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A Library of Mixed-Integer and Continuous Nonlinear Programming Instances

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Instance: sporttournament46

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
Primal Bounds (infeas ≤ 1e-08)
960.00000000 p1 ( gdx sol )
(infeas: 0)
966.00000000 p2 ( gdx sol )
(infeas: 0)
1016.00000000 p3 ( gdx sol )
(infeas: 0)
1024.00000000 p4 ( gdx sol )
(infeas: 0)
1026.00000000 p5 ( gdx sol )
(infeas: 0)
1030.00000000 p6 ( gdx sol )
(infeas: 0)
Other points (infeas > 1e-08)  
Dual Bounds
1187.71869700 (ANTIGONE)
1068.04445600 (BARON)
1280.00000000 (COUENNE)
1182.00000000 (LINDO)
1226.66094500 (SCIP)
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-46-4711
Application Sports Tournament
Added to library 26 Feb 2014
Problem type MBQCP
#Variables 1036
#Binary Variables 1035
#Integer Variables 0
#Nonlinear Variables 1035
#Nonlinear Binary Variables 1035
#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 1036
#Nonlinear Nonzeros in Jacobian 1035
#Nonzeros in (Upper-Left) Hessian of Lagrangian 4048
#Nonzeros in Diagonal of Hessian of Lagrangian 0
#Blocks in Hessian of Lagrangian 1
Minimal blocksize in Hessian of Lagrangian 1035
Maximal blocksize in Hessian of Lagrangian 1035
Average blocksize in Hessian of Lagrangian 1035.0
#Semicontinuities 0
#Nonlinear Semicontinuities 0
#SOS type 1 0
#SOS type 2 0
Infeasibility of initial point 0
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
*          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
*       1036        1     1035        0        0        0        0        0
*  FX      0
*  
*  Nonzero counts
*      Total    const       NL      DLL
*       1036        1     1035        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,b781,b782,b783,b784,b785,b786,b787,b788,b789,b790,b791,b792
          ,b793,b794,b795,b796,b797,b798,b799,b800,b801,b802,b803,b804,b805
          ,b806,b807,b808,b809,b810,b811,b812,b813,b814,b815,b816,b817,b818
          ,b819,b820,b821,b822,b823,b824,b825,b826,b827,b828,b829,b830,b831
          ,b832,b833,b834,b835,b836,b837,b838,b839,b840,b841,b842,b843,b844
          ,b845,b846,b847,b848,b849,b850,b851,b852,b853,b854,b855,b856,b857
          ,b858,b859,b860,b861,b862,b863,b864,b865,b866,b867,b868,b869,b870
          ,b871,b872,b873,b874,b875,b876,b877,b878,b879,b880,b881,b882,b883
          ,b884,b885,b886,b887,b888,b889,b890,b891,b892,b893,b894,b895,b896
          ,b897,b898,b899,b900,b901,b902,b903,b904,b905,b906,b907,b908,b909
          ,b910,b911,b912,b913,b914,b915,b916,b917,b918,b919,b920,b921,b922
          ,b923,b924,b925,b926,b927,b928,b929,b930,b931,b932,b933,b934,b935
          ,b936,b937,b938,b939,b940,b941,b942,b943,b944,b945,b946,b947,b948
          ,b949,b950,b951,b952,b953,b954,b955,b956,b957,b958,b959,b960,b961
          ,b962,b963,b964,b965,b966,b967,b968,b969,b970,b971,b972,b973,b974
          ,b975,b976,b977,b978,b979,b980,b981,b982,b983,b984,b985,b986,b987
          ,b988,b989,b990,b991,b992,b993,b994,b995,b996,b997,b998,b999,b1000
          ,b1001,b1002,b1003,b1004,b1005,b1006,b1007,b1008,b1009,b1010,b1011
          ,b1012,b1013,b1014,b1015,b1016,b1017,b1018,b1019,b1020,b1021,b1022
          ,b1023,b1024,b1025,b1026,b1027,b1028,b1029,b1030,b1031,b1032,b1033
          ,b1034,b1035,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,b781,b782,b783,b784,b785,b786,b787,b788,b789,b790
          ,b791,b792,b793,b794,b795,b796,b797,b798,b799,b800,b801,b802,b803
          ,b804,b805,b806,b807,b808,b809,b810,b811,b812,b813,b814,b815,b816
          ,b817,b818,b819,b820,b821,b822,b823,b824,b825,b826,b827,b828,b829
          ,b830,b831,b832,b833,b834,b835,b836,b837,b838,b839,b840,b841,b842
          ,b843,b844,b845,b846,b847,b848,b849,b850,b851,b852,b853,b854,b855
          ,b856,b857,b858,b859,b860,b861,b862,b863,b864,b865,b866,b867,b868
          ,b869,b870,b871,b872,b873,b874,b875,b876,b877,b878,b879,b880,b881
          ,b882,b883,b884,b885,b886,b887,b888,b889,b890,b891,b892,b893,b894
          ,b895,b896,b897,b898,b899,b900,b901,b902,b903,b904,b905,b906,b907
          ,b908,b909,b910,b911,b912,b913,b914,b915,b916,b917,b918,b919,b920
          ,b921,b922,b923,b924,b925,b926,b927,b928,b929,b930,b931,b932,b933
          ,b934,b935,b936,b937,b938,b939,b940,b941,b942,b943,b944,b945,b946
          ,b947,b948,b949,b950,b951,b952,b953,b954,b955,b956,b957,b958,b959
          ,b960,b961,b962,b963,b964,b965,b966,b967,b968,b969,b970,b971,b972
          ,b973,b974,b975,b976,b977,b978,b979,b980,b981,b982,b983,b984,b985
          ,b986,b987,b988,b989,b990,b991,b992,b993,b994,b995,b996,b997,b998
          ,b999,b1000,b1001,b1002,b1003,b1004,b1005,b1006,b1007,b1008,b1009
          ,b1010,b1011,b1012,b1013,b1014,b1015,b1016,b1017,b1018,b1019,b1020
          ,b1021,b1022,b1023,b1024,b1025,b1026,b1027,b1028,b1029,b1030,b1031
          ,b1032,b1033,b1034,b1035;

Equations  e1;


e1.. 2*b1*b52 - 2*b1 - 2*b52 - 2*b1*b651 + 2*b1*b652 + 2*b1*b661 + 2*b2*b478 - 
     2*b2 - 2*b478 - 2*b2*b524 + 2*b524 + 2*b2*b653 + 2*b2*b666 - 2*b3*b579 - 2
     *b3 + 2*b579 + 2*b3*b657 + 2*b3*b658 + 2*b3*b678 + 2*b4*b65 - 2*b4 - 2*b65
