MINLPLib

A Library of Mixed-Integer and Continuous Nonlinear Programming Instances

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Instance nuclear25a

Formats ams gms lp mod nl osil pip py
Primal Bounds (infeas ≤ 1e-08)
-1.12019735 p1 ( gdx sol )
(infeas: 8e-15)
-1.12039136 p2 ( gdx sol )
(infeas: 7e-14)
-1.12050522 p3 ( gdx sol )
(infeas: 6e-12)
-1.12070495 p4 ( gdx sol )
(infeas: 5e-14)
Other points (infeas > 1e-08)  
Dual Bounds
-10.52360000 (ANTIGONE)
-12.27216775 (BARON)
-12.32073100 (COUENNE)
-12.32067157 (GUROBI)
-12.32070962 (LINDO)
-12.32026435 (SCIP)
References Quist, Arie J, van Geemert, R, Hoogenboom, J E, Illes, Tibor, de Klerk, E, Roos, C, and Terlaky, Tamas, Finding Optimal Nuclear Reactor Core Reload Patterns Using Nonlinear Optimization and Search Heuristics, Engineering Optimization, 32:2, 1999, 143-176.
Source modified MacMINLP model c-reload-q.mod with c-reload-q-25.dat
Application Nuclear Reactor Core Reload Pattern
Added to library 01 May 2001
Problem type MBQCP
#Variables 1058
#Binary Variables 650
#Integer Variables 0
#Nonlinear Variables 1033
#Nonlinear Binary Variables 625
#Nonlinear Integer Variables 0
Objective Sense min
Objective type linear
Objective curvature linear
#Nonzeros in Objective 1
#Nonlinear Nonzeros in Objective 0
#Constraints 659
#Linear Constraints 51
#Quadratic Constraints 608
#Polynomial Constraints 0
#Signomial Constraints 0
#General Nonlinear Constraints 0
Operands in Gen. Nonlin. Functions  
Constraints curvature indefinite
#Nonzeros in Jacobian 6765
#Nonlinear Nonzeros in Jacobian 5240
#Nonzeros in (Upper-Left) Hessian of Lagrangian 2050
#Nonzeros in Diagonal of Hessian of Lagrangian 0
#Blocks in Hessian of Lagrangian 8
Minimal blocksize in Hessian of Lagrangian 51
Maximal blocksize in Hessian of Lagrangian 676
Average blocksize in Hessian of Lagrangian 129.125
#Semicontinuities 0
#Nonlinear Semicontinuities 0
#SOS type 1 0
#SOS type 2 0
Minimal coefficient 9.0000e-04
Maximal coefficient 1.2000e+00
Infeasibility of initial point 0.2
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
*        660      435        0      225        0        0        0        0
*  
*  Variable counts
*                   x        b        i      s1s      s2s       sc       si
*      Total     cont   binary  integer     sos1     sos2    scont     sint
*       1059      409      650        0        0        0        0        0
*  FX      0
*  
*  Nonzero counts
*      Total    const       NL      DLL
*       6767     1527     5240        0
*
*  Solve m using MINLP minimizing objvar;


Variables  x1,x2,x3,x4,x5,x6,x7,x8,x9,x10,x11,x12,x13,x14,x15,x16,x17,x18,x19
          ,x20,x21,x22,x23,x24,x25,x26,x27,x28,x29,x30,x31,x32,x33,x34,x35,x36
          ,x37,x38,x39,x40,x41,x42,x43,x44,x45,x46,x47,x48,x49,x50,x51,x52,x53
          ,x54,x55,x56,x57,x58,x59,x60,x61,x62,x63,x64,x65,x66,x67,x68,x69,x70
          ,x71,x72,x73,x74,x75,x76,x77,x78,x79,x80,x81,x82,x83,x84,x85,x86,x87
          ,x88,x89,x90,x91,x92,x93,x94,x95,x96,x97,x98,x99,x100,x101,x102,x103
          ,x104,x105,x106,x107,x108,x109,x110,x111,x112,x113,x114,x115,x116
          ,x117,x118,x119,x120,x121,x122,x123,x124,x125,x126,x127,x128,x129
          ,x130,x131,x132,x133,x134,x135,x136,x137,x138,x139,x140,x141,x142
          ,x143,x144,x145,x146,x147,x148,x149,x150,x151,x152,x153,x154,x155
          ,x156,x157,x158,x159,x160,x161,x162,x163,x164,x165,x166,x167,x168
          ,x169,x170,x171,x172,x173,x174,x175,x176,x177,x178,x179,x180,x181
          ,x182,x183,x184,x185,x186,x187,x188,x189,x190,x191,x192,x193,x194
          ,x195,x196,x197,x198,x199,x200,x201,x202,x203,x204,x205,x206,x207
          ,x208,x209,x210,x211,x212,x213,x214,x215,x216,x217,x218,x219,x220
          ,x221,x222,x223,x224,x225,x226,x227,x228,x229,x230,x231,x232,x233
          ,x234,x235,x236,x237,x238,x239,x240,x241,x242,x243,x244,x245,x246
          ,x247,x248,x249,x250,x251,x252,x253,x254,x255,x256,x257,x258,x259
          ,x260,x261,x262,x263,x264,x265,x266,x267,x268,x269,x270,x271,x272
          ,x273,x274,x275,x276,x277,x278,x279,x280,x281,x282,x283,x284,x285
          ,x286,x287,x288,x289,x290,x291,x292,x293,x294,x295,x296,x297,x298
          ,x299,x300,x301,x302,x303,x304,x305,x306,x307,x308,x309,x310,x311
          ,x312,x313,x314,x315,x316,x317,x318,x319,x320,x321,x322,x323,x324
          ,x325,x326,x327,x328,x329,x330,x331,x332,x333,x334,x335,x336,x337
          ,x338,x339,x340,x341,x342,x343,x344,x345,x346,x347,x348,x349,x350
          ,x351,x352,x353,x354,x355,x356,x357,x358,x359,x360,x361,x362,x363
          ,x364,x365,x366,x367,x368,x369,x370,x371,x372,x373,x374,x375,x376
          ,x377,x378,x379,x380,x381,x382,x383,x384,x385,x386,x387,x388,x389
          ,x390,x391,x392,x393,x394,x395,x396,x397,x398,x399,x400,x401,x402
          ,x403,x404,x405,x406,x407,x408,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,b1036,b1037,b1038,b1039,b1040,b1041,b1042,b1043,b1044
          ,b1045,b1046,b1047,b1048,b1049,b1050,b1051,b1052,b1053,b1054,b1055
          ,b1056,b1057,b1058,objvar;

Positive Variables  x401,x402,x403,x404,x405,x406,x407,x408;

Binary Variables  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,b1036,b1037
          ,b1038,b1039,b1040,b1041,b1042,b1043,b1044,b1045,b1046,b1047,b1048
          ,b1049,b1050,b1051,b1052,b1053,b1054,b1055,b1056,b1057,b1058;

Equations  e1,e2,e3,e4,e5,e6,e7,e8,e9,e10,e11,e12,e13,e14,e15,e16,e17,e18,e19
          ,e20,e21,e22,e23,e24,e25,e26,e27,e28,e29,e30,e31,e32,e33,e34,e35,e36
          ,e37,e38,e39,e40,e41,e42,e43,e44,e45,e46,e47,e48,e49,e50,e51,e52,e53
          ,e54,e55,e56,e57,e58,e59,e60,e61,e62,e63,e64,e65,e66,e67,e68,e69,e70
          ,e71,e72,e73,e74,e75,e76,e77,e78,e79,e80,e81,e82,e83,e84,e85,e86,e87
          ,e88,e89,e90,e91,e92,e93,e94,e95,e96,e97,e98,e99,e100,e101,e102,e103
          ,e104,e105,e106,e107,e108,e109,e110,e111,e112,e113,e114,e115,e116
          ,e117,e118,e119,e120,e121,e122,e123,e124,e125,e126,e127,e128,e129
          ,e130,e131,e132,e133,e134,e135,e136,e137,e138,e139,e140,e141,e142
          ,e143,e144,e145,e146,e147,e148,e149,e150,e151,e152,e153,e154,e155
          ,e156,e157,e158,e159,e160,e161,e162,e163,e164,e165,e166,e167,e168
          ,e169,e170,e171,e172,e173,e174,e175,e176,e177,e178,e179,e180,e181
          ,e182,e183,e184,e185,e186,e187,e188,e189,e190,e191,e192,e193,e194
          ,e195,e196,e197,e198,e199,e200,e201,e202,e203,e204,e205,e206,e207
          ,e208,e209,e210,e211,e212,e213,e214,e215,e216,e217,e218,e219,e220
          ,e221,e222,e223,e224,e225,e226,e227,e228,e229,e230,e231,e232,e233
          ,e234,e235,e236,e237,e238,e239,e240,e241,e242,e243,e244,e245,e246
          ,e247,e248,e249,e250,e251,e252,e253,e254,e255,e256,e257,e258,e259
          ,e260,e261,e262,e263,e264,e265,e266,e267,e268,e269,e270,e271,e272
          ,e273,e274,e275,e276,e277,e278,e279,e280,e281,e282,e283,e284,e285
          ,e286,e287,e288,e289,e290,e291,e292,e293,e294,e295,e296,e297,e298
          ,e299,e300,e301,e302,e303,e304,e305,e306,e307,e308,e309,e310,e311
          ,e312,e313,e314,e315,e316,e317,e318,e319,e320,e321,e322,e323,e324
          ,e325,e326,e327,e328,e329,e330,e331,e332,e333,e334,e335,e336,e337
          ,e338,e339,e340,e341,e342,e343,e344,e345,e346,e347,e348,e349,e350
          ,e351,e352,e353,e354,e355,e356,e357,e358,e359,e360,e361,e362,e363
          ,e364,e365,e366,e367,e368,e369,e370,e371,e372,e373,e374,e375,e376
          ,e377,e378,e379,e380,e381,e382,e383,e384,e385,e386,e387,e388,e389
          ,e390,e391,e392,e393,e394,e395,e396,e397,e398,e399,e400,e401,e402
          ,e403,e404,e405,e406,e407,e408,e409,e410,e411,e412,e413,e414,e415
          ,e416,e417,e418,e419,e420,e421,e422,e423,e424,e425,e426,e427,e428
          ,e429,e430,e431,e432,e433,e434,e435,e436,e437,e438,e439,e440,e441
          ,e442,e443,e444,e445,e446,e447,e448,e449,e450,e451,e452,e453,e454
          ,e455,e456,e457,e458,e459,e460,e461,e462,e463,e464,e465,e466,e467
          ,e468,e469,e470,e471,e472,e473,e474,e475,e476,e477,e478,e479,e480
          ,e481,e482,e483,e484,e485,e486,e487,e488,e489,e490,e491,e492,e493
          ,e494,e495,e496,e497,e498,e499,e500,e501,e502,e503,e504,e505,e506
          ,e507,e508,e509,e510,e511,e512,e513,e514,e515,e516,e517,e518,e519
          ,e520,e521,e522,e523,e524,e525,e526,e527,e528,e529,e530,e531,e532
          ,e533,e534,e535,e536,e537,e538,e539,e540,e541,e542,e543,e544,e545
          ,e546,e547,e548,e549,e550,e551,e552,e553,e554,e555,e556,e557,e558
          ,e559,e560,e561,e562,e563,e564,e565,e566,e567,e568,e569,e570,e571
          ,e572,e573,e574,e575,e576,e577,e578,e579,e580,e581,e582,e583,e584
          ,e585,e586,e587,e588,e589,e590,e591,e592,e593,e594,e595,e596,e597
          ,e598,e599,e600,e601,e602,e603,e604,e605,e606,e607,e608,e609,e610
          ,e611,e612,e613,e614,e615,e616,e617,e618,e619,e620,e621,e622,e623
          ,e624,e625,e626,e627,e628,e629,e630,e631,e632,e633,e634,e635,e636
          ,e637,e638,e639,e640,e641,e642,e643,e644,e645,e646,e647,e648,e649
          ,e650,e651,e652,e653,e654,e655,e656,e657,e658,e659,e660;


e1..  - x408 - objvar =E= 0;

e2.. -(b434*x208 + b435*x216 + b436*x224 + b437*x232 + b438*x240 + b439*x248 + 
     b440*x256 + b441*x264 + b442*x272 + b443*x280 + b444*x288 + b445*x296 + 
     b446*x304 + b447*x312 + b448*x320 + b449*x328 + b450*x336 + b451*x344 + 
     b452*x352 + b453*x360 + b454*x368 + b455*x376 + b456*x384 + b457*x392 + 
     b458*x400) + x201 - 1.2*b409 =E= 0;

e3.. -(b459*x208 + b460*x216 + b461*x224 + b462*x232 + b463*x240 + b464*x248 + 
     b465*x256 + b466*x264 + b467*x272 + b468*x280 + b469*x288 + b470*x296 + 
     b471*x304 + b472*x312 + b473*x320 + b474*x328 + b475*x336 + b476*x344 + 
     b477*x352 + b478*x360 + b479*x368 + b480*x376 + b481*x384 + b482*x392 + 
     b483*x400) + x209 - 1.2*b410 =E= 0;

e4.. -(b484*x208 + b485*x216 + b486*x224 + b487*x232 + b488*x240 + b489*x248 + 
     b490*x256 + b491*x264 + b492*x272 + b493*x280 + b494*x288 + b495*x296 + 
     b496*x304 + b497*x312 + b498*x320 + b499*x328 + b500*x336 + b501*x344 + 
     b502*x352 + b503*x360 + b504*x368 + b505*x376 + b506*x384 + b507*x392 + 
     b508*x400) + x217 - 1.2*b411 =E= 0;

e5.. -(b509*x208 + b510*x216 + b511*x224 + b512*x232 + b513*x240 + b514*x248 + 
     b515*x256 + b516*x264 + b517*x272 + b518*x280 + b519*x288 + b520*x296 + 
     b521*x304 + b522*x312 + b523*x320 + b524*x328 + b525*x336 + b526*x344 + 
     b527*x352 + b528*x360 + b529*x368 + b530*x376 + b531*x384 + b532*x392 + 
     b533*x400) + x225 - 1.2*b412 =E= 0;

e6.. -(b534*x208 + b535*x216 + b536*x224 + b537*x232 + b538*x240 + b539*x248 + 
     b540*x256 + b541*x264 + b542*x272 + b543*x280 + b544*x288 + b545*x296 + 
     b546*x304 + b547*x312 + b548*x320 + b549*x328 + b550*x336 + b551*x344 + 
     b552*x352 + b553*x360 + b554*x368 + b555*x376 + b556*x384 + b557*x392 + 
     b558*x400) + x233 - 1.2*b413 =E= 0;

e7.. -(b559*x208 + b560*x216 + b561*x224 + b562*x232 + b563*x240 + b564*x248 + 
     b565*x256 + b566*x264 + b567*x272 + b568*x280 + b569*x288 + b570*x296 + 
     b571*x304 + b572*x312 + b573*x320 + b574*x328 + b575*x336 + b576*x344 + 
     b577*x352 + b578*x360 + b579*x368 + b580*x376 + b581*x384 + b582*x392 + 
     b583*x400) + x241 - 1.2*b414 =E= 0;

e8.. -(b584*x208 + b585*x216 + b586*x224 + b587*x232 + b588*x240 + b589*x248 + 
     b590*x256 + b591*x264 + b592*x272 + b593*x280 + b594*x288 + b595*x296 + 
     b596*x304 + b597*x312 + b598*x320 + b599*x328 + b600*x336 + b601*x344 + 
     b602*x352 + b603*x360 + b604*x368 + b605*x376 + b606*x384 + b607*x392 + 
     b608*x400) + x249 - 1.2*b415 =E= 0;

e9.. -(b609*x208 + b610*x216 + b611*x224 + b612*x232 + b613*x240 + b614*x248 + 
     b615*x256 + b616*x264 + b617*x272 + b618*x280 + b619*x288 + b620*x296 + 
     b621*x304 + b622*x312 + b623*x320 + b624*x328 + b625*x336 + b626*x344 + 
     b627*x352 + b628*x360 + b629*x368 + b630*x376 + b631*x384 + b632*x392 + 
     b633*x400) + x257 - 1.2*b416 =E= 0;

e10.. -(b634*x208 + b635*x216 + b636*x224 + b637*x232 + b638*x240 + b639*x248
       + b640*x256 + b641*x264 + b642*x272 + b643*x280 + b644*x288 + b645*x296
       + b646*x304 + b647*x312 + b648*x320 + b649*x328 + b650*x336 + b651*x344
       + b652*x352 + b653*x360 + b654*x368 + b655*x376 + b656*x384 + b657*x392
       + b658*x400) + x265 - 1.2*b417 =E= 0;

e11.. -(b659*x208 + b660*x216 + b661*x224 + b662*x232 + b663*x240 + b664*x248
       + b665*x256 + b666*x264 + b667*x272 + b668*x280 + b669*x288 + b670*x296
       + b671*x304 + b672*x312 + b673*x320 + b674*x328 + b675*x336 + b676*x344
       + b677*x352 + b678*x360 + b679*x368 + b680*x376 + b681*x384 + b682*x392
       + b683*x400) + x273 - 1.2*b418 =E= 0;

e12.. -(b684*x208 + b685*x216 + b686*x224 + b687*x232 + b688*x240 + b689*x248
       + b690*x256 + b691*x264 + b692*x272 + b693*x280 + b694*x288 + b695*x296
       + b696*x304 + b697*x312 + b698*x320 + b699*x328 + b700*x336 + b701*x344
       + b702*x352 + b703*x360 + b704*x368 + b705*x376 + b706*x384 + b707*x392
       + b708*x400) + x281 - 1.2*b419 =E= 0;

e13.. -(b709*x208 + b710*x216 + b711*x224 + b712*x232 + b713*x240 + b714*x248
       + b715*x256 + b716*x264 + b717*x272 + b718*x280 + b719*x288 + b720*x296
       + b721*x304 + b722*x312 + b723*x320 + b724*x328 + b725*x336 + b726*x344
       + b727*x352 + b728*x360 + b729*x368 + b730*x376 + b731*x384 + b732*x392
       + b733*x400) + x289 - 1.2*b420 =E= 0;

e14.. -(b734*x208 + b735*x216 + b736*x224 + b737*x232 + b738*x240 + b739*x248
       + b740*x256 + b741*x264 + b742*x272 + b743*x280 + b744*x288 + b745*x296
       + b746*x304 + b747*x312 + b748*x320 + b749*x328 + b750*x336 + b751*x344
       + b752*x352 + b753*x360 + b754*x368 + b755*x376 + b756*x384 + b757*x392
       + b758*x400) + x297 - 1.2*b421 =E= 0;

e15.. -(b759*x208 + b760*x216 + b761*x224 + b762*x232 + b763*x240 + b764*x248
       + b765*x256 + b766*x264 + b767*x272 + b768*x280 + b769*x288 + b770*x296
       + b771*x304 + b772*x312 + b773*x320 + b774*x328 + b775*x336 + b776*x344
       + b777*x352 + b778*x360 + b779*x368 + b780*x376 + b781*x384 + b782*x392
       + b783*x400) + x305 - 1.2*b422 =E= 0;

e16.. -(b784*x208 + b785*x216 + b786*x224 + b787*x232 + b788*x240 + b789*x248
       + b790*x256 + b791*x264 + b792*x272 + b793*x280 + b794*x288 + b795*x296
       + b796*x304 + b797*x312 + b798*x320 + b799*x328 + b800*x336 + b801*x344
       + b802*x352 + b803*x360 + b804*x368 + b805*x376 + b806*x384 + b807*x392
       + b808*x400) + x313 - 1.2*b423 =E= 0;

