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A Library of Mixed-Integer and Continuous Nonlinear Programming Instances

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Instance waternd_fossiron

Formats ams gms osil py
Primal Bounds (infeas ≤ 1e-08)
225440.52200000 p1 ( gdx sol )
(infeas: 8e-13)
180621.73500000 p2 ( gdx sol )
(infeas: 2e-11)
179137.37200000 p3 ( gdx sol )
(infeas: 7e-11)
178494.14100000 p4 ( gdx sol )
(infeas: 7e-11)
Other points (infeas > 1e-08)  
Dual Bounds
175664.36240000 (COUENNE)
175921.95000000 (LINDO)
178494.14100000 (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 907
#Binary Variables 754
#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 754
#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 2145
#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 9.0410e+04
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
*        908      154      754        0        0        0        0        0
*  FX      1
*  
*  Nonzero counts
*      Total    const       NL      DLL
*       2900     2668      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,b560,b561,b562,b563,b564,b565,b566,b567,b568,b569,b570,b571
          ,b572,b573,b574,b575,b576,b577,b578,b579,b580,b581,b582,b583,b584
          ,b585,b586,b587,b588,b589,b590,b591,b592,b593,b594,b595,b596,b597
          ,b598,b599,b600,b601,b602,b603,b604,b605,b606,b607,b608,b609,b610
          ,b611,b612,b613,b614,b615,b616,b617,b618,b619,b620,b621,b622,b623
          ,b624,b625,b626,b627,b628,b629,b630,b631,b632,b633,b634,b635,b636
          ,b637,b638,b639,b640,b641,b642,b643,b644,b645,b646,b647,b648,b649
          ,b650,b651,b652,b653,b654,b655,b656,b657,b658,b659,b660,b661,b662
          ,b663,b664,b665,b666,b667,b668,b669,b670,b671,b672,b673,b674,b675
          ,b676,b677,b678,b679,b680,b681,b682,b683,b684,b685,b686,b687,b688
          ,b689,b690,b691,b692,b693,b694,b695,b696,b697,b698,b699,b700,b701
          ,b702,b703,b704,b705,b706,b707,b708,b709,b710,b711,b712,b713,b714
          ,b715,b716,b717,b718,b719,b720,b721,b722,b723,b724,b725,b726,b727
          ,b728,b729,b730,b731,b732,b733,b734,b735,b736,b737,b738,b739,b740
          ,b741,b742,b743,b744,b745,b746,b747,b748,b749,b750,b751,b752,b753
          ,b754,b755,b756,b757,b758,b759,b760,b761,b762,b763,b764,b765,b766
          ,b767,b768,b769,b770,b771,b772,b773,b774,b775,b776,b777,b778,b779
          ,b780,b781,b782,b783,b784,b785,b786,b787,b788,b789,b790,b791,b792
          ,b793,b794,b795,b796,b797,b798,b799,b800,b801,b802,b803,b804,b805
          ,b806,b807,b808,b809,b810,b811,b812,b813,b814,b815,b816,b817,b818
          ,b819,b820,b821,b822,b823,b824,b825,b826,b827,b828,b829,b830,b831
          ,b832,b833,b834,b835,b836,b837,b838,b839,b840,b841,b842,b843,b844
          ,b845,b846,b847,b848,b849,b850,b851,b852,b853,b854,b855,b856,b857
          ,b858,b859,b860,b861,b862,b863,b864,b865,b866,b867,b868,b869,b870
          ,b871,b872,b873,b874,b875,b876,b877,b878,b879,b880,b881,b882,b883
          ,b884,b885,b886,b887,b888,b889,b890,b891,b892,b893,b894,b895,b896
          ,b897,b898,b899,b900,b901,b902,b903,b904,b905,b906,b907,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,b560,b561,b562,b563,b564,b565,b566,b567,b568
          ,b569,b570,b571,b572,b573,b574,b575,b576,b577,b578,b579,b580,b581
          ,b582,b583,b584,b585,b586,b587,b588,b589,b590,b591,b592,b593,b594
          ,b595,b596,b597,b598,b599,b600,b601,b602,b603,b604,b605,b606,b607
          ,b608,b609,b610,b611,b612,b613,b614,b615,b616,b617,b618,b619,b620
          ,b621,b622,b623,b624,b625,b626,b627,b628,b629,b630,b631,b632,b633
          ,b634,b635,b636,b637,b638,b639,b640,b641,b642,b643,b644,b645,b646
          ,b647,b648,b649,b650,b651,b652,b653,b654,b655,b656,b657,b658,b659
          ,b660,b661,b662,b663,b664,b665,b666,b667,b668,b669,b670,b671,b672
          ,b673,b674,b675,b676,b677,b678,b679,b680,b681,b682,b683,b684,b685
          ,b686,b687,b688,b689,b690,b691,b692,b693,b694,b695,b696,b697,b698
          ,b699,b700,b701,b702,b703,b704,b705,b706,b707,b708,b709,b710,b711
          ,b712,b713,b714,b715,b716,b717,b718,b719,b720,b721,b722,b723,b724
          ,b725,b726,b727,b728,b729,b730,b731,b732,b733,b734,b735,b736,b737
          ,b738,b739,b740,b741,b742,b743,b744,b745,b746,b747,b748,b749,b750
          ,b751,b752,b753,b754,b755,b756,b757,b758,b759,b760,b761,b762,b763
          ,b764,b765,b766,b767,b768,b769,b770,b771,b772,b773,b774,b775,b776
          ,b777,b778,b779,b780,b781,b782,b783,b784,b785,b786,b787,b788,b789
          ,b790,b791,b792,b793,b794,b795,b796,b797,b798,b799,b800,b801,b802
          ,b803,b804,b805,b806,b807,b808,b809,b810,b811,b812,b813,b814,b815
          ,b816,b817,b818,b819,b820,b821,b822,b823,b824,b825,b826,b827,b828
          ,b829,b830,b831,b832,b833,b834,b835,b836,b837,b838,b839,b840,b841
          ,b842,b843,b844,b845,b846,b847,b848,b849,b850,b851,b852,b853,b854
          ,b855,b856,b857,b858,b859,b860,b861,b862,b863,b864,b865,b866,b867
          ,b868,b869,b870,b871,b872,b873,b874,b875,b876,b877,b878,b879,b880
          ,b881,b882,b883,b884,b885,b886,b887,b888,b889,b890,b891,b892,b893
          ,b894,b895,b896,b897,b898,b899,b900,b901,b902,b903,b904,b905,b906
          ,b907;

