MINLPLib

A Library of Mixed-Integer and Continuous Nonlinear Programming Instances

Home // Instances // Documentation // Download // Statistics


Instance p_ball_40b_5p_4d_m

Select 5-points in 4-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 40 balls with radius one.
This is a big-M formulation.
Formats ams gms lp mod nl osil pip py
Primal Bounds (infeas ≤ 1e-08)
30.13272108 p1 ( gdx sol )
(infeas: 3e-16)
Other points (infeas > 1e-08)  
Dual Bounds
0.00000000 (ALPHAECP)
30.13256534 (ANTIGONE)
30.13269105 (BARON)
18.35179097 (BONMIN)
0.00000000 (COUENNE)
30.13272108 (CPLEX)
30.13262378 (GUROBI)
30.13272108 (LINDO)
30.13271666 (SCIP)
30.13272108 (SHOT)
References Kronqvist, Jan and Misener, Ruth, A disjunctive cut strengthening technique for convex MINLP, Tech. Rep., 2020.
Source p_ball_40b_5p_4d.gms, contributed by Jan Kronqvist and Ruth Misener
Application Geometry
Added to library 26 Aug 2020
Problem type MBQCP
#Variables 260
#Binary Variables 200
#Integer Variables 0
#Nonlinear Variables 20
#Nonlinear Binary Variables 0
#Nonlinear Integer Variables 0
Objective Sense min
Objective type linear
Objective curvature linear
#Nonzeros in Objective 40
#Nonlinear Nonzeros in Objective 0
#Constraints 329
#Linear Constraints 129
#Quadratic Constraints 200
#Polynomial Constraints 0
#Signomial Constraints 0
#General Nonlinear Constraints 0
Operands in Gen. Nonlin. Functions  
Constraints curvature convex
#Nonzeros in Jacobian 1648
#Nonlinear Nonzeros in Jacobian 800
#Nonzeros in (Upper-Left) Hessian of Lagrangian 20
#Nonzeros in Diagonal of Hessian of Lagrangian 20
#Blocks in Hessian of Lagrangian 20
Minimal blocksize in Hessian of Lagrangian 1
Maximal blocksize in Hessian of Lagrangian 1
Average blocksize in Hessian of Lagrangian 1.0
#Semicontinuities 0
#Nonlinear Semicontinuities 0
#SOS type 1 0
#SOS type 2 0
Minimal coefficient 1.2572e-03
Maximal coefficient 2.4792e+02
Infeasibility of initial point 65.67
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
*        330        6        0      324        0        0        0        0
*  
*  Variable counts
*                   x        b        i      s1s      s2s       sc       si
*      Total     cont   binary  integer     sos1     sos2    scont     sint
*        261       61      200        0        0        0        0        0
*  FX      0
*  
*  Nonzero counts
*      Total    const       NL      DLL
*       1689      889      800        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,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,objvar;

Positive Variables  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;

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;

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;


e1..    x201 - x202 - x203 =L= 0;

e2..  - x201 + x202 - x203 =L= 0;

e3..    x204 - x205 - x206 =L= 0;

e4..  - x204 + x205 - x206 =L= 0;

e5..    x207 - x208 - x209 =L= 0;

e6..  - x207 + x208 - x209 =L= 0;

e7..    x210 - x211 - x212 =L= 0;

e8..  - x210 + x211 - x212 =L= 0;

e9..    x201 - x213 - x214 =L= 0;

e10..  - x201 + x213 - x214 =L= 0;

e11..    x204 - x215 - x216 =L= 0;

e12..  - x204 + x215 - x216 =L= 0;

e13..    x207 - x217 - x218 =L= 0;

e14..  - x207 + x217 - x218 =L= 0;

e15..    x210 - x219 - x220 =L= 0;

e16..  - x210 + x219 - x220 =L= 0;

e17..    x201 - x221 - x222 =L= 0;

e18..  - x201 + x221 - x222 =L= 0;

e19..    x204 - x223 - x224 =L= 0;

e20..  - x204 + x223 - x224 =L= 0;

e21..    x207 - x225 - x226 =L= 0;

e22..  - x207 + x225 - x226 =L= 0;

e23..    x210 - x227 - x228 =L= 0;

e24..  - x210 + x227 - x228 =L= 0;

e25..    x201 - x229 - x230 =L= 0;

e26..  - x201 + x229 - x230 =L= 0;

e27..    x204 - x231 - x232 =L= 0;

e28..  - x204 + x231 - x232 =L= 0;

e29..    x207 - x233 - x234 =L= 0;

e30..  - x207 + x233 - x234 =L= 0;

e31..    x210 - x235 - x236 =L= 0;

e32..  - x210 + x235 - x236 =L= 0;

e33..    x202 - x213 - x237 =L= 0;

e34..  - x202 + x213 - x237 =L= 0;

e35..    x205 - x215 - x238 =L= 0;

e36..  - x205 + x215 - x238 =L= 0;

e37..    x208 - x217 - x239 =L= 0;

e38..  - x208 + x217 - x239 =L= 0;

e39..    x211 - x219 - x240 =L= 0;

e40..  - x211 + x219 - x240 =L= 0;

e41..    x202 - x221 - x241 =L= 0;

e42..  - x202 + x221 - x241 =L= 0;

e43..    x205 - x223 - x242 =L= 0;

e44..  - x205 + x223 - x242 =L= 0;

e45..    x208 - x225 - x243 =L= 0;

e46..  - x208 + x225 - x243 =L= 0;

e47..    x211 - x227 - x244 =L= 0;

e48..  - x211 + x227 - x244 =L= 0;

e49..    x202 - x229 - x245 =L= 0;

e50..  - x202 + x229 - x245 =L= 0;

e51..    x205 - x231 - x246 =L= 0;

e52..  - x205 + x231 - x246 =L= 0;

e53..    x208 - x233 - x247 =L= 0;

e54..  - x208 + x233 - x247 =L= 0;

e55..    x211 - x235 - x248 =L= 0;

e56..  - x211 + x235 - x248 =L= 0;

e57..    x213 - x221 - x249 =L= 0;

e58..  - x213 + x221 - x249 =L= 0;

e59..    x215 - x223 - x250 =L= 0;

e60..  - x215 + x223 - x250 =L= 0;

e61..    x217 - x225 - x251 =L= 0;

e62..  - x217 + x225 - x251 =L= 0;

e63..    x219 - x227 - x252 =L= 0;

e64..  - x219 + x227 - x252 =L= 0;

e65..    x213 - x229 - x253 =L= 0;

e66..  - x213 + x229 - x253 =L= 0;

e67..    x215 - x231 - x254 =L= 0;

e68..  - x215 + x231 - x254 =L= 0;

e69..    x217 - x233 - x255 =L= 0;

e70..  - x217 + x233 - x255 =L= 0;

e71..    x219 - x235 - x256 =L= 0;

e72..  - x219 + x235 - x256 =L= 0;

e73..    x221 - x229 - x257 =L= 0;

e74..  - x221 + x229 - x257 =L= 0;

e75..    x223 - x231 - x258 =L= 0;

e76..  - x223 + x231 - x258 =L= 0;

e77..    x225 - x233 - x259 =L= 0;

e78..  - x225 + x233 - x259 =L= 0;

e79..    x227 - x235 - x260 =L= 0;

e80..  - x227 + x235 - x260 =L= 0;

e81.. sqr(4.04180710023322 - x201) + sqr(0.0638120906615358 - x204) + sqr(
      9.31163964055327 - x207) + sqr(9.59399362610548 - x210)
       + 247.918202243131*b1 =L= 248.918202243131;

