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A Library of Mixed-Integer and Continuous Nonlinear Programming Instances

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Instance p_ball_30b_5p_2d_h

Select 5-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)
0.29162941 p1 ( gdx sol )
(infeas: 5e-11)
Other points (infeas > 1e-08)  
Dual Bounds
0.28940099 (ALPHAECP)
0.29162941 (ANTIGONE)
0.29160412 (BARON)
0.29162939 (BONMIN)
0.29159836 (COUENNE)
0.00000000 (LINDO)
0.29162615 (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_5p_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 480
#Binary Variables 150
#Integer Variables 0
#Nonlinear Variables 450
#Nonlinear Binary Variables 150
#Nonlinear Integer Variables 0
Objective Sense min
Objective type linear
Objective curvature linear
#Nonzeros in Objective 20
#Nonlinear Nonzeros in Objective 0
#Constraints 539
#Linear Constraints 389
#Quadratic Constraints 0
#Polynomial Constraints 0
#Signomial Constraints 0
#General Nonlinear Constraints 150
Operands in Gen. Nonlin. Functions div mul sqr
Constraints curvature convex
#Nonzeros in Jacobian 1788
#Nonlinear Nonzeros in Jacobian 450
#Nonzeros in (Upper-Left) Hessian of Lagrangian 1050
#Nonzeros in Diagonal of Hessian of Lagrangian 450
#Blocks in Hessian of Lagrangian 150
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
*        540       16        0      524        0        0        0        0
*  
*  Variable counts
*                   x        b        i      s1s      s2s       sc       si
*      Total     cont   binary  integer     sos1     sos2    scont     sint
*        481      331      150        0        0        0        0        0
*  FX      0
*  
*  Nonzero counts
*      Total    const       NL      DLL
*       1809     1359      450        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,x151,x152,x153,x154,x155
          ,x156,x157,x158,x159,x160,x161,x162,x163,x164,x165,x166,x167,x168
          ,x169,x170,x171,x172,x173,x174,x175,x176,x177,x178,x179,x180,x181
          ,x182,x183,x184,x185,x186,x187,x188,x189,x190,x191,x192,x193,x194
          ,x195,x196,x197,x198,x199,x200,x201,x202,x203,x204,x205,x206,x207
          ,x208,x209,x210,x211,x212,x213,x214,x215,x216,x217,x218,x219,x220
          ,x221,x222,x223,x224,x225,x226,x227,x228,x229,x230,x231,x232,x233
          ,x234,x235,x236,x237,x238,x239,x240,x241,x242,x243,x244,x245,x246
          ,x247,x248,x249,x250,x251,x252,x253,x254,x255,x256,x257,x258,x259
          ,x260,x261,x262,x263,x264,x265,x266,x267,x268,x269,x270,x271,x272
          ,x273,x274,x275,x276,x277,x278,x279,x280,x281,x282,x283,x284,x285
          ,x286,x287,x288,x289,x290,x291,x292,x293,x294,x295,x296,x297,x298
          ,x299,x300,x301,x302,x303,x304,x305,x306,x307,x308,x309,x310,x311
          ,x312,x313,x314,x315,x316,x317,x318,x319,x320,x321,x322,x323,x324
          ,x325,x326,x327,x328,x329,x330,x331,x332,x333,x334,x335,x336,x337
          ,x338,x339,x340,x341,x342,x343,x344,x345,x346,x347,x348,x349,x350
          ,x351,x352,x353,x354,x355,x356,x357,x358,x359,x360,x361,x362,x363
          ,x364,x365,x366,x367,x368,x369,x370,x371,x372,x373,x374,x375,x376
          ,x377,x378,x379,x380,x381,x382,x383,x384,x385,x386,x387,x388,x389
          ,x390,x391,x392,x393,x394,x395,x396,x397,x398,x399,x400,x401,x402
          ,x403,x404,x405,x406,x407,x408,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
          ,objvar;

Positive Variables  x151,x152,x153,x154,x155,x156,x157,x158,x159,x160,x161
          ,x162,x163,x164,x165,x166,x167,x168,x169,x170,x171,x172,x173,x174
          ,x175,x176,x177,x178,x179,x180,x181,x182,x183,x184,x185,x186,x187
          ,x188,x189,x190,x191,x192,x193,x194,x195,x196,x197,x198,x199,x200
          ,x201,x202,x203,x204,x205,x206,x207,x208,x209,x210,x211,x212,x213
          ,x214,x215,x216,x217,x218,x219,x220,x221,x222,x223,x224,x225,x226
          ,x227,x228,x229,x230,x231,x232,x233,x234,x235,x236,x237,x238,x239
          ,x240,x241,x242,x243,x244,x245,x246,x247,x248,x249,x250,x251,x252
          ,x253,x254,x255,x256,x257,x258,x259,x260,x261,x262,x263,x264,x265
          ,x266,x267,x268,x269,x270,x271,x272,x273,x274,x275,x276,x277,x278
          ,x279,x280,x281,x282,x283,x284,x285,x286,x287,x288,x289,x290,x291
          ,x292,x293,x294,x295,x296,x297,x298,x299,x300,x301,x302,x303,x304
          ,x305,x306,x307,x308,x309,x310,x311,x312,x313,x314,x315,x316,x317
          ,x318,x319,x320,x321,x322,x323,x324,x325,x326,x327,x328,x329,x330
          ,x331,x332,x333,x334,x335,x336,x337,x338,x339,x340,x341,x342,x343
          ,x344,x345,x346,x347,x348,x349,x350,x351,x352,x353,x354,x355,x356
          ,x357,x358,x359,x360,x361,x362,x363,x364,x365,x366,x367,x368,x369
          ,x370,x371,x372,x373,x374,x375,x376,x377,x378,x379,x380,x381,x382
          ,x383,x384,x385,x386,x387,x388,x389,x390,x391,x392,x393,x394,x395
          ,x396,x397,x398,x399,x400,x401,x402,x403,x404,x405,x406,x407,x408
          ,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;

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;

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


e1..    x151 - x152 - x153 =L= 0;

e2..  - x151 + x152 - x153 =L= 0;

e3..    x154 - x155 - x156 =L= 0;

e4..  - x154 + x155 - x156 =L= 0;

e5..    x151 - x157 - x158 =L= 0;

e6..  - x151 + x157 - x158 =L= 0;

e7..    x154 - x159 - x160 =L= 0;

e8..  - x154 + x159 - x160 =L= 0;

e9..    x151 - x161 - x162 =L= 0;

e10..  - x151 + x161 - x162 =L= 0;

e11..    x154 - x163 - x164 =L= 0;

e12..  - x154 + x163 - x164 =L= 0;

e13..    x151 - x165 - x166 =L= 0;

e14..  - x151 + x165 - x166 =L= 0;

e15..    x154 - x167 - x168 =L= 0;

e16..  - x154 + x167 - x168 =L= 0;

e17..    x152 - x157 - x169 =L= 0;

e18..  - x152 + x157 - x169 =L= 0;

e19..    x155 - x159 - x170 =L= 0;

e20..  - x155 + x159 - x170 =L= 0;

e21..    x152 - x161 - x171 =L= 0;

e22..  - x152 + x161 - x171 =L= 0;

e23..    x155 - x163 - x172 =L= 0;

e24..  - x155 + x163 - x172 =L= 0;

e25..    x152 - x165 - x173 =L= 0;

e26..  - x152 + x165 - x173 =L= 0;

e27..    x155 - x167 - x174 =L= 0;

e28..  - x155 + x167 - x174 =L= 0;

e29..    x157 - x161 - x175 =L= 0;

e30..  - x157 + x161 - x175 =L= 0;

e31..    x159 - x163 - x176 =L= 0;

e32..  - x159 + x163 - x176 =L= 0;

e33..    x157 - x165 - x177 =L= 0;

e34..  - x157 + x165 - x177 =L= 0;

e35..    x159 - x167 - x178 =L= 0;

e36..  - x159 + x167 - x178 =L= 0;

e37..    x161 - x165 - x179 =L= 0;

e38..  - x161 + x165 - x179 =L= 0;

e39..    x163 - x167 - x180 =L= 0;

e40..  - x163 + x167 - x180 =L= 0;

e41.. (-1 + sqr(3.58392835071893 - x181/(0.0001 + 0.9999*b1)) + sqr(
      0.44370753979378 - x182/(0.0001 + 0.9999*b1)))*(0.0001 + 0.9999*b1) + 
      0.00120414188039568*b1 =L= 0.00120414188039568;

e42.. (-1 + sqr(1.95628884344 - x183/(0.0001 + 0.9999*b2)) + sqr(
      0.390503036650278 - x184/(0.0001 + 0.9999*b2)))*(0.0001 + 0.9999*b2) + 
      0.000297955866060091*b2 =L= 0.000297955866060091;

e43.. (-1 + sqr(4.55035690490668 - x185/(0.0001 + 0.9999*b3)) + sqr(
      7.27185840240323 - x186/(0.0001 + 0.9999*b3)))*(0.0001 + 0.9999*b3) + 
      0.00725856725866343*b3 =L= 0.00725856725866343;

e44.. (-1 + sqr(6.2100872388646 - x187/(0.0001 + 0.9999*b4)) + sqr(
      6.48745936675473 - x188/(0.0001 + 0.9999*b4)))*(0.0001 + 0.9999*b4) + 
      0.00796523125496027*b4 =L= 0.00796523125496027;

e45.. (-1 + sqr(3.1786343207553 - x189/(0.0001 + 0.9999*b5)) + sqr(
      2.35630065859291 - x190/(0.0001 + 0.9999*b5)))*(0.0001 + 0.9999*b5) + 
      0.00146558689387689*b5 =L= 0.00146558689387689;

e46.. (-1 + sqr(2.77208272832737 - x191/(0.0001 + 0.9999*b6)) + sqr(
      6.63537019621518 - x192/(0.0001 + 0.9999*b6)))*(0.0001 + 0.9999*b6) + 
      0.00507125802935116*b6 =L= 0.00507125802935116;

