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Instance p_ball_30b_10p_2d_m

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 big-M formulation.
Formats ams gms lp mod nl osil pip py
Primal Bounds (infeas ≤ 1e-08)
41.93395425 p1 ( gdx sol )
(infeas: 9e-16)
Other points (infeas > 1e-08)  
Dual Bounds
0.00000000 (ALPHAECP)
0.00000000 (ANTIGONE)
0.00000000 (BARON)
-0.00000000 (BONMIN)
0.00000000 (COUENNE)
15.51460424 (CPLEX)
0.00000000 (GUROBI)
0.00000023 (LINDO)
33.89074600 (SCIP)
1.66808026 (SHOT)
References Kronqvist, Jan and Misener, Ruth, A disjunctive cut strengthening technique for convex MINLP, Tech. Rep., 2020.
Source p_ball_30b_10p_2d.gms, contributed by Jan Kronqvist and Ruth Misener
Application Geometry
Added to library 26 Aug 2020
Problem type MBQCP
#Variables 410
#Binary Variables 300
#Integer Variables 0
#Nonlinear Variables 20
#Nonlinear Binary Variables 0
#Nonlinear Integer Variables 0
Objective Sense min
Objective type linear
Objective curvature linear
#Nonzeros in Objective 90
#Nonlinear Nonzeros in Objective 0
#Constraints 529
#Linear Constraints 229
#Quadratic Constraints 300
#Polynomial Constraints 0
#Signomial Constraints 0
#General Nonlinear Constraints 0
Operands in Gen. Nonlin. Functions  
Constraints curvature convex
#Nonzeros in Jacobian 2058
#Nonlinear Nonzeros in Jacobian 600
#Nonzeros in (Upper-Left) Hessian of Lagrangian 20
#Nonzeros in Diagonal of Hessian of Lagrangian 20
#Blocks in Hessian of Lagrangian 20
Minimal blocksize in Hessian of Lagrangian 1
Maximal blocksize in Hessian of Lagrangian 1
Average blocksize in Hessian of Lagrangian 1.0
#Semicontinuities 0
#Nonlinear Semicontinuities 0
#SOS type 1 0
#SOS type 2 0
Minimal coefficient 1.0724e-01
Maximal coefficient 1.5385e+02
Infeasibility of initial point 3.156
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
*        530       11        0      519        0        0        0        0
*  
*  Variable counts
*                   x        b        i      s1s      s2s       sc       si
*      Total     cont   binary  integer     sos1     sos2    scont     sint
*        411      111      300        0        0        0        0        0
*  FX      0
*  
*  Nonzero counts
*      Total    const       NL      DLL
*       2149     1549      600        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,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;

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
          ,e143,e144,e145,e146,e147,e148,e149,e150,e151,e152,e153,e154,e155
          ,e156,e157,e158,e159,e160,e161,e162,e163,e164,e165,e166,e167,e168
          ,e169,e170,e171,e172,e173,e174,e175,e176,e177,e178,e179,e180,e181
          ,e182,e183,e184,e185,e186,e187,e188,e189,e190,e191,e192,e193,e194
          ,e195,e196,e197,e198,e199,e200,e201,e202,e203,e204,e205,e206,e207
          ,e208,e209,e210,e211,e212,e213,e214,e215,e216,e217,e218,e219,e220
          ,e221,e222,e223,e224,e225,e226,e227,e228,e229,e230,e231,e232,e233
          ,e234,e235,e236,e237,e238,e239,e240,e241,e242,e243,e244,e245,e246
          ,e247,e248,e249,e250,e251,e252,e253,e254,e255,e256,e257,e258,e259
          ,e260,e261,e262,e263,e264,e265,e266,e267,e268,e269,e270,e271,e272
          ,e273,e274,e275,e276,e277,e278,e279,e280,e281,e282,e283,e284,e285
          ,e286,e287,e288,e289,e290,e291,e292,e293,e294,e295,e296,e297,e298
          ,e299,e300,e301,e302,e303,e304,e305,e306,e307,e308,e309,e310,e311
          ,e312,e313,e314,e315,e316,e317,e318,e319,e320,e321,e322,e323,e324
          ,e325,e326,e327,e328,e329,e330,e331,e332,e333,e334,e335,e336,e337
          ,e338,e339,e340,e341,e342,e343,e344,e345,e346,e347,e348,e349,e350
          ,e351,e352,e353,e354,e355,e356,e357,e358,e359,e360,e361,e362,e363
          ,e364,e365,e366,e367,e368,e369,e370,e371,e372,e373,e374,e375,e376
          ,e377,e378,e379,e380,e381,e382,e383,e384,e385,e386,e387,e388,e389
          ,e390,e391,e392,e393,e394,e395,e396,e397,e398,e399,e400,e401,e402
          ,e403,e404,e405,e406,e407,e408,e409,e410,e411,e412,e413,e414,e415
          ,e416,e417,e418,e419,e420,e421,e422,e423,e424,e425,e426,e427,e428
          ,e429,e430,e431,e432,e433,e434,e435,e436,e437,e438,e439,e440,e441
          ,e442,e443,e444,e445,e446,e447,e448,e449,e450,e451,e452,e453,e454
          ,e455,e456,e457,e458,e459,e460,e461,e462,e463,e464,e465,e466,e467
          ,e468,e469,e470,e471,e472,e473,e474,e475,e476,e477,e478,e479,e480
          ,e481,e482,e483,e484,e485,e486,e487,e488,e489,e490,e491,e492,e493
          ,e494,e495,e496,e497,e498,e499,e500,e501,e502,e503,e504,e505,e506
          ,e507,e508,e509,e510,e511,e512,e513,e514,e515,e516,e517,e518,e519
          ,e520,e521,e522,e523,e524,e525,e526,e527,e528,e529,e530;


