MINLPLib

A Library of Mixed-Integer and Continuous Nonlinear Programming Instances

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Instance multiplants_stg6

Formats ams gms mod nl osil py
Primal Bounds (infeas ≤ 1e-08)
5166.12130300 p1 ( gdx sol )
(infeas: 9e-10)
Other points (infeas > 1e-08)  
Dual Bounds
5166.12130300 (ANTIGONE)
10291.15523000 (BARON)
91806.09744000 (COUENNE)
37263.66579000 (LINDO)
71067.42481000 (SCIP)
208137.72000000 (SHOT)
References Castro, Pedro M and Novais, Augusto Q, Periodic Scheduling of Continuous Multiproduct Plants, 2009.
Source STG_EX6.gms from minlp.org model 34
Application Periodic Scheduling of Continuous Multiproduct Plants
Added to library 24 Sep 2013
Problem type MBNLP
#Variables 694
#Binary Variables 384
#Integer Variables 0
#Nonlinear Variables 46
#Nonlinear Binary Variables 0
#Nonlinear Integer Variables 0
Objective Sense max
Objective type linear
Objective curvature linear
#Nonzeros in Objective 1
#Nonlinear Nonzeros in Objective 0
#Constraints 388
#Linear Constraints 355
#Quadratic Constraints 1
#Polynomial Constraints 0
#Signomial Constraints 32
#General Nonlinear Constraints 0
Operands in Gen. Nonlin. Functions  
Constraints curvature indefinite
#Nonzeros in Jacobian 2887
#Nonlinear Nonzeros in Jacobian 166
#Nonzeros in (Upper-Left) Hessian of Lagrangian 291
#Nonzeros in Diagonal of Hessian of Lagrangian 1
#Blocks in Hessian of Lagrangian 1
Minimal blocksize in Hessian of Lagrangian 46
Maximal blocksize in Hessian of Lagrangian 46
Average blocksize in Hessian of Lagrangian 46.0
#Semicontinuities 0
#Nonlinear Semicontinuities 0
#SOS type 1 0
#SOS type 2 0
Minimal coefficient 5.3763e-04
Maximal coefficient 1.1160e+06
Infeasibility of initial point 1e+05
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
*        388      197       28      163        0        0        0        0
*  
*  Variable counts
*                   x        b        i      s1s      s2s       sc       si
*      Total     cont   binary  integer     sos1     sos2    scont     sint
*        694      310      384        0        0        0        0        0
*  FX     97
*  
*  Nonzero counts
*      Total    const       NL      DLL
*       2887     2721      166        0
*
*  Solve m using MINLP maximizing objvar;


Variables  b1,b2,b3,b4,b5,b6,b7,b8,b9,b10,b11,b12,b13,b14,b15,b16,b17,b18,b19
          ,b20,b21,b22,b23,b24,b25,b26,b27,b28,b29,b30,b31,b32,b33,b34,b35,b36
          ,b37,b38,b39,b40,b41,b42,b43,b44,b45,b46,b47,b48,b49,b50,b51,b52,b53
          ,b54,b55,b56,b57,b58,b59,b60,b61,b62,b63,b64,b65,b66,b67,b68,b69,b70
          ,b71,b72,b73,b74,b75,b76,b77,b78,b79,b80,b81,b82,b83,b84,b85,b86,b87
          ,b88,b89,b90,b91,b92,b93,b94,b95,b96,b97,b98,b99,b100,b101,b102,b103
          ,b104,b105,b106,b107,b108,b109,b110,b111,b112,b113,b114,b115,b116
          ,b117,b118,b119,b120,b121,b122,b123,b124,b125,b126,b127,b128,b129
          ,b130,b131,b132,b133,b134,b135,b136,b137,b138,b139,b140,b141,b142
          ,b143,b144,b145,b146,b147,b148,b149,b150,b151,b152,b153,b154,b155
          ,b156,b157,b158,b159,b160,b161,b162,b163,b164,b165,b166,b167,b168
          ,b169,b170,b171,b172,b173,b174,b175,b176,b177,b178,b179,b180,b181
          ,b182,b183,b184,b185,b186,b187,b188,b189,b190,b191,b192,b193,b194
          ,b195,b196,b197,b198,b199,b200,b201,b202,b203,b204,b205,b206,b207
          ,b208,b209,b210,b211,b212,b213,b214,b215,b216,b217,b218,b219,b220
          ,b221,b222,b223,b224,b225,b226,b227,b228,b229,b230,b231,b232,b233
          ,b234,b235,b236,b237,b238,b239,b240,b241,b242,b243,b244,b245,b246
          ,b247,b248,b249,b250,b251,b252,b253,b254,b255,b256,b257,b258,b259
          ,b260,b261,b262,b263,b264,b265,b266,b267,b268,b269,b270,b271,b272
          ,b273,b274,b275,b276,b277,b278,b279,b280,b281,b282,b283,b284,b285
          ,b286,b287,b288,b289,b290,b291,b292,b293,b294,b295,b296,b297,b298
          ,b299,b300,b301,b302,b303,b304,b305,b306,b307,b308,b309,b310,b311
          ,b312,b313,b314,b315,b316,b317,b318,b319,b320,b321,b322,b323,b324
          ,b325,b326,b327,b328,b329,b330,b331,b332,b333,b334,b335,b336,b337
          ,b338,b339,b340,b341,b342,b343,b344,b345,b346,b347,b348,b349,b350
          ,b351,b352,b353,b354,b355,b356,b357,b358,b359,b360,b361,b362,b363
          ,b364,b365,b366,b367,b368,b369,b370,b371,b372,b373,b374,b375,b376
          ,b377,b378,b379,b380,b381,b382,b383,b384,x385,x386,x387,x388,x389
          ,x390,x391,x392,x393,x394,x395,x396,x397,x398,x399,x400,x401,x402
          ,x403,x404,x405,x406,x407,x408,x409,x410,x411,x412,x413,x414,x415
          ,x416,x417,x418,x419,x420,x421,x422,x423,x424,x425,x426,x427,x428
          ,x429,x430,x431,x432,x433,x434,x435,x436,x437,x438,x439,x440,x441
          ,x442,x443,x444,x445,x446,x447,x448,x449,x450,x451,x452,x453,x454
          ,x455,x456,x457,x458,x459,x460,x461,x462,x463,x464,x465,x466,x467
          ,x468,x469,x470,x471,x472,x473,x474,x475,x476,x477,x478,x479,x480
          ,x481,x482,x483,x484,x485,x486,x487,x488,x489,x490,x491,x492,x493
          ,x494,x495,x496,x497,x498,x499,x500,x501,x502,x503,x504,x505,x506
          ,x507,x508,x509,x510,x511,x512,x513,x514,x515,x516,x517,x518,x519
          ,x520,x521,x522,x523,x524,x525,x526,x527,x528,x529,x530,x531,x532
          ,x533,x534,x535,x536,x537,x538,x539,x540,x541,x542,x543,x544,x545
          ,x546,x547,x548,x549,x550,x551,x552,x553,x554,x555,x556,x557,x558
          ,x559,x560,x561,x562,x563,x564,x565,x566,x567,x568,x569,x570,x571
          ,x572,x573,x574,x575,x576,x577,x578,x579,x580,x581,x582,x583,x584
          ,x585,x586,x587,x588,x589,x590,x591,x592,x593,x594,x595,x596,x597
          ,x598,x599,x600,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,x631,x632,x633,x634,x635,x636
          ,x637,x638,x639,x640,x641,x642,x643,x644,x645,x646,x647,x648,x649
          ,x650,x651,x652,x653,x654,x655,x656,x657,x658,x659,x660,x661,x662
          ,x663,x664,x665,x666,x667,x668,x669,x670,x671,x672,x673,x674,x675
          ,x676,x677,x678,x679,x680,x681,x682,x683,x684,x685,x686,x687,x688
          ,x689,x690,x691,x692,x693,objvar;

Positive Variables  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,x577,x578,x579,x580,x581,x582
          ,x583,x584,x585,x586,x587,x588,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,x631,x632,x633,x634
          ,x635,x636,x637,x638,x639,x640,x641,x642,x643,x644,x645,x646,x647
          ,x648,x649,x650,x651,x652,x653,x654,x655,x656,x657,x658,x659,x660
          ,x661,x662,x663,x664,x665,x666,x667,x668,x669,x670,x671,x672,x673
          ,x674,x675,x676,x678,x679,x680,x681,x682,x683,x684,x685,x686,x687
          ,x688,x689,x690,x691,x692;