e82.. sqr(7.58630473662528 - x201) + sqr(9.81696808234314 - x204) + sqr(
      6.80594062551012 - x207) + sqr(5.73941560922778 - x210)
       + 172.97632549661*b2 =L= 173.97632549661;

e83.. sqr(4.73576208695481 - x201) + sqr(2.81737915136856 - x204) + sqr(
      0.919919756378161 - x207) + sqr(0.427396562561213 - x210)
       + 192.870854266185*b3 =L= 193.870854266185;

e84.. sqr(0.428853030190813 - x201) + sqr(5.71294529671424 - x204) + sqr(
      2.06079707847737 - x207) + sqr(3.87755584734058 - x210)
       + 168.997467410559*b4 =L= 169.997467410559;

e85.. sqr(1.0774677742481 - x201) + sqr(0.802343324640142 - x204) + sqr(
      5.05560926630768 - x207) + sqr(6.38583388950109 - x210)
       + 160.592363348786*b5 =L= 161.592363348786;

e86.. sqr(1.12638621393495 - x201) + sqr(1.60465763780203 - x204) + sqr(
      4.07986801140447 - x207) + sqr(2.17037731980447 - x210)
       + 165.579518594568*b6 =L= 166.579518594568;

e87.. sqr(1.82688019388165 - x201) + sqr(4.63411239877442 - x204) + sqr(
      5.05145431164509 - x207) + sqr(3.74855986966667 - x210)
       + 104.866109371321*b7 =L= 105.866109371321;

e88.. sqr(8.44017389324234 - x201) + sqr(3.82403068466693 - x204) + sqr(
      8.92353737043929 - x207) + sqr(4.64273943517454 - x210)
       + 167.587335871824*b8 =L= 168.587335871824;

e89.. sqr(5.87176386853829 - x201) + sqr(1.44175632208916 - x204) + sqr(
      3.18165222878213 - x207) + sqr(5.19789554578514 - x210)
       + 128.282182640462*b9 =L= 129.282182640462;

e90.. sqr(6.76013297629122 - x201) + sqr(3.21254997009641 - x204) + sqr(
      9.46706727409796 - x207) + sqr(0.816604516799142 - x210)
       + 226.736334872871*b10 =L= 227.736334872871;

e91.. sqr(3.24901644799959 - x201) + sqr(7.51480516788174 - x204) + sqr(
      4.01508707364147 - x207) + sqr(4.50822439140953 - x210)
       + 131.046642602757*b11 =L= 132.046642602757;

e92.. sqr(0.388900076234485 - x201) + sqr(5.87163371055414 - x204) + sqr(
      3.83580726436302 - x207) + sqr(3.02326353201313 - x210)
       + 152.01486044439*b12 =L= 153.01486044439;

e93.. sqr(0.790446136347066 - x201) + sqr(8.25540861746511 - x204) + sqr(
      8.76325441282356 - x207) + sqr(3.16275732090416 - x210)
       + 202.990878768535*b13 =L= 203.990878768535;

e94.. sqr(2.24835841067941 - x201) + sqr(1.49328376014994 - x204) + sqr(
      6.05269717076173 - x207) + sqr(9.30035396512944 - x210)
       + 187.279582970004*b14 =L= 188.279582970004;

e95.. sqr(9.00506853532299 - x201) + sqr(4.84258207392989 - x204) + sqr(
      5.30242448190069 - x207) + sqr(1.96947429895047 - x210)
       + 158.002379384289*b15 =L= 159.002379384289;

e96.. sqr(7.06852474736736 - x201) + sqr(0.403068662414334 - x204) + sqr(
      0.20219913526021 - x207) + sqr(1.72727050657669 - x210)
       + 229.407479988904*b16 =L= 230.407479988904;

e97.. sqr(2.04415436610942 - x201) + sqr(9.79340385699591 - x204) + sqr(
      1.37229670501157 - x207) + sqr(6.1403045098624 - x210)
       + 215.942963749551*b17 =L= 216.942963749551;

e98.. sqr(7.57624032466962 - x201) + sqr(7.76217255967217 - x204) + sqr(
      0.355128375706556 - x207) + sqr(1.44611951386816 - x210)
       + 247.918202243131*b18 =L= 248.918202243131;

e99.. sqr(5.27432353822418 - x201) + sqr(8.94703040209787 - x204) + sqr(
      6.2373757380993 - x207) + sqr(9.23461806871597 - x210)
       + 195.00222302105*b19 =L= 196.00222302105;

e100.. sqr(0.996186045951476 - x201) + sqr(1.36457455477018 - x204) + sqr(
       1.56471044095596 - x207) + sqr(3.36816773533039 - x210)
        + 172.294180536922*b20 =L= 173.294180536922;

e101.. sqr(4.02233509809877 - x201) + sqr(8.45745652401958 - x204) + sqr(
       9.01254148426443 - x207) + sqr(8.74685412361603 - x210)
        + 229.407479988904*b21 =L= 230.407479988904;

e102.. sqr(8.70857268900905 - x201) + sqr(1.11796994384596 - x204) + sqr(
       5.00432053303839 - x207) + sqr(2.40385817397397 - x210)
        + 180.771322437022*b22 =L= 181.771322437022;

e103.. sqr(7.54765700959199 - x201) + sqr(4.80143075267339 - x204) + sqr(
       8.40046817462899 - x207) + sqr(8.29113964786696 - x210)
        + 152.663354968323*b23 =L= 153.663354968323;

e104.. sqr(0.966865551002543 - x201) + sqr(9.92855620143344 - x204) + sqr(
       5.74951319729978 - x207) + sqr(3.53637928232447 - x210)
        + 188.008216290247*b24 =L= 189.008216290247;

e105.. sqr(0.45538917132773 - x201) + sqr(1.48603663213761 - x204) + sqr(
       9.82188246465487 - x207) + sqr(7.4461736036308 - x210)
        + 245.091065242949*b25 =L= 246.091065242949;

e106.. sqr(6.75415604579508 - x201) + sqr(4.56383909220998 - x204) + sqr(
       5.80815448731129 - x207) + sqr(1.39230685391611 - x210)
        + 140.463739979998*b26 =L= 141.463739979998;

e107.. sqr(8.85890029315383 - x201) + sqr(6.16141864425327 - x204) + sqr(
       2.25373679776979 - x207) + sqr(2.60508233041854 - x210)
        + 199.511614429278*b27 =L= 200.511614429278;

e108.. sqr(5.3549498366276 - x201) + sqr(6.5028620799581 - x204) + sqr(
       3.77860881416883 - x207) + sqr(3.88773754222155 - x210)
        + 126.987839343492*b28 =L= 127.987839343492;

e109.. sqr(0.113259012567859 - x201) + sqr(4.95866301539607 - x204) + sqr(
       8.39278608004883 - x207) + sqr(2.33998997152253 - x210)
        + 181.595796730204*b29 =L= 182.595796730204;

e110.. sqr(4.01186017931937 - x201) + sqr(1.58505280271348 - x204) + sqr(
       6.66701704740187 - x207) + sqr(6.15579863983494 - x210)
        + 140.650077775347*b30 =L= 141.650077775347;

e111.. sqr(6.96869478428464 - x201) + sqr(4.10398909952988 - x204) + sqr(
       6.0102827867986 - x207) + sqr(2.74411959285283 - x210)
        + 129.582385211462*b31 =L= 130.582385211462;

