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Instance p_ball_10b_7p_3d_h

Select 7-points in 3-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 10 balls with radius one.
This is a convex-hull formulation.
Formats ams gms mod nl osil py
Primal Bounds (infeas ≤ 1e-08)
109.80321510 p1 ( gdx sol )
(infeas: 9e-16)
Other points (infeas > 1e-08)  
Dual Bounds
24.55322904 (ALPHAECP)
109.80321500 (ANTIGONE)
109.80317570 (BARON)
109.80321500 (BONMIN)
109.80319130 (COUENNE)
32.63785664 (LINDO)
109.80320730 (SCIP)
0.00000000 (SHOT)
References Kronqvist, Jan and Misener, Ruth, A disjunctive cut strengthening technique for convex MINLP, Tech. Rep., 2020.
Source p_ball_10b_7p_3d_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 364
#Binary Variables 70
#Integer Variables 0
#Nonlinear Variables 280
#Nonlinear Binary Variables 70
#Nonlinear Integer Variables 0
Objective Sense min
Objective type linear
Objective curvature linear
#Nonzeros in Objective 63
#Nonlinear Nonzeros in Objective 0
#Constraints 450
#Linear Constraints 380
#Quadratic Constraints 0
#Polynomial Constraints 0
#Signomial Constraints 0
#General Nonlinear Constraints 70
Operands in Gen. Nonlin. Functions div mul sqr
Constraints curvature convex
#Nonzeros in Jacobian 1461
#Nonlinear Nonzeros in Jacobian 280
#Nonzeros in (Upper-Left) Hessian of Lagrangian 700
#Nonzeros in Diagonal of Hessian of Lagrangian 280
#Blocks in Hessian of Lagrangian 70
Minimal blocksize in Hessian of Lagrangian 4
Maximal blocksize in Hessian of Lagrangian 4
Average blocksize in Hessian of Lagrangian 4.0
#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
*        451       29        0      422        0        0        0        0
*  
*  Variable counts
*                   x        b        i      s1s      s2s       sc       si
*      Total     cont   binary  integer     sos1     sos2    scont     sint
*        365      295       70        0        0        0        0        0
*  FX      0
*  
*  Nonzero counts
*      Total    const       NL      DLL
*       1525     1245      280        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
          ,x71,x72,x73,x74,x75,x76,x77,x78,x79,x80,x81,x82,x83,x84,x85,x86,x87
          ,x88,x89,x90,x91,x92,x93,x94,x95,x96,x97,x98,x99,x100,x101,x102,x103
          ,x104,x105,x106,x107,x108,x109,x110,x111,x112,x113,x114,x115,x116
          ,x117,x118,x119,x120,x121,x122,x123,x124,x125,x126,x127,x128,x129
          ,x130,x131,x132,x133,x134,x135,x136,x137,x138,x139,x140,x141,x142
          ,x143,x144,x145,x146,x147,x148,x149,x150,x151,x152,x153,x154,x155
          ,x156,x157,x158,x159,x160,x161,x162,x163,x164,x165,x166,x167,x168
          ,x169,x170,x171,x172,x173,x174,x175,x176,x177,x178,x179,x180,x181
          ,x182,x183,x184,x185,x186,x187,x188,x189,x190,x191,x192,x193,x194
          ,x195,x196,x197,x198,x199,x200,x201,x202,x203,x204,x205,x206,x207
          ,x208,x209,x210,x211,x212,x213,x214,x215,x216,x217,x218,x219,x220
          ,x221,x222,x223,x224,x225,x226,x227,x228,x229,x230,x231,x232,x233
          ,x234,x235,x236,x237,x238,x239,x240,x241,x242,x243,x244,x245,x246
          ,x247,x248,x249,x250,x251,x252,x253,x254,x255,x256,x257,x258,x259
          ,x260,x261,x262,x263,x264,x265,x266,x267,x268,x269,x270,x271,x272
          ,x273,x274,x275,x276,x277,x278,x279,x280,x281,x282,x283,x284,x285
          ,x286,x287,x288,x289,x290,x291,x292,x293,x294,x295,x296,x297,x298
          ,x299,x300,x301,x302,x303,x304,x305,x306,x307,x308,x309,x310,x311
          ,x312,x313,x314,x315,x316,x317,x318,x319,x320,x321,x322,x323,x324
          ,x325,x326,x327,x328,x329,x330,x331,x332,x333,x334,x335,x336,x337
          ,x338,x339,x340,x341,x342,x343,x344,x345,x346,x347,x348,x349,x350
          ,x351,x352,x353,x354,x355,x356,x357,x358,x359,x360,x361,x362,x363
          ,x364,objvar;

Positive Variables  x71,x72,x73,x74,x75,x76,x77,x78,x79,x80,x81,x82,x83,x84
          ,x85,x86,x87,x88,x89,x90,x91,x92,x93,x94,x95,x96,x97,x98,x99,x100
          ,x101,x102,x103,x104,x105,x106,x107,x108,x109,x110,x111,x112,x113
          ,x114,x115,x116,x117,x118,x119,x120,x121,x122,x123,x124,x125,x126
          ,x127,x128,x129,x130,x131,x132,x133,x134,x135,x136,x137,x138,x139
          ,x140,x141,x142,x143,x144,x145,x146,x147,x148,x149,x150,x151,x152
          ,x153,x154,x155,x156,x157,x158,x159,x160,x161,x162,x163,x164,x165
          ,x166,x167,x168,x169,x170,x171,x172,x173,x174,x175,x176,x177,x178
          ,x179,x180,x181,x182,x183,x184,x185,x186,x187,x188,x189,x190,x191
          ,x192,x193,x194,x195,x196,x197,x198,x199,x200,x201,x202,x203,x204
          ,x205,x206,x207,x208,x209,x210,x211,x212,x213,x214,x215,x216,x217
          ,x218,x219,x220,x221,x222,x223,x224,x225,x226,x227,x228,x229,x230
          ,x231,x232,x233,x234,x235,x236,x237,x238,x239,x240,x241,x242,x243
          ,x244,x245,x246,x247,x248,x249,x250,x251,x252,x253,x254,x255,x256
          ,x257,x258,x259,x260,x261,x262,x263,x264,x265,x266,x267,x268,x269
          ,x270,x271,x272,x273,x274,x275,x276,x277,x278,x279,x280,x281,x282
          ,x283,x284,x285,x286,x287,x288,x289,x290,x291,x292,x293,x294,x295
          ,x296,x297,x298,x299,x300,x301,x302,x303,x304,x305,x306,x307,x308
          ,x309,x310,x311,x312,x313,x314,x315,x316,x317,x318,x319,x320,x321
          ,x322,x323,x324,x325,x326,x327,x328,x329,x330,x331,x332,x333,x334
          ,x335,x336,x337,x338,x339,x340,x341,x342,x343,x344,x345,x346,x347
          ,x348,x349,x350,x351,x352,x353,x354,x355,x356,x357,x358,x359,x360
          ,x361,x362,x363,x364;

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;