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.. sqr(2.84746945184196 - x301) + sqr(6.74779851669768 - x304)
        + 67.42707737338*b1 =L= 68.42707737338;

e182.. sqr(6.63261133839597 - x301) + sqr(7.58930814907984 - x304)
        + 100.27903396698*b2 =L= 101.27903396698;

e183.. sqr(2.78008351564232 - x301) + sqr(5.62089512941063 - x304)
        + 62.225162895805*b3 =L= 63.225162895805;

e184.. sqr(3.36345404799715 - x301) + sqr(5.61693710344635 - x304)
        + 54.3423498257743*b4 =L= 55.3423498257743;

e185.. sqr(1.46574263591158 - x301) + sqr(0.14249643071642 - x304)
        + 153.854418335954*b5 =L= 154.854418335954;

e186.. sqr(6.59824950993792 - x301) + sqr(1.91438252349491 - x304)
        + 115.729330039997*b6 =L= 116.729330039997;

e187.. sqr(2.02515523263325 - x301) + sqr(3.62141731303869 - x304)
        + 92.1830734090453*b7 =L= 93.1830734090453;

e188.. sqr(8.97152199819966 - x301) + sqr(8.78133845105015 - x304)
        + 153.854418335954*b8 =L= 154.854418335954;

e189.. sqr(1.87485423601802 - x301) + sqr(8.96274662253461 - x304)
        + 106.113667406259*b9 =L= 107.113667406259;

e190.. sqr(7.52025674966412 - x301) + sqr(8.80268658264247 - x304)
        + 132.789518443852*b10 =L= 133.789518443852;

e191.. sqr(3.85704114235832 - x301) + sqr(6.36674450874035 - x304)
        + 57.7951750598727*b11 =L= 58.7951750598727;

e192.. sqr(8.48963678940351 - x301) + sqr(5.48402210821562 - x304)
        + 102.926783859086*b12 =L= 103.926783859086;

e193.. sqr(6.03160481727421 - x301) + sqr(1.276552921829 - x304)
        + 118.75213232131*b13 =L= 119.75213232131;

e194.. sqr(6.90662266429413 - x301) + sqr(8.78931785429954 - x304)
        + 124.803091689871*b14 =L= 125.803091689871;

e195.. sqr(3.71078725250056 - x301) + sqr(4.66415664133948 - x304)
        + 57.9871322900609*b15 =L= 58.9871322900609;

e196.. sqr(0.107239833314705 - x301) + sqr(9.26202525440128 - x304)
        + 141.568883438575*b16 =L= 142.568883438575;

e197.. sqr(8.04739319923014 - x301) + sqr(3.59305161391794 - x304)
        + 114.695683175902*b17 =L= 115.695683175902;

e198.. sqr(5.28411061001579 - x301) + sqr(9.36648183133357 - x304)
        + 119.627996085735*b18 =L= 120.627996085735;

e199.. sqr(1.06171481272944 - x301) + sqr(3.65844432398946 - x304)
        + 107.656809348234*b19 =L= 108.656809348234;

e200.. sqr(9.05099582793631 - x301) + sqr(3.98215513024397 - x304)
        + 128.639684646565*b20 =L= 129.639684646565;

e201.. sqr(9.08772707393705 - x301) + sqr(3.01388234113091 - x304)
        + 141.568883438575*b21 =L= 142.568883438575;

e202.. sqr(8.83910845171846 - x301) + sqr(8.26686922455514 - x304)
        + 142.314787626056*b22 =L= 143.314787626056;

e203.. sqr(3.41090111187451 - x301) + sqr(6.48985541572597 - x304)
        + 57.6217041967589*b23 =L= 58.6217041967589;

e204.. sqr(1.22004189182266 - x301) + sqr(2.52276995748249 - x304)
        + 119.180496541755*b24 =L= 120.180496541755;

e205.. sqr(3.94802045665365 - x301) + sqr(6.40339456473198 - x304)
        + 58.8305966748386*b25 =L= 59.8305966748386;

e206.. sqr(4.9104301706676 - x301) + sqr(3.1538945754034 - x304)
        + 75.9207984013209*b26 =L= 76.9207984013209;

e207.. sqr(3.23176530143453 - x301) + sqr(7.03644502956294 - x304)
        + 64.8784745008497*b27 =L= 65.8784745008497;

e208.. sqr(0.39249886515424 - x301) + sqr(1.58871179600639 - x304)
        + 147.724006608004*b28 =L= 148.724006608004;

e209.. sqr(4.42690021019308 - x301) + sqr(8.74244441962606 - x304)
        + 100.918497950284*b29 =L= 101.918497950284;

e210.. sqr(2.59382124128511 - x301) + sqr(9.98780114819833 - x304)
        + 118.022029936783*b30 =L= 119.022029936783;

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.. sqr(2.84746945184196 - x302) + sqr(6.74779851669768 - x305)
        + 67.42707737338*b31 =L= 68.42707737338;

e213.. sqr(6.63261133839597 - x302) + sqr(7.58930814907984 - x305)
        + 100.27903396698*b32 =L= 101.27903396698;

e214.. sqr(2.78008351564232 - x302) + sqr(5.62089512941063 - x305)
        + 62.225162895805*b33 =L= 63.225162895805;

e215.. sqr(3.36345404799715 - x302) + sqr(5.61693710344635 - x305)
        + 54.3423498257743*b34 =L= 55.3423498257743;

e216.. sqr(1.46574263591158 - x302) + sqr(0.14249643071642 - x305)
        + 153.854418335954*b35 =L= 154.854418335954;

e217.. sqr(6.59824950993792 - x302) + sqr(1.91438252349491 - x305)
        + 115.729330039997*b36 =L= 116.729330039997;

e218.. sqr(2.02515523263325 - x302) + sqr(3.62141731303869 - x305)
        + 92.1830734090453*b37 =L= 93.1830734090453;

e219.. sqr(8.97152199819966 - x302) + sqr(8.78133845105015 - x305)
        + 153.854418335954*b38 =L= 154.854418335954;

e220.. sqr(1.87485423601802 - x302) + sqr(8.96274662253461 - x305)
        + 106.113667406259*b39 =L= 107.113667406259;

e221.. sqr(7.52025674966412 - x302) + sqr(8.80268658264247 - x305)
        + 132.789518443852*b40 =L= 133.789518443852;

e222.. sqr(3.85704114235832 - x302) + sqr(6.36674450874035 - x305)
        + 57.7951750598727*b41 =L= 58.7951750598727;

e223.. sqr(8.48963678940351 - x302) + sqr(5.48402210821562 - x305)
        + 102.926783859086*b42 =L= 103.926783859086;

e224.. sqr(6.03160481727421 - x302) + sqr(1.276552921829 - x305)
        + 118.75213232131*b43 =L= 119.75213232131;

e225.. sqr(6.90662266429413 - x302) + sqr(8.78931785429954 - x305)
        + 124.803091689871*b44 =L= 125.803091689871;

e226.. sqr(3.71078725250056 - x302) + sqr(4.66415664133948 - x305)
        + 57.9871322900609*b45 =L= 58.9871322900609;

e227.. sqr(0.107239833314705 - x302) + sqr(9.26202525440128 - x305)
        + 141.568883438575*b46 =L= 142.568883438575;

e228.. sqr(8.04739319923014 - x302) + sqr(3.59305161391794 - x305)
        + 114.695683175902*b47 =L= 115.695683175902;

e229.. sqr(5.28411061001579 - x302) + sqr(9.36648183133357 - x305)
        + 119.627996085735*b48 =L= 120.627996085735;

