MINLPLib

A Library of Mixed-Integer and Continuous Nonlinear Programming Instances

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Instance: nuclearva

Formats ams gms lp mod nl osil pip
Primal Bounds (infeas ≤ 1e-08)
-1.01249406 p1 ( gdx sol )
(infeas: 5e-14)
-1.01343343 p2 ( gdx sol )
(infeas: 4e-14)
-1.01361736 p3 ( gdx sol )
(infeas: 4e-13)
-1.01375914 p4 ( gdx sol )
(infeas: 1e-14)
Other points (infeas > 1e-08)  
Dual Bounds
-9987310941.00000000 (LINDO)
References Quist, Arie J, van Geemert, R, Hoogenboom, J E, Illes, Tibor, de Klerk, E, Roos, C, and Terlaky, Tamas, Finding Optimal Nuclear Reactor Core Reload Patterns Using Nonlinear Optimization and Search Heuristics, Engineering Optimization, 32:2, 1999, 143-176.
Source MacMINLP model c-reload.mod with c-reload-14a.dat
Application Nuclear Reactor Core Reload Pattern
Added to library 01 May 2001
Problem type MBQCP
#Variables 351
#Binary Variables 168
#Integer Variables 0
#Nonlinear Variables 351
#Nonlinear Binary Variables 168
#Nonlinear Integer Variables 0
Objective Sense min
Objective type linear
Objective curvature linear
#Nonzeros in Objective 1
#Nonlinear Nonzeros in Objective 0
#Constraints 317
#Linear Constraints 50
#Quadratic Constraints 267
#Polynomial Constraints 0
#Signomial Constraints 0
#General Nonlinear Constraints 0
Operands in Gen. Nonlin. Functions  
Constraints curvature indefinite
#Nonzeros in Jacobian 2543
#Nonlinear Nonzeros in Jacobian 2024
#Nonzeros in (Upper-Left) Hessian of Lagrangian 840
#Nonzeros in Diagonal of Hessian of Lagrangian 0
#Blocks in Hessian of Lagrangian 9
Minimal blocksize in Hessian of Lagrangian 15
Maximal blocksize in Hessian of Lagrangian 161
Average blocksize in Hessian of Lagrangian 39.0
#Semicontinuities 0
#Nonlinear Semicontinuities 0
#SOS type 1 0
#SOS type 2 0
Infeasibility of initial point 1.029
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
*        318      234        0       84        0        0        0        0
*  
*  Variable counts
*                   x        b        i      s1s      s2s       sc       si
*      Total     cont   binary  integer     sos1     sos2    scont     sint
*        352      184      168        0        0        0        0        0
*  FX      0
*  
*  Nonzero counts
*      Total    const       NL      DLL
*       2545      521     2024        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,x154,x155
          ,x156,x157,x158,x159,x160,x161,x162,x163,x164,x165,x166,x167,x168
          ,x169,x170,x171,x172,x173,x174,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,objvar,x344,x345,x346,x347,x348,x349,x350
          ,x351,x352;

Positive 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
          ,x154,x155,x156,x157,x158,x159,x160,x161,x162,x163,x164,x165,x166
          ,x167,x168,x169,x170,x171,x172,x173,x174;

Binary Variables  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;

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;


e1..  - x174 - objvar =E= 0;

e2..    0.5*b175 + b187 + b199 + b211 + b223 + b235 + 0.5*b247 + b259 + b271
      + b283 + 0.5*b295 + b307 + b319 + 0.5*b331 =E= 1;

e3..    0.5*b176 + b188 + b200 + b212 + b224 + b236 + 0.5*b248 + b260 + b272
      + b284 + 0.5*b296 + b308 + b320 + 0.5*b332 =E= 1;

e4..    0.5*b177 + b189 + b201 + b213 + b225 + b237 + 0.5*b249 + b261 + b273
      + b285 + 0.5*b297 + b309 + b321 + 0.5*b333 =E= 1;

e5..    0.5*b178 + b190 + b202 + b214 + b226 + b238 + 0.5*b250 + b262 + b274
      + b286 + 0.5*b298 + b310 + b322 + 0.5*b334 =E= 1;

e6..    0.5*b179 + b191 + b203 + b215 + b227 + b239 + 0.5*b251 + b263 + b275
      + b287 + 0.5*b299 + b311 + b323 + 0.5*b335 =E= 1;

e7..    0.5*b180 + b192 + b204 + b216 + b228 + b240 + 0.5*b252 + b264 + b276
      + b288 + 0.5*b300 + b312 + b324 + 0.5*b336 =E= 1;

e8..    0.5*b181 + b193 + b205 + b217 + b229 + b241 + 0.5*b253 + b265 + b277
      + b289 + 0.5*b301 + b313 + b325 + 0.5*b337 =E= 1;

e9..    0.5*b182 + b194 + b206 + b218 + b230 + b242 + 0.5*b254 + b266 + b278
      + b290 + 0.5*b302 + b314 + b326 + 0.5*b338 =E= 1;

e10..    0.5*b183 + b195 + b207 + b219 + b231 + b243 + 0.5*b255 + b267 + b279
       + b291 + 0.5*b303 + b315 + b327 + 0.5*b339 =E= 1;

e11..    0.5*b184 + b196 + b208 + b220 + b232 + b244 + 0.5*b256 + b268 + b280
       + b292 + 0.5*b304 + b316 + b328 + 0.5*b340 =E= 1;

e12..    0.5*b185 + b197 + b209 + b221 + b233 + b245 + 0.5*b257 + b269 + b281
       + b293 + 0.5*b305 + b317 + b329 + 0.5*b341 =E= 1;

e13..    0.5*b186 + b198 + b210 + b222 + b234 + b246 + 0.5*b258 + b270 + b282
       + b294 + 0.5*b306 + b318 + b330 + 0.5*b342 =E= 1;

e14..    b175 + b176 + b177 + b178 + b179 + b180 + b181 + b182 + b183 + b184
       + b185 + b186 =E= 1;

e15..    b187 + b188 + b189 + b190 + b191 + b192 + b193 + b194 + b195 + b196
       + b197 + b198 =E= 1;

e16..    b199 + b200 + b201 + b202 + b203 + b204 + b205 + b206 + b207 + b208
       + b209 + b210 =E= 1;

e17..    b211 + b212 + b213 + b214 + b215 + b216 + b217 + b218 + b219 + b220
       + b221 + b222 =E= 1;

e18..    b223 + b224 + b225 + b226 + b227 + b228 + b229 + b230 + b231 + b232
       + b233 + b234 =E= 1;

e19..    b235 + b236 + b237 + b238 + b239 + b240 + b241 + b242 + b243 + b244
       + b245 + b246 =E= 1;

e20..    b247 + b248 + b249 + b250 + b251 + b252 + b253 + b254 + b255 + b256
       + b257 + b258 =E= 1;

e21..    b259 + b260 + b261 + b262 + b263 + b264 + b265 + b266 + b267 + b268
       + b269 + b270 =E= 1;

e22..    b271 + b272 + b273 + b274 + b275 + b276 + b277 + b278 + b279 + b280
       + b281 + b282 =E= 1;

e23..    b283 + b284 + b285 + b286 + b287 + b288 + b289 + b290 + b291 + b292
       + b293 + b294 =E= 1;

e24..    b295 + b296 + b297 + b298 + b299 + b300 + b301 + b302 + b303 + b304
       + b305 + b306 =E= 1;

