QPLIB
A Library of Quadratic Programming Instances
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| Formats | gms lp mod qplib |
| Problem type probtype | QBN |
| Solution point objective value solobjvalue | 478.00000000 (gdx, sol) |
| Solution point infeasibility solinfeasibility | 0.0000e+00 |
| Donor donor | Stefan Vigerske |
| #Variables nvars | 496 |
| #Binary Variables nbinvars | 496 |
| #Integer Variables nintvars | 0 |
| #Bounded non-binary Variables nboundedvars | 0 |
| #Variables with only one bound nsingleboundedvars | 0 |
| #Nonlinear Variables nnlvars | 496 |
| #Nonlinear Binary Variables nnlbinvars | 496 |
| #Nonlinear Integer Variables nnlintvars | 0 |
| Objective Sense objsense | max |
| Objective type objtype | quadratic |
| Objective curvature objcurvature | indefinite |
| #Negative eigenvalues in objective matrix nobjquadnegev | 240 |
| #Positive eigenvalues in objective matrix nobjquadposev | 240 |
| #Nonzeros in Objective nobjnz | 496 |
| #Nonlinear Nonzeros in Objective nobjnlnz | 496 |
| #Quadratic Terms in Objective nobjquadnz | 960 |
| #Square Terms in Objective nobjquaddiagnz | 0 |
| #Constraints ncons | 0 |
| #Linear Constraints nlincons | 0 |
| #Quadratic Constraints nquadcons | 0 |
| #Diagonal Quadratic Constraints ndiagquadcons | 0 |
| Constraints curvature conscurvature | linear |
| #Convex Nonlinear Constraints nconvexnlcons | 0 |
| #Concave Nonlinear Constraints nconcavenlcons | 0 |
| #Indefinite Nonlinear Constraints nindefinitenlcons | 0 |
| #Nonzeros in Jacobian njacobiannz | 0 |
| #Nonlinear Nonzeros in Jacobian njacobiannlnz | 0 |
| #Nonzeros in (Upper-Left) Hessian of Lagrangian nlaghessiannz | 1920 |
| #Nonzeros in Diagonal of Hessian of Lagrangian nlaghessiandiagnz | 0 |
| #Blocks in Hessian of Lagrangian nlaghessianblocks | 1 |
| Minimal blocksize in Hessian of Lagrangian laghessianminblocksize | 496 |
| Maximal blocksize in Hessian of Lagrangian laghessianmaxblocksize | 496 |
| Average blocksize in Hessian of Lagrangian laghessianavgblocksize | 496.0 |
| Sparsity Jacobian |  |
| Sparsity Lag. Hessian |  |
QPLIB_3506.gms
$offlisting
*
* Equation counts
* Total E G L N X C B
* 1 1 0 0 0 0 0 0
*
* Variable counts
* x b i s1s s2s sc si
* Total cont binary integer sos1 sos2 scont sint
* 497 1 496 0 0 0 0 0
* FX 0 0 0 0 0 0 0 0
*
* Nonzero counts
* Total const NL DLL
* 497 1 496 0
*
* Solve m using MIQCP maximizing objvar;
Variables objvar,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,b201,b202,b203,b204,b205,b206
,b207,b208,b209,b210,b211,b212,b213,b214,b215,b216,b217,b218,b219
,b220,b221,b222,b223,b224,b225,b226,b227,b228,b229,b230,b231,b232
,b233,b234,b235,b236,b237,b238,b239,b240,b241,b242,b243,b244,b245
