MINLPLib

A Library of Mixed-Integer and Continuous Nonlinear Programming Instances

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Instance: pooling_foulds5pq

PQ formulation of pooling problem. Explicitly added RLT constraints were removed from the original formulation of Alfaki and Haugland.
Formats ams gms lp mod osil pip
Primal Bounds (infeas ≤ 1e-08)
-8.00000000 p1 ( gdx sol )
(infeas: 2e-12)
Other points (infeas > 1e-08)  
Dual Bounds
-8.00000001 (ANTIGONE)
-8.00000000 (BARON)
-8.00000000 (COUENNE)
-8.00000000 (LINDO)
-8.00000100 (SCIP)
References Foulds, L. R., Haugland, D., and Jörnsten, K., A bilinear approach to the pooling problem, Optimization, 24:1-2, 1992, 165-180.
Alfaki, Mohammed and Haugland, Dag, Strong formulations for the pooling problem, Journal of Global Optimization, 56:3, 2013, 897-916.
Source Foulds5.gms from Standard Pooling Problem Instances
Application Pooling problem
Added to library 12 Sep 2017
Problem type QCP
#Variables 608
#Binary Variables 0
#Integer Variables 0
#Nonlinear Variables 96
#Nonlinear Binary Variables 0
#Nonlinear Integer Variables 0
Objective Sense min
Objective type linear
Objective curvature linear
#Nonzeros in Objective 488
#Nonlinear Nonzeros in Objective 0
#Constraints 563
#Linear Constraints 51
#Quadratic Constraints 512
#Polynomial Constraints 0
#Signomial Constraints 0
#General Nonlinear Constraints 0
Operands in Gen. Nonlin. Functions  
Constraints curvature indefinite
#Nonzeros in Jacobian 3591
#Nonlinear Nonzeros in Jacobian 1024
#Nonzeros in (Upper-Left) Hessian of Lagrangian 1024
#Nonzeros in Diagonal of Hessian of Lagrangian 0
#Blocks in Hessian of Lagrangian 4
Minimal blocksize in Hessian of Lagrangian 24
Maximal blocksize in Hessian of Lagrangian 24
Average blocksize in Hessian of Lagrangian 24.0
#Semicontinuities 0
#Nonlinear Semicontinuities 0
#SOS type 1 0
#SOS type 2 0
Infeasibility of initial point 1
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
*        564      517        0       47        0        0        0        0
*  
*  Variable counts
*                   x        b        i      s1s      s2s       sc       si
*      Total     cont   binary  integer     sos1     sos2    scont     sint
*        609      609        0        0        0        0        0        0
*  FX      0
*  
*  Nonzero counts
*      Total    const       NL      DLL
*       4080     3056     1024        0
*
*  Solve m using NLP minimizing objvar;


Variables  objvar,x2,x3,x4,x5,x6,x7,x8,x9,x10,x11,x12,x13,x14,x15,x16,x17,x18
          ,x19,x20,x21,x22,x23,x24,x25,x26,x27,x28,x29,x30,x31,x32,x33,x34,x35
          ,x36,x37,x38,x39,x40,x41,x42,x43,x44,x45,x46,x47,x48,x49,x50,x51,x52
          ,x53,x54,x55,x56,x57,x58,x59,x60,x61,x62,x63,x64,x65,x66,x67,x68,x69
          ,x70,x71,x72,x73,x74,x75,x76,x77,x78,x79,x80,x81,x82,x83,x84,x85,x86
          ,x87,x88,x89,x90,x91,x92,x93,x94,x95,x96,x97,x98,x99,x100,x101,x102
          ,x103,x104,x105,x106,x107,x108,x109,x110,x111,x112,x113,x114,x115
          ,x116,x117,x118,x119,x120,x121,x122,x123,x124,x125,x126,x127,x128
          ,x129,x130,x131,x132,x133,x134,x135,x136,x137,x138,x139,x140,x141
          ,x142,x143,x144,x145,x146,x147,x148,x149,x150,x151,x152,x153,x154
          ,x155,x156,x157,x158,x159,x160,x161,x162,x163,x164,x165,x166,x167
          ,x168,x169,x170,x171,x172,x173,x174,x175,x176,x177,x178,x179,x180
          ,x181,x182,x183,x184,x185,x186,x187,x188,x189,x190,x191,x192,x193
          ,x194,x195,x196,x197,x198,x199,x200,x201,x202,x203,x204,x205,x206
          ,x207,x208,x209,x210,x211,x212,x213,x214,x215,x216,x217,x218,x219
          ,x220,x221,x222,x223,x224,x225,x226,x227,x228,x229,x230,x231,x232
          ,x233,x234,x235,x236,x237,x238,x239,x240,x241,x242,x243,x244,x245
          ,x246,x247,x248,x249,x250,x251,x252,x253,x254,x255,x256,x257,x258
          ,x259,x260,x261,x262,x263,x264,x265,x266,x267,x268,x269,x270,x271
          ,x272,x273,x274,x275,x276,x277,x278,x279,x280,x281,x282,x283,x284
          ,x285,x286,x287,x288,x289,x290,x291,x292,x293,x294,x295,x296,x297
          ,x298,x299,x300,x301,x302,x303,x304,x305,x306,x307,x308,x309,x310
          ,x311,x312,x313,x314,x315,x316,x317,x318,x319,x320,x321,x322,x323
          ,x324,x325,x326,x327,x328,x329,x330,x331,x332,x333,x334,x335,x336
          ,x337,x338,x339,x340,x341,x342,x343,x344,x345,x346,x347,x348,x349
          ,x350,x351,x352,x353,x354,x355,x356,x357,x358,x359,x360,x361,x362
          ,x363,x364,x365,x366,x367,x368,x369,x370,x371,x372,x373,x374,x375
          ,x376,x377,x378,x379,x380,x381,x382,x383,x384,x385,x386,x387,x388
          ,x389,x390,x391,x392,x393,x394,x395,x396,x397,x398,x399,x400,x401
          ,x402,x403,x404,x405,x406,x407,x408,x409,x410,x411,x412,x413,x414
          ,x415,x416,x417,x418,x419,x420,x421,x422,x423,x424,x425,x426,x427
          ,x428,x429,x430,x431,x432,x433,x434,x435,x436,x437,x438,x439,x440
          ,x441,x442,x443,x444,x445,x446,x447,x448,x449,x450,x451,x452,x453
          ,x454,x455,x456,x457,x458,x459,x460,x461,x462,x463,x464,x465,x466
          ,x467,x468,x469,x470,x471,x472,x473,x474,x475,x476,x477,x478,x479
          ,x480,x481,x482,x483,x484,x485,x486,x487,x488,x489,x490,x491,x492
          ,x493,x494,x495,x496,x497,x498,x499,x500,x501,x502,x503,x504,x505
          ,x506,x507,x508,x509,x510,x511,x512,x513,x514,x515,x516,x517,x518
          ,x519,x520,x521,x522,x523,x524,x525,x526,x527,x528,x529,x530,x531
          ,x532,x533,x534,x535,x536,x537,x538,x539,x540,x541,x542,x543,x544
          ,x545,x546,x547,x548,x549,x550,x551,x552,x553,x554,x555,x556,x557
          ,x558,x559,x560,x561,x562,x563,x564,x565,x566,x567,x568,x569,x570
          ,x571,x572,x573,x574,x575,x576,x577,x578,x579,x580,x581,x582,x583
          ,x584,x585,x586,x587,x588,x589,x590,x591,x592,x593,x594,x595,x596
          ,x597,x598,x599,x600,x601,x602,x603,x604,x605,x606,x607,x608,x609;

Positive Variables  x2,x3,x4,x5,x6,x7,x8,x9,x10,x11,x12,x13,x14,x15,x16,x17
          ,x18,x19,x20,x21,x22,x23,x24,x25,x26,x27,x28,x29,x30,x31,x32,x33,x34
          ,x35,x36,x37,x38,x39,x40,x41,x42,x43,x44,x45,x46,x47,x48,x49,x50,x51
          ,x52,x53,x54,x55,x56,x57,x58,x59,x60,x61,x62,x63,x64,x65,x66,x67,x68
          ,x69,x70,x71,x72,x73,x74,x75,x76,x77,x78,x79,x80,x81,x82,x83,x84,x85
          ,x86,x87,x88,x89,x90,x91,x92,x93,x94,x95,x96,x97,x98,x99,x100,x101
          ,x102,x103,x104,x105,x106,x107,x108,x109,x110,x111,x112,x113,x114
          ,x115,x116,x117,x118,x119,x120,x121,x122,x123,x124,x125,x126,x127
          ,x128,x129,x130,x131,x132,x133,x134,x135,x136,x137,x138,x139,x140
          ,x141,x142,x143,x144,x145,x146,x147,x148,x149,x150,x151,x152,x153
          ,x154,x155,x156,x157,x158,x159,x160,x161,x162,x163,x164,x165,x166
          ,x167,x168,x169,x170,x171,x172,x173,x174,x175,x176,x177,x178,x179
          ,x180,x181,x182,x183,x184,x185,x186,x187,x188,x189,x190,x191,x192
          ,x193,x194,x195,x196,x197,x198,x199,x200,x201,x202,x203,x204,x205
          ,x206,x207,x208,x209,x210,x211,x212,x213,x214,x215,x216,x217,x218
          ,x219,x220,x221,x222,x223,x224,x225,x226,x227,x228,x229,x230,x231
          ,x232,x233,x234,x235,x236,x237,x238,x239,x240,x241,x242,x243,x244
          ,x245,x246,x247,x248,x249,x250,x251,x252,x253,x254,x255,x256,x257
          ,x258,x259,x260,x261,x262,x263,x264,x265,x266,x267,x268,x269,x270
          ,x271,x272,x273,x274,x275,x276,x277,x278,x279,x280,x281,x282,x283
          ,x284,x285,x286,x287,x288,x289,x290,x291,x292,x293,x294,x295,x296
          ,x297,x298,x299,x300,x301,x302,x303,x304,x305,x306,x307,x308,x309
          ,x310,x311,x312,x313,x314,x315,x316,x317,x318,x319,x320,x321,x322
          ,x323,x324,x325,x326,x327,x328,x329,x330,x331,x332,x333,x334,x335
          ,x336,x337,x338,x339,x340,x341,x342,x343,x344,x345,x346,x347,x348
          ,x349,x350,x351,x352,x353,x354,x355,x356,x357,x358,x359,x360,x361
          ,x362,x363,x364,x365,x366,x367,x368,x369,x370,x371,x372,x373,x374
          ,x375,x376,x377,x378,x379,x380,x381,x382,x383,x384,x385,x386,x387
          ,x388,x389,x390,x391,x392,x393,x394,x395,x396,x397,x398,x399,x400
          ,x401,x402,x403,x404,x405,x406,x407,x408,x409,x410,x411,x412,x413
          ,x414,x415,x416,x417,x418,x419,x420,x421,x422,x423,x424,x425,x426
          ,x427,x428,x429,x430,x431,x432,x433,x434,x435,x436,x437,x438,x439
          ,x440,x441,x442,x443,x444,x445,x446,x447,x448,x449,x450,x451,x452
          ,x453,x454,x455,x456,x457,x458,x459,x460,x461,x462,x463,x464,x465
          ,x466,x467,x468,x469,x470,x471,x472,x473,x474,x475,x476,x477,x478
          ,x479,x480,x481,x482,x483,x484,x485,x486,x487,x488,x489,x490,x491
          ,x492,x493,x494,x495,x496,x497,x498,x499,x500,x501,x502,x503,x504
          ,x505,x506,x507,x508,x509,x510,x511,x512,x513,x514,x515,x516,x517
          ,x518,x519,x520,x521,x522,x523,x524,x525,x526,x527,x528,x529,x530
          ,x531,x532,x533,x534,x535,x536,x537,x538,x539,x540,x541,x542,x543
          ,x544,x545,x546,x547,x548,x549,x550,x551,x552,x553,x554,x555,x556
          ,x557,x558,x559,x560,x561,x562,x563,x564,x565,x566,x567,x568,x569
          ,x570,x571,x572,x573,x574,x575,x576,x577,x578,x579,x580,x581,x582
          ,x583,x584,x585,x586,x587,x588,x589,x590,x591,x592,x593,x594,x595
          ,x596,x597,x598,x599,x600,x601,x602,x603,x604,x605,x606,x607,x608
          ,x609;