Binary Variables  b1,b2,b3,b4,b5,b6,b7,b8,b9,b10,b11,b12,b13,b14,b15,b16,b17
          ,b18,b19,b20,b21,b22,b23,b24,b25,b26,b27,b28,b29,b30,b31,b32,b33,b34
          ,b35,b36,b37,b38,b39,b40,b41,b42,b43,b44,b45,b46,b47,b48,b49,b50,b51
          ,b52,b53,b54,b55,b56,b57,b58,b59,b60,b61,b62,b63,b64,b65,b66,b67,b68
          ,b69,b70,b71,b72,b73,b74,b75,b76,b77,b78,b79,b80,b81,b82,b83,b84,b85
          ,b86,b87,b88,b89,b90,b91,b92,b93,b94,b95,b96,b97,b98,b99,b100,b101
          ,b102,b103,b104,b105,b106,b107,b108,b109,b110,b111,b112,b113,b114
          ,b115,b116,b117,b118,b119,b120,b121,b122,b123,b124,b125,b126,b127
          ,b128,b129,b130,b131,b132,b133,b134,b135,b136,b137,b138,b139,b140
          ,b141,b142,b143,b144,b145,b146,b147,b148,b149,b150,b151,b152,b153
          ,b154,b155,b156,b157,b158,b159,b160,b161,b162,b163,b164,b165,b166
          ,b167,b168,b169,b170,b171,b172,b173,b174,b175,b176,b177,b178,b179
          ,b180,b181,b182,b183,b184,b185,b186,b187,b188,b189,b190,b191,b192
          ,b193,b194,b195,b196,b197,b198,b199,b200,b201,b202,b203,b204,b205
          ,b206,b207,b208,b209,b210,b211,b212,b213,b214,b215,b216,b217,b218
          ,b219,b220,b221,b222,b223,b224,b225,b226,b227,b228,b229,b230,b231
          ,b232,b233,b234,b235,b236,b237,b238,b239,b240,b241,b242,b243,b244
          ,b245,b246,b247,b248,b249,b250,b251,b252,b253,b254,b255,b256,b257
          ,b258,b259,b260,b261,b262,b263,b264,b265,b266,b267,b268,b269,b270
          ,b271,b272,b273,b274,b275,b276,b277,b278,b279,b280,b281,b282,b283
          ,b284,b285,b286,b287,b288,b289,b290,b291,b292,b293,b294,b295,b296
          ,b297,b298,b299,b300,b301,b302,b303,b304,b305,b306,b307,b308,b309
          ,b310,b311,b312,b313,b314,b315,b316,b317,b318,b319,b320,b321,b322
          ,b323,b324,b325,b326,b327,b328,b329,b330,b331,b332,b333,b334,b335
          ,b336,b337,b338,b339,b340,b341,b342,b343,b344,b345,b346,b347,b348
          ,b349,b350,b351,b352,b353,b354,b355,b356,b357,b358,b359,b360,b361
          ,b362,b363,b364,b365,b366,b367,b368,b369,b370,b371,b372,b373,b374
          ,b375,b376,b377,b378,b379,b380,b381,b382,b383,b384;

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;


e1.. objvar*x693 + (0.00203*x593 + 0.00203*x594)*(x678 - x677) + (0.00203*x594
      + 0.00203*x595)*(x679 - x678) + (0.00203*x595 + 0.00203*x596)*(x680 - 
     x679) + (0.00203*x596 + 0.00203*x597)*(x681 - x680) + (0.00203*x597 + 
     0.00203*x598)*(x682 - x681) + (0.00203*x598 + 0.00203*x599)*(x683 - x682)
      + (0.00203*x599 + 0.00203*x600)*(x684 - x683) + (0.00203*x593 + 0.00203*
     x600)*(x693 - x684) + (0.00203*x617 + 0.00203*x618)*(x678 - x677) + (
     0.00203*x618 + 0.00203*x619)*(x679 - x678) + (0.00203*x619 + 0.00203*x620)
     *(x680 - x679) + (0.00203*x620 + 0.00203*x621)*(x681 - x680) + (0.00203*
     x621 + 0.00203*x622)*(x682 - x681) + (0.00203*x622 + 0.00203*x623)*(x683
      - x682) + (0.00203*x623 + 0.00203*x624)*(x684 - x683) + (0.00203*x617 + 
     0.00203*x624)*(x693 - x684) + (0.00203*x641 + 0.00203*x642)*(x678 - x677)
      + (0.00203*x642 + 0.00203*x643)*(x679 - x678) + (0.00203*x643 + 0.00203*
     x644)*(x680 - x679) + (0.00203*x644 + 0.00203*x645)*(x681 - x680) + (
     0.00203*x645 + 0.00203*x646)*(x682 - x681) + (0.00203*x646 + 0.00203*x647)
     *(x683 - x682) + (0.00203*x647 + 0.00203*x648)*(x684 - x683) + (0.00203*
     x641 + 0.00203*x648)*(x693 - x684) + (0.00203*x665 + 0.00203*x666)*(x678
      - x677) + (0.00203*x666 + 0.00203*x667)*(x679 - x678) + (0.00203*x667 + 
     0.00203*x668)*(x680 - x679) + (0.00203*x668 + 0.00203*x669)*(x681 - x680)
      + (0.00203*x669 + 0.00203*x670)*(x682 - x681) + (0.00203*x670 + 0.00203*
     x671)*(x683 - x682) + (0.00203*x671 + 0.00203*x672)*(x684 - x683) + (
     0.00203*x665 + 0.00203*x672)*(x693 - x684) + 7600*b97 + 7600*b98
      + 7600*b99 + 7600*b100 + 7600*b101 + 7600*b102 + 7600*b103 + 7600*b104
      + 7600*b105 + 7600*b106 + 7600*b107 + 7600*b108 + 7600*b109 + 7600*b110
      + 7600*b111 + 7600*b112 + 7600*b113 + 7600*b114 + 7600*b115 + 7600*b116
      + 7600*b117 + 7600*b118 + 7600*b119 + 7600*b120 + 7500*b121 + 7500*b122
      + 7500*b123 + 7500*b124 + 7500*b125 + 7500*b126 + 7500*b127 + 7500*b128
      + 750*b129 + 750*b130 + 750*b131 + 750*b132 + 750*b133 + 750*b134
      + 750*b135 + 750*b136 + 3000*b137 + 3000*b138 + 3000*b139 + 3000*b140
      + 3000*b141 + 3000*b142 + 3000*b143 + 3000*b144 + 7700*b145 + 7700*b146
      + 7700*b147 + 7700*b148 + 7700*b149 + 7700*b150 + 7700*b151 + 7700*b152
      + 770*b153 + 770*b154 + 770*b155 + 770*b156 + 770*b157 + 770*b158
      + 770*b159 + 770*b160 + 3080*b161 + 3080*b162 + 3080*b163 + 3080*b164
      + 3080*b165 + 3080*b166 + 3080*b167 + 3080*b168 + 7600*b169 + 7600*b170
      + 7600*b171 + 7600*b172 + 7600*b173 + 7600*b174 + 7600*b175 + 7600*b176
      + 3040*b177 + 3040*b178 + 3040*b179 + 3040*b180 + 3040*b181 + 3040*b182
      + 3040*b183 + 3040*b184 + 3040*b185 + 3040*b186 + 3040*b187 + 3040*b188
      + 3040*b189 + 3040*b190 + 3040*b191 + 3040*b192 + 2280*b193 + 2280*b194
      + 2280*b195 + 2280*b196 + 2280*b197 + 2280*b198 + 2280*b199 + 2280*b200
      + 2280*b201 + 2280*b202 + 2280*b203 + 2280*b204 + 2280*b205 + 2280*b206
      + 2280*b207 + 2280*b208 + 9120*b209 + 9120*b210 + 9120*b211 + 9120*b212
      + 9120*b213 + 9120*b214 + 9120*b215 + 9120*b216 + 2250*b217 + 2250*b218
      + 2250*b219 + 2250*b220 + 2250*b221 + 2250*b222 + 2250*b223 + 2250*b224
      + 750*b225 + 750*b226 + 750*b227 + 750*b228 + 750*b229 + 750*b230
      + 750*b231 + 750*b232 + 9000*b233 + 9000*b234 + 9000*b235 + 9000*b236
      + 9000*b237 + 9000*b238 + 9000*b239 + 9000*b240 + 2310*b241 + 2310*b242
      + 2310*b243 + 2310*b244 + 2310*b245 + 2310*b246 + 2310*b247 + 2310*b248
      + 770*b249 + 770*b250 + 770*b251 + 770*b252 + 770*b253 + 770*b254
      + 770*b255 + 770*b256 + 9240*b257 + 9240*b258 + 9240*b259 + 9240*b260
      + 9240*b261 + 9240*b262 + 9240*b263 + 9240*b264 + 9120*b265 + 9120*b266
      + 9120*b267 + 9120*b268 + 9120*b269 + 9120*b270 + 9120*b271 + 9120*b272
      + 9120*b273 + 9120*b274 + 9120*b275 + 9120*b276 + 9120*b277 + 9120*b278
      + 9120*b279 + 9120*b280 + 9120*b281 + 9120*b282 + 9120*b283 + 9120*b284
      + 9120*b285 + 9120*b286 + 9120*b287 + 9120*b288 + 1520*b289 + 1520*b290
      + 1520*b291 + 1520*b292 + 1520*b293 + 1520*b294 + 1520*b295 + 1520*b296
      + 1520*b297 + 1520*b298 + 1520*b299 + 1520*b300 + 1520*b301 + 1520*b302
      + 1520*b303 + 1520*b304 + 6080*b305 + 6080*b306 + 6080*b307 + 6080*b308
      + 6080*b309 + 6080*b310 + 6080*b311 + 6080*b312 + 1500*b313 + 1500*b314
      + 1500*b315 + 1500*b316 + 1500*b317 + 1500*b318 + 1500*b319 + 1500*b320
      + 750*b321 + 750*b322 + 750*b323 + 750*b324 + 750*b325 + 750*b326
      + 750*b327 + 750*b328 + 6000*b329 + 6000*b330 + 6000*b331 + 6000*b332
      + 6000*b333 + 6000*b334 + 6000*b335 + 6000*b336 + 1540*b337 + 1540*b338
      + 1540*b339 + 1540*b340 + 1540*b341 + 1540*b342 + 1540*b343 + 1540*b344
      + 770*b345 + 770*b346 + 770*b347 + 770*b348 + 770*b349 + 770*b350
      + 770*b351 + 770*b352 + 6160*b353 + 6160*b354 + 6160*b355 + 6160*b356
      + 6160*b357 + 6160*b358 + 6160*b359 + 6160*b360 + 6080*b361 + 6080*b362
      + 6080*b363 + 6080*b364 + 6080*b365 + 6080*b366 + 6080*b367 + 6080*b368
      + 6080*b369 + 6080*b370 + 6080*b371 + 6080*b372 + 6080*b373 + 6080*b374
      + 6080*b375 + 6080*b376 + 6080*b377 + 6080*b378 + 6080*b379 + 6080*b380
      + 6080*b381 + 6080*b382 + 6080*b383 + 6080*b384 - 4*x673 - 1.5*x674
      - 6.5*x675 - 3*x676 + 0.1218*x685 + 0.1218*x686 + 0.1218*x687
      + 0.1218*x688 + 0.1218*x689 + 0.1218*x690 + 0.1218*x691 + 0.1218*x692
      =E= 0;

