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QPLIB_3832

Formats gms lp mod qplib
Problem type probtype QBN
Solution point objective value solobjvalue 554.00000000 (gdx, sol)
Solution point infeasibility solinfeasibility 0.0000e+00
Donor donor Stefan Vigerske
#Variables nvars 561
#Binary Variables nbinvars 561
#Integer Variables nintvars 0
#Bounded non-binary Variables nboundedvars 0
#Variables with only one bound nsingleboundedvars 0
#Nonlinear Variables nnlvars 561
#Nonlinear Binary Variables nnlbinvars 561
#Nonlinear Integer Variables nnlintvars 0
Objective Sense objsense max
Objective type objtype quadratic
Objective curvature objcurvature indefinite
#Negative eigenvalues in objective matrix nobjquadnegev 272
#Positive eigenvalues in objective matrix nobjquadposev 272
#Nonzeros in Objective nobjnz 561
#Nonlinear Nonzeros in Objective nobjnlnz 561
#Quadratic Terms in Objective nobjquadnz 1088
#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 2176
#Nonzeros in Diagonal of Hessian of Lagrangian nlaghessiandiagnz 0
#Blocks in Hessian of Lagrangian nlaghessianblocks 1
Minimal blocksize in Hessian of Lagrangian laghessianminblocksize 561
Maximal blocksize in Hessian of Lagrangian laghessianmaxblocksize 561
Average blocksize in Hessian of Lagrangian laghessianavgblocksize 561.0
Sparsity Jacobian
Sparsity Lag. Hessian

QPLIB_3832.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
*        562        1      561        0        0        0        0        0
*  FX      0        0        0        0        0        0        0        0
*  
*  Nonzero counts
*      Total    const       NL      DLL
*        562        1      561        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,b498,b499,b500,b501,b502,b503,b504,b505
          ,b506,b507,b508,b509,b510,b511,b512,b513,b514,b515,b516,b517,b518
          ,b519,b520,b521,b522,b523,b524,b525,b526,b527,b528,b529,b530,b531
          ,b532,b533,b534,b535,b536,b537,b538,b539,b540,b541,b542,b543,b544
          ,b545,b546,b547,b548,b549,b550,b551,b552,b553,b554,b555,b556,b557
          ,b558,b559,b560,b561,b562;

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,b498,b499,b500,b501,b502,b503,b504,b505
          ,b506,b507,b508,b509,b510,b511,b512,b513,b514,b515,b516,b517,b518
          ,b519,b520,b521,b522,b523,b524,b525,b526,b527,b528,b529,b530,b531
          ,b532,b533,b534,b535,b536,b537,b538,b539,b540,b541,b542,b543,b544
          ,b545,b546,b547,b548,b549,b550,b551,b552,b553,b554,b555,b556,b557
          ,b558,b559,b560,b561,b562;

Equations  e1;


e1.. 2*b2*b260 - 2*b2*b74 - 2*b260 - 2*b2*b261 + 4*b261 + 2*b2*b279 + 2*b279 + 
     2*b3*b53 - 2*b3*b265 + 2*b265 + 2*b3*b400 + 2*b400 - 2*b3*b433 + 4*b433 - 
     2*b4*b5 + 2*b4*b347 - 2*b347 + 2*b4*b403 - 2*b403 - 2*b4*b474 + 2*b474 + 2
