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Instance sporttournament40
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ⓘ | 857.71147210 (ANTIGONE) 769.00000000 (BARON) 930.00000000 (COUENNE) 875.68445140 (CPLEX) 756.00000000 (GUROBI) 854.00000000 (LINDO) 776.02396610 (SCIP) 804.75688850 (SHOT) 775.06332030 (XPRESS) |
| 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-40-4711 |
| Applicationⓘ | Sports Tournament |
| Added to libraryⓘ | 26 Feb 2014 |
| Problem typeⓘ | MBQCP |
| #Variablesⓘ | 781 |
| #Binary Variablesⓘ | 780 |
| #Integer Variablesⓘ | 0 |
| #Nonlinear Variablesⓘ | 780 |
| #Nonlinear Binary Variablesⓘ | 780 |
| #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ⓘ | 781 |
| #Nonlinear Nonzeros in Jacobianⓘ | 780 |
| #Nonzeros in (Upper-Left) Hessian of Lagrangianⓘ | 3040 |
| #Nonzeros in Diagonal of Hessian of Lagrangianⓘ | 0 |
| #Blocks in Hessian of Lagrangianⓘ | 1 |
| Minimal blocksize in Hessian of Lagrangianⓘ | 780 |
| Maximal blocksize in Hessian of Lagrangianⓘ | 780 |
| Average blocksize in Hessian of Lagrangianⓘ | 780.0 |
| #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
* 781 1 780 0 0 0 0 0
* FX 0
*
* Nonzero counts
* Total const NL DLL
* 781 1 780 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,b562,b563,b564,b565,b566,b567,b568,b569,b570,b571
,b572,b573,b574,b575,b576,b577,b578,b579,b580,b581,b582,b583,b584
,b585,b586,b587,b588,b589,b590,b591,b592,b593,b594,b595,b596,b597
,b598,b599,b600,b601,b602,b603,b604,b605,b606,b607,b608,b609,b610
,b611,b612,b613,b614,b615,b616,b617,b618,b619,b620,b621,b622,b623
,b624,b625,b626,b627,b628,b629,b630,b631,b632,b633,b634,b635,b636
,b637,b638,b639,b640,b641,b642,b643,b644,b645,b646,b647,b648,b649
,b650,b651,b652,b653,b654,b655,b656,b657,b658,b659,b660,b661,b662
,b663,b664,b665,b666,b667,b668,b669,b670,b671,b672,b673,b674,b675
,b676,b677,b678,b679,b680,b681,b682,b683,b684,b685,b686,b687,b688
,b689,b690,b691,b692,b693,b694,b695,b696,b697,b698,b699,b700,b701
,b702,b703,b704,b705,b706,b707,b708,b709,b710,b711,b712,b713,b714
,b715,b716,b717,b718,b719,b720,b721,b722,b723,b724,b725,b726,b727
,b728,b729,b730,b731,b732,b733,b734,b735,b736,b737,b738,b739,b740
,b741,b742,b743,b744,b745,b746,b747,b748,b749,b750,b751,b752,b753
,b754,b755,b756,b757,b758,b759,b760,b761,b762,b763,b764,b765,b766
,b767,b768,b769,b770,b771,b772,b773,b774,b775,b776,b777,b778,b779
,b780,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,b562,b563,b564,b565,b566,b567,b568,b569
,b570,b571,b572,b573,b574,b575,b576,b577,b578,b579,b580,b581,b582
,b583,b584,b585,b586,b587,b588,b589,b590,b591,b592,b593,b594,b595
,b596,b597,b598,b599,b600,b601,b602,b603,b604,b605,b606,b607,b608
,b609,b610,b611,b612,b613,b614,b615,b616,b617,b618,b619,b620,b621
,b622,b623,b624,b625,b626,b627,b628,b629,b630,b631,b632,b633,b634
,b635,b636,b637,b638,b639,b640,b641,b642,b643,b644,b645,b646,b647
,b648,b649,b650,b651,b652,b653,b654,b655,b656,b657,b658,b659,b660
,b661,b662,b663,b664,b665,b666,b667,b668,b669,b670,b671,b672,b673
,b674,b675,b676,b677,b678,b679,b680,b681,b682,b683,b684,b685,b686
,b687,b688,b689,b690,b691,b692,b693,b694,b695,b696,b697,b698,b699
,b700,b701,b702,b703,b704,b705,b706,b707,b708,b709,b710,b711,b712
,b713,b714,b715,b716,b717,b718,b719,b720,b721,b722,b723,b724,b725
,b726,b727,b728,b729,b730,b731,b732,b733,b734,b735,b736,b737,b738
,b739,b740,b741,b742,b743,b744,b745,b746,b747,b748,b749,b750,b751
,b752,b753,b754,b755,b756,b757,b758,b759,b760,b761,b762,b763,b764
,b765,b766,b767,b768,b769,b770,b771,b772,b773,b774,b775,b776,b777
,b778,b779,b780;
Equations e1;
e1.. 2*b1*b3 - 2*b1 - 4*b3 - 2*b1*b161 + 2*b161 + 2*b1*b162 - 4*b162 + 2*b1*