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;


e1..    x71 - x72 - x73 =L= 0;

e2..  - x71 + x72 - x73 =L= 0;

e3..    x74 - x75 - x76 =L= 0;

e4..  - x74 + x75 - x76 =L= 0;

e5..    x77 - x78 - x79 =L= 0;

e6..  - x77 + x78 - x79 =L= 0;

e7..    x71 - x80 - x81 =L= 0;

e8..  - x71 + x80 - x81 =L= 0;

e9..    x74 - x82 - x83 =L= 0;

e10..  - x74 + x82 - x83 =L= 0;

e11..    x77 - x84 - x85 =L= 0;

e12..  - x77 + x84 - x85 =L= 0;

e13..    x71 - x86 - x87 =L= 0;

e14..  - x71 + x86 - x87 =L= 0;

e15..    x74 - x88 - x89 =L= 0;

e16..  - x74 + x88 - x89 =L= 0;

e17..    x77 - x90 - x91 =L= 0;

e18..  - x77 + x90 - x91 =L= 0;

e19..    x71 - x92 - x93 =L= 0;

e20..  - x71 + x92 - x93 =L= 0;

e21..    x74 - x94 - x95 =L= 0;

e22..  - x74 + x94 - x95 =L= 0;

e23..    x77 - x96 - x97 =L= 0;

e24..  - x77 + x96 - x97 =L= 0;

e25..    x71 - x98 - x99 =L= 0;

e26..  - x71 + x98 - x99 =L= 0;

e27..    x74 - x100 - x101 =L= 0;

e28..  - x74 + x100 - x101 =L= 0;

e29..    x77 - x102 - x103 =L= 0;

e30..  - x77 + x102 - x103 =L= 0;

e31..    x71 - x104 - x105 =L= 0;

e32..  - x71 + x104 - x105 =L= 0;

e33..    x74 - x106 - x107 =L= 0;

e34..  - x74 + x106 - x107 =L= 0;

e35..    x77 - x108 - x109 =L= 0;

e36..  - x77 + x108 - x109 =L= 0;

e37..    x72 - x80 - x110 =L= 0;

e38..  - x72 + x80 - x110 =L= 0;

e39..    x75 - x82 - x111 =L= 0;

e40..  - x75 + x82 - x111 =L= 0;

e41..    x78 - x84 - x112 =L= 0;

e42..  - x78 + x84 - x112 =L= 0;

e43..    x72 - x86 - x113 =L= 0;

e44..  - x72 + x86 - x113 =L= 0;

e45..    x75 - x88 - x114 =L= 0;

e46..  - x75 + x88 - x114 =L= 0;

e47..    x78 - x90 - x115 =L= 0;

e48..  - x78 + x90 - x115 =L= 0;

e49..    x72 - x92 - x116 =L= 0;

e50..  - x72 + x92 - x116 =L= 0;

e51..    x75 - x94 - x117 =L= 0;

e52..  - x75 + x94 - x117 =L= 0;

e53..    x78 - x96 - x118 =L= 0;

e54..  - x78 + x96 - x118 =L= 0;

e55..    x72 - x98 - x119 =L= 0;

e56..  - x72 + x98 - x119 =L= 0;

e57..    x75 - x100 - x120 =L= 0;

e58..  - x75 + x100 - x120 =L= 0;

e59..    x78 - x102 - x121 =L= 0;

e60..  - x78 + x102 - x121 =L= 0;

e61..    x72 - x104 - x122 =L= 0;

e62..  - x72 + x104 - x122 =L= 0;

e63..    x75 - x106 - x123 =L= 0;

e64..  - x75 + x106 - x123 =L= 0;

e65..    x78 - x108 - x124 =L= 0;

e66..  - x78 + x108 - x124 =L= 0;

e67..    x80 - x86 - x125 =L= 0;

e68..  - x80 + x86 - x125 =L= 0;

e69..    x82 - x88 - x126 =L= 0;

e70..  - x82 + x88 - x126 =L= 0;

e71..    x84 - x90 - x127 =L= 0;

e72..  - x84 + x90 - x127 =L= 0;

e73..    x80 - x92 - x128 =L= 0;

e74..  - x80 + x92 - x128 =L= 0;

e75..    x82 - x94 - x129 =L= 0;

e76..  - x82 + x94 - x129 =L= 0;

e77..    x84 - x96 - x130 =L= 0;

e78..  - x84 + x96 - x130 =L= 0;

e79..    x80 - x98 - x131 =L= 0;

e80..  - x80 + x98 - x131 =L= 0;

e81..    x82 - x100 - x132 =L= 0;

e82..  - x82 + x100 - x132 =L= 0;

e83..    x84 - x102 - x133 =L= 0;

e84..  - x84 + x102 - x133 =L= 0;

e85..    x80 - x104 - x134 =L= 0;

e86..  - x80 + x104 - x134 =L= 0;

e87..    x82 - x106 - x135 =L= 0;

e88..  - x82 + x106 - x135 =L= 0;

e89..    x84 - x108 - x136 =L= 0;

e90..  - x84 + x108 - x136 =L= 0;

e91..    x86 - x92 - x137 =L= 0;

e92..  - x86 + x92 - x137 =L= 0;

e93..    x88 - x94 - x138 =L= 0;

e94..  - x88 + x94 - x138 =L= 0;

e95..    x90 - x96 - x139 =L= 0;

e96..  - x90 + x96 - x139 =L= 0;

e97..    x86 - x98 - x140 =L= 0;

e98..  - x86 + x98 - x140 =L= 0;

e99..    x88 - x100 - x141 =L= 0;

e100..  - x88 + x100 - x141 =L= 0;

e101..    x90 - x102 - x142 =L= 0;

e102..  - x90 + x102 - x142 =L= 0;

e103..    x86 - x104 - x143 =L= 0;

e104..  - x86 + x104 - x143 =L= 0;

e105..    x88 - x106 - x144 =L= 0;

e106..  - x88 + x106 - x144 =L= 0;

e107..    x90 - x108 - x145 =L= 0;

e108..  - x90 + x108 - x145 =L= 0;

e109..    x92 - x98 - x146 =L= 0;

e110..  - x92 + x98 - x146 =L= 0;

e111..    x94 - x100 - x147 =L= 0;

e112..  - x94 + x100 - x147 =L= 0;

e113..    x96 - x102 - x148 =L= 0;

e114..  - x96 + x102 - x148 =L= 0;

e115..    x92 - x104 - x149 =L= 0;

e116..  - x92 + x104 - x149 =L= 0;

e117..    x94 - x106 - x150 =L= 0;

e118..  - x94 + x106 - x150 =L= 0;

e119..    x96 - x108 - x151 =L= 0;

e120..  - x96 + x108 - x151 =L= 0;

e121..    x98 - x104 - x152 =L= 0;

e122..  - x98 + x104 - x152 =L= 0;

e123..    x100 - x106 - x153 =L= 0;

e124..  - x100 + x106 - x153 =L= 0;

e125..    x102 - x108 - x154 =L= 0;

e126..  - x102 + x108 - x154 =L= 0;

e127.. (-1 + sqr(4.13263517293428 - x155/(0.0001 + 0.9999*b1)) + sqr(
       9.89321475687716 - x156/(0.0001 + 0.9999*b1)) + sqr(7.00543632985936 - 
       x157/(0.0001 + 0.9999*b1)))*(0.0001 + 0.9999*b1) + 0.0163030509869979*b1
        =L= 0.0163030509869979;

e128.. (-1 + sqr(5.36782363621885 - x158/(0.0001 + 0.9999*b2)) + sqr(
       1.51651713640814 - x159/(0.0001 + 0.9999*b2)) + sqr(6.16125243380265 - 
       x160/(0.0001 + 0.9999*b2)))*(0.0001 + 0.9999*b2) + 0.00680743863676083*
       b2 =L= 0.00680743863676083;

e129.. (-1 + sqr(8.2275592328595 - x161/(0.0001 + 0.9999*b3)) + sqr(
       4.51338886533517 - x162/(0.0001 + 0.9999*b3)) + sqr(3.02091680975325 - 
       x163/(0.0001 + 0.9999*b3)))*(0.0001 + 0.9999*b3) + 0.00961893483513928*
       b3 =L= 0.00961893483513928;

