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Instance p_ball_20b_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 20 balls with radius one.
This is a convex-hull formulation.
Formats ams gms mod nl osil py
Primal Bounds (infeas ≤ 1e-08)
2.43717509 p1 ( gdx sol )
(infeas: 1e-13)
Other points (infeas > 1e-08)  
Dual Bounds
2.43670454 (ALPHAECP)
2.43717509 (ANTIGONE)
2.43716169 (BARON)
2.43717508 (BONMIN)
2.43716690 (COUENNE)
2.43717509 (LINDO)
2.43717267 (SCIP)
2.43714248 (SHOT)
References Kronqvist, Jan and Misener, Ruth, A disjunctive cut strengthening technique for convex MINLP, Tech. Rep., 2020.
Source p_ball_20b_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 330
#Binary Variables 100
#Integer Variables 0
#Nonlinear Variables 300
#Nonlinear Binary Variables 100
#Nonlinear Integer Variables 0
Objective Sense min
Objective type linear
Objective curvature linear
#Nonzeros in Objective 20
#Nonlinear Nonzeros in Objective 0
#Constraints 379
#Linear Constraints 279
#Quadratic Constraints 0
#Polynomial Constraints 0
#Signomial Constraints 0
#General Nonlinear Constraints 100
Operands in Gen. Nonlin. Functions div mul sqr
Constraints curvature convex
#Nonzeros in Jacobian 1238
#Nonlinear Nonzeros in Jacobian 300
#Nonzeros in (Upper-Left) Hessian of Lagrangian 700
#Nonzeros in Diagonal of Hessian of Lagrangian 300
#Blocks in Hessian of Lagrangian 100
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 2.5650e-10
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
*        380       16        0      364        0        0        0        0
*  
*  Variable counts
*                   x        b        i      s1s      s2s       sc       si
*      Total     cont   binary  integer     sos1     sos2    scont     sint
*        331      231      100        0        0        0        0        0
*  FX      0
*  
*  Nonzero counts
*      Total    const       NL      DLL
*       1259      959      300        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,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,objvar;

Positive Variables  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;

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;

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;


e1..    x101 - x102 - x103 =L= 0;

e2..  - x101 + x102 - x103 =L= 0;

e3..    x104 - x105 - x106 =L= 0;

e4..  - x104 + x105 - x106 =L= 0;

e5..    x101 - x107 - x108 =L= 0;

e6..  - x101 + x107 - x108 =L= 0;

e7..    x104 - x109 - x110 =L= 0;

e8..  - x104 + x109 - x110 =L= 0;

e9..    x101 - x111 - x112 =L= 0;

e10..  - x101 + x111 - x112 =L= 0;

e11..    x104 - x113 - x114 =L= 0;

e12..  - x104 + x113 - x114 =L= 0;

e13..    x101 - x115 - x116 =L= 0;

e14..  - x101 + x115 - x116 =L= 0;

e15..    x104 - x117 - x118 =L= 0;

e16..  - x104 + x117 - x118 =L= 0;

e17..    x102 - x107 - x119 =L= 0;

e18..  - x102 + x107 - x119 =L= 0;

e19..    x105 - x109 - x120 =L= 0;

e20..  - x105 + x109 - x120 =L= 0;

e21..    x102 - x111 - x121 =L= 0;

e22..  - x102 + x111 - x121 =L= 0;

e23..    x105 - x113 - x122 =L= 0;

e24..  - x105 + x113 - x122 =L= 0;

e25..    x102 - x115 - x123 =L= 0;

e26..  - x102 + x115 - x123 =L= 0;

e27..    x105 - x117 - x124 =L= 0;

e28..  - x105 + x117 - x124 =L= 0;

e29..    x107 - x111 - x125 =L= 0;

e30..  - x107 + x111 - x125 =L= 0;

e31..    x109 - x113 - x126 =L= 0;

e32..  - x109 + x113 - x126 =L= 0;

e33..    x107 - x115 - x127 =L= 0;

e34..  - x107 + x115 - x127 =L= 0;

e35..    x109 - x117 - x128 =L= 0;

e36..  - x109 + x117 - x128 =L= 0;

e37..    x111 - x115 - x129 =L= 0;

e38..  - x111 + x115 - x129 =L= 0;

e39..    x113 - x117 - x130 =L= 0;

e40..  - x113 + x117 - x130 =L= 0;

e41.. (-1 + sqr(0.0236753863366035 - x131/(0.0001 + 0.9999*b1)) + sqr(
      0.861938468195851 - x132/(0.0001 + 0.9999*b1)))*(0.0001 + 0.9999*b1) - 
      2.56501553126003e-10*b1 =L= -2.56501553126003E-10;

e42.. (-1 + sqr(1.43095891437813 - x133/(0.0001 + 0.9999*b2)) + sqr(
      5.10831625828775 - x134/(0.0001 + 0.9999*b2)))*(0.0001 + 0.9999*b2) + 
      0.00271425384093252*b2 =L= 0.00271425384093252;

e43.. (-1 + sqr(1.21379363277567 - x135/(0.0001 + 0.9999*b3)) + sqr(
      3.00432848540233 - x136/(0.0001 + 0.9999*b3)))*(0.0001 + 0.9999*b3) + 
      0.000949928463116658*b3 =L= 0.000949928463116658;

e44.. (-1 + sqr(8.84443217821809 - x137/(0.0001 + 0.9999*b4)) + sqr(
      0.384566405581435 - x138/(0.0001 + 0.9999*b4)))*(0.0001 + 0.9999*b4) + 
      0.00773718718754014*b4 =L= 0.00773718718754014;

e45.. (-1 + sqr(5.88364087295228 - x139/(0.0001 + 0.9999*b5)) + sqr(
      7.44470191338639 - x140/(0.0001 + 0.9999*b5)))*(0.0001 + 0.9999*b5) + 
      0.00890408165010537*b5 =L= 0.00890408165010537;

e46.. (-1 + sqr(8.07096798042338 - x141/(0.0001 + 0.9999*b6)) + sqr(
      5.55715186969177 - x142/(0.0001 + 0.9999*b6)))*(0.0001 + 0.9999*b6) + 
      0.00950224610438383*b6 =L= 0.00950224610438383;

e47.. (-1 + sqr(9.60611615222079 - x143/(0.0001 + 0.9999*b7)) + sqr(
      3.49008429472371 - x144/(0.0001 + 0.9999*b7)))*(0.0001 + 0.9999*b7) + 
      0.0103458155914234*b7 =L= 0.0103458155914234;