e25..    b307 + b308 + b309 + b310 + b311 + b312 + b313 + b314 + b315 + b316
       + b317 + b318 =E= 1;

e26..    b319 + b320 + b321 + b322 + b323 + b324 + b325 + b326 + b327 + b328
       + b329 + b330 =E= 1;

e27..    b331 + b332 + b333 + b334 + b335 + b336 + b337 + b338 + b339 + b340
       + b341 + b342 =E= 1;

e28.. -(b178*x344 + b179*x345 + b180*x346 + b181*x347 + b182*x348 + b183*x349
       + b184*x350 + b185*x351 + b186*x352) + x85 - 1.2*b175 - 1.2*b176
       - 1.2*b177 =E= 0;

e29.. -(b190*x344 + b191*x345 + b192*x346 + b193*x347 + b194*x348 + b195*x349
       + b196*x350 + b197*x351 + b198*x352) + x91 - 1.2*b187 - 1.2*b188
       - 1.2*b189 =E= 0;

e30.. -(b202*x344 + b203*x345 + b204*x346 + b205*x347 + b206*x348 + b207*x349
       + b208*x350 + b209*x351 + b210*x352) + x97 - 1.2*b199 - 1.2*b200
       - 1.2*b201 =E= 0;

e31.. -(b214*x344 + b215*x345 + b216*x346 + b217*x347 + b218*x348 + b219*x349
       + b220*x350 + b221*x351 + b222*x352) + x103 - 1.2*b211 - 1.2*b212
       - 1.2*b213 =E= 0;

e32.. -(b226*x344 + b227*x345 + b228*x346 + b229*x347 + b230*x348 + b231*x349
       + b232*x350 + b233*x351 + b234*x352) + x109 - 1.2*b223 - 1.2*b224
       - 1.2*b225 =E= 0;

e33.. -(b238*x344 + b239*x345 + b240*x346 + b241*x347 + b242*x348 + b243*x349
       + b244*x350 + b245*x351 + b246*x352) + x115 - 1.2*b235 - 1.2*b236
       - 1.2*b237 =E= 0;

e34.. -(b250*x344 + b251*x345 + b252*x346 + b253*x347 + b254*x348 + b255*x349
       + b256*x350 + b257*x351 + b258*x352) + x121 - 1.2*b247 - 1.2*b248
       - 1.2*b249 =E= 0;

e35.. -(b262*x344 + b263*x345 + b264*x346 + b265*x347 + b266*x348 + b267*x349
       + b268*x350 + b269*x351 + b270*x352) + x127 - 1.2*b259 - 1.2*b260
       - 1.2*b261 =E= 0;

e36.. -(b274*x344 + b275*x345 + b276*x346 + b277*x347 + b278*x348 + b279*x349
       + b280*x350 + b281*x351 + b282*x352) + x133 - 1.2*b271 - 1.2*b272
       - 1.2*b273 =E= 0;

e37.. -(b286*x344 + b287*x345 + b288*x346 + b289*x347 + b290*x348 + b291*x349
       + b292*x350 + b293*x351 + b294*x352) + x139 - 1.2*b283 - 1.2*b284
       - 1.2*b285 =E= 0;

e38.. -(b298*x344 + b299*x345 + b300*x346 + b301*x347 + b302*x348 + b303*x349
       + b304*x350 + b305*x351 + b306*x352) + x145 - 1.2*b295 - 1.2*b296
       - 1.2*b297 =E= 0;

e39.. -(b310*x344 + b311*x345 + b312*x346 + b313*x347 + b314*x348 + b315*x349
       + b316*x350 + b317*x351 + b318*x352) + x151 - 1.2*b307 - 1.2*b308
       - 1.2*b309 =E= 0;

e40.. -(b322*x344 + b323*x345 + b324*x346 + b325*x347 + b326*x348 + b327*x349
       + b328*x350 + b329*x351 + b330*x352) + x157 - 1.2*b319 - 1.2*b320
       - 1.2*b321 =E= 0;

e41.. -(b334*x344 + b335*x345 + b336*x346 + b337*x347 + b338*x348 + b339*x349
       + b340*x350 + b341*x351 + b342*x352) + x163 - 1.2*b331 - 1.2*b332
       - 1.2*b333 =E= 0;

e42.. 0.828*x85*x1 + 0.158*x91*x7 + 0.014*x121*x37 - x1*x169 =E= 0;

e43.. 0.828*x86*x2 + 0.158*x92*x8 + 0.014*x122*x38 - x2*x170 =E= 0;

e44.. 0.828*x87*x3 + 0.158*x93*x9 + 0.014*x123*x39 - x3*x171 =E= 0;

e45.. 0.828*x88*x4 + 0.158*x94*x10 + 0.014*x124*x40 - x4*x172 =E= 0;

e46.. 0.828*x89*x5 + 0.158*x95*x11 + 0.014*x125*x41 - x5*x173 =E= 0;

e47.. 0.828*x90*x6 + 0.158*x96*x12 + 0.014*x126*x42 - x6*x174 =E= 0;

e48.. 0.079*x85*x1 + 0.763*x91*x7 + 0.079*x97*x13 + 0.065*x121*x37 + 0.014*x127
      *x43 - x7*x169 =E= 0;

e49.. 0.079*x86*x2 + 0.763*x92*x8 + 0.079*x98*x14 + 0.065*x122*x38 + 0.014*x128
      *x44 - x8*x170 =E= 0;

e50.. 0.079*x87*x3 + 0.763*x93*x9 + 0.079*x99*x15 + 0.065*x123*x39 + 0.014*x129
      *x45 - x9*x171 =E= 0;

e51.. 0.079*x88*x4 + 0.763*x94*x10 + 0.079*x100*x16 + 0.065*x124*x40 + 0.014*
      x130*x46 - x10*x172 =E= 0;

e52.. 0.079*x89*x5 + 0.763*x95*x11 + 0.079*x101*x17 + 0.065*x125*x41 + 0.014*
      x131*x47 - x11*x173 =E= 0;

e53.. 0.079*x90*x6 + 0.763*x96*x12 + 0.079*x102*x18 + 0.065*x126*x42 + 0.014*
      x132*x48 - x12*x174 =E= 0;

e54.. 0.079*x91*x7 + 0.749*x97*x13 + 0.079*x103*x19 + 0.0241*x121*x37 + 0.065*
      x127*x43 + 0.014*x133*x49 - x13*x169 =E= 0;

e55.. 0.079*x92*x8 + 0.749*x98*x14 + 0.079*x104*x20 + 0.0241*x122*x38 + 0.065*
      x128*x44 + 0.014*x134*x50 - x14*x170 =E= 0;

e56.. 0.079*x93*x9 + 0.749*x99*x15 + 0.079*x105*x21 + 0.0241*x123*x39 + 0.065*
      x129*x45 + 0.014*x135*x51 - x15*x171 =E= 0;

e57.. 0.079*x94*x10 + 0.749*x100*x16 + 0.079*x106*x22 + 0.0241*x124*x40 + 0.065
      *x130*x46 + 0.014*x136*x52 - x16*x172 =E= 0;

e58.. 0.079*x95*x11 + 0.749*x101*x17 + 0.079*x107*x23 + 0.0241*x125*x41 + 0.065
      *x131*x47 + 0.014*x137*x53 - x17*x173 =E= 0;