e130.. (-1 + sqr(4.45787019759725 - x164/(0.0001 + 0.9999*b4)) + sqr(
       8.176601080562 - x165/(0.0001 + 0.9999*b4)) + sqr(2.1384293807986 - x166
       /(0.0001 + 0.9999*b4)))*(0.0001 + 0.9999*b4) + 0.00903022921459361*b4
        =L= 0.00903022921459361;

e131.. (-1 + sqr(8.002643257644 - x167/(0.0001 + 0.9999*b5)) + sqr(
       5.28236491095606 - x168/(0.0001 + 0.9999*b5)) + sqr(5.11938934174774 - 
       x169/(0.0001 + 0.9999*b5)))*(0.0001 + 0.9999*b5) + 0.0117153825394015*b5
        =L= 0.0117153825394015;

e132.. (-1 + sqr(6.24049438612365 - x170/(0.0001 + 0.9999*b6)) + sqr(
       3.8120863088984 - x171/(0.0001 + 0.9999*b6)) + sqr(9.50984985922338 - 
       x172/(0.0001 + 0.9999*b6)))*(0.0001 + 0.9999*b6) + 0.0142913016554702*b6
        =L= 0.0142913016554702;

e133.. (-1 + sqr(4.54775219913353 - x173/(0.0001 + 0.9999*b7)) + sqr(
       5.50227429055218 - x174/(0.0001 + 0.9999*b7)) + sqr(3.5032816165688 - 
       x175/(0.0001 + 0.9999*b7)))*(0.0001 + 0.9999*b7) + 0.00622300545181842*
       b7 =L= 0.00622300545181842;

e134.. (-1 + sqr(1.674156677828 - x176/(0.0001 + 0.9999*b8)) + sqr(
       4.99633600480765 - x177/(0.0001 + 0.9999*b8)) + sqr(1.42648309916894 - 
       x178/(0.0001 + 0.9999*b8)))*(0.0001 + 0.9999*b8) + 0.0028801028087068*b8
        =L= 0.0028801028087068;

e135.. (-1 + sqr(1.82060210212647 - x179/(0.0001 + 0.9999*b9)) + sqr(
       8.61550724971434 - x180/(0.0001 + 0.9999*b9)) + sqr(4.93467653333678 - 
       x181/(0.0001 + 0.9999*b9)))*(0.0001 + 0.9999*b9) + 0.0100892589672812*b9
        =L= 0.0100892589672812;

e136.. (-1 + sqr(6.61159251106337 - x182/(0.0001 + 0.9999*b10)) + sqr(
       9.89217063451911 - x183/(0.0001 + 0.9999*b10)) + sqr(4.74850918126831 - 
       x184/(0.0001 + 0.9999*b10)))*(0.0001 + 0.9999*b10) + 0.0163116534839381*
       b10 =L= 0.0163116534839381;

e137..    b1 + b2 + b3 + b4 + b5 + b6 + b7 + b8 + b9 + b10 =E= 1;

e138.. (-1 + sqr(4.13263517293428 - x185/(0.0001 + 0.9999*b11)) + sqr(
       9.89321475687716 - x186/(0.0001 + 0.9999*b11)) + sqr(7.00543632985936 - 
       x187/(0.0001 + 0.9999*b11)))*(0.0001 + 0.9999*b11) + 0.0163030509869979*
       b11 =L= 0.0163030509869979;

e139.. (-1 + sqr(5.36782363621885 - x188/(0.0001 + 0.9999*b12)) + sqr(
       1.51651713640814 - x189/(0.0001 + 0.9999*b12)) + sqr(6.16125243380265 - 
       x190/(0.0001 + 0.9999*b12)))*(0.0001 + 0.9999*b12) + 0.00680743863676083
       *b12 =L= 0.00680743863676083;

e140.. (-1 + sqr(8.2275592328595 - x191/(0.0001 + 0.9999*b13)) + sqr(
       4.51338886533517 - x192/(0.0001 + 0.9999*b13)) + sqr(3.02091680975325 - 
       x193/(0.0001 + 0.9999*b13)))*(0.0001 + 0.9999*b13) + 0.00961893483513928
       *b13 =L= 0.00961893483513928;

e141.. (-1 + sqr(4.45787019759725 - x194/(0.0001 + 0.9999*b14)) + sqr(
       8.176601080562 - x195/(0.0001 + 0.9999*b14)) + sqr(2.1384293807986 - 
       x196/(0.0001 + 0.9999*b14)))*(0.0001 + 0.9999*b14) + 0.00903022921459361
       *b14 =L= 0.00903022921459361;

e142.. (-1 + sqr(8.002643257644 - x197/(0.0001 + 0.9999*b15)) + sqr(
       5.28236491095606 - x198/(0.0001 + 0.9999*b15)) + sqr(5.11938934174774 - 
       x199/(0.0001 + 0.9999*b15)))*(0.0001 + 0.9999*b15) + 0.0117153825394015*
       b15 =L= 0.0117153825394015;

e143.. (-1 + sqr(6.24049438612365 - x200/(0.0001 + 0.9999*b16)) + sqr(
       3.8120863088984 - x201/(0.0001 + 0.9999*b16)) + sqr(9.50984985922338 - 
       x202/(0.0001 + 0.9999*b16)))*(0.0001 + 0.9999*b16) + 0.0142913016554702*
       b16 =L= 0.0142913016554702;

e144.. (-1 + sqr(4.54775219913353 - x203/(0.0001 + 0.9999*b17)) + sqr(
       5.50227429055218 - x204/(0.0001 + 0.9999*b17)) + sqr(3.5032816165688 - 
       x205/(0.0001 + 0.9999*b17)))*(0.0001 + 0.9999*b17) + 0.00622300545181842
       *b17 =L= 0.00622300545181842;

e145.. (-1 + sqr(1.674156677828 - x206/(0.0001 + 0.9999*b18)) + sqr(
       4.99633600480765 - x207/(0.0001 + 0.9999*b18)) + sqr(1.42648309916894 - 
       x208/(0.0001 + 0.9999*b18)))*(0.0001 + 0.9999*b18) + 0.0028801028087068*
       b18 =L= 0.0028801028087068;

e146.. (-1 + sqr(1.82060210212647 - x209/(0.0001 + 0.9999*b19)) + sqr(
       8.61550724971434 - x210/(0.0001 + 0.9999*b19)) + sqr(4.93467653333678 - 
       x211/(0.0001 + 0.9999*b19)))*(0.0001 + 0.9999*b19) + 0.0100892589672812*
       b19 =L= 0.0100892589672812;

e147.. (-1 + sqr(6.61159251106337 - x212/(0.0001 + 0.9999*b20)) + sqr(
       9.89217063451911 - x213/(0.0001 + 0.9999*b20)) + sqr(4.74850918126831 - 
       x214/(0.0001 + 0.9999*b20)))*(0.0001 + 0.9999*b20) + 0.0163116534839381*
       b20 =L= 0.0163116534839381;

e148..    b11 + b12 + b13 + b14 + b15 + b16 + b17 + b18 + b19 + b20 =E= 1;

e149.. (-1 + sqr(4.13263517293428 - x215/(0.0001 + 0.9999*b21)) + sqr(
       9.89321475687716 - x216/(0.0001 + 0.9999*b21)) + sqr(7.00543632985936 - 
       x217/(0.0001 + 0.9999*b21)))*(0.0001 + 0.9999*b21) + 0.0163030509869979*
       b21 =L= 0.0163030509869979;

e150.. (-1 + sqr(5.36782363621885 - x218/(0.0001 + 0.9999*b22)) + sqr(
       1.51651713640814 - x219/(0.0001 + 0.9999*b22)) + sqr(6.16125243380265 - 
       x220/(0.0001 + 0.9999*b22)))*(0.0001 + 0.9999*b22) + 0.00680743863676083
       *b22 =L= 0.00680743863676083;

