MINLPLib

A Library of Mixed-Integer and Continuous Nonlinear Programming Instances

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Instance p_ball_30b_10p_2d_h

Select 10-points in 2-dimensional balls, such that the l1-distance between all points is minimized.
Only one point can be assigned to each ball, and in total there are 30 balls with radius one.
This is a convex-hull formulation.
Formats ams gms mod nl osil py
Primal Bounds (infeas ≤ 1e-08)
42.10716295 p1 ( gdx sol )
(infeas: 8e-15)
41.93395425 p2 ( gdx sol )
(infeas: 4e-16)
Other points (infeas > 1e-08)  
Dual Bounds
0.00000000 (ALPHAECP)
0.00000000 (ANTIGONE)
0.00000000 (BARON)
-0.00000001 (BONMIN)
0.00000000 (COUENNE)
0.00000000 (LINDO)
0.00000000 (SCIP)
0.00000000 (SHOT)
References Kronqvist, Jan and Misener, Ruth, A disjunctive cut strengthening technique for convex MINLP, Tech. Rep., 2020.
Source p_ball_30b_10p_2d_H.gms with the epsilon in the perspective formulation changed to 1e-4, contributed by Jan Kronqvist and Ruth Misener
Application Geometry
Added to library 26 Aug 2020
Problem type MBNLP
#Variables 1010
#Binary Variables 300
#Integer Variables 0
#Nonlinear Variables 900
#Nonlinear Binary Variables 300
#Nonlinear Integer Variables 0
Objective Sense min
Objective type linear
Objective curvature linear
#Nonzeros in Objective 90
#Nonlinear Nonzeros in Objective 0
#Constraints 1149
#Linear Constraints 849
#Quadratic Constraints 0
#Polynomial Constraints 0
#Signomial Constraints 0
#General Nonlinear Constraints 300
Operands in Gen. Nonlin. Functions div mul sqr
Constraints curvature convex
#Nonzeros in Jacobian 3878
#Nonlinear Nonzeros in Jacobian 900
#Nonzeros in (Upper-Left) Hessian of Lagrangian 2100
#Nonzeros in Diagonal of Hessian of Lagrangian 900
#Blocks in Hessian of Lagrangian 300
Minimal blocksize in Hessian of Lagrangian 3
Maximal blocksize in Hessian of Lagrangian 3
Average blocksize in Hessian of Lagrangian 3.0
#Semicontinuities 0
#Nonlinear Semicontinuities 0
#SOS type 1 0
#SOS type 2 0
Minimal coefficient 1.0000e-04
Maximal coefficient 1.0000e+01
Infeasibility of initial point 1
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
*       1150       31        0     1119        0        0        0        0
*  
*  Variable counts
*                   x        b        i      s1s      s2s       sc       si
*      Total     cont   binary  integer     sos1     sos2    scont     sint
*       1011      711      300        0        0        0        0        0
*  FX      0
*  
*  Nonzero counts
*      Total    const       NL      DLL
*       3969     3069      900        0
*
*  Solve m using MINLP minimizing objvar;


Variables  b1,b2,b3,b4,b5,b6,b7,b8,b9,b10,b11,b12,b13,b14,b15,b16,b17,b18,b19
          ,b20,b21,b22,b23,b24,b25,b26,b27,b28,b29,b30,b31,b32,b33,b34,b35,b36
          ,b37,b38,b39,b40,b41,b42,b43,b44,b45,b46,b47,b48,b49,b50,b51,b52,b53
          ,b54,b55,b56,b57,b58,b59,b60,b61,b62,b63,b64,b65,b66,b67,b68,b69,b70
          ,b71,b72,b73,b74,b75,b76,b77,b78,b79,b80,b81,b82,b83,b84,b85,b86,b87
          ,b88,b89,b90,b91,b92,b93,b94,b95,b96,b97,b98,b99,b100,b101,b102,b103
          ,b104,b105,b106,b107,b108,b109,b110,b111,b112,b113,b114,b115,b116
          ,b117,b118,b119,b120,b121,b122,b123,b124,b125,b126,b127,b128,b129
          ,b130,b131,b132,b133,b134,b135,b136,b137,b138,b139,b140,b141,b142
          ,b143,b144,b145,b146,b147,b148,b149,b150,b151,b152,b153,b154,b155
          ,b156,b157,b158,b159,b160,b161,b162,b163,b164,b165,b166,b167,b168
          ,b169,b170,b171,b172,b173,b174,b175,b176,b177,b178,b179,b180,b181
          ,b182,b183,b184,b185,b186,b187,b188,b189,b190,b191,b192,b193,b194
          ,b195,b196,b197,b198,b199,b200,b201,b202,b203,b204,b205,b206,b207
          ,b208,b209,b210,b211,b212,b213,b214,b215,b216,b217,b218,b219,b220
          ,b221,b222,b223,b224,b225,b226,b227,b228,b229,b230,b231,b232,b233
          ,b234,b235,b236,b237,b238,b239,b240,b241,b242,b243,b244,b245,b246
          ,b247,b248,b249,b250,b251,b252,b253,b254,b255,b256,b257,b258,b259
          ,b260,b261,b262,b263,b264,b265,b266,b267,b268,b269,b270,b271,b272
          ,b273,b274,b275,b276,b277,b278,b279,b280,b281,b282,b283,b284,b285
          ,b286,b287,b288,b289,b290,b291,b292,b293,b294,b295,b296,b297,b298
          ,b299,b300,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,x409,x410,x411,x412,x413,x414,x415
          ,x416,x417,x418,x419,x420,x421,x422,x423,x424,x425,x426,x427,x428
          ,x429,x430,x431,x432,x433,x434,x435,x436,x437,x438,x439,x440,x441
          ,x442,x443,x444,x445,x446,x447,x448,x449,x450,x451,x452,x453,x454
          ,x455,x456,x457,x458,x459,x460,x461,x462,x463,x464,x465,x466,x467
          ,x468,x469,x470,x471,x472,x473,x474,x475,x476,x477,x478,x479,x480
          ,x481,x482,x483,x484,x485,x486,x487,x488,x489,x490,x491,x492,x493
          ,x494,x495,x496,x497,x498,x499,x500,x501,x502,x503,x504,x505,x506
          ,x507,x508,x509,x510,x511,x512,x513,x514,x515,x516,x517,x518,x519
          ,x520,x521,x522,x523,x524,x525,x526,x527,x528,x529,x530,x531,x532
          ,x533,x534,x535,x536,x537,x538,x539,x540,x541,x542,x543,x544,x545
          ,x546,x547,x548,x549,x550,x551,x552,x553,x554,x555,x556,x557,x558
          ,x559,x560,x561,x562,x563,x564,x565,x566,x567,x568,x569,x570,x571
          ,x572,x573,x574,x575,x576,x577,x578,x579,x580,x581,x582,x583,x584
          ,x585,x586,x587,x588,x589,x590,x591,x592,x593,x594,x595,x596,x597
          ,x598,x599,x600,x601,x602,x603,x604,x605,x606,x607,x608,x609,x610
          ,x611,x612,x613,x614,x615,x616,x617,x618,x619,x620,x621,x622,x623
          ,x624,x625,x626,x627,x628,x629,x630,x631,x632,x633,x634,x635,x636
          ,x637,x638,x639,x640,x641,x642,x643,x644,x645,x646,x647,x648,x649
          ,x650,x651,x652,x653,x654,x655,x656,x657,x658,x659,x660,x661,x662
          ,x663,x664,x665,x666,x667,x668,x669,x670,x671,x672,x673,x674,x675
          ,x676,x677,x678,x679,x680,x681,x682,x683,x684,x685,x686,x687,x688
          ,x689,x690,x691,x692,x693,x694,x695,x696,x697,x698,x699,x700,x701
          ,x702,x703,x704,x705,x706,x707,x708,x709,x710,x711,x712,x713,x714
          ,x715,x716,x717,x718,x719,x720,x721,x722,x723,x724,x725,x726,x727
          ,x728,x729,x730,x731,x732,x733,x734,x735,x736,x737,x738,x739,x740
          ,x741,x742,x743,x744,x745,x746,x747,x748,x749,x750,x751,x752,x753
          ,x754,x755,x756,x757,x758,x759,x760,x761,x762,x763,x764,x765,x766
          ,x767,x768,x769,x770,x771,x772,x773,x774,x775,x776,x777,x778,x779
          ,x780,x781,x782,x783,x784,x785,x786,x787,x788,x789,x790,x791,x792
          ,x793,x794,x795,x796,x797,x798,x799,x800,x801,x802,x803,x804,x805
          ,x806,x807,x808,x809,x810,x811,x812,x813,x814,x815,x816,x817,x818
          ,x819,x820,x821,x822,x823,x824,x825,x826,x827,x828,x829,x830,x831
          ,x832,x833,x834,x835,x836,x837,x838,x839,x840,x841,x842,x843,x844
          ,x845,x846,x847,x848,x849,x850,x851,x852,x853,x854,x855,x856,x857
          ,x858,x859,x860,x861,x862,x863,x864,x865,x866,x867,x868,x869,x870
          ,x871,x872,x873,x874,x875,x876,x877,x878,x879,x880,x881,x882,x883
          ,x884,x885,x886,x887,x888,x889,x890,x891,x892,x893,x894,x895,x896
          ,x897,x898,x899,x900,x901,x902,x903,x904,x905,x906,x907,x908,x909
          ,x910,x911,x912,x913,x914,x915,x916,x917,x918,x919,x920,x921,x922
          ,x923,x924,x925,x926,x927,x928,x929,x930,x931,x932,x933,x934,x935
          ,x936,x937,x938,x939,x940,x941,x942,x943,x944,x945,x946,x947,x948
          ,x949,x950,x951,x952,x953,x954,x955,x956,x957,x958,x959,x960,x961
          ,x962,x963,x964,x965,x966,x967,x968,x969,x970,x971,x972,x973,x974
          ,x975,x976,x977,x978,x979,x980,x981,x982,x983,x984,x985,x986,x987
          ,x988,x989,x990,x991,x992,x993,x994,x995,x996,x997,x998,x999,x1000
          ,x1001,x1002,x1003,x1004,x1005,x1006,x1007,x1008,x1009,x1010,objvar;

Positive Variables  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,x409,x410,x411,x412,x413,x414,x415
          ,x416,x417,x418,x419,x420,x421,x422,x423,x424,x425,x426,x427,x428
          ,x429,x430,x431,x432,x433,x434,x435,x436,x437,x438,x439,x440,x441
          ,x442,x443,x444,x445,x446,x447,x448,x449,x450,x451,x452,x453,x454
          ,x455,x456,x457,x458,x459,x460,x461,x462,x463,x464,x465,x466,x467
          ,x468,x469,x470,x471,x472,x473,x474,x475,x476,x477,x478,x479,x480
          ,x481,x482,x483,x484,x485,x486,x487,x488,x489,x490,x491,x492,x493
          ,x494,x495,x496,x497,x498,x499,x500,x501,x502,x503,x504,x505,x506
          ,x507,x508,x509,x510,x511,x512,x513,x514,x515,x516,x517,x518,x519
          ,x520,x521,x522,x523,x524,x525,x526,x527,x528,x529,x530,x531,x532
          ,x533,x534,x535,x536,x537,x538,x539,x540,x541,x542,x543,x544,x545
          ,x546,x547,x548,x549,x550,x551,x552,x553,x554,x555,x556,x557,x558
          ,x559,x560,x561,x562,x563,x564,x565,x566,x567,x568,x569,x570,x571
          ,x572,x573,x574,x575,x576,x577,x578,x579,x580,x581,x582,x583,x584
          ,x585,x586,x587,x588,x589,x590,x591,x592,x593,x594,x595,x596,x597
          ,x598,x599,x600,x601,x602,x603,x604,x605,x606,x607,x608,x609,x610
          ,x611,x612,x613,x614,x615,x616,x617,x618,x619,x620,x621,x622,x623
          ,x624,x625,x626,x627,x628,x629,x630,x631,x632,x633,x634,x635,x636
          ,x637,x638,x639,x640,x641,x642,x643,x644,x645,x646,x647,x648,x649
          ,x650,x651,x652,x653,x654,x655,x656,x657,x658,x659,x660,x661,x662
          ,x663,x664,x665,x666,x667,x668,x669,x670,x671,x672,x673,x674,x675
          ,x676,x677,x678,x679,x680,x681,x682,x683,x684,x685,x686,x687,x688
          ,x689,x690,x691,x692,x693,x694,x695,x696,x697,x698,x699,x700,x701
          ,x702,x703,x704,x705,x706,x707,x708,x709,x710,x711,x712,x713,x714
          ,x715,x716,x717,x718,x719,x720,x721,x722,x723,x724,x725,x726,x727
          ,x728,x729,x730,x731,x732,x733,x734,x735,x736,x737,x738,x739,x740
          ,x741,x742,x743,x744,x745,x746,x747,x748,x749,x750,x751,x752,x753
          ,x754,x755,x756,x757,x758,x759,x760,x761,x762,x763,x764,x765,x766
          ,x767,x768,x769,x770,x771,x772,x773,x774,x775,x776,x777,x778,x779
          ,x780,x781,x782,x783,x784,x785,x786,x787,x788,x789,x790,x791,x792
          ,x793,x794,x795,x796,x797,x798,x799,x800,x801,x802,x803,x804,x805
          ,x806,x807,x808,x809,x810,x811,x812,x813,x814,x815,x816,x817,x818
          ,x819,x820,x821,x822,x823,x824,x825,x826,x827,x828,x829,x830,x831
          ,x832,x833,x834,x835,x836,x837,x838,x839,x840,x841,x842,x843,x844
          ,x845,x846,x847,x848,x849,x850,x851,x852,x853,x854,x855,x856,x857
          ,x858,x859,x860,x861,x862,x863,x864,x865,x866,x867,x868,x869,x870
          ,x871,x872,x873,x874,x875,x876,x877,x878,x879,x880,x881,x882,x883
          ,x884,x885,x886,x887,x888,x889,x890,x891,x892,x893,x894,x895,x896
          ,x897,x898,x899,x900,x901,x902,x903,x904,x905,x906,x907,x908,x909
          ,x910,x911,x912,x913,x914,x915,x916,x917,x918,x919,x920,x921,x922
          ,x923,x924,x925,x926,x927,x928,x929,x930,x931,x932,x933,x934,x935
          ,x936,x937,x938,x939,x940,x941,x942,x943,x944,x945,x946,x947,x948
          ,x949,x950,x951,x952,x953,x954,x955,x956,x957,x958,x959,x960,x961
          ,x962,x963,x964,x965,x966,x967,x968,x969,x970,x971,x972,x973,x974
          ,x975,x976,x977,x978,x979,x980,x981,x982,x983,x984,x985,x986,x987
          ,x988,x989,x990,x991,x992,x993,x994,x995,x996,x997,x998,x999,x1000
          ,x1001,x1002,x1003,x1004,x1005,x1006,x1007,x1008,x1009,x1010;

Binary Variables  b1,b2,b3,b4,b5,b6,b7,b8,b9,b10,b11,b12,b13,b14,b15,b16,b17
          ,b18,b19,b20,b21,b22,b23,b24,b25,b26,b27,b28,b29,b30,b31,b32,b33,b34
          ,b35,b36,b37,b38,b39,b40,b41,b42,b43,b44,b45,b46,b47,b48,b49,b50,b51
          ,b52,b53,b54,b55,b56,b57,b58,b59,b60,b61,b62,b63,b64,b65,b66,b67,b68
          ,b69,b70,b71,b72,b73,b74,b75,b76,b77,b78,b79,b80,b81,b82,b83,b84,b85
          ,b86,b87,b88,b89,b90,b91,b92,b93,b94,b95,b96,b97,b98,b99,b100,b101
          ,b102,b103,b104,b105,b106,b107,b108,b109,b110,b111,b112,b113,b114
          ,b115,b116,b117,b118,b119,b120,b121,b122,b123,b124,b125,b126,b127
          ,b128,b129,b130,b131,b132,b133,b134,b135,b136,b137,b138,b139,b140
          ,b141,b142,b143,b144,b145,b146,b147,b148,b149,b150,b151,b152,b153
          ,b154,b155,b156,b157,b158,b159,b160,b161,b162,b163,b164,b165,b166
          ,b167,b168,b169,b170,b171,b172,b173,b174,b175,b176,b177,b178,b179
          ,b180,b181,b182,b183,b184,b185,b186,b187,b188,b189,b190,b191,b192
          ,b193,b194,b195,b196,b197,b198,b199,b200,b201,b202,b203,b204,b205
          ,b206,b207,b208,b209,b210,b211,b212,b213,b214,b215,b216,b217,b218
          ,b219,b220,b221,b222,b223,b224,b225,b226,b227,b228,b229,b230,b231
          ,b232,b233,b234,b235,b236,b237,b238,b239,b240,b241,b242,b243,b244
          ,b245,b246,b247,b248,b249,b250,b251,b252,b253,b254,b255,b256,b257
          ,b258,b259,b260,b261,b262,b263,b264,b265,b266,b267,b268,b269,b270
          ,b271,b272,b273,b274,b275,b276,b277,b278,b279,b280,b281,b282,b283
          ,b284,b285,b286,b287,b288,b289,b290,b291,b292,b293,b294,b295,b296
          ,b297,b298,b299,b300;

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
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          ,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
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          ,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,e661,e662
          ,e663,e664,e665,e666,e667,e668,e669,e670,e671,e672,e673,e674,e675
          ,e676,e677,e678,e679,e680,e681,e682,e683,e684,e685,e686,e687,e688
          ,e689,e690,e691,e692,e693,e694,e695,e696,e697,e698,e699,e700,e701
          ,e702,e703,e704,e705,e706,e707,e708,e709,e710,e711,e712,e713,e714
          ,e715,e716,e717,e718,e719,e720,e721,e722,e723,e724,e725,e726,e727
          ,e728,e729,e730,e731,e732,e733,e734,e735,e736,e737,e738,e739,e740
          ,e741,e742,e743,e744,e745,e746,e747,e748,e749,e750,e751,e752,e753
          ,e754,e755,e756,e757,e758,e759,e760,e761,e762,e763,e764,e765,e766
          ,e767,e768,e769,e770,e771,e772,e773,e774,e775,e776,e777,e778,e779
          ,e780,e781,e782,e783,e784,e785,e786,e787,e788,e789,e790,e791,e792
          ,e793,e794,e795,e796,e797,e798,e799,e800,e801,e802,e803,e804,e805
          ,e806,e807,e808,e809,e810,e811,e812,e813,e814,e815,e816,e817,e818
          ,e819,e820,e821,e822,e823,e824,e825,e826,e827,e828,e829,e830,e831
          ,e832,e833,e834,e835,e836,e837,e838,e839,e840,e841,e842,e843,e844
          ,e845,e846,e847,e848,e849,e850,e851,e852,e853,e854,e855,e856,e857
          ,e858,e859,e860,e861,e862,e863,e864,e865,e866,e867,e868,e869,e870
          ,e871,e872,e873,e874,e875,e876,e877,e878,e879,e880,e881,e882,e883
          ,e884,e885,e886,e887,e888,e889,e890,e891,e892,e893,e894,e895,e896
          ,e897,e898,e899,e900,e901,e902,e903,e904,e905,e906,e907,e908,e909
          ,e910,e911,e912,e913,e914,e915,e916,e917,e918,e919,e920,e921,e922
          ,e923,e924,e925,e926,e927,e928,e929,e930,e931,e932,e933,e934,e935
          ,e936,e937,e938,e939,e940,e941,e942,e943,e944,e945,e946,e947,e948
          ,e949,e950,e951,e952,e953,e954,e955,e956,e957,e958,e959,e960,e961
          ,e962,e963,e964,e965,e966,e967,e968,e969,e970,e971,e972,e973,e974
          ,e975,e976,e977,e978,e979,e980,e981,e982,e983,e984,e985,e986,e987
          ,e988,e989,e990,e991,e992,e993,e994,e995,e996,e997,e998,e999,e1000
          ,e1001,e1002,e1003,e1004,e1005,e1006,e1007,e1008,e1009,e1010,e1011
          ,e1012,e1013,e1014,e1015,e1016,e1017,e1018,e1019,e1020,e1021,e1022
          ,e1023,e1024,e1025,e1026,e1027,e1028,e1029,e1030,e1031,e1032,e1033
          ,e1034,e1035,e1036,e1037,e1038,e1039,e1040,e1041,e1042,e1043,e1044
          ,e1045,e1046,e1047,e1048,e1049,e1050,e1051,e1052,e1053,e1054,e1055
          ,e1056,e1057,e1058,e1059,e1060,e1061,e1062,e1063,e1064,e1065,e1066
          ,e1067,e1068,e1069,e1070,e1071,e1072,e1073,e1074,e1075,e1076,e1077
          ,e1078,e1079,e1080,e1081,e1082,e1083,e1084,e1085,e1086,e1087,e1088
          ,e1089,e1090,e1091,e1092,e1093,e1094,e1095,e1096,e1097,e1098,e1099
          ,e1100,e1101,e1102,e1103,e1104,e1105,e1106,e1107,e1108,e1109,e1110
          ,e1111,e1112,e1113,e1114,e1115,e1116,e1117,e1118,e1119,e1120,e1121
          ,e1122,e1123,e1124,e1125,e1126,e1127,e1128,e1129,e1130,e1131,e1132
          ,e1133,e1134,e1135,e1136,e1137,e1138,e1139,e1140,e1141,e1142,e1143
          ,e1144,e1145,e1146,e1147,e1148,e1149,e1150;


e1..    x301 - x302 - x303 =L= 0;

e2..  - x301 + x302 - x303 =L= 0;

e3..    x304 - x305 - x306 =L= 0;

e4..  - x304 + x305 - x306 =L= 0;

e5..    x301 - x307 - x308 =L= 0;

e6..  - x301 + x307 - x308 =L= 0;

e7..    x304 - x309 - x310 =L= 0;

e8..  - x304 + x309 - x310 =L= 0;

e9..    x301 - x311 - x312 =L= 0;

e10..  - x301 + x311 - x312 =L= 0;

e11..    x304 - x313 - x314 =L= 0;

e12..  - x304 + x313 - x314 =L= 0;

e13..    x301 - x315 - x316 =L= 0;

e14..  - x301 + x315 - x316 =L= 0;

e15..    x304 - x317 - x318 =L= 0;

e16..  - x304 + x317 - x318 =L= 0;

e17..    x301 - x319 - x320 =L= 0;

e18..  - x301 + x319 - x320 =L= 0;

e19..    x304 - x321 - x322 =L= 0;

e20..  - x304 + x321 - x322 =L= 0;

e21..    x301 - x323 - x324 =L= 0;

e22..  - x301 + x323 - x324 =L= 0;

e23..    x304 - x325 - x326 =L= 0;

e24..  - x304 + x325 - x326 =L= 0;

e25..    x301 - x327 - x328 =L= 0;

e26..  - x301 + x327 - x328 =L= 0;

e27..    x304 - x329 - x330 =L= 0;

e28..  - x304 + x329 - x330 =L= 0;

e29..    x301 - x331 - x332 =L= 0;

e30..  - x301 + x331 - x332 =L= 0;