b484 + 2*b2*b369 - 2*b2 - 2*b369 - 2*b2*b471 + 2*b471 + 2*b2*b488 + 2*b2*
b501 + 2*b3*b492 + 2*b3*b493 + 2*b3*b511 + 2*b4*b23 - 2*b4 - 2*b23 + 2*b4*
b119 - 2*b119 + 2*b4*b524 - 2*b4*b551 + 2*b5*b103 - 2*b5 - 2*b103 + 2*b5*
b498 - 2*b5*b538 + 2*b5*b539 + 2*b6*b83 - 2*b6 - 2*b83 + 2*b6*b351 + 2*
b351 + 2*b6*b491 - 2*b6*b547 + 2*b7*b84 - 2*b7 - 2*b84 + 2*b7*b207 - 2*
b207 + 2*b7*b506 - 2*b7*b555 + 2*b8*b233 - 2*b8 - 2*b233 - 2*b8*b263 + 4*
b263 + 2*b8*b301 - 4*b301 + 2*b8*b533 + 2*b9*b104 - 2*b9 - 2*b104 + 2*b9*
b498 + 2*b9*b499 - 2*b9*b568 + 2*b10*b267 - 2*b10 - 2*b267 - 2*b10*b300 +
4*b300 + 2*b10*b338 - 4*b338 + 2*b10*b543 + 2*b11*b129 - 2*b11 - 2*b129 -
2*b11*b350 + 2*b350 + 2*b11*b491 + 2*b11*b507 - 2*b12*b279 - 2*b12 + 2*
b279 + 2*b12*b282 - 2*b282 + 2*b12*b400 - 2*b400 + 2*b12*b541 + 2*b13*b152
- 2*b13 - 2*b152 + 2*b13*b207 - 2*b13*b396 + 2*b396 + 2*b13*b519 + 2*b14*
b243 - 2*b14 - 2*b243 - 2*b14*b313 + 2*b313 + 2*b14*b450 - 4*b450 + 2*b14*
b453 + 2*b453 + 2*b15*b109 - 2*b15 - 2*b109 - 2*b15*b460 + 4*b460 + 2*b15*
b600 + 2*b15*b601 - 2*b16*b41 - 2*b16 + 2*b41 + 2*b16*b132 - 2*b132 + 2*
b16*b613 + 2*b16*b614 + 2*b17*b27 - 2*b17 - 2*b27 + 2*b17*b372 - 4*b372 -
2*b18*b69 - 2*b18 - 2*b69 + 2*b18*b310 - 2*b310 + 2*b18*b445 - 2*b445 + 2*
b18*b555 + 2*b19*b90 - 2*b19 - 2*b90 + 2*b19*b156 - 4*b156 - 2*b19*b623 +
2*b19*b624 + 2*b20*b276 - 2*b20 - 2*b276 + 2*b20*b396 + 2*b20*b547 - 2*b20
*b620 + 2*b21*b109 - 2*b21 + 2*b21*b185 - 4*b185 + 2*b21*b215 - 4*b215 - 2
*b21*b634 + 2*b22*b37 - 2*b22 - 2*b37 + 2*b22*b636 + 2*b23*b118 - 4*b118
+ 2*b23*b265 - 2*b265 - 2*b23*b380 - 2*b380 + 2*b24*b238 - 2*b24 - 2*b238
+ 2*b24*b350 + 2*b24*b538 - 2*b24*b631 + 2*b25*b132 - 2*b25 + 2*b25*b216
- 4*b216 + 2*b25*b247 - 4*b247 - 2*b25*b642 + 2*b26*b73 - 2*b26 - 4*b73
- 2*b26*b109 + 2*b26*b216 + 2*b26*b643 + 2*b27*b28 - 2*b28 - 2*b27*b94 -
2*b94 + 2*b27*b165 - 4*b165 + 2*b28*b46 - 2*b46 + 2*b29*b239 - 2*b29 - 2*
b239 + 2*b29*b529 + 2*b29*b568 - 2*b29*b640 + 2*b30*b156 - 2*b30 + 2*b30*
b248 - 4*b248 + 2*b30*b285 - 4*b285 - 2*b30*b649 + 2*b31*b44 - 2*b31 - 2*
b44 - 2*b31*b90 + 2*b31*b92 - 4*b92 + 2*b31*b248 + 2*b32*b33 - 2*b32 - 2*
b33 - 2*b32*b76 - 2*b76 + 2*b32*b192 - 4*b192 + 2*b32*b651 + 2*b33*b62 - 2
*b62 + 2*b34*b277 - 2*b34 - 2*b277 + 2*b34*b517 + 2*b34*b555 - 2*b34*b648
+ 2*b35*b185 - 4*b35 + 2*b35*b286 - 4*b286 + 2*b35*b322 - 4*b322 + 2*b35*
b649 + 2*b36*b59 - 2*b36 - 4*b59 + 2*b36*b111 - 4*b111 + 2*b36*b286 - 2*
b36*b614 + 2*b37*b38 - 2*b38 - 2*b37*b61 - 2*b61 + 2*b37*b223 - 4*b223 + 2
*b38*b77 - 4*b77 + 2*b39*b51 + 2*b39 + 2*b51 - 2*b39*b99 + 4*b99 - 2*b39*
b495 - 2*b39*b526 + 2*b40*b128 - 2*b40 - 2*b128 + 2*b40*b311 - 2*b311 + 2*
b40*b547 - 2*b40*b657 + 2*b41*b89 - 2*b89 - 2*b41*b155 + 2*b155 - 2*b41*
b478 + 2*b42*b216 - 4*b42 + 2*b42*b323 - 4*b323 + 2*b42*b361 - 4*b361 + 2*
b42*b642 + 2*b43*b73 - 2*b43 + 2*b43*b134 - 4*b134 + 2*b43*b323 - 2*b43*
b601 + 2*b44*b412 - 4*b412 + 2*b44*b625 - 2*b44*b650 - 2*b45*b46 - 2*b45
+ 2*b45*b75 - 4*b75 + 2*b45*b95 - 4*b95 + 2*b45*b673 + 2*b46*b47 - 2*b47
+ 2*b46*b256 - 4*b256 + 2*b47*b95 - 2*b48*b297 - 2*b48 + 2*b297 + 2*b48*
b376 - 4*b376 + 2*b48*b532 + 2*b48*b590 - 2*b49*b337 + 2*b49 + 4*b337 - 2*
b49*b481 + 2*b49*b513 - 2*b49*b627 + 2*b50*b52 + 2*b50 - 2*b52 - 2*b50*
b122 + 4*b122 - 2*b50*b489 - 2*b50*b535 - 2*b51*b496 - 2*b51*b692 - 2*b51*
b693 + 2*b52*b504 + 2*b52*b693 - 2*b52*b704 + 2*b53*b149 - 2*b53 - 4*b149
+ 2*b53*b479 + 2*b53*b537 - 2*b53*b620 + 2*b54*b103 - 4*b54 + 2*b54*b349
- 4*b349 + 2*b54*b538 + 2*b54*b657 + 2*b55*b56 - 2*b55 - 2*b56 + 2*b55*
b85 - 2*b85 + 2*b55*b210 - 4*b210 - 2*b55*b548 + 2*b56*b86 - 2*b86 + 2*b56