e17.. -(b809*x208 + b810*x216 + b811*x224 + b812*x232 + b813*x240 + b814*x248
       + b815*x256 + b816*x264 + b817*x272 + b818*x280 + b819*x288 + b820*x296
       + b821*x304 + b822*x312 + b823*x320 + b824*x328 + b825*x336 + b826*x344
       + b827*x352 + b828*x360 + b829*x368 + b830*x376 + b831*x384 + b832*x392
       + b833*x400) + x321 - 1.2*b424 =E= 0;

e18.. -(b834*x208 + b835*x216 + b836*x224 + b837*x232 + b838*x240 + b839*x248
       + b840*x256 + b841*x264 + b842*x272 + b843*x280 + b844*x288 + b845*x296
       + b846*x304 + b847*x312 + b848*x320 + b849*x328 + b850*x336 + b851*x344
       + b852*x352 + b853*x360 + b854*x368 + b855*x376 + b856*x384 + b857*x392
       + b858*x400) + x329 - 1.2*b425 =E= 0;

e19.. -(b859*x208 + b860*x216 + b861*x224 + b862*x232 + b863*x240 + b864*x248
       + b865*x256 + b866*x264 + b867*x272 + b868*x280 + b869*x288 + b870*x296
       + b871*x304 + b872*x312 + b873*x320 + b874*x328 + b875*x336 + b876*x344
       + b877*x352 + b878*x360 + b879*x368 + b880*x376 + b881*x384 + b882*x392
       + b883*x400) + x337 - 1.2*b426 =E= 0;

e20.. -(b884*x208 + b885*x216 + b886*x224 + b887*x232 + b888*x240 + b889*x248
       + b890*x256 + b891*x264 + b892*x272 + b893*x280 + b894*x288 + b895*x296
       + b896*x304 + b897*x312 + b898*x320 + b899*x328 + b900*x336 + b901*x344
       + b902*x352 + b903*x360 + b904*x368 + b905*x376 + b906*x384 + b907*x392
       + b908*x400) + x345 - 1.2*b427 =E= 0;

e21.. -(b909*x208 + b910*x216 + b911*x224 + b912*x232 + b913*x240 + b914*x248
       + b915*x256 + b916*x264 + b917*x272 + b918*x280 + b919*x288 + b920*x296
       + b921*x304 + b922*x312 + b923*x320 + b924*x328 + b925*x336 + b926*x344
       + b927*x352 + b928*x360 + b929*x368 + b930*x376 + b931*x384 + b932*x392
       + b933*x400) + x353 - 1.2*b428 =E= 0;

e22.. -(b934*x208 + b935*x216 + b936*x224 + b937*x232 + b938*x240 + b939*x248
       + b940*x256 + b941*x264 + b942*x272 + b943*x280 + b944*x288 + b945*x296
       + b946*x304 + b947*x312 + b948*x320 + b949*x328 + b950*x336 + b951*x344
       + b952*x352 + b953*x360 + b954*x368 + b955*x376 + b956*x384 + b957*x392
       + b958*x400) + x361 - 1.2*b429 =E= 0;

e23.. -(b959*x208 + b960*x216 + b961*x224 + b962*x232 + b963*x240 + b964*x248
       + b965*x256 + b966*x264 + b967*x272 + b968*x280 + b969*x288 + b970*x296
       + b971*x304 + b972*x312 + b973*x320 + b974*x328 + b975*x336 + b976*x344
       + b977*x352 + b978*x360 + b979*x368 + b980*x376 + b981*x384 + b982*x392
       + b983*x400) + x369 - 1.2*b430 =E= 0;

e24.. -(b984*x208 + b985*x216 + b986*x224 + b987*x232 + b988*x240 + b989*x248
       + b990*x256 + b991*x264 + b992*x272 + b993*x280 + b994*x288 + b995*x296
       + b996*x304 + b997*x312 + b998*x320 + b999*x328 + b1000*x336 + b1001*
      x344 + b1002*x352 + b1003*x360 + b1004*x368 + b1005*x376 + b1006*x384 + 
      b1007*x392 + b1008*x400) + x377 - 1.2*b431 =E= 0;

e25.. -(b1009*x208 + b1010*x216 + b1011*x224 + b1012*x232 + b1013*x240 + b1014*
      x248 + b1015*x256 + b1016*x264 + b1017*x272 + b1018*x280 + b1019*x288 + 
      b1020*x296 + b1021*x304 + b1022*x312 + b1023*x320 + b1024*x328 + b1025*
      x336 + b1026*x344 + b1027*x352 + b1028*x360 + b1029*x368 + b1030*x376 + 
      b1031*x384 + b1032*x392 + b1033*x400) + x385 - 1.2*b432 =E= 0;

e26.. -(b1034*x208 + b1035*x216 + b1036*x224 + b1037*x232 + b1038*x240 + b1039*
      x248 + b1040*x256 + b1041*x264 + b1042*x272 + b1043*x280 + b1044*x288 + 
      b1045*x296 + b1046*x304 + b1047*x312 + b1048*x320 + b1049*x328 + b1050*
      x336 + b1051*x344 + b1052*x352 + b1053*x360 + b1054*x368 + b1055*x376 + 
      b1056*x384 + b1057*x392 + b1058*x400) + x393 - 1.2*b433 =E= 0;

e27.. 0.8777*x201*x1 + 0.0214*x209*x9 + 0.0561*x249*x49 + 0.0449*x257*x57 - x1*
      x401 =E= 0;

e28.. 0.8777*x202*x2 + 0.0214*x210*x10 + 0.0561*x250*x50 + 0.0449*x258*x58 - x2
      *x402 =E= 0;

e29.. 0.8777*x203*x3 + 0.0214*x211*x11 + 0.0561*x251*x51 + 0.0449*x259*x59 - x3
      *x403 =E= 0;

e30.. 0.8777*x204*x4 + 0.0214*x212*x12 + 0.0561*x252*x52 + 0.0449*x260*x60 - x4
      *x404 =E= 0;

e31.. 0.8777*x205*x5 + 0.0214*x213*x13 + 0.0561*x253*x53 + 0.0449*x261*x61 - x5
      *x405 =E= 0;

e32.. 0.8777*x206*x6 + 0.0214*x214*x14 + 0.0561*x254*x54 + 0.0449*x262*x62 - x6
      *x406 =E= 0;

e33.. 0.8777*x207*x7 + 0.0214*x215*x15 + 0.0561*x255*x55 + 0.0449*x263*x63 - x7
      *x407 =E= 0;

e34.. 0.8777*x208*x8 + 0.0214*x216*x16 + 0.0561*x256*x56 + 0.0449*x264*x64 - x8
      *x408 =E= 0;

e35.. 0.0823*x201*x1 + 0.747*x209*x9 + 0.0447*x217*x17 + 0.0018*x249*x49 + 
      0.0805*x257*x57 + 0.0436*x265*x65 - x9*x401 =E= 0;

e36.. 0.0823*x202*x2 + 0.747*x210*x10 + 0.0447*x218*x18 + 0.0018*x250*x50 + 
      0.0805*x258*x58 + 0.0436*x266*x66 - x10*x402 =E= 0;

e37.. 0.0823*x203*x3 + 0.747*x211*x11 + 0.0447*x219*x19 + 0.0018*x251*x51 + 
      0.0805*x259*x59 + 0.0436*x267*x67 - x11*x403 =E= 0;

e38.. 0.0823*x204*x4 + 0.747*x212*x12 + 0.0447*x220*x20 + 0.0018*x252*x52 + 
      0.0805*x260*x60 + 0.0436*x268*x68 - x12*x404 =E= 0;

e39.. 0.0823*x205*x5 + 0.747*x213*x13 + 0.0447*x221*x21 + 0.0018*x253*x53 + 
      0.0805*x261*x61 + 0.0436*x269*x69 - x13*x405 =E= 0;

e40.. 0.0823*x206*x6 + 0.747*x214*x14 + 0.0447*x222*x22 + 0.0018*x254*x54 + 
      0.0805*x262*x62 + 0.0436*x270*x70 - x14*x406 =E= 0;

e41.. 0.0823*x207*x7 + 0.747*x215*x15 + 0.0447*x223*x23 + 0.0018*x255*x55 + 
      0.0805*x263*x63 + 0.0436*x271*x71 - x15*x407 =E= 0;

e42.. 0.0823*x208*x8 + 0.747*x216*x16 + 0.0447*x224*x24 + 0.0018*x256*x56 + 
      0.0805*x264*x64 + 0.0436*x272*x72 - x16*x408 =E= 0;

e43.. 0.0603*x209*x9 + 0.7323*x217*x17 + 0.0852*x225*x25 + 0.0683*x257*x57 + 
      0.0163*x265*x65 + 0.0375*x273*x73 - x17*x401 =E= 0;

e44.. 0.0603*x210*x10 + 0.7323*x218*x18 + 0.0852*x226*x26 + 0.0683*x258*x58 + 
      0.0163*x266*x66 + 0.0375*x274*x74 - x18*x402 =E= 0;

e45.. 0.0603*x211*x11 + 0.7323*x219*x19 + 0.0852*x227*x27 + 0.0683*x259*x59 + 
      0.0163*x267*x67 + 0.0375*x275*x75 - x19*x403 =E= 0;

e46.. 0.0603*x212*x12 + 0.7323*x220*x20 + 0.0852*x228*x28 + 0.0683*x260*x60 + 
      0.0163*x268*x68 + 0.0375*x276*x76 - x20*x404 =E= 0;

e47.. 0.0603*x213*x13 + 0.7323*x221*x21 + 0.0852*x229*x29 + 0.0683*x261*x61 + 
      0.0163*x269*x69 + 0.0375*x277*x77 - x21*x405 =E= 0;

e48.. 0.0603*x214*x14 + 0.7323*x222*x22 + 0.0852*x230*x30 + 0.0683*x262*x62 + 
      0.0163*x270*x70 + 0.0375*x278*x78 - x22*x406 =E= 0;

e49.. 0.0603*x215*x15 + 0.7323*x223*x23 + 0.0852*x231*x31 + 0.0683*x263*x63 + 
      0.0163*x271*x71 + 0.0375*x279*x79 - x23*x407 =E= 0;

e50.. 0.0603*x216*x16 + 0.7323*x224*x24 + 0.0852*x232*x32 + 0.0683*x264*x64 + 
      0.0163*x272*x72 + 0.0375*x280*x80 - x24*x408 =E= 0;

e51.. 0.0865*x217*x17 + 0.7696*x225*x25 + 0.0344*x233*x33 + 0.075*x265*x65 + 
      0.0049*x273*x73 + 0.0296*x281*x81 - x25*x401 =E= 0;

e52.. 0.0865*x218*x18 + 0.7696*x226*x26 + 0.0344*x234*x34 + 0.075*x266*x66 + 
      0.0049*x274*x74 + 0.0296*x282*x82 - x26*x402 =E= 0;

e53.. 0.0865*x219*x19 + 0.7696*x227*x27 + 0.0344*x235*x35 + 0.075*x267*x67 + 
      0.0049*x275*x75 + 0.0296*x283*x83 - x27*x403 =E= 0;

e54.. 0.0865*x220*x20 + 0.7696*x228*x28 + 0.0344*x236*x36 + 0.075*x268*x68 + 
      0.0049*x276*x76 + 0.0296*x284*x84 - x28*x404 =E= 0;

e55.. 0.0865*x221*x21 + 0.7696*x229*x29 + 0.0344*x237*x37 + 0.075*x269*x69 + 
      0.0049*x277*x77 + 0.0296*x285*x85 - x29*x405 =E= 0;

e56.. 0.0865*x222*x22 + 0.7696*x230*x30 + 0.0344*x238*x38 + 0.075*x270*x70 + 
      0.0049*x278*x78 + 0.0296*x286*x86 - x30*x406 =E= 0;

e57.. 0.0865*x223*x23 + 0.7696*x231*x31 + 0.0344*x239*x39 + 0.075*x271*x71 + 
      0.0049*x279*x79 + 0.0296*x287*x87 - x31*x407 =E= 0;

e58.. 0.0865*x224*x24 + 0.7696*x232*x32 + 0.0344*x240*x40 + 0.075*x272*x72 + 
      0.0049*x280*x80 + 0.0296*x288*x88 - x32*x408 =E= 0;

e59.. 0.0683*x225*x25 + 0.0739*x233*x33 + 0.1041*x241*x41 + 0.152*x273*x73 + 
      0.149*x281*x81 + 0.4527*x289*x89 - x33*x401 =E= 0;

e60.. 0.0683*x226*x26 + 0.0739*x234*x34 + 0.1041*x242*x42 + 0.152*x274*x74 + 
      0.149*x282*x82 + 0.4527*x290*x90 - x34*x402 =E= 0;

e61.. 0.0683*x227*x27 + 0.0739*x235*x35 + 0.1041*x243*x43 + 0.152*x275*x75 + 
      0.149*x283*x83 + 0.4527*x291*x91 - x35*x403 =E= 0;

e62.. 0.0683*x228*x28 + 0.0739*x236*x36 + 0.1041*x244*x44 + 0.152*x276*x76 + 
      0.149*x284*x84 + 0.4527*x292*x92 - x36*x404 =E= 0;

e63.. 0.0683*x229*x29 + 0.0739*x237*x37 + 0.1041*x245*x45 + 0.152*x277*x77 + 
      0.149*x285*x85 + 0.4527*x293*x93 - x37*x405 =E= 0;

e64.. 0.0683*x230*x30 + 0.0739*x238*x38 + 0.1041*x246*x46 + 0.152*x278*x78 + 
      0.149*x286*x86 + 0.4527*x294*x94 - x38*x406 =E= 0;

e65.. 0.0683*x231*x31 + 0.0739*x239*x39 + 0.1041*x247*x47 + 0.152*x279*x79 + 
      0.149*x287*x87 + 0.4527*x295*x95 - x39*x407 =E= 0;

e66.. 0.0683*x232*x32 + 0.0739*x240*x40 + 0.1041*x248*x48 + 0.152*x280*x80 + 
      0.149*x288*x88 + 0.4527*x296*x96 - x40*x408 =E= 0;

e67.. 0.2041*x233*x33 + 0.5754*x241*x41 + 0.0044*x281*x81 + 0.2161*x289*x89 - 
      x41*x401 =E= 0;

e68.. 0.2041*x234*x34 + 0.5754*x242*x42 + 0.0044*x282*x82 + 0.2161*x290*x90 - 
      x42*x402 =E= 0;

e69.. 0.2041*x235*x35 + 0.5754*x243*x43 + 0.0044*x283*x83 + 0.2161*x291*x91 - 
      x43*x403 =E= 0;

e70.. 0.2041*x236*x36 + 0.5754*x244*x44 + 0.0044*x284*x84 + 0.2161*x292*x92 - 
      x44*x404 =E= 0;

e71.. 0.2041*x237*x37 + 0.5754*x245*x45 + 0.0044*x285*x85 + 0.2161*x293*x93 - 
      x45*x405 =E= 0;

e72.. 0.2041*x238*x38 + 0.5754*x246*x46 + 0.0044*x286*x86 + 0.2161*x294*x94 - 
      x46*x406 =E= 0;

e73.. 0.2041*x239*x39 + 0.5754*x247*x47 + 0.0044*x287*x87 + 0.2161*x295*x95 - 
      x47*x407 =E= 0;

e74.. 0.2041*x240*x40 + 0.5754*x248*x48 + 0.0044*x288*x88 + 0.2161*x296*x96 - 
      x48*x408 =E= 0;

e75.. 0.0411*x201*x1 + 0.0913*x209*x9 + 0.6268*x249*x49 + 0.0563*x257*x57 + 
      0.1138*x297*x97 + 0.0706*x305*x105 - x49*x401 =E= 0;

e76.. 0.0411*x202*x2 + 0.0913*x210*x10 + 0.6268*x250*x50 + 0.0563*x258*x58 + 
      0.1138*x298*x98 + 0.0706*x306*x106 - x50*x402 =E= 0;

e77.. 0.0411*x203*x3 + 0.0913*x211*x11 + 0.6268*x251*x51 + 0.0563*x259*x59 + 
      0.1138*x299*x99 + 0.0706*x307*x107 - x51*x403 =E= 0;

e78.. 0.0411*x204*x4 + 0.0913*x212*x12 + 0.6268*x252*x52 + 0.0563*x260*x60 + 
      0.1138*x300*x100 + 0.0706*x308*x108 - x52*x404 =E= 0;

e79.. 0.0411*x205*x5 + 0.0913*x213*x13 + 0.6268*x253*x53 + 0.0563*x261*x61 + 
      0.1138*x301*x101 + 0.0706*x309*x109 - x53*x405 =E= 0;

e80.. 0.0411*x206*x6 + 0.0913*x214*x14 + 0.6268*x254*x54 + 0.0563*x262*x62 + 
      0.1138*x302*x102 + 0.0706*x310*x110 - x54*x406 =E= 0;

e81.. 0.0411*x207*x7 + 0.0913*x215*x15 + 0.6268*x255*x55 + 0.0563*x263*x63 + 
      0.1138*x303*x103 + 0.0706*x311*x111 - x55*x407 =E= 0;

e82.. 0.0411*x208*x8 + 0.0913*x216*x16 + 0.6268*x256*x56 + 0.0563*x264*x64 + 
      0.1138*x304*x104 + 0.0706*x312*x112 - x56*x408 =E= 0;

e83.. 0.0187*x201*x1 + 0.0659*x209*x9 + 0.0775*x217*x17 + 0.0026*x249*x49 + 
      0.6161*x257*x57 + 0.0343*x265*x65 + 0.0752*x297*x97 + 0.0455*x305*x105 + 
      0.0642*x313*x113 - x57*x401 =E= 0;

e84.. 0.0187*x202*x2 + 0.0659*x210*x10 + 0.0775*x218*x18 + 0.0026*x250*x50 + 
      0.6161*x258*x58 + 0.0343*x266*x66 + 0.0752*x298*x98 + 0.0455*x306*x106 + 
      0.0642*x314*x114 - x58*x402 =E= 0;

e85.. 0.0187*x203*x3 + 0.0659*x211*x11 + 0.0775*x219*x19 + 0.0026*x251*x51 + 
      0.6161*x259*x59 + 0.0343*x267*x67 + 0.0752*x299*x99 + 0.0455*x307*x107 + 
      0.0642*x315*x115 - x59*x403 =E= 0;

e86.. 0.0187*x204*x4 + 0.0659*x212*x12 + 0.0775*x220*x20 + 0.0026*x252*x52 + 
      0.6161*x260*x60 + 0.0343*x268*x68 + 0.0752*x300*x100 + 0.0455*x308*x108
       + 0.0642*x316*x116 - x60*x404 =E= 0;

e87.. 0.0187*x205*x5 + 0.0659*x213*x13 + 0.0775*x221*x21 + 0.0026*x253*x53 + 
      0.6161*x261*x61 + 0.0343*x269*x69 + 0.0752*x301*x101 + 0.0455*x309*x109
       + 0.0642*x317*x117 - x61*x405 =E= 0;

e88.. 0.0187*x206*x6 + 0.0659*x214*x14 + 0.0775*x222*x22 + 0.0026*x254*x54 + 
      0.6161*x262*x62 + 0.0343*x270*x70 + 0.0752*x302*x102 + 0.0455*x310*x110
       + 0.0642*x318*x118 - x62*x406 =E= 0;

e89.. 0.0187*x207*x7 + 0.0659*x215*x15 + 0.0775*x223*x23 + 0.0026*x255*x55 + 
      0.6161*x263*x63 + 0.0343*x271*x71 + 0.0752*x303*x103 + 0.0455*x311*x111
       + 0.0642*x319*x119 - x63*x407 =E= 0;

