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Instance sporttournament34
This is a quadratic model for the max-cut problem. The instance arises when minimizing so-called breaks in sports tournaments.
| Formatsⓘ | ams gms lp mod nl osil pip py |
| Primal Bounds (infeas ≤ 1e-08)ⓘ | |
| Other points (infeas > 1e-08)ⓘ | |
| Dual Boundsⓘ | 642.94935190 (ANTIGONE) 570.87003030 (BARON) 678.00000000 (COUENNE) 639.22305520 (CPLEX) 554.00000000 (GUROBI) 620.00000000 (LINDO) 561.71832210 (SCIP) 571.43381700 (SHOT) |
| Referencesⓘ | Elf, Matthias, Jünger, Michael, and Rinaldi, Giovanni, Minimizing Breaks by Maximizing Cuts, Operations Research Letters, 31:5, 2003, 343-349. |
| Sourceⓘ | POLIP instance maxcut/sched-34-4711 |
| Applicationⓘ | Sports Tournament |
| Added to libraryⓘ | 26 Feb 2014 |
| Problem typeⓘ | MBQCP |
| #Variablesⓘ | 562 |
| #Binary Variablesⓘ | 561 |
| #Integer Variablesⓘ | 0 |
| #Nonlinear Variablesⓘ | 561 |
| #Nonlinear Binary Variablesⓘ | 561 |
| #Nonlinear Integer Variablesⓘ | 0 |
| Objective Senseⓘ | max |
| Objective typeⓘ | linear |
| Objective curvatureⓘ | linear |
| #Nonzeros in Objectiveⓘ | 1 |
| #Nonlinear Nonzeros in Objectiveⓘ | 0 |
| #Constraintsⓘ | 1 |
| #Linear Constraintsⓘ | 0 |
| #Quadratic Constraintsⓘ | 1 |
| #Polynomial Constraintsⓘ | 0 |
| #Signomial Constraintsⓘ | 0 |
| #General Nonlinear Constraintsⓘ | 0 |
| Operands in Gen. Nonlin. Functionsⓘ | |
| Constraints curvatureⓘ | indefinite |
| #Nonzeros in Jacobianⓘ | 562 |
| #Nonlinear Nonzeros in Jacobianⓘ | 561 |
| #Nonzeros in (Upper-Left) Hessian of Lagrangianⓘ | 2176 |
| #Nonzeros in Diagonal of Hessian of Lagrangianⓘ | 0 |
| #Blocks in Hessian of Lagrangianⓘ | 1 |
| Minimal blocksize in Hessian of Lagrangianⓘ | 561 |
| Maximal blocksize in Hessian of Lagrangianⓘ | 561 |
| Average blocksize in Hessian of Lagrangianⓘ | 561.0 |
| #Semicontinuitiesⓘ | 0 |
| #Nonlinear Semicontinuitiesⓘ | 0 |
| #SOS type 1ⓘ | 0 |
| #SOS type 2ⓘ | 0 |
| Minimal coefficientⓘ | 1.0000e+00 |
| Maximal coefficientⓘ | 4.0000e+00 |
| Infeasibility of initial pointⓘ | 0 |
| Sparsity Jacobianⓘ |  |
| Sparsity Hessian of Lagrangianⓘ |  |
$offlisting
*
* Equation counts
* Total E G L N X C B
* 1 0 0 1 0 0 0 0
*
* Variable counts
* x b i s1s s2s sc si
* Total cont binary integer sos1 sos2 scont sint
* 562 1 561 0 0 0 0 0
* FX 0
*
* Nonzero counts
* Total const NL DLL
* 562 1 561 0
*
* Solve m using MINLP maximizing objvar;
Variables b1,b2,b3,b4,b5,b6,b7,b8,b9,b10,b11,b12,b13,b14,b15,b16,b17,b18,b19
,b20,b21,b22,b23,b24,b25,b26,b27,b28,b29,b30,b31,b32,b33,b34,b35,b36
,b37,b38,b39,b40,b41,b42,b43,b44,b45,b46,b47,b48,b49,b50,b51,b52,b53
