MINLPLib
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Instance pooling_digabel19
| Formatsⓘ | ams gms lp mod nl osil pip py |
| Primal Bounds (infeas ≤ 1e-08)ⓘ | |
| Other points (infeas > 1e-08)ⓘ | |
| Dual Boundsⓘ | -4542.65674200 (ANTIGONE) -4553.70628900 (BARON) -4544.60268000 (COUENNE) -4543.75143400 (GUROBI) -4543.36561500 (LINDO) -4540.61637600 (SCIP) |
| Referencesⓘ | Audet, Charles, Brimberg, Jack, Hansen, Pierre, Digabel, Sébastien Le, and Mladenović, Nenad, Pooling Problem: Alternate Formulations and Solution Methods, Management Science, 50:6, 2004, 761-776. |
| Sourceⓘ | QPLIB instance 6311, contributed by Sebastien Le Digabel |
| Applicationⓘ | Pooling problem |
| Added to libraryⓘ | 18 Aug 2018 |
| Problem typeⓘ | QCP |
| #Variablesⓘ | 212 |
| #Binary Variablesⓘ | 0 |
| #Integer Variablesⓘ | 0 |
| #Nonlinear Variablesⓘ | 93 |
| #Nonlinear Binary Variablesⓘ | 0 |
| #Nonlinear Integer Variablesⓘ | 0 |
| Objective Senseⓘ | min |
| Objective typeⓘ | linear |
| Objective curvatureⓘ | linear |
| #Nonzeros in Objectiveⓘ | 168 |
| #Nonlinear Nonzeros in Objectiveⓘ | 0 |
| #Constraintsⓘ | 171 |
| #Linear Constraintsⓘ | 43 |
| #Quadratic Constraintsⓘ | 128 |
| #Polynomial Constraintsⓘ | 0 |
| #Signomial Constraintsⓘ | 0 |
| #General Nonlinear Constraintsⓘ | 0 |
| Operands in Gen. Nonlin. Functionsⓘ | |
| Constraints curvatureⓘ | indefinite |
| #Nonzeros in Jacobianⓘ | 2327 |
| #Nonlinear Nonzeros in Jacobianⓘ | 1100 |
| #Nonzeros in (Upper-Left) Hessian of Lagrangianⓘ | 424 |
| #Nonzeros in Diagonal of Hessian of Lagrangianⓘ | 0 |
| #Blocks in Hessian of Lagrangianⓘ | 10 |
| Minimal blocksize in Hessian of Lagrangianⓘ | 6 |
| Maximal blocksize in Hessian of Lagrangianⓘ | 14 |
| Average blocksize in Hessian of Lagrangianⓘ | 9.3 |
| #Semicontinuitiesⓘ | 0 |
| #Nonlinear Semicontinuitiesⓘ | 0 |
| #SOS type 1ⓘ | 0 |
| #SOS type 2ⓘ | 0 |
| Minimal coefficientⓘ | 4.6083e-02 |
| Maximal coefficientⓘ | 9.4800e+02 |
| Infeasibility of initial pointⓘ | 0 |
| Sparsity Jacobianⓘ |  |
| Sparsity Hessian of Lagrangianⓘ |  |
$offlisting
*
* Equation counts
* Total E G L N X C B
* 172 41 54 77 0 0 0 0
*
* Variable counts
* x b i s1s s2s sc si
* Total cont binary integer sos1 sos2 scont sint
* 213 213 0 0 0 0 0 0
* FX 0
*
* Nonzero counts
* Total const NL DLL
* 2496 1396 1100 0
*
* Solve m using QCP minimizing objvar;
Variables objvar,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,x170,x171,x172,x173,x174,x175,x176,x177,x178,x179,x180
,x181,x182,x183,x184,x185,x186,x187,x188,x189,x190,x191,x192,x193
,x194,x195,x196,x197,x198,x199,x200,x201,x202,x203,x204,x205,x206
,x207,x208,x209,x210,x211,x212,x213;
Positive Variables 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,x210,x211,x212,x213;
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;
e1.. - objvar - 284.4*x2 - 237*x3 - 331.8*x4 - 379.2*x5 - 426.6*x6 + 94.8*x7
- 94.8*x8 - 142.2*x9 + 379.2*x10 - 47.4*x11 - 142.2*x12 - 189.6*x13
- 237*x14 - 663.6*x15 - 521.4*x16 - 663.6*x17 - 189.6*x18 + 47.4*x19
+ 237*x20 + 47.4*x21 + 47.4*x22 - 331.8*x23 - 521.4*x24 + 237*x25
+ 663.6*x26 + 284.4*x27 + 616.2*x28 + 284.4*x29 + 331.8*x30 + 616.2*x31
- 474*x32 - 521.4*x33 - 94.8*x34 - 616.2*x35 - 94.8*x36 + 47.4*x37
- 47.4*x38 - 94.8*x39 + 379.2*x40 + 47.4*x41 + 94.8*x42 - 94.8*x43
+ 379.2*x44 - 94.8*x45 + 331.8*x46 + 47.4*x47 + 47.4*x48 + 94.8*x49
- 47.4*x50 + 426.6*x51 - 47.4*x52 - 94.8*x53 - 379.2*x54 + 47.4*x55
- 426.6*x56 - 474*x57 - 331.8*x58 - 474*x59 - 521.4*x60 - 284.4*x61
+ 142.2*x62 - 237*x63 - 331.8*x64 - 379.2*x65 + 94.8*x66 - 237*x67
- 189.6*x68 - 426.6*x69 + 94.8*x70 - 711*x71 - 331.8*x72 - 284.4*x73
- 758.4*x74 - 663.6*x75 - 616.2*x76 - 805.8*x77 - 284.4*x78 - 237*x79
- 331.8*x80 - 379.2*x81 + 94.8*x82 - 237*x83 - 189.6*x84 - 379.2*x85
+ 94.8*x86 - 237*x87 - 331.8*x88 - 379.2*x89 + 94.8*x90 - 237*x91
- 189.6*x92 - 379.2*x93 + 94.8*x94 - 284.4*x95 + 142.2*x96 - 237*x97
- 237*x98 - 379.2*x99 + 94.8*x100 - 331.8*x101 - 237*x102 + 379.2*x103
+ 426.6*x104 + 853.2*x105 + 474*x106 + 331.8*x107 + 474*x108 + 331.8*x109
+ 805.8*x110 + 758.4*x111 + 189.6*x112 + 284.4*x113 + 711*x114
+ 284.4*x115 + 284.4*x116 + 189.6*x117 + 616.2*x118 + 189.6*x119
- 94.8*x120 - 521.4*x121 - 284.4*x122 + 142.2*x123 - 900.6*x124
+ 426.6*x125 + 853.2*x126 + 853.2*x127 + 426.6*x128 + 142.2*x129
- 284.4*x130 - 189.6*x131 - 94.8*x132 + 331.8*x133 + 331.8*x134
- 94.8*x135 - 94.8*x136 - 805.8*x137 - 711*x138 + 521.4*x139 + 948*x140
+ 521.4*x141 + 521.4*x142 + 237*x143 - 189.6*x144 - 94.8*x145
- 189.6*x146 - 189.6*x147 - 189.6*x148 - 189.6*x149 + 284.4*x150
+ 284.4*x151 + 284.4*x152 + 284.4*x153 - 426.6*x154 + 237*x155 + 237*x156
+ 237*x157 + 237*x158 - 47.4*x159 - 474*x160 - 379.2*x161 + 331.8*x162
+ 331.8*x163 + 47.4*x164 - 379.2*x165 - 284.4*x166 - 94.8*x167
- 94.8*x168 - 805.8*x169 =E= 0;
e2.. x2 + x3 + x4 + x5 + x6 + x61 + x62 + x63 + x64 + x65 + x66 + x67 + x68
+ x69 + x70 + 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 + x104 + x105 + x106 + x107 + x108 + x109 + x110
+ x111 + x112 - x113 - x115 - x116 - x117 - x119 - x121 - x122 - x124
- x125 - x128 - x130 - x131 - x132 - x135 - x136 - x137 - x138 - x139
