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Instance waternd_blacksburg

Formats ams gms osil py
Primal Bounds (infeas ≤ 1e-08)
118251.09320000 p2 ( gdx sol )
(infeas: 6e-11)
Other points (infeas > 1e-08)
131065.41380000 p1 ( gdx sol )
(infeas: 1e-06)
118222.77200000 p3 ( gdx sol )
(infeas: 1e-06)
Dual Bounds
107758.74600000 (COUENNE)
112359.79430000 (LINDO)
118222.77200000 (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 591
#Binary Variables 490
#Integer Variables 0
#Nonlinear Variables 101
#Nonlinear Binary Variables 0
#Nonlinear Integer Variables 0
Objective Sense min
Objective type linear
Objective curvature linear
#Nonzeros in Objective 490
#Nonlinear Nonzeros in Objective 0
#Constraints 205
#Linear Constraints 170
#Quadratic Constraints 0
#Polynomial Constraints 0
#Signomial Constraints 0
#General Nonlinear Constraints 35
Operands in Gen. Nonlin. Functions mul signpower vcpower
Constraints curvature indefinite
#Nonzeros in Jacobian 1363
#Nonlinear Nonzeros in Jacobian 140
#Nonzeros in (Upper-Left) Hessian of Lagrangian 210
#Nonzeros in Diagonal of Hessian of Lagrangian 70
#Blocks in Hessian of Lagrangian 36
Minimal blocksize in Hessian of Lagrangian 1
Maximal blocksize in Hessian of Lagrangian 66
Average blocksize in Hessian of Lagrangian 2.805556
#Semicontinuities 0
#Nonlinear Semicontinuities 0
#SOS type 1 0
#SOS type 2 0
Minimal coefficient 5.0671e-04
Maximal coefficient 1.6884e+05
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
*        206      136       35       35        0        0        0        0
*  
*  Variable counts
*                   x        b        i      s1s      s2s       sc       si
*      Total     cont   binary  integer     sos1     sos2    scont     sint
*        592      102      490        0        0        0        0        0
*  FX     13
*  
*  Nonzero counts
*      Total    const       NL      DLL
*       1854     1714      140        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,b102,b103
          ,b104,b105,b106,b107,b108,b109,b110,b111,b112,b113,b114,b115,b116
          ,b117,b118,b119,b120,b121,b122,b123,b124,b125,b126,b127,b128,b129
          ,b130,b131,b132,b133,b134,b135,b136,b137,b138,b139,b140,b141,b142
          ,b143,b144,b145,b146,b147,b148,b149,b150,b151,b152,b153,b154,b155
          ,b156,b157,b158,b159,b160,b161,b162,b163,b164,b165,b166,b167,b168
          ,b169,b170,b171,b172,b173,b174,b175,b176,b177,b178,b179,b180,b181
          ,b182,b183,b184,b185,b186,b187,b188,b189,b190,b191,b192,b193,b194
          ,b195,b196,b197,b198,b199,b200,b201,b202,b203,b204,b205,b206,b207
          ,b208,b209,b210,b211,b212,b213,b214,b215,b216,b217,b218,b219,b220
          ,b221,b222,b223,b224,b225,b226,b227,b228,b229,b230,b231,b232,b233
          ,b234,b235,b236,b237,b238,b239,b240,b241,b242,b243,b244,b245,b246
          ,b247,b248,b249,b250,b251,b252,b253,b254,b255,b256,b257,b258,b259
          ,b260,b261,b262,b263,b264,b265,b266,b267,b268,b269,b270,b271,b272
          ,b273,b274,b275,b276,b277,b278,b279,b280,b281,b282,b283,b284,b285
          ,b286,b287,b288,b289,b290,b291,b292,b293,b294,b295,b296,b297,b298
          ,b299,b300,b301,b302,b303,b304,b305,b306,b307,b308,b309,b310,b311
          ,b312,b313,b314,b315,b316,b317,b318,b319,b320,b321,b322,b323,b324
          ,b325,b326,b327,b328,b329,b330,b331,b332,b333,b334,b335,b336,b337
          ,b338,b339,b340,b341,b342,b343,b344,b345,b346,b347,b348,b349,b350
          ,b351,b352,b353,b354,b355,b356,b357,b358,b359,b360,b361,b362,b363
          ,b364,b365,b366,b367,b368,b369,b370,b371,b372,b373,b374,b375,b376
          ,b377,b378,b379,b380,b381,b382,b383,b384,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,objvar;

Binary Variables  b102,b103,b104,b105,b106,b107,b108,b109,b110,b111,b112,b113
          ,b114,b115,b116,b117,b118,b119,b120,b121,b122,b123,b124,b125,b126
          ,b127,b128,b129,b130,b131,b132,b133,b134,b135,b136,b137,b138,b139
          ,b140,b141,b142,b143,b144,b145,b146,b147,b148,b149,b150,b151,b152
          ,b153,b154,b155,b156,b157,b158,b159,b160,b161,b162,b163,b164,b165
          ,b166,b167,b168,b169,b170,b171,b172,b173,b174,b175,b176,b177,b178
          ,b179,b180,b181,b182,b183,b184,b185,b186,b187,b188,b189,b190,b191
          ,b192,b193,b194,b195,b196,b197,b198,b199,b200,b201,b202,b203,b204
          ,b205,b206,b207,b208,b209,b210,b211,b212,b213,b214,b215,b216,b217
          ,b218,b219,b220,b221,b222,b223,b224,b225,b226,b227,b228,b229,b230
          ,b231,b232,b233,b234,b235,b236,b237,b238,b239,b240,b241,b242,b243
          ,b244,b245,b246,b247,b248,b249,b250,b251,b252,b253,b254,b255,b256
          ,b257,b258,b259,b260,b261,b262,b263,b264,b265,b266,b267,b268,b269
          ,b270,b271,b272,b273,b274,b275,b276,b277,b278,b279,b280,b281,b282
          ,b283,b284,b285,b286,b287,b288,b289,b290,b291,b292,b293,b294,b295
          ,b296,b297,b298,b299,b300,b301,b302,b303,b304,b305,b306,b307,b308
          ,b309,b310,b311,b312,b313,b314,b315,b316,b317,b318,b319,b320,b321
          ,b322,b323,b324,b325,b326,b327,b328,b329,b330,b331,b332,b333,b334
          ,b335,b336,b337,b338,b339,b340,b341,b342,b343,b344,b345,b346,b347
          ,b348,b349,b350,b351,b352,b353,b354,b355,b356,b357,b358,b359,b360
          ,b361,b362,b363,b364,b365,b366,b367,b368,b369,b370,b371,b372,b373
          ,b374,b375,b376,b377,b378,b379,b380,b381,b382,b383,b384,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;

