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A Library of Quadratic Programming Instances

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QPLIB_2187

Formats gms lp mod qplib
Problem type probtype LMQ
Solution point objective value solobjvalue 13.00000000 (gdx, sol)
Solution point infeasibility solinfeasibility 5.6843e-14
Donor donor Polip2011
#Variables nvars 285
#Binary Variables nbinvars 90
#Integer Variables nintvars 0
#Bounded non-binary Variables nboundedvars 0
#Variables with only one bound nsingleboundedvars 90
#Nonlinear Variables nnlvars 180
#Nonlinear Binary Variables nnlbinvars 0
#Nonlinear Integer Variables nnlintvars 0
Objective Sense objsense min
Objective type objtype linear
Objective curvature objcurvature linear
#Negative eigenvalues in objective matrix nobjquadnegev  
#Positive eigenvalues in objective matrix nobjquadposev  
#Nonzeros in Objective nobjnz 90
#Nonlinear Nonzeros in Objective nobjnlnz 0
#Quadratic Terms in Objective nobjquadnz 0
#Square Terms in Objective nobjquaddiagnz 0
#Constraints ncons 270
#Linear Constraints nlincons 180
#Quadratic Constraints nquadcons 90
#Diagonal Quadratic Constraints ndiagquadcons 0
Constraints curvature conscurvature indefinite
#Convex Nonlinear Constraints nconvexnlcons 0
#Concave Nonlinear Constraints nconcavenlcons 0
#Indefinite Nonlinear Constraints nindefinitenlcons 90
#Nonzeros in Jacobian njacobiannz 1786
#Nonlinear Nonzeros in Jacobian njacobiannlnz 180
#Nonzeros in (Upper-Left) Hessian of Lagrangian nlaghessiannz 180
#Nonzeros in Diagonal of Hessian of Lagrangian nlaghessiandiagnz 0
#Blocks in Hessian of Lagrangian nlaghessianblocks 90
Minimal blocksize in Hessian of Lagrangian laghessianminblocksize 2
Maximal blocksize in Hessian of Lagrangian laghessianmaxblocksize 2
Average blocksize in Hessian of Lagrangian laghessianavgblocksize 2.0
Sparsity Jacobian
Sparsity Lag. Hessian

QPLIB_2187.gms

$offlisting
*  
*  Equation counts
*      Total        E        G        L        N        X        C        B
*        271      181        0       90        0        0        0        0
*  
*  Variable counts
*                   x        b        i      s1s      s2s       sc       si
*      Total     cont   binary  integer     sos1     sos2    scont     sint
*        286      196       90        0        0        0        0        0
*  FX      0        0        0        0        0        0        0        0
*  
*  Nonzero counts
*      Total    const       NL      DLL
*       1877     1697      180        0
*
*  Solve m using MIQCP minimizing 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,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,x214,x215,x216,x217,x218,x219
          ,x220,x221,x222,x223,x224,x225,x226,x227,x228,x229,x230,x231,x232
          ,x233,x234,x235,x236,x237,x238,x239,x240,x241,x242,x243,x244,x245
          ,x246,x247,x248,x249,x250,x251,x252,x253,x254,x255,x256,x257,x258
          ,x259,x260,x261,x262,x263,x264,x265,x266,x267,x268,x269,x270,x271
          ,x272,x273,x274,x275,x276,x277,x278,x279,x280,x281,x282,x283,x284
          ,x285,x286;

Positive Variables  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;

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;

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;


e1..  - 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 =E= 0;

e2..  - 66*x92 + 49*x93 - 81*x94 + 73*x95 + 15*x96 + 56*x97 + 38*x98 - 26*x99
      + 74*x100 + 48*x101 - 11*x102 - 29*x103 + 46*x104 - 48*x105 - 21*x106
      - x107 =L= 55;

e3..    68*x92 + 14*x93 + 42*x94 - 84*x95 - 9*x96 - 78*x97 + 8*x98 - 22*x99
      + 13*x100 + 91*x101 + 73*x102 - 68*x103 - 45*x104 - 48*x105 + 84*x106
      - x108 =L= -13;

e4..    57*x92 - 75*x93 - 84*x94 + 88*x95 - 95*x96 - 70*x97 - 24*x98 - 69*x99
      + 5*x100 + 75*x101 - 14*x102 - 47*x103 - 37*x104 + 53*x105 - 79*x106
      - x109 =L= 53;

e5..    40*x92 - 57*x93 + 52*x94 - 18*x95 + 29*x96 + 85*x97 + 37*x99 - 13*x100
      + 21*x101 + 14*x102 + 26*x103 - 7*x104 + 26*x105 - 73*x106 - x110 =L= 92;

e6..  - 71*x92 - 11*x93 - 35*x94 + 90*x95 - 29*x96 - 20*x97 - 80*x98 + 90*x99
      + 96*x100 + 14*x101 + 73*x102 - 70*x103 + 81*x104 + 29*x105 - 88*x106
      - x111 =L= 90;