- x141 - x142 - x144 - x145 - x146 - x147 - x148 - x149 - x150 - x151
- x152 - x153 - x154 - x155 - x156 - x157 - x158 - x160 - x161 - x162
- x163 - x165 - x166 - x167 - x168 - x169 =L= 10;
e3.. x7 + x8 + x9 + x10 + x103 + x104 + x105 + x106 + x107 + x108 + x109
+ x110 + x113 + x114 + x115 + x116 - x120 - x121 - x129 - x130 - x137
- x143 - x144 - x154 - x159 - x160 - x164 - x165 - x169 + x210 =L= 10;
e4.. x11 + x12 + x13 + x14 + x111 + x112 + x117 + x118 + x119 + x120 + x121
- x124 - x131 - x138 - x145 - x161 - x166 =L= 10;
e5.. x15 + x16 + x17 + x18 + x122 + x123 + x124 =L= 10;
e6.. x19 + x20 + x21 + x125 + x126 + x127 + x128 + x129 + x130 + x131 + x211
=L= 10;
e7.. x22 + x23 + x24 + x132 + x133 + x134 + x135 + x136 + x137 + x138 =L= 10
;
e8.. x25 + x26 + x27 + x28 + x29 + x30 + x31 + x139 + x140 + x141 + x142
+ x143 + x144 + x145 =L= 10;
e9.. x32 + x33 + x34 + x35 + x36 + x146 + x147 + x148 + x149 =L= 10;
e10.. x37 + x38 + x39 + x40 + x41 + x42 + x43 + x44 + x150 + x151 + x152
+ x153 + x154 =L= 10;
e11.. x45 + x46 + x47 + x155 + x156 + x157 + x158 + x159 + x160 + x161
=L= 10;
e12.. x48 + x49 + x50 + x51 + x52 + x53 + x162 + x163 + x164 + x165 + x166
+ x212 =L= 10;
e13.. x54 + x55 + x56 + x57 + x58 + x59 + x60 + x167 + x168 + x169 + x213
=L= 10;
e14.. x2 + x25 + x32 + x48 + x54 + x61 + x71 + x78 + x95 + x104 + x210
=L= 0.0421941;
e15.. x22 + x26 + x55 + x62 + x73 + x96 + x105 + x111 =L= 1.81435;
e16.. x3 + x11 + x23 + x27 + x37 + x49 + x63 + x79 + x87 + x97 + x106
=L= 0.0632911;
e17.. x4 + x12 + x33 + x38 + x45 + x56 + x64 + x74 + x80 + x88 + x101 + x212
=L= 1.81435;
e18.. x13 + x15 + x19 + x39 + x50 + x57 + x65 + x81 + x89 + x107
=L= 0.970464;
e19.. x28 + x34 + x40 + x46 + x51 + x66 + x82 + x90 + x103 + x213
=L= 0.548523;
e20.. x16 + x29 + x41 + x58 + x67 + x75 + x83 + x91 + x98 + x102 + x108
=L= 1.49789;
e21.. x7 + x20 + x30 + x42 + x47 + x68 + x76 + x84 + x92 =L= 1.54008;
e22.. x5 + x8 + x17 + x21 + x43 + x52 + x59 + x77 + x85 + x93 + x99 + x109
=L= 0.400844;
e23.. x6 + x9 + x14 + x24 + x35 + x53 + x60 + x69 + x112 + x211 =L= 0.843882
;
e24.. x10 + x18 + x31 + x36 + x44 + x70 + x72 + x86 + x94 + x100 + x110
=L= 0.464135;
e25.. x61 + x62 + x63 + x64 + x65 + x66 + x67 + x68 + x69 + x70 =L= 10;
e26.. x71 + x72 =L= 10;
e27.. x73 + x74 + x75 + x76 + x77 =L= 10;
e28.. x78 + x79 + x80 + x81 + x82 + x83 + x84 + x85 + x86 =L= 10;
e29.. x87 + x88 + x89 + x90 + x91 + x92 + x93 + x94 =L= 10;
e30.. x95 + x96 + x97 + x98 + x99 + x100 =L= 10;
e31.. x101 + x102 =L= 10;
e32.. x103 + x210 =L= 10;
e33.. x104 + x105 + x106 + x107 + x108 + x109 + x110 =L= 10;
e34.. x111 + x112 =L= 10;
e35.. x61 + x62 + x63 + x64 + x65 + x66 + x67 + x68 + x69 + x70 - x113
- x117 - x122 - x125 - x132 - x139 - x146 - x150 - x155 - x162 - x167
=G= 0;
e36.. x78 + x79 + x80 + x81 + x82 + x83 + x84 + x85 + x86 - x115 - x119
- x128 - x135 - x141 - x147 - x151 - x156 =G= 0;
e37.. x87 + x88 + x89 + x90 + x91 + x92 + x93 + x94 - x136 - x148 - x152
- x157 - x168 =G= 0;
e38.. x95 + x96 + x97 + x98 + x99 + x100 - x142 - x149 - x153 - x158 =G= 0;
e39.. x101 + x102 - x116 - x163 =G= 0;
e40.. x104 + x105 + x106 + x107 + x108 + x109 + x110 - x121 - x130 - x137
- x144 - x154 - x160 - x165 - x169 =G= 0;
e41.. x111 + x112 - x124 - x131 - x138 - x145 - x161 - x166 =G= 0;
e42.. x103 - x120 - x129 - x143 - x159 - x164 + x210 =G= 0;
e43.. x104 + x105 + x106 + x107 + x108 + x109 + x110 - x121 - x130 - x137
- x144 - x154 - x160 - x165 - x169 =G= 0;
e44.. x111 + x112 - x124 - x131 - x138 - x145 - x161 - x166 =G= 0;
e45.. x170*x61 - 3.47826*x61 + x170*x62 - 3.47826*x62 + x170*x63 - 3.47826*x63
+ x170*x64 - 3.47826*x64 + x170*x65 - 3.47826*x65 + x170*x66 - 3.47826*
x66 + x170*x67 - 3.47826*x67 + x170*x68 - 3.47826*x68 + x170*x69 -
3.47826*x69 + x170*x70 - 3.47826*x70 - 0.0869565*x113 + 0.782609*x117
- 0.73913*x122 - 0.782609*x125 - 0.782609*x132 + 2.91304*x139
+ 0.956522*x146 + 2.78261*x150 + 1.6087*x155 + 2.13043*x162
+ 2.3913*x167 =E= 0;
e46.. x171*x71 + x171*x72 - 2.69565*x118 - 4.21739*x123 - 4.26087*x126
- 4.26087*x133 =E= 0;
e47.. x172*x73 + x172*x74 + x172*x75 + x172*x76 + x172*x77 - 3.56522*x114
- 4.26087*x127 - 4.26087*x134 - 0.565217*x140 =E= 0;
e48.. x173*x78 - 3.47826*x78 + x173*x79 - 3.47826*x79 + x173*x80 - 3.47826*x80
+ x173*x81 - 3.47826*x81 + x173*x82 - 3.47826*x82 + x173*x83 - 3.47826*
x83 + x173*x84 - 3.47826*x84 + x173*x85 - 3.47826*x85 + x173*x86 -
3.47826*x86 - 0.0869565*x115 + 0.782609*x119 - 0.782609*x128
- 0.782609*x135 + 2.91304*x141 + 0.956522*x147 + 2.78261*x151
+ 1.6087*x156 =E= 0;
e49.. x174*x87 - 3.47826*x87 + x174*x88 - 3.47826*x88 + x174*x89 - 3.47826*x89
+ x174*x90 - 3.47826*x90 + x174*x91 - 3.47826*x91 + x174*x92 - 3.47826*
x92 + x174*x93 - 3.47826*x93 + x174*x94 - 3.47826*x94 - 0.782609*x136
+ 0.956522*x148 + 2.78261*x152 + 1.6087*x157 + 2.3913*x168 =E= 0;
e50.. x175*x95 - 3.47826*x95 + x175*x96 - 3.47826*x96 + x175*x97 - 3.47826*x97
+ x175*x98 - 3.47826*x98 + x175*x99 - 3.47826*x99 + x175*x100 - 3.47826*
x100 + 2.91304*x142 + 0.956522*x149 + 2.78261*x153 + 1.6087*x158 =E= 0;
e51.. x176*x101 - 3.47826*x101 + x176*x102 - 3.47826*x102 - 0.0869565*x116