e2..    b1 - b8 + b97 + b105 + b113 - b128 - b152 - b176 + x481 - x488 =E= 0;

e3..  - b1 + b2 + b98 + b106 + b114 - b121 - b145 - b169 - x481 + x482 =E= 0;

e4..  - b2 + b3 + b99 + b107 + b115 - b122 - b146 - b170 - x482 + x483 =E= 0;

e5..  - b3 + b4 + b100 + b108 + b116 - b123 - b147 - b171 - x483 + x484 =E= 0;

e6..  - b4 + b5 + b101 + b109 + b117 - b124 - b148 - b172 - x484 + x485 =E= 0;

e7..  - b5 + b6 + b102 + b110 + b118 - b125 - b149 - b173 - x485 + x486 =E= 0;

e8..  - b6 + b7 + b103 + b111 + b119 - b126 - b150 - b174 - x486 + x487 =E= 0;

e9..  - b7 + b8 + b104 + b112 + b120 - b127 - b151 - b175 - x487 + x488 =E= 0;

e10..    b25 - b32 - b104 + b121 + b129 + b137 - b160 - b184 + x489 - x496
       =E= 0;

e11..  - b25 + b26 - b97 + b122 + b130 + b138 - b153 - b177 - x489 + x490 =E= 0
      ;

e12..  - b26 + b27 - b98 + b123 + b131 + b139 - b154 - b178 - x490 + x491 =E= 0
      ;

e13..  - b27 + b28 - b99 + b124 + b132 + b140 - b155 - b179 - x491 + x492 =E= 0
      ;

e14..  - b28 + b29 - b100 + b125 + b133 + b141 - b156 - b180 - x492 + x493
       =E= 0;

e15..  - b29 + b30 - b101 + b126 + b134 + b142 - b157 - b181 - x493 + x494
       =E= 0;

e16..  - b30 + b31 - b102 + b127 + b135 + b143 - b158 - b182 - x494 + x495
       =E= 0;

e17..  - b31 + b32 - b103 + b128 + b136 + b144 - b159 - b183 - x495 + x496
       =E= 0;

e18..    b49 - b56 - b112 - b136 + b145 + b153 + b161 - b192 + x497 - x504
       =E= 0;

e19..  - b49 + b50 - b105 - b129 + b146 + b154 + b162 - b185 - x497 + x498
       =E= 0;

e20..  - b50 + b51 - b106 - b130 + b147 + b155 + b163 - b186 - x498 + x499
       =E= 0;

e21..  - b51 + b52 - b107 - b131 + b148 + b156 + b164 - b187 - x499 + x500
       =E= 0;

e22..  - b52 + b53 - b108 - b132 + b149 + b157 + b165 - b188 - x500 + x501
       =E= 0;

e23..  - b53 + b54 - b109 - b133 + b150 + b158 + b166 - b189 - x501 + x502
       =E= 0;

e24..  - b54 + b55 - b110 - b134 + b151 + b159 + b167 - b190 - x502 + x503
       =E= 0;

e25..  - b55 + b56 - b111 - b135 + b152 + b160 + b168 - b191 - x503 + x504
       =E= 0;

e26..    b73 - b80 - b120 - b144 - b168 + b169 + b177 + b185 + x505 - x512
       =E= 0;

e27..  - b73 + b74 - b113 - b137 - b161 + b170 + b178 + b186 - x505 + x506
       =E= 0;

e28..  - b74 + b75 - b114 - b138 - b162 + b171 + b179 + b187 - x506 + x507
       =E= 0;

e29..  - b75 + b76 - b115 - b139 - b163 + b172 + b180 + b188 - x507 + x508
       =E= 0;

e30..  - b76 + b77 - b116 - b140 - b164 + b173 + b181 + b189 - x508 + x509
       =E= 0;

e31..  - b77 + b78 - b117 - b141 - b165 + b174 + b182 + b190 - x509 + x510
       =E= 0;

e32..  - b78 + b79 - b118 - b142 - b166 + b175 + b183 + b191 - x510 + x511
       =E= 0;

e33..  - b79 + b80 - b119 - b143 - b167 + b176 + b184 + b192 - x511 + x512
       =E= 0;

e34..    b9 - b16 + b193 + b201 + b209 - b224 - b248 - b272 + x513 - x520 =E= 0
      ;

e35..  - b9 + b10 + b194 + b202 + b210 - b217 - b241 - b265 - x513 + x514 =E= 0
      ;

e36..  - b10 + b11 + b195 + b203 + b211 - b218 - b242 - b266 - x514 + x515
       =E= 0;

e37..  - b11 + b12 + b196 + b204 + b212 - b219 - b243 - b267 - x515 + x516
       =E= 0;

e38..  - b12 + b13 + b197 + b205 + b213 - b220 - b244 - b268 - x516 + x517
       =E= 0;

e39..  - b13 + b14 + b198 + b206 + b214 - b221 - b245 - b269 - x517 + x518
       =E= 0;

e40..  - b14 + b15 + b199 + b207 + b215 - b222 - b246 - b270 - x518 + x519
       =E= 0;

e41..  - b15 + b16 + b200 + b208 + b216 - b223 - b247 - b271 - x519 + x520
       =E= 0;

e42..    b33 - b40 - b200 + b217 + b225 + b233 - b256 - b280 + x521 - x528
       =E= 0;

e43..  - b33 + b34 - b193 + b218 + b226 + b234 - b249 - b273 - x521 + x522
       =E= 0;

e44..  - b34 + b35 - b194 + b219 + b227 + b235 - b250 - b274 - x522 + x523
       =E= 0;

e45..  - b35 + b36 - b195 + b220 + b228 + b236 - b251 - b275 - x523 + x524
       =E= 0;

e46..  - b36 + b37 - b196 + b221 + b229 + b237 - b252 - b276 - x524 + x525
       =E= 0;