e47.. (-1 + sqr(5.05196451835929 - x193/(0.0001 + 0.9999*b7)) + sqr(
      9.78029757859562 - x194/(0.0001 + 0.9999*b7)))*(0.0001 + 0.9999*b7) + 
      0.0120176566220645*b7 =L= 0.0120176566220645;

e48.. (-1 + sqr(4.91358831690657 - x195/(0.0001 + 0.9999*b8)) + sqr(
      9.95200766490468 - x196/(0.0001 + 0.9999*b8)))*(0.0001 + 0.9999*b8) + 
      0.0122185806710362*b8 =L= 0.0122185806710362;

e49.. (-1 + sqr(1.82270973029123 - x197/(0.0001 + 0.9999*b9)) + sqr(
      3.08924661212034 - x198/(0.0001 + 0.9999*b9)))*(0.0001 + 0.9999*b9) + 
      0.00118657153913953*b9 =L= 0.00118657153913953;

e50.. (-1 + sqr(8.90416070287928 - x199/(0.0001 + 0.9999*b10)) + sqr(
      8.76903198117563 - x200/(0.0001 + 0.9999*b10)))*(0.0001 + 0.9999*b10) + 
      0.0155179999709581*b10 =L= 0.0155179999709581;

e51.. (-1 + sqr(9.55691722438547 - x201/(0.0001 + 0.9999*b11)) + sqr(
      7.67982230145412 - x202/(0.0001 + 0.9999*b11)))*(0.0001 + 0.9999*b11) + 
      0.0149314337415668*b11 =L= 0.0149314337415668;

e52.. (-1 + sqr(5.63154215917614 - x203/(0.0001 + 0.9999*b12)) + sqr(
      5.19669129629487 - x204/(0.0001 + 0.9999*b12)))*(0.0001 + 0.9999*b12) + 
      0.00577198675195651*b12 =L= 0.00577198675195651;

e53.. (-1 + sqr(1.22506785607057 - x205/(0.0001 + 0.9999*b13)) + sqr(
      1.73643838760701 - x206/(0.0001 + 0.9999*b13)))*(0.0001 + 0.9999*b13) + 
      0.000351600952593256*b13 =L= 0.000351600952593256;

e54.. (-1 + sqr(3.56742024375224 - x207/(0.0001 + 0.9999*b14)) + sqr(
      9.67716416398758 - x208/(0.0001 + 0.9999*b14)))*(0.0001 + 0.9999*b14) + 
      0.0105373993452299*b14 =L= 0.0105373993452299;

e55.. (-1 + sqr(6.4469689992634 - x209/(0.0001 + 0.9999*b15)) + sqr(
      3.27001587839258 - x210/(0.0001 + 0.9999*b15)))*(0.0001 + 0.9999*b15) + 
      0.00512564131224029*b15 =L= 0.00512564131224029;

e56.. (-1 + sqr(6.10753237542196 - x211/(0.0001 + 0.9999*b16)) + sqr(
      4.19206922588061 - x212/(0.0001 + 0.9999*b16)))*(0.0001 + 0.9999*b16) + 
      0.00538753961114027*b16 =L= 0.00538753961114027;

e57.. (-1 + sqr(3.65877473332061 - x213/(0.0001 + 0.9999*b17)) + sqr(
      3.63421268850839 - x214/(0.0001 + 0.9999*b17)))*(0.0001 + 0.9999*b17) + 
      0.00255941344145007*b17 =L= 0.00255941344145007;

e58.. (-1 + sqr(1.2178860076098 - x215/(0.0001 + 0.9999*b18)) + sqr(
      2.16125505734127 - x216/(0.0001 + 0.9999*b18)))*(0.0001 + 0.9999*b18) + 
      0.000515426975041496*b18 =L= 0.000515426975041496;

e59.. (-1 + sqr(0.592074869235123 - x217/(0.0001 + 0.9999*b19)) + sqr(
      4.93671199500253 - x218/(0.0001 + 0.9999*b19)))*(0.0001 + 0.9999*b19) + 
      0.00237216779723816*b19 =L= 0.00237216779723816;

e60.. (-1 + sqr(6.7402850724876 - x219/(0.0001 + 0.9999*b20)) + sqr(
      1.57064570718754 - x220/(0.0001 + 0.9999*b20)))*(0.0001 + 0.9999*b20) + 
      0.00468983707959058*b20 =L= 0.00468983707959058;

e61.. (-1 + sqr(4.86197880938116 - x221/(0.0001 + 0.9999*b21)) + sqr(
      0.383551455477691 - x222/(0.0001 + 0.9999*b21)))*(0.0001 + 0.9999*b21) + 
      0.00227859496618705*b21 =L= 0.00227859496618705;

e62.. (-1 + sqr(1.8799102211015 - x223/(0.0001 + 0.9999*b22)) + sqr(
      8.11097800063776 - x224/(0.0001 + 0.9999*b22)))*(0.0001 + 0.9999*b22) + 
      0.00683220265662317*b22 =L= 0.00683220265662317;

e63.. (-1 + sqr(7.64684982583741 - x225/(0.0001 + 0.9999*b23)) + sqr(
      0.420960467093494 - x226/(0.0001 + 0.9999*b23)))*(0.0001 + 0.9999*b23) + 
      0.00576515199737652*b23 =L= 0.00576515199737652;

e64.. (-1 + sqr(3.86587305838289 - x227/(0.0001 + 0.9999*b24)) + sqr(
      3.43289089140431 - x228/(0.0001 + 0.9999*b24)))*(0.0001 + 0.9999*b24) + 
      0.00257297143758174*b24 =L= 0.00257297143758174;

e65.. (-1 + sqr(1.93085934314818 - x229/(0.0001 + 0.9999*b25)) + sqr(
      3.48739999687651 - x230/(0.0001 + 0.9999*b25)))*(0.0001 + 0.9999*b25) + 
      0.00148901765412369*b25 =L= 0.00148901765412369;

e66.. (-1 + sqr(8.14411066658926 - x231/(0.0001 + 0.9999*b26)) + sqr(
      3.28390698782521 - x232/(0.0001 + 0.9999*b26)))*(0.0001 + 0.9999*b26) + 
      0.00761105836543402*b26 =L= 0.00761105836543402;

e67.. (-1 + sqr(3.92781648828775 - x233/(0.0001 + 0.9999*b27)) + sqr(
      4.5879692218008 - x234/(0.0001 + 0.9999*b27)))*(0.0001 + 0.9999*b27) + 
      0.00354772039458565*b27 =L= 0.00354772039458565;

e68.. (-1 + sqr(9.43530528332928 - x235/(0.0001 + 0.9999*b28)) + sqr(
      6.2115811426888 - x236/(0.0001 + 0.9999*b28)))*(0.0001 + 0.9999*b28) + 
      0.0126608726081829*b28 =L= 0.0126608726081829;

e69.. (-1 + sqr(5.94277300911337 - x237/(0.0001 + 0.9999*b29)) + sqr(
      2.72126258813597 - x238/(0.0001 + 0.9999*b29)))*(0.0001 + 0.9999*b29) + 
      0.00417218211114348*b29 =L= 0.00417218211114348;

e70.. (-1 + sqr(0.272938801260022 - x239/(0.0001 + 0.9999*b30)) + sqr(
      9.52106324081905 - x240/(0.0001 + 0.9999*b30)))*(0.0001 + 0.9999*b30) + 
      0.00897251408249091*b30 =L= 0.00897251408249091;

e71..    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;

e72.. (-1 + sqr(3.58392835071893 - x241/(0.0001 + 0.9999*b31)) + sqr(
      0.44370753979378 - x242/(0.0001 + 0.9999*b31)))*(0.0001 + 0.9999*b31) + 
      0.00120414188039568*b31 =L= 0.00120414188039568;

e73.. (-1 + sqr(1.95628884344 - x243/(0.0001 + 0.9999*b32)) + sqr(
      0.390503036650278 - x244/(0.0001 + 0.9999*b32)))*(0.0001 + 0.9999*b32) + 
      0.000297955866060091*b32 =L= 0.000297955866060091;

e74.. (-1 + sqr(4.55035690490668 - x245/(0.0001 + 0.9999*b33)) + sqr(
      7.27185840240323 - x246/(0.0001 + 0.9999*b33)))*(0.0001 + 0.9999*b33) + 
      0.00725856725866343*b33 =L= 0.00725856725866343;

e75.. (-1 + sqr(6.2100872388646 - x247/(0.0001 + 0.9999*b34)) + sqr(
      6.48745936675473 - x248/(0.0001 + 0.9999*b34)))*(0.0001 + 0.9999*b34) + 
      0.00796523125496027*b34 =L= 0.00796523125496027;

e76.. (-1 + sqr(3.1786343207553 - x249/(0.0001 + 0.9999*b35)) + sqr(
      2.35630065859291 - x250/(0.0001 + 0.9999*b35)))*(0.0001 + 0.9999*b35) + 
      0.00146558689387689*b35 =L= 0.00146558689387689;

e77.. (-1 + sqr(2.77208272832737 - x251/(0.0001 + 0.9999*b36)) + sqr(
      6.63537019621518 - x252/(0.0001 + 0.9999*b36)))*(0.0001 + 0.9999*b36) + 
      0.00507125802935116*b36 =L= 0.00507125802935116;

e78.. (-1 + sqr(5.05196451835929 - x253/(0.0001 + 0.9999*b37)) + sqr(
      9.78029757859562 - x254/(0.0001 + 0.9999*b37)))*(0.0001 + 0.9999*b37) + 
      0.0120176566220645*b37 =L= 0.0120176566220645;

e79.. (-1 + sqr(4.91358831690657 - x255/(0.0001 + 0.9999*b38)) + sqr(
      9.95200766490468 - x256/(0.0001 + 0.9999*b38)))*(0.0001 + 0.9999*b38) + 
      0.0122185806710362*b38 =L= 0.0122185806710362;