      + 2*b4*b96 - 2*b96 + 2*b4*b143 - 2*b143 - 2*b4*b168 + 2*b168 + 2*b5*b9 - 
     4*b5 - 2*b9 + 2*b5*b42 - 2*b42 + 2*b5*b279 - 2*b279 + 2*b5*b683 + 2*b6*
     b118 - 2*b6 - 2*b118 + 2*b6*b169 - 2*b169 - 2*b6*b192 + 2*b192 + 2*b6*b734
      + 2*b7*b96 - 2*b7 + 2*b7*b144 - 2*b144 + 2*b7*b193 - 2*b193 - 2*b7*b748
      + 2*b8*b118 - 2*b8 + 2*b8*b170 - 2*b170 + 2*b8*b217 - 4*b217 - 2*b8*b251
      + 2*b251 + 2*b9*b534 - 2*b534 + 2*b9*b721 - 2*b9*b756 + 2*b10*b144 - 2*
     b10 + 2*b10*b194 - 2*b194 + 2*b10*b252 - 4*b252 - 2*b10*b287 + 2*b287 + 2*
     b11*b125 - 2*b11 - 2*b125 + 2*b11*b664 - 2*b11*b738 + 2*b11*b739 + 2*b12*
     b587 - 2*b12 - 2*b587 + 2*b12*b706 + 2*b12*b746 - 2*b12*b767 + 2*b13*b170
      - 2*b13 + 2*b13*b219 - 2*b219 + 2*b13*b288 - 4*b288 - 2*b13*b323 + 2*b323
      + 2*b14*b150 - 2*b14 - 2*b150 + 2*b14*b508 + 2*b508 + 2*b14*b665 - 2*b14*
     b752 + 2*b15*b194 - 2*b15 + 2*b15*b254 - 2*b254 + 2*b15*b324 - 4*b324 - 2*
     b15*b365 + 2*b365 + 2*b16*b177 - 2*b16 - 2*b177 + 2*b16*b456 + 2*b456 + 2*
     b16*b676 - 2*b16*b760 + 2*b17*b219 - 2*b17 + 2*b17*b290 - 2*b290 + 2*b17*
     b366 - 4*b366 - 2*b17*b401 + 2*b401 + 2*b18*b204 - 2*b18 - 2*b204 + 2*b18*
     b689 + 2*b18*b690 - 2*b18*b772 - 2*b19*b374 - 2*b19 + 2*b374 + 2*b19*b376
      - 2*b376 + 2*b19*b617 - 4*b617 + 2*b19*b728 + 2*b20*b155 - 2*b20 - 2*b155
      - 2*b20*b517 + 2*b517 + 2*b20*b801 + 2*b20*b802 + 2*b21*b254 - 2*b21 + 2*
     b21*b326 - 2*b326 + 2*b21*b402 - 4*b402 - 2*b21*b444 + 2*b444 + 2*b22*b230
      - 2*b22 - 2*b230 - 2*b22*b411 + 2*b411 + 2*b22*b675 + 2*b22*b702 + 2*b23*
     b181 - 2*b23 - 2*b181 - 2*b23*b568 + 4*b568 + 2*b23*b815 + 2*b23*b816 + 2*
     b24*b263 - 2*b24 - 2*b263 - 2*b24*b454 + 2*b454 + 2*b24*b664 + 2*b24*b714
      + 2*b25*b131 - 2*b25 - 2*b131 + 2*b25*b206 - 2*b206 + 2*b25*b305 - 2*b305
      - 2*b25*b626 + 2*b626 + 2*b26*b48 - 2*b26 - 2*b48 + 2*b26*b481 - 4*b481
      + 2*b27*b155 - 2*b27 + 2*b27*b232 - 4*b232 + 2*b27*b342 - 2*b342 - 2*b27*
     b842 + 2*b28*b41 - 2*b28 - 2*b41 + 2*b28*b681 + 2*b28*b695 - 2*b28*b779 + 
     2*b29*b245 - 2*b29 - 2*b245 + 2*b29*b357 - 2*b357 + 2*b29*b659 - 2*b29*
     b846 + 2*b30*b181 - 2*b30 + 2*b30*b267 - 4*b267 + 2*b30*b381 - 4*b381 - 2*
     b30*b855 + 2*b31*b316 - 2*b31 - 2*b316 + 2*b31*b668 + 2*b31*b747 - 2*b31*
     b859 + 2*b32*b505 - 2*b32 - 2*b505 + 2*b32*b558 - 2*b558 + 2*b32*b752 - 2*
     b32*b825 + 2*b33*b206 - 2*b33 + 2*b33*b306 - 4*b306 + 2*b33*b424 - 4*b424
      - 2*b33*b867 + 2*b34*b88 - 2*b34 - 4*b88 - 2*b34*b181 + 2*b34*b306 + 2*
     b34*b868 + 2*b35*b91 - 2*b35 - 2*b91 + 2*b35*b844 + 2*b36*b280 - 2*b36 - 2
     *b280 + 2*b36*b680 + 2*b36*b757 - 2*b36*b871 + 2*b37*b451 - 2*b37 - 2*b451
      + 2*b37*b738 - 2*b37*b837 + 2*b37*b838 + 2*b38*b232 - 2*b38 + 2*b38*b343
      - 4*b343 + 2*b38*b467 - 4*b467 - 2*b38*b878 + 2*b39*b58 - 2*b39 - 2*b58
      + 2*b39*b107 - 4*b107 - 2*b39*b155 + 2*b39*b343 + 2*b40*b112 - 2*b40 - 2*
     b112 + 2*b40*b857 + 2*b41*b245 + 2*b41*b768 - 2*b41*b881 + 2*b42*b43 - 2*
     b43 + 2*b42*b757 - 2*b42*b769 + 2*b43*b63 - 2*b63 - 2*b43*b359 + 4*b359 + 
     2*b43*b646 + 2*b44*b117 - 2*b44 - 2*b117 + 2*b44*b247 - 4*b247 + 2*b44*
     b651 - 2*b44*b903 + 2*b45*b454 - 2*b45 + 2*b45*b726 - 2*b45*b852 + 2*b45*
     b853 + 2*b46*b267 - 2*b46 + 2*b46*b382 - 4*b382 + 2*b46*b518 - 4*b518 - 2*
     b46*b886 + 2*b47*b72 - 2*b47 - 4*b72 - 2*b47*b131 + 2*b47*b133 - 4*b133 + 
     2*b47*b382 + 2*b48*b49 - 2*b49 - 2*b48*b111 - 2*b111 + 2*b48*b241 - 4*b241
      + 2*b49*b136 - 4*b136 + 2*b50*b164 - 2*b50 - 2*b164 + 2*b50*b804 + 2*b51*
     b52 - 4*b51 + 2*b51*b746 + 2*b51*b768 + 2*b51*b769 + 2*b52*b78 - 2*b78 - 2
     *b52*b395 + 2*b395 + 2*b53*b117 - 2*b53 + 2*b53*b166 - 2*b166 + 2*b53*b647
      - 2*b53*b882 + 2*b54*b68 - 2*b54 - 2*b68 + 2*b54*b333 - 2*b333 - 2*b54*
     b809 + 2*b54*b810 + 2*b55*b411 - 2*b55 + 2*b55*b712 - 2*b55*b865 + 2*b55*
     b866 + 2*b56*b306 - 4*b56 + 2*b56*b425 - 4*b425 + 2*b56*b569 - 4*b569 + 2*
     b56*b886 + 2*b57*b88 - 2*b57 + 2*b57*b157 - 4*b157 + 2*b57*b425 - 2*b57*
     b816 + 2*b58*b573 - 4*b573 + 2*b58*b843 - 2*b58*b879 + 2*b59*b89 - 2*b59
      - 2*b89 - 2*b59*b91 + 2*b59*b161 - 4*b161 + 2*b59*b899 + 2*b60*b61 - 2*
     b60 - 2*b61 - 2*b60*b90 - 2*b90 + 2*b60*b275 - 4*b275 + 2*b60*b880 + 2*b61
     *b161 + 2*b62*b139 - 2*b62 - 2*b139 + 2*b62*b484 + 2*b484 + 2*b63*b190 - 4
     *b190 - 2*b63*b872 + 2*b63*b903 + 2*b64*b117 - 4*b64 + 2*b64*b190 + 2*b64*
     b709 + 2*b64*b748 + 2*b65*b171 - 2*b171 + 2*b65*b708 - 2*b65*b930 + 2*b66*
     b80 + 2*b66 + 2*b80 - 2*b66*b199 + 4*b199 - 2*b66*b685 - 2*b66*b749 + 2*
     b67*b370 - 2*b67 - 2*b370 - 2*b67*b822 + 2*b67*b823 + 2*b67*b824 + 2*b68*
     b641 + 2*b68*b751 - 2*b68*b812 + 2*b69*b700 - 2*b69 + 2*b69*b772 - 2*b69*
     b876 + 2*b69*b877 + 2*b70*b343 - 4*b70 + 2*b70*b469 - 4*b469 + 2*b70*b627
      - 4*b627 + 2*b70*b878 + 2*b71*b107 - 2*b71 + 2*b71*b183 - 4*b183 + 2*b71*
     b469 - 2*b71*b802 + 2*b72*b235 - 4*b235 + 2*b72*b829 + 2*b72*b869 + 2*b73*
     b74 - 2*b73 - 2*b74 + 2*b73*b901 - 2*b73*b911 + 2*b73*b912 - 2*b74*b75 - 2
     *b75 + 2*b74*b110 - 4*b110 + 2*b74*b186 - 4*b186 + 2*b75*b76 - 2*b76 + 2*
     b75*b313 - 4*b313 + 2*b75*b887 + 2*b76*b186 + 2*b77*b115 - 2*b77 - 2*b115