,b246,b247,b248,b249,b250,b251,b252,b253,b254,b255,b256,b257,b258
,b259,b260,b261,b262,b263,b264,b265,b266,b267,b268,b269,b270,b271
,b272,b273,b274,b275,b276,b277,b278,b279,b280,b281,b282,b283,b284
,b285,b286,b287,b288,b289,b290,b291,b292,b293,b294,b295,b296,b297
,b298,b299,b300,b301,b302,b303,b304,b305,b306,b307,b308,b309,b310
,b311,b312,b313,b314,b315,b316,b317,b318,b319,b320,b321,b322,b323
,b324,b325,b326,b327,b328,b329,b330,b331,b332,b333,b334,b335,b336
,b337,b338,b339,b340,b341,b342,b343,b344,b345,b346,b347,b348,b349
,b350,b351,b352,b353,b354,b355,b356,b357,b358,b359,b360,b361,b362
,b363,b364,b365,b366,b367,b368,b369,b370,b371,b372,b373,b374,b375
,b376,b377,b378,b379,b380,b381,b382,b383,b384,b385,b386,b387,b388
,b389,b390,b391,b392,b393,b394,b395,b396,b397,b398,b399,b400,b401
,b402,b403,b404,b405,b406,b407,b408,b409,b410,b411,b412,b413,b414
,b415,b416,b417,b418,b419,b420,b421,b422,b423,b424,b425,b426,b427
,b428,b429,b430,b431,b432,b433,b434,b435,b436,b437,b438,b439,b440
,b441,b442,b443,b444,b445,b446,b447,b448,b449,b450,b451,b452,b453
,b454,b455,b456,b457,b458,b459,b460,b461,b462,b463,b464,b465,b466
,b467,b468,b469,b470,b471,b472,b473,b474,b475,b476,b477,b478,b479
,b480,b481,b482,b483,b484,b485,b486,b487,b488,b489,b490,b491,b492
,b493,b494,b495,b496,b497;
Binary Variables 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,b201,b202,b203,b204,b205,b206
,b207,b208,b209,b210,b211,b212,b213,b214,b215,b216,b217,b218,b219
,b220,b221,b222,b223,b224,b225,b226,b227,b228,b229,b230,b231,b232
,b233,b234,b235,b236,b237,b238,b239,b240,b241,b242,b243,b244,b245
,b246,b247,b248,b249,b250,b251,b252,b253,b254,b255,b256,b257,b258
,b259,b260,b261,b262,b263,b264,b265,b266,b267,b268,b269,b270,b271
,b272,b273,b274,b275,b276,b277,b278,b279,b280,b281,b282,b283,b284
,b285,b286,b287,b288,b289,b290,b291,b292,b293,b294,b295,b296,b297
,b298,b299,b300,b301,b302,b303,b304,b305,b306,b307,b308,b309,b310
,b311,b312,b313,b314,b315,b316,b317,b318,b319,b320,b321,b322,b323
,b324,b325,b326,b327,b328,b329,b330,b331,b332,b333,b334,b335,b336
,b337,b338,b339,b340,b341,b342,b343,b344,b345,b346,b347,b348,b349
,b350,b351,b352,b353,b354,b355,b356,b357,b358,b359,b360,b361,b362
,b363,b364,b365,b366,b367,b368,b369,b370,b371,b372,b373,b374,b375
,b376,b377,b378,b379,b380,b381,b382,b383,b384,b385,b386,b387,b388
,b389,b390,b391,b392,b393,b394,b395,b396,b397,b398,b399,b400,b401
,b402,b403,b404,b405,b406,b407,b408,b409,b410,b411,b412,b413,b414
,b415,b416,b417,b418,b419,b420,b421,b422,b423,b424,b425,b426,b427
,b428,b429,b430,b431,b432,b433,b434,b435,b436,b437,b438,b439,b440
,b441,b442,b443,b444,b445,b446,b447,b448,b449,b450,b451,b452,b453
,b454,b455,b456,b457,b458,b459,b460,b461,b462,b463,b464,b465,b466
,b467,b468,b469,b470,b471,b472,b473,b474,b475,b476,b477,b478,b479