e48.. (-1 + sqr(3.8828653966979 - x145/(0.0001 + 0.9999*b8)) + sqr(
      5.56627471425883 - x146/(0.0001 + 0.9999*b8)))*(0.0001 + 0.9999*b8) + 
      0.00450600578834712*b8 =L= 0.00450600578834712;

e49.. (-1 + sqr(3.47709171076729 - x147/(0.0001 + 0.9999*b9)) + sqr(
      1.01589173470293 - x148/(0.0001 + 0.9999*b9)))*(0.0001 + 0.9999*b9) + 
      0.00121222027817244*b9 =L= 0.00121222027817244;

e50.. (-1 + sqr(3.29737974336435 - x149/(0.0001 + 0.9999*b10)) + sqr(
      4.14110922298337 - x150/(0.0001 + 0.9999*b10)))*(0.0001 + 0.9999*b10) + 
      0.00270214987686275*b10 =L= 0.00270214987686275;

e51.. (-1 + sqr(8.28345883424477 - x151/(0.0001 + 0.9999*b11)) + sqr(
      7.50806458757389 - x152/(0.0001 + 0.9999*b11)))*(0.0001 + 0.9999*b11) + 
      0.0123986724109809*b11 =L= 0.0123986724109809;

e52.. (-1 + sqr(5.4084966970588 - x153/(0.0001 + 0.9999*b12)) + sqr(
      7.74684442267358 - x154/(0.0001 + 0.9999*b12)))*(0.0001 + 0.9999*b12) + 
      0.00882654350312048*b12 =L= 0.00882654350312048;

e53.. (-1 + sqr(3.43292425314245 - x155/(0.0001 + 0.9999*b13)) + sqr(
      7.8299358039566 - x156/(0.0001 + 0.9999*b13)))*(0.0001 + 0.9999*b13) + 
      0.00720928636218951*b13 =L= 0.00720928636218951;

e54.. (-1 + sqr(8.35004447905012 - x157/(0.0001 + 0.9999*b14)) + sqr(
      1.33263454148094 - x158/(0.0001 + 0.9999*b14)))*(0.0001 + 0.9999*b14) + 
      0.00704991576232635*b14 =L= 0.00704991576232635;

e55.. (-1 + sqr(2.65420450303518 - x159/(0.0001 + 0.9999*b15)) + sqr(
      6.31096321892449 - x160/(0.0001 + 0.9999*b15)))*(0.0001 + 0.9999*b15) + 
      0.004587305829455*b15 =L= 0.004587305829455;

e56.. (-1 + sqr(5.8344315991351 - x161/(0.0001 + 0.9999*b16)) + sqr(
      8.56684140863644 - x162/(0.0001 + 0.9999*b16)))*(0.0001 + 0.9999*b16) + 
      0.0106431363805714*b16 =L= 0.0106431363805714;

e57.. (-1 + sqr(4.10957657319824 - x163/(0.0001 + 0.9999*b17)) + sqr(
      7.8233834211224 - x164/(0.0001 + 0.9999*b17)))*(0.0001 + 0.9999*b17) + 
      0.00770939477648726*b17 =L= 0.00770939477648726;

e58.. (-1 + sqr(7.39474057003054 - x165/(0.0001 + 0.9999*b18)) + sqr(
      2.49738552645804 - x166/(0.0001 + 0.9999*b18)))*(0.0001 + 0.9999*b18) + 
      0.00599191225658178*b18 =L= 0.00599191225658178;

e59.. (-1 + sqr(6.14221519240217 - x167/(0.0001 + 0.9999*b19)) + sqr(
      3.03591203112434 - x168/(0.0001 + 0.9999*b19)))*(0.0001 + 0.9999*b19) + 
      0.00459435693305015*b19 =L= 0.00459435693305015;

e60.. (-1 + sqr(8.26974385940666 - x169/(0.0001 + 0.9999*b20)) + sqr(
      4.22323814320874 - x170/(0.0001 + 0.9999*b20)))*(0.0001 + 0.9999*b20) + 
      0.00852244039144474*b20 =L= 0.00852244039144474;

e61..    b1 + b2 + b3 + b4 + b5 + b6 + b7 + b8 + b9 + b10 + b11 + b12 + b13
       + b14 + b15 + b16 + b17 + b18 + b19 + b20 =E= 1;

e62.. (-1 + sqr(0.0236753863366035 - x171/(0.0001 + 0.9999*b21)) + sqr(
      0.861938468195851 - x172/(0.0001 + 0.9999*b21)))*(0.0001 + 0.9999*b21) - 
      2.56501553126003e-10*b21 =L= -2.56501553126003E-10;

e63.. (-1 + sqr(1.43095891437813 - x173/(0.0001 + 0.9999*b22)) + sqr(
      5.10831625828775 - x174/(0.0001 + 0.9999*b22)))*(0.0001 + 0.9999*b22) + 
      0.00271425384093252*b22 =L= 0.00271425384093252;

e64.. (-1 + sqr(1.21379363277567 - x175/(0.0001 + 0.9999*b23)) + sqr(
      3.00432848540233 - x176/(0.0001 + 0.9999*b23)))*(0.0001 + 0.9999*b23) + 
      0.000949928463116658*b23 =L= 0.000949928463116658;

e65.. (-1 + sqr(8.84443217821809 - x177/(0.0001 + 0.9999*b24)) + sqr(
      0.384566405581435 - x178/(0.0001 + 0.9999*b24)))*(0.0001 + 0.9999*b24) + 
      0.00773718718754014*b24 =L= 0.00773718718754014;

e66.. (-1 + sqr(5.88364087295228 - x179/(0.0001 + 0.9999*b25)) + sqr(
      7.44470191338639 - x180/(0.0001 + 0.9999*b25)))*(0.0001 + 0.9999*b25) + 
      0.00890408165010537*b25 =L= 0.00890408165010537;

e67.. (-1 + sqr(8.07096798042338 - x181/(0.0001 + 0.9999*b26)) + sqr(
      5.55715186969177 - x182/(0.0001 + 0.9999*b26)))*(0.0001 + 0.9999*b26) + 
      0.00950224610438383*b26 =L= 0.00950224610438383;

e68.. (-1 + sqr(9.60611615222079 - x183/(0.0001 + 0.9999*b27)) + sqr(
      3.49008429472371 - x184/(0.0001 + 0.9999*b27)))*(0.0001 + 0.9999*b27) + 
      0.0103458155914234*b27 =L= 0.0103458155914234;