e31..    x304 - x333 - x334 =L= 0;

e32..  - x304 + x333 - x334 =L= 0;

e33..    x301 - x335 - x336 =L= 0;

e34..  - x301 + x335 - x336 =L= 0;

e35..    x304 - x337 - x338 =L= 0;

e36..  - x304 + x337 - x338 =L= 0;

e37..    x302 - x307 - x339 =L= 0;

e38..  - x302 + x307 - x339 =L= 0;

e39..    x305 - x309 - x340 =L= 0;

e40..  - x305 + x309 - x340 =L= 0;

e41..    x302 - x311 - x341 =L= 0;

e42..  - x302 + x311 - x341 =L= 0;

e43..    x305 - x313 - x342 =L= 0;

e44..  - x305 + x313 - x342 =L= 0;

e45..    x302 - x315 - x343 =L= 0;

e46..  - x302 + x315 - x343 =L= 0;

e47..    x305 - x317 - x344 =L= 0;

e48..  - x305 + x317 - x344 =L= 0;

e49..    x302 - x319 - x345 =L= 0;

e50..  - x302 + x319 - x345 =L= 0;

e51..    x305 - x321 - x346 =L= 0;

e52..  - x305 + x321 - x346 =L= 0;

e53..    x302 - x323 - x347 =L= 0;

e54..  - x302 + x323 - x347 =L= 0;

e55..    x305 - x325 - x348 =L= 0;

e56..  - x305 + x325 - x348 =L= 0;

e57..    x302 - x327 - x349 =L= 0;

e58..  - x302 + x327 - x349 =L= 0;

e59..    x305 - x329 - x350 =L= 0;

e60..  - x305 + x329 - x350 =L= 0;

e61..    x302 - x331 - x351 =L= 0;

e62..  - x302 + x331 - x351 =L= 0;

e63..    x305 - x333 - x352 =L= 0;

e64..  - x305 + x333 - x352 =L= 0;

e65..    x302 - x335 - x353 =L= 0;

e66..  - x302 + x335 - x353 =L= 0;

e67..    x305 - x337 - x354 =L= 0;

e68..  - x305 + x337 - x354 =L= 0;

e69..    x307 - x311 - x355 =L= 0;

e70..  - x307 + x311 - x355 =L= 0;

e71..    x309 - x313 - x356 =L= 0;

e72..  - x309 + x313 - x356 =L= 0;

e73..    x307 - x315 - x357 =L= 0;

e74..  - x307 + x315 - x357 =L= 0;

e75..    x309 - x317 - x358 =L= 0;

e76..  - x309 + x317 - x358 =L= 0;

e77..    x307 - x319 - x359 =L= 0;

e78..  - x307 + x319 - x359 =L= 0;

e79..    x309 - x321 - x360 =L= 0;

e80..  - x309 + x321 - x360 =L= 0;

e81..    x307 - x323 - x361 =L= 0;

e82..  - x307 + x323 - x361 =L= 0;

e83..    x309 - x325 - x362 =L= 0;

e84..  - x309 + x325 - x362 =L= 0;

e85..    x307 - x327 - x363 =L= 0;

e86..  - x307 + x327 - x363 =L= 0;

e87..    x309 - x329 - x364 =L= 0;

e88..  - x309 + x329 - x364 =L= 0;

e89..    x307 - x331 - x365 =L= 0;

e90..  - x307 + x331 - x365 =L= 0;

e91..    x309 - x333 - x366 =L= 0;

e92..  - x309 + x333 - x366 =L= 0;

e93..    x307 - x335 - x367 =L= 0;

e94..  - x307 + x335 - x367 =L= 0;

e95..    x309 - x337 - x368 =L= 0;

e96..  - x309 + x337 - x368 =L= 0;

e97..    x311 - x315 - x369 =L= 0;

e98..  - x311 + x315 - x369 =L= 0;

e99..    x313 - x317 - x370 =L= 0;

e100..  - x313 + x317 - x370 =L= 0;

e101..    x311 - x319 - x371 =L= 0;

e102..  - x311 + x319 - x371 =L= 0;

e103..    x313 - x321 - x372 =L= 0;

e104..  - x313 + x321 - x372 =L= 0;

e105..    x311 - x323 - x373 =L= 0;

e106..  - x311 + x323 - x373 =L= 0;

e107..    x313 - x325 - x374 =L= 0;

e108..  - x313 + x325 - x374 =L= 0;

e109..    x311 - x327 - x375 =L= 0;

e110..  - x311 + x327 - x375 =L= 0;

e111..    x313 - x329 - x376 =L= 0;

e112..  - x313 + x329 - x376 =L= 0;

e113..    x311 - x331 - x377 =L= 0;

e114..  - x311 + x331 - x377 =L= 0;

e115..    x313 - x333 - x378 =L= 0;

e116..  - x313 + x333 - x378 =L= 0;

e117..    x311 - x335 - x379 =L= 0;

e118..  - x311 + x335 - x379 =L= 0;

e119..    x313 - x337 - x380 =L= 0;

e120..  - x313 + x337 - x380 =L= 0;

e121..    x315 - x319 - x381 =L= 0;

e122..  - x315 + x319 - x381 =L= 0;

e123..    x317 - x321 - x382 =L= 0;

e124..  - x317 + x321 - x382 =L= 0;

e125..    x315 - x323 - x383 =L= 0;

e126..  - x315 + x323 - x383 =L= 0;

e127..    x317 - x325 - x384 =L= 0;

e128..  - x317 + x325 - x384 =L= 0;

e129..    x315 - x327 - x385 =L= 0;

e130..  - x315 + x327 - x385 =L= 0;

e131..    x317 - x329 - x386 =L= 0;

e132..  - x317 + x329 - x386 =L= 0;

e133..    x315 - x331 - x387 =L= 0;

e134..  - x315 + x331 - x387 =L= 0;

e135..    x317 - x333 - x388 =L= 0;

e136..  - x317 + x333 - x388 =L= 0;

e137..    x315 - x335 - x389 =L= 0;

e138..  - x315 + x335 - x389 =L= 0;

e139..    x317 - x337 - x390 =L= 0;

e140..  - x317 + x337 - x390 =L= 0;

e141..    x319 - x323 - x391 =L= 0;

e142..  - x319 + x323 - x391 =L= 0;

e143..    x321 - x325 - x392 =L= 0;

e144..  - x321 + x325 - x392 =L= 0;

e145..    x319 - x327 - x393 =L= 0;

e146..  - x319 + x327 - x393 =L= 0;

e147..    x321 - x329 - x394 =L= 0;

e148..  - x321 + x329 - x394 =L= 0;

e149..    x319 - x331 - x395 =L= 0;

e150..  - x319 + x331 - x395 =L= 0;

e151..    x321 - x333 - x396 =L= 0;

e152..  - x321 + x333 - x396 =L= 0;

e153..    x319 - x335 - x397 =L= 0;

e154..  - x319 + x335 - x397 =L= 0;

e155..    x321 - x337 - x398 =L= 0;

e156..  - x321 + x337 - x398 =L= 0;

e157..    x323 - x327 - x399 =L= 0;

e158..  - x323 + x327 - x399 =L= 0;

e159..    x325 - x329 - x400 =L= 0;

e160..  - x325 + x329 - x400 =L= 0;

e161..    x323 - x331 - x401 =L= 0;

e162..  - x323 + x331 - x401 =L= 0;

e163..    x325 - x333 - x402 =L= 0;

e164..  - x325 + x333 - x402 =L= 0;

e165..    x323 - x335 - x403 =L= 0;

e166..  - x323 + x335 - x403 =L= 0;

e167..    x325 - x337 - x404 =L= 0;

e168..  - x325 + x337 - x404 =L= 0;

e169..    x327 - x331 - x405 =L= 0;

e170..  - x327 + x331 - x405 =L= 0;

e171..    x329 - x333 - x406 =L= 0;

e172..  - x329 + x333 - x406 =L= 0;

e173..    x327 - x335 - x407 =L= 0;

e174..  - x327 + x335 - x407 =L= 0;

e175..    x329 - x337 - x408 =L= 0;

e176..  - x329 + x337 - x408 =L= 0;

e177..    x331 - x335 - x409 =L= 0;

e178..  - x331 + x335 - x409 =L= 0;

e179..    x333 - x337 - x410 =L= 0;

e180..  - x333 + x337 - x410 =L= 0;

e181.. (-1 + sqr(2.84746945184196 - x411/(0.0001 + 0.9999*b1)) + sqr(
       6.74779851669768 - x412/(0.0001 + 0.9999*b1)))*(0.0001 + 0.9999*b1) + 
       0.00526408671011206*b1 =L= 0.00526408671011206;

e182.. (-1 + sqr(6.63261133839597 - x413/(0.0001 + 0.9999*b2)) + sqr(
       7.58930814907984 - x414/(0.0001 + 0.9999*b2)))*(0.0001 + 0.9999*b2) + 
       0.0100589131347908*b2 =L= 0.0100589131347908;

e183.. (-1 + sqr(2.78008351564232 - x415/(0.0001 + 0.9999*b3)) + sqr(
       5.62089512941063 - x416/(0.0001 + 0.9999*b3)))*(0.0001 + 0.9999*b3) + 
       0.00383233264097783*b3 =L= 0.00383233264097783;

e184.. (-1 + sqr(3.36345404799715 - x417/(0.0001 + 0.9999*b4)) + sqr(
       5.61693710344635 - x418/(0.0001 + 0.9999*b4)))*(0.0001 + 0.9999*b4) + 
       0.00418628055570607*b4 =L= 0.00418628055570607;

e185.. (-1 + sqr(1.46574263591158 - x419/(0.0001 + 0.9999*b5)) + sqr(
       0.14249643071642 - x420/(0.0001 + 0.9999*b5)))*(0.0001 + 0.9999*b5) + 
       0.000116870670749595*b5 =L= 0.000116870670749595;

e186.. (-1 + sqr(6.59824950993792 - x421/(0.0001 + 0.9999*b6)) + sqr(
       1.91438252349491 - x422/(0.0001 + 0.9999*b6)))*(0.0001 + 0.9999*b6) + 
       0.00462017570416588*b6 =L= 0.00462017570416588;

e187.. (-1 + sqr(2.02515523263325 - x423/(0.0001 + 0.9999*b7)) + sqr(
       3.62141731303869 - x424/(0.0001 + 0.9999*b7)))*(0.0001 + 0.9999*b7) + 
       0.00162159170714382*b7 =L= 0.00162159170714382;

e188.. (-1 + sqr(8.97152199819966 - x425/(0.0001 + 0.9999*b8)) + sqr(
       8.78133845105015 - x426/(0.0001 + 0.9999*b8)))*(0.0001 + 0.9999*b8) + 
       0.0156600111956072*b8 =L= 0.0156600111956072;

e189.. (-1 + sqr(1.87485423601802 - x427/(0.0001 + 0.9999*b9)) + sqr(
       8.96274662253461 - x428/(0.0001 + 0.9999*b9)))*(0.0001 + 0.9999*b9) + 
       0.00828459054260703*b9 =L= 0.00828459054260703;

e190.. (-1 + sqr(7.52025674966412 - x429/(0.0001 + 0.9999*b10)) + sqr(
       8.80268658264247 - x430/(0.0001 + 0.9999*b10)))*(0.0001 + 0.9999*b10) + 
       0.0133041552653103*b10 =L= 0.0133041552653103;

e191.. (-1 + sqr(3.85704114235832 - x431/(0.0001 + 0.9999*b11)) + sqr(
       6.36674450874035 - x432/(0.0001 + 0.9999*b11)))*(0.0001 + 0.9999*b11) + 
       0.00544122020134202*b11 =L= 0.00544122020134202;

e192.. (-1 + sqr(8.48963678940351 - x433/(0.0001 + 0.9999*b12)) + sqr(
       5.48402210821562 - x434/(0.0001 + 0.9999*b12)))*(0.0001 + 0.9999*b12) + 
       0.0101148431299391*b12 =L= 0.0101148431299391;

e193.. (-1 + sqr(6.03160481727421 - x435/(0.0001 + 0.9999*b13)) + sqr(
       1.276552921829 - x436/(0.0001 + 0.9999*b13)))*(0.0001 + 0.9999*b13) + 
       0.00370098440339957*b13 =L= 0.00370098440339957;

e194.. (-1 + sqr(6.90662266429413 - x437/(0.0001 + 0.9999*b14)) + sqr(
       8.78931785429954 - x438/(0.0001 + 0.9999*b14)))*(0.0001 + 0.9999*b14) + 
       0.012395354497085*b14 =L= 0.012395354497085;

e195.. (-1 + sqr(3.71078725250056 - x439/(0.0001 + 0.9999*b15)) + sqr(
       4.66415664133948 - x440/(0.0001 + 0.9999*b15)))*(0.0001 + 0.9999*b15) + 
       0.00345242992082719*b15 =L= 0.00345242992082719;

e196.. (-1 + sqr(0.107239833314705 - x441/(0.0001 + 0.9999*b16)) + sqr(
       9.26202525440128 - x442/(0.0001 + 0.9999*b16)))*(0.0001 + 0.9999*b16) + 
       0.00847966121950165*b16 =L= 0.00847966121950165;

e197.. (-1 + sqr(8.04739319923014 - x443/(0.0001 + 0.9999*b17)) + sqr(
       3.59305161391794 - x444/(0.0001 + 0.9999*b17)))*(0.0001 + 0.9999*b17) + 
       0.00766705572032937*b17 =L= 0.00766705572032937;

e198.. (-1 + sqr(5.28411061001579 - x445/(0.0001 + 0.9999*b18)) + sqr(
       9.36648183133357 - x446/(0.0001 + 0.9999*b18)))*(0.0001 + 0.9999*b18) + 
       0.0114652806835583*b18 =L= 0.0114652806835583;

e199.. (-1 + sqr(1.06171481272944 - x447/(0.0001 + 0.9999*b19)) + sqr(
       3.65844432398946 - x448/(0.0001 + 0.9999*b19)))*(0.0001 + 0.9999*b19) + 
       0.00135114532152998*b19 =L= 0.00135114532152998;

e200.. (-1 + sqr(9.05099582793631 - x449/(0.0001 + 0.9999*b20)) + sqr(
       3.98215513024397 - x450/(0.0001 + 0.9999*b20)))*(0.0001 + 0.9999*b20) + 
       0.00967780849586488*b20 =L= 0.00967780849586488;

e201.. (-1 + sqr(9.08772707393705 - x451/(0.0001 + 0.9999*b21)) + sqr(
       3.01388234113091 - x452/(0.0001 + 0.9999*b21)))*(0.0001 + 0.9999*b21) + 
       0.00906702701365492*b21 =L= 0.00906702701365492;

e202.. (-1 + sqr(8.83910845171846 - x453/(0.0001 + 0.9999*b22)) + sqr(
       8.26686922455514 - x454/(0.0001 + 0.9999*b22)))*(0.0001 + 0.9999*b22) + 
       0.0145470964997138*b22 =L= 0.0145470964997138;

e203.. (-1 + sqr(3.41090111187451 - x455/(0.0001 + 0.9999*b23)) + sqr(
       6.48985541572597 - x456/(0.0001 + 0.9999*b23)))*(0.0001 + 0.9999*b23) + 
       0.00527524697120144*b23 =L= 0.00527524697120144;

e204.. (-1 + sqr(1.22004189182266 - x457/(0.0001 + 0.9999*b24)) + sqr(
       2.52276995748249 - x458/(0.0001 + 0.9999*b24)))*(0.0001 + 0.9999*b24) + 
       0.000685287047617839*b24 =L= 0.000685287047617839;

e205.. (-1 + sqr(3.94802045665365 - x459/(0.0001 + 0.9999*b25)) + sqr(
       6.40339456473198 - x460/(0.0001 + 0.9999*b25)))*(0.0001 + 0.9999*b25) + 
       0.00555903274777947*b25 =L= 0.00555903274777947;

e206.. (-1 + sqr(4.9104301706676 - x461/(0.0001 + 0.9999*b26)) + sqr(
       3.1538945754034 - x462/(0.0001 + 0.9999*b26)))*(0.0001 + 0.9999*b26) + 
       0.00330593754537616*b26 =L= 0.00330593754537616;

e207.. (-1 + sqr(3.23176530143453 - x463/(0.0001 + 0.9999*b27)) + sqr(
       7.03644502956294 - x464/(0.0001 + 0.9999*b27)))*(0.0001 + 0.9999*b27) + 
       0.00589558656176173*b27 =L= 0.00589558656176173;

e208.. (-1 + sqr(0.39249886515424 - x465/(0.0001 + 0.9999*b28)) + sqr(
       1.58871179600639 - x466/(0.0001 + 0.9999*b28)))*(0.0001 + 0.9999*b28) + 
       0.000167806052991721*b28 =L= 0.000167806052991721;

e209.. (-1 + sqr(4.42690021019308 - x467/(0.0001 + 0.9999*b29)) + sqr(
       8.74244441962606 - x468/(0.0001 + 0.9999*b29)))*(0.0001 + 0.9999*b29) + 
       0.00950277799012584*b29 =L= 0.00950277799012584;

e210.. (-1 + sqr(2.59382124128511 - x469/(0.0001 + 0.9999*b30)) + sqr(
       9.98780114819833 - x470/(0.0001 + 0.9999*b30)))*(0.0001 + 0.9999*b30) + 
       0.0105484080407694*b30 =L= 0.0105484080407694;

e211..    b1 + b2 + b3 + b4 + b5 + b6 + b7 + b8 + b9 + b10 + b11 + b12 + b13
        + b14 + b15 + b16 + b17 + b18 + b19 + b20 + b21 + b22 + b23 + b24 + b25
        + b26 + b27 + b28 + b29 + b30 =E= 1;

e212.. (-1 + sqr(2.84746945184196 - x471/(0.0001 + 0.9999*b31)) + sqr(
       6.74779851669768 - x472/(0.0001 + 0.9999*b31)))*(0.0001 + 0.9999*b31) + 
       0.00526408671011206*b31 =L= 0.00526408671011206;

e213.. (-1 + sqr(6.63261133839597 - x473/(0.0001 + 0.9999*b32)) + sqr(
       7.58930814907984 - x474/(0.0001 + 0.9999*b32)))*(0.0001 + 0.9999*b32) + 
       0.0100589131347908*b32 =L= 0.0100589131347908;

e214.. (-1 + sqr(2.78008351564232 - x475/(0.0001 + 0.9999*b33)) + sqr(
       5.62089512941063 - x476/(0.0001 + 0.9999*b33)))*(0.0001 + 0.9999*b33) + 
       0.00383233264097783*b33 =L= 0.00383233264097783;

e215.. (-1 + sqr(3.36345404799715 - x477/(0.0001 + 0.9999*b34)) + sqr(
       5.61693710344635 - x478/(0.0001 + 0.9999*b34)))*(0.0001 + 0.9999*b34) + 
       0.00418628055570607*b34 =L= 0.00418628055570607;

e216.. (-1 + sqr(1.46574263591158 - x479/(0.0001 + 0.9999*b35)) + sqr(
       0.14249643071642 - x480/(0.0001 + 0.9999*b35)))*(0.0001 + 0.9999*b35) + 
       0.000116870670749595*b35 =L= 0.000116870670749595;

e217.. (-1 + sqr(6.59824950993792 - x481/(0.0001 + 0.9999*b36)) + sqr(
       1.91438252349491 - x482/(0.0001 + 0.9999*b36)))*(0.0001 + 0.9999*b36) + 
       0.00462017570416588*b36 =L= 0.00462017570416588;

e218.. (-1 + sqr(2.02515523263325 - x483/(0.0001 + 0.9999*b37)) + sqr(
       3.62141731303869 - x484/(0.0001 + 0.9999*b37)))*(0.0001 + 0.9999*b37) + 
       0.00162159170714382*b37 =L= 0.00162159170714382;

e219.. (-1 + sqr(8.97152199819966 - x485/(0.0001 + 0.9999*b38)) + sqr(
       8.78133845105015 - x486/(0.0001 + 0.9999*b38)))*(0.0001 + 0.9999*b38) + 
       0.0156600111956072*b38 =L= 0.0156600111956072;

e220.. (-1 + sqr(1.87485423601802 - x487/(0.0001 + 0.9999*b39)) + sqr(
       8.96274662253461 - x488/(0.0001 + 0.9999*b39)))*(0.0001 + 0.9999*b39) + 
       0.00828459054260703*b39 =L= 0.00828459054260703;

e221.. (-1 + sqr(7.52025674966412 - x489/(0.0001 + 0.9999*b40)) + sqr(
       8.80268658264247 - x490/(0.0001 + 0.9999*b40)))*(0.0001 + 0.9999*b40) + 
       0.0133041552653103*b40 =L= 0.0133041552653103;

e222.. (-1 + sqr(3.85704114235832 - x491/(0.0001 + 0.9999*b41)) + sqr(
       6.36674450874035 - x492/(0.0001 + 0.9999*b41)))*(0.0001 + 0.9999*b41) + 
       0.00544122020134202*b41 =L= 0.00544122020134202;

e223.. (-1 + sqr(8.48963678940351 - x493/(0.0001 + 0.9999*b42)) + sqr(
       5.48402210821562 - x494/(0.0001 + 0.9999*b42)))*(0.0001 + 0.9999*b42) + 
       0.0101148431299391*b42 =L= 0.0101148431299391;

e224.. (-1 + sqr(6.03160481727421 - x495/(0.0001 + 0.9999*b43)) + sqr(
       1.276552921829 - x496/(0.0001 + 0.9999*b43)))*(0.0001 + 0.9999*b43) + 
       0.00370098440339957*b43 =L= 0.00370098440339957;

e225.. (-1 + sqr(6.90662266429413 - x497/(0.0001 + 0.9999*b44)) + sqr(
       8.78931785429954 - x498/(0.0001 + 0.9999*b44)))*(0.0001 + 0.9999*b44) + 
       0.012395354497085*b44 =L= 0.012395354497085;

e226.. (-1 + sqr(3.71078725250056 - x499/(0.0001 + 0.9999*b45)) + sqr(
       4.66415664133948 - x500/(0.0001 + 0.9999*b45)))*(0.0001 + 0.9999*b45) + 
       0.00345242992082719*b45 =L= 0.00345242992082719;

e227.. (-1 + sqr(0.107239833314705 - x501/(0.0001 + 0.9999*b46)) + sqr(
       9.26202525440128 - x502/(0.0001 + 0.9999*b46)))*(0.0001 + 0.9999*b46) + 
       0.00847966121950165*b46 =L= 0.00847966121950165;

e228.. (-1 + sqr(8.04739319923014 - x503/(0.0001 + 0.9999*b47)) + sqr(
       3.59305161391794 - x504/(0.0001 + 0.9999*b47)))*(0.0001 + 0.9999*b47) + 
       0.00766705572032937*b47 =L= 0.00766705572032937;

e229.. (-1 + sqr(5.28411061001579 - x505/(0.0001 + 0.9999*b48)) + sqr(
       9.36648183133357 - x506/(0.0001 + 0.9999*b48)))*(0.0001 + 0.9999*b48) + 
       0.0114652806835583*b48 =L= 0.0114652806835583;