      + 2*b77*b436 + 2*b436 + 2*b78*b166 + 2*b78*b214 - 4*b214 - 2*b78*b860 - 2
     *b79*b605 + 2*b79 + 2*b605 - 2*b79*b670 + 2*b79*b673 - 2*b79*b758 - 2*b80*
     b603 + 2*b603 - 2*b80*b687 - 2*b80*b932 + 2*b81*b226 - 2*b81 - 2*b226 + 2*
     b81*b409 - 2*b409 - 2*b81*b835 + 2*b81*b836 + 2*b82*b229 - 2*b82 - 4*b229
      + 2*b82*b409 - 2*b82*b798 + 2*b82*b824 + 2*b83*b149 - 4*b83 - 2*b149 + 2*
     b83*b334 - 2*b334 + 2*b83*b760 + 2*b83*b876 + 2*b84*b85 - 2*b84 - 2*b85 + 
     2*b84*b103 - 2*b103 + 2*b84*b300 - 4*b300 - 2*b84*b740 + 2*b85*b127 - 2*
     b127 + 2*b85*b179 - 2*b179 - 2*b85*b942 + 2*b86*b382 - 2*b86 + 2*b86*b520
      - 2*b520 - 2*b86*b648 + 2*b86*b867 + 2*b87*b133 - 4*b87 + 2*b87*b208 - 4*
     b208 + 2*b87*b520 + 2*b87*b802 + 2*b88*b817 + 2*b88*b879 + 2*b89*b90 - 2*
     b89*b923 + 2*b89*b924 + 2*b90*b134 - 4*b134 + 2*b90*b211 - 4*b211 + 2*b91*
     b92 - 2*b92 + 2*b91*b638 - 2*b638 + 2*b92*b211 + 2*b93*b94 - 2*b93 - 4*b94
      + 2*b93*b391 + 2*b391 + 2*b94*b95 - 4*b95 + 2*b94*b390 - 2*b390 + 2*b94*
     b660 + 2*b95*b354 - 4*b354 + 2*b95*b654 + 2*b95*b881 + 2*b96*b600 - 2*b600
      - 2*b96*b905 + 2*b97*b99 + 2*b97 - 2*b99 - 2*b97*b331 - 2*b331 - 2*b97*
     b550 + 2*b550 - 2*b97*b662 - 2*b98*b548 + 2*b98 + 2*b548 - 2*b98*b698 + 2*
     b98*b735 - 2*b98*b920 + 2*b99*b687 + 2*b99*b920 - 2*b99*b950 + 2*b100*b227
      - 4*b100 - 4*b227 + 2*b100*b450 - 2*b450 + 2*b100*b835 + 2*b100*b851 + 2*
     b101*b262 - 2*b101 - 2*b262 + 2*b101*b450 - 2*b101*b785 + 2*b101*b836 + 2*
     b102*b124 - 4*b102 - 2*b124 + 2*b102*b371 - 2*b371 + 2*b102*b752 + 2*b102*
     b865 + 2*b103*b152 - 2*b152 + 2*b103*b339 - 2*b339 - 2*b103*b464 + 4*b464
      + 2*b104*b153 - 2*b104 - 4*b153 - 2*b104*b568 + 2*b104*b648 + 2*b104*b788
      + 2*b105*b425 - 2*b105 + 2*b105*b571 - 2*b571 - 2*b105*b643 + 2*b105*b855
      + 2*b106*b157 - 4*b106 + 2*b106*b234 - 4*b234 + 2*b106*b571 + 2*b106*b816
      + 2*b107*b803 + 2*b107*b870 - 2*b108*b109 - 2*b108 + 2*b109 + 2*b108*b645
      + 2*b108*b657 + 2*b108*b870 + 2*b109*b159 - 4*b159 - 2*b109*b899 - 2*b109
     *b953 + 2*b110*b111 + 2*b110*b923 + 2*b110*b935 + 2*b111*b159 + 2*b111*
     b242 - 4*b242 + 2*b112*b113 - 2*b113 + 2*b112*b582 - 2*b582 - 2*b112*b901
      + 2*b113*b242 + 2*b114*b116 - 2*b114 - 4*b116 + 2*b114*b353 + 2*b353 + 2*
     b115*b352 - 2*b352 + 2*b115*b485 + 2*b485 - 2*b115*b937 + 2*b116*b435 - 2*
     b435 + 2*b116*b669 + 2*b116*b937 - 2*b117*b893 - 2*b118*b368 + 2*b368 + 2*
     b118*b686 + 2*b119*b121 + 2*b119 - 2*b121 - 2*b119*b294 - 2*b294 - 2*b119*
     b499 + 2*b499 - 2*b119*b656 - 2*b120*b497 + 2*b120 + 2*b497 - 2*b120*b710
      + 2*b120*b723 - 2*b120*b907 + 2*b121*b698 + 2*b121*b907 - 2*b121*b959 + 2
     *b122*b260 - 4*b122 - 4*b260 + 2*b122*b504 - 2*b504 + 2*b122*b822 + 2*b122
     *b864 + 2*b123*b125 - 4*b123 + 2*b123*b410 - 4*b410 + 2*b123*b738 + 2*b123
     *b852 + 2*b124*b262 + 2*b124*b725 - 2*b124*b961 - 2*b125*b960 + 2*b125*
     b961 + 2*b126*b128 - 2*b126 - 4*b128 + 2*b126*b301 - 2*b301 - 2*b126*b515
      + 4*b515 + 2*b126*b728 + 2*b127*b129 - 4*b129 + 2*b127*b644 - 2*b127*b800
      + 2*b128*b129 + 2*b128*b644 + 2*b128*b922 + 2*b129*b517 + 2*b129*b643 + 2
     *b130*b469 - 4*b130 + 2*b130*b629 - 2*b629 + 2*b130*b648 + 2*b130*b842 + 2
     *b131*b132 - 4*b132 + 2*b131*b789 + 2*b132*b183 + 2*b132*b269 - 4*b269 + 2
     *b132*b629 + 2*b133*b791 + 2*b133*b856 + 2*b134*b135 - 2*b135 + 2*b134*
     b239 - 2*b239 + 2*b134*b911 + 2*b135*b184 - 4*b184 + 2*b135*b276 - 2*b276
      - 2*b135*b857 + 2*b136*b137 - 2*b137 + 2*b136*b527 - 2*b527 + 2*b136*b901
      + 2*b137*b276 + 2*b138*b140 - 2*b138 - 4*b140 + 2*b138*b730 + 2*b139*b532
      + 2*b532 + 2*b139*b925 - 2*b139*b927 + 2*b140*b483 - 2*b483 + 2*b140*b682
      + 2*b140*b927 + 2*b141*b143 - 2*b141 + 2*b141*b321 - 4*b321 - 2*b141*b365
      + 2*b141*b903 - 2*b142*b707 + 2*b142 - 2*b142*b708 + 2*b142*b893 - 2*b142
     *b968 - 2*b143*b285 + 2*b285 + 2*b143*b968 - 2*b144*b328 + 2*b328 + 2*b144
     *b671 - 2*b145*b723 + 4*b145 - 2*b145*b724 - 2*b145*b895 - 2*b145*b896 + 2
     *b146*b404 - 4*b146 - 4*b404 + 2*b146*b710 + 2*b146*b794 + 2*b146*b896 + 2
     *b147*b296 - 4*b147 - 4*b296 + 2*b147*b555 - 2*b555 + 2*b147*b809 + 2*b147
     *b875 + 2*b148*b150 - 4*b148 + 2*b148*b452 - 4*b452 + 2*b148*b726 + 2*b148
     *b837 + 2*b149*b229 + 2*b149*b711 - 2*b149*b971 - 2*b150*b970 + 2*b150*
     b971 + 2*b151*b153 - 2*b151 + 2*b151*b265 - 2*b265 - 2*b151*b566 + 4*b566
      + 2*b151*b716 + 2*b152*b154 + 2*b154 + 2*b152*b933 - 2*b152*b951 + 2*b153
     *b910 + 2*b153*b951 - 2*b154*b466 + 2*b466 - 2*b154*b648 - 2*b154*b788 + 2
     *b155*b156 - 2*b156 + 2*b156*b208 + 2*b156*b308 - 4*b308 - 2*b156*b630 - 2
     *b630 + 2*b157*b778 + 2*b157*b843 + 2*b158*b235 - 2*b158 + 2*b158*b475 + 2
     *b475 + 2*b158*b634 - 4*b634 - 2*b158*b912 + 2*b159*b160 - 2*b160 + 2*b159
     *b273 - 2*b273 + 2*b160*b209 - 4*b209 + 2*b160*b314 - 2*b314 - 2*b160*b844
      + 2*b161*b162 - 2*b162 + 2*b161*b479 - 4*b479 + 2*b162*b314 + 2*b163*b165
      - 2*b163 - 4*b165 + 2*b163*b719 + 2*b164*b585 + 2*b585 + 2*b164*b913 - 2*
     b164*b915 + 2*b165*b531 - 2*b531 + 2*b165*b695 + 2*b165*b915 + 2*b166*b167