e59.. 0.079*x96*x12 + 0.749*x102*x18 + 0.079*x108*x24 + 0.0241*x126*x42 + 0.065
      *x132*x48 + 0.014*x138*x54 - x18*x174 =E= 0;

e60.. 0.079*x97*x13 + 0.749*x103*x19 + 0.079*x109*x25 + 0.014*x127*x43 + 0.065*
      x133*x49 + 0.014*x139*x55 - x19*x169 =E= 0;

e61.. 0.079*x98*x14 + 0.749*x104*x20 + 0.079*x110*x26 + 0.014*x128*x44 + 0.065*
      x134*x50 + 0.014*x140*x56 - x20*x170 =E= 0;

e62.. 0.079*x99*x15 + 0.749*x105*x21 + 0.079*x111*x27 + 0.014*x129*x45 + 0.065*
      x135*x51 + 0.014*x141*x57 - x21*x171 =E= 0;

e63.. 0.079*x100*x16 + 0.749*x106*x22 + 0.079*x112*x28 + 0.014*x130*x46 + 0.065
      *x136*x52 + 0.014*x142*x58 - x22*x172 =E= 0;

e64.. 0.079*x101*x17 + 0.749*x107*x23 + 0.079*x113*x29 + 0.014*x131*x47 + 0.065
      *x137*x53 + 0.014*x143*x59 - x23*x173 =E= 0;

e65.. 0.079*x102*x18 + 0.749*x108*x24 + 0.079*x114*x30 + 0.014*x132*x48 + 0.065
      *x138*x54 + 0.014*x144*x60 - x24*x174 =E= 0;

e66.. 0.079*x103*x19 + 0.749*x109*x25 + 0.148*x115*x31 + 0.014*x133*x49 + 0.065
      *x139*x55 - x25*x169 =E= 0;

e67.. 0.079*x104*x20 + 0.749*x110*x26 + 0.148*x116*x32 + 0.014*x134*x50 + 0.065
      *x140*x56 - x26*x170 =E= 0;

e68.. 0.079*x105*x21 + 0.749*x111*x27 + 0.148*x117*x33 + 0.014*x135*x51 + 0.065
      *x141*x57 - x27*x171 =E= 0;

e69.. 0.079*x106*x22 + 0.749*x112*x28 + 0.148*x118*x34 + 0.014*x136*x52 + 0.065
      *x142*x58 - x28*x172 =E= 0;

e70.. 0.079*x107*x23 + 0.749*x113*x29 + 0.148*x119*x35 + 0.014*x137*x53 + 0.065
      *x143*x59 - x29*x173 =E= 0;

e71.. 0.079*x108*x24 + 0.749*x114*x30 + 0.148*x120*x36 + 0.014*x138*x54 + 0.065
      *x144*x60 - x30*x174 =E= 0;

e72.. 0.079*x109*x25 + 0.749*x115*x31 + 0.014*x139*x55 - x31*x169 =E= 0;

e73.. 0.079*x110*x26 + 0.749*x116*x32 + 0.014*x140*x56 - x32*x170 =E= 0;

e74.. 0.079*x111*x27 + 0.749*x117*x33 + 0.014*x141*x57 - x33*x171 =E= 0;

e75.. 0.079*x112*x28 + 0.749*x118*x34 + 0.014*x142*x58 - x34*x172 =E= 0;

e76.. 0.079*x113*x29 + 0.749*x119*x35 + 0.014*x143*x59 - x35*x173 =E= 0;

e77.. 0.079*x114*x30 + 0.749*x120*x36 + 0.014*x144*x60 - x36*x174 =E= 0;

e78.. 0.014*x85*x1 + 0.13*x91*x7 + 0.028*x97*x13 + 0.684*x121*x37 + 0.13*x127*
      x43 + 0.014*x145*x61 - x37*x169 =E= 0;

e79.. 0.014*x86*x2 + 0.13*x92*x8 + 0.028*x98*x14 + 0.684*x122*x38 + 0.13*x128*
      x44 + 0.014*x146*x62 - x38*x170 =E= 0;

e80.. 0.014*x87*x3 + 0.13*x93*x9 + 0.028*x99*x15 + 0.684*x123*x39 + 0.13*x129*
      x45 + 0.014*x147*x63 - x39*x171 =E= 0;

e81.. 0.014*x88*x4 + 0.13*x94*x10 + 0.028*x100*x16 + 0.684*x124*x40 + 0.13*x130
      *x46 + 0.014*x148*x64 - x40*x172 =E= 0;

e82.. 0.014*x89*x5 + 0.13*x95*x11 + 0.028*x101*x17 + 0.684*x125*x41 + 0.13*x131
      *x47 + 0.014*x149*x65 - x41*x173 =E= 0;

e83.. 0.014*x90*x6 + 0.13*x96*x12 + 0.028*x102*x18 + 0.684*x126*x42 + 0.13*x132
      *x48 + 0.014*x150*x66 - x42*x174 =E= 0;

e84.. 0.014*x91*x7 + 0.065*x97*x13 + 0.014*x103*x19 + 0.065*x121*x37 + 0.698*
      x127*x43 + 0.065*x133*x49 + 0.065*x145*x61 + 0.014*x151*x67 - x43*x169
       =E= 0;

e85.. 0.014*x92*x8 + 0.065*x98*x14 + 0.014*x104*x20 + 0.065*x122*x38 + 0.698*
      x128*x44 + 0.065*x134*x50 + 0.065*x146*x62 + 0.014*x152*x68 - x44*x170
       =E= 0;

e86.. 0.014*x93*x9 + 0.065*x99*x15 + 0.014*x105*x21 + 0.065*x123*x39 + 0.698*
      x129*x45 + 0.065*x135*x51 + 0.065*x147*x63 + 0.014*x153*x69 - x45*x171
       =E= 0;

e87.. 0.014*x94*x10 + 0.065*x100*x16 + 0.014*x106*x22 + 0.065*x124*x40 + 0.698*
      x130*x46 + 0.065*x136*x52 + 0.065*x148*x64 + 0.014*x154*x70 - x46*x172
       =E= 0;

e88.. 0.014*x95*x11 + 0.065*x101*x17 + 0.014*x107*x23 + 0.065*x125*x41 + 0.698*
      x131*x47 + 0.065*x137*x53 + 0.065*x149*x65 + 0.014*x155*x71 - x47*x173
       =E= 0;

e89.. 0.014*x96*x12 + 0.065*x102*x18 + 0.014*x108*x24 + 0.065*x126*x42 + 0.698*
      x132*x48 + 0.065*x138*x54 + 0.065*x150*x66 + 0.014*x156*x72 - x48*x174
       =E= 0;

e90.. 0.014*x97*x13 + 0.065*x103*x19 + 0.014*x109*x25 + 0.065*x127*x43 + 0.684*
      x133*x49 + 0.065*x139*x55 + 0.014*x145*x61 + 0.065*x151*x67 + 0.014*x157*
      x73 - x49*x169 =E= 0;

e91.. 0.014*x98*x14 + 0.065*x104*x20 + 0.014*x110*x26 + 0.065*x128*x44 + 0.684*
      x134*x50 + 0.065*x140*x56 + 0.014*x146*x62 + 0.065*x152*x68 + 0.014*x158*
      x74 - x50*x170 =E= 0;

e92.. 0.014*x99*x15 + 0.065*x105*x21 + 0.014*x111*x27 + 0.065*x129*x45 + 0.684*
      x135*x51 + 0.065*x141*x57 + 0.014*x147*x63 + 0.065*x153*x69 + 0.014*x159*
      x75 - x51*x171 =E= 0;