e90.. 0.0187*x208*x8 + 0.0659*x216*x16 + 0.0775*x224*x24 + 0.0026*x256*x56 + 
      0.6161*x264*x64 + 0.0343*x272*x72 + 0.0752*x304*x104 + 0.0455*x312*x112
       + 0.0642*x320*x120 - x64*x408 =E= 0;

e91.. 0.042*x209*x9 + 0.0282*x217*x17 + 0.0159*x225*x25 + 0.0175*x257*x57 + 
      0.7181*x265*x65 + 0.0319*x273*x73 + 0.057*x305*x105 + 0.0159*x313*x113 + 
      0.0735*x321*x121 - x65*x401 =E= 0;

e92.. 0.042*x210*x10 + 0.0282*x218*x18 + 0.0159*x226*x26 + 0.0175*x258*x58 + 
      0.7181*x266*x66 + 0.0319*x274*x74 + 0.057*x306*x106 + 0.0159*x314*x114 + 
      0.0735*x322*x122 - x66*x402 =E= 0;

e93.. 0.042*x211*x11 + 0.0282*x219*x19 + 0.0159*x227*x27 + 0.0175*x259*x59 + 
      0.7181*x267*x67 + 0.0319*x275*x75 + 0.057*x307*x107 + 0.0159*x315*x115 + 
      0.0735*x323*x123 - x67*x403 =E= 0;

e94.. 0.042*x212*x12 + 0.0282*x220*x20 + 0.0159*x228*x28 + 0.0175*x260*x60 + 
      0.7181*x268*x68 + 0.0319*x276*x76 + 0.057*x308*x108 + 0.0159*x316*x116 + 
      0.0735*x324*x124 - x68*x404 =E= 0;

e95.. 0.042*x213*x13 + 0.0282*x221*x21 + 0.0159*x229*x29 + 0.0175*x261*x61 + 
      0.7181*x269*x69 + 0.0319*x277*x77 + 0.057*x309*x109 + 0.0159*x317*x117 + 
      0.0735*x325*x125 - x69*x405 =E= 0;

e96.. 0.042*x214*x14 + 0.0282*x222*x22 + 0.0159*x230*x30 + 0.0175*x262*x62 + 
      0.7181*x270*x70 + 0.0319*x278*x78 + 0.057*x310*x110 + 0.0159*x318*x118 + 
      0.0735*x326*x126 - x70*x406 =E= 0;

e97.. 0.042*x215*x15 + 0.0282*x223*x23 + 0.0159*x231*x31 + 0.0175*x263*x63 + 
      0.7181*x271*x71 + 0.0319*x279*x79 + 0.057*x311*x111 + 0.0159*x319*x119 + 
      0.0735*x327*x127 - x71*x407 =E= 0;

e98.. 0.042*x216*x16 + 0.0282*x224*x24 + 0.0159*x232*x32 + 0.0175*x264*x64 + 
      0.7181*x272*x72 + 0.0319*x280*x80 + 0.057*x312*x112 + 0.0159*x320*x120 + 
      0.0735*x328*x128 - x72*x408 =E= 0;

e99.. 0.035*x217*x17 + 0.0722*x225*x25 + 0.64*x233*x33 + 0.0625*x265*x65 + 
      0.116*x273*x73 + 0.021*x281*x81 + 0.0192*x313*x113 + 0.0151*x321*x121 + 
      0.0191*x329*x129 - x73*x401 =E= 0;

e100.. 0.035*x218*x18 + 0.0722*x226*x26 + 0.64*x234*x34 + 0.0625*x266*x66 + 
       0.116*x274*x74 + 0.021*x282*x82 + 0.0192*x314*x114 + 0.0151*x322*x122 + 
       0.0191*x330*x130 - x74*x402 =E= 0;

e101.. 0.035*x219*x19 + 0.0722*x227*x27 + 0.64*x235*x35 + 0.0625*x267*x67 + 
       0.116*x275*x75 + 0.021*x283*x83 + 0.0192*x315*x115 + 0.0151*x323*x123 + 
       0.0191*x331*x131 - x75*x403 =E= 0;

e102.. 0.035*x220*x20 + 0.0722*x228*x28 + 0.64*x236*x36 + 0.0625*x268*x68 + 
       0.116*x276*x76 + 0.021*x284*x84 + 0.0192*x316*x116 + 0.0151*x324*x124 + 
       0.0191*x332*x132 - x76*x404 =E= 0;

e103.. 0.035*x221*x21 + 0.0722*x229*x29 + 0.64*x237*x37 + 0.0625*x269*x69 + 
       0.116*x277*x77 + 0.021*x285*x85 + 0.0192*x317*x117 + 0.0151*x325*x125 + 
       0.0191*x333*x133 - x77*x405 =E= 0;

e104.. 0.035*x222*x22 + 0.0722*x230*x30 + 0.64*x238*x38 + 0.0625*x270*x70 + 
       0.116*x278*x78 + 0.021*x286*x86 + 0.0192*x318*x118 + 0.0151*x326*x126 + 
       0.0191*x334*x134 - x78*x406 =E= 0;

e105.. 0.035*x223*x23 + 0.0722*x231*x31 + 0.64*x239*x39 + 0.0625*x271*x71 + 
       0.116*x279*x79 + 0.021*x287*x87 + 0.0192*x319*x119 + 0.0151*x327*x127 + 
       0.0191*x335*x135 - x79*x407 =E= 0;

e106.. 0.035*x224*x24 + 0.0722*x232*x32 + 0.64*x240*x40 + 0.0625*x272*x72 + 
       0.116*x280*x80 + 0.021*x288*x88 + 0.0192*x320*x120 + 0.0151*x328*x128 + 
       0.0191*x336*x136 - x80*x408 =E= 0;

e107.. 0.0554*x225*x25 + 0.2564*x233*x33 + 0.0838*x241*x41 + 0.008*x273*x73 + 
       0.4414*x281*x81 + 0.0601*x289*x89 + 0.0256*x321*x121 + 0.0693*x329*x129
        - x81*x401 =E= 0;

e108.. 0.0554*x226*x26 + 0.2564*x234*x34 + 0.0838*x242*x42 + 0.008*x274*x74 + 
       0.4414*x282*x82 + 0.0601*x290*x90 + 0.0256*x322*x122 + 0.0693*x330*x130
        - x82*x402 =E= 0;

e109.. 0.0554*x227*x27 + 0.2564*x235*x35 + 0.0838*x243*x43 + 0.008*x275*x75 + 
       0.4414*x283*x83 + 0.0601*x291*x91 + 0.0256*x323*x123 + 0.0693*x331*x131
        - x83*x403 =E= 0;

e110.. 0.0554*x228*x28 + 0.2564*x236*x36 + 0.0838*x244*x44 + 0.008*x276*x76 + 
       0.4414*x284*x84 + 0.0601*x292*x92 + 0.0256*x324*x124 + 0.0693*x332*x132
        - x84*x404 =E= 0;

e111.. 0.0554*x229*x29 + 0.2564*x237*x37 + 0.0838*x245*x45 + 0.008*x277*x77 + 
       0.4414*x285*x85 + 0.0601*x293*x93 + 0.0256*x325*x125 + 0.0693*x333*x133
        - x85*x405 =E= 0;

e112.. 0.0554*x230*x30 + 0.2564*x238*x38 + 0.0838*x246*x46 + 0.008*x278*x78 + 
       0.4414*x286*x86 + 0.0601*x294*x94 + 0.0256*x326*x126 + 0.0693*x334*x134
        - x86*x406 =E= 0;

e113.. 0.0554*x231*x31 + 0.2564*x239*x39 + 0.0838*x247*x47 + 0.008*x279*x79 + 
       0.4414*x287*x87 + 0.0601*x295*x95 + 0.0256*x327*x127 + 0.0693*x335*x135
        - x87*x407 =E= 0;

e114.. 0.0554*x232*x32 + 0.2564*x240*x40 + 0.0838*x248*x48 + 0.008*x280*x80 + 
       0.4414*x288*x88 + 0.0601*x296*x96 + 0.0256*x328*x128 + 0.0693*x336*x136
        - x88*x408 =E= 0;

e115.. 0.4259*x233*x33 + 0.1072*x241*x41 + 0.0581*x281*x81 + 0.378*x289*x89 + 
       0.0308*x329*x129 - x89*x401 =E= 0;

e116.. 0.4259*x234*x34 + 0.1072*x242*x42 + 0.0581*x282*x82 + 0.378*x290*x90 + 
       0.0308*x330*x130 - x90*x402 =E= 0;

e117.. 0.4259*x235*x35 + 0.1072*x243*x43 + 0.0581*x283*x83 + 0.378*x291*x91 + 
       0.0308*x331*x131 - x91*x403 =E= 0;

e118.. 0.4259*x236*x36 + 0.1072*x244*x44 + 0.0581*x284*x84 + 0.378*x292*x92 + 
       0.0308*x332*x132 - x92*x404 =E= 0;

e119.. 0.4259*x237*x37 + 0.1072*x245*x45 + 0.0581*x285*x85 + 0.378*x293*x93 + 
       0.0308*x333*x133 - x93*x405 =E= 0;

e120.. 0.4259*x238*x38 + 0.1072*x246*x46 + 0.0581*x286*x86 + 0.378*x294*x94 + 
       0.0308*x334*x134 - x94*x406 =E= 0;

e121.. 0.4259*x239*x39 + 0.1072*x247*x47 + 0.0581*x287*x87 + 0.378*x295*x95 + 
       0.0308*x335*x135 - x95*x407 =E= 0;

e122.. 0.4259*x240*x40 + 0.1072*x248*x48 + 0.0581*x288*x88 + 0.378*x296*x96 + 
       0.0308*x336*x136 - x96*x408 =E= 0;

e123.. 0.0934*x249*x49 + 0.0562*x257*x57 + 0.6557*x297*x97 + 0.0789*x305*x105
        + 0.0431*x337*x137 + 0.0726*x345*x145 - x97*x401 =E= 0;

e124.. 0.0934*x250*x50 + 0.0562*x258*x58 + 0.6557*x298*x98 + 0.0789*x306*x106
        + 0.0431*x338*x138 + 0.0726*x346*x146 - x98*x402 =E= 0;

e125.. 0.0934*x251*x51 + 0.0562*x259*x59 + 0.6557*x299*x99 + 0.0789*x307*x107
        + 0.0431*x339*x139 + 0.0726*x347*x147 - x99*x403 =E= 0;

e126.. 0.0934*x252*x52 + 0.0562*x260*x60 + 0.6557*x300*x100 + 0.0789*x308*x108
        + 0.0431*x340*x140 + 0.0726*x348*x148 - x100*x404 =E= 0;

e127.. 0.0934*x253*x53 + 0.0562*x261*x61 + 0.6557*x301*x101 + 0.0789*x309*x109
        + 0.0431*x341*x141 + 0.0726*x349*x149 - x101*x405 =E= 0;

e128.. 0.0934*x254*x54 + 0.0562*x262*x62 + 0.6557*x302*x102 + 0.0789*x310*x110
        + 0.0431*x342*x142 + 0.0726*x350*x150 - x102*x406 =E= 0;

e129.. 0.0934*x255*x55 + 0.0562*x263*x63 + 0.6557*x303*x103 + 0.0789*x311*x111
        + 0.0431*x343*x143 + 0.0726*x351*x151 - x103*x407 =E= 0;

e130.. 0.0934*x256*x56 + 0.0562*x264*x64 + 0.6557*x304*x104 + 0.0789*x312*x112
        + 0.0431*x344*x144 + 0.0726*x352*x152 - x104*x408 =E= 0;

e131.. 0.0233*x249*x49 + 0.0886*x257*x57 + 0.0286*x265*x65 + 0.0208*x297*x97 + 
       0.6971*x305*x105 + 0.0587*x313*x113 + 0.0109*x337*x137 + 0.0009*x345*
       x145 + 0.0712*x353*x153 - x105*x401 =E= 0;

e132.. 0.0233*x250*x50 + 0.0886*x258*x58 + 0.0286*x266*x66 + 0.0208*x298*x98 + 
       0.6971*x306*x106 + 0.0587*x314*x114 + 0.0109*x338*x138 + 0.0009*x346*
       x146 + 0.0712*x354*x154 - x106*x402 =E= 0;

e133.. 0.0233*x251*x51 + 0.0886*x259*x59 + 0.0286*x267*x67 + 0.0208*x299*x99 + 
       0.6971*x307*x107 + 0.0587*x315*x115 + 0.0109*x339*x139 + 0.0009*x347*
       x147 + 0.0712*x355*x155 - x107*x403 =E= 0;

e134.. 0.0233*x252*x52 + 0.0886*x260*x60 + 0.0286*x268*x68 + 0.0208*x300*x100
        + 0.6971*x308*x108 + 0.0587*x316*x116 + 0.0109*x340*x140 + 0.0009*x348*
       x148 + 0.0712*x356*x156 - x108*x404 =E= 0;

e135.. 0.0233*x253*x53 + 0.0886*x261*x61 + 0.0286*x269*x69 + 0.0208*x301*x101
        + 0.6971*x309*x109 + 0.0587*x317*x117 + 0.0109*x341*x141 + 0.0009*x349*
       x149 + 0.0712*x357*x157 - x109*x405 =E= 0;

e136.. 0.0233*x254*x54 + 0.0886*x262*x62 + 0.0286*x270*x70 + 0.0208*x302*x102
        + 0.6971*x310*x110 + 0.0587*x318*x118 + 0.0109*x342*x142 + 0.0009*x350*
       x150 + 0.0712*x358*x158 - x110*x406 =E= 0;

e137.. 0.0233*x255*x55 + 0.0886*x263*x63 + 0.0286*x271*x71 + 0.0208*x303*x103
        + 0.6971*x311*x111 + 0.0587*x319*x119 + 0.0109*x343*x143 + 0.0009*x351*
       x151 + 0.0712*x359*x159 - x111*x407 =E= 0;

e138.. 0.0233*x256*x56 + 0.0886*x264*x64 + 0.0286*x272*x72 + 0.0208*x304*x104
        + 0.6971*x312*x112 + 0.0587*x320*x120 + 0.0109*x344*x144 + 0.0009*x352*
       x152 + 0.0712*x360*x160 - x112*x408 =E= 0;

e139.. 0.018*x257*x57 + 0.0314*x265*x65 + 0.0154*x273*x73 + 0.0226*x305*x105 + 
       0.6341*x313*x113 + 0.0088*x321*x121 + 0.1336*x345*x145 + 0.0788*x353*
       x153 + 0.0572*x361*x161 - x113*x401 =E= 0;

e140.. 0.018*x258*x58 + 0.0314*x266*x66 + 0.0154*x274*x74 + 0.0226*x306*x106 + 
       0.6341*x314*x114 + 0.0088*x322*x122 + 0.1336*x346*x146 + 0.0788*x354*
       x154 + 0.0572*x362*x162 - x114*x402 =E= 0;

e141.. 0.018*x259*x59 + 0.0314*x267*x67 + 0.0154*x275*x75 + 0.0226*x307*x107 + 
       0.6341*x315*x115 + 0.0088*x323*x123 + 0.1336*x347*x147 + 0.0788*x355*
       x155 + 0.0572*x363*x163 - x115*x403 =E= 0;

e142.. 0.018*x260*x60 + 0.0314*x268*x68 + 0.0154*x276*x76 + 0.0226*x308*x108 + 
       0.6341*x316*x116 + 0.0088*x324*x124 + 0.1336*x348*x148 + 0.0788*x356*
       x156 + 0.0572*x364*x164 - x116*x404 =E= 0;

e143.. 0.018*x261*x61 + 0.0314*x269*x69 + 0.0154*x277*x77 + 0.0226*x309*x109 + 
       0.6341*x317*x117 + 0.0088*x325*x125 + 0.1336*x349*x149 + 0.0788*x357*
       x157 + 0.0572*x365*x165 - x117*x405 =E= 0;

e144.. 0.018*x262*x62 + 0.0314*x270*x70 + 0.0154*x278*x78 + 0.0226*x310*x110 + 
       0.6341*x318*x118 + 0.0088*x326*x126 + 0.1336*x350*x150 + 0.0788*x358*
       x158 + 0.0572*x366*x166 - x118*x406 =E= 0;

e145.. 0.018*x263*x63 + 0.0314*x271*x71 + 0.0154*x279*x79 + 0.0226*x311*x111 + 
       0.6341*x319*x119 + 0.0088*x327*x127 + 0.1336*x351*x151 + 0.0788*x359*
       x159 + 0.0572*x367*x167 - x119*x407 =E= 0;

e146.. 0.018*x264*x64 + 0.0314*x272*x72 + 0.0154*x280*x80 + 0.0226*x312*x112 + 
       0.6341*x320*x120 + 0.0088*x328*x128 + 0.1336*x352*x152 + 0.0788*x360*
       x160 + 0.0572*x368*x168 - x120*x408 =E= 0;

e147.. 0.0543*x265*x65 + 0.0078*x273*x73 + 0.0358*x281*x81 + 0.0305*x313*x113
        + 0.6539*x321*x121 + 0.0858*x329*x129 + 0.0598*x353*x153 + 0.0722*x361*
       x161 - x121*x401 =E= 0;

e148.. 0.0543*x266*x66 + 0.0078*x274*x74 + 0.0358*x282*x82 + 0.0305*x314*x114
        + 0.6539*x322*x122 + 0.0858*x330*x130 + 0.0598*x354*x154 + 0.0722*x362*
       x162 - x122*x402 =E= 0;

e149.. 0.0543*x267*x67 + 0.0078*x275*x75 + 0.0358*x283*x83 + 0.0305*x315*x115
        + 0.6539*x323*x123 + 0.0858*x331*x131 + 0.0598*x355*x155 + 0.0722*x363*
       x163 - x123*x403 =E= 0;

e150.. 0.0543*x268*x68 + 0.0078*x276*x76 + 0.0358*x284*x84 + 0.0305*x316*x116
        + 0.6539*x324*x124 + 0.0858*x332*x132 + 0.0598*x356*x156 + 0.0722*x364*
       x164 - x124*x404 =E= 0;

e151.. 0.0543*x269*x69 + 0.0078*x277*x77 + 0.0358*x285*x85 + 0.0305*x317*x117
        + 0.6539*x325*x125 + 0.0858*x333*x133 + 0.0598*x357*x157 + 0.0722*x365*
       x165 - x125*x405 =E= 0;

e152.. 0.0543*x270*x70 + 0.0078*x278*x78 + 0.0358*x286*x86 + 0.0305*x318*x118
        + 0.6539*x326*x126 + 0.0858*x334*x134 + 0.0598*x358*x158 + 0.0722*x366*
       x166 - x126*x406 =E= 0;

e153.. 0.0543*x271*x71 + 0.0078*x279*x79 + 0.0358*x287*x87 + 0.0305*x319*x119
        + 0.6539*x327*x127 + 0.0858*x335*x135 + 0.0598*x359*x159 + 0.0722*x367*
       x167 - x127*x407 =E= 0;

e154.. 0.0543*x272*x72 + 0.0078*x280*x80 + 0.0358*x288*x88 + 0.0305*x320*x120
        + 0.6539*x328*x128 + 0.0858*x336*x136 + 0.0598*x360*x160 + 0.0722*x368*
       x168 - x128*x408 =E= 0;

e155.. 0.0049*x273*x73 + 0.0314*x281*x81 + 0.0542*x289*x89 + 0.0768*x321*x121
        + 0.7415*x329*x129 + 0.0913*x361*x161 - x129*x401 =E= 0;