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;


e1..  - 218.089541088904*b102 - 872.358163940174*b103 - 1962.80586896925*b104
      - 3489.43265617614*b105 - 7851.22347421523*b106 - 13957.7306222119*b107
      - 21808.9541005816*b108 - 31404.8939051698*b109 - 42745.5500567488*b110
      - 55830.9225137742*b111 - 70661.0112928637*b112 - 87235.8163940174*b113
      - 105555.33785878*b114 - 125619.575604061*b115 - 31.041358012654*b116
      - 124.165431991485*b117 - 279.372221995624*b118 - 496.66172802507*b119
      - 1117.48888774597*b120 - 1986.64691174549*b121 - 3104.13580008278*b122
      - 4469.9555521665*b123 - 6084.10617095324*b124 - 7946.58765052986*b125
      - 10057.3999932616*b126 - 12416.5431991485*b127 - 15024.0172741036*b128
      - 17879.8222063008*b129 - 293.132824119496*b130 - 1172.53129591959*b131
      - 2638.19541595867*b132 - 4690.12518423675*b133 - 10552.7816616011*b134
      - 18760.5007335966*b135 - 29313.2824007817*b136 - 42211.1266575723*b137
      - 57454.0335318884*b138 - 75042.0029678902*b139 - 94975.0349879137*b140
      - 117253.129591959*b141 - 141876.286835865*b142 - 168844.506607954*b143
      - 24.1610570098493*b144 - 96.6442279933722*b145 - 217.449512996594*b146
      - 386.576912019514*b147 - 869.798051802275*b148 - 1546.3076478019*b149
      - 2416.10570006443*b150 - 3479.1922081296*b151 - 4735.56717429866*b152
      - 6185.23059396912*b153 - 7828.18246898197*b154 - 9664.42279933722*b155
      - 11693.9515896374*b156 - 13916.7688306774*b157 - 142.086216057922*b158
      - 568.344863961023*b159 - 1278.77594397997*b160 - 2273.37945611476*b161
      - 5115.10377483722*b162 - 9093.51782283504*b163 - 14208.6216003789*b164
      - 20460.4151047621*b165 - 27848.8983495179*b166 - 36374.07130758*b167
      - 46035.9339897748*b168 - 56834.4863961023*b169 - 68769.7285536289*b170
      - 81841.660408222*b171 - 24.8010850101102*b172 - 99.2043399931966*b173
      - 223.209764996503*b174 - 396.81736002003*b175 - 892.839059797037*b176
      - 1587.26943979666*b177 - 2480.10850006614*b178 - 3571.35624013303*b179
      - 4861.01266235955*b180 - 6349.07776202128*b181 - 8035.55154100798*b182
      - 9920.43399931966*b183 - 12003.7251416807*b184 - 14285.4249586424*b185
      - 49.4421630201551*b186 - 197.768651986437*b187 - 444.979466993029*b188
      - 791.074608039932*b189 - 1779.91786759538*b190 - 3164.29843159463*b191
      - 4944.21630013184*b192 - 7119.6714722652*b193 - 9690.66395270388*b194
      - 12657.1937320295*b195 - 16019.2608140095*b196 - 19776.8651986437*b197
      - 23930.0068953506*b198 - 28478.6858852935*b199 - 111.844893045594*b200
      - 447.379571969319*b201 - 1006.60403698423*b202 - 1789.51828809033*b203
      - 4026.4161470847*b204 - 7158.07315108299*b205 - 11184.4893002982*b206
      - 16105.6645925999*b207 - 21921.5990386408*b208 - 28632.2926171153*b209
      - 36237.7453365457*b210 - 44737.9571969319*b211 - 54132.9282195795*b212
      - 64422.6583618775*b213 - 184.168057075076*b214 - 736.672227949479*b215
      - 1657.51251297403*b216 - 2946.68891214874*b217 - 6630.05005049283*b218
      - 11786.75564649*b219 - 18416.8057004911*b220 - 26520.2002089879*b221
      - 36096.9391895216*b222 - 47147.0226070096*b223 - 59670.4504754851*b224
      - 73667.2227949479*b225 - 89137.3396004807*b226 - 106080.800821918*b227
      - 175.687686071619*b228 - 702.750743951805*b229 - 1581.18917397523*b230
      - 2811.00297614189*b231 - 6324.75669456223*b232 - 11244.0119025595*b233
      - 17568.7686004685*b234 - 25299.0267849424*b235 - 34434.7864727147*b236
      - 44976.0476303185*b237 - 56922.8102711404*b238 - 70275.0743951805*b239
      - 85032.840035906*b240 - 101196.107126383*b241 - 92.4840460377012*b242
      - 369.93618397463*b243 - 832.356413986961*b244 - 1479.74473607469*b245
      - 3329.42565524314*b246 - 5918.97894324173*b247 - 9248.40460024662*b248
      - 13317.7026244961*b249 - 18126.8730247988*b250 - 23675.9157835374*b251
      - 29964.8309077588*b252 - 36993.618397463*b253 - 44762.2782702675*b254
      - 53270.8104909373*b255 - 97.7642770398537*b256 - 391.057107973181*b257
      - 879.878492986216*b258 - 1564.22843207896*b259 - 3519.51397119993*b260
      - 6256.91372719843*b261 - 9776.4277002607*b262 - 14078.0558885244*b263
      - 19161.7983013012*b264 - 25027.6549199677*b265 - 31675.6257519734*b266
      - 39105.7107973181*b267 - 47317.9100746253*b268 - 56312.2235466482*b269
      - 15.2006650061966*b270 - 60.8026599958302*b271 - 136.805984997857*b272
      - 243.210640012277*b273 - 547.223939875603*b274 - 972.84255987537*b275
      - 1520.06650004053*b276 - 2188.89576008154*b277 - 2979.33034144618*b278
      - 3891.37024123885*b279 - 4925.01546061779*b280 - 6080.26599958302*b281
      - 7357.12186103012*b282 - 8755.5830391679*b283 - 67.0429330273301*b284
      - 268.171731981609*b285 - 603.386396990548*b286 - 1072.68692805415*b287
      - 2413.54558745134*b288 - 4290.74771145032*b289 - 6704.29330017878*b290
      - 9654.18235235961*b291 - 13140.4148743784*b292 - 17162.990853464*b293
      - 21721.9102947248*b294 - 26817.1731981609*b295 - 32448.7795765434*b296
      - 38616.72940433*b297 - 33.2814560135672*b298 - 133.12582399087*b299
      - 299.533103995308*b300 - 532.50329602688*b301 - 1198.13241572764*b302
      - 2130.01318372713*b303 - 3328.14560008875*b304 - 4792.52966417852*b305
      - 6523.16537916636*b306 - 8520.05273871243*b307 - 10783.1917453526*b308
      - 13312.582399087*b309 - 16108.2247062554*b310 - 19170.1186541781*b311
      - 17.600770007175*b312 - 70.4030799951718*b313 - 158.406929997519*b314
      - 281.612320014215*b315 - 633.627719855962*b316 - 1126.44927985569*b317
      - 1760.07700004693*b318 - 2534.51088009441*b319 - 3449.75092167452*b320
      - 4505.79712143446*b321 - 5702.64948071534*b322 - 7040.30799951718*b323
      - 8518.77268119277*b324 - 10138.0435190365*b325 - 72.1631570294174*b326
      - 288.652627980204*b327 - 649.468412989826*b328 - 1154.61051205828*b329
      - 2597.87365140944*b330 - 4618.44204740834*b331 - 7216.31570019243*b332
      - 10391.4946083871*b333 - 14143.9787788655*b334 - 18473.7681978813*b335
      - 23380.8628709329*b336 - 28865.2627980204*b337 - 34926.9679928904*b338
      - 41565.9784280497*b339 - 9.44041300384839*b340 - 37.7616519974103*b341
      - 84.963716998669*b342 - 151.046608007625*b343 - 339.854867922743*b344
