33*x243 + 0.33*x253 + 0.33*x263 + 0.33*x273 + 0.33*x298 + 0.33*x308
        + 0.33*x318 + 0.33*x328 + 0.33*x338 - x348 =E= 0;

e165..    0.3*x184 + 0.3*x194 + 0.3*x204 + 0.3*x214 + 0.3*x224 + 0.3*x234
        + 0.3*x244 + 0.3*x254 + 0.3*x264 + 0.3*x274 + 0.3*x299 + 0.3*x309
        + 0.3*x319 + 0.3*x329 + 0.3*x339 - x349 =E= 0;

e166..    0.4*x185 + 0.4*x195 + 0.4*x205 + 0.4*x215 + 0.4*x225 + 0.4*x235
        + 0.4*x245 + 0.4*x255 + 0.4*x265 + 0.4*x275 + 0.4*x300 + 0.4*x310
        + 0.4*x320 + 0.4*x330 + 0.4*x340 - x350 =E= 0;

e167..    0.3*x186 + 0.3*x196 + 0.3*x206 + 0.3*x216 + 0.3*x226 + 0.3*x236
        + 0.3*x246 + 0.3*x256 + 0.3*x266 + 0.3*x276 + 0.3*x301 + 0.3*x311
        + 0.3*x321 + 0.3*x331 + 0.3*x341 - x351 =E= 0;

e168..  - x177 - x178 - x179 - x180 - x181 - x182 - x183 - x184 - x185 - x186
        - x282 + x342 =E= 0;

e169..  - x187 - x188 - x189 - x190 - x191 - x192 - x193 - x194 - x195 - x196
        - x283 + x343 =E= 0;

e170..  - x197 - x198 - x199 - x200 - x201 - x202 - x203 - x204 - x205 - x206
        - x284 + x344 =E= 0;

e171..  - x207 - x208 - x209 - x210 - x211 - x212 - x213 - x214 - x215 - x216
        - x285 + x345 =E= 0;

e172..  - x217 - x218 - x219 - x220 - x221 - x222 - x223 - x224 - x225 - x226
        - x286 + x346 =E= 0;

e173..  - x227 - x228 - x229 - x230 - x231 - x232 - x233 - x234 - x235 - x236
        - x287 + x347 =E= 0;

e174..  - x237 - x238 - x239 - x240 - x241 - x242 - x243 - x244 - x245 - x246
        - x288 + x348 =E= 0;

e175..  - x247 - x248 - x249 - x250 - x251 - x252 - x253 - x254 - x255 - x256
        - x289 + x349 =E= 0;

e176..  - x257 - x258 - x259 - x260 - x261 - x262 - x263 - x264 - x265 - x266
        - x290 + x350 =E= 0;

e177..  - x267 - x268 - x269 - x270 - x271 - x272 - x273 - x274 - x275 - x276
        - x291 + x351 =E= 0;

e178.. x342*x352 - x177 =E= 0;

e179.. x342*x353 - x178 =E= 0;

e180.. x342*x354 - x179 =E= 0;

e181.. x342*x355 - x180 =E= 0;

e182.. x342*x356 - x181 =E= 0;

e183.. x342*x357 - x182 =E= 0;

e184.. x342*x358 - x183 =E= 0;

e185.. x342*x359 - x184 =E= 0;

e186.. x342*x360 - x185 =E= 0;

e187.. x342*x361 - x186 =E= 0;

e188.. x343*x362 - x187 =E= 0;

e189.. x343*x363 - x188 =E= 0;

e190.. x343*x364 - x189 =E= 0;

e191.. x343*x365 - x190 =E= 0;

e192.. x343*x366 - x191 =E= 0;

e193.. x343*x367 - x192 =E= 0;

e194.. x343*x368 - x193 =E= 0;

e195.. x343*x369 - x194 =E= 0;

e196.. x343*x370 - x195 =E= 0;

e197.. x343*x371 - x196 =E= 0;

e198.. x344*x372 - x197 =E= 0;

e199.. x344*x373 - x198 =E= 0;

e200.. x344*x374 - x199 =E= 0;

e201.. x344*x375 - x200 =E= 0;

e202.. x344*x376 - x201 =E= 0;

e203.. x344*x377 - x202 =E= 0;

e204.. x344*x378 - x203 =E= 0;

e205.. x344*x379 - x204 =E= 0;