e69.. (-1 + sqr(3.8828653966979 - x185/(0.0001 + 0.9999*b28)) + sqr(
      5.56627471425883 - x186/(0.0001 + 0.9999*b28)))*(0.0001 + 0.9999*b28) + 
      0.00450600578834712*b28 =L= 0.00450600578834712;

e70.. (-1 + sqr(3.47709171076729 - x187/(0.0001 + 0.9999*b29)) + sqr(
      1.01589173470293 - x188/(0.0001 + 0.9999*b29)))*(0.0001 + 0.9999*b29) + 
      0.00121222027817244*b29 =L= 0.00121222027817244;

e71.. (-1 + sqr(3.29737974336435 - x189/(0.0001 + 0.9999*b30)) + sqr(
      4.14110922298337 - x190/(0.0001 + 0.9999*b30)))*(0.0001 + 0.9999*b30) + 
      0.00270214987686275*b30 =L= 0.00270214987686275;

e72.. (-1 + sqr(8.28345883424477 - x191/(0.0001 + 0.9999*b31)) + sqr(
      7.50806458757389 - x192/(0.0001 + 0.9999*b31)))*(0.0001 + 0.9999*b31) + 
      0.0123986724109809*b31 =L= 0.0123986724109809;

e73.. (-1 + sqr(5.4084966970588 - x193/(0.0001 + 0.9999*b32)) + sqr(
      7.74684442267358 - x194/(0.0001 + 0.9999*b32)))*(0.0001 + 0.9999*b32) + 
      0.00882654350312048*b32 =L= 0.00882654350312048;

e74.. (-1 + sqr(3.43292425314245 - x195/(0.0001 + 0.9999*b33)) + sqr(
      7.8299358039566 - x196/(0.0001 + 0.9999*b33)))*(0.0001 + 0.9999*b33) + 
      0.00720928636218951*b33 =L= 0.00720928636218951;

e75.. (-1 + sqr(8.35004447905012 - x197/(0.0001 + 0.9999*b34)) + sqr(
      1.33263454148094 - x198/(0.0001 + 0.9999*b34)))*(0.0001 + 0.9999*b34) + 
      0.00704991576232635*b34 =L= 0.00704991576232635;

e76.. (-1 + sqr(2.65420450303518 - x199/(0.0001 + 0.9999*b35)) + sqr(
      6.31096321892449 - x200/(0.0001 + 0.9999*b35)))*(0.0001 + 0.9999*b35) + 
      0.004587305829455*b35 =L= 0.004587305829455;

e77.. (-1 + sqr(5.8344315991351 - x201/(0.0001 + 0.9999*b36)) + sqr(
      8.56684140863644 - x202/(0.0001 + 0.9999*b36)))*(0.0001 + 0.9999*b36) + 
      0.0106431363805714*b36 =L= 0.0106431363805714;

e78.. (-1 + sqr(4.10957657319824 - x203/(0.0001 + 0.9999*b37)) + sqr(
      7.8233834211224 - x204/(0.0001 + 0.9999*b37)))*(0.0001 + 0.9999*b37) + 
      0.00770939477648726*b37 =L= 0.00770939477648726;

e79.. (-1 + sqr(7.39474057003054 - x205/(0.0001 + 0.9999*b38)) + sqr(
      2.49738552645804 - x206/(0.0001 + 0.9999*b38)))*(0.0001 + 0.9999*b38) + 
      0.00599191225658178*b38 =L= 0.00599191225658178;

e80.. (-1 + sqr(6.14221519240217 - x207/(0.0001 + 0.9999*b39)) + sqr(
      3.03591203112434 - x208/(0.0001 + 0.9999*b39)))*(0.0001 + 0.9999*b39) + 
      0.00459435693305015*b39 =L= 0.00459435693305015;

e81.. (-1 + sqr(8.26974385940666 - x209/(0.0001 + 0.9999*b40)) + sqr(
      4.22323814320874 - x210/(0.0001 + 0.9999*b40)))*(0.0001 + 0.9999*b40) + 
      0.00852244039144474*b40 =L= 0.00852244039144474;

e82..    b21 + b22 + b23 + b24 + b25 + b26 + b27 + b28 + b29 + b30 + b31 + b32
       + b33 + b34 + b35 + b36 + b37 + b38 + b39 + b40 =E= 1;

e83.. (-1 + sqr(0.0236753863366035 - x211/(0.0001 + 0.9999*b41)) + sqr(
      0.861938468195851 - x212/(0.0001 + 0.9999*b41)))*(0.0001 + 0.9999*b41) - 
      2.56501553126003e-10*b41 =L= -2.56501553126003E-10;

e84.. (-1 + sqr(1.43095891437813 - x213/(0.0001 + 0.9999*b42)) + sqr(
      5.10831625828775 - x214/(0.0001 + 0.9999*b42)))*(0.0001 + 0.9999*b42) + 
      0.00271425384093252*b42 =L= 0.00271425384093252;

e85.. (-1 + sqr(1.21379363277567 - x215/(0.0001 + 0.9999*b43)) + sqr(
      3.00432848540233 - x216/(0.0001 + 0.9999*b43)))*(0.0001 + 0.9999*b43) + 
      0.000949928463116658*b43 =L= 0.000949928463116658;

e86.. (-1 + sqr(8.84443217821809 - x217/(0.0001 + 0.9999*b44)) + sqr(
      0.384566405581435 - x218/(0.0001 + 0.9999*b44)))*(0.0001 + 0.9999*b44) + 
      0.00773718718754014*b44 =L= 0.00773718718754014;

e87.. (-1 + sqr(5.88364087295228 - x219/(0.0001 + 0.9999*b45)) + sqr(
      7.44470191338639 - x220/(0.0001 + 0.9999*b45)))*(0.0001 + 0.9999*b45) + 
      0.00890408165010537*b45 =L= 0.00890408165010537;

e88.. (-1 + sqr(8.07096798042338 - x221/(0.0001 + 0.9999*b46)) + sqr(
      5.55715186969177 - x222/(0.0001 + 0.9999*b46)))*(0.0001 + 0.9999*b46) + 
      0.00950224610438383*b46 =L= 0.00950224610438383;

e89.. (-1 + sqr(9.60611615222079 - x223/(0.0001 + 0.9999*b47)) + sqr(
      3.49008429472371 - x224/(0.0001 + 0.9999*b47)))*(0.0001 + 0.9999*b47) + 
      0.0103458155914234*b47 =L= 0.0103458155914234;