,b54,b55,b56,b57,b58,b59,b60,b61,b62,b63,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,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,objvar;
Binary Variables b1,b2,b3,b4,b5,b6,b7,b8,b9,b10,b11,b12,b13,b14,b15,b16,b17
,b18,b19,b20,b21,b22,b23,b24,b25,b26,b27,b28,b29,b30,b31,b32,b33,b34
,b35,b36,b37,b38,b39,b40,b41,b42,b43,b44,b45,b46,b47,b48,b49,b50,b51
,b52,b53,b54,b55,b56,b57,b58,b59,b60,b61,b62,b63,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,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;
Equations e1;
e1.. (-2*b1*b227) - 2*b1 + 2*b227 + 2*b1*b265 - 2*b265 + 2*b1*b360 + 2*b1*b373
- 2*b2*b38 + 2*b2 + 2*b38 - 2*b2*b314 - 2*b314 - 2*b2*b361 + 2*b2*b419 +
2*b3*b362 - 2*b3 + 2*b3*b406 - 2*b4*b32 + 2*b4 + 2*b32 - 2*b4*b274 - 2*
b274 - 2*b4*b358 + 2*b4*b429 + 2*b5*b65 - 2*b5 - 2*b65 + 2*b5*b371 - 2*b5*
b409 + 2*b5*b410 + 2*b6*b271 - 2*b6 - 2*b271 + 2*b6*b359 + 2*b7*b66 - 2*b7
- 2*b66 + 2*b7*b366 - 2*b7*b415 + 2*b7*b416 + 2*b8*b62 - 2*b8 - 2*b62 + 2
*b8*b311 - 2*b311 + 2*b9*b100 - 2*b9 - 2*b100 + 2*b9*b361 - 2*b9*b396 + 2*
b9*b397 + 2*b10*b85 - 2*b10 - 2*b85 + 2*b10*b367 + 2*b10*b379 - 2*b10*b423
+ 2*b11*b48 - 2*b11 - 2*b48 + 2*b11*b362 + 2*b12*b106 - 2*b12 - 2*b106 -
2*b12*b245 + 2*b245 + 2*b12*b371 + 2*b12*b372 + 2*b13*b184 - 2*b13 - 2*
b184 - 2*b13*b247 + 2*b247 + 2*b13*b288 - 4*b288 + 2*b13*b402 + 2*b14*b124
- 2*b14 - 2*b124 - 2*b14*b285 + 2*b285 + 2*b14*b366 + 2*b14*b380 + 2*b15*
b154 - 2*b15 - 2*b154 - 2*b15*b287 + 4*b287 + 2*b15*b331 - 4*b331 + 2*b15*
b334 + 2*b334 + 2*b16*b89 - 2*b16 - 2*b89 - 2*b16*b338 + 2*b338 + 2*b16*
b446 + 2*b16*b447 + 2*b17*b25 - 2*b17 - 2*b25 + 2*b17*b268 - 4*b268 + 2*
b18*b109 - 2*b18 - 4*b109 - 2*b18*b456 + 2*b18*b457 + 2*b18*b458 + 2*b19*
b243 - 2*b19 - 2*b243 + 2*b19*b327 - 2*b327 + 2*b19*b415 - 2*b19*b453 + 2*
b20*b71 - 2*b20 - 2*b71 + 2*b20*b129 - 4*b129 + 2*b20*b158 - 2*b158 - 2*
b20*b463 + 2*b21*b36 - 2*b21 - 2*b36 + 2*b21*b465 - 2*b22*b242 - 2*b22 + 2
*b242 + 2*b22*b284 - 4*b284 + 2*b22*b285 + 2*b22*b409 + 2*b23*b89 - 2*b23
+ 2*b23*b159 - 4*b159 + 2*b23*b186 - 4*b186 - 2*b23*b469 - 2*b24*b71 - 2*
b24 + 2*b24*b73 - 4*b73 + 2*b24*b159 + 2*b24*b470 + 2*b25*b26 - 2*b26 - 2*
b25*b59 - 2*b59 + 2*b25*b113 - 4*b113 + 2*b26*b46 - 2*b46 + 2*b27*b245 - 2
*b27 - 2*b27*b283 + 2*b283 + 2*b27*b326 - 4*b326 + 2*b27*b400 + 2*b28*b109
- 2*b28 + 2*b28*b187 - 4*b187 + 2*b28*b220 - 4*b220 - 2*b28*b476 + 2*b29*
b43 - 2*b29 - 2*b43 + 2*b29*b91 - 4*b91 + 2*b29*b187 - 2*b29*b458 + 2*b30*
b31 - 2*b30 - 2*b31 - 2*b30*b45 - 2*b45 + 2*b30*b139 - 4*b139 + 2*b30*b478
+ 2*b31*b60 - 4*b60 + 2*b32*b63 + 2*b63 - 2*b32*b118 + 4*b118 - 2*b32*
b316 - 2*b316 + 2*b33*b129 - 4*b33 + 2*b33*b221 - 4*b221 + 2*b33*b257 - 4*