e206.. x344*x380 - x205 =E= 0;

e207.. x344*x381 - x206 =E= 0;

e208.. x345*x382 - x207 =E= 0;

e209.. x345*x383 - x208 =E= 0;

e210.. x345*x384 - x209 =E= 0;

e211.. x345*x385 - x210 =E= 0;

e212.. x345*x386 - x211 =E= 0;

e213.. x345*x387 - x212 =E= 0;

e214.. x345*x388 - x213 =E= 0;

e215.. x345*x389 - x214 =E= 0;

e216.. x345*x390 - x215 =E= 0;

e217.. x345*x391 - x216 =E= 0;

e218.. x346*x392 - x217 =E= 0;

e219.. x346*x393 - x218 =E= 0;

e220.. x346*x394 - x219 =E= 0;

e221.. x346*x395 - x220 =E= 0;

e222.. x346*x396 - x221 =E= 0;

e223.. x346*x397 - x222 =E= 0;

e224.. x346*x398 - x223 =E= 0;

e225.. x346*x399 - x224 =E= 0;

e226.. x346*x400 - x225 =E= 0;

e227.. x346*x401 - x226 =E= 0;

e228.. x347*x402 - x227 =E= 0;

e229.. x347*x403 - x228 =E= 0;

e230.. x347*x404 - x229 =E= 0;

e231.. x347*x405 - x230 =E= 0;

e232.. x347*x406 - x231 =E= 0;

e233.. x347*x407 - x232 =E= 0;

e234.. x347*x408 - x233 =E= 0;

e235.. x347*x409 - x234 =E= 0;

e236.. x347*x410 - x235 =E= 0;

e237.. x347*x411 - x236 =E= 0;

e238.. x348*x412 - x237 =E= 0;

e239.. x348*x413 - x238 =E= 0;

e240.. x348*x414 - x239 =E= 0;

e241.. x348*x415 - x240 =E= 0;

e242.. x348*x416 - x241 =E= 0;

e243.. x348*x417 - x242 =E= 0;

e244.. x348*x418 - x243 =E= 0;

e245.. x348*x419 - x244 =E= 0;

e246.. x348*x420 - x245 =E= 0;

e247.. x348*x421 - x246 =E= 0;

e248.. x349*x422 - x247 =E= 0;

e249.. x349*x423 - x248 =E= 0;

e250.. x349*x424 - x249 =E= 0;

e251.. x349*x425 - x250 =E= 0;

e252.. x349*x426 - x251 =E= 0;

e253.. x349*x427 - x252 =E= 0;

e254.. x349*x428 - x253 =E= 0;

e255.. x349*x429 - x254 =E= 0;

e256.. x349*x430 - x255 =E= 0;

e257.. x349*x431 - x256 =E= 0;

e258.. x350*x432 - x257 =E= 0;

e259.. x350*x433 - x258 =E= 0;

e260.. x350*x434 - x259 =E= 0;

e261.. x350*x435 - x260 =E= 0;

e262.. x350*x436 - x261 =E= 0;

e263.. x350*x437 - x262 =E= 0;

e264.. x350*x438 - x263 =E= 0;

e265.. x350*x439 - x264 =E= 0;

e266.. x350*x440 - x265 =E= 0;

e267.. x350*x441 - x266 =E= 0;

e268.. x351*x442 - x267 =E= 0;

e269.. x351*x443 - x268 =E= 0;

e270.. x351*x444 - x269 =E= 0;

e271.. x351*x445 - x270 =E= 0;

e272.. x351*x446 - x271 =E= 0;

e273.. x351*x447 - x272 =E= 0;

e274.. x351*x448 - x273 =E= 0;

e275.. x351*x449 - x274 =E= 0;

e276.. x351*x450 - x275 =E= 0;

e277.. x351*x451 - x276 =E= 0;

e278.. x342*x457 - x282 =E= 0;

e279.. x343*x458 - x283 =E= 0;

e280.. x344*x459 - x284 =E= 0;

e281.. x345*x460 - x285 =E= 0;

e282.. x346*x461 - x286 =E= 0;

e283.. x347*x462 - x287 =E= 0;

e284.. x348*x463 - x288 =E= 0;

e285.. x349*x464 - x289 =E= 0;

e286.. x350*x465 - x290 =E= 0;

e287.. x351*x466 - x291 =E= 0;

e288.. x167*x352 - x1 =E= 0;