e7..    93*x92 + 56*x93 + 60*x94 + 13*x95 - 44*x96 + 92*x97 + 15*x98 - 13*x99
      - 25*x100 + 84*x101 - 95*x102 + 53*x103 + 44*x104 + 17*x105 - 15*x106
      - x112 =L= 28;

e8..    49*x92 - 87*x93 - 90*x94 + 54*x95 + 40*x96 - 76*x97 - 40*x98 - 86*x99
      + 37*x100 - 27*x101 + 45*x102 - 61*x103 - 69*x104 - 68*x105 + 66*x106
      - x113 =L= 9;

e9..  - 37*x92 + 5*x93 - 13*x94 - 58*x95 + 45*x96 - 100*x97 + 16*x98 - 5*x99
      + 87*x100 + 52*x101 - 75*x102 - 98*x103 + 68*x105 + 70*x106 - x114
      =L= -82;

e10..    71*x92 + 57*x93 + 15*x94 - 81*x95 + 65*x96 + 49*x97 + 81*x98 + x99
       + 76*x100 + 92*x101 + 12*x102 - 5*x103 - 17*x104 + 29*x105 + 75*x106
       - x115 =L= 16;

e11..  - 56*x92 + 99*x93 - 69*x94 + 38*x95 + 40*x96 + 97*x97 + 29*x98 + 30*x99
       + 68*x100 + 36*x101 + 93*x102 - 34*x103 + 59*x104 - 68*x105 + 72*x106
       - x116 =L= 20;

e12..  - 16*x92 + 96*x93 + 73*x94 - 7*x95 - 51*x96 + 68*x97 + 68*x98 + 47*x99
       - 74*x100 - 5*x101 + 56*x102 + 13*x104 - 11*x105 - 93*x106 - x117
       =L= -34;

e13..  - 15*x92 + 16*x93 - 83*x94 + 34*x95 + 17*x96 - 53*x97 + 48*x98 + 91*x99
       + 72*x100 - 86*x101 + 7*x102 - 24*x103 - 100*x104 + 43*x105 - 90*x106
       - x118 =L= -96;

e14..    51*x92 + 25*x93 + 86*x94 + 9*x95 - 17*x96 - 22*x97 - 61*x98 - 39*x99
       - 58*x100 + 21*x101 - 26*x102 - 68*x103 - 8*x104 + 60*x105 - 64*x106
       - x119 =L= 43;

e15..  - 5*x92 - 72*x93 + 26*x94 - 52*x95 - 76*x96 + 74*x97 - 80*x98 + 50*x99
       - 24*x100 + 10*x101 - 85*x102 - 25*x103 + 24*x104 + 57*x105 - 16*x106
       - x120 =L= 64;

e16..    9*x92 + 45*x93 - 2*x94 - 48*x95 - 2*x97 - 2*x98 + 69*x99 + 83*x100
       - 28*x101 + 8*x102 + 20*x103 + 21*x104 - 12*x105 + 41*x106 - x121
       =L= -57;

e17..    52*x92 - 39*x93 + 57*x94 - 82*x95 + 79*x96 + 86*x97 + 93*x98 + 23*x99
       - 87*x100 - 78*x101 + 25*x102 - 86*x103 + 11*x104 - 53*x105 + 22*x106
       - x122 =L= 86;

e18..    13*x92 + 14*x93 - 7*x94 - 76*x95 - 53*x96 + 99*x97 + 11*x98 + 72*x99
       - 43*x100 + 45*x101 + 64*x102 - 2*x103 + 18*x104 - 78*x105 - 69*x106
       - x123 =L= 39;

e19..    18*x92 + 76*x93 - 14*x94 - 58*x95 - 64*x96 + 37*x97 - 57*x98 - 47*x99
       - 56*x100 - x101 - 47*x102 - 11*x103 - 53*x104 - 41*x105 + 29*x106
       - x124 =L= 49;

e20..    38*x92 - 15*x93 + 51*x94 - 20*x95 - 25*x96 + 27*x97 + 6*x98 + 79*x99
       + 30*x100 + 86*x101 - 99*x102 - 66*x103 + 28*x104 + 52*x105 + 34*x106
       - x125 =L= 53;

e21..    50*x92 + 79*x93 - 57*x94 + 26*x95 + 19*x96 + 24*x97 - 27*x98 - 86*x99
       - 50*x100 - 28*x101 - 3*x102 - 42*x104 - 53*x105 + 32*x106 - x126 =L= 79
      ;

e22..    33*x92 - 92*x93 + 67*x94 + 13*x95 - 64*x96 - 95*x97 - 5*x98 + 12*x99
       - 67*x100 + 21*x101 + 28*x102 - 39*x103 + 91*x104 + 52*x105 + 26*x106
       - x127 =L= -87;