b257 + 2*b33*b476 + 2*b34*b55 - 2*b34 - 4*b55 + 2*b34*b111 - 4*b111 + 2*
b34*b221 - 2*b34*b447 - 2*b35*b36 - 2*b35 + 2*b35*b58 - 2*b58 + 2*b35*b77
- 4*b77 + 2*b35*b493 + 2*b36*b37 - 2*b37 + 2*b36*b167 - 4*b167 + 2*b37*
b77 - 2*b38*b145 + 4*b145 - 2*b38*b276 - 2*b276 + 2*b38*b387 + 2*b39*b40
- 2*b39 - 2*b40 + 2*b39*b67 - 2*b67 + 2*b39*b153 - 4*b153 - 2*b39*b411 +
2*b40*b68 - 2*b68 + 2*b40*b444 - 2*b40*b512 + 2*b41*b159 - 4*b41 + 2*b41*
b258 - 2*b258 + 2*b41*b297 - 4*b297 + 2*b41*b469 + 2*b42*b73 - 4*b42 + 2*
b42*b131 - 4*b131 + 2*b42*b258 + 2*b42*b447 + 2*b43*b301 - 4*b301 + 2*b43*
b459 - 2*b43*b477 + 2*b44*b45 - 2*b44 - 2*b44*b57 + 2*b57 + 2*b44*b495 + 2
*b44*b503 + 2*b45*b75 - 4*b75 + 2*b45*b95 - 4*b95 + 2*b46*b47 - 2*b47 + 2*
b46*b351 - 2*b351 - 2*b46*b495 + 2*b47*b95 + 2*b48*b361 + 2*b48*b460 - 2*
b48*b516 + 2*b49*b398 - 2*b49 + 2*b49*b419 + 2*b49*b511 - 2*b49*b518 + 2*
b50*b52 - 4*b50 - 4*b52 + 2*b50*b401 + 2*b50*b418 + 2*b50*b506 + 2*b51*b88
+ 2*b51 - 4*b88 - 2*b51*b294 + 2*b294 - 2*b51*b296 + 2*b296 - 2*b51*b354
+ 2*b52*b296 + 2*b52*b354 + 2*b52*b444 + 2*b53*b187 - 4*b53 + 2*b53*b299
- 2*b299 + 2*b53*b339 - 4*b339 + 2*b53*b463 + 2*b54*b91 - 4*b54 + 2*b54*
b161 - 4*b161 + 2*b54*b299 + 2*b54*b458 + 2*b55*b132 - 4*b132 + 2*b55*b448
+ 2*b55*b471 - 2*b56*b57 - 2*b56 + 2*b56*b355 + 2*b56*b360 + 2*b56*b472
+ 2*b57*b93 - 4*b93 - 2*b57*b520 + 2*b58*b59 + 2*b58*b136 - 2*b136 - 2*
b58*b508 + 2*b59*b93 + 2*b59*b114 - 4*b114 + 2*b60*b61 - 2*b61 + 2*b60*
b308 - 2*b308 + 2*b60*b495 + 2*b61*b114 + 2*b62*b358 + 2*b62*b449 - 2*b62*
b521 - 2*b63*b317 + 2*b317 - 2*b63*b375 - 2*b63*b504 + 2*b64*b203 - 4*b64
- 4*b203 + 2*b64*b408 + 2*b64*b429 + 2*b64*b504 + 2*b65*b123 - 4*b123 + 2
*b65*b489 - 2*b65*b525 + 2*b66*b500 - 2*b66*b524 + 2*b66*b525 + 2*b67*b69
- 4*b69 + 2*b67*b154 - 2*b67*b185 + 4*b185 + 2*b68*b392 + 2*b68*b412 - 2*
b68*b513 + 2*b69*b425 + 2*b69*b502 + 2*b69*b513 + 2*b70*b221 - 2*b70 + 2*
b70*b341 - 2*b341 - 2*b70*b354 + 2*b70*b456 + 2*b71*b72 - 4*b72 + 2*b71*
b435 + 2*b72*b111 + 2*b72*b190 - 4*b190 + 2*b72*b341 + 2*b73*b437 + 2*b73*
b477 + 2*b74*b112 + 2*b74 - 4*b112 - 2*b74*b405 - 2*b74*b493 - 2*b74*b529
+ 2*b75*b76 - 2*b76 + 2*b75*b165 - 2*b165 + 2*b75*b508 + 2*b76*b112 + 2*
b76*b140 - 2*b140 - 2*b76*b465 + 2*b77*b78 - 2*b78 + 2*b77*b266 - 4*b266
+ 2*b78*b140 + 2*b79*b117 - 2*b79 - 2*b117 - 2*b79*b143 - 2*b143 + 2*b79*
b235 - 4*b235 + 2*b79*b272 - 2*b272 - 2*b80*b386 + 2*b80 + 2*b80*b397 - 2*
b80*b497 - 2*b80*b498 + 2*b81*b413 - 4*b81 + 2*b81*b439 + 2*b81*b498 + 2*
b81*b518 + 2*b82*b104 - 2*b82 - 2*b104 + 2*b82*b147 - 4*b147 + 2*b82*b369
- 2*b82*b461 + 2*b83*b85 - 4*b83 + 2*b83*b368 + 2*b83*b391 + 2*b83*b501
+ 2*b84*b105 - 2*b84 - 4*b105 - 2*b84*b150 - 2*b150 + 2*b84*b399 + 2*b84*