e230.. (-1 + sqr(1.06171481272944 - x507/(0.0001 + 0.9999*b49)) + sqr(
       3.65844432398946 - x508/(0.0001 + 0.9999*b49)))*(0.0001 + 0.9999*b49) + 
       0.00135114532152998*b49 =L= 0.00135114532152998;

e231.. (-1 + sqr(9.05099582793631 - x509/(0.0001 + 0.9999*b50)) + sqr(
       3.98215513024397 - x510/(0.0001 + 0.9999*b50)))*(0.0001 + 0.9999*b50) + 
       0.00967780849586488*b50 =L= 0.00967780849586488;

e232.. (-1 + sqr(9.08772707393705 - x511/(0.0001 + 0.9999*b51)) + sqr(
       3.01388234113091 - x512/(0.0001 + 0.9999*b51)))*(0.0001 + 0.9999*b51) + 
       0.00906702701365492*b51 =L= 0.00906702701365492;

e233.. (-1 + sqr(8.83910845171846 - x513/(0.0001 + 0.9999*b52)) + sqr(
       8.26686922455514 - x514/(0.0001 + 0.9999*b52)))*(0.0001 + 0.9999*b52) + 
       0.0145470964997138*b52 =L= 0.0145470964997138;

e234.. (-1 + sqr(3.41090111187451 - x515/(0.0001 + 0.9999*b53)) + sqr(
       6.48985541572597 - x516/(0.0001 + 0.9999*b53)))*(0.0001 + 0.9999*b53) + 
       0.00527524697120144*b53 =L= 0.00527524697120144;

e235.. (-1 + sqr(1.22004189182266 - x517/(0.0001 + 0.9999*b54)) + sqr(
       2.52276995748249 - x518/(0.0001 + 0.9999*b54)))*(0.0001 + 0.9999*b54) + 
       0.000685287047617839*b54 =L= 0.000685287047617839;

e236.. (-1 + sqr(3.94802045665365 - x519/(0.0001 + 0.9999*b55)) + sqr(
       6.40339456473198 - x520/(0.0001 + 0.9999*b55)))*(0.0001 + 0.9999*b55) + 
       0.00555903274777947*b55 =L= 0.00555903274777947;

e237.. (-1 + sqr(4.9104301706676 - x521/(0.0001 + 0.9999*b56)) + sqr(
       3.1538945754034 - x522/(0.0001 + 0.9999*b56)))*(0.0001 + 0.9999*b56) + 
       0.00330593754537616*b56 =L= 0.00330593754537616;

e238.. (-1 + sqr(3.23176530143453 - x523/(0.0001 + 0.9999*b57)) + sqr(
       7.03644502956294 - x524/(0.0001 + 0.9999*b57)))*(0.0001 + 0.9999*b57) + 
       0.00589558656176173*b57 =L= 0.00589558656176173;

e239.. (-1 + sqr(0.39249886515424 - x525/(0.0001 + 0.9999*b58)) + sqr(
       1.58871179600639 - x526/(0.0001 + 0.9999*b58)))*(0.0001 + 0.9999*b58) + 
       0.000167806052991721*b58 =L= 0.000167806052991721;

e240.. (-1 + sqr(4.42690021019308 - x527/(0.0001 + 0.9999*b59)) + sqr(
       8.74244441962606 - x528/(0.0001 + 0.9999*b59)))*(0.0001 + 0.9999*b59) + 
       0.00950277799012584*b59 =L= 0.00950277799012584;

e241.. (-1 + sqr(2.59382124128511 - x529/(0.0001 + 0.9999*b60)) + sqr(
       9.98780114819833 - x530/(0.0001 + 0.9999*b60)))*(0.0001 + 0.9999*b60) + 
       0.0105484080407694*b60 =L= 0.0105484080407694;

e242..    b31 + b32 + b33 + b34 + b35 + b36 + b37 + b38 + b39 + b40 + b41 + b42
        + b43 + b44 + b45 + b46 + b47 + b48 + b49 + b50 + b51 + b52 + b53 + b54
        + b55 + b56 + b57 + b58 + b59 + b60 =E= 1;

e243.. (-1 + sqr(2.84746945184196 - x531/(0.0001 + 0.9999*b61)) + sqr(
       6.74779851669768 - x532/(0.0001 + 0.9999*b61)))*(0.0001 + 0.9999*b61) + 
       0.00526408671011206*b61 =L= 0.00526408671011206;

e244.. (-1 + sqr(6.63261133839597 - x533/(0.0001 + 0.9999*b62)) + sqr(
       7.58930814907984 - x534/(0.0001 + 0.9999*b62)))*(0.0001 + 0.9999*b62) + 
       0.0100589131347908*b62 =L= 0.0100589131347908;

e245.. (-1 + sqr(2.78008351564232 - x535/(0.0001 + 0.9999*b63)) + sqr(
       5.62089512941063 - x536/(0.0001 + 0.9999*b63)))*(0.0001 + 0.9999*b63) + 
       0.00383233264097783*b63 =L= 0.00383233264097783;

e246.. (-1 + sqr(3.36345404799715 - x537/(0.0001 + 0.9999*b64)) + sqr(
       5.61693710344635 - x538/(0.0001 + 0.9999*b64)))*(0.0001 + 0.9999*b64) + 
       0.00418628055570607*b64 =L= 0.00418628055570607;

e247.. (-1 + sqr(1.46574263591158 - x539/(0.0001 + 0.9999*b65)) + sqr(
       0.14249643071642 - x540/(0.0001 + 0.9999*b65)))*(0.0001 + 0.9999*b65) + 
       0.000116870670749595*b65 =L= 0.000116870670749595;

e248.. (-1 + sqr(6.59824950993792 - x541/(0.0001 + 0.9999*b66)) + sqr(
       1.91438252349491 - x542/(0.0001 + 0.9999*b66)))*(0.0001 + 0.9999*b66) + 
       0.00462017570416588*b66 =L= 0.00462017570416588;

e249.. (-1 + sqr(2.02515523263325 - x543/(0.0001 + 0.9999*b67)) + sqr(
       3.62141731303869 - x544/(0.0001 + 0.9999*b67)))*(0.0001 + 0.9999*b67) + 
       0.00162159170714382*b67 =L= 0.00162159170714382;

e250.. (-1 + sqr(8.97152199819966 - x545/(0.0001 + 0.9999*b68)) + sqr(
       8.78133845105015 - x546/(0.0001 + 0.9999*b68)))*(0.0001 + 0.9999*b68) + 
       0.0156600111956072*b68 =L= 0.0156600111956072;

e251.. (-1 + sqr(1.87485423601802 - x547/(0.0001 + 0.9999*b69)) + sqr(
       8.96274662253461 - x548/(0.0001 + 0.9999*b69)))*(0.0001 + 0.9999*b69) + 
       0.00828459054260703*b69 =L= 0.00828459054260703;

e252.. (-1 + sqr(7.52025674966412 - x549/(0.0001 + 0.9999*b70)) + sqr(
       8.80268658264247 - x550/(0.0001 + 0.9999*b70)))*(0.0001 + 0.9999*b70) + 
       0.0133041552653103*b70 =L= 0.0133041552653103;

e253.. (-1 + sqr(3.85704114235832 - x551/(0.0001 + 0.9999*b71)) + sqr(
       6.36674450874035 - x552/(0.0001 + 0.9999*b71)))*(0.0001 + 0.9999*b71) + 
       0.00544122020134202*b71 =L= 0.00544122020134202;

e254.. (-1 + sqr(8.48963678940351 - x553/(0.0001 + 0.9999*b72)) + sqr(
       5.48402210821562 - x554/(0.0001 + 0.9999*b72)))*(0.0001 + 0.9999*b72) + 
       0.0101148431299391*b72 =L= 0.0101148431299391;

e255.. (-1 + sqr(6.03160481727421 - x555/(0.0001 + 0.9999*b73)) + sqr(
       1.276552921829 - x556/(0.0001 + 0.9999*b73)))*(0.0001 + 0.9999*b73) + 
       0.00370098440339957*b73 =L= 0.00370098440339957;

e256.. (-1 + sqr(6.90662266429413 - x557/(0.0001 + 0.9999*b74)) + sqr(
       8.78931785429954 - x558/(0.0001 + 0.9999*b74)))*(0.0001 + 0.9999*b74) + 
       0.012395354497085*b74 =L= 0.012395354497085;

e257.. (-1 + sqr(3.71078725250056 - x559/(0.0001 + 0.9999*b75)) + sqr(
       4.66415664133948 - x560/(0.0001 + 0.9999*b75)))*(0.0001 + 0.9999*b75) + 
       0.00345242992082719*b75 =L= 0.00345242992082719;

e258.. (-1 + sqr(0.107239833314705 - x561/(0.0001 + 0.9999*b76)) + sqr(
       9.26202525440128 - x562/(0.0001 + 0.9999*b76)))*(0.0001 + 0.9999*b76) + 
       0.00847966121950165*b76 =L= 0.00847966121950165;

e259.. (-1 + sqr(8.04739319923014 - x563/(0.0001 + 0.9999*b77)) + sqr(
       3.59305161391794 - x564/(0.0001 + 0.9999*b77)))*(0.0001 + 0.9999*b77) + 
       0.00766705572032937*b77 =L= 0.00766705572032937;

e260.. (-1 + sqr(5.28411061001579 - x565/(0.0001 + 0.9999*b78)) + sqr(
       9.36648183133357 - x566/(0.0001 + 0.9999*b78)))*(0.0001 + 0.9999*b78) + 
       0.0114652806835583*b78 =L= 0.0114652806835583;

e261.. (-1 + sqr(1.06171481272944 - x567/(0.0001 + 0.9999*b79)) + sqr(
       3.65844432398946 - x568/(0.0001 + 0.9999*b79)))*(0.0001 + 0.9999*b79) + 
       0.00135114532152998*b79 =L= 0.00135114532152998;

e262.. (-1 + sqr(9.05099582793631 - x569/(0.0001 + 0.9999*b80)) + sqr(
       3.98215513024397 - x570/(0.0001 + 0.9999*b80)))*(0.0001 + 0.9999*b80) + 
       0.00967780849586488*b80 =L= 0.00967780849586488;

e263.. (-1 + sqr(9.08772707393705 - x571/(0.0001 + 0.9999*b81)) + sqr(
       3.01388234113091 - x572/(0.0001 + 0.9999*b81)))*(0.0001 + 0.9999*b81) + 
       0.00906702701365492*b81 =L= 0.00906702701365492;

e264.. (-1 + sqr(8.83910845171846 - x573/(0.0001 + 0.9999*b82)) + sqr(
       8.26686922455514 - x574/(0.0001 + 0.9999*b82)))*(0.0001 + 0.9999*b82) + 
       0.0145470964997138*b82 =L= 0.0145470964997138;

e265.. (-1 + sqr(3.41090111187451 - x575/(0.0001 + 0.9999*b83)) + sqr(
       6.48985541572597 - x576/(0.0001 + 0.9999*b83)))*(0.0001 + 0.9999*b83) + 
       0.00527524697120144*b83 =L= 0.00527524697120144;

e266.. (-1 + sqr(1.22004189182266 - x577/(0.0001 + 0.9999*b84)) + sqr(
       2.52276995748249 - x578/(0.0001 + 0.9999*b84)))*(0.0001 + 0.9999*b84) + 
       0.000685287047617839*b84 =L= 0.000685287047617839;

e267.. (-1 + sqr(3.94802045665365 - x579/(0.0001 + 0.9999*b85)) + sqr(
       6.40339456473198 - x580/(0.0001 + 0.9999*b85)))*(0.0001 + 0.9999*b85) + 
       0.00555903274777947*b85 =L= 0.00555903274777947;

e268.. (-1 + sqr(4.9104301706676 - x581/(0.0001 + 0.9999*b86)) + sqr(
       3.1538945754034 - x582/(0.0001 + 0.9999*b86)))*(0.0001 + 0.9999*b86) + 
       0.00330593754537616*b86 =L= 0.00330593754537616;

e269.. (-1 + sqr(3.23176530143453 - x583/(0.0001 + 0.9999*b87)) + sqr(
       7.03644502956294 - x584/(0.0001 + 0.9999*b87)))*(0.0001 + 0.9999*b87) + 
       0.00589558656176173*b87 =L= 0.00589558656176173;

e270.. (-1 + sqr(0.39249886515424 - x585/(0.0001 + 0.9999*b88)) + sqr(
       1.58871179600639 - x586/(0.0001 + 0.9999*b88)))*(0.0001 + 0.9999*b88) + 
       0.000167806052991721*b88 =L= 0.000167806052991721;

e271.. (-1 + sqr(4.42690021019308 - x587/(0.0001 + 0.9999*b89)) + sqr(
       8.74244441962606 - x588/(0.0001 + 0.9999*b89)))*(0.0001 + 0.9999*b89) + 
       0.00950277799012584*b89 =L= 0.00950277799012584;

e272.. (-1 + sqr(2.59382124128511 - x589/(0.0001 + 0.9999*b90)) + sqr(
       9.98780114819833 - x590/(0.0001 + 0.9999*b90)))*(0.0001 + 0.9999*b90) + 
       0.0105484080407694*b90 =L= 0.0105484080407694;

e273..    b61 + b62 + b63 + b64 + b65 + b66 + b67 + b68 + b69 + b70 + b71 + b72
        + b73 + b74 + b75 + b76 + b77 + b78 + b79 + b80 + b81 + b82 + b83 + b84
        + b85 + b86 + b87 + b88 + b89 + b90 =E= 1;

e274.. (-1 + sqr(2.84746945184196 - x591/(0.0001 + 0.9999*b91)) + sqr(
       6.74779851669768 - x592/(0.0001 + 0.9999*b91)))*(0.0001 + 0.9999*b91) + 
       0.00526408671011206*b91 =L= 0.00526408671011206;

e275.. (-1 + sqr(6.63261133839597 - x593/(0.0001 + 0.9999*b92)) + sqr(
       7.58930814907984 - x594/(0.0001 + 0.9999*b92)))*(0.0001 + 0.9999*b92) + 
       0.0100589131347908*b92 =L= 0.0100589131347908;

e276.. (-1 + sqr(2.78008351564232 - x595/(0.0001 + 0.9999*b93)) + sqr(
       5.62089512941063 - x596/(0.0001 + 0.9999*b93)))*(0.0001 + 0.9999*b93) + 
       0.00383233264097783*b93 =L= 0.00383233264097783;

e277.. (-1 + sqr(3.36345404799715 - x597/(0.0001 + 0.9999*b94)) + sqr(
       5.61693710344635 - x598/(0.0001 + 0.9999*b94)))*(0.0001 + 0.9999*b94) + 
       0.00418628055570607*b94 =L= 0.00418628055570607;

e278.. (-1 + sqr(1.46574263591158 - x599/(0.0001 + 0.9999*b95)) + sqr(
       0.14249643071642 - x600/(0.0001 + 0.9999*b95)))*(0.0001 + 0.9999*b95) + 
       0.000116870670749595*b95 =L= 0.000116870670749595;

e279.. (-1 + sqr(6.59824950993792 - x601/(0.0001 + 0.9999*b96)) + sqr(
       1.91438252349491 - x602/(0.0001 + 0.9999*b96)))*(0.0001 + 0.9999*b96) + 
       0.00462017570416588*b96 =L= 0.00462017570416588;

e280.. (-1 + sqr(2.02515523263325 - x603/(0.0001 + 0.9999*b97)) + sqr(
       3.62141731303869 - x604/(0.0001 + 0.9999*b97)))*(0.0001 + 0.9999*b97) + 
       0.00162159170714382*b97 =L= 0.00162159170714382;

e281.. (-1 + sqr(8.97152199819966 - x605/(0.0001 + 0.9999*b98)) + sqr(
       8.78133845105015 - x606/(0.0001 + 0.9999*b98)))*(0.0001 + 0.9999*b98) + 
       0.0156600111956072*b98 =L= 0.0156600111956072;

e282.. (-1 + sqr(1.87485423601802 - x607/(0.0001 + 0.9999*b99)) + sqr(
       8.96274662253461 - x608/(0.0001 + 0.9999*b99)))*(0.0001 + 0.9999*b99) + 
       0.00828459054260703*b99 =L= 0.00828459054260703;

e283.. (-1 + sqr(7.52025674966412 - x609/(0.0001 + 0.9999*b100)) + sqr(
       8.80268658264247 - x610/(0.0001 + 0.9999*b100)))*(0.0001 + 0.9999*b100)
        + 0.0133041552653103*b100 =L= 0.0133041552653103;

e284.. (-1 + sqr(3.85704114235832 - x611/(0.0001 + 0.9999*b101)) + sqr(
       6.36674450874035 - x612/(0.0001 + 0.9999*b101)))*(0.0001 + 0.9999*b101)
        + 0.00544122020134202*b101 =L= 0.00544122020134202;

e285.. (-1 + sqr(8.48963678940351 - x613/(0.0001 + 0.9999*b102)) + sqr(
       5.48402210821562 - x614/(0.0001 + 0.9999*b102)))*(0.0001 + 0.9999*b102)
        + 0.0101148431299391*b102 =L= 0.0101148431299391;

e286.. (-1 + sqr(6.03160481727421 - x615/(0.0001 + 0.9999*b103)) + sqr(
       1.276552921829 - x616/(0.0001 + 0.9999*b103)))*(0.0001 + 0.9999*b103) + 
       0.00370098440339957*b103 =L= 0.00370098440339957;

e287.. (-1 + sqr(6.90662266429413 - x617/(0.0001 + 0.9999*b104)) + sqr(
       8.78931785429954 - x618/(0.0001 + 0.9999*b104)))*(0.0001 + 0.9999*b104)
        + 0.012395354497085*b104 =L= 0.012395354497085;

e288.. (-1 + sqr(3.71078725250056 - x619/(0.0001 + 0.9999*b105)) + sqr(
       4.66415664133948 - x620/(0.0001 + 0.9999*b105)))*(0.0001 + 0.9999*b105)
        + 0.00345242992082719*b105 =L= 0.00345242992082719;

e289.. (-1 + sqr(0.107239833314705 - x621/(0.0001 + 0.9999*b106)) + sqr(
       9.26202525440128 - x622/(0.0001 + 0.9999*b106)))*(0.0001 + 0.9999*b106)
        + 0.00847966121950165*b106 =L= 0.00847966121950165;

e290.. (-1 + sqr(8.04739319923014 - x623/(0.0001 + 0.9999*b107)) + sqr(
       3.59305161391794 - x624/(0.0001 + 0.9999*b107)))*(0.0001 + 0.9999*b107)
        + 0.00766705572032937*b107 =L= 0.00766705572032937;

e291.. (-1 + sqr(5.28411061001579 - x625/(0.0001 + 0.9999*b108)) + sqr(
       9.36648183133357 - x626/(0.0001 + 0.9999*b108)))*(0.0001 + 0.9999*b108)
        + 0.0114652806835583*b108 =L= 0.0114652806835583;

e292.. (-1 + sqr(1.06171481272944 - x627/(0.0001 + 0.9999*b109)) + sqr(
       3.65844432398946 - x628/(0.0001 + 0.9999*b109)))*(0.0001 + 0.9999*b109)
        + 0.00135114532152998*b109 =L= 0.00135114532152998;

e293.. (-1 + sqr(9.05099582793631 - x629/(0.0001 + 0.9999*b110)) + sqr(
       3.98215513024397 - x630/(0.0001 + 0.9999*b110)))*(0.0001 + 0.9999*b110)
        + 0.00967780849586488*b110 =L= 0.00967780849586488;

e294.. (-1 + sqr(9.08772707393705 - x631/(0.0001 + 0.9999*b111)) + sqr(
       3.01388234113091 - x632/(0.0001 + 0.9999*b111)))*(0.0001 + 0.9999*b111)
        + 0.00906702701365492*b111 =L= 0.00906702701365492;

e295.. (-1 + sqr(8.83910845171846 - x633/(0.0001 + 0.9999*b112)) + sqr(
       8.26686922455514 - x634/(0.0001 + 0.9999*b112)))*(0.0001 + 0.9999*b112)
        + 0.0145470964997138*b112 =L= 0.0145470964997138;

e296.. (-1 + sqr(3.41090111187451 - x635/(0.0001 + 0.9999*b113)) + sqr(
       6.48985541572597 - x636/(0.0001 + 0.9999*b113)))*(0.0001 + 0.9999*b113)
        + 0.00527524697120144*b113 =L= 0.00527524697120144;

e297.. (-1 + sqr(1.22004189182266 - x637/(0.0001 + 0.9999*b114)) + sqr(
       2.52276995748249 - x638/(0.0001 + 0.9999*b114)))*(0.0001 + 0.9999*b114)
        + 0.000685287047617839*b114 =L= 0.000685287047617839;

e298.. (-1 + sqr(3.94802045665365 - x639/(0.0001 + 0.9999*b115)) + sqr(
       6.40339456473198 - x640/(0.0001 + 0.9999*b115)))*(0.0001 + 0.9999*b115)
        + 0.00555903274777947*b115 =L= 0.00555903274777947;

e299.. (-1 + sqr(4.9104301706676 - x641/(0.0001 + 0.9999*b116)) + sqr(
       3.1538945754034 - x642/(0.0001 + 0.9999*b116)))*(0.0001 + 0.9999*b116)
        + 0.00330593754537616*b116 =L= 0.00330593754537616;

e300.. (-1 + sqr(3.23176530143453 - x643/(0.0001 + 0.9999*b117)) + sqr(
       7.03644502956294 - x644/(0.0001 + 0.9999*b117)))*(0.0001 + 0.9999*b117)
        + 0.00589558656176173*b117 =L= 0.00589558656176173;

e301.. (-1 + sqr(0.39249886515424 - x645/(0.0001 + 0.9999*b118)) + sqr(
       1.58871179600639 - x646/(0.0001 + 0.9999*b118)))*(0.0001 + 0.9999*b118)
        + 0.000167806052991721*b118 =L= 0.000167806052991721;

e302.. (-1 + sqr(4.42690021019308 - x647/(0.0001 + 0.9999*b119)) + sqr(
       8.74244441962606 - x648/(0.0001 + 0.9999*b119)))*(0.0001 + 0.9999*b119)
        + 0.00950277799012584*b119 =L= 0.00950277799012584;

e303.. (-1 + sqr(2.59382124128511 - x649/(0.0001 + 0.9999*b120)) + sqr(
       9.98780114819833 - x650/(0.0001 + 0.9999*b120)))*(0.0001 + 0.9999*b120)
        + 0.0105484080407694*b120 =L= 0.0105484080407694;

e304..    b91 + b92 + b93 + b94 + b95 + b96 + b97 + b98 + b99 + b100 + b101
        + b102 + b103 + b104 + b105 + b106 + b107 + b108 + b109 + b110 + b111
        + b112 + b113 + b114 + b115 + b116 + b117 + b118 + b119 + b120 =E= 1;

e305.. (-1 + sqr(2.84746945184196 - x651/(0.0001 + 0.9999*b121)) + sqr(
       6.74779851669768 - x652/(0.0001 + 0.9999*b121)))*(0.0001 + 0.9999*b121)
        + 0.00526408671011206*b121 =L= 0.00526408671011206;

