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A Library of Mixed-Integer and Continuous Nonlinear Programming Instances
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Instance tricp
Triangular Graph Circle Packing
| Formatsⓘ | ams gms lp mod nl osil pip py |
| Primal Bounds (infeas ≤ 1e-08)ⓘ | |
| Other points (infeas > 1e-08)ⓘ | |
| Dual Boundsⓘ | -0.00000012 (ANTIGONE) 0.00000000 (BARON) 0.00000000 (COUENNE) 0.00000000 (GUROBI) 0.00000000 (LINDO) 0.00000000 (SCIP) |
| Referencesⓘ | Fuenfzig, C, Michelucci, D, and Foufou, S, Nonlinear systems solver in floating-point arithmetic using LP reduction. In Bronsvoort, W., Ed, 2009 SIAM/ACM Joint Conference on Geometric and Physical Modeling, ACM, 2009. |
| Sourceⓘ | GAMS Model Library model tricp |
| Applicationⓘ | Geometry |
| Added to libraryⓘ | 18 Aug 2014 |
| Problem typeⓘ | QCP |
| #Variablesⓘ | 169 |
| #Binary Variablesⓘ | 0 |
| #Integer Variablesⓘ | 0 |
| #Nonlinear Variablesⓘ | 60 |
| #Nonlinear Binary Variablesⓘ | 0 |
| #Nonlinear Integer Variablesⓘ | 0 |
| Objective Senseⓘ | min |
| Objective typeⓘ | linear |
| Objective curvatureⓘ | linear |
| #Nonzeros in Objectiveⓘ | 109 |
| #Nonlinear Nonzeros in Objectiveⓘ | 0 |
| #Constraintsⓘ | 190 |
| #Linear Constraintsⓘ | 0 |
| #Quadratic Constraintsⓘ | 190 |
| #Polynomial Constraintsⓘ | 0 |
| #Signomial Constraintsⓘ | 0 |
| #General Nonlinear Constraintsⓘ | 0 |
| Operands in Gen. Nonlin. Functionsⓘ | |
| Constraints curvatureⓘ | indefinite |
| #Nonzeros in Jacobianⓘ | 1384 |
| #Nonlinear Nonzeros in Jacobianⓘ | 1140 |
| #Nonzeros in (Upper-Left) Hessian of Lagrangianⓘ | 1200 |
| #Nonzeros in Diagonal of Hessian of Lagrangianⓘ | 60 |
| #Blocks in Hessian of Lagrangianⓘ | 3 |
| Minimal blocksize in Hessian of Lagrangianⓘ | 20 |
| Maximal blocksize in Hessian of Lagrangianⓘ | 20 |
| Average blocksize in Hessian of Lagrangianⓘ | 20.0 |
| #Semicontinuitiesⓘ | 0 |
| #Nonlinear Semicontinuitiesⓘ | 0 |
| #SOS type 1ⓘ | 0 |
| #SOS type 2ⓘ | 0 |
| Minimal coefficientⓘ | 1.0000e+00 |
| Maximal coefficientⓘ | 1.0000e+02 |
| Infeasibility of initial pointⓘ | 4.415e+06 |
| Sparsity Jacobianⓘ |  |
| Sparsity Hessian of Lagrangianⓘ |  |
$offlisting
*
* Equation counts
* Total E G L N X C B
* 191 55 136 0 0 0 0 0
*
* Variable counts
* x b i s1s s2s sc si
* Total cont binary integer sos1 sos2 scont sint
* 170 170 0 0 0 0 0 0
* FX 6
*
* Nonzero counts
* Total const NL DLL
* 1494 354 1140 0
*
* Solve m using NLP minimizing objvar;
Variables x1,x2,x3,x4,x5,x6,x7,x8,x9,x10,x11,x12,x13,x14,x15,x16,x17,x18,x19