b480 + 2*b85*b150 - 2*b85*b532 + 2*b86*b150 - 4*b86 + 2*b86*b152 - 2*b152
+ 2*b86*b247 + 2*b86*b390 + 2*b87*b88 - 2*b87 + 2*b87*b126 - 2*b126 - 2*
b87*b218 + 4*b218 + 2*b87*b402 + 2*b88*b492 + 2*b88*b507 + 2*b89*b90 - 2*
b90 - 2*b89*b471 + 2*b90*b131 + 2*b90*b223 - 4*b223 - 2*b90*b342 - 2*b342
+ 2*b91*b428 + 2*b91*b472 + 2*b92*b132 - 2*b92 + 2*b92*b227 + 2*b92*b346
- 4*b346 - 2*b92*b494 + 2*b93*b94 - 4*b94 + 2*b93*b195 - 2*b195 + 2*b94*
b137 - 4*b137 + 2*b94*b168 - 2*b168 + 2*b94*b465 + 2*b95*b96 - 2*b96 + 2*
b95*b309 - 4*b309 + 2*b96*b168 + 2*b97*b98 - 2*b97 - 2*b98 + 2*b97*b394 +
2*b98*b170 - 2*b170 + 2*b98*b200 - 2*b200 - 2*b98*b516 - 2*b99*b116 - 2*
b99 - 2*b116 + 2*b99*b275 - 4*b275 + 2*b99*b312 - 2*b312 + 2*b99*b509 + 2*
b100*b102 - 4*b102 - 2*b100*b144 - 2*b144 + 2*b100*b450 - 2*b101*b397 + 4*
b101 - 2*b101*b398 - 2*b101*b486 - 2*b101*b487 + 2*b102*b420 + 2*b102*b487
+ 2*b102*b510 + 2*b103*b175 - 2*b103 - 4*b175 + 2*b103*b364 - 2*b103*b466
+ 2*b103*b467 - 2*b104*b242 + 2*b104*b363 + 2*b104*b414 + 2*b105*b106 + 2
*b105*b376 + 2*b105*b490 + 2*b106*b179 - 2*b179 - 2*b106*b536 - 2*b107*
b108 + 2*b107 + 2*b108 - 2*b107*b381 + 2*b107*b393 - 2*b107*b502 + 2*b108*
b446 - 2*b108*b463 - 2*b108*b538 + 2*b109*b110 - 2*b110 + 2*b109*b301 + 2*
b110*b161 + 2*b110*b260 - 4*b260 - 2*b110*b300 - 2*b300 + 2*b111*b162 - 2*
b162 + 2*b111*b464 + 2*b112*b113 + 2*b112*b228 - 2*b228 + 2*b113*b166 - 4*
b166 + 2*b113*b197 - 2*b197 + 2*b114*b115 - 2*b115 + 2*b114*b352 - 4*b352
+ 2*b115*b197 + 2*b116*b198 - 2*b198 + 2*b116*b233 - 2*b233 + 2*b116*b530
+ 2*b117*b203 - 2*b117*b317 + 2*b117*b485 - 2*b118*b119 + 2*b119 - 2*b118
*b204 - 2*b204 - 2*b118*b408 + 2*b119*b120 - 2*b120 - 2*b119*b461 - 2*b119
*b540 - 2*b120*b375 + 2*b120*b451 + 2*b120*b535 + 2*b121*b122 - 4*b121 - 4
*b122 + 2*b121*b208 - 4*b208 + 2*b121*b466 + 2*b121*b474 + 2*b122*b368 + 2
*b122*b453 + 2*b122*b535 + 2*b123*b124 + 2*b123*b388 + 2*b123*b481 + 2*
b124*b210 - 2*b210 - 2*b124*b244 + 2*b244 + 2*b125*b181 - 2*b125 + 2*b181
+ 2*b125*b210 - 2*b125*b330 + 2*b330 + 2*b125*b525 + 2*b126*b183 - 2*b183
- 2*b126*b292 + 2*b292 + 2*b126*b434 - 2*b127*b128 + 4*b127 + 2*b128 - 2*
b127*b392 - 2*b127*b393 - 2*b127*b492 + 2*b128*b457 - 2*b128*b469 - 2*b128
*b542 + 2*b129*b130 - 2*b130 + 2*b129*b471 + 2*b130*b190 - 2*b130*b259 - 2
*b259 + 2*b130*b303 - 4*b303 + 2*b131*b133 - 4*b133 + 2*b131*b459 + 2*b132
*b135 - 4*b135 + 2*b132*b304 - 4*b304 + 2*b133*b135 + 2*b133*b262 + 2*b262
+ 2*b133*b303 - 2*b134*b136 + 2*b134 + 2*b134*b261 - 2*b261 - 2*b134*b357
- 2*b134*b472 + 2*b135*b136 + 2*b135*b357 + 2*b136*b196 - 4*b196 + 2*b137
*b139 + 2*b137*b263 - 2*b263 + 2*b137*b494 - 2*b138*b168 + 2*b138 + 2*b138
