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Instance p_ball_30b_7p_2d_m

Select 7-points in 2-dimensional balls, such that the l1-distance between all points is minimized.
Only one point can be assigned to each ball, and in total there are 30 balls with radius one.
This is a big-M formulation.
Formats ams gms lp mod nl osil pip py
Primal Bounds (infeas ≤ 1e-08)
13.93377572 p1 ( gdx sol )
(infeas: 4e-16)
Other points (infeas > 1e-08)  
Dual Bounds
3.99034568 (ALPHAECP)
13.93370467 (ANTIGONE)
13.93374911 (BARON)
0.00000000 (BONMIN)
0.00000000 (COUENNE)
13.93377571 (CPLEX)
13.93373841 (GUROBI)
2.31641732 (LINDO)
13.93376750 (SCIP)
13.93377572 (SHOT)
References Kronqvist, Jan and Misener, Ruth, A disjunctive cut strengthening technique for convex MINLP, Tech. Rep., 2020.
Source p_ball_30b_7p_2d.gms, contributed by Jan Kronqvist and Ruth Misener
Application Geometry
Added to library 26 Aug 2020
Problem type MBQCP
#Variables 266
#Binary Variables 210
#Integer Variables 0
#Nonlinear Variables 14
#Nonlinear Binary Variables 0
#Nonlinear Integer Variables 0
Objective Sense min
Objective type linear
Objective curvature linear
#Nonzeros in Objective 42
#Nonlinear Nonzeros in Objective 0
#Constraints 337
#Linear Constraints 127
#Quadratic Constraints 210
#Polynomial Constraints 0
#Signomial Constraints 0
#General Nonlinear Constraints 0
Operands in Gen. Nonlin. Functions  
Constraints curvature convex
#Nonzeros in Jacobian 1314
#Nonlinear Nonzeros in Jacobian 420
#Nonzeros in (Upper-Left) Hessian of Lagrangian 14
#Nonzeros in Diagonal of Hessian of Lagrangian 14
#Blocks in Hessian of Lagrangian 14
Minimal blocksize in Hessian of Lagrangian 1
Maximal blocksize in Hessian of Lagrangian 1
Average blocksize in Hessian of Lagrangian 1.0
#Semicontinuities 0
#Nonlinear Semicontinuities 0
#SOS type 1 0
#SOS type 2 0
Minimal coefficient 2.6735e-02
Maximal coefficient 1.7308e+02
Infeasibility of initial point 0.000118
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
*        338        8        0      330        0        0        0        0
*  
*  Variable counts
*                   x        b        i      s1s      s2s       sc       si
*      Total     cont   binary  integer     sos1     sos2    scont     sint
*        267       57      210        0        0        0        0        0
*  FX      0
*  
*  Nonzero counts
*      Total    const       NL      DLL
*       1357      937      420        0
*
*  Solve m using MINLP minimizing objvar;


Variables  b1,b2,b3,b4,b5,b6,b7,b8,b9,b10,b11,b12,b13,b14,b15,b16,b17,b18,b19
          ,b20,b21,b22,b23,b24,b25,b26,b27,b28,b29,b30,b31,b32,b33,b34,b35,b36
          ,b37,b38,b39,b40,b41,b42,b43,b44,b45,b46,b47,b48,b49,b50,b51,b52,b53
          ,b54,b55,b56,b57,b58,b59,b60,b61,b62,b63,b64,b65,b66,b67,b68,b69,b70
          ,b71,b72,b73,b74,b75,b76,b77,b78,b79,b80,b81,b82,b83,b84,b85,b86,b87
          ,b88,b89,b90,b91,b92,b93,b94,b95,b96,b97,b98,b99,b100,b101,b102,b103
          ,b104,b105,b106,b107,b108,b109,b110,b111,b112,b113,b114,b115,b116
          ,b117,b118,b119,b120,b121,b122,b123,b124,b125,b126,b127,b128,b129
          ,b130,b131,b132,b133,b134,b135,b136,b137,b138,b139,b140,b141,b142
          ,b143,b144,b145,b146,b147,b148,b149,b150,b151,b152,b153,b154,b155
          ,b156,b157,b158,b159,b160,b161,b162,b163,b164,b165,b166,b167,b168
          ,b169,b170,b171,b172,b173,b174,b175,b176,b177,b178,b179,b180,b181
          ,b182,b183,b184,b185,b186,b187,b188,b189,b190,b191,b192,b193,b194
          ,b195,b196,b197,b198,b199,b200,b201,b202,b203,b204,b205,b206,b207
          ,b208,b209,b210,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,objvar;

Positive Variables  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;

Binary Variables  b1,b2,b3,b4,b5,b6,b7,b8,b9,b10,b11,b12,b13,b14,b15,b16,b17
          ,b18,b19,b20,b21,b22,b23,b24,b25,b26,b27,b28,b29,b30,b31,b32,b33,b34
          ,b35,b36,b37,b38,b39,b40,b41,b42,b43,b44,b45,b46,b47,b48,b49,b50,b51
          ,b52,b53,b54,b55,b56,b57,b58,b59,b60,b61,b62,b63,b64,b65,b66,b67,b68
          ,b69,b70,b71,b72,b73,b74,b75,b76,b77,b78,b79,b80,b81,b82,b83,b84,b85
          ,b86,b87,b88,b89,b90,b91,b92,b93,b94,b95,b96,b97,b98,b99,b100,b101
          ,b102,b103,b104,b105,b106,b107,b108,b109,b110,b111,b112,b113,b114
          ,b115,b116,b117,b118,b119,b120,b121,b122,b123,b124,b125,b126,b127
          ,b128,b129,b130,b131,b132,b133,b134,b135,b136,b137,b138,b139,b140
          ,b141,b142,b143,b144,b145,b146,b147,b148,b149,b150,b151,b152,b153
          ,b154,b155,b156,b157,b158,b159,b160,b161,b162,b163,b164,b165,b166
          ,b167,b168,b169,b170,b171,b172,b173,b174,b175,b176,b177,b178,b179
          ,b180,b181,b182,b183,b184,b185,b186,b187,b188,b189,b190,b191,b192
          ,b193,b194,b195,b196,b197,b198,b199,b200,b201,b202,b203,b204,b205
          ,b206,b207,b208,b209,b210;