e151.. (-1 + sqr(8.2275592328595 - x221/(0.0001 + 0.9999*b23)) + sqr(
       4.51338886533517 - x222/(0.0001 + 0.9999*b23)) + sqr(3.02091680975325 - 
       x223/(0.0001 + 0.9999*b23)))*(0.0001 + 0.9999*b23) + 0.00961893483513928
       *b23 =L= 0.00961893483513928;

e152.. (-1 + sqr(4.45787019759725 - x224/(0.0001 + 0.9999*b24)) + sqr(
       8.176601080562 - x225/(0.0001 + 0.9999*b24)) + sqr(2.1384293807986 - 
       x226/(0.0001 + 0.9999*b24)))*(0.0001 + 0.9999*b24) + 0.00903022921459361
       *b24 =L= 0.00903022921459361;

e153.. (-1 + sqr(8.002643257644 - x227/(0.0001 + 0.9999*b25)) + sqr(
       5.28236491095606 - x228/(0.0001 + 0.9999*b25)) + sqr(5.11938934174774 - 
       x229/(0.0001 + 0.9999*b25)))*(0.0001 + 0.9999*b25) + 0.0117153825394015*
       b25 =L= 0.0117153825394015;

e154.. (-1 + sqr(6.24049438612365 - x230/(0.0001 + 0.9999*b26)) + sqr(
       3.8120863088984 - x231/(0.0001 + 0.9999*b26)) + sqr(9.50984985922338 - 
       x232/(0.0001 + 0.9999*b26)))*(0.0001 + 0.9999*b26) + 0.0142913016554702*
       b26 =L= 0.0142913016554702;

e155.. (-1 + sqr(4.54775219913353 - x233/(0.0001 + 0.9999*b27)) + sqr(
       5.50227429055218 - x234/(0.0001 + 0.9999*b27)) + sqr(3.5032816165688 - 
       x235/(0.0001 + 0.9999*b27)))*(0.0001 + 0.9999*b27) + 0.00622300545181842
       *b27 =L= 0.00622300545181842;

e156.. (-1 + sqr(1.674156677828 - x236/(0.0001 + 0.9999*b28)) + sqr(
       4.99633600480765 - x237/(0.0001 + 0.9999*b28)) + sqr(1.42648309916894 - 
       x238/(0.0001 + 0.9999*b28)))*(0.0001 + 0.9999*b28) + 0.0028801028087068*
       b28 =L= 0.0028801028087068;

e157.. (-1 + sqr(1.82060210212647 - x239/(0.0001 + 0.9999*b29)) + sqr(
       8.61550724971434 - x240/(0.0001 + 0.9999*b29)) + sqr(4.93467653333678 - 
       x241/(0.0001 + 0.9999*b29)))*(0.0001 + 0.9999*b29) + 0.0100892589672812*
       b29 =L= 0.0100892589672812;

e158.. (-1 + sqr(6.61159251106337 - x242/(0.0001 + 0.9999*b30)) + sqr(
       9.89217063451911 - x243/(0.0001 + 0.9999*b30)) + sqr(4.74850918126831 - 
       x244/(0.0001 + 0.9999*b30)))*(0.0001 + 0.9999*b30) + 0.0163116534839381*
       b30 =L= 0.0163116534839381;

e159..    b21 + b22 + b23 + b24 + b25 + b26 + b27 + b28 + b29 + b30 =E= 1;

e160.. (-1 + sqr(4.13263517293428 - x245/(0.0001 + 0.9999*b31)) + sqr(
       9.89321475687716 - x246/(0.0001 + 0.9999*b31)) + sqr(7.00543632985936 - 
       x247/(0.0001 + 0.9999*b31)))*(0.0001 + 0.9999*b31) + 0.0163030509869979*
       b31 =L= 0.0163030509869979;

e161.. (-1 + sqr(5.36782363621885 - x248/(0.0001 + 0.9999*b32)) + sqr(
       1.51651713640814 - x249/(0.0001 + 0.9999*b32)) + sqr(6.16125243380265 - 
       x250/(0.0001 + 0.9999*b32)))*(0.0001 + 0.9999*b32) + 0.00680743863676083
       *b32 =L= 0.00680743863676083;

e162.. (-1 + sqr(8.2275592328595 - x251/(0.0001 + 0.9999*b33)) + sqr(
       4.51338886533517 - x252/(0.0001 + 0.9999*b33)) + sqr(3.02091680975325 - 
       x253/(0.0001 + 0.9999*b33)))*(0.0001 + 0.9999*b33) + 0.00961893483513928
       *b33 =L= 0.00961893483513928;

e163.. (-1 + sqr(4.45787019759725 - x254/(0.0001 + 0.9999*b34)) + sqr(
       8.176601080562 - x255/(0.0001 + 0.9999*b34)) + sqr(2.1384293807986 - 
       x256/(0.0001 + 0.9999*b34)))*(0.0001 + 0.9999*b34) + 0.00903022921459361
       *b34 =L= 0.00903022921459361;

e164.. (-1 + sqr(8.002643257644 - x257/(0.0001 + 0.9999*b35)) + sqr(
       5.28236491095606 - x258/(0.0001 + 0.9999*b35)) + sqr(5.11938934174774 - 
       x259/(0.0001 + 0.9999*b35)))*(0.0001 + 0.9999*b35) + 0.0117153825394015*
       b35 =L= 0.0117153825394015;

e165.. (-1 + sqr(6.24049438612365 - x260/(0.0001 + 0.9999*b36)) + sqr(
       3.8120863088984 - x261/(0.0001 + 0.9999*b36)) + sqr(9.50984985922338 - 
       x262/(0.0001 + 0.9999*b36)))*(0.0001 + 0.9999*b36) + 0.0142913016554702*
       b36 =L= 0.0142913016554702;

e166.. (-1 + sqr(4.54775219913353 - x263/(0.0001 + 0.9999*b37)) + sqr(
       5.50227429055218 - x264/(0.0001 + 0.9999*b37)) + sqr(3.5032816165688 - 
       x265/(0.0001 + 0.9999*b37)))*(0.0001 + 0.9999*b37) + 0.00622300545181842
       *b37 =L= 0.00622300545181842;

e167.. (-1 + sqr(1.674156677828 - x266/(0.0001 + 0.9999*b38)) + sqr(
       4.99633600480765 - x267/(0.0001 + 0.9999*b38)) + sqr(1.42648309916894 - 
       x268/(0.0001 + 0.9999*b38)))*(0.0001 + 0.9999*b38) + 0.0028801028087068*
       b38 =L= 0.0028801028087068;

e168.. (-1 + sqr(1.82060210212647 - x269/(0.0001 + 0.9999*b39)) + sqr(
       8.61550724971434 - x270/(0.0001 + 0.9999*b39)) + sqr(4.93467653333678 - 
       x271/(0.0001 + 0.9999*b39)))*(0.0001 + 0.9999*b39) + 0.0100892589672812*
       b39 =L= 0.0100892589672812;

e169.. (-1 + sqr(6.61159251106337 - x272/(0.0001 + 0.9999*b40)) + sqr(
       9.89217063451911 - x273/(0.0001 + 0.9999*b40)) + sqr(4.74850918126831 - 
       x274/(0.0001 + 0.9999*b40)))*(0.0001 + 0.9999*b40) + 0.0163116534839381*
       b40 =L= 0.0163116534839381;

e170..    b31 + b32 + b33 + b34 + b35 + b36 + b37 + b38 + b39 + b40 =E= 1;