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..  - 2628.648*b154 - 3252.62*b155 - 3611.072*b156 - 4912.12*b157
      - 5230.744*b158 - 7222.144*b159 - 9678.204*b160 - 12041.332*b161
      - 15864.82*b162 - 18466.916*b163 - 21825.744*b164 - 24693.36*b165
      - 32034.988*b166 - 1493.118*b167 - 1847.545*b168 - 2051.152*b169
      - 2790.17*b170 - 2971.154*b171 - 4102.304*b172 - 5497.389*b173
      - 6839.687*b174 - 9011.495*b175 - 10489.531*b176 - 12397.404*b177
      - 14026.26*b178 - 18196.433*b179 - 2370.852*b180 - 2933.63*b181
      - 3256.928*b182 - 4430.38*b183 - 4717.756*b184 - 6513.856*b185
      - 8729.046*b186 - 10860.418*b187 - 14308.93*b188 - 16655.834*b189
      - 19685.256*b190 - 22271.64*b191 - 28893.262*b192 - 3226.806*b193
      - 3992.765*b194 - 4432.784*b195 - 6029.89*b196 - 6421.018*b197
      - 8865.568*b198 - 11880.513*b199 - 14781.379*b200 - 19474.915*b201
      - 22669.127*b202 - 26792.268*b203 - 30312.42*b204 - 39324.661*b205
      - 6191.856*b206 - 7661.64*b207 - 8505.984*b208 - 11570.64*b209
      - 12321.168*b210 - 17011.968*b211 - 22797.288*b212 - 28363.704*b213
      - 37370.04*b214 - 43499.352*b215 - 51411.168*b216 - 58165.92*b217
      - 75459.336*b218 - 3906.936*b219 - 4834.34*b220 - 5367.104*b221
      - 7300.84*b222 - 7774.408*b223 - 10734.208*b224 - 14384.628*b225
      - 17896.924*b226 - 23579.74*b227 - 27447.212*b228 - 32439.408*b229
      - 36701.52*b230 - 47613.316*b231 - 5723.982*b232 - 7082.705*b233
      - 7863.248*b234 - 10696.33*b235 - 11390.146*b236 - 15726.496*b237
      - 21074.661*b238 - 26220.463*b239 - 34546.255*b240 - 40212.419*b241
      - 47526.396*b242 - 53770.74*b243 - 69757.417*b244 - 6659.334*b245
      - 8240.085*b246 - 9148.176*b247 - 12444.21*b248 - 13251.402*b249
      - 18296.352*b250 - 24518.457*b251 - 30505.131*b252 - 40191.435*b253
      - 46783.503*b254 - 55292.652*b255 - 62557.38*b256 - 81156.429*b257
      - 1532.322*b258 - 1896.055*b259 - 2105.008*b260 - 2863.43*b261
      - 3049.166*b262 - 4210.016*b263 - 5641.731*b264 - 7019.273*b265
      - 9248.105*b266 - 10764.949*b267 - 12722.916*b268 - 14394.54*b269
      - 18674.207*b270 - 2689.038*b271 - 3327.345*b272 - 3694.032*b273
      - 5024.97*b274 - 5350.914*b275 - 7388.064*b276 - 9900.549*b277
      - 12317.967*b278 - 16229.295*b279 - 18891.171*b280 - 22327.164*b281
      - 25260.66*b282 - 32770.953*b283 - 3984.948*b284 - 4930.87*b285
      - 5474.272*b286 - 7446.62*b287 - 7929.644*b288 - 10948.544*b289
      - 14671.854*b290 - 18254.282*b291 - 24050.57*b292 - 27995.266*b293
      - 33087.144*b294 - 37434.36*b295 - 48564.038*b296 - 2864.268*b297
      - 3544.17*b298 - 3934.752*b299 - 5352.42*b300 - 5699.604*b301
      - 7869.504*b302 - 10545.714*b303 - 13120.662*b304 - 17286.87*b305
      - 20122.206*b306 - 23782.104*b307 - 26906.76*b308 - 34906.458*b309
      - 2220.966*b310 - 2748.165*b311 - 3051.024*b312 - 4150.29*b313
      - 4419.498*b314 - 6102.048*b315 - 8177.193*b316 - 10173.819*b317
      - 13404.315*b318 - 15602.847*b319 - 18440.748*b320 - 20863.62*b321
      - 27066.621*b322 - 2909.808*b323 - 3600.52*b324 - 3997.312*b325
      - 5437.52*b326 - 5790.224*b327 - 7994.624*b328 - 10713.384*b329
      - 13329.272*b330 - 17561.72*b331 - 20442.136*b332 - 24160.224*b333
      - 27334.56*b334 - 35461.448*b335 - 986.436*b336 - 1220.59*b337
      - 1355.104*b338 - 1843.34*b339 - 1962.908*b340 - 2710.208*b341
      - 3631.878*b342 - 4518.674*b343 - 5953.49*b344 - 6929.962*b345
      - 8190.408*b346 - 9266.52*b347 - 12021.566*b348 - 3221.262*b349
      - 3985.905*b350 - 4425.168*b351 - 6019.53*b352 - 6409.986*b353
      - 8850.336*b354 - 11860.101*b355 - 14755.983*b356 - 19441.455*b357
      - 22630.179*b358 - 26746.236*b359 - 30260.34*b360 - 39257.097*b361
      - 1649.34*b362 - 2040.85*b363 - 2265.76*b364 - 3082.1*b365 - 3282.02*b366
      - 4531.52*b367 - 6072.57*b368 - 7555.31*b369 - 9954.35*b370
      - 11587.03*b371 - 13694.52*b372 - 15493.8*b373 - 20100.29*b374
      - 1049.004*b375 - 1298.01*b376 - 1441.056*b377 - 1960.26*b378
      - 2087.412*b379 - 2882.112*b380 - 3862.242*b381 - 4805.286*b382
      - 6331.11*b383 - 7369.518*b384 - 8709.912*b385 - 9854.28*b386
      - 12784.074*b387 - 4035.834*b388 - 4993.835*b389 - 5544.176*b390
      - 7541.71*b391 - 8030.902*b392 - 11088.352*b393 - 14859.207*b394
      - 18487.381*b395 - 24357.685*b396 - 28352.753*b397 - 33509.652*b398
      - 37912.38*b399 - 49184.179*b400 - 2224.926*b401 - 2753.065*b402
      - 3056.464*b403 - 4157.69*b404 - 4427.378*b405 - 6112.928*b406
      - 8191.773*b407 - 10191.959*b408 - 13428.215*b409 - 15630.667*b410
      - 18473.628*b411 - 20900.82*b412 - 27114.881*b413 - 739.332*b414
      - 914.83*b415 - 1015.648*b416 - 1381.58*b417 - 1471.196*b418
      - 2031.296*b419 - 2722.086*b420 - 3386.738*b421 - 4462.13*b422
      - 5193.994*b423 - 6138.696*b424 - 6945.24*b425 - 9010.142*b426
      - 1290.762*b427 - 1597.155*b428 - 1773.168*b429 - 2412.03*b430
      - 2568.486*b431 - 3546.336*b432 - 4752.351*b433 - 5912.733*b434
      - 7790.205*b435 - 9067.929*b436 - 10717.236*b437 - 12125.34*b438
      - 15730.347*b439 - 3619.836*b440 - 4479.09*b441 - 4972.704*b442
      - 6764.34*b443 - 7203.108*b444 - 9945.408*b445 - 13327.578*b446
      - 16581.774*b447 - 21846.99*b448 - 25430.262*b449 - 30055.608*b450
      - 34004.52*b451 - 44114.466*b452 - 1600.236*b453 - 1980.09*b454
      - 2198.304*b455 - 2990.34*b456 - 3184.308*b457 - 4396.608*b458
      - 5891.778*b459 - 7330.374*b460 - 9657.99*b461 - 11242.062*b462
      - 13286.808*b463 - 15032.52*b464 - 19501.866*b465 - 1629.342*b466
      - 2016.105*b467 - 2238.288*b468 - 3044.73*b469 - 3242.226*b470
      - 4476.576*b471 - 5998.941*b472 - 7463.703*b473 - 9833.655*b474
      - 11446.539*b475 - 13528.476*b476 - 15305.94*b477 - 19856.577*b478
      - 2693.196*b479 - 3332.49*b480 - 3699.744*b481 - 5032.74*b482
      - 5359.188*b483 - 7399.488*b484 - 9915.858*b485 - 12337.014*b486
      - 16254.39*b487 - 18920.382*b488 - 22361.688*b489 - 25299.72*b490
      - 32821.626*b491 - 7418.664*b492 - 9179.66*b493 - 10191.296*b494
      - 13863.16*b495 - 14762.392*b496 - 20382.592*b497 - 27314.172*b498
      - 33983.476*b499 - 44774.26*b500 - 52117.988*b501 - 61597.392*b502
      - 69690.48*b503 - 90410.284*b504 - 4645.08*b505 - 5747.7*b506
      - 6381.12*b507 - 8680.2*b508 - 9243.24*b509 - 12762.24*b510
      - 17102.34*b511 - 21278.22*b512 - 28034.7*b513 - 32632.86*b514
      - 38568.24*b515 - 43635.6*b516 - 56608.98*b517 - 1662.408*b518
      - 2057.02*b519 - 2283.712*b520 - 3106.52*b521 - 3308.024*b522
      - 4567.424*b523 - 6120.684*b524 - 7615.172*b525 - 10033.22*b526
      - 11678.836*b527 - 13803.024*b528 - 15616.56*b529 - 20259.548*b530
      - 1972.872*b531 - 2441.18*b532 - 2710.208*b533 - 3686.68*b534
      - 3925.816*b535 - 5420.416*b536 - 7263.756*b537 - 9037.348*b538
      - 11906.98*b539 - 13859.924*b540 - 16380.816*b541 - 18533.04*b542
      - 24043.132*b543 - 4911.39*b544 - 6077.225*b545 - 6746.96*b546
      - 9177.85*b547 - 9773.17*b548 - 13493.92*b549 - 18082.845*b550
      - 22498.135*b551 - 29641.975*b552 - 34503.755*b553 - 40779.42*b554
      - 46137.3*b555 - 59854.465*b556 - 2155.23*b557 - 2666.825*b558
      - 2960.72*b559 - 4027.45*b560 - 4288.69*b561 - 5921.44*b562
      - 7935.165*b563 - 9872.695*b564 - 13007.575*b565 - 15141.035*b566
      - 17894.94*b567 - 20246.1*b568 - 26265.505*b569 - 4159.782*b570
      - 5147.205*b571 - 5714.448*b572 - 7773.33*b573 - 8277.546*b574
      - 11428.896*b575 - 15315.561*b576 - 19055.163*b577 - 25105.755*b578
      - 29223.519*b579 - 34538.796*b580 - 39076.74*b581 - 50694.717*b582
      - 2921.886*b583 - 3615.465*b584 - 4013.904*b585 - 5460.09*b586
      - 5814.258*b587 - 8027.808*b588 - 10757.853*b589 - 13384.599*b590
      - 17634.615*b591 - 20526.987*b592 - 24260.508*b593 - 27448.02*b594
      - 35608.641*b595 - 6751.206*b596 - 8353.765*b597 - 9274.384*b598
      - 12615.89*b599 - 13434.218*b600 - 18548.768*b601 - 24856.713*b602
      - 30925.979*b603 - 40745.915*b604 - 47428.927*b605 - 56055.468*b606
      - 63420.42*b607 - 82276.061*b608 - 2055.24*b609 - 2543.1*b610
      - 2823.36*b611 - 3840.6*b612 - 4089.72*b613 - 5646.72*b614 - 7567.02*b615
      - 9414.66*b616 - 12404.1*b617 - 14438.58*b618 - 17064.72*b619
      - 19306.8*b620 - 25046.94*b621 - 1486.584*b622 - 1839.46*b623
      - 2042.176*b624 - 2777.96*b625 - 2958.152*b626 - 4084.352*b627
      - 5473.332*b628 - 6809.756*b629 - 8972.06*b630 - 10443.628*b631
      - 12343.152*b632 - 13964.88*b633 - 18116.804*b634 - 2624.094*b635
      - 3246.985*b636 - 3604.816*b637 - 4903.61*b638 - 5221.682*b639
      - 7209.632*b640 - 9661.437*b641 - 12020.471*b642 - 15837.335*b643
      - 18434.923*b644 - 21787.932*b645 - 24650.58*b646 - 31979.489*b647
      - 4176.81*b648 - 5168.275*b649 - 5737.84*b650 - 7805.15*b651
      - 8311.43*b652 - 11475.68*b653 - 15378.255*b654 - 19133.165*b655
      - 25208.525*b656 - 29343.145*b657 - 34680.18*b658 - 39236.7*b659
      - 50902.235*b660 - 2920.302*b661 - 3613.505*b662 - 4011.728*b663
      - 5457.13*b664 - 5811.106*b665 - 8023.456*b666 - 10752.021*b667
      - 13377.343*b668 - 17625.055*b669 - 20515.859*b670 - 24247.356*b671
      - 27433.14*b672 - 35589.337*b673 - 2253.24*b674 - 2788.1*b675
      - 3095.36*b676 - 4210.6*b677 - 4483.72*b678 - 6190.72*b679 - 8296.02*b680
      - 10321.66*b681 - 13599.1*b682 - 15829.58*b683 - 18708.72*b684
      - 21166.8*b685 - 27459.94*b686 - 3569.742*b687 - 4417.105*b688
      - 4903.888*b689 - 6670.73*b690 - 7103.426*b691 - 9807.776*b692
      - 13143.141*b693 - 16352.303*b694 - 21544.655*b695 - 25078.339*b696
      - 29639.676*b697 - 33533.94*b698 - 43503.977*b699 - 1965.546*b700
      - 2432.115*b701 - 2700.144*b702 - 3672.99*b703 - 3911.238*b704
      - 5400.288*b705 - 7236.783*b706 - 9003.789*b707 - 11862.765*b708
      - 13808.457*b709 - 16319.988*b710 - 18464.22*b711 - 23953.851*b712
      - 3479.256*b713 - 4305.14*b714 - 4779.584*b715 - 6501.64*b716
      - 6923.368*b717 - 9559.168*b718 - 12809.988*b719 - 15937.804*b720
      - 20998.54*b721 - 24442.652*b722 - 28888.368*b723 - 32683.92*b724
      - 42401.236*b725 - 2951.19*b726 - 3651.725*b727 - 4054.16*b728
      - 5514.85*b729 - 5872.57*b730 - 8108.32*b731 - 10865.745*b732
      - 13518.835*b733 - 17811.475*b734 - 20732.855*b735 - 24503.82*b736
      - 27723.3*b737 - 35965.765*b738 - 1122.66*b739 - 1389.15*b740
      - 1542.24*b741 - 2097.9*b742 - 2233.98*b743 - 3084.48*b744 - 4133.43*b745
      - 5142.69*b746 - 6775.65*b747 - 7886.97*b748 - 9321.48*b749
      - 10546.2*b750 - 13681.71*b751 - 4257.99*b752 - 5268.725*b753
      - 5849.36*b754 - 7956.85*b755 - 8472.97*b756 - 11698.72*b757
      - 15677.145*b758 - 19505.035*b759 - 25698.475*b760 - 29913.455*b761
      - 35354.22*b762 - 39999.3*b763 - 51891.565*b764 - 2456.784*b765
      - 3039.96*b766 - 3374.976*b767 - 4590.96*b768 - 4888.752*b769
      - 6749.952*b770 - 9045.432*b771 - 11254.056*b772 - 14827.56*b773
      - 17259.528*b774 - 20398.752*b775 - 23078.88*b776 - 29940.504*b777
      - 2375.406*b778 - 2939.265*b779 - 3263.184*b780 - 4438.89*b781
      - 4726.818*b782 - 6526.368*b783 - 8745.813*b784 - 10881.279*b785
      - 14336.415*b786 - 16687.827*b787 - 19723.068*b788 - 22314.42*b789
      - 28948.761*b790 - 3592.116*b791 - 4444.79*b792 - 4934.624*b793
      - 6712.54*b794 - 7147.948*b795 - 9869.248*b796 - 13225.518*b797
      - 16454.794*b798 - 21679.69*b799 - 25235.522*b800 - 29825.448*b801
      - 33744.12*b802 - 43776.646*b803 - 1186.614*b804 - 1468.285*b805
      - 1630.096*b806 - 2217.41*b807 - 2361.242*b808 - 3260.192*b809
      - 4368.897*b810 - 5435.651*b811 - 7161.635*b812 - 8336.263*b813
      - 9852.492*b814 - 11146.98*b815 - 14461.109*b816 - 1554.3*b817
      - 1923.25*b818 - 2135.2*b819 - 2904.5*b820 - 3092.9*b821 - 4270.4*b822
      - 5722.65*b823 - 7119.95*b824 - 9380.75*b825 - 10919.35*b826
      - 12905.4*b827 - 14601*b828 - 18942.05*b829 - 2859.912*b830
      - 3538.78*b831 - 3928.768*b832 - 5344.28*b833 - 5690.936*b834
      - 7857.536*b835 - 10529.676*b836 - 13100.708*b837 - 17260.58*b838
      - 20091.604*b839 - 23745.936*b840 - 26865.84*b841 - 34853.372*b842
      - 687.852*b843 - 851.13*b844 - 944.928*b845 - 1285.38*b846
      - 1368.756*b847 - 1889.856*b848 - 2532.546*b849 - 3150.918*b850
      - 4151.43*b851 - 4832.334*b852 - 5711.256*b853 - 6461.64*b854
      - 8382.762*b855 - 3280.266*b856 - 4058.915*b857 - 4506.224*b858
      - 6129.79*b859 - 6527.398*b860 - 9012.448*b861 - 12077.343*b862
      - 15026.269*b863 - 19797.565*b864 - 23044.697*b865 - 27236.148*b866
      - 30814.62*b867 - 39976.171*b868 - 1646.766*b869 - 2037.665*b870
      - 2262.224*b871 - 3077.29*b872 - 3276.898*b873 - 4524.448*b874
      - 6063.093*b875 - 7543.519*b876 - 9938.815*b877 - 11568.947*b878
      - 13673.148*b879 - 15469.62*b880 - 20068.921*b881 - 4172.652*b882
      - 5163.13*b883 - 5732.128*b884 - 7797.38*b885 - 8303.156*b886
      - 11464.256*b887 - 15362.946*b888 - 19114.118*b889 - 25183.43*b890
      - 29313.934*b891 - 34645.656*b892 - 39197.64*b893 - 50851.562*b894
      - 19.8*b895 - 24.5*b896 - 27.2*b897 - 37*b898 - 39.4*b899 - 54.4*b900
      - 72.9*b901 - 90.7*b902 - 119.5*b903 - 139.1*b904 - 164.4*b905 - 186*b906
      - 241.3*b907 + 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) - 5.78858036381102*(1.27323954473516*x96)**2.435*(x1
       - x17) =E= 0;