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;


e1..    x211 - x212 - x213 =L= 0;

e2..  - x211 + x212 - x213 =L= 0;

e3..    x214 - x215 - x216 =L= 0;

e4..  - x214 + x215 - x216 =L= 0;

e5..    x211 - x217 - x218 =L= 0;

e6..  - x211 + x217 - x218 =L= 0;

e7..    x214 - x219 - x220 =L= 0;

e8..  - x214 + x219 - x220 =L= 0;

e9..    x211 - x221 - x222 =L= 0;

e10..  - x211 + x221 - x222 =L= 0;

e11..    x214 - x223 - x224 =L= 0;

e12..  - x214 + x223 - x224 =L= 0;

e13..    x211 - x225 - x226 =L= 0;

e14..  - x211 + x225 - x226 =L= 0;

e15..    x214 - x227 - x228 =L= 0;

e16..  - x214 + x227 - x228 =L= 0;

e17..    x211 - x229 - x230 =L= 0;

e18..  - x211 + x229 - x230 =L= 0;

e19..    x214 - x231 - x232 =L= 0;

e20..  - x214 + x231 - x232 =L= 0;

e21..    x211 - x233 - x234 =L= 0;

e22..  - x211 + x233 - x234 =L= 0;

e23..    x214 - x235 - x236 =L= 0;

e24..  - x214 + x235 - x236 =L= 0;

e25..    x212 - x217 - x237 =L= 0;

e26..  - x212 + x217 - x237 =L= 0;

e27..    x215 - x219 - x238 =L= 0;

e28..  - x215 + x219 - x238 =L= 0;

e29..    x212 - x221 - x239 =L= 0;

e30..  - x212 + x221 - x239 =L= 0;

e31..    x215 - x223 - x240 =L= 0;

e32..  - x215 + x223 - x240 =L= 0;

e33..    x212 - x225 - x241 =L= 0;

e34..  - x212 + x225 - x241 =L= 0;

e35..    x215 - x227 - x242 =L= 0;

e36..  - x215 + x227 - x242 =L= 0;

e37..    x212 - x229 - x243 =L= 0;

e38..  - x212 + x229 - x243 =L= 0;

e39..    x215 - x231 - x244 =L= 0;

e40..  - x215 + x231 - x244 =L= 0;

e41..    x212 - x233 - x245 =L= 0;

e42..  - x212 + x233 - x245 =L= 0;

e43..    x215 - x235 - x246 =L= 0;

e44..  - x215 + x235 - x246 =L= 0;

e45..    x217 - x221 - x247 =L= 0;

e46..  - x217 + x221 - x247 =L= 0;

e47..    x219 - x223 - x248 =L= 0;

e48..  - x219 + x223 - x248 =L= 0;

e49..    x217 - x225 - x249 =L= 0;

e50..  - x217 + x225 - x249 =L= 0;

e51..    x219 - x227 - x250 =L= 0;

e52..  - x219 + x227 - x250 =L= 0;

e53..    x217 - x229 - x251 =L= 0;

e54..  - x217 + x229 - x251 =L= 0;

e55..    x219 - x231 - x252 =L= 0;

e56..  - x219 + x231 - x252 =L= 0;

e57..    x217 - x233 - x253 =L= 0;

e58..  - x217 + x233 - x253 =L= 0;

e59..    x219 - x235 - x254 =L= 0;

e60..  - x219 + x235 - x254 =L= 0;

e61..    x221 - x225 - x255 =L= 0;

e62..  - x221 + x225 - x255 =L= 0;

e63..    x223 - x227 - x256 =L= 0;

e64..  - x223 + x227 - x256 =L= 0;

e65..    x221 - x229 - x257 =L= 0;

e66..  - x221 + x229 - x257 =L= 0;

e67..    x223 - x231 - x258 =L= 0;

e68..  - x223 + x231 - x258 =L= 0;

e69..    x221 - x233 - x259 =L= 0;

e70..  - x221 + x233 - x259 =L= 0;

e71..    x223 - x235 - x260 =L= 0;

e72..  - x223 + x235 - x260 =L= 0;

e73..    x225 - x229 - x261 =L= 0;

e74..  - x225 + x229 - x261 =L= 0;

e75..    x227 - x231 - x262 =L= 0;

e76..  - x227 + x231 - x262 =L= 0;

e77..    x225 - x233 - x263 =L= 0;

e78..  - x225 + x233 - x263 =L= 0;

e79..    x227 - x235 - x264 =L= 0;

e80..  - x227 + x235 - x264 =L= 0;

e81..    x229 - x233 - x265 =L= 0;

e82..  - x229 + x233 - x265 =L= 0;

e83..    x231 - x235 - x266 =L= 0;

e84..  - x231 + x235 - x266 =L= 0;

e85.. sqr(3.23329980692027 - x211) + sqr(4.28386868469468 - x214)
       + 70.3380399508289*b1 =L= 71.3380399508289;

e86.. sqr(4.76698640779873 - x211) + sqr(2.08930775599057 - x214)
       + 88.6345879922179*b2 =L= 89.6345879922179;

e87.. sqr(0.0267350511843534 - x211) + sqr(0.782551987461116 - x214)
       + 173.07608146417*b3 =L= 174.07608146417;

e88.. sqr(8.87351634308632 - x211) + sqr(3.10477334960963 - x214)
       + 119.189765523566*b4 =L= 120.189765523566;

e89.. sqr(1.91447038389767 - x211) + sqr(7.96663059311099 - x214)
       + 130.724980923409*b5 =L= 131.724980923409;

e90.. sqr(8.55222670865358 - x211) + sqr(0.438866978243134 - x214)
       + 152.289257045603*b6 =L= 153.289257045603;

e91.. sqr(1.98863408000317 - x211) + sqr(8.96632330014267 - x214)
       + 146.275833327099*b7 =L= 147.275833327099;

e92.. sqr(6.95896277872403 - x211) + sqr(8.84303759003159 - x214)
       + 134.290060533636*b8 =L= 135.290060533636;

e93.. sqr(3.61145308049351 - x211) + sqr(6.96757527234085 - x214)
       + 90.4153493760657*b9 =L= 91.4153493760657;