+ 2.13043*x163 =E= 0;
e52.. x177*x103 - 3.56522*x103 + x210*x177 - 3.56522*x210 + 0.869565*x120
- 0.695652*x129 + 3*x143 + 1.69565*x159 + 2.21739*x164 =E= 0;
e53.. x178*x104 - 7.04348*x104 + x178*x105 - 7.04348*x105 + x178*x106 - 7.04348
*x106 + x178*x107 - 7.04348*x107 + x178*x108 - 7.04348*x108 + x178*x109
- 7.04348*x109 + x178*x110 - 7.04348*x110 + 4.34783*x121 + 2.78261*x130
+ 2.78261*x137 + 6.47826*x144 + 6.34783*x154 + 5.17391*x160
+ 5.69565*x165 + 5.95652*x169 =E= 0;
e54.. x179*x111 - 6.17391*x111 + x179*x112 - 6.17391*x112 + 1.95652*x124
+ 1.91304*x131 + 1.91304*x138 + 5.6087*x145 + 4.30435*x161
+ 4.82609*x166 =E= 0;
e55.. x170*x61 - 0.565217*x61 + x171*x71 - 0.565217*x71 + x173*x78 - 0.565217*
x78 + x175*x95 - 0.565217*x95 + x178*x104 - 0.565217*x104 + x210*x177 -
0.565217*x210 + 2.91304*x2 + 1.95652*x32 + 0.782609*x48 + 0.521739*x54
=G= 0;
e56.. x170*x61 - 9.43478*x61 + x171*x71 - 9.43478*x71 + x173*x78 - 9.43478*x78
+ x175*x95 - 9.43478*x95 + x178*x104 - 9.43478*x104 + x210*x177 -
9.43478*x210 - 5.95652*x2 - 8.86957*x25 - 6.91304*x32 - 8.08696*x48
- 8.34783*x54 =L= 0;
e57.. x170*x62 - 0.565217*x62 + x172*x73 - 0.565217*x73 + x175*x96 - 0.565217*
x96 + x178*x105 - 0.565217*x105 + x179*x111 - 0.565217*x111 + 3.69565*x22
+ 0.521739*x55 =G= 0;
e58.. x170*x62 - 5.34783*x62 + x172*x73 - 5.34783*x73 + x175*x96 - 5.34783*x96
+ x178*x105 - 5.34783*x105 + x179*x111 - 5.34783*x111 - 1.08696*x22
- 4.78261*x26 - 4.26087*x55 =L= 0;
e59.. x170*x63 - 0.565217*x63 + x173*x79 - 0.565217*x79 + x174*x87 - 0.565217*
x87 + x175*x97 - 0.565217*x97 + x178*x106 - 0.565217*x106 + 2.91304*x3
+ 2.13043*x11 + 3.69565*x23 + 0.130435*x37 + 0.782609*x49 =G= 0;
e60.. x170*x63 - 8.17391*x63 + x173*x79 - 8.17391*x79 + x174*x87 - 8.17391*x87
+ x175*x97 - 8.17391*x97 + x178*x106 - 8.17391*x106 - 4.69565*x3
- 5.47826*x11 - 3.91304*x23 - 7.6087*x27 - 7.47826*x37 - 6.82609*x49
=L= 0;
e61.. x170*x64 - 0.565217*x64 + x172*x74 - 0.565217*x74 + x173*x80 - 0.565217*
x80 + x174*x88 - 0.565217*x88 + x176*x101 - 0.565217*x101 + 2.91304*x4
+ 2.13043*x12 + 1.95652*x33 + 0.130435*x38 + 1.30435*x45 + 0.521739*x56
+ 0.782609*x212 =G= 0;
e62.. x170*x64 - 10*x64 + x172*x74 - 10*x74 + x173*x80 - 10*x80 + x174*x88 - 10
*x88 + x176*x101 - 10*x101 - 6.52174*x4 - 7.30435*x12 - 7.47826*x33
- 9.30435*x38 - 8.13043*x45 - 8.91304*x56 - 8.65217*x212 =L= 0;
e63.. x170*x65 - 0.565217*x65 + x173*x81 - 0.565217*x81 + x174*x89 - 0.565217*
x89 + x178*x107 - 0.565217*x107 + 2.13043*x13 + 3.65217*x15 + 3.69565*x19
+ 0.130435*x39 + 0.782609*x50 + 0.521739*x57 =G= 0;
e64.. x170*x65 - 3.65217*x65 + x173*x81 - 3.65217*x81 + x174*x89 - 3.65217*x89
+ x178*x107 - 3.65217*x107 - 0.956522*x13 + 0.565217*x15 + 0.608696*x19
- 2.95652*x39 - 2.30435*x50 - 2.56522*x57 =L= 0;
e65.. x170*x66 - 0.565217*x66 + x173*x82 - 0.565217*x82 + x174*x90 - 0.565217*
x90 + x177*x103 - 0.565217*x103 + 1.95652*x34 + 0.130435*x40
+ 1.30435*x46 + 0.782609*x51 + 0.521739*x213 =G= 0;
e66.. x170*x66 - 2.6087*x66 + x173*x82 - 2.6087*x82 + x174*x90 - 2.6087*x90 +
x177*x103 - 2.6087*x103 - 2.04348*x28 - 0.0869565*x34 - 1.91304*x40
- 0.73913*x46 - 1.26087*x51 - 1.52174*x213 =L= 0;
e67.. x170*x67 - 0.565217*x67 + x172*x75 - 0.565217*x75 + x173*x83 - 0.565217*
x83 + x174*x91 - 0.565217*x91 + x175*x98 - 0.565217*x98 + x176*x102 -
0.565217*x102 + x178*x108 - 0.565217*x108 + 3.65217*x16 + 0.130435*x41
+ 0.521739*x58 =G= 0;
e68.. x170*x67 - 7.65217*x67 + x172*x75 - 7.65217*x75 + x173*x83 - 7.65217*x83
+ x174*x91 - 7.65217*x91 + x175*x98 - 7.65217*x98 + x176*x102 - 7.65217*
x102 + x178*x108 - 7.65217*x108 - 3.43478*x16 - 7.08696*x29 - 6.95652*x41
- 6.56522*x58 =L= 0;
e69.. x170*x68 - 0.565217*x68 + x172*x76 - 0.565217*x76 + x173*x84 - 0.565217*
x84 + x174*x92 - 0.565217*x92 + 3*x7 + 3.69565*x20 + 0.130435*x42
+ 1.30435*x47 =G= 0;
e70.. x170*x68 - 4.47826*x68 + x172*x76 - 4.47826*x76 + x173*x84 - 4.47826*x84
+ x174*x92 - 4.47826*x92 - 0.913043*x7 - 0.217391*x20 - 3.91304*x30
- 3.78261*x42 - 2.6087*x47 =L= 0;
e71.. x172*x77 - 0.565217*x77 + x173*x85 - 0.565217*x85 + x174*x93 - 0.565217*
x93 + x175*x99 - 0.565217*x99 + x178*x109 - 0.565217*x109 + 2.91304*x5
+ 3*x8 + 3.65217*x17 + 3.69565*x21 + 0.130435*x43 + 0.782609*x52
+ 0.521739*x59 =G= 0;
e72.. x172*x77 - 2.56522*x77 + x173*x85 - 2.56522*x85 + x174*x93 - 2.56522*x93
+ x175*x99 - 2.56522*x99 + x178*x109 - 2.56522*x109 + 0.913043*x5 + x8
+ 1.65217*x17 + 1.69565*x21 - 1.86957*x43 - 1.21739*x52 - 1.47826*x59
=L= 0;
e73.. x170*x69 - 0.565217*x69 + x179*x112 - 0.565217*x112 + 2.91304*x6 + 3*x9
+ 2.13043*x14 + 3.69565*x24 + 1.95652*x35 + 0.782609*x53 + 0.521739*x60
+ 3.69565*x211 =G= 0;
e74.. x170*x69 - 9.52174*x69 + x179*x112 - 9.52174*x112 - 6.04348*x6
- 5.95652*x9 - 6.82609*x14 - 5.26087*x24 - 7*x35 - 8.17391*x53
- 8.43478*x60 - 5.26087*x211 =L= 0;
e75.. x170*x70 - 0.565217*x70 + x171*x72 - 0.565217*x72 + x173*x86 - 0.565217*
x86 + x174*x94 - 0.565217*x94 + x175*x100 - 0.565217*x100 + x178*x110 -
0.565217*x110 + 3*x10 + 3.65217*x18 + 1.95652*x36 + 0.130435*x44 =G= 0;
e76.. x170*x70 - 9*x70 + x171*x72 - 9*x72 + x173*x86 - 9*x86 + x174*x94 - 9*x94
