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A Library of Mixed-Integer and Continuous Nonlinear Programming Instances

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Instance waternd_fosspoly0

Formats ams gms osil py
Primal Bounds (infeas ≤ 1e-08)
73750864.40000001 p2 ( gdx sol )
(infeas: 1e-11)
71823199.09999999 p3 ( gdx sol )
(infeas: 1e-11)
70680507.90000001 p4 ( gdx sol )
(infeas: 6e-13)
Other points (infeas > 1e-08)
930948995.00000000 p1 ( gdx sol )
(infeas: 2e-08)
Dual Bounds
67559218.09999999 (COUENNE)
67559218.09000000 (LINDO)
70680507.90000001 (SCIP)
References D'Ambrosio, Claudia, Bragalli, Cristiana, Lee, Jon, Lodi, Andrea, and Toth, Paolo, Optimal Design of Water Distribution Networks, 2011.
Bragalli, Cristiana, D'Ambrosio, Claudia, Lee, Jon, Lodi, Andrea, and Toth, Paolo, On the optimal design of water distribution networks: a practical MINLP approach, Optimization and Engineering, 13, 2012, 219-246.
Source water.gms from minlp.org model 134
Application Water Network Design
Added to library 25 Sep 2013
Problem type MBNLP
#Variables 559
#Binary Variables 406
#Integer Variables 0
#Nonlinear Variables 153
#Nonlinear Binary Variables 0
#Nonlinear Integer Variables 0
Objective Sense min
Objective type linear
Objective curvature linear
#Nonzeros in Objective 406
#Nonlinear Nonzeros in Objective 0
#Constraints 326
#Linear Constraints 268
#Quadratic Constraints 0
#Polynomial Constraints 0
#Signomial Constraints 0
#General Nonlinear Constraints 58
Operands in Gen. Nonlin. Functions mul signpower vcpower
Constraints curvature indefinite
#Nonzeros in Jacobian 1449
#Nonlinear Nonzeros in Jacobian 232
#Nonzeros in (Upper-Left) Hessian of Lagrangian 348
#Nonzeros in Diagonal of Hessian of Lagrangian 116
#Blocks in Hessian of Lagrangian 59
Minimal blocksize in Hessian of Lagrangian 1
Maximal blocksize in Hessian of Lagrangian 95
Average blocksize in Hessian of Lagrangian 2.59322
#Semicontinuities 0
#Nonlinear Semicontinuities 0
#SOS type 1 0
#SOS type 2 0
Minimal coefficient 2.8274e-03
Maximal coefficient 4.1496e+07
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
*        327      211       58       58        0        0        0        0
*  
*  Variable counts
*                   x        b        i      s1s      s2s       sc       si
*      Total     cont   binary  integer     sos1     sos2    scont     sint
*        560      154      406        0        0        0        0        0
*  FX      1
*  
*  Nonzero counts
*      Total    const       NL      DLL
*       1856     1624      232        0
*
*  Solve m using MINLP minimizing objvar;


Variables  x1,x2,x3,x4,x5,x6,x7,x8,x9,x10,x11,x12,x13,x14,x15,x16,x17,x18,x19
          ,x20,x21,x22,x23,x24,x25,x26,x27,x28,x29,x30,x31,x32,x33,x34,x35,x36
          ,x37,x38,x39,x40,x41,x42,x43,x44,x45,x46,x47,x48,x49,x50,x51,x52,x53
          ,x54,x55,x56,x57,x58,x59,x60,x61,x62,x63,x64,x65,x66,x67,x68,x69,x70
          ,x71,x72,x73,x74,x75,x76,x77,x78,x79,x80,x81,x82,x83,x84,x85,x86,x87
          ,x88,x89,x90,x91,x92,x93,x94,x95,x96,x97,x98,x99,x100,x101,x102,x103
          ,x104,x105,x106,x107,x108,x109,x110,x111,x112,x113,x114,x115,x116
          ,x117,x118,x119,x120,x121,x122,x123,x124,x125,x126,x127,x128,x129
          ,x130,x131,x132,x133,x134,x135,x136,x137,x138,x139,x140,x141,x142
          ,x143,x144,x145,x146,x147,x148,x149,x150,x151,x152,x153,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,b385,b386,b387,b388,b389
          ,b390,b391,b392,b393,b394,b395,b396,b397,b398,b399,b400,b401,b402
          ,b403,b404,b405,b406,b407,b408,b409,b410,b411,b412,b413,b414,b415
          ,b416,b417,b418,b419,b420,b421,b422,b423,b424,b425,b426,b427,b428
          ,b429,b430,b431,b432,b433,b434,b435,b436,b437,b438,b439,b440,b441
          ,b442,b443,b444,b445,b446,b447,b448,b449,b450,b451,b452,b453,b454
          ,b455,b456,b457,b458,b459,b460,b461,b462,b463,b464,b465,b466,b467
          ,b468,b469,b470,b471,b472,b473,b474,b475,b476,b477,b478,b479,b480
          ,b481,b482,b483,b484,b485,b486,b487,b488,b489,b490,b491,b492,b493
          ,b494,b495,b496,b497,b498,b499,b500,b501,b502,b503,b504,b505,b506
          ,b507,b508,b509,b510,b511,b512,b513,b514,b515,b516,b517,b518,b519
          ,b520,b521,b522,b523,b524,b525,b526,b527,b528,b529,b530,b531,b532
          ,b533,b534,b535,b536,b537,b538,b539,b540,b541,b542,b543,b544,b545
          ,b546,b547,b548,b549,b550,b551,b552,b553,b554,b555,b556,b557,b558
          ,b559,objvar;

Binary Variables  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,b385,b386
          ,b387,b388,b389,b390,b391,b392,b393,b394,b395,b396,b397,b398,b399
          ,b400,b401,b402,b403,b404,b405,b406,b407,b408,b409,b410,b411,b412
          ,b413,b414,b415,b416,b417,b418,b419,b420,b421,b422,b423,b424,b425
          ,b426,b427,b428,b429,b430,b431,b432,b433,b434,b435,b436,b437,b438
          ,b439,b440,b441,b442,b443,b444,b445,b446,b447,b448,b449,b450,b451
          ,b452,b453,b454,b455,b456,b457,b458,b459,b460,b461,b462,b463,b464
          ,b465,b466,b467,b468,b469,b470,b471,b472,b473,b474,b475,b476,b477
          ,b478,b479,b480,b481,b482,b483,b484,b485,b486,b487,b488,b489,b490
          ,b491,b492,b493,b494,b495,b496,b497,b498,b499,b500,b501,b502,b503
          ,b504,b505,b506,b507,b508,b509,b510,b511,b512,b513,b514,b515,b516
          ,b517,b518,b519,b520,b521,b522,b523,b524,b525,b526,b527,b528,b529
          ,b530,b531,b532,b533,b534,b535,b536,b537,b538,b539,b540,b541,b542
          ,b543,b544,b545,b546,b547,b548,b549,b550,b551,b552,b553,b554,b555
          ,b556,b557,b558,b559;