      - 2*b167 - 2*b166*b917 + 2*b167*b169 + 2*b167*b362 - 4*b362 - 2*b167*b401
      - 2*b168*b218 - 2*b218 - 2*b168*b722 + 2*b168*b904 + 2*b169*b218 - 2*b169
     *b249 + 2*b249 + 2*b170*b172 - 2*b172 - 2*b170*b292 + 2*b292 + 2*b171*b290
      + 2*b171*b330 - 2*b330 - 2*b171*b833 - 2*b172*b662 + 2*b172*b833 + 2*b172
     *b969 - 2*b173*b405 + 4*b173 - 2*b405 - 2*b173*b735 - 2*b173*b737 - 2*b173
     *b890 + 2*b174*b724 - 4*b174 + 2*b174*b808 + 2*b174*b890 + 2*b174*b959 + 2
     *b175*b202 - 4*b175 - 4*b202 + 2*b175*b332 - 4*b332 + 2*b175*b610 - 2*b610
      + 2*b175*b796 + 2*b176*b177 - 4*b176 + 2*b176*b506 - 4*b506 + 2*b176*b712
      + 2*b176*b825 + 2*b177*b335 - 2*b335 - 2*b177*b977 + 2*b178*b299 - 4*b178
      - 2*b299 + 2*b178*b335 + 2*b178*b458 + 2*b458 + 2*b178*b699 - 2*b179*b180
      + 2*b180 + 2*b179*b727 + 2*b179*b775 + 2*b180*b423 + 2*b423 - 2*b180*b626
      - 2*b180*b979 + 2*b181*b182 - 2*b182 + 2*b182*b234 + 2*b182*b346 - 4*b346
      - 2*b182*b572 - 2*b572 + 2*b183*b766 + 2*b183*b829 + 2*b184*b185 - 4*b185
      + 2*b184*b311 - 2*b311 + 2*b184*b900 + 2*b185*b240 - 4*b240 + 2*b185*b351
      - 2*b351 + 2*b185*b844 + 2*b186*b187 - 2*b187 + 2*b186*b528 - 4*b528 + 2*
     b187*b351 + 2*b188*b681 - 2*b188 + 2*b188*b805 + 2*b188*b902 - 2*b188*b916
      + 2*b189*b279 - 2*b189 + 2*b189*b437 - 2*b437 - 2*b189*b831 + 2*b189*b916
      + 2*b190*b191 - 2*b191 + 2*b190*b929 + 2*b191*b193 + 2*b191*b398 - 4*b398
      - 2*b191*b444 - 2*b192*b253 - 2*b253 - 2*b192*b733 + 2*b192*b917 - 2*b193
     *b215 + 2*b215 + 2*b193*b253 + 2*b194*b196 - 2*b196 - 2*b194*b256 + 2*b256
      + 2*b195*b196 - 2*b195 + 2*b195*b253 - 2*b195*b686 + 2*b195*b968 + 2*b196
     *b197 - 2*b197 - 2*b196*b656 - 2*b197*b198 - 2*b198 + 2*b197*b849 + 2*b197
     *b950 + 2*b198*b200 - 4*b200 + 2*b198*b670 + 2*b198*b821 - 2*b199*b446 - 2
     *b446 - 2*b199*b750 - 2*b199*b884 + 2*b200*b737 + 2*b200*b884 + 2*b200*
     b950 + 2*b201*b228 - 4*b201 - 4*b228 + 2*b201*b369 - 4*b369 + 2*b201*b642
      + 2*b201*b783 + 2*b202*b451 + 2*b202*b759 + 2*b202*b876 + 2*b203*b204 - 4
     *b203 + 2*b203*b557 - 4*b557 + 2*b203*b700 + 2*b203*b812 + 2*b204*b372 - 2
     *b372 - 2*b204*b985 - 2*b205*b764 + 2*b205 + 2*b205*b790 - 2*b205*b842 - 2
     *b205*b987 + 2*b206*b207 - 2*b207 - 2*b206*b869 + 2*b207*b269 + 2*b207*
     b384 - 4*b384 - 2*b207*b521 - 2*b521 + 2*b208*b270 - 2*b270 + 2*b208*b817
      + 2*b209*b210 - 4*b210 + 2*b209*b349 - 2*b349 + 2*b209*b912 + 2*b210*b274
      - 4*b274 + 2*b210*b389 - 2*b389 + 2*b210*b857 + 2*b211*b212 - 2*b212 + 2*
     b211*b583 - 4*b583 + 2*b212*b389 + 2*b213*b486 - 2*b213 - 2*b486 - 2*b213*
     b819 + 2*b213*b928 + 2*b213*b990 + 2*b214*b216 - 2*b216 + 2*b214*b917 + 2*
     b214*b939 + 2*b215*b217 - 2*b215*b595 - 2*b595 - 2*b215*b661 + 2*b216*b217
      + 2*b216*b442 - 4*b442 - 2*b216*b862 + 2*b217*b289 - 2*b289 + 2*b218*b220
      - 2*b220 + 2*b218*b969 - 2*b219*b221 + 2*b221 + 2*b219*b222 - 4*b222 + 2*
     b220*b222 + 2*b220*b289 - 2*b220*b600 + 2*b221*b223 - 2*b223 - 2*b221*b599
      - 2*b599 - 2*b221*b958 + 2*b222*b223 + 2*b222*b656 - 2*b223*b808 + 2*b223
     *b941 + 2*b224*b225 - 2*b224 - 4*b225 + 2*b224*b685 - 2*b224*b833 + 2*b224
     *b834 + 2*b225*b750 + 2*b225*b874 + 2*b225*b941 - 2*b226*b609 + 2*b609 + 2
     *b226*b687 + 2*b226*b884 + 2*b227*b609 + 2*b227*b698 + 2*b227*b874 + 2*
     b228*b770 + 2*b228*b853 + 2*b228*b865 + 2*b229*b230 + 2*b229*b612 - 4*b612
      + 2*b230*b412 - 2*b412 - 2*b230*b453 + 2*b453 - 2*b231*b755 + 2*b231 + 2*
     b231*b801 - 2*b231*b855 - 2*b231*b995 + 2*b232*b233 - 2*b233 + 2*b232*b573
      + 2*b233*b308 + 2*b233*b428 - 4*b428 - 2*b233*b470 - 2*b470 + 2*b234*b236
      - 4*b236 + 2*b234*b803 + 2*b235*b238 - 4*b238 + 2*b235*b576 - 4*b576 + 2*
     b236*b238 + 2*b236*b428 + 2*b236*b777 - 2*b237*b239 + 2*b237 + 2*b237*b474
      - 4*b474 - 2*b237*b650 - 2*b237*b856 + 2*b238*b239 + 2*b238*b650 + 2*b239
     *b312 - 4*b312 + 2*b240*b241 + 2*b240*b387 - 2*b387 + 2*b240*b924 + 2*b241
     *b312 + 2*b241*b434 - 4*b434 + 2*b242*b243 - 2*b243 + 2*b242*b639 - 4*b639
      + 2*b243*b434 + 2*b244*b356 - 2*b244 - 2*b356 + 2*b244*b533 - 2*b533 - 2*
     b244*b806 + 2*b244*b938 + 2*b245*b731 - 2*b245*b883 + 2*b246*b320 + 2*b246
      - 4*b320 - 2*b246*b745 - 2*b246*b781 - 2*b246*b975 + 2*b247*b320 + 2*b247
     *b683 + 2*b247*b883 + 2*b248*b250 - 4*b248 - 2*b250 + 2*b248*b904 + 2*b248
     *b929 + 2*b248*b947 + 2*b249*b252 - 2*b249*b542 - 2*b542 - 2*b249*b655 + 2
     *b250*b252 + 2*b250*b492 - 4*b492 - 2*b250*b709 - 2*b251*b325 - 2*b325 + 2
     *b251*b544 - 4*b544 - 2*b251*b917 + 2*b252*b325 + 2*b253*b255 - 2*b255 + 2
     *b254*b257 - 4*b257 - 2*b254*b849 + 2*b255*b257 + 2*b255*b325 - 2*b255*
     b546 - 2*b546 + 2*b256*b258 - 2*b258 - 2*b256*b545 - 2*b545 - 2*b256*b949
      + 2*b257*b258 + 2*b257*b662 + 2*b258*b603 - 2*b258*b794 + 2*b259*b260 + 2
     *b259 - 2*b259*b550 - 2*b259*b822 - 2*b259*b997 + 2*b260*b554 + 2*b554 + 2
     *b260*b710 + 2*b261*b782 - 2*b261 + 2*b261*b852 + 2*b261*b866 - 2*b261*
     b897 + 2*b262*b263 - 2*b262*b641 + 2*b263*b455 - 2*b455 - 2*b263*b507 + 2*
     b507 + 2*b264*b337 - 2*b264 + 2*b337 + 2*b264*b455 - 2*b264*b616 + 2*b616