e171.. (-1 + sqr(4.13263517293428 - x275/(0.0001 + 0.9999*b41)) + sqr(
       9.89321475687716 - x276/(0.0001 + 0.9999*b41)) + sqr(7.00543632985936 - 
       x277/(0.0001 + 0.9999*b41)))*(0.0001 + 0.9999*b41) + 0.0163030509869979*
       b41 =L= 0.0163030509869979;

e172.. (-1 + sqr(5.36782363621885 - x278/(0.0001 + 0.9999*b42)) + sqr(
       1.51651713640814 - x279/(0.0001 + 0.9999*b42)) + sqr(6.16125243380265 - 
       x280/(0.0001 + 0.9999*b42)))*(0.0001 + 0.9999*b42) + 0.00680743863676083
       *b42 =L= 0.00680743863676083;

e173.. (-1 + sqr(8.2275592328595 - x281/(0.0001 + 0.9999*b43)) + sqr(
       4.51338886533517 - x282/(0.0001 + 0.9999*b43)) + sqr(3.02091680975325 - 
       x283/(0.0001 + 0.9999*b43)))*(0.0001 + 0.9999*b43) + 0.00961893483513928
       *b43 =L= 0.00961893483513928;

e174.. (-1 + sqr(4.45787019759725 - x284/(0.0001 + 0.9999*b44)) + sqr(
       8.176601080562 - x285/(0.0001 + 0.9999*b44)) + sqr(2.1384293807986 - 
       x286/(0.0001 + 0.9999*b44)))*(0.0001 + 0.9999*b44) + 0.00903022921459361
       *b44 =L= 0.00903022921459361;

e175.. (-1 + sqr(8.002643257644 - x287/(0.0001 + 0.9999*b45)) + sqr(
       5.28236491095606 - x288/(0.0001 + 0.9999*b45)) + sqr(5.11938934174774 - 
       x289/(0.0001 + 0.9999*b45)))*(0.0001 + 0.9999*b45) + 0.0117153825394015*
       b45 =L= 0.0117153825394015;

e176.. (-1 + sqr(6.24049438612365 - x290/(0.0001 + 0.9999*b46)) + sqr(
       3.8120863088984 - x291/(0.0001 + 0.9999*b46)) + sqr(9.50984985922338 - 
       x292/(0.0001 + 0.9999*b46)))*(0.0001 + 0.9999*b46) + 0.0142913016554702*
       b46 =L= 0.0142913016554702;

e177.. (-1 + sqr(4.54775219913353 - x293/(0.0001 + 0.9999*b47)) + sqr(
       5.50227429055218 - x294/(0.0001 + 0.9999*b47)) + sqr(3.5032816165688 - 
       x295/(0.0001 + 0.9999*b47)))*(0.0001 + 0.9999*b47) + 0.00622300545181842
       *b47 =L= 0.00622300545181842;

e178.. (-1 + sqr(1.674156677828 - x296/(0.0001 + 0.9999*b48)) + sqr(
       4.99633600480765 - x297/(0.0001 + 0.9999*b48)) + sqr(1.42648309916894 - 
       x298/(0.0001 + 0.9999*b48)))*(0.0001 + 0.9999*b48) + 0.0028801028087068*
       b48 =L= 0.0028801028087068;

e179.. (-1 + sqr(1.82060210212647 - x299/(0.0001 + 0.9999*b49)) + sqr(
       8.61550724971434 - x300/(0.0001 + 0.9999*b49)) + sqr(4.93467653333678 - 
       x301/(0.0001 + 0.9999*b49)))*(0.0001 + 0.9999*b49) + 0.0100892589672812*
       b49 =L= 0.0100892589672812;

e180.. (-1 + sqr(6.61159251106337 - x302/(0.0001 + 0.9999*b50)) + sqr(
       9.89217063451911 - x303/(0.0001 + 0.9999*b50)) + sqr(4.74850918126831 - 
       x304/(0.0001 + 0.9999*b50)))*(0.0001 + 0.9999*b50) + 0.0163116534839381*
       b50 =L= 0.0163116534839381;

e181..    b41 + b42 + b43 + b44 + b45 + b46 + b47 + b48 + b49 + b50 =E= 1;

e182.. (-1 + sqr(4.13263517293428 - x305/(0.0001 + 0.9999*b51)) + sqr(
       9.89321475687716 - x306/(0.0001 + 0.9999*b51)) + sqr(7.00543632985936 - 
       x307/(0.0001 + 0.9999*b51)))*(0.0001 + 0.9999*b51) + 0.0163030509869979*
       b51 =L= 0.0163030509869979;

e183.. (-1 + sqr(5.36782363621885 - x308/(0.0001 + 0.9999*b52)) + sqr(
       1.51651713640814 - x309/(0.0001 + 0.9999*b52)) + sqr(6.16125243380265 - 
       x310/(0.0001 + 0.9999*b52)))*(0.0001 + 0.9999*b52) + 0.00680743863676083
       *b52 =L= 0.00680743863676083;

e184.. (-1 + sqr(8.2275592328595 - x311/(0.0001 + 0.9999*b53)) + sqr(
       4.51338886533517 - x312/(0.0001 + 0.9999*b53)) + sqr(3.02091680975325 - 
       x313/(0.0001 + 0.9999*b53)))*(0.0001 + 0.9999*b53) + 0.00961893483513928
       *b53 =L= 0.00961893483513928;

e185.. (-1 + sqr(4.45787019759725 - x314/(0.0001 + 0.9999*b54)) + sqr(
       8.176601080562 - x315/(0.0001 + 0.9999*b54)) + sqr(2.1384293807986 - 
       x316/(0.0001 + 0.9999*b54)))*(0.0001 + 0.9999*b54) + 0.00903022921459361
       *b54 =L= 0.00903022921459361;

e186.. (-1 + sqr(8.002643257644 - x317/(0.0001 + 0.9999*b55)) + sqr(
       5.28236491095606 - x318/(0.0001 + 0.9999*b55)) + sqr(5.11938934174774 - 
       x319/(0.0001 + 0.9999*b55)))*(0.0001 + 0.9999*b55) + 0.0117153825394015*
       b55 =L= 0.0117153825394015;

e187.. (-1 + sqr(6.24049438612365 - x320/(0.0001 + 0.9999*b56)) + sqr(
       3.8120863088984 - x321/(0.0001 + 0.9999*b56)) + sqr(9.50984985922338 - 
       x322/(0.0001 + 0.9999*b56)))*(0.0001 + 0.9999*b56) + 0.0142913016554702*
       b56 =L= 0.0142913016554702;

e188.. (-1 + sqr(4.54775219913353 - x323/(0.0001 + 0.9999*b57)) + sqr(
       5.50227429055218 - x324/(0.0001 + 0.9999*b57)) + sqr(3.5032816165688 - 
       x325/(0.0001 + 0.9999*b57)))*(0.0001 + 0.9999*b57) + 0.00622300545181842
       *b57 =L= 0.00622300545181842;

e189.. (-1 + sqr(1.674156677828 - x326/(0.0001 + 0.9999*b58)) + sqr(
       4.99633600480765 - x327/(0.0001 + 0.9999*b58)) + sqr(1.42648309916894 - 
       x328/(0.0001 + 0.9999*b58)))*(0.0001 + 0.9999*b58) + 0.0028801028087068*
       b58 =L= 0.0028801028087068;

e190.. (-1 + sqr(1.82060210212647 - x329/(0.0001 + 0.9999*b59)) + sqr(
       8.61550724971434 - x330/(0.0001 + 0.9999*b59)) + sqr(4.93467653333678 - 
       x331/(0.0001 + 0.9999*b59)))*(0.0001 + 0.9999*b59) + 0.0100892589672812*
       b59 =L= 0.0100892589672812;