+ x175*x100 - 9*x100 + x178*x110 - 9*x110 - 5.43478*x10 - 4.78261*x18
- 8.43478*x31 - 6.47826*x36 - 8.30435*x44 =L= 0;
e77.. x180*x61 - 0.843373*x61 + x180*x62 - 0.843373*x62 + x180*x63 - 0.843373*
x63 + x180*x64 - 0.843373*x64 + x180*x65 - 0.843373*x65 + x180*x66 -
0.843373*x66 + x180*x67 - 0.843373*x67 + x180*x68 - 0.843373*x68 + x180*
x69 - 0.843373*x69 + x180*x70 - 0.843373*x70 - 1.72691*x113
- 2.81124*x117 - 2.249*x122 + 0.120482*x125 + 0.682731*x132
+ 0.562249*x139 - 1.60643*x146 - 0.160643*x150 - 2.00803*x155
- 2.81124*x162 - 1.04418*x167 =E= 0;
e78.. x181*x71 + x181*x72 - 3.65462*x118 - 3.09237*x123 - 0.722892*x126
- 0.160643*x133 =E= 0;
e79.. x182*x73 + x182*x74 + x182*x75 + x182*x76 + x182*x77 - 2.57028*x114
- 0.722892*x127 - 0.160643*x134 - 0.281124*x140 =E= 0;
e80.. x183*x78 - 0.843373*x78 + x183*x79 - 0.843373*x79 + x183*x80 - 0.843373*
x80 + x183*x81 - 0.843373*x81 + x183*x82 - 0.843373*x82 + x183*x83 -
0.843373*x83 + x183*x84 - 0.843373*x84 + x183*x85 - 0.843373*x85 + x183*
x86 - 0.843373*x86 - 1.72691*x115 - 2.81124*x119 + 0.120482*x128
+ 0.682731*x135 + 0.562249*x141 - 1.60643*x147 - 0.160643*x151
- 2.00803*x156 =E= 0;
e81.. x184*x87 - 0.843373*x87 + x184*x88 - 0.843373*x88 + x184*x89 - 0.843373*
x89 + x184*x90 - 0.843373*x90 + x184*x91 - 0.843373*x91 + x184*x92 -
0.843373*x92 + x184*x93 - 0.843373*x93 + x184*x94 - 0.843373*x94
+ 0.682731*x136 - 1.60643*x148 - 0.160643*x152 - 2.00803*x157
- 1.04418*x168 =E= 0;
e82.. x185*x95 - 0.843373*x95 + x185*x96 - 0.843373*x96 + x185*x97 - 0.843373*
x97 + x185*x98 - 0.843373*x98 + x185*x99 - 0.843373*x99 + x185*x100 -
0.843373*x100 + 0.562249*x142 - 1.60643*x149 - 0.160643*x153
- 2.00803*x158 =E= 0;
e83.. x186*x101 - 0.843373*x101 + x186*x102 - 0.843373*x102 - 1.72691*x116
- 2.81124*x163 =E= 0;
e84.. x187*x103 - 2.57028*x103 + x210*x187 - 2.57028*x210 - 1.08434*x120
+ 1.84739*x129 + 2.28916*x143 - 0.281124*x159 - 1.08434*x164 =E= 0;
e85.. x188*x104 - 3.41365*x104 + x188*x105 - 3.41365*x105 + x188*x106 - 3.41365
*x106 + x188*x107 - 3.41365*x107 + x188*x108 - 3.41365*x108 + x188*x109
- 3.41365*x109 + x188*x110 - 3.41365*x110 - 0.240964*x121 + 2.69076*x130
+ 3.25301*x137 + 3.13253*x144 + 2.40964*x154 + 0.562249*x160
- 0.240964*x165 + 1.5261*x169 =E= 0;
e86.. x189*x111 - 4.49799*x111 + x189*x112 - 4.49799*x112 + 1.40562*x124
+ 3.7751*x131 + 4.33735*x138 + 4.21687*x145 + 1.64659*x161
+ 0.843373*x166 =E= 0;
e87.. x180*x61 - 0.160643*x61 + x181*x71 - 0.160643*x71 + x183*x78 - 0.160643*
x78 + x185*x95 - 0.160643*x95 + x188*x104 - 0.160643*x104 + x210*x187 -
0.160643*x210 + 0.682731*x2 + 0.120482*x25 + 2.28916*x32 + 3.49398*x48
+ 1.72691*x54 =G= 0;
e88.. x180*x61 - 6.78715*x61 + x181*x71 - 6.78715*x71 + x183*x78 - 6.78715*x78
+ x185*x95 - 6.78715*x95 + x188*x104 - 6.78715*x104 + x210*x187 -
6.78715*x210 - 5.94378*x2 - 6.50602*x25 - 4.33735*x32 - 3.13253*x48
- 4.8996*x54 =L= 0;
e89.. x180*x62 - 0.160643*x62 + x182*x73 - 0.160643*x73 + x185*x96 - 0.160643*
x96 + x188*x105 - 0.160643*x105 + x189*x111 - 0.160643*x111
+ 0.120482*x26 + 1.72691*x55 =G= 0;
e90.. x180*x62 - 6.14458*x62 + x182*x73 - 6.14458*x73 + x185*x96 - 6.14458*x96
+ x188*x105 - 6.14458*x105 + x189*x111 - 6.14458*x111 - 5.98394*x22
- 5.86345*x26 - 4.25703*x55 =L= 0;
e91.. x180*x63 - 0.160643*x63 + x183*x79 - 0.160643*x79 + x184*x87 - 0.160643*
x87 + x185*x97 - 0.160643*x97 + x188*x106 - 0.160643*x106 + 0.682731*x3
+ 3.49398*x11 + 0.120482*x27 + 0.843373*x37 + 3.49398*x49 =G= 0;
e92.. x180*x63 - 2.85141*x63 + x183*x79 - 2.85141*x79 + x184*x87 - 2.85141*x87
+ x185*x97 - 2.85141*x97 + x188*x106 - 2.85141*x106 - 2.00803*x3
+ 0.803213*x11 - 2.69076*x23 - 2.57028*x27 - 1.84739*x37 + 0.803213*x49
=L= 0;
e93.. x180*x64 - 0.160643*x64 + x182*x74 - 0.160643*x74 + x183*x80 - 0.160643*
x80 + x184*x88 - 0.160643*x88 + x186*x101 - 0.160643*x101 + 0.682731*x4
+ 3.49398*x12 + 2.28916*x33 + 0.843373*x38 + 2.69076*x45 + 1.72691*x56
+ 3.49398*x212 =G= 0;
e94.. x180*x64 - 5.46185*x64 + x182*x74 - 5.46185*x74 + x183*x80 - 5.46185*x80
+ x184*x88 - 5.46185*x88 + x186*x101 - 5.46185*x101 - 4.61847*x4
- 1.80723*x12 - 3.01205*x33 - 4.45783*x38 - 2.61044*x45 - 3.5743*x56
- 1.80723*x212 =L= 0;
e95.. x180*x65 - 0.160643*x65 + x183*x81 - 0.160643*x81 + x184*x89 - 0.160643*
x89 + x188*x107 - 0.160643*x107 + 3.49398*x13 + 2.93173*x15
+ 0.562249*x19 + 0.843373*x39 + 3.49398*x50 + 1.72691*x57 =G= 0;
e96.. x180*x65 - 6.14458*x65 + x183*x81 - 6.14458*x81 + x184*x89 - 6.14458*x89
+ x188*x107 - 6.14458*x107 - 2.48996*x13 - 3.05221*x15 - 5.42169*x19
- 5.14056*x39 - 2.48996*x50 - 4.25703*x57 =L= 0;
e97.. x180*x66 - 0.160643*x66 + x183*x82 - 0.160643*x82 + x184*x90 - 0.160643*
x90 + x187*x103 - 0.160643*x103 + 0.120482*x28 + 2.28916*x34
+ 0.843373*x40 + 2.69076*x46 + 3.49398*x51 + 1.72691*x213 =G= 0;
e98.. x180*x66 - 2.73092*x66 + x183*x82 - 2.73092*x82 + x184*x90 - 2.73092*x90
+ x187*x103 - 2.73092*x103 - 2.4498*x28 - 0.281124*x34 - 1.72691*x40
+ 0.120482*x46 + 0.923695*x51 - 0.843373*x213 =L= 0;
e99.. x180*x67 - 0.160643*x67 + x182*x75 - 0.160643*x75 + x183*x83 - 0.160643*
x83 + x184*x91 - 0.160643*x91 + x185*x98 - 0.160643*x98 + x186*x102 -
