MINLPLib
A Library of Mixed-Integer and Continuous Nonlinear Programming Instances
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Instance tls7
| Formatsⓘ | ams gms mod nl osil py |
| Primal Bounds (infeas ≤ 1e-08)ⓘ | |
| Other points (infeas > 1e-08)ⓘ | |
| Dual Boundsⓘ | 3.20000000 (ALPHAECP) 6.30000000 (ANTIGONE) 5.10000000 (BARON) 4.37649736 (BONMIN) 0.35911200 (COUENNE) 7.50000000 (GUROBI) 6.32253000 (Gurobi (using a MISOCP reformulation; by Miles Lubin and Emre Yamangil)) 4.09589156 (LINDO) 5.11944603 (SCIP) 7.07112479 (SHOT) 7.38130979 (XPRESS) |
| Referencesⓘ | Harjunkoski, Iiro, Westerlund, Tapio, Pörn, Ray, and Skrifvars, Hans, Different Transformations for Solving Non-Convex Trim Loss Problems by MINLP, European Journal of Operational Research, 105:3, 1998, 594-603. |
| Sourceⓘ | MacMINLP model trimlon.mod with trimloss7.dat |
| Applicationⓘ | Trim loss minimization problem |
| Added to libraryⓘ | 01 May 2001 |
| Problem typeⓘ | MINLP |
| #Variablesⓘ | 345 |
| #Binary Variablesⓘ | 289 |
| #Integer Variablesⓘ | 7 |
| #Nonlinear Variablesⓘ | 56 |
| #Nonlinear Binary Variablesⓘ | 0 |
| #Nonlinear Integer Variablesⓘ | 7 |
| Objective Senseⓘ | min |
| Objective typeⓘ | linear |
| Objective curvatureⓘ | linear |
| #Nonzeros in Objectiveⓘ | 72 |
| #Nonlinear Nonzeros in Objectiveⓘ | 0 |
| #Constraintsⓘ | 154 |
| #Linear Constraintsⓘ | 147 |
| #Quadratic Constraintsⓘ | 0 |
| #Polynomial Constraintsⓘ | 0 |
| #Signomial Constraintsⓘ | 7 |
| #General Nonlinear Constraintsⓘ | 0 |
| Operands in Gen. Nonlin. Functionsⓘ | |
| Constraints curvatureⓘ | convex |
| #Nonzeros in Jacobianⓘ | 2185 |
| #Nonlinear Nonzeros in Jacobianⓘ | 98 |
| #Nonzeros in (Upper-Left) Hessian of Lagrangianⓘ | 154 |
| #Nonzeros in Diagonal of Hessian of Lagrangianⓘ | 56 |
| #Blocks in Hessian of Lagrangianⓘ | 7 |
| Minimal blocksize in Hessian of Lagrangianⓘ | 8 |
| Maximal blocksize in Hessian of Lagrangianⓘ | 8 |
| Average blocksize in Hessian of Lagrangianⓘ | 8.0 |
| #Semicontinuitiesⓘ | 0 |
| #Nonlinear Semicontinuitiesⓘ | 0 |
| #SOS type 1ⓘ | 0 |
| #SOS type 2ⓘ | 0 |
| Minimal coefficientⓘ | 1.0000e-01 |
| Maximal coefficientⓘ | 3.4000e+03 |
| Infeasibility of initial pointⓘ | 3200 |
| Sparsity Jacobianⓘ |  |
| Sparsity Hessian of Lagrangianⓘ |  |
$offlisting
*
* Equation counts
* Total E G L N X C B
* 155 57 0 98 0 0 0 0
*
* Variable counts
* x b i s1s s2s sc si
* Total cont binary integer sos1 sos2 scont sint
* 346 50 289 7 0 0 0 0
* FX 0
*
* Nonzero counts
* Total const NL DLL
* 2258 2160 98 0
*
* Solve m using MINLP minimizing objvar;
Variables b1,b2,b3,b4,b5,b6,b7,i8,i9,i10,i11,i12,i13,i14,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,b64,b65,b66,b67,b68,b69,b70
,b71,b72,b73,b74,b75,b76,b77,b78,b79,b80,b81,b82,b83,b84,b85,b86,b87
,b88,b89,b90,b91,b92,b93,b94,b95,b96,b97,b98,b99,b100,b101,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,objvar;
Binary Variables b1,b2,b3,b4,b5,b6,b7,b64,b65,b66,b67,b68,b69,b70,b71,b72,b73
,b74,b75,b76,b77,b78,b79,b80,b81,b82,b83,b84,b85,b86,b87,b88,b89,b90
,b91,b92,b93,b94,b95,b96,b97,b98,b99,b100,b101,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;
Integer Variables i8,i9,i10,i11,i12,i13,i14;
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;