e306.. (-1 + sqr(6.63261133839597 - x653/(0.0001 + 0.9999*b122)) + sqr(
       7.58930814907984 - x654/(0.0001 + 0.9999*b122)))*(0.0001 + 0.9999*b122)
        + 0.0100589131347908*b122 =L= 0.0100589131347908;

e307.. (-1 + sqr(2.78008351564232 - x655/(0.0001 + 0.9999*b123)) + sqr(
       5.62089512941063 - x656/(0.0001 + 0.9999*b123)))*(0.0001 + 0.9999*b123)
        + 0.00383233264097783*b123 =L= 0.00383233264097783;

e308.. (-1 + sqr(3.36345404799715 - x657/(0.0001 + 0.9999*b124)) + sqr(
       5.61693710344635 - x658/(0.0001 + 0.9999*b124)))*(0.0001 + 0.9999*b124)
        + 0.00418628055570607*b124 =L= 0.00418628055570607;

e309.. (-1 + sqr(1.46574263591158 - x659/(0.0001 + 0.9999*b125)) + sqr(
       0.14249643071642 - x660/(0.0001 + 0.9999*b125)))*(0.0001 + 0.9999*b125)
        + 0.000116870670749595*b125 =L= 0.000116870670749595;

e310.. (-1 + sqr(6.59824950993792 - x661/(0.0001 + 0.9999*b126)) + sqr(
       1.91438252349491 - x662/(0.0001 + 0.9999*b126)))*(0.0001 + 0.9999*b126)
        + 0.00462017570416588*b126 =L= 0.00462017570416588;

e311.. (-1 + sqr(2.02515523263325 - x663/(0.0001 + 0.9999*b127)) + sqr(
       3.62141731303869 - x664/(0.0001 + 0.9999*b127)))*(0.0001 + 0.9999*b127)
        + 0.00162159170714382*b127 =L= 0.00162159170714382;

e312.. (-1 + sqr(8.97152199819966 - x665/(0.0001 + 0.9999*b128)) + sqr(
       8.78133845105015 - x666/(0.0001 + 0.9999*b128)))*(0.0001 + 0.9999*b128)
        + 0.0156600111956072*b128 =L= 0.0156600111956072;

e313.. (-1 + sqr(1.87485423601802 - x667/(0.0001 + 0.9999*b129)) + sqr(
       8.96274662253461 - x668/(0.0001 + 0.9999*b129)))*(0.0001 + 0.9999*b129)
        + 0.00828459054260703*b129 =L= 0.00828459054260703;

e314.. (-1 + sqr(7.52025674966412 - x669/(0.0001 + 0.9999*b130)) + sqr(
       8.80268658264247 - x670/(0.0001 + 0.9999*b130)))*(0.0001 + 0.9999*b130)
        + 0.0133041552653103*b130 =L= 0.0133041552653103;

e315.. (-1 + sqr(3.85704114235832 - x671/(0.0001 + 0.9999*b131)) + sqr(
       6.36674450874035 - x672/(0.0001 + 0.9999*b131)))*(0.0001 + 0.9999*b131)
        + 0.00544122020134202*b131 =L= 0.00544122020134202;

e316.. (-1 + sqr(8.48963678940351 - x673/(0.0001 + 0.9999*b132)) + sqr(
       5.48402210821562 - x674/(0.0001 + 0.9999*b132)))*(0.0001 + 0.9999*b132)
        + 0.0101148431299391*b132 =L= 0.0101148431299391;

e317.. (-1 + sqr(6.03160481727421 - x675/(0.0001 + 0.9999*b133)) + sqr(
       1.276552921829 - x676/(0.0001 + 0.9999*b133)))*(0.0001 + 0.9999*b133) + 
       0.00370098440339957*b133 =L= 0.00370098440339957;

e318.. (-1 + sqr(6.90662266429413 - x677/(0.0001 + 0.9999*b134)) + sqr(
       8.78931785429954 - x678/(0.0001 + 0.9999*b134)))*(0.0001 + 0.9999*b134)
        + 0.012395354497085*b134 =L= 0.012395354497085;

e319.. (-1 + sqr(3.71078725250056 - x679/(0.0001 + 0.9999*b135)) + sqr(
       4.66415664133948 - x680/(0.0001 + 0.9999*b135)))*(0.0001 + 0.9999*b135)
        + 0.00345242992082719*b135 =L= 0.00345242992082719;

e320.. (-1 + sqr(0.107239833314705 - x681/(0.0001 + 0.9999*b136)) + sqr(
       9.26202525440128 - x682/(0.0001 + 0.9999*b136)))*(0.0001 + 0.9999*b136)
        + 0.00847966121950165*b136 =L= 0.00847966121950165;

e321.. (-1 + sqr(8.04739319923014 - x683/(0.0001 + 0.9999*b137)) + sqr(
       3.59305161391794 - x684/(0.0001 + 0.9999*b137)))*(0.0001 + 0.9999*b137)
        + 0.00766705572032937*b137 =L= 0.00766705572032937;

e322.. (-1 + sqr(5.28411061001579 - x685/(0.0001 + 0.9999*b138)) + sqr(
       9.36648183133357 - x686/(0.0001 + 0.9999*b138)))*(0.0001 + 0.9999*b138)
        + 0.0114652806835583*b138 =L= 0.0114652806835583;

e323.. (-1 + sqr(1.06171481272944 - x687/(0.0001 + 0.9999*b139)) + sqr(
       3.65844432398946 - x688/(0.0001 + 0.9999*b139)))*(0.0001 + 0.9999*b139)
        + 0.00135114532152998*b139 =L= 0.00135114532152998;

e324.. (-1 + sqr(9.05099582793631 - x689/(0.0001 + 0.9999*b140)) + sqr(
       3.98215513024397 - x690/(0.0001 + 0.9999*b140)))*(0.0001 + 0.9999*b140)
        + 0.00967780849586488*b140 =L= 0.00967780849586488;

e325.. (-1 + sqr(9.08772707393705 - x691/(0.0001 + 0.9999*b141)) + sqr(
       3.01388234113091 - x692/(0.0001 + 0.9999*b141)))*(0.0001 + 0.9999*b141)
        + 0.00906702701365492*b141 =L= 0.00906702701365492;

e326.. (-1 + sqr(8.83910845171846 - x693/(0.0001 + 0.9999*b142)) + sqr(
       8.26686922455514 - x694/(0.0001 + 0.9999*b142)))*(0.0001 + 0.9999*b142)
        + 0.0145470964997138*b142 =L= 0.0145470964997138;

e327.. (-1 + sqr(3.41090111187451 - x695/(0.0001 + 0.9999*b143)) + sqr(
       6.48985541572597 - x696/(0.0001 + 0.9999*b143)))*(0.0001 + 0.9999*b143)
        + 0.00527524697120144*b143 =L= 0.00527524697120144;

e328.. (-1 + sqr(1.22004189182266 - x697/(0.0001 + 0.9999*b144)) + sqr(
       2.52276995748249 - x698/(0.0001 + 0.9999*b144)))*(0.0001 + 0.9999*b144)
        + 0.000685287047617839*b144 =L= 0.000685287047617839;

e329.. (-1 + sqr(3.94802045665365 - x699/(0.0001 + 0.9999*b145)) + sqr(
       6.40339456473198 - x700/(0.0001 + 0.9999*b145)))*(0.0001 + 0.9999*b145)
        + 0.00555903274777947*b145 =L= 0.00555903274777947;

e330.. (-1 + sqr(4.9104301706676 - x701/(0.0001 + 0.9999*b146)) + sqr(
       3.1538945754034 - x702/(0.0001 + 0.9999*b146)))*(0.0001 + 0.9999*b146)
        + 0.00330593754537616*b146 =L= 0.00330593754537616;

e331.. (-1 + sqr(3.23176530143453 - x703/(0.0001 + 0.9999*b147)) + sqr(
       7.03644502956294 - x704/(0.0001 + 0.9999*b147)))*(0.0001 + 0.9999*b147)
        + 0.00589558656176173*b147 =L= 0.00589558656176173;

e332.. (-1 + sqr(0.39249886515424 - x705/(0.0001 + 0.9999*b148)) + sqr(
       1.58871179600639 - x706/(0.0001 + 0.9999*b148)))*(0.0001 + 0.9999*b148)
        + 0.000167806052991721*b148 =L= 0.000167806052991721;

e333.. (-1 + sqr(4.42690021019308 - x707/(0.0001 + 0.9999*b149)) + sqr(
       8.74244441962606 - x708/(0.0001 + 0.9999*b149)))*(0.0001 + 0.9999*b149)
        + 0.00950277799012584*b149 =L= 0.00950277799012584;

e334.. (-1 + sqr(2.59382124128511 - x709/(0.0001 + 0.9999*b150)) + sqr(
       9.98780114819833 - x710/(0.0001 + 0.9999*b150)))*(0.0001 + 0.9999*b150)
        + 0.0105484080407694*b150 =L= 0.0105484080407694;

e335..    b121 + b122 + b123 + b124 + b125 + b126 + b127 + b128 + b129 + b130
        + b131 + b132 + b133 + b134 + b135 + b136 + b137 + b138 + b139 + b140
        + b141 + b142 + b143 + b144 + b145 + b146 + b147 + b148 + b149 + b150
        =E= 1;

e336.. (-1 + sqr(2.84746945184196 - x711/(0.0001 + 0.9999*b151)) + sqr(
       6.74779851669768 - x712/(0.0001 + 0.9999*b151)))*(0.0001 + 0.9999*b151)
        + 0.00526408671011206*b151 =L= 0.00526408671011206;

e337.. (-1 + sqr(6.63261133839597 - x713/(0.0001 + 0.9999*b152)) + sqr(
       7.58930814907984 - x714/(0.0001 + 0.9999*b152)))*(0.0001 + 0.9999*b152)
        + 0.0100589131347908*b152 =L= 0.0100589131347908;

e338.. (-1 + sqr(2.78008351564232 - x715/(0.0001 + 0.9999*b153)) + sqr(
       5.62089512941063 - x716/(0.0001 + 0.9999*b153)))*(0.0001 + 0.9999*b153)
        + 0.00383233264097783*b153 =L= 0.00383233264097783;

e339.. (-1 + sqr(3.36345404799715 - x717/(0.0001 + 0.9999*b154)) + sqr(
       5.61693710344635 - x718/(0.0001 + 0.9999*b154)))*(0.0001 + 0.9999*b154)
        + 0.00418628055570607*b154 =L= 0.00418628055570607;

e340.. (-1 + sqr(1.46574263591158 - x719/(0.0001 + 0.9999*b155)) + sqr(
       0.14249643071642 - x720/(0.0001 + 0.9999*b155)))*(0.0001 + 0.9999*b155)
        + 0.000116870670749595*b155 =L= 0.000116870670749595;

e341.. (-1 + sqr(6.59824950993792 - x721/(0.0001 + 0.9999*b156)) + sqr(
       1.91438252349491 - x722/(0.0001 + 0.9999*b156)))*(0.0001 + 0.9999*b156)
        + 0.00462017570416588*b156 =L= 0.00462017570416588;

e342.. (-1 + sqr(2.02515523263325 - x723/(0.0001 + 0.9999*b157)) + sqr(
       3.62141731303869 - x724/(0.0001 + 0.9999*b157)))*(0.0001 + 0.9999*b157)
        + 0.00162159170714382*b157 =L= 0.00162159170714382;

e343.. (-1 + sqr(8.97152199819966 - x725/(0.0001 + 0.9999*b158)) + sqr(
       8.78133845105015 - x726/(0.0001 + 0.9999*b158)))*(0.0001 + 0.9999*b158)
        + 0.0156600111956072*b158 =L= 0.0156600111956072;

e344.. (-1 + sqr(1.87485423601802 - x727/(0.0001 + 0.9999*b159)) + sqr(
       8.96274662253461 - x728/(0.0001 + 0.9999*b159)))*(0.0001 + 0.9999*b159)
        + 0.00828459054260703*b159 =L= 0.00828459054260703;

e345.. (-1 + sqr(7.52025674966412 - x729/(0.0001 + 0.9999*b160)) + sqr(
       8.80268658264247 - x730/(0.0001 + 0.9999*b160)))*(0.0001 + 0.9999*b160)
        + 0.0133041552653103*b160 =L= 0.0133041552653103;

e346.. (-1 + sqr(3.85704114235832 - x731/(0.0001 + 0.9999*b161)) + sqr(
       6.36674450874035 - x732/(0.0001 + 0.9999*b161)))*(0.0001 + 0.9999*b161)
        + 0.00544122020134202*b161 =L= 0.00544122020134202;

e347.. (-1 + sqr(8.48963678940351 - x733/(0.0001 + 0.9999*b162)) + sqr(
       5.48402210821562 - x734/(0.0001 + 0.9999*b162)))*(0.0001 + 0.9999*b162)
        + 0.0101148431299391*b162 =L= 0.0101148431299391;

e348.. (-1 + sqr(6.03160481727421 - x735/(0.0001 + 0.9999*b163)) + sqr(
       1.276552921829 - x736/(0.0001 + 0.9999*b163)))*(0.0001 + 0.9999*b163) + 
       0.00370098440339957*b163 =L= 0.00370098440339957;

e349.. (-1 + sqr(6.90662266429413 - x737/(0.0001 + 0.9999*b164)) + sqr(
       8.78931785429954 - x738/(0.0001 + 0.9999*b164)))*(0.0001 + 0.9999*b164)
        + 0.012395354497085*b164 =L= 0.012395354497085;

e350.. (-1 + sqr(3.71078725250056 - x739/(0.0001 + 0.9999*b165)) + sqr(
       4.66415664133948 - x740/(0.0001 + 0.9999*b165)))*(0.0001 + 0.9999*b165)
        + 0.00345242992082719*b165 =L= 0.00345242992082719;

e351.. (-1 + sqr(0.107239833314705 - x741/(0.0001 + 0.9999*b166)) + sqr(
       9.26202525440128 - x742/(0.0001 + 0.9999*b166)))*(0.0001 + 0.9999*b166)
        + 0.00847966121950165*b166 =L= 0.00847966121950165;

e352.. (-1 + sqr(8.04739319923014 - x743/(0.0001 + 0.9999*b167)) + sqr(
       3.59305161391794 - x744/(0.0001 + 0.9999*b167)))*(0.0001 + 0.9999*b167)
        + 0.00766705572032937*b167 =L= 0.00766705572032937;

e353.. (-1 + sqr(5.28411061001579 - x745/(0.0001 + 0.9999*b168)) + sqr(
       9.36648183133357 - x746/(0.0001 + 0.9999*b168)))*(0.0001 + 0.9999*b168)
        + 0.0114652806835583*b168 =L= 0.0114652806835583;

e354.. (-1 + sqr(1.06171481272944 - x747/(0.0001 + 0.9999*b169)) + sqr(
       3.65844432398946 - x748/(0.0001 + 0.9999*b169)))*(0.0001 + 0.9999*b169)
        + 0.00135114532152998*b169 =L= 0.00135114532152998;

e355.. (-1 + sqr(9.05099582793631 - x749/(0.0001 + 0.9999*b170)) + sqr(
       3.98215513024397 - x750/(0.0001 + 0.9999*b170)))*(0.0001 + 0.9999*b170)
        + 0.00967780849586488*b170 =L= 0.00967780849586488;

e356.. (-1 + sqr(9.08772707393705 - x751/(0.0001 + 0.9999*b171)) + sqr(
       3.01388234113091 - x752/(0.0001 + 0.9999*b171)))*(0.0001 + 0.9999*b171)
        + 0.00906702701365492*b171 =L= 0.00906702701365492;

e357.. (-1 + sqr(8.83910845171846 - x753/(0.0001 + 0.9999*b172)) + sqr(
       8.26686922455514 - x754/(0.0001 + 0.9999*b172)))*(0.0001 + 0.9999*b172)
        + 0.0145470964997138*b172 =L= 0.0145470964997138;

e358.. (-1 + sqr(3.41090111187451 - x755/(0.0001 + 0.9999*b173)) + sqr(
       6.48985541572597 - x756/(0.0001 + 0.9999*b173)))*(0.0001 + 0.9999*b173)
        + 0.00527524697120144*b173 =L= 0.00527524697120144;

e359.. (-1 + sqr(1.22004189182266 - x757/(0.0001 + 0.9999*b174)) + sqr(
       2.52276995748249 - x758/(0.0001 + 0.9999*b174)))*(0.0001 + 0.9999*b174)
        + 0.000685287047617839*b174 =L= 0.000685287047617839;

e360.. (-1 + sqr(3.94802045665365 - x759/(0.0001 + 0.9999*b175)) + sqr(
       6.40339456473198 - x760/(0.0001 + 0.9999*b175)))*(0.0001 + 0.9999*b175)
        + 0.00555903274777947*b175 =L= 0.00555903274777947;

e361.. (-1 + sqr(4.9104301706676 - x761/(0.0001 + 0.9999*b176)) + sqr(
       3.1538945754034 - x762/(0.0001 + 0.9999*b176)))*(0.0001 + 0.9999*b176)
        + 0.00330593754537616*b176 =L= 0.00330593754537616;

e362.. (-1 + sqr(3.23176530143453 - x763/(0.0001 + 0.9999*b177)) + sqr(
       7.03644502956294 - x764/(0.0001 + 0.9999*b177)))*(0.0001 + 0.9999*b177)
        + 0.00589558656176173*b177 =L= 0.00589558656176173;

e363.. (-1 + sqr(0.39249886515424 - x765/(0.0001 + 0.9999*b178)) + sqr(
       1.58871179600639 - x766/(0.0001 + 0.9999*b178)))*(0.0001 + 0.9999*b178)
        + 0.000167806052991721*b178 =L= 0.000167806052991721;

e364.. (-1 + sqr(4.42690021019308 - x767/(0.0001 + 0.9999*b179)) + sqr(
       8.74244441962606 - x768/(0.0001 + 0.9999*b179)))*(0.0001 + 0.9999*b179)
        + 0.00950277799012584*b179 =L= 0.00950277799012584;

e365.. (-1 + sqr(2.59382124128511 - x769/(0.0001 + 0.9999*b180)) + sqr(
       9.98780114819833 - x770/(0.0001 + 0.9999*b180)))*(0.0001 + 0.9999*b180)
        + 0.0105484080407694*b180 =L= 0.0105484080407694;

e366..    b151 + b152 + b153 + b154 + b155 + b156 + b157 + b158 + b159 + b160
        + b161 + b162 + b163 + b164 + b165 + b166 + b167 + b168 + b169 + b170
        + b171 + b172 + b173 + b174 + b175 + b176 + b177 + b178 + b179 + b180
        =E= 1;

e367.. (-1 + sqr(2.84746945184196 - x771/(0.0001 + 0.9999*b181)) + sqr(
       6.74779851669768 - x772/(0.0001 + 0.9999*b181)))*(0.0001 + 0.9999*b181)
        + 0.00526408671011206*b181 =L= 0.00526408671011206;

e368.. (-1 + sqr(6.63261133839597 - x773/(0.0001 + 0.9999*b182)) + sqr(
       7.58930814907984 - x774/(0.0001 + 0.9999*b182)))*(0.0001 + 0.9999*b182)
        + 0.0100589131347908*b182 =L= 0.0100589131347908;

e369.. (-1 + sqr(2.78008351564232 - x775/(0.0001 + 0.9999*b183)) + sqr(
       5.62089512941063 - x776/(0.0001 + 0.9999*b183)))*(0.0001 + 0.9999*b183)
        + 0.00383233264097783*b183 =L= 0.00383233264097783;

e370.. (-1 + sqr(3.36345404799715 - x777/(0.0001 + 0.9999*b184)) + sqr(
       5.61693710344635 - x778/(0.0001 + 0.9999*b184)))*(0.0001 + 0.9999*b184)
        + 0.00418628055570607*b184 =L= 0.00418628055570607;

e371.. (-1 + sqr(1.46574263591158 - x779/(0.0001 + 0.9999*b185)) + sqr(
       0.14249643071642 - x780/(0.0001 + 0.9999*b185)))*(0.0001 + 0.9999*b185)
        + 0.000116870670749595*b185 =L= 0.000116870670749595;

e372.. (-1 + sqr(6.59824950993792 - x781/(0.0001 + 0.9999*b186)) + sqr(
       1.91438252349491 - x782/(0.0001 + 0.9999*b186)))*(0.0001 + 0.9999*b186)
        + 0.00462017570416588*b186 =L= 0.00462017570416588;

e373.. (-1 + sqr(2.02515523263325 - x783/(0.0001 + 0.9999*b187)) + sqr(
       3.62141731303869 - x784/(0.0001 + 0.9999*b187)))*(0.0001 + 0.9999*b187)
        + 0.00162159170714382*b187 =L= 0.00162159170714382;

e374.. (-1 + sqr(8.97152199819966 - x785/(0.0001 + 0.9999*b188)) + sqr(
       8.78133845105015 - x786/(0.0001 + 0.9999*b188)))*(0.0001 + 0.9999*b188)
        + 0.0156600111956072*b188 =L= 0.0156600111956072;

e375.. (-1 + sqr(1.87485423601802 - x787/(0.0001 + 0.9999*b189)) + sqr(
       8.96274662253461 - x788/(0.0001 + 0.9999*b189)))*(0.0001 + 0.9999*b189)
        + 0.00828459054260703*b189 =L= 0.00828459054260703;

e376.. (-1 + sqr(7.52025674966412 - x789/(0.0001 + 0.9999*b190)) + sqr(
       8.80268658264247 - x790/(0.0001 + 0.9999*b190)))*(0.0001 + 0.9999*b190)
        + 0.0133041552653103*b190 =L= 0.0133041552653103;

e377.. (-1 + sqr(3.85704114235832 - x791/(0.0001 + 0.9999*b191)) + sqr(
       6.36674450874035 - x792/(0.0001 + 0.9999*b191)))*(0.0001 + 0.9999*b191)
        + 0.00544122020134202*b191 =L= 0.00544122020134202;

e378.. (-1 + sqr(8.48963678940351 - x793/(0.0001 + 0.9999*b192)) + sqr(
       5.48402210821562 - x794/(0.0001 + 0.9999*b192)))*(0.0001 + 0.9999*b192)
        + 0.0101148431299391*b192 =L= 0.0101148431299391;

e379.. (-1 + sqr(6.03160481727421 - x795/(0.0001 + 0.9999*b193)) + sqr(
       1.276552921829 - x796/(0.0001 + 0.9999*b193)))*(0.0001 + 0.9999*b193) + 
       0.00370098440339957*b193 =L= 0.00370098440339957;

e380.. (-1 + sqr(6.90662266429413 - x797/(0.0001 + 0.9999*b194)) + sqr(
       8.78931785429954 - x798/(0.0001 + 0.9999*b194)))*(0.0001 + 0.9999*b194)
        + 0.012395354497085*b194 =L= 0.012395354497085;

e381.. (-1 + sqr(3.71078725250056 - x799/(0.0001 + 0.9999*b195)) + sqr(
       4.66415664133948 - x800/(0.0001 + 0.9999*b195)))*(0.0001 + 0.9999*b195)
        + 0.00345242992082719*b195 =L= 0.00345242992082719;