0.160643*x102 + x188*x108 - 0.160643*x108 + 2.93173*x16 + 0.120482*x29
+ 0.843373*x41 + 1.72691*x58 =G= 0;
e100.. x180*x67 - 9.07631*x67 + x182*x75 - 9.07631*x75 + x183*x83 - 9.07631*x83
+ x184*x91 - 9.07631*x91 + x185*x98 - 9.07631*x98 + x186*x102 - 9.07631
*x102 + x188*x108 - 9.07631*x108 - 5.98394*x16 - 8.79518*x29
- 8.07229*x41 - 7.18876*x58 =L= 0;
e101.. x180*x68 - 0.160643*x68 + x182*x76 - 0.160643*x76 + x183*x84 - 0.160643*
x84 + x184*x92 - 0.160643*x92 + 2.40964*x7 + 0.562249*x20 + 0.120482*x30
+ 0.843373*x42 + 2.69076*x47 =G= 0;
e102.. x180*x68 - 3.69478*x68 + x182*x76 - 3.69478*x76 + x183*x84 - 3.69478*x84
+ x184*x92 - 3.69478*x92 - 1.1245*x7 - 2.97189*x20 - 3.41365*x30
- 2.69076*x42 - 0.843373*x47 =L= 0;
e103.. x182*x77 - 0.160643*x77 + x183*x85 - 0.160643*x85 + x184*x93 - 0.160643*
x93 + x185*x99 - 0.160643*x99 + x188*x109 - 0.160643*x109 + 0.682731*x5
+ 2.40964*x8 + 2.93173*x17 + 0.562249*x21 + 0.843373*x43 + 3.49398*x52
+ 1.72691*x59 =G= 0;
e104.. x182*x77 - 10*x77 + x183*x85 - 10*x85 + x184*x93 - 10*x93 + x185*x99 -
10*x99 + x188*x109 - 10*x109 - 9.15663*x5 - 7.42972*x8 - 6.90763*x17
- 9.27711*x21 - 8.99598*x43 - 6.34538*x52 - 8.11245*x59 =L= 0;
e105.. x180*x69 - 0.160643*x69 + x189*x112 - 0.160643*x112 + 0.682731*x6
+ 2.40964*x9 + 3.49398*x14 + 2.28916*x35 + 3.49398*x53 + 1.72691*x60
+ 0.562249*x211 =G= 0;
e106.. x180*x69 - 3.05221*x69 + x189*x112 - 3.05221*x112 - 2.20884*x6
- 0.481928*x9 + 0.60241*x14 - 2.89157*x24 - 0.60241*x35 + 0.60241*x53
- 1.16466*x60 - 2.32932*x211 =L= 0;
e107.. x180*x70 - 0.160643*x70 + x181*x72 - 0.160643*x72 + x183*x86 - 0.160643*
x86 + x184*x94 - 0.160643*x94 + x185*x100 - 0.160643*x100 + x188*x110 -
0.160643*x110 + 2.40964*x10 + 2.93173*x18 + 0.120482*x31 + 2.28916*x36
+ 0.843373*x44 =G= 0;
e108.. x180*x70 - 5.06024*x70 + x181*x72 - 5.06024*x72 + x183*x86 - 5.06024*x86
+ x184*x94 - 5.06024*x94 + x185*x100 - 5.06024*x100 + x188*x110 -
5.06024*x110 - 2.48996*x10 - 1.96787*x18 - 4.77912*x31 - 2.61044*x36
- 4.05622*x44 =L= 0;
e109.. x190*x61 - 2.58065*x61 + x190*x62 - 2.58065*x62 + x190*x63 - 2.58065*x63
+ x190*x64 - 2.58065*x64 + x190*x65 - 2.58065*x65 + x190*x66 - 2.58065*
x66 + x190*x67 - 2.58065*x67 + x190*x68 - 2.58065*x68 + x190*x69 -
2.58065*x69 + x190*x70 - 2.58065*x70 - 0.967742*x113 - 0.921659*x117
+ 2.4424*x122 - 1.05991*x125 + 0.230415*x132 + 0.0460829*x139
- 1.52074*x146 - 1.47465*x150 + 0.184332*x155 + 1.52074*x162
+ 2.35023*x167 =E= 0;
e110.. x191*x71 + x191*x72 - 3.5023*x118 - 0.138249*x123 - 3.64055*x126
- 2.35023*x133 =E= 0;
e111.. x192*x73 + x192*x74 + x192*x75 + x192*x76 + x192*x77 - 3.54839*x114
- 3.64055*x127 - 2.35023*x134 - 2.53456*x140 =E= 0;
e112.. x193*x78 - 2.58065*x78 + x193*x79 - 2.58065*x79 + x193*x80 - 2.58065*x80
+ x193*x81 - 2.58065*x81 + x193*x82 - 2.58065*x82 + x193*x83 - 2.58065*
x83 + x193*x84 - 2.58065*x84 + x193*x85 - 2.58065*x85 + x193*x86 -
2.58065*x86 - 0.967742*x115 - 0.921659*x119 - 1.05991*x128
+ 0.230415*x135 + 0.0460829*x141 - 1.52074*x147 - 1.47465*x151
+ 0.184332*x156 =E= 0;
e113.. x194*x87 - 2.58065*x87 + x194*x88 - 2.58065*x88 + x194*x89 - 2.58065*x89
+ x194*x90 - 2.58065*x90 + x194*x91 - 2.58065*x91 + x194*x92 - 2.58065*
x92 + x194*x93 - 2.58065*x93 + x194*x94 - 2.58065*x94 + 0.230415*x136
- 1.52074*x148 - 1.47465*x152 + 0.184332*x157 + 2.35023*x168 =E= 0;
e114.. x195*x95 - 2.58065*x95 + x195*x96 - 2.58065*x96 + x195*x97 - 2.58065*x97
+ x195*x98 - 2.58065*x98 + x195*x99 - 2.58065*x99 + x195*x100 - 2.58065
*x100 + 0.0460829*x142 - 1.52074*x149 - 1.47465*x153 + 0.184332*x158
=E= 0;
e115.. x196*x101 - 2.58065*x101 + x196*x102 - 2.58065*x102 - 0.967742*x116
+ 1.52074*x163 =E= 0;
e116.. x197*x103 - 3.54839*x103 + x210*x197 - 3.54839*x210 + 0.0460829*x120
- 0.0921659*x129 + 1.01382*x143 + 1.15207*x159 + 2.48848*x164 =E= 0;
e117.. x198*x104 - 6.12903*x104 + x198*x105 - 6.12903*x105 + x198*x106 -
6.12903*x106 + x198*x107 - 6.12903*x107 + x198*x108 - 6.12903*x108 +
x198*x109 - 6.12903*x109 + x198*x110 - 6.12903*x110 + 2.62673*x121
+ 2.48848*x130 + 3.7788*x137 + 3.59447*x144 + 2.07373*x154
+ 3.73272*x160 + 5.06912*x165 + 5.89862*x169 =E= 0;
e118.. x199*x111 - 6.08295*x111 + x199*x112 - 6.08295*x112 + 5.9447*x124
+ 2.4424*x131 + 3.73272*x138 + 3.54839*x145 + 3.68664*x161
+ 5.02304*x166 =E= 0;
e119.. x190*x61 - 0.138249*x61 + x191*x71 - 0.138249*x71 + x193*x78 - 0.138249*
x78 + x195*x95 - 0.138249*x95 + x198*x104 - 0.138249*x104 + x210*x197 -
0.138249*x210 + 2.4424*x2 + 2.39631*x25 + 3.96313*x32 + 0.921659*x48
+ 0.0921659*x54 =G= 0;
e120.. x190*x61 - 10*x61 + x191*x71 - 10*x71 + x193*x78 - 10*x78 + x195*x95 -
10*x95 + x198*x104 - 10*x104 + x210*x197 - 10*x210 - 7.41935*x2
- 7.46544*x25 - 5.89862*x32 - 8.94009*x48 - 9.76959*x54 =L= 0;
e121.. x190*x62 - 0.138249*x62 + x192*x73 - 0.138249*x73 + x195*x96 - 0.138249*
x96 + x198*x105 - 0.138249*x105 + x199*x111 - 0.138249*x111
+ 2.21198*x22 + 2.39631*x26 + 0.0921659*x55 =G= 0;
e122.. x190*x62 - 6.86636*x62 + x192*x73 - 6.86636*x73 + x195*x96 - 6.86636*x96
+ x198*x105 - 6.86636*x105 + x199*x111 - 6.86636*x111 - 4.51613*x22
- 4.3318*x26 - 6.63594*x55 =L= 0;