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,e409,e410,e411,e412,e413,e414,e415
          ,e416,e417,e418,e419,e420,e421,e422,e423,e424,e425,e426,e427,e428
          ,e429,e430,e431,e432,e433,e434,e435,e436,e437,e438,e439,e440,e441
          ,e442,e443,e444,e445,e446,e447,e448,e449,e450,e451,e452,e453,e454
          ,e455,e456,e457,e458,e459,e460,e461,e462,e463,e464,e465,e466,e467
          ,e468,e469,e470,e471,e472,e473,e474,e475,e476,e477,e478,e479,e480
          ,e481,e482,e483,e484,e485,e486,e487,e488,e489,e490,e491,e492,e493
          ,e494,e495,e496,e497,e498,e499,e500,e501,e502,e503,e504,e505,e506
          ,e507,e508,e509,e510,e511,e512,e513,e514,e515,e516,e517,e518,e519
          ,e520,e521,e522,e523,e524,e525,e526,e527,e528,e529,e530,e531,e532
          ,e533,e534,e535,e536,e537,e538,e539,e540,e541,e542,e543,e544,e545
          ,e546,e547,e548,e549,e550,e551,e552,e553,e554,e555,e556,e557,e558
          ,e559,e560,e561,e562,e563,e564;


e1..    objvar + 10*x98 + 9.5*x99 + 9*x100 + 8.5*x101 + 8*x102 + 7.5*x103
      + 7*x104 + 6.5*x105 + 6*x106 + 5.5*x107 + 5*x108 + 4.5*x109 + 4*x110
      + 3.5*x111 + 3*x112 + 2.5*x113 + 10*x114 + 9.5*x115 + 9*x116 + 8.5*x117
      + 8*x118 + 7.5*x119 + 7*x120 + 6.5*x121 + 6*x122 + 5.5*x123 + 5*x124
      + 4.5*x125 + 4*x126 + 3.5*x127 + 3*x128 + 2.5*x129 + 9*x130 + 8.5*x131
      + 8*x132 + 7.5*x133 + 7*x134 + 6.5*x135 + 6*x136 + 5.5*x137 + 5*x138
      + 4.5*x139 + 4*x140 + 3.5*x141 + 3*x142 + 2.5*x143 + 2*x144 + 1.5*x145
      + 9*x146 + 8.5*x147 + 8*x148 + 7.5*x149 + 7*x150 + 6.5*x151 + 6*x152
      + 5.5*x153 + 5*x154 + 4.5*x155 + 4*x156 + 3.5*x157 + 3*x158 + 2.5*x159
      + 2*x160 + 1.5*x161 + 9*x162 + 8.5*x163 + 8*x164 + 7.5*x165 + 7*x166
      + 6.5*x167 + 6*x168 + 5.5*x169 + 5*x170 + 4.5*x171 + 4*x172 + 3.5*x173
      + 3*x174 + 2.5*x175 + 2*x176 + 1.5*x177 + 8*x178 + 7.5*x179 + 7*x180
      + 6.5*x181 + 6*x182 + 5.5*x183 + 5*x184 + 4.5*x185 + 4*x186 + 3.5*x187
      + 3*x188 + 2.5*x189 + 2*x190 + 1.5*x191 + x192 + 0.5*x193 + 8*x194
      + 7.5*x195 + 7*x196 + 6.5*x197 + 6*x198 + 5.5*x199 + 5*x200 + 4.5*x201
      + 4*x202 + 3.5*x203 + 3*x204 + 2.5*x205 + 2*x206 + 1.5*x207 + x208
      + 0.5*x209 + 8*x210 + 7.5*x211 + 7*x212 + 6.5*x213 + 6*x214 + 5.5*x215
      + 5*x216 + 4.5*x217 + 4*x218 + 3.5*x219 + 3*x220 + 2.5*x221 + 2*x222
      + 1.5*x223 + x224 + 0.5*x225 + 7*x226 + 6.5*x227 + 6*x228 + 5.5*x229
      + 5*x230 + 4.5*x231 + 4*x232 + 3.5*x233 + 3*x234 + 2.5*x235 + 2*x236
      + 1.5*x237 + x238 + 0.5*x239 - 0.5*x241 + 7*x242 + 6.5*x243 + 6*x244
      + 5.5*x245 + 5*x246 + 4.5*x247 + 4*x248 + 3.5*x249 + 3*x250 + 2.5*x251
      + 2*x252 + 1.5*x253 + x254 + 0.5*x255 - 0.5*x257 + 7*x258 + 6.5*x259
      + 6*x260 + 5.5*x261 + 5*x262 + 4.5*x263 + 4*x264 + 3.5*x265 + 3*x266
      + 2.5*x267 + 2*x268 + 1.5*x269 + x270 + 0.5*x271 - 0.5*x273 + 7*x274
      + 6.5*x275 + 6*x276 + 5.5*x277 + 5*x278 + 4.5*x279 + 4*x280 + 3.5*x281
      + 3*x282 + 2.5*x283 + 2*x284 + 1.5*x285 + x286 + 0.5*x287 - 0.5*x289
      + 6*x290 + 5.5*x291 + 5*x292 + 4.5*x293 + 4*x294 + 3.5*x295 + 3*x296
      + 2.5*x297 + 2*x298 + 1.5*x299 + x300 + 0.5*x301 - 0.5*x303 - x304
      - 1.5*x305 + 6*x306 + 5.5*x307 + 5*x308 + 4.5*x309 + 4*x310 + 3.5*x311
      + 3*x312 + 2.5*x313 + 2*x314 + 1.5*x315 + x316 + 0.5*x317 - 0.5*x319
      - x320 - 1.5*x321 + 6*x322 + 5.5*x323 + 5*x324 + 4.5*x325 + 4*x326
      + 3.5*x327 + 3*x328 + 2.5*x329 + 2*x330 + 1.5*x331 + x332 + 0.5*x333
      - 0.5*x335 - x336 - 1.5*x337 + 5*x338 + 4.5*x339 + 4*x340 + 3.5*x341
      + 3*x342 + 2.5*x343 + 2*x344 + 1.5*x345 + x346 + 0.5*x347 - 0.5*x349
      - x350 - 1.5*x351 - 2*x352 - 2.5*x353 + 5*x354 + 4.5*x355 + 4*x356
      + 3.5*x357 + 3*x358 + 2.5*x359 + 2*x360 + 1.5*x361 + x362 + 0.5*x363
      - 0.5*x365 - x366 - 1.5*x367 - 2*x368 - 2.5*x369 + 4*x370 + 3.5*x371
      + 3*x372 + 2.5*x373 + 2*x374 + 1.5*x375 + x376 + 0.5*x377 - 0.5*x379
      - x380 - 1.5*x381 - 2*x382 - 2.5*x383 - 3*x384 - 3.5*x385 + 4*x386
      + 3.5*x387 + 3*x388 + 2.5*x389 + 2*x390 + 1.5*x391 + x392 + 0.5*x393
      - 0.5*x395 - x396 - 1.5*x397 - 2*x398 - 2.5*x399 - 3*x400 - 3.5*x401
      + 4*x402 + 3.5*x403 + 3*x404 + 2.5*x405 + 2*x406 + 1.5*x407 + x408
      + 0.5*x409 - 0.5*x411 - x412 - 1.5*x413 - 2*x414 - 2.5*x415 - 3*x416
      - 3.5*x417 + 3*x418 + 2.5*x419 + 2*x420 + 1.5*x421 + x422 + 0.5*x423
      - 0.5*x425 - x426 - 1.5*x427 - 2*x428 - 2.5*x429 - 3*x430 - 3.5*x431
      - 4*x432 - 4.5*x433 + 3*x434 + 2.5*x435 + 2*x436 + 1.5*x437 + x438
      + 0.5*x439 - 0.5*x441 - x442 - 1.5*x443 - 2*x444 - 2.5*x445 - 3*x446
      - 3.5*x447 - 4*x448 - 4.5*x449 + 3*x450 + 2.5*x451 + 2*x452 + 1.5*x453
      + x454 + 0.5*x455 - 0.5*x457 - x458 - 1.5*x459 - 2*x460 - 2.5*x461
      - 3*x462 - 3.5*x463 - 4*x464 - 4.5*x465 + 3*x466 + 2.5*x467 + 2*x468
      + 1.5*x469 + x470 + 0.5*x471 - 0.5*x473 - x474 - 1.5*x475 - 2*x476
      - 2.5*x477 - 3*x478 - 3.5*x479 - 4*x480 - 4.5*x481 + 2*x482 + 1.5*x483
      + x484 + 0.5*x485 - 0.5*x487 - x488 - 1.5*x489 - 2*x490 - 2.5*x491
      - 3*x492 - 3.5*x493 - 4*x494 - 4.5*x495 - 5*x496 - 5.5*x497 + 2*x498
      + 1.5*x499 + x500 + 0.5*x501 - 0.5*x503 - x504 - 1.5*x505 - 2*x506
      - 2.5*x507 - 3*x508 - 3.5*x509 - 4*x510 - 4.5*x511 - 5*x512 - 5.5*x513
      + 2*x514 + 1.5*x515 + x516 + 0.5*x517 - 0.5*x519 - x520 - 1.5*x521
      - 2*x522 - 2.5*x523 - 3*x524 - 3.5*x525 - 4*x526 - 4.5*x527 - 5*x528
      - 5.5*x529 + x530 + 0.5*x531 - 0.5*x533 - x534 - 1.5*x535 - 2*x536
      - 2.5*x537 - 3*x538 - 3.5*x539 - 4*x540 - 4.5*x541 - 5*x542 - 5.5*x543
      - 6*x544 - 6.5*x545 + x546 + 0.5*x547 - 0.5*x549 - x550 - 1.5*x551
      - 2*x552 - 2.5*x553 - 3*x554 - 3.5*x555 - 4*x556 - 4.5*x557 - 5*x558
      - 5.5*x559 - 6*x560 - 6.5*x561 + x562 + 0.5*x563 - 0.5*x565 - x566
      - 1.5*x567 - 2*x568 - 2.5*x569 - 3*x570 - 3.5*x571 - 4*x572 - 4.5*x573
      - 5*x574 - 5.5*x575 - 6*x576 - 6.5*x577 - 0.5*x579 - x580 - 1.5*x581
      - 2*x582 - 2.5*x583 - 3*x584 - 3.5*x585 - 4*x586 - 4.5*x587 - 5*x588
      - 5.5*x589 - 6*x590 - 6.5*x591 - 7*x592 - 7.5*x593 - 0.5*x595 - x596
      - 1.5*x597 - 2*x598 - 2.5*x599 - 3*x600 - 3.5*x601 - 4*x602 - 4.5*x603
      - 5*x604 - 5.5*x605 - 6*x606 - 6.5*x607 - 7*x608 - 7.5*x609 =E= 0;