e289.. x167*x353 - x2 =E= 0;

e290.. x167*x354 - x3 =E= 0;

e291.. x167*x355 - x4 =E= 0;

e292.. x167*x356 - x5 =E= 0;

e293.. x167*x357 - x6 =E= 0;

e294.. x167*x358 - x7 =E= 0;

e295.. x167*x359 - x8 =E= 0;

e296.. x167*x360 - x9 =E= 0;

e297.. x167*x361 - x10 =E= 0;

e298.. x168*x362 - x11 =E= 0;

e299.. x168*x363 - x12 =E= 0;

e300.. x168*x364 - x13 =E= 0;

e301.. x168*x365 - x14 =E= 0;

e302.. x168*x366 - x15 =E= 0;

e303.. x168*x367 - x16 =E= 0;

e304.. x168*x368 - x17 =E= 0;

e305.. x168*x369 - x18 =E= 0;

e306.. x168*x370 - x19 =E= 0;

e307.. x168*x371 - x20 =E= 0;

e308.. x169*x372 - x21 =E= 0;

e309.. x169*x373 - x22 =E= 0;

e310.. x169*x374 - x23 =E= 0;

e311.. x169*x375 - x24 =E= 0;

e312.. x169*x376 - x25 =E= 0;

e313.. x169*x377 - x26 =E= 0;

e314.. x169*x378 - x27 =E= 0;

e315.. x169*x379 - x28 =E= 0;

e316.. x169*x380 - x29 =E= 0;

e317.. x169*x381 - x30 =E= 0;

e318.. x170*x382 - x31 =E= 0;

e319.. x170*x383 - x32 =E= 0;

e320.. x170*x384 - x33 =E= 0;

e321.. x170*x385 - x34 =E= 0;

e322.. x170*x386 - x35 =E= 0;

e323.. x170*x387 - x36 =E= 0;

e324.. x170*x388 - x37 =E= 0;

e325.. x170*x389 - x38 =E= 0;

e326.. x170*x390 - x39 =E= 0;

e327.. x170*x391 - x40 =E= 0;

e328.. x171*x392 - x41 =E= 0;

e329.. x171*x393 - x42 =E= 0;

e330.. x171*x394 - x43 =E= 0;

e331.. x171*x395 - x44 =E= 0;

e332.. x171*x396 - x45 =E= 0;

e333.. x171*x397 - x46 =E= 0;

e334.. x171*x398 - x47 =E= 0;

e335.. x171*x399 - x48 =E= 0;

e336.. x171*x400 - x49 =E= 0;

e337.. x171*x401 - x50 =E= 0;

e338.. x172*x402 - x51 =E= 0;

e339.. x172*x403 - x52 =E= 0;

e340.. x172*x404 - x53 =E= 0;

e341.. x172*x405 - x54 =E= 0;

e342.. x172*x406 - x55 =E= 0;

e343.. x172*x407 - x56 =E= 0;

e344.. x172*x408 - x57 =E= 0;

e345.. x172*x409 - x58 =E= 0;

e346.. x172*x410 - x59 =E= 0;

e347.. x172*x411 - x60 =E= 0;

e348.. x173*x412 - x61 =E= 0;

e349.. x173*x413 - x62 =E= 0;

e350.. x173*x414 - x63 =E= 0;

e351.. x173*x415 - x64 =E= 0;

e352.. x173*x416 - x65 =E= 0;

e353.. x173*x417 - x66 =E= 0;

e354.. x173*x418 - x67 =E= 0;

e355.. x173*x419 - x68 =E= 0;

e356.. x173*x420 - x69 =E= 0;

e357.. x173*x421 - x70 =E= 0;

e358.. x174*x422 - x71 =E= 0;

e359.. x174*x423 - x72 =E= 0;

e360.. x174*x424 - x73 =E= 0;

e361.. x174*x425 - x74 =E= 0;

e362.. x174*x426 - x75 =E= 0;

e363.. x174*x427 - x76 =E= 0;

e364.. x174*x428 - x77 =E= 0;

e365.. x174*x429 - x78 =E= 0;

e366.. x174*x430 - x79 =E= 0;

e367.. x174*x431 - x80 =E= 0;

e368.. x175*x432 - x81 =E= 0;

e369.. x175*x433 - x82 =E= 0;

e370.. x175*x434 - x83 =E= 0;