e93.. 0.014*x100*x16 + 0.065*x106*x22 + 0.014*x112*x28 + 0.065*x130*x46 + 0.684
      *x136*x52 + 0.065*x142*x58 + 0.014*x148*x64 + 0.065*x154*x70 + 0.014*x160
      *x76 - x52*x172 =E= 0;

e94.. 0.014*x101*x17 + 0.065*x107*x23 + 0.014*x113*x29 + 0.065*x131*x47 + 0.684
      *x137*x53 + 0.065*x143*x59 + 0.014*x149*x65 + 0.065*x155*x71 + 0.014*x161
      *x77 - x53*x173 =E= 0;

e95.. 0.014*x102*x18 + 0.065*x108*x24 + 0.014*x114*x30 + 0.065*x132*x48 + 0.684
      *x138*x54 + 0.065*x144*x60 + 0.014*x150*x66 + 0.065*x156*x72 + 0.014*x162
      *x78 - x54*x174 =E= 0;

e96.. 0.014*x103*x19 + 0.065*x109*x25 + 0.014*x115*x31 + 0.065*x133*x49 + 0.684
      *x139*x55 + 0.014*x151*x67 + 0.065*x157*x73 - x55*x169 =E= 0;

e97.. 0.014*x104*x20 + 0.065*x110*x26 + 0.014*x116*x32 + 0.065*x134*x50 + 0.684
      *x140*x56 + 0.014*x152*x68 + 0.065*x158*x74 - x56*x170 =E= 0;

e98.. 0.014*x105*x21 + 0.065*x111*x27 + 0.014*x117*x33 + 0.065*x135*x51 + 0.684
      *x141*x57 + 0.014*x153*x69 + 0.065*x159*x75 - x57*x171 =E= 0;

e99.. 0.014*x106*x22 + 0.065*x112*x28 + 0.014*x118*x34 + 0.065*x136*x52 + 0.684
      *x142*x58 + 0.014*x154*x70 + 0.065*x160*x76 - x58*x172 =E= 0;

e100.. 0.014*x107*x23 + 0.065*x113*x29 + 0.014*x119*x35 + 0.065*x137*x53 + 
       0.684*x143*x59 + 0.014*x155*x71 + 0.065*x161*x77 - x59*x173 =E= 0;

e101.. 0.014*x108*x24 + 0.065*x114*x30 + 0.014*x120*x36 + 0.065*x138*x54 + 
       0.684*x144*x60 + 0.014*x156*x72 + 0.065*x162*x78 - x60*x174 =E= 0;

e102.. 0.014*x121*x37 + 0.13*x127*x43 + 0.028*x133*x49 + 0.684*x145*x61 + 0.13*
       x151*x67 + 0.014*x163*x79 - x61*x169 =E= 0;

e103.. 0.014*x122*x38 + 0.13*x128*x44 + 0.028*x134*x50 + 0.684*x146*x62 + 0.13*
       x152*x68 + 0.014*x164*x80 - x62*x170 =E= 0;

e104.. 0.014*x123*x39 + 0.13*x129*x45 + 0.028*x135*x51 + 0.684*x147*x63 + 0.13*
       x153*x69 + 0.014*x165*x81 - x63*x171 =E= 0;

e105.. 0.014*x124*x40 + 0.13*x130*x46 + 0.028*x136*x52 + 0.684*x148*x64 + 0.13*
       x154*x70 + 0.014*x166*x82 - x64*x172 =E= 0;

e106.. 0.014*x125*x41 + 0.13*x131*x47 + 0.028*x137*x53 + 0.684*x149*x65 + 0.13*
       x155*x71 + 0.014*x167*x83 - x65*x173 =E= 0;

e107.. 0.014*x126*x42 + 0.13*x132*x48 + 0.028*x138*x54 + 0.684*x150*x66 + 0.13*
       x156*x72 + 0.014*x168*x84 - x66*x174 =E= 0;

e108.. 0.014*x127*x43 + 0.065*x133*x49 + 0.014*x139*x55 + 0.065*x145*x61 + 
       0.698*x151*x67 + 0.065*x157*x73 + 0.065*x163*x79 - x67*x169 =E= 0;

e109.. 0.014*x128*x44 + 0.065*x134*x50 + 0.014*x140*x56 + 0.065*x146*x62 + 
       0.698*x152*x68 + 0.065*x158*x74 + 0.065*x164*x80 - x68*x170 =E= 0;

e110.. 0.014*x129*x45 + 0.065*x135*x51 + 0.014*x141*x57 + 0.065*x147*x63 + 
       0.698*x153*x69 + 0.065*x159*x75 + 0.065*x165*x81 - x69*x171 =E= 0;

e111.. 0.014*x130*x46 + 0.065*x136*x52 + 0.014*x142*x58 + 0.065*x148*x64 + 
       0.698*x154*x70 + 0.065*x160*x76 + 0.065*x166*x82 - x70*x172 =E= 0;

e112.. 0.014*x131*x47 + 0.065*x137*x53 + 0.014*x143*x59 + 0.065*x149*x65 + 
       0.698*x155*x71 + 0.065*x161*x77 + 0.065*x167*x83 - x71*x173 =E= 0;

e113.. 0.014*x132*x48 + 0.065*x138*x54 + 0.014*x144*x60 + 0.065*x150*x66 + 
       0.698*x156*x72 + 0.065*x162*x78 + 0.065*x168*x84 - x72*x174 =E= 0;

e114.. 0.014*x133*x49 + 0.065*x139*x55 + 0.065*x151*x67 + 0.684*x157*x73 + 
       0.014*x163*x79 - x73*x169 =E= 0;

e115.. 0.014*x134*x50 + 0.065*x140*x56 + 0.065*x152*x68 + 0.684*x158*x74 + 
       0.014*x164*x80 - x74*x170 =E= 0;

e116.. 0.014*x135*x51 + 0.065*x141*x57 + 0.065*x153*x69 + 0.684*x159*x75 + 
       0.014*x165*x81 - x75*x171 =E= 0;

e117.. 0.014*x136*x52 + 0.065*x142*x58 + 0.065*x154*x70 + 0.684*x160*x76 + 
       0.014*x166*x82 - x76*x172 =E= 0;

e118.. 0.014*x137*x53 + 0.065*x143*x59 + 0.065*x155*x71 + 0.684*x161*x77 + 
       0.014*x167*x83 - x77*x173 =E= 0;

e119.. 0.014*x138*x54 + 0.065*x144*x60 + 0.065*x156*x72 + 0.684*x162*x78 + 
       0.014*x168*x84 - x78*x174 =E= 0;

e120.. 0.014*x145*x61 + 0.13*x151*x67 + 0.028*x157*x73 + 0.684*x163*x79 - x79*
       x169 =E= 0;

e121.. 0.014*x146*x62 + 0.13*x152*x68 + 0.028*x158*x74 + 0.684*x164*x80 - x80*
       x170 =E= 0;

e122.. 0.014*x147*x63 + 0.13*x153*x69 + 0.028*x159*x75 + 0.684*x165*x81 - x81*
       x171 =E= 0;

e123.. 0.014*x148*x64 + 0.13*x154*x70 + 0.028*x160*x76 + 0.684*x166*x82 - x82*
       x172 =E= 0;

