QPLIB
A Library of Quadratic Programming Instances
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| Formats | gms lp mod qplib |
| Problem type probtype | LMQ |
| Solution point objective value solobjvalue | 45.29656579 (gdx, sol) |
| Solution point infeasibility solinfeasibility | 1.1102e-15 |
| Donor donor | Stefan Vigerske |
| #Variables nvars | 191 |
| #Binary Variables nbinvars | 72 |
| #Integer Variables nintvars | 0 |
| #Bounded non-binary Variables nboundedvars | 76 |
| #Variables with only one bound nsingleboundedvars | 0 |
| #Nonlinear Variables nnlvars | 76 |
| #Nonlinear Binary Variables nnlbinvars | 0 |
| #Nonlinear Integer Variables nnlintvars | 0 |
| Objective Sense objsense | max |
| Objective type objtype | linear |
| Objective curvature objcurvature | linear |
| #Negative eigenvalues in objective matrix nobjquadnegev | |
| #Positive eigenvalues in objective matrix nobjquadposev | |
| #Nonzeros in Objective nobjnz | 142 |
| #Nonlinear Nonzeros in Objective nobjnlnz | 0 |
| #Quadratic Terms in Objective nobjquadnz | 0 |
| #Square Terms in Objective nobjquaddiagnz | 0 |
| #Constraints ncons | 427 |
| #Linear Constraints nlincons | 403 |
| #Quadratic Constraints nquadcons | 24 |
| #Diagonal Quadratic Constraints ndiagquadcons | 0 |
| Constraints curvature conscurvature | indefinite |
| #Convex Nonlinear Constraints nconvexnlcons | 0 |
| #Concave Nonlinear Constraints nconcavenlcons | 0 |
| #Indefinite Nonlinear Constraints nindefinitenlcons | 24 |
| #Nonzeros in Jacobian njacobiannz | 1271 |
| #Nonlinear Nonzeros in Jacobian njacobiannlnz | 256 |
| #Nonzeros in (Upper-Left) Hessian of Lagrangian nlaghessiannz | 208 |
| #Nonzeros in Diagonal of Hessian of Lagrangian nlaghessiandiagnz | 0 |
| #Blocks in Hessian of Lagrangian nlaghessianblocks | 12 |
| Minimal blocksize in Hessian of Lagrangian laghessianminblocksize | 3 |
| Maximal blocksize in Hessian of Lagrangian laghessianmaxblocksize | 8 |
| Average blocksize in Hessian of Lagrangian laghessianavgblocksize | 6.333333 |
| Sparsity Jacobian |  |
| Sparsity Lag. Hessian |  |
QPLIB_3512.gms
$offlisting
*
* Equation counts
* Total E G L N X C B
* 428 48 32 348 0 0 0 0
*
* Variable counts
* x b i s1s s2s sc si
* Total cont binary integer sos1 sos2 scont sint
* 192 120 72 0 0 0 0 0
* FX 0 0 0 0 0 0 0 0
*
* Nonzero counts
* Total const NL DLL
* 1414 1158 256 0
*
* Solve m using MIQCP maximizing 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,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,x152,x153,x154
,x155,x156,x157,x158,x159,x160,x161,x162,x163,x164,x165,x166,x167
,x168,x169,x170,x171,x172,x173,x174,b175,b176,x177,x178,x179,x180
,x181,x182,x183,x184,x185,x186,x187,x188,x189,x190,x191,x192;
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,x152,x153,x154
,x155,x156,x157,x158,x159,x160,x161,x162,x163,x164,x165,x166,x167