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;


e1..  - 914716.4*b154 - 1324944.8*b155 - 2550319.6*b156 - 3996076*b157
      - 8070480.4*b158 - 9265320.4*b159 - 14703170*b160 - 519574.9*b161
      - 752591.8*b162 - 1448626.1*b163 - 2269841*b164 - 4584173.9*b165
      - 5262863.9*b166 - 8351657.5*b167 - 825008.6*b168 - 1195005.2*b169
      - 2300205.4*b170 - 3604174*b171 - 7278994.6*b172 - 8356654.6*b173
      - 13261205*b174 - 1122863.3*b175 - 1626440.6*b176 - 3130653.7*b177
      - 4905397*b178 - 9906946.3*b179 - 11373676.3*b180 - 18048927.5*b181
      - 2154640.8*b182 - 3120945.6*b183 - 6007351.2*b184 - 9412872*b185
      - 19010248.8*b186 - 21824728.8*b187 - 34633740*b188 - 1359534.8*b189
      - 1969253.6*b190 - 3790517.2*b191 - 5939332*b192 - 11995082.8*b193
      - 13770962.8*b194 - 21853190*b195 - 1991830.1*b196 - 2885118.2*b197
      - 5553418.9*b198 - 8701609*b199 - 17573781.1*b200 - 20175591.1*b201
      - 32016717.5*b202 - 2317313.7*b203 - 3356573.4*b204 - 6460899.3*b205
      - 10123533*b206 - 20445500.7*b207 - 23472470.7*b208 - 37248547.5*b209
      - 533217.1*b210 - 772352.2*b211 - 1486661.9*b212 - 2329439*b213
      - 4704538.1*b214 - 5401048.1*b215 - 8570942.5*b216 - 935730.9*b217
      - 1355383.8*b218 - 2608910.1*b219 - 4087881*b220 - 8255889.9*b221
      - 9478179.9*b222 - 15040957.5*b223 - 1386681.4*b224 - 2008574.8*b225
      - 3866204.6*b226 - 6057926*b227 - 12234595.4*b228 - 14045935.4*b229
      - 22289545*b230 - 996707.4*b231 - 1443706.8*b232 - 2778918.6*b233
      - 4354266*b234 - 8793881.4*b235 - 10095821.4*b236 - 16021095*b237
      - 772851.3*b238 - 1119456.6*b239 - 2154785.7*b240 - 3376317*b241
      - 6818814.3*b242 - 7828344.3*b243 - 12422827.5*b244 - 1012554.4*b245
      - 1466660.8*b246 - 2823101.6*b247 - 4423496*b248 - 8933698.4*b249
      - 10256338.4*b250 - 16275820*b251 - 343259.8*b252 - 497203.6*b253
      - 957042.2*b254 - 1499582*b255 - 3028557.8*b256 - 3476937.8*b257
      - 5517565*b258 - 1120934.1*b259 - 1623646.2*b260 - 3125274.9*b261
      - 4896969*b262 - 9889925.1*b263 - 11354135.1*b264 - 18017917.5*b265
      - 573937*b266 - 831334*b267 - 1600193*b268 - 2507330*b269 - 5063807*b270
      - 5813507*b271 - 9225475*b272 - 365032.2*b273 - 528740.4*b274
      - 1017745.8*b275 - 1594698*b276 - 3220654.2*b277 - 3697474.2*b278
      - 5867535*b279 - 1404388.7*b280 - 2034223.4*b281 - 3915574.3*b282
      - 6135283*b283 - 12390825.7*b284 - 14225295.7*b285 - 22574172.5*b286
      - 774229.3*b287 - 1121452.6*b288 - 2158627.7*b289 - 3382337*b290
      - 6830972.3*b291 - 7842302.3*b292 - 12444977.5*b293 - 257272.6*b294
      - 372653.2*b295 - 717301.4*b296 - 1123934*b297 - 2269898.6*b298
      - 2605958.6*b299 - 4135405*b300 - 449159.1*b301 - 650596.2*b302
      - 1252299.9*b303 - 1962219*b304 - 3962900.1*b305 - 4549610.1*b306
      - 7219792.5*b307 - 1259629.8*b308 - 1824543.6*b309 - 3511972.2*b310
      - 5502882*b311 - 11113627.8*b312 - 12759007.8*b313 - 20247315*b314
      - 556849.8*b315 - 806583.6*b316 - 1552552.2*b317 - 2432682*b318
      - 4913047.8*b319 - 5640427.8*b320 - 8950815*b321 - 566978.1*b322
      - 821254.2*b323 - 1580790.9*b324 - 2476929*b325 - 5002409.1*b326
      - 5743019.1*b327 - 9113617.5*b328 - 937177.8*b329 - 1357479.6*b330
      - 2612944.2*b331 - 4094202*b332 - 8268655.8*b333 - 9492835.8*b334
      - 15064215*b335 - 2581545.2*b336 - 3739306.4*b337 - 7197602.8*b338
      - 11277868*b339 - 22776797.2*b340 - 26148917.2*b341 - 41495810*b342
      - 1616394*b343 - 2341308*b344 - 4506666*b345 - 7061460*b346
      - 14261334*b347 - 16372734*b348 - 25981950*b349 - 578484.4*b350
      - 837920.8*b351 - 1612871.6*b352 - 2527196*b353 - 5103928.4*b354
      - 5859568.4*b355 - 9298570*b356 - 686519.6*b357 - 994407.2*b358
      - 1914084.4*b359 - 2999164*b360 - 6057115.6*b361 - 6953875.6*b362
      - 11035130*b363 - 1709064.5*b364 - 2475539*b365 - 4765040.5*b366
      - 7466305*b367 - 15078959.5*b368 - 17311409.5*b369 - 27471537.5*b370
      - 749976.5*b371 - 1086323*b372 - 2091008.5*b373 - 3276385*b374
      - 6616991.5*b375 - 7596641.5*b376 - 12055137.5*b377 - 1447520.1*b378
      - 2096698.2*b379 - 4035828.9*b380 - 6323709*b381 - 12771371.1*b382
      - 14662181.1*b383 - 23267467.5*b384 - 1016757.3*b385 - 1472748.6*b386
      - 2834819.7*b387 - 4441857*b388 - 8970780.3*b389 - 10298910.3*b390
      - 16343377.5*b391 - 2349283.3*b392 - 3402880.6*b393 - 6550033.7*b394
      - 10263197*b395 - 20727566.3*b396 - 23796296.3*b397 - 37762427.5*b398
      - 715182*b399 - 1035924*b400 - 1993998*b401 - 3124380*b402 - 6310002*b403
      - 7244202*b404 - 11495850*b405 - 517301.2*b406 - 749298.4*b407
      - 1442286.8*b408 - 2259908*b409 - 4564113.2*b410 - 5239833.2*b411
      - 8315110*b412 - 913131.7*b413 - 1322649.4*b414 - 2545901.3*b415
      - 3989153*b416 - 8056498.7*b417 - 9249268.7*b418 - 14677697.5*b419
      - 1453445.5*b420 - 2105281*b421 - 4052349.5*b422 - 6349595*b423
      - 12823650.5*b424 - 14722200.5*b425 - 23362712.5*b426 - 1016206.1*b427
      - 1471950.2*b428 - 2833282.9*b429 - 4439449*b430 - 8965917.1*b431
      - 10293327.1*b432 - 16334517.5*b433 - 784082*b434 - 1135724*b435
      - 2186098*b436 - 3425380*b437 - 6917902*b438 - 7942102*b439
      - 12603350*b440 - 1242198.1*b441 - 1799294.2*b442 - 3463370.9*b443
      - 5426729*b444 - 10959829.1*b445 - 12582439.1*b446 - 19967117.5*b447
      - 683970.3*b448 - 990714.6*b449 - 1906976.7*b450 - 2988027*b451
      - 6034623.3*b452 - 6928053.3*b453 - 10994152.5*b454 - 1210710.8*b455
      - 1753685.6*b456 - 3375581.2*b457 - 5289172*b458 - 10682018.8*b459
      - 12263498.8*b460 - 19460990*b461 - 1026954.5*b462 - 1487519*b463
      - 2863250.5*b464 - 4486405*b465 - 9060749.5*b466 - 10402199.5*b467
      - 16507287.5*b468 - 390663*b469 - 565866*b470 - 1089207*b471
      - 1706670*b472 - 3446793*b473 - 3957093*b474 - 6279525*b475
      - 1481694.5*b476 - 2146199*b477 - 4131110.5*b478 - 6473005*b479
      - 13072889.5*b480 - 15008339.5*b481 - 23816787.5*b482 - 854911.2*b483
      - 1238318.4*b484 - 2383576.8*b485 - 3734808*b486 - 7542823.2*b487
      - 8659543.2*b488 - 13741860*b489 - 826593.3*b490 - 1197300.6*b491
      - 2304623.7*b492 - 3611097*b493 - 7292976.3*b494 - 8372706.3*b495
      - 13286677.5*b496 - 1249983.8*b497 - 1810571.6*b498 - 3485078.2*b499
      - 5460742*b500 - 11028521.8*b501 - 12661301.8*b502 - 20092265*b503
      - 412917.7*b504 - 598101.4*b505 - 1151255.3*b506 - 1803893*b507
      - 3643144.7*b508 - 4182514.7*b509 - 6637247.5*b510 - 540865*b511
      - 783430*b512 - 1507985*b513 - 2362850*b514 - 4772015*b515 - 5478515*b516
      - 8693875*b517 - 995191.6*b518 - 1441511.2*b519 - 2774692.4*b520
      - 4347644*b521 - 8780507.6*b522 - 10080467.6*b523 - 15996730*b524
      - 239358.6*b525 - 346705.2*b526 - 667355.4*b527 - 1045674*b528
      - 2111844.6*b529 - 2424504.6*b530 - 3847455*b531 - 1141466.3*b532
      - 1653386.6*b533 - 3182520.7*b534 - 4986667*b535 - 10071079.3*b536
      - 11562109.3*b537 - 18347952.5*b538 - 573041.3*b539 - 830036.6*b540
      - 1597695.7*b541 - 2503417*b542 - 5055904.3*b543 - 5804434.3*b544
      - 9211077.5*b545 - 1451998.6*b546 - 2103185.2*b547 - 4048315.4*b548
      - 6343274*b549 - 12810884.6*b550 - 14707544.6*b551 - 23339455*b552
      - 6890*b553 - 9980*b554 - 19210*b555 - 30100*b556 - 60790*b557
      - 69790*b558 - 110750*b559 + objvar =E= 0;