      - 604.186431922598*b345 - 944.041300025174*b346 - 1359.41947205064*b347
      - 1850.32094889815*b348 - 2416.74572876939*b349 - 3058.69381238368*b350
      - 3776.16519974103*b351 - 4569.15989263976*b352 - 5437.67788748322*b353
      - 66.5629120271344*b354 - 266.251647981741*b355 - 599.066207990616*b356
      - 1065.00659205376*b357 - 2396.26483145527*b358 - 4260.02636745425*b359
      - 6656.2912001775*b360 - 9585.05932835704*b361 - 13046.3307583327*b362
      - 17040.1054774249*b363 - 21566.3834907053*b364 - 26625.1647981741*b365
      - 32216.4494125109*b366 - 38340.2373083563*b367 - 48.4821210197638*b368
      - 193.9284839867*b369 - 436.339088993165*b370 - 775.713936039156*b371
      - 1745.35635560324*b372 - 3102.8557436025*b373 - 4848.21210012928*b374
      - 6981.42542426005*b375 - 9502.49572061254*b376 - 12411.4229799513*b377
      - 15708.2072059704*b378 - 19392.84839867*b379 - 23465.3465672855*b380
      - 27925.701693346*b381 - 131.685761053682*b382 - 526.743043963876*b383
      - 1185.17184898143*b384 - 2106.97217610636*b385 - 4740.68739492233*b386
      - 8427.88870292031*b387 - 13168.5761003512*b388 - 18962.7495847064*b389
      - 25810.4091685284*b390 - 33711.5548267323*b391 - 42666.1865693521*b392
      - 52674.3043963876*b393 - 63735.9083329241*b394 - 75850.9983287913*b395
      - 122.565362049964*b396 - 490.261447966378*b397 - 1103.08825798272*b398
      - 1961.04579209899*b399 - 4412.35303099697*b400 - 7844.18316699509*b401
      - 12256.5362003268*b402 - 17649.4121286574*b403 - 24022.8109636607*b404
      - 31376.732681989*b405 - 39711.1772929814*b406 - 49026.1447966378*b407
      - 59321.635216306*b408 - 70597.6485052906*b409 - 61.1226740249167*b410
      - 244.490695983233*b411 - 550.104065991383*b412 - 977.962784049365*b413
      - 2200.41626349979*b414 - 3911.85113549886*b415 - 6112.26740016299*b416
      - 8801.66505632786*b417 - 11980.0441098151*b418 - 15647.4045489815*b419
      - 19803.7463784842*b420 - 24449.0695983233*b421 - 29583.3742201422*b422
      - 35206.6602206541*b423 - 121.285306049442*b424 - 485.141223966729*b425
      - 1091.5677539829*b426 - 1940.56489609796*b427 - 4366.27101500744*b428
      - 7762.25958300559*b429 - 12128.5306003234*b430 - 17465.0840646506*b431
      - 23771.919987539*b432 - 31049.0383458847*b433 - 39296.4391489293*b434
      - 48514.1223966729*b435 - 58702.0881122193*b436 - 69860.3362493607*b437
      - 161.447063065814*b438 - 645.788251955712*b439 - 1453.02356697724*b440
      - 2583.15300813039*b441 - 5812.09426667878*b442 - 10332.6120306763*b443
      - 16144.7063004305*b444 - 23248.377072866*b445 - 31643.6243633599*b446
      - 41330.4481411579*b447 - 52308.8484185616*b448 - 64578.8251955712*b449
      - 78140.378502941*b450 - 92993.5082791622*b451 - 65.2828560266126*b452
      - 261.131423982092*b453 - 587.545703990796*b454 - 1044.52569605273*b455
      - 2350.18281546575*b456 - 4178.10278346475*b457 - 6528.28560017408*b458
      - 9400.73126435017*b459 - 12795.4397822109*b460 - 16712.4111413205*b461
      - 21151.6453466533*b462 - 26113.1423982092*b463 - 31596.9023084241*b464
      - 37602.9250524263*b465 - 188.968267077033*b466 - 755.873067948162*b467
      - 1700.71440297336*b468 - 3023.49227215262*b469 - 6802.85761045355*b470
      - 12093.9690864507*b471 - 18896.8267005039*b472 - 27211.4304490136*b473
      - 37037.7803499782*b474 - 48375.8763674008*b475 - 61225.7185156802*b476
      - 75587.3067948162*b477 - 91460.6412408061*b478 - 108845.721781656*b479
      - 18.0807910073706*b480 - 72.3231639950401*b481 - 162.727118997451*b482
      - 289.292656014603*b483 - 650.908475852033*b484 - 1157.17062385176*b485
      - 1808.07910004821*b486 - 2603.63390409698*b487 - 3543.83503772019*b488
      - 4628.68249747358*b489 - 5858.17628473485*b490 - 7232.31639950401*b491
      - 8751.1028452253*b492 - 10414.5356150102*b493 - 112.164907045724*b494
      - 448.659627969231*b495 - 1009.48416298419*b496 - 1794.63851209059*b497
      - 4037.93665108208*b498 - 7178.55404708036*b499 - 11216.4907002991*b500
      - 16151.7466086016*b501 - 21984.3217826713*b502 - 28714.2162011414*b503
      - 36341.4298725587*b504 - 44865.9627969231*b505 - 54287.8149956012*b506
      - 64606.9864258599*b507 - 56.1624570228947*b508 - 224.649827984594*b509
      - 505.462112992082*b510 - 898.599312045359*b511 - 2021.84845154039*b512
      - 3594.39724753953*b513 - 5616.24570014977*b514 - 8087.39380830125*b515
      - 11007.8415773432*b516 - 14377.5889965772*b517 - 18196.6360702826*b518
      - 22464.9827984594*b519 - 27182.629191806*b520 - 32349.5752289256*b521
      - 154.726769063074*b522 - 618.907075957555*b523 - 1392.54092097819*b524
      - 2475.62830412496*b525 - 5570.16368273377*b526 - 9902.5132147314*b527
      - 15472.6769004126*b528 - 22280.6547368299*b529 - 30326.4467387205*b530
      - 39610.0528766102*b531 - 50131.4731622885*b532 - 61890.7075957555*b533
      - 74887.7562064856*b534 - 89122.61893553*b535 - 43.3618970176765*b536
      - 173.447587988105*b537 - 390.257072993887*b538 - 693.790352035021*b539
      - 1561.02829164514*b540 - 2775.16140764448*b541 - 4336.18970011563*b542
      - 6244.11316823259*b543 - 8498.93181612541*b544 - 11100.645635534*b545
      - 14049.2546297623*b546 - 17344.7587988105*b547 - 20987.1581509386*b548
      - 24976.4526696263*b549 - 50.722219020677*b550 - 202.888875986086*b551
      - 456.499970992849*b552 - 811.555504040966*b553 - 1825.99988358491*b554
      - 3246.22201558413*b555 - 5072.22190013526*b556 - 7303.99953627207*b557
      - 9941.55492882566*b558 - 12984.8880681338*b559 - 16433.9989580615*b560
      - 20288.8875986086*b561 - 24549.5539994374*b562 - 29215.9981412234*b563
      - 67.8429680276562*b564 - 271.371871981389*b565 - 610.586711990435*b566
      - 1085.48748805479*b567 - 2442.3468474448*b568 - 4341.94995144376*b569
      - 6784.29680018091*b570 - 9769.3873923639*b571 - 13297.2217344545*b572
      - 17367.7998135292*b573 - 21981.1216347573*b574 - 27137.1871981389*b575
      - 32835.9965165976*b576 - 39077.5495642862*b577 - 116.805110047616*b578
      - 467.220439967958*b579 - 1051.24598998353*b580 - 1868.88176009434*b581
      - 4204.98395904411*b582 - 7475.52703904232*b583 - 11680.5110003115*b584
      - 16819.9358406265*b585 - 22893.8015711127*b586 - 29902.1081695196*b587
      - 37844.8556447473*b588 - 46722.0439967958*b589 - 56533.6732479157*b590
      - 67279.7433536059*b591 + objvar =E= 0;