,x20,x21,x22,x23,x24,x25,x26,x27,x28,x29,x30,x31,x32,x33,x34,x35,x36
,x37,x38,x39,x40,x41,x42,x43,x44,x45,x46,x47,x48,x49,x50,x51,x52,x53
,x54,x55,x56,x57,x58,x59,x60,x61,x62,x63,x64,x65,x66,x67,x68,x69,x70
,x71,x72,x73,x74,x75,x76,x77,x78,x79,x80,x81,x82,x83,x84,x85,x86,x87
,x88,x89,x90,x91,x92,x93,x94,x95,x96,x97,x98,x99,x100,x101,x102,x103
,x104,x105,x106,x107,x108,x109,x110,x111,x112,x113,x114,x115,x116
,x117,x118,x119,x120,x121,x122,x123,x124,x125,x126,x127,x128,x129
,x130,x131,x132,x133,x134,x135,x136,x137,x138,x139,x140,x141,x142
,x143,x144,x145,x146,x147,x148,x149,x150,x151,x152,x153,x154,x155
,x156,x157,x158,x159,x160,x161,x162,x163,x164,x165,x166,x167,x168
,x169,objvar;
Positive Variables x3,x4,x5,x6,x7,x8,x9,x10,x11,x12,x13,x14,x15,x16,x17,x18
,x21,x22,x23,x24,x25,x26,x27,x28,x29,x30,x31,x32,x33,x34,x35,x36,x37
,x38,x61,x62,x63,x64,x65,x66,x67,x68,x69,x70,x71,x72,x73,x74,x75,x76
,x77,x78,x79,x80,x81,x82,x83,x84,x85,x86,x87,x88,x89,x90,x91,x92,x93
,x94,x95,x96,x97,x98,x99,x100,x101,x102,x103,x104,x105,x106,x107
,x108,x109,x110,x111,x112,x113,x114,x115,x116,x117,x118,x119,x120
,x121,x122,x123,x124,x125,x126,x127,x128,x129,x130,x131,x132,x133
,x134,x135,x136,x137,x138,x139,x140,x141,x142,x143,x144,x145,x146
,x147,x148,x149,x150,x151,x152,x153,x154,x155,x156,x157,x158,x159
,x160,x161,x162,x163,x164,x165,x166,x167,x168,x169;
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;
e1.. - x61 - x62 - x63 - x64 - x65 - x66 - x67 - x68 - x69 - x70 - x71 - x72
- x73 - x74 - x75 - x76 - x77 - x78 - x79 - x80 - x81 - x82 - x83 - x84
- x85 - x86 - x87 - x88 - x89 - x90 - x91 - x92 - x93 - x94 - x95 - x96
- x97 - x98 - x99 - x100 - x101 - x102 - x103 - x104 - x105 - x106 - x107
- x108 - x109 - x110 - x111 - x112 - x113 - x114 - x115 - x116 - x117
- x118 - x119 - x120 - x121 - x122 - x123 - x124 - x125 - x126 - x127
- x128 - x129 - x130 - x131 - x132 - x133 - x134 - x135 - x136 - x137
- x138 - x139 - x140 - x141 - x142 - x143 - x144 - x145 - x146 - x147
- x148 - x149 - x150 - x151 - x152 - x153 - x154 - x155 - x156 - x157
- x158 - x159 - x160 - x161 - x162 - x163 - x164 - x165 - x166 - x167
- x168 - 100*x169 + objvar =E= 0;
e2.. sqr(x1 - x3) + sqr(x2 - x4) - sqr(x41 + x42) - x61 + x115 =E= 0;
e3.. sqr(x1 - x5) + sqr(x2 - x6) - sqr(x41 + x43) - x62 + x116 =E= 0;
e4.. sqr(x1 - x7) + sqr(x2 - x8) - sqr(x41 + x44) - x63 + x117 =E= 0;
e5.. sqr(x1 - x11) + sqr(x2 - x12) - sqr(x41 + x46) - x64 + x118 =E= 0;
e6.. sqr(x1 - x13) + sqr(x2 - x14) - sqr(x41 + x47) - x65 + x119 =E= 0;