,b480,b481,b482,b483,b484,b485,b486,b487,b488,b489,b490,b491,b492
,b493,b494,b495,b496,b497;
Equations e1;
e1.. 2*b2*b3 - 2*b2*b67 - 2*b2*b223 + 4*b223 + 2*b2*b224 + 2*b224 - 2*b3*b221
+ 2*b221 - 2*b3*b238 + 4*b238 + 2*b3*b441 - 4*b441 + 2*b4*b54 - 2*b4*b242
+ 2*b242 + 2*b4*b345 + 2*b345 - 2*b4*b377 + 4*b377 - 2*b5*b6 + 2*b5*b293
- 2*b293 + 2*b5*b348 - 2*b348 - 2*b5*b414 + 2*b414 + 2*b6*b18 - 2*b6*b290
+ 4*b290 + 2*b6*b347 - 2*b347 - 2*b7*b172 + 2*b172 - 2*b7*b242 + 2*b7*
b382 + 2*b382 + 2*b7*b490 - 2*b490 - 2*b8*b71 + 2*b8*b113 + 2*b8*b255 + 2*
b255 - 2*b8*b275 + 2*b275 + 2*b9*b10 + 2*b9*b94 - 2*b9*b102 - 2*b9*b306 +
2*b306 + 2*b10*b73 - 2*b10*b175 + 2*b175 - 2*b10*b176 + 2*b176 - 2*b11*b43
+ 2*b11*b177 - 2*b177 + 2*b12*b177 - 2*b12*b459 + 2*b459 + 2*b13*b14 + 2*
b13*b112 - 2*b13*b233 + 2*b233 - 2*b13*b276 + 4*b276 - 2*b14*b70 + 2*b14*
b143 - 2*b14*b428 - 2*b428 + 2*b15*b16 + 2*b15*b89 - 2*b15*b281 + 2*b281
- 2*b15*b435 + 2*b435 - 2*b16*b174 + 2*b174 - 2*b16*b175 + 2*b16*b365 + 2
*b365 + 2*b17*b18 - 2*b17*b172 + 2*b17*b295 + 2*b295 - 2*b17*b416 + 4*b416
- 2*b18*b453 + 2*b453 - 2*b18*b456 + 4*b456 - 2*b19*b31 + 2*b19*b181 - 2*
b181 + 2*b20*b181 - 2*b20*b420 + 2*b420 + 2*b21*b251 - 2*b251 + 2*b21*b274
+ 2*b274 - 2*b21*b357 + 4*b357 - 2*b21*b464 + 4*b464 + 2*b22*b23 + 2*b22*
b107 - 2*b22*b256 + 4*b256 - 2*b22*b304 + 4*b304 - 2*b23*b62 + 2*b23*b139
- 2*b23*b466 - 2*b466 + 2*b24*b25 - 2*b24*b26 + 2*b24*b81 - 2*b24*b398 +
2*b398 - 2*b25*b173 + 2*b173 - 2*b25*b174 + 2*b25*b397 + 2*b397 + 2*b26*
b93 - 2*b26*b182 + 4*b182 + 2*b26*b364 - 2*b364 + 2*b27*b28 - 2*b27*b53 +
2*b27*b312 - 2*b312 - 2*b27*b400 + 2*b400 - 2*b28*b58 - 2*b28*b81 + 2*b28*
b82 - 2*b29*b30 + 2*b29*b379 - 2*b379 + 2*b29*b493 + 2*b493 - 2*b29*b494
+ 2*b494 + 2*b30*b319 + 2*b319 - 2*b30*b450 + 4*b450 + 2*b30*b488 - 2*
b488 + 2*b31*b32 + 2*b31*b191 - 2*b191 - 2*b31*b231 + 2*b231 - 2*b32*b385
+ 2*b385 - 2*b33*b34 + 2*b33*b254 + 2*b254 + 2*b33*b271 - 2*b271 - 2*b33*
b302 + 4*b302 + 2*b34*b124 + 2*b34*b125 - 2*b34*b202 - 2*b202 + 2*b35*b36
+ 2*b35*b100 - 2*b35*b277 + 4*b277 - 2*b35*b332 + 4*b332 - 2*b36*b56 - 2*
b36*b114 + 2*b36*b134 + 2*b37*b38 + 2*b37*b49 - 2*b37*b178 + 4*b178 - 2*
b37*b235 + 4*b235 - 2*b38*b100 + 2*b38*b154 - 2*b38*b233 + 2*b39*b40 - 2*
b39*b60 + 2*b39*b338 - 4*b338 - 2*b39*b367 + 2*b367 - 2*b40*b65 - 2*b40*
b183 + 2*b183 + 2*b40*b477 + 2*b477 - 2*b41*b312 + 2*b41*b314 + 2*b314 + 2
*b41*b338 - 2*b41*b340 + 4*b340 + 2*b42*b109 + 2*b42*b291 + 2*b291 - 2*b42
*b380 - 2*b380 - 2*b42*b489 + 4*b489 + 2*b43*b44 + 2*b43*b187 - 2*b187 - 2
*b43*b250 + 2*b250 - 2*b44*b354 + 2*b354 - 2*b45*b46 + 2*b45*b253 - 2*b253
+ 2*b45*b299 - 2*b299 - 2*b45*b329 + 4*b329 + 2*b46*b133 - 2*b46*b208 + 2