     *b5*b22 + 2*b5*b343 - 2*b343 - 2*b5*b344 + 4*b344 + 2*b6*b7 - 2*b6*b33 + 2
     *b6*b213 - 2*b213 - 2*b6*b271 + 2*b271 - 2*b7*b86 - 2*b7*b215 + 2*b215 + 2
     *b7*b381 + 2*b381 - 2*b8*b210 + 2*b210 - 2*b8*b265 + 2*b8*b438 + 2*b438 + 
     2*b8*b471 - 2*b471 + 2*b9*b10 + 2*b9*b211 - 2*b211 - 2*b9*b218 + 2*b218 - 
     2*b9*b257 + 2*b257 - 2*b10*b212 + 2*b212 - 2*b10*b220 + 2*b220 + 2*b10*
     b409 + 2*b409 + 2*b11*b12 - 2*b11*b80 + 2*b11*b148 - 2*b11*b313 + 2*b313
      + 2*b12*b183 - 2*b12*b312 + 2*b312 - 2*b12*b451 - 2*b451 + 2*b13*b14 - 2*
     b13*b15 - 2*b13*b458 + 2*b458 + 2*b13*b498 - 2*b498 - 2*b14*b216 + 2*b216
      - 2*b14*b223 + 2*b223 + 2*b14*b390 - 2*b390 + 2*b15*b102 - 2*b15*b219 + 2
     *b219 + 2*b15*b421 - 2*b421 + 2*b16*b17 + 2*b16*b137 - 2*b16*b292 + 4*b292
      - 2*b16*b331 + 4*b331 + 2*b17*b179 - 2*b17*b291 + 2*b291 - 2*b17*b492 - 2
     *b492 + 2*b18*b19 - 2*b18*b20 - 2*b18*b423 + 2*b423 + 2*b18*b541 - 2*b541
      + 2*b19*b81 - 2*b19*b214 + 2*b214 - 2*b19*b221 + 2*b221 + 2*b20*b110 - 2*
     b20*b221 + 2*b20*b456 - 2*b456 + 2*b21*b22 - 2*b21*b210 + 2*b21*b349 + 2*
     b349 - 2*b21*b476 + 4*b476 - 2*b22*b515 + 2*b515 - 2*b22*b518 + 4*b518 + 2
     *b23*b272 - 2*b272 + 2*b23*b329 + 2*b329 - 2*b23*b414 + 4*b414 - 2*b23*
     b531 + 4*b531 + 2*b24*b25 + 2*b24*b128 - 2*b24*b314 + 4*b314 - 2*b24*b358
      + 4*b358 - 2*b25*b99 + 2*b25*b171 - 2*b25*b534 - 2*b534 + 2*b26*b27 - 2*
     b26*b28 + 2*b26*b82 - 2*b26*b392 + 2*b392 - 2*b27*b47 - 2*b27*b219 + 2*b27
     *b391 + 2*b391 + 2*b28*b116 - 2*b28*b223 + 2*b28*b496 - 4*b496 + 2*b29*b30
      - 2*b29*b52 + 2*b29*b316 - 2*b316 - 2*b29*b460 + 2*b460 - 2*b30*b72 - 2*
     b30*b82 + 2*b30*b502 + 2*b502 - 2*b31*b32 + 2*b31*b373 - 2*b373 + 2*b31*
     b558 + 2*b558 - 2*b31*b559 + 2*b559 + 2*b32*b125 + 2*b32*b151 - 2*b32*b514
      + 4*b514 + 2*b33*b45 - 2*b33*b87 + 2*b33*b443 + 2*b443 - 2*b34*b35 + 2*
     b34*b89 + 2*b34*b289 - 2*b289 - 2*b34*b356 + 4*b356 + 2*b35*b158 + 2*b35*
     b159 - 2*b35*b247 - 2*b247 + 2*b36*b37 + 2*b36*b123 - 2*b36*b332 + 4*b332
      - 2*b36*b386 + 4*b386 - 2*b37*b88 - 2*b37*b129 + 2*b37*b532 - 2*b532 + 2*
     b38*b39 + 2*b38*b64 - 2*b38*b295 + 4*b295 - 2*b38*b536 + 2*b536 - 2*b39*
     b123 - 2*b39*b292 + 2*b39*b388 + 2*b388 - 2*b40*b277 + 2*b277 + 2*b40*b336
      - 4*b336 - 2*b40*b424 + 2*b424 + 2*b40*b543 - 2*b543 - 2*b41*b316 + 2*b41
     *b336 + 2*b41*b367 + 2*b367 - 2*b41*b395 + 4*b395 + 2*b42*b43 + 2*b42*b44
      - 2*b42*b133 - 2*b42*b306 + 2*b306 - 2*b43*b520 + 2*b520 + 2*b44*b218 - 2
     *b44*b408 + 2*b408 - 2*b44*b411 + 2*b411 - 2*b45*b218 - 2*b45*b289 + 2*b45
     *b310 - 4*b310 + 2*b46*b79 - 2*b46*b258 + 2*b258 + 2*b46*b310 - 2*b46*b384