e191.. (-1 + sqr(6.61159251106337 - x332/(0.0001 + 0.9999*b60)) + sqr(
       9.89217063451911 - x333/(0.0001 + 0.9999*b60)) + sqr(4.74850918126831 - 
       x334/(0.0001 + 0.9999*b60)))*(0.0001 + 0.9999*b60) + 0.0163116534839381*
       b60 =L= 0.0163116534839381;

e192..    b51 + b52 + b53 + b54 + b55 + b56 + b57 + b58 + b59 + b60 =E= 1;

e193.. (-1 + sqr(4.13263517293428 - x335/(0.0001 + 0.9999*b61)) + sqr(
       9.89321475687716 - x336/(0.0001 + 0.9999*b61)) + sqr(7.00543632985936 - 
       x337/(0.0001 + 0.9999*b61)))*(0.0001 + 0.9999*b61) + 0.0163030509869979*
       b61 =L= 0.0163030509869979;

e194.. (-1 + sqr(5.36782363621885 - x338/(0.0001 + 0.9999*b62)) + sqr(
       1.51651713640814 - x339/(0.0001 + 0.9999*b62)) + sqr(6.16125243380265 - 
       x340/(0.0001 + 0.9999*b62)))*(0.0001 + 0.9999*b62) + 0.00680743863676083
       *b62 =L= 0.00680743863676083;

e195.. (-1 + sqr(8.2275592328595 - x341/(0.0001 + 0.9999*b63)) + sqr(
       4.51338886533517 - x342/(0.0001 + 0.9999*b63)) + sqr(3.02091680975325 - 
       x343/(0.0001 + 0.9999*b63)))*(0.0001 + 0.9999*b63) + 0.00961893483513928
       *b63 =L= 0.00961893483513928;

e196.. (-1 + sqr(4.45787019759725 - x344/(0.0001 + 0.9999*b64)) + sqr(
       8.176601080562 - x345/(0.0001 + 0.9999*b64)) + sqr(2.1384293807986 - 
       x346/(0.0001 + 0.9999*b64)))*(0.0001 + 0.9999*b64) + 0.00903022921459361
       *b64 =L= 0.00903022921459361;

e197.. (-1 + sqr(8.002643257644 - x347/(0.0001 + 0.9999*b65)) + sqr(
       5.28236491095606 - x348/(0.0001 + 0.9999*b65)) + sqr(5.11938934174774 - 
       x349/(0.0001 + 0.9999*b65)))*(0.0001 + 0.9999*b65) + 0.0117153825394015*
       b65 =L= 0.0117153825394015;

e198.. (-1 + sqr(6.24049438612365 - x350/(0.0001 + 0.9999*b66)) + sqr(
       3.8120863088984 - x351/(0.0001 + 0.9999*b66)) + sqr(9.50984985922338 - 
       x352/(0.0001 + 0.9999*b66)))*(0.0001 + 0.9999*b66) + 0.0142913016554702*
       b66 =L= 0.0142913016554702;

e199.. (-1 + sqr(4.54775219913353 - x353/(0.0001 + 0.9999*b67)) + sqr(
       5.50227429055218 - x354/(0.0001 + 0.9999*b67)) + sqr(3.5032816165688 - 
       x355/(0.0001 + 0.9999*b67)))*(0.0001 + 0.9999*b67) + 0.00622300545181842
       *b67 =L= 0.00622300545181842;

e200.. (-1 + sqr(1.674156677828 - x356/(0.0001 + 0.9999*b68)) + sqr(
       4.99633600480765 - x357/(0.0001 + 0.9999*b68)) + sqr(1.42648309916894 - 
       x358/(0.0001 + 0.9999*b68)))*(0.0001 + 0.9999*b68) + 0.0028801028087068*
       b68 =L= 0.0028801028087068;

e201.. (-1 + sqr(1.82060210212647 - x359/(0.0001 + 0.9999*b69)) + sqr(
       8.61550724971434 - x360/(0.0001 + 0.9999*b69)) + sqr(4.93467653333678 - 
       x361/(0.0001 + 0.9999*b69)))*(0.0001 + 0.9999*b69) + 0.0100892589672812*
       b69 =L= 0.0100892589672812;

e202.. (-1 + sqr(6.61159251106337 - x362/(0.0001 + 0.9999*b70)) + sqr(
       9.89217063451911 - x363/(0.0001 + 0.9999*b70)) + sqr(4.74850918126831 - 
       x364/(0.0001 + 0.9999*b70)))*(0.0001 + 0.9999*b70) + 0.0163116534839381*
       b70 =L= 0.0163116534839381;

e203..    b61 + b62 + b63 + b64 + b65 + b66 + b67 + b68 + b69 + b70 =E= 1;

e204..    b1 + b11 + b21 + b31 + b41 + b51 + b61 =L= 1;

e205..    b2 + b12 + b22 + b32 + b42 + b52 + b62 =L= 1;

e206..    b3 + b13 + b23 + b33 + b43 + b53 + b63 =L= 1;

e207..    b4 + b14 + b24 + b34 + b44 + b54 + b64 =L= 1;

e208..    b5 + b15 + b25 + b35 + b45 + b55 + b65 =L= 1;

e209..    b6 + b16 + b26 + b36 + b46 + b56 + b66 =L= 1;

e210..    b7 + b17 + b27 + b37 + b47 + b57 + b67 =L= 1;

e211..    b8 + b18 + b28 + b38 + b48 + b58 + b68 =L= 1;

e212..    b9 + b19 + b29 + b39 + b49 + b59 + b69 =L= 1;

e213..    b10 + b20 + b30 + b40 + b50 + b60 + b70 =L= 1;

e214..  - x71 + x155 + x158 + x161 + x164 + x167 + x170 + x173 + x176 + x179
        + x182 =E= 0;

e215..  - x74 + x156 + x159 + x162 + x165 + x168 + x171 + x174 + x177 + x180
        + x183 =E= 0;

e216..  - x77 + x157 + x160 + x163 + x166 + x169 + x172 + x175 + x178 + x181
        + x184 =E= 0;

e217..  - x72 + x185 + x188 + x191 + x194 + x197 + x200 + x203 + x206 + x209
        + x212 =E= 0;

e218..  - x75 + x186 + x189 + x192 + x195 + x198 + x201 + x204 + x207 + x210
        + x213 =E= 0;

e219..  - x78 + x187 + x190 + x193 + x196 + x199 + x202 + x205 + x208 + x211
        + x214 =E= 0;

e220..  - x80 + x215 + x218 + x221 + x224 + x227 + x230 + x233 + x236 + x239
        + x242 =E= 0;

e221..  - x82 + x216 + x219 + x222 + x225 + x228 + x231 + x234 + x237 + x240
        + x243 =E= 0;

e222..  - x84 + x217 + x220 + x223 + x226 + x229 + x232 + x235 + x238 + x241
        + x244 =E= 0;

e223..  - x86 + x245 + x248 + x251 + x254 + x257 + x260 + x263 + x266 + x269
        + x272 =E= 0;

e224..  - x88 + x246 + x249 + x252 + x255 + x258 + x261 + x264 + x267 + x270
        + x273 =E= 0;

e225..  - x90 + x247 + x250 + x253 + x256 + x259 + x262 + x265 + x268 + x271
        + x274 =E= 0;

e226..  - x92 + x275 + x278 + x281 + x284 + x287 + x290 + x293 + x296 + x299
        + x302 =E= 0;

e227..  - x94 + x276 + x279 + x282 + x285 + x288 + x291 + x294 + x297 + x300
        + x303 =E= 0;