e90.. (-1 + sqr(3.8828653966979 - x225/(0.0001 + 0.9999*b48)) + sqr(
      5.56627471425883 - x226/(0.0001 + 0.9999*b48)))*(0.0001 + 0.9999*b48) + 
      0.00450600578834712*b48 =L= 0.00450600578834712;

e91.. (-1 + sqr(3.47709171076729 - x227/(0.0001 + 0.9999*b49)) + sqr(
      1.01589173470293 - x228/(0.0001 + 0.9999*b49)))*(0.0001 + 0.9999*b49) + 
      0.00121222027817244*b49 =L= 0.00121222027817244;

e92.. (-1 + sqr(3.29737974336435 - x229/(0.0001 + 0.9999*b50)) + sqr(
      4.14110922298337 - x230/(0.0001 + 0.9999*b50)))*(0.0001 + 0.9999*b50) + 
      0.00270214987686275*b50 =L= 0.00270214987686275;

e93.. (-1 + sqr(8.28345883424477 - x231/(0.0001 + 0.9999*b51)) + sqr(
      7.50806458757389 - x232/(0.0001 + 0.9999*b51)))*(0.0001 + 0.9999*b51) + 
      0.0123986724109809*b51 =L= 0.0123986724109809;

e94.. (-1 + sqr(5.4084966970588 - x233/(0.0001 + 0.9999*b52)) + sqr(
      7.74684442267358 - x234/(0.0001 + 0.9999*b52)))*(0.0001 + 0.9999*b52) + 
      0.00882654350312048*b52 =L= 0.00882654350312048;

e95.. (-1 + sqr(3.43292425314245 - x235/(0.0001 + 0.9999*b53)) + sqr(
      7.8299358039566 - x236/(0.0001 + 0.9999*b53)))*(0.0001 + 0.9999*b53) + 
      0.00720928636218951*b53 =L= 0.00720928636218951;

e96.. (-1 + sqr(8.35004447905012 - x237/(0.0001 + 0.9999*b54)) + sqr(
      1.33263454148094 - x238/(0.0001 + 0.9999*b54)))*(0.0001 + 0.9999*b54) + 
      0.00704991576232635*b54 =L= 0.00704991576232635;

e97.. (-1 + sqr(2.65420450303518 - x239/(0.0001 + 0.9999*b55)) + sqr(
      6.31096321892449 - x240/(0.0001 + 0.9999*b55)))*(0.0001 + 0.9999*b55) + 
      0.004587305829455*b55 =L= 0.004587305829455;

e98.. (-1 + sqr(5.8344315991351 - x241/(0.0001 + 0.9999*b56)) + sqr(
      8.56684140863644 - x242/(0.0001 + 0.9999*b56)))*(0.0001 + 0.9999*b56) + 
      0.0106431363805714*b56 =L= 0.0106431363805714;

e99.. (-1 + sqr(4.10957657319824 - x243/(0.0001 + 0.9999*b57)) + sqr(
      7.8233834211224 - x244/(0.0001 + 0.9999*b57)))*(0.0001 + 0.9999*b57) + 
      0.00770939477648726*b57 =L= 0.00770939477648726;

e100.. (-1 + sqr(7.39474057003054 - x245/(0.0001 + 0.9999*b58)) + sqr(
       2.49738552645804 - x246/(0.0001 + 0.9999*b58)))*(0.0001 + 0.9999*b58) + 
       0.00599191225658178*b58 =L= 0.00599191225658178;

e101.. (-1 + sqr(6.14221519240217 - x247/(0.0001 + 0.9999*b59)) + sqr(
       3.03591203112434 - x248/(0.0001 + 0.9999*b59)))*(0.0001 + 0.9999*b59) + 
       0.00459435693305015*b59 =L= 0.00459435693305015;

e102.. (-1 + sqr(8.26974385940666 - x249/(0.0001 + 0.9999*b60)) + sqr(
       4.22323814320874 - x250/(0.0001 + 0.9999*b60)))*(0.0001 + 0.9999*b60) + 
       0.00852244039144474*b60 =L= 0.00852244039144474;

e103..    b41 + b42 + b43 + b44 + b45 + b46 + b47 + b48 + b49 + b50 + b51 + b52
        + b53 + b54 + b55 + b56 + b57 + b58 + b59 + b60 =E= 1;

e104.. (-1 + sqr(0.0236753863366035 - x251/(0.0001 + 0.9999*b61)) + sqr(
       0.861938468195851 - x252/(0.0001 + 0.9999*b61)))*(0.0001 + 0.9999*b61)
        - 2.56501553126003e-10*b61 =L= -2.56501553126003E-10;

e105.. (-1 + sqr(1.43095891437813 - x253/(0.0001 + 0.9999*b62)) + sqr(
       5.10831625828775 - x254/(0.0001 + 0.9999*b62)))*(0.0001 + 0.9999*b62) + 
       0.00271425384093252*b62 =L= 0.00271425384093252;

e106.. (-1 + sqr(1.21379363277567 - x255/(0.0001 + 0.9999*b63)) + sqr(
       3.00432848540233 - x256/(0.0001 + 0.9999*b63)))*(0.0001 + 0.9999*b63) + 
       0.000949928463116658*b63 =L= 0.000949928463116658;

e107.. (-1 + sqr(8.84443217821809 - x257/(0.0001 + 0.9999*b64)) + sqr(
       0.384566405581435 - x258/(0.0001 + 0.9999*b64)))*(0.0001 + 0.9999*b64)
        + 0.00773718718754014*b64 =L= 0.00773718718754014;

e108.. (-1 + sqr(5.88364087295228 - x259/(0.0001 + 0.9999*b65)) + sqr(
       7.44470191338639 - x260/(0.0001 + 0.9999*b65)))*(0.0001 + 0.9999*b65) + 
       0.00890408165010537*b65 =L= 0.00890408165010537;

e109.. (-1 + sqr(8.07096798042338 - x261/(0.0001 + 0.9999*b66)) + sqr(
       5.55715186969177 - x262/(0.0001 + 0.9999*b66)))*(0.0001 + 0.9999*b66) + 
       0.00950224610438383*b66 =L= 0.00950224610438383;

e110.. (-1 + sqr(9.60611615222079 - x263/(0.0001 + 0.9999*b67)) + sqr(
       3.49008429472371 - x264/(0.0001 + 0.9999*b67)))*(0.0001 + 0.9999*b67) + 
       0.0103458155914234*b67 =L= 0.0103458155914234;