e7.. sqr(x1 - x15) + sqr(x2 - x16) - sqr(x41 + x48) - x66 + x120 =E= 0;
e8.. sqr(x1 - x19) + sqr(x2 - x20) - sqr(x41 + x50) - x67 + x121 =E= 0;
e9.. sqr(x1 - x23) + sqr(x2 - x24) - sqr(x41 + x52) - x68 + x122 =E= 0;
e10.. sqr(x1 - x39) + sqr(x2 - x40) - sqr(x41 + x60) - x69 + x123 =E= 0;
e11.. sqr(x3 - x5) + sqr(x4 - x6) - sqr(x42 + x43) - x70 + x124 =E= 0;
e12.. sqr(x3 - x7) + sqr(x4 - x8) - sqr(x42 + x44) - x71 + x125 =E= 0;
e13.. sqr(x5 - x7) + sqr(x6 - x8) - sqr(x43 + x44) - x72 + x126 =E= 0;
e14.. sqr(x5 - x9) + sqr(x6 - x10) - sqr(x43 + x45) - x73 + x127 =E= 0;
e15.. sqr(x5 - x15) + sqr(x6 - x16) - sqr(x43 + x48) - x74 + x128 =E= 0;
e16.. sqr(x7 - x9) + sqr(x8 - x10) - sqr(x44 + x45) - x75 + x129 =E= 0;
e17.. sqr(x7 - x11) + sqr(x8 - x12) - sqr(x44 + x46) - x76 + x130 =E= 0;
e18.. sqr(x9 - x11) + sqr(x10 - x12) - sqr(x45 + x46) - x77 + x131 =E= 0;
e19.. sqr(x9 - x13) + sqr(x10 - x14) - sqr(x45 + x47) - x78 + x132 =E= 0;
e20.. sqr(x9 - x15) + sqr(x10 - x16) - sqr(x45 + x48) - x79 + x133 =E= 0;
e21.. sqr(x11 - x13) + sqr(x12 - x14) - sqr(x46 + x47) - x80 + x134 =E= 0;
e22.. sqr(x13 - x15) + sqr(x14 - x16) - sqr(x47 + x48) - x81 + x135 =E= 0;
e23.. sqr(x13 - x17) + sqr(x14 - x18) - sqr(x47 + x49) - x82 + x136 =E= 0;
e24.. sqr(x13 - x21) + sqr(x14 - x22) - sqr(x47 + x51) - x83 + x137 =E= 0;
e25.. sqr(x13 - x23) + sqr(x14 - x24) - sqr(x47 + x52) - x84 + x138 =E= 0;
e26.. sqr(x15 - x17) + sqr(x16 - x18) - sqr(x48 + x49) - x85 + x139 =E= 0;
e27.. sqr(x15 - x19) + sqr(x16 - x20) - sqr(x48 + x50) - x86 + x140 =E= 0;
e28.. sqr(x17 - x19) + sqr(x18 - x20) - sqr(x49 + x50) - x87 + x141 =E= 0;
e29.. sqr(x17 - x21) + sqr(x18 - x22) - sqr(x49 + x51) - x88 + x142 =E= 0;
e30.. sqr(x19 - x21) + sqr(x20 - x22) - sqr(x50 + x51) - x89 + x143 =E= 0;
e31.. sqr(x19 - x23) + sqr(x20 - x24) - sqr(x50 + x52) - x90 + x144 =E= 0;
e32.. sqr(x19 - x25) + sqr(x20 - x26) - sqr(x50 + x53) - x91 + x145 =E= 0;
e33.. sqr(x19 - x27) + sqr(x20 - x28) - sqr(x50 + x54) - x92 + x146 =E= 0;
e34.. sqr(x19 - x29) + sqr(x20 - x30) - sqr(x50 + x55) - x93 + x147 =E= 0;
e35.. sqr(x19 - x31) + sqr(x20 - x32) - sqr(x50 + x56) - x94 + x148 =E= 0;
e36.. sqr(x19 - x37) + sqr(x20 - x38) - sqr(x50 + x59) - x95 + x149 =E= 0;
e37.. sqr(x19 - x39) + sqr(x20 - x40) - sqr(x50 + x60) - x96 + x150 =E= 0;
e38.. sqr(x21 - x23) + sqr(x22 - x24) - sqr(x51 + x52) - x97 + x151 =E= 0;
e39.. sqr(x23 - x25) + sqr(x24 - x26) - sqr(x52 + x53) - x98 + x152 =E= 0;
e40.. sqr(x23 - x27) + sqr(x24 - x28) - sqr(x52 + x54) - x99 + x153 =E= 0;