,x168,x169,x170,x171,x172,x173,x174,x177,x178,x179,x180,x181,x182
,x183,x184,x185,x186,x187,x188,x189,x190,x191,x192;
Binary Variables 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,b175,b176;
Equations e1,e2,e3,e4,e5,e6,e7,e8,e9,e10,e11,e12,e13,e14,e15,e16,e17,e18,e19
,e20,e21,e22,e23,e24,e25,e26,e27,e28,e29,e30,e31,e32,e33,e34,e35,e36
,e37,e38,e39,e40,e41,e42,e43,e44,e45,e46,e47,e48,e49,e50,e51,e52,e53
,e54,e55,e56,e57,e58,e59,e60,e61,e62,e63,e64,e65,e66,e67,e68,e69,e70
,e71,e72,e73,e74,e75,e76,e77,e78,e79,e80,e81,e82,e83,e84,e85,e86,e87
,e88,e89,e90,e91,e92,e93,e94,e95,e96,e97,e98,e99,e100,e101,e102,e103
,e104,e105,e106,e107,e108,e109,e110,e111,e112,e113,e114,e115,e116
,e117,e118,e119,e120,e121,e122,e123,e124,e125,e126,e127,e128,e129
,e130,e131,e132,e133,e134,e135,e136,e137,e138,e139,e140,e141,e142
,e143,e144,e145,e146,e147,e148,e149,e150,e151,e152,e153,e154,e155
,e156,e157,e158,e159,e160,e161,e162,e163,e164,e165,e166,e167,e168
,e169,e170,e171,e172,e173,e174,e175,e176,e177,e178,e179,e180,e181
,e182,e183,e184,e185,e186,e187,e188,e189,e190,e191,e192,e193,e194
,e195,e196,e197,e198,e199,e200,e201,e202,e203,e204,e205,e206,e207
,e208,e209,e210,e211,e212,e213,e214,e215,e216,e217,e218,e219,e220
,e221,e222,e223,e224,e225,e226,e227,e228,e229,e230,e231,e232,e233
,e234,e235,e236,e237,e238,e239,e240,e241,e242,e243,e244,e245,e246
,e247,e248,e249,e250,e251,e252,e253,e254,e255,e256,e257,e258,e259
,e260,e261,e262,e263,e264,e265,e266,e267,e268,e269,e270,e271,e272
,e273,e274,e275,e276,e277,e278,e279,e280,e281,e282,e283,e284,e285
,e286,e287,e288,e289,e290,e291,e292,e293,e294,e295,e296,e297,e298
,e299,e300,e301,e302,e303,e304,e305,e306,e307,e308,e309,e310,e311
,e312,e313,e314,e315,e316,e317,e318,e319,e320,e321,e322,e323,e324
,e325,e326,e327,e328,e329,e330,e331,e332,e333,e334,e335,e336,e337
,e338,e339,e340,e341,e342,e343,e344,e345,e346,e347,e348,e349,e350
,e351,e352,e353,e354,e355,e356,e357,e358,e359,e360,e361,e362,e363
,e364,e365,e366,e367,e368,e369,e370,e371,e372,e373,e374,e375,e376
,e377,e378,e379,e380,e381,e382,e383,e384,e385,e386,e387,e388,e389
,e390,e391,e392,e393,e394,e395,e396,e397,e398,e399,e400,e401,e402
,e403,e404,e405,e406,e407,e408,e409,e410,e411,e412,e413,e414,e415
,e416,e417,e418,e419,e420,e421,e422,e423,e424,e425,e426,e427,e428;
e1.. - objvar - 0.45*x2 - 0.45*x3 - 0.45*x4 - 0.67*x5 - 0.67*x6 - 0.67*x7
- 1.03*x8 - 1.03*x9 - 1.03*x10 - 1.75*x11 - 1.75*x12 - 1.75*x13
- 1.57*x14 - 1.57*x15 - 1.57*x16 - 1.05*x17 - 1.05*x18 - 1.05*x19
- 0.13*x20 - 0.13*x21 - 0.13*x22 - 0.47*x23 - 0.47*x24 - 0.47*x25
- 0.34*x26 - 0.34*x27 - 0.34*x28 + 8.81*x29 + 8.81*x30 + 9.07*x31
+ 9.07*x32 - 0.6*x33 - 0.6*x34 - 0.6*x35 - 0.65*x36 - 0.65*x37 - 0.65*x38
- 0.75*x39 - 0.75*x40 - 0.75*x41 + 9.52*x42 + 9.52*x43 + 9.52*x44
+ 8.69*x45 + 8.69*x46 - 0.83*x47 - 0.83*x48 - 0.83*x49 - x50 - x51 - x52