e371.. x175*x435 - x84 =E= 0;

e372.. x175*x436 - x85 =E= 0;

e373.. x175*x437 - x86 =E= 0;

e374.. x175*x438 - x87 =E= 0;

e375.. x175*x439 - x88 =E= 0;

e376.. x175*x440 - x89 =E= 0;

e377.. x175*x441 - x90 =E= 0;

e378.. x176*x442 - x91 =E= 0;

e379.. x176*x443 - x92 =E= 0;

e380.. x176*x444 - x93 =E= 0;

e381.. x176*x445 - x94 =E= 0;

e382.. x176*x446 - x95 =E= 0;

e383.. x176*x447 - x96 =E= 0;

e384.. x176*x448 - x97 =E= 0;

e385.. x176*x449 - x98 =E= 0;

e386.. x176*x450 - x99 =E= 0;

e387.. x176*x451 - x100 =E= 0;

e388.. x167*x457 - x106 =E= 0;

e389.. x168*x458 - x107 =E= 0;

e390.. x169*x459 - x108 =E= 0;

e391.. x170*x460 - x109 =E= 0;

e392.. x171*x461 - x110 =E= 0;

e393.. x172*x462 - x111 =E= 0;

e394.. x173*x463 - x112 =E= 0;

e395.. x174*x464 - x113 =E= 0;

e396.. x175*x465 - x114 =E= 0;

e397.. x176*x466 - x115 =E= 0;

e398..    x352 + x353 + x354 + x355 + x356 + x357 + x358 + x359 + x360 + x361
        + x457 =E= 1;

e399..    x362 + x363 + x364 + x365 + x366 + x367 + x368 + x369 + x370 + x371
        + x458 =E= 1;

e400..    x372 + x373 + x374 + x375 + x376 + x377 + x378 + x379 + x380 + x381
        + x459 =E= 1;

e401..    x382 + x383 + x384 + x385 + x386 + x387 + x388 + x389 + x390 + x391
        + x460 =E= 1;

e402..    x392 + x393 + x394 + x395 + x396 + x397 + x398 + x399 + x400 + x401
        + x461 =E= 1;

e403..    x402 + x403 + x404 + x405 + x406 + x407 + x408 + x409 + x410 + x411
        + x462 =E= 1;

e404..    x412 + x413 + x414 + x415 + x416 + x417 + x418 + x419 + x420 + x421
        + x463 =E= 1;

e405..    x422 + x423 + x424 + x425 + x426 + x427 + x428 + x429 + x430 + x431
        + x464 =E= 1;

e406..    x432 + x433 + x434 + x435 + x436 + x437 + x438 + x439 + x440 + x441
        + x465 =E= 1;

e407..    x442 + x443 + x444 + x445 + x446 + x447 + x448 + x449 + x450 + x451
        + x466 =E= 1;

e408..  - 10*x166 + x277 + x278 + x279 + x280 + x281 + x282 + x283 + x284
        + x285 + x286 + x287 + x288 + x289 + x290 + x291 =L= 0;