e2..    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 =L= 16;

e3..    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 =L= 16;

e4..    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 =L= 16;

e5..    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 =L= 16;

e6..    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 =L= 16;

e7..    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 =L= 16;

e8..    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 =L= 16;

e9..    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 =L= 16;

e10..    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 =L= 16;

e11..    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 =L= 16;

e12..    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 =L= 16;

e13..    x98 + x99 + x100 + x101 + x102 + x103 + x104 + x105 + x106 + x107
       + x108 + x109 + x110 + x111 + x112 + x113 + x130 + x131 + x132 + x133
       + x134 + x135 + x136 + x137 + x138 + x139 + x140 + x141 + x142 + x143
       + x144 + x145 + x178 + x179 + x180 + x181 + x182 + x183 + x184 + x185
       + x186 + x187 + x188 + x189 + x190 + x191 + x192 + x193 + x226 + x227
       + x228 + x229 + x230 + x231 + x232 + x233 + x234 + x235 + x236 + x237
       + x238 + x239 + x240 + x241 + x418 + x419 + x420 + x421 + x422 + x423
       + x424 + x425 + x426 + x427 + x428 + x429 + x430 + x431 + x432 + x433
       + x482 + x483 + x484 + x485 + x486 + x487 + x488 + x489 + x490 + x491
       + x492 + x493 + x494 + x495 + x496 + x497 + x530 + x531 + x532 + x533
       + x534 + x535 + x536 + x537 + x538 + x539 + x540 + x541 + x542 + x543
       + x544 + x545 + x578 + x579 + x580 + x581 + x582 + x583 + x584 + x585
       + x586 + x587 + x588 + x589 + x590 + x591 + x592 + x593 =L= 16;

e14..    x146 + x147 + x148 + x149 + x150 + x151 + x152 + x153 + x154 + x155
       + x156 + x157 + x158 + x159 + x160 + x161 + x194 + x195 + x196 + x197
       + x198 + x199 + x200 + x201 + x202 + x203 + x204 + x205 + x206 + x207
       + x208 + x209 + x242 + x243 + x244 + x245 + x246 + x247 + x248 + x249
       + x250 + x251 + x252 + x253 + x254 + x255 + x256 + x257 + x290 + x291
       + x292 + x293 + x294 + x295 + x296 + x297 + x298 + x299 + x300 + x301
       + x302 + x303 + x304 + x305 + x370 + x371 + x372 + x373 + x374 + x375
       + x376 + x377 + x378 + x379 + x380 + x381 + x382 + x383 + x384 + x385
       + x434 + x435 + x436 + x437 + x438 + x439 + x440 + x441 + x442 + x443
       + x444 + x445 + x446 + x447 + x448 + x449 + x498 + x499 + x500 + x501
       + x502 + x503 + x504 + x505 + x506 + x507 + x508 + x509 + x510 + x511
       + x512 + x513 + x546 + x547 + x548 + x549 + x550 + x551 + x552 + x553
       + x554 + x555 + x556 + x557 + x558 + x559 + x560 + x561 =L= 16;

e15..    x114 + x115 + x116 + x117 + x118 + x119 + x120 + x121 + x122 + x123
       + x124 + x125 + x126 + x127 + x128 + x129 + x162 + x163 + x164 + x165
       + x166 + x167 + x168 + x169 + x170 + x171 + x172 + x173 + x174 + x175
       + x176 + x177 + x210 + x211 + x212 + x213 + x214 + x215 + x216 + x217
       + x218 + x219 + x220 + x221 + x222 + x223 + x224 + x225 + x258 + x259
       + x260 + x261 + x262 + x263 + x264 + x265 + x266 + x267 + x268 + x269
       + x270 + x271 + x272 + x273 + x306 + x307 + x308 + x309 + x310 + x311
       + x312 + x313 + x314 + x315 + x316 + x317 + x318 + x319 + x320 + x321
       + x338 + x339 + x340 + x341 + x342 + x343 + x344 + x345 + x346 + x347
       + x348 + x349 + x350 + x351 + x352 + x353 + x386 + x387 + x388 + x389
       + x390 + x391 + x392 + x393 + x394 + x395 + x396 + x397 + x398 + x399
       + x400 + x401 + x450 + x451 + x452 + x453 + x454 + x455 + x456 + x457
       + x458 + x459 + x460 + x461 + x462 + x463 + x464 + x465 =L= 16;

e16..    x274 + x275 + x276 + x277 + x278 + x279 + x280 + x281 + x282 + x283
       + x284 + x285 + x286 + x287 + x288 + x289 + x322 + x323 + x324 + x325
       + x326 + x327 + x328 + x329 + x330 + x331 + x332 + x333 + x334 + x335
       + x336 + x337 + x354 + x355 + x356 + x357 + x358 + x359 + x360 + x361
       + x362 + x363 + x364 + x365 + x366 + x367 + x368 + x369 + x402 + x403
       + x404 + x405 + x406 + x407 + x408 + x409 + x410 + x411 + x412 + x413
       + x414 + x415 + x416 + x417 + x466 + x467 + x468 + x469 + x470 + x471
       + x472 + x473 + x474 + x475 + x476 + x477 + x478 + x479 + x480 + x481
       + x514 + x515 + x516 + x517 + x518 + x519 + x520 + x521 + x522 + x523
       + x524 + x525 + x526 + x527 + x528 + x529 + x562 + x563 + x564 + x565
       + x566 + x567 + x568 + x569 + x570 + x571 + x572 + x573 + x574 + x575
       + x576 + x577 + x594 + x595 + x596 + x597 + x598 + x599 + x600 + x601
       + x602 + x603 + x604 + x605 + x606 + x607 + x608 + x609 =L= 16;

e17..    x98 + x114 + x130 + x146 + x162 + x178 + x194 + x210 + x226 + x242
       + x258 + x274 + x290 + x306 + x322 + x338 + x354 + x370 + x386 + x402
       + x418 + x434 + x450 + x466 + x482 + x498 + x514 + x530 + x546 + x562
       + x578 + x594 =L= 1;

e18..    x99 + x115 + x131 + x147 + x163 + x179 + x195 + x211 + x227 + x243
       + x259 + x275 + x291 + x307 + x323 + x339 + x355 + x371 + x387 + x403
       + x419 + x435 + x451 + x467 + x483 + x499 + x515 + x531 + x547 + x563
       + x579 + x595 =L= 1;

e19..    x100 + x116 + x132 + x148 + x164 + x180 + x196 + x212 + x228 + x244
       + x260 + x276 + x292 + x308 + x324 + x340 + x356 + x372 + x388 + x404
       + x420 + x436 + x452 + x468 + x484 + x500 + x516 + x532 + x548 + x564
       + x580 + x596 =L= 1;

e20..    x101 + x117 + x133 + x149 + x165 + x181 + x197 + x213 + x229 + x245
       + x261 + x277 + x293 + x309 + x325 + x341 + x357 + x373 + x389 + x405
       + x421 + x437 + x453 + x469 + x485 + x501 + x517 + x533 + x549 + x565
       + x581 + x597 =L= 1;

e21..    x102 + x118 + x134 + x150 + x166 + x182 + x198 + x214 + x230 + x246
       + x262 + x278 + x294 + x310 + x326 + x342 + x358 + x374 + x390 + x406
       + x422 + x438 + x454 + x470 + x486 + x502 + x518 + x534 + x550 + x566
       + x582 + x598 =L= 1;

e22..    x103 + x119 + x135 + x151 + x167 + x183 + x199 + x215 + x231 + x247
       + x263 + x279 + x295 + x311 + x327 + x343 + x359 + x375 + x391 + x407
       + x423 + x439 + x455 + x471 + x487 + x503 + x519 + x535 + x551 + x567
       + x583 + x599 =L= 1;

e23..    x104 + x120 + x136 + x152 + x168 + x184 + x200 + x216 + x232 + x248
       + x264 + x280 + x296 + x312 + x328 + x344 + x360 + x376 + x392 + x408
       + x424 + x440 + x456 + x472 + x488 + x504 + x520 + x536 + x552 + x568
       + x584 + x600 =L= 1;

e24..    x105 + x121 + x137 + x153 + x169 + x185 + x201 + x217 + x233 + x249
       + x265 + x281 + x297 + x313 + x329 + x345 + x361 + x377 + x393 + x409
       + x425 + x441 + x457 + x473 + x489 + x505 + x521 + x537 + x553 + x569
       + x585 + x601 =L= 1;

e25..    x106 + x122 + x138 + x154 + x170 + x186 + x202 + x218 + x234 + x250
       + x266 + x282 + x298 + x314 + x330 + x346 + x362 + x378 + x394 + x410
       + x426 + x442 + x458 + x474 + x490 + x506 + x522 + x538 + x554 + x570
       + x586 + x602 =L= 1;

e26..    x107 + x123 + x139 + x155 + x171 + x187 + x203 + x219 + x235 + x251
       + x267 + x283 + x299 + x315 + x331 + x347 + x363 + x379 + x395 + x411
       + x427 + x443 + x459 + x475 + x491 + x507 + x523 + x539 + x555 + x571
       + x587 + x603 =L= 1;

e27..    x108 + x124 + x140 + x156 + x172 + x188 + x204 + x220 + x236 + x252
       + x268 + x284 + x300 + x316 + x332 + x348 + x364 + x380 + x396 + x412
       + x428 + x444 + x460 + x476 + x492 + x508 + x524 + x540 + x556 + x572
       + x588 + x604 =L= 1;

e28..    x109 + x125 + x141 + x157 + x173 + x189 + x205 + x221 + x237 + x253
       + x269 + x285 + x301 + x317 + x333 + x349 + x365 + x381 + x397 + x413
       + x429 + x445 + x461 + x477 + x493 + x509 + x525 + x541 + x557 + x573
       + x589 + x605 =L= 1;