- 0.44*x53 - 0.44*x54 - 0.44*x55 + 8.64*x56 + 8.64*x57 + 8.64*x58
+ 8.83*x59 + 8.83*x60 - 0.87*x61 - 0.87*x62 - 0.87*x63 - 0.4*x64
- 0.4*x65 - 0.4*x66 - 0.8*x67 - 0.8*x68 - 0.8*x69 + 8.69*x70 + 8.69*x71
+ 9.34*x72 + 9.34*x73 - 0.2*b82 - 0.2*b83 - 0.2*b84 - 0.62*b85 - 0.62*b86
- 0.62*b87 - 0.35*b88 - 0.35*b89 - 0.35*b90 - 0.76*b91 - 0.76*b92
- 0.76*b93 - 0.38*b94 - 0.38*b95 - 0.38*b96 - 0.08*b97 - 0.08*b98
- 0.08*b99 - 0.93*b100 - 0.93*b101 - 0.93*b102 - 0.57*b103 - 0.57*b104
- 0.57*b105 - 0.01*b106 - 0.01*b107 - 0.01*b108 - 0.16*b109 - 0.16*b110
- 0.31*b111 - 0.31*b112 - 0.17*b113 - 0.17*b114 - 0.17*b115 - 0.26*b116
- 0.26*b117 - 0.26*b118 - 0.69*b119 - 0.69*b120 - 0.69*b121 - 0.45*b122
- 0.45*b123 - 0.45*b124 - 0.23*b125 - 0.23*b126 - 0.15*b127 - 0.15*b128
- 0.15*b129 - 0.54*b130 - 0.54*b131 - 0.54*b132 - 0.08*b133 - 0.08*b134
- 0.08*b135 - 0.11*b136 - 0.11*b137 - 0.11*b138 - 0.82*b139 - 0.82*b140
- 0.82*b141 - 0.08*b142 - 0.08*b143 - 0.08*b144 - 0.26*b145 - 0.26*b146
- 0.26*b147 - 0.43*b148 - 0.43*b149 - 0.18*b150 - 0.18*b151 =E= 0;
e2.. x2 + x5 + x8 + x152 =E= 1.9;
e3.. x11 + x14 + x17 + x153 =E= 1.8;
e4.. - x11 + x20 + x23 + x26 - x33 - x47 - x61 + x154 =E= 0.3;
e5.. - x2 - x14 - x20 + x33 + x36 + x39 + x42 - x50 - x64 + x155 =E= 1.8;
e6.. - x5 - x17 - x23 - x36 + x47 + x50 + x53 + x56 - x67 + x156 =E= 1.3;
e7.. - x8 - x26 - x39 - x53 + x61 + x64 + x67 + x157 =E= 0.2;
e8.. - x42 - x56 + x158 =E= -0.35;
e9.. x3 + x6 + x9 - x152 + x159 =E= 0.1;
e10.. x4 + x7 + x10 - x159 + x160 =E= 0.7;
e11.. x12 + x15 + x18 - x153 + x161 =E= 0.8;
e12.. x13 + x16 + x19 - x161 + x162 =E= 0.3;
e13.. - x12 + x21 + x24 + x27 + x29 + x31 - x34 - x48 - x62 - x154 + x163
=E= 0;
e14.. - x13 + x22 + x25 + x28 + x30 + x32 - x35 - x49 - x63 - x163 + x164
=E= 0;
e15.. - x3 - x15 - x21 + x34 + x37 + x40 + x43 + x45 - x51 - x65 - x155 + x165
=E= 0;
e16.. - x4 - x16 - x22 + x35 + x38 + x41 + x44 + x46 - x52 - x66 - x165 + x166
=E= 0;
e17.. - x6 - x18 - x24 - x37 + x48 + x51 + x54 + x57 + x59 - x68 - x156 + x167
=E= 0;
e18.. - x7 - x19 - x25 - x38 + x49 + x52 + x55 + x58 + x60 - x69 - x167 + x168
=E= 0;
e19.. - x9 - x27 - x40 - x54 + x62 + x65 + x68 + x70 + x72 - x157 + x169 =E= 0
;
e20.. - x10 - x28 - x41 - x55 + x63 + x66 + x69 + x71 + x73 - x169 + x170
=E= 0;
e21.. - x29 - x43 - x57 - x70 - x158 + x171 =E= -0.44;
e22.. - x30 - x44 - x58 - x71 - x171 + x172 =E= -0.77;
e23.. - x31 - x45 - x59 - x72 + x173 =E= 0.69;
e24.. - x32 - x46 - x60 - x73 - x173 + x174 =E= -0.8;
e25.. x2 - b82 =L= 0;
e26.. x3 - b83 =L= 0;
e27.. x4 - b84 =L= 0;
e28.. x5 - b85 =L= 0;
e29.. x6 - b86 =L= 0;
e30.. x7 - b87 =L= 0;
e31.. x8 - b88 =L= 0;
e32.. x9 - b89 =L= 0;
e33.. x10 - b90 =L= 0;
e34.. x11 - b91 =L= 0;
e35.. x12 - b92 =L= 0;
e36.. x13 - b93 =L= 0;
e37.. x14 - b94 =L= 0;
e38.. x15 - b95 =L= 0;
e39.. x16 - b96 =L= 0;