e2..  - x32 + x34 + x35 =E= -0.00328762;

e3..  - x34 + x36 + x37 + x38 =E= -0.00319109;

e4..  - x36 + x39 + x40 =E= -0.00162583;

e5..  - x33 + x41 =E= -0.00087317;

e6..  - x41 + x42 + x43 =E= -0.00338478;

e7..  - x42 + x44 =E= -0.00326365;

e8..  - x44 + x45 + x46 =E= -0.01265459;

e9..  - x35 - x45 + x47 =E= -0.00071607;

e10..    x48 + x49 + x50 - x63 =E= -0.00067948;

e11..  - x48 =E= -0.00328762;

e12..  - x37 + x51 - x52 =E= -0.00635758;

e13..  - x49 + x52 =E= -0.00171037;

e14..  - x38 + x53 - x60 =E= -0.00635758;

e15..  - x53 + x54 =E= -0.00162583;

e16..  - x51 + x55 + x56 =E= -0.00325166;

e17..  - x55 =E= -0.00328762;

e18..  - x39 - x56 =E= -0.00065487;

e19..  - x40 + x57 + x58 =E= -0.00653928;

e20..  - x57 - x62 =E= -0.00328762;

e21..  - x59 =E= -0.00069147;

e22..  - x43 + x59 =E= -0.00323967;

e23..    x60 - x61 =E= -0.00074005;

e24..  - x54 + x61 =E= -0.00325166;

e25..  - x58 + x62 =E= -0.00646673;

e26..  - x50 =E= -0.00323166;

e27..    x63 + x64 + x65 - x66 =E= -0.00331223;

e28..  - x64 =E= -0.00321507;

e29..  - x65 =E= -0.00161384;

e30..  - x46 + x66 =E= -0.00264473;

e31..  - x47 =E= -0.00323967;

e32.. SignPower(x32,1.852) - 1.59495210696227*(1.27323954473516*x67)**2.435*(x1
       - x2) =E= 0;

e33.. SignPower(x33,1.852) - 11.205771761802*(1.27323954473516*x68)**2.435*(x1
       - x5) =E= 0;

e34.. SignPower(x34,1.852) - 1.18663740272357*(1.27323954473516*x69)**2.435*(x2
       - x3) =E= 0;

e35.. SignPower(x35,1.852) - 14.3968193495999*(1.27323954473516*x70)**2.435*(x2
       - x9) =E= 0;

e36.. SignPower(x36,1.852) - 2.44810779480808*(1.27323954473516*x71)**2.435*(x3
       - x4) =E= 0;

e37.. SignPower(x37,1.852) - 14.0252885276747*(1.27323954473516*x72)**2.435*(x3
       - x12) =E= 0;

e38.. SignPower(x38,1.852) - 7.0353389054679*(1.27323954473516*x73)**2.435*(x3
       - x14) =E= 0;

e39.. SignPower(x39,1.852) - 3.11004252044289*(1.27323954473516*x74)**2.435*(x4
       - x18) =E= 0;

e40.. SignPower(x40,1.852) - 1.888722607984*(1.27323954473516*x75)**2.435*(x4
       - x19) =E= 0;

e41.. SignPower(x41,1.852) - 1.97989045700326*(1.27323954473516*x76)**2.435*(x5
       - x6) =E= 0;

e42.. SignPower(x42,1.852) - 3.76110678510308*(1.27323954473516*x77)**2.435*(x6
       - x7) =E= 0;

e43.. SignPower(x43,1.852) - 3.557970084762*(1.27323954473516*x78)**2.435*(x6
       - x22) =E= 0;

e44.. SignPower(x44,1.852) - 22.8833654925219*(1.27323954473516*x79)**2.435*(x7
       - x8) =E= 0;

e45.. SignPower(x45,1.852) - 5.18835255797036*(1.27323954473516*x80)**2.435*(x8
       - x9) =E= 0;

e46.. SignPower(x46,1.852) - 10.4515371239884*(1.27323954473516*x81)**2.435*(x8
       - x30) =E= 0;

e47.. SignPower(x47,1.852) - 19.7629065617235*(1.27323954473516*x82)**2.435*(x9
       - x31) =E= 0;

e48.. SignPower(x48,1.852) - 4.82022111261548*(1.27323954473516*x83)**2.435*(
      x10 - x11) =E= 0;

e49.. SignPower(x49,1.852) - 36.8460969794844*(1.27323954473516*x84)**2.435*(
      x10 - x13) =E= 0;

e50.. SignPower(x50,1.852) - 5.22576856199418*(1.27323954473516*x85)**2.435*(
      x10 - x26) =E= 0;

e51.. SignPower(x51,1.852) - 7.17465254716033*(1.27323954473516*x86)**2.435*(
      x12 - x16) =E= 0;

e52.. SignPower(x52,1.852) - 2.64145774215016*(1.27323954473516*x87)**2.435*(
      x13 - x12) =E= 0;

e53.. SignPower(x53,1.852) - 2.83801530259736*(1.27323954473516*x88)**2.435*(
      x14 - x15) =E= 0;

e54.. SignPower(x54,1.852) - 5.69088932405649*(1.27323954473516*x89)**2.435*(
      x15 - x24) =E= 0;

e55.. SignPower(x55,1.852) - 2.86796797069865*(1.27323954473516*x90)**2.435*(
      x16 - x17) =E= 0;

e56.. SignPower(x56,1.852) - 2.15452896113933*(1.27323954473516*x91)**2.435*(
      x16 - x18) =E= 0;

e57.. SignPower(x57,1.852) - 5.32823461222936*(1.27323954473516*x92)**2.435*(
      x19 - x20) =E= 0;

e58.. SignPower(x58,1.852) - 1.8407448956728*(1.27323954473516*x93)**2.435*(x19
       - x25) =E= 0;

e59.. SignPower(x59,1.852) - 19.2382276264565*(1.27323954473516*x94)**2.435*(
      x22 - x21) =E= 0;

e60.. SignPower(x60,1.852) - 3.10116936061281*(1.27323954473516*x95)**2.435*(
      x23 - x14) =E= 0;

e61.. SignPower(x61,1.852) - 6.19350348088199*(1.27323954473516*x96)**2.435*(
      x24 - x23) =E= 0;

e62.. SignPower(x62,1.852) - 2.24810726141632*(1.27323954473516*x97)**2.435*(
      x25 - x20) =E= 0;

e63.. SignPower(x63,1.852) - 8.02184399184347*(1.27323954473516*x98)**2.435*(
      x27 - x10) =E= 0;

e64.. SignPower(x64,1.852) - 6.85779092047186*(1.27323954473516*x99)**2.435*(
      x27 - x28) =E= 0;

e65.. SignPower(x65,1.852) - 5.1271691551641*(1.27323954473516*x100)**2.435*(
      x27 - x29) =E= 0;

e66.. SignPower(x66,1.852) - 2.97797222162956*(1.27323954473516*x101)**2.435*(
      x30 - x27) =E= 0;

e67..    x32 - 2*x67 =L= 0;

e68..    x33 - 2*x68 =L= 0;

e69..    x34 - 2*x69 =L= 0;

e70..    x35 - 2*x70 =L= 0;

e71..    x36 - 2*x71 =L= 0;

e72..    x37 - 2*x72 =L= 0;

e73..    x38 - 2*x73 =L= 0;

e74..    x39 - 2*x74 =L= 0;

e75..    x40 - 2*x75 =L= 0;

e76..    x41 - 2*x76 =L= 0;

e77..    x42 - 2*x77 =L= 0;

e78..    x43 - 2*x78 =L= 0;

e79..    x44 - 2*x79 =L= 0;

e80..    x45 - 2*x80 =L= 0;

e81..    x46 - 2*x81 =L= 0;

e82..    x47 - 2*x82 =L= 0;

e83..    x48 - 2*x83 =L= 0;

e84..    x49 - 2*x84 =L= 0;

e85..    x50 - 2*x85 =L= 0;

e86..    x51 - 2*x86 =L= 0;

e87..    x52 - 2*x87 =L= 0;

e88..    x53 - 2*x88 =L= 0;

e89..    x54 - 2*x89 =L= 0;

e90..    x55 - 2*x90 =L= 0;

e91..    x56 - 2*x91 =L= 0;

e92..    x57 - 2*x92 =L= 0;

e93..    x58 - 2*x93 =L= 0;

e94..    x59 - 2*x94 =L= 0;

e95..    x60 - 2*x95 =L= 0;