e123.. x190*x63 - 0.138249*x63 + x193*x79 - 0.138249*x79 + x194*x87 - 0.138249*
x87 + x195*x97 - 0.138249*x97 + x198*x106 - 0.138249*x106 + 2.4424*x3
+ 3.36406*x11 + 2.21198*x23 + 2.39631*x27 + 3.91705*x37 + 0.921659*x49
=G= 0;
e124.. x190*x63 - 4.00922*x63 + x193*x79 - 4.00922*x79 + x194*x87 - 4.00922*x87
+ x195*x97 - 4.00922*x97 + x198*x106 - 4.00922*x106 - 1.42857*x3
- 0.506912*x11 - 1.65899*x23 - 1.47465*x27 + 0.0460829*x37
- 2.94931*x49 =L= 0;
e125.. x190*x64 - 0.138249*x64 + x192*x74 - 0.138249*x74 + x193*x80 - 0.138249*
x80 + x194*x88 - 0.138249*x88 + x196*x101 - 0.138249*x101 + 2.4424*x4
+ 3.36406*x12 + 3.96313*x33 + 3.91705*x38 + 2.25806*x45 + 0.0921659*x56
+ 0.921659*x212 =G= 0;
e126.. x190*x64 - 7.5576*x64 + x192*x74 - 7.5576*x74 + x193*x80 - 7.5576*x80 +
x194*x88 - 7.5576*x88 + x196*x101 - 7.5576*x101 - 4.97696*x4
- 4.0553*x12 - 3.45622*x33 - 3.5023*x38 - 5.16129*x45 - 7.32719*x56
- 6.4977*x212 =L= 0;
e127.. x190*x65 - 0.138249*x65 + x193*x81 - 0.138249*x81 + x194*x89 - 0.138249*
x89 + x198*x107 - 0.138249*x107 + 3.36406*x13 + 3.5023*x19 + 3.91705*x39
+ 0.921659*x50 + 0.0921659*x57 =G= 0;
e128.. x190*x65 - 7.88018*x65 + x193*x81 - 7.88018*x81 + x194*x89 - 7.88018*x89
+ x198*x107 - 7.88018*x107 - 4.37788*x13 - 7.74194*x15 - 4.23963*x19
- 3.82488*x39 - 6.82028*x50 - 7.64977*x57 =L= 0;
e129.. x190*x66 - 0.138249*x66 + x193*x82 - 0.138249*x82 + x194*x90 - 0.138249*
x90 + x197*x103 - 0.138249*x103 + 2.39631*x28 + 3.96313*x34
+ 3.91705*x40 + 2.25806*x46 + 0.921659*x51 + 0.0921659*x213 =G= 0;
e130.. x190*x66 - 2.4424*x66 + x193*x82 - 2.4424*x82 + x194*x90 - 2.4424*x90 +
x197*x103 - 2.4424*x103 + 0.0921659*x28 + 1.65899*x34 + 1.6129*x40
- 0.0460829*x46 - 1.38249*x51 - 2.21198*x213 =L= 0;
e131.. x190*x67 - 0.138249*x67 + x192*x75 - 0.138249*x75 + x193*x83 - 0.138249*
x83 + x194*x91 - 0.138249*x91 + x195*x98 - 0.138249*x98 + x196*x102 -
0.138249*x102 + x198*x108 - 0.138249*x108 + 2.39631*x29 + 3.91705*x41
+ 0.0921659*x58 =G= 0;
e132.. x190*x67 - 6.4977*x67 + x192*x75 - 6.4977*x75 + x193*x83 - 6.4977*x83 +
x194*x91 - 6.4977*x91 + x195*x98 - 6.4977*x98 + x196*x102 - 6.4977*x102
+ x198*x108 - 6.4977*x108 - 6.35945*x16 - 3.96313*x29 - 2.4424*x41
- 6.26728*x58 =L= 0;
e133.. x190*x68 - 0.138249*x68 + x192*x76 - 0.138249*x76 + x193*x84 - 0.138249*
x84 + x194*x92 - 0.138249*x92 + 3.41014*x7 + 3.5023*x20 + 2.39631*x30
+ 3.91705*x42 + 2.25806*x47 =G= 0;
e134.. x190*x68 - 6.40553*x68 + x192*x76 - 6.40553*x76 + x193*x84 - 6.40553*x84
+ x194*x92 - 6.40553*x92 - 2.85714*x7 - 2.76498*x20 - 3.87097*x30
- 2.35023*x42 - 4.00922*x47 =L= 0;
e135.. x192*x77 - 0.138249*x77 + x193*x85 - 0.138249*x85 + x194*x93 - 0.138249*
x93 + x195*x99 - 0.138249*x99 + x198*x109 - 0.138249*x109 + 2.4424*x5
+ 3.41014*x8 + 3.5023*x21 + 3.91705*x43 + 0.921659*x52 + 0.0921659*x59
=G= 0;
e136.. x192*x77 - 5.06912*x77 + x193*x85 - 5.06912*x85 + x194*x93 - 5.06912*x93
+ x195*x99 - 5.06912*x99 + x198*x109 - 5.06912*x109 - 2.48848*x5
- 1.52074*x8 - 4.93088*x17 - 1.42857*x21 - 1.01382*x43 - 4.00922*x52
- 4.83871*x59 =L= 0;
e137.. x190*x69 - 0.138249*x69 + x199*x112 - 0.138249*x112 + 2.4424*x6
+ 3.41014*x9 + 3.36406*x14 + 2.21198*x24 + 3.96313*x35 + 0.921659*x53
+ 0.0921659*x60 + 3.5023*x211 =G= 0;
e138.. x190*x69 - 3.36406*x69 + x199*x112 - 3.36406*x112 - 0.78341*x6
+ 0.184332*x9 + 0.138249*x14 - 1.01382*x24 + 0.737327*x35 - 2.30415*x53
- 3.13364*x60 + 0.276498*x211 =L= 0;
e139.. x190*x70 - 0.138249*x70 + x191*x72 - 0.138249*x72 + x193*x86 - 0.138249*
x86 + x194*x94 - 0.138249*x94 + x195*x100 - 0.138249*x100 + x198*x110 -
0.138249*x110 + 3.41014*x10 + 2.39631*x31 + 3.96313*x36 + 3.91705*x44
=G= 0;
e140.. x190*x70 - 9.49309*x70 + x191*x72 - 9.49309*x72 + x193*x86 - 9.49309*x86
+ x194*x94 - 9.49309*x94 + x195*x100 - 9.49309*x100 + x198*x110 -
9.49309*x110 - 5.9447*x10 - 9.35484*x18 - 6.95853*x31 - 5.39171*x36
- 5.43779*x44 =L= 0;
e141.. x200*x61 - 3.89163*x61 + x200*x62 - 3.89163*x62 + x200*x63 - 3.89163*x63
+ x200*x64 - 3.89163*x64 + x200*x65 - 3.89163*x65 + x200*x66 - 3.89163*
x66 + x200*x67 - 3.89163*x67 + x200*x68 - 3.89163*x68 + x200*x69 -
3.89163*x69 + x200*x70 - 3.89163*x70 + 0.8867*x113 - 0.0492611*x117
+ 3.49754*x122 + 3.34975*x125 + 2.36453*x132 - 0.0492611*x139
+ 2.0197*x146 + 0.295567*x150 + 1.33005*x155 + 2.9064*x162
- 0.295567*x167 =E= 0;
e142.. x201*x71 + x201*x72 - 3.94089*x118 - 0.394089*x123 - 0.541872*x126
- 1.52709*x133 =E= 0;
e143.. x202*x73 + x202*x74 + x202*x75 + x202*x76 + x202*x77 - 3.00493*x114
- 0.541872*x127 - 1.52709*x134 - 3.94089*x140 =E= 0;
e144.. x203*x78 - 3.89163*x78 + x203*x79 - 3.89163*x79 + x203*x80 - 3.89163*x80
+ x203*x81 - 3.89163*x81 + x203*x82 - 3.89163*x82 + x203*x83 - 3.89163*
x83 + x203*x84 - 3.89163*x84 + x203*x85 - 3.89163*x85 + x203*x86 -
3.89163*x86 + 0.8867*x115 - 0.0492611*x119 + 3.34975*x128 + 2.36453*x135
- 0.0492611*x141 + 2.0197*x147 + 0.295567*x151 + 1.33005*x156 =E= 0;
e145.. x204*x87 - 3.89163*x87 + x204*x88 - 3.89163*x88 + x204*x89 - 3.89163*x89
+ x204*x90 - 3.89163*x90 + x204*x91 - 3.89163*x91 + x204*x92 - 3.89163*
x92 + x204*x93 - 3.89163*x93 + x204*x94 - 3.89163*x94 + 2.36453*x136
+ 2.0197*x148 + 0.295567*x152 + 1.33005*x157 - 0.295567*x168 =E= 0;