e40.. x17 - b97 =L= 0;
e41.. x18 - b98 =L= 0;
e42.. x19 - b99 =L= 0;
e43.. x20 - b100 =L= 0;
e44.. x21 - b101 =L= 0;
e45.. x22 - b102 =L= 0;
e46.. x23 - b103 =L= 0;
e47.. x24 - b104 =L= 0;
e48.. x25 - b105 =L= 0;
e49.. x26 - b106 =L= 0;
e50.. x27 - b107 =L= 0;
e51.. x28 - b108 =L= 0;
e52.. x29 - b109 =L= 0;
e53.. x30 - b110 =L= 0;
e54.. x31 - b111 =L= 0;
e55.. x32 - b112 =L= 0;
e56.. x33 - b113 =L= 0;
e57.. x34 - b114 =L= 0;
e58.. x35 - b115 =L= 0;
e59.. x36 - b116 =L= 0;
e60.. x37 - b117 =L= 0;
e61.. x38 - b118 =L= 0;
e62.. x39 - b119 =L= 0;
e63.. x40 - b120 =L= 0;
e64.. x41 - b121 =L= 0;
e65.. x42 - b122 =L= 0;
e66.. x43 - b123 =L= 0;
e67.. x44 - b124 =L= 0;
e68.. x45 - b125 =L= 0;
e69.. x46 - b126 =L= 0;
e70.. x47 - b127 =L= 0;
e71.. x48 - b128 =L= 0;
e72.. x49 - b129 =L= 0;
e73.. x50 - b130 =L= 0;
e74.. x51 - b131 =L= 0;
e75.. x52 - b132 =L= 0;
e76.. x53 - b133 =L= 0;
e77.. x54 - b134 =L= 0;
e78.. x55 - b135 =L= 0;
e79.. x56 - b136 =L= 0;
e80.. x57 - b137 =L= 0;
e81.. x58 - b138 =L= 0;
e82.. x59 - b175 =L= 0;
e83.. x60 - b176 =L= 0;
e84.. x61 - b139 =L= 0;
e85.. x62 - b140 =L= 0;
e86.. x63 - b141 =L= 0;
e87.. x64 - b142 =L= 0;
e88.. x65 - b143 =L= 0;
e89.. x66 - b144 =L= 0;
e90.. x67 - b145 =L= 0;
e91.. x68 - b146 =L= 0;
e92.. x69 - b147 =L= 0;
e93.. x70 - b148 =L= 0;
e94.. x71 - b149 =L= 0;
e95.. x72 - b150 =L= 0;
e96.. x73 - b151 =L= 0;
e97.. b109 - x177 =L= 0.3;
e98.. b110 - x178 =L= 0.3;
e99.. b111 - x177 =L= 0.2;
e100.. b112 - x178 =L= 0.2;
e101.. b123 - x179 =L= 0.3;
e102.. b124 - x180 =L= 0.3;
e103.. b125 - x179 =L= 0.2;
e104.. b126 - x180 =L= 0.2;
e105.. b137 - x181 =L= 0.3;
e106.. b138 - x182 =L= 0.3;
e107.. b175 - x181 =L= 0.2;
e108.. b176 - x182 =L= 0.2;
e109.. b148 - x183 =L= 0.3;
e110.. b149 - x184 =L= 0.3;
e111.. b150 - x183 =L= 0.2;
e112.. b151 - x184 =L= 0.2;
e113.. b109 - x185 =L= 0.5;
e114.. b110 - x186 =L= 0.5;
e115.. b111 - x185 =L= 0.9;
e116.. b112 - x186 =L= 0.9;
e117.. b123 - x187 =L= 0.5;
e118.. b124 - x188 =L= 0.5;
e119.. b125 - x187 =L= 0.9;
e120.. b126 - x188 =L= 0.9;
e121.. b137 - x189 =L= 0.5;
e122.. b138 - x190 =L= 0.5;
e123.. b175 - x189 =L= 0.9;
e124.. b176 - x190 =L= 0.9;
e125.. b148 - x191 =L= 0.5;
e126.. b149 - x192 =L= 0.5;
e127.. b150 - x191 =L= 0.9;
e128.. b151 - x192 =L= 0.9;
e129.. - b109 - x177 =G= -2;
e130.. - b110 - x178 =G= -2;
e131.. - b111 - x177 =G= -2;
e132.. - b112 - x178 =G= -2;
e133.. - b123 - x179 =G= -2;
e134.. - b124 - x180 =G= -2;
e135.. - b125 - x179 =G= -2;
e136.. - b126 - x180 =G= -2;
e137.. - b137 - x181 =G= -2;
e138.. - b138 - x182 =G= -2;
e139.. - b175 - x181 =G= -2;
e140.. - b176 - x182 =G= -2;
e141.. - b148 - x183 =G= -2;
e142.. - b149 - x184 =G= -2;
e143.. - b150 - x183 =G= -2;
e144.. - b151 - x184 =G= -2;
e145.. - b109 - x185 =G= -1.9;
e146.. - b110 - x186 =G= -1.9;
e147.. - b111 - x185 =G= -1.7;