e41.. sqr(x23 - x29) + sqr(x24 - x30) - sqr(x52 + x55) - x100 + x154 =E= 0;
e42.. sqr(x23 - x33) + sqr(x24 - x34) - sqr(x52 + x57) - x101 + x155 =E= 0;
e43.. sqr(x23 - x35) + sqr(x24 - x36) - sqr(x52 + x58) - x102 + x156 =E= 0;
e44.. sqr(x23 - x39) + sqr(x24 - x40) - sqr(x52 + x60) - x103 + x157 =E= 0;
e45.. sqr(x25 - x27) + sqr(x26 - x28) - sqr(x53 + x54) - x104 + x158 =E= 0;
e46.. sqr(x27 - x29) + sqr(x28 - x30) - sqr(x54 + x55) - x105 + x159 =E= 0;
e47.. sqr(x29 - x31) + sqr(x30 - x32) - sqr(x55 + x56) - x106 + x160 =E= 0;
e48.. sqr(x29 - x33) + sqr(x30 - x34) - sqr(x55 + x57) - x107 + x161 =E= 0;
e49.. sqr(x31 - x33) + sqr(x32 - x34) - sqr(x56 + x57) - x108 + x162 =E= 0;
e50.. sqr(x31 - x35) + sqr(x32 - x36) - sqr(x56 + x58) - x109 + x163 =E= 0;
e51.. sqr(x31 - x37) + sqr(x32 - x38) - sqr(x56 + x59) - x110 + x164 =E= 0;
e52.. sqr(x33 - x35) + sqr(x34 - x36) - sqr(x57 + x58) - x111 + x165 =E= 0;
e53.. sqr(x35 - x37) + sqr(x36 - x38) - sqr(x58 + x59) - x112 + x166 =E= 0;
e54.. sqr(x35 - x39) + sqr(x36 - x40) - sqr(x58 + x60) - x113 + x167 =E= 0;
e55.. sqr(x37 - x39) + sqr(x38 - x40) - sqr(x59 + x60) - x114 + x168 =E= 0;
e56.. sqr(x1 - x9) + sqr(x2 - x10) - sqr(x41 + x45) + x169 =G= 0;
e57.. sqr(x1 - x17) + sqr(x2 - x18) - sqr(x41 + x49) + x169 =G= 0;
e58.. sqr(x1 - x21) + sqr(x2 - x22) - sqr(x41 + x51) + x169 =G= 0;
e59.. sqr(x1 - x25) + sqr(x2 - x26) - sqr(x41 + x53) + x169 =G= 0;
e60.. sqr(x1 - x27) + sqr(x2 - x28) - sqr(x41 + x54) + x169 =G= 0;
e61.. sqr(x1 - x29) + sqr(x2 - x30) - sqr(x41 + x55) + x169 =G= 0;
e62.. sqr(x1 - x31) + sqr(x2 - x32) - sqr(x41 + x56) + x169 =G= 0;
e63.. sqr(x1 - x33) + sqr(x2 - x34) - sqr(x41 + x57) + x169 =G= 0;
e64.. sqr(x1 - x35) + sqr(x2 - x36) - sqr(x41 + x58) + x169 =G= 0;
e65.. sqr(x1 - x37) + sqr(x2 - x38) - sqr(x41 + x59) + x169 =G= 0;
e66.. sqr(x3 - x9) + sqr(x4 - x10) - sqr(x42 + x45) + x169 =G= 0;
e67.. sqr(x3 - x11) + sqr(x4 - x12) - sqr(x42 + x46) + x169 =G= 0;
e68.. sqr(x3 - x13) + sqr(x4 - x14) - sqr(x42 + x47) + x169 =G= 0;
e69.. sqr(x3 - x15) + sqr(x4 - x16) - sqr(x42 + x48) + x169 =G= 0;
e70.. sqr(x3 - x17) + sqr(x4 - x18) - sqr(x42 + x49) + x169 =G= 0;
e71.. sqr(x3 - x19) + sqr(x4 - x20) - sqr(x42 + x50) + x169 =G= 0;
e72.. sqr(x3 - x21) + sqr(x4 - x22) - sqr(x42 + x51) + x169 =G= 0;
e73.. sqr(x3 - x23) + sqr(x4 - x24) - sqr(x42 + x52) + x169 =G= 0;
e74.. sqr(x3 - x25) + sqr(x4 - x26) - sqr(x42 + x53) + x169 =G= 0;
e75.. sqr(x3 - x27) + sqr(x4 - x28) - sqr(x42 + x54) + x169 =G= 0;