e382.. (-1 + sqr(0.107239833314705 - x801/(0.0001 + 0.9999*b196)) + sqr(
       9.26202525440128 - x802/(0.0001 + 0.9999*b196)))*(0.0001 + 0.9999*b196)
        + 0.00847966121950165*b196 =L= 0.00847966121950165;

e383.. (-1 + sqr(8.04739319923014 - x803/(0.0001 + 0.9999*b197)) + sqr(
       3.59305161391794 - x804/(0.0001 + 0.9999*b197)))*(0.0001 + 0.9999*b197)
        + 0.00766705572032937*b197 =L= 0.00766705572032937;

e384.. (-1 + sqr(5.28411061001579 - x805/(0.0001 + 0.9999*b198)) + sqr(
       9.36648183133357 - x806/(0.0001 + 0.9999*b198)))*(0.0001 + 0.9999*b198)
        + 0.0114652806835583*b198 =L= 0.0114652806835583;

e385.. (-1 + sqr(1.06171481272944 - x807/(0.0001 + 0.9999*b199)) + sqr(
       3.65844432398946 - x808/(0.0001 + 0.9999*b199)))*(0.0001 + 0.9999*b199)
        + 0.00135114532152998*b199 =L= 0.00135114532152998;

e386.. (-1 + sqr(9.05099582793631 - x809/(0.0001 + 0.9999*b200)) + sqr(
       3.98215513024397 - x810/(0.0001 + 0.9999*b200)))*(0.0001 + 0.9999*b200)
        + 0.00967780849586488*b200 =L= 0.00967780849586488;

e387.. (-1 + sqr(9.08772707393705 - x811/(0.0001 + 0.9999*b201)) + sqr(
       3.01388234113091 - x812/(0.0001 + 0.9999*b201)))*(0.0001 + 0.9999*b201)
        + 0.00906702701365492*b201 =L= 0.00906702701365492;

e388.. (-1 + sqr(8.83910845171846 - x813/(0.0001 + 0.9999*b202)) + sqr(
       8.26686922455514 - x814/(0.0001 + 0.9999*b202)))*(0.0001 + 0.9999*b202)
        + 0.0145470964997138*b202 =L= 0.0145470964997138;

e389.. (-1 + sqr(3.41090111187451 - x815/(0.0001 + 0.9999*b203)) + sqr(
       6.48985541572597 - x816/(0.0001 + 0.9999*b203)))*(0.0001 + 0.9999*b203)
        + 0.00527524697120144*b203 =L= 0.00527524697120144;

e390.. (-1 + sqr(1.22004189182266 - x817/(0.0001 + 0.9999*b204)) + sqr(
       2.52276995748249 - x818/(0.0001 + 0.9999*b204)))*(0.0001 + 0.9999*b204)
        + 0.000685287047617839*b204 =L= 0.000685287047617839;

e391.. (-1 + sqr(3.94802045665365 - x819/(0.0001 + 0.9999*b205)) + sqr(
       6.40339456473198 - x820/(0.0001 + 0.9999*b205)))*(0.0001 + 0.9999*b205)
        + 0.00555903274777947*b205 =L= 0.00555903274777947;

e392.. (-1 + sqr(4.9104301706676 - x821/(0.0001 + 0.9999*b206)) + sqr(
       3.1538945754034 - x822/(0.0001 + 0.9999*b206)))*(0.0001 + 0.9999*b206)
        + 0.00330593754537616*b206 =L= 0.00330593754537616;

e393.. (-1 + sqr(3.23176530143453 - x823/(0.0001 + 0.9999*b207)) + sqr(
       7.03644502956294 - x824/(0.0001 + 0.9999*b207)))*(0.0001 + 0.9999*b207)
        + 0.00589558656176173*b207 =L= 0.00589558656176173;

e394.. (-1 + sqr(0.39249886515424 - x825/(0.0001 + 0.9999*b208)) + sqr(
       1.58871179600639 - x826/(0.0001 + 0.9999*b208)))*(0.0001 + 0.9999*b208)
        + 0.000167806052991721*b208 =L= 0.000167806052991721;

e395.. (-1 + sqr(4.42690021019308 - x827/(0.0001 + 0.9999*b209)) + sqr(
       8.74244441962606 - x828/(0.0001 + 0.9999*b209)))*(0.0001 + 0.9999*b209)
        + 0.00950277799012584*b209 =L= 0.00950277799012584;

e396.. (-1 + sqr(2.59382124128511 - x829/(0.0001 + 0.9999*b210)) + sqr(
       9.98780114819833 - x830/(0.0001 + 0.9999*b210)))*(0.0001 + 0.9999*b210)
        + 0.0105484080407694*b210 =L= 0.0105484080407694;

e397..    b181 + b182 + b183 + b184 + b185 + b186 + b187 + b188 + b189 + b190
        + b191 + b192 + b193 + b194 + b195 + b196 + b197 + b198 + b199 + b200
        + b201 + b202 + b203 + b204 + b205 + b206 + b207 + b208 + b209 + b210
        =E= 1;

e398.. (-1 + sqr(2.84746945184196 - x831/(0.0001 + 0.9999*b211)) + sqr(
       6.74779851669768 - x832/(0.0001 + 0.9999*b211)))*(0.0001 + 0.9999*b211)
        + 0.00526408671011206*b211 =L= 0.00526408671011206;

e399.. (-1 + sqr(6.63261133839597 - x833/(0.0001 + 0.9999*b212)) + sqr(
       7.58930814907984 - x834/(0.0001 + 0.9999*b212)))*(0.0001 + 0.9999*b212)
        + 0.0100589131347908*b212 =L= 0.0100589131347908;

e400.. (-1 + sqr(2.78008351564232 - x835/(0.0001 + 0.9999*b213)) + sqr(
       5.62089512941063 - x836/(0.0001 + 0.9999*b213)))*(0.0001 + 0.9999*b213)
        + 0.00383233264097783*b213 =L= 0.00383233264097783;

e401.. (-1 + sqr(3.36345404799715 - x837/(0.0001 + 0.9999*b214)) + sqr(
       5.61693710344635 - x838/(0.0001 + 0.9999*b214)))*(0.0001 + 0.9999*b214)
        + 0.00418628055570607*b214 =L= 0.00418628055570607;

e402.. (-1 + sqr(1.46574263591158 - x839/(0.0001 + 0.9999*b215)) + sqr(
       0.14249643071642 - x840/(0.0001 + 0.9999*b215)))*(0.0001 + 0.9999*b215)
        + 0.000116870670749595*b215 =L= 0.000116870670749595;

e403.. (-1 + sqr(6.59824950993792 - x841/(0.0001 + 0.9999*b216)) + sqr(
       1.91438252349491 - x842/(0.0001 + 0.9999*b216)))*(0.0001 + 0.9999*b216)
        + 0.00462017570416588*b216 =L= 0.00462017570416588;

e404.. (-1 + sqr(2.02515523263325 - x843/(0.0001 + 0.9999*b217)) + sqr(
       3.62141731303869 - x844/(0.0001 + 0.9999*b217)))*(0.0001 + 0.9999*b217)
        + 0.00162159170714382*b217 =L= 0.00162159170714382;

e405.. (-1 + sqr(8.97152199819966 - x845/(0.0001 + 0.9999*b218)) + sqr(
       8.78133845105015 - x846/(0.0001 + 0.9999*b218)))*(0.0001 + 0.9999*b218)
        + 0.0156600111956072*b218 =L= 0.0156600111956072;

e406.. (-1 + sqr(1.87485423601802 - x847/(0.0001 + 0.9999*b219)) + sqr(
       8.96274662253461 - x848/(0.0001 + 0.9999*b219)))*(0.0001 + 0.9999*b219)
        + 0.00828459054260703*b219 =L= 0.00828459054260703;

e407.. (-1 + sqr(7.52025674966412 - x849/(0.0001 + 0.9999*b220)) + sqr(
       8.80268658264247 - x850/(0.0001 + 0.9999*b220)))*(0.0001 + 0.9999*b220)
        + 0.0133041552653103*b220 =L= 0.0133041552653103;

e408.. (-1 + sqr(3.85704114235832 - x851/(0.0001 + 0.9999*b221)) + sqr(
       6.36674450874035 - x852/(0.0001 + 0.9999*b221)))*(0.0001 + 0.9999*b221)
        + 0.00544122020134202*b221 =L= 0.00544122020134202;

e409.. (-1 + sqr(8.48963678940351 - x853/(0.0001 + 0.9999*b222)) + sqr(
       5.48402210821562 - x854/(0.0001 + 0.9999*b222)))*(0.0001 + 0.9999*b222)
        + 0.0101148431299391*b222 =L= 0.0101148431299391;

e410.. (-1 + sqr(6.03160481727421 - x855/(0.0001 + 0.9999*b223)) + sqr(
       1.276552921829 - x856/(0.0001 + 0.9999*b223)))*(0.0001 + 0.9999*b223) + 
       0.00370098440339957*b223 =L= 0.00370098440339957;

e411.. (-1 + sqr(6.90662266429413 - x857/(0.0001 + 0.9999*b224)) + sqr(
       8.78931785429954 - x858/(0.0001 + 0.9999*b224)))*(0.0001 + 0.9999*b224)
        + 0.012395354497085*b224 =L= 0.012395354497085;

e412.. (-1 + sqr(3.71078725250056 - x859/(0.0001 + 0.9999*b225)) + sqr(
       4.66415664133948 - x860/(0.0001 + 0.9999*b225)))*(0.0001 + 0.9999*b225)
        + 0.00345242992082719*b225 =L= 0.00345242992082719;

e413.. (-1 + sqr(0.107239833314705 - x861/(0.0001 + 0.9999*b226)) + sqr(
       9.26202525440128 - x862/(0.0001 + 0.9999*b226)))*(0.0001 + 0.9999*b226)
        + 0.00847966121950165*b226 =L= 0.00847966121950165;

e414.. (-1 + sqr(8.04739319923014 - x863/(0.0001 + 0.9999*b227)) + sqr(
       3.59305161391794 - x864/(0.0001 + 0.9999*b227)))*(0.0001 + 0.9999*b227)
        + 0.00766705572032937*b227 =L= 0.00766705572032937;

e415.. (-1 + sqr(5.28411061001579 - x865/(0.0001 + 0.9999*b228)) + sqr(
       9.36648183133357 - x866/(0.0001 + 0.9999*b228)))*(0.0001 + 0.9999*b228)
        + 0.0114652806835583*b228 =L= 0.0114652806835583;

e416.. (-1 + sqr(1.06171481272944 - x867/(0.0001 + 0.9999*b229)) + sqr(
       3.65844432398946 - x868/(0.0001 + 0.9999*b229)))*(0.0001 + 0.9999*b229)
        + 0.00135114532152998*b229 =L= 0.00135114532152998;

e417.. (-1 + sqr(9.05099582793631 - x869/(0.0001 + 0.9999*b230)) + sqr(
       3.98215513024397 - x870/(0.0001 + 0.9999*b230)))*(0.0001 + 0.9999*b230)
        + 0.00967780849586488*b230 =L= 0.00967780849586488;

e418.. (-1 + sqr(9.08772707393705 - x871/(0.0001 + 0.9999*b231)) + sqr(
       3.01388234113091 - x872/(0.0001 + 0.9999*b231)))*(0.0001 + 0.9999*b231)
        + 0.00906702701365492*b231 =L= 0.00906702701365492;

e419.. (-1 + sqr(8.83910845171846 - x873/(0.0001 + 0.9999*b232)) + sqr(
       8.26686922455514 - x874/(0.0001 + 0.9999*b232)))*(0.0001 + 0.9999*b232)
        + 0.0145470964997138*b232 =L= 0.0145470964997138;

e420.. (-1 + sqr(3.41090111187451 - x875/(0.0001 + 0.9999*b233)) + sqr(
       6.48985541572597 - x876/(0.0001 + 0.9999*b233)))*(0.0001 + 0.9999*b233)
        + 0.00527524697120144*b233 =L= 0.00527524697120144;

e421.. (-1 + sqr(1.22004189182266 - x877/(0.0001 + 0.9999*b234)) + sqr(
       2.52276995748249 - x878/(0.0001 + 0.9999*b234)))*(0.0001 + 0.9999*b234)
        + 0.000685287047617839*b234 =L= 0.000685287047617839;

e422.. (-1 + sqr(3.94802045665365 - x879/(0.0001 + 0.9999*b235)) + sqr(
       6.40339456473198 - x880/(0.0001 + 0.9999*b235)))*(0.0001 + 0.9999*b235)
        + 0.00555903274777947*b235 =L= 0.00555903274777947;

e423.. (-1 + sqr(4.9104301706676 - x881/(0.0001 + 0.9999*b236)) + sqr(
       3.1538945754034 - x882/(0.0001 + 0.9999*b236)))*(0.0001 + 0.9999*b236)
        + 0.00330593754537616*b236 =L= 0.00330593754537616;

e424.. (-1 + sqr(3.23176530143453 - x883/(0.0001 + 0.9999*b237)) + sqr(
       7.03644502956294 - x884/(0.0001 + 0.9999*b237)))*(0.0001 + 0.9999*b237)
        + 0.00589558656176173*b237 =L= 0.00589558656176173;

e425.. (-1 + sqr(0.39249886515424 - x885/(0.0001 + 0.9999*b238)) + sqr(
       1.58871179600639 - x886/(0.0001 + 0.9999*b238)))*(0.0001 + 0.9999*b238)
        + 0.000167806052991721*b238 =L= 0.000167806052991721;

e426.. (-1 + sqr(4.42690021019308 - x887/(0.0001 + 0.9999*b239)) + sqr(
       8.74244441962606 - x888/(0.0001 + 0.9999*b239)))*(0.0001 + 0.9999*b239)
        + 0.00950277799012584*b239 =L= 0.00950277799012584;

e427.. (-1 + sqr(2.59382124128511 - x889/(0.0001 + 0.9999*b240)) + sqr(
       9.98780114819833 - x890/(0.0001 + 0.9999*b240)))*(0.0001 + 0.9999*b240)
        + 0.0105484080407694*b240 =L= 0.0105484080407694;

e428..    b211 + b212 + b213 + b214 + b215 + b216 + b217 + b218 + b219 + b220
        + b221 + b222 + b223 + b224 + b225 + b226 + b227 + b228 + b229 + b230
        + b231 + b232 + b233 + b234 + b235 + b236 + b237 + b238 + b239 + b240
        =E= 1;

e429.. (-1 + sqr(2.84746945184196 - x891/(0.0001 + 0.9999*b241)) + sqr(
       6.74779851669768 - x892/(0.0001 + 0.9999*b241)))*(0.0001 + 0.9999*b241)
        + 0.00526408671011206*b241 =L= 0.00526408671011206;

e430.. (-1 + sqr(6.63261133839597 - x893/(0.0001 + 0.9999*b242)) + sqr(
       7.58930814907984 - x894/(0.0001 + 0.9999*b242)))*(0.0001 + 0.9999*b242)
        + 0.0100589131347908*b242 =L= 0.0100589131347908;

e431.. (-1 + sqr(2.78008351564232 - x895/(0.0001 + 0.9999*b243)) + sqr(
       5.62089512941063 - x896/(0.0001 + 0.9999*b243)))*(0.0001 + 0.9999*b243)
        + 0.00383233264097783*b243 =L= 0.00383233264097783;

e432.. (-1 + sqr(3.36345404799715 - x897/(0.0001 + 0.9999*b244)) + sqr(
       5.61693710344635 - x898/(0.0001 + 0.9999*b244)))*(0.0001 + 0.9999*b244)
        + 0.00418628055570607*b244 =L= 0.00418628055570607;

e433.. (-1 + sqr(1.46574263591158 - x899/(0.0001 + 0.9999*b245)) + sqr(
       0.14249643071642 - x900/(0.0001 + 0.9999*b245)))*(0.0001 + 0.9999*b245)
        + 0.000116870670749595*b245 =L= 0.000116870670749595;

e434.. (-1 + sqr(6.59824950993792 - x901/(0.0001 + 0.9999*b246)) + sqr(
       1.91438252349491 - x902/(0.0001 + 0.9999*b246)))*(0.0001 + 0.9999*b246)
        + 0.00462017570416588*b246 =L= 0.00462017570416588;

e435.. (-1 + sqr(2.02515523263325 - x903/(0.0001 + 0.9999*b247)) + sqr(
       3.62141731303869 - x904/(0.0001 + 0.9999*b247)))*(0.0001 + 0.9999*b247)
        + 0.00162159170714382*b247 =L= 0.00162159170714382;

e436.. (-1 + sqr(8.97152199819966 - x905/(0.0001 + 0.9999*b248)) + sqr(
       8.78133845105015 - x906/(0.0001 + 0.9999*b248)))*(0.0001 + 0.9999*b248)
        + 0.0156600111956072*b248 =L= 0.0156600111956072;

e437.. (-1 + sqr(1.87485423601802 - x907/(0.0001 + 0.9999*b249)) + sqr(
       8.96274662253461 - x908/(0.0001 + 0.9999*b249)))*(0.0001 + 0.9999*b249)
        + 0.00828459054260703*b249 =L= 0.00828459054260703;

e438.. (-1 + sqr(7.52025674966412 - x909/(0.0001 + 0.9999*b250)) + sqr(
       8.80268658264247 - x910/(0.0001 + 0.9999*b250)))*(0.0001 + 0.9999*b250)
        + 0.0133041552653103*b250 =L= 0.0133041552653103;

e439.. (-1 + sqr(3.85704114235832 - x911/(0.0001 + 0.9999*b251)) + sqr(
       6.36674450874035 - x912/(0.0001 + 0.9999*b251)))*(0.0001 + 0.9999*b251)
        + 0.00544122020134202*b251 =L= 0.00544122020134202;

e440.. (-1 + sqr(8.48963678940351 - x913/(0.0001 + 0.9999*b252)) + sqr(
       5.48402210821562 - x914/(0.0001 + 0.9999*b252)))*(0.0001 + 0.9999*b252)
        + 0.0101148431299391*b252 =L= 0.0101148431299391;

e441.. (-1 + sqr(6.03160481727421 - x915/(0.0001 + 0.9999*b253)) + sqr(
       1.276552921829 - x916/(0.0001 + 0.9999*b253)))*(0.0001 + 0.9999*b253) + 
       0.00370098440339957*b253 =L= 0.00370098440339957;

e442.. (-1 + sqr(6.90662266429413 - x917/(0.0001 + 0.9999*b254)) + sqr(
       8.78931785429954 - x918/(0.0001 + 0.9999*b254)))*(0.0001 + 0.9999*b254)
        + 0.012395354497085*b254 =L= 0.012395354497085;

e443.. (-1 + sqr(3.71078725250056 - x919/(0.0001 + 0.9999*b255)) + sqr(
       4.66415664133948 - x920/(0.0001 + 0.9999*b255)))*(0.0001 + 0.9999*b255)
        + 0.00345242992082719*b255 =L= 0.00345242992082719;

e444.. (-1 + sqr(0.107239833314705 - x921/(0.0001 + 0.9999*b256)) + sqr(
       9.26202525440128 - x922/(0.0001 + 0.9999*b256)))*(0.0001 + 0.9999*b256)
        + 0.00847966121950165*b256 =L= 0.00847966121950165;

e445.. (-1 + sqr(8.04739319923014 - x923/(0.0001 + 0.9999*b257)) + sqr(
       3.59305161391794 - x924/(0.0001 + 0.9999*b257)))*(0.0001 + 0.9999*b257)
        + 0.00766705572032937*b257 =L= 0.00766705572032937;

e446.. (-1 + sqr(5.28411061001579 - x925/(0.0001 + 0.9999*b258)) + sqr(
       9.36648183133357 - x926/(0.0001 + 0.9999*b258)))*(0.0001 + 0.9999*b258)
        + 0.0114652806835583*b258 =L= 0.0114652806835583;

e447.. (-1 + sqr(1.06171481272944 - x927/(0.0001 + 0.9999*b259)) + sqr(
       3.65844432398946 - x928/(0.0001 + 0.9999*b259)))*(0.0001 + 0.9999*b259)
        + 0.00135114532152998*b259 =L= 0.00135114532152998;

e448.. (-1 + sqr(9.05099582793631 - x929/(0.0001 + 0.9999*b260)) + sqr(
       3.98215513024397 - x930/(0.0001 + 0.9999*b260)))*(0.0001 + 0.9999*b260)
        + 0.00967780849586488*b260 =L= 0.00967780849586488;

e449.. (-1 + sqr(9.08772707393705 - x931/(0.0001 + 0.9999*b261)) + sqr(
       3.01388234113091 - x932/(0.0001 + 0.9999*b261)))*(0.0001 + 0.9999*b261)
        + 0.00906702701365492*b261 =L= 0.00906702701365492;

e450.. (-1 + sqr(8.83910845171846 - x933/(0.0001 + 0.9999*b262)) + sqr(
       8.26686922455514 - x934/(0.0001 + 0.9999*b262)))*(0.0001 + 0.9999*b262)
        + 0.0145470964997138*b262 =L= 0.0145470964997138;

e451.. (-1 + sqr(3.41090111187451 - x935/(0.0001 + 0.9999*b263)) + sqr(
       6.48985541572597 - x936/(0.0001 + 0.9999*b263)))*(0.0001 + 0.9999*b263)
        + 0.00527524697120144*b263 =L= 0.00527524697120144;

e452.. (-1 + sqr(1.22004189182266 - x937/(0.0001 + 0.9999*b264)) + sqr(
       2.52276995748249 - x938/(0.0001 + 0.9999*b264)))*(0.0001 + 0.9999*b264)
        + 0.000685287047617839*b264 =L= 0.000685287047617839;

e453.. (-1 + sqr(3.94802045665365 - x939/(0.0001 + 0.9999*b265)) + sqr(
       6.40339456473198 - x940/(0.0001 + 0.9999*b265)))*(0.0001 + 0.9999*b265)
        + 0.00555903274777947*b265 =L= 0.00555903274777947;

e454.. (-1 + sqr(4.9104301706676 - x941/(0.0001 + 0.9999*b266)) + sqr(
       3.1538945754034 - x942/(0.0001 + 0.9999*b266)))*(0.0001 + 0.9999*b266)
        + 0.00330593754537616*b266 =L= 0.00330593754537616;

e455.. (-1 + sqr(3.23176530143453 - x943/(0.0001 + 0.9999*b267)) + sqr(
       7.03644502956294 - x944/(0.0001 + 0.9999*b267)))*(0.0001 + 0.9999*b267)
        + 0.00589558656176173*b267 =L= 0.00589558656176173;

e456.. (-1 + sqr(0.39249886515424 - x945/(0.0001 + 0.9999*b268)) + sqr(
       1.58871179600639 - x946/(0.0001 + 0.9999*b268)))*(0.0001 + 0.9999*b268)
        + 0.000167806052991721*b268 =L= 0.000167806052991721;

e457.. (-1 + sqr(4.42690021019308 - x947/(0.0001 + 0.9999*b269)) + sqr(
       8.74244441962606 - x948/(0.0001 + 0.9999*b269)))*(0.0001 + 0.9999*b269)
        + 0.00950277799012584*b269 =L= 0.00950277799012584;