e23..  - 74*x92 + 51*x93 - 4*x94 + 42*x95 - 77*x96 + 27*x97 - 20*x98 + 40*x99
       + 56*x100 + 40*x101 - 47*x102 + 55*x103 - 74*x104 - 45*x105 - 84*x106
       - x128 =L= -58;

e24..  - 61*x92 + 23*x93 + 20*x94 + 9*x95 + 13*x96 - 75*x97 - 86*x98 + 76*x99
       - 70*x100 + 12*x101 - 37*x102 - 33*x103 - 59*x104 + 34*x105 - 93*x106
       - x129 =L= -92;

e25..    63*x92 - 88*x93 + 41*x94 - 18*x95 + 77*x96 + 87*x97 - 100*x98 - 30*x99
       + 87*x100 + 98*x101 - 28*x102 + 95*x103 - 95*x104 - 32*x105 + 69*x106
       - x130 =L= -12;

e26..    40*x92 + 13*x93 - 80*x94 - 64*x95 - 52*x96 + 36*x97 + 97*x98 + 2*x99
       + 80*x100 - 7*x101 - 5*x102 - 19*x103 + 51*x104 - 77*x105 - 71*x106
       - x131 =L= 39;

e27..  - 48*x92 + 5*x93 - 87*x94 - 71*x95 - 18*x96 - 84*x97 + 27*x98 - 97*x99
       - 52*x100 + 15*x101 - 68*x102 - 47*x103 - 85*x104 - 71*x105 - 83*x106
       - x132 =L= -72;

e28..  - 6*x92 + 44*x93 - 5*x94 + 11*x95 - x96 - 84*x97 - 41*x98 - 41*x99
       - 34*x100 - 83*x101 - 81*x102 - 60*x103 - 79*x104 - 66*x105 + 66*x106
       - x133 =L= 65;

e29..    84*x92 + 6*x93 - 6*x94 + 39*x95 + x96 + 53*x97 + 96*x98 - 7*x99
       + 33*x100 + 78*x101 + 70*x102 + 50*x103 + 42*x104 - 83*x105 + 59*x106
       - x134 =L= -25;

e30..  - 9*x92 - 27*x93 + 55*x94 + 19*x95 - 89*x96 - 76*x97 + 11*x98 + 30*x99
       - 88*x100 + 4*x101 + 68*x102 - 69*x103 - 100*x104 + 79*x105 - 57*x106
       - x135 =L= -63;

e31..    93*x92 + 63*x93 + 41*x94 + 17*x95 + 35*x96 + 54*x97 - 54*x98 - 57*x99
       - 26*x100 + 64*x101 - 68*x102 + 22*x103 - 76*x104 - 13*x105 - 100*x106
       - x136 =L= 3;

e32..  - 8*x92 + 37*x93 - 94*x94 - 19*x95 - 44*x97 + 99*x98 - 27*x99 - 26*x100
       + 90*x101 - 84*x102 + 22*x103 + 58*x104 - 29*x105 + 94*x106 - x137
       =L= -64;

e33..  - 14*x92 + 56*x93 - 77*x94 + 6*x95 - 52*x96 + 22*x97 + 55*x98 - 64*x99
       - 2*x100 + 86*x101 - 37*x102 - 28*x103 - 80*x104 - 26*x105 + 77*x106
       - x138 =L= 78;

e34..    97*x92 - 79*x93 - 70*x94 + 87*x95 + 56*x96 + 75*x97 - 48*x98 - 75*x99
       + 7*x100 - 31*x101 - 23*x102 - 26*x103 - 5*x104 + 45*x105 + 86*x106
       - x139 =L= -1;

e35..  - 5*x92 + 91*x93 - 40*x94 - 10*x95 + 64*x96 - 24*x97 + 45*x98 - 31*x99
       + 31*x100 + 72*x101 + 32*x102 + 60*x103 + 85*x104 - 36*x105 - 5*x106
       - x140 =L= 13;

e36..  - 15*x92 + 89*x93 - 83*x94 - 15*x95 - 38*x96 + 39*x97 - 29*x98 + 6*x99
       - 78*x100 + 47*x101 + 85*x102 - 72*x103 + 88*x104 - 96*x105 - 20*x106
       - x141 =L= -60;

e37..  - 80*x92 - 93*x93 - 19*x94 - 11*x95 + 36*x96 - 49*x97 + 62*x98 - 81*x99
       + 29*x100 + x101 - 69*x103 + 26*x104 - 79*x105 - 58*x106 - x142 =L= 77;

e38..    97*x92 - 97*x93 + 72*x94 - 76*x95 - 74*x96 + 13*x97 - 74*x98 + 72*x99
       + 8*x100 - 11*x101 - 37*x102 - 14*x103 + 93*x104 + 61*x105 + 44*x106
       - x143 =L= 68;