e94.. sqr(2.68339142719956 - x211) + sqr(9.93756308393997 - x214)
       + 155.435876865509*b10 =L= 156.435876865509;

e95.. sqr(3.65720962255625 - x211) + sqr(1.74396350476612 - x214)
       + 104.574248000865*b11 =L= 105.574248000865;

e96.. sqr(2.58228242210245 - x211) + sqr(2.69819914741465 - x214)
       + 100.597041943368*b12 =L= 101.597041943368;

e97.. sqr(9.48301079077753 - x211) + sqr(4.52610831509011 - x214)
       + 123.776000509032*b13 =L= 124.776000509032;

e98.. sqr(0.434598155960523 - x211) + sqr(8.14106643299414 - x214)
       + 161.401265156826*b14 =L= 162.401265156826;

e99.. sqr(9.02424243556911 - x211) + sqr(0.334718733138226 - x214)
       + 162.651829944844*b15 =L= 163.651829944844;

e100.. sqr(7.73517137689675 - x211) + sqr(3.51323083446602 - x214)
        + 94.7869069625255*b16 =L= 95.7869069625255;

e101.. sqr(4.40833475926247 - x211) + sqr(4.2821399703396 - x214)
        + 58.6043091351014*b17 =L= 59.6043091351014;

e102.. sqr(3.67998758525487 - x211) + sqr(5.08335062067947 - x214)
        + 68.4616343579277*b18 =L= 69.4616343579277;

e103.. sqr(5.99800586943544 - x211) + sqr(0.0322978360521831 - x214)
        + 129.991228427538*b19 =L= 130.991228427538;

e104.. sqr(8.17580946692085 - x211) + sqr(4.02617412348302 - x214)
        + 96.803038566953*b20 =L= 97.803038566953;

e105.. sqr(0.174684355003035 - x211) + sqr(1.65622387552164 - x214)
        + 154.161526075002*b21 =L= 155.161526075002;

e106.. sqr(7.75085767529561 - x211) + sqr(3.63307602514509 - x214)
        + 93.7411075777765*b22 =L= 94.7411075777765;

e107.. sqr(9.9148364830655 - x211) + sqr(5.51483189629837 - x214)
        + 142.093349557565*b23 =L= 143.093349557565;

e108.. sqr(9.03591083549967 - x211) + sqr(1.83449511612235 - x214)
        + 138.847878702949*b24 =L= 139.847878702949;

e109.. sqr(8.20421763287616 - x211) + sqr(9.82784253465657 - x214)
        + 173.07608146417*b25 =L= 174.07608146417;

e110.. sqr(1.03248567695818 - x211) + sqr(7.16096452869944 - x214)
        + 135.619467005275*b26 =L= 136.619467005275;

e111.. sqr(9.86920389752062 - x211) + sqr(1.14806073691438 - x214)
        + 165.534538704689*b27 =L= 166.534538704689;

e112.. sqr(0.817141349526822 - x211) + sqr(4.89037331555712 - x214)
        + 115.535016969841*b28 =L= 116.535016969841;

e113.. sqr(0.460831329101329 - x211) + sqr(8.44240182853681 - x214)
        + 165.534538704689*b29 =L= 166.534538704689;

e114.. sqr(6.67410747219087 - x211) + sqr(4.4461134165398 - x214)
        + 72.7893929676281*b30 =L= 73.7893929676281;

e115..    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;

e116.. sqr(3.23329980692027 - x212) + sqr(4.28386868469468 - x215)
        + 70.3380399508289*b31 =L= 71.3380399508289;

e117.. sqr(4.76698640779873 - x212) + sqr(2.08930775599057 - x215)
        + 88.6345879922179*b32 =L= 89.6345879922179;

e118.. sqr(0.0267350511843534 - x212) + sqr(0.782551987461116 - x215)
        + 173.07608146417*b33 =L= 174.07608146417;

e119.. sqr(8.87351634308632 - x212) + sqr(3.10477334960963 - x215)
        + 119.189765523566*b34 =L= 120.189765523566;

e120.. sqr(1.91447038389767 - x212) + sqr(7.96663059311099 - x215)
        + 130.724980923409*b35 =L= 131.724980923409;

e121.. sqr(8.55222670865358 - x212) + sqr(0.438866978243134 - x215)
        + 152.289257045603*b36 =L= 153.289257045603;

e122.. sqr(1.98863408000317 - x212) + sqr(8.96632330014267 - x215)
        + 146.275833327099*b37 =L= 147.275833327099;

e123.. sqr(6.95896277872403 - x212) + sqr(8.84303759003159 - x215)
        + 134.290060533636*b38 =L= 135.290060533636;

e124.. sqr(3.61145308049351 - x212) + sqr(6.96757527234085 - x215)
        + 90.4153493760657*b39 =L= 91.4153493760657;

e125.. sqr(2.68339142719956 - x212) + sqr(9.93756308393997 - x215)
        + 155.435876865509*b40 =L= 156.435876865509;

e126.. sqr(3.65720962255625 - x212) + sqr(1.74396350476612 - x215)
        + 104.574248000865*b41 =L= 105.574248000865;

e127.. sqr(2.58228242210245 - x212) + sqr(2.69819914741465 - x215)
        + 100.597041943368*b42 =L= 101.597041943368;

e128.. sqr(9.48301079077753 - x212) + sqr(4.52610831509011 - x215)
        + 123.776000509032*b43 =L= 124.776000509032;

e129.. sqr(0.434598155960523 - x212) + sqr(8.14106643299414 - x215)
        + 161.401265156826*b44 =L= 162.401265156826;

e130.. sqr(9.02424243556911 - x212) + sqr(0.334718733138226 - x215)
        + 162.651829944844*b45 =L= 163.651829944844;

e131.. sqr(7.73517137689675 - x212) + sqr(3.51323083446602 - x215)
        + 94.7869069625255*b46 =L= 95.7869069625255;

e132.. sqr(4.40833475926247 - x212) + sqr(4.2821399703396 - x215)
        + 58.6043091351014*b47 =L= 59.6043091351014;

e133.. sqr(3.67998758525487 - x212) + sqr(5.08335062067947 - x215)
        + 68.4616343579277*b48 =L= 69.4616343579277;