e76.. sqr(x3 - x29) + sqr(x4 - x30) - sqr(x42 + x55) + x169 =G= 0;
e77.. sqr(x3 - x31) + sqr(x4 - x32) - sqr(x42 + x56) + x169 =G= 0;
e78.. sqr(x3 - x33) + sqr(x4 - x34) - sqr(x42 + x57) + x169 =G= 0;
e79.. sqr(x3 - x35) + sqr(x4 - x36) - sqr(x42 + x58) + x169 =G= 0;
e80.. sqr(x3 - x37) + sqr(x4 - x38) - sqr(x42 + x59) + x169 =G= 0;
e81.. sqr(x3 - x39) + sqr(x4 - x40) - sqr(x42 + x60) + x169 =G= 0;
e82.. sqr(x5 - x11) + sqr(x6 - x12) - sqr(x43 + x46) + x169 =G= 0;
e83.. sqr(x5 - x13) + sqr(x6 - x14) - sqr(x43 + x47) + x169 =G= 0;
e84.. sqr(x5 - x17) + sqr(x6 - x18) - sqr(x43 + x49) + x169 =G= 0;
e85.. sqr(x5 - x19) + sqr(x6 - x20) - sqr(x43 + x50) + x169 =G= 0;
e86.. sqr(x5 - x21) + sqr(x6 - x22) - sqr(x43 + x51) + x169 =G= 0;
e87.. sqr(x5 - x23) + sqr(x6 - x24) - sqr(x43 + x52) + x169 =G= 0;
e88.. sqr(x5 - x25) + sqr(x6 - x26) - sqr(x43 + x53) + x169 =G= 0;
e89.. sqr(x5 - x27) + sqr(x6 - x28) - sqr(x43 + x54) + x169 =G= 0;
e90.. sqr(x5 - x29) + sqr(x6 - x30) - sqr(x43 + x55) + x169 =G= 0;
e91.. sqr(x5 - x31) + sqr(x6 - x32) - sqr(x43 + x56) + x169 =G= 0;
e92.. sqr(x5 - x33) + sqr(x6 - x34) - sqr(x43 + x57) + x169 =G= 0;
e93.. sqr(x5 - x35) + sqr(x6 - x36) - sqr(x43 + x58) + x169 =G= 0;
e94.. sqr(x5 - x37) + sqr(x6 - x38) - sqr(x43 + x59) + x169 =G= 0;
e95.. sqr(x5 - x39) + sqr(x6 - x40) - sqr(x43 + x60) + x169 =G= 0;
e96.. sqr(x7 - x13) + sqr(x8 - x14) - sqr(x44 + x47) + x169 =G= 0;
e97.. sqr(x7 - x15) + sqr(x8 - x16) - sqr(x44 + x48) + x169 =G= 0;
e98.. sqr(x7 - x17) + sqr(x8 - x18) - sqr(x44 + x49) + x169 =G= 0;
e99.. sqr(x7 - x19) + sqr(x8 - x20) - sqr(x44 + x50) + x169 =G= 0;
e100.. sqr(x7 - x21) + sqr(x8 - x22) - sqr(x44 + x51) + x169 =G= 0;
e101.. sqr(x7 - x23) + sqr(x8 - x24) - sqr(x44 + x52) + x169 =G= 0;
e102.. sqr(x7 - x25) + sqr(x8 - x26) - sqr(x44 + x53) + x169 =G= 0;
e103.. sqr(x7 - x27) + sqr(x8 - x28) - sqr(x44 + x54) + x169 =G= 0;
e104.. sqr(x7 - x29) + sqr(x8 - x30) - sqr(x44 + x55) + x169 =G= 0;
e105.. sqr(x7 - x31) + sqr(x8 - x32) - sqr(x44 + x56) + x169 =G= 0;
e106.. sqr(x7 - x33) + sqr(x8 - x34) - sqr(x44 + x57) + x169 =G= 0;
e107.. sqr(x7 - x35) + sqr(x8 - x36) - sqr(x44 + x58) + x169 =G= 0;
e108.. sqr(x7 - x37) + sqr(x8 - x38) - sqr(x44 + x59) + x169 =G= 0;
e109.. sqr(x7 - x39) + sqr(x8 - x40) - sqr(x44 + x60) + x169 =G= 0;
e110.. sqr(x9 - x17) + sqr(x10 - x18) - sqr(x45 + x49) + x169 =G= 0;
e111.. sqr(x9 - x19) + sqr(x10 - x20) - sqr(x45 + x50) + x169 =G= 0;
e112.. sqr(x9 - x21) + sqr(x10 - x22) - sqr(x45 + x51) + x169 =G= 0;
e113.. sqr(x9 - x23) + sqr(x10 - x24) - sqr(x45 + x52) + x169 =G= 0;