e230.. sqr(1.06171481272944 - x302) + sqr(3.65844432398946 - x305)
        + 107.656809348234*b49 =L= 108.656809348234;

e231.. sqr(9.05099582793631 - x302) + sqr(3.98215513024397 - x305)
        + 128.639684646565*b50 =L= 129.639684646565;

e232.. sqr(9.08772707393705 - x302) + sqr(3.01388234113091 - x305)
        + 141.568883438575*b51 =L= 142.568883438575;

e233.. sqr(8.83910845171846 - x302) + sqr(8.26686922455514 - x305)
        + 142.314787626056*b52 =L= 143.314787626056;

e234.. sqr(3.41090111187451 - x302) + sqr(6.48985541572597 - x305)
        + 57.6217041967589*b53 =L= 58.6217041967589;

e235.. sqr(1.22004189182266 - x302) + sqr(2.52276995748249 - x305)
        + 119.180496541755*b54 =L= 120.180496541755;

e236.. sqr(3.94802045665365 - x302) + sqr(6.40339456473198 - x305)
        + 58.8305966748386*b55 =L= 59.8305966748386;

e237.. sqr(4.9104301706676 - x302) + sqr(3.1538945754034 - x305)
        + 75.9207984013209*b56 =L= 76.9207984013209;

e238.. sqr(3.23176530143453 - x302) + sqr(7.03644502956294 - x305)
        + 64.8784745008497*b57 =L= 65.8784745008497;

e239.. sqr(0.39249886515424 - x302) + sqr(1.58871179600639 - x305)
        + 147.724006608004*b58 =L= 148.724006608004;

e240.. sqr(4.42690021019308 - x302) + sqr(8.74244441962606 - x305)
        + 100.918497950284*b59 =L= 101.918497950284;

e241.. sqr(2.59382124128511 - x302) + sqr(9.98780114819833 - x305)
        + 118.022029936783*b60 =L= 119.022029936783;

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.. sqr(2.84746945184196 - x307) + sqr(6.74779851669768 - x309)
        + 67.42707737338*b61 =L= 68.42707737338;

e244.. sqr(6.63261133839597 - x307) + sqr(7.58930814907984 - x309)
        + 100.27903396698*b62 =L= 101.27903396698;

e245.. sqr(2.78008351564232 - x307) + sqr(5.62089512941063 - x309)
        + 62.225162895805*b63 =L= 63.225162895805;

e246.. sqr(3.36345404799715 - x307) + sqr(5.61693710344635 - x309)
        + 54.3423498257743*b64 =L= 55.3423498257743;

e247.. sqr(1.46574263591158 - x307) + sqr(0.14249643071642 - x309)
        + 153.854418335954*b65 =L= 154.854418335954;

e248.. sqr(6.59824950993792 - x307) + sqr(1.91438252349491 - x309)
        + 115.729330039997*b66 =L= 116.729330039997;

e249.. sqr(2.02515523263325 - x307) + sqr(3.62141731303869 - x309)
        + 92.1830734090453*b67 =L= 93.1830734090453;

e250.. sqr(8.97152199819966 - x307) + sqr(8.78133845105015 - x309)
        + 153.854418335954*b68 =L= 154.854418335954;

e251.. sqr(1.87485423601802 - x307) + sqr(8.96274662253461 - x309)
        + 106.113667406259*b69 =L= 107.113667406259;

e252.. sqr(7.52025674966412 - x307) + sqr(8.80268658264247 - x309)
        + 132.789518443852*b70 =L= 133.789518443852;

e253.. sqr(3.85704114235832 - x307) + sqr(6.36674450874035 - x309)
        + 57.7951750598727*b71 =L= 58.7951750598727;

e254.. sqr(8.48963678940351 - x307) + sqr(5.48402210821562 - x309)
        + 102.926783859086*b72 =L= 103.926783859086;

e255.. sqr(6.03160481727421 - x307) + sqr(1.276552921829 - x309)
        + 118.75213232131*b73 =L= 119.75213232131;

e256.. sqr(6.90662266429413 - x307) + sqr(8.78931785429954 - x309)
        + 124.803091689871*b74 =L= 125.803091689871;

e257.. sqr(3.71078725250056 - x307) + sqr(4.66415664133948 - x309)
        + 57.9871322900609*b75 =L= 58.9871322900609;

e258.. sqr(0.107239833314705 - x307) + sqr(9.26202525440128 - x309)
        + 141.568883438575*b76 =L= 142.568883438575;

e259.. sqr(8.04739319923014 - x307) + sqr(3.59305161391794 - x309)
        + 114.695683175902*b77 =L= 115.695683175902;

e260.. sqr(5.28411061001579 - x307) + sqr(9.36648183133357 - x309)
        + 119.627996085735*b78 =L= 120.627996085735;

e261.. sqr(1.06171481272944 - x307) + sqr(3.65844432398946 - x309)
        + 107.656809348234*b79 =L= 108.656809348234;

e262.. sqr(9.05099582793631 - x307) + sqr(3.98215513024397 - x309)
        + 128.639684646565*b80 =L= 129.639684646565;

e263.. sqr(9.08772707393705 - x307) + sqr(3.01388234113091 - x309)
        + 141.568883438575*b81 =L= 142.568883438575;

e264.. sqr(8.83910845171846 - x307) + sqr(8.26686922455514 - x309)
        + 142.314787626056*b82 =L= 143.314787626056;

e265.. sqr(3.41090111187451 - x307) + sqr(6.48985541572597 - x309)
        + 57.6217041967589*b83 =L= 58.6217041967589;

e266.. sqr(1.22004189182266 - x307) + sqr(2.52276995748249 - x309)
        + 119.180496541755*b84 =L= 120.180496541755;

e267.. sqr(3.94802045665365 - x307) + sqr(6.40339456473198 - x309)
        + 58.8305966748386*b85 =L= 59.8305966748386;

e268.. sqr(4.9104301706676 - x307) + sqr(3.1538945754034 - x309)
        + 75.9207984013209*b86 =L= 76.9207984013209;

e269.. sqr(3.23176530143453 - x307) + sqr(7.03644502956294 - x309)
        + 64.8784745008497*b87 =L= 65.8784745008497;

e270.. sqr(0.39249886515424 - x307) + sqr(1.58871179600639 - x309)
        + 147.724006608004*b88 =L= 148.724006608004;

e271.. sqr(4.42690021019308 - x307) + sqr(8.74244441962606 - x309)
        + 100.918497950284*b89 =L= 101.918497950284;

e272.. sqr(2.59382124128511 - x307) + sqr(9.98780114819833 - x309)
        + 118.022029936783*b90 =L= 119.022029936783;