e124.. 0.014*x149*x65 + 0.13*x155*x71 + 0.028*x161*x77 + 0.684*x167*x83 - x83*
       x173 =E= 0;

e125.. 0.014*x150*x66 + 0.13*x156*x72 + 0.028*x162*x78 + 0.684*x168*x84 - x84*
       x174 =E= 0;

e126.. -(x85 - 0.15288*x85*x1) + x86 =E= 0;

e127.. -(x86 - 0.15288*x86*x2) + x87 =E= 0;

e128.. -(x87 - 0.15288*x87*x3) + x88 =E= 0;

e129.. -(x88 - 0.15288*x88*x4) + x89 =E= 0;

e130.. -(x89 - 0.15288*x89*x5) + x90 =E= 0;

e131.. -(x91 - 0.15288*x91*x7) + x92 =E= 0;

e132.. -(x92 - 0.15288*x92*x8) + x93 =E= 0;

e133.. -(x93 - 0.15288*x93*x9) + x94 =E= 0;

e134.. -(x94 - 0.15288*x94*x10) + x95 =E= 0;

e135.. -(x95 - 0.15288*x95*x11) + x96 =E= 0;

e136.. -(x97 - 0.15288*x97*x13) + x98 =E= 0;

e137.. -(x98 - 0.15288*x98*x14) + x99 =E= 0;

e138.. -(x99 - 0.15288*x99*x15) + x100 =E= 0;

e139.. -(x100 - 0.15288*x100*x16) + x101 =E= 0;

e140.. -(x101 - 0.15288*x101*x17) + x102 =E= 0;

e141.. -(x103 - 0.15288*x103*x19) + x104 =E= 0;

e142.. -(x104 - 0.15288*x104*x20) + x105 =E= 0;

e143.. -(x105 - 0.15288*x105*x21) + x106 =E= 0;

e144.. -(x106 - 0.15288*x106*x22) + x107 =E= 0;

e145.. -(x107 - 0.15288*x107*x23) + x108 =E= 0;

e146.. -(x109 - 0.15288*x109*x25) + x110 =E= 0;

e147.. -(x110 - 0.15288*x110*x26) + x111 =E= 0;

e148.. -(x111 - 0.15288*x111*x27) + x112 =E= 0;

e149.. -(x112 - 0.15288*x112*x28) + x113 =E= 0;

e150.. -(x113 - 0.15288*x113*x29) + x114 =E= 0;

e151.. -(x115 - 0.15288*x115*x31) + x116 =E= 0;

e152.. -(x116 - 0.15288*x116*x32) + x117 =E= 0;

e153.. -(x117 - 0.15288*x117*x33) + x118 =E= 0;

e154.. -(x118 - 0.15288*x118*x34) + x119 =E= 0;

e155.. -(x119 - 0.15288*x119*x35) + x120 =E= 0;

e156.. -(x121 - 0.15288*x121*x37) + x122 =E= 0;

e157.. -(x122 - 0.15288*x122*x38) + x123 =E= 0;

e158.. -(x123 - 0.15288*x123*x39) + x124 =E= 0;

e159.. -(x124 - 0.15288*x124*x40) + x125 =E= 0;

e160.. -(x125 - 0.15288*x125*x41) + x126 =E= 0;

e161.. -(x127 - 0.15288*x127*x43) + x128 =E= 0;

e162.. -(x128 - 0.15288*x128*x44) + x129 =E= 0;

e163.. -(x129 - 0.15288*x129*x45) + x130 =E= 0;

e164.. -(x130 - 0.15288*x130*x46) + x131 =E= 0;

e165.. -(x131 - 0.15288*x131*x47) + x132 =E= 0;

e166.. -(x133 - 0.15288*x133*x49) + x134 =E= 0;

e167.. -(x134 - 0.15288*x134*x50) + x135 =E= 0;

e168.. -(x135 - 0.15288*x135*x51) + x136 =E= 0;

e169.. -(x136 - 0.15288*x136*x52) + x137 =E= 0;

e170.. -(x137 - 0.15288*x137*x53) + x138 =E= 0;

e171.. -(x139 - 0.15288*x139*x55) + x140 =E= 0;

e172.. -(x140 - 0.15288*x140*x56) + x141 =E= 0;

e173.. -(x141 - 0.15288*x141*x57) + x142 =E= 0;

e174.. -(x142 - 0.15288*x142*x58) + x143 =E= 0;

e175.. -(x143 - 0.15288*x143*x59) + x144 =E= 0;

e176.. -(x145 - 0.15288*x145*x61) + x146 =E= 0;

e177.. -(x146 - 0.15288*x146*x62) + x147 =E= 0;

e178.. -(x147 - 0.15288*x147*x63) + x148 =E= 0;

e179.. -(x148 - 0.15288*x148*x64) + x149 =E= 0;

e180.. -(x149 - 0.15288*x149*x65) + x150 =E= 0;

e181.. -(x151 - 0.15288*x151*x67) + x152 =E= 0;

e182.. -(x152 - 0.15288*x152*x68) + x153 =E= 0;

e183.. -(x153 - 0.15288*x153*x69) + x154 =E= 0;

e184.. -(x154 - 0.15288*x154*x70) + x155 =E= 0;

e185.. -(x155 - 0.15288*x155*x71) + x156 =E= 0;

e186.. -(x157 - 0.15288*x157*x73) + x158 =E= 0;

e187.. -(x158 - 0.15288*x158*x74) + x159 =E= 0;

e188.. -(x159 - 0.15288*x159*x75) + x160 =E= 0;

e189.. -(x160 - 0.15288*x160*x76) + x161 =E= 0;

e190.. -(x161 - 0.15288*x161*x77) + x162 =E= 0;

e191.. -(x163 - 0.15288*x163*x79) + x164 =E= 0;

e192.. -(x164 - 0.15288*x164*x80) + x165 =E= 0;

e193.. -(x165 - 0.15288*x165*x81) + x166 =E= 0;

e194.. -(x166 - 0.15288*x166*x82) + x167 =E= 0;

e195.. -(x167 - 0.15288*x167*x83) + x168 =E= 0;

e196.. 0.5*x85*x1 + x91*x7 + x97*x13 + x103*x19 + x109*x25 + x115*x31 + 0.5*
       x121*x37 + x127*x43 + x133*x49 + x139*x55 + 0.5*x145*x61 + x151*x67 + 
       x157*x73 + 0.5*x163*x79 =E= 1;

e197.. 0.5*x86*x2 + x92*x8 + x98*x14 + x104*x20 + x110*x26 + x116*x32 + 0.5*
       x122*x38 + x128*x44 + x134*x50 + x140*x56 + 0.5*x146*x62 + x152*x68 + 
       x158*x74 + 0.5*x164*x80 =E= 1;

e198.. 0.5*x87*x3 + x93*x9 + x99*x15 + x105*x21 + x111*x27 + x117*x33 + 0.5*
       x123*x39 + x129*x45 + x135*x51 + x141*x57 + 0.5*x147*x63 + x153*x69 + 
       x159*x75 + 0.5*x165*x81 =E= 1;

e199.. 0.5*x88*x4 + x94*x10 + x100*x16 + x106*x22 + x112*x28 + x118*x34 + 0.5*
       x124*x40 + x130*x46 + x136*x52 + x142*x58 + 0.5*x148*x64 + x154*x70 + 
       x160*x76 + 0.5*x166*x82 =E= 1;

