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Instance p_ball_40b_5p_3d_m

Select 5-points in 3-dimensional balls, such that the l1-distance between all points is minimized.
Only one point can be assigned to each ball, and in total there are 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)
9.77717654 p1 ( gdx sol )
(infeas: 3e-16)
Other points (infeas > 1e-08)  
Dual Bounds
0.00000000 (ALPHAECP)
9.77711241 (ANTIGONE)
9.77714329 (BARON)
6.32644506 (BONMIN)
0.00000000 (COUENNE)
9.77717654 (CPLEX)
9.77687944 (GUROBI)
9.77717654 (LINDO)
0.00000195 (OCTERACT)
9.77717143 (SCIP)
9.77717654 (SHOT)
References Kronqvist, Jan and Misener, Ruth, A disjunctive cut strengthening technique for convex MINLP, Tech. Rep., 2020.
Source p_ball_40b_5p_3d.gms, contributed by Jan Kronqvist and Ruth Misener
Application Geometry
Added to library 26 Aug 2020
Problem type MBQCP
#Variables 245
#Binary Variables 200
#Integer Variables 0
#Nonlinear Variables 15
#Nonlinear Binary Variables 0
#Nonlinear Integer Variables 0
Objective Sense min
Objective type linear
Objective curvature linear
#Nonzeros in Objective 30
#Nonlinear Nonzeros in Objective 0
#Constraints 309
#Linear Constraints 109
#Quadratic Constraints 200
#Polynomial Constraints 0
#Signomial Constraints 0
#General Nonlinear Constraints 0
Operands in Gen. Nonlin. Functions  
Constraints curvature convex
#Nonzeros in Jacobian 1388
#Nonlinear Nonzeros in Jacobian 600
#Nonzeros in (Upper-Left) Hessian of Lagrangian 15
#Nonzeros in Diagonal of Hessian of Lagrangian 15
#Blocks in Hessian of Lagrangian 15
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 1.3849e-02
Maximal coefficient 2.2463e+02
Infeasibility of initial point 1
Sparsity Jacobian Sparsity of Objective Gradient and Jacobian
Sparsity Hessian of Lagrangian Sparsity of Hessian of Lagrangian

$offlisting
*  
*  Equation counts
*      Total        E        G        L        N        X        C        B
*        310        6        0      304        0        0        0        0
*  
*  Variable counts
*                   x        b        i      s1s      s2s       sc       si
*      Total     cont   binary  integer     sos1     sos2    scont     sint
*        246       46      200        0        0        0        0        0
*  FX      0
*  
*  Nonzero counts
*      Total    const       NL      DLL
*       1419      819      600        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,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;

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;


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..    x201 - x210 - x211 =L= 0;

e8..  - x201 + x210 - x211 =L= 0;

e9..    x204 - x212 - x213 =L= 0;

e10..  - x204 + x212 - x213 =L= 0;

e11..    x207 - x214 - x215 =L= 0;

e12..  - x207 + x214 - x215 =L= 0;

e13..    x201 - x216 - x217 =L= 0;

e14..  - x201 + x216 - x217 =L= 0;

e15..    x204 - x218 - x219 =L= 0;

e16..  - x204 + x218 - x219 =L= 0;

e17..    x207 - x220 - x221 =L= 0;

e18..  - x207 + x220 - x221 =L= 0;

e19..    x201 - x222 - x223 =L= 0;

e20..  - x201 + x222 - x223 =L= 0;

e21..    x204 - x224 - x225 =L= 0;

e22..  - x204 + x224 - x225 =L= 0;

e23..    x207 - x226 - x227 =L= 0;

e24..  - x207 + x226 - x227 =L= 0;

e25..    x202 - x210 - x228 =L= 0;

e26..  - x202 + x210 - x228 =L= 0;

e27..    x205 - x212 - x229 =L= 0;

e28..  - x205 + x212 - x229 =L= 0;

e29..    x208 - x214 - x230 =L= 0;

e30..  - x208 + x214 - x230 =L= 0;

e31..    x202 - x216 - x231 =L= 0;

e32..  - x202 + x216 - x231 =L= 0;

e33..    x205 - x218 - x232 =L= 0;

e34..  - x205 + x218 - x232 =L= 0;

e35..    x208 - x220 - x233 =L= 0;

e36..  - x208 + x220 - x233 =L= 0;

e37..    x202 - x222 - x234 =L= 0;

e38..  - x202 + x222 - x234 =L= 0;

e39..    x205 - x224 - x235 =L= 0;

e40..  - x205 + x224 - x235 =L= 0;

e41..    x208 - x226 - x236 =L= 0;

e42..  - x208 + x226 - x236 =L= 0;

e43..    x210 - x216 - x237 =L= 0;

e44..  - x210 + x216 - x237 =L= 0;

e45..    x212 - x218 - x238 =L= 0;

e46..  - x212 + x218 - x238 =L= 0;

e47..    x214 - x220 - x239 =L= 0;

e48..  - x214 + x220 - x239 =L= 0;

e49..    x210 - x222 - x240 =L= 0;

e50..  - x210 + x222 - x240 =L= 0;

e51..    x212 - x224 - x241 =L= 0;

e52..  - x212 + x224 - x241 =L= 0;

e53..    x214 - x226 - x242 =L= 0;

e54..  - x214 + x226 - x242 =L= 0;

e55..    x216 - x222 - x243 =L= 0;

e56..  - x216 + x222 - x243 =L= 0;

e57..    x218 - x224 - x244 =L= 0;

e58..  - x218 + x224 - x244 =L= 0;

e59..    x220 - x226 - x245 =L= 0;

e60..  - x220 + x226 - x245 =L= 0;

e61.. sqr(0.557503724665912 - x201) + sqr(6.89699967309171 - x204) + sqr(
      6.29939235997553 - x207) + 139.882673685049*b1 =L= 140.882673685049;

e62.. sqr(3.39267738551004 - x201) + sqr(1.30003653355443 - x204) + sqr(
      1.26479284348393 - x207) + 182.66284317326*b2 =L= 183.66284317326;

e63.. sqr(2.47527631721708 - x201) + sqr(3.36800564923427 - x204) + sqr(
      0.112146679619735 - x207) + 174.174595766023*b3 =L= 175.174595766023;