e148.. - b112 - x186 =G= -1.7;
e149.. - b123 - x187 =G= -1.9;
e150.. - b124 - x188 =G= -1.9;
e151.. - b125 - x187 =G= -1.7;
e152.. - b126 - x188 =G= -1.7;
e153.. - b137 - x189 =G= -1.9;
e154.. - b138 - x190 =G= -1.9;
e155.. - b175 - x189 =G= -1.7;
e156.. - b176 - x190 =G= -1.7;
e157.. - b148 - x191 =G= -1.9;
e158.. - b149 - x192 =G= -1.9;
e159.. - b150 - x191 =G= -1.7;
e160.. - b151 - x192 =G= -1.7;
e161.. b91 + b100 =L= 1;
e162.. b92 + b101 =L= 1;
e163.. b93 + b102 =L= 1;
e164.. b91 + b103 =L= 1;
e165.. b92 + b104 =L= 1;
e166.. b93 + b105 =L= 1;
e167.. b91 + b106 =L= 1;
e168.. b92 + b107 =L= 1;
e169.. b93 + b108 =L= 1;
e170.. b92 + b109 =L= 1;
e171.. b93 + b110 =L= 1;
e172.. b92 + b111 =L= 1;
e173.. b93 + b112 =L= 1;
e174.. b100 + b113 =L= 1;
e175.. b101 + b114 =L= 1;
e176.. b102 + b115 =L= 1;
e177.. b103 + b113 =L= 1;
e178.. b104 + b114 =L= 1;
e179.. b105 + b115 =L= 1;
e180.. b106 + b113 =L= 1;
e181.. b107 + b114 =L= 1;
e182.. b108 + b115 =L= 1;
e183.. b109 + b114 =L= 1;
e184.. b110 + b115 =L= 1;
e185.. b111 + b114 =L= 1;
e186.. b112 + b115 =L= 1;
e187.. b100 + b127 =L= 1;
e188.. b101 + b128 =L= 1;
e189.. b102 + b129 =L= 1;
e190.. b103 + b127 =L= 1;
e191.. b104 + b128 =L= 1;
e192.. b105 + b129 =L= 1;
e193.. b106 + b127 =L= 1;
e194.. b107 + b128 =L= 1;
e195.. b108 + b129 =L= 1;
e196.. b109 + b128 =L= 1;
e197.. b110 + b129 =L= 1;
e198.. b111 + b128 =L= 1;
e199.. b112 + b129 =L= 1;
e200.. b100 + b139 =L= 1;
e201.. b101 + b140 =L= 1;
e202.. b102 + b141 =L= 1;
e203.. b103 + b139 =L= 1;
e204.. b104 + b140 =L= 1;
e205.. b105 + b141 =L= 1;
e206.. b106 + b139 =L= 1;
e207.. b107 + b140 =L= 1;
e208.. b108 + b141 =L= 1;
e209.. b109 + b140 =L= 1;
e210.. b110 + b141 =L= 1;
e211.. b111 + b140 =L= 1;
e212.. b112 + b141 =L= 1;
e213.. b82 + b113 =L= 1;
e214.. b83 + b114 =L= 1;
e215.. b84 + b115 =L= 1;
e216.. b82 + b116 =L= 1;
e217.. b83 + b117 =L= 1;
e218.. b84 + b118 =L= 1;
e219.. b82 + b119 =L= 1;
e220.. b83 + b120 =L= 1;
e221.. b84 + b121 =L= 1;
e222.. b82 + b122 =L= 1;
e223.. b83 + b123 =L= 1;
e224.. b84 + b124 =L= 1;
e225.. b83 + b125 =L= 1;
e226.. b84 + b126 =L= 1;
e227.. b94 + b113 =L= 1;
e228.. b95 + b114 =L= 1;
e229.. b96 + b115 =L= 1;
e230.. b94 + b116 =L= 1;
e231.. b95 + b117 =L= 1;
e232.. b96 + b118 =L= 1;
e233.. b94 + b119 =L= 1;
e234.. b95 + b120 =L= 1;
e235.. b96 + b121 =L= 1;
e236.. b94 + b122 =L= 1;
e237.. b95 + b123 =L= 1;
e238.. b96 + b124 =L= 1;
e239.. b95 + b125 =L= 1;
e240.. b96 + b126 =L= 1;
e241.. b100 + b113 =L= 1;
e242.. b101 + b114 =L= 1;
e243.. b102 + b115 =L= 1;
e244.. b100 + b116 =L= 1;
e245.. b101 + b117 =L= 1;
e246.. b102 + b118 =L= 1;
e247.. b100 + b119 =L= 1;
e248.. b101 + b120 =L= 1;
e249.. b102 + b121 =L= 1;
e250.. b100 + b122 =L= 1;
e251.. b101 + b123 =L= 1;
e252.. b102 + b124 =L= 1;
e253.. b101 + b125 =L= 1;
e254.. b102 + b126 =L= 1;
e255.. b113 + b130 =L= 1;