e200.. 0.5*x89*x5 + x95*x11 + x101*x17 + x107*x23 + x113*x29 + x119*x35 + 0.5*
       x125*x41 + x131*x47 + x137*x53 + x143*x59 + 0.5*x149*x65 + x155*x71 + 
       x161*x77 + 0.5*x167*x83 =E= 1;

e201.. 0.5*x90*x6 + x96*x12 + x102*x18 + x108*x24 + x114*x30 + x120*x36 + 0.5*
       x126*x42 + x132*x48 + x138*x54 + x144*x60 + 0.5*x150*x66 + x156*x72 + 
       x162*x78 + 0.5*x168*x84 =E= 1;

e202.. x85*x1 =L= 0.166666666666667;

e203.. x86*x2 =L= 0.166666666666667;

e204.. x87*x3 =L= 0.166666666666667;

e205.. x88*x4 =L= 0.166666666666667;

e206.. x89*x5 =L= 0.166666666666667;

e207.. x90*x6 =L= 0.166666666666667;

e208.. x91*x7 =L= 0.166666666666667;

e209.. x92*x8 =L= 0.166666666666667;

e210.. x93*x9 =L= 0.166666666666667;

e211.. x94*x10 =L= 0.166666666666667;

e212.. x95*x11 =L= 0.166666666666667;

e213.. x96*x12 =L= 0.166666666666667;

e214.. x97*x13 =L= 0.166666666666667;

e215.. x98*x14 =L= 0.166666666666667;

e216.. x99*x15 =L= 0.166666666666667;

e217.. x100*x16 =L= 0.166666666666667;

e218.. x101*x17 =L= 0.166666666666667;

e219.. x102*x18 =L= 0.166666666666667;

e220.. x103*x19 =L= 0.166666666666667;

e221.. x104*x20 =L= 0.166666666666667;

e222.. x105*x21 =L= 0.166666666666667;

e223.. x106*x22 =L= 0.166666666666667;

e224.. x107*x23 =L= 0.166666666666667;

e225.. x108*x24 =L= 0.166666666666667;

e226.. x109*x25 =L= 0.166666666666667;

e227.. x110*x26 =L= 0.166666666666667;

e228.. x111*x27 =L= 0.166666666666667;

e229.. x112*x28 =L= 0.166666666666667;

e230.. x113*x29 =L= 0.166666666666667;

e231.. x114*x30 =L= 0.166666666666667;

e232.. x115*x31 =L= 0.166666666666667;

e233.. x116*x32 =L= 0.166666666666667;

e234.. x117*x33 =L= 0.166666666666667;

e235.. x118*x34 =L= 0.166666666666667;

e236.. x119*x35 =L= 0.166666666666667;

e237.. x120*x36 =L= 0.166666666666667;

e238.. x121*x37 =L= 0.166666666666667;

e239.. x122*x38 =L= 0.166666666666667;

e240.. x123*x39 =L= 0.166666666666667;

e241.. x124*x40 =L= 0.166666666666667;

e242.. x125*x41 =L= 0.166666666666667;

e243.. x126*x42 =L= 0.166666666666667;

e244.. x127*x43 =L= 0.166666666666667;

e245.. x128*x44 =L= 0.166666666666667;

e246.. x129*x45 =L= 0.166666666666667;

e247.. x130*x46 =L= 0.166666666666667;

e248.. x131*x47 =L= 0.166666666666667;

e249.. x132*x48 =L= 0.166666666666667;

e250.. x133*x49 =L= 0.166666666666667;

e251.. x134*x50 =L= 0.166666666666667;

e252.. x135*x51 =L= 0.166666666666667;

e253.. x136*x52 =L= 0.166666666666667;

e254.. x137*x53 =L= 0.166666666666667;

e255.. x138*x54 =L= 0.166666666666667;

e256.. x139*x55 =L= 0.166666666666667;

e257.. x140*x56 =L= 0.166666666666667;

e258.. x141*x57 =L= 0.166666666666667;

e259.. x142*x58 =L= 0.166666666666667;

e260.. x143*x59 =L= 0.166666666666667;

e261.. x144*x60 =L= 0.166666666666667;

e262.. x145*x61 =L= 0.166666666666667;

e263.. x146*x62 =L= 0.166666666666667;

e264.. x147*x63 =L= 0.166666666666667;

e265.. x148*x64 =L= 0.166666666666667;

e266.. x149*x65 =L= 0.166666666666667;

e267.. x150*x66 =L= 0.166666666666667;

e268.. x151*x67 =L= 0.166666666666667;

e269.. x152*x68 =L= 0.166666666666667;

e270.. x153*x69 =L= 0.166666666666667;

e271.. x154*x70 =L= 0.166666666666667;

e272.. x155*x71 =L= 0.166666666666667;

e273.. x156*x72 =L= 0.166666666666667;

e274.. x157*x73 =L= 0.166666666666667;

e275.. x158*x74 =L= 0.166666666666667;

e276.. x159*x75 =L= 0.166666666666667;

e277.. x160*x76 =L= 0.166666666666667;

e278.. x161*x77 =L= 0.166666666666667;

e279.. x162*x78 =L= 0.166666666666667;

e280.. x163*x79 =L= 0.166666666666667;

e281.. x164*x80 =L= 0.166666666666667;

e282.. x165*x81 =L= 0.166666666666667;

e283.. x166*x82 =L= 0.166666666666667;

e284.. x167*x83 =L= 0.166666666666667;

e285.. x168*x84 =L= 0.166666666666667;

e286.. -(0.5*b175*x90 + b187*x96 + b199*x102 + b211*x108 + b223*x114 + b235*
       x120 + 0.5*b247*x126 + b259*x132 + b271*x138 + b283*x144 + 0.5*b295*x150
        + b307*x156 + b319*x162 + 0.5*b331*x168) + x344 =E= 0;

e287.. -(0.5*b176*x90 + b188*x96 + b200*x102 + b212*x108 + b224*x114 + b236*
       x120 + 0.5*b248*x126 + b260*x132 + b272*x138 + b284*x144 + 0.5*b296*x150
        + b308*x156 + b320*x162 + 0.5*b332*x168) + x345 =E= 0;

e288.. -(0.5*b177*x90 + b189*x96 + b201*x102 + b213*x108 + b225*x114 + b237*
       x120 + 0.5*b249*x126 + b261*x132 + b273*x138 + b285*x144 + 0.5*b297*x150
        + b309*x156 + b321*x162 + 0.5*b333*x168) + x346 =E= 0;

e289.. -(0.5*b178*x90 + b190*x96 + b202*x102 + b214*x108 + b226*x114 + b238*
       x120 + 0.5*b250*x126 + b262*x132 + b274*x138 + b286*x144 + 0.5*b298*x150
        + b310*x156 + b322*x162 + 0.5*b334*x168) + x347 =E= 0;

e290.. -(0.5*b179*x90 + b191*x96 + b203*x102 + b215*x108 + b227*x114 + b239*
       x120 + 0.5*b251*x126 + b263*x132 + b275*x138 + b287*x144 + 0.5*b299*x150
        + b311*x156 + b323*x162 + 0.5*b335*x168) + x348 =E= 0;

e291.. -(0.5*b180*x90 + b192*x96 + b204*x102 + b216*x108 + b228*x114 + b240*
       x120 + 0.5*b252*x126 + b264*x132 + b276*x138 + b288*x144 + 0.5*b300*x150
        + b312*x156 + b324*x162 + 0.5*b336*x168) + x349 =E= 0;