      + 2*b264*b961 + 2*b265*b338 - 2*b338 - 2*b265*b463 + 2*b463 + 2*b265*b787
      - 2*b266*b742 + 2*b266 + 2*b266*b815 - 2*b266*b867 - 2*b266*b1000 + 2*
     b267*b268 - 2*b268 + 2*b267*b869 + 2*b268*b346 - 2*b268*b426 - 2*b426 + 2*
     b268*b472 - 4*b472 + 2*b269*b271 - 4*b271 + 2*b269*b791 + 2*b270*b384 + 2*
     b270*b765 - 2*b270*b988 + 2*b271*b431 + 2*b431 + 2*b271*b472 + 2*b271*b988
      - 2*b272*b273 + 2*b272 + 2*b272*b430 - 4*b430 - 2*b272*b579 - 2*b272*b843
      + 2*b273*b350 - 4*b350 + 2*b273*b988 + 2*b274*b275 + 2*b274*b432 - 2*b432
      + 2*b274*b935 + 2*b275*b350 + 2*b275*b480 - 4*b480 + 2*b276*b277 - 2*b277
      - 2*b276*b678 + 2*b277*b480 + 2*b278*b393 - 2*b278 - 2*b393 + 2*b278*b586
      - 4*b586 - 2*b278*b792 + 2*b278*b945 + 2*b279*b654 - 2*b279*b982 + 2*b280
     *b720 + 2*b280*b831 - 2*b280*b873 - 2*b281*b651 + 4*b281 - 2*b281*b747 - 2
     *b281*b991 - 2*b281*b992 + 2*b282*b361 + 2*b282 - 4*b361 - 2*b282*b731 - 2
     *b282*b793 - 2*b282*b966 + 2*b283*b442 - 2*b283 + 2*b283*b541 - 4*b541 + 2
     *b283*b769 - 2*b283*b992 + 2*b284*b286 - 4*b284 - 4*b286 + 2*b284*b893 + 2
     *b284*b939 + 2*b284*b956 + 2*b285*b288 - 2*b285*b493 - 2*b493 - 2*b285*
     b652 + 2*b286*b288 + 2*b286*b541 + 2*b286*b862 - 2*b287*b367 - 2*b367 + 2*
     b287*b543 - 2*b543 - 2*b287*b904 + 2*b288*b367 + 2*b289*b291 - 2*b291 - 2*
     b289*b748 + 2*b290*b293 - 4*b293 - 2*b290*b598 - 2*b598 + 2*b291*b293 + 2*
     b291*b367 - 2*b291*b930 + 2*b292*b294 - 2*b292*b495 - 2*b495 - 2*b292*b940
      + 2*b293*b294 + 2*b293*b670 + 2*b294*b548 + 2*b295*b296 + 2*b295 - 2*b295
     *b499 - 2*b295*b835 - 2*b295*b1002 + 2*b296*b503 + 2*b503 + 2*b296*b724 + 
     2*b297*b795 - 2*b297 + 2*b297*b837 + 2*b297*b877 - 2*b297*b908 + 2*b298*
     b813 - 2*b298 - 2*b298*b898 + 2*b298*b971 + 2*b298*b1004 + 2*b299*b300 - 2
     *b299*b373 - 2*b373 + 2*b299*b417 - 2*b417 + 2*b300*b302 - 2*b302 + 2*b300
     *b813 + 2*b301*b375 - 2*b375 - 2*b301*b420 + 2*b420 + 2*b301*b774 + 2*b302
     *b420 + 2*b302*b619 - 2*b619 - 2*b302*b933 - 2*b303*b304 + 2*b303 + 2*b304
      - 2*b303*b622 + 2*b622 - 2*b303*b691 + 2*b303*b729 + 2*b304*b305 - 2*b304
     *b878 - 2*b304*b1005 - 2*b305*b729 + 2*b305*b1006 + 2*b306*b307 - 2*b307
      + 2*b307*b384 + 2*b307*b522 - 4*b522 - 2*b307*b1007 + 2*b308*b309 - 4*
     b309 + 2*b308*b778 + 2*b309*b386 + 2*b386 + 2*b309*b522 + 2*b309*b980 - 2*
     b310*b311 + 2*b310 + 2*b310*b385 - 4*b385 - 2*b310*b524 - 2*b310*b829 + 2*
     b311*b388 - 4*b388 + 2*b311*b980 + 2*b312*b313 + 2*b312*b476 - 2*b476 + 2*
     b313*b388 + 2*b313*b529 - 4*b529 + 2*b314*b315 - 2*b315 - 2*b314*b666 + 2*
     b315*b529 + 2*b316*b705 + 2*b316*b819 - 2*b316*b861 - 2*b317*b359 - 2*b317
      + 2*b317*b438 - 2*b438 + 2*b317*b861 + 2*b317*b990 - 2*b318*b647 + 4*b318
      - 2*b318*b757 - 2*b318*b982 - 2*b318*b984 + 2*b319*b397 + 2*b319 - 4*b397
      - 2*b319*b720 - 2*b319*b807 - 2*b319*b956 + 2*b320*b492 + 2*b320*b594 - 4
     *b594 + 2*b321*b322 - 4*b322 + 2*b321*b947 + 2*b321*b966 + 2*b322*b324 + 2
     *b322*b444 + 2*b322*b594 - 2*b323*b403 - 2*b403 + 2*b323*b596 - 2*b596 - 2
     *b323*b893 + 2*b324*b403 + 2*b324*b707 + 2*b325*b327 - 2*b327 + 2*b326*
     b329 - 4*b329 - 2*b326*b848 + 2*b326*b849 + 2*b327*b329 + 2*b327*b403 - 2*
     b327*b918 + 2*b328*b331 - 2*b328*b889 - 2*b328*b931 + 2*b329*b331 + 2*b329
     *b685 + 2*b330*b404 - 2*b330*b497 + 2*b330*b905 + 2*b331*b497 + 2*b332*
     b448 + 2*b448 + 2*b332*b737 + 2*b332*b850 + 2*b333*b334 + 2*b333*b825 - 2*
     b333*b921 - 2*b334*b1010 + 2*b334*b1011 + 2*b335*b336 - 2*b336 - 2*b335*
     b700 + 2*b336*b799 - 2*b336*b909 + 2*b336*b1012 - 2*b337*b676 - 2*b337*
     b740 - 2*b337*b999 + 2*b338*b713 + 2*b338*b898 - 2*b338*b942 - 2*b339*b378
      + 2*b378 + 2*b339*b417 + 2*b339*b762 - 2*b340*b341 + 2*b340 + 2*b341 - 2*
     b340*b703 + 2*b340*b717 - 2*b340*b891 + 2*b341*b342 - 2*b341*b886 - 2*b341
     *b1014 + 2*b342*b468 - 2*b468 - 2*b342*b717 + 2*b343*b345 - 4*b345 + 2*
     b344*b345 - 4*b344 + 2*b344*b468 + 2*b344*b573 + 2*b344*b776 + 2*b345*b428
      + 2*b345*b575 - 4*b575 + 2*b346*b347 - 4*b347 + 2*b346*b766 + 2*b347*b348
      + 2*b348 + 2*b347*b575 + 2*b347*b974 - 2*b348*b349 - 2*b348*b475 - 2*b348
     *b817 + 2*b349*b433 - 4*b433 + 2*b349*b974 + 2*b350*b525 - 2*b525 + 2*b350
     *b638 - 2*b351*b658 + 2*b351*b1015 + 2*b352*b354 - 2*b353*b355 - 2*b355 - 
     2*b353*b660 - 2*b353*b858 + 2*b354*b355 + 2*b354*b584 - 2*b584 + 2*b355*
     b767 + 2*b355*b859 + 2*b356*b358 - 2*b358 - 2*b356*b859 + 2*b356*b991 + 2*
     b357*b696 + 2*b357*b806 - 2*b357*b847 - 2*b358*b395 + 2*b358*b488 - 2*b488
      + 2*b358*b847 - 2*b359*b768 - 2*b359*b976 + 2*b360*b441 + 2*b360 - 4*b441
      - 2*b360*b705 - 2*b360*b820 - 2*b360*b947 + 2*b361*b363 - 2*b363 + 2*b361
     *b541 + 2*b361*b992 + 2*b362*b364 - 4*b364 + 2*b362*b956 + 2*b362*b975 + 2
     *b363*b364 + 2*b363*b441 - 2*b363*b733 + 2*b364*b366 + 2*b364*b401 + 2*
     b365*b400 - 4*b400 - 2*b365*b445 - 2*b445 + 2*b366*b445 + 2*b366*b722 + 2*
     b367*b906 + 2*b368*b758 - 2*b368*b894 - 2*b368*b919 + 2*b369*b407 + 2*b407
      + 2*b369*b750 + 2*b369*b863 + 2*b370*b371 - 2*b370*b449 + 2*b449 + 2*b370