e96..    x61 - 2*x96 =L= 0;

e97..    x62 - 2*x97 =L= 0;

e98..    x63 - 2*x98 =L= 0;

e99..    x64 - 2*x99 =L= 0;

e100..    x65 - 2*x100 =L= 0;

e101..    x66 - 2*x101 =L= 0;

e102..    x32 + 2*x67 =G= 0;

e103..    x33 + 2*x68 =G= 0;

e104..    x34 + 2*x69 =G= 0;

e105..    x35 + 2*x70 =G= 0;

e106..    x36 + 2*x71 =G= 0;

e107..    x37 + 2*x72 =G= 0;

e108..    x38 + 2*x73 =G= 0;

e109..    x39 + 2*x74 =G= 0;

e110..    x40 + 2*x75 =G= 0;

e111..    x41 + 2*x76 =G= 0;

e112..    x42 + 2*x77 =G= 0;

e113..    x43 + 2*x78 =G= 0;

e114..    x44 + 2*x79 =G= 0;

e115..    x45 + 2*x80 =G= 0;

e116..    x46 + 2*x81 =G= 0;

e117..    x47 + 2*x82 =G= 0;

e118..    x48 + 2*x83 =G= 0;

e119..    x49 + 2*x84 =G= 0;

e120..    x50 + 2*x85 =G= 0;

e121..    x51 + 2*x86 =G= 0;

e122..    x52 + 2*x87 =G= 0;

e123..    x53 + 2*x88 =G= 0;

e124..    x54 + 2*x89 =G= 0;

e125..    x55 + 2*x90 =G= 0;

e126..    x56 + 2*x91 =G= 0;

e127..    x57 + 2*x92 =G= 0;

e128..    x58 + 2*x93 =G= 0;

e129..    x59 + 2*x94 =G= 0;

e130..    x60 + 2*x95 =G= 0;

e131..    x61 + 2*x96 =G= 0;

e132..    x62 + 2*x97 =G= 0;

e133..    x63 + 2*x98 =G= 0;

e134..    x64 + 2*x99 =G= 0;

e135..    x65 + 2*x100 =G= 0;

e136..    x66 + 2*x101 =G= 0;

e137..    x67 - 0.000506711468928022*b102 - 0.00202684587571209*b103
        - 0.0045604032203522*b104 - 0.00810738350284835*b105
        - 0.0182416128814088*b106 - 0.0324295340113934*b107
        - 0.0506711468928022*b108 - 0.0729664515256351*b109
        - 0.0993154479098923*b110 - 0.129718136045574*b111
        - 0.164174515932679*b112 - 0.202684587571209*b113
        - 0.245248350961163*b114 - 0.291865806102541*b115 =E= 0;

e138..    x68 - 0.000506711468928022*b116 - 0.00202684587571209*b117
        - 0.0045604032203522*b118 - 0.00810738350284835*b119
        - 0.0182416128814088*b120 - 0.0324295340113934*b121
        - 0.0506711468928022*b122 - 0.0729664515256351*b123
        - 0.0993154479098923*b124 - 0.129718136045574*b125
        - 0.164174515932679*b126 - 0.202684587571209*b127
        - 0.245248350961163*b128 - 0.291865806102541*b129 =E= 0;

e139..    x69 - 0.000506711468928022*b130 - 0.00202684587571209*b131
        - 0.0045604032203522*b132 - 0.00810738350284835*b133
        - 0.0182416128814088*b134 - 0.0324295340113934*b135
        - 0.0506711468928022*b136 - 0.0729664515256351*b137
        - 0.0993154479098923*b138 - 0.129718136045574*b139
        - 0.164174515932679*b140 - 0.202684587571209*b141
        - 0.245248350961163*b142 - 0.291865806102541*b143 =E= 0;

e140..    x70 - 0.000506711468928022*b144 - 0.00202684587571209*b145
        - 0.0045604032203522*b146 - 0.00810738350284835*b147
        - 0.0182416128814088*b148 - 0.0324295340113934*b149
        - 0.0506711468928022*b150 - 0.0729664515256351*b151
        - 0.0993154479098923*b152 - 0.129718136045574*b153
        - 0.164174515932679*b154 - 0.202684587571209*b155
        - 0.245248350961163*b156 - 0.291865806102541*b157 =E= 0;

e141..    x71 - 0.000506711468928022*b158 - 0.00202684587571209*b159
        - 0.0045604032203522*b160 - 0.00810738350284835*b161
        - 0.0182416128814088*b162 - 0.0324295340113934*b163
        - 0.0506711468928022*b164 - 0.0729664515256351*b165
        - 0.0993154479098923*b166 - 0.129718136045574*b167
        - 0.164174515932679*b168 - 0.202684587571209*b169
        - 0.245248350961163*b170 - 0.291865806102541*b171 =E= 0;

e142..    x72 - 0.000506711468928022*b172 - 0.00202684587571209*b173
        - 0.0045604032203522*b174 - 0.00810738350284835*b175
        - 0.0182416128814088*b176 - 0.0324295340113934*b177
        - 0.0506711468928022*b178 - 0.0729664515256351*b179
        - 0.0993154479098923*b180 - 0.129718136045574*b181
        - 0.164174515932679*b182 - 0.202684587571209*b183
        - 0.245248350961163*b184 - 0.291865806102541*b185 =E= 0;

e143..    x73 - 0.000506711468928022*b186 - 0.00202684587571209*b187
        - 0.0045604032203522*b188 - 0.00810738350284835*b189
        - 0.0182416128814088*b190 - 0.0324295340113934*b191
        - 0.0506711468928022*b192 - 0.0729664515256351*b193
        - 0.0993154479098923*b194 - 0.129718136045574*b195
        - 0.164174515932679*b196 - 0.202684587571209*b197
        - 0.245248350961163*b198 - 0.291865806102541*b199 =E= 0;

e144..    x74 - 0.000506711468928022*b200 - 0.00202684587571209*b201
        - 0.0045604032203522*b202 - 0.00810738350284835*b203
        - 0.0182416128814088*b204 - 0.0324295340113934*b205
        - 0.0506711468928022*b206 - 0.0729664515256351*b207
        - 0.0993154479098923*b208 - 0.129718136045574*b209
        - 0.164174515932679*b210 - 0.202684587571209*b211
        - 0.245248350961163*b212 - 0.291865806102541*b213 =E= 0;

e145..    x75 - 0.000506711468928022*b214 - 0.00202684587571209*b215
        - 0.0045604032203522*b216 - 0.00810738350284835*b217
        - 0.0182416128814088*b218 - 0.0324295340113934*b219
        - 0.0506711468928022*b220 - 0.0729664515256351*b221
        - 0.0993154479098923*b222 - 0.129718136045574*b223
        - 0.164174515932679*b224 - 0.202684587571209*b225
        - 0.245248350961163*b226 - 0.291865806102541*b227 =E= 0;

e146..    x76 - 0.000506711468928022*b228 - 0.00202684587571209*b229
        - 0.0045604032203522*b230 - 0.00810738350284835*b231
        - 0.0182416128814088*b232 - 0.0324295340113934*b233
        - 0.0506711468928022*b234 - 0.0729664515256351*b235
        - 0.0993154479098923*b236 - 0.129718136045574*b237
        - 0.164174515932679*b238 - 0.202684587571209*b239
        - 0.245248350961163*b240 - 0.291865806102541*b241 =E= 0;

e147..    x77 - 0.000506711468928022*b242 - 0.00202684587571209*b243
        - 0.0045604032203522*b244 - 0.00810738350284835*b245
        - 0.0182416128814088*b246 - 0.0324295340113934*b247
        - 0.0506711468928022*b248 - 0.0729664515256351*b249
        - 0.0993154479098923*b250 - 0.129718136045574*b251
        - 0.164174515932679*b252 - 0.202684587571209*b253
        - 0.245248350961163*b254 - 0.291865806102541*b255 =E= 0;