*b208 + 2*b46*b386 - 2*b386 + 2*b47*b126 + 2*b47*b253 - 2*b47*b275 - 2*b47
*b464 - 2*b48*b113 + 2*b48*b160 + 2*b48*b173 - 2*b48*b192 + 2*b192 - 2*b49
*b173 + 2*b49*b434 + 2*b434 - 2*b49*b473 + 4*b473 + 2*b50*b51 - 2*b50*b237
+ 2*b237 - 2*b50*b336 + 2*b336 + 2*b50*b370 - 4*b370 + 2*b51*b65 - 2*b51*
b180 + 2*b180 - 2*b51*b236 + 2*b236 - 2*b52*b53 + 2*b52*b83 + 2*b52*b370
- 2*b52*b373 + 4*b373 + 2*b53*b121 + 2*b53*b284 - 2*b284 + 2*b54*b117 - 2
*b54*b288 + 4*b288 - 2*b54*b348 - 2*b55*b219 + 2*b219 + 2*b55*b273 - 2*
b273 + 2*b55*b326 - 2*b326 - 2*b55*b360 + 4*b360 - 2*b56*b254 + 2*b56*b273
+ 2*b56*b427 - 2*b427 - 2*b57*b112 + 2*b57*b166 + 2*b57*b174 - 2*b57*b188
+ 2*b188 + 2*b58*b80 + 2*b58*b209 + 2*b209 - 2*b58*b397 - 2*b59*b60 + 2*
b59*b76 + 2*b59*b403 - 4*b403 - 2*b59*b406 + 4*b406 + 2*b60*b128 + 2*b60*
b261 - 2*b261 - 2*b61*b232 + 2*b232 + 2*b61*b301 - 4*b301 + 2*b61*b356 - 2
*b356 - 2*b61*b391 + 4*b391 - 2*b62*b274 + 2*b62*b301 + 2*b62*b392 - 2*
b392 - 2*b63*b79 - 2*b63*b107 + 2*b63*b175 + 2*b63*b431 + 2*b431 - 2*b64*
b113 + 2*b64*b140 - 2*b64*b175 + 2*b64*b259 + 2*b259 + 2*b65*b73 - 2*b65*
b365 - 2*b66*b237 + 2*b66*b372 - 2*b372 + 2*b66*b439 - 4*b439 - 2*b66*b442
+ 4*b442 + 2*b67*b91 - 2*b67*b342 + 4*b342 + 2*b67*b372 + 2*b68*b149 - 2*
b68*b264 + 4*b264 - 2*b68*b409 + 4*b409 + 2*b68*b490 - 2*b69*b252 + 4*b252
+ 2*b69*b328 - 4*b328 + 2*b69*b388 - 2*b388 - 2*b69*b425 + 4*b425 - 2*b70
*b302 + 2*b70*b328 + 2*b70*b361 - 2*b361 + 2*b71*b72 - 2*b71*b178 + 2*b71*
b430 - 2*b430 + 2*b72*b165 - 2*b72*b361 - 2*b72*b395 - 2*b395 - 2*b73*b151
- 2*b73*b334 + 2*b334 - 2*b74*b222 + 4*b222 + 2*b74*b405 - 2*b405 + 2*b74
*b478 - 2*b478 - 2*b74*b481 + 4*b481 - 2*b75*b76 + 2*b75*b84 - 2*b75*b239
+ 2*b239 + 2*b75*b405 - 2*b76*b261 + 2*b76*b443 + 2*b443 + 2*b77*b145 - 2
*b77*b241 + 4*b241 - 2*b77*b376 + 4*b376 + 2*b77*b451 - 2*b451 - 2*b78*
b255 - 2*b78*b329 + 2*b78*b331 - 2*b331 + 2*b78*b359 - 2*b359 + 2*b79*b333
+ 2*b333 - 2*b79*b394 + 2*b394 + 2*b79*b468 - 2*b468 + 2*b80*b306 - 2*b80
*b307 + 2*b307 - 2*b80*b309 + 4*b309 + 2*b81*b101 - 2*b81*b336 - 2*b82*
b152 + 2*b82*b221 - 2*b82*b437 + 2*b437 + 2*b83*b156 - 2*b83*b184 + 2*b184
- 2*b83*b284 - 2*b84*b184 + 2*b84*b204 + 2*b204 - 2*b84*b212 + 4*b212 + 2
*b85*b142 - 2*b85*b226 + 4*b226 - 2*b85*b344 + 4*b344 + 2*b85*b411 - 2*
b411 + 2*b86*b202 - 2*b86*b208 + 2*b86*b423 + 2*b423 - 2*b86*b462 + 4*b462
+ 2*b87*b99 - 2*b87*b276 - 2*b87*b360 + 2*b87*b390 - 2*b390 - 2*b88*b99
+ 2*b88*b159 + 2*b88*b188 - 2*b88*b304 - 2*b89*b310 + 2*b310 - 2*b89*b400
+ 2*b89*b433 - 2*b433 - 2*b90*b155 + 2*b90*b400 - 2*b90*b401 + 2*b401 + 2
*b90*b478 - 2*b91*b186 + 2*b186 + 2*b91*b199 + 2*b199 - 2*b91*b225 + 4*
b225 + 2*b92*b137 - 2*b92*b213 + 2*b213 - 2*b92*b317 + 4*b317 + 2*b92*b379