e29..    x110 + x126 + x142 + x158 + x174 + x190 + x206 + x222 + x238 + x254
       + x270 + x286 + x302 + x318 + x334 + x350 + x366 + x382 + x398 + x414
       + x430 + x446 + x462 + x478 + x494 + x510 + x526 + x542 + x558 + x574
       + x590 + x606 =L= 1;

e30..    x111 + x127 + x143 + x159 + x175 + x191 + x207 + x223 + x239 + x255
       + x271 + x287 + x303 + x319 + x335 + x351 + x367 + x383 + x399 + x415
       + x431 + x447 + x463 + x479 + x495 + x511 + x527 + x543 + x559 + x575
       + x591 + x607 =L= 1;

e31..    x112 + x128 + x144 + x160 + x176 + x192 + x208 + x224 + x240 + x256
       + x272 + x288 + x304 + x320 + x336 + x352 + x368 + x384 + x400 + x416
       + x432 + x448 + x464 + x480 + x496 + x512 + x528 + x544 + x560 + x576
       + x592 + x608 =L= 1;

e32..    x113 + x129 + x145 + x161 + x177 + x193 + x209 + x225 + x241 + x257
       + x273 + x289 + x305 + x321 + x337 + x353 + x369 + x385 + x401 + x417
       + x433 + x449 + x465 + x481 + x497 + x513 + x529 + x545 + x561 + x577
       + x593 + x609 =L= 1;

e33..    0.95*x98 + 0.95*x114 + 0.85*x130 + 0.85*x146 + 0.85*x162 + 0.75*x178
       + 0.75*x194 + 0.75*x210 + 0.65*x226 + 0.65*x242 + 0.65*x258 + 0.65*x274
       + 0.55*x290 + 0.55*x306 + 0.55*x322 + 0.45*x338 + 0.45*x354 + 0.35*x370
       + 0.35*x386 + 0.35*x402 + 0.25*x418 + 0.25*x434 + 0.25*x450 + 0.25*x466
       + 0.15*x482 + 0.15*x498 + 0.15*x514 + 0.05*x530 + 0.05*x546 + 0.05*x562
       - 0.05*x578 - 0.05*x594 =L= 0;

e34..    0.9*x99 + 0.9*x115 + 0.8*x131 + 0.8*x147 + 0.8*x163 + 0.7*x179
       + 0.7*x195 + 0.7*x211 + 0.6*x227 + 0.6*x243 + 0.6*x259 + 0.6*x275
       + 0.5*x291 + 0.5*x307 + 0.5*x323 + 0.4*x339 + 0.4*x355 + 0.3*x371
       + 0.3*x387 + 0.3*x403 + 0.2*x419 + 0.2*x435 + 0.2*x451 + 0.2*x467
       + 0.0999999999999999*x483 + 0.0999999999999999*x499
       + 0.0999999999999999*x515 - 0.1*x579 - 0.1*x595 =L= 0;

e35..    0.85*x100 + 0.85*x116 + 0.75*x132 + 0.75*x148 + 0.75*x164 + 0.65*x180
       + 0.65*x196 + 0.65*x212 + 0.55*x228 + 0.55*x244 + 0.55*x260 + 0.55*x276
       + 0.45*x292 + 0.45*x308 + 0.45*x324 + 0.35*x340 + 0.35*x356 + 0.25*x372
       + 0.25*x388 + 0.25*x404 + 0.15*x420 + 0.15*x436 + 0.15*x452 + 0.15*x468
       + 0.05*x484 + 0.05*x500 + 0.05*x516 - 0.0499999999999998*x532
       - 0.0499999999999998*x548 - 0.0499999999999998*x564 - 0.15*x580
       - 0.15*x596 =L= 0;

e36..    0.8*x101 + 0.8*x117 + 0.7*x133 + 0.7*x149 + 0.7*x165 + 0.6*x181
       + 0.6*x197 + 0.6*x213 + 0.5*x229 + 0.5*x245 + 0.5*x261 + 0.5*x277
       + 0.4*x293 + 0.4*x309 + 0.4*x325 + 0.3*x341 + 0.3*x357 + 0.2*x373
       + 0.2*x389 + 0.2*x405 + 0.1*x421 + 0.1*x437 + 0.1*x453 + 0.1*x469
       - 0.0999999999999999*x533 - 0.0999999999999999*x549
       - 0.0999999999999999*x565 - 0.2*x581 - 0.2*x597 =L= 0;

e37..    0.75*x102 + 0.75*x118 + 0.65*x134 + 0.65*x150 + 0.65*x166 + 0.55*x182
       + 0.55*x198 + 0.55*x214 + 0.45*x230 + 0.45*x246 + 0.45*x262 + 0.45*x278
       + 0.35*x294 + 0.35*x310 + 0.35*x326 + 0.25*x342 + 0.25*x358 + 0.15*x374
       + 0.15*x390 + 0.15*x406 + 0.05*x422 + 0.05*x438 + 0.05*x454 + 0.05*x470
       - 0.05*x486 - 0.05*x502 - 0.05*x518 - 0.15*x534 - 0.15*x550 - 0.15*x566
       - 0.25*x582 - 0.25*x598 =L= 0;

e38..    0.7*x103 + 0.7*x119 + 0.6*x135 + 0.6*x151 + 0.6*x167 + 0.5*x183
       + 0.5*x199 + 0.5*x215 + 0.4*x231 + 0.4*x247 + 0.4*x263 + 0.4*x279
       + 0.3*x295 + 0.3*x311 + 0.3*x327 + 0.2*x343 + 0.2*x359
       + 0.0999999999999999*x375 + 0.0999999999999999*x391
       + 0.0999999999999999*x407 - 0.1*x487 - 0.1*x503 - 0.1*x519 - 0.2*x535
       - 0.2*x551 - 0.2*x567 - 0.3*x583 - 0.3*x599 =L= 0;

e39..    0.65*x104 + 0.65*x120 + 0.55*x136 + 0.55*x152 + 0.55*x168 + 0.45*x184
       + 0.45*x200 + 0.45*x216 + 0.35*x232 + 0.35*x248 + 0.35*x264 + 0.35*x280
       + 0.25*x296 + 0.25*x312 + 0.25*x328 + 0.15*x344 + 0.15*x360
       + 0.0499999999999998*x376 + 0.0499999999999998*x392
       + 0.0499999999999998*x408 - 0.05*x424 - 0.05*x440 - 0.05*x456
       - 0.05*x472 - 0.15*x488 - 0.15*x504 - 0.15*x520 - 0.25*x536 - 0.25*x552
       - 0.25*x568 - 0.35*x584 - 0.35*x600 =L= 0;

e40..    0.6*x105 + 0.6*x121 + 0.5*x137 + 0.5*x153 + 0.5*x169 + 0.4*x185
       + 0.4*x201 + 0.4*x217 + 0.3*x233 + 0.3*x249 + 0.3*x265 + 0.3*x281
       + 0.2*x297 + 0.2*x313 + 0.2*x329 + 0.1*x345 + 0.1*x361
       - 0.0999999999999999*x425 - 0.0999999999999999*x441
       - 0.0999999999999999*x457 - 0.0999999999999999*x473 - 0.2*x489
       - 0.2*x505 - 0.2*x521 - 0.3*x537 - 0.3*x553 - 0.3*x569 - 0.4*x585
       - 0.4*x601 =L= 0;

e41..    0.55*x106 + 0.55*x122 + 0.45*x138 + 0.45*x154 + 0.45*x170 + 0.35*x186
       + 0.35*x202 + 0.35*x218 + 0.25*x234 + 0.25*x250 + 0.25*x266 + 0.25*x282
       + 0.15*x298 + 0.15*x314 + 0.15*x330 + 0.05*x346 + 0.05*x362 - 0.05*x378
       - 0.05*x394 - 0.05*x410 - 0.15*x426 - 0.15*x442 - 0.15*x458 - 0.15*x474
       - 0.25*x490 - 0.25*x506 - 0.25*x522 - 0.35*x538 - 0.35*x554 - 0.35*x570
       - 0.45*x586 - 0.45*x602 =L= 0;

e42..    0.5*x107 + 0.5*x123 + 0.4*x139 + 0.4*x155 + 0.4*x171 + 0.3*x187
       + 0.3*x203 + 0.3*x219 + 0.2*x235 + 0.2*x251 + 0.2*x267 + 0.2*x283
       + 0.1*x299 + 0.1*x315 + 0.1*x331 - 0.1*x379 - 0.1*x395 - 0.1*x411
       - 0.2*x427 - 0.2*x443 - 0.2*x459 - 0.2*x475 - 0.3*x491 - 0.3*x507
       - 0.3*x523 - 0.4*x539 - 0.4*x555 - 0.4*x571 - 0.5*x587 - 0.5*x603 =L= 0;

e43..    0.45*x108 + 0.45*x124 + 0.35*x140 + 0.35*x156 + 0.35*x172 + 0.25*x188
       + 0.25*x204 + 0.25*x220 + 0.15*x236 + 0.15*x252 + 0.15*x268 + 0.15*x284
       + 0.05*x300 + 0.05*x316 + 0.05*x332 - 0.05*x348 - 0.05*x364 - 0.15*x380
       - 0.15*x396 - 0.15*x412 - 0.25*x428 - 0.25*x444 - 0.25*x460 - 0.25*x476
       - 0.35*x492 - 0.35*x508 - 0.35*x524 - 0.45*x540 - 0.45*x556 - 0.45*x572
       - 0.55*x588 - 0.55*x604 =L= 0;

e44..    0.4*x109 + 0.4*x125 + 0.3*x141 + 0.3*x157 + 0.3*x173 + 0.2*x189
       + 0.2*x205 + 0.2*x221 + 0.0999999999999999*x237
       + 0.0999999999999999*x253 + 0.0999999999999999*x269
       + 0.0999999999999999*x285 - 0.1*x349 - 0.1*x365 - 0.2*x381 - 0.2*x397
       - 0.2*x413 - 0.3*x429 - 0.3*x445 - 0.3*x461 - 0.3*x477 - 0.4*x493
       - 0.4*x509 - 0.4*x525 - 0.5*x541 - 0.5*x557 - 0.5*x573 - 0.6*x589
       - 0.6*x605 =L= 0;

e45..    0.35*x110 + 0.35*x126 + 0.25*x142 + 0.25*x158 + 0.25*x174 + 0.15*x190
       + 0.15*x206 + 0.15*x222 + 0.05*x238 + 0.05*x254 + 0.05*x270 + 0.05*x286
       - 0.0499999999999998*x302 - 0.0499999999999998*x318
       - 0.0499999999999998*x334 - 0.15*x350 - 0.15*x366 - 0.25*x382
       - 0.25*x398 - 0.25*x414 - 0.35*x430 - 0.35*x446 - 0.35*x462 - 0.35*x478
       - 0.45*x494 - 0.45*x510 - 0.45*x526 - 0.55*x542 - 0.55*x558 - 0.55*x574
       - 0.65*x590 - 0.65*x606 =L= 0;