      + 4*b384 + 2*b47*b48 + 2*b47*b58 - 2*b47*b293 + 2*b293 - 2*b48*b148 - 2*
     b48*b236 + 2*b236 + 2*b48*b419 + 2*b419 + 2*b49*b50 - 2*b49*b259 + 4*b259
      + 2*b49*b365 - 4*b365 - 2*b49*b393 + 2*b393 + 2*b50*b65 - 2*b50*b222 + 2*
     b222 - 2*b50*b296 + 2*b296 - 2*b51*b52 + 2*b51*b105 + 2*b51*b365 - 2*b51*
     b429 + 4*b429 + 2*b52*b154 + 2*b52*b155 - 2*b53*b125 + 2*b53*b283 - 2*b283
      - 2*b53*b403 + 2*b54*b55 - 2*b54*b212 - 2*b54*b443 + 2*b54*b522 + 2*b522
      - 2*b55*b480 + 2*b480 + 2*b56*b70 - 2*b56*b273 + 4*b273 + 2*b56*b327 - 4*
     b327 - 2*b56*b417 + 4*b417 - 2*b57*b137 + 2*b57*b192 + 2*b57*b214 - 2*b57*
     b231 + 2*b231 - 2*b58*b214 + 2*b58*b457 + 2*b457 - 2*b58*b497 + 4*b497 + 2
     *b59*b248 + 2*b248 + 2*b59*b421 - 2*b59*b424 - 2*b59*b457 + 2*b60*b94 - 2*
     b60*b277 + 2*b60*b394 - 4*b394 - 2*b60*b466 + 4*b466 - 2*b61*b290 + 4*b290
      + 2*b61*b354 - 4*b354 + 2*b61*b416 - 2*b416 - 2*b61*b449 + 4*b449 - 2*b62
     *b313 + 2*b62*b416 + 2*b62*b450 - 2*b450 - 2*b62*b531 - 2*b63*b128 + 2*b63
     *b198 + 2*b63*b216 - 2*b63*b228 + 2*b228 - 2*b64*b216 + 2*b64*b422 + 2*
     b422 - 2*b64*b540 + 4*b540 + 2*b65*b390 - 2*b65*b422 - 2*b65*b460 + 2*b66*
     b84 - 2*b66*b259 + 2*b66*b427 - 4*b427 - 2*b66*b506 + 4*b506 - 2*b67*b211
      - 2*b67*b258 + 2*b67*b383 - 4*b383 + 2*b67*b445 + 2*b445 - 2*b68*b311 + 4
     *b311 + 2*b68*b383 + 2*b68*b448 - 4*b448 - 2*b68*b489 + 4*b489 - 2*b69*b70
      + 2*b69*b136 + 2*b69*b448 - 2*b69*b491 + 2*b491 - 2*b70*b152 + 2*b70*b171
      - 2*b71*b90 - 2*b71*b123 + 2*b71*b204 + 2*b71*b219 + 2*b72*b81 - 2*b72*
     b391 + 2*b72*b543 - 2*b73*b278 + 4*b278 + 2*b73*b463 - 2*b463 + 2*b73*b465
      - 2*b465 - 2*b73*b548 + 4*b548 + 2*b74*b106 - 2*b74*b397 + 4*b397 + 2*b74
     *b465 + 2*b75*b76 - 2*b75*b371 + 2*b371 + 2*b75*b515 - 2*b75*b557 + 4*b557
      + 2*b76*b182 - 2*b76*b300 + 4*b300 - 2*b76*b432 + 4*b432 - 2*b77*b213 - 2
     *b77*b273 + 2*b77*b411 + 2*b77*b528 - 2*b528 - 2*b78*b79 + 2*b78*b127 + 2*
     b78*b488 - 2*b488 - 2*b78*b533 + 2*b533 - 2*b79*b146 + 2*b79*b179 + 2*b80*
     b387 + 2*b387 + 2*b80*b454 - 2*b454 - 2*b80*b536 - 2*b81*b360 + 2*b360 - 2
     *b81*b362 + 4*b362 - 2*b82*b335 + 2*b335 + 2*b82*b539 - 2*b539 - 2*b83*b84
      + 2*b83*b95 - 2*b83*b280 + 2*b280 + 2*b83*b505 - 2*b505 - 2*b84*b155 + 2*
     b84*b549 + 2*b549 + 2*b85*b177 - 2*b85*b282 + 4*b282 - 2*b85*b399 + 4*b399
      + 2*b85*b471 + 2*b86*b521 + 2*b521 + 2*b87*b98 - 2*b87*b290 + 2*b87*b382
      + 2*b382 - 2*b88*b89 + 2*b88*b122 + 2*b88*b530 - 2*b530 - 2*b89*b135 + 2*
     b89*b183 + 2*b90*b91 - 2*b90*b418 + 2*b418 + 2*b90*b494 - 2*b494 - 2*b91*
     b122 + 2*b91*b197 - 2*b91*b358 + 2*b92*b93 - 2*b92*b249 + 2*b249 - 2*b92*
     b261 + 2*b92*b546 + 2*b546 - 2*b93*b193 + 2*b93*b460 - 2*b93*b461 + 2*b461