e292.. -(0.5*b181*x90 + b193*x96 + b205*x102 + b217*x108 + b229*x114 + b241*
       x120 + 0.5*b253*x126 + b265*x132 + b277*x138 + b289*x144 + 0.5*b301*x150
        + b313*x156 + b325*x162 + 0.5*b337*x168) + x350 =E= 0;

e293.. -(0.5*b182*x90 + b194*x96 + b206*x102 + b218*x108 + b230*x114 + b242*
       x120 + 0.5*b254*x126 + b266*x132 + b278*x138 + b290*x144 + 0.5*b302*x150
        + b314*x156 + b326*x162 + 0.5*b338*x168) + x351 =E= 0;

e294.. -(0.5*b183*x90 + b195*x96 + b207*x102 + b219*x108 + b231*x114 + b243*
       x120 + 0.5*b255*x126 + b267*x132 + b279*x138 + b291*x144 + 0.5*b303*x150
        + b315*x156 + b327*x162 + 0.5*b339*x168) + x352 =E= 0;

e295..    b175 - b247 =E= 0;

e296..    b176 - b248 =E= 0;

e297..    b177 - b249 =E= 0;

e298..    b178 - b250 =E= 0;

e299..    b179 - b251 =E= 0;

e300..    b180 - b252 =E= 0;

e301..    b181 - b253 =E= 0;

e302..    b182 - b254 =E= 0;

e303..    b183 - b255 =E= 0;

e304..    b184 - b256 =E= 0;

e305..    b185 - b257 =E= 0;

e306..    b186 - b258 =E= 0;

e307..    b295 - b331 =E= 0;

e308..    b296 - b332 =E= 0;

e309..    b297 - b333 =E= 0;

e310..    b298 - b334 =E= 0;

e311..    b299 - b335 =E= 0;

e312..    b300 - b336 =E= 0;

e313..    b301 - b337 =E= 0;

e314..    b302 - b338 =E= 0;

e315..    b303 - b339 =E= 0;

e316..    b304 - b340 =E= 0;

e317..    b305 - b341 =E= 0;

e318..    b306 - b342 =E= 0;