e47..  - b37 + b38 - b197 + b222 + b230 + b238 - b253 - b277 - x525 + x526
       =E= 0;

e48..  - b38 + b39 - b198 + b223 + b231 + b239 - b254 - b278 - x526 + x527
       =E= 0;

e49..  - b39 + b40 - b199 + b224 + b232 + b240 - b255 - b279 - x527 + x528
       =E= 0;

e50..    b57 - b64 - b208 - b232 + b241 + b249 + b257 - b288 + x529 - x536
       =E= 0;

e51..  - b57 + b58 - b201 - b225 + b242 + b250 + b258 - b281 - x529 + x530
       =E= 0;

e52..  - b58 + b59 - b202 - b226 + b243 + b251 + b259 - b282 - x530 + x531
       =E= 0;

e53..  - b59 + b60 - b203 - b227 + b244 + b252 + b260 - b283 - x531 + x532
       =E= 0;

e54..  - b60 + b61 - b204 - b228 + b245 + b253 + b261 - b284 - x532 + x533
       =E= 0;

e55..  - b61 + b62 - b205 - b229 + b246 + b254 + b262 - b285 - x533 + x534
       =E= 0;

e56..  - b62 + b63 - b206 - b230 + b247 + b255 + b263 - b286 - x534 + x535
       =E= 0;

e57..  - b63 + b64 - b207 - b231 + b248 + b256 + b264 - b287 - x535 + x536
       =E= 0;

e58..    b81 - b88 - b216 - b240 - b264 + b265 + b273 + b281 + x537 - x544
       =E= 0;

e59..  - b81 + b82 - b209 - b233 - b257 + b266 + b274 + b282 - x537 + x538
       =E= 0;

e60..  - b82 + b83 - b210 - b234 - b258 + b267 + b275 + b283 - x538 + x539
       =E= 0;

e61..  - b83 + b84 - b211 - b235 - b259 + b268 + b276 + b284 - x539 + x540
       =E= 0;

e62..  - b84 + b85 - b212 - b236 - b260 + b269 + b277 + b285 - x540 + x541
       =E= 0;

e63..  - b85 + b86 - b213 - b237 - b261 + b270 + b278 + b286 - x541 + x542
       =E= 0;

e64..  - b86 + b87 - b214 - b238 - b262 + b271 + b279 + b287 - x542 + x543
       =E= 0;

e65..  - b87 + b88 - b215 - b239 - b263 + b272 + b280 + b288 - x543 + x544
       =E= 0;

e66..    b17 - b24 + b289 + b297 + b305 - b320 - b344 - b368 + x545 - x552
       =E= 0;

e67..  - b17 + b18 + b290 + b298 + b306 - b313 - b337 - b361 - x545 + x546
       =E= 0;

e68..  - b18 + b19 + b291 + b299 + b307 - b314 - b338 - b362 - x546 + x547
       =E= 0;

e69..  - b19 + b20 + b292 + b300 + b308 - b315 - b339 - b363 - x547 + x548
       =E= 0;

e70..  - b20 + b21 + b293 + b301 + b309 - b316 - b340 - b364 - x548 + x549
       =E= 0;

e71..  - b21 + b22 + b294 + b302 + b310 - b317 - b341 - b365 - x549 + x550
       =E= 0;

e72..  - b22 + b23 + b295 + b303 + b311 - b318 - b342 - b366 - x550 + x551
       =E= 0;

e73..  - b23 + b24 + b296 + b304 + b312 - b319 - b343 - b367 - x551 + x552
       =E= 0;

e74..    b41 - b48 - b296 + b313 + b321 + b329 - b352 - b376 + x553 - x560
       =E= 0;

e75..  - b41 + b42 - b289 + b314 + b322 + b330 - b345 - b369 - x553 + x554
       =E= 0;

e76..  - b42 + b43 - b290 + b315 + b323 + b331 - b346 - b370 - x554 + x555
       =E= 0;

e77..  - b43 + b44 - b291 + b316 + b324 + b332 - b347 - b371 - x555 + x556
       =E= 0;

e78..  - b44 + b45 - b292 + b317 + b325 + b333 - b348 - b372 - x556 + x557
       =E= 0;

e79..  - b45 + b46 - b293 + b318 + b326 + b334 - b349 - b373 - x557 + x558
       =E= 0;

e80..  - b46 + b47 - b294 + b319 + b327 + b335 - b350 - b374 - x558 + x559
       =E= 0;

e81..  - b47 + b48 - b295 + b320 + b328 + b336 - b351 - b375 - x559 + x560
       =E= 0;

e82..    b65 - b72 - b304 - b328 + b337 + b345 + b353 - b384 + x561 - x568
       =E= 0;

e83..  - b65 + b66 - b297 - b321 + b338 + b346 + b354 - b377 - x561 + x562
       =E= 0;

e84..  - b66 + b67 - b298 - b322 + b339 + b347 + b355 - b378 - x562 + x563
       =E= 0;

e85..  - b67 + b68 - b299 - b323 + b340 + b348 + b356 - b379 - x563 + x564
       =E= 0;

e86..  - b68 + b69 - b300 - b324 + b341 + b349 + b357 - b380 - x564 + x565
       =E= 0;

e87..  - b69 + b70 - b301 - b325 + b342 + b350 + b358 - b381 - x565 + x566
       =E= 0;

e88..  - b70 + b71 - b302 - b326 + b343 + b351 + b359 - b382 - x566 + x567
       =E= 0;

e89..  - b71 + b72 - b303 - b327 + b344 + b352 + b360 - b383 - x567 + x568
       =E= 0;

e90..    b89 - b96 - b312 - b336 - b360 + b361 + b369 + b377 + x569 - x576
       =E= 0;

e91..  - b89 + b90 - b305 - b329 - b353 + b362 + b370 + b378 - x569 + x570
       =E= 0;

e92..  - b90 + b91 - b306 - b330 - b354 + b363 + b371 + b379 - x570 + x571
       =E= 0;

e93..  - b91 + b92 - b307 - b331 - b355 + b364 + b372 + b380 - x571 + x572
       =E= 0;

e94..  - b92 + b93 - b308 - b332 - b356 + b365 + b373 + b381 - x572 + x573
       =E= 0;

e95..  - b93 + b94 - b309 - b333 - b357 + b366 + b374 + b382 - x573 + x574
       =E= 0;

e96..  - b94 + b95 - b310 - b334 - b358 + b367 + b375 + b383 - x574 + x575
       =E= 0;

e97..  - b95 + b96 - b311 - b335 - b359 + b368 + b376 + b384 - x575 + x576
       =E= 0;

e98..  - x392 + x400 + x577 - x584 =E= 0;

e99..  - x385 + x393 - x577 + x578 =E= 0;

e100..  - x386 + x394 - x578 + x579 =E= 0;

e101..  - x387 + x395 - x579 + x580 =E= 0;

e102..  - x388 + x396 - x580 + x581 =E= 0;

e103..  - x389 + x397 - x581 + x582 =E= 0;

e104..  - x390 + x398 - x582 + x583 =E= 0;

e105..  - x391 + x399 - x583 + x584 =E= 0;

e106..  - x400 + x408 + x585 - x592 =E= 0;

e107..  - x393 + x401 - x585 + x586 =E= 0;

e108..  - x394 + x402 - x586 + x587 =E= 0;

e109..  - x395 + x403 - x587 + x588 =E= 0;

e110..  - x396 + x404 - x588 + x589 =E= 0;

e111..  - x397 + x405 - x589 + x590 =E= 0;

e112..  - x398 + x406 - x590 + x591 =E= 0;

e113..  - x399 + x407 - x591 + x592 =E= 0;

e114.. x673/x693*(x693 - x684) - x408 + x593 - x600 =E= 0;

e115.. x673/x693*(x678 - x677) - x401 - x593 + x594 =E= 0;

e116.. x673/x693*(x679 - x678) - x402 - x594 + x595 =E= 0;

e117.. x673/x693*(x680 - x679) - x403 - x595 + x596 =E= 0;

e118.. x673/x693*(x681 - x680) - x404 - x596 + x597 =E= 0;

e119.. x673/x693*(x682 - x681) - x405 - x597 + x598 =E= 0;

e120.. x673/x693*(x683 - x682) - x406 - x598 + x599 =E= 0;

e121.. x673/x693*(x684 - x683) - x407 - x599 + x600 =E= 0;

e122..  - x416 + x424 + x601 - x608 =E= 0;

e123..  - x409 + x417 - x601 + x602 =E= 0;

e124..  - x410 + x418 - x602 + x603 =E= 0;

e125..  - x411 + x419 - x603 + x604 =E= 0;