* set non-default bounds
x1.up = 1000000;
x2.up = 1000000;
x3.up = 1000000;
x4.up = 1000000;
x5.up = 1000000;
x6.up = 1000000;
x7.up = 1000000;
x8.up = 1000000;
x9.up = 1000000;
x10.up = 1000000;
x11.up = 1000000;
x12.up = 1000000;
x13.up = 1000000;
x14.up = 1000000;
x15.up = 1000000;
x16.up = 1000000;
x17.up = 1000000;
x18.up = 1000000;
x19.up = 1000000;
x20.up = 1000000;
x21.up = 1000000;
x22.up = 1000000;
x23.up = 1000000;
x24.up = 1000000;
x25.up = 1000000;
x26.up = 1000000;
x27.up = 1000000;
x28.up = 1000000;
x29.up = 1000000;
x30.up = 1000000;
x31.up = 1000000;
x32.up = 1000000;
x33.up = 1000000;
x34.up = 1000000;
x35.up = 1000000;
x36.up = 1000000;
x37.up = 1000000;
x38.up = 1000000;
x39.up = 1000000;
x40.up = 1000000;
x41.up = 1000000;
x42.up = 1000000;
x43.up = 1000000;
x44.up = 1000000;
x45.up = 1000000;
x46.up = 1000000;
x47.up = 1000000;
x48.up = 1000000;
x49.up = 1000000;
x50.up = 1000000;
x51.up = 1000000;
x52.up = 1000000;
x53.up = 1000000;
x54.up = 1000000;
x55.up = 1000000;
x56.up = 1000000;
x57.up = 1000000;
x58.up = 1000000;
x59.up = 1000000;
x60.up = 1000000;
x61.up = 1000000;
x62.up = 1000000;
x63.up = 1000000;
x64.up = 1000000;
x65.up = 1000000;
x66.up = 1000000;
x67.up = 1000000;
x68.up = 1000000;
x69.up = 1000000;
x70.up = 1000000;
x71.up = 1000000;
x72.up = 1000000;
x73.up = 1000000;
x74.up = 1000000;
x75.up = 1000000;
x76.up = 1000000;
x77.up = 1000000;
x78.up = 1000000;
x79.up = 1000000;
x80.up = 1000000;
x81.up = 1000000;
x82.up = 1000000;
x83.up = 1000000;
x84.up = 1000000;
x85.up = 1000000;
x86.up = 1000000;
x87.up = 1000000;
x88.up = 1000000;
x89.up = 1000000;
x90.up = 1000000;
x91.up = 1000000;
x92.up = 1000000;
x93.up = 1000000;
x94.up = 1000000;
x95.up = 1000000;
x96.up = 1000000;
x97.up = 1000000;
x98.up = 1000000;
x99.up = 1000000;
x100.up = 1000000;
x101.up = 1000000;
x102.up = 1000000;
x103.up = 1000000;
x104.up = 1000000;
x105.up = 1000000;
x106.up = 1000000;
x107.up = 1000000;
x108.up = 1000000;
x109.up = 1000000;
x110.up = 1000000;
x111.up = 1000000;
x112.up = 1000000;
x113.up = 1000000;
x114.up = 1000000;
x115.up = 1000000;
x116.up = 1000000;
x117.up = 1000000;
x118.up = 1000000;
x119.up = 1000000;
x120.up = 1000000;
x121.up = 1000000;
x122.up = 1000000;
x123.up = 1000000;
x124.up = 1000000;
x125.up = 1000000;
x126.up = 1000000;
x127.up = 1000000;
x128.up = 1000000;
x129.up = 1000000;
x130.up = 1000000;
x131.up = 1000000;
x132.up = 1000000;
x133.up = 1000000;
x134.up = 1000000;
x135.up = 1000000;
x136.up = 1000000;
x137.up = 1000000;
x138.up = 1000000;
x139.up = 1000000;
x140.up = 1000000;
x141.up = 1000000;
x142.up = 1000000;
x143.up = 1000000;
x144.up = 1000000;
x145.up = 1000000;
x146.up = 1000000;
x147.up = 1000000;
x148.up = 1000000;
x149.up = 1000000;
x150.up = 1000000;
x151.up = 1000000;
x152.up = 1000000;
x153.up = 1000000;
x154.up = 1000000;
x155.up = 1000000;
x156.up = 1000000;
x157.up = 1000000;
x158.up = 1000000;
x159.up = 1000000;
x160.up = 1000000;
x161.up = 1000000;
x162.up = 1000000;
x163.up = 1000000;
x164.up = 1000000;
x165.up = 1000000;
x166.up = 1000000;
x167.up = 1000000;
x168.up = 1000000;
x169.up = 1000000;
x170.up = 1000000;
x171.up = 1000000;
x172.up = 1000000;
x173.up = 1000000;
x174.up = 1000000;
x175.up = 1000000;
x176.up = 1000000;
x177.up = 1000000;
x178.up = 1000000;
x179.up = 1000000;
x180.up = 1000000;