e39.. SignPower(x39,1.852) - 10.1908490796917*(1.27323954473516*x97)**2.435*(x1
       - x31) =E= 0;

e40.. SignPower(x40,1.852) - 6.4180050868511*(1.27323954473516*x98)**2.435*(x2
       - x3) =E= 0;

e41.. SignPower(x41,1.852) - 4.71554230287507*(1.27323954473516*x99)**2.435*(x2
       - x18) =E= 0;

e42.. SignPower(x42,1.852) - 2.45744413244932*(1.27323954473516*x100)**2.435*(
      x3 - x4) =E= 0;

e43.. SignPower(x43,1.852) - 3.89464792772932*(1.27323954473516*x101)**2.435*(
      x3 - x11) =E= 0;

e44.. SignPower(x44,1.852) - 2.65831377460151*(1.27323954473516*x102)**2.435*(
      x4 - x5) =E= 0;

e45.. SignPower(x45,1.852) - 2.28493422858368*(1.27323954473516*x103)**2.435*(
      x5 - x6) =E= 0;

e46.. SignPower(x46,1.852) - 9.93011925441983*(1.27323954473516*x104)**2.435*(
      x5 - x13) =E= 0;

e47.. SignPower(x47,1.852) - 5.65858132022348*(1.27323954473516*x105)**2.435*(
      x6 - x7) =E= 0;

e48.. SignPower(x48,1.852) - 3.81840370217405*(1.27323954473516*x106)**2.435*(
      x7 - x24) =E= 0;

e49.. SignPower(x49,1.852) - 5.31240100303851*(1.27323954473516*x107)**2.435*(
      x8 - x28) =E= 0;

e50.. SignPower(x50,1.852) - 6.85113603547785*(1.27323954473516*x108)**2.435*(
      x9 - x36) =E= 0;

e51.. SignPower(x51,1.852) - 5.22925918004593*(1.27323954473516*x109)**2.435*(
      x10 - x11) =E= 0;

e52.. SignPower(x52,1.852) - 15.4253699136803*(1.27323954473516*x110)**2.435*(
      x10 - x32) =E= 0;

e53.. SignPower(x53,1.852) - 4.7236580558089*(1.27323954473516*x111)**2.435*(
      x11 - x19) =E= 0;

e54.. SignPower(x54,1.852) - 9.22559338654922*(1.27323954473516*x112)**2.435*(
      x11 - x26) =E= 0;

e55.. SignPower(x55,1.852) - 14.5053214250576*(1.27323954473516*x113)**2.435*(
      x12 - x4) =E= 0;

e56.. SignPower(x56,1.852) - 3.7702591821594*(1.27323954473516*x114)**2.435*(
      x12 - x13) =E= 0;

e57.. SignPower(x57,1.852) - 6.83894214736629*(1.27323954473516*x115)**2.435*(
      x13 - x14) =E= 0;