e39..    86*x92 - 77*x93 - 7*x94 - 22*x95 - 24*x96 - 50*x97 - 74*x98 + 24*x99
       + 23*x100 - 2*x101 + 3*x102 + 56*x103 - 45*x104 - 15*x105 - 79*x106
       - x144 =L= -54;

e40..    80*x92 + 15*x93 + 62*x94 + 56*x95 + 41*x96 - 32*x97 + 87*x98 - 59*x99
       + 44*x100 + 66*x101 - 31*x102 - 35*x103 - 32*x104 + 5*x105 + 10*x106
       - x145 =L= -97;

e41..  - 9*x92 - 50*x94 + x95 - 52*x96 + 21*x97 - 41*x98 + 82*x99 + 13*x100
       - 41*x101 - 3*x102 - 72*x103 + 28*x104 - 74*x105 + 64*x106 - x146 =L= 2;

e42..  - 19*x92 - 69*x93 + 43*x94 - 4*x95 + 43*x96 + 70*x97 + 67*x98 - 5*x99
       + 82*x100 - 84*x101 - 67*x102 + 35*x103 + 53*x104 + 82*x105 - 14*x106
       - x147 =L= 71;

e43..  - 30*x92 + 33*x93 - 57*x94 - 2*x95 - 60*x96 - 18*x97 - 23*x98 + 73*x99
       - 22*x100 + 53*x101 + 12*x102 - 25*x103 + 81*x104 + 69*x105 - 44*x106
       - x148 =L= 71;

e44..    94*x92 + 52*x93 - 68*x94 - 64*x95 + 3*x96 - 38*x97 + 96*x98 + 43*x99
       + 15*x100 - 16*x101 - 17*x102 - 59*x103 + 90*x104 + 76*x105 - 99*x106
       - x149 =L= -84;

e45..  - 42*x92 + 73*x93 + 95*x94 + 28*x95 - 16*x96 + 73*x97 - 37*x98 + 98*x99
       - 85*x100 - 45*x101 + 66*x102 - 94*x103 + 52*x104 - 23*x105 - 54*x106
       - x150 =L= -90;

e46..  - 34*x92 + 95*x93 + 49*x94 + 19*x95 + 23*x96 + 22*x97 + 13*x98 - 34*x99
       + 22*x100 - 21*x101 + 46*x102 - 96*x103 - 23*x104 + 22*x105 + 19*x106
       - x151 =L= 87;

e47..    57*x92 + 63*x93 + 64*x94 + 22*x95 - 38*x96 + 63*x97 - 92*x98 - 62*x99
       + 16*x100 - 65*x101 - 12*x102 + x104 - 7*x105 - 38*x106 - x152 =L= -67;

e48..    50*x92 - 15*x93 + 14*x94 + 69*x95 + 58*x96 - 75*x97 + 85*x98 + 15*x99
       - 11*x100 + 31*x101 - 55*x102 - 93*x103 - 34*x104 - 81*x105 - 18*x106
       - x153 =L= 34;

e49..    5*x92 - 87*x93 + 63*x94 - 79*x95 - 38*x96 + 79*x97 - 71*x98 - 67*x99
       + 68*x100 - 96*x101 + 98*x102 + 11*x103 + 16*x104 - 39*x105 - 74*x106
       - x154 =L= 90;

e50..  - 81*x92 - 75*x93 + 6*x94 - 22*x95 - 57*x96 - 21*x97 - 61*x98 + 92*x99
       + 8*x100 + 41*x101 - 33*x102 + 64*x103 + 7*x104 + 54*x105 - 93*x106
       - x155 =L= 87;

e51..    55*x92 - 9*x93 + 84*x94 - 75*x95 - 88*x96 + 79*x97 - 49*x98 + 79*x99
       - 25*x100 - 97*x101 + 15*x102 + 20*x103 - 88*x104 - 8*x105 + 56*x106
       - x156 =L= -14;

e52..  - 71*x92 - 59*x93 + 83*x94 + 47*x95 - 50*x96 - 42*x97 - 69*x98 + 92*x99
       + 68*x100 - 64*x101 + 35*x102 - 35*x103 - 67*x104 + 58*x105 + 34*x106
       - x157 =L= 35;

e53..  - 51*x92 - 54*x93 + 36*x94 - 38*x95 - 27*x96 + 69*x97 + 72*x98 + 50*x99
       - 77*x100 - 55*x101 + 95*x102 - 92*x103 + 19*x104 + 3*x105 - 19*x106
       - x158 =L= -61;

e54..    34*x92 + 2*x93 + 56*x94 - 6*x95 - 49*x96 - 76*x97 + 26*x98 + 22*x99
       + 6*x100 - 76*x101 - 50*x102 - 95*x103 - 25*x104 - 50*x105 + 21*x106
       - x159 =L= -96;