     *b812 + 2*b371*b507 - 2*b371*b1019 + 2*b372*b373 - 2*b372*b712 + 2*b372*
     b972 + 2*b373*b786 + 2*b373*b1020 - 2*b374*b690 + 2*b374*b962 - 2*b374*
     b994 - 2*b375*b377 - 2*b377 + 2*b375*b701 + 2*b375*b909 + 2*b376*b727 + 2*
     b376*b840 - 2*b376*b841 + 2*b377*b841 + 2*b377*b933 + 2*b377*b994 - 2*b378
     *b515 + 2*b378*b942 - 2*b378*b1014 - 2*b379*b380 + 4*b379 - 2*b380 - 2*
     b379*b715 - 2*b379*b717 - 2*b379*b885 + 2*b380*b381 + 2*b380*b886 + 2*b380
     *b1014 + 2*b381*b519 - 2*b519 + 2*b381*b717 + 2*b382*b383 - 4*b383 + 2*
     b383*b472 + 2*b383*b633 - 4*b633 + 2*b383*b1007 + 2*b384*b385 + 2*b385*
     b633 + 2*b385*b965 - 2*b386*b387 - 2*b386*b653 - 2*b386*b803 + 2*b387*b477
      - 2*b477 + 2*b387*b965 + 2*b388*b580 - 4*b580 + 2*b388*b582 - 2*b389*b478
      + 2*b389*b1022 + 2*b390*b1008 - 2*b391*b392 - 2*b392 - 2*b391*b669 - 2*
     b391*b845 + 2*b392*b756 + 2*b392*b846 + 2*b392*b1008 + 2*b393*b394 - 2*
     b394 - 2*b393*b871 + 2*b393*b982 + 2*b394*b535 - 2*b535 + 2*b394*b832 - 2*
     b394*b955 + 2*b395*b590 - 4*b590 - 2*b395*b967 + 2*b396*b491 + 2*b396 - 4*
     b491 - 2*b396*b696 - 2*b396*b832 - 2*b396*b939 + 2*b397*b399 - 2*b399 + 2*
     b397*b594 + 2*b397*b984 + 2*b398*b400 + 2*b398*b966 + 2*b398*b983 + 2*b399
     *b400 + 2*b399*b491 - 2*b399*b722 + 2*b400*b402 - 2*b401*b494 - 2*b494 + 2
     *b402*b494 + 2*b402*b733 + 2*b403*b894 + 2*b404*b406 - 4*b406 + 2*b404*
     b601 - 2*b601 + 2*b405*b406 + 2*b405*b749 + 2*b405*b931 + 2*b406*b606 - 2*
     b606 + 2*b406*b672 - 2*b407*b450 - 2*b407*b784 - 2*b407*b1019 - 2*b408*
     b409 + 2*b408 - 2*b408*b771 + 2*b408*b1019 - 2*b408*b1024 + 2*b409*b410 + 
     2*b410*b453 + 2*b410*b1019 - 2*b411*b413 + 2*b413 - 2*b411*b785 + 2*b412*
     b414 - 4*b414 - 2*b412*b726 + 2*b412*b962 + 2*b413*b414 - 2*b413*b714 - 2*
     b413*b1025 + 2*b414*b416 - 2*b416 + 2*b414*b909 - 2*b415*b702 + 2*b415 - 2
     *b415*b762 + 2*b415*b972 - 2*b415*b986 - 2*b416*b689 + 2*b416*b773 + 2*
     b416*b986 - 2*b417*b419 - 2*b419 + 2*b417*b688 + 2*b418*b715 - 2*b418 + 2*
     b418*b740 + 2*b418*b827 - 2*b418*b828 + 2*b419*b828 + 2*b419*b922 + 2*b419
     *b986 - 2*b420*b464 - 2*b420*b1005 - 2*b421*b422 + 4*b421 - 2*b422 - 2*
     b421*b463 - 2*b421*b727 - 2*b421*b729 + 2*b422*b424 + 2*b422*b878 + 2*b422
     *b1005 - 2*b423*b570 - 2*b570 - 2*b423*b775 - 2*b423*b776 + 2*b424*b570 + 
     2*b424*b729 + 2*b425*b427 - 4*b427 + 2*b426*b427 + 2*b426*b570 + 2*b426*
     b1006 + 2*b427*b429 - 2*b429 + 2*b427*b522 + 2*b428*b430 + 2*b429*b430 + 2
     *b429*b574 - 4*b574 - 2*b429*b645 + 2*b430*b953 - 2*b431*b432 - 2*b431*
     b657 - 2*b431*b791 + 2*b432*b526 - 2*b526 + 2*b432*b953 + 2*b433*b527 + 2*
     b433*b636 - 4*b636 + 2*b433*b638 + 2*b434*b658 + 2*b434*b1026 + 2*b435*
     b1001 - 2*b436*b437 - 2*b436*b682 - 2*b436*b830 + 2*b437*b744 + 2*b437*
     b1001 + 2*b438*b439 - 2*b439 + 2*b438*b780 - 2*b438*b881 + 2*b439*b588 - 2
     *b588 + 2*b439*b820 - 2*b439*b946 + 2*b440*b539 + 2*b440 - 4*b539 - 2*b440
     *b683 - 2*b440*b847 - 2*b440*b929 + 2*b441*b443 - 2*b443 + 2*b441*b976 + 2
     *b442*b596 + 2*b442*b975 + 2*b443*b539 + 2*b443*b596 - 2*b443*b707 - 2*
     b444*b1028 + 2*b445*b889 + 2*b445*b906 + 2*b446*b736 + 2*b446*b940 + 2*
     b446*b1018 - 2*b447*b449 + 2*b447 - 2*b447*b737 + 2*b447*b759 - 2*b447*
     b932 - 2*b448*b504 - 2*b448*b797 - 2*b448*b1010 + 2*b449*b1010 - 2*b449*
     b1031 + 2*b450*b452 + 2*b451*b642 - 2*b451*b985 + 2*b452*b985 + 2*b452*
     b1010 - 2*b453*b853 - 2*b453*b1025 - 2*b454*b798 - 2*b454*b854 + 2*b455*
     b457 - 4*b457 - 2*b455*b738 - 2*b456*b459 - 2*b459 - 2*b456*b699 - 2*b456*
     b701 + 2*b457*b459 + 2*b457*b854 + 2*b457*b898 - 2*b458*b460 - 2*b460 - 2*
     b458*b714 - 2*b458*b774 + 2*b459*b460 + 2*b459*b761 + 2*b460*b462 - 2*b462
      + 2*b460*b978 + 2*b461*b562 - 2*b461 + 2*b562 + 2*b461*b703 + 2*b461*b753
      - 2*b461*b814 + 2*b462*b814 - 2*b462*b840 + 2*b462*b910 + 2*b463*b963 - 2
     *b463*b1000 - 2*b464*b465 - 2*b465 - 2*b464*b741 + 2*b465*b467 + 2*b465*
     b867 + 2*b465*b1000 - 2*b466*b628 - 2*b628 - 2*b466*b789 + 2*b466*b951 + 2
     *b467*b628 + 2*b467*b741 + 2*b468*b470 - 2*b468*b801 + 2*b469*b471 - 4*
     b471 + 2*b470*b471 + 2*b470*b628 + 2*b471*b473 - 4*b473 + 2*b471*b575 + 2*
     b472*b474 + 2*b473*b474 + 2*b473*b632 - 4*b632 + 2*b473*b645 + 2*b474*b944
      - 2*b475*b581 - 2*b581 - 2*b475*b649 + 2*b476*b581 - 2*b476*b777 + 2*b476
     *b944 + 2*b477*b479 + 2*b477*b582 - 2*b477*b657 + 2*b478*b481 + 2*b478*
     b649 + 2*b479*b481 + 2*b479*b581 + 2*b480*b482 - 2*b482 + 2*b480*b666 + 2*
     b481*b482 + 2*b483*b996 - 2*b484*b486 - 2*b484*b695 - 2*b484*b818 - 2*b485
     *b487 - 2*b487 - 2*b485*b654 - 2*b485*b730 + 2*b486*b487 + 2*b486*b996 + 2
     *b487*b489 - 2*b489 + 2*b487*b743 + 2*b488*b490 - 4*b490 + 2*b488*b767 - 2
     *b488*b936 + 2*b489*b490 - 2*b489*b768 + 2*b489*b914 + 2*b490*b807 + 2*
     b490*b946 + 2*b491*b493 + 2*b491*b967 + 2*b492*b543 + 2*b492*b983 + 2*b493
     *b543 + 2*b493*b592 - 4*b592 + 2*b494*b495 + 2*b494*b894 + 2*b495*b1030 + 
     2*b495*b1032 + 2*b496*b498 - 2*b496 - 2*b498 - 2*b496*b723 + 2*b496*b930
      + 2*b496*b1030 - 2*b497*b1009 - 2*b498*b605 + 2*b498*b949 + 2*b498*b1009