e148..    x78 - 0.000506711468928022*b256 - 0.00202684587571209*b257
        - 0.0045604032203522*b258 - 0.00810738350284835*b259
        - 0.0182416128814088*b260 - 0.0324295340113934*b261
        - 0.0506711468928022*b262 - 0.0729664515256351*b263
        - 0.0993154479098923*b264 - 0.129718136045574*b265
        - 0.164174515932679*b266 - 0.202684587571209*b267
        - 0.245248350961163*b268 - 0.291865806102541*b269 =E= 0;

e149..    x79 - 0.000506711468928022*b270 - 0.00202684587571209*b271
        - 0.0045604032203522*b272 - 0.00810738350284835*b273
        - 0.0182416128814088*b274 - 0.0324295340113934*b275
        - 0.0506711468928022*b276 - 0.0729664515256351*b277
        - 0.0993154479098923*b278 - 0.129718136045574*b279
        - 0.164174515932679*b280 - 0.202684587571209*b281
        - 0.245248350961163*b282 - 0.291865806102541*b283 =E= 0;

e150..    x80 - 0.000506711468928022*b284 - 0.00202684587571209*b285
        - 0.0045604032203522*b286 - 0.00810738350284835*b287
        - 0.0182416128814088*b288 - 0.0324295340113934*b289
        - 0.0506711468928022*b290 - 0.0729664515256351*b291
        - 0.0993154479098923*b292 - 0.129718136045574*b293
        - 0.164174515932679*b294 - 0.202684587571209*b295
        - 0.245248350961163*b296 - 0.291865806102541*b297 =E= 0;

e151..    x81 - 0.000506711468928022*b298 - 0.00202684587571209*b299
        - 0.0045604032203522*b300 - 0.00810738350284835*b301
        - 0.0182416128814088*b302 - 0.0324295340113934*b303
        - 0.0506711468928022*b304 - 0.0729664515256351*b305
        - 0.0993154479098923*b306 - 0.129718136045574*b307
        - 0.164174515932679*b308 - 0.202684587571209*b309
        - 0.245248350961163*b310 - 0.291865806102541*b311 =E= 0;

e152..    x82 - 0.000506711468928022*b312 - 0.00202684587571209*b313
        - 0.0045604032203522*b314 - 0.00810738350284835*b315
        - 0.0182416128814088*b316 - 0.0324295340113934*b317
        - 0.0506711468928022*b318 - 0.0729664515256351*b319
        - 0.0993154479098923*b320 - 0.129718136045574*b321
        - 0.164174515932679*b322 - 0.202684587571209*b323
        - 0.245248350961163*b324 - 0.291865806102541*b325 =E= 0;

e153..    x83 - 0.000506711468928022*b326 - 0.00202684587571209*b327
        - 0.0045604032203522*b328 - 0.00810738350284835*b329
        - 0.0182416128814088*b330 - 0.0324295340113934*b331
        - 0.0506711468928022*b332 - 0.0729664515256351*b333
        - 0.0993154479098923*b334 - 0.129718136045574*b335
        - 0.164174515932679*b336 - 0.202684587571209*b337
        - 0.245248350961163*b338 - 0.291865806102541*b339 =E= 0;

e154..    x84 - 0.000506711468928022*b340 - 0.00202684587571209*b341
        - 0.0045604032203522*b342 - 0.00810738350284835*b343
        - 0.0182416128814088*b344 - 0.0324295340113934*b345
        - 0.0506711468928022*b346 - 0.0729664515256351*b347
        - 0.0993154479098923*b348 - 0.129718136045574*b349
        - 0.164174515932679*b350 - 0.202684587571209*b351
        - 0.245248350961163*b352 - 0.291865806102541*b353 =E= 0;

e155..    x85 - 0.000506711468928022*b354 - 0.00202684587571209*b355
        - 0.0045604032203522*b356 - 0.00810738350284835*b357
        - 0.0182416128814088*b358 - 0.0324295340113934*b359
        - 0.0506711468928022*b360 - 0.0729664515256351*b361
        - 0.0993154479098923*b362 - 0.129718136045574*b363
        - 0.164174515932679*b364 - 0.202684587571209*b365
        - 0.245248350961163*b366 - 0.291865806102541*b367 =E= 0;

e156..    x86 - 0.000506711468928022*b368 - 0.00202684587571209*b369
        - 0.0045604032203522*b370 - 0.00810738350284835*b371
        - 0.0182416128814088*b372 - 0.0324295340113934*b373
        - 0.0506711468928022*b374 - 0.0729664515256351*b375
        - 0.0993154479098923*b376 - 0.129718136045574*b377
        - 0.164174515932679*b378 - 0.202684587571209*b379
        - 0.245248350961163*b380 - 0.291865806102541*b381 =E= 0;

e157..    x87 - 0.000506711468928022*b382 - 0.00202684587571209*b383
        - 0.0045604032203522*b384 - 0.00810738350284835*b385
        - 0.0182416128814088*b386 - 0.0324295340113934*b387
        - 0.0506711468928022*b388 - 0.0729664515256351*b389
        - 0.0993154479098923*b390 - 0.129718136045574*b391
        - 0.164174515932679*b392 - 0.202684587571209*b393
        - 0.245248350961163*b394 - 0.291865806102541*b395 =E= 0;

e158..    x88 - 0.000506711468928022*b396 - 0.00202684587571209*b397
        - 0.0045604032203522*b398 - 0.00810738350284835*b399
        - 0.0182416128814088*b400 - 0.0324295340113934*b401
        - 0.0506711468928022*b402 - 0.0729664515256351*b403
        - 0.0993154479098923*b404 - 0.129718136045574*b405
        - 0.164174515932679*b406 - 0.202684587571209*b407
        - 0.245248350961163*b408 - 0.291865806102541*b409 =E= 0;

e159..    x89 - 0.000506711468928022*b410 - 0.00202684587571209*b411
        - 0.0045604032203522*b412 - 0.00810738350284835*b413
        - 0.0182416128814088*b414 - 0.0324295340113934*b415
        - 0.0506711468928022*b416 - 0.0729664515256351*b417
        - 0.0993154479098923*b418 - 0.129718136045574*b419
        - 0.164174515932679*b420 - 0.202684587571209*b421
        - 0.245248350961163*b422 - 0.291865806102541*b423 =E= 0;

e160..    x90 - 0.000506711468928022*b424 - 0.00202684587571209*b425
        - 0.0045604032203522*b426 - 0.00810738350284835*b427
        - 0.0182416128814088*b428 - 0.0324295340113934*b429
        - 0.0506711468928022*b430 - 0.0729664515256351*b431
        - 0.0993154479098923*b432 - 0.129718136045574*b433
        - 0.164174515932679*b434 - 0.202684587571209*b435
        - 0.245248350961163*b436 - 0.291865806102541*b437 =E= 0;

e161..    x91 - 0.000506711468928022*b438 - 0.00202684587571209*b439
        - 0.0045604032203522*b440 - 0.00810738350284835*b441
        - 0.0182416128814088*b442 - 0.0324295340113934*b443
        - 0.0506711468928022*b444 - 0.0729664515256351*b445
        - 0.0993154479098923*b446 - 0.129718136045574*b447
        - 0.164174515932679*b448 - 0.202684587571209*b449
        - 0.245248350961163*b450 - 0.291865806102541*b451 =E= 0;

e162..    x92 - 0.000506711468928022*b452 - 0.00202684587571209*b453
        - 0.0045604032203522*b454 - 0.00810738350284835*b455
        - 0.0182416128814088*b456 - 0.0324295340113934*b457
        - 0.0506711468928022*b458 - 0.0729664515256351*b459
        - 0.0993154479098923*b460 - 0.129718136045574*b461
        - 0.164174515932679*b462 - 0.202684587571209*b463
        - 0.245248350961163*b464 - 0.291865806102541*b465 =E= 0;