e156.. 0.0049*x274*x74 + 0.0314*x282*x82 + 0.0542*x290*x90 + 0.0768*x322*x122
        + 0.7415*x330*x130 + 0.0913*x362*x162 - x130*x402 =E= 0;

e157.. 0.0049*x275*x75 + 0.0314*x283*x83 + 0.0542*x291*x91 + 0.0768*x323*x123
        + 0.7415*x331*x131 + 0.0913*x363*x163 - x131*x403 =E= 0;

e158.. 0.0049*x276*x76 + 0.0314*x284*x84 + 0.0542*x292*x92 + 0.0768*x324*x124
        + 0.7415*x332*x132 + 0.0913*x364*x164 - x132*x404 =E= 0;

e159.. 0.0049*x277*x77 + 0.0314*x285*x85 + 0.0542*x293*x93 + 0.0768*x325*x125
        + 0.7415*x333*x133 + 0.0913*x365*x165 - x133*x405 =E= 0;

e160.. 0.0049*x278*x78 + 0.0314*x286*x86 + 0.0542*x294*x94 + 0.0768*x326*x126
        + 0.7415*x334*x134 + 0.0913*x366*x166 - x134*x406 =E= 0;

e161.. 0.0049*x279*x79 + 0.0314*x287*x87 + 0.0542*x295*x95 + 0.0768*x327*x127
        + 0.7415*x335*x135 + 0.0913*x367*x167 - x135*x407 =E= 0;

e162.. 0.0049*x280*x80 + 0.0314*x288*x88 + 0.0542*x296*x96 + 0.0768*x328*x128
        + 0.7415*x336*x136 + 0.0913*x368*x168 - x136*x408 =E= 0;

e163.. 0.0655*x297*x97 + 0.0047*x305*x105 + 0.8244*x337*x137 + 0.0069*x345*x145
        + 0.0568*x369*x169 + 0.0417*x377*x177 - x137*x401 =E= 0;

e164.. 0.0655*x298*x98 + 0.0047*x306*x106 + 0.8244*x338*x138 + 0.0069*x346*x146
        + 0.0568*x370*x170 + 0.0417*x378*x178 - x138*x402 =E= 0;

e165.. 0.0655*x299*x99 + 0.0047*x307*x107 + 0.8244*x339*x139 + 0.0069*x347*x147
        + 0.0568*x371*x171 + 0.0417*x379*x179 - x139*x403 =E= 0;

e166.. 0.0655*x300*x100 + 0.0047*x308*x108 + 0.8244*x340*x140 + 0.0069*x348*
       x148 + 0.0568*x372*x172 + 0.0417*x380*x180 - x140*x404 =E= 0;

e167.. 0.0655*x301*x101 + 0.0047*x309*x109 + 0.8244*x341*x141 + 0.0069*x349*
       x149 + 0.0568*x373*x173 + 0.0417*x381*x181 - x141*x405 =E= 0;

e168.. 0.0655*x302*x102 + 0.0047*x310*x110 + 0.8244*x342*x142 + 0.0069*x350*
       x150 + 0.0568*x374*x174 + 0.0417*x382*x182 - x142*x406 =E= 0;

e169.. 0.0655*x303*x103 + 0.0047*x311*x111 + 0.8244*x343*x143 + 0.0069*x351*
       x151 + 0.0568*x375*x175 + 0.0417*x383*x183 - x143*x407 =E= 0;

e170.. 0.0655*x304*x104 + 0.0047*x312*x112 + 0.8244*x344*x144 + 0.0069*x352*
       x152 + 0.0568*x376*x176 + 0.0417*x384*x184 - x144*x408 =E= 0;

e171.. 0.0721*x297*x97 + 0.0012*x305*x105 + 0.1038*x313*x113 + 0.1328*x337*x137
        + 0.5771*x345*x145 + 0.046*x353*x153 + 0.0256*x369*x169 + 0.029*x377*
       x177 + 0.0125*x385*x185 - x145*x401 =E= 0;

e172.. 0.0721*x298*x98 + 0.0012*x306*x106 + 0.1038*x314*x114 + 0.1328*x338*x138
        + 0.5771*x346*x146 + 0.046*x354*x154 + 0.0256*x370*x170 + 0.029*x378*
       x178 + 0.0125*x386*x186 - x146*x402 =E= 0;

e173.. 0.0721*x299*x99 + 0.0012*x307*x107 + 0.1038*x315*x115 + 0.1328*x339*x139
        + 0.5771*x347*x147 + 0.046*x355*x155 + 0.0256*x371*x171 + 0.029*x379*
       x179 + 0.0125*x387*x187 - x147*x403 =E= 0;

e174.. 0.0721*x300*x100 + 0.0012*x308*x108 + 0.1038*x316*x116 + 0.1328*x340*
       x140 + 0.5771*x348*x148 + 0.046*x356*x156 + 0.0256*x372*x172 + 0.029*
       x380*x180 + 0.0125*x388*x188 - x148*x404 =E= 0;

e175.. 0.0721*x301*x101 + 0.0012*x309*x109 + 0.1038*x317*x117 + 0.1328*x341*
       x141 + 0.5771*x349*x149 + 0.046*x357*x157 + 0.0256*x373*x173 + 0.029*
       x381*x181 + 0.0125*x389*x189 - x149*x405 =E= 0;

e176.. 0.0721*x302*x102 + 0.0012*x310*x110 + 0.1038*x318*x118 + 0.1328*x342*
       x142 + 0.5771*x350*x150 + 0.046*x358*x158 + 0.0256*x374*x174 + 0.029*
       x382*x182 + 0.0125*x390*x190 - x150*x406 =E= 0;

e177.. 0.0721*x303*x103 + 0.0012*x311*x111 + 0.1038*x319*x119 + 0.1328*x343*
       x143 + 0.5771*x351*x151 + 0.046*x359*x159 + 0.0256*x375*x175 + 0.029*
       x383*x183 + 0.0125*x391*x191 - x151*x407 =E= 0;

e178.. 0.0721*x304*x104 + 0.0012*x312*x112 + 0.1038*x320*x120 + 0.1328*x344*
       x144 + 0.5771*x352*x152 + 0.046*x360*x160 + 0.0256*x376*x176 + 0.029*
       x384*x184 + 0.0125*x392*x192 - x152*x408 =E= 0;

e179.. 0.0512*x305*x105 + 0.0433*x313*x113 + 0.1083*x321*x121 + 0.0424*x345*
       x145 + 0.5581*x353*x153 + 0.1009*x361*x161 + 0.0363*x377*x177 + 0.0596*
       x385*x185 - x153*x401 =E= 0;

e180.. 0.0512*x306*x106 + 0.0433*x314*x114 + 0.1083*x322*x122 + 0.0424*x346*
       x146 + 0.5581*x354*x154 + 0.1009*x362*x162 + 0.0363*x378*x178 + 0.0596*
       x386*x186 - x154*x402 =E= 0;

e181.. 0.0512*x307*x107 + 0.0433*x315*x115 + 0.1083*x323*x123 + 0.0424*x347*
       x147 + 0.5581*x355*x155 + 0.1009*x363*x163 + 0.0363*x379*x179 + 0.0596*
       x387*x187 - x155*x403 =E= 0;

e182.. 0.0512*x308*x108 + 0.0433*x316*x116 + 0.1083*x324*x124 + 0.0424*x348*
       x148 + 0.5581*x356*x156 + 0.1009*x364*x164 + 0.0363*x380*x180 + 0.0596*
       x388*x188 - x156*x404 =E= 0;

e183.. 0.0512*x309*x109 + 0.0433*x317*x117 + 0.1083*x325*x125 + 0.0424*x349*
       x149 + 0.5581*x357*x157 + 0.1009*x365*x165 + 0.0363*x381*x181 + 0.0596*
       x389*x189 - x157*x405 =E= 0;

e184.. 0.0512*x310*x110 + 0.0433*x318*x118 + 0.1083*x326*x126 + 0.0424*x350*
       x150 + 0.5581*x358*x158 + 0.1009*x366*x166 + 0.0363*x382*x182 + 0.0596*
       x390*x190 - x158*x406 =E= 0;

e185.. 0.0512*x311*x111 + 0.0433*x319*x119 + 0.1083*x327*x127 + 0.0424*x351*
       x151 + 0.5581*x359*x159 + 0.1009*x367*x167 + 0.0363*x383*x183 + 0.0596*
       x391*x191 - x159*x407 =E= 0;

e186.. 0.0512*x312*x112 + 0.0433*x320*x120 + 0.1083*x328*x128 + 0.0424*x352*
       x152 + 0.5581*x360*x160 + 0.1009*x368*x168 + 0.0363*x384*x184 + 0.0596*
       x392*x192 - x160*x408 =E= 0;

e187.. 0.1261*x313*x113 + 0.0771*x321*x121 + 0.0342*x329*x129 + 0.1137*x353*
       x153 + 0.6354*x361*x161 + 0.0135*x385*x185 - x161*x401 =E= 0;

e188.. 0.1261*x314*x114 + 0.0771*x322*x122 + 0.0342*x330*x130 + 0.1137*x354*
       x154 + 0.6354*x362*x162 + 0.0135*x386*x186 - x162*x402 =E= 0;

e189.. 0.1261*x315*x115 + 0.0771*x323*x123 + 0.0342*x331*x131 + 0.1137*x355*
       x155 + 0.6354*x363*x163 + 0.0135*x387*x187 - x163*x403 =E= 0;

e190.. 0.1261*x316*x116 + 0.0771*x324*x124 + 0.0342*x332*x132 + 0.1137*x356*
       x156 + 0.6354*x364*x164 + 0.0135*x388*x188 - x164*x404 =E= 0;

e191.. 0.1261*x317*x117 + 0.0771*x325*x125 + 0.0342*x333*x133 + 0.1137*x357*
       x157 + 0.6354*x365*x165 + 0.0135*x389*x189 - x165*x405 =E= 0;

e192.. 0.1261*x318*x118 + 0.0771*x326*x126 + 0.0342*x334*x134 + 0.1137*x358*
       x158 + 0.6354*x366*x166 + 0.0135*x390*x190 - x166*x406 =E= 0;

e193.. 0.1261*x319*x119 + 0.0771*x327*x127 + 0.0342*x335*x135 + 0.1137*x359*
       x159 + 0.6354*x367*x167 + 0.0135*x391*x191 - x167*x407 =E= 0;

e194.. 0.1261*x320*x120 + 0.0771*x328*x128 + 0.0342*x336*x136 + 0.1137*x360*
       x160 + 0.6354*x368*x168 + 0.0135*x392*x192 - x168*x408 =E= 0;

e195.. 0.0283*x337*x137 + 0.0354*x345*x145 + 0.8141*x369*x169 + 0.0479*x377*
       x177 + 0.0743*x393*x193 - x169*x401 =E= 0;

e196.. 0.0283*x338*x138 + 0.0354*x346*x146 + 0.8141*x370*x170 + 0.0479*x378*
       x178 + 0.0743*x394*x194 - x170*x402 =E= 0;

e197.. 0.0283*x339*x139 + 0.0354*x347*x147 + 0.8141*x371*x171 + 0.0479*x379*
       x179 + 0.0743*x395*x195 - x171*x403 =E= 0;

e198.. 0.0283*x340*x140 + 0.0354*x348*x148 + 0.8141*x372*x172 + 0.0479*x380*
       x180 + 0.0743*x396*x196 - x172*x404 =E= 0;

e199.. 0.0283*x341*x141 + 0.0354*x349*x149 + 0.8141*x373*x173 + 0.0479*x381*
       x181 + 0.0743*x397*x197 - x173*x405 =E= 0;

e200.. 0.0283*x342*x142 + 0.0354*x350*x150 + 0.8141*x374*x174 + 0.0479*x382*
       x182 + 0.0743*x398*x198 - x174*x406 =E= 0;

e201.. 0.0283*x343*x143 + 0.0354*x351*x151 + 0.8141*x375*x175 + 0.0479*x383*
       x183 + 0.0743*x399*x199 - x175*x407 =E= 0;

e202.. 0.0283*x344*x144 + 0.0354*x352*x152 + 0.8141*x376*x176 + 0.0479*x384*
       x184 + 0.0743*x400*x200 - x176*x408 =E= 0;

e203.. 0.0617*x337*x137 + 0.0026*x345*x145 + 0.0037*x353*x153 + 0.0404*x369*
       x169 + 0.0959*x377*x177 + 0.2863*x385*x185 + 0.5094*x393*x193 - x177*
       x401 =E= 0;

e204.. 0.0617*x338*x138 + 0.0026*x346*x146 + 0.0037*x354*x154 + 0.0404*x370*
       x170 + 0.0959*x378*x178 + 0.2863*x386*x186 + 0.5094*x394*x194 - x178*
       x402 =E= 0;

e205.. 0.0617*x339*x139 + 0.0026*x347*x147 + 0.0037*x355*x155 + 0.0404*x371*
       x171 + 0.0959*x379*x179 + 0.2863*x387*x187 + 0.5094*x395*x195 - x179*
       x403 =E= 0;

e206.. 0.0617*x340*x140 + 0.0026*x348*x148 + 0.0037*x356*x156 + 0.0404*x372*
       x172 + 0.0959*x380*x180 + 0.2863*x388*x188 + 0.5094*x396*x196 - x180*
       x404 =E= 0;

e207.. 0.0617*x341*x141 + 0.0026*x349*x149 + 0.0037*x357*x157 + 0.0404*x373*
       x173 + 0.0959*x381*x181 + 0.2863*x389*x189 + 0.5094*x397*x197 - x181*
       x405 =E= 0;

e208.. 0.0617*x342*x142 + 0.0026*x350*x150 + 0.0037*x358*x158 + 0.0404*x374*
       x174 + 0.0959*x382*x182 + 0.2863*x390*x190 + 0.5094*x398*x198 - x182*
       x406 =E= 0;

e209.. 0.0617*x343*x143 + 0.0026*x351*x151 + 0.0037*x359*x159 + 0.0404*x375*
       x175 + 0.0959*x383*x183 + 0.2863*x391*x191 + 0.5094*x399*x199 - x183*
       x407 =E= 0;

e210.. 0.0617*x344*x144 + 0.0026*x352*x152 + 0.0037*x360*x160 + 0.0404*x376*
       x176 + 0.0959*x384*x184 + 0.2863*x392*x192 + 0.5094*x400*x200 - x184*
       x408 =E= 0;

e211.. 0.0054*x345*x145 + 0.0048*x353*x153 + 0.0619*x361*x161 + 0.4538*x377*
       x177 + 0.4741*x385*x185 - x185*x401 =E= 0;

e212.. 0.0054*x346*x146 + 0.0048*x354*x154 + 0.0619*x362*x162 + 0.4538*x378*
       x178 + 0.4741*x386*x186 - x186*x402 =E= 0;

e213.. 0.0054*x347*x147 + 0.0048*x355*x155 + 0.0619*x363*x163 + 0.4538*x379*
       x179 + 0.4741*x387*x187 - x187*x403 =E= 0;

e214.. 0.0054*x348*x148 + 0.0048*x356*x156 + 0.0619*x364*x164 + 0.4538*x380*
       x180 + 0.4741*x388*x188 - x188*x404 =E= 0;

e215.. 0.0054*x349*x149 + 0.0048*x357*x157 + 0.0619*x365*x165 + 0.4538*x381*
       x181 + 0.4741*x389*x189 - x189*x405 =E= 0;

e216.. 0.0054*x350*x150 + 0.0048*x358*x158 + 0.0619*x366*x166 + 0.4538*x382*
       x182 + 0.4741*x390*x190 - x190*x406 =E= 0;

e217.. 0.0054*x351*x151 + 0.0048*x359*x159 + 0.0619*x367*x167 + 0.4538*x383*
       x183 + 0.4741*x391*x191 - x191*x407 =E= 0;

e218.. 0.0054*x352*x152 + 0.0048*x360*x160 + 0.0619*x368*x168 + 0.4538*x384*
       x184 + 0.4741*x392*x192 - x192*x408 =E= 0;

e219.. 0.0021*x369*x169 + 0.1417*x377*x177 + 0.8562*x393*x193 - x193*x401 =E= 0
       ;

e220.. 0.0021*x370*x170 + 0.1417*x378*x178 + 0.8562*x394*x194 - x194*x402 =E= 0
       ;

e221.. 0.0021*x371*x171 + 0.1417*x379*x179 + 0.8562*x395*x195 - x195*x403 =E= 0
       ;

e222.. 0.0021*x372*x172 + 0.1417*x380*x180 + 0.8562*x396*x196 - x196*x404 =E= 0
       ;

e223.. 0.0021*x373*x173 + 0.1417*x381*x181 + 0.8562*x397*x197 - x197*x405 =E= 0
       ;

e224.. 0.0021*x374*x174 + 0.1417*x382*x182 + 0.8562*x398*x198 - x198*x406 =E= 0
       ;

e225.. 0.0021*x375*x175 + 0.1417*x383*x183 + 0.8562*x399*x199 - x199*x407 =E= 0
       ;

e226.. 0.0021*x376*x176 + 0.1417*x384*x184 + 0.8562*x400*x200 - x200*x408 =E= 0
       ;

e227.. -(x201 - 0.1092*x201*x1) + x202 =E= 0;

e228.. -(x202 - 0.1092*x202*x2) + x203 =E= 0;

e229.. -(x203 - 0.1092*x203*x3) + x204 =E= 0;

e230.. -(x204 - 0.1092*x204*x4) + x205 =E= 0;

e231.. -(x205 - 0.1092*x205*x5) + x206 =E= 0;

e232.. -(x206 - 0.1092*x206*x6) + x207 =E= 0;

e233.. -(x207 - 0.1092*x207*x7) + x208 =E= 0;

e234.. -(x209 - 0.1092*x209*x9) + x210 =E= 0;

e235.. -(x210 - 0.1092*x210*x10) + x211 =E= 0;

e236.. -(x211 - 0.1092*x211*x11) + x212 =E= 0;

e237.. -(x212 - 0.1092*x212*x12) + x213 =E= 0;

e238.. -(x213 - 0.1092*x213*x13) + x214 =E= 0;

e239.. -(x214 - 0.1092*x214*x14) + x215 =E= 0;

e240.. -(x215 - 0.1092*x215*x15) + x216 =E= 0;

e241.. -(x217 - 0.1092*x217*x17) + x218 =E= 0;

e242.. -(x218 - 0.1092*x218*x18) + x219 =E= 0;

e243.. -(x219 - 0.1092*x219*x19) + x220 =E= 0;

e244.. -(x220 - 0.1092*x220*x20) + x221 =E= 0;

e245.. -(x221 - 0.1092*x221*x21) + x222 =E= 0;

e246.. -(x222 - 0.1092*x222*x22) + x223 =E= 0;

e247.. -(x223 - 0.1092*x223*x23) + x224 =E= 0;

e248.. -(x225 - 0.1092*x225*x25) + x226 =E= 0;

e249.. -(x226 - 0.1092*x226*x26) + x227 =E= 0;

e250.. -(x227 - 0.1092*x227*x27) + x228 =E= 0;

e251.. -(x228 - 0.1092*x228*x28) + x229 =E= 0;

e252.. -(x229 - 0.1092*x229*x29) + x230 =E= 0;

e253.. -(x230 - 0.1092*x230*x30) + x231 =E= 0;

e254.. -(x231 - 0.1092*x231*x31) + x232 =E= 0;

e255.. -(x233 - 0.1092*x233*x33) + x234 =E= 0;

e256.. -(x234 - 0.1092*x234*x34) + x235 =E= 0;

e257.. -(x235 - 0.1092*x235*x35) + x236 =E= 0;

e258.. -(x236 - 0.1092*x236*x36) + x237 =E= 0;