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.. sqr(2.84746945184196 - x311) + sqr(6.74779851669768 - x313)
        + 67.42707737338*b91 =L= 68.42707737338;

e275.. sqr(6.63261133839597 - x311) + sqr(7.58930814907984 - x313)
        + 100.27903396698*b92 =L= 101.27903396698;

e276.. sqr(2.78008351564232 - x311) + sqr(5.62089512941063 - x313)
        + 62.225162895805*b93 =L= 63.225162895805;

e277.. sqr(3.36345404799715 - x311) + sqr(5.61693710344635 - x313)
        + 54.3423498257743*b94 =L= 55.3423498257743;

e278.. sqr(1.46574263591158 - x311) + sqr(0.14249643071642 - x313)
        + 153.854418335954*b95 =L= 154.854418335954;

e279.. sqr(6.59824950993792 - x311) + sqr(1.91438252349491 - x313)
        + 115.729330039997*b96 =L= 116.729330039997;

e280.. sqr(2.02515523263325 - x311) + sqr(3.62141731303869 - x313)
        + 92.1830734090453*b97 =L= 93.1830734090453;

e281.. sqr(8.97152199819966 - x311) + sqr(8.78133845105015 - x313)
        + 153.854418335954*b98 =L= 154.854418335954;

e282.. sqr(1.87485423601802 - x311) + sqr(8.96274662253461 - x313)
        + 106.113667406259*b99 =L= 107.113667406259;

e283.. sqr(7.52025674966412 - x311) + sqr(8.80268658264247 - x313)
        + 132.789518443852*b100 =L= 133.789518443852;

e284.. sqr(3.85704114235832 - x311) + sqr(6.36674450874035 - x313)
        + 57.7951750598727*b101 =L= 58.7951750598727;

e285.. sqr(8.48963678940351 - x311) + sqr(5.48402210821562 - x313)
        + 102.926783859086*b102 =L= 103.926783859086;

e286.. sqr(6.03160481727421 - x311) + sqr(1.276552921829 - x313)
        + 118.75213232131*b103 =L= 119.75213232131;

e287.. sqr(6.90662266429413 - x311) + sqr(8.78931785429954 - x313)
        + 124.803091689871*b104 =L= 125.803091689871;

e288.. sqr(3.71078725250056 - x311) + sqr(4.66415664133948 - x313)
        + 57.9871322900609*b105 =L= 58.9871322900609;

e289.. sqr(0.107239833314705 - x311) + sqr(9.26202525440128 - x313)
        + 141.568883438575*b106 =L= 142.568883438575;

e290.. sqr(8.04739319923014 - x311) + sqr(3.59305161391794 - x313)
        + 114.695683175902*b107 =L= 115.695683175902;

e291.. sqr(5.28411061001579 - x311) + sqr(9.36648183133357 - x313)
        + 119.627996085735*b108 =L= 120.627996085735;

e292.. sqr(1.06171481272944 - x311) + sqr(3.65844432398946 - x313)
        + 107.656809348234*b109 =L= 108.656809348234;

e293.. sqr(9.05099582793631 - x311) + sqr(3.98215513024397 - x313)
        + 128.639684646565*b110 =L= 129.639684646565;

e294.. sqr(9.08772707393705 - x311) + sqr(3.01388234113091 - x313)
        + 141.568883438575*b111 =L= 142.568883438575;

e295.. sqr(8.83910845171846 - x311) + sqr(8.26686922455514 - x313)
        + 142.314787626056*b112 =L= 143.314787626056;

e296.. sqr(3.41090111187451 - x311) + sqr(6.48985541572597 - x313)
        + 57.6217041967589*b113 =L= 58.6217041967589;

e297.. sqr(1.22004189182266 - x311) + sqr(2.52276995748249 - x313)
        + 119.180496541755*b114 =L= 120.180496541755;

e298.. sqr(3.94802045665365 - x311) + sqr(6.40339456473198 - x313)
        + 58.8305966748386*b115 =L= 59.8305966748386;

e299.. sqr(4.9104301706676 - x311) + sqr(3.1538945754034 - x313)
        + 75.9207984013209*b116 =L= 76.9207984013209;

e300.. sqr(3.23176530143453 - x311) + sqr(7.03644502956294 - x313)
        + 64.8784745008497*b117 =L= 65.8784745008497;

e301.. sqr(0.39249886515424 - x311) + sqr(1.58871179600639 - x313)
        + 147.724006608004*b118 =L= 148.724006608004;

e302.. sqr(4.42690021019308 - x311) + sqr(8.74244441962606 - x313)
        + 100.918497950284*b119 =L= 101.918497950284;

e303.. sqr(2.59382124128511 - x311) + sqr(9.98780114819833 - x313)
        + 118.022029936783*b120 =L= 119.022029936783;

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.. sqr(2.84746945184196 - x315) + sqr(6.74779851669768 - x317)
        + 67.42707737338*b121 =L= 68.42707737338;

e306.. sqr(6.63261133839597 - x315) + sqr(7.58930814907984 - x317)
        + 100.27903396698*b122 =L= 101.27903396698;

e307.. sqr(2.78008351564232 - x315) + sqr(5.62089512941063 - x317)
        + 62.225162895805*b123 =L= 63.225162895805;

e308.. sqr(3.36345404799715 - x315) + sqr(5.61693710344635 - x317)
        + 54.3423498257743*b124 =L= 55.3423498257743;

e309.. sqr(1.46574263591158 - x315) + sqr(0.14249643071642 - x317)
        + 153.854418335954*b125 =L= 154.854418335954;

e310.. sqr(6.59824950993792 - x315) + sqr(1.91438252349491 - x317)
        + 115.729330039997*b126 =L= 116.729330039997;

e311.. sqr(2.02515523263325 - x315) + sqr(3.62141731303869 - x317)
        + 92.1830734090453*b127 =L= 93.1830734090453;

e312.. sqr(8.97152199819966 - x315) + sqr(8.78133845105015 - x317)
        + 153.854418335954*b128 =L= 154.854418335954;

e313.. sqr(1.87485423601802 - x315) + sqr(8.96274662253461 - x317)
        + 106.113667406259*b129 =L= 107.113667406259;

e314.. sqr(7.52025674966412 - x315) + sqr(8.80268658264247 - x317)
        + 132.789518443852*b130 =L= 133.789518443852;

e315.. sqr(3.85704114235832 - x315) + sqr(6.36674450874035 - x317)
        + 57.7951750598727*b131 =L= 58.7951750598727;

e316.. sqr(8.48963678940351 - x315) + sqr(5.48402210821562 - x317)
        + 102.926783859086*b132 =L= 103.926783859086;

e317.. sqr(6.03160481727421 - x315) + sqr(1.276552921829 - x317)
        + 118.75213232131*b133 =L= 119.75213232131;