e458.. (-1 + sqr(2.59382124128511 - x949/(0.0001 + 0.9999*b270)) + sqr(
       9.98780114819833 - x950/(0.0001 + 0.9999*b270)))*(0.0001 + 0.9999*b270)
        + 0.0105484080407694*b270 =L= 0.0105484080407694;

e459..    b241 + b242 + b243 + b244 + b245 + b246 + b247 + b248 + b249 + b250
        + b251 + b252 + b253 + b254 + b255 + b256 + b257 + b258 + b259 + b260
        + b261 + b262 + b263 + b264 + b265 + b266 + b267 + b268 + b269 + b270
        =E= 1;

e460.. (-1 + sqr(2.84746945184196 - x951/(0.0001 + 0.9999*b271)) + sqr(
       6.74779851669768 - x952/(0.0001 + 0.9999*b271)))*(0.0001 + 0.9999*b271)
        + 0.00526408671011206*b271 =L= 0.00526408671011206;

e461.. (-1 + sqr(6.63261133839597 - x953/(0.0001 + 0.9999*b272)) + sqr(
       7.58930814907984 - x954/(0.0001 + 0.9999*b272)))*(0.0001 + 0.9999*b272)
        + 0.0100589131347908*b272 =L= 0.0100589131347908;

e462.. (-1 + sqr(2.78008351564232 - x955/(0.0001 + 0.9999*b273)) + sqr(
       5.62089512941063 - x956/(0.0001 + 0.9999*b273)))*(0.0001 + 0.9999*b273)
        + 0.00383233264097783*b273 =L= 0.00383233264097783;

e463.. (-1 + sqr(3.36345404799715 - x957/(0.0001 + 0.9999*b274)) + sqr(
       5.61693710344635 - x958/(0.0001 + 0.9999*b274)))*(0.0001 + 0.9999*b274)
        + 0.00418628055570607*b274 =L= 0.00418628055570607;

e464.. (-1 + sqr(1.46574263591158 - x959/(0.0001 + 0.9999*b275)) + sqr(
       0.14249643071642 - x960/(0.0001 + 0.9999*b275)))*(0.0001 + 0.9999*b275)
        + 0.000116870670749595*b275 =L= 0.000116870670749595;

e465.. (-1 + sqr(6.59824950993792 - x961/(0.0001 + 0.9999*b276)) + sqr(
       1.91438252349491 - x962/(0.0001 + 0.9999*b276)))*(0.0001 + 0.9999*b276)
        + 0.00462017570416588*b276 =L= 0.00462017570416588;

e466.. (-1 + sqr(2.02515523263325 - x963/(0.0001 + 0.9999*b277)) + sqr(
       3.62141731303869 - x964/(0.0001 + 0.9999*b277)))*(0.0001 + 0.9999*b277)
        + 0.00162159170714382*b277 =L= 0.00162159170714382;

e467.. (-1 + sqr(8.97152199819966 - x965/(0.0001 + 0.9999*b278)) + sqr(
       8.78133845105015 - x966/(0.0001 + 0.9999*b278)))*(0.0001 + 0.9999*b278)
        + 0.0156600111956072*b278 =L= 0.0156600111956072;

e468.. (-1 + sqr(1.87485423601802 - x967/(0.0001 + 0.9999*b279)) + sqr(
       8.96274662253461 - x968/(0.0001 + 0.9999*b279)))*(0.0001 + 0.9999*b279)
        + 0.00828459054260703*b279 =L= 0.00828459054260703;

e469.. (-1 + sqr(7.52025674966412 - x969/(0.0001 + 0.9999*b280)) + sqr(
       8.80268658264247 - x970/(0.0001 + 0.9999*b280)))*(0.0001 + 0.9999*b280)
        + 0.0133041552653103*b280 =L= 0.0133041552653103;

e470.. (-1 + sqr(3.85704114235832 - x971/(0.0001 + 0.9999*b281)) + sqr(
       6.36674450874035 - x972/(0.0001 + 0.9999*b281)))*(0.0001 + 0.9999*b281)
        + 0.00544122020134202*b281 =L= 0.00544122020134202;

e471.. (-1 + sqr(8.48963678940351 - x973/(0.0001 + 0.9999*b282)) + sqr(
       5.48402210821562 - x974/(0.0001 + 0.9999*b282)))*(0.0001 + 0.9999*b282)
        + 0.0101148431299391*b282 =L= 0.0101148431299391;

e472.. (-1 + sqr(6.03160481727421 - x975/(0.0001 + 0.9999*b283)) + sqr(
       1.276552921829 - x976/(0.0001 + 0.9999*b283)))*(0.0001 + 0.9999*b283) + 
       0.00370098440339957*b283 =L= 0.00370098440339957;

e473.. (-1 + sqr(6.90662266429413 - x977/(0.0001 + 0.9999*b284)) + sqr(
       8.78931785429954 - x978/(0.0001 + 0.9999*b284)))*(0.0001 + 0.9999*b284)
        + 0.012395354497085*b284 =L= 0.012395354497085;

e474.. (-1 + sqr(3.71078725250056 - x979/(0.0001 + 0.9999*b285)) + sqr(
       4.66415664133948 - x980/(0.0001 + 0.9999*b285)))*(0.0001 + 0.9999*b285)
        + 0.00345242992082719*b285 =L= 0.00345242992082719;

e475.. (-1 + sqr(0.107239833314705 - x981/(0.0001 + 0.9999*b286)) + sqr(
       9.26202525440128 - x982/(0.0001 + 0.9999*b286)))*(0.0001 + 0.9999*b286)
        + 0.00847966121950165*b286 =L= 0.00847966121950165;

e476.. (-1 + sqr(8.04739319923014 - x983/(0.0001 + 0.9999*b287)) + sqr(
       3.59305161391794 - x984/(0.0001 + 0.9999*b287)))*(0.0001 + 0.9999*b287)
        + 0.00766705572032937*b287 =L= 0.00766705572032937;

e477.. (-1 + sqr(5.28411061001579 - x985/(0.0001 + 0.9999*b288)) + sqr(
       9.36648183133357 - x986/(0.0001 + 0.9999*b288)))*(0.0001 + 0.9999*b288)
        + 0.0114652806835583*b288 =L= 0.0114652806835583;

e478.. (-1 + sqr(1.06171481272944 - x987/(0.0001 + 0.9999*b289)) + sqr(
       3.65844432398946 - x988/(0.0001 + 0.9999*b289)))*(0.0001 + 0.9999*b289)
        + 0.00135114532152998*b289 =L= 0.00135114532152998;

e479.. (-1 + sqr(9.05099582793631 - x989/(0.0001 + 0.9999*b290)) + sqr(
       3.98215513024397 - x990/(0.0001 + 0.9999*b290)))*(0.0001 + 0.9999*b290)
        + 0.00967780849586488*b290 =L= 0.00967780849586488;

e480.. (-1 + sqr(9.08772707393705 - x991/(0.0001 + 0.9999*b291)) + sqr(
       3.01388234113091 - x992/(0.0001 + 0.9999*b291)))*(0.0001 + 0.9999*b291)
        + 0.00906702701365492*b291 =L= 0.00906702701365492;

e481.. (-1 + sqr(8.83910845171846 - x993/(0.0001 + 0.9999*b292)) + sqr(
       8.26686922455514 - x994/(0.0001 + 0.9999*b292)))*(0.0001 + 0.9999*b292)
        + 0.0145470964997138*b292 =L= 0.0145470964997138;

e482.. (-1 + sqr(3.41090111187451 - x995/(0.0001 + 0.9999*b293)) + sqr(
       6.48985541572597 - x996/(0.0001 + 0.9999*b293)))*(0.0001 + 0.9999*b293)
        + 0.00527524697120144*b293 =L= 0.00527524697120144;

e483.. (-1 + sqr(1.22004189182266 - x997/(0.0001 + 0.9999*b294)) + sqr(
       2.52276995748249 - x998/(0.0001 + 0.9999*b294)))*(0.0001 + 0.9999*b294)
        + 0.000685287047617839*b294 =L= 0.000685287047617839;

e484.. (-1 + sqr(3.94802045665365 - x999/(0.0001 + 0.9999*b295)) + sqr(
       6.40339456473198 - x1000/(0.0001 + 0.9999*b295)))*(0.0001 + 0.9999*b295)
        + 0.00555903274777947*b295 =L= 0.00555903274777947;

e485.. (-1 + sqr(4.9104301706676 - x1001/(0.0001 + 0.9999*b296)) + sqr(
       3.1538945754034 - x1002/(0.0001 + 0.9999*b296)))*(0.0001 + 0.9999*b296)
        + 0.00330593754537616*b296 =L= 0.00330593754537616;

e486.. (-1 + sqr(3.23176530143453 - x1003/(0.0001 + 0.9999*b297)) + sqr(
       7.03644502956294 - x1004/(0.0001 + 0.9999*b297)))*(0.0001 + 0.9999*b297)
        + 0.00589558656176173*b297 =L= 0.00589558656176173;

e487.. (-1 + sqr(0.39249886515424 - x1005/(0.0001 + 0.9999*b298)) + sqr(
       1.58871179600639 - x1006/(0.0001 + 0.9999*b298)))*(0.0001 + 0.9999*b298)
        + 0.000167806052991721*b298 =L= 0.000167806052991721;

e488.. (-1 + sqr(4.42690021019308 - x1007/(0.0001 + 0.9999*b299)) + sqr(
       8.74244441962606 - x1008/(0.0001 + 0.9999*b299)))*(0.0001 + 0.9999*b299)
        + 0.00950277799012584*b299 =L= 0.00950277799012584;

e489.. (-1 + sqr(2.59382124128511 - x1009/(0.0001 + 0.9999*b300)) + sqr(
       9.98780114819833 - x1010/(0.0001 + 0.9999*b300)))*(0.0001 + 0.9999*b300)
        + 0.0105484080407694*b300 =L= 0.0105484080407694;

e490..    b271 + b272 + b273 + b274 + b275 + b276 + b277 + b278 + b279 + b280
        + b281 + b282 + b283 + b284 + b285 + b286 + b287 + b288 + b289 + b290
        + b291 + b292 + b293 + b294 + b295 + b296 + b297 + b298 + b299 + b300
        =E= 1;

e491..    b1 + b31 + b61 + b91 + b121 + b151 + b181 + b211 + b241 + b271 =L= 1;

e492..    b2 + b32 + b62 + b92 + b122 + b152 + b182 + b212 + b242 + b272 =L= 1;

e493..    b3 + b33 + b63 + b93 + b123 + b153 + b183 + b213 + b243 + b273 =L= 1;

e494..    b4 + b34 + b64 + b94 + b124 + b154 + b184 + b214 + b244 + b274 =L= 1;

e495..    b5 + b35 + b65 + b95 + b125 + b155 + b185 + b215 + b245 + b275 =L= 1;

e496..    b6 + b36 + b66 + b96 + b126 + b156 + b186 + b216 + b246 + b276 =L= 1;

e497..    b7 + b37 + b67 + b97 + b127 + b157 + b187 + b217 + b247 + b277 =L= 1;

e498..    b8 + b38 + b68 + b98 + b128 + b158 + b188 + b218 + b248 + b278 =L= 1;

e499..    b9 + b39 + b69 + b99 + b129 + b159 + b189 + b219 + b249 + b279 =L= 1;

e500..    b10 + b40 + b70 + b100 + b130 + b160 + b190 + b220 + b250 + b280
        =L= 1;

e501..    b11 + b41 + b71 + b101 + b131 + b161 + b191 + b221 + b251 + b281
        =L= 1;

e502..    b12 + b42 + b72 + b102 + b132 + b162 + b192 + b222 + b252 + b282
        =L= 1;

e503..    b13 + b43 + b73 + b103 + b133 + b163 + b193 + b223 + b253 + b283
        =L= 1;

e504..    b14 + b44 + b74 + b104 + b134 + b164 + b194 + b224 + b254 + b284
        =L= 1;

e505..    b15 + b45 + b75 + b105 + b135 + b165 + b195 + b225 + b255 + b285
        =L= 1;

e506..    b16 + b46 + b76 + b106 + b136 + b166 + b196 + b226 + b256 + b286
        =L= 1;

e507..    b17 + b47 + b77 + b107 + b137 + b167 + b197 + b227 + b257 + b287
        =L= 1;

e508..    b18 + b48 + b78 + b108 + b138 + b168 + b198 + b228 + b258 + b288
        =L= 1;

e509..    b19 + b49 + b79 + b109 + b139 + b169 + b199 + b229 + b259 + b289
        =L= 1;

e510..    b20 + b50 + b80 + b110 + b140 + b170 + b200 + b230 + b260 + b290
        =L= 1;

e511..    b21 + b51 + b81 + b111 + b141 + b171 + b201 + b231 + b261 + b291
        =L= 1;

e512..    b22 + b52 + b82 + b112 + b142 + b172 + b202 + b232 + b262 + b292
        =L= 1;

e513..    b23 + b53 + b83 + b113 + b143 + b173 + b203 + b233 + b263 + b293
        =L= 1;

e514..    b24 + b54 + b84 + b114 + b144 + b174 + b204 + b234 + b264 + b294
        =L= 1;

e515..    b25 + b55 + b85 + b115 + b145 + b175 + b205 + b235 + b265 + b295
        =L= 1;

e516..    b26 + b56 + b86 + b116 + b146 + b176 + b206 + b236 + b266 + b296
        =L= 1;

e517..    b27 + b57 + b87 + b117 + b147 + b177 + b207 + b237 + b267 + b297
        =L= 1;

e518..    b28 + b58 + b88 + b118 + b148 + b178 + b208 + b238 + b268 + b298
        =L= 1;

e519..    b29 + b59 + b89 + b119 + b149 + b179 + b209 + b239 + b269 + b299
        =L= 1;

e520..    b30 + b60 + b90 + b120 + b150 + b180 + b210 + b240 + b270 + b300
        =L= 1;

e521..  - x301 + x411 + x413 + x415 + x417 + x419 + x421 + x423 + x425 + x427
        + x429 + x431 + x433 + x435 + x437 + x439 + x441 + x443 + x445 + x447
        + x449 + x451 + x453 + x455 + x457 + x459 + x461 + x463 + x465 + x467
        + x469 =E= 0;

e522..  - x304 + x412 + x414 + x416 + x418 + x420 + x422 + x424 + x426 + x428
        + x430 + x432 + x434 + x436 + x438 + x440 + x442 + x444 + x446 + x448
        + x450 + x452 + x454 + x456 + x458 + x460 + x462 + x464 + x466 + x468
        + x470 =E= 0;

e523..  - x302 + x471 + x473 + x475 + x477 + x479 + x481 + x483 + x485 + x487
        + x489 + x491 + x493 + x495 + x497 + x499 + x501 + x503 + x505 + x507
        + x509 + x511 + x513 + x515 + x517 + x519 + x521 + x523 + x525 + x527
        + x529 =E= 0;

e524..  - x305 + x472 + x474 + x476 + x478 + x480 + x482 + x484 + x486 + x488
        + x490 + x492 + x494 + x496 + x498 + x500 + x502 + x504 + x506 + x508
        + x510 + x512 + x514 + x516 + x518 + x520 + x522 + x524 + x526 + x528
        + x530 =E= 0;

e525..  - x307 + x531 + x533 + x535 + x537 + x539 + x541 + x543 + x545 + x547
        + x549 + x551 + x553 + x555 + x557 + x559 + x561 + x563 + x565 + x567
        + x569 + x571 + x573 + x575 + x577 + x579 + x581 + x583 + x585 + x587
        + x589 =E= 0;

e526..  - x309 + x532 + x534 + x536 + x538 + x540 + x542 + x544 + x546 + x548
        + x550 + x552 + x554 + x556 + x558 + x560 + x562 + x564 + x566 + x568
        + x570 + x572 + x574 + x576 + x578 + x580 + x582 + x584 + x586 + x588
        + x590 =E= 0;

e527..  - x311 + x591 + x593 + x595 + x597 + x599 + x601 + x603 + x605 + x607
        + x609 + x611 + x613 + x615 + x617 + x619 + x621 + x623 + x625 + x627
        + x629 + x631 + x633 + x635 + x637 + x639 + x641 + x643 + x645 + x647
        + x649 =E= 0;

e528..  - x313 + x592 + x594 + x596 + x598 + x600 + x602 + x604 + x606 + x608
        + x610 + x612 + x614 + x616 + x618 + x620 + x622 + x624 + x626 + x628
        + x630 + x632 + x634 + x636 + x638 + x640 + x642 + x644 + x646 + x648
        + x650 =E= 0;

e529..  - x315 + x651 + x653 + x655 + x657 + x659 + x661 + x663 + x665 + x667
        + x669 + x671 + x673 + x675 + x677 + x679 + x681 + x683 + x685 + x687
        + x689 + x691 + x693 + x695 + x697 + x699 + x701 + x703 + x705 + x707
        + x709 =E= 0;

e530..  - x317 + x652 + x654 + x656 + x658 + x660 + x662 + x664 + x666 + x668
        + x670 + x672 + x674 + x676 + x678 + x680 + x682 + x684 + x686 + x688
        + x690 + x692 + x694 + x696 + x698 + x700 + x702 + x704 + x706 + x708
        + x710 =E= 0;

e531..  - x319 + x711 + x713 + x715 + x717 + x719 + x721 + x723 + x725 + x727
        + x729 + x731 + x733 + x735 + x737 + x739 + x741 + x743 + x745 + x747
        + x749 + x751 + x753 + x755 + x757 + x759 + x761 + x763 + x765 + x767
        + x769 =E= 0;

e532..  - x321 + x712 + x714 + x716 + x718 + x720 + x722 + x724 + x726 + x728
        + x730 + x732 + x734 + x736 + x738 + x740 + x742 + x744 + x746 + x748
        + x750 + x752 + x754 + x756 + x758 + x760 + x762 + x764 + x766 + x768
        + x770 =E= 0;

e533..  - x323 + x771 + x773 + x775 + x777 + x779 + x781 + x783 + x785 + x787
        + x789 + x791 + x793 + x795 + x797 + x799 + x801 + x803 + x805 + x807
        + x809 + x811 + x813 + x815 + x817 + x819 + x821 + x823 + x825 + x827
        + x829 =E= 0;

e534..  - x325 + x772 + x774 + x776 + x778 + x780 + x782 + x784 + x786 + x788
        + x790 + x792 + x794 + x796 + x798 + x800 + x802 + x804 + x806 + x808
        + x810 + x812 + x814 + x816 + x818 + x820 + x822 + x824 + x826 + x828
        + x830 =E= 0;

e535..  - x327 + x831 + x833 + x835 + x837 + x839 + x841 + x843 + x845 + x847
        + x849 + x851 + x853 + x855 + x857 + x859 + x861 + x863 + x865 + x867
        + x869 + x871 + x873 + x875 + x877 + x879 + x881 + x883 + x885 + x887
        + x889 =E= 0;

e536..  - x329 + x832 + x834 + x836 + x838 + x840 + x842 + x844 + x846 + x848
        + x850 + x852 + x854 + x856 + x858 + x860 + x862 + x864 + x866 + x868
        + x870 + x872 + x874 + x876 + x878 + x880 + x882 + x884 + x886 + x888
        + x890 =E= 0;

e537..  - x331 + x891 + x893 + x895 + x897 + x899 + x901 + x903 + x905 + x907
        + x909 + x911 + x913 + x915 + x917 + x919 + x921 + x923 + x925 + x927
        + x929 + x931 + x933 + x935 + x937 + x939 + x941 + x943 + x945 + x947
        + x949 =E= 0;

e538..  - x333 + x892 + x894 + x896 + x898 + x900 + x902 + x904 + x906 + x908
        + x910 + x912 + x914 + x916 + x918 + x920 + x922 + x924 + x926 + x928
        + x930 + x932 + x934 + x936 + x938 + x940 + x942 + x944 + x946 + x948
        + x950 =E= 0;

e539..  - x335 + x951 + x953 + x955 + x957 + x959 + x961 + x963 + x965 + x967
        + x969 + x971 + x973 + x975 + x977 + x979 + x981 + x983 + x985 + x987
        + x989 + x991 + x993 + x995 + x997 + x999 + x1001 + x1003 + x1005
        + x1007 + x1009 =E= 0;

e540..  - x337 + x952 + x954 + x956 + x958 + x960 + x962 + x964 + x966 + x968
        + x970 + x972 + x974 + x976 + x978 + x980 + x982 + x984 + x986 + x988
        + x990 + x992 + x994 + x996 + x998 + x1000 + x1002 + x1004 + x1006
        + x1008 + x1010 =E= 0;

e541..  - 10*b1 + x411 =L= 0;

e542..  - 10*b2 + x413 =L= 0;

e543..  - 10*b3 + x415 =L= 0;

e544..  - 10*b4 + x417 =L= 0;

e545..  - 10*b5 + x419 =L= 0;

e546..  - 10*b6 + x421 =L= 0;

e547..  - 10*b7 + x423 =L= 0;

e548..  - 10*b8 + x425 =L= 0;

e549..  - 10*b9 + x427 =L= 0;

e550..  - 10*b10 + x429 =L= 0;

e551..  - 10*b11 + x431 =L= 0;

e552..  - 10*b12 + x433 =L= 0;

e553..  - 10*b13 + x435 =L= 0;

e554..  - 10*b14 + x437 =L= 0;

e555..  - 10*b15 + x439 =L= 0;

e556..  - 10*b16 + x441 =L= 0;

e557..  - 10*b17 + x443 =L= 0;

e558..  - 10*b18 + x445 =L= 0;

e559..  - 10*b19 + x447 =L= 0;

e560..  - 10*b20 + x449 =L= 0;

e561..  - 10*b21 + x451 =L= 0;

e562..  - 10*b22 + x453 =L= 0;

e563..  - 10*b23 + x455 =L= 0;

e564..  - 10*b24 + x457 =L= 0;

e565..  - 10*b25 + x459 =L= 0;

e566..  - 10*b26 + x461 =L= 0;

e567..  - 10*b27 + x463 =L= 0;

e568..  - 10*b28 + x465 =L= 0;

e569..  - 10*b29 + x467 =L= 0;

e570..  - 10*b30 + x469 =L= 0;

e571..  - 10*b1 + x412 =L= 0;

e572..  - 10*b2 + x414 =L= 0;

e573..  - 10*b3 + x416 =L= 0;

e574..  - 10*b4 + x418 =L= 0;

e575..  - 10*b5 + x420 =L= 0;

e576..  - 10*b6 + x422 =L= 0;

e577..  - 10*b7 + x424 =L= 0;

e578..  - 10*b8 + x426 =L= 0;

e579..  - 10*b9 + x428 =L= 0;

e580..  - 10*b10 + x430 =L= 0;

e581..  - 10*b11 + x432 =L= 0;

e582..  - 10*b12 + x434 =L= 0;

e583..  - 10*b13 + x436 =L= 0;

e584..  - 10*b14 + x438 =L= 0;

e585..  - 10*b15 + x440 =L= 0;

e586..  - 10*b16 + x442 =L= 0;

e587..  - 10*b17 + x444 =L= 0;