e259.. -(x237 - 0.1092*x237*x37) + x238 =E= 0;

e260.. -(x238 - 0.1092*x238*x38) + x239 =E= 0;

e261.. -(x239 - 0.1092*x239*x39) + x240 =E= 0;

e262.. -(x241 - 0.1092*x241*x41) + x242 =E= 0;

e263.. -(x242 - 0.1092*x242*x42) + x243 =E= 0;

e264.. -(x243 - 0.1092*x243*x43) + x244 =E= 0;

e265.. -(x244 - 0.1092*x244*x44) + x245 =E= 0;

e266.. -(x245 - 0.1092*x245*x45) + x246 =E= 0;

e267.. -(x246 - 0.1092*x246*x46) + x247 =E= 0;

e268.. -(x247 - 0.1092*x247*x47) + x248 =E= 0;

e269.. -(x249 - 0.1092*x249*x49) + x250 =E= 0;

e270.. -(x250 - 0.1092*x250*x50) + x251 =E= 0;

e271.. -(x251 - 0.1092*x251*x51) + x252 =E= 0;

e272.. -(x252 - 0.1092*x252*x52) + x253 =E= 0;

e273.. -(x253 - 0.1092*x253*x53) + x254 =E= 0;

e274.. -(x254 - 0.1092*x254*x54) + x255 =E= 0;

e275.. -(x255 - 0.1092*x255*x55) + x256 =E= 0;

e276.. -(x257 - 0.1092*x257*x57) + x258 =E= 0;

e277.. -(x258 - 0.1092*x258*x58) + x259 =E= 0;

e278.. -(x259 - 0.1092*x259*x59) + x260 =E= 0;

e279.. -(x260 - 0.1092*x260*x60) + x261 =E= 0;

e280.. -(x261 - 0.1092*x261*x61) + x262 =E= 0;

e281.. -(x262 - 0.1092*x262*x62) + x263 =E= 0;

e282.. -(x263 - 0.1092*x263*x63) + x264 =E= 0;

e283.. -(x265 - 0.1092*x265*x65) + x266 =E= 0;

e284.. -(x266 - 0.1092*x266*x66) + x267 =E= 0;

e285.. -(x267 - 0.1092*x267*x67) + x268 =E= 0;

e286.. -(x268 - 0.1092*x268*x68) + x269 =E= 0;

e287.. -(x269 - 0.1092*x269*x69) + x270 =E= 0;

e288.. -(x270 - 0.1092*x270*x70) + x271 =E= 0;

e289.. -(x271 - 0.1092*x271*x71) + x272 =E= 0;

e290.. -(x273 - 0.1092*x273*x73) + x274 =E= 0;

e291.. -(x274 - 0.1092*x274*x74) + x275 =E= 0;

e292.. -(x275 - 0.1092*x275*x75) + x276 =E= 0;

e293.. -(x276 - 0.1092*x276*x76) + x277 =E= 0;

e294.. -(x277 - 0.1092*x277*x77) + x278 =E= 0;

e295.. -(x278 - 0.1092*x278*x78) + x279 =E= 0;

e296.. -(x279 - 0.1092*x279*x79) + x280 =E= 0;

e297.. -(x281 - 0.1092*x281*x81) + x282 =E= 0;

e298.. -(x282 - 0.1092*x282*x82) + x283 =E= 0;

e299.. -(x283 - 0.1092*x283*x83) + x284 =E= 0;

e300.. -(x284 - 0.1092*x284*x84) + x285 =E= 0;

e301.. -(x285 - 0.1092*x285*x85) + x286 =E= 0;

e302.. -(x286 - 0.1092*x286*x86) + x287 =E= 0;

e303.. -(x287 - 0.1092*x287*x87) + x288 =E= 0;

e304.. -(x289 - 0.1092*x289*x89) + x290 =E= 0;

e305.. -(x290 - 0.1092*x290*x90) + x291 =E= 0;

e306.. -(x291 - 0.1092*x291*x91) + x292 =E= 0;

e307.. -(x292 - 0.1092*x292*x92) + x293 =E= 0;

e308.. -(x293 - 0.1092*x293*x93) + x294 =E= 0;

e309.. -(x294 - 0.1092*x294*x94) + x295 =E= 0;

e310.. -(x295 - 0.1092*x295*x95) + x296 =E= 0;

e311.. -(x297 - 0.1092*x297*x97) + x298 =E= 0;

e312.. -(x298 - 0.1092*x298*x98) + x299 =E= 0;

e313.. -(x299 - 0.1092*x299*x99) + x300 =E= 0;

e314.. -(x300 - 0.1092*x300*x100) + x301 =E= 0;

e315.. -(x301 - 0.1092*x301*x101) + x302 =E= 0;

e316.. -(x302 - 0.1092*x302*x102) + x303 =E= 0;

e317.. -(x303 - 0.1092*x303*x103) + x304 =E= 0;

e318.. -(x305 - 0.1092*x305*x105) + x306 =E= 0;

e319.. -(x306 - 0.1092*x306*x106) + x307 =E= 0;

e320.. -(x307 - 0.1092*x307*x107) + x308 =E= 0;

e321.. -(x308 - 0.1092*x308*x108) + x309 =E= 0;

e322.. -(x309 - 0.1092*x309*x109) + x310 =E= 0;

e323.. -(x310 - 0.1092*x310*x110) + x311 =E= 0;

e324.. -(x311 - 0.1092*x311*x111) + x312 =E= 0;

e325.. -(x313 - 0.1092*x313*x113) + x314 =E= 0;

e326.. -(x314 - 0.1092*x314*x114) + x315 =E= 0;

e327.. -(x315 - 0.1092*x315*x115) + x316 =E= 0;

e328.. -(x316 - 0.1092*x316*x116) + x317 =E= 0;

e329.. -(x317 - 0.1092*x317*x117) + x318 =E= 0;

e330.. -(x318 - 0.1092*x318*x118) + x319 =E= 0;

e331.. -(x319 - 0.1092*x319*x119) + x320 =E= 0;

e332.. -(x321 - 0.1092*x321*x121) + x322 =E= 0;

e333.. -(x322 - 0.1092*x322*x122) + x323 =E= 0;

e334.. -(x323 - 0.1092*x323*x123) + x324 =E= 0;

e335.. -(x324 - 0.1092*x324*x124) + x325 =E= 0;

e336.. -(x325 - 0.1092*x325*x125) + x326 =E= 0;

e337.. -(x326 - 0.1092*x326*x126) + x327 =E= 0;

e338.. -(x327 - 0.1092*x327*x127) + x328 =E= 0;

e339.. -(x329 - 0.1092*x329*x129) + x330 =E= 0;

e340.. -(x330 - 0.1092*x330*x130) + x331 =E= 0;

e341.. -(x331 - 0.1092*x331*x131) + x332 =E= 0;

e342.. -(x332 - 0.1092*x332*x132) + x333 =E= 0;

e343.. -(x333 - 0.1092*x333*x133) + x334 =E= 0;

e344.. -(x334 - 0.1092*x334*x134) + x335 =E= 0;

e345.. -(x335 - 0.1092*x335*x135) + x336 =E= 0;

e346.. -(x337 - 0.1092*x337*x137) + x338 =E= 0;

e347.. -(x338 - 0.1092*x338*x138) + x339 =E= 0;

e348.. -(x339 - 0.1092*x339*x139) + x340 =E= 0;

e349.. -(x340 - 0.1092*x340*x140) + x341 =E= 0;

e350.. -(x341 - 0.1092*x341*x141) + x342 =E= 0;

e351.. -(x342 - 0.1092*x342*x142) + x343 =E= 0;

e352.. -(x343 - 0.1092*x343*x143) + x344 =E= 0;

e353.. -(x345 - 0.1092*x345*x145) + x346 =E= 0;

e354.. -(x346 - 0.1092*x346*x146) + x347 =E= 0;

e355.. -(x347 - 0.1092*x347*x147) + x348 =E= 0;

e356.. -(x348 - 0.1092*x348*x148) + x349 =E= 0;

e357.. -(x349 - 0.1092*x349*x149) + x350 =E= 0;

e358.. -(x350 - 0.1092*x350*x150) + x351 =E= 0;

e359.. -(x351 - 0.1092*x351*x151) + x352 =E= 0;

e360.. -(x353 - 0.1092*x353*x153) + x354 =E= 0;

e361.. -(x354 - 0.1092*x354*x154) + x355 =E= 0;

e362.. -(x355 - 0.1092*x355*x155) + x356 =E= 0;

e363.. -(x356 - 0.1092*x356*x156) + x357 =E= 0;

e364.. -(x357 - 0.1092*x357*x157) + x358 =E= 0;

e365.. -(x358 - 0.1092*x358*x158) + x359 =E= 0;

e366.. -(x359 - 0.1092*x359*x159) + x360 =E= 0;

e367.. -(x361 - 0.1092*x361*x161) + x362 =E= 0;

e368.. -(x362 - 0.1092*x362*x162) + x363 =E= 0;

e369.. -(x363 - 0.1092*x363*x163) + x364 =E= 0;

e370.. -(x364 - 0.1092*x364*x164) + x365 =E= 0;

e371.. -(x365 - 0.1092*x365*x165) + x366 =E= 0;

e372.. -(x366 - 0.1092*x366*x166) + x367 =E= 0;

e373.. -(x367 - 0.1092*x367*x167) + x368 =E= 0;

e374.. -(x369 - 0.1092*x369*x169) + x370 =E= 0;

e375.. -(x370 - 0.1092*x370*x170) + x371 =E= 0;

e376.. -(x371 - 0.1092*x371*x171) + x372 =E= 0;

e377.. -(x372 - 0.1092*x372*x172) + x373 =E= 0;

e378.. -(x373 - 0.1092*x373*x173) + x374 =E= 0;

e379.. -(x374 - 0.1092*x374*x174) + x375 =E= 0;

e380.. -(x375 - 0.1092*x375*x175) + x376 =E= 0;

e381.. -(x377 - 0.1092*x377*x177) + x378 =E= 0;

e382.. -(x378 - 0.1092*x378*x178) + x379 =E= 0;

e383.. -(x379 - 0.1092*x379*x179) + x380 =E= 0;

e384.. -(x380 - 0.1092*x380*x180) + x381 =E= 0;

e385.. -(x381 - 0.1092*x381*x181) + x382 =E= 0;

e386.. -(x382 - 0.1092*x382*x182) + x383 =E= 0;

e387.. -(x383 - 0.1092*x383*x183) + x384 =E= 0;

e388.. -(x385 - 0.1092*x385*x185) + x386 =E= 0;

e389.. -(x386 - 0.1092*x386*x186) + x387 =E= 0;

e390.. -(x387 - 0.1092*x387*x187) + x388 =E= 0;

e391.. -(x388 - 0.1092*x388*x188) + x389 =E= 0;

e392.. -(x389 - 0.1092*x389*x189) + x390 =E= 0;

e393.. -(x390 - 0.1092*x390*x190) + x391 =E= 0;

e394.. -(x391 - 0.1092*x391*x191) + x392 =E= 0;

e395.. -(x393 - 0.1092*x393*x193) + x394 =E= 0;

e396.. -(x394 - 0.1092*x394*x194) + x395 =E= 0;

e397.. -(x395 - 0.1092*x395*x195) + x396 =E= 0;

e398.. -(x396 - 0.1092*x396*x196) + x397 =E= 0;

e399.. -(x397 - 0.1092*x397*x197) + x398 =E= 0;

e400.. -(x398 - 0.1092*x398*x198) + x399 =E= 0;

e401.. -(x399 - 0.1092*x399*x199) + x400 =E= 0;

e402.. x201*x1 + x209*x9 + x217*x17 + x225*x25 + x233*x33 + x241*x41 + x249*x49
        + x257*x57 + x265*x65 + x273*x73 + x281*x81 + x289*x89 + x297*x97 + 
       x305*x105 + x313*x113 + x321*x121 + x329*x129 + x337*x137 + x345*x145 + 
       x353*x153 + x361*x161 + x369*x169 + x377*x177 + x385*x185 + x393*x193
        =E= 1;

e403.. x202*x2 + x210*x10 + x218*x18 + x226*x26 + x234*x34 + x242*x42 + x250*
       x50 + x258*x58 + x266*x66 + x274*x74 + x282*x82 + x290*x90 + x298*x98 + 
       x306*x106 + x314*x114 + x322*x122 + x330*x130 + x338*x138 + x346*x146 + 
       x354*x154 + x362*x162 + x370*x170 + x378*x178 + x386*x186 + x394*x194
        =E= 1;

e404.. x203*x3 + x211*x11 + x219*x19 + x227*x27 + x235*x35 + x243*x43 + x251*
       x51 + x259*x59 + x267*x67 + x275*x75 + x283*x83 + x291*x91 + x299*x99 + 
       x307*x107 + x315*x115 + x323*x123 + x331*x131 + x339*x139 + x347*x147 + 
       x355*x155 + x363*x163 + x371*x171 + x379*x179 + x387*x187 + x395*x195
        =E= 1;

e405.. x204*x4 + x212*x12 + x220*x20 + x228*x28 + x236*x36 + x244*x44 + x252*
       x52 + x260*x60 + x268*x68 + x276*x76 + x284*x84 + x292*x92 + x300*x100
        + x308*x108 + x316*x116 + x324*x124 + x332*x132 + x340*x140 + x348*x148
        + x356*x156 + x364*x164 + x372*x172 + x380*x180 + x388*x188 + x396*x196
        =E= 1;

e406.. x205*x5 + x213*x13 + x221*x21 + x229*x29 + x237*x37 + x245*x45 + x253*
       x53 + x261*x61 + x269*x69 + x277*x77 + x285*x85 + x293*x93 + x301*x101
        + x309*x109 + x317*x117 + x325*x125 + x333*x133 + x341*x141 + x349*x149
        + x357*x157 + x365*x165 + x373*x173 + x381*x181 + x389*x189 + x397*x197
        =E= 1;

e407.. x206*x6 + x214*x14 + x222*x22 + x230*x30 + x238*x38 + x246*x46 + x254*
       x54 + x262*x62 + x270*x70 + x278*x78 + x286*x86 + x294*x94 + x302*x102
        + x310*x110 + x318*x118 + x326*x126 + x334*x134 + x342*x142 + x350*x150
        + x358*x158 + x366*x166 + x374*x174 + x382*x182 + x390*x190 + x398*x198
        =E= 1;

e408.. x207*x7 + x215*x15 + x223*x23 + x231*x31 + x239*x39 + x247*x47 + x255*
       x55 + x263*x63 + x271*x71 + x279*x79 + x287*x87 + x295*x95 + x303*x103
        + x311*x111 + x319*x119 + x327*x127 + x335*x135 + x343*x143 + x351*x151
        + x359*x159 + x367*x167 + x375*x175 + x383*x183 + x391*x191 + x399*x199
        =E= 1;

e409.. x208*x8 + x216*x16 + x224*x24 + x232*x32 + x240*x40 + x248*x48 + x256*
       x56 + x264*x64 + x272*x72 + x280*x80 + x288*x88 + x296*x96 + x304*x104
        + x312*x112 + x320*x120 + x328*x128 + x336*x136 + x344*x144 + x352*x152
        + x360*x160 + x368*x168 + x376*x176 + x384*x184 + x392*x192 + x400*x200
        =E= 1;

e410.. x201*x1 =L= 0.08;

e411.. x202*x2 =L= 0.08;

e412.. x203*x3 =L= 0.08;

e413.. x204*x4 =L= 0.08;

e414.. x205*x5 =L= 0.08;

e415.. x206*x6 =L= 0.08;

e416.. x207*x7 =L= 0.08;

e417.. x208*x8 =L= 0.08;

e418.. x209*x9 =L= 0.08;

e419.. x210*x10 =L= 0.08;

e420.. x211*x11 =L= 0.08;

e421.. x212*x12 =L= 0.08;

e422.. x213*x13 =L= 0.08;

e423.. x214*x14 =L= 0.08;

e424.. x215*x15 =L= 0.08;

e425.. x216*x16 =L= 0.08;

e426.. x217*x17 =L= 0.08;

e427.. x218*x18 =L= 0.08;

e428.. x219*x19 =L= 0.08;

e429.. x220*x20 =L= 0.08;

e430.. x221*x21 =L= 0.08;

e431.. x222*x22 =L= 0.08;

e432.. x223*x23 =L= 0.08;

e433.. x224*x24 =L= 0.08;

e434.. x225*x25 =L= 0.08;

e435.. x226*x26 =L= 0.08;

e436.. x227*x27 =L= 0.08;

e437.. x228*x28 =L= 0.08;

e438.. x229*x29 =L= 0.08;

e439.. x230*x30 =L= 0.08;

e440.. x231*x31 =L= 0.08;

e441.. x232*x32 =L= 0.08;

e442.. x233*x33 =L= 0.08;

e443.. x234*x34 =L= 0.08;

e444.. x235*x35 =L= 0.08;

e445.. x236*x36 =L= 0.08;

e446.. x237*x37 =L= 0.08;

e447.. x238*x38 =L= 0.08;

e448.. x239*x39 =L= 0.08;

e449.. x240*x40 =L= 0.08;

e450.. x241*x41 =L= 0.08;

e451.. x242*x42 =L= 0.08;

e452.. x243*x43 =L= 0.08;

e453.. x244*x44 =L= 0.08;

e454.. x245*x45 =L= 0.08;

e455.. x246*x46 =L= 0.08;

e456.. x247*x47 =L= 0.08;

e457.. x248*x48 =L= 0.08;

e458.. x249*x49 =L= 0.08;

e459.. x250*x50 =L= 0.08;

e460.. x251*x51 =L= 0.08;

e461.. x252*x52 =L= 0.08;

e462.. x253*x53 =L= 0.08;

e463.. x254*x54 =L= 0.08;

e464.. x255*x55 =L= 0.08;

e465.. x256*x56 =L= 0.08;

e466.. x257*x57 =L= 0.08;

e467.. x258*x58 =L= 0.08;

e468.. x259*x59 =L= 0.08;

e469.. x260*x60 =L= 0.08;

e470.. x261*x61 =L= 0.08;

e471.. x262*x62 =L= 0.08;

e472.. x263*x63 =L= 0.08;

e473.. x264*x64 =L= 0.08;

e474.. x265*x65 =L= 0.08;

e475.. x266*x66 =L= 0.08;

e476.. x267*x67 =L= 0.08;

e477.. x268*x68 =L= 0.08;

e478.. x269*x69 =L= 0.08;

e479.. x270*x70 =L= 0.08;

e480.. x271*x71 =L= 0.08;

e481.. x272*x72 =L= 0.08;

e482.. x273*x73 =L= 0.08;

e483.. x274*x74 =L= 0.08;

e484.. x275*x75 =L= 0.08;

e485.. x276*x76 =L= 0.08;

e486.. x277*x77 =L= 0.08;

e487.. x278*x78 =L= 0.08;

e488.. x279*x79 =L= 0.08;

e489.. x280*x80 =L= 0.08;

e490.. x281*x81 =L= 0.08;

e491.. x282*x82 =L= 0.08;

e492.. x283*x83 =L= 0.08;

e493.. x284*x84 =L= 0.08;

e494.. x285*x85 =L= 0.08;

e495.. x286*x86 =L= 0.08;

e496.. x287*x87 =L= 0.08;

e497.. x288*x88 =L= 0.08;

e498.. x289*x89 =L= 0.08;

e499.. x290*x90 =L= 0.08;

e500.. x291*x91 =L= 0.08;

e501.. x292*x92 =L= 0.08;

e502.. x293*x93 =L= 0.08;

e503.. x294*x94 =L= 0.08;