e58.. SignPower(x58,1.852) - 20.5809300776527*(1.27323954473516*x116)**2.435*(
      x14 - x20) =E= 0;

e59.. SignPower(x59,1.852) - 11.7884940803735*(1.27323954473516*x117)**2.435*(
      x14 - x21) =E= 0;

e60.. SignPower(x60,1.852) - 4.20354408215485*(1.27323954473516*x118)**2.435*(
      x15 - x16) =E= 0;

e61.. SignPower(x61,1.852) - 9.50868509155593*(1.27323954473516*x119)**2.435*(
      x15 - x22) =E= 0;

e62.. SignPower(x62,1.852) - 9.33882524121461*(1.27323954473516*x120)**2.435*(
      x16 - x25) =E= 0;

e63.. SignPower(x63,1.852) - 5.64984508968939*(1.27323954473516*x121)**2.435*(
      x16 - x29) =E= 0;

e64.. SignPower(x64,1.852) - 2.0510620505486*(1.27323954473516*x122)**2.435*(
      x17 - x2) =E= 0;

e65.. SignPower(x65,1.852) - 3.27575417348487*(1.27323954473516*x123)**2.435*(
      x17 - x18) =E= 0;

e66.. SignPower(x66,1.852) - 9.15307204739817*(1.27323954473516*x124)**2.435*(
      x18 - x10) =E= 0;

e67.. SignPower(x67,1.852) - 7.71268495684013*(1.27323954473516*x125)**2.435*(
      x19 - x12) =E= 0;

e68.. SignPower(x68,1.852) - 3.09813315500726*(1.27323954473516*x126)**2.435*(
      x19 - x20) =E= 0;

e69.. SignPower(x69,1.852) - 7.06010040514056*(1.27323954473516*x127)**2.435*(
      x20 - x15) =E= 0;

e70.. SignPower(x70,1.852) - 3.65791769765125*(1.27323954473516*x128)**2.435*(
      x21 - x6) =E= 0;

e71.. SignPower(x71,1.852) - 5.20764334959375*(1.27323954473516*x129)**2.435*(
      x21 - x22) =E= 0;

e72.. SignPower(x72,1.852) - 2.25384030589069*(1.27323954473516*x130)**2.435*(
      x22 - x7) =E= 0;

e73.. SignPower(x73,1.852) - 7.40358313198025*(1.27323954473516*x131)**2.435*(
      x22 - x23) =E= 0;

e74.. SignPower(x74,1.852) - 10.2356410375539*(1.27323954473516*x132)**2.435*(
      x23 - x25) =E= 0;

e75.. SignPower(x75,1.852) - 5.79862619104769*(1.27323954473516*x133)**2.435*(
      x24 - x8) =E= 0;

e76.. SignPower(x76,1.852) - 3.64300511542807*(1.27323954473516*x134)**2.435*(
      x24 - x23) =E= 0;

e77.. SignPower(x77,1.852) - 5.21046802562581*(1.27323954473516*x135)**2.435*(
      x25 - x8) =E= 0;

e78.. SignPower(x78,1.852) - 6.75300464938093*(1.27323954473516*x136)**2.435*(
      x26 - x15) =E= 0;

e79.. SignPower(x79,1.852) - 4.26253219313079*(1.27323954473516*x137)**2.435*(
      x26 - x27) =E= 0;

e80.. SignPower(x80,1.852) - 7.74143174271734*(1.27323954473516*x138)**2.435*(
      x27 - x16) =E= 0;

e81.. SignPower(x81,1.852) - 4.37338907978346*(1.27323954473516*x139)**2.435*(
      x28 - x9) =E= 0;

e82.. SignPower(x82,1.852) - 5.15593377456927*(1.27323954473516*x140)**2.435*(
      x28 - x29) =E= 0;

e83.. SignPower(x83,1.852) - 13.5536495432019*(1.27323954473516*x141)**2.435*(
      x29 - x30) =E= 0;

e84.. SignPower(x84,1.852) - 3.57355000743804*(1.27323954473516*x142)**2.435*(
      x29 - x33) =E= 0;

e85.. SignPower(x85,1.852) - 6.19351973806859*(1.27323954473516*x143)**2.435*(
      x30 - x9) =E= 0;

e86.. SignPower(x86,1.852) - 6.40570083437151*(1.27323954473516*x144)**2.435*(
      x30 - x35) =E= 0;

e87.. SignPower(x87,1.852) - 4.23598241152877*(1.27323954473516*x145)**2.435*(
      x31 - x10) =E= 0;

e88.. SignPower(x88,1.852) - 12.8231591706916*(1.27323954473516*x146)**2.435*(
      x31 - x34) =E= 0;

e89.. SignPower(x89,1.852) - 9.78970610317898*(1.27323954473516*x147)**2.435*(
      x32 - x27) =E= 0;

e90.. SignPower(x90,1.852) - 5.32049244737988*(1.27323954473516*x148)**2.435*(
      x32 - x33) =E= 0;

e91.. SignPower(x91,1.852) - 22.121241482428*(1.27323954473516*x149)**2.435*(
      x33 - x34) =E= 0;

e92.. SignPower(x92,1.852) - 4.63869094645712*(1.27323954473516*x150)**2.435*(
      x34 - x35) =E= 0;

e93.. SignPower(x93,1.852) - 9.24001357580318*(1.27323954473516*x151)**2.435*(
      x35 - x36) =E= 0;

e94.. SignPower(x94,1.852) - 3.64663532836457*(1.27323954473516*x152)**2.435*(
      x36 - x1) =E= 0;

e95.. SignPower(x95,1.852) - 768.49192909955*(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
        - 0.00785398163397448*b156 - 0.0122718463030851*b157
        - 0.0176714586764426*b158 - 0.0314159265358979*b159
        - 0.0490873852123405*b160 - 0.0706858347057703*b161
        - 0.0962112750161874*b162 - 0.125663706143592*b163
        - 0.159043128087983*b164 - 0.196349540849362*b165
        - 0.282743338823081*b166 =E= 0;

e213..    x97 - 0.00282743338823081*b167 - 0.00502654824574367*b168
        - 0.00785398163397448*b169 - 0.0122718463030851*b170
        - 0.0176714586764426*b171 - 0.0314159265358979*b172
        - 0.0490873852123405*b173 - 0.0706858347057703*b174
        - 0.0962112750161874*b175 - 0.125663706143592*b176
        - 0.159043128087983*b177 - 0.196349540849362*b178
        - 0.282743338823081*b179 =E= 0;

e214..    x98 - 0.00282743338823081*b180 - 0.00502654824574367*b181
        - 0.00785398163397448*b182 - 0.0122718463030851*b183
        - 0.0176714586764426*b184 - 0.0314159265358979*b185
        - 0.0490873852123405*b186 - 0.0706858347057703*b187
        - 0.0962112750161874*b188 - 0.125663706143592*b189
        - 0.159043128087983*b190 - 0.196349540849362*b191
        - 0.282743338823081*b192 =E= 0;

e215..    x99 - 0.00282743338823081*b193 - 0.00502654824574367*b194
        - 0.00785398163397448*b195 - 0.0122718463030851*b196
        - 0.0176714586764426*b197 - 0.0314159265358979*b198
        - 0.0490873852123405*b199 - 0.0706858347057703*b200
        - 0.0962112750161874*b201 - 0.125663706143592*b202
        - 0.159043128087983*b203 - 0.196349540849362*b204
        - 0.282743338823081*b205 =E= 0;

e216..    x100 - 0.00282743338823081*b206 - 0.00502654824574367*b207
        - 0.00785398163397448*b208 - 0.0122718463030851*b209
        - 0.0176714586764426*b210 - 0.0314159265358979*b211
        - 0.0490873852123405*b212 - 0.0706858347057703*b213
        - 0.0962112750161874*b214 - 0.125663706143592*b215
        - 0.159043128087983*b216 - 0.196349540849362*b217
        - 0.282743338823081*b218 =E= 0;

e217..    x101 - 0.00282743338823081*b219 - 0.00502654824574367*b220
        - 0.00785398163397448*b221 - 0.0122718463030851*b222
        - 0.0176714586764426*b223 - 0.0314159265358979*b224
        - 0.0490873852123405*b225 - 0.0706858347057703*b226
        - 0.0962112750161874*b227 - 0.125663706143592*b228
        - 0.159043128087983*b229 - 0.196349540849362*b230
        - 0.282743338823081*b231 =E= 0;

e218..    x102 - 0.00282743338823081*b232 - 0.00502654824574367*b233
        - 0.00785398163397448*b234 - 0.0122718463030851*b235
        - 0.0176714586764426*b236 - 0.0314159265358979*b237
        - 0.0490873852123405*b238 - 0.0706858347057703*b239
        - 0.0962112750161874*b240 - 0.125663706143592*b241
        - 0.159043128087983*b242 - 0.196349540849362*b243
        - 0.282743338823081*b244 =E= 0;

e219..    x103 - 0.00282743338823081*b245 - 0.00502654824574367*b246
        - 0.00785398163397448*b247 - 0.0122718463030851*b248
        - 0.0176714586764426*b249 - 0.0314159265358979*b250
        - 0.0490873852123405*b251 - 0.0706858347057703*b252
        - 0.0962112750161874*b253 - 0.125663706143592*b254
        - 0.159043128087983*b255 - 0.196349540849362*b256
        - 0.282743338823081*b257 =E= 0;