e1.. - 0.1*b1 - 0.2*b2 - 0.3*b3 - 0.4*b4 - 0.5*b5 - 0.6*b6 - 0.7*b7 - b64
- 2*b65 - 3*b66 - 4*b67 - 5*b68 - 6*b69 - 7*b70 - 8*b71 - 9*b72 - 10*b73
- 11*b74 - 12*b75 - 13*b76 - 14*b77 - 15*b78 - b79 - 2*b80 - 3*b81
- 4*b82 - 5*b83 - 6*b84 - 7*b85 - 8*b86 - 9*b87 - 10*b88 - 11*b89
- 12*b90 - b91 - 2*b92 - 3*b93 - 4*b94 - 5*b95 - 6*b96 - 7*b97 - 8*b98
- 9*b99 - 10*b100 - 11*b101 - b102 - 2*b103 - 3*b104 - 4*b105 - 5*b106
- 6*b107 - 7*b108 - 8*b109 - b110 - 2*b111 - 3*b112 - 4*b113 - 5*b114
- 6*b115 - 7*b116 - 8*b117 - b118 - 2*b119 - 3*b120 - 4*b121 - 5*b122
- 6*b123 - b124 - 2*b125 - 3*b126 - 4*b127 - 5*b128 + objvar =E= 0;
e2.. 550*b129 + 1100*b130 + 1650*b131 + 2200*b132 + 2750*b133 + 3300*b134
+ 630*b171 + 1260*b172 + 1890*b173 + 2520*b174 + 3150*b175 + 685*b206
+ 1370*b207 + 2055*b208 + 2740*b209 + 720*b234 + 1440*b235 + 2160*b236
+ 2880*b237 + 760*b262 + 1520*b263 + 2280*b264 + 3040*b265 + 810*b290
+ 1620*b291 + 2430*b292 + 3240*b293 + 850*b318 + 1700*b319 + 2550*b320
+ 3400*b321 =L= 3400;
e3.. 550*b135 + 1100*b136 + 1650*b137 + 2200*b138 + 2750*b139 + 3300*b140
+ 630*b176 + 1260*b177 + 1890*b178 + 2520*b179 + 3150*b180 + 685*b210
+ 1370*b211 + 2055*b212 + 2740*b213 + 720*b238 + 1440*b239 + 2160*b240
+ 2880*b241 + 760*b266 + 1520*b267 + 2280*b268 + 3040*b269 + 810*b294
+ 1620*b295 + 2430*b296 + 3240*b297 + 850*b322 + 1700*b323 + 2550*b324
+ 3400*b325 =L= 3400;
e4.. 550*b141 + 1100*b142 + 1650*b143 + 2200*b144 + 2750*b145 + 3300*b146
+ 630*b181 + 1260*b182 + 1890*b183 + 2520*b184 + 3150*b185 + 685*b214
+ 1370*b215 + 2055*b216 + 2740*b217 + 720*b242 + 1440*b243 + 2160*b244
+ 2880*b245 + 760*b270 + 1520*b271 + 2280*b272 + 3040*b273 + 810*b298
+ 1620*b299 + 2430*b300 + 3240*b301 + 850*b326 + 1700*b327 + 2550*b328
+ 3400*b329 =L= 3400;
e5.. 550*b147 + 1100*b148 + 1650*b149 + 2200*b150 + 2750*b151 + 3300*b152
+ 630*b186 + 1260*b187 + 1890*b188 + 2520*b189 + 3150*b190 + 685*b218
+ 1370*b219 + 2055*b220 + 2740*b221 + 720*b246 + 1440*b247 + 2160*b248
+ 2880*b249 + 760*b274 + 1520*b275 + 2280*b276 + 3040*b277 + 810*b302
+ 1620*b303 + 2430*b304 + 3240*b305 + 850*b330 + 1700*b331 + 2550*b332
+ 3400*b333 =L= 3400;
e6.. 550*b153 + 1100*b154 + 1650*b155 + 2200*b156 + 2750*b157 + 3300*b158
+ 630*b191 + 1260*b192 + 1890*b193 + 2520*b194 + 3150*b195 + 685*b222
+ 1370*b223 + 2055*b224 + 2740*b225 + 720*b250 + 1440*b251 + 2160*b252
+ 2880*b253 + 760*b278 + 1520*b279 + 2280*b280 + 3040*b281 + 810*b306
+ 1620*b307 + 2430*b308 + 3240*b309 + 850*b334 + 1700*b335 + 2550*b336
+ 3400*b337 =L= 3400;
e7.. 550*b159 + 1100*b160 + 1650*b161 + 2200*b162 + 2750*b163 + 3300*b164
+ 630*b196 + 1260*b197 + 1890*b198 + 2520*b199 + 3150*b200 + 685*b226
+ 1370*b227 + 2055*b228 + 2740*b229 + 720*b254 + 1440*b255 + 2160*b256
+ 2880*b257 + 760*b282 + 1520*b283 + 2280*b284 + 3040*b285 + 810*b310
+ 1620*b311 + 2430*b312 + 3240*b313 + 850*b338 + 1700*b339 + 2550*b340
+ 3400*b341 =L= 3400;
e8.. 550*b165 + 1100*b166 + 1650*b167 + 2200*b168 + 2750*b169 + 3300*b170
+ 630*b201 + 1260*b202 + 1890*b203 + 2520*b204 + 3150*b205 + 685*b230
+ 1370*b231 + 2055*b232 + 2740*b233 + 720*b258 + 1440*b259 + 2160*b260
+ 2880*b261 + 760*b286 + 1520*b287 + 2280*b288 + 3040*b289 + 810*b314
+ 1620*b315 + 2430*b316 + 3240*b317 + 850*b342 + 1700*b343 + 2550*b344
+ 3400*b345 =L= 3400;