e64.. sqr(4.23965937962997 - x201) + sqr(5.8354548549987 - x204) + sqr(
      5.21703959205437 - x207) + 84.8069562114188*b4 =L= 85.8069562114188;

e65.. sqr(1.90787026471349 - x201) + sqr(5.05450580331505 - x204) + sqr(
      7.01165798298937 - x207) + 105.666658166239*b5 =L= 106.666658166239;

e66.. sqr(9.92968197439359 - x201) + sqr(6.1106118319625 - x204) + sqr(
      4.29775190508136 - x207) + 161.436709465448*b6 =L= 162.436709465448;

e67.. sqr(4.89615150940308 - x201) + sqr(9.57707230097383 - x204) + sqr(
      9.8722129175456 - x207) + 224.632211642245*b7 =L= 225.632211642245;

e68.. sqr(5.20264655365834 - x201) + sqr(8.59934712303968 - x204) + sqr(
      4.8989755362197 - x207) + 130.523019355742*b8 =L= 131.523019355742;

e69.. sqr(8.39650557858195 - x201) + sqr(6.50351197563982 - x204) + sqr(
      8.43657893923448 - x207) + 194.220103883022*b9 =L= 195.220103883022;

e70.. sqr(7.9208870726961 - x201) + sqr(1.65574071738905 - x204) + sqr(
      8.95324220467027 - x207) + 167.608109542354*b10 =L= 168.608109542354;

e71.. sqr(2.94356057833666 - x201) + sqr(9.50387320454974 - x204) + sqr(
      4.84216900165818 - x207) + 155.944984455397*b11 =L= 156.944984455397;

e72.. sqr(5.67716909075113 - x201) + sqr(7.95494912869701 - x204) + sqr(
      1.8188252408716 - x207) + 143.8265902598*b12 =L= 144.8265902598;

e73.. sqr(3.47632791977689 - x201) + sqr(9.89858036195079 - x204) + sqr(
      2.48936743461692 - x207) + 187.205465302945*b13 =L= 188.205465302945;

e74.. sqr(7.19323345684947 - x201) + sqr(7.58674836824772 - x204) + sqr(
      4.37799217085148 - x207) + 133.784100223376*b14 =L= 134.784100223376;

e75.. sqr(3.68794135627274 - x201) + sqr(0.764460460651244 - x204) + sqr(
      8.93159332921224 - x207) + 161.150526627374*b15 =L= 162.150526627374;

e76.. sqr(6.09046032874766 - x201) + sqr(9.81520631625049 - x204) + sqr(
      8.68956765296896 - x207) + 218.65758210219*b16 =L= 219.65758210219;

e77.. sqr(0.159435608071623 - x201) + sqr(7.8621329842116 - x204) + sqr(
      4.34112712391974 - x207) + 176.061078593341*b17 =L= 177.061078593341;

e78.. sqr(9.30382494051085 - x201) + sqr(4.35265929316925 - x204) + sqr(
      9.41314719714275 - x207) + 207.228588657402*b18 =L= 208.228588657402;

e79.. sqr(7.06044667279098 - x201) + sqr(0.119983022609481 - x204) + sqr(
      5.21799013159819 - x207) + 187.373869370395*b19 =L= 188.373869370395;

e80.. sqr(1.28474203481519 - x201) + sqr(4.30839167378493 - x204) + sqr(
      5.07455099451718 - x207) + 117.707087109112*b20 =L= 118.707087109112;

e81.. sqr(3.95046309105854 - x201) + sqr(7.84827364227855 - x204) + sqr(
      3.43912750809001 - x207) + 131.403806640396*b21 =L= 132.403806640396;

e82.. sqr(8.86004297095793 - x201) + sqr(2.42401020162253 - x204) + sqr(
      6.97541890071488 - x207) + 158.947259740156*b22 =L= 159.947259740156;

e83.. sqr(9.70133006466227 - x201) + sqr(2.47779846426131 - x204) + sqr(
      9.94553704882512 - x207) + 214.875303499993*b23 =L= 215.875303499993;

e84.. sqr(1.26080108706515 - x201) + sqr(1.75121375015014 - x204) + sqr(
      9.30622186756532 - x207) + 184.764129697819*b24 =L= 185.764129697819;

e85.. sqr(8.34389861976271 - x201) + sqr(0.398421020867703 - x204) + sqr(
      9.40468332550345 - x207) + 200.398945392818*b25 =L= 201.398945392818;

e86.. sqr(0.458699783921438 - x201) + sqr(9.95271170285553 - x204) + sqr(
      9.87184681196407 - x207) + 219.689414889155*b26 =L= 220.689414889155;

e87.. sqr(1.6117537168338 - x201) + sqr(6.32876332917705 - x204) + sqr(
      0.253813032788369 - x207) + 200.5977121042*b27 =L= 201.5977121042;

e88.. sqr(3.46648532406983 - x201) + sqr(4.00972468964353 - x204) + sqr(
      3.47940856689719 - x207) + 103.693060602793*b28 =L= 104.693060602793;

e89.. sqr(9.24571897700111 - x201) + sqr(0.559109940924647 - x204) + sqr(
      4.72143745016658 - x207) + 219.689414889155*b29 =L= 220.689414889155;

e90.. sqr(1.80747416465249 - x201) + sqr(5.58858387120364 - x204) + sqr(
      8.71378289454331 - x207) + 123.893230383562*b30 =L= 124.893230383562;

e91.. sqr(1.41393713125356 - x201) + sqr(7.94458518662143 - x204) + sqr(
      1.0952329046171 - x207) + 203.494862154236*b31 =L= 204.494862154236;

e92.. sqr(7.85751206293337 - x201) + sqr(2.34992401729597 - x204) + sqr(
      5.94661276765362 - x207) + 150.575463512564*b32 =L= 151.575463512564;

e93.. sqr(5.76996561939867 - x201) + sqr(3.13220421841133 - x204) + sqr(
      7.32413956683818 - x207) + 106.602252199094*b33 =L= 107.602252199094;