e504.. x295*x95 =L= 0.08;

e505.. x296*x96 =L= 0.08;

e506.. x297*x97 =L= 0.08;

e507.. x298*x98 =L= 0.08;

e508.. x299*x99 =L= 0.08;

e509.. x300*x100 =L= 0.08;

e510.. x301*x101 =L= 0.08;

e511.. x302*x102 =L= 0.08;

e512.. x303*x103 =L= 0.08;

e513.. x304*x104 =L= 0.08;

e514.. x305*x105 =L= 0.08;

e515.. x306*x106 =L= 0.08;

e516.. x307*x107 =L= 0.08;

e517.. x308*x108 =L= 0.08;

e518.. x309*x109 =L= 0.08;

e519.. x310*x110 =L= 0.08;

e520.. x311*x111 =L= 0.08;

e521.. x312*x112 =L= 0.08;

e522.. x313*x113 =L= 0.08;

e523.. x314*x114 =L= 0.08;

e524.. x315*x115 =L= 0.08;

e525.. x316*x116 =L= 0.08;

e526.. x317*x117 =L= 0.08;

e527.. x318*x118 =L= 0.08;

e528.. x319*x119 =L= 0.08;

e529.. x320*x120 =L= 0.08;

e530.. x321*x121 =L= 0.08;

e531.. x322*x122 =L= 0.08;

e532.. x323*x123 =L= 0.08;

e533.. x324*x124 =L= 0.08;

e534.. x325*x125 =L= 0.08;

e535.. x326*x126 =L= 0.08;

e536.. x327*x127 =L= 0.08;

e537.. x328*x128 =L= 0.08;

e538.. x329*x129 =L= 0.08;

e539.. x330*x130 =L= 0.08;

e540.. x331*x131 =L= 0.08;

e541.. x332*x132 =L= 0.08;

e542.. x333*x133 =L= 0.08;

e543.. x334*x134 =L= 0.08;

e544.. x335*x135 =L= 0.08;

e545.. x336*x136 =L= 0.08;

e546.. x337*x137 =L= 0.08;

e547.. x338*x138 =L= 0.08;

e548.. x339*x139 =L= 0.08;

e549.. x340*x140 =L= 0.08;

e550.. x341*x141 =L= 0.08;

e551.. x342*x142 =L= 0.08;

e552.. x343*x143 =L= 0.08;

e553.. x344*x144 =L= 0.08;

e554.. x345*x145 =L= 0.08;

e555.. x346*x146 =L= 0.08;

e556.. x347*x147 =L= 0.08;

e557.. x348*x148 =L= 0.08;

e558.. x349*x149 =L= 0.08;

e559.. x350*x150 =L= 0.08;

e560.. x351*x151 =L= 0.08;

e561.. x352*x152 =L= 0.08;

e562.. x353*x153 =L= 0.08;

e563.. x354*x154 =L= 0.08;

e564.. x355*x155 =L= 0.08;

e565.. x356*x156 =L= 0.08;

e566.. x357*x157 =L= 0.08;

e567.. x358*x158 =L= 0.08;

e568.. x359*x159 =L= 0.08;

e569.. x360*x160 =L= 0.08;

e570.. x361*x161 =L= 0.08;

e571.. x362*x162 =L= 0.08;

e572.. x363*x163 =L= 0.08;

e573.. x364*x164 =L= 0.08;

e574.. x365*x165 =L= 0.08;

e575.. x366*x166 =L= 0.08;

e576.. x367*x167 =L= 0.08;

e577.. x368*x168 =L= 0.08;

e578.. x369*x169 =L= 0.08;

e579.. x370*x170 =L= 0.08;

e580.. x371*x171 =L= 0.08;

e581.. x372*x172 =L= 0.08;

e582.. x373*x173 =L= 0.08;

e583.. x374*x174 =L= 0.08;

e584.. x375*x175 =L= 0.08;

e585.. x376*x176 =L= 0.08;

e586.. x377*x177 =L= 0.08;

e587.. x378*x178 =L= 0.08;

e588.. x379*x179 =L= 0.08;

e589.. x380*x180 =L= 0.08;

e590.. x381*x181 =L= 0.08;

e591.. x382*x182 =L= 0.08;

e592.. x383*x183 =L= 0.08;

e593.. x384*x184 =L= 0.08;

e594.. x385*x185 =L= 0.08;

e595.. x386*x186 =L= 0.08;

e596.. x387*x187 =L= 0.08;

e597.. x388*x188 =L= 0.08;

e598.. x389*x189 =L= 0.08;

e599.. x390*x190 =L= 0.08;

e600.. x391*x191 =L= 0.08;

e601.. x392*x192 =L= 0.08;

e602.. x393*x193 =L= 0.08;

e603.. x394*x194 =L= 0.08;

e604.. x395*x195 =L= 0.08;

e605.. x396*x196 =L= 0.08;

e606.. x397*x197 =L= 0.08;

e607.. x398*x198 =L= 0.08;

e608.. x399*x199 =L= 0.08;

e609.. x400*x200 =L= 0.08;

e610..    b409 + 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 =E= 1;

e611..    b410 + 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 =E= 1;

e612..    b411 + 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 =E= 1;

e613..    b412 + 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 =E= 1;

e614..    b413 + 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 =E= 1;

e615..    b414 + 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 =E= 1;

e616..    b415 + 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 =E= 1;

e617..    b416 + 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 =E= 1;

e618..    b417 + 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 =E= 1;

e619..    b418 + 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 =E= 1;

e620..    b419 + 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 =E= 1;

e621..    b420 + 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 =E= 1;

e622..    b421 + 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 =E= 1;

e623..    b422 + 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 =E= 1;

e624..    b423 + 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 =E= 1;

e625..    b424 + 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 =E= 1;

e626..    b425 + 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 =E= 1;

e627..    b426 + 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 =E= 1;

e628..    b427 + 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 =E= 1;

e629..    b428 + 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 =E= 1;

e630..    b429 + 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 =E= 1;

e631..    b430 + 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 =E= 1;

e632..    b431 + 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 =E= 1;

e633..    b432 + 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 =E= 1;

e634..    b433 + b1034 + b1035 + b1036 + b1037 + b1038 + b1039 + b1040 + b1041
        + b1042 + b1043 + b1044 + b1045 + b1046 + b1047 + b1048 + b1049 + b1050
        + b1051 + b1052 + b1053 + b1054 + b1055 + b1056 + b1057 + b1058 =E= 1;

e635..    b434 + b459 + b484 + b509 + b534 + b559 + b584 + b609 + b634 + b659
        + b684 + b709 + b734 + b759 + b784 + b809 + b834 + b859 + b884 + b909
        + b934 + b959 + b984 + b1009 + b1034 =L= 1;

e636..    b435 + b460 + b485 + b510 + b535 + b560 + b585 + b610 + b635 + b660
        + b685 + b710 + b735 + b760 + b785 + b810 + b835 + b860 + b885 + b910
        + b935 + b960 + b985 + b1010 + b1035 =L= 1;

e637..    b436 + b461 + b486 + b511 + b536 + b561 + b586 + b611 + b636 + b661
        + b686 + b711 + b736 + b761 + b786 + b811 + b836 + b861 + b886 + b911
        + b936 + b961 + b986 + b1011 + b1036 =L= 1;

e638..    b437 + b462 + b487 + b512 + b537 + b562 + b587 + b612 + b637 + b662
        + b687 + b712 + b737 + b762 + b787 + b812 + b837 + b862 + b887 + b912
        + b937 + b962 + b987 + b1012 + b1037 =L= 1;

e639..    b438 + b463 + b488 + b513 + b538 + b563 + b588 + b613 + b638 + b663
        + b688 + b713 + b738 + b763 + b788 + b813 + b838 + b863 + b888 + b913
        + b938 + b963 + b988 + b1013 + b1038 =L= 1;

e640..    b439 + b464 + b489 + b514 + b539 + b564 + b589 + b614 + b639 + b664
        + b689 + b714 + b739 + b764 + b789 + b814 + b839 + b864 + b889 + b914
        + b939 + b964 + b989 + b1014 + b1039 =L= 1;

e641..    b440 + b465 + b490 + b515 + b540 + b565 + b590 + b615 + b640 + b665
        + b690 + b715 + b740 + b765 + b790 + b815 + b840 + b865 + b890 + b915
        + b940 + b965 + b990 + b1015 + b1040 =L= 1;

e642..    b441 + b466 + b491 + b516 + b541 + b566 + b591 + b616 + b641 + b666
        + b691 + b716 + b741 + b766 + b791 + b816 + b841 + b866 + b891 + b916
        + b941 + b966 + b991 + b1016 + b1041 =L= 1;

e643..    b442 + b467 + b492 + b517 + b542 + b567 + b592 + b617 + b642 + b667
        + b692 + b717 + b742 + b767 + b792 + b817 + b842 + b867 + b892 + b917
        + b942 + b967 + b992 + b1017 + b1042 =L= 1;

e644..    b443 + b468 + b493 + b518 + b543 + b568 + b593 + b618 + b643 + b668
        + b693 + b718 + b743 + b768 + b793 + b818 + b843 + b868 + b893 + b918
        + b943 + b968 + b993 + b1018 + b1043 =L= 1;

e645..    b444 + b469 + b494 + b519 + b544 + b569 + b594 + b619 + b644 + b669
        + b694 + b719 + b744 + b769 + b794 + b819 + b844 + b869 + b894 + b919
        + b944 + b969 + b994 + b1019 + b1044 =L= 1;

e646..    b445 + b470 + b495 + b520 + b545 + b570 + b595 + b620 + b645 + b670
        + b695 + b720 + b745 + b770 + b795 + b820 + b845 + b870 + b895 + b920
        + b945 + b970 + b995 + b1020 + b1045 =L= 1;

e647..    b446 + b471 + b496 + b521 + b546 + b571 + b596 + b621 + b646 + b671
        + b696 + b721 + b746 + b771 + b796 + b821 + b846 + b871 + b896 + b921
        + b946 + b971 + b996 + b1021 + b1046 =L= 1;

e648..    b447 + b472 + b497 + b522 + b547 + b572 + b597 + b622 + b647 + b672
        + b697 + b722 + b747 + b772 + b797 + b822 + b847 + b872 + b897 + b922
        + b947 + b972 + b997 + b1022 + b1047 =L= 1;

e649..    b448 + b473 + b498 + b523 + b548 + b573 + b598 + b623 + b648 + b673
        + b698 + b723 + b748 + b773 + b798 + b823 + b848 + b873 + b898 + b923
        + b948 + b973 + b998 + b1023 + b1048 =L= 1;

e650..    b449 + b474 + b499 + b524 + b549 + b574 + b599 + b624 + b649 + b674
        + b699 + b724 + b749 + b774 + b799 + b824 + b849 + b874 + b899 + b924
        + b949 + b974 + b999 + b1024 + b1049 =L= 1;

e651..    b450 + b475 + b500 + b525 + b550 + b575 + b600 + b625 + b650 + b675
        + b700 + b725 + b750 + b775 + b800 + b825 + b850 + b875 + b900 + b925
        + b950 + b975 + b1000 + b1025 + b1050 =L= 1;

e652..    b451 + b476 + b501 + b526 + b551 + b576 + b601 + b626 + b651 + b676
        + b701 + b726 + b751 + b776 + b801 + b826 + b851 + b876 + b901 + b926
        + b951 + b976 + b1001 + b1026 + b1051 =L= 1;

e653..    b452 + b477 + b502 + b527 + b552 + b577 + b602 + b627 + b652 + b677
        + b702 + b727 + b752 + b777 + b802 + b827 + b852 + b877 + b902 + b927
        + b952 + b977 + b1002 + b1027 + b1052 =L= 1;

e654..    b453 + b478 + b503 + b528 + b553 + b578 + b603 + b628 + b653 + b678
        + b703 + b728 + b753 + b778 + b803 + b828 + b853 + b878 + b903 + b928
        + b953 + b978 + b1003 + b1028 + b1053 =L= 1;

e655..    b454 + b479 + b504 + b529 + b554 + b579 + b604 + b629 + b654 + b679
        + b704 + b729 + b754 + b779 + b804 + b829 + b854 + b879 + b904 + b929
        + b954 + b979 + b1004 + b1029 + b1054 =L= 1;

e656..    b455 + b480 + b505 + b530 + b555 + b580 + b605 + b630 + b655 + b680
        + b705 + b730 + b755 + b780 + b805 + b830 + b855 + b880 + b905 + b930
        + b955 + b980 + b1005 + b1030 + b1055 =L= 1;

e657..    b456 + b481 + b506 + b531 + b556 + b581 + b606 + b631 + b656 + b681
        + b706 + b731 + b756 + b781 + b806 + b831 + b856 + b881 + b906 + b931
        + b956 + b981 + b1006 + b1031 + b1056 =L= 1;

e658..    b457 + b482 + b507 + b532 + b557 + b582 + b607 + b632 + b657 + b682
        + b707 + b732 + b757 + b782 + b807 + b832 + b857 + b882 + b907 + b932
        + b957 + b982 + b1007 + b1032 + b1057 =L= 1;

e659..    b458 + b483 + b508 + b533 + b558 + b583 + b608 + b633 + b658 + b683
        + b708 + b733 + b758 + b783 + b808 + b833 + b858 + b883 + b908 + b933
        + b958 + b983 + b1008 + b1033 + b1058 =L= 1;

e660..    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 =E= 5;