e318.. sqr(6.90662266429413 - x315) + sqr(8.78931785429954 - x317)
        + 124.803091689871*b134 =L= 125.803091689871;

e319.. sqr(3.71078725250056 - x315) + sqr(4.66415664133948 - x317)
        + 57.9871322900609*b135 =L= 58.9871322900609;

e320.. sqr(0.107239833314705 - x315) + sqr(9.26202525440128 - x317)
        + 141.568883438575*b136 =L= 142.568883438575;

e321.. sqr(8.04739319923014 - x315) + sqr(3.59305161391794 - x317)
        + 114.695683175902*b137 =L= 115.695683175902;

e322.. sqr(5.28411061001579 - x315) + sqr(9.36648183133357 - x317)
        + 119.627996085735*b138 =L= 120.627996085735;

e323.. sqr(1.06171481272944 - x315) + sqr(3.65844432398946 - x317)
        + 107.656809348234*b139 =L= 108.656809348234;

e324.. sqr(9.05099582793631 - x315) + sqr(3.98215513024397 - x317)
        + 128.639684646565*b140 =L= 129.639684646565;

e325.. sqr(9.08772707393705 - x315) + sqr(3.01388234113091 - x317)
        + 141.568883438575*b141 =L= 142.568883438575;

e326.. sqr(8.83910845171846 - x315) + sqr(8.26686922455514 - x317)
        + 142.314787626056*b142 =L= 143.314787626056;

e327.. sqr(3.41090111187451 - x315) + sqr(6.48985541572597 - x317)
        + 57.6217041967589*b143 =L= 58.6217041967589;

e328.. sqr(1.22004189182266 - x315) + sqr(2.52276995748249 - x317)
        + 119.180496541755*b144 =L= 120.180496541755;

e329.. sqr(3.94802045665365 - x315) + sqr(6.40339456473198 - x317)
        + 58.8305966748386*b145 =L= 59.8305966748386;

e330.. sqr(4.9104301706676 - x315) + sqr(3.1538945754034 - x317)
        + 75.9207984013209*b146 =L= 76.9207984013209;

e331.. sqr(3.23176530143453 - x315) + sqr(7.03644502956294 - x317)
        + 64.8784745008497*b147 =L= 65.8784745008497;

e332.. sqr(0.39249886515424 - x315) + sqr(1.58871179600639 - x317)
        + 147.724006608004*b148 =L= 148.724006608004;

e333.. sqr(4.42690021019308 - x315) + sqr(8.74244441962606 - x317)
        + 100.918497950284*b149 =L= 101.918497950284;

e334.. sqr(2.59382124128511 - x315) + sqr(9.98780114819833 - x317)
        + 118.022029936783*b150 =L= 119.022029936783;

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.. sqr(2.84746945184196 - x319) + sqr(6.74779851669768 - x321)
        + 67.42707737338*b151 =L= 68.42707737338;

e337.. sqr(6.63261133839597 - x319) + sqr(7.58930814907984 - x321)
        + 100.27903396698*b152 =L= 101.27903396698;

e338.. sqr(2.78008351564232 - x319) + sqr(5.62089512941063 - x321)
        + 62.225162895805*b153 =L= 63.225162895805;

e339.. sqr(3.36345404799715 - x319) + sqr(5.61693710344635 - x321)
        + 54.3423498257743*b154 =L= 55.3423498257743;

e340.. sqr(1.46574263591158 - x319) + sqr(0.14249643071642 - x321)
        + 153.854418335954*b155 =L= 154.854418335954;

e341.. sqr(6.59824950993792 - x319) + sqr(1.91438252349491 - x321)
        + 115.729330039997*b156 =L= 116.729330039997;

e342.. sqr(2.02515523263325 - x319) + sqr(3.62141731303869 - x321)
        + 92.1830734090453*b157 =L= 93.1830734090453;

e343.. sqr(8.97152199819966 - x319) + sqr(8.78133845105015 - x321)
        + 153.854418335954*b158 =L= 154.854418335954;

e344.. sqr(1.87485423601802 - x319) + sqr(8.96274662253461 - x321)
        + 106.113667406259*b159 =L= 107.113667406259;

e345.. sqr(7.52025674966412 - x319) + sqr(8.80268658264247 - x321)
        + 132.789518443852*b160 =L= 133.789518443852;

e346.. sqr(3.85704114235832 - x319) + sqr(6.36674450874035 - x321)
        + 57.7951750598727*b161 =L= 58.7951750598727;

e347.. sqr(8.48963678940351 - x319) + sqr(5.48402210821562 - x321)
        + 102.926783859086*b162 =L= 103.926783859086;

e348.. sqr(6.03160481727421 - x319) + sqr(1.276552921829 - x321)
        + 118.75213232131*b163 =L= 119.75213232131;

e349.. sqr(6.90662266429413 - x319) + sqr(8.78931785429954 - x321)
        + 124.803091689871*b164 =L= 125.803091689871;

e350.. sqr(3.71078725250056 - x319) + sqr(4.66415664133948 - x321)
        + 57.9871322900609*b165 =L= 58.9871322900609;

e351.. sqr(0.107239833314705 - x319) + sqr(9.26202525440128 - x321)
        + 141.568883438575*b166 =L= 142.568883438575;

e352.. sqr(8.04739319923014 - x319) + sqr(3.59305161391794 - x321)
        + 114.695683175902*b167 =L= 115.695683175902;

e353.. sqr(5.28411061001579 - x319) + sqr(9.36648183133357 - x321)
        + 119.627996085735*b168 =L= 120.627996085735;

e354.. sqr(1.06171481272944 - x319) + sqr(3.65844432398946 - x321)
        + 107.656809348234*b169 =L= 108.656809348234;

e355.. sqr(9.05099582793631 - x319) + sqr(3.98215513024397 - x321)
        + 128.639684646565*b170 =L= 129.639684646565;

e356.. sqr(9.08772707393705 - x319) + sqr(3.01388234113091 - x321)
        + 141.568883438575*b171 =L= 142.568883438575;

e357.. sqr(8.83910845171846 - x319) + sqr(8.26686922455514 - x321)
        + 142.314787626056*b172 =L= 143.314787626056;

e358.. sqr(3.41090111187451 - x319) + sqr(6.48985541572597 - x321)
        + 57.6217041967589*b173 =L= 58.6217041967589;

e359.. sqr(1.22004189182266 - x319) + sqr(2.52276995748249 - x321)
        + 119.180496541755*b174 =L= 120.180496541755;

e360.. sqr(3.94802045665365 - x319) + sqr(6.40339456473198 - x321)
        + 58.8305966748386*b175 =L= 59.8305966748386;

e361.. sqr(4.9104301706676 - x319) + sqr(3.1538945754034 - x321)
        + 75.9207984013209*b176 =L= 76.9207984013209;

e362.. sqr(3.23176530143453 - x319) + sqr(7.03644502956294 - x321)
        + 64.8784745008497*b177 =L= 65.8784745008497;

e363.. sqr(0.39249886515424 - x319) + sqr(1.58871179600639 - x321)
        + 147.724006608004*b178 =L= 148.724006608004;

e364.. sqr(4.42690021019308 - x319) + sqr(8.74244441962606 - x321)
        + 100.918497950284*b179 =L= 101.918497950284;

e365.. sqr(2.59382124128511 - x319) + sqr(9.98780114819833 - x321)
        + 118.022029936783*b180 =L= 119.022029936783;