e46..    0.3*x111 + 0.3*x127 + 0.2*x143 + 0.2*x159 + 0.2*x175 + 0.1*x191
       + 0.1*x207 + 0.1*x223 - 0.0999999999999999*x303
       - 0.0999999999999999*x319 - 0.0999999999999999*x335 - 0.2*x351
       - 0.2*x367 - 0.3*x383 - 0.3*x399 - 0.3*x415 - 0.4*x431 - 0.4*x447
       - 0.4*x463 - 0.4*x479 - 0.5*x495 - 0.5*x511 - 0.5*x527 - 0.6*x543
       - 0.6*x559 - 0.6*x575 - 0.7*x591 - 0.7*x607 =L= 0;

e47..    0.25*x112 + 0.25*x128 + 0.15*x144 + 0.15*x160 + 0.15*x176 + 0.05*x192
       + 0.05*x208 + 0.05*x224 - 0.05*x240 - 0.05*x256 - 0.05*x272 - 0.05*x288
       - 0.15*x304 - 0.15*x320 - 0.15*x336 - 0.25*x352 - 0.25*x368 - 0.35*x384
       - 0.35*x400 - 0.35*x416 - 0.45*x432 - 0.45*x448 - 0.45*x464 - 0.45*x480
       - 0.55*x496 - 0.55*x512 - 0.55*x528 - 0.65*x544 - 0.65*x560 - 0.65*x576
       - 0.75*x592 - 0.75*x608 =L= 0;

e48..    0.2*x113 + 0.2*x129 + 0.0999999999999999*x145
       + 0.0999999999999999*x161 + 0.0999999999999999*x177 - 0.1*x241
       - 0.1*x257 - 0.1*x273 - 0.1*x289 - 0.2*x305 - 0.2*x321 - 0.2*x337
       - 0.3*x353 - 0.3*x369 - 0.4*x385 - 0.4*x401 - 0.4*x417 - 0.5*x433
       - 0.5*x449 - 0.5*x465 - 0.5*x481 - 0.6*x497 - 0.6*x513 - 0.6*x529
       - 0.7*x545 - 0.7*x561 - 0.7*x577 - 0.8*x593 - 0.8*x609 =L= 0;

e49..    x2 + x4 + x7 + x10 + x22 + x26 + x29 + x32 =E= 1;

e50..    x5 + x8 + x11 + x14 + x19 + x23 + x27 + x30 =E= 1;

e51..    x3 + x6 + x9 + x12 + x15 + x17 + x20 + x24 =E= 1;

e52..    x13 + x16 + x18 + x21 + x25 + x28 + x31 + x33 =E= 1;

e53.. -x2*x34 + x98 =E= 0;

e54.. -x2*x35 + x99 =E= 0;

e55.. -x2*x36 + x100 =E= 0;

e56.. -x2*x37 + x101 =E= 0;

e57.. -x2*x38 + x102 =E= 0;

e58.. -x2*x39 + x103 =E= 0;

e59.. -x2*x40 + x104 =E= 0;

e60.. -x2*x41 + x105 =E= 0;

e61.. -x2*x42 + x106 =E= 0;

e62.. -x2*x43 + x107 =E= 0;

e63.. -x2*x44 + x108 =E= 0;

e64.. -x2*x45 + x109 =E= 0;

e65.. -x2*x46 + x110 =E= 0;

e66.. -x2*x47 + x111 =E= 0;

e67.. -x2*x48 + x112 =E= 0;

e68.. -x2*x49 + x113 =E= 0;

e69.. -x3*x66 + x114 =E= 0;

e70.. -x3*x67 + x115 =E= 0;

e71.. -x3*x68 + x116 =E= 0;

e72.. -x3*x69 + x117 =E= 0;

e73.. -x3*x70 + x118 =E= 0;

e74.. -x3*x71 + x119 =E= 0;

e75.. -x3*x72 + x120 =E= 0;

e76.. -x3*x73 + x121 =E= 0;

e77.. -x3*x74 + x122 =E= 0;

e78.. -x3*x75 + x123 =E= 0;

e79.. -x3*x76 + x124 =E= 0;

e80.. -x3*x77 + x125 =E= 0;

e81.. -x3*x78 + x126 =E= 0;

e82.. -x3*x79 + x127 =E= 0;

e83.. -x3*x80 + x128 =E= 0;

e84.. -x3*x81 + x129 =E= 0;

e85.. -x4*x34 + x130 =E= 0;

e86.. -x4*x35 + x131 =E= 0;

e87.. -x4*x36 + x132 =E= 0;

e88.. -x4*x37 + x133 =E= 0;

e89.. -x4*x38 + x134 =E= 0;

e90.. -x4*x39 + x135 =E= 0;

e91.. -x4*x40 + x136 =E= 0;

e92.. -x4*x41 + x137 =E= 0;

e93.. -x4*x42 + x138 =E= 0;

e94.. -x4*x43 + x139 =E= 0;

e95.. -x4*x44 + x140 =E= 0;

e96.. -x4*x45 + x141 =E= 0;

e97.. -x4*x46 + x142 =E= 0;

e98.. -x4*x47 + x143 =E= 0;

e99.. -x4*x48 + x144 =E= 0;

e100.. -x4*x49 + x145 =E= 0;

e101.. -x5*x50 + x146 =E= 0;

e102.. -x5*x51 + x147 =E= 0;

e103.. -x5*x52 + x148 =E= 0;

e104.. -x5*x53 + x149 =E= 0;

e105.. -x5*x54 + x150 =E= 0;

e106.. -x5*x55 + x151 =E= 0;

e107.. -x5*x56 + x152 =E= 0;

e108.. -x5*x57 + x153 =E= 0;

e109.. -x5*x58 + x154 =E= 0;

e110.. -x5*x59 + x155 =E= 0;

e111.. -x5*x60 + x156 =E= 0;

e112.. -x5*x61 + x157 =E= 0;

e113.. -x5*x62 + x158 =E= 0;

e114.. -x5*x63 + x159 =E= 0;

e115.. -x5*x64 + x160 =E= 0;

e116.. -x5*x65 + x161 =E= 0;

e117.. -x6*x66 + x162 =E= 0;

e118.. -x6*x67 + x163 =E= 0;

e119.. -x6*x68 + x164 =E= 0;

e120.. -x6*x69 + x165 =E= 0;

e121.. -x6*x70 + x166 =E= 0;

e122.. -x6*x71 + x167 =E= 0;

e123.. -x6*x72 + x168 =E= 0;

e124.. -x6*x73 + x169 =E= 0;

e125.. -x6*x74 + x170 =E= 0;

e126.. -x6*x75 + x171 =E= 0;

e127.. -x6*x76 + x172 =E= 0;

e128.. -x6*x77 + x173 =E= 0;

e129.. -x6*x78 + x174 =E= 0;

e130.. -x6*x79 + x175 =E= 0;

e131.. -x6*x80 + x176 =E= 0;

e132.. -x6*x81 + x177 =E= 0;

e133.. -x7*x34 + x178 =E= 0;

e134.. -x7*x35 + x179 =E= 0;

e135.. -x7*x36 + x180 =E= 0;

e136.. -x7*x37 + x181 =E= 0;

e137.. -x7*x38 + x182 =E= 0;

e138.. -x7*x39 + x183 =E= 0;

e139.. -x7*x40 + x184 =E= 0;

e140.. -x7*x41 + x185 =E= 0;

e141.. -x7*x42 + x186 =E= 0;

e142.. -x7*x43 + x187 =E= 0;

e143.. -x7*x44 + x188 =E= 0;

e144.. -x7*x45 + x189 =E= 0;

e145.. -x7*x46 + x190 =E= 0;

e146.. -x7*x47 + x191 =E= 0;

e147.. -x7*x48 + x192 =E= 0;

e148.. -x7*x49 + x193 =E= 0;

e149.. -x8*x50 + x194 =E= 0;

e150.. -x8*x51 + x195 =E= 0;

e151.. -x8*x52 + x196 =E= 0;

e152.. -x8*x53 + x197 =E= 0;

e153.. -x8*x54 + x198 =E= 0;

e154.. -x8*x55 + x199 =E= 0;

e155.. -x8*x56 + x200 =E= 0;

e156.. -x8*x57 + x201 =E= 0;

e157.. -x8*x58 + x202 =E= 0;

e158.. -x8*x59 + x203 =E= 0;

e159.. -x8*x60 + x204 =E= 0;

e160.. -x8*x61 + x205 =E= 0;

e161.. -x8*x62 + x206 =E= 0;

e162.. -x8*x63 + x207 =E= 0;

e163.. -x8*x64 + x208 =E= 0;

e164.. -x8*x65 + x209 =E= 0;

e165.. -x9*x66 + x210 =E= 0;

e166.. -x9*x67 + x211 =E= 0;

e167.. -x9*x68 + x212 =E= 0;

e168.. -x9*x69 + x213 =E= 0;

e169.. -x9*x70 + x214 =E= 0;

e170.. -x9*x71 + x215 =E= 0;

e171.. -x9*x72 + x216 =E= 0;

e172.. -x9*x73 + x217 =E= 0;

e173.. -x9*x74 + x218 =E= 0;

e174.. -x9*x75 + x219 =E= 0;

e175.. -x9*x76 + x220 =E= 0;

e176.. -x9*x77 + x221 =E= 0;

e177.. -x9*x78 + x222 =E= 0;

e178.. -x9*x79 + x223 =E= 0;

e179.. -x9*x80 + x224 =E= 0;

e180.. -x9*x81 + x225 =E= 0;

e181.. -x10*x34 + x226 =E= 0;

e182.. -x10*x35 + x227 =E= 0;

e183.. -x10*x36 + x228 =E= 0;

e184.. -x10*x37 + x229 =E= 0;

e185.. -x10*x38 + x230 =E= 0;

e186.. -x10*x39 + x231 =E= 0;

e187.. -x10*x40 + x232 =E= 0;

e188.. -x10*x41 + x233 =E= 0;

e189.. -x10*x42 + x234 =E= 0;

e190.. -x10*x43 + x235 =E= 0;

e191.. -x10*x44 + x236 =E= 0;

e192.. -x10*x45 + x237 =E= 0;

e193.. -x10*x46 + x238 =E= 0;

e194.. -x10*x47 + x239 =E= 0;

e195.. -x10*x48 + x240 =E= 0;

e196.. -x10*x49 + x241 =E= 0;

e197.. -x11*x50 + x242 =E= 0;

e198.. -x11*x51 + x243 =E= 0;

e199.. -x11*x52 + x244 =E= 0;

e200.. -x11*x53 + x245 =E= 0;

e201.. -x11*x54 + x246 =E= 0;

e202.. -x11*x55 + x247 =E= 0;

e203.. -x11*x56 + x248 =E= 0;

e204.. -x11*x57 + x249 =E= 0;

e205.. -x11*x58 + x250 =E= 0;

e206.. -x11*x59 + x251 =E= 0;