+ 2*b93*b468 - 2*b93*b469 + 2*b469 - 2*b93*b471 + 4*b471 - 2*b94*b283 + 2
*b283 - 2*b94*b367 + 2*b94*b472 - 2*b472 - 2*b95*b162 + 2*b95*b367 - 2*b95
*b368 + 2*b368 + 2*b95*b439 + 2*b96*b189 + 2*b189 - 2*b96*b224 + 2*b96*
b284 - 2*b96*b440 + 2*b440 - 2*b97*b104 - 2*b97*b287 + 4*b287 + 2*b97*b347
+ 2*b97*b452 + 2*b452 + 2*b98*b110 - 2*b98*b190 + 2*b190 + 2*b98*b245 + 2
*b245 - 2*b98*b266 + 4*b266 - 2*b99*b330 + 2*b330 + 2*b99*b393 - 2*b393 +
2*b100*b393 - 2*b100*b430 - 2*b101*b235 + 2*b101*b399 + 2*b399 - 2*b101*
b471 + 2*b102*b115 - 2*b102*b336 + 2*b102*b475 + 2*b475 + 2*b103*b193 + 2*
b193 - 2*b103*b211 + 4*b211 + 2*b103*b313 - 2*b313 - 2*b103*b404 + 2*b404
+ 2*b104*b105 - 2*b104*b194 + 2*b194 + 2*b104*b488 - 2*b105*b226 + 2*b105
*b262 + 2*b262 - 2*b105*b315 + 4*b315 - 2*b106*b165 + 2*b106*b331 + 2*b106
*b463 - 2*b463 - 2*b106*b464 - 2*b107*b278 + 2*b278 + 2*b107*b428 + 2*b108
*b198 + 2*b198 - 2*b108*b203 + 4*b203 + 2*b108*b339 - 2*b339 - 2*b108*b371
+ 2*b371 + 2*b109*b213 - 2*b109*b241 - 2*b109*b242 - 2*b110*b200 + 2*b200
- 2*b111*b169 + 2*b111*b361 + 2*b111*b424 - 2*b424 - 2*b111*b425 - 2*b112
*b257 + 2*b257 + 2*b112*b466 + 2*b113*b114 - 2*b114*b277 + 2*b114*b392 + 2
*b115*b307 - 2*b115*b363 + 4*b363 - 2*b115*b398 - 2*b116*b117 + 2*b116*
b118 - 2*b116*b205 + 2*b205 + 2*b116*b243 - 2*b243 + 2*b117*b149 - 2*b117*
b320 + 4*b320 - 2*b118*b214 + 2*b214 + 2*b118*b216 + 2*b216 - 2*b118*b229
+ 4*b229 + 2*b119*b251 - 2*b119*b252 - 2*b119*b254 + 2*b119*b359 - 2*b120
*b126 + 2*b120*b233 - 2*b120*b256 + 2*b120*b427 - 2*b121*b238 + 2*b121*
b311 + 2*b311 - 2*b121*b437 + 2*b122*b142 + 2*b122*b214 - 2*b122*b265 + 4*
b265 - 2*b122*b491 + 2*b491 + 2*b123*b138 - 2*b123*b353 + 2*b353 + 2*b124*
b353 - 2*b124*b354 - 2*b124*b357 - 2*b125*b232 - 2*b125*b253 + 2*b125*b328
+ 2*b126*b127 - 2*b126*b467 + 4*b467 + 2*b127*b328 - 2*b127*b329 - 2*b127
*b332 - 2*b128*b222 + 2*b128*b337 + 2*b337 - 2*b128*b401 + 2*b129*b407 + 2
*b407 + 2*b129*b480 - 2*b480 - 2*b129*b481 - 2*b129*b484 + 2*b484 + 2*b130
*b137 + 2*b130*b227 + 2*b227 - 2*b130*b244 + 4*b244 - 2*b130*b452 + 2*b131
*b132 - 2*b131*b269 + 2*b269 + 2*b131*b386 - 2*b131*b387 + 2*b387 - 2*b132
*b458 + 2*b458 - 2*b133*b219 - 2*b133*b273 + 2*b133*b301 + 2*b134*b301 - 2
*b134*b302 - 2*b134*b304 + 2*b135*b237 - 2*b135*b238 - 2*b135*b372 + 2*
b135*b441 + 2*b136*b441 - 2*b136*b442 + 2*b136*b444 + 2*b444 - 2*b136*b445
+ 2*b445 - 2*b137*b410 + 2*b410 - 2*b137*b412 + 2*b412 - 2*b138*b297 + 2*
b297 + 2*b138*b421 - 2*b421 - 2*b138*b422 + 2*b422 + 2*b139*b273 - 2*b139*
b274 - 2*b139*b276 + 2*b140*b466 - 2*b140*b467 - 2*b140*b469 + 2*b141*b405
- 2*b141*b406 - 2*b141*b408 + 2*b408 + 2*b141*b483 + 2*b483 - 2*b142*b378
+ 4*b378 - 2*b142*b381 + 2*b381 + 2*b143*b253 - 2*b143*b254 - 2*b143*b255