e134.. sqr(5.99800586943544 - x212) + sqr(0.0322978360521831 - x215)
        + 129.991228427538*b49 =L= 130.991228427538;

e135.. sqr(8.17580946692085 - x212) + sqr(4.02617412348302 - x215)
        + 96.803038566953*b50 =L= 97.803038566953;

e136.. sqr(0.174684355003035 - x212) + sqr(1.65622387552164 - x215)
        + 154.161526075002*b51 =L= 155.161526075002;

e137.. sqr(7.75085767529561 - x212) + sqr(3.63307602514509 - x215)
        + 93.7411075777765*b52 =L= 94.7411075777765;

e138.. sqr(9.9148364830655 - x212) + sqr(5.51483189629837 - x215)
        + 142.093349557565*b53 =L= 143.093349557565;

e139.. sqr(9.03591083549967 - x212) + sqr(1.83449511612235 - x215)
        + 138.847878702949*b54 =L= 139.847878702949;

e140.. sqr(8.20421763287616 - x212) + sqr(9.82784253465657 - x215)
        + 173.07608146417*b55 =L= 174.07608146417;

e141.. sqr(1.03248567695818 - x212) + sqr(7.16096452869944 - x215)
        + 135.619467005275*b56 =L= 136.619467005275;

e142.. sqr(9.86920389752062 - x212) + sqr(1.14806073691438 - x215)
        + 165.534538704689*b57 =L= 166.534538704689;

e143.. sqr(0.817141349526822 - x212) + sqr(4.89037331555712 - x215)
        + 115.535016969841*b58 =L= 116.535016969841;

e144.. sqr(0.460831329101329 - x212) + sqr(8.44240182853681 - x215)
        + 165.534538704689*b59 =L= 166.534538704689;

e145.. sqr(6.67410747219087 - x212) + sqr(4.4461134165398 - x215)
        + 72.7893929676281*b60 =L= 73.7893929676281;

e146..    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;

e147.. sqr(3.23329980692027 - x217) + sqr(4.28386868469468 - x219)
        + 70.3380399508289*b61 =L= 71.3380399508289;

e148.. sqr(4.76698640779873 - x217) + sqr(2.08930775599057 - x219)
        + 88.6345879922179*b62 =L= 89.6345879922179;

e149.. sqr(0.0267350511843534 - x217) + sqr(0.782551987461116 - x219)
        + 173.07608146417*b63 =L= 174.07608146417;

e150.. sqr(8.87351634308632 - x217) + sqr(3.10477334960963 - x219)
        + 119.189765523566*b64 =L= 120.189765523566;

e151.. sqr(1.91447038389767 - x217) + sqr(7.96663059311099 - x219)
        + 130.724980923409*b65 =L= 131.724980923409;

e152.. sqr(8.55222670865358 - x217) + sqr(0.438866978243134 - x219)
        + 152.289257045603*b66 =L= 153.289257045603;

e153.. sqr(1.98863408000317 - x217) + sqr(8.96632330014267 - x219)
        + 146.275833327099*b67 =L= 147.275833327099;

e154.. sqr(6.95896277872403 - x217) + sqr(8.84303759003159 - x219)
        + 134.290060533636*b68 =L= 135.290060533636;

e155.. sqr(3.61145308049351 - x217) + sqr(6.96757527234085 - x219)
        + 90.4153493760657*b69 =L= 91.4153493760657;

e156.. sqr(2.68339142719956 - x217) + sqr(9.93756308393997 - x219)
        + 155.435876865509*b70 =L= 156.435876865509;

e157.. sqr(3.65720962255625 - x217) + sqr(1.74396350476612 - x219)
        + 104.574248000865*b71 =L= 105.574248000865;

e158.. sqr(2.58228242210245 - x217) + sqr(2.69819914741465 - x219)
        + 100.597041943368*b72 =L= 101.597041943368;

e159.. sqr(9.48301079077753 - x217) + sqr(4.52610831509011 - x219)
        + 123.776000509032*b73 =L= 124.776000509032;

e160.. sqr(0.434598155960523 - x217) + sqr(8.14106643299414 - x219)
        + 161.401265156826*b74 =L= 162.401265156826;

e161.. sqr(9.02424243556911 - x217) + sqr(0.334718733138226 - x219)
        + 162.651829944844*b75 =L= 163.651829944844;

e162.. sqr(7.73517137689675 - x217) + sqr(3.51323083446602 - x219)
        + 94.7869069625255*b76 =L= 95.7869069625255;

e163.. sqr(4.40833475926247 - x217) + sqr(4.2821399703396 - x219)
        + 58.6043091351014*b77 =L= 59.6043091351014;

e164.. sqr(3.67998758525487 - x217) + sqr(5.08335062067947 - x219)
        + 68.4616343579277*b78 =L= 69.4616343579277;

e165.. sqr(5.99800586943544 - x217) + sqr(0.0322978360521831 - x219)
        + 129.991228427538*b79 =L= 130.991228427538;

e166.. sqr(8.17580946692085 - x217) + sqr(4.02617412348302 - x219)
        + 96.803038566953*b80 =L= 97.803038566953;

e167.. sqr(0.174684355003035 - x217) + sqr(1.65622387552164 - x219)
        + 154.161526075002*b81 =L= 155.161526075002;

e168.. sqr(7.75085767529561 - x217) + sqr(3.63307602514509 - x219)
        + 93.7411075777765*b82 =L= 94.7411075777765;

e169.. sqr(9.9148364830655 - x217) + sqr(5.51483189629837 - x219)
        + 142.093349557565*b83 =L= 143.093349557565;

e170.. sqr(9.03591083549967 - x217) + sqr(1.83449511612235 - x219)
        + 138.847878702949*b84 =L= 139.847878702949;

e171.. sqr(8.20421763287616 - x217) + sqr(9.82784253465657 - x219)
        + 173.07608146417*b85 =L= 174.07608146417;

e172.. sqr(1.03248567695818 - x217) + sqr(7.16096452869944 - x219)
        + 135.619467005275*b86 =L= 136.619467005275;

e173.. sqr(9.86920389752062 - x217) + sqr(1.14806073691438 - x219)
        + 165.534538704689*b87 =L= 166.534538704689;