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.. sqr(2.84746945184196 - x323) + sqr(6.74779851669768 - x325)
        + 67.42707737338*b181 =L= 68.42707737338;

e368.. sqr(6.63261133839597 - x323) + sqr(7.58930814907984 - x325)
        + 100.27903396698*b182 =L= 101.27903396698;

e369.. sqr(2.78008351564232 - x323) + sqr(5.62089512941063 - x325)
        + 62.225162895805*b183 =L= 63.225162895805;

e370.. sqr(3.36345404799715 - x323) + sqr(5.61693710344635 - x325)
        + 54.3423498257743*b184 =L= 55.3423498257743;

e371.. sqr(1.46574263591158 - x323) + sqr(0.14249643071642 - x325)
        + 153.854418335954*b185 =L= 154.854418335954;

e372.. sqr(6.59824950993792 - x323) + sqr(1.91438252349491 - x325)
        + 115.729330039997*b186 =L= 116.729330039997;

e373.. sqr(2.02515523263325 - x323) + sqr(3.62141731303869 - x325)
        + 92.1830734090453*b187 =L= 93.1830734090453;

e374.. sqr(8.97152199819966 - x323) + sqr(8.78133845105015 - x325)
        + 153.854418335954*b188 =L= 154.854418335954;

e375.. sqr(1.87485423601802 - x323) + sqr(8.96274662253461 - x325)
        + 106.113667406259*b189 =L= 107.113667406259;

e376.. sqr(7.52025674966412 - x323) + sqr(8.80268658264247 - x325)
        + 132.789518443852*b190 =L= 133.789518443852;

e377.. sqr(3.85704114235832 - x323) + sqr(6.36674450874035 - x325)
        + 57.7951750598727*b191 =L= 58.7951750598727;

e378.. sqr(8.48963678940351 - x323) + sqr(5.48402210821562 - x325)
        + 102.926783859086*b192 =L= 103.926783859086;

e379.. sqr(6.03160481727421 - x323) + sqr(1.276552921829 - x325)
        + 118.75213232131*b193 =L= 119.75213232131;

e380.. sqr(6.90662266429413 - x323) + sqr(8.78931785429954 - x325)
        + 124.803091689871*b194 =L= 125.803091689871;

e381.. sqr(3.71078725250056 - x323) + sqr(4.66415664133948 - x325)
        + 57.9871322900609*b195 =L= 58.9871322900609;

e382.. sqr(0.107239833314705 - x323) + sqr(9.26202525440128 - x325)
        + 141.568883438575*b196 =L= 142.568883438575;

e383.. sqr(8.04739319923014 - x323) + sqr(3.59305161391794 - x325)
        + 114.695683175902*b197 =L= 115.695683175902;

e384.. sqr(5.28411061001579 - x323) + sqr(9.36648183133357 - x325)
        + 119.627996085735*b198 =L= 120.627996085735;

e385.. sqr(1.06171481272944 - x323) + sqr(3.65844432398946 - x325)
        + 107.656809348234*b199 =L= 108.656809348234;

e386.. sqr(9.05099582793631 - x323) + sqr(3.98215513024397 - x325)
        + 128.639684646565*b200 =L= 129.639684646565;

e387.. sqr(9.08772707393705 - x323) + sqr(3.01388234113091 - x325)
        + 141.568883438575*b201 =L= 142.568883438575;

e388.. sqr(8.83910845171846 - x323) + sqr(8.26686922455514 - x325)
        + 142.314787626056*b202 =L= 143.314787626056;

e389.. sqr(3.41090111187451 - x323) + sqr(6.48985541572597 - x325)
        + 57.6217041967589*b203 =L= 58.6217041967589;

e390.. sqr(1.22004189182266 - x323) + sqr(2.52276995748249 - x325)
        + 119.180496541755*b204 =L= 120.180496541755;

e391.. sqr(3.94802045665365 - x323) + sqr(6.40339456473198 - x325)
        + 58.8305966748386*b205 =L= 59.8305966748386;

e392.. sqr(4.9104301706676 - x323) + sqr(3.1538945754034 - x325)
        + 75.9207984013209*b206 =L= 76.9207984013209;

e393.. sqr(3.23176530143453 - x323) + sqr(7.03644502956294 - x325)
        + 64.8784745008497*b207 =L= 65.8784745008497;

e394.. sqr(0.39249886515424 - x323) + sqr(1.58871179600639 - x325)
        + 147.724006608004*b208 =L= 148.724006608004;

e395.. sqr(4.42690021019308 - x323) + sqr(8.74244441962606 - x325)
        + 100.918497950284*b209 =L= 101.918497950284;

e396.. sqr(2.59382124128511 - x323) + sqr(9.98780114819833 - x325)
        + 118.022029936783*b210 =L= 119.022029936783;

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.. sqr(2.84746945184196 - x327) + sqr(6.74779851669768 - x329)
        + 67.42707737338*b211 =L= 68.42707737338;

e399.. sqr(6.63261133839597 - x327) + sqr(7.58930814907984 - x329)
        + 100.27903396698*b212 =L= 101.27903396698;

e400.. sqr(2.78008351564232 - x327) + sqr(5.62089512941063 - x329)
        + 62.225162895805*b213 =L= 63.225162895805;

e401.. sqr(3.36345404799715 - x327) + sqr(5.61693710344635 - x329)
        + 54.3423498257743*b214 =L= 55.3423498257743;

e402.. sqr(1.46574263591158 - x327) + sqr(0.14249643071642 - x329)
        + 153.854418335954*b215 =L= 154.854418335954;

e403.. sqr(6.59824950993792 - x327) + sqr(1.91438252349491 - x329)
        + 115.729330039997*b216 =L= 116.729330039997;

e404.. sqr(2.02515523263325 - x327) + sqr(3.62141731303869 - x329)
        + 92.1830734090453*b217 =L= 93.1830734090453;

e405.. sqr(8.97152199819966 - x327) + sqr(8.78133845105015 - x329)
        + 153.854418335954*b218 =L= 154.854418335954;