      + 2*b499*b500 - 4*b500 - 2*b499*b604 - 2*b604 + 2*b500*b502 - 4*b502 + 2*
     b500*b783 + 2*b500*b1009 - 2*b501*b750 + 4*b501 - 2*b501*b751 - 2*b501*
     b920 - 2*b501*b921 + 2*b502*b672 + 2*b502*b751 + 2*b502*b921 - 2*b503*b555
      - 2*b503*b810 - 2*b503*b1003 + 2*b504*b506 + 2*b504*b611 - 2*b611 + 2*
     b505*b610 + 2*b505*b875 - 2*b505*b977 + 2*b506*b977 + 2*b506*b1003 - 2*
     b507*b866 - 2*b507*b1021 - 2*b508*b511 - 2*b511 - 2*b508*b711 - 2*b508*
     b713 + 2*b509*b511 - 4*b509 + 2*b509*b616 + 2*b509*b839 + 2*b509*b1004 - 2
     *b510*b512 + 2*b510 - 2*b512 + 2*b510*b615 - 4*b615 - 2*b510*b787 - 2*b510
     *b972 + 2*b511*b512 + 2*b511*b753 + 2*b512*b514 - 2*b514 + 2*b512*b973 + 2
     *b513*b618 - 2*b513 + 2*b618 + 2*b513*b691 + 2*b513*b761 - 2*b513*b800 + 2
     *b514*b622 + 2*b514*b800 - 2*b514*b827 - 2*b515*b516 - 2*b516 - 2*b515*
     b754 + 2*b516*b518 + 2*b516*b855 + 2*b516*b995 - 2*b517*b644 - 2*b517*b964
      + 2*b518*b754 + 2*b518*b964 + 2*b519*b521 - 2*b519*b790 + 2*b519*b1007 + 
     2*b520*b631 - 2*b631 - 2*b520*b943 + 2*b521*b631 + 2*b521*b964 + 2*b522*
     b523 - 2*b523 + 2*b523*b677 + 2*b523*b934 - 2*b523*b1034 - 2*b524*b637 - 2
     *b637 + 2*b524*b693 + 2*b525*b637 - 2*b525*b765 + 2*b525*b934 + 2*b526*
     b527 + 2*b526*b528 - 2*b526*b653 - 2*b527*b1027 + 2*b528*b637 + 2*b528*
     b1027 + 2*b529*b530 - 2*b530 + 2*b529*b678 + 2*b530*b1027 + 2*b531*b989 - 
     2*b532*b534 - 2*b532*b659 - 2*b532*b719 + 2*b533*b534 - 2*b533*b804 + 2*
     b533*b989 + 2*b534*b536 - 2*b536 + 2*b535*b537 - 4*b537 + 2*b535*b756 - 2*
     b535*b926 + 2*b536*b537 - 2*b536*b757 + 2*b536*b926 + 2*b537*b793 + 2*b537
     *b955 + 2*b538*b540 - 2*b538 - 2*b540 + 2*b538*b793 - 2*b538*b939 + 2*b538
     *b946 + 2*b539*b542 + 2*b539*b957 + 2*b540*b542 - 2*b540*b661 + 2*b540*
     b872 + 2*b541*b544 + 2*b542*b544 - 2*b543*b1033 + 2*b544*b1033 + 2*b545*
     b848 + 2*b545*b1023 + 2*b545*b1028 + 2*b546*b547 - 4*b547 + 2*b546*b734 + 
     2*b546*b940 + 2*b547*b549 - 2*b549 + 2*b547*b723 + 2*b547*b1023 - 2*b548*
     b919 - 2*b548*b1002 - 2*b549*b550 + 2*b549*b958 + 2*b549*b1002 + 2*b550*
     b552 - 4*b552 + 2*b551*b796 - 2*b551 + 2*b551*b834 + 2*b551*b1018 - 2*b551
     *b1031 + 2*b552*b608 + 2*b608 + 2*b552*b1002 + 2*b552*b1031 + 2*b553*b607
      + 2*b553 - 4*b607 - 2*b553*b759 - 2*b553*b907 - 2*b553*b908 - 2*b554*b610
      - 2*b554*b823 - 2*b554*b998 + 2*b555*b556 - 2*b556 + 2*b555*b557 + 2*b556
     *b811 + 2*b556*b864 - 2*b556*b970 + 2*b557*b970 + 2*b557*b998 + 2*b558*
     b699 + 2*b558*b785 - 2*b558*b826 + 2*b559*b560 - 4*b559 + 2*b560 + 2*b559*
     b561 - 2*b561 + 2*b559*b826 + 2*b559*b1012 - 2*b560*b563 - 2*b563 - 2*b560
     *b618 - 2*b560*b962 + 2*b561*b563 - 2*b561*b739 + 2*b561*b740 - 2*b562*
     b564 - 2*b564 - 2*b562*b616 - 2*b562*b663 + 2*b563*b564 + 2*b563*b963 + 2*
     b564*b565 - 2*b565 + 2*b564*b891 - 2*b565*b692 + 2*b565*b788 + 2*b565*b987
      - 2*b566*b567 - 2*b567 - 2*b566*b763 - 2*b566*b841 + 2*b567*b569 + 2*b567
     *b842 + 2*b567*b987 - 2*b568*b951 - 2*b568*b952 + 2*b569*b763 + 2*b569*
     b952 + 2*b570*b572 + 2*b571*b574 - 2*b571*b952 + 2*b572*b574 + 2*b572*b952
      + 2*b573*b576 + 2*b574*b576 + 2*b575*b577 - 4*b577 + 2*b576*b577 + 2*b577
     *b578 - 2*b578 + 2*b577*b693 + 2*b578*b580 - 2*b578*b843 + 2*b578*b923 + 2
     *b579*b677 - 2*b579*b679 + 2*b580*b679 + 2*b580*b765 + 2*b581*b583 - 2*
     b582*b640 + 2*b640 + 2*b583*b640 + 2*b583*b679 + 2*b584*b981 - 2*b585*b587
      - 2*b585*b668 - 2*b585*b704 + 2*b586*b587 + 2*b586*b804 + 2*b586*b981 + 2
     *b587*b589 - 2*b589 + 2*b588*b590 + 2*b588*b744 - 2*b588*b914 + 2*b589*
     b590 - 2*b589*b747 + 2*b589*b936 + 2*b590*b781 + 2*b591*b593 - 2*b591 - 2*
     b593 + 2*b591*b781 - 2*b591*b929 + 2*b591*b955 + 2*b592*b595 + 2*b592*b860
      + 2*b592*b948 + 2*b593*b595 - 2*b593*b655 + 2*b593*b882 + 2*b594*b597 - 4
     *b597 + 2*b595*b597 - 2*b596*b1029 + 2*b597*b748 + 2*b597*b1029 + 2*b598*
     b599 + 2*b598*b862 + 2*b598*b1029 + 2*b599*b1017 + 2*b599*b1032 + 2*b600*
     b602 - 4*b602 + 2*b600*b949 + 2*b601*b604 + 2*b601*b671 - 2*b601*b849 + 2*
     b602*b604 + 2*b602*b735 + 2*b602*b1017 - 2*b603*b931 - 2*b603*b997 + 2*
     b604*b997 + 2*b605*b607 - 2*b605*b874 + 2*b606*b809 + 2*b606*b821 - 2*b606
     *b1024 + 2*b607*b997 + 2*b607*b1024 - 2*b608*b770 - 2*b608*b896 - 2*b608*
     b897 - 2*b609*b642 - 2*b609*b993 + 2*b610*b612 + 2*b611*b798 + 2*b611*b851
      - 2*b611*b960 + 2*b612*b960 + 2*b612*b993 + 2*b613*b614 - 2*b613 - 2*b614
      + 2*b613*b960 - 2*b613*b1004 + 2*b613*b1011 + 2*b614*b615 - 2*b614*b665
      + 2*b614*b838 + 2*b615*b617 + 2*b615*b1020 - 2*b616*b619 + 2*b617*b619 + 
     2*b617*b739 - 2*b618*b621 - 2*b621 - 2*b618*b674 + 2*b619*b621 - 2*b620*
     b623 + 2*b620 - 2*b623 - 2*b620*b703 - 2*b620*b773 + 2*b620*b774 + 2*b621*
     b623 + 2*b621*b885 - 2*b622*b978 - 2*b622*b979 + 2*b623*b624 + 2*b624 + 2*
     b623*b979 - 2*b624*b625 - 2*b625 - 2*b624*b775 - 2*b624*b828 + 2*b625*b626
      + 2*b625*b627 + 2*b625*b979 - 2*b626*b943 + 2*b627*b775 + 2*b627*b943 + 2
     *b628*b630 + 2*b629*b632 - 2*b629*b964 + 2*b630*b632 + 2*b630*b943 + 2*
     b631*b633 - 2*b631*b1034 + 2*b632*b1034 + 2*b633*b634 + 2*b634*b635 - 2*