e112.. sqr(4.87285195085022 - x201) + sqr(9.86295765077007 - x204) + sqr(
       0.143489359365916 - x207) + sqr(8.80632332989694 - x210)
        + 226.736334872871*b32 =L= 227.736334872871;

e113.. sqr(7.83131209913544 - x201) + sqr(1.43609337392774 - x204) + sqr(
       3.30054263355244 - x207) + sqr(0.00125718557078214 - x210)
        + 199.220071314074*b33 =L= 200.220071314074;

e114.. sqr(5.66454764000128 - x201) + sqr(5.56331545204103 - x204) + sqr(
       1.14993711831163 - x207) + sqr(4.5715891663462 - x210)
        + 149.784254351217*b34 =L= 150.784254351217;

e115.. sqr(3.33190103022031 - x201) + sqr(4.9445883792678 - x204) + sqr(
       7.30728727625694 - x207) + sqr(8.01246235442081 - x210)
        + 146.896187485824*b35 =L= 147.896187485824;

e116.. sqr(9.33298244503801 - x201) + sqr(0.723851580512842 - x204) + sqr(
       8.42864317892565 - x207) + sqr(4.32119007374061 - x210)
        + 219.90174536577*b36 =L= 220.90174536577;

e117.. sqr(5.08063287228698 - x201) + sqr(8.38761519865226 - x204) + sqr(
       1.4027356086197 - x207) + sqr(6.86412480592018 - x210)
        + 164.06318777512*b37 =L= 165.06318777512;

e118.. sqr(2.37234068047016 - x201) + sqr(7.05084260559812 - x204) + sqr(
       9.48571415448197 - x207) + sqr(5.77659906719162 - x210)
        + 194.814503184848*b38 =L= 195.814503184848;

e119.. sqr(4.16198173364841 - x201) + sqr(5.45114144772148 - x204) + sqr(
       9.00182905163397 - x207) + sqr(3.4826499770368 - x210)
        + 149.300564915884*b39 =L= 150.300564915884;

e120.. sqr(4.45933786757702 - x201) + sqr(4.47805189258463 - x204) + sqr(
       6.61692822015399 - x207) + sqr(5.6343120215581 - x210)
        + 99.1502941148379*b40 =L= 100.150294114838;

e121..    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 =E= 1;

e122.. sqr(4.04180710023322 - x202) + sqr(0.0638120906615358 - x205) + sqr(
       9.31163964055327 - x208) + sqr(9.59399362610548 - x211)
        + 247.918202243131*b41 =L= 248.918202243131;

e123.. sqr(7.58630473662528 - x202) + sqr(9.81696808234314 - x205) + sqr(
       6.80594062551012 - x208) + sqr(5.73941560922778 - x211)
        + 172.97632549661*b42 =L= 173.97632549661;

e124.. sqr(4.73576208695481 - x202) + sqr(2.81737915136856 - x205) + sqr(
       0.919919756378161 - x208) + sqr(0.427396562561213 - x211)
        + 192.870854266185*b43 =L= 193.870854266185;

e125.. sqr(0.428853030190813 - x202) + sqr(5.71294529671424 - x205) + sqr(
       2.06079707847737 - x208) + sqr(3.87755584734058 - x211)
        + 168.997467410559*b44 =L= 169.997467410559;

e126.. sqr(1.0774677742481 - x202) + sqr(0.802343324640142 - x205) + sqr(
       5.05560926630768 - x208) + sqr(6.38583388950109 - x211)
        + 160.592363348786*b45 =L= 161.592363348786;

e127.. sqr(1.12638621393495 - x202) + sqr(1.60465763780203 - x205) + sqr(
       4.07986801140447 - x208) + sqr(2.17037731980447 - x211)
        + 165.579518594568*b46 =L= 166.579518594568;

e128.. sqr(1.82688019388165 - x202) + sqr(4.63411239877442 - x205) + sqr(
       5.05145431164509 - x208) + sqr(3.74855986966667 - x211)
        + 104.866109371321*b47 =L= 105.866109371321;

e129.. sqr(8.44017389324234 - x202) + sqr(3.82403068466693 - x205) + sqr(
       8.92353737043929 - x208) + sqr(4.64273943517454 - x211)
        + 167.587335871824*b48 =L= 168.587335871824;

e130.. sqr(5.87176386853829 - x202) + sqr(1.44175632208916 - x205) + sqr(
       3.18165222878213 - x208) + sqr(5.19789554578514 - x211)
        + 128.282182640462*b49 =L= 129.282182640462;

e131.. sqr(6.76013297629122 - x202) + sqr(3.21254997009641 - x205) + sqr(
       9.46706727409796 - x208) + sqr(0.816604516799142 - x211)
        + 226.736334872871*b50 =L= 227.736334872871;

e132.. sqr(3.24901644799959 - x202) + sqr(7.51480516788174 - x205) + sqr(
       4.01508707364147 - x208) + sqr(4.50822439140953 - x211)
        + 131.046642602757*b51 =L= 132.046642602757;

e133.. sqr(0.388900076234485 - x202) + sqr(5.87163371055414 - x205) + sqr(
       3.83580726436302 - x208) + sqr(3.02326353201313 - x211)
        + 152.01486044439*b52 =L= 153.01486044439;

e134.. sqr(0.790446136347066 - x202) + sqr(8.25540861746511 - x205) + sqr(
       8.76325441282356 - x208) + sqr(3.16275732090416 - x211)
        + 202.990878768535*b53 =L= 203.990878768535;

e135.. sqr(2.24835841067941 - x202) + sqr(1.49328376014994 - x205) + sqr(
       6.05269717076173 - x208) + sqr(9.30035396512944 - x211)
        + 187.279582970004*b54 =L= 188.279582970004;

e136.. sqr(9.00506853532299 - x202) + sqr(4.84258207392989 - x205) + sqr(
       5.30242448190069 - x208) + sqr(1.96947429895047 - x211)
        + 158.002379384289*b55 =L= 159.002379384289;

e137.. sqr(7.06852474736736 - x202) + sqr(0.403068662414334 - x205) + sqr(
       0.20219913526021 - x208) + sqr(1.72727050657669 - x211)
        + 229.407479988904*b56 =L= 230.407479988904;

e138.. sqr(2.04415436610942 - x202) + sqr(9.79340385699591 - x205) + sqr(
       1.37229670501157 - x208) + sqr(6.1403045098624 - x211)
        + 215.942963749551*b57 =L= 216.942963749551;

e139.. sqr(7.57624032466962 - x202) + sqr(7.76217255967217 - x205) + sqr(
       0.355128375706556 - x208) + sqr(1.44611951386816 - x211)
        + 247.918202243131*b58 =L= 248.918202243131;

e140.. sqr(5.27432353822418 - x202) + sqr(8.94703040209787 - x205) + sqr(
       6.2373757380993 - x208) + sqr(9.23461806871597 - x211)
        + 195.00222302105*b59 =L= 196.00222302105;

e141.. sqr(0.996186045951476 - x202) + sqr(1.36457455477018 - x205) + sqr(
       1.56471044095596 - x208) + sqr(3.36816773533039 - x211)
        + 172.294180536922*b60 =L= 173.294180536922;

e142.. sqr(4.02233509809877 - x202) + sqr(8.45745652401958 - x205) + sqr(
       9.01254148426443 - x208) + sqr(8.74685412361603 - x211)
        + 229.407479988904*b61 =L= 230.407479988904;

e143.. sqr(8.70857268900905 - x202) + sqr(1.11796994384596 - x205) + sqr(
       5.00432053303839 - x208) + sqr(2.40385817397397 - x211)
        + 180.771322437022*b62 =L= 181.771322437022;