e2..    x38 + x39 - x94 - x95 =E= -0.00049;

e3..    x40 + x41 - x64 =E= -0.00104;

e4..  - x40 + x42 + x43 =E= -0.00102;

e5..  - x42 + x44 - x55 =E= -0.00081;

e6..  - x44 + x45 + x46 =E= -0.00063;

e7..  - x45 + x47 - x70 =E= -0.00079;

e8..  - x47 + x48 - x72 =E= -0.00026;

e9..    x49 - x75 - x77 =E= -0.00058;

e10..    x50 - x81 - x85 =E= -0.00054;

e11..    x51 + x52 - x66 - x87 =E= -0.00111;

e12..  - x43 - x51 + x53 + x54 =E= -0.00175;

e13..    x55 + x56 - x67 =E= -0.00091;

e14..  - x46 - x56 + x57 =E= -0.00116;

e15..  - x57 + x58 + x59 =E= -0.00054;

e16..    x60 + x61 - x69 - x78 =E= -0.0011;

e17..  - x60 + x62 + x63 - x80 =E= -0.00121;

e18..  - x38 + x64 + x65 =E= -0.00127;

e19..  - x41 - x65 + x66 =E= -0.00202;

e20..  - x53 + x67 + x68 =E= -0.00188;

e21..  - x58 - x68 + x69 =E= -0.00093;

e22..  - x59 + x70 + x71 =E= -0.00096;

e23..  - x61 - x71 + x72 + x73 =E= -0.00097;

e24..  - x73 + x74 - x76 =E= -0.00086;

e25..  - x48 + x75 + x76 =E= -0.00067;

e26..  - x62 - x74 + x77 =E= -0.00077;

e27..  - x54 + x78 + x79 =E= -0.00169;

e28..  - x79 + x80 - x89 =E= -0.00142;

e29..  - x49 + x81 + x82 =E= -0.0003;

e30..  - x63 - x82 + x83 + x84 =E= -0.00062;

e31..  - x83 + x85 + x86 =E= -0.00054;

e32..  - x39 + x87 + x88 =E= -0.0009;

e33..  - x52 + x89 + x90 =E= -0.00103;

e34..  - x84 - x90 + x91 =E= -0.00077;

e35..  - x88 - x91 + x92 =E= -0.00074;

e36..  - x86 - x92 + x93 =E= -0.00116;

e37..  - x50 - x93 + x94 =E= -0.00047;

e38.. SignPower(x38,1.852) - 3.56081145657482*(1.27323954473516*x96)**2.435*(x1
       - x17) =E= 0;

e39.. SignPower(x39,1.852) - 6.26884138675074*(1.27323954473516*x97)**2.435*(x1
       - x31) =E= 0;

e40.. SignPower(x40,1.852) - 3.94799840466739*(1.27323954473516*x98)**2.435*(x2
       - x3) =E= 0;

e41.. SignPower(x41,1.852) - 2.9007383504625*(1.27323954473516*x99)**2.435*(x2
       - x18) =E= 0;

e42.. SignPower(x42,1.852) - 1.51168242829008*(1.27323954473516*x100)**2.435*(
      x3 - x4) =E= 0;

e43.. SignPower(x43,1.852) - 2.39576996237013*(1.27323954473516*x101)**2.435*(
      x3 - x11) =E= 0;

e44.. SignPower(x44,1.852) - 1.63524621735402*(1.27323954473516*x102)**2.435*(
      x4 - x5) =E= 0;

e45.. SignPower(x45,1.852) - 1.40556396686253*(1.27323954473516*x103)**2.435*(
      x5 - x6) =E= 0;

e46.. SignPower(x46,1.852) - 6.10845495509592*(1.27323954473516*x104)**2.435*(
      x5 - x13) =E= 0;

e47.. SignPower(x47,1.852) - 3.48084330295909*(1.27323954473516*x105)**2.435*(
      x6 - x7) =E= 0;

e48.. SignPower(x48,1.852) - 2.3488687716132*(1.27323954473516*x106)**2.435*(x7
       - x24) =E= 0;

e49.. SignPower(x49,1.852) - 3.26789249948067*(1.27323954473516*x107)**2.435*(
      x8 - x28) =E= 0;

e50.. SignPower(x50,1.852) - 4.2144363820529*(1.27323954473516*x108)**2.435*(x9
       - x36) =E= 0;

e51.. SignPower(x51,1.852) - 3.21674829188128*(1.27323954473516*x109)**2.435*(
      x10 - x11) =E= 0;

e52.. SignPower(x52,1.852) - 9.48882635437321*(1.27323954473516*x110)**2.435*(
      x10 - x32) =E= 0;

e53.. SignPower(x53,1.852) - 2.90573070855537*(1.27323954473516*x111)**2.435*(
      x11 - x19) =E= 0;

e54.. SignPower(x54,1.852) - 5.67506997568876*(1.27323954473516*x112)**2.435*(
      x11 - x26) =E= 0;

e55.. SignPower(x55,1.852) - 8.92286389156047*(1.27323954473516*x113)**2.435*(
      x12 - x4) =E= 0;

e56.. SignPower(x56,1.852) - 2.3192529508653*(1.27323954473516*x114)**2.435*(
      x12 - x13) =E= 0;

e57.. SignPower(x57,1.852) - 4.20693538288577*(1.27323954473516*x115)**2.435*(
      x13 - x14) =E= 0;

e58.. SignPower(x58,1.852) - 12.6602391262687*(1.27323954473516*x116)**2.435*(
      x14 - x20) =E= 0;

e59.. SignPower(x59,1.852) - 7.25162339277303*(1.27323954473516*x117)**2.435*(
      x14 - x21) =E= 0;

e60.. SignPower(x60,1.852) - 2.58578563053754*(1.27323954473516*x118)**2.435*(
      x15 - x16) =E= 0;