e146.. x205*x95 - 3.89163*x95 + x205*x96 - 3.89163*x96 + x205*x97 - 3.89163*x97
+ x205*x98 - 3.89163*x98 + x205*x99 - 3.89163*x99 + x205*x100 - 3.89163
*x100 - 0.0492611*x142 + 2.0197*x149 + 0.295567*x153 + 1.33005*x158
=E= 0;
e147.. x206*x101 - 3.89163*x101 + x206*x102 - 3.89163*x102 + 0.8867*x116
+ 2.9064*x163 =E= 0;
e148.. x207*x103 - 3.00493*x103 + x210*x207 - 3.00493*x210 - 0.935961*x120
+ 2.46305*x129 - 0.935961*x143 + 0.44335*x159 + 2.0197*x164 =E= 0;
e149.. x208*x104 - 6.89655*x104 + x208*x105 - 6.89655*x105 + x208*x106 -
6.89655*x106 + x208*x107 - 6.89655*x107 + x208*x108 - 6.89655*x108 +
x208*x109 - 6.89655*x109 + x208*x110 - 6.89655*x110 + 2.95567*x121
+ 6.35468*x130 + 5.36946*x137 + 2.95567*x144 + 3.30049*x154
+ 4.33498*x160 + 5.91133*x165 + 2.70936*x169 =E= 0;
e150.. x209*x111 - 7.83251*x111 + x209*x112 - 7.83251*x112 + 7.43842*x124
+ 7.29064*x131 + 6.30542*x138 + 3.89163*x145 + 5.27094*x161
+ 6.84729*x166 =E= 0;
e151.. x200*x61 - 0.394089*x61 + x201*x71 - 0.394089*x71 + x203*x78 - 0.394089*
x78 + x205*x95 - 0.394089*x95 + x208*x104 - 0.394089*x104 + x210*x207 -
0.394089*x210 + 3.49754*x2 + 3.5468*x25 + 1.47783*x32 + 0.591133*x48
+ 3.7931*x54 =G= 0;
e152.. x200*x61 - 3.89163*x61 + x201*x71 - 3.89163*x71 + x203*x78 - 3.89163*x78
+ x205*x95 - 3.89163*x95 + x208*x104 - 3.89163*x104 + x210*x207 -
3.89163*x210 + 0.0492611*x25 - 2.0197*x32 - 2.9064*x48 + 0.295567*x54
=L= 0;
e153.. x200*x62 - 0.394089*x62 + x202*x73 - 0.394089*x73 + x205*x96 - 0.394089*
x96 + x208*x105 - 0.394089*x105 + x209*x111 - 0.394089*x111 + 1.133*x22
+ 3.5468*x26 + 3.7931*x55 =G= 0;
e154.. x200*x62 - 5.91133*x62 + x202*x73 - 5.91133*x73 + x205*x96 - 5.91133*x96
+ x208*x105 - 5.91133*x105 + x209*x111 - 5.91133*x111 - 4.38424*x22
- 1.97044*x26 - 1.72414*x55 =L= 0;
e155.. x200*x63 - 0.394089*x63 + x203*x79 - 0.394089*x79 + x204*x87 - 0.394089*
x87 + x205*x97 - 0.394089*x97 + x208*x106 - 0.394089*x106 + 3.49754*x3
+ 3.5468*x11 + 1.133*x23 + 3.5468*x27 + 3.20197*x37 + 0.591133*x49
=G= 0;
e156.. x200*x63 - 2.6601*x63 + x203*x79 - 2.6601*x79 + x204*x87 - 2.6601*x87 +
x205*x97 - 2.6601*x97 + x208*x106 - 2.6601*x106 + 1.23153*x3
+ 1.28079*x11 - 1.133*x23 + 1.28079*x27 + 0.935961*x37 - 1.67488*x49
=L= 0;
e157.. x200*x64 - 0.394089*x64 + x202*x74 - 0.394089*x74 + x203*x80 - 0.394089*
x80 + x204*x88 - 0.394089*x88 + x206*x101 - 0.394089*x101 + 3.49754*x4
+ 3.5468*x12 + 1.47783*x33 + 3.20197*x38 + 2.16749*x45 + 3.7931*x56
+ 0.591133*x212 =G= 0;
e158.. x200*x64 - 3.94089*x64 + x202*x74 - 3.94089*x74 + x203*x80 - 3.94089*x80
+ x204*x88 - 3.94089*x88 + x206*x101 - 3.94089*x101 - 0.0492611*x4
- 2.06897*x33 - 0.344828*x38 - 1.37931*x45 + 0.246305*x56
- 2.95567*x212 =L= 0;
e159.. x200*x65 - 0.394089*x65 + x203*x81 - 0.394089*x81 + x204*x89 - 0.394089*
x89 + x208*x107 - 0.394089*x107 + 3.5468*x13 + 0.147783*x19
+ 3.20197*x39 + 0.591133*x50 + 3.7931*x57 =G= 0;
e160.. x200*x65 - 4.48276*x65 + x203*x81 - 4.48276*x81 + x204*x89 - 4.48276*x89
+ x208*x107 - 4.48276*x107 - 0.541872*x13 - 4.08867*x15 - 3.94089*x19
- 0.8867*x39 - 3.49754*x50 - 0.295567*x57 =L= 0;
e161.. x200*x66 - 0.394089*x66 + x203*x82 - 0.394089*x82 + x204*x90 - 0.394089*
x90 + x207*x103 - 0.394089*x103 + 3.5468*x28 + 1.47783*x34 + 3.20197*x40
+ 2.16749*x46 + 0.591133*x51 + 3.7931*x213 =G= 0;
e162.. x200*x66 - 10*x66 + x203*x82 - 10*x82 + x204*x90 - 10*x90 + x207*x103 -
10*x103 - 6.05911*x28 - 8.12808*x34 - 6.40394*x40 - 7.43842*x46
- 9.01478*x51 - 5.81281*x213 =L= 0;
e163.. x200*x67 - 0.394089*x67 + x202*x75 - 0.394089*x75 + x203*x83 - 0.394089*
x83 + x204*x91 - 0.394089*x91 + x205*x98 - 0.394089*x98 + x206*x102 -
0.394089*x102 + x208*x108 - 0.394089*x108 + 3.5468*x29 + 3.20197*x41
+ 3.7931*x58 =G= 0;
e164.. x200*x67 - 4.03941*x67 + x202*x75 - 4.03941*x75 + x203*x83 - 4.03941*x83
+ x204*x91 - 4.03941*x91 + x205*x98 - 4.03941*x98 + x206*x102 - 4.03941
*x102 + x208*x108 - 4.03941*x108 - 3.64532*x16 - 0.0985222*x29
- 0.44335*x41 + 0.147783*x58 =L= 0;
e165.. x200*x68 - 0.394089*x68 + x202*x76 - 0.394089*x76 + x203*x84 - 0.394089*
x84 + x204*x92 - 0.394089*x92 + 2.61084*x7 + 0.147783*x20 + 3.5468*x30
+ 3.20197*x42 + 2.16749*x47 =G= 0;
e166.. x200*x68 - 5.5665*x68 + x202*x76 - 5.5665*x76 + x203*x84 - 5.5665*x84 +
x204*x92 - 5.5665*x92 - 2.56158*x7 - 5.02463*x20 - 1.62562*x30
- 1.97044*x42 - 3.00493*x47 =L= 0;
e167.. x202*x77 - 0.394089*x77 + x203*x85 - 0.394089*x85 + x204*x93 - 0.394089*
x93 + x205*x99 - 0.394089*x99 + x208*x109 - 0.394089*x109 + 3.49754*x5
+ 2.61084*x8 + 0.147783*x21 + 3.20197*x43 + 0.591133*x52 + 3.7931*x59
=G= 0;
e168.. x202*x77 - 5.27094*x77 + x203*x85 - 5.27094*x85 + x204*x93 - 5.27094*x93
+ x205*x99 - 5.27094*x99 + x208*x109 - 5.27094*x109 - 1.37931*x5
- 2.26601*x8 - 4.87685*x17 - 4.72906*x21 - 1.67488*x43 - 4.28571*x52
- 1.08374*x59 =L= 0;
e169.. x200*x69 - 0.394089*x69 + x209*x112 - 0.394089*x112 + 3.49754*x6
+ 2.61084*x9 + 3.5468*x14 + 1.133*x24 + 1.47783*x35 + 0.591133*x53
+ 3.7931*x60 + 0.147783*x211 =G= 0;
e170.. x200*x69 - 3.84236*x69 + x209*x112 - 3.84236*x112 + 0.0492611*x6
- 0.837438*x9 + 0.0985222*x14 - 2.31527*x24 - 1.97044*x35 - 2.85714*x53