e80.. (-1 + sqr(1.82270973029123 - x257/(0.0001 + 0.9999*b39)) + sqr(
      3.08924661212034 - x258/(0.0001 + 0.9999*b39)))*(0.0001 + 0.9999*b39) + 
      0.00118657153913953*b39 =L= 0.00118657153913953;

e81.. (-1 + sqr(8.90416070287928 - x259/(0.0001 + 0.9999*b40)) + sqr(
      8.76903198117563 - x260/(0.0001 + 0.9999*b40)))*(0.0001 + 0.9999*b40) + 
      0.0155179999709581*b40 =L= 0.0155179999709581;

e82.. (-1 + sqr(9.55691722438547 - x261/(0.0001 + 0.9999*b41)) + sqr(
      7.67982230145412 - x262/(0.0001 + 0.9999*b41)))*(0.0001 + 0.9999*b41) + 
      0.0149314337415668*b41 =L= 0.0149314337415668;

e83.. (-1 + sqr(5.63154215917614 - x263/(0.0001 + 0.9999*b42)) + sqr(
      5.19669129629487 - x264/(0.0001 + 0.9999*b42)))*(0.0001 + 0.9999*b42) + 
      0.00577198675195651*b42 =L= 0.00577198675195651;

e84.. (-1 + sqr(1.22506785607057 - x265/(0.0001 + 0.9999*b43)) + sqr(
      1.73643838760701 - x266/(0.0001 + 0.9999*b43)))*(0.0001 + 0.9999*b43) + 
      0.000351600952593256*b43 =L= 0.000351600952593256;

e85.. (-1 + sqr(3.56742024375224 - x267/(0.0001 + 0.9999*b44)) + sqr(
      9.67716416398758 - x268/(0.0001 + 0.9999*b44)))*(0.0001 + 0.9999*b44) + 
      0.0105373993452299*b44 =L= 0.0105373993452299;

e86.. (-1 + sqr(6.4469689992634 - x269/(0.0001 + 0.9999*b45)) + sqr(
      3.27001587839258 - x270/(0.0001 + 0.9999*b45)))*(0.0001 + 0.9999*b45) + 
      0.00512564131224029*b45 =L= 0.00512564131224029;

e87.. (-1 + sqr(6.10753237542196 - x271/(0.0001 + 0.9999*b46)) + sqr(
      4.19206922588061 - x272/(0.0001 + 0.9999*b46)))*(0.0001 + 0.9999*b46) + 
      0.00538753961114027*b46 =L= 0.00538753961114027;

e88.. (-1 + sqr(3.65877473332061 - x273/(0.0001 + 0.9999*b47)) + sqr(
      3.63421268850839 - x274/(0.0001 + 0.9999*b47)))*(0.0001 + 0.9999*b47) + 
      0.00255941344145007*b47 =L= 0.00255941344145007;

e89.. (-1 + sqr(1.2178860076098 - x275/(0.0001 + 0.9999*b48)) + sqr(
      2.16125505734127 - x276/(0.0001 + 0.9999*b48)))*(0.0001 + 0.9999*b48) + 
      0.000515426975041496*b48 =L= 0.000515426975041496;

e90.. (-1 + sqr(0.592074869235123 - x277/(0.0001 + 0.9999*b49)) + sqr(
      4.93671199500253 - x278/(0.0001 + 0.9999*b49)))*(0.0001 + 0.9999*b49) + 
      0.00237216779723816*b49 =L= 0.00237216779723816;

e91.. (-1 + sqr(6.7402850724876 - x279/(0.0001 + 0.9999*b50)) + sqr(
      1.57064570718754 - x280/(0.0001 + 0.9999*b50)))*(0.0001 + 0.9999*b50) + 
      0.00468983707959058*b50 =L= 0.00468983707959058;

e92.. (-1 + sqr(4.86197880938116 - x281/(0.0001 + 0.9999*b51)) + sqr(
      0.383551455477691 - x282/(0.0001 + 0.9999*b51)))*(0.0001 + 0.9999*b51) + 
      0.00227859496618705*b51 =L= 0.00227859496618705;

e93.. (-1 + sqr(1.8799102211015 - x283/(0.0001 + 0.9999*b52)) + sqr(
      8.11097800063776 - x284/(0.0001 + 0.9999*b52)))*(0.0001 + 0.9999*b52) + 
      0.00683220265662317*b52 =L= 0.00683220265662317;

e94.. (-1 + sqr(7.64684982583741 - x285/(0.0001 + 0.9999*b53)) + sqr(
      0.420960467093494 - x286/(0.0001 + 0.9999*b53)))*(0.0001 + 0.9999*b53) + 
      0.00576515199737652*b53 =L= 0.00576515199737652;

e95.. (-1 + sqr(3.86587305838289 - x287/(0.0001 + 0.9999*b54)) + sqr(
      3.43289089140431 - x288/(0.0001 + 0.9999*b54)))*(0.0001 + 0.9999*b54) + 
      0.00257297143758174*b54 =L= 0.00257297143758174;

e96.. (-1 + sqr(1.93085934314818 - x289/(0.0001 + 0.9999*b55)) + sqr(
      3.48739999687651 - x290/(0.0001 + 0.9999*b55)))*(0.0001 + 0.9999*b55) + 
      0.00148901765412369*b55 =L= 0.00148901765412369;

e97.. (-1 + sqr(8.14411066658926 - x291/(0.0001 + 0.9999*b56)) + sqr(
      3.28390698782521 - x292/(0.0001 + 0.9999*b56)))*(0.0001 + 0.9999*b56) + 
      0.00761105836543402*b56 =L= 0.00761105836543402;

e98.. (-1 + sqr(3.92781648828775 - x293/(0.0001 + 0.9999*b57)) + sqr(
      4.5879692218008 - x294/(0.0001 + 0.9999*b57)))*(0.0001 + 0.9999*b57) + 
      0.00354772039458565*b57 =L= 0.00354772039458565;

e99.. (-1 + sqr(9.43530528332928 - x295/(0.0001 + 0.9999*b58)) + sqr(
      6.2115811426888 - x296/(0.0001 + 0.9999*b58)))*(0.0001 + 0.9999*b58) + 
      0.0126608726081829*b58 =L= 0.0126608726081829;

e100.. (-1 + sqr(5.94277300911337 - x297/(0.0001 + 0.9999*b59)) + sqr(
       2.72126258813597 - x298/(0.0001 + 0.9999*b59)))*(0.0001 + 0.9999*b59) + 
       0.00417218211114348*b59 =L= 0.00417218211114348;

e101.. (-1 + sqr(0.272938801260022 - x299/(0.0001 + 0.9999*b60)) + sqr(
       9.52106324081905 - x300/(0.0001 + 0.9999*b60)))*(0.0001 + 0.9999*b60) + 
       0.00897251408249091*b60 =L= 0.00897251408249091;

e102..    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;

e103.. (-1 + sqr(3.58392835071893 - x301/(0.0001 + 0.9999*b61)) + sqr(
       0.44370753979378 - x302/(0.0001 + 0.9999*b61)))*(0.0001 + 0.9999*b61) + 
       0.00120414188039568*b61 =L= 0.00120414188039568;

e104.. (-1 + sqr(1.95628884344 - x303/(0.0001 + 0.9999*b62)) + sqr(
       0.390503036650278 - x304/(0.0001 + 0.9999*b62)))*(0.0001 + 0.9999*b62)
        + 0.000297955866060091*b62 =L= 0.000297955866060091;

e105.. (-1 + sqr(4.55035690490668 - x305/(0.0001 + 0.9999*b63)) + sqr(
       7.27185840240323 - x306/(0.0001 + 0.9999*b63)))*(0.0001 + 0.9999*b63) + 
       0.00725856725866343*b63 =L= 0.00725856725866343;

e106.. (-1 + sqr(6.2100872388646 - x307/(0.0001 + 0.9999*b64)) + sqr(
       6.48745936675473 - x308/(0.0001 + 0.9999*b64)))*(0.0001 + 0.9999*b64) + 
       0.00796523125496027*b64 =L= 0.00796523125496027;

e107.. (-1 + sqr(3.1786343207553 - x309/(0.0001 + 0.9999*b65)) + sqr(
       2.35630065859291 - x310/(0.0001 + 0.9999*b65)))*(0.0001 + 0.9999*b65) + 
       0.00146558689387689*b65 =L= 0.00146558689387689;

e108.. (-1 + sqr(2.77208272832737 - x311/(0.0001 + 0.9999*b66)) + sqr(
       6.63537019621518 - x312/(0.0001 + 0.9999*b66)))*(0.0001 + 0.9999*b66) + 
       0.00507125802935116*b66 =L= 0.00507125802935116;

e109.. (-1 + sqr(5.05196451835929 - x313/(0.0001 + 0.9999*b67)) + sqr(
       9.78029757859562 - x314/(0.0001 + 0.9999*b67)))*(0.0001 + 0.9999*b67) + 
       0.0120176566220645*b67 =L= 0.0120176566220645;

e110.. (-1 + sqr(4.91358831690657 - x315/(0.0001 + 0.9999*b68)) + sqr(
       9.95200766490468 - x316/(0.0001 + 0.9999*b68)))*(0.0001 + 0.9999*b68) + 
       0.0122185806710362*b68 =L= 0.0122185806710362;

e111.. (-1 + sqr(1.82270973029123 - x317/(0.0001 + 0.9999*b69)) + sqr(
       3.08924661212034 - x318/(0.0001 + 0.9999*b69)))*(0.0001 + 0.9999*b69) + 
       0.00118657153913953*b69 =L= 0.00118657153913953;

e112.. (-1 + sqr(8.90416070287928 - x319/(0.0001 + 0.9999*b70)) + sqr(
       8.76903198117563 - x320/(0.0001 + 0.9999*b70)))*(0.0001 + 0.9999*b70) + 
       0.0155179999709581*b70 =L= 0.0155179999709581;