e94.. sqr(5.03675100106706 - x201) + sqr(3.8492948064408 - x204) + sqr(
      8.26500796855089 - x207) + 119.242421179142*b34 =L= 120.242421179142;

e95.. sqr(9.18783741616912 - x201) + sqr(2.86959611527789 - x204) + sqr(
      9.55868938722983 - x207) + 198.559992859524*b35 =L= 199.559992859524;

e96.. sqr(9.72963694557713 - x201) + sqr(4.95412136849809 - x204) + sqr(
      7.88965319296968 - x207) + 192.395482422753*b36 =L= 193.395482422753;

e97.. sqr(4.44990459463169 - x201) + sqr(7.37342841442893 - x204) + sqr(
      5.84940769948895 - x207) + 114.723635769507*b37 =L= 115.723635769507;

e98.. sqr(0.453871807006551 - x201) + sqr(0.651328833092699 - x204) + sqr(
      0.013848532114219 - x207) + 224.632211642245*b38 =L= 225.632211642245;

e99.. sqr(7.68086203645083 - x201) + sqr(1.90461809371178 - x204) + sqr(
      2.73211644708798 - x207) + 193.822989231709*b39 =L= 194.822989231709;

e100.. sqr(9.01196046905024 - x201) + sqr(8.86318587386137 - x204) + sqr(
       2.31734160055559 - x207) + 184.764129697819*b40 =L= 185.764129697819;

e101..    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;

e102.. sqr(0.557503724665912 - x202) + sqr(6.89699967309171 - x205) + sqr(
       6.29939235997553 - x208) + 139.882673685049*b41 =L= 140.882673685049;

e103.. sqr(3.39267738551004 - x202) + sqr(1.30003653355443 - x205) + sqr(
       1.26479284348393 - x208) + 182.66284317326*b42 =L= 183.66284317326;

e104.. sqr(2.47527631721708 - x202) + sqr(3.36800564923427 - x205) + sqr(
       0.112146679619735 - x208) + 174.174595766023*b43 =L= 175.174595766023;

e105.. sqr(4.23965937962997 - x202) + sqr(5.8354548549987 - x205) + sqr(
       5.21703959205437 - x208) + 84.8069562114188*b44 =L= 85.8069562114188;

e106.. sqr(1.90787026471349 - x202) + sqr(5.05450580331505 - x205) + sqr(
       7.01165798298937 - x208) + 105.666658166239*b45 =L= 106.666658166239;

e107.. sqr(9.92968197439359 - x202) + sqr(6.1106118319625 - x205) + sqr(
       4.29775190508136 - x208) + 161.436709465448*b46 =L= 162.436709465448;

e108.. sqr(4.89615150940308 - x202) + sqr(9.57707230097383 - x205) + sqr(
       9.8722129175456 - x208) + 224.632211642245*b47 =L= 225.632211642245;

e109.. sqr(5.20264655365834 - x202) + sqr(8.59934712303968 - x205) + sqr(
       4.8989755362197 - x208) + 130.523019355742*b48 =L= 131.523019355742;

e110.. sqr(8.39650557858195 - x202) + sqr(6.50351197563982 - x205) + sqr(
       8.43657893923448 - x208) + 194.220103883022*b49 =L= 195.220103883022;

e111.. sqr(7.9208870726961 - x202) + sqr(1.65574071738905 - x205) + sqr(
       8.95324220467027 - x208) + 167.608109542354*b50 =L= 168.608109542354;

e112.. sqr(2.94356057833666 - x202) + sqr(9.50387320454974 - x205) + sqr(
       4.84216900165818 - x208) + 155.944984455397*b51 =L= 156.944984455397;

e113.. sqr(5.67716909075113 - x202) + sqr(7.95494912869701 - x205) + sqr(
       1.8188252408716 - x208) + 143.8265902598*b52 =L= 144.8265902598;

e114.. sqr(3.47632791977689 - x202) + sqr(9.89858036195079 - x205) + sqr(
       2.48936743461692 - x208) + 187.205465302945*b53 =L= 188.205465302945;

e115.. sqr(7.19323345684947 - x202) + sqr(7.58674836824772 - x205) + sqr(
       4.37799217085148 - x208) + 133.784100223376*b54 =L= 134.784100223376;

e116.. sqr(3.68794135627274 - x202) + sqr(0.764460460651244 - x205) + sqr(
       8.93159332921224 - x208) + 161.150526627374*b55 =L= 162.150526627374;

e117.. sqr(6.09046032874766 - x202) + sqr(9.81520631625049 - x205) + sqr(
       8.68956765296896 - x208) + 218.65758210219*b56 =L= 219.65758210219;

e118.. sqr(0.159435608071623 - x202) + sqr(7.8621329842116 - x205) + sqr(
       4.34112712391974 - x208) + 176.061078593341*b57 =L= 177.061078593341;

e119.. sqr(9.30382494051085 - x202) + sqr(4.35265929316925 - x205) + sqr(
       9.41314719714275 - x208) + 207.228588657402*b58 =L= 208.228588657402;

e120.. sqr(7.06044667279098 - x202) + sqr(0.119983022609481 - x205) + sqr(
       5.21799013159819 - x208) + 187.373869370395*b59 =L= 188.373869370395;

e121.. sqr(1.28474203481519 - x202) + sqr(4.30839167378493 - x205) + sqr(
       5.07455099451718 - x208) + 117.707087109112*b60 =L= 118.707087109112;

e122.. sqr(3.95046309105854 - x202) + sqr(7.84827364227855 - x205) + sqr(
       3.43912750809001 - x208) + 131.403806640396*b61 =L= 132.403806640396;

e123.. sqr(8.86004297095793 - x202) + sqr(2.42401020162253 - x205) + sqr(
       6.97541890071488 - x208) + 158.947259740156*b62 =L= 159.947259740156;

e124.. sqr(9.70133006466227 - x202) + sqr(2.47779846426131 - x205) + sqr(
       9.94553704882512 - x208) + 214.875303499993*b63 =L= 215.875303499993;

e125.. sqr(1.26080108706515 - x202) + sqr(1.75121375015014 - x205) + sqr(
       9.30622186756532 - x208) + 184.764129697819*b64 =L= 185.764129697819;