e220..    x104 - 0.00282743338823081*b258 - 0.00502654824574367*b259
        - 0.00785398163397448*b260 - 0.0122718463030851*b261
        - 0.0176714586764426*b262 - 0.0314159265358979*b263
        - 0.0490873852123405*b264 - 0.0706858347057703*b265
        - 0.0962112750161874*b266 - 0.125663706143592*b267
        - 0.159043128087983*b268 - 0.196349540849362*b269
        - 0.282743338823081*b270 =E= 0;

e221..    x105 - 0.00282743338823081*b271 - 0.00502654824574367*b272
        - 0.00785398163397448*b273 - 0.0122718463030851*b274
        - 0.0176714586764426*b275 - 0.0314159265358979*b276
        - 0.0490873852123405*b277 - 0.0706858347057703*b278
        - 0.0962112750161874*b279 - 0.125663706143592*b280
        - 0.159043128087983*b281 - 0.196349540849362*b282
        - 0.282743338823081*b283 =E= 0;

e222..    x106 - 0.00282743338823081*b284 - 0.00502654824574367*b285
        - 0.00785398163397448*b286 - 0.0122718463030851*b287
        - 0.0176714586764426*b288 - 0.0314159265358979*b289
        - 0.0490873852123405*b290 - 0.0706858347057703*b291
        - 0.0962112750161874*b292 - 0.125663706143592*b293
        - 0.159043128087983*b294 - 0.196349540849362*b295
        - 0.282743338823081*b296 =E= 0;

e223..    x107 - 0.00282743338823081*b297 - 0.00502654824574367*b298
        - 0.00785398163397448*b299 - 0.0122718463030851*b300
        - 0.0176714586764426*b301 - 0.0314159265358979*b302
        - 0.0490873852123405*b303 - 0.0706858347057703*b304
        - 0.0962112750161874*b305 - 0.125663706143592*b306
        - 0.159043128087983*b307 - 0.196349540849362*b308
        - 0.282743338823081*b309 =E= 0;

e224..    x108 - 0.00282743338823081*b310 - 0.00502654824574367*b311
        - 0.00785398163397448*b312 - 0.0122718463030851*b313
        - 0.0176714586764426*b314 - 0.0314159265358979*b315
        - 0.0490873852123405*b316 - 0.0706858347057703*b317
        - 0.0962112750161874*b318 - 0.125663706143592*b319
        - 0.159043128087983*b320 - 0.196349540849362*b321
        - 0.282743338823081*b322 =E= 0;

e225..    x109 - 0.00282743338823081*b323 - 0.00502654824574367*b324
        - 0.00785398163397448*b325 - 0.0122718463030851*b326
        - 0.0176714586764426*b327 - 0.0314159265358979*b328
        - 0.0490873852123405*b329 - 0.0706858347057703*b330
        - 0.0962112750161874*b331 - 0.125663706143592*b332
        - 0.159043128087983*b333 - 0.196349540849362*b334
        - 0.282743338823081*b335 =E= 0;

e226..    x110 - 0.00282743338823081*b336 - 0.00502654824574367*b337
        - 0.00785398163397448*b338 - 0.0122718463030851*b339
        - 0.0176714586764426*b340 - 0.0314159265358979*b341
        - 0.0490873852123405*b342 - 0.0706858347057703*b343
        - 0.0962112750161874*b344 - 0.125663706143592*b345
        - 0.159043128087983*b346 - 0.196349540849362*b347
        - 0.282743338823081*b348 =E= 0;

e227..    x111 - 0.00282743338823081*b349 - 0.00502654824574367*b350
        - 0.00785398163397448*b351 - 0.0122718463030851*b352
        - 0.0176714586764426*b353 - 0.0314159265358979*b354
        - 0.0490873852123405*b355 - 0.0706858347057703*b356
        - 0.0962112750161874*b357 - 0.125663706143592*b358
        - 0.159043128087983*b359 - 0.196349540849362*b360
        - 0.282743338823081*b361 =E= 0;

e228..    x112 - 0.00282743338823081*b362 - 0.00502654824574367*b363
        - 0.00785398163397448*b364 - 0.0122718463030851*b365
        - 0.0176714586764426*b366 - 0.0314159265358979*b367
        - 0.0490873852123405*b368 - 0.0706858347057703*b369
        - 0.0962112750161874*b370 - 0.125663706143592*b371
        - 0.159043128087983*b372 - 0.196349540849362*b373
        - 0.282743338823081*b374 =E= 0;

e229..    x113 - 0.00282743338823081*b375 - 0.00502654824574367*b376
        - 0.00785398163397448*b377 - 0.0122718463030851*b378
        - 0.0176714586764426*b379 - 0.0314159265358979*b380
        - 0.0490873852123405*b381 - 0.0706858347057703*b382
        - 0.0962112750161874*b383 - 0.125663706143592*b384
        - 0.159043128087983*b385 - 0.196349540849362*b386
        - 0.282743338823081*b387 =E= 0;

e230..    x114 - 0.00282743338823081*b388 - 0.00502654824574367*b389
        - 0.00785398163397448*b390 - 0.0122718463030851*b391
        - 0.0176714586764426*b392 - 0.0314159265358979*b393
        - 0.0490873852123405*b394 - 0.0706858347057703*b395
        - 0.0962112750161874*b396 - 0.125663706143592*b397
        - 0.159043128087983*b398 - 0.196349540849362*b399
        - 0.282743338823081*b400 =E= 0;

e231..    x115 - 0.00282743338823081*b401 - 0.00502654824574367*b402
        - 0.00785398163397448*b403 - 0.0122718463030851*b404
        - 0.0176714586764426*b405 - 0.0314159265358979*b406
        - 0.0490873852123405*b407 - 0.0706858347057703*b408
        - 0.0962112750161874*b409 - 0.125663706143592*b410
        - 0.159043128087983*b411 - 0.196349540849362*b412
        - 0.282743338823081*b413 =E= 0;

e232..    x116 - 0.00282743338823081*b414 - 0.00502654824574367*b415
        - 0.00785398163397448*b416 - 0.0122718463030851*b417
        - 0.0176714586764426*b418 - 0.0314159265358979*b419
        - 0.0490873852123405*b420 - 0.0706858347057703*b421
        - 0.0962112750161874*b422 - 0.125663706143592*b423
        - 0.159043128087983*b424 - 0.196349540849362*b425
        - 0.282743338823081*b426 =E= 0;

e233..    x117 - 0.00282743338823081*b427 - 0.00502654824574367*b428
        - 0.00785398163397448*b429 - 0.0122718463030851*b430
        - 0.0176714586764426*b431 - 0.0314159265358979*b432
        - 0.0490873852123405*b433 - 0.0706858347057703*b434
        - 0.0962112750161874*b435 - 0.125663706143592*b436
        - 0.159043128087983*b437 - 0.196349540849362*b438
        - 0.282743338823081*b439 =E= 0;

e234..    x118 - 0.00282743338823081*b440 - 0.00502654824574367*b441
        - 0.00785398163397448*b442 - 0.0122718463030851*b443
        - 0.0176714586764426*b444 - 0.0314159265358979*b445
        - 0.0490873852123405*b446 - 0.0706858347057703*b447
        - 0.0962112750161874*b448 - 0.125663706143592*b449
        - 0.159043128087983*b450 - 0.196349540849362*b451
        - 0.282743338823081*b452 =E= 0;

e235..    x119 - 0.00282743338823081*b453 - 0.00502654824574367*b454
        - 0.00785398163397448*b455 - 0.0122718463030851*b456
        - 0.0176714586764426*b457 - 0.0314159265358979*b458
        - 0.0490873852123405*b459 - 0.0706858347057703*b460
        - 0.0962112750161874*b461 - 0.125663706143592*b462
        - 0.159043128087983*b463 - 0.196349540849362*b464
        - 0.282743338823081*b465 =E= 0;

e236..    x120 - 0.00282743338823081*b466 - 0.00502654824574367*b467
        - 0.00785398163397448*b468 - 0.0122718463030851*b469
        - 0.0176714586764426*b470 - 0.0314159265358979*b471
        - 0.0490873852123405*b472 - 0.0706858347057703*b473
        - 0.0962112750161874*b474 - 0.125663706143592*b475
        - 0.159043128087983*b476 - 0.196349540849362*b477
        - 0.282743338823081*b478 =E= 0;

e237..    x121 - 0.00282743338823081*b479 - 0.00502654824574367*b480
        - 0.00785398163397448*b481 - 0.0122718463030851*b482
        - 0.0176714586764426*b483 - 0.0314159265358979*b484
        - 0.0490873852123405*b485 - 0.0706858347057703*b486
        - 0.0962112750161874*b487 - 0.125663706143592*b488
        - 0.159043128087983*b489 - 0.196349540849362*b490
        - 0.282743338823081*b491 =E= 0;

e238..    x122 - 0.00282743338823081*b492 - 0.00502654824574367*b493
        - 0.00785398163397448*b494 - 0.0122718463030851*b495
        - 0.0176714586764426*b496 - 0.0314159265358979*b497
        - 0.0490873852123405*b498 - 0.0706858347057703*b499
        - 0.0962112750161874*b500 - 0.125663706143592*b501
        - 0.159043128087983*b502 - 0.196349540849362*b503
        - 0.282743338823081*b504 =E= 0;