+ 0.344828*x60 - 3.30049*x211 =L= 0;
e171.. x200*x70 - 0.394089*x70 + x201*x72 - 0.394089*x72 + x203*x86 - 0.394089*
x86 + x204*x94 - 0.394089*x94 + x205*x100 - 0.394089*x100 + x208*x110 -
0.394089*x110 + 2.61084*x10 + 3.5468*x31 + 1.47783*x36 + 3.20197*x44
=G= 0;
e172.. x200*x70 - 7.0936*x70 + x201*x72 - 7.0936*x72 + x203*x86 - 7.0936*x86 +
x204*x94 - 7.0936*x94 + x205*x100 - 7.0936*x100 + x208*x110 - 7.0936*
x110 - 4.08867*x10 - 6.69951*x18 - 3.15271*x31 - 5.22167*x36
- 3.49754*x44 =L= 0;
* set non-default bounds
x2.up = 0.0421941;
x3.up = 0.0632911;
x4.up = 1.81435;
x5.up = 0.400844;
x6.up = 0.843882;
x7.up = 1.54008;
x8.up = 0.400844;
x9.up = 0.843882;
x10.up = 0.464135;
x11.up = 0.0632911;
x12.up = 1.81435;
x13.up = 0.970464;
x14.up = 0.843882;
x15.up = 0.970464;
x16.up = 1.49789;
x17.up = 0.400844;
x18.up = 0.464135;
x19.up = 0.970464;
x20.up = 1.54008;
x21.up = 0.400844;
x22.up = 1.81435;
x23.up = 0.0632911;
x24.up = 0.843882;
x25.up = 0.0421941;
x26.up = 1.81435;
x27.up = 0.0632911;
x28.up = 0.548523;
x29.up = 1.49789;
x30.up = 1.54008;
x31.up = 0.464135;
x32.up = 0.0421941;
x33.up = 1.81435;
x34.up = 0.548523;
x35.up = 0.843882;
x36.up = 0.464135;
x37.up = 0.0632911;
x38.up = 1.81435;
x39.up = 0.970464;
x40.up = 0.548523;
x41.up = 1.49789;
x42.up = 1.54008;
x43.up = 0.400844;
x44.up = 0.464135;
x45.up = 1.81435;
x46.up = 0.548523;
x47.up = 1.54008;
x48.up = 0.0421941;
x49.up = 0.0632911;
x50.up = 0.970464;
x51.up = 0.548523;
x52.up = 0.400844;
x53.up = 0.843882;
x54.up = 0.0421941;
x55.up = 1.81435;
x56.up = 1.81435;
x57.up = 0.970464;
x58.up = 1.49789;
x59.up = 0.400844;
x60.up = 0.843882;
x61.up = 0.0421941;
x62.up = 1.81435;
x63.up = 0.0632911;
x64.up = 1.81435;
x65.up = 0.970464;
x66.up = 0.548523;
x67.up = 1.49789;
x68.up = 1.54008;
x69.up = 0.843882;
x70.up = 0.464135;
x71.up = 0.0421941;
x72.up = 0.464135;
x73.up = 1.81435;
x74.up = 1.81435;
x75.up = 1.49789;
x76.up = 1.54008;
x77.up = 0.400844;
x78.up = 0.0421941;
x79.up = 0.0632911;
x80.up = 1.81435;
x81.up = 0.970464;
x82.up = 0.548523;
x83.up = 1.49789;
x84.up = 1.54008;
x85.up = 0.400844;
x86.up = 0.464135;
x87.up = 0.0632911;
x88.up = 1.81435;
x89.up = 0.970464;
x90.up = 0.548523;
x91.up = 1.49789;
x92.up = 1.54008;
x93.up = 0.400844;
x94.up = 0.464135;
x95.up = 0.0421941;
x96.up = 1.81435;
x97.up = 0.0632911;
x98.up = 1.49789;
x99.up = 0.400844;
x100.up = 0.464135;
x101.up = 1.81435;
x102.up = 1.49789;
x103.up = 0.548523;
x104.up = 0.0421941;
x105.up = 1.81435;
x106.up = 0.0632911;
x107.up = 0.970464;
x108.up = 1.49789;
x109.up = 0.400844;
x110.up = 0.464135;
x111.up = 1.81435;
x112.up = 0.843882;
x113.up = 10;
x114.up = 10;
x115.up = 10;
x116.up = 10;
x117.up = 10;
x118.up = 10;
x119.up = 10;
x120.up = 10;
x121.up = 10;
x122.up = 10;
x123.up = 10;
x124.up = 10;
x125.up = 10;
x126.up = 10;
x127.up = 10;
x128.up = 10;
x129.up = 10;
x130.up = 10;
x131.up = 10;
x132.up = 10;
x133.up = 10;
x134.up = 10;
x135.up = 10;
x136.up = 10;
x137.up = 10;
x138.up = 10;
x139.up = 10;
x140.up = 10;
x141.up = 10;
x142.up = 10;
x143.up = 10;
x144.up = 10;
x145.up = 10;
x146.up = 10;
x147.up = 10;
x148.up = 10;
x149.up = 10;
x150.up = 10;
x151.up = 10;
x152.up = 10;
x153.up = 10;
x154.up = 10;
x155.up = 10;
x156.up = 10;
x157.up = 10;
x158.up = 10;
x159.up = 10;
x160.up = 10;
x161.up = 10;
x162.up = 10;
x163.up = 10;
x164.up = 10;
x165.up = 10;
x166.up = 10;
x167.up = 10;
x168.up = 10;
x169.up = 10;
x170.lo = 0.565217; x170.up = 4.26087;
x171.lo = 2.69565; x171.up = 4.26087;
x172.lo = 0.565217; x172.up = 4.26087;
x173.lo = 0.565217; x173.up = 4.26087;
x174.lo = 0.695652; x174.up = 4.26087;
x175.lo = 0.565217; x175.up = 3.47826;
x176.lo = 1.34783; x176.up = 3.56522;
x177.lo = 0.565217; x177.up = 4.26087;
x178.lo = 0.565217; x178.up = 4.26087;
x179.lo = 0.565217; x179.up = 4.26087;
x180.lo = 0.160643; x180.up = 3.65462;
x181.lo = 0.160643; x181.up = 3.65462;
x182.lo = 0.160643; x182.up = 2.57028;
x183.lo = 0.160643; x183.up = 3.65462;
x184.lo = 0.160643; x184.up = 2.85141;
x185.lo = 0.281124; x185.up = 2.85141;
x186.lo = 0.843373; x186.up = 3.65462;
x187.lo = 0.281124; x187.up = 3.65462;
x188.lo = 0.160643; x188.up = 3.65462;
x189.lo = 0.160643; x189.up = 3.65462;
x190.lo = 0.138249; x190.up = 4.10138;
x191.lo = 0.138249; x191.up = 3.64055;
x192.lo = 2.35023; x192.up = 3.64055;
x193.lo = 2.35023; x193.up = 4.10138;
x194.lo = 0.230415; x194.up = 4.10138;
x195.lo = 2.39631; x195.up = 4.10138;
x196.lo = 1.05991; x196.up = 3.54839;
x197.lo = 1.05991; x197.up = 3.64055;
x198.lo = 0.230415; x198.up = 4.0553;
x199.lo = 0.138249; x199.up = 3.64055;
x200.lo = 0.394089; x200.up = 4.18719;
x201.lo = 0.394089; x201.up = 3.94089;
x202.lo = 0.541872; x202.up = 3.94089;
x203.lo = 0.541872; x203.up = 3.94089;
x204.lo = 1.52709; x204.up = 4.18719;
x205.lo = 1.87192; x205.up = 3.94089;
x206.lo = 0.985222; x206.up = 3.89163;
x207.lo = 0.541872; x207.up = 3.94089;
x208.lo = 0.541872; x208.up = 4.18719;
x209.lo = 0.394089; x209.up = 3.94089;
x210.up = 0.0421941;
x211.up = 0.843882;
x212.up = 1.81435;
x213.up = 0.548523;
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: 2024-12-17 Git hash: 8eaceb91