e61.. SignPower(x61,1.852) - 5.84921218726644*(1.27323954473516*x119)**2.435*(
      x15 - x22) =E= 0;

e62.. SignPower(x62,1.852) - 5.74472389081144*(1.27323954473516*x120)**2.435*(
      x16 - x25) =E= 0;

e63.. SignPower(x63,1.852) - 3.47546926168853*(1.27323954473516*x121)**2.435*(
      x16 - x29) =E= 0;

e64.. SignPower(x64,1.852) - 1.26169886029378*(1.27323954473516*x122)**2.435*(
      x17 - x2) =E= 0;

e65.. SignPower(x65,1.852) - 2.01506107832427*(1.27323954473516*x123)**2.435*(
      x17 - x18) =E= 0;

e66.. SignPower(x66,1.852) - 5.63045889679459*(1.27323954473516*x124)**2.435*(
      x18 - x10) =E= 0;

e67.. SignPower(x67,1.852) - 4.74441317718661*(1.27323954473516*x125)**2.435*(
      x19 - x12) =E= 0;

e68.. SignPower(x68,1.852) - 1.90579854454696*(1.27323954473516*x126)**2.435*(
      x19 - x20) =E= 0;

e69.. SignPower(x69,1.852) - 4.34297959554316*(1.27323954473516*x127)**2.435*(
      x20 - x15) =E= 0;

e70.. SignPower(x70,1.852) - 2.25014674175293*(1.27323954473516*x128)**2.435*(
      x21 - x6) =E= 0;

e71.. SignPower(x71,1.852) - 3.20345143982431*(1.27323954473516*x129)**2.435*(
      x21 - x22) =E= 0;

e72.. SignPower(x72,1.852) - 1.38643672163203*(1.27323954473516*x130)**2.435*(
      x22 - x7) =E= 0;

e73.. SignPower(x73,1.852) - 4.5542709920508*(1.27323954473516*x131)**2.435*(
      x22 - x23) =E= 0;

e74.. SignPower(x74,1.852) - 6.29639489843998*(1.27323954473516*x132)**2.435*(
      x23 - x25) =E= 0;

e75.. SignPower(x75,1.852) - 3.56699108862049*(1.27323954473516*x133)**2.435*(
      x24 - x8) =E= 0;

e76.. SignPower(x76,1.852) - 2.24097335375622*(1.27323954473516*x134)**2.435*(
      x24 - x23) =E= 0;

e77.. SignPower(x77,1.852) - 3.20518902281425*(1.27323954473516*x135)**2.435*(
      x25 - x8) =E= 0;

e78.. SignPower(x78,1.852) - 4.15407143211664*(1.27323954473516*x136)**2.435*(
      x26 - x15) =E= 0;

e79.. SignPower(x79,1.852) - 2.62207182303441*(1.27323954473516*x137)**2.435*(
      x26 - x27) =E= 0;

e80.. SignPower(x80,1.852) - 4.76209659489144*(1.27323954473516*x138)**2.435*(
      x27 - x16) =E= 0;

e81.. SignPower(x81,1.852) - 2.69026479043292*(1.27323954473516*x139)**2.435*(
      x28 - x9) =E= 0;

e82.. SignPower(x82,1.852) - 3.17164259627557*(1.27323954473516*x140)**2.435*(
      x28 - x29) =E= 0;

e83.. SignPower(x83,1.852) - 8.337448482802*(1.27323954473516*x141)**2.435*(x29
       - x30) =E= 0;

e84.. SignPower(x84,1.852) - 2.19824844908102*(1.27323954473516*x142)**2.435*(
      x29 - x33) =E= 0;

e85.. SignPower(x85,1.852) - 3.80990755137712*(1.27323954473516*x143)**2.435*(
      x30 - x9) =E= 0;

e86.. SignPower(x86,1.852) - 3.94042951550282*(1.27323954473516*x144)**2.435*(
      x30 - x35) =E= 0;

e87.. SignPower(x87,1.852) - 2.60573987969834*(1.27323954473516*x145)**2.435*(
      x31 - x10) =E= 0;

e88.. SignPower(x88,1.852) - 7.88809158976929*(1.27323954473516*x146)**2.435*(
      x31 - x34) =E= 0;

e89.. SignPower(x89,1.852) - 6.02208062388374*(1.27323954473516*x147)**2.435*(
      x32 - x27) =E= 0;

e90.. SignPower(x90,1.852) - 3.27286990428464*(1.27323954473516*x148)**2.435*(
      x32 - x33) =E= 0;

e91.. SignPower(x91,1.852) - 13.6077527050913*(1.27323954473516*x149)**2.435*(
      x33 - x34) =E= 0;

e92.. SignPower(x92,1.852) - 2.85346368669568*(1.27323954473516*x150)**2.435*(
      x34 - x35) =E= 0;

e93.. SignPower(x93,1.852) - 5.68394047102168*(1.27323954473516*x151)**2.435*(
      x35 - x36) =E= 0;

e94.. SignPower(x94,1.852) - 2.2432064580757*(1.27323954473516*x152)**2.435*(
      x36 - x1) =E= 0;

e95.. SignPower(x95,1.852) - 472.733328974874*(1.27323954473516*x153)**2.435*(
      x37 - x1) =E= 0;

e96..    x38 - x96 =L= 0;

e97..    x39 - x97 =L= 0;

e98..    x40 - x98 =L= 0;

e99..    x41 - x99 =L= 0;

e100..    x42 - x100 =L= 0;

e101..    x43 - x101 =L= 0;

e102..    x44 - x102 =L= 0;

e103..    x45 - x103 =L= 0;

e104..    x46 - x104 =L= 0;

e105..    x47 - x105 =L= 0;

e106..    x48 - x106 =L= 0;

e107..    x49 - x107 =L= 0;

e108..    x50 - x108 =L= 0;

e109..    x51 - x109 =L= 0;

e110..    x52 - x110 =L= 0;

e111..    x53 - x111 =L= 0;

e112..    x54 - x112 =L= 0;

e113..    x55 - x113 =L= 0;

e114..    x56 - x114 =L= 0;

e115..    x57 - x115 =L= 0;

e116..    x58 - x116 =L= 0;

e117..    x59 - x117 =L= 0;

e118..    x60 - x118 =L= 0;

e119..    x61 - x119 =L= 0;

e120..    x62 - x120 =L= 0;

e121..    x63 - x121 =L= 0;

e122..    x64 - x122 =L= 0;

e123..    x65 - x123 =L= 0;

e124..    x66 - x124 =L= 0;

e125..    x67 - x125 =L= 0;

e126..    x68 - x126 =L= 0;

e127..    x69 - x127 =L= 0;

e128..    x70 - x128 =L= 0;

e129..    x71 - x129 =L= 0;

e130..    x72 - x130 =L= 0;

e131..    x73 - x131 =L= 0;

e132..    x74 - x132 =L= 0;

e133..    x75 - x133 =L= 0;

e134..    x76 - x134 =L= 0;

e135..    x77 - x135 =L= 0;

e136..    x78 - x136 =L= 0;

e137..    x79 - x137 =L= 0;

e138..    x80 - x138 =L= 0;

e139..    x81 - x139 =L= 0;

e140..    x82 - x140 =L= 0;

e141..    x83 - x141 =L= 0;

e142..    x84 - x142 =L= 0;

e143..    x85 - x143 =L= 0;

e144..    x86 - x144 =L= 0;

e145..    x87 - x145 =L= 0;

e146..    x88 - x146 =L= 0;

e147..    x89 - x147 =L= 0;

e148..    x90 - x148 =L= 0;

e149..    x91 - x149 =L= 0;

e150..    x92 - x150 =L= 0;

e151..    x93 - x151 =L= 0;

e152..    x94 - x152 =L= 0;

e153..    x95 - x153 =L= 0;