      - 2*b94*b225 + 2*b225 - 2*b94*b317 - 2*b317 + 2*b94*b507 + 2*b507 - 2*b95
     *b225 + 2*b95*b243 + 2*b243 - 2*b95*b251 + 4*b251 + 2*b96*b168 - 2*b96*
     b264 + 4*b264 - 2*b96*b370 + 4*b370 + 2*b96*b435 - 2*b435 - 2*b97*b271 + 2
     *b97*b481 + 2*b481 - 2*b98*b309 + 2*b309 + 2*b98*b447 + 2*b447 - 2*b98*
     b487 + 4*b487 + 2*b99*b100 + 2*b99*b115 - 2*b99*b329 + 2*b100*b135 - 2*
     b100*b385 + 4*b385 - 2*b100*b447 - 2*b101*b115 + 2*b101*b228 - 2*b101*b331
      + 2*b101*b453 - 2*b453 + 2*b102*b536 - 2*b102*b537 + 2*b537 - 2*b102*b538
      + 4*b538 - 2*b103*b200 + 2*b103*b424 - 2*b103*b425 + 2*b425 + 2*b103*b503
      - 2*b503 + 2*b104*b155 + 2*b104*b227 + 2*b227 - 2*b104*b279 - 2*b104*b504
      + 2*b504 + 2*b105*b194 - 2*b105*b227 - 2*b105*b337 - 2*b337 - 2*b106*b227
      + 2*b106*b238 + 2*b238 - 2*b106*b263 + 4*b263 + 2*b107*b163 - 2*b107*b252
      + 2*b252 - 2*b107*b340 + 4*b340 + 2*b107*b402 - 2*b402 - 2*b108*b257 + 2*
     b108*b441 + 2*b441 + 2*b109*b291 + 2*b109*b328 - 2*b328 - 2*b109*b357 + 4*
     b357 - 2*b109*b415 + 2*b415 - 2*b110*b199 + 2*b110*b494 - 2*b110*b495 + 4*
     b495 + 2*b111*b229 + 2*b229 - 2*b111*b262 + 4*b262 + 2*b111*b317 - 2*b111*
     b464 + 2*b464 - 2*b112*b118 - 2*b112*b320 + 4*b320 + 2*b112*b373 + 2*b112*
     b556 + 2*b556 + 2*b113*b126 - 2*b113*b230 + 2*b230 + 2*b113*b285 + 2*b285
      - 2*b113*b303 + 4*b303 - 2*b114*b121 + 2*b114*b312 - 2*b114*b330 + 4*b330
      + 2*b114*b355 - 2*b355 - 2*b115*b312 + 2*b115*b492 - 2*b116*b205 + 2*b116
     *b454 - 2*b116*b455 + 4*b455 + 2*b117*b232 + 2*b232 - 2*b117*b250 + 4*b250
      + 2*b117*b337 - 2*b117*b428 + 2*b428 + 2*b118*b119 + 2*b118*b120 - 2*b118
     *b233 + 2*b233 - 2*b119*b264 + 2*b119*b298 + 2*b298 - 2*b119*b338 + 4*b338
      - 2*b120*b265 - 2*b120*b300 + 2*b120*b343 + 2*b121*b196 + 2*b121*b383 - 2
     *b121*b384 - 2*b122*b330 + 2*b122*b534 + 2*b123*b534 - 2*b124*b132 + 2*
     b124*b237 + 2*b237 - 2*b124*b242 + 4*b242 + 2*b124*b366 - 2*b366 + 2*b125*
     b252 - 2*b125*b282 - 2*b126*b239 + 2*b239 + 2*b127*b129 - 2*b127*b357 - 2*
     b127*b387 + 2*b128*b129 - 2*b128*b293 - 2*b129*b332 + 2*b130*b360 - 2*b130
     *b392 - 2*b130*b495 + 2*b130*b541 - 2*b131*b181 + 2*b131*b186 + 2*b131*
     b365 - 2*b131*b544 + 2*b544 + 2*b132*b200 + 2*b132*b394 - 2*b132*b395 + 2*
     b133*b165 - 2*b133*b326 + 2*b326 + 2*b133*b408 - 2*b134*b165 + 2*b134*b196
      + 2*b134*b310 - 2*b134*b382 + 2*b135*b310 - 2*b135*b311 + 2*b136*b138 - 2
     *b136*b385 - 2*b136*b418 + 2*b137*b138 - 2*b137*b274 + 2*b274 - 2*b138*
     b314 - 2*b138*b533 + 2*b139*b389 + 2*b389 - 2*b139*b423 - 2*b139*b455 + 2*
     b139*b498 + 2*b140*b181 - 2*b140*b297 + 4*b297 + 2*b140*b336 - 2*b140*b500
      + 2*b500 - 2*b141*b142 + 2*b141*b143 - 2*b141*b244 + 2*b244 + 2*b141*b283