e239..    x123 - 0.00282743338823081*b505 - 0.00502654824574367*b506
        - 0.00785398163397448*b507 - 0.0122718463030851*b508
        - 0.0176714586764426*b509 - 0.0314159265358979*b510
        - 0.0490873852123405*b511 - 0.0706858347057703*b512
        - 0.0962112750161874*b513 - 0.125663706143592*b514
        - 0.159043128087983*b515 - 0.196349540849362*b516
        - 0.282743338823081*b517 =E= 0;

e240..    x124 - 0.00282743338823081*b518 - 0.00502654824574367*b519
        - 0.00785398163397448*b520 - 0.0122718463030851*b521
        - 0.0176714586764426*b522 - 0.0314159265358979*b523
        - 0.0490873852123405*b524 - 0.0706858347057703*b525
        - 0.0962112750161874*b526 - 0.125663706143592*b527
        - 0.159043128087983*b528 - 0.196349540849362*b529
        - 0.282743338823081*b530 =E= 0;

e241..    x125 - 0.00282743338823081*b531 - 0.00502654824574367*b532
        - 0.00785398163397448*b533 - 0.0122718463030851*b534
        - 0.0176714586764426*b535 - 0.0314159265358979*b536
        - 0.0490873852123405*b537 - 0.0706858347057703*b538
        - 0.0962112750161874*b539 - 0.125663706143592*b540
        - 0.159043128087983*b541 - 0.196349540849362*b542
        - 0.282743338823081*b543 =E= 0;

e242..    x126 - 0.00282743338823081*b544 - 0.00502654824574367*b545
        - 0.00785398163397448*b546 - 0.0122718463030851*b547
        - 0.0176714586764426*b548 - 0.0314159265358979*b549
        - 0.0490873852123405*b550 - 0.0706858347057703*b551
        - 0.0962112750161874*b552 - 0.125663706143592*b553
        - 0.159043128087983*b554 - 0.196349540849362*b555
        - 0.282743338823081*b556 =E= 0;

e243..    x127 - 0.00282743338823081*b557 - 0.00502654824574367*b558
        - 0.00785398163397448*b559 - 0.0122718463030851*b560
        - 0.0176714586764426*b561 - 0.0314159265358979*b562
        - 0.0490873852123405*b563 - 0.0706858347057703*b564
        - 0.0962112750161874*b565 - 0.125663706143592*b566
        - 0.159043128087983*b567 - 0.196349540849362*b568
        - 0.282743338823081*b569 =E= 0;

e244..    x128 - 0.00282743338823081*b570 - 0.00502654824574367*b571
        - 0.00785398163397448*b572 - 0.0122718463030851*b573
        - 0.0176714586764426*b574 - 0.0314159265358979*b575
        - 0.0490873852123405*b576 - 0.0706858347057703*b577
        - 0.0962112750161874*b578 - 0.125663706143592*b579
        - 0.159043128087983*b580 - 0.196349540849362*b581
        - 0.282743338823081*b582 =E= 0;

e245..    x129 - 0.00282743338823081*b583 - 0.00502654824574367*b584
        - 0.00785398163397448*b585 - 0.0122718463030851*b586
        - 0.0176714586764426*b587 - 0.0314159265358979*b588
        - 0.0490873852123405*b589 - 0.0706858347057703*b590
        - 0.0962112750161874*b591 - 0.125663706143592*b592
        - 0.159043128087983*b593 - 0.196349540849362*b594
        - 0.282743338823081*b595 =E= 0;

e246..    x130 - 0.00282743338823081*b596 - 0.00502654824574367*b597
        - 0.00785398163397448*b598 - 0.0122718463030851*b599
        - 0.0176714586764426*b600 - 0.0314159265358979*b601
        - 0.0490873852123405*b602 - 0.0706858347057703*b603
        - 0.0962112750161874*b604 - 0.125663706143592*b605
        - 0.159043128087983*b606 - 0.196349540849362*b607
        - 0.282743338823081*b608 =E= 0;

e247..    x131 - 0.00282743338823081*b609 - 0.00502654824574367*b610
        - 0.00785398163397448*b611 - 0.0122718463030851*b612
        - 0.0176714586764426*b613 - 0.0314159265358979*b614
        - 0.0490873852123405*b615 - 0.0706858347057703*b616
        - 0.0962112750161874*b617 - 0.125663706143592*b618
        - 0.159043128087983*b619 - 0.196349540849362*b620
        - 0.282743338823081*b621 =E= 0;

e248..    x132 - 0.00282743338823081*b622 - 0.00502654824574367*b623
        - 0.00785398163397448*b624 - 0.0122718463030851*b625
        - 0.0176714586764426*b626 - 0.0314159265358979*b627
        - 0.0490873852123405*b628 - 0.0706858347057703*b629
        - 0.0962112750161874*b630 - 0.125663706143592*b631
        - 0.159043128087983*b632 - 0.196349540849362*b633
        - 0.282743338823081*b634 =E= 0;

e249..    x133 - 0.00282743338823081*b635 - 0.00502654824574367*b636
        - 0.00785398163397448*b637 - 0.0122718463030851*b638
        - 0.0176714586764426*b639 - 0.0314159265358979*b640
        - 0.0490873852123405*b641 - 0.0706858347057703*b642
        - 0.0962112750161874*b643 - 0.125663706143592*b644
        - 0.159043128087983*b645 - 0.196349540849362*b646
        - 0.282743338823081*b647 =E= 0;

e250..    x134 - 0.00282743338823081*b648 - 0.00502654824574367*b649
        - 0.00785398163397448*b650 - 0.0122718463030851*b651
        - 0.0176714586764426*b652 - 0.0314159265358979*b653
        - 0.0490873852123405*b654 - 0.0706858347057703*b655
        - 0.0962112750161874*b656 - 0.125663706143592*b657
        - 0.159043128087983*b658 - 0.196349540849362*b659
        - 0.282743338823081*b660 =E= 0;

e251..    x135 - 0.00282743338823081*b661 - 0.00502654824574367*b662
        - 0.00785398163397448*b663 - 0.0122718463030851*b664
        - 0.0176714586764426*b665 - 0.0314159265358979*b666
        - 0.0490873852123405*b667 - 0.0706858347057703*b668
        - 0.0962112750161874*b669 - 0.125663706143592*b670
        - 0.159043128087983*b671 - 0.196349540849362*b672
        - 0.282743338823081*b673 =E= 0;

e252..    x136 - 0.00282743338823081*b674 - 0.00502654824574367*b675
        - 0.00785398163397448*b676 - 0.0122718463030851*b677
        - 0.0176714586764426*b678 - 0.0314159265358979*b679
        - 0.0490873852123405*b680 - 0.0706858347057703*b681
        - 0.0962112750161874*b682 - 0.125663706143592*b683
        - 0.159043128087983*b684 - 0.196349540849362*b685
        - 0.282743338823081*b686 =E= 0;

e253..    x137 - 0.00282743338823081*b687 - 0.00502654824574367*b688
        - 0.00785398163397448*b689 - 0.0122718463030851*b690
        - 0.0176714586764426*b691 - 0.0314159265358979*b692
        - 0.0490873852123405*b693 - 0.0706858347057703*b694
        - 0.0962112750161874*b695 - 0.125663706143592*b696
        - 0.159043128087983*b697 - 0.196349540849362*b698
        - 0.282743338823081*b699 =E= 0;

e254..    x138 - 0.00282743338823081*b700 - 0.00502654824574367*b701
        - 0.00785398163397448*b702 - 0.0122718463030851*b703
        - 0.0176714586764426*b704 - 0.0314159265358979*b705
        - 0.0490873852123405*b706 - 0.0706858347057703*b707
        - 0.0962112750161874*b708 - 0.125663706143592*b709
        - 0.159043128087983*b710 - 0.196349540849362*b711
        - 0.282743338823081*b712 =E= 0;

e255..    x139 - 0.00282743338823081*b713 - 0.00502654824574367*b714
        - 0.00785398163397448*b715 - 0.0122718463030851*b716
        - 0.0176714586764426*b717 - 0.0314159265358979*b718
        - 0.0490873852123405*b719 - 0.0706858347057703*b720
        - 0.0962112750161874*b721 - 0.125663706143592*b722
        - 0.159043128087983*b723 - 0.196349540849362*b724
        - 0.282743338823081*b725 =E= 0;

e256..    x140 - 0.00282743338823081*b726 - 0.00502654824574367*b727
        - 0.00785398163397448*b728 - 0.0122718463030851*b729
        - 0.0176714586764426*b730 - 0.0314159265358979*b731
        - 0.0490873852123405*b732 - 0.0706858347057703*b733
        - 0.0962112750161874*b734 - 0.125663706143592*b735
        - 0.159043128087983*b736 - 0.196349540849362*b737
        - 0.282743338823081*b738 =E= 0;

e257..    x141 - 0.00282743338823081*b739 - 0.00502654824574367*b740
        - 0.00785398163397448*b741 - 0.0122718463030851*b742
        - 0.0176714586764426*b743 - 0.0314159265358979*b744
        - 0.0490873852123405*b745 - 0.0706858347057703*b746
        - 0.0962112750161874*b747 - 0.125663706143592*b748
        - 0.159043128087983*b749 - 0.196349540849362*b750
        - 0.282743338823081*b751 =E= 0;

e258..    x142 - 0.00282743338823081*b752 - 0.00502654824574367*b753
        - 0.00785398163397448*b754 - 0.0122718463030851*b755
        - 0.0176714586764426*b756 - 0.0314159265358979*b757
        - 0.0490873852123405*b758 - 0.0706858347057703*b759
        - 0.0962112750161874*b760 - 0.125663706143592*b761
        - 0.159043128087983*b762 - 0.196349540849362*b763
        - 0.282743338823081*b764 =E= 0;