*b130 - 2*b130 - 2*b56*b705 + 2*b57*b248 - 4*b57 + 2*b57*b363 - 2*b363 + 2
*b57*b408 - 4*b408 + 2*b57*b634 + 2*b58*b92 - 4*b58 + 2*b58*b158 - 4*b158
+ 2*b58*b363 + 2*b58*b601 + 2*b59*b159 - 4*b159 + 2*b59*b615 + 2*b59*b644
+ 2*b60*b61 - 2*b60 + 2*b60*b676 - 2*b60*b684 + 2*b60*b685 + 2*b61*b93 -
4*b93 + 2*b61*b114 - 4*b114 + 2*b62*b63 - 2*b63 + 2*b62*b474 - 2*b474 - 2*
b62*b676 + 2*b63*b114 + 2*b64*b333 - 2*b64 - 4*b333 - 2*b64*b334 + 2*b334
+ 2*b64*b523 + 2*b64*b603 - 2*b65*b300 + 2*b65 - 2*b65*b485 + 2*b65*b503
- 2*b65*b618 + 2*b66*b68 + 2*b66 - 4*b68 - 2*b66*b145 + 4*b145 - 2*b66*
b270 - 2*b270 - 2*b66*b487 - 2*b67*b504 + 2*b67 + 2*b67*b514 - 2*b67*b680
- 2*b67*b681 + 2*b68*b271 - 4*b271 + 2*b68*b515 + 2*b68*b681 + 2*b69*b151
- 4*b151 + 2*b69*b309 - 2*b309 + 2*b69*b630 + 2*b70*b83 - 4*b70 + 2*b70*
b395 - 4*b395 + 2*b70*b529 + 2*b70*b648 + 2*b71*b286 - 4*b71 + 2*b71*b410
- 2*b410 + 2*b71*b461 - 4*b461 + 2*b71*b623 + 2*b72*b111 - 4*b72 + 2*b72*
b187 - 4*b187 + 2*b72*b410 + 2*b72*b614 + 2*b73*b602 + 2*b73*b650 + 2*b74*
b480 - 2*b74 + 2*b74*b492 + 2*b74*b650 - 2*b74*b675 + 2*b75*b76 + 2*b75*
b684 + 2*b75*b696 + 2*b76*b112 - 4*b112 + 2*b76*b137 - 4*b137 + 2*b77*b78
- 2*b78 + 2*b77*b421 - 2*b421 + 2*b77*b676 + 2*b78*b137 + 2*b79*b296 - 2*
b79 - 4*b296 - 2*b79*b377 + 2*b377 + 2*b79*b513 + 2*b79*b616 - 2*b80*b436
+ 4*b80 + 2*b436 - 2*b80*b514 - 2*b80*b515 - 2*b80*b669 + 2*b81*b527 - 4*
b81 + 2*b81*b553 + 2*b81*b669 + 2*b81*b704 + 2*b82*b84 - 4*b82 + 2*b82*
b444 - 4*b444 + 2*b82*b517 + 2*b82*b640 + 2*b83*b151 - 2*b83*b724 - 2*b84*
b723 + 2*b84*b724 + 2*b85*b87 - 4*b87 + 2*b85*b183 - 2*b183 - 2*b85*b358
+ 4*b358 + 2*b86*b88 - 4*b88 + 2*b86*b458 - 2*b458 - 2*b86*b599 + 2*b87*
b88 + 2*b87*b458 + 2*b87*b683 + 2*b88*b360 + 2*b360 + 2*b88*b477 + 2*b89*
b323 + 2*b89*b463 - 2*b463 - 2*b89*b477 + 2*b90*b91 - 4*b91 + 2*b90*b587
+ 2*b91*b134 + 2*b91*b218 - 4*b218 + 2*b91*b463 + 2*b92*b468 + 2*b468 + 2
*b92*b589 + 2*b93*b94 + 2*b93*b674 + 2*b93*b708 + 2*b94*b135 - 4*b135 + 2*
b94*b166 - 2*b166 + 2*b95*b96 - 2*b96 + 2*b95*b370 - 4*b370 + 2*b96*b166
+ 2*b97*b260 - 2*b97 - 4*b260 - 2*b97*b426 + 2*b426 + 2*b97*b503 + 2*b97*
b626 - 2*b98*b267 + 2*b98 - 2*b98*b269 - 2*b269 + 2*b98*b341 - 4*b341 - 2*
b98*b638 - 2*b99*b527 - 2*b99*b661 - 2*b99*b662 + 2*b100*b536 - 4*b100 + 2
*b100*b565 + 2*b100*b662 + 2*b100*b692 - 2*b101*b578 + 2*b101 + 2*b101*
b582 - 2*b101*b647 - 2*b101*b648 + 2*b102*b104 - 2*b102 + 2*b102*b128 - 2*
b102*b483 + 2*b102*b631 + 2*b103*b127 - 2*b127 - 2*b103*b181 - 2*b181 + 2*
b104*b181 - 2*b104*b733 + 2*b105*b181 - 4*b105 + 2*b105*b209 - 2*b209 + 2*
b105*b516 + 2*b105*b641 + 2*b106*b108 - 2*b106 - 4*b108 + 2*b106*b154 - 2*
b154 - 2*b106*b405 + 4*b405 + 2*b106*b541 + 2*b107*b540 - 2*b107 + 2*b107*
b585 + 2*b107*b694 - 2*b107*b715 + 2*b108*b478 + 2*b108*b672 + 2*b108*b715
+ 2*b109*b110 - 2*b110 + 2*b110*b158 + 2*b110*b251 - 4*b251 - 2*b110*b464
- 2*b464 + 2*b111*b573 + 2*b111*b635 + 2*b112*b113 - 2*b113 + 2*b112*b163
- 2*b163 + 2*b112*b675 + 2*b113*b164 - 4*b164 + 2*b113*b193 - 2*b193 - 2*
b113*b636 + 2*b114*b115 - 2*b115 + 2*b114*b422 - 4*b422 + 2*b115*b193 - 2*
b116*b117 - 2*b116 + 2*b117 + 2*b116*b227 - 4*b227 + 2*b116*b494 + 2*b116*
b637 + 2*b117*b118 - 2*b117*b486 - 2*b117*b737 + 2*b118*b197 + 2*b197 + 2*
b118*b687 + 2*b119*b121 - 2*b121 + 2*b119*b552 - 2*b119*b678 - 2*b120*b233
+ 2*b120 - 2*b120*b384 + 2*b384 + 2*b120*b386 - 4*b386 - 2*b120*b703 + 2*
b121*b386 - 2*b121*b495 + 2*b121*b713 - 2*b122*b536 - 2*b122*b654 - 2*b122
*b655 + 2*b123*b545 - 4*b123 + 2*b123*b577 + 2*b123*b655 + 2*b123*b680 + 2
*b124*b515 - 2*b124 + 2*b124*b608 + 2*b124*b662 - 2*b124*b732 + 2*b125*