      + 2*b142*b182 + 2*b142*b301 + 2*b301 - 2*b142*b346 + 4*b346 - 2*b143*b253
      + 2*b253 + 2*b143*b255 + 2*b255 - 2*b143*b269 + 4*b269 + 2*b144*b157 + 2*
     b144*b380 + 2*b380 - 2*b144*b410 + 4*b410 - 2*b144*b441 - 2*b145*b157 + 2*
     b145*b191 + 2*b145*b289 - 2*b145*b353 + 2*b353 + 2*b146*b289 - 2*b146*b290
      + 2*b146*b530 - 2*b147*b203 + 2*b147*b450 + 2*b147*b530 - 2*b147*b531 + 2
     *b148*b149 - 2*b148*b275 + 2*b275 - 2*b149*b292 + 2*b149*b450 - 2*b149*
     b491 + 2*b150*b175 - 2*b150*b278 + 2*b150*b316 - 2*b150*b461 + 2*b151*b187
      - 2*b151*b253 - 2*b151*b375 + 4*b375 + 2*b152*b272 - 2*b152*b273 + 2*b152
     *b488 - 2*b153*b207 + 2*b153*b488 - 2*b153*b489 + 2*b153*b491 - 2*b154*
     b259 + 2*b154*b364 + 2*b364 - 2*b154*b425 - 2*b155*b297 + 2*b156*b163 + 2*
     b156*b267 + 2*b267 - 2*b156*b284 + 4*b284 - 2*b156*b556 + 2*b157*b158 - 2*
     b157*b308 + 2*b308 - 2*b158*b311 - 2*b158*b484 + 4*b484 - 2*b159*b258 - 2*
     b159*b416 + 2*b159*b448 - 2*b160*b189 + 2*b160*b249 + 2*b160*b392 - 2*b160
     *b426 - 2*b426 + 2*b161*b277 - 2*b161*b278 - 2*b161*b465 + 2*b161*b547 - 2
     *b547 + 2*b162*b467 + 2*b467 + 2*b162*b547 - 2*b162*b548 - 2*b162*b551 + 2
     *b551 - 2*b163*b514 - 2*b163*b515 - 2*b164*b165 + 2*b164*b257 + 2*b164*
     b307 + 2*b307 - 2*b164*b524 + 4*b524 + 2*b165*b166 + 2*b166*b258 - 2*b166*
     b290 - 2*b166*b444 + 4*b444 + 2*b167*b505 - 2*b167*b506 + 2*b167*b508 + 2*
     b508 - 2*b167*b509 + 2*b509 + 2*b168*b266 - 2*b266 - 2*b168*b470 + 2*b470
      - 2*b168*b472 + 2*b472 + 2*b169*b170 + 2*b169*b271 - 2*b169*b353 - 2*b169
     *b410 + 2*b170*b178 - 2*b170*b351 + 2*b351 - 2*b170*b381 - 2*b171*b384 - 2
     *b171*b386 + 2*b172*b275 + 2*b172*b534 - 2*b172*b535 + 4*b535 - 2*b172*
     b537 + 2*b173*b174 + 2*b173*b274 - 2*b173*b275 - 2*b173*b334 + 2*b334 - 2*
     b174*b388 - 2*b174*b421 + 2*b174*b496 + 2*b175*b189 - 2*b175*b499 + 2*b499
      - 2*b175*b501 - 2*b501 + 2*b176*b465 - 2*b176*b466 - 2*b176*b468 + 2*b468
      + 2*b176*b550 + 2*b550 + 2*b177*b283 - 2*b177*b434 + 4*b434 - 2*b177*b437
      + 2*b437 - 2*b178*b325 + 2*b325 - 2*b179*b356 - 2*b179*b358 - 2*b180*b199
      + 2*b180*b294 + 2*b294 + 2*b180*b492 - 2*b180*b493 + 4*b493 + 2*b181*b185
      - 2*b181*b459 + 2*b459 - 2*b182*b401 + 4*b401 - 2*b182*b404 + 2*b404 - 2*
     b183*b329 - 2*b183*b331 - 2*b184*b205 + 2*b184*b315 + 2*b315 + 2*b184*b451
      - 2*b184*b452 + 2*b452 + 2*b185*b421 - 2*b185*b422 - 2*b185*b425 + 2*b186
     *b317 - 2*b186*b545 + 2*b545 - 2*b186*b546 + 2*b187*b371 - 2*b187*b372 + 4
     *b372 - 2*b187*b374 + 2*b374 + 2*b188*b328 + 2*b188*b526 - 2*b526 - 2*b188
     *b527 + 2*b527 - 2*b188*b529 + 4*b529 + 2*b189*b390 - 2*b189*b391 + 2*b190
     *b337 + 2*b190*b501 - 2*b190*b502 - 2*b190*b504 + 2*b191*b355 - 2*b191*