e126.. sqr(8.34389861976271 - x202) + sqr(0.398421020867703 - x205) + sqr(
       9.40468332550345 - x208) + 200.398945392818*b65 =L= 201.398945392818;

e127.. sqr(0.458699783921438 - x202) + sqr(9.95271170285553 - x205) + sqr(
       9.87184681196407 - x208) + 219.689414889155*b66 =L= 220.689414889155;

e128.. sqr(1.6117537168338 - x202) + sqr(6.32876332917705 - x205) + sqr(
       0.253813032788369 - x208) + 200.5977121042*b67 =L= 201.5977121042;

e129.. sqr(3.46648532406983 - x202) + sqr(4.00972468964353 - x205) + sqr(
       3.47940856689719 - x208) + 103.693060602793*b68 =L= 104.693060602793;

e130.. sqr(9.24571897700111 - x202) + sqr(0.559109940924647 - x205) + sqr(
       4.72143745016658 - x208) + 219.689414889155*b69 =L= 220.689414889155;

e131.. sqr(1.80747416465249 - x202) + sqr(5.58858387120364 - x205) + sqr(
       8.71378289454331 - x208) + 123.893230383562*b70 =L= 124.893230383562;

e132.. sqr(1.41393713125356 - x202) + sqr(7.94458518662143 - x205) + sqr(
       1.0952329046171 - x208) + 203.494862154236*b71 =L= 204.494862154236;

e133.. sqr(7.85751206293337 - x202) + sqr(2.34992401729597 - x205) + sqr(
       5.94661276765362 - x208) + 150.575463512564*b72 =L= 151.575463512564;

e134.. sqr(5.76996561939867 - x202) + sqr(3.13220421841133 - x205) + sqr(
       7.32413956683818 - x208) + 106.602252199094*b73 =L= 107.602252199094;

e135.. sqr(5.03675100106706 - x202) + sqr(3.8492948064408 - x205) + sqr(
       8.26500796855089 - x208) + 119.242421179142*b74 =L= 120.242421179142;

e136.. sqr(9.18783741616912 - x202) + sqr(2.86959611527789 - x205) + sqr(
       9.55868938722983 - x208) + 198.559992859524*b75 =L= 199.559992859524;

e137.. sqr(9.72963694557713 - x202) + sqr(4.95412136849809 - x205) + sqr(
       7.88965319296968 - x208) + 192.395482422753*b76 =L= 193.395482422753;

e138.. sqr(4.44990459463169 - x202) + sqr(7.37342841442893 - x205) + sqr(
       5.84940769948895 - x208) + 114.723635769507*b77 =L= 115.723635769507;

e139.. sqr(0.453871807006551 - x202) + sqr(0.651328833092699 - x205) + sqr(
       0.013848532114219 - x208) + 224.632211642245*b78 =L= 225.632211642245;

e140.. sqr(7.68086203645083 - x202) + sqr(1.90461809371178 - x205) + sqr(
       2.73211644708798 - x208) + 193.822989231709*b79 =L= 194.822989231709;

e141.. sqr(9.01196046905024 - x202) + sqr(8.86318587386137 - x205) + sqr(
       2.31734160055559 - x208) + 184.764129697819*b80 =L= 185.764129697819;

e142..    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;

e143.. sqr(0.557503724665912 - x210) + sqr(6.89699967309171 - x212) + sqr(
       6.29939235997553 - x214) + 139.882673685049*b81 =L= 140.882673685049;

e144.. sqr(3.39267738551004 - x210) + sqr(1.30003653355443 - x212) + sqr(
       1.26479284348393 - x214) + 182.66284317326*b82 =L= 183.66284317326;

e145.. sqr(2.47527631721708 - x210) + sqr(3.36800564923427 - x212) + sqr(
       0.112146679619735 - x214) + 174.174595766023*b83 =L= 175.174595766023;

e146.. sqr(4.23965937962997 - x210) + sqr(5.8354548549987 - x212) + sqr(
       5.21703959205437 - x214) + 84.8069562114188*b84 =L= 85.8069562114188;

e147.. sqr(1.90787026471349 - x210) + sqr(5.05450580331505 - x212) + sqr(
       7.01165798298937 - x214) + 105.666658166239*b85 =L= 106.666658166239;

e148.. sqr(9.92968197439359 - x210) + sqr(6.1106118319625 - x212) + sqr(
       4.29775190508136 - x214) + 161.436709465448*b86 =L= 162.436709465448;

e149.. sqr(4.89615150940308 - x210) + sqr(9.57707230097383 - x212) + sqr(
       9.8722129175456 - x214) + 224.632211642245*b87 =L= 225.632211642245;

e150.. sqr(5.20264655365834 - x210) + sqr(8.59934712303968 - x212) + sqr(
       4.8989755362197 - x214) + 130.523019355742*b88 =L= 131.523019355742;

e151.. sqr(8.39650557858195 - x210) + sqr(6.50351197563982 - x212) + sqr(
       8.43657893923448 - x214) + 194.220103883022*b89 =L= 195.220103883022;

e152.. sqr(7.9208870726961 - x210) + sqr(1.65574071738905 - x212) + sqr(
       8.95324220467027 - x214) + 167.608109542354*b90 =L= 168.608109542354;

e153.. sqr(2.94356057833666 - x210) + sqr(9.50387320454974 - x212) + sqr(
       4.84216900165818 - x214) + 155.944984455397*b91 =L= 156.944984455397;

e154.. sqr(5.67716909075113 - x210) + sqr(7.95494912869701 - x212) + sqr(
       1.8188252408716 - x214) + 143.8265902598*b92 =L= 144.8265902598;

e155.. sqr(3.47632791977689 - x210) + sqr(9.89858036195079 - x212) + sqr(
       2.48936743461692 - x214) + 187.205465302945*b93 =L= 188.205465302945;

e156.. sqr(7.19323345684947 - x210) + sqr(7.58674836824772 - x212) + sqr(
       4.37799217085148 - x214) + 133.784100223376*b94 =L= 134.784100223376;

e157.. sqr(3.68794135627274 - x210) + sqr(0.764460460651244 - x212) + sqr(
       8.93159332921224 - x214) + 161.150526627374*b95 =L= 162.150526627374;