b149 - 4*b125 + 2*b125*b527 + 2*b125*b655 + 2*b125*b732 + 2*b126*b348 + 2*
b126 - 2*b348 - 2*b126*b566 - 2*b126*b656 - 2*b126*b657 + 2*b127*b129 - 2*
b127*b479 + 2*b127*b620 - 2*b128*b206 - 2*b206 + 2*b128*b528 + 2*b129*b206
- 2*b129*b739 - 2*b130*b131 + 2*b131 + 2*b130*b530 + 2*b130*b570 - 2*b131
*b460 + 2*b131*b600 - 2*b131*b741 + 2*b132*b133 - 2*b133 - 2*b132*b644 + 2
*b133*b187 + 2*b133*b288 - 4*b288 - 2*b133*b411 - 2*b411 + 2*b134*b560 + 2
*b134*b625 + 2*b135*b136 - 4*b136 + 2*b135*b190 - 2*b190 + 2*b135*b685 + 2
*b136*b191 - 4*b191 + 2*b136*b224 - 2*b224 + 2*b136*b636 + 2*b137*b138 - 2
*b138 + 2*b137*b475 - 4*b475 + 2*b138*b224 - 2*b139*b140 + 2*b139 + 2*b140
+ 2*b139*b195 - 4*b195 - 2*b139*b494 - 2*b139*b637 - 2*b140*b482 + 2*b140
*b730 - 2*b140*b744 + 2*b141*b143 - 2*b141 - 2*b143 + 2*b141*b544 + 2*b141
*b564 - 2*b141*b667 - 2*b142*b199 + 2*b142 - 2*b199 - 2*b142*b432 + 2*b432
+ 2*b142*b434 - 4*b434 - 2*b142*b691 + 2*b143*b434 - 2*b143*b489 + 2*b143
*b702 + 2*b144*b271 - 2*b144 - 2*b144*b436 + 2*b144*b628 + 2*b144*b667 - 2
*b145*b146 + 2*b146 - 2*b145*b545 - 2*b145*b646 + 2*b146*b148 - 4*b148 - 2
*b146*b441 + 2*b441 - 2*b146*b746 + 2*b147*b504 - 2*b147 + 2*b147*b593 + 2
*b147*b669 - 2*b147*b722 + 2*b148*b179 - 4*b179 + 2*b148*b536 + 2*b148*
b722 + 2*b149*b150 - 2*b150 + 2*b149*b609 + 2*b150*b310 - 2*b150*b483 + 2*
b150*b722 + 2*b151*b152 + 2*b151*b483 + 2*b152*b240 - 2*b240 - 2*b152*b747
+ 2*b153*b240 - 2*b153 + 2*b153*b279 - 2*b153*b449 + 2*b449 + 2*b153*b724
+ 2*b154*b281 - 2*b281 - 2*b154*b403 + 2*b403 + 2*b154*b611 - 2*b155*b558
+ 2*b155*b613 - 2*b155*b749 + 2*b156*b157 - 2*b157 + 2*b156*b412 + 2*b157
*b218 + 2*b157*b326 - 4*b326 - 2*b157*b364 - 2*b364 + 2*b158*b160 - 4*b160
+ 2*b158*b615 + 2*b159*b162 + 2*b159*b415 - 4*b415 + 2*b159*b522 + 2*b160
*b162 + 2*b160*b326 + 2*b160*b559 - 2*b161*b163 + 2*b161*b366 - 2*b366 - 2
*b161*b635 + 2*b162*b163 + 2*b163*b222 - 4*b222 + 2*b164*b165 + 2*b164*
b221 - 2*b221 + 2*b164*b696 + 2*b165*b222 + 2*b165*b257 - 2*b257 + 2*b166*
b167 - 2*b167 - 2*b166*b511 + 2*b167*b257 + 2*b168*b169 - 2*b168 + 2*b169
+ 2*b168*b170 - 4*b170 + 2*b168*b652 - 2*b168*b750 - 2*b169*b503 - 2*b169
*b626 - 2*b169*b627 + 2*b170*b425 - 4*b425 + 2*b170*b627 + 2*b170*b687 - 2
*b171*b298 + 2*b171 + 2*b298 - 2*b171*b544 + 2*b171*b730 - 2*b171*b745 - 2
*b172*b174 - 2*b172 + 2*b174 + 2*b172*b175 - 2*b175 + 2*b172*b339 + 2*b339
+ 2*b172*b534 + 2*b173*b175 - 2*b173 + 2*b173*b383 - 2*b383 - 2*b173*b690
+ 2*b173*b745 + 2*b174*b176 - 2*b176 - 2*b174*b660 - 2*b174*b679 + 2*b175
*b176 - 2*b175*b487 - 2*b176*b577 + 2*b176*b661 + 2*b177*b178 + 2*b177 - 4
*b178 - 2*b177*b438 + 2*b438 - 2*b177*b579 - 2*b177*b751 + 2*b178*b203 - 4
*b203 + 2*b178*b545 + 2*b178*b714 + 2*b179*b180 - 2*b180 + 2*b179*b594 + 2
*b179*b630 + 2*b180*b276 - 2*b180*b479 + 2*b180*b714 + 2*b181*b182 - 2*
b182 + 2*b182*b242 + 2*b242 - 2*b182*b665 + 2*b182*b752 + 2*b183*b315 - 2*
b315 - 2*b183*b357 + 2*b357 + 2*b183*b598 - 2*b184*b550 + 2*b184 - 2*b184*
b623 + 2*b184*b624 - 2*b184*b754 + 2*b185*b186 - 2*b186 + 2*b185*b644 + 2*
b186*b251 - 2*b186*b324 - 2*b324 + 2*b186*b365 - 4*b365 + 2*b187*b188 - 4*
b188 + 2*b187*b602 + 2*b188*b365 + 2*b188*b572 + 2*b188*b742 - 2*b189*b190
+ 2*b189 + 2*b189*b328 - 4*b328 - 2*b189*b471 - 2*b189*b625 + 2*b190*b255
- 4*b255 + 2*b190*b742 + 2*b191*b192 + 2*b191*b254 - 2*b254 + 2*b191*b708
+ 2*b192*b255 + 2*b192*b294 - 4*b294 + 2*b193*b194 - 2*b194 - 2*b193*b501
+ 2*b194*b294 + 2*b195*b645 + 2*b195*b743 + 2*b195*b744 - 2*b196*b513 + 2
*b196 - 2*b196*b616 + 2*b196*b617 - 2*b196*b618 - 2*b197*b335 + 2*b335 - 2