e144.. sqr(7.54765700959199 - x202) + sqr(4.80143075267339 - x205) + sqr(
       8.40046817462899 - x208) + sqr(8.29113964786696 - x211)
        + 152.663354968323*b63 =L= 153.663354968323;

e145.. sqr(0.966865551002543 - x202) + sqr(9.92855620143344 - x205) + sqr(
       5.74951319729978 - x208) + sqr(3.53637928232447 - x211)
        + 188.008216290247*b64 =L= 189.008216290247;

e146.. sqr(0.45538917132773 - x202) + sqr(1.48603663213761 - x205) + sqr(
       9.82188246465487 - x208) + sqr(7.4461736036308 - x211)
        + 245.091065242949*b65 =L= 246.091065242949;

e147.. sqr(6.75415604579508 - x202) + sqr(4.56383909220998 - x205) + sqr(
       5.80815448731129 - x208) + sqr(1.39230685391611 - x211)
        + 140.463739979998*b66 =L= 141.463739979998;

e148.. sqr(8.85890029315383 - x202) + sqr(6.16141864425327 - x205) + sqr(
       2.25373679776979 - x208) + sqr(2.60508233041854 - x211)
        + 199.511614429278*b67 =L= 200.511614429278;

e149.. sqr(5.3549498366276 - x202) + sqr(6.5028620799581 - x205) + sqr(
       3.77860881416883 - x208) + sqr(3.88773754222155 - x211)
        + 126.987839343492*b68 =L= 127.987839343492;

e150.. sqr(0.113259012567859 - x202) + sqr(4.95866301539607 - x205) + sqr(
       8.39278608004883 - x208) + sqr(2.33998997152253 - x211)
        + 181.595796730204*b69 =L= 182.595796730204;

e151.. sqr(4.01186017931937 - x202) + sqr(1.58505280271348 - x205) + sqr(
       6.66701704740187 - x208) + sqr(6.15579863983494 - x211)
        + 140.650077775347*b70 =L= 141.650077775347;

e152.. sqr(6.96869478428464 - x202) + sqr(4.10398909952988 - x205) + sqr(
       6.0102827867986 - x208) + sqr(2.74411959285283 - x211)
        + 129.582385211462*b71 =L= 130.582385211462;

e153.. sqr(4.87285195085022 - x202) + sqr(9.86295765077007 - x205) + sqr(
       0.143489359365916 - x208) + sqr(8.80632332989694 - x211)
        + 226.736334872871*b72 =L= 227.736334872871;

e154.. sqr(7.83131209913544 - x202) + sqr(1.43609337392774 - x205) + sqr(
       3.30054263355244 - x208) + sqr(0.00125718557078214 - x211)
        + 199.220071314074*b73 =L= 200.220071314074;

e155.. sqr(5.66454764000128 - x202) + sqr(5.56331545204103 - x205) + sqr(
       1.14993711831163 - x208) + sqr(4.5715891663462 - x211)
        + 149.784254351217*b74 =L= 150.784254351217;

e156.. sqr(3.33190103022031 - x202) + sqr(4.9445883792678 - x205) + sqr(
       7.30728727625694 - x208) + sqr(8.01246235442081 - x211)
        + 146.896187485824*b75 =L= 147.896187485824;

e157.. sqr(9.33298244503801 - x202) + sqr(0.723851580512842 - x205) + sqr(
       8.42864317892565 - x208) + sqr(4.32119007374061 - x211)
        + 219.90174536577*b76 =L= 220.90174536577;

e158.. sqr(5.08063287228698 - x202) + sqr(8.38761519865226 - x205) + sqr(
       1.4027356086197 - x208) + sqr(6.86412480592018 - x211)
        + 164.06318777512*b77 =L= 165.06318777512;

e159.. sqr(2.37234068047016 - x202) + sqr(7.05084260559812 - x205) + sqr(
       9.48571415448197 - x208) + sqr(5.77659906719162 - x211)
        + 194.814503184848*b78 =L= 195.814503184848;

e160.. sqr(4.16198173364841 - x202) + sqr(5.45114144772148 - x205) + sqr(
       9.00182905163397 - x208) + sqr(3.4826499770368 - x211)
        + 149.300564915884*b79 =L= 150.300564915884;

e161.. sqr(4.45933786757702 - x202) + sqr(4.47805189258463 - x205) + sqr(
       6.61692822015399 - x208) + sqr(5.6343120215581 - x211)
        + 99.1502941148379*b80 =L= 100.150294114838;

e162..    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 =E= 1;

e163.. sqr(4.04180710023322 - x213) + sqr(0.0638120906615358 - x215) + sqr(
       9.31163964055327 - x217) + sqr(9.59399362610548 - x219)
        + 247.918202243131*b81 =L= 248.918202243131;

e164.. sqr(7.58630473662528 - x213) + sqr(9.81696808234314 - x215) + sqr(
       6.80594062551012 - x217) + sqr(5.73941560922778 - x219)
        + 172.97632549661*b82 =L= 173.97632549661;

e165.. sqr(4.73576208695481 - x213) + sqr(2.81737915136856 - x215) + sqr(
       0.919919756378161 - x217) + sqr(0.427396562561213 - x219)
        + 192.870854266185*b83 =L= 193.870854266185;

e166.. sqr(0.428853030190813 - x213) + sqr(5.71294529671424 - x215) + sqr(
       2.06079707847737 - x217) + sqr(3.87755584734058 - x219)
        + 168.997467410559*b84 =L= 169.997467410559;

e167.. sqr(1.0774677742481 - x213) + sqr(0.802343324640142 - x215) + sqr(
       5.05560926630768 - x217) + sqr(6.38583388950109 - x219)
        + 160.592363348786*b85 =L= 161.592363348786;

e168.. sqr(1.12638621393495 - x213) + sqr(1.60465763780203 - x215) + sqr(
       4.07986801140447 - x217) + sqr(2.17037731980447 - x219)
        + 165.579518594568*b86 =L= 166.579518594568;

e169.. sqr(1.82688019388165 - x213) + sqr(4.63411239877442 - x215) + sqr(
       5.05145431164509 - x217) + sqr(3.74855986966667 - x219)
        + 104.866109371321*b87 =L= 105.866109371321;

e170.. sqr(8.44017389324234 - x213) + sqr(3.82403068466693 - x215) + sqr(
       8.92353737043929 - x217) + sqr(4.64273943517454 - x219)
        + 167.587335871824*b88 =L= 168.587335871824;

e171.. sqr(5.87176386853829 - x213) + sqr(1.44175632208916 - x215) + sqr(
       3.18165222878213 - x217) + sqr(5.19789554578514 - x219)
        + 128.282182640462*b89 =L= 129.282182640462;

e172.. sqr(6.76013297629122 - x213) + sqr(3.21254997009641 - x215) + sqr(
       9.46706727409796 - x217) + sqr(0.816604516799142 - x219)
        + 226.736334872871*b90 =L= 227.736334872871;

e173.. sqr(3.24901644799959 - x213) + sqr(7.51480516788174 - x215) + sqr(
       4.01508707364147 - x217) + sqr(4.50822439140953 - x219)
        + 131.046642602757*b91 =L= 132.046642602757;

e174.. sqr(0.388900076234485 - x213) + sqr(5.87163371055414 - x215) + sqr(
       3.83580726436302 - x217) + sqr(3.02326353201313 - x219)
        + 152.01486044439*b92 =L= 153.01486044439;