* set non-default bounds
x1.lo = 0.00333333333333333;
x2.lo = 0.00333333333333333;
x3.lo = 0.00333333333333333;
x4.lo = 0.00333333333333333;
x5.lo = 0.00333333333333333;
x6.lo = 0.00333333333333333;
x7.lo = 0.00333333333333333;
x8.lo = 0.00333333333333333;
x9.lo = 0.00333333333333333;
x10.lo = 0.00333333333333333;
x11.lo = 0.00333333333333333;
x12.lo = 0.00333333333333333;
x13.lo = 0.00333333333333333;
x14.lo = 0.00333333333333333;
x15.lo = 0.00333333333333333;
x16.lo = 0.00333333333333333;
x17.lo = 0.00333333333333333;
x18.lo = 0.00333333333333333;
x19.lo = 0.00333333333333333;
x20.lo = 0.00333333333333333;
x21.lo = 0.00333333333333333;
x22.lo = 0.00333333333333333;
x23.lo = 0.00333333333333333;
x24.lo = 0.00333333333333333;
x25.lo = 0.00333333333333333;
x26.lo = 0.00333333333333333;
x27.lo = 0.00333333333333333;
x28.lo = 0.00333333333333333;
x29.lo = 0.00333333333333333;
x30.lo = 0.00333333333333333;
x31.lo = 0.00333333333333333;
x32.lo = 0.00333333333333333;
x33.lo = 0.00333333333333333;
x34.lo = 0.00333333333333333;
x35.lo = 0.00333333333333333;
x36.lo = 0.00333333333333333;
x37.lo = 0.00333333333333333;
x38.lo = 0.00333333333333333;
x39.lo = 0.00333333333333333;
x40.lo = 0.00333333333333333;
x41.lo = 0.00333333333333333;
x42.lo = 0.00333333333333333;
x43.lo = 0.00333333333333333;
x44.lo = 0.00333333333333333;
x45.lo = 0.00333333333333333;
x46.lo = 0.00333333333333333;
x47.lo = 0.00333333333333333;
x48.lo = 0.00333333333333333;
x49.lo = 0.00333333333333333;
x50.lo = 0.00333333333333333;
x51.lo = 0.00333333333333333;
x52.lo = 0.00333333333333333;
x53.lo = 0.00333333333333333;
x54.lo = 0.00333333333333333;
x55.lo = 0.00333333333333333;
x56.lo = 0.00333333333333333;
x57.lo = 0.00333333333333333;
x58.lo = 0.00333333333333333;
x59.lo = 0.00333333333333333;
x60.lo = 0.00333333333333333;
x61.lo = 0.00333333333333333;
x62.lo = 0.00333333333333333;
x63.lo = 0.00333333333333333;
x64.lo = 0.00333333333333333;
x65.lo = 0.00333333333333333;
x66.lo = 0.00333333333333333;
x67.lo = 0.00333333333333333;
x68.lo = 0.00333333333333333;
x69.lo = 0.00333333333333333;
x70.lo = 0.00333333333333333;
x71.lo = 0.00333333333333333;
x72.lo = 0.00333333333333333;
x73.lo = 0.00333333333333333;
x74.lo = 0.00333333333333333;
x75.lo = 0.00333333333333333;
x76.lo = 0.00333333333333333;
x77.lo = 0.00333333333333333;
x78.lo = 0.00333333333333333;
x79.lo = 0.00333333333333333;
x80.lo = 0.00333333333333333;
x81.lo = 0.00333333333333333;
x82.lo = 0.00333333333333333;
x83.lo = 0.00333333333333333;
x84.lo = 0.00333333333333333;
x85.lo = 0.00333333333333333;
x86.lo = 0.00333333333333333;
x87.lo = 0.00333333333333333;
x88.lo = 0.00333333333333333;
x89.lo = 0.00333333333333333;
x90.lo = 0.00333333333333333;
x91.lo = 0.00333333333333333;
x92.lo = 0.00333333333333333;
x93.lo = 0.00333333333333333;
x94.lo = 0.00333333333333333;
x95.lo = 0.00333333333333333;
x96.lo = 0.00333333333333333;
x97.lo = 0.00333333333333333;
x98.lo = 0.00333333333333333;
x99.lo = 0.00333333333333333;
x100.lo = 0.00333333333333333;
x101.lo = 0.00333333333333333;
x102.lo = 0.00333333333333333;
x103.lo = 0.00333333333333333;
x104.lo = 0.00333333333333333;
x105.lo = 0.00333333333333333;
x106.lo = 0.00333333333333333;
x107.lo = 0.00333333333333333;
x108.lo = 0.00333333333333333;
x109.lo = 0.00333333333333333;
x110.lo = 0.00333333333333333;
x111.lo = 0.00333333333333333;
x112.lo = 0.00333333333333333;
x113.lo = 0.00333333333333333;
x114.lo = 0.00333333333333333;
x115.lo = 0.00333333333333333;
x116.lo = 0.00333333333333333;
x117.lo = 0.00333333333333333;
x118.lo = 0.00333333333333333;
x119.lo = 0.00333333333333333;
x120.lo = 0.00333333333333333;
x121.lo = 0.00333333333333333;
x122.lo = 0.00333333333333333;
x123.lo = 0.00333333333333333;
x124.lo = 0.00333333333333333;
x125.lo = 0.00333333333333333;
x126.lo = 0.00333333333333333;
x127.lo = 0.00333333333333333;
x128.lo = 0.00333333333333333;
x129.lo = 0.00333333333333333;
x130.lo = 0.00333333333333333;
x131.lo = 0.00333333333333333;
x132.lo = 0.00333333333333333;
x133.lo = 0.00333333333333333;
x134.lo = 0.00333333333333333;
x135.lo = 0.00333333333333333;
x136.lo = 0.00333333333333333;
x137.lo = 0.00333333333333333;
x138.lo = 0.00333333333333333;
x139.lo = 0.00333333333333333;
x140.lo = 0.00333333333333333;
x141.lo = 0.00333333333333333;
x142.lo = 0.00333333333333333;
x143.lo = 0.00333333333333333;
x144.lo = 0.00333333333333333;
x145.lo = 0.00333333333333333;
x146.lo = 0.00333333333333333;
x147.lo = 0.00333333333333333;
x148.lo = 0.00333333333333333;
x149.lo = 0.00333333333333333;
x150.lo = 0.00333333333333333;
x151.lo = 0.00333333333333333;
x152.lo = 0.00333333333333333;
x153.lo = 0.00333333333333333;
x154.lo = 0.00333333333333333;
x155.lo = 0.00333333333333333;
x156.lo = 0.00333333333333333;
x157.lo = 0.00333333333333333;
x158.lo = 0.00333333333333333;
x159.lo = 0.00333333333333333;
x160.lo = 0.00333333333333333;
x161.lo = 0.00333333333333333;
x162.lo = 0.00333333333333333;
x163.lo = 0.00333333333333333;
x164.lo = 0.00333333333333333;
x165.lo = 0.00333333333333333;
x166.lo = 0.00333333333333333;
x167.lo = 0.00333333333333333;
x168.lo = 0.00333333333333333;
x169.lo = 0.00333333333333333;
x170.lo = 0.00333333333333333;
x171.lo = 0.00333333333333333;
x172.lo = 0.00333333333333333;
x173.lo = 0.00333333333333333;
x174.lo = 0.00333333333333333;
x175.lo = 0.00333333333333333;
x176.lo = 0.00333333333333333;
x177.lo = 0.00333333333333333;
x178.lo = 0.00333333333333333;
x179.lo = 0.00333333333333333;
x180.lo = 0.00333333333333333;
x181.lo = 0.00333333333333333;
x182.lo = 0.00333333333333333;
x183.lo = 0.00333333333333333;
x184.lo = 0.00333333333333333;
x185.lo = 0.00333333333333333;
x186.lo = 0.00333333333333333;
x187.lo = 0.00333333333333333;
x188.lo = 0.00333333333333333;
x189.lo = 0.00333333333333333;
x190.lo = 0.00333333333333333;
x191.lo = 0.00333333333333333;
x192.lo = 0.00333333333333333;
x193.lo = 0.00333333333333333;
x194.lo = 0.00333333333333333;
x195.lo = 0.00333333333333333;
x196.lo = 0.00333333333333333;
x197.lo = 0.00333333333333333;
x198.lo = 0.00333333333333333;
x199.lo = 0.00333333333333333;
x200.lo = 0.00333333333333333;
x201.lo = 0.12;
x202.lo = 0.12;
x203.lo = 0.12;
x204.lo = 0.12;
x205.lo = 0.12;
x206.lo = 0.12;
x207.lo = 0.12;
x208.lo = 0.12;
x209.lo = 0.12;
x210.lo = 0.12;
x211.lo = 0.12;
x212.lo = 0.12;
x213.lo = 0.12;
x214.lo = 0.12;
x215.lo = 0.12;
x216.lo = 0.12;
x217.lo = 0.12;
x218.lo = 0.12;
x219.lo = 0.12;
x220.lo = 0.12;
x221.lo = 0.12;
x222.lo = 0.12;
x223.lo = 0.12;
x224.lo = 0.12;
x225.lo = 0.12;
x226.lo = 0.12;
x227.lo = 0.12;
x228.lo = 0.12;
x229.lo = 0.12;
x230.lo = 0.12;
x231.lo = 0.12;
x232.lo = 0.12;
x233.lo = 0.12;
x234.lo = 0.12;
x235.lo = 0.12;
x236.lo = 0.12;
x237.lo = 0.12;
x238.lo = 0.12;
x239.lo = 0.12;
x240.lo = 0.12;
x241.lo = 0.12;
x242.lo = 0.12;
x243.lo = 0.12;
x244.lo = 0.12;
x245.lo = 0.12;
x246.lo = 0.12;
x247.lo = 0.12;
x248.lo = 0.12;
x249.lo = 0.12;
x250.lo = 0.12;
x251.lo = 0.12;
x252.lo = 0.12;
x253.lo = 0.12;
x254.lo = 0.12;
x255.lo = 0.12;
x256.lo = 0.12;
x257.lo = 0.12;
x258.lo = 0.12;
x259.lo = 0.12;
x260.lo = 0.12;
x261.lo = 0.12;
x262.lo = 0.12;
x263.lo = 0.12;
x264.lo = 0.12;
x265.lo = 0.12;
x266.lo = 0.12;
x267.lo = 0.12;
x268.lo = 0.12;
x269.lo = 0.12;
x270.lo = 0.12;
x271.lo = 0.12;
x272.lo = 0.12;
x273.lo = 0.12;
x274.lo = 0.12;
x275.lo = 0.12;
x276.lo = 0.12;
x277.lo = 0.12;
x278.lo = 0.12;
x279.lo = 0.12;
x280.lo = 0.12;
x281.lo = 0.12;
x282.lo = 0.12;
x283.lo = 0.12;
x284.lo = 0.12;
x285.lo = 0.12;
x286.lo = 0.12;
x287.lo = 0.12;
x288.lo = 0.12;
x289.lo = 0.12;
x290.lo = 0.12;
x291.lo = 0.12;
x292.lo = 0.12;
x293.lo = 0.12;
x294.lo = 0.12;
x295.lo = 0.12;
x296.lo = 0.12;
x297.lo = 0.12;
x298.lo = 0.12;
x299.lo = 0.12;
x300.lo = 0.12;
x301.lo = 0.12;
x302.lo = 0.12;
x303.lo = 0.12;
x304.lo = 0.12;
x305.lo = 0.12;
x306.lo = 0.12;
x307.lo = 0.12;
x308.lo = 0.12;
x309.lo = 0.12;
x310.lo = 0.12;
x311.lo = 0.12;
x312.lo = 0.12;
x313.lo = 0.12;
x314.lo = 0.12;
x315.lo = 0.12;
x316.lo = 0.12;
x317.lo = 0.12;
x318.lo = 0.12;
x319.lo = 0.12;
x320.lo = 0.12;
x321.lo = 0.12;
x322.lo = 0.12;
x323.lo = 0.12;
x324.lo = 0.12;
x325.lo = 0.12;
x326.lo = 0.12;
x327.lo = 0.12;
x328.lo = 0.12;
x329.lo = 0.12;
x330.lo = 0.12;
x331.lo = 0.12;
x332.lo = 0.12;
x333.lo = 0.12;
x334.lo = 0.12;
x335.lo = 0.12;
x336.lo = 0.12;
x337.lo = 0.12;
x338.lo = 0.12;
x339.lo = 0.12;
x340.lo = 0.12;
x341.lo = 0.12;
x342.lo = 0.12;
x343.lo = 0.12;
x344.lo = 0.12;
x345.lo = 0.12;
x346.lo = 0.12;
x347.lo = 0.12;
x348.lo = 0.12;
x349.lo = 0.12;
x350.lo = 0.12;
x351.lo = 0.12;
x352.lo = 0.12;
x353.lo = 0.12;
x354.lo = 0.12;
x355.lo = 0.12;
x356.lo = 0.12;
x357.lo = 0.12;
x358.lo = 0.12;
x359.lo = 0.12;
x360.lo = 0.12;
x361.lo = 0.12;
x362.lo = 0.12;
x363.lo = 0.12;
x364.lo = 0.12;
x365.lo = 0.12;
x366.lo = 0.12;
x367.lo = 0.12;
x368.lo = 0.12;
x369.lo = 0.12;
x370.lo = 0.12;
x371.lo = 0.12;
x372.lo = 0.12;
x373.lo = 0.12;
x374.lo = 0.12;
x375.lo = 0.12;
x376.lo = 0.12;
x377.lo = 0.12;
x378.lo = 0.12;
x379.lo = 0.12;
x380.lo = 0.12;
x381.lo = 0.12;
x382.lo = 0.12;
x383.lo = 0.12;
x384.lo = 0.12;
x385.lo = 0.12;
x386.lo = 0.12;
x387.lo = 0.12;
x388.lo = 0.12;
x389.lo = 0.12;
x390.lo = 0.12;
x391.lo = 0.12;
x392.lo = 0.12;
x393.lo = 0.12;
x394.lo = 0.12;
x395.lo = 0.12;
x396.lo = 0.12;
x397.lo = 0.12;
x398.lo = 0.12;
x399.lo = 0.12;
x400.lo = 0.12;