x181.up = 1000000;
x182.up = 1000000;
x183.up = 1000000;
x184.up = 1000000;
x185.up = 1000000;
x186.up = 1000000;
x187.up = 1000000;
x188.up = 1000000;
x189.up = 1000000;
x190.up = 1000000;
x191.up = 1000000;
x192.up = 1000000;
x193.up = 1000000;
x194.up = 1000000;
x195.up = 1000000;
x196.up = 1000000;
x197.up = 1000000;
x198.up = 1000000;
x199.up = 1000000;
x200.up = 1000000;
x201.up = 1000000;
x202.up = 1000000;
x203.up = 1000000;
x204.up = 1000000;
x205.up = 1000000;
x206.up = 1000000;
x207.up = 1000000;
x208.up = 1000000;
x209.up = 1000000;
x210.up = 1000000;
x211.up = 1000000;
x212.up = 1000000;
x213.up = 1000000;
x214.up = 1000000;
x215.up = 1000000;
x216.up = 1000000;
x217.up = 1000000;
x218.up = 1000000;
x219.up = 1000000;
x220.up = 1000000;
x221.up = 1000000;
x222.up = 1000000;
x223.up = 1000000;
x224.up = 1000000;
x225.up = 1000000;
x226.up = 1000000;
x227.up = 1000000;
x228.up = 1000000;
x229.up = 1000000;
x230.up = 1000000;
x231.up = 1000000;
x232.up = 1000000;
x233.up = 1000000;
x234.up = 1000000;
x235.up = 1000000;
x236.up = 1000000;
x237.up = 1000000;
x238.up = 1000000;
x239.up = 1000000;
x240.up = 1000000;
x241.up = 1000000;
x242.up = 1000000;
x243.up = 1000000;
x244.up = 1000000;
x245.up = 1000000;
x246.up = 1000000;
x247.up = 1000000;
x248.up = 1000000;
x249.up = 1000000;
x250.up = 1000000;
x251.up = 1000000;
x252.up = 1000000;
x253.up = 1000000;
x254.up = 1000000;
x255.up = 1000000;
x256.up = 1000000;
x257.up = 1000000;
x258.up = 1000000;
x259.up = 1000000;
x260.up = 1000000;
x261.up = 1000000;
x262.up = 1000000;
x263.up = 1000000;
x264.up = 1000000;
x265.up = 1000000;
x266.up = 1000000;
x267.up = 1000000;
x268.up = 1000000;
x269.up = 1000000;
x270.up = 1000000;
x271.up = 1000000;
x272.up = 1000000;
x273.up = 1000000;
x274.up = 1000000;
x275.up = 1000000;
x276.up = 1000000;
x277.up = 1000000;
x278.up = 1000000;
x279.up = 1000000;
x280.up = 1000000;
x281.up = 1000000;
x282.up = 1000000;
x283.up = 1000000;
x284.up = 1000000;
x285.up = 1000000;
x286.up = 1000000;
x287.up = 1000000;
x288.up = 1000000;
x289.up = 1000000;
x290.up = 1000000;
x291.up = 1000000;
x292.up = 1000000;
x293.up = 1000000;
x294.up = 1000000;
x295.up = 1000000;
x296.up = 1000000;
x297.up = 1000000;
x298.up = 1000000;
x299.up = 1000000;
x300.up = 1000000;
x301.up = 1000000;
x302.up = 1000000;
x303.up = 1000000;
x304.up = 1000000;
x305.up = 1000000;
x306.up = 1000000;
x307.up = 1000000;
x308.up = 1000000;
x309.up = 1000000;
x310.up = 1000000;
x311.up = 1000000;
x312.up = 1000000;
x313.up = 1000000;
x314.up = 1000000;
x315.up = 1000000;
x316.up = 1000000;
x317.up = 1000000;
x318.up = 1000000;
x319.up = 1000000;
x320.up = 1000000;
x321.up = 1000000;
x322.up = 1000000;
x323.up = 1000000;
x324.up = 1000000;
x325.up = 1000000;
x326.up = 1000000;
x327.up = 1000000;
x328.up = 1000000;
x329.up = 1000000;
x330.up = 1000000;
x331.up = 1000000;
x332.up = 1000000;
x333.up = 1000000;
x334.up = 1000000;
x335.up = 1000000;
x336.up = 1000000;
x337.up = 1000000;
x338.up = 1000000;
x339.up = 1000000;
x340.up = 1000000;
x341.up = 1000000;
x342.up = 1000000;
x343.up = 1000000;
x344.up = 1000000;
x345.up = 1000000;
x346.up = 1000000;
x347.up = 1000000;
x348.up = 1000000;
x349.up = 1000000;
x350.up = 1000000;
x351.up = 1000000;
x352.up = 1000000;
x353.up = 1000000;
x354.up = 1000000;
x355.up = 1000000;