e154..    x38 + x96 =G= 0;

e155..    x39 + x97 =G= 0;

e156..    x40 + x98 =G= 0;

e157..    x41 + x99 =G= 0;

e158..    x42 + x100 =G= 0;

e159..    x43 + x101 =G= 0;

e160..    x44 + x102 =G= 0;

e161..    x45 + x103 =G= 0;

e162..    x46 + x104 =G= 0;

e163..    x47 + x105 =G= 0;

e164..    x48 + x106 =G= 0;

e165..    x49 + x107 =G= 0;

e166..    x50 + x108 =G= 0;

e167..    x51 + x109 =G= 0;

e168..    x52 + x110 =G= 0;

e169..    x53 + x111 =G= 0;

e170..    x54 + x112 =G= 0;

e171..    x55 + x113 =G= 0;

e172..    x56 + x114 =G= 0;

e173..    x57 + x115 =G= 0;

e174..    x58 + x116 =G= 0;

e175..    x59 + x117 =G= 0;

e176..    x60 + x118 =G= 0;

e177..    x61 + x119 =G= 0;

e178..    x62 + x120 =G= 0;

e179..    x63 + x121 =G= 0;

e180..    x64 + x122 =G= 0;

e181..    x65 + x123 =G= 0;

e182..    x66 + x124 =G= 0;

e183..    x67 + x125 =G= 0;

e184..    x68 + x126 =G= 0;

e185..    x69 + x127 =G= 0;

e186..    x70 + x128 =G= 0;

e187..    x71 + x129 =G= 0;

e188..    x72 + x130 =G= 0;

e189..    x73 + x131 =G= 0;

e190..    x74 + x132 =G= 0;

e191..    x75 + x133 =G= 0;

e192..    x76 + x134 =G= 0;

e193..    x77 + x135 =G= 0;

e194..    x78 + x136 =G= 0;

e195..    x79 + x137 =G= 0;

e196..    x80 + x138 =G= 0;

e197..    x81 + x139 =G= 0;

e198..    x82 + x140 =G= 0;

e199..    x83 + x141 =G= 0;

e200..    x84 + x142 =G= 0;

e201..    x85 + x143 =G= 0;

e202..    x86 + x144 =G= 0;

e203..    x87 + x145 =G= 0;

e204..    x88 + x146 =G= 0;

e205..    x89 + x147 =G= 0;

e206..    x90 + x148 =G= 0;

e207..    x91 + x149 =G= 0;

e208..    x92 + x150 =G= 0;

e209..    x93 + x151 =G= 0;

e210..    x94 + x152 =G= 0;

e211..    x95 + x153 =G= 0;

e212..    x96 - 0.00282743338823081*b154 - 0.00502654824574367*b155
        - 0.0122718463030851*b156 - 0.0176714586764426*b157
        - 0.0314159265358979*b158 - 0.0490873852123405*b159
        - 0.0706858347057703*b160 =E= 0;

e213..    x97 - 0.00282743338823081*b161 - 0.00502654824574367*b162
        - 0.0122718463030851*b163 - 0.0176714586764426*b164
        - 0.0314159265358979*b165 - 0.0490873852123405*b166
        - 0.0706858347057703*b167 =E= 0;

e214..    x98 - 0.00282743338823081*b168 - 0.00502654824574367*b169
        - 0.0122718463030851*b170 - 0.0176714586764426*b171
        - 0.0314159265358979*b172 - 0.0490873852123405*b173
        - 0.0706858347057703*b174 =E= 0;

e215..    x99 - 0.00282743338823081*b175 - 0.00502654824574367*b176
        - 0.0122718463030851*b177 - 0.0176714586764426*b178
        - 0.0314159265358979*b179 - 0.0490873852123405*b180
        - 0.0706858347057703*b181 =E= 0;

e216..    x100 - 0.00282743338823081*b182 - 0.00502654824574367*b183
        - 0.0122718463030851*b184 - 0.0176714586764426*b185
        - 0.0314159265358979*b186 - 0.0490873852123405*b187
        - 0.0706858347057703*b188 =E= 0;

e217..    x101 - 0.00282743338823081*b189 - 0.00502654824574367*b190
        - 0.0122718463030851*b191 - 0.0176714586764426*b192
        - 0.0314159265358979*b193 - 0.0490873852123405*b194
        - 0.0706858347057703*b195 =E= 0;

e218..    x102 - 0.00282743338823081*b196 - 0.00502654824574367*b197
        - 0.0122718463030851*b198 - 0.0176714586764426*b199
        - 0.0314159265358979*b200 - 0.0490873852123405*b201
        - 0.0706858347057703*b202 =E= 0;

e219..    x103 - 0.00282743338823081*b203 - 0.00502654824574367*b204
        - 0.0122718463030851*b205 - 0.0176714586764426*b206
        - 0.0314159265358979*b207 - 0.0490873852123405*b208
        - 0.0706858347057703*b209 =E= 0;

e220..    x104 - 0.00282743338823081*b210 - 0.00502654824574367*b211
        - 0.0122718463030851*b212 - 0.0176714586764426*b213
        - 0.0314159265358979*b214 - 0.0490873852123405*b215
        - 0.0706858347057703*b216 =E= 0;

e221..    x105 - 0.00282743338823081*b217 - 0.00502654824574367*b218
        - 0.0122718463030851*b219 - 0.0176714586764426*b220
        - 0.0314159265358979*b221 - 0.0490873852123405*b222
        - 0.0706858347057703*b223 =E= 0;

e222..    x106 - 0.00282743338823081*b224 - 0.00502654824574367*b225
        - 0.0122718463030851*b226 - 0.0176714586764426*b227
        - 0.0314159265358979*b228 - 0.0490873852123405*b229
        - 0.0706858347057703*b230 =E= 0;

e223..    x107 - 0.00282743338823081*b231 - 0.00502654824574367*b232
        - 0.0122718463030851*b233 - 0.0176714586764426*b234
        - 0.0314159265358979*b235 - 0.0490873852123405*b236
        - 0.0706858347057703*b237 =E= 0;

e224..    x108 - 0.00282743338823081*b238 - 0.00502654824574367*b239
        - 0.0122718463030851*b240 - 0.0176714586764426*b241
        - 0.0314159265358979*b242 - 0.0490873852123405*b243
        - 0.0706858347057703*b244 =E= 0;

e225..    x109 - 0.00282743338823081*b245 - 0.00502654824574367*b246
        - 0.0122718463030851*b247 - 0.0176714586764426*b248
        - 0.0314159265358979*b249 - 0.0490873852123405*b250
        - 0.0706858347057703*b251 =E= 0;

e226..    x110 - 0.00282743338823081*b252 - 0.00502654824574367*b253
        - 0.0122718463030851*b254 - 0.0176714586764426*b255
        - 0.0314159265358979*b256 - 0.0490873852123405*b257
        - 0.0706858347057703*b258 =E= 0;

e227..    x111 - 0.00282743338823081*b259 - 0.00502654824574367*b260
        - 0.0122718463030851*b261 - 0.0176714586764426*b262
        - 0.0314159265358979*b263 - 0.0490873852123405*b264
        - 0.0706858347057703*b265 =E= 0;

e228..    x112 - 0.00282743338823081*b266 - 0.00502654824574367*b267
        - 0.0122718463030851*b268 - 0.0176714586764426*b269
        - 0.0314159265358979*b270 - 0.0490873852123405*b271
        - 0.0706858347057703*b272 =E= 0;

e229..    x113 - 0.00282743338823081*b273 - 0.00502654824574367*b274
        - 0.0122718463030851*b275 - 0.0176714586764426*b276
        - 0.0314159265358979*b277 - 0.0490873852123405*b278
        - 0.0706858347057703*b279 =E= 0;