e174.. sqr(0.817141349526822 - x217) + sqr(4.89037331555712 - x219)
        + 115.535016969841*b88 =L= 116.535016969841;

e175.. sqr(0.460831329101329 - x217) + sqr(8.44240182853681 - x219)
        + 165.534538704689*b89 =L= 166.534538704689;

e176.. sqr(6.67410747219087 - x217) + sqr(4.4461134165398 - x219)
        + 72.7893929676281*b90 =L= 73.7893929676281;

e177..    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;

e178.. sqr(3.23329980692027 - x221) + sqr(4.28386868469468 - x223)
        + 70.3380399508289*b91 =L= 71.3380399508289;

e179.. sqr(4.76698640779873 - x221) + sqr(2.08930775599057 - x223)
        + 88.6345879922179*b92 =L= 89.6345879922179;

e180.. sqr(0.0267350511843534 - x221) + sqr(0.782551987461116 - x223)
        + 173.07608146417*b93 =L= 174.07608146417;

e181.. sqr(8.87351634308632 - x221) + sqr(3.10477334960963 - x223)
        + 119.189765523566*b94 =L= 120.189765523566;

e182.. sqr(1.91447038389767 - x221) + sqr(7.96663059311099 - x223)
        + 130.724980923409*b95 =L= 131.724980923409;

e183.. sqr(8.55222670865358 - x221) + sqr(0.438866978243134 - x223)
        + 152.289257045603*b96 =L= 153.289257045603;

e184.. sqr(1.98863408000317 - x221) + sqr(8.96632330014267 - x223)
        + 146.275833327099*b97 =L= 147.275833327099;

e185.. sqr(6.95896277872403 - x221) + sqr(8.84303759003159 - x223)
        + 134.290060533636*b98 =L= 135.290060533636;

e186.. sqr(3.61145308049351 - x221) + sqr(6.96757527234085 - x223)
        + 90.4153493760657*b99 =L= 91.4153493760657;

e187.. sqr(2.68339142719956 - x221) + sqr(9.93756308393997 - x223)
        + 155.435876865509*b100 =L= 156.435876865509;

e188.. sqr(3.65720962255625 - x221) + sqr(1.74396350476612 - x223)
        + 104.574248000865*b101 =L= 105.574248000865;

e189.. sqr(2.58228242210245 - x221) + sqr(2.69819914741465 - x223)
        + 100.597041943368*b102 =L= 101.597041943368;

e190.. sqr(9.48301079077753 - x221) + sqr(4.52610831509011 - x223)
        + 123.776000509032*b103 =L= 124.776000509032;

e191.. sqr(0.434598155960523 - x221) + sqr(8.14106643299414 - x223)
        + 161.401265156826*b104 =L= 162.401265156826;

e192.. sqr(9.02424243556911 - x221) + sqr(0.334718733138226 - x223)
        + 162.651829944844*b105 =L= 163.651829944844;

e193.. sqr(7.73517137689675 - x221) + sqr(3.51323083446602 - x223)
        + 94.7869069625255*b106 =L= 95.7869069625255;

e194.. sqr(4.40833475926247 - x221) + sqr(4.2821399703396 - x223)
        + 58.6043091351014*b107 =L= 59.6043091351014;

e195.. sqr(3.67998758525487 - x221) + sqr(5.08335062067947 - x223)
        + 68.4616343579277*b108 =L= 69.4616343579277;

e196.. sqr(5.99800586943544 - x221) + sqr(0.0322978360521831 - x223)
        + 129.991228427538*b109 =L= 130.991228427538;

e197.. sqr(8.17580946692085 - x221) + sqr(4.02617412348302 - x223)
        + 96.803038566953*b110 =L= 97.803038566953;

e198.. sqr(0.174684355003035 - x221) + sqr(1.65622387552164 - x223)
        + 154.161526075002*b111 =L= 155.161526075002;

e199.. sqr(7.75085767529561 - x221) + sqr(3.63307602514509 - x223)
        + 93.7411075777765*b112 =L= 94.7411075777765;

e200.. sqr(9.9148364830655 - x221) + sqr(5.51483189629837 - x223)
        + 142.093349557565*b113 =L= 143.093349557565;

e201.. sqr(9.03591083549967 - x221) + sqr(1.83449511612235 - x223)
        + 138.847878702949*b114 =L= 139.847878702949;

e202.. sqr(8.20421763287616 - x221) + sqr(9.82784253465657 - x223)
        + 173.07608146417*b115 =L= 174.07608146417;

e203.. sqr(1.03248567695818 - x221) + sqr(7.16096452869944 - x223)
        + 135.619467005275*b116 =L= 136.619467005275;

e204.. sqr(9.86920389752062 - x221) + sqr(1.14806073691438 - x223)
        + 165.534538704689*b117 =L= 166.534538704689;

e205.. sqr(0.817141349526822 - x221) + sqr(4.89037331555712 - x223)
        + 115.535016969841*b118 =L= 116.535016969841;

e206.. sqr(0.460831329101329 - x221) + sqr(8.44240182853681 - x223)
        + 165.534538704689*b119 =L= 166.534538704689;

e207.. sqr(6.67410747219087 - x221) + sqr(4.4461134165398 - x223)
        + 72.7893929676281*b120 =L= 73.7893929676281;

e208..    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;

e209.. sqr(3.23329980692027 - x225) + sqr(4.28386868469468 - x227)
        + 70.3380399508289*b121 =L= 71.3380399508289;

e210.. sqr(4.76698640779873 - x225) + sqr(2.08930775599057 - x227)
        + 88.6345879922179*b122 =L= 89.6345879922179;

e211.. sqr(0.0267350511843534 - x225) + sqr(0.782551987461116 - x227)
        + 173.07608146417*b123 =L= 174.07608146417;

e212.. sqr(8.87351634308632 - x225) + sqr(3.10477334960963 - x227)
        + 119.189765523566*b124 =L= 120.189765523566;

e213.. sqr(1.91447038389767 - x225) + sqr(7.96663059311099 - x227)
        + 130.724980923409*b125 =L= 131.724980923409;

e214.. sqr(8.55222670865358 - x225) + sqr(0.438866978243134 - x227)
        + 152.289257045603*b126 =L= 153.289257045603;