e111.. (-1 + sqr(3.8828653966979 - x265/(0.0001 + 0.9999*b68)) + sqr(
       5.56627471425883 - x266/(0.0001 + 0.9999*b68)))*(0.0001 + 0.9999*b68) + 
       0.00450600578834712*b68 =L= 0.00450600578834712;

e112.. (-1 + sqr(3.47709171076729 - x267/(0.0001 + 0.9999*b69)) + sqr(
       1.01589173470293 - x268/(0.0001 + 0.9999*b69)))*(0.0001 + 0.9999*b69) + 
       0.00121222027817244*b69 =L= 0.00121222027817244;

e113.. (-1 + sqr(3.29737974336435 - x269/(0.0001 + 0.9999*b70)) + sqr(
       4.14110922298337 - x270/(0.0001 + 0.9999*b70)))*(0.0001 + 0.9999*b70) + 
       0.00270214987686275*b70 =L= 0.00270214987686275;

e114.. (-1 + sqr(8.28345883424477 - x271/(0.0001 + 0.9999*b71)) + sqr(
       7.50806458757389 - x272/(0.0001 + 0.9999*b71)))*(0.0001 + 0.9999*b71) + 
       0.0123986724109809*b71 =L= 0.0123986724109809;

e115.. (-1 + sqr(5.4084966970588 - x273/(0.0001 + 0.9999*b72)) + sqr(
       7.74684442267358 - x274/(0.0001 + 0.9999*b72)))*(0.0001 + 0.9999*b72) + 
       0.00882654350312048*b72 =L= 0.00882654350312048;

e116.. (-1 + sqr(3.43292425314245 - x275/(0.0001 + 0.9999*b73)) + sqr(
       7.8299358039566 - x276/(0.0001 + 0.9999*b73)))*(0.0001 + 0.9999*b73) + 
       0.00720928636218951*b73 =L= 0.00720928636218951;

e117.. (-1 + sqr(8.35004447905012 - x277/(0.0001 + 0.9999*b74)) + sqr(
       1.33263454148094 - x278/(0.0001 + 0.9999*b74)))*(0.0001 + 0.9999*b74) + 
       0.00704991576232635*b74 =L= 0.00704991576232635;

e118.. (-1 + sqr(2.65420450303518 - x279/(0.0001 + 0.9999*b75)) + sqr(
       6.31096321892449 - x280/(0.0001 + 0.9999*b75)))*(0.0001 + 0.9999*b75) + 
       0.004587305829455*b75 =L= 0.004587305829455;

e119.. (-1 + sqr(5.8344315991351 - x281/(0.0001 + 0.9999*b76)) + sqr(
       8.56684140863644 - x282/(0.0001 + 0.9999*b76)))*(0.0001 + 0.9999*b76) + 
       0.0106431363805714*b76 =L= 0.0106431363805714;

e120.. (-1 + sqr(4.10957657319824 - x283/(0.0001 + 0.9999*b77)) + sqr(
       7.8233834211224 - x284/(0.0001 + 0.9999*b77)))*(0.0001 + 0.9999*b77) + 
       0.00770939477648726*b77 =L= 0.00770939477648726;

e121.. (-1 + sqr(7.39474057003054 - x285/(0.0001 + 0.9999*b78)) + sqr(
       2.49738552645804 - x286/(0.0001 + 0.9999*b78)))*(0.0001 + 0.9999*b78) + 
       0.00599191225658178*b78 =L= 0.00599191225658178;

e122.. (-1 + sqr(6.14221519240217 - x287/(0.0001 + 0.9999*b79)) + sqr(
       3.03591203112434 - x288/(0.0001 + 0.9999*b79)))*(0.0001 + 0.9999*b79) + 
       0.00459435693305015*b79 =L= 0.00459435693305015;

e123.. (-1 + sqr(8.26974385940666 - x289/(0.0001 + 0.9999*b80)) + sqr(
       4.22323814320874 - x290/(0.0001 + 0.9999*b80)))*(0.0001 + 0.9999*b80) + 
       0.00852244039144474*b80 =L= 0.00852244039144474;

e124..    b61 + b62 + b63 + b64 + b65 + b66 + b67 + b68 + b69 + b70 + b71 + b72
        + b73 + b74 + b75 + b76 + b77 + b78 + b79 + b80 =E= 1;

e125.. (-1 + sqr(0.0236753863366035 - x291/(0.0001 + 0.9999*b81)) + sqr(
       0.861938468195851 - x292/(0.0001 + 0.9999*b81)))*(0.0001 + 0.9999*b81)
        - 2.56501553126003e-10*b81 =L= -2.56501553126003E-10;

e126.. (-1 + sqr(1.43095891437813 - x293/(0.0001 + 0.9999*b82)) + sqr(
       5.10831625828775 - x294/(0.0001 + 0.9999*b82)))*(0.0001 + 0.9999*b82) + 
       0.00271425384093252*b82 =L= 0.00271425384093252;

e127.. (-1 + sqr(1.21379363277567 - x295/(0.0001 + 0.9999*b83)) + sqr(
       3.00432848540233 - x296/(0.0001 + 0.9999*b83)))*(0.0001 + 0.9999*b83) + 
       0.000949928463116658*b83 =L= 0.000949928463116658;

e128.. (-1 + sqr(8.84443217821809 - x297/(0.0001 + 0.9999*b84)) + sqr(
       0.384566405581435 - x298/(0.0001 + 0.9999*b84)))*(0.0001 + 0.9999*b84)
        + 0.00773718718754014*b84 =L= 0.00773718718754014;

e129.. (-1 + sqr(5.88364087295228 - x299/(0.0001 + 0.9999*b85)) + sqr(
       7.44470191338639 - x300/(0.0001 + 0.9999*b85)))*(0.0001 + 0.9999*b85) + 
       0.00890408165010537*b85 =L= 0.00890408165010537;

e130.. (-1 + sqr(8.07096798042338 - x301/(0.0001 + 0.9999*b86)) + sqr(
       5.55715186969177 - x302/(0.0001 + 0.9999*b86)))*(0.0001 + 0.9999*b86) + 
       0.00950224610438383*b86 =L= 0.00950224610438383;

e131.. (-1 + sqr(9.60611615222079 - x303/(0.0001 + 0.9999*b87)) + sqr(
       3.49008429472371 - x304/(0.0001 + 0.9999*b87)))*(0.0001 + 0.9999*b87) + 
       0.0103458155914234*b87 =L= 0.0103458155914234;