e55..  - 96*x92 - 46*x93 + 88*x94 + 48*x95 + 2*x96 - 48*x97 + 94*x98 + 32*x99
       + 66*x100 - 91*x101 + 7*x102 - 34*x103 - 30*x104 - 77*x105 - 65*x106
       - x160 =L= 93;

e56..    65*x92 + 22*x93 + 34*x94 - 98*x95 + 99*x96 - 73*x97 - 93*x98 - 14*x99
       + 49*x100 + 54*x101 + 23*x102 - 93*x103 - 63*x104 - 87*x105 - 22*x106
       - x161 =L= 16;

e57..    99*x92 + 91*x93 - 70*x94 + 67*x95 - 18*x96 - 88*x97 - 70*x98 + 80*x99
       + 39*x100 - 11*x101 - 49*x102 - 62*x103 - 32*x104 + 46*x105 - 31*x106
       - x162 =L= 69;

e58..  - 47*x92 + 23*x93 - 78*x94 + 45*x95 - 66*x96 - 94*x97 + 2*x98 - 67*x99
       + 31*x100 - 29*x101 - 5*x102 + 5*x103 + 94*x104 + 77*x105 - 42*x106
       - x163 =L= 63;

e59..  - 36*x92 - 70*x93 + 37*x94 + 45*x95 - 86*x96 + 49*x97 - 22*x98 + 95*x99
       + 3*x100 - 19*x101 - 4*x103 + 54*x104 + 72*x105 + 45*x106 - x164 =L= 61;

e60..    3*x92 - 7*x93 - 22*x94 + 52*x95 - 8*x96 + 71*x97 - 61*x98 + 87*x99
       - 9*x100 - 28*x101 - 65*x102 - 71*x103 - 53*x104 + 13*x105 - x106 - x165
       =L= 52;

e61..  - 26*x92 + 61*x93 + 47*x94 + 44*x95 + 82*x96 - 62*x97 - 21*x98 - 80*x99
       - 77*x100 - 67*x101 + 86*x102 - 62*x103 + 64*x104 + 83*x105 - 66*x106
       - x166 =L= 79;

e62..  - 59*x92 - 96*x93 - 67*x94 - 61*x95 + 37*x96 + 75*x97 - 84*x98 - 61*x99
       + 45*x100 + 67*x101 + 33*x102 + 59*x103 - 93*x104 + 46*x105 - 4*x106
       - x167 =L= 64;

e63..    50*x92 + 51*x93 - 52*x94 - 45*x95 - 23*x96 + 34*x97 + 33*x98 + 56*x99
       - 35*x100 + 45*x101 - 83*x102 - 63*x103 - 25*x104 + 10*x105 + 9*x106
       - x168 =L= 34;

e64..  - 10*x92 + 14*x93 - 27*x94 + 94*x95 + 17*x96 + 73*x97 - 95*x98 - 93*x99
       + 49*x100 - 59*x101 - 29*x102 - 29*x103 + 29*x104 + 74*x105 - 57*x106
       - x169 =L= 97;

e65..    59*x92 - 93*x93 - 24*x94 + 99*x95 - 6*x96 + 17*x97 - 97*x98 + 98*x99
       - 70*x100 - 90*x101 - 71*x102 + 99*x103 - 59*x104 + 41*x105 + 45*x106
       - x170 =L= -31;

e66..  - 85*x92 - 53*x93 + 76*x94 - 78*x95 + 20*x96 - 26*x97 - 35*x98 - 27*x99
       - 79*x100 - 93*x101 - 21*x102 + 52*x103 + 85*x104 + 6*x105 + 5*x106
       - x171 =L= -95;

e67..  - 77*x92 - 14*x93 - 81*x94 - 62*x95 - 8*x96 - 33*x97 + 76*x98 - 15*x99
       + 14*x100 + 15*x101 - 26*x102 - 28*x103 - 70*x104 - 96*x105 + 98*x106
       - x172 =L= -67;

e68..  - 76*x92 + 33*x93 + 16*x94 + 45*x95 - 37*x96 - 30*x97 - 10*x98 - 20*x99
       - 39*x100 - 24*x101 + 79*x102 - 81*x103 + 71*x104 - 86*x105 - 51*x106
       - x173 =L= -63;

e69..    23*x92 + 16*x93 - 58*x94 - 9*x95 + 21*x96 + 86*x97 - 89*x98 - 19*x99
       - 7*x101 + 46*x102 + 78*x103 + 40*x104 - 86*x105 + 2*x106 - x174 =L= 1;

e70..  - 89*x92 + 50*x93 - 80*x94 - 42*x95 + 81*x96 + 73*x97 - 26*x98 - 95*x99
       + 40*x100 - 91*x101 + 16*x102 + 88*x103 + 70*x104 - 10*x105 + 13*x106
       - x175 =L= 61;