e158.. sqr(6.09046032874766 - x210) + sqr(9.81520631625049 - x212) + sqr(
       8.68956765296896 - x214) + 218.65758210219*b96 =L= 219.65758210219;

e159.. sqr(0.159435608071623 - x210) + sqr(7.8621329842116 - x212) + sqr(
       4.34112712391974 - x214) + 176.061078593341*b97 =L= 177.061078593341;

e160.. sqr(9.30382494051085 - x210) + sqr(4.35265929316925 - x212) + sqr(
       9.41314719714275 - x214) + 207.228588657402*b98 =L= 208.228588657402;

e161.. sqr(7.06044667279098 - x210) + sqr(0.119983022609481 - x212) + sqr(
       5.21799013159819 - x214) + 187.373869370395*b99 =L= 188.373869370395;

e162.. sqr(1.28474203481519 - x210) + sqr(4.30839167378493 - x212) + sqr(
       5.07455099451718 - x214) + 117.707087109112*b100 =L= 118.707087109112;

e163.. sqr(3.95046309105854 - x210) + sqr(7.84827364227855 - x212) + sqr(
       3.43912750809001 - x214) + 131.403806640396*b101 =L= 132.403806640396;

e164.. sqr(8.86004297095793 - x210) + sqr(2.42401020162253 - x212) + sqr(
       6.97541890071488 - x214) + 158.947259740156*b102 =L= 159.947259740156;

e165.. sqr(9.70133006466227 - x210) + sqr(2.47779846426131 - x212) + sqr(
       9.94553704882512 - x214) + 214.875303499993*b103 =L= 215.875303499993;

e166.. sqr(1.26080108706515 - x210) + sqr(1.75121375015014 - x212) + sqr(
       9.30622186756532 - x214) + 184.764129697819*b104 =L= 185.764129697819;

e167.. sqr(8.34389861976271 - x210) + sqr(0.398421020867703 - x212) + sqr(
       9.40468332550345 - x214) + 200.398945392818*b105 =L= 201.398945392818;

e168.. sqr(0.458699783921438 - x210) + sqr(9.95271170285553 - x212) + sqr(
       9.87184681196407 - x214) + 219.689414889155*b106 =L= 220.689414889155;

e169.. sqr(1.6117537168338 - x210) + sqr(6.32876332917705 - x212) + sqr(
       0.253813032788369 - x214) + 200.5977121042*b107 =L= 201.5977121042;

e170.. sqr(3.46648532406983 - x210) + sqr(4.00972468964353 - x212) + sqr(
       3.47940856689719 - x214) + 103.693060602793*b108 =L= 104.693060602793;

e171.. sqr(9.24571897700111 - x210) + sqr(0.559109940924647 - x212) + sqr(
       4.72143745016658 - x214) + 219.689414889155*b109 =L= 220.689414889155;

e172.. sqr(1.80747416465249 - x210) + sqr(5.58858387120364 - x212) + sqr(
       8.71378289454331 - x214) + 123.893230383562*b110 =L= 124.893230383562;

e173.. sqr(1.41393713125356 - x210) + sqr(7.94458518662143 - x212) + sqr(
       1.0952329046171 - x214) + 203.494862154236*b111 =L= 204.494862154236;

e174.. sqr(7.85751206293337 - x210) + sqr(2.34992401729597 - x212) + sqr(
       5.94661276765362 - x214) + 150.575463512564*b112 =L= 151.575463512564;

e175.. sqr(5.76996561939867 - x210) + sqr(3.13220421841133 - x212) + sqr(
       7.32413956683818 - x214) + 106.602252199094*b113 =L= 107.602252199094;

e176.. sqr(5.03675100106706 - x210) + sqr(3.8492948064408 - x212) + sqr(
       8.26500796855089 - x214) + 119.242421179142*b114 =L= 120.242421179142;

e177.. sqr(9.18783741616912 - x210) + sqr(2.86959611527789 - x212) + sqr(
       9.55868938722983 - x214) + 198.559992859524*b115 =L= 199.559992859524;

e178.. sqr(9.72963694557713 - x210) + sqr(4.95412136849809 - x212) + sqr(
       7.88965319296968 - x214) + 192.395482422753*b116 =L= 193.395482422753;

e179.. sqr(4.44990459463169 - x210) + sqr(7.37342841442893 - x212) + sqr(
       5.84940769948895 - x214) + 114.723635769507*b117 =L= 115.723635769507;

e180.. sqr(0.453871807006551 - x210) + sqr(0.651328833092699 - x212) + sqr(
       0.013848532114219 - x214) + 224.632211642245*b118 =L= 225.632211642245;

e181.. sqr(7.68086203645083 - x210) + sqr(1.90461809371178 - x212) + sqr(
       2.73211644708798 - x214) + 193.822989231709*b119 =L= 194.822989231709;

e182.. sqr(9.01196046905024 - x210) + sqr(8.86318587386137 - x212) + sqr(
       2.31734160055559 - x214) + 184.764129697819*b120 =L= 185.764129697819;

e183..    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;

e184.. sqr(0.557503724665912 - x216) + sqr(6.89699967309171 - x218) + sqr(
       6.29939235997553 - x220) + 139.882673685049*b121 =L= 140.882673685049;

e185.. sqr(3.39267738551004 - x216) + sqr(1.30003653355443 - x218) + sqr(
       1.26479284348393 - x220) + 182.66284317326*b122 =L= 183.66284317326;

e186.. sqr(2.47527631721708 - x216) + sqr(3.36800564923427 - x218) + sqr(
       0.112146679619735 - x220) + 174.174595766023*b123 =L= 175.174595766023;

e187.. sqr(4.23965937962997 - x216) + sqr(5.8354548549987 - x218) + sqr(
       5.21703959205437 - x220) + 84.8069562114188*b124 =L= 85.8069562114188;

e188.. sqr(1.90787026471349 - x216) + sqr(5.05450580331505 - x218) + sqr(
       7.01165798298937 - x220) + 105.666658166239*b125 =L= 106.666658166239;

e189.. sqr(9.92968197439359 - x216) + sqr(6.1106118319625 - x218) + sqr(
       4.29775190508136 - x220) + 161.436709465448*b126 =L= 162.436709465448;