*b230 - 4*b230 - 2*b138*b350 - 2*b350 - 2*b138*b356 + 2*b139*b196 + 2*b139
*b230 + 2*b140*b141 - 2*b141 - 2*b140*b373 + 2*b141*b230 + 2*b142*b143 - 2
*b142 + 2*b142*b522 + 2*b143*b231 - 2*b231 + 2*b143*b273 - 2*b273 + 2*b144
*b273 + 2*b144*b497 + 2*b144*b521 - 2*b145*b146 + 2*b146 - 2*b145*b237 - 2
*b237 - 2*b145*b413 + 2*b146*b147 - 2*b146*b466 - 2*b146*b543 + 2*b147*
b386 + 2*b147*b531 + 2*b148*b149 - 4*b148 - 4*b149 + 2*b148*b240 - 4*b240
+ 2*b148*b461 + 2*b148*b479 + 2*b149*b376 + 2*b149*b443 + 2*b149*b531 + 2
*b150*b151 - 2*b151 + 2*b151*b433 - 2*b151*b482 + 2*b151*b544 + 2*b152*
b153 - 2*b152*b211 - 2*b211 + 2*b152*b249 - 2*b249 + 2*b153*b155 - 2*b155
+ 2*b153*b433 + 2*b154*b214 - 2*b214 - 2*b154*b253 + 2*b253 + 2*b155*b253
+ 2*b155*b333 - 2*b333 - 2*b155*b506 - 2*b156*b157 + 4*b156 + 2*b157 - 2*
b156*b401 - 2*b156*b403 - 2*b156*b483 + 2*b157*b158 - 2*b157*b476 - 2*b157
*b545 - 2*b158*b393 + 2*b158*b546 + 2*b159*b160 - 2*b160 + 2*b160*b223 + 2
*b160*b345 - 4*b345 - 2*b160*b547 + 2*b161*b163 - 4*b163 + 2*b161*b448 + 2
*b162*b260 + 2*b162*b427 - 2*b162*b539 + 2*b163*b226 + 2*b226 + 2*b163*
b345 + 2*b163*b539 - 2*b164*b165 + 2*b164 + 2*b164*b225 - 4*b225 - 2*b164*
b383 - 2*b164*b464 + 2*b165*b229 - 2*b229 + 2*b165*b539 + 2*b166*b167 + 2*
b166*b306 - 2*b306 + 2*b166*b503 + 2*b167*b229 + 2*b167*b267 - 4*b267 + 2*
b168*b169 - 2*b169 + 2*b169*b267 + 2*b170*b171 - 2*b171 + 2*b171*b270 - 2*
b270 + 2*b171*b313 - 2*b313 - 2*b171*b496 + 2*b172*b173 - 2*b172 - 2*b173
+ 2*b172*b235 - 2*b172*b359 + 2*b172*b522 + 2*b173*b313 - 2*b173*b439 + 2
*b173*b486 - 2*b174*b277 + 4*b174 - 2*b277 - 2*b174*b419 - 2*b174*b420 - 2
*b174*b473 + 2*b175*b398 + 2*b175*b473 + 2*b175*b523 + 2*b176*b177 - 4*
b176 - 4*b177 + 2*b176*b280 - 4*b280 + 2*b176*b452 + 2*b176*b488 + 2*b177*
b178 - 2*b178 + 2*b177*b388 + 2*b177*b523 - 2*b178*b432 + 2*b178*b479 + 2*
b178*b549 + 2*b179*b180 - 2*b180 - 2*b179*b391 + 2*b179*b526 + 2*b180*b182
- 2*b182 - 2*b180*b491 + 2*b180*b550 - 2*b181*b366 - 2*b181*b417 - 2*b181
*b541 - 2*b182*b379 + 2*b182*b424 + 2*b182*b541 + 2*b183*b378 + 2*b183*
b482 - 2*b183*b512 - 2*b184*b217 + 2*b217 + 2*b184*b249 + 2*b184*b401 - 2*
b185*b292 - 2*b185*b412 - 2*b185*b484 + 2*b186*b298 - 2*b298 + 2*b186*b393
+ 2*b186*b484 + 2*b187*b189 - 4*b189 + 2*b188*b189 - 4*b188 + 2*b188*b298
+ 2*b188*b301 + 2*b188*b426 + 2*b189*b191 - 2*b191 + 2*b189*b260 + 2*b190
*b192 - 4*b192 + 2*b190*b437 + 2*b191*b192 + 2*b191*b302 - 4*b302 - 2*b191
*b355 + 2*b192*b193 + 2*b193 + 2*b192*b534 - 2*b193*b195 - 2*b193*b227 - 2
*b193*b459 - 2*b194*b226 + 2*b194 - 2*b194*b264 - 2*b264 - 2*b194*b356 + 2
*b194*b405 + 2*b195*b264 + 2*b195*b534 + 2*b196*b348 - 4*b348 + 2*b196*