e215.. sqr(1.98863408000317 - x225) + sqr(8.96632330014267 - x227)
        + 146.275833327099*b127 =L= 147.275833327099;

e216.. sqr(6.95896277872403 - x225) + sqr(8.84303759003159 - x227)
        + 134.290060533636*b128 =L= 135.290060533636;

e217.. sqr(3.61145308049351 - x225) + sqr(6.96757527234085 - x227)
        + 90.4153493760657*b129 =L= 91.4153493760657;

e218.. sqr(2.68339142719956 - x225) + sqr(9.93756308393997 - x227)
        + 155.435876865509*b130 =L= 156.435876865509;

e219.. sqr(3.65720962255625 - x225) + sqr(1.74396350476612 - x227)
        + 104.574248000865*b131 =L= 105.574248000865;

e220.. sqr(2.58228242210245 - x225) + sqr(2.69819914741465 - x227)
        + 100.597041943368*b132 =L= 101.597041943368;

e221.. sqr(9.48301079077753 - x225) + sqr(4.52610831509011 - x227)
        + 123.776000509032*b133 =L= 124.776000509032;

e222.. sqr(0.434598155960523 - x225) + sqr(8.14106643299414 - x227)
        + 161.401265156826*b134 =L= 162.401265156826;

e223.. sqr(9.02424243556911 - x225) + sqr(0.334718733138226 - x227)
        + 162.651829944844*b135 =L= 163.651829944844;

e224.. sqr(7.73517137689675 - x225) + sqr(3.51323083446602 - x227)
        + 94.7869069625255*b136 =L= 95.7869069625255;

e225.. sqr(4.40833475926247 - x225) + sqr(4.2821399703396 - x227)
        + 58.6043091351014*b137 =L= 59.6043091351014;

e226.. sqr(3.67998758525487 - x225) + sqr(5.08335062067947 - x227)
        + 68.4616343579277*b138 =L= 69.4616343579277;

e227.. sqr(5.99800586943544 - x225) + sqr(0.0322978360521831 - x227)
        + 129.991228427538*b139 =L= 130.991228427538;

e228.. sqr(8.17580946692085 - x225) + sqr(4.02617412348302 - x227)
        + 96.803038566953*b140 =L= 97.803038566953;

e229.. sqr(0.174684355003035 - x225) + sqr(1.65622387552164 - x227)
        + 154.161526075002*b141 =L= 155.161526075002;

e230.. sqr(7.75085767529561 - x225) + sqr(3.63307602514509 - x227)
        + 93.7411075777765*b142 =L= 94.7411075777765;

e231.. sqr(9.9148364830655 - x225) + sqr(5.51483189629837 - x227)
        + 142.093349557565*b143 =L= 143.093349557565;

e232.. sqr(9.03591083549967 - x225) + sqr(1.83449511612235 - x227)
        + 138.847878702949*b144 =L= 139.847878702949;

e233.. sqr(8.20421763287616 - x225) + sqr(9.82784253465657 - x227)
        + 173.07608146417*b145 =L= 174.07608146417;

e234.. sqr(1.03248567695818 - x225) + sqr(7.16096452869944 - x227)
        + 135.619467005275*b146 =L= 136.619467005275;

e235.. sqr(9.86920389752062 - x225) + sqr(1.14806073691438 - x227)
        + 165.534538704689*b147 =L= 166.534538704689;

e236.. sqr(0.817141349526822 - x225) + sqr(4.89037331555712 - x227)
        + 115.535016969841*b148 =L= 116.535016969841;

e237.. sqr(0.460831329101329 - x225) + sqr(8.44240182853681 - x227)
        + 165.534538704689*b149 =L= 166.534538704689;

e238.. sqr(6.67410747219087 - x225) + sqr(4.4461134165398 - x227)
        + 72.7893929676281*b150 =L= 73.7893929676281;

e239..    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;

e240.. sqr(3.23329980692027 - x229) + sqr(4.28386868469468 - x231)
        + 70.3380399508289*b151 =L= 71.3380399508289;

e241.. sqr(4.76698640779873 - x229) + sqr(2.08930775599057 - x231)
        + 88.6345879922179*b152 =L= 89.6345879922179;

e242.. sqr(0.0267350511843534 - x229) + sqr(0.782551987461116 - x231)
        + 173.07608146417*b153 =L= 174.07608146417;

e243.. sqr(8.87351634308632 - x229) + sqr(3.10477334960963 - x231)
        + 119.189765523566*b154 =L= 120.189765523566;

e244.. sqr(1.91447038389767 - x229) + sqr(7.96663059311099 - x231)
        + 130.724980923409*b155 =L= 131.724980923409;

e245.. sqr(8.55222670865358 - x229) + sqr(0.438866978243134 - x231)
        + 152.289257045603*b156 =L= 153.289257045603;

e246.. sqr(1.98863408000317 - x229) + sqr(8.96632330014267 - x231)
        + 146.275833327099*b157 =L= 147.275833327099;

e247.. sqr(6.95896277872403 - x229) + sqr(8.84303759003159 - x231)
        + 134.290060533636*b158 =L= 135.290060533636;

e248.. sqr(3.61145308049351 - x229) + sqr(6.96757527234085 - x231)
        + 90.4153493760657*b159 =L= 91.4153493760657;

e249.. sqr(2.68339142719956 - x229) + sqr(9.93756308393997 - x231)
        + 155.435876865509*b160 =L= 156.435876865509;

e250.. sqr(3.65720962255625 - x229) + sqr(1.74396350476612 - x231)
        + 104.574248000865*b161 =L= 105.574248000865;

e251.. sqr(2.58228242210245 - x229) + sqr(2.69819914741465 - x231)
        + 100.597041943368*b162 =L= 101.597041943368;

e252.. sqr(9.48301079077753 - x229) + sqr(4.52610831509011 - x231)
        + 123.776000509032*b163 =L= 124.776000509032;

e253.. sqr(0.434598155960523 - x229) + sqr(8.14106643299414 - x231)
        + 161.401265156826*b164 =L= 162.401265156826;

e254.. sqr(9.02424243556911 - x229) + sqr(0.334718733138226 - x231)
        + 162.651829944844*b165 =L= 163.651829944844;