e406.. sqr(1.87485423601802 - x327) + sqr(8.96274662253461 - x329)
        + 106.113667406259*b219 =L= 107.113667406259;

e407.. sqr(7.52025674966412 - x327) + sqr(8.80268658264247 - x329)
        + 132.789518443852*b220 =L= 133.789518443852;

e408.. sqr(3.85704114235832 - x327) + sqr(6.36674450874035 - x329)
        + 57.7951750598727*b221 =L= 58.7951750598727;

e409.. sqr(8.48963678940351 - x327) + sqr(5.48402210821562 - x329)
        + 102.926783859086*b222 =L= 103.926783859086;

e410.. sqr(6.03160481727421 - x327) + sqr(1.276552921829 - x329)
        + 118.75213232131*b223 =L= 119.75213232131;

e411.. sqr(6.90662266429413 - x327) + sqr(8.78931785429954 - x329)
        + 124.803091689871*b224 =L= 125.803091689871;

e412.. sqr(3.71078725250056 - x327) + sqr(4.66415664133948 - x329)
        + 57.9871322900609*b225 =L= 58.9871322900609;

e413.. sqr(0.107239833314705 - x327) + sqr(9.26202525440128 - x329)
        + 141.568883438575*b226 =L= 142.568883438575;

e414.. sqr(8.04739319923014 - x327) + sqr(3.59305161391794 - x329)
        + 114.695683175902*b227 =L= 115.695683175902;

e415.. sqr(5.28411061001579 - x327) + sqr(9.36648183133357 - x329)
        + 119.627996085735*b228 =L= 120.627996085735;

e416.. sqr(1.06171481272944 - x327) + sqr(3.65844432398946 - x329)
        + 107.656809348234*b229 =L= 108.656809348234;

e417.. sqr(9.05099582793631 - x327) + sqr(3.98215513024397 - x329)
        + 128.639684646565*b230 =L= 129.639684646565;

e418.. sqr(9.08772707393705 - x327) + sqr(3.01388234113091 - x329)
        + 141.568883438575*b231 =L= 142.568883438575;

e419.. sqr(8.83910845171846 - x327) + sqr(8.26686922455514 - x329)
        + 142.314787626056*b232 =L= 143.314787626056;

e420.. sqr(3.41090111187451 - x327) + sqr(6.48985541572597 - x329)
        + 57.6217041967589*b233 =L= 58.6217041967589;

e421.. sqr(1.22004189182266 - x327) + sqr(2.52276995748249 - x329)
        + 119.180496541755*b234 =L= 120.180496541755;

e422.. sqr(3.94802045665365 - x327) + sqr(6.40339456473198 - x329)
        + 58.8305966748386*b235 =L= 59.8305966748386;

e423.. sqr(4.9104301706676 - x327) + sqr(3.1538945754034 - x329)
        + 75.9207984013209*b236 =L= 76.9207984013209;

e424.. sqr(3.23176530143453 - x327) + sqr(7.03644502956294 - x329)
        + 64.8784745008497*b237 =L= 65.8784745008497;

e425.. sqr(0.39249886515424 - x327) + sqr(1.58871179600639 - x329)
        + 147.724006608004*b238 =L= 148.724006608004;

e426.. sqr(4.42690021019308 - x327) + sqr(8.74244441962606 - x329)
        + 100.918497950284*b239 =L= 101.918497950284;

e427.. sqr(2.59382124128511 - x327) + sqr(9.98780114819833 - x329)
        + 118.022029936783*b240 =L= 119.022029936783;

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.. sqr(2.84746945184196 - x331) + sqr(6.74779851669768 - x333)
        + 67.42707737338*b241 =L= 68.42707737338;

e430.. sqr(6.63261133839597 - x331) + sqr(7.58930814907984 - x333)
        + 100.27903396698*b242 =L= 101.27903396698;

e431.. sqr(2.78008351564232 - x331) + sqr(5.62089512941063 - x333)
        + 62.225162895805*b243 =L= 63.225162895805;

e432.. sqr(3.36345404799715 - x331) + sqr(5.61693710344635 - x333)
        + 54.3423498257743*b244 =L= 55.3423498257743;

e433.. sqr(1.46574263591158 - x331) + sqr(0.14249643071642 - x333)
        + 153.854418335954*b245 =L= 154.854418335954;

e434.. sqr(6.59824950993792 - x331) + sqr(1.91438252349491 - x333)
        + 115.729330039997*b246 =L= 116.729330039997;

e435.. sqr(2.02515523263325 - x331) + sqr(3.62141731303869 - x333)
        + 92.1830734090453*b247 =L= 93.1830734090453;

e436.. sqr(8.97152199819966 - x331) + sqr(8.78133845105015 - x333)
        + 153.854418335954*b248 =L= 154.854418335954;

e437.. sqr(1.87485423601802 - x331) + sqr(8.96274662253461 - x333)
        + 106.113667406259*b249 =L= 107.113667406259;

e438.. sqr(7.52025674966412 - x331) + sqr(8.80268658264247 - x333)
        + 132.789518443852*b250 =L= 133.789518443852;

e439.. sqr(3.85704114235832 - x331) + sqr(6.36674450874035 - x333)
        + 57.7951750598727*b251 =L= 58.7951750598727;

e440.. sqr(8.48963678940351 - x331) + sqr(5.48402210821562 - x333)
        + 102.926783859086*b252 =L= 103.926783859086;

e441.. sqr(6.03160481727421 - x331) + sqr(1.276552921829 - x333)
        + 118.75213232131*b253 =L= 119.75213232131;

e442.. sqr(6.90662266429413 - x331) + sqr(8.78931785429954 - x333)
        + 124.803091689871*b254 =L= 125.803091689871;

e443.. sqr(3.71078725250056 - x331) + sqr(4.66415664133948 - x333)
        + 57.9871322900609*b255 =L= 58.9871322900609;

e444.. sqr(0.107239833314705 - x331) + sqr(9.26202525440128 - x333)
        + 141.568883438575*b256 =L= 142.568883438575;

e445.. sqr(8.04739319923014 - x331) + sqr(3.59305161391794 - x333)
        + 114.695683175902*b257 =L= 115.695683175902;

e446.. sqr(5.28411061001579 - x331) + sqr(9.36648183133357 - x333)
        + 119.627996085735*b258 =L= 120.627996085735;

e447.. sqr(1.06171481272944 - x331) + sqr(3.65844432398946 - x333)
        + 107.656809348234*b259 =L= 108.656809348234;

e448.. sqr(9.05099582793631 - x331) + sqr(3.98215513024397 - x333)
        + 128.639684646565*b260 =L= 129.639684646565;