e114.. sqr(x9 - x25) + sqr(x10 - x26) - sqr(x45 + x53) + x169 =G= 0;
e115.. sqr(x9 - x27) + sqr(x10 - x28) - sqr(x45 + x54) + x169 =G= 0;
e116.. sqr(x9 - x29) + sqr(x10 - x30) - sqr(x45 + x55) + x169 =G= 0;
e117.. sqr(x9 - x31) + sqr(x10 - x32) - sqr(x45 + x56) + x169 =G= 0;
e118.. sqr(x9 - x33) + sqr(x10 - x34) - sqr(x45 + x57) + x169 =G= 0;
e119.. sqr(x9 - x35) + sqr(x10 - x36) - sqr(x45 + x58) + x169 =G= 0;
e120.. sqr(x9 - x37) + sqr(x10 - x38) - sqr(x45 + x59) + x169 =G= 0;
e121.. sqr(x9 - x39) + sqr(x10 - x40) - sqr(x45 + x60) + x169 =G= 0;
e122.. sqr(x11 - x15) + sqr(x12 - x16) - sqr(x46 + x48) + x169 =G= 0;
e123.. sqr(x11 - x17) + sqr(x12 - x18) - sqr(x46 + x49) + x169 =G= 0;
e124.. sqr(x11 - x19) + sqr(x12 - x20) - sqr(x46 + x50) + x169 =G= 0;
e125.. sqr(x11 - x21) + sqr(x12 - x22) - sqr(x46 + x51) + x169 =G= 0;
e126.. sqr(x11 - x23) + sqr(x12 - x24) - sqr(x46 + x52) + x169 =G= 0;
e127.. sqr(x11 - x25) + sqr(x12 - x26) - sqr(x46 + x53) + x169 =G= 0;
e128.. sqr(x11 - x27) + sqr(x12 - x28) - sqr(x46 + x54) + x169 =G= 0;
e129.. sqr(x11 - x29) + sqr(x12 - x30) - sqr(x46 + x55) + x169 =G= 0;
e130.. sqr(x11 - x31) + sqr(x12 - x32) - sqr(x46 + x56) + x169 =G= 0;
e131.. sqr(x11 - x33) + sqr(x12 - x34) - sqr(x46 + x57) + x169 =G= 0;
e132.. sqr(x11 - x35) + sqr(x12 - x36) - sqr(x46 + x58) + x169 =G= 0;
e133.. sqr(x11 - x37) + sqr(x12 - x38) - sqr(x46 + x59) + x169 =G= 0;
e134.. sqr(x11 - x39) + sqr(x12 - x40) - sqr(x46 + x60) + x169 =G= 0;
e135.. sqr(x13 - x19) + sqr(x14 - x20) - sqr(x47 + x50) + x169 =G= 0;
e136.. sqr(x13 - x25) + sqr(x14 - x26) - sqr(x47 + x53) + x169 =G= 0;
e137.. sqr(x13 - x27) + sqr(x14 - x28) - sqr(x47 + x54) + x169 =G= 0;
e138.. sqr(x13 - x29) + sqr(x14 - x30) - sqr(x47 + x55) + x169 =G= 0;
e139.. sqr(x13 - x31) + sqr(x14 - x32) - sqr(x47 + x56) + x169 =G= 0;
e140.. sqr(x13 - x33) + sqr(x14 - x34) - sqr(x47 + x57) + x169 =G= 0;
e141.. sqr(x13 - x35) + sqr(x14 - x36) - sqr(x47 + x58) + x169 =G= 0;
e142.. sqr(x13 - x37) + sqr(x14 - x38) - sqr(x47 + x59) + x169 =G= 0;
e143.. sqr(x13 - x39) + sqr(x14 - x40) - sqr(x47 + x60) + x169 =G= 0;
e144.. sqr(x15 - x21) + sqr(x16 - x22) - sqr(x48 + x51) + x169 =G= 0;
e145.. sqr(x15 - x23) + sqr(x16 - x24) - sqr(x48 + x52) + x169 =G= 0;
e146.. sqr(x15 - x25) + sqr(x16 - x26) - sqr(x48 + x53) + x169 =G= 0;
e147.. sqr(x15 - x27) + sqr(x16 - x28) - sqr(x48 + x54) + x169 =G= 0;
e148.. sqr(x15 - x29) + sqr(x16 - x30) - sqr(x48 + x55) + x169 =G= 0;
e149.. sqr(x15 - x31) + sqr(x16 - x32) - sqr(x48 + x56) + x169 =G= 0;