e126..  - x412 + x420 - x604 + x605 =E= 0;

e127..  - x413 + x421 - x605 + x606 =E= 0;

e128..  - x414 + x422 - x606 + x607 =E= 0;

e129..  - x415 + x423 - x607 + x608 =E= 0;

e130..  - x424 + x432 + x609 - x616 =E= 0;

e131..  - x417 + x425 - x609 + x610 =E= 0;

e132..  - x418 + x426 - x610 + x611 =E= 0;

e133..  - x419 + x427 - x611 + x612 =E= 0;

e134..  - x420 + x428 - x612 + x613 =E= 0;

e135..  - x421 + x429 - x613 + x614 =E= 0;

e136..  - x422 + x430 - x614 + x615 =E= 0;

e137..  - x423 + x431 - x615 + x616 =E= 0;

e138.. x674/x693*(x693 - x684) - x432 + x617 - x624 =E= 0;

e139.. x674/x693*(x678 - x677) - x425 - x617 + x618 =E= 0;

e140.. x674/x693*(x679 - x678) - x426 - x618 + x619 =E= 0;

e141.. x674/x693*(x680 - x679) - x427 - x619 + x620 =E= 0;

e142.. x674/x693*(x681 - x680) - x428 - x620 + x621 =E= 0;

e143.. x674/x693*(x682 - x681) - x429 - x621 + x622 =E= 0;

e144.. x674/x693*(x683 - x682) - x430 - x622 + x623 =E= 0;

e145.. x674/x693*(x684 - x683) - x431 - x623 + x624 =E= 0;

e146..  - x440 + x448 + x625 - x632 =E= 0;

e147..  - x433 + x441 - x625 + x626 =E= 0;

e148..  - x434 + x442 - x626 + x627 =E= 0;

e149..  - x435 + x443 - x627 + x628 =E= 0;

e150..  - x436 + x444 - x628 + x629 =E= 0;

e151..  - x437 + x445 - x629 + x630 =E= 0;

e152..  - x438 + x446 - x630 + x631 =E= 0;

e153..  - x439 + x447 - x631 + x632 =E= 0;

e154..  - x448 + x456 + x633 - x640 =E= 0;

e155..  - x441 + x449 - x633 + x634 =E= 0;

e156..  - x442 + x450 - x634 + x635 =E= 0;

e157..  - x443 + x451 - x635 + x636 =E= 0;

e158..  - x444 + x452 - x636 + x637 =E= 0;

e159..  - x445 + x453 - x637 + x638 =E= 0;

e160..  - x446 + x454 - x638 + x639 =E= 0;

e161..  - x447 + x455 - x639 + x640 =E= 0;

e162.. x675/x693*(x693 - x684) - x456 + x641 - x648 =E= 0;

e163.. x675/x693*(x678 - x677) - x449 - x641 + x642 =E= 0;

e164.. x675/x693*(x679 - x678) - x450 - x642 + x643 =E= 0;

e165.. x675/x693*(x680 - x679) - x451 - x643 + x644 =E= 0;

e166.. x675/x693*(x681 - x680) - x452 - x644 + x645 =E= 0;

e167.. x675/x693*(x682 - x681) - x453 - x645 + x646 =E= 0;

e168.. x675/x693*(x683 - x682) - x454 - x646 + x647 =E= 0;

e169.. x675/x693*(x684 - x683) - x455 - x647 + x648 =E= 0;

e170..  - x464 + x472 + x649 - x656 =E= 0;

e171..  - x457 + x465 - x649 + x650 =E= 0;

e172..  - x458 + x466 - x650 + x651 =E= 0;

e173..  - x459 + x467 - x651 + x652 =E= 0;

e174..  - x460 + x468 - x652 + x653 =E= 0;

e175..  - x461 + x469 - x653 + x654 =E= 0;

e176..  - x462 + x470 - x654 + x655 =E= 0;

e177..  - x463 + x471 - x655 + x656 =E= 0;

e178..  - x472 + x480 + x657 - x664 =E= 0;

e179..  - x465 + x473 - x657 + x658 =E= 0;

e180..  - x466 + x474 - x658 + x659 =E= 0;

e181..  - x467 + x475 - x659 + x660 =E= 0;

e182..  - x468 + x476 - x660 + x661 =E= 0;

e183..  - x469 + x477 - x661 + x662 =E= 0;

e184..  - x470 + x478 - x662 + x663 =E= 0;

e185..  - x471 + x479 - x663 + x664 =E= 0;

e186.. x676/x693*(x693 - x684) - x480 + x665 - x672 =E= 0;

e187.. x676/x693*(x678 - x677) - x473 - x665 + x666 =E= 0;

e188.. x676/x693*(x679 - x678) - x474 - x666 + x667 =E= 0;

e189.. x676/x693*(x680 - x679) - x475 - x667 + x668 =E= 0;

e190.. x676/x693*(x681 - x680) - x476 - x668 + x669 =E= 0;

e191.. x676/x693*(x682 - x681) - x477 - x669 + x670 =E= 0;

e192.. x676/x693*(x683 - x682) - x478 - x670 + x671 =E= 0;

e193.. x676/x693*(x684 - x683) - x479 - x671 + x672 =E= 0;

e194..    b1 + b25 + b49 + b73 + b97 + b105 + b113 + b121 + b129 + b137 + b145
        + b153 + b161 + b169 + b177 + b185 + x481 + x489 + x497 + x505 =E= 1;

e195..    b9 + b33 + b57 + b81 + b193 + b201 + b209 + b217 + b225 + b233 + b241
        + b249 + b257 + b265 + b273 + b281 + x513 + x521 + x529 + x537 =E= 1;

e196..    b17 + b41 + b65 + b89 + b289 + b297 + b305 + b313 + b321 + b329
        + b337 + b345 + b353 + b361 + b369 + b377 + x545 + x553 + x561 + x569
        =E= 1;

e197..  - 10*b97 - 10*b105 - 10*b113 - 10*b121 - b129 - 4*b137 - 10*b145 - b153
        - 4*b161 - 10*b169 - 4*b177 - 4*b185 - 0.000854700854700855*x385
        - 0.000746268656716418*x409 - 0.000746268656716418*x433
        - 0.000826446280991736*x457 - x677 + x678 =G= 0;

e198..  - 10*b98 - 10*b106 - 10*b114 - 10*b122 - b130 - 4*b138 - 10*b146 - b154
        - 4*b162 - 10*b170 - 4*b178 - 4*b186 - 0.000854700854700855*x386
        - 0.000746268656716418*x410 - 0.000746268656716418*x434
        - 0.000826446280991736*x458 - x678 + x679 =G= 0;

e199..  - 10*b99 - 10*b107 - 10*b115 - 10*b123 - b131 - 4*b139 - 10*b147 - b155
        - 4*b163 - 10*b171 - 4*b179 - 4*b187 - 0.000854700854700855*x387
        - 0.000746268656716418*x411 - 0.000746268656716418*x435
        - 0.000826446280991736*x459 - x679 + x680 =G= 0;

e200..  - 10*b100 - 10*b108 - 10*b116 - 10*b124 - b132 - 4*b140 - 10*b148
        - b156 - 4*b164 - 10*b172 - 4*b180 - 4*b188 - 0.000854700854700855*x388
        - 0.000746268656716418*x412 - 0.000746268656716418*x436
        - 0.000826446280991736*x460 - x680 + x681 =G= 0;

e201..  - 10*b101 - 10*b109 - 10*b117 - 10*b125 - b133 - 4*b141 - 10*b149
        - b157 - 4*b165 - 10*b173 - 4*b181 - 4*b189 - 0.000854700854700855*x389
        - 0.000746268656716418*x413 - 0.000746268656716418*x437
        - 0.000826446280991736*x461 - x681 + x682 =G= 0;

e202..  - 10*b102 - 10*b110 - 10*b118 - 10*b126 - b134 - 4*b142 - 10*b150
        - b158 - 4*b166 - 10*b174 - 4*b182 - 4*b190 - 0.000854700854700855*x390
        - 0.000746268656716418*x414 - 0.000746268656716418*x438
        - 0.000826446280991736*x462 - x682 + x683 =G= 0;

e203..  - 10*b103 - 10*b111 - 10*b119 - 10*b127 - b135 - 4*b143 - 10*b151
        - b159 - 4*b167 - 10*b175 - 4*b183 - 4*b191 - 0.000854700854700855*x391
        - 0.000746268656716418*x415 - 0.000746268656716418*x439
        - 0.000826446280991736*x463 - x683 + x684 =G= 0;