e9.. - 550*b129 - 1100*b130 - 1650*b131 - 2200*b132 - 2750*b133 - 3300*b134
- 630*b171 - 1260*b172 - 1890*b173 - 2520*b174 - 3150*b175 - 685*b206
- 1370*b207 - 2055*b208 - 2740*b209 - 720*b234 - 1440*b235 - 2160*b236
- 2880*b237 - 760*b262 - 1520*b263 - 2280*b264 - 3040*b265 - 810*b290
- 1620*b291 - 2430*b292 - 3240*b293 - 850*b318 - 1700*b319 - 2550*b320
- 3400*b321 =L= -3200;
e10.. - 550*b135 - 1100*b136 - 1650*b137 - 2200*b138 - 2750*b139 - 3300*b140
- 630*b176 - 1260*b177 - 1890*b178 - 2520*b179 - 3150*b180 - 685*b210
- 1370*b211 - 2055*b212 - 2740*b213 - 720*b238 - 1440*b239 - 2160*b240
- 2880*b241 - 760*b266 - 1520*b267 - 2280*b268 - 3040*b269 - 810*b294
- 1620*b295 - 2430*b296 - 3240*b297 - 850*b322 - 1700*b323 - 2550*b324
- 3400*b325 =L= -3200;
e11.. - 550*b141 - 1100*b142 - 1650*b143 - 2200*b144 - 2750*b145 - 3300*b146
- 630*b181 - 1260*b182 - 1890*b183 - 2520*b184 - 3150*b185 - 685*b214
- 1370*b215 - 2055*b216 - 2740*b217 - 720*b242 - 1440*b243 - 2160*b244
- 2880*b245 - 760*b270 - 1520*b271 - 2280*b272 - 3040*b273 - 810*b298
- 1620*b299 - 2430*b300 - 3240*b301 - 850*b326 - 1700*b327 - 2550*b328
- 3400*b329 =L= -3200;
e12.. - 550*b147 - 1100*b148 - 1650*b149 - 2200*b150 - 2750*b151 - 3300*b152
- 630*b186 - 1260*b187 - 1890*b188 - 2520*b189 - 3150*b190 - 685*b218
- 1370*b219 - 2055*b220 - 2740*b221 - 720*b246 - 1440*b247 - 2160*b248
- 2880*b249 - 760*b274 - 1520*b275 - 2280*b276 - 3040*b277 - 810*b302
- 1620*b303 - 2430*b304 - 3240*b305 - 850*b330 - 1700*b331 - 2550*b332
- 3400*b333 =L= -3200;
e13.. - 550*b153 - 1100*b154 - 1650*b155 - 2200*b156 - 2750*b157 - 3300*b158
- 630*b191 - 1260*b192 - 1890*b193 - 2520*b194 - 3150*b195 - 685*b222
- 1370*b223 - 2055*b224 - 2740*b225 - 720*b250 - 1440*b251 - 2160*b252
- 2880*b253 - 760*b278 - 1520*b279 - 2280*b280 - 3040*b281 - 810*b306
- 1620*b307 - 2430*b308 - 3240*b309 - 850*b334 - 1700*b335 - 2550*b336
- 3400*b337 =L= -3200;
e14.. - 550*b159 - 1100*b160 - 1650*b161 - 2200*b162 - 2750*b163 - 3300*b164
- 630*b196 - 1260*b197 - 1890*b198 - 2520*b199 - 3150*b200 - 685*b226
- 1370*b227 - 2055*b228 - 2740*b229 - 720*b254 - 1440*b255 - 2160*b256
- 2880*b257 - 760*b282 - 1520*b283 - 2280*b284 - 3040*b285 - 810*b310
- 1620*b311 - 2430*b312 - 3240*b313 - 850*b338 - 1700*b339 - 2550*b340
- 3400*b341 =L= -3200;
e15.. - 550*b165 - 1100*b166 - 1650*b167 - 2200*b168 - 2750*b169 - 3300*b170
- 630*b201 - 1260*b202 - 1890*b203 - 2520*b204 - 3150*b205 - 685*b230
- 1370*b231 - 2055*b232 - 2740*b233 - 720*b258 - 1440*b259 - 2160*b260
- 2880*b261 - 760*b286 - 1520*b287 - 2280*b288 - 3040*b289 - 810*b314
- 1620*b315 - 2430*b316 - 3240*b317 - 850*b342 - 1700*b343 - 2550*b344
- 3400*b345 =L= -3200;
e16.. b129 + 2*b130 + 3*b131 + 4*b132 + 5*b133 + 6*b134 + b171 + 2*b172
+ 3*b173 + 4*b174 + 5*b175 + b206 + 2*b207 + 3*b208 + 4*b209 + b234
+ 2*b235 + 3*b236 + 4*b237 + b262 + 2*b263 + 3*b264 + 4*b265 + b290
+ 2*b291 + 3*b292 + 4*b293 + b318 + 2*b319 + 3*b320 + 4*b321 =L= 6;
e17.. b135 + 2*b136 + 3*b137 + 4*b138 + 5*b139 + 6*b140 + b176 + 2*b177
+ 3*b178 + 4*b179 + 5*b180 + b210 + 2*b211 + 3*b212 + 4*b213 + b238
+ 2*b239 + 3*b240 + 4*b241 + b266 + 2*b267 + 3*b268 + 4*b269 + b294
+ 2*b295 + 3*b296 + 4*b297 + b322 + 2*b323 + 3*b324 + 4*b325 =L= 6;
e18.. b141 + 2*b142 + 3*b143 + 4*b144 + 5*b145 + 6*b146 + b181 + 2*b182