e190.. sqr(4.89615150940308 - x216) + sqr(9.57707230097383 - x218) + sqr(
       9.8722129175456 - x220) + 224.632211642245*b127 =L= 225.632211642245;

e191.. sqr(5.20264655365834 - x216) + sqr(8.59934712303968 - x218) + sqr(
       4.8989755362197 - x220) + 130.523019355742*b128 =L= 131.523019355742;

e192.. sqr(8.39650557858195 - x216) + sqr(6.50351197563982 - x218) + sqr(
       8.43657893923448 - x220) + 194.220103883022*b129 =L= 195.220103883022;

e193.. sqr(7.9208870726961 - x216) + sqr(1.65574071738905 - x218) + sqr(
       8.95324220467027 - x220) + 167.608109542354*b130 =L= 168.608109542354;

e194.. sqr(2.94356057833666 - x216) + sqr(9.50387320454974 - x218) + sqr(
       4.84216900165818 - x220) + 155.944984455397*b131 =L= 156.944984455397;

e195.. sqr(5.67716909075113 - x216) + sqr(7.95494912869701 - x218) + sqr(
       1.8188252408716 - x220) + 143.8265902598*b132 =L= 144.8265902598;

e196.. sqr(3.47632791977689 - x216) + sqr(9.89858036195079 - x218) + sqr(
       2.48936743461692 - x220) + 187.205465302945*b133 =L= 188.205465302945;

e197.. sqr(7.19323345684947 - x216) + sqr(7.58674836824772 - x218) + sqr(
       4.37799217085148 - x220) + 133.784100223376*b134 =L= 134.784100223376;

e198.. sqr(3.68794135627274 - x216) + sqr(0.764460460651244 - x218) + sqr(
       8.93159332921224 - x220) + 161.150526627374*b135 =L= 162.150526627374;

e199.. sqr(6.09046032874766 - x216) + sqr(9.81520631625049 - x218) + sqr(
       8.68956765296896 - x220) + 218.65758210219*b136 =L= 219.65758210219;

e200.. sqr(0.159435608071623 - x216) + sqr(7.8621329842116 - x218) + sqr(
       4.34112712391974 - x220) + 176.061078593341*b137 =L= 177.061078593341;

e201.. sqr(9.30382494051085 - x216) + sqr(4.35265929316925 - x218) + sqr(
       9.41314719714275 - x220) + 207.228588657402*b138 =L= 208.228588657402;

e202.. sqr(7.06044667279098 - x216) + sqr(0.119983022609481 - x218) + sqr(
       5.21799013159819 - x220) + 187.373869370395*b139 =L= 188.373869370395;

e203.. sqr(1.28474203481519 - x216) + sqr(4.30839167378493 - x218) + sqr(
       5.07455099451718 - x220) + 117.707087109112*b140 =L= 118.707087109112;

e204.. sqr(3.95046309105854 - x216) + sqr(7.84827364227855 - x218) + sqr(
       3.43912750809001 - x220) + 131.403806640396*b141 =L= 132.403806640396;

e205.. sqr(8.86004297095793 - x216) + sqr(2.42401020162253 - x218) + sqr(
       6.97541890071488 - x220) + 158.947259740156*b142 =L= 159.947259740156;

e206.. sqr(9.70133006466227 - x216) + sqr(2.47779846426131 - x218) + sqr(
       9.94553704882512 - x220) + 214.875303499993*b143 =L= 215.875303499993;

e207.. sqr(1.26080108706515 - x216) + sqr(1.75121375015014 - x218) + sqr(
       9.30622186756532 - x220) + 184.764129697819*b144 =L= 185.764129697819;

e208.. sqr(8.34389861976271 - x216) + sqr(0.398421020867703 - x218) + sqr(
       9.40468332550345 - x220) + 200.398945392818*b145 =L= 201.398945392818;

e209.. sqr(0.458699783921438 - x216) + sqr(9.95271170285553 - x218) + sqr(
       9.87184681196407 - x220) + 219.689414889155*b146 =L= 220.689414889155;

e210.. sqr(1.6117537168338 - x216) + sqr(6.32876332917705 - x218) + sqr(
       0.253813032788369 - x220) + 200.5977121042*b147 =L= 201.5977121042;

e211.. sqr(3.46648532406983 - x216) + sqr(4.00972468964353 - x218) + sqr(
       3.47940856689719 - x220) + 103.693060602793*b148 =L= 104.693060602793;

e212.. sqr(9.24571897700111 - x216) + sqr(0.559109940924647 - x218) + sqr(
       4.72143745016658 - x220) + 219.689414889155*b149 =L= 220.689414889155;

e213.. sqr(1.80747416465249 - x216) + sqr(5.58858387120364 - x218) + sqr(
       8.71378289454331 - x220) + 123.893230383562*b150 =L= 124.893230383562;

e214.. sqr(1.41393713125356 - x216) + sqr(7.94458518662143 - x218) + sqr(
       1.0952329046171 - x220) + 203.494862154236*b151 =L= 204.494862154236;

e215.. sqr(7.85751206293337 - x216) + sqr(2.34992401729597 - x218) + sqr(
       5.94661276765362 - x220) + 150.575463512564*b152 =L= 151.575463512564;

e216.. sqr(5.76996561939867 - x216) + sqr(3.13220421841133 - x218) + sqr(
       7.32413956683818 - x220) + 106.602252199094*b153 =L= 107.602252199094;

e217.. sqr(5.03675100106706 - x216) + sqr(3.8492948064408 - x218) + sqr(
       8.26500796855089 - x220) + 119.242421179142*b154 =L= 120.242421179142;

e218.. sqr(9.18783741616912 - x216) + sqr(2.86959611527789 - x218) + sqr(
       9.55868938722983 - x220) + 198.559992859524*b155 =L= 199.559992859524;

e219.. sqr(9.72963694557713 - x216) + sqr(4.95412136849809 - x218) + sqr(
       7.88965319296968 - x220) + 192.395482422753*b156 =L= 193.395482422753;

e220.. sqr(4.44990459463169 - x216) + sqr(7.37342841442893 - x218) + sqr(
       5.84940769948895 - x220) + 114.723635769507*b157 =L= 115.723635769507;