e207.. -x11*x60 + x252 =E= 0;

e208.. -x11*x61 + x253 =E= 0;

e209.. -x11*x62 + x254 =E= 0;

e210.. -x11*x63 + x255 =E= 0;

e211.. -x11*x64 + x256 =E= 0;

e212.. -x11*x65 + x257 =E= 0;

e213.. -x12*x66 + x258 =E= 0;

e214.. -x12*x67 + x259 =E= 0;

e215.. -x12*x68 + x260 =E= 0;

e216.. -x12*x69 + x261 =E= 0;

e217.. -x12*x70 + x262 =E= 0;

e218.. -x12*x71 + x263 =E= 0;

e219.. -x12*x72 + x264 =E= 0;

e220.. -x12*x73 + x265 =E= 0;

e221.. -x12*x74 + x266 =E= 0;

e222.. -x12*x75 + x267 =E= 0;

e223.. -x12*x76 + x268 =E= 0;

e224.. -x12*x77 + x269 =E= 0;

e225.. -x12*x78 + x270 =E= 0;

e226.. -x12*x79 + x271 =E= 0;

e227.. -x12*x80 + x272 =E= 0;

e228.. -x12*x81 + x273 =E= 0;

e229.. -x13*x82 + x274 =E= 0;

e230.. -x13*x83 + x275 =E= 0;

e231.. -x13*x84 + x276 =E= 0;

e232.. -x13*x85 + x277 =E= 0;

e233.. -x13*x86 + x278 =E= 0;

e234.. -x13*x87 + x279 =E= 0;

e235.. -x13*x88 + x280 =E= 0;

e236.. -x13*x89 + x281 =E= 0;

e237.. -x13*x90 + x282 =E= 0;

e238.. -x13*x91 + x283 =E= 0;

e239.. -x13*x92 + x284 =E= 0;

e240.. -x13*x93 + x285 =E= 0;

e241.. -x13*x94 + x286 =E= 0;

e242.. -x13*x95 + x287 =E= 0;

e243.. -x13*x96 + x288 =E= 0;

e244.. -x13*x97 + x289 =E= 0;

e245.. -x14*x50 + x290 =E= 0;

e246.. -x14*x51 + x291 =E= 0;

e247.. -x14*x52 + x292 =E= 0;

e248.. -x14*x53 + x293 =E= 0;

e249.. -x14*x54 + x294 =E= 0;

e250.. -x14*x55 + x295 =E= 0;

e251.. -x14*x56 + x296 =E= 0;

e252.. -x14*x57 + x297 =E= 0;

e253.. -x14*x58 + x298 =E= 0;

e254.. -x14*x59 + x299 =E= 0;

e255.. -x14*x60 + x300 =E= 0;

e256.. -x14*x61 + x301 =E= 0;

e257.. -x14*x62 + x302 =E= 0;

e258.. -x14*x63 + x303 =E= 0;

e259.. -x14*x64 + x304 =E= 0;

e260.. -x14*x65 + x305 =E= 0;

e261.. -x15*x66 + x306 =E= 0;

e262.. -x15*x67 + x307 =E= 0;

e263.. -x15*x68 + x308 =E= 0;

e264.. -x15*x69 + x309 =E= 0;

e265.. -x15*x70 + x310 =E= 0;

e266.. -x15*x71 + x311 =E= 0;

e267.. -x15*x72 + x312 =E= 0;

e268.. -x15*x73 + x313 =E= 0;

e269.. -x15*x74 + x314 =E= 0;

e270.. -x15*x75 + x315 =E= 0;

e271.. -x15*x76 + x316 =E= 0;

e272.. -x15*x77 + x317 =E= 0;

e273.. -x15*x78 + x318 =E= 0;

e274.. -x15*x79 + x319 =E= 0;

e275.. -x15*x80 + x320 =E= 0;

e276.. -x15*x81 + x321 =E= 0;

e277.. -x16*x82 + x322 =E= 0;

e278.. -x16*x83 + x323 =E= 0;

e279.. -x16*x84 + x324 =E= 0;

e280.. -x16*x85 + x325 =E= 0;

e281.. -x16*x86 + x326 =E= 0;

e282.. -x16*x87 + x327 =E= 0;

e283.. -x16*x88 + x328 =E= 0;

e284.. -x16*x89 + x329 =E= 0;

e285.. -x16*x90 + x330 =E= 0;

e286.. -x16*x91 + x331 =E= 0;

e287.. -x16*x92 + x332 =E= 0;

e288.. -x16*x93 + x333 =E= 0;

e289.. -x16*x94 + x334 =E= 0;

e290.. -x16*x95 + x335 =E= 0;

e291.. -x16*x96 + x336 =E= 0;

e292.. -x16*x97 + x337 =E= 0;

e293.. -x17*x66 + x338 =E= 0;

e294.. -x17*x67 + x339 =E= 0;

e295.. -x17*x68 + x340 =E= 0;

e296.. -x17*x69 + x341 =E= 0;

e297.. -x17*x70 + x342 =E= 0;

e298.. -x17*x71 + x343 =E= 0;

e299.. -x17*x72 + x344 =E= 0;

e300.. -x17*x73 + x345 =E= 0;

e301.. -x17*x74 + x346 =E= 0;

e302.. -x17*x75 + x347 =E= 0;

e303.. -x17*x76 + x348 =E= 0;

e304.. -x17*x77 + x349 =E= 0;

e305.. -x17*x78 + x350 =E= 0;

e306.. -x17*x79 + x351 =E= 0;

e307.. -x17*x80 + x352 =E= 0;

e308.. -x17*x81 + x353 =E= 0;

e309.. -x18*x82 + x354 =E= 0;

e310.. -x18*x83 + x355 =E= 0;

e311.. -x18*x84 + x356 =E= 0;

e312.. -x18*x85 + x357 =E= 0;

e313.. -x18*x86 + x358 =E= 0;

e314.. -x18*x87 + x359 =E= 0;

e315.. -x18*x88 + x360 =E= 0;

e316.. -x18*x89 + x361 =E= 0;

e317.. -x18*x90 + x362 =E= 0;

e318.. -x18*x91 + x363 =E= 0;

e319.. -x18*x92 + x364 =E= 0;

e320.. -x18*x93 + x365 =E= 0;

e321.. -x18*x94 + x366 =E= 0;

e322.. -x18*x95 + x367 =E= 0;

e323.. -x18*x96 + x368 =E= 0;

e324.. -x18*x97 + x369 =E= 0;

e325.. -x19*x50 + x370 =E= 0;

e326.. -x19*x51 + x371 =E= 0;

e327.. -x19*x52 + x372 =E= 0;

e328.. -x19*x53 + x373 =E= 0;

e329.. -x19*x54 + x374 =E= 0;

e330.. -x19*x55 + x375 =E= 0;

e331.. -x19*x56 + x376 =E= 0;

e332.. -x19*x57 + x377 =E= 0;

e333.. -x19*x58 + x378 =E= 0;

e334.. -x19*x59 + x379 =E= 0;

e335.. -x19*x60 + x380 =E= 0;

e336.. -x19*x61 + x381 =E= 0;

e337.. -x19*x62 + x382 =E= 0;

e338.. -x19*x63 + x383 =E= 0;

e339.. -x19*x64 + x384 =E= 0;

e340.. -x19*x65 + x385 =E= 0;

e341.. -x20*x66 + x386 =E= 0;

e342.. -x20*x67 + x387 =E= 0;

e343.. -x20*x68 + x388 =E= 0;

e344.. -x20*x69 + x389 =E= 0;

e345.. -x20*x70 + x390 =E= 0;

e346.. -x20*x71 + x391 =E= 0;

e347.. -x20*x72 + x392 =E= 0;

e348.. -x20*x73 + x393 =E= 0;

e349.. -x20*x74 + x394 =E= 0;

e350.. -x20*x75 + x395 =E= 0;

e351.. -x20*x76 + x396 =E= 0;

e352.. -x20*x77 + x397 =E= 0;

e353.. -x20*x78 + x398 =E= 0;

e354.. -x20*x79 + x399 =E= 0;

e355.. -x20*x80 + x400 =E= 0;

e356.. -x20*x81 + x401 =E= 0;

e357.. -x21*x82 + x402 =E= 0;

e358.. -x21*x83 + x403 =E= 0;

e359.. -x21*x84 + x404 =E= 0;

e360.. -x21*x85 + x405 =E= 0;

e361.. -x21*x86 + x406 =E= 0;

e362.. -x21*x87 + x407 =E= 0;

e363.. -x21*x88 + x408 =E= 0;

e364.. -x21*x89 + x409 =E= 0;

e365.. -x21*x90 + x410 =E= 0;

e366.. -x21*x91 + x411 =E= 0;

e367.. -x21*x92 + x412 =E= 0;

e368.. -x21*x93 + x413 =E= 0;

e369.. -x21*x94 + x414 =E= 0;

e370.. -x21*x95 + x415 =E= 0;

e371.. -x21*x96 + x416 =E= 0;

e372.. -x21*x97 + x417 =E= 0;

e373.. -x22*x34 + x418 =E= 0;

e374.. -x22*x35 + x419 =E= 0;

e375.. -x22*x36 + x420 =E= 0;

e376.. -x22*x37 + x421 =E= 0;

e377.. -x22*x38 + x422 =E= 0;

e378.. -x22*x39 + x423 =E= 0;

e379.. -x22*x40 + x424 =E= 0;

e380.. -x22*x41 + x425 =E= 0;

e381.. -x22*x42 + x426 =E= 0;

e382.. -x22*x43 + x427 =E= 0;

e383.. -x22*x44 + x428 =E= 0;

e384.. -x22*x45 + x429 =E= 0;

e385.. -x22*x46 + x430 =E= 0;

e386.. -x22*x47 + x431 =E= 0;

e387.. -x22*x48 + x432 =E= 0;

e388.. -x22*x49 + x433 =E= 0;

e389.. -x23*x50 + x434 =E= 0;

e390.. -x23*x51 + x435 =E= 0;

e391.. -x23*x52 + x436 =E= 0;

e392.. -x23*x53 + x437 =E= 0;

e393.. -x23*x54 + x438 =E= 0;

e394.. -x23*x55 + x439 =E= 0;

e395.. -x23*x56 + x440 =E= 0;

e396.. -x23*x57 + x441 =E= 0;

e397.. -x23*x58 + x442 =E= 0;

e398.. -x23*x59 + x443 =E= 0;

e399.. -x23*x60 + x444 =E= 0;

e400.. -x23*x61 + x445 =E= 0;

e401.. -x23*x62 + x446 =E= 0;

e402.. -x23*x63 + x447 =E= 0;

e403.. -x23*x64 + x448 =E= 0;

e404.. -x23*x65 + x449 =E= 0;

e405.. -x24*x66 + x450 =E= 0;

e406.. -x24*x67 + x451 =E= 0;

e407.. -x24*x68 + x452 =E= 0;

e408.. -x24*x69 + x453 =E= 0;

e409.. -x24*x70 + x454 =E= 0;