+ 3*b183 + 4*b184 + 5*b185 + b214 + 2*b215 + 3*b216 + 4*b217 + b242
+ 2*b243 + 3*b244 + 4*b245 + b270 + 2*b271 + 3*b272 + 4*b273 + b298
+ 2*b299 + 3*b300 + 4*b301 + b326 + 2*b327 + 3*b328 + 4*b329 =L= 6;
e19.. b147 + 2*b148 + 3*b149 + 4*b150 + 5*b151 + 6*b152 + b186 + 2*b187
+ 3*b188 + 4*b189 + 5*b190 + b218 + 2*b219 + 3*b220 + 4*b221 + b246
+ 2*b247 + 3*b248 + 4*b249 + b274 + 2*b275 + 3*b276 + 4*b277 + b302
+ 2*b303 + 3*b304 + 4*b305 + b330 + 2*b331 + 3*b332 + 4*b333 =L= 6;
e20.. b153 + 2*b154 + 3*b155 + 4*b156 + 5*b157 + 6*b158 + b191 + 2*b192
+ 3*b193 + 4*b194 + 5*b195 + b222 + 2*b223 + 3*b224 + 4*b225 + b250
+ 2*b251 + 3*b252 + 4*b253 + b278 + 2*b279 + 3*b280 + 4*b281 + b306
+ 2*b307 + 3*b308 + 4*b309 + b334 + 2*b335 + 3*b336 + 4*b337 =L= 6;
e21.. b159 + 2*b160 + 3*b161 + 4*b162 + 5*b163 + 6*b164 + b196 + 2*b197
+ 3*b198 + 4*b199 + 5*b200 + b226 + 2*b227 + 3*b228 + 4*b229 + b254
+ 2*b255 + 3*b256 + 4*b257 + b282 + 2*b283 + 3*b284 + 4*b285 + b310
+ 2*b311 + 3*b312 + 4*b313 + b338 + 2*b339 + 3*b340 + 4*b341 =L= 6;
e22.. b165 + 2*b166 + 3*b167 + 4*b168 + 5*b169 + 6*b170 + b201 + 2*b202
+ 3*b203 + 4*b204 + 5*b205 + b230 + 2*b231 + 3*b232 + 4*b233 + b258
+ 2*b259 + 3*b260 + 4*b261 + b286 + 2*b287 + 3*b288 + 4*b289 + b314
+ 2*b315 + 3*b316 + 4*b317 + b342 + 2*b343 + 3*b344 + 4*b345 =L= 6;
e23.. b1 - b64 - 2*b65 - 3*b66 - 4*b67 - 5*b68 - 6*b69 - 7*b70 - 8*b71
- 9*b72 - 10*b73 - 11*b74 - 12*b75 - 13*b76 - 14*b77 - 15*b78 =L= 0;
e24.. b2 - b79 - 2*b80 - 3*b81 - 4*b82 - 5*b83 - 6*b84 - 7*b85 - 8*b86
- 9*b87 - 10*b88 - 11*b89 - 12*b90 =L= 0;
e25.. b3 - b91 - 2*b92 - 3*b93 - 4*b94 - 5*b95 - 6*b96 - 7*b97 - 8*b98
- 9*b99 - 10*b100 - 11*b101 =L= 0;
e26.. b4 - b102 - 2*b103 - 3*b104 - 4*b105 - 5*b106 - 6*b107 - 7*b108
- 8*b109 =L= 0;
e27.. b5 - b110 - 2*b111 - 3*b112 - 4*b113 - 5*b114 - 6*b115 - 7*b116
- 8*b117 =L= 0;
e28.. b6 - b118 - 2*b119 - 3*b120 - 4*b121 - 5*b122 - 6*b123 =L= 0;
e29.. b7 - b124 - 2*b125 - 3*b126 - 4*b127 - 5*b128 =L= 0;
e30.. - 15*b1 + b64 + 2*b65 + 3*b66 + 4*b67 + 5*b68 + 6*b69 + 7*b70 + 8*b71
+ 9*b72 + 10*b73 + 11*b74 + 12*b75 + 13*b76 + 14*b77 + 15*b78 =L= 0;
e31.. - 12*b2 + b79 + 2*b80 + 3*b81 + 4*b82 + 5*b83 + 6*b84 + 7*b85 + 8*b86
+ 9*b87 + 10*b88 + 11*b89 + 12*b90 =L= 0;
e32.. - 11*b3 + b91 + 2*b92 + 3*b93 + 4*b94 + 5*b95 + 6*b96 + 7*b97 + 8*b98
+ 9*b99 + 10*b100 + 11*b101 =L= 0;
e33.. - 8*b4 + b102 + 2*b103 + 3*b104 + 4*b105 + 5*b106 + 6*b107 + 7*b108
+ 8*b109 =L= 0;
e34.. - 8*b5 + b110 + 2*b111 + 3*b112 + 4*b113 + 5*b114 + 6*b115 + 7*b116
+ 8*b117 =L= 0;
e35.. - 6*b6 + b118 + 2*b119 + 3*b120 + 4*b121 + 5*b122 + 6*b123 =L= 0;
e36.. - 5*b7 + b124 + 2*b125 + 3*b126 + 4*b127 + 5*b128 =L= 0;
e37.. i8 - 3*b64 - 8*b65 - 15*b66 - 24*b67 - 35*b68 - 48*b69 - 63*b70
- 80*b71 - 99*b72 - 120*b73 - 143*b74 - 168*b75 - 195*b76 - 224*b77
- 255*b78 =E= 1;
e38.. i9 - 3*b79 - 8*b80 - 15*b81 - 24*b82 - 35*b83 - 48*b84 - 63*b85
- 80*b86 - 99*b87 - 120*b88 - 143*b89 - 168*b90 =E= 1;
e39.. i10 - 3*b91 - 8*b92 - 15*b93 - 24*b94 - 35*b95 - 48*b96 - 63*b97
- 80*b98 - 99*b99 - 120*b100 - 143*b101 =E= 1;
e40.. i11 - 3*b102 - 8*b103 - 15*b104 - 24*b105 - 35*b106 - 48*b107
- 63*b108 - 80*b109 =E= 1;
e41.. i12 - 3*b110 - 8*b111 - 15*b112 - 24*b113 - 35*b114 - 48*b115
- 63*b116 - 80*b117 =E= 1;