e204..  - 10*b104 - 10*b112 - 10*b120 - 10*b128 - b136 - 4*b144 - 10*b152
        - b160 - 4*b168 - 10*b176 - 4*b184 - 4*b192 - 0.000854700854700855*x392
        - 0.000746268656716418*x416 - 0.000746268656716418*x440
        - 0.000826446280991736*x464 - x684 + x693 =G= 0;

e205..  - 3*b193 - 3*b201 - 12*b209 - 3*b217 - b225 - 12*b233 - 3*b241 - b249
        - 12*b257 - 12*b265 - 12*b273 - 12*b281 - 0.000892857142857143*x393
        - 0.000775193798449612*x417 - 0.000746268656716418*x441
        - 0.000862068965517241*x465 - x677 + x678 =G= 0;

e206..  - 3*b194 - 3*b202 - 12*b210 - 3*b218 - b226 - 12*b234 - 3*b242 - b250
        - 12*b258 - 12*b266 - 12*b274 - 12*b282 - 0.000892857142857143*x394
        - 0.000775193798449612*x418 - 0.000746268656716418*x442
        - 0.000862068965517241*x466 - x678 + x679 =G= 0;

e207..  - 3*b195 - 3*b203 - 12*b211 - 3*b219 - b227 - 12*b235 - 3*b243 - b251
        - 12*b259 - 12*b267 - 12*b275 - 12*b283 - 0.000892857142857143*x395
        - 0.000775193798449612*x419 - 0.000746268656716418*x443
        - 0.000862068965517241*x467 - x679 + x680 =G= 0;

e208..  - 3*b196 - 3*b204 - 12*b212 - 3*b220 - b228 - 12*b236 - 3*b244 - b252
        - 12*b260 - 12*b268 - 12*b276 - 12*b284 - 0.000892857142857143*x396
        - 0.000775193798449612*x420 - 0.000746268656716418*x444
        - 0.000862068965517241*x468 - x680 + x681 =G= 0;

e209..  - 3*b197 - 3*b205 - 12*b213 - 3*b221 - b229 - 12*b237 - 3*b245 - b253
        - 12*b261 - 12*b269 - 12*b277 - 12*b285 - 0.000892857142857143*x397
        - 0.000775193798449612*x421 - 0.000746268656716418*x445
        - 0.000862068965517241*x469 - x681 + x682 =G= 0;

e210..  - 3*b198 - 3*b206 - 12*b214 - 3*b222 - b230 - 12*b238 - 3*b246 - b254
        - 12*b262 - 12*b270 - 12*b278 - 12*b286 - 0.000892857142857143*x398
        - 0.000775193798449612*x422 - 0.000746268656716418*x446
        - 0.000862068965517241*x470 - x682 + x683 =G= 0;

e211..  - 3*b199 - 3*b207 - 12*b215 - 3*b223 - b231 - 12*b239 - 3*b247 - b255
        - 12*b263 - 12*b271 - 12*b279 - 12*b287 - 0.000892857142857143*x399
        - 0.000775193798449612*x423 - 0.000746268656716418*x447
        - 0.000862068965517241*x471 - x683 + x684 =G= 0;

e212..  - 3*b200 - 3*b208 - 12*b216 - 3*b224 - b232 - 12*b240 - 3*b248 - b256
        - 12*b264 - 12*b272 - 12*b280 - 12*b288 - 0.000892857142857143*x400
        - 0.000775193798449612*x424 - 0.000746268656716418*x448
        - 0.000862068965517241*x472 - x684 + x693 =G= 0;

e213..  - 2*b289 - 2*b297 - 8*b305 - 2*b313 - b321 - 8*b329 - 2*b337 - b345
        - 8*b353 - 8*b361 - 8*b369 - 8*b377 - 0.000892857142857143*x401
        - 0.000537634408602151*x425 - 0.000746268656716418*x449
        - 0.000704225352112676*x473 - x677 + x678 =G= 0;

e214..  - 2*b290 - 2*b298 - 8*b306 - 2*b314 - b322 - 8*b330 - 2*b338 - b346
        - 8*b354 - 8*b362 - 8*b370 - 8*b378 - 0.000892857142857143*x402
        - 0.000537634408602151*x426 - 0.000746268656716418*x450
        - 0.000704225352112676*x474 - x678 + x679 =G= 0;

e215..  - 2*b291 - 2*b299 - 8*b307 - 2*b315 - b323 - 8*b331 - 2*b339 - b347
        - 8*b355 - 8*b363 - 8*b371 - 8*b379 - 0.000892857142857143*x403
        - 0.000537634408602151*x427 - 0.000746268656716418*x451
        - 0.000704225352112676*x475 - x679 + x680 =G= 0;

e216..  - 2*b292 - 2*b300 - 8*b308 - 2*b316 - b324 - 8*b332 - 2*b340 - b348
        - 8*b356 - 8*b364 - 8*b372 - 8*b380 - 0.000892857142857143*x404
        - 0.000537634408602151*x428 - 0.000746268656716418*x452
        - 0.000704225352112676*x476 - x680 + x681 =G= 0;

e217..  - 2*b293 - 2*b301 - 8*b309 - 2*b317 - b325 - 8*b333 - 2*b341 - b349
        - 8*b357 - 8*b365 - 8*b373 - 8*b381 - 0.000892857142857143*x405
        - 0.000537634408602151*x429 - 0.000746268656716418*x453
        - 0.000704225352112676*x477 - x681 + x682 =G= 0;

e218..  - 2*b294 - 2*b302 - 8*b310 - 2*b318 - b326 - 8*b334 - 2*b342 - b350
        - 8*b358 - 8*b366 - 8*b374 - 8*b382 - 0.000892857142857143*x406
        - 0.000537634408602151*x430 - 0.000746268656716418*x454
        - 0.000704225352112676*x478 - x682 + x683 =G= 0;

e219..  - 2*b295 - 2*b303 - 8*b311 - 2*b319 - b327 - 8*b335 - 2*b343 - b351
        - 8*b359 - 8*b367 - 8*b375 - 8*b383 - 0.000892857142857143*x407
        - 0.000537634408602151*x431 - 0.000746268656716418*x455
        - 0.000704225352112676*x479 - x683 + x684 =G= 0;

e220..  - 2*b296 - 2*b304 - 8*b312 - 2*b320 - b328 - 8*b336 - 2*b344 - b352
        - 8*b360 - 8*b368 - 8*b376 - 8*b384 - 0.000892857142857143*x408
        - 0.000537634408602151*x432 - 0.000746268656716418*x456
        - 0.000704225352112676*x480 - x684 + x693 =G= 0;

e221..  - 702000*b1 + x385 =L= 0;

e222..  - 702000*b2 + x386 =L= 0;

e223..  - 702000*b3 + x387 =L= 0;

e224..  - 702000*b4 + x388 =L= 0;

e225..  - 702000*b5 + x389 =L= 0;

e226..  - 702000*b6 + x390 =L= 0;

e227..  - 702000*b7 + x391 =L= 0;

e228..  - 702000*b8 + x392 =L= 0;

e229..  - 672000*b9 + x393 =L= 0;

e230..  - 672000*b10 + x394 =L= 0;

e231..  - 672000*b11 + x395 =L= 0;

e232..  - 672000*b12 + x396 =L= 0;

e233..  - 672000*b13 + x397 =L= 0;

e234..  - 672000*b14 + x398 =L= 0;

e235..  - 672000*b15 + x399 =L= 0;

e236..  - 672000*b16 + x400 =L= 0;

e237..  - 672000*b17 + x401 =L= 0;

e238..  - 672000*b18 + x402 =L= 0;

e239..  - 672000*b19 + x403 =L= 0;

e240..  - 672000*b20 + x404 =L= 0;

e241..  - 672000*b21 + x405 =L= 0;

e242..  - 672000*b22 + x406 =L= 0;

e243..  - 672000*b23 + x407 =L= 0;

e244..  - 672000*b24 + x408 =L= 0;

e245..  - 804000*b25 + x409 =L= 0;

e246..  - 804000*b26 + x410 =L= 0;

e247..  - 804000*b27 + x411 =L= 0;

e248..  - 804000*b28 + x412 =L= 0;

e249..  - 804000*b29 + x413 =L= 0;

e250..  - 804000*b30 + x414 =L= 0;

e251..  - 804000*b31 + x415 =L= 0;

e252..  - 804000*b32 + x416 =L= 0;

e253..  - 774000*b33 + x417 =L= 0;

e254..  - 774000*b34 + x418 =L= 0;

e255..  - 774000*b35 + x419 =L= 0;

e256..  - 774000*b36 + x420 =L= 0;

e257..  - 774000*b37 + x421 =L= 0;