*b197*b534 - 2*b197*b738 - 2*b198*b229 - 2*b198 + 2*b229 + 2*b198*b544 + 2
*b198*b711 + 2*b198*b738 + 2*b199*b201 - 4*b201 + 2*b199*b302 + 2*b302 + 2
*b199*b525 + 2*b200*b201 - 2*b200 + 2*b200*b431 - 2*b431 - 2*b200*b678 + 2
*b200*b738 + 2*b201*b202 - 2*b202 + 2*b201*b487 - 2*b202*b565 + 2*b202*
b654 + 2*b202*b667 + 2*b203*b205 - 4*b205 + 2*b203*b579 + 2*b203*b639 + 2*
b204*b205 + 2*b204 - 2*b204*b275 - 2*b275 - 2*b204*b567 - 2*b204*b756 + 2*
b205*b238 + 2*b205*b483 + 2*b206*b208 - 2*b208 + 2*b206*b725 + 2*b207*b490
- 2*b207*b597 + 2*b208*b597 - 2*b208*b671 + 2*b208*b757 + 2*b209*b210 - 2
*b209*b241 - 2*b241 + 2*b209*b354 - 2*b354 + 2*b210*b212 - 2*b212 + 2*b210
*b597 - 2*b211*b319 - 2*b211 + 2*b319 + 2*b211*b354 + 2*b211*b540 + 2*b211
*b584 + 2*b212*b319 + 2*b212*b401 - 2*b401 - 2*b212*b683 - 2*b213*b214 + 2
*b213 + 2*b214 - 2*b213*b508 + 2*b213*b542 - 2*b213*b672 + 2*b214*b215 - 2
*b214*b634 - 2*b214*b758 + 2*b215*b531 + 2*b215*b759 + 2*b216*b217 - 2*
b217 + 2*b217*b288 + 2*b217*b414 - 4*b414 - 2*b217*b760 + 2*b218*b219 - 4*
b219 + 2*b218*b589 + 2*b219*b291 + 2*b291 + 2*b219*b414 + 2*b219*b735 - 2*
b220*b221 + 2*b220 + 2*b220*b290 - 4*b290 - 2*b220*b418 + 2*b418 - 2*b220*
b615 + 2*b221*b293 - 4*b293 + 2*b221*b735 + 2*b222*b223 + 2*b222*b292 - 2*
b292 + 2*b223*b293 + 2*b223*b331 - 4*b331 + 2*b224*b225 - 2*b225 - 2*b224*
b493 + 2*b225*b331 + 2*b226*b227 - 2*b226 + 2*b226*b637 + 2*b227*b736 + 2*
b227*b737 - 2*b228*b523 + 2*b228 - 2*b228*b603 + 2*b228*b604 - 2*b228*b606
+ 2*b229*b231 - 4*b231 - 2*b229*b427 - 2*b427 - 2*b229*b532 - 2*b230*b379
+ 4*b230 + 2*b379 - 2*b230*b525 - 2*b230*b730 - 2*b230*b731 + 2*b231*b534
+ 2*b231*b700 + 2*b231*b731 + 2*b232*b267 - 2*b232 + 2*b232*b485 + 2*b232
*b653 - 2*b232*b668 + 2*b233*b234 - 4*b234 + 2*b233*b265 + 2*b234*b235 - 2
*b235 + 2*b234*b489 + 2*b234*b668 - 2*b235*b553 + 2*b235*b646 + 2*b235*
b678 - 2*b236*b442 + 2*b236 + 4*b442 - 2*b236*b515 + 2*b236*b554 - 2*b236*
b693 + 2*b237*b239 - 2*b237 - 2*b237*b442 + 2*b237*b546 + 2*b237*b631 + 2*
b238*b682 - 2*b238*b764 - 2*b239*b763 + 2*b239*b764 + 2*b240*b241 - 2*b240
*b517 + 2*b241*b583 + 2*b241*b765 - 2*b242*b499 - 2*b242*b548 - 2*b242*
b753 - 2*b243*b283 + 2*b283 + 2*b243*b530 + 2*b243*b633 + 2*b244*b283 - 2*
b244 + 2*b244*b452 - 2*b452 - 2*b244*b694 + 2*b244*b753 - 2*b245*b246 + 2*
b245 + 2*b246 - 2*b245*b455 + 2*b455 - 2*b245*b520 + 2*b245*b531 + 2*b246*
b247 - 2*b246*b642 - 2*b246*b767 + 2*b247*b362 - 2*b362 + 2*b247*b542 + 2*
b248*b250 - 4*b250 + 2*b249*b250 - 4*b249 + 2*b249*b362 + 2*b249*b412 + 2*
b249*b571 + 2*b250*b326 + 2*b250*b467 - 4*b467 + 2*b251*b252 - 4*b252 + 2*
b251*b573 + 2*b252*b253 + 2*b253 + 2*b252*b467 + 2*b252*b727 - 2*b253*b254
- 2*b253*b488 - 2*b253*b602 + 2*b254*b330 - 4*b330 + 2*b254*b727 + 2*b255
*b256 + 2*b255*b329 - 2*b329 + 2*b256*b330 + 2*b256*b371 - 4*b371 + 2*b257
*b258 - 2*b258 - 2*b257*b369 + 2*b258*b371 + 2*b259*b260 - 2*b259 + 2*b259
*b626 + 2*b260*b728 + 2*b260*b729 - 2*b261*b532 + 2*b261 - 2*b261*b590 + 2
*b261*b591 - 2*b261*b592 + 2*b262*b264 + 2*b262 - 4*b264 - 2*b262*b378 - 2
*b378 - 2*b262*b523 - 2*b262*b551 - 2*b263*b266 - 2*b266 - 2*b263*b605 - 2
*b263*b720 + 2*b264*b266 + 2*b264*b525 + 2*b264*b689 + 2*b265*b481 - 2*
b265*b660 + 2*b266*b660 + 2*b266*b721 + 2*b267*b268 - 4*b268 + 2*b268*b270
+ 2*b268*b495 + 2*b268*b660 + 2*b269*b271 + 2*b269*b272 - 2*b272 + 2*b269
*b712 + 2*b270*b272 + 2*b270*b690 + 2*b271*b273 - 4*b273 + 2*b272*b273 - 2
*b272*b438 + 2*b273*b496 + 2*b273*b619 - 2*b274*b393 + 2*b274 + 4*b393 - 2
*b274*b527 + 2*b274*b546 - 2*b274*b681 + 2*b275*b277 + 2*b275*b554 + 2*
b275*b620 + 2*b276*b670 - 2*b276*b770 - 2*b277*b769 + 2*b277*b770 + 2*b278