e256.. b114 + b131 =L= 1;
e257.. b115 + b132 =L= 1;
e258.. b116 + b130 =L= 1;
e259.. b117 + b131 =L= 1;
e260.. b118 + b132 =L= 1;
e261.. b119 + b130 =L= 1;
e262.. b120 + b131 =L= 1;
e263.. b121 + b132 =L= 1;
e264.. b122 + b130 =L= 1;
e265.. b123 + b131 =L= 1;
e266.. b124 + b132 =L= 1;
e267.. b125 + b131 =L= 1;
e268.. b126 + b132 =L= 1;
e269.. b113 + b142 =L= 1;
e270.. b114 + b143 =L= 1;
e271.. b115 + b144 =L= 1;
e272.. b116 + b142 =L= 1;
e273.. b117 + b143 =L= 1;
e274.. b118 + b144 =L= 1;
e275.. b119 + b142 =L= 1;
e276.. b120 + b143 =L= 1;
e277.. b121 + b144 =L= 1;
e278.. b122 + b142 =L= 1;
e279.. b123 + b143 =L= 1;
e280.. b124 + b144 =L= 1;
e281.. b125 + b143 =L= 1;
e282.. b126 + b144 =L= 1;
e283.. b85 + b127 =L= 1;
e284.. b86 + b128 =L= 1;
e285.. b87 + b129 =L= 1;
e286.. b85 + b130 =L= 1;
e287.. b86 + b131 =L= 1;
e288.. b87 + b132 =L= 1;
e289.. b85 + b133 =L= 1;
e290.. b86 + b134 =L= 1;
e291.. b87 + b135 =L= 1;
e292.. b85 + b136 =L= 1;
e293.. b86 + b137 =L= 1;
e294.. b87 + b138 =L= 1;
e295.. b86 + b175 =L= 1;
e296.. b87 + b176 =L= 1;
e297.. b97 + b127 =L= 1;
e298.. b98 + b128 =L= 1;
e299.. b99 + b129 =L= 1;
e300.. b97 + b130 =L= 1;
e301.. b98 + b131 =L= 1;
e302.. b99 + b132 =L= 1;
e303.. b97 + b133 =L= 1;
e304.. b98 + b134 =L= 1;
e305.. b99 + b135 =L= 1;
e306.. b97 + b136 =L= 1;
e307.. b98 + b137 =L= 1;
e308.. b99 + b138 =L= 1;
e309.. b98 + b175 =L= 1;
e310.. b99 + b176 =L= 1;
e311.. b103 + b127 =L= 1;
e312.. b104 + b128 =L= 1;
e313.. b105 + b129 =L= 1;
e314.. b103 + b130 =L= 1;
e315.. b104 + b131 =L= 1;
e316.. b105 + b132 =L= 1;
e317.. b103 + b133 =L= 1;
e318.. b104 + b134 =L= 1;
e319.. b105 + b135 =L= 1;
e320.. b103 + b136 =L= 1;
e321.. b104 + b137 =L= 1;
e322.. b105 + b138 =L= 1;
e323.. b104 + b175 =L= 1;
e324.. b105 + b176 =L= 1;
e325.. b116 + b127 =L= 1;
e326.. b117 + b128 =L= 1;
e327.. b118 + b129 =L= 1;
e328.. b116 + b130 =L= 1;
e329.. b117 + b131 =L= 1;
e330.. b118 + b132 =L= 1;
e331.. b116 + b133 =L= 1;
e332.. b117 + b134 =L= 1;
e333.. b118 + b135 =L= 1;
e334.. b116 + b136 =L= 1;
e335.. b117 + b137 =L= 1;
e336.. b118 + b138 =L= 1;
e337.. b117 + b175 =L= 1;
e338.. b118 + b176 =L= 1;
e339.. b127 + b145 =L= 1;
e340.. b128 + b146 =L= 1;
e341.. b129 + b147 =L= 1;
e342.. b130 + b145 =L= 1;
e343.. b131 + b146 =L= 1;
e344.. b132 + b147 =L= 1;
e345.. b133 + b145 =L= 1;
e346.. b134 + b146 =L= 1;
e347.. b135 + b147 =L= 1;
e348.. b136 + b145 =L= 1;
e349.. b137 + b146 =L= 1;
e350.. b138 + b147 =L= 1;
e351.. b146 + b175 =L= 1;
e352.. b147 + b176 =L= 1;
e353.. b88 + b139 =L= 1;
e354.. b89 + b140 =L= 1;
e355.. b90 + b141 =L= 1;
e356.. b88 + b142 =L= 1;
e357.. b89 + b143 =L= 1;
e358.. b90 + b144 =L= 1;
e359.. b88 + b145 =L= 1;
e360.. b89 + b146 =L= 1;
e361.. b90 + b147 =L= 1;
e362.. b89 + b148 =L= 1;
e363.. b90 + b149 =L= 1;
e364.. b89 + b150 =L= 1;
e365.. b90 + b151 =L= 1;