e132.. (-1 + sqr(3.8828653966979 - x305/(0.0001 + 0.9999*b88)) + sqr(
       5.56627471425883 - x306/(0.0001 + 0.9999*b88)))*(0.0001 + 0.9999*b88) + 
       0.00450600578834712*b88 =L= 0.00450600578834712;

e133.. (-1 + sqr(3.47709171076729 - x307/(0.0001 + 0.9999*b89)) + sqr(
       1.01589173470293 - x308/(0.0001 + 0.9999*b89)))*(0.0001 + 0.9999*b89) + 
       0.00121222027817244*b89 =L= 0.00121222027817244;

e134.. (-1 + sqr(3.29737974336435 - x309/(0.0001 + 0.9999*b90)) + sqr(
       4.14110922298337 - x310/(0.0001 + 0.9999*b90)))*(0.0001 + 0.9999*b90) + 
       0.00270214987686275*b90 =L= 0.00270214987686275;

e135.. (-1 + sqr(8.28345883424477 - x311/(0.0001 + 0.9999*b91)) + sqr(
       7.50806458757389 - x312/(0.0001 + 0.9999*b91)))*(0.0001 + 0.9999*b91) + 
       0.0123986724109809*b91 =L= 0.0123986724109809;

e136.. (-1 + sqr(5.4084966970588 - x313/(0.0001 + 0.9999*b92)) + sqr(
       7.74684442267358 - x314/(0.0001 + 0.9999*b92)))*(0.0001 + 0.9999*b92) + 
       0.00882654350312048*b92 =L= 0.00882654350312048;

e137.. (-1 + sqr(3.43292425314245 - x315/(0.0001 + 0.9999*b93)) + sqr(
       7.8299358039566 - x316/(0.0001 + 0.9999*b93)))*(0.0001 + 0.9999*b93) + 
       0.00720928636218951*b93 =L= 0.00720928636218951;

e138.. (-1 + sqr(8.35004447905012 - x317/(0.0001 + 0.9999*b94)) + sqr(
       1.33263454148094 - x318/(0.0001 + 0.9999*b94)))*(0.0001 + 0.9999*b94) + 
       0.00704991576232635*b94 =L= 0.00704991576232635;

e139.. (-1 + sqr(2.65420450303518 - x319/(0.0001 + 0.9999*b95)) + sqr(
       6.31096321892449 - x320/(0.0001 + 0.9999*b95)))*(0.0001 + 0.9999*b95) + 
       0.004587305829455*b95 =L= 0.004587305829455;

e140.. (-1 + sqr(5.8344315991351 - x321/(0.0001 + 0.9999*b96)) + sqr(
       8.56684140863644 - x322/(0.0001 + 0.9999*b96)))*(0.0001 + 0.9999*b96) + 
       0.0106431363805714*b96 =L= 0.0106431363805714;

e141.. (-1 + sqr(4.10957657319824 - x323/(0.0001 + 0.9999*b97)) + sqr(
       7.8233834211224 - x324/(0.0001 + 0.9999*b97)))*(0.0001 + 0.9999*b97) + 
       0.00770939477648726*b97 =L= 0.00770939477648726;

e142.. (-1 + sqr(7.39474057003054 - x325/(0.0001 + 0.9999*b98)) + sqr(
       2.49738552645804 - x326/(0.0001 + 0.9999*b98)))*(0.0001 + 0.9999*b98) + 
       0.00599191225658178*b98 =L= 0.00599191225658178;

e143.. (-1 + sqr(6.14221519240217 - x327/(0.0001 + 0.9999*b99)) + sqr(
       3.03591203112434 - x328/(0.0001 + 0.9999*b99)))*(0.0001 + 0.9999*b99) + 
       0.00459435693305015*b99 =L= 0.00459435693305015;

e144.. (-1 + sqr(8.26974385940666 - x329/(0.0001 + 0.9999*b100)) + sqr(
       4.22323814320874 - x330/(0.0001 + 0.9999*b100)))*(0.0001 + 0.9999*b100)
        + 0.00852244039144474*b100 =L= 0.00852244039144474;

e145..    b81 + b82 + b83 + b84 + b85 + b86 + b87 + b88 + b89 + b90 + b91 + b92
        + b93 + b94 + b95 + b96 + b97 + b98 + b99 + b100 =E= 1;

e146..    b1 + b21 + b41 + b61 + b81 =L= 1;

e147..    b2 + b22 + b42 + b62 + b82 =L= 1;

e148..    b3 + b23 + b43 + b63 + b83 =L= 1;

e149..    b4 + b24 + b44 + b64 + b84 =L= 1;

e150..    b5 + b25 + b45 + b65 + b85 =L= 1;

e151..    b6 + b26 + b46 + b66 + b86 =L= 1;

e152..    b7 + b27 + b47 + b67 + b87 =L= 1;

e153..    b8 + b28 + b48 + b68 + b88 =L= 1;

e154..    b9 + b29 + b49 + b69 + b89 =L= 1;

e155..    b10 + b30 + b50 + b70 + b90 =L= 1;

e156..    b11 + b31 + b51 + b71 + b91 =L= 1;

e157..    b12 + b32 + b52 + b72 + b92 =L= 1;

e158..    b13 + b33 + b53 + b73 + b93 =L= 1;

e159..    b14 + b34 + b54 + b74 + b94 =L= 1;

e160..    b15 + b35 + b55 + b75 + b95 =L= 1;

e161..    b16 + b36 + b56 + b76 + b96 =L= 1;

e162..    b17 + b37 + b57 + b77 + b97 =L= 1;

e163..    b18 + b38 + b58 + b78 + b98 =L= 1;

e164..    b19 + b39 + b59 + b79 + b99 =L= 1;

e165..    b20 + b40 + b60 + b80 + b100 =L= 1;

e166..  - x101 + x131 + x133 + x135 + x137 + x139 + x141 + x143 + x145 + x147
        + x149 + x151 + x153 + x155 + x157 + x159 + x161 + x163 + x165 + x167
        + x169 =E= 0;

e167..  - x104 + x132 + x134 + x136 + x138 + x140 + x142 + x144 + x146 + x148
        + x150 + x152 + x154 + x156 + x158 + x160 + x162 + x164 + x166 + x168
        + x170 =E= 0;

e168..  - x102 + x171 + x173 + x175 + x177 + x179 + x181 + x183 + x185 + x187
        + x189 + x191 + x193 + x195 + x197 + x199 + x201 + x203 + x205 + x207
        + x209 =E= 0;