e228..  - x96 + x277 + x280 + x283 + x286 + x289 + x292 + x295 + x298 + x301
        + x304 =E= 0;

e229..  - x98 + x305 + x308 + x311 + x314 + x317 + x320 + x323 + x326 + x329
        + x332 =E= 0;

e230..  - x100 + x306 + x309 + x312 + x315 + x318 + x321 + x324 + x327 + x330
        + x333 =E= 0;

e231..  - x102 + x307 + x310 + x313 + x316 + x319 + x322 + x325 + x328 + x331
        + x334 =E= 0;

e232..  - x104 + x335 + x338 + x341 + x344 + x347 + x350 + x353 + x356 + x359
        + x362 =E= 0;

e233..  - x106 + x336 + x339 + x342 + x345 + x348 + x351 + x354 + x357 + x360
        + x363 =E= 0;

e234..  - x108 + x337 + x340 + x343 + x346 + x349 + x352 + x355 + x358 + x361
        + x364 =E= 0;

e235..  - 10*b1 + x155 =L= 0;

e236..  - 10*b2 + x158 =L= 0;

e237..  - 10*b3 + x161 =L= 0;

e238..  - 10*b4 + x164 =L= 0;

e239..  - 10*b5 + x167 =L= 0;

e240..  - 10*b6 + x170 =L= 0;

e241..  - 10*b7 + x173 =L= 0;

e242..  - 10*b8 + x176 =L= 0;

e243..  - 10*b9 + x179 =L= 0;

e244..  - 10*b10 + x182 =L= 0;

e245..  - 10*b1 + x156 =L= 0;

e246..  - 10*b2 + x159 =L= 0;

e247..  - 10*b3 + x162 =L= 0;

e248..  - 10*b4 + x165 =L= 0;

e249..  - 10*b5 + x168 =L= 0;

e250..  - 10*b6 + x171 =L= 0;

e251..  - 10*b7 + x174 =L= 0;

e252..  - 10*b8 + x177 =L= 0;

e253..  - 10*b9 + x180 =L= 0;

e254..  - 10*b10 + x183 =L= 0;

e255..  - 10*b1 + x157 =L= 0;

e256..  - 10*b2 + x160 =L= 0;

e257..  - 10*b3 + x163 =L= 0;

e258..  - 10*b4 + x166 =L= 0;

e259..  - 10*b5 + x169 =L= 0;

e260..  - 10*b6 + x172 =L= 0;

e261..  - 10*b7 + x175 =L= 0;

e262..  - 10*b8 + x178 =L= 0;

e263..  - 10*b9 + x181 =L= 0;

e264..  - 10*b10 + x184 =L= 0;

e265..  - 10*b11 + x185 =L= 0;

e266..  - 10*b12 + x188 =L= 0;

e267..  - 10*b13 + x191 =L= 0;

e268..  - 10*b14 + x194 =L= 0;

e269..  - 10*b15 + x197 =L= 0;

e270..  - 10*b16 + x200 =L= 0;

e271..  - 10*b17 + x203 =L= 0;

e272..  - 10*b18 + x206 =L= 0;

e273..  - 10*b19 + x209 =L= 0;

e274..  - 10*b20 + x212 =L= 0;

e275..  - 10*b11 + x186 =L= 0;

e276..  - 10*b12 + x189 =L= 0;

e277..  - 10*b13 + x192 =L= 0;

e278..  - 10*b14 + x195 =L= 0;

e279..  - 10*b15 + x198 =L= 0;

e280..  - 10*b16 + x201 =L= 0;

e281..  - 10*b17 + x204 =L= 0;

e282..  - 10*b18 + x207 =L= 0;

e283..  - 10*b19 + x210 =L= 0;

e284..  - 10*b20 + x213 =L= 0;

e285..  - 10*b11 + x187 =L= 0;

e286..  - 10*b12 + x190 =L= 0;

e287..  - 10*b13 + x193 =L= 0;

e288..  - 10*b14 + x196 =L= 0;

e289..  - 10*b15 + x199 =L= 0;

e290..  - 10*b16 + x202 =L= 0;

e291..  - 10*b17 + x205 =L= 0;

e292..  - 10*b18 + x208 =L= 0;

e293..  - 10*b19 + x211 =L= 0;

e294..  - 10*b20 + x214 =L= 0;

e295..  - 10*b21 + x215 =L= 0;

e296..  - 10*b22 + x218 =L= 0;

e297..  - 10*b23 + x221 =L= 0;

e298..  - 10*b24 + x224 =L= 0;

e299..  - 10*b25 + x227 =L= 0;

e300..  - 10*b26 + x230 =L= 0;

e301..  - 10*b27 + x233 =L= 0;

e302..  - 10*b28 + x236 =L= 0;

e303..  - 10*b29 + x239 =L= 0;

e304..  - 10*b30 + x242 =L= 0;

e305..  - 10*b21 + x216 =L= 0;

e306..  - 10*b22 + x219 =L= 0;

e307..  - 10*b23 + x222 =L= 0;

e308..  - 10*b24 + x225 =L= 0;

e309..  - 10*b25 + x228 =L= 0;

e310..  - 10*b26 + x231 =L= 0;

e311..  - 10*b27 + x234 =L= 0;

e312..  - 10*b28 + x237 =L= 0;

e313..  - 10*b29 + x240 =L= 0;

e314..  - 10*b30 + x243 =L= 0;

e315..  - 10*b21 + x217 =L= 0;

e316..  - 10*b22 + x220 =L= 0;

e317..  - 10*b23 + x223 =L= 0;

e318..  - 10*b24 + x226 =L= 0;

e319..  - 10*b25 + x229 =L= 0;

e320..  - 10*b26 + x232 =L= 0;

e321..  - 10*b27 + x235 =L= 0;

e322..  - 10*b28 + x238 =L= 0;

e323..  - 10*b29 + x241 =L= 0;

e324..  - 10*b30 + x244 =L= 0;

e325..  - 10*b31 + x245 =L= 0;

e326..  - 10*b32 + x248 =L= 0;

e327..  - 10*b33 + x251 =L= 0;

e328..  - 10*b34 + x254 =L= 0;

e329..  - 10*b35 + x257 =L= 0;

e330..  - 10*b36 + x260 =L= 0;

e331..  - 10*b37 + x263 =L= 0;

e332..  - 10*b38 + x266 =L= 0;

e333..  - 10*b39 + x269 =L= 0;

e334..  - 10*b40 + x272 =L= 0;

e335..  - 10*b31 + x246 =L= 0;

e336..  - 10*b32 + x249 =L= 0;

e337..  - 10*b33 + x252 =L= 0;

e338..  - 10*b34 + x255 =L= 0;

e339..  - 10*b35 + x258 =L= 0;

e340..  - 10*b36 + x261 =L= 0;

e341..  - 10*b37 + x264 =L= 0;

e342..  - 10*b38 + x267 =L= 0;

e343..  - 10*b39 + x270 =L= 0;

e344..  - 10*b40 + x273 =L= 0;

e345..  - 10*b31 + x247 =L= 0;

e346..  - 10*b32 + x250 =L= 0;

e347..  - 10*b33 + x253 =L= 0;

e348..  - 10*b34 + x256 =L= 0;

e349..  - 10*b35 + x259 =L= 0;

e350..  - 10*b36 + x262 =L= 0;

e351..  - 10*b37 + x265 =L= 0;

e352..  - 10*b38 + x268 =L= 0;

e353..  - 10*b39 + x271 =L= 0;

e354..  - 10*b40 + x274 =L= 0;

e355..  - 10*b41 + x275 =L= 0;

e356..  - 10*b42 + x278 =L= 0;