e230..    x114 - 0.00282743338823081*b280 - 0.00502654824574367*b281
        - 0.0122718463030851*b282 - 0.0176714586764426*b283
        - 0.0314159265358979*b284 - 0.0490873852123405*b285
        - 0.0706858347057703*b286 =E= 0;

e231..    x115 - 0.00282743338823081*b287 - 0.00502654824574367*b288
        - 0.0122718463030851*b289 - 0.0176714586764426*b290
        - 0.0314159265358979*b291 - 0.0490873852123405*b292
        - 0.0706858347057703*b293 =E= 0;

e232..    x116 - 0.00282743338823081*b294 - 0.00502654824574367*b295
        - 0.0122718463030851*b296 - 0.0176714586764426*b297
        - 0.0314159265358979*b298 - 0.0490873852123405*b299
        - 0.0706858347057703*b300 =E= 0;

e233..    x117 - 0.00282743338823081*b301 - 0.00502654824574367*b302
        - 0.0122718463030851*b303 - 0.0176714586764426*b304
        - 0.0314159265358979*b305 - 0.0490873852123405*b306
        - 0.0706858347057703*b307 =E= 0;

e234..    x118 - 0.00282743338823081*b308 - 0.00502654824574367*b309
        - 0.0122718463030851*b310 - 0.0176714586764426*b311
        - 0.0314159265358979*b312 - 0.0490873852123405*b313
        - 0.0706858347057703*b314 =E= 0;

e235..    x119 - 0.00282743338823081*b315 - 0.00502654824574367*b316
        - 0.0122718463030851*b317 - 0.0176714586764426*b318
        - 0.0314159265358979*b319 - 0.0490873852123405*b320
        - 0.0706858347057703*b321 =E= 0;

e236..    x120 - 0.00282743338823081*b322 - 0.00502654824574367*b323
        - 0.0122718463030851*b324 - 0.0176714586764426*b325
        - 0.0314159265358979*b326 - 0.0490873852123405*b327
        - 0.0706858347057703*b328 =E= 0;

e237..    x121 - 0.00282743338823081*b329 - 0.00502654824574367*b330
        - 0.0122718463030851*b331 - 0.0176714586764426*b332
        - 0.0314159265358979*b333 - 0.0490873852123405*b334
        - 0.0706858347057703*b335 =E= 0;

e238..    x122 - 0.00282743338823081*b336 - 0.00502654824574367*b337
        - 0.0122718463030851*b338 - 0.0176714586764426*b339
        - 0.0314159265358979*b340 - 0.0490873852123405*b341
        - 0.0706858347057703*b342 =E= 0;

e239..    x123 - 0.00282743338823081*b343 - 0.00502654824574367*b344
        - 0.0122718463030851*b345 - 0.0176714586764426*b346
        - 0.0314159265358979*b347 - 0.0490873852123405*b348
        - 0.0706858347057703*b349 =E= 0;

e240..    x124 - 0.00282743338823081*b350 - 0.00502654824574367*b351
        - 0.0122718463030851*b352 - 0.0176714586764426*b353
        - 0.0314159265358979*b354 - 0.0490873852123405*b355
        - 0.0706858347057703*b356 =E= 0;

e241..    x125 - 0.00282743338823081*b357 - 0.00502654824574367*b358
        - 0.0122718463030851*b359 - 0.0176714586764426*b360
        - 0.0314159265358979*b361 - 0.0490873852123405*b362
        - 0.0706858347057703*b363 =E= 0;

e242..    x126 - 0.00282743338823081*b364 - 0.00502654824574367*b365
        - 0.0122718463030851*b366 - 0.0176714586764426*b367
        - 0.0314159265358979*b368 - 0.0490873852123405*b369
        - 0.0706858347057703*b370 =E= 0;

e243..    x127 - 0.00282743338823081*b371 - 0.00502654824574367*b372
        - 0.0122718463030851*b373 - 0.0176714586764426*b374
        - 0.0314159265358979*b375 - 0.0490873852123405*b376
        - 0.0706858347057703*b377 =E= 0;

e244..    x128 - 0.00282743338823081*b378 - 0.00502654824574367*b379
        - 0.0122718463030851*b380 - 0.0176714586764426*b381
        - 0.0314159265358979*b382 - 0.0490873852123405*b383
        - 0.0706858347057703*b384 =E= 0;

e245..    x129 - 0.00282743338823081*b385 - 0.00502654824574367*b386
        - 0.0122718463030851*b387 - 0.0176714586764426*b388
        - 0.0314159265358979*b389 - 0.0490873852123405*b390
        - 0.0706858347057703*b391 =E= 0;

e246..    x130 - 0.00282743338823081*b392 - 0.00502654824574367*b393
        - 0.0122718463030851*b394 - 0.0176714586764426*b395
        - 0.0314159265358979*b396 - 0.0490873852123405*b397
        - 0.0706858347057703*b398 =E= 0;

e247..    x131 - 0.00282743338823081*b399 - 0.00502654824574367*b400
        - 0.0122718463030851*b401 - 0.0176714586764426*b402
        - 0.0314159265358979*b403 - 0.0490873852123405*b404
        - 0.0706858347057703*b405 =E= 0;

e248..    x132 - 0.00282743338823081*b406 - 0.00502654824574367*b407
        - 0.0122718463030851*b408 - 0.0176714586764426*b409
        - 0.0314159265358979*b410 - 0.0490873852123405*b411
        - 0.0706858347057703*b412 =E= 0;

e249..    x133 - 0.00282743338823081*b413 - 0.00502654824574367*b414
        - 0.0122718463030851*b415 - 0.0176714586764426*b416
        - 0.0314159265358979*b417 - 0.0490873852123405*b418
        - 0.0706858347057703*b419 =E= 0;

e250..    x134 - 0.00282743338823081*b420 - 0.00502654824574367*b421
        - 0.0122718463030851*b422 - 0.0176714586764426*b423
        - 0.0314159265358979*b424 - 0.0490873852123405*b425
        - 0.0706858347057703*b426 =E= 0;

e251..    x135 - 0.00282743338823081*b427 - 0.00502654824574367*b428
        - 0.0122718463030851*b429 - 0.0176714586764426*b430
        - 0.0314159265358979*b431 - 0.0490873852123405*b432
        - 0.0706858347057703*b433 =E= 0;

e252..    x136 - 0.00282743338823081*b434 - 0.00502654824574367*b435
        - 0.0122718463030851*b436 - 0.0176714586764426*b437
        - 0.0314159265358979*b438 - 0.0490873852123405*b439
        - 0.0706858347057703*b440 =E= 0;

e253..    x137 - 0.00282743338823081*b441 - 0.00502654824574367*b442
        - 0.0122718463030851*b443 - 0.0176714586764426*b444
        - 0.0314159265358979*b445 - 0.0490873852123405*b446
        - 0.0706858347057703*b447 =E= 0;

e254..    x138 - 0.00282743338823081*b448 - 0.00502654824574367*b449
        - 0.0122718463030851*b450 - 0.0176714586764426*b451
        - 0.0314159265358979*b452 - 0.0490873852123405*b453
        - 0.0706858347057703*b454 =E= 0;

e255..    x139 - 0.00282743338823081*b455 - 0.00502654824574367*b456
        - 0.0122718463030851*b457 - 0.0176714586764426*b458
        - 0.0314159265358979*b459 - 0.0490873852123405*b460
        - 0.0706858347057703*b461 =E= 0;

e256..    x140 - 0.00282743338823081*b462 - 0.00502654824574367*b463
        - 0.0122718463030851*b464 - 0.0176714586764426*b465
        - 0.0314159265358979*b466 - 0.0490873852123405*b467
        - 0.0706858347057703*b468 =E= 0;