e366.. b106 + b139 =L= 1;
e367.. b107 + b140 =L= 1;
e368.. b108 + b141 =L= 1;
e369.. b106 + b142 =L= 1;
e370.. b107 + b143 =L= 1;
e371.. b108 + b144 =L= 1;
e372.. b106 + b145 =L= 1;
e373.. b107 + b146 =L= 1;
e374.. b108 + b147 =L= 1;
e375.. b107 + b148 =L= 1;
e376.. b108 + b149 =L= 1;
e377.. b107 + b150 =L= 1;
e378.. b108 + b151 =L= 1;
e379.. b119 + b139 =L= 1;
e380.. b120 + b140 =L= 1;
e381.. b121 + b141 =L= 1;
e382.. b119 + b142 =L= 1;
e383.. b120 + b143 =L= 1;
e384.. b121 + b144 =L= 1;
e385.. b119 + b145 =L= 1;
e386.. b120 + b146 =L= 1;
e387.. b121 + b147 =L= 1;
e388.. b120 + b148 =L= 1;
e389.. b121 + b149 =L= 1;
e390.. b120 + b150 =L= 1;
e391.. b121 + b151 =L= 1;
e392.. b133 + b139 =L= 1;
e393.. b134 + b140 =L= 1;
e394.. b135 + b141 =L= 1;
e395.. b133 + b142 =L= 1;
e396.. b134 + b143 =L= 1;
e397.. b135 + b144 =L= 1;
e398.. b133 + b145 =L= 1;
e399.. b134 + b146 =L= 1;
e400.. b135 + b147 =L= 1;
e401.. b134 + b148 =L= 1;
e402.. b135 + b149 =L= 1;
e403.. b134 + b150 =L= 1;
e404.. b135 + b151 =L= 1;
e405.. x177*x154 - 0.9*x11 + 0.7*x20 + 0.7*x23 + 0.7*x26 - 0.8*x33 - 0.7*x47
- 0.7*x61 =E= 0.21;
e406.. x179*x155 - 0.7*x2 - 0.9*x14 - 0.7*x20 + 0.8*x33 + 0.8*x36 + 0.8*x39
+ 0.8*x42 - 0.7*x50 - 0.7*x64 =E= 1.44;
e407.. x181*x156 - 0.7*x5 - 0.9*x17 - 0.7*x23 - 0.8*x36 + 0.7*x47 + 0.7*x50
+ 0.7*x53 + 0.7*x56 - 0.7*x67 =E= 0.91;
e408.. x183*x157 - 0.7*x8 - 0.7*x26 - 0.8*x39 - 0.7*x53 + 0.7*x61 + 0.7*x64
+ 0.7*x67 =E= 0.14;
e409.. x185*x154 - 0.9*x33 - 0.8*x47 - 0.4*x61 =E= 0;
e410.. x187*x155 - 0.2*x2 + 0.9*x33 + 0.9*x36 + 0.9*x39 + 0.9*x42 - 0.8*x50
- 0.4*x64 =E= 1.62;
e411.. x189*x156 - 0.2*x5 - 0.9*x36 + 0.8*x47 + 0.8*x50 + 0.8*x53 + 0.8*x56
- 0.4*x67 =E= 1.04;
e412.. x191*x157 - 0.2*x8 - 0.9*x39 - 0.8*x53 + 0.4*x61 + 0.4*x64 + 0.4*x67
=E= 0.08;
e413.. x177*x21 + x177*x24 + x177*x27 + x177*x29 + x177*x31 - x179*x34 - x181*
x48 - x183*x62 - x177*x154 + x178*x163 - 0.9*x12 =E= 0;
e414.. x178*x22 + x178*x25 + x178*x28 + x178*x30 + x178*x32 - x180*x35 - x182*
x49 - x184*x63 + x164*x74 - x178*x163 - 0.9*x13 =E= 0;
e415.. x179*x34 - x177*x21 + x179*x37 + x179*x40 + x179*x43 + x179*x45 - x181*
x51 - x183*x65 - x179*x155 + x180*x165 - 0.7*x3 - 0.9*x15 =E= 0;
e416.. x180*x35 - x178*x22 + x180*x38 + x180*x41 + x180*x44 + x180*x46 - x182*
x52 - x184*x66 + x166*x75 - x180*x165 - 0.7*x4 - 0.9*x16 =E= 0;
e417.. (-x177*x24) - x179*x37 + x181*x48 + x181*x51 + x181*x54 + x181*x57 +
x181*x59 - x183*x68 - x181*x156 + x182*x167 - 0.7*x6 - 0.9*x18 =E= 0;
e418.. (-x178*x25) - x180*x38 + x182*x49 + x182*x52 + x182*x55 + x182*x58 +
x182*x60 - x184*x69 + x168*x76 - x182*x167 - 0.7*x7 - 0.9*x19 =E= 0;
e419.. (-x177*x27) - x179*x40 - x181*x54 + x183*x62 + x183*x65 + x183*x68 +
x183*x70 + x183*x72 - x183*x157 + x184*x169 - 0.7*x9 =E= 0;
e420.. (-x178*x28) - x180*x41 - x182*x55 + x184*x63 + x184*x66 + x184*x69 +