e169..  - x105 + x172 + x174 + x176 + x178 + x180 + x182 + x184 + x186 + x188
        + x190 + x192 + x194 + x196 + x198 + x200 + x202 + x204 + x206 + x208
        + x210 =E= 0;

e170..  - x107 + x211 + x213 + x215 + x217 + x219 + x221 + x223 + x225 + x227
        + x229 + x231 + x233 + x235 + x237 + x239 + x241 + x243 + x245 + x247
        + x249 =E= 0;

e171..  - x109 + x212 + x214 + x216 + x218 + x220 + x222 + x224 + x226 + x228
        + x230 + x232 + x234 + x236 + x238 + x240 + x242 + x244 + x246 + x248
        + x250 =E= 0;

e172..  - x111 + x251 + x253 + x255 + x257 + x259 + x261 + x263 + x265 + x267
        + x269 + x271 + x273 + x275 + x277 + x279 + x281 + x283 + x285 + x287
        + x289 =E= 0;

e173..  - x113 + x252 + x254 + x256 + x258 + x260 + x262 + x264 + x266 + x268
        + x270 + x272 + x274 + x276 + x278 + x280 + x282 + x284 + x286 + x288
        + x290 =E= 0;

e174..  - x115 + x291 + x293 + x295 + x297 + x299 + x301 + x303 + x305 + x307
        + x309 + x311 + x313 + x315 + x317 + x319 + x321 + x323 + x325 + x327
        + x329 =E= 0;

e175..  - x117 + x292 + x294 + x296 + x298 + x300 + x302 + x304 + x306 + x308
        + x310 + x312 + x314 + x316 + x318 + x320 + x322 + x324 + x326 + x328
        + x330 =E= 0;

e176..  - 10*b1 + x131 =L= 0;

e177..  - 10*b2 + x133 =L= 0;

e178..  - 10*b3 + x135 =L= 0;

e179..  - 10*b4 + x137 =L= 0;

e180..  - 10*b5 + x139 =L= 0;

e181..  - 10*b6 + x141 =L= 0;

e182..  - 10*b7 + x143 =L= 0;

e183..  - 10*b8 + x145 =L= 0;

e184..  - 10*b9 + x147 =L= 0;

e185..  - 10*b10 + x149 =L= 0;

e186..  - 10*b11 + x151 =L= 0;

e187..  - 10*b12 + x153 =L= 0;

e188..  - 10*b13 + x155 =L= 0;

e189..  - 10*b14 + x157 =L= 0;

e190..  - 10*b15 + x159 =L= 0;

e191..  - 10*b16 + x161 =L= 0;

e192..  - 10*b17 + x163 =L= 0;

e193..  - 10*b18 + x165 =L= 0;

e194..  - 10*b19 + x167 =L= 0;

e195..  - 10*b20 + x169 =L= 0;

e196..  - 10*b1 + x132 =L= 0;

e197..  - 10*b2 + x134 =L= 0;

e198..  - 10*b3 + x136 =L= 0;

e199..  - 10*b4 + x138 =L= 0;

e200..  - 10*b5 + x140 =L= 0;

e201..  - 10*b6 + x142 =L= 0;

e202..  - 10*b7 + x144 =L= 0;

e203..  - 10*b8 + x146 =L= 0;

e204..  - 10*b9 + x148 =L= 0;

e205..  - 10*b10 + x150 =L= 0;

e206..  - 10*b11 + x152 =L= 0;

e207..  - 10*b12 + x154 =L= 0;

e208..  - 10*b13 + x156 =L= 0;

e209..  - 10*b14 + x158 =L= 0;

e210..  - 10*b15 + x160 =L= 0;

e211..  - 10*b16 + x162 =L= 0;

e212..  - 10*b17 + x164 =L= 0;

e213..  - 10*b18 + x166 =L= 0;

e214..  - 10*b19 + x168 =L= 0;

e215..  - 10*b20 + x170 =L= 0;

e216..  - 10*b21 + x171 =L= 0;

e217..  - 10*b22 + x173 =L= 0;

e218..  - 10*b23 + x175 =L= 0;

e219..  - 10*b24 + x177 =L= 0;

e220..  - 10*b25 + x179 =L= 0;

e221..  - 10*b26 + x181 =L= 0;

e222..  - 10*b27 + x183 =L= 0;

e223..  - 10*b28 + x185 =L= 0;

e224..  - 10*b29 + x187 =L= 0;

e225..  - 10*b30 + x189 =L= 0;

e226..  - 10*b31 + x191 =L= 0;

e227..  - 10*b32 + x193 =L= 0;

e228..  - 10*b33 + x195 =L= 0;

e229..  - 10*b34 + x197 =L= 0;

e230..  - 10*b35 + x199 =L= 0;

e231..  - 10*b36 + x201 =L= 0;

e232..  - 10*b37 + x203 =L= 0;

e233..  - 10*b38 + x205 =L= 0;

e234..  - 10*b39 + x207 =L= 0;

e235..  - 10*b40 + x209 =L= 0;

e236..  - 10*b21 + x172 =L= 0;

e237..  - 10*b22 + x174 =L= 0;

e238..  - 10*b23 + x176 =L= 0;

e239..  - 10*b24 + x178 =L= 0;

e240..  - 10*b25 + x180 =L= 0;

e241..  - 10*b26 + x182 =L= 0;

e242..  - 10*b27 + x184 =L= 0;

e243..  - 10*b28 + x186 =L= 0;

e244..  - 10*b29 + x188 =L= 0;

e245..  - 10*b30 + x190 =L= 0;

e246..  - 10*b31 + x192 =L= 0;

e247..  - 10*b32 + x194 =L= 0;

e248..  - 10*b33 + x196 =L= 0;

e249..  - 10*b34 + x198 =L= 0;

e250..  - 10*b35 + x200 =L= 0;

e251..  - 10*b36 + x202 =L= 0;

e252..  - 10*b37 + x204 =L= 0;

e253..  - 10*b38 + x206 =L= 0;

e254..  - 10*b39 + x208 =L= 0;

e255..  - 10*b40 + x210 =L= 0;

e256..  - 10*b41 + x211 =L= 0;

e257..  - 10*b42 + x213 =L= 0;

e258..  - 10*b43 + x215 =L= 0;

e259..  - 10*b44 + x217 =L= 0;

e260..  - 10*b45 + x219 =L= 0;

e261..  - 10*b46 + x221 =L= 0;

e262..  - 10*b47 + x223 =L= 0;

e263..  - 10*b48 + x225 =L= 0;

e264..  - 10*b49 + x227 =L= 0;

e265..  - 10*b50 + x229 =L= 0;