e588..  - 10*b18 + x446 =L= 0;

e589..  - 10*b19 + x448 =L= 0;

e590..  - 10*b20 + x450 =L= 0;

e591..  - 10*b21 + x452 =L= 0;

e592..  - 10*b22 + x454 =L= 0;

e593..  - 10*b23 + x456 =L= 0;

e594..  - 10*b24 + x458 =L= 0;

e595..  - 10*b25 + x460 =L= 0;

e596..  - 10*b26 + x462 =L= 0;

e597..  - 10*b27 + x464 =L= 0;

e598..  - 10*b28 + x466 =L= 0;

e599..  - 10*b29 + x468 =L= 0;

e600..  - 10*b30 + x470 =L= 0;

e601..  - 10*b31 + x471 =L= 0;

e602..  - 10*b32 + x473 =L= 0;

e603..  - 10*b33 + x475 =L= 0;

e604..  - 10*b34 + x477 =L= 0;

e605..  - 10*b35 + x479 =L= 0;

e606..  - 10*b36 + x481 =L= 0;

e607..  - 10*b37 + x483 =L= 0;

e608..  - 10*b38 + x485 =L= 0;

e609..  - 10*b39 + x487 =L= 0;

e610..  - 10*b40 + x489 =L= 0;

e611..  - 10*b41 + x491 =L= 0;

e612..  - 10*b42 + x493 =L= 0;

e613..  - 10*b43 + x495 =L= 0;

e614..  - 10*b44 + x497 =L= 0;

e615..  - 10*b45 + x499 =L= 0;

e616..  - 10*b46 + x501 =L= 0;

e617..  - 10*b47 + x503 =L= 0;

e618..  - 10*b48 + x505 =L= 0;

e619..  - 10*b49 + x507 =L= 0;

e620..  - 10*b50 + x509 =L= 0;

e621..  - 10*b51 + x511 =L= 0;

e622..  - 10*b52 + x513 =L= 0;

e623..  - 10*b53 + x515 =L= 0;

e624..  - 10*b54 + x517 =L= 0;

e625..  - 10*b55 + x519 =L= 0;

e626..  - 10*b56 + x521 =L= 0;

e627..  - 10*b57 + x523 =L= 0;

e628..  - 10*b58 + x525 =L= 0;

e629..  - 10*b59 + x527 =L= 0;

e630..  - 10*b60 + x529 =L= 0;

e631..  - 10*b31 + x472 =L= 0;

e632..  - 10*b32 + x474 =L= 0;

e633..  - 10*b33 + x476 =L= 0;

e634..  - 10*b34 + x478 =L= 0;

e635..  - 10*b35 + x480 =L= 0;

e636..  - 10*b36 + x482 =L= 0;

e637..  - 10*b37 + x484 =L= 0;

e638..  - 10*b38 + x486 =L= 0;

e639..  - 10*b39 + x488 =L= 0;

e640..  - 10*b40 + x490 =L= 0;

e641..  - 10*b41 + x492 =L= 0;

e642..  - 10*b42 + x494 =L= 0;

e643..  - 10*b43 + x496 =L= 0;

e644..  - 10*b44 + x498 =L= 0;

e645..  - 10*b45 + x500 =L= 0;

e646..  - 10*b46 + x502 =L= 0;

e647..  - 10*b47 + x504 =L= 0;

e648..  - 10*b48 + x506 =L= 0;

e649..  - 10*b49 + x508 =L= 0;

e650..  - 10*b50 + x510 =L= 0;

e651..  - 10*b51 + x512 =L= 0;

e652..  - 10*b52 + x514 =L= 0;

e653..  - 10*b53 + x516 =L= 0;

e654..  - 10*b54 + x518 =L= 0;

e655..  - 10*b55 + x520 =L= 0;

e656..  - 10*b56 + x522 =L= 0;

e657..  - 10*b57 + x524 =L= 0;

e658..  - 10*b58 + x526 =L= 0;

e659..  - 10*b59 + x528 =L= 0;

e660..  - 10*b60 + x530 =L= 0;

e661..  - 10*b61 + x531 =L= 0;

e662..  - 10*b62 + x533 =L= 0;

e663..  - 10*b63 + x535 =L= 0;

e664..  - 10*b64 + x537 =L= 0;

e665..  - 10*b65 + x539 =L= 0;

e666..  - 10*b66 + x541 =L= 0;

e667..  - 10*b67 + x543 =L= 0;

e668..  - 10*b68 + x545 =L= 0;

e669..  - 10*b69 + x547 =L= 0;

e670..  - 10*b70 + x549 =L= 0;

e671..  - 10*b71 + x551 =L= 0;

e672..  - 10*b72 + x553 =L= 0;

e673..  - 10*b73 + x555 =L= 0;

e674..  - 10*b74 + x557 =L= 0;

e675..  - 10*b75 + x559 =L= 0;

e676..  - 10*b76 + x561 =L= 0;

e677..  - 10*b77 + x563 =L= 0;

e678..  - 10*b78 + x565 =L= 0;

e679..  - 10*b79 + x567 =L= 0;

e680..  - 10*b80 + x569 =L= 0;

e681..  - 10*b81 + x571 =L= 0;

e682..  - 10*b82 + x573 =L= 0;

e683..  - 10*b83 + x575 =L= 0;

e684..  - 10*b84 + x577 =L= 0;

e685..  - 10*b85 + x579 =L= 0;

e686..  - 10*b86 + x581 =L= 0;

e687..  - 10*b87 + x583 =L= 0;

e688..  - 10*b88 + x585 =L= 0;

e689..  - 10*b89 + x587 =L= 0;

e690..  - 10*b90 + x589 =L= 0;

e691..  - 10*b61 + x532 =L= 0;

e692..  - 10*b62 + x534 =L= 0;

e693..  - 10*b63 + x536 =L= 0;

e694..  - 10*b64 + x538 =L= 0;

e695..  - 10*b65 + x540 =L= 0;

e696..  - 10*b66 + x542 =L= 0;

e697..  - 10*b67 + x544 =L= 0;

e698..  - 10*b68 + x546 =L= 0;

e699..  - 10*b69 + x548 =L= 0;

e700..  - 10*b70 + x550 =L= 0;

e701..  - 10*b71 + x552 =L= 0;

e702..  - 10*b72 + x554 =L= 0;

e703..  - 10*b73 + x556 =L= 0;

e704..  - 10*b74 + x558 =L= 0;

e705..  - 10*b75 + x560 =L= 0;

e706..  - 10*b76 + x562 =L= 0;

e707..  - 10*b77 + x564 =L= 0;

e708..  - 10*b78 + x566 =L= 0;

e709..  - 10*b79 + x568 =L= 0;

e710..  - 10*b80 + x570 =L= 0;

e711..  - 10*b81 + x572 =L= 0;

e712..  - 10*b82 + x574 =L= 0;

e713..  - 10*b83 + x576 =L= 0;

e714..  - 10*b84 + x578 =L= 0;

e715..  - 10*b85 + x580 =L= 0;

e716..  - 10*b86 + x582 =L= 0;

e717..  - 10*b87 + x584 =L= 0;

e718..  - 10*b88 + x586 =L= 0;

e719..  - 10*b89 + x588 =L= 0;

e720..  - 10*b90 + x590 =L= 0;

e721..  - 10*b91 + x591 =L= 0;

e722..  - 10*b92 + x593 =L= 0;

e723..  - 10*b93 + x595 =L= 0;

e724..  - 10*b94 + x597 =L= 0;

e725..  - 10*b95 + x599 =L= 0;

e726..  - 10*b96 + x601 =L= 0;

e727..  - 10*b97 + x603 =L= 0;

e728..  - 10*b98 + x605 =L= 0;

e729..  - 10*b99 + x607 =L= 0;

e730..  - 10*b100 + x609 =L= 0;

e731..  - 10*b101 + x611 =L= 0;

e732..  - 10*b102 + x613 =L= 0;

e733..  - 10*b103 + x615 =L= 0;

e734..  - 10*b104 + x617 =L= 0;

e735..  - 10*b105 + x619 =L= 0;

e736..  - 10*b106 + x621 =L= 0;

e737..  - 10*b107 + x623 =L= 0;

e738..  - 10*b108 + x625 =L= 0;

e739..  - 10*b109 + x627 =L= 0;

e740..  - 10*b110 + x629 =L= 0;

e741..  - 10*b111 + x631 =L= 0;

e742..  - 10*b112 + x633 =L= 0;

e743..  - 10*b113 + x635 =L= 0;

e744..  - 10*b114 + x637 =L= 0;

e745..  - 10*b115 + x639 =L= 0;

e746..  - 10*b116 + x641 =L= 0;

e747..  - 10*b117 + x643 =L= 0;

e748..  - 10*b118 + x645 =L= 0;

e749..  - 10*b119 + x647 =L= 0;

e750..  - 10*b120 + x649 =L= 0;

e751..  - 10*b91 + x592 =L= 0;

e752..  - 10*b92 + x594 =L= 0;

e753..  - 10*b93 + x596 =L= 0;

e754..  - 10*b94 + x598 =L= 0;

e755..  - 10*b95 + x600 =L= 0;

e756..  - 10*b96 + x602 =L= 0;

e757..  - 10*b97 + x604 =L= 0;

e758..  - 10*b98 + x606 =L= 0;

e759..  - 10*b99 + x608 =L= 0;

e760..  - 10*b100 + x610 =L= 0;

e761..  - 10*b101 + x612 =L= 0;

e762..  - 10*b102 + x614 =L= 0;

e763..  - 10*b103 + x616 =L= 0;

e764..  - 10*b104 + x618 =L= 0;

e765..  - 10*b105 + x620 =L= 0;

e766..  - 10*b106 + x622 =L= 0;

e767..  - 10*b107 + x624 =L= 0;

e768..  - 10*b108 + x626 =L= 0;

e769..  - 10*b109 + x628 =L= 0;

e770..  - 10*b110 + x630 =L= 0;

e771..  - 10*b111 + x632 =L= 0;

e772..  - 10*b112 + x634 =L= 0;

e773..  - 10*b113 + x636 =L= 0;

e774..  - 10*b114 + x638 =L= 0;

e775..  - 10*b115 + x640 =L= 0;

e776..  - 10*b116 + x642 =L= 0;

e777..  - 10*b117 + x644 =L= 0;

e778..  - 10*b118 + x646 =L= 0;

e779..  - 10*b119 + x648 =L= 0;

e780..  - 10*b120 + x650 =L= 0;

e781..  - 10*b121 + x651 =L= 0;

e782..  - 10*b122 + x653 =L= 0;

e783..  - 10*b123 + x655 =L= 0;

e784..  - 10*b124 + x657 =L= 0;

e785..  - 10*b125 + x659 =L= 0;

e786..  - 10*b126 + x661 =L= 0;

e787..  - 10*b127 + x663 =L= 0;

e788..  - 10*b128 + x665 =L= 0;

e789..  - 10*b129 + x667 =L= 0;

e790..  - 10*b130 + x669 =L= 0;

e791..  - 10*b131 + x671 =L= 0;

e792..  - 10*b132 + x673 =L= 0;

e793..  - 10*b133 + x675 =L= 0;

e794..  - 10*b134 + x677 =L= 0;

e795..  - 10*b135 + x679 =L= 0;

e796..  - 10*b136 + x681 =L= 0;

e797..  - 10*b137 + x683 =L= 0;

e798..  - 10*b138 + x685 =L= 0;

e799..  - 10*b139 + x687 =L= 0;

e800..  - 10*b140 + x689 =L= 0;

e801..  - 10*b141 + x691 =L= 0;

e802..  - 10*b142 + x693 =L= 0;

e803..  - 10*b143 + x695 =L= 0;

e804..  - 10*b144 + x697 =L= 0;

e805..  - 10*b145 + x699 =L= 0;

e806..  - 10*b146 + x701 =L= 0;

e807..  - 10*b147 + x703 =L= 0;

e808..  - 10*b148 + x705 =L= 0;

e809..  - 10*b149 + x707 =L= 0;

e810..  - 10*b150 + x709 =L= 0;

e811..  - 10*b121 + x652 =L= 0;

e812..  - 10*b122 + x654 =L= 0;

e813..  - 10*b123 + x656 =L= 0;

e814..  - 10*b124 + x658 =L= 0;

e815..  - 10*b125 + x660 =L= 0;

e816..  - 10*b126 + x662 =L= 0;

e817..  - 10*b127 + x664 =L= 0;

e818..  - 10*b128 + x666 =L= 0;

e819..  - 10*b129 + x668 =L= 0;

e820..  - 10*b130 + x670 =L= 0;

e821..  - 10*b131 + x672 =L= 0;

e822..  - 10*b132 + x674 =L= 0;

e823..  - 10*b133 + x676 =L= 0;

e824..  - 10*b134 + x678 =L= 0;

e825..  - 10*b135 + x680 =L= 0;

e826..  - 10*b136 + x682 =L= 0;

e827..  - 10*b137 + x684 =L= 0;

e828..  - 10*b138 + x686 =L= 0;

e829..  - 10*b139 + x688 =L= 0;

e830..  - 10*b140 + x690 =L= 0;

e831..  - 10*b141 + x692 =L= 0;

e832..  - 10*b142 + x694 =L= 0;

e833..  - 10*b143 + x696 =L= 0;

e834..  - 10*b144 + x698 =L= 0;

e835..  - 10*b145 + x700 =L= 0;

e836..  - 10*b146 + x702 =L= 0;

e837..  - 10*b147 + x704 =L= 0;

e838..  - 10*b148 + x706 =L= 0;

e839..  - 10*b149 + x708 =L= 0;

e840..  - 10*b150 + x710 =L= 0;

e841..  - 10*b151 + x711 =L= 0;

e842..  - 10*b152 + x713 =L= 0;

e843..  - 10*b153 + x715 =L= 0;

e844..  - 10*b154 + x717 =L= 0;

e845..  - 10*b155 + x719 =L= 0;

e846..  - 10*b156 + x721 =L= 0;

e847..  - 10*b157 + x723 =L= 0;

e848..  - 10*b158 + x725 =L= 0;

e849..  - 10*b159 + x727 =L= 0;

e850..  - 10*b160 + x729 =L= 0;

e851..  - 10*b161 + x731 =L= 0;

e852..  - 10*b162 + x733 =L= 0;

e853..  - 10*b163 + x735 =L= 0;

e854..  - 10*b164 + x737 =L= 0;

e855..  - 10*b165 + x739 =L= 0;

e856..  - 10*b166 + x741 =L= 0;

e857..  - 10*b167 + x743 =L= 0;

e858..  - 10*b168 + x745 =L= 0;

e859..  - 10*b169 + x747 =L= 0;

e860..  - 10*b170 + x749 =L= 0;

e861..  - 10*b171 + x751 =L= 0;

e862..  - 10*b172 + x753 =L= 0;

e863..  - 10*b173 + x755 =L= 0;

e864..  - 10*b174 + x757 =L= 0;

e865..  - 10*b175 + x759 =L= 0;

e866..  - 10*b176 + x761 =L= 0;

e867..  - 10*b177 + x763 =L= 0;

e868..  - 10*b178 + x765 =L= 0;

e869..  - 10*b179 + x767 =L= 0;

e870..  - 10*b180 + x769 =L= 0;

e871..  - 10*b151 + x712 =L= 0;

e872..  - 10*b152 + x714 =L= 0;

e873..  - 10*b153 + x716 =L= 0;

e874..  - 10*b154 + x718 =L= 0;

e875..  - 10*b155 + x720 =L= 0;

e876..  - 10*b156 + x722 =L= 0;

e877..  - 10*b157 + x724 =L= 0;

e878..  - 10*b158 + x726 =L= 0;

e879..  - 10*b159 + x728 =L= 0;

e880..  - 10*b160 + x730 =L= 0;

e881..  - 10*b161 + x732 =L= 0;

e882..  - 10*b162 + x734 =L= 0;

e883..  - 10*b163 + x736 =L= 0;

e884..  - 10*b164 + x738 =L= 0;

e885..  - 10*b165 + x740 =L= 0;

e886..  - 10*b166 + x742 =L= 0;

e887..  - 10*b167 + x744 =L= 0;

e888..  - 10*b168 + x746 =L= 0;

e889..  - 10*b169 + x748 =L= 0;

e890..  - 10*b170 + x750 =L= 0;

e891..  - 10*b171 + x752 =L= 0;

e892..  - 10*b172 + x754 =L= 0;

e893..  - 10*b173 + x756 =L= 0;

e894..  - 10*b174 + x758 =L= 0;

e895..  - 10*b175 + x760 =L= 0;

e896..  - 10*b176 + x762 =L= 0;

e897..  - 10*b177 + x764 =L= 0;

e898..  - 10*b178 + x766 =L= 0;

e899..  - 10*b179 + x768 =L= 0;

e900..  - 10*b180 + x770 =L= 0;

e901..  - 10*b181 + x771 =L= 0;

e902..  - 10*b182 + x773 =L= 0;

e903..  - 10*b183 + x775 =L= 0;

e904..  - 10*b184 + x777 =L= 0;

e905..  - 10*b185 + x779 =L= 0;

e906..  - 10*b186 + x781 =L= 0;

e907..  - 10*b187 + x783 =L= 0;

e908..  - 10*b188 + x785 =L= 0;

e909..  - 10*b189 + x787 =L= 0;

e910..  - 10*b190 + x789 =L= 0;

e911..  - 10*b191 + x791 =L= 0;

e912..  - 10*b192 + x793 =L= 0;

e913..  - 10*b193 + x795 =L= 0;

e914..  - 10*b194 + x797 =L= 0;

e915..  - 10*b195 + x799 =L= 0;

e916..  - 10*b196 + x801 =L= 0;

e917..  - 10*b197 + x803 =L= 0;

e918..  - 10*b198 + x805 =L= 0;

e919..  - 10*b199 + x807 =L= 0;

e920..  - 10*b200 + x809 =L= 0;

e921..  - 10*b201 + x811 =L= 0;

e922..  - 10*b202 + x813 =L= 0;

e923..  - 10*b203 + x815 =L= 0;

e924..  - 10*b204 + x817 =L= 0;

e925..  - 10*b205 + x819 =L= 0;

e926..  - 10*b206 + x821 =L= 0;

e927..  - 10*b207 + x823 =L= 0;

e928..  - 10*b208 + x825 =L= 0;

e929..  - 10*b209 + x827 =L= 0;

e930..  - 10*b210 + x829 =L= 0;

e931..  - 10*b181 + x772 =L= 0;

e932..  - 10*b182 + x774 =L= 0;

e933..  - 10*b183 + x776 =L= 0;

e934..  - 10*b184 + x778 =L= 0;

e935..  - 10*b185 + x780 =L= 0;

e936..  - 10*b186 + x782 =L= 0;

e937..  - 10*b187 + x784 =L= 0;

e938..  - 10*b188 + x786 =L= 0;

e939..  - 10*b189 + x788 =L= 0;

e940..  - 10*b190 + x790 =L= 0;

e941..  - 10*b191 + x792 =L= 0;

e942..  - 10*b192 + x794 =L= 0;

e943..  - 10*b193 + x796 =L= 0;

e944..  - 10*b194 + x798 =L= 0;

e945..  - 10*b195 + x800 =L= 0;

e946..  - 10*b196 + x802 =L= 0;

e947..  - 10*b197 + x804 =L= 0;

e948..  - 10*b198 + x806 =L= 0;

e949..  - 10*b199 + x808 =L= 0;

e950..  - 10*b200 + x810 =L= 0;

e951..  - 10*b201 + x812 =L= 0;

e952..  - 10*b202 + x814 =L= 0;

e953..  - 10*b203 + x816 =L= 0;

e954..  - 10*b204 + x818 =L= 0;

e955..  - 10*b205 + x820 =L= 0;

e956..  - 10*b206 + x822 =L= 0;

e957..  - 10*b207 + x824 =L= 0;

e958..  - 10*b208 + x826 =L= 0;

e959..  - 10*b209 + x828 =L= 0;

e960..  - 10*b210 + x830 =L= 0;

e961..  - 10*b211 + x831 =L= 0;

e962..  - 10*b212 + x833 =L= 0;

e963..  - 10*b213 + x835 =L= 0;

e964..  - 10*b214 + x837 =L= 0;

e965..  - 10*b215 + x839 =L= 0;

e966..  - 10*b216 + x841 =L= 0;

e967..  - 10*b217 + x843 =L= 0;

e968..  - 10*b218 + x845 =L= 0;

e969..  - 10*b219 + x847 =L= 0;

e970..  - 10*b220 + x849 =L= 0;

e971..  - 10*b221 + x851 =L= 0;

e972..  - 10*b222 + x853 =L= 0;

e973..  - 10*b223 + x855 =L= 0;

e974..  - 10*b224 + x857 =L= 0;

e975..  - 10*b225 + x859 =L= 0;

e976..  - 10*b226 + x861 =L= 0;

e977..  - 10*b227 + x863 =L= 0;

e978..  - 10*b228 + x865 =L= 0;

e979..  - 10*b229 + x867 =L= 0;

e980..  - 10*b230 + x869 =L= 0;

e981..  - 10*b231 + x871 =L= 0;

e982..  - 10*b232 + x873 =L= 0;

e983..  - 10*b233 + x875 =L= 0;

e984..  - 10*b234 + x877 =L= 0;

e985..  - 10*b235 + x879 =L= 0;

e986..  - 10*b236 + x881 =L= 0;

e987..  - 10*b237 + x883 =L= 0;

e988..  - 10*b238 + x885 =L= 0;

e989..  - 10*b239 + x887 =L= 0;

e990..  - 10*b240 + x889 =L= 0;

e991..  - 10*b211 + x832 =L= 0;

e992..  - 10*b212 + x834 =L= 0;

e993..  - 10*b213 + x836 =L= 0;

e994..  - 10*b214 + x838 =L= 0;

e995..  - 10*b215 + x840 =L= 0;

e996..  - 10*b216 + x842 =L= 0;

e997..  - 10*b217 + x844 =L= 0;

e998..  - 10*b218 + x846 =L= 0;

e999..  - 10*b219 + x848 =L= 0;

e1000..  - 10*b220 + x850 =L= 0;

e1001..  - 10*b221 + x852 =L= 0;

e1002..  - 10*b222 + x854 =L= 0;

e1003..  - 10*b223 + x856 =L= 0;

e1004..  - 10*b224 + x858 =L= 0;

e1005..  - 10*b225 + x860 =L= 0;

e1006..  - 10*b226 + x862 =L= 0;

e1007..  - 10*b227 + x864 =L= 0;

e1008..  - 10*b228 + x866 =L= 0;

e1009..  - 10*b229 + x868 =L= 0;

e1010..  - 10*b230 + x870 =L= 0;

e1011..  - 10*b231 + x872 =L= 0;

e1012..  - 10*b232 + x874 =L= 0;

e1013..  - 10*b233 + x876 =L= 0;

e1014..  - 10*b234 + x878 =L= 0;

e1015..  - 10*b235 + x880 =L= 0;

e1016..  - 10*b236 + x882 =L= 0;

e1017..  - 10*b237 + x884 =L= 0;

e1018..  - 10*b238 + x886 =L= 0;

e1019..  - 10*b239 + x888 =L= 0;