e113.. (-1 + sqr(9.55691722438547 - x321/(0.0001 + 0.9999*b71)) + sqr(
       7.67982230145412 - x322/(0.0001 + 0.9999*b71)))*(0.0001 + 0.9999*b71) + 
       0.0149314337415668*b71 =L= 0.0149314337415668;

e114.. (-1 + sqr(5.63154215917614 - x323/(0.0001 + 0.9999*b72)) + sqr(
       5.19669129629487 - x324/(0.0001 + 0.9999*b72)))*(0.0001 + 0.9999*b72) + 
       0.00577198675195651*b72 =L= 0.00577198675195651;

e115.. (-1 + sqr(1.22506785607057 - x325/(0.0001 + 0.9999*b73)) + sqr(
       1.73643838760701 - x326/(0.0001 + 0.9999*b73)))*(0.0001 + 0.9999*b73) + 
       0.000351600952593256*b73 =L= 0.000351600952593256;

e116.. (-1 + sqr(3.56742024375224 - x327/(0.0001 + 0.9999*b74)) + sqr(
       9.67716416398758 - x328/(0.0001 + 0.9999*b74)))*(0.0001 + 0.9999*b74) + 
       0.0105373993452299*b74 =L= 0.0105373993452299;

e117.. (-1 + sqr(6.4469689992634 - x329/(0.0001 + 0.9999*b75)) + sqr(
       3.27001587839258 - x330/(0.0001 + 0.9999*b75)))*(0.0001 + 0.9999*b75) + 
       0.00512564131224029*b75 =L= 0.00512564131224029;

e118.. (-1 + sqr(6.10753237542196 - x331/(0.0001 + 0.9999*b76)) + sqr(
       4.19206922588061 - x332/(0.0001 + 0.9999*b76)))*(0.0001 + 0.9999*b76) + 
       0.00538753961114027*b76 =L= 0.00538753961114027;

e119.. (-1 + sqr(3.65877473332061 - x333/(0.0001 + 0.9999*b77)) + sqr(
       3.63421268850839 - x334/(0.0001 + 0.9999*b77)))*(0.0001 + 0.9999*b77) + 
       0.00255941344145007*b77 =L= 0.00255941344145007;

e120.. (-1 + sqr(1.2178860076098 - x335/(0.0001 + 0.9999*b78)) + sqr(
       2.16125505734127 - x336/(0.0001 + 0.9999*b78)))*(0.0001 + 0.9999*b78) + 
       0.000515426975041496*b78 =L= 0.000515426975041496;

e121.. (-1 + sqr(0.592074869235123 - x337/(0.0001 + 0.9999*b79)) + sqr(
       4.93671199500253 - x338/(0.0001 + 0.9999*b79)))*(0.0001 + 0.9999*b79) + 
       0.00237216779723816*b79 =L= 0.00237216779723816;

e122.. (-1 + sqr(6.7402850724876 - x339/(0.0001 + 0.9999*b80)) + sqr(
       1.57064570718754 - x340/(0.0001 + 0.9999*b80)))*(0.0001 + 0.9999*b80) + 
       0.00468983707959058*b80 =L= 0.00468983707959058;

e123.. (-1 + sqr(4.86197880938116 - x341/(0.0001 + 0.9999*b81)) + sqr(
       0.383551455477691 - x342/(0.0001 + 0.9999*b81)))*(0.0001 + 0.9999*b81)
        + 0.00227859496618705*b81 =L= 0.00227859496618705;

e124.. (-1 + sqr(1.8799102211015 - x343/(0.0001 + 0.9999*b82)) + sqr(
       8.11097800063776 - x344/(0.0001 + 0.9999*b82)))*(0.0001 + 0.9999*b82) + 
       0.00683220265662317*b82 =L= 0.00683220265662317;

e125.. (-1 + sqr(7.64684982583741 - x345/(0.0001 + 0.9999*b83)) + sqr(
       0.420960467093494 - x346/(0.0001 + 0.9999*b83)))*(0.0001 + 0.9999*b83)
        + 0.00576515199737652*b83 =L= 0.00576515199737652;

e126.. (-1 + sqr(3.86587305838289 - x347/(0.0001 + 0.9999*b84)) + sqr(
       3.43289089140431 - x348/(0.0001 + 0.9999*b84)))*(0.0001 + 0.9999*b84) + 
       0.00257297143758174*b84 =L= 0.00257297143758174;

e127.. (-1 + sqr(1.93085934314818 - x349/(0.0001 + 0.9999*b85)) + sqr(
       3.48739999687651 - x350/(0.0001 + 0.9999*b85)))*(0.0001 + 0.9999*b85) + 
       0.00148901765412369*b85 =L= 0.00148901765412369;

e128.. (-1 + sqr(8.14411066658926 - x351/(0.0001 + 0.9999*b86)) + sqr(
       3.28390698782521 - x352/(0.0001 + 0.9999*b86)))*(0.0001 + 0.9999*b86) + 
       0.00761105836543402*b86 =L= 0.00761105836543402;

e129.. (-1 + sqr(3.92781648828775 - x353/(0.0001 + 0.9999*b87)) + sqr(
       4.5879692218008 - x354/(0.0001 + 0.9999*b87)))*(0.0001 + 0.9999*b87) + 
       0.00354772039458565*b87 =L= 0.00354772039458565;

e130.. (-1 + sqr(9.43530528332928 - x355/(0.0001 + 0.9999*b88)) + sqr(
       6.2115811426888 - x356/(0.0001 + 0.9999*b88)))*(0.0001 + 0.9999*b88) + 
       0.0126608726081829*b88 =L= 0.0126608726081829;

e131.. (-1 + sqr(5.94277300911337 - x357/(0.0001 + 0.9999*b89)) + sqr(
       2.72126258813597 - x358/(0.0001 + 0.9999*b89)))*(0.0001 + 0.9999*b89) + 
       0.00417218211114348*b89 =L= 0.00417218211114348;

e132.. (-1 + sqr(0.272938801260022 - x359/(0.0001 + 0.9999*b90)) + sqr(
       9.52106324081905 - x360/(0.0001 + 0.9999*b90)))*(0.0001 + 0.9999*b90) + 
       0.00897251408249091*b90 =L= 0.00897251408249091;

e133..    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;

e134.. (-1 + sqr(3.58392835071893 - x361/(0.0001 + 0.9999*b91)) + sqr(
       0.44370753979378 - x362/(0.0001 + 0.9999*b91)))*(0.0001 + 0.9999*b91) + 
       0.00120414188039568*b91 =L= 0.00120414188039568;

e135.. (-1 + sqr(1.95628884344 - x363/(0.0001 + 0.9999*b92)) + sqr(
       0.390503036650278 - x364/(0.0001 + 0.9999*b92)))*(0.0001 + 0.9999*b92)
        + 0.000297955866060091*b92 =L= 0.000297955866060091;

e136.. (-1 + sqr(4.55035690490668 - x365/(0.0001 + 0.9999*b93)) + sqr(
       7.27185840240323 - x366/(0.0001 + 0.9999*b93)))*(0.0001 + 0.9999*b93) + 
       0.00725856725866343*b93 =L= 0.00725856725866343;

e137.. (-1 + sqr(6.2100872388646 - x367/(0.0001 + 0.9999*b94)) + sqr(
       6.48745936675473 - x368/(0.0001 + 0.9999*b94)))*(0.0001 + 0.9999*b94) + 
       0.00796523125496027*b94 =L= 0.00796523125496027;

e138.. (-1 + sqr(3.1786343207553 - x369/(0.0001 + 0.9999*b95)) + sqr(
       2.35630065859291 - x370/(0.0001 + 0.9999*b95)))*(0.0001 + 0.9999*b95) + 
       0.00146558689387689*b95 =L= 0.00146558689387689;

e139.. (-1 + sqr(2.77208272832737 - x371/(0.0001 + 0.9999*b96)) + sqr(
       6.63537019621518 - x372/(0.0001 + 0.9999*b96)))*(0.0001 + 0.9999*b96) + 
       0.00507125802935116*b96 =L= 0.00507125802935116;

e140.. (-1 + sqr(5.05196451835929 - x373/(0.0001 + 0.9999*b97)) + sqr(
       9.78029757859562 - x374/(0.0001 + 0.9999*b97)))*(0.0001 + 0.9999*b97) + 
       0.0120176566220645*b97 =L= 0.0120176566220645;

e141.. (-1 + sqr(4.91358831690657 - x375/(0.0001 + 0.9999*b98)) + sqr(
       9.95200766490468 - x376/(0.0001 + 0.9999*b98)))*(0.0001 + 0.9999*b98) + 
       0.0122185806710362*b98 =L= 0.0122185806710362;

e142.. (-1 + sqr(1.82270973029123 - x377/(0.0001 + 0.9999*b99)) + sqr(
       3.08924661212034 - x378/(0.0001 + 0.9999*b99)))*(0.0001 + 0.9999*b99) + 
       0.00118657153913953*b99 =L= 0.00118657153913953;

e143.. (-1 + sqr(8.90416070287928 - x379/(0.0001 + 0.9999*b100)) + sqr(
       8.76903198117563 - x380/(0.0001 + 0.9999*b100)))*(0.0001 + 0.9999*b100)
        + 0.0155179999709581*b100 =L= 0.0155179999709581;

e144.. (-1 + sqr(9.55691722438547 - x381/(0.0001 + 0.9999*b101)) + sqr(
       7.67982230145412 - x382/(0.0001 + 0.9999*b101)))*(0.0001 + 0.9999*b101)
        + 0.0149314337415668*b101 =L= 0.0149314337415668;

e145.. (-1 + sqr(5.63154215917614 - x383/(0.0001 + 0.9999*b102)) + sqr(
       5.19669129629487 - x384/(0.0001 + 0.9999*b102)))*(0.0001 + 0.9999*b102)
        + 0.00577198675195651*b102 =L= 0.00577198675195651;

e146.. (-1 + sqr(1.22506785607057 - x385/(0.0001 + 0.9999*b103)) + sqr(
       1.73643838760701 - x386/(0.0001 + 0.9999*b103)))*(0.0001 + 0.9999*b103)
        + 0.000351600952593256*b103 =L= 0.000351600952593256;