e257..    x141 - 0.00282743338823081*b469 - 0.00502654824574367*b470
        - 0.0122718463030851*b471 - 0.0176714586764426*b472
        - 0.0314159265358979*b473 - 0.0490873852123405*b474
        - 0.0706858347057703*b475 =E= 0;

e258..    x142 - 0.00282743338823081*b476 - 0.00502654824574367*b477
        - 0.0122718463030851*b478 - 0.0176714586764426*b479
        - 0.0314159265358979*b480 - 0.0490873852123405*b481
        - 0.0706858347057703*b482 =E= 0;

e259..    x143 - 0.00282743338823081*b483 - 0.00502654824574367*b484
        - 0.0122718463030851*b485 - 0.0176714586764426*b486
        - 0.0314159265358979*b487 - 0.0490873852123405*b488
        - 0.0706858347057703*b489 =E= 0;

e260..    x144 - 0.00282743338823081*b490 - 0.00502654824574367*b491
        - 0.0122718463030851*b492 - 0.0176714586764426*b493
        - 0.0314159265358979*b494 - 0.0490873852123405*b495
        - 0.0706858347057703*b496 =E= 0;

e261..    x145 - 0.00282743338823081*b497 - 0.00502654824574367*b498
        - 0.0122718463030851*b499 - 0.0176714586764426*b500
        - 0.0314159265358979*b501 - 0.0490873852123405*b502
        - 0.0706858347057703*b503 =E= 0;

e262..    x146 - 0.00282743338823081*b504 - 0.00502654824574367*b505
        - 0.0122718463030851*b506 - 0.0176714586764426*b507
        - 0.0314159265358979*b508 - 0.0490873852123405*b509
        - 0.0706858347057703*b510 =E= 0;

e263..    x147 - 0.00282743338823081*b511 - 0.00502654824574367*b512
        - 0.0122718463030851*b513 - 0.0176714586764426*b514
        - 0.0314159265358979*b515 - 0.0490873852123405*b516
        - 0.0706858347057703*b517 =E= 0;

e264..    x148 - 0.00282743338823081*b518 - 0.00502654824574367*b519
        - 0.0122718463030851*b520 - 0.0176714586764426*b521
        - 0.0314159265358979*b522 - 0.0490873852123405*b523
        - 0.0706858347057703*b524 =E= 0;

e265..    x149 - 0.00282743338823081*b525 - 0.00502654824574367*b526
        - 0.0122718463030851*b527 - 0.0176714586764426*b528
        - 0.0314159265358979*b529 - 0.0490873852123405*b530
        - 0.0706858347057703*b531 =E= 0;

e266..    x150 - 0.00282743338823081*b532 - 0.00502654824574367*b533
        - 0.0122718463030851*b534 - 0.0176714586764426*b535
        - 0.0314159265358979*b536 - 0.0490873852123405*b537
        - 0.0706858347057703*b538 =E= 0;

e267..    x151 - 0.00282743338823081*b539 - 0.00502654824574367*b540
        - 0.0122718463030851*b541 - 0.0176714586764426*b542
        - 0.0314159265358979*b543 - 0.0490873852123405*b544
        - 0.0706858347057703*b545 =E= 0;

e268..    x152 - 0.00282743338823081*b546 - 0.00502654824574367*b547
        - 0.0122718463030851*b548 - 0.0176714586764426*b549
        - 0.0314159265358979*b550 - 0.0490873852123405*b551
        - 0.0706858347057703*b552 =E= 0;

e269..    x153 - 0.00282743338823081*b553 - 0.00502654824574367*b554
        - 0.0122718463030851*b555 - 0.0176714586764426*b556
        - 0.0314159265358979*b557 - 0.0490873852123405*b558
        - 0.0706858347057703*b559 =E= 0;

e270..    b154 + b155 + b156 + b157 + b158 + b159 + b160 =E= 1;

e271..    b161 + b162 + b163 + b164 + b165 + b166 + b167 =E= 1;

e272..    b168 + b169 + b170 + b171 + b172 + b173 + b174 =E= 1;

e273..    b175 + b176 + b177 + b178 + b179 + b180 + b181 =E= 1;

e274..    b182 + b183 + b184 + b185 + b186 + b187 + b188 =E= 1;

e275..    b189 + b190 + b191 + b192 + b193 + b194 + b195 =E= 1;

e276..    b196 + b197 + b198 + b199 + b200 + b201 + b202 =E= 1;

e277..    b203 + b204 + b205 + b206 + b207 + b208 + b209 =E= 1;

e278..    b210 + b211 + b212 + b213 + b214 + b215 + b216 =E= 1;

e279..    b217 + b218 + b219 + b220 + b221 + b222 + b223 =E= 1;

e280..    b224 + b225 + b226 + b227 + b228 + b229 + b230 =E= 1;

e281..    b231 + b232 + b233 + b234 + b235 + b236 + b237 =E= 1;

e282..    b238 + b239 + b240 + b241 + b242 + b243 + b244 =E= 1;

e283..    b245 + b246 + b247 + b248 + b249 + b250 + b251 =E= 1;

e284..    b252 + b253 + b254 + b255 + b256 + b257 + b258 =E= 1;

e285..    b259 + b260 + b261 + b262 + b263 + b264 + b265 =E= 1;

e286..    b266 + b267 + b268 + b269 + b270 + b271 + b272 =E= 1;

e287..    b273 + b274 + b275 + b276 + b277 + b278 + b279 =E= 1;

e288..    b280 + b281 + b282 + b283 + b284 + b285 + b286 =E= 1;

e289..    b287 + b288 + b289 + b290 + b291 + b292 + b293 =E= 1;

e290..    b294 + b295 + b296 + b297 + b298 + b299 + b300 =E= 1;

e291..    b301 + b302 + b303 + b304 + b305 + b306 + b307 =E= 1;

e292..    b308 + b309 + b310 + b311 + b312 + b313 + b314 =E= 1;

e293..    b315 + b316 + b317 + b318 + b319 + b320 + b321 =E= 1;

e294..    b322 + b323 + b324 + b325 + b326 + b327 + b328 =E= 1;

e295..    b329 + b330 + b331 + b332 + b333 + b334 + b335 =E= 1;

e296..    b336 + b337 + b338 + b339 + b340 + b341 + b342 =E= 1;

e297..    b343 + b344 + b345 + b346 + b347 + b348 + b349 =E= 1;

e298..    b350 + b351 + b352 + b353 + b354 + b355 + b356 =E= 1;

e299..    b357 + b358 + b359 + b360 + b361 + b362 + b363 =E= 1;

e300..    b364 + b365 + b366 + b367 + b368 + b369 + b370 =E= 1;

e301..    b371 + b372 + b373 + b374 + b375 + b376 + b377 =E= 1;

e302..    b378 + b379 + b380 + b381 + b382 + b383 + b384 =E= 1;

e303..    b385 + b386 + b387 + b388 + b389 + b390 + b391 =E= 1;

e304..    b392 + b393 + b394 + b395 + b396 + b397 + b398 =E= 1;

e305..    b399 + b400 + b401 + b402 + b403 + b404 + b405 =E= 1;

e306..    b406 + b407 + b408 + b409 + b410 + b411 + b412 =E= 1;

e307..    b413 + b414 + b415 + b416 + b417 + b418 + b419 =E= 1;

e308..    b420 + b421 + b422 + b423 + b424 + b425 + b426 =E= 1;

e309..    b427 + b428 + b429 + b430 + b431 + b432 + b433 =E= 1;

e310..    b434 + b435 + b436 + b437 + b438 + b439 + b440 =E= 1;

e311..    b441 + b442 + b443 + b444 + b445 + b446 + b447 =E= 1;

e312..    b448 + b449 + b450 + b451 + b452 + b453 + b454 =E= 1;

e313..    b455 + b456 + b457 + b458 + b459 + b460 + b461 =E= 1;

e314..    b462 + b463 + b464 + b465 + b466 + b467 + b468 =E= 1;