*b280 - 4*b278 - 2*b280 + 2*b278*b671 + 2*b278*b752 + 2*b278*b771 - 2*b279
*b507 - 2*b279*b748 - 2*b280*b498 + 2*b280*b569 + 2*b280*b748 + 2*b281*
b518 + 2*b281*b665 - 2*b281*b705 + 2*b282*b451 + 2*b451 + 2*b282*b520 - 2*
b282*b622 - 2*b283*b405 - 2*b283*b767 - 2*b284*b403 + 4*b284 - 2*b284*b530
- 2*b284*b531 - 2*b284*b658 + 2*b285*b409 - 2*b409 + 2*b285*b549 + 2*b285
*b658 + 2*b286*b287 - 4*b287 + 2*b287*b289 - 2*b289 + 2*b287*b365 + 2*b287
*b760 + 2*b288*b290 + 2*b288*b560 + 2*b289*b290 + 2*b289*b413 - 4*b413 - 2
*b289*b480 + 2*b290*b717 - 2*b291*b292 - 2*b291*b492 - 2*b291*b589 + 2*
b292*b368 - 4*b368 + 2*b292*b717 + 2*b293*b367 - 2*b367 + 2*b293*b474 + 2*
b294*b493 + 2*b294*b773 + 2*b295*b296 - 2*b295 + 2*b295*b616 + 2*b296*b718
+ 2*b296*b719 + 2*b297*b299 - 2*b299 - 2*b297*b699 - 2*b297*b700 + 2*b298
*b301 - 2*b298*b513 - 2*b298*b563 + 2*b299*b301 - 2*b299*b429 + 4*b429 + 2
*b299*b576 - 2*b300*b303 - 2*b303 - 2*b300*b711 + 2*b301*b303 - 2*b302*
b432 - 2*b302*b481 - 2*b302*b653 + 2*b303*b432 + 2*b303*b713 + 2*b304*b305
- 2*b304 - 2*b305 + 2*b304*b385 - 2*b385 - 2*b304*b628 + 2*b304*b704 - 2*
b305*b389 + 2*b389 + 2*b305*b535 + 2*b305*b761 + 2*b306*b308 - 4*b306 - 4*
b308 + 2*b306*b594 + 2*b306*b607 + 2*b306*b761 - 2*b307*b346 + 4*b307 + 2*
b346 - 2*b307*b536 - 2*b307*b537 - 2*b307*b669 + 2*b308*b346 + 2*b308*b496
+ 2*b308*b537 + 2*b309*b311 + 2*b309*b566 - 2*b309*b714 + 2*b310*b663 - 2
*b310*b747 + 2*b311*b747 - 2*b311*b776 + 2*b312*b314 - 4*b312 - 2*b314 + 2
*b312*b447 - 2*b447 + 2*b312*b665 + 2*b312*b757 - 2*b313*b316 - 2*b316 - 2
*b313*b519 + 2*b313*b725 + 2*b314*b316 - 2*b314*b506 + 2*b314*b556 - 2*
b315*b318 - 2*b318 + 2*b315*b505 + 2*b315*b671 + 2*b316*b318 + 2*b316*b740
+ 2*b317*b508 - 2*b317 + 2*b317*b548 + 2*b317*b611 - 2*b317*b612 + 2*b318
*b612 + 2*b318*b694 - 2*b319*b358 - 2*b319*b758 - 2*b320*b321 + 4*b320 - 2
*b321 - 2*b320*b357 - 2*b320*b540 - 2*b320*b542 + 2*b321*b322 + 2*b321*
b649 + 2*b321*b758 + 2*b322*b462 - 2*b462 + 2*b322*b557 + 2*b323*b325 - 4*
b325 + 2*b324*b325 + 2*b324*b462 + 2*b324*b759 + 2*b325*b327 - 4*b327 + 2*
b325*b414 + 2*b326*b328 + 2*b327*b328 + 2*b327*b466 - 4*b466 + 2*b327*b480
+ 2*b328*b707 + 2*b329*b420 - 2*b420 - 2*b329*b572 + 2*b329*b707 + 2*b330
*b419 - 4*b419 + 2*b330*b421 + 2*b331*b501 + 2*b331*b777 + 2*b332*b333 - 2
*b332 + 2*b332*b603 + 2*b333*b709 + 2*b333*b710 + 2*b334*b336 - 2*b336 - 2
*b334*b710 - 2*b334*b711 + 2*b335*b338 - 2*b335*b503 - 2*b335*b576 + 2*
b336*b338 + 2*b336*b563 - 2*b336*b653 - 2*b337*b340 - 2*b340 - 2*b337*b552
- 2*b337*b700 + 2*b338*b340 - 2*b339*b384 - 2*b339*b429 - 2*b339*b485 + 2
*b340*b384 + 2*b340*b702 + 2*b341*b342 - 2*b342 + 2*b341*b433 - 4*b433 + 2
*b341*b692 - 2*b342*b343 + 2*b343 + 2*b342*b526 + 2*b342*b755 + 2*b343*
b344 - 4*b344 - 2*b343*b390 + 4*b390 - 2*b343*b577 + 2*b344*b579 + 2*b344*
b755 + 2*b344*b768 - 2*b345*b545 + 4*b345 - 2*b345*b546 - 2*b345*b662 - 2*
b345*b664 - 2*b346*b670 - 2*b346*b776 + 2*b347*b349 - 2*b347 + 2*b347*b578
+ 2*b347*b596 - 2*b347*b722 + 2*b348*b443 - 4*b443 + 2*b348*b595 - 2*b348
*b739 + 2*b349*b739 + 2*b349*b776 - 2*b350*b581 - 2*b350*b632 - 2*b351*
b353 - 2*b353 - 2*b351*b516 - 2*b351*b518 + 2*b352*b353 - 4*b352 + 2*b352*
b449 + 2*b352*b632 + 2*b352*b765 + 2*b353*b355 - 2*b355 + 2*b353*b548 - 2*
b354*b356 - 2*b356 + 2*b354*b497 + 2*b355*b356 - 2*b355*b641 + 2*b355*b734
+ 2*b356*b599 + 2*b356*b683 + 2*b357*b734 - 2*b357*b754 - 2*b358*b359 - 2
*b359 - 2*b358*b549 + 2*b359*b361 + 2*b359*b642 + 2*b359*b754 - 2*b360*
b570 - 2*b360*b571 - 2*b360*b726 + 2*b361*b570 + 2*b361*b726 + 2*b362*b364