e71..    23*x92 - 43*x93 + 5*x94 + 55*x95 - 85*x96 + 54*x97 - 51*x98 + 63*x99
       - 32*x100 - 84*x101 - 64*x102 - 23*x103 + 17*x104 + 72*x105 - 50*x106
       - x176 =L= -55;

e72..  - 38*x92 + 14*x93 + 87*x94 + 42*x95 - 48*x96 - 83*x97 + 95*x98 + 2*x99
       - 30*x100 - 8*x101 - 29*x102 + 59*x103 - 56*x104 + 25*x105 - 68*x106
       - x177 =L= -6;

e73..  - 23*x92 - 33*x93 + 11*x94 + 39*x95 + 52*x96 - 75*x97 - 99*x98 + 37*x99
       + 52*x100 - 48*x101 - 73*x102 - 34*x103 + 54*x104 - 55*x105 + 78*x106
       - x178 =L= 26;

e74..    14*x92 - 31*x93 - 27*x94 + 41*x95 - 85*x96 - 34*x97 - 70*x98 - 87*x99
       - 47*x100 - 13*x101 - 46*x102 + 58*x103 - 27*x104 - 96*x105 + 6*x106
       - x179 =L= -86;

e75..    59*x92 + 17*x93 - 54*x94 + 99*x95 - 18*x96 + 55*x97 + 9*x98 + 71*x99
       - 88*x100 + 64*x101 + 24*x102 - 93*x103 - 9*x104 - 7*x105 - 52*x106
       - x180 =L= 67;

e76..  - 37*x92 + 30*x93 + 25*x94 + 83*x95 + 29*x96 + 2*x97 + 85*x98 + 42*x99
       + 9*x100 + 2*x101 - 5*x102 - 25*x103 - 66*x104 - 3*x105 - 81*x106 - x181
       =L= -19;

e77..  - 15*x92 + 18*x93 - 60*x94 - 18*x95 + 13*x96 - 17*x97 + 77*x98 - 56*x99
       + 33*x100 + 60*x101 + 16*x102 + 94*x103 + 63*x105 + 21*x106 - x182
       =L= 37;

e78..  - 69*x92 + 26*x93 + 94*x94 - 31*x95 + 29*x96 + 5*x97 - 45*x98 - 90*x99
       + 84*x100 - 39*x101 + 9*x102 - 25*x103 - 80*x104 - 15*x105 - x183 =L= 33
      ;

e79..    42*x92 - 24*x93 - 64*x94 + 78*x95 + 82*x96 - 69*x97 + 75*x98 - 79*x99
       - 28*x100 - 100*x101 + 76*x102 + 37*x103 + 69*x104 - 38*x105 + 40*x106
       - x184 =L= 99;

e80..  - 13*x92 - 4*x93 + 79*x94 + 16*x95 + 9*x96 - 84*x97 + 97*x98 - 28*x99
       - 67*x100 - 42*x101 + 53*x102 + 98*x103 + 6*x104 - 18*x105 + 36*x106
       - x185 =L= 1;

e81..    26*x92 + 68*x93 + 71*x94 + 78*x95 - 31*x96 + 57*x97 + 17*x98 - 56*x99
       + 5*x100 - 54*x101 - 5*x102 - 100*x103 - 36*x104 - 38*x105 - x106 - x186
       =L= -5;

e82..    15*x92 + 74*x93 - 36*x94 - 42*x95 - 84*x96 - 6*x97 - 63*x98 + 8*x99
       + 87*x100 + 32*x101 + 63*x102 - 61*x103 + 49*x104 + 85*x105 - 60*x106
       - x187 =L= 97;

e83..  - 23*x92 - 36*x93 + 59*x94 - 57*x95 - 6*x96 - 56*x97 + 12*x98 + 41*x99
       - 67*x100 + 67*x101 - 51*x102 + 47*x103 - 3*x104 + 2*x105 + 14*x106
       - x188 =L= 77;

e84..    47*x92 + 51*x93 + 87*x94 - 5*x95 - 38*x96 + 56*x97 + 91*x98 - 22*x99
       - 3*x100 + 37*x101 - 24*x102 - 94*x103 - 68*x104 + 21*x105 - 56*x106
       - x189 =L= -93;

e85..    14*x92 + 44*x93 + 93*x94 + 69*x95 + 75*x96 + 17*x97 - 11*x98 + 61*x99
       + 89*x100 + 98*x101 - 90*x102 + 41*x103 + 76*x104 + 32*x105 - 2*x106
       - x190 =L= 86;

e86..  - 61*x92 - 95*x93 - 9*x94 - 87*x95 + 56*x96 - 83*x97 + 11*x98 + 48*x99
       + 50*x100 + 99*x101 - 54*x102 - 30*x103 - 45*x104 + 24*x105 + 69*x106
       - x191 =L= 78;