e258..  - 774000*b38 + x422 =L= 0;

e259..  - 774000*b39 + x423 =L= 0;

e260..  - 774000*b40 + x424 =L= 0;

e261..  - 1116000*b41 + x425 =L= 0;

e262..  - 1116000*b42 + x426 =L= 0;

e263..  - 1116000*b43 + x427 =L= 0;

e264..  - 1116000*b44 + x428 =L= 0;

e265..  - 1116000*b45 + x429 =L= 0;

e266..  - 1116000*b46 + x430 =L= 0;

e267..  - 1116000*b47 + x431 =L= 0;

e268..  - 1116000*b48 + x432 =L= 0;

e269..  - 804000*b49 + x433 =L= 0;

e270..  - 804000*b50 + x434 =L= 0;

e271..  - 804000*b51 + x435 =L= 0;

e272..  - 804000*b52 + x436 =L= 0;

e273..  - 804000*b53 + x437 =L= 0;

e274..  - 804000*b54 + x438 =L= 0;

e275..  - 804000*b55 + x439 =L= 0;

e276..  - 804000*b56 + x440 =L= 0;

e277..  - 804000*b57 + x441 =L= 0;

e278..  - 804000*b58 + x442 =L= 0;

e279..  - 804000*b59 + x443 =L= 0;

e280..  - 804000*b60 + x444 =L= 0;

e281..  - 804000*b61 + x445 =L= 0;

e282..  - 804000*b62 + x446 =L= 0;

e283..  - 804000*b63 + x447 =L= 0;

e284..  - 804000*b64 + x448 =L= 0;

e285..  - 804000*b65 + x449 =L= 0;

e286..  - 804000*b66 + x450 =L= 0;

e287..  - 804000*b67 + x451 =L= 0;

e288..  - 804000*b68 + x452 =L= 0;

e289..  - 804000*b69 + x453 =L= 0;

e290..  - 804000*b70 + x454 =L= 0;

e291..  - 804000*b71 + x455 =L= 0;

e292..  - 804000*b72 + x456 =L= 0;

e293..  - 726000*b73 + x457 =L= 0;

e294..  - 726000*b74 + x458 =L= 0;

e295..  - 726000*b75 + x459 =L= 0;

e296..  - 726000*b76 + x460 =L= 0;

e297..  - 726000*b77 + x461 =L= 0;

e298..  - 726000*b78 + x462 =L= 0;

e299..  - 726000*b79 + x463 =L= 0;

e300..  - 726000*b80 + x464 =L= 0;

e301..  - 696000*b81 + x465 =L= 0;

e302..  - 696000*b82 + x466 =L= 0;

e303..  - 696000*b83 + x467 =L= 0;

e304..  - 696000*b84 + x468 =L= 0;

e305..  - 696000*b85 + x469 =L= 0;

e306..  - 696000*b86 + x470 =L= 0;

e307..  - 696000*b87 + x471 =L= 0;

e308..  - 696000*b88 + x472 =L= 0;

e309..  - 852000*b89 + x473 =L= 0;

e310..  - 852000*b90 + x474 =L= 0;

e311..  - 852000*b91 + x475 =L= 0;

e312..  - 852000*b92 + x476 =L= 0;

e313..  - 852000*b93 + x477 =L= 0;

e314..  - 852000*b94 + x478 =L= 0;

e315..  - 852000*b95 + x479 =L= 0;

e316..  - 852000*b96 + x480 =L= 0;

e317..    x673 - 150*x693 =G= 0;

e318..    x674 - 250*x693 =G= 0;

e319..    x675 - 500*x693 =G= 0;

e320..    x676 - 50*x693 =G= 0;

e321..    x577 - x685 =L= 0;

e322..    x578 - x685 =L= 0;

e323..    x579 - x685 =L= 0;

e324..    x580 - x685 =L= 0;

e325..    x581 - x685 =L= 0;

e326..    x582 - x685 =L= 0;

e327..    x583 - x685 =L= 0;

e328..    x584 - x685 =L= 0;

e329..    x585 - x686 =L= 0;

e330..    x586 - x686 =L= 0;

e331..    x587 - x686 =L= 0;

e332..    x588 - x686 =L= 0;

e333..    x589 - x686 =L= 0;

e334..    x590 - x686 =L= 0;

e335..    x591 - x686 =L= 0;

e336..    x592 - x686 =L= 0;

e337..    x601 - x687 =L= 0;

e338..    x602 - x687 =L= 0;

e339..    x603 - x687 =L= 0;

e340..    x604 - x687 =L= 0;

e341..    x605 - x687 =L= 0;

e342..    x606 - x687 =L= 0;

e343..    x607 - x687 =L= 0;

e344..    x608 - x687 =L= 0;

e345..    x609 - x688 =L= 0;

e346..    x610 - x688 =L= 0;

e347..    x611 - x688 =L= 0;

e348..    x612 - x688 =L= 0;

e349..    x613 - x688 =L= 0;

e350..    x614 - x688 =L= 0;

e351..    x615 - x688 =L= 0;

e352..    x616 - x688 =L= 0;

e353..    x625 - x689 =L= 0;

e354..    x626 - x689 =L= 0;

e355..    x627 - x689 =L= 0;

e356..    x628 - x689 =L= 0;

e357..    x629 - x689 =L= 0;

e358..    x630 - x689 =L= 0;

e359..    x631 - x689 =L= 0;

e360..    x632 - x689 =L= 0;

e361..    x633 - x690 =L= 0;

e362..    x634 - x690 =L= 0;

e363..    x635 - x690 =L= 0;

e364..    x636 - x690 =L= 0;

e365..    x637 - x690 =L= 0;

e366..    x638 - x690 =L= 0;

e367..    x639 - x690 =L= 0;

e368..    x640 - x690 =L= 0;

e369..    x649 - x691 =L= 0;

e370..    x650 - x691 =L= 0;

e371..    x651 - x691 =L= 0;

e372..    x652 - x691 =L= 0;

e373..    x653 - x691 =L= 0;

e374..    x654 - x691 =L= 0;

e375..    x655 - x691 =L= 0;

e376..    x656 - x691 =L= 0;

e377..    x657 - x692 =L= 0;

e378..    x658 - x692 =L= 0;

e379..    x659 - x692 =L= 0;

e380..    x660 - x692 =L= 0;

e381..    x661 - x692 =L= 0;

e382..    x662 - x692 =L= 0;

e383..    x663 - x692 =L= 0;

e384..    x664 - x692 =L= 0;

e385..    b97 + b98 + b99 + b100 + b101 + b102 + b103 + b104 + b105 + b106
        + b107 + b108 + b109 + b110 + b111 + b112 + b113 + b114 + b115 + b116
        + b117 + b118 + b119 + b120 + b121 + b122 + b123 + b124 + b125 + b126
        + b127 + b128 + b129 + b130 + b131 + b132 + b133 + b134 + b135 + b136
        + b137 + b138 + b139 + b140 + b141 + b142 + b143 + b144 + b145 + b146
        + b147 + b148 + b149 + b150 + b151 + b152 + b153 + b154 + b155 + b156
        + b157 + b158 + b159 + b160 + b161 + b162 + b163 + b164 + b165 + b166
        + b167 + b168 + b169 + b170 + b171 + b172 + b173 + b174 + b175 + b176
        + b177 + b178 + b179 + b180 + b181 + b182 + b183 + b184 + b185 + b186
        + b187 + b188 + b189 + b190 + b191 + b192 =L= 4;

e386..    b193 + b194 + b195 + b196 + b197 + b198 + b199 + b200 + b201 + b202
        + b203 + b204 + b205 + b206 + b207 + b208 + b209 + b210 + b211 + b212
        + b213 + b214 + b215 + b216 + b217 + b218 + b219 + b220 + b221 + b222
        + b223 + b224 + b225 + b226 + b227 + b228 + b229 + b230 + b231 + b232
        + b233 + b234 + b235 + b236 + b237 + b238 + b239 + b240 + b241 + b242
        + b243 + b244 + b245 + b246 + b247 + b248 + b249 + b250 + b251 + b252
        + b253 + b254 + b255 + b256 + b257 + b258 + b259 + b260 + b261 + b262
        + b263 + b264 + b265 + b266 + b267 + b268 + b269 + b270 + b271 + b272
        + b273 + b274 + b275 + b276 + b277 + b278 + b279 + b280 + b281 + b282
        + b283 + b284 + b285 + b286 + b287 + b288 =L= 4;

e387..    b289 + b290 + b291 + b292 + b293 + b294 + b295 + b296 + b297 + b298
        + b299 + b300 + b301 + b302 + b303 + b304 + b305 + b306 + b307 + b308
        + b309 + b310 + b311 + b312 + b313 + b314 + b315 + b316 + b317 + b318
        + b319 + b320 + b321 + b322 + b323 + b324 + b325 + b326 + b327 + b328
        + b329 + b330 + b331 + b332 + b333 + b334 + b335 + b336 + b337 + b338
        + b339 + b340 + b341 + b342 + b343 + b344 + b345 + b346 + b347 + b348
        + b349 + b350 + b351 + b352 + b353 + b354 + b355 + b356 + b357 + b358
        + b359 + b360 + b361 + b362 + b363 + b364 + b365 + b366 + b367 + b368
        + b369 + b370 + b371 + b372 + b373 + b374 + b375 + b376 + b377 + b378
        + b379 + b380 + b381 + b382 + b383 + b384 =L= 4;

e388..    b1 =E= 1;