e175.. sqr(0.790446136347066 - x213) + sqr(8.25540861746511 - x215) + sqr(
       8.76325441282356 - x217) + sqr(3.16275732090416 - x219)
        + 202.990878768535*b93 =L= 203.990878768535;

e176.. sqr(2.24835841067941 - x213) + sqr(1.49328376014994 - x215) + sqr(
       6.05269717076173 - x217) + sqr(9.30035396512944 - x219)
        + 187.279582970004*b94 =L= 188.279582970004;

e177.. sqr(9.00506853532299 - x213) + sqr(4.84258207392989 - x215) + sqr(
       5.30242448190069 - x217) + sqr(1.96947429895047 - x219)
        + 158.002379384289*b95 =L= 159.002379384289;

e178.. sqr(7.06852474736736 - x213) + sqr(0.403068662414334 - x215) + sqr(
       0.20219913526021 - x217) + sqr(1.72727050657669 - x219)
        + 229.407479988904*b96 =L= 230.407479988904;

e179.. sqr(2.04415436610942 - x213) + sqr(9.79340385699591 - x215) + sqr(
       1.37229670501157 - x217) + sqr(6.1403045098624 - x219)
        + 215.942963749551*b97 =L= 216.942963749551;

e180.. sqr(7.57624032466962 - x213) + sqr(7.76217255967217 - x215) + sqr(
       0.355128375706556 - x217) + sqr(1.44611951386816 - x219)
        + 247.918202243131*b98 =L= 248.918202243131;

e181.. sqr(5.27432353822418 - x213) + sqr(8.94703040209787 - x215) + sqr(
       6.2373757380993 - x217) + sqr(9.23461806871597 - x219)
        + 195.00222302105*b99 =L= 196.00222302105;

e182.. sqr(0.996186045951476 - x213) + sqr(1.36457455477018 - x215) + sqr(
       1.56471044095596 - x217) + sqr(3.36816773533039 - x219)
        + 172.294180536922*b100 =L= 173.294180536922;

e183.. sqr(4.02233509809877 - x213) + sqr(8.45745652401958 - x215) + sqr(
       9.01254148426443 - x217) + sqr(8.74685412361603 - x219)
        + 229.407479988904*b101 =L= 230.407479988904;

e184.. sqr(8.70857268900905 - x213) + sqr(1.11796994384596 - x215) + sqr(
       5.00432053303839 - x217) + sqr(2.40385817397397 - x219)
        + 180.771322437022*b102 =L= 181.771322437022;

e185.. sqr(7.54765700959199 - x213) + sqr(4.80143075267339 - x215) + sqr(
       8.40046817462899 - x217) + sqr(8.29113964786696 - x219)
        + 152.663354968323*b103 =L= 153.663354968323;

e186.. sqr(0.966865551002543 - x213) + sqr(9.92855620143344 - x215) + sqr(
       5.74951319729978 - x217) + sqr(3.53637928232447 - x219)
        + 188.008216290247*b104 =L= 189.008216290247;

e187.. sqr(0.45538917132773 - x213) + sqr(1.48603663213761 - x215) + sqr(
       9.82188246465487 - x217) + sqr(7.4461736036308 - x219)
        + 245.091065242949*b105 =L= 246.091065242949;

e188.. sqr(6.75415604579508 - x213) + sqr(4.56383909220998 - x215) + sqr(
       5.80815448731129 - x217) + sqr(1.39230685391611 - x219)
        + 140.463739979998*b106 =L= 141.463739979998;

e189.. sqr(8.85890029315383 - x213) + sqr(6.16141864425327 - x215) + sqr(
       2.25373679776979 - x217) + sqr(2.60508233041854 - x219)
        + 199.511614429278*b107 =L= 200.511614429278;

e190.. sqr(5.3549498366276 - x213) + sqr(6.5028620799581 - x215) + sqr(
       3.77860881416883 - x217) + sqr(3.88773754222155 - x219)
        + 126.987839343492*b108 =L= 127.987839343492;

e191.. sqr(0.113259012567859 - x213) + sqr(4.95866301539607 - x215) + sqr(
       8.39278608004883 - x217) + sqr(2.33998997152253 - x219)
        + 181.595796730204*b109 =L= 182.595796730204;

e192.. sqr(4.01186017931937 - x213) + sqr(1.58505280271348 - x215) + sqr(
       6.66701704740187 - x217) + sqr(6.15579863983494 - x219)
        + 140.650077775347*b110 =L= 141.650077775347;

e193.. sqr(6.96869478428464 - x213) + sqr(4.10398909952988 - x215) + sqr(
       6.0102827867986 - x217) + sqr(2.74411959285283 - x219)
        + 129.582385211462*b111 =L= 130.582385211462;

e194.. sqr(4.87285195085022 - x213) + sqr(9.86295765077007 - x215) + sqr(
       0.143489359365916 - x217) + sqr(8.80632332989694 - x219)
        + 226.736334872871*b112 =L= 227.736334872871;

e195.. sqr(7.83131209913544 - x213) + sqr(1.43609337392774 - x215) + sqr(
       3.30054263355244 - x217) + sqr(0.00125718557078214 - x219)
        + 199.220071314074*b113 =L= 200.220071314074;

e196.. sqr(5.66454764000128 - x213) + sqr(5.56331545204103 - x215) + sqr(
       1.14993711831163 - x217) + sqr(4.5715891663462 - x219)
        + 149.784254351217*b114 =L= 150.784254351217;

e197.. sqr(3.33190103022031 - x213) + sqr(4.9445883792678 - x215) + sqr(
       7.30728727625694 - x217) + sqr(8.01246235442081 - x219)
        + 146.896187485824*b115 =L= 147.896187485824;

e198.. sqr(9.33298244503801 - x213) + sqr(0.723851580512842 - x215) + sqr(
       8.42864317892565 - x217) + sqr(4.32119007374061 - x219)
        + 219.90174536577*b116 =L= 220.90174536577;

e199.. sqr(5.08063287228698 - x213) + sqr(8.38761519865226 - x215) + sqr(
       1.4027356086197 - x217) + sqr(6.86412480592018 - x219)
        + 164.06318777512*b117 =L= 165.06318777512;

e200.. sqr(2.37234068047016 - x213) + sqr(7.05084260559812 - x215) + sqr(
       9.48571415448197 - x217) + sqr(5.77659906719162 - x219)
        + 194.814503184848*b118 =L= 195.814503184848;

e201.. sqr(4.16198173364841 - x213) + sqr(5.45114144772148 - x215) + sqr(
       9.00182905163397 - x217) + sqr(3.4826499770368 - x219)
        + 149.300564915884*b119 =L= 150.300564915884;

e202.. sqr(4.45933786757702 - x213) + sqr(4.47805189258463 - x215) + sqr(
       6.61692822015399 - x217) + sqr(5.6343120215581 - x219)
        + 99.1502941148379*b120 =L= 100.150294114838;

e203..    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 =E= 1;

e204.. sqr(4.04180710023322 - x221) + sqr(0.0638120906615358 - x223) + sqr(
       9.31163964055327 - x225) + sqr(9.59399362610548 - x227)
        + 247.918202243131*b121 =L= 248.918202243131;

e205.. sqr(7.58630473662528 - x221) + sqr(9.81696808234314 - x223) + sqr(
       6.80594062551012 - x225) + sqr(5.73941560922778 - x227)
        + 172.97632549661*b122 =L= 173.97632549661;