e87..  - 6*x92 + 69*x93 - 43*x94 - 25*x95 + 54*x96 + 14*x97 - 17*x98 + 14*x99
       - 99*x100 - 60*x101 - 21*x102 - 38*x103 - 49*x104 + 24*x105 + 19*x106
       - x192 =L= -30;

e88..  - 92*x92 + 7*x93 - 80*x94 - 42*x95 - 50*x96 + 98*x97 + 58*x98 + 97*x99
       - 15*x100 - 6*x101 - 67*x102 - 21*x103 + 55*x104 + 11*x105 - 80*x106
       - x193 =L= 97;

e89..    47*x92 - 42*x93 + 36*x94 - 19*x95 - 14*x96 - 16*x97 - 85*x98 - 45*x99
       + 59*x100 + 22*x101 - 37*x102 - 43*x103 - 51*x104 - 49*x105 + 72*x106
       - x194 =L= 46;

e90..    20*x92 - 87*x93 + 81*x94 - 49*x95 - 6*x96 - 57*x97 + 88*x98 - 30*x99
       - 47*x100 - 84*x101 - 13*x102 + 78*x103 - 14*x104 - 18*x105 - 63*x106
       - x195 =L= 67;

e91..  - 59*x92 - 41*x94 + 10*x95 + 93*x96 - 79*x97 - 73*x98 + 57*x99 + 29*x100
       + 5*x101 + 86*x102 - 66*x103 - 99*x104 + 25*x105 - 62*x106 - x196 =L= 17
      ;

e92..  - b2 - x197 =E= -1;

e93..  - b3 - x198 =E= -1;

e94..  - b4 - x199 =E= -1;

e95..  - b5 - x200 =E= -1;

e96..  - b6 - x201 =E= -1;

e97..  - b7 - x202 =E= -1;

e98..  - b8 - x203 =E= -1;

e99..  - b9 - x204 =E= -1;

e100..  - b10 - x205 =E= -1;

e101..  - b11 - x206 =E= -1;

e102..  - b12 - x207 =E= -1;

e103..  - b13 - x208 =E= -1;

e104..  - b14 - x209 =E= -1;

e105..  - b15 - x210 =E= -1;

e106..  - b16 - x211 =E= -1;

e107..  - b17 - x212 =E= -1;

e108..  - b18 - x213 =E= -1;

e109..  - b19 - x214 =E= -1;

e110..  - b20 - x215 =E= -1;

e111..  - b21 - x216 =E= -1;

e112..  - b22 - x217 =E= -1;

e113..  - b23 - x218 =E= -1;

e114..  - b24 - x219 =E= -1;

e115..  - b25 - x220 =E= -1;

e116..  - b26 - x221 =E= -1;

e117..  - b27 - x222 =E= -1;

e118..  - b28 - x223 =E= -1;

e119..  - b29 - x224 =E= -1;

e120..  - b30 - x225 =E= -1;

e121..  - b31 - x226 =E= -1;

e122..  - b32 - x227 =E= -1;

e123..  - b33 - x228 =E= -1;

e124..  - b34 - x229 =E= -1;

e125..  - b35 - x230 =E= -1;

e126..  - b36 - x231 =E= -1;

e127..  - b37 - x232 =E= -1;

e128..  - b38 - x233 =E= -1;

e129..  - b39 - x234 =E= -1;

e130..  - b40 - x235 =E= -1;

e131..  - b41 - x236 =E= -1;

e132..  - b42 - x237 =E= -1;

e133..  - b43 - x238 =E= -1;

e134..  - b44 - x239 =E= -1;

e135..  - b45 - x240 =E= -1;

e136..  - b46 - x241 =E= -1;

e137..  - b47 - x242 =E= -1;

e138..  - b48 - x243 =E= -1;

e139..  - b49 - x244 =E= -1;

e140..  - b50 - x245 =E= -1;

e141..  - b51 - x246 =E= -1;

e142..  - b52 - x247 =E= -1;

e143..  - b53 - x248 =E= -1;

e144..  - b54 - x249 =E= -1;

e145..  - b55 - x250 =E= -1;

e146..  - b56 - x251 =E= -1;

e147..  - b57 - x252 =E= -1;

e148..  - b58 - x253 =E= -1;

e149..  - b59 - x254 =E= -1;

e150..  - b60 - x255 =E= -1;

e151..  - b61 - x256 =E= -1;

e152..  - b62 - x257 =E= -1;

e153..  - b63 - x258 =E= -1;

e154..  - b64 - x259 =E= -1;

e155..  - b65 - x260 =E= -1;

e156..  - b66 - x261 =E= -1;

e157..  - b67 - x262 =E= -1;

e158..  - b68 - x263 =E= -1;

e159..  - b69 - x264 =E= -1;

e160..  - b70 - x265 =E= -1;