e150.. sqr(x15 - x33) + sqr(x16 - x34) - sqr(x48 + x57) + x169 =G= 0;
e151.. sqr(x15 - x35) + sqr(x16 - x36) - sqr(x48 + x58) + x169 =G= 0;
e152.. sqr(x15 - x37) + sqr(x16 - x38) - sqr(x48 + x59) + x169 =G= 0;
e153.. sqr(x15 - x39) + sqr(x16 - x40) - sqr(x48 + x60) + x169 =G= 0;
e154.. sqr(x17 - x23) + sqr(x18 - x24) - sqr(x49 + x52) + x169 =G= 0;
e155.. sqr(x17 - x25) + sqr(x18 - x26) - sqr(x49 + x53) + x169 =G= 0;
e156.. sqr(x17 - x27) + sqr(x18 - x28) - sqr(x49 + x54) + x169 =G= 0;
e157.. sqr(x17 - x29) + sqr(x18 - x30) - sqr(x49 + x55) + x169 =G= 0;
e158.. sqr(x17 - x31) + sqr(x18 - x32) - sqr(x49 + x56) + x169 =G= 0;
e159.. sqr(x17 - x33) + sqr(x18 - x34) - sqr(x49 + x57) + x169 =G= 0;
e160.. sqr(x17 - x35) + sqr(x18 - x36) - sqr(x49 + x58) + x169 =G= 0;
e161.. sqr(x17 - x37) + sqr(x18 - x38) - sqr(x49 + x59) + x169 =G= 0;
e162.. sqr(x17 - x39) + sqr(x18 - x40) - sqr(x49 + x60) + x169 =G= 0;
e163.. sqr(x19 - x33) + sqr(x20 - x34) - sqr(x50 + x57) + x169 =G= 0;
e164.. sqr(x19 - x35) + sqr(x20 - x36) - sqr(x50 + x58) + x169 =G= 0;
e165.. sqr(x21 - x25) + sqr(x22 - x26) - sqr(x51 + x53) + x169 =G= 0;
e166.. sqr(x21 - x27) + sqr(x22 - x28) - sqr(x51 + x54) + x169 =G= 0;
e167.. sqr(x21 - x29) + sqr(x22 - x30) - sqr(x51 + x55) + x169 =G= 0;
e168.. sqr(x21 - x31) + sqr(x22 - x32) - sqr(x51 + x56) + x169 =G= 0;
e169.. sqr(x21 - x33) + sqr(x22 - x34) - sqr(x51 + x57) + x169 =G= 0;
e170.. sqr(x21 - x35) + sqr(x22 - x36) - sqr(x51 + x58) + x169 =G= 0;
e171.. sqr(x21 - x37) + sqr(x22 - x38) - sqr(x51 + x59) + x169 =G= 0;
e172.. sqr(x21 - x39) + sqr(x22 - x40) - sqr(x51 + x60) + x169 =G= 0;
e173.. sqr(x23 - x31) + sqr(x24 - x32) - sqr(x52 + x56) + x169 =G= 0;
e174.. sqr(x23 - x37) + sqr(x24 - x38) - sqr(x52 + x59) + x169 =G= 0;
e175.. sqr(x25 - x29) + sqr(x26 - x30) - sqr(x53 + x55) + x169 =G= 0;
e176.. sqr(x25 - x31) + sqr(x26 - x32) - sqr(x53 + x56) + x169 =G= 0;
e177.. sqr(x25 - x33) + sqr(x26 - x34) - sqr(x53 + x57) + x169 =G= 0;
e178.. sqr(x25 - x35) + sqr(x26 - x36) - sqr(x53 + x58) + x169 =G= 0;
e179.. sqr(x25 - x37) + sqr(x26 - x38) - sqr(x53 + x59) + x169 =G= 0;
e180.. sqr(x25 - x39) + sqr(x26 - x40) - sqr(x53 + x60) + x169 =G= 0;
e181.. sqr(x27 - x31) + sqr(x28 - x32) - sqr(x54 + x56) + x169 =G= 0;
e182.. sqr(x27 - x33) + sqr(x28 - x34) - sqr(x54 + x57) + x169 =G= 0;
e183.. sqr(x27 - x35) + sqr(x28 - x36) - sqr(x54 + x58) + x169 =G= 0;
e184.. sqr(x27 - x37) + sqr(x28 - x38) - sqr(x54 + x59) + x169 =G= 0;
e185.. sqr(x27 - x39) + sqr(x28 - x40) - sqr(x54 + x60) + x169 =G= 0;