e255.. sqr(7.73517137689675 - x229) + sqr(3.51323083446602 - x231)
        + 94.7869069625255*b166 =L= 95.7869069625255;

e256.. sqr(4.40833475926247 - x229) + sqr(4.2821399703396 - x231)
        + 58.6043091351014*b167 =L= 59.6043091351014;

e257.. sqr(3.67998758525487 - x229) + sqr(5.08335062067947 - x231)
        + 68.4616343579277*b168 =L= 69.4616343579277;

e258.. sqr(5.99800586943544 - x229) + sqr(0.0322978360521831 - x231)
        + 129.991228427538*b169 =L= 130.991228427538;

e259.. sqr(8.17580946692085 - x229) + sqr(4.02617412348302 - x231)
        + 96.803038566953*b170 =L= 97.803038566953;

e260.. sqr(0.174684355003035 - x229) + sqr(1.65622387552164 - x231)
        + 154.161526075002*b171 =L= 155.161526075002;

e261.. sqr(7.75085767529561 - x229) + sqr(3.63307602514509 - x231)
        + 93.7411075777765*b172 =L= 94.7411075777765;

e262.. sqr(9.9148364830655 - x229) + sqr(5.51483189629837 - x231)
        + 142.093349557565*b173 =L= 143.093349557565;

e263.. sqr(9.03591083549967 - x229) + sqr(1.83449511612235 - x231)
        + 138.847878702949*b174 =L= 139.847878702949;

e264.. sqr(8.20421763287616 - x229) + sqr(9.82784253465657 - x231)
        + 173.07608146417*b175 =L= 174.07608146417;

e265.. sqr(1.03248567695818 - x229) + sqr(7.16096452869944 - x231)
        + 135.619467005275*b176 =L= 136.619467005275;

e266.. sqr(9.86920389752062 - x229) + sqr(1.14806073691438 - x231)
        + 165.534538704689*b177 =L= 166.534538704689;

e267.. sqr(0.817141349526822 - x229) + sqr(4.89037331555712 - x231)
        + 115.535016969841*b178 =L= 116.535016969841;

e268.. sqr(0.460831329101329 - x229) + sqr(8.44240182853681 - x231)
        + 165.534538704689*b179 =L= 166.534538704689;

e269.. sqr(6.67410747219087 - x229) + sqr(4.4461134165398 - x231)
        + 72.7893929676281*b180 =L= 73.7893929676281;

e270..    b151 + b152 + b153 + b154 + b155 + b156 + b157 + b158 + b159 + b160
        + b161 + b162 + b163 + b164 + b165 + b166 + b167 + b168 + b169 + b170
        + b171 + b172 + b173 + b174 + b175 + b176 + b177 + b178 + b179 + b180
        =E= 1;

e271.. sqr(3.23329980692027 - x233) + sqr(4.28386868469468 - x235)
        + 70.3380399508289*b181 =L= 71.3380399508289;

e272.. sqr(4.76698640779873 - x233) + sqr(2.08930775599057 - x235)
        + 88.6345879922179*b182 =L= 89.6345879922179;

e273.. sqr(0.0267350511843534 - x233) + sqr(0.782551987461116 - x235)
        + 173.07608146417*b183 =L= 174.07608146417;

e274.. sqr(8.87351634308632 - x233) + sqr(3.10477334960963 - x235)
        + 119.189765523566*b184 =L= 120.189765523566;

e275.. sqr(1.91447038389767 - x233) + sqr(7.96663059311099 - x235)
        + 130.724980923409*b185 =L= 131.724980923409;

e276.. sqr(8.55222670865358 - x233) + sqr(0.438866978243134 - x235)
        + 152.289257045603*b186 =L= 153.289257045603;

e277.. sqr(1.98863408000317 - x233) + sqr(8.96632330014267 - x235)
        + 146.275833327099*b187 =L= 147.275833327099;

e278.. sqr(6.95896277872403 - x233) + sqr(8.84303759003159 - x235)
        + 134.290060533636*b188 =L= 135.290060533636;

e279.. sqr(3.61145308049351 - x233) + sqr(6.96757527234085 - x235)
        + 90.4153493760657*b189 =L= 91.4153493760657;

e280.. sqr(2.68339142719956 - x233) + sqr(9.93756308393997 - x235)
        + 155.435876865509*b190 =L= 156.435876865509;

e281.. sqr(3.65720962255625 - x233) + sqr(1.74396350476612 - x235)
        + 104.574248000865*b191 =L= 105.574248000865;

e282.. sqr(2.58228242210245 - x233) + sqr(2.69819914741465 - x235)
        + 100.597041943368*b192 =L= 101.597041943368;

e283.. sqr(9.48301079077753 - x233) + sqr(4.52610831509011 - x235)
        + 123.776000509032*b193 =L= 124.776000509032;

e284.. sqr(0.434598155960523 - x233) + sqr(8.14106643299414 - x235)
        + 161.401265156826*b194 =L= 162.401265156826;

e285.. sqr(9.02424243556911 - x233) + sqr(0.334718733138226 - x235)
        + 162.651829944844*b195 =L= 163.651829944844;

e286.. sqr(7.73517137689675 - x233) + sqr(3.51323083446602 - x235)
        + 94.7869069625255*b196 =L= 95.7869069625255;

e287.. sqr(4.40833475926247 - x233) + sqr(4.2821399703396 - x235)
        + 58.6043091351014*b197 =L= 59.6043091351014;

e288.. sqr(3.67998758525487 - x233) + sqr(5.08335062067947 - x235)
        + 68.4616343579277*b198 =L= 69.4616343579277;

e289.. sqr(5.99800586943544 - x233) + sqr(0.0322978360521831 - x235)
        + 129.991228427538*b199 =L= 130.991228427538;

e290.. sqr(8.17580946692085 - x233) + sqr(4.02617412348302 - x235)
        + 96.803038566953*b200 =L= 97.803038566953;

e291.. sqr(0.174684355003035 - x233) + sqr(1.65622387552164 - x235)
        + 154.161526075002*b201 =L= 155.161526075002;

e292.. sqr(7.75085767529561 - x233) + sqr(3.63307602514509 - x235)
        + 93.7411075777765*b202 =L= 94.7411075777765;