e147.. (-1 + sqr(3.56742024375224 - x387/(0.0001 + 0.9999*b104)) + sqr(
       9.67716416398758 - x388/(0.0001 + 0.9999*b104)))*(0.0001 + 0.9999*b104)
        + 0.0105373993452299*b104 =L= 0.0105373993452299;

e148.. (-1 + sqr(6.4469689992634 - x389/(0.0001 + 0.9999*b105)) + sqr(
       3.27001587839258 - x390/(0.0001 + 0.9999*b105)))*(0.0001 + 0.9999*b105)
        + 0.00512564131224029*b105 =L= 0.00512564131224029;

e149.. (-1 + sqr(6.10753237542196 - x391/(0.0001 + 0.9999*b106)) + sqr(
       4.19206922588061 - x392/(0.0001 + 0.9999*b106)))*(0.0001 + 0.9999*b106)
        + 0.00538753961114027*b106 =L= 0.00538753961114027;

e150.. (-1 + sqr(3.65877473332061 - x393/(0.0001 + 0.9999*b107)) + sqr(
       3.63421268850839 - x394/(0.0001 + 0.9999*b107)))*(0.0001 + 0.9999*b107)
        + 0.00255941344145007*b107 =L= 0.00255941344145007;

e151.. (-1 + sqr(1.2178860076098 - x395/(0.0001 + 0.9999*b108)) + sqr(
       2.16125505734127 - x396/(0.0001 + 0.9999*b108)))*(0.0001 + 0.9999*b108)
        + 0.000515426975041496*b108 =L= 0.000515426975041496;

e152.. (-1 + sqr(0.592074869235123 - x397/(0.0001 + 0.9999*b109)) + sqr(
       4.93671199500253 - x398/(0.0001 + 0.9999*b109)))*(0.0001 + 0.9999*b109)
        + 0.00237216779723816*b109 =L= 0.00237216779723816;

e153.. (-1 + sqr(6.7402850724876 - x399/(0.0001 + 0.9999*b110)) + sqr(
       1.57064570718754 - x400/(0.0001 + 0.9999*b110)))*(0.0001 + 0.9999*b110)
        + 0.00468983707959058*b110 =L= 0.00468983707959058;

e154.. (-1 + sqr(4.86197880938116 - x401/(0.0001 + 0.9999*b111)) + sqr(
       0.383551455477691 - x402/(0.0001 + 0.9999*b111)))*(0.0001 + 0.9999*b111)
        + 0.00227859496618705*b111 =L= 0.00227859496618705;

e155.. (-1 + sqr(1.8799102211015 - x403/(0.0001 + 0.9999*b112)) + sqr(
       8.11097800063776 - x404/(0.0001 + 0.9999*b112)))*(0.0001 + 0.9999*b112)
        + 0.00683220265662317*b112 =L= 0.00683220265662317;

e156.. (-1 + sqr(7.64684982583741 - x405/(0.0001 + 0.9999*b113)) + sqr(
       0.420960467093494 - x406/(0.0001 + 0.9999*b113)))*(0.0001 + 0.9999*b113)
        + 0.00576515199737652*b113 =L= 0.00576515199737652;

e157.. (-1 + sqr(3.86587305838289 - x407/(0.0001 + 0.9999*b114)) + sqr(
       3.43289089140431 - x408/(0.0001 + 0.9999*b114)))*(0.0001 + 0.9999*b114)
        + 0.00257297143758174*b114 =L= 0.00257297143758174;

e158.. (-1 + sqr(1.93085934314818 - x409/(0.0001 + 0.9999*b115)) + sqr(
       3.48739999687651 - x410/(0.0001 + 0.9999*b115)))*(0.0001 + 0.9999*b115)
        + 0.00148901765412369*b115 =L= 0.00148901765412369;

e159.. (-1 + sqr(8.14411066658926 - x411/(0.0001 + 0.9999*b116)) + sqr(
       3.28390698782521 - x412/(0.0001 + 0.9999*b116)))*(0.0001 + 0.9999*b116)
        + 0.00761105836543402*b116 =L= 0.00761105836543402;

e160.. (-1 + sqr(3.92781648828775 - x413/(0.0001 + 0.9999*b117)) + sqr(
       4.5879692218008 - x414/(0.0001 + 0.9999*b117)))*(0.0001 + 0.9999*b117)
        + 0.00354772039458565*b117 =L= 0.00354772039458565;

e161.. (-1 + sqr(9.43530528332928 - x415/(0.0001 + 0.9999*b118)) + sqr(
       6.2115811426888 - x416/(0.0001 + 0.9999*b118)))*(0.0001 + 0.9999*b118)
        + 0.0126608726081829*b118 =L= 0.0126608726081829;

e162.. (-1 + sqr(5.94277300911337 - x417/(0.0001 + 0.9999*b119)) + sqr(
       2.72126258813597 - x418/(0.0001 + 0.9999*b119)))*(0.0001 + 0.9999*b119)
        + 0.00417218211114348*b119 =L= 0.00417218211114348;

e163.. (-1 + sqr(0.272938801260022 - x419/(0.0001 + 0.9999*b120)) + sqr(
       9.52106324081905 - x420/(0.0001 + 0.9999*b120)))*(0.0001 + 0.9999*b120)
        + 0.00897251408249091*b120 =L= 0.00897251408249091;

e164..    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;

e165.. (-1 + sqr(3.58392835071893 - x421/(0.0001 + 0.9999*b121)) + sqr(
       0.44370753979378 - x422/(0.0001 + 0.9999*b121)))*(0.0001 + 0.9999*b121)
        + 0.00120414188039568*b121 =L= 0.00120414188039568;

e166.. (-1 + sqr(1.95628884344 - x423/(0.0001 + 0.9999*b122)) + sqr(
       0.390503036650278 - x424/(0.0001 + 0.9999*b122)))*(0.0001 + 0.9999*b122)
        + 0.000297955866060091*b122 =L= 0.000297955866060091;

e167.. (-1 + sqr(4.55035690490668 - x425/(0.0001 + 0.9999*b123)) + sqr(
       7.27185840240323 - x426/(0.0001 + 0.9999*b123)))*(0.0001 + 0.9999*b123)
        + 0.00725856725866343*b123 =L= 0.00725856725866343;

e168.. (-1 + sqr(6.2100872388646 - x427/(0.0001 + 0.9999*b124)) + sqr(
       6.48745936675473 - x428/(0.0001 + 0.9999*b124)))*(0.0001 + 0.9999*b124)
        + 0.00796523125496027*b124 =L= 0.00796523125496027;

e169.. (-1 + sqr(3.1786343207553 - x429/(0.0001 + 0.9999*b125)) + sqr(
       2.35630065859291 - x430/(0.0001 + 0.9999*b125)))*(0.0001 + 0.9999*b125)
        + 0.00146558689387689*b125 =L= 0.00146558689387689;

e170.. (-1 + sqr(2.77208272832737 - x431/(0.0001 + 0.9999*b126)) + sqr(
       6.63537019621518 - x432/(0.0001 + 0.9999*b126)))*(0.0001 + 0.9999*b126)
        + 0.00507125802935116*b126 =L= 0.00507125802935116;

e171.. (-1 + sqr(5.05196451835929 - x433/(0.0001 + 0.9999*b127)) + sqr(
       9.78029757859562 - x434/(0.0001 + 0.9999*b127)))*(0.0001 + 0.9999*b127)
        + 0.0120176566220645*b127 =L= 0.0120176566220645;

e172.. (-1 + sqr(4.91358831690657 - x435/(0.0001 + 0.9999*b128)) + sqr(
       9.95200766490468 - x436/(0.0001 + 0.9999*b128)))*(0.0001 + 0.9999*b128)
        + 0.0122185806710362*b128 =L= 0.0122185806710362;

e173.. (-1 + sqr(1.82270973029123 - x437/(0.0001 + 0.9999*b129)) + sqr(
       3.08924661212034 - x438/(0.0001 + 0.9999*b129)))*(0.0001 + 0.9999*b129)
        + 0.00118657153913953*b129 =L= 0.00118657153913953;

e174.. (-1 + sqr(8.90416070287928 - x439/(0.0001 + 0.9999*b130)) + sqr(
       8.76903198117563 - x440/(0.0001 + 0.9999*b130)))*(0.0001 + 0.9999*b130)
        + 0.0155179999709581*b130 =L= 0.0155179999709581;

e175.. (-1 + sqr(9.55691722438547 - x441/(0.0001 + 0.9999*b131)) + sqr(
       7.67982230145412 - x442/(0.0001 + 0.9999*b131)))*(0.0001 + 0.9999*b131)
        + 0.0149314337415668*b131 =L= 0.0149314337415668;

e176.. (-1 + sqr(5.63154215917614 - x443/(0.0001 + 0.9999*b132)) + sqr(
       5.19669129629487 - x444/(0.0001 + 0.9999*b132)))*(0.0001 + 0.9999*b132)
        + 0.00577198675195651*b132 =L= 0.00577198675195651;

e177.. (-1 + sqr(1.22506785607057 - x445/(0.0001 + 0.9999*b133)) + sqr(
       1.73643838760701 - x446/(0.0001 + 0.9999*b133)))*(0.0001 + 0.9999*b133)
        + 0.000351600952593256*b133 =L= 0.000351600952593256;

e178.. (-1 + sqr(3.56742024375224 - x447/(0.0001 + 0.9999*b134)) + sqr(
       9.67716416398758 - x448/(0.0001 + 0.9999*b134)))*(0.0001 + 0.9999*b134)
        + 0.0105373993452299*b134 =L= 0.0105373993452299;

e179.. (-1 + sqr(6.4469689992634 - x449/(0.0001 + 0.9999*b135)) + sqr(
       3.27001587839258 - x450/(0.0001 + 0.9999*b135)))*(0.0001 + 0.9999*b135)
        + 0.00512564131224029*b135 =L= 0.00512564131224029;