e266..  - 10*b51 + x231 =L= 0;

e267..  - 10*b52 + x233 =L= 0;

e268..  - 10*b53 + x235 =L= 0;

e269..  - 10*b54 + x237 =L= 0;

e270..  - 10*b55 + x239 =L= 0;

e271..  - 10*b56 + x241 =L= 0;

e272..  - 10*b57 + x243 =L= 0;

e273..  - 10*b58 + x245 =L= 0;

e274..  - 10*b59 + x247 =L= 0;

e275..  - 10*b60 + x249 =L= 0;

e276..  - 10*b41 + x212 =L= 0;

e277..  - 10*b42 + x214 =L= 0;

e278..  - 10*b43 + x216 =L= 0;

e279..  - 10*b44 + x218 =L= 0;

e280..  - 10*b45 + x220 =L= 0;

e281..  - 10*b46 + x222 =L= 0;

e282..  - 10*b47 + x224 =L= 0;

e283..  - 10*b48 + x226 =L= 0;

e284..  - 10*b49 + x228 =L= 0;

e285..  - 10*b50 + x230 =L= 0;

e286..  - 10*b51 + x232 =L= 0;

e287..  - 10*b52 + x234 =L= 0;

e288..  - 10*b53 + x236 =L= 0;

e289..  - 10*b54 + x238 =L= 0;

e290..  - 10*b55 + x240 =L= 0;

e291..  - 10*b56 + x242 =L= 0;

e292..  - 10*b57 + x244 =L= 0;

e293..  - 10*b58 + x246 =L= 0;

e294..  - 10*b59 + x248 =L= 0;

e295..  - 10*b60 + x250 =L= 0;

e296..  - 10*b61 + x251 =L= 0;

e297..  - 10*b62 + x253 =L= 0;

e298..  - 10*b63 + x255 =L= 0;

e299..  - 10*b64 + x257 =L= 0;

e300..  - 10*b65 + x259 =L= 0;

e301..  - 10*b66 + x261 =L= 0;

e302..  - 10*b67 + x263 =L= 0;

e303..  - 10*b68 + x265 =L= 0;

e304..  - 10*b69 + x267 =L= 0;

e305..  - 10*b70 + x269 =L= 0;

e306..  - 10*b71 + x271 =L= 0;

e307..  - 10*b72 + x273 =L= 0;

e308..  - 10*b73 + x275 =L= 0;

e309..  - 10*b74 + x277 =L= 0;

e310..  - 10*b75 + x279 =L= 0;

e311..  - 10*b76 + x281 =L= 0;

e312..  - 10*b77 + x283 =L= 0;

e313..  - 10*b78 + x285 =L= 0;

e314..  - 10*b79 + x287 =L= 0;

e315..  - 10*b80 + x289 =L= 0;

e316..  - 10*b61 + x252 =L= 0;

e317..  - 10*b62 + x254 =L= 0;

e318..  - 10*b63 + x256 =L= 0;

e319..  - 10*b64 + x258 =L= 0;

e320..  - 10*b65 + x260 =L= 0;

e321..  - 10*b66 + x262 =L= 0;

e322..  - 10*b67 + x264 =L= 0;

e323..  - 10*b68 + x266 =L= 0;

e324..  - 10*b69 + x268 =L= 0;

e325..  - 10*b70 + x270 =L= 0;

e326..  - 10*b71 + x272 =L= 0;

e327..  - 10*b72 + x274 =L= 0;

e328..  - 10*b73 + x276 =L= 0;

e329..  - 10*b74 + x278 =L= 0;

e330..  - 10*b75 + x280 =L= 0;

e331..  - 10*b76 + x282 =L= 0;

e332..  - 10*b77 + x284 =L= 0;

e333..  - 10*b78 + x286 =L= 0;

e334..  - 10*b79 + x288 =L= 0;

e335..  - 10*b80 + x290 =L= 0;

e336..  - 10*b81 + x291 =L= 0;

e337..  - 10*b82 + x293 =L= 0;

e338..  - 10*b83 + x295 =L= 0;

e339..  - 10*b84 + x297 =L= 0;

e340..  - 10*b85 + x299 =L= 0;

e341..  - 10*b86 + x301 =L= 0;

e342..  - 10*b87 + x303 =L= 0;

e343..  - 10*b88 + x305 =L= 0;

e344..  - 10*b89 + x307 =L= 0;

e345..  - 10*b90 + x309 =L= 0;

e346..  - 10*b91 + x311 =L= 0;

e347..  - 10*b92 + x313 =L= 0;

e348..  - 10*b93 + x315 =L= 0;

e349..  - 10*b94 + x317 =L= 0;

e350..  - 10*b95 + x319 =L= 0;

e351..  - 10*b96 + x321 =L= 0;

e352..  - 10*b97 + x323 =L= 0;

e353..  - 10*b98 + x325 =L= 0;

e354..  - 10*b99 + x327 =L= 0;

e355..  - 10*b100 + x329 =L= 0;

e356..  - 10*b81 + x292 =L= 0;

e357..  - 10*b82 + x294 =L= 0;

e358..  - 10*b83 + x296 =L= 0;

e359..  - 10*b84 + x298 =L= 0;

e360..  - 10*b85 + x300 =L= 0;

e361..  - 10*b86 + x302 =L= 0;

e362..  - 10*b87 + x304 =L= 0;

e363..  - 10*b88 + x306 =L= 0;

e364..  - 10*b89 + x308 =L= 0;

e365..  - 10*b90 + x310 =L= 0;

e366..  - 10*b91 + x312 =L= 0;

e367..  - 10*b92 + x314 =L= 0;

e368..  - 10*b93 + x316 =L= 0;

e369..  - 10*b94 + x318 =L= 0;

e370..  - 10*b95 + x320 =L= 0;

e371..  - 10*b96 + x322 =L= 0;

e372..  - 10*b97 + x324 =L= 0;

e373..  - 10*b98 + x326 =L= 0;

e374..  - 10*b99 + x328 =L= 0;

e375..  - 10*b100 + x330 =L= 0;

e376..    x101 - x102 =L= 0;

e377..    x102 - x107 =L= 0;

e378..    x107 - x111 =L= 0;

e379..    x111 - x115 =L= 0;

e380..  - x103 - x106 - x108 - x110 - x112 - x114 - x116 - x118 - x119 - x120
        - x121 - x122 - x123 - x124 - x125 - x126 - x127 - x128 - x129 - x130
        + objvar =E= 0;

* set non-default bounds
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;

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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