     b635 + 2*b634*b1034 + 2*b635*b636 - 2*b635*b856 + 2*b635*b911 + 2*b636*
     b667 + 2*b636*b777 + 2*b637*b639 - 2*b638*b1016 + 2*b639*b667 + 2*b639*
     b1016 - 2*b640*b1022 - 2*b640*b1035 - 2*b641*b642 + 2*b641*b785 - 2*b643*
     b644 + 2*b643*b776 - 2*b645*b718 - 2*b646*b647 - 2*b646*b652 + 2*b646*b655
      + 2*b647*b745 + 2*b649*b650 - 2*b649*b658 - 2*b650*b667 + 2*b651*b731 + 2
     *b652*b707 + 2*b653*b718 - 2*b654*b831 + 2*b655*b722 + 2*b656*b794 + 2*
     b659*b660 - 2*b659*b819 - 2*b660*b744 + 2*b661*b733 + 2*b662*b808 - 2*b663
     *b664 + 2*b663*b665 + 2*b663*b827 - 2*b664*b799 - 2*b665*b813 - 2*b666*
     b667 + 2*b668*b669 - 2*b668*b806 - 2*b669*b756 - 2*b670*b671 - 2*b671*b969
      - 2*b672*b673 - 2*b672*b823 + 2*b673*b932 - 2*b673*b941 - 2*b674*b675 + 2
     *b674*b676 + 2*b674*b840 + 2*b675*b725 - 2*b675*b786 - 2*b676*b826 - 2*
     b677*b870 - 2*b677*b935 - 2*b678*b679 - 2*b680*b681 + 2*b680*b682 - 2*b680
     *b792 - 2*b681*b694 - 2*b682*b767 - 2*b683*b684 + 2*b684*b792 + 2*b684*
     b831 - 2*b684*b832 - 2*b685*b686 + 2*b686*b958 - 2*b687*b810 - 2*b688*b689
      + 2*b688*b690 - 2*b688*b787 + 2*b689*b711 - 2*b690*b839 - 2*b691*b692 + 2
     *b691*b742 + 2*b692*b773 + 2*b692*b787 - 2*b693*b879 - 2*b693*b924 + 2*
     b694*b818 + 2*b694*b892 - 2*b694*b928 - 2*b695*b780 - 2*b696*b697 + 2*b696
     *b860 + 2*b697*b779 + 2*b697*b819 - 2*b697*b820 - 2*b698*b797 - 2*b699*
     b700 + 2*b701*b702 - 2*b701*b774 - 2*b702*b854 + 2*b703*b755 + 2*b704*b830
      + 2*b704*b888 - 2*b704*b938 - 2*b705*b706 + 2*b705*b872 + 2*b706*b806 - 2
     *b706*b807 + 2*b708*b709 - 2*b708*b734 - 2*b709*b848 - 2*b710*b784 - 2*
     b711*b712 + 2*b713*b714 - 2*b713*b762 - 2*b715*b716 + 2*b715*b764 - 2*b716
     *b761 + 2*b716*b762 + 2*b718*b879 - 2*b718*b900 + 2*b719*b845 - 2*b719*
     b945 - 2*b720*b721 + 2*b720*b882 + 2*b721*b792 - 2*b721*b793 - 2*b724*b771
      - 2*b725*b726 - 2*b725*b739 - 2*b727*b728 - 2*b728*b753 + 2*b730*b858 - 2
     *b730*b954 - 2*b731*b732 + 2*b732*b743 + 2*b732*b779 - 2*b732*b781 - 2*
     b734*b918 - 2*b735*b736 + 2*b736*b918 - 2*b736*b1030 + 2*b741*b742 - 2*
     b741*b815 - 2*b742*b910 - 2*b743*b744 - 2*b743*b746 - 2*b745*b746 + 2*b745
     *b747 + 2*b749*b905 - 2*b749*b1023 - 2*b751*b875 - 2*b752*b1004 - 2*b753*
     b813 + 2*b754*b755 - 2*b754*b801 - 2*b755*b922 + 2*b758*b895 - 2*b758*
     b1017 - 2*b759*b864 + 2*b760*b811 - 2*b760*b1012 - 2*b761*b799 + 2*b763*
     b764 - 2*b763*b790 - 2*b764*b933 - 2*b765*b766 - 2*b766*b980 - 2*b769*b983
      + 2*b770*b771 - 2*b770*b851 + 2*b771*b932 + 2*b772*b798 - 2*b772*b1020 - 
     2*b773*b786 - 2*b776*b816 - 2*b777*b778 - 2*b778*b974 - 2*b779*b780 + 2*
     b780*b954 - 2*b782*b783 + 2*b782*b784 - 2*b782*b836 - 2*b783*b890 + 2*b784
     *b920 + 2*b786*b994 - 2*b788*b814 + 2*b789*b790 - 2*b789*b802 - 2*b791*
     b965 - 2*b794*b834 - 2*b795*b796 + 2*b795*b797 - 2*b795*b824 - 2*b796*b884
      + 2*b797*b907 + 2*b799*b999 + 2*b800*b995 - 2*b803*b953 - 2*b804*b805 + 2
     *b807*b948 - 2*b808*b821 - 2*b809*b874 + 2*b810*b896 - 2*b811*b812 - 2*
     b811*b838 + 2*b814*b1000 - 2*b815*b1006 - 2*b817*b944 + 2*b820*b957 - 2*
     b821*b863 + 2*b822*b863 + 2*b823*b890 - 2*b824*b825 + 2*b826*b1013 - 2*
     b827*b898 + 2*b828*b1005 - 2*b829*b934 + 2*b832*b967 + 2*b833*b959 - 2*
     b834*b850 + 2*b835*b850 - 2*b836*b837 - 2*b838*b839 + 2*b839*b1021 - 2*
     b840*b909 + 2*b841*b1014 - 2*b844*b887 + 2*b846*b915 - 2*b846*b990 + 2*
     b847*b976 + 2*b848*b1033 - 2*b850*b1009 - 2*b851*b852 - 2*b853*b993 + 2*
     b854*b1025 + 2*b856*b868 - 2*b857*b880 + 2*b859*b927 - 2*b860*b861 + 2*
     b861*b984 - 2*b862*b1032 - 2*b863*b1018 - 2*b864*b865 - 2*b866*b998 - 2*
     b868*b869 - 2*b868*b870 + 2*b871*b937 + 2*b871*b954 - 2*b872*b873 + 2*b873
     *b982 + 2*b873*b992 - 2*b875*b876 - 2*b877*b1003 - 2*b877*b1011 + 2*b881*
     b945 - 2*b882*b883 + 2*b883*b991 + 2*b885*b973 - 2*b885*b995 - 2*b888*b981
      + 2*b889*b1028 - 2*b889*b1030 + 2*b891*b978 - 2*b891*b987 - 2*b892*b989
      - 2*b894*b1023 + 2*b895*b919 - 2*b895*b1018 + 2*b897*b993 + 2*b897*b1024
      + 2*b899*b900 - 2*b899*b901 - 2*b900*b965 - 2*b902*b996 - 2*b903*b904 - 2
     *b905*b906 - 2*b906*b1017 + 2*b908*b998 + 2*b908*b1031 - 2*b910*b973 - 2*
     b911*b944 - 2*b912*b974 - 2*b913*b1001 - 2*b914*b915 + 2*b914*b916 - 2*
     b916*b981 + 2*b918*b919 + 2*b921*b1003 - 2*b922*b963 - 2*b923*b934 - 2*
     b924*b980 - 2*b925*b1008 - 2*b926*b927 + 2*b926*b928 - 2*b928*b989 + 2*
     b930*b931 - 2*b935*b988 - 2*b936*b937 + 2*b936*b938 - 2*b938*b996 - 2*b940
     *b941 + 2*b942*b999 - 2*b945*b1001 - 2*b946*b948 - 2*b947*b948 - 2*b949*
     b950 - 2*b954*b1008 - 2*b955*b957 - 2*b956*b957 - 2*b958*b959 - 2*b961*
     b962 - 2*b963*b999 - 2*b966*b967 - 2*b968*b969 + 2*b970*b1013 - 2*b971*
     b972 - 2*b973*b994 - 2*b975*b976 + 2*b977*b1021 - 2*b978*b986 - 2*b983*
     b984 + 2*b985*b1025 - 2*b990*b991 - 2*b1006*b1007 - 2*b1011*b1013 - 2*
     b1012*b1013 - 2*b1015*b1016 + 2*b1016*b1035 - 2*b1020*b1021 - 2*b1026*
     b1027 - 2*b1028*b1029 - 2*b1032*b1033 + 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: 2019-07-12 Git hash: 46a7b4f1
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