e410.. -x24*x71 + x455 =E= 0;

e411.. -x24*x72 + x456 =E= 0;

e412.. -x24*x73 + x457 =E= 0;

e413.. -x24*x74 + x458 =E= 0;

e414.. -x24*x75 + x459 =E= 0;

e415.. -x24*x76 + x460 =E= 0;

e416.. -x24*x77 + x461 =E= 0;

e417.. -x24*x78 + x462 =E= 0;

e418.. -x24*x79 + x463 =E= 0;

e419.. -x24*x80 + x464 =E= 0;

e420.. -x24*x81 + x465 =E= 0;

e421.. -x25*x82 + x466 =E= 0;

e422.. -x25*x83 + x467 =E= 0;

e423.. -x25*x84 + x468 =E= 0;

e424.. -x25*x85 + x469 =E= 0;

e425.. -x25*x86 + x470 =E= 0;

e426.. -x25*x87 + x471 =E= 0;

e427.. -x25*x88 + x472 =E= 0;

e428.. -x25*x89 + x473 =E= 0;

e429.. -x25*x90 + x474 =E= 0;

e430.. -x25*x91 + x475 =E= 0;

e431.. -x25*x92 + x476 =E= 0;

e432.. -x25*x93 + x477 =E= 0;

e433.. -x25*x94 + x478 =E= 0;

e434.. -x25*x95 + x479 =E= 0;

e435.. -x25*x96 + x480 =E= 0;

e436.. -x25*x97 + x481 =E= 0;

e437.. -x26*x34 + x482 =E= 0;

e438.. -x26*x35 + x483 =E= 0;

e439.. -x26*x36 + x484 =E= 0;

e440.. -x26*x37 + x485 =E= 0;

e441.. -x26*x38 + x486 =E= 0;

e442.. -x26*x39 + x487 =E= 0;

e443.. -x26*x40 + x488 =E= 0;

e444.. -x26*x41 + x489 =E= 0;

e445.. -x26*x42 + x490 =E= 0;

e446.. -x26*x43 + x491 =E= 0;

e447.. -x26*x44 + x492 =E= 0;

e448.. -x26*x45 + x493 =E= 0;

e449.. -x26*x46 + x494 =E= 0;

e450.. -x26*x47 + x495 =E= 0;

e451.. -x26*x48 + x496 =E= 0;

e452.. -x26*x49 + x497 =E= 0;

e453.. -x27*x50 + x498 =E= 0;

e454.. -x27*x51 + x499 =E= 0;

e455.. -x27*x52 + x500 =E= 0;

e456.. -x27*x53 + x501 =E= 0;

e457.. -x27*x54 + x502 =E= 0;

e458.. -x27*x55 + x503 =E= 0;

e459.. -x27*x56 + x504 =E= 0;

e460.. -x27*x57 + x505 =E= 0;

e461.. -x27*x58 + x506 =E= 0;

e462.. -x27*x59 + x507 =E= 0;

e463.. -x27*x60 + x508 =E= 0;

e464.. -x27*x61 + x509 =E= 0;

e465.. -x27*x62 + x510 =E= 0;

e466.. -x27*x63 + x511 =E= 0;

e467.. -x27*x64 + x512 =E= 0;

e468.. -x27*x65 + x513 =E= 0;

e469.. -x28*x82 + x514 =E= 0;

e470.. -x28*x83 + x515 =E= 0;

e471.. -x28*x84 + x516 =E= 0;

e472.. -x28*x85 + x517 =E= 0;

e473.. -x28*x86 + x518 =E= 0;

e474.. -x28*x87 + x519 =E= 0;

e475.. -x28*x88 + x520 =E= 0;

e476.. -x28*x89 + x521 =E= 0;

e477.. -x28*x90 + x522 =E= 0;

e478.. -x28*x91 + x523 =E= 0;

e479.. -x28*x92 + x524 =E= 0;

e480.. -x28*x93 + x525 =E= 0;

e481.. -x28*x94 + x526 =E= 0;

e482.. -x28*x95 + x527 =E= 0;

e483.. -x28*x96 + x528 =E= 0;

e484.. -x28*x97 + x529 =E= 0;

e485.. -x29*x34 + x530 =E= 0;

e486.. -x29*x35 + x531 =E= 0;

e487.. -x29*x36 + x532 =E= 0;

e488.. -x29*x37 + x533 =E= 0;

e489.. -x29*x38 + x534 =E= 0;

e490.. -x29*x39 + x535 =E= 0;

e491.. -x29*x40 + x536 =E= 0;

e492.. -x29*x41 + x537 =E= 0;

e493.. -x29*x42 + x538 =E= 0;

e494.. -x29*x43 + x539 =E= 0;

e495.. -x29*x44 + x540 =E= 0;

e496.. -x29*x45 + x541 =E= 0;

e497.. -x29*x46 + x542 =E= 0;

e498.. -x29*x47 + x543 =E= 0;

e499.. -x29*x48 + x544 =E= 0;

e500.. -x29*x49 + x545 =E= 0;

e501.. -x30*x50 + x546 =E= 0;

e502.. -x30*x51 + x547 =E= 0;

e503.. -x30*x52 + x548 =E= 0;

e504.. -x30*x53 + x549 =E= 0;

e505.. -x30*x54 + x550 =E= 0;

e506.. -x30*x55 + x551 =E= 0;

e507.. -x30*x56 + x552 =E= 0;

e508.. -x30*x57 + x553 =E= 0;

e509.. -x30*x58 + x554 =E= 0;

e510.. -x30*x59 + x555 =E= 0;

e511.. -x30*x60 + x556 =E= 0;

e512.. -x30*x61 + x557 =E= 0;

e513.. -x30*x62 + x558 =E= 0;

e514.. -x30*x63 + x559 =E= 0;

e515.. -x30*x64 + x560 =E= 0;

e516.. -x30*x65 + x561 =E= 0;

e517.. -x31*x82 + x562 =E= 0;

e518.. -x31*x83 + x563 =E= 0;

e519.. -x31*x84 + x564 =E= 0;

e520.. -x31*x85 + x565 =E= 0;

e521.. -x31*x86 + x566 =E= 0;

e522.. -x31*x87 + x567 =E= 0;

e523.. -x31*x88 + x568 =E= 0;

e524.. -x31*x89 + x569 =E= 0;

e525.. -x31*x90 + x570 =E= 0;

e526.. -x31*x91 + x571 =E= 0;

e527.. -x31*x92 + x572 =E= 0;

e528.. -x31*x93 + x573 =E= 0;

e529.. -x31*x94 + x574 =E= 0;

e530.. -x31*x95 + x575 =E= 0;

e531.. -x31*x96 + x576 =E= 0;

e532.. -x31*x97 + x577 =E= 0;

e533.. -x32*x34 + x578 =E= 0;

e534.. -x32*x35 + x579 =E= 0;

e535.. -x32*x36 + x580 =E= 0;

e536.. -x32*x37 + x581 =E= 0;

e537.. -x32*x38 + x582 =E= 0;

e538.. -x32*x39 + x583 =E= 0;

e539.. -x32*x40 + x584 =E= 0;

e540.. -x32*x41 + x585 =E= 0;

e541.. -x32*x42 + x586 =E= 0;

e542.. -x32*x43 + x587 =E= 0;

e543.. -x32*x44 + x588 =E= 0;

e544.. -x32*x45 + x589 =E= 0;

e545.. -x32*x46 + x590 =E= 0;

e546.. -x32*x47 + x591 =E= 0;

e547.. -x32*x48 + x592 =E= 0;

e548.. -x32*x49 + x593 =E= 0;

e549.. -x33*x82 + x594 =E= 0;

e550.. -x33*x83 + x595 =E= 0;

e551.. -x33*x84 + x596 =E= 0;

e552.. -x33*x85 + x597 =E= 0;

e553.. -x33*x86 + x598 =E= 0;

e554.. -x33*x87 + x599 =E= 0;

e555.. -x33*x88 + x600 =E= 0;

e556.. -x33*x89 + x601 =E= 0;

e557.. -x33*x90 + x602 =E= 0;

e558.. -x33*x91 + x603 =E= 0;

e559.. -x33*x92 + x604 =E= 0;

e560.. -x33*x93 + x605 =E= 0;

e561.. -x33*x94 + x606 =E= 0;

e562.. -x33*x95 + x607 =E= 0;

e563.. -x33*x96 + x608 =E= 0;

e564.. -x33*x97 + x609 =E= 0;