- 2*b144*b161 + 2*b144*b234 + 2*b234 + 2*b144*b428 - 2*b144*b429 + 4*b429
+ 2*b145*b243 - 2*b145*b346 + 4*b346 - 2*b145*b349 + 2*b349 - 2*b146*b167
+ 2*b146*b258 + 2*b258 + 2*b146*b393 - 2*b146*b394 + 2*b147*b151 - 2*b147
*b366 + 2*b366 - 2*b147*b438 - 2*b438 + 2*b147*b476 - 2*b476 + 2*b148*b261
+ 2*b148*b476 - 2*b148*b477 - 2*b148*b479 + 2*b479 - 2*b149*b318 + 4*b318
- 2*b149*b319 + 2*b150*b272 - 2*b272 + 2*b150*b460 - 2*b460 - 2*b150*b461
+ 2*b461 - 2*b150*b462 + 2*b151*b335 - 2*b335 - 2*b151*b337 + 2*b152*b284
+ 2*b152*b438 - 2*b152*b440 + 2*b153*b300 - 2*b300 + 2*b153*b421 - 2*b153
*b422 - 2*b153*b423 - 2*b154*b307 - 2*b154*b334 + 2*b154*b469 + 2*b155*
b313 + 2*b155*b402 - 2*b402 - 2*b155*b404 + 2*b156*b157 - 2*b156*b314 - 2*
b156*b408 + 2*b157*b316 + 2*b316 - 2*b157*b375 + 4*b375 - 2*b157*b482 + 2*
b482 + 2*b158*b327 - 2*b327 + 2*b158*b386 - 2*b158*b387 - 2*b158*b389 + 2*
b389 + 2*b159*b161 - 2*b159*b333 - 2*b159*b469 + 2*b160*b161 - 2*b160*b334
- 2*b160*b363 - 2*b161*b470 + 2*b470 + 2*b162*b339 + 2*b162*b369 - 2*b369
- 2*b162*b371 + 2*b163*b164 - 2*b163*b351 + 2*b351 - 2*b164*b171 + 2*b164
*b495 + 2*b495 - 2*b164*b496 + 4*b496 + 2*b165*b465 - 2*b465 - 2*b165*b467
+ 2*b166*b167 - 2*b166*b363 - 2*b166*b396 + 4*b396 + 2*b167*b395 - 2*b167
*b431 - 2*b168*b383 + 4*b383 + 2*b168*b497 - 2*b497 + 2*b169*b394 + 2*b169
*b426 - 2*b426 - 2*b169*b429 + 2*b170*b410 + 2*b170*b485 + 2*b485 - 2*b170
*b486 + 4*b486 - 2*b170*b489 + 2*b171*b497 + 2*b172*b380 - 2*b172*b414 - 2
*b173*b278 - 2*b174*b257 - 2*b176*b234 - 2*b176*b306 + 2*b176*b430 + 2*
b177*b202 - 2*b177*b208 - 2*b178*b182 - 2*b178*b188 - 2*b179*b258 + 2*b179
- 2*b179*b281 - 2*b179*b306 + 2*b179*b468 + 2*b180*b335 - 2*b180*b400 - 2
*b180*b434 + 2*b181*b197 - 2*b197 - 2*b181*b218 + 2*b218 - 2*b182*b279 + 2
*b279 - 2*b182*b281 + 2*b183*b364 - 2*b183*b367 - 2*b183*b473 - 2*b184*
b262 + 2*b184*b441 - 2*b185*b195 + 2*b185 + 2*b195 - 2*b185*b417 + 4*b417
- 2*b186*b285 + 4*b285 - 2*b186*b314 + 2*b186*b480 - 2*b187*b299 + 2*b187
*b326 + 2*b187*b459 - 2*b188*b429 - 2*b189*b239 - 2*b189*b315 - 2*b189*
b340 - 2*b190*b206 + 2*b206 - 2*b191*b271 + 2*b191*b356 + 2*b191*b420 + 2*
b192*b362 - 2*b362 - 2*b192*b467 - 2*b192*b468 - 2*b193*b262 - 2*b193*b341
+ 4*b341 - 2*b193*b373 + 2*b194*b239 - 2*b194*b241 - 2*b194*b341 - 2*b195
*b196 + 2*b196 + 2*b195*b228 + 2*b228 - 2*b195*b294 + 4*b294 - 2*b196*b216
- 2*b197*b251 + 2*b197*b385 + 2*b197*b388 - 2*b198*b285 - 2*b198*b374 + 4
*b374 - 2*b198*b406 - 2*b199*b213 - 2*b199*b264 - 2*b199*b374 - 2*b200*
b201 + 2*b201 + 2*b200*b215 + 2*b215 - 2*b200*b321 + 4*b321 - 2*b201*b229
+ 2*b202*b354 - 2*b203*b315 - 2*b203*b407 - 2*b203*b442 - 2*b204*b226 - 2
*b204*b287 - 2*b204*b407 + 2*b205*b206 - 2*b205*b227 - 2*b205*b246 + 4*