b351 - 2*b197*b265 + 2*b197*b553 + 2*b198*b199 - 2*b199 + 2*b199*b310 - 2*
b310 + 2*b199*b396 - 2*b199*b485 + 2*b200*b202 - 2*b202 + 2*b200*b275 - 2*
b200*b362 + 2*b201*b203 - 4*b201 + 2*b201*b204 + 2*b201*b496 + 2*b201*b521
+ 2*b202*b204 + 2*b202*b396 - 2*b202*b429 + 2*b203*b205 - 4*b205 + 2*b204
*b205 + 2*b205*b206 - 2*b206 + 2*b205*b375 + 2*b206*b208 - 2*b206*b319 + 2
*b319 + 2*b206*b461 - 2*b207*b323 + 2*b207 + 2*b323 - 2*b207*b413 - 2*b207
*b414 + 2*b207*b511 + 2*b208*b323 + 2*b208*b408 + 2*b209*b244 - 2*b209 + 2
*b209*b442 + 2*b209*b488 - 2*b209*b555 + 2*b210*b211 - 2*b210*b400 + 2*
b211*b213 - 2*b213 + 2*b211*b556 - 2*b212*b367 + 2*b212 - 2*b212*b411 + 2*
b212*b526 - 2*b212*b537 - 2*b213*b416 + 2*b213*b417 + 2*b213*b537 - 2*b214
*b216 - 2*b216 + 2*b214*b370 + 2*b214*b491 + 2*b215*b289 - 2*b215 + 2*b289
+ 2*b215*b392 + 2*b215*b411 - 2*b215*b455 + 2*b216*b455 + 2*b216*b506 + 2
*b216*b537 - 2*b217*b254 + 2*b254 + 2*b217*b512 - 2*b217*b552 - 2*b218*
b219 - 2*b219 - 2*b218*b253 - 2*b218*b418 + 2*b219*b220 + 2*b219*b469 + 2*
b219*b552 + 2*b220*b340 - 2*b340 + 2*b220*b403 + 2*b221*b222 - 4*b222 + 2*
b222*b224 - 4*b224 + 2*b222*b303 + 2*b222*b547 + 2*b223*b225 + 2*b223*b428
+ 2*b224*b225 + 2*b224*b344 - 4*b344 + 2*b224*b355 + 2*b225*b529 - 2*b226
*b228 - 2*b226*b448 - 2*b227*b307 - 2*b307 + 2*b228*b307 + 2*b228*b529 + 2
*b229*b308 - 2*b229*b360 + 2*b230*b558 + 2*b231*b232 - 2*b232 + 2*b232*
b234 - 2*b234 - 2*b232*b460 + 2*b232*b496 + 2*b233*b236 - 2*b236 - 2*b233*
b311 + 2*b233*b315 - 4*b315 + 2*b234*b236 - 2*b234*b385 + 2*b234*b406 + 2*
b235*b237 + 2*b235*b518 + 2*b236*b237 - 2*b236*b419 + 2*b237*b548 + 2*b238
*b240 - 2*b238 - 2*b238*b450 + 2*b238*b452 + 2*b238*b548 - 2*b239*b281 + 4
*b239 + 2*b281 - 2*b239*b420 - 2*b239*b421 - 2*b239*b511 + 2*b240*b281 + 2
*b240*b413 + 2*b241*b243 + 2*b241 - 2*b241*b414 - 2*b241*b499 - 2*b241*
b501 + 2*b242*b364 - 2*b242*b536 + 2*b243*b536 - 2*b243*b559 - 2*b244*b453
- 2*b244*b557 - 2*b245*b432 - 2*b245*b468 + 2*b246*b248 - 4*b246 - 2*b248
+ 2*b246*b468 + 2*b246*b491 + 2*b246*b544 - 2*b247*b250 - 2*b250 - 2*b247
*b372 + 2*b248*b250 - 2*b248*b410 + 2*b248*b411 - 2*b249*b252 - 2*b252 + 2
*b249*b365 + 2*b250*b252 + 2*b250*b533 + 2*b251*b332 - 2*b251 + 2*b332 + 2
*b251*b381 + 2*b251*b417 - 2*b251*b445 + 2*b252*b445 + 2*b252*b502 - 2*
b253*b545 - 2*b254*b255 - 2*b255 + 2*b254*b336 - 2*b336 - 2*b254*b425 + 2*
b255*b257 + 2*b255*b463 + 2*b255*b545 - 2*b256*b425 + 2*b256 - 2*b256*b426
+ 2*b256*b513 - 2*b256*b528 + 2*b257*b412 + 2*b257*b528 + 2*b258*b343 - 2
*b343 - 2*b258*b514 + 2*b259*b343 + 2*b259*b528 + 2*b259*b546 + 2*b260*
b261 + 2*b261*b520 - 2*b261*b560 - 2*b262*b263 - 2*b262*b360 - 2*b262*b437