     b486 + 2*b486 - 2*b191*b487 - 2*b192*b360 - 2*b192*b455 + 2*b192*b537 + 2*
     b193*b366 + 2*b193*b462 - 2*b462 - 2*b193*b464 + 2*b194*b195 - 2*b194*b367
      - 2*b194*b468 + 2*b195*b369 + 2*b369 - 2*b195*b431 + 4*b431 - 2*b195*b549
      - 2*b196*b446 + 2*b446 - 2*b196*b447 + 2*b197*b199 - 2*b197*b387 - 2*b197
     *b537 + 2*b198*b199 - 2*b198*b389 - 2*b198*b495 + 2*b200*b426 - 2*b200*
     b428 + 2*b201*b202 - 2*b201*b406 + 2*b406 - 2*b202*b209 + 2*b202*b560 + 2*
     b560 - 2*b202*b561 + 4*b561 + 2*b203*b418 + 2*b203*b532 - 2*b203*b535 + 2*
     b204*b205 - 2*b204*b420 + 2*b420 - 2*b204*b538 + 2*b205*b453 - 2*b206*b439
      + 4*b439 + 2*b206*b562 - 2*b562 + 2*b207*b452 + 2*b207*b490 - 2*b490 - 2*
     b207*b493 + 2*b208*b470 + 2*b208*b552 + 2*b552 - 2*b208*b553 + 4*b553 - 2*
     b208*b555 + 4*b555 + 2*b209*b562 + 2*b210*b436 - 2*b436 - 2*b210*b474 + 2*
     b211*b247 + 2*b211*b523 + 2*b523 + 2*b213*b241 - 2*b241 + 2*b213*b483 + 2*
     b483 - 2*b214*b274 - 2*b215*b480 - 2*b216*b275 - 2*b217*b271 + 2*b217 - 2*
     b217*b520 - 2*b218*b309 - 2*b219*b294 - 2*b220*b257 - 2*b221*b315 + 2*b221
     *b454 - 2*b222*b393 + 2*b222*b456 - 2*b222*b497 - 2*b223*b333 + 2*b333 + 2
     *b223*b494 - 2*b224*b363 + 2*b224 + 2*b363 + 2*b224*b496 - 2*b224*b540 - 2
     *b224*b543 - 2*b225*b298 + 2*b225*b547 - 2*b226*b234 + 2*b226 + 2*b234 - 2
     *b226*b477 + 4*b477 - 2*b227*b318 + 4*b318 - 2*b228*b452 - 2*b228*b536 - 2
     *b229*b280 - 2*b229*b338 - 2*b229*b367 - 2*b230*b245 + 2*b245 + 2*b231*
     b451 - 2*b231*b493 - 2*b231*b494 - 2*b232*b298 - 2*b232*b368 + 4*b368 - 2*
     b232*b395 + 2*b233*b280 - 2*b233*b282 - 2*b233*b368 - 2*b234*b235 + 2*b235
      + 2*b234*b268 + 2*b268 - 2*b234*b322 + 4*b322 - 2*b235*b255 - 2*b236*b454
      + 2*b236*b492 - 2*b236*b535 - 2*b237*b318 - 2*b237*b396 + 4*b396 - 2*b237
     *b429 - 2*b238*b252 - 2*b238*b300 - 2*b238*b396 - 2*b239*b240 + 2*b240 + 2
     *b239*b254 + 2*b254 - 2*b239*b348 + 4*b348 - 2*b240*b269 - 2*b241*b272 + 2
     *b241*b327 + 2*b241*b525 + 2*b525 - 2*b242*b338 - 2*b242*b430 + 4*b430 - 2
     *b242*b466 - 2*b243*b264 - 2*b243*b320 - 2*b243*b430 + 2*b244*b245 - 2*
     b244*b267 - 2*b244*b286 + 4*b286 - 2*b245*b246 + 2*b246 - 2*b245*b376 + 4*
     b376 - 2*b246*b286 + 2*b247*b354 + 2*b247*b485 + 2*b485 - 2*b248*b249 - 2*
     b248*b276 + 2*b276 - 2*b248*b362 - 2*b249*b277 - 2*b250*b368 - 2*b250*b467
      - 2*b250*b506 - 2*b251*b282 - 2*b251*b340 - 2*b251*b467 - 2*b252*b510 + 4
     *b510 - 2*b253*b254 + 2*b253*b266 - 2*b254*b284 - 2*b254*b304 + 4*b304 - 2
     *b255*b256 + 2*b256 - 2*b255*b560 - 2*b256*b304 - 2*b259*b261 - 2*b260*
     b297 + 2*b260*b503 + 2*b260*b505 - 2*b261*b505 - 2*b262*b396 - 2*b262*b508
      - 2*b262*b548 - 2*b263*b300 - 2*b263*b370 - 2*b263*b508 - 2*b264*b341 + 4