e42.. i13 - 3*b118 - 8*b119 - 15*b120 - 24*b121 - 35*b122 - 48*b123 =E= 1;
e43.. i14 - 3*b124 - 8*b125 - 15*b126 - 24*b127 - 35*b128 =E= 1;
e44.. b64 + b65 + b66 + b67 + b68 + b69 + b70 + b71 + b72 + b73 + b74 + b75
+ b76 + b77 + b78 =L= 1;
e45.. b79 + b80 + b81 + b82 + b83 + b84 + b85 + b86 + b87 + b88 + b89 + b90
=L= 1;
e46.. b91 + b92 + b93 + b94 + b95 + b96 + b97 + b98 + b99 + b100 + b101
=L= 1;
e47.. b102 + b103 + b104 + b105 + b106 + b107 + b108 + b109 =L= 1;
e48.. b110 + b111 + b112 + b113 + b114 + b115 + b116 + b117 =L= 1;
e49.. b118 + b119 + b120 + b121 + b122 + b123 =L= 1;
e50.. b124 + b125 + b126 + b127 + b128 =L= 1;
e51.. x15 - 3*b129 - 8*b130 - 15*b131 - 24*b132 - 35*b133 - 48*b134 =E= 1;
e52.. x16 - 3*b135 - 8*b136 - 15*b137 - 24*b138 - 35*b139 - 48*b140 =E= 1;
e53.. x17 - 3*b141 - 8*b142 - 15*b143 - 24*b144 - 35*b145 - 48*b146 =E= 1;
e54.. x18 - 3*b147 - 8*b148 - 15*b149 - 24*b150 - 35*b151 - 48*b152 =E= 1;
e55.. x19 - 3*b153 - 8*b154 - 15*b155 - 24*b156 - 35*b157 - 48*b158 =E= 1;
e56.. x20 - 3*b159 - 8*b160 - 15*b161 - 24*b162 - 35*b163 - 48*b164 =E= 1;
e57.. x21 - 3*b165 - 8*b166 - 15*b167 - 24*b168 - 35*b169 - 48*b170 =E= 1;
e58.. x22 - 3*b171 - 8*b172 - 15*b173 - 24*b174 - 35*b175 =E= 1;
e59.. x23 - 3*b176 - 8*b177 - 15*b178 - 24*b179 - 35*b180 =E= 1;
e60.. x24 - 3*b181 - 8*b182 - 15*b183 - 24*b184 - 35*b185 =E= 1;
e61.. x25 - 3*b186 - 8*b187 - 15*b188 - 24*b189 - 35*b190 =E= 1;
e62.. x26 - 3*b191 - 8*b192 - 15*b193 - 24*b194 - 35*b195 =E= 1;
e63.. x27 - 3*b196 - 8*b197 - 15*b198 - 24*b199 - 35*b200 =E= 1;
e64.. x28 - 3*b201 - 8*b202 - 15*b203 - 24*b204 - 35*b205 =E= 1;
e65.. x29 - 3*b206 - 8*b207 - 15*b208 - 24*b209 =E= 1;
e66.. x30 - 3*b210 - 8*b211 - 15*b212 - 24*b213 =E= 1;
e67.. x31 - 3*b214 - 8*b215 - 15*b216 - 24*b217 =E= 1;
e68.. x32 - 3*b218 - 8*b219 - 15*b220 - 24*b221 =E= 1;
e69.. x33 - 3*b222 - 8*b223 - 15*b224 - 24*b225 =E= 1;
e70.. x34 - 3*b226 - 8*b227 - 15*b228 - 24*b229 =E= 1;
e71.. x35 - 3*b230 - 8*b231 - 15*b232 - 24*b233 =E= 1;
e72.. x36 - 3*b234 - 8*b235 - 15*b236 - 24*b237 =E= 1;
e73.. x37 - 3*b238 - 8*b239 - 15*b240 - 24*b241 =E= 1;
e74.. x38 - 3*b242 - 8*b243 - 15*b244 - 24*b245 =E= 1;
e75.. x39 - 3*b246 - 8*b247 - 15*b248 - 24*b249 =E= 1;
e76.. x40 - 3*b250 - 8*b251 - 15*b252 - 24*b253 =E= 1;
e77.. x41 - 3*b254 - 8*b255 - 15*b256 - 24*b257 =E= 1;
e78.. x42 - 3*b258 - 8*b259 - 15*b260 - 24*b261 =E= 1;
e79.. x43 - 3*b262 - 8*b263 - 15*b264 - 24*b265 =E= 1;
e80.. x44 - 3*b266 - 8*b267 - 15*b268 - 24*b269 =E= 1;
e81.. x45 - 3*b270 - 8*b271 - 15*b272 - 24*b273 =E= 1;
e82.. x46 - 3*b274 - 8*b275 - 15*b276 - 24*b277 =E= 1;
e83.. x47 - 3*b278 - 8*b279 - 15*b280 - 24*b281 =E= 1;
e84.. x48 - 3*b282 - 8*b283 - 15*b284 - 24*b285 =E= 1;
e85.. x49 - 3*b286 - 8*b287 - 15*b288 - 24*b289 =E= 1;
e86.. x50 - 3*b290 - 8*b291 - 15*b292 - 24*b293 =E= 1;
e87.. x51 - 3*b294 - 8*b295 - 15*b296 - 24*b297 =E= 1;
e88.. x52 - 3*b298 - 8*b299 - 15*b300 - 24*b301 =E= 1;
e89.. x53 - 3*b302 - 8*b303 - 15*b304 - 24*b305 =E= 1;
e90.. x54 - 3*b306 - 8*b307 - 15*b308 - 24*b309 =E= 1;
e91.. x55 - 3*b310 - 8*b311 - 15*b312 - 24*b313 =E= 1;
e92.. x56 - 3*b314 - 8*b315 - 15*b316 - 24*b317 =E= 1;
e93.. x57 - 3*b318 - 8*b319 - 15*b320 - 24*b321 =E= 1;
e94.. x58 - 3*b322 - 8*b323 - 15*b324 - 24*b325 =E= 1;