e315..    b469 + b470 + b471 + b472 + b473 + b474 + b475 =E= 1;

e316..    b476 + b477 + b478 + b479 + b480 + b481 + b482 =E= 1;

e317..    b483 + b484 + b485 + b486 + b487 + b488 + b489 =E= 1;

e318..    b490 + b491 + b492 + b493 + b494 + b495 + b496 =E= 1;

e319..    b497 + b498 + b499 + b500 + b501 + b502 + b503 =E= 1;

e320..    b504 + b505 + b506 + b507 + b508 + b509 + b510 =E= 1;

e321..    b511 + b512 + b513 + b514 + b515 + b516 + b517 =E= 1;

e322..    b518 + b519 + b520 + b521 + b522 + b523 + b524 =E= 1;

e323..    b525 + b526 + b527 + b528 + b529 + b530 + b531 =E= 1;

e324..    b532 + b533 + b534 + b535 + b536 + b537 + b538 =E= 1;

e325..    b539 + b540 + b541 + b542 + b543 + b544 + b545 =E= 1;

e326..    b546 + b547 + b548 + b549 + b550 + b551 + b552 =E= 1;

e327..    b553 + b554 + b555 + b556 + b557 + b558 + b559 =E= 1;

* set non-default bounds
x1.lo = 105.15; x1.up = 121;
x2.lo = 104.4; x2.up = 121;
x3.lo = 103.35; x3.up = 121;
x4.lo = 102.5; x4.up = 121;
x5.lo = 101.24; x5.up = 121;
x6.lo = 105.4; x6.up = 121;
x7.lo = 107.9; x7.up = 121;
x8.lo = 106.5; x8.up = 121;
x9.lo = 106; x9.up = 121;
x10.lo = 104.17; x10.up = 121;
x11.lo = 103.7; x11.up = 121;
x12.lo = 102.64; x12.up = 121;
x13.lo = 101.9; x13.up = 121;
x14.lo = 102.6; x14.up = 121;
x15.lo = 103.5; x15.up = 121;
x16.lo = 104.3; x16.up = 121;
x17.lo = 105.5; x17.up = 121;
x18.lo = 104.1; x18.up = 121;
x19.lo = 102.9; x19.up = 121;
x20.lo = 102.83; x20.up = 121;
x21.lo = 102.8; x21.up = 121;
x22.lo = 103.9; x22.up = 121;
x23.lo = 104.2; x23.up = 121;
x24.lo = 107.5; x24.up = 121;
x25.lo = 104.4; x25.up = 121;
x26.lo = 103.4; x26.up = 121;
x27.lo = 103.9; x27.up = 121;
x28.lo = 105.65; x28.up = 121;
x29.lo = 104.5; x29.up = 121;
x30.lo = 104.1; x30.up = 121;
x31.lo = 104.4; x31.up = 121;
x32.lo = 104.2; x32.up = 121;
x33.lo = 104.6; x33.up = 121;
x34.lo = 104.7; x34.up = 121;
x35.lo = 105.43; x35.up = 121;
x36.lo = 105.9; x36.up = 121;
x37.fx = 121;
x96.lo = 0.00282743338823081; x96.up = 0.0706858347057703;
x97.lo = 0.00282743338823081; x97.up = 0.0706858347057703;
x98.lo = 0.00282743338823081; x98.up = 0.0706858347057703;
x99.lo = 0.00282743338823081; x99.up = 0.0706858347057703;
x100.lo = 0.00282743338823081; x100.up = 0.0706858347057703;
x101.lo = 0.00282743338823081; x101.up = 0.0706858347057703;
x102.lo = 0.00282743338823081; x102.up = 0.0706858347057703;
x103.lo = 0.00282743338823081; x103.up = 0.0706858347057703;
x104.lo = 0.00282743338823081; x104.up = 0.0706858347057703;
x105.lo = 0.00282743338823081; x105.up = 0.0706858347057703;
x106.lo = 0.00282743338823081; x106.up = 0.0706858347057703;
x107.lo = 0.00282743338823081; x107.up = 0.0706858347057703;
x108.lo = 0.00282743338823081; x108.up = 0.0706858347057703;
x109.lo = 0.00282743338823081; x109.up = 0.0706858347057703;
x110.lo = 0.00282743338823081; x110.up = 0.0706858347057703;
x111.lo = 0.00282743338823081; x111.up = 0.0706858347057703;
x112.lo = 0.00282743338823081; x112.up = 0.0706858347057703;
x113.lo = 0.00282743338823081; x113.up = 0.0706858347057703;
x114.lo = 0.00282743338823081; x114.up = 0.0706858347057703;
x115.lo = 0.00282743338823081; x115.up = 0.0706858347057703;
x116.lo = 0.00282743338823081; x116.up = 0.0706858347057703;
x117.lo = 0.00282743338823081; x117.up = 0.0706858347057703;
x118.lo = 0.00282743338823081; x118.up = 0.0706858347057703;
x119.lo = 0.00282743338823081; x119.up = 0.0706858347057703;
x120.lo = 0.00282743338823081; x120.up = 0.0706858347057703;
x121.lo = 0.00282743338823081; x121.up = 0.0706858347057703;
x122.lo = 0.00282743338823081; x122.up = 0.0706858347057703;
x123.lo = 0.00282743338823081; x123.up = 0.0706858347057703;
x124.lo = 0.00282743338823081; x124.up = 0.0706858347057703;
x125.lo = 0.00282743338823081; x125.up = 0.0706858347057703;
x126.lo = 0.00282743338823081; x126.up = 0.0706858347057703;
x127.lo = 0.00282743338823081; x127.up = 0.0706858347057703;
x128.lo = 0.00282743338823081; x128.up = 0.0706858347057703;
x129.lo = 0.00282743338823081; x129.up = 0.0706858347057703;
x130.lo = 0.00282743338823081; x130.up = 0.0706858347057703;
x131.lo = 0.00282743338823081; x131.up = 0.0706858347057703;
x132.lo = 0.00282743338823081; x132.up = 0.0706858347057703;
x133.lo = 0.00282743338823081; x133.up = 0.0706858347057703;
x134.lo = 0.00282743338823081; x134.up = 0.0706858347057703;
x135.lo = 0.00282743338823081; x135.up = 0.0706858347057703;
x136.lo = 0.00282743338823081; x136.up = 0.0706858347057703;
x137.lo = 0.00282743338823081; x137.up = 0.0706858347057703;
x138.lo = 0.00282743338823081; x138.up = 0.0706858347057703;
x139.lo = 0.00282743338823081; x139.up = 0.0706858347057703;
x140.lo = 0.00282743338823081; x140.up = 0.0706858347057703;
x141.lo = 0.00282743338823081; x141.up = 0.0706858347057703;
x142.lo = 0.00282743338823081; x142.up = 0.0706858347057703;
x143.lo = 0.00282743338823081; x143.up = 0.0706858347057703;
x144.lo = 0.00282743338823081; x144.up = 0.0706858347057703;
x145.lo = 0.00282743338823081; x145.up = 0.0706858347057703;
x146.lo = 0.00282743338823081; x146.up = 0.0706858347057703;
x147.lo = 0.00282743338823081; x147.up = 0.0706858347057703;
x148.lo = 0.00282743338823081; x148.up = 0.0706858347057703;
x149.lo = 0.00282743338823081; x149.up = 0.0706858347057703;
x150.lo = 0.00282743338823081; x150.up = 0.0706858347057703;
x151.lo = 0.00282743338823081; x151.up = 0.0706858347057703;
x152.lo = 0.00282743338823081; x152.up = 0.0706858347057703;
x153.lo = 0.00282743338823081; x153.up = 0.0706858347057703;

Model m / all /;

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

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

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


Last updated: 2022-04-26 Git hash: de668763
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