- 2*b362*b613 + 2*b363*b465 - 2*b465 - 2*b363*b706 + 2*b364*b465 + 2*b364
*b726 + 2*b365*b366 + 2*b366*b695 - 2*b366*b779 + 2*b367*b473 - 2*b473 - 2
*b367*b559 + 2*b367*b695 + 2*b368*b370 + 2*b368*b472 - 4*b472 + 2*b368*
b474 + 2*b369*b372 + 2*b369*b484 + 2*b370*b372 + 2*b370*b473 + 2*b371*b373
- 2*b373 + 2*b371*b511 + 2*b372*b373 + 2*b374*b376 - 2*b374 + 2*b374*b590
- 2*b375*b561 + 4*b375 - 2*b375*b697 - 2*b375*b698 - 2*b375*b699 + 2*b376
*b697 + 2*b376*b699 + 2*b377*b380 - 2*b377*b719 - 2*b377*b720 + 2*b378*
b380 + 2*b378*b561 + 2*b378*b699 + 2*b379*b382 - 4*b382 - 2*b379*b494 - 2*
b379*b592 + 2*b380*b382 - 2*b381*b383 + 4*b381 - 2*b381*b482 - 2*b381*b564
- 2*b381*b689 + 2*b382*b383 + 2*b382*b552 + 2*b383*b638 - 2*b384*b778 + 2
*b385*b387 - 2*b387 + 2*b385*b533 - 2*b385*b721 + 2*b386*b388 - 2*b388 + 2
*b386*b680 + 2*b387*b388 - 2*b387*b514 + 2*b387*b778 - 2*b388*b607 + 2*
b388*b751 + 2*b389*b391 - 4*b391 - 2*b389*b439 + 4*b439 - 2*b389*b565 - 2*
b390*b609 - 2*b390*b761 - 2*b390*b762 + 2*b391*b441 + 2*b391*b751 + 2*b391
*b762 + 2*b392*b440 + 2*b392 - 4*b440 - 2*b392*b554 - 2*b392*b655 - 2*b392
*b656 - 2*b393*b682 - 2*b393*b768 - 2*b393*b769 + 2*b394*b395 - 2*b394 + 2
*b394*b582 + 2*b394*b593 - 2*b394*b732 + 2*b395*b733 + 2*b395*b769 - 2*
b396*b595 - 2*b396*b621 + 2*b397*b621 - 2*b397 + 2*b397*b733 - 2*b397*b757
+ 2*b397*b764 + 2*b398*b399 - 4*b398 + 2*b399 + 2*b398*b400 + 2*b398*b621
+ 2*b398*b771 - 2*b399*b401 - 2*b399*b598 - 2*b399*b725 + 2*b400*b401 - 2
*b400*b539 + 2*b401*b402 - 2*b402 + 2*b402*b404 - 2*b404 - 2*b402*b633 + 2
*b402*b672 + 2*b403*b740 - 2*b403*b749 - 2*b404*b521 + 2*b404*b586 + 2*
b404*b749 - 2*b405*b406 - 2*b406 - 2*b405*b557 + 2*b406*b408 + 2*b406*b634
+ 2*b406*b749 - 2*b407*b585 + 4*b407 - 2*b407*b587 - 2*b407*b715 - 2*b407
*b716 + 2*b408*b585 + 2*b408*b716 + 2*b409*b411 - 2*b409*b600 + 2*b409*
b760 + 2*b410*b413 - 2*b410*b716 + 2*b411*b413 + 2*b411*b716 + 2*b412*b415
+ 2*b413*b415 + 2*b414*b416 - 4*b416 + 2*b415*b416 + 2*b416*b417 - 2*b417
+ 2*b416*b500 + 2*b417*b419 - 2*b417*b635 + 2*b417*b684 - 2*b418*b484 + 2
*b418*b510 - 2*b418*b512 + 2*b419*b512 + 2*b419*b559 + 2*b420*b421 + 2*
b420*b422 - 2*b420*b492 - 2*b421*b476 + 2*b476 + 2*b422*b476 + 2*b422*b512
+ 2*b423*b424 - 2*b423 + 2*b424 + 2*b423*b425 - 2*b424*b574 - 2*b424*b686
- 2*b424*b688 + 2*b425*b688 + 2*b425*b750 + 2*b426*b428 - 4*b428 - 2*b426
*b729 - 2*b426*b730 + 2*b427*b428 + 2*b427*b574 + 2*b427*b688 + 2*b428*
b430 - 4*b430 + 2*b428*b653 - 2*b429*b431 - 2*b429*b486 + 2*b430*b431 + 2*
b430*b564 + 2*b430*b605 + 2*b431*b629 - 2*b432*b775 + 2*b433*b435 - 4*b435
+ 2*b433*b543 + 2*b433*b721 + 2*b434*b436 + 2*b434*b437 - 4*b437 + 2*b435
*b437 + 2*b435*b514 + 2*b435*b775 - 2*b436*b746 + 2*b437*b607 + 2*b437*
b746 + 2*b438*b440 - 2*b438*b553 - 2*b439*b594 - 2*b439*b755 - 2*b439*b756
+ 2*b440*b746 + 2*b440*b756 - 2*b441*b566 - 2*b441*b647 - 2*b442*b762 - 2
*b442*b763 + 2*b443*b444 + 2*b443*b608 + 2*b443*b732 + 2*b444*b723 + 2*
b444*b763 + 2*b445*b516 + 2*b445*b581 - 2*b445*b610 + 2*b446*b610 - 2*b446
+ 2*b446*b723 - 2*b446*b752 + 2*b446*b770 + 2*b447*b448 - 4*b448 - 2*b447
*b568 + 2*b447*b772 + 2*b448*b450 + 2*b448*b610 + 2*b448*b641 - 2*b449*
b452 - 2*b449*b611 + 2*b450*b452 + 2*b450*b539 - 2*b451*b454 - 2*b454 - 2*
b451*b490 - 2*b451*b665 + 2*b452*b454 - 2*b453*b456 - 2*b456 - 2*b453*b530
- 2*b453*b569 + 2*b454*b455 + 2*b454*b456 - 2*b455*b740 - 2*b455*b741 + 2
*b456*b457 + 2*b457 + 2*b456*b741 - 2*b457*b459 - 2*b459 - 2*b457*b570 - 2
*b457*b622 - 2*b458*b460 + 2*b458*b461 + 2*b459*b461 + 2*b459*b623 + 2*
b459*b741 - 2*b460*b706 + 2*b461*b706 + 2*b462*b464 - 2*b462*b588 + 2*b463