e95.. x59 - 3*b326 - 8*b327 - 15*b328 - 24*b329 =E= 1;
e96.. x60 - 3*b330 - 8*b331 - 15*b332 - 24*b333 =E= 1;
e97.. x61 - 3*b334 - 8*b335 - 15*b336 - 24*b337 =E= 1;
e98.. x62 - 3*b338 - 8*b339 - 15*b340 - 24*b341 =E= 1;
e99.. x63 - 3*b342 - 8*b343 - 15*b344 - 24*b345 =E= 1;
e100.. b129 + b130 + b131 + b132 + b133 + b134 =L= 1;
e101.. b135 + b136 + b137 + b138 + b139 + b140 =L= 1;
e102.. b141 + b142 + b143 + b144 + b145 + b146 =L= 1;
e103.. b147 + b148 + b149 + b150 + b151 + b152 =L= 1;
e104.. b153 + b154 + b155 + b156 + b157 + b158 =L= 1;
e105.. b159 + b160 + b161 + b162 + b163 + b164 =L= 1;
e106.. b165 + b166 + b167 + b168 + b169 + b170 =L= 1;
e107.. b171 + b172 + b173 + b174 + b175 =L= 1;
e108.. b176 + b177 + b178 + b179 + b180 =L= 1;
e109.. b181 + b182 + b183 + b184 + b185 =L= 1;
e110.. b186 + b187 + b188 + b189 + b190 =L= 1;
e111.. b191 + b192 + b193 + b194 + b195 =L= 1;
e112.. b196 + b197 + b198 + b199 + b200 =L= 1;
e113.. b201 + b202 + b203 + b204 + b205 =L= 1;
e114.. b206 + b207 + b208 + b209 =L= 1;
e115.. b210 + b211 + b212 + b213 =L= 1;
e116.. b214 + b215 + b216 + b217 =L= 1;
e117.. b218 + b219 + b220 + b221 =L= 1;
e118.. b222 + b223 + b224 + b225 =L= 1;
e119.. b226 + b227 + b228 + b229 =L= 1;
e120.. b230 + b231 + b232 + b233 =L= 1;
e121.. b234 + b235 + b236 + b237 =L= 1;
e122.. b238 + b239 + b240 + b241 =L= 1;
e123.. b242 + b243 + b244 + b245 =L= 1;
e124.. b246 + b247 + b248 + b249 =L= 1;
e125.. b250 + b251 + b252 + b253 =L= 1;
e126.. b254 + b255 + b256 + b257 =L= 1;
e127.. b258 + b259 + b260 + b261 =L= 1;
e128.. b262 + b263 + b264 + b265 =L= 1;
e129.. b266 + b267 + b268 + b269 =L= 1;
e130.. b270 + b271 + b272 + b273 =L= 1;
e131.. b274 + b275 + b276 + b277 =L= 1;
e132.. b278 + b279 + b280 + b281 =L= 1;
e133.. b282 + b283 + b284 + b285 =L= 1;
e134.. b286 + b287 + b288 + b289 =L= 1;
e135.. b290 + b291 + b292 + b293 =L= 1;
e136.. b294 + b295 + b296 + b297 =L= 1;
e137.. b298 + b299 + b300 + b301 =L= 1;
e138.. b302 + b303 + b304 + b305 =L= 1;
e139.. b306 + b307 + b308 + b309 =L= 1;
e140.. b310 + b311 + b312 + b313 =L= 1;
e141.. b314 + b315 + b316 + b317 =L= 1;
e142.. b318 + b319 + b320 + b321 =L= 1;
e143.. b322 + b323 + b324 + b325 =L= 1;
e144.. b326 + b327 + b328 + b329 =L= 1;
e145.. b330 + b331 + b332 + b333 =L= 1;
e146.. b334 + b335 + b336 + b337 =L= 1;
e147.. b338 + b339 + b340 + b341 =L= 1;
e148.. b342 + b343 + b344 + b345 =L= 1;
e149.. -(sqrt(i8*x15) + sqrt(i9*x16) + sqrt(i10*x17) + sqrt(i11*x18) + sqrt(i12
*x19) + sqrt(i13*x20) + sqrt(i14*x21)) + b64 + 2*b65 + 3*b66 + 4*b67
+ 5*b68 + 6*b69 + 7*b70 + 8*b71 + 9*b72 + 10*b73 + 11*b74 + 12*b75
+ 13*b76 + 14*b77 + 15*b78 + b79 + 2*b80 + 3*b81 + 4*b82 + 5*b83
+ 6*b84 + 7*b85 + 8*b86 + 9*b87 + 10*b88 + 11*b89 + 12*b90 + b91
+ 2*b92 + 3*b93 + 4*b94 + 5*b95 + 6*b96 + 7*b97 + 8*b98 + 9*b99
+ 10*b100 + 11*b101 + b102 + 2*b103 + 3*b104 + 4*b105 + 5*b106 + 6*b107
+ 7*b108 + 8*b109 + b110 + 2*b111 + 3*b112 + 4*b113 + 5*b114 + 6*b115
+ 7*b116 + 8*b117 + b118 + 2*b119 + 3*b120 + 4*b121 + 5*b122 + 6*b123
+ b124 + 2*b125 + 3*b126 + 4*b127 + 5*b128 + b129 + 2*b130 + 3*b131
+ 4*b132 + 5*b133 + 6*b134 + b135 + 2*b136 + 3*b137 + 4*b138 + 5*b139
+ 6*b140 + b141 + 2*b142 + 3*b143 + 4*b144 + 5*b145 + 6*b146 + b147
+ 2*b148 + 3*b149 + 4*b150 + 5*b151 + 6*b152 + b153 + 2*b154 + 3*b155