     *b341 + 2*b265*b266 - 2*b266*b302 + 4*b302 - 2*b267*b268 - 2*b267*b345 + 2
     *b345 - 2*b268*b302 - 2*b268*b323 + 4*b323 - 2*b269*b270 + 2*b270 - 2*b269
     *b517 + 2*b517 - 2*b270*b323 + 2*b272*b526 - 2*b273*b412 + 4*b412 - 2*b274
     *b332 - 2*b276*b278 - 2*b276*b363 + 2*b276*b394 - 2*b279*b430 - 2*b279*
     b550 - 2*b280*b281 + 4*b281 - 2*b281*b320 - 2*b281*b399 - 2*b281*b550 - 2*
     b283*b321 + 4*b321 - 2*b284*b285 - 2*b284*b374 - 2*b285*b321 - 2*b285*b349
      - 2*b286*b287 + 2*b287 - 2*b286*b475 + 4*b475 - 2*b287*b349 - 2*b288*b326
      + 2*b288 + 2*b288*b352 + 2*b352 - 2*b288*b444 - 2*b288*b481 - 2*b291*b313
      - 2*b291*b356 - 2*b292*b294 - 2*b293*b314 + 2*b293*b359 + 2*b359 - 2*b294
     *b359 - 2*b295*b359 - 2*b295*b361 + 2*b361 - 2*b295*b456 - 2*b296*b297 - 2
     *b296*b335 + 2*b296*b427 - 2*b298*b299 + 2*b299 - 2*b299*b340 - 2*b299*
     b432 + 2*b299*b551 - 2*b301*b341 - 2*b301*b436 - 2*b301*b555 - 2*b302*b303
      - 2*b302*b404 - 2*b303*b346 - 2*b303*b377 + 2*b377 - 2*b304*b305 + 2*b305
      - 2*b304*b518 - 2*b305*b377 - 2*b306*b307 - 2*b307*b379 + 2*b379 - 2*b307
     *b409 + 2*b308*b325 - 2*b308*b484 - 2*b308*b521 - 2*b309*b311 + 2*b309*
     b353 - 2*b312*b384 + 2*b313*b451 - 2*b314*b315 - 2*b315*b388 + 2*b316*b317
      - 2*b318*b319 + 2*b319 - 2*b318*b510 - 2*b319*b370 - 2*b319*b469 + 4*b469
      + 2*b319*b509 - 2*b320*b371 - 2*b321*b322 - 2*b321*b437 - 2*b322*b375 - 2
     *b322*b406 - 2*b323*b324 + 2*b324 - 2*b323*b561 - 2*b324*b406 - 2*b325*
     b407 + 2*b407 - 2*b325*b442 + 2*b442 - 2*b326*b412 + 2*b326*b526 + 2*b327*
     b328 + 2*b327*b413 + 2*b413 - 2*b328*b329 - 2*b330*b331 - 2*b330*b417 - 2*
     b332*b333 - 2*b333*b419 + 2*b333*b453 - 2*b334*b390 - 2*b334*b419 + 2*b334
     *b539 - 2*b335*b392 + 2*b335*b501 + 2*b336*b337 - 2*b338*b339 + 2*b339 - 2
     *b339*b399 + 2*b339*b468 - 2*b339*b512 + 4*b512 - 2*b340*b342 + 4*b342 - 2
     *b341*b344 - 2*b341*b513 + 4*b513 - 2*b342*b344 - 2*b342*b471 - 2*b342*
     b512 + 2*b343*b345 - 2*b343*b470 - 2*b344*b345 - 2*b345*b405 + 4*b405 - 2*
     b346*b348 - 2*b346*b472 + 2*b347*b377 - 2*b347*b439 + 2*b347*b559 - 2*b348
     *b405 - 2*b348*b439 - 2*b349*b350 + 2*b350 - 2*b350*b439 - 2*b351*b352 - 2
     *b352*b440 + 2*b440 - 2*b352*b482 + 2*b482 - 2*b353*b482 + 2*b354*b355 + 2
     *b354*b446 - 2*b355*b356 - 2*b357*b358 - 2*b357*b449 - 2*b359*b360 - 2*
     b361*b362 + 2*b361*b420 - 2*b361*b458 - 2*b362*b364 - 2*b363*b423 + 2*b363
     *b462 - 2*b364*b462 - 2*b364*b542 + 2*b542 + 2*b365*b366 - 2*b366*b367 - 2
     *b368*b369 - 2*b369*b432 - 2*b369*b554 + 4*b554 - 2*b370*b372 - 2*b371*
     b469 - 2*b372*b435 - 2*b372*b554 + 2*b373*b374 - 2*b373*b434 - 2*b374*b438