*b466 - 2*b463*b726 + 2*b464*b466 + 2*b464*b706 + 2*b465*b467 - 2*b465*
b779 + 2*b466*b779 + 2*b467*b469 - 4*b469 - 2*b468*b470 - 2*b470 - 2*b468*
b500 - 2*b468*b643 + 2*b469*b470 + 2*b469*b510 + 2*b469*b779 + 2*b470*b472
+ 2*b470*b674 + 2*b471*b500 - 2*b471*b502 + 2*b472*b502 + 2*b472*b572 + 2
*b473*b475 - 2*b473*b488 - 2*b474*b774 + 2*b475*b502 + 2*b475*b774 - 2*
b476*b777 - 2*b476*b780 - 2*b477*b478 + 2*b477*b571 + 2*b478*b586 + 2*b479
*b581 - 2*b480*b522 + 2*b481*b482 + 2*b482*b523 - 2*b484*b493 + 2*b485*
b486 + 2*b486*b532 + 2*b487*b553 + 2*b488*b522 + 2*b489*b565 - 2*b490*b491
+ 2*b490*b633 - 2*b491*b583 + 2*b494*b605 + 2*b495*b577 - 2*b496*b580 - 2
*b497*b498 + 2*b497*b499 - 2*b497*b611 - 2*b499*b610 - 2*b500*b708 - 2*
b501*b502 - 2*b504*b567 - 2*b505*b506 + 2*b505*b507 - 2*b505*b598 + 2*b506
*b528 - 2*b507*b621 - 2*b508*b509 + 2*b508*b550 + 2*b509*b556 + 2*b509*
b598 - 2*b509*b599 - 2*b510*b650 - 2*b510*b696 - 2*b511*b512 - 2*b516*b517
+ 2*b518*b519 - 2*b518*b584 - 2*b519*b632 - 2*b520*b521 + 2*b520*b558 + 2
*b521*b569 + 2*b521*b584 - 2*b522*b685 - 2*b524*b525 + 2*b524*b628 - 2*
b524*b712 + 2*b526*b712 - 2*b526*b778 - 2*b528*b529 - 2*b528*b539 - 2*b529
*b752 - 2*b531*b624 - 2*b533*b534 - 2*b533*b701 + 2*b535*b701 - 2*b535*
b775 - 2*b537*b682 - 2*b538*b757 - 2*b540*b541 - 2*b541*b556 - 2*b542*b613
- 2*b543*b544 - 2*b543*b690 - 2*b546*b670 - 2*b547*b765 + 2*b549*b550 - 2
*b549*b600 - 2*b550*b683 + 2*b551*b720 + 2*b551*b745 - 2*b552*b629 - 2*
b554*b663 - 2*b555*b771 - 2*b556*b597 + 2*b557*b558 - 2*b557*b588 - 2*b558
*b694 - 2*b559*b560 - 2*b560*b742 + 2*b561*b562 - 2*b561*b563 + 2*b562*
b698 - 2*b562*b709 - 2*b562*b710 + 2*b563*b710 - 2*b564*b638 + 2*b566*b567
+ 2*b567*b693 + 2*b568*b595 - 2*b569*b583 - 2*b571*b614 - 2*b572*b573 - 2
*b573*b735 + 2*b574*b575 - 2*b574*b576 + 2*b575*b686 - 2*b575*b718 - 2*
b575*b719 + 2*b576*b719 - 2*b578*b579 + 2*b578*b580 + 2*b580*b681 - 2*b580
*b714 - 2*b581*b582 - 2*b582*b733 + 2*b583*b753 - 2*b584*b641 - 2*b585*
b586 - 2*b586*b612 + 2*b587*b588 - 2*b587*b601 + 2*b588*b715 - 2*b589*b727
- 2*b590*b677 + 2*b591*b677 - 2*b591*b728 - 2*b591*b729 + 2*b592*b689 + 2
*b592*b729 - 2*b593*b594 - 2*b593*b639 - 2*b595*b596 + 2*b596*b639 - 2*
b596*b723 + 2*b599*b754 - 2*b602*b717 - 2*b603*b666 + 2*b604*b666 - 2*b604
*b736 - 2*b604*b737 - 2*b605*b606 + 2*b606*b700 + 2*b606*b737 - 2*b607*
b619 - 2*b608*b609 - 2*b608*b630 + 2*b609*b619 + 2*b612*b758 - 2*b615*b707
- 2*b616*b659 + 2*b617*b659 - 2*b617*b743 - 2*b617*b744 + 2*b618*b711 + 2
*b618*b744 - 2*b619*b768 + 2*b622*b705 + 2*b622*b767 - 2*b624*b759 - 2*
b625*b695 - 2*b626*b652 + 2*b627*b720 - 2*b628*b629 + 2*b629*b775 - 2*b630
*b631 + 2*b632*b766 - 2*b633*b671 + 2*b635*b643 - 2*b636*b651 - 2*b637*
b645 + 2*b638*b778 - 2*b639*b640 + 2*b640*b682 - 2*b643*b644 + 2*b646*b703
- 2*b646*b761 + 2*b647*b756 + 2*b647*b763 + 2*b648*b670 - 2*b649*b658 + 2
*b654*b691 - 2*b654*b755 + 2*b656*b762 + 2*b656*b769 + 2*b657*b663 + 2*
b658*b767 + 2*b661*b679 - 2*b661*b751 - 2*b663*b664 + 2*b664*b768 + 2*b664
*b776 - 2*b667*b668 + 2*b668*b731 - 2*b672*b734 - 2*b673*b674 + 2*b673*
b675 - 2*b673*b676 - 2*b674*b707 - 2*b675*b717 + 2*b678*b679 - 2*b679*b680
- 2*b684*b695 - 2*b685*b727 - 2*b687*b688 - 2*b687*b689 + 2*b690*b691 - 2
*b691*b692 - 2*b696*b735 - 2*b701*b702 + 2*b701*b703 - 2*b702*b745 - 2*
b703*b704 + 2*b705*b748 - 2*b708*b742 - 2*b712*b713 - 2*b713*b738 - 2*b721
*b731 - 2*b724*b725 - 2*b734*b753 + 2*b739*b766 - 2*b740*b748 + 2*b747*
b772 - 2*b759*b760 - 2*b764*b766 - 2*b765*b766 - 2*b770*b772 - 2*b771*b772
- 2*b773*b774 + 2*b774*b780 + 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: 2025-08-07 Git hash: e62cedfc