e259..    x143 - 0.00282743338823081*b765 - 0.00502654824574367*b766
        - 0.00785398163397448*b767 - 0.0122718463030851*b768
        - 0.0176714586764426*b769 - 0.0314159265358979*b770
        - 0.0490873852123405*b771 - 0.0706858347057703*b772
        - 0.0962112750161874*b773 - 0.125663706143592*b774
        - 0.159043128087983*b775 - 0.196349540849362*b776
        - 0.282743338823081*b777 =E= 0;

e260..    x144 - 0.00282743338823081*b778 - 0.00502654824574367*b779
        - 0.00785398163397448*b780 - 0.0122718463030851*b781
        - 0.0176714586764426*b782 - 0.0314159265358979*b783
        - 0.0490873852123405*b784 - 0.0706858347057703*b785
        - 0.0962112750161874*b786 - 0.125663706143592*b787
        - 0.159043128087983*b788 - 0.196349540849362*b789
        - 0.282743338823081*b790 =E= 0;

e261..    x145 - 0.00282743338823081*b791 - 0.00502654824574367*b792
        - 0.00785398163397448*b793 - 0.0122718463030851*b794
        - 0.0176714586764426*b795 - 0.0314159265358979*b796
        - 0.0490873852123405*b797 - 0.0706858347057703*b798
        - 0.0962112750161874*b799 - 0.125663706143592*b800
        - 0.159043128087983*b801 - 0.196349540849362*b802
        - 0.282743338823081*b803 =E= 0;

e262..    x146 - 0.00282743338823081*b804 - 0.00502654824574367*b805
        - 0.00785398163397448*b806 - 0.0122718463030851*b807
        - 0.0176714586764426*b808 - 0.0314159265358979*b809
        - 0.0490873852123405*b810 - 0.0706858347057703*b811
        - 0.0962112750161874*b812 - 0.125663706143592*b813
        - 0.159043128087983*b814 - 0.196349540849362*b815
        - 0.282743338823081*b816 =E= 0;

e263..    x147 - 0.00282743338823081*b817 - 0.00502654824574367*b818
        - 0.00785398163397448*b819 - 0.0122718463030851*b820
        - 0.0176714586764426*b821 - 0.0314159265358979*b822
        - 0.0490873852123405*b823 - 0.0706858347057703*b824
        - 0.0962112750161874*b825 - 0.125663706143592*b826
        - 0.159043128087983*b827 - 0.196349540849362*b828
        - 0.282743338823081*b829 =E= 0;

e264..    x148 - 0.00282743338823081*b830 - 0.00502654824574367*b831
        - 0.00785398163397448*b832 - 0.0122718463030851*b833
        - 0.0176714586764426*b834 - 0.0314159265358979*b835
        - 0.0490873852123405*b836 - 0.0706858347057703*b837
        - 0.0962112750161874*b838 - 0.125663706143592*b839
        - 0.159043128087983*b840 - 0.196349540849362*b841
        - 0.282743338823081*b842 =E= 0;

e265..    x149 - 0.00282743338823081*b843 - 0.00502654824574367*b844
        - 0.00785398163397448*b845 - 0.0122718463030851*b846
        - 0.0176714586764426*b847 - 0.0314159265358979*b848
        - 0.0490873852123405*b849 - 0.0706858347057703*b850
        - 0.0962112750161874*b851 - 0.125663706143592*b852
        - 0.159043128087983*b853 - 0.196349540849362*b854
        - 0.282743338823081*b855 =E= 0;

e266..    x150 - 0.00282743338823081*b856 - 0.00502654824574367*b857
        - 0.00785398163397448*b858 - 0.0122718463030851*b859
        - 0.0176714586764426*b860 - 0.0314159265358979*b861
        - 0.0490873852123405*b862 - 0.0706858347057703*b863
        - 0.0962112750161874*b864 - 0.125663706143592*b865
        - 0.159043128087983*b866 - 0.196349540849362*b867
        - 0.282743338823081*b868 =E= 0;

e267..    x151 - 0.00282743338823081*b869 - 0.00502654824574367*b870
        - 0.00785398163397448*b871 - 0.0122718463030851*b872
        - 0.0176714586764426*b873 - 0.0314159265358979*b874
        - 0.0490873852123405*b875 - 0.0706858347057703*b876
        - 0.0962112750161874*b877 - 0.125663706143592*b878
        - 0.159043128087983*b879 - 0.196349540849362*b880
        - 0.282743338823081*b881 =E= 0;

e268..    x152 - 0.00282743338823081*b882 - 0.00502654824574367*b883
        - 0.00785398163397448*b884 - 0.0122718463030851*b885
        - 0.0176714586764426*b886 - 0.0314159265358979*b887
        - 0.0490873852123405*b888 - 0.0706858347057703*b889
        - 0.0962112750161874*b890 - 0.125663706143592*b891
        - 0.159043128087983*b892 - 0.196349540849362*b893
        - 0.282743338823081*b894 =E= 0;

e269..    x153 - 0.00282743338823081*b895 - 0.00502654824574367*b896
        - 0.00785398163397448*b897 - 0.0122718463030851*b898
        - 0.0176714586764426*b899 - 0.0314159265358979*b900
        - 0.0490873852123405*b901 - 0.0706858347057703*b902
        - 0.0962112750161874*b903 - 0.125663706143592*b904
        - 0.159043128087983*b905 - 0.196349540849362*b906
        - 0.282743338823081*b907 =E= 0;

e270..    b154 + b155 + b156 + b157 + b158 + b159 + b160 + b161 + b162 + b163
        + b164 + b165 + b166 =E= 1;

e271..    b167 + b168 + b169 + b170 + b171 + b172 + b173 + b174 + b175 + b176
        + b177 + b178 + b179 =E= 1;

e272..    b180 + b181 + b182 + b183 + b184 + b185 + b186 + b187 + b188 + b189
        + b190 + b191 + b192 =E= 1;

e273..    b193 + b194 + b195 + b196 + b197 + b198 + b199 + b200 + b201 + b202
        + b203 + b204 + b205 =E= 1;

e274..    b206 + b207 + b208 + b209 + b210 + b211 + b212 + b213 + b214 + b215
        + b216 + b217 + b218 =E= 1;

e275..    b219 + b220 + b221 + b222 + b223 + b224 + b225 + b226 + b227 + b228
        + b229 + b230 + b231 =E= 1;

e276..    b232 + b233 + b234 + b235 + b236 + b237 + b238 + b239 + b240 + b241
        + b242 + b243 + b244 =E= 1;

e277..    b245 + b246 + b247 + b248 + b249 + b250 + b251 + b252 + b253 + b254
        + b255 + b256 + b257 =E= 1;

e278..    b258 + b259 + b260 + b261 + b262 + b263 + b264 + b265 + b266 + b267
        + b268 + b269 + b270 =E= 1;

e279..    b271 + b272 + b273 + b274 + b275 + b276 + b277 + b278 + b279 + b280
        + b281 + b282 + b283 =E= 1;

e280..    b284 + b285 + b286 + b287 + b288 + b289 + b290 + b291 + b292 + b293
        + b294 + b295 + b296 =E= 1;

e281..    b297 + b298 + b299 + b300 + b301 + b302 + b303 + b304 + b305 + b306
        + b307 + b308 + b309 =E= 1;

e282..    b310 + b311 + b312 + b313 + b314 + b315 + b316 + b317 + b318 + b319
        + b320 + b321 + b322 =E= 1;

e283..    b323 + b324 + b325 + b326 + b327 + b328 + b329 + b330 + b331 + b332
        + b333 + b334 + b335 =E= 1;

e284..    b336 + b337 + b338 + b339 + b340 + b341 + b342 + b343 + b344 + b345
        + b346 + b347 + b348 =E= 1;

e285..    b349 + b350 + b351 + b352 + b353 + b354 + b355 + b356 + b357 + b358
        + b359 + b360 + b361 =E= 1;

e286..    b362 + b363 + b364 + b365 + b366 + b367 + b368 + b369 + b370 + b371
        + b372 + b373 + b374 =E= 1;

e287..    b375 + b376 + b377 + b378 + b379 + b380 + b381 + b382 + b383 + b384
        + b385 + b386 + b387 =E= 1;

e288..    b388 + b389 + b390 + b391 + b392 + b393 + b394 + b395 + b396 + b397
        + b398 + b399 + b400 =E= 1;

e289..    b401 + b402 + b403 + b404 + b405 + b406 + b407 + b408 + b409 + b410
        + b411 + b412 + b413 =E= 1;

e290..    b414 + b415 + b416 + b417 + b418 + b419 + b420 + b421 + b422 + b423
        + b424 + b425 + b426 =E= 1;

e291..    b427 + b428 + b429 + b430 + b431 + b432 + b433 + b434 + b435 + b436
        + b437 + b438 + b439 =E= 1;

e292..    b440 + b441 + b442 + b443 + b444 + b445 + b446 + b447 + b448 + b449
        + b450 + b451 + b452 =E= 1;

e293..    b453 + b454 + b455 + b456 + b457 + b458 + b459 + b460 + b461 + b462
        + b463 + b464 + b465 =E= 1;

e294..    b466 + b467 + b468 + b469 + b470 + b471 + b472 + b473 + b474 + b475
        + b476 + b477 + b478 =E= 1;