e186.. sqr(x29 - x35) + sqr(x30 - x36) - sqr(x55 + x58) + x169 =G= 0;
e187.. sqr(x29 - x37) + sqr(x30 - x38) - sqr(x55 + x59) + x169 =G= 0;
e188.. sqr(x29 - x39) + sqr(x30 - x40) - sqr(x55 + x60) + x169 =G= 0;
e189.. sqr(x31 - x39) + sqr(x32 - x40) - sqr(x56 + x60) + x169 =G= 0;
e190.. sqr(x33 - x37) + sqr(x34 - x38) - sqr(x57 + x59) + x169 =G= 0;
e191.. sqr(x33 - x39) + sqr(x34 - x40) - sqr(x57 + x60) + x169 =G= 0;
* set non-default bounds
x1.fx = 1000;
x2.fx = 1000;
x3.up = 2000;
x4.up = 2000;
x5.up = 2000;
x6.up = 2000;
x7.up = 2000;
x8.up = 2000;
x9.up = 2000;
x10.up = 2000;
x11.up = 2000;
x12.up = 2000;
x13.up = 2000;
x14.up = 2000;
x15.up = 2000;
x16.up = 2000;
x17.up = 2000;
x18.up = 2000;
x19.fx = 1500;
x20.fx = 2000;
x21.up = 2000;
x22.up = 2000;
x23.up = 2000;
x24.up = 2000;
x25.up = 2000;
x26.up = 2000;
x27.up = 2000;
x28.up = 2000;
x29.up = 2000;
x30.up = 2000;
x31.up = 2000;
x32.up = 2000;
x33.up = 2000;
x34.up = 2000;
x35.up = 2000;
x36.up = 2000;
x37.up = 2000;
x38.up = 2000;
x39.fx = 2000;
x40.fx = 1000;
x41.lo = 0.1;
x42.lo = 0.1;
x43.lo = 0.1;
x44.lo = 0.1;
x45.lo = 0.1;
x46.lo = 0.1;
x47.lo = 0.1;
x48.lo = 0.1;
x49.lo = 0.1;
x50.lo = 0.1;
x51.lo = 0.1;
x52.lo = 0.1;
x53.lo = 0.1;
x54.lo = 0.1;
x55.lo = 0.1;
x56.lo = 0.1;
x57.lo = 0.1;
x58.lo = 0.1;
x59.lo = 0.1;
x60.lo = 0.1;
* set non-default levels
x3.l = 1100.750712;
x4.l = 602.275808;
x5.l = 584.424234;
x6.l = 448.105734;
x7.l = 699.661008;
x8.l = 1712.540694;
x9.l = 134.227446;
x10.l = 1000.421338;
x11.l = 1996.235254;
x12.l = 1157.466756;
x13.l = 1982.266078;
x14.l = 1524.500934;
x15.l = 261.384966;
x16.l = 1279.437518;
x17.l = 319.035728;
x18.l = 500.161066;
x21.l = 719.400532;
x22.l = 702.882736;
x23.l = 262.98318;
x24.l = 300.203576;
x25.l = 1178.2273;
x26.l = 1661.785624;
x27.l = 461.631476;
x28.l = 1331.46892;
x29.l = 1551.715212;
x30.l = 607.316954;
x31.l = 220.984582;
x32.l = 1004.769732;
x33.l = 320.345524;
x34.l = 1744.924622;
x35.l = 530.22909;
x36.l = 571.628644;
x37.l = 1187.911844;
x38.l = 1445.438142;
x41.l = 100;
x42.l = 100;
x43.l = 100;
x44.l = 100;
x45.l = 100;
x46.l = 100;
x47.l = 100;
x48.l = 100;
x49.l = 100;
x50.l = 100;
x51.l = 100;
x52.l = 100;
x53.l = 100;
x54.l = 100;
x55.l = 100;
x56.l = 100;
x57.l = 100;
x58.l = 100;
x59.l = 100;
x60.l = 100;
Model m / all /;
m.limrow=0; m.limcol=0;
m.tolproj=0.0;
$if NOT '%gams.u1%' == '' $include '%gams.u1%'
$if not set NLP $set NLP NLP
Solve m using %NLP% minimizing objvar;
Last updated: 2025-08-07 Git hash: e62cedfc