e221.. sqr(0.453871807006551 - x216) + sqr(0.651328833092699 - x218) + sqr(
       0.013848532114219 - x220) + 224.632211642245*b158 =L= 225.632211642245;

e222.. sqr(7.68086203645083 - x216) + sqr(1.90461809371178 - x218) + sqr(
       2.73211644708798 - x220) + 193.822989231709*b159 =L= 194.822989231709;

e223.. sqr(9.01196046905024 - x216) + sqr(8.86318587386137 - x218) + sqr(
       2.31734160055559 - x220) + 184.764129697819*b160 =L= 185.764129697819;

e224..    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;

e225.. sqr(0.557503724665912 - x222) + sqr(6.89699967309171 - x224) + sqr(
       6.29939235997553 - x226) + 139.882673685049*b161 =L= 140.882673685049;

e226.. sqr(3.39267738551004 - x222) + sqr(1.30003653355443 - x224) + sqr(
       1.26479284348393 - x226) + 182.66284317326*b162 =L= 183.66284317326;

e227.. sqr(2.47527631721708 - x222) + sqr(3.36800564923427 - x224) + sqr(
       0.112146679619735 - x226) + 174.174595766023*b163 =L= 175.174595766023;

e228.. sqr(4.23965937962997 - x222) + sqr(5.8354548549987 - x224) + sqr(
       5.21703959205437 - x226) + 84.8069562114188*b164 =L= 85.8069562114188;

e229.. sqr(1.90787026471349 - x222) + sqr(5.05450580331505 - x224) + sqr(
       7.01165798298937 - x226) + 105.666658166239*b165 =L= 106.666658166239;

e230.. sqr(9.92968197439359 - x222) + sqr(6.1106118319625 - x224) + sqr(
       4.29775190508136 - x226) + 161.436709465448*b166 =L= 162.436709465448;

e231.. sqr(4.89615150940308 - x222) + sqr(9.57707230097383 - x224) + sqr(
       9.8722129175456 - x226) + 224.632211642245*b167 =L= 225.632211642245;

e232.. sqr(5.20264655365834 - x222) + sqr(8.59934712303968 - x224) + sqr(
       4.8989755362197 - x226) + 130.523019355742*b168 =L= 131.523019355742;

e233.. sqr(8.39650557858195 - x222) + sqr(6.50351197563982 - x224) + sqr(
       8.43657893923448 - x226) + 194.220103883022*b169 =L= 195.220103883022;

e234.. sqr(7.9208870726961 - x222) + sqr(1.65574071738905 - x224) + sqr(
       8.95324220467027 - x226) + 167.608109542354*b170 =L= 168.608109542354;

e235.. sqr(2.94356057833666 - x222) + sqr(9.50387320454974 - x224) + sqr(
       4.84216900165818 - x226) + 155.944984455397*b171 =L= 156.944984455397;

e236.. sqr(5.67716909075113 - x222) + sqr(7.95494912869701 - x224) + sqr(
       1.8188252408716 - x226) + 143.8265902598*b172 =L= 144.8265902598;

e237.. sqr(3.47632791977689 - x222) + sqr(9.89858036195079 - x224) + sqr(
       2.48936743461692 - x226) + 187.205465302945*b173 =L= 188.205465302945;

e238.. sqr(7.19323345684947 - x222) + sqr(7.58674836824772 - x224) + sqr(
       4.37799217085148 - x226) + 133.784100223376*b174 =L= 134.784100223376;

e239.. sqr(3.68794135627274 - x222) + sqr(0.764460460651244 - x224) + sqr(
       8.93159332921224 - x226) + 161.150526627374*b175 =L= 162.150526627374;

e240.. sqr(6.09046032874766 - x222) + sqr(9.81520631625049 - x224) + sqr(
       8.68956765296896 - x226) + 218.65758210219*b176 =L= 219.65758210219;

e241.. sqr(0.159435608071623 - x222) + sqr(7.8621329842116 - x224) + sqr(
       4.34112712391974 - x226) + 176.061078593341*b177 =L= 177.061078593341;

e242.. sqr(9.30382494051085 - x222) + sqr(4.35265929316925 - x224) + sqr(
       9.41314719714275 - x226) + 207.228588657402*b178 =L= 208.228588657402;

e243.. sqr(7.06044667279098 - x222) + sqr(0.119983022609481 - x224) + sqr(
       5.21799013159819 - x226) + 187.373869370395*b179 =L= 188.373869370395;

e244.. sqr(1.28474203481519 - x222) + sqr(4.30839167378493 - x224) + sqr(
       5.07455099451718 - x226) + 117.707087109112*b180 =L= 118.707087109112;

e245.. sqr(3.95046309105854 - x222) + sqr(7.84827364227855 - x224) + sqr(
       3.43912750809001 - x226) + 131.403806640396*b181 =L= 132.403806640396;

e246.. sqr(8.86004297095793 - x222) + sqr(2.42401020162253 - x224) + sqr(
       6.97541890071488 - x226) + 158.947259740156*b182 =L= 159.947259740156;

e247.. sqr(9.70133006466227 - x222) + sqr(2.47779846426131 - x224) + sqr(
       9.94553704882512 - x226) + 214.875303499993*b183 =L= 215.875303499993;

e248.. sqr(1.26080108706515 - x222) + sqr(1.75121375015014 - x224) + sqr(
       9.30622186756532 - x226) + 184.764129697819*b184 =L= 185.764129697819;

e249.. sqr(8.34389861976271 - x222) + sqr(0.398421020867703 - x224) + sqr(
       9.40468332550345 - x226) + 200.398945392818*b185 =L= 201.398945392818;

e250.. sqr(0.458699783921438 - x222) + sqr(9.95271170285553 - x224) + sqr(
       9.87184681196407 - x226) + 219.689414889155*b186 =L= 220.689414889155;

e251.. sqr(1.6117537168338 - x222) + sqr(6.32876332917705 - x224) + sqr(
       0.253813032788369 - x226) + 200.5977121042*b187 =L= 201.5977121042;