b246 - 2*b206*b207 + 2*b207 - 2*b206*b495 - 2*b207*b246 + 2*b208*b325 + 2*
b325 - 2*b209*b210 + 2*b210 - 2*b209*b220 + 2*b220 - 2*b209*b309 - 2*b210*
b221 - 2*b210*b237 + 2*b210*b368 - 2*b211*b341 - 2*b211*b444 - 2*b211*b481
- 2*b212*b241 - 2*b212*b317 - 2*b212*b444 - 2*b213*b446 + 4*b446 - 2*b214
*b215 - 2*b214*b291 - 2*b215*b244 - 2*b215*b267 + 4*b267 - 2*b216*b217 + 2
*b217 - 2*b216*b455 + 2*b455 - 2*b217*b267 - 2*b218*b219 + 2*b218*b298 + 2
*b298 - 2*b218*b388 + 2*b219*b421 - 2*b220*b222 - 2*b220*b310 + 2*b220*
b403 - 2*b221*b223 - 2*b222*b223 - 2*b223*b405 - 2*b224*b374 - 2*b224*b483
- 2*b225*b264 - 2*b225*b344 - 2*b225*b483 - 2*b226*b288 - 2*b227*b228 - 2
*b227*b319 - 2*b228*b265 - 2*b228*b295 - 2*b229*b230 + 2*b230 - 2*b229*
b415 + 4*b415 - 2*b230*b295 - 2*b231*b232 + 2*b231*b270 + 2*b270 - 2*b231*
b356 + 2*b232*b460 - 2*b233*b234 - 2*b234*b259 - 2*b235*b259 - 2*b235*b308
+ 2*b308 - 2*b236*b238 - 2*b236*b283 + 2*b236*b439 - 2*b239*b240 + 2*b240
- 2*b240*b287 - 2*b240*b376 + 2*b240*b484 + 2*b242*b243 - 2*b243*b292 + 4
*b292 - 2*b244*b245 - 2*b244*b349 - 2*b245*b292 - 2*b245*b322 + 2*b322 - 2
*b246*b247 + 2*b247 - 2*b246*b456 - 2*b247*b322 - 2*b248*b249 + 2*b248 + 2
*b249 - 2*b248*b353 + 2*b249*b250 - 2*b249*b352 + 2*b352 - 2*b249*b355 + 4
*b355 - 2*b250*b252 - 2*b250*b326 + 2*b251*b387 - 2*b252*b355 - 2*b255*
b393 - 2*b256*b258 - 2*b256*b278 - 2*b257*b277 + 2*b257*b280 + 2*b280 - 2*
b258*b280 - 2*b259*b260 + 2*b260 - 2*b260*b280 - 2*b260*b364 + 2*b260*b433
+ 2*b261*b480 - 2*b262*b263 + 2*b263 - 2*b263*b317 - 2*b263*b409 + 2*b263
*b445 - 2*b264*b488 - 2*b265*b266 - 2*b265*b381 - 2*b266*b320 - 2*b266*
b351 - 2*b267*b268 + 2*b268 - 2*b267*b496 - 2*b268*b351 - 2*b269*b270 - 2*
b270*b384 + 2*b384 - 2*b270*b460 + 2*b271*b272 + 2*b271*b422 - 2*b272*b274
+ 2*b272*b390 - 2*b275*b303 + 2*b303 + 2*b275*b362 - 2*b276*b362 - 2*b277
*b279 + 2*b278*b305 + 2*b305 - 2*b279*b305 + 2*b279*b395 - 2*b280*b282 + 2
*b282 + 2*b281*b335 - 2*b282*b305 - 2*b282*b335 + 2*b282*b472 - 2*b283*
b398 + 2*b283*b438 - 2*b285*b286 + 2*b286 - 2*b285*b446 - 2*b286*b344 + 2*
b286*b408 - 2*b286*b448 + 4*b448 - 2*b287*b289 + 4*b289 - 2*b288*b290 - 2*
b288*b449 + 4*b449 - 2*b289*b290 - 2*b289*b448 - 2*b289*b490 - 2*b290*b291
- 2*b291*b350 + 4*b350 - 2*b292*b294 - 2*b292*b412 + 2*b293*b322 - 2*b293
*b383 + 2*b293*b494 - 2*b294*b350 - 2*b294*b383 - 2*b295*b296 + 2*b296 - 2
*b296*b383 - 2*b297*b298 - 2*b298*b419 + 2*b419 - 2*b298*b421 + 2*b299*
b300 + 2*b299*b461 - 2*b300*b302 + 2*b300*b424 - 2*b303*b304 - 2*b303*b391
+ 2*b303*b424 - 2*b305*b307 - 2*b308*b309 + 2*b308*b334 - 2*b308*b435 - 2
*b309*b311 + 2*b310*b402 - 2*b310*b435 - 2*b311*b399 - 2*b311*b402 + 2*