+ 2*b263*b349 - 2*b349 + 2*b263*b520 + 2*b264*b266 + 2*b264*b351 + 2*b265
*b268 + 2*b265*b356 + 2*b266*b268 + 2*b266*b349 + 2*b267*b269 - 2*b269 + 2
*b267*b373 + 2*b268*b269 + 2*b270*b272 - 2*b271*b273 + 2*b271*b274 + 2*
b271*b407 + 2*b272*b274 - 2*b272*b449 + 2*b273*b276 + 2*b274*b276 + 2*b275
*b277 + 2*b275*b510 + 2*b276*b277 + 2*b277*b543 + 2*b278*b280 - 4*b278 + 2
*b278*b321 + 2*b321 + 2*b278*b450 + 2*b278*b543 + 2*b279*b320 + 2*b279 - 4
*b320 - 2*b279*b430 - 2*b279*b504 - 2*b279*b505 + 2*b280*b420 + 2*b280*
b505 - 2*b281*b324 - 2*b324 - 2*b281*b559 + 2*b282*b284 - 2*b282 + 2*b282*
b421 + 2*b282*b501 - 2*b282*b505 + 2*b283*b369 - 2*b283*b467 - 2*b283*b532
+ 2*b284*b532 + 2*b284*b559 - 2*b285*b442 - 2*b285*b462 + 2*b286*b288 - 4
*b286 + 2*b286*b462 + 2*b286*b482 + 2*b286*b550 - 2*b287*b290 - 2*b290 - 2
*b287*b380 - 2*b287*b526 + 2*b288*b290 + 2*b288*b410 - 2*b289*b291 - 2*
b291 - 2*b289*b365 - 2*b289*b491 + 2*b290*b291 + 2*b290*b527 + 2*b291*b293
- 2*b293 + 2*b291*b492 + 2*b292*b527 - 2*b292*b542 + 2*b293*b294 - 2*b293
*b382 + 2*b293*b542 - 2*b294*b295 - 2*b295 - 2*b294*b455 + 2*b295*b297 + 2
*b295*b456 + 2*b295*b542 - 2*b296*b435 - 2*b296*b519 + 2*b297*b418 + 2*
b297*b519 + 2*b298*b300 - 2*b298*b446 + 2*b299*b302 - 2*b299*b519 + 2*b300
*b302 + 2*b300*b519 + 2*b301*b304 + 2*b302*b304 + 2*b303*b305 - 4*b305 + 2
*b304*b305 + 2*b305*b384 + 2*b305*b515 + 2*b306*b374 - 2*b306*b427 + 2*
b306*b515 + 2*b307*b308 + 2*b307*b309 - 2*b308*b353 + 2*b353 + 2*b309*b353
+ 2*b309*b374 + 2*b310*b312 + 2*b311*b314 + 2*b311*b395 + 2*b312*b314 - 2
*b312*b438 + 2*b313*b316 - 2*b313*b406 + 2*b314*b316 + 2*b315*b317 + 2*
b315*b318 - 2*b318 + 2*b315*b516 + 2*b316*b318 - 2*b317*b540 - 2*b318*b319
+ 2*b318*b540 + 2*b319*b320 - 2*b319*b429 + 2*b320*b322 - 4*b322 + 2*b320
*b540 - 2*b321*b440 - 2*b321*b498 - 2*b321*b499 + 2*b322*b375 + 2*b322*
b414 + 2*b322*b499 - 2*b323*b389 - 2*b323*b555 + 2*b324*b326 + 2*b324*b430
+ 2*b324*b490 + 2*b325*b377 + 2*b325 - 2*b325*b474 - 2*b325*b475 - 2*b325
*b524 + 2*b326*b524 + 2*b326*b555 + 2*b327*b390 + 2*b327*b432 - 2*b327*
b454 + 2*b328*b454 - 2*b328 + 2*b328*b524 - 2*b328*b544 + 2*b328*b549 + 2*
b329*b330 - 4*b329 + 2*b329*b331 + 2*b329*b454 + 2*b329*b556 - 2*b330*b333
- 2*b330*b434 + 2*b331*b333 + 2*b331*b416 - 2*b332*b335 - 2*b335 - 2*b332
*b370 - 2*b332*b482 + 2*b333*b335 - 2*b334*b336 - 2*b334*b392 - 2*b334*
b424 + 2*b335*b336 + 2*b335*b483 + 2*b336*b538 + 2*b337*b338 - 2*b337 + 2*
b337*b339 - 2*b337*b444 + 2*b337*b538 - 2*b338*b513 - 2*b338*b514 + 2*b339
*b425 + 2*b339*b514 + 2*b340*b342 - 2*b340*b436 + 2*b340*b547 + 2*b341*
b344 - 2*b341*b528 + 2*b342*b344 + 2*b342*b514 + 2*b343*b345 - 2*b343*b560