* set non-default bounds
x2.up = 1;
x3.up = 1;
x4.up = 1;
x5.up = 1;
x6.up = 1;
x7.up = 1;
x8.up = 1;
x9.up = 1;
x10.up = 1;
x11.up = 1;
x12.up = 1;
x13.up = 1;
x14.up = 1;
x15.up = 1;
x16.up = 1;
x17.up = 1;
x18.up = 1;
x19.up = 1;
x20.up = 1;
x21.up = 1;
x22.up = 1;
x23.up = 1;
x24.up = 1;
x25.up = 1;
x26.up = 1;
x27.up = 1;
x28.up = 1;
x29.up = 1;
x30.up = 1;
x31.up = 1;
x32.up = 1;
x33.up = 1;
x34.up = 1;
x35.up = 1;
x36.up = 1;
x37.up = 1;
x38.up = 1;
x39.up = 1;
x40.up = 1;
x41.up = 1;
x42.up = 1;
x43.up = 1;
x44.up = 1;
x45.up = 1;
x46.up = 1;
x47.up = 1;
x48.up = 1;
x49.up = 1;
x50.up = 1;
x51.up = 1;
x52.up = 1;
x53.up = 1;
x54.up = 1;
x55.up = 1;
x56.up = 1;
x57.up = 1;
x58.up = 1;
x59.up = 1;
x60.up = 1;
x61.up = 1;
x62.up = 1;
x63.up = 1;
x64.up = 1;
x65.up = 1;
x66.up = 1;
x67.up = 1;
x68.up = 1;
x69.up = 1;
x70.up = 1;
x71.up = 1;
x72.up = 1;
x73.up = 1;
x74.up = 1;
x75.up = 1;
x76.up = 1;
x77.up = 1;
x78.up = 1;
x79.up = 1;
x80.up = 1;
x81.up = 1;
x82.up = 1;
x83.up = 1;
x84.up = 1;
x85.up = 1;
x86.up = 1;
x87.up = 1;
x88.up = 1;
x89.up = 1;
x90.up = 1;
x91.up = 1;
x92.up = 1;
x93.up = 1;
x94.up = 1;
x95.up = 1;
x96.up = 1;
x97.up = 1;
x98.up = 1;
x99.up = 1;
x100.up = 1;
x101.up = 1;
x102.up = 1;
x103.up = 1;
x104.up = 1;
x105.up = 1;
x106.up = 1;
x107.up = 1;
x108.up = 1;
x109.up = 1;
x110.up = 1;
x111.up = 1;
x112.up = 1;
x113.up = 1;
x114.up = 1;
x115.up = 1;
x116.up = 1;
x117.up = 1;
x118.up = 1;
x119.up = 1;
x120.up = 1;
x121.up = 1;
x122.up = 1;
x123.up = 1;
x124.up = 1;
x125.up = 1;
x126.up = 1;
x127.up = 1;
x128.up = 1;
x129.up = 1;
x130.up = 1;
x131.up = 1;
x132.up = 1;
x133.up = 1;
x134.up = 1;
x135.up = 1;
x136.up = 1;
x137.up = 1;
x138.up = 1;
x139.up = 1;
x140.up = 1;
x141.up = 1;
x142.up = 1;
x143.up = 1;
x144.up = 1;
x145.up = 1;
x146.up = 1;
x147.up = 1;
x148.up = 1;
x149.up = 1;
x150.up = 1;
x151.up = 1;
x152.up = 1;
x153.up = 1;
x154.up = 1;
x155.up = 1;
x156.up = 1;
x157.up = 1;
x158.up = 1;
x159.up = 1;
x160.up = 1;
x161.up = 1;
x162.up = 1;
x163.up = 1;
x164.up = 1;
x165.up = 1;
x166.up = 1;
x167.up = 1;
x168.up = 1;
x169.up = 1;
x170.up = 1;
x171.up = 1;
x172.up = 1;
x173.up = 1;
x174.up = 1;
x175.up = 1;
x176.up = 1;
x177.up = 1;
x178.up = 1;
x179.up = 1;
x180.up = 1;
x181.up = 1;
x182.up = 1;
x183.up = 1;
x184.up = 1;
x185.up = 1;
x186.up = 1;
x187.up = 1;
x188.up = 1;
x189.up = 1;
x190.up = 1;
x191.up = 1;
x192.up = 1;
x193.up = 1;
x194.up = 1;
x195.up = 1;
x196.up = 1;
x197.up = 1;
x198.up = 1;
x199.up = 1;
x200.up = 1;
x201.up = 1;
x202.up = 1;
x203.up = 1;
x204.up = 1;
x205.up = 1;
x206.up = 1;
x207.up = 1;
x208.up = 1;
x209.up = 1;
x210.up = 1;
x211.up = 1;
x212.up = 1;
x213.up = 1;
x214.up = 1;
x215.up = 1;
x216.up = 1;
x217.up = 1;
x218.up = 1;
x219.up = 1;
x220.up = 1;
x221.up = 1;
x222.up = 1;
x223.up = 1;
x224.up = 1;
x225.up = 1;
x226.up = 1;
x227.up = 1;
x228.up = 1;
x229.up = 1;
x230.up = 1;
x231.up = 1;
x232.up = 1;
x233.up = 1;
x234.up = 1;
x235.up = 1;
x236.up = 1;
x237.up = 1;
x238.up = 1;
x239.up = 1;
x240.up = 1;
x241.up = 1;
x242.up = 1;
x243.up = 1;
x244.up = 1;
x245.up = 1;
x246.up = 1;
x247.up = 1;
x248.up = 1;
x249.up = 1;
x250.up = 1;
x251.up = 1;
x252.up = 1;
x253.up = 1;
x254.up = 1;
x255.up = 1;
x256.up = 1;
x257.up = 1;
x258.up = 1;
x259.up = 1;
x260.up = 1;
x261.up = 1;
x262.up = 1;
x263.up = 1;
x264.up = 1;
x265.up = 1;
x266.up = 1;
x267.up = 1;
x268.up = 1;
x269.up = 1;
x270.up = 1;
x271.up = 1;
x272.up = 1;
x273.up = 1;
x274.up = 1;
x275.up = 1;
x276.up = 1;
x277.up = 1;
x278.up = 1;
x279.up = 1;
x280.up = 1;
x281.up = 1;
x282.up = 1;
x283.up = 1;
x284.up = 1;
x285.up = 1;
x286.up = 1;
x287.up = 1;
x288.up = 1;
x289.up = 1;
x290.up = 1;
x291.up = 1;
x292.up = 1;
x293.up = 1;
x294.up = 1;
x295.up = 1;
x296.up = 1;
x297.up = 1;
x298.up = 1;
x299.up = 1;
x300.up = 1;
x301.up = 1;
x302.up = 1;
x303.up = 1;
x304.up = 1;
x305.up = 1;
x306.up = 1;
x307.up = 1;
x308.up = 1;
x309.up = 1;
x310.up = 1;
x311.up = 1;
x312.up = 1;
x313.up = 1;
x314.up = 1;
x315.up = 1;
x316.up = 1;
x317.up = 1;
x318.up = 1;
x319.up = 1;
x320.up = 1;
x321.up = 1;
x322.up = 1;
x323.up = 1;
x324.up = 1;
x325.up = 1;
x326.up = 1;
x327.up = 1;
x328.up = 1;
x329.up = 1;
x330.up = 1;
x331.up = 1;
x332.up = 1;
x333.up = 1;
x334.up = 1;
x335.up = 1;
x336.up = 1;
x337.up = 1;
x338.up = 1;
x339.up = 1;
x340.up = 1;
x341.up = 1;
x342.up = 1;
x343.up = 1;
x344.up = 1;
x345.up = 1;
x346.up = 1;
x347.up = 1;
x348.up = 1;
x349.up = 1;
x350.up = 1;
x351.up = 1;
x352.up = 1;
x353.up = 1;
x354.up = 1;
x355.up = 1;
x356.up = 1;
x357.up = 1;
x358.up = 1;
x359.up = 1;
x360.up = 1;
x361.up = 1;
x362.up = 1;
x363.up = 1;
x364.up = 1;
x365.up = 1;
x366.up = 1;
x367.up = 1;
x368.up = 1;
x369.up = 1;
x370.up = 1;
x371.up = 1;
x372.up = 1;
x373.up = 1;
x374.up = 1;
x375.up = 1;
x376.up = 1;
x377.up = 1;
x378.up = 1;
x379.up = 1;
x380.up = 1;
x381.up = 1;
x382.up = 1;
x383.up = 1;
x384.up = 1;
x385.up = 1;
x386.up = 1;
x387.up = 1;
x388.up = 1;
x389.up = 1;
x390.up = 1;
x391.up = 1;
x392.up = 1;
x393.up = 1;
x394.up = 1;
x395.up = 1;
x396.up = 1;
x397.up = 1;
x398.up = 1;
x399.up = 1;
x400.up = 1;
x401.up = 1;
x402.up = 1;
x403.up = 1;
x404.up = 1;
x405.up = 1;
x406.up = 1;
x407.up = 1;
x408.up = 1;
x409.up = 1;
x410.up = 1;
x411.up = 1;
x412.up = 1;
x413.up = 1;
x414.up = 1;
x415.up = 1;
x416.up = 1;
x417.up = 1;
x418.up = 1;
x419.up = 1;
x420.up = 1;
x421.up = 1;
x422.up = 1;
x423.up = 1;
x424.up = 1;
x425.up = 1;
x426.up = 1;
x427.up = 1;
x428.up = 1;
x429.up = 1;
x430.up = 1;
x431.up = 1;
x432.up = 1;
x433.up = 1;
x434.up = 1;
x435.up = 1;
x436.up = 1;
x437.up = 1;
x438.up = 1;
x439.up = 1;
x440.up = 1;
x441.up = 1;
x442.up = 1;
x443.up = 1;
x444.up = 1;
x445.up = 1;
x446.up = 1;
x447.up = 1;
x448.up = 1;
x449.up = 1;
x450.up = 1;
x451.up = 1;
x452.up = 1;
x453.up = 1;
x454.up = 1;
x455.up = 1;
x456.up = 1;
x457.up = 1;
x458.up = 1;
x459.up = 1;
x460.up = 1;
x461.up = 1;
x462.up = 1;
x463.up = 1;
x464.up = 1;
x465.up = 1;
x466.up = 1;
x467.up = 1;
x468.up = 1;
x469.up = 1;
x470.up = 1;
x471.up = 1;
x472.up = 1;
x473.up = 1;
x474.up = 1;
x475.up = 1;
x476.up = 1;
x477.up = 1;
x478.up = 1;
x479.up = 1;
x480.up = 1;
x481.up = 1;
x482.up = 1;
x483.up = 1;
x484.up = 1;
x485.up = 1;
x486.up = 1;
x487.up = 1;
x488.up = 1;
x489.up = 1;
x490.up = 1;
x491.up = 1;
x492.up = 1;
x493.up = 1;
x494.up = 1;
x495.up = 1;
x496.up = 1;
x497.up = 1;
x498.up = 1;
x499.up = 1;
x500.up = 1;
x501.up = 1;
x502.up = 1;
x503.up = 1;
x504.up = 1;
x505.up = 1;
x506.up = 1;
x507.up = 1;
x508.up = 1;
x509.up = 1;
x510.up = 1;
x511.up = 1;
x512.up = 1;
x513.up = 1;
x514.up = 1;
x515.up = 1;
x516.up = 1;
x517.up = 1;
x518.up = 1;
x519.up = 1;
x520.up = 1;
x521.up = 1;
x522.up = 1;
x523.up = 1;
x524.up = 1;
x525.up = 1;
x526.up = 1;
x527.up = 1;
x528.up = 1;
x529.up = 1;
x530.up = 1;
x531.up = 1;
x532.up = 1;
x533.up = 1;
x534.up = 1;
x535.up = 1;
x536.up = 1;
x537.up = 1;
x538.up = 1;
x539.up = 1;
x540.up = 1;
x541.up = 1;
x542.up = 1;
x543.up = 1;
x544.up = 1;
x545.up = 1;
x546.up = 1;
x547.up = 1;
x548.up = 1;
x549.up = 1;
x550.up = 1;
x551.up = 1;
x552.up = 1;
x553.up = 1;
x554.up = 1;
x555.up = 1;
x556.up = 1;
x557.up = 1;
x558.up = 1;
x559.up = 1;
x560.up = 1;
x561.up = 1;
x562.up = 1;
x563.up = 1;
x564.up = 1;
x565.up = 1;
x566.up = 1;
x567.up = 1;
x568.up = 1;
x569.up = 1;
x570.up = 1;
x571.up = 1;
x572.up = 1;
x573.up = 1;
x574.up = 1;
x575.up = 1;
x576.up = 1;
x577.up = 1;
x578.up = 1;
x579.up = 1;
x580.up = 1;
x581.up = 1;
x582.up = 1;
x583.up = 1;
x584.up = 1;
x585.up = 1;
x586.up = 1;
x587.up = 1;
x588.up = 1;
x589.up = 1;
x590.up = 1;
x591.up = 1;
x592.up = 1;
x593.up = 1;
x594.up = 1;
x595.up = 1;
x596.up = 1;
x597.up = 1;
x598.up = 1;
x599.up = 1;
x600.up = 1;
x601.up = 1;
x602.up = 1;
x603.up = 1;
x604.up = 1;
x605.up = 1;
x606.up = 1;
x607.up = 1;
x608.up = 1;
x609.up = 1;

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: 2019-06-04 Git hash: 78444eaa
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