e180.. (-1 + sqr(6.10753237542196 - x451/(0.0001 + 0.9999*b136)) + sqr(
       4.19206922588061 - x452/(0.0001 + 0.9999*b136)))*(0.0001 + 0.9999*b136)
        + 0.00538753961114027*b136 =L= 0.00538753961114027;

e181.. (-1 + sqr(3.65877473332061 - x453/(0.0001 + 0.9999*b137)) + sqr(
       3.63421268850839 - x454/(0.0001 + 0.9999*b137)))*(0.0001 + 0.9999*b137)
        + 0.00255941344145007*b137 =L= 0.00255941344145007;

e182.. (-1 + sqr(1.2178860076098 - x455/(0.0001 + 0.9999*b138)) + sqr(
       2.16125505734127 - x456/(0.0001 + 0.9999*b138)))*(0.0001 + 0.9999*b138)
        + 0.000515426975041496*b138 =L= 0.000515426975041496;

e183.. (-1 + sqr(0.592074869235123 - x457/(0.0001 + 0.9999*b139)) + sqr(
       4.93671199500253 - x458/(0.0001 + 0.9999*b139)))*(0.0001 + 0.9999*b139)
        + 0.00237216779723816*b139 =L= 0.00237216779723816;

e184.. (-1 + sqr(6.7402850724876 - x459/(0.0001 + 0.9999*b140)) + sqr(
       1.57064570718754 - x460/(0.0001 + 0.9999*b140)))*(0.0001 + 0.9999*b140)
        + 0.00468983707959058*b140 =L= 0.00468983707959058;

e185.. (-1 + sqr(4.86197880938116 - x461/(0.0001 + 0.9999*b141)) + sqr(
       0.383551455477691 - x462/(0.0001 + 0.9999*b141)))*(0.0001 + 0.9999*b141)
        + 0.00227859496618705*b141 =L= 0.00227859496618705;

e186.. (-1 + sqr(1.8799102211015 - x463/(0.0001 + 0.9999*b142)) + sqr(
       8.11097800063776 - x464/(0.0001 + 0.9999*b142)))*(0.0001 + 0.9999*b142)
        + 0.00683220265662317*b142 =L= 0.00683220265662317;

e187.. (-1 + sqr(7.64684982583741 - x465/(0.0001 + 0.9999*b143)) + sqr(
       0.420960467093494 - x466/(0.0001 + 0.9999*b143)))*(0.0001 + 0.9999*b143)
        + 0.00576515199737652*b143 =L= 0.00576515199737652;

e188.. (-1 + sqr(3.86587305838289 - x467/(0.0001 + 0.9999*b144)) + sqr(
       3.43289089140431 - x468/(0.0001 + 0.9999*b144)))*(0.0001 + 0.9999*b144)
        + 0.00257297143758174*b144 =L= 0.00257297143758174;

e189.. (-1 + sqr(1.93085934314818 - x469/(0.0001 + 0.9999*b145)) + sqr(
       3.48739999687651 - x470/(0.0001 + 0.9999*b145)))*(0.0001 + 0.9999*b145)
        + 0.00148901765412369*b145 =L= 0.00148901765412369;

e190.. (-1 + sqr(8.14411066658926 - x471/(0.0001 + 0.9999*b146)) + sqr(
       3.28390698782521 - x472/(0.0001 + 0.9999*b146)))*(0.0001 + 0.9999*b146)
        + 0.00761105836543402*b146 =L= 0.00761105836543402;

e191.. (-1 + sqr(3.92781648828775 - x473/(0.0001 + 0.9999*b147)) + sqr(
       4.5879692218008 - x474/(0.0001 + 0.9999*b147)))*(0.0001 + 0.9999*b147)
        + 0.00354772039458565*b147 =L= 0.00354772039458565;

e192.. (-1 + sqr(9.43530528332928 - x475/(0.0001 + 0.9999*b148)) + sqr(
       6.2115811426888 - x476/(0.0001 + 0.9999*b148)))*(0.0001 + 0.9999*b148)
        + 0.0126608726081829*b148 =L= 0.0126608726081829;

e193.. (-1 + sqr(5.94277300911337 - x477/(0.0001 + 0.9999*b149)) + sqr(
       2.72126258813597 - x478/(0.0001 + 0.9999*b149)))*(0.0001 + 0.9999*b149)
        + 0.00417218211114348*b149 =L= 0.00417218211114348;

e194.. (-1 + sqr(0.272938801260022 - x479/(0.0001 + 0.9999*b150)) + sqr(
       9.52106324081905 - x480/(0.0001 + 0.9999*b150)))*(0.0001 + 0.9999*b150)
        + 0.00897251408249091*b150 =L= 0.00897251408249091;

e195..    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;

e196..    b1 + b31 + b61 + b91 + b121 =L= 1;

e197..    b2 + b32 + b62 + b92 + b122 =L= 1;

e198..    b3 + b33 + b63 + b93 + b123 =L= 1;

e199..    b4 + b34 + b64 + b94 + b124 =L= 1;

e200..    b5 + b35 + b65 + b95 + b125 =L= 1;

e201..    b6 + b36 + b66 + b96 + b126 =L= 1;

e202..    b7 + b37 + b67 + b97 + b127 =L= 1;

e203..    b8 + b38 + b68 + b98 + b128 =L= 1;

e204..    b9 + b39 + b69 + b99 + b129 =L= 1;

e205..    b10 + b40 + b70 + b100 + b130 =L= 1;

e206..    b11 + b41 + b71 + b101 + b131 =L= 1;

e207..    b12 + b42 + b72 + b102 + b132 =L= 1;

e208..    b13 + b43 + b73 + b103 + b133 =L= 1;

e209..    b14 + b44 + b74 + b104 + b134 =L= 1;

e210..    b15 + b45 + b75 + b105 + b135 =L= 1;

e211..    b16 + b46 + b76 + b106 + b136 =L= 1;

e212..    b17 + b47 + b77 + b107 + b137 =L= 1;

e213..    b18 + b48 + b78 + b108 + b138 =L= 1;

e214..    b19 + b49 + b79 + b109 + b139 =L= 1;

e215..    b20 + b50 + b80 + b110 + b140 =L= 1;

e216..    b21 + b51 + b81 + b111 + b141 =L= 1;

e217..    b22 + b52 + b82 + b112 + b142 =L= 1;

e218..    b23 + b53 + b83 + b113 + b143 =L= 1;

e219..    b24 + b54 + b84 + b114 + b144 =L= 1;

e220..    b25 + b55 + b85 + b115 + b145 =L= 1;

e221..    b26 + b56 + b86 + b116 + b146 =L= 1;

e222..    b27 + b57 + b87 + b117 + b147 =L= 1;

e223..    b28 + b58 + b88 + b118 + b148 =L= 1;

e224..    b29 + b59 + b89 + b119 + b149 =L= 1;

e225..    b30 + b60 + b90 + b120 + b150 =L= 1;

e226..  - x151 + x181 + x183 + x185 + x187 + x189 + x191 + x193 + x195 + x197
        + x199 + x201 + x203 + x205 + x207 + x209 + x211 + x213 + x215 + x217
        + x219 + x221 + x223 + x225 + x227 + x229 + x231 + x233 + x235 + x237
        + x239 =E= 0;

e227..  - x154 + x182 + x184 + x186 + x188 + x190 + x192 + x194 + x196 + x198
        + x200 + x202 + x204 + x206 + x208 + x210 + x212 + x214 + x216 + x218
        + x220 + x222 + x224 + x226 + x228 + x230 + x232 + x234 + x236 + x238
        + x240 =E= 0;

e228..  - x152 + x241 + x243 + x245 + x247 + x249 + x251 + x253 + x255 + x257
        + x259 + x261 + x263 + x265 + x267 + x269 + x271 + x273 + x275 + x277
        + x279 + x281 + x283 + x285 + x287 + x289 + x291 + x293 + x295 + x297
        + x299 =E= 0;

e229..  - x155 + x242 + x244 + x246 + x248 + x250 + x252 + x254 + x256 + x258
        + x260 + x262 + x264 + x266 + x268 + x270 + x272 + x274 + x276 + x278
        + x280 + x282 + x284 + x286 + x288 + x290 + x292 + x294 + x296 + x298
        + x300 =E= 0;

e230..  - x157 + x301 + x303 + x305 + x307 + x309 + x311 + x313 + x315 + x317
        + x319 + x321 + x323 + x325 + x327 + x329 + x331 + x333 + x335 + x337
        + x339 + x341 + x343 + x345 + x347 + x349 + x351 + x353 + x355 + x357
        + x359 =E= 0;

e231..  - x159 + x302 + x304 + x306 + x308 + x310 + x312 + x314 + x316 + x318
        + x320 + x322 + x324 + x326 + x328 + x330 + x332 + x334 + x336 + x338
        + x340 + x342 + x344 + x346 + x348 + x350 + x352 + x354 + x356 + x358
        + x360 =E= 0;

e232..  - x161 + x361 + x363 + x365 + x367 + x369 + x371 + x373 + x375 + x377
        + x379 + x381 + x383 + x385 + x387 + x389 + x391 + x393 + x395 + x397
        + x399 + x401 + x403 + x405 + x407 + x409 + x411 + x413 + x415 + x417
        + x419 =E= 0;

e233..  - x163 + x362 + x364 + x366 + x368 + x370 + x372 + x374 + x376 + x378
        + x380 + x382 + x384 + x386 + x388 + x390 + x392 + x394 + x396 + x398
        + x400 + x402 + x404 + x406 + x408 + x410 + x412 + x414 + x416 + x418
        + x420 =E= 0;

e234..  - x165 + 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 + x471 + x473 + x475 + x477
        + x479 =E= 0;

e235..  - x167 + 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 + x472 + x474 + x476 + x478
        + x480 =E= 0;

e236..  - 10*b1 + x181 =L= 0;

e237..  - 10*b2 + x183 =L= 0;

e238..  - 10*b3 + x185 =L= 0;