e161..  - b71 - x266 =E= -1;

e162..  - b72 - x267 =E= -1;

e163..  - b73 - x268 =E= -1;

e164..  - b74 - x269 =E= -1;

e165..  - b75 - x270 =E= -1;

e166..  - b76 - x271 =E= -1;

e167..  - b77 - x272 =E= -1;

e168..  - b78 - x273 =E= -1;

e169..  - b79 - x274 =E= -1;

e170..  - b80 - x275 =E= -1;

e171..  - b81 - x276 =E= -1;

e172..  - b82 - x277 =E= -1;

e173..  - b83 - x278 =E= -1;

e174..  - b84 - x279 =E= -1;

e175..  - b85 - x280 =E= -1;

e176..  - b86 - x281 =E= -1;

e177..  - b87 - x282 =E= -1;

e178..  - b88 - x283 =E= -1;

e179..  - b89 - x284 =E= -1;

e180..  - b90 - x285 =E= -1;

e181..  - b91 - x286 =E= -1;

e182.. x197*x107 =E= 0;

e183.. x198*x108 =E= 0;

e184.. x199*x109 =E= 0;

e185.. x200*x110 =E= 0;

e186.. x201*x111 =E= 0;

e187.. x202*x112 =E= 0;

e188.. x203*x113 =E= 0;

e189.. x204*x114 =E= 0;

e190.. x205*x115 =E= 0;

e191.. x206*x116 =E= 0;

e192.. x207*x117 =E= 0;

e193.. x208*x118 =E= 0;

e194.. x209*x119 =E= 0;

e195.. x210*x120 =E= 0;

e196.. x211*x121 =E= 0;

e197.. x212*x122 =E= 0;

e198.. x213*x123 =E= 0;

e199.. x214*x124 =E= 0;

e200.. x215*x125 =E= 0;

e201.. x216*x126 =E= 0;

e202.. x217*x127 =E= 0;

e203.. x218*x128 =E= 0;

e204.. x219*x129 =E= 0;

e205.. x220*x130 =E= 0;

e206.. x221*x131 =E= 0;

e207.. x222*x132 =E= 0;

e208.. x223*x133 =E= 0;

e209.. x224*x134 =E= 0;

e210.. x225*x135 =E= 0;

e211.. x226*x136 =E= 0;

e212.. x227*x137 =E= 0;

e213.. x228*x138 =E= 0;

e214.. x229*x139 =E= 0;

e215.. x230*x140 =E= 0;

e216.. x231*x141 =E= 0;

e217.. x232*x142 =E= 0;

e218.. x233*x143 =E= 0;

e219.. x234*x144 =E= 0;

e220.. x235*x145 =E= 0;

e221.. x236*x146 =E= 0;

e222.. x237*x147 =E= 0;

e223.. x238*x148 =E= 0;

e224.. x239*x149 =E= 0;

e225.. x240*x150 =E= 0;

e226.. x241*x151 =E= 0;

e227.. x242*x152 =E= 0;

e228.. x243*x153 =E= 0;

e229.. x244*x154 =E= 0;

e230.. x245*x155 =E= 0;

e231.. x246*x156 =E= 0;

e232.. x247*x157 =E= 0;

e233.. x248*x158 =E= 0;

e234.. x249*x159 =E= 0;

e235.. x250*x160 =E= 0;

e236.. x251*x161 =E= 0;

e237.. x252*x162 =E= 0;

e238.. x253*x163 =E= 0;

e239.. x254*x164 =E= 0;

e240.. x255*x165 =E= 0;

e241.. x256*x166 =E= 0;

e242.. x257*x167 =E= 0;

e243.. x258*x168 =E= 0;

e244.. x259*x169 =E= 0;

e245.. x260*x170 =E= 0;

e246.. x261*x171 =E= 0;

e247.. x262*x172 =E= 0;

e248.. x263*x173 =E= 0;

e249.. x264*x174 =E= 0;

e250.. x265*x175 =E= 0;

e251.. x266*x176 =E= 0;

e252.. x267*x177 =E= 0;

e253.. x268*x178 =E= 0;

e254.. x269*x179 =E= 0;

e255.. x270*x180 =E= 0;

e256.. x271*x181 =E= 0;

e257.. x272*x182 =E= 0;

e258.. x273*x183 =E= 0;

e259.. x274*x184 =E= 0;

e260.. x275*x185 =E= 0;

e261.. x276*x186 =E= 0;

e262.. x277*x187 =E= 0;

e263.. x278*x188 =E= 0;

e264.. x279*x189 =E= 0;

e265.. x280*x190 =E= 0;

e266.. x281*x191 =E= 0;

e267.. x282*x192 =E= 0;

e268.. x283*x193 =E= 0;

e269.. x284*x194 =E= 0;

e270.. x285*x195 =E= 0;

e271.. x286*x196 =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% minimizing objvar;





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