x356.up = 1000000;
x357.up = 1000000;
x358.up = 1000000;
x359.up = 1000000;
x360.up = 1000000;
x361.up = 1000000;
x362.up = 1000000;
x363.up = 1000000;
x364.up = 1000000;
x365.up = 1000000;
x366.up = 1000000;
x367.up = 1000000;
x368.up = 1000000;
x369.up = 1000000;
x370.up = 1000000;
x371.up = 1000000;
x372.up = 1000000;
x373.up = 1000000;
x374.up = 1000000;
x375.up = 1000000;
x376.up = 1000000;
x377.up = 1000000;
x378.up = 1000000;
x379.up = 1000000;
x380.up = 1000000;
x381.up = 1000000;
x382.up = 1000000;
x383.up = 1000000;
x384.up = 1000000;
x385.up = 1000000;
x386.up = 1000000;
x387.up = 1000000;
x388.up = 1000000;
x389.up = 1000000;
x390.up = 1000000;
x391.up = 1000000;
x392.up = 1000000;
x393.up = 1000000;
x394.up = 1000000;
x395.up = 1000000;
x396.up = 1000000;
x397.up = 1000000;
x398.up = 1000000;
x399.up = 1000000;
x400.up = 1000000;
x401.up = 1000000;
x402.up = 1000000;
x403.up = 1000000;
x404.up = 1000000;
x405.up = 1000000;
x406.up = 1000000;
x407.up = 1000000;
x408.up = 1000000;
x409.up = 1000000;
x410.up = 1000000;
x411.up = 1000000;
x412.up = 1000000;
x413.up = 1000000;
x414.up = 1000000;
x415.up = 1000000;
x416.up = 1000000;
x417.up = 1000000;
x418.up = 1000000;
x419.up = 1000000;
x420.up = 1000000;
x421.up = 1000000;
x422.up = 1000000;
x423.up = 1000000;
x424.up = 1000000;
x425.up = 1000000;
x426.up = 1000000;
x427.up = 1000000;
x428.up = 1000000;
x429.up = 1000000;
x430.up = 1000000;
x431.up = 1000000;
x432.up = 1000000;
x433.up = 1000000;
x434.up = 1000000;
x435.up = 1000000;
x436.up = 1000000;
x437.up = 1000000;
x438.up = 1000000;
x439.up = 1000000;
x440.up = 1000000;
x441.up = 1000000;
x442.up = 1000000;
x443.up = 1000000;
x444.up = 1000000;
x445.up = 1000000;
x446.up = 1000000;
x447.up = 1000000;
x448.up = 1000000;
x449.up = 1000000;
x450.up = 1000000;
x451.up = 1000000;
x452.up = 1000000;
x453.up = 1000000;
x454.up = 1000000;
x455.up = 1000000;
x456.up = 1000000;
x457.up = 1000000;
x458.up = 1000000;
x459.up = 1000000;
x460.up = 1000000;
x461.up = 1000000;
x462.up = 1000000;
x463.up = 1000000;
x464.up = 1000000;
x465.up = 1000000;
x466.up = 1000000;
x467.up = 1000000;
x468.up = 1000000;
x469.up = 1000000;
x470.up = 1000000;
x471.up = 1000000;
x472.up = 1000000;
x473.up = 1000000;
x474.up = 1000000;
x475.up = 1000000;
x476.up = 1000000;
x477.up = 1000000;
x478.up = 1000000;
x479.up = 1000000;
x480.up = 1000000;
x481.up = 1000000;
x482.up = 1000000;
x483.up = 1000000;
x484.up = 1000000;
x485.up = 1000000;
x486.up = 1000000;
x487.up = 1000000;
x488.up = 1000000;
x489.up = 1000000;
x490.up = 1000000;
x491.up = 1000000;
x492.up = 1000000;
x493.up = 1000000;
x494.up = 1000000;
x495.up = 1000000;
x496.up = 1000000;
x497.up = 1000000;
x498.up = 1000000;
x499.up = 1000000;
x500.up = 1000000;
x501.up = 1000000;
x502.up = 1000000;
x503.up = 1000000;
x504.up = 1000000;
x505.up = 1000000;
x506.up = 1000000;
x507.up = 1000000;
x508.up = 1000000;
x509.up = 1000000;
x510.up = 1000000;
x511.up = 1000000;
x512.up = 1000000;
x513.up = 1000000;
x514.up = 1000000;
x515.up = 1000000;
x516.up = 1000000;

Model m / all /;

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

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

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


Last updated: 2022-10-14 Git hash: 2be6d7c0
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