b312*b313 + 2*b312*b476 - 2*b313*b314 - 2*b315*b316 - 2*b316*b376 - 2*b316
*b487 + 4*b487 - 2*b317*b318 - 2*b318*b451 - 2*b318*b487 - 2*b319*b382 - 2
*b320*b321 - 2*b320*b453 - 2*b321*b382 - 2*b321*b416 - 2*b322*b323 + 2*
b323 - 2*b323*b416 - 2*b324*b325 + 2*b324 - 2*b324*b458 - 2*b325*b386 - 2*
b325*b457 + 2*b457 + 2*b326*b327 - 2*b327*b329 + 2*b327*b463 - 2*b330*b332
- 2*b330*b425 + 2*b330*b463 - 2*b331*b333 + 2*b331*b428 - 2*b332*b333 + 2
*b336*b369 - 2*b337*b369 - 2*b337*b436 + 2*b436 + 2*b338*b339 + 2*b338*
b438 - 2*b339*b340 - 2*b340*b443 - 2*b341*b343 + 4*b343 - 2*b342*b343 - 2*
b342*b443 - 2*b342*b446 - 2*b343*b345 - 2*b343*b409 - 2*b344*b346 - 2*b345
*b346 - 2*b345*b447 + 4*b447 - 2*b346*b411 + 2*b347*b349 - 2*b347*b410 + 2
*b348*b413 + 2*b413 + 2*b348*b451 - 2*b349*b413 - 2*b350*b492 + 2*b492 - 2
*b350*b495 + 2*b351*b414 - 2*b352*b354 - 2*b353*b355 - 2*b355*b357 + 2*
b356*b358 + 2*b358 - 2*b357*b358 - 2*b358*b360 - 2*b358*b463 - 2*b359*b462
+ 2*b359*b465 - 2*b360*b465 + 2*b361*b466 + 2*b362*b395 - 2*b363*b365 + 2
*b364*b366 - 2*b365*b366 - 2*b366*b368 - 2*b368*b474 + 2*b474 + 2*b369*
b403 + 2*b370*b371 + 2*b370*b402 - 2*b371*b373 + 2*b372*b482 - 2*b373*b482
- 2*b374*b375 - 2*b375*b377 - 2*b375*b448 - 2*b376*b378 - 2*b377*b378 - 2
*b377*b486 - 2*b378*b379 + 2*b379*b381 + 2*b380*b411 + 2*b380*b454 + 2*
b454 - 2*b381*b454 - 2*b382*b455 - 2*b384*b385 - 2*b385*b387 + 2*b388*b389
- 2*b389*b391 - 2*b389*b424 - 2*b390*b423 + 2*b390*b426 - 2*b391*b426 - 2
*b392*b394 + 2*b392*b426 - 2*b396*b397 - 2*b396*b431 - 2*b396*b472 - 2*
b397*b399 + 2*b398*b401 - 2*b399*b401 + 2*b403*b404 - 2*b404*b406 - 2*b407
*b485 - 2*b408*b485 - 2*b409*b410 + 2*b411*b412 - 2*b412*b493 - 2*b413*
b415 - 2*b413*b495 - 2*b414*b417 - 2*b415*b417 - 2*b415*b493 - 2*b416*b418
+ 2*b418 - 2*b417*b418 - 2*b419*b420 - 2*b420*b422 - 2*b423*b425 - 2*b427
*b429 + 2*b427*b465 + 2*b430*b470 - 2*b431*b432 + 4*b432 - 2*b432*b433 - 2
*b432*b434 - 2*b432*b470 + 2*b433*b436 - 2*b434*b436 + 2*b435*b437 - 2*
b436*b437 + 2*b439*b440 - 2*b440*b442 - 2*b443*b445 - 2*b444*b447 - 2*b445
*b447 - 2*b446*b449 - 2*b447*b449 - 2*b448*b450 - 2*b449*b450 - 2*b450*
b452 + 2*b451*b453 - 2*b452*b453 - 2*b454*b455 - 2*b454*b456 + 2*b455*b497
- 2*b456*b497 - 2*b457*b459 + 2*b458*b460 - 2*b458*b461 - 2*b459*b461 - 2
*b462*b464 - 2*b470*b471 - 2*b471*b473 + 2*b472*b474 - 2*b473*b474 - 2*
b474*b475 - 2*b475*b476 - 2*b475*b477 - 2*b477*b478 + 2*b478*b479 - 2*b479
*b480 - 2*b479*b481 - 2*b482*b484 - 2*b483*b486 - 2*b484*b486 - 2*b485*
b487 - 2*b487*b489 + 2*b488*b491 - 2*b489*b491 + 2*b490*b492 - 2*b491*b492
- 2*b492*b494 - 2*b493*b496 - 2*b494*b496 - objvar =E= 0;
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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