e206.. sqr(4.73576208695481 - x221) + sqr(2.81737915136856 - x223) + sqr(
       0.919919756378161 - x225) + sqr(0.427396562561213 - x227)
        + 192.870854266185*b123 =L= 193.870854266185;

e207.. sqr(0.428853030190813 - x221) + sqr(5.71294529671424 - x223) + sqr(
       2.06079707847737 - x225) + sqr(3.87755584734058 - x227)
        + 168.997467410559*b124 =L= 169.997467410559;

e208.. sqr(1.0774677742481 - x221) + sqr(0.802343324640142 - x223) + sqr(
       5.05560926630768 - x225) + sqr(6.38583388950109 - x227)
        + 160.592363348786*b125 =L= 161.592363348786;

e209.. sqr(1.12638621393495 - x221) + sqr(1.60465763780203 - x223) + sqr(
       4.07986801140447 - x225) + sqr(2.17037731980447 - x227)
        + 165.579518594568*b126 =L= 166.579518594568;

e210.. sqr(1.82688019388165 - x221) + sqr(4.63411239877442 - x223) + sqr(
       5.05145431164509 - x225) + sqr(3.74855986966667 - x227)
        + 104.866109371321*b127 =L= 105.866109371321;

e211.. sqr(8.44017389324234 - x221) + sqr(3.82403068466693 - x223) + sqr(
       8.92353737043929 - x225) + sqr(4.64273943517454 - x227)
        + 167.587335871824*b128 =L= 168.587335871824;

e212.. sqr(5.87176386853829 - x221) + sqr(1.44175632208916 - x223) + sqr(
       3.18165222878213 - x225) + sqr(5.19789554578514 - x227)
        + 128.282182640462*b129 =L= 129.282182640462;

e213.. sqr(6.76013297629122 - x221) + sqr(3.21254997009641 - x223) + sqr(
       9.46706727409796 - x225) + sqr(0.816604516799142 - x227)
        + 226.736334872871*b130 =L= 227.736334872871;

e214.. sqr(3.24901644799959 - x221) + sqr(7.51480516788174 - x223) + sqr(
       4.01508707364147 - x225) + sqr(4.50822439140953 - x227)
        + 131.046642602757*b131 =L= 132.046642602757;

e215.. sqr(0.388900076234485 - x221) + sqr(5.87163371055414 - x223) + sqr(
       3.83580726436302 - x225) + sqr(3.02326353201313 - x227)
        + 152.01486044439*b132 =L= 153.01486044439;

e216.. sqr(0.790446136347066 - x221) + sqr(8.25540861746511 - x223) + sqr(
       8.76325441282356 - x225) + sqr(3.16275732090416 - x227)
        + 202.990878768535*b133 =L= 203.990878768535;

e217.. sqr(2.24835841067941 - x221) + sqr(1.49328376014994 - x223) + sqr(
       6.05269717076173 - x225) + sqr(9.30035396512944 - x227)
        + 187.279582970004*b134 =L= 188.279582970004;

e218.. sqr(9.00506853532299 - x221) + sqr(4.84258207392989 - x223) + sqr(
       5.30242448190069 - x225) + sqr(1.96947429895047 - x227)
        + 158.002379384289*b135 =L= 159.002379384289;

e219.. sqr(7.06852474736736 - x221) + sqr(0.403068662414334 - x223) + sqr(
       0.20219913526021 - x225) + sqr(1.72727050657669 - x227)
        + 229.407479988904*b136 =L= 230.407479988904;

e220.. sqr(2.04415436610942 - x221) + sqr(9.79340385699591 - x223) + sqr(
       1.37229670501157 - x225) + sqr(6.1403045098624 - x227)
        + 215.942963749551*b137 =L= 216.942963749551;

e221.. sqr(7.57624032466962 - x221) + sqr(7.76217255967217 - x223) + sqr(
       0.355128375706556 - x225) + sqr(1.44611951386816 - x227)
        + 247.918202243131*b138 =L= 248.918202243131;

e222.. sqr(5.27432353822418 - x221) + sqr(8.94703040209787 - x223) + sqr(
       6.2373757380993 - x225) + sqr(9.23461806871597 - x227)
        + 195.00222302105*b139 =L= 196.00222302105;

e223.. sqr(0.996186045951476 - x221) + sqr(1.36457455477018 - x223) + sqr(
       1.56471044095596 - x225) + sqr(3.36816773533039 - x227)
        + 172.294180536922*b140 =L= 173.294180536922;

e224.. sqr(4.02233509809877 - x221) + sqr(8.45745652401958 - x223) + sqr(
       9.01254148426443 - x225) + sqr(8.74685412361603 - x227)
        + 229.407479988904*b141 =L= 230.407479988904;

e225.. sqr(8.70857268900905 - x221) + sqr(1.11796994384596 - x223) + sqr(
       5.00432053303839 - x225) + sqr(2.40385817397397 - x227)
        + 180.771322437022*b142 =L= 181.771322437022;

e226.. sqr(7.54765700959199 - x221) + sqr(4.80143075267339 - x223) + sqr(
       8.40046817462899 - x225) + sqr(8.29113964786696 - x227)
        + 152.663354968323*b143 =L= 153.663354968323;

e227.. sqr(0.966865551002543 - x221) + sqr(9.92855620143344 - x223) + sqr(
       5.74951319729978 - x225) + sqr(3.53637928232447 - x227)
        + 188.008216290247*b144 =L= 189.008216290247;

e228.. sqr(0.45538917132773 - x221) + sqr(1.48603663213761 - x223) + sqr(
       9.82188246465487 - x225) + sqr(7.4461736036308 - x227)
        + 245.091065242949*b145 =L= 246.091065242949;

e229.. sqr(6.75415604579508 - x221) + sqr(4.56383909220998 - x223) + sqr(
       5.80815448731129 - x225) + sqr(1.39230685391611 - x227)
        + 140.463739979998*b146 =L= 141.463739979998;

e230.. sqr(8.85890029315383 - x221) + sqr(6.16141864425327 - x223) + sqr(
       2.25373679776979 - x225) + sqr(2.60508233041854 - x227)
        + 199.511614429278*b147 =L= 200.511614429278;

e231.. sqr(5.3549498366276 - x221) + sqr(6.5028620799581 - x223) + sqr(
       3.77860881416883 - x225) + sqr(3.88773754222155 - x227)
        + 126.987839343492*b148 =L= 127.987839343492;

e232.. sqr(0.113259012567859 - x221) + sqr(4.95866301539607 - x223) + sqr(
       8.39278608004883 - x225) + sqr(2.33998997152253 - x227)
        + 181.595796730204*b149 =L= 182.595796730204;

e233.. sqr(4.01186017931937 - x221) + sqr(1.58505280271348 - x223) + sqr(
       6.66701704740187 - x225) + sqr(6.15579863983494 - x227)
        + 140.650077775347*b150 =L= 141.650077775347;

e234.. sqr(6.96869478428464 - x221) + sqr(4.10398909952988 - x223) + sqr(
       6.0102827867986 - x225) + sqr(2.74411959285283 - x227)
        + 129.582385211462*b151 =L= 130.582385211462;

e235.. sqr(4.87285195085022 - x221) + sqr(9.86295765077007 - x223) + sqr(
       0.143489359365916 - x225) + sqr(8.80632332989694 - x227)
        + 226.736334872871*b152 =L= 227.736334872871;

e236.. sqr(7.83131209913544 - x221) + sqr(1.43609337392774 - x223) + sqr(
       3.30054263355244 - x225) + sqr(0.00125718557078214 - x227)
        + 199.220071314074*b153 =L= 200.220071314074;