+ 4*b156 + 5*b157 + 6*b158 + b159 + 2*b160 + 3*b161 + 4*b162 + 5*b163
+ 6*b164 + b165 + 2*b166 + 3*b167 + 4*b168 + 5*b169 + 6*b170 =L= -15;
e150.. -(sqrt(i8*x22) + sqrt(i9*x23) + sqrt(i10*x24) + sqrt(i11*x25) + sqrt(i12
*x26) + sqrt(i13*x27) + sqrt(i14*x28)) + b64 + 2*b65 + 3*b66 + 4*b67
+ 5*b68 + 6*b69 + 7*b70 + 8*b71 + 9*b72 + 10*b73 + 11*b74 + 12*b75
+ 13*b76 + 14*b77 + 15*b78 + b79 + 2*b80 + 3*b81 + 4*b82 + 5*b83
+ 6*b84 + 7*b85 + 8*b86 + 9*b87 + 10*b88 + 11*b89 + 12*b90 + b91
+ 2*b92 + 3*b93 + 4*b94 + 5*b95 + 6*b96 + 7*b97 + 8*b98 + 9*b99
+ 10*b100 + 11*b101 + b102 + 2*b103 + 3*b104 + 4*b105 + 5*b106 + 6*b107
+ 7*b108 + 8*b109 + b110 + 2*b111 + 3*b112 + 4*b113 + 5*b114 + 6*b115
+ 7*b116 + 8*b117 + b118 + 2*b119 + 3*b120 + 4*b121 + 5*b122 + 6*b123
+ b124 + 2*b125 + 3*b126 + 4*b127 + 5*b128 + b171 + 2*b172 + 3*b173
+ 4*b174 + 5*b175 + b176 + 2*b177 + 3*b178 + 4*b179 + 5*b180 + b181
+ 2*b182 + 3*b183 + 4*b184 + 5*b185 + b186 + 2*b187 + 3*b188 + 4*b189
+ 5*b190 + b191 + 2*b192 + 3*b193 + 4*b194 + 5*b195 + b196 + 2*b197
+ 3*b198 + 4*b199 + 5*b200 + b201 + 2*b202 + 3*b203 + 4*b204 + 5*b205
=L= -18;
e151.. -(sqrt(i8*x29) + sqrt(i9*x30) + sqrt(i10*x31) + sqrt(i11*x32) + sqrt(i12
*x33) + sqrt(i13*x34) + sqrt(i14*x35)) + b64 + 2*b65 + 3*b66 + 4*b67
+ 5*b68 + 6*b69 + 7*b70 + 8*b71 + 9*b72 + 10*b73 + 11*b74 + 12*b75
+ 13*b76 + 14*b77 + 15*b78 + b79 + 2*b80 + 3*b81 + 4*b82 + 5*b83
+ 6*b84 + 7*b85 + 8*b86 + 9*b87 + 10*b88 + 11*b89 + 12*b90 + b91
+ 2*b92 + 3*b93 + 4*b94 + 5*b95 + 6*b96 + 7*b97 + 8*b98 + 9*b99
+ 10*b100 + 11*b101 + b102 + 2*b103 + 3*b104 + 4*b105 + 5*b106 + 6*b107
+ 7*b108 + 8*b109 + b110 + 2*b111 + 3*b112 + 4*b113 + 5*b114 + 6*b115
+ 7*b116 + 8*b117 + b118 + 2*b119 + 3*b120 + 4*b121 + 5*b122 + 6*b123
+ b124 + 2*b125 + 3*b126 + 4*b127 + 5*b128 + b206 + 2*b207 + 3*b208
+ 4*b209 + b210 + 2*b211 + 3*b212 + 4*b213 + b214 + 2*b215 + 3*b216
+ 4*b217 + b218 + 2*b219 + 3*b220 + 4*b221 + b222 + 2*b223 + 3*b224
+ 4*b225 + b226 + 2*b227 + 3*b228 + 4*b229 + b230 + 2*b231 + 3*b232
+ 4*b233 =L= -22;
e152.. -(sqrt(i8*x36) + sqrt(i9*x37) + sqrt(i10*x38) + sqrt(i11*x39) + sqrt(i12
*x40) + sqrt(i13*x41) + sqrt(i14*x42)) + b64 + 2*b65 + 3*b66 + 4*b67
+ 5*b68 + 6*b69 + 7*b70 + 8*b71 + 9*b72 + 10*b73 + 11*b74 + 12*b75
+ 13*b76 + 14*b77 + 15*b78 + b79 + 2*b80 + 3*b81 + 4*b82 + 5*b83
+ 6*b84 + 7*b85 + 8*b86 + 9*b87 + 10*b88 + 11*b89 + 12*b90 + b91
+ 2*b92 + 3*b93 + 4*b94 + 5*b95 + 6*b96 + 7*b97 + 8*b98 + 9*b99
+ 10*b100 + 11*b101 + b102 + 2*b103 + 3*b104 + 4*b105 + 5*b106 + 6*b107
+ 7*b108 + 8*b109 + b110 + 2*b111 + 3*b112 + 4*b113 + 5*b114 + 6*b115
+ 7*b116 + 8*b117 + b118 + 2*b119 + 3*b120 + 4*b121 + 5*b122 + 6*b123
+ b124 + 2*b125 + 3*b126 + 4*b127 + 5*b128 + b234 + 2*b235 + 3*b236
+ 4*b237 + b238 + 2*b239 + 3*b240 + 4*b241 + b242 + 2*b243 + 3*b244
+ 4*b245 + b246 + 2*b247 + 3*b248 + 4*b249 + b250 + 2*b251 + 3*b252
+ 4*b253 + b254 + 2*b255 + 3*b256 + 4*b257 + b258 + 2*b259 + 3*b260
+ 4*b261 =L= -12;
e153.. -(sqrt(i8*x43) + sqrt(i9*x44) + sqrt(i10*x45) + sqrt(i11*x46) + sqrt(i12
*x47) + sqrt(i13*x48) + sqrt(i14*x49)) + b64 + 2*b65 + 3*b66 + 4*b67
+ 5*b68 + 6*b69 + 7*b70 + 8*b71 + 9*b72 + 10*b73 + 11*b74 + 12*b75
+ 13*b76 + 14*b77 + 15*b78 + b79 + 2*b80 + 3*b81 + 4*b82 + 5*b83
+ 6*b84 + 7*b85 + 8*b86 + 9*b87 + 10*b88 + 11*b89 + 12*b90 + b91