e239..  - 10*b4 + x187 =L= 0;

e240..  - 10*b5 + x189 =L= 0;

e241..  - 10*b6 + x191 =L= 0;

e242..  - 10*b7 + x193 =L= 0;

e243..  - 10*b8 + x195 =L= 0;

e244..  - 10*b9 + x197 =L= 0;

e245..  - 10*b10 + x199 =L= 0;

e246..  - 10*b11 + x201 =L= 0;

e247..  - 10*b12 + x203 =L= 0;

e248..  - 10*b13 + x205 =L= 0;

e249..  - 10*b14 + x207 =L= 0;

e250..  - 10*b15 + x209 =L= 0;

e251..  - 10*b16 + x211 =L= 0;

e252..  - 10*b17 + x213 =L= 0;

e253..  - 10*b18 + x215 =L= 0;

e254..  - 10*b19 + x217 =L= 0;

e255..  - 10*b20 + x219 =L= 0;

e256..  - 10*b21 + x221 =L= 0;

e257..  - 10*b22 + x223 =L= 0;

e258..  - 10*b23 + x225 =L= 0;

e259..  - 10*b24 + x227 =L= 0;

e260..  - 10*b25 + x229 =L= 0;

e261..  - 10*b26 + x231 =L= 0;

e262..  - 10*b27 + x233 =L= 0;

e263..  - 10*b28 + x235 =L= 0;

e264..  - 10*b29 + x237 =L= 0;

e265..  - 10*b30 + x239 =L= 0;

e266..  - 10*b1 + x182 =L= 0;

e267..  - 10*b2 + x184 =L= 0;

e268..  - 10*b3 + x186 =L= 0;

e269..  - 10*b4 + x188 =L= 0;

e270..  - 10*b5 + x190 =L= 0;

e271..  - 10*b6 + x192 =L= 0;

e272..  - 10*b7 + x194 =L= 0;

e273..  - 10*b8 + x196 =L= 0;

e274..  - 10*b9 + x198 =L= 0;

e275..  - 10*b10 + x200 =L= 0;

e276..  - 10*b11 + x202 =L= 0;

e277..  - 10*b12 + x204 =L= 0;

e278..  - 10*b13 + x206 =L= 0;

e279..  - 10*b14 + x208 =L= 0;

e280..  - 10*b15 + x210 =L= 0;

e281..  - 10*b16 + x212 =L= 0;

e282..  - 10*b17 + x214 =L= 0;

e283..  - 10*b18 + x216 =L= 0;

e284..  - 10*b19 + x218 =L= 0;

e285..  - 10*b20 + x220 =L= 0;

e286..  - 10*b21 + x222 =L= 0;

e287..  - 10*b22 + x224 =L= 0;

e288..  - 10*b23 + x226 =L= 0;

e289..  - 10*b24 + x228 =L= 0;

e290..  - 10*b25 + x230 =L= 0;

e291..  - 10*b26 + x232 =L= 0;

e292..  - 10*b27 + x234 =L= 0;

e293..  - 10*b28 + x236 =L= 0;

e294..  - 10*b29 + x238 =L= 0;

e295..  - 10*b30 + x240 =L= 0;

e296..  - 10*b31 + x241 =L= 0;

e297..  - 10*b32 + x243 =L= 0;

e298..  - 10*b33 + x245 =L= 0;

e299..  - 10*b34 + x247 =L= 0;

e300..  - 10*b35 + x249 =L= 0;

e301..  - 10*b36 + x251 =L= 0;

e302..  - 10*b37 + x253 =L= 0;

e303..  - 10*b38 + x255 =L= 0;

e304..  - 10*b39 + x257 =L= 0;

e305..  - 10*b40 + x259 =L= 0;

e306..  - 10*b41 + x261 =L= 0;

e307..  - 10*b42 + x263 =L= 0;

e308..  - 10*b43 + x265 =L= 0;

e309..  - 10*b44 + x267 =L= 0;

e310..  - 10*b45 + x269 =L= 0;

e311..  - 10*b46 + x271 =L= 0;

e312..  - 10*b47 + x273 =L= 0;

e313..  - 10*b48 + x275 =L= 0;

e314..  - 10*b49 + x277 =L= 0;

e315..  - 10*b50 + x279 =L= 0;

e316..  - 10*b51 + x281 =L= 0;

e317..  - 10*b52 + x283 =L= 0;

e318..  - 10*b53 + x285 =L= 0;

e319..  - 10*b54 + x287 =L= 0;

e320..  - 10*b55 + x289 =L= 0;

e321..  - 10*b56 + x291 =L= 0;

e322..  - 10*b57 + x293 =L= 0;

e323..  - 10*b58 + x295 =L= 0;

e324..  - 10*b59 + x297 =L= 0;

e325..  - 10*b60 + x299 =L= 0;

e326..  - 10*b31 + x242 =L= 0;

e327..  - 10*b32 + x244 =L= 0;

e328..  - 10*b33 + x246 =L= 0;

e329..  - 10*b34 + x248 =L= 0;

e330..  - 10*b35 + x250 =L= 0;

e331..  - 10*b36 + x252 =L= 0;

e332..  - 10*b37 + x254 =L= 0;

e333..  - 10*b38 + x256 =L= 0;

e334..  - 10*b39 + x258 =L= 0;

e335..  - 10*b40 + x260 =L= 0;

e336..  - 10*b41 + x262 =L= 0;

e337..  - 10*b42 + x264 =L= 0;

e338..  - 10*b43 + x266 =L= 0;

e339..  - 10*b44 + x268 =L= 0;

e340..  - 10*b45 + x270 =L= 0;

e341..  - 10*b46 + x272 =L= 0;

e342..  - 10*b47 + x274 =L= 0;

e343..  - 10*b48 + x276 =L= 0;

e344..  - 10*b49 + x278 =L= 0;

e345..  - 10*b50 + x280 =L= 0;

e346..  - 10*b51 + x282 =L= 0;

e347..  - 10*b52 + x284 =L= 0;

e348..  - 10*b53 + x286 =L= 0;

e349..  - 10*b54 + x288 =L= 0;

e350..  - 10*b55 + x290 =L= 0;

e351..  - 10*b56 + x292 =L= 0;

e352..  - 10*b57 + x294 =L= 0;

e353..  - 10*b58 + x296 =L= 0;

e354..  - 10*b59 + x298 =L= 0;

e355..  - 10*b60 + x300 =L= 0;

e356..  - 10*b61 + x301 =L= 0;

e357..  - 10*b62 + x303 =L= 0;

e358..  - 10*b63 + x305 =L= 0;

e359..  - 10*b64 + x307 =L= 0;

e360..  - 10*b65 + x309 =L= 0;

e361..  - 10*b66 + x311 =L= 0;

e362..  - 10*b67 + x313 =L= 0;

e363..  - 10*b68 + x315 =L= 0;

e364..  - 10*b69 + x317 =L= 0;

e365..  - 10*b70 + x319 =L= 0;

e366..  - 10*b71 + x321 =L= 0;

e367..  - 10*b72 + x323 =L= 0;

e368..  - 10*b73 + x325 =L= 0;

e369..  - 10*b74 + x327 =L= 0;

e370..  - 10*b75 + x329 =L= 0;

e371..  - 10*b76 + x331 =L= 0;

e372..  - 10*b77 + x333 =L= 0;

e373..  - 10*b78 + x335 =L= 0;

e374..  - 10*b79 + x337 =L= 0;

e375..  - 10*b80 + x339 =L= 0;

e376..  - 10*b81 + x341 =L= 0;

e377..  - 10*b82 + x343 =L= 0;

e378..  - 10*b83 + x345 =L= 0;

e379..  - 10*b84 + x347 =L= 0;

e380..  - 10*b85 + x349 =L= 0;

e381..  - 10*b86 + x351 =L= 0;

e382..  - 10*b87 + x353 =L= 0;

e383..  - 10*b88 + x355 =L= 0;

e384..  - 10*b89 + x357 =L= 0;

e385..  - 10*b90 + x359 =L= 0;

e386..  - 10*b61 + x302 =L= 0;

e387..  - 10*b62 + x304 =L= 0;

e388..  - 10*b63 + x306 =L= 0;

e389..  - 10*b64 + x308 =L= 0;

e390..  - 10*b65 + x310 =L= 0;

e391..  - 10*b66 + x312 =L= 0;

e392..  - 10*b67 + x314 =L= 0;

e393..  - 10*b68 + x316 =L= 0;

e394..  - 10*b69 + x318 =L= 0;

e395..  - 10*b70 + x320 =L= 0;

e396..  - 10*b71 + x322 =L= 0;

e397..  - 10*b72 + x324 =L= 0;

e398..  - 10*b73 + x326 =L= 0;

e399..  - 10*b74 + x328 =L= 0;

e400..  - 10*b75 + x330 =L= 0;

e401..  - 10*b76 + x332 =L= 0;

e402..  - 10*b77 + x334 =L= 0;

e403..  - 10*b78 + x336 =L= 0;

e404..  - 10*b79 + x338 =L= 0;

e405..  - 10*b80 + x340 =L= 0;

e406..  - 10*b81 + x342 =L= 0;

e407..  - 10*b82 + x344 =L= 0;

e408..  - 10*b83 + x346 =L= 0;

e409..  - 10*b84 + x348 =L= 0;

e410..  - 10*b85 + x350 =L= 0;

e411..  - 10*b86 + x352 =L= 0;

e412..  - 10*b87 + x354 =L= 0;

e413..  - 10*b88 + x356 =L= 0;

e414..  - 10*b89 + x358 =L= 0;

e415..  - 10*b90 + x360 =L= 0;

e416..  - 10*b91 + x361 =L= 0;

e417..  - 10*b92 + x363 =L= 0;

e418..  - 10*b93 + x365 =L= 0;

e419..  - 10*b94 + x367 =L= 0;

e420..  - 10*b95 + x369 =L= 0;

e421..  - 10*b96 + x371 =L= 0;