* set non-default levels
x1.l = 0.0857142857142857;
x2.l = 0.0857142857142857;
x3.l = 0.0857142857142857;
x4.l = 0.0857142857142857;
x5.l = 0.0857142857142857;
x6.l = 0.0857142857142857;
x7.l = 0.0857142857142857;
x8.l = 0.0857142857142857;
x9.l = 0.0857142857142857;
x10.l = 0.0857142857142857;
x11.l = 0.0857142857142857;
x12.l = 0.0857142857142857;
x13.l = 0.0857142857142857;
x14.l = 0.0857142857142857;
x15.l = 0.0857142857142857;
x16.l = 0.0857142857142857;
x17.l = 0.0857142857142857;
x18.l = 0.0857142857142857;
x19.l = 0.0857142857142857;
x20.l = 0.0857142857142857;
x21.l = 0.0857142857142857;
x22.l = 0.0857142857142857;
x23.l = 0.0857142857142857;
x24.l = 0.0857142857142857;
x25.l = 0.0857142857142857;
x26.l = 0.0857142857142857;
x27.l = 0.0857142857142857;
x28.l = 0.0857142857142857;
x29.l = 0.0857142857142857;
x30.l = 0.0857142857142857;
x31.l = 0.0857142857142857;
x32.l = 0.0857142857142857;
x33.l = 0.0857142857142857;
x34.l = 0.0857142857142857;
x35.l = 0.0857142857142857;
x36.l = 0.0857142857142857;
x37.l = 0.0857142857142857;
x38.l = 0.0857142857142857;
x39.l = 0.0857142857142857;
x40.l = 0.0857142857142857;
x41.l = 0.0857142857142857;
x42.l = 0.0857142857142857;
x43.l = 0.0857142857142857;
x44.l = 0.0857142857142857;
x45.l = 0.0857142857142857;
x46.l = 0.0857142857142857;
x47.l = 0.0857142857142857;
x48.l = 0.0857142857142857;
x49.l = 0.0857142857142857;
x50.l = 0.0857142857142857;
x51.l = 0.0857142857142857;
x52.l = 0.0857142857142857;
x53.l = 0.0857142857142857;
x54.l = 0.0857142857142857;
x55.l = 0.0857142857142857;
x56.l = 0.0857142857142857;
x57.l = 0.0857142857142857;
x58.l = 0.0857142857142857;
x59.l = 0.0857142857142857;
x60.l = 0.0857142857142857;
x61.l = 0.0857142857142857;
x62.l = 0.0857142857142857;
x63.l = 0.0857142857142857;
x64.l = 0.0857142857142857;
x65.l = 0.0857142857142857;
x66.l = 0.0857142857142857;
x67.l = 0.0857142857142857;
x68.l = 0.0857142857142857;
x69.l = 0.0857142857142857;
x70.l = 0.0857142857142857;
x71.l = 0.0857142857142857;
x72.l = 0.0857142857142857;
x73.l = 0.0857142857142857;
x74.l = 0.0857142857142857;
x75.l = 0.0857142857142857;
x76.l = 0.0857142857142857;
x77.l = 0.0857142857142857;
x78.l = 0.0857142857142857;
x79.l = 0.0857142857142857;
x80.l = 0.0857142857142857;
x81.l = 0.0857142857142857;
x82.l = 0.0857142857142857;
x83.l = 0.0857142857142857;
x84.l = 0.0857142857142857;
x85.l = 1.2;
x86.l = 1.2;
x87.l = 1.2;
x88.l = 1.2;
x89.l = 1.2;
x90.l = 1.2;
x91.l = 1.2;
x92.l = 1.2;
x93.l = 1.2;
x94.l = 1.2;
x95.l = 1.2;
x96.l = 1.2;
x97.l = 1.2;
x98.l = 1.2;
x99.l = 1.2;
x100.l = 1.2;
x101.l = 1.2;
x102.l = 1.2;
x103.l = 1.2;
x104.l = 1.2;
x105.l = 1.2;
x106.l = 1.2;
x107.l = 1.2;
x108.l = 1.2;
x109.l = 1.2;
x110.l = 1.2;
x111.l = 1.2;
x112.l = 1.2;
x113.l = 1.2;
x114.l = 1.2;
x115.l = 1.2;
x116.l = 1.2;
x117.l = 1.2;
x118.l = 1.2;
x119.l = 1.2;
x120.l = 1.2;
x121.l = 1.2;
x122.l = 1.2;
x123.l = 1.2;
x124.l = 1.2;
x125.l = 1.2;
x126.l = 1.2;
x127.l = 1.2;
x128.l = 1.2;
x129.l = 1.2;
x130.l = 1.2;
x131.l = 1.2;
x132.l = 1.2;
x133.l = 1.2;
x134.l = 1.2;
x135.l = 1.2;
x136.l = 1.2;
x137.l = 1.2;
x138.l = 1.2;
x139.l = 1.2;
x140.l = 1.2;
x141.l = 1.2;
x142.l = 1.2;
x143.l = 1.2;
x144.l = 1.2;
x145.l = 1.2;
x146.l = 1.2;
x147.l = 1.2;
x148.l = 1.2;
x149.l = 1.2;
x150.l = 1.2;
x151.l = 1.2;
x152.l = 1.2;
x153.l = 1.2;
x154.l = 1.2;
x155.l = 1.2;
x156.l = 1.2;
x157.l = 1.2;
x158.l = 1.2;
x159.l = 1.2;
x160.l = 1.2;
x161.l = 1.2;
x162.l = 1.2;
x163.l = 1.2;
x164.l = 1.2;
x165.l = 1.2;
x166.l = 1.2;
x167.l = 1.2;
x168.l = 1.2;
x169.l = 0.956145;
x170.l = 0.956145;
x171.l = 0.956145;
x172.l = 0.956145;
x173.l = 0.956145;
x174.l = 0.956145;
b175.l = 0.0714285714285714;
b176.l = 0.0714285714285714;
b177.l = 0.0714285714285714;
b178.l = 0.0714285714285714;
b179.l = 0.0714285714285714;
b180.l = 0.0714285714285714;
b181.l = 0.0714285714285714;
b182.l = 0.0714285714285714;
b183.l = 0.0714285714285714;
b184.l = 0.0714285714285714;
b185.l = 0.0714285714285714;
b186.l = 0.0714285714285714;
b187.l = 0.0714285714285714;
b188.l = 0.0714285714285714;
b189.l = 0.0714285714285714;
b190.l = 0.0714285714285714;
b191.l = 0.0714285714285714;
b192.l = 0.0714285714285714;
b193.l = 0.0714285714285714;
b194.l = 0.0714285714285714;
b195.l = 0.0714285714285714;
b196.l = 0.0714285714285714;
b197.l = 0.0714285714285714;
b198.l = 0.0714285714285714;
b199.l = 0.0714285714285714;
b200.l = 0.0714285714285714;
b201.l = 0.0714285714285714;
b202.l = 0.0714285714285714;
b203.l = 0.0714285714285714;
b204.l = 0.0714285714285714;
b205.l = 0.0714285714285714;
b206.l = 0.0714285714285714;
b207.l = 0.0714285714285714;
b208.l = 0.0714285714285714;
b209.l = 0.0714285714285714;
b210.l = 0.0714285714285714;
b211.l = 0.0714285714285714;
b212.l = 0.0714285714285714;
b213.l = 0.0714285714285714;
b214.l = 0.0714285714285714;
b215.l = 0.0714285714285714;
b216.l = 0.0714285714285714;
b217.l = 0.0714285714285714;
b218.l = 0.0714285714285714;
b219.l = 0.0714285714285714;
b220.l = 0.0714285714285714;
b221.l = 0.0714285714285714;
b222.l = 0.0714285714285714;
b223.l = 0.0714285714285714;
b224.l = 0.0714285714285714;
b225.l = 0.0714285714285714;
b226.l = 0.0714285714285714;
b227.l = 0.0714285714285714;
b228.l = 0.0714285714285714;
b229.l = 0.0714285714285714;
b230.l = 0.0714285714285714;
b231.l = 0.0714285714285714;
b232.l = 0.0714285714285714;
b233.l = 0.0714285714285714;
b234.l = 0.0714285714285714;
b235.l = 0.0714285714285714;
b236.l = 0.0714285714285714;
b237.l = 0.0714285714285714;
b238.l = 0.0714285714285714;
b239.l = 0.0714285714285714;
b240.l = 0.0714285714285714;
b241.l = 0.0714285714285714;
b242.l = 0.0714285714285714;
b243.l = 0.0714285714285714;
b244.l = 0.0714285714285714;
b245.l = 0.0714285714285714;
b246.l = 0.0714285714285714;
b247.l = 0.0714285714285714;
b248.l = 0.0714285714285714;
b249.l = 0.0714285714285714;
b250.l = 0.0714285714285714;
b251.l = 0.0714285714285714;
b252.l = 0.0714285714285714;
b253.l = 0.0714285714285714;
b254.l = 0.0714285714285714;
b255.l = 0.0714285714285714;
b256.l = 0.0714285714285714;
b257.l = 0.0714285714285714;
b258.l = 0.0714285714285714;
b259.l = 0.0714285714285714;
b260.l = 0.0714285714285714;
b261.l = 0.0714285714285714;
b262.l = 0.0714285714285714;
b263.l = 0.0714285714285714;
b264.l = 0.0714285714285714;
b265.l = 0.0714285714285714;
b266.l = 0.0714285714285714;
b267.l = 0.0714285714285714;
b268.l = 0.0714285714285714;
b269.l = 0.0714285714285714;
b270.l = 0.0714285714285714;
b271.l = 0.0714285714285714;
b272.l = 0.0714285714285714;
b273.l = 0.0714285714285714;
b274.l = 0.0714285714285714;
b275.l = 0.0714285714285714;
b276.l = 0.0714285714285714;
b277.l = 0.0714285714285714;
b278.l = 0.0714285714285714;
b279.l = 0.0714285714285714;
b280.l = 0.0714285714285714;
b281.l = 0.0714285714285714;
b282.l = 0.0714285714285714;
b283.l = 0.0714285714285714;
b284.l = 0.0714285714285714;
b285.l = 0.0714285714285714;
b286.l = 0.0714285714285714;
b287.l = 0.0714285714285714;
b288.l = 0.0714285714285714;
b289.l = 0.0714285714285714;
b290.l = 0.0714285714285714;
b291.l = 0.0714285714285714;
b292.l = 0.0714285714285714;
b293.l = 0.0714285714285714;
b294.l = 0.0714285714285714;
b295.l = 0.0714285714285714;
b296.l = 0.0714285714285714;
b297.l = 0.0714285714285714;
b298.l = 0.0714285714285714;
b299.l = 0.0714285714285714;
b300.l = 0.0714285714285714;
b301.l = 0.0714285714285714;
b302.l = 0.0714285714285714;
b303.l = 0.0714285714285714;
b304.l = 0.0714285714285714;
b305.l = 0.0714285714285714;
b306.l = 0.0714285714285714;
b307.l = 0.0714285714285714;
b308.l = 0.0714285714285714;
b309.l = 0.0714285714285714;
b310.l = 0.0714285714285714;
b311.l = 0.0714285714285714;
b312.l = 0.0714285714285714;
b313.l = 0.0714285714285714;
b314.l = 0.0714285714285714;
b315.l = 0.0714285714285714;
b316.l = 0.0714285714285714;
b317.l = 0.0714285714285714;
b318.l = 0.0714285714285714;
b319.l = 0.0714285714285714;
b320.l = 0.0714285714285714;
b321.l = 0.0714285714285714;
b322.l = 0.0714285714285714;
b323.l = 0.0714285714285714;
b324.l = 0.0714285714285714;
b325.l = 0.0714285714285714;
b326.l = 0.0714285714285714;
b327.l = 0.0714285714285714;
b328.l = 0.0714285714285714;
b329.l = 0.0714285714285714;
b330.l = 0.0714285714285714;
b331.l = 0.0714285714285714;
b332.l = 0.0714285714285714;
b333.l = 0.0714285714285714;
b334.l = 0.0714285714285714;
b335.l = 0.0714285714285714;
b336.l = 0.0714285714285714;
b337.l = 0.0714285714285714;
b338.l = 0.0714285714285714;
b339.l = 0.0714285714285714;
b340.l = 0.0714285714285714;
b341.l = 0.0714285714285714;
b342.l = 0.0714285714285714;

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: 2019-07-12 Git hash: 46a7b4f1
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