e237.. sqr(5.66454764000128 - x221) + sqr(5.56331545204103 - x223) + sqr(
       1.14993711831163 - x225) + sqr(4.5715891663462 - x227)
        + 149.784254351217*b154 =L= 150.784254351217;

e238.. sqr(3.33190103022031 - x221) + sqr(4.9445883792678 - x223) + sqr(
       7.30728727625694 - x225) + sqr(8.01246235442081 - x227)
        + 146.896187485824*b155 =L= 147.896187485824;

e239.. sqr(9.33298244503801 - x221) + sqr(0.723851580512842 - x223) + sqr(
       8.42864317892565 - x225) + sqr(4.32119007374061 - x227)
        + 219.90174536577*b156 =L= 220.90174536577;

e240.. sqr(5.08063287228698 - x221) + sqr(8.38761519865226 - x223) + sqr(
       1.4027356086197 - x225) + sqr(6.86412480592018 - x227)
        + 164.06318777512*b157 =L= 165.06318777512;

e241.. sqr(2.37234068047016 - x221) + sqr(7.05084260559812 - x223) + sqr(
       9.48571415448197 - x225) + sqr(5.77659906719162 - x227)
        + 194.814503184848*b158 =L= 195.814503184848;

e242.. sqr(4.16198173364841 - x221) + sqr(5.45114144772148 - x223) + sqr(
       9.00182905163397 - x225) + sqr(3.4826499770368 - x227)
        + 149.300564915884*b159 =L= 150.300564915884;

e243.. sqr(4.45933786757702 - x221) + sqr(4.47805189258463 - x223) + sqr(
       6.61692822015399 - x225) + sqr(5.6343120215581 - x227)
        + 99.1502941148379*b160 =L= 100.150294114838;

e244..    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
        =E= 1;

e245.. sqr(4.04180710023322 - x229) + sqr(0.0638120906615358 - x231) + sqr(
       9.31163964055327 - x233) + sqr(9.59399362610548 - x235)
        + 247.918202243131*b161 =L= 248.918202243131;

e246.. sqr(7.58630473662528 - x229) + sqr(9.81696808234314 - x231) + sqr(
       6.80594062551012 - x233) + sqr(5.73941560922778 - x235)
        + 172.97632549661*b162 =L= 173.97632549661;

e247.. sqr(4.73576208695481 - x229) + sqr(2.81737915136856 - x231) + sqr(
       0.919919756378161 - x233) + sqr(0.427396562561213 - x235)
        + 192.870854266185*b163 =L= 193.870854266185;

e248.. sqr(0.428853030190813 - x229) + sqr(5.71294529671424 - x231) + sqr(
       2.06079707847737 - x233) + sqr(3.87755584734058 - x235)
        + 168.997467410559*b164 =L= 169.997467410559;

e249.. sqr(1.0774677742481 - x229) + sqr(0.802343324640142 - x231) + sqr(
       5.05560926630768 - x233) + sqr(6.38583388950109 - x235)
        + 160.592363348786*b165 =L= 161.592363348786;

e250.. sqr(1.12638621393495 - x229) + sqr(1.60465763780203 - x231) + sqr(
       4.07986801140447 - x233) + sqr(2.17037731980447 - x235)
        + 165.579518594568*b166 =L= 166.579518594568;

e251.. sqr(1.82688019388165 - x229) + sqr(4.63411239877442 - x231) + sqr(
       5.05145431164509 - x233) + sqr(3.74855986966667 - x235)
        + 104.866109371321*b167 =L= 105.866109371321;

e252.. sqr(8.44017389324234 - x229) + sqr(3.82403068466693 - x231) + sqr(
       8.92353737043929 - x233) + sqr(4.64273943517454 - x235)
        + 167.587335871824*b168 =L= 168.587335871824;

e253.. sqr(5.87176386853829 - x229) + sqr(1.44175632208916 - x231) + sqr(
       3.18165222878213 - x233) + sqr(5.19789554578514 - x235)
        + 128.282182640462*b169 =L= 129.282182640462;

e254.. sqr(6.76013297629122 - x229) + sqr(3.21254997009641 - x231) + sqr(
       9.46706727409796 - x233) + sqr(0.816604516799142 - x235)
        + 226.736334872871*b170 =L= 227.736334872871;

e255.. sqr(3.24901644799959 - x229) + sqr(7.51480516788174 - x231) + sqr(
       4.01508707364147 - x233) + sqr(4.50822439140953 - x235)
        + 131.046642602757*b171 =L= 132.046642602757;

e256.. sqr(0.388900076234485 - x229) + sqr(5.87163371055414 - x231) + sqr(
       3.83580726436302 - x233) + sqr(3.02326353201313 - x235)
        + 152.01486044439*b172 =L= 153.01486044439;

e257.. sqr(0.790446136347066 - x229) + sqr(8.25540861746511 - x231) + sqr(
       8.76325441282356 - x233) + sqr(3.16275732090416 - x235)
        + 202.990878768535*b173 =L= 203.990878768535;

e258.. sqr(2.24835841067941 - x229) + sqr(1.49328376014994 - x231) + sqr(
       6.05269717076173 - x233) + sqr(9.30035396512944 - x235)
        + 187.279582970004*b174 =L= 188.279582970004;

e259.. sqr(9.00506853532299 - x229) + sqr(4.84258207392989 - x231) + sqr(
       5.30242448190069 - x233) + sqr(1.96947429895047 - x235)
        + 158.002379384289*b175 =L= 159.002379384289;

e260.. sqr(7.06852474736736 - x229) + sqr(0.403068662414334 - x231) + sqr(
       0.20219913526021 - x233) + sqr(1.72727050657669 - x235)
        + 229.407479988904*b176 =L= 230.407479988904;

e261.. sqr(2.04415436610942 - x229) + sqr(9.79340385699591 - x231) + sqr(
       1.37229670501157 - x233) + sqr(6.1403045098624 - x235)
        + 215.942963749551*b177 =L= 216.942963749551;

e262.. sqr(7.57624032466962 - x229) + sqr(7.76217255967217 - x231) + sqr(
       0.355128375706556 - x233) + sqr(1.44611951386816 - x235)
        + 247.918202243131*b178 =L= 248.918202243131;

e263.. sqr(5.27432353822418 - x229) + sqr(8.94703040209787 - x231) + sqr(
       6.2373757380993 - x233) + sqr(9.23461806871597 - x235)
        + 195.00222302105*b179 =L= 196.00222302105;

e264.. sqr(0.996186045951476 - x229) + sqr(1.36457455477018 - x231) + sqr(
       1.56471044095596 - x233) + sqr(3.36816773533039 - x235)
        + 172.294180536922*b180 =L= 173.294180536922;

e265.. sqr(4.02233509809877 - x229) + sqr(8.45745652401958 - x231) + sqr(
       9.01254148426443 - x233) + sqr(8.74685412361603 - x235)
        + 229.407479988904*b181 =L= 230.407479988904;

e266.. sqr(8.70857268900905 - x229) + sqr(1.11796994384596 - x231) + sqr(
       5.00432053303839 - x233) + sqr(2.40385817397397 - x235)
        + 180.771322437022*b182 =L= 181.771322437022;

e267.. sqr(7.54765700959199 - x229) + sqr(4.80143075267339 - x231) + sqr(
       8.40046817462899 - x233) + sqr(8.29113964786696 - x235)
        + 152.663354968323*b183 =L= 153.663354968323;