e293.. sqr(9.9148364830655 - x233) + sqr(5.51483189629837 - x235)
        + 142.093349557565*b203 =L= 143.093349557565;

e294.. sqr(9.03591083549967 - x233) + sqr(1.83449511612235 - x235)
        + 138.847878702949*b204 =L= 139.847878702949;

e295.. sqr(8.20421763287616 - x233) + sqr(9.82784253465657 - x235)
        + 173.07608146417*b205 =L= 174.07608146417;

e296.. sqr(1.03248567695818 - x233) + sqr(7.16096452869944 - x235)
        + 135.619467005275*b206 =L= 136.619467005275;

e297.. sqr(9.86920389752062 - x233) + sqr(1.14806073691438 - x235)
        + 165.534538704689*b207 =L= 166.534538704689;

e298.. sqr(0.817141349526822 - x233) + sqr(4.89037331555712 - x235)
        + 115.535016969841*b208 =L= 116.535016969841;

e299.. sqr(0.460831329101329 - x233) + sqr(8.44240182853681 - x235)
        + 165.534538704689*b209 =L= 166.534538704689;

e300.. sqr(6.67410747219087 - x233) + sqr(4.4461134165398 - x235)
        + 72.7893929676281*b210 =L= 73.7893929676281;

e301..    b181 + b182 + b183 + b184 + b185 + b186 + b187 + b188 + b189 + b190
        + b191 + b192 + b193 + b194 + b195 + b196 + b197 + b198 + b199 + b200
        + b201 + b202 + b203 + b204 + b205 + b206 + b207 + b208 + b209 + b210
        =E= 1;

e302..    b1 + b31 + b61 + b91 + b121 + b151 + b181 =L= 1;

e303..    b2 + b32 + b62 + b92 + b122 + b152 + b182 =L= 1;

e304..    b3 + b33 + b63 + b93 + b123 + b153 + b183 =L= 1;

e305..    b4 + b34 + b64 + b94 + b124 + b154 + b184 =L= 1;

e306..    b5 + b35 + b65 + b95 + b125 + b155 + b185 =L= 1;

e307..    b6 + b36 + b66 + b96 + b126 + b156 + b186 =L= 1;

e308..    b7 + b37 + b67 + b97 + b127 + b157 + b187 =L= 1;

e309..    b8 + b38 + b68 + b98 + b128 + b158 + b188 =L= 1;

e310..    b9 + b39 + b69 + b99 + b129 + b159 + b189 =L= 1;

e311..    b10 + b40 + b70 + b100 + b130 + b160 + b190 =L= 1;

e312..    b11 + b41 + b71 + b101 + b131 + b161 + b191 =L= 1;

e313..    b12 + b42 + b72 + b102 + b132 + b162 + b192 =L= 1;

e314..    b13 + b43 + b73 + b103 + b133 + b163 + b193 =L= 1;

e315..    b14 + b44 + b74 + b104 + b134 + b164 + b194 =L= 1;

e316..    b15 + b45 + b75 + b105 + b135 + b165 + b195 =L= 1;

e317..    b16 + b46 + b76 + b106 + b136 + b166 + b196 =L= 1;

e318..    b17 + b47 + b77 + b107 + b137 + b167 + b197 =L= 1;

e319..    b18 + b48 + b78 + b108 + b138 + b168 + b198 =L= 1;

e320..    b19 + b49 + b79 + b109 + b139 + b169 + b199 =L= 1;

e321..    b20 + b50 + b80 + b110 + b140 + b170 + b200 =L= 1;

e322..    b21 + b51 + b81 + b111 + b141 + b171 + b201 =L= 1;

e323..    b22 + b52 + b82 + b112 + b142 + b172 + b202 =L= 1;

e324..    b23 + b53 + b83 + b113 + b143 + b173 + b203 =L= 1;

e325..    b24 + b54 + b84 + b114 + b144 + b174 + b204 =L= 1;

e326..    b25 + b55 + b85 + b115 + b145 + b175 + b205 =L= 1;

e327..    b26 + b56 + b86 + b116 + b146 + b176 + b206 =L= 1;

e328..    b27 + b57 + b87 + b117 + b147 + b177 + b207 =L= 1;

e329..    b28 + b58 + b88 + b118 + b148 + b178 + b208 =L= 1;

e330..    b29 + b59 + b89 + b119 + b149 + b179 + b209 =L= 1;

e331..    b30 + b60 + b90 + b120 + b150 + b180 + b210 =L= 1;

e332..    x211 - x212 =L= 0;

e333..    x212 - x217 =L= 0;

e334..    x217 - x221 =L= 0;

e335..    x221 - x225 =L= 0;

e336..    x225 - x229 =L= 0;

e337..    x229 - x233 =L= 0;

e338..  - x213 - x216 - x218 - x220 - x222 - x224 - x226 - x228 - x230 - x232
        - x234 - 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 + objvar =E= 0;

* set non-default bounds
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;

* set non-default levels
b30.l = 1;
b52.l = 1;
b84.l = 1;
b94.l = 1;
b140.l = 1;
b166.l = 1;
b193.l = 1;
x211.l = 7.55187424652185;
x212.l = 8.6263106159384;
x213.l = 1.07443636941655;
x214.l = 3.96699202270076;
x215.l = 3.96699202270076;
x217.l = 8.6263106159384;
x218.l = 1.07443636941655;
x219.l = 2.74682490676783;
x220.l = 1.22016711593293;
x221.l = 8.6263106159384;
x222.l = 1.07443636941655;
x223.l = 3.96699202270076;
x225.l = 8.6263106159384;
x226.l = 1.07443636941655;
x227.l = 3.96699202270076;
x229.l = 8.6263106159384;
x230.l = 1.07443636941655;
x231.l = 3.96699202270076;
x233.l = 8.65390008276914;
x234.l = 1.10202583624729;
x235.l = 3.96699202270076;
x238.l = 1.22016711593293;
x245.l = 0.0275894668307384;
x248.l = 1.22016711593293;
x250.l = 1.22016711593293;
x252.l = 1.22016711593293;
x253.l = 0.0275894668307384;
x254.l = 1.22016711593293;
x259.l = 0.0275894668307384;
x263.l = 0.0275894668307384;
x265.l = 0.0275894668307384;

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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