* set non-default bounds
x385.up = 702000;
x386.up = 702000;
x387.up = 702000;
x388.up = 702000;
x389.up = 702000;
x390.up = 702000;
x391.up = 702000;
x392.up = 702000;
x393.up = 672000;
x394.up = 672000;
x395.up = 672000;
x396.up = 672000;
x397.up = 672000;
x398.up = 672000;
x399.up = 672000;
x400.up = 672000;
x401.up = 672000;
x402.up = 672000;
x403.up = 672000;
x404.up = 672000;
x405.up = 672000;
x406.up = 672000;
x407.up = 672000;
x408.up = 672000;
x409.up = 804000;
x410.up = 804000;
x411.up = 804000;
x412.up = 804000;
x413.up = 804000;
x414.up = 804000;
x415.up = 804000;
x416.up = 804000;
x417.up = 774000;
x418.up = 774000;
x419.up = 774000;
x420.up = 774000;
x421.up = 774000;
x422.up = 774000;
x423.up = 774000;
x424.up = 774000;
x425.up = 1116000;
x426.up = 1116000;
x427.up = 1116000;
x428.up = 1116000;
x429.up = 1116000;
x430.up = 1116000;
x431.up = 1116000;
x432.up = 1116000;
x433.up = 804000;
x434.up = 804000;
x435.up = 804000;
x436.up = 804000;
x437.up = 804000;
x438.up = 804000;
x439.up = 804000;
x440.up = 804000;
x441.up = 804000;
x442.up = 804000;
x443.up = 804000;
x444.up = 804000;
x445.up = 804000;
x446.up = 804000;
x447.up = 804000;
x448.up = 804000;
x449.up = 804000;
x450.up = 804000;
x451.up = 804000;
x452.up = 804000;
x453.up = 804000;
x454.up = 804000;
x455.up = 804000;
x456.up = 804000;
x457.up = 726000;
x458.up = 726000;
x459.up = 726000;
x460.up = 726000;
x461.up = 726000;
x462.up = 726000;
x463.up = 726000;
x464.up = 726000;
x465.up = 696000;
x466.up = 696000;
x467.up = 696000;
x468.up = 696000;
x469.up = 696000;
x470.up = 696000;
x471.up = 696000;
x472.up = 696000;
x473.up = 852000;
x474.up = 852000;
x475.up = 852000;
x476.up = 852000;
x477.up = 852000;
x478.up = 852000;
x479.up = 852000;
x480.up = 852000;
x481.fx = 0;
x482.fx = 0;
x483.fx = 0;
x484.fx = 0;
x485.fx = 0;
x486.fx = 0;
x487.fx = 0;
x488.fx = 0;
x489.fx = 0;
x490.fx = 0;
x491.fx = 0;
x492.fx = 0;
x493.fx = 0;
x494.fx = 0;
x495.fx = 0;
x496.fx = 0;
x497.fx = 0;
x498.fx = 0;
x499.fx = 0;
x500.fx = 0;
x501.fx = 0;
x502.fx = 0;
x503.fx = 0;
x504.fx = 0;
x505.fx = 0;
x506.fx = 0;
x507.fx = 0;
x508.fx = 0;
x509.fx = 0;
x510.fx = 0;
x511.fx = 0;
x512.fx = 0;
x513.fx = 0;
x514.fx = 0;
x515.fx = 0;
x516.fx = 0;
x517.fx = 0;
x518.fx = 0;
x519.fx = 0;
x520.fx = 0;
x521.fx = 0;
x522.fx = 0;
x523.fx = 0;
x524.fx = 0;
x525.fx = 0;
x526.fx = 0;
x527.fx = 0;
x528.fx = 0;
x529.fx = 0;
x530.fx = 0;
x531.fx = 0;
x532.fx = 0;
x533.fx = 0;
x534.fx = 0;
x535.fx = 0;
x536.fx = 0;
x537.fx = 0;
x538.fx = 0;
x539.fx = 0;
x540.fx = 0;
x541.fx = 0;
x542.fx = 0;
x543.fx = 0;
x544.fx = 0;
x545.fx = 0;
x546.fx = 0;
x547.fx = 0;
x548.fx = 0;
x549.fx = 0;
x550.fx = 0;
x551.fx = 0;
x552.fx = 0;
x553.fx = 0;
x554.fx = 0;
x555.fx = 0;
x556.fx = 0;
x557.fx = 0;
x558.fx = 0;
x559.fx = 0;
x560.fx = 0;
x561.fx = 0;
x562.fx = 0;
x563.fx = 0;
x564.fx = 0;
x565.fx = 0;
x566.fx = 0;
x567.fx = 0;
x568.fx = 0;
x569.fx = 0;
x570.fx = 0;
x571.fx = 0;
x572.fx = 0;
x573.fx = 0;
x574.fx = 0;
x575.fx = 0;
x576.fx = 0;
x577.up = 702000;
x578.up = 702000;
x579.up = 702000;
x580.up = 702000;
x581.up = 702000;
x582.up = 702000;
x583.up = 702000;
x584.up = 702000;
x585.up = 672000;
x586.up = 672000;
x587.up = 672000;
x588.up = 672000;
x589.up = 672000;
x590.up = 672000;
x591.up = 672000;
x592.up = 672000;
x593.up = 672000;
x594.up = 672000;
x595.up = 672000;
x596.up = 672000;
x597.up = 672000;
x598.up = 672000;
x599.up = 672000;
x600.up = 672000;
x601.up = 804000;
x602.up = 804000;
x603.up = 804000;
x604.up = 804000;
x605.up = 804000;
x606.up = 804000;
x607.up = 804000;
x608.up = 804000;
x609.up = 774000;
x610.up = 774000;
x611.up = 774000;
x612.up = 774000;
x613.up = 774000;
x614.up = 774000;
x615.up = 774000;
x616.up = 774000;
x617.up = 1116000;
x618.up = 1116000;
x619.up = 1116000;
x620.up = 1116000;
x621.up = 1116000;
x622.up = 1116000;
x623.up = 1116000;
x624.up = 1116000;
x625.up = 804000;
x626.up = 804000;
x627.up = 804000;
x628.up = 804000;
x629.up = 804000;
x630.up = 804000;
x631.up = 804000;
x632.up = 804000;
x633.up = 804000;
x634.up = 804000;
x635.up = 804000;
x636.up = 804000;
x637.up = 804000;
x638.up = 804000;
x639.up = 804000;
x640.up = 804000;
x641.up = 804000;
x642.up = 804000;
x643.up = 804000;
x644.up = 804000;
x645.up = 804000;
x646.up = 804000;
x647.up = 804000;
x648.up = 804000;
x649.up = 726000;
x650.up = 726000;
x651.up = 726000;
x652.up = 726000;
x653.up = 726000;
x654.up = 726000;
x655.up = 726000;
x656.up = 726000;
x657.up = 696000;
x658.up = 696000;
x659.up = 696000;
x660.up = 696000;
x661.up = 696000;
x662.up = 696000;
x663.up = 696000;
x664.up = 696000;
x665.up = 852000;
x666.up = 852000;
x667.up = 852000;
x668.up = 852000;
x669.up = 852000;
x670.up = 852000;
x671.up = 852000;
x672.up = 852000;
x673.up = 702000;
x674.up = 1116000;
x675.up = 804000;
x676.up = 852000;
x677.fx = 0;
x678.up = 600;
x679.up = 600;
x680.up = 600;
x681.up = 600;
x682.up = 600;
x683.up = 600;
x684.up = 600;
x685.up = 702000;
x686.up = 672000;
x687.up = 804000;
x688.up = 774000;
x689.up = 804000;
x690.up = 804000;
x691.up = 726000;
x692.up = 696000;
x693.lo = 200; x693.up = 600;

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% maximizing objvar;


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