e163..    x93 - 0.000506711468928022*b466 - 0.00202684587571209*b467
        - 0.0045604032203522*b468 - 0.00810738350284835*b469
        - 0.0182416128814088*b470 - 0.0324295340113934*b471
        - 0.0506711468928022*b472 - 0.0729664515256351*b473
        - 0.0993154479098923*b474 - 0.129718136045574*b475
        - 0.164174515932679*b476 - 0.202684587571209*b477
        - 0.245248350961163*b478 - 0.291865806102541*b479 =E= 0;

e164..    x94 - 0.000506711468928022*b480 - 0.00202684587571209*b481
        - 0.0045604032203522*b482 - 0.00810738350284835*b483
        - 0.0182416128814088*b484 - 0.0324295340113934*b485
        - 0.0506711468928022*b486 - 0.0729664515256351*b487
        - 0.0993154479098923*b488 - 0.129718136045574*b489
        - 0.164174515932679*b490 - 0.202684587571209*b491
        - 0.245248350961163*b492 - 0.291865806102541*b493 =E= 0;

e165..    x95 - 0.000506711468928022*b494 - 0.00202684587571209*b495
        - 0.0045604032203522*b496 - 0.00810738350284835*b497
        - 0.0182416128814088*b498 - 0.0324295340113934*b499
        - 0.0506711468928022*b500 - 0.0729664515256351*b501
        - 0.0993154479098923*b502 - 0.129718136045574*b503
        - 0.164174515932679*b504 - 0.202684587571209*b505
        - 0.245248350961163*b506 - 0.291865806102541*b507 =E= 0;

e166..    x96 - 0.000506711468928022*b508 - 0.00202684587571209*b509
        - 0.0045604032203522*b510 - 0.00810738350284835*b511
        - 0.0182416128814088*b512 - 0.0324295340113934*b513
        - 0.0506711468928022*b514 - 0.0729664515256351*b515
        - 0.0993154479098923*b516 - 0.129718136045574*b517
        - 0.164174515932679*b518 - 0.202684587571209*b519
        - 0.245248350961163*b520 - 0.291865806102541*b521 =E= 0;

e167..    x97 - 0.000506711468928022*b522 - 0.00202684587571209*b523
        - 0.0045604032203522*b524 - 0.00810738350284835*b525
        - 0.0182416128814088*b526 - 0.0324295340113934*b527
        - 0.0506711468928022*b528 - 0.0729664515256351*b529
        - 0.0993154479098923*b530 - 0.129718136045574*b531
        - 0.164174515932679*b532 - 0.202684587571209*b533
        - 0.245248350961163*b534 - 0.291865806102541*b535 =E= 0;

e168..    x98 - 0.000506711468928022*b536 - 0.00202684587571209*b537
        - 0.0045604032203522*b538 - 0.00810738350284835*b539
        - 0.0182416128814088*b540 - 0.0324295340113934*b541
        - 0.0506711468928022*b542 - 0.0729664515256351*b543
        - 0.0993154479098923*b544 - 0.129718136045574*b545
        - 0.164174515932679*b546 - 0.202684587571209*b547
        - 0.245248350961163*b548 - 0.291865806102541*b549 =E= 0;

e169..    x99 - 0.000506711468928022*b550 - 0.00202684587571209*b551
        - 0.0045604032203522*b552 - 0.00810738350284835*b553
        - 0.0182416128814088*b554 - 0.0324295340113934*b555
        - 0.0506711468928022*b556 - 0.0729664515256351*b557
        - 0.0993154479098923*b558 - 0.129718136045574*b559
        - 0.164174515932679*b560 - 0.202684587571209*b561
        - 0.245248350961163*b562 - 0.291865806102541*b563 =E= 0;

e170..    x100 - 0.000506711468928022*b564 - 0.00202684587571209*b565
        - 0.0045604032203522*b566 - 0.00810738350284835*b567
        - 0.0182416128814088*b568 - 0.0324295340113934*b569
        - 0.0506711468928022*b570 - 0.0729664515256351*b571
        - 0.0993154479098923*b572 - 0.129718136045574*b573
        - 0.164174515932679*b574 - 0.202684587571209*b575
        - 0.245248350961163*b576 - 0.291865806102541*b577 =E= 0;

e171..    x101 - 0.000506711468928022*b578 - 0.00202684587571209*b579
        - 0.0045604032203522*b580 - 0.00810738350284835*b581
        - 0.0182416128814088*b582 - 0.0324295340113934*b583
        - 0.0506711468928022*b584 - 0.0729664515256351*b585
        - 0.0993154479098923*b586 - 0.129718136045574*b587
        - 0.164174515932679*b588 - 0.202684587571209*b589
        - 0.245248350961163*b590 - 0.291865806102541*b591 =E= 0;

e172..    b102 + b103 + b104 + b105 + b106 + b107 + b108 + b109 + b110 + b111
        + b112 + b113 + b114 + b115 =E= 1;

e173..    b116 + b117 + b118 + b119 + b120 + b121 + b122 + b123 + b124 + b125
        + b126 + b127 + b128 + b129 =E= 1;

e174..    b130 + b131 + b132 + b133 + b134 + b135 + b136 + b137 + b138 + b139
        + b140 + b141 + b142 + b143 =E= 1;

e175..    b144 + b145 + b146 + b147 + b148 + b149 + b150 + b151 + b152 + b153
        + b154 + b155 + b156 + b157 =E= 1;

e176..    b158 + b159 + b160 + b161 + b162 + b163 + b164 + b165 + b166 + b167
        + b168 + b169 + b170 + b171 =E= 1;

e177..    b172 + b173 + b174 + b175 + b176 + b177 + b178 + b179 + b180 + b181
        + b182 + b183 + b184 + b185 =E= 1;

e178..    b186 + b187 + b188 + b189 + b190 + b191 + b192 + b193 + b194 + b195
        + b196 + b197 + b198 + b199 =E= 1;

e179..    b200 + b201 + b202 + b203 + b204 + b205 + b206 + b207 + b208 + b209
        + b210 + b211 + b212 + b213 =E= 1;

e180..    b214 + b215 + b216 + b217 + b218 + b219 + b220 + b221 + b222 + b223
        + b224 + b225 + b226 + b227 =E= 1;

e181..    b228 + b229 + b230 + b231 + b232 + b233 + b234 + b235 + b236 + b237
        + b238 + b239 + b240 + b241 =E= 1;

e182..    b242 + b243 + b244 + b245 + b246 + b247 + b248 + b249 + b250 + b251
        + b252 + b253 + b254 + b255 =E= 1;

e183..    b256 + b257 + b258 + b259 + b260 + b261 + b262 + b263 + b264 + b265
        + b266 + b267 + b268 + b269 =E= 1;

e184..    b270 + b271 + b272 + b273 + b274 + b275 + b276 + b277 + b278 + b279
        + b280 + b281 + b282 + b283 =E= 1;

e185..    b284 + b285 + b286 + b287 + b288 + b289 + b290 + b291 + b292 + b293
        + b294 + b295 + b296 + b297 =E= 1;

e186..    b298 + b299 + b300 + b301 + b302 + b303 + b304 + b305 + b306 + b307
        + b308 + b309 + b310 + b311 =E= 1;

e187..    b312 + b313 + b314 + b315 + b316 + b317 + b318 + b319 + b320 + b321
        + b322 + b323 + b324 + b325 =E= 1;

e188..    b326 + b327 + b328 + b329 + b330 + b331 + b332 + b333 + b334 + b335
        + b336 + b337 + b338 + b339 =E= 1;

e189..    b340 + b341 + b342 + b343 + b344 + b345 + b346 + b347 + b348 + b349
        + b350 + b351 + b352 + b353 =E= 1;