e357..  - 10*b43 + x281 =L= 0;

e358..  - 10*b44 + x284 =L= 0;

e359..  - 10*b45 + x287 =L= 0;

e360..  - 10*b46 + x290 =L= 0;

e361..  - 10*b47 + x293 =L= 0;

e362..  - 10*b48 + x296 =L= 0;

e363..  - 10*b49 + x299 =L= 0;

e364..  - 10*b50 + x302 =L= 0;

e365..  - 10*b41 + x276 =L= 0;

e366..  - 10*b42 + x279 =L= 0;

e367..  - 10*b43 + x282 =L= 0;

e368..  - 10*b44 + x285 =L= 0;

e369..  - 10*b45 + x288 =L= 0;

e370..  - 10*b46 + x291 =L= 0;

e371..  - 10*b47 + x294 =L= 0;

e372..  - 10*b48 + x297 =L= 0;

e373..  - 10*b49 + x300 =L= 0;

e374..  - 10*b50 + x303 =L= 0;

e375..  - 10*b41 + x277 =L= 0;

e376..  - 10*b42 + x280 =L= 0;

e377..  - 10*b43 + x283 =L= 0;

e378..  - 10*b44 + x286 =L= 0;

e379..  - 10*b45 + x289 =L= 0;

e380..  - 10*b46 + x292 =L= 0;

e381..  - 10*b47 + x295 =L= 0;

e382..  - 10*b48 + x298 =L= 0;

e383..  - 10*b49 + x301 =L= 0;

e384..  - 10*b50 + x304 =L= 0;

e385..  - 10*b51 + x305 =L= 0;

e386..  - 10*b52 + x308 =L= 0;

e387..  - 10*b53 + x311 =L= 0;

e388..  - 10*b54 + x314 =L= 0;

e389..  - 10*b55 + x317 =L= 0;

e390..  - 10*b56 + x320 =L= 0;

e391..  - 10*b57 + x323 =L= 0;

e392..  - 10*b58 + x326 =L= 0;

e393..  - 10*b59 + x329 =L= 0;

e394..  - 10*b60 + x332 =L= 0;

e395..  - 10*b51 + x306 =L= 0;

e396..  - 10*b52 + x309 =L= 0;

e397..  - 10*b53 + x312 =L= 0;

e398..  - 10*b54 + x315 =L= 0;

e399..  - 10*b55 + x318 =L= 0;

e400..  - 10*b56 + x321 =L= 0;

e401..  - 10*b57 + x324 =L= 0;

e402..  - 10*b58 + x327 =L= 0;

e403..  - 10*b59 + x330 =L= 0;

e404..  - 10*b60 + x333 =L= 0;

e405..  - 10*b51 + x307 =L= 0;

e406..  - 10*b52 + x310 =L= 0;

e407..  - 10*b53 + x313 =L= 0;

e408..  - 10*b54 + x316 =L= 0;

e409..  - 10*b55 + x319 =L= 0;

e410..  - 10*b56 + x322 =L= 0;

e411..  - 10*b57 + x325 =L= 0;

e412..  - 10*b58 + x328 =L= 0;

e413..  - 10*b59 + x331 =L= 0;

e414..  - 10*b60 + x334 =L= 0;

e415..  - 10*b61 + x335 =L= 0;

e416..  - 10*b62 + x338 =L= 0;

e417..  - 10*b63 + x341 =L= 0;

e418..  - 10*b64 + x344 =L= 0;

e419..  - 10*b65 + x347 =L= 0;

e420..  - 10*b66 + x350 =L= 0;

e421..  - 10*b67 + x353 =L= 0;

e422..  - 10*b68 + x356 =L= 0;

e423..  - 10*b69 + x359 =L= 0;

e424..  - 10*b70 + x362 =L= 0;

e425..  - 10*b61 + x336 =L= 0;

e426..  - 10*b62 + x339 =L= 0;

e427..  - 10*b63 + x342 =L= 0;

e428..  - 10*b64 + x345 =L= 0;

e429..  - 10*b65 + x348 =L= 0;

e430..  - 10*b66 + x351 =L= 0;

e431..  - 10*b67 + x354 =L= 0;

e432..  - 10*b68 + x357 =L= 0;

e433..  - 10*b69 + x360 =L= 0;

e434..  - 10*b70 + x363 =L= 0;

e435..  - 10*b61 + x337 =L= 0;

e436..  - 10*b62 + x340 =L= 0;

e437..  - 10*b63 + x343 =L= 0;

e438..  - 10*b64 + x346 =L= 0;

e439..  - 10*b65 + x349 =L= 0;

e440..  - 10*b66 + x352 =L= 0;

e441..  - 10*b67 + x355 =L= 0;

e442..  - 10*b68 + x358 =L= 0;

e443..  - 10*b69 + x361 =L= 0;

e444..  - 10*b70 + x364 =L= 0;

e445..    x71 - x72 =L= 0;

e446..    x72 - x80 =L= 0;

e447..    x80 - x86 =L= 0;

e448..    x86 - x92 =L= 0;

e449..    x92 - x98 =L= 0;

e450..    x98 - x104 =L= 0;

e451..  - x73 - x76 - x79 - x81 - x83 - x85 - x87 - x89 - x91 - x93 - x95 - x97
        - x99 - x101 - x103 - x105 - x107 - x109 - x110 - x111 - x112 - x113
        - x114 - x115 - x116 - x117 - x118 - x119 - x120 - x121 - x122 - x123
        - x124 - x125 - x126 - x127 - x128 - x129 - x130 - x131 - x132 - x133
        - x134 - x135 - x136 - x137 - x138 - x139 - x140 - x141 - x142 - x143
        - x144 - x145 - x146 - x147 - x148 - x149 - x150 - x151 - x152 - x153
        - x154 + objvar =E= 0;

* set non-default bounds
x71.up = 10;
x72.up = 10;
x73.up = 10;
x74.up = 10;
x75.up = 10;
x76.up = 10;
x77.up = 10;
x78.up = 10;
x79.up = 10;
x80.up = 10;
x81.up = 10;
x82.up = 10;
x83.up = 10;
x84.up = 10;
x85.up = 10;
x86.up = 10;
x87.up = 10;
x88.up = 10;
x89.up = 10;
x90.up = 10;
x91.up = 10;
x92.up = 10;
x93.up = 10;
x94.up = 10;
x95.up = 10;
x96.up = 10;
x97.up = 10;
x98.up = 10;
x99.up = 10;
x100.up = 10;
x101.up = 10;
x102.up = 10;
x103.up = 10;
x104.up = 10;
x105.up = 10;
x106.up = 10;
x107.up = 10;
x108.up = 10;
x109.up = 10;
x110.up = 10;
x111.up = 10;
x112.up = 10;
x113.up = 10;
x114.up = 10;
x115.up = 10;
x116.up = 10;
x117.up = 10;
x118.up = 10;
x119.up = 10;
x120.up = 10;
x121.up = 10;
x122.up = 10;
x123.up = 10;
x124.up = 10;
x125.up = 10;
x126.up = 10;
x127.up = 10;
x128.up = 10;
x129.up = 10;
x130.up = 10;
x131.up = 10;
x132.up = 10;
x133.up = 10;
x134.up = 10;
x135.up = 10;
x136.up = 10;
x137.up = 10;
x138.up = 10;
x139.up = 10;
x140.up = 10;
x141.up = 10;
x142.up = 10;
x143.up = 10;
x144.up = 10;
x145.up = 10;
x146.up = 10;
x147.up = 10;
x148.up = 10;
x149.up = 10;
x150.up = 10;
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;

Model m / all /;

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

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

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


Last updated: 2022-04-26 Git hash: de668763
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