+ 2*b92 + 3*b93 + 4*b94 + 5*b95 + 6*b96 + 7*b97 + 8*b98 + 9*b99
+ 10*b100 + 11*b101 + b102 + 2*b103 + 3*b104 + 4*b105 + 5*b106 + 6*b107
+ 7*b108 + 8*b109 + b110 + 2*b111 + 3*b112 + 4*b113 + 5*b114 + 6*b115
+ 7*b116 + 8*b117 + b118 + 2*b119 + 3*b120 + 4*b121 + 5*b122 + 6*b123
+ b124 + 2*b125 + 3*b126 + 4*b127 + 5*b128 + b262 + 2*b263 + 3*b264
+ 4*b265 + b266 + 2*b267 + 3*b268 + 4*b269 + b270 + 2*b271 + 3*b272
+ 4*b273 + b274 + 2*b275 + 3*b276 + 4*b277 + b278 + 2*b279 + 3*b280
+ 4*b281 + b282 + 2*b283 + 3*b284 + 4*b285 + b286 + 2*b287 + 3*b288
+ 4*b289 =L= -15;
e154.. -(sqrt(i8*x50) + sqrt(i9*x51) + sqrt(i10*x52) + sqrt(i11*x53) + sqrt(i12
*x54) + sqrt(i13*x55) + sqrt(i14*x56)) + b64 + 2*b65 + 3*b66 + 4*b67
+ 5*b68 + 6*b69 + 7*b70 + 8*b71 + 9*b72 + 10*b73 + 11*b74 + 12*b75
+ 13*b76 + 14*b77 + 15*b78 + b79 + 2*b80 + 3*b81 + 4*b82 + 5*b83
+ 6*b84 + 7*b85 + 8*b86 + 9*b87 + 10*b88 + 11*b89 + 12*b90 + b91
+ 2*b92 + 3*b93 + 4*b94 + 5*b95 + 6*b96 + 7*b97 + 8*b98 + 9*b99
+ 10*b100 + 11*b101 + b102 + 2*b103 + 3*b104 + 4*b105 + 5*b106 + 6*b107
+ 7*b108 + 8*b109 + b110 + 2*b111 + 3*b112 + 4*b113 + 5*b114 + 6*b115
+ 7*b116 + 8*b117 + b118 + 2*b119 + 3*b120 + 4*b121 + 5*b122 + 6*b123
+ b124 + 2*b125 + 3*b126 + 4*b127 + 5*b128 + b290 + 2*b291 + 3*b292
+ 4*b293 + b294 + 2*b295 + 3*b296 + 4*b297 + b298 + 2*b299 + 3*b300
+ 4*b301 + b302 + 2*b303 + 3*b304 + 4*b305 + b306 + 2*b307 + 3*b308
+ 4*b309 + b310 + 2*b311 + 3*b312 + 4*b313 + b314 + 2*b315 + 3*b316
+ 4*b317 =L= -19;
e155.. -(sqrt(i8*x57) + sqrt(i9*x58) + sqrt(i10*x59) + sqrt(i11*x60) + sqrt(i12
*x61) + sqrt(i13*x62) + sqrt(i14*x63)) + b64 + 2*b65 + 3*b66 + 4*b67
+ 5*b68 + 6*b69 + 7*b70 + 8*b71 + 9*b72 + 10*b73 + 11*b74 + 12*b75
+ 13*b76 + 14*b77 + 15*b78 + b79 + 2*b80 + 3*b81 + 4*b82 + 5*b83
+ 6*b84 + 7*b85 + 8*b86 + 9*b87 + 10*b88 + 11*b89 + 12*b90 + b91
+ 2*b92 + 3*b93 + 4*b94 + 5*b95 + 6*b96 + 7*b97 + 8*b98 + 9*b99
+ 10*b100 + 11*b101 + b102 + 2*b103 + 3*b104 + 4*b105 + 5*b106 + 6*b107
+ 7*b108 + 8*b109 + b110 + 2*b111 + 3*b112 + 4*b113 + 5*b114 + 6*b115
+ 7*b116 + 8*b117 + b118 + 2*b119 + 3*b120 + 4*b121 + 5*b122 + 6*b123
+ b124 + 2*b125 + 3*b126 + 4*b127 + 5*b128 + b318 + 2*b319 + 3*b320
+ 4*b321 + b322 + 2*b323 + 3*b324 + 4*b325 + b326 + 2*b327 + 3*b328
+ 4*b329 + b330 + 2*b331 + 3*b332 + 4*b333 + b334 + 2*b335 + 3*b336
+ 4*b337 + b338 + 2*b339 + 3*b340 + 4*b341 + b342 + 2*b343 + 3*b344
+ 4*b345 =L= -13;
* set non-default bounds
i8.lo = 1; i8.up = 100;
i9.lo = 1; i9.up = 100;
i10.lo = 1; i10.up = 100;
i11.lo = 1; i11.up = 100;
i12.lo = 1; i12.up = 100;
i13.lo = 1; i13.up = 100;
i14.lo = 1; i14.up = 100;
x15.lo = 1;
x16.lo = 1;
x17.lo = 1;
x18.lo = 1;
x19.lo = 1;
x20.lo = 1;
x21.lo = 1;
x22.lo = 1;
x23.lo = 1;
x24.lo = 1;
x25.lo = 1;
x26.lo = 1;
x27.lo = 1;
x28.lo = 1;
x29.lo = 1;
x30.lo = 1;
x31.lo = 1;
x32.lo = 1;
x33.lo = 1;
x34.lo = 1;
x35.lo = 1;
x36.lo = 1;
x37.lo = 1;
x38.lo = 1;
x39.lo = 1;
x40.lo = 1;
x41.lo = 1;
x42.lo = 1;
x43.lo = 1;
x44.lo = 1;
x45.lo = 1;
x46.lo = 1;
x47.lo = 1;
x48.lo = 1;
x49.lo = 1;
x50.lo = 1;
x51.lo = 1;
x52.lo = 1;
x53.lo = 1;
x54.lo = 1;
x55.lo = 1;
x56.lo = 1;
x57.lo = 1;
x58.lo = 1;
x59.lo = 1;
x60.lo = 1;
x61.lo = 1;
x62.lo = 1;
x63.lo = 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: 2025-08-07 Git hash: e62cedfc