e1020..  - 10*b240 + x890 =L= 0;

e1021..  - 10*b241 + x891 =L= 0;

e1022..  - 10*b242 + x893 =L= 0;

e1023..  - 10*b243 + x895 =L= 0;

e1024..  - 10*b244 + x897 =L= 0;

e1025..  - 10*b245 + x899 =L= 0;

e1026..  - 10*b246 + x901 =L= 0;

e1027..  - 10*b247 + x903 =L= 0;

e1028..  - 10*b248 + x905 =L= 0;

e1029..  - 10*b249 + x907 =L= 0;

e1030..  - 10*b250 + x909 =L= 0;

e1031..  - 10*b251 + x911 =L= 0;

e1032..  - 10*b252 + x913 =L= 0;

e1033..  - 10*b253 + x915 =L= 0;

e1034..  - 10*b254 + x917 =L= 0;

e1035..  - 10*b255 + x919 =L= 0;

e1036..  - 10*b256 + x921 =L= 0;

e1037..  - 10*b257 + x923 =L= 0;

e1038..  - 10*b258 + x925 =L= 0;

e1039..  - 10*b259 + x927 =L= 0;

e1040..  - 10*b260 + x929 =L= 0;

e1041..  - 10*b261 + x931 =L= 0;

e1042..  - 10*b262 + x933 =L= 0;

e1043..  - 10*b263 + x935 =L= 0;

e1044..  - 10*b264 + x937 =L= 0;

e1045..  - 10*b265 + x939 =L= 0;

e1046..  - 10*b266 + x941 =L= 0;

e1047..  - 10*b267 + x943 =L= 0;

e1048..  - 10*b268 + x945 =L= 0;

e1049..  - 10*b269 + x947 =L= 0;

e1050..  - 10*b270 + x949 =L= 0;

e1051..  - 10*b241 + x892 =L= 0;

e1052..  - 10*b242 + x894 =L= 0;

e1053..  - 10*b243 + x896 =L= 0;

e1054..  - 10*b244 + x898 =L= 0;

e1055..  - 10*b245 + x900 =L= 0;

e1056..  - 10*b246 + x902 =L= 0;

e1057..  - 10*b247 + x904 =L= 0;

e1058..  - 10*b248 + x906 =L= 0;

e1059..  - 10*b249 + x908 =L= 0;

e1060..  - 10*b250 + x910 =L= 0;

e1061..  - 10*b251 + x912 =L= 0;

e1062..  - 10*b252 + x914 =L= 0;

e1063..  - 10*b253 + x916 =L= 0;

e1064..  - 10*b254 + x918 =L= 0;

e1065..  - 10*b255 + x920 =L= 0;

e1066..  - 10*b256 + x922 =L= 0;

e1067..  - 10*b257 + x924 =L= 0;

e1068..  - 10*b258 + x926 =L= 0;

e1069..  - 10*b259 + x928 =L= 0;

e1070..  - 10*b260 + x930 =L= 0;

e1071..  - 10*b261 + x932 =L= 0;

e1072..  - 10*b262 + x934 =L= 0;

e1073..  - 10*b263 + x936 =L= 0;

e1074..  - 10*b264 + x938 =L= 0;

e1075..  - 10*b265 + x940 =L= 0;

e1076..  - 10*b266 + x942 =L= 0;

e1077..  - 10*b267 + x944 =L= 0;

e1078..  - 10*b268 + x946 =L= 0;

e1079..  - 10*b269 + x948 =L= 0;

e1080..  - 10*b270 + x950 =L= 0;

e1081..  - 10*b271 + x951 =L= 0;

e1082..  - 10*b272 + x953 =L= 0;

e1083..  - 10*b273 + x955 =L= 0;

e1084..  - 10*b274 + x957 =L= 0;

e1085..  - 10*b275 + x959 =L= 0;

e1086..  - 10*b276 + x961 =L= 0;

e1087..  - 10*b277 + x963 =L= 0;

e1088..  - 10*b278 + x965 =L= 0;

e1089..  - 10*b279 + x967 =L= 0;

e1090..  - 10*b280 + x969 =L= 0;

e1091..  - 10*b281 + x971 =L= 0;

e1092..  - 10*b282 + x973 =L= 0;

e1093..  - 10*b283 + x975 =L= 0;

e1094..  - 10*b284 + x977 =L= 0;

e1095..  - 10*b285 + x979 =L= 0;

e1096..  - 10*b286 + x981 =L= 0;

e1097..  - 10*b287 + x983 =L= 0;

e1098..  - 10*b288 + x985 =L= 0;

e1099..  - 10*b289 + x987 =L= 0;

e1100..  - 10*b290 + x989 =L= 0;

e1101..  - 10*b291 + x991 =L= 0;

e1102..  - 10*b292 + x993 =L= 0;

e1103..  - 10*b293 + x995 =L= 0;

e1104..  - 10*b294 + x997 =L= 0;

e1105..  - 10*b295 + x999 =L= 0;

e1106..  - 10*b296 + x1001 =L= 0;

e1107..  - 10*b297 + x1003 =L= 0;

e1108..  - 10*b298 + x1005 =L= 0;

e1109..  - 10*b299 + x1007 =L= 0;

e1110..  - 10*b300 + x1009 =L= 0;

e1111..  - 10*b271 + x952 =L= 0;

e1112..  - 10*b272 + x954 =L= 0;

e1113..  - 10*b273 + x956 =L= 0;

e1114..  - 10*b274 + x958 =L= 0;

e1115..  - 10*b275 + x960 =L= 0;

e1116..  - 10*b276 + x962 =L= 0;

e1117..  - 10*b277 + x964 =L= 0;

e1118..  - 10*b278 + x966 =L= 0;

e1119..  - 10*b279 + x968 =L= 0;

e1120..  - 10*b280 + x970 =L= 0;

e1121..  - 10*b281 + x972 =L= 0;

e1122..  - 10*b282 + x974 =L= 0;

e1123..  - 10*b283 + x976 =L= 0;

e1124..  - 10*b284 + x978 =L= 0;

e1125..  - 10*b285 + x980 =L= 0;

e1126..  - 10*b286 + x982 =L= 0;

e1127..  - 10*b287 + x984 =L= 0;

e1128..  - 10*b288 + x986 =L= 0;

e1129..  - 10*b289 + x988 =L= 0;

e1130..  - 10*b290 + x990 =L= 0;

e1131..  - 10*b291 + x992 =L= 0;

e1132..  - 10*b292 + x994 =L= 0;

e1133..  - 10*b293 + x996 =L= 0;

e1134..  - 10*b294 + x998 =L= 0;

e1135..  - 10*b295 + x1000 =L= 0;

e1136..  - 10*b296 + x1002 =L= 0;

e1137..  - 10*b297 + x1004 =L= 0;

e1138..  - 10*b298 + x1006 =L= 0;

e1139..  - 10*b299 + x1008 =L= 0;

e1140..  - 10*b300 + x1010 =L= 0;

e1141..    x301 - x302 =L= 0;

e1142..    x302 - x307 =L= 0;

e1143..    x307 - x311 =L= 0;

e1144..    x311 - x315 =L= 0;

e1145..    x315 - x319 =L= 0;

e1146..    x319 - x323 =L= 0;

e1147..    x323 - x327 =L= 0;

e1148..    x327 - x331 =L= 0;

e1149..    x331 - x335 =L= 0;

e1150..  - x303 - x306 - x308 - x310 - x312 - x314 - x316 - x318 - x320 - x322
         - x324 - x326 - x328 - x330 - x332 - x334 - x336 - 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 - x409 - x410
         + objvar =E= 0;

* set non-default bounds
x301.up = 10;
x302.up = 10;
x303.up = 10;
x304.up = 10;
x305.up = 10;
x306.up = 10;
x307.up = 10;
x308.up = 10;
x309.up = 10;
x310.up = 10;
x311.up = 10;
x312.up = 10;
x313.up = 10;
x314.up = 10;
x315.up = 10;
x316.up = 10;
x317.up = 10;
x318.up = 10;
x319.up = 10;
x320.up = 10;
x321.up = 10;
x322.up = 10;
x323.up = 10;
x324.up = 10;
x325.up = 10;
x326.up = 10;
x327.up = 10;
x328.up = 10;
x329.up = 10;
x330.up = 10;
x331.up = 10;
x332.up = 10;
x333.up = 10;
x334.up = 10;
x335.up = 10;
x336.up = 10;
x337.up = 10;
x338.up = 10;
x339.up = 10;
x340.up = 10;
x341.up = 10;
x342.up = 10;
x343.up = 10;
x344.up = 10;
x345.up = 10;
x346.up = 10;
x347.up = 10;
x348.up = 10;
x349.up = 10;
x350.up = 10;
x351.up = 10;
x352.up = 10;
x353.up = 10;
x354.up = 10;
x355.up = 10;
x356.up = 10;
x357.up = 10;
x358.up = 10;
x359.up = 10;
x360.up = 10;
x361.up = 10;
x362.up = 10;
x363.up = 10;
x364.up = 10;
x365.up = 10;
x366.up = 10;
x367.up = 10;
x368.up = 10;
x369.up = 10;
x370.up = 10;
x371.up = 10;
x372.up = 10;
x373.up = 10;
x374.up = 10;
x375.up = 10;
x376.up = 10;
x377.up = 10;
x378.up = 10;
x379.up = 10;
x380.up = 10;
x381.up = 10;
x382.up = 10;
x383.up = 10;
x384.up = 10;
x385.up = 10;
x386.up = 10;
x387.up = 10;
x388.up = 10;
x389.up = 10;
x390.up = 10;
x391.up = 10;
x392.up = 10;
x393.up = 10;
x394.up = 10;
x395.up = 10;
x396.up = 10;
x397.up = 10;
x398.up = 10;
x399.up = 10;
x400.up = 10;
x401.up = 10;
x402.up = 10;
x403.up = 10;
x404.up = 10;
x405.up = 10;
x406.up = 10;
x407.up = 10;
x408.up = 10;
x409.up = 10;
x410.up = 10;
x411.up = 10;
x412.up = 10;
x413.up = 10;
x414.up = 10;
x415.up = 10;
x416.up = 10;
x417.up = 10;
x418.up = 10;
x419.up = 10;
x420.up = 10;
x421.up = 10;
x422.up = 10;
x423.up = 10;
x424.up = 10;
x425.up = 10;
x426.up = 10;
x427.up = 10;
x428.up = 10;
x429.up = 10;
x430.up = 10;
x431.up = 10;
x432.up = 10;
x433.up = 10;
x434.up = 10;
x435.up = 10;
x436.up = 10;
x437.up = 10;
x438.up = 10;
x439.up = 10;
x440.up = 10;
x441.up = 10;
x442.up = 10;
x443.up = 10;
x444.up = 10;
x445.up = 10;
x446.up = 10;
x447.up = 10;
x448.up = 10;
x449.up = 10;
x450.up = 10;
x451.up = 10;
x452.up = 10;
x453.up = 10;
x454.up = 10;
x455.up = 10;
x456.up = 10;
x457.up = 10;
x458.up = 10;
x459.up = 10;
x460.up = 10;
x461.up = 10;
x462.up = 10;
x463.up = 10;
x464.up = 10;
x465.up = 10;
x466.up = 10;
x467.up = 10;
x468.up = 10;
x469.up = 10;
x470.up = 10;
x471.up = 10;
x472.up = 10;
x473.up = 10;
x474.up = 10;
x475.up = 10;
x476.up = 10;
x477.up = 10;
x478.up = 10;
x479.up = 10;
x480.up = 10;
x481.up = 10;
x482.up = 10;
x483.up = 10;
x484.up = 10;
x485.up = 10;
x486.up = 10;
x487.up = 10;
x488.up = 10;
x489.up = 10;
x490.up = 10;
x491.up = 10;
x492.up = 10;
x493.up = 10;
x494.up = 10;
x495.up = 10;
x496.up = 10;
x497.up = 10;
x498.up = 10;
x499.up = 10;
x500.up = 10;
x501.up = 10;
x502.up = 10;
x503.up = 10;
x504.up = 10;
x505.up = 10;
x506.up = 10;
x507.up = 10;
x508.up = 10;
x509.up = 10;
x510.up = 10;
x511.up = 10;
x512.up = 10;
x513.up = 10;
x514.up = 10;
x515.up = 10;
x516.up = 10;
x517.up = 10;
x518.up = 10;
x519.up = 10;
x520.up = 10;
x521.up = 10;
x522.up = 10;
x523.up = 10;
x524.up = 10;
x525.up = 10;
x526.up = 10;
x527.up = 10;
x528.up = 10;
x529.up = 10;
x530.up = 10;
x531.up = 10;
x532.up = 10;
x533.up = 10;
x534.up = 10;
x535.up = 10;
x536.up = 10;
x537.up = 10;
x538.up = 10;
x539.up = 10;
x540.up = 10;
x541.up = 10;
x542.up = 10;
x543.up = 10;
x544.up = 10;
x545.up = 10;
x546.up = 10;
x547.up = 10;
x548.up = 10;
x549.up = 10;
x550.up = 10;
x551.up = 10;
x552.up = 10;
x553.up = 10;
x554.up = 10;
x555.up = 10;
x556.up = 10;
x557.up = 10;
x558.up = 10;
x559.up = 10;
x560.up = 10;
x561.up = 10;
x562.up = 10;
x563.up = 10;
x564.up = 10;
x565.up = 10;
x566.up = 10;
x567.up = 10;
x568.up = 10;
x569.up = 10;
x570.up = 10;
x571.up = 10;
x572.up = 10;
x573.up = 10;
x574.up = 10;
x575.up = 10;
x576.up = 10;
x577.up = 10;
x578.up = 10;
x579.up = 10;
x580.up = 10;
x581.up = 10;
x582.up = 10;
x583.up = 10;
x584.up = 10;
x585.up = 10;
x586.up = 10;
x587.up = 10;
x588.up = 10;
x589.up = 10;
x590.up = 10;
x591.up = 10;
x592.up = 10;
x593.up = 10;
x594.up = 10;
x595.up = 10;
x596.up = 10;
x597.up = 10;
x598.up = 10;
x599.up = 10;
x600.up = 10;
x601.up = 10;
x602.up = 10;
x603.up = 10;
x604.up = 10;
x605.up = 10;
x606.up = 10;
x607.up = 10;
x608.up = 10;
x609.up = 10;
x610.up = 10;
x611.up = 10;
x612.up = 10;
x613.up = 10;
x614.up = 10;
x615.up = 10;
x616.up = 10;
x617.up = 10;
x618.up = 10;
x619.up = 10;
x620.up = 10;
x621.up = 10;
x622.up = 10;
x623.up = 10;
x624.up = 10;
x625.up = 10;
x626.up = 10;
x627.up = 10;
x628.up = 10;
x629.up = 10;
x630.up = 10;
x631.up = 10;
x632.up = 10;
x633.up = 10;
x634.up = 10;
x635.up = 10;
x636.up = 10;
x637.up = 10;
x638.up = 10;
x639.up = 10;
x640.up = 10;
x641.up = 10;
x642.up = 10;
x643.up = 10;
x644.up = 10;
x645.up = 10;
x646.up = 10;
x647.up = 10;
x648.up = 10;
x649.up = 10;
x650.up = 10;
x651.up = 10;
x652.up = 10;
x653.up = 10;
x654.up = 10;
x655.up = 10;
x656.up = 10;
x657.up = 10;
x658.up = 10;
x659.up = 10;
x660.up = 10;
x661.up = 10;
x662.up = 10;
x663.up = 10;
x664.up = 10;
x665.up = 10;
x666.up = 10;
x667.up = 10;
x668.up = 10;
x669.up = 10;
x670.up = 10;
x671.up = 10;
x672.up = 10;
x673.up = 10;
x674.up = 10;
x675.up = 10;
x676.up = 10;
x677.up = 10;
x678.up = 10;
x679.up = 10;
x680.up = 10;
x681.up = 10;
x682.up = 10;
x683.up = 10;
x684.up = 10;
x685.up = 10;
x686.up = 10;
x687.up = 10;
x688.up = 10;
x689.up = 10;
x690.up = 10;
x691.up = 10;
x692.up = 10;
x693.up = 10;
x694.up = 10;
x695.up = 10;
x696.up = 10;
x697.up = 10;
x698.up = 10;
x699.up = 10;
x700.up = 10;
x701.up = 10;
x702.up = 10;
x703.up = 10;
x704.up = 10;
x705.up = 10;
x706.up = 10;
x707.up = 10;
x708.up = 10;
x709.up = 10;
x710.up = 10;
x711.up = 10;
x712.up = 10;
x713.up = 10;
x714.up = 10;
x715.up = 10;
x716.up = 10;
x717.up = 10;
x718.up = 10;
x719.up = 10;
x720.up = 10;
x721.up = 10;
x722.up = 10;
x723.up = 10;
x724.up = 10;
x725.up = 10;
x726.up = 10;
x727.up = 10;
x728.up = 10;
x729.up = 10;
x730.up = 10;
x731.up = 10;
x732.up = 10;
x733.up = 10;
x734.up = 10;
x735.up = 10;
x736.up = 10;
x737.up = 10;
x738.up = 10;
x739.up = 10;
x740.up = 10;
x741.up = 10;
x742.up = 10;
x743.up = 10;
x744.up = 10;
x745.up = 10;
x746.up = 10;
x747.up = 10;
x748.up = 10;
x749.up = 10;
x750.up = 10;
x751.up = 10;
x752.up = 10;
x753.up = 10;
x754.up = 10;
x755.up = 10;
x756.up = 10;
x757.up = 10;
x758.up = 10;
x759.up = 10;
x760.up = 10;
x761.up = 10;
x762.up = 10;
x763.up = 10;
x764.up = 10;
x765.up = 10;
x766.up = 10;
x767.up = 10;
x768.up = 10;
x769.up = 10;
x770.up = 10;
x771.up = 10;
x772.up = 10;
x773.up = 10;
x774.up = 10;
x775.up = 10;
x776.up = 10;
x777.up = 10;
x778.up = 10;
x779.up = 10;
x780.up = 10;
x781.up = 10;
x782.up = 10;
x783.up = 10;
x784.up = 10;
x785.up = 10;
x786.up = 10;
x787.up = 10;
x788.up = 10;
x789.up = 10;
x790.up = 10;
x791.up = 10;
x792.up = 10;
x793.up = 10;
x794.up = 10;
x795.up = 10;
x796.up = 10;
x797.up = 10;
x798.up = 10;
x799.up = 10;
x800.up = 10;
x801.up = 10;
x802.up = 10;
x803.up = 10;
x804.up = 10;
x805.up = 10;
x806.up = 10;
x807.up = 10;
x808.up = 10;
x809.up = 10;
x810.up = 10;
x811.up = 10;
x812.up = 10;
x813.up = 10;
x814.up = 10;
x815.up = 10;
x816.up = 10;
x817.up = 10;
x818.up = 10;
x819.up = 10;
x820.up = 10;
x821.up = 10;
x822.up = 10;
x823.up = 10;
x824.up = 10;
x825.up = 10;
x826.up = 10;
x827.up = 10;
x828.up = 10;
x829.up = 10;
x830.up = 10;
x831.up = 10;
x832.up = 10;
x833.up = 10;
x834.up = 10;
x835.up = 10;
x836.up = 10;
x837.up = 10;
x838.up = 10;
x839.up = 10;
x840.up = 10;
x841.up = 10;
x842.up = 10;
x843.up = 10;
x844.up = 10;
x845.up = 10;
x846.up = 10;
x847.up = 10;
x848.up = 10;
x849.up = 10;
x850.up = 10;
x851.up = 10;
x852.up = 10;
x853.up = 10;
x854.up = 10;
x855.up = 10;
x856.up = 10;
x857.up = 10;
x858.up = 10;
x859.up = 10;
x860.up = 10;
x861.up = 10;
x862.up = 10;
x863.up = 10;
x864.up = 10;
x865.up = 10;
x866.up = 10;
x867.up = 10;
x868.up = 10;
x869.up = 10;
x870.up = 10;
x871.up = 10;
x872.up = 10;
x873.up = 10;
x874.up = 10;
x875.up = 10;
x876.up = 10;
x877.up = 10;
x878.up = 10;
x879.up = 10;
x880.up = 10;
x881.up = 10;
x882.up = 10;
x883.up = 10;
x884.up = 10;
x885.up = 10;
x886.up = 10;
x887.up = 10;
x888.up = 10;
x889.up = 10;
x890.up = 10;
x891.up = 10;
x892.up = 10;
x893.up = 10;
x894.up = 10;
x895.up = 10;
x896.up = 10;
x897.up = 10;
x898.up = 10;
x899.up = 10;
x900.up = 10;
x901.up = 10;
x902.up = 10;
x903.up = 10;
x904.up = 10;
x905.up = 10;
x906.up = 10;
x907.up = 10;
x908.up = 10;
x909.up = 10;
x910.up = 10;
x911.up = 10;
x912.up = 10;
x913.up = 10;
x914.up = 10;
x915.up = 10;
x916.up = 10;
x917.up = 10;
x918.up = 10;
x919.up = 10;
x920.up = 10;
x921.up = 10;
x922.up = 10;
x923.up = 10;
x924.up = 10;
x925.up = 10;
x926.up = 10;
x927.up = 10;
x928.up = 10;
x929.up = 10;
x930.up = 10;
x931.up = 10;
x932.up = 10;
x933.up = 10;
x934.up = 10;
x935.up = 10;
x936.up = 10;
x937.up = 10;
x938.up = 10;
x939.up = 10;
x940.up = 10;
x941.up = 10;
x942.up = 10;
x943.up = 10;
x944.up = 10;
x945.up = 10;
x946.up = 10;
x947.up = 10;
x948.up = 10;
x949.up = 10;
x950.up = 10;
x951.up = 10;
x952.up = 10;
x953.up = 10;
x954.up = 10;
x955.up = 10;
x956.up = 10;
x957.up = 10;
x958.up = 10;
x959.up = 10;
x960.up = 10;
x961.up = 10;
x962.up = 10;
x963.up = 10;
x964.up = 10;
x965.up = 10;
x966.up = 10;
x967.up = 10;
x968.up = 10;
x969.up = 10;
x970.up = 10;
x971.up = 10;
x972.up = 10;
x973.up = 10;
x974.up = 10;
x975.up = 10;
x976.up = 10;
x977.up = 10;
x978.up = 10;
x979.up = 10;
x980.up = 10;
x981.up = 10;
x982.up = 10;
x983.up = 10;
x984.up = 10;
x985.up = 10;
x986.up = 10;
x987.up = 10;
x988.up = 10;
x989.up = 10;
x990.up = 10;
x991.up = 10;
x992.up = 10;
x993.up = 10;
x994.up = 10;
x995.up = 10;
x996.up = 10;
x997.up = 10;
x998.up = 10;
x999.up = 10;
x1000.up = 10;
x1001.up = 10;
x1002.up = 10;
x1003.up = 10;
x1004.up = 10;
x1005.up = 10;
x1006.up = 10;
x1007.up = 10;
x1008.up = 10;
x1009.up = 10;
x1010.up = 10;

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: 2022-08-11 Git hash: f176bd52
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