e449.. sqr(9.08772707393705 - x331) + sqr(3.01388234113091 - x333)
        + 141.568883438575*b261 =L= 142.568883438575;

e450.. sqr(8.83910845171846 - x331) + sqr(8.26686922455514 - x333)
        + 142.314787626056*b262 =L= 143.314787626056;

e451.. sqr(3.41090111187451 - x331) + sqr(6.48985541572597 - x333)
        + 57.6217041967589*b263 =L= 58.6217041967589;

e452.. sqr(1.22004189182266 - x331) + sqr(2.52276995748249 - x333)
        + 119.180496541755*b264 =L= 120.180496541755;

e453.. sqr(3.94802045665365 - x331) + sqr(6.40339456473198 - x333)
        + 58.8305966748386*b265 =L= 59.8305966748386;

e454.. sqr(4.9104301706676 - x331) + sqr(3.1538945754034 - x333)
        + 75.9207984013209*b266 =L= 76.9207984013209;

e455.. sqr(3.23176530143453 - x331) + sqr(7.03644502956294 - x333)
        + 64.8784745008497*b267 =L= 65.8784745008497;

e456.. sqr(0.39249886515424 - x331) + sqr(1.58871179600639 - x333)
        + 147.724006608004*b268 =L= 148.724006608004;

e457.. sqr(4.42690021019308 - x331) + sqr(8.74244441962606 - x333)
        + 100.918497950284*b269 =L= 101.918497950284;

e458.. sqr(2.59382124128511 - x331) + sqr(9.98780114819833 - x333)
        + 118.022029936783*b270 =L= 119.022029936783;

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.. sqr(2.84746945184196 - x335) + sqr(6.74779851669768 - x337)
        + 67.42707737338*b271 =L= 68.42707737338;

e461.. sqr(6.63261133839597 - x335) + sqr(7.58930814907984 - x337)
        + 100.27903396698*b272 =L= 101.27903396698;

e462.. sqr(2.78008351564232 - x335) + sqr(5.62089512941063 - x337)
        + 62.225162895805*b273 =L= 63.225162895805;

e463.. sqr(3.36345404799715 - x335) + sqr(5.61693710344635 - x337)
        + 54.3423498257743*b274 =L= 55.3423498257743;

e464.. sqr(1.46574263591158 - x335) + sqr(0.14249643071642 - x337)
        + 153.854418335954*b275 =L= 154.854418335954;

e465.. sqr(6.59824950993792 - x335) + sqr(1.91438252349491 - x337)
        + 115.729330039997*b276 =L= 116.729330039997;

e466.. sqr(2.02515523263325 - x335) + sqr(3.62141731303869 - x337)
        + 92.1830734090453*b277 =L= 93.1830734090453;

e467.. sqr(8.97152199819966 - x335) + sqr(8.78133845105015 - x337)
        + 153.854418335954*b278 =L= 154.854418335954;

e468.. sqr(1.87485423601802 - x335) + sqr(8.96274662253461 - x337)
        + 106.113667406259*b279 =L= 107.113667406259;

e469.. sqr(7.52025674966412 - x335) + sqr(8.80268658264247 - x337)
        + 132.789518443852*b280 =L= 133.789518443852;

e470.. sqr(3.85704114235832 - x335) + sqr(6.36674450874035 - x337)
        + 57.7951750598727*b281 =L= 58.7951750598727;

e471.. sqr(8.48963678940351 - x335) + sqr(5.48402210821562 - x337)
        + 102.926783859086*b282 =L= 103.926783859086;

e472.. sqr(6.03160481727421 - x335) + sqr(1.276552921829 - x337)
        + 118.75213232131*b283 =L= 119.75213232131;

e473.. sqr(6.90662266429413 - x335) + sqr(8.78931785429954 - x337)
        + 124.803091689871*b284 =L= 125.803091689871;

e474.. sqr(3.71078725250056 - x335) + sqr(4.66415664133948 - x337)
        + 57.9871322900609*b285 =L= 58.9871322900609;

e475.. sqr(0.107239833314705 - x335) + sqr(9.26202525440128 - x337)
        + 141.568883438575*b286 =L= 142.568883438575;

e476.. sqr(8.04739319923014 - x335) + sqr(3.59305161391794 - x337)
        + 114.695683175902*b287 =L= 115.695683175902;

e477.. sqr(5.28411061001579 - x335) + sqr(9.36648183133357 - x337)
        + 119.627996085735*b288 =L= 120.627996085735;

e478.. sqr(1.06171481272944 - x335) + sqr(3.65844432398946 - x337)
        + 107.656809348234*b289 =L= 108.656809348234;

e479.. sqr(9.05099582793631 - x335) + sqr(3.98215513024397 - x337)
        + 128.639684646565*b290 =L= 129.639684646565;

e480.. sqr(9.08772707393705 - x335) + sqr(3.01388234113091 - x337)
        + 141.568883438575*b291 =L= 142.568883438575;

e481.. sqr(8.83910845171846 - x335) + sqr(8.26686922455514 - x337)
        + 142.314787626056*b292 =L= 143.314787626056;

e482.. sqr(3.41090111187451 - x335) + sqr(6.48985541572597 - x337)
        + 57.6217041967589*b293 =L= 58.6217041967589;

e483.. sqr(1.22004189182266 - x335) + sqr(2.52276995748249 - x337)
        + 119.180496541755*b294 =L= 120.180496541755;

e484.. sqr(3.94802045665365 - x335) + sqr(6.40339456473198 - x337)
        + 58.8305966748386*b295 =L= 59.8305966748386;

e485.. sqr(4.9104301706676 - x335) + sqr(3.1538945754034 - x337)
        + 75.9207984013209*b296 =L= 76.9207984013209;

e486.. sqr(3.23176530143453 - x335) + sqr(7.03644502956294 - x337)
        + 64.8784745008497*b297 =L= 65.8784745008497;

e487.. sqr(0.39249886515424 - x335) + sqr(1.58871179600639 - x337)
        + 147.724006608004*b298 =L= 148.724006608004;

e488.. sqr(4.42690021019308 - x335) + sqr(8.74244441962606 - x337)
        + 100.918497950284*b299 =L= 101.918497950284;

e489.. sqr(2.59382124128511 - x335) + sqr(9.98780114819833 - x337)
        + 118.022029936783*b300 =L= 119.022029936783;

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 - x302 =L= 0;

e522..    x302 - x307 =L= 0;

e523..    x307 - x311 =L= 0;

e524..    x311 - x315 =L= 0;

e525..    x315 - x319 =L= 0;

e526..    x319 - x323 =L= 0;

e527..    x323 - x327 =L= 0;

e528..    x327 - x331 =L= 0;

e529..    x331 - x335 =L= 0;

e530..  - 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;

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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