+ 2*b344*b560 + 2*b345*b346 + 2*b346*b347 - 2*b347 + 2*b346*b560 + 2*b347
*b348 - 2*b347*b464 + 2*b347*b508 + 2*b348*b350 + 2*b348*b427 + 2*b349*
b352 - 2*b349*b383 + 2*b350*b352 + 2*b350*b383 - 2*b351*b554 + 2*b352*b554
- 2*b353*b558 - 2*b353*b561 + 2*b354*b426 - 2*b355*b405 + 2*b356*b357 - 2
*b357*b374 - 2*b358*b359 + 2*b358*b385 + 2*b359*b438 - 2*b361*b362 - 2*
b363*b364 + 2*b363*b432 - 2*b363*b500 - 2*b364*b535 - 2*b365*b366 + 2*b365
*b367 - 2*b367*b454 - 2*b368*b369 - 2*b368*b489 - 2*b369*b531 - 2*b370*
b371 + 2*b370*b372 - 2*b371*b433 - 2*b372*b462 - 2*b373*b374 - 2*b376*b377
- 2*b376*b480 + 2*b377*b451 - 2*b377*b523 - 2*b378*b379 + 2*b378*b380 - 2
*b378*b434 + 2*b379*b399 - 2*b380*b468 - 2*b381*b382 + 2*b381*b404 + 2*
b382*b424 + 2*b382*b434 + 2*b383*b384 - 2*b384*b477 - 2*b384*b503 - 2*b385
*b397 + 2*b385*b439 + 2*b386*b387 - 2*b386*b441 - 2*b387*b510 - 2*b387*
b511 - 2*b388*b389 - 2*b388*b475 + 2*b389*b440 + 2*b389*b481 - 2*b390*b391
- 2*b390*b416 + 2*b391*b475 - 2*b394*b395 - 2*b394*b396 + 2*b394*b485 - 2
*b398*b431 - 2*b399*b400 - 2*b399*b410 + 2*b400*b500 - 2*b401*b402 - 2*
b402*b417 + 2*b403*b404 - 2*b403*b457 - 2*b404*b506 - 2*b404*b507 + 2*b405
*b477 - 2*b406*b407 - 2*b408*b422 + 2*b409*b489 - 2*b409*b544 - 2*b412*
b446 + 2*b415*b480 - 2*b415*b550 - 2*b418*b436 + 2*b421*b422 - 2*b421*b488
+ 2*b422*b504 - 2*b422*b523 + 2*b423*b442 + 2*b423*b475 - 2*b423*b556 - 2
*b424*b433 - 2*b426*b458 - 2*b427*b428 - 2*b428*b534 + 2*b430*b431 - 2*
b430*b479 + 2*b431*b498 - 2*b431*b531 + 2*b435*b436 - 2*b435*b447 + 2*b436
*b507 - 2*b437*b529 - 2*b439*b450 + 2*b440*b441 - 2*b440*b474 + 2*b441*
b487 - 2*b441*b535 - 2*b442*b443 + 2*b443*b474 - 2*b443*b549 - 2*b444*b445
+ 2*b445*b545 - 2*b448*b520 - 2*b451*b452 - 2*b451*b467 - 2*b452*b487 + 2
*b453*b467 + 2*b455*b552 - 2*b456*b507 - 2*b457*b546 - 2*b459*b515 + 2*
b462*b551 + 2*b464*b470 - 2*b465*b478 + 2*b466*b473 + 2*b468*b557 - 2*b470
*b471 - 2*b470*b472 - 2*b473*b548 + 2*b476*b484 - 2*b479*b481 - 2*b480*
b481 + 2*b483*b533 - 2*b483*b538 - 2*b484*b552 - 2*b485*b517 + 2*b486*b517
- 2*b486*b548 - 2*b488*b490 - 2*b489*b490 - 2*b492*b533 + 2*b493*b494 - 2
*b493*b495 - 2*b494*b534 - 2*b496*b509 + 2*b497*b509 - 2*b497*b543 + 2*
b499*b555 - 2*b500*b501 - 2*b502*b527 - 2*b503*b539 + 2*b505*b559 - 2*b508
*b515 - 2*b509*b510 + 2*b512*b541 + 2*b516*b517 - 2*b517*b518 - 2*b521*
b522 - 2*b522*b530 - 2*b525*b526 - 2*b527*b541 + 2*b532*b551 - 2*b533*b537
+ 2*b536*b557 - 2*b546*b547 - 2*b549*b551 - 2*b550*b551 - 2*b553*b554 + 2
*b554*b561 - 2*b556*b557 + objvar =L= 0;
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% maximizing objvar;
Last updated: 2024-12-17 Git hash: 8eaceb91