e252.. sqr(3.46648532406983 - x222) + sqr(4.00972468964353 - x224) + sqr(
       3.47940856689719 - x226) + 103.693060602793*b188 =L= 104.693060602793;

e253.. sqr(9.24571897700111 - x222) + sqr(0.559109940924647 - x224) + sqr(
       4.72143745016658 - x226) + 219.689414889155*b189 =L= 220.689414889155;

e254.. sqr(1.80747416465249 - x222) + sqr(5.58858387120364 - x224) + sqr(
       8.71378289454331 - x226) + 123.893230383562*b190 =L= 124.893230383562;

e255.. sqr(1.41393713125356 - x222) + sqr(7.94458518662143 - x224) + sqr(
       1.0952329046171 - x226) + 203.494862154236*b191 =L= 204.494862154236;

e256.. sqr(7.85751206293337 - x222) + sqr(2.34992401729597 - x224) + sqr(
       5.94661276765362 - x226) + 150.575463512564*b192 =L= 151.575463512564;

e257.. sqr(5.76996561939867 - x222) + sqr(3.13220421841133 - x224) + sqr(
       7.32413956683818 - x226) + 106.602252199094*b193 =L= 107.602252199094;

e258.. sqr(5.03675100106706 - x222) + sqr(3.8492948064408 - x224) + sqr(
       8.26500796855089 - x226) + 119.242421179142*b194 =L= 120.242421179142;

e259.. sqr(9.18783741616912 - x222) + sqr(2.86959611527789 - x224) + sqr(
       9.55868938722983 - x226) + 198.559992859524*b195 =L= 199.559992859524;

e260.. sqr(9.72963694557713 - x222) + sqr(4.95412136849809 - x224) + sqr(
       7.88965319296968 - x226) + 192.395482422753*b196 =L= 193.395482422753;

e261.. sqr(4.44990459463169 - x222) + sqr(7.37342841442893 - x224) + sqr(
       5.84940769948895 - x226) + 114.723635769507*b197 =L= 115.723635769507;

e262.. sqr(0.453871807006551 - x222) + sqr(0.651328833092699 - x224) + sqr(
       0.013848532114219 - x226) + 224.632211642245*b198 =L= 225.632211642245;

e263.. sqr(7.68086203645083 - x222) + sqr(1.90461809371178 - x224) + sqr(
       2.73211644708798 - x226) + 193.822989231709*b199 =L= 194.822989231709;

e264.. sqr(9.01196046905024 - x222) + sqr(8.86318587386137 - x224) + sqr(
       2.31734160055559 - x226) + 184.764129697819*b200 =L= 185.764129697819;

e265..    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;

e266..    b1 + b41 + b81 + b121 + b161 =L= 1;

e267..    b2 + b42 + b82 + b122 + b162 =L= 1;

e268..    b3 + b43 + b83 + b123 + b163 =L= 1;

e269..    b4 + b44 + b84 + b124 + b164 =L= 1;

e270..    b5 + b45 + b85 + b125 + b165 =L= 1;

e271..    b6 + b46 + b86 + b126 + b166 =L= 1;

e272..    b7 + b47 + b87 + b127 + b167 =L= 1;

e273..    b8 + b48 + b88 + b128 + b168 =L= 1;

e274..    b9 + b49 + b89 + b129 + b169 =L= 1;

e275..    b10 + b50 + b90 + b130 + b170 =L= 1;

e276..    b11 + b51 + b91 + b131 + b171 =L= 1;

e277..    b12 + b52 + b92 + b132 + b172 =L= 1;

e278..    b13 + b53 + b93 + b133 + b173 =L= 1;

e279..    b14 + b54 + b94 + b134 + b174 =L= 1;

e280..    b15 + b55 + b95 + b135 + b175 =L= 1;

e281..    b16 + b56 + b96 + b136 + b176 =L= 1;

e282..    b17 + b57 + b97 + b137 + b177 =L= 1;

e283..    b18 + b58 + b98 + b138 + b178 =L= 1;

e284..    b19 + b59 + b99 + b139 + b179 =L= 1;

e285..    b20 + b60 + b100 + b140 + b180 =L= 1;

e286..    b21 + b61 + b101 + b141 + b181 =L= 1;

e287..    b22 + b62 + b102 + b142 + b182 =L= 1;

e288..    b23 + b63 + b103 + b143 + b183 =L= 1;

e289..    b24 + b64 + b104 + b144 + b184 =L= 1;

e290..    b25 + b65 + b105 + b145 + b185 =L= 1;

e291..    b26 + b66 + b106 + b146 + b186 =L= 1;

e292..    b27 + b67 + b107 + b147 + b187 =L= 1;

e293..    b28 + b68 + b108 + b148 + b188 =L= 1;

e294..    b29 + b69 + b109 + b149 + b189 =L= 1;

e295..    b30 + b70 + b110 + b150 + b190 =L= 1;

e296..    b31 + b71 + b111 + b151 + b191 =L= 1;

e297..    b32 + b72 + b112 + b152 + b192 =L= 1;

e298..    b33 + b73 + b113 + b153 + b193 =L= 1;

e299..    b34 + b74 + b114 + b154 + b194 =L= 1;

e300..    b35 + b75 + b115 + b155 + b195 =L= 1;

e301..    b36 + b76 + b116 + b156 + b196 =L= 1;

e302..    b37 + b77 + b117 + b157 + b197 =L= 1;

e303..    b38 + b78 + b118 + b158 + b198 =L= 1;

e304..    b39 + b79 + b119 + b159 + b199 =L= 1;

e305..    b40 + b80 + b120 + b160 + b200 =L= 1;

e306..    x201 - x202 =L= 0;

e307..    x202 - x210 =L= 0;

e308..    x210 - x216 =L= 0;

e309..    x216 - x222 =L= 0;

e310..  - x203 - x206 - x209 - x211 - x213 - x215 - x217 - x219 - x221 - x223
        - x225 - x227 - x228 - x229 - x230 - x231 - x232 - x233 - x234 - x235
        - x236 - x237 - x238 - x239 - x240 - x241 - x242 - x243 - x244 - x245
        + 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;

Model m / all /;

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

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

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


Last updated: 2022-08-11 Git hash: f176bd52
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