      - 2*b375*b376 - 2*b375*b515 - 2*b376*b438 - 2*b376*b476 - 2*b377*b378 + 2
     *b378 - 2*b378*b476 - 2*b379*b380 - 2*b380*b479 + 2*b479 - 2*b380*b522 - 2
     *b381*b382 - 2*b381*b444 - 2*b382*b522 + 2*b383*b486 - 2*b385*b386 - 2*
     b385*b489 - 2*b386*b387 - 2*b388*b389 - 2*b389*b391 + 2*b393*b426 - 2*b393
     *b458 + 2*b394*b501 - 2*b395*b507 - 2*b396*b398 + 4*b398 - 2*b397*b398 - 2
     *b397*b507 - 2*b397*b510 - 2*b398*b400 - 2*b398*b469 - 2*b399*b401 - 2*
     b400*b401 - 2*b400*b511 + 4*b511 - 2*b401*b402 + 2*b402*b404 + 2*b402*b436
      + 2*b403*b435 + 2*b403*b473 + 2*b473 - 2*b404*b473 - 2*b405*b557 - 2*b405
     *b560 + 2*b406*b474 - 2*b407*b408 - 2*b408*b519 + 2*b519 - 2*b409*b411 - 2
     *b409*b484 - 2*b410*b412 - 2*b410*b413 - 2*b411*b413 - 2*b412*b414 - 2*
     b413*b414 - 2*b414*b415 - 2*b415*b417 + 2*b415*b528 + 2*b416*b532 - 2*b417
     *b532 - 2*b418*b453 - 2*b419*b420 - 2*b420*b422 + 2*b423*b425 - 2*b424*
     b498 + 2*b426*b463 + 2*b427*b428 + 2*b427*b462 - 2*b428*b429 - 2*b429*b549
      - 2*b430*b431 - 2*b431*b433 - 2*b431*b512 - 2*b432*b434 - 2*b433*b434 - 2
     *b433*b553 + 2*b435*b437 + 2*b436*b516 + 2*b516 - 2*b437*b516 - 2*b438*
     b517 - 2*b440*b441 - 2*b441*b443 - 2*b442*b445 + 2*b442*b520 - 2*b442*b524
      - 2*b443*b445 - 2*b444*b446 - 2*b445*b446 - 2*b447*b449 + 2*b448*b490 - 2
     *b449*b490 - 2*b450*b452 - 2*b455*b457 + 2*b456*b459 - 2*b457*b459 + 2*
     b458*b461 - 2*b459*b461 - 2*b460*b541 + 2*b463*b464 - 2*b463*b545 - 2*b464
     *b466 - 2*b467*b552 - 2*b468*b552 - 2*b469*b470 + 2*b471*b472 - 2*b472*
     b558 - 2*b473*b475 - 2*b473*b560 - 2*b474*b477 - 2*b475*b477 - 2*b475*b558
      - 2*b476*b478 + 2*b478 - 2*b477*b478 - 2*b479*b481 + 2*b480*b482 - 2*b480
     *b483 - 2*b481*b483 - 2*b482*b485 - 2*b483*b485 - 2*b484*b486 - 2*b485*
     b486 - 2*b487*b489 - 2*b487*b530 - 2*b488*b529 + 2*b490*b533 - 2*b491*b493
      - 2*b495*b497 + 2*b496*b499 - 2*b497*b499 + 2*b498*b500 - 2*b499*b500 - 2
     *b500*b502 - 2*b502*b503 + 2*b503*b504 - 2*b504*b506 - 2*b507*b509 - 2*
     b508*b511 - 2*b509*b511 - 2*b510*b513 - 2*b511*b513 - 2*b512*b514 - 2*b513
     *b514 - 2*b516*b517 - 2*b516*b518 + 2*b517*b562 - 2*b518*b562 - 2*b519*
     b521 - 2*b520*b523 - 2*b521*b523 - 2*b522*b525 - 2*b523*b525 - 2*b524*b526
      - 2*b524*b527 - 2*b525*b527 + 2*b527*b528 - 2*b528*b529 - 2*b529*b531 - 2
     *b533*b535 - 2*b538*b539 - 2*b538*b540 + 2*b539*b542 - 2*b540*b542 + 2*
     b541*b544 - 2*b542*b544 + 2*b543*b545 - 2*b544*b545 - 2*b546*b547 - 2*b546
     *b548 - 2*b549*b551 - 2*b550*b553 - 2*b551*b553 - 2*b552*b554 - 2*b554*
     b555 - 2*b555*b556 - 2*b556*b557 - 2*b557*b559 - 2*b558*b561 - 2*b559*b561
      - 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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