e295..    b479 + b480 + b481 + b482 + b483 + b484 + b485 + b486 + b487 + b488
        + b489 + b490 + b491 =E= 1;

e296..    b492 + b493 + b494 + b495 + b496 + b497 + b498 + b499 + b500 + b501
        + b502 + b503 + b504 =E= 1;

e297..    b505 + b506 + b507 + b508 + b509 + b510 + b511 + b512 + b513 + b514
        + b515 + b516 + b517 =E= 1;

e298..    b518 + b519 + b520 + b521 + b522 + b523 + b524 + b525 + b526 + b527
        + b528 + b529 + b530 =E= 1;

e299..    b531 + b532 + b533 + b534 + b535 + b536 + b537 + b538 + b539 + b540
        + b541 + b542 + b543 =E= 1;

e300..    b544 + b545 + b546 + b547 + b548 + b549 + b550 + b551 + b552 + b553
        + b554 + b555 + b556 =E= 1;

e301..    b557 + b558 + b559 + b560 + b561 + b562 + b563 + b564 + b565 + b566
        + b567 + b568 + b569 =E= 1;

e302..    b570 + b571 + b572 + b573 + b574 + b575 + b576 + b577 + b578 + b579
        + b580 + b581 + b582 =E= 1;

e303..    b583 + b584 + b585 + b586 + b587 + b588 + b589 + b590 + b591 + b592
        + b593 + b594 + b595 =E= 1;

e304..    b596 + b597 + b598 + b599 + b600 + b601 + b602 + b603 + b604 + b605
        + b606 + b607 + b608 =E= 1;

e305..    b609 + b610 + b611 + b612 + b613 + b614 + b615 + b616 + b617 + b618
        + b619 + b620 + b621 =E= 1;

e306..    b622 + b623 + b624 + b625 + b626 + b627 + b628 + b629 + b630 + b631
        + b632 + b633 + b634 =E= 1;

e307..    b635 + b636 + b637 + b638 + b639 + b640 + b641 + b642 + b643 + b644
        + b645 + b646 + b647 =E= 1;

e308..    b648 + b649 + b650 + b651 + b652 + b653 + b654 + b655 + b656 + b657
        + b658 + b659 + b660 =E= 1;

e309..    b661 + b662 + b663 + b664 + b665 + b666 + b667 + b668 + b669 + b670
        + b671 + b672 + b673 =E= 1;

e310..    b674 + b675 + b676 + b677 + b678 + b679 + b680 + b681 + b682 + b683
        + b684 + b685 + b686 =E= 1;

e311..    b687 + b688 + b689 + b690 + b691 + b692 + b693 + b694 + b695 + b696
        + b697 + b698 + b699 =E= 1;

e312..    b700 + b701 + b702 + b703 + b704 + b705 + b706 + b707 + b708 + b709
        + b710 + b711 + b712 =E= 1;

e313..    b713 + b714 + b715 + b716 + b717 + b718 + b719 + b720 + b721 + b722
        + b723 + b724 + b725 =E= 1;

e314..    b726 + b727 + b728 + b729 + b730 + b731 + b732 + b733 + b734 + b735
        + b736 + b737 + b738 =E= 1;

e315..    b739 + b740 + b741 + b742 + b743 + b744 + b745 + b746 + b747 + b748
        + b749 + b750 + b751 =E= 1;

e316..    b752 + b753 + b754 + b755 + b756 + b757 + b758 + b759 + b760 + b761
        + b762 + b763 + b764 =E= 1;

e317..    b765 + b766 + b767 + b768 + b769 + b770 + b771 + b772 + b773 + b774
        + b775 + b776 + b777 =E= 1;

e318..    b778 + b779 + b780 + b781 + b782 + b783 + b784 + b785 + b786 + b787
        + b788 + b789 + b790 =E= 1;

e319..    b791 + b792 + b793 + b794 + b795 + b796 + b797 + b798 + b799 + b800
        + b801 + b802 + b803 =E= 1;

e320..    b804 + b805 + b806 + b807 + b808 + b809 + b810 + b811 + b812 + b813
        + b814 + b815 + b816 =E= 1;

e321..    b817 + b818 + b819 + b820 + b821 + b822 + b823 + b824 + b825 + b826
        + b827 + b828 + b829 =E= 1;

e322..    b830 + b831 + b832 + b833 + b834 + b835 + b836 + b837 + b838 + b839
        + b840 + b841 + b842 =E= 1;

e323..    b843 + b844 + b845 + b846 + b847 + b848 + b849 + b850 + b851 + b852
        + b853 + b854 + b855 =E= 1;

e324..    b856 + b857 + b858 + b859 + b860 + b861 + b862 + b863 + b864 + b865
        + b866 + b867 + b868 =E= 1;

e325..    b869 + b870 + b871 + b872 + b873 + b874 + b875 + b876 + b877 + b878
        + b879 + b880 + b881 =E= 1;

e326..    b882 + b883 + b884 + b885 + b886 + b887 + b888 + b889 + b890 + b891
        + b892 + b893 + b894 =E= 1;

e327..    b895 + b896 + b897 + b898 + b899 + b900 + b901 + b902 + b903 + b904
        + b905 + b906 + b907 =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 = 0.282743338823081;
x97.lo = 0.00282743338823081; x97.up = 0.282743338823081;
x98.lo = 0.00282743338823081; x98.up = 0.282743338823081;
x99.lo = 0.00282743338823081; x99.up = 0.282743338823081;
x100.lo = 0.00282743338823081; x100.up = 0.282743338823081;
x101.lo = 0.00282743338823081; x101.up = 0.282743338823081;
x102.lo = 0.00282743338823081; x102.up = 0.282743338823081;
x103.lo = 0.00282743338823081; x103.up = 0.282743338823081;
x104.lo = 0.00282743338823081; x104.up = 0.282743338823081;
x105.lo = 0.00282743338823081; x105.up = 0.282743338823081;
x106.lo = 0.00282743338823081; x106.up = 0.282743338823081;
x107.lo = 0.00282743338823081; x107.up = 0.282743338823081;
x108.lo = 0.00282743338823081; x108.up = 0.282743338823081;
x109.lo = 0.00282743338823081; x109.up = 0.282743338823081;
x110.lo = 0.00282743338823081; x110.up = 0.282743338823081;
x111.lo = 0.00282743338823081; x111.up = 0.282743338823081;
x112.lo = 0.00282743338823081; x112.up = 0.282743338823081;
x113.lo = 0.00282743338823081; x113.up = 0.282743338823081;
x114.lo = 0.00282743338823081; x114.up = 0.282743338823081;
x115.lo = 0.00282743338823081; x115.up = 0.282743338823081;
x116.lo = 0.00282743338823081; x116.up = 0.282743338823081;
x117.lo = 0.00282743338823081; x117.up = 0.282743338823081;
x118.lo = 0.00282743338823081; x118.up = 0.282743338823081;
x119.lo = 0.00282743338823081; x119.up = 0.282743338823081;
x120.lo = 0.00282743338823081; x120.up = 0.282743338823081;
x121.lo = 0.00282743338823081; x121.up = 0.282743338823081;
x122.lo = 0.00282743338823081; x122.up = 0.282743338823081;
x123.lo = 0.00282743338823081; x123.up = 0.282743338823081;
x124.lo = 0.00282743338823081; x124.up = 0.282743338823081;
x125.lo = 0.00282743338823081; x125.up = 0.282743338823081;
x126.lo = 0.00282743338823081; x126.up = 0.282743338823081;
x127.lo = 0.00282743338823081; x127.up = 0.282743338823081;
x128.lo = 0.00282743338823081; x128.up = 0.282743338823081;
x129.lo = 0.00282743338823081; x129.up = 0.282743338823081;
x130.lo = 0.00282743338823081; x130.up = 0.282743338823081;
x131.lo = 0.00282743338823081; x131.up = 0.282743338823081;
x132.lo = 0.00282743338823081; x132.up = 0.282743338823081;
x133.lo = 0.00282743338823081; x133.up = 0.282743338823081;
x134.lo = 0.00282743338823081; x134.up = 0.282743338823081;
x135.lo = 0.00282743338823081; x135.up = 0.282743338823081;
x136.lo = 0.00282743338823081; x136.up = 0.282743338823081;
x137.lo = 0.00282743338823081; x137.up = 0.282743338823081;
x138.lo = 0.00282743338823081; x138.up = 0.282743338823081;
x139.lo = 0.00282743338823081; x139.up = 0.282743338823081;
x140.lo = 0.00282743338823081; x140.up = 0.282743338823081;
x141.lo = 0.00282743338823081; x141.up = 0.282743338823081;
x142.lo = 0.00282743338823081; x142.up = 0.282743338823081;
x143.lo = 0.00282743338823081; x143.up = 0.282743338823081;
x144.lo = 0.00282743338823081; x144.up = 0.282743338823081;
x145.lo = 0.00282743338823081; x145.up = 0.282743338823081;
x146.lo = 0.00282743338823081; x146.up = 0.282743338823081;
x147.lo = 0.00282743338823081; x147.up = 0.282743338823081;
x148.lo = 0.00282743338823081; x148.up = 0.282743338823081;
x149.lo = 0.00282743338823081; x149.up = 0.282743338823081;
x150.lo = 0.00282743338823081; x150.up = 0.282743338823081;
x151.lo = 0.00282743338823081; x151.up = 0.282743338823081;
x152.lo = 0.00282743338823081; x152.up = 0.282743338823081;
x153.lo = 0.00282743338823081; x153.up = 0.282743338823081;

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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