e422..  - 10*b97 + x373 =L= 0;

e423..  - 10*b98 + x375 =L= 0;

e424..  - 10*b99 + x377 =L= 0;

e425..  - 10*b100 + x379 =L= 0;

e426..  - 10*b101 + x381 =L= 0;

e427..  - 10*b102 + x383 =L= 0;

e428..  - 10*b103 + x385 =L= 0;

e429..  - 10*b104 + x387 =L= 0;

e430..  - 10*b105 + x389 =L= 0;

e431..  - 10*b106 + x391 =L= 0;

e432..  - 10*b107 + x393 =L= 0;

e433..  - 10*b108 + x395 =L= 0;

e434..  - 10*b109 + x397 =L= 0;

e435..  - 10*b110 + x399 =L= 0;

e436..  - 10*b111 + x401 =L= 0;

e437..  - 10*b112 + x403 =L= 0;

e438..  - 10*b113 + x405 =L= 0;

e439..  - 10*b114 + x407 =L= 0;

e440..  - 10*b115 + x409 =L= 0;

e441..  - 10*b116 + x411 =L= 0;

e442..  - 10*b117 + x413 =L= 0;

e443..  - 10*b118 + x415 =L= 0;

e444..  - 10*b119 + x417 =L= 0;

e445..  - 10*b120 + x419 =L= 0;

e446..  - 10*b91 + x362 =L= 0;

e447..  - 10*b92 + x364 =L= 0;

e448..  - 10*b93 + x366 =L= 0;

e449..  - 10*b94 + x368 =L= 0;

e450..  - 10*b95 + x370 =L= 0;

e451..  - 10*b96 + x372 =L= 0;

e452..  - 10*b97 + x374 =L= 0;

e453..  - 10*b98 + x376 =L= 0;

e454..  - 10*b99 + x378 =L= 0;

e455..  - 10*b100 + x380 =L= 0;

e456..  - 10*b101 + x382 =L= 0;

e457..  - 10*b102 + x384 =L= 0;

e458..  - 10*b103 + x386 =L= 0;

e459..  - 10*b104 + x388 =L= 0;

e460..  - 10*b105 + x390 =L= 0;

e461..  - 10*b106 + x392 =L= 0;

e462..  - 10*b107 + x394 =L= 0;

e463..  - 10*b108 + x396 =L= 0;

e464..  - 10*b109 + x398 =L= 0;

e465..  - 10*b110 + x400 =L= 0;

e466..  - 10*b111 + x402 =L= 0;

e467..  - 10*b112 + x404 =L= 0;

e468..  - 10*b113 + x406 =L= 0;

e469..  - 10*b114 + x408 =L= 0;

e470..  - 10*b115 + x410 =L= 0;

e471..  - 10*b116 + x412 =L= 0;

e472..  - 10*b117 + x414 =L= 0;

e473..  - 10*b118 + x416 =L= 0;

e474..  - 10*b119 + x418 =L= 0;

e475..  - 10*b120 + x420 =L= 0;

e476..  - 10*b121 + x421 =L= 0;

e477..  - 10*b122 + x423 =L= 0;

e478..  - 10*b123 + x425 =L= 0;

e479..  - 10*b124 + x427 =L= 0;

e480..  - 10*b125 + x429 =L= 0;

e481..  - 10*b126 + x431 =L= 0;

e482..  - 10*b127 + x433 =L= 0;

e483..  - 10*b128 + x435 =L= 0;

e484..  - 10*b129 + x437 =L= 0;

e485..  - 10*b130 + x439 =L= 0;

e486..  - 10*b131 + x441 =L= 0;

e487..  - 10*b132 + x443 =L= 0;

e488..  - 10*b133 + x445 =L= 0;

e489..  - 10*b134 + x447 =L= 0;

e490..  - 10*b135 + x449 =L= 0;

e491..  - 10*b136 + x451 =L= 0;

e492..  - 10*b137 + x453 =L= 0;

e493..  - 10*b138 + x455 =L= 0;

e494..  - 10*b139 + x457 =L= 0;

e495..  - 10*b140 + x459 =L= 0;

e496..  - 10*b141 + x461 =L= 0;

e497..  - 10*b142 + x463 =L= 0;

e498..  - 10*b143 + x465 =L= 0;

e499..  - 10*b144 + x467 =L= 0;

e500..  - 10*b145 + x469 =L= 0;

e501..  - 10*b146 + x471 =L= 0;

e502..  - 10*b147 + x473 =L= 0;

e503..  - 10*b148 + x475 =L= 0;

e504..  - 10*b149 + x477 =L= 0;

e505..  - 10*b150 + x479 =L= 0;

e506..  - 10*b121 + x422 =L= 0;

e507..  - 10*b122 + x424 =L= 0;

e508..  - 10*b123 + x426 =L= 0;

e509..  - 10*b124 + x428 =L= 0;

e510..  - 10*b125 + x430 =L= 0;

e511..  - 10*b126 + x432 =L= 0;

e512..  - 10*b127 + x434 =L= 0;

e513..  - 10*b128 + x436 =L= 0;

e514..  - 10*b129 + x438 =L= 0;

e515..  - 10*b130 + x440 =L= 0;

e516..  - 10*b131 + x442 =L= 0;

e517..  - 10*b132 + x444 =L= 0;

e518..  - 10*b133 + x446 =L= 0;

e519..  - 10*b134 + x448 =L= 0;

e520..  - 10*b135 + x450 =L= 0;

e521..  - 10*b136 + x452 =L= 0;

e522..  - 10*b137 + x454 =L= 0;

e523..  - 10*b138 + x456 =L= 0;

e524..  - 10*b139 + x458 =L= 0;

e525..  - 10*b140 + x460 =L= 0;

e526..  - 10*b141 + x462 =L= 0;

e527..  - 10*b142 + x464 =L= 0;

e528..  - 10*b143 + x466 =L= 0;

e529..  - 10*b144 + x468 =L= 0;

e530..  - 10*b145 + x470 =L= 0;

e531..  - 10*b146 + x472 =L= 0;

e532..  - 10*b147 + x474 =L= 0;

e533..  - 10*b148 + x476 =L= 0;

e534..  - 10*b149 + x478 =L= 0;

e535..  - 10*b150 + x480 =L= 0;

e536..    x151 - x152 =L= 0;

e537..    x152 - x157 =L= 0;

e538..    x157 - x161 =L= 0;

e539..    x161 - x165 =L= 0;

e540..  - x153 - x156 - x158 - x160 - x162 - x164 - x166 - x168 - x169 - x170
        - x171 - x172 - x173 - x174 - x175 - x176 - x177 - x178 - x179 - x180
        + objvar =E= 0;

* set non-default bounds
x151.up = 10;
x152.up = 10;
x153.up = 10;
x154.up = 10;
x155.up = 10;
x156.up = 10;
x157.up = 10;
x158.up = 10;
x159.up = 10;
x160.up = 10;
x161.up = 10;
x162.up = 10;
x163.up = 10;
x164.up = 10;
x165.up = 10;
x166.up = 10;
x167.up = 10;
x168.up = 10;
x169.up = 10;
x170.up = 10;
x171.up = 10;
x172.up = 10;
x173.up = 10;
x174.up = 10;
x175.up = 10;
x176.up = 10;
x177.up = 10;
x178.up = 10;
x179.up = 10;
x180.up = 10;
x181.up = 10;
x182.up = 10;
x183.up = 10;
x184.up = 10;
x185.up = 10;
x186.up = 10;
x187.up = 10;
x188.up = 10;
x189.up = 10;
x190.up = 10;
x191.up = 10;
x192.up = 10;
x193.up = 10;
x194.up = 10;
x195.up = 10;
x196.up = 10;
x197.up = 10;
x198.up = 10;
x199.up = 10;
x200.up = 10;
x201.up = 10;
x202.up = 10;
x203.up = 10;
x204.up = 10;
x205.up = 10;
x206.up = 10;
x207.up = 10;
x208.up = 10;
x209.up = 10;
x210.up = 10;
x211.up = 10;
x212.up = 10;
x213.up = 10;
x214.up = 10;
x215.up = 10;
x216.up = 10;
x217.up = 10;
x218.up = 10;
x219.up = 10;
x220.up = 10;
x221.up = 10;
x222.up = 10;
x223.up = 10;
x224.up = 10;
x225.up = 10;
x226.up = 10;
x227.up = 10;
x228.up = 10;
x229.up = 10;
x230.up = 10;
x231.up = 10;
x232.up = 10;
x233.up = 10;
x234.up = 10;
x235.up = 10;
x236.up = 10;
x237.up = 10;
x238.up = 10;
x239.up = 10;
x240.up = 10;
x241.up = 10;
x242.up = 10;
x243.up = 10;
x244.up = 10;
x245.up = 10;
x246.up = 10;
x247.up = 10;
x248.up = 10;
x249.up = 10;
x250.up = 10;
x251.up = 10;
x252.up = 10;
x253.up = 10;
x254.up = 10;
x255.up = 10;
x256.up = 10;
x257.up = 10;
x258.up = 10;
x259.up = 10;
x260.up = 10;
x261.up = 10;
x262.up = 10;
x263.up = 10;
x264.up = 10;
x265.up = 10;
x266.up = 10;
x267.up = 10;
x268.up = 10;
x269.up = 10;
x270.up = 10;
x271.up = 10;
x272.up = 10;
x273.up = 10;
x274.up = 10;
x275.up = 10;
x276.up = 10;
x277.up = 10;
x278.up = 10;
x279.up = 10;
x280.up = 10;
x281.up = 10;
x282.up = 10;
x283.up = 10;
x284.up = 10;
x285.up = 10;
x286.up = 10;
x287.up = 10;
x288.up = 10;
x289.up = 10;
x290.up = 10;
x291.up = 10;
x292.up = 10;
x293.up = 10;
x294.up = 10;
x295.up = 10;
x296.up = 10;
x297.up = 10;
x298.up = 10;
x299.up = 10;
x300.up = 10;
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;

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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