x184*x71 + x184*x73 + x170*x77 - x184*x169 - 0.7*x10 =E= 0;
e421.. x187*x34 - x185*x21 + x187*x37 + x187*x40 + x187*x43 + x187*x45 - x189*
x51 - x191*x65 - x187*x155 + x188*x165 - 0.2*x3 =E= 0;
e422.. x188*x35 - x186*x22 + x188*x38 + x188*x41 + x188*x44 + x188*x46 - x190*
x52 - x192*x66 + x166*x79 - x188*x165 - 0.2*x4 =E= 0;
e423.. (-x185*x24) - x187*x37 + x189*x48 + x189*x51 + x189*x54 + x189*x57 +
x189*x59 - x191*x68 - x189*x156 + x190*x167 - 0.2*x6 =E= 0;
e424.. (-x186*x25) - x188*x38 + x190*x49 + x190*x52 + x190*x55 + x190*x58 +
x190*x60 - x192*x69 + x168*x80 - x190*x167 - 0.2*x7 =E= 0;
e425.. (-x185*x27) - x187*x40 - x189*x54 + x191*x62 + x191*x65 + x191*x68 +
x191*x70 + x191*x72 - x191*x157 + x192*x169 - 0.2*x9 =E= 0;
e426.. (-x186*x28) - x188*x41 - x190*x55 + x192*x63 + x192*x66 + x192*x69 +
x192*x71 + x192*x73 + x170*x81 - x192*x169 - 0.2*x10 =E= 0;
e427.. x185*x21 + x185*x24 + x185*x27 + x185*x29 + x185*x31 - x187*x34 - x189*
x48 - x191*x62 - x185*x154 + x186*x163 =E= 0;
e428.. x186*x22 + x186*x25 + x186*x28 + x186*x30 + x186*x32 - x188*x35 - x190*
x49 - x192*x63 + x164*x78 - x186*x163 =E= 0;
* set non-default bounds
x2.up = 1;
x3.up = 1;
x4.up = 1;
x5.up = 1;
x6.up = 1;
x7.up = 1;
x8.up = 1;
x9.up = 1;
x10.up = 1;
x11.up = 1;
x12.up = 1;
x13.up = 1;
x14.up = 1;
x15.up = 1;
x16.up = 1;
x17.up = 1;
x18.up = 1;
x19.up = 1;
x20.up = 1;
x21.up = 1;
x22.up = 1;
x23.up = 1;
x24.up = 1;
x25.up = 1;
x26.up = 1;
x27.up = 1;
x28.up = 1;
x29.up = 1;
x30.up = 1;
x31.up = 1;
x32.up = 1;
x33.up = 1;
x34.up = 1;
x35.up = 1;
x36.up = 1;
x37.up = 1;
x38.up = 1;
x39.up = 1;
x40.up = 1;
x41.up = 1;
x42.up = 1;
x43.up = 1;
x44.up = 1;
x45.up = 1;
x46.up = 1;
x47.up = 1;
x48.up = 1;
x49.up = 1;
x50.up = 1;
x51.up = 1;
x52.up = 1;
x53.up = 1;
x54.up = 1;
x55.up = 1;
x56.up = 1;
x57.up = 1;
x58.up = 1;
x59.up = 1;
x60.up = 1;
x61.up = 1;
x62.up = 1;
x63.up = 1;
x64.up = 1;
x65.up = 1;
x66.up = 1;
x67.up = 1;
x68.up = 1;
x69.up = 1;
x70.up = 1;
x71.up = 1;
x72.up = 1;
x73.up = 1;
x74.up = 1;
x75.up = 1;
x76.up = 1;
x77.up = 1;
x78.up = 1;
x79.up = 1;
x80.up = 1;
x81.up = 1;
x152.up = 2;
x153.up = 2;
x154.up = 2;
x155.up = 2;
x156.up = 2;
x157.up = 2;
x158.up = 2;
x159.up = 2;
x160.up = 2;
x161.up = 2;
x162.up = 2;
x163.up = 2;
x164.up = 2;
x165.up = 2;
x166.up = 2;
x167.up = 2;
x168.up = 2;
x169.up = 2;
x170.up = 2;
x171.up = 2;
x172.up = 2;
x173.up = 2;
x174.up = 2;
x177.up = 1;
x178.up = 1;
x179.up = 1;
x180.up = 1;
x181.up = 1;
x182.up = 1;
x183.up = 1;
x184.up = 1;
x185.up = 1;
x186.up = 1;
x187.up = 1;
x188.up = 1;
x189.up = 1;
x190.up = 1;
x191.up = 1;
x192.up = 1;
Model m / all /;
m.limrow=0; m.limcol=0;
$if NOT '%gams.u1%' == '' $include '%gams.u1%'
m.tolproj = 0.0;
$if not set MIQCP $set MIQCP MIQCP
Solve m using %MIQCP% maximizing objvar;
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