e190..    b354 + b355 + b356 + b357 + b358 + b359 + b360 + b361 + b362 + b363
        + b364 + b365 + b366 + b367 =E= 1;

e191..    b368 + b369 + b370 + b371 + b372 + b373 + b374 + b375 + b376 + b377
        + b378 + b379 + b380 + b381 =E= 1;

e192..    b382 + b383 + b384 + b385 + b386 + b387 + b388 + b389 + b390 + b391
        + b392 + b393 + b394 + b395 =E= 1;

e193..    b396 + b397 + b398 + b399 + b400 + b401 + b402 + b403 + b404 + b405
        + b406 + b407 + b408 + b409 =E= 1;

e194..    b410 + b411 + b412 + b413 + b414 + b415 + b416 + b417 + b418 + b419
        + b420 + b421 + b422 + b423 =E= 1;

e195..    b424 + b425 + b426 + b427 + b428 + b429 + b430 + b431 + b432 + b433
        + b434 + b435 + b436 + b437 =E= 1;

e196..    b438 + b439 + b440 + b441 + b442 + b443 + b444 + b445 + b446 + b447
        + b448 + b449 + b450 + b451 =E= 1;

e197..    b452 + b453 + b454 + b455 + b456 + b457 + b458 + b459 + b460 + b461
        + b462 + b463 + b464 + b465 =E= 1;

e198..    b466 + b467 + b468 + b469 + b470 + b471 + b472 + b473 + b474 + b475
        + b476 + b477 + b478 + b479 =E= 1;

e199..    b480 + b481 + b482 + b483 + b484 + b485 + b486 + b487 + b488 + b489
        + b490 + b491 + b492 + b493 =E= 1;

e200..    b494 + b495 + b496 + b497 + b498 + b499 + b500 + b501 + b502 + b503
        + b504 + b505 + b506 + b507 =E= 1;

e201..    b508 + b509 + b510 + b511 + b512 + b513 + b514 + b515 + b516 + b517
        + b518 + b519 + b520 + b521 =E= 1;

e202..    b522 + b523 + b524 + b525 + b526 + b527 + b528 + b529 + b530 + b531
        + b532 + b533 + b534 + b535 =E= 1;

e203..    b536 + b537 + b538 + b539 + b540 + b541 + b542 + b543 + b544 + b545
        + b546 + b547 + b548 + b549 =E= 1;

e204..    b550 + b551 + b552 + b553 + b554 + b555 + b556 + b557 + b558 + b559
        + b560 + b561 + b562 + b563 =E= 1;

e205..    b564 + b565 + b566 + b567 + b568 + b569 + b570 + b571 + b572 + b573
        + b574 + b575 + b576 + b577 =E= 1;

e206..    b578 + b579 + b580 + b581 + b582 + b583 + b584 + b585 + b586 + b587
        + b588 + b589 + b590 + b591 =E= 1;

* set non-default bounds
x1.fx = 715.564563;
x2.lo = 682.578941; x2.up = 715.568941;
x3.lo = 679.835732; x3.up = 715.565732;
x4.lo = 676.482921; x4.up = 715.572921;
x5.lo = 686.388954; x5.up = 715.568954;
x6.lo = 682.731342; x6.up = 715.571342;
x7.lo = 678.921329; x7.up = 715.571329;
x8.lo = 678.311727; x8.up = 715.571727;
x9.lo = 678.311727; x9.up = 715.571727;
x10.lo = 672.97771; x10.up = 715.56771;
x11.lo = 676.482921; x11.up = 715.572921;
x12.lo = 681.969339; x12.up = 715.569339;
x13.lo = 673.13011; x13.up = 715.57011;
x14.lo = 681.207337; x14.up = 715.567337;
x15.lo = 683.188543; x15.up = 715.568543;
x16.lo = 683.493344; x16.up = 715.413344;
x17.lo = 685.017349; x17.up = 715.567349;
x18.lo = 672.825309; x18.up = 715.565309;
x19.lo = 683.493344; x19.up = 715.573344;
x20.lo = 685.16975; x20.up = 715.56975;
x21.lo = 682.27414; x21.up = 715.56414;
x22.lo = 682.731342; x22.up = 715.571342;
x23.lo = 683.493344; x23.up = 715.573344;
x24.lo = 687.303357; x24.up = 715.573357;
x25.lo = 693.856578; x25.up = 715.566578;
x26.lo = 675.568518; x26.up = 715.568518;
x27.lo = 669.9297; x27.up = 715.5697;
x28.lo = 670.691702; x28.up = 715.571702;
x29.lo = 669.624899; x29.up = 715.564899;
x30.lo = 676.17812; x30.up = 715.56812;
x31.lo = 677.092523; x31.up = 715.572523;
x67.lo = 0.000506711468928022; x67.up = 0.291865806102541;
x68.lo = 0.000506711468928022; x68.up = 0.291865806102541;
x69.lo = 0.000506711468928022; x69.up = 0.291865806102541;
x70.lo = 0.000506711468928022; x70.up = 0.291865806102541;
x71.lo = 0.000506711468928022; x71.up = 0.291865806102541;
x72.lo = 0.000506711468928022; x72.up = 0.291865806102541;
x73.lo = 0.000506711468928022; x73.up = 0.291865806102541;
x74.lo = 0.000506711468928022; x74.up = 0.291865806102541;
x75.lo = 0.000506711468928022; x75.up = 0.291865806102541;
x76.lo = 0.000506711468928022; x76.up = 0.291865806102541;
x77.lo = 0.000506711468928022; x77.up = 0.291865806102541;
x78.lo = 0.000506711468928022; x78.up = 0.291865806102541;
x79.lo = 0.000506711468928022; x79.up = 0.291865806102541;
x80.lo = 0.000506711468928022; x80.up = 0.291865806102541;
x81.lo = 0.000506711468928022; x81.up = 0.291865806102541;
x82.lo = 0.000506711468928022; x82.up = 0.291865806102541;
x83.lo = 0.000506711468928022; x83.up = 0.291865806102541;
x84.lo = 0.000506711468928022; x84.up = 0.291865806102541;
x85.lo = 0.000506711468928022; x85.up = 0.291865806102541;
x86.lo = 0.000506711468928022; x86.up = 0.291865806102541;
x87.lo = 0.000506711468928022; x87.up = 0.291865806102541;
x88.lo = 0.000506711468928022; x88.up = 0.291865806102541;
x89.lo = 0.000506711468928022; x89.up = 0.291865806102541;
x90.lo = 0.000506711468928022; x90.up = 0.291865806102541;
x91.lo = 0.000506711468928022; x91.up = 0.291865806102541;
x92.lo = 0.000506711468928022; x92.up = 0.291865806102541;
x93.lo = 0.000506711468928022; x93.up = 0.291865806102541;
x94.lo = 0.000506711468928022; x94.up = 0.291865806102541;
x95.lo = 0.000506711468928022; x95.up = 0.291865806102541;
x96.lo = 0.000506711468928022; x96.up = 0.291865806102541;
x97.lo = 0.000506711468928022; x97.up = 0.291865806102541;
x98.lo = 0.000506711468928022; x98.up = 0.291865806102541;
x99.lo = 0.000506711468928022; x99.up = 0.291865806102541;
x100.lo = 0.000506711468928022; x100.up = 0.291865806102541;
x101.lo = 0.000506711468928022; x101.up = 0.291865806102541;
b260.fx = 1;
b330.fx = 1;
b358.fx = 1;
b375.fx = 1;
b401.fx = 1;
b430.fx = 1;
b498.fx = 1;
b512.fx = 1;
b526.fx = 1;
b554.fx = 1;
b568.fx = 1;
b582.fx = 1;

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: 2024-03-25 Git hash: 1dae024f
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