e268.. sqr(0.966865551002543 - x229) + sqr(9.92855620143344 - x231) + sqr(
       5.74951319729978 - x233) + sqr(3.53637928232447 - x235)
        + 188.008216290247*b184 =L= 189.008216290247;

e269.. sqr(0.45538917132773 - x229) + sqr(1.48603663213761 - x231) + sqr(
       9.82188246465487 - x233) + sqr(7.4461736036308 - x235)
        + 245.091065242949*b185 =L= 246.091065242949;

e270.. sqr(6.75415604579508 - x229) + sqr(4.56383909220998 - x231) + sqr(
       5.80815448731129 - x233) + sqr(1.39230685391611 - x235)
        + 140.463739979998*b186 =L= 141.463739979998;

e271.. sqr(8.85890029315383 - x229) + sqr(6.16141864425327 - x231) + sqr(
       2.25373679776979 - x233) + sqr(2.60508233041854 - x235)
        + 199.511614429278*b187 =L= 200.511614429278;

e272.. sqr(5.3549498366276 - x229) + sqr(6.5028620799581 - x231) + sqr(
       3.77860881416883 - x233) + sqr(3.88773754222155 - x235)
        + 126.987839343492*b188 =L= 127.987839343492;

e273.. sqr(0.113259012567859 - x229) + sqr(4.95866301539607 - x231) + sqr(
       8.39278608004883 - x233) + sqr(2.33998997152253 - x235)
        + 181.595796730204*b189 =L= 182.595796730204;

e274.. sqr(4.01186017931937 - x229) + sqr(1.58505280271348 - x231) + sqr(
       6.66701704740187 - x233) + sqr(6.15579863983494 - x235)
        + 140.650077775347*b190 =L= 141.650077775347;

e275.. sqr(6.96869478428464 - x229) + sqr(4.10398909952988 - x231) + sqr(
       6.0102827867986 - x233) + sqr(2.74411959285283 - x235)
        + 129.582385211462*b191 =L= 130.582385211462;

e276.. sqr(4.87285195085022 - x229) + sqr(9.86295765077007 - x231) + sqr(
       0.143489359365916 - x233) + sqr(8.80632332989694 - x235)
        + 226.736334872871*b192 =L= 227.736334872871;

e277.. sqr(7.83131209913544 - x229) + sqr(1.43609337392774 - x231) + sqr(
       3.30054263355244 - x233) + sqr(0.00125718557078214 - x235)
        + 199.220071314074*b193 =L= 200.220071314074;

e278.. sqr(5.66454764000128 - x229) + sqr(5.56331545204103 - x231) + sqr(
       1.14993711831163 - x233) + sqr(4.5715891663462 - x235)
        + 149.784254351217*b194 =L= 150.784254351217;

e279.. sqr(3.33190103022031 - x229) + sqr(4.9445883792678 - x231) + sqr(
       7.30728727625694 - x233) + sqr(8.01246235442081 - x235)
        + 146.896187485824*b195 =L= 147.896187485824;

e280.. sqr(9.33298244503801 - x229) + sqr(0.723851580512842 - x231) + sqr(
       8.42864317892565 - x233) + sqr(4.32119007374061 - x235)
        + 219.90174536577*b196 =L= 220.90174536577;

e281.. sqr(5.08063287228698 - x229) + sqr(8.38761519865226 - x231) + sqr(
       1.4027356086197 - x233) + sqr(6.86412480592018 - x235)
        + 164.06318777512*b197 =L= 165.06318777512;

e282.. sqr(2.37234068047016 - x229) + sqr(7.05084260559812 - x231) + sqr(
       9.48571415448197 - x233) + sqr(5.77659906719162 - x235)
        + 194.814503184848*b198 =L= 195.814503184848;

e283.. sqr(4.16198173364841 - x229) + sqr(5.45114144772148 - x231) + sqr(
       9.00182905163397 - x233) + sqr(3.4826499770368 - x235)
        + 149.300564915884*b199 =L= 150.300564915884;

e284.. sqr(4.45933786757702 - x229) + sqr(4.47805189258463 - x231) + sqr(
       6.61692822015399 - x233) + sqr(5.6343120215581 - x235)
        + 99.1502941148379*b200 =L= 100.150294114838;

e285..    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
        =E= 1;

e286..    b1 + b41 + b81 + b121 + b161 =L= 1;

e287..    b2 + b42 + b82 + b122 + b162 =L= 1;

e288..    b3 + b43 + b83 + b123 + b163 =L= 1;

e289..    b4 + b44 + b84 + b124 + b164 =L= 1;

e290..    b5 + b45 + b85 + b125 + b165 =L= 1;

e291..    b6 + b46 + b86 + b126 + b166 =L= 1;

e292..    b7 + b47 + b87 + b127 + b167 =L= 1;

e293..    b8 + b48 + b88 + b128 + b168 =L= 1;

e294..    b9 + b49 + b89 + b129 + b169 =L= 1;

e295..    b10 + b50 + b90 + b130 + b170 =L= 1;

e296..    b11 + b51 + b91 + b131 + b171 =L= 1;

e297..    b12 + b52 + b92 + b132 + b172 =L= 1;

e298..    b13 + b53 + b93 + b133 + b173 =L= 1;

e299..    b14 + b54 + b94 + b134 + b174 =L= 1;

e300..    b15 + b55 + b95 + b135 + b175 =L= 1;

e301..    b16 + b56 + b96 + b136 + b176 =L= 1;

e302..    b17 + b57 + b97 + b137 + b177 =L= 1;

e303..    b18 + b58 + b98 + b138 + b178 =L= 1;

e304..    b19 + b59 + b99 + b139 + b179 =L= 1;

e305..    b20 + b60 + b100 + b140 + b180 =L= 1;

e306..    b21 + b61 + b101 + b141 + b181 =L= 1;

e307..    b22 + b62 + b102 + b142 + b182 =L= 1;

e308..    b23 + b63 + b103 + b143 + b183 =L= 1;

e309..    b24 + b64 + b104 + b144 + b184 =L= 1;

e310..    b25 + b65 + b105 + b145 + b185 =L= 1;

e311..    b26 + b66 + b106 + b146 + b186 =L= 1;

e312..    b27 + b67 + b107 + b147 + b187 =L= 1;

e313..    b28 + b68 + b108 + b148 + b188 =L= 1;

e314..    b29 + b69 + b109 + b149 + b189 =L= 1;

e315..    b30 + b70 + b110 + b150 + b190 =L= 1;

e316..    b31 + b71 + b111 + b151 + b191 =L= 1;

e317..    b32 + b72 + b112 + b152 + b192 =L= 1;

e318..    b33 + b73 + b113 + b153 + b193 =L= 1;

e319..    b34 + b74 + b114 + b154 + b194 =L= 1;

e320..    b35 + b75 + b115 + b155 + b195 =L= 1;

e321..    b36 + b76 + b116 + b156 + b196 =L= 1;

e322..    b37 + b77 + b117 + b157 + b197 =L= 1;

e323..    b38 + b78 + b118 + b158 + b198 =L= 1;

e324..    b39 + b79 + b119 + b159 + b199 =L= 1;

e325..    b40 + b80 + b120 + b160 + b200 =L= 1;

e326..    x201 - x202 =L= 0;

e327..    x202 - x213 =L= 0;

e328..    x213 - x221 =L= 0;

e329..    x221 - x229 =L= 0;

e330..  - x203 - x206 - x209 - x212 - x214 - 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
        + objvar =E= 0;

* set non-default bounds
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;

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
Imprint / Privacy Policy / License: CC-BY 4.0