* set non-default levels
x1.l = 0.0333333333333333;
x2.l = 0.0333333333333333;
x3.l = 0.0333333333333333;
x4.l = 0.0333333333333333;
x5.l = 0.0333333333333333;
x6.l = 0.0333333333333333;
x7.l = 0.0333333333333333;
x8.l = 0.0333333333333333;
x9.l = 0.0333333333333333;
x10.l = 0.0333333333333333;
x11.l = 0.0333333333333333;
x12.l = 0.0333333333333333;
x13.l = 0.0333333333333333;
x14.l = 0.0333333333333333;
x15.l = 0.0333333333333333;
x16.l = 0.0333333333333333;
x17.l = 0.0333333333333333;
x18.l = 0.0333333333333333;
x19.l = 0.0333333333333333;
x20.l = 0.0333333333333333;
x21.l = 0.0333333333333333;
x22.l = 0.0333333333333333;
x23.l = 0.0333333333333333;
x24.l = 0.0333333333333333;
x25.l = 0.0333333333333333;
x26.l = 0.0333333333333333;
x27.l = 0.0333333333333333;
x28.l = 0.0333333333333333;
x29.l = 0.0333333333333333;
x30.l = 0.0333333333333333;
x31.l = 0.0333333333333333;
x32.l = 0.0333333333333333;
x33.l = 0.0333333333333333;
x34.l = 0.0333333333333333;
x35.l = 0.0333333333333333;
x36.l = 0.0333333333333333;
x37.l = 0.0333333333333333;
x38.l = 0.0333333333333333;
x39.l = 0.0333333333333333;
x40.l = 0.0333333333333333;
x41.l = 0.0333333333333333;
x42.l = 0.0333333333333333;
x43.l = 0.0333333333333333;
x44.l = 0.0333333333333333;
x45.l = 0.0333333333333333;
x46.l = 0.0333333333333333;
x47.l = 0.0333333333333333;
x48.l = 0.0333333333333333;
x49.l = 0.0333333333333333;
x50.l = 0.0333333333333333;
x51.l = 0.0333333333333333;
x52.l = 0.0333333333333333;
x53.l = 0.0333333333333333;
x54.l = 0.0333333333333333;
x55.l = 0.0333333333333333;
x56.l = 0.0333333333333333;
x57.l = 0.0333333333333333;
x58.l = 0.0333333333333333;
x59.l = 0.0333333333333333;
x60.l = 0.0333333333333333;
x61.l = 0.0333333333333333;
x62.l = 0.0333333333333333;
x63.l = 0.0333333333333333;
x64.l = 0.0333333333333333;
x65.l = 0.0333333333333333;
x66.l = 0.0333333333333333;
x67.l = 0.0333333333333333;
x68.l = 0.0333333333333333;
x69.l = 0.0333333333333333;
x70.l = 0.0333333333333333;
x71.l = 0.0333333333333333;
x72.l = 0.0333333333333333;
x73.l = 0.0333333333333333;
x74.l = 0.0333333333333333;
x75.l = 0.0333333333333333;
x76.l = 0.0333333333333333;
x77.l = 0.0333333333333333;
x78.l = 0.0333333333333333;
x79.l = 0.0333333333333333;
x80.l = 0.0333333333333333;
x81.l = 0.0333333333333333;
x82.l = 0.0333333333333333;
x83.l = 0.0333333333333333;
x84.l = 0.0333333333333333;
x85.l = 0.0333333333333333;
x86.l = 0.0333333333333333;
x87.l = 0.0333333333333333;
x88.l = 0.0333333333333333;
x89.l = 0.0333333333333333;
x90.l = 0.0333333333333333;
x91.l = 0.0333333333333333;
x92.l = 0.0333333333333333;
x93.l = 0.0333333333333333;
x94.l = 0.0333333333333333;
x95.l = 0.0333333333333333;
x96.l = 0.0333333333333333;
x97.l = 0.0333333333333333;
x98.l = 0.0333333333333333;
x99.l = 0.0333333333333333;
x100.l = 0.0333333333333333;
x101.l = 0.0333333333333333;
x102.l = 0.0333333333333333;
x103.l = 0.0333333333333333;
x104.l = 0.0333333333333333;
x105.l = 0.0333333333333333;
x106.l = 0.0333333333333333;
x107.l = 0.0333333333333333;
x108.l = 0.0333333333333333;
x109.l = 0.0333333333333333;
x110.l = 0.0333333333333333;
x111.l = 0.0333333333333333;
x112.l = 0.0333333333333333;
x113.l = 0.0333333333333333;
x114.l = 0.0333333333333333;
x115.l = 0.0333333333333333;
x116.l = 0.0333333333333333;
x117.l = 0.0333333333333333;
x118.l = 0.0333333333333333;
x119.l = 0.0333333333333333;
x120.l = 0.0333333333333333;
x121.l = 0.0333333333333333;
x122.l = 0.0333333333333333;
x123.l = 0.0333333333333333;
x124.l = 0.0333333333333333;
x125.l = 0.0333333333333333;
x126.l = 0.0333333333333333;
x127.l = 0.0333333333333333;
x128.l = 0.0333333333333333;
x129.l = 0.0333333333333333;
x130.l = 0.0333333333333333;
x131.l = 0.0333333333333333;
x132.l = 0.0333333333333333;
x133.l = 0.0333333333333333;
x134.l = 0.0333333333333333;
x135.l = 0.0333333333333333;
x136.l = 0.0333333333333333;
x137.l = 0.0333333333333333;
x138.l = 0.0333333333333333;
x139.l = 0.0333333333333333;
x140.l = 0.0333333333333333;
x141.l = 0.0333333333333333;
x142.l = 0.0333333333333333;
x143.l = 0.0333333333333333;
x144.l = 0.0333333333333333;
x145.l = 0.0333333333333333;
x146.l = 0.0333333333333333;
x147.l = 0.0333333333333333;
x148.l = 0.0333333333333333;
x149.l = 0.0333333333333333;
x150.l = 0.0333333333333333;
x151.l = 0.0333333333333333;
x152.l = 0.0333333333333333;
x153.l = 0.0333333333333333;
x154.l = 0.0333333333333333;
x155.l = 0.0333333333333333;
x156.l = 0.0333333333333333;
x157.l = 0.0333333333333333;
x158.l = 0.0333333333333333;
x159.l = 0.0333333333333333;
x160.l = 0.0333333333333333;
x161.l = 0.0333333333333333;
x162.l = 0.0333333333333333;
x163.l = 0.0333333333333333;
x164.l = 0.0333333333333333;
x165.l = 0.0333333333333333;
x166.l = 0.0333333333333333;
x167.l = 0.0333333333333333;
x168.l = 0.0333333333333333;
x169.l = 0.0333333333333333;
x170.l = 0.0333333333333333;
x171.l = 0.0333333333333333;
x172.l = 0.0333333333333333;
x173.l = 0.0333333333333333;
x174.l = 0.0333333333333333;
x175.l = 0.0333333333333333;
x176.l = 0.0333333333333333;
x177.l = 0.0333333333333333;
x178.l = 0.0333333333333333;
x179.l = 0.0333333333333333;
x180.l = 0.0333333333333333;
x181.l = 0.0333333333333333;
x182.l = 0.0333333333333333;
x183.l = 0.0333333333333333;
x184.l = 0.0333333333333333;
x185.l = 0.0333333333333333;
x186.l = 0.0333333333333333;
x187.l = 0.0333333333333333;
x188.l = 0.0333333333333333;
x189.l = 0.0333333333333333;
x190.l = 0.0333333333333333;
x191.l = 0.0333333333333333;
x192.l = 0.0333333333333333;
x193.l = 0.0333333333333333;
x194.l = 0.0333333333333333;
x195.l = 0.0333333333333333;
x196.l = 0.0333333333333333;
x197.l = 0.0333333333333333;
x198.l = 0.0333333333333333;
x199.l = 0.0333333333333333;
x200.l = 0.0333333333333333;
x201.l = 1.2;
x202.l = 1.2;
x203.l = 1.2;
x204.l = 1.2;
x205.l = 1.2;
x206.l = 1.2;
x207.l = 1.2;
x208.l = 1.2;
x209.l = 1.2;
x210.l = 1.2;
x211.l = 1.2;
x212.l = 1.2;
x213.l = 1.2;
x214.l = 1.2;
x215.l = 1.2;
x216.l = 1.2;
x217.l = 1.2;
x218.l = 1.2;
x219.l = 1.2;
x220.l = 1.2;
x221.l = 1.2;
x222.l = 1.2;
x223.l = 1.2;
x224.l = 1.2;
x225.l = 1.2;
x226.l = 1.2;
x227.l = 1.2;
x228.l = 1.2;
x229.l = 1.2;
x230.l = 1.2;
x231.l = 1.2;
x232.l = 1.2;
x233.l = 1.2;
x234.l = 1.2;
x235.l = 1.2;
x236.l = 1.2;
x237.l = 1.2;
x238.l = 1.2;
x239.l = 1.2;
x240.l = 1.2;
x241.l = 1.2;
x242.l = 1.2;
x243.l = 1.2;
x244.l = 1.2;
x245.l = 1.2;
x246.l = 1.2;
x247.l = 1.2;
x248.l = 1.2;
x249.l = 1.2;
x250.l = 1.2;
x251.l = 1.2;
x252.l = 1.2;
x253.l = 1.2;
x254.l = 1.2;
x255.l = 1.2;
x256.l = 1.2;
x257.l = 1.2;
x258.l = 1.2;
x259.l = 1.2;
x260.l = 1.2;
x261.l = 1.2;
x262.l = 1.2;
x263.l = 1.2;
x264.l = 1.2;
x265.l = 1.2;
x266.l = 1.2;
x267.l = 1.2;
x268.l = 1.2;
x269.l = 1.2;
x270.l = 1.2;
x271.l = 1.2;
x272.l = 1.2;
x273.l = 1.2;
x274.l = 1.2;
x275.l = 1.2;
x276.l = 1.2;
x277.l = 1.2;
x278.l = 1.2;
x279.l = 1.2;
x280.l = 1.2;
x281.l = 1.2;
x282.l = 1.2;
x283.l = 1.2;
x284.l = 1.2;
x285.l = 1.2;
x286.l = 1.2;
x287.l = 1.2;
x288.l = 1.2;
x289.l = 1.2;
x290.l = 1.2;
x291.l = 1.2;
x292.l = 1.2;
x293.l = 1.2;
x294.l = 1.2;
x295.l = 1.2;
x296.l = 1.2;
x297.l = 1.2;
x298.l = 1.2;
x299.l = 1.2;
x300.l = 1.2;
x301.l = 1.2;
x302.l = 1.2;
x303.l = 1.2;
x304.l = 1.2;
x305.l = 1.2;
x306.l = 1.2;
x307.l = 1.2;
x308.l = 1.2;
x309.l = 1.2;
x310.l = 1.2;
x311.l = 1.2;
x312.l = 1.2;
x313.l = 1.2;
x314.l = 1.2;
x315.l = 1.2;
x316.l = 1.2;
x317.l = 1.2;
x318.l = 1.2;
x319.l = 1.2;
x320.l = 1.2;
x321.l = 1.2;
x322.l = 1.2;
x323.l = 1.2;
x324.l = 1.2;
x325.l = 1.2;
x326.l = 1.2;
x327.l = 1.2;
x328.l = 1.2;
x329.l = 1.2;
x330.l = 1.2;
x331.l = 1.2;
x332.l = 1.2;
x333.l = 1.2;
x334.l = 1.2;
x335.l = 1.2;
x336.l = 1.2;
x337.l = 1.2;
x338.l = 1.2;
x339.l = 1.2;
x340.l = 1.2;
x341.l = 1.2;
x342.l = 1.2;
x343.l = 1.2;
x344.l = 1.2;
x345.l = 1.2;
x346.l = 1.2;
x347.l = 1.2;
x348.l = 1.2;
x349.l = 1.2;
x350.l = 1.2;
x351.l = 1.2;
x352.l = 1.2;
x353.l = 1.2;
x354.l = 1.2;
x355.l = 1.2;
x356.l = 1.2;
x357.l = 1.2;
x358.l = 1.2;
x359.l = 1.2;
x360.l = 1.2;
x361.l = 1.2;
x362.l = 1.2;
x363.l = 1.2;
x364.l = 1.2;
x365.l = 1.2;
x366.l = 1.2;
x367.l = 1.2;
x368.l = 1.2;
x369.l = 1.2;
x370.l = 1.2;
x371.l = 1.2;
x372.l = 1.2;
x373.l = 1.2;
x374.l = 1.2;
x375.l = 1.2;
x376.l = 1.2;
x377.l = 1.2;
x378.l = 1.2;
x379.l = 1.2;
x380.l = 1.2;
x381.l = 1.2;
x382.l = 1.2;
x383.l = 1.2;
x384.l = 1.2;
x385.l = 1.2;
x386.l = 1.2;
x387.l = 1.2;
x388.l = 1.2;
x389.l = 1.2;
x390.l = 1.2;
x391.l = 1.2;
x392.l = 1.2;
x393.l = 1.2;
x394.l = 1.2;
x395.l = 1.2;
x396.l = 1.2;
x397.l = 1.2;
x398.l = 1.2;
x399.l = 1.2;
x400.l = 1.2;
x401.l = 0.04000032;
x402.l = 0.04000032;
x403.l = 0.04000032;
x404.l = 0.04000032;
x405.l = 0.04000032;
x406.l = 0.04000032;
x407.l = 0.04000032;
x408.l = 0.04000032;
b409.l = 0.2;
b410.l = 0.2;
b411.l = 0.2;
b412.l = 0.2;
b413.l = 0.2;
b414.l = 0.2;
b415.l = 0.2;
b416.l = 0.2;
b417.l = 0.2;
b418.l = 0.2;
b419.l = 0.2;
b420.l = 0.2;
b421.l = 0.2;
b422.l = 0.2;
b423.l = 0.2;
b424.l = 0.2;
b425.l = 0.2;
b426.l = 0.2;
b427.l = 0.2;
b428.l = 0.2;
b429.l = 0.2;
b430.l = 0.2;
b431.l = 0.2;
b432.l = 0.2;
b433.l = 0.2;
b434.l = 0.032;
b435.l = 0.032;
b436.l = 0.032;
b437.l = 0.032;
b438.l = 0.032;
b439.l = 0.032;
b440.l = 0.032;
b441.l = 0.032;
b442.l = 0.032;
b443.l = 0.032;
b444.l = 0.032;
b445.l = 0.032;
b446.l = 0.032;
b447.l = 0.032;
b448.l = 0.032;
b449.l = 0.032;
b450.l = 0.032;
b451.l = 0.032;
b452.l = 0.032;
b453.l = 0.032;
b454.l = 0.032;
b455.l = 0.032;
b456.l = 0.032;
b457.l = 0.032;
b458.l = 0.032;
b459.l = 0.032;
b460.l = 0.032;
b461.l = 0.032;
b462.l = 0.032;
b463.l = 0.032;
b464.l = 0.032;
b465.l = 0.032;
b466.l = 0.032;
b467.l = 0.032;
b468.l = 0.032;
b469.l = 0.032;
b470.l = 0.032;
b471.l = 0.032;
b472.l = 0.032;
b473.l = 0.032;
b474.l = 0.032;
b475.l = 0.032;
b476.l = 0.032;
b477.l = 0.032;
b478.l = 0.032;
b479.l = 0.032;
b480.l = 0.032;
b481.l = 0.032;
b482.l = 0.032;
b483.l = 0.032;
b484.l = 0.032;
b485.l = 0.032;
b486.l = 0.032;
b487.l = 0.032;
b488.l = 0.032;
b489.l = 0.032;
b490.l = 0.032;
b491.l = 0.032;
b492.l = 0.032;
b493.l = 0.032;
b494.l = 0.032;
b495.l = 0.032;
b496.l = 0.032;
b497.l = 0.032;
b498.l = 0.032;
b499.l = 0.032;
b500.l = 0.032;
b501.l = 0.032;
b502.l = 0.032;
b503.l = 0.032;
b504.l = 0.032;
b505.l = 0.032;
b506.l = 0.032;
b507.l = 0.032;
b508.l = 0.032;
b509.l = 0.032;
b510.l = 0.032;
b511.l = 0.032;
b512.l = 0.032;
b513.l = 0.032;
b514.l = 0.032;
b515.l = 0.032;
b516.l = 0.032;
b517.l = 0.032;
b518.l = 0.032;
b519.l = 0.032;
b520.l = 0.032;
b521.l = 0.032;
b522.l = 0.032;
b523.l = 0.032;
b524.l = 0.032;
b525.l = 0.032;
b526.l = 0.032;
b527.l = 0.032;
b528.l = 0.032;
b529.l = 0.032;
b530.l = 0.032;
b531.l = 0.032;
b532.l = 0.032;
b533.l = 0.032;
b534.l = 0.032;
b535.l = 0.032;
b536.l = 0.032;
b537.l = 0.032;
b538.l = 0.032;
b539.l = 0.032;
b540.l = 0.032;
b541.l = 0.032;
b542.l = 0.032;
b543.l = 0.032;
b544.l = 0.032;
b545.l = 0.032;
b546.l = 0.032;
b547.l = 0.032;
b548.l = 0.032;
b549.l = 0.032;
b550.l = 0.032;
b551.l = 0.032;
b552.l = 0.032;
b553.l = 0.032;
b554.l = 0.032;
b555.l = 0.032;
b556.l = 0.032;
b557.l = 0.032;
b558.l = 0.032;
b559.l = 0.032;
b560.l = 0.032;
b561.l = 0.032;
b562.l = 0.032;
b563.l = 0.032;
b564.l = 0.032;
b565.l = 0.032;
b566.l = 0.032;
b567.l = 0.032;
b568.l = 0.032;
b569.l = 0.032;
b570.l = 0.032;
b571.l = 0.032;
b572.l = 0.032;
b573.l = 0.032;
b574.l = 0.032;
b575.l = 0.032;
b576.l = 0.032;
b577.l = 0.032;
b578.l = 0.032;
b579.l = 0.032;
b580.l = 0.032;
b581.l = 0.032;
b582.l = 0.032;
b583.l = 0.032;
b584.l = 0.032;
b585.l = 0.032;
b586.l = 0.032;
b587.l = 0.032;
b588.l = 0.032;
b589.l = 0.032;
b590.l = 0.032;
b591.l = 0.032;
b592.l = 0.032;
b593.l = 0.032;
b594.l = 0.032;
b595.l = 0.032;
b596.l = 0.032;
b597.l = 0.032;
b598.l = 0.032;
b599.l = 0.032;
b600.l = 0.032;
b601.l = 0.032;
b602.l = 0.032;
b603.l = 0.032;
b604.l = 0.032;
b605.l = 0.032;
b606.l = 0.032;
b607.l = 0.032;
b608.l = 0.032;
b609.l = 0.032;
b610.l = 0.032;
b611.l = 0.032;
b612.l = 0.032;
b613.l = 0.032;
b614.l = 0.032;
b615.l = 0.032;
b616.l = 0.032;
b617.l = 0.032;
b618.l = 0.032;
b619.l = 0.032;
b620.l = 0.032;
b621.l = 0.032;
b622.l = 0.032;
b623.l = 0.032;
b624.l = 0.032;
b625.l = 0.032;
b626.l = 0.032;
b627.l = 0.032;
b628.l = 0.032;
b629.l = 0.032;
b630.l = 0.032;
b631.l = 0.032;
b632.l = 0.032;
b633.l = 0.032;
b634.l = 0.032;
b635.l = 0.032;
b636.l = 0.032;
b637.l = 0.032;
b638.l = 0.032;
b639.l = 0.032;
b640.l = 0.032;
b641.l = 0.032;
b642.l = 0.032;
b643.l = 0.032;
b644.l = 0.032;
b645.l = 0.032;
b646.l = 0.032;
b647.l = 0.032;
b648.l = 0.032;
b649.l = 0.032;
b650.l = 0.032;
b651.l = 0.032;
b652.l = 0.032;
b653.l = 0.032;
b654.l = 0.032;
b655.l = 0.032;
b656.l = 0.032;
b657.l = 0.032;
b658.l = 0.032;
b659.l = 0.032;
b660.l = 0.032;
b661.l = 0.032;
b662.l = 0.032;
b663.l = 0.032;
b664.l = 0.032;
b665.l = 0.032;
b666.l = 0.032;
b667.l = 0.032;
b668.l = 0.032;
b669.l = 0.032;
b670.l = 0.032;
b671.l = 0.032;
b672.l = 0.032;
b673.l = 0.032;
b674.l = 0.032;
b675.l = 0.032;
b676.l = 0.032;
b677.l = 0.032;
b678.l = 0.032;
b679.l = 0.032;
b680.l = 0.032;
b681.l = 0.032;
b682.l = 0.032;
b683.l = 0.032;
b684.l = 0.032;
b685.l = 0.032;
b686.l = 0.032;
b687.l = 0.032;
b688.l = 0.032;
b689.l = 0.032;
b690.l = 0.032;
b691.l = 0.032;
b692.l = 0.032;
b693.l = 0.032;
b694.l = 0.032;
b695.l = 0.032;
b696.l = 0.032;
b697.l = 0.032;
b698.l = 0.032;
b699.l = 0.032;
b700.l = 0.032;
b701.l = 0.032;
b702.l = 0.032;
b703.l = 0.032;
b704.l = 0.032;
b705.l = 0.032;
b706.l = 0.032;
b707.l = 0.032;
b708.l = 0.032;
b709.l = 0.032;
b710.l = 0.032;
b711.l = 0.032;
b712.l = 0.032;
b713.l = 0.032;
b714.l = 0.032;
b715.l = 0.032;
b716.l = 0.032;
b717.l = 0.032;
b718.l = 0.032;
b719.l = 0.032;
b720.l = 0.032;
b721.l = 0.032;
b722.l = 0.032;
b723.l = 0.032;
b724.l = 0.032;
b725.l = 0.032;
b726.l = 0.032;
b727.l = 0.032;
b728.l = 0.032;
b729.l = 0.032;
b730.l = 0.032;
b731.l = 0.032;
b732.l = 0.032;
b733.l = 0.032;
b734.l = 0.032;
b735.l = 0.032;
b736.l = 0.032;
b737.l = 0.032;
b738.l = 0.032;
b739.l = 0.032;
b740.l = 0.032;
b741.l = 0.032;
b742.l = 0.032;
b743.l = 0.032;
b744.l = 0.032;
b745.l = 0.032;
b746.l = 0.032;
b747.l = 0.032;
b748.l = 0.032;
b749.l = 0.032;
b750.l = 0.032;
b751.l = 0.032;
b752.l = 0.032;
b753.l = 0.032;
b754.l = 0.032;
b755.l = 0.032;
b756.l = 0.032;
b757.l = 0.032;
b758.l = 0.032;
b759.l = 0.032;
b760.l = 0.032;
b761.l = 0.032;
b762.l = 0.032;
b763.l = 0.032;
b764.l = 0.032;
b765.l = 0.032;
b766.l = 0.032;
b767.l = 0.032;
b768.l = 0.032;
b769.l = 0.032;
b770.l = 0.032;
b771.l = 0.032;
b772.l = 0.032;
b773.l = 0.032;
b774.l = 0.032;
b775.l = 0.032;
b776.l = 0.032;
b777.l = 0.032;
b778.l = 0.032;
b779.l = 0.032;
b780.l = 0.032;
b781.l = 0.032;
b782.l = 0.032;
b783.l = 0.032;
b784.l = 0.032;
b785.l = 0.032;
b786.l = 0.032;
b787.l = 0.032;
b788.l = 0.032;
b789.l = 0.032;
b790.l = 0.032;
b791.l = 0.032;
b792.l = 0.032;
b793.l = 0.032;
b794.l = 0.032;
b795.l = 0.032;
b796.l = 0.032;
b797.l = 0.032;
b798.l = 0.032;
b799.l = 0.032;
b800.l = 0.032;
b801.l = 0.032;
b802.l = 0.032;
b803.l = 0.032;
b804.l = 0.032;
b805.l = 0.032;
b806.l = 0.032;
b807.l = 0.032;
b808.l = 0.032;
b809.l = 0.032;
b810.l = 0.032;
b811.l = 0.032;
b812.l = 0.032;
b813.l = 0.032;
b814.l = 0.032;
b815.l = 0.032;
b816.l = 0.032;
b817.l = 0.032;
b818.l = 0.032;
b819.l = 0.032;
b820.l = 0.032;
b821.l = 0.032;
b822.l = 0.032;
b823.l = 0.032;
b824.l = 0.032;
b825.l = 0.032;
b826.l = 0.032;
b827.l = 0.032;
b828.l = 0.032;
b829.l = 0.032;
b830.l = 0.032;
b831.l = 0.032;
b832.l = 0.032;
b833.l = 0.032;
b834.l = 0.032;
b835.l = 0.032;
b836.l = 0.032;
b837.l = 0.032;
b838.l = 0.032;
b839.l = 0.032;
b840.l = 0.032;
b841.l = 0.032;
b842.l = 0.032;
b843.l = 0.032;
b844.l = 0.032;
b845.l = 0.032;
b846.l = 0.032;
b847.l = 0.032;
b848.l = 0.032;
b849.l = 0.032;
b850.l = 0.032;
b851.l = 0.032;
b852.l = 0.032;
b853.l = 0.032;
b854.l = 0.032;
b855.l = 0.032;
b856.l = 0.032;
b857.l = 0.032;
b858.l = 0.032;
b859.l = 0.032;
b860.l = 0.032;
b861.l = 0.032;
b862.l = 0.032;
b863.l = 0.032;
b864.l = 0.032;
b865.l = 0.032;
b866.l = 0.032;
b867.l = 0.032;
b868.l = 0.032;
b869.l = 0.032;
b870.l = 0.032;
b871.l = 0.032;
b872.l = 0.032;
b873.l = 0.032;
b874.l = 0.032;
b875.l = 0.032;
b876.l = 0.032;
b877.l = 0.032;
b878.l = 0.032;
b879.l = 0.032;
b880.l = 0.032;
b881.l = 0.032;
b882.l = 0.032;
b883.l = 0.032;
b884.l = 0.032;
b885.l = 0.032;
b886.l = 0.032;
b887.l = 0.032;
b888.l = 0.032;
b889.l = 0.032;
b890.l = 0.032;
b891.l = 0.032;
b892.l = 0.032;
b893.l = 0.032;
b894.l = 0.032;
b895.l = 0.032;
b896.l = 0.032;
b897.l = 0.032;
b898.l = 0.032;
b899.l = 0.032;
b900.l = 0.032;
b901.l = 0.032;
b902.l = 0.032;
b903.l = 0.032;
b904.l = 0.032;
b905.l = 0.032;
b906.l = 0.032;
b907.l = 0.032;
b908.l = 0.032;
b909.l = 0.032;
b910.l = 0.032;
b911.l = 0.032;
b912.l = 0.032;
b913.l = 0.032;
b914.l = 0.032;
b915.l = 0.032;
b916.l = 0.032;
b917.l = 0.032;
b918.l = 0.032;
b919.l = 0.032;
b920.l = 0.032;
b921.l = 0.032;
b922.l = 0.032;
b923.l = 0.032;
b924.l = 0.032;
b925.l = 0.032;
b926.l = 0.032;
b927.l = 0.032;
b928.l = 0.032;
b929.l = 0.032;
b930.l = 0.032;
b931.l = 0.032;
b932.l = 0.032;
b933.l = 0.032;
b934.l = 0.032;
b935.l = 0.032;
b936.l = 0.032;
b937.l = 0.032;
b938.l = 0.032;
b939.l = 0.032;
b940.l = 0.032;
b941.l = 0.032;
b942.l = 0.032;
b943.l = 0.032;
b944.l = 0.032;
b945.l = 0.032;
b946.l = 0.032;
b947.l = 0.032;
b948.l = 0.032;
b949.l = 0.032;
b950.l = 0.032;
b951.l = 0.032;
b952.l = 0.032;
b953.l = 0.032;
b954.l = 0.032;
b955.l = 0.032;
b956.l = 0.032;
b957.l = 0.032;
b958.l = 0.032;
b959.l = 0.032;
b960.l = 0.032;
b961.l = 0.032;
b962.l = 0.032;
b963.l = 0.032;
b964.l = 0.032;
b965.l = 0.032;
b966.l = 0.032;
b967.l = 0.032;
b968.l = 0.032;
b969.l = 0.032;
b970.l = 0.032;
b971.l = 0.032;
b972.l = 0.032;
b973.l = 0.032;
b974.l = 0.032;
b975.l = 0.032;
b976.l = 0.032;
b977.l = 0.032;
b978.l = 0.032;
b979.l = 0.032;
b980.l = 0.032;
b981.l = 0.032;
b982.l = 0.032;
b983.l = 0.032;
b984.l = 0.032;
b985.l = 0.032;
b986.l = 0.032;
b987.l = 0.032;
b988.l = 0.032;
b989.l = 0.032;
b990.l = 0.032;
b991.l = 0.032;
b992.l = 0.032;
b993.l = 0.032;
b994.l = 0.032;
b995.l = 0.032;
b996.l = 0.032;
b997.l = 0.032;
b998.l = 0.032;
b999.l = 0.032;
b1000.l = 0.032;
b1001.l = 0.032;
b1002.l = 0.032;
b1003.l = 0.032;
b1004.l = 0.032;
b1005.l = 0.032;
b1006.l = 0.032;
b1007.l = 0.032;
b1008.l = 0.032;
b1009.l = 0.032;
b1010.l = 0.032;
b1011.l = 0.032;
b1012.l = 0.032;
b1013.l = 0.032;
b1014.l = 0.032;
b1015.l = 0.032;
b1016.l = 0.032;
b1017.l = 0.032;
b1018.l = 0.032;
b1019.l = 0.032;
b1020.l = 0.032;
b1021.l = 0.032;
b1022.l = 0.032;
b1023.l = 0.032;
b1024.l = 0.032;
b1025.l = 0.032;
b1026.l = 0.032;
b1027.l = 0.032;
b1028.l = 0.032;
b1029.l = 0.032;
b1030.l = 0.032;
b1031.l = 0.032;
b1032.l = 0.032;
b1033.l = 0.032;
b1034.l = 0.032;
b1035.l = 0.032;
b1036.l = 0.032;
b1037.l = 0.032;
b1038.l = 0.032;
b1039.l = 0.032;
b1040.l = 0.032;
b1041.l = 0.032;
b1042.l = 0.032;
b1043.l = 0.032;
b1044.l = 0.032;
b1045.l = 0.032;
b1046.l = 0.032;
b1047.l = 0.032;
b1048.l = 0.032;
b1049.l = 0.032;
b1050.l = 0.032;
b1051.l = 0.032;
b1052.l = 0.032;
b1053.l = 0.032;
b1054.l = 0.032;
b1055.l = 0.032;
b1056.l = 0.032;
b1057.l = 0.032;
b1058.l = 0.032;

Model m / all /;

m.limrow=0; m.limcol=0;
m.tolproj=0.0;

$if NOT '%gams.u1%' == '' $include '%gams.u1%'

$if not set MINLP $set MINLP MINLP
Solve m using %MINLP% minimizing objvar;


Last updated: 2022-04-26 Git hash: de668763